The Joint Weight Enumerators of the Number of Inversions and Spearman's Rho \ over permutations on {1,...,n} for n from 1 to, 20 By Shalosh B. Ekhad Let J[n](p,q) be the polynomial in the variables p and q whose coefficient\ of p^i*q^j (for each i,j) is the exact number of permutations of {1,...\ ,n}, whose number of inversions is i and whose Spearman's Rho equals j We have the following (in Maple notation) J[1](p, q), equals 1 J[2](p, q), equals p*q^2+1 J[3](p, q), equals p^3*q^8+2*p^2*q^6+2*p*q^2+1 J[4](p, q), equals p^6*q^20+3*p^5*q^18+p^4*q^16+4*p^4*q^14+2*p^3*q^12+2*p^3*q^10+2*p^3*q^8+4*p^2*q ^6+p^2*q^4+3*p*q^2+1 J[5](p, q), equals p^10*q^40+4*p^9*q^38+3*p^8*q^36+6*p^8*q^34+7*p^7*q^32+4*p^7*q^30+2*p^6*q^30+4*p ^7*q^28+10*p^6*q^26+6*p^6*q^24+10*p^5*q^22+2*p^6*q^20+2*p^5*q^20+2*p^4*q^20+10* p^5*q^18+6*p^4*q^16+10*p^4*q^14+4*p^3*q^12+2*p^4*q^10+4*p^3*q^10+7*p^3*q^8+6*p^ 2*q^6+3*p^2*q^4+4*p*q^2+1 J[6](p, q), equals p^15*q^70+5*p^14*q^68+6*p^13*q^66+8*p^13*q^64+p^12*q^64+16*p^12*q^62+6*p^12*q^ 60+6*p^11*q^60+6*p^12*q^58+8*p^11*q^58+20*p^11*q^56+4*p^10*q^56+11*p^11*q^54+8* p^10*q^54+p^9*q^54+21*p^10*q^52+4*p^11*q^50+10*p^10*q^50+9*p^9*q^50+22*p^10*q^ 48+4*p^9*q^48+4*p^10*q^46+2*p^8*q^48+20*p^9*q^46+32*p^9*q^44+2*p^8*q^44+8*p^9*q ^42+2*p^10*q^40+12*p^8*q^42+8*p^9*q^40+22*p^8*q^40+8*p^9*q^38+30*p^8*q^38+4*p^7 *q^38+13*p^8*q^36+16*p^7*q^36+16*p^8*q^34+13*p^7*q^34+4*p^8*q^32+30*p^7*q^32+8* p^6*q^32+22*p^7*q^30+8*p^6*q^30+12*p^7*q^28+2*p^5*q^30+8*p^6*q^28+2*p^7*q^26+32 *p^6*q^26+20*p^6*q^24+2*p^7*q^22+4*p^5*q^24+4*p^6*q^22+22*p^5*q^22+9*p^6*q^20+ 10*p^5*q^20+4*p^4*q^20+21*p^5*q^18+p^6*q^16+8*p^5*q^16+11*p^4*q^16+4*p^5*q^14+ 20*p^4*q^14+8*p^4*q^12+6*p^3*q^12+6*p^4*q^10+6*p^3*q^10+16*p^3*q^8+p^3*q^6+8*p^ 2*q^6+6*p^2*q^4+5*p*q^2+1 J[7](p, q), equals p^21*q^112+6*p^20*q^110+10*p^19*q^108+10*p^19*q^106+4*p^18*q^106+29*p^18*q^104+ 8*p^18*q^102+18*p^17*q^102+8*p^18*q^100+24*p^17*q^100+3*p^16*q^100+34*p^17*q^98 +12*p^16*q^98+16*p^17*q^96+36*p^16*q^96+3*p^15*q^96+50*p^16*q^94+6*p^17*q^92+4* p^15*q^94+18*p^16*q^92+50*p^15*q^92+38*p^16*q^90+18*p^15*q^90+8*p^16*q^88+14*p^ 14*q^90+62*p^15*q^88+14*p^14*q^88+60*p^15*q^86+20*p^14*q^86+22*p^15*q^84+10*p^ 13*q^86+4*p^16*q^82+54*p^14*q^84+18*p^15*q^82+58*p^14*q^82+2*p^12*q^84+16*p^15* q^80+10*p^13*q^82+89*p^14*q^80+4*p^15*q^78+24*p^13*q^80+30*p^14*q^78+72*p^13*q^ 78+54*p^14*q^76+49*p^13*q^76+12*p^14*q^74+20*p^12*q^76+92*p^13*q^74+4*p^14*q^72 +30*p^12*q^74+2*p^15*q^70+94*p^13*q^72+34*p^12*q^72+46*p^13*q^70+15*p^11*q^72+ 10*p^14*q^68+48*p^12*q^70+20*p^13*q^68+132*p^12*q^68+2*p^10*q^70+14*p^13*q^66+6 *p^11*q^68+96*p^12*q^66+24*p^13*q^64+20*p^11*q^66+39*p^12*q^64+112*p^11*q^64+86 *p^12*q^62+38*p^11*q^62+22*p^12*q^60+20*p^10*q^62+132*p^11*q^60+18*p^12*q^58+14 *p^10*q^60+86*p^11*q^58+36*p^10*q^58+92*p^11*q^56+4*p^9*q^58+4*p^12*q^54+92*p^ 10*q^56+36*p^11*q^54+86*p^10*q^54+14*p^11*q^52+18*p^9*q^54+132*p^10*q^52+20*p^ 11*q^50+22*p^9*q^52+38*p^10*q^50+86*p^9*q^50+112*p^10*q^48+39*p^9*q^48+20*p^10* q^46+24*p^8*q^48+96*p^9*q^46+6*p^10*q^44+14*p^8*q^46+2*p^11*q^42+132*p^9*q^44+ 20*p^8*q^44+48*p^9*q^42+10*p^7*q^44+15*p^10*q^40+46*p^8*q^42+34*p^9*q^40+94*p^8 *q^40+2*p^6*q^42+30*p^9*q^38+4*p^7*q^40+92*p^8*q^38+20*p^9*q^36+12*p^7*q^38+49* p^8*q^36+54*p^7*q^36+72*p^8*q^34+30*p^7*q^34+24*p^8*q^32+4*p^6*q^34+89*p^7*q^32 +10*p^8*q^30+16*p^6*q^32+2*p^9*q^28+58*p^7*q^30+18*p^6*q^30+54*p^7*q^28+4*p^5*q ^30+10*p^8*q^26+22*p^6*q^28+20*p^7*q^26+60*p^6*q^26+14*p^7*q^24+62*p^6*q^24+14* p^7*q^22+8*p^5*q^24+18*p^6*q^22+38*p^5*q^22+50*p^6*q^20+18*p^5*q^20+4*p^6*q^18+ 6*p^4*q^20+50*p^5*q^18+3*p^6*q^16+36*p^5*q^16+16*p^4*q^16+12*p^5*q^14+34*p^4*q^ 14+3*p^5*q^12+24*p^4*q^12+8*p^3*q^12+18*p^4*q^10+8*p^3*q^10+29*p^3*q^8+4*p^3*q^ 6+10*p^2*q^6+10*p^2*q^4+6*p*q^2+1 J[8](p, q), equals p^28*q^168+7*p^27*q^166+15*p^26*q^164+12*p^26*q^162+10*p^25*q^162+46*p^25*q^160 +p^24*q^160+10*p^25*q^158+44*p^24*q^158+10*p^25*q^156+48*p^24*q^156+12*p^23*q^ 156+52*p^24*q^154+42*p^23*q^154+21*p^24*q^152+90*p^23*q^152+18*p^22*q^152+97*p^ 23*q^150+8*p^24*q^148+24*p^22*q^150+26*p^23*q^148+3*p^21*q^150+144*p^22*q^148+ 58*p^23*q^146+76*p^22*q^146+12*p^23*q^144+49*p^21*q^146+132*p^22*q^144+90*p^21* q^144+104*p^22*q^142+3*p^20*q^144+96*p^21*q^142+36*p^22*q^140+38*p^20*q^142+6*p ^23*q^138+198*p^21*q^140+28*p^22*q^138+36*p^20*q^140+122*p^21*q^138+6*p^19*q^ 140+28*p^22*q^136+104*p^20*q^138+170*p^21*q^136+4*p^19*q^138+8*p^22*q^134+141*p ^20*q^136+75*p^21*q^134+40*p^19*q^136+206*p^20*q^134+92*p^21*q^132+52*p^19*q^ 134+179*p^20*q^132+8*p^18*q^134+28*p^21*q^130+90*p^19*q^132+210*p^20*q^130+19*p ^18*q^132+12*p^21*q^128+148*p^19*q^130+4*p^22*q^126+226*p^20*q^128+8*p^18*q^130 +196*p^19*q^128+6*p^17*q^130+104*p^20*q^126+82*p^18*q^128+20*p^21*q^124+212*p^ 19*q^126+46*p^20*q^124+56*p^18*q^126+p^16*q^128+4*p^21*q^122+368*p^19*q^124+18* p^17*q^126+40*p^20*q^122+82*p^18*q^124+248*p^19*q^122+26*p^17*q^124+62*p^20*q^ 120+182*p^18*q^122+150*p^19*q^120+6*p^17*q^122+4*p^20*q^118+386*p^18*q^120+12*p ^16*q^122+209*p^19*q^118+40*p^17*q^120+4*p^20*q^116+210*p^18*q^118+88*p^19*q^ 116+130*p^17*q^118+2*p^15*q^120+422*p^18*q^116+4*p^16*q^118+2*p^21*q^112+65*p^ 19*q^114+132*p^17*q^116+280*p^18*q^114+20*p^16*q^116+12*p^19*q^112+232*p^17*q^ 114+12*p^20*q^110+322*p^18*q^112+16*p^16*q^114+8*p^19*q^110+362*p^17*q^112+2*p^ 15*q^114+180*p^18*q^110+78*p^16*q^112+24*p^19*q^108+342*p^17*q^110+60*p^18*q^ 108+134*p^16*q^110+20*p^19*q^106+538*p^17*q^108+8*p^15*q^110+84*p^18*q^106+132* p^16*q^108+274*p^17*q^106+32*p^15*q^108+70*p^18*q^104+320*p^16*q^106+396*p^17*q ^104+16*p^15*q^106+16*p^18*q^102+340*p^16*q^104+4*p^14*q^106+179*p^17*q^102+116 *p^15*q^104+18*p^18*q^100+440*p^16*q^102+118*p^17*q^100+90*p^15*q^102+8*p^18*q^ 98+605*p^16*q^100+20*p^14*q^102+102*p^17*q^98+140*p^15*q^100+336*p^16*q^98+36*p ^14*q^100+90*p^17*q^96+314*p^15*q^98+344*p^16*q^96+8*p^14*q^98+6*p^17*q^94+486* p^15*q^96+13*p^13*q^98+296*p^16*q^94+60*p^14*q^96+16*p^17*q^92+400*p^15*q^94+ 162*p^16*q^92+116*p^14*q^94+2*p^12*q^96+564*p^15*q^92+8*p^13*q^94+124*p^16*q^90 +198*p^14*q^92+440*p^15*q^90+10*p^13*q^92+44*p^16*q^88+266*p^14*q^90+4*p^17*q^ 86+456*p^15*q^88+14*p^13*q^90+4*p^16*q^86+486*p^14*q^88+297*p^15*q^86+80*p^13*q ^88+24*p^16*q^84+394*p^14*q^86+114*p^15*q^84+134*p^13*q^86+12*p^16*q^82+660*p^ 14*q^84+12*p^12*q^86+134*p^15*q^82+114*p^13*q^84+394*p^14*q^82+24*p^12*q^84+80* p^15*q^80+297*p^13*q^82+486*p^14*q^80+4*p^12*q^82+14*p^15*q^78+456*p^13*q^80+4* p^11*q^82+266*p^14*q^78+44*p^12*q^80+10*p^15*q^76+440*p^13*q^78+198*p^14*q^76+ 124*p^12*q^78+8*p^15*q^74+564*p^13*q^76+2*p^16*q^72+116*p^14*q^74+162*p^12*q^76 +400*p^13*q^74+16*p^11*q^76+60*p^14*q^72+296*p^12*q^74+13*p^15*q^70+486*p^13*q^ 72+6*p^11*q^74+8*p^14*q^70+344*p^12*q^72+314*p^13*q^70+90*p^11*q^72+36*p^14*q^ 68+336*p^12*q^70+140*p^13*q^68+102*p^11*q^70+20*p^14*q^66+605*p^12*q^68+8*p^10* q^70+90*p^13*q^66+118*p^11*q^68+440*p^12*q^66+18*p^10*q^68+116*p^13*q^64+179*p^ 11*q^66+4*p^14*q^62+340*p^12*q^64+16*p^10*q^66+16*p^13*q^62+396*p^11*q^64+320*p ^12*q^62+70*p^10*q^64+32*p^13*q^60+274*p^11*q^62+132*p^12*q^60+84*p^10*q^62+8*p ^13*q^58+538*p^11*q^60+20*p^9*q^62+134*p^12*q^58+60*p^10*q^60+342*p^11*q^58+24* p^9*q^60+78*p^12*q^56+180*p^10*q^58+2*p^13*q^54+362*p^11*q^56+8*p^9*q^58+16*p^ 12*q^54+322*p^10*q^56+12*p^8*q^58+232*p^11*q^54+12*p^9*q^56+20*p^12*q^52+280*p^ 10*q^54+132*p^11*q^52+65*p^9*q^54+2*p^7*q^56+4*p^12*q^50+422*p^10*q^52+2*p^13*q ^48+130*p^11*q^50+88*p^9*q^52+210*p^10*q^50+4*p^8*q^52+40*p^11*q^48+209*p^9*q^ 50+12*p^12*q^46+386*p^10*q^48+4*p^8*q^50+6*p^11*q^46+150*p^9*q^48+182*p^10*q^46 +62*p^8*q^48+26*p^11*q^44+248*p^9*q^46+82*p^10*q^44+40*p^8*q^46+18*p^11*q^42+ 368*p^9*q^44+4*p^7*q^46+p^12*q^40+56*p^10*q^42+46*p^8*q^44+212*p^9*q^42+20*p^7* q^44+82*p^10*q^40+104*p^8*q^42+6*p^11*q^38+196*p^9*q^40+8*p^10*q^38+226*p^8*q^ 40+4*p^6*q^42+148*p^9*q^38+12*p^7*q^40+19*p^10*q^36+210*p^8*q^38+90*p^9*q^36+28 *p^7*q^38+8*p^10*q^34+179*p^8*q^36+52*p^9*q^34+92*p^7*q^36+206*p^8*q^34+40*p^9* q^32+75*p^7*q^34+141*p^8*q^32+8*p^6*q^34+4*p^9*q^30+170*p^7*q^32+104*p^8*q^30+ 28*p^6*q^32+6*p^9*q^28+122*p^7*q^30+36*p^8*q^28+28*p^6*q^30+198*p^7*q^28+6*p^5* q^30+38*p^8*q^26+36*p^6*q^28+96*p^7*q^26+3*p^8*q^24+104*p^6*q^26+90*p^7*q^24+ 132*p^6*q^24+49*p^7*q^22+12*p^5*q^24+76*p^6*q^22+58*p^5*q^22+144*p^6*q^20+3*p^7 *q^18+26*p^5*q^20+24*p^6*q^18+8*p^4*q^20+97*p^5*q^18+18*p^6*q^16+90*p^5*q^16+21 *p^4*q^16+42*p^5*q^14+52*p^4*q^14+12*p^5*q^12+48*p^4*q^12+10*p^3*q^12+44*p^4*q^ 10+10*p^3*q^10+p^4*q^8+46*p^3*q^8+10*p^3*q^6+12*p^2*q^6+15*p^2*q^4+7*p*q^2+1 J[9](p, q), equals p^36*q^240+8*p^35*q^238+21*p^34*q^236+14*p^34*q^234+20*p^33*q^234+67*p^33*q^232 +5*p^32*q^232+12*p^33*q^230+90*p^32*q^230+12*p^33*q^228+80*p^32*q^228+38*p^31*q ^228+74*p^32*q^226+112*p^31*q^226+26*p^32*q^224+4*p^30*q^226+176*p^31*q^224+58* p^30*q^224+162*p^31*q^222+10*p^32*q^220+110*p^30*q^222+34*p^31*q^220+12*p^29*q^ 222+330*p^30*q^220+82*p^31*q^218+24*p^29*q^220+178*p^30*q^218+16*p^31*q^216+188 *p^29*q^218+236*p^30*q^216+6*p^28*q^218+266*p^29*q^216+164*p^30*q^214+36*p^28*q ^216+322*p^29*q^214+p^27*q^216+50*p^30*q^212+130*p^28*q^214+8*p^31*q^210+470*p^ 29*q^212+38*p^30*q^210+194*p^28*q^212+238*p^29*q^210+42*p^27*q^212+44*p^30*q^ 208+434*p^28*q^210+279*p^29*q^208+20*p^27*q^210+12*p^30*q^206+495*p^28*q^208+6* p^26*q^210+136*p^29*q^206+204*p^27*q^208+564*p^28*q^206+146*p^29*q^204+298*p^27 *q^206+389*p^28*q^204+32*p^26*q^206+44*p^29*q^202+527*p^27*q^204+464*p^28*q^202 +97*p^26*q^204+20*p^29*q^200+568*p^27*q^202+6*p^30*q^198+380*p^28*q^200+180*p^ 26*q^202+656*p^27*q^200+26*p^25*q^202+184*p^28*q^198+484*p^26*q^200+34*p^29*q^ 196+678*p^27*q^198+12*p^25*q^200+84*p^28*q^196+360*p^26*q^198+3*p^24*q^200+8*p^ 29*q^194+774*p^27*q^196+164*p^25*q^198+86*p^28*q^194+590*p^26*q^196+524*p^27*q^ 194+222*p^25*q^196+104*p^28*q^192+798*p^26*q^194+15*p^24*q^196+317*p^27*q^192+ 262*p^25*q^194+14*p^28*q^190+1140*p^26*q^192+80*p^24*q^194+428*p^27*q^190+326*p ^25*q^192+12*p^28*q^188+666*p^26*q^190+108*p^24*q^192+176*p^27*q^188+776*p^25*q ^190+14*p^23*q^192+1080*p^26*q^188+136*p^24*q^190+4*p^29*q^184+148*p^27*q^186+ 714*p^25*q^188+12*p^23*q^190+674*p^26*q^186+214*p^24*q^188+30*p^27*q^184+1034*p ^25*q^186+86*p^23*q^188+24*p^28*q^182+730*p^26*q^184+296*p^24*q^186+24*p^27*q^ 182+1290*p^25*q^184+42*p^23*q^186+4*p^28*q^180+420*p^26*q^182+502*p^24*q^184+20 *p^22*q^186+48*p^27*q^180+1146*p^25*q^182+88*p^23*q^184+190*p^26*q^180+876*p^24 *q^182+32*p^22*q^184+60*p^27*q^178+1430*p^25*q^180+76*p^23*q^182+178*p^26*q^178 +884*p^24*q^180+10*p^22*q^182+4*p^27*q^176+854*p^25*q^178+320*p^23*q^180+14*p^ 21*q^182+168*p^26*q^176+1432*p^24*q^178+4*p^27*q^174+1010*p^25*q^176+354*p^23*q ^178+94*p^26*q^174+1305*p^24*q^176+50*p^22*q^178+2*p^20*q^180+430*p^25*q^174+ 790*p^23*q^176+64*p^26*q^172+1772*p^24*q^174+120*p^22*q^176+434*p^25*q^172+602* p^23*q^174+2*p^28*q^168+22*p^26*q^170+1700*p^24*q^172+216*p^22*q^174+340*p^25*q ^170+1107*p^23*q^172+20*p^21*q^174+1166*p^24*q^170+318*p^22*q^172+14*p^27*q^166 +273*p^25*q^168+1634*p^23*q^170+24*p^21*q^172+4*p^26*q^166+1070*p^24*q^168+252* p^22*q^170+36*p^25*q^166+1930*p^23*q^168+154*p^21*q^170+30*p^26*q^164+1042*p^24 *q^166+544*p^22*q^168+66*p^25*q^164+1706*p^23*q^166+72*p^21*q^168+24*p^26*q^162 +606*p^24*q^164+912*p^22*q^166+30*p^20*q^168+28*p^25*q^162+2003*p^23*q^164+100* p^21*q^166+410*p^24*q^162+1462*p^22*q^164+52*p^20*q^166+96*p^25*q^160+1790*p^23 *q^162+120*p^21*q^164+230*p^24*q^160+1358*p^22*q^162+6*p^20*q^164+28*p^25*q^158 +1654*p^23*q^160+438*p^21*q^162+18*p^19*q^164+142*p^24*q^158+2196*p^22*q^160+24 *p^25*q^156+1256*p^23*q^158+624*p^21*q^160+174*p^24*q^156+1898*p^22*q^158+52*p^ 20*q^160+2*p^18*q^162+602*p^23*q^156+1020*p^21*q^158+152*p^24*q^154+2794*p^22*q ^156+148*p^20*q^158+672*p^23*q^154+926*p^21*q^156+54*p^24*q^152+2006*p^22*q^154 +276*p^20*q^156+457*p^23*q^152+1640*p^21*q^154+20*p^19*q^156+2156*p^22*q^152+ 290*p^20*q^154+382*p^23*q^150+2278*p^21*q^152+24*p^19*q^154+16*p^24*q^148+1260* p^22*q^150+456*p^20*q^152+112*p^23*q^148+2492*p^21*q^150+104*p^19*q^152+2*p^24* q^146+1392*p^22*q^148+738*p^20*q^150+156*p^23*q^146+2728*p^21*q^148+66*p^19*q^ 150+8*p^24*q^144+862*p^22*q^146+1186*p^20*q^148+16*p^18*q^150+36*p^23*q^144+ 2352*p^21*q^146+182*p^19*q^148+616*p^22*q^144+1786*p^20*q^146+22*p^18*q^148+50* p^23*q^142+2675*p^21*q^144+124*p^19*q^146+360*p^22*q^142+1903*p^20*q^144+18*p^ 18*q^146+6*p^23*q^140+1938*p^21*q^142+652*p^19*q^144+4*p^17*q^146+250*p^22*q^ 140+2392*p^20*q^142+16*p^23*q^138+1666*p^21*q^140+666*p^19*q^142+184*p^22*q^138 +3030*p^20*q^140+80*p^18*q^142+900*p^21*q^138+1024*p^19*q^140+98*p^22*q^136+ 3114*p^20*q^138+212*p^18*q^140+1068*p^21*q^136+1018*p^19*q^138+46*p^22*q^134+ 2536*p^20*q^136+238*p^18*q^138+444*p^21*q^134+2378*p^19*q^136+32*p^17*q^138+ 2608*p^20*q^134+328*p^18*q^136+4*p^23*q^130+496*p^21*q^132+2094*p^19*q^134+28*p ^17*q^136+4*p^22*q^130+1712*p^20*q^132+486*p^18*q^134+124*p^21*q^130+3243*p^19* q^132+144*p^17*q^134+20*p^22*q^128+1718*p^20*q^130+690*p^18*q^132+92*p^21*q^128 +2886*p^19*q^130+64*p^17*q^132+12*p^22*q^126+1276*p^20*q^128+1112*p^18*q^130+28 *p^16*q^132+40*p^21*q^126+3002*p^19*q^128+136*p^17*q^130+634*p^20*q^126+2184*p^ 18*q^128+40*p^16*q^130+96*p^21*q^124+2742*p^19*q^126+98*p^17*q^128+374*p^20*q^ 124+1800*p^18*q^126+10*p^16*q^128+16*p^21*q^122+2668*p^19*q^124+490*p^17*q^126+ 15*p^15*q^128+248*p^20*q^122+2800*p^18*q^124+12*p^21*q^120+2010*p^19*q^122+698* p^17*q^124+264*p^20*q^120+2540*p^18*q^122+36*p^16*q^124+2*p^14*q^126+982*p^19*q ^120+1078*p^17*q^122+128*p^20*q^118+4172*p^18*q^120+128*p^16*q^122+1078*p^19*q^ 118+982*p^17*q^120+2*p^22*q^114+36*p^20*q^116+2540*p^18*q^118+264*p^16*q^120+ 698*p^19*q^116+2010*p^17*q^118+12*p^15*q^120+2800*p^18*q^116+248*p^16*q^118+15* p^21*q^112+490*p^19*q^114+2668*p^17*q^116+16*p^15*q^118+10*p^20*q^112+1800*p^18 *q^114+374*p^16*q^116+98*p^19*q^112+2742*p^17*q^114+96*p^15*q^116+40*p^20*q^110 +2184*p^18*q^112+634*p^16*q^114+136*p^19*q^110+3002*p^17*q^112+40*p^15*q^114+28 *p^20*q^108+1112*p^18*q^110+1276*p^16*q^112+12*p^14*q^114+64*p^19*q^108+2886*p^ 17*q^110+92*p^15*q^112+690*p^18*q^108+1718*p^16*q^110+20*p^14*q^112+144*p^19*q^ 106+3243*p^17*q^108+124*p^15*q^110+486*p^18*q^106+1712*p^16*q^108+4*p^14*q^110+ 28*p^19*q^104+2094*p^17*q^106+496*p^15*q^108+4*p^13*q^110+328*p^18*q^104+2608*p ^16*q^106+32*p^19*q^102+2378*p^17*q^104+444*p^15*q^106+238*p^18*q^102+2536*p^16 *q^104+46*p^14*q^106+1018*p^17*q^102+1068*p^15*q^104+212*p^18*q^100+3114*p^16*q ^102+98*p^14*q^104+1024*p^17*q^100+900*p^15*q^102+80*p^18*q^98+3030*p^16*q^100+ 184*p^14*q^102+666*p^17*q^98+1666*p^15*q^100+16*p^13*q^102+2392*p^16*q^98+250*p ^14*q^100+4*p^19*q^94+652*p^17*q^96+1938*p^15*q^98+6*p^13*q^100+18*p^18*q^94+ 1903*p^16*q^96+360*p^14*q^98+124*p^17*q^94+2675*p^15*q^96+50*p^13*q^98+22*p^18* q^92+1786*p^16*q^94+616*p^14*q^96+182*p^17*q^92+2352*p^15*q^94+36*p^13*q^96+16* p^18*q^90+1186*p^16*q^92+862*p^14*q^94+8*p^12*q^96+66*p^17*q^90+2728*p^15*q^92+ 156*p^13*q^94+738*p^16*q^90+1392*p^14*q^92+2*p^12*q^94+104*p^17*q^88+2492*p^15* q^90+112*p^13*q^92+456*p^16*q^88+1260*p^14*q^90+16*p^12*q^92+24*p^17*q^86+2278* p^15*q^88+382*p^13*q^90+290*p^16*q^86+2156*p^14*q^88+20*p^17*q^84+1640*p^15*q^ 86+457*p^13*q^88+276*p^16*q^84+2006*p^14*q^86+54*p^12*q^88+926*p^15*q^84+672*p^ 13*q^86+148*p^16*q^82+2794*p^14*q^84+152*p^12*q^86+1020*p^15*q^82+602*p^13*q^84 +2*p^18*q^78+52*p^16*q^80+1898*p^14*q^82+174*p^12*q^84+624*p^15*q^80+1256*p^13* q^82+24*p^11*q^84+2196*p^14*q^80+142*p^12*q^82+18*p^17*q^76+438*p^15*q^78+1654* p^13*q^80+28*p^11*q^82+6*p^16*q^76+1358*p^14*q^78+230*p^12*q^80+120*p^15*q^76+ 1790*p^13*q^78+96*p^11*q^80+52*p^16*q^74+1462*p^14*q^76+410*p^12*q^78+100*p^15* q^74+2003*p^13*q^76+28*p^11*q^78+30*p^16*q^72+912*p^14*q^74+606*p^12*q^76+24*p^ 10*q^78+72*p^15*q^72+1706*p^13*q^74+66*p^11*q^76+544*p^14*q^72+1042*p^12*q^74+ 30*p^10*q^76+154*p^15*q^70+1930*p^13*q^72+36*p^11*q^74+252*p^14*q^70+1070*p^12* q^72+4*p^10*q^74+24*p^15*q^68+1634*p^13*q^70+273*p^11*q^72+14*p^9*q^74+318*p^14 *q^68+1166*p^12*q^70+20*p^15*q^66+1107*p^13*q^68+340*p^11*q^70+216*p^14*q^66+ 1700*p^12*q^68+22*p^10*q^70+2*p^8*q^72+602*p^13*q^66+434*p^11*q^68+120*p^14*q^ 64+1772*p^12*q^66+64*p^10*q^68+790*p^13*q^64+430*p^11*q^66+2*p^16*q^60+50*p^14* q^62+1305*p^12*q^64+94*p^10*q^66+354*p^13*q^62+1010*p^11*q^64+4*p^9*q^66+1432*p ^12*q^62+168*p^10*q^64+14*p^15*q^58+320*p^13*q^60+854*p^11*q^62+4*p^9*q^64+10*p ^14*q^58+884*p^12*q^60+178*p^10*q^62+76*p^13*q^58+1430*p^11*q^60+60*p^9*q^62+32 *p^14*q^56+876*p^12*q^58+190*p^10*q^60+88*p^13*q^56+1146*p^11*q^58+48*p^9*q^60+ 20*p^14*q^54+502*p^12*q^56+420*p^10*q^58+4*p^8*q^60+42*p^13*q^54+1290*p^11*q^56 +24*p^9*q^58+296*p^12*q^54+730*p^10*q^56+24*p^8*q^58+86*p^13*q^52+1034*p^11*q^ 54+30*p^9*q^56+214*p^12*q^52+674*p^10*q^54+12*p^13*q^50+714*p^11*q^52+148*p^9*q ^54+4*p^7*q^56+136*p^12*q^50+1080*p^10*q^52+14*p^13*q^48+776*p^11*q^50+176*p^9* q^52+108*p^12*q^48+666*p^10*q^50+12*p^8*q^52+326*p^11*q^48+428*p^9*q^50+80*p^12 *q^46+1140*p^10*q^48+14*p^8*q^50+262*p^11*q^46+317*p^9*q^48+15*p^12*q^44+798*p^ 10*q^46+104*p^8*q^48+222*p^11*q^44+524*p^9*q^46+590*p^10*q^44+86*p^8*q^46+164*p ^11*q^42+774*p^9*q^44+8*p^7*q^46+3*p^12*q^40+360*p^10*q^42+84*p^8*q^44+12*p^11* q^40+678*p^9*q^42+34*p^7*q^44+484*p^10*q^40+184*p^8*q^42+26*p^11*q^38+656*p^9*q ^40+180*p^10*q^38+380*p^8*q^40+6*p^6*q^42+568*p^9*q^38+20*p^7*q^40+97*p^10*q^36 +464*p^8*q^38+527*p^9*q^36+44*p^7*q^38+32*p^10*q^34+389*p^8*q^36+298*p^9*q^34+ 146*p^7*q^36+564*p^8*q^34+204*p^9*q^32+136*p^7*q^34+6*p^10*q^30+495*p^8*q^32+12 *p^6*q^34+20*p^9*q^30+279*p^7*q^32+434*p^8*q^30+44*p^6*q^32+42*p^9*q^28+238*p^7 *q^30+194*p^8*q^28+38*p^6*q^30+470*p^7*q^28+8*p^5*q^30+130*p^8*q^26+50*p^6*q^28 +p^9*q^24+322*p^7*q^26+36*p^8*q^24+164*p^6*q^26+266*p^7*q^24+6*p^8*q^22+236*p^6 *q^24+188*p^7*q^22+16*p^5*q^24+178*p^6*q^22+24*p^7*q^20+82*p^5*q^22+330*p^6*q^ 20+12*p^7*q^18+34*p^5*q^20+110*p^6*q^18+10*p^4*q^20+162*p^5*q^18+58*p^6*q^16+ 176*p^5*q^16+4*p^6*q^14+26*p^4*q^16+112*p^5*q^14+74*p^4*q^14+38*p^5*q^12+80*p^4 *q^12+12*p^3*q^12+90*p^4*q^10+12*p^3*q^10+5*p^4*q^8+67*p^3*q^8+20*p^3*q^6+14*p^ 2*q^6+21*p^2*q^4+8*p*q^2+1 J[10](p, q), equals p^45*q^330+9*p^44*q^328+28*p^43*q^326+16*p^43*q^324+35*p^42*q^324+92*p^42*q^322 +15*p^41*q^322+14*p^42*q^320+162*p^41*q^320+14*p^42*q^318+p^40*q^320+120*p^41*q ^318+100*p^40*q^318+100*p^41*q^316+240*p^40*q^316+31*p^41*q^314+20*p^39*q^316+ 300*p^40*q^314+167*p^39*q^314+245*p^40*q^312+12*p^41*q^310+320*p^39*q^312+42*p^ 40*q^310+54*p^38*q^312+647*p^39*q^310+110*p^40*q^308+112*p^38*q^310+324*p^39*q^ 308+6*p^37*q^310+20*p^40*q^306+582*p^38*q^308+380*p^39*q^306+24*p^37*q^308+674* p^38*q^306+240*p^39*q^304+174*p^37*q^306+746*p^38*q^304+4*p^36*q^306+64*p^39*q^ 302+532*p^37*q^304+10*p^40*q^300+906*p^38*q^302+10*p^36*q^304+48*p^39*q^300+636 *p^37*q^302+406*p^38*q^300+218*p^36*q^302+64*p^39*q^298+1308*p^37*q^300+416*p^ 38*q^298+202*p^36*q^300+16*p^39*q^296+1194*p^37*q^298+36*p^35*q^300+219*p^38*q^ 296+796*p^36*q^298+1220*p^37*q^296+63*p^35*q^298+216*p^38*q^294+1161*p^36*q^296 +757*p^37*q^294+200*p^35*q^296+60*p^38*q^292+1700*p^36*q^294+21*p^34*q^296+830* p^37*q^292+480*p^35*q^294+28*p^38*q^290+1797*p^36*q^292+24*p^34*q^294+8*p^39*q^ 288+594*p^37*q^290+864*p^35*q^292+3*p^33*q^294+1524*p^36*q^290+125*p^34*q^292+ 288*p^37*q^288+2007*p^35*q^290+52*p^38*q^286+1702*p^36*q^288+128*p^34*q^290+122 *p^37*q^286+1636*p^35*q^288+24*p^33*q^290+12*p^38*q^284+1400*p^36*q^286+848*p^ 34*q^288+152*p^37*q^284+2224*p^35*q^286+8*p^33*q^288+894*p^36*q^284+1204*p^34*q ^286+3*p^32*q^288+162*p^37*q^282+2622*p^35*q^284+128*p^33*q^286+566*p^36*q^282+ 1558*p^34*q^284+24*p^37*q^280+2608*p^35*q^282+430*p^33*q^284+773*p^36*q^280+ 2104*p^34*q^282+4*p^32*q^284+20*p^37*q^278+1672*p^35*q^280+628*p^33*q^282+284*p ^36*q^278+3200*p^34*q^280+88*p^32*q^282+2142*p^35*q^278+1146*p^33*q^280+6*p^38* q^274+247*p^36*q^276+2802*p^34*q^278+88*p^32*q^280+1420*p^35*q^276+1718*p^33*q^ 278+6*p^31*q^280+60*p^36*q^274+3159*p^34*q^276+450*p^32*q^278+40*p^37*q^272+ 1308*p^35*q^274+2388*p^33*q^276+8*p^31*q^278+42*p^36*q^272+3506*p^34*q^274+544* p^32*q^276+8*p^37*q^270+772*p^35*q^272+2581*p^33*q^274+72*p^31*q^276+100*p^36*q ^270+3007*p^34*q^272+1142*p^32*q^274+360*p^35*q^270+3798*p^33*q^272+170*p^31*q^ 274+100*p^36*q^268+3030*p^34*q^270+1395*p^32*q^272+376*p^35*q^268+3736*p^33*q^ 270+288*p^31*q^272+14*p^36*q^266+1856*p^34*q^268+2086*p^32*q^270+50*p^30*q^272+ 310*p^35*q^266+4894*p^33*q^268+546*p^31*q^270+12*p^36*q^264+2044*p^34*q^266+ 2488*p^32*q^268+20*p^30*q^270+208*p^35*q^264+3962*p^33*q^266+822*p^31*q^268+6*p ^29*q^270+971*p^34*q^264+3948*p^32*q^266+142*p^30*q^268+146*p^35*q^262+4828*p^ 33*q^264+1075*p^31*q^266+880*p^34*q^262+3938*p^32*q^264+282*p^30*q^266+4*p^37*q ^258+40*p^35*q^260+4145*p^33*q^262+1740*p^31*q^264+12*p^29*q^266+798*p^34*q^260 +4752*p^32*q^262+384*p^30*q^264+12*p^35*q^258+2700*p^33*q^260+2513*p^31*q^262+ 60*p^29*q^264+28*p^36*q^256+550*p^34*q^258+6691*p^32*q^260+446*p^30*q^262+8*p^ 35*q^256+2596*p^33*q^258+2376*p^31*q^260+136*p^29*q^262+4*p^36*q^254+146*p^34*q ^256+5872*p^32*q^258+1173*p^30*q^260+8*p^28*q^262+60*p^35*q^254+2446*p^33*q^256 +4143*p^31*q^258+124*p^29*q^260+138*p^34*q^254+5388*p^32*q^256+984*p^30*q^258+ 16*p^28*q^260+72*p^35*q^252+1418*p^33*q^254+5528*p^31*q^256+296*p^29*q^258+66*p ^34*q^252+5562*p^32*q^254+1538*p^30*q^256+62*p^28*q^258+4*p^35*q^250+984*p^33*q ^252+6280*p^31*q^254+468*p^29*q^256+244*p^34*q^250+4934*p^32*q^252+2172*p^30*q^ 254+49*p^28*q^256+4*p^35*q^248+548*p^33*q^250+6520*p^31*q^252+488*p^29*q^254+12 *p^27*q^256+116*p^34*q^248+4272*p^32*q^250+3424*p^30*q^252+134*p^28*q^254+408*p ^33*q^248+7879*p^31*q^250+588*p^29*q^252+22*p^27*q^254+76*p^34*q^246+3135*p^32* q^248+4476*p^30*q^250+166*p^28*q^252+532*p^33*q^246+7510*p^31*q^248+998*p^29*q^ 250+18*p^27*q^252+8*p^34*q^244+1764*p^32*q^246+5977*p^30*q^248+244*p^28*q^250+8 *p^26*q^252+428*p^33*q^244+8026*p^31*q^246+1832*p^29*q^248+20*p^27*q^250+2*p^36 *q^240+1808*p^32*q^244+6320*p^30*q^246+174*p^28*q^248+220*p^33*q^242+6390*p^31* q^244+2336*p^29*q^246+124*p^27*q^248+p^25*q^250+4*p^34*q^240+1266*p^32*q^242+ 8186*p^30*q^244+448*p^28*q^246+16*p^35*q^238+24*p^33*q^240+6188*p^31*q^242+3224 *p^29*q^244+60*p^27*q^246+1218*p^32*q^240+9108*p^30*q^242+651*p^28*q^244+24*p^ 26*q^246+66*p^33*q^238+4046*p^31*q^240+4373*p^29*q^242+56*p^27*q^244+42*p^34*q^ 236+548*p^32*q^238+10338*p^30*q^240+1058*p^28*q^242+44*p^26*q^244+16*p^33*q^236 +3822*p^31*q^238+5566*p^29*q^240+152*p^27*q^242+28*p^34*q^234+474*p^32*q^236+ 9698*p^30*q^238+1462*p^28*q^240+4*p^26*q^242+54*p^33*q^234+2936*p^31*q^236+7122 *p^29*q^238+216*p^27*q^240+16*p^25*q^242+208*p^32*q^234+8530*p^30*q^236+2312*p^ 28*q^238+18*p^26*q^240+134*p^33*q^232+2126*p^31*q^234+9806*p^29*q^236+328*p^27* q^238+149*p^32*q^232+8436*p^30*q^234+2462*p^28*q^236+36*p^26*q^238+2*p^24*q^240 +28*p^33*q^230+1464*p^31*q^232+9708*p^29*q^234+650*p^27*q^236+208*p^32*q^230+ 6757*p^30*q^232+4472*p^28*q^234+50*p^26*q^236+24*p^33*q^228+954*p^31*q^230+ 11558*p^29*q^232+868*p^27*q^234+4*p^25*q^236+222*p^32*q^228+5742*p^30*q^230+ 5596*p^28*q^232+100*p^26*q^234+676*p^31*q^228+12096*p^29*q^230+1168*p^27*q^232+ 12*p^25*q^234+156*p^32*q^226+3984*p^30*q^228+7108*p^28*q^230+260*p^26*q^232+566 *p^31*q^226+11810*p^29*q^228+2011*p^27*q^230+8*p^25*q^232+52*p^32*q^224+3706*p^ 30*q^226+8755*p^28*q^228+292*p^26*q^230+2*p^24*q^232+576*p^31*q^224+10052*p^29* q^226+2406*p^27*q^228+28*p^25*q^230+4*p^32*q^222+2004*p^30*q^224+11904*p^28*q^ 226+478*p^26*q^228+358*p^31*q^222+10552*p^29*q^224+3396*p^27*q^226+72*p^25*q^ 228+28*p^32*q^220+1958*p^30*q^222+11514*p^28*q^224+660*p^26*q^226+116*p^31*q^ 220+7596*p^29*q^222+5278*p^27*q^224+92*p^25*q^226+4*p^32*q^218+1348*p^30*q^220+ 14052*p^28*q^222+1116*p^26*q^224+8*p^24*q^226+212*p^31*q^218+6600*p^29*q^220+ 6224*p^27*q^222+156*p^25*q^224+846*p^30*q^218+14366*p^28*q^220+1264*p^26*q^222+ 24*p^24*q^224+84*p^31*q^216+5438*p^29*q^218+8424*p^27*q^220+294*p^25*q^222+705* p^30*q^216+13398*p^28*q^218+1970*p^26*q^220+20*p^24*q^222+12*p^31*q^214+3588*p^ 29*q^216+11704*p^27*q^218+384*p^25*q^220+4*p^23*q^222+660*p^30*q^214+12802*p^28 *q^216+2588*p^26*q^218+28*p^24*q^220+2571*p^29*q^214+12172*p^27*q^216+392*p^25* q^218+252*p^30*q^212+11758*p^28*q^214+4482*p^26*q^216+166*p^24*q^218+16*p^31*q^ 210+2272*p^29*q^212+14365*p^27*q^214+552*p^25*q^216+134*p^30*q^210+9600*p^28*q^ 212+5778*p^26*q^214+84*p^24*q^216+1712*p^29*q^210+15028*p^27*q^212+1026*p^25*q^ 214+30*p^23*q^216+108*p^30*q^208+6458*p^28*q^210+7758*p^26*q^212+84*p^24*q^214+ 2*p^31*q^206+1170*p^29*q^208+18988*p^27*q^210+1470*p^25*q^212+45*p^23*q^214+28* p^30*q^206+6285*p^28*q^208+8276*p^26*q^210+192*p^24*q^212+8*p^31*q^204+580*p^29 *q^206+14864*p^27*q^208+2618*p^25*q^210+8*p^23*q^212+10*p^30*q^204+4828*p^28*q^ 206+12997*p^26*q^208+236*p^24*q^210+16*p^22*q^212+400*p^29*q^204+14036*p^27*q^ 206+2956*p^25*q^208+16*p^23*q^210+58*p^30*q^202+3258*p^28*q^204+15620*p^26*q^ 206+490*p^24*q^208+195*p^29*q^202+12402*p^27*q^204+3930*p^25*q^206+56*p^23*q^ 208+2*p^21*q^210+6*p^30*q^200+2180*p^28*q^202+15862*p^26*q^204+920*p^24*q^206+ 208*p^29*q^200+11777*p^27*q^202+6390*p^25*q^204+32*p^23*q^206+16*p^30*q^198+ 1738*p^28*q^200+17452*p^26*q^202+886*p^24*q^204+8*p^22*q^206+128*p^29*q^198+ 8340*p^27*q^200+8818*p^25*q^202+168*p^23*q^204+908*p^28*q^198+19053*p^26*q^200+ 1324*p^24*q^202+2*p^22*q^204+112*p^29*q^196+6349*p^27*q^198+10700*p^25*q^200+ 248*p^23*q^202+768*p^28*q^196+18020*p^26*q^198+2513*p^24*q^200+16*p^22*q^202+30 *p^29*q^194+5336*p^27*q^196+12867*p^25*q^198+264*p^23*q^200+526*p^28*q^194+ 14929*p^26*q^196+3728*p^24*q^198+26*p^22*q^200+3266*p^27*q^194+16780*p^25*q^196 +332*p^23*q^198+464*p^28*q^192+15778*p^26*q^194+4096*p^24*q^196+76*p^22*q^198+4 *p^29*q^190+2414*p^27*q^192+16994*p^25*q^194+844*p^23*q^196+4*p^30*q^188+56*p^ 28*q^190+11898*p^26*q^192+7370*p^24*q^194+52*p^22*q^196+2400*p^27*q^190+19384*p ^25*q^192+952*p^23*q^194+8*p^21*q^196+82*p^28*q^188+8222*p^26*q^190+8474*p^24*q ^192+104*p^22*q^194+24*p^29*q^186+1100*p^27*q^188+21890*p^25*q^190+1728*p^23*q^ 192+24*p^21*q^194+14*p^28*q^186+7784*p^26*q^188+10710*p^24*q^190+210*p^22*q^192 +12*p^29*q^184+680*p^27*q^186+18476*p^25*q^188+2550*p^23*q^190+8*p^21*q^192+56* p^28*q^184+6186*p^26*q^186+13984*p^24*q^188+184*p^22*q^190+4*p^20*q^192+326*p^ 27*q^184+16588*p^25*q^186+3570*p^23*q^188+24*p^21*q^190+108*p^28*q^182+3972*p^ 26*q^184+18098*p^24*q^186+488*p^22*q^188+212*p^27*q^182+16436*p^25*q^184+4428*p ^23*q^186+8*p^21*q^188+16*p^28*q^180+2750*p^26*q^182+18244*p^24*q^184+826*p^22* q^186+332*p^27*q^180+12810*p^25*q^182+6564*p^23*q^184+46*p^21*q^186+4*p^28*q^ 178+1515*p^26*q^180+20796*p^24*q^182+1330*p^22*q^184+244*p^27*q^178+11056*p^25* q^180+8969*p^23*q^182+96*p^21*q^184+1322*p^26*q^178+20849*p^24*q^180+1356*p^22* q^182+76*p^27*q^176+7444*p^25*q^178+11306*p^23*q^180+332*p^21*q^182+906*p^26*q^ 176+21398*p^24*q^178+2294*p^22*q^180+8*p^20*q^182+16*p^27*q^174+6514*p^25*q^176 +14602*p^23*q^178+246*p^21*q^180+644*p^26*q^174+17928*p^24*q^176+3338*p^22*q^ 178+32*p^20*q^180+2*p^29*q^170+8*p^27*q^172+3892*p^25*q^174+17882*p^23*q^176+ 479*p^21*q^178+362*p^26*q^172+16604*p^24*q^174+4652*p^22*q^176+56*p^20*q^178+8* p^27*q^170+2844*p^25*q^172+19470*p^23*q^174+812*p^21*q^176+17*p^28*q^168+148*p^ 26*q^170+14984*p^24*q^172+6212*p^22*q^174+62*p^20*q^176+8*p^27*q^168+2240*p^25* q^170+19514*p^23*q^172+1038*p^21*q^174+8*p^19*q^176+100*p^26*q^168+10486*p^24*q ^170+9468*p^22*q^172+166*p^20*q^174+51*p^27*q^166+1422*p^25*q^168+23579*p^23*q^ 170+1084*p^21*q^172+2*p^19*q^174+104*p^26*q^166+8372*p^24*q^168+10894*p^22*q^ 170+256*p^20*q^172+24*p^27*q^164+709*p^25*q^166+20954*p^23*q^168+2411*p^21*q^ 170+20*p^19*q^172+73*p^26*q^164+6422*p^24*q^166+14441*p^22*q^168+270*p^20*q^170 +684*p^25*q^164+19401*p^23*q^166+3200*p^21*q^168+28*p^19*q^170+128*p^26*q^162+ 4354*p^24*q^164+17240*p^22*q^166+328*p^20*q^168+328*p^25*q^162+17240*p^23*q^164 +4354*p^21*q^166+128*p^19*q^168+28*p^26*q^160+3200*p^24*q^162+19401*p^22*q^164+ 684*p^20*q^166+270*p^25*q^160+14441*p^23*q^162+6422*p^21*q^164+73*p^19*q^166+20 *p^26*q^158+2411*p^24*q^160+20954*p^22*q^162+709*p^20*q^164+24*p^18*q^166+256*p ^25*q^158+10894*p^23*q^160+8372*p^21*q^162+104*p^19*q^164+2*p^26*q^156+1084*p^ 24*q^158+23579*p^22*q^160+1422*p^20*q^162+51*p^18*q^164+166*p^25*q^156+9468*p^ 23*q^158+10486*p^21*q^160+100*p^19*q^162+8*p^26*q^154+1038*p^24*q^156+19514*p^ 22*q^158+2240*p^20*q^160+8*p^18*q^162+62*p^25*q^154+6212*p^23*q^156+14984*p^21* q^158+148*p^19*q^160+17*p^17*q^162+812*p^24*q^154+19470*p^22*q^156+2844*p^20*q^ 158+8*p^18*q^160+56*p^25*q^152+4652*p^23*q^154+16604*p^21*q^156+362*p^19*q^158+ 479*p^24*q^152+17882*p^22*q^154+3892*p^20*q^156+8*p^18*q^158+2*p^16*q^160+32*p^ 25*q^150+3338*p^23*q^152+17928*p^21*q^154+644*p^19*q^156+246*p^24*q^150+14602*p ^22*q^152+6514*p^20*q^154+16*p^18*q^156+8*p^25*q^148+2294*p^23*q^150+21398*p^21 *q^152+906*p^19*q^154+332*p^24*q^148+11306*p^22*q^150+7444*p^20*q^152+76*p^18*q ^154+1356*p^23*q^148+20849*p^21*q^150+1322*p^19*q^152+96*p^24*q^146+8969*p^22*q ^148+11056*p^20*q^150+244*p^18*q^152+1330*p^23*q^146+20796*p^21*q^148+1515*p^19 *q^150+4*p^17*q^152+46*p^24*q^144+6564*p^22*q^146+12810*p^20*q^148+332*p^18*q^ 150+826*p^23*q^144+18244*p^21*q^146+2750*p^19*q^148+16*p^17*q^150+8*p^24*q^142+ 4428*p^22*q^144+16436*p^20*q^146+212*p^18*q^148+488*p^23*q^142+18098*p^21*q^144 +3972*p^19*q^146+108*p^17*q^148+24*p^24*q^140+3570*p^22*q^142+16588*p^20*q^144+ 326*p^18*q^146+4*p^25*q^138+184*p^23*q^140+13984*p^21*q^142+6186*p^19*q^144+56* p^17*q^146+8*p^24*q^138+2550*p^22*q^140+18476*p^20*q^142+680*p^18*q^144+12*p^16 *q^146+210*p^23*q^138+10710*p^21*q^140+7784*p^19*q^142+14*p^17*q^144+24*p^24*q^ 136+1728*p^22*q^138+21890*p^20*q^140+1100*p^18*q^142+24*p^16*q^144+104*p^23*q^ 136+8474*p^21*q^138+8222*p^19*q^140+82*p^17*q^142+8*p^24*q^134+952*p^22*q^136+ 19384*p^20*q^138+2400*p^18*q^140+52*p^23*q^134+7370*p^21*q^136+11898*p^19*q^138 +56*p^17*q^140+4*p^15*q^142+844*p^22*q^134+16994*p^20*q^136+2414*p^18*q^138+4*p ^16*q^140+76*p^23*q^132+4096*p^21*q^134+15778*p^19*q^136+464*p^17*q^138+332*p^ 22*q^132+16780*p^20*q^134+3266*p^18*q^136+26*p^23*q^130+3728*p^21*q^132+14929*p ^19*q^134+526*p^17*q^136+264*p^22*q^130+12867*p^20*q^132+5336*p^18*q^134+30*p^ 16*q^136+16*p^23*q^128+2513*p^21*q^130+18020*p^19*q^132+768*p^17*q^134+248*p^22 *q^128+10700*p^20*q^130+6349*p^18*q^132+112*p^16*q^134+2*p^23*q^126+1324*p^21*q ^128+19053*p^19*q^130+908*p^17*q^132+168*p^22*q^126+8818*p^20*q^128+8340*p^18*q ^130+128*p^16*q^132+8*p^23*q^124+886*p^21*q^126+17452*p^19*q^128+1738*p^17*q^ 130+16*p^15*q^132+32*p^22*q^124+6390*p^20*q^126+11777*p^18*q^128+208*p^16*q^130 +920*p^21*q^124+15862*p^19*q^126+2180*p^17*q^128+6*p^15*q^130+2*p^24*q^120+56*p ^22*q^122+3930*p^20*q^124+12402*p^18*q^126+195*p^16*q^128+490*p^21*q^122+15620* p^19*q^124+3258*p^17*q^126+58*p^15*q^128+16*p^22*q^120+2956*p^20*q^122+14036*p^ 18*q^124+400*p^16*q^126+16*p^23*q^118+236*p^21*q^120+12997*p^19*q^122+4828*p^17 *q^124+10*p^15*q^126+8*p^22*q^118+2618*p^20*q^120+14864*p^18*q^122+580*p^16*q^ 124+8*p^14*q^126+192*p^21*q^118+8276*p^19*q^120+6285*p^17*q^122+28*p^15*q^124+ 45*p^22*q^116+1470*p^20*q^118+18988*p^18*q^120+1170*p^16*q^122+2*p^14*q^124+84* p^21*q^116+7758*p^19*q^118+6458*p^17*q^120+108*p^15*q^122+30*p^22*q^114+1026*p^ 20*q^116+15028*p^18*q^118+1712*p^16*q^120+84*p^21*q^114+5778*p^19*q^116+9600*p^ 17*q^118+134*p^15*q^120+552*p^20*q^114+14365*p^18*q^116+2272*p^16*q^118+16*p^14 *q^120+166*p^21*q^112+4482*p^19*q^114+11758*p^17*q^116+252*p^15*q^118+392*p^20* q^112+12172*p^18*q^114+2571*p^16*q^116+28*p^21*q^110+2588*p^19*q^112+12802*p^17 *q^114+660*p^15*q^116+4*p^22*q^108+384*p^20*q^110+11704*p^18*q^112+3588*p^16*q^ 114+12*p^14*q^116+20*p^21*q^108+1970*p^19*q^110+13398*p^17*q^112+705*p^15*q^114 +294*p^20*q^108+8424*p^18*q^110+5438*p^16*q^112+84*p^14*q^114+24*p^21*q^106+ 1264*p^19*q^108+14366*p^17*q^110+846*p^15*q^112+156*p^20*q^106+6224*p^18*q^108+ 6600*p^16*q^110+212*p^14*q^112+8*p^21*q^104+1116*p^19*q^106+14052*p^17*q^108+ 1348*p^15*q^110+4*p^13*q^112+92*p^20*q^104+5278*p^18*q^106+7596*p^16*q^108+116* p^14*q^110+660*p^19*q^104+11514*p^17*q^106+1958*p^15*q^108+28*p^13*q^110+72*p^ 20*q^102+3396*p^18*q^104+10552*p^16*q^106+358*p^14*q^108+478*p^19*q^102+11904*p ^17*q^104+2004*p^15*q^106+4*p^13*q^108+28*p^20*q^100+2406*p^18*q^102+10052*p^16 *q^104+576*p^14*q^106+2*p^21*q^98+292*p^19*q^100+8755*p^17*q^102+3706*p^15*q^ 104+52*p^13*q^106+8*p^20*q^98+2011*p^18*q^100+11810*p^16*q^102+566*p^14*q^104+ 260*p^19*q^98+7108*p^17*q^100+3984*p^15*q^102+156*p^13*q^104+12*p^20*q^96+1168* p^18*q^98+12096*p^16*q^100+676*p^14*q^102+100*p^19*q^96+5596*p^17*q^98+5742*p^ 15*q^100+222*p^13*q^102+4*p^20*q^94+868*p^18*q^96+11558*p^16*q^98+954*p^14*q^ 100+24*p^12*q^102+50*p^19*q^94+4472*p^17*q^96+6757*p^15*q^98+208*p^13*q^100+650 *p^18*q^94+9708*p^16*q^96+1464*p^14*q^98+28*p^12*q^100+2*p^21*q^90+36*p^19*q^92 +2462*p^17*q^94+8436*p^15*q^96+149*p^13*q^98+328*p^18*q^92+9806*p^16*q^94+2126* p^14*q^96+134*p^12*q^98+18*p^19*q^90+2312*p^17*q^92+8530*p^15*q^94+208*p^13*q^ 96+16*p^20*q^88+216*p^18*q^90+7122*p^16*q^92+2936*p^14*q^94+54*p^12*q^96+4*p^19 *q^88+1462*p^17*q^90+9698*p^15*q^92+474*p^13*q^94+28*p^11*q^96+152*p^18*q^88+ 5566*p^16*q^90+3822*p^14*q^92+16*p^12*q^94+44*p^19*q^86+1058*p^17*q^88+10338*p^ 15*q^90+548*p^13*q^92+42*p^11*q^94+56*p^18*q^86+4373*p^16*q^88+4046*p^14*q^90+ 66*p^12*q^92+24*p^19*q^84+651*p^17*q^86+9108*p^15*q^88+1218*p^13*q^90+60*p^18*q ^84+3224*p^16*q^86+6188*p^14*q^88+24*p^12*q^90+16*p^10*q^92+448*p^17*q^84+8186* p^15*q^86+1266*p^13*q^88+4*p^11*q^90+p^20*q^80+124*p^18*q^82+2336*p^16*q^84+ 6390*p^14*q^86+220*p^12*q^88+174*p^17*q^82+6320*p^15*q^84+1808*p^13*q^86+2*p^9* q^90+20*p^18*q^80+1832*p^16*q^82+8026*p^14*q^84+428*p^12*q^86+8*p^19*q^78+244*p ^17*q^80+5977*p^15*q^82+1764*p^13*q^84+8*p^11*q^86+18*p^18*q^78+998*p^16*q^80+ 7510*p^14*q^82+532*p^12*q^84+166*p^17*q^78+4476*p^15*q^80+3135*p^13*q^82+76*p^ 11*q^84+22*p^18*q^76+588*p^16*q^78+7879*p^14*q^80+408*p^12*q^82+134*p^17*q^76+ 3424*p^15*q^78+4272*p^13*q^80+116*p^11*q^82+12*p^18*q^74+488*p^16*q^76+6520*p^ 14*q^78+548*p^12*q^80+4*p^10*q^82+49*p^17*q^74+2172*p^15*q^76+4934*p^13*q^78+ 244*p^11*q^80+468*p^16*q^74+6280*p^14*q^76+984*p^12*q^78+4*p^10*q^80+62*p^17*q^ 72+1538*p^15*q^74+5562*p^13*q^76+66*p^11*q^78+296*p^16*q^72+5528*p^14*q^74+1418 *p^12*q^76+72*p^10*q^78+16*p^17*q^70+984*p^15*q^72+5388*p^13*q^74+138*p^11*q^76 +124*p^16*q^70+4143*p^14*q^72+2446*p^12*q^74+60*p^10*q^76+8*p^17*q^68+1173*p^15 *q^70+5872*p^13*q^72+146*p^11*q^74+4*p^9*q^76+136*p^16*q^68+2376*p^14*q^70+2596 *p^12*q^72+8*p^10*q^74+446*p^15*q^68+6691*p^13*q^70+550*p^11*q^72+28*p^9*q^74+ 60*p^16*q^66+2513*p^14*q^68+2700*p^12*q^70+12*p^10*q^72+384*p^15*q^66+4752*p^13 *q^68+798*p^11*q^70+12*p^16*q^64+1740*p^14*q^66+4145*p^12*q^68+40*p^10*q^70+4*p ^8*q^72+282*p^15*q^64+3938*p^13*q^66+880*p^11*q^68+1075*p^14*q^64+4828*p^12*q^ 66+146*p^10*q^68+142*p^15*q^62+3948*p^13*q^64+971*p^11*q^66+6*p^16*q^60+822*p^ 14*q^62+3962*p^12*q^64+208*p^10*q^66+20*p^15*q^60+2488*p^13*q^62+2044*p^11*q^64 +12*p^9*q^66+546*p^14*q^60+4894*p^12*q^62+310*p^10*q^64+50*p^15*q^58+2086*p^13* q^60+1856*p^11*q^62+14*p^9*q^64+288*p^14*q^58+3736*p^12*q^60+376*p^10*q^62+1395 *p^13*q^58+3030*p^11*q^60+100*p^9*q^62+170*p^14*q^56+3798*p^12*q^58+360*p^10*q^ 60+1142*p^13*q^56+3007*p^11*q^58+100*p^9*q^60+72*p^14*q^54+2581*p^12*q^56+772*p ^10*q^58+8*p^8*q^60+544*p^13*q^54+3506*p^11*q^56+42*p^9*q^58+8*p^14*q^52+2388*p ^12*q^54+1308*p^10*q^56+40*p^8*q^58+450*p^13*q^52+3159*p^11*q^54+60*p^9*q^56+6* p^14*q^50+1718*p^12*q^52+1420*p^10*q^54+88*p^13*q^50+2802*p^11*q^52+247*p^9*q^ 54+6*p^7*q^56+1146*p^12*q^50+2142*p^10*q^52+88*p^13*q^48+3200*p^11*q^50+284*p^9 *q^52+628*p^12*q^48+1672*p^10*q^50+20*p^8*q^52+4*p^13*q^46+2104*p^11*q^48+773*p ^9*q^50+430*p^12*q^46+2608*p^10*q^48+24*p^8*q^50+1558*p^11*q^46+566*p^9*q^48+ 128*p^12*q^44+2622*p^10*q^46+162*p^8*q^48+3*p^13*q^42+1204*p^11*q^44+894*p^9*q^ 46+8*p^12*q^42+2224*p^10*q^44+152*p^8*q^46+848*p^11*q^42+1400*p^9*q^44+12*p^7*q ^46+24*p^12*q^40+1636*p^10*q^42+122*p^8*q^44+128*p^11*q^40+1702*p^9*q^42+52*p^7 *q^44+2007*p^10*q^40+288*p^8*q^42+125*p^11*q^38+1524*p^9*q^40+3*p^12*q^36+864*p ^10*q^38+594*p^8*q^40+8*p^6*q^42+24*p^11*q^36+1797*p^9*q^38+28*p^7*q^40+480*p^ 10*q^36+830*p^8*q^38+21*p^11*q^34+1700*p^9*q^36+60*p^7*q^38+200*p^10*q^34+757*p ^8*q^36+1161*p^9*q^34+216*p^7*q^36+63*p^10*q^32+1220*p^8*q^34+796*p^9*q^32+219* p^7*q^34+36*p^10*q^30+1194*p^8*q^32+16*p^6*q^34+202*p^9*q^30+416*p^7*q^32+1308* p^8*q^30+64*p^6*q^32+218*p^9*q^28+406*p^7*q^30+636*p^8*q^28+48*p^6*q^30+10*p^9* q^26+906*p^7*q^28+10*p^5*q^30+532*p^8*q^26+64*p^6*q^28+4*p^9*q^24+746*p^7*q^26+ 174*p^8*q^24+240*p^6*q^26+674*p^7*q^24+24*p^8*q^22+380*p^6*q^24+582*p^7*q^22+20 *p^5*q^24+6*p^8*q^20+324*p^6*q^22+112*p^7*q^20+110*p^5*q^22+647*p^6*q^20+54*p^7 *q^18+42*p^5*q^20+320*p^6*q^18+12*p^4*q^20+245*p^5*q^18+167*p^6*q^16+300*p^5*q^ 16+20*p^6*q^14+31*p^4*q^16+240*p^5*q^14+100*p^4*q^14+100*p^5*q^12+120*p^4*q^12+ p^5*q^10+14*p^3*q^12+162*p^4*q^10+14*p^3*q^10+15*p^4*q^8+92*p^3*q^8+35*p^3*q^6+ 16*p^2*q^6+28*p^2*q^4+9*p*q^2+1 J[11](p, q), equals p^55*q^440+10*p^54*q^438+36*p^53*q^436+18*p^53*q^434+56*p^52*q^434+121*p^52*q^ 432+35*p^51*q^432+16*p^52*q^430+266*p^51*q^430+16*p^52*q^428+6*p^50*q^430+168*p ^51*q^428+225*p^50*q^428+130*p^51*q^426+444*p^50*q^426+36*p^51*q^424+70*p^49*q^ 426+468*p^50*q^424+421*p^49*q^424+346*p^50*q^422+5*p^48*q^424+14*p^51*q^420+720 *p^49*q^422+50*p^50*q^420+180*p^48*q^422+1134*p^49*q^420+142*p^50*q^418+408*p^ 48*q^420+514*p^49*q^418+30*p^47*q^420+24*p^50*q^416+1450*p^48*q^418+570*p^49*q^ 416+132*p^47*q^418+1446*p^48*q^416+332*p^49*q^414+640*p^47*q^416+1424*p^48*q^ 414+34*p^46*q^416+78*p^49*q^412+1624*p^47*q^414+12*p^50*q^410+1542*p^48*q^412+ 92*p^46*q^414+58*p^49*q^410+1804*p^47*q^412+4*p^45*q^414+626*p^48*q^410+774*p^ 46*q^412+88*p^49*q^408+3050*p^47*q^410+581*p^48*q^408+1132*p^46*q^410+20*p^49*q ^406+2376*p^47*q^408+174*p^45*q^410+330*p^48*q^406+2586*p^46*q^408+2228*p^47*q^ 406+384*p^45*q^408+302*p^48*q^404+3518*p^46*q^406+12*p^44*q^408+1307*p^47*q^404 +1114*p^45*q^406+76*p^48*q^402+4232*p^46*q^404+96*p^44*q^406+1344*p^47*q^402+ 2120*p^45*q^404+36*p^48*q^400+4104*p^46*q^402+234*p^44*q^404+10*p^49*q^398+868* p^47*q^400+3462*p^45*q^402+12*p^43*q^404+3182*p^46*q^400+818*p^44*q^402+416*p^ 47*q^398+5911*p^45*q^400+12*p^43*q^402+74*p^48*q^396+3302*p^46*q^398+1131*p^44* q^400+160*p^47*q^396+5304*p^45*q^398+256*p^43*q^400+16*p^48*q^394+2334*p^46*q^ 396+3506*p^44*q^398+244*p^47*q^394+5938*p^45*q^396+230*p^43*q^398+1408*p^46*q^ 394+4764*p^44*q^396+36*p^42*q^398+236*p^47*q^392+6378*p^45*q^394+842*p^43*q^396 +897*p^46*q^392+6448*p^44*q^394+81*p^42*q^396+34*p^47*q^390+5272*p^45*q^392+ 2162*p^43*q^394+1254*p^46*q^390+7636*p^44*q^392+72*p^42*q^394+28*p^47*q^388+ 3230*p^45*q^390+3494*p^43*q^392+24*p^41*q^394+436*p^46*q^388+9934*p^44*q^390+ 541*p^42*q^392+3894*p^45*q^388+5390*p^43*q^390+8*p^48*q^384+370*p^46*q^386+7737 *p^44*q^388+956*p^42*q^390+3*p^40*q^392+2566*p^45*q^386+8088*p^43*q^388+70*p^41 *q^390+90*p^46*q^384+8018*p^44*q^386+2244*p^42*q^388+60*p^47*q^382+2150*p^45*q^ 384+10446*p^43*q^386+153*p^41*q^388+60*p^46*q^382+7560*p^44*q^384+3376*p^42*q^ 386+12*p^47*q^380+1202*p^45*q^382+10146*p^43*q^384+586*p^41*q^386+176*p^46*q^ 380+6476*p^44*q^382+6400*p^42*q^384+24*p^40*q^386+586*p^45*q^380+12594*p^43*q^ 382+900*p^41*q^384+156*p^46*q^378+5684*p^44*q^380+8456*p^42*q^382+76*p^40*q^384 +634*p^45*q^378+11016*p^43*q^380+2000*p^41*q^382+3*p^39*q^384+24*p^46*q^376+ 3322*p^44*q^378+11322*p^42*q^380+264*p^40*q^382+596*p^45*q^376+13246*p^43*q^378 +3334*p^41*q^380+20*p^46*q^374+3450*p^44*q^376+11830*p^42*q^378+256*p^40*q^380+ 330*p^45*q^374+9481*p^43*q^376+6642*p^41*q^378+62*p^39*q^380+1956*p^44*q^374+ 15628*p^42*q^376+744*p^40*q^378+244*p^45*q^372+10376*p^43*q^374+7825*p^41*q^376 +12*p^39*q^378+1622*p^44*q^372+15440*p^42*q^374+2056*p^40*q^376+6*p^38*q^378+6* p^47*q^368+74*p^45*q^370+8144*p^43*q^372+11036*p^41*q^374+80*p^39*q^376+1408*p^ 44*q^370+15529*p^42*q^372+3618*p^40*q^374+24*p^45*q^368+5826*p^43*q^370+13939*p ^41*q^372+326*p^39*q^374+46*p^46*q^366+967*p^44*q^368+18560*p^42*q^370+4204*p^ 40*q^372+4*p^38*q^374+16*p^45*q^366+4984*p^43*q^368+14368*p^41*q^370+1064*p^39* q^372+8*p^46*q^364+272*p^44*q^366+15108*p^42*q^368+9092*p^40*q^370+32*p^38*q^ 372+118*p^45*q^364+4738*p^43*q^366+18730*p^41*q^368+1060*p^39*q^370+286*p^44*q^ 364+13130*p^42*q^366+8646*p^40*q^368+140*p^38*q^370+120*p^45*q^362+2638*p^43*q^ 364+21954*p^41*q^366+3187*p^39*q^368+164*p^44*q^362+12646*p^42*q^364+12198*p^40 *q^366+304*p^38*q^368+14*p^45*q^360+1976*p^43*q^362+21818*p^41*q^364+4514*p^39* q^366+8*p^37*q^368+450*p^44*q^360+11034*p^42*q^362+14482*p^40*q^364+522*p^38*q^ 366+12*p^45*q^358+1046*p^43*q^360+21524*p^41*q^362+5838*p^39*q^364+52*p^37*q^ 366+242*p^44*q^358+8688*p^42*q^360+20570*p^40*q^362+1434*p^38*q^364+954*p^43*q^ 358+22608*p^41*q^360+7344*p^39*q^362+80*p^37*q^364+164*p^44*q^356+6554*p^42*q^ 358+21591*p^40*q^360+2106*p^38*q^362+1070*p^43*q^356+20632*p^41*q^358+9420*p^39 *q^360+266*p^37*q^362+20*p^44*q^354+3718*p^42*q^356+26936*p^40*q^358+3752*p^38* q^360+24*p^36*q^362+928*p^43*q^354+20208*p^41*q^356+14366*p^39*q^358+276*p^37*q ^360+4*p^46*q^350+12*p^44*q^352+3886*p^42*q^354+25647*p^40*q^356+3420*p^38*q^ 358+22*p^36*q^360+464*p^43*q^352+14872*p^41*q^354+17309*p^39*q^356+1466*p^37*q^ 358+3*p^35*q^360+8*p^44*q^350+2907*p^42*q^352+31858*p^40*q^354+5548*p^38*q^356+ 16*p^36*q^358+32*p^45*q^348+134*p^43*q^350+13944*p^41*q^352+20792*p^39*q^354+ 1360*p^37*q^356+2620*p^42*q^350+29644*p^40*q^352+8082*p^38*q^354+240*p^36*q^356 +4*p^45*q^346+146*p^43*q^348+9908*p^41*q^350+25160*p^39*q^352+2022*p^37*q^354+ 84*p^44*q^346+1324*p^42*q^348+30138*p^40*q^350+10412*p^38*q^352+476*p^36*q^354+ 34*p^43*q^346+8694*p^41*q^348+32194*p^39*q^350+2944*p^37*q^352+8*p^35*q^354+84* p^44*q^344+1198*p^42*q^346+26898*p^40*q^348+12722*p^38*q^350+504*p^36*q^352+112 *p^43*q^344+6564*p^41*q^346+31878*p^39*q^348+3968*p^37*q^350+132*p^35*q^352+4*p ^44*q^342+468*p^42*q^344+24024*p^40*q^346+19316*p^38*q^348+1324*p^36*q^350+332* p^43*q^342+5436*p^41*q^344+40470*p^39*q^346+4244*p^37*q^348+24*p^35*q^350+4*p^ 44*q^340+380*p^42*q^342+20649*p^40*q^344+21586*p^38*q^346+1330*p^36*q^348+14*p^ 34*q^350+128*p^43*q^340+3552*p^41*q^342+37031*p^39*q^344+7692*p^37*q^346+358*p^ 35*q^348+498*p^42*q^340+17222*p^40*q^342+28869*p^38*q^344+1622*p^36*q^346+80*p^ 43*q^338+2452*p^41*q^340+40738*p^39*q^342+10100*p^37*q^344+550*p^35*q^346+664*p ^42*q^338+14566*p^40*q^340+33772*p^38*q^342+1696*p^36*q^344+34*p^34*q^346+8*p^ 43*q^336+1622*p^41*q^338+36856*p^39*q^340+13926*p^37*q^342+720*p^35*q^344+486*p ^42*q^336+10754*p^40*q^338+38211*p^38*q^340+3504*p^36*q^342+148*p^34*q^344+1454 *p^41*q^336+36082*p^39*q^338+17731*p^37*q^340+530*p^35*q^342+244*p^42*q^334+ 9352*p^40*q^336+45174*p^38*q^338+4649*p^36*q^340+216*p^34*q^342+2*p^45*q^330+4* p^43*q^332+1662*p^41*q^334+28486*p^39*q^336+21954*p^37*q^338+696*p^35*q^340+20* p^33*q^342+24*p^42*q^332+5204*p^40*q^334+49390*p^38*q^336+7706*p^36*q^338+402*p ^34*q^340+1338*p^41*q^332+30750*p^39*q^334+27099*p^37*q^336+1012*p^35*q^338+20* p^33*q^340+18*p^44*q^328+92*p^42*q^330+5054*p^40*q^332+46948*p^38*q^334+8612*p^ 36*q^336+104*p^34*q^338+556*p^41*q^330+20762*p^39*q^332+37900*p^37*q^334+2508*p ^35*q^336+180*p^33*q^338+16*p^42*q^328+4054*p^40*q^330+50672*p^38*q^332+12204*p ^36*q^334+120*p^34*q^336+56*p^43*q^326+608*p^41*q^328+18660*p^39*q^330+39744*p^ 37*q^332+2992*p^35*q^334+80*p^33*q^336+3086*p^40*q^328+48934*p^38*q^330+15464*p ^36*q^332+508*p^34*q^334+28*p^32*q^336+32*p^43*q^324+304*p^41*q^326+14554*p^39* q^328+49912*p^37*q^330+4359*p^35*q^332+70*p^42*q^324+2378*p^40*q^326+43758*p^38 *q^328+21394*p^36*q^330+834*p^34*q^332+58*p^32*q^334+56*p^41*q^324+10788*p^39*q ^326+55502*p^37*q^328+5944*p^35*q^330+44*p^33*q^332+188*p^42*q^322+2256*p^40*q^ 324+42554*p^38*q^326+24666*p^36*q^328+996*p^34*q^330+50*p^41*q^322+8090*p^39*q^ 324+56846*p^37*q^326+7580*p^35*q^328+188*p^33*q^330+18*p^31*q^332+28*p^42*q^320 +864*p^40*q^322+34170*p^38*q^324+38266*p^36*q^326+2453*p^34*q^328+384*p^41*q^ 320+8048*p^39*q^322+62013*p^37*q^324+8300*p^35*q^326+92*p^33*q^328+28*p^42*q^ 318+538*p^40*q^320+29290*p^38*q^322+38934*p^36*q^324+2822*p^34*q^326+20*p^32*q^ 328+2*p^30*q^330+250*p^41*q^318+5558*p^39*q^320+62646*p^37*q^322+14087*p^35*q^ 324+626*p^33*q^326+536*p^40*q^318+21188*p^38*q^320+52320*p^36*q^322+2552*p^34*q ^324+208*p^41*q^316+4086*p^39*q^318+65944*p^37*q^320+18604*p^35*q^322+1012*p^33 *q^324+688*p^40*q^316+20600*p^38*q^318+51864*p^36*q^320+3390*p^34*q^322+59*p^32 *q^324+76*p^41*q^314+2220*p^39*q^316+53720*p^37*q^318+25676*p^35*q^320+1248*p^ 33*q^322+680*p^40*q^314+15986*p^38*q^316+71486*p^36*q^318+5562*p^34*q^320+252*p ^32*q^322+1886*p^39*q^314+48802*p^37*q^316+29890*p^35*q^318+882*p^33*q^320+619* p^40*q^312+12318*p^38*q^314+72284*p^36*q^316+8056*p^34*q^318+366*p^32*q^320+28* p^41*q^310+1640*p^39*q^312+43930*p^37*q^314+35030*p^35*q^316+1172*p^33*q^318+30 *p^31*q^320+100*p^40*q^310+7656*p^38*q^312+76582*p^36*q^314+13146*p^34*q^316+ 642*p^32*q^318+1986*p^39*q^310+40602*p^37*q^312+50340*p^35*q^314+1324*p^33*q^ 316+32*p^31*q^318+286*p^40*q^308+7114*p^38*q^310+71792*p^36*q^312+13636*p^34*q^ 314+200*p^32*q^316+996*p^39*q^308+29800*p^37*q^310+58658*p^35*q^312+3998*p^33*q ^314+264*p^31*q^316+48*p^40*q^306+5006*p^38*q^308+78574*p^36*q^310+18718*p^34*q ^312+128*p^32*q^314+1132*p^39*q^306+24510*p^37*q^308+68648*p^35*q^310+4434*p^33 *q^312+144*p^31*q^314+4038*p^38*q^306+69173*p^36*q^308+26360*p^34*q^310+662*p^ 32*q^312+36*p^30*q^314+688*p^39*q^304+20968*p^37*q^306+72952*p^35*q^308+6470*p^ 33*q^310+3314*p^38*q^304+61514*p^36*q^306+34530*p^34*q^308+1106*p^32*q^310+86*p ^30*q^312+150*p^39*q^302+14204*p^37*q^304+90698*p^35*q^306+7948*p^33*q^308+44*p ^31*q^310+24*p^40*q^300+3624*p^38*q^302+58930*p^36*q^304+39370*p^34*q^306+1422* p^32*q^308+124*p^39*q^300+10796*p^37*q^302+82394*p^35*q^304+12312*p^33*q^306+ 220*p^31*q^308+22*p^29*q^310+8*p^40*q^298+1280*p^38*q^300+49374*p^36*q^302+ 56807*p^34*q^304+2716*p^32*q^306+152*p^39*q^298+11246*p^37*q^300+93878*p^35*q^ 302+12907*p^33*q^304+100*p^31*q^306+4*p^40*q^296+1300*p^38*q^298+35560*p^36*q^ 300+63830*p^34*q^302+3530*p^32*q^304+20*p^30*q^306+2*p^28*q^308+88*p^39*q^296+ 7386*p^37*q^298+90740*p^35*q^300+21360*p^33*q^302+660*p^31*q^304+575*p^38*q^296 +32938*p^36*q^298+73002*p^34*q^300+4166*p^32*q^302+56*p^39*q^294+5836*p^37*q^ 296+88122*p^35*q^298+27288*p^33*q^300+890*p^31*q^302+668*p^38*q^294+26897*p^36* q^296+86034*p^34*q^298+4632*p^32*q^300+60*p^30*q^302+12*p^39*q^292+3264*p^37*q^ 294+73582*p^35*q^296+36824*p^33*q^298+1432*p^31*q^300+460*p^38*q^292+21110*p^36 *q^294+97981*p^34*q^296+8680*p^32*q^298+160*p^30*q^300+2830*p^37*q^292+73194*p^ 35*q^294+42926*p^33*q^296+1122*p^31*q^298+216*p^38*q^290+16329*p^36*q^292+ 103490*p^34*q^294+10730*p^32*q^296+304*p^30*q^298+16*p^39*q^288+2500*p^37*q^290 +56526*p^35*q^292+55188*p^33*q^294+1756*p^31*q^296+16*p^29*q^298+36*p^38*q^288+ 10574*p^36*q^290+105753*p^34*q^292+17754*p^32*q^294+568*p^30*q^296+1648*p^37*q^ 288+55924*p^35*q^290+66778*p^33*q^292+2086*p^31*q^294+20*p^29*q^296+124*p^38*q^ 286+10020*p^36*q^288+104630*p^34*q^290+18570*p^32*q^292+222*p^30*q^294+740*p^37 *q^286+37213*p^35*q^288+85704*p^33*q^290+5250*p^31*q^292+170*p^29*q^294+28*p^38 *q^284+7014*p^36*q^286+104314*p^34*q^288+26482*p^32*q^290+246*p^30*q^292+2*p^39 *q^282+558*p^37*q^284+35894*p^35*q^286+91418*p^33*q^288+5640*p^31*q^290+74*p^29 *q^292+5064*p^36*q^284+94944*p^34*q^286+34228*p^32*q^288+898*p^30*q^290+16*p^28 *q^292+8*p^39*q^280+460*p^37*q^282+25216*p^35*q^284+108196*p^33*q^286+7854*p^31 *q^288+12*p^38*q^280+3302*p^36*q^282+82374*p^34*q^284+46776*p^32*q^286+1574*p^ 30*q^288+30*p^28*q^290+104*p^37*q^280+20306*p^35*q^282+115416*p^33*q^284+11066* p^31*q^286+64*p^29*q^288+66*p^38*q^278+3046*p^36*q^280+80162*p^34*q^282+52598*p ^32*q^284+1634*p^30*q^286+94*p^37*q^278+14572*p^35*q^280+116120*p^33*q^282+ 14308*p^31*q^284+348*p^29*q^286+4*p^27*q^288+6*p^38*q^276+1168*p^36*q^278+61144 *p^34*q^280+78492*p^32*q^282+3688*p^30*q^284+210*p^37*q^276+13306*p^35*q^278+ 124605*p^33*q^280+15680*p^31*q^282+124*p^29*q^284+16*p^38*q^274+1082*p^36*q^276 +50326*p^34*q^278+78848*p^32*q^280+4194*p^30*q^282+32*p^28*q^284+130*p^37*q^274 +7950*p^35*q^276+122814*p^33*q^278+27068*p^31*q^280+866*p^29*q^282+484*p^36*q^ 274+40373*p^34*q^276+102862*p^32*q^278+4178*p^30*q^280+124*p^37*q^272+6748*p^35 *q^274+112003*p^33*q^276+35312*p^31*q^278+1259*p^29*q^280+720*p^36*q^272+35540* p^34*q^274+107519*p^32*q^276+5344*p^30*q^278+82*p^28*q^280+30*p^37*q^270+3676*p ^35*q^272+99992*p^33*q^274+44284*p^31*q^276+1646*p^29*q^278+544*p^36*q^270+ 25478*p^34*q^272+131262*p^32*q^274+9380*p^30*q^276+296*p^28*q^278+2438*p^35*q^ 270+90026*p^33*q^272+56362*p^31*q^274+1114*p^29*q^276+442*p^36*q^268+21482*p^34 *q^270+130106*p^32*q^272+12980*p^30*q^274+400*p^28*q^276+4*p^37*q^266+2510*p^35 *q^268+74272*p^33*q^270+66043*p^31*q^272+1572*p^29*q^274+36*p^27*q^276+48*p^36* q^266+11522*p^34*q^268+145668*p^32*q^270+19770*p^30*q^272+698*p^28*q^274+2004*p ^35*q^266+69142*p^33*q^268+86938*p^31*q^270+1912*p^29*q^272+32*p^27*q^274+4*p^ 38*q^262+100*p^36*q^264+12030*p^34*q^266+122303*p^32*q^268+23060*p^30*q^270+172 *p^28*q^272+1036*p^35*q^264+49260*p^33*q^266+104883*p^31*q^268+5392*p^29*q^270+ 268*p^27*q^272+12*p^36*q^262+7328*p^34*q^264+135682*p^32*q^266+29304*p^30*q^268 +138*p^28*q^270+28*p^37*q^260+776*p^35*q^262+42142*p^33*q^264+118468*p^31*q^266 +5964*p^29*q^268+90*p^27*q^270+5934*p^34*q^262+117481*p^32*q^264+42432*p^30*q^ 266+780*p^28*q^268+38*p^26*q^270+12*p^37*q^258+376*p^35*q^260+33784*p^33*q^262+ 125720*p^31*q^264+8706*p^29*q^266+60*p^36*q^258+4140*p^34*q^260+105584*p^32*q^ 262+54822*p^30*q^264+1268*p^28*q^266+60*p^26*q^268+84*p^35*q^258+22524*p^33*q^ 260+151580*p^31*q^262+10754*p^29*q^264+40*p^27*q^266+132*p^36*q^256+3650*p^34*q ^258+95427*p^32*q^260+63284*p^30*q^262+1602*p^28*q^264+96*p^35*q^256+17736*p^33 *q^258+135298*p^31*q^260+17134*p^29*q^262+228*p^27*q^264+18*p^25*q^266+12*p^36* q^254+1170*p^34*q^256+78982*p^32*q^258+89722*p^30*q^260+3466*p^28*q^262+380*p^ 35*q^254+16182*p^33*q^256+156726*p^31*q^258+17228*p^29*q^260+84*p^27*q^262+4*p^ 36*q^252+924*p^34*q^254+59946*p^32*q^256+98722*p^30*q^258+4000*p^28*q^260+20*p^ 26*q^262+2*p^24*q^264+262*p^35*q^252+10046*p^33*q^254+140390*p^31*q^256+30176*p ^29*q^258+704*p^27*q^260+582*p^34*q^252+51020*p^32*q^254+116426*p^30*q^256+4096 *p^28*q^258+82*p^35*q^250+6924*p^33*q^252+144830*p^31*q^254+38056*p^29*q^256+ 1108*p^27*q^258+1102*p^34*q^250+41042*p^32*q^252+130072*p^30*q^254+5533*p^28*q^ 256+40*p^26*q^258+32*p^35*q^248+3882*p^33*q^250+116666*p^31*q^252+53822*p^29*q^ 254+1176*p^27*q^256+674*p^34*q^248+32912*p^32*q^250+144248*p^30*q^252+9870*p^28 *q^254+220*p^26*q^256+2962*p^33*q^248+109230*p^31*q^250+60254*p^29*q^252+866*p^ 27*q^254+492*p^34*q^246+24308*p^32*q^248+165524*p^30*q^250+13390*p^28*q^252+264 *p^26*q^254+2*p^37*q^242+8*p^35*q^244+2970*p^33*q^246+87206*p^31*q^248+73224*p^ 29*q^250+1544*p^27*q^252+20*p^25*q^254+68*p^34*q^244+14114*p^32*q^246+158659*p^ 30*q^248+23034*p^28*q^250+368*p^26*q^252+2368*p^33*q^244+86200*p^31*q^246+94078 *p^29*q^248+1834*p^27*q^250+20*p^25*q^252+19*p^36*q^240+112*p^34*q^242+13208*p^ 32*q^244+152040*p^30*q^246+22555*p^28*q^248+156*p^26*q^250+1306*p^33*q^242+ 56554*p^31*q^244+123382*p^29*q^246+5870*p^27*q^248+106*p^25*q^250+28*p^34*q^240 +8372*p^32*q^242+150910*p^30*q^244+32040*p^28*q^246+136*p^26*q^248+66*p^35*q^ 238+784*p^33*q^240+53366*p^31*q^242+123472*p^29*q^244+6004*p^27*q^246+64*p^25*q ^248+6822*p^32*q^240+139408*p^30*q^242+42565*p^28*q^244+820*p^26*q^246+8*p^24*q ^248+28*p^35*q^236+522*p^33*q^238+36651*p^31*q^240+152276*p^29*q^242+8446*p^27* q^244+103*p^34*q^236+4590*p^32*q^238+122200*p^30*q^240+58152*p^28*q^242+1276*p^ 26*q^244+28*p^24*q^246+114*p^33*q^236+27390*p^31*q^238+157669*p^29*q^240+11056* p^27*q^242+40*p^25*q^244+188*p^34*q^234+4176*p^32*q^236+115036*p^30*q^238+66698 *p^28*q^240+1536*p^26*q^242+178*p^33*q^234+19614*p^31*q^236+160704*p^29*q^238+ 16130*p^27*q^240+258*p^25*q^242+4*p^23*q^244+28*p^34*q^232+1498*p^32*q^234+ 87978*p^30*q^236+98736*p^28*q^238+2828*p^26*q^240+477*p^33*q^232+17972*p^31*q^ 234+165571*p^29*q^236+18528*p^27*q^238+74*p^25*q^240+32*p^34*q^230+1321*p^32*q^ 232+72776*p^30*q^234+98576*p^28*q^236+3688*p^26*q^238+24*p^24*q^240+252*p^33*q^ 230+11166*p^31*q^232+167780*p^29*q^234+29207*p^27*q^236+572*p^25*q^238+858*p^32 *q^230+55667*p^30*q^232+128882*p^28*q^234+4356*p^26*q^236+268*p^33*q^228+8256*p ^31*q^230+154367*p^29*q^232+39894*p^27*q^234+632*p^25*q^236+1044*p^32*q^228+ 48762*p^30*q^230+131660*p^28*q^232+5514*p^26*q^234+52*p^24*q^236+60*p^33*q^226+ 4932*p^31*q^228+134880*p^29*q^230+50449*p^27*q^232+1136*p^25*q^234+1020*p^32*q^ 226+34040*p^30*q^228+170478*p^28*q^230+10188*p^26*q^232+80*p^24*q^234+3660*p^31 *q^226+120429*p^29*q^228+60936*p^27*q^230+986*p^25*q^232+638*p^32*q^224+28740*p ^30*q^226+158660*p^28*q^228+13476*p^26*q^230+178*p^24*q^232+28*p^33*q^222+3350* p^31*q^224+100966*p^29*q^226+75904*p^27*q^228+1812*p^25*q^230+8*p^23*q^232+100* p^32*q^222+15888*p^30*q^224+178392*p^28*q^226+19220*p^26*q^228+336*p^24*q^230+ 2898*p^31*q^222+92300*p^29*q^224+99612*p^27*q^226+2166*p^25*q^228+8*p^23*q^230+ 326*p^32*q^220+15418*p^30*q^222+155700*p^28*q^224+22272*p^26*q^226+148*p^24*q^ 228+1204*p^31*q^220+65112*p^29*q^222+117132*p^27*q^224+5408*p^25*q^226+84*p^23* q^228+64*p^32*q^218+9872*p^30*q^220+173124*p^28*q^222+29856*p^26*q^224+232*p^24 *q^226+2*p^33*q^216+1484*p^31*q^218+54962*p^29*q^220+133400*p^27*q^222+5388*p^ 25*q^224+10*p^23*q^226+7342*p^30*q^218+143876*p^28*q^220+43278*p^26*q^222+934*p ^24*q^224+8*p^22*q^226+8*p^33*q^214+934*p^31*q^216+43278*p^29*q^218+143876*p^27 *q^220+7342*p^25*q^222+10*p^32*q^214+5388*p^30*q^216+133400*p^28*q^218+54962*p^ 26*q^220+1484*p^24*q^222+2*p^22*q^224+232*p^31*q^214+29856*p^29*q^216+173124*p^ 27*q^218+9872*p^25*q^220+64*p^23*q^222+84*p^32*q^212+5408*p^30*q^214+117132*p^ 28*q^216+65112*p^26*q^218+1204*p^24*q^220+148*p^31*q^212+22272*p^29*q^214+ 155700*p^27*q^216+15418*p^25*q^218+326*p^23*q^220+8*p^32*q^210+2166*p^30*q^212+ 99612*p^28*q^214+92300*p^26*q^216+2898*p^24*q^218+336*p^31*q^210+19220*p^29*q^ 212+178392*p^27*q^214+15888*p^25*q^216+100*p^23*q^218+8*p^32*q^208+1812*p^30*q^ 210+75904*p^28*q^212+100966*p^26*q^214+3350*p^24*q^216+28*p^22*q^218+178*p^31*q ^208+13476*p^29*q^210+158660*p^27*q^212+28740*p^25*q^214+638*p^23*q^216+986*p^ 30*q^208+60936*p^28*q^210+120429*p^26*q^212+3660*p^24*q^214+80*p^31*q^206+10188 *p^29*q^208+170478*p^27*q^210+34040*p^25*q^212+1020*p^23*q^214+1136*p^30*q^206+ 50449*p^28*q^208+134880*p^26*q^210+4932*p^24*q^212+60*p^22*q^214+52*p^31*q^204+ 5514*p^29*q^206+131660*p^27*q^208+48762*p^25*q^210+1044*p^23*q^212+632*p^30*q^ 204+39894*p^28*q^206+154367*p^26*q^208+8256*p^24*q^210+268*p^22*q^212+4356*p^29 *q^204+128882*p^27*q^206+55667*p^25*q^208+858*p^23*q^210+572*p^30*q^202+29207*p ^28*q^204+167780*p^26*q^206+11166*p^24*q^208+252*p^22*q^210+24*p^31*q^200+3688* p^29*q^202+98576*p^27*q^204+72776*p^25*q^206+1321*p^23*q^208+32*p^21*q^210+74*p ^30*q^200+18528*p^28*q^202+165571*p^26*q^204+17972*p^24*q^206+477*p^22*q^208+ 2828*p^29*q^200+98736*p^27*q^202+87978*p^25*q^204+1498*p^23*q^206+28*p^21*q^208 +4*p^32*q^196+258*p^30*q^198+16130*p^28*q^200+160704*p^26*q^202+19614*p^24*q^ 204+178*p^22*q^206+1536*p^29*q^198+66698*p^27*q^200+115036*p^25*q^202+4176*p^23 *q^204+188*p^21*q^206+40*p^30*q^196+11056*p^28*q^198+157669*p^26*q^200+27390*p^ 24*q^202+114*p^22*q^204+28*p^31*q^194+1276*p^29*q^196+58152*p^27*q^198+122200*p ^25*q^200+4590*p^23*q^202+103*p^21*q^204+8446*p^28*q^196+152276*p^26*q^198+ 36651*p^24*q^200+522*p^22*q^202+28*p^20*q^204+8*p^31*q^192+820*p^29*q^194+42565 *p^27*q^196+139408*p^25*q^198+6822*p^23*q^200+64*p^30*q^192+6004*p^28*q^194+ 123472*p^26*q^196+53366*p^24*q^198+784*p^22*q^200+66*p^20*q^202+136*p^29*q^192+ 32040*p^27*q^194+150910*p^25*q^196+8372*p^23*q^198+28*p^21*q^200+106*p^30*q^190 +5870*p^28*q^192+123382*p^26*q^194+56554*p^24*q^196+1306*p^22*q^198+156*p^29*q^ 190+22555*p^27*q^192+152040*p^25*q^194+13208*p^23*q^196+112*p^21*q^198+19*p^19* q^200+20*p^30*q^188+1834*p^28*q^190+94078*p^26*q^192+86200*p^24*q^194+2368*p^22 *q^196+368*p^29*q^188+23034*p^27*q^190+158659*p^25*q^192+14114*p^23*q^194+68*p^ 21*q^196+20*p^30*q^186+1544*p^28*q^188+73224*p^26*q^190+87206*p^24*q^192+2970*p ^22*q^194+8*p^20*q^196+2*p^18*q^198+264*p^29*q^186+13390*p^27*q^188+165524*p^25 *q^190+24308*p^23*q^192+492*p^21*q^194+866*p^28*q^186+60254*p^26*q^188+109230*p ^24*q^190+2962*p^22*q^192+220*p^29*q^184+9870*p^27*q^186+144248*p^25*q^188+ 32912*p^23*q^190+674*p^21*q^192+1176*p^28*q^184+53822*p^26*q^186+116666*p^24*q^ 188+3882*p^22*q^190+32*p^20*q^192+40*p^29*q^182+5533*p^27*q^184+130072*p^25*q^ 186+41042*p^23*q^188+1102*p^21*q^190+1108*p^28*q^182+38056*p^26*q^184+144830*p^ 24*q^186+6924*p^22*q^188+82*p^20*q^190+4096*p^27*q^182+116426*p^25*q^184+51020* p^23*q^186+582*p^21*q^188+704*p^28*q^180+30176*p^26*q^182+140390*p^24*q^184+ 10046*p^22*q^186+262*p^20*q^188+2*p^31*q^176+20*p^29*q^178+4000*p^27*q^180+ 98722*p^25*q^182+59946*p^23*q^184+924*p^21*q^186+4*p^19*q^188+84*p^28*q^178+ 17228*p^26*q^180+156726*p^24*q^182+16182*p^22*q^184+380*p^20*q^186+3466*p^27*q^ 178+89722*p^25*q^180+78982*p^23*q^182+1170*p^21*q^184+12*p^19*q^186+18*p^30*q^ 174+228*p^28*q^176+17134*p^26*q^178+135298*p^24*q^180+17736*p^22*q^182+96*p^20* q^184+1602*p^27*q^176+63284*p^25*q^178+95427*p^23*q^180+3650*p^21*q^182+132*p^ 19*q^184+40*p^28*q^174+10754*p^26*q^176+151580*p^24*q^178+22524*p^22*q^180+84*p ^20*q^182+60*p^29*q^172+1268*p^27*q^174+54822*p^25*q^176+105584*p^23*q^178+4140 *p^21*q^180+60*p^19*q^182+8706*p^26*q^174+125720*p^24*q^176+33784*p^22*q^178+ 376*p^20*q^180+12*p^18*q^182+38*p^29*q^170+780*p^27*q^172+42432*p^25*q^174+ 117481*p^23*q^176+5934*p^21*q^178+90*p^28*q^170+5964*p^26*q^172+118468*p^24*q^ 174+42142*p^22*q^176+776*p^20*q^178+28*p^18*q^180+138*p^27*q^170+29304*p^25*q^ 172+135682*p^23*q^174+7328*p^21*q^176+12*p^19*q^178+268*p^28*q^168+5392*p^26*q^ 170+104883*p^24*q^172+49260*p^22*q^174+1036*p^20*q^176+172*p^27*q^168+23060*p^ 25*q^170+122303*p^23*q^172+12030*p^21*q^174+100*p^19*q^176+4*p^17*q^178+32*p^28 *q^166+1912*p^26*q^168+86938*p^24*q^170+69142*p^22*q^172+2004*p^20*q^174+698*p^ 27*q^166+19770*p^25*q^168+145668*p^23*q^170+11522*p^21*q^172+48*p^19*q^174+36*p ^28*q^164+1572*p^26*q^166+66043*p^24*q^168+74272*p^22*q^170+2510*p^20*q^172+4*p ^18*q^174+400*p^27*q^164+12980*p^25*q^166+130106*p^23*q^168+21482*p^21*q^170+ 442*p^19*q^172+1114*p^26*q^164+56362*p^24*q^166+90026*p^22*q^168+2438*p^20*q^ 170+296*p^27*q^162+9380*p^25*q^164+131262*p^23*q^166+25478*p^21*q^168+544*p^19* q^170+1646*p^26*q^162+44284*p^24*q^164+99992*p^22*q^166+3676*p^20*q^168+30*p^18 *q^170+82*p^27*q^160+5344*p^25*q^162+107519*p^23*q^164+35540*p^21*q^166+720*p^ 19*q^168+1259*p^26*q^160+35312*p^24*q^162+112003*p^22*q^164+6748*p^20*q^166+124 *p^18*q^168+4178*p^25*q^160+102862*p^23*q^162+40373*p^21*q^164+484*p^19*q^166+ 866*p^26*q^158+27068*p^24*q^160+122814*p^22*q^162+7950*p^20*q^164+130*p^18*q^ 166+32*p^27*q^156+4194*p^25*q^158+78848*p^23*q^160+50326*p^21*q^162+1082*p^19*q ^164+16*p^17*q^166+124*p^26*q^156+15680*p^24*q^158+124605*p^22*q^160+13306*p^20 *q^162+210*p^18*q^164+3688*p^25*q^156+78492*p^23*q^158+61144*p^21*q^160+1168*p^ 19*q^162+6*p^17*q^164+4*p^28*q^152+348*p^26*q^154+14308*p^24*q^156+116120*p^22* q^158+14572*p^20*q^160+94*p^18*q^162+1634*p^25*q^154+52598*p^23*q^156+80162*p^ 21*q^158+3046*p^19*q^160+66*p^17*q^162+64*p^26*q^152+11066*p^24*q^154+115416*p^ 22*q^156+20306*p^20*q^158+104*p^18*q^160+30*p^27*q^150+1574*p^25*q^152+46776*p^ 23*q^154+82374*p^21*q^156+3302*p^19*q^158+12*p^17*q^160+7854*p^24*q^152+108196* p^22*q^154+25216*p^20*q^156+460*p^18*q^158+8*p^16*q^160+16*p^27*q^148+898*p^25* q^150+34228*p^23*q^152+94944*p^21*q^154+5064*p^19*q^156+74*p^26*q^148+5640*p^24 *q^150+91418*p^22*q^152+35894*p^20*q^154+558*p^18*q^156+2*p^16*q^158+246*p^25*q ^148+26482*p^23*q^150+104314*p^21*q^152+7014*p^19*q^154+28*p^17*q^156+170*p^26* q^146+5250*p^24*q^148+85704*p^22*q^150+37213*p^20*q^152+740*p^18*q^154+222*p^25 *q^146+18570*p^23*q^148+104630*p^21*q^150+10020*p^19*q^152+124*p^17*q^154+20*p^ 26*q^144+2086*p^24*q^146+66778*p^22*q^148+55924*p^20*q^150+1648*p^18*q^152+568* p^25*q^144+17754*p^23*q^146+105753*p^21*q^148+10574*p^19*q^150+36*p^17*q^152+16 *p^26*q^142+1756*p^24*q^144+55188*p^22*q^146+56526*p^20*q^148+2500*p^18*q^150+ 16*p^16*q^152+304*p^25*q^142+10730*p^23*q^144+103490*p^21*q^146+16329*p^19*q^ 148+216*p^17*q^150+1122*p^24*q^142+42926*p^22*q^144+73194*p^20*q^146+2830*p^18* q^148+160*p^25*q^140+8680*p^23*q^142+97981*p^21*q^144+21110*p^19*q^146+460*p^17 *q^148+1432*p^24*q^140+36824*p^22*q^142+73582*p^20*q^144+3264*p^18*q^146+12*p^ 16*q^148+60*p^25*q^138+4632*p^23*q^140+86034*p^21*q^142+26897*p^19*q^144+668*p^ 17*q^146+890*p^24*q^138+27288*p^22*q^140+88122*p^20*q^142+5836*p^18*q^144+56*p^ 16*q^146+4166*p^23*q^138+73002*p^21*q^140+32938*p^19*q^142+575*p^17*q^144+660*p ^24*q^136+21360*p^22*q^138+90740*p^20*q^140+7386*p^18*q^142+88*p^16*q^144+2*p^ 27*q^132+20*p^25*q^134+3530*p^23*q^136+63830*p^21*q^138+35560*p^19*q^140+1300*p ^17*q^142+4*p^15*q^144+100*p^24*q^134+12907*p^22*q^136+93878*p^20*q^138+11246*p ^18*q^140+152*p^16*q^142+2716*p^23*q^134+56807*p^21*q^136+49374*p^19*q^138+1280 *p^17*q^140+8*p^15*q^142+22*p^26*q^130+220*p^24*q^132+12312*p^22*q^134+82394*p^ 20*q^136+10796*p^18*q^138+124*p^16*q^140+1422*p^23*q^132+39370*p^21*q^134+58930 *p^19*q^136+3624*p^17*q^138+24*p^15*q^140+44*p^24*q^130+7948*p^22*q^132+90698*p ^20*q^134+14204*p^18*q^136+150*p^16*q^138+86*p^25*q^128+1106*p^23*q^130+34530*p ^21*q^132+61514*p^19*q^134+3314*p^17*q^136+6470*p^22*q^130+72952*p^20*q^132+ 20968*p^18*q^134+688*p^16*q^136+36*p^25*q^126+662*p^23*q^128+26360*p^21*q^130+ 69173*p^19*q^132+4038*p^17*q^134+144*p^24*q^126+4434*p^22*q^128+68648*p^20*q^ 130+24510*p^18*q^132+1132*p^16*q^134+128*p^23*q^126+18718*p^21*q^128+78574*p^19 *q^130+5006*p^17*q^132+48*p^15*q^134+264*p^24*q^124+3998*p^22*q^126+58658*p^20* q^128+29800*p^18*q^130+996*p^16*q^132+200*p^23*q^124+13636*p^21*q^126+71792*p^ 19*q^128+7114*p^17*q^130+286*p^15*q^132+32*p^24*q^122+1324*p^22*q^124+50340*p^ 20*q^126+40602*p^18*q^128+1986*p^16*q^130+642*p^23*q^122+13146*p^21*q^124+76582 *p^19*q^126+7656*p^17*q^128+100*p^15*q^130+30*p^24*q^120+1172*p^22*q^122+35030* p^20*q^124+43930*p^18*q^126+1640*p^16*q^128+28*p^14*q^130+366*p^23*q^120+8056*p ^21*q^122+72284*p^19*q^124+12318*p^17*q^126+619*p^15*q^128+882*p^22*q^120+29890 *p^20*q^122+48802*p^18*q^124+1886*p^16*q^126+252*p^23*q^118+5562*p^21*q^120+ 71486*p^19*q^122+15986*p^17*q^124+680*p^15*q^126+1248*p^22*q^118+25676*p^20*q^ 120+53720*p^18*q^122+2220*p^16*q^124+76*p^14*q^126+59*p^23*q^116+3390*p^21*q^ 118+51864*p^19*q^120+20600*p^17*q^122+688*p^15*q^124+1012*p^22*q^116+18604*p^20 *q^118+65944*p^18*q^120+4086*p^16*q^122+208*p^14*q^124+2552*p^21*q^116+52320*p^ 19*q^118+21188*p^17*q^120+536*p^15*q^122+626*p^22*q^114+14087*p^20*q^116+62646* p^18*q^118+5558*p^16*q^120+250*p^14*q^122+2*p^25*q^110+20*p^23*q^112+2822*p^21* q^114+38934*p^19*q^116+29290*p^17*q^118+538*p^15*q^120+28*p^13*q^122+92*p^22*q^ 112+8300*p^20*q^114+62013*p^18*q^116+8048*p^16*q^118+384*p^14*q^120+2453*p^21*q ^112+38266*p^19*q^114+34170*p^17*q^116+864*p^15*q^118+28*p^13*q^120+18*p^24*q^ 108+188*p^22*q^110+7580*p^20*q^112+56846*p^18*q^114+8090*p^16*q^116+50*p^14*q^ 118+996*p^21*q^110+24666*p^19*q^112+42554*p^17*q^114+2256*p^15*q^116+188*p^13*q ^118+44*p^22*q^108+5944*p^20*q^110+55502*p^18*q^112+10788*p^16*q^114+56*p^14*q^ 116+58*p^23*q^106+834*p^21*q^108+21394*p^19*q^110+43758*p^17*q^112+2378*p^15*q^ 114+70*p^13*q^116+4359*p^20*q^108+49912*p^18*q^110+14554*p^16*q^112+304*p^14*q^ 114+32*p^12*q^116+28*p^23*q^104+508*p^21*q^106+15464*p^19*q^108+48934*p^17*q^ 110+3086*p^15*q^112+80*p^22*q^104+2992*p^20*q^106+39744*p^18*q^108+18660*p^16*q ^110+608*p^14*q^112+56*p^12*q^114+120*p^21*q^104+12204*p^19*q^106+50672*p^17*q^ 108+4054*p^15*q^110+16*p^13*q^112+180*p^22*q^102+2508*p^20*q^104+37900*p^18*q^ 106+20762*p^16*q^108+556*p^14*q^110+104*p^21*q^102+8612*p^19*q^104+46948*p^17*q ^106+5054*p^15*q^108+92*p^13*q^110+18*p^11*q^112+20*p^22*q^100+1012*p^20*q^102+ 27099*p^18*q^104+30750*p^16*q^106+1338*p^14*q^108+402*p^21*q^100+7706*p^19*q^ 102+49390*p^17*q^104+5204*p^15*q^106+24*p^13*q^108+20*p^22*q^98+696*p^20*q^100+ 21954*p^18*q^102+28486*p^16*q^104+1662*p^14*q^106+4*p^12*q^108+2*p^10*q^110+216 *p^21*q^98+4649*p^19*q^100+45174*p^17*q^102+9352*p^15*q^104+244*p^13*q^106+530* p^20*q^98+17731*p^18*q^100+36082*p^16*q^102+1454*p^14*q^104+148*p^21*q^96+3504* p^19*q^98+38211*p^17*q^100+10754*p^15*q^102+486*p^13*q^104+720*p^20*q^96+13926* p^18*q^98+36856*p^16*q^100+1622*p^14*q^102+8*p^12*q^104+34*p^21*q^94+1696*p^19* q^96+33772*p^17*q^98+14566*p^15*q^100+664*p^13*q^102+550*p^20*q^94+10100*p^18*q ^96+40738*p^16*q^98+2452*p^14*q^100+80*p^12*q^102+1622*p^19*q^94+28869*p^17*q^ 96+17222*p^15*q^98+498*p^13*q^100+358*p^20*q^92+7692*p^18*q^94+37031*p^16*q^96+ 3552*p^14*q^98+128*p^12*q^100+14*p^21*q^90+1330*p^19*q^92+21586*p^17*q^94+20649 *p^15*q^96+380*p^13*q^98+4*p^11*q^100+24*p^20*q^90+4244*p^18*q^92+40470*p^16*q^ 94+5436*p^14*q^96+332*p^12*q^98+1324*p^19*q^90+19316*p^17*q^92+24024*p^15*q^94+ 468*p^13*q^96+4*p^11*q^98+132*p^20*q^88+3968*p^18*q^90+31878*p^16*q^92+6564*p^ 14*q^94+112*p^12*q^96+504*p^19*q^88+12722*p^17*q^90+26898*p^15*q^92+1198*p^13*q ^94+84*p^11*q^96+8*p^20*q^86+2944*p^18*q^88+32194*p^16*q^90+8694*p^14*q^92+34*p ^12*q^94+476*p^19*q^86+10412*p^17*q^88+30138*p^15*q^90+1324*p^13*q^92+84*p^11*q ^94+2022*p^18*q^86+25160*p^16*q^88+9908*p^14*q^90+146*p^12*q^92+4*p^10*q^94+240 *p^19*q^84+8082*p^17*q^86+29644*p^15*q^88+2620*p^13*q^90+1360*p^18*q^84+20792*p ^16*q^86+13944*p^14*q^88+134*p^12*q^90+32*p^10*q^92+16*p^19*q^82+5548*p^17*q^84 +31858*p^15*q^86+2907*p^13*q^88+8*p^11*q^90+3*p^20*q^80+1466*p^18*q^82+17309*p^ 16*q^84+14872*p^14*q^86+464*p^12*q^88+22*p^19*q^80+3420*p^17*q^82+25647*p^15*q^ 84+3886*p^13*q^86+12*p^11*q^88+4*p^9*q^90+276*p^18*q^80+14366*p^16*q^82+20208*p ^14*q^84+928*p^12*q^86+24*p^19*q^78+3752*p^17*q^80+26936*p^15*q^82+3718*p^13*q^ 84+20*p^11*q^86+266*p^18*q^78+9420*p^16*q^80+20632*p^14*q^82+1070*p^12*q^84+ 2106*p^17*q^78+21591*p^15*q^80+6554*p^13*q^82+164*p^11*q^84+80*p^18*q^76+7344*p ^16*q^78+22608*p^14*q^80+954*p^12*q^82+1434*p^17*q^76+20570*p^15*q^78+8688*p^13 *q^80+242*p^11*q^82+52*p^18*q^74+5838*p^16*q^76+21524*p^14*q^78+1046*p^12*q^80+ 12*p^10*q^82+522*p^17*q^74+14482*p^15*q^76+11034*p^13*q^78+450*p^11*q^80+8*p^18 *q^72+4514*p^16*q^74+21818*p^14*q^76+1976*p^12*q^78+14*p^10*q^80+304*p^17*q^72+ 12198*p^15*q^74+12646*p^13*q^76+164*p^11*q^78+3187*p^16*q^72+21954*p^14*q^74+ 2638*p^12*q^76+120*p^10*q^78+140*p^17*q^70+8646*p^15*q^72+13130*p^13*q^74+286*p ^11*q^76+1060*p^16*q^70+18730*p^14*q^72+4738*p^12*q^74+118*p^10*q^76+32*p^17*q^ 68+9092*p^15*q^70+15108*p^13*q^72+272*p^11*q^74+8*p^9*q^76+1064*p^16*q^68+14368 *p^14*q^70+4984*p^12*q^72+16*p^10*q^74+4*p^17*q^66+4204*p^15*q^68+18560*p^13*q^ 70+967*p^11*q^72+46*p^9*q^74+326*p^16*q^66+13939*p^14*q^68+5826*p^12*q^70+24*p^ 10*q^72+3618*p^15*q^66+15529*p^13*q^68+1408*p^11*q^70+80*p^16*q^64+11036*p^14*q ^66+8144*p^12*q^68+74*p^10*q^70+6*p^8*q^72+6*p^17*q^62+2056*p^15*q^64+15440*p^ 13*q^66+1622*p^11*q^68+12*p^16*q^62+7825*p^14*q^64+10376*p^12*q^66+244*p^10*q^ 68+744*p^15*q^62+15628*p^13*q^64+1956*p^11*q^66+62*p^16*q^60+6642*p^14*q^62+ 9481*p^12*q^64+330*p^10*q^66+256*p^15*q^60+11830*p^13*q^62+3450*p^11*q^64+20*p^ 9*q^66+3334*p^14*q^60+13246*p^12*q^62+596*p^10*q^64+264*p^15*q^58+11322*p^13*q^ 60+3322*p^11*q^62+24*p^9*q^64+3*p^16*q^56+2000*p^14*q^58+11016*p^12*q^60+634*p^ 10*q^62+76*p^15*q^56+8456*p^13*q^58+5684*p^11*q^60+156*p^9*q^62+900*p^14*q^56+ 12594*p^12*q^58+586*p^10*q^60+24*p^15*q^54+6400*p^13*q^56+6476*p^11*q^58+176*p^ 9*q^60+586*p^14*q^54+10146*p^12*q^56+1202*p^10*q^58+12*p^8*q^60+3376*p^13*q^54+ 7560*p^11*q^56+60*p^9*q^58+153*p^14*q^52+10446*p^12*q^54+2150*p^10*q^56+60*p^8* q^58+2244*p^13*q^52+8018*p^11*q^54+90*p^9*q^56+70*p^14*q^50+8088*p^12*q^52+2566 *p^10*q^54+3*p^15*q^48+956*p^13*q^50+7737*p^11*q^52+370*p^9*q^54+8*p^7*q^56+ 5390*p^12*q^50+3894*p^10*q^52+541*p^13*q^48+9934*p^11*q^50+436*p^9*q^52+24*p^14 *q^46+3494*p^12*q^48+3230*p^10*q^50+28*p^8*q^52+72*p^13*q^46+7636*p^11*q^48+ 1254*p^9*q^50+2162*p^12*q^46+5272*p^10*q^48+34*p^8*q^50+81*p^13*q^44+6448*p^11* q^46+897*p^9*q^48+842*p^12*q^44+6378*p^10*q^46+236*p^8*q^48+36*p^13*q^42+4764*p ^11*q^44+1408*p^9*q^46+230*p^12*q^42+5938*p^10*q^44+244*p^8*q^46+3506*p^11*q^42 +2334*p^9*q^44+16*p^7*q^46+256*p^12*q^40+5304*p^10*q^42+160*p^8*q^44+1131*p^11* q^40+3302*p^9*q^42+74*p^7*q^44+12*p^12*q^38+5911*p^10*q^40+416*p^8*q^42+818*p^ 11*q^38+3182*p^9*q^40+12*p^12*q^36+3462*p^10*q^38+868*p^8*q^40+10*p^6*q^42+234* p^11*q^36+4104*p^9*q^38+36*p^7*q^40+2120*p^10*q^36+1344*p^8*q^38+96*p^11*q^34+ 4232*p^9*q^36+76*p^7*q^38+1114*p^10*q^34+1307*p^8*q^36+12*p^11*q^32+3518*p^9*q^ 34+302*p^7*q^36+384*p^10*q^32+2228*p^8*q^34+2586*p^9*q^32+330*p^7*q^34+174*p^10 *q^30+2376*p^8*q^32+20*p^6*q^34+1132*p^9*q^30+581*p^7*q^32+3050*p^8*q^30+88*p^6 *q^32+774*p^9*q^28+626*p^7*q^30+4*p^10*q^26+1804*p^8*q^28+58*p^6*q^30+92*p^9*q^ 26+1542*p^7*q^28+12*p^5*q^30+1624*p^8*q^26+78*p^6*q^28+34*p^9*q^24+1424*p^7*q^ 26+640*p^8*q^24+332*p^6*q^26+1446*p^7*q^24+132*p^8*q^22+570*p^6*q^24+1450*p^7*q ^22+24*p^5*q^24+30*p^8*q^20+514*p^6*q^22+408*p^7*q^20+142*p^5*q^22+1134*p^6*q^ 20+180*p^7*q^18+50*p^5*q^20+720*p^6*q^18+14*p^4*q^20+5*p^7*q^16+346*p^5*q^18+ 421*p^6*q^16+468*p^5*q^16+70*p^6*q^14+36*p^4*q^16+444*p^5*q^14+130*p^4*q^14+225 *p^5*q^12+168*p^4*q^12+6*p^5*q^10+16*p^3*q^12+266*p^4*q^10+16*p^3*q^10+35*p^4*q ^8+121*p^3*q^8+56*p^3*q^6+18*p^2*q^6+36*p^2*q^4+10*p*q^2+1 J[12](p, q), equals p^66*q^572+11*p^65*q^570+45*p^64*q^568+20*p^64*q^566+84*p^63*q^566+154*p^63*q^ 564+70*p^62*q^564+18*p^63*q^562+408*p^62*q^562+18*p^63*q^560+21*p^61*q^562+224* p^62*q^560+448*p^61*q^560+164*p^62*q^558+p^60*q^560+742*p^61*q^558+41*p^62*q^ 556+200*p^60*q^558+686*p^61*q^556+928*p^60*q^556+465*p^61*q^554+30*p^59*q^556+ 16*p^62*q^552+1384*p^60*q^554+58*p^61*q^552+515*p^59*q^554+1830*p^60*q^552+178* p^61*q^550+1170*p^59*q^552+748*p^60*q^550+130*p^58*q^552+28*p^61*q^548+3079*p^ 59*q^550+812*p^60*q^548+500*p^58*q^550+2714*p^59*q^548+10*p^57*q^550+440*p^60*q ^546+2002*p^58*q^548+2420*p^59*q^546+140*p^57*q^548+92*p^60*q^544+4082*p^58*q^ 546+14*p^61*q^542+2414*p^59*q^544+527*p^57*q^546+68*p^60*q^542+4212*p^58*q^544+ 20*p^56*q^546+898*p^59*q^542+2578*p^57*q^544+116*p^60*q^540+6048*p^58*q^542+53* p^56*q^544+774*p^59*q^540+3810*p^57*q^542+24*p^60*q^538+4179*p^58*q^540+828*p^ 56*q^542+475*p^59*q^538+7202*p^57*q^540+8*p^55*q^542+3642*p^58*q^538+1610*p^56* q^540+404*p^59*q^536+8532*p^57*q^538+108*p^55*q^540+2071*p^58*q^536+4472*p^56*q ^538+p^54*q^540+92*p^59*q^534+8886*p^57*q^536+492*p^55*q^538+2042*p^58*q^534+ 7531*p^56*q^536+44*p^59*q^532+7884*p^57*q^534+1218*p^55*q^536+12*p^60*q^530+ 1202*p^58*q^532+10712*p^56*q^534+114*p^54*q^536+5852*p^57*q^532+3904*p^55*q^534 +568*p^58*q^530+14968*p^56*q^532+108*p^54*q^534+100*p^59*q^528+5634*p^57*q^530+ 5706*p^55*q^532+12*p^53*q^534+198*p^58*q^528+12552*p^56*q^530+1245*p^54*q^532+ 20*p^59*q^526+3624*p^57*q^528+13148*p^55*q^530+368*p^58*q^526+13370*p^56*q^528+ 1848*p^54*q^530+2066*p^57*q^526+15096*p^55*q^528+180*p^53*q^530+326*p^58*q^524+ 12602*p^56*q^526+5180*p^54*q^528+1340*p^57*q^524+19596*p^55*q^526+552*p^53*q^ 528+44*p^58*q^522+9406*p^56*q^524+10040*p^54*q^526+6*p^52*q^528+1907*p^57*q^522 +21272*p^55*q^524+1072*p^53*q^526+36*p^58*q^520+5606*p^56*q^522+14167*p^54*q^ 524+120*p^52*q^526+632*p^57*q^520+23536*p^55*q^522+3692*p^53*q^524+6554*p^56*q^ 520+21098*p^54*q^522+120*p^52*q^524+10*p^59*q^516+517*p^57*q^518+17756*p^55*q^ 520+5688*p^53*q^522+12*p^51*q^524+4172*p^56*q^518+27328*p^54*q^520+884*p^52*q^ 522+120*p^57*q^516+16452*p^55*q^518+11466*p^53*q^520+6*p^51*q^522+84*p^58*q^514 +3306*p^56*q^516+32854*p^54*q^518+1459*p^52*q^520+78*p^57*q^514+14642*p^55*q^ 516+16668*p^53*q^518+126*p^51*q^520+16*p^58*q^512+1760*p^56*q^514+29029*p^54*q^ 516+3914*p^52*q^518+282*p^57*q^512+11920*p^55*q^514+27532*p^53*q^516+349*p^51*q ^518+852*p^56*q^512+32684*p^54*q^514+5952*p^52*q^516+12*p^50*q^518+228*p^57*q^ 510+9802*p^55*q^512+33809*p^53*q^514+720*p^51*q^516+992*p^56*q^510+26432*p^54*q ^512+12052*p^52*q^514+66*p^50*q^516+34*p^57*q^508+5332*p^55*q^510+41224*p^53*q^ 512+2062*p^51*q^514+1014*p^56*q^508+28840*p^54*q^510+18674*p^52*q^512+36*p^50*q ^514+28*p^57*q^506+5428*p^55*q^508+41894*p^53*q^510+2650*p^51*q^512+9*p^49*q^ 514+496*p^56*q^506+19620*p^54*q^508+31186*p^52*q^510+630*p^50*q^512+3367*p^55*q ^506+46436*p^53*q^508+6196*p^51*q^510+366*p^56*q^504+19440*p^54*q^506+38470*p^ 52*q^508+470*p^50*q^510+p^48*q^512+2838*p^55*q^504+44266*p^53*q^506+11756*p^51* q^508+84*p^49*q^510+8*p^58*q^500+108*p^56*q^502+14287*p^54*q^504+48312*p^52*q^ 506+1174*p^50*q^508+2274*p^55*q^502+40324*p^53*q^504+20980*p^51*q^506+188*p^49* q^508+36*p^56*q^500+10700*p^54*q^502+56118*p^52*q^504+2758*p^50*q^506+68*p^57*q ^498+1450*p^55*q^500+42466*p^53*q^502+27076*p^51*q^504+84*p^49*q^506+24*p^56*q^ 498+9142*p^54*q^500+55454*p^52*q^502+6481*p^50*q^504+54*p^48*q^506+12*p^57*q^ 496+458*p^55*q^498+31236*p^53*q^500+47286*p^51*q^502+432*p^49*q^504+204*p^56*q^ 496+8004*p^54*q^498+65256*p^52*q^500+9292*p^50*q^502+448*p^55*q^496+28002*p^53* q^498+46492*p^51*q^500+1259*p^49*q^502+6*p^47*q^504+184*p^56*q^494+4418*p^54*q^ 496+63868*p^52*q^498+20056*p^50*q^500+36*p^48*q^502+334*p^55*q^494+25222*p^53*q ^496+63522*p^51*q^498+2442*p^49*q^500+24*p^56*q^492+3212*p^54*q^494+59220*p^52* q^496+28520*p^50*q^498+124*p^48*q^500+812*p^55*q^492+20950*p^53*q^494+69750*p^ 51*q^496+4441*p^49*q^498+20*p^56*q^490+1788*p^54*q^492+55538*p^52*q^494+38032*p ^50*q^496+532*p^48*q^498+378*p^55*q^490+15482*p^53*q^492+81372*p^51*q^494+9976* p^49*q^496+4*p^47*q^498+1992*p^54*q^490+53185*p^52*q^492+51830*p^50*q^494+742*p ^48*q^496+272*p^55*q^488+11639*p^53*q^490+80512*p^51*q^492+15200*p^49*q^494+52* p^47*q^496+1924*p^54*q^488+46802*p^52*q^490+60206*p^50*q^492+2088*p^48*q^494+44 *p^55*q^486+7040*p^53*q^488+87049*p^51*q^490+25556*p^49*q^492+186*p^47*q^494+ 1616*p^54*q^486+41458*p^52*q^488+81724*p^50*q^490+3157*p^48*q^492+6*p^57*q^482+ 24*p^55*q^484+7418*p^53*q^486+82118*p^51*q^488+31460*p^49*q^490+248*p^47*q^492+ 816*p^54*q^484+30294*p^52*q^486+83696*p^50*q^488+8802*p^48*q^490+38*p^46*q^492+ 16*p^55*q^482+5598*p^53*q^484+87627*p^51*q^486+47996*p^49*q^488+436*p^47*q^490+ 52*p^56*q^480+268*p^54*q^482+26930*p^52*q^484+98252*p^50*q^486+11006*p^48*q^488 +8*p^46*q^490+4896*p^53*q^482+77778*p^51*q^484+59759*p^49*q^486+1632*p^47*q^488 +3*p^45*q^490+8*p^56*q^478+298*p^54*q^480+20092*p^52*q^482+103598*p^50*q^484+ 19502*p^48*q^486+47*p^46*q^488+158*p^55*q^478+2464*p^53*q^480+71750*p^51*q^482+ 71166*p^49*q^484+3126*p^47*q^486+56*p^54*q^478+17660*p^52*q^480+119428*p^50*q^ 482+29216*p^48*q^484+128*p^46*q^486+140*p^55*q^476+2334*p^53*q^478+61152*p^51*q ^480+85882*p^49*q^482+4416*p^47*q^484+3*p^45*q^486+262*p^54*q^476+12884*p^52*q^ 478+113176*p^50*q^480+38438*p^48*q^482+788*p^46*q^484+14*p^55*q^474+916*p^53*q^ 476+53890*p^51*q^478+102438*p^49*q^480+10516*p^47*q^482+590*p^54*q^474+10592*p^ 52*q^476+123252*p^50*q^478+46864*p^48*q^480+486*p^46*q^482+12*p^55*q^472+791*p^ 53*q^474+45196*p^51*q^476+117558*p^49*q^478+14718*p^47*q^480+108*p^45*q^482+268 *p^54*q^472+7328*p^52*q^474+107100*p^50*q^476+64172*p^48*q^478+2142*p^46*q^480+ 1128*p^53*q^472+36233*p^51*q^474+133884*p^49*q^476+21742*p^47*q^478+68*p^45*q^ 480+176*p^54*q^470+4796*p^52*q^472+110612*p^50*q^474+75456*p^48*q^476+4216*p^46 *q^478+6*p^44*q^480+1262*p^53*q^470+31018*p^51*q^472+144975*p^49*q^474+26996*p^ 47*q^476+186*p^45*q^478+20*p^54*q^468+3564*p^52*q^470+94446*p^50*q^472+97390*p^ 48*q^474+7296*p^46*q^476+8*p^44*q^478+1076*p^53*q^468+22871*p^51*q^470+149306*p ^49*q^472+39720*p^47*q^474+796*p^45*q^476+12*p^54*q^466+3096*p^52*q^468+86814*p ^50*q^470+114886*p^48*q^472+9692*p^46*q^474+4*p^44*q^476+520*p^53*q^466+19092*p ^51*q^468+163134*p^49*q^470+46540*p^47*q^472+1592*p^45*q^474+4*p^56*q^462+8*p^ 54*q^464+3634*p^52*q^466+68838*p^50*q^468+133454*p^48*q^470+15414*p^46*q^472+80 *p^44*q^474+148*p^53*q^464+11596*p^51*q^466+157552*p^49*q^468+67162*p^47*q^470+ 3032*p^45*q^472+2936*p^52*q^464+69502*p^50*q^466+151120*p^48*q^468+19806*p^46*q ^470+168*p^44*q^472+36*p^55*q^460+178*p^53*q^462+10876*p^51*q^464+146838*p^49*q ^466+76252*p^47*q^468+4074*p^45*q^470+1508*p^52*q^462+48088*p^50*q^464+182148*p ^48*q^466+27986*p^46*q^468+802*p^44*q^470+4*p^55*q^458+32*p^53*q^460+9198*p^51* q^462+142562*p^49*q^464+100835*p^47*q^466+6854*p^45*q^468+8*p^43*q^470+112*p^54 *q^458+1392*p^52*q^460+41562*p^50*q^462+184653*p^48*q^464+36296*p^46*q^466+786* p^44*q^468+12*p^53*q^458+7286*p^51*q^460+134404*p^49*q^462+116450*p^47*q^464+ 10640*p^45*q^466+108*p^43*q^468+96*p^54*q^456+612*p^52*q^458+32428*p^50*q^460+ 202206*p^48*q^462+46384*p^46*q^464+1592*p^44*q^466+144*p^53*q^456+6139*p^51*q^ 458+114212*p^49*q^460+150388*p^47*q^462+14254*p^45*q^464+202*p^43*q^466+4*p^54* q^454+216*p^52*q^456+24714*p^50*q^458+205872*p^48*q^460+61000*p^46*q^462+2905*p ^44*q^464+460*p^53*q^454+4980*p^51*q^456+106716*p^49*q^458+165258*p^47*q^460+ 16912*p^45*q^462+230*p^43*q^464+4*p^54*q^452+152*p^52*q^454+20409*p^50*q^456+ 202850*p^48*q^458+73990*p^46*q^460+5476*p^44*q^462+54*p^42*q^464+140*p^53*q^452 +2196*p^51*q^454+82082*p^49*q^456+208445*p^47*q^458+27116*p^45*q^460+400*p^43*q ^462+850*p^52*q^452+19438*p^50*q^454+202632*p^48*q^456+95236*p^46*q^458+5410*p^ 44*q^460+16*p^42*q^462+92*p^53*q^450+1378*p^51*q^452+71014*p^49*q^454+208788*p^ 47*q^456+31736*p^45*q^458+1460*p^43*q^460+6*p^41*q^462+840*p^52*q^450+13666*p^ 50*q^452+194172*p^48*q^454+121971*p^46*q^456+9654*p^44*q^458+24*p^42*q^460+8*p^ 53*q^448+1294*p^51*q^450+53786*p^49*q^452+246864*p^47*q^454+38784*p^45*q^456+ 2020*p^43*q^458+630*p^52*q^448+9782*p^50*q^450+182734*p^48*q^452+151642*p^46*q^ 454+12307*p^44*q^456+192*p^42*q^458+1900*p^51*q^448+51673*p^49*q^450+239996*p^ 47*q^452+53967*p^45*q^454+2566*p^43*q^456+296*p^52*q^446+5948*p^50*q^448+150572 *p^48*q^450+177515*p^46*q^452+15832*p^44*q^454+540*p^42*q^456+4*p^53*q^444+2104 *p^51*q^446+40196*p^49*q^448+284623*p^47*q^450+68552*p^45*q^452+4478*p^43*q^454 +8*p^41*q^456+20*p^52*q^444+4828*p^50*q^446+133188*p^48*q^448+206206*p^46*q^450 +19875*p^44*q^452+592*p^42*q^454+2*p^55*q^440+1960*p^51*q^444+30706*p^49*q^446+ 266454*p^47*q^448+91953*p^45*q^450+5034*p^43*q^452+92*p^41*q^454+96*p^52*q^442+ 4627*p^50*q^444+120900*p^48*q^446+227360*p^46*q^448+25290*p^44*q^450+1450*p^42* q^452+578*p^51*q^442+21068*p^49*q^444+262674*p^47*q^446+117996*p^45*q^448+8504* p^43*q^450+84*p^41*q^452+20*p^54*q^438+8*p^52*q^440+5814*p^50*q^442+103319*p^48 *q^444+286232*p^46*q^446+32686*p^44*q^448+1300*p^42*q^450+8*p^40*q^452+776*p^51 *q^440+17996*p^49*q^442+242406*p^47*q^444+134552*p^45*q^446+8566*p^43*q^448+290 *p^41*q^450+3718*p^50*q^440+82230*p^48*q^442+289726*p^46*q^444+50990*p^44*q^446 +3060*p^42*q^448+8*p^40*q^450+72*p^53*q^436+258*p^51*q^438+13888*p^49*q^440+ 240951*p^47*q^442+170684*p^45*q^444+11052*p^43*q^446+436*p^41*q^448+3428*p^50*q ^438+66186*p^48*q^440+328074*p^46*q^442+58289*p^44*q^444+3168*p^42*q^446+22*p^ 40*q^448+36*p^53*q^434+36*p^51*q^436+12218*p^49*q^438+209646*p^47*q^440+208870* p^45*q^442+15726*p^43*q^444+794*p^41*q^446+116*p^52*q^434+2456*p^50*q^436+55538 *p^48*q^438+321229*p^46*q^440+80656*p^44*q^442+3597*p^42*q^444+100*p^40*q^446+ 16*p^51*q^434+10656*p^49*q^436+184285*p^47*q^438+243988*p^45*q^440+21746*p^43*q ^442+1210*p^41*q^444+242*p^52*q^432+780*p^50*q^434+40096*p^48*q^436+358576*p^46 *q^438+96508*p^44*q^440+5576*p^42*q^442+156*p^40*q^444+150*p^51*q^432+10964*p^ 49*q^434+167088*p^47*q^436+278554*p^45*q^438+28154*p^43*q^440+814*p^41*q^442+12 *p^39*q^444+32*p^52*q^430+500*p^50*q^432+32234*p^48*q^434+317277*p^46*q^436+ 130854*p^44*q^438+6308*p^42*q^440+470*p^40*q^442+556*p^51*q^430+5528*p^49*q^432 +142108*p^47*q^434+327172*p^45*q^436+38460*p^43*q^438+2176*p^41*q^440+12*p^39*q ^442+32*p^52*q^428+452*p^50*q^430+32096*p^48*q^432+332304*p^46*q^434+148611*p^ 44*q^436+8584*p^42*q^438+114*p^40*q^440+344*p^51*q^428+4608*p^49*q^430+106638*p ^47*q^432+363441*p^45*q^434+49488*p^43*q^436+2169*p^41*q^438+130*p^39*q^440+806 *p^50*q^428+23860*p^48*q^430+306002*p^46*q^432+193254*p^44*q^434+12372*p^42*q^ 436+512*p^40*q^438+260*p^51*q^426+2216*p^49*q^428+97264*p^47*q^430+372538*p^45* q^432+67720*p^43*q^434+2572*p^41*q^436+66*p^39*q^438+1024*p^50*q^426+19874*p^48 *q^428+286692*p^46*q^430+232709*p^44*q^432+15482*p^42*q^434+832*p^40*q^436+16*p ^38*q^438+72*p^51*q^424+2494*p^49*q^426+76910*p^47*q^428+418694*p^45*q^430+ 76866*p^43*q^432+3438*p^41*q^434+44*p^39*q^436+976*p^50*q^424+12938*p^48*q^426+ 244164*p^46*q^428+280026*p^44*q^430+23506*p^42*q^432+1032*p^40*q^434+37*p^38*q^ 436+4*p^51*q^422+2270*p^49*q^424+65318*p^47*q^426+412138*p^45*q^428+109746*p^43 *q^430+3916*p^41*q^432+200*p^39*q^434+700*p^50*q^422+10012*p^48*q^424+229300*p^ 46*q^426+319386*p^44*q^428+29828*p^42*q^430+1140*p^40*q^432+28*p^51*q^420+2100* p^49*q^422+53414*p^47*q^424+429142*p^45*q^426+126888*p^43*q^428+6634*p^41*q^430 +292*p^39*q^432+10*p^37*q^434+164*p^50*q^420+9132*p^48*q^422+180202*p^46*q^424+ 373724*p^44*q^426+38811*p^42*q^428+804*p^40*q^430+24*p^38*q^432+2496*p^49*q^420 +37879*p^47*q^422+411762*p^45*q^424+174586*p^43*q^426+9296*p^41*q^428+602*p^39* q^430+292*p^50*q^418+6092*p^48*q^420+170748*p^46*q^422+402118*p^44*q^424+47660* p^42*q^426+1342*p^40*q^428+24*p^38*q^430+p^36*q^432+1420*p^49*q^418+34782*p^47* q^420+398150*p^45*q^422+200104*p^43*q^424+12788*p^41*q^426+220*p^39*q^428+50*p^ 50*q^416+5808*p^48*q^418+124060*p^46*q^420+467312*p^44*q^422+66634*p^42*q^424+ 2384*p^40*q^426+228*p^38*q^428+1336*p^49*q^416+25906*p^47*q^418+368224*p^45*q^ 420+256351*p^43*q^422+16016*p^41*q^424+182*p^39*q^426+8*p^50*q^414+4824*p^48*q^ 416+117020*p^46*q^418+474384*p^44*q^420+82416*p^42*q^422+3482*p^40*q^424+136*p^ 38*q^426+702*p^49*q^414+19646*p^47*q^416+334208*p^45*q^418+292558*p^43*q^420+ 21732*p^41*q^422+424*p^39*q^424+32*p^37*q^426+14*p^50*q^412+4672*p^48*q^414+ 88230*p^46*q^416+523374*p^44*q^418+106526*p^42*q^420+4888*p^40*q^422+12*p^38*q^ 424+224*p^49*q^412+15266*p^47*q^414+289476*p^45*q^416+360098*p^43*q^418+28436*p ^41*q^420+810*p^39*q^422+74*p^37*q^424+24*p^50*q^410+3738*p^48*q^412+74456*p^46 *q^414+509490*p^44*q^416+141394*p^42*q^418+5950*p^40*q^420+52*p^38*q^422+247*p^ 49*q^410+13884*p^47*q^412+268192*p^45*q^414+397786*p^43*q^416+35463*p^41*q^418+ 1232*p^39*q^420+4*p^50*q^408+1752*p^48*q^410+56826*p^46*q^412+516428*p^44*q^414 +165994*p^42*q^416+9738*p^40*q^418+120*p^38*q^420+20*p^36*q^422+192*p^49*q^408+ 11604*p^47*q^410+214298*p^45*q^412+486276*p^43*q^414+50952*p^41*q^416+1292*p^39 *q^418+4*p^37*q^420+1747*p^48*q^408+47822*p^46*q^410+500432*p^44*q^412+208536*p ^42*q^414+10289*p^40*q^416+308*p^38*q^418+110*p^49*q^406+8990*p^47*q^408+187541 *p^45*q^410+492492*p^43*q^412+63248*p^41*q^414+2596*p^39*q^416+6*p^37*q^418+2*p ^35*q^420+984*p^48*q^406+36763*p^46*q^408+476838*p^44*q^410+259239*p^42*q^412+ 16026*p^40*q^414+232*p^38*q^416+8*p^49*q^404+6869*p^47*q^406+150214*p^45*q^408+ 585125*p^43*q^410+79660*p^41*q^412+3056*p^39*q^414+60*p^37*q^416+1018*p^48*q^ 404+31798*p^46*q^406+429860*p^44*q^408+319042*p^42*q^410+20036*p^40*q^412+408*p ^38*q^414+4874*p^47*q^404+133724*p^45*q^406+577642*p^43*q^408+101478*p^41*q^410 +4848*p^39*q^412+60*p^37*q^414+356*p^48*q^402+23952*p^46*q^404+389578*p^44*q^ 406+366975*p^42*q^408+27500*p^40*q^410+728*p^38*q^412+4*p^36*q^414+4514*p^47*q^ 402+100572*p^45*q^404+640816*p^43*q^406+131560*p^41*q^408+5880*p^39*q^410+24*p^ 37*q^412+94*p^48*q^400+18838*p^46*q^402+343637*p^44*q^404+445886*p^42*q^406+ 31725*p^40*q^408+1348*p^38*q^410+16*p^36*q^412+20*p^49*q^398+3408*p^47*q^400+ 87374*p^45*q^402+606170*p^43*q^404+169160*p^41*q^406+7620*p^39*q^408+104*p^37*q ^410+28*p^48*q^398+15724*p^46*q^400+298376*p^44*q^402+492008*p^42*q^404+44520*p ^40*q^406+1850*p^38*q^408+4*p^49*q^396+1320*p^47*q^398+62684*p^45*q^400+638845* p^43*q^402+208084*p^41*q^404+11307*p^39*q^406+220*p^37*q^408+2*p^35*q^410+148*p ^48*q^396+13798*p^46*q^398+263269*p^44*q^400+583110*p^42*q^402+55626*p^40*q^404 +1484*p^38*q^406+8*p^36*q^408+8*p^49*q^394+788*p^47*q^396+56484*p^45*q^398+ 557392*p^43*q^400+259562*p^41*q^402+11906*p^39*q^404+620*p^37*q^406+60*p^48*q^ 394+9600*p^46*q^396+209296*p^44*q^398+627786*p^42*q^400+76242*p^40*q^402+3755*p ^38*q^404+12*p^36*q^406+4*p^49*q^392+577*p^47*q^394+42678*p^45*q^396+574426*p^ 43*q^398+305862*p^41*q^400+16666*p^39*q^402+244*p^37*q^404+64*p^48*q^392+6292*p ^46*q^394+175408*p^44*q^396+688724*p^42*q^398+97111*p^40*q^400+3556*p^38*q^402+ 124*p^36*q^404+596*p^47*q^392+37341*p^45*q^394+499402*p^43*q^396+390596*p^41*q^ 398+21316*p^39*q^400+765*p^37*q^402+60*p^48*q^390+3491*p^46*q^392+151112*p^44*q ^394+687137*p^42*q^396+125298*p^40*q^398+4904*p^38*q^400+96*p^36*q^402+288*p^47 *q^390+29000*p^45*q^392+453821*p^43*q^394+453860*p^41*q^396+30172*p^39*q^398+ 1138*p^37*q^400+8*p^35*q^402+12*p^48*q^388+3368*p^46*q^390+112181*p^44*q^392+ 771324*p^42*q^394+149730*p^40*q^396+5272*p^38*q^398+61*p^36*q^400+456*p^47*q^ 388+20772*p^45*q^390+404562*p^43*q^392+520677*p^41*q^394+39094*p^39*q^396+1634* p^37*q^398+32*p^35*q^400+1696*p^46*q^388+98526*p^44*q^390+696489*p^42*q^392+ 208416*p^40*q^394+7409*p^38*q^396+258*p^36*q^398+168*p^47*q^386+14920*p^45*q^ 388+346995*p^43*q^390+614176*p^41*q^392+53163*p^39*q^394+1630*p^37*q^396+16*p^ 48*q^384+1952*p^46*q^386+81639*p^44*q^388+750076*p^42*q^390+232705*p^40*q^392+ 10656*p^38*q^394+378*p^36*q^396+4*p^34*q^398+36*p^47*q^384+10478*p^45*q^386+ 281574*p^43*q^388+683896*p^41*q^390+66872*p^39*q^392+1316*p^37*q^394+30*p^35*q^ 396+1418*p^46*q^384+62104*p^44*q^386+668533*p^42*q^388+317192*p^40*q^390+14728* p^38*q^392+788*p^36*q^394+140*p^47*q^382+7768*p^45*q^384+247034*p^43*q^386+ 730746*p^41*q^388+83399*p^39*q^390+2512*p^37*q^392+28*p^35*q^394+632*p^46*q^382 +47734*p^44*q^384+668158*p^42*q^386+369192*p^40*q^388+20584*p^38*q^390+231*p^36 *q^392+28*p^47*q^380+7068*p^45*q^382+202722*p^43*q^384+801818*p^41*q^386+107586 *p^39*q^388+3116*p^37*q^390+268*p^35*q^392+660*p^46*q^380+34428*p^44*q^382+ 563298*p^42*q^384+466456*p^40*q^386+24984*p^38*q^388+404*p^36*q^390+4428*p^45*q ^380+174096*p^43*q^382+822790*p^41*q^384+145752*p^39*q^386+5806*p^37*q^388+138* p^35*q^390+2*p^48*q^376+404*p^46*q^378+27444*p^44*q^380+524986*p^42*q^382+ 518206*p^40*q^384+30724*p^38*q^386+564*p^36*q^388+36*p^34*q^390+3804*p^45*q^378 +132960*p^43*q^380+896648*p^41*q^382+178466*p^39*q^384+6633*p^37*q^386+32*p^35* q^388+8*p^48*q^374+108*p^46*q^376+21018*p^44*q^378+444776*p^42*q^380+607356*p^ 40*q^382+43356*p^38*q^384+1280*p^36*q^386+75*p^34*q^388+14*p^47*q^374+2332*p^45 *q^376+104511*p^43*q^378+829218*p^41*q^380+248234*p^39*q^382+7868*p^37*q^384+80 *p^35*q^386+52*p^46*q^374+18106*p^44*q^376+411524*p^42*q^378+702234*p^40*q^380+ 54156*p^38*q^382+1664*p^36*q^384+74*p^47*q^372+1342*p^45*q^374+82880*p^43*q^376 +835894*p^41*q^378+268086*p^39*q^380+12044*p^37*q^382+176*p^35*q^384+20*p^33*q^ 386+34*p^46*q^372+12288*p^44*q^374+322170*p^42*q^376+817674*p^40*q^378+81232*p^ 38*q^380+1536*p^36*q^382+8*p^34*q^384+6*p^47*q^370+832*p^45*q^372+65395*p^43*q^ 374+775798*p^41*q^376+354082*p^39*q^378+13766*p^37*q^380+444*p^35*q^382+272*p^ 46*q^370+8308*p^44*q^372+287048*p^42*q^374+834818*p^40*q^376+97646*p^38*q^378+ 3084*p^36*q^380+8*p^34*q^382+2*p^32*q^384+16*p^47*q^368+274*p^45*q^370+53738*p^ 43*q^372+741714*p^41*q^374+419716*p^39*q^376+20924*p^37*q^378+158*p^35*q^380+ 148*p^46*q^368+6364*p^44*q^370+217357*p^42*q^372+950200*p^40*q^374+124652*p^38* q^376+3600*p^36*q^378+88*p^34*q^380+588*p^45*q^368+39008*p^43*q^370+660572*p^41 *q^372+523836*p^39*q^374+28092*p^37*q^376+524*p^35*q^378+140*p^46*q^366+3466*p^ 44*q^368+188118*p^42*q^370+931668*p^40*q^372+160450*p^38*q^374+4760*p^36*q^376+ 20*p^34*q^378+844*p^45*q^366+31656*p^43*q^368+609473*p^41*q^370+597062*p^39*q^ 372+36066*p^37*q^374+932*p^35*q^376+8*p^33*q^378+30*p^46*q^364+1992*p^44*q^366+ 142776*p^42*q^368+991948*p^40*q^370+195390*p^38*q^372+7124*p^36*q^374+32*p^34*q ^376+608*p^45*q^364+22298*p^43*q^366+501844*p^41*q^368+732325*p^39*q^370+49630* p^37*q^372+1168*p^35*q^374+2*p^33*q^376+2732*p^44*q^364+120900*p^42*q^366+ 956854*p^40*q^368+257420*p^38*q^370+7402*p^36*q^372+148*p^34*q^374+518*p^45*q^ 362+14398*p^43*q^364+446052*p^41*q^366+775480*p^39*q^368+63450*p^37*q^370+1808* p^35*q^372+4*p^46*q^360+1960*p^44*q^362+92887*p^42*q^364+968516*p^40*q^366+ 315706*p^38*q^368+13298*p^36*q^370+224*p^34*q^372+48*p^45*q^360+10536*p^43*q^ 362+360810*p^41*q^364+917814*p^39*q^366+79612*p^37*q^368+1230*p^35*q^370+12*p^ 33*q^372+2668*p^44*q^360+73852*p^42*q^362+879050*p^40*q^364+402284*p^38*q^366+ 16260*p^36*q^368+532*p^34*q^370+84*p^45*q^358+7944*p^43*q^360+312590*p^41*q^362 +938300*p^39*q^364+101560*p^37*q^366+2570*p^35*q^368+14*p^33*q^370+1128*p^44*q^ 358+53644*p^42*q^360+833456*p^40*q^362+475023*p^38*q^364+24388*p^36*q^366+284*p ^34*q^368+4*p^47*q^354+8*p^45*q^356+7919*p^43*q^358+245412*p^41*q^360+1086751*p ^39*q^362+135594*p^37*q^364+3218*p^35*q^366+116*p^33*q^368+742*p^44*q^356+39064 *p^42*q^358+739351*p^40*q^360+576348*p^38*q^362+27962*p^36*q^364+300*p^34*q^366 +6528*p^43*q^356+214989*p^41*q^358+1036766*p^39*q^360+177182*p^37*q^362+5726*p^ 35*q^364+108*p^33*q^366+32*p^46*q^352+294*p^44*q^354+28692*p^42*q^356+656242*p^ 40*q^358+675902*p^38*q^360+37332*p^36*q^362+572*p^34*q^364+8*p^32*q^366+4338*p^ 43*q^354+157184*p^41*q^356+1144185*p^39*q^358+215554*p^37*q^360+8046*p^35*q^362 +8*p^33*q^364+12*p^46*q^350+52*p^44*q^352+25162*p^42*q^354+570524*p^40*q^356+ 789314*p^38*q^358+49525*p^36*q^360+810*p^34*q^362+32*p^32*q^364+88*p^45*q^350+ 3348*p^43*q^352+129220*p^41*q^354+1049654*p^39*q^356+287037*p^37*q^358+8810*p^ 35*q^360+88*p^33*q^362+64*p^44*q^350+17832*p^42*q^352+491092*p^40*q^354+877441* p^38*q^356+67898*p^36*q^358+1766*p^34*q^360+148*p^45*q^348+970*p^43*q^350+98296 *p^41*q^352+1087884*p^39*q^354+339748*p^37*q^356+13157*p^35*q^358+76*p^33*q^360 +4*p^31*q^362+124*p^44*q^348+16484*p^42*q^350+410226*p^40*q^352+1013016*p^38*q^ 354+83923*p^36*q^356+1812*p^34*q^358+8*p^32*q^360+12*p^45*q^346+832*p^43*q^348+ 72936*p^41*q^350+956874*p^39*q^352+433905*p^37*q^354+17204*p^35*q^356+252*p^33* q^358+528*p^44*q^346+9846*p^42*q^348+351298*p^40*q^350+1056764*p^38*q^352+ 110474*p^36*q^354+3206*p^34*q^356+4*p^32*q^358+4*p^45*q^344+396*p^43*q^346+ 59124*p^41*q^348+924932*p^39*q^350+516412*p^37*q^352+23850*p^35*q^354+252*p^33* q^356+292*p^44*q^344+6504*p^42*q^346+268578*p^40*q^348+1199878*p^38*q^350+ 139604*p^36*q^352+3582*p^34*q^354+20*p^32*q^356+1024*p^43*q^344+49478*p^41*q^ 346+813722*p^39*q^348+624188*p^37*q^350+28118*p^35*q^352+532*p^33*q^354+88*p^44 *q^342+3616*p^42*q^344+220068*p^40*q^346+1145032*p^38*q^348+193048*p^36*q^350+ 6784*p^34*q^352+24*p^32*q^354+1320*p^43*q^342+34234*p^41*q^344+754281*p^39*q^ 346+741906*p^37*q^348+37432*p^35*q^350+650*p^33*q^352+16*p^44*q^340+3204*p^42*q ^342+173870*p^40*q^344+1236204*p^38*q^346+221650*p^36*q^348+7136*p^34*q^350+38* p^32*q^352+780*p^43*q^340+24872*p^41*q^342+619026*p^39*q^344+865607*p^37*q^346+ 51722*p^35*q^348+1506*p^33*q^350+4*p^44*q^338+3048*p^42*q^340+142572*p^40*q^342 +1154449*p^38*q^344+307992*p^36*q^346+8664*p^34*q^348+84*p^32*q^350+404*p^43*q^ 338+16694*p^41*q^340+537335*p^39*q^342+962416*p^37*q^344+67290*p^35*q^346+2032* p^33*q^348+4*p^44*q^336+3176*p^42*q^338+111252*p^40*q^340+1213090*p^38*q^342+ 354813*p^36*q^344+13052*p^34*q^346+194*p^32*q^348+72*p^43*q^336+13048*p^41*q^ 338+443342*p^39*q^340+1081426*p^37*q^342+88582*p^35*q^344+1696*p^33*q^346+8*p^ 31*q^348+2*p^46*q^332+2520*p^42*q^336+79430*p^40*q^338+1043448*p^38*q^340+ 475644*p^36*q^342+15872*p^34*q^344+556*p^32*q^346+84*p^43*q^334+9654*p^41*q^336 +382959*p^39*q^338+1158332*p^37*q^340+111528*p^35*q^342+3390*p^33*q^344+8*p^31* q^346+1144*p^42*q^334+64693*p^40*q^336+1021422*p^38*q^338+542503*p^36*q^340+ 22096*p^34*q^342+234*p^32*q^344+21*p^45*q^330+26*p^43*q^332+9376*p^41*q^334+ 291578*p^39*q^336+1284849*p^37*q^338+146352*p^35*q^340+3648*p^33*q^342+100*p^31 *q^344+778*p^42*q^332+45382*p^40*q^334+878484*p^38*q^336+675558*p^36*q^338+ 29630*p^34*q^340+676*p^32*q^342+6*p^43*q^330+6166*p^41*q^332+248318*p^39*q^334+ 1263032*p^37*q^336+198160*p^35*q^338+5222*p^33*q^340+24*p^31*q^342+83*p^44*q^ 328+468*p^42*q^330+35534*p^40*q^332+818826*p^38*q^334+771299*p^36*q^336+35814*p ^34*q^338+948*p^32*q^340+8*p^30*q^342+16*p^43*q^328+4950*p^41*q^330+187984*p^39 *q^332+1324342*p^37*q^334+235648*p^35*q^336+6717*p^33*q^338+64*p^31*q^340+32*p^ 44*q^326+152*p^42*q^328+25642*p^40*q^330+672196*p^38*q^332+943526*p^36*q^334+ 52714*p^34*q^336+1510*p^32*q^338+2*p^30*q^340+158*p^43*q^326+3456*p^41*q^328+ 150918*p^39*q^330+1260312*p^37*q^332+310962*p^35*q^334+7450*p^33*q^336+204*p^31 *q^338+148*p^42*q^326+21252*p^40*q^328+592962*p^38*q^330+1015878*p^36*q^332+ 68710*p^34*q^334+1668*p^32*q^336+236*p^43*q^324+1814*p^41*q^326+113644*p^39*q^ 328+1293895*p^37*q^330+376046*p^35*q^332+12244*p^33*q^334+328*p^31*q^336+231*p^ 42*q^324+16312*p^40*q^326+478468*p^38*q^328+1159020*p^36*q^330+88620*p^34*q^332 +1204*p^32*q^334+24*p^30*q^336+28*p^43*q^322+1098*p^41*q^324+86082*p^39*q^326+ 1137004*p^37*q^328+504039*p^35*q^330+15254*p^33*q^332+724*p^31*q^334+668*p^42*q ^322+11642*p^40*q^324+410950*p^38*q^326+1225431*p^36*q^328+108342*p^34*q^330+ 2372*p^32*q^332+24*p^30*q^334+28*p^43*q^320+858*p^41*q^322+68850*p^39*q^324+ 1100341*p^37*q^326+558996*p^35*q^328+23632*p^33*q^330+246*p^31*q^332+294*p^42*q ^320+7740*p^40*q^322+312512*p^38*q^324+1359018*p^36*q^326+156606*p^34*q^328+ 2792*p^32*q^330+250*p^30*q^332+1366*p^41*q^320+50151*p^39*q^322+955450*p^37*q^ 324+716351*p^35*q^326+27178*p^33*q^328+262*p^31*q^330+242*p^42*q^318+5011*p^40* q^320+277724*p^38*q^322+1339450*p^36*q^324+195064*p^34*q^326+4756*p^32*q^328+ 136*p^30*q^330+1106*p^41*q^318+39218*p^39*q^320+847622*p^37*q^322+800472*p^35*q ^324+37467*p^33*q^326+520*p^31*q^328+34*p^29*q^330+62*p^42*q^316+4648*p^40*q^ 318+190939*p^38*q^320+1455334*p^36*q^322+247828*p^34*q^324+7124*p^32*q^326+8*p^ 30*q^328+980*p^41*q^316+27356*p^39*q^318+746790*p^37*q^320+957906*p^35*q^322+ 48990*p^33*q^324+656*p^31*q^326+74*p^29*q^328+4*p^42*q^314+3848*p^40*q^316+ 161990*p^38*q^318+1312031*p^36*q^320+326738*p^34*q^322+8023*p^32*q^324+88*p^30* q^326+647*p^41*q^314+20794*p^39*q^316+641442*p^37*q^318+1071670*p^35*q^320+ 66562*p^33*q^322+1340*p^31*q^324+32*p^42*q^312+2716*p^40*q^314+119930*p^38*q^ 316+1351606*p^36*q^318+382243*p^34*q^320+12212*p^32*q^322+68*p^30*q^324+20*p^28 *q^326+140*p^41*q^312+17045*p^39*q^314+509576*p^37*q^316+1241858*p^35*q^318+ 91124*p^33*q^320+1428*p^31*q^322+8*p^29*q^324+4*p^42*q^310+2823*p^40*q^312+ 93276*p^38*q^314+1227210*p^36*q^316+489882*p^34*q^318+13520*p^32*q^320+164*p^30 *q^322+328*p^41*q^310+11902*p^39*q^312+435883*p^37*q^314+1255024*p^35*q^316+ 116746*p^33*q^318+3190*p^31*q^320+4*p^29*q^322+2*p^27*q^324+8*p^42*q^308+1270*p ^40*q^310+69266*p^38*q^312+1159564*p^36*q^314+586386*p^34*q^316+21080*p^32*q^ 318+120*p^30*q^320+80*p^41*q^308+9475*p^39*q^310+336158*p^37*q^312+1443582*p^35 *q^314+152632*p^33*q^316+3114*p^31*q^318+12*p^29*q^320+1600*p^40*q^308+57654*p^ 38*q^310+1025110*p^36*q^312+718744*p^34*q^314+25536*p^32*q^316+504*p^30*q^318+ 92*p^41*q^306+6398*p^39*q^308+279812*p^37*q^310+1377254*p^35*q^312+196274*p^33* q^314+4528*p^31*q^316+8*p^29*q^318+820*p^40*q^306+40418*p^38*q^308+914804*p^36* q^310+843240*p^34*q^312+38978*p^32*q^314+914*p^30*q^316+8*p^41*q^304+5944*p^39* q^306+206794*p^37*q^308+1513787*p^35*q^310+238206*p^33*q^312+5118*p^31*q^314+20 *p^29*q^316+570*p^40*q^304+30122*p^38*q^306+781932*p^36*q^308+981636*p^34*q^310 +50383*p^32*q^312+1124*p^30*q^314+20*p^41*q^302+4524*p^39*q^304+174162*p^37*q^ 306+1372810*p^35*q^308+330154*p^33*q^310+6748*p^31*q^312+152*p^29*q^314+332*p^ 40*q^302+22922*p^38*q^304+662908*p^36*q^306+1101441*p^34*q^308+66892*p^32*q^310 +1334*p^30*q^312+8*p^41*q^300+2518*p^39*q^302+127690*p^37*q^304+1437265*p^35*q^ 306+382212*p^33*q^308+10676*p^31*q^310+236*p^29*q^312+190*p^40*q^300+19008*p^38 *q^302+541984*p^36*q^304+1253952*p^34*q^306+87833*p^32*q^308+850*p^30*q^310+12* p^28*q^312+2864*p^39*q^300+101314*p^37*q^302+1271456*p^35*q^304+494759*p^33*q^ 306+14620*p^31*q^308+476*p^29*q^310+160*p^40*q^298+11573*p^38*q^300+453384*p^36 *q^302+1292072*p^34*q^304+117258*p^32*q^306+1723*p^30*q^308+16*p^28*q^310+1182* p^39*q^298+76512*p^37*q^300+1227594*p^35*q^302+597582*p^33*q^304+20918*p^31*q^ 306+166*p^29*q^308+20*p^40*q^296+11852*p^38*q^298+356723*p^36*q^300+1475822*p^ 34*q^302+139470*p^32*q^304+2118*p^30*q^306+112*p^28*q^308+1324*p^39*q^296+56716 *p^37*q^298+1050882*p^35*q^300+720078*p^33*q^302+29932*p^31*q^304+196*p^29*q^ 306+7199*p^38*q^296+297188*p^36*q^298+1431132*p^34*q^300+198408*p^32*q^302+4328 *p^30*q^304+92*p^28*q^306+2*p^41*q^292+532*p^39*q^294+42754*p^37*q^296+958352*p ^35*q^298+841214*p^33*q^300+34414*p^31*q^302+196*p^29*q^304+8*p^27*q^306+6472*p ^38*q^294+227988*p^36*q^296+1543874*p^34*q^298+237605*p^32*q^300+6232*p^30*q^ 302+12*p^28*q^304+8*p^41*q^290+152*p^39*q^292+33647*p^37*q^294+792276*p^35*q^ 296+987120*p^33*q^298+47632*p^31*q^300+626*p^29*q^302+32*p^27*q^304+32*p^40*q^ 290+4684*p^38*q^292+175078*p^36*q^294+1439613*p^34*q^296+326434*p^32*q^298+8134 *p^30*q^300+8*p^28*q^302+56*p^39*q^290+25818*p^37*q^292+711327*p^35*q^294+ 1096182*p^33*q^296+64038*p^31*q^298+1012*p^29*q^300+72*p^40*q^288+1980*p^38*q^ 290+135305*p^36*q^292+1453404*p^34*q^294+376728*p^32*q^296+10634*p^30*q^298+40* p^28*q^300+4*p^26*q^302+192*p^39*q^288+21984*p^37*q^290+569958*p^35*q^292+ 1273552*p^33*q^294+83864*p^31*q^296+1462*p^29*q^298+8*p^40*q^286+1240*p^38*q^ 288+102876*p^36*q^290+1286071*p^34*q^292+491458*p^32*q^294+14697*p^30*q^296+174 *p^28*q^298+288*p^39*q^286+13946*p^37*q^288+475432*p^35*q^290+1334424*p^33*q^ 292+111586*p^31*q^294+2444*p^29*q^296+8*p^40*q^284+868*p^38*q^286+84824*p^36*q^ 288+1273068*p^34*q^290+568200*p^32*q^292+17880*p^30*q^294+92*p^28*q^296+166*p^ 39*q^284+10178*p^37*q^286+362894*p^35*q^288+1457046*p^33*q^290+146390*p^31*q^ 292+3153*p^29*q^294+16*p^27*q^296+1078*p^38*q^284+62682*p^36*q^286+1084410*p^34 *q^288+733954*p^32*q^290+25166*p^30*q^292+460*p^28*q^294+80*p^39*q^282+5652*p^ 37*q^284+313664*p^35*q^286+1449858*p^33*q^288+187672*p^31*q^290+3774*p^29*q^292 +4*p^27*q^294+936*p^38*q^282+48952*p^36*q^284+986840*p^34*q^286+820887*p^32*q^ 288+34310*p^30*q^290+588*p^28*q^292+40*p^39*q^280+5014*p^37*q^282+229638*p^35*q ^284+1549608*p^33*q^286+229638*p^31*q^288+5014*p^29*q^290+40*p^27*q^292+588*p^ 38*q^280+34310*p^36*q^282+820887*p^34*q^284+986840*p^32*q^286+48952*p^30*q^288+ 936*p^28*q^290+4*p^39*q^278+3774*p^37*q^280+187672*p^35*q^282+1449858*p^33*q^ 284+313664*p^31*q^286+5652*p^29*q^288+80*p^27*q^290+460*p^38*q^278+25166*p^36*q ^280+733954*p^34*q^282+1084410*p^32*q^284+62682*p^30*q^286+1078*p^28*q^288+16*p ^39*q^276+3153*p^37*q^278+146390*p^35*q^280+1457046*p^33*q^282+362894*p^31*q^ 284+10178*p^29*q^286+166*p^27*q^288+92*p^38*q^276+17880*p^36*q^278+568200*p^34* q^280+1273068*p^32*q^282+84824*p^30*q^284+868*p^28*q^286+8*p^26*q^288+2444*p^37 *q^276+111586*p^35*q^278+1334424*p^33*q^280+475432*p^31*q^282+13946*p^29*q^284+ 288*p^27*q^286+174*p^38*q^274+14697*p^36*q^276+491458*p^34*q^278+1286071*p^32*q ^280+102876*p^30*q^282+1240*p^28*q^284+8*p^26*q^286+1462*p^37*q^274+83864*p^35* q^276+1273552*p^33*q^278+569958*p^31*q^280+21984*p^29*q^282+192*p^27*q^284+4*p^ 40*q^270+40*p^38*q^272+10634*p^36*q^274+376728*p^34*q^276+1453404*p^32*q^278+ 135305*p^30*q^280+1980*p^28*q^282+72*p^26*q^284+1012*p^37*q^272+64038*p^35*q^ 274+1096182*p^33*q^276+711327*p^31*q^278+25818*p^29*q^280+56*p^27*q^282+8*p^38* q^270+8134*p^36*q^272+326434*p^34*q^274+1439613*p^32*q^276+175078*p^30*q^278+ 4684*p^28*q^280+32*p^26*q^282+32*p^39*q^268+626*p^37*q^270+47632*p^35*q^272+ 987120*p^33*q^274+792276*p^31*q^276+33647*p^29*q^278+152*p^27*q^280+8*p^25*q^ 282+12*p^38*q^268+6232*p^36*q^270+237605*p^34*q^272+1543874*p^32*q^274+227988*p ^30*q^276+6472*p^28*q^278+8*p^39*q^266+196*p^37*q^268+34414*p^35*q^270+841214*p ^33*q^272+958352*p^31*q^274+42754*p^29*q^276+532*p^27*q^278+2*p^25*q^280+92*p^ 38*q^266+4328*p^36*q^268+198408*p^34*q^270+1431132*p^32*q^272+297188*p^30*q^274 +7199*p^28*q^276+196*p^37*q^266+29932*p^35*q^268+720078*p^33*q^270+1050882*p^31 *q^272+56716*p^29*q^274+1324*p^27*q^276+112*p^38*q^264+2118*p^36*q^266+139470*p ^34*q^268+1475822*p^32*q^270+356723*p^30*q^272+11852*p^28*q^274+20*p^26*q^276+ 166*p^37*q^264+20918*p^35*q^266+597582*p^33*q^268+1227594*p^31*q^270+76512*p^29 *q^272+1182*p^27*q^274+16*p^38*q^262+1723*p^36*q^264+117258*p^34*q^266+1292072* p^32*q^268+453384*p^30*q^270+11573*p^28*q^272+160*p^26*q^274+476*p^37*q^262+ 14620*p^35*q^264+494759*p^33*q^266+1271456*p^31*q^268+101314*p^29*q^270+2864*p^ 27*q^272+12*p^38*q^260+850*p^36*q^262+87833*p^34*q^264+1253952*p^32*q^266+ 541984*p^30*q^268+19008*p^28*q^270+190*p^26*q^272+236*p^37*q^260+10676*p^35*q^ 262+382212*p^33*q^264+1437265*p^31*q^266+127690*p^29*q^268+2518*p^27*q^270+8*p^ 25*q^272+1334*p^36*q^260+66892*p^34*q^262+1101441*p^32*q^264+662908*p^30*q^266+ 22922*p^28*q^268+332*p^26*q^270+152*p^37*q^258+6748*p^35*q^260+330154*p^33*q^ 262+1372810*p^31*q^264+174162*p^29*q^266+4524*p^27*q^268+20*p^25*q^270+1124*p^ 36*q^258+50383*p^34*q^260+981636*p^32*q^262+781932*p^30*q^264+30122*p^28*q^266+ 570*p^26*q^268+20*p^37*q^256+5118*p^35*q^258+238206*p^33*q^260+1513787*p^31*q^ 262+206794*p^29*q^264+5944*p^27*q^266+8*p^25*q^268+914*p^36*q^256+38978*p^34*q^ 258+843240*p^32*q^260+914804*p^30*q^262+40418*p^28*q^264+820*p^26*q^266+8*p^37* q^254+4528*p^35*q^256+196274*p^33*q^258+1377254*p^31*q^260+279812*p^29*q^262+ 6398*p^27*q^264+92*p^25*q^266+504*p^36*q^254+25536*p^34*q^256+718744*p^32*q^258 +1025110*p^30*q^260+57654*p^28*q^262+1600*p^26*q^264+12*p^37*q^252+3114*p^35*q^ 254+152632*p^33*q^256+1443582*p^31*q^258+336158*p^29*q^260+9475*p^27*q^262+80*p ^25*q^264+120*p^36*q^252+21080*p^34*q^254+586386*p^32*q^256+1159564*p^30*q^258+ 69266*p^28*q^260+1270*p^26*q^262+8*p^24*q^264+2*p^39*q^248+4*p^37*q^250+3190*p^ 35*q^252+116746*p^33*q^254+1255024*p^31*q^256+435883*p^29*q^258+11902*p^27*q^ 260+328*p^25*q^262+164*p^36*q^250+13520*p^34*q^252+489882*p^32*q^254+1227210*p^ 30*q^256+93276*p^28*q^258+2823*p^26*q^260+4*p^24*q^262+8*p^37*q^248+1428*p^35*q ^250+91124*p^33*q^252+1241858*p^31*q^254+509576*p^29*q^256+17045*p^27*q^258+140 *p^25*q^260+20*p^38*q^246+68*p^36*q^248+12212*p^34*q^250+382243*p^32*q^252+ 1351606*p^30*q^254+119930*p^28*q^256+2716*p^26*q^258+32*p^24*q^260+1340*p^35*q^ 248+66562*p^33*q^250+1071670*p^31*q^252+641442*p^29*q^254+20794*p^27*q^256+647* p^25*q^258+88*p^36*q^246+8023*p^34*q^248+326738*p^32*q^250+1312031*p^30*q^252+ 161990*p^28*q^254+3848*p^26*q^256+4*p^24*q^258+74*p^37*q^244+656*p^35*q^246+ 48990*p^33*q^248+957906*p^31*q^250+746790*p^29*q^252+27356*p^27*q^254+980*p^25* q^256+8*p^36*q^244+7124*p^34*q^246+247828*p^32*q^248+1455334*p^30*q^250+190939* p^28*q^252+4648*p^26*q^254+62*p^24*q^256+34*p^37*q^242+520*p^35*q^244+37467*p^ 33*q^246+800472*p^31*q^248+847622*p^29*q^250+39218*p^27*q^252+1106*p^25*q^254+ 136*p^36*q^242+4756*p^34*q^244+195064*p^32*q^246+1339450*p^30*q^248+277724*p^28 *q^250+5011*p^26*q^252+242*p^24*q^254+262*p^35*q^242+27178*p^33*q^244+716351*p^ 31*q^246+955450*p^29*q^248+50151*p^27*q^250+1366*p^25*q^252+250*p^36*q^240+2792 *p^34*q^242+156606*p^32*q^244+1359018*p^30*q^246+312512*p^28*q^248+7740*p^26*q^ 250+294*p^24*q^252+246*p^35*q^240+23632*p^33*q^242+558996*p^31*q^244+1100341*p^ 29*q^246+68850*p^27*q^248+858*p^25*q^250+28*p^23*q^252+24*p^36*q^238+2372*p^34* q^240+108342*p^32*q^242+1225431*p^30*q^244+410950*p^28*q^246+11642*p^26*q^248+ 668*p^24*q^250+724*p^35*q^238+15254*p^33*q^240+504039*p^31*q^242+1137004*p^29*q ^244+86082*p^27*q^246+1098*p^25*q^248+28*p^23*q^250+24*p^36*q^236+1204*p^34*q^ 238+88620*p^32*q^240+1159020*p^30*q^242+478468*p^28*q^244+16312*p^26*q^246+231* p^24*q^248+328*p^35*q^236+12244*p^33*q^238+376046*p^31*q^240+1293895*p^29*q^242 +113644*p^27*q^244+1814*p^25*q^246+236*p^23*q^248+1668*p^34*q^236+68710*p^32*q^ 238+1015878*p^30*q^240+592962*p^28*q^242+21252*p^26*q^244+148*p^24*q^246+204*p^ 35*q^234+7450*p^33*q^236+310962*p^31*q^238+1260312*p^29*q^240+150918*p^27*q^242 +3456*p^25*q^244+158*p^23*q^246+2*p^36*q^232+1510*p^34*q^234+52714*p^32*q^236+ 943526*p^30*q^238+672196*p^28*q^240+25642*p^26*q^242+152*p^24*q^244+32*p^22*q^ 246+64*p^35*q^232+6717*p^33*q^234+235648*p^31*q^236+1324342*p^29*q^238+187984*p ^27*q^240+4950*p^25*q^242+16*p^23*q^244+8*p^36*q^230+948*p^34*q^232+35814*p^32* q^234+771299*p^30*q^236+818826*p^28*q^238+35534*p^26*q^240+468*p^24*q^242+83*p^ 22*q^244+24*p^35*q^230+5222*p^33*q^232+198160*p^31*q^234+1263032*p^29*q^236+ 248318*p^27*q^238+6166*p^25*q^240+6*p^23*q^242+676*p^34*q^230+29630*p^32*q^232+ 675558*p^30*q^234+878484*p^28*q^236+45382*p^26*q^238+778*p^24*q^240+100*p^35*q^ 228+3648*p^33*q^230+146352*p^31*q^232+1284849*p^29*q^234+291578*p^27*q^236+9376 *p^25*q^238+26*p^23*q^240+21*p^21*q^242+234*p^34*q^228+22096*p^32*q^230+542503* p^30*q^232+1021422*p^28*q^234+64693*p^26*q^236+1144*p^24*q^238+8*p^35*q^226+ 3390*p^33*q^228+111528*p^31*q^230+1158332*p^29*q^232+382959*p^27*q^234+9654*p^ 25*q^236+84*p^23*q^238+556*p^34*q^226+15872*p^32*q^228+475644*p^30*q^230+ 1043448*p^28*q^232+79430*p^26*q^234+2520*p^24*q^236+2*p^20*q^240+8*p^35*q^224+ 1696*p^33*q^226+88582*p^31*q^228+1081426*p^29*q^230+443342*p^27*q^232+13048*p^ 25*q^234+72*p^23*q^236+194*p^34*q^224+13052*p^32*q^226+354813*p^30*q^228+ 1213090*p^28*q^230+111252*p^26*q^232+3176*p^24*q^234+4*p^22*q^236+2032*p^33*q^ 224+67290*p^31*q^226+962416*p^29*q^228+537335*p^27*q^230+16694*p^25*q^232+404*p ^23*q^234+84*p^34*q^222+8664*p^32*q^224+307992*p^30*q^226+1154449*p^28*q^228+ 142572*p^26*q^230+3048*p^24*q^232+4*p^22*q^234+1506*p^33*q^222+51722*p^31*q^224 +865607*p^29*q^226+619026*p^27*q^228+24872*p^25*q^230+780*p^23*q^232+38*p^34*q^ 220+7136*p^32*q^222+221650*p^30*q^224+1236204*p^28*q^226+173870*p^26*q^228+3204 *p^24*q^230+16*p^22*q^232+650*p^33*q^220+37432*p^31*q^222+741906*p^29*q^224+ 754281*p^27*q^226+34234*p^25*q^228+1320*p^23*q^230+24*p^34*q^218+6784*p^32*q^ 220+193048*p^30*q^222+1145032*p^28*q^224+220068*p^26*q^226+3616*p^24*q^228+88*p ^22*q^230+532*p^33*q^218+28118*p^31*q^220+624188*p^29*q^222+813722*p^27*q^224+ 49478*p^25*q^226+1024*p^23*q^228+20*p^34*q^216+3582*p^32*q^218+139604*p^30*q^ 220+1199878*p^28*q^222+268578*p^26*q^224+6504*p^24*q^226+292*p^22*q^228+252*p^ 33*q^216+23850*p^31*q^218+516412*p^29*q^220+924932*p^27*q^222+59124*p^25*q^224+ 396*p^23*q^226+4*p^21*q^228+4*p^34*q^214+3206*p^32*q^216+110474*p^30*q^218+ 1056764*p^28*q^220+351298*p^26*q^222+9846*p^24*q^224+528*p^22*q^226+252*p^33*q^ 214+17204*p^31*q^216+433905*p^29*q^218+956874*p^27*q^220+72936*p^25*q^222+832*p ^23*q^224+12*p^21*q^226+8*p^34*q^212+1812*p^32*q^214+83923*p^30*q^216+1013016*p ^28*q^218+410226*p^26*q^220+16484*p^24*q^222+124*p^22*q^224+4*p^35*q^210+76*p^ 33*q^212+13157*p^31*q^214+339748*p^29*q^216+1087884*p^27*q^218+98296*p^25*q^220 +970*p^23*q^222+148*p^21*q^224+1766*p^32*q^212+67898*p^30*q^214+877441*p^28*q^ 216+491092*p^26*q^218+17832*p^24*q^220+64*p^22*q^222+88*p^33*q^210+8810*p^31*q^ 212+287037*p^29*q^214+1049654*p^27*q^216+129220*p^25*q^218+3348*p^23*q^220+88*p ^21*q^222+32*p^34*q^208+810*p^32*q^210+49525*p^30*q^212+789314*p^28*q^214+ 570524*p^26*q^216+25162*p^24*q^218+52*p^22*q^220+12*p^20*q^222+8*p^33*q^208+ 8046*p^31*q^210+215554*p^29*q^212+1144185*p^27*q^214+157184*p^25*q^216+4338*p^ 23*q^218+8*p^34*q^206+572*p^32*q^208+37332*p^30*q^210+675902*p^28*q^212+656242* p^26*q^214+28692*p^24*q^216+294*p^22*q^218+32*p^20*q^220+108*p^33*q^206+5726*p^ 31*q^208+177182*p^29*q^210+1036766*p^27*q^212+214989*p^25*q^214+6528*p^23*q^216 +300*p^32*q^206+27962*p^30*q^208+576348*p^28*q^210+739351*p^26*q^212+39064*p^24 *q^214+742*p^22*q^216+116*p^33*q^204+3218*p^31*q^206+135594*p^29*q^208+1086751* p^27*q^210+245412*p^25*q^212+7919*p^23*q^214+8*p^21*q^216+4*p^19*q^218+284*p^32 *q^204+24388*p^30*q^206+475023*p^28*q^208+833456*p^26*q^210+53644*p^24*q^212+ 1128*p^22*q^214+14*p^33*q^202+2570*p^31*q^204+101560*p^29*q^206+938300*p^27*q^ 208+312590*p^25*q^210+7944*p^23*q^212+84*p^21*q^214+532*p^32*q^202+16260*p^30*q ^204+402284*p^28*q^206+879050*p^26*q^208+73852*p^24*q^210+2668*p^22*q^212+12*p^ 33*q^200+1230*p^31*q^202+79612*p^29*q^204+917814*p^27*q^206+360810*p^25*q^208+ 10536*p^23*q^210+48*p^21*q^212+224*p^32*q^200+13298*p^30*q^202+315706*p^28*q^ 204+968516*p^26*q^206+92887*p^24*q^208+1960*p^22*q^210+4*p^20*q^212+1808*p^31*q ^200+63450*p^29*q^202+775480*p^27*q^204+446052*p^25*q^206+14398*p^23*q^208+518* p^21*q^210+148*p^32*q^198+7402*p^30*q^200+257420*p^28*q^202+956854*p^26*q^204+ 120900*p^24*q^206+2732*p^22*q^208+2*p^33*q^196+1168*p^31*q^198+49630*p^29*q^200 +732325*p^27*q^202+501844*p^25*q^204+22298*p^23*q^206+608*p^21*q^208+32*p^32*q^ 196+7124*p^30*q^198+195390*p^28*q^200+991948*p^26*q^202+142776*p^24*q^204+1992* p^22*q^206+30*p^20*q^208+8*p^33*q^194+932*p^31*q^196+36066*p^29*q^198+597062*p^ 27*q^200+609473*p^25*q^202+31656*p^23*q^204+844*p^21*q^206+20*p^32*q^194+4760*p ^30*q^196+160450*p^28*q^198+931668*p^26*q^200+188118*p^24*q^202+3466*p^22*q^204 +140*p^20*q^206+524*p^31*q^194+28092*p^29*q^196+523836*p^27*q^198+660572*p^25*q ^200+39008*p^23*q^202+588*p^21*q^204+88*p^32*q^192+3600*p^30*q^194+124652*p^28* q^196+950200*p^26*q^198+217357*p^24*q^200+6364*p^22*q^202+148*p^20*q^204+158*p^ 31*q^192+20924*p^29*q^194+419716*p^27*q^196+741714*p^25*q^198+53738*p^23*q^200+ 274*p^21*q^202+16*p^19*q^204+2*p^34*q^188+8*p^32*q^190+3084*p^30*q^192+97646*p^ 28*q^194+834818*p^26*q^196+287048*p^24*q^198+8308*p^22*q^200+272*p^20*q^202+444 *p^31*q^190+13766*p^29*q^192+354082*p^27*q^194+775798*p^25*q^196+65395*p^23*q^ 198+832*p^21*q^200+6*p^19*q^202+8*p^32*q^188+1536*p^30*q^190+81232*p^28*q^192+ 817674*p^26*q^194+322170*p^24*q^196+12288*p^22*q^198+34*p^20*q^200+20*p^33*q^ 186+176*p^31*q^188+12044*p^29*q^190+268086*p^27*q^192+835894*p^25*q^194+82880*p ^23*q^196+1342*p^21*q^198+74*p^19*q^200+1664*p^30*q^188+54156*p^28*q^190+702234 *p^26*q^192+411524*p^24*q^194+18106*p^22*q^196+52*p^20*q^198+80*p^31*q^186+7868 *p^29*q^188+248234*p^27*q^190+829218*p^25*q^192+104511*p^23*q^194+2332*p^21*q^ 196+14*p^19*q^198+75*p^32*q^184+1280*p^30*q^186+43356*p^28*q^188+607356*p^26*q^ 190+444776*p^24*q^192+21018*p^22*q^194+108*p^20*q^196+8*p^18*q^198+32*p^31*q^ 184+6633*p^29*q^186+178466*p^27*q^188+896648*p^25*q^190+132960*p^23*q^192+3804* p^21*q^194+36*p^32*q^182+564*p^30*q^184+30724*p^28*q^186+518206*p^26*q^188+ 524986*p^24*q^190+27444*p^22*q^192+404*p^20*q^194+2*p^18*q^196+138*p^31*q^182+ 5806*p^29*q^184+145752*p^27*q^186+822790*p^25*q^188+174096*p^23*q^190+4428*p^21 *q^192+404*p^30*q^182+24984*p^28*q^184+466456*p^26*q^186+563298*p^24*q^188+ 34428*p^22*q^190+660*p^20*q^192+268*p^31*q^180+3116*p^29*q^182+107586*p^27*q^ 184+801818*p^25*q^186+202722*p^23*q^188+7068*p^21*q^190+28*p^19*q^192+231*p^30* q^180+20584*p^28*q^182+369192*p^26*q^184+668158*p^24*q^186+47734*p^22*q^188+632 *p^20*q^190+28*p^31*q^178+2512*p^29*q^180+83399*p^27*q^182+730746*p^25*q^184+ 247034*p^23*q^186+7768*p^21*q^188+140*p^19*q^190+788*p^30*q^178+14728*p^28*q^ 180+317192*p^26*q^182+668533*p^24*q^184+62104*p^22*q^186+1418*p^20*q^188+30*p^ 31*q^176+1316*p^29*q^178+66872*p^27*q^180+683896*p^25*q^182+281574*p^23*q^184+ 10478*p^21*q^186+36*p^19*q^188+4*p^32*q^174+378*p^30*q^176+10656*p^28*q^178+ 232705*p^26*q^180+750076*p^24*q^182+81639*p^22*q^184+1952*p^20*q^186+16*p^18*q^ 188+1630*p^29*q^176+53163*p^27*q^178+614176*p^25*q^180+346995*p^23*q^182+14920* p^21*q^184+168*p^19*q^186+258*p^30*q^174+7409*p^28*q^176+208416*p^26*q^178+ 696489*p^24*q^180+98526*p^22*q^182+1696*p^20*q^184+32*p^31*q^172+1634*p^29*q^ 174+39094*p^27*q^176+520677*p^25*q^178+404562*p^23*q^180+20772*p^21*q^182+456*p ^19*q^184+61*p^30*q^172+5272*p^28*q^174+149730*p^26*q^176+771324*p^24*q^178+ 112181*p^22*q^180+3368*p^20*q^182+12*p^18*q^184+8*p^31*q^170+1138*p^29*q^172+ 30172*p^27*q^174+453860*p^25*q^176+453821*p^23*q^178+29000*p^21*q^180+288*p^19* q^182+96*p^30*q^170+4904*p^28*q^172+125298*p^26*q^174+687137*p^24*q^176+151112* p^22*q^178+3491*p^20*q^180+60*p^18*q^182+765*p^29*q^170+21316*p^27*q^172+390596 *p^25*q^174+499402*p^23*q^176+37341*p^21*q^178+596*p^19*q^180+124*p^30*q^168+ 3556*p^28*q^170+97111*p^26*q^172+688724*p^24*q^174+175408*p^22*q^176+6292*p^20* q^178+64*p^18*q^180+244*p^29*q^168+16666*p^27*q^170+305862*p^25*q^172+574426*p^ 23*q^174+42678*p^21*q^176+577*p^19*q^178+4*p^17*q^180+12*p^30*q^166+3755*p^28*q ^168+76242*p^26*q^170+627786*p^24*q^172+209296*p^22*q^174+9600*p^20*q^176+60*p^ 18*q^178+620*p^29*q^166+11906*p^27*q^168+259562*p^25*q^170+557392*p^23*q^172+ 56484*p^21*q^174+788*p^19*q^176+8*p^17*q^178+8*p^30*q^164+1484*p^28*q^166+55626 *p^26*q^168+583110*p^24*q^170+263269*p^22*q^172+13798*p^20*q^174+148*p^18*q^176 +2*p^31*q^162+220*p^29*q^164+11307*p^27*q^166+208084*p^25*q^168+638845*p^23*q^ 170+62684*p^21*q^172+1320*p^19*q^174+4*p^17*q^176+1850*p^28*q^164+44520*p^26*q^ 166+492008*p^24*q^168+298376*p^22*q^170+15724*p^20*q^172+28*p^18*q^174+104*p^29 *q^162+7620*p^27*q^164+169160*p^25*q^166+606170*p^23*q^168+87374*p^21*q^170+ 3408*p^19*q^172+20*p^17*q^174+16*p^30*q^160+1348*p^28*q^162+31725*p^26*q^164+ 445886*p^24*q^166+343637*p^22*q^168+18838*p^20*q^170+94*p^18*q^172+24*p^29*q^ 160+5880*p^27*q^162+131560*p^25*q^164+640816*p^23*q^166+100572*p^21*q^168+4514* p^19*q^170+4*p^30*q^158+728*p^28*q^160+27500*p^26*q^162+366975*p^24*q^164+ 389578*p^22*q^166+23952*p^20*q^168+356*p^18*q^170+60*p^29*q^158+4848*p^27*q^160 +101478*p^25*q^162+577642*p^23*q^164+133724*p^21*q^166+4874*p^19*q^168+408*p^28 *q^158+20036*p^26*q^160+319042*p^24*q^162+429860*p^22*q^164+31798*p^20*q^166+ 1018*p^18*q^168+60*p^29*q^156+3056*p^27*q^158+79660*p^25*q^160+585125*p^23*q^ 162+150214*p^21*q^164+6869*p^19*q^166+8*p^17*q^168+232*p^28*q^156+16026*p^26*q^ 158+259239*p^24*q^160+476838*p^22*q^162+36763*p^20*q^164+984*p^18*q^166+2*p^31* q^152+6*p^29*q^154+2596*p^27*q^156+63248*p^25*q^158+492492*p^23*q^160+187541*p^ 21*q^162+8990*p^19*q^164+110*p^17*q^166+308*p^28*q^154+10289*p^26*q^156+208536* p^24*q^158+500432*p^22*q^160+47822*p^20*q^162+1747*p^18*q^164+4*p^29*q^152+1292 *p^27*q^154+50952*p^25*q^156+486276*p^23*q^158+214298*p^21*q^160+11604*p^19*q^ 162+192*p^17*q^164+20*p^30*q^150+120*p^28*q^152+9738*p^26*q^154+165994*p^24*q^ 156+516428*p^22*q^158+56826*p^20*q^160+1752*p^18*q^162+4*p^16*q^164+1232*p^27*q ^152+35463*p^25*q^154+397786*p^23*q^156+268192*p^21*q^158+13884*p^19*q^160+247* p^17*q^162+52*p^28*q^150+5950*p^26*q^152+141394*p^24*q^154+509490*p^22*q^156+ 74456*p^20*q^158+3738*p^18*q^160+24*p^16*q^162+74*p^29*q^148+810*p^27*q^150+ 28436*p^25*q^152+360098*p^23*q^154+289476*p^21*q^156+15266*p^19*q^158+224*p^17* q^160+12*p^28*q^148+4888*p^26*q^150+106526*p^24*q^152+523374*p^22*q^154+88230*p ^20*q^156+4672*p^18*q^158+14*p^16*q^160+32*p^29*q^146+424*p^27*q^148+21732*p^25 *q^150+292558*p^23*q^152+334208*p^21*q^154+19646*p^19*q^156+702*p^17*q^158+136* p^28*q^146+3482*p^26*q^148+82416*p^24*q^150+474384*p^22*q^152+117020*p^20*q^154 +4824*p^18*q^156+8*p^16*q^158+182*p^27*q^146+16016*p^25*q^148+256351*p^23*q^150 +368224*p^21*q^152+25906*p^19*q^154+1336*p^17*q^156+228*p^28*q^144+2384*p^26*q^ 146+66634*p^24*q^148+467312*p^22*q^150+124060*p^20*q^152+5808*p^18*q^154+50*p^ 16*q^156+220*p^27*q^144+12788*p^25*q^146+200104*p^23*q^148+398150*p^21*q^150+ 34782*p^19*q^152+1420*p^17*q^154+p^30*q^140+24*p^28*q^142+1342*p^26*q^144+47660 *p^24*q^146+402118*p^22*q^148+170748*p^20*q^150+6092*p^18*q^152+292*p^16*q^154+ 602*p^27*q^142+9296*p^25*q^144+174586*p^23*q^146+411762*p^21*q^148+37879*p^19*q ^150+2496*p^17*q^152+24*p^28*q^140+804*p^26*q^142+38811*p^24*q^144+373724*p^22* q^146+180202*p^20*q^148+9132*p^18*q^150+164*p^16*q^152+10*p^29*q^138+292*p^27*q ^140+6634*p^25*q^142+126888*p^23*q^144+429142*p^21*q^146+53414*p^19*q^148+2100* p^17*q^150+28*p^15*q^152+1140*p^26*q^140+29828*p^24*q^142+319386*p^22*q^144+ 229300*p^20*q^146+10012*p^18*q^148+700*p^16*q^150+200*p^27*q^138+3916*p^25*q^ 140+109746*p^23*q^142+412138*p^21*q^144+65318*p^19*q^146+2270*p^17*q^148+4*p^15 *q^150+37*p^28*q^136+1032*p^26*q^138+23506*p^24*q^140+280026*p^22*q^142+244164* p^20*q^144+12938*p^18*q^146+976*p^16*q^148+44*p^27*q^136+3438*p^25*q^138+76866* p^23*q^140+418694*p^21*q^142+76910*p^19*q^144+2494*p^17*q^146+72*p^15*q^148+16* p^28*q^134+832*p^26*q^136+15482*p^24*q^138+232709*p^22*q^140+286692*p^20*q^142+ 19874*p^18*q^144+1024*p^16*q^146+66*p^27*q^134+2572*p^25*q^136+67720*p^23*q^138 +372538*p^21*q^140+97264*p^19*q^142+2216*p^17*q^144+260*p^15*q^146+512*p^26*q^ 134+12372*p^24*q^136+193254*p^22*q^138+306002*p^20*q^140+23860*p^18*q^142+806*p ^16*q^144+130*p^27*q^132+2169*p^25*q^134+49488*p^23*q^136+363441*p^21*q^138+ 106638*p^19*q^140+4608*p^17*q^142+344*p^15*q^144+114*p^26*q^132+8584*p^24*q^134 +148611*p^22*q^136+332304*p^20*q^138+32096*p^18*q^140+452*p^16*q^142+32*p^14*q^ 144+12*p^27*q^130+2176*p^25*q^132+38460*p^23*q^134+327172*p^21*q^136+142108*p^ 19*q^138+5528*p^17*q^140+556*p^15*q^142+470*p^26*q^130+6308*p^24*q^132+130854*p ^22*q^134+317277*p^20*q^136+32234*p^18*q^138+500*p^16*q^140+32*p^14*q^142+12*p^ 27*q^128+814*p^25*q^130+28154*p^23*q^132+278554*p^21*q^134+167088*p^19*q^136+ 10964*p^17*q^138+150*p^15*q^140+156*p^26*q^128+5576*p^24*q^130+96508*p^22*q^132 +358576*p^20*q^134+40096*p^18*q^136+780*p^16*q^138+242*p^14*q^140+1210*p^25*q^ 128+21746*p^23*q^130+243988*p^21*q^132+184285*p^19*q^134+10656*p^17*q^136+16*p^ 15*q^138+100*p^26*q^126+3597*p^24*q^128+80656*p^22*q^130+321229*p^20*q^132+ 55538*p^18*q^134+2456*p^16*q^136+116*p^14*q^138+794*p^25*q^126+15726*p^23*q^128 +208870*p^21*q^130+209646*p^19*q^132+12218*p^17*q^134+36*p^15*q^136+36*p^13*q^ 138+22*p^26*q^124+3168*p^24*q^126+58289*p^22*q^128+328074*p^20*q^130+66186*p^18 *q^132+3428*p^16*q^134+436*p^25*q^124+11052*p^23*q^126+170684*p^21*q^128+240951 *p^19*q^130+13888*p^17*q^132+258*p^15*q^134+72*p^13*q^136+8*p^26*q^122+3060*p^ 24*q^124+50990*p^22*q^126+289726*p^20*q^128+82230*p^18*q^130+3718*p^16*q^132+ 290*p^25*q^122+8566*p^23*q^124+134552*p^21*q^126+242406*p^19*q^128+17996*p^17*q ^130+776*p^15*q^132+8*p^26*q^120+1300*p^24*q^122+32686*p^22*q^124+286232*p^20*q ^126+103319*p^18*q^128+5814*p^16*q^130+8*p^14*q^132+20*p^12*q^134+84*p^25*q^120 +8504*p^23*q^122+117996*p^21*q^124+262674*p^19*q^126+21068*p^17*q^128+578*p^15* q^130+1450*p^24*q^120+25290*p^22*q^122+227360*p^20*q^124+120900*p^18*q^126+4627 *p^16*q^128+96*p^14*q^130+92*p^25*q^118+5034*p^23*q^120+91953*p^21*q^122+266454 *p^19*q^124+30706*p^17*q^126+1960*p^15*q^128+2*p^11*q^132+592*p^24*q^118+19875* p^22*q^120+206206*p^20*q^122+133188*p^18*q^124+4828*p^16*q^126+20*p^14*q^128+8* p^25*q^116+4478*p^23*q^118+68552*p^21*q^120+284623*p^19*q^122+40196*p^17*q^124+ 2104*p^15*q^126+4*p^13*q^128+540*p^24*q^116+15832*p^22*q^118+177515*p^20*q^120+ 150572*p^18*q^122+5948*p^16*q^124+296*p^14*q^126+2566*p^23*q^116+53967*p^21*q^ 118+239996*p^19*q^120+51673*p^17*q^122+1900*p^15*q^124+192*p^24*q^114+12307*p^ 22*q^116+151642*p^20*q^118+182734*p^18*q^120+9782*p^16*q^122+630*p^14*q^124+ 2020*p^23*q^114+38784*p^21*q^116+246864*p^19*q^118+53786*p^17*q^120+1294*p^15*q ^122+8*p^13*q^124+24*p^24*q^112+9654*p^22*q^114+121971*p^20*q^116+194172*p^18*q ^118+13666*p^16*q^120+840*p^14*q^122+6*p^25*q^110+1460*p^23*q^112+31736*p^21*q^ 114+208788*p^19*q^116+71014*p^17*q^118+1378*p^15*q^120+92*p^13*q^122+16*p^24*q^ 110+5410*p^22*q^112+95236*p^20*q^114+202632*p^18*q^116+19438*p^16*q^118+850*p^ 14*q^120+400*p^23*q^110+27116*p^21*q^112+208445*p^19*q^114+82082*p^17*q^116+ 2196*p^15*q^118+140*p^13*q^120+54*p^24*q^108+5476*p^22*q^110+73990*p^20*q^112+ 202850*p^18*q^114+20409*p^16*q^116+152*p^14*q^118+4*p^12*q^120+230*p^23*q^108+ 16912*p^21*q^110+165258*p^19*q^112+106716*p^17*q^114+4980*p^15*q^116+460*p^13*q ^118+2905*p^22*q^108+61000*p^20*q^110+205872*p^18*q^112+24714*p^16*q^114+216*p^ 14*q^116+4*p^12*q^118+202*p^23*q^106+14254*p^21*q^108+150388*p^19*q^110+114212* p^17*q^112+6139*p^15*q^114+144*p^13*q^116+1592*p^22*q^106+46384*p^20*q^108+ 202206*p^18*q^110+32428*p^16*q^112+612*p^14*q^114+96*p^12*q^116+108*p^23*q^104+ 10640*p^21*q^106+116450*p^19*q^108+134404*p^17*q^110+7286*p^15*q^112+12*p^13*q^ 114+786*p^22*q^104+36296*p^20*q^106+184653*p^18*q^108+41562*p^16*q^110+1392*p^ 14*q^112+112*p^12*q^114+8*p^23*q^102+6854*p^21*q^104+100835*p^19*q^106+142562*p ^17*q^108+9198*p^15*q^110+32*p^13*q^112+4*p^11*q^114+802*p^22*q^102+27986*p^20* q^104+182148*p^18*q^106+48088*p^16*q^108+1508*p^14*q^110+4074*p^21*q^102+76252* p^19*q^104+146838*p^17*q^106+10876*p^15*q^108+178*p^13*q^110+36*p^11*q^112+168* p^22*q^100+19806*p^20*q^102+151120*p^18*q^104+69502*p^16*q^106+2936*p^14*q^108+ 3032*p^21*q^100+67162*p^19*q^102+157552*p^17*q^104+11596*p^15*q^106+148*p^13*q^ 108+80*p^22*q^98+15414*p^20*q^100+133454*p^18*q^102+68838*p^16*q^104+3634*p^14* q^106+8*p^12*q^108+4*p^10*q^110+1592*p^21*q^98+46540*p^19*q^100+163134*p^17*q^ 102+19092*p^15*q^104+520*p^13*q^106+4*p^22*q^96+9692*p^20*q^98+114886*p^18*q^ 100+86814*p^16*q^102+3096*p^14*q^104+12*p^12*q^106+796*p^21*q^96+39720*p^19*q^ 98+149306*p^17*q^100+22871*p^15*q^102+1076*p^13*q^104+8*p^22*q^94+7296*p^20*q^ 96+97390*p^18*q^98+94446*p^16*q^100+3564*p^14*q^102+20*p^12*q^104+186*p^21*q^94 +26996*p^19*q^96+144975*p^17*q^98+31018*p^15*q^100+1262*p^13*q^102+6*p^22*q^92+ 4216*p^20*q^94+75456*p^18*q^96+110612*p^16*q^98+4796*p^14*q^100+176*p^12*q^102+ 68*p^21*q^92+21742*p^19*q^94+133884*p^17*q^96+36233*p^15*q^98+1128*p^13*q^100+ 2142*p^20*q^92+64172*p^18*q^94+107100*p^16*q^96+7328*p^14*q^98+268*p^12*q^100+ 108*p^21*q^90+14718*p^19*q^92+117558*p^17*q^94+45196*p^15*q^96+791*p^13*q^98+12 *p^11*q^100+486*p^20*q^90+46864*p^18*q^92+123252*p^16*q^94+10592*p^14*q^96+590* p^12*q^98+10516*p^19*q^90+102438*p^17*q^92+53890*p^15*q^94+916*p^13*q^96+14*p^ 11*q^98+788*p^20*q^88+38438*p^18*q^90+113176*p^16*q^92+12884*p^14*q^94+262*p^12 *q^96+3*p^21*q^86+4416*p^19*q^88+85882*p^17*q^90+61152*p^15*q^92+2334*p^13*q^94 +140*p^11*q^96+128*p^20*q^86+29216*p^18*q^88+119428*p^16*q^90+17660*p^14*q^92+ 56*p^12*q^94+3126*p^19*q^86+71166*p^17*q^88+71750*p^15*q^90+2464*p^13*q^92+158* p^11*q^94+47*p^20*q^84+19502*p^18*q^86+103598*p^16*q^88+20092*p^14*q^90+298*p^ 12*q^92+8*p^10*q^94+3*p^21*q^82+1632*p^19*q^84+59759*p^17*q^86+77778*p^15*q^88+ 4896*p^13*q^90+8*p^20*q^82+11006*p^18*q^84+98252*p^16*q^86+26930*p^14*q^88+268* p^12*q^90+52*p^10*q^92+436*p^19*q^82+47996*p^17*q^84+87627*p^15*q^86+5598*p^13* q^88+16*p^11*q^90+38*p^20*q^80+8802*p^18*q^82+83696*p^16*q^84+30294*p^14*q^86+ 816*p^12*q^88+248*p^19*q^80+31460*p^17*q^82+82118*p^15*q^84+7418*p^13*q^86+24*p ^11*q^88+6*p^9*q^90+3157*p^18*q^80+81724*p^16*q^82+41458*p^14*q^84+1616*p^12*q^ 86+186*p^19*q^78+25556*p^17*q^80+87049*p^15*q^82+7040*p^13*q^84+44*p^11*q^86+ 2088*p^18*q^78+60206*p^16*q^80+46802*p^14*q^82+1924*p^12*q^84+52*p^19*q^76+ 15200*p^17*q^78+80512*p^15*q^80+11639*p^13*q^82+272*p^11*q^84+742*p^18*q^76+ 51830*p^16*q^78+53185*p^14*q^80+1992*p^12*q^82+4*p^19*q^74+9976*p^17*q^76+81372 *p^15*q^78+15482*p^13*q^80+378*p^11*q^82+532*p^18*q^74+38032*p^16*q^76+55538*p^ 14*q^78+1788*p^12*q^80+20*p^10*q^82+4441*p^17*q^74+69750*p^15*q^76+20950*p^13*q ^78+812*p^11*q^80+124*p^18*q^72+28520*p^16*q^74+59220*p^14*q^76+3212*p^12*q^78+ 24*p^10*q^80+2442*p^17*q^72+63522*p^15*q^74+25222*p^13*q^76+334*p^11*q^78+36*p^ 18*q^70+20056*p^16*q^72+63868*p^14*q^74+4418*p^12*q^76+184*p^10*q^78+6*p^19*q^ 68+1259*p^17*q^70+46492*p^15*q^72+28002*p^13*q^74+448*p^11*q^76+9292*p^16*q^70+ 65256*p^14*q^72+8004*p^12*q^74+204*p^10*q^76+432*p^17*q^68+47286*p^15*q^70+ 31236*p^13*q^72+458*p^11*q^74+12*p^9*q^76+54*p^18*q^66+6481*p^16*q^68+55454*p^ 14*q^70+9142*p^12*q^72+24*p^10*q^74+84*p^17*q^66+27076*p^15*q^68+42466*p^13*q^ 70+1450*p^11*q^72+68*p^9*q^74+2758*p^16*q^66+56118*p^14*q^68+10700*p^12*q^70+36 *p^10*q^72+188*p^17*q^64+20980*p^15*q^66+40324*p^13*q^68+2274*p^11*q^70+1174*p^ 16*q^64+48312*p^14*q^66+14287*p^12*q^68+108*p^10*q^70+8*p^8*q^72+84*p^17*q^62+ 11756*p^15*q^64+44266*p^13*q^66+2838*p^11*q^68+p^18*q^60+470*p^16*q^62+38470*p^ 14*q^64+19440*p^12*q^66+366*p^10*q^68+6196*p^15*q^62+46436*p^13*q^64+3367*p^11* q^66+630*p^16*q^60+31186*p^14*q^62+19620*p^12*q^64+496*p^10*q^66+9*p^17*q^58+ 2650*p^15*q^60+41894*p^13*q^62+5428*p^11*q^64+28*p^9*q^66+36*p^16*q^58+18674*p^ 14*q^60+28840*p^12*q^62+1014*p^10*q^64+2062*p^15*q^58+41224*p^13*q^60+5332*p^11 *q^62+34*p^9*q^64+66*p^16*q^56+12052*p^14*q^58+26432*p^12*q^60+992*p^10*q^62+ 720*p^15*q^56+33809*p^13*q^58+9802*p^11*q^60+228*p^9*q^62+12*p^16*q^54+5952*p^ 14*q^56+32684*p^12*q^58+852*p^10*q^60+349*p^15*q^54+27532*p^13*q^56+11920*p^11* q^58+282*p^9*q^60+3914*p^14*q^54+29029*p^12*q^56+1760*p^10*q^58+16*p^8*q^60+126 *p^15*q^52+16668*p^13*q^54+14642*p^11*q^56+78*p^9*q^58+1459*p^14*q^52+32854*p^ 12*q^54+3306*p^10*q^56+84*p^8*q^58+6*p^15*q^50+11466*p^13*q^52+16452*p^11*q^54+ 120*p^9*q^56+884*p^14*q^50+27328*p^12*q^52+4172*p^10*q^54+12*p^15*q^48+5688*p^ 13*q^50+17756*p^11*q^52+517*p^9*q^54+10*p^7*q^56+120*p^14*q^48+21098*p^12*q^50+ 6554*p^10*q^52+3692*p^13*q^48+23536*p^11*q^50+632*p^9*q^52+120*p^14*q^46+14167* p^12*q^48+5606*p^10*q^50+36*p^8*q^52+1072*p^13*q^46+21272*p^11*q^48+1907*p^9*q^ 50+6*p^14*q^44+10040*p^12*q^46+9406*p^10*q^48+44*p^8*q^50+552*p^13*q^44+19596*p ^11*q^46+1340*p^9*q^48+5180*p^12*q^44+12602*p^10*q^46+326*p^8*q^48+180*p^13*q^ 42+15096*p^11*q^44+2066*p^9*q^46+1848*p^12*q^42+13370*p^10*q^44+368*p^8*q^46+ 13148*p^11*q^42+3624*p^9*q^44+20*p^7*q^46+1245*p^12*q^40+12552*p^10*q^42+198*p^ 8*q^44+12*p^13*q^38+5706*p^11*q^40+5634*p^9*q^42+100*p^7*q^44+108*p^12*q^38+ 14968*p^10*q^40+568*p^8*q^42+3904*p^11*q^38+5852*p^9*q^40+114*p^12*q^36+10712*p ^10*q^38+1202*p^8*q^40+12*p^6*q^42+1218*p^11*q^36+7884*p^9*q^38+44*p^7*q^40+ 7531*p^10*q^36+2042*p^8*q^38+492*p^11*q^34+8886*p^9*q^36+92*p^7*q^38+p^12*q^32+ 4472*p^10*q^34+2071*p^8*q^36+108*p^11*q^32+8532*p^9*q^34+404*p^7*q^36+1610*p^10 *q^32+3642*p^8*q^34+8*p^11*q^30+7202*p^9*q^32+475*p^7*q^34+828*p^10*q^30+4179*p ^8*q^32+24*p^6*q^34+3810*p^9*q^30+774*p^7*q^32+53*p^10*q^28+6048*p^8*q^30+116*p ^6*q^32+2578*p^9*q^28+898*p^7*q^30+20*p^10*q^26+4212*p^8*q^28+68*p^6*q^30+527*p ^9*q^26+2414*p^7*q^28+14*p^5*q^30+4082*p^8*q^26+92*p^6*q^28+140*p^9*q^24+2420*p ^7*q^26+2002*p^8*q^24+440*p^6*q^26+10*p^9*q^22+2714*p^7*q^24+500*p^8*q^22+812*p ^6*q^24+3079*p^7*q^22+28*p^5*q^24+130*p^8*q^20+748*p^6*q^22+1170*p^7*q^20+178*p ^5*q^22+1830*p^6*q^20+515*p^7*q^18+58*p^5*q^20+1384*p^6*q^18+16*p^4*q^20+30*p^7 *q^16+465*p^5*q^18+928*p^6*q^16+686*p^5*q^16+200*p^6*q^14+41*p^4*q^16+742*p^5*q ^14+p^6*q^12+164*p^4*q^14+448*p^5*q^12+224*p^4*q^12+21*p^5*q^10+18*p^3*q^12+408 *p^4*q^10+18*p^3*q^10+70*p^4*q^8+154*p^3*q^8+84*p^3*q^6+20*p^2*q^6+45*p^2*q^4+ 11*p*q^2+1 J[13](p, q), equals p^78*q^728+12*p^77*q^726+55*p^76*q^724+22*p^76*q^722+120*p^75*q^722+191*p^75*q^ 720+126*p^74*q^720+20*p^75*q^718+594*p^74*q^718+20*p^75*q^716+56*p^73*q^718+288 *p^74*q^716+812*p^73*q^716+202*p^74*q^714+7*p^72*q^716+1152*p^73*q^714+46*p^74* q^712+490*p^72*q^714+960*p^73*q^712+1828*p^72*q^712+602*p^73*q^710+117*p^71*q^ 712+18*p^74*q^708+2394*p^72*q^710+66*p^73*q^708+1308*p^71*q^710+2774*p^72*q^708 +6*p^70*q^710+218*p^73*q^706+2780*p^71*q^708+1026*p^72*q^706+450*p^70*q^708+32* p^73*q^704+5824*p^71*q^706+1112*p^72*q^704+1580*p^70*q^706+4610*p^71*q^704+60*p ^69*q^706+564*p^72*q^702+5278*p^70*q^704+3806*p^71*q^702+555*p^69*q^704+106*p^ 72*q^700+8878*p^70*q^702+16*p^73*q^698+3558*p^71*q^700+2050*p^69*q^702+78*p^72* q^698+8456*p^70*q^700+120*p^68*q^702+1222*p^71*q^698+7536*p^69*q^700+148*p^72*q ^696+10754*p^70*q^698+350*p^68*q^700+995*p^71*q^696+10326*p^69*q^698+10*p^67*q^ 700+28*p^72*q^694+6741*p^70*q^696+3134*p^68*q^698+660*p^71*q^694+16912*p^69*q^ 696+40*p^67*q^698+5516*p^70*q^694+6274*p^68*q^696+522*p^71*q^692+17662*p^69*q^ 694+592*p^67*q^696+3089*p^70*q^692+13924*p^68*q^694+5*p^66*q^696+108*p^71*q^690 +16513*p^69*q^692+2424*p^67*q^694+2960*p^70*q^690+21805*p^68*q^692+28*p^66*q^ 694+52*p^71*q^688+13564*p^69*q^690+5464*p^67*q^692+14*p^72*q^686+1596*p^70*q^ 688+26936*p^68*q^690+632*p^66*q^692+9820*p^69*q^688+14522*p^67*q^690+744*p^70*q ^686+32616*p^68*q^688+1118*p^66*q^690+130*p^71*q^684+8854*p^69*q^686+21395*p^67 *q^688+76*p^65*q^690+236*p^70*q^684+25426*p^68*q^686+5451*p^66*q^688+24*p^71*q^ 682+5318*p^69*q^684+39218*p^67*q^686+172*p^65*q^688+530*p^70*q^682+25942*p^68*q ^684+9522*p^66*q^686+2868*p^69*q^682+41562*p^67*q^684+1212*p^65*q^686+432*p^70* q^680+22102*p^68*q^682+22218*p^66*q^684+36*p^64*q^686+1933*p^69*q^680+47374*p^ 67*q^682+2784*p^65*q^684+54*p^70*q^678+15376*p^68*q^680+38384*p^66*q^682+126*p^ 64*q^684+2768*p^69*q^678+49300*p^67*q^680+6582*p^65*q^682+4*p^63*q^684+44*p^70* q^676+8918*p^68*q^678+48144*p^66*q^680+678*p^64*q^682+872*p^69*q^676+47500*p^67 *q^678+18694*p^65*q^680+10404*p^68*q^676+64540*p^66*q^678+953*p^64*q^680+12*p^ 71*q^672+688*p^69*q^674+34266*p^67*q^676+28798*p^65*q^678+126*p^63*q^680+6364*p ^68*q^674+76066*p^66*q^676+5402*p^64*q^678+150*p^69*q^672+30214*p^67*q^674+ 47482*p^65*q^676+48*p^63*q^678+112*p^70*q^670+4824*p^68*q^672+80232*p^66*q^674+ 10264*p^64*q^676+12*p^62*q^678+96*p^69*q^670+25832*p^67*q^672+66396*p^65*q^674+ 912*p^63*q^676+20*p^70*q^668+2446*p^68*q^670+68798*p^66*q^672+21880*p^64*q^674+ 424*p^69*q^668+19936*p^67*q^670+93524*p^65*q^672+2468*p^63*q^674+1158*p^68*q^ 668+69590*p^66*q^670+33742*p^64*q^672+66*p^62*q^674+316*p^69*q^666+15614*p^67*q ^668+104984*p^65*q^670+5892*p^63*q^672+1486*p^68*q^666+54958*p^66*q^668+58244*p ^64*q^670+462*p^62*q^672+44*p^69*q^664+8066*p^67*q^666+116828*p^65*q^668+13700* p^63*q^670+1600*p^68*q^664+54764*p^66*q^666+83366*p^64*q^668+748*p^62*q^670+36* p^69*q^662+8082*p^67*q^664+112270*p^65*q^666+20458*p^63*q^668+60*p^61*q^670+706 *p^68*q^662+35757*p^66*q^664+118350*p^64*q^666+4188*p^62*q^668+5510*p^67*q^662+ 115038*p^65*q^664+38342*p^63*q^666+30*p^61*q^668+512*p^68*q^660+33132*p^66*q^ 662+137666*p^64*q^664+5700*p^62*q^666+4*p^60*q^668+4510*p^67*q^660+100318*p^65* q^662+64686*p^63*q^664+678*p^61*q^666+10*p^70*q^656+142*p^68*q^658+23708*p^66*q ^660+161672*p^64*q^662+11448*p^62*q^664+3460*p^67*q^658+88107*p^65*q^660+98026* p^63*q^662+1586*p^61*q^664+48*p^68*q^656+17860*p^66*q^658+171325*p^64*q^660+ 22218*p^62*q^662+30*p^60*q^664+94*p^69*q^654+2077*p^67*q^656+83930*p^65*q^658+ 127728*p^63*q^660+2648*p^61*q^662+32*p^68*q^654+15444*p^66*q^656+160164*p^64*q^ 658+40209*p^62*q^660+342*p^60*q^662+16*p^69*q^652+668*p^67*q^654+58646*p^65*q^ 656+187410*p^63*q^658+5665*p^61*q^660+324*p^68*q^652+12902*p^66*q^654+174654*p^ 64*q^656+59054*p^62*q^658+428*p^60*q^660+634*p^67*q^652+51770*p^65*q^654+186317 *p^63*q^656+11424*p^61*q^658+36*p^59*q^660+264*p^68*q^650+6588*p^66*q^652+ 153592*p^64*q^654+109365*p^62*q^656+1474*p^60*q^658+606*p^67*q^650+46617*p^65*q ^652+229324*p^63*q^654+17759*p^61*q^656+24*p^59*q^658+34*p^68*q^648+4962*p^66*q ^650+132726*p^64*q^652+143936*p^62*q^654+2314*p^60*q^656+1330*p^67*q^648+35780* p^65*q^650+241228*p^63*q^652+36346*p^61*q^654+345*p^59*q^656+28*p^68*q^646+2748 *p^66*q^648+120366*p^64*q^650+184794*p^62*q^652+4560*p^60*q^654+558*p^67*q^646+ 25932*p^65*q^648+246754*p^63*q^650+64412*p^61*q^652+480*p^59*q^654+3590*p^66*q^ 646+110494*p^64*q^648+236728*p^62*q^650+7746*p^60*q^652+42*p^58*q^654+404*p^67* q^644+18560*p^65*q^646+229826*p^63*q^648+95802*p^61*q^650+824*p^59*q^652+3298*p ^66*q^644+91694*p^64*q^646+270830*p^62*q^648+18292*p^60*q^650+138*p^58*q^652+68 *p^67*q^642+11894*p^65*q^644+227970*p^63*q^646+142466*p^61*q^648+1674*p^59*q^ 650+2574*p^66*q^642+76952*p^64*q^644+317430*p^62*q^646+29603*p^60*q^648+52*p^58 *q^650+8*p^69*q^638+36*p^67*q^640+13142*p^65*q^642+207527*p^63*q^644+183890*p^ 61*q^646+3437*p^59*q^648+30*p^57*q^650+1234*p^66*q^640+53454*p^64*q^642+312923* p^62*q^644+59490*p^60*q^646+404*p^58*q^648+24*p^67*q^638+10043*p^65*q^640+ 204156*p^63*q^642+258778*p^61*q^644+5988*p^59*q^646+76*p^68*q^636+450*p^66*q^ 638+48122*p^64*q^640+331070*p^62*q^642+75526*p^60*q^644+498*p^58*q^646+3*p^56*q ^648+8238*p^65*q^638+167572*p^63*q^640+306462*p^61*q^642+16464*p^59*q^644+48*p^ 57*q^646+12*p^68*q^634+464*p^66*q^636+36778*p^64*q^638+336030*p^62*q^640+128296 *p^60*q^642+912*p^58*q^644+264*p^67*q^634+4052*p^65*q^636+147690*p^63*q^638+ 344527*p^61*q^640+23932*p^59*q^642+122*p^57*q^644+90*p^66*q^634+32760*p^64*q^ 636+339138*p^62*q^638+185516*p^60*q^640+2732*p^58*q^642+212*p^67*q^632+3736*p^ 65*q^634+122419*p^63*q^636+388006*p^61*q^638+38266*p^59*q^640+76*p^57*q^642+500 *p^66*q^632+22814*p^64*q^634+309024*p^62*q^636+245262*p^60*q^638+6948*p^58*q^ 640+30*p^56*q^642+24*p^67*q^630+1556*p^65*q^632+105384*p^63*q^634+424184*p^61*q ^636+71084*p^59*q^638+224*p^57*q^640+1028*p^66*q^630+18310*p^64*q^632+306916*p^ 62*q^634+294676*p^60*q^636+7480*p^58*q^638+20*p^67*q^628+1410*p^65*q^630+88441* p^63*q^632+439750*p^61*q^634+107605*p^59*q^636+1564*p^57*q^638+3*p^55*q^640+420 *p^66*q^628+12608*p^64*q^630+254137*p^62*q^632+376658*p^60*q^634+18438*p^58*q^ 636+8*p^56*q^638+2378*p^65*q^628+69226*p^63*q^630+477059*p^61*q^632+157078*p^59 *q^634+1300*p^57*q^636+288*p^66*q^626+8442*p^64*q^628+248222*p^62*q^630+407410* p^60*q^632+30642*p^58*q^634+176*p^56*q^636+2224*p^65*q^626+57192*p^63*q^628+ 458614*p^61*q^630+213476*p^59*q^632+3344*p^57*q^634+44*p^66*q^624+6700*p^64*q^ 626+207258*p^62*q^628+490352*p^60*q^630+54783*p^58*q^632+332*p^56*q^634+1830*p^ 65*q^624+42590*p^63*q^626+449534*p^61*q^628+283782*p^59*q^630+6384*p^57*q^632+4 *p^55*q^634+24*p^66*q^622+6588*p^64*q^624+182058*p^62*q^626+534701*p^60*q^628+ 79982*p^58*q^630+366*p^56*q^632+920*p^65*q^622+34136*p^63*q^624+446946*p^61*q^ 626+332257*p^59*q^628+13210*p^57*q^630+68*p^55*q^632+6*p^68*q^618+16*p^66*q^620 +6642*p^64*q^622+143672*p^62*q^624+567370*p^60*q^626+131354*p^58*q^628+1072*p^ 56*q^630+290*p^65*q^620+22862*p^63*q^622+414180*p^61*q^624+435346*p^59*q^626+ 21410*p^57*q^628+16*p^55*q^630+5486*p^64*q^620+136832*p^62*q^622+602311*p^60*q^ 624+169628*p^58*q^626+1944*p^56*q^628+6*p^54*q^630+58*p^67*q^616+344*p^65*q^618 +21598*p^63*q^620+364424*p^61*q^622+475059*p^59*q^624+37624*p^57*q^626+136*p^55 *q^628+2804*p^64*q^618+94584*p^62*q^620+642316*p^60*q^622+240439*p^58*q^624+ 5594*p^56*q^626+8*p^67*q^614+48*p^65*q^616+18390*p^63*q^618+341496*p^61*q^620+ 576154*p^59*q^622+60308*p^57*q^624+116*p^55*q^626+204*p^66*q^614+2704*p^64*q^ 616+82870*p^62*q^618+627005*p^60*q^620+298800*p^58*q^622+6642*p^56*q^624+8*p^54 *q^626+32*p^65*q^614+14252*p^63*q^616+302048*p^61*q^618+615182*p^59*q^620+97516 *p^57*q^622+1198*p^55*q^624+160*p^66*q^612+1080*p^64*q^614+64368*p^62*q^616+ 623868*p^60*q^618+378505*p^58*q^620+14442*p^56*q^622+334*p^65*q^612+12208*p^63* q^614+255268*p^61*q^616+719806*p^59*q^618+132790*p^57*q^620+1168*p^55*q^622+14* p^66*q^610+456*p^64*q^612+50744*p^62*q^614+603374*p^60*q^616+449954*p^58*q^618+ 26145*p^56*q^620+112*p^54*q^622+796*p^65*q^610+9692*p^63*q^612+226972*p^61*q^ 614+752306*p^59*q^616+182000*p^57*q^618+2160*p^55*q^620+12*p^66*q^608+472*p^64* q^610+41978*p^62*q^612+559686*p^60*q^614+523046*p^58*q^616+45514*p^56*q^618+364 *p^54*q^620+298*p^65*q^608+4136*p^63*q^610+174270*p^61*q^612+832272*p^59*q^614+ 257976*p^57*q^616+4378*p^55*q^618+1716*p^64*q^608+40826*p^62*q^610+538267*p^60* q^612+627270*p^58*q^614+58440*p^56*q^616+138*p^54*q^618+200*p^65*q^606+2958*p^ 63*q^608+147788*p^61*q^610+806224*p^59*q^612+299816*p^57*q^614+11472*p^55*q^616 +74*p^53*q^618+1612*p^64*q^606+27134*p^62*q^608+480440*p^60*q^610+729478*p^58*q ^612+108168*p^56*q^614+510*p^54*q^616+20*p^65*q^604+3128*p^63*q^606+119054*p^61 *q^608+869302*p^59*q^610+364794*p^57*q^612+14752*p^55*q^614+1356*p^64*q^604+ 19532*p^62*q^606+433886*p^60*q^608+826198*p^58*q^610+137791*p^56*q^612+1618*p^ 54*q^614+6*p^52*q^616+12*p^65*q^602+3904*p^63*q^604+109866*p^61*q^606+817006*p^ 59*q^608+460130*p^57*q^610+28436*p^55*q^612+36*p^53*q^614+618*p^64*q^602+12900* p^62*q^604+348230*p^60*q^606+908740*p^58*q^608+184968*p^56*q^610+3442*p^54*q^ 612+8*p^65*q^600+4612*p^63*q^602+85224*p^61*q^604+873290*p^59*q^606+553702*p^57 *q^608+47682*p^55*q^610+78*p^53*q^612+148*p^64*q^600+10798*p^62*q^602+311708*p^ 60*q^604+968224*p^58*q^606+224244*p^56*q^608+4818*p^54*q^610+4*p^67*q^596+4147* p^63*q^600+64062*p^61*q^602+776149*p^59*q^604+677284*p^57*q^606+68786*p^55*q^ 608+610*p^53*q^610+186*p^64*q^598+10470*p^62*q^600+276004*p^60*q^602+1035136*p^ 58*q^604+288328*p^56*q^606+12337*p^54*q^608+1576*p^63*q^598+46372*p^61*q^600+ 716740*p^59*q^602+789294*p^57*q^604+100220*p^55*q^606+664*p^53*q^608+40*p^66*q^ 594+20*p^64*q^596+12960*p^62*q^598+232188*p^60*q^600+1158406*p^58*q^602+347324* p^56*q^604+16504*p^54*q^606+48*p^52*q^608+1712*p^63*q^596+38932*p^61*q^598+ 653174*p^59*q^600+863980*p^57*q^602+125986*p^55*q^604+2074*p^53*q^606+4*p^66*q^ 592+12*p^64*q^594+8624*p^62*q^596+180950*p^60*q^598+1103090*p^58*q^600+477280*p ^56*q^602+33606*p^54*q^604+100*p^52*q^606+144*p^65*q^592+536*p^63*q^594+31917*p ^61*q^596+617496*p^59*q^598+1035748*p^57*q^600+158956*p^55*q^602+3072*p^53*q^ 604+4*p^64*q^592+8366*p^62*q^594+151314*p^60*q^596+1136636*p^58*q^598+529117*p^ 56*q^600+43506*p^54*q^602+174*p^52*q^604+108*p^65*q^590+206*p^63*q^592+28414*p^ 61*q^594+520889*p^59*q^596+1156130*p^57*q^598+206896*p^55*q^600+7708*p^53*q^602 +8*p^51*q^604+232*p^64*q^590+5240*p^62*q^592+121648*p^60*q^594+1083090*p^58*q^ 596+672474*p^56*q^598+65933*p^54*q^600+506*p^52*q^602+4*p^65*q^588+92*p^63*q^ 590+26306*p^61*q^592+454136*p^59*q^594+1251415*p^57*q^596+268744*p^55*q^598+ 11336*p^53*q^600+8*p^51*q^602+596*p^64*q^588+2254*p^62*q^590+93214*p^60*q^592+ 1100786*p^58*q^594+780139*p^56*q^596+85776*p^54*q^598+1096*p^52*q^600+4*p^65*q^ 586+292*p^63*q^588+24900*p^61*q^590+400454*p^59*q^592+1317178*p^57*q^594+325815 *p^55*q^596+18022*p^53*q^598+51*p^51*q^600+160*p^64*q^586+1452*p^62*q^588+76902 *p^60*q^590+962288*p^58*q^592+966274*p^56*q^594+110253*p^54*q^596+3000*p^52*q^ 598+1252*p^63*q^586+14016*p^61*q^588+331982*p^59*q^590+1437247*p^57*q^592+ 415702*p^55*q^594+30904*p^53*q^596+56*p^51*q^598+104*p^64*q^584+1056*p^62*q^586 +77004*p^60*q^588+941842*p^58*q^590+1061510*p^56*q^592+137430*p^54*q^594+2488*p ^52*q^596+1144*p^63*q^584+11772*p^61*q^586+258510*p^59*q^588+1461830*p^57*q^590 +507924*p^55*q^592+42894*p^53*q^594+674*p^51*q^596+8*p^64*q^582+1724*p^62*q^584 +56388*p^60*q^586+837358*p^58*q^588+1247114*p^56*q^590+183974*p^54*q^592+7292*p ^52*q^594+776*p^63*q^582+6111*p^61*q^584+234698*p^59*q^586+1448694*p^57*q^588+ 656000*p^55*q^590+53296*p^53*q^592+316*p^51*q^594+2834*p^62*q^582+50506*p^60*q^ 584+754610*p^58*q^586+1383538*p^56*q^588+215960*p^54*q^590+12870*p^52*q^592+70* p^50*q^594+324*p^63*q^580+5768*p^61*q^582+185275*p^59*q^584+1481008*p^57*q^586+ 740339*p^55*q^588+74810*p^53*q^590+988*p^51*q^592+4*p^64*q^578+2940*p^62*q^580+ 34052*p^60*q^582+643172*p^58*q^584+1542228*p^56*q^586+296446*p^54*q^588+19036*p ^52*q^590+115*p^50*q^592+24*p^63*q^578+5426*p^61*q^580+159556*p^59*q^582+ 1408737*p^57*q^584+939138*p^55*q^586+86356*p^53*q^588+2376*p^51*q^590+2424*p^62 *q^578+26360*p^60*q^580+588760*p^58*q^582+1650850*p^56*q^584+365634*p^54*q^586+ 24918*p^52*q^588+64*p^50*q^590+100*p^63*q^576+5984*p^61*q^578+134121*p^59*q^580 +1345484*p^57*q^582+1057852*p^55*q^584+112524*p^53*q^586+4838*p^51*q^588+30*p^ 49*q^590+2*p^66*q^572+756*p^62*q^576+22178*p^60*q^578+461254*p^58*q^580+1789608 *p^56*q^582+465461*p^54*q^584+37916*p^52*q^586+268*p^50*q^588+8*p^63*q^574+7680 *p^61*q^576+101282*p^59*q^578+1280933*p^57*q^580+1283022*p^55*q^582+144256*p^53 *q^584+6958*p^51*q^586+838*p^62*q^574+15632*p^60*q^576+426286*p^58*q^578+ 1801647*p^56*q^580+565084*p^54*q^582+40792*p^52*q^584+616*p^50*q^586+3*p^48*q^ 588+22*p^65*q^570+5404*p^61*q^574+90654*p^59*q^576+1169760*p^57*q^578+1426775*p ^55*q^580+188892*p^53*q^582+12112*p^51*q^584+8*p^49*q^586+292*p^62*q^572+15394* p^60*q^574+324301*p^58*q^576+1892576*p^56*q^578+703952*p^54*q^580+56732*p^52*q^ 582+1960*p^50*q^584+4080*p^61*q^572+67310*p^59*q^574+1057318*p^57*q^576+1680030 *p^55*q^578+244398*p^53*q^580+15348*p^51*q^582+32*p^49*q^584+90*p^64*q^568+42*p ^62*q^570+16344*p^60*q^572+304424*p^58*q^574+1881388*p^56*q^576+829536*p^54*q^ 578+63087*p^52*q^580+2266*p^50*q^582+4*p^63*q^568+2872*p^61*q^570+50650*p^59*q^ 572+920812*p^57*q^574+1774285*p^55*q^576+319640*p^53*q^578+22371*p^51*q^580+316 *p^49*q^582+40*p^64*q^566+32*p^62*q^568+14570*p^60*q^570+234774*p^58*q^572+ 1899640*p^56*q^574+1022286*p^54*q^576+88802*p^52*q^578+4198*p^50*q^580+168*p^63 *q^566+936*p^61*q^568+42528*p^59*q^570+808874*p^57*q^572+2013256*p^55*q^574+ 386202*p^53*q^576+25862*p^51*q^578+516*p^49*q^580+88*p^62*q^566+13164*p^60*q^ 568+201100*p^58*q^570+1787616*p^56*q^572+1227004*p^54*q^574+113856*p^52*q^576+ 6394*p^50*q^578+8*p^48*q^580+308*p^63*q^564+684*p^61*q^566+39878*p^59*q^568+ 721272*p^57*q^570+2108202*p^55*q^572+476774*p^53*q^574+29130*p^51*q^576+682*p^ 49*q^578+156*p^62*q^564+7284*p^60*q^566+153408*p^58*q^568+1695310*p^56*q^570+ 1393408*p^54*q^572+165306*p^52*q^574+11512*p^50*q^576+132*p^48*q^578+36*p^63*q^ 562+566*p^61*q^564+36670*p^59*q^566+593460*p^57*q^568+2333950*p^55*q^570+609345 *p^53*q^572+36568*p^51*q^574+876*p^49*q^576+816*p^62*q^562+5654*p^60*q^564+ 129866*p^58*q^566+1617086*p^56*q^568+1618772*p^54*q^570+187624*p^52*q^572+11334 *p^50*q^574+52*p^48*q^576+36*p^63*q^560+434*p^61*q^562+32054*p^59*q^564+517864* p^57*q^566+2261054*p^55*q^568+743514*p^53*q^570+51082*p^51*q^572+3426*p^49*q^ 574+14*p^47*q^576+448*p^62*q^560+3174*p^60*q^562+101846*p^58*q^564+1446206*p^56 *q^566+1892270*p^54*q^568+256862*p^52*q^570+14888*p^50*q^572+60*p^48*q^574+946* p^61*q^560+24016*p^59*q^562+425284*p^57*q^564+2463900*p^55*q^566+879562*p^53*q^ 568+69826*p^51*q^570+3996*p^49*q^572+328*p^62*q^558+3082*p^60*q^560+96590*p^58* q^562+1297593*p^56*q^564+2096514*p^54*q^566+311937*p^52*q^568+14058*p^50*q^570+ 500*p^48*q^572+1504*p^61*q^558+18022*p^59*q^560+364820*p^57*q^562+2360515*p^55* q^564+1084704*p^53*q^566+94362*p^51*q^568+6084*p^49*q^570+86*p^62*q^556+1714*p^ 60*q^558+76668*p^58*q^560+1155854*p^56*q^562+2269765*p^54*q^564+406330*p^52*q^ 566+19558*p^50*q^568+1078*p^48*q^570+1372*p^61*q^556+13864*p^59*q^558+289098*p^ 57*q^560+2390684*p^55*q^562+1307346*p^53*q^564+117906*p^51*q^566+6890*p^49*q^ 568+24*p^47*q^570+2352*p^60*q^556+67204*p^58*q^558+1024410*p^56*q^560+2562554*p ^54*q^562+461703*p^52*q^564+29752*p^50*q^566+1316*p^48*q^568+1010*p^61*q^554+ 11106*p^59*q^556+249528*p^57*q^558+2204687*p^55*q^560+1520410*p^53*q^562+157420 *p^51*q^564+5708*p^49*q^566+228*p^47*q^568+32*p^62*q^552+2912*p^60*q^554+52750* p^58*q^556+876602*p^56*q^558+2682549*p^54*q^560+624436*p^52*q^562+39620*p^50*q^ 564+3266*p^48*q^566+132*p^61*q^552+6314*p^59*q^554+195468*p^57*q^556+2169594*p^ 55*q^558+1775152*p^53*q^560+196186*p^51*q^562+7276*p^49*q^564+72*p^47*q^566+ 4132*p^60*q^552+45780*p^58*q^554+776180*p^56*q^556+2891572*p^54*q^558+734522*p^ 52*q^560+49616*p^50*q^562+2724*p^48*q^564+20*p^46*q^566+372*p^61*q^550+5338*p^ 59*q^552+179724*p^57*q^554+1904480*p^55*q^556+2034668*p^53*q^558+232600*p^51*q^ 560+11530*p^49*q^562+770*p^47*q^564+1788*p^60*q^550+33918*p^58*q^552+613460*p^ 56*q^554+2950053*p^54*q^556+941498*p^52*q^558+79314*p^50*q^560+2768*p^48*q^562+ 64*p^61*q^548+8052*p^59*q^550+141234*p^57*q^552+1876748*p^55*q^554+2298957*p^53 *q^556+299374*p^51*q^558+12542*p^49*q^560+1132*p^47*q^562+1792*p^60*q^548+23472 *p^58*q^550+537704*p^56*q^552+2977088*p^54*q^554+1094810*p^52*q^556+87102*p^50* q^558+2558*p^48*q^560+64*p^46*q^562+7784*p^59*q^548+126068*p^57*q^550+1610927*p ^55*q^552+2655174*p^53*q^554+372611*p^51*q^556+23616*p^49*q^558+1416*p^47*q^560 +1008*p^60*q^546+16496*p^58*q^548+450794*p^56*q^550+2908346*p^54*q^552+1339466* p^52*q^554+115688*p^50*q^556+3388*p^48*q^558+260*p^46*q^560+5964*p^59*q^546+ 101124*p^57*q^548+1448032*p^55*q^550+2905085*p^53*q^552+483802*p^51*q^554+30762 *p^49*q^556+1142*p^47*q^558+212*p^60*q^544+19994*p^58*q^546+368002*p^56*q^548+ 2996202*p^54*q^550+1538596*p^52*q^552+129904*p^50*q^554+4248*p^48*q^556+376*p^ 46*q^558+32*p^61*q^542+5996*p^59*q^544+73982*p^57*q^546+1270473*p^55*q^548+ 3096500*p^53*q^550+592055*p^51*q^552+44182*p^49*q^554+732*p^47*q^556+28*p^45*q^ 558+144*p^60*q^542+15740*p^58*q^544+323548*p^56*q^546+2705097*p^54*q^548+ 1919440*p^52*q^550+170410*p^50*q^552+8394*p^48*q^554+810*p^46*q^556+2228*p^59*q ^542+57764*p^57*q^544+1086304*p^55*q^546+3370950*p^53*q^548+745916*p^51*q^550+ 51852*p^49*q^552+774*p^47*q^554+28*p^45*q^556+300*p^60*q^540+18600*p^58*q^542+ 277296*p^56*q^544+2727128*p^54*q^546+2114607*p^52*q^548+214660*p^50*q^550+11796 *p^48*q^552+216*p^46*q^554+1760*p^59*q^540+47546*p^57*q^542+912666*p^55*q^544+ 3482938*p^53*q^546+879474*p^51*q^548+58636*p^49*q^550+1356*p^47*q^552+286*p^45* q^554+56*p^60*q^538+12476*p^58*q^540+213828*p^56*q^542+2403140*p^54*q^544+ 2563724*p^52*q^546+293031*p^50*q^548+21660*p^48*q^550+176*p^46*q^552+1378*p^59* q^538+44046*p^57*q^540+802708*p^55*q^542+3627952*p^53*q^544+1087950*p^51*q^546+ 68876*p^49*q^548+1848*p^47*q^550+182*p^45*q^552+9560*p^58*q^538+173698*p^56*q^ 540+2296294*p^54*q^542+2790551*p^52*q^544+359678*p^50*q^546+21400*p^48*q^548+94 *p^46*q^550+36*p^44*q^552+1008*p^59*q^536+41774*p^57*q^538+680274*p^55*q^540+ 3654044*p^53*q^542+1313577*p^51*q^544+88900*p^49*q^546+6048*p^47*q^548+20*p^45* q^550+2*p^60*q^534+6246*p^58*q^536+135558*p^56*q^538+1947608*p^54*q^540+3248088 *p^52*q^542+443296*p^50*q^544+28740*p^48*q^546+152*p^46*q^548+92*p^44*q^550+208 *p^59*q^534+32656*p^57*q^536+583632*p^55*q^538+3651442*p^53*q^540+1601986*p^51* q^542+125544*p^49*q^544+6996*p^47*q^546+8*p^60*q^532+5724*p^58*q^534+120740*p^ 56*q^536+1798942*p^54*q^538+3427942*p^52*q^540+549076*p^50*q^542+26250*p^48*q^ 544+888*p^46*q^546+116*p^59*q^532+28700*p^57*q^534+468212*p^55*q^536+3653566*p^ 53*q^538+1866499*p^51*q^540+160804*p^49*q^542+10546*p^47*q^544+22*p^43*q^548+38 *p^60*q^530+3068*p^58*q^532+97532*p^56*q^534+1540984*p^54*q^536+3758994*p^52*q^ 538+690286*p^50*q^540+34744*p^48*q^542+1890*p^46*q^544+64*p^59*q^530+19858*p^57 *q^532+387500*p^55*q^534+3375967*p^53*q^536+2312686*p^51*q^538+195341*p^49*q^ 540+13560*p^47*q^542+48*p^45*q^544+1510*p^58*q^530+93618*p^56*q^532+1397100*p^ 54*q^534+4070912*p^52*q^536+820068*p^50*q^538+46386*p^48*q^540+2000*p^46*q^542+ 2*p^42*q^546+345*p^59*q^528+17300*p^57*q^530+318452*p^55*q^532+3236848*p^53*q^ 534+2479565*p^51*q^536+266242*p^49*q^538+10730*p^47*q^540+356*p^45*q^542+4*p^60 *q^526+668*p^58*q^528+68802*p^56*q^530+1139681*p^54*q^532+4323034*p^52*q^534+ 1078430*p^50*q^536+62996*p^48*q^538+5510*p^46*q^540+56*p^59*q^526+10968*p^57*q^ 528+269268*p^55*q^530+2997406*p^53*q^532+2990426*p^51*q^534+311668*p^49*q^536+ 11832*p^47*q^538+130*p^45*q^540+1414*p^58*q^526+58636*p^56*q^528+1023556*p^54*q ^530+4311132*p^52*q^532+1264384*p^50*q^534+82070*p^48*q^536+5378*p^46*q^538+30* p^44*q^540+74*p^59*q^524+6118*p^57*q^526+231467*p^55*q^528+2736000*p^53*q^530+ 3325069*p^51*q^532+403844*p^49*q^534+15694*p^47*q^536+1134*p^45*q^538+992*p^58* q^524+49966*p^56*q^526+804771*p^54*q^528+4537788*p^52*q^530+1522484*p^50*q^532+ 116196*p^48*q^534+5070*p^46*q^536+8*p^59*q^522+4845*p^57*q^524+182442*p^55*q^ 526+2489354*p^53*q^528+3795674*p^51*q^530+497747*p^49*q^532+20652*p^47*q^534+ 1892*p^45*q^536+552*p^58*q^522+34926*p^56*q^524+719434*p^54*q^526+4345512*p^52* q^528+1836726*p^50*q^530+136812*p^48*q^532+3494*p^46*q^534+84*p^44*q^536+6150*p ^57*q^522+159962*p^55*q^524+2233236*p^53*q^526+4108153*p^51*q^528+618928*p^49*q ^530+32876*p^47*q^532+2552*p^45*q^534+292*p^58*q^520+21044*p^56*q^522+574750*p^ 54*q^524+4349732*p^52*q^526+2159581*p^50*q^528+185772*p^48*q^530+4640*p^46*q^ 532+380*p^44*q^534+3082*p^57*q^520+135284*p^55*q^522+1886590*p^53*q^524+4625834 *p^51*q^526+770307*p^49*q^528+42500*p^47*q^530+2018*p^45*q^532+22*p^58*q^518+ 23163*p^56*q^520+497516*p^54*q^522+4174626*p^52*q^524+2539822*p^50*q^526+203996 *p^48*q^528+6168*p^46*q^530+596*p^44*q^532+20*p^59*q^516+3018*p^57*q^518+98453* p^55*q^520+1688558*p^53*q^522+4671118*p^51*q^524+972392*p^49*q^526+63756*p^47*q ^528+876*p^45*q^530+36*p^43*q^532+28*p^58*q^516+15300*p^56*q^518+406758*p^54*q^ 520+3959590*p^52*q^522+3000144*p^50*q^524+276342*p^48*q^526+9956*p^46*q^528+ 1326*p^44*q^530+728*p^57*q^516+77678*p^55*q^518+1429681*p^53*q^520+5180186*p^51 *q^522+1145452*p^49*q^524+73462*p^47*q^526+1072*p^45*q^528+40*p^43*q^530+168*p^ 58*q^514+15318*p^56*q^516+358236*p^54*q^518+3634436*p^52*q^520+3428402*p^50*q^ 522+334866*p^48*q^524+15972*p^46*q^526+376*p^44*q^528+4*p^59*q^512+624*p^57*q^ 514+62864*p^55*q^516+1222842*p^53*q^518+5127370*p^51*q^520+1411736*p^49*q^522+ 89293*p^47*q^524+1446*p^45*q^526+406*p^43*q^528+32*p^58*q^512+8736*p^56*q^514+ 275788*p^54*q^516+3356338*p^52*q^518+3888714*p^50*q^520+453668*p^48*q^522+25350 *p^46*q^524+200*p^44*q^526+8*p^59*q^510+637*p^57*q^512+52784*p^55*q^514+1023508 *p^53*q^516+5449346*p^51*q^518+1714205*p^49*q^520+106216*p^47*q^522+2356*p^45*q ^524+298*p^43*q^526+32*p^58*q^510+5206*p^56*q^512+230284*p^54*q^514+3030020*p^ 52*q^516+4360494*p^50*q^518+534913*p^48*q^520+28648*p^46*q^522+96*p^44*q^524+44 *p^42*q^526+4*p^59*q^508+508*p^57*q^510+45776*p^55*q^512+902878*p^53*q^514+ 5122544*p^51*q^516+2068466*p^49*q^518+135483*p^47*q^520+6218*p^45*q^522+20*p^43 *q^524+72*p^58*q^508+3566*p^56*q^510+172642*p^54*q^512+2667222*p^52*q^514+ 4850404*p^50*q^516+692726*p^48*q^518+39380*p^46*q^520+156*p^44*q^522+128*p^42*q ^524+172*p^57*q^508+29144*p^55*q^510+735422*p^53*q^512+5328494*p^51*q^514+ 2401085*p^49*q^516+184514*p^47*q^518+7310*p^45*q^520+64*p^58*q^506+2744*p^56*q^ 508+160638*p^54*q^510+2352432*p^52*q^512+5261500*p^50*q^514+819441*p^48*q^516+ 37450*p^46*q^518+876*p^44*q^520+336*p^57*q^506+25344*p^55*q^508+609552*p^53*q^ 510+4932858*p^51*q^512+2895328*p^49*q^514+234973*p^47*q^516+13082*p^45*q^518+26 *p^41*q^522+12*p^58*q^504+1624*p^56*q^506+116328*p^54*q^508+2050516*p^52*q^510+ 5521358*p^50*q^512+1060016*p^48*q^514+49957*p^46*q^516+1486*p^44*q^518+460*p^57 *q^504+12980*p^55*q^506+502328*p^53*q^508+4829318*p^51*q^510+3398858*p^49*q^512 +290710*p^47*q^514+14378*p^45*q^516+52*p^43*q^518+1450*p^56*q^504+108334*p^54*q ^506+1786156*p^52*q^508+6000012*p^50*q^510+1205127*p^48*q^512+69058*p^46*q^514+ 2352*p^44*q^516+2*p^40*q^520+188*p^57*q^502+10976*p^55*q^504+407286*p^53*q^506+ 4294832*p^51*q^508+3852490*p^49*q^510+383040*p^47*q^512+14118*p^45*q^514+228*p^ 43*q^516+16*p^58*q^500+1786*p^56*q^502+73515*p^54*q^504+1528944*p^52*q^506+ 6084320*p^50*q^508+1578572*p^48*q^510+90012*p^46*q^512+4986*p^44*q^514+36*p^57* q^500+7644*p^55*q^502+335900*p^53*q^504+4090848*p^51*q^506+4370598*p^49*q^508+ 460230*p^47*q^510+16528*p^45*q^512+136*p^43*q^514+1492*p^56*q^500+53428*p^54*q^ 502+1287370*p^52*q^504+6375176*p^50*q^506+1839604*p^48*q^508+116070*p^46*q^510+ 4892*p^44*q^512+16*p^42*q^514+156*p^57*q^498+6794*p^55*q^500+299696*p^53*q^502+ 3601322*p^51*q^504+4932610*p^49*q^506+550122*p^47*q^508+23680*p^45*q^510+980*p^ 43*q^512+644*p^56*q^498+40256*p^54*q^500+1043326*p^52*q^502+6131110*p^50*q^504+ 2298882*p^48*q^506+167496*p^46*q^508+5552*p^44*q^510+28*p^57*q^496+6052*p^55*q^ 498+216842*p^53*q^500+3374014*p^51*q^502+5510392*p^49*q^504+704828*p^47*q^506+ 28342*p^45*q^508+1292*p^43*q^510+684*p^56*q^496+32546*p^54*q^498+906519*p^52*q^ 500+6187094*p^50*q^502+2598690*p^48*q^504+183748*p^46*q^506+4832*p^44*q^508+74* p^42*q^510+4848*p^55*q^496+176350*p^53*q^498+2830904*p^51*q^500+6032936*p^49*q^ 502+874458*p^47*q^504+48418*p^45*q^506+2108*p^43*q^508+472*p^56*q^494+22570*p^ 54*q^496+753954*p^52*q^498+5812037*p^50*q^500+3212676*p^48*q^502+239958*p^46*q^ 504+6744*p^44*q^506+208*p^42*q^508+3044*p^55*q^494+137660*p^53*q^496+2508346*p^ 51*q^498+6436512*p^49*q^500+1096300*p^47*q^502+58570*p^45*q^504+1670*p^43*q^506 +2*p^58*q^490+96*p^56*q^492+21200*p^54*q^494+622270*p^52*q^496+5820216*p^50*q^ 498+3598660*p^48*q^500+284254*p^46*q^502+8756*p^44*q^504+392*p^42*q^506+2938*p^ 55*q^492+107558*p^53*q^494+2145666*p^51*q^496+6753548*p^49*q^498+1336718*p^47*q ^500+80894*p^45*q^502+1242*p^43*q^504+16*p^41*q^506+8*p^58*q^488+52*p^56*q^490+ 15218*p^54*q^492+490264*p^52*q^494+5143180*p^50*q^496+4365462*p^48*q^498+358741 *p^46*q^500+15652*p^44*q^502+824*p^42*q^504+16*p^57*q^488+1376*p^55*q^490+80123 *p^53*q^492+1877950*p^51*q^494+7088342*p^49*q^496+1631374*p^47*q^498+95800*p^45 *q^500+1444*p^43*q^502+20*p^41*q^504+4*p^56*q^488+12632*p^54*q^490+422150*p^52* q^492+4928866*p^50*q^494+4803282*p^48*q^496+453224*p^46*q^498+20366*p^44*q^500+ 256*p^42*q^502+82*p^57*q^486+916*p^55*q^488+67894*p^53*q^490+1524515*p^51*q^492 +7291776*p^49*q^494+1945745*p^47*q^496+111944*p^45*q^498+2638*p^43*q^500+200*p^ 41*q^502+46*p^56*q^486+9164*p^54*q^488+321000*p^52*q^490+4314176*p^50*q^492+ 5562184*p^48*q^494+596933*p^46*q^496+33866*p^44*q^498+296*p^42*q^500+6*p^57*q^ 484+176*p^55*q^486+48298*p^53*q^488+1324134*p^51*q^490+7221762*p^49*q^492+ 2429912*p^47*q^494+133841*p^45*q^496+3112*p^43*q^498+130*p^41*q^500+338*p^56*q^ 484+7004*p^54*q^486+266034*p^52*q^488+4044448*p^50*q^490+6024700*p^48*q^492+ 711976*p^46*q^494+35589*p^44*q^496+196*p^42*q^498+16*p^40*q^500+16*p^57*q^482+ 216*p^55*q^484+43954*p^53*q^486+1089675*p^51*q^488+7130262*p^49*q^490+2802274*p ^47*q^492+172676*p^45*q^494+8896*p^43*q^496+32*p^41*q^498+170*p^56*q^482+3188*p ^54*q^484+193786*p^52*q^486+3384232*p^50*q^488+6881000*p^48*q^490+917020*p^46*q ^492+48726*p^44*q^494+260*p^42*q^496+38*p^40*q^498+738*p^55*q^482+32104*p^53*q^ 484+920480*p^51*q^486+6933669*p^49*q^488+3377690*p^47*q^490+216832*p^45*q^492+ 10068*p^43*q^494+156*p^56*q^480+1672*p^54*q^482+168834*p^52*q^484+3053934*p^50* q^486+7125432*p^48*q^488+1120470*p^46*q^490+45936*p^44*q^492+1274*p^42*q^494+ 1014*p^55*q^480+24936*p^53*q^482+740634*p^51*q^484+6766712*p^49*q^486+3930951*p ^47*q^488+300582*p^45*q^490+15807*p^43*q^492+4*p^39*q^496+30*p^56*q^478+1914*p^ 54*q^480+127858*p^52*q^482+2563725*p^50*q^484+7665418*p^48*q^486+1369614*p^46*q ^488+55148*p^44*q^490+2453*p^42*q^492+752*p^55*q^478+12760*p^53*q^480+595008*p^ 51*q^482+6132168*p^49*q^484+4767484*p^47*q^486+363445*p^45*q^488+19620*p^43*q^ 490+72*p^41*q^492+2780*p^54*q^478+110350*p^52*q^480+2298304*p^50*q^482+7971557* p^48*q^484+1618026*p^46*q^486+77654*p^44*q^488+2788*p^42*q^490+578*p^55*q^476+ 11048*p^53*q^478+481952*p^51*q^480+5771154*p^49*q^482+5133387*p^47*q^484+489590 *p^45*q^486+15350*p^43*q^488+448*p^41*q^490+4*p^56*q^474+2578*p^54*q^476+77318* p^52*q^478+1856876*p^50*q^480+8346160*p^48*q^482+2090662*p^46*q^484+104758*p^44 *q^486+7418*p^42*q^488+48*p^55*q^474+8074*p^53*q^476+384320*p^51*q^478+5176946* p^49*q^480+6066476*p^47*q^482+561999*p^45*q^484+16946*p^43*q^486+164*p^41*q^488 +3180*p^54*q^474+57568*p^52*q^476+1661802*p^50*q^478+8247945*p^48*q^480+2478958 *p^46*q^482+134154*p^44*q^484+6436*p^42*q^486+36*p^40*q^488+84*p^55*q^472+7456* p^53*q^474+326881*p^51*q^476+4649272*p^49*q^478+6529488*p^47*q^480+711488*p^45* q^482+24744*p^43*q^484+1468*p^41*q^486+1266*p^54*q^472+42430*p^52*q^474+1238098 *p^50*q^476+8426204*p^48*q^478+2997056*p^46*q^480+196730*p^44*q^482+6010*p^42*q ^484+8*p^55*q^470+8856*p^53*q^472+247022*p^51*q^474+4230279*p^49*q^476+7419196* p^47*q^478+879064*p^45*q^480+28442*p^43*q^482+2214*p^41*q^484+788*p^54*q^470+ 30946*p^52*q^472+1107944*p^50*q^474+7787714*p^48*q^476+3546958*p^46*q^478+ 216832*p^44*q^480+4614*p^42*q^482+105*p^40*q^484+4*p^57*q^466+7862*p^53*q^470+ 197836*p^51*q^472+3678738*p^49*q^474+7961386*p^47*q^476+1122976*p^45*q^478+ 50836*p^43*q^480+2668*p^41*q^482+322*p^54*q^468+24392*p^52*q^470+885688*p^50*q^ 472+7741826*p^48*q^474+4082934*p^46*q^476+290890*p^44*q^478+5874*p^42*q^480+464 *p^40*q^482+4892*p^53*q^468+147526*p^51*q^470+3072904*p^49*q^472+8707966*p^47*q ^474+1392042*p^45*q^476+64490*p^43*q^478+1878*p^41*q^480+36*p^56*q^464+52*p^54* q^466+24694*p^52*q^468+738900*p^50*q^470+7302264*p^48*q^472+4816462*p^46*q^474+ 322684*p^44*q^476+7922*p^42*q^478+600*p^40*q^480+4*p^55*q^464+3758*p^53*q^466+ 115888*p^51*q^468+2710228*p^49*q^470+8664594*p^47*q^472+1718702*p^45*q^474+ 91310*p^43*q^476+1004*p^41*q^478+46*p^39*q^480+12*p^56*q^462+66*p^54*q^464+ 20356*p^52*q^466+563784*p^50*q^468+6756040*p^48*q^470+5627896*p^46*q^472+443316 *p^44*q^474+14416*p^42*q^476+1174*p^40*q^478+112*p^55*q^462+1014*p^53*q^464+ 82354*p^51*q^466+2256380*p^49*q^468+9450618*p^47*q^470+2045737*p^45*q^472+ 101468*p^43*q^474+1152*p^41*q^476+40*p^39*q^478+48*p^54*q^462+18986*p^52*q^464+ 498268*p^50*q^466+6124916*p^48*q^468+6377092*p^46*q^470+545638*p^44*q^472+21356 *p^42*q^474+252*p^40*q^476+168*p^55*q^460+1046*p^53*q^462+70586*p^51*q^464+ 1910850*p^49*q^466+9135844*p^47*q^468+2495332*p^45*q^470+122078*p^43*q^472+1848 *p^41*q^474+374*p^39*q^476+152*p^54*q^460+10230*p^52*q^462+357446*p^50*q^464+ 5555270*p^48*q^466+7127651*p^46*q^468+742342*p^44*q^470+34718*p^42*q^472+216*p^ 40*q^474+12*p^55*q^458+386*p^53*q^460+62050*p^51*q^462+1560455*p^49*q^464+ 9584228*p^47*q^466+2973816*p^45*q^468+147844*p^43*q^470+2752*p^41*q^472+196*p^ 39*q^474+676*p^54*q^458+7828*p^52*q^460+287140*p^50*q^462+4947881*p^48*q^464+ 7894018*p^46*q^466+863472*p^44*q^468+35694*p^42*q^470+100*p^40*q^472+44*p^38*q^ 474+4*p^55*q^456+368*p^53*q^458+51288*p^51*q^460+1339212*p^49*q^462+8881565*p^ 47*q^464+3666438*p^45*q^466+196278*p^43*q^468+8450*p^41*q^470+20*p^39*q^472+332 *p^54*q^456+4222*p^52*q^458+222460*p^50*q^460+4291548*p^48*q^462+8664135*p^46*q ^464+1096390*p^44*q^466+45000*p^42*q^468+148*p^40*q^470+94*p^38*q^472+1084*p^53 *q^456+36656*p^51*q^458+1055836*p^49*q^460+9042570*p^47*q^462+4187446*p^45*q^ 464+271144*p^43*q^466+9580*p^41*q^468+100*p^54*q^454+2540*p^52*q^456+186520*p^ 50*q^458+3714700*p^48*q^460+9319666*p^46*q^462+1333366*p^44*q^464+43340*p^42*q^ 466+1080*p^40*q^468+1756*p^53*q^454+31580*p^51*q^456+886164*p^49*q^458+8256691* p^47*q^460+5019888*p^45*q^462+339055*p^43*q^464+13960*p^41*q^466+22*p^37*q^470+ 20*p^54*q^452+2036*p^52*q^454+138496*p^50*q^456+3186004*p^48*q^458+9539135*p^46 *q^460+1706648*p^44*q^462+64102*p^42*q^464+2102*p^40*q^466+892*p^53*q^452+16124 *p^51*q^454+686394*p^49*q^456+7939596*p^47*q^458+5859385*p^45*q^460+415340*p^43 *q^462+14586*p^41*q^464+44*p^39*q^466+3568*p^52*q^452+129850*p^50*q^454+2727120 *p^48*q^456+10342046*p^46*q^458+1922884*p^44*q^460+87974*p^42*q^462+2424*p^40*q ^464+2*p^36*q^468+524*p^53*q^450+13306*p^51*q^452+551702*p^49*q^454+7014584*p^ 47*q^456+6585902*p^45*q^458+565050*p^43*q^460+13906*p^41*q^462+356*p^39*q^464+4 *p^54*q^448+3700*p^52*q^450+89464*p^50*q^452+2295196*p^48*q^454+10266217*p^46*q ^456+2557218*p^44*q^458+114616*p^42*q^460+5094*p^40*q^462+44*p^53*q^448+8818*p^ 51*q^450+424878*p^49*q^452+6544922*p^47*q^454+7446274*p^45*q^456+655240*p^43*q^ 458+17306*p^41*q^460+124*p^39*q^462+3362*p^52*q^448+71266*p^50*q^450+1947502*p^ 48*q^452+10599980*p^46*q^454+2942289*p^44*q^456+151966*p^42*q^458+4484*p^40*q^ 460+28*p^38*q^462+112*p^53*q^446+8702*p^51*q^448+372512*p^49*q^450+5591714*p^47 *q^452+8323302*p^45*q^454+813865*p^43*q^456+26048*p^41*q^458+932*p^39*q^460+2*p ^56*q^442+1404*p^52*q^446+50124*p^50*q^448+1516780*p^48*q^450+10206719*p^46*q^ 452+3700046*p^44*q^454+211002*p^42*q^456+4398*p^40*q^458+20*p^53*q^444+10148*p^ 51*q^446+284407*p^49*q^448+5233704*p^47*q^450+9029079*p^45*q^452+1031384*p^43*q ^454+32294*p^41*q^456+1352*p^39*q^458+924*p^52*q^444+33562*p^50*q^446+1264240*p ^48*q^448+10014140*p^46*q^450+4205416*p^44*q^452+241548*p^42*q^454+4138*p^40*q^ 456+58*p^38*q^458+23*p^55*q^440+9188*p^51*q^444+234150*p^49*q^446+4424689*p^47* q^448+10022828*p^45*q^450+1266841*p^43*q^452+54144*p^41*q^454+1480*p^39*q^456+ 540*p^52*q^442+26744*p^50*q^444+1030070*p^48*q^446+9226810*p^46*q^448+5080356*p ^44*q^450+320384*p^42*q^452+7048*p^40*q^454+224*p^38*q^456+5060*p^51*q^442+ 166934*p^49*q^444+3800706*p^47*q^446+10571356*p^45*q^448+1620692*p^43*q^450+ 64434*p^41*q^452+1180*p^39*q^454+102*p^54*q^438+84*p^52*q^440+29160*p^50*q^442+ 857222*p^48*q^444+9164798*p^46*q^446+5685884*p^44*q^448+358108*p^42*q^450+8668* p^40*q^452+284*p^38*q^454+8*p^53*q^438+4788*p^51*q^440+130616*p^49*q^442+ 3161738*p^47*q^444+10940278*p^45*q^446+1978986*p^43*q^448+96682*p^41*q^450+1208 *p^39*q^452+16*p^37*q^454+36*p^54*q^436+24*p^52*q^438+21818*p^50*q^440+669438*p ^48*q^442+8078086*p^46*q^444+6944690*p^44*q^446+481952*p^42*q^448+13520*p^40*q^ 450+572*p^38*q^452+220*p^53*q^436+1696*p^51*q^438+94298*p^49*q^440+2764654*p^47 *q^442+11224796*p^45*q^444+2408680*p^43*q^446+105953*p^41*q^448+1454*p^39*q^450 +16*p^37*q^452+116*p^52*q^436+20942*p^50*q^438+548940*p^48*q^440+7591694*p^46*q ^442+7533542*p^44*q^444+606902*p^42*q^446+20794*p^40*q^448+212*p^38*q^450+296*p ^53*q^434+776*p^51*q^436+79874*p^49*q^438+2220236*p^47*q^440+11513298*p^45*q^ 442+2853590*p^43*q^444+130250*p^41*q^446+1764*p^39*q^448+128*p^37*q^450+262*p^ 52*q^434+13598*p^50*q^436+422928*p^48*q^438+6580531*p^46*q^440+8738730*p^44*q^ 442+799478*p^42*q^444+33758*p^40*q^446+312*p^38*q^448+32*p^53*q^432+684*p^51*q^ 434+66066*p^49*q^436+1850484*p^47*q^438+11302946*p^45*q^440+3560886*p^43*q^442+ 155138*p^41*q^444+2486*p^39*q^446+116*p^37*q^448+895*p^52*q^432+7800*p^50*q^434 +323258*p^48*q^436+6106650*p^46*q^438+9351258*p^44*q^440+970118*p^42*q^442+ 34004*p^40*q^444+104*p^38*q^446+8*p^36*q^448+32*p^53*q^430+709*p^51*q^432+62014 *p^49*q^434+1547304*p^47*q^436+11022150*p^45*q^438+4134463*p^43*q^440+208242*p^ 41*q^442+7476*p^39*q^444+32*p^37*q^446+394*p^52*q^430+4714*p^50*q^432+246410*p^ 48*q^434+5003646*p^46*q^436+10617414*p^44*q^438+1223430*p^42*q^440+46714*p^40*q ^442+152*p^38*q^444+36*p^36*q^446+1352*p^51*q^430+39520*p^49*q^432+1259768*p^47 *q^434+10633324*p^45*q^436+5001202*p^43*q^438+281574*p^41*q^440+7970*p^39*q^442 +314*p^52*q^428+4214*p^50*q^430+218478*p^48*q^432+4509822*p^46*q^434+10820439*p ^44*q^436+1480630*p^42*q^438+43422*p^40*q^440+866*p^38*q^442+1522*p^51*q^428+ 32306*p^49*q^430+981616*p^47*q^432+10178418*p^45*q^434+5775670*p^43*q^436+ 371686*p^41*q^438+13504*p^39*q^440+4*p^35*q^444+92*p^52*q^426+2975*p^50*q^428+ 159678*p^48*q^430+3728337*p^46*q^432+11726588*p^44*q^434+1853076*p^42*q^436+ 65740*p^40*q^438+1578*p^38*q^440+1392*p^51*q^426+20138*p^49*q^428+807708*p^47*q ^430+9238368*p^45*q^432+6943086*p^43*q^434+434732*p^41*q^436+12522*p^39*q^438+ 40*p^37*q^440+3368*p^50*q^426+136926*p^48*q^428+3276974*p^46*q^430+12014899*p^ 44*q^432+2211042*p^42*q^434+94778*p^40*q^436+2234*p^38*q^438+1016*p^51*q^424+ 17180*p^49*q^426+629578*p^47*q^428+8552676*p^45*q^430+7514021*p^43*q^432+582230 *p^41*q^434+13040*p^39*q^436+244*p^37*q^438+32*p^52*q^422+3486*p^50*q^424+98910 *p^48*q^426+2623798*p^46*q^428+12485346*p^44*q^430+2821113*p^42*q^432+122026*p^ 40*q^434+4066*p^38*q^436+152*p^51*q^422+11627*p^49*q^424+493734*p^47*q^426+ 7619001*p^45*q^428+8845002*p^43*q^430+687870*p^41*q^432+18936*p^39*q^434+108*p^ 37*q^436+4312*p^50*q^422+76963*p^48*q^424+2301444*p^46*q^426+12174588*p^44*q^ 428+3382068*p^42*q^430+148387*p^40*q^432+3024*p^38*q^434+16*p^36*q^436+382*p^51 *q^420+8996*p^49*q^422+416208*p^47*q^424+6802910*p^45*q^426+9465531*p^43*q^428+ 877956*p^41*q^430+29068*p^39*q^432+824*p^37*q^434+2020*p^50*q^420+61170*p^48*q^ 422+1729322*p^46*q^424+12352816*p^44*q^426+4054088*p^42*q^428+214790*p^40*q^430 +3932*p^38*q^432+60*p^51*q^418+10256*p^49*q^420+304464*p^47*q^422+6030277*p^45* q^424+10783418*p^43*q^426+1089940*p^41*q^428+34478*p^39*q^430+656*p^37*q^432+ 1982*p^50*q^418+42758*p^48*q^420+1510082*p^46*q^422+11487798*p^44*q^424+4812310 *p^42*q^426+232620*p^40*q^428+4832*p^38*q^430+70*p^36*q^432+9738*p^49*q^418+ 256492*p^47*q^420+5236224*p^45*q^422+11309536*p^43*q^424+1387714*p^41*q^426+ 54438*p^39*q^428+1090*p^37*q^430+978*p^50*q^416+29878*p^48*q^418+1144958*p^46*q ^420+11202492*p^44*q^422+5631311*p^42*q^424+322238*p^40*q^426+8196*p^38*q^428+ 96*p^36*q^430+7426*p^49*q^416+200390*p^47*q^418+4383371*p^45*q^420+12496918*p^ 43*q^422+1711548*p^41*q^424+62308*p^39*q^426+822*p^37*q^428+216*p^50*q^414+ 30550*p^48*q^416+971804*p^46*q^418+10395434*p^44*q^420+6562930*p^42*q^422+ 372254*p^40*q^424+9450*p^38*q^426+184*p^36*q^428+28*p^51*q^412+6306*p^49*q^414+ 145508*p^47*q^416+3796444*p^45*q^418+12338794*p^43*q^420+2173996*p^41*q^422+ 88890*p^39*q^424+1296*p^37*q^426+8*p^35*q^428+180*p^50*q^412+24486*p^48*q^414+ 747040*p^46*q^416+9629974*p^44*q^418+7604970*p^42*q^420+490466*p^40*q^422+15212 *p^38*q^424+308*p^36*q^426+2362*p^49*q^412+109466*p^47*q^414+3085648*p^45*q^416 +13338448*p^43*q^418+2550584*p^41*q^420+106058*p^39*q^422+1758*p^37*q^424+8*p^ 35*q^426+272*p^50*q^410+23826*p^48*q^412+630768*p^46*q^414+8719090*p^44*q^416+ 8690334*p^42*q^418+616287*p^40*q^420+19908*p^38*q^422+96*p^36*q^424+8*p^51*q^ 408+2190*p^49*q^410+91424*p^47*q^412+2613664*p^45*q^414+12844208*p^43*q^416+ 3154540*p^41*q^418+123496*p^39*q^420+2454*p^37*q^422+80*p^35*q^424+60*p^50*q^ 408+14978*p^48*q^410+459550*p^46*q^412+7774786*p^44*q^414+9657929*p^42*q^416+ 837410*p^40*q^418+31948*p^38*q^420+356*p^36*q^422+4*p^51*q^406+1364*p^49*q^408+ 73570*p^47*q^410+2097415*p^45*q^412+13383274*p^43*q^414+3784848*p^41*q^416+ 152186*p^39*q^418+2940*p^37*q^420+14*p^35*q^422+60*p^50*q^406+12081*p^48*q^408+ 380472*p^46*q^410+6887678*p^44*q^412+10724758*p^42*q^414+981614*p^40*q^416+ 32656*p^38*q^418+180*p^36*q^420+8*p^34*q^422+8*p^51*q^404+1080*p^49*q^406+65612 *p^47*q^408+1762498*p^45*q^410+12317054*p^43*q^412+4620060*p^41*q^414+205404*p^ 39*q^416+8026*p^37*q^418+36*p^35*q^420+44*p^50*q^404+7222*p^48*q^406+275416*p^ 46*q^408+5932744*p^44*q^410+11613742*p^42*q^412+1275006*p^40*q^414+43960*p^38*q ^416+248*p^36*q^418+2*p^34*q^420+396*p^49*q^404+46334*p^47*q^406+1401186*p^45*q ^408+12490356*p^43*q^410+5311749*p^41*q^412+274490*p^39*q^414+8134*p^37*q^416+ 100*p^50*q^402+6648*p^48*q^404+243630*p^46*q^406+5070217*p^44*q^408+12522936*p^ 42*q^410+1531710*p^40*q^412+43298*p^38*q^414+1180*p^36*q^416+344*p^49*q^402+ 39259*p^47*q^404+1139696*p^45*q^406+11391184*p^43*q^408+6429292*p^41*q^410+ 355069*p^39*q^412+12746*p^37*q^414+28*p^50*q^400+3858*p^48*q^402+177157*p^46*q^ 404+4361828*p^44*q^406+12784043*p^42*q^408+1964316*p^40*q^410+60310*p^38*q^412+ 2028*p^36*q^414+508*p^49*q^400+26538*p^47*q^402+875660*p^45*q^404+10739096*p^43 *q^406+7427340*p^41*q^408+433898*p^39*q^410+14654*p^37*q^412+68*p^35*q^414+2168 *p^48*q^400+156600*p^46*q^402+3656735*p^44*q^404+13884484*p^42*q^406+2269749*p^ 40*q^408+85930*p^38*q^410+2082*p^36*q^412+410*p^49*q^398+23436*p^47*q^400+ 725092*p^45*q^402+9516082*p^43*q^404+8325284*p^41*q^406+574249*p^39*q^408+12944 *p^37*q^410+388*p^35*q^412+8*p^50*q^396+1914*p^48*q^398+113568*p^46*q^400+ 3011316*p^44*q^402+13608982*p^42*q^404+3066846*p^40*q^406+110574*p^38*q^408+ 5414*p^36*q^410+64*p^49*q^396+13508*p^47*q^398+542289*p^45*q^400+8921926*p^43*q ^402+9401787*p^41*q^404+685842*p^39*q^406+16328*p^37*q^408+128*p^35*q^410+2488* p^48*q^396+92320*p^46*q^398+2562475*p^44*q^400+13973560*p^42*q^402+3457725*p^40 *q^404+139886*p^38*q^406+4424*p^36*q^408+32*p^34*q^410+132*p^49*q^394+9698*p^47 *q^396+476208*p^45*q^398+7507857*p^43*q^400+10639092*p^41*q^402+883390*p^39*q^ 404+24940*p^37*q^406+1078*p^35*q^408+1116*p^48*q^394+72016*p^46*q^396+1957872*p ^44*q^398+13471572*p^42*q^400+4340894*p^40*q^402+195935*p^38*q^404+4718*p^36*q^ 406+20*p^49*q^392+8940*p^47*q^394+346050*p^45*q^396+6998676*p^43*q^398+11420381 *p^41*q^400+1114258*p^39*q^402+27468*p^37*q^404+1564*p^35*q^406+922*p^48*q^392+ 52192*p^46*q^394+1645960*p^44*q^396+13125136*p^42*q^398+4984130*p^40*q^400+ 228078*p^38*q^402+4088*p^36*q^404+78*p^34*q^406+8056*p^47*q^392+293502*p^45*q^ 394+5774910*p^43*q^396+12732060*p^41*q^398+1398458*p^39*q^400+45376*p^37*q^402+ 1936*p^35*q^404+492*p^48*q^390+34627*p^46*q^392+1342334*p^44*q^394+12193982*p^ 42*q^396+6036400*p^40*q^398+303638*p^38*q^400+5570*p^36*q^402+352*p^34*q^404+ 4756*p^47*q^390+224594*p^45*q^392+4961606*p^43*q^394+13199323*p^41*q^396+ 1775462*p^39*q^398+57570*p^37*q^400+1470*p^35*q^402+2*p^50*q^386+86*p^48*q^388+ 33142*p^46*q^390+1060692*p^44*q^392+11965050*p^42*q^394+6786757*p^40*q^396+ 361232*p^38*q^398+6529*p^36*q^400+444*p^34*q^402+20*p^49*q^386+4546*p^47*q^388+ 175630*p^45*q^390+4178756*p^43*q^392+13765962*p^41*q^394+2153573*p^39*q^396+ 82768*p^37*q^398+894*p^35*q^400+36*p^33*q^402+8*p^50*q^384+64*p^48*q^386+23416* p^46*q^388+839268*p^44*q^390+10428288*p^42*q^392+8262556*p^40*q^394+483164*p^38 *q^396+11882*p^36*q^398+952*p^34*q^400+14*p^49*q^384+1474*p^47*q^386+124808*p^ 45*q^388+3537938*p^43*q^390+14208040*p^41*q^392+2654672*p^39*q^394+91546*p^37*q ^396+896*p^35*q^398+32*p^33*q^400+192*p^48*q^384+22062*p^46*q^386+710274*p^44*q ^388+9844644*p^42*q^390+8919654*p^40*q^392+607286*p^38*q^394+16880*p^36*q^396+ 210*p^34*q^398+80*p^49*q^382+1180*p^47*q^384+101814*p^45*q^386+2822500*p^43*q^ 388+14424670*p^41*q^390+3177992*p^39*q^392+118726*p^37*q^394+1490*p^35*q^396+ 314*p^33*q^398+62*p^48*q^382+13640*p^46*q^384+539884*p^44*q^386+8456385*p^42*q^ 388+10442294*p^40*q^390+815952*p^38*q^392+27396*p^36*q^394+152*p^34*q^396+8*p^ 49*q^380+908*p^47*q^382+80246*p^45*q^384+2367150*p^43*q^386+14109163*p^41*q^388 +3942006*p^39*q^390+139364*p^37*q^392+1808*p^35*q^394+182*p^33*q^396+312*p^48*q ^380+9558*p^46*q^382+420344*p^44*q^384+7812562*p^42*q^386+11047307*p^40*q^388+ 980800*p^38*q^390+30320*p^36*q^392+80*p^34*q^394+38*p^32*q^396+8*p^49*q^378+648 *p^47*q^380+69606*p^45*q^382+1946682*p^43*q^384+13752984*p^41*q^386+4605264*p^ 39*q^388+194410*p^37*q^390+5886*p^35*q^392+12*p^33*q^394+178*p^48*q^378+5930*p^ 46*q^380+314484*p^44*q^382+6390598*p^42*q^384+12696918*p^40*q^386+1253519*p^38* q^388+38294*p^36*q^390+76*p^34*q^392+92*p^32*q^394+664*p^47*q^378+49158*p^45*q^ 380+1596228*p^43*q^382+13239558*p^41*q^384+5539112*p^39*q^386+254266*p^37*q^388 +7406*p^35*q^390+88*p^48*q^376+4042*p^46*q^378+261240*p^44*q^380+5688642*p^42*q ^382+12894073*p^40*q^384+1546772*p^38*q^386+37814*p^36*q^388+618*p^34*q^390+ 1006*p^47*q^376+41596*p^45*q^378+1254448*p^43*q^380+12701728*p^41*q^382+6423513 *p^39*q^384+340964*p^37*q^386+11040*p^35*q^388+22*p^31*q^392+44*p^48*q^374+2722 *p^46*q^376+202908*p^44*q^378+4651730*p^42*q^380+13869256*p^40*q^382+1918417*p^ 38*q^384+53096*p^36*q^386+1400*p^34*q^388+576*p^47*q^374+21770*p^45*q^376+ 982660*p^43*q^378+11453319*p^41*q^380+7828994*p^39*q^382+417504*p^37*q^384+ 12052*p^35*q^386+16*p^33*q^388+3066*p^46*q^374+180126*p^44*q^376+4158860*p^42*q ^378+14168906*p^40*q^380+2274856*p^38*q^382+72944*p^36*q^384+1816*p^34*q^386+2* p^30*q^390+596*p^47*q^372+18160*p^45*q^374+784087*p^43*q^376+10490044*p^41*q^ 378+8395258*p^39*q^380+576674*p^37*q^382+11214*p^35*q^384+192*p^33*q^386+16*p^ 48*q^370+2522*p^46*q^372+123102*p^44*q^374+3259736*p^42*q^376+14944472*p^40*q^ 378+2943546*p^38*q^380+100372*p^36*q^382+3968*p^34*q^384+56*p^47*q^370+12804*p^ 45*q^372+626016*p^43*q^374+9395701*p^41*q^376+9816180*p^39*q^378+655766*p^37*q^ 380+12388*p^35*q^382+82*p^33*q^384+3110*p^46*q^370+92600*p^44*q^372+2816488*p^ 42*q^374+14422414*p^40*q^376+3557734*p^38*q^378+135474*p^36*q^380+4046*p^34*q^ 382+12*p^32*q^384+198*p^47*q^368+9788*p^45*q^370+523190*p^43*q^372+8379914*p^41 *q^374+10607202*p^39*q^376+840406*p^37*q^378+18824*p^35*q^380+676*p^33*q^382+ 1500*p^46*q^368+70582*p^44*q^370+2138256*p^42*q^372+14569494*p^40*q^374+4250014 *p^38*q^376+191882*p^36*q^378+3180*p^34*q^380+40*p^47*q^366+9584*p^45*q^368+ 392794*p^43*q^370+7342519*p^41*q^372+12115330*p^39*q^374+1071690*p^37*q^376+ 23616*p^35*q^378+1188*p^33*q^380+1096*p^46*q^366+50436*p^44*q^368+1841566*p^42* q^370+13571393*p^40*q^372+5030716*p^38*q^374+211589*p^36*q^376+2756*p^34*q^378+ 36*p^32*q^380+4*p^49*q^362+9636*p^45*q^366+315927*p^43*q^368+6410180*p^41*q^370 +12655862*p^39*q^372+1375476*p^37*q^374+45104*p^35*q^376+1314*p^33*q^378+740*p^ 46*q^364+34768*p^44*q^366+1436094*p^42*q^368+13186850*p^40*q^370+5884492*p^38*q ^372+293756*p^36*q^374+3716*p^34*q^376+180*p^32*q^378+5396*p^45*q^364+242076*p^ 43*q^366+5277831*p^41*q^368+14016228*p^39*q^370+1681806*p^37*q^372+53300*p^35*q ^374+920*p^33*q^376+36*p^48*q^360+120*p^46*q^362+35182*p^44*q^364+1189580*p^42* q^366+12311978*p^40*q^368+6882402*p^38*q^370+332250*p^36*q^372+6150*p^34*q^374+ 284*p^32*q^376+8*p^47*q^360+5676*p^45*q^362+181996*p^43*q^364+4566482*p^41*q^ 366+13799597*p^39*q^368+2136406*p^37*q^370+76698*p^35*q^372+572*p^33*q^374+12*p ^31*q^376+8*p^48*q^358+64*p^46*q^360+24744*p^44*q^362+914084*p^42*q^364+ 11370436*p^40*q^366+8049016*p^38*q^368+463140*p^36*q^370+10800*p^34*q^372+496*p ^32*q^374+116*p^47*q^358+2058*p^45*q^360+134062*p^43*q^362+3727465*p^41*q^364+ 14963790*p^39*q^366+2509556*p^37*q^368+85156*p^35*q^370+612*p^33*q^372+16*p^31* q^374+88*p^46*q^358+24926*p^44*q^360+781492*p^42*q^362+10148536*p^40*q^364+ 9160756*p^38*q^366+576538*p^36*q^368+16148*p^34*q^370+184*p^32*q^372+120*p^47*q ^356+1288*p^45*q^358+106764*p^43*q^360+3113856*p^41*q^362+14378344*p^39*q^364+ 3113856*p^37*q^366+106764*p^35*q^368+1288*p^33*q^370+120*p^31*q^372+184*p^46*q^ 356+16148*p^44*q^358+576538*p^42*q^360+9160756*p^40*q^362+10148536*p^38*q^364+ 781492*p^36*q^366+24926*p^34*q^368+88*p^32*q^370+16*p^47*q^354+612*p^45*q^356+ 85156*p^43*q^358+2509556*p^41*q^360+14963790*p^39*q^362+3727465*p^37*q^364+ 134062*p^35*q^366+2058*p^33*q^368+116*p^31*q^370+496*p^46*q^354+10800*p^44*q^ 356+463140*p^42*q^358+8049016*p^40*q^360+11370436*p^38*q^362+914084*p^36*q^364+ 24744*p^34*q^366+64*p^32*q^368+8*p^30*q^370+12*p^47*q^352+572*p^45*q^354+76698* p^43*q^356+2136406*p^41*q^358+13799597*p^39*q^360+4566482*p^37*q^362+181996*p^ 35*q^364+5676*p^33*q^366+8*p^31*q^368+284*p^46*q^352+6150*p^44*q^354+332250*p^ 42*q^356+6882402*p^40*q^358+12311978*p^38*q^360+1189580*p^36*q^362+35182*p^34*q ^364+120*p^32*q^366+36*p^30*q^368+920*p^45*q^352+53300*p^43*q^354+1681806*p^41* q^356+14016228*p^39*q^358+5277831*p^37*q^360+242076*p^35*q^362+5396*p^33*q^364+ 180*p^46*q^350+3716*p^44*q^352+293756*p^42*q^354+5884492*p^40*q^356+13186850*p^ 38*q^358+1436094*p^36*q^360+34768*p^34*q^362+740*p^32*q^364+1314*p^45*q^350+ 45104*p^43*q^352+1375476*p^41*q^354+12655862*p^39*q^356+6410180*p^37*q^358+ 315927*p^35*q^360+9636*p^33*q^362+4*p^29*q^366+36*p^46*q^348+2756*p^44*q^350+ 211589*p^42*q^352+5030716*p^40*q^354+13571393*p^38*q^356+1841566*p^36*q^358+ 50436*p^34*q^360+1096*p^32*q^362+1188*p^45*q^348+23616*p^43*q^350+1071690*p^41* q^352+12115330*p^39*q^354+7342519*p^37*q^356+392794*p^35*q^358+9584*p^33*q^360+ 40*p^31*q^362+3180*p^44*q^348+191882*p^42*q^350+4250014*p^40*q^352+14569494*p^ 38*q^354+2138256*p^36*q^356+70582*p^34*q^358+1500*p^32*q^360+676*p^45*q^346+ 18824*p^43*q^348+840406*p^41*q^350+10607202*p^39*q^352+8379914*p^37*q^354+ 523190*p^35*q^356+9788*p^33*q^358+198*p^31*q^360+12*p^46*q^344+4046*p^44*q^346+ 135474*p^42*q^348+3557734*p^40*q^350+14422414*p^38*q^352+2816488*p^36*q^354+ 92600*p^34*q^356+3110*p^32*q^358+82*p^45*q^344+12388*p^43*q^346+655766*p^41*q^ 348+9816180*p^39*q^350+9395701*p^37*q^352+626016*p^35*q^354+12804*p^33*q^356+56 *p^31*q^358+3968*p^44*q^344+100372*p^42*q^346+2943546*p^40*q^348+14944472*p^38* q^350+3259736*p^36*q^352+123102*p^34*q^354+2522*p^32*q^356+16*p^30*q^358+192*p^ 45*q^342+11214*p^43*q^344+576674*p^41*q^346+8395258*p^39*q^348+10490044*p^37*q^ 350+784087*p^35*q^352+18160*p^33*q^354+596*p^31*q^356+2*p^48*q^338+1816*p^44*q^ 342+72944*p^42*q^344+2274856*p^40*q^346+14168906*p^38*q^348+4158860*p^36*q^350+ 180126*p^34*q^352+3066*p^32*q^354+16*p^45*q^340+12052*p^43*q^342+417504*p^41*q^ 344+7828994*p^39*q^346+11453319*p^37*q^348+982660*p^35*q^350+21770*p^33*q^352+ 576*p^31*q^354+1400*p^44*q^340+53096*p^42*q^342+1918417*p^40*q^344+13869256*p^ 38*q^346+4651730*p^36*q^348+202908*p^34*q^350+2722*p^32*q^352+44*p^30*q^354+22* p^47*q^336+11040*p^43*q^340+340964*p^41*q^342+6423513*p^39*q^344+12701728*p^37* q^346+1254448*p^35*q^348+41596*p^33*q^350+1006*p^31*q^352+618*p^44*q^338+37814* p^42*q^340+1546772*p^40*q^342+12894073*p^38*q^344+5688642*p^36*q^346+261240*p^ 34*q^348+4042*p^32*q^350+88*p^30*q^352+7406*p^43*q^338+254266*p^41*q^340+ 5539112*p^39*q^342+13239558*p^37*q^344+1596228*p^35*q^346+49158*p^33*q^348+664* p^31*q^350+92*p^46*q^334+76*p^44*q^336+38294*p^42*q^338+1253519*p^40*q^340+ 12696918*p^38*q^342+6390598*p^36*q^344+314484*p^34*q^346+5930*p^32*q^348+178*p^ 30*q^350+12*p^45*q^334+5886*p^43*q^336+194410*p^41*q^338+4605264*p^39*q^340+ 13752984*p^37*q^342+1946682*p^35*q^344+69606*p^33*q^346+648*p^31*q^348+8*p^29*q ^350+38*p^46*q^332+80*p^44*q^334+30320*p^42*q^336+980800*p^40*q^338+11047307*p^ 38*q^340+7812562*p^36*q^342+420344*p^34*q^344+9558*p^32*q^346+312*p^30*q^348+ 182*p^45*q^332+1808*p^43*q^334+139364*p^41*q^336+3942006*p^39*q^338+14109163*p^ 37*q^340+2367150*p^35*q^342+80246*p^33*q^344+908*p^31*q^346+8*p^29*q^348+152*p^ 44*q^332+27396*p^42*q^334+815952*p^40*q^336+10442294*p^38*q^338+8456385*p^36*q^ 340+539884*p^34*q^342+13640*p^32*q^344+62*p^30*q^346+314*p^45*q^330+1490*p^43*q ^332+118726*p^41*q^334+3177992*p^39*q^336+14424670*p^37*q^338+2822500*p^35*q^ 340+101814*p^33*q^342+1180*p^31*q^344+80*p^29*q^346+210*p^44*q^330+16880*p^42*q ^332+607286*p^40*q^334+8919654*p^38*q^336+9844644*p^36*q^338+710274*p^34*q^340+ 22062*p^32*q^342+192*p^30*q^344+32*p^45*q^328+896*p^43*q^330+91546*p^41*q^332+ 2654672*p^39*q^334+14208040*p^37*q^336+3537938*p^35*q^338+124808*p^33*q^340+ 1474*p^31*q^342+14*p^29*q^344+952*p^44*q^328+11882*p^42*q^330+483164*p^40*q^332 +8262556*p^38*q^334+10428288*p^36*q^336+839268*p^34*q^338+23416*p^32*q^340+64*p ^30*q^342+8*p^28*q^344+36*p^45*q^326+894*p^43*q^328+82768*p^41*q^330+2153573*p^ 39*q^332+13765962*p^37*q^334+4178756*p^35*q^336+175630*p^33*q^338+4546*p^31*q^ 340+20*p^29*q^342+444*p^44*q^326+6529*p^42*q^328+361232*p^40*q^330+6786757*p^38 *q^332+11965050*p^36*q^334+1060692*p^34*q^336+33142*p^32*q^338+86*p^30*q^340+2* p^28*q^342+1470*p^43*q^326+57570*p^41*q^328+1775462*p^39*q^330+13199323*p^37*q^ 332+4961606*p^35*q^334+224594*p^33*q^336+4756*p^31*q^338+352*p^44*q^324+5570*p^ 42*q^326+303638*p^40*q^328+6036400*p^38*q^330+12193982*p^36*q^332+1342334*p^34* q^334+34627*p^32*q^336+492*p^30*q^338+1936*p^43*q^324+45376*p^41*q^326+1398458* p^39*q^328+12732060*p^37*q^330+5774910*p^35*q^332+293502*p^33*q^334+8056*p^31*q ^336+78*p^44*q^322+4088*p^42*q^324+228078*p^40*q^326+4984130*p^38*q^328+ 13125136*p^36*q^330+1645960*p^34*q^332+52192*p^32*q^334+922*p^30*q^336+1564*p^ 43*q^322+27468*p^41*q^324+1114258*p^39*q^326+11420381*p^37*q^328+6998676*p^35*q ^330+346050*p^33*q^332+8940*p^31*q^334+20*p^29*q^336+4718*p^42*q^322+195935*p^ 40*q^324+4340894*p^38*q^326+13471572*p^36*q^328+1957872*p^34*q^330+72016*p^32*q ^332+1116*p^30*q^334+1078*p^43*q^320+24940*p^41*q^322+883390*p^39*q^324+ 10639092*p^37*q^326+7507857*p^35*q^328+476208*p^33*q^330+9698*p^31*q^332+132*p^ 29*q^334+32*p^44*q^318+4424*p^42*q^320+139886*p^40*q^322+3457725*p^38*q^324+ 13973560*p^36*q^326+2562475*p^34*q^328+92320*p^32*q^330+2488*p^30*q^332+128*p^ 43*q^318+16328*p^41*q^320+685842*p^39*q^322+9401787*p^37*q^324+8921926*p^35*q^ 326+542289*p^33*q^328+13508*p^31*q^330+64*p^29*q^332+5414*p^42*q^318+110574*p^ 40*q^320+3066846*p^38*q^322+13608982*p^36*q^324+3011316*p^34*q^326+113568*p^32* q^328+1914*p^30*q^330+8*p^28*q^332+388*p^43*q^316+12944*p^41*q^318+574249*p^39* q^320+8325284*p^37*q^322+9516082*p^35*q^324+725092*p^33*q^326+23436*p^31*q^328+ 410*p^29*q^330+2082*p^42*q^316+85930*p^40*q^318+2269749*p^38*q^320+13884484*p^ 36*q^322+3656735*p^34*q^324+156600*p^32*q^326+2168*p^30*q^328+68*p^43*q^314+ 14654*p^41*q^316+433898*p^39*q^318+7427340*p^37*q^320+10739096*p^35*q^322+ 875660*p^33*q^324+26538*p^31*q^326+508*p^29*q^328+2028*p^42*q^314+60310*p^40*q^ 316+1964316*p^38*q^318+12784043*p^36*q^320+4361828*p^34*q^322+177157*p^32*q^324 +3858*p^30*q^326+28*p^28*q^328+12746*p^41*q^314+355069*p^39*q^316+6429292*p^37* q^318+11391184*p^35*q^320+1139696*p^33*q^322+39259*p^31*q^324+344*p^29*q^326+ 1180*p^42*q^312+43298*p^40*q^314+1531710*p^38*q^316+12522936*p^36*q^318+5070217 *p^34*q^320+243630*p^32*q^322+6648*p^30*q^324+100*p^28*q^326+8134*p^41*q^312+ 274490*p^39*q^314+5311749*p^37*q^316+12490356*p^35*q^318+1401186*p^33*q^320+ 46334*p^31*q^322+396*p^29*q^324+2*p^44*q^308+248*p^42*q^310+43960*p^40*q^312+ 1275006*p^38*q^314+11613742*p^36*q^316+5932744*p^34*q^318+275416*p^32*q^320+ 7222*p^30*q^322+44*p^28*q^324+36*p^43*q^308+8026*p^41*q^310+205404*p^39*q^312+ 4620060*p^37*q^314+12317054*p^35*q^316+1762498*p^33*q^318+65612*p^31*q^320+1080 *p^29*q^322+8*p^27*q^324+8*p^44*q^306+180*p^42*q^308+32656*p^40*q^310+981614*p^ 38*q^312+10724758*p^36*q^314+6887678*p^34*q^316+380472*p^32*q^318+12081*p^30*q^ 320+60*p^28*q^322+14*p^43*q^306+2940*p^41*q^308+152186*p^39*q^310+3784848*p^37* q^312+13383274*p^35*q^314+2097415*p^33*q^316+73570*p^31*q^318+1364*p^29*q^320+4 *p^27*q^322+356*p^42*q^306+31948*p^40*q^308+837410*p^38*q^310+9657929*p^36*q^ 312+7774786*p^34*q^314+459550*p^32*q^316+14978*p^30*q^318+60*p^28*q^320+80*p^43 *q^304+2454*p^41*q^306+123496*p^39*q^308+3154540*p^37*q^310+12844208*p^35*q^312 +2613664*p^33*q^314+91424*p^31*q^316+2190*p^29*q^318+8*p^27*q^320+96*p^42*q^304 +19908*p^40*q^306+616287*p^38*q^308+8690334*p^36*q^310+8719090*p^34*q^312+ 630768*p^32*q^314+23826*p^30*q^316+272*p^28*q^318+8*p^43*q^302+1758*p^41*q^304+ 106058*p^39*q^306+2550584*p^37*q^308+13338448*p^35*q^310+3085648*p^33*q^312+ 109466*p^31*q^314+2362*p^29*q^316+308*p^42*q^302+15212*p^40*q^304+490466*p^38*q ^306+7604970*p^36*q^308+9629974*p^34*q^310+747040*p^32*q^312+24486*p^30*q^314+ 180*p^28*q^316+8*p^43*q^300+1296*p^41*q^302+88890*p^39*q^304+2173996*p^37*q^306 +12338794*p^35*q^308+3796444*p^33*q^310+145508*p^31*q^312+6306*p^29*q^314+28*p^ 27*q^316+184*p^42*q^300+9450*p^40*q^302+372254*p^38*q^304+6562930*p^36*q^306+ 10395434*p^34*q^308+971804*p^32*q^310+30550*p^30*q^312+216*p^28*q^314+822*p^41* q^300+62308*p^39*q^302+1711548*p^37*q^304+12496918*p^35*q^306+4383371*p^33*q^ 308+200390*p^31*q^310+7426*p^29*q^312+96*p^42*q^298+8196*p^40*q^300+322238*p^38 *q^302+5631311*p^36*q^304+11202492*p^34*q^306+1144958*p^32*q^308+29878*p^30*q^ 310+978*p^28*q^312+1090*p^41*q^298+54438*p^39*q^300+1387714*p^37*q^302+11309536 *p^35*q^304+5236224*p^33*q^306+256492*p^31*q^308+9738*p^29*q^310+70*p^42*q^296+ 4832*p^40*q^298+232620*p^38*q^300+4812310*p^36*q^302+11487798*p^34*q^304+ 1510082*p^32*q^306+42758*p^30*q^308+1982*p^28*q^310+656*p^41*q^296+34478*p^39*q ^298+1089940*p^37*q^300+10783418*p^35*q^302+6030277*p^33*q^304+304464*p^31*q^ 306+10256*p^29*q^308+60*p^27*q^310+3932*p^40*q^296+214790*p^38*q^298+4054088*p^ 36*q^300+12352816*p^34*q^302+1729322*p^32*q^304+61170*p^30*q^306+2020*p^28*q^ 308+824*p^41*q^294+29068*p^39*q^296+877956*p^37*q^298+9465531*p^35*q^300+ 6802910*p^33*q^302+416208*p^31*q^304+8996*p^29*q^306+382*p^27*q^308+16*p^42*q^ 292+3024*p^40*q^294+148387*p^38*q^296+3382068*p^36*q^298+12174588*p^34*q^300+ 2301444*p^32*q^302+76963*p^30*q^304+4312*p^28*q^306+108*p^41*q^292+18936*p^39*q ^294+687870*p^37*q^296+8845002*p^35*q^298+7619001*p^33*q^300+493734*p^31*q^302+ 11627*p^29*q^304+152*p^27*q^306+4066*p^40*q^292+122026*p^38*q^294+2821113*p^36* q^296+12485346*p^34*q^298+2623798*p^32*q^300+98910*p^30*q^302+3486*p^28*q^304+ 32*p^26*q^306+244*p^41*q^290+13040*p^39*q^292+582230*p^37*q^294+7514021*p^35*q^ 296+8552676*p^33*q^298+629578*p^31*q^300+17180*p^29*q^302+1016*p^27*q^304+2234* p^40*q^290+94778*p^38*q^292+2211042*p^36*q^294+12014899*p^34*q^296+3276974*p^32 *q^298+136926*p^30*q^300+3368*p^28*q^302+40*p^41*q^288+12522*p^39*q^290+434732* p^37*q^292+6943086*p^35*q^294+9238368*p^33*q^296+807708*p^31*q^298+20138*p^29*q ^300+1392*p^27*q^302+1578*p^40*q^288+65740*p^38*q^290+1853076*p^36*q^292+ 11726588*p^34*q^294+3728337*p^32*q^296+159678*p^30*q^298+2975*p^28*q^300+92*p^ 26*q^302+4*p^43*q^284+13504*p^39*q^288+371686*p^37*q^290+5775670*p^35*q^292+ 10178418*p^33*q^294+981616*p^31*q^296+32306*p^29*q^298+1522*p^27*q^300+866*p^40 *q^286+43422*p^38*q^288+1480630*p^36*q^290+10820439*p^34*q^292+4509822*p^32*q^ 294+218478*p^30*q^296+4214*p^28*q^298+314*p^26*q^300+7970*p^39*q^286+281574*p^ 37*q^288+5001202*p^35*q^290+10633324*p^33*q^292+1259768*p^31*q^294+39520*p^29*q ^296+1352*p^27*q^298+36*p^42*q^282+152*p^40*q^284+46714*p^38*q^286+1223430*p^36 *q^288+10617414*p^34*q^290+5003646*p^32*q^292+246410*p^30*q^294+4714*p^28*q^296 +394*p^26*q^298+32*p^41*q^282+7476*p^39*q^284+208242*p^37*q^286+4134463*p^35*q^ 288+11022150*p^33*q^290+1547304*p^31*q^292+62014*p^29*q^294+709*p^27*q^296+32*p ^25*q^298+8*p^42*q^280+104*p^40*q^282+34004*p^38*q^284+970118*p^36*q^286+ 9351258*p^34*q^288+6106650*p^32*q^290+323258*p^30*q^292+7800*p^28*q^294+895*p^ 26*q^296+116*p^41*q^280+2486*p^39*q^282+155138*p^37*q^284+3560886*p^35*q^286+ 11302946*p^33*q^288+1850484*p^31*q^290+66066*p^29*q^292+684*p^27*q^294+32*p^25* q^296+312*p^40*q^280+33758*p^38*q^282+799478*p^36*q^284+8738730*p^34*q^286+ 6580531*p^32*q^288+422928*p^30*q^290+13598*p^28*q^292+262*p^26*q^294+128*p^41*q ^278+1764*p^39*q^280+130250*p^37*q^282+2853590*p^35*q^284+11513298*p^33*q^286+ 2220236*p^31*q^288+79874*p^29*q^290+776*p^27*q^292+296*p^25*q^294+212*p^40*q^ 278+20794*p^38*q^280+606902*p^36*q^282+7533542*p^34*q^284+7591694*p^32*q^286+ 548940*p^30*q^288+20942*p^28*q^290+116*p^26*q^292+16*p^41*q^276+1454*p^39*q^278 +105953*p^37*q^280+2408680*p^35*q^282+11224796*p^33*q^284+2764654*p^31*q^286+ 94298*p^29*q^288+1696*p^27*q^290+220*p^25*q^292+572*p^40*q^276+13520*p^38*q^278 +481952*p^36*q^280+6944690*p^34*q^282+8078086*p^32*q^284+669438*p^30*q^286+ 21818*p^28*q^288+24*p^26*q^290+36*p^24*q^292+16*p^41*q^274+1208*p^39*q^276+ 96682*p^37*q^278+1978986*p^35*q^280+10940278*p^33*q^282+3161738*p^31*q^284+ 130616*p^29*q^286+4788*p^27*q^288+8*p^25*q^290+284*p^40*q^274+8668*p^38*q^276+ 358108*p^36*q^278+5685884*p^34*q^280+9164798*p^32*q^282+857222*p^30*q^284+29160 *p^28*q^286+84*p^26*q^288+102*p^24*q^290+1180*p^39*q^274+64434*p^37*q^276+ 1620692*p^35*q^278+10571356*p^33*q^280+3800706*p^31*q^282+166934*p^29*q^284+ 5060*p^27*q^286+224*p^40*q^272+7048*p^38*q^274+320384*p^36*q^276+5080356*p^34*q ^278+9226810*p^32*q^280+1030070*p^30*q^282+26744*p^28*q^284+540*p^26*q^286+1480 *p^39*q^272+54144*p^37*q^274+1266841*p^35*q^276+10022828*p^33*q^278+4424689*p^ 31*q^280+234150*p^29*q^282+9188*p^27*q^284+23*p^23*q^288+58*p^40*q^270+4138*p^ 38*q^272+241548*p^36*q^274+4205416*p^34*q^276+10014140*p^32*q^278+1264240*p^30* q^280+33562*p^28*q^282+924*p^26*q^284+1352*p^39*q^270+32294*p^37*q^272+1031384* p^35*q^274+9029079*p^33*q^276+5233704*p^31*q^278+284407*p^29*q^280+10148*p^27*q ^282+20*p^25*q^284+4398*p^38*q^270+211002*p^36*q^272+3700046*p^34*q^274+ 10206719*p^32*q^276+1516780*p^30*q^278+50124*p^28*q^280+1404*p^26*q^282+2*p^22* q^286+932*p^39*q^268+26048*p^37*q^270+813865*p^35*q^272+8323302*p^33*q^274+ 5591714*p^31*q^276+372512*p^29*q^278+8702*p^27*q^280+112*p^25*q^282+28*p^40*q^ 266+4484*p^38*q^268+151966*p^36*q^270+2942289*p^34*q^272+10599980*p^32*q^274+ 1947502*p^30*q^276+71266*p^28*q^278+3362*p^26*q^280+124*p^39*q^266+17306*p^37*q ^268+655240*p^35*q^270+7446274*p^33*q^272+6544922*p^31*q^274+424878*p^29*q^276+ 8818*p^27*q^278+44*p^25*q^280+5094*p^38*q^266+114616*p^36*q^268+2557218*p^34*q^ 270+10266217*p^32*q^272+2295196*p^30*q^274+89464*p^28*q^276+3700*p^26*q^278+4*p ^24*q^280+356*p^39*q^264+13906*p^37*q^266+565050*p^35*q^268+6585902*p^33*q^270+ 7014584*p^31*q^272+551702*p^29*q^274+13306*p^27*q^276+524*p^25*q^278+2*p^42*q^ 260+2424*p^38*q^264+87974*p^36*q^266+1922884*p^34*q^268+10342046*p^32*q^270+ 2727120*p^30*q^272+129850*p^28*q^274+3568*p^26*q^276+44*p^39*q^262+14586*p^37*q ^264+415340*p^35*q^266+5859385*p^33*q^268+7939596*p^31*q^270+686394*p^29*q^272+ 16124*p^27*q^274+892*p^25*q^276+2102*p^38*q^262+64102*p^36*q^264+1706648*p^34*q ^266+9539135*p^32*q^268+3186004*p^30*q^270+138496*p^28*q^272+2036*p^26*q^274+20 *p^24*q^276+22*p^41*q^258+13960*p^37*q^262+339055*p^35*q^264+5019888*p^33*q^266 +8256691*p^31*q^268+886164*p^29*q^270+31580*p^27*q^272+1756*p^25*q^274+1080*p^ 38*q^260+43340*p^36*q^262+1333366*p^34*q^264+9319666*p^32*q^266+3714700*p^30*q^ 268+186520*p^28*q^270+2540*p^26*q^272+100*p^24*q^274+9580*p^37*q^260+271144*p^ 35*q^262+4187446*p^33*q^264+9042570*p^31*q^266+1055836*p^29*q^268+36656*p^27*q^ 270+1084*p^25*q^272+94*p^40*q^256+148*p^38*q^258+45000*p^36*q^260+1096390*p^34* q^262+8664135*p^32*q^264+4291548*p^30*q^266+222460*p^28*q^268+4222*p^26*q^270+ 332*p^24*q^272+20*p^39*q^256+8450*p^37*q^258+196278*p^35*q^260+3666438*p^33*q^ 262+8881565*p^31*q^264+1339212*p^29*q^266+51288*p^27*q^268+368*p^25*q^270+4*p^ 23*q^272+44*p^40*q^254+100*p^38*q^256+35694*p^36*q^258+863472*p^34*q^260+ 7894018*p^32*q^262+4947881*p^30*q^264+287140*p^28*q^266+7828*p^26*q^268+676*p^ 24*q^270+196*p^39*q^254+2752*p^37*q^256+147844*p^35*q^258+2973816*p^33*q^260+ 9584228*p^31*q^262+1560455*p^29*q^264+62050*p^27*q^266+386*p^25*q^268+12*p^23*q ^270+216*p^38*q^254+34718*p^36*q^256+742342*p^34*q^258+7127651*p^32*q^260+ 5555270*p^30*q^262+357446*p^28*q^264+10230*p^26*q^266+152*p^24*q^268+374*p^39*q ^252+1848*p^37*q^254+122078*p^35*q^256+2495332*p^33*q^258+9135844*p^31*q^260+ 1910850*p^29*q^262+70586*p^27*q^264+1046*p^25*q^266+168*p^23*q^268+252*p^38*q^ 252+21356*p^36*q^254+545638*p^34*q^256+6377092*p^32*q^258+6124916*p^30*q^260+ 498268*p^28*q^262+18986*p^26*q^264+48*p^24*q^266+40*p^39*q^250+1152*p^37*q^252+ 101468*p^35*q^254+2045737*p^33*q^256+9450618*p^31*q^258+2256380*p^29*q^260+ 82354*p^27*q^262+1014*p^25*q^264+112*p^23*q^266+1174*p^38*q^250+14416*p^36*q^ 252+443316*p^34*q^254+5627896*p^32*q^256+6756040*p^30*q^258+563784*p^28*q^260+ 20356*p^26*q^262+66*p^24*q^264+12*p^22*q^266+46*p^39*q^248+1004*p^37*q^250+ 91310*p^35*q^252+1718702*p^33*q^254+8664594*p^31*q^256+2710228*p^29*q^258+ 115888*p^27*q^260+3758*p^25*q^262+4*p^23*q^264+600*p^38*q^248+7922*p^36*q^250+ 322684*p^34*q^252+4816462*p^32*q^254+7302264*p^30*q^256+738900*p^28*q^258+24694 *p^26*q^260+52*p^24*q^262+36*p^22*q^264+1878*p^37*q^248+64490*p^35*q^250+ 1392042*p^33*q^252+8707966*p^31*q^254+3072904*p^29*q^256+147526*p^27*q^258+4892 *p^25*q^260+464*p^38*q^246+5874*p^36*q^248+290890*p^34*q^250+4082934*p^32*q^252 +7741826*p^30*q^254+885688*p^28*q^256+24392*p^26*q^258+322*p^24*q^260+2668*p^37 *q^246+50836*p^35*q^248+1122976*p^33*q^250+7961386*p^31*q^252+3678738*p^29*q^ 254+197836*p^27*q^256+7862*p^25*q^258+4*p^21*q^262+105*p^38*q^244+4614*p^36*q^ 246+216832*p^34*q^248+3546958*p^32*q^250+7787714*p^30*q^252+1107944*p^28*q^254+ 30946*p^26*q^256+788*p^24*q^258+2214*p^37*q^244+28442*p^35*q^246+879064*p^33*q^ 248+7419196*p^31*q^250+4230279*p^29*q^252+247022*p^27*q^254+8856*p^25*q^256+8*p ^23*q^258+6010*p^36*q^244+196730*p^34*q^246+2997056*p^32*q^248+8426204*p^30*q^ 250+1238098*p^28*q^252+42430*p^26*q^254+1266*p^24*q^256+1468*p^37*q^242+24744*p ^35*q^244+711488*p^33*q^246+6529488*p^31*q^248+4649272*p^29*q^250+326881*p^27*q ^252+7456*p^25*q^254+84*p^23*q^256+36*p^38*q^240+6436*p^36*q^242+134154*p^34*q^ 244+2478958*p^32*q^246+8247945*p^30*q^248+1661802*p^28*q^250+57568*p^26*q^252+ 3180*p^24*q^254+164*p^37*q^240+16946*p^35*q^242+561999*p^33*q^244+6066476*p^31* q^246+5176946*p^29*q^248+384320*p^27*q^250+8074*p^25*q^252+48*p^23*q^254+7418*p ^36*q^240+104758*p^34*q^242+2090662*p^32*q^244+8346160*p^30*q^246+1856876*p^28* q^248+77318*p^26*q^250+2578*p^24*q^252+4*p^22*q^254+448*p^37*q^238+15350*p^35*q ^240+489590*p^33*q^242+5133387*p^31*q^244+5771154*p^29*q^246+481952*p^27*q^248+ 11048*p^25*q^250+578*p^23*q^252+2788*p^36*q^238+77654*p^34*q^240+1618026*p^32*q ^242+7971557*p^30*q^244+2298304*p^28*q^246+110350*p^26*q^248+2780*p^24*q^250+72 *p^37*q^236+19620*p^35*q^238+363445*p^33*q^240+4767484*p^31*q^242+6132168*p^29* q^244+595008*p^27*q^246+12760*p^25*q^248+752*p^23*q^250+2453*p^36*q^236+55148*p ^34*q^238+1369614*p^32*q^240+7665418*p^30*q^242+2563725*p^28*q^244+127858*p^26* q^246+1914*p^24*q^248+30*p^22*q^250+4*p^39*q^232+15807*p^35*q^236+300582*p^33*q ^238+3930951*p^31*q^240+6766712*p^29*q^242+740634*p^27*q^244+24936*p^25*q^246+ 1014*p^23*q^248+1274*p^36*q^234+45936*p^34*q^236+1120470*p^32*q^238+7125432*p^ 30*q^240+3053934*p^28*q^242+168834*p^26*q^244+1672*p^24*q^246+156*p^22*q^248+ 10068*p^35*q^234+216832*p^33*q^236+3377690*p^31*q^238+6933669*p^29*q^240+920480 *p^27*q^242+32104*p^25*q^244+738*p^23*q^246+38*p^38*q^230+260*p^36*q^232+48726* p^34*q^234+917020*p^32*q^236+6881000*p^30*q^238+3384232*p^28*q^240+193786*p^26* q^242+3188*p^24*q^244+170*p^22*q^246+32*p^37*q^230+8896*p^35*q^232+172676*p^33* q^234+2802274*p^31*q^236+7130262*p^29*q^238+1089675*p^27*q^240+43954*p^25*q^242 +216*p^23*q^244+16*p^21*q^246+16*p^38*q^228+196*p^36*q^230+35589*p^34*q^232+ 711976*p^32*q^234+6024700*p^30*q^236+4044448*p^28*q^238+266034*p^26*q^240+7004* p^24*q^242+338*p^22*q^244+130*p^37*q^228+3112*p^35*q^230+133841*p^33*q^232+ 2429912*p^31*q^234+7221762*p^29*q^236+1324134*p^27*q^238+48298*p^25*q^240+176*p ^23*q^242+6*p^21*q^244+296*p^36*q^228+33866*p^34*q^230+596933*p^32*q^232+ 5562184*p^30*q^234+4314176*p^28*q^236+321000*p^26*q^238+9164*p^24*q^240+46*p^22 *q^242+200*p^37*q^226+2638*p^35*q^228+111944*p^33*q^230+1945745*p^31*q^232+ 7291776*p^29*q^234+1524515*p^27*q^236+67894*p^25*q^238+916*p^23*q^240+82*p^21*q ^242+256*p^36*q^226+20366*p^34*q^228+453224*p^32*q^230+4803282*p^30*q^232+ 4928866*p^28*q^234+422150*p^26*q^236+12632*p^24*q^238+4*p^22*q^240+20*p^37*q^ 224+1444*p^35*q^226+95800*p^33*q^228+1631374*p^31*q^230+7088342*p^29*q^232+ 1877950*p^27*q^234+80123*p^25*q^236+1376*p^23*q^238+16*p^21*q^240+824*p^36*q^ 224+15652*p^34*q^226+358741*p^32*q^228+4365462*p^30*q^230+5143180*p^28*q^232+ 490264*p^26*q^234+15218*p^24*q^236+52*p^22*q^238+8*p^20*q^240+16*p^37*q^222+ 1242*p^35*q^224+80894*p^33*q^226+1336718*p^31*q^228+6753548*p^29*q^230+2145666* p^27*q^232+107558*p^25*q^234+2938*p^23*q^236+392*p^36*q^222+8756*p^34*q^224+ 284254*p^32*q^226+3598660*p^30*q^228+5820216*p^28*q^230+622270*p^26*q^232+21200 *p^24*q^234+96*p^22*q^236+2*p^20*q^238+1670*p^35*q^222+58570*p^33*q^224+1096300 *p^31*q^226+6436512*p^29*q^228+2508346*p^27*q^230+137660*p^25*q^232+3044*p^23*q ^234+208*p^36*q^220+6744*p^34*q^222+239958*p^32*q^224+3212676*p^30*q^226+ 5812037*p^28*q^228+753954*p^26*q^230+22570*p^24*q^232+472*p^22*q^234+2108*p^35* q^220+48418*p^33*q^222+874458*p^31*q^224+6032936*p^29*q^226+2830904*p^27*q^228+ 176350*p^25*q^230+4848*p^23*q^232+74*p^36*q^218+4832*p^34*q^220+183748*p^32*q^ 222+2598690*p^30*q^224+6187094*p^28*q^226+906519*p^26*q^228+32546*p^24*q^230+ 684*p^22*q^232+1292*p^35*q^218+28342*p^33*q^220+704828*p^31*q^222+5510392*p^29* q^224+3374014*p^27*q^226+216842*p^25*q^228+6052*p^23*q^230+28*p^21*q^232+5552*p ^34*q^218+167496*p^32*q^220+2298882*p^30*q^222+6131110*p^28*q^224+1043326*p^26* q^226+40256*p^24*q^228+644*p^22*q^230+980*p^35*q^216+23680*p^33*q^218+550122*p^ 31*q^220+4932610*p^29*q^222+3601322*p^27*q^224+299696*p^25*q^226+6794*p^23*q^ 228+156*p^21*q^230+16*p^36*q^214+4892*p^34*q^216+116070*p^32*q^218+1839604*p^30 *q^220+6375176*p^28*q^222+1287370*p^26*q^224+53428*p^24*q^226+1492*p^22*q^228+ 136*p^35*q^214+16528*p^33*q^216+460230*p^31*q^218+4370598*p^29*q^220+4090848*p^ 27*q^222+335900*p^25*q^224+7644*p^23*q^226+36*p^21*q^228+4986*p^34*q^214+90012* p^32*q^216+1578572*p^30*q^218+6084320*p^28*q^220+1528944*p^26*q^222+73515*p^24* q^224+1786*p^22*q^226+16*p^20*q^228+228*p^35*q^212+14118*p^33*q^214+383040*p^31 *q^216+3852490*p^29*q^218+4294832*p^27*q^220+407286*p^25*q^222+10976*p^23*q^224 +188*p^21*q^226+2*p^38*q^208+2352*p^34*q^212+69058*p^32*q^214+1205127*p^30*q^ 216+6000012*p^28*q^218+1786156*p^26*q^220+108334*p^24*q^222+1450*p^22*q^224+52* p^35*q^210+14378*p^33*q^212+290710*p^31*q^214+3398858*p^29*q^216+4829318*p^27*q ^218+502328*p^25*q^220+12980*p^23*q^222+460*p^21*q^224+1486*p^34*q^210+49957*p^ 32*q^212+1060016*p^30*q^214+5521358*p^28*q^216+2050516*p^26*q^218+116328*p^24*q ^220+1624*p^22*q^222+12*p^20*q^224+26*p^37*q^206+13082*p^33*q^210+234973*p^31*q ^212+2895328*p^29*q^214+4932858*p^27*q^216+609552*p^25*q^218+25344*p^23*q^220+ 336*p^21*q^222+876*p^34*q^208+37450*p^32*q^210+819441*p^30*q^212+5261500*p^28*q ^214+2352432*p^26*q^216+160638*p^24*q^218+2744*p^22*q^220+64*p^20*q^222+7310*p^ 33*q^208+184514*p^31*q^210+2401085*p^29*q^212+5328494*p^27*q^214+735422*p^25*q^ 216+29144*p^23*q^218+172*p^21*q^220+128*p^36*q^204+156*p^34*q^206+39380*p^32*q^ 208+692726*p^30*q^210+4850404*p^28*q^212+2667222*p^26*q^214+172642*p^24*q^216+ 3566*p^22*q^218+72*p^20*q^220+20*p^35*q^204+6218*p^33*q^206+135483*p^31*q^208+ 2068466*p^29*q^210+5122544*p^27*q^212+902878*p^25*q^214+45776*p^23*q^216+508*p^ 21*q^218+4*p^19*q^220+44*p^36*q^202+96*p^34*q^204+28648*p^32*q^206+534913*p^30* q^208+4360494*p^28*q^210+3030020*p^26*q^212+230284*p^24*q^214+5206*p^22*q^216+ 32*p^20*q^218+298*p^35*q^202+2356*p^33*q^204+106216*p^31*q^206+1714205*p^29*q^ 208+5449346*p^27*q^210+1023508*p^25*q^212+52784*p^23*q^214+637*p^21*q^216+8*p^ 19*q^218+200*p^34*q^202+25350*p^32*q^204+453668*p^30*q^206+3888714*p^28*q^208+ 3356338*p^26*q^210+275788*p^24*q^212+8736*p^22*q^214+32*p^20*q^216+406*p^35*q^ 200+1446*p^33*q^202+89293*p^31*q^204+1411736*p^29*q^206+5127370*p^27*q^208+ 1222842*p^25*q^210+62864*p^23*q^212+624*p^21*q^214+4*p^19*q^216+376*p^34*q^200+ 15972*p^32*q^202+334866*p^30*q^204+3428402*p^28*q^206+3634436*p^26*q^208+358236 *p^24*q^210+15318*p^22*q^212+168*p^20*q^214+40*p^35*q^198+1072*p^33*q^200+73462 *p^31*q^202+1145452*p^29*q^204+5180186*p^27*q^206+1429681*p^25*q^208+77678*p^23 *q^210+728*p^21*q^212+1326*p^34*q^198+9956*p^32*q^200+276342*p^30*q^202+3000144 *p^28*q^204+3959590*p^26*q^206+406758*p^24*q^208+15300*p^22*q^210+28*p^20*q^212 +36*p^35*q^196+876*p^33*q^198+63756*p^31*q^200+972392*p^29*q^202+4671118*p^27*q ^204+1688558*p^25*q^206+98453*p^23*q^208+3018*p^21*q^210+20*p^19*q^212+596*p^34 *q^196+6168*p^32*q^198+203996*p^30*q^200+2539822*p^28*q^202+4174626*p^26*q^204+ 497516*p^24*q^206+23163*p^22*q^208+22*p^20*q^210+2018*p^33*q^196+42500*p^31*q^ 198+770307*p^29*q^200+4625834*p^27*q^202+1886590*p^25*q^204+135284*p^23*q^206+ 3082*p^21*q^208+380*p^34*q^194+4640*p^32*q^196+185772*p^30*q^198+2159581*p^28*q ^200+4349732*p^26*q^202+574750*p^24*q^204+21044*p^22*q^206+292*p^20*q^208+2552* p^33*q^194+32876*p^31*q^196+618928*p^29*q^198+4108153*p^27*q^200+2233236*p^25*q ^202+159962*p^23*q^204+6150*p^21*q^206+84*p^34*q^192+3494*p^32*q^194+136812*p^ 30*q^196+1836726*p^28*q^198+4345512*p^26*q^200+719434*p^24*q^202+34926*p^22*q^ 204+552*p^20*q^206+1892*p^33*q^192+20652*p^31*q^194+497747*p^29*q^196+3795674*p ^27*q^198+2489354*p^25*q^200+182442*p^23*q^202+4845*p^21*q^204+8*p^19*q^206+ 5070*p^32*q^192+116196*p^30*q^194+1522484*p^28*q^196+4537788*p^26*q^198+804771* p^24*q^200+49966*p^22*q^202+992*p^20*q^204+1134*p^33*q^190+15694*p^31*q^192+ 403844*p^29*q^194+3325069*p^27*q^196+2736000*p^25*q^198+231467*p^23*q^200+6118* p^21*q^202+74*p^19*q^204+30*p^34*q^188+5378*p^32*q^190+82070*p^30*q^192+1264384 *p^28*q^194+4311132*p^26*q^196+1023556*p^24*q^198+58636*p^22*q^200+1414*p^20*q^ 202+130*p^33*q^188+11832*p^31*q^190+311668*p^29*q^192+2990426*p^27*q^194+ 2997406*p^25*q^196+269268*p^23*q^198+10968*p^21*q^200+56*p^19*q^202+5510*p^32*q ^188+62996*p^30*q^190+1078430*p^28*q^192+4323034*p^26*q^194+1139681*p^24*q^196+ 68802*p^22*q^198+668*p^20*q^200+4*p^18*q^202+356*p^33*q^186+10730*p^31*q^188+ 266242*p^29*q^190+2479565*p^27*q^192+3236848*p^25*q^194+318452*p^23*q^196+17300 *p^21*q^198+345*p^19*q^200+2*p^36*q^182+2000*p^32*q^186+46386*p^30*q^188+820068 *p^28*q^190+4070912*p^26*q^192+1397100*p^24*q^194+93618*p^22*q^196+1510*p^20*q^ 198+48*p^33*q^184+13560*p^31*q^186+195341*p^29*q^188+2312686*p^27*q^190+3375967 *p^25*q^192+387500*p^23*q^194+19858*p^21*q^196+64*p^19*q^198+1890*p^32*q^184+ 34744*p^30*q^186+690286*p^28*q^188+3758994*p^26*q^190+1540984*p^24*q^192+97532* p^22*q^194+3068*p^20*q^196+38*p^18*q^198+22*p^35*q^180+10546*p^31*q^184+160804* p^29*q^186+1866499*p^27*q^188+3653566*p^25*q^190+468212*p^23*q^192+28700*p^21*q ^194+116*p^19*q^196+888*p^32*q^182+26250*p^30*q^184+549076*p^28*q^186+3427942*p ^26*q^188+1798942*p^24*q^190+120740*p^22*q^192+5724*p^20*q^194+8*p^18*q^196+ 6996*p^31*q^182+125544*p^29*q^184+1601986*p^27*q^186+3651442*p^25*q^188+583632* p^23*q^190+32656*p^21*q^192+208*p^19*q^194+92*p^34*q^178+152*p^32*q^180+28740*p ^30*q^182+443296*p^28*q^184+3248088*p^26*q^186+1947608*p^24*q^188+135558*p^22*q ^190+6246*p^20*q^192+2*p^18*q^194+20*p^33*q^178+6048*p^31*q^180+88900*p^29*q^ 182+1313577*p^27*q^184+3654044*p^25*q^186+680274*p^23*q^188+41774*p^21*q^190+ 1008*p^19*q^192+36*p^34*q^176+94*p^32*q^178+21400*p^30*q^180+359678*p^28*q^182+ 2790551*p^26*q^184+2296294*p^24*q^186+173698*p^22*q^188+9560*p^20*q^190+182*p^ 33*q^176+1848*p^31*q^178+68876*p^29*q^180+1087950*p^27*q^182+3627952*p^25*q^184 +802708*p^23*q^186+44046*p^21*q^188+1378*p^19*q^190+176*p^32*q^176+21660*p^30*q ^178+293031*p^28*q^180+2563724*p^26*q^182+2403140*p^24*q^184+213828*p^22*q^186+ 12476*p^20*q^188+56*p^18*q^190+286*p^33*q^174+1356*p^31*q^176+58636*p^29*q^178+ 879474*p^27*q^180+3482938*p^25*q^182+912666*p^23*q^184+47546*p^21*q^186+1760*p^ 19*q^188+216*p^32*q^174+11796*p^30*q^176+214660*p^28*q^178+2114607*p^26*q^180+ 2727128*p^24*q^182+277296*p^22*q^184+18600*p^20*q^186+300*p^18*q^188+28*p^33*q^ 172+774*p^31*q^174+51852*p^29*q^176+745916*p^27*q^178+3370950*p^25*q^180+ 1086304*p^23*q^182+57764*p^21*q^184+2228*p^19*q^186+810*p^32*q^172+8394*p^30*q^ 174+170410*p^28*q^176+1919440*p^26*q^178+2705097*p^24*q^180+323548*p^22*q^182+ 15740*p^20*q^184+144*p^18*q^186+28*p^33*q^170+732*p^31*q^172+44182*p^29*q^174+ 592055*p^27*q^176+3096500*p^25*q^178+1270473*p^23*q^180+73982*p^21*q^182+5996*p ^19*q^184+32*p^17*q^186+376*p^32*q^170+4248*p^30*q^172+129904*p^28*q^174+ 1538596*p^26*q^176+2996202*p^24*q^178+368002*p^22*q^180+19994*p^20*q^182+212*p^ 18*q^184+1142*p^31*q^170+30762*p^29*q^172+483802*p^27*q^174+2905085*p^25*q^176+ 1448032*p^23*q^178+101124*p^21*q^180+5964*p^19*q^182+260*p^32*q^168+3388*p^30*q ^170+115688*p^28*q^172+1339466*p^26*q^174+2908346*p^24*q^176+450794*p^22*q^178+ 16496*p^20*q^180+1008*p^18*q^182+1416*p^31*q^168+23616*p^29*q^170+372611*p^27*q ^172+2655174*p^25*q^174+1610927*p^23*q^176+126068*p^21*q^178+7784*p^19*q^180+64 *p^32*q^166+2558*p^30*q^168+87102*p^28*q^170+1094810*p^26*q^172+2977088*p^24*q^ 174+537704*p^22*q^176+23472*p^20*q^178+1792*p^18*q^180+1132*p^31*q^166+12542*p^ 29*q^168+299374*p^27*q^170+2298957*p^25*q^172+1876748*p^23*q^174+141234*p^21*q^ 176+8052*p^19*q^178+64*p^17*q^180+2768*p^30*q^166+79314*p^28*q^168+941498*p^26* q^170+2950053*p^24*q^172+613460*p^22*q^174+33918*p^20*q^176+1788*p^18*q^178+770 *p^31*q^164+11530*p^29*q^166+232600*p^27*q^168+2034668*p^25*q^170+1904480*p^23* q^172+179724*p^21*q^174+5338*p^19*q^176+372*p^17*q^178+20*p^32*q^162+2724*p^30* q^164+49616*p^28*q^166+734522*p^26*q^168+2891572*p^24*q^170+776180*p^22*q^172+ 45780*p^20*q^174+4132*p^18*q^176+72*p^31*q^162+7276*p^29*q^164+196186*p^27*q^ 166+1775152*p^25*q^168+2169594*p^23*q^170+195468*p^21*q^172+6314*p^19*q^174+132 *p^17*q^176+3266*p^30*q^162+39620*p^28*q^164+624436*p^26*q^166+2682549*p^24*q^ 168+876602*p^22*q^170+52750*p^20*q^172+2912*p^18*q^174+32*p^16*q^176+228*p^31*q ^160+5708*p^29*q^162+157420*p^27*q^164+1520410*p^25*q^166+2204687*p^23*q^168+ 249528*p^21*q^170+11106*p^19*q^172+1010*p^17*q^174+1316*p^30*q^160+29752*p^28*q ^162+461703*p^26*q^164+2562554*p^24*q^166+1024410*p^22*q^168+67204*p^20*q^170+ 2352*p^18*q^172+24*p^31*q^158+6890*p^29*q^160+117906*p^27*q^162+1307346*p^25*q^ 164+2390684*p^23*q^166+289098*p^21*q^168+13864*p^19*q^170+1372*p^17*q^172+1078* p^30*q^158+19558*p^28*q^160+406330*p^26*q^162+2269765*p^24*q^164+1155854*p^22*q ^166+76668*p^20*q^168+1714*p^18*q^170+86*p^16*q^172+6084*p^29*q^158+94362*p^27* q^160+1084704*p^25*q^162+2360515*p^23*q^164+364820*p^21*q^166+18022*p^19*q^168+ 1504*p^17*q^170+500*p^30*q^156+14058*p^28*q^158+311937*p^26*q^160+2096514*p^24* q^162+1297593*p^22*q^164+96590*p^20*q^166+3082*p^18*q^168+328*p^16*q^170+3996*p ^29*q^156+69826*p^27*q^158+879562*p^25*q^160+2463900*p^23*q^162+425284*p^21*q^ 164+24016*p^19*q^166+946*p^17*q^168+60*p^30*q^154+14888*p^28*q^156+256862*p^26* q^158+1892270*p^24*q^160+1446206*p^22*q^162+101846*p^20*q^164+3174*p^18*q^166+ 448*p^16*q^168+14*p^31*q^152+3426*p^29*q^154+51082*p^27*q^156+743514*p^25*q^158 +2261054*p^23*q^160+517864*p^21*q^162+32054*p^19*q^164+434*p^17*q^166+36*p^15*q ^168+52*p^30*q^152+11334*p^28*q^154+187624*p^26*q^156+1618772*p^24*q^158+ 1617086*p^22*q^160+129866*p^20*q^162+5654*p^18*q^164+816*p^16*q^166+876*p^29*q^ 152+36568*p^27*q^154+609345*p^25*q^156+2333950*p^23*q^158+593460*p^21*q^160+ 36670*p^19*q^162+566*p^17*q^164+36*p^15*q^166+132*p^30*q^150+11512*p^28*q^152+ 165306*p^26*q^154+1393408*p^24*q^156+1695310*p^22*q^158+153408*p^20*q^160+7284* p^18*q^162+156*p^16*q^164+682*p^29*q^150+29130*p^27*q^152+476774*p^25*q^154+ 2108202*p^23*q^156+721272*p^21*q^158+39878*p^19*q^160+684*p^17*q^162+308*p^15*q ^164+8*p^30*q^148+6394*p^28*q^150+113856*p^26*q^152+1227004*p^24*q^154+1787616* p^22*q^156+201100*p^20*q^158+13164*p^18*q^160+88*p^16*q^162+516*p^29*q^148+ 25862*p^27*q^150+386202*p^25*q^152+2013256*p^23*q^154+808874*p^21*q^156+42528*p ^19*q^158+936*p^17*q^160+168*p^15*q^162+4198*p^28*q^148+88802*p^26*q^150+ 1022286*p^24*q^152+1899640*p^22*q^154+234774*p^20*q^156+14570*p^18*q^158+32*p^ 16*q^160+40*p^14*q^162+316*p^29*q^146+22371*p^27*q^148+319640*p^25*q^150+ 1774285*p^23*q^152+920812*p^21*q^154+50650*p^19*q^156+2872*p^17*q^158+4*p^15*q^ 160+2266*p^28*q^146+63087*p^26*q^148+829536*p^24*q^150+1881388*p^22*q^152+ 304424*p^20*q^154+16344*p^18*q^156+42*p^16*q^158+90*p^14*q^160+32*p^29*q^144+ 15348*p^27*q^146+244398*p^25*q^148+1680030*p^23*q^150+1057318*p^21*q^152+67310* p^19*q^154+4080*p^17*q^156+1960*p^28*q^144+56732*p^26*q^146+703952*p^24*q^148+ 1892576*p^22*q^150+324301*p^20*q^152+15394*p^18*q^154+292*p^16*q^156+8*p^29*q^ 142+12112*p^27*q^144+188892*p^25*q^146+1426775*p^23*q^148+1169760*p^21*q^150+ 90654*p^19*q^152+5404*p^17*q^154+22*p^13*q^158+3*p^30*q^140+616*p^28*q^142+ 40792*p^26*q^144+565084*p^24*q^146+1801647*p^22*q^148+426286*p^20*q^150+15632*p ^18*q^152+838*p^16*q^154+6958*p^27*q^142+144256*p^25*q^144+1283022*p^23*q^146+ 1280933*p^21*q^148+101282*p^19*q^150+7680*p^17*q^152+8*p^15*q^154+268*p^28*q^ 140+37916*p^26*q^142+465461*p^24*q^144+1789608*p^22*q^146+461254*p^20*q^148+ 22178*p^18*q^150+756*p^16*q^152+2*p^12*q^156+30*p^29*q^138+4838*p^27*q^140+ 112524*p^25*q^142+1057852*p^23*q^144+1345484*p^21*q^146+134121*p^19*q^148+5984* p^17*q^150+100*p^15*q^152+64*p^28*q^138+24918*p^26*q^140+365634*p^24*q^142+ 1650850*p^22*q^144+588760*p^20*q^146+26360*p^18*q^148+2424*p^16*q^150+2376*p^27 *q^138+86356*p^25*q^140+939138*p^23*q^142+1408737*p^21*q^144+159556*p^19*q^146+ 5426*p^17*q^148+24*p^15*q^150+115*p^28*q^136+19036*p^26*q^138+296446*p^24*q^140 +1542228*p^22*q^142+643172*p^20*q^144+34052*p^18*q^146+2940*p^16*q^148+4*p^14*q ^150+988*p^27*q^136+74810*p^25*q^138+740339*p^23*q^140+1481008*p^21*q^142+ 185275*p^19*q^144+5768*p^17*q^146+324*p^15*q^148+70*p^28*q^134+12870*p^26*q^136 +215960*p^24*q^138+1383538*p^22*q^140+754610*p^20*q^142+50506*p^18*q^144+2834*p ^16*q^146+316*p^27*q^134+53296*p^25*q^136+656000*p^23*q^138+1448694*p^21*q^140+ 234698*p^19*q^142+6111*p^17*q^144+776*p^15*q^146+7292*p^26*q^134+183974*p^24*q^ 136+1247114*p^22*q^138+837358*p^20*q^140+56388*p^18*q^142+1724*p^16*q^144+8*p^ 14*q^146+674*p^27*q^132+42894*p^25*q^134+507924*p^23*q^136+1461830*p^21*q^138+ 258510*p^19*q^140+11772*p^17*q^142+1144*p^15*q^144+2488*p^26*q^132+137430*p^24* q^134+1061510*p^22*q^136+941842*p^20*q^138+77004*p^18*q^140+1056*p^16*q^142+104 *p^14*q^144+56*p^27*q^130+30904*p^25*q^132+415702*p^23*q^134+1437247*p^21*q^136 +331982*p^19*q^138+14016*p^17*q^140+1252*p^15*q^142+3000*p^26*q^130+110253*p^24 *q^132+966274*p^22*q^134+962288*p^20*q^136+76902*p^18*q^138+1452*p^16*q^140+160 *p^14*q^142+51*p^27*q^128+18022*p^25*q^130+325815*p^23*q^132+1317178*p^21*q^134 +400454*p^19*q^136+24900*p^17*q^138+292*p^15*q^140+4*p^13*q^142+1096*p^26*q^128 +85776*p^24*q^130+780139*p^22*q^132+1100786*p^20*q^134+93214*p^18*q^136+2254*p^ 16*q^138+596*p^14*q^140+8*p^27*q^126+11336*p^25*q^128+268744*p^23*q^130+1251415 *p^21*q^132+454136*p^19*q^134+26306*p^17*q^136+92*p^15*q^138+4*p^13*q^140+506*p ^26*q^126+65933*p^24*q^128+672474*p^22*q^130+1083090*p^20*q^132+121648*p^18*q^ 134+5240*p^16*q^136+232*p^14*q^138+8*p^27*q^124+7708*p^25*q^126+206896*p^23*q^ 128+1156130*p^21*q^130+520889*p^19*q^132+28414*p^17*q^134+206*p^15*q^136+108*p^ 13*q^138+174*p^26*q^124+43506*p^24*q^126+529117*p^22*q^128+1136636*p^20*q^130+ 151314*p^18*q^132+8366*p^16*q^134+4*p^14*q^136+3072*p^25*q^124+158956*p^23*q^ 126+1035748*p^21*q^128+617496*p^19*q^130+31917*p^17*q^132+536*p^15*q^134+144*p^ 13*q^136+100*p^26*q^122+33606*p^24*q^124+477280*p^22*q^126+1103090*p^20*q^128+ 180950*p^18*q^130+8624*p^16*q^132+12*p^14*q^134+4*p^12*q^136+2074*p^25*q^122+ 125986*p^23*q^124+863980*p^21*q^126+653174*p^19*q^128+38932*p^17*q^130+1712*p^ 15*q^132+48*p^26*q^120+16504*p^24*q^122+347324*p^22*q^124+1158406*p^20*q^126+ 232188*p^18*q^128+12960*p^16*q^130+20*p^14*q^132+40*p^12*q^134+664*p^25*q^120+ 100220*p^23*q^122+789294*p^21*q^124+716740*p^19*q^126+46372*p^17*q^128+1576*p^ 15*q^130+12337*p^24*q^120+288328*p^22*q^122+1035136*p^20*q^124+276004*p^18*q^ 126+10470*p^16*q^128+186*p^14*q^130+610*p^25*q^118+68786*p^23*q^120+677284*p^21 *q^122+776149*p^19*q^124+64062*p^17*q^126+4147*p^15*q^128+4*p^11*q^132+4818*p^ 24*q^118+224244*p^22*q^120+968224*p^20*q^122+311708*p^18*q^124+10798*p^16*q^126 +148*p^14*q^128+78*p^25*q^116+47682*p^23*q^118+553702*p^21*q^120+873290*p^19*q^ 122+85224*p^17*q^124+4612*p^15*q^126+8*p^13*q^128+3442*p^24*q^116+184968*p^22*q ^118+908740*p^20*q^120+348230*p^18*q^122+12900*p^16*q^124+618*p^14*q^126+36*p^ 25*q^114+28436*p^23*q^116+460130*p^21*q^118+817006*p^19*q^120+109866*p^17*q^122 +3904*p^15*q^124+12*p^13*q^126+6*p^26*q^112+1618*p^24*q^114+137791*p^22*q^116+ 826198*p^20*q^118+433886*p^18*q^120+19532*p^16*q^122+1356*p^14*q^124+14752*p^23 *q^114+364794*p^21*q^116+869302*p^19*q^118+119054*p^17*q^120+3128*p^15*q^122+20 *p^13*q^124+510*p^24*q^112+108168*p^22*q^114+729478*p^20*q^116+480440*p^18*q^ 118+27134*p^16*q^120+1612*p^14*q^122+74*p^25*q^110+11472*p^23*q^112+299816*p^21 *q^114+806224*p^19*q^116+147788*p^17*q^118+2958*p^15*q^120+200*p^13*q^122+138*p ^24*q^110+58440*p^22*q^112+627270*p^20*q^114+538267*p^18*q^116+40826*p^16*q^118 +1716*p^14*q^120+4378*p^23*q^110+257976*p^21*q^112+832272*p^19*q^114+174270*p^ 17*q^116+4136*p^15*q^118+298*p^13*q^120+364*p^24*q^108+45514*p^22*q^110+523046* p^20*q^112+559686*p^18*q^114+41978*p^16*q^116+472*p^14*q^118+12*p^12*q^120+2160 *p^23*q^108+182000*p^21*q^110+752306*p^19*q^112+226972*p^17*q^114+9692*p^15*q^ 116+796*p^13*q^118+112*p^24*q^106+26145*p^22*q^108+449954*p^20*q^110+603374*p^ 18*q^112+50744*p^16*q^114+456*p^14*q^116+14*p^12*q^118+1168*p^23*q^106+132790*p ^21*q^108+719806*p^19*q^110+255268*p^17*q^112+12208*p^15*q^114+334*p^13*q^116+ 14442*p^22*q^106+378505*p^20*q^108+623868*p^18*q^110+64368*p^16*q^112+1080*p^14 *q^114+160*p^12*q^116+1198*p^23*q^104+97516*p^21*q^106+615182*p^19*q^108+302048 *p^17*q^110+14252*p^15*q^112+32*p^13*q^114+8*p^24*q^102+6642*p^22*q^104+298800* p^20*q^106+627005*p^18*q^108+82870*p^16*q^110+2704*p^14*q^112+204*p^12*q^114+ 116*p^23*q^102+60308*p^21*q^104+576154*p^19*q^106+341496*p^17*q^108+18390*p^15* q^110+48*p^13*q^112+8*p^11*q^114+5594*p^22*q^102+240439*p^20*q^104+642316*p^18* q^106+94584*p^16*q^108+2804*p^14*q^110+136*p^23*q^100+37624*p^21*q^102+475059*p ^19*q^104+364424*p^17*q^106+21598*p^15*q^108+344*p^13*q^110+58*p^11*q^112+6*p^ 24*q^98+1944*p^22*q^100+169628*p^20*q^102+602311*p^18*q^104+136832*p^16*q^106+ 5486*p^14*q^108+16*p^23*q^98+21410*p^21*q^100+435346*p^19*q^102+414180*p^17*q^ 104+22862*p^15*q^106+290*p^13*q^108+1072*p^22*q^98+131354*p^20*q^100+567370*p^ 18*q^102+143672*p^16*q^104+6642*p^14*q^106+16*p^12*q^108+6*p^10*q^110+68*p^23*q ^96+13210*p^21*q^98+332257*p^19*q^100+446946*p^17*q^102+34136*p^15*q^104+920*p^ 13*q^106+366*p^22*q^96+79982*p^20*q^98+534701*p^18*q^100+182058*p^16*q^102+6588 *p^14*q^104+24*p^12*q^106+4*p^23*q^94+6384*p^21*q^96+283782*p^19*q^98+449534*p^ 17*q^100+42590*p^15*q^102+1830*p^13*q^104+332*p^22*q^94+54783*p^20*q^96+490352* p^18*q^98+207258*p^16*q^100+6700*p^14*q^102+44*p^12*q^104+3344*p^21*q^94+213476 *p^19*q^96+458614*p^17*q^98+57192*p^15*q^100+2224*p^13*q^102+176*p^22*q^92+ 30642*p^20*q^94+407410*p^18*q^96+248222*p^16*q^98+8442*p^14*q^100+288*p^12*q^ 102+1300*p^21*q^92+157078*p^19*q^94+477059*p^17*q^96+69226*p^15*q^98+2378*p^13* q^100+8*p^22*q^90+18438*p^20*q^92+376658*p^18*q^94+254137*p^16*q^96+12608*p^14* q^98+420*p^12*q^100+3*p^23*q^88+1564*p^21*q^90+107605*p^19*q^92+439750*p^17*q^ 94+88441*p^15*q^96+1410*p^13*q^98+20*p^11*q^100+7480*p^20*q^90+294676*p^18*q^92 +306916*p^16*q^94+18310*p^14*q^96+1028*p^12*q^98+224*p^21*q^88+71084*p^19*q^90+ 424184*p^17*q^92+105384*p^15*q^94+1556*p^13*q^96+24*p^11*q^98+30*p^22*q^86+6948 *p^20*q^88+245262*p^18*q^90+309024*p^16*q^92+22814*p^14*q^94+500*p^12*q^96+76*p ^21*q^86+38266*p^19*q^88+388006*p^17*q^90+122419*p^15*q^92+3736*p^13*q^94+212*p ^11*q^96+2732*p^20*q^86+185516*p^18*q^88+339138*p^16*q^90+32760*p^14*q^92+90*p^ 12*q^94+122*p^21*q^84+23932*p^19*q^86+344527*p^17*q^88+147690*p^15*q^90+4052*p^ 13*q^92+264*p^11*q^94+912*p^20*q^84+128296*p^18*q^86+336030*p^16*q^88+36778*p^ 14*q^90+464*p^12*q^92+12*p^10*q^94+48*p^21*q^82+16464*p^19*q^84+306462*p^17*q^ 86+167572*p^15*q^88+8238*p^13*q^90+3*p^22*q^80+498*p^20*q^82+75526*p^18*q^84+ 331070*p^16*q^86+48122*p^14*q^88+450*p^12*q^90+76*p^10*q^92+5988*p^19*q^82+ 258778*p^17*q^84+204156*p^15*q^86+10043*p^13*q^88+24*p^11*q^90+404*p^20*q^80+ 59490*p^18*q^82+312923*p^16*q^84+53454*p^14*q^86+1234*p^12*q^88+30*p^21*q^78+ 3437*p^19*q^80+183890*p^17*q^82+207527*p^15*q^84+13142*p^13*q^86+36*p^11*q^88+8 *p^9*q^90+52*p^20*q^78+29603*p^18*q^80+317430*p^16*q^82+76952*p^14*q^84+2574*p^ 12*q^86+1674*p^19*q^78+142466*p^17*q^80+227970*p^15*q^82+11894*p^13*q^84+68*p^ 11*q^86+138*p^20*q^76+18292*p^18*q^78+270830*p^16*q^80+91694*p^14*q^82+3298*p^ 12*q^84+824*p^19*q^76+95802*p^17*q^78+229826*p^15*q^80+18560*p^13*q^82+404*p^11 *q^84+42*p^20*q^74+7746*p^18*q^76+236728*p^16*q^78+110494*p^14*q^80+3590*p^12*q ^82+480*p^19*q^74+64412*p^17*q^76+246754*p^15*q^78+25932*p^13*q^80+558*p^11*q^ 82+4560*p^18*q^74+184794*p^16*q^76+120366*p^14*q^78+2748*p^12*q^80+28*p^10*q^82 +345*p^19*q^72+36346*p^17*q^74+241228*p^15*q^76+35780*p^13*q^78+1330*p^11*q^80+ 2314*p^18*q^72+143936*p^16*q^74+132726*p^14*q^76+4962*p^12*q^78+34*p^10*q^80+24 *p^19*q^70+17759*p^17*q^72+229324*p^15*q^74+46617*p^13*q^76+606*p^11*q^78+1474* p^18*q^70+109365*p^16*q^72+153592*p^14*q^74+6588*p^12*q^76+264*p^10*q^78+36*p^ 19*q^68+11424*p^17*q^70+186317*p^15*q^72+51770*p^13*q^74+634*p^11*q^76+428*p^18 *q^68+59054*p^16*q^70+174654*p^14*q^72+12902*p^12*q^74+324*p^10*q^76+5665*p^17* q^68+187410*p^15*q^70+58646*p^13*q^72+668*p^11*q^74+16*p^9*q^76+342*p^18*q^66+ 40209*p^16*q^68+160164*p^14*q^70+15444*p^12*q^72+32*p^10*q^74+2648*p^17*q^66+ 127728*p^15*q^68+83930*p^13*q^70+2077*p^11*q^72+94*p^9*q^74+30*p^18*q^64+22218* p^16*q^66+171325*p^14*q^68+17860*p^12*q^70+48*p^10*q^72+1586*p^17*q^64+98026*p^ 15*q^66+88107*p^13*q^68+3460*p^11*q^70+11448*p^16*q^64+161672*p^14*q^66+23708*p ^12*q^68+142*p^10*q^70+10*p^8*q^72+678*p^17*q^62+64686*p^15*q^64+100318*p^13*q^ 66+4510*p^11*q^68+4*p^18*q^60+5700*p^16*q^62+137666*p^14*q^64+33132*p^12*q^66+ 512*p^10*q^68+30*p^17*q^60+38342*p^15*q^62+115038*p^13*q^64+5510*p^11*q^66+4188 *p^16*q^60+118350*p^14*q^62+35757*p^12*q^64+706*p^10*q^66+60*p^17*q^58+20458*p^ 15*q^60+112270*p^13*q^62+8082*p^11*q^64+36*p^9*q^66+748*p^16*q^58+83366*p^14*q^ 60+54764*p^12*q^62+1600*p^10*q^64+13700*p^15*q^58+116828*p^13*q^60+8066*p^11*q^ 62+44*p^9*q^64+462*p^16*q^56+58244*p^14*q^58+54958*p^12*q^60+1486*p^10*q^62+ 5892*p^15*q^56+104984*p^13*q^58+15614*p^11*q^60+316*p^9*q^62+66*p^16*q^54+33742 *p^14*q^56+69590*p^12*q^58+1158*p^10*q^60+2468*p^15*q^54+93524*p^13*q^56+19936* p^11*q^58+424*p^9*q^60+21880*p^14*q^54+68798*p^12*q^56+2446*p^10*q^58+20*p^8*q^ 60+912*p^15*q^52+66396*p^13*q^54+25832*p^11*q^56+96*p^9*q^58+12*p^16*q^50+10264 *p^14*q^52+80232*p^12*q^54+4824*p^10*q^56+112*p^8*q^58+48*p^15*q^50+47482*p^13* q^52+30214*p^11*q^54+150*p^9*q^56+5402*p^14*q^50+76066*p^12*q^52+6364*p^10*q^54 +126*p^15*q^48+28798*p^13*q^50+34266*p^11*q^52+688*p^9*q^54+12*p^7*q^56+953*p^ 14*q^48+64540*p^12*q^50+10404*p^10*q^52+18694*p^13*q^48+47500*p^11*q^50+872*p^9 *q^52+678*p^14*q^46+48144*p^12*q^48+8918*p^10*q^50+44*p^8*q^52+4*p^15*q^44+6582 *p^13*q^46+49300*p^11*q^48+2768*p^9*q^50+126*p^14*q^44+38384*p^12*q^46+15376*p^ 10*q^48+54*p^8*q^50+2784*p^13*q^44+47374*p^11*q^46+1933*p^9*q^48+36*p^14*q^42+ 22218*p^12*q^44+22102*p^10*q^46+432*p^8*q^48+1212*p^13*q^42+41562*p^11*q^44+ 2868*p^9*q^46+9522*p^12*q^42+25942*p^10*q^44+530*p^8*q^46+172*p^13*q^40+39218*p ^11*q^42+5318*p^9*q^44+24*p^7*q^46+5451*p^12*q^40+25426*p^10*q^42+236*p^8*q^44+ 76*p^13*q^38+21395*p^11*q^40+8854*p^9*q^42+130*p^7*q^44+1118*p^12*q^38+32616*p^ 10*q^40+744*p^8*q^42+14522*p^11*q^38+9820*p^9*q^40+632*p^12*q^36+26936*p^10*q^ 38+1596*p^8*q^40+14*p^6*q^42+5464*p^11*q^36+13564*p^9*q^38+52*p^7*q^40+28*p^12* q^34+21805*p^10*q^36+2960*p^8*q^38+2424*p^11*q^34+16513*p^9*q^36+108*p^7*q^38+5 *p^12*q^32+13924*p^10*q^34+3089*p^8*q^36+592*p^11*q^32+17662*p^9*q^34+522*p^7*q ^36+6274*p^10*q^32+5516*p^8*q^34+40*p^11*q^30+16912*p^9*q^32+660*p^7*q^34+3134* p^10*q^30+6741*p^8*q^32+28*p^6*q^34+10*p^11*q^28+10326*p^9*q^30+995*p^7*q^32+ 350*p^10*q^28+10754*p^8*q^30+148*p^6*q^32+7536*p^9*q^28+1222*p^7*q^30+120*p^10* q^26+8456*p^8*q^28+78*p^6*q^30+2050*p^9*q^26+3558*p^7*q^28+16*p^5*q^30+8878*p^8 *q^26+106*p^6*q^28+555*p^9*q^24+3806*p^7*q^26+5278*p^8*q^24+564*p^6*q^26+60*p^9 *q^22+4610*p^7*q^24+1580*p^8*q^22+1112*p^6*q^24+5824*p^7*q^22+32*p^5*q^24+450*p ^8*q^20+1026*p^6*q^22+2780*p^7*q^20+218*p^5*q^22+6*p^8*q^18+2774*p^6*q^20+1308* p^7*q^18+66*p^5*q^20+2394*p^6*q^18+18*p^4*q^20+117*p^7*q^16+602*p^5*q^18+1828*p ^6*q^16+960*p^5*q^16+490*p^6*q^14+46*p^4*q^16+1152*p^5*q^14+7*p^6*q^12+202*p^4* q^14+812*p^5*q^12+288*p^4*q^12+56*p^5*q^10+20*p^3*q^12+594*p^4*q^10+20*p^3*q^10 +126*p^4*q^8+191*p^3*q^8+120*p^3*q^6+22*p^2*q^6+55*p^2*q^4+12*p*q^2+1 J[14](p, q), equals p^91*q^910+13*p^90*q^908+66*p^89*q^906+24*p^89*q^904+165*p^88*q^904+232*p^88*q^ 902+210*p^87*q^902+22*p^88*q^900+830*p^87*q^900+22*p^88*q^898+126*p^86*q^900+ 360*p^87*q^898+1368*p^86*q^898+244*p^87*q^896+28*p^85*q^898+1692*p^86*q^896+51* p^87*q^894+1064*p^85*q^896+1296*p^86*q^894+p^84*q^896+3293*p^85*q^894+757*p^86* q^892+364*p^84*q^894+20*p^87*q^890+3840*p^85*q^892+74*p^86*q^890+2982*p^84*q^ 892+4005*p^85*q^890+42*p^83*q^892+262*p^86*q^888+5754*p^84*q^890+1348*p^85*q^ 888+1332*p^83*q^890+36*p^86*q^886+10108*p^84*q^888+1476*p^85*q^886+4308*p^83*q^ 888+7266*p^84*q^886+270*p^82*q^888+704*p^85*q^884+12041*p^83*q^886+5662*p^84*q^ 884+1880*p^82*q^886+120*p^85*q^882+17280*p^83*q^884+15*p^81*q^886+18*p^86*q^880 +5010*p^84*q^882+6541*p^82*q^884+88*p^85*q^880+15224*p^83*q^882+500*p^81*q^884+ 1598*p^84*q^880+19152*p^82*q^882+184*p^85*q^878+17684*p^83*q^880+1763*p^81*q^ 882+1244*p^84*q^878+23960*p^82*q^880+60*p^80*q^882+32*p^85*q^876+10200*p^83*q^ 878+10236*p^81*q^880+891*p^84*q^876+34724*p^82*q^878+306*p^80*q^880+7904*p^83*q ^876+19873*p^81*q^878+656*p^84*q^874+32663*p^82*q^876+2720*p^80*q^878+4409*p^83 *q^874+37264*p^81*q^876+55*p^79*q^878+124*p^84*q^872+28052*p^82*q^874+9273*p^80 *q^876+4134*p^83*q^872+52960*p^81*q^874+280*p^79*q^876+60*p^84*q^870+21613*p^82 *q^872+21088*p^80*q^874+5*p^78*q^876+16*p^85*q^868+2050*p^83*q^870+58100*p^81*q ^872+2771*p^79*q^874+15436*p^82*q^870+45393*p^80*q^872+944*p^83*q^868+63097*p^ 81*q^870+6440*p^79*q^872+164*p^84*q^866+13118*p^82*q^868+63952*p^80*q^870+478*p ^78*q^872+274*p^83*q^866+46340*p^81*q^868+22244*p^79*q^870+28*p^84*q^864+7464*p ^82*q^866+98641*p^80*q^868+1196*p^78*q^870+736*p^83*q^864+45404*p^81*q^866+ 38100*p^79*q^868+30*p^77*q^870+3814*p^82*q^864+96594*p^80*q^866+6637*p^78*q^868 +554*p^83*q^862+35766*p^81*q^864+77937*p^79*q^866+196*p^77*q^868+2722*p^82*q^ 862+100172*p^80*q^864+14258*p^78*q^866+64*p^83*q^860+23548*p^81*q^862+116392*p^ 79*q^864+974*p^77*q^866+3873*p^82*q^860+98778*p^80*q^862+32242*p^78*q^864+20*p^ 76*q^866+52*p^83*q^858+13324*p^81*q^860+137532*p^79*q^862+4456*p^77*q^864+1156* p^82*q^858+85964*p^80*q^860+74720*p^78*q^862+34*p^76*q^864+15790*p^81*q^858+ 163978*p^79*q^860+7296*p^77*q^862+14*p^84*q^854+883*p^82*q^856+59398*p^80*q^858 +110814*p^78*q^860+1020*p^76*q^862+9268*p^81*q^856+177844*p^79*q^858+27110*p^77 *q^860+180*p^82*q^854+51079*p^80*q^856+165102*p^78*q^858+1210*p^76*q^860+144*p^ 83*q^852+6752*p^81*q^854+169560*p^79*q^856+50886*p^77*q^858+108*p^75*q^860+114* p^82*q^852+42382*p^80*q^854+208156*p^78*q^856+5874*p^76*q^858+24*p^83*q^850+ 3260*p^81*q^852+138751*p^79*q^854+100912*p^77*q^856+274*p^75*q^858+608*p^82*q^ 850+31269*p^80*q^852+265294*p^78*q^854+14464*p^76*q^856+1504*p^81*q^850+132042* p^79*q^852+146602*p^77*q^854+708*p^75*q^856+420*p^82*q^848+23462*p^80*q^850+ 266116*p^78*q^852+35342*p^76*q^854+60*p^74*q^856+2160*p^81*q^848+101884*p^79*q^ 850+226392*p^77*q^852+3064*p^75*q^854+54*p^82*q^846+11590*p^80*q^848+278476*p^ 78*q^850+71620*p^76*q^852+48*p^74*q^854+2390*p^81*q^846+94954*p^79*q^848+296719 *p^77*q^850+6568*p^75*q^852+6*p^73*q^854+44*p^82*q^844+11568*p^80*q^846+250013* p^78*q^848+112688*p^76*q^850+456*p^74*q^852+960*p^81*q^844+59322*p^79*q^846+ 366514*p^77*q^848+24072*p^75*q^850+8661*p^80*q^844+244218*p^78*q^846+189759*p^ 76*q^848+618*p^74*q^850+682*p^81*q^842+52736*p^79*q^844+401609*p^77*q^846+38214 *p^75*q^848+46*p^73*q^850+6764*p^80*q^842+199072*p^78*q^844+282102*p^76*q^846+ 5074*p^74*q^848+12*p^83*q^838+176*p^81*q^840+37393*p^79*q^842+428876*p^77*q^844 +77590*p^75*q^846+52*p^73*q^848+5014*p^80*q^840+167642*p^78*q^842+385131*p^76*q ^844+9960*p^74*q^846+4*p^72*q^848+60*p^81*q^838+28588*p^79*q^840+433919*p^77*q^ 842+132372*p^75*q^844+480*p^73*q^846+124*p^82*q^836+2848*p^80*q^838+149685*p^78 *q^840+462592*p^76*q^842+21338*p^74*q^844+4*p^72*q^846+40*p^81*q^836+24376*p^79 *q^838+377092*p^77*q^840+221832*p^75*q^842+2304*p^73*q^844+20*p^82*q^834+902*p^ 80*q^836+102434*p^78*q^838+601054*p^76*q^840+43442*p^74*q^842+6*p^72*q^844+484* p^81*q^834+19598*p^79*q^836+389567*p^77*q^838+299990*p^75*q^840+3360*p^73*q^842 +844*p^80*q^834+88948*p^78*q^836+584726*p^76*q^838+85256*p^74*q^840+360*p^72*q^ 842+360*p^81*q^832+9430*p^79*q^834+316254*p^77*q^836+477369*p^75*q^838+11380*p^ 73*q^840+1022*p^80*q^832+78962*p^78*q^834+652367*p^76*q^836+130326*p^74*q^838+ 240*p^72*q^840+44*p^81*q^830+7204*p^79*q^832+265676*p^77*q^834+585256*p^75*q^ 836+22449*p^73*q^838+24*p^71*q^840+2040*p^80*q^830+57860*p^78*q^832+650182*p^76 *q^834+217938*p^74*q^836+2216*p^72*q^838+36*p^81*q^828+4052*p^79*q^830+230644*p ^77*q^832+707511*p^75*q^834+45762*p^73*q^836+12*p^71*q^838+782*p^80*q^828+40342 *p^78*q^830+612068*p^76*q^832+354606*p^74*q^834+4289*p^72*q^836+6048*p^79*q^828 +206935*p^77*q^830+833438*p^75*q^832+66789*p^73*q^834+204*p^71*q^836+560*p^80*q ^826+28239*p^78*q^828+544586*p^76*q^830+484588*p^74*q^832+11560*p^72*q^834+5200 *p^79*q^826+162986*p^77*q^828+904902*p^75*q^830+134986*p^73*q^832+849*p^71*q^ 834+92*p^80*q^824+19160*p^78*q^826+503943*p^76*q^828+671514*p^74*q^830+19791*p^ 72*q^832+3888*p^79*q^824+132264*p^77*q^826+965158*p^75*q^828+207362*p^73*q^830+ 1478*p^71*q^832+10*p^82*q^820+48*p^80*q^822+21548*p^78*q^824+451774*p^76*q^826+ 810768*p^74*q^828+36084*p^72*q^830+144*p^70*q^832+1768*p^79*q^822+88062*p^77*q^ 824+904255*p^75*q^826+354110*p^73*q^828+5413*p^71*q^830+32*p^80*q^820+16932*p^ 78*q^822+411598*p^76*q^824+1067102*p^74*q^826+60155*p^72*q^828+60*p^70*q^830+ 104*p^81*q^818+656*p^79*q^820+79902*p^77*q^822+897110*p^75*q^824+458824*p^73*q^ 826+8574*p^71*q^828+12*p^69*q^830+13064*p^78*q^820+325158*p^76*q^822+1154555*p^ 74*q^824+123306*p^72*q^826+874*p^70*q^828+16*p^81*q^816+654*p^79*q^818+63326*p^ 77*q^820+863884*p^75*q^822+692602*p^73*q^824+14896*p^71*q^826+408*p^80*q^816+ 6052*p^78*q^818+270926*p^76*q^820+1252078*p^74*q^822+188318*p^72*q^824+1950*p^ 70*q^826+124*p^79*q^816+56616*p^77*q^818+813906*p^75*q^820+930448*p^73*q^822+ 27132*p^71*q^824+42*p^69*q^826+300*p^80*q^814+5650*p^78*q^816+224564*p^76*q^818 +1297944*p^74*q^820+282816*p^72*q^822+3742*p^70*q^824+870*p^79*q^814+37624*p^77 *q^816+701960*p^75*q^818+1150192*p^73*q^820+62740*p^71*q^822+360*p^69*q^824+34* p^80*q^812+2280*p^78*q^814+190452*p^76*q^816+1355904*p^74*q^818+461152*p^72*q^ 820+4548*p^70*q^822+1646*p^79*q^812+29854*p^77*q^814+654240*p^75*q^816+1343081* p^73*q^818+81494*p^71*q^820+674*p^69*q^822+28*p^80*q^810+2311*p^78*q^812+159040 *p^76*q^814+1300086*p^74*q^816+655932*p^72*q^818+15241*p^70*q^820+36*p^68*q^822 +616*p^79*q^810+19604*p^77*q^812+532224*p^75*q^814+1561690*p^73*q^816+156924*p^ 71*q^818+1340*p^69*q^820+4340*p^78*q^810+122325*p^76*q^812+1314000*p^74*q^814+ 902750*p^72*q^816+20196*p^70*q^818+42*p^68*q^820+424*p^79*q^808+13280*p^77*q^ 810+491306*p^75*q^812+1672665*p^73*q^814+245126*p^71*q^816+2258*p^69*q^818+3762 *p^78*q^808+98774*p^76*q^810+1192875*p^74*q^812+1167742*p^72*q^814+39219*p^70*q ^816+396*p^68*q^818+68*p^79*q^806+11666*p^77*q^808+406134*p^75*q^810+1783704*p^ 73*q^812+394821*p^71*q^814+4706*p^69*q^816+2884*p^78*q^806+70698*p^76*q^808+ 1109760*p^74*q^810+1489709*p^72*q^812+71254*p^70*q^814+383*p^68*q^816+36*p^79*q ^804+12384*p^77*q^806+350166*p^75*q^808+1885449*p^73*q^810+546888*p^71*q^812+ 7016*p^69*q^814+48*p^67*q^816+1374*p^78*q^804+56668*p^76*q^806+1030669*p^74*q^ 808+1674272*p^72*q^810+119944*p^70*q^812+828*p^68*q^814+8*p^81*q^800+24*p^79*q^ 802+11818*p^77*q^804+269342*p^75*q^806+1842092*p^73*q^808+852100*p^71*q^810+ 18270*p^69*q^812+141*p^67*q^814+480*p^78*q^802+40264*p^76*q^804+924866*p^74*q^ 806+2009393*p^72*q^808+182336*p^70*q^810+764*p^68*q^812+9064*p^77*q^802+244200* p^75*q^804+1854320*p^73*q^806+1087956*p^71*q^808+27464*p^69*q^810+70*p^67*q^812 +84*p^80*q^798+526*p^78*q^800+40514*p^76*q^802+789990*p^74*q^804+2150182*p^72*q ^806+300361*p^70*q^808+3800*p^68*q^810+33*p^66*q^812+4588*p^77*q^800+169168*p^ 75*q^802+1790988*p^73*q^804+1438604*p^71*q^806+52422*p^69*q^808+38*p^67*q^810+ 12*p^80*q^796+80*p^78*q^798+34070*p^76*q^800+714508*p^74*q^802+2372689*p^72*q^ 804+472706*p^70*q^806+5567*p^68*q^808+332*p^79*q^796+4300*p^77*q^798+148406*p^ 75*q^800+1704202*p^73*q^802+1736396*p^71*q^804+73280*p^69*q^806+562*p^67*q^808+ 3*p^65*q^810+52*p^78*q^796+25102*p^76*q^798+604250*p^74*q^800+2434706*p^72*q^ 802+692687*p^70*q^804+12508*p^68*q^806+240*p^79*q^794+1796*p^77*q^796+121050*p^ 75*q^798+1577470*p^73*q^800+2104171*p^71*q^802+136402*p^69*q^804+1134*p^67*q^ 806+636*p^78*q^794+20965*p^76*q^796+496696*p^74*q^798+2562225*p^72*q^800+958274 *p^70*q^802+17624*p^68*q^804+48*p^66*q^806+24*p^79*q^792+772*p^77*q^794+95584*p ^75*q^796+1481856*p^73*q^798+2400566*p^71*q^800+225404*p^69*q^802+1824*p^67*q^ 804+1340*p^78*q^792+16328*p^76*q^794+436460*p^74*q^796+2564890*p^72*q^798+ 1246116*p^70*q^800+27504*p^68*q^802+217*p^66*q^804+20*p^79*q^790+972*p^77*q^792 +78577*p^75*q^794+1291118*p^73*q^796+2646910*p^71*q^798+374436*p^69*q^800+5330* p^67*q^802+464*p^78*q^790+7242*p^76*q^792+336464*p^74*q^794+2592408*p^72*q^796+ 1702804*p^70*q^798+49169*p^68*q^800+92*p^66*q^802+3434*p^77*q^790+73796*p^75*q^ 792+1208720*p^73*q^794+2931264*p^71*q^796+493674*p^69*q^798+4620*p^67*q^800+33* p^65*q^802+324*p^78*q^788+5078*p^76*q^790+283789*p^74*q^792+2434332*p^72*q^794+ 1976366*p^70*q^796+107574*p^68*q^798+1226*p^66*q^800+2736*p^77*q^788+49204*p^75 *q^790+1029902*p^73*q^792+3183085*p^71*q^794+797830*p^69*q^796+7464*p^67*q^798+ 44*p^78*q^786+6648*p^76*q^788+234462*p^74*q^790+2412408*p^72*q^792+2367346*p^70 *q^794+149926*p^68*q^796+1176*p^66*q^798+3*p^64*q^800+2282*p^77*q^786+33846*p^ 75*q^788+902739*p^73*q^790+3324960*p^71*q^792+1068818*p^69*q^794+20194*p^67*q^ 796+124*p^65*q^798+24*p^78*q^784+8072*p^76*q^786+210275*p^74*q^788+2238742*p^72 *q^790+2762017*p^70*q^792+243798*p^68*q^794+806*p^66*q^796+1068*p^77*q^784+ 24048*p^75*q^786+721632*p^73*q^788+3428288*p^71*q^790+1401132*p^69*q^792+39398* p^67*q^794+370*p^65*q^796+16*p^78*q^782+8380*p^76*q^784+160218*p^74*q^786+ 2159225*p^72*q^788+3177388*p^70*q^790+395801*p^68*q^792+2274*p^66*q^794+296*p^ 77*q^782+22728*p^75*q^784+647276*p^73*q^786+3466020*p^71*q^788+1755007*p^69*q^ 790+55070*p^67*q^792+60*p^65*q^794+6*p^80*q^778+7382*p^76*q^782+118918*p^74*q^ 784+1895134*p^72*q^786+3496204*p^70*q^788+577650*p^68*q^790+7472*p^66*q^792+74* p^64*q^794+356*p^77*q^780+21497*p^75*q^782+559778*p^73*q^784+3489082*p^71*q^786 +2178158*p^69*q^788+109465*p^67*q^790+176*p^65*q^792+2962*p^76*q^780+89622*p^74 *q^782+1665215*p^72*q^784+3889300*p^70*q^786+826487*p^68*q^788+10716*p^66*q^790 +4*p^64*q^792+64*p^79*q^776+32*p^77*q^778+25248*p^75*q^780+464327*p^73*q^782+ 3572916*p^71*q^784+2567895*p^69*q^786+156702*p^67*q^788+864*p^65*q^790+6*p^63*q ^792+3212*p^76*q^778+76172*p^74*q^780+1505510*p^72*q^782+4017387*p^70*q^784+ 1105806*p^68*q^786+24154*p^66*q^788+8*p^64*q^790+8*p^79*q^774+32*p^77*q^776+ 16596*p^75*q^778+358108*p^73*q^780+3290842*p^71*q^782+3132432*p^69*q^784+278254 *p^67*q^786+1548*p^65*q^788+256*p^78*q^774+962*p^76*q^776+66974*p^74*q^778+ 1360483*p^72*q^780+4457612*p^70*q^782+1432606*p^68*q^784+33158*p^66*q^786+68*p^ 64*q^788+12*p^77*q^774+16052*p^75*q^776+299701*p^73*q^778+3156394*p^71*q^780+ 3480036*p^69*q^782+397180*p^67*q^784+4024*p^65*q^786+180*p^78*q^772+464*p^76*q^ 774+58232*p^74*q^776+1149184*p^72*q^778+4609089*p^70*q^780+1819258*p^68*q^782+ 66376*p^66*q^784+104*p^64*q^786+492*p^77*q^772+10068*p^75*q^774+242650*p^73*q^ 776+2931294*p^71*q^778+3959220*p^69*q^780+603205*p^67*q^782+6986*p^65*q^784+4*p ^63*q^786+14*p^78*q^770+254*p^76*q^772+53420*p^74*q^774+966219*p^72*q^776+ 4747306*p^70*q^778+2276552*p^68*q^780+105248*p^66*q^782+452*p^64*q^784+1022*p^ 77*q^770+4344*p^75*q^772+192382*p^73*q^774+2800090*p^71*q^776+4445371*p^69*q^ 778+807448*p^67*q^780+11134*p^65*q^782+12*p^78*q^768+690*p^76*q^770+50334*p^74* q^772+849070*p^72*q^774+4661007*p^70*q^776+2674954*p^68*q^778+170438*p^66*q^780 +1264*p^64*q^782+340*p^77*q^768+3194*p^75*q^770+161014*p^73*q^772+2420176*p^71* q^774+4965920*p^69*q^776+1115591*p^67*q^778+25218*p^65*q^780+24*p^63*q^782+2440 *p^76*q^768+27872*p^74*q^770+687624*p^72*q^772+4781476*p^70*q^774+3208103*p^68* q^776+273278*p^66*q^778+1314*p^64*q^780+224*p^77*q^766+2296*p^75*q^768+163048*p ^73*q^770+2254554*p^71*q^772+5321988*p^69*q^774+1397916*p^67*q^776+30372*p^65*q ^778+148*p^63*q^780+2162*p^76*q^766+23432*p^74*q^768+545462*p^72*q^770+4567330* p^70*q^772+3697486*p^68*q^774+411232*p^66*q^776+5466*p^64*q^778+20*p^77*q^764+ 3894*p^75*q^766+118528*p^73*q^768+1978618*p^71*q^770+5688178*p^69*q^772+1826801 *p^67*q^774+66004*p^65*q^776+122*p^63*q^778+1664*p^76*q^764+13654*p^74*q^766+ 497638*p^72*q^768+4375778*p^70*q^770+4367201*p^68*q^772+561796*p^66*q^774+4586* p^64*q^776+8*p^62*q^778+12*p^77*q^762+5536*p^75*q^764+103240*p^73*q^766+1698212 *p^71*q^768+6025209*p^69*q^770+2164520*p^67*q^772+113272*p^65*q^774+794*p^63*q^ 776+682*p^76*q^762+12232*p^74*q^764+404270*p^72*q^766+4223274*p^70*q^768+ 4856120*p^68*q^770+792390*p^66*q^772+10338*p^64*q^774+8*p^62*q^776+8*p^77*q^760 +6442*p^75*q^762+73336*p^73*q^764+1463404*p^71*q^766+6134662*p^69*q^768+2669425 *p^67*q^770+174356*p^65*q^772+1078*p^63*q^774+164*p^76*q^760+11368*p^74*q^762+ 339938*p^72*q^764+3874026*p^70*q^766+5611084*p^68*q^768+1057798*p^66*q^770+ 22698*p^64*q^772+56*p^62*q^774+5080*p^75*q^760+57400*p^73*q^762+1301064*p^71*q^ 764+6359814*p^69*q^766+3164442*p^67*q^768+244810*p^65*q^770+852*p^63*q^772+194* p^76*q^758+13752*p^74*q^760+289050*p^72*q^762+3525496*p^70*q^764+6059054*p^68*q ^766+1310960*p^66*q^768+41914*p^64*q^770+263*p^62*q^772+4*p^79*q^754+1998*p^75* q^758+46208*p^73*q^760+1044342*p^71*q^762+6314528*p^69*q^764+3815954*p^67*q^766 +405562*p^65*q^768+3370*p^63*q^770+20*p^76*q^756+16976*p^74*q^758+224421*p^72*q ^760+3264812*p^70*q^762+6736247*p^68*q^764+1666614*p^66*q^766+57862*p^64*q^768+ 16*p^62*q^770+1876*p^75*q^756+34196*p^73*q^758+937708*p^71*q^760+6216650*p^69*q ^762+4415418*p^67*q^764+526758*p^65*q^766+6656*p^63*q^768+42*p^61*q^770+44*p^78 *q^752+12*p^76*q^754+12198*p^74*q^756+198902*p^72*q^758+2894053*p^70*q^760+ 7147648*p^68*q^762+2033893*p^66*q^764+108774*p^64*q^766+324*p^62*q^768+606*p^75 *q^754+36348*p^73*q^756+730240*p^71*q^758+6006436*p^69*q^760+5179343*p^67*q^762 +732736*p^65*q^764+13696*p^63*q^766+4*p^78*q^750+4*p^76*q^752+10044*p^74*q^754+ 145054*p^72*q^756+2582334*p^70*q^758+7734246*p^68*q^760+2506370*p^66*q^762+ 159812*p^64*q^764+576*p^62*q^766+3*p^60*q^768+180*p^77*q^750+220*p^75*q^752+ 37396*p^73*q^754+678984*p^71*q^756+5788579*p^69*q^758+5808698*p^67*q^760+916575 *p^65*q^762+19640*p^63*q^764+16*p^61*q^766+8*p^76*q^750+6194*p^74*q^752+114126* p^72*q^754+2178777*p^70*q^756+7948724*p^68*q^758+3071511*p^66*q^760+253064*p^64 *q^762+2470*p^62*q^764+120*p^77*q^748+114*p^75*q^750+35720*p^73*q^752+539864*p^ 71*q^754+5519554*p^69*q^756+6644355*p^67*q^758+1171692*p^65*q^760+35564*p^63*q^ 762+20*p^61*q^764+336*p^76*q^748+2680*p^74*q^750+96568*p^72*q^752+1915954*p^70* q^754+8130312*p^68*q^756+3661974*p^66*q^758+358609*p^64*q^760+3700*p^62*q^762+4 *p^77*q^746+164*p^75*q^748+30286*p^73*q^750+449472*p^71*q^752+5090538*p^69*q^ 754+7539854*p^67*q^756+1471161*p^65*q^758+58444*p^63*q^760+168*p^61*q^762+760*p ^76*q^746+1745*p^74*q^748+96290*p^72*q^750+1691132*p^70*q^752+8280948*p^68*q^ 754+4212823*p^66*q^756+457962*p^64*q^758+5702*p^62*q^760+4*p^77*q^744+316*p^75* q^746+18612*p^73*q^748+348456*p^71*q^750+4561554*p^69*q^752+8120458*p^67*q^754+ 1904500*p^65*q^756+114303*p^63*q^758+838*p^61*q^760+180*p^76*q^744+1228*p^74*q^ 746+88734*p^72*q^748+1408312*p^70*q^750+8428538*p^68*q^752+5148592*p^66*q^754+ 611084*p^64*q^756+8030*p^62*q^758+1864*p^75*q^744+14023*p^73*q^746+297694*p^71* q^748+4268801*p^69*q^750+8774946*p^67*q^752+2210312*p^65*q^754+144390*p^63*q^ 756+704*p^61*q^758+116*p^76*q^742+902*p^74*q^744+77676*p^72*q^746+1214503*p^70* q^748+8029744*p^68*q^750+5950962*p^66*q^752+812810*p^64*q^754+25772*p^62*q^756+ 112*p^60*q^758+1492*p^75*q^742+7868*p^73*q^744+245197*p^71*q^746+3716726*p^69*q ^748+9579321*p^67*q^750+2753228*p^65*q^752+216922*p^63*q^754+648*p^61*q^756+8*p ^76*q^740+2130*p^74*q^742+62928*p^72*q^744+1003434*p^70*q^746+7968771*p^68*q^ 748+6792102*p^66*q^750+1023298*p^64*q^752+36776*p^62*q^754+88*p^60*q^756+968*p^ 75*q^740+6686*p^73*q^742+227018*p^71*q^744+3308134*p^69*q^746+9991082*p^67*q^ 748+3322573*p^65*q^750+292604*p^63*q^752+3314*p^61*q^754+6*p^59*q^756+4242*p^74 *q^740+44774*p^72*q^742+853804*p^70*q^744+7541048*p^68*q^746+7715616*p^66*q^748 +1274358*p^64*q^750+58742*p^62*q^752+20*p^60*q^754+372*p^75*q^738+4016*p^73*q^ 740+199935*p^71*q^742+2899496*p^69*q^744+10334805*p^67*q^746+4044300*p^65*q^748 +402253*p^63*q^750+7848*p^61*q^752+8*p^59*q^754+4*p^76*q^736+4164*p^74*q^738+ 34162*p^72*q^740+683072*p^70*q^742+7105361*p^68*q^744+8799846*p^66*q^746+ 1565582*p^64*q^748+89956*p^62*q^750+160*p^60*q^752+16*p^75*q^736+6088*p^73*q^ 738+168852*p^71*q^740+2573800*p^69*q^742+10739830*p^67*q^744+4712159*p^65*q^746 +528332*p^63*q^748+10662*p^61*q^750+3308*p^74*q^736+25778*p^72*q^738+603743*p^ 70*q^740+6491040*p^68*q^742+9599064*p^66*q^744+1933710*p^64*q^746+125974*p^62*q ^748+1264*p^60*q^750+112*p^75*q^734+8832*p^73*q^736+138002*p^71*q^738+2148742*p ^69*q^740+10820549*p^67*q^742+5685978*p^65*q^744+676186*p^63*q^746+23718*p^61*q ^748+760*p^74*q^734+15838*p^72*q^736+496644*p^70*q^738+6069227*p^68*q^740+ 10610982*p^66*q^742+2404395*p^64*q^744+182294*p^62*q^746+1128*p^60*q^748+8*p^75 *q^732+12368*p^73*q^734+115330*p^71*q^736+1896343*p^69*q^738+10762716*p^67*q^ 740+6588459*p^65*q^742+805138*p^63*q^744+30834*p^61*q^746+92*p^59*q^748+2*p^78* q^728+1040*p^74*q^732+14640*p^72*q^734+451810*p^70*q^736+5371406*p^68*q^738+ 11369723*p^66*q^740+2886110*p^64*q^742+263112*p^62*q^744+4476*p^60*q^746+6960*p ^73*q^732+83414*p^71*q^734+1532436*p^69*q^736+10572220*p^67*q^738+7689776*p^65* q^740+1070820*p^63*q^742+49632*p^61*q^744+108*p^59*q^746+328*p^74*q^730+23349*p ^72*q^732+375954*p^70*q^734+5001273*p^68*q^736+12254166*p^66*q^738+3540683*p^64 *q^740+319496*p^62*q^742+6548*p^60*q^744+24*p^77*q^726+5376*p^73*q^730+59464*p^ 71*q^732+1339866*p^69*q^734+10119320*p^67*q^736+8683723*p^65*q^738+1278642*p^63 *q^740+78314*p^61*q^742+426*p^59*q^744+28*p^74*q^728+25136*p^72*q^730+321823*p^ 70*q^732+4316796*p^68*q^734+12917375*p^66*q^736+4256590*p^64*q^738+417901*p^62* q^740+11484*p^60*q^742+8*p^58*q^744+4*p^75*q^726+3680*p^73*q^728+45963*p^71*q^ 730+1145378*p^69*q^732+9651749*p^67*q^734+9876144*p^65*q^736+1611508*p^63*q^738 +113024*p^61*q^740+1136*p^59*q^742+110*p^76*q^724+16*p^74*q^726+20032*p^72*q^ 728+262218*p^70*q^730+3777506*p^68*q^732+13476624*p^66*q^734+5135970*p^64*q^736 +527874*p^62*q^738+17864*p^60*q^740+16*p^58*q^742+956*p^73*q^726+55800*p^71*q^ 728+965361*p^69*q^730+9281324*p^67*q^732+11035878*p^65*q^734+1961274*p^63*q^736 +148360*p^61*q^738+1832*p^59*q^740+44*p^76*q^722+104*p^74*q^724+19304*p^72*q^ 726+193532*p^70*q^728+3350402*p^68*q^730+13529930*p^66*q^732+6016594*p^64*q^734 +660330*p^62*q^736+28194*p^60*q^738+110*p^58*q^740+240*p^75*q^722+588*p^73*q^ 724+50852*p^71*q^726+850108*p^69*q^728+8349994*p^67*q^730+12315190*p^65*q^732+ 2451664*p^63*q^734+204608*p^61*q^736+4672*p^59*q^738+8*p^74*q^722+8912*p^72*q^ 724+155254*p^70*q^726+2806548*p^68*q^728+13967696*p^66*q^730+7146110*p^64*q^732 +828558*p^62*q^734+42724*p^60*q^736+106*p^58*q^738+382*p^75*q^720+780*p^73*q^ 722+58384*p^71*q^724+727843*p^69*q^726+8010442*p^67*q^728+13306694*p^65*q^730+ 2932870*p^63*q^732+243425*p^61*q^734+4696*p^59*q^736+252*p^74*q^720+6294*p^72*q ^722+132508*p^70*q^724+2428374*p^68*q^726+13518577*p^66*q^728+8200222*p^64*q^ 730+1036328*p^62*q^732+70786*p^60*q^734+1134*p^58*q^736+40*p^75*q^718+320*p^73* q^720+43428*p^71*q^722+574248*p^69*q^724+7027093*p^67*q^726+14681484*p^65*q^728 +3680306*p^63*q^730+330206*p^61*q^732+8248*p^59*q^734+1188*p^74*q^718+4168*p^72 *q^720+131494*p^70*q^722+2130720*p^68*q^724+13601716*p^66*q^726+9425350*p^64*q^ 728+1244532*p^62*q^730+84342*p^60*q^732+876*p^58*q^734+40*p^75*q^716+150*p^73*q ^718+32872*p^71*q^720+465888*p^69*q^722+6387704*p^67*q^724+15384112*p^65*q^726+ 4424276*p^63*q^728+409569*p^61*q^730+17520*p^59*q^732+124*p^57*q^734+576*p^74*q ^716+3340*p^72*q^718+129048*p^70*q^720+1840340*p^68*q^722+13050446*p^66*q^724+ 10872540*p^64*q^726+1541501*p^62*q^728+116408*p^60*q^730+992*p^58*q^732+1644*p^ 73*q^716+22852*p^71*q^718+379520*p^69*q^720+5539862*p^67*q^722+16204194*p^65*q^ 724+5214232*p^63*q^726+519614*p^61*q^728+26781*p^59*q^730+288*p^57*q^732+408*p^ 74*q^714+1176*p^72*q^716+108094*p^70*q^718+1558600*p^68*q^720+12537482*p^66*q^ 722+12378403*p^64*q^724+2000802*p^62*q^726+150664*p^60*q^728+2612*p^58*q^730+ 2318*p^73*q^714+17516*p^71*q^716+343670*p^69*q^718+4990926*p^67*q^720+16862802* p^65*q^722+6149826*p^63*q^724+593497*p^61*q^726+34498*p^59*q^728+56*p^57*q^730+ 92*p^74*q^712+1524*p^72*q^714+96994*p^70*q^716+1290074*p^68*q^718+11856737*p^66 *q^720+13648210*p^64*q^722+2429752*p^62*q^724+199466*p^60*q^726+6163*p^58*q^728 +66*p^56*q^730+2028*p^73*q^712+11948*p^71*q^714+292334*p^69*q^716+4337686*p^67* q^718+17123390*p^65*q^720+7406046*p^63*q^722+777368*p^61*q^724+52845*p^59*q^726 +236*p^57*q^728+3846*p^72*q^712+67462*p^70*q^714+1074311*p^68*q^716+10882484*p^ 66*q^718+15381989*p^64*q^720+2926126*p^62*q^722+246554*p^60*q^724+8572*p^58*q^ 726+1216*p^73*q^710+6362*p^71*q^712+285986*p^69*q^714+3829870*p^67*q^716+ 17667754*p^65*q^718+8507814*p^63*q^720+960982*p^61*q^722+63228*p^59*q^724+757*p ^57*q^726+6*p^55*q^728+36*p^74*q^708+5604*p^72*q^710+60104*p^70*q^712+901144*p^ 68*q^714+10037067*p^66*q^716+16344232*p^64*q^718+3596224*p^62*q^720+292460*p^60 *q^722+15396*p^58*q^724+8*p^56*q^726+140*p^73*q^708+5384*p^71*q^710+226824*p^69 *q^712+3235835*p^67*q^714+17415114*p^65*q^716+10164671*p^63*q^718+1234824*p^61* q^720+93516*p^59*q^722+1804*p^57*q^724+5874*p^72*q^708+41184*p^70*q^710+787178* p^68*q^712+9187172*p^66*q^714+17994124*p^64*q^716+4287880*p^62*q^718+352238*p^ 60*q^720+17664*p^58*q^722+32*p^56*q^724+436*p^73*q^706+9082*p^71*q^708+196456*p ^69*q^710+2825086*p^67*q^712+17056024*p^65*q^714+11458286*p^63*q^716+1510243*p^ 61*q^718+116964*p^59*q^720+3240*p^57*q^722+2212*p^72*q^706+24824*p^70*q^708+ 681118*p^68*q^710+8221977*p^66*q^712+19132044*p^64*q^714+5212504*p^62*q^716+ 453368*p^60*q^718+28042*p^58*q^720+244*p^56*q^722+64*p^73*q^704+14922*p^71*q^ 706+172968*p^69*q^708+2352122*p^67*q^710+16677928*p^65*q^712+13087260*p^63*q^ 714+1864334*p^61*q^716+135798*p^59*q^718+4264*p^57*q^720+2258*p^72*q^704+19520* p^70*q^706+568826*p^68*q^708+7364702*p^66*q^710+20169480*p^64*q^712+6239582*p^ 62*q^714+584901*p^60*q^716+43158*p^58*q^718+566*p^56*q^720+10792*p^71*q^704+ 126080*p^69*q^706+2054118*p^67*q^708+15901750*p^65*q^710+14854998*p^63*q^712+ 2272480*p^61*q^714+156794*p^59*q^716+6146*p^57*q^718+8*p^55*q^720+1136*p^72*q^ 702+28598*p^70*q^704+514412*p^68*q^706+6539087*p^66*q^708+20895040*p^64*q^710+ 7293169*p^62*q^712+711050*p^60*q^714+51598*p^58*q^716+826*p^56*q^718+4*p^73*q^ 700+8512*p^71*q^702+84888*p^69*q^704+1705388*p^67*q^706+14948914*p^65*q^708+ 16668952*p^63*q^710+2865406*p^61*q^712+217140*p^59*q^714+13008*p^57*q^716+88*p^ 55*q^718+212*p^72*q^700+28276*p^70*q^702+446428*p^68*q^704+5647062*p^66*q^706+ 21700556*p^64*q^708+8685442*p^62*q^710+889384*p^60*q^712+56956*p^58*q^714+738*p ^56*q^716+32*p^73*q^698+7316*p^71*q^700+79132*p^69*q^702+1490122*p^67*q^704+ 14130838*p^65*q^706+18238336*p^63*q^708+3369929*p^61*q^710+254246*p^59*q^712+ 16724*p^57*q^714+116*p^55*q^716+236*p^72*q^698+25476*p^70*q^700+351956*p^68*q^ 702+4963802*p^66*q^704+21602284*p^64*q^706+10160706*p^62*q^708+1140354*p^60*q^ 710+78493*p^58*q^712+2908*p^56*q^714+8*p^54*q^716+2552*p^71*q^698+69276*p^69*q^ 700+1260033*p^67*q^702+12900488*p^65*q^704+20191009*p^63*q^706+4142864*p^61*q^ 708+321854*p^59*q^710+21830*p^57*q^712+44*p^55*q^714+308*p^72*q^696+24822*p^70* q^698+279432*p^68*q^700+4311764*p^66*q^702+21978102*p^64*q^704+11771004*p^62*q^ 706+1387534*p^60*q^708+91750*p^58*q^710+4118*p^56*q^712+8*p^54*q^714+2486*p^71* q^696+66924*p^69*q^698+1126860*p^67*q^700+11763325*p^65*q^702+21719292*p^63*q^ 704+4928556*p^61*q^706+403322*p^59*q^708+26500*p^57*q^710+360*p^55*q^712+64*p^ 72*q^694+15544*p^70*q^696+229702*p^68*q^698+3669362*p^66*q^700+21458246*p^64*q^ 702+13532873*p^62*q^704+1737258*p^60*q^706+114850*p^58*q^708+7030*p^56*q^710+ 1588*p^71*q^694+63992*p^69*q^696+926744*p^67*q^698+10666144*p^65*q^700+23256955 *p^63*q^702+5979934*p^61*q^704+509495*p^59*q^706+31664*p^57*q^708+836*p^55*q^ 710+16*p^72*q^692+12954*p^70*q^694+195179*p^68*q^696+3148052*p^66*q^698+ 20956774*p^64*q^700+15575884*p^62*q^702+2117321*p^60*q^704+142208*p^58*q^706+ 9477*p^56*q^708+16*p^54*q^710+1136*p^71*q^692+52888*p^69*q^694+785018*p^67*q^ 696+9616050*p^65*q^698+24612174*p^63*q^700+7079564*p^61*q^702+639134*p^59*q^704 +39802*p^57*q^706+1204*p^55*q^708+8*p^72*q^690+8366*p^70*q^692+181350*p^68*q^ 694+2776862*p^66*q^696+19835476*p^64*q^698+17357097*p^62*q^700+2541128*p^60*q^ 702+170296*p^58*q^704+10020*p^56*q^706+148*p^54*q^708+392*p^71*q^690+45168*p^69 *q^692+625784*p^67*q^694+8383882*p^65*q^696+25794566*p^63*q^698+8517926*p^61*q^ 700+846680*p^59*q^702+55164*p^57*q^704+3220*p^55*q^706+6796*p^70*q^690+145670*p ^68*q^692+2357416*p^66*q^694+19216379*p^64*q^696+19618484*p^62*q^698+3115193*p^ 60*q^700+207838*p^58*q^702+11452*p^56*q^704+52*p^54*q^706+228*p^71*q^688+37196* p^69*q^690+564470*p^67*q^692+7458274*p^65*q^694+26374880*p^63*q^696+9859993*p^ 61*q^698+994538*p^59*q^700+58476*p^57*q^702+3256*p^55*q^704+12*p^53*q^706+28*p^ 72*q^686+4280*p^70*q^688+136096*p^68*q^690+1990753*p^66*q^692+17805184*p^64*q^ 694+21675904*p^62*q^696+3818076*p^60*q^698+289597*p^58*q^700+20134*p^56*q^702+ 650*p^54*q^704+28*p^71*q^686+26748*p^69*q^688+451204*p^67*q^690+6461258*p^65*q^ 692+26708645*p^63*q^694+11712420*p^61*q^696+1228521*p^59*q^698+70630*p^57*q^700 +3223*p^55*q^702+4*p^72*q^684+2484*p^70*q^686+114614*p^68*q^688+1704594*p^66*q^ 690+16638293*p^64*q^692+24082534*p^62*q^694+4579960*p^60*q^696+365688*p^58*q^ 698+21124*p^56*q^700+908*p^54*q^702+268*p^71*q^684+23480*p^69*q^686+407946*p^67 *q^688+5691728*p^65*q^690+26941724*p^63*q^692+13324673*p^61*q^694+1511266*p^59* q^696+83174*p^57*q^698+5716*p^55*q^700+50*p^53*q^702+920*p^70*q^684+90446*p^68* q^686+1432734*p^66*q^688+15002550*p^64*q^690+25848938*p^62*q^692+5617404*p^60*q ^694+455394*p^58*q^696+27548*p^56*q^698+1140*p^54*q^700+120*p^71*q^682+16012*p^ 69*q^684+343450*p^67*q^686+4923060*p^65*q^688+26656142*p^63*q^690+15542506*p^61 *q^692+1854988*p^59*q^694+115216*p^57*q^696+6528*p^55*q^698+168*p^53*q^700+1256 *p^70*q^682+82186*p^68*q^684+1206304*p^66*q^686+13733088*p^64*q^688+27765110*p^ 62*q^690+6675095*p^60*q^692+562392*p^58*q^694+29214*p^56*q^696+1570*p^54*q^698+ 8*p^71*q^680+9300*p^69*q^682+272622*p^67*q^684+4236235*p^65*q^686+26235212*p^63 *q^688+17805120*p^61*q^690+2274308*p^59*q^692+149390*p^57*q^694+9014*p^55*q^696 +244*p^53*q^698+1344*p^70*q^680+70562*p^68*q^682+1092646*p^66*q^684+12311528*p^ 64*q^686+29266887*p^62*q^688+7768420*p^60*q^690+685060*p^58*q^692+30580*p^56*q^ 694+1674*p^54*q^696+16*p^52*q^698+6138*p^69*q^680+241372*p^67*q^682+3537196*p^ 65*q^684+24919949*p^63*q^686+20267344*p^61*q^688+2882047*p^59*q^690+203002*p^57 *q^692+14108*p^55*q^694+616*p^53*q^696+324*p^70*q^678+49120*p^68*q^680+866474*p ^66*q^682+11104864*p^64*q^684+31200000*p^62*q^686+9369073*p^60*q^688+841928*p^ 58*q^690+40050*p^56*q^692+1612*p^54*q^694+16*p^52*q^696+7548*p^69*q^678+221418* p^67*q^680+3151494*p^65*q^682+23961964*p^63*q^684+22428102*p^61*q^686+3340872*p ^59*q^688+233132*p^57*q^690+10556*p^55*q^692+444*p^53*q^694+112*p^70*q^676+ 33198*p^68*q^678+723882*p^66*q^680+9594608*p^64*q^682+31765763*p^62*q^684+ 11103688*p^60*q^686+1093702*p^58*q^688+62748*p^56*q^690+5084*p^54*q^692+178*p^ 52*q^694+2*p^71*q^674+3696*p^69*q^676+182858*p^67*q^678+2690840*p^65*q^680+ 22466157*p^63*q^682+25304726*p^61*q^684+4124777*p^59*q^686+295778*p^57*q^688+ 10262*p^55*q^690+84*p^53*q^692+12*p^70*q^674+30808*p^68*q^676+629488*p^66*q^678 +8472895*p^64*q^680+32610776*p^62*q^682+12868051*p^60*q^684+1308628*p^58*q^686+ 77968*p^56*q^688+5112*p^54*q^690+152*p^52*q^692+32*p^71*q^672+2056*p^69*q^674+ 141008*p^67*q^676+2270680*p^65*q^678+21203046*p^63*q^680+27673957*p^61*q^682+ 4963836*p^59*q^684+379276*p^57*q^686+14610*p^55*q^688+968*p^53*q^690+20*p^51*q^ 692+18*p^70*q^672+22442*p^68*q^674+553313*p^66*q^676+7413690*p^64*q^678+ 32658321*p^62*q^680+14991454*p^60*q^682+1602157*p^58*q^684+92496*p^56*q^686+ 4590*p^54*q^688+14*p^71*q^670+644*p^69*q^672+114808*p^67*q^674+1885710*p^65*q^ 676+19127334*p^63*q^678+30326070*p^61*q^680+5984867*p^59*q^682+480486*p^57*q^ 684+22480*p^55*q^686+1740*p^53*q^688+56*p^51*q^690+296*p^70*q^670+16084*p^68*q^ 672+466328*p^66*q^674+6502953*p^64*q^676+32821644*p^62*q^678+17419804*p^60*q^ 680+1976228*p^58*q^682+122956*p^56*q^684+3492*p^54*q^686+68*p^52*q^688+312*p^69 *q^670+93098*p^67*q^672+1641894*p^65*q^674+17604136*p^63*q^676+32559340*p^61*q^ 678+7084142*p^59*q^680+575935*p^57*q^682+27652*p^55*q^684+2144*p^53*q^686+199*p ^70*q^668+8950*p^68*q^670+391442*p^66*q^672+5532432*p^64*q^674+32086866*p^62*q^ 676+19825036*p^60*q^678+2404642*p^58*q^680+157660*p^56*q^682+4386*p^54*q^684+ 340*p^52*q^686+12*p^50*q^688+4*p^71*q^666+1132*p^69*q^668+74832*p^67*q^670+ 1386632*p^65*q^672+15702076*p^63*q^674+34552296*p^61*q^676+8570863*p^59*q^678+ 730124*p^57*q^680+36884*p^55*q^682+2000*p^53*q^684+16*p^70*q^666+3818*p^68*q^ 668+317510*p^66*q^670+4786275*p^64*q^672+31205048*p^62*q^674+22824036*p^60*q^ 676+2936646*p^58*q^678+200464*p^56*q^680+6866*p^54*q^682+488*p^52*q^684+1441*p^ 69*q^666+58560*p^67*q^668+1214072*p^65*q^670+14339248*p^63*q^672+36496593*p^61* q^674+9987948*p^59*q^676+866392*p^57*q^678+43140*p^55*q^680+748*p^53*q^682+32*p ^51*q^684+p^49*q^686+78*p^70*q^664+4212*p^68*q^666+266152*p^66*q^668+4091372*p^ 64*q^670+29586286*p^62*q^672+25427194*p^60*q^674+3551638*p^58*q^676+261176*p^56 *q^678+10818*p^54*q^680+1180*p^52*q^682+456*p^69*q^664+31606*p^67*q^666+983964* p^65*q^668+12440982*p^63*q^670+38167096*p^61*q^672+12036194*p^59*q^674+1110172* p^57*q^676+60738*p^55*q^678+984*p^53*q^680+32*p^51*q^682+8*p^70*q^662+5738*p^68 *q^664+232368*p^66*q^666+3546220*p^64*q^668+28267026*p^62*q^670+28482510*p^60*q ^672+4228500*p^58*q^674+297638*p^56*q^676+11358*p^54*q^678+358*p^52*q^680+606*p ^69*q^662+24676*p^67*q^664+850428*p^65*q^666+11050050*p^63*q^668+38874866*p^61* q^670+13987930*p^59*q^672+1345884*p^57*q^674+87832*p^55*q^676+2512*p^53*q^678+ 356*p^51*q^680+3844*p^68*q^662+169378*p^66*q^664+3019990*p^64*q^666+26519457*p^ 62*q^668+31553010*p^60*q^670+5199321*p^58*q^672+372690*p^56*q^674+14178*p^54*q^ 676+56*p^52*q^678+236*p^69*q^660+19833*p^67*q^662+725048*p^65*q^664+9611252*p^ 63*q^666+39271872*p^61*q^668+16372178*p^59*q^670+1612012*p^57*q^672+105333*p^55 *q^674+3220*p^53*q^676+260*p^51*q^678+3296*p^68*q^660+125450*p^66*q^662+2535036 *p^64*q^664+24232024*p^62*q^666+34822011*p^60*q^668+6250318*p^58*q^670+488046*p ^56*q^672+23480*p^54*q^674+350*p^52*q^676+40*p^50*q^678+22*p^69*q^658+17892*p^ 67*q^660+614004*p^65*q^662+8550644*p^63*q^664+39673803*p^61*q^666+18790020*p^59 *q^668+1973382*p^57*q^670+117998*p^55*q^672+3192*p^53*q^674+20*p^70*q^656+2556* p^68*q^658+93988*p^66*q^660+2188690*p^64*q^662+22275012*p^62*q^664+37120226*p^ 60*q^666+7506076*p^58*q^668+577634*p^56*q^670+33376*p^54*q^672+680*p^52*q^674+ 112*p^50*q^676+28*p^69*q^656+15162*p^67*q^658+492848*p^65*q^660+7231270*p^63*q^ 662+39023106*p^61*q^664+21941232*p^59*q^666+2439942*p^57*q^668+163774*p^55*q^ 670+4986*p^53*q^672+20*p^51*q^674+618*p^68*q^656+70306*p^66*q^658+1825763*p^64* q^660+20199334*p^62*q^662+40215982*p^60*q^664+8923142*p^58*q^666+695550*p^56*q^ 668+39800*p^54*q^670+832*p^52*q^672+188*p^69*q^654+14468*p^67*q^656+405073*p^65 *q^658+6439390*p^63*q^660+38123300*p^61*q^662+24773428*p^59*q^664+2910171*p^57* q^666+192920*p^55*q^668+7206*p^53*q^670+84*p^51*q^672+24*p^49*q^674+548*p^68*q^ 654+60406*p^66*q^656+1591760*p^64*q^658+17987574*p^62*q^660+42257230*p^60*q^662 +10628191*p^58*q^664+873498*p^56*q^666+52178*p^54*q^668+1192*p^52*q^670+32*p^69 *q^652+7132*p^67*q^654+294488*p^65*q^656+5270293*p^63*q^658+36870834*p^61*q^660 +28364142*p^59*q^662+3660246*p^57*q^664+241231*p^55*q^666+11380*p^53*q^668+128* p^51*q^670+4*p^70*q^650+717*p^68*q^652+57244*p^66*q^654+1349959*p^64*q^656+ 16420392*p^62*q^658+44280489*p^60*q^660+12540790*p^58*q^662+1026215*p^56*q^664+ 59000*p^54*q^666+1168*p^52*q^668+4*p^50*q^670+2*p^48*q^672+5152*p^67*q^652+ 235030*p^65*q^654+4625964*p^63*q^656+34441530*p^61*q^658+31537760*p^59*q^660+ 4380346*p^57*q^662+298422*p^55*q^664+16678*p^53*q^666+364*p^51*q^668+8*p^70*q^ 648+580*p^68*q^650+42157*p^66*q^652+1108740*p^64*q^654+14384894*p^62*q^656+ 46093554*p^60*q^658+14787109*p^58*q^660+1307898*p^56*q^662+76810*p^54*q^664+ 1760*p^52*q^666+6*p^50*q^668+36*p^69*q^648+2871*p^67*q^650+200944*p^65*q^652+ 3989499*p^63*q^654+32822760*p^61*q^656+34865503*p^59*q^658+5286556*p^57*q^660+ 348576*p^55*q^662+18826*p^53*q^664+248*p^51*q^666+4*p^70*q^646+84*p^68*q^648+ 31476*p^66*q^650+871393*p^64*q^652+12393666*p^62*q^654+46974971*p^60*q^656+ 17488228*p^58*q^658+1626067*p^56*q^660+102756*p^54*q^662+4352*p^52*q^664+68*p^ 50*q^666+80*p^69*q^646+3408*p^67*q^648+167445*p^65*q^650+3426922*p^63*q^652+ 30834916*p^61*q^654+38634442*p^59*q^656+6230371*p^57*q^658+418612*p^55*q^660+ 19810*p^53*q^662+92*p^51*q^664+184*p^68*q^646+21001*p^66*q^648+729944*p^64*q^ 650+10960518*p^62*q^652+46578588*p^60*q^654+20084337*p^58*q^656+2001120*p^56*q^ 658+117314*p^54*q^660+5782*p^52*q^662+82*p^50*q^664+68*p^69*q^644+1660*p^67*q^ 646+138718*p^65*q^648+2836841*p^63*q^650+28046286*p^61*q^652+42453520*p^59*q^ 654+7722020*p^57*q^656+543431*p^55*q^658+33044*p^53*q^660+688*p^51*q^662+4*p^49 *q^664+340*p^68*q^644+14020*p^66*q^646+581503*p^64*q^648+9505560*p^62*q^650+ 47029739*p^60*q^652+23205696*p^58*q^654+2367278*p^56*q^656+134794*p^54*q^658+ 5434*p^52*q^660+12*p^69*q^642+1184*p^67*q^644+112810*p^65*q^646+2449992*p^63*q^ 648+25645781*p^61*q^650+45287130*p^59*q^652+9122482*p^57*q^654+680196*p^55*q^ 656+36848*p^53*q^658+1182*p^51*q^660+20*p^49*q^662+536*p^68*q^642+12604*p^66*q^ 644+491378*p^64*q^646+8254947*p^62*q^648+45690964*p^60*q^650+26516912*p^58*q^ 652+2916896*p^56*q^654+165327*p^54*q^656+8942*p^52*q^658+44*p^50*q^660+974*p^67 *q^642+70826*p^65*q^644+1984930*p^63*q^646+23008034*p^61*q^648+48544799*p^59*q^ 650+11022076*p^57*q^652+856182*p^55*q^654+48018*p^53*q^656+1644*p^51*q^658+208* p^68*q^640+7802*p^66*q^642+424213*p^64*q^644+7087150*p^62*q^646+45078154*p^60*q ^648+30342262*p^58*q^650+3504920*p^56*q^652+202376*p^54*q^654+9616*p^52*q^656+ 144*p^50*q^658+2*p^48*q^660+16*p^69*q^638+2056*p^67*q^640+64074*p^65*q^642+ 1631612*p^63*q^644+20753377*p^61*q^646+50535850*p^59*q^648+12848867*p^57*q^650+ 1018236*p^55*q^652+54032*p^53*q^654+2380*p^51*q^656+36*p^68*q^638+4892*p^66*q^ 640+322064*p^64*q^642+6108709*p^62*q^644+42389864*p^60*q^646+34418687*p^58*q^ 648+4339544*p^56*q^650+277817*p^54*q^652+14240*p^52*q^654+256*p^50*q^656+1780*p ^67*q^638+44144*p^65*q^640+1410160*p^63*q^642+18289802*p^61*q^644+53214032*p^59 *q^646+15142352*p^57*q^648+1236080*p^55*q^650+54792*p^53*q^652+2366*p^51*q^654+ 8*p^49*q^656+172*p^68*q^636+4922*p^66*q^638+265702*p^64*q^640+5098104*p^62*q^ 642+40680995*p^60*q^644+38201516*p^58*q^646+5316772*p^56*q^648+343438*p^54*q^ 650+21288*p^52*q^652+724*p^50*q^654+640*p^67*q^636+30674*p^65*q^638+1141940*p^ 63*q^640+16227494*p^61*q^642+54520934*p^59*q^644+17908798*p^57*q^646+1489362*p^ 55*q^648+74273*p^53*q^650+2328*p^51*q^652+12*p^49*q^654+28*p^68*q^634+7956*p^66 *q^636+214912*p^64*q^638+4438462*p^62*q^640+37755784*p^60*q^642+42130137*p^58*q ^644+6280986*p^56*q^646+411766*p^54*q^648+17910*p^52*q^650+630*p^50*q^652+844*p ^67*q^634+19162*p^65*q^636+935911*p^63*q^638+14049542*p^61*q^640+54902274*p^59* q^642+21072058*p^57*q^644+1929098*p^55*q^646+107090*p^53*q^648+6807*p^51*q^650+ 136*p^49*q^652+4596*p^66*q^634+155021*p^64*q^636+3685796*p^62*q^638+35336144*p^ 60*q^640+46823024*p^58*q^642+7545719*p^56*q^644+485688*p^54*q^646+18059*p^52*q^ 648+120*p^50*q^650+520*p^67*q^632+23528*p^65*q^634+807558*p^63*q^636+12391109*p ^61*q^638+55461238*p^59*q^640+23896456*p^57*q^642+2298260*p^55*q^644+129558*p^ 53*q^646+7158*p^51*q^648+178*p^49*q^650+4026*p^66*q^632+111448*p^64*q^634+ 3047096*p^62*q^636+31919002*p^60*q^638+50137393*p^58*q^640+9197372*p^56*q^642+ 628002*p^54*q^644+27146*p^52*q^646+1256*p^50*q^648+8*p^48*q^650+96*p^67*q^630+ 19992*p^65*q^632+644008*p^63*q^634+10685252*p^61*q^636+54855684*p^59*q^638+ 28052754*p^57*q^640+2810395*p^55*q^642+151052*p^53*q^644+6672*p^51*q^646+3406*p ^66*q^630+84513*p^64*q^632+2574976*p^62*q^634+29170981*p^60*q^636+54272420*p^58 *q^638+10828550*p^56*q^640+763220*p^54*q^642+35296*p^52*q^644+2092*p^50*q^646+ 40*p^48*q^648+2*p^69*q^626+52*p^67*q^628+17798*p^65*q^630+519890*p^63*q^632+ 9277969*p^61*q^634+53696580*p^59*q^636+31866600*p^57*q^638+3438326*p^55*q^640+ 191015*p^53*q^642+6390*p^51*q^644+88*p^49*q^646+1532*p^66*q^628+72604*p^64*q^ 630+2165745*p^62*q^632+25957616*p^60*q^634+57112224*p^58*q^636+12883406*p^56*q^ 638+951968*p^54*q^640+46168*p^52*q^642+2776*p^50*q^644+8*p^69*q^624+4*p^67*q^ 626+15280*p^65*q^628+383939*p^63*q^630+7795318*p^61*q^632+51627221*p^59*q^634+ 36325114*p^57*q^636+4219676*p^55*q^638+237598*p^53*q^640+6897*p^51*q^642+384*p^ 49*q^644+4*p^47*q^646+18*p^68*q^624+916*p^66*q^626+63170*p^64*q^628+1850742*p^ 62*q^630+23546446*p^60*q^632+60083932*p^58*q^634+15254922*p^56*q^636+1167554*p^ 54*q^638+54970*p^52*q^640+2666*p^50*q^642+4*p^67*q^624+10264*p^65*q^626+298404* p^63*q^628+6571966*p^61*q^630+49385702*p^59*q^632+40725352*p^57*q^634+5038218*p ^55*q^636+293500*p^53*q^638+11920*p^51*q^640+586*p^49*q^642+90*p^68*q^622+180*p ^66*q^624+59560*p^64*q^626+1515414*p^62*q^628+20909396*p^60*q^630+62317906*p^58 *q^632+17910478*p^56*q^634+1444716*p^54*q^636+66902*p^52*q^638+1204*p^50*q^640+ 36*p^48*q^642+56*p^67*q^622+7768*p^65*q^624+233618*p^63*q^626+5615460*p^61*q^ 628+45774099*p^59*q^630+45477932*p^57*q^632+6143962*p^55*q^634+380904*p^53*q^ 636+15816*p^51*q^638+1384*p^49*q^640+6*p^68*q^620+140*p^66*q^622+44270*p^64*q^ 624+1192230*p^62*q^626+18111673*p^60*q^628+64363054*p^58*q^630+21245111*p^56*q^ 632+1767680*p^54*q^634+81984*p^52*q^636+1740*p^50*q^638+36*p^48*q^640+416*p^67* q^620+3290*p^65*q^622+211720*p^63*q^624+4881055*p^61*q^626+43679514*p^59*q^628+ 49658109*p^57*q^630+7208676*p^55*q^632+443570*p^53*q^634+17370*p^51*q^636+446*p ^49*q^638+16*p^68*q^618+150*p^66*q^620+39630*p^64*q^622+949608*p^62*q^624+ 15651724*p^60*q^626+63879162*p^58*q^628+24812382*p^56*q^630+2231001*p^54*q^632+ 117876*p^52*q^634+4078*p^50*q^636+400*p^48*q^638+192*p^67*q^618+1500*p^65*q^620 +163928*p^63*q^622+4031920*p^61*q^624+39869126*p^59*q^626+55068300*p^57*q^628+ 8774893*p^55*q^630+554490*p^53*q^632+20370*p^51*q^634+76*p^49*q^636+964*p^66*q^ 618+25884*p^64*q^620+784416*p^62*q^622+13783722*p^60*q^624+64203686*p^58*q^626+ 28430365*p^56*q^628+2637402*p^54*q^630+135600*p^52*q^632+4184*p^50*q^634+272*p^ 48*q^636+172*p^67*q^616+1498*p^65*q^618+149938*p^63*q^620+3360594*p^61*q^622+ 36551014*p^59*q^624+59303275*p^57*q^626+10553874*p^55*q^628+719857*p^53*q^630+ 30640*p^51*q^632+692*p^49*q^634+44*p^47*q^636+1290*p^66*q^616+13308*p^64*q^618+ 608922*p^62*q^620+11805518*p^60*q^622+63232952*p^58*q^624+32655184*p^56*q^626+ 3177738*p^54*q^628+162058*p^52*q^630+5102*p^50*q^632+30*p^67*q^614+1444*p^65*q^ 616+121194*p^63*q^618+2794470*p^61*q^620+32798220*p^59*q^622+63423682*p^57*q^ 624+12716661*p^55*q^626+897910*p^53*q^628+40020*p^51*q^630+780*p^49*q^632+113*p ^47*q^634+928*p^66*q^614+11702*p^64*q^616+520114*p^62*q^618+10044024*p^60*q^620 +61567310*p^58*q^622+37484804*p^56*q^624+3847082*p^54*q^626+202762*p^52*q^628+ 6632*p^50*q^630+48*p^48*q^632+3706*p^65*q^614+80704*p^63*q^616+2275389*p^61*q^ 618+29759788*p^59*q^620+66962031*p^57*q^622+14974224*p^55*q^624+1069481*p^53*q^ 626+48030*p^51*q^628+1300*p^49*q^630+656*p^66*q^612+6674*p^64*q^614+454776*p^62 *q^616+8707694*p^60*q^618+58978400*p^58*q^620+42227360*p^56*q^622+4691482*p^54* q^624+265006*p^52*q^626+8936*p^50*q^628+104*p^48*q^630+24*p^46*q^632+4*p^67*q^ 610+3472*p^65*q^612+63244*p^63*q^614+1827572*p^61*q^616+25873571*p^59*q^618+ 70081470*p^57*q^620+17870062*p^55*q^622+1335252*p^53*q^624+59424*p^51*q^626+ 1504*p^49*q^628+44*p^66*q^610+7070*p^64*q^612+336794*p^62*q^614+7379523*p^60*q^ 616+56399580*p^58*q^618+47771086*p^56*q^620+5745646*p^54*q^622+324194*p^52*q^ 624+12264*p^50*q^626+196*p^48*q^628+4126*p^65*q^610+48374*p^63*q^612+1596422*p^ 61*q^614+23155830*p^59*q^616+71818817*p^57*q^618+20657304*p^55*q^620+1565016*p^ 53*q^622+66520*p^51*q^624+1464*p^49*q^626+8*p^47*q^628+2*p^45*q^630+88*p^66*q^ 608+8836*p^64*q^610+277694*p^62*q^612+6086368*p^60*q^614+52804101*p^58*q^616+ 52905616*p^56*q^618+7051787*p^54*q^620+439672*p^52*q^622+19672*p^50*q^624+420*p ^48*q^626+1412*p^65*q^608+28296*p^63*q^610+1237044*p^61*q^612+20183805*p^59*q^ 614+73510698*p^57*q^616+24467637*p^55*q^618+1928302*p^53*q^620+82314*p^51*q^622 +1806*p^49*q^624+8*p^47*q^626+8*p^66*q^606+12884*p^64*q^608+225748*p^62*q^610+ 5221597*p^60*q^612+48922928*p^58*q^614+58421140*p^56*q^616+8279068*p^54*q^618+ 504640*p^52*q^620+18882*p^50*q^622+224*p^48*q^624+878*p^65*q^606+24332*p^63*q^ 608+1041988*p^61*q^610+17559840*p^59*q^612+74184226*p^57*q^614+28377860*p^55*q^ 616+2432625*p^53*q^618+121518*p^51*q^620+5136*p^49*q^622+88*p^47*q^624+10112*p^ 64*q^606+165542*p^62*q^608+4328048*p^60*q^610+45000488*p^58*q^612+63381058*p^56 *q^614+10023880*p^54*q^616+606986*p^52*q^618+18182*p^50*q^620+84*p^48*q^622+330 *p^65*q^604+27852*p^63*q^606+834404*p^61*q^608+15113513*p^59*q^610+73440208*p^ 57*q^612+33102193*p^55*q^614+2949022*p^53*q^616+155110*p^51*q^618+6256*p^49*q^ 620+28*p^47*q^622+4*p^68*q^600+5938*p^64*q^604+119500*p^62*q^606+3560074*p^60*q ^608+40835026*p^58*q^610+68667779*p^56*q^612+12025132*p^54*q^614+772341*p^52*q^ 616+26012*p^50*q^618+724*p^48*q^620+8*p^46*q^622+44*p^65*q^602+32924*p^63*q^604 +697836*p^61*q^606+13162086*p^59*q^608+72074221*p^57*q^610+37695062*p^55*q^612+ 3518146*p^53*q^614+178944*p^51*q^616+5392*p^49*q^618+4*p^66*q^600+4288*p^64*q^ 602+86900*p^62*q^604+2950678*p^60*q^606+36789786*p^58*q^608+72728164*p^56*q^610 +14294215*p^54*q^612+963244*p^52*q^614+39530*p^50*q^616+1512*p^48*q^618+2*p^46* q^620+40*p^67*q^598+48*p^65*q^600+26594*p^63*q^602+560866*p^61*q^604+11087532*p ^59*q^606+70221606*p^57*q^608+43189644*p^55*q^610+4398996*p^53*q^612+233931*p^ 51*q^614+5380*p^49*q^616+36*p^47*q^618+1014*p^64*q^600+83246*p^62*q^602+2384103 *p^60*q^604+32892998*p^58*q^606+77220617*p^56*q^608+17000724*p^54*q^610+1142801 *p^52*q^612+47848*p^50*q^614+1748*p^48*q^616+12*p^67*q^596+52*p^65*q^598+24180* p^63*q^600+415273*p^61*q^602+9522190*p^59*q^604+66951299*p^57*q^606+48661968*p^ 55*q^608+5197687*p^53*q^610+283514*p^51*q^612+7040*p^49*q^614+208*p^47*q^616+ 144*p^66*q^596+856*p^64*q^598+80976*p^62*q^600+2066170*p^60*q^602+29121492*p^58 *q^604+79789658*p^56*q^606+20152756*p^54*q^608+1437168*p^52*q^610+66141*p^50*q^ 612+1900*p^48*q^614+8*p^65*q^596+11318*p^63*q^598+306324*p^61*q^600+7764236*p^ 59*q^602+63328454*p^57*q^604+54928225*p^55*q^606+6450250*p^53*q^608+362731*p^51 *q^610+10208*p^49*q^612+284*p^47*q^614+188*p^66*q^594+398*p^64*q^596+81002*p^62 *q^598+1682037*p^60*q^600+25844806*p^58*q^602+82674254*p^56*q^604+23570936*p^54 *q^606+1695660*p^52*q^608+72300*p^50*q^610+1096*p^48*q^612+12*p^46*q^614+224*p^ 65*q^594+8060*p^63*q^596+265488*p^61*q^598+6660242*p^59*q^600+59068527*p^57*q^ 602+60330454*p^55*q^604+7727046*p^53*q^606+449700*p^51*q^608+17112*p^49*q^610+ 728*p^47*q^612+12*p^66*q^592+306*p^64*q^594+60878*p^62*q^596+1306558*p^60*q^598 +22405527*p^58*q^600+83646246*p^56*q^602+27886900*p^54*q^604+2152074*p^52*q^606 +100362*p^50*q^608+1292*p^48*q^610+14*p^46*q^612+884*p^65*q^592+4094*p^63*q^594 +229794*p^61*q^596+5609598*p^59*q^598+54915928*p^57*q^600+66543076*p^55*q^602+ 9194980*p^53*q^604+521628*p^51*q^606+17010*p^49*q^608+360*p^47*q^610+4*p^66*q^ 590+190*p^64*q^592+44974*p^62*q^594+1033780*p^60*q^596+19211672*p^58*q^598+ 84196189*p^56*q^600+32466676*p^54*q^602+2668366*p^52*q^604+139626*p^50*q^606+ 3544*p^48*q^608+140*p^46*q^610+376*p^65*q^590+2788*p^63*q^592+206328*p^61*q^594 +4666946*p^59*q^596+50617727*p^57*q^598+72440306*p^55*q^600+11053176*p^53*q^602 +632004*p^51*q^604+20450*p^49*q^606+56*p^47*q^608+1724*p^64*q^590+32360*p^62*q^ 592+852910*p^60*q^594+16667789*p^58*q^596+82585814*p^56*q^598+37146363*p^54*q^ 600+3167746*p^52*q^602+162369*p^50*q^604+4200*p^48*q^606+156*p^46*q^608+116*p^ 65*q^588+1284*p^63*q^590+171136*p^61*q^592+3791922*p^59*q^594+45460460*p^57*q^ 596+78185329*p^55*q^598+13569976*p^53*q^600+845228*p^51*q^602+36090*p^49*q^604+ 436*p^47*q^606+8*p^45*q^608+2324*p^64*q^588+17900*p^62*q^590+676792*p^60*q^592+ 14210812*p^58*q^594+81982448*p^56*q^596+42827036*p^54*q^598+3798269*p^52*q^600+ 177620*p^50*q^602+2956*p^48*q^604+16*p^65*q^586+2244*p^63*q^588+150864*p^61*q^ 590+3190096*p^59*q^592+41096138*p^57*q^594+82667036*p^55*q^596+15913028*p^53*q^ 598+1008666*p^51*q^600+46292*p^49*q^602+924*p^47*q^604+40*p^45*q^606+1166*p^64* q^586+13400*p^62*q^588+573286*p^60*q^590+12026128*p^58*q^592+78028416*p^56*q^ 594+48825570*p^54*q^596+4741934*p^52*q^598+243474*p^50*q^600+6832*p^48*q^602+20 *p^46*q^604+5248*p^63*q^586+95672*p^61*q^588+2536674*p^59*q^590+36536016*p^57*q ^592+87394765*p^55*q^594+19070676*p^53*q^596+1235264*p^51*q^598+55396*p^49*q^ 600+418*p^47*q^602+540*p^64*q^584+8234*p^62*q^586+504848*p^60*q^588+10252736*p^ 58*q^590+75439142*p^56*q^592+54796858*p^54*q^594+5705812*p^52*q^596+290540*p^50 *q^598+9336*p^48*q^600+128*p^46*q^602+4*p^44*q^604+4*p^65*q^582+5684*p^63*q^584 +80784*p^61*q^586+2063082*p^59*q^588+32150106*p^57*q^590+90376842*p^55*q^592+ 22431620*p^53*q^594+1486258*p^51*q^596+68000*p^49*q^598+878*p^47*q^600+36*p^64* q^582+8916*p^62*q^584+397454*p^60*q^586+8620255*p^58*q^588+70979190*p^56*q^590+ 61704090*p^54*q^592+7000320*p^52*q^594+374337*p^50*q^596+15272*p^48*q^598+56*p^ 46*q^600+4228*p^63*q^582+52288*p^61*q^584+1726384*p^59*q^586+28133244*p^57*q^ 588+92603588*p^55*q^590+26399344*p^53*q^592+1811336*p^51*q^594+77074*p^49*q^596 +1372*p^47*q^598+8*p^45*q^600+100*p^64*q^580+12908*p^62*q^582+327452*p^60*q^584 +7107024*p^58*q^586+66138774*p^56*q^588+68726350*p^54*q^590+8462516*p^52*q^592+ 462584*p^50*q^594+19606*p^48*q^596+92*p^46*q^598+1368*p^63*q^580+37530*p^61*q^ 582+1407330*p^59*q^584+24606337*p^57*q^586+94432436*p^55*q^588+30748800*p^53*q^ 590+2254280*p^51*q^592+98343*p^49*q^594+2358*p^47*q^596+4*p^45*q^598+16*p^64*q^ 578+15736*p^62*q^580+259374*p^60*q^582+5987287*p^58*q^584+60846704*p^56*q^586+ 74356289*p^54*q^588+10173952*p^52*q^590+535467*p^50*q^592+21162*p^48*q^594+180* p^46*q^596+2*p^67*q^574+928*p^63*q^578+30456*p^61*q^580+1152054*p^59*q^582+ 21010500*p^57*q^584+93828826*p^55*q^586+36341468*p^53*q^588+2825715*p^51*q^590+ 141560*p^49*q^592+5018*p^47*q^594+8*p^45*q^596+10440*p^62*q^578+187458*p^60*q^ 580+4919566*p^58*q^582+56253862*p^56*q^584+81514392*p^54*q^586+12115882*p^52*q^ 588+652106*p^50*q^590+22527*p^48*q^592+108*p^46*q^594+480*p^63*q^576+36446*p^61 *q^578+964384*p^59*q^580+18297949*p^57*q^582+93110548*p^55*q^584+41240672*p^53* q^586+3386760*p^51*q^588+157632*p^49*q^590+5484*p^47*q^592+12*p^45*q^594+25*p^ 66*q^572+4*p^64*q^574+6216*p^62*q^576+145630*p^60*q^578+4052061*p^58*q^580+ 50007006*p^56*q^582+87532252*p^54*q^584+14727026*p^52*q^586+851285*p^50*q^588+ 38492*p^48*q^590+864*p^46*q^592+44*p^63*q^574+35912*p^61*q^576+765698*p^59*q^ 578+15315400*p^57*q^580+90957494*p^55*q^582+47809240*p^53*q^584+4142368*p^51*q^ 586+183004*p^49*q^588+5376*p^47*q^590+4*p^64*q^572+4580*p^62*q^574+111630*p^60* q^576+3350708*p^58*q^578+45470228*p^56*q^580+92606514*p^54*q^582+17480221*p^52* q^584+1030572*p^50*q^586+44107*p^48*q^588+976*p^46*q^590+123*p^65*q^570+64*p^63 *q^572+29216*p^61*q^574+638378*p^59*q^576+13124560*p^57*q^578+87321056*p^55*q^ 580+54133346*p^53*q^582+5027696*p^51*q^584+229922*p^49*q^586+8994*p^47*q^588+66 *p^45*q^590+1448*p^62*q^572+100018*p^60*q^574+2701884*p^58*q^576+39970688*p^56* q^578+97468331*p^54*q^580+20847788*p^52*q^582+1294770*p^50*q^584+55822*p^48*q^ 586+1376*p^46*q^588+40*p^65*q^568+112*p^63*q^570+23514*p^61*q^572+479772*p^59*q ^574+11112510*p^57*q^576+83383359*p^55*q^578+61073542*p^53*q^580+6160110*p^51*q ^582+282728*p^49*q^584+10574*p^47*q^586+112*p^45*q^588+303*p^64*q^568+850*p^62* q^570+89678*p^60*q^572+2303830*p^58*q^574+35126942*p^56*q^576+100847744*p^54*q^ 578+24615500*p^52*q^580+1564312*p^50*q^582+63761*p^48*q^584+1852*p^46*q^586+20* p^63*q^568+13226*p^61*q^570+376560*p^59*q^572+9122148*p^57*q^574+79110708*p^55* q^576+68480445*p^53*q^578+7467150*p^51*q^580+365992*p^49*q^582+14852*p^47*q^584 +202*p^45*q^586+368*p^64*q^566+964*p^62*q^568+86392*p^60*q^570+1869599*p^58*q^ 572+31086662*p^56*q^574+102831887*p^54*q^576+28749214*p^52*q^578+1918672*p^50*q ^580+68768*p^48*q^582+2332*p^46*q^584+8*p^44*q^586+416*p^63*q^566+7908*p^61*q^ 568+300040*p^59*q^570+7577602*p^57*q^572+72363829*p^55*q^574+76126442*p^53*q^ 576+9176298*p^51*q^578+474102*p^49*q^580+22168*p^47*q^582+432*p^45*q^584+36*p^ 64*q^564+524*p^62*q^566+63494*p^60*q^568+1487978*p^58*q^570+26794045*p^56*q^572 +105184166*p^54*q^574+33873039*p^52*q^576+2319124*p^50*q^578+86300*p^48*q^580+ 2344*p^46*q^582+8*p^44*q^584+1282*p^63*q^564+6176*p^61*q^566+275514*p^59*q^568+ 6495040*p^57*q^570+67490892*p^55*q^572+82319533*p^53*q^574+10803244*p^51*q^576+ 551228*p^49*q^578+18644*p^47*q^580+440*p^45*q^582+36*p^64*q^562+580*p^62*q^564+ 44496*p^60*q^566+1184202*p^58*q^568+22761674*p^56*q^570+104239083*p^54*q^572+ 39609476*p^52*q^574+2996044*p^50*q^576+130056*p^48*q^578+6777*p^46*q^580+88*p^ 44*q^582+502*p^63*q^562+4496*p^61*q^564+221514*p^59*q^566+5271584*p^57*q^568+ 61318873*p^55*q^570+90507150*p^53*q^572+13157408*p^51*q^574+669094*p^49*q^576+ 17854*p^47*q^578+132*p^45*q^580+2224*p^62*q^562+34196*p^60*q^564+973174*p^58*q^ 566+19711283*p^56*q^568+102645192*p^54*q^570+45417428*p^52*q^572+3559688*p^50*q ^574+154958*p^48*q^576+6682*p^46*q^578+48*p^44*q^580+386*p^63*q^560+3109*p^61*q ^562+183944*p^59*q^564+4341987*p^57*q^566+55508282*p^55*q^568+96298360*p^53*q^ 570+15752602*p^51*q^572+864990*p^49*q^574+27948*p^47*q^576+1231*p^45*q^578+8*p^ 43*q^580+2196*p^62*q^560+24384*p^60*q^562+794303*p^58*q^564+16726082*p^56*q^566 +99946753*p^54*q^568+52067000*p^52*q^570+4352210*p^50*q^572+185176*p^48*q^574+ 5662*p^46*q^576+86*p^63*q^558+3276*p^61*q^560+143940*p^59*q^562+3520014*p^57*q^ 564+49260728*p^55*q^566+102921046*p^53*q^568+18844642*p^51*q^570+1076964*p^49*q ^572+38494*p^47*q^574+1968*p^45*q^576+2*p^43*q^578+1952*p^62*q^558+20087*p^60*q ^560+659802*p^58*q^562+14110196*p^56*q^564+96722962*p^54*q^566+59241749*p^52*q^ 568+5328360*p^50*q^570+230800*p^48*q^572+5560*p^46*q^574+89*p^44*q^576+4710*p^ 61*q^558+108142*p^59*q^560+2919940*p^57*q^562+43751276*p^55*q^564+107085240*p^ 53*q^566+22348320*p^51*q^568+1286634*p^49*q^570+48708*p^47*q^572+2328*p^45*q^ 574+1117*p^62*q^556+13468*p^60*q^558+541528*p^58*q^560+11841444*p^56*q^562+ 91804354*p^54*q^564+67068290*p^52*q^566+6484858*p^50*q^568+297618*p^48*q^570+ 6846*p^46*q^572+370*p^44*q^574+32*p^63*q^554+5578*p^61*q^556+90700*p^59*q^558+ 2369022*p^57*q^560+38276431*p^55*q^562+110666372*p^53*q^564+26536505*p^51*q^566 +1628398*p^49*q^568+60520*p^47*q^570+2188*p^45*q^572+124*p^62*q^554+10404*p^60* q^556+412050*p^58*q^558+9801567*p^56*q^560+86110496*p^54*q^562+75354987*p^52*q^ 564+7932612*p^50*q^566+360874*p^48*q^568+10358*p^46*q^570+500*p^44*q^572+5723*p ^61*q^554+72770*p^59*q^556+2008838*p^57*q^558+33874148*p^55*q^560+113232887*p^ 53*q^562+30793104*p^51*q^564+1952225*p^49*q^566+71340*p^47*q^568+1126*p^45*q^ 570+34*p^43*q^572+404*p^62*q^552+11700*p^60*q^554+344602*p^58*q^556+8161818*p^ 56*q^558+79480276*p^54*q^560+82357358*p^52*q^562+9671157*p^50*q^564+464924*p^48 *q^566+16004*p^46*q^568+1188*p^44*q^570+1950*p^61*q^552+46741*p^59*q^554+ 1535552*p^57*q^556+28876090*p^55*q^558+115728058*p^53*q^560+36809862*p^51*q^562 +2463796*p^49*q^564+95228*p^47*q^566+1204*p^45*q^568+32*p^43*q^570+56*p^62*q^ 550+16112*p^60*q^552+292086*p^58*q^554+6886622*p^56*q^556+73640758*p^54*q^558+ 90431074*p^52*q^560+11324878*p^50*q^562+533324*p^48*q^564+15122*p^46*q^566+418* p^44*q^568+2230*p^61*q^550+38242*p^59*q^552+1278352*p^57*q^554+24717674*p^55*q^ 556+113893839*p^53*q^558+42716928*p^51*q^560+3097569*p^49*q^562+130840*p^47*q^ 564+3592*p^45*q^566+356*p^43*q^568+10*p^62*q^548+10710*p^60*q^550+222444*p^58*q ^552+5613940*p^56*q^554+66944374*p^54*q^556+98192052*p^52*q^558+13781456*p^50*q ^560+670350*p^48*q^562+19842*p^46*q^564+44*p^44*q^566+1012*p^61*q^548+38151*p^ 59*q^550+1038462*p^57*q^552+21158994*p^55*q^554+112263910*p^53*q^556+49090039*p ^51*q^558+3736134*p^49*q^560+145636*p^47*q^562+3380*p^45*q^564+264*p^43*q^566+ 10*p^62*q^546+8736*p^60*q^548+169610*p^58*q^550+4597529*p^56*q^552+60273848*p^ 54*q^554+105755427*p^52*q^556+16755414*p^50*q^558+874518*p^48*q^560+33592*p^46* q^562+466*p^44*q^564+40*p^42*q^566+264*p^61*q^546+35682*p^59*q^548+857342*p^57* q^550+17951210*p^55*q^552+109247589*p^53*q^554+55937978*p^51*q^556+4443552*p^49 *q^558+166204*p^47*q^560+2912*p^45*q^562+44*p^62*q^544+6920*p^60*q^546+135366*p ^58*q^548+3791768*p^56*q^550+53771191*p^54*q^552+111317764*p^52*q^554+20032394* p^50*q^556+1121366*p^48*q^558+40564*p^46*q^560+748*p^44*q^562+112*p^42*q^564+ 276*p^61*q^544+28986*p^59*q^546+680880*p^57*q^548+15063650*p^55*q^550+104861106 *p^53*q^552+64158098*p^51*q^554+5509042*p^49*q^556+219784*p^47*q^558+6686*p^45* q^560+20*p^43*q^562+2510*p^60*q^544+112988*p^58*q^546+3049838*p^56*q^548+ 47438762*p^54*q^550+117456111*p^52*q^552+23724038*p^50*q^554+1340232*p^48*q^556 +44880*p^46*q^558+416*p^44*q^560+458*p^61*q^542+27258*p^59*q^544+559611*p^57*q^ 546+12757084*p^55*q^548+99961423*p^53*q^550+71793458*p^51*q^552+6643288*p^49*q^ 554+282794*p^47*q^556+8960*p^45*q^558+116*p^43*q^560+24*p^41*q^562+4*p^62*q^540 +2586*p^60*q^542+98238*p^58*q^544+2512800*p^56*q^546+41293393*p^54*q^548+ 119689934*p^52*q^550+28234039*p^50*q^552+1667678*p^48*q^554+56506*p^46*q^556+ 884*p^44*q^558+84*p^61*q^540+15048*p^59*q^542+423306*p^57*q^544+10472158*p^55*q ^546+93892474*p^53*q^548+81239002*p^51*q^550+8237976*p^49*q^552+363800*p^47*q^ 554+11908*p^45*q^556+56*p^43*q^558+2424*p^60*q^540+87440*p^58*q^542+2085233*p^ 56*q^544+36289182*p^54*q^546+123589534*p^52*q^548+32827138*p^50*q^550+1978180*p ^48*q^552+59508*p^46*q^554+1472*p^44*q^556+8*p^42*q^558+2*p^40*q^560+60*p^61*q^ 538+13168*p^59*q^540+359354*p^57*q^542+8754266*p^55*q^544+86462746*p^53*q^546+ 89266562*p^51*q^548+10031750*p^49*q^550+475176*p^47*q^552+17078*p^45*q^554+92*p ^43*q^556+1464*p^60*q^538+63599*p^58*q^540+1644046*p^56*q^542+31066766*p^54*q^ 544+123909404*p^52*q^546+38773385*p^50*q^548+2474386*p^48*q^550+83006*p^46*q^ 552+1828*p^44*q^554+4*p^42*q^556+12*p^61*q^536+10695*p^59*q^538+300338*p^57*q^ 540+7232186*p^55*q^542+79572326*p^53*q^544+97429959*p^51*q^546+12021540*p^49*q^ 548+570881*p^47*q^550+14904*p^45*q^552+196*p^43*q^554+636*p^60*q^536+50284*p^58 *q^538+1324730*p^56*q^540+26693520*p^54*q^542+124249062*p^52*q^544+45197148*p^ 50*q^546+3082828*p^48*q^548+117296*p^46*q^550+4492*p^44*q^552+8*p^42*q^554+9080 *p^59*q^536+244462*p^57*q^538+5977866*p^55*q^540+72539314*p^53*q^542+105736534* p^51*q^544+14349387*p^49*q^546+675996*p^47*q^548+16318*p^45*q^550+72*p^43*q^552 +330*p^60*q^534+42547*p^58*q^536+1106278*p^56*q^538+22671534*p^54*q^540+ 121165256*p^52*q^542+52166896*p^50*q^544+3795148*p^48*q^546+152432*p^46*q^548+ 5032*p^44*q^550+12*p^42*q^552+24*p^61*q^532+5594*p^59*q^534+187144*p^57*q^536+ 4810328*p^55*q^538+64605642*p^53*q^540+113692096*p^51*q^542+17427338*p^49*q^544 +876564*p^47*q^546+24394*p^45*q^548+676*p^43*q^550+60*p^60*q^532+35194*p^58*q^ 534+895046*p^56*q^536+19223624*p^54*q^538+118642620*p^52*q^540+59921208*p^50*q^ 542+4602431*p^48*q^544+170728*p^46*q^546+4286*p^44*q^548+4*p^61*q^530+3452*p^59 *q^532+156020*p^57*q^534+4010030*p^55*q^536+57981744*p^53*q^538+119592104*p^51* q^540+20741222*p^49*q^542+1065088*p^47*q^544+33270*p^45*q^546+1188*p^43*q^548+ 300*p^60*q^530+29634*p^58*q^532+740600*p^56*q^534+16131498*p^54*q^536+112710038 *p^52*q^538+68170292*p^50*q^540+5679774*p^48*q^542+236938*p^46*q^544+5188*p^44* q^546+36*p^42*q^548+1300*p^59*q^530+119076*p^57*q^532+3187516*p^55*q^534+ 50805020*p^53*q^536+125305989*p^51*q^538+24842410*p^49*q^540+1340272*p^47*q^542 +40390*p^45*q^544+1472*p^43*q^546+104*p^60*q^528+21832*p^58*q^530+586378*p^56*q ^532+13578052*p^54*q^534+108214818*p^52*q^536+76635134*p^50*q^538+6808056*p^48* q^540+276966*p^46*q^542+5534*p^44*q^544+148*p^42*q^546+1862*p^59*q^528+108384*p ^57*q^530+2707958*p^55*q^532+44605671*p^53*q^534+129510402*p^51*q^536+29298032* p^49*q^538+1657244*p^47*q^540+55454*p^45*q^542+1792*p^43*q^544+20*p^60*q^526+ 12230*p^58*q^528+447802*p^56*q^530+10984469*p^54*q^532+100506148*p^52*q^534+ 86115526*p^50*q^536+8450760*p^48*q^538+360897*p^46*q^540+8468*p^44*q^542+256*p^ 42*q^544+8*p^61*q^524+1214*p^59*q^526+94464*p^57*q^528+2201404*p^55*q^530+ 38958286*p^53*q^532+131844070*p^51*q^534+34699792*p^49*q^536+1996096*p^47*q^538 +66128*p^45*q^540+922*p^43*q^542+8*p^41*q^544+9644*p^58*q^526+367594*p^56*q^528 +9210728*p^54*q^530+92631366*p^52*q^532+94897926*p^50*q^534+10202043*p^48*q^536 +455846*p^46*q^538+10904*p^44*q^540+688*p^42*q^542+4*p^61*q^522+500*p^59*q^524+ 66498*p^57*q^526+1763584*p^55*q^528+33489366*p^53*q^530+134065756*p^51*q^532+ 40580686*p^49*q^534+2488094*p^47*q^536+85690*p^45*q^538+1206*p^43*q^540+12*p^41 *q^542+68*p^60*q^522+8592*p^58*q^524+326268*p^56*q^526+7722700*p^54*q^528+ 85286666*p^52*q^530+102914879*p^50*q^532+12289402*p^48*q^534+540563*p^46*q^536+ 13510*p^44*q^538+352*p^42*q^540+8*p^61*q^520+152*p^59*q^522+47884*p^57*q^524+ 1376895*p^55*q^526+28129508*p^53*q^528+132214212*p^51*q^530+47878266*p^49*q^532 +3182308*p^47*q^534+123590*p^45*q^536+2017*p^43*q^538+136*p^41*q^540+48*p^60*q^ 520+4584*p^58*q^522+262970*p^56*q^524+6319500*p^54*q^526+78155197*p^52*q^528+ 112660880*p^50*q^530+14672749*p^48*q^532+647378*p^46*q^534+15617*p^44*q^536+60* p^42*q^538+220*p^59*q^520+43662*p^57*q^522+1155584*p^55*q^524+24277306*p^53*q^ 526+129607644*p^51*q^528+54323182*p^49*q^530+3814426*p^47*q^532+143464*p^45*q^ 534+2298*p^43*q^536+156*p^41*q^538+128*p^60*q^518+2764*p^58*q^520+204644*p^56*q ^522+5117149*p^54*q^524+69368258*p^52*q^526+120800417*p^50*q^528+18095384*p^48* q^530+877338*p^46*q^532+29668*p^44*q^534+328*p^42*q^536+8*p^40*q^538+304*p^59*q ^518+27256*p^57*q^520+930180*p^55*q^522+20242744*p^53*q^524+126157540*p^51*q^ 526+62684390*p^49*q^528+4581678*p^47*q^530+165494*p^45*q^532+1958*p^43*q^534+8* p^60*q^516+1038*p^58*q^518+175656*p^56*q^520+4229214*p^54*q^522+61875761*p^52*q ^524+127196652*p^50*q^526+21494270*p^48*q^528+1086262*p^46*q^530+35768*p^44*q^ 532+288*p^42*q^534+40*p^40*q^536+810*p^59*q^516+22159*p^57*q^518+773582*p^55*q^ 520+17118905*p^53*q^522+121432066*p^51*q^524+71203172*p^49*q^526+5665910*p^47*q ^528+204570*p^45*q^530+5116*p^43*q^532+28*p^41*q^534+1324*p^58*q^516+128366*p^ 56*q^518+3419749*p^54*q^520+54332000*p^52*q^522+132989937*p^50*q^524+25677118*p ^48*q^526+1341814*p^46*q^528+46572*p^44*q^530+186*p^42*q^532+288*p^59*q^514+ 10728*p^57*q^516+629739*p^55*q^518+14201920*p^53*q^520+114406877*p^51*q^522+ 80894670*p^49*q^524+6958578*p^47*q^526+269740*p^45*q^528+6970*p^43*q^530+16*p^ 41*q^532+4*p^39*q^534+8*p^60*q^512+2752*p^58*q^514+107132*p^56*q^516+2782862*p^ 54*q^518+47539437*p^52*q^520+137035968*p^50*q^522+30243700*p^48*q^524+1641108*p ^46*q^526+50260*p^44*q^528+506*p^42*q^530+28*p^59*q^512+7238*p^57*q^514+508788* p^55*q^516+11920396*p^53*q^518+107407378*p^51*q^520+89730204*p^49*q^522+8516468 *p^47*q^524+348256*p^45*q^526+11456*p^43*q^528+12*p^41*q^530+2688*p^58*q^512+ 76862*p^56*q^514+2306995*p^54*q^516+41129872*p^52*q^518+140120155*p^50*q^520+ 35690360*p^48*q^522+2006638*p^46*q^524+56986*p^44*q^526+1064*p^42*q^528+140*p^ 59*q^510+7764*p^57*q^512+411836*p^55*q^514+9666650*p^53*q^516+99208899*p^51*q^ 518+99718424*p^49*q^520+10430768*p^47*q^522+459650*p^45*q^524+15546*p^43*q^526+ 24*p^41*q^528+656*p^58*q^510+46656*p^56*q^512+1830466*p^54*q^514+35318460*p^52* q^516+141494792*p^50*q^518+42020348*p^48*q^520+2450042*p^46*q^522+71582*p^44*q^ 524+1544*p^42*q^526+20*p^59*q^508+10992*p^57*q^510+349470*p^55*q^512+8208190*p^ 53*q^514+91006842*p^51*q^516+108512215*p^49*q^518+12346664*p^47*q^520+544384*p^ 45*q^522+13420*p^43*q^524+136*p^41*q^526+1032*p^58*q^508+37046*p^56*q^510+ 1511322*p^54*q^512+29974212*p^52*q^514+139679862*p^50*q^516+49163142*p^48*q^518 +3163125*p^46*q^520+111694*p^44*q^522+4076*p^42*q^524+6138*p^57*q^508+243752*p^ 55*q^510+6569950*p^53*q^512+82331271*p^51*q^514+118569090*p^49*q^516+15152323*p ^47*q^518+666570*p^45*q^520+13172*p^43*q^522+52*p^41*q^524+464*p^58*q^506+32014 *p^56*q^508+1256442*p^54*q^510+25701294*p^52*q^512+137469144*p^50*q^514+ 56251681*p^48*q^516+3735028*p^46*q^518+136960*p^44*q^520+3980*p^42*q^522+8*p^40 *q^524+5526*p^57*q^506+198284*p^55*q^508+5429672*p^53*q^510+73652798*p^51*q^512 +125584632*p^49*q^514+18271522*p^47*q^516+866164*p^45*q^518+20466*p^43*q^520+ 628*p^41*q^522+76*p^58*q^504+29474*p^56*q^506+1003402*p^54*q^508+21524638*p^52* q^510+134077784*p^50*q^512+65003864*p^48*q^514+4613995*p^46*q^516+167696*p^44*q ^518+3770*p^42*q^520+20*p^59*q^502+4340*p^57*q^504+134639*p^55*q^506+4413084*p^ 53*q^508+65479276*p^51*q^510+133661542*p^49*q^512+21801123*p^47*q^514+1062028*p ^45*q^516+29106*p^43*q^518+872*p^41*q^520+2*p^60*q^500+36*p^58*q^502+24982*p^56 *q^504+825888*p^54*q^506+18059386*p^52*q^508+127777462*p^50*q^510+74355797*p^48 *q^512+5673706*p^46*q^514+225171*p^44*q^516+3232*p^42*q^518+40*p^40*q^520+1316* p^57*q^502+111066*p^55*q^504+3609504*p^53*q^506+57395684*p^51*q^508+139293968*p ^49*q^510+25876626*p^47*q^512+1292684*p^45*q^514+35284*p^43*q^516+1222*p^41*q^ 518+8*p^60*q^498+212*p^58*q^500+23092*p^56*q^502+647768*p^54*q^504+15128672*p^ 52*q^506+121019375*p^50*q^508+83017100*p^48*q^510+6990464*p^46*q^512+278506*p^ 44*q^514+4428*p^42*q^516+116*p^40*q^518+16*p^59*q^498+860*p^57*q^500+95338*p^55 *q^502+2983464*p^53*q^504+50025448*p^51*q^506+143789072*p^49*q^508+31251876*p^ 47*q^510+1600306*p^45*q^512+53042*p^43*q^514+980*p^41*q^516+28*p^58*q^498+12038 *p^56*q^500+467568*p^54*q^502+12305777*p^52*q^504+113680618*p^50*q^506+93578986 *p^48*q^508+8423210*p^46*q^510+347522*p^44*q^512+5798*p^42*q^514+196*p^40*q^516 +88*p^59*q^496+1002*p^57*q^498+91350*p^55*q^500+2508890*p^53*q^502+43971858*p^ 51*q^504+146238484*p^49*q^506+36173038*p^47*q^508+1954196*p^45*q^510+63860*p^43 *q^512+458*p^41*q^514+8*p^39*q^516+42*p^58*q^496+8764*p^56*q^498+375404*p^54*q^ 500+10221200*p^52*q^502+103539066*p^50*q^504+103004800*p^48*q^506+10488528*p^46 *q^508+456028*p^44*q^510+10496*p^42*q^512+392*p^40*q^514+8*p^59*q^494+640*p^57* q^496+65512*p^55*q^498+1946672*p^53*q^500+37232345*p^51*q^502+149129746*p^49*q^ 504+43074362*p^47*q^506+2428738*p^45*q^508+83238*p^43*q^510+612*p^41*q^512+8*p^ 39*q^514+388*p^58*q^494+4894*p^56*q^496+325128*p^54*q^498+8551690*p^52*q^500+ 96135606*p^50*q^502+112096048*p^48*q^504+12414978*p^46*q^506+512630*p^44*q^508+ 12172*p^42*q^510+64*p^40*q^512+8*p^59*q^492+162*p^57*q^494+51236*p^55*q^496+ 1542622*p^53*q^498+31591410*p^51*q^500+146039772*p^49*q^502+50300428*p^47*q^504 +3059401*p^45*q^506+124996*p^43*q^508+1636*p^41*q^510+88*p^39*q^512+202*p^58*q^ 492+4488*p^56*q^494+264892*p^54*q^496+7069464*p^52*q^498+86694054*p^50*q^500+ 122258564*p^48*q^502+15088153*p^46*q^504+632754*p^44*q^506+15424*p^42*q^508+20* p^40*q^510+878*p^57*q^492+34036*p^55*q^494+1235422*p^53*q^496+26742304*p^51*q^ 498+144084960*p^49*q^500+57757165*p^47*q^502+3762520*p^45*q^504+145994*p^43*q^ 506+2052*p^41*q^508+16*p^39*q^510+100*p^58*q^490+2282*p^56*q^492+218008*p^54*q^ 494+5759222*p^52*q^496+77795342*p^50*q^498+131338558*p^48*q^500+18393294*p^46*q ^502+806335*p^44*q^504+26814*p^42*q^506+164*p^40*q^508+8*p^38*q^510+1242*p^57*q ^490+22532*p^55*q^492+1006455*p^53*q^494+22664074*p^51*q^496+139302089*p^49*q^ 498+66163528*p^47*q^500+4517288*p^45*q^502+162712*p^43*q^504+1708*p^41*q^506+40 *p^58*q^488+2084*p^56*q^490+176768*p^54*q^492+4664136*p^52*q^494+68608326*p^50* q^496+137631862*p^48*q^498+22070912*p^46*q^500+1042622*p^44*q^502+39276*p^42*q^ 504+304*p^40*q^506+2*p^38*q^508+764*p^57*q^488+18020*p^55*q^490+813062*p^53*q^ 492+18934756*p^51*q^494+133645440*p^49*q^496+75688289*p^47*q^498+5611446*p^45*q ^500+204678*p^43*q^502+4330*p^41*q^504+8*p^39*q^506+3340*p^56*q^488+115566*p^54 *q^490+3776796*p^52*q^492+60588222*p^50*q^494+145049766*p^48*q^496+26224868*p^ 46*q^498+1255448*p^44*q^500+45964*p^42*q^502+76*p^40*q^504+608*p^57*q^486+12442 *p^55*q^488+697855*p^53*q^490+15876742*p^51*q^492+126966201*p^49*q^494+84959536 *p^47*q^496+6787845*p^45*q^498+253640*p^43*q^500+7240*p^41*q^502+24*p^39*q^504+ 16*p^58*q^484+3616*p^56*q^486+98364*p^54*q^488+3059326*p^52*q^490+52251587*p^50 *q^492+148380690*p^48*q^494+31341852*p^46*q^496+1574682*p^44*q^498+56286*p^42*q ^500+468*p^40*q^502+52*p^57*q^484+8412*p^55*q^486+511924*p^53*q^488+13036081*p^ 51*q^490+118208562*p^49*q^492+96059275*p^47*q^494+8475332*p^45*q^496+326260*p^ 43*q^498+11092*p^41*q^500+3650*p^56*q^484+72852*p^54*q^486+2556390*p^52*q^488+ 45737010*p^50*q^490+152165082*p^48*q^492+36637294*p^46*q^494+1868050*p^44*q^496 +58396*p^42*q^498+932*p^40*q^500+198*p^57*q^482+10258*p^55*q^484+433522*p^53*q^ 486+10803730*p^51*q^488+108882332*p^49*q^490+105141368*p^47*q^492+10356780*p^45 *q^494+429060*p^43*q^496+15800*p^41*q^498+20*p^39*q^500+1480*p^56*q^482+46776*p ^54*q^484+1990696*p^52*q^486+38980970*p^50*q^488+152593216*p^48*q^490+43455558* p^46*q^492+2372442*p^44*q^494+78116*p^42*q^496+1488*p^40*q^498+28*p^57*q^480+ 13172*p^55*q^482+340432*p^53*q^484+8972852*p^51*q^486+99845368*p^49*q^488+ 115098085*p^47*q^490+12419514*p^45*q^492+492780*p^43*q^494+15304*p^41*q^496+108 *p^39*q^498+1162*p^56*q^480+33404*p^54*q^482+1630538*p^52*q^484+33081948*p^50*q ^486+152614286*p^48*q^488+50524964*p^46*q^490+2986776*p^44*q^492+111004*p^42*q^ 494+3616*p^40*q^496+9968*p^55*q^480+257708*p^53*q^482+7363626*p^51*q^484+ 90809983*p^49*q^486+125141952*p^47*q^488+15034663*p^45*q^490+603568*p^43*q^492+ 16833*p^41*q^494+72*p^39*q^496+648*p^56*q^478+38966*p^54*q^480+1352406*p^52*q^ 482+28057762*p^50*q^484+148238180*p^48*q^486+58443711*p^46*q^488+3639260*p^44*q ^490+132424*p^42*q^492+4042*p^40*q^494+8*p^38*q^496+4*p^59*q^474+4*p^57*q^476+ 6431*p^55*q^478+178032*p^53*q^480+5876050*p^51*q^482+80317736*p^49*q^484+ 134073440*p^47*q^486+18432520*p^45*q^488+797618*p^43*q^490+28160*p^41*q^492+516 *p^39*q^494+72*p^56*q^476+35128*p^54*q^478+1082484*p^52*q^480+23789686*p^50*q^ 482+144839757*p^48*q^484+66920528*p^46*q^486+4382826*p^44*q^488+146630*p^42*q^ 490+3080*p^40*q^492+4*p^57*q^474+5424*p^55*q^476+144073*p^53*q^478+4924584*p^51 *q^480+71754905*p^49*q^482+141157766*p^47*q^484+21901715*p^45*q^486+985378*p^43 *q^488+34440*p^41*q^490+816*p^39*q^492+40*p^58*q^472+116*p^56*q^474+30082*p^54* q^476+863628*p^52*q^478+19781126*p^50*q^480+138019424*p^48*q^482+76439563*p^46* q^484+5579012*p^44*q^486+197710*p^42*q^488+6732*p^40*q^490+32*p^38*q^492+1660*p ^55*q^474+117614*p^53*q^476+3910660*p^51*q^478+62638518*p^49*q^480+147991352*p^ 47*q^482+26300858*p^45*q^484+1190002*p^43*q^486+41076*p^41*q^488+508*p^39*q^490 +8*p^58*q^470+72*p^56*q^472+25972*p^54*q^474+645494*p^52*q^476+16645874*p^50*q^ 478+131211964*p^48*q^480+86147302*p^46*q^482+6718590*p^44*q^484+244832*p^42*q^ 486+7902*p^40*q^488+112*p^38*q^490+148*p^57*q^470+1296*p^55*q^472+105991*p^53*q ^474+3310836*p^51*q^476+54703087*p^49*q^478+152102810*p^47*q^480+31029615*p^45* q^482+1486566*p^43*q^484+49651*p^41*q^486+1090*p^39*q^488+16*p^56*q^470+15044*p ^54*q^472+500524*p^52*q^474+13460626*p^50*q^476+122160880*p^48*q^478+96714155*p ^46*q^480+8408922*p^44*q^482+314557*p^42*q^484+11548*p^40*q^486+56*p^38*q^488+ 136*p^57*q^468+712*p^55*q^470+96946*p^53*q^472+2653290*p^51*q^474+47503712*p^49 *q^476+155343569*p^47*q^478+36722390*p^45*q^480+1829181*p^43*q^482+54908*p^41*q ^484+1810*p^39*q^486+8*p^37*q^488+268*p^56*q^468+9986*p^54*q^470+399439*p^52*q^ 472+11246934*p^50*q^474+112525828*p^48*q^476+106613792*p^46*q^478+10197103*p^44 *q^480+380654*p^42*q^482+16336*p^40*q^484+112*p^38*q^486+16*p^57*q^466+416*p^55 *q^468+73328*p^53*q^470+2093914*p^51*q^472+40664141*p^49*q^474+157028604*p^47*q ^476+43143126*p^45*q^478+2294774*p^43*q^480+72704*p^41*q^482+1964*p^39*q^484+4* p^37*q^486+672*p^56*q^466+6360*p^54*q^468+347156*p^52*q^470+9397104*p^50*q^472+ 102925472*p^48*q^474+116440249*p^46*q^476+12300328*p^44*q^478+472110*p^42*q^480 +14850*p^40*q^482+340*p^38*q^484+12*p^57*q^464+440*p^55*q^466+55200*p^53*q^468+ 1634932*p^51*q^470+34228186*p^49*q^472+155201200*p^47*q^474+50796018*p^45*q^476 +2948716*p^43*q^478+97400*p^41*q^480+5302*p^39*q^482+8*p^37*q^484+312*p^56*q^ 464+3642*p^54*q^466+274866*p^52*q^468+7667906*p^50*q^470+93536113*p^48*q^472+ 126322972*p^46*q^474+14829676*p^44*q^476+570634*p^42*q^478+15174*p^40*q^480+116 *p^38*q^482+1520*p^55*q^464+41122*p^53*q^466+1366362*p^51*q^468+29377799*p^49*q ^470+152339162*p^47*q^472+57968202*p^45*q^474+3548196*p^43*q^476+115436*p^41*q^ 478+5498*p^39*q^480+28*p^37*q^482+196*p^56*q^462+2828*p^54*q^464+232178*p^52*q^ 466+6171409*p^50*q^468+83203406*p^48*q^470+135165047*p^46*q^472+18130156*p^44*q ^474+769524*p^42*q^476+22230*p^40*q^478+1040*p^38*q^480+1672*p^55*q^462+24008*p ^53*q^464+1047946*p^51*q^466+24437822*p^49*q^468+148220962*p^47*q^470+67381198* p^45*q^472+4366283*p^43*q^474+137208*p^41*q^476+5454*p^39*q^478+24*p^56*q^460+ 3000*p^54*q^462+186866*p^52*q^464+5119218*p^50*q^466+74054584*p^48*q^468+ 143309168*p^46*q^470+21496352*p^44*q^472+930214*p^42*q^474+25528*p^40*q^476+ 1660*p^38*q^478+1412*p^55*q^460+20960*p^53*q^462+890004*p^51*q^464+20600613*p^ 49*q^466+140888350*p^47*q^468+76156781*p^45*q^470+5429474*p^43*q^472+188994*p^ 41*q^474+5122*p^39*q^476+80*p^37*q^478+4088*p^54*q^460+128020*p^52*q^462+ 4079402*p^50*q^464+64654036*p^48*q^466+149684711*p^46*q^468+26010608*p^44*q^470 +1171782*p^42*q^472+30588*p^40*q^474+2382*p^38*q^476+652*p^55*q^458+13306*p^53* q^460+724018*p^51*q^462+17084834*p^49*q^464+133884381*p^47*q^466+85996108*p^45* q^468+6605621*p^43*q^470+234816*p^41*q^472+4624*p^39*q^474+328*p^37*q^476+4*p^ 56*q^456+5294*p^54*q^458+107593*p^52*q^460+3314152*p^50*q^462+56550727*p^48*q^ 464+153813056*p^46*q^466+30877545*p^44*q^468+1452792*p^42*q^470+42218*p^40*q^ 472+2310*p^38*q^474+48*p^55*q^456+11062*p^53*q^458+550786*p^51*q^460+14219556*p ^49*q^462+125208646*p^47*q^464+96308002*p^45*q^466+8098232*p^43*q^468+296362*p^ 41*q^470+5914*p^39*q^472+508*p^37*q^474+4696*p^54*q^456+81346*p^52*q^458+ 2772196*p^50*q^460+48806140*p^48*q^462+157238773*p^46*q^464+36115498*p^44*q^466 +1805168*p^42*q^468+55722*p^40*q^470+900*p^38*q^472+32*p^36*q^474+100*p^55*q^ 454+12288*p^53*q^456+441695*p^51*q^458+11521580*p^49*q^460+115049058*p^47*q^462 +107193646*p^45*q^464+10041458*p^43*q^466+376616*p^41*q^468+8246*p^39*q^470+ 1276*p^37*q^472+1512*p^54*q^454+52816*p^52*q^456+2153798*p^50*q^458+41824397*p^ 48*q^460+159027036*p^46*q^462+42631693*p^44*q^464+2201410*p^42*q^466+70500*p^40 *q^468+786*p^38*q^470+32*p^36*q^472+12*p^55*q^452+16490*p^53*q^454+380036*p^51* q^456+9802155*p^49*q^458+105261654*p^47*q^460+115708926*p^45*q^462+12018374*p^ 43*q^464+450229*p^41*q^466+10802*p^39*q^468+406*p^37*q^470+2*p^58*q^448+1044*p^ 54*q^452+42710*p^52*q^454+1733035*p^50*q^456+35285694*p^48*q^458+156664698*p^46 *q^460+50251652*p^44*q^462+2857819*p^42*q^464+103612*p^40*q^466+1518*p^38*q^468 +378*p^36*q^470+12*p^55*q^450+10924*p^53*q^452+266734*p^51*q^454+7912868*p^49*q ^456+95689206*p^47*q^458+126752202*p^45*q^460+14485506*p^43*q^462+542634*p^41*q ^464+13250*p^39*q^466+38*p^37*q^468+368*p^54*q^450+42564*p^52*q^452+1420558*p^ 50*q^454+30113263*p^48*q^456+154286186*p^46*q^458+57430620*p^44*q^460+3484314*p ^42*q^462+115798*p^40*q^464+1560*p^38*q^466+264*p^36*q^468+24*p^57*q^446+12*p^ 55*q^448+7184*p^53*q^450+212910*p^51*q^452+6474465*p^49*q^454+85175124*p^47*q^ 456+135341427*p^45*q^458+17700012*p^43*q^460+719324*p^41*q^462+25404*p^39*q^464 +228*p^37*q^466+42*p^35*q^468+134*p^54*q^448+40634*p^52*q^450+1142200*p^50*q^ 452+25307490*p^48*q^454+149206797*p^46*q^456+66047262*p^44*q^458+4250645*p^42*q ^460+135320*p^40*q^462+1616*p^38*q^464+16*p^55*q^446+4180*p^53*q^448+158664*p^ 51*q^450+5173926*p^49*q^452+75390910*p^47*q^454+143390744*p^45*q^456+21304428*p ^43*q^458+921638*p^41*q^460+32542*p^39*q^462+172*p^37*q^464+112*p^35*q^466+112* p^56*q^444+172*p^54*q^446+32542*p^52*q^448+921638*p^50*q^450+21304428*p^48*q^ 452+143390744*p^46*q^454+75390910*p^44*q^456+5173926*p^42*q^458+158664*p^40*q^ 460+4180*p^38*q^462+16*p^36*q^464+1616*p^53*q^446+135320*p^51*q^448+4250645*p^ 49*q^450+66047262*p^47*q^452+149206797*p^45*q^454+25307490*p^43*q^456+1142200*p ^41*q^458+40634*p^39*q^460+134*p^37*q^462+42*p^56*q^442+228*p^54*q^444+25404*p^ 52*q^446+719324*p^50*q^448+17700012*p^48*q^450+135341427*p^46*q^452+85175124*p^ 44*q^454+6474465*p^42*q^456+212910*p^40*q^458+7184*p^38*q^460+12*p^36*q^462+24* p^34*q^464+264*p^55*q^442+1560*p^53*q^444+115798*p^51*q^446+3484314*p^49*q^448+ 57430620*p^47*q^450+154286186*p^45*q^452+30113263*p^43*q^454+1420558*p^41*q^456 +42564*p^39*q^458+368*p^37*q^460+38*p^54*q^442+13250*p^52*q^444+542634*p^50*q^ 446+14485506*p^48*q^448+126752202*p^46*q^450+95689206*p^44*q^452+7912868*p^42*q ^454+266734*p^40*q^456+10924*p^38*q^458+12*p^36*q^460+378*p^55*q^440+1518*p^53* q^442+103612*p^51*q^444+2857819*p^49*q^446+50251652*p^47*q^448+156664698*p^45*q ^450+35285694*p^43*q^452+1733035*p^41*q^454+42710*p^39*q^456+1044*p^37*q^458+2* p^33*q^462+406*p^54*q^440+10802*p^52*q^442+450229*p^50*q^444+12018374*p^48*q^ 446+115708926*p^46*q^448+105261654*p^44*q^450+9802155*p^42*q^452+380036*p^40*q^ 454+16490*p^38*q^456+12*p^36*q^458+32*p^55*q^438+786*p^53*q^440+70500*p^51*q^ 442+2201410*p^49*q^444+42631693*p^47*q^446+159027036*p^45*q^448+41824397*p^43*q ^450+2153798*p^41*q^452+52816*p^39*q^454+1512*p^37*q^456+1276*p^54*q^438+8246*p ^52*q^440+376616*p^50*q^442+10041458*p^48*q^444+107193646*p^46*q^446+115049058* p^44*q^448+11521580*p^42*q^450+441695*p^40*q^452+12288*p^38*q^454+100*p^36*q^ 456+32*p^55*q^436+900*p^53*q^438+55722*p^51*q^440+1805168*p^49*q^442+36115498*p ^47*q^444+157238773*p^45*q^446+48806140*p^43*q^448+2772196*p^41*q^450+81346*p^ 39*q^452+4696*p^37*q^454+508*p^54*q^436+5914*p^52*q^438+296362*p^50*q^440+ 8098232*p^48*q^442+96308002*p^46*q^444+125208646*p^44*q^446+14219556*p^42*q^448 +550786*p^40*q^450+11062*p^38*q^452+48*p^36*q^454+2310*p^53*q^436+42218*p^51*q^ 438+1452792*p^49*q^440+30877545*p^47*q^442+153813056*p^45*q^444+56550727*p^43*q ^446+3314152*p^41*q^448+107593*p^39*q^450+5294*p^37*q^452+4*p^35*q^454+328*p^54 *q^434+4624*p^52*q^436+234816*p^50*q^438+6605621*p^48*q^440+85996108*p^46*q^442 +133884381*p^44*q^444+17084834*p^42*q^446+724018*p^40*q^448+13306*p^38*q^450+ 652*p^36*q^452+2382*p^53*q^434+30588*p^51*q^436+1171782*p^49*q^438+26010608*p^ 47*q^440+149684711*p^45*q^442+64654036*p^43*q^444+4079402*p^41*q^446+128020*p^ 39*q^448+4088*p^37*q^450+80*p^54*q^432+5122*p^52*q^434+188994*p^50*q^436+ 5429474*p^48*q^438+76156781*p^46*q^440+140888350*p^44*q^442+20600613*p^42*q^444 +890004*p^40*q^446+20960*p^38*q^448+1412*p^36*q^450+1660*p^53*q^432+25528*p^51* q^434+930214*p^49*q^436+21496352*p^47*q^438+143309168*p^45*q^440+74054584*p^43* q^442+5119218*p^41*q^444+186866*p^39*q^446+3000*p^37*q^448+24*p^35*q^450+5454*p ^52*q^432+137208*p^50*q^434+4366283*p^48*q^436+67381198*p^46*q^438+148220962*p^ 44*q^440+24437822*p^42*q^442+1047946*p^40*q^444+24008*p^38*q^446+1672*p^36*q^ 448+1040*p^53*q^430+22230*p^51*q^432+769524*p^49*q^434+18130156*p^47*q^436+ 135165047*p^45*q^438+83203406*p^43*q^440+6171409*p^41*q^442+232178*p^39*q^444+ 2828*p^37*q^446+196*p^35*q^448+28*p^54*q^428+5498*p^52*q^430+115436*p^50*q^432+ 3548196*p^48*q^434+57968202*p^46*q^436+152339162*p^44*q^438+29377799*p^42*q^440 +1366362*p^40*q^442+41122*p^38*q^444+1520*p^36*q^446+116*p^53*q^428+15174*p^51* q^430+570634*p^49*q^432+14829676*p^47*q^434+126322972*p^45*q^436+93536113*p^43* q^438+7667906*p^41*q^440+274866*p^39*q^442+3642*p^37*q^444+312*p^35*q^446+8*p^ 54*q^426+5302*p^52*q^428+97400*p^50*q^430+2948716*p^48*q^432+50796018*p^46*q^ 434+155201200*p^44*q^436+34228186*p^42*q^438+1634932*p^40*q^440+55200*p^38*q^ 442+440*p^36*q^444+12*p^34*q^446+340*p^53*q^426+14850*p^51*q^428+472110*p^49*q^ 430+12300328*p^47*q^432+116440249*p^45*q^434+102925472*p^43*q^436+9397104*p^41* q^438+347156*p^39*q^440+6360*p^37*q^442+672*p^35*q^444+4*p^54*q^424+1964*p^52*q ^426+72704*p^50*q^428+2294774*p^48*q^430+43143126*p^46*q^432+157028604*p^44*q^ 434+40664141*p^42*q^436+2093914*p^40*q^438+73328*p^38*q^440+416*p^36*q^442+16*p ^34*q^444+112*p^53*q^424+16336*p^51*q^426+380654*p^49*q^428+10197103*p^47*q^430 +106613792*p^45*q^432+112525828*p^43*q^434+11246934*p^41*q^436+399439*p^39*q^ 438+9986*p^37*q^440+268*p^35*q^442+8*p^54*q^422+1810*p^52*q^424+54908*p^50*q^ 426+1829181*p^48*q^428+36722390*p^46*q^430+155343569*p^44*q^432+47503712*p^42*q ^434+2653290*p^40*q^436+96946*p^38*q^438+712*p^36*q^440+136*p^34*q^442+56*p^53* q^422+11548*p^51*q^424+314557*p^49*q^426+8408922*p^47*q^428+96714155*p^45*q^430 +122160880*p^43*q^432+13460626*p^41*q^434+500524*p^39*q^436+15044*p^37*q^438+16 *p^35*q^440+1090*p^52*q^422+49651*p^50*q^424+1486566*p^48*q^426+31029615*p^46*q ^428+152102810*p^44*q^430+54703087*p^42*q^432+3310836*p^40*q^434+105991*p^38*q^ 436+1296*p^36*q^438+148*p^34*q^440+112*p^53*q^420+7902*p^51*q^422+244832*p^49*q ^424+6718590*p^47*q^426+86147302*p^45*q^428+131211964*p^43*q^430+16645874*p^41* q^432+645494*p^39*q^434+25972*p^37*q^436+72*p^35*q^438+8*p^33*q^440+508*p^52*q^ 420+41076*p^50*q^422+1190002*p^48*q^424+26300858*p^46*q^426+147991352*p^44*q^ 428+62638518*p^42*q^430+3910660*p^40*q^432+117614*p^38*q^434+1660*p^36*q^436+32 *p^53*q^418+6732*p^51*q^420+197710*p^49*q^422+5579012*p^47*q^424+76439563*p^45* q^426+138019424*p^43*q^428+19781126*p^41*q^430+863628*p^39*q^432+30082*p^37*q^ 434+116*p^35*q^436+40*p^33*q^438+816*p^52*q^418+34440*p^50*q^420+985378*p^48*q^ 422+21901715*p^46*q^424+141157766*p^44*q^426+71754905*p^42*q^428+4924584*p^40*q ^430+144073*p^38*q^432+5424*p^36*q^434+4*p^34*q^436+3080*p^51*q^418+146630*p^49 *q^420+4382826*p^47*q^422+66920528*p^45*q^424+144839757*p^43*q^426+23789686*p^ 41*q^428+1082484*p^39*q^430+35128*p^37*q^432+72*p^35*q^434+516*p^52*q^416+28160 *p^50*q^418+797618*p^48*q^420+18432520*p^46*q^422+134073440*p^44*q^424+80317736 *p^42*q^426+5876050*p^40*q^428+178032*p^38*q^430+6431*p^36*q^432+4*p^34*q^434+4 *p^32*q^436+8*p^53*q^414+4042*p^51*q^416+132424*p^49*q^418+3639260*p^47*q^420+ 58443711*p^45*q^422+148238180*p^43*q^424+28057762*p^41*q^426+1352406*p^39*q^428 +38966*p^37*q^430+648*p^35*q^432+72*p^52*q^414+16833*p^50*q^416+603568*p^48*q^ 418+15034663*p^46*q^420+125141952*p^44*q^422+90809983*p^42*q^424+7363626*p^40*q ^426+257708*p^38*q^428+9968*p^36*q^430+3616*p^51*q^414+111004*p^49*q^416+ 2986776*p^47*q^418+50524964*p^45*q^420+152614286*p^43*q^422+33081948*p^41*q^424 +1630538*p^39*q^426+33404*p^37*q^428+1162*p^35*q^430+108*p^52*q^412+15304*p^50* q^414+492780*p^48*q^416+12419514*p^46*q^418+115098085*p^44*q^420+99845368*p^42* q^422+8972852*p^40*q^424+340432*p^38*q^426+13172*p^36*q^428+28*p^34*q^430+1488* p^51*q^412+78116*p^49*q^414+2372442*p^47*q^416+43455558*p^45*q^418+152593216*p^ 43*q^420+38980970*p^41*q^422+1990696*p^39*q^424+46776*p^37*q^426+1480*p^35*q^ 428+20*p^52*q^410+15800*p^50*q^412+429060*p^48*q^414+10356780*p^46*q^416+ 105141368*p^44*q^418+108882332*p^42*q^420+10803730*p^40*q^422+433522*p^38*q^424 +10258*p^36*q^426+198*p^34*q^428+932*p^51*q^410+58396*p^49*q^412+1868050*p^47*q ^414+36637294*p^45*q^416+152165082*p^43*q^418+45737010*p^41*q^420+2556390*p^39* q^422+72852*p^37*q^424+3650*p^35*q^426+11092*p^50*q^410+326260*p^48*q^412+ 8475332*p^46*q^414+96059275*p^44*q^416+118208562*p^42*q^418+13036081*p^40*q^420 +511924*p^38*q^422+8412*p^36*q^424+52*p^34*q^426+468*p^51*q^408+56286*p^49*q^ 410+1574682*p^47*q^412+31341852*p^45*q^414+148380690*p^43*q^416+52251587*p^41*q ^418+3059326*p^39*q^420+98364*p^37*q^422+3616*p^35*q^424+16*p^33*q^426+24*p^52* q^406+7240*p^50*q^408+253640*p^48*q^410+6787845*p^46*q^412+84959536*p^44*q^414+ 126966201*p^42*q^416+15876742*p^40*q^418+697855*p^38*q^420+12442*p^36*q^422+608 *p^34*q^424+76*p^51*q^406+45964*p^49*q^408+1255448*p^47*q^410+26224868*p^45*q^ 412+145049766*p^43*q^414+60588222*p^41*q^416+3776796*p^39*q^418+115566*p^37*q^ 420+3340*p^35*q^422+8*p^52*q^404+4330*p^50*q^406+204678*p^48*q^408+5611446*p^46 *q^410+75688289*p^44*q^412+133645440*p^42*q^414+18934756*p^40*q^416+813062*p^38 *q^418+18020*p^36*q^420+764*p^34*q^422+2*p^53*q^402+304*p^51*q^404+39276*p^49*q ^406+1042622*p^47*q^408+22070912*p^45*q^410+137631862*p^43*q^412+68608326*p^41* q^414+4664136*p^39*q^416+176768*p^37*q^418+2084*p^35*q^420+40*p^33*q^422+1708*p ^50*q^404+162712*p^48*q^406+4517288*p^46*q^408+66163528*p^44*q^410+139302089*p^ 42*q^412+22664074*p^40*q^414+1006455*p^38*q^416+22532*p^36*q^418+1242*p^34*q^ 420+8*p^53*q^400+164*p^51*q^402+26814*p^49*q^404+806335*p^47*q^406+18393294*p^ 45*q^408+131338558*p^43*q^410+77795342*p^41*q^412+5759222*p^39*q^414+218008*p^ 37*q^416+2282*p^35*q^418+100*p^33*q^420+16*p^52*q^400+2052*p^50*q^402+145994*p^ 48*q^404+3762520*p^46*q^406+57757165*p^44*q^408+144084960*p^42*q^410+26742304*p ^40*q^412+1235422*p^38*q^414+34036*p^36*q^416+878*p^34*q^418+20*p^51*q^400+ 15424*p^49*q^402+632754*p^47*q^404+15088153*p^45*q^406+122258564*p^43*q^408+ 86694054*p^41*q^410+7069464*p^39*q^412+264892*p^37*q^414+4488*p^35*q^416+202*p^ 33*q^418+88*p^52*q^398+1636*p^50*q^400+124996*p^48*q^402+3059401*p^46*q^404+ 50300428*p^44*q^406+146039772*p^42*q^408+31591410*p^40*q^410+1542622*p^38*q^412 +51236*p^36*q^414+162*p^34*q^416+8*p^32*q^418+64*p^51*q^398+12172*p^49*q^400+ 512630*p^47*q^402+12414978*p^45*q^404+112096048*p^43*q^406+96135606*p^41*q^408+ 8551690*p^39*q^410+325128*p^37*q^412+4894*p^35*q^414+388*p^33*q^416+8*p^52*q^ 396+612*p^50*q^398+83238*p^48*q^400+2428738*p^46*q^402+43074362*p^44*q^404+ 149129746*p^42*q^406+37232345*p^40*q^408+1946672*p^38*q^410+65512*p^36*q^412+ 640*p^34*q^414+8*p^32*q^416+392*p^51*q^396+10496*p^49*q^398+456028*p^47*q^400+ 10488528*p^45*q^402+103004800*p^43*q^404+103539066*p^41*q^406+10221200*p^39*q^ 408+375404*p^37*q^410+8764*p^35*q^412+42*p^33*q^414+8*p^52*q^394+458*p^50*q^396 +63860*p^48*q^398+1954196*p^46*q^400+36173038*p^44*q^402+146238484*p^42*q^404+ 43971858*p^40*q^406+2508890*p^38*q^408+91350*p^36*q^410+1002*p^34*q^412+88*p^32 *q^414+196*p^51*q^394+5798*p^49*q^396+347522*p^47*q^398+8423210*p^45*q^400+ 93578986*p^43*q^402+113680618*p^41*q^404+12305777*p^39*q^406+467568*p^37*q^408+ 12038*p^35*q^410+28*p^33*q^412+980*p^50*q^394+53042*p^48*q^396+1600306*p^46*q^ 398+31251876*p^44*q^400+143789072*p^42*q^402+50025448*p^40*q^404+2983464*p^38*q ^406+95338*p^36*q^408+860*p^34*q^410+16*p^32*q^412+116*p^51*q^392+4428*p^49*q^ 394+278506*p^47*q^396+6990464*p^45*q^398+83017100*p^43*q^400+121019375*p^41*q^ 402+15128672*p^39*q^404+647768*p^37*q^406+23092*p^35*q^408+212*p^33*q^410+8*p^ 31*q^412+1222*p^50*q^392+35284*p^48*q^394+1292684*p^46*q^396+25876626*p^44*q^ 398+139293968*p^42*q^400+57395684*p^40*q^402+3609504*p^38*q^404+111066*p^36*q^ 406+1316*p^34*q^408+40*p^51*q^390+3232*p^49*q^392+225171*p^47*q^394+5673706*p^ 45*q^396+74355797*p^43*q^398+127777462*p^41*q^400+18059386*p^39*q^402+825888*p^ 37*q^404+24982*p^35*q^406+36*p^33*q^408+2*p^31*q^410+872*p^50*q^390+29106*p^48* q^392+1062028*p^46*q^394+21801123*p^44*q^396+133661542*p^42*q^398+65479276*p^40 *q^400+4413084*p^38*q^402+134639*p^36*q^404+4340*p^34*q^406+20*p^32*q^408+3770* p^49*q^390+167696*p^47*q^392+4613995*p^45*q^394+65003864*p^43*q^396+134077784*p ^41*q^398+21524638*p^39*q^400+1003402*p^37*q^402+29474*p^35*q^404+76*p^33*q^406 +628*p^50*q^388+20466*p^48*q^390+866164*p^46*q^392+18271522*p^44*q^394+ 125584632*p^42*q^396+73652798*p^40*q^398+5429672*p^38*q^400+198284*p^36*q^402+ 5526*p^34*q^404+8*p^51*q^386+3980*p^49*q^388+136960*p^47*q^390+3735028*p^45*q^ 392+56251681*p^43*q^394+137469144*p^41*q^396+25701294*p^39*q^398+1256442*p^37*q ^400+32014*p^35*q^402+464*p^33*q^404+52*p^50*q^386+13172*p^48*q^388+666570*p^46 *q^390+15152323*p^44*q^392+118569090*p^42*q^394+82331271*p^40*q^396+6569950*p^ 38*q^398+243752*p^36*q^400+6138*p^34*q^402+4076*p^49*q^386+111694*p^47*q^388+ 3163125*p^45*q^390+49163142*p^43*q^392+139679862*p^41*q^394+29974212*p^39*q^396 +1511322*p^37*q^398+37046*p^35*q^400+1032*p^33*q^402+136*p^50*q^384+13420*p^48* q^386+544384*p^46*q^388+12346664*p^44*q^390+108512215*p^42*q^392+91006842*p^40* q^394+8208190*p^38*q^396+349470*p^36*q^398+10992*p^34*q^400+20*p^32*q^402+1544* p^49*q^384+71582*p^47*q^386+2450042*p^45*q^388+42020348*p^43*q^390+141494792*p^ 41*q^392+35318460*p^39*q^394+1830466*p^37*q^396+46656*p^35*q^398+656*p^33*q^400 +24*p^50*q^382+15546*p^48*q^384+459650*p^46*q^386+10430768*p^44*q^388+99718424* p^42*q^390+99208899*p^40*q^392+9666650*p^38*q^394+411836*p^36*q^396+7764*p^34*q ^398+140*p^32*q^400+1064*p^49*q^382+56986*p^47*q^384+2006638*p^45*q^386+ 35690360*p^43*q^388+140120155*p^41*q^390+41129872*p^39*q^392+2306995*p^37*q^394 +76862*p^35*q^396+2688*p^33*q^398+12*p^50*q^380+11456*p^48*q^382+348256*p^46*q^ 384+8516468*p^44*q^386+89730204*p^42*q^388+107407378*p^40*q^390+11920396*p^38*q ^392+508788*p^36*q^394+7238*p^34*q^396+28*p^32*q^398+506*p^49*q^380+50260*p^47* q^382+1641108*p^45*q^384+30243700*p^43*q^386+137035968*p^41*q^388+47539437*p^39 *q^390+2782862*p^37*q^392+107132*p^35*q^394+2752*p^33*q^396+8*p^31*q^398+4*p^52 *q^376+16*p^50*q^378+6970*p^48*q^380+269740*p^46*q^382+6958578*p^44*q^384+ 80894670*p^42*q^386+114406877*p^40*q^388+14201920*p^38*q^390+629739*p^36*q^392+ 10728*p^34*q^394+288*p^32*q^396+186*p^49*q^378+46572*p^47*q^380+1341814*p^45*q^ 382+25677118*p^43*q^384+132989937*p^41*q^386+54332000*p^39*q^388+3419749*p^37*q ^390+128366*p^35*q^392+1324*p^33*q^394+28*p^50*q^376+5116*p^48*q^378+204570*p^ 46*q^380+5665910*p^44*q^382+71203172*p^42*q^384+121432066*p^40*q^386+17118905*p ^38*q^388+773582*p^36*q^390+22159*p^34*q^392+810*p^32*q^394+40*p^51*q^374+288*p ^49*q^376+35768*p^47*q^378+1086262*p^45*q^380+21494270*p^43*q^382+127196652*p^ 41*q^384+61875761*p^39*q^386+4229214*p^37*q^388+175656*p^35*q^390+1038*p^33*q^ 392+8*p^31*q^394+1958*p^48*q^376+165494*p^46*q^378+4581678*p^44*q^380+62684390* p^42*q^382+126157540*p^40*q^384+20242744*p^38*q^386+930180*p^36*q^388+27256*p^ 34*q^390+304*p^32*q^392+8*p^51*q^372+328*p^49*q^374+29668*p^47*q^376+877338*p^ 45*q^378+18095384*p^43*q^380+120800417*p^41*q^382+69368258*p^39*q^384+5117149*p ^37*q^386+204644*p^35*q^388+2764*p^33*q^390+128*p^31*q^392+156*p^50*q^372+2298* p^48*q^374+143464*p^46*q^376+3814426*p^44*q^378+54323182*p^42*q^380+129607644*p ^40*q^382+24277306*p^38*q^384+1155584*p^36*q^386+43662*p^34*q^388+220*p^32*q^ 390+60*p^49*q^372+15617*p^47*q^374+647378*p^45*q^376+14672749*p^43*q^378+ 112660880*p^41*q^380+78155197*p^39*q^382+6319500*p^37*q^384+262970*p^35*q^386+ 4584*p^33*q^388+48*p^31*q^390+136*p^50*q^370+2017*p^48*q^372+123590*p^46*q^374+ 3182308*p^44*q^376+47878266*p^42*q^378+132214212*p^40*q^380+28129508*p^38*q^382 +1376895*p^36*q^384+47884*p^34*q^386+152*p^32*q^388+8*p^30*q^390+352*p^49*q^370 +13510*p^47*q^372+540563*p^45*q^374+12289402*p^43*q^376+102914879*p^41*q^378+ 85286666*p^39*q^380+7722700*p^37*q^382+326268*p^35*q^384+8592*p^33*q^386+68*p^ 31*q^388+12*p^50*q^368+1206*p^48*q^370+85690*p^46*q^372+2488094*p^44*q^374+ 40580686*p^42*q^376+134065756*p^40*q^378+33489366*p^38*q^380+1763584*p^36*q^382 +66498*p^34*q^384+500*p^32*q^386+4*p^30*q^388+688*p^49*q^368+10904*p^47*q^370+ 455846*p^45*q^372+10202043*p^43*q^374+94897926*p^41*q^376+92631366*p^39*q^378+ 9210728*p^37*q^380+367594*p^35*q^382+9644*p^33*q^384+8*p^50*q^366+922*p^48*q^ 368+66128*p^46*q^370+1996096*p^44*q^372+34699792*p^42*q^374+131844070*p^40*q^ 376+38958286*p^38*q^378+2201404*p^36*q^380+94464*p^34*q^382+1214*p^32*q^384+8*p ^30*q^386+256*p^49*q^366+8468*p^47*q^368+360897*p^45*q^370+8450760*p^43*q^372+ 86115526*p^41*q^374+100506148*p^39*q^376+10984469*p^37*q^378+447802*p^35*q^380+ 12230*p^33*q^382+20*p^31*q^384+1792*p^48*q^366+55454*p^46*q^368+1657244*p^44*q^ 370+29298032*p^42*q^372+129510402*p^40*q^374+44605671*p^38*q^376+2707958*p^36*q ^378+108384*p^34*q^380+1862*p^32*q^382+148*p^49*q^364+5534*p^47*q^366+276966*p^ 45*q^368+6808056*p^43*q^370+76635134*p^41*q^372+108214818*p^39*q^374+13578052*p ^37*q^376+586378*p^35*q^378+21832*p^33*q^380+104*p^31*q^382+1472*p^48*q^364+ 40390*p^46*q^366+1340272*p^44*q^368+24842410*p^42*q^370+125305989*p^40*q^372+ 50805020*p^38*q^374+3187516*p^36*q^376+119076*p^34*q^378+1300*p^32*q^380+36*p^ 49*q^362+5188*p^47*q^364+236938*p^45*q^366+5679774*p^43*q^368+68170292*p^41*q^ 370+112710038*p^39*q^372+16131498*p^37*q^374+740600*p^35*q^376+29634*p^33*q^378 +300*p^31*q^380+1188*p^48*q^362+33270*p^46*q^364+1065088*p^44*q^366+20741222*p^ 42*q^368+119592104*p^40*q^370+57981744*p^38*q^372+4010030*p^36*q^374+156020*p^ 34*q^376+3452*p^32*q^378+4*p^30*q^380+4286*p^47*q^362+170728*p^45*q^364+4602431 *p^43*q^366+59921208*p^41*q^368+118642620*p^39*q^370+19223624*p^37*q^372+895046 *p^35*q^374+35194*p^33*q^376+60*p^31*q^378+676*p^48*q^360+24394*p^46*q^362+ 876564*p^44*q^364+17427338*p^42*q^366+113692096*p^40*q^368+64605642*p^38*q^370+ 4810328*p^36*q^372+187144*p^34*q^374+5594*p^32*q^376+24*p^30*q^378+12*p^49*q^ 358+5032*p^47*q^360+152432*p^45*q^362+3795148*p^43*q^364+52166896*p^41*q^366+ 121165256*p^39*q^368+22671534*p^37*q^370+1106278*p^35*q^372+42547*p^33*q^374+ 330*p^31*q^376+72*p^48*q^358+16318*p^46*q^360+675996*p^44*q^362+14349387*p^42*q ^364+105736534*p^40*q^366+72539314*p^38*q^368+5977866*p^36*q^370+244462*p^34*q^ 372+9080*p^32*q^374+8*p^49*q^356+4492*p^47*q^358+117296*p^45*q^360+3082828*p^43 *q^362+45197148*p^41*q^364+124249062*p^39*q^366+26693520*p^37*q^368+1324730*p^ 35*q^370+50284*p^33*q^372+636*p^31*q^374+196*p^48*q^356+14904*p^46*q^358+570881 *p^44*q^360+12021540*p^42*q^362+97429959*p^40*q^364+79572326*p^38*q^366+7232186 *p^36*q^368+300338*p^34*q^370+10695*p^32*q^372+12*p^30*q^374+4*p^49*q^354+1828* p^47*q^356+83006*p^45*q^358+2474386*p^43*q^360+38773385*p^41*q^362+123909404*p^ 39*q^364+31066766*p^37*q^366+1644046*p^35*q^368+63599*p^33*q^370+1464*p^31*q^ 372+92*p^48*q^354+17078*p^46*q^356+475176*p^44*q^358+10031750*p^42*q^360+ 89266562*p^40*q^362+86462746*p^38*q^364+8754266*p^36*q^366+359354*p^34*q^368+ 13168*p^32*q^370+60*p^30*q^372+2*p^51*q^350+8*p^49*q^352+1472*p^47*q^354+59508* p^45*q^356+1978180*p^43*q^358+32827138*p^41*q^360+123589534*p^39*q^362+36289182 *p^37*q^364+2085233*p^35*q^366+87440*p^33*q^368+2424*p^31*q^370+56*p^48*q^352+ 11908*p^46*q^354+363800*p^44*q^356+8237976*p^42*q^358+81239002*p^40*q^360+ 93892474*p^38*q^362+10472158*p^36*q^364+423306*p^34*q^366+15048*p^32*q^368+84*p ^30*q^370+884*p^47*q^352+56506*p^45*q^354+1667678*p^43*q^356+28234039*p^41*q^ 358+119689934*p^39*q^360+41293393*p^37*q^362+2512800*p^35*q^364+98238*p^33*q^ 366+2586*p^31*q^368+4*p^29*q^370+24*p^50*q^348+116*p^48*q^350+8960*p^46*q^352+ 282794*p^44*q^354+6643288*p^42*q^356+71793458*p^40*q^358+99961423*p^38*q^360+ 12757084*p^36*q^362+559611*p^34*q^364+27258*p^32*q^366+458*p^30*q^368+416*p^47* q^350+44880*p^45*q^352+1340232*p^43*q^354+23724038*p^41*q^356+117456111*p^39*q^ 358+47438762*p^37*q^360+3049838*p^35*q^362+112988*p^33*q^364+2510*p^31*q^366+20 *p^48*q^348+6686*p^46*q^350+219784*p^44*q^352+5509042*p^42*q^354+64158098*p^40* q^356+104861106*p^38*q^358+15063650*p^36*q^360+680880*p^34*q^362+28986*p^32*q^ 364+276*p^30*q^366+112*p^49*q^346+748*p^47*q^348+40564*p^45*q^350+1121366*p^43* q^352+20032394*p^41*q^354+111317764*p^39*q^356+53771191*p^37*q^358+3791768*p^35 *q^360+135366*p^33*q^362+6920*p^31*q^364+44*p^29*q^366+2912*p^46*q^348+166204*p ^44*q^350+4443552*p^42*q^352+55937978*p^40*q^354+109247589*p^38*q^356+17951210* p^36*q^358+857342*p^34*q^360+35682*p^32*q^362+264*p^30*q^364+40*p^49*q^344+466* p^47*q^346+33592*p^45*q^348+874518*p^43*q^350+16755414*p^41*q^352+105755427*p^ 39*q^354+60273848*p^37*q^356+4597529*p^35*q^358+169610*p^33*q^360+8736*p^31*q^ 362+10*p^29*q^364+264*p^48*q^344+3380*p^46*q^346+145636*p^44*q^348+3736134*p^42 *q^350+49090039*p^40*q^352+112263910*p^38*q^354+21158994*p^36*q^356+1038462*p^ 34*q^358+38151*p^32*q^360+1012*p^30*q^362+44*p^47*q^344+19842*p^45*q^346+670350 *p^43*q^348+13781456*p^41*q^350+98192052*p^39*q^352+66944374*p^37*q^354+5613940 *p^35*q^356+222444*p^33*q^358+10710*p^31*q^360+10*p^29*q^362+356*p^48*q^342+ 3592*p^46*q^344+130840*p^44*q^346+3097569*p^42*q^348+42716928*p^40*q^350+ 113893839*p^38*q^352+24717674*p^36*q^354+1278352*p^34*q^356+38242*p^32*q^358+ 2230*p^30*q^360+418*p^47*q^342+15122*p^45*q^344+533324*p^43*q^346+11324878*p^41 *q^348+90431074*p^39*q^350+73640758*p^37*q^352+6886622*p^35*q^354+292086*p^33*q ^356+16112*p^31*q^358+56*p^29*q^360+32*p^48*q^340+1204*p^46*q^342+95228*p^44*q^ 344+2463796*p^42*q^346+36809862*p^40*q^348+115728058*p^38*q^350+28876090*p^36*q ^352+1535552*p^34*q^354+46741*p^32*q^356+1950*p^30*q^358+1188*p^47*q^340+16004* p^45*q^342+464924*p^43*q^344+9671157*p^41*q^346+82357358*p^39*q^348+79480276*p^ 37*q^350+8161818*p^35*q^352+344602*p^33*q^354+11700*p^31*q^356+404*p^29*q^358+ 34*p^48*q^338+1126*p^46*q^340+71340*p^44*q^342+1952225*p^42*q^344+30793104*p^40 *q^346+113232887*p^38*q^348+33874148*p^36*q^350+2008838*p^34*q^352+72770*p^32*q ^354+5723*p^30*q^356+500*p^47*q^338+10358*p^45*q^340+360874*p^43*q^342+7932612* p^41*q^344+75354987*p^39*q^346+86110496*p^37*q^348+9801567*p^35*q^350+412050*p^ 33*q^352+10404*p^31*q^354+124*p^29*q^356+2188*p^46*q^338+60520*p^44*q^340+ 1628398*p^42*q^342+26536505*p^40*q^344+110666372*p^38*q^346+38276431*p^36*q^348 +2369022*p^34*q^350+90700*p^32*q^352+5578*p^30*q^354+32*p^28*q^356+370*p^47*q^ 336+6846*p^45*q^338+297618*p^43*q^340+6484858*p^41*q^342+67068290*p^39*q^344+ 91804354*p^37*q^346+11841444*p^35*q^348+541528*p^33*q^350+13468*p^31*q^352+1117 *p^29*q^354+2328*p^46*q^336+48708*p^44*q^338+1286634*p^42*q^340+22348320*p^40*q ^342+107085240*p^38*q^344+43751276*p^36*q^346+2919940*p^34*q^348+108142*p^32*q^ 350+4710*p^30*q^352+89*p^47*q^334+5560*p^45*q^336+230800*p^43*q^338+5328360*p^ 41*q^340+59241749*p^39*q^342+96722962*p^37*q^344+14110196*p^35*q^346+659802*p^ 33*q^348+20087*p^31*q^350+1952*p^29*q^352+2*p^48*q^332+1968*p^46*q^334+38494*p^ 44*q^336+1076964*p^42*q^338+18844642*p^40*q^340+102921046*p^38*q^342+49260728*p ^36*q^344+3520014*p^34*q^346+143940*p^32*q^348+3276*p^30*q^350+86*p^28*q^352+ 5662*p^45*q^334+185176*p^43*q^336+4352210*p^41*q^338+52067000*p^39*q^340+ 99946753*p^37*q^342+16726082*p^35*q^344+794303*p^33*q^346+24384*p^31*q^348+2196 *p^29*q^350+8*p^48*q^330+1231*p^46*q^332+27948*p^44*q^334+864990*p^42*q^336+ 15752602*p^40*q^338+96298360*p^38*q^340+55508282*p^36*q^342+4341987*p^34*q^344+ 183944*p^32*q^346+3109*p^30*q^348+386*p^28*q^350+48*p^47*q^330+6682*p^45*q^332+ 154958*p^43*q^334+3559688*p^41*q^336+45417428*p^39*q^338+102645192*p^37*q^340+ 19711283*p^35*q^342+973174*p^33*q^344+34196*p^31*q^346+2224*p^29*q^348+132*p^46 *q^330+17854*p^44*q^332+669094*p^42*q^334+13157408*p^40*q^336+90507150*p^38*q^ 338+61318873*p^36*q^340+5271584*p^34*q^342+221514*p^32*q^344+4496*p^30*q^346+ 502*p^28*q^348+88*p^47*q^328+6777*p^45*q^330+130056*p^43*q^332+2996044*p^41*q^ 334+39609476*p^39*q^336+104239083*p^37*q^338+22761674*p^35*q^340+1184202*p^33*q ^342+44496*p^31*q^344+580*p^29*q^346+36*p^27*q^348+440*p^46*q^328+18644*p^44*q^ 330+551228*p^42*q^332+10803244*p^40*q^334+82319533*p^38*q^336+67490892*p^36*q^ 338+6495040*p^34*q^340+275514*p^32*q^342+6176*p^30*q^344+1282*p^28*q^346+8*p^47 *q^326+2344*p^45*q^328+86300*p^43*q^330+2319124*p^41*q^332+33873039*p^39*q^334+ 105184166*p^37*q^336+26794045*p^35*q^338+1487978*p^33*q^340+63494*p^31*q^342+ 524*p^29*q^344+36*p^27*q^346+432*p^46*q^326+22168*p^44*q^328+474102*p^42*q^330+ 9176298*p^40*q^332+76126442*p^38*q^334+72363829*p^36*q^336+7577602*p^34*q^338+ 300040*p^32*q^340+7908*p^30*q^342+416*p^28*q^344+8*p^47*q^324+2332*p^45*q^326+ 68768*p^43*q^328+1918672*p^41*q^330+28749214*p^39*q^332+102831887*p^37*q^334+ 31086662*p^35*q^336+1869599*p^33*q^338+86392*p^31*q^340+964*p^29*q^342+368*p^27 *q^344+202*p^46*q^324+14852*p^44*q^326+365992*p^42*q^328+7467150*p^40*q^330+ 68480445*p^38*q^332+79110708*p^36*q^334+9122148*p^34*q^336+376560*p^32*q^338+ 13226*p^30*q^340+20*p^28*q^342+1852*p^45*q^324+63761*p^43*q^326+1564312*p^41*q^ 328+24615500*p^39*q^330+100847744*p^37*q^332+35126942*p^35*q^334+2303830*p^33*q ^336+89678*p^31*q^338+850*p^29*q^340+303*p^27*q^342+112*p^46*q^322+10574*p^44*q ^324+282728*p^42*q^326+6160110*p^40*q^328+61073542*p^38*q^330+83383359*p^36*q^ 332+11112510*p^34*q^334+479772*p^32*q^336+23514*p^30*q^338+112*p^28*q^340+40*p^ 26*q^342+1376*p^45*q^322+55822*p^43*q^324+1294770*p^41*q^326+20847788*p^39*q^ 328+97468331*p^37*q^330+39970688*p^35*q^332+2701884*p^33*q^334+100018*p^31*q^ 336+1448*p^29*q^338+66*p^46*q^320+8994*p^44*q^322+229922*p^42*q^324+5027696*p^ 40*q^326+54133346*p^38*q^328+87321056*p^36*q^330+13124560*p^34*q^332+638378*p^ 32*q^334+29216*p^30*q^336+64*p^28*q^338+123*p^26*q^340+976*p^45*q^320+44107*p^ 43*q^322+1030572*p^41*q^324+17480221*p^39*q^326+92606514*p^37*q^328+45470228*p^ 35*q^330+3350708*p^33*q^332+111630*p^31*q^334+4580*p^29*q^336+4*p^27*q^338+5376 *p^44*q^320+183004*p^42*q^322+4142368*p^40*q^324+47809240*p^38*q^326+90957494*p ^36*q^328+15315400*p^34*q^330+765698*p^32*q^332+35912*p^30*q^334+44*p^28*q^336+ 864*p^45*q^318+38492*p^43*q^320+851285*p^41*q^322+14727026*p^39*q^324+87532252* p^37*q^326+50007006*p^35*q^328+4052061*p^33*q^330+145630*p^31*q^332+6216*p^29*q ^334+4*p^27*q^336+25*p^25*q^338+12*p^46*q^316+5484*p^44*q^318+157632*p^42*q^320 +3386760*p^40*q^322+41240672*p^38*q^324+93110548*p^36*q^326+18297949*p^34*q^328 +964384*p^32*q^330+36446*p^30*q^332+480*p^28*q^334+108*p^45*q^316+22527*p^43*q^ 318+652106*p^41*q^320+12115882*p^39*q^322+81514392*p^37*q^324+56253862*p^35*q^ 326+4919566*p^33*q^328+187458*p^31*q^330+10440*p^29*q^332+8*p^46*q^314+5018*p^ 44*q^316+141560*p^42*q^318+2825715*p^40*q^320+36341468*p^38*q^322+93828826*p^36 *q^324+21010500*p^34*q^326+1152054*p^32*q^328+30456*p^30*q^330+928*p^28*q^332+2 *p^24*q^336+180*p^45*q^314+21162*p^43*q^316+535467*p^41*q^318+10173952*p^39*q^ 320+74356289*p^37*q^322+60846704*p^35*q^324+5987287*p^33*q^326+259374*p^31*q^ 328+15736*p^29*q^330+16*p^27*q^332+4*p^46*q^312+2358*p^44*q^314+98343*p^42*q^ 316+2254280*p^40*q^318+30748800*p^38*q^320+94432436*p^36*q^322+24606337*p^34*q^ 324+1407330*p^32*q^326+37530*p^30*q^328+1368*p^28*q^330+92*p^45*q^312+19606*p^ 43*q^314+462584*p^41*q^316+8462516*p^39*q^318+68726350*p^37*q^320+66138774*p^35 *q^322+7107024*p^33*q^324+327452*p^31*q^326+12908*p^29*q^328+100*p^27*q^330+8*p ^46*q^310+1372*p^44*q^312+77074*p^42*q^314+1811336*p^40*q^316+26399344*p^38*q^ 318+92603588*p^36*q^320+28133244*p^34*q^322+1726384*p^32*q^324+52288*p^30*q^326 +4228*p^28*q^328+56*p^45*q^310+15272*p^43*q^312+374337*p^41*q^314+7000320*p^39* q^316+61704090*p^37*q^318+70979190*p^35*q^320+8620255*p^33*q^322+397454*p^31*q^ 324+8916*p^29*q^326+36*p^27*q^328+878*p^44*q^310+68000*p^42*q^312+1486258*p^40* q^314+22431620*p^38*q^316+90376842*p^36*q^318+32150106*p^34*q^320+2063082*p^32* q^322+80784*p^30*q^324+5684*p^28*q^326+4*p^26*q^328+4*p^47*q^306+128*p^45*q^308 +9336*p^43*q^310+290540*p^41*q^312+5705812*p^39*q^314+54796858*p^37*q^316+ 75439142*p^35*q^318+10252736*p^33*q^320+504848*p^31*q^322+8234*p^29*q^324+540*p ^27*q^326+418*p^44*q^308+55396*p^42*q^310+1235264*p^40*q^312+19070676*p^38*q^ 314+87394765*p^36*q^316+36536016*p^34*q^318+2536674*p^32*q^320+95672*p^30*q^322 +5248*p^28*q^324+20*p^45*q^306+6832*p^43*q^308+243474*p^41*q^310+4741934*p^39*q ^312+48825570*p^37*q^314+78028416*p^35*q^316+12026128*p^33*q^318+573286*p^31*q^ 320+13400*p^29*q^322+1166*p^27*q^324+40*p^46*q^304+924*p^44*q^306+46292*p^42*q^ 308+1008666*p^40*q^310+15913028*p^38*q^312+82667036*p^36*q^314+41096138*p^34*q^ 316+3190096*p^32*q^318+150864*p^30*q^320+2244*p^28*q^322+16*p^26*q^324+2956*p^ 43*q^306+177620*p^41*q^308+3798269*p^39*q^310+42827036*p^37*q^312+81982448*p^35 *q^314+14210812*p^33*q^316+676792*p^31*q^318+17900*p^29*q^320+2324*p^27*q^322+8 *p^46*q^302+436*p^44*q^304+36090*p^42*q^306+845228*p^40*q^308+13569976*p^38*q^ 310+78185329*p^36*q^312+45460460*p^34*q^314+3791922*p^32*q^316+171136*p^30*q^ 318+1284*p^28*q^320+116*p^26*q^322+156*p^45*q^302+4200*p^43*q^304+162369*p^41*q ^306+3167746*p^39*q^308+37146363*p^37*q^310+82585814*p^35*q^312+16667789*p^33*q ^314+852910*p^31*q^316+32360*p^29*q^318+1724*p^27*q^320+56*p^44*q^302+20450*p^ 42*q^304+632004*p^40*q^306+11053176*p^38*q^308+72440306*p^36*q^310+50617727*p^ 34*q^312+4666946*p^32*q^314+206328*p^30*q^316+2788*p^28*q^318+376*p^26*q^320+ 140*p^45*q^300+3544*p^43*q^302+139626*p^41*q^304+2668366*p^39*q^306+32466676*p^ 37*q^308+84196189*p^35*q^310+19211672*p^33*q^312+1033780*p^31*q^314+44974*p^29* q^316+190*p^27*q^318+4*p^25*q^320+360*p^44*q^300+17010*p^42*q^302+521628*p^40*q ^304+9194980*p^38*q^306+66543076*p^36*q^308+54915928*p^34*q^310+5609598*p^32*q^ 312+229794*p^30*q^314+4094*p^28*q^316+884*p^26*q^318+14*p^45*q^298+1292*p^43*q^ 300+100362*p^41*q^302+2152074*p^39*q^304+27886900*p^37*q^306+83646246*p^35*q^ 308+22405527*p^33*q^310+1306558*p^31*q^312+60878*p^29*q^314+306*p^27*q^316+12*p ^25*q^318+728*p^44*q^298+17112*p^42*q^300+449700*p^40*q^302+7727046*p^38*q^304+ 60330454*p^36*q^306+59068527*p^34*q^308+6660242*p^32*q^310+265488*p^30*q^312+ 8060*p^28*q^314+224*p^26*q^316+12*p^45*q^296+1096*p^43*q^298+72300*p^41*q^300+ 1695660*p^39*q^302+23570936*p^37*q^304+82674254*p^35*q^306+25844806*p^33*q^308+ 1682037*p^31*q^310+81002*p^29*q^312+398*p^27*q^314+188*p^25*q^316+284*p^44*q^ 296+10208*p^42*q^298+362731*p^40*q^300+6450250*p^38*q^302+54928225*p^36*q^304+ 63328454*p^34*q^306+7764236*p^32*q^308+306324*p^30*q^310+11318*p^28*q^312+8*p^ 26*q^314+1900*p^43*q^296+66141*p^41*q^298+1437168*p^39*q^300+20152756*p^37*q^ 302+79789658*p^35*q^304+29121492*p^33*q^306+2066170*p^31*q^308+80976*p^29*q^310 +856*p^27*q^312+144*p^25*q^314+208*p^44*q^294+7040*p^42*q^296+283514*p^40*q^298 +5197687*p^38*q^300+48661968*p^36*q^302+66951299*p^34*q^304+9522190*p^32*q^306+ 415273*p^30*q^308+24180*p^28*q^310+52*p^26*q^312+12*p^24*q^314+1748*p^43*q^294+ 47848*p^41*q^296+1142801*p^39*q^298+17000724*p^37*q^300+77220617*p^35*q^302+ 32892998*p^33*q^304+2384103*p^31*q^306+83246*p^29*q^308+1014*p^27*q^310+36*p^44 *q^292+5380*p^42*q^294+233931*p^40*q^296+4398996*p^38*q^298+43189644*p^36*q^300 +70221606*p^34*q^302+11087532*p^32*q^304+560866*p^30*q^306+26594*p^28*q^308+48* p^26*q^310+40*p^24*q^312+2*p^45*q^290+1512*p^43*q^292+39530*p^41*q^294+963244*p ^39*q^296+14294215*p^37*q^298+72728164*p^35*q^300+36789786*p^33*q^302+2950678*p ^31*q^304+86900*p^29*q^306+4288*p^27*q^308+4*p^25*q^310+5392*p^42*q^292+178944* p^40*q^294+3518146*p^38*q^296+37695062*p^36*q^298+72074221*p^34*q^300+13162086* p^32*q^302+697836*p^30*q^304+32924*p^28*q^306+44*p^26*q^308+8*p^45*q^288+724*p^ 43*q^290+26012*p^41*q^292+772341*p^39*q^294+12025132*p^37*q^296+68667779*p^35*q ^298+40835026*p^33*q^300+3560074*p^31*q^302+119500*p^29*q^304+5938*p^27*q^306+4 *p^23*q^310+28*p^44*q^288+6256*p^42*q^290+155110*p^40*q^292+2949022*p^38*q^294+ 33102193*p^36*q^296+73440208*p^34*q^298+15113513*p^32*q^300+834404*p^30*q^302+ 27852*p^28*q^304+330*p^26*q^306+84*p^43*q^288+18182*p^41*q^290+606986*p^39*q^ 292+10023880*p^37*q^294+63381058*p^35*q^296+45000488*p^33*q^298+4328048*p^31*q^ 300+165542*p^29*q^302+10112*p^27*q^304+88*p^44*q^286+5136*p^42*q^288+121518*p^ 40*q^290+2432625*p^38*q^292+28377860*p^36*q^294+74184226*p^34*q^296+17559840*p^ 32*q^298+1041988*p^30*q^300+24332*p^28*q^302+878*p^26*q^304+224*p^43*q^286+ 18882*p^41*q^288+504640*p^39*q^290+8279068*p^37*q^292+58421140*p^35*q^294+ 48922928*p^33*q^296+5221597*p^31*q^298+225748*p^29*q^300+12884*p^27*q^302+8*p^ 25*q^304+8*p^44*q^284+1806*p^42*q^286+82314*p^40*q^288+1928302*p^38*q^290+ 24467637*p^36*q^292+73510698*p^34*q^294+20183805*p^32*q^296+1237044*p^30*q^298+ 28296*p^28*q^300+1412*p^26*q^302+420*p^43*q^284+19672*p^41*q^286+439672*p^39*q^ 288+7051787*p^37*q^290+52905616*p^35*q^292+52804101*p^33*q^294+6086368*p^31*q^ 296+277694*p^29*q^298+8836*p^27*q^300+88*p^25*q^302+2*p^46*q^280+8*p^44*q^282+ 1464*p^42*q^284+66520*p^40*q^286+1565016*p^38*q^288+20657304*p^36*q^290+ 71818817*p^34*q^292+23155830*p^32*q^294+1596422*p^30*q^296+48374*p^28*q^298+ 4126*p^26*q^300+196*p^43*q^282+12264*p^41*q^284+324194*p^39*q^286+5745646*p^37* q^288+47771086*p^35*q^290+56399580*p^33*q^292+7379523*p^31*q^294+336794*p^29*q^ 296+7070*p^27*q^298+44*p^25*q^300+1504*p^42*q^282+59424*p^40*q^284+1335252*p^38 *q^286+17870062*p^36*q^288+70081470*p^34*q^290+25873571*p^32*q^292+1827572*p^30 *q^294+63244*p^28*q^296+3472*p^26*q^298+4*p^24*q^300+24*p^45*q^278+104*p^43*q^ 280+8936*p^41*q^282+265006*p^39*q^284+4691482*p^37*q^286+42227360*p^35*q^288+ 58978400*p^33*q^290+8707694*p^31*q^292+454776*p^29*q^294+6674*p^27*q^296+656*p^ 25*q^298+1300*p^42*q^280+48030*p^40*q^282+1069481*p^38*q^284+14974224*p^36*q^ 286+66962031*p^34*q^288+29759788*p^32*q^290+2275389*p^30*q^292+80704*p^28*q^294 +3706*p^26*q^296+48*p^43*q^278+6632*p^41*q^280+202762*p^39*q^282+3847082*p^37*q ^284+37484804*p^35*q^286+61567310*p^33*q^288+10044024*p^31*q^290+520114*p^29*q^ 292+11702*p^27*q^294+928*p^25*q^296+113*p^44*q^276+780*p^42*q^278+40020*p^40*q^ 280+897910*p^38*q^282+12716661*p^36*q^284+63423682*p^34*q^286+32798220*p^32*q^ 288+2794470*p^30*q^290+121194*p^28*q^292+1444*p^26*q^294+30*p^24*q^296+5102*p^ 41*q^278+162058*p^39*q^280+3177738*p^37*q^282+32655184*p^35*q^284+63232952*p^33 *q^286+11805518*p^31*q^288+608922*p^29*q^290+13308*p^27*q^292+1290*p^25*q^294+ 44*p^44*q^274+692*p^42*q^276+30640*p^40*q^278+719857*p^38*q^280+10553874*p^36*q ^282+59303275*p^34*q^284+36551014*p^32*q^286+3360594*p^30*q^288+149938*p^28*q^ 290+1498*p^26*q^292+172*p^24*q^294+272*p^43*q^274+4184*p^41*q^276+135600*p^39*q ^278+2637402*p^37*q^280+28430365*p^35*q^282+64203686*p^33*q^284+13783722*p^31*q ^286+784416*p^29*q^288+25884*p^27*q^290+964*p^25*q^292+76*p^42*q^274+20370*p^40 *q^276+554490*p^38*q^278+8774893*p^36*q^280+55068300*p^34*q^282+39869126*p^32*q ^284+4031920*p^30*q^286+163928*p^28*q^288+1500*p^26*q^290+192*p^24*q^292+400*p^ 43*q^272+4078*p^41*q^274+117876*p^39*q^276+2231001*p^37*q^278+24812382*p^35*q^ 280+63879162*p^33*q^282+15651724*p^31*q^284+949608*p^29*q^286+39630*p^27*q^288+ 150*p^25*q^290+16*p^23*q^292+446*p^42*q^272+17370*p^40*q^274+443570*p^38*q^276+ 7208676*p^36*q^278+49658109*p^34*q^280+43679514*p^32*q^282+4881055*p^30*q^284+ 211720*p^28*q^286+3290*p^26*q^288+416*p^24*q^290+36*p^43*q^270+1740*p^41*q^272+ 81984*p^39*q^274+1767680*p^37*q^276+21245111*p^35*q^278+64363054*p^33*q^280+ 18111673*p^31*q^282+1192230*p^29*q^284+44270*p^27*q^286+140*p^25*q^288+6*p^23*q ^290+1384*p^42*q^270+15816*p^40*q^272+380904*p^38*q^274+6143962*p^36*q^276+ 45477932*p^34*q^278+45774099*p^32*q^280+5615460*p^30*q^282+233618*p^28*q^284+ 7768*p^26*q^286+56*p^24*q^288+36*p^43*q^268+1204*p^41*q^270+66902*p^39*q^272+ 1444716*p^37*q^274+17910478*p^35*q^276+62317906*p^33*q^278+20909396*p^31*q^280+ 1515414*p^29*q^282+59560*p^27*q^284+180*p^25*q^286+90*p^23*q^288+586*p^42*q^268 +11920*p^40*q^270+293500*p^38*q^272+5038218*p^36*q^274+40725352*p^34*q^276+ 49385702*p^32*q^278+6571966*p^30*q^280+298404*p^28*q^282+10264*p^26*q^284+4*p^ 24*q^286+2666*p^41*q^268+54970*p^39*q^270+1167554*p^37*q^272+15254922*p^35*q^ 274+60083932*p^33*q^276+23546446*p^31*q^278+1850742*p^29*q^280+63170*p^27*q^282 +916*p^25*q^284+18*p^23*q^286+4*p^44*q^264+384*p^42*q^266+6897*p^40*q^268+ 237598*p^38*q^270+4219676*p^36*q^272+36325114*p^34*q^274+51627221*p^32*q^276+ 7795318*p^30*q^278+383939*p^28*q^280+15280*p^26*q^282+4*p^24*q^284+8*p^22*q^286 +2776*p^41*q^266+46168*p^39*q^268+951968*p^37*q^270+12883406*p^35*q^272+ 57112224*p^33*q^274+25957616*p^31*q^276+2165745*p^29*q^278+72604*p^27*q^280+ 1532*p^25*q^282+88*p^42*q^264+6390*p^40*q^266+191015*p^38*q^268+3438326*p^36*q^ 270+31866600*p^34*q^272+53696580*p^32*q^274+9277969*p^30*q^276+519890*p^28*q^ 278+17798*p^26*q^280+52*p^24*q^282+2*p^22*q^284+40*p^43*q^262+2092*p^41*q^264+ 35296*p^39*q^266+763220*p^37*q^268+10828550*p^35*q^270+54272420*p^33*q^272+ 29170981*p^31*q^274+2574976*p^29*q^276+84513*p^27*q^278+3406*p^25*q^280+6672*p^ 40*q^264+151052*p^38*q^266+2810395*p^36*q^268+28052754*p^34*q^270+54855684*p^32 *q^272+10685252*p^30*q^274+644008*p^28*q^276+19992*p^26*q^278+96*p^24*q^280+8*p ^43*q^260+1256*p^41*q^262+27146*p^39*q^264+628002*p^37*q^266+9197372*p^35*q^268 +50137393*p^33*q^270+31919002*p^31*q^272+3047096*p^29*q^274+111448*p^27*q^276+ 4026*p^25*q^278+178*p^42*q^260+7158*p^40*q^262+129558*p^38*q^264+2298260*p^36*q ^266+23896456*p^34*q^268+55461238*p^32*q^270+12391109*p^30*q^272+807558*p^28*q^ 274+23528*p^26*q^276+520*p^24*q^278+120*p^41*q^260+18059*p^39*q^262+485688*p^37 *q^264+7545719*p^35*q^266+46823024*p^33*q^268+35336144*p^31*q^270+3685796*p^29* q^272+155021*p^27*q^274+4596*p^25*q^276+136*p^42*q^258+6807*p^40*q^260+107090*p ^38*q^262+1929098*p^36*q^264+21072058*p^34*q^266+54902274*p^32*q^268+14049542*p ^30*q^270+935911*p^28*q^272+19162*p^26*q^274+844*p^24*q^276+630*p^41*q^258+ 17910*p^39*q^260+411766*p^37*q^262+6280986*p^35*q^264+42130137*p^33*q^266+ 37755784*p^31*q^268+4438462*p^29*q^270+214912*p^27*q^272+7956*p^25*q^274+28*p^ 23*q^276+12*p^42*q^256+2328*p^40*q^258+74273*p^38*q^260+1489362*p^36*q^262+ 17908798*p^34*q^264+54520934*p^32*q^266+16227494*p^30*q^268+1141940*p^28*q^270+ 30674*p^26*q^272+640*p^24*q^274+724*p^41*q^256+21288*p^39*q^258+343438*p^37*q^ 260+5316772*p^35*q^262+38201516*p^33*q^264+40680995*p^31*q^266+5098104*p^29*q^ 268+265702*p^27*q^270+4922*p^25*q^272+172*p^23*q^274+8*p^42*q^254+2366*p^40*q^ 256+54792*p^38*q^258+1236080*p^36*q^260+15142352*p^34*q^262+53214032*p^32*q^264 +18289802*p^30*q^266+1410160*p^28*q^268+44144*p^26*q^270+1780*p^24*q^272+256*p^ 41*q^254+14240*p^39*q^256+277817*p^37*q^258+4339544*p^35*q^260+34418687*p^33*q^ 262+42389864*p^31*q^264+6108709*p^29*q^266+322064*p^27*q^268+4892*p^25*q^270+36 *p^23*q^272+2380*p^40*q^254+54032*p^38*q^256+1018236*p^36*q^258+12848867*p^34*q ^260+50535850*p^32*q^262+20753377*p^30*q^264+1631612*p^28*q^266+64074*p^26*q^ 268+2056*p^24*q^270+16*p^22*q^272+2*p^43*q^250+144*p^41*q^252+9616*p^39*q^254+ 202376*p^37*q^256+3504920*p^35*q^258+30342262*p^33*q^260+45078154*p^31*q^262+ 7087150*p^29*q^264+424213*p^27*q^266+7802*p^25*q^268+208*p^23*q^270+1644*p^40*q ^252+48018*p^38*q^254+856182*p^36*q^256+11022076*p^34*q^258+48544799*p^32*q^260 +23008034*p^30*q^262+1984930*p^28*q^264+70826*p^26*q^266+974*p^24*q^268+44*p^41 *q^250+8942*p^39*q^252+165327*p^37*q^254+2916896*p^35*q^256+26516912*p^33*q^258 +45690964*p^31*q^260+8254947*p^29*q^262+491378*p^27*q^264+12604*p^25*q^266+536* p^23*q^268+20*p^42*q^248+1182*p^40*q^250+36848*p^38*q^252+680196*p^36*q^254+ 9122482*p^34*q^256+45287130*p^32*q^258+25645781*p^30*q^260+2449992*p^28*q^262+ 112810*p^26*q^264+1184*p^24*q^266+12*p^22*q^268+5434*p^39*q^250+134794*p^37*q^ 252+2367278*p^35*q^254+23205696*p^33*q^256+47029739*p^31*q^258+9505560*p^29*q^ 260+581503*p^27*q^262+14020*p^25*q^264+340*p^23*q^266+4*p^42*q^246+688*p^40*q^ 248+33044*p^38*q^250+543431*p^36*q^252+7722020*p^34*q^254+42453520*p^32*q^256+ 28046286*p^30*q^258+2836841*p^28*q^260+138718*p^26*q^262+1660*p^24*q^264+68*p^ 22*q^266+82*p^41*q^246+5782*p^39*q^248+117314*p^37*q^250+2001120*p^35*q^252+ 20084337*p^33*q^254+46578588*p^31*q^256+10960518*p^29*q^258+729944*p^27*q^260+ 21001*p^25*q^262+184*p^23*q^264+92*p^40*q^246+19810*p^38*q^248+418612*p^36*q^ 250+6230371*p^34*q^252+38634442*p^32*q^254+30834916*p^30*q^256+3426922*p^28*q^ 258+167445*p^26*q^260+3408*p^24*q^262+80*p^22*q^264+68*p^41*q^244+4352*p^39*q^ 246+102756*p^37*q^248+1626067*p^35*q^250+17488228*p^33*q^252+46974971*p^31*q^ 254+12393666*p^29*q^256+871393*p^27*q^258+31476*p^25*q^260+84*p^23*q^262+4*p^21 *q^264+248*p^40*q^244+18826*p^38*q^246+348576*p^36*q^248+5286556*p^34*q^250+ 34865503*p^32*q^252+32822760*p^30*q^254+3989499*p^28*q^256+200944*p^26*q^258+ 2871*p^24*q^260+36*p^22*q^262+6*p^41*q^242+1760*p^39*q^244+76810*p^37*q^246+ 1307898*p^35*q^248+14787109*p^33*q^250+46093554*p^31*q^252+14384894*p^29*q^254+ 1108740*p^27*q^256+42157*p^25*q^258+580*p^23*q^260+8*p^21*q^262+364*p^40*q^242+ 16678*p^38*q^244+298422*p^36*q^246+4380346*p^34*q^248+31537760*p^32*q^250+ 34441530*p^30*q^252+4625964*p^28*q^254+235030*p^26*q^256+5152*p^24*q^258+2*p^43 *q^238+4*p^41*q^240+1168*p^39*q^242+59000*p^37*q^244+1026215*p^35*q^246+ 12540790*p^33*q^248+44280489*p^31*q^250+16420392*p^29*q^252+1349959*p^27*q^254+ 57244*p^25*q^256+717*p^23*q^258+4*p^21*q^260+128*p^40*q^240+11380*p^38*q^242+ 241231*p^36*q^244+3660246*p^34*q^246+28364142*p^32*q^248+36870834*p^30*q^250+ 5270293*p^28*q^252+294488*p^26*q^254+7132*p^24*q^256+32*p^22*q^258+1192*p^39*q^ 240+52178*p^37*q^242+873498*p^35*q^244+10628191*p^33*q^246+42257230*p^31*q^248+ 17987574*p^29*q^250+1591760*p^27*q^252+60406*p^25*q^254+548*p^23*q^256+24*p^42* q^236+84*p^40*q^238+7206*p^38*q^240+192920*p^36*q^242+2910171*p^34*q^244+ 24773428*p^32*q^246+38123300*p^30*q^248+6439390*p^28*q^250+405073*p^26*q^252+ 14468*p^24*q^254+188*p^22*q^256+832*p^39*q^238+39800*p^37*q^240+695550*p^35*q^ 242+8923142*p^33*q^244+40215982*p^31*q^246+20199334*p^29*q^248+1825763*p^27*q^ 250+70306*p^25*q^252+618*p^23*q^254+20*p^40*q^236+4986*p^38*q^238+163774*p^36*q ^240+2439942*p^34*q^242+21941232*p^32*q^244+39023106*p^30*q^246+7231270*p^28*q^ 248+492848*p^26*q^250+15162*p^24*q^252+28*p^22*q^254+112*p^41*q^234+680*p^39*q^ 236+33376*p^37*q^238+577634*p^35*q^240+7506076*p^33*q^242+37120226*p^31*q^244+ 22275012*p^29*q^246+2188690*p^27*q^248+93988*p^25*q^250+2556*p^23*q^252+20*p^21 *q^254+3192*p^38*q^236+117998*p^36*q^238+1973382*p^34*q^240+18790020*p^32*q^242 +39673803*p^30*q^244+8550644*p^28*q^246+614004*p^26*q^248+17892*p^24*q^250+22*p ^22*q^252+40*p^41*q^232+350*p^39*q^234+23480*p^37*q^236+488046*p^35*q^238+ 6250318*p^33*q^240+34822011*p^31*q^242+24232024*p^29*q^244+2535036*p^27*q^246+ 125450*p^25*q^248+3296*p^23*q^250+260*p^40*q^232+3220*p^38*q^234+105333*p^36*q^ 236+1612012*p^34*q^238+16372178*p^32*q^240+39271872*p^30*q^242+9611252*p^28*q^ 244+725048*p^26*q^246+19833*p^24*q^248+236*p^22*q^250+56*p^39*q^232+14178*p^37* q^234+372690*p^35*q^236+5199321*p^33*q^238+31553010*p^31*q^240+26519457*p^29*q^ 242+3019990*p^27*q^244+169378*p^25*q^246+3844*p^23*q^248+356*p^40*q^230+2512*p^ 38*q^232+87832*p^36*q^234+1345884*p^34*q^236+13987930*p^32*q^238+38874866*p^30* q^240+11050050*p^28*q^242+850428*p^26*q^244+24676*p^24*q^246+606*p^22*q^248+358 *p^39*q^230+11358*p^37*q^232+297638*p^35*q^234+4228500*p^33*q^236+28482510*p^31 *q^238+28267026*p^29*q^240+3546220*p^27*q^242+232368*p^25*q^244+5738*p^23*q^246 +8*p^21*q^248+32*p^40*q^228+984*p^38*q^230+60738*p^36*q^232+1110172*p^34*q^234+ 12036194*p^32*q^236+38167096*p^30*q^238+12440982*p^28*q^240+983964*p^26*q^242+ 31606*p^24*q^244+456*p^22*q^246+1180*p^39*q^228+10818*p^37*q^230+261176*p^35*q^ 232+3551638*p^33*q^234+25427194*p^31*q^236+29586286*p^29*q^238+4091372*p^27*q^ 240+266152*p^25*q^242+4212*p^23*q^244+78*p^21*q^246+p^42*q^224+32*p^40*q^226+ 748*p^38*q^228+43140*p^36*q^230+866392*p^34*q^232+9987948*p^32*q^234+36496593*p ^30*q^236+14339248*p^28*q^238+1214072*p^26*q^240+58560*p^24*q^242+1441*p^22*q^ 244+488*p^39*q^226+6866*p^37*q^228+200464*p^35*q^230+2936646*p^33*q^232+ 22824036*p^31*q^234+31205048*p^29*q^236+4786275*p^27*q^238+317510*p^25*q^240+ 3818*p^23*q^242+16*p^21*q^244+2000*p^38*q^226+36884*p^36*q^228+730124*p^34*q^ 230+8570863*p^32*q^232+34552296*p^30*q^234+15702076*p^28*q^236+1386632*p^26*q^ 238+74832*p^24*q^240+1132*p^22*q^242+4*p^20*q^244+12*p^41*q^222+340*p^39*q^224+ 4386*p^37*q^226+157660*p^35*q^228+2404642*p^33*q^230+19825036*p^31*q^232+ 32086866*p^29*q^234+5532432*p^27*q^236+391442*p^25*q^238+8950*p^23*q^240+199*p^ 21*q^242+2144*p^38*q^224+27652*p^36*q^226+575935*p^34*q^228+7084142*p^32*q^230+ 32559340*p^30*q^232+17604136*p^28*q^234+1641894*p^26*q^236+93098*p^24*q^238+312 *p^22*q^240+68*p^39*q^222+3492*p^37*q^224+122956*p^35*q^226+1976228*p^33*q^228+ 17419804*p^31*q^230+32821644*p^29*q^232+6502953*p^27*q^234+466328*p^25*q^236+ 16084*p^23*q^238+296*p^21*q^240+56*p^40*q^220+1740*p^38*q^222+22480*p^36*q^224+ 480486*p^34*q^226+5984867*p^32*q^228+30326070*p^30*q^230+19127334*p^28*q^232+ 1885710*p^26*q^234+114808*p^24*q^236+644*p^22*q^238+14*p^20*q^240+4590*p^37*q^ 222+92496*p^35*q^224+1602157*p^33*q^226+14991454*p^31*q^228+32658321*p^29*q^230 +7413690*p^27*q^232+553313*p^25*q^234+22442*p^23*q^236+18*p^21*q^238+20*p^40*q^ 218+968*p^38*q^220+14610*p^36*q^222+379276*p^34*q^224+4963836*p^32*q^226+ 27673957*p^30*q^228+21203046*p^28*q^230+2270680*p^26*q^232+141008*p^24*q^234+ 2056*p^22*q^236+32*p^20*q^238+152*p^39*q^218+5112*p^37*q^220+77968*p^35*q^222+ 1308628*p^33*q^224+12868051*p^31*q^226+32610776*p^29*q^228+8472895*p^27*q^230+ 629488*p^25*q^232+30808*p^23*q^234+12*p^21*q^236+84*p^38*q^218+10262*p^36*q^220 +295778*p^34*q^222+4124777*p^32*q^224+25304726*p^30*q^226+22466157*p^28*q^228+ 2690840*p^26*q^230+182858*p^24*q^232+3696*p^22*q^234+2*p^20*q^236+178*p^39*q^ 216+5084*p^37*q^218+62748*p^35*q^220+1093702*p^33*q^222+11103688*p^31*q^224+ 31765763*p^29*q^226+9594608*p^27*q^228+723882*p^25*q^230+33198*p^23*q^232+112*p ^21*q^234+444*p^38*q^216+10556*p^36*q^218+233132*p^34*q^220+3340872*p^32*q^222+ 22428102*p^30*q^224+23961964*p^28*q^226+3151494*p^26*q^228+221418*p^24*q^230+ 7548*p^22*q^232+16*p^39*q^214+1612*p^37*q^216+40050*p^35*q^218+841928*p^33*q^ 220+9369073*p^31*q^222+31200000*p^29*q^224+11104864*p^27*q^226+866474*p^25*q^ 228+49120*p^23*q^230+324*p^21*q^232+616*p^38*q^214+14108*p^36*q^216+203002*p^34 *q^218+2882047*p^32*q^220+20267344*p^30*q^222+24919949*p^28*q^224+3537196*p^26* q^226+241372*p^24*q^228+6138*p^22*q^230+16*p^39*q^212+1674*p^37*q^214+30580*p^ 35*q^216+685060*p^33*q^218+7768420*p^31*q^220+29266887*p^29*q^222+12311528*p^27 *q^224+1092646*p^25*q^226+70562*p^23*q^228+1344*p^21*q^230+244*p^38*q^212+9014* p^36*q^214+149390*p^34*q^216+2274308*p^32*q^218+17805120*p^30*q^220+26235212*p^ 28*q^222+4236235*p^26*q^224+272622*p^24*q^226+9300*p^22*q^228+8*p^20*q^230+1570 *p^37*q^212+29214*p^35*q^214+562392*p^33*q^216+6675095*p^31*q^218+27765110*p^29 *q^220+13733088*p^27*q^222+1206304*p^25*q^224+82186*p^23*q^226+1256*p^21*q^228+ 168*p^38*q^210+6528*p^36*q^212+115216*p^34*q^214+1854988*p^32*q^216+15542506*p^ 30*q^218+26656142*p^28*q^220+4923060*p^26*q^222+343450*p^24*q^224+16012*p^22*q^ 226+120*p^20*q^228+1140*p^37*q^210+27548*p^35*q^212+455394*p^33*q^214+5617404*p ^31*q^216+25848938*p^29*q^218+15002550*p^27*q^220+1432734*p^25*q^222+90446*p^23 *q^224+920*p^21*q^226+50*p^38*q^208+5716*p^36*q^210+83174*p^34*q^212+1511266*p^ 32*q^214+13324673*p^30*q^216+26941724*p^28*q^218+5691728*p^26*q^220+407946*p^24 *q^222+23480*p^22*q^224+268*p^20*q^226+908*p^37*q^208+21124*p^35*q^210+365688*p ^33*q^212+4579960*p^31*q^214+24082534*p^29*q^216+16638293*p^27*q^218+1704594*p^ 25*q^220+114614*p^23*q^222+2484*p^21*q^224+4*p^19*q^226+3223*p^36*q^208+70630*p ^34*q^210+1228521*p^32*q^212+11712420*p^30*q^214+26708645*p^28*q^216+6461258*p^ 26*q^218+451204*p^24*q^220+26748*p^22*q^222+28*p^20*q^224+650*p^37*q^206+20134* p^35*q^208+289597*p^33*q^210+3818076*p^31*q^212+21675904*p^29*q^214+17805184*p^ 27*q^216+1990753*p^25*q^218+136096*p^23*q^220+4280*p^21*q^222+28*p^19*q^224+12* p^38*q^204+3256*p^36*q^206+58476*p^34*q^208+994538*p^32*q^210+9859993*p^30*q^ 212+26374880*p^28*q^214+7458274*p^26*q^216+564470*p^24*q^218+37196*p^22*q^220+ 228*p^20*q^222+52*p^37*q^204+11452*p^35*q^206+207838*p^33*q^208+3115193*p^31*q^ 210+19618484*p^29*q^212+19216379*p^27*q^214+2357416*p^25*q^216+145670*p^23*q^ 218+6796*p^21*q^220+3220*p^36*q^204+55164*p^34*q^206+846680*p^32*q^208+8517926* p^30*q^210+25794566*p^28*q^212+8383882*p^26*q^214+625784*p^24*q^216+45168*p^22* q^218+392*p^20*q^220+148*p^37*q^202+10020*p^35*q^204+170296*p^33*q^206+2541128* p^31*q^208+17357097*p^29*q^210+19835476*p^27*q^212+2776862*p^25*q^214+181350*p^ 23*q^216+8366*p^21*q^218+8*p^19*q^220+1204*p^36*q^202+39802*p^34*q^204+639134*p ^32*q^206+7079564*p^30*q^208+24612174*p^28*q^210+9616050*p^26*q^212+785018*p^24 *q^214+52888*p^22*q^216+1136*p^20*q^218+16*p^37*q^200+9477*p^35*q^202+142208*p^ 33*q^204+2117321*p^31*q^206+15575884*p^29*q^208+20956774*p^27*q^210+3148052*p^ 25*q^212+195179*p^23*q^214+12954*p^21*q^216+16*p^19*q^218+836*p^36*q^200+31664* p^34*q^202+509495*p^32*q^204+5979934*p^30*q^206+23256955*p^28*q^208+10666144*p^ 26*q^210+926744*p^24*q^212+63992*p^22*q^214+1588*p^20*q^216+7030*p^35*q^200+ 114850*p^33*q^202+1737258*p^31*q^204+13532873*p^29*q^206+21458246*p^27*q^208+ 3669362*p^25*q^210+229702*p^23*q^212+15544*p^21*q^214+64*p^19*q^216+360*p^36*q^ 198+26500*p^34*q^200+403322*p^32*q^202+4928556*p^30*q^204+21719292*p^28*q^206+ 11763325*p^26*q^208+1126860*p^24*q^210+66924*p^22*q^212+2486*p^20*q^214+8*p^37* q^196+4118*p^35*q^198+91750*p^33*q^200+1387534*p^31*q^202+11771004*p^29*q^204+ 21978102*p^27*q^206+4311764*p^25*q^208+279432*p^23*q^210+24822*p^21*q^212+308*p ^19*q^214+44*p^36*q^196+21830*p^34*q^198+321854*p^32*q^200+4142864*p^30*q^202+ 20191009*p^28*q^204+12900488*p^26*q^206+1260033*p^24*q^208+69276*p^22*q^210+ 2552*p^20*q^212+8*p^37*q^194+2908*p^35*q^196+78493*p^33*q^198+1140354*p^31*q^ 200+10160706*p^29*q^202+21602284*p^27*q^204+4963802*p^25*q^206+351956*p^23*q^ 208+25476*p^21*q^210+236*p^19*q^212+116*p^36*q^194+16724*p^34*q^196+254246*p^32 *q^198+3369929*p^30*q^200+18238336*p^28*q^202+14130838*p^26*q^204+1490122*p^24* q^206+79132*p^22*q^208+7316*p^20*q^210+32*p^18*q^212+738*p^35*q^194+56956*p^33* q^196+889384*p^31*q^198+8685442*p^29*q^200+21700556*p^27*q^202+5647062*p^25*q^ 204+446428*p^23*q^206+28276*p^21*q^208+212*p^19*q^210+88*p^36*q^192+13008*p^34* q^194+217140*p^32*q^196+2865406*p^30*q^198+16668952*p^28*q^200+14948914*p^26*q^ 202+1705388*p^24*q^204+84888*p^22*q^206+8512*p^20*q^208+4*p^18*q^210+826*p^35*q ^192+51598*p^33*q^194+711050*p^31*q^196+7293169*p^29*q^198+20895040*p^27*q^200+ 6539087*p^25*q^202+514412*p^23*q^204+28598*p^21*q^206+1136*p^19*q^208+8*p^36*q^ 190+6146*p^34*q^192+156794*p^32*q^194+2272480*p^30*q^196+14854998*p^28*q^198+ 15901750*p^26*q^200+2054118*p^24*q^202+126080*p^22*q^204+10792*p^20*q^206+566*p ^35*q^190+43158*p^33*q^192+584901*p^31*q^194+6239582*p^29*q^196+20169480*p^27*q ^198+7364702*p^25*q^200+568826*p^23*q^202+19520*p^21*q^204+2258*p^19*q^206+4264 *p^34*q^190+135798*p^32*q^192+1864334*p^30*q^194+13087260*p^28*q^196+16677928*p ^26*q^198+2352122*p^24*q^200+172968*p^22*q^202+14922*p^20*q^204+64*p^18*q^206+ 244*p^35*q^188+28042*p^33*q^190+453368*p^31*q^192+5212504*p^29*q^194+19132044*p ^27*q^196+8221977*p^25*q^198+681118*p^23*q^200+24824*p^21*q^202+2212*p^19*q^204 +3240*p^34*q^188+116964*p^32*q^190+1510243*p^30*q^192+11458286*p^28*q^194+ 17056024*p^26*q^196+2825086*p^24*q^198+196456*p^22*q^200+9082*p^20*q^202+436*p^ 18*q^204+32*p^35*q^186+17664*p^33*q^188+352238*p^31*q^190+4287880*p^29*q^192+ 17994124*p^27*q^194+9187172*p^25*q^196+787178*p^23*q^198+41184*p^21*q^200+5874* p^19*q^202+1804*p^34*q^186+93516*p^32*q^188+1234824*p^30*q^190+10164671*p^28*q^ 192+17415114*p^26*q^194+3235835*p^24*q^196+226824*p^22*q^198+5384*p^20*q^200+ 140*p^18*q^202+8*p^35*q^184+15396*p^33*q^186+292460*p^31*q^188+3596224*p^29*q^ 190+16344232*p^27*q^192+10037067*p^25*q^194+901144*p^23*q^196+60104*p^21*q^198+ 5604*p^19*q^200+36*p^17*q^202+6*p^36*q^182+757*p^34*q^184+63228*p^32*q^186+ 960982*p^30*q^188+8507814*p^28*q^190+17667754*p^26*q^192+3829870*p^24*q^194+ 285986*p^22*q^196+6362*p^20*q^198+1216*p^18*q^200+8572*p^33*q^184+246554*p^31*q ^186+2926126*p^29*q^188+15381989*p^27*q^190+10882484*p^25*q^192+1074311*p^23*q^ 194+67462*p^21*q^196+3846*p^19*q^198+236*p^34*q^182+52845*p^32*q^184+777368*p^ 30*q^186+7406046*p^28*q^188+17123390*p^26*q^190+4337686*p^24*q^192+292334*p^22* q^194+11948*p^20*q^196+2028*p^18*q^198+66*p^35*q^180+6163*p^33*q^182+199466*p^ 31*q^184+2429752*p^29*q^186+13648210*p^27*q^188+11856737*p^25*q^190+1290074*p^ 23*q^192+96994*p^21*q^194+1524*p^19*q^196+92*p^17*q^198+56*p^34*q^180+34498*p^ 32*q^182+593497*p^30*q^184+6149826*p^28*q^186+16862802*p^26*q^188+4990926*p^24* q^190+343670*p^22*q^192+17516*p^20*q^194+2318*p^18*q^196+2612*p^33*q^180+150664 *p^31*q^182+2000802*p^29*q^184+12378403*p^27*q^186+12537482*p^25*q^188+1558600* p^23*q^190+108094*p^21*q^192+1176*p^19*q^194+408*p^17*q^196+288*p^34*q^178+ 26781*p^32*q^180+519614*p^30*q^182+5214232*p^28*q^184+16204194*p^26*q^186+ 5539862*p^24*q^188+379520*p^22*q^190+22852*p^20*q^192+1644*p^18*q^194+992*p^33* q^178+116408*p^31*q^180+1541501*p^29*q^182+10872540*p^27*q^184+13050446*p^25*q^ 186+1840340*p^23*q^188+129048*p^21*q^190+3340*p^19*q^192+576*p^17*q^194+124*p^ 34*q^176+17520*p^32*q^178+409569*p^30*q^180+4424276*p^28*q^182+15384112*p^26*q^ 184+6387704*p^24*q^186+465888*p^22*q^188+32872*p^20*q^190+150*p^18*q^192+40*p^ 16*q^194+876*p^33*q^176+84342*p^31*q^178+1244532*p^29*q^180+9425350*p^27*q^182+ 13601716*p^25*q^184+2130720*p^23*q^186+131494*p^21*q^188+4168*p^19*q^190+1188*p ^17*q^192+8248*p^32*q^176+330206*p^30*q^178+3680306*p^28*q^180+14681484*p^26*q^ 182+7027093*p^24*q^184+574248*p^22*q^186+43428*p^20*q^188+320*p^18*q^190+40*p^ 16*q^192+1134*p^33*q^174+70786*p^31*q^176+1036328*p^29*q^178+8200222*p^27*q^180 +13518577*p^25*q^182+2428374*p^23*q^184+132508*p^21*q^186+6294*p^19*q^188+252*p ^17*q^190+4696*p^32*q^174+243425*p^30*q^176+2932870*p^28*q^178+13306694*p^26*q^ 180+8010442*p^24*q^182+727843*p^22*q^184+58384*p^20*q^186+780*p^18*q^188+382*p^ 16*q^190+106*p^33*q^172+42724*p^31*q^174+828558*p^29*q^176+7146110*p^27*q^178+ 13967696*p^25*q^180+2806548*p^23*q^182+155254*p^21*q^184+8912*p^19*q^186+8*p^17 *q^188+4672*p^32*q^172+204608*p^30*q^174+2451664*p^28*q^176+12315190*p^26*q^178 +8349994*p^24*q^180+850108*p^22*q^182+50852*p^20*q^184+588*p^18*q^186+240*p^16* q^188+110*p^33*q^170+28194*p^31*q^172+660330*p^29*q^174+6016594*p^27*q^176+ 13529930*p^25*q^178+3350402*p^23*q^180+193532*p^21*q^182+19304*p^19*q^184+104*p ^17*q^186+44*p^15*q^188+1832*p^32*q^170+148360*p^30*q^172+1961274*p^28*q^174+ 11035878*p^26*q^176+9281324*p^24*q^178+965361*p^22*q^180+55800*p^20*q^182+956*p ^18*q^184+16*p^33*q^168+17864*p^31*q^170+527874*p^29*q^172+5135970*p^27*q^174+ 13476624*p^25*q^176+3777506*p^23*q^178+262218*p^21*q^180+20032*p^19*q^182+16*p^ 17*q^184+110*p^15*q^186+1136*p^32*q^168+113024*p^30*q^170+1611508*p^28*q^172+ 9876144*p^26*q^174+9651749*p^24*q^176+1145378*p^22*q^178+45963*p^20*q^180+3680* p^18*q^182+4*p^16*q^184+8*p^33*q^166+11484*p^31*q^168+417901*p^29*q^170+4256590 *p^27*q^172+12917375*p^25*q^174+4316796*p^23*q^176+321823*p^21*q^178+25136*p^19 *q^180+28*p^17*q^182+426*p^32*q^166+78314*p^30*q^168+1278642*p^28*q^170+8683723 *p^26*q^172+10119320*p^24*q^174+1339866*p^22*q^176+59464*p^20*q^178+5376*p^18*q ^180+24*p^14*q^184+6548*p^31*q^166+319496*p^29*q^168+3540683*p^27*q^170+ 12254166*p^25*q^172+5001273*p^23*q^174+375954*p^21*q^176+23349*p^19*q^178+328*p ^17*q^180+108*p^32*q^164+49632*p^30*q^166+1070820*p^28*q^168+7689776*p^26*q^170 +10572220*p^24*q^172+1532436*p^22*q^174+83414*p^20*q^176+6960*p^18*q^178+4476*p ^31*q^164+263112*p^29*q^166+2886110*p^27*q^168+11369723*p^25*q^170+5371406*p^23 *q^172+451810*p^21*q^174+14640*p^19*q^176+1040*p^17*q^178+2*p^13*q^182+92*p^32* q^162+30834*p^30*q^164+805138*p^28*q^166+6588459*p^26*q^168+10762716*p^24*q^170 +1896343*p^22*q^172+115330*p^20*q^174+12368*p^18*q^176+8*p^16*q^178+1128*p^31*q ^162+182294*p^29*q^164+2404395*p^27*q^166+10610982*p^25*q^168+6069227*p^23*q^ 170+496644*p^21*q^172+15838*p^19*q^174+760*p^17*q^176+23718*p^30*q^162+676186*p ^28*q^164+5685978*p^26*q^166+10820549*p^24*q^168+2148742*p^22*q^170+138002*p^20 *q^172+8832*p^18*q^174+112*p^16*q^176+1264*p^31*q^160+125974*p^29*q^162+1933710 *p^27*q^164+9599064*p^25*q^166+6491040*p^23*q^168+603743*p^21*q^170+25778*p^19* q^172+3308*p^17*q^174+10662*p^30*q^160+528332*p^28*q^162+4712159*p^26*q^164+ 10739830*p^24*q^166+2573800*p^22*q^168+168852*p^20*q^170+6088*p^18*q^172+16*p^ 16*q^174+160*p^31*q^158+89956*p^29*q^160+1565582*p^27*q^162+8799846*p^25*q^164+ 7105361*p^23*q^166+683072*p^21*q^168+34162*p^19*q^170+4164*p^17*q^172+4*p^15*q^ 174+8*p^32*q^156+7848*p^30*q^158+402253*p^28*q^160+4044300*p^26*q^162+10334805* p^24*q^164+2899496*p^22*q^166+199935*p^20*q^168+4016*p^18*q^170+372*p^16*q^172+ 20*p^31*q^156+58742*p^29*q^158+1274358*p^27*q^160+7715616*p^25*q^162+7541048*p^ 23*q^164+853804*p^21*q^166+44774*p^19*q^168+4242*p^17*q^170+6*p^32*q^154+3314*p ^30*q^156+292604*p^28*q^158+3322573*p^26*q^160+9991082*p^24*q^162+3308134*p^22* q^164+227018*p^20*q^166+6686*p^18*q^168+968*p^16*q^170+88*p^31*q^154+36776*p^29 *q^156+1023298*p^27*q^158+6792102*p^25*q^160+7968771*p^23*q^162+1003434*p^21*q^ 164+62928*p^19*q^166+2130*p^17*q^168+8*p^15*q^170+648*p^30*q^154+216922*p^28*q^ 156+2753228*p^26*q^158+9579321*p^24*q^160+3716726*p^22*q^162+245197*p^20*q^164+ 7868*p^18*q^166+1492*p^16*q^168+112*p^31*q^152+25772*p^29*q^154+812810*p^27*q^ 156+5950962*p^25*q^158+8029744*p^23*q^160+1214503*p^21*q^162+77676*p^19*q^164+ 902*p^17*q^166+116*p^15*q^168+704*p^30*q^152+144390*p^28*q^154+2210312*p^26*q^ 156+8774946*p^24*q^158+4268801*p^22*q^160+297694*p^20*q^162+14023*p^18*q^164+ 1864*p^16*q^166+8030*p^29*q^152+611084*p^27*q^154+5148592*p^25*q^156+8428538*p^ 23*q^158+1408312*p^21*q^160+88734*p^19*q^162+1228*p^17*q^164+180*p^15*q^166+838 *p^30*q^150+114303*p^28*q^152+1904500*p^26*q^154+8120458*p^24*q^156+4561554*p^ 22*q^158+348456*p^20*q^160+18612*p^18*q^162+316*p^16*q^164+4*p^14*q^166+5702*p^ 29*q^150+457962*p^27*q^152+4212823*p^25*q^154+8280948*p^23*q^156+1691132*p^21*q ^158+96290*p^19*q^160+1745*p^17*q^162+760*p^15*q^164+168*p^30*q^148+58444*p^28* q^150+1471161*p^26*q^152+7539854*p^24*q^154+5090538*p^22*q^156+449472*p^20*q^ 158+30286*p^18*q^160+164*p^16*q^162+4*p^14*q^164+3700*p^29*q^148+358609*p^27*q^ 150+3661974*p^25*q^152+8130312*p^23*q^154+1915954*p^21*q^156+96568*p^19*q^158+ 2680*p^17*q^160+336*p^15*q^162+20*p^30*q^146+35564*p^28*q^148+1171692*p^26*q^ 150+6644355*p^24*q^152+5519554*p^22*q^154+539864*p^20*q^156+35720*p^18*q^158+ 114*p^16*q^160+120*p^14*q^162+2470*p^29*q^146+253064*p^27*q^148+3071511*p^25*q^ 150+7948724*p^23*q^152+2178777*p^21*q^154+114126*p^19*q^156+6194*p^17*q^158+8*p ^15*q^160+16*p^30*q^144+19640*p^28*q^146+916575*p^26*q^148+5808698*p^24*q^150+ 5788579*p^22*q^152+678984*p^20*q^154+37396*p^18*q^156+220*p^16*q^158+180*p^14*q ^160+3*p^31*q^142+576*p^29*q^144+159812*p^27*q^146+2506370*p^25*q^148+7734246*p ^23*q^150+2582334*p^21*q^152+145054*p^19*q^154+10044*p^17*q^156+4*p^15*q^158+4* p^13*q^160+13696*p^28*q^144+732736*p^26*q^146+5179343*p^24*q^148+6006436*p^22*q ^150+730240*p^20*q^152+36348*p^18*q^154+606*p^16*q^156+324*p^29*q^142+108774*p^ 27*q^144+2033893*p^25*q^146+7147648*p^23*q^148+2894053*p^21*q^150+198902*p^19*q ^152+12198*p^17*q^154+12*p^15*q^156+44*p^13*q^158+42*p^30*q^140+6656*p^28*q^142 +526758*p^26*q^144+4415418*p^24*q^146+6216650*p^22*q^148+937708*p^20*q^150+ 34196*p^18*q^152+1876*p^16*q^154+16*p^29*q^140+57862*p^27*q^142+1666614*p^25*q^ 144+6736247*p^23*q^146+3264812*p^21*q^148+224421*p^19*q^150+16976*p^17*q^152+20 *p^15*q^154+3370*p^28*q^140+405562*p^26*q^142+3815954*p^24*q^144+6314528*p^22*q ^146+1044342*p^20*q^148+46208*p^18*q^150+1998*p^16*q^152+4*p^12*q^156+263*p^29* q^138+41914*p^27*q^140+1310960*p^25*q^142+6059054*p^23*q^144+3525496*p^21*q^146 +289050*p^19*q^148+13752*p^17*q^150+194*p^15*q^152+852*p^28*q^138+244810*p^26*q ^140+3164442*p^24*q^142+6359814*p^22*q^144+1301064*p^20*q^146+57400*p^18*q^148+ 5080*p^16*q^150+56*p^29*q^136+22698*p^27*q^138+1057798*p^25*q^140+5611084*p^23* q^142+3874026*p^21*q^144+339938*p^19*q^146+11368*p^17*q^148+164*p^15*q^150+1078 *p^28*q^136+174356*p^26*q^138+2669425*p^24*q^140+6134662*p^22*q^142+1463404*p^ 20*q^144+73336*p^18*q^146+6442*p^16*q^148+8*p^14*q^150+8*p^29*q^134+10338*p^27* q^136+792390*p^25*q^138+4856120*p^23*q^140+4223274*p^21*q^142+404270*p^19*q^144 +12232*p^17*q^146+682*p^15*q^148+794*p^28*q^134+113272*p^26*q^136+2164520*p^24* q^138+6025209*p^22*q^140+1698212*p^20*q^142+103240*p^18*q^144+5536*p^16*q^146+ 12*p^14*q^148+8*p^29*q^132+4586*p^27*q^134+561796*p^25*q^136+4367201*p^23*q^138 +4375778*p^21*q^140+497638*p^19*q^142+13654*p^17*q^144+1664*p^15*q^146+122*p^28 *q^132+66004*p^26*q^134+1826801*p^24*q^136+5688178*p^22*q^138+1978618*p^20*q^ 140+118528*p^18*q^142+3894*p^16*q^144+20*p^14*q^146+5466*p^27*q^132+411232*p^25 *q^134+3697486*p^23*q^136+4567330*p^21*q^138+545462*p^19*q^140+23432*p^17*q^142 +2162*p^15*q^144+148*p^28*q^130+30372*p^26*q^132+1397916*p^24*q^134+5321988*p^ 22*q^136+2254554*p^20*q^138+163048*p^18*q^140+2296*p^16*q^142+224*p^14*q^144+ 1314*p^27*q^130+273278*p^25*q^132+3208103*p^23*q^134+4781476*p^21*q^136+687624* p^19*q^138+27872*p^17*q^140+2440*p^15*q^142+24*p^28*q^128+25218*p^26*q^130+ 1115591*p^24*q^132+4965920*p^22*q^134+2420176*p^20*q^136+161014*p^18*q^138+3194 *p^16*q^140+340*p^14*q^142+1264*p^27*q^128+170438*p^25*q^130+2674954*p^23*q^132 +4661007*p^21*q^134+849070*p^19*q^136+50334*p^17*q^138+690*p^15*q^140+12*p^13*q ^142+11134*p^26*q^128+807448*p^24*q^130+4445371*p^22*q^132+2800090*p^20*q^134+ 192382*p^18*q^136+4344*p^16*q^138+1022*p^14*q^140+452*p^27*q^126+105248*p^25*q^ 128+2276552*p^23*q^130+4747306*p^21*q^132+966219*p^19*q^134+53420*p^17*q^136+ 254*p^15*q^138+14*p^13*q^140+4*p^28*q^124+6986*p^26*q^126+603205*p^24*q^128+ 3959220*p^22*q^130+2931294*p^20*q^132+242650*p^18*q^134+10068*p^16*q^136+492*p^ 14*q^138+104*p^27*q^124+66376*p^25*q^126+1819258*p^23*q^128+4609089*p^21*q^130+ 1149184*p^19*q^132+58232*p^17*q^134+464*p^15*q^136+180*p^13*q^138+4024*p^26*q^ 124+397180*p^24*q^126+3480036*p^22*q^128+3156394*p^20*q^130+299701*p^18*q^132+ 16052*p^16*q^134+12*p^14*q^136+68*p^27*q^122+33158*p^25*q^124+1432606*p^23*q^ 126+4457612*p^21*q^128+1360483*p^19*q^130+66974*p^17*q^132+962*p^15*q^134+256*p ^13*q^136+1548*p^26*q^122+278254*p^24*q^124+3132432*p^22*q^126+3290842*p^20*q^ 128+358108*p^18*q^130+16596*p^16*q^132+32*p^14*q^134+8*p^12*q^136+8*p^27*q^120+ 24154*p^25*q^122+1105806*p^23*q^124+4017387*p^21*q^126+1505510*p^19*q^128+76172 *p^17*q^130+3212*p^15*q^132+6*p^28*q^118+864*p^26*q^120+156702*p^24*q^122+ 2567895*p^22*q^124+3572916*p^20*q^126+464327*p^18*q^128+25248*p^16*q^130+32*p^ 14*q^132+64*p^12*q^134+4*p^27*q^118+10716*p^25*q^120+826487*p^23*q^122+3889300* p^21*q^124+1665215*p^19*q^126+89622*p^17*q^128+2962*p^15*q^130+176*p^26*q^118+ 109465*p^24*q^120+2178158*p^22*q^122+3489082*p^20*q^124+559778*p^18*q^126+21497 *p^16*q^128+356*p^14*q^130+74*p^27*q^116+7472*p^25*q^118+577650*p^23*q^120+ 3496204*p^21*q^122+1895134*p^19*q^124+118918*p^17*q^126+7382*p^15*q^128+6*p^11* q^132+60*p^26*q^116+55070*p^24*q^118+1755007*p^22*q^120+3466020*p^20*q^122+ 647276*p^18*q^124+22728*p^16*q^126+296*p^14*q^128+2274*p^25*q^116+395801*p^23*q ^118+3177388*p^21*q^120+2159225*p^19*q^122+160218*p^17*q^124+8380*p^15*q^126+16 *p^13*q^128+370*p^26*q^114+39398*p^24*q^116+1401132*p^22*q^118+3428288*p^20*q^ 120+721632*p^18*q^122+24048*p^16*q^124+1068*p^14*q^126+806*p^25*q^114+243798*p^ 23*q^116+2762017*p^21*q^118+2238742*p^19*q^120+210275*p^17*q^122+8072*p^15*q^ 124+24*p^13*q^126+124*p^26*q^112+20194*p^24*q^114+1068818*p^22*q^116+3324960*p^ 20*q^118+902739*p^18*q^120+33846*p^16*q^122+2282*p^14*q^124+3*p^27*q^110+1176*p ^25*q^112+149926*p^23*q^114+2367346*p^21*q^116+2412408*p^19*q^118+234462*p^17*q ^120+6648*p^15*q^122+44*p^13*q^124+7464*p^24*q^112+797830*p^22*q^114+3183085*p^ 20*q^116+1029902*p^18*q^118+49204*p^16*q^120+2736*p^14*q^122+1226*p^25*q^110+ 107574*p^23*q^112+1976366*p^21*q^114+2434332*p^19*q^116+283789*p^17*q^118+5078* p^15*q^120+324*p^13*q^122+33*p^26*q^108+4620*p^24*q^110+493674*p^22*q^112+ 2931264*p^20*q^114+1208720*p^18*q^116+73796*p^16*q^118+3434*p^14*q^120+92*p^25* q^108+49169*p^23*q^110+1702804*p^21*q^112+2592408*p^19*q^114+336464*p^17*q^116+ 7242*p^15*q^118+464*p^13*q^120+5330*p^24*q^108+374436*p^22*q^110+2646910*p^20*q ^112+1291118*p^18*q^114+78577*p^16*q^116+972*p^14*q^118+20*p^12*q^120+217*p^25* q^106+27504*p^23*q^108+1246116*p^21*q^110+2564890*p^19*q^112+436460*p^17*q^114+ 16328*p^15*q^116+1340*p^13*q^118+1824*p^24*q^106+225404*p^22*q^108+2400566*p^20 *q^110+1481856*p^18*q^112+95584*p^16*q^114+772*p^14*q^116+24*p^12*q^118+48*p^25 *q^104+17624*p^23*q^106+958274*p^21*q^108+2562225*p^19*q^110+496696*p^17*q^112+ 20965*p^15*q^114+636*p^13*q^116+1134*p^24*q^104+136402*p^22*q^106+2104171*p^20* q^108+1577470*p^18*q^110+121050*p^16*q^112+1796*p^14*q^114+240*p^12*q^116+12508 *p^23*q^104+692687*p^21*q^106+2434706*p^19*q^108+604250*p^17*q^110+25102*p^15*q ^112+52*p^13*q^114+3*p^26*q^100+562*p^24*q^102+73280*p^22*q^104+1736396*p^20*q^ 106+1704202*p^18*q^108+148406*p^16*q^110+4300*p^14*q^112+332*p^12*q^114+5567*p^ 23*q^102+472706*p^21*q^104+2372689*p^19*q^106+714508*p^17*q^108+34070*p^15*q^ 110+80*p^13*q^112+12*p^11*q^114+38*p^24*q^100+52422*p^22*q^102+1438604*p^20*q^ 104+1790988*p^18*q^106+169168*p^16*q^108+4588*p^14*q^110+33*p^25*q^98+3800*p^23 *q^100+300361*p^21*q^102+2150182*p^19*q^104+789990*p^17*q^106+40514*p^15*q^108+ 526*p^13*q^110+84*p^11*q^112+70*p^24*q^98+27464*p^22*q^100+1087956*p^20*q^102+ 1854320*p^18*q^104+244200*p^16*q^106+9064*p^14*q^108+764*p^23*q^98+182336*p^21* q^100+2009393*p^19*q^102+924866*p^17*q^104+40264*p^15*q^106+480*p^13*q^108+141* p^24*q^96+18270*p^22*q^98+852100*p^20*q^100+1842092*p^18*q^102+269342*p^16*q^ 104+11818*p^14*q^106+24*p^12*q^108+8*p^10*q^110+828*p^23*q^96+119944*p^21*q^98+ 1674272*p^19*q^100+1030669*p^17*q^102+56668*p^15*q^104+1374*p^13*q^106+48*p^24* q^94+7016*p^22*q^96+546888*p^20*q^98+1885449*p^18*q^100+350166*p^16*q^102+12384 *p^14*q^104+36*p^12*q^106+383*p^23*q^94+71254*p^21*q^96+1489709*p^19*q^98+ 1109760*p^17*q^100+70698*p^15*q^102+2884*p^13*q^104+4706*p^22*q^94+394821*p^20* q^96+1783704*p^18*q^98+406134*p^16*q^100+11666*p^14*q^102+68*p^12*q^104+396*p^ 23*q^92+39219*p^21*q^94+1167742*p^19*q^96+1192875*p^17*q^98+98774*p^15*q^100+ 3762*p^13*q^102+2258*p^22*q^92+245126*p^20*q^94+1672665*p^18*q^96+491306*p^16*q ^98+13280*p^14*q^100+424*p^12*q^102+42*p^23*q^90+20196*p^21*q^92+902750*p^19*q^ 94+1314000*p^17*q^96+122325*p^15*q^98+4340*p^13*q^100+1340*p^22*q^90+156924*p^ 20*q^92+1561690*p^18*q^94+532224*p^16*q^96+19604*p^14*q^98+616*p^12*q^100+36*p^ 23*q^88+15241*p^21*q^90+655932*p^19*q^92+1300086*p^17*q^94+159040*p^15*q^96+ 2311*p^13*q^98+28*p^11*q^100+674*p^22*q^88+81494*p^20*q^90+1343081*p^18*q^92+ 654240*p^16*q^94+29854*p^14*q^96+1646*p^12*q^98+4548*p^21*q^88+461152*p^19*q^90 +1355904*p^17*q^92+190452*p^15*q^94+2280*p^13*q^96+34*p^11*q^98+360*p^22*q^86+ 62740*p^20*q^88+1150192*p^18*q^90+701960*p^16*q^92+37624*p^14*q^94+870*p^12*q^ 96+3742*p^21*q^86+282816*p^19*q^88+1297944*p^17*q^90+224564*p^15*q^92+5650*p^13 *q^94+300*p^11*q^96+42*p^22*q^84+27132*p^20*q^86+930448*p^18*q^88+813906*p^16*q ^90+56616*p^14*q^92+124*p^12*q^94+1950*p^21*q^84+188318*p^19*q^86+1252078*p^17* q^88+270926*p^15*q^90+6052*p^13*q^92+408*p^11*q^94+14896*p^20*q^84+692602*p^18* q^86+863884*p^16*q^88+63326*p^14*q^90+654*p^12*q^92+16*p^10*q^94+874*p^21*q^82+ 123306*p^19*q^84+1154555*p^17*q^86+325158*p^15*q^88+13064*p^13*q^90+12*p^22*q^ 80+8574*p^20*q^82+458824*p^18*q^84+897110*p^16*q^86+79902*p^14*q^88+656*p^12*q^ 90+104*p^10*q^92+60*p^21*q^80+60155*p^19*q^82+1067102*p^17*q^84+411598*p^15*q^ 86+16932*p^13*q^88+32*p^11*q^90+5413*p^20*q^80+354110*p^18*q^82+904255*p^16*q^ 84+88062*p^14*q^86+1768*p^12*q^88+144*p^21*q^78+36084*p^19*q^80+810768*p^17*q^ 82+451774*p^15*q^84+21548*p^13*q^86+48*p^11*q^88+10*p^9*q^90+1478*p^20*q^78+ 207362*p^18*q^80+965158*p^16*q^82+132264*p^14*q^84+3888*p^12*q^86+19791*p^19*q^ 78+671514*p^17*q^80+503943*p^15*q^82+19160*p^13*q^84+92*p^11*q^86+849*p^20*q^76 +134986*p^18*q^78+904902*p^16*q^80+162986*p^14*q^82+5200*p^12*q^84+11560*p^19*q ^76+484588*p^17*q^78+544586*p^15*q^80+28239*p^13*q^82+560*p^11*q^84+204*p^20*q^ 74+66789*p^18*q^76+833438*p^16*q^78+206935*p^14*q^80+6048*p^12*q^82+4289*p^19*q ^74+354606*p^17*q^76+612068*p^15*q^78+40342*p^13*q^80+782*p^11*q^82+12*p^20*q^ 72+45762*p^18*q^74+707511*p^16*q^76+230644*p^14*q^78+4052*p^12*q^80+36*p^10*q^ 82+2216*p^19*q^72+217938*p^17*q^74+650182*p^15*q^76+57860*p^13*q^78+2040*p^11*q ^80+24*p^20*q^70+22449*p^18*q^72+585256*p^16*q^74+265676*p^14*q^76+7204*p^12*q^ 78+44*p^10*q^80+240*p^19*q^70+130326*p^17*q^72+652367*p^15*q^74+78962*p^13*q^76 +1022*p^11*q^78+11380*p^18*q^70+477369*p^16*q^72+316254*p^14*q^74+9430*p^12*q^ 76+360*p^10*q^78+360*p^19*q^68+85256*p^17*q^70+584726*p^15*q^72+88948*p^13*q^74 +844*p^11*q^76+3360*p^18*q^68+299990*p^16*q^70+389567*p^14*q^72+19598*p^12*q^74 +484*p^10*q^76+6*p^19*q^66+43442*p^17*q^68+601054*p^15*q^70+102434*p^13*q^72+ 902*p^11*q^74+20*p^9*q^76+2304*p^18*q^66+221832*p^16*q^68+377092*p^14*q^70+ 24376*p^12*q^72+40*p^10*q^74+4*p^19*q^64+21338*p^17*q^66+462592*p^15*q^68+ 149685*p^13*q^70+2848*p^11*q^72+124*p^9*q^74+480*p^18*q^64+132372*p^16*q^66+ 433919*p^14*q^68+28588*p^12*q^70+60*p^10*q^72+4*p^19*q^62+9960*p^17*q^64+385131 *p^15*q^66+167642*p^13*q^68+5014*p^11*q^70+52*p^18*q^62+77590*p^16*q^64+428876* p^14*q^66+37393*p^12*q^68+176*p^10*q^70+12*p^8*q^72+5074*p^17*q^62+282102*p^15* q^64+199072*p^13*q^66+6764*p^11*q^68+46*p^18*q^60+38214*p^16*q^62+401609*p^14*q ^64+52736*p^12*q^66+682*p^10*q^68+618*p^17*q^60+189759*p^15*q^62+244218*p^13*q^ 64+8661*p^11*q^66+24072*p^16*q^60+366514*p^14*q^62+59322*p^12*q^64+960*p^10*q^ 66+456*p^17*q^58+112688*p^15*q^60+250013*p^13*q^62+11568*p^11*q^64+44*p^9*q^66+ 6*p^18*q^56+6568*p^16*q^58+296719*p^14*q^60+94954*p^12*q^62+2390*p^10*q^64+48*p ^17*q^56+71620*p^15*q^58+278476*p^13*q^60+11590*p^11*q^62+54*p^9*q^64+3064*p^16 *q^56+226392*p^14*q^58+101884*p^12*q^60+2160*p^10*q^62+60*p^17*q^54+35342*p^15* q^56+266116*p^13*q^58+23462*p^11*q^60+420*p^9*q^62+708*p^16*q^54+146602*p^14*q^ 56+132042*p^12*q^58+1504*p^10*q^60+14464*p^15*q^54+265294*p^13*q^56+31269*p^11* q^58+608*p^9*q^60+274*p^16*q^52+100912*p^14*q^54+138751*p^12*q^56+3260*p^10*q^ 58+24*p^8*q^60+5874*p^15*q^52+208156*p^13*q^54+42382*p^11*q^56+114*p^9*q^58+108 *p^16*q^50+50886*p^14*q^52+169560*p^12*q^54+6752*p^10*q^56+144*p^8*q^58+1210*p^ 15*q^50+165102*p^13*q^52+51079*p^11*q^54+180*p^9*q^56+27110*p^14*q^50+177844*p^ 12*q^52+9268*p^10*q^54+1020*p^15*q^48+110814*p^13*q^50+59398*p^11*q^52+883*p^9* q^54+14*p^7*q^56+7296*p^14*q^48+163978*p^12*q^50+15790*p^10*q^52+34*p^15*q^46+ 74720*p^13*q^48+85964*p^11*q^50+1156*p^9*q^52+4456*p^14*q^46+137532*p^12*q^48+ 13324*p^10*q^50+52*p^8*q^52+20*p^15*q^44+32242*p^13*q^46+98778*p^11*q^48+3873*p ^9*q^50+974*p^14*q^44+116392*p^12*q^46+23548*p^10*q^48+64*p^8*q^50+14258*p^13*q ^44+100172*p^11*q^46+2722*p^9*q^48+196*p^14*q^42+77937*p^12*q^44+35766*p^10*q^ 46+554*p^8*q^48+6637*p^13*q^42+96594*p^11*q^44+3814*p^9*q^46+30*p^14*q^40+38100 *p^12*q^42+45404*p^10*q^44+736*p^8*q^46+1196*p^13*q^40+98641*p^11*q^42+7464*p^9 *q^44+28*p^7*q^46+22244*p^12*q^40+46340*p^10*q^42+274*p^8*q^44+478*p^13*q^38+ 63952*p^11*q^40+13118*p^9*q^42+164*p^7*q^44+6440*p^12*q^38+63097*p^10*q^40+944* p^8*q^42+45393*p^11*q^38+15436*p^9*q^40+2771*p^12*q^36+58100*p^10*q^38+2050*p^8 *q^40+16*p^6*q^42+5*p^13*q^34+21088*p^11*q^36+21613*p^9*q^38+60*p^7*q^40+280*p^ 12*q^34+52960*p^10*q^36+4134*p^8*q^38+9273*p^11*q^34+28052*p^9*q^36+124*p^7*q^ 38+55*p^12*q^32+37264*p^10*q^34+4409*p^8*q^36+2720*p^11*q^32+32663*p^9*q^34+656 *p^7*q^36+19873*p^10*q^32+7904*p^8*q^34+306*p^11*q^30+34724*p^9*q^32+891*p^7*q^ 34+10236*p^10*q^30+10200*p^8*q^32+32*p^6*q^34+60*p^11*q^28+23960*p^9*q^30+1244* p^7*q^32+1763*p^10*q^28+17684*p^8*q^30+184*p^6*q^32+19152*p^9*q^28+1598*p^7*q^ 30+500*p^10*q^26+15224*p^8*q^28+88*p^6*q^30+6541*p^9*q^26+5010*p^7*q^28+18*p^5* q^30+15*p^10*q^24+17280*p^8*q^26+120*p^6*q^28+1880*p^9*q^24+5662*p^7*q^26+12041 *p^8*q^24+704*p^6*q^26+270*p^9*q^22+7266*p^7*q^24+4308*p^8*q^22+1476*p^6*q^24+ 10108*p^7*q^22+36*p^5*q^24+1332*p^8*q^20+1348*p^6*q^22+5754*p^7*q^20+262*p^5*q^ 22+42*p^8*q^18+4005*p^6*q^20+2982*p^7*q^18+74*p^5*q^20+3840*p^6*q^18+20*p^4*q^ 20+364*p^7*q^16+757*p^5*q^18+3293*p^6*q^16+p^7*q^14+1296*p^5*q^16+1064*p^6*q^14 +51*p^4*q^16+1692*p^5*q^14+28*p^6*q^12+244*p^4*q^14+1368*p^5*q^12+360*p^4*q^12+ 126*p^5*q^10+22*p^3*q^12+830*p^4*q^10+22*p^3*q^10+210*p^4*q^8+232*p^3*q^8+165*p ^3*q^6+24*p^2*q^6+66*p^2*q^4+13*p*q^2+1 J[15](p, q), equals p^105*q^1120+14*p^104*q^1118+78*p^103*q^1116+26*p^103*q^1114+220*p^102*q^1114+ 277*p^102*q^1112+330*p^101*q^1112+24*p^102*q^1110+1122*p^101*q^1110+24*p^102*q^ 1108+252*p^100*q^1110+440*p^101*q^1108+2175*p^100*q^1108+290*p^101*q^1106+84*p^ 99*q^1108+2380*p^100*q^1106+56*p^101*q^1104+2100*p^99*q^1106+1700*p^100*q^1104+ 8*p^98*q^1106+5527*p^99*q^1104+930*p^100*q^1102+966*p^98*q^1104+22*p^101*q^1100 +5820*p^99*q^1102+82*p^100*q^1100+6184*p^98*q^1102+5562*p^99*q^1100+182*p^97*q^ 1102+310*p^100*q^1098+10752*p^98*q^1100+1714*p^99*q^1098+3500*p^97*q^1100+40*p^ 100*q^1096+16422*p^98*q^1098+7*p^96*q^1100+1910*p^99*q^1096+10318*p^97*q^1098+ 10814*p^98*q^1096+980*p^96*q^1098+860*p^99*q^1094+24524*p^97*q^1096+8076*p^98*q ^1094+5584*p^96*q^1096+134*p^99*q^1092+30852*p^97*q^1094+105*p^95*q^1096+20*p^ 100*q^1090+6806*p^98*q^1092+17866*p^96*q^1094+98*p^99*q^1090+25306*p^97*q^1092+ 1840*p^95*q^1094+2026*p^98*q^1090+43088*p^96*q^1092+224*p^99*q^1088+27418*p^97* q^1090+6730*p^95*q^1092+1521*p^98*q^1088+49294*p^96*q^1090+330*p^94*q^1092+36*p ^99*q^1086+14694*p^97*q^1088+29640*p^95*q^1090+1174*p^98*q^1086+64486*p^96*q^ 1088+1522*p^94*q^1090+10860*p^97*q^1086+53198*p^95*q^1088+20*p^93*q^1090+806*p^ 98*q^1084+55586*p^96*q^1086+10590*p^94*q^1088+6087*p^97*q^1084+87530*p^95*q^ 1086+275*p^93*q^1088+140*p^98*q^1082+44530*p^96*q^1084+31332*p^94*q^1086+5600*p ^97*q^1082+112490*p^95*q^1084+1790*p^93*q^1086+68*p^98*q^1080+32552*p^96*q^1082 +66276*p^94*q^1084+30*p^92*q^1086+18*p^99*q^1078+2564*p^97*q^1080+111944*p^95*q ^1082+11528*p^93*q^1084+23114*p^96*q^1080+123600*p^94*q^1082+110*p^92*q^1084+ 1168*p^97*q^1078+111497*p^95*q^1080+26978*p^93*q^1082+202*p^98*q^1076+18582*p^ 96*q^1078+160760*p^94*q^1080+2600*p^92*q^1082+312*p^97*q^1076+78176*p^95*q^1078 +78480*p^93*q^1080+10*p^91*q^1082+32*p^98*q^1074+10110*p^96*q^1076+216820*p^94* q^1078+6680*p^92*q^1080+992*p^97*q^1074+73834*p^95*q^1076+127416*p^93*q^1078+ 260*p^91*q^1080+4904*p^96*q^1074+197222*p^94*q^1076+28924*p^92*q^1078+p^90*q^ 1080+692*p^97*q^1072+54562*p^95*q^1074+227607*p^93*q^1076+1368*p^91*q^1078+3761 *p^96*q^1072+191216*p^94*q^1074+62809*p^92*q^1076+74*p^97*q^1070+34288*p^95*q^ 1072+301802*p^93*q^1074+5670*p^91*q^1076+5258*p^96*q^1070+178528*p^94*q^1072+ 127814*p^92*q^1074+240*p^90*q^1076+60*p^97*q^1068+19032*p^95*q^1070+330778*p^93 *q^1072+22066*p^91*q^1074+1484*p^96*q^1068+143818*p^94*q^1070+255855*p^92*q^ 1072+436*p^90*q^1074+23122*p^95*q^1068+364374*p^93*q^1070+42431*p^91*q^1072+20* p^89*q^1074+16*p^98*q^1064+1102*p^96*q^1066+95437*p^94*q^1068+345834*p^92*q^ 1070+5315*p^90*q^1072+13010*p^95*q^1066+364158*p^93*q^1068+121088*p^91*q^1070+ 210*p^96*q^1064+81302*p^94*q^1066+476074*p^92*q^1068+10062*p^90*q^1070+180*p^97 *q^1062+9138*p^95*q^1064+320766*p^93*q^1066+211683*p^91*q^1068+692*p^89*q^1070+ 132*p^96*q^1062+65824*p^94*q^1064+549678*p^92*q^1066+35344*p^90*q^1068+28*p^97* q^1060+4202*p^95*q^1062+252360*p^93*q^1064+371466*p^91*q^1066+2058*p^89*q^1068+ 840*p^96*q^1060+46744*p^94*q^1062+634255*p^92*q^1064+79182*p^90*q^1066+30*p^88* q^1068+1890*p^95*q^1060+230548*p^93*q^1062+520218*p^91*q^1064+6762*p^89*q^1066+ 540*p^96*q^1058+33688*p^94*q^1060+589980*p^92*q^1062+168584*p^90*q^1064+348*p^ 88*q^1066+3066*p^95*q^1058+173612*p^93*q^1060+712938*p^91*q^1062+21267*p^89*q^ 1064+64*p^96*q^1056+15970*p^94*q^1058+576796*p^92*q^1060+315028*p^90*q^1062+736 *p^88*q^1064+3420*p^95*q^1056+153928*p^93*q^1058+868386*p^91*q^1060+44568*p^89* q^1062+30*p^87*q^1064+52*p^96*q^1054+16090*p^94*q^1056+494444*p^92*q^1058+ 482508*p^90*q^1060+4624*p^88*q^1062+1258*p^95*q^1054+92193*p^93*q^1056+956548*p ^91*q^1058+124846*p^89*q^1060+24*p^87*q^1062+13160*p^94*q^1054+463294*p^92*q^ 1056+739916*p^90*q^1058+7626*p^88*q^1060+876*p^95*q^1052+79602*p^93*q^1054+ 988265*p^91*q^1056+208126*p^89*q^1058+758*p^87*q^1060+9726*p^94*q^1052+358652*p ^92*q^1054+997526*p^90*q^1056+31816*p^88*q^1058+14*p^97*q^1048+210*p^95*q^1050+ 56788*p^93*q^1052+979236*p^91*q^1054+392052*p^89*q^1056+1262*p^87*q^1058+6984*p ^94*q^1050+290491*p^92*q^1052+1231884*p^90*q^1054+64070*p^88*q^1056+68*p^86*q^ 1058+72*p^95*q^1048+44058*p^93*q^1050+939445*p^91*q^1052+626968*p^89*q^1054+ 4396*p^87*q^1056+158*p^96*q^1046+3763*p^94*q^1048+247948*p^92*q^1050+1389004*p^ 90*q^1052+133086*p^88*q^1054+260*p^86*q^1056+48*p^95*q^1046+36704*p^93*q^1048+ 780938*p^91*q^1050+953560*p^89*q^1052+16362*p^87*q^1054+24*p^96*q^1044+1160*p^ 94*q^1046+168240*p^92*q^1048+1603292*p^90*q^1050+258882*p^88*q^1052+200*p^86*q^ 1054+690*p^95*q^1044+28470*p^93*q^1046+761940*p^91*q^1048+1230004*p^89*q^1050+ 29438*p^87*q^1052+44*p^85*q^1054+1078*p^94*q^1044+145270*p^92*q^1046+1518982*p^ 90*q^1048+464800*p^88*q^1050+3090*p^86*q^1052+472*p^95*q^1042+12980*p^93*q^1044 +585436*p^91*q^1046+1702380*p^89*q^1048+75358*p^87*q^1050+1632*p^94*q^1042+ 126436*p^92*q^1044+1566420*p^90*q^1046+716934*p^88*q^1048+4786*p^86*q^1050+4*p^ 84*q^1052+54*p^95*q^1040+9986*p^93*q^1042+483822*p^91*q^1044+1938622*p^89*q^ 1046+149366*p^87*q^1048+294*p^85*q^1050+2978*p^94*q^1040+88048*p^92*q^1042+ 1475358*p^90*q^1044+1084506*p^88*q^1046+16298*p^86*q^1048+44*p^95*q^1038+5846*p ^93*q^1040+411456*p^91*q^1042+2200898*p^89*q^1044+289904*p^87*q^1046+768*p^85*q ^1048+1050*p^94*q^1038+60170*p^92*q^1040+1303960*p^90*q^1042+1572893*p^88*q^ 1044+32748*p^86*q^1046+9690*p^93*q^1038+355636*p^91*q^1040+2399076*p^89*q^1042+ 465982*p^87*q^1044+2410*p^85*q^1046+740*p^94*q^1036+41098*p^92*q^1038+1130096*p ^90*q^1040+1983950*p^88*q^1042+80520*p^86*q^1044+132*p^84*q^1046+7756*p^93*q^ 1036+271504*p^91*q^1038+2445634*p^89*q^1040+800458*p^87*q^1042+6110*p^85*q^1044 +116*p^94*q^1034+29936*p^92*q^1036+998590*p^90*q^1038+2549955*p^88*q^1040+ 152434*p^86*q^1042+192*p^84*q^1044+5606*p^93*q^1034+212264*p^91*q^1036+2421564* p^89*q^1038+1163228*p^87*q^1040+13388*p^85*q^1042+12*p^83*q^1044+12*p^96*q^1030 +60*p^94*q^1032+33996*p^92*q^1034+873011*p^90*q^1036+2887494*p^88*q^1038+283171 *p^86*q^1040+1104*p^84*q^1042+2418*p^93*q^1032+137964*p^91*q^1034+2190977*p^89* q^1036+1740928*p^87*q^1038+38321*p^85*q^1040+40*p^94*q^1030+26769*p^92*q^1032+ 754714*p^90*q^1034+3460493*p^88*q^1036+459516*p^86*q^1038+1098*p^84*q^1040+136* p^95*q^1028+886*p^93*q^1030+128286*p^91*q^1032+2055930*p^89*q^1034+2228470*p^87 *q^1036+76374*p^85*q^1038+162*p^83*q^1040+19630*p^92*q^1030+574764*p^90*q^1032+ 3519484*p^88*q^1034+803292*p^86*q^1036+6508*p^84*q^1038+20*p^95*q^1026+868*p^93 *q^1028+103348*p^91*q^1030+1910574*p^89*q^1032+2991010*p^87*q^1034+138920*p^85* q^1036+36*p^83*q^1038+596*p^94*q^1026+8644*p^92*q^1028+467138*p^90*q^1030+ 3612825*p^88*q^1032+1168020*p^86*q^1034+15728*p^84*q^1036+12*p^82*q^1038+158*p^ 93*q^1026+92456*p^91*q^1028+1693294*p^89*q^1030+3744327*p^87*q^1032+251450*p^85 *q^1034+516*p^83*q^1036+404*p^94*q^1024+8072*p^92*q^1026+383178*p^90*q^1028+ 3550448*p^88*q^1030+1683562*p^86*q^1032+34576*p^84*q^1034+1420*p^93*q^1024+ 58752*p^91*q^1026+1416070*p^89*q^1028+4268272*p^87*q^1030+466270*p^85*q^1032+ 2620*p^83*q^1034+44*p^94*q^1022+3136*p^92*q^1024+326640*p^90*q^1026+3506642*p^ 88*q^1028+2456920*p^86*q^1030+57901*p^84*q^1032+12*p^82*q^1034+2480*p^93*q^1022 +45810*p^91*q^1024+1250902*p^89*q^1026+4767384*p^87*q^1028+662402*p^85*q^1030+ 5768*p^83*q^1032+36*p^94*q^1020+3612*p^92*q^1022+268269*p^90*q^1024+3205164*p^ 88*q^1026+3264284*p^86*q^1028+139584*p^84*q^1030+294*p^82*q^1032+856*p^93*q^ 1020+29184*p^91*q^1022+1007569*p^89*q^1024+5112098*p^87*q^1026+1101448*p^85*q^ 1028+12438*p^83*q^1030+7362*p^92*q^1020+202976*p^90*q^1022+3060655*p^88*q^1024+ 4154862*p^86*q^1026+210090*p^84*q^1028+480*p^82*q^1030+584*p^93*q^1018+19598*p^ 91*q^1020+903012*p^89*q^1022+5263329*p^87*q^1024+1614928*p^85*q^1026+29170*p^83 *q^1028+12*p^81*q^1030+5904*p^92*q^1018+161222*p^90*q^1020+2638622*p^88*q^1022+ 5087188*p^86*q^1024+366550*p^84*q^1026+2426*p^82*q^1028+92*p^93*q^1016+19464*p^ 91*q^1018+732804*p^89*q^1020+5287012*p^87*q^1022+2388046*p^85*q^1024+56692*p^83 *q^1026+24*p^81*q^1028+4302*p^92*q^1016+110724*p^90*q^1018+2393569*p^88*q^1020+ 5922238*p^86*q^1022+593691*p^84*q^1024+4354*p^82*q^1026+48*p^93*q^1014+21336*p^ 91*q^1016+623440*p^89*q^1018+5236229*p^87*q^1020+3200152*p^85*q^1022+96614*p^83 *q^1024+238*p^81*q^1026+1944*p^92*q^1014+88702*p^90*q^1016+2108752*p^88*q^1018+ 6535138*p^86*q^1020+937294*p^84*q^1022+12294*p^82*q^1024+10*p^95*q^1010+32*p^93 *q^1012+19598*p^91*q^1014+471756*p^89*q^1016+4883646*p^87*q^1018+4429104*p^85*q ^1020+179992*p^83*q^1022+774*p^81*q^1024+694*p^92*q^1012+68134*p^90*q^1014+ 1845492*p^88*q^1016+7169800*p^86*q^1018+1405384*p^84*q^1020+20018*p^82*q^1022+ 14324*p^91*q^1012+407392*p^89*q^1014+4683267*p^87*q^1016+5419974*p^85*q^1018+ 284328*p^83*q^1020+1582*p^81*q^1022+114*p^94*q^1008+732*p^92*q^1010+69624*p^90* q^1012+1546966*p^88*q^1014+7386972*p^86*q^1016+2111540*p^84*q^1018+47012*p^82*q ^1020+144*p^80*q^1022+6776*p^91*q^1010+284154*p^89*q^1012+4263880*p^87*q^1014+ 6761253*p^85*q^1016+477226*p^83*q^1018+3228*p^81*q^1020+16*p^94*q^1006+112*p^92 *q^1008+60012*p^90*q^1010+1361946*p^88*q^1012+7611342*p^86*q^1014+3024487*p^84* q^1016+70854*p^82*q^1018+78*p^80*q^1020+502*p^93*q^1006+6432*p^91*q^1008+249748 *p^89*q^1010+3908436*p^87*q^1012+7671916*p^85*q^1014+721684*p^83*q^1016+10378*p ^81*q^1018+12*p^79*q^1020+72*p^92*q^1006+41056*p^90*q^1008+1106060*p^88*q^1010+ 7494626*p^86*q^1012+4172062*p^84*q^1014+138719*p^82*q^1016+394*p^80*q^1018+336* p^93*q^1004+2590*p^91*q^1006+213802*p^89*q^1008+3483110*p^87*q^1010+8845916*p^ 85*q^1012+1150394*p^83*q^1014+15766*p^81*q^1016+1104*p^92*q^1004+33938*p^90*q^ 1006+895066*p^88*q^1008+7344512*p^86*q^1010+5474577*p^84*q^1012+207902*p^82*q^ 1014+1524*p^80*q^1016+34*p^93*q^1002+1164*p^91*q^1004+170264*p^89*q^1006+ 3177702*p^87*q^1008+9477330*p^85*q^1010+1766192*p^83*q^1012+30650*p^81*q^1014+ 18*p^79*q^1016+2088*p^92*q^1002+24818*p^90*q^1004+771898*p^88*q^1006+7008340*p^ 86*q^1008+6798716*p^84*q^1010+333992*p^82*q^1012+3726*p^80*q^1014+28*p^93*q^ 1000+1808*p^91*q^1002+137370*p^89*q^1004+2663372*p^87*q^1006+10107602*p^85*q^ 1008+2632314*p^83*q^1010+61109*p^81*q^1012+150*p^79*q^1014+674*p^92*q^1000+ 11332*p^90*q^1002+611352*p^88*q^1004+6702276*p^86*q^1006+8550767*p^84*q^1008+ 532434*p^82*q^1010+4394*p^80*q^1012+6052*p^91*q^1000+124582*p^89*q^1002+2405111 *p^87*q^1004+10387938*p^85*q^1006+3558273*p^83*q^1008+83100*p^81*q^1010+660*p^ 79*q^1012+472*p^92*q^998+8140*p^90*q^1000+511154*p^88*q^1002+6110892*p^86*q^ 1004+9673496*p^84*q^1006+930099*p^82*q^1008+15606*p^80*q^1010+12*p^78*q^1012+ 4524*p^91*q^998+79386*p^89*q^1000+1995378*p^87*q^1002+10666266*p^85*q^1004+ 5074954*p^83*q^1006+131206*p^81*q^1008+682*p^79*q^1010+68*p^92*q^996+12184*p^90 *q^998+434544*p^88*q^1000+5728532*p^86*q^1002+11165549*p^84*q^1004+1324664*p^82 *q^1006+21144*p^80*q^1008+48*p^78*q^1010+3528*p^91*q^996+55134*p^89*q^998+ 1719370*p^87*q^1000+10472088*p^85*q^1002+6523285*p^83*q^1004+242286*p^81*q^1006 +2471*p^79*q^1008+36*p^92*q^994+15380*p^90*q^996+367716*p^88*q^998+5148828*p^86 *q^1000+12184062*p^84*q^1002+2063709*p^82*q^1004+32612*p^80*q^1006+165*p^78*q^ 1008+1576*p^91*q^994+40168*p^89*q^996+1384378*p^87*q^998+10344561*p^85*q^1000+ 8208802*p^83*q^1002+399011*p^81*q^1004+5158*p^79*q^1006+24*p^92*q^992+14548*p^ 90*q^994+277850*p^88*q^996+4700206*p^86*q^998+13305873*p^84*q^1000+2988854*p^82 *q^1002+47214*p^80*q^1004+250*p^78*q^1006+492*p^91*q^992+42498*p^89*q^994+ 1240202*p^87*q^996+9882336*p^85*q^998+10026781*p^83*q^1000+615588*p^81*q^1002+ 8330*p^79*q^1004+18*p^77*q^1006+8*p^94*q^988+11851*p^90*q^992+202224*p^88*q^994 +4024977*p^86*q^996+13757574*p^84*q^998+4205200*p^82*q^1000+98310*p^80*q^1002+ 928*p^78*q^1004+544*p^91*q^990+42092*p^89*q^992+1043320*p^87*q^994+9563634*p^85 *q^996+11812538*p^83*q^998+1018949*p^81*q^1000+10484*p^79*q^1002+57*p^77*q^1004 +4844*p^90*q^990+156178*p^88*q^992+3476780*p^86*q^994+14441722*p^84*q^996+ 5651122*p^82*q^998+150669*p^80*q^1000+1404*p^78*q^1002+92*p^93*q^986+56*p^91*q^ 988+45826*p^89*q^990+853034*p^87*q^992+9118862*p^85*q^994+13516386*p^83*q^996+ 1482874*p^81*q^998+18015*p^79*q^1000+84*p^77*q^1002+5046*p^90*q^988+139154*p^88 *q^990+3104812*p^86*q^992+14234248*p^84*q^994+7459595*p^82*q^996+277422*p^80*q^ 998+3788*p^78*q^1000+12*p^76*q^1002+12*p^93*q^984+52*p^91*q^986+28768*p^89*q^ 988+645118*p^87*q^990+8140934*p^85*q^992+15258596*p^83*q^994+2301368*p^81*q^996 +30974*p^79*q^998+80*p^77*q^1000+408*p^92*q^984+1592*p^90*q^986+131102*p^88*q^ 988+2733376*p^86*q^990+14939156*p^84*q^992+9265446*p^82*q^994+406180*p^80*q^996 +2796*p^78*q^998+20*p^91*q^984+26956*p^89*q^986+542442*p^87*q^988+7484680*p^85* q^990+16315013*p^83*q^992+3233764*p^81*q^994+60370*p^79*q^996+1006*p^77*q^998+p ^75*q^1000+268*p^92*q^982+802*p^90*q^984+110958*p^88*q^986+2265419*p^86*q^988+ 14403502*p^84*q^990+11610283*p^82*q^992+694658*p^80*q^994+5008*p^78*q^996+900*p ^91*q^982+16776*p^89*q^984+445850*p^87*q^986+6818086*p^85*q^988+17550820*p^83*q ^990+4571735*p^81*q^992+99476*p^79*q^994+884*p^77*q^996+24*p^92*q^980+448*p^90* q^982+98364*p^88*q^984+1879536*p^86*q^986+14154271*p^84*q^988+13623978*p^82*q^ 990+1047366*p^80*q^992+9456*p^78*q^994+108*p^76*q^996+1676*p^91*q^980+7606*p^89 *q^982+373168*p^87*q^984+6213932*p^85*q^986+18729547*p^83*q^988+6077124*p^81*q^ 990+164542*p^79*q^992+584*p^77*q^994+20*p^92*q^978+1374*p^90*q^980+88928*p^88*q ^982+1617570*p^86*q^984+13236654*p^84*q^986+15677019*p^82*q^988+1604366*p^80*q^ 990+21964*p^78*q^992+342*p^76*q^994+528*p^91*q^978+5384*p^89*q^980+313116*p^87* q^982+5326922*p^85*q^984+19417968*p^83*q^986+8211164*p^81*q^988+283362*p^79*q^ 990+876*p^77*q^992+4668*p^90*q^978+50552*p^88*q^980+1313204*p^86*q^982+12976912 *p^84*q^984+17711598*p^82*q^986+2334979*p^80*q^988+31740*p^78*q^990+36*p^76*q^ 992+360*p^91*q^976+4238*p^89*q^978+310712*p^87*q^980+4780468*p^85*q^982+ 19853494*p^83*q^984+10073096*p^81*q^986+421290*p^79*q^988+3522*p^77*q^990+72*p^ 75*q^992+3588*p^90*q^976+40056*p^88*q^978+1061878*p^86*q^980+11838320*p^84*q^ 982+19704684*p^82*q^984+3420766*p^80*q^986+70154*p^78*q^988+44*p^76*q^990+44*p^ 91*q^974+8288*p^89*q^976+225918*p^87*q^978+4123038*p^85*q^980+19904526*p^83*q^ 982+12733521*p^81*q^984+683748*p^79*q^986+5428*p^77*q^988+2764*p^90*q^974+24843 *p^88*q^976+972606*p^86*q^978+11037302*p^84*q^980+21623968*p^82*q^982+4697299*p ^80*q^984+91490*p^78*q^986+292*p^76*q^988+6*p^74*q^990+24*p^91*q^972+11002*p^89 *q^974+191282*p^87*q^976+3468762*p^85*q^978+20072896*p^83*q^980+14683622*p^81*q ^982+1070912*p^79*q^984+13926*p^77*q^986+1184*p^90*q^972+23496*p^88*q^974+ 799337*p^86*q^976+10152984*p^84*q^978+23033972*p^82*q^980+6485602*p^80*q^982+ 159992*p^78*q^984+828*p^76*q^986+16*p^91*q^970+11320*p^89*q^972+133910*p^87*q^ 974+2986088*p^85*q^976+19314634*p^83*q^978+17675443*p^81*q^980+1595116*p^79*q^ 982+21282*p^77*q^984+8*p^75*q^986+320*p^90*q^970+24718*p^88*q^972+673178*p^86*q ^974+9145758*p^84*q^976+24679690*p^82*q^978+8364794*p^80*q^980+263506*p^78*q^ 982+1700*p^76*q^984+9010*p^89*q^970+108686*p^87*q^972+2617646*p^85*q^974+ 19110989*p^83*q^976+19765530*p^81*q^978+2353526*p^79*q^980+30352*p^77*q^982+92* p^75*q^984+372*p^90*q^968+27644*p^88*q^970+558388*p^86*q^972+8007982*p^84*q^974 +25612845*p^82*q^976+10534446*p^80*q^978+433356*p^78*q^980+5348*p^76*q^982+6*p^ 93*q^964+3636*p^89*q^968+88716*p^87*q^970+2142582*p^85*q^972+18088400*p^83*q^ 974+22730984*p^81*q^976+3459722*p^79*q^978+54362*p^77*q^980+76*p^75*q^982+32*p^ 90*q^966+32684*p^88*q^968+436468*p^86*q^970+7297396*p^84*q^972+26423750*p^82*q^ 974+13144386*p^80*q^976+637004*p^78*q^978+4996*p^76*q^980+4*p^74*q^982+3538*p^ 89*q^966+70704*p^87*q^968+1901568*p^85*q^970+17178175*p^83*q^972+24867426*p^81* q^974+4683944*p^79*q^976+91434*p^77*q^978+950*p^75*q^980+70*p^92*q^962+32*p^90* q^964+22752*p^88*q^966+384970*p^86*q^968+6282626*p^84*q^970+26895675*p^82*q^972 +15570188*p^80*q^974+1074190*p^78*q^976+10228*p^76*q^978+1076*p^89*q^964+76938* p^87*q^966+1485989*p^85*q^968+15882598*p^83*q^970+27642362*p^81*q^972+6421260*p ^79*q^974+152560*p^77*q^976+1072*p^75*q^978+8*p^92*q^960+12*p^90*q^962+19048*p^ 88*q^964+284378*p^86*q^966+5610779*p^84*q^968+27154304*p^82*q^970+18584067*p^80 *q^972+1504956*p^78*q^974+14111*p^76*q^976+76*p^74*q^978+314*p^91*q^960+498*p^ 89*q^962+76922*p^87*q^964+1364400*p^85*q^966+14812588*p^83*q^968+29244194*p^81* q^970+8282859*p^79*q^972+255328*p^77*q^974+1583*p^75*q^976+12*p^90*q^960+11864* p^88*q^962+229624*p^86*q^964+4656644*p^84*q^966+26881187*p^82*q^968+21480522*p^ 80*q^970+2349305*p^78*q^972+32268*p^76*q^974+267*p^74*q^976+200*p^91*q^958+284* p^89*q^960+69982*p^87*q^962+1098316*p^85*q^964+13569410*p^83*q^966+31782659*p^ 81*q^968+10475990*p^79*q^970+381972*p^77*q^972+1964*p^75*q^974+684*p^90*q^958+ 5148*p^88*q^960+206494*p^86*q^962+4087872*p^84*q^964+26050188*p^82*q^966+ 24673543*p^80*q^968+3276634*p^78*q^970+51818*p^76*q^972+162*p^74*q^974+14*p^91* q^956+268*p^89*q^958+61276*p^87*q^960+900342*p^85*q^962+12306629*p^83*q^964+ 33362440*p^81*q^966+13006318*p^79*q^968+619604*p^77*q^970+4344*p^75*q^972+44*p^ 73*q^974+1292*p^90*q^956+3686*p^88*q^958+201032*p^86*q^960+3553408*p^84*q^962+ 25416632*p^82*q^964+27238758*p^80*q^966+4526866*p^78*q^968+83080*p^76*q^970+331 *p^74*q^972+12*p^91*q^954+820*p^89*q^956+36234*p^87*q^958+710890*p^85*q^960+ 10709884*p^83*q^962+34738348*p^81*q^964+16002264*p^79*q^966+1015530*p^77*q^968+ 10728*p^75*q^970+8*p^73*q^972+382*p^90*q^954+2382*p^88*q^956+190450*p^86*q^958+ 3003894*p^84*q^960+24516504*p^82*q^962+31151207*p^80*q^964+5922706*p^78*q^966+ 119976*p^76*q^968+210*p^74*q^970+3*p^72*q^972+3528*p^89*q^954+27958*p^87*q^956+ 615582*p^85*q^958+9832384*p^83*q^960+35194672*p^81*q^962+18585252*p^79*q^964+ 1459980*p^77*q^966+15486*p^75*q^968+44*p^73*q^970+248*p^90*q^952+1822*p^88*q^ 954+159392*p^86*q^956+2540914*p^84*q^958+22776262*p^82*q^960+33821924*p^80*q^ 962+8098306*p^78*q^964+248660*p^76*q^966+1924*p^74*q^968+2816*p^89*q^952+16610* p^87*q^954+530814*p^85*q^956+8410164*p^83*q^958+36516552*p^81*q^960+21943168*p^ 79*q^962+2102662*p^77*q^964+18946*p^75*q^966+20*p^90*q^950+4978*p^88*q^952+ 129568*p^86*q^954+2103892*p^84*q^956+21567048*p^82*q^958+37068064*p^80*q^960+ 10010546*p^78*q^962+366796*p^76*q^964+2456*p^74*q^966+3*p^72*q^968+2036*p^89*q^ 950+12630*p^87*q^952+491326*p^85*q^954+7490589*p^83*q^956+35890060*p^81*q^958+ 25419821*p^79*q^960+2967760*p^77*q^962+46100*p^75*q^964+176*p^73*q^966+12*p^90* q^948+8302*p^88*q^950+94508*p^86*q^952+1781476*p^84*q^954+19763975*p^82*q^956+ 39522276*p^80*q^958+12560492*p^78*q^960+595584*p^76*q^962+3182*p^74*q^964+776*p ^89*q^948+9002*p^87*q^950+427056*p^85*q^952+6444108*p^83*q^954+36000918*p^81*q^ 956+29111922*p^79*q^958+4245481*p^77*q^960+74316*p^75*q^962+410*p^73*q^964+8*p^ 90*q^946+8866*p^88*q^948+70420*p^86*q^950+1485096*p^84*q^952+18029254*p^82*q^ 954+42617518*p^80*q^956+15017262*p^78*q^958+842068*p^76*q^960+5900*p^74*q^962+ 164*p^89*q^946+13886*p^87*q^948+369484*p^85*q^950+5676414*p^83*q^952+35058254*p ^81*q^954+32831637*p^79*q^956+5600558*p^77*q^958+133226*p^75*q^960+466*p^73*q^ 962+6760*p^88*q^946+51166*p^86*q^948+1290592*p^84*q^950+16231540*p^82*q^952+ 43908090*p^80*q^954+18248402*p^78*q^956+1309120*p^76*q^958+12746*p^74*q^960+72* p^72*q^962+214*p^89*q^944+19920*p^87*q^946+297452*p^85*q^948+4722668*p^83*q^950 +34080268*p^81*q^952+37003802*p^79*q^954+7351160*p^77*q^956+213816*p^75*q^958+ 652*p^73*q^960+2148*p^88*q^944+34804*p^86*q^946+1116026*p^84*q^948+14721908*p^ 82*q^950+46461176*p^80*q^952+21336854*p^78*q^954+1908714*p^76*q^956+19882*p^74* q^958+32*p^72*q^960+20*p^89*q^942+26382*p^87*q^944+246246*p^85*q^946+4131108*p^ 83*q^948+32263148*p^81*q^950+41020132*p^79*q^952+9056874*p^77*q^954+305886*p^75 *q^956+1752*p^73*q^958+6*p^71*q^960+4*p^92*q^938+2254*p^88*q^942+35200*p^86*q^ 944+992898*p^84*q^946+13007660*p^82*q^948+46757120*p^80*q^950+25058959*p^78*q^ 952+2810296*p^76*q^954+49568*p^74*q^956+92*p^72*q^958+12*p^89*q^940+15552*p^87* q^942+172824*p^85*q^944+3375378*p^83*q^946+30587525*p^81*q^948+45010452*p^79*q^ 950+11728903*p^77*q^952+484016*p^75*q^954+1588*p^73*q^956+672*p^88*q^940+54878* p^86*q^942+850018*p^84*q^944+11736674*p^82*q^946+48435160*p^80*q^948+28982320*p ^78*q^950+3642963*p^76*q^952+62252*p^74*q^954+140*p^72*q^956+48*p^91*q^936+4*p^ 89*q^938+12920*p^87*q^940+128710*p^85*q^942+3002062*p^83*q^944+28266244*p^81*q^ 946+48577953*p^79*q^948+13701292*p^77*q^950+809844*p^75*q^952+8172*p^73*q^954+8 *p^71*q^956+212*p^88*q^938+55610*p^86*q^940+710892*p^84*q^942+10022841*p^82*q^ 944+47719236*p^80*q^946+33735157*p^78*q^948+5059884*p^76*q^950+104092*p^74*q^ 952+60*p^72*q^954+4*p^91*q^934+8*p^89*q^936+7732*p^87*q^938+110694*p^85*q^940+ 2567312*p^83*q^942+26478976*p^81*q^944+52099454*p^79*q^946+16823308*p^77*q^948+ 1157044*p^75*q^950+12116*p^73*q^952+4*p^71*q^954+220*p^90*q^934+96*p^88*q^936+ 48618*p^86*q^938+566114*p^84*q^940+8722466*p^82*q^942+47778217*p^80*q^944+ 38076336*p^78*q^946+6475278*p^76*q^948+168996*p^74*q^950+718*p^72*q^952+2848*p^ 87*q^936+130434*p^85*q^938+2240318*p^83*q^940+24396660*p^81*q^942+55749577*p^79 *q^944+19770616*p^77*q^946+1675088*p^75*q^948+19804*p^73*q^950+132*p^90*q^932+ 188*p^88*q^934+43060*p^86*q^936+426616*p^84*q^938+7676218*p^82*q^940+45629946*p ^80*q^942+43043485*p^78*q^944+8129288*p^76*q^946+290728*p^74*q^948+2000*p^72*q^ 950+480*p^89*q^932+1700*p^87*q^934+122962*p^85*q^936+1924970*p^83*q^938+ 21722273*p^81*q^940+58237330*p^79*q^942+23941498*p^77*q^944+2429586*p^75*q^946+ 32802*p^73*q^948+20*p^71*q^950+4*p^90*q^930+24*p^88*q^932+22340*p^86*q^934+ 362116*p^84*q^936+6502372*p^82*q^938+45424209*p^80*q^940+47917496*p^78*q^942+ 10022867*p^76*q^944+415312*p^74*q^946+2562*p^72*q^948+944*p^89*q^930+1580*p^87* q^932+137958*p^85*q^934+1641516*p^83*q^936+20021106*p^81*q^938+60240662*p^79*q^ 940+27474752*p^77*q^942+3222844*p^75*q^944+53444*p^73*q^946+212*p^71*q^948+4*p^ 90*q^928+512*p^88*q^930+16000*p^86*q^932+312988*p^84*q^934+5687206*p^82*q^936+ 42211102*p^80*q^938+53230795*p^78*q^940+12317802*p^76*q^942+720432*p^74*q^944+ 7898*p^72*q^946+200*p^89*q^928+726*p^87*q^930+104220*p^85*q^932+1302330*p^83*q^ 934+17533980*p^81*q^936+61821602*p^79*q^938+32775121*p^77*q^940+4308506*p^75*q^ 942+80734*p^73*q^944+134*p^71*q^946+2712*p^88*q^928+9866*p^86*q^930+319692*p^84 *q^932+4982068*p^82*q^934+41009636*p^80*q^936+57942868*p^78*q^938+14796941*p^76 *q^940+982576*p^74*q^942+7484*p^72*q^944+8*p^70*q^946+128*p^89*q^926+418*p^87*q ^928+82892*p^85*q^930+1081400*p^83*q^932+15590310*p^81*q^934+62688575*p^79*q^ 936+37090370*p^77*q^938+5496453*p^75*q^940+158376*p^73*q^942+1538*p^71*q^944+ 1916*p^88*q^926+7360*p^86*q^928+310626*p^84*q^930+4289806*p^82*q^932+37744328*p ^80*q^934+63188764*p^78*q^936+17755944*p^76*q^938+1484802*p^74*q^940+12658*p^72 *q^942+8*p^89*q^924+3598*p^87*q^926+56268*p^85*q^928+891698*p^83*q^930+13582516 *p^81*q^932+62318182*p^79*q^934+43095187*p^77*q^936+6992356*p^75*q^938+248569*p ^73*q^940+1538*p^71*q^942+1180*p^88*q^924+3174*p^86*q^926+274566*p^84*q^928+ 3642302*p^82*q^930+35550033*p^80*q^932+67395070*p^78*q^934+21537872*p^76*q^936+ 1954162*p^74*q^938+23756*p^72*q^940+140*p^70*q^942+6524*p^87*q^924+42508*p^85*q ^926+826992*p^83*q^928+12118806*p^81*q^930+62227651*p^79*q^932+48155580*p^77*q^ 934+8404666*p^75*q^936+387632*p^73*q^938+1298*p^71*q^940+408*p^88*q^922+3636*p^ 86*q^924+236866*p^84*q^926+3026562*p^82*q^928+32203700*p^80*q^930+71588044*p^78 *q^932+25264516*p^76*q^934+2820861*p^74*q^936+50898*p^72*q^938+432*p^70*q^940+4 *p^89*q^920+5898*p^87*q^922+28632*p^85*q^924+725282*p^83*q^926+10573560*p^81*q^ 928+60292524*p^79*q^930+55239648*p^77*q^932+10453314*p^75*q^934+570020*p^73*q^ 936+2592*p^71*q^938+16*p^88*q^920+9848*p^86*q^922+176190*p^84*q^924+2552310*p^ 82*q^926+29389002*p^80*q^928+74961152*p^78*q^930+29839077*p^76*q^932+3562798*p^ 74*q^934+78860*p^72*q^936+46*p^70*q^938+4068*p^87*q^920+16552*p^85*q^922+707278 *p^83*q^924+9223196*p^81*q^926+59726886*p^79*q^928+60294116*p^77*q^930+12670198 *p^75*q^932+824962*p^73*q^934+6890*p^71*q^936+78*p^69*q^938+124*p^88*q^918+ 15783*p^86*q^920+149002*p^84*q^922+2176542*p^82*q^924+26409862*p^80*q^926+ 77079171*p^78*q^928+34808080*p^76*q^930+4560565*p^74*q^932+144736*p^72*q^934+ 224*p^70*q^936+844*p^87*q^918+13528*p^85*q^920+578654*p^83*q^922+7856949*p^81*q ^924+56058480*p^79*q^926+68317608*p^77*q^928+15378782*p^75*q^930+1254324*p^73*q ^932+13314*p^71*q^934+8*p^88*q^916+17576*p^86*q^918+103128*p^84*q^920+1933196*p ^82*q^922+24035556*p^80*q^924+79791100*p^78*q^926+40480268*p^76*q^928+5571648*p ^74*q^930+178780*p^72*q^932+536*p^70*q^934+6*p^68*q^936+1220*p^87*q^916+24552*p ^85*q^918+515290*p^83*q^920+6823936*p^81*q^922+53588504*p^79*q^924+72660546*p^ 77*q^926+18435880*p^75*q^928+1696032*p^73*q^930+29368*p^71*q^932+16*p^69*q^934+ 8930*p^86*q^916+64526*p^84*q^918+1683999*p^82*q^920+21054154*p^80*q^922+ 81168780*p^78*q^924+46636048*p^76*q^926+7083418*p^74*q^928+325650*p^72*q^930+ 1588*p^70*q^932+2*p^91*q^910+356*p^87*q^914+40312*p^85*q^916+435736*p^83*q^918+ 5786933*p^81*q^920+50249968*p^79*q^922+79745583*p^77*q^924+22016578*p^75*q^926+ 2221656*p^73*q^928+34832*p^71*q^930+20*p^69*q^932+6700*p^86*q^914+52760*p^84*q^ 916+1462884*p^82*q^918+18863744*p^80*q^920+80662452*p^78*q^922+53711819*p^76*q^ 924+8522948*p^74*q^926+501900*p^72*q^928+4444*p^70*q^930+32*p^87*q^912+36748*p^ 85*q^914+329770*p^83*q^916+5070468*p^81*q^918+47006556*p^79*q^920+84900550*p^77 *q^922+26200796*p^75*q^924+2820718*p^73*q^926+59946*p^71*q^928+60*p^69*q^930+26 *p^90*q^908+4*p^88*q^910+4362*p^86*q^912+70550*p^84*q^914+1330160*p^82*q^916+ 16440784*p^80*q^918+80600085*p^78*q^920+59591164*p^76*q^922+10435073*p^74*q^924 +728864*p^72*q^926+7180*p^70*q^928+20*p^87*q^910+27980*p^85*q^912+227876*p^83*q ^914+4250334*p^81*q^916+42837816*p^79*q^918+91065346*p^77*q^920+31329444*p^75*q ^922+3742768*p^73*q^924+114882*p^71*q^926+508*p^69*q^928+1088*p^86*q^910+82138* p^84*q^912+1163478*p^82*q^914+14470400*p^80*q^916+79107238*p^78*q^918+68123237* p^76*q^920+12502488*p^74*q^922+932798*p^72*q^924+7008*p^70*q^926+132*p^89*q^906 +108*p^87*q^908+24654*p^85*q^910+206017*p^83*q^912+3759546*p^81*q^914+39715573* p^79*q^916+93957578*p^77*q^918+36335741*p^75*q^920+4460018*p^73*q^922+187951*p^ 71*q^924+1228*p^69*q^926+752*p^86*q^908+80710*p^84*q^910+927844*p^82*q^912+ 12549358*p^80*q^914+76706128*p^78*q^916+74999154*p^76*q^918+15511375*p^74*q^920 +1392952*p^72*q^922+20340*p^70*q^924+32*p^68*q^926+48*p^89*q^904+8*p^87*q^906+ 11162*p^85*q^908+178120*p^83*q^910+3280848*p^81*q^912+35373942*p^79*q^914+ 99173841*p^77*q^916+42420554*p^75*q^918+5540601*p^73*q^920+258626*p^71*q^922+ 668*p^69*q^924+330*p^88*q^904+840*p^86*q^906+80502*p^84*q^908+757918*p^82*q^910 +10958661*p^80*q^912+74158240*p^78*q^914+83616797*p^76*q^916+18387550*p^74*q^ 918+1766723*p^72*q^920+34796*p^70*q^922+134*p^68*q^924+8188*p^85*q^906+187388*p ^83*q^908+2925834*p^81*q^910+32289298*p^79*q^912+100523514*p^77*q^914+49032604* p^75*q^916+6699262*p^73*q^918+391776*p^71*q^920+2360*p^69*q^922+464*p^88*q^902+ 364*p^86*q^904+59314*p^84*q^906+612480*p^82*q^908+9368850*p^80*q^910+70339522*p ^78*q^912+90368532*p^76*q^914+22410016*p^74*q^916+2293714*p^72*q^918+65458*p^70 *q^920+88*p^68*q^922+420*p^87*q^902+4824*p^85*q^904+186502*p^83*q^906+2459301*p ^81*q^908+28609738*p^79*q^910+103683975*p^77*q^912+56341082*p^75*q^914+8310587* p^73*q^916+565784*p^71*q^918+4668*p^69*q^920+8*p^67*q^922+44*p^88*q^900+52*p^86 *q^902+44861*p^84*q^904+525452*p^82*q^906+8227581*p^80*q^908+66170428*p^78*q^ 910+99099443*p^76*q^912+26235302*p^74*q^914+2795800*p^72*q^916+87046*p^70*q^918 +112*p^68*q^920+1660*p^87*q^900+4012*p^85*q^902+179280*p^83*q^904+2123740*p^81* q^906+25723221*p^79*q^908+103160990*p^77*q^910+64449152*p^75*q^912+10030118*p^ 73*q^914+804186*p^71*q^916+11834*p^69*q^918+8*p^67*q^920+44*p^88*q^898+276*p^86 *q^900+29568*p^84*q^902+480764*p^82*q^904+7174808*p^80*q^906+61541765*p^78*q^ 908+104826922*p^76*q^910+31374872*p^74*q^912+3465446*p^72*q^914+140728*p^70*q^ 916+588*p^68*q^918+724*p^87*q^898+1468*p^85*q^900+156706*p^83*q^902+1722302*p^ 81*q^904+22326936*p^79*q^906+104328707*p^77*q^908+72632618*p^75*q^910+12498588* p^73*q^912+1077574*p^71*q^914+19444*p^69*q^916+2736*p^86*q^898+22108*p^84*q^900 +421236*p^82*q^902+6274188*p^80*q^904+57387942*p^78*q^906+112770185*p^76*q^908+ 36668832*p^74*q^910+4189978*p^72*q^912+202298*p^70*q^914+920*p^68*q^916+488*p^ 87*q^896+736*p^85*q^898+132388*p^83*q^900+1532820*p^81*q^902+19941326*p^79*q^ 904+101173684*p^77*q^906+81947730*p^75*q^908+14740544*p^73*q^910+1358218*p^71*q ^912+28132*p^69*q^914+44*p^67*q^916+3488*p^86*q^896+15488*p^84*q^898+417058*p^ 82*q^900+5336202*p^80*q^902+52628896*p^78*q^904+117258040*p^76*q^906+43188493*p ^74*q^908+5234410*p^72*q^910+347456*p^70*q^912+4020*p^68*q^914+102*p^87*q^894+ 2236*p^85*q^896+93016*p^83*q^898+1231868*p^81*q^900+17197064*p^79*q^902+ 99348259*p^77*q^904+91045740*p^75*q^906+18182094*p^73*q^908+1748210*p^71*q^910+ 38175*p^69*q^912+12*p^67*q^914+2608*p^86*q^894+7922*p^84*q^896+382958*p^82*q^ 898+4705384*p^80*q^900+47967168*p^78*q^902+124618183*p^76*q^904+49555892*p^74*q ^906+6308584*p^72*q^908+431712*p^70*q^910+4618*p^68*q^912+7374*p^85*q^894+82110 *p^83*q^896+1132238*p^81*q^898+15253886*p^79*q^900+95462596*p^77*q^902+ 100017901*p^75*q^904+21472022*p^73*q^906+2076102*p^71*q^908+83154*p^69*q^910+ 478*p^67*q^912+1514*p^86*q^892+3908*p^84*q^894+320282*p^82*q^896+3936198*p^80*q ^898+43186372*p^78*q^900+126044414*p^76*q^902+58647633*p^74*q^904+7826218*p^72* q^906+654695*p^70*q^908+7284*p^68*q^910+40*p^87*q^890+8124*p^85*q^892+55216*p^ 83*q^894+987375*p^81*q^896+13251460*p^79*q^898+91935058*p^77*q^900+109952458*p^ 75*q^902+25711887*p^73*q^904+2574416*p^71*q^906+109676*p^69*q^908+612*p^67*q^ 910+148*p^86*q^890+9412*p^84*q^892+283300*p^82*q^894+3393972*p^80*q^896+ 38750216*p^78*q^898+130414578*p^76*q^900+66011980*p^74*q^902+9599921*p^72*q^904 +800378*p^70*q^906+14014*p^68*q^908+22*p^66*q^910+8050*p^85*q^890+31900*p^83*q^ 892+874142*p^81*q^894+11629090*p^79*q^896+86775672*p^77*q^898+119884479*p^75*q^ 900+30260488*p^73*q^902+3117818*p^71*q^904+176326*p^69*q^906+1108*p^67*q^908+ 524*p^86*q^888+15840*p^84*q^890+245008*p^82*q^892+2989450*p^80*q^894+34658564*p ^78*q^896+129623818*p^76*q^898+75631944*p^74*q^900+11652270*p^72*q^902+1029742* p^70*q^904+24156*p^68*q^906+52*p^66*q^908+2716*p^85*q^888+21436*p^83*q^890+ 790250*p^81*q^892+9814018*p^79*q^894+81400100*p^77*q^896+128502592*p^75*q^898+ 36574275*p^73*q^900+3872780*p^71*q^902+274412*p^69*q^904+2578*p^67*q^906+72*p^ 86*q^886+21412*p^84*q^888+174968*p^82*q^890+2484330*p^80*q^892+30975016*p^78*q^ 894+132620865*p^76*q^896+85127336*p^74*q^898+13966904*p^72*q^900+1221718*p^70*q ^902+30277*p^68*q^904+68*p^66*q^906+2954*p^85*q^886+31540*p^83*q^888+738248*p^ 81*q^890+8871165*p^79*q^892+75438080*p^77*q^894+136988576*p^75*q^896+41782832*p ^73*q^898+4743175*p^71*q^900+348832*p^69*q^902+4516*p^67*q^904+4*p^86*q^884+ 15148*p^84*q^886+114696*p^82*q^888+2152196*p^80*q^890+26902005*p^78*q^892+ 128539960*p^76*q^894+97038422*p^74*q^896+17085350*p^72*q^898+1555715*p^70*q^900 +73486*p^68*q^902+566*p^66*q^904+1416*p^85*q^884+36738*p^83*q^886+638764*p^81*q ^888+7511436*p^79*q^890+70168593*p^77*q^892+144567062*p^75*q^894+49702961*p^73* q^896+5838558*p^71*q^898+459372*p^69*q^900+3306*p^67*q^902+11440*p^84*q^884+ 99860*p^82*q^886+1938210*p^80*q^888+23839762*p^78*q^890+127736351*p^76*q^892+ 106700032*p^74*q^894+20362540*p^72*q^896+1833352*p^70*q^898+94598*p^68*q^900+ 728*p^66*q^902+346*p^85*q^882+42114*p^83*q^884+502256*p^81*q^886+6514696*p^79*q ^888+64076020*p^77*q^890+151931164*p^75*q^892+56862000*p^73*q^894+7192127*p^71* q^896+582728*p^69*q^898+12536*p^67*q^900+60*p^65*q^902+36*p^86*q^880+10132*p^84 *q^882+88928*p^82*q^884+1763102*p^80*q^886+21045094*p^78*q^888+122155700*p^76*q ^890+119117598*p^74*q^892+24229668*p^72*q^894+2245935*p^70*q^896+144754*p^68*q^ 898+348*p^66*q^900+204*p^85*q^880+33484*p^83*q^882+383912*p^81*q^884+5455182*p^ 79*q^886+57793356*p^77*q^888+156529284*p^75*q^890+66895451*p^73*q^892+8885568*p ^71*q^894+767402*p^69*q^896+21454*p^67*q^898+176*p^65*q^900+3988*p^84*q^880+ 90822*p^82*q^882+1577886*p^80*q^884+18518444*p^78*q^886+119813986*p^76*q^888+ 130071344*p^74*q^890+28756059*p^72*q^892+2719696*p^70*q^894+173928*p^68*q^896+ 1048*p^66*q^898+372*p^85*q^878+36780*p^83*q^880+325294*p^81*q^882+4870448*p^79* q^884+52121162*p^77*q^886+161134900*p^75*q^888+75233932*p^73*q^890+10729149*p^ 71*q^892+874688*p^69*q^894+36668*p^67*q^896+24*p^65*q^898+3012*p^84*q^878+81188 *p^82*q^880+1319000*p^80*q^882+15951983*p^78*q^884+112218014*p^76*q^886+ 142612992*p^74*q^888+34058400*p^72*q^890+3512538*p^70*q^892+275692*p^68*q^894+ 3660*p^66*q^896+36*p^64*q^898+72*p^85*q^876+23608*p^83*q^878+269164*p^81*q^880+ 4233560*p^79*q^882+46789708*p^77*q^884+162197378*p^75*q^886+87478511*p^73*q^888 +12870854*p^71*q^890+1040048*p^69*q^892+45672*p^67*q^894+24*p^65*q^896+1868*p^ 84*q^876+84402*p^82*q^878+1101960*p^80*q^880+13905800*p^78*q^882+107167400*p^76 *q^884+153405372*p^74*q^886+40305036*p^72*q^888+4296500*p^70*q^890+350486*p^68* q^892+6420*p^66*q^894+19822*p^83*q^876+239516*p^81*q^878+3840756*p^79*q^880+ 42002510*p^77*q^882+165085179*p^75*q^884+97117920*p^73*q^886+15405539*p^71*q^ 888+1233844*p^69*q^890+64798*p^67*q^892+362*p^65*q^894+3*p^63*q^896+1472*p^84*q ^874+80178*p^82*q^876+920534*p^80*q^878+12070007*p^78*q^880+98449062*p^76*q^882 +164463948*p^74*q^884+47104942*p^72*q^886+5426451*p^70*q^888+434478*p^68*q^890+ 13648*p^66*q^892+10262*p^83*q^874+188900*p^81*q^876+3217324*p^79*q^878+36909794 *p^77*q^880+162972964*p^75*q^882+112022928*p^73*q^884+18602040*p^71*q^886+ 1574926*p^69*q^888+108952*p^67*q^890+516*p^65*q^892+270*p^84*q^872+72952*p^82*q ^874+810222*p^80*q^876+10551688*p^78*q^878+92973956*p^76*q^880+173632164*p^74*q ^882+54878767*p^72*q^884+6361052*p^70*q^886+474734*p^68*q^888+9858*p^66*q^890+8 *p^64*q^892+9756*p^83*q^872+194976*p^81*q^874+2865498*p^79*q^876+32812346*p^77* q^878+161363102*p^75*q^880+122535144*p^73*q^882+22188103*p^71*q^884+2025962*p^ 69*q^886+159632*p^67*q^888+3318*p^65*q^890+128*p^84*q^870+55264*p^82*q^872+ 630898*p^80*q^874+9192266*p^78*q^876+84218138*p^76*q^878+183879276*p^74*q^880+ 63909626*p^72*q^882+7924158*p^70*q^884+569780*p^68*q^886+22190*p^66*q^888+8*p^ 64*q^890+36*p^85*q^868+4694*p^83*q^870+184022*p^81*q^872+2454594*p^79*q^874+ 28827278*p^77*q^876+156450666*p^75*q^878+138517464*p^73*q^880+26196084*p^71*q^ 882+2497394*p^69*q^884+196808*p^67*q^886+2126*p^65*q^888+40372*p^82*q^870+ 530824*p^80*q^872+7956884*p^78*q^874+77372225*p^76*q^876+190176272*p^74*q^878+ 74018963*p^72*q^880+9487952*p^70*q^882+688781*p^68*q^884+40120*p^66*q^886+388*p ^64*q^888+2064*p^83*q^868+184852*p^81*q^870+2137300*p^79*q^872+25551018*p^77*q^ 874+153083512*p^75*q^876+150509572*p^73*q^878+31358572*p^71*q^880+3035702*p^69* q^882+222842*p^67*q^884+2714*p^65*q^886+412*p^84*q^866+32860*p^82*q^868+470646* p^80*q^870+7021738*p^78*q^872+69603782*p^76*q^874+196213005*p^74*q^876+84328462 *p^72*q^878+11427492*p^70*q^880+895782*p^68*q^882+65726*p^66*q^884+740*p^64*q^ 886+636*p^83*q^866+141378*p^81*q^868+1727318*p^79*q^870+21979054*p^77*q^872+ 144458698*p^75*q^874+167440923*p^73*q^876+37150742*p^71*q^878+3910681*p^69*q^ 880+271842*p^67*q^882+6368*p^65*q^884+8*p^63*q^886+64*p^84*q^864+17300*p^82*q^ 866+441696*p^80*q^868+6092658*p^78*q^870+63699978*p^76*q^872+200451146*p^74*q^ 874+97118319*p^72*q^876+13410248*p^70*q^878+1063138*p^68*q^880+74504*p^66*q^882 +144*p^64*q^884+2032*p^83*q^864+132780*p^81*q^866+1515046*p^79*q^868+19574584*p ^77*q^870+138220935*p^75*q^872+177897490*p^73*q^874+43474579*p^71*q^876+4631184 *p^69*q^878+311300*p^67*q^880+14664*p^65*q^882+160*p^63*q^884+4*p^84*q^862+9430 *p^82*q^864+403962*p^80*q^866+5328397*p^78*q^868+56034474*p^76*q^870+203827942* p^74*q^872+109811030*p^72*q^874+16646514*p^70*q^876+1414306*p^68*q^878+113388*p ^66*q^880+676*p^64*q^882+1356*p^83*q^862+93864*p^81*q^864+1209952*p^79*q^866+ 16701764*p^77*q^868+129100138*p^75*q^870+194591555*p^73*q^872+51081812*p^71*q^ 874+5577646*p^69*q^876+367394*p^67*q^878+19928*p^65*q^880+8*p^84*q^860+7386*p^ 82*q^862+386108*p^80*q^864+4599948*p^78*q^866+51149187*p^76*q^868+202453340*p^ 74*q^870+125473096*p^72*q^872+19368692*p^70*q^874+1752792*p^68*q^876+121888*p^ 66*q^878+1752*p^64*q^880+14*p^62*q^882+188*p^83*q^860+63666*p^81*q^862+1082690* p^79*q^864+14819078*p^77*q^866+120460361*p^75*q^868+204259250*p^73*q^870+ 59432530*p^71*q^872+6701848*p^69*q^874+456894*p^67*q^876+31746*p^65*q^878+32*p^ 63*q^880+16*p^84*q^858+10174*p^82*q^860+334992*p^80*q^862+3942930*p^78*q^864+ 44565708*p^76*q^866+202500752*p^74*q^868+138847138*p^72*q^870+23737516*p^70*q^ 872+2204856*p^68*q^874+145300*p^66*q^876+4716*p^64*q^878+196*p^83*q^858+35620*p ^81*q^860+975400*p^79*q^862+12946937*p^77*q^864+111246386*p^75*q^866+218494745* p^73*q^868+69383064*p^71*q^870+8101101*p^69*q^872+591742*p^67*q^874+44898*p^65* q^876+80*p^63*q^878+8*p^84*q^856+3092*p^82*q^858+272094*p^80*q^860+3256106*p^78 *q^862+39429096*p^76*q^864+197387868*p^74*q^866+156678518*p^72*q^868+27611082*p ^70*q^870+2651498*p^68*q^872+157030*p^66*q^874+5456*p^64*q^876+180*p^83*q^856+ 43160*p^81*q^858+917114*p^79*q^860+11370126*p^77*q^862+103703294*p^75*q^864+ 226469388*p^73*q^866+80029809*p^71*q^868+9636900*p^69*q^870+741499*p^67*q^872+ 56274*p^65*q^874+672*p^63*q^876+28*p^84*q^854+2498*p^82*q^856+186614*p^80*q^858 +2804602*p^78*q^860+34637608*p^76*q^862+191636844*p^74*q^864+171036864*p^72*q^ 866+33410607*p^70*q^868+3253622*p^68*q^870+199251*p^66*q^872+11498*p^64*q^874+ 132*p^83*q^854+26112*p^81*q^856+827786*p^79*q^858+9782148*p^77*q^860+92800534*p ^75*q^862+238779464*p^73*q^864+92546434*p^71*q^866+11771970*p^69*q^868+972528*p ^67*q^870+68046*p^65*q^872+1032*p^63*q^874+1276*p^82*q^854+149060*p^80*q^856+ 2418236*p^78*q^858+30653944*p^76*q^860+185186700*p^74*q^862+189598263*p^72*q^ 864+38621566*p^70*q^866+3837448*p^68*q^868+222802*p^66*q^870+14732*p^64*q^872+ 24*p^62*q^874+316*p^83*q^852+18804*p^81*q^854+709864*p^79*q^856+8535374*p^77*q^ 858+85160211*p^75*q^860+240903680*p^73*q^862+106230672*p^71*q^864+14013352*p^69 *q^866+1210464*p^67*q^868+72472*p^65*q^870+1686*p^63*q^872+4*p^84*q^850+1348*p^ 82*q^852+129840*p^80*q^854+2202454*p^78*q^856+26811244*p^76*q^858+176752524*p^ 74*q^860+204378876*p^72*q^862+46158735*p^70*q^864+4596644*p^68*q^866+302104*p^ 66*q^868+27096*p^64*q^870+216*p^62*q^872+56*p^83*q^850+10328*p^81*q^852+520874* p^79*q^854+7139746*p^77*q^856+75458938*p^75*q^858+248963584*p^73*q^860+ 120817240*p^71*q^862+17207282*p^69*q^864+1538418*p^67*q^866+85883*p^65*q^868+ 2254*p^63*q^870+1692*p^82*q^850+94132*p^80*q^852+2017070*p^78*q^854+23792060*p^ 76*q^856+167891872*p^74*q^858+224310334*p^72*q^860+53360252*p^70*q^862+5410984* p^68*q^864+367292*p^66*q^866+26826*p^64*q^868+108*p^62*q^870+76*p^83*q^848+8276 *p^81*q^850+477984*p^79*q^852+6162324*p^77*q^854+68485683*p^75*q^856+246469004* p^73*q^858+136484672*p^71*q^860+20112704*p^69*q^862+1845242*p^67*q^864+89230*p^ 65*q^866+6900*p^63*q^868+20*p^61*q^870+1032*p^82*q^848+68992*p^80*q^850+1673470 *p^78*q^852+20531808*p^76*q^854+156752101*p^74*q^856+237836406*p^72*q^858+ 63667712*p^70*q^860+6799248*p^68*q^862+529910*p^66*q^864+37966*p^64*q^866+224*p ^62*q^868+8*p^83*q^846+8436*p^81*q^848+362602*p^79*q^850+5505004*p^77*q^852+ 60260586*p^75*q^854+250539460*p^73*q^856+152841808*p^71*q^858+24147424*p^69*q^ 860+2088950*p^67*q^862+99840*p^65*q^864+8452*p^63*q^866+656*p^82*q^846+41234*p^ 80*q^848+1472018*p^78*q^850+17810026*p^76*q^852+146131008*p^74*q^854+254990891* p^72*q^856+73391146*p^70*q^858+8155558*p^68*q^860+704418*p^66*q^862+38722*p^64* q^864+888*p^62*q^866+6880*p^81*q^846+313144*p^79*q^848+4759988*p^77*q^850+ 54328822*p^75*q^852+244611556*p^73*q^854+172788270*p^71*q^856+28176686*p^69*q^ 858+2500990*p^67*q^860+128316*p^65*q^862+11989*p^63*q^864+10*p^61*q^866+320*p^ 82*q^844+44736*p^80*q^846+1237909*p^78*q^848+15572668*p^76*q^850+134795516*p^74 *q^852+265442158*p^72*q^854+85240512*p^70*q^856+9911488*p^68*q^858+853178*p^66* q^860+34348*p^64*q^862+2116*p^62*q^864+4404*p^81*q^844+201066*p^79*q^846+ 4129988*p^77*q^848+47194206*p^75*q^850+241299777*p^73*q^852+191141714*p^71*q^ 854+34500301*p^69*q^856+3042620*p^67*q^858+212864*p^65*q^860+19414*p^63*q^862+ 40*p^61*q^864+24*p^82*q^842+30828*p^80*q^844+1052988*p^78*q^846+13533490*p^76*q ^848+123644406*p^74*q^850+281821415*p^72*q^852+97491066*p^70*q^854+11685164*p^ 68*q^856+956808*p^66*q^858+25046*p^64*q^860+1924*p^62*q^862+3596*p^81*q^842+ 187522*p^79*q^844+3686522*p^77*q^846+42390479*p^75*q^848+232662802*p^73*q^850+ 210612427*p^71*q^852+39799172*p^69*q^854+3718683*p^67*q^856+300858*p^65*q^858+ 17046*p^63*q^860+372*p^61*q^862+12*p^82*q^840+25618*p^80*q^842+827764*p^78*q^ 844+11560034*p^76*q^846+112271706*p^74*q^848+285862664*p^72*q^850+113793246*p^ 70*q^852+14266230*p^68*q^854+1175222*p^66*q^856+44288*p^64*q^858+6572*p^62*q^ 860+26*p^83*q^838+1068*p^81*q^840+140466*p^79*q^842+3151692*p^77*q^844+36800344 *p^75*q^846+225773495*p^73*q^848+231120344*p^71*q^850+47493627*p^69*q^852+ 4463850*p^67*q^854+365226*p^65*q^856+10650*p^63*q^858+88*p^61*q^860+21260*p^80* q^840+665792*p^78*q^842+10220063*p^76*q^844+101414750*p^74*q^846+298741730*p^72 *q^848+127613302*p^70*q^850+16984128*p^68*q^852+1326322*p^66*q^854+77038*p^64*q ^856+7590*p^62*q^858+28*p^60*q^860+8*p^83*q^836+468*p^81*q^838+113790*p^79*q^ 840+2745690*p^77*q^842+32705832*p^75*q^844+213272866*p^73*q^846+252226063*p^71* q^848+55226662*p^69*q^850+5468938*p^67*q^852+445218*p^65*q^854+6824*p^63*q^856+ 1162*p^61*q^858+268*p^82*q^836+13016*p^80*q^838+579426*p^78*q^840+8834984*p^76* q^842+91296222*p^74*q^844+297807148*p^72*q^846+147044449*p^70*q^848+20297692*p^ 68*q^850+1623604*p^66*q^852+115260*p^64*q^854+7634*p^62*q^856+14*p^83*q^834+140 *p^81*q^836+95370*p^79*q^838+2188920*p^77*q^840+27944952*p^75*q^842+202520757*p ^73*q^844+270763410*p^71*q^846+65649089*p^69*q^848+6678542*p^67*q^850+541150*p^ 65*q^852+13100*p^63*q^854+2228*p^61*q^856+120*p^82*q^834+5980*p^80*q^836+432864 *p^78*q^838+7945371*p^76*q^840+82253696*p^74*q^842+304319294*p^72*q^844+ 164315604*p^70*q^846+24023828*p^68*q^848+1874990*p^66*q^850+140054*p^64*q^852+ 2914*p^62*q^854+74*p^60*q^856+1076*p^81*q^834+78616*p^79*q^836+1938316*p^77*q^ 838+24620541*p^75*q^840+188219758*p^73*q^842+290936341*p^71*q^844+75087534*p^69 *q^846+8064909*p^67*q^848+617548*p^65*q^850+25664*p^63*q^852+3292*p^61*q^854+ 173*p^82*q^832+3184*p^80*q^834+374090*p^78*q^836+6692338*p^76*q^838+73492173*p^ 74*q^840+299633696*p^72*q^842+186860168*p^70*q^844+28728506*p^68*q^846+2412540* p^66*q^848+201676*p^64*q^850+1490*p^62*q^852+404*p^60*q^854+4*p^83*q^830+1056*p ^81*q^832+49106*p^79*q^834+1549876*p^77*q^836+21397614*p^75*q^838+175312768*p^ 73*q^840+306593644*p^71*q^842+88381176*p^69*q^844+9748912*p^67*q^846+675374*p^ 65*q^848+36912*p^63*q^850+2896*p^61*q^852+16*p^82*q^830+2916*p^80*q^832+314988* p^78*q^834+5763700*p^76*q^836+64444552*p^74*q^838+300047209*p^72*q^840+ 207224524*p^70*q^842+34080369*p^68*q^844+2882208*p^66*q^846+242518*p^64*q^848+ 3340*p^62*q^850+636*p^60*q^852+1042*p^81*q^830+30684*p^79*q^832+1318428*p^77*q^ 834+19092026*p^75*q^836+162300642*p^73*q^838+324215067*p^71*q^840+100446138*p^ 69*q^842+11530956*p^67*q^844+780618*p^65*q^846+52862*p^63*q^848+404*p^61*q^850+ 36*p^59*q^852+82*p^82*q^828+5282*p^80*q^830+259922*p^78*q^832+4929762*p^76*q^ 834+57032573*p^74*q^836+287263446*p^72*q^838+231866676*p^70*q^840+40281026*p^68 *q^842+3730070*p^66*q^844+294172*p^64*q^846+8248*p^62*q^848+1622*p^60*q^850+484 *p^81*q^828+16326*p^79*q^830+1067760*p^77*q^832+16277928*p^75*q^834+148618712*p ^73*q^836+336916990*p^71*q^838+117897939*p^69*q^840+13839750*p^67*q^842+959042* p^65*q^844+76036*p^63*q^846+180*p^61*q^848+36*p^59*q^850+8*p^82*q^826+4464*p^80 *q^828+183296*p^78*q^830+4242388*p^76*q^832+50466046*p^74*q^834+283571818*p^72* q^836+252342182*p^70*q^838+47256640*p^68*q^840+4357342*p^66*q^842+292136*p^64*q ^844+9730*p^62*q^846+478*p^60*q^848+608*p^81*q^826+19574*p^79*q^828+963676*p^77 *q^830+14317342*p^75*q^832+134708838*p^73*q^834+349894947*p^71*q^836+133174656* p^69*q^838+16613958*p^67*q^840+1200894*p^65*q^842+110124*p^63*q^844+1120*p^61*q ^846+434*p^59*q^848+4128*p^80*q^826+119588*p^78*q^828+3464174*p^76*q^830+ 44368671*p^74*q^832+268017094*p^72*q^834+279278227*p^70*q^836+55526004*p^68*q^ 838+5441219*p^66*q^840+329764*p^64*q^842+17034*p^62*q^844+252*p^81*q^824+17358* p^79*q^826+774288*p^77*q^828+12308512*p^75*q^830+122248392*p^73*q^832+355232142 *p^71*q^834+154626461*p^69*q^836+19704744*p^67*q^838+1520463*p^65*q^840+132326* p^63*q^842+1862*p^61*q^844+348*p^59*q^846+2944*p^80*q^824+87278*p^78*q^826+ 3013314*p^76*q^828+38659838*p^74*q^830+258279938*p^72*q^832+300127198*p^70*q^ 834+65050818*p^68*q^836+6369354*p^66*q^838+361596*p^64*q^840+25690*p^62*q^842+ 48*p^60*q^844+44*p^58*q^846+22*p^81*q^822+18613*p^79*q^824+600204*p^77*q^826+ 10737116*p^75*q^828+109815610*p^73*q^830+363319170*p^71*q^832+172597316*p^69*q^ 834+23476294*p^67*q^836+1914468*p^65*q^838+137166*p^63*q^840+2306*p^61*q^842+20 *p^82*q^820+2748*p^80*q^822+76547*p^78*q^824+2605426*p^76*q^826+34221604*p^74*q ^828+240303536*p^72*q^830+325999502*p^70*q^832+75716428*p^68*q^834+7700663*p^66 *q^836+453872*p^64*q^838+48270*p^62*q^840+344*p^60*q^842+134*p^58*q^844+28*p^81 *q^820+13610*p^79*q^822+433136*p^77*q^824+8924156*p^75*q^826+97681066*p^73*q^ 828+362149886*p^71*q^830+198383960*p^69*q^832+28083324*p^67*q^834+2437278*p^65* q^836+145370*p^63*q^838+3502*p^61*q^840+616*p^80*q^820+64196*p^78*q^822+2165702 *p^76*q^824+29901554*p^74*q^826+228847219*p^72*q^828+346203416*p^70*q^830+ 88689899*p^68*q^832+8923394*p^66*q^834+550595*p^64*q^836+51826*p^62*q^838+142*p ^60*q^840+208*p^81*q^818+14422*p^79*q^820+362160*p^77*q^822+7970754*p^75*q^824+ 87348690*p^73*q^826+361402023*p^71*q^828+218455368*p^69*q^830+33071340*p^67*q^ 832+2883114*p^65*q^834+140078*p^63*q^836+11304*p^61*q^838+30*p^59*q^840+26*p^57 *q^842+516*p^80*q^818+57374*p^78*q^820+1757790*p^76*q^822+25764196*p^74*q^824+ 208886880*p^72*q^826+370221724*p^70*q^828+102765056*p^68*q^830+11135576*p^66*q^ 832+794852*p^64*q^834+69998*p^62*q^836+268*p^60*q^838+32*p^81*q^816+7970*p^79*q ^818+260163*p^77*q^820+6615782*p^75*q^822+77790057*p^73*q^824+354389306*p^71*q^ 826+247437269*p^69*q^828+38987384*p^67*q^830+3407234*p^65*q^832+139634*p^63*q^ 834+14300*p^61*q^836+885*p^80*q^816+52194*p^78*q^818+1444716*p^76*q^820+ 22608496*p^74*q^822+194850610*p^72*q^824+385017200*p^70*q^826+118978069*p^68*q^ 828+13020446*p^66*q^830+1011112*p^64*q^832+66446*p^62*q^834+1384*p^60*q^836+2*p ^56*q^840+4692*p^79*q^816+224578*p^77*q^818+5788494*p^75*q^820+68427694*p^73*q^ 822+350147024*p^71*q^824+270275690*p^69*q^826+46261962*p^67*q^828+3998806*p^65* q^830+193502*p^63*q^832+21794*p^61*q^834+6*p^59*q^836+4*p^82*q^812+652*p^80*q^ 814+47942*p^78*q^816+1148882*p^76*q^818+19539051*p^74*q^820+176265660*p^72*q^ 822+403692952*p^70*q^824+136380280*p^68*q^826+15859802*p^66*q^828+1275630*p^64* q^830+51624*p^62*q^832+3232*p^60*q^834+3500*p^79*q^814+181468*p^77*q^816+ 4727240*p^75*q^818+60471478*p^73*q^820+334258752*p^71*q^822+303790015*p^69*q^ 824+54110806*p^67*q^826+4862660*p^65*q^828+281284*p^63*q^830+34018*p^61*q^832+ 64*p^59*q^834+8*p^82*q^810+84*p^80*q^812+30038*p^78*q^814+904537*p^76*q^816+ 16875602*p^74*q^818+162100808*p^72*q^820+414512042*p^70*q^822+156758642*p^68*q^ 824+18684322*p^66*q^826+1458074*p^64*q^828+39294*p^62*q^830+3196*p^60*q^832+40* p^81*q^810+4068*p^79*q^812+178170*p^77*q^814+4170903*p^75*q^816+53248062*p^73*q ^818+323532400*p^71*q^820+324986618*p^69*q^822+63836096*p^67*q^824+5784382*p^65 *q^826+404756*p^63*q^828+29074*p^61*q^830+512*p^59*q^832+4*p^82*q^808+68*p^80*q ^810+22669*p^78*q^812+713788*p^76*q^814+14384892*p^74*q^816+144850566*p^72*q^ 818+425828135*p^70*q^820+178007736*p^68*q^822+22606784*p^66*q^824+1781648*p^64* q^826+58560*p^62*q^828+10652*p^60*q^830+88*p^81*q^808+1756*p^79*q^810+142328*p^ 77*q^812+3359162*p^75*q^814+46762354*p^73*q^816+305473408*p^71*q^818+358956707* p^69*q^820+74648724*p^67*q^822+7065941*p^65*q^824+503566*p^63*q^826+18430*p^61* q^828+144*p^59*q^830+148*p^80*q^808+15994*p^78*q^810+594950*p^76*q^812+12321548 *p^74*q^814+131645775*p^72*q^816+429302798*p^70*q^818+203269420*p^68*q^820+ 26246536*p^66*q^822+2035630*p^64*q^824+90996*p^62*q^826+12956*p^60*q^828+36*p^ 58*q^830+72*p^81*q^806+1060*p^79*q^808+120318*p^77*q^810+2778792*p^75*q^812+ 40938710*p^73*q^814+290390285*p^71*q^816+380871022*p^69*q^818+86958083*p^67*q^ 820+8484362*p^65*q^822+622602*p^63*q^824+10070*p^61*q^826+1706*p^59*q^828+420*p ^80*q^806+13692*p^78*q^808+528956*p^76*q^810+10800076*p^74*q^812+116338602*p^72 *q^814+432317777*p^70*q^816+227468682*p^68*q^818+31761450*p^66*q^820+2501348*p^ 64*q^822+145622*p^62*q^824+13202*p^60*q^826+12*p^81*q^804+466*p^79*q^806+76547* p^77*q^808+2171748*p^75*q^810+34870990*p^73*q^812+268594368*p^71*q^814+ 413900965*p^69*q^816+101568074*p^67*q^818+10397639*p^65*q^820+753738*p^63*q^822 +13984*p^61*q^824+3444*p^59*q^826+616*p^80*q^804+8306*p^78*q^806+456981*p^76*q^ 808+9136218*p^74*q^810+105803257*p^72*q^812+428218170*p^70*q^814+257028813*p^68 *q^816+36511076*p^66*q^818+2882738*p^64*q^820+173840*p^62*q^822+5418*p^60*q^824 +98*p^58*q^826+1172*p^79*q^804+67232*p^77*q^806+1871712*p^75*q^808+30715490*p^ 73*q^810+251161509*p^71*q^812+429896476*p^69*q^814+117771397*p^67*q^816+ 12274770*p^65*q^818+895716*p^63*q^820+30010*p^61*q^822+5312*p^59*q^824+228*p^80 *q^802+4602*p^78*q^804+366910*p^76*q^806+7633354*p^74*q^808+92297782*p^72*q^810 +424241020*p^70*q^812+285323598*p^68*q^814+44360855*p^66*q^816+3671750*p^64*q^ 818+255298*p^62*q^820+1734*p^60*q^822+556*p^58*q^824+16*p^81*q^800+2644*p^79*q^ 802+48446*p^77*q^804+1520566*p^75*q^806+26612160*p^73*q^808+229480110*p^71*q^ 810+459380185*p^69*q^812+135016070*p^67*q^814+14616890*p^65*q^816+997210*p^63*q ^818+39774*p^61*q^820+5012*p^59*q^822+36*p^80*q^800+3084*p^78*q^802+281128*p^76 *q^804+6335252*p^74*q^806+82152348*p^72*q^808+411602178*p^70*q^810+319488958*p^ 68*q^812+51614214*p^66*q^814+4480808*p^64*q^816+305882*p^62*q^818+3524*p^60*q^ 820+928*p^58*q^822+2036*p^79*q^800+33482*p^77*q^802+1366168*p^75*q^804+23037304 *p^73*q^806+212890265*p^71*q^808+470571808*p^69*q^810+155996834*p^67*q^812+ 17108226*p^65*q^814+1159604*p^63*q^816+60684*p^61*q^818+764*p^59*q^820+44*p^57* q^822+188*p^80*q^798+7024*p^78*q^800+237782*p^76*q^802+5318228*p^74*q^804+ 71560416*p^72*q^806+398998474*p^70*q^808+346702964*p^68*q^810+61355524*p^66*q^ 812+5492462*p^64*q^814+385752*p^62*q^816+7872*p^60*q^818+2490*p^58*q^820+736*p^ 79*q^798+18562*p^77*q^800+1072580*p^75*q^802+19619756*p^73*q^804+190949946*p^71 *q^806+492930728*p^69*q^808+179065502*p^67*q^810+20802432*p^65*q^812+1475620*p^ 63*q^814+87062*p^61*q^816+164*p^59*q^818+48*p^57*q^820+28*p^80*q^796+9116*p^78* q^798+167138*p^76*q^800+4430406*p^74*q^802+63528292*p^72*q^804+382398272*p^70*q ^806+384517497*p^68*q^808+70587054*p^66*q^810+6399698*p^64*q^812+391364*p^62*q^ 814+9442*p^60*q^816+842*p^58*q^818+996*p^79*q^796+20560*p^77*q^798+953095*p^75* q^800+16975706*p^73*q^802+174713286*p^71*q^804+496700500*p^69*q^806+203798386*p ^67*q^808+24339258*p^65*q^810+1806414*p^63*q^812+123356*p^61*q^814+1024*p^59*q^ 816+586*p^57*q^818+5854*p^78*q^796+120978*p^76*q^798+3740506*p^74*q^800+ 54632120*p^72*q^802+363129457*p^70*q^804+412167750*p^68*q^806+84408888*p^66*q^ 808+7853556*p^64*q^810+483942*p^62*q^812+18484*p^60*q^814+580*p^79*q^794+24424* p^77*q^796+721122*p^75*q^798+14246878*p^73*q^800+155433534*p^71*q^802+510481751 *p^69*q^804+231362118*p^67*q^806+29197099*p^65*q^808+2238550*p^63*q^810+148434* p^61*q^812+1314*p^59*q^814+532*p^57*q^816+4628*p^78*q^794+89573*p^76*q^796+ 3194936*p^74*q^798+48301851*p^72*q^800+341920776*p^70*q^802+447961188*p^68*q^ 804+96901530*p^66*q^806+9196623*p^64*q^808+533260*p^62*q^810+26484*p^60*q^812+ 52*p^58*q^814+52*p^56*q^816+96*p^79*q^792+25280*p^77*q^794+581980*p^75*q^796+ 12094968*p^73*q^798+140355955*p^71*q^800+504763800*p^69*q^802+262037737*p^67*q^ 804+34066294*p^65*q^806+2772528*p^63*q^808+168926*p^61*q^810+2384*p^59*q^812+ 4184*p^78*q^792+81418*p^76*q^794+2705591*p^74*q^796+41656400*p^72*q^798+ 321045668*p^70*q^800+473078384*p^68*q^802+114126346*p^66*q^804+10985730*p^64*q^ 806+686510*p^62*q^808+44884*p^60*q^810+200*p^58*q^812+178*p^56*q^814+52*p^79*q^ 790+20588*p^77*q^792+421900*p^75*q^794+10181438*p^73*q^796+122979084*p^71*q^798 +508368753*p^69*q^800+292807802*p^67*q^802+41159216*p^65*q^804+3406500*p^63*q^ 806+192489*p^61*q^808+3796*p^59*q^810+1640*p^78*q^790+72486*p^76*q^792+2209630* p^74*q^794+36251166*p^72*q^796+296750920*p^70*q^798+509724056*p^68*q^800+ 130460342*p^66*q^802+12872356*p^64*q^804+817670*p^62*q^806+52092*p^60*q^808+136 *p^58*q^810+2*p^81*q^786+4*p^79*q^788+19008*p^77*q^790+359518*p^75*q^792+ 8785590*p^73*q^794+110535391*p^71*q^796+495140434*p^69*q^798+327712105*p^67*q^ 800+48133588*p^65*q^802+4045585*p^63*q^804+197452*p^61*q^806+9028*p^59*q^808+16 *p^57*q^810+30*p^55*q^812+1004*p^78*q^788+72754*p^76*q^790+1798410*p^74*q^792+ 30779486*p^72*q^794+274152814*p^70*q^796+525361570*p^68*q^798+153289014*p^66*q^ 800+15426990*p^64*q^802+1128294*p^62*q^804+75526*p^60*q^806+360*p^58*q^808+8*p^ 81*q^784+4*p^79*q^786+12068*p^77*q^788+267052*p^75*q^790+7367246*p^73*q^792+ 96235024*p^71*q^794+487178320*p^69*q^796+362322962*p^67*q^798+57098256*p^65*q^ 800+4770656*p^63*q^802+219218*p^61*q^804+11700*p^59*q^806+20*p^80*q^784+164*p^ 78*q^786+68160*p^76*q^788+1415972*p^74*q^790+26756307*p^72*q^792+250513822*p^70 *q^794+556762647*p^68*q^796+173945134*p^66*q^798+18560407*p^64*q^800+1399818*p^ 62*q^802+74824*p^60*q^804+1008*p^58*q^806+2*p^54*q^810+8948*p^77*q^786+233952*p ^75*q^788+6308740*p^73*q^790+85995356*p^71*q^792+467904044*p^69*q^794+399732621 *p^67*q^796+66195358*p^65*q^798+5498941*p^63*q^800+279626*p^61*q^802+19910*p^59 *q^804+18*p^57*q^806+98*p^80*q^782+156*p^78*q^784+55956*p^76*q^786+1189208*p^74 *q^788+22684970*p^72*q^790+227041329*p^70*q^792+566186020*p^68*q^794+201988710* p^66*q^796+22313670*p^64*q^798+1766984*p^62*q^800+72212*p^60*q^802+2116*p^58*q^ 804+72*p^79*q^782+3544*p^77*q^784+209706*p^75*q^786+5077969*p^73*q^788+73651528 *p^71*q^790+453320626*p^69*q^792+436191120*p^67*q^794+78972047*p^65*q^796+ 6542148*p^63*q^798+406398*p^61*q^800+29772*p^59*q^802+48*p^57*q^804+6*p^80*q^ 780+68*p^78*q^782+45556*p^76*q^784+913476*p^74*q^786+19695260*p^72*q^788+ 205798924*p^70*q^790+586124560*p^68*q^792+227467150*p^66*q^794+26207122*p^64*q^ 796+1989006*p^62*q^798+56266*p^60*q^800+2588*p^58*q^802+502*p^79*q^780+1684*p^ 77*q^782+198420*p^75*q^784+4396888*p^73*q^786+65459260*p^71*q^788+425148314*p^ 69*q^790+476297186*p^67*q^792+91022664*p^65*q^794+7979054*p^63*q^796+562228*p^ 61*q^798+30942*p^59*q^800+276*p^57*q^802+16*p^80*q^778+116*p^78*q^780+31214*p^ 76*q^782+734320*p^74*q^784+16407030*p^72*q^786+184405544*p^70*q^788+586687546*p ^68*q^790+261273630*p^66*q^792+31492564*p^64*q^794+2378718*p^62*q^796+87430*p^ 60*q^798+7808*p^58*q^800+214*p^79*q^778+1496*p^77*q^780+167876*p^75*q^782+ 3571424*p^73*q^784+56283312*p^71*q^786+406051461*p^69*q^788+508875318*p^67*q^ 790+107897562*p^65*q^792+9403386*p^63*q^794+692332*p^61*q^796+20420*p^59*q^798+ 104*p^57*q^800+1328*p^78*q^778+14712*p^76*q^780+624690*p^74*q^782+14128709*p^72 *q^784+164010452*p^70*q^786+596672654*p^68*q^788+291636630*p^66*q^790+37045269* p^64*q^792+2702486*p^62*q^794+136256*p^60*q^796+10292*p^58*q^798+16*p^56*q^800+ 188*p^79*q^776+376*p^77*q^778+147088*p^75*q^780+2908104*p^73*q^782+49205393*p^ 71*q^784+376902700*p^69*q^786+549958329*p^67*q^788+123860202*p^65*q^790+ 11511212*p^63*q^792+833002*p^61*q^794+13826*p^59*q^796+1096*p^57*q^798+1624*p^ 78*q^776+13824*p^76*q^778+573969*p^74*q^780+11950424*p^72*q^782+147280241*p^70* q^784+583993698*p^68*q^786+330586074*p^66*q^788+43844382*p^64*q^790+3231633*p^ 62*q^792+201680*p^60*q^794+11608*p^58*q^796+30*p^79*q^774+1992*p^77*q^776+94210 *p^75*q^778+2273704*p^73*q^780+41512736*p^71*q^782+349712832*p^69*q^784+ 578204740*p^67*q^786+146249973*p^65*q^788+13943716*p^63*q^790+1022499*p^61*q^ 792+23474*p^59*q^794+2052*p^57*q^796+1116*p^78*q^774+5810*p^76*q^776+490070*p^ 74*q^778+10180149*p^72*q^780+129739366*p^70*q^782+587045123*p^68*q^784+ 365404858*p^66*q^786+51318050*p^64*q^788+3705138*p^62*q^790+238522*p^60*q^792+ 4476*p^58*q^794+56*p^56*q^796+5286*p^77*q^774+79160*p^75*q^776+1971730*p^73*q^ 778+36630499*p^71*q^780+321370570*p^69*q^782+609976364*p^67*q^784+165737122*p^ 65*q^786+16596568*p^63*q^788+1138422*p^61*q^790+43278*p^59*q^792+3868*p^57*q^ 794+730*p^78*q^772+4126*p^76*q^774+402684*p^74*q^776+8360090*p^72*q^778+ 114144118*p^70*q^780+563478796*p^68*q^782+411589214*p^66*q^784+61315622*p^64*q^ 786+4754255*p^62*q^788+355834*p^60*q^790+2924*p^58*q^792+256*p^56*q^794+4*p^79* q^770+4670*p^77*q^772+52288*p^75*q^774+1628438*p^73*q^776+30765926*p^71*q^778+ 295769613*p^69*q^780+633863674*p^67*q^782+193435197*p^65*q^784+19483838*p^63*q^ 786+1251447*p^61*q^788+56490*p^59*q^790+3254*p^57*q^792+44*p^78*q^770+9354*p^76 *q^772+332332*p^74*q^774+6922349*p^72*q^776+100285770*p^70*q^778+552215521*p^68 *q^780+448066636*p^66*q^782+72065125*p^64*q^784+5719128*p^62*q^786+407114*p^60* q^788+5618*p^58*q^790+544*p^56*q^792+5122*p^77*q^770+28964*p^75*q^772+1386234*p ^73*q^774+26902414*p^71*q^776+267281712*p^69*q^778+657948265*p^67*q^780+ 218964626*p^65*q^782+23233216*p^63*q^784+1436630*p^61*q^786+87800*p^59*q^788+ 592*p^57*q^790+16*p^55*q^792+92*p^78*q^768+13158*p^76*q^770+276912*p^74*q^772+ 5808976*p^72*q^774+87682182*p^70*q^776+522013758*p^68*q^778+495490429*p^66*q^ 780+84402342*p^64*q^782+7092163*p^62*q^784+487364*p^60*q^786+11706*p^58*q^788+ 1336*p^56*q^790+1552*p^77*q^768+22462*p^75*q^770+1151274*p^73*q^772+22319514*p^ 71*q^774+242417517*p^69*q^776+669528396*p^67*q^778+253748015*p^65*q^780+ 27699800*p^63*q^782+1786256*p^61*q^784+122764*p^59*q^786+304*p^57*q^788+20*p^55 *q^790+8*p^78*q^766+17834*p^76*q^768+184614*p^74*q^770+4801188*p^72*q^772+ 76153548*p^70*q^774+505471438*p^68*q^776+532371946*p^66*q^778+98739156*p^64*q^ 780+8208786*p^62*q^782+501032*p^60*q^784+14318*p^58*q^786+422*p^56*q^788+990*p^ 77*q^766+28098*p^75*q^768+1033792*p^73*q^770+19411195*p^71*q^772+216771838*p^69 *q^774+683408048*p^67*q^776+284162982*p^65*q^778+32808407*p^63*q^780+2208148*p^ 61*q^782+164542*p^59*q^784+1584*p^57*q^786+248*p^55*q^788+12668*p^76*q^766+ 133320*p^74*q^768+3926604*p^72*q^770+66026372*p^70*q^772+468600260*p^68*q^774+ 583026491*p^66*q^776+115088506*p^64*q^778+10196849*p^62*q^780+559988*p^60*q^782 +27516*p^58*q^784+350*p^77*q^764+39248*p^75*q^766+813686*p^73*q^768+16127712*p^ 71*q^770+194660690*p^69*q^772+680725376*p^67*q^774+326184455*p^65*q^776+ 38951448*p^63*q^778+2734056*p^61*q^780+201546*p^59*q^782+2273*p^57*q^784+202*p^ 55*q^786+7014*p^76*q^764+90912*p^74*q^766+3378819*p^72*q^768+56709806*p^70*q^ 770+443720447*p^68*q^772+616308876*p^66*q^774+134708161*p^64*q^776+11747304*p^ 62*q^778+620410*p^60*q^780+37118*p^58*q^782+72*p^56*q^784+16*p^54*q^786+48*p^77 *q^762+45888*p^75*q^764+663386*p^73*q^766+13737123*p^71*q^768+172959950*p^69*q^ 770+684773760*p^67*q^772+360819840*p^65*q^774+46062123*p^63*q^776+3379218*p^61* q^778+208632*p^59*q^780+3780*p^57*q^782+4*p^80*q^758+4*p^78*q^760+4878*p^76*q^ 762+91816*p^74*q^764+2856454*p^72*q^766+49457007*p^70*q^768+405980062*p^68*q^ 770+657793389*p^66*q^772+155609834*p^64*q^774+14225302*p^62*q^776+785996*p^60*q ^778+67110*p^58*q^780+400*p^56*q^782+46*p^54*q^784+48*p^77*q^760+33702*p^75*q^ 762+460046*p^73*q^764+11104496*p^71*q^766+152137186*p^69*q^768+671246780*p^67*q ^770+412313051*p^65*q^772+54706416*p^63*q^774+4200412*p^61*q^776+222424*p^59*q^ 778+5092*p^57*q^780+1122*p^76*q^760+107548*p^74*q^762+2427060*p^72*q^764+ 42479166*p^70*q^766+381347059*p^68*q^768+688423876*p^66*q^770+179432184*p^64*q^ 772+16457550*p^62*q^774+938962*p^60*q^776+70472*p^58*q^778+238*p^56*q^780+44*p^ 79*q^756+52*p^77*q^758+29744*p^75*q^760+367088*p^73*q^762+9648462*p^71*q^764+ 133437086*p^69*q^766+658053015*p^67*q^768+449265328*p^65*q^770+64908874*p^63*q^ 772+4985766*p^61*q^774+219086*p^59*q^776+15090*p^57*q^778+36*p^55*q^780+4*p^53* q^782+956*p^76*q^758+102432*p^74*q^760+1975690*p^72*q^762+36027436*p^70*q^764+ 343812698*p^68*q^766+726010530*p^66*q^768+207509048*p^64*q^770+20207000*p^62*q^ 772+1290344*p^60*q^774+95974*p^58*q^776+416*p^56*q^778+12*p^79*q^754+8*p^77*q^ 756+13632*p^75*q^758+308074*p^73*q^760+7907858*p^71*q^762+117677402*p^69*q^764+ 631751808*p^67*q^766+502906623*p^65*q^768+75410696*p^63*q^770+5778266*p^61*q^ 772+231802*p^59*q^774+18354*p^57*q^776+180*p^78*q^754+418*p^76*q^756+103868*p^ 74*q^758+1551560*p^72*q^760+30623552*p^70*q^762+316527365*p^68*q^764+744561640* p^66*q^766+240158226*p^64*q^768+23879306*p^62*q^770+1669466*p^60*q^772+89346*p^ 58*q^774+1804*p^56*q^776+9324*p^75*q^756+280570*p^73*q^758+6898896*p^71*q^760+ 102706290*p^69*q^762+613806299*p^67*q^764+542265684*p^65*q^766+88577849*p^63*q^ 768+6742260*p^61*q^770+296355*p^59*q^772+27446*p^57*q^774+10*p^55*q^776+208*p^ 78*q^752+344*p^76*q^754+80024*p^74*q^756+1262994*p^72*q^758+26098302*p^70*q^760 +281436312*p^68*q^762+768558456*p^66*q^764+272641266*p^64*q^766+29053728*p^62*q ^768+2019694*p^60*q^770+73662*p^58*q^772+4080*p^56*q^774+336*p^77*q^752+4656*p^ 75*q^754+263286*p^73*q^756+5526292*p^71*q^758+89087874*p^69*q^760+578293986*p^ 67*q^762+602302253*p^65*q^764+103921846*p^63*q^766+8214826*p^61*q^768+445418*p^ 59*q^770+41828*p^57*q^772+80*p^55*q^774+12*p^78*q^750+40*p^76*q^752+54382*p^74* q^754+1000128*p^72*q^756+21940766*p^70*q^758+256389574*p^68*q^760+774431104*p^ 66*q^762+311542910*p^64*q^764+33713546*p^62*q^766+2266929*p^60*q^768+55250*p^58 *q^770+3792*p^56*q^772+1120*p^77*q^750+3436*p^75*q^752+264736*p^73*q^754+ 4837170*p^71*q^756+77458796*p^69*q^758+551982079*p^67*q^760+638908916*p^65*q^ 762+121927357*p^63*q^764+9870796*p^61*q^766+628806*p^59*q^768+34304*p^57*q^770+ 652*p^55*q^772+4*p^78*q^748+332*p^76*q^750+38750*p^74*q^752+828248*p^72*q^754+ 18473782*p^70*q^756+225360360*p^68*q^758+782552630*p^66*q^760+350446698*p^64*q^ 762+40674076*p^62*q^764+2769614*p^60*q^766+85702*p^58*q^768+12674*p^56*q^770+ 424*p^77*q^748+1284*p^75*q^750+215806*p^73*q^752+3785468*p^71*q^754+66716570*p^ 69*q^756+512015870*p^67*q^758+698396457*p^65*q^760+141838792*p^63*q^762+ 11919283*p^61*q^764+732966*p^59*q^766+21350*p^57*q^768+160*p^55*q^770+2528*p^76 *q^748+23028*p^74*q^750+726752*p^72*q^752+15711452*p^70*q^754+203025099*p^68*q^ 756+777856954*p^66*q^758+396745129*p^64*q^760+47144202*p^62*q^762+3150848*p^60* q^764+142790*p^58*q^766+13964*p^56*q^768+46*p^54*q^770+124*p^77*q^746+1036*p^75 *q^748+185804*p^73*q^750+3188776*p^71*q^752+57258842*p^69*q^754+479727872*p^67* q^756+730122714*p^65*q^758+165794905*p^63*q^760+14317910*p^61*q^762+908348*p^59 *q^764+12506*p^57*q^766+2002*p^55*q^768+3068*p^76*q^746+15656*p^74*q^748+663338 *p^72*q^750+13304777*p^70*q^752+177373912*p^68*q^754+771436890*p^66*q^756+ 441533362*p^64*q^758+56614897*p^62*q^760+3868314*p^60*q^762+205336*p^58*q^764+ 13606*p^56*q^766+16*p^77*q^744+2704*p^75*q^746+125252*p^73*q^748+2521352*p^71*q ^750+48538326*p^69*q^752+436878720*p^67*q^754+781148756*p^65*q^756+191464620*p^ 63*q^758+17401350*p^61*q^760+1070422*p^59*q^762+21238*p^57*q^764+3692*p^55*q^ 766+1336*p^76*q^744+8762*p^74*q^746+590532*p^72*q^748+10991954*p^70*q^750+ 158624565*p^68*q^752+752505448*p^66*q^754+496079713*p^64*q^756+65497986*p^62*q^ 758+4523672*p^60*q^760+244234*p^58*q^762+4896*p^56*q^764+114*p^54*q^766+8252*p^ 75*q^744+101120*p^73*q^746+2173238*p^71*q^748+41952162*p^69*q^750+404784898*p^ 67*q^752+803060758*p^65*q^754+220619373*p^63*q^756+20436418*p^61*q^758+1256476* p^59*q^760+42006*p^57*q^762+5240*p^55*q^764+596*p^76*q^742+5798*p^74*q^744+ 503708*p^72*q^746+9273146*p^70*q^748+136495408*p^68*q^750+734393939*p^66*q^752+ 544111644*p^64*q^754+79248035*p^62*q^756+5726052*p^60*q^758+347602*p^58*q^760+ 2162*p^56*q^762+620*p^54*q^764+4*p^77*q^740+7436*p^75*q^742+63064*p^73*q^744+ 1779876*p^71*q^746+35308000*p^69*q^748+363561130*p^67*q^750+846877077*p^65*q^ 752+252789176*p^63*q^754+24334991*p^61*q^756+1398142*p^59*q^758+54746*p^57*q^ 760+4274*p^55*q^762+32*p^76*q^740+10742*p^74*q^742+415450*p^72*q^744+7592514*p^ 70*q^746+120392648*p^68*q^748+701165306*p^66*q^750+605150827*p^64*q^752+ 91531584*p^62*q^754+6868352*p^60*q^756+403350*p^58*q^758+4828*p^56*q^760+916*p^ 54*q^762+5132*p^75*q^740+43248*p^73*q^742+1594590*p^71*q^744+30145238*p^69*q^ 746+333709732*p^67*q^748+855209540*p^65*q^750+290936094*p^63*q^752+28514208*p^ 61*q^754+1672694*p^59*q^756+80030*p^57*q^758+504*p^55*q^760+52*p^53*q^762+112*p ^76*q^738+19824*p^74*q^740+329656*p^72*q^742+6435416*p^70*q^744+103585792*p^68* q^746+669735304*p^66*q^748+651004448*p^64*q^750+109016443*p^62*q^752+8516966*p^ 60*q^754+491146*p^58*q^756+10928*p^56*q^758+2162*p^54*q^760+1510*p^75*q^738+ 25170*p^73*q^740+1339426*p^71*q^742+25220958*p^69*q^744+294763566*p^67*q^746+ 884166176*p^65*q^748+330890630*p^63*q^750+34442104*p^61*q^752+2056802*p^59*q^ 754+112044*p^57*q^756+212*p^55*q^758+48*p^53*q^760+16*p^76*q^736+20592*p^74*q^ 738+241582*p^72*q^740+5209190*p^70*q^742+90550865*p^68*q^744+633517024*p^66*q^ 746+712534497*p^64*q^748+125167960*p^62*q^750+9883713*p^60*q^752+502728*p^58*q^ 754+12354*p^56*q^756+536*p^54*q^758+1050*p^75*q^736+36286*p^73*q^738+1191018*p^ 71*q^740+21700890*p^69*q^742+266981661*p^67*q^744+878491464*p^65*q^746+ 376664318*p^63*q^748+40507822*p^61*q^750+2572736*p^59*q^752+153784*p^57*q^754+ 1380*p^55*q^756+538*p^53*q^758+4*p^76*q^734+13666*p^74*q^736+163412*p^72*q^738+ 4386864*p^70*q^740+76236128*p^68*q^742+595131689*p^66*q^744+758510164*p^64*q^ 746+148702773*p^62*q^748+12023114*p^60*q^750+614434*p^58*q^752+22468*p^56*q^754 +2*p^79*q^730+572*p^75*q^734+45868*p^73*q^736+989964*p^71*q^738+18012352*p^69*q ^740+235212768*p^67*q^742+888474960*p^65*q^744+423531324*p^63*q^746+48299023*p^ 61*q^748+3184178*p^59*q^750+175972*p^57*q^752+2018*p^55*q^754+366*p^53*q^756+ 6734*p^74*q^734+119110*p^72*q^736+3661018*p^70*q^738+66477318*p^68*q^740+ 548433062*p^66*q^742+817773111*p^64*q^744+170619048*p^62*q^746+14199980*p^60*q^ 748+672998*p^58*q^750+32406*p^56*q^752+52*p^54*q^754+52*p^52*q^756+104*p^75*q^ 732+51412*p^73*q^734+784870*p^71*q^736+15234132*p^69*q^738+209804209*p^67*q^740 +871398208*p^65*q^742+476993459*p^63*q^744+56572058*p^61*q^746+3901283*p^59*q^ 748+196364*p^57*q^750+2592*p^55*q^752+27*p^78*q^728+4*p^76*q^730+5904*p^74*q^ 732+110392*p^72*q^734+3280778*p^70*q^736+56446400*p^68*q^738+510839255*p^66*q^ 740+848974978*p^64*q^742+200714087*p^62*q^744+16816314*p^60*q^746+883049*p^58*q ^748+54342*p^56*q^750+352*p^54*q^752+136*p^52*q^754+42*p^75*q^730+34574*p^73*q^ 732+567512*p^71*q^734+12319116*p^69*q^736+181130270*p^67*q^738+863112748*p^65*q ^740+531884124*p^63*q^742+68219441*p^61*q^744+4850308*p^59*q^746+214352*p^57*q^ 748+4124*p^55*q^750+2000*p^74*q^730+117086*p^72*q^732+2752410*p^70*q^734+ 48824382*p^68*q^736+467142322*p^66*q^738+906574228*p^64*q^740+227935704*p^62*q^ 742+19692148*p^60*q^744+1037792*p^58*q^746+58098*p^56*q^748+128*p^54*q^750+146* p^77*q^726+100*p^75*q^728+29930*p^73*q^730+466044*p^71*q^732+10543668*p^69*q^ 734+160962485*p^67*q^736+826640486*p^65*q^738+589893594*p^63*q^740+79358934*p^ 61*q^742+5751980*p^59*q^744+227020*p^57*q^746+11268*p^55*q^748+28*p^53*q^750+26 *p^51*q^752+1134*p^74*q^728+115128*p^72*q^730+2263804*p^70*q^732+40782232*p^68* q^734+425943980*p^66*q^736+928279996*p^64*q^738+268015730*p^62*q^740+24077120*p ^60*q^742+1466992*p^58*q^744+77978*p^56*q^746+296*p^54*q^748+44*p^77*q^724+20*p ^75*q^726+18082*p^73*q^728+344700*p^71*q^730+8889958*p^69*q^732+137852884*p^67* q^734+806975612*p^65*q^736+645208238*p^63*q^738+93886655*p^61*q^740+6612620*p^ 59*q^742+238118*p^57*q^744+13676*p^55*q^746+405*p^76*q^724+772*p^74*q^726+98686 *p^72*q^728+1868320*p^70*q^730+34746077*p^68*q^732+383866066*p^66*q^734+ 967659922*p^64*q^736+303168804*p^62*q^738+28619814*p^60*q^740+1836992*p^58*q^ 742+78108*p^56*q^744+1260*p^54*q^746+2*p^50*q^750+11372*p^73*q^726+337802*p^71* q^728+7528686*p^69*q^730+121677022*p^67*q^732+763479624*p^65*q^734+710753384*p^ 63*q^736+109199188*p^61*q^738+7811488*p^59*q^740+324604*p^57*q^742+19788*p^55*q ^744+10*p^53*q^746+448*p^76*q^722+612*p^74*q^724+89086*p^72*q^726+1454868*p^70* q^728+29274678*p^68*q^730+345730567*p^66*q^732+973522444*p^64*q^734+350607750*p ^62*q^736+34166908*p^60*q^738+2265270*p^58*q^740+68948*p^56*q^742+2636*p^54*q^ 744+612*p^75*q^722+5980*p^73*q^724+271188*p^71*q^726+6347368*p^69*q^728+ 103015146*p^67*q^730+728303188*p^65*q^732+768297456*p^63*q^734+129856283*p^61*q ^736+9399424*p^59*q^738+478052*p^57*q^740+29560*p^55*q^742+52*p^53*q^744+40*p^ 76*q^720+84*p^74*q^722+61262*p^72*q^724+1194510*p^70*q^726+24570150*p^68*q^728+ 307817328*p^66*q^730+997899722*p^64*q^732+393006848*p^62*q^734+40400902*p^60*q^ 736+2525376*p^58*q^738+52838*p^56*q^740+2544*p^54*q^742+1761*p^75*q^720+5564*p^ 73*q^722+276176*p^71*q^724+5374048*p^69*q^726+90876701*p^67*q^728+677533626*p^ 65*q^730+829753904*p^63*q^732+149924010*p^61*q^734+11435012*p^59*q^736+662662*p ^57*q^738+28298*p^55*q^740+372*p^53*q^742+40*p^76*q^718+506*p^74*q^720+43876*p^ 72*q^722+958240*p^70*q^724+20669738*p^68*q^726+273221918*p^66*q^728+984228542*p ^64*q^730+450530410*p^62*q^732+48231274*p^60*q^734+3037040*p^58*q^736+91372*p^ 56*q^738+7524*p^54*q^740+644*p^75*q^718+2452*p^73*q^720+229742*p^71*q^722+ 4376448*p^69*q^724+76079360*p^67*q^726+639693622*p^65*q^728+881672744*p^63*q^ 730+177275068*p^61*q^732+13600820*p^59*q^734+816316*p^57*q^736+15930*p^55*q^738 +104*p^53*q^740+3406*p^74*q^718+29988*p^72*q^720+793806*p^70*q^722+17474308*p^ 68*q^724+240726100*p^66*q^726+990930135*p^64*q^728+499936986*p^62*q^730+ 56693922*p^60*q^732+3493006*p^58*q^734+138452*p^56*q^736+9588*p^54*q^738+24*p^ 52*q^740+464*p^75*q^716+870*p^73*q^718+198060*p^71*q^720+3667894*p^69*q^722+ 66389628*p^67*q^724+584277462*p^65*q^726+944194733*p^63*q^728+202791220*p^61*q^ 730+16475748*p^59*q^732+955124*p^57*q^734+12418*p^55*q^736+988*p^53*q^738+3308* p^74*q^716+23928*p^72*q^718+728888*p^70*q^720+14753050*p^68*q^722+212305688*p^ 66*q^724+958187530*p^64*q^726+565091380*p^62*q^728+67573438*p^60*q^730+4356376* p^58*q^732+219244*p^56*q^734+8836*p^54*q^736+92*p^75*q^714+3596*p^73*q^716+ 140338*p^71*q^718+2867430*p^69*q^720+54935384*p^67*q^722+539649709*p^65*q^724+ 983053766*p^63*q^726+239870429*p^61*q^728+19720334*p^59*q^730+1118952*p^57*q^ 732+19766*p^55*q^734+2076*p^53*q^736+2554*p^74*q^714+10341*p^72*q^716+616180*p^ 70*q^718+12554642*p^68*q^720+185733808*p^66*q^722+949417248*p^64*q^724+ 620271332*p^62*q^726+78823232*p^60*q^728+5006792*p^58*q^730+256780*p^56*q^732+ 3288*p^54*q^734+44*p^52*q^736+8018*p^73*q^714+121514*p^71*q^716+2484696*p^69*q^ 718+47613522*p^67*q^720+487676376*p^65*q^722+1027432900*p^63*q^724+271684436*p^ 61*q^726+23684592*p^59*q^728+1343278*p^57*q^730+40502*p^55*q^732+2860*p^53*q^ 734+1362*p^74*q^712+6424*p^72*q^714+543816*p^70*q^716+10293340*p^68*q^718+ 162106067*p^66*q^720+904545652*p^64*q^722+695612888*p^62*q^724+93922850*p^60*q^ 726+6365904*p^58*q^728+347352*p^56*q^730+2148*p^54*q^732+272*p^52*q^734+36*p^75 *q^710+8416*p^73*q^712+83120*p^71*q^714+1962978*p^69*q^716+39777724*p^67*q^718+ 444359634*p^65*q^720+1055109918*p^63*q^722+315481418*p^61*q^724+27897554*p^59*q ^726+1506130*p^57*q^728+56656*p^55*q^730+2356*p^53*q^732+136*p^74*q^710+12006*p ^72*q^712+440762*p^70*q^714+8689344*p^68*q^716+139397172*p^66*q^718+876558784*p ^64*q^720+754416904*p^62*q^722+110845469*p^60*q^724+7587304*p^58*q^726+404234*p ^56*q^728+4154*p^54*q^730+396*p^52*q^732+7614*p^73*q^710+46527*p^71*q^712+ 1743384*p^69*q^714+34081214*p^67*q^716+397299134*p^65*q^718+1087334222*p^63*q^ 720+356376638*p^61*q^722+33091695*p^59*q^724+1800636*p^57*q^726+80198*p^55*q^ 728+452*p^53*q^730+16*p^51*q^732+514*p^74*q^708+19126*p^72*q^710+389514*p^70*q^ 712+7183148*p^68*q^714+121134420*p^66*q^716+818204020*p^64*q^718+826815421*p^62 *q^720+129837292*p^60*q^722+9385279*p^58*q^724+492118*p^56*q^726+10624*p^54*q^ 728+940*p^52*q^730+2374*p^73*q^708+30724*p^71*q^710+1447950*p^69*q^712+28313642 *p^67*q^714+356691337*p^65*q^716+1092503828*p^63*q^718+414318410*p^61*q^720+ 39340342*p^59*q^722+2283473*p^57*q^724+107198*p^55*q^726+162*p^53*q^728+16*p^51 *q^730+68*p^74*q^706+22578*p^72*q^708+272364*p^70*q^710+5849710*p^68*q^712+ 103262120*p^66*q^714+783589131*p^64*q^716+885133714*p^62*q^718+151390628*p^60*q ^720+10915504*p^58*q^722+502128*p^56*q^724+12282*p^54*q^726+364*p^52*q^728+3146 *p^73*q^706+42274*p^71*q^708+1294066*p^69*q^710+24590548*p^67*q^712+316209686*p ^65*q^714+1106614127*p^63*q^716+460025614*p^61*q^718+47101520*p^59*q^720+ 2741534*p^57*q^722+144736*p^55*q^724+1272*p^53*q^726+160*p^51*q^728+4*p^74*q^ 704+14114*p^72*q^706+179040*p^70*q^708+4875146*p^68*q^710+88465046*p^66*q^712+ 716490716*p^64*q^714+959158841*p^62*q^716+177680272*p^60*q^718+13448876*p^58*q^ 720+655472*p^56*q^722+22034*p^54*q^724+1320*p^73*q^704+49388*p^71*q^706+1098290 *p^69*q^708+20076398*p^67*q^710+280373663*p^65*q^712+1093544930*p^63*q^714+ 528649027*p^61*q^716+55478934*p^59*q^718+3400217*p^57*q^720+157334*p^55*q^722+ 1790*p^53*q^724+184*p^51*q^726+12392*p^72*q^704+139364*p^70*q^706+4103816*p^68* q^708+75460644*p^66*q^710+675740481*p^64*q^712+1004943966*p^62*q^714+206691479* p^60*q^716+15565634*p^58*q^718+734344*p^56*q^720+29620*p^54*q^722+48*p^52*q^724 +8*p^50*q^726+332*p^73*q^702+46034*p^71*q^704+854474*p^69*q^706+17015168*p^67*q ^708+244951498*p^65*q^710+1084036064*p^63*q^712+584225240*p^61*q^714+66140809*p ^59*q^716+4210506*p^57*q^718+185182*p^55*q^720+2860*p^53*q^722+36*p^74*q^700+ 9992*p^72*q^702+140122*p^70*q^704+3562512*p^68*q^706+65034207*p^66*q^708+ 611149434*p^64*q^710+1072312164*p^62*q^712+238397524*p^60*q^714+18746492*p^58*q ^716+937588*p^56*q^718+45648*p^54*q^720+296*p^52*q^722+44*p^50*q^724+184*p^73*q ^700+37266*p^71*q^702+611097*p^69*q^704+13848114*p^67*q^706+213946926*p^65*q^ 708+1051323826*p^63*q^710+660042440*p^61*q^712+78600690*p^59*q^714+5188904*p^57 *q^716+215560*p^55*q^718+4060*p^53*q^720+3838*p^72*q^700+124796*p^70*q^702+ 3058204*p^68*q^704+54659192*p^66*q^706+567198828*p^64*q^708+1110961918*p^62*q^ 710+277968459*p^60*q^712+21778712*p^58*q^714+1109492*p^56*q^716+47172*p^54*q^ 718+164*p^52*q^720+396*p^73*q^698+39696*p^71*q^700+526492*p^69*q^702+11862064*p ^67*q^704+186417470*p^65*q^706+1023825163*p^63*q^708+718880448*p^61*q^710+ 92698181*p^59*q^712+6085050*p^57*q^714+240980*p^55*q^716+9164*p^53*q^718+24*p^ 51*q^720+4*p^49*q^722+2908*p^72*q^698+107876*p^70*q^700+2457874*p^68*q^702+ 46306858*p^66*q^704+504747020*p^64*q^706+1158461750*p^62*q^708+319133218*p^60*q ^710+27005999*p^58*q^712+1536102*p^56*q^714+67980*p^54*q^716+428*p^52*q^718+64* p^73*q^696+23780*p^71*q^698+424148*p^69*q^700+9800918*p^67*q^702+161817302*p^65 *q^704+973422184*p^63*q^706+802623137*p^61*q^708+108594990*p^59*q^710+7053145*p ^57*q^712+268068*p^55*q^714+10022*p^53*q^716+2136*p^72*q^696+104524*p^70*q^698+ 1970808*p^68*q^700+39023148*p^66*q^702+461551718*p^64*q^704+1179136410*p^62*q^ 706+368012332*p^60*q^708+31673202*p^58*q^710+1930279*p^56*q^712+67480*p^54*q^ 714+970*p^52*q^716+20065*p^71*q^696+369806*p^69*q^698+8514662*p^67*q^700+ 139161910*p^65*q^702+938335568*p^63*q^704+861476666*p^61*q^706+127928618*p^59*q ^708+8334734*p^57*q^710+342910*p^55*q^712+15878*p^53*q^714+26*p^51*q^716+1400*p ^72*q^694+92679*p^70*q^696+1629946*p^68*q^698+32946430*p^66*q^700+405901540*p^ 64*q^702+1207496662*p^62*q^704+417704738*p^60*q^706+38664052*p^58*q^708+2313486 *p^56*q^710+77066*p^54*q^712+1898*p^52*q^714+11112*p^71*q^694+291310*p^69*q^696 +6837716*p^67*q^698+119393308*p^65*q^700+872090560*p^63*q^702+952942259*p^61*q^ 704+150207910*p^59*q^706+10031552*p^57*q^708+510942*p^55*q^710+20536*p^53*q^712 +40*p^51*q^714+276*p^72*q^692+79934*p^70*q^694+1356134*p^68*q^696+27616576*p^66 *q^698+367168696*p^64*q^700+1207374932*p^62*q^702+477363984*p^60*q^704+44750000 *p^58*q^706+2603963*p^56*q^708+60408*p^54*q^710+1966*p^52*q^712+10182*p^71*q^ 692+274920*p^69*q^694+5898912*p^67*q^696+102702784*p^65*q^698+823413032*p^63*q^ 700+1002908600*p^61*q^702+176657261*p^59*q^704+12271990*p^57*q^706+690827*p^55* q^708+24664*p^53*q^710+268*p^51*q^712+152*p^72*q^690+58905*p^70*q^692+1081590*p ^68*q^694+23185271*p^66*q^696+318710068*p^64*q^698+1213047420*p^62*q^700+ 536783254*p^60*q^702+54448672*p^58*q^704+3104228*p^56*q^706+99838*p^54*q^708+ 5002*p^52*q^710+42*p^73*q^688+4708*p^71*q^690+243787*p^69*q^692+4767672*p^67*q^ 694+87723314*p^65*q^696+757881704*p^63*q^698+1087012262*p^61*q^700+204847004*p^ 59*q^702+14664662*p^57*q^704+816650*p^55*q^706+16390*p^53*q^708+72*p^51*q^710+ 45140*p^70*q^690+870953*p^68*q^692+19428478*p^66*q^694+283508053*p^64*q^696+ 1192033670*p^62*q^698+607062078*p^60*q^700+63536804*p^58*q^702+3610528*p^56*q^ 704+157706*p^54*q^706+6080*p^52*q^708+16*p^50*q^710+6*p^73*q^686+2400*p^71*q^ 688+219946*p^69*q^690+4067606*p^67*q^692+74586594*p^65*q^694+706951923*p^63*q^ 696+1133943516*p^61*q^698+239761149*p^59*q^700+17559178*p^57*q^702+960802*p^55* q^704+13436*p^53*q^706+736*p^51*q^708+464*p^72*q^686+34300*p^70*q^688+786618*p^ 68*q^690+16400000*p^66*q^692+245380378*p^64*q^694+1170796890*p^62*q^696+ 672804056*p^60*q^698+76403252*p^58*q^700+4485394*p^56*q^702+228490*p^54*q^704+ 7258*p^52*q^706+16*p^73*q^684+668*p^71*q^686+168718*p^69*q^688+3152068*p^67*q^ 690+62529296*p^65*q^692+634592420*p^63*q^694+1208168550*p^61*q^696+277146900*p^ 59*q^698+21473145*p^57*q^700+1130330*p^55*q^702+25224*p^53*q^704+968*p^51*q^706 +142*p^72*q^684+19696*p^70*q^686+654224*p^68*q^688+13759156*p^66*q^690+ 217026411*p^64*q^692+1132920038*p^62*q^694+752677030*p^60*q^696+88521716*p^58*q ^698+5134946*p^56*q^700+257812*p^54*q^702+2138*p^52*q^704+44*p^50*q^706+2218*p^ 71*q^684+151648*p^69*q^686+2768709*p^67*q^688+53468902*p^65*q^690+583810021*p^ 63*q^692+1230902998*p^61*q^694+321265050*p^59*q^696+25342034*p^57*q^698+1343544 *p^55*q^700+47648*p^53*q^702+2124*p^51*q^704+184*p^72*q^682+10212*p^70*q^684+ 563340*p^68*q^686+11455899*p^66*q^688+184903666*p^64*q^690+1097739192*p^62*q^ 692+824139370*p^60*q^694+107085335*p^58*q^696+6564534*p^56*q^698+357902*p^54*q^ 700+2698*p^52*q^702+112*p^50*q^704+4*p^73*q^680+1800*p^71*q^682+107974*p^69*q^ 684+2192564*p^67*q^686+44769614*p^65*q^688+519116100*p^63*q^690+1288333876*p^61 *q^692+367021708*p^59*q^694+30387970*p^57*q^696+1480456*p^55*q^698+61218*p^53*q ^700+1138*p^51*q^702+36*p^72*q^680+8254*p^70*q^682+506984*p^68*q^684+9400928*p^ 66*q^686+161921919*p^64*q^688+1038008122*p^62*q^690+913798569*p^60*q^692+ 124026600*p^58*q^694+7854877*p^56*q^696+406530*p^54*q^698+5990*p^52*q^700+276*p ^50*q^702+1082*p^71*q^680+72386*p^69*q^682+1849914*p^67*q^684+38151378*p^65*q^ 686+471339600*p^63*q^688+1293311090*p^61*q^690+421652143*p^59*q^692+35843800*p^ 57*q^694+1798314*p^55*q^696+84726*p^53*q^698+224*p^51*q^700+8*p^49*q^702+64*p^ 72*q^678+11634*p^70*q^680+429796*p^68*q^682+8017108*p^66*q^684+136755238*p^64*q ^686+987150186*p^62*q^688+979374248*p^60*q^690+148791999*p^58*q^692+9696294*p^ 56*q^694+481014*p^54*q^696+12988*p^52*q^698+468*p^50*q^700+724*p^71*q^678+41831 *p^69*q^680+1571712*p^67*q^682+31681978*p^65*q^684+413846270*p^63*q^686+ 1326651847*p^61*q^688+479198926*p^59*q^690+43123642*p^57*q^692+2230430*p^55*q^ 694+116502*p^53*q^696+320*p^51*q^698+8*p^49*q^700+12*p^72*q^676+5944*p^70*q^678 +332990*p^68*q^680+6452796*p^66*q^682+118569776*p^64*q^684+920709742*p^62*q^686 +1069436052*p^60*q^688+170946386*p^58*q^690+11344052*p^56*q^692+504276*p^54*q^ 694+14008*p^52*q^696+58*p^50*q^698+488*p^71*q^676+49082*p^69*q^678+1414318*p^67 *q^680+26910698*p^65*q^682+371510570*p^63*q^684+1311202242*p^61*q^686+545832049 *p^59*q^688+50970034*p^57*q^690+2743902*p^55*q^692+145160*p^53*q^694+1720*p^51* q^696+96*p^49*q^698+24*p^72*q^674+5636*p^70*q^676+229204*p^68*q^678+5366070*p^ 66*q^680+100032880*p^64*q^682+858503704*p^62*q^684+1130346920*p^60*q^686+ 203275096*p^58*q^688+13928664*p^56*q^690+622569*p^54*q^692+26296*p^52*q^694+262 *p^71*q^674+32910*p^69*q^676+1182312*p^67*q^678+22408454*p^65*q^680+321412534*p ^63*q^682+1317867053*p^61*q^684+614112116*p^59*q^686+61468518*p^57*q^688+ 3357766*p^55*q^690+169112*p^53*q^692+2512*p^51*q^694+18*p^49*q^696+3248*p^70*q^ 674+184346*p^68*q^676+4482672*p^66*q^678+85753477*p^64*q^680+788596872*p^62*q^ 682+1211440808*p^60*q^684+232823582*p^58*q^686+16326948*p^56*q^688+693742*p^54* q^690+32094*p^52*q^692+76*p^50*q^694+8*p^48*q^696+320*p^71*q^672+29080*p^69*q^ 674+968236*p^67*q^676+18839038*p^65*q^678+286257509*p^63*q^680+1277135026*p^61* q^682+690840874*p^59*q^684+72197328*p^57*q^686+4165539*p^55*q^688+186766*p^53*q ^690+3486*p^51*q^692+4*p^72*q^670+2658*p^70*q^672+153878*p^68*q^674+3910170*p^ 66*q^676+72186826*p^64*q^678+726350007*p^62*q^680+1257417176*p^60*q^682+ 274842015*p^58*q^684+19654588*p^56*q^686+893673*p^54*q^688+52702*p^52*q^690+456 *p^50*q^692+2*p^48*q^694+104*p^71*q^670+19512*p^69*q^672+721830*p^67*q^674+ 15271450*p^65*q^676+244164022*p^63*q^678+1261195642*p^61*q^680+766146258*p^59*q ^682+86875950*p^57*q^684+5114148*p^55*q^686+209354*p^53*q^688+4922*p^51*q^690+ 2108*p^70*q^670+122980*p^68*q^672+3285638*p^66*q^674+61993716*p^64*q^676+ 657538328*p^62*q^678+1334046916*p^60*q^680+312968204*p^58*q^682+23158130*p^56*q ^684+1045982*p^54*q^686+55736*p^52*q^688+200*p^50*q^690+68*p^71*q^668+16182*p^ 69*q^670+623116*p^67*q^672+13081998*p^65*q^674+214948708*p^63*q^676+1197641156* p^61*q^678+850712594*p^59*q^680+101592384*p^57*q^682+6112299*p^55*q^684+223380* p^53*q^686+11696*p^51*q^688+40*p^49*q^690+1586*p^70*q^668+97612*p^68*q^670+ 2699262*p^66*q^672+51319842*p^64*q^674+595602882*p^62*q^676+1356792822*p^60*q^ 678+368428863*p^58*q^680+28356654*p^56*q^682+1448614*p^54*q^684+75490*p^52*q^ 686+472*p^50*q^688+20*p^71*q^666+12428*p^69*q^668+474610*p^67*q^670+10876530*p^ 65*q^672+182735020*p^63*q^674+1160931323*p^61*q^676+927742762*p^59*q^678+ 120471718*p^57*q^680+7082314*p^55*q^682+234936*p^53*q^684+14292*p^51*q^686+616* p^70*q^666+71782*p^68*q^668+2231676*p^66*q^670+43620249*p^64*q^672+531461602*p^ 62*q^674+1406524781*p^60*q^676+417014524*p^58*q^678+34003824*p^56*q^680+1801746 *p^54*q^682+75283*p^52*q^684+1456*p^50*q^686+10532*p^69*q^666+412438*p^67*q^668 +9180672*p^65*q^670+159850578*p^63*q^672+1090571468*p^61*q^674+1020023553*p^59* q^676+140072092*p^57*q^678+8415002*p^55*q^680+309282*p^53*q^682+19895*p^51*q^ 684+14*p^49*q^686+8*p^72*q^662+520*p^70*q^664+67202*p^68*q^666+1841334*p^66*q^ 668+36547190*p^64*q^670+475266944*p^62*q^672+1407161624*p^60*q^674+481431911*p^ 58*q^676+40995732*p^56*q^678+2229632*p^54*q^680+66230*p^52*q^682+3208*p^50*q^ 684+5548*p^69*q^664+290948*p^67*q^666+7531307*p^65*q^668+133907148*p^63*q^670+ 1033623832*p^61*q^672+1099326810*p^59*q^674+167872114*p^57*q^676+10206584*p^55* q^678+447343*p^53*q^680+31912*p^51*q^682+72*p^49*q^684+4*p^72*q^660+72*p^70*q^ 662+49002*p^68*q^664+1501424*p^66*q^666+30688766*p^64*q^668+418843028*p^62*q^ 670+1436822353*p^60*q^672+540167924*p^58*q^674+48032832*p^56*q^676+2469576*p^54 *q^678+49858*p^52*q^680+2666*p^50*q^682+76*p^71*q^660+4844*p^69*q^662+275428*p^ 67*q^664+6541664*p^65*q^666+116758976*p^63*q^668+953825444*p^61*q^670+ 1183104840*p^59*q^672+193946518*p^57*q^674+12624036*p^55*q^676+626160*p^53*q^ 678+27094*p^51*q^680+508*p^49*q^682+8*p^72*q^658+16*p^70*q^660+38078*p^68*q^662 +1192353*p^66*q^664+25420236*p^64*q^666+370247386*p^62*q^668+1404780392*p^60*q^ 670+621140013*p^58*q^672+57770494*p^56*q^674+3018990*p^54*q^676+81740*p^52*q^ 678+9577*p^50*q^680+72*p^71*q^658+1960*p^69*q^660+211176*p^67*q^662+5306752*p^ 65*q^664+97601002*p^63*q^666+892678799*p^61*q^668+1254007900*p^59*q^670+ 229209232*p^57*q^672+15050388*p^55*q^674+733234*p^53*q^676+15460*p^51*q^678+124 *p^49*q^680+264*p^70*q^658+27774*p^68*q^660+966604*p^66*q^662+21503874*p^64*q^ 664+321978020*p^62*q^666+1409686937*p^60*q^668+686261612*p^58*q^670+68581519*p^ 56*q^672+3480958*p^54*q^674+131034*p^52*q^676+10776*p^50*q^678+36*p^48*q^680+ 116*p^71*q^656+614*p^69*q^658+178252*p^67*q^660+4441466*p^65*q^662+84203735*p^ 63*q^664+810806942*p^61*q^666+1335121094*p^59*q^668+264219978*p^57*q^670+ 18246428*p^55*q^672+884086*p^53*q^674+10532*p^51*q^676+1502*p^49*q^678+586*p^70 *q^656+20508*p^68*q^658+836596*p^66*q^660+18123070*p^64*q^662+282626164*p^62*q^ 664+1353355012*p^60*q^666+777603723*p^58*q^668+81339322*p^56*q^670+4389240*p^54 *q^672+190950*p^52*q^674+9530*p^50*q^676+8*p^71*q^654+708*p^69*q^656+133444*p^ 67*q^658+3525589*p^65*q^660+69070580*p^63*q^662+743411844*p^61*q^664+1384702822 *p^59*q^666+311503721*p^57*q^668+22135918*p^55*q^670+1045336*p^53*q^672+18094*p ^51*q^674+3024*p^49*q^676+752*p^70*q^654+8194*p^68*q^656+664620*p^66*q^658+ 15179135*p^64*q^660+244530778*p^62*q^662+1333769283*p^60*q^664+852379398*p^58*q ^666+95613818*p^56*q^668+5101486*p^54*q^670+220176*p^52*q^672+3326*p^50*q^674+ 83*p^48*q^676+2290*p^69*q^654+116771*p^67*q^656+3005306*p^65*q^658+60026866*p^ 63*q^660+666615776*p^61*q^662+1445925148*p^59*q^664+353583584*p^57*q^666+ 26521321*p^55*q^668+1227310*p^53*q^670+36810*p^51*q^672+3792*p^49*q^674+276*p^ 70*q^652+5820*p^68*q^654+559374*p^66*q^656+12637816*p^64*q^658+211078142*p^62*q ^660+1261187330*p^60*q^662+952945057*p^58*q^664+114529332*p^56*q^666+6559772*p^ 54*q^668+316038*p^52*q^670+1716*p^50*q^672+540*p^48*q^674+8*p^71*q^650+3146*p^ 69*q^652+70374*p^67*q^654+2398664*p^65*q^656+49311446*p^63*q^658+603942356*p^61 *q^660+1475008358*p^59*q^662+413004471*p^57*q^664+31266858*p^55*q^666+1385172*p ^53*q^668+44780*p^51*q^670+3120*p^49*q^672+28*p^70*q^650+5818*p^68*q^652+466564 *p^66*q^654+10456830*p^64*q^656+180831542*p^62*q^658+1215404919*p^60*q^660+ 1032681374*p^58*q^662+135081193*p^56*q^664+7846432*p^54*q^666+358778*p^52*q^668 +3998*p^50*q^670+696*p^48*q^672+2600*p^69*q^650+47668*p^67*q^652+2042444*p^65*q ^654+42466632*p^63*q^656+535181712*p^61*q^658+1512688811*p^59*q^660+465826348*p ^57*q^662+37439832*p^55*q^664+1682708*p^53*q^666+69676*p^51*q^668+398*p^49*q^ 670+46*p^47*q^672+148*p^70*q^648+10128*p^68*q^650+382496*p^66*q^652+8683196*p^ 64*q^654+155570376*p^62*q^656+1127300660*p^60*q^658+1131241075*p^58*q^660+ 159201086*p^56*q^662+9847724*p^54*q^664+428160*p^52*q^666+8096*p^50*q^668+1694* p^48*q^670+676*p^69*q^648+27914*p^67*q^650+1656459*p^65*q^652+34976350*p^63*q^ 654+477279719*p^61*q^656+1514022954*p^59*q^658+540769465*p^57*q^660+44682286*p^ 55*q^662+2117713*p^53*q^664+94472*p^51*q^666+160*p^49*q^668+40*p^47*q^670+20*p^ 70*q^646+11438*p^68*q^648+271216*p^66*q^650+7156076*p^64*q^652+131700112*p^62*q ^654+1074591577*p^60*q^656+1205207146*p^58*q^658+186020280*p^56*q^660+11393836* p^54*q^662+437166*p^52*q^664+9896*p^50*q^666+478*p^48*q^668+1100*p^69*q^646+ 30876*p^67*q^648+1458926*p^65*q^650+29961208*p^63*q^652+418533536*p^61*q^654+ 1528113626*p^59*q^656+603499888*p^57*q^658+53868811*p^55*q^660+2659384*p^53*q^ 662+128730*p^51*q^664+964*p^49*q^666+442*p^47*q^668+6716*p^68*q^646+192588*p^66 *q^648+5889004*p^64*q^650+112328504*p^62*q^652+977413172*p^60*q^654+1305613458* p^58*q^656+218107632*p^56*q^658+14011718*p^54*q^660+544338*p^52*q^662+18288*p^ 50*q^664+492*p^69*q^644+34238*p^67*q^646+1166360*p^65*q^648+24539566*p^63*q^650 +369546831*p^61*q^652+1496707598*p^59*q^654+693287039*p^57*q^656+63637938*p^55* q^658+3320728*p^53*q^660+142348*p^51*q^662+1276*p^49*q^664+348*p^47*q^666+5440* p^68*q^644+131820*p^66*q^646+4933602*p^64*q^648+94793552*p^62*q^650+912282678*p ^60*q^652+1365464124*p^58*q^654+255226192*p^56*q^656+16500450*p^54*q^658+617964 *p^52*q^660+25856*p^50*q^662+36*p^48*q^664+44*p^46*q^666+80*p^69*q^642+32330*p^ 67*q^644+944352*p^65*q^646+20872966*p^63*q^648+320453018*p^61*q^650+1484031991* p^59*q^652+763457972*p^57*q^654+76073209*p^55*q^656+4035032*p^53*q^658+152510*p ^51*q^660+2174*p^49*q^662+20*p^70*q^640+4796*p^68*q^642+124598*p^66*q^644+ 4166950*p^64*q^646+81251583*p^62*q^648+821519182*p^60*q^650+1447178688*p^58*q^ 652+296067654*p^56*q^654+20028381*p^54*q^656+838922*p^52*q^658+44638*p^50*q^660 +184*p^48*q^662+134*p^46*q^664+36*p^69*q^640+24114*p^67*q^642+669042*p^65*q^644 +16865604*p^63*q^646+277260625*p^61*q^648+1428617382*p^59*q^650+866247685*p^57* q^652+90543500*p^55*q^654+5040778*p^53*q^656+163832*p^51*q^658+2838*p^49*q^660+ 1456*p^68*q^640+103836*p^66*q^642+3492852*p^64*q^644+67986118*p^62*q^646+ 759500355*p^60*q^648+1497225670*p^58*q^650+343641398*p^56*q^652+23306820*p^54*q ^654+987570*p^52*q^656+44134*p^50*q^658+112*p^48*q^660+2*p^71*q^636+228*p^69*q^ 638+24350*p^67*q^640+567256*p^65*q^642+14394601*p^63*q^644+239968220*p^61*q^646 +1384118074*p^59*q^648+940968234*p^57*q^650+107553224*p^55*q^652+6004620*p^53*q ^654+190302*p^51*q^656+9276*p^49*q^658+12*p^47*q^660+26*p^45*q^662+884*p^68*q^ 638+94310*p^66*q^640+2826128*p^64*q^642+57432391*p^62*q^644+669231804*p^60*q^ 646+1560824728*p^58*q^648+396796540*p^56*q^650+29111175*p^54*q^652+1372844*p^52 *q^654+55848*p^50*q^656+174*p^48*q^658+8*p^71*q^634+28*p^69*q^636+13974*p^67*q^ 638+411787*p^65*q^640+11803558*p^63*q^642+206401386*p^61*q^644+1310672468*p^59* q^646+1048872355*p^57*q^648+126078164*p^55*q^650+6930602*p^53*q^652+211468*p^51 *q^654+10674*p^49*q^656+18*p^70*q^634+1156*p^68*q^636+85918*p^66*q^638+2304264* p^64*q^640+48020468*p^62*q^642+609646963*p^60*q^644+1576251324*p^58*q^646+ 459057116*p^56*q^648+34236598*p^54*q^650+1739362*p^52*q^652+54562*p^50*q^654+ 960*p^48*q^656+2*p^44*q^660+9224*p^67*q^636+345450*p^65*q^638+10055148*p^63*q^ 640+176708646*p^61*q^642+1254213074*p^59*q^644+1126499716*p^57*q^646+149356784* p^55*q^648+8329264*p^53*q^650+279504*p^51*q^652+14930*p^49*q^654+8*p^47*q^656+ 96*p^70*q^632+704*p^68*q^634+75742*p^66*q^636+1869118*p^64*q^638+40594940*p^62* q^640+532026164*p^60*q^642+1614538486*p^58*q^644+520766486*p^56*q^646+41967192* p^54*q^648+2102830*p^52*q^650+54106*p^50*q^652+2124*p^48*q^654+56*p^69*q^632+ 5696*p^67*q^634+287918*p^65*q^636+8108370*p^63*q^638+150845118*p^61*q^640+ 1161620698*p^59*q^642+1240870141*p^57*q^644+175483124*p^55*q^646+10137374*p^53* q^648+416524*p^51*q^650+20176*p^49*q^652+28*p^47*q^654+8*p^70*q^630+112*p^68*q^ 632+54046*p^66*q^634+1427216*p^64*q^636+33621882*p^62*q^638+476952054*p^60*q^ 640+1603997192*p^58*q^642+596526724*p^56*q^644+49082554*p^54*q^646+2374585*p^52 *q^648+42612*p^50*q^650+2042*p^48*q^652+472*p^69*q^630+5234*p^67*q^632+273016*p ^65*q^634+7092355*p^63*q^636+128827096*p^61*q^638+1094548834*p^59*q^640+ 1306641990*p^57*q^642+206948089*p^55*q^644+12345702*p^53*q^646+576038*p^51*q^ 648+19498*p^49*q^650+308*p^47*q^652+8*p^70*q^628+134*p^68*q^630+38560*p^66*q^ 632+1139548*p^64*q^634+28055914*p^62*q^636+411778940*p^60*q^638+1606391230*p^58 *q^640+670124084*p^56*q^642+59698174*p^54*q^644+2889420*p^52*q^646+73990*p^50*q ^648+5408*p^48*q^650+230*p^69*q^628+2468*p^67*q^630+225100*p^65*q^632+5633642*p ^63*q^634+109103894*p^61*q^636+999054916*p^59*q^638+1416268133*p^57*q^640+ 241624560*p^55*q^642+14963884*p^53*q^644+692488*p^51*q^646+11928*p^49*q^648+76* p^47*q^650+1148*p^68*q^628+25850*p^66*q^630+922680*p^64*q^632+23382756*p^62*q^ 634+364752494*p^60*q^636+1572030076*p^58*q^638+758959851*p^56*q^640+69293682*p^ 54*q^642+3347640*p^52*q^644+115172*p^50*q^646+6540*p^48*q^648+20*p^46*q^650+104 *p^69*q^626+1270*p^67*q^628+193980*p^65*q^630+4680692*p^63*q^632+92714476*p^61* q^634+924746044*p^59*q^636+1470517522*p^57*q^638+283144812*p^55*q^640+18264002* p^53*q^642+817098*p^51*q^644+9678*p^49*q^646+776*p^47*q^648+1622*p^68*q^626+ 21108*p^66*q^628+813926*p^64*q^630+19916678*p^62*q^632+312467842*p^60*q^634+ 1542347897*p^58*q^636+841466204*p^56*q^638+84391565*p^54*q^640+4174708*p^52*q^ 642+176050*p^50*q^644+6526*p^48*q^646+40*p^69*q^624+1580*p^67*q^626+130898*p^65 *q^628+3585480*p^63*q^630+77054594*p^61*q^632+828488608*p^59*q^634+1562114203*p ^57*q^636+328354410*p^55*q^638+22125998*p^53*q^640+952054*p^51*q^642+16300*p^49 *q^644+1372*p^47*q^646+816*p^68*q^624+12314*p^66*q^626+696154*p^64*q^628+ 16606032*p^62*q^630+275187209*p^60*q^632+1482326598*p^58*q^634+941387976*p^56*q ^636+97707922*p^54*q^638+4955008*p^52*q^640+204414*p^50*q^642+2864*p^48*q^644+ 40*p^46*q^646+4962*p^67*q^624+111230*p^65*q^626+3032919*p^63*q^628+65220466*p^ 61*q^630+757855815*p^59*q^632+1588790572*p^57*q^634+380941711*p^55*q^636+ 26246892*p^53*q^638+1150434*p^51*q^640+30804*p^49*q^642+2196*p^47*q^644+672*p^ 68*q^622+5692*p^66*q^624+579362*p^64*q^626+13720896*p^62*q^628+233644706*p^60*q ^630+1432163159*p^58*q^632+1031230028*p^56*q^634+118978764*p^54*q^636+6406142*p ^52*q^638+274080*p^50*q^640+1834*p^48*q^642+160*p^46*q^644+16*p^69*q^620+4212*p ^67*q^622+82240*p^65*q^624+2426348*p^63*q^626+54969478*p^61*q^628+668151766*p^ 59*q^630+1663703463*p^57*q^632+435303452*p^55*q^634+31419798*p^53*q^636+1275598 *p^51*q^638+44466*p^49*q^640+2144*p^47*q^642+48*p^68*q^620+8964*p^66*q^622+ 460186*p^64*q^624+11124334*p^62*q^626+201818720*p^60*q^628+1348944622*p^58*q^ 630+1141473438*p^56*q^632+138759480*p^54*q^634+7703242*p^52*q^636+317534*p^50*q ^638+2976*p^48*q^640+316*p^46*q^642+4326*p^67*q^620+46726*p^65*q^622+2113890*p^ 63*q^624+46422698*p^61*q^626+605461721*p^59*q^628+1659654750*p^57*q^630+ 503071774*p^55*q^632+37035630*p^53*q^634+1593258*p^51*q^636+59490*p^49*q^638+ 436*p^47*q^640+8*p^45*q^642+214*p^68*q^618+13328*p^66*q^620+400828*p^64*q^622+ 9315240*p^62*q^624+170704842*p^60*q^626+1275323058*p^58*q^628+1223339262*p^56*q ^630+166042895*p^54*q^632+9554286*p^52*q^634+380934*p^50*q^636+8516*p^48*q^638+ 868*p^46*q^640+1608*p^67*q^618+28908*p^65*q^620+1684354*p^63*q^622+38451243*p^ 61*q^624+526786280*p^59*q^626+1701860596*p^57*q^628+571752064*p^55*q^630+ 45284002*p^53*q^632+2032738*p^51*q^634+78704*p^49*q^636+104*p^47*q^638+12*p^45* q^640+28*p^68*q^616+15276*p^66*q^618+275992*p^64*q^620+7505504*p^62*q^622+ 147258544*p^60*q^624+1187119730*p^58*q^626+1333616192*p^56*q^628+191462980*p^54 *q^630+11054574*p^52*q^632+390850*p^50*q^634+8988*p^48*q^636+364*p^46*q^638+ 1346*p^67*q^616+36652*p^65*q^618+1523649*p^63*q^620+32608744*p^61*q^622+ 470573979*p^59*q^624+1673568186*p^57*q^626+651305438*p^55*q^628+53683098*p^53*q ^630+2572598*p^51*q^632+107192*p^49*q^634+1004*p^47*q^636+152*p^45*q^638+4*p^68 *q^614+12284*p^66*q^616+184760*p^64*q^618+6172062*p^62*q^620+122708868*p^60*q^ 622+1102324165*p^58*q^624+1409797794*p^56*q^626+229002393*p^54*q^628+13696344*p ^52*q^630+504606*p^50*q^632+14588*p^48*q^634+724*p^67*q^614+37232*p^65*q^616+ 1214356*p^63*q^618+26963075*p^61*q^620+405940678*p^59*q^622+1680771001*p^57*q^ 624+733257724*p^55*q^626+64504817*p^53*q^628+3119280*p^51*q^630+119298*p^49*q^ 632+1556*p^47*q^634+184*p^45*q^636+7152*p^66*q^614+143748*p^64*q^616+5161886*p^ 62*q^618+105078630*p^60*q^620+1005695590*p^58*q^622+1510021374*p^56*q^624+ 263122358*p^54*q^626+16141402*p^52*q^628+591130*p^50*q^630+20822*p^48*q^632+32* p^46*q^634+8*p^44*q^636+134*p^67*q^612+44330*p^65*q^614+938464*p^63*q^616+ 22425676*p^61*q^618+358673935*p^59*q^620+1621905506*p^57*q^622+826871540*p^55*q ^624+76106580*p^53*q^626+3914450*p^51*q^628+133868*p^49*q^630+1572*p^47*q^632+4 *p^70*q^608+4*p^68*q^610+6658*p^66*q^612+121290*p^64*q^614+4468506*p^62*q^616+ 88492300*p^60*q^618+922314384*p^58*q^620+1562363072*p^56*q^622+310977444*p^54*q ^624+19533820*p^52*q^626+776900*p^50*q^628+33808*p^48*q^630+284*p^46*q^632+44*p ^44*q^634+96*p^67*q^610+32830*p^65*q^612+688018*p^63*q^614+18211473*p^61*q^616+ 304199890*p^59*q^618+1599174228*p^57*q^620+916855804*p^55*q^622+92369743*p^53*q ^624+4772528*p^51*q^626+151924*p^49*q^628+2550*p^47*q^630+2108*p^66*q^610+ 115154*p^64*q^612+3613584*p^62*q^614+75474800*p^60*q^616+830925730*p^58*q^618+ 1654080059*p^56*q^620+355262094*p^54*q^622+23052630*p^52*q^624+927310*p^50*q^ 626+35442*p^48*q^628+80*p^46*q^630+44*p^69*q^606+52*p^67*q^608+32726*p^65*q^610 +562498*p^63*q^612+15476246*p^61*q^614+266236694*p^59*q^616+1513582086*p^57*q^ 618+1019166817*p^55*q^620+108213128*p^53*q^622+5727766*p^51*q^624+175058*p^49*q ^626+6382*p^47*q^628+24*p^45*q^630+4*p^43*q^632+1620*p^66*q^608+109386*p^64*q^ 610+2976914*p^62*q^612+62318764*p^60*q^614+751805201*p^58*q^616+1677923576*p^56 *q^618+418563505*p^54*q^620+28366890*p^52*q^622+1308702*p^50*q^624+48694*p^48*q ^626+186*p^46*q^628+8*p^69*q^604+16*p^67*q^606+18496*p^65*q^608+417178*p^63*q^ 610+12682832*p^61*q^612+225315642*p^59*q^614+1458464543*p^57*q^616+1112164120*p ^55*q^618+128632792*p^53*q^620+6716944*p^51*q^622+188486*p^49*q^624+7618*p^47*q ^626+184*p^68*q^604+468*p^66*q^606+107760*p^64*q^608+2337578*p^62*q^610+ 52868462*p^60*q^612+665924190*p^58*q^614+1747003261*p^56*q^616+474098870*p^54*q ^618+34130618*p^52*q^620+1594182*p^50*q^622+47946*p^48*q^624+646*p^46*q^626+ 13264*p^65*q^606+363982*p^63*q^608+10800470*p^61*q^610+196220162*p^59*q^612+ 1367175276*p^57*q^614+1216970080*p^55*q^616+150534400*p^53*q^618+7996516*p^51*q ^620+268720*p^49*q^622+11936*p^47*q^624+4*p^45*q^626+152*p^68*q^602+456*p^66*q^ 604+92978*p^64*q^606+1897570*p^62*q^608+43865508*p^60*q^610+591702305*p^58*q^ 612+1736448220*p^56*q^614+552437129*p^54*q^616+41127762*p^52*q^618+2000524*p^50 *q^620+48064*p^48*q^622+1330*p^46*q^624+368*p^67*q^602+6398*p^65*q^604+305680*p ^63*q^606+8680034*p^61*q^608+163876232*p^59*q^610+1294121118*p^57*q^612+ 1314452580*p^55*q^614+179643240*p^53*q^616+9746580*p^51*q^618+378430*p^49*q^620 +15858*p^47*q^622+32*p^45*q^624+16*p^68*q^600+80*p^66*q^602+67682*p^64*q^604+ 1490320*p^62*q^606+36846420*p^60*q^608+520323066*p^58*q^610+1766603109*p^56*q^ 612+617817460*p^54*q^614+48754127*p^52*q^616+2226928*p^50*q^618+40260*p^48*q^ 620+1496*p^46*q^622+848*p^67*q^600+4116*p^65*q^602+310170*p^63*q^604+7343076*p^ 61*q^606+142669340*p^59*q^608+1186717510*p^57*q^610+1418163298*p^55*q^612+ 209423160*p^53*q^614+12102700*p^51*q^616+526382*p^49*q^618+16856*p^47*q^620+164 *p^45*q^622+12*p^68*q^598+408*p^66*q^600+51740*p^64*q^602+1149180*p^62*q^604+ 30390370*p^60*q^606+456276903*p^58*q^608+1728217836*p^56*q^610+708380972*p^54*q ^612+58428994*p^52*q^614+2739092*p^50*q^616+66764*p^48*q^618+3972*p^46*q^620+ 360*p^67*q^598+2126*p^65*q^600+256992*p^63*q^602+5991128*p^61*q^604+118523012*p ^59*q^606+1110337845*p^57*q^608+1495802266*p^55*q^610+249031893*p^53*q^612+ 14499658*p^51*q^614+627526*p^49*q^616+10680*p^47*q^618+48*p^45*q^620+2024*p^66* q^598+27856*p^64*q^600+966682*p^62*q^602+25403342*p^60*q^604+395804266*p^58*q^ 606+1729630016*p^56*q^608+787372296*p^54*q^610+69271189*p^52*q^612+3198878*p^50 *q^614+104108*p^48*q^616+4764*p^46*q^618+8*p^44*q^620+212*p^67*q^596+1020*p^65* q^598+232632*p^63*q^600+4821372*p^61*q^602+101837393*p^59*q^604+1002349962*p^57 *q^606+1596781452*p^55*q^608+286534922*p^53*q^610+17602279*p^51*q^612+752416*p^ 49*q^614+8278*p^47*q^616+576*p^45*q^618+2268*p^66*q^596+21938*p^64*q^598+878752 *p^62*q^600+21345798*p^60*q^602+346391488*p^58*q^604+1655226240*p^56*q^606+ 891658360*p^54*q^608+82966350*p^52*q^610+4118079*p^50*q^612+153886*p^48*q^614+ 5606*p^46*q^616+20*p^67*q^594+2586*p^65*q^596+155704*p^63*q^598+3745240*p^61*q^ 600+83440456*p^59*q^602+914186754*p^57*q^604+1651307782*p^55*q^606+339495794*p^ 53*q^608+21241832*p^51*q^610+883482*p^49*q^612+14044*p^47*q^614+840*p^45*q^616+ 1688*p^66*q^594+9764*p^64*q^596+750564*p^62*q^598+17786692*p^60*q^600+297877600 *p^58*q^602+1630588482*p^56*q^604+977122658*p^54*q^606+97960204*p^52*q^608+ 4755502*p^50*q^610+176964*p^48*q^612+1760*p^46*q^614+32*p^44*q^616+5836*p^65*q^ 594+130042*p^63*q^596+3200504*p^61*q^598+72123570*p^59*q^600+818719100*p^57*q^ 602+1720444243*p^55*q^604+386231140*p^53*q^606+25530171*p^51*q^608+1096970*p^49 *q^610+28110*p^47*q^612+1782*p^45*q^614+692*p^66*q^592+7108*p^64*q^594+639214*p ^62*q^596+14481112*p^60*q^598+256646496*p^58*q^600+1534764130*p^56*q^602+ 1095180947*p^54*q^604+117965168*p^52*q^606+6137792*p^50*q^608+247466*p^48*q^610 +1178*p^46*q^612+104*p^44*q^614+4*p^67*q^590+7352*p^65*q^592+80606*p^63*q^594+ 2559418*p^61*q^596+59128018*p^59*q^598+738164525*p^57*q^600+1755387996*p^55*q^ 602+450478320*p^53*q^604+30061266*p^51*q^606+1264710*p^49*q^608+34242*p^47*q^ 610+1130*p^45*q^612+44*p^66*q^590+8696*p^64*q^592+533084*p^62*q^594+11930236*p^ 60*q^596+218790598*p^58*q^598+1477363886*p^56*q^600+1184316966*p^54*q^602+ 139454748*p^52*q^604+7357990*p^50*q^606+281173*p^48*q^608+3236*p^46*q^610+244*p ^44*q^612+5592*p^65*q^590+51432*p^63*q^592+2194624*p^61*q^594+50484235*p^59*q^ 596+651744482*p^57*q^598+1801161601*p^55*q^600+510656460*p^53*q^602+36351271*p^ 51*q^604+1559444*p^49*q^606+52830*p^47*q^608+118*p^45*q^610+8*p^43*q^612+128*p^ 66*q^588+17640*p^64*q^590+431902*p^62*q^592+9877816*p^60*q^594+187936333*p^58*q ^596+1365393000*p^56*q^598+1298111527*p^54*q^600+164790044*p^52*q^602+9043470*p ^50*q^604+352348*p^48*q^606+5776*p^46*q^608+468*p^44*q^610+1660*p^65*q^588+ 30202*p^63*q^590+1839722*p^61*q^592+41245222*p^59*q^594+578188171*p^57*q^596+ 1795945902*p^55*q^598+594004681*p^53*q^600+43530698*p^51*q^602+2009888*p^49*q^ 604+69330*p^47*q^606+164*p^45*q^608+8*p^43*q^610+24*p^66*q^586+21080*p^64*q^588 +296594*p^62*q^590+7962989*p^60*q^592+158581932*p^58*q^594+1299263979*p^56*q^ 596+1382635540*p^54*q^598+193360969*p^52*q^600+10483086*p^50*q^602+378284*p^48* q^604+7226*p^46*q^606+58*p^44*q^608+1348*p^65*q^586+36594*p^63*q^588+1634578*p^ 61*q^590+35425720*p^59*q^592+506159738*p^57*q^594+1809212483*p^55*q^596+ 662785630*p^53*q^598+52655378*p^51*q^600+2453346*p^49*q^602+87972*p^47*q^604+ 688*p^45*q^606+96*p^43*q^608+4*p^66*q^584+13804*p^64*q^586+211718*p^62*q^588+ 6518418*p^60*q^590+134604593*p^58*q^592+1176781522*p^56*q^594+1499939038*p^54*q ^596+227466958*p^52*q^598+13017749*p^50*q^600+524440*p^48*q^602+14754*p^46*q^ 604+2*p^69*q^580+580*p^65*q^584+48442*p^63*q^586+1278130*p^61*q^588+28787726*p^ 59*q^590+445105358*p^57*q^592+1771384088*p^55*q^594+760502435*p^53*q^596+ 62646982*p^51*q^598+3009184*p^49*q^600+96116*p^47*q^602+812*p^45*q^604+18*p^43* q^606+8756*p^64*q^584+141058*p^62*q^586+5530224*p^60*q^588+113089018*p^58*q^590 +1096902874*p^56*q^592+1564863378*p^54*q^594+266858956*p^52*q^596+15224486*p^50 *q^598+600718*p^48*q^600+16706*p^46*q^602+32*p^44*q^604+8*p^42*q^606+140*p^65*q ^582+51408*p^63*q^584+1049786*p^61*q^586+24206528*p^59*q^588+384804826*p^57*q^ 590+1755098065*p^55*q^592+840078196*p^53*q^594+75015774*p^51*q^596+3656988*p^49 *q^598+129748*p^47*q^600+2000*p^45*q^602+26*p^68*q^578+8*p^66*q^580+5916*p^64*q ^582+137488*p^62*q^584+4646192*p^60*q^586+96593008*p^58*q^588+984141954*p^56*q^ 590+1660051326*p^54*q^592+310393362*p^52*q^594+18665105*p^50*q^596+799302*p^48* q^598+22718*p^46*q^600+108*p^44*q^602+2*p^42*q^604+36*p^65*q^580+40122*p^63*q^ 582+726025*p^61*q^584+19428534*p^59*q^586+332545938*p^57*q^588+1684152992*p^55* q^590+955032214*p^53*q^592+89349064*p^51*q^594+4485328*p^49*q^596+156610*p^47*q ^598+2616*p^45*q^600+2336*p^64*q^580+132712*p^62*q^582+3905100*p^60*q^584+ 80861986*p^58*q^586+904667417*p^56*q^588+1714271882*p^54*q^590+360188532*p^52*q ^592+21932718*p^50*q^594+922317*p^48*q^596+27244*p^46*q^598+116*p^44*q^600+134* p^67*q^576+144*p^65*q^578+32250*p^63*q^580+601178*p^61*q^582+16566848*p^59*q^ 584+285695052*p^57*q^586+1631443782*p^55*q^588+1036468122*p^53*q^590+107392376* p^51*q^592+5332238*p^49*q^594+190814*p^47*q^596+4154*p^45*q^598+8*p^43*q^600+ 1232*p^64*q^578+129520*p^62*q^580+3126802*p^60*q^582+67927918*p^58*q^584+ 798575880*p^56*q^586+1785968604*p^54*q^588+417485052*p^52*q^590+27208580*p^50*q ^592+1237256*p^48*q^594+42568*p^46*q^596+344*p^44*q^598+46*p^67*q^574+20*p^65*q ^576+19536*p^63*q^578+462426*p^61*q^580+13504838*p^59*q^582+245502077*p^57*q^ 584+1537556832*p^55*q^586+1155315605*p^53*q^588+125733838*p^51*q^590+6280210*p^ 49*q^592+220442*p^47*q^594+4614*p^45*q^596+348*p^66*q^574+1016*p^64*q^576+ 113922*p^62*q^578+2507878*p^60*q^580+56366244*p^58*q^582+724364313*p^56*q^584+ 1804484170*p^54*q^586+483451520*p^52*q^588+32332086*p^50*q^590+1539380*p^48*q^ 592+45916*p^46*q^594+454*p^44*q^596+13040*p^63*q^576+417070*p^61*q^578+11434245 *p^59*q^580+210159222*p^57*q^582+1472051851*p^55*q^584+1240495398*p^53*q^586+ 149205759*p^51*q^588+7488076*p^49*q^590+273840*p^47*q^592+8196*p^45*q^594+24*p^ 43*q^596+458*p^66*q^572+600*p^64*q^574+96632*p^62*q^576+2029910*p^60*q^578+ 47707344*p^58*q^580+628793936*p^56*q^582+1847110129*p^54*q^584+549182814*p^52*q ^586+39826964*p^50*q^588+1862064*p^48*q^590+57950*p^46*q^592+802*p^44*q^594+476 *p^65*q^572+6962*p^63*q^574+344012*p^61*q^576+9173196*p^59*q^578+177991746*p^57 *q^580+1360554738*p^55*q^582+1369421659*p^53*q^584+176412314*p^51*q^586+9144440 *p^49*q^588+395928*p^47*q^590+12246*p^45*q^592+20*p^43*q^594+36*p^66*q^570+88*p ^64*q^572+71194*p^62*q^574+1607784*p^60*q^576+39224302*p^58*q^578+563651557*p^ 56*q^580+1829582138*p^54*q^582+629487197*p^52*q^584+46324720*p^50*q^586+2075817 *p^48*q^588+47220*p^46*q^590+732*p^44*q^592+1746*p^65*q^570+5684*p^63*q^572+ 326414*p^61*q^574+7945986*p^59*q^576+152176572*p^57*q^578+1276605638*p^55*q^580 +1440319148*p^53*q^582+208610131*p^51*q^584+11304362*p^49*q^586+534720*p^47*q^ 588+15640*p^45*q^590+116*p^43*q^592+36*p^66*q^568+362*p^64*q^570+48834*p^62*q^ 572+1303686*p^60*q^574+32559394*p^58*q^576+484836464*p^56*q^578+1833946768*p^54 *q^580+708484454*p^52*q^582+56955337*p^50*q^584+2538984*p^48*q^586+79936*p^46*q ^588+2682*p^44*q^590+660*p^65*q^568+2390*p^63*q^570+275310*p^61*q^572+6213164*p ^59*q^574+129022220*p^57*q^576+1164799034*p^55*q^578+1560264773*p^53*q^580+ 243484488*p^51*q^582+13567621*p^49*q^584+610904*p^47*q^586+9980*p^45*q^588+20*p ^43*q^590+3212*p^64*q^568+33610*p^62*q^570+1059072*p^60*q^572+27211552*p^58*q^ 574+427726174*p^56*q^576+1789827960*p^54*q^578+801688650*p^52*q^580+66557548*p^ 50*q^582+3005247*p^48*q^584+123288*p^46*q^586+3664*p^44*q^588+8*p^42*q^590+408* p^65*q^566+1202*p^63*q^568+226240*p^61*q^570+5244479*p^59*q^572+108255086*p^57* q^574+1076986612*p^55*q^576+1621301076*p^53*q^578+286410646*p^51*q^580+16478348 *p^49*q^582+716912*p^47*q^584+11012*p^45*q^586+296*p^43*q^588+3618*p^64*q^566+ 23958*p^62*q^568+954548*p^60*q^570+22807570*p^58*q^572+367197180*p^56*q^574+ 1756359273*p^54*q^576+889972550*p^52*q^578+81056942*p^50*q^580+3745418*p^48*q^ 582+175112*p^46*q^584+3212*p^44*q^586+94*p^65*q^564+3272*p^63*q^566+165236*p^61 *q^568+4067524*p^59*q^570+90320276*p^57*q^572+960038708*p^55*q^574+1722570081*p ^53*q^576+332370982*p^51*q^578+20079398*p^49*q^580+856194*p^47*q^582+20330*p^45 *q^584+732*p^43*q^586+2276*p^64*q^564+12724*p^62*q^566+777560*p^60*q^568+ 18773396*p^58*q^570+321701189*p^56*q^572+1685458874*p^54*q^574+998203434*p^52*q ^576+94397928*p^50*q^578+4413048*p^48*q^580+187714*p^46*q^582+1020*p^44*q^584+8 *p^42*q^586+9072*p^63*q^564+135664*p^61*q^566+3499896*p^59*q^568+76664052*p^57* q^570+876620792*p^55*q^572+1748762828*p^53*q^574+385369696*p^51*q^576+23975096* p^49*q^578+1022542*p^47*q^580+38834*p^45*q^582+780*p^43*q^584+1350*p^64*q^562+ 7906*p^62*q^564+665534*p^60*q^566+15586382*p^58*q^568+271933904*p^56*q^570+ 1627209240*p^54*q^572+1092201610*p^52*q^574+115671991*p^50*q^576+5592484*p^48*q ^578+259851*p^46*q^580+2424*p^44*q^582+112*p^42*q^584+40*p^65*q^560+8256*p^63*q ^562+90856*p^61*q^564+2745632*p^59*q^566+63794140*p^57*q^568+772963626*p^55*q^ 570+1830035625*p^53*q^572+442345284*p^51*q^574+28833588*p^49*q^576+1168602*p^47 *q^578+47166*p^45*q^580+236*p^43*q^582+142*p^64*q^560+13954*p^62*q^562+541112*p ^60*q^564+12712968*p^58*q^566+235669314*p^56*q^568+1528326572*p^54*q^570+ 1209653431*p^52*q^572+134335010*p^50*q^574+6735118*p^48*q^576+291540*p^46*q^578 +4908*p^44*q^580+92*p^42*q^582+7542*p^63*q^560+59176*p^61*q^562+2378450*p^59*q^ 564+53519236*p^57*q^566+698410303*p^55*q^568+1825937202*p^53*q^570+510663274*p^ 51*q^572+34471122*p^49*q^574+1430296*p^47*q^576+62716*p^45*q^578+156*p^43*q^580 +8*p^41*q^582+540*p^64*q^558+20996*p^62*q^560+450014*p^60*q^562+10620694*p^58*q ^564+198590616*p^56*q^566+1443597205*p^54*q^568+1296925180*p^52*q^570+161655083 *p^50*q^572+8339116*p^48*q^574+359004*p^46*q^576+10926*p^44*q^578+72*p^42*q^580 +2494*p^63*q^558+38730*p^61*q^560+1910744*p^59*q^562+44433267*p^57*q^564+ 606339500*p^55*q^566+1876146341*p^53*q^568+581048824*p^51*q^570+41902874*p^49*q ^572+1768284*p^47*q^574+82388*p^45*q^576+256*p^43*q^578+4*p^41*q^580+60*p^64*q^ 556+23552*p^62*q^558+329772*p^60*q^560+8584918*p^58*q^562+170497344*p^56*q^564+ 1341424674*p^54*q^566+1411667590*p^52*q^568+186824016*p^50*q^570+9786042*p^48*q ^572+373066*p^46*q^574+10923*p^44*q^576+3096*p^63*q^556+50020*p^61*q^558+ 1674498*p^59*q^560+37454238*p^57*q^562+540158155*p^55*q^564+1838837476*p^53*q^ 566+664750041*p^51*q^568+50084256*p^49*q^570+2208290*p^47*q^572+111364*p^45*q^ 574+1504*p^43*q^576+8*p^41*q^578+4*p^64*q^554+15604*p^62*q^556+226096*p^60*q^ 558+7077594*p^58*q^560+142478660*p^56*q^562+1245384183*p^54*q^564+1494859894*p^ 52*q^566+222989032*p^50*q^568+12076512*p^48*q^570+463550*p^46*q^572+19146*p^44* q^574+1380*p^63*q^554+54930*p^61*q^556+1377638*p^59*q^558+30890950*p^57*q^560+ 465253274*p^55*q^562+1843701936*p^53*q^564+746169260*p^51*q^566+60586182*p^49*q ^568+2681284*p^47*q^570+125254*p^45*q^572+2030*p^43*q^574+11932*p^62*q^554+ 176898*p^60*q^556+5733914*p^58*q^558+121665867*p^56*q^560+1133403708*p^54*q^562 +1601601654*p^52*q^564+257486620*p^50*q^566+14415504*p^48*q^568+530226*p^46*q^ 570+24952*p^44*q^572+64*p^42*q^574+284*p^63*q^552+54876*p^61*q^554+1082754*p^59 *q^556+25846804*p^57*q^558+410753575*p^55*q^560+1779776170*p^53*q^562+841005341 *p^51*q^564+71490874*p^49*q^566+3320452*p^47*q^568+131326*p^45*q^570+2822*p^43* q^572+36*p^64*q^550+10964*p^62*q^552+166054*p^60*q^554+4992070*p^58*q^556+ 101851140*p^56*q^558+1038838770*p^54*q^560+1655909620*p^52*q^562+304803524*p^50 *q^564+17580500*p^48*q^566+683446*p^46*q^568+44542*p^44*q^570+388*p^42*q^572+ 188*p^63*q^550+39844*p^61*q^552+798806*p^59*q^554+20773863*p^57*q^556+347934408 *p^55*q^558+1755012262*p^53*q^560+934476212*p^51*q^562+86667623*p^49*q^564+ 4077262*p^47*q^566+152400*p^45*q^568+3456*p^43*q^570+3456*p^62*q^550+152400*p^ 60*q^552+4077262*p^58*q^554+86667623*p^56*q^556+934476212*p^54*q^558+1755012262 *p^52*q^560+347934408*p^50*q^562+20773863*p^48*q^564+798806*p^46*q^566+39844*p^ 44*q^568+188*p^42*q^570+388*p^63*q^548+44542*p^61*q^550+683446*p^59*q^552+ 17580500*p^57*q^554+304803524*p^55*q^556+1655909620*p^53*q^558+1038838770*p^51* q^560+101851140*p^49*q^562+4992070*p^47*q^564+166054*p^45*q^566+10964*p^43*q^ 568+36*p^41*q^570+2822*p^62*q^548+131326*p^60*q^550+3320452*p^58*q^552+71490874 *p^56*q^554+841005341*p^54*q^556+1779776170*p^52*q^558+410753575*p^50*q^560+ 25846804*p^48*q^562+1082754*p^46*q^564+54876*p^44*q^566+284*p^42*q^568+64*p^63* q^546+24952*p^61*q^548+530226*p^59*q^550+14415504*p^57*q^552+257486620*p^55*q^ 554+1601601654*p^53*q^556+1133403708*p^51*q^558+121665867*p^49*q^560+5733914*p^ 47*q^562+176898*p^45*q^564+11932*p^43*q^566+2030*p^62*q^546+125254*p^60*q^548+ 2681284*p^58*q^550+60586182*p^56*q^552+746169260*p^54*q^554+1843701936*p^52*q^ 556+465253274*p^50*q^558+30890950*p^48*q^560+1377638*p^46*q^562+54930*p^44*q^ 564+1380*p^42*q^566+19146*p^61*q^546+463550*p^59*q^548+12076512*p^57*q^550+ 222989032*p^55*q^552+1494859894*p^53*q^554+1245384183*p^51*q^556+142478660*p^49 *q^558+7077594*p^47*q^560+226096*p^45*q^562+15604*p^43*q^564+4*p^41*q^566+8*p^ 64*q^542+1504*p^62*q^544+111364*p^60*q^546+2208290*p^58*q^548+50084256*p^56*q^ 550+664750041*p^54*q^552+1838837476*p^52*q^554+540158155*p^50*q^556+37454238*p^ 48*q^558+1674498*p^46*q^560+50020*p^44*q^562+3096*p^42*q^564+10923*p^61*q^544+ 373066*p^59*q^546+9786042*p^57*q^548+186824016*p^55*q^550+1411667590*p^53*q^552 +1341424674*p^51*q^554+170497344*p^49*q^556+8584918*p^47*q^558+329772*p^45*q^ 560+23552*p^43*q^562+60*p^41*q^564+4*p^64*q^540+256*p^62*q^542+82388*p^60*q^544 +1768284*p^58*q^546+41902874*p^56*q^548+581048824*p^54*q^550+1876146341*p^52*q^ 552+606339500*p^50*q^554+44433267*p^48*q^556+1910744*p^46*q^558+38730*p^44*q^ 560+2494*p^42*q^562+72*p^63*q^540+10926*p^61*q^542+359004*p^59*q^544+8339116*p^ 57*q^546+161655083*p^55*q^548+1296925180*p^53*q^550+1443597205*p^51*q^552+ 198590616*p^49*q^554+10620694*p^47*q^556+450014*p^45*q^558+20996*p^43*q^560+540 *p^41*q^562+8*p^64*q^538+156*p^62*q^540+62716*p^60*q^542+1430296*p^58*q^544+ 34471122*p^56*q^546+510663274*p^54*q^548+1825937202*p^52*q^550+698410303*p^50*q ^552+53519236*p^48*q^554+2378450*p^46*q^556+59176*p^44*q^558+7542*p^42*q^560+92 *p^63*q^538+4908*p^61*q^540+291540*p^59*q^542+6735118*p^57*q^544+134335010*p^55 *q^546+1209653431*p^53*q^548+1528326572*p^51*q^550+235669314*p^49*q^552+ 12712968*p^47*q^554+541112*p^45*q^556+13954*p^43*q^558+142*p^41*q^560+236*p^62* q^538+47166*p^60*q^540+1168602*p^58*q^542+28833588*p^56*q^544+442345284*p^54*q^ 546+1830035625*p^52*q^548+772963626*p^50*q^550+63794140*p^48*q^552+2745632*p^46 *q^554+90856*p^44*q^556+8256*p^42*q^558+40*p^40*q^560+112*p^63*q^536+2424*p^61* q^538+259851*p^59*q^540+5592484*p^57*q^542+115671991*p^55*q^544+1092201610*p^53 *q^546+1627209240*p^51*q^548+271933904*p^49*q^550+15586382*p^47*q^552+665534*p^ 45*q^554+7906*p^43*q^556+1350*p^41*q^558+780*p^62*q^536+38834*p^60*q^538+ 1022542*p^58*q^540+23975096*p^56*q^542+385369696*p^54*q^544+1748762828*p^52*q^ 546+876620792*p^50*q^548+76664052*p^48*q^550+3499896*p^46*q^552+135664*p^44*q^ 554+9072*p^42*q^556+8*p^63*q^534+1020*p^61*q^536+187714*p^59*q^538+4413048*p^57 *q^540+94397928*p^55*q^542+998203434*p^53*q^544+1685458874*p^51*q^546+321701189 *p^49*q^548+18773396*p^47*q^550+777560*p^45*q^552+12724*p^43*q^554+2276*p^41*q^ 556+732*p^62*q^534+20330*p^60*q^536+856194*p^58*q^538+20079398*p^56*q^540+ 332370982*p^54*q^542+1722570081*p^52*q^544+960038708*p^50*q^546+90320276*p^48*q ^548+4067524*p^46*q^550+165236*p^44*q^552+3272*p^42*q^554+94*p^40*q^556+3212*p^ 61*q^534+175112*p^59*q^536+3745418*p^57*q^538+81056942*p^55*q^540+889972550*p^ 53*q^542+1756359273*p^51*q^544+367197180*p^49*q^546+22807570*p^47*q^548+954548* p^45*q^550+23958*p^43*q^552+3618*p^41*q^554+296*p^62*q^532+11012*p^60*q^534+ 716912*p^58*q^536+16478348*p^56*q^538+286410646*p^54*q^540+1621301076*p^52*q^ 542+1076986612*p^50*q^544+108255086*p^48*q^546+5244479*p^46*q^548+226240*p^44*q ^550+1202*p^42*q^552+408*p^40*q^554+8*p^63*q^530+3664*p^61*q^532+123288*p^59*q^ 534+3005247*p^57*q^536+66557548*p^55*q^538+801688650*p^53*q^540+1789827960*p^51 *q^542+427726174*p^49*q^544+27211552*p^47*q^546+1059072*p^45*q^548+33610*p^43*q ^550+3212*p^41*q^552+20*p^62*q^530+9980*p^60*q^532+610904*p^58*q^534+13567621*p ^56*q^536+243484488*p^54*q^538+1560264773*p^52*q^540+1164799034*p^50*q^542+ 129022220*p^48*q^544+6213164*p^46*q^546+275310*p^44*q^548+2390*p^42*q^550+660*p ^40*q^552+2682*p^61*q^530+79936*p^59*q^532+2538984*p^57*q^534+56955337*p^55*q^ 536+708484454*p^53*q^538+1833946768*p^51*q^540+484836464*p^49*q^542+32559394*p^ 47*q^544+1303686*p^45*q^546+48834*p^43*q^548+362*p^41*q^550+36*p^39*q^552+116*p ^62*q^528+15640*p^60*q^530+534720*p^58*q^532+11304362*p^56*q^534+208610131*p^54 *q^536+1440319148*p^52*q^538+1276605638*p^50*q^540+152176572*p^48*q^542+7945986 *p^46*q^544+326414*p^44*q^546+5684*p^42*q^548+1746*p^40*q^550+732*p^61*q^528+ 47220*p^59*q^530+2075817*p^57*q^532+46324720*p^55*q^534+629487197*p^53*q^536+ 1829582138*p^51*q^538+563651557*p^49*q^540+39224302*p^47*q^542+1607784*p^45*q^ 544+71194*p^43*q^546+88*p^41*q^548+36*p^39*q^550+20*p^62*q^526+12246*p^60*q^528 +395928*p^58*q^530+9144440*p^56*q^532+176412314*p^54*q^534+1369421659*p^52*q^ 536+1360554738*p^50*q^538+177991746*p^48*q^540+9173196*p^46*q^542+344012*p^44*q ^544+6962*p^42*q^546+476*p^40*q^548+802*p^61*q^526+57950*p^59*q^528+1862064*p^ 57*q^530+39826964*p^55*q^532+549182814*p^53*q^534+1847110129*p^51*q^536+ 628793936*p^49*q^538+47707344*p^47*q^540+2029910*p^45*q^542+96632*p^43*q^544+ 600*p^41*q^546+458*p^39*q^548+24*p^62*q^524+8196*p^60*q^526+273840*p^58*q^528+ 7488076*p^56*q^530+149205759*p^54*q^532+1240495398*p^52*q^534+1472051851*p^50*q ^536+210159222*p^48*q^538+11434245*p^46*q^540+417070*p^44*q^542+13040*p^42*q^ 544+454*p^61*q^524+45916*p^59*q^526+1539380*p^57*q^528+32332086*p^55*q^530+ 483451520*p^53*q^532+1804484170*p^51*q^534+724364313*p^49*q^536+56366244*p^47*q ^538+2507878*p^45*q^540+113922*p^43*q^542+1016*p^41*q^544+348*p^39*q^546+4614*p ^60*q^524+220442*p^58*q^526+6280210*p^56*q^528+125733838*p^54*q^530+1155315605* p^52*q^532+1537556832*p^50*q^534+245502077*p^48*q^536+13504838*p^46*q^538+ 462426*p^44*q^540+19536*p^42*q^542+20*p^40*q^544+46*p^38*q^546+344*p^61*q^522+ 42568*p^59*q^524+1237256*p^57*q^526+27208580*p^55*q^528+417485052*p^53*q^530+ 1785968604*p^51*q^532+798575880*p^49*q^534+67927918*p^47*q^536+3126802*p^45*q^ 538+129520*p^43*q^540+1232*p^41*q^542+8*p^62*q^520+4154*p^60*q^522+190814*p^58* q^524+5332238*p^56*q^526+107392376*p^54*q^528+1036468122*p^52*q^530+1631443782* p^50*q^532+285695052*p^48*q^534+16566848*p^46*q^536+601178*p^44*q^538+32250*p^ 42*q^540+144*p^40*q^542+134*p^38*q^544+116*p^61*q^520+27244*p^59*q^522+922317*p ^57*q^524+21932718*p^55*q^526+360188532*p^53*q^528+1714271882*p^51*q^530+ 904667417*p^49*q^532+80861986*p^47*q^534+3905100*p^45*q^536+132712*p^43*q^538+ 2336*p^41*q^540+2616*p^60*q^520+156610*p^58*q^522+4485328*p^56*q^524+89349064*p ^54*q^526+955032214*p^52*q^528+1684152992*p^50*q^530+332545938*p^48*q^532+ 19428534*p^46*q^534+726025*p^44*q^536+40122*p^42*q^538+36*p^40*q^540+2*p^63*q^ 516+108*p^61*q^518+22718*p^59*q^520+799302*p^57*q^522+18665105*p^55*q^524+ 310393362*p^53*q^526+1660051326*p^51*q^528+984141954*p^49*q^530+96593008*p^47*q ^532+4646192*p^45*q^534+137488*p^43*q^536+5916*p^41*q^538+8*p^39*q^540+26*p^37* q^542+2000*p^60*q^518+129748*p^58*q^520+3656988*p^56*q^522+75015774*p^54*q^524+ 840078196*p^52*q^526+1755098065*p^50*q^528+384804826*p^48*q^530+24206528*p^46*q ^532+1049786*p^44*q^534+51408*p^42*q^536+140*p^40*q^538+8*p^63*q^514+32*p^61*q^ 516+16706*p^59*q^518+600718*p^57*q^520+15224486*p^55*q^522+266858956*p^53*q^524 +1564863378*p^51*q^526+1096902874*p^49*q^528+113089018*p^47*q^530+5530224*p^45* q^532+141058*p^43*q^534+8756*p^41*q^536+18*p^62*q^514+812*p^60*q^516+96116*p^58 *q^518+3009184*p^56*q^520+62646982*p^54*q^522+760502435*p^52*q^524+1771384088*p ^50*q^526+445105358*p^48*q^528+28787726*p^46*q^530+1278130*p^44*q^532+48442*p^ 42*q^534+580*p^40*q^536+2*p^36*q^540+14754*p^59*q^516+524440*p^57*q^518+ 13017749*p^55*q^520+227466958*p^53*q^522+1499939038*p^51*q^524+1176781522*p^49* q^526+134604593*p^47*q^528+6518418*p^45*q^530+211718*p^43*q^532+13804*p^41*q^ 534+4*p^39*q^536+96*p^62*q^512+688*p^60*q^514+87972*p^58*q^516+2453346*p^56*q^ 518+52655378*p^54*q^520+662785630*p^52*q^522+1809212483*p^50*q^524+506159738*p^ 48*q^526+35425720*p^46*q^528+1634578*p^44*q^530+36594*p^42*q^532+1348*p^40*q^ 534+58*p^61*q^512+7226*p^59*q^514+378284*p^57*q^516+10483086*p^55*q^518+ 193360969*p^53*q^520+1382635540*p^51*q^522+1299263979*p^49*q^524+158581932*p^47 *q^526+7962989*p^45*q^528+296594*p^43*q^530+21080*p^41*q^532+24*p^39*q^534+8*p^ 62*q^510+164*p^60*q^512+69330*p^58*q^514+2009888*p^56*q^516+43530698*p^54*q^518 +594004681*p^52*q^520+1795945902*p^50*q^522+578188171*p^48*q^524+41245222*p^46* q^526+1839722*p^44*q^528+30202*p^42*q^530+1660*p^40*q^532+468*p^61*q^510+5776*p ^59*q^512+352348*p^57*q^514+9043470*p^55*q^516+164790044*p^53*q^518+1298111527* p^51*q^520+1365393000*p^49*q^522+187936333*p^47*q^524+9877816*p^45*q^526+431902 *p^43*q^528+17640*p^41*q^530+128*p^39*q^532+8*p^62*q^508+118*p^60*q^510+52830*p ^58*q^512+1559444*p^56*q^514+36351271*p^54*q^516+510656460*p^52*q^518+ 1801161601*p^50*q^520+651744482*p^48*q^522+50484235*p^46*q^524+2194624*p^44*q^ 526+51432*p^42*q^528+5592*p^40*q^530+244*p^61*q^508+3236*p^59*q^510+281173*p^57 *q^512+7357990*p^55*q^514+139454748*p^53*q^516+1184316966*p^51*q^518+1477363886 *p^49*q^520+218790598*p^47*q^522+11930236*p^45*q^524+533084*p^43*q^526+8696*p^ 41*q^528+44*p^39*q^530+1130*p^60*q^508+34242*p^58*q^510+1264710*p^56*q^512+ 30061266*p^54*q^514+450478320*p^52*q^516+1755387996*p^50*q^518+738164525*p^48*q ^520+59128018*p^46*q^522+2559418*p^44*q^524+80606*p^42*q^526+7352*p^40*q^528+4* p^38*q^530+104*p^61*q^506+1178*p^59*q^508+247466*p^57*q^510+6137792*p^55*q^512+ 117965168*p^53*q^514+1095180947*p^51*q^516+1534764130*p^49*q^518+256646496*p^47 *q^520+14481112*p^45*q^522+639214*p^43*q^524+7108*p^41*q^526+692*p^39*q^528+ 1782*p^60*q^506+28110*p^58*q^508+1096970*p^56*q^510+25530171*p^54*q^512+ 386231140*p^52*q^514+1720444243*p^50*q^516+818719100*p^48*q^518+72123570*p^46*q ^520+3200504*p^44*q^522+130042*p^42*q^524+5836*p^40*q^526+32*p^61*q^504+1760*p^ 59*q^506+176964*p^57*q^508+4755502*p^55*q^510+97960204*p^53*q^512+977122658*p^ 51*q^514+1630588482*p^49*q^516+297877600*p^47*q^518+17786692*p^45*q^520+750564* p^43*q^522+9764*p^41*q^524+1688*p^39*q^526+840*p^60*q^504+14044*p^58*q^506+ 883482*p^56*q^508+21241832*p^54*q^510+339495794*p^52*q^512+1651307782*p^50*q^ 514+914186754*p^48*q^516+83440456*p^46*q^518+3745240*p^44*q^520+155704*p^42*q^ 522+2586*p^40*q^524+20*p^38*q^526+5606*p^59*q^504+153886*p^57*q^506+4118079*p^ 55*q^508+82966350*p^53*q^510+891658360*p^51*q^512+1655226240*p^49*q^514+ 346391488*p^47*q^516+21345798*p^45*q^518+878752*p^43*q^520+21938*p^41*q^522+ 2268*p^39*q^524+576*p^60*q^502+8278*p^58*q^504+752416*p^56*q^506+17602279*p^54* q^508+286534922*p^52*q^510+1596781452*p^50*q^512+1002349962*p^48*q^514+ 101837393*p^46*q^516+4821372*p^44*q^518+232632*p^42*q^520+1020*p^40*q^522+212*p ^38*q^524+8*p^61*q^500+4764*p^59*q^502+104108*p^57*q^504+3198878*p^55*q^506+ 69271189*p^53*q^508+787372296*p^51*q^510+1729630016*p^49*q^512+395804266*p^47*q ^514+25403342*p^45*q^516+966682*p^43*q^518+27856*p^41*q^520+2024*p^39*q^522+48* p^60*q^500+10680*p^58*q^502+627526*p^56*q^504+14499658*p^54*q^506+249031893*p^ 52*q^508+1495802266*p^50*q^510+1110337845*p^48*q^512+118523012*p^46*q^514+ 5991128*p^44*q^516+256992*p^42*q^518+2126*p^40*q^520+360*p^38*q^522+3972*p^59*q ^500+66764*p^57*q^502+2739092*p^55*q^504+58428994*p^53*q^506+708380972*p^51*q^ 508+1728217836*p^49*q^510+456276903*p^47*q^512+30390370*p^45*q^514+1149180*p^43 *q^516+51740*p^41*q^518+408*p^39*q^520+12*p^37*q^522+164*p^60*q^498+16856*p^58* q^500+526382*p^56*q^502+12102700*p^54*q^504+209423160*p^52*q^506+1418163298*p^ 50*q^508+1186717510*p^48*q^510+142669340*p^46*q^512+7343076*p^44*q^514+310170*p ^42*q^516+4116*p^40*q^518+848*p^38*q^520+1496*p^59*q^498+40260*p^57*q^500+ 2226928*p^55*q^502+48754127*p^53*q^504+617817460*p^51*q^506+1766603109*p^49*q^ 508+520323066*p^47*q^510+36846420*p^45*q^512+1490320*p^43*q^514+67682*p^41*q^ 516+80*p^39*q^518+16*p^37*q^520+32*p^60*q^496+15858*p^58*q^498+378430*p^56*q^ 500+9746580*p^54*q^502+179643240*p^52*q^504+1314452580*p^50*q^506+1294121118*p^ 48*q^508+163876232*p^46*q^510+8680034*p^44*q^512+305680*p^42*q^514+6398*p^40*q^ 516+368*p^38*q^518+1330*p^59*q^496+48064*p^57*q^498+2000524*p^55*q^500+41127762 *p^53*q^502+552437129*p^51*q^504+1736448220*p^49*q^506+591702305*p^47*q^508+ 43865508*p^45*q^510+1897570*p^43*q^512+92978*p^41*q^514+456*p^39*q^516+152*p^37 *q^518+4*p^60*q^494+11936*p^58*q^496+268720*p^56*q^498+7996516*p^54*q^500+ 150534400*p^52*q^502+1216970080*p^50*q^504+1367175276*p^48*q^506+196220162*p^46 *q^508+10800470*p^44*q^510+363982*p^42*q^512+13264*p^40*q^514+646*p^59*q^494+ 47946*p^57*q^496+1594182*p^55*q^498+34130618*p^53*q^500+474098870*p^51*q^502+ 1747003261*p^49*q^504+665924190*p^47*q^506+52868462*p^45*q^508+2337578*p^43*q^ 510+107760*p^41*q^512+468*p^39*q^514+184*p^37*q^516+7618*p^58*q^494+188486*p^56 *q^496+6716944*p^54*q^498+128632792*p^52*q^500+1112164120*p^50*q^502+1458464543 *p^48*q^504+225315642*p^46*q^506+12682832*p^44*q^508+417178*p^42*q^510+18496*p^ 40*q^512+16*p^38*q^514+8*p^36*q^516+186*p^59*q^492+48694*p^57*q^494+1308702*p^ 55*q^496+28366890*p^53*q^498+418563505*p^51*q^500+1677923576*p^49*q^502+ 751805201*p^47*q^504+62318764*p^45*q^506+2976914*p^43*q^508+109386*p^41*q^510+ 1620*p^39*q^512+4*p^62*q^488+24*p^60*q^490+6382*p^58*q^492+175058*p^56*q^494+ 5727766*p^54*q^496+108213128*p^52*q^498+1019166817*p^50*q^500+1513582086*p^48*q ^502+266236694*p^46*q^504+15476246*p^44*q^506+562498*p^42*q^508+32726*p^40*q^ 510+52*p^38*q^512+44*p^36*q^514+80*p^59*q^490+35442*p^57*q^492+927310*p^55*q^ 494+23052630*p^53*q^496+355262094*p^51*q^498+1654080059*p^49*q^500+830925730*p^ 47*q^502+75474800*p^45*q^504+3613584*p^43*q^506+115154*p^41*q^508+2108*p^39*q^ 510+2550*p^58*q^490+151924*p^56*q^492+4772528*p^54*q^494+92369743*p^52*q^496+ 916855804*p^50*q^498+1599174228*p^48*q^500+304199890*p^46*q^502+18211473*p^44*q ^504+688018*p^42*q^506+32830*p^40*q^508+96*p^38*q^510+44*p^61*q^486+284*p^59*q^ 488+33808*p^57*q^490+776900*p^55*q^492+19533820*p^53*q^494+310977444*p^51*q^496 +1562363072*p^49*q^498+922314384*p^47*q^500+88492300*p^45*q^502+4468506*p^43*q^ 504+121290*p^41*q^506+6658*p^39*q^508+4*p^37*q^510+4*p^35*q^512+1572*p^58*q^488 +133868*p^56*q^490+3914450*p^54*q^492+76106580*p^52*q^494+826871540*p^50*q^496+ 1621905506*p^48*q^498+358673935*p^46*q^500+22425676*p^44*q^502+938464*p^42*q^ 504+44330*p^40*q^506+134*p^38*q^508+8*p^61*q^484+32*p^59*q^486+20822*p^57*q^488 +591130*p^55*q^490+16141402*p^53*q^492+263122358*p^51*q^494+1510021374*p^49*q^ 496+1005695590*p^47*q^498+105078630*p^45*q^500+5161886*p^43*q^502+143748*p^41*q ^504+7152*p^39*q^506+184*p^60*q^484+1556*p^58*q^486+119298*p^56*q^488+3119280*p ^54*q^490+64504817*p^52*q^492+733257724*p^50*q^494+1680771001*p^48*q^496+ 405940678*p^46*q^498+26963075*p^44*q^500+1214356*p^42*q^502+37232*p^40*q^504+ 724*p^38*q^506+14588*p^57*q^486+504606*p^55*q^488+13696344*p^53*q^490+229002393 *p^51*q^492+1409797794*p^49*q^494+1102324165*p^47*q^496+122708868*p^45*q^498+ 6172062*p^43*q^500+184760*p^41*q^502+12284*p^39*q^504+4*p^37*q^506+152*p^60*q^ 482+1004*p^58*q^484+107192*p^56*q^486+2572598*p^54*q^488+53683098*p^52*q^490+ 651305438*p^50*q^492+1673568186*p^48*q^494+470573979*p^46*q^496+32608744*p^44*q ^498+1523649*p^42*q^500+36652*p^40*q^502+1346*p^38*q^504+364*p^59*q^482+8988*p^ 57*q^484+390850*p^55*q^486+11054574*p^53*q^488+191462980*p^51*q^490+1333616192* p^49*q^492+1187119730*p^47*q^494+147258544*p^45*q^496+7505504*p^43*q^498+275992 *p^41*q^500+15276*p^39*q^502+28*p^37*q^504+12*p^60*q^480+104*p^58*q^482+78704*p ^56*q^484+2032738*p^54*q^486+45284002*p^52*q^488+571752064*p^50*q^490+ 1701860596*p^48*q^492+526786280*p^46*q^494+38451243*p^44*q^496+1684354*p^42*q^ 498+28908*p^40*q^500+1608*p^38*q^502+868*p^59*q^480+8516*p^57*q^482+380934*p^55 *q^484+9554286*p^53*q^486+166042895*p^51*q^488+1223339262*p^49*q^490+1275323058 *p^47*q^492+170704842*p^45*q^494+9315240*p^43*q^496+400828*p^41*q^498+13328*p^ 39*q^500+214*p^37*q^502+8*p^60*q^478+436*p^58*q^480+59490*p^56*q^482+1593258*p^ 54*q^484+37035630*p^52*q^486+503071774*p^50*q^488+1659654750*p^48*q^490+ 605461721*p^46*q^492+46422698*p^44*q^494+2113890*p^42*q^496+46726*p^40*q^498+ 4326*p^38*q^500+316*p^59*q^478+2976*p^57*q^480+317534*p^55*q^482+7703242*p^53*q ^484+138759480*p^51*q^486+1141473438*p^49*q^488+1348944622*p^47*q^490+201818720 *p^45*q^492+11124334*p^43*q^494+460186*p^41*q^496+8964*p^39*q^498+48*p^37*q^500 +2144*p^58*q^478+44466*p^56*q^480+1275598*p^54*q^482+31419798*p^52*q^484+ 435303452*p^50*q^486+1663703463*p^48*q^488+668151766*p^46*q^490+54969478*p^44*q ^492+2426348*p^42*q^494+82240*p^40*q^496+4212*p^38*q^498+16*p^36*q^500+160*p^59 *q^476+1834*p^57*q^478+274080*p^55*q^480+6406142*p^53*q^482+118978764*p^51*q^ 484+1031230028*p^49*q^486+1432163159*p^47*q^488+233644706*p^45*q^490+13720896*p ^43*q^492+579362*p^41*q^494+5692*p^39*q^496+672*p^37*q^498+2196*p^58*q^476+ 30804*p^56*q^478+1150434*p^54*q^480+26246892*p^52*q^482+380941711*p^50*q^484+ 1588790572*p^48*q^486+757855815*p^46*q^488+65220466*p^44*q^490+3032919*p^42*q^ 492+111230*p^40*q^494+4962*p^38*q^496+40*p^59*q^474+2864*p^57*q^476+204414*p^55 *q^478+4955008*p^53*q^480+97707922*p^51*q^482+941387976*p^49*q^484+1482326598*p ^47*q^486+275187209*p^45*q^488+16606032*p^43*q^490+696154*p^41*q^492+12314*p^39 *q^494+816*p^37*q^496+1372*p^58*q^474+16300*p^56*q^476+952054*p^54*q^478+ 22125998*p^52*q^480+328354410*p^50*q^482+1562114203*p^48*q^484+828488608*p^46*q ^486+77054594*p^44*q^488+3585480*p^42*q^490+130898*p^40*q^492+1580*p^38*q^494+ 40*p^36*q^496+6526*p^57*q^474+176050*p^55*q^476+4174708*p^53*q^478+84391565*p^ 51*q^480+841466204*p^49*q^482+1542347897*p^47*q^484+312467842*p^45*q^486+ 19916678*p^43*q^488+813926*p^41*q^490+21108*p^39*q^492+1622*p^37*q^494+776*p^58 *q^472+9678*p^56*q^474+817098*p^54*q^476+18264002*p^52*q^478+283144812*p^50*q^ 480+1470517522*p^48*q^482+924746044*p^46*q^484+92714476*p^44*q^486+4680692*p^42 *q^488+193980*p^40*q^490+1270*p^38*q^492+104*p^36*q^494+20*p^59*q^470+6540*p^57 *q^472+115172*p^55*q^474+3347640*p^53*q^476+69293682*p^51*q^478+758959851*p^49* q^480+1572030076*p^47*q^482+364752494*p^45*q^484+23382756*p^43*q^486+922680*p^ 41*q^488+25850*p^39*q^490+1148*p^37*q^492+76*p^58*q^470+11928*p^56*q^472+692488 *p^54*q^474+14963884*p^52*q^476+241624560*p^50*q^478+1416268133*p^48*q^480+ 999054916*p^46*q^482+109103894*p^44*q^484+5633642*p^42*q^486+225100*p^40*q^488+ 2468*p^38*q^490+230*p^36*q^492+5408*p^57*q^470+73990*p^55*q^472+2889420*p^53*q^ 474+59698174*p^51*q^476+670124084*p^49*q^478+1606391230*p^47*q^480+411778940*p^ 45*q^482+28055914*p^43*q^484+1139548*p^41*q^486+38560*p^39*q^488+134*p^37*q^490 +8*p^35*q^492+308*p^58*q^468+19498*p^56*q^470+576038*p^54*q^472+12345702*p^52*q ^474+206948089*p^50*q^476+1306641990*p^48*q^478+1094548834*p^46*q^480+128827096 *p^44*q^482+7092355*p^42*q^484+273016*p^40*q^486+5234*p^38*q^488+472*p^36*q^490 +2042*p^57*q^468+42612*p^55*q^470+2374585*p^53*q^472+49082554*p^51*q^474+ 596526724*p^49*q^476+1603997192*p^47*q^478+476952054*p^45*q^480+33621882*p^43*q ^482+1427216*p^41*q^484+54046*p^39*q^486+112*p^37*q^488+8*p^35*q^490+28*p^58*q^ 466+20176*p^56*q^468+416524*p^54*q^470+10137374*p^52*q^472+175483124*p^50*q^474 +1240870141*p^48*q^476+1161620698*p^46*q^478+150845118*p^44*q^480+8108370*p^42* q^482+287918*p^40*q^484+5696*p^38*q^486+56*p^36*q^488+2124*p^57*q^466+54106*p^ 55*q^468+2102830*p^53*q^470+41967192*p^51*q^472+520766486*p^49*q^474+1614538486 *p^47*q^476+532026164*p^45*q^478+40594940*p^43*q^480+1869118*p^41*q^482+75742*p ^39*q^484+704*p^37*q^486+96*p^35*q^488+8*p^58*q^464+14930*p^56*q^466+279504*p^ 54*q^468+8329264*p^52*q^470+149356784*p^50*q^472+1126499716*p^48*q^474+ 1254213074*p^46*q^476+176708646*p^44*q^478+10055148*p^42*q^480+345450*p^40*q^ 482+9224*p^38*q^484+2*p^61*q^460+960*p^57*q^464+54562*p^55*q^466+1739362*p^53*q ^468+34236598*p^51*q^470+459057116*p^49*q^472+1576251324*p^47*q^474+609646963*p ^45*q^476+48020468*p^43*q^478+2304264*p^41*q^480+85918*p^39*q^482+1156*p^37*q^ 484+18*p^35*q^486+10674*p^56*q^464+211468*p^54*q^466+6930602*p^52*q^468+ 126078164*p^50*q^470+1048872355*p^48*q^472+1310672468*p^46*q^474+206401386*p^44 *q^476+11803558*p^42*q^478+411787*p^40*q^480+13974*p^38*q^482+28*p^36*q^484+8*p ^34*q^486+174*p^57*q^462+55848*p^55*q^464+1372844*p^53*q^466+29111175*p^51*q^ 468+396796540*p^49*q^470+1560824728*p^47*q^472+669231804*p^45*q^474+57432391*p^ 43*q^476+2826128*p^41*q^478+94310*p^39*q^480+884*p^37*q^482+26*p^60*q^458+12*p^ 58*q^460+9276*p^56*q^462+190302*p^54*q^464+6004620*p^52*q^466+107553224*p^50*q^ 468+940968234*p^48*q^470+1384118074*p^46*q^472+239968220*p^44*q^474+14394601*p^ 42*q^476+567256*p^40*q^478+24350*p^38*q^480+228*p^36*q^482+2*p^34*q^484+112*p^ 57*q^460+44134*p^55*q^462+987570*p^53*q^464+23306820*p^51*q^466+343641398*p^49* q^468+1497225670*p^47*q^470+759500355*p^45*q^472+67986118*p^43*q^474+3492852*p^ 41*q^476+103836*p^39*q^478+1456*p^37*q^480+2838*p^56*q^460+163832*p^54*q^462+ 5040778*p^52*q^464+90543500*p^50*q^466+866247685*p^48*q^468+1428617382*p^46*q^ 470+277260625*p^44*q^472+16865604*p^42*q^474+669042*p^40*q^476+24114*p^38*q^478 +36*p^36*q^480+134*p^59*q^456+184*p^57*q^458+44638*p^55*q^460+838922*p^53*q^462 +20028381*p^51*q^464+296067654*p^49*q^466+1447178688*p^47*q^468+821519182*p^45* q^470+81251583*p^43*q^472+4166950*p^41*q^474+124598*p^39*q^476+4796*p^37*q^478+ 20*p^35*q^480+2174*p^56*q^458+152510*p^54*q^460+4035032*p^52*q^462+76073209*p^ 50*q^464+763457972*p^48*q^466+1484031991*p^46*q^468+320453018*p^44*q^470+ 20872966*p^42*q^472+944352*p^40*q^474+32330*p^38*q^476+80*p^36*q^478+44*p^59*q^ 454+36*p^57*q^456+25856*p^55*q^458+617964*p^53*q^460+16500450*p^51*q^462+ 255226192*p^49*q^464+1365464124*p^47*q^466+912282678*p^45*q^468+94793552*p^43*q ^470+4933602*p^41*q^472+131820*p^39*q^474+5440*p^37*q^476+348*p^58*q^454+1276*p ^56*q^456+142348*p^54*q^458+3320728*p^52*q^460+63637938*p^50*q^462+693287039*p^ 48*q^464+1496707598*p^46*q^466+369546831*p^44*q^468+24539566*p^42*q^470+1166360 *p^40*q^472+34238*p^38*q^474+492*p^36*q^476+18288*p^55*q^456+544338*p^53*q^458+ 14011718*p^51*q^460+218107632*p^49*q^462+1305613458*p^47*q^464+977413172*p^45*q ^466+112328504*p^43*q^468+5889004*p^41*q^470+192588*p^39*q^472+6716*p^37*q^474+ 442*p^58*q^452+964*p^56*q^454+128730*p^54*q^456+2659384*p^52*q^458+53868811*p^ 50*q^460+603499888*p^48*q^462+1528113626*p^46*q^464+418533536*p^44*q^466+ 29961208*p^42*q^468+1458926*p^40*q^470+30876*p^38*q^472+1100*p^36*q^474+478*p^ 57*q^452+9896*p^55*q^454+437166*p^53*q^456+11393836*p^51*q^458+186020280*p^49*q ^460+1205207146*p^47*q^462+1074591577*p^45*q^464+131700112*p^43*q^466+7156076*p ^41*q^468+271216*p^39*q^470+11438*p^37*q^472+20*p^35*q^474+40*p^58*q^450+160*p^ 56*q^452+94472*p^54*q^454+2117713*p^52*q^456+44682286*p^50*q^458+540769465*p^48 *q^460+1514022954*p^46*q^462+477279719*p^44*q^464+34976350*p^42*q^466+1656459*p ^40*q^468+27914*p^38*q^470+676*p^36*q^472+1694*p^57*q^450+8096*p^55*q^452+ 428160*p^53*q^454+9847724*p^51*q^456+159201086*p^49*q^458+1131241075*p^47*q^460 +1127300660*p^45*q^462+155570376*p^43*q^464+8683196*p^41*q^466+382496*p^39*q^ 468+10128*p^37*q^470+148*p^35*q^472+46*p^58*q^448+398*p^56*q^450+69676*p^54*q^ 452+1682708*p^52*q^454+37439832*p^50*q^456+465826348*p^48*q^458+1512688811*p^46 *q^460+535181712*p^44*q^462+42466632*p^42*q^464+2042444*p^40*q^466+47668*p^38*q ^468+2600*p^36*q^470+696*p^57*q^448+3998*p^55*q^450+358778*p^53*q^452+7846432*p ^51*q^454+135081193*p^49*q^456+1032681374*p^47*q^458+1215404919*p^45*q^460+ 180831542*p^43*q^462+10456830*p^41*q^464+466564*p^39*q^466+5818*p^37*q^468+28*p ^35*q^470+3120*p^56*q^448+44780*p^54*q^450+1385172*p^52*q^452+31266858*p^50*q^ 454+413004471*p^48*q^456+1475008358*p^46*q^458+603942356*p^44*q^460+49311446*p^ 42*q^462+2398664*p^40*q^464+70374*p^38*q^466+3146*p^36*q^468+8*p^34*q^470+540*p ^57*q^446+1716*p^55*q^448+316038*p^53*q^450+6559772*p^51*q^452+114529332*p^49*q ^454+952945057*p^47*q^456+1261187330*p^45*q^458+211078142*p^43*q^460+12637816*p ^41*q^462+559374*p^39*q^464+5820*p^37*q^466+276*p^35*q^468+3792*p^56*q^446+ 36810*p^54*q^448+1227310*p^52*q^450+26521321*p^50*q^452+353583584*p^48*q^454+ 1445925148*p^46*q^456+666615776*p^44*q^458+60026866*p^42*q^460+3005306*p^40*q^ 462+116771*p^38*q^464+2290*p^36*q^466+83*p^57*q^444+3326*p^55*q^446+220176*p^53 *q^448+5101486*p^51*q^450+95613818*p^49*q^452+852379398*p^47*q^454+1333769283*p ^45*q^456+244530778*p^43*q^458+15179135*p^41*q^460+664620*p^39*q^462+8194*p^37* q^464+752*p^35*q^466+3024*p^56*q^444+18094*p^54*q^446+1045336*p^52*q^448+ 22135918*p^50*q^450+311503721*p^48*q^452+1384702822*p^46*q^454+743411844*p^44*q ^456+69070580*p^42*q^458+3525589*p^40*q^460+133444*p^38*q^462+708*p^36*q^464+8* p^34*q^466+9530*p^55*q^444+190950*p^53*q^446+4389240*p^51*q^448+81339322*p^49*q ^450+777603723*p^47*q^452+1353355012*p^45*q^454+282626164*p^43*q^456+18123070*p ^41*q^458+836596*p^39*q^460+20508*p^37*q^462+586*p^35*q^464+1502*p^56*q^442+ 10532*p^54*q^444+884086*p^52*q^446+18246428*p^50*q^448+264219978*p^48*q^450+ 1335121094*p^46*q^452+810806942*p^44*q^454+84203735*p^42*q^456+4441466*p^40*q^ 458+178252*p^38*q^460+614*p^36*q^462+116*p^34*q^464+36*p^57*q^440+10776*p^55*q^ 442+131034*p^53*q^444+3480958*p^51*q^446+68581519*p^49*q^448+686261612*p^47*q^ 450+1409686937*p^45*q^452+321978020*p^43*q^454+21503874*p^41*q^456+966604*p^39* q^458+27774*p^37*q^460+264*p^35*q^462+124*p^56*q^440+15460*p^54*q^442+733234*p^ 52*q^444+15050388*p^50*q^446+229209232*p^48*q^448+1254007900*p^46*q^450+ 892678799*p^44*q^452+97601002*p^42*q^454+5306752*p^40*q^456+211176*p^38*q^458+ 1960*p^36*q^460+72*p^34*q^462+9577*p^55*q^440+81740*p^53*q^442+3018990*p^51*q^ 444+57770494*p^49*q^446+621140013*p^47*q^448+1404780392*p^45*q^450+370247386*p^ 43*q^452+25420236*p^41*q^454+1192353*p^39*q^456+38078*p^37*q^458+16*p^35*q^460+ 8*p^33*q^462+508*p^56*q^438+27094*p^54*q^440+626160*p^52*q^442+12624036*p^50*q^ 444+193946518*p^48*q^446+1183104840*p^46*q^448+953825444*p^44*q^450+116758976*p ^42*q^452+6541664*p^40*q^454+275428*p^38*q^456+4844*p^36*q^458+76*p^34*q^460+ 2666*p^55*q^438+49858*p^53*q^440+2469576*p^51*q^442+48032832*p^49*q^444+ 540167924*p^47*q^446+1436822353*p^45*q^448+418843028*p^43*q^450+30688766*p^41*q ^452+1501424*p^39*q^454+49002*p^37*q^456+72*p^35*q^458+4*p^33*q^460+72*p^56*q^ 436+31912*p^54*q^438+447343*p^52*q^440+10206584*p^50*q^442+167872114*p^48*q^444 +1099326810*p^46*q^446+1033623832*p^44*q^448+133907148*p^42*q^450+7531307*p^40* q^452+290948*p^38*q^454+5548*p^36*q^456+3208*p^55*q^436+66230*p^53*q^438+ 2229632*p^51*q^440+40995732*p^49*q^442+481431911*p^47*q^444+1407161624*p^45*q^ 446+475266944*p^43*q^448+36547190*p^41*q^450+1841334*p^39*q^452+67202*p^37*q^ 454+520*p^35*q^456+8*p^33*q^458+14*p^56*q^434+19895*p^54*q^436+309282*p^52*q^ 438+8415002*p^50*q^440+140072092*p^48*q^442+1020023553*p^46*q^444+1090571468*p^ 44*q^446+159850578*p^42*q^448+9180672*p^40*q^450+412438*p^38*q^452+10532*p^36*q ^454+1456*p^55*q^434+75283*p^53*q^436+1801746*p^51*q^438+34003824*p^49*q^440+ 417014524*p^47*q^442+1406524781*p^45*q^444+531461602*p^43*q^446+43620249*p^41*q ^448+2231676*p^39*q^450+71782*p^37*q^452+616*p^35*q^454+14292*p^54*q^434+234936 *p^52*q^436+7082314*p^50*q^438+120471718*p^48*q^440+927742762*p^46*q^442+ 1160931323*p^44*q^444+182735020*p^42*q^446+10876530*p^40*q^448+474610*p^38*q^ 450+12428*p^36*q^452+20*p^34*q^454+472*p^55*q^432+75490*p^53*q^434+1448614*p^51 *q^436+28356654*p^49*q^438+368428863*p^47*q^440+1356792822*p^45*q^442+595602882 *p^43*q^444+51319842*p^41*q^446+2699262*p^39*q^448+97612*p^37*q^450+1586*p^35*q ^452+40*p^56*q^430+11696*p^54*q^432+223380*p^52*q^434+6112299*p^50*q^436+ 101592384*p^48*q^438+850712594*p^46*q^440+1197641156*p^44*q^442+214948708*p^42* q^444+13081998*p^40*q^446+623116*p^38*q^448+16182*p^36*q^450+68*p^34*q^452+200* p^55*q^430+55736*p^53*q^432+1045982*p^51*q^434+23158130*p^49*q^436+312968204*p^ 47*q^438+1334046916*p^45*q^440+657538328*p^43*q^442+61993716*p^41*q^444+3285638 *p^39*q^446+122980*p^37*q^448+2108*p^35*q^450+4922*p^54*q^430+209354*p^52*q^432 +5114148*p^50*q^434+86875950*p^48*q^436+766146258*p^46*q^438+1261195642*p^44*q^ 440+244164022*p^42*q^442+15271450*p^40*q^444+721830*p^38*q^446+19512*p^36*q^448 +104*p^34*q^450+2*p^57*q^426+456*p^55*q^428+52702*p^53*q^430+893673*p^51*q^432+ 19654588*p^49*q^434+274842015*p^47*q^436+1257417176*p^45*q^438+726350007*p^43*q ^440+72186826*p^41*q^442+3910170*p^39*q^444+153878*p^37*q^446+2658*p^35*q^448+4 *p^33*q^450+3486*p^54*q^428+186766*p^52*q^430+4165539*p^50*q^432+72197328*p^48* q^434+690840874*p^46*q^436+1277135026*p^44*q^438+286257509*p^42*q^440+18839038* p^40*q^442+968236*p^38*q^444+29080*p^36*q^446+320*p^34*q^448+8*p^57*q^424+76*p^ 55*q^426+32094*p^53*q^428+693742*p^51*q^430+16326948*p^49*q^432+232823582*p^47* q^434+1211440808*p^45*q^436+788596872*p^43*q^438+85753477*p^41*q^440+4482672*p^ 39*q^442+184346*p^37*q^444+3248*p^35*q^446+18*p^56*q^424+2512*p^54*q^426+169112 *p^52*q^428+3357766*p^50*q^430+61468518*p^48*q^432+614112116*p^46*q^434+ 1317867053*p^44*q^436+321412534*p^42*q^438+22408454*p^40*q^440+1182312*p^38*q^ 442+32910*p^36*q^444+262*p^34*q^446+26296*p^53*q^426+622569*p^51*q^428+13928664 *p^49*q^430+203275096*p^47*q^432+1130346920*p^45*q^434+858503704*p^43*q^436+ 100032880*p^41*q^438+5366070*p^39*q^440+229204*p^37*q^442+5636*p^35*q^444+24*p^ 33*q^446+96*p^56*q^422+1720*p^54*q^424+145160*p^52*q^426+2743902*p^50*q^428+ 50970034*p^48*q^430+545832049*p^46*q^432+1311202242*p^44*q^434+371510570*p^42*q ^436+26910698*p^40*q^438+1414318*p^38*q^440+49082*p^36*q^442+488*p^34*q^444+58* p^55*q^422+14008*p^53*q^424+504276*p^51*q^426+11344052*p^49*q^428+170946386*p^ 47*q^430+1069436052*p^45*q^432+920709742*p^43*q^434+118569776*p^41*q^436+ 6452796*p^39*q^438+332990*p^37*q^440+5944*p^35*q^442+12*p^33*q^444+8*p^56*q^420 +320*p^54*q^422+116502*p^52*q^424+2230430*p^50*q^426+43123642*p^48*q^428+ 479198926*p^46*q^430+1326651847*p^44*q^432+413846270*p^42*q^434+31681978*p^40*q ^436+1571712*p^38*q^438+41831*p^36*q^440+724*p^34*q^442+468*p^55*q^420+12988*p^ 53*q^422+481014*p^51*q^424+9696294*p^49*q^426+148791999*p^47*q^428+979374248*p^ 45*q^430+987150186*p^43*q^432+136755238*p^41*q^434+8017108*p^39*q^436+429796*p^ 37*q^438+11634*p^35*q^440+64*p^33*q^442+8*p^56*q^418+224*p^54*q^420+84726*p^52* q^422+1798314*p^50*q^424+35843800*p^48*q^426+421652143*p^46*q^428+1293311090*p^ 44*q^430+471339600*p^42*q^432+38151378*p^40*q^434+1849914*p^38*q^436+72386*p^36 *q^438+1082*p^34*q^440+276*p^55*q^418+5990*p^53*q^420+406530*p^51*q^422+7854877 *p^49*q^424+124026600*p^47*q^426+913798569*p^45*q^428+1038008122*p^43*q^430+ 161921919*p^41*q^432+9400928*p^39*q^434+506984*p^37*q^436+8254*p^35*q^438+36*p^ 33*q^440+1138*p^54*q^418+61218*p^52*q^420+1480456*p^50*q^422+30387970*p^48*q^ 424+367021708*p^46*q^426+1288333876*p^44*q^428+519116100*p^42*q^430+44769614*p^ 40*q^432+2192564*p^38*q^434+107974*p^36*q^436+1800*p^34*q^438+4*p^32*q^440+112* p^55*q^416+2698*p^53*q^418+357902*p^51*q^420+6564534*p^49*q^422+107085335*p^47* q^424+824139370*p^45*q^426+1097739192*p^43*q^428+184903666*p^41*q^430+11455899* p^39*q^432+563340*p^37*q^434+10212*p^35*q^436+184*p^33*q^438+2124*p^54*q^416+ 47648*p^52*q^418+1343544*p^50*q^420+25342034*p^48*q^422+321265050*p^46*q^424+ 1230902998*p^44*q^426+583810021*p^42*q^428+53468902*p^40*q^430+2768709*p^38*q^ 432+151648*p^36*q^434+2218*p^34*q^436+44*p^55*q^414+2138*p^53*q^416+257812*p^51 *q^418+5134946*p^49*q^420+88521716*p^47*q^422+752677030*p^45*q^424+1132920038*p ^43*q^426+217026411*p^41*q^428+13759156*p^39*q^430+654224*p^37*q^432+19696*p^35 *q^434+142*p^33*q^436+968*p^54*q^414+25224*p^52*q^416+1130330*p^50*q^418+ 21473145*p^48*q^420+277146900*p^46*q^422+1208168550*p^44*q^424+634592420*p^42*q ^426+62529296*p^40*q^428+3152068*p^38*q^430+168718*p^36*q^432+668*p^34*q^434+16 *p^32*q^436+7258*p^53*q^414+228490*p^51*q^416+4485394*p^49*q^418+76403252*p^47* q^420+672804056*p^45*q^422+1170796890*p^43*q^424+245380378*p^41*q^426+16400000* p^39*q^428+786618*p^37*q^430+34300*p^35*q^432+464*p^33*q^434+736*p^54*q^412+ 13436*p^52*q^414+960802*p^50*q^416+17559178*p^48*q^418+239761149*p^46*q^420+ 1133943516*p^44*q^422+706951923*p^42*q^424+74586594*p^40*q^426+4067606*p^38*q^ 428+219946*p^36*q^430+2400*p^34*q^432+6*p^32*q^434+16*p^55*q^410+6080*p^53*q^ 412+157706*p^51*q^414+3610528*p^49*q^416+63536804*p^47*q^418+607062078*p^45*q^ 420+1192033670*p^43*q^422+283508053*p^41*q^424+19428478*p^39*q^426+870953*p^37* q^428+45140*p^35*q^430+72*p^54*q^410+16390*p^52*q^412+816650*p^50*q^414+ 14664662*p^48*q^416+204847004*p^46*q^418+1087012262*p^44*q^420+757881704*p^42*q ^422+87723314*p^40*q^424+4767672*p^38*q^426+243787*p^36*q^428+4708*p^34*q^430+ 42*p^32*q^432+5002*p^53*q^410+99838*p^51*q^412+3104228*p^49*q^414+54448672*p^47 *q^416+536783254*p^45*q^418+1213047420*p^43*q^420+318710068*p^41*q^422+23185271 *p^39*q^424+1081590*p^37*q^426+58905*p^35*q^428+152*p^33*q^430+268*p^54*q^408+ 24664*p^52*q^410+690827*p^50*q^412+12271990*p^48*q^414+176657261*p^46*q^416+ 1002908600*p^44*q^418+823413032*p^42*q^420+102702784*p^40*q^422+5898912*p^38*q^ 424+274920*p^36*q^426+10182*p^34*q^428+1966*p^53*q^408+60408*p^51*q^410+2603963 *p^49*q^412+44750000*p^47*q^414+477363984*p^45*q^416+1207374932*p^43*q^418+ 367168696*p^41*q^420+27616576*p^39*q^422+1356134*p^37*q^424+79934*p^35*q^426+ 276*p^33*q^428+40*p^54*q^406+20536*p^52*q^408+510942*p^50*q^410+10031552*p^48*q ^412+150207910*p^46*q^414+952942259*p^44*q^416+872090560*p^42*q^418+119393308*p ^40*q^420+6837716*p^38*q^422+291310*p^36*q^424+11112*p^34*q^426+1898*p^53*q^406 +77066*p^51*q^408+2313486*p^49*q^410+38664052*p^47*q^412+417704738*p^45*q^414+ 1207496662*p^43*q^416+405901540*p^41*q^418+32946430*p^39*q^420+1629946*p^37*q^ 422+92679*p^35*q^424+1400*p^33*q^426+26*p^54*q^404+15878*p^52*q^406+342910*p^50 *q^408+8334734*p^48*q^410+127928618*p^46*q^412+861476666*p^44*q^414+938335568*p ^42*q^416+139161910*p^40*q^418+8514662*p^38*q^420+369806*p^36*q^422+20065*p^34* q^424+970*p^53*q^404+67480*p^51*q^406+1930279*p^49*q^408+31673202*p^47*q^410+ 368012332*p^45*q^412+1179136410*p^43*q^414+461551718*p^41*q^416+39023148*p^39*q ^418+1970808*p^37*q^420+104524*p^35*q^422+2136*p^33*q^424+10022*p^52*q^404+ 268068*p^50*q^406+7053145*p^48*q^408+108594990*p^46*q^410+802623137*p^44*q^412+ 973422184*p^42*q^414+161817302*p^40*q^416+9800918*p^38*q^418+424148*p^36*q^420+ 23780*p^34*q^422+64*p^32*q^424+428*p^53*q^402+67980*p^51*q^404+1536102*p^49*q^ 406+27005999*p^47*q^408+319133218*p^45*q^410+1158461750*p^43*q^412+504747020*p^ 41*q^414+46306858*p^39*q^416+2457874*p^37*q^418+107876*p^35*q^420+2908*p^33*q^ 422+4*p^56*q^398+24*p^54*q^400+9164*p^52*q^402+240980*p^50*q^404+6085050*p^48*q ^406+92698181*p^46*q^408+718880448*p^44*q^410+1023825163*p^42*q^412+186417470*p ^40*q^414+11862064*p^38*q^416+526492*p^36*q^418+39696*p^34*q^420+396*p^32*q^422 +164*p^53*q^400+47172*p^51*q^402+1109492*p^49*q^404+21778712*p^47*q^406+ 277968459*p^45*q^408+1110961918*p^43*q^410+567198828*p^41*q^412+54659192*p^39*q ^414+3058204*p^37*q^416+124796*p^35*q^418+3838*p^33*q^420+4060*p^52*q^400+ 215560*p^50*q^402+5188904*p^48*q^404+78600690*p^46*q^406+660042440*p^44*q^408+ 1051323826*p^42*q^410+213946926*p^40*q^412+13848114*p^38*q^414+611097*p^36*q^ 416+37266*p^34*q^418+184*p^32*q^420+44*p^55*q^396+296*p^53*q^398+45648*p^51*q^ 400+937588*p^49*q^402+18746492*p^47*q^404+238397524*p^45*q^406+1072312164*p^43* q^408+611149434*p^41*q^410+65034207*p^39*q^412+3562512*p^37*q^414+140122*p^35*q ^416+9992*p^33*q^418+36*p^31*q^420+2860*p^52*q^398+185182*p^50*q^400+4210506*p^ 48*q^402+66140809*p^46*q^404+584225240*p^44*q^406+1084036064*p^42*q^408+ 244951498*p^40*q^410+17015168*p^38*q^412+854474*p^36*q^414+46034*p^34*q^416+332 *p^32*q^418+8*p^55*q^394+48*p^53*q^396+29620*p^51*q^398+734344*p^49*q^400+ 15565634*p^47*q^402+206691479*p^45*q^404+1004943966*p^43*q^406+675740481*p^41*q ^408+75460644*p^39*q^410+4103816*p^37*q^412+139364*p^35*q^414+12392*p^33*q^416+ 184*p^54*q^394+1790*p^52*q^396+157334*p^50*q^398+3400217*p^48*q^400+55478934*p^ 46*q^402+528649027*p^44*q^404+1093544930*p^42*q^406+280373663*p^40*q^408+ 20076398*p^38*q^410+1098290*p^36*q^412+49388*p^34*q^414+1320*p^32*q^416+22034*p ^51*q^396+655472*p^49*q^398+13448876*p^47*q^400+177680272*p^45*q^402+959158841* p^43*q^404+716490716*p^41*q^406+88465046*p^39*q^408+4875146*p^37*q^410+179040*p ^35*q^412+14114*p^33*q^414+4*p^31*q^416+160*p^54*q^392+1272*p^52*q^394+144736*p ^50*q^396+2741534*p^48*q^398+47101520*p^46*q^400+460025614*p^44*q^402+ 1106614127*p^42*q^404+316209686*p^40*q^406+24590548*p^38*q^408+1294066*p^36*q^ 410+42274*p^34*q^412+3146*p^32*q^414+364*p^53*q^392+12282*p^51*q^394+502128*p^ 49*q^396+10915504*p^47*q^398+151390628*p^45*q^400+885133714*p^43*q^402+ 783589131*p^41*q^404+103262120*p^39*q^406+5849710*p^37*q^408+272364*p^35*q^410+ 22578*p^33*q^412+68*p^31*q^414+16*p^54*q^390+162*p^52*q^392+107198*p^50*q^394+ 2283473*p^48*q^396+39340342*p^46*q^398+414318410*p^44*q^400+1092503828*p^42*q^ 402+356691337*p^40*q^404+28313642*p^38*q^406+1447950*p^36*q^408+30724*p^34*q^ 410+2374*p^32*q^412+940*p^53*q^390+10624*p^51*q^392+492118*p^49*q^394+9385279*p ^47*q^396+129837292*p^45*q^398+826815421*p^43*q^400+818204020*p^41*q^402+ 121134420*p^39*q^404+7183148*p^37*q^406+389514*p^35*q^408+19126*p^33*q^410+514* p^31*q^412+16*p^54*q^388+452*p^52*q^390+80198*p^50*q^392+1800636*p^48*q^394+ 33091695*p^46*q^396+356376638*p^44*q^398+1087334222*p^42*q^400+397299134*p^40*q ^402+34081214*p^38*q^404+1743384*p^36*q^406+46527*p^34*q^408+7614*p^32*q^410+ 396*p^53*q^388+4154*p^51*q^390+404234*p^49*q^392+7587304*p^47*q^394+110845469*p ^45*q^396+754416904*p^43*q^398+876558784*p^41*q^400+139397172*p^39*q^402+ 8689344*p^37*q^404+440762*p^35*q^406+12006*p^33*q^408+136*p^31*q^410+2356*p^52* q^388+56656*p^50*q^390+1506130*p^48*q^392+27897554*p^46*q^394+315481418*p^44*q^ 396+1055109918*p^42*q^398+444359634*p^40*q^400+39777724*p^38*q^402+1962978*p^36 *q^404+83120*p^34*q^406+8416*p^32*q^408+36*p^30*q^410+272*p^53*q^386+2148*p^51* q^388+347352*p^49*q^390+6365904*p^47*q^392+93922850*p^45*q^394+695612888*p^43*q ^396+904545652*p^41*q^398+162106067*p^39*q^400+10293340*p^37*q^402+543816*p^35* q^404+6424*p^33*q^406+1362*p^31*q^408+2860*p^52*q^386+40502*p^50*q^388+1343278* p^48*q^390+23684592*p^46*q^392+271684436*p^44*q^394+1027432900*p^42*q^396+ 487676376*p^40*q^398+47613522*p^38*q^400+2484696*p^36*q^402+121514*p^34*q^404+ 8018*p^32*q^406+44*p^53*q^384+3288*p^51*q^386+256780*p^49*q^388+5006792*p^47*q^ 390+78823232*p^45*q^392+620271332*p^43*q^394+949417248*p^41*q^396+185733808*p^ 39*q^398+12554642*p^37*q^400+616180*p^35*q^402+10341*p^33*q^404+2554*p^31*q^406 +2076*p^52*q^384+19766*p^50*q^386+1118952*p^48*q^388+19720334*p^46*q^390+ 239870429*p^44*q^392+983053766*p^42*q^394+539649709*p^40*q^396+54935384*p^38*q^ 398+2867430*p^36*q^400+140338*p^34*q^402+3596*p^32*q^404+92*p^30*q^406+8836*p^ 51*q^384+219244*p^49*q^386+4356376*p^47*q^388+67573438*p^45*q^390+565091380*p^ 43*q^392+958187530*p^41*q^394+212305688*p^39*q^396+14753050*p^37*q^398+728888*p ^35*q^400+23928*p^33*q^402+3308*p^31*q^404+988*p^52*q^382+12418*p^50*q^384+ 955124*p^48*q^386+16475748*p^46*q^388+202791220*p^44*q^390+944194733*p^42*q^392 +584277462*p^40*q^394+66389628*p^38*q^396+3667894*p^36*q^398+198060*p^34*q^400+ 870*p^32*q^402+464*p^30*q^404+24*p^53*q^380+9588*p^51*q^382+138452*p^49*q^384+ 3493006*p^47*q^386+56693922*p^45*q^388+499936986*p^43*q^390+990930135*p^41*q^ 392+240726100*p^39*q^394+17474308*p^37*q^396+793806*p^35*q^398+29988*p^33*q^400 +3406*p^31*q^402+104*p^52*q^380+15930*p^50*q^382+816316*p^48*q^384+13600820*p^ 46*q^386+177275068*p^44*q^388+881672744*p^42*q^390+639693622*p^40*q^392+ 76079360*p^38*q^394+4376448*p^36*q^396+229742*p^34*q^398+2452*p^32*q^400+644*p^ 30*q^402+7524*p^51*q^380+91372*p^49*q^382+3037040*p^47*q^384+48231274*p^45*q^ 386+450530410*p^43*q^388+984228542*p^41*q^390+273221918*p^39*q^392+20669738*p^ 37*q^394+958240*p^35*q^396+43876*p^33*q^398+506*p^31*q^400+40*p^29*q^402+372*p^ 52*q^378+28298*p^50*q^380+662662*p^48*q^382+11435012*p^46*q^384+149924010*p^44* q^386+829753904*p^42*q^388+677533626*p^40*q^390+90876701*p^38*q^392+5374048*p^ 36*q^394+276176*p^34*q^396+5564*p^32*q^398+1761*p^30*q^400+2544*p^51*q^378+ 52838*p^49*q^380+2525376*p^47*q^382+40400902*p^45*q^384+393006848*p^43*q^386+ 997899722*p^41*q^388+307817328*p^39*q^390+24570150*p^37*q^392+1194510*p^35*q^ 394+61262*p^33*q^396+84*p^31*q^398+40*p^29*q^400+52*p^52*q^376+29560*p^50*q^378 +478052*p^48*q^380+9399424*p^46*q^382+129856283*p^44*q^384+768297456*p^42*q^386 +728303188*p^40*q^388+103015146*p^38*q^390+6347368*p^36*q^392+271188*p^34*q^394 +5980*p^32*q^396+612*p^30*q^398+2636*p^51*q^376+68948*p^49*q^378+2265270*p^47*q ^380+34166908*p^45*q^382+350607750*p^43*q^384+973522444*p^41*q^386+345730567*p^ 39*q^388+29274678*p^37*q^390+1454868*p^35*q^392+89086*p^33*q^394+612*p^31*q^396 +448*p^29*q^398+10*p^52*q^374+19788*p^50*q^376+324604*p^48*q^378+7811488*p^46*q ^380+109199188*p^44*q^382+710753384*p^42*q^384+763479624*p^40*q^386+121677022*p ^38*q^388+7528686*p^36*q^390+337802*p^34*q^392+11372*p^32*q^394+2*p^55*q^370+ 1260*p^51*q^374+78108*p^49*q^376+1836992*p^47*q^378+28619814*p^45*q^380+ 303168804*p^43*q^382+967659922*p^41*q^384+383866066*p^39*q^386+34746077*p^37*q^ 388+1868320*p^35*q^390+98686*p^33*q^392+772*p^31*q^394+405*p^29*q^396+13676*p^ 50*q^374+238118*p^48*q^376+6612620*p^46*q^378+93886655*p^44*q^380+645208238*p^ 42*q^382+806975612*p^40*q^384+137852884*p^38*q^386+8889958*p^36*q^388+344700*p^ 34*q^390+18082*p^32*q^392+20*p^30*q^394+44*p^28*q^396+296*p^51*q^372+77978*p^49 *q^374+1466992*p^47*q^376+24077120*p^45*q^378+268015730*p^43*q^380+928279996*p^ 41*q^382+425943980*p^39*q^384+40782232*p^37*q^386+2263804*p^35*q^388+115128*p^ 33*q^390+1134*p^31*q^392+26*p^54*q^368+28*p^52*q^370+11268*p^50*q^372+227020*p^ 48*q^374+5751980*p^46*q^376+79358934*p^44*q^378+589893594*p^42*q^380+826640486* p^40*q^382+160962485*p^38*q^384+10543668*p^36*q^386+466044*p^34*q^388+29930*p^ 32*q^390+100*p^30*q^392+146*p^28*q^394+128*p^51*q^370+58098*p^49*q^372+1037792* p^47*q^374+19692148*p^45*q^376+227935704*p^43*q^378+906574228*p^41*q^380+ 467142322*p^39*q^382+48824382*p^37*q^384+2752410*p^35*q^386+117086*p^33*q^388+ 2000*p^31*q^390+4124*p^50*q^370+214352*p^48*q^372+4850308*p^46*q^374+68219441*p ^44*q^376+531884124*p^42*q^378+863112748*p^40*q^380+181130270*p^38*q^382+ 12319116*p^36*q^384+567512*p^34*q^386+34574*p^32*q^388+42*p^30*q^390+136*p^53*q ^366+352*p^51*q^368+54342*p^49*q^370+883049*p^47*q^372+16816314*p^45*q^374+ 200714087*p^43*q^376+848974978*p^41*q^378+510839255*p^39*q^380+56446400*p^37*q^ 382+3280778*p^35*q^384+110392*p^33*q^386+5904*p^31*q^388+4*p^29*q^390+27*p^27*q ^392+2592*p^50*q^368+196364*p^48*q^370+3901283*p^46*q^372+56572058*p^44*q^374+ 476993459*p^42*q^376+871398208*p^40*q^378+209804209*p^38*q^380+15234132*p^36*q^ 382+784870*p^34*q^384+51412*p^32*q^386+104*p^30*q^388+52*p^53*q^364+52*p^51*q^ 366+32406*p^49*q^368+672998*p^47*q^370+14199980*p^45*q^372+170619048*p^43*q^374 +817773111*p^41*q^376+548433062*p^39*q^378+66477318*p^37*q^380+3661018*p^35*q^ 382+119110*p^33*q^384+6734*p^31*q^386+366*p^52*q^364+2018*p^50*q^366+175972*p^ 48*q^368+3184178*p^46*q^370+48299023*p^44*q^372+423531324*p^42*q^374+888474960* p^40*q^376+235212768*p^38*q^378+18012352*p^36*q^380+989964*p^34*q^382+45868*p^ 32*q^384+572*p^30*q^386+2*p^26*q^390+22468*p^49*q^366+614434*p^47*q^368+ 12023114*p^45*q^370+148702773*p^43*q^372+758510164*p^41*q^374+595131689*p^39*q^ 376+76236128*p^37*q^378+4386864*p^35*q^380+163412*p^33*q^382+13666*p^31*q^384+4 *p^29*q^386+538*p^52*q^362+1380*p^50*q^364+153784*p^48*q^366+2572736*p^46*q^368 +40507822*p^44*q^370+376664318*p^42*q^372+878491464*p^40*q^374+266981661*p^38*q ^376+21700890*p^36*q^378+1191018*p^34*q^380+36286*p^32*q^382+1050*p^30*q^384+ 536*p^51*q^362+12354*p^49*q^364+502728*p^47*q^366+9883713*p^45*q^368+125167960* p^43*q^370+712534497*p^41*q^372+633517024*p^39*q^374+90550865*p^37*q^376+ 5209190*p^35*q^378+241582*p^33*q^380+20592*p^31*q^382+16*p^29*q^384+48*p^52*q^ 360+212*p^50*q^362+112044*p^48*q^364+2056802*p^46*q^366+34442104*p^44*q^368+ 330890630*p^42*q^370+884166176*p^40*q^372+294763566*p^38*q^374+25220958*p^36*q^ 376+1339426*p^34*q^378+25170*p^32*q^380+1510*p^30*q^382+2162*p^51*q^360+10928*p ^49*q^362+491146*p^47*q^364+8516966*p^45*q^366+109016443*p^43*q^368+651004448*p ^41*q^370+669735304*p^39*q^372+103585792*p^37*q^374+6435416*p^35*q^376+329656*p ^33*q^378+19824*p^31*q^380+112*p^29*q^382+52*p^52*q^358+504*p^50*q^360+80030*p^ 48*q^362+1672694*p^46*q^364+28514208*p^44*q^366+290936094*p^42*q^368+855209540* p^40*q^370+333709732*p^38*q^372+30145238*p^36*q^374+1594590*p^34*q^376+43248*p^ 32*q^378+5132*p^30*q^380+916*p^51*q^358+4828*p^49*q^360+403350*p^47*q^362+ 6868352*p^45*q^364+91531584*p^43*q^366+605150827*p^41*q^368+701165306*p^39*q^ 370+120392648*p^37*q^372+7592514*p^35*q^374+415450*p^33*q^376+10742*p^31*q^378+ 32*p^29*q^380+4274*p^50*q^358+54746*p^48*q^360+1398142*p^46*q^362+24334991*p^44 *q^364+252789176*p^42*q^366+846877077*p^40*q^368+363561130*p^38*q^370+35308000* p^36*q^372+1779876*p^34*q^374+63064*p^32*q^376+7436*p^30*q^378+4*p^28*q^380+620 *p^51*q^356+2162*p^49*q^358+347602*p^47*q^360+5726052*p^45*q^362+79248035*p^43* q^364+544111644*p^41*q^366+734393939*p^39*q^368+136495408*p^37*q^370+9273146*p^ 35*q^372+503708*p^33*q^374+5798*p^31*q^376+596*p^29*q^378+5240*p^50*q^356+42006 *p^48*q^358+1256476*p^46*q^360+20436418*p^44*q^362+220619373*p^42*q^364+ 803060758*p^40*q^366+404784898*p^38*q^368+41952162*p^36*q^370+2173238*p^34*q^ 372+101120*p^32*q^374+8252*p^30*q^376+114*p^51*q^354+4896*p^49*q^356+244234*p^ 47*q^358+4523672*p^45*q^360+65497986*p^43*q^362+496079713*p^41*q^364+752505448* p^39*q^366+158624565*p^37*q^368+10991954*p^35*q^370+590532*p^33*q^372+8762*p^31 *q^374+1336*p^29*q^376+3692*p^50*q^354+21238*p^48*q^356+1070422*p^46*q^358+ 17401350*p^44*q^360+191464620*p^42*q^362+781148756*p^40*q^364+436878720*p^38*q^ 366+48538326*p^36*q^368+2521352*p^34*q^370+125252*p^32*q^372+2704*p^30*q^374+16 *p^28*q^376+13606*p^49*q^354+205336*p^47*q^356+3868314*p^45*q^358+56614897*p^43 *q^360+441533362*p^41*q^362+771436890*p^39*q^364+177373912*p^37*q^366+13304777* p^35*q^368+663338*p^33*q^370+15656*p^31*q^372+3068*p^29*q^374+2002*p^50*q^352+ 12506*p^48*q^354+908348*p^46*q^356+14317910*p^44*q^358+165794905*p^42*q^360+ 730122714*p^40*q^362+479727872*p^38*q^364+57258842*p^36*q^366+3188776*p^34*q^ 368+185804*p^32*q^370+1036*p^30*q^372+124*p^28*q^374+46*p^51*q^350+13964*p^49*q ^352+142790*p^47*q^354+3150848*p^45*q^356+47144202*p^43*q^358+396745129*p^41*q^ 360+777856954*p^39*q^362+203025099*p^37*q^364+15711452*p^35*q^366+726752*p^33*q ^368+23028*p^31*q^370+2528*p^29*q^372+160*p^50*q^350+21350*p^48*q^352+732966*p^ 46*q^354+11919283*p^44*q^356+141838792*p^42*q^358+698396457*p^40*q^360+ 512015870*p^38*q^362+66716570*p^36*q^364+3785468*p^34*q^366+215806*p^32*q^368+ 1284*p^30*q^370+424*p^28*q^372+12674*p^49*q^350+85702*p^47*q^352+2769614*p^45*q ^354+40674076*p^43*q^356+350446698*p^41*q^358+782552630*p^39*q^360+225360360*p^ 37*q^362+18473782*p^35*q^364+828248*p^33*q^366+38750*p^31*q^368+332*p^29*q^370+ 4*p^27*q^372+652*p^50*q^348+34304*p^48*q^350+628806*p^46*q^352+9870796*p^44*q^ 354+121927357*p^42*q^356+638908916*p^40*q^358+551982079*p^38*q^360+77458796*p^ 36*q^362+4837170*p^34*q^364+264736*p^32*q^366+3436*p^30*q^368+1120*p^28*q^370+ 3792*p^49*q^348+55250*p^47*q^350+2266929*p^45*q^352+33713546*p^43*q^354+ 311542910*p^41*q^356+774431104*p^39*q^358+256389574*p^37*q^360+21940766*p^35*q^ 362+1000128*p^33*q^364+54382*p^31*q^366+40*p^29*q^368+12*p^27*q^370+80*p^50*q^ 346+41828*p^48*q^348+445418*p^46*q^350+8214826*p^44*q^352+103921846*p^42*q^354+ 602302253*p^40*q^356+578293986*p^38*q^358+89087874*p^36*q^360+5526292*p^34*q^ 362+263286*p^32*q^364+4656*p^30*q^366+336*p^28*q^368+4080*p^49*q^346+73662*p^47 *q^348+2019694*p^45*q^350+29053728*p^43*q^352+272641266*p^41*q^354+768558456*p^ 39*q^356+281436312*p^37*q^358+26098302*p^35*q^360+1262994*p^33*q^362+80024*p^31 *q^364+344*p^29*q^366+208*p^27*q^368+10*p^50*q^344+27446*p^48*q^346+296355*p^46 *q^348+6742260*p^44*q^350+88577849*p^42*q^352+542265684*p^40*q^354+613806299*p^ 38*q^356+102706290*p^36*q^358+6898896*p^34*q^360+280570*p^32*q^362+9324*p^30*q^ 364+1804*p^49*q^344+89346*p^47*q^346+1669466*p^45*q^348+23879306*p^43*q^350+ 240158226*p^41*q^352+744561640*p^39*q^354+316527365*p^37*q^356+30623552*p^35*q^ 358+1551560*p^33*q^360+103868*p^31*q^362+418*p^29*q^364+180*p^27*q^366+18354*p^ 48*q^344+231802*p^46*q^346+5778266*p^44*q^348+75410696*p^42*q^350+502906623*p^ 40*q^352+631751808*p^38*q^354+117677402*p^36*q^356+7907858*p^34*q^358+308074*p^ 32*q^360+13632*p^30*q^362+8*p^28*q^364+12*p^26*q^366+416*p^49*q^342+95974*p^47* q^344+1290344*p^45*q^346+20207000*p^43*q^348+207509048*p^41*q^350+726010530*p^ 39*q^352+343812698*p^37*q^354+36027436*p^35*q^356+1975690*p^33*q^358+102432*p^ 31*q^360+956*p^29*q^362+4*p^52*q^338+36*p^50*q^340+15090*p^48*q^342+219086*p^46 *q^344+4985766*p^44*q^346+64908874*p^42*q^348+449265328*p^40*q^350+658053015*p^ 38*q^352+133437086*p^36*q^354+9648462*p^34*q^356+367088*p^32*q^358+29744*p^30*q ^360+52*p^28*q^362+44*p^26*q^364+238*p^49*q^340+70472*p^47*q^342+938962*p^45*q^ 344+16457550*p^43*q^346+179432184*p^41*q^348+688423876*p^39*q^350+381347059*p^ 37*q^352+42479166*p^35*q^354+2427060*p^33*q^356+107548*p^31*q^358+1122*p^29*q^ 360+5092*p^48*q^340+222424*p^46*q^342+4200412*p^44*q^344+54706416*p^42*q^346+ 412313051*p^40*q^348+671246780*p^38*q^350+152137186*p^36*q^352+11104496*p^34*q^ 354+460046*p^32*q^356+33702*p^30*q^358+48*p^28*q^360+46*p^51*q^336+400*p^49*q^ 338+67110*p^47*q^340+785996*p^45*q^342+14225302*p^43*q^344+155609834*p^41*q^346 +657793389*p^39*q^348+405980062*p^37*q^350+49457007*p^35*q^352+2856454*p^33*q^ 354+91816*p^31*q^356+4878*p^29*q^358+4*p^27*q^360+4*p^25*q^362+3780*p^48*q^338+ 208632*p^46*q^340+3379218*p^44*q^342+46062123*p^42*q^344+360819840*p^40*q^346+ 684773760*p^38*q^348+172959950*p^36*q^350+13737123*p^34*q^352+663386*p^32*q^354 +45888*p^30*q^356+48*p^28*q^358+16*p^51*q^334+72*p^49*q^336+37118*p^47*q^338+ 620410*p^45*q^340+11747304*p^43*q^342+134708161*p^41*q^344+616308876*p^39*q^346 +443720447*p^37*q^348+56709806*p^35*q^350+3378819*p^33*q^352+90912*p^31*q^354+ 7014*p^29*q^356+202*p^50*q^334+2273*p^48*q^336+201546*p^46*q^338+2734056*p^44*q ^340+38951448*p^42*q^342+326184455*p^40*q^344+680725376*p^38*q^346+194660690*p^ 36*q^348+16127712*p^34*q^350+813686*p^32*q^352+39248*p^30*q^354+350*p^28*q^356+ 27516*p^47*q^336+559988*p^45*q^338+10196849*p^43*q^340+115088506*p^41*q^342+ 583026491*p^39*q^344+468600260*p^37*q^346+66026372*p^35*q^348+3926604*p^33*q^ 350+133320*p^31*q^352+12668*p^29*q^354+248*p^50*q^332+1584*p^48*q^334+164542*p^ 46*q^336+2208148*p^44*q^338+32808407*p^42*q^340+284162982*p^40*q^342+683408048* p^38*q^344+216771838*p^36*q^346+19411195*p^34*q^348+1033792*p^32*q^350+28098*p^ 30*q^352+990*p^28*q^354+422*p^49*q^332+14318*p^47*q^334+501032*p^45*q^336+ 8208786*p^43*q^338+98739156*p^41*q^340+532371946*p^39*q^342+505471438*p^37*q^ 344+76153548*p^35*q^346+4801188*p^33*q^348+184614*p^31*q^350+17834*p^29*q^352+8 *p^27*q^354+20*p^50*q^330+304*p^48*q^332+122764*p^46*q^334+1786256*p^44*q^336+ 27699800*p^42*q^338+253748015*p^40*q^340+669528396*p^38*q^342+242417517*p^36*q^ 344+22319514*p^34*q^346+1151274*p^32*q^348+22462*p^30*q^350+1552*p^28*q^352+ 1336*p^49*q^330+11706*p^47*q^332+487364*p^45*q^334+7092163*p^43*q^336+84402342* p^41*q^338+495490429*p^39*q^340+522013758*p^37*q^342+87682182*p^35*q^344+ 5808976*p^33*q^346+276912*p^31*q^348+13158*p^29*q^350+92*p^27*q^352+16*p^50*q^ 328+592*p^48*q^330+87800*p^46*q^332+1436630*p^44*q^334+23233216*p^42*q^336+ 218964626*p^40*q^338+657948265*p^38*q^340+267281712*p^36*q^342+26902414*p^34*q^ 344+1386234*p^32*q^346+28964*p^30*q^348+5122*p^28*q^350+544*p^49*q^328+5618*p^ 47*q^330+407114*p^45*q^332+5719128*p^43*q^334+72065125*p^41*q^336+448066636*p^ 39*q^338+552215521*p^37*q^340+100285770*p^35*q^342+6922349*p^33*q^344+332332*p^ 31*q^346+9354*p^29*q^348+44*p^27*q^350+3254*p^48*q^328+56490*p^46*q^330+1251447 *p^44*q^332+19483838*p^42*q^334+193435197*p^40*q^336+633863674*p^38*q^338+ 295769613*p^36*q^340+30765926*p^34*q^342+1628438*p^32*q^344+52288*p^30*q^346+ 4670*p^28*q^348+4*p^26*q^350+256*p^49*q^326+2924*p^47*q^328+355834*p^45*q^330+ 4754255*p^43*q^332+61315622*p^41*q^334+411589214*p^39*q^336+563478796*p^37*q^ 338+114144118*p^35*q^340+8360090*p^33*q^342+402684*p^31*q^344+4126*p^29*q^346+ 730*p^27*q^348+3868*p^48*q^326+43278*p^46*q^328+1138422*p^44*q^330+16596568*p^ 42*q^332+165737122*p^40*q^334+609976364*p^38*q^336+321370570*p^36*q^338+ 36630499*p^34*q^340+1971730*p^32*q^342+79160*p^30*q^344+5286*p^28*q^346+56*p^49 *q^324+4476*p^47*q^326+238522*p^45*q^328+3705138*p^43*q^330+51318050*p^41*q^332 +365404858*p^39*q^334+587045123*p^37*q^336+129739366*p^35*q^338+10180149*p^33*q ^340+490070*p^31*q^342+5810*p^29*q^344+1116*p^27*q^346+2052*p^48*q^324+23474*p^ 46*q^326+1022499*p^44*q^328+13943716*p^42*q^330+146249973*p^40*q^332+578204740* p^38*q^334+349712832*p^36*q^336+41512736*p^34*q^338+2273704*p^32*q^340+94210*p^ 30*q^342+1992*p^28*q^344+30*p^26*q^346+11608*p^47*q^324+201680*p^45*q^326+ 3231633*p^43*q^328+43844382*p^41*q^330+330586074*p^39*q^332+583993698*p^37*q^ 334+147280241*p^35*q^336+11950424*p^33*q^338+573969*p^31*q^340+13824*p^29*q^342 +1624*p^27*q^344+1096*p^48*q^322+13826*p^46*q^324+833002*p^44*q^326+11511212*p^ 42*q^328+123860202*p^40*q^330+549958329*p^38*q^332+376902700*p^36*q^334+ 49205393*p^34*q^336+2908104*p^32*q^338+147088*p^30*q^340+376*p^28*q^342+188*p^ 26*q^344+16*p^49*q^320+10292*p^47*q^322+136256*p^45*q^324+2702486*p^43*q^326+ 37045269*p^41*q^328+291636630*p^39*q^330+596672654*p^37*q^332+164010452*p^35*q^ 334+14128709*p^33*q^336+624690*p^31*q^338+14712*p^29*q^340+1328*p^27*q^342+104* p^48*q^320+20420*p^46*q^322+692332*p^44*q^324+9403386*p^42*q^326+107897562*p^40 *q^328+508875318*p^38*q^330+406051461*p^36*q^332+56283312*p^34*q^334+3571424*p^ 32*q^336+167876*p^30*q^338+1496*p^28*q^340+214*p^26*q^342+7808*p^47*q^320+87430 *p^45*q^322+2378718*p^43*q^324+31492564*p^41*q^326+261273630*p^39*q^328+ 586687546*p^37*q^330+184405544*p^35*q^332+16407030*p^33*q^334+734320*p^31*q^336 +31214*p^29*q^338+116*p^27*q^340+16*p^25*q^342+276*p^48*q^318+30942*p^46*q^320+ 562228*p^44*q^322+7979054*p^42*q^324+91022664*p^40*q^326+476297186*p^38*q^328+ 425148314*p^36*q^330+65459260*p^34*q^332+4396888*p^32*q^334+198420*p^30*q^336+ 1684*p^28*q^338+502*p^26*q^340+2588*p^47*q^318+56266*p^45*q^320+1989006*p^43*q^ 322+26207122*p^41*q^324+227467150*p^39*q^326+586124560*p^37*q^328+205798924*p^ 35*q^330+19695260*p^33*q^332+913476*p^31*q^334+45556*p^29*q^336+68*p^27*q^338+6 *p^25*q^340+48*p^48*q^316+29772*p^46*q^318+406398*p^44*q^320+6542148*p^42*q^322 +78972047*p^40*q^324+436191120*p^38*q^326+453320626*p^36*q^328+73651528*p^34*q^ 330+5077969*p^32*q^332+209706*p^30*q^334+3544*p^28*q^336+72*p^26*q^338+2116*p^ 47*q^316+72212*p^45*q^318+1766984*p^43*q^320+22313670*p^41*q^322+201988710*p^39 *q^324+566186020*p^37*q^326+227041329*p^35*q^328+22684970*p^33*q^330+1189208*p^ 31*q^332+55956*p^29*q^334+156*p^27*q^336+98*p^25*q^338+18*p^48*q^314+19910*p^46 *q^316+279626*p^44*q^318+5498941*p^42*q^320+66195358*p^40*q^322+399732621*p^38* q^324+467904044*p^36*q^326+85995356*p^34*q^328+6308740*p^32*q^330+233952*p^30*q ^332+8948*p^28*q^334+2*p^51*q^310+1008*p^47*q^314+74824*p^45*q^316+1399818*p^43 *q^318+18560407*p^41*q^320+173945134*p^39*q^322+556762647*p^37*q^324+250513822* p^35*q^326+26756307*p^33*q^328+1415972*p^31*q^330+68160*p^29*q^332+164*p^27*q^ 334+20*p^25*q^336+11700*p^46*q^314+219218*p^44*q^316+4770656*p^42*q^318+ 57098256*p^40*q^320+362322962*p^38*q^322+487178320*p^36*q^324+96235024*p^34*q^ 326+7367246*p^32*q^328+267052*p^30*q^330+12068*p^28*q^332+4*p^26*q^334+8*p^24*q ^336+360*p^47*q^312+75526*p^45*q^314+1128294*p^43*q^316+15426990*p^41*q^318+ 153289014*p^39*q^320+525361570*p^37*q^322+274152814*p^35*q^324+30779486*p^33*q^ 326+1798410*p^31*q^328+72754*p^29*q^330+1004*p^27*q^332+30*p^50*q^308+16*p^48*q ^310+9028*p^46*q^312+197452*p^44*q^314+4045585*p^42*q^316+48133588*p^40*q^318+ 327712105*p^38*q^320+495140434*p^36*q^322+110535391*p^34*q^324+8785590*p^32*q^ 326+359518*p^30*q^328+19008*p^28*q^330+4*p^26*q^332+2*p^24*q^334+136*p^47*q^310 +52092*p^45*q^312+817670*p^43*q^314+12872356*p^41*q^316+130460342*p^39*q^318+ 509724056*p^37*q^320+296750920*p^35*q^322+36251166*p^33*q^324+2209630*p^31*q^ 326+72486*p^29*q^328+1640*p^27*q^330+3796*p^46*q^310+192489*p^44*q^312+3406500* p^42*q^314+41159216*p^40*q^316+292807802*p^38*q^318+508368753*p^36*q^320+ 122979084*p^34*q^322+10181438*p^32*q^324+421900*p^30*q^326+20588*p^28*q^328+52* p^26*q^330+178*p^49*q^306+200*p^47*q^308+44884*p^45*q^310+686510*p^43*q^312+ 10985730*p^41*q^314+114126346*p^39*q^316+473078384*p^37*q^318+321045668*p^35*q^ 320+41656400*p^33*q^322+2705591*p^31*q^324+81418*p^29*q^326+4184*p^27*q^328+ 2384*p^46*q^308+168926*p^44*q^310+2772528*p^42*q^312+34066294*p^40*q^314+ 262037737*p^38*q^316+504763800*p^36*q^318+140355955*p^34*q^320+12094968*p^32*q^ 322+581980*p^30*q^324+25280*p^28*q^326+96*p^26*q^328+52*p^49*q^304+52*p^47*q^ 306+26484*p^45*q^308+533260*p^43*q^310+9196623*p^41*q^312+96901530*p^39*q^314+ 447961188*p^37*q^316+341920776*p^35*q^318+48301851*p^33*q^320+3194936*p^31*q^ 322+89573*p^29*q^324+4628*p^27*q^326+532*p^48*q^304+1314*p^46*q^306+148434*p^44 *q^308+2238550*p^42*q^310+29197099*p^40*q^312+231362118*p^38*q^314+510481751*p^ 36*q^316+155433534*p^34*q^318+14246878*p^32*q^320+721122*p^30*q^322+24424*p^28* q^324+580*p^26*q^326+18484*p^45*q^306+483942*p^43*q^308+7853556*p^41*q^310+ 84408888*p^39*q^312+412167750*p^37*q^314+363129457*p^35*q^316+54632120*p^33*q^ 318+3740506*p^31*q^320+120978*p^29*q^322+5854*p^27*q^324+586*p^48*q^302+1024*p^ 46*q^304+123356*p^44*q^306+1806414*p^42*q^308+24339258*p^40*q^310+203798386*p^ 38*q^312+496700500*p^36*q^314+174713286*p^34*q^316+16975706*p^32*q^318+953095*p ^30*q^320+20560*p^28*q^322+996*p^26*q^324+842*p^47*q^302+9442*p^45*q^304+391364 *p^43*q^306+6399698*p^41*q^308+70587054*p^39*q^310+384517497*p^37*q^312+ 382398272*p^35*q^314+63528292*p^33*q^316+4430406*p^31*q^318+167138*p^29*q^320+ 9116*p^27*q^322+28*p^25*q^324+48*p^48*q^300+164*p^46*q^302+87062*p^44*q^304+ 1475620*p^42*q^306+20802432*p^40*q^308+179065502*p^38*q^310+492930728*p^36*q^ 312+190949946*p^34*q^314+19619756*p^32*q^316+1072580*p^30*q^318+18562*p^28*q^ 320+736*p^26*q^322+2490*p^47*q^300+7872*p^45*q^302+385752*p^43*q^304+5492462*p^ 41*q^306+61355524*p^39*q^308+346702964*p^37*q^310+398998474*p^35*q^312+71560416 *p^33*q^314+5318228*p^31*q^316+237782*p^29*q^318+7024*p^27*q^320+188*p^25*q^322 +44*p^48*q^298+764*p^46*q^300+60684*p^44*q^302+1159604*p^42*q^304+17108226*p^40 *q^306+155996834*p^38*q^308+470571808*p^36*q^310+212890265*p^34*q^312+23037304* p^32*q^314+1366168*p^30*q^316+33482*p^28*q^318+2036*p^26*q^320+928*p^47*q^298+ 3524*p^45*q^300+305882*p^43*q^302+4480808*p^41*q^304+51614214*p^39*q^306+ 319488958*p^37*q^308+411602178*p^35*q^310+82152348*p^33*q^312+6335252*p^31*q^ 314+281128*p^29*q^316+3084*p^27*q^318+36*p^25*q^320+5012*p^46*q^298+39774*p^44* q^300+997210*p^42*q^302+14616890*p^40*q^304+135016070*p^38*q^306+459380185*p^36 *q^308+229480110*p^34*q^310+26612160*p^32*q^312+1520566*p^30*q^314+48446*p^28*q ^316+2644*p^26*q^318+16*p^24*q^320+556*p^47*q^296+1734*p^45*q^298+255298*p^43*q ^300+3671750*p^41*q^302+44360855*p^39*q^304+285323598*p^37*q^306+424241020*p^35 *q^308+92297782*p^33*q^310+7633354*p^31*q^312+366910*p^29*q^314+4602*p^27*q^316 +228*p^25*q^318+5312*p^46*q^296+30010*p^44*q^298+895716*p^42*q^300+12274770*p^ 40*q^302+117771397*p^38*q^304+429896476*p^36*q^306+251161509*p^34*q^308+ 30715490*p^32*q^310+1871712*p^30*q^312+67232*p^28*q^314+1172*p^26*q^316+98*p^47 *q^294+5418*p^45*q^296+173840*p^43*q^298+2882738*p^41*q^300+36511076*p^39*q^302 +257028813*p^37*q^304+428218170*p^35*q^306+105803257*p^33*q^308+9136218*p^31*q^ 310+456981*p^29*q^312+8306*p^27*q^314+616*p^25*q^316+3444*p^46*q^294+13984*p^44 *q^296+753738*p^42*q^298+10397639*p^40*q^300+101568074*p^38*q^302+413900965*p^ 36*q^304+268594368*p^34*q^306+34870990*p^32*q^308+2171748*p^30*q^310+76547*p^28 *q^312+466*p^26*q^314+12*p^24*q^316+13202*p^45*q^294+145622*p^43*q^296+2501348* p^41*q^298+31761450*p^39*q^300+227468682*p^37*q^302+432317777*p^35*q^304+ 116338602*p^33*q^306+10800076*p^31*q^308+528956*p^29*q^310+13692*p^27*q^312+420 *p^25*q^314+1706*p^46*q^292+10070*p^44*q^294+622602*p^42*q^296+8484362*p^40*q^ 298+86958083*p^38*q^300+380871022*p^36*q^302+290390285*p^34*q^304+40938710*p^32 *q^306+2778792*p^30*q^308+120318*p^28*q^310+1060*p^26*q^312+72*p^24*q^314+36*p^ 47*q^290+12956*p^45*q^292+90996*p^43*q^294+2035630*p^41*q^296+26246536*p^39*q^ 298+203269420*p^37*q^300+429302798*p^35*q^302+131645775*p^33*q^304+12321548*p^ 31*q^306+594950*p^29*q^308+15994*p^27*q^310+148*p^25*q^312+144*p^46*q^290+18430 *p^44*q^292+503566*p^42*q^294+7065941*p^40*q^296+74648724*p^38*q^298+358956707* p^36*q^300+305473408*p^34*q^302+46762354*p^32*q^304+3359162*p^30*q^306+142328*p ^28*q^308+1756*p^26*q^310+88*p^24*q^312+10652*p^45*q^290+58560*p^43*q^292+ 1781648*p^41*q^294+22606784*p^39*q^296+178007736*p^37*q^298+425828135*p^35*q^ 300+144850566*p^33*q^302+14384892*p^31*q^304+713788*p^29*q^306+22669*p^27*q^308 +68*p^25*q^310+4*p^23*q^312+512*p^46*q^288+29074*p^44*q^290+404756*p^42*q^292+ 5784382*p^40*q^294+63836096*p^38*q^296+324986618*p^36*q^298+323532400*p^34*q^ 300+53248062*p^32*q^302+4170903*p^30*q^304+178170*p^28*q^306+4068*p^26*q^308+40 *p^24*q^310+3196*p^45*q^288+39294*p^43*q^290+1458074*p^41*q^292+18684322*p^39*q ^294+156758642*p^37*q^296+414512042*p^35*q^298+162100808*p^33*q^300+16875602*p^ 31*q^302+904537*p^29*q^304+30038*p^27*q^306+84*p^25*q^308+8*p^23*q^310+64*p^46* q^286+34018*p^44*q^288+281284*p^42*q^290+4862660*p^40*q^292+54110806*p^38*q^294 +303790015*p^36*q^296+334258752*p^34*q^298+60471478*p^32*q^300+4727240*p^30*q^ 302+181468*p^28*q^304+3500*p^26*q^306+3232*p^45*q^286+51624*p^43*q^288+1275630* p^41*q^290+15859802*p^39*q^292+136380280*p^37*q^294+403692952*p^35*q^296+ 176265660*p^33*q^298+19539051*p^31*q^300+1148882*p^29*q^302+47942*p^27*q^304+ 652*p^25*q^306+4*p^23*q^308+6*p^46*q^284+21794*p^44*q^286+193502*p^42*q^288+ 3998806*p^40*q^290+46261962*p^38*q^292+270275690*p^36*q^294+350147024*p^34*q^ 296+68427694*p^32*q^298+5788494*p^30*q^300+224578*p^28*q^302+4692*p^26*q^304+2* p^49*q^280+1384*p^45*q^284+66446*p^43*q^286+1011112*p^41*q^288+13020446*p^39*q^ 290+118978069*p^37*q^292+385017200*p^35*q^294+194850610*p^33*q^296+22608496*p^ 31*q^298+1444716*p^29*q^300+52194*p^27*q^302+885*p^25*q^304+14300*p^44*q^284+ 139634*p^42*q^286+3407234*p^40*q^288+38987384*p^38*q^290+247437269*p^36*q^292+ 354389306*p^34*q^294+77790057*p^32*q^296+6615782*p^30*q^298+260163*p^28*q^300+ 7970*p^26*q^302+32*p^24*q^304+268*p^45*q^282+69998*p^43*q^284+794852*p^41*q^286 +11135576*p^39*q^288+102765056*p^37*q^290+370221724*p^35*q^292+208886880*p^33*q ^294+25764196*p^31*q^296+1757790*p^29*q^298+57374*p^27*q^300+516*p^25*q^302+26* p^48*q^278+30*p^46*q^280+11304*p^44*q^282+140078*p^42*q^284+2883114*p^40*q^286+ 33071340*p^38*q^288+218455368*p^36*q^290+361402023*p^34*q^292+87348690*p^32*q^ 294+7970754*p^30*q^296+362160*p^28*q^298+14422*p^26*q^300+208*p^24*q^302+142*p^ 45*q^280+51826*p^43*q^282+550595*p^41*q^284+8923394*p^39*q^286+88689899*p^37*q^ 288+346203416*p^35*q^290+228847219*p^33*q^292+29901554*p^31*q^294+2165702*p^29* q^296+64196*p^27*q^298+616*p^25*q^300+3502*p^44*q^280+145370*p^42*q^282+2437278 *p^40*q^284+28083324*p^38*q^286+198383960*p^36*q^288+362149886*p^34*q^290+ 97681066*p^32*q^292+8924156*p^30*q^294+433136*p^28*q^296+13610*p^26*q^298+28*p^ 24*q^300+134*p^47*q^276+344*p^45*q^278+48270*p^43*q^280+453872*p^41*q^282+ 7700663*p^39*q^284+75716428*p^37*q^286+325999502*p^35*q^288+240303536*p^33*q^ 290+34221604*p^31*q^292+2605426*p^29*q^294+76547*p^27*q^296+2748*p^25*q^298+20* p^23*q^300+2306*p^44*q^278+137166*p^42*q^280+1914468*p^40*q^282+23476294*p^38*q ^284+172597316*p^36*q^286+363319170*p^34*q^288+109815610*p^32*q^290+10737116*p^ 30*q^292+600204*p^28*q^294+18613*p^26*q^296+22*p^24*q^298+44*p^47*q^274+48*p^45 *q^276+25690*p^43*q^278+361596*p^41*q^280+6369354*p^39*q^282+65050818*p^37*q^ 284+300127198*p^35*q^286+258279938*p^33*q^288+38659838*p^31*q^290+3013314*p^29* q^292+87278*p^27*q^294+2944*p^25*q^296+348*p^46*q^274+1862*p^44*q^276+132326*p^ 42*q^278+1520463*p^40*q^280+19704744*p^38*q^282+154626461*p^36*q^284+355232142* p^34*q^286+122248392*p^32*q^288+12308512*p^30*q^290+774288*p^28*q^292+17358*p^ 26*q^294+252*p^24*q^296+17034*p^43*q^276+329764*p^41*q^278+5441219*p^39*q^280+ 55526004*p^37*q^282+279278227*p^35*q^284+268017094*p^33*q^286+44368671*p^31*q^ 288+3464174*p^29*q^290+119588*p^27*q^292+4128*p^25*q^294+434*p^46*q^272+1120*p^ 44*q^274+110124*p^42*q^276+1200894*p^40*q^278+16613958*p^38*q^280+133174656*p^ 36*q^282+349894947*p^34*q^284+134708838*p^32*q^286+14317342*p^30*q^288+963676*p ^28*q^290+19574*p^26*q^292+608*p^24*q^294+478*p^45*q^272+9730*p^43*q^274+292136 *p^41*q^276+4357342*p^39*q^278+47256640*p^37*q^280+252342182*p^35*q^282+ 283571818*p^33*q^284+50466046*p^31*q^286+4242388*p^29*q^288+183296*p^27*q^290+ 4464*p^25*q^292+8*p^23*q^294+36*p^46*q^270+180*p^44*q^272+76036*p^42*q^274+ 959042*p^40*q^276+13839750*p^38*q^278+117897939*p^36*q^280+336916990*p^34*q^282 +148618712*p^32*q^284+16277928*p^30*q^286+1067760*p^28*q^288+16326*p^26*q^290+ 484*p^24*q^292+1622*p^45*q^270+8248*p^43*q^272+294172*p^41*q^274+3730070*p^39*q ^276+40281026*p^37*q^278+231866676*p^35*q^280+287263446*p^33*q^282+57032573*p^ 31*q^284+4929762*p^29*q^286+259922*p^27*q^288+5282*p^25*q^290+82*p^23*q^292+36* p^46*q^268+404*p^44*q^270+52862*p^42*q^272+780618*p^40*q^274+11530956*p^38*q^ 276+100446138*p^36*q^278+324215067*p^34*q^280+162300642*p^32*q^282+19092026*p^ 30*q^284+1318428*p^28*q^286+30684*p^26*q^288+1042*p^24*q^290+636*p^45*q^268+ 3340*p^43*q^270+242518*p^41*q^272+2882208*p^39*q^274+34080369*p^37*q^276+ 207224524*p^35*q^278+300047209*p^33*q^280+64444552*p^31*q^282+5763700*p^29*q^ 284+314988*p^27*q^286+2916*p^25*q^288+16*p^23*q^290+2896*p^44*q^268+36912*p^42* q^270+675374*p^40*q^272+9748912*p^38*q^274+88381176*p^36*q^276+306593644*p^34*q ^278+175312768*p^32*q^280+21397614*p^30*q^282+1549876*p^28*q^284+49106*p^26*q^ 286+1056*p^24*q^288+4*p^22*q^290+404*p^45*q^266+1490*p^43*q^268+201676*p^41*q^ 270+2412540*p^39*q^272+28728506*p^37*q^274+186860168*p^35*q^276+299633696*p^33* q^278+73492173*p^31*q^280+6692338*p^29*q^282+374090*p^27*q^284+3184*p^25*q^286+ 173*p^23*q^288+3292*p^44*q^266+25664*p^42*q^268+617548*p^40*q^270+8064909*p^38* q^272+75087534*p^36*q^274+290936341*p^34*q^276+188219758*p^32*q^278+24620541*p^ 30*q^280+1938316*p^28*q^282+78616*p^26*q^284+1076*p^24*q^286+74*p^45*q^264+2914 *p^43*q^266+140054*p^41*q^268+1874990*p^39*q^270+24023828*p^37*q^272+164315604* p^35*q^274+304319294*p^33*q^276+82253696*p^31*q^278+7945371*p^29*q^280+432864*p ^27*q^282+5980*p^25*q^284+120*p^23*q^286+2228*p^44*q^264+13100*p^42*q^266+ 541150*p^40*q^268+6678542*p^38*q^270+65649089*p^36*q^272+270763410*p^34*q^274+ 202520757*p^32*q^276+27944952*p^30*q^278+2188920*p^28*q^280+95370*p^26*q^282+ 140*p^24*q^284+14*p^22*q^286+7634*p^43*q^264+115260*p^41*q^266+1623604*p^39*q^ 268+20297692*p^37*q^270+147044449*p^35*q^272+297807148*p^33*q^274+91296222*p^31 *q^276+8834984*p^29*q^278+579426*p^27*q^280+13016*p^25*q^282+268*p^23*q^284+ 1162*p^44*q^262+6824*p^42*q^264+445218*p^40*q^266+5468938*p^38*q^268+55226662*p ^36*q^270+252226063*p^34*q^272+213272866*p^32*q^274+32705832*p^30*q^276+2745690 *p^28*q^278+113790*p^26*q^280+468*p^24*q^282+8*p^22*q^284+28*p^45*q^260+7590*p^ 43*q^262+77038*p^41*q^264+1326322*p^39*q^266+16984128*p^37*q^268+127613302*p^35 *q^270+298741730*p^33*q^272+101414750*p^31*q^274+10220063*p^29*q^276+665792*p^ 27*q^278+21260*p^25*q^280+88*p^44*q^260+10650*p^42*q^262+365226*p^40*q^264+ 4463850*p^38*q^266+47493627*p^36*q^268+231120344*p^34*q^270+225773495*p^32*q^ 272+36800344*p^30*q^274+3151692*p^28*q^276+140466*p^26*q^278+1068*p^24*q^280+26 *p^22*q^282+6572*p^43*q^260+44288*p^41*q^262+1175222*p^39*q^264+14266230*p^37*q ^266+113793246*p^35*q^268+285862664*p^33*q^270+112271706*p^31*q^272+11560034*p^ 29*q^274+827764*p^27*q^276+25618*p^25*q^278+12*p^23*q^280+372*p^44*q^258+17046* p^42*q^260+300858*p^40*q^262+3718683*p^38*q^264+39799172*p^36*q^266+210612427*p ^34*q^268+232662802*p^32*q^270+42390479*p^30*q^272+3686522*p^28*q^274+187522*p^ 26*q^276+3596*p^24*q^278+1924*p^43*q^258+25046*p^41*q^260+956808*p^39*q^262+ 11685164*p^37*q^264+97491066*p^35*q^266+281821415*p^33*q^268+123644406*p^31*q^ 270+13533490*p^29*q^272+1052988*p^27*q^274+30828*p^25*q^276+24*p^23*q^278+40*p^ 44*q^256+19414*p^42*q^258+212864*p^40*q^260+3042620*p^38*q^262+34500301*p^36*q^ 264+191141714*p^34*q^266+241299777*p^32*q^268+47194206*p^30*q^270+4129988*p^28* q^272+201066*p^26*q^274+4404*p^24*q^276+2116*p^43*q^256+34348*p^41*q^258+853178 *p^39*q^260+9911488*p^37*q^262+85240512*p^35*q^264+265442158*p^33*q^266+ 134795516*p^31*q^268+15572668*p^29*q^270+1237909*p^27*q^272+44736*p^25*q^274+ 320*p^23*q^276+10*p^44*q^254+11989*p^42*q^256+128316*p^40*q^258+2500990*p^38*q^ 260+28176686*p^36*q^262+172788270*p^34*q^264+244611556*p^32*q^266+54328822*p^30 *q^268+4759988*p^28*q^270+313144*p^26*q^272+6880*p^24*q^274+888*p^43*q^254+ 38722*p^41*q^256+704418*p^39*q^258+8155558*p^37*q^260+73391146*p^35*q^262+ 254990891*p^33*q^264+146131008*p^31*q^266+17810026*p^29*q^268+1472018*p^27*q^ 270+41234*p^25*q^272+656*p^23*q^274+8452*p^42*q^254+99840*p^40*q^256+2088950*p^ 38*q^258+24147424*p^36*q^260+152841808*p^34*q^262+250539460*p^32*q^264+60260586 *p^30*q^266+5505004*p^28*q^268+362602*p^26*q^270+8436*p^24*q^272+8*p^22*q^274+ 224*p^43*q^252+37966*p^41*q^254+529910*p^39*q^256+6799248*p^37*q^258+63667712*p ^35*q^260+237836406*p^33*q^262+156752101*p^31*q^264+20531808*p^29*q^266+1673470 *p^27*q^268+68992*p^25*q^270+1032*p^23*q^272+20*p^44*q^250+6900*p^42*q^252+ 89230*p^40*q^254+1845242*p^38*q^256+20112704*p^36*q^258+136484672*p^34*q^260+ 246469004*p^32*q^262+68485683*p^30*q^264+6162324*p^28*q^266+477984*p^26*q^268+ 8276*p^24*q^270+76*p^22*q^272+108*p^43*q^250+26826*p^41*q^252+367292*p^39*q^254 +5410984*p^37*q^256+53360252*p^35*q^258+224310334*p^33*q^260+167891872*p^31*q^ 262+23792060*p^29*q^264+2017070*p^27*q^266+94132*p^25*q^268+1692*p^23*q^270+ 2254*p^42*q^250+85883*p^40*q^252+1538418*p^38*q^254+17207282*p^36*q^256+ 120817240*p^34*q^258+248963584*p^32*q^260+75458938*p^30*q^262+7139746*p^28*q^ 264+520874*p^26*q^266+10328*p^24*q^268+56*p^22*q^270+216*p^43*q^248+27096*p^41* q^250+302104*p^39*q^252+4596644*p^37*q^254+46158735*p^35*q^256+204378876*p^33*q ^258+176752524*p^31*q^260+26811244*p^29*q^262+2202454*p^27*q^264+129840*p^25*q^ 266+1348*p^23*q^268+4*p^21*q^270+1686*p^42*q^248+72472*p^40*q^250+1210464*p^38* q^252+14013352*p^36*q^254+106230672*p^34*q^256+240903680*p^32*q^258+85160211*p^ 30*q^260+8535374*p^28*q^262+709864*p^26*q^264+18804*p^24*q^266+316*p^22*q^268+ 24*p^43*q^246+14732*p^41*q^248+222802*p^39*q^250+3837448*p^37*q^252+38621566*p^ 35*q^254+189598263*p^33*q^256+185186700*p^31*q^258+30653944*p^29*q^260+2418236* p^27*q^262+149060*p^25*q^264+1276*p^23*q^266+1032*p^42*q^246+68046*p^40*q^248+ 972528*p^38*q^250+11771970*p^36*q^252+92546434*p^34*q^254+238779464*p^32*q^256+ 92800534*p^30*q^258+9782148*p^28*q^260+827786*p^26*q^262+26112*p^24*q^264+132*p ^22*q^266+11498*p^41*q^246+199251*p^39*q^248+3253622*p^37*q^250+33410607*p^35*q ^252+171036864*p^33*q^254+191636844*p^31*q^256+34637608*p^29*q^258+2804602*p^27 *q^260+186614*p^25*q^262+2498*p^23*q^264+28*p^21*q^266+672*p^42*q^244+56274*p^ 40*q^246+741499*p^38*q^248+9636900*p^36*q^250+80029809*p^34*q^252+226469388*p^ 32*q^254+103703294*p^30*q^256+11370126*p^28*q^258+917114*p^26*q^260+43160*p^24* q^262+180*p^22*q^264+5456*p^41*q^244+157030*p^39*q^246+2651498*p^37*q^248+ 27611082*p^35*q^250+156678518*p^33*q^252+197387868*p^31*q^254+39429096*p^29*q^ 256+3256106*p^27*q^258+272094*p^25*q^260+3092*p^23*q^262+8*p^21*q^264+80*p^42*q ^242+44898*p^40*q^244+591742*p^38*q^246+8101101*p^36*q^248+69383064*p^34*q^250+ 218494745*p^32*q^252+111246386*p^30*q^254+12946937*p^28*q^256+975400*p^26*q^258 +35620*p^24*q^260+196*p^22*q^262+4716*p^41*q^242+145300*p^39*q^244+2204856*p^37 *q^246+23737516*p^35*q^248+138847138*p^33*q^250+202500752*p^31*q^252+44565708*p ^29*q^254+3942930*p^27*q^256+334992*p^25*q^258+10174*p^23*q^260+16*p^21*q^262+ 32*p^42*q^240+31746*p^40*q^242+456894*p^38*q^244+6701848*p^36*q^246+59432530*p^ 34*q^248+204259250*p^32*q^250+120460361*p^30*q^252+14819078*p^28*q^254+1082690* p^26*q^256+63666*p^24*q^258+188*p^22*q^260+14*p^43*q^238+1752*p^41*q^240+121888 *p^39*q^242+1752792*p^37*q^244+19368692*p^35*q^246+125473096*p^33*q^248+ 202453340*p^31*q^250+51149187*p^29*q^252+4599948*p^27*q^254+386108*p^25*q^256+ 7386*p^23*q^258+8*p^21*q^260+19928*p^40*q^240+367394*p^38*q^242+5577646*p^36*q^ 244+51081812*p^34*q^246+194591555*p^32*q^248+129100138*p^30*q^250+16701764*p^28 *q^252+1209952*p^26*q^254+93864*p^24*q^256+1356*p^22*q^258+676*p^41*q^238+ 113388*p^39*q^240+1414306*p^37*q^242+16646514*p^35*q^244+109811030*p^33*q^246+ 203827942*p^31*q^248+56034474*p^29*q^250+5328397*p^27*q^252+403962*p^25*q^254+ 9430*p^23*q^256+4*p^21*q^258+160*p^42*q^236+14664*p^40*q^238+311300*p^38*q^240+ 4631184*p^36*q^242+43474579*p^34*q^244+177897490*p^32*q^246+138220935*p^30*q^ 248+19574584*p^28*q^250+1515046*p^26*q^252+132780*p^24*q^254+2032*p^22*q^256+ 144*p^41*q^236+74504*p^39*q^238+1063138*p^37*q^240+13410248*p^35*q^242+97118319 *p^33*q^244+200451146*p^31*q^246+63699978*p^29*q^248+6092658*p^27*q^250+441696* p^25*q^252+17300*p^23*q^254+64*p^21*q^256+8*p^42*q^234+6368*p^40*q^236+271842*p ^38*q^238+3910681*p^36*q^240+37150742*p^34*q^242+167440923*p^32*q^244+144458698 *p^30*q^246+21979054*p^28*q^248+1727318*p^26*q^250+141378*p^24*q^252+636*p^22*q ^254+740*p^41*q^234+65726*p^39*q^236+895782*p^37*q^238+11427492*p^35*q^240+ 84328462*p^33*q^242+196213005*p^31*q^244+69603782*p^29*q^246+7021738*p^27*q^248 +470646*p^25*q^250+32860*p^23*q^252+412*p^21*q^254+2714*p^40*q^234+222842*p^38* q^236+3035702*p^36*q^238+31358572*p^34*q^240+150509572*p^32*q^242+153083512*p^ 30*q^244+25551018*p^28*q^246+2137300*p^26*q^248+184852*p^24*q^250+2064*p^22*q^ 252+388*p^41*q^232+40120*p^39*q^234+688781*p^37*q^236+9487952*p^35*q^238+ 74018963*p^33*q^240+190176272*p^31*q^242+77372225*p^29*q^244+7956884*p^27*q^246 +530824*p^25*q^248+40372*p^23*q^250+2126*p^40*q^232+196808*p^38*q^234+2497394*p ^36*q^236+26196084*p^34*q^238+138517464*p^32*q^240+156450666*p^30*q^242+ 28827278*p^28*q^244+2454594*p^26*q^246+184022*p^24*q^248+4694*p^22*q^250+36*p^ 20*q^252+8*p^41*q^230+22190*p^39*q^232+569780*p^37*q^234+7924158*p^35*q^236+ 63909626*p^33*q^238+183879276*p^31*q^240+84218138*p^29*q^242+9192266*p^27*q^244 +630898*p^25*q^246+55264*p^23*q^248+128*p^21*q^250+3318*p^40*q^230+159632*p^38* q^232+2025962*p^36*q^234+22188103*p^34*q^236+122535144*p^32*q^238+161363102*p^ 30*q^240+32812346*p^28*q^242+2865498*p^26*q^244+194976*p^24*q^246+9756*p^22*q^ 248+8*p^41*q^228+9858*p^39*q^230+474734*p^37*q^232+6361052*p^35*q^234+54878767* p^33*q^236+173632164*p^31*q^238+92973956*p^29*q^240+10551688*p^27*q^242+810222* p^25*q^244+72952*p^23*q^246+270*p^21*q^248+516*p^40*q^228+108952*p^38*q^230+ 1574926*p^36*q^232+18602040*p^34*q^234+112022928*p^32*q^236+162972964*p^30*q^ 238+36909794*p^28*q^240+3217324*p^26*q^242+188900*p^24*q^244+10262*p^22*q^246+ 13648*p^39*q^228+434478*p^37*q^230+5426451*p^35*q^232+47104942*p^33*q^234+ 164463948*p^31*q^236+98449062*p^29*q^238+12070007*p^27*q^240+920534*p^25*q^242+ 80178*p^23*q^244+1472*p^21*q^246+3*p^42*q^224+362*p^40*q^226+64798*p^38*q^228+ 1233844*p^36*q^230+15405539*p^34*q^232+97117920*p^32*q^234+165085179*p^30*q^236 +42002510*p^28*q^238+3840756*p^26*q^240+239516*p^24*q^242+19822*p^22*q^244+6420 *p^39*q^226+350486*p^37*q^228+4296500*p^35*q^230+40305036*p^33*q^232+153405372* p^31*q^234+107167400*p^29*q^236+13905800*p^27*q^238+1101960*p^25*q^240+84402*p^ 23*q^242+1868*p^21*q^244+24*p^40*q^224+45672*p^38*q^226+1040048*p^36*q^228+ 12870854*p^34*q^230+87478511*p^32*q^232+162197378*p^30*q^234+46789708*p^28*q^ 236+4233560*p^26*q^238+269164*p^24*q^240+23608*p^22*q^242+72*p^20*q^244+36*p^41 *q^222+3660*p^39*q^224+275692*p^37*q^226+3512538*p^35*q^228+34058400*p^33*q^230 +142612992*p^31*q^232+112218014*p^29*q^234+15951983*p^27*q^236+1319000*p^25*q^ 238+81188*p^23*q^240+3012*p^21*q^242+24*p^40*q^222+36668*p^38*q^224+874688*p^36 *q^226+10729149*p^34*q^228+75233932*p^32*q^230+161134900*p^30*q^232+52121162*p^ 28*q^234+4870448*p^26*q^236+325294*p^24*q^238+36780*p^22*q^240+372*p^20*q^242+ 1048*p^39*q^222+173928*p^37*q^224+2719696*p^35*q^226+28756059*p^33*q^228+ 130071344*p^31*q^230+119813986*p^29*q^232+18518444*p^27*q^234+1577886*p^25*q^ 236+90822*p^23*q^238+3988*p^21*q^240+176*p^40*q^220+21454*p^38*q^222+767402*p^ 36*q^224+8885568*p^34*q^226+66895451*p^32*q^228+156529284*p^30*q^230+57793356*p ^28*q^232+5455182*p^26*q^234+383912*p^24*q^236+33484*p^22*q^238+204*p^20*q^240+ 348*p^39*q^220+144754*p^37*q^222+2245935*p^35*q^224+24229668*p^33*q^226+ 119117598*p^31*q^228+122155700*p^29*q^230+21045094*p^27*q^232+1763102*p^25*q^ 234+88928*p^23*q^236+10132*p^21*q^238+36*p^19*q^240+60*p^40*q^218+12536*p^38*q^ 220+582728*p^36*q^222+7192127*p^34*q^224+56862000*p^32*q^226+151931164*p^30*q^ 228+64076020*p^28*q^230+6514696*p^26*q^232+502256*p^24*q^234+42114*p^22*q^236+ 346*p^20*q^238+728*p^39*q^218+94598*p^37*q^220+1833352*p^35*q^222+20362540*p^33 *q^224+106700032*p^31*q^226+127736351*p^29*q^228+23839762*p^27*q^230+1938210*p^ 25*q^232+99860*p^23*q^234+11440*p^21*q^236+3306*p^38*q^218+459372*p^36*q^220+ 5838558*p^34*q^222+49702961*p^32*q^224+144567062*p^30*q^226+70168593*p^28*q^228 +7511436*p^26*q^230+638764*p^24*q^232+36738*p^22*q^234+1416*p^20*q^236+566*p^39 *q^216+73486*p^37*q^218+1555715*p^35*q^220+17085350*p^33*q^222+97038422*p^31*q^ 224+128539960*p^29*q^226+26902005*p^27*q^228+2152196*p^25*q^230+114696*p^23*q^ 232+15148*p^21*q^234+4*p^19*q^236+4516*p^38*q^216+348832*p^36*q^218+4743175*p^ 34*q^220+41782832*p^32*q^222+136988576*p^30*q^224+75438080*p^28*q^226+8871165*p ^26*q^228+738248*p^24*q^230+31540*p^22*q^232+2954*p^20*q^234+68*p^39*q^214+ 30277*p^37*q^216+1221718*p^35*q^218+13966904*p^33*q^220+85127336*p^31*q^222+ 132620865*p^29*q^224+30975016*p^27*q^226+2484330*p^25*q^228+174968*p^23*q^230+ 21412*p^21*q^232+72*p^19*q^234+2578*p^38*q^214+274412*p^36*q^216+3872780*p^34*q ^218+36574275*p^32*q^220+128502592*p^30*q^222+81400100*p^28*q^224+9814018*p^26* q^226+790250*p^24*q^228+21436*p^22*q^230+2716*p^20*q^232+52*p^39*q^212+24156*p^ 37*q^214+1029742*p^35*q^216+11652270*p^33*q^218+75631944*p^31*q^220+129623818*p ^29*q^222+34658564*p^27*q^224+2989450*p^25*q^226+245008*p^23*q^228+15840*p^21*q ^230+524*p^19*q^232+1108*p^38*q^212+176326*p^36*q^214+3117818*p^34*q^216+ 30260488*p^32*q^218+119884479*p^30*q^220+86775672*p^28*q^222+11629090*p^26*q^ 224+874142*p^24*q^226+31900*p^22*q^228+8050*p^20*q^230+22*p^39*q^210+14014*p^37 *q^212+800378*p^35*q^214+9599921*p^33*q^216+66011980*p^31*q^218+130414578*p^29* q^220+38750216*p^27*q^222+3393972*p^25*q^224+283300*p^23*q^226+9412*p^21*q^228+ 148*p^19*q^230+612*p^38*q^210+109676*p^36*q^212+2574416*p^34*q^214+25711887*p^ 32*q^216+109952458*p^30*q^218+91935058*p^28*q^220+13251460*p^26*q^222+987375*p^ 24*q^224+55216*p^22*q^226+8124*p^20*q^228+40*p^18*q^230+7284*p^37*q^210+654695* p^35*q^212+7826218*p^33*q^214+58647633*p^31*q^216+126044414*p^29*q^218+43186372 *p^27*q^220+3936198*p^25*q^222+320282*p^23*q^224+3908*p^21*q^226+1514*p^19*q^ 228+478*p^38*q^208+83154*p^36*q^210+2076102*p^34*q^212+21472022*p^32*q^214+ 100017901*p^30*q^216+95462596*p^28*q^218+15253886*p^26*q^220+1132238*p^24*q^222 +82110*p^22*q^224+7374*p^20*q^226+4618*p^37*q^208+431712*p^35*q^210+6308584*p^ 33*q^212+49555892*p^31*q^214+124618183*p^29*q^216+47967168*p^27*q^218+4705384*p ^25*q^220+382958*p^23*q^222+7922*p^21*q^224+2608*p^19*q^226+12*p^38*q^206+38175 *p^36*q^208+1748210*p^34*q^210+18182094*p^32*q^212+91045740*p^30*q^214+99348259 *p^28*q^216+17197064*p^26*q^218+1231868*p^24*q^220+93016*p^22*q^222+2236*p^20*q ^224+102*p^18*q^226+4020*p^37*q^206+347456*p^35*q^208+5234410*p^33*q^210+ 43188493*p^31*q^212+117258040*p^29*q^214+52628896*p^27*q^216+5336202*p^25*q^218 +417058*p^23*q^220+15488*p^21*q^222+3488*p^19*q^224+44*p^38*q^204+28132*p^36*q^ 206+1358218*p^34*q^208+14740544*p^32*q^210+81947730*p^30*q^212+101173684*p^28*q ^214+19941326*p^26*q^216+1532820*p^24*q^218+132388*p^22*q^220+736*p^20*q^222+ 488*p^18*q^224+920*p^37*q^204+202298*p^35*q^206+4189978*p^33*q^208+36668832*p^ 31*q^210+112770185*p^29*q^212+57387942*p^27*q^214+6274188*p^25*q^216+421236*p^ 23*q^218+22108*p^21*q^220+2736*p^19*q^222+19444*p^36*q^204+1077574*p^34*q^206+ 12498588*p^32*q^208+72632618*p^30*q^210+104328707*p^28*q^212+22326936*p^26*q^ 214+1722302*p^24*q^216+156706*p^22*q^218+1468*p^20*q^220+724*p^18*q^222+588*p^ 37*q^202+140728*p^35*q^204+3465446*p^33*q^206+31374872*p^31*q^208+104826922*p^ 29*q^210+61541765*p^27*q^212+7174808*p^25*q^214+480764*p^23*q^216+29568*p^21*q^ 218+276*p^19*q^220+44*p^17*q^222+8*p^38*q^200+11834*p^36*q^202+804186*p^34*q^ 204+10030118*p^32*q^206+64449152*p^30*q^208+103160990*p^28*q^210+25723221*p^26* q^212+2123740*p^24*q^214+179280*p^22*q^216+4012*p^20*q^218+1660*p^18*q^220+112* p^37*q^200+87046*p^35*q^202+2795800*p^33*q^204+26235302*p^31*q^206+99099443*p^ 29*q^208+66170428*p^27*q^210+8227581*p^25*q^212+525452*p^23*q^214+44861*p^21*q^ 216+52*p^19*q^218+44*p^17*q^220+8*p^38*q^198+4668*p^36*q^200+565784*p^34*q^202+ 8310587*p^32*q^204+56341082*p^30*q^206+103683975*p^28*q^208+28609738*p^26*q^210 +2459301*p^24*q^212+186502*p^22*q^214+4824*p^20*q^216+420*p^18*q^218+88*p^37*q^ 198+65458*p^35*q^200+2293714*p^33*q^202+22410016*p^31*q^204+90368532*p^29*q^206 +70339522*p^27*q^208+9368850*p^25*q^210+612480*p^23*q^212+59314*p^21*q^214+364* p^19*q^216+464*p^17*q^218+2360*p^36*q^198+391776*p^34*q^200+6699262*p^32*q^202+ 49032604*p^30*q^204+100523514*p^28*q^206+32289298*p^26*q^208+2925834*p^24*q^210 +187388*p^22*q^212+8188*p^20*q^214+134*p^37*q^196+34796*p^35*q^198+1766723*p^33 *q^200+18387550*p^31*q^202+83616797*p^29*q^204+74158240*p^27*q^206+10958661*p^ 25*q^208+757918*p^23*q^210+80502*p^21*q^212+840*p^19*q^214+330*p^17*q^216+668*p ^36*q^196+258626*p^34*q^198+5540601*p^32*q^200+42420554*p^30*q^202+99173841*p^ 28*q^204+35373942*p^26*q^206+3280848*p^24*q^208+178120*p^22*q^210+11162*p^20*q^ 212+8*p^18*q^214+48*p^16*q^216+32*p^37*q^194+20340*p^35*q^196+1392952*p^33*q^ 198+15511375*p^31*q^200+74999154*p^29*q^202+76706128*p^27*q^204+12549358*p^25*q ^206+927844*p^23*q^208+80710*p^21*q^210+752*p^19*q^212+1228*p^36*q^194+187951*p ^34*q^196+4460018*p^32*q^198+36335741*p^30*q^200+93957578*p^28*q^202+39715573*p ^26*q^204+3759546*p^24*q^206+206017*p^22*q^208+24654*p^20*q^210+108*p^18*q^212+ 132*p^16*q^214+7008*p^35*q^194+932798*p^33*q^196+12502488*p^31*q^198+68123237*p ^29*q^200+79107238*p^27*q^202+14470400*p^25*q^204+1163478*p^23*q^206+82138*p^21 *q^208+1088*p^19*q^210+508*p^36*q^192+114882*p^34*q^194+3742768*p^32*q^196+ 31329444*p^30*q^198+91065346*p^28*q^200+42837816*p^26*q^202+4250334*p^24*q^204+ 227876*p^22*q^206+27980*p^20*q^208+20*p^18*q^210+7180*p^35*q^192+728864*p^33*q^ 194+10435073*p^31*q^196+59591164*p^29*q^198+80600085*p^27*q^200+16440784*p^25*q ^202+1330160*p^23*q^204+70550*p^21*q^206+4362*p^19*q^208+4*p^17*q^210+26*p^15*q ^212+60*p^36*q^190+59946*p^34*q^192+2820718*p^32*q^194+26200796*p^30*q^196+ 84900550*p^28*q^198+47006556*p^26*q^200+5070468*p^24*q^202+329770*p^22*q^204+ 36748*p^20*q^206+32*p^18*q^208+4444*p^35*q^190+501900*p^33*q^192+8522948*p^31*q ^194+53711819*p^29*q^196+80662452*p^27*q^198+18863744*p^25*q^200+1462884*p^23*q ^202+52760*p^21*q^204+6700*p^19*q^206+20*p^36*q^188+34832*p^34*q^190+2221656*p^ 32*q^192+22016578*p^30*q^194+79745583*p^28*q^196+50249968*p^26*q^198+5786933*p^ 24*q^200+435736*p^22*q^202+40312*p^20*q^204+356*p^18*q^206+2*p^14*q^210+1588*p^ 35*q^188+325650*p^33*q^190+7083418*p^31*q^192+46636048*p^29*q^194+81168780*p^27 *q^196+21054154*p^25*q^198+1683999*p^23*q^200+64526*p^21*q^202+8930*p^19*q^204+ 16*p^36*q^186+29368*p^34*q^188+1696032*p^32*q^190+18435880*p^30*q^192+72660546* p^28*q^194+53588504*p^26*q^196+6823936*p^24*q^198+515290*p^22*q^200+24552*p^20* q^202+1220*p^18*q^204+6*p^37*q^184+536*p^35*q^186+178780*p^33*q^188+5571648*p^ 31*q^190+40480268*p^29*q^192+79791100*p^27*q^194+24035556*p^25*q^196+1933196*p^ 23*q^198+103128*p^21*q^200+17576*p^19*q^202+8*p^17*q^204+13314*p^34*q^186+ 1254324*p^32*q^188+15378782*p^30*q^190+68317608*p^28*q^192+56058480*p^26*q^194+ 7856949*p^24*q^196+578654*p^22*q^198+13528*p^20*q^200+844*p^18*q^202+224*p^35*q ^184+144736*p^33*q^186+4560565*p^31*q^188+34808080*p^29*q^190+77079171*p^27*q^ 192+26409862*p^25*q^194+2176542*p^23*q^196+149002*p^21*q^198+15783*p^19*q^200+ 124*p^17*q^202+78*p^36*q^182+6890*p^34*q^184+824962*p^32*q^186+12670198*p^30*q^ 188+60294116*p^28*q^190+59726886*p^26*q^192+9223196*p^24*q^194+707278*p^22*q^ 196+16552*p^20*q^198+4068*p^18*q^200+46*p^35*q^182+78860*p^33*q^184+3562798*p^ 31*q^186+29839077*p^29*q^188+74961152*p^27*q^190+29389002*p^25*q^192+2552310*p^ 23*q^194+176190*p^21*q^196+9848*p^19*q^198+16*p^17*q^200+2592*p^34*q^182+570020 *p^32*q^184+10453314*p^30*q^186+55239648*p^28*q^188+60292524*p^26*q^190+ 10573560*p^24*q^192+725282*p^22*q^194+28632*p^20*q^196+5898*p^18*q^198+4*p^16*q ^200+432*p^35*q^180+50898*p^33*q^182+2820861*p^31*q^184+25264516*p^29*q^186+ 71588044*p^27*q^188+32203700*p^25*q^190+3026562*p^23*q^192+236866*p^21*q^194+ 3636*p^19*q^196+408*p^17*q^198+1298*p^34*q^180+387632*p^32*q^182+8404666*p^30*q ^184+48155580*p^28*q^186+62227651*p^26*q^188+12118806*p^24*q^190+826992*p^22*q^ 192+42508*p^20*q^194+6524*p^18*q^196+140*p^35*q^178+23756*p^33*q^180+1954162*p^ 31*q^182+21537872*p^29*q^184+67395070*p^27*q^186+35550033*p^25*q^188+3642302*p^ 23*q^190+274566*p^21*q^192+3174*p^19*q^194+1180*p^17*q^196+1538*p^34*q^178+ 248569*p^32*q^180+6992356*p^30*q^182+43095187*p^28*q^184+62318182*p^26*q^186+ 13582516*p^24*q^188+891698*p^22*q^190+56268*p^20*q^192+3598*p^18*q^194+8*p^16*q ^196+12658*p^33*q^178+1484802*p^31*q^180+17755944*p^29*q^182+63188764*p^27*q^ 184+37744328*p^25*q^186+4289806*p^23*q^188+310626*p^21*q^190+7360*p^19*q^192+ 1916*p^17*q^194+1538*p^34*q^176+158376*p^32*q^178+5496453*p^30*q^180+37090370*p ^28*q^182+62688575*p^26*q^184+15590310*p^24*q^186+1081400*p^22*q^188+82892*p^20 *q^190+418*p^18*q^192+128*p^16*q^194+8*p^35*q^174+7484*p^33*q^176+982576*p^31*q ^178+14796941*p^29*q^180+57942868*p^27*q^182+41009636*p^25*q^184+4982068*p^23*q ^186+319692*p^21*q^188+9866*p^19*q^190+2712*p^17*q^192+134*p^34*q^174+80734*p^ 32*q^176+4308506*p^30*q^178+32775121*p^28*q^180+61821602*p^26*q^182+17533980*p^ 24*q^184+1302330*p^22*q^186+104220*p^20*q^188+726*p^18*q^190+200*p^16*q^192+ 7898*p^33*q^174+720432*p^31*q^176+12317802*p^29*q^178+53230795*p^27*q^180+ 42211102*p^25*q^182+5687206*p^23*q^184+312988*p^21*q^186+16000*p^19*q^188+512*p ^17*q^190+4*p^15*q^192+212*p^34*q^172+53444*p^32*q^174+3222844*p^30*q^176+ 27474752*p^28*q^178+60240662*p^26*q^180+20021106*p^24*q^182+1641516*p^22*q^184+ 137958*p^20*q^186+1580*p^18*q^188+944*p^16*q^190+2562*p^33*q^172+415312*p^31*q^ 174+10022867*p^29*q^176+47917496*p^27*q^178+45424209*p^25*q^180+6502372*p^23*q^ 182+362116*p^21*q^184+22340*p^19*q^186+24*p^17*q^188+4*p^15*q^190+20*p^34*q^170 +32802*p^32*q^172+2429586*p^30*q^174+23941498*p^28*q^176+58237330*p^26*q^178+ 21722273*p^24*q^180+1924970*p^22*q^182+122962*p^20*q^184+1700*p^18*q^186+480*p^ 16*q^188+2000*p^33*q^170+290728*p^31*q^172+8129288*p^29*q^174+43043485*p^27*q^ 176+45629946*p^25*q^178+7676218*p^23*q^180+426616*p^21*q^182+43060*p^19*q^184+ 188*p^17*q^186+132*p^15*q^188+19804*p^32*q^170+1675088*p^30*q^172+19770616*p^28 *q^174+55749577*p^26*q^176+24396660*p^24*q^178+2240318*p^22*q^180+130434*p^20*q ^182+2848*p^18*q^184+718*p^33*q^168+168996*p^31*q^170+6475278*p^29*q^172+ 38076336*p^27*q^174+47778217*p^25*q^176+8722466*p^23*q^178+566114*p^21*q^180+ 48618*p^19*q^182+96*p^17*q^184+220*p^15*q^186+4*p^34*q^166+12116*p^32*q^168+ 1157044*p^30*q^170+16823308*p^28*q^172+52099454*p^26*q^174+26478976*p^24*q^176+ 2567312*p^22*q^178+110694*p^20*q^180+7732*p^18*q^182+8*p^16*q^184+4*p^14*q^186+ 60*p^33*q^166+104092*p^31*q^168+5059884*p^29*q^170+33735157*p^27*q^172+47719236 *p^25*q^174+10022841*p^23*q^176+710892*p^21*q^178+55610*p^19*q^180+212*p^17*q^ 182+8*p^34*q^164+8172*p^32*q^166+809844*p^30*q^168+13701292*p^28*q^170+48577953 *p^26*q^172+28266244*p^24*q^174+3002062*p^22*q^176+128710*p^20*q^178+12920*p^18 *q^180+4*p^16*q^182+48*p^14*q^184+140*p^33*q^164+62252*p^31*q^166+3642963*p^29* q^168+28982320*p^27*q^170+48435160*p^25*q^172+11736674*p^23*q^174+850018*p^21*q ^176+54878*p^19*q^178+672*p^17*q^180+1588*p^32*q^164+484016*p^30*q^166+11728903 *p^28*q^168+45010452*p^26*q^170+30587525*p^24*q^172+3375378*p^22*q^174+172824*p ^20*q^176+15552*p^18*q^178+12*p^16*q^180+92*p^33*q^162+49568*p^31*q^164+2810296 *p^29*q^166+25058959*p^27*q^168+46757120*p^25*q^170+13007660*p^23*q^172+992898* p^21*q^174+35200*p^19*q^176+2254*p^17*q^178+4*p^13*q^182+6*p^34*q^160+1752*p^32 *q^162+305886*p^30*q^164+9056874*p^28*q^166+41020132*p^26*q^168+32263148*p^24*q ^170+4131108*p^22*q^172+246246*p^20*q^174+26382*p^18*q^176+20*p^16*q^178+32*p^ 33*q^160+19882*p^31*q^162+1908714*p^29*q^164+21336854*p^27*q^166+46461176*p^25* q^168+14721908*p^23*q^170+1116026*p^21*q^172+34804*p^19*q^174+2148*p^17*q^176+ 652*p^32*q^160+213816*p^30*q^162+7351160*p^28*q^164+37003802*p^26*q^166+ 34080268*p^24*q^168+4722668*p^22*q^170+297452*p^20*q^172+19920*p^18*q^174+214*p ^16*q^176+72*p^33*q^158+12746*p^31*q^160+1309120*p^29*q^162+18248402*p^27*q^164 +43908090*p^25*q^166+16231540*p^23*q^168+1290592*p^21*q^170+51166*p^19*q^172+ 6760*p^17*q^174+466*p^32*q^158+133226*p^30*q^160+5600558*p^28*q^162+32831637*p^ 26*q^164+35058254*p^24*q^166+5676414*p^22*q^168+369484*p^20*q^170+13886*p^18*q^ 172+164*p^16*q^174+5900*p^31*q^158+842068*p^29*q^160+15017262*p^27*q^162+ 42617518*p^25*q^164+18029254*p^23*q^166+1485096*p^21*q^168+70420*p^19*q^170+ 8866*p^17*q^172+8*p^15*q^174+410*p^32*q^156+74316*p^30*q^158+4245481*p^28*q^160 +29111922*p^26*q^162+36000918*p^24*q^164+6444108*p^22*q^166+427056*p^20*q^168+ 9002*p^18*q^170+776*p^16*q^172+3182*p^31*q^156+595584*p^29*q^158+12560492*p^27* q^160+39522276*p^25*q^162+19763975*p^23*q^164+1781476*p^21*q^166+94508*p^19*q^ 168+8302*p^17*q^170+12*p^15*q^172+176*p^32*q^154+46100*p^30*q^156+2967760*p^28* q^158+25419821*p^26*q^160+35890060*p^24*q^162+7490589*p^22*q^164+491326*p^20*q^ 166+12630*p^18*q^168+2036*p^16*q^170+3*p^33*q^152+2456*p^31*q^154+366796*p^29*q ^156+10010546*p^27*q^158+37068064*p^25*q^160+21567048*p^23*q^162+2103892*p^21*q ^164+129568*p^19*q^166+4978*p^17*q^168+20*p^15*q^170+18946*p^30*q^154+2102662*p ^28*q^156+21943168*p^26*q^158+36516552*p^24*q^160+8410164*p^22*q^162+530814*p^ 20*q^164+16610*p^18*q^166+2816*p^16*q^168+1924*p^31*q^152+248660*p^29*q^154+ 8098306*p^27*q^156+33821924*p^25*q^158+22776262*p^23*q^160+2540914*p^21*q^162+ 159392*p^19*q^164+1822*p^17*q^166+248*p^15*q^168+44*p^32*q^150+15486*p^30*q^152 +1459980*p^28*q^154+18585252*p^26*q^156+35194672*p^24*q^158+9832384*p^22*q^160+ 615582*p^20*q^162+27958*p^18*q^164+3528*p^16*q^166+3*p^33*q^148+210*p^31*q^150+ 119976*p^29*q^152+5922706*p^27*q^154+31151207*p^25*q^156+24516504*p^23*q^158+ 3003894*p^21*q^160+190450*p^19*q^162+2382*p^17*q^164+382*p^15*q^166+8*p^32*q^ 148+10728*p^30*q^150+1015530*p^28*q^152+16002264*p^26*q^154+34738348*p^24*q^156 +10709884*p^22*q^158+710890*p^20*q^160+36234*p^18*q^162+820*p^16*q^164+12*p^14* q^166+331*p^31*q^148+83080*p^29*q^150+4526866*p^27*q^152+27238758*p^25*q^154+ 25416632*p^23*q^156+3553408*p^21*q^158+201032*p^19*q^160+3686*p^17*q^162+1292*p ^15*q^164+44*p^32*q^146+4344*p^30*q^148+619604*p^28*q^150+13006318*p^26*q^152+ 33362440*p^24*q^154+12306629*p^22*q^156+900342*p^20*q^158+61276*p^18*q^160+268* p^16*q^162+14*p^14*q^164+162*p^31*q^146+51818*p^29*q^148+3276634*p^27*q^150+ 24673543*p^25*q^152+26050188*p^23*q^154+4087872*p^21*q^156+206494*p^19*q^158+ 5148*p^17*q^160+684*p^15*q^162+1964*p^30*q^146+381972*p^28*q^148+10475990*p^26* q^150+31782659*p^24*q^152+13569410*p^22*q^154+1098316*p^20*q^156+69982*p^18*q^ 158+284*p^16*q^160+200*p^14*q^162+267*p^31*q^144+32268*p^29*q^146+2349305*p^27* q^148+21480522*p^25*q^150+26881187*p^23*q^152+4656644*p^21*q^154+229624*p^19*q^ 156+11864*p^17*q^158+12*p^15*q^160+1583*p^30*q^144+255328*p^28*q^146+8282859*p^ 26*q^148+29244194*p^24*q^150+14812588*p^22*q^152+1364400*p^20*q^154+76922*p^18* q^156+498*p^16*q^158+314*p^14*q^160+76*p^31*q^142+14111*p^29*q^144+1504956*p^27 *q^146+18584067*p^25*q^148+27154304*p^23*q^150+5610779*p^21*q^152+284378*p^19*q ^154+19048*p^17*q^156+12*p^15*q^158+8*p^13*q^160+1072*p^30*q^142+152560*p^28*q^ 144+6421260*p^26*q^146+27642362*p^24*q^148+15882598*p^22*q^150+1485989*p^20*q^ 152+76938*p^18*q^154+1076*p^16*q^156+10228*p^29*q^142+1074190*p^27*q^144+ 15570188*p^25*q^146+26895675*p^23*q^148+6282626*p^21*q^150+384970*p^19*q^152+ 22752*p^17*q^154+32*p^15*q^156+70*p^13*q^158+950*p^30*q^140+91434*p^28*q^142+ 4683944*p^26*q^144+24867426*p^24*q^146+17178175*p^22*q^148+1901568*p^20*q^150+ 70704*p^18*q^152+3538*p^16*q^154+4*p^31*q^138+4996*p^29*q^140+637004*p^27*q^142 +13144386*p^25*q^144+26423750*p^23*q^146+7297396*p^21*q^148+436468*p^19*q^150+ 32684*p^17*q^152+32*p^15*q^154+76*p^30*q^138+54362*p^28*q^140+3459722*p^26*q^ 142+22730984*p^24*q^144+18088400*p^22*q^146+2142582*p^20*q^148+88716*p^18*q^150 +3636*p^16*q^152+6*p^12*q^156+5348*p^29*q^138+433356*p^27*q^140+10534446*p^25*q ^142+25612845*p^23*q^144+8007982*p^21*q^146+558388*p^19*q^148+27644*p^17*q^150+ 372*p^15*q^152+92*p^30*q^136+30352*p^28*q^138+2353526*p^26*q^140+19765530*p^24* q^142+19110989*p^22*q^144+2617646*p^20*q^146+108686*p^18*q^148+9010*p^16*q^150+ 1700*p^29*q^136+263506*p^27*q^138+8364794*p^25*q^140+24679690*p^23*q^142+ 9145758*p^21*q^144+673178*p^19*q^146+24718*p^17*q^148+320*p^15*q^150+8*p^30*q^ 134+21282*p^28*q^136+1595116*p^26*q^138+17675443*p^24*q^140+19314634*p^22*q^142 +2986088*p^20*q^144+133910*p^18*q^146+11320*p^16*q^148+16*p^14*q^150+828*p^29*q ^134+159992*p^27*q^136+6485602*p^25*q^138+23033972*p^23*q^140+10152984*p^21*q^ 142+799337*p^19*q^144+23496*p^17*q^146+1184*p^15*q^148+13926*p^28*q^134+1070912 *p^26*q^136+14683622*p^24*q^138+20072896*p^22*q^140+3468762*p^20*q^142+191282*p ^18*q^144+11002*p^16*q^146+24*p^14*q^148+6*p^31*q^130+292*p^29*q^132+91490*p^27 *q^134+4697299*p^25*q^136+21623968*p^23*q^138+11037302*p^21*q^140+972606*p^19*q ^142+24843*p^17*q^144+2764*p^15*q^146+5428*p^28*q^132+683748*p^26*q^134+ 12733521*p^24*q^136+19904526*p^22*q^138+4123038*p^20*q^140+225918*p^18*q^142+ 8288*p^16*q^144+44*p^14*q^146+44*p^29*q^130+70154*p^27*q^132+3420766*p^25*q^134 +19704684*p^23*q^136+11838320*p^21*q^138+1061878*p^19*q^140+40056*p^17*q^142+ 3588*p^15*q^144+72*p^30*q^128+3522*p^28*q^130+421290*p^26*q^132+10073096*p^24*q ^134+19853494*p^22*q^136+4780468*p^20*q^138+310712*p^18*q^140+4238*p^16*q^142+ 360*p^14*q^144+36*p^29*q^128+31740*p^27*q^130+2334979*p^25*q^132+17711598*p^23* q^134+12976912*p^21*q^136+1313204*p^19*q^138+50552*p^17*q^140+4668*p^15*q^142+ 876*p^28*q^128+283362*p^26*q^130+8211164*p^24*q^132+19417968*p^22*q^134+5326922 *p^20*q^136+313116*p^18*q^138+5384*p^16*q^140+528*p^14*q^142+342*p^29*q^126+ 21964*p^27*q^128+1604366*p^25*q^130+15677019*p^23*q^132+13236654*p^21*q^134+ 1617570*p^19*q^136+88928*p^17*q^138+1374*p^15*q^140+20*p^13*q^142+584*p^28*q^ 126+164542*p^26*q^128+6077124*p^24*q^130+18729547*p^22*q^132+6213932*p^20*q^134 +373168*p^18*q^136+7606*p^16*q^138+1676*p^14*q^140+108*p^29*q^124+9456*p^27*q^ 126+1047366*p^25*q^128+13623978*p^23*q^130+14154271*p^21*q^132+1879536*p^19*q^ 134+98364*p^17*q^136+448*p^15*q^138+24*p^13*q^140+884*p^28*q^124+99476*p^26*q^ 126+4571735*p^24*q^128+17550820*p^22*q^130+6818086*p^20*q^132+445850*p^18*q^134 +16776*p^16*q^136+900*p^14*q^138+5008*p^27*q^124+694658*p^25*q^126+11610283*p^ 23*q^128+14403502*p^21*q^130+2265419*p^19*q^132+110958*p^17*q^134+802*p^15*q^ 136+268*p^13*q^138+p^30*q^120+1006*p^28*q^122+60370*p^26*q^124+3233764*p^24*q^ 126+16315013*p^22*q^128+7484680*p^20*q^130+542442*p^18*q^132+26956*p^16*q^134+ 20*p^14*q^136+2796*p^27*q^122+406180*p^25*q^124+9265446*p^23*q^126+14939156*p^ 21*q^128+2733376*p^19*q^130+131102*p^17*q^132+1592*p^15*q^134+408*p^13*q^136+80 *p^28*q^120+30974*p^26*q^122+2301368*p^24*q^124+15258596*p^22*q^126+8140934*p^ 20*q^128+645118*p^18*q^130+28768*p^16*q^132+52*p^14*q^134+12*p^12*q^136+12*p^29 *q^118+3788*p^27*q^120+277422*p^25*q^122+7459595*p^23*q^124+14234248*p^21*q^126 +3104812*p^19*q^128+139154*p^17*q^130+5046*p^15*q^132+84*p^28*q^118+18015*p^26* q^120+1482874*p^24*q^122+13516386*p^22*q^124+9118862*p^20*q^126+853034*p^18*q^ 128+45826*p^16*q^130+56*p^14*q^132+92*p^12*q^134+1404*p^27*q^118+150669*p^25*q^ 120+5651122*p^23*q^122+14441722*p^21*q^124+3476780*p^19*q^126+156178*p^17*q^128 +4844*p^15*q^130+57*p^28*q^116+10484*p^26*q^118+1018949*p^24*q^120+11812538*p^ 22*q^122+9563634*p^20*q^124+1043320*p^18*q^126+42092*p^16*q^128+544*p^14*q^130+ 928*p^27*q^116+98310*p^25*q^118+4205200*p^23*q^120+13757574*p^21*q^122+4024977* p^19*q^124+202224*p^17*q^126+11851*p^15*q^128+8*p^11*q^132+18*p^28*q^114+8330*p ^26*q^116+615588*p^24*q^118+10026781*p^22*q^120+9882336*p^20*q^122+1240202*p^18 *q^124+42498*p^16*q^126+492*p^14*q^128+250*p^27*q^114+47214*p^25*q^116+2988854* p^23*q^118+13305873*p^21*q^120+4700206*p^19*q^122+277850*p^17*q^124+14548*p^15* q^126+24*p^13*q^128+5158*p^26*q^114+399011*p^24*q^116+8208802*p^22*q^118+ 10344561*p^20*q^120+1384378*p^18*q^122+40168*p^16*q^124+1576*p^14*q^126+165*p^ 27*q^112+32612*p^25*q^114+2063709*p^23*q^116+12184062*p^21*q^118+5148828*p^19*q ^120+367716*p^17*q^122+15380*p^15*q^124+36*p^13*q^126+2471*p^26*q^112+242286*p^ 24*q^114+6523285*p^22*q^116+10472088*p^20*q^118+1719370*p^18*q^120+55134*p^16*q ^122+3528*p^14*q^124+48*p^27*q^110+21144*p^25*q^112+1324664*p^23*q^114+11165549 *p^21*q^116+5728532*p^19*q^118+434544*p^17*q^120+12184*p^15*q^122+68*p^13*q^124 +682*p^26*q^110+131206*p^24*q^112+5074954*p^22*q^114+10666266*p^20*q^116+ 1995378*p^18*q^118+79386*p^16*q^120+4524*p^14*q^122+12*p^27*q^108+15606*p^25*q^ 110+930099*p^23*q^112+9673496*p^21*q^114+6110892*p^19*q^116+511154*p^17*q^118+ 8140*p^15*q^120+472*p^13*q^122+660*p^26*q^108+83100*p^24*q^110+3558273*p^22*q^ 112+10387938*p^20*q^114+2405111*p^18*q^116+124582*p^16*q^118+6052*p^14*q^120+ 4394*p^25*q^108+532434*p^23*q^110+8550767*p^21*q^112+6702276*p^19*q^114+611352* p^17*q^116+11332*p^15*q^118+674*p^13*q^120+150*p^26*q^106+61109*p^24*q^108+ 2632314*p^22*q^110+10107602*p^20*q^112+2663372*p^18*q^114+137370*p^16*q^116+ 1808*p^14*q^118+28*p^12*q^120+3726*p^25*q^106+333992*p^23*q^108+6798716*p^21*q^ 110+7008340*p^19*q^112+771898*p^17*q^114+24818*p^15*q^116+2088*p^13*q^118+18*p^ 26*q^104+30650*p^24*q^106+1766192*p^22*q^108+9477330*p^20*q^110+3177702*p^18*q^ 112+170264*p^16*q^114+1164*p^14*q^116+34*p^12*q^118+1524*p^25*q^104+207902*p^23 *q^106+5474577*p^21*q^108+7344512*p^19*q^110+895066*p^17*q^112+33938*p^15*q^114 +1104*p^13*q^116+15766*p^24*q^104+1150394*p^22*q^106+8845916*p^20*q^108+3483110 *p^18*q^110+213802*p^16*q^112+2590*p^14*q^114+336*p^12*q^116+394*p^25*q^102+ 138719*p^23*q^104+4172062*p^21*q^106+7494626*p^19*q^108+1106060*p^17*q^110+ 41056*p^15*q^112+72*p^13*q^114+12*p^26*q^100+10378*p^24*q^102+721684*p^22*q^104 +7671916*p^20*q^106+3908436*p^18*q^108+249748*p^16*q^110+6432*p^14*q^112+502*p^ 12*q^114+78*p^25*q^100+70854*p^23*q^102+3024487*p^21*q^104+7611342*p^19*q^106+ 1361946*p^17*q^108+60012*p^15*q^110+112*p^13*q^112+16*p^11*q^114+3228*p^24*q^ 100+477226*p^22*q^102+6761253*p^20*q^104+4263880*p^18*q^106+284154*p^16*q^108+ 6776*p^14*q^110+144*p^25*q^98+47012*p^23*q^100+2111540*p^21*q^102+7386972*p^19* q^104+1546966*p^17*q^106+69624*p^15*q^108+732*p^13*q^110+114*p^11*q^112+1582*p^ 24*q^98+284328*p^22*q^100+5419974*p^20*q^102+4683267*p^18*q^104+407392*p^16*q^ 106+14324*p^14*q^108+20018*p^23*q^98+1405384*p^21*q^100+7169800*p^19*q^102+ 1845492*p^17*q^104+68134*p^15*q^106+694*p^13*q^108+774*p^24*q^96+179992*p^22*q^ 98+4429104*p^20*q^100+4883646*p^18*q^102+471756*p^16*q^104+19598*p^14*q^106+32* p^12*q^108+10*p^10*q^110+12294*p^23*q^96+937294*p^21*q^98+6535138*p^19*q^100+ 2108752*p^17*q^102+88702*p^15*q^104+1944*p^13*q^106+238*p^24*q^94+96614*p^22*q^ 96+3200152*p^20*q^98+5236229*p^18*q^100+623440*p^16*q^102+21336*p^14*q^104+48*p ^12*q^106+4354*p^23*q^94+593691*p^21*q^96+5922238*p^19*q^98+2393569*p^17*q^100+ 110724*p^15*q^102+4302*p^13*q^104+24*p^24*q^92+56692*p^22*q^94+2388046*p^20*q^ 96+5287012*p^18*q^98+732804*p^16*q^100+19464*p^14*q^102+92*p^12*q^104+2426*p^23 *q^92+366550*p^21*q^94+5087188*p^19*q^96+2638622*p^17*q^98+161222*p^15*q^100+ 5904*p^13*q^102+12*p^24*q^90+29170*p^22*q^92+1614928*p^20*q^94+5263329*p^18*q^ 96+903012*p^16*q^98+19598*p^14*q^100+584*p^12*q^102+480*p^23*q^90+210090*p^21*q ^92+4154862*p^19*q^94+3060655*p^17*q^96+202976*p^15*q^98+7362*p^13*q^100+12438* p^22*q^90+1101448*p^20*q^92+5112098*p^18*q^94+1007569*p^16*q^96+29184*p^14*q^98 +856*p^12*q^100+294*p^23*q^88+139584*p^21*q^90+3264284*p^19*q^92+3205164*p^17*q ^94+268269*p^15*q^96+3612*p^13*q^98+36*p^11*q^100+5768*p^22*q^88+662402*p^20*q^ 90+4767384*p^18*q^92+1250902*p^16*q^94+45810*p^14*q^96+2480*p^12*q^98+12*p^23*q ^86+57901*p^21*q^88+2456920*p^19*q^90+3506642*p^17*q^92+326640*p^15*q^94+3136*p ^13*q^96+44*p^11*q^98+2620*p^22*q^86+466270*p^20*q^88+4268272*p^18*q^90+1416070 *p^16*q^92+58752*p^14*q^94+1420*p^12*q^96+34576*p^21*q^86+1683562*p^19*q^88+ 3550448*p^17*q^90+383178*p^15*q^92+8072*p^13*q^94+404*p^11*q^96+516*p^22*q^84+ 251450*p^20*q^86+3744327*p^18*q^88+1693294*p^16*q^90+92456*p^14*q^92+158*p^12*q ^94+12*p^23*q^82+15728*p^21*q^84+1168020*p^19*q^86+3612825*p^17*q^88+467138*p^ 15*q^90+8644*p^13*q^92+596*p^11*q^94+36*p^22*q^82+138920*p^20*q^84+2991010*p^18 *q^86+1910574*p^16*q^88+103348*p^14*q^90+868*p^12*q^92+20*p^10*q^94+6508*p^21*q ^82+803292*p^19*q^84+3519484*p^17*q^86+574764*p^15*q^88+19630*p^13*q^90+162*p^ 22*q^80+76374*p^20*q^82+2228470*p^18*q^84+2055930*p^16*q^86+128286*p^14*q^88+ 886*p^12*q^90+136*p^10*q^92+1098*p^21*q^80+459516*p^19*q^82+3460493*p^17*q^84+ 754714*p^15*q^86+26769*p^13*q^88+40*p^11*q^90+38321*p^20*q^80+1740928*p^18*q^82 +2190977*p^16*q^84+137964*p^14*q^86+2418*p^12*q^88+1104*p^21*q^78+283171*p^19*q ^80+2887494*p^17*q^82+873011*p^15*q^84+33996*p^13*q^86+60*p^11*q^88+12*p^9*q^90 +12*p^22*q^76+13388*p^20*q^78+1163228*p^18*q^80+2421564*p^16*q^82+212264*p^14*q ^84+5606*p^12*q^86+192*p^21*q^76+152434*p^19*q^78+2549955*p^17*q^80+998590*p^15 *q^82+29936*p^13*q^84+116*p^11*q^86+6110*p^20*q^76+800458*p^18*q^78+2445634*p^ 16*q^80+271504*p^14*q^82+7756*p^12*q^84+132*p^21*q^74+80520*p^19*q^76+1983950*p ^17*q^78+1130096*p^15*q^80+41098*p^13*q^82+740*p^11*q^84+2410*p^20*q^74+465982* p^18*q^76+2399076*p^16*q^78+355636*p^14*q^80+9690*p^12*q^82+32748*p^19*q^74+ 1572893*p^17*q^76+1303960*p^15*q^78+60170*p^13*q^80+1050*p^11*q^82+768*p^20*q^ 72+289904*p^18*q^74+2200898*p^16*q^76+411456*p^14*q^78+5846*p^12*q^80+44*p^10*q ^82+16298*p^19*q^72+1084506*p^17*q^74+1475358*p^15*q^76+88048*p^13*q^78+2978*p^ 11*q^80+294*p^20*q^70+149366*p^18*q^72+1938622*p^16*q^74+483822*p^14*q^76+9986* p^12*q^78+54*p^10*q^80+4*p^21*q^68+4786*p^19*q^70+716934*p^17*q^72+1566420*p^15 *q^74+126436*p^13*q^76+1632*p^11*q^78+75358*p^18*q^70+1702380*p^16*q^72+585436* p^14*q^74+12980*p^12*q^76+472*p^10*q^78+3090*p^19*q^68+464800*p^17*q^70+1518982 *p^15*q^72+145270*p^13*q^74+1078*p^11*q^76+44*p^20*q^66+29438*p^18*q^68+1230004 *p^16*q^70+761940*p^14*q^72+28470*p^12*q^74+690*p^10*q^76+200*p^19*q^66+258882* p^17*q^68+1603292*p^15*q^70+168240*p^13*q^72+1160*p^11*q^74+24*p^9*q^76+16362*p ^18*q^66+953560*p^16*q^68+780938*p^14*q^70+36704*p^12*q^72+48*p^10*q^74+260*p^ 19*q^64+133086*p^17*q^66+1389004*p^15*q^68+247948*p^13*q^70+3763*p^11*q^72+158* p^9*q^74+4396*p^18*q^64+626968*p^16*q^66+939445*p^14*q^68+44058*p^12*q^70+72*p^ 10*q^72+68*p^19*q^62+64070*p^17*q^64+1231884*p^15*q^66+290491*p^13*q^68+6984*p^ 11*q^70+1262*p^18*q^62+392052*p^16*q^64+979236*p^14*q^66+56788*p^12*q^68+210*p^ 10*q^70+14*p^8*q^72+31816*p^17*q^62+997526*p^15*q^64+358652*p^13*q^66+9726*p^11 *q^68+758*p^18*q^60+208126*p^16*q^62+988265*p^14*q^64+79602*p^12*q^66+876*p^10* q^68+7626*p^17*q^60+739916*p^15*q^62+463294*p^13*q^64+13160*p^11*q^66+24*p^18*q ^58+124846*p^16*q^60+956548*p^14*q^62+92193*p^12*q^64+1258*p^10*q^66+4624*p^17* q^58+482508*p^15*q^60+494444*p^13*q^62+16090*p^11*q^64+52*p^9*q^66+30*p^18*q^56 +44568*p^16*q^58+868386*p^14*q^60+153928*p^12*q^62+3420*p^10*q^64+736*p^17*q^56 +315028*p^15*q^58+576796*p^13*q^60+15970*p^11*q^62+64*p^9*q^64+21267*p^16*q^56+ 712938*p^14*q^58+173612*p^12*q^60+3066*p^10*q^62+348*p^17*q^54+168584*p^15*q^56 +589980*p^13*q^58+33688*p^11*q^60+540*p^9*q^62+6762*p^16*q^54+520218*p^14*q^56+ 230548*p^12*q^58+1890*p^10*q^60+30*p^17*q^52+79182*p^15*q^54+634255*p^13*q^56+ 46744*p^11*q^58+840*p^9*q^60+2058*p^16*q^52+371466*p^14*q^54+252360*p^12*q^56+ 4202*p^10*q^58+28*p^8*q^60+35344*p^15*q^52+549678*p^13*q^54+65824*p^11*q^56+132 *p^9*q^58+692*p^16*q^50+211683*p^14*q^52+320766*p^12*q^54+9138*p^10*q^56+180*p^ 8*q^58+10062*p^15*q^50+476074*p^13*q^52+81302*p^11*q^54+210*p^9*q^56+121088*p^ 14*q^50+364158*p^12*q^52+13010*p^10*q^54+5315*p^15*q^48+345834*p^13*q^50+95437* p^11*q^52+1102*p^9*q^54+16*p^7*q^56+20*p^16*q^46+42431*p^14*q^48+364374*p^12*q^ 50+23122*p^10*q^52+436*p^15*q^46+255855*p^13*q^48+143818*p^11*q^50+1484*p^9*q^ 52+22066*p^14*q^46+330778*p^12*q^48+19032*p^10*q^50+60*p^8*q^52+240*p^15*q^44+ 127814*p^13*q^46+178528*p^11*q^48+5258*p^9*q^50+5670*p^14*q^44+301802*p^12*q^46 +34288*p^10*q^48+74*p^8*q^50+62809*p^13*q^44+191216*p^11*q^46+3761*p^9*q^48+ 1368*p^14*q^42+227607*p^12*q^44+54562*p^10*q^46+692*p^8*q^48+p^15*q^40+28924*p^ 13*q^42+197222*p^11*q^44+4904*p^9*q^46+260*p^14*q^40+127416*p^12*q^42+73834*p^ 10*q^44+992*p^8*q^46+6680*p^13*q^40+216820*p^11*q^42+10110*p^9*q^44+32*p^7*q^46 +10*p^14*q^38+78480*p^12*q^40+78176*p^10*q^42+312*p^8*q^44+2600*p^13*q^38+ 160760*p^11*q^40+18582*p^9*q^42+202*p^7*q^44+26978*p^12*q^38+111497*p^10*q^40+ 1168*p^8*q^42+110*p^13*q^36+123600*p^11*q^38+23114*p^9*q^40+11528*p^12*q^36+ 111944*p^10*q^38+2564*p^8*q^40+18*p^6*q^42+30*p^13*q^34+66276*p^11*q^36+32552*p ^9*q^38+68*p^7*q^40+1790*p^12*q^34+112490*p^10*q^36+5600*p^8*q^38+31332*p^11*q^ 34+44530*p^9*q^36+140*p^7*q^38+275*p^12*q^32+87530*p^10*q^34+6087*p^8*q^36+ 10590*p^11*q^32+55586*p^9*q^34+806*p^7*q^36+20*p^12*q^30+53198*p^10*q^32+10860* p^8*q^34+1522*p^11*q^30+64486*p^9*q^32+1174*p^7*q^34+29640*p^10*q^30+14694*p^8* q^32+36*p^6*q^34+330*p^11*q^28+49294*p^9*q^30+1521*p^7*q^32+6730*p^10*q^28+ 27418*p^8*q^30+224*p^6*q^32+43088*p^9*q^28+2026*p^7*q^30+1840*p^10*q^26+25306*p ^8*q^28+98*p^6*q^30+17866*p^9*q^26+6806*p^7*q^28+20*p^5*q^30+105*p^10*q^24+ 30852*p^8*q^26+134*p^6*q^28+5584*p^9*q^24+8076*p^7*q^26+24524*p^8*q^24+860*p^6* q^26+980*p^9*q^22+10814*p^7*q^24+10318*p^8*q^22+1910*p^6*q^24+7*p^9*q^20+16422* p^7*q^22+40*p^5*q^24+3500*p^8*q^20+1714*p^6*q^22+10752*p^7*q^20+310*p^5*q^22+ 182*p^8*q^18+5562*p^6*q^20+6184*p^7*q^18+82*p^5*q^20+5820*p^6*q^18+22*p^4*q^20+ 966*p^7*q^16+930*p^5*q^18+5527*p^6*q^16+8*p^7*q^14+1700*p^5*q^16+2100*p^6*q^14+ 56*p^4*q^16+2380*p^5*q^14+84*p^6*q^12+290*p^4*q^14+2175*p^5*q^12+440*p^4*q^12+ 252*p^5*q^10+24*p^3*q^12+1122*p^4*q^10+24*p^3*q^10+330*p^4*q^8+277*p^3*q^8+220* p^3*q^6+26*p^2*q^6+78*p^2*q^4+14*p*q^2+1 J[16](p, q), equals p^120*q^1360+15*p^119*q^1358+91*p^118*q^1356+28*p^118*q^1354+286*p^117*q^1354+ 326*p^117*q^1352+495*p^116*q^1352+26*p^117*q^1350+1476*p^116*q^1350+26*p^117*q^ 1348+462*p^115*q^1350+528*p^116*q^1348+3300*p^115*q^1348+340*p^116*q^1346+210*p ^114*q^1348+3234*p^115*q^1346+61*p^116*q^1344+3840*p^114*q^1346+2178*p^115*q^ 1344+36*p^113*q^1346+8766*p^114*q^1344+1121*p^115*q^1342+2268*p^113*q^1344+24*p ^116*q^1340+8440*p^114*q^1342+p^112*q^1344+90*p^115*q^1340+11835*p^113*q^1342+ 7484*p^114*q^1340+616*p^112*q^1342+362*p^115*q^1338+18588*p^113*q^1340+2124*p^ 114*q^1338+8316*p^112*q^1340+44*p^115*q^1336+25325*p^113*q^1338+56*p^111*q^1340 +2420*p^114*q^1336+22168*p^112*q^1338+15386*p^113*q^1336+3038*p^111*q^1338+1032 *p^114*q^1334+45725*p^112*q^1336+11144*p^113*q^1334+14834*p^111*q^1336+148*p^ 114*q^1332+51454*p^112*q^1334+504*p^110*q^1336+22*p^115*q^1330+8982*p^113*q^ 1332+42868*p^111*q^1334+108*p^114*q^1330+39604*p^112*q^1332+5992*p^110*q^1334+ 2506*p^113*q^1330+87724*p^111*q^1332+21*p^109*q^1334+268*p^114*q^1328+40600*p^ 112*q^1330+21401*p^110*q^1332+1826*p^113*q^1328+92336*p^111*q^1330+1400*p^109*q ^1332+40*p^114*q^1326+20361*p^112*q^1328+76516*p^110*q^1330+1515*p^113*q^1326+ 110986*p^111*q^1328+6389*p^109*q^1330+14438*p^112*q^1326+124796*p^110*q^1328+ 140*p^108*q^1330+972*p^113*q^1324+88778*p^111*q^1326+35306*p^109*q^1328+8187*p^ 112*q^1324+184248*p^110*q^1326+1397*p^108*q^1328+156*p^113*q^1322+67062*p^111*q ^1324+93266*p^109*q^1326+7394*p^112*q^1322+215915*p^110*q^1324+8450*p^108*q^ 1326+76*p^113*q^1320+46964*p^111*q^1322+178636*p^109*q^1324+225*p^107*q^1326+20 *p^114*q^1318+3138*p^112*q^1320+198112*p^110*q^1322+41854*p^108*q^1324+33332*p^ 111*q^1320+296726*p^109*q^1322+930*p^107*q^1324+1416*p^112*q^1318+183798*p^110* q^1320+96764*p^108*q^1322+15*p^106*q^1324+244*p^113*q^1316+25402*p^111*q^1318+ 354004*p^109*q^1320+11510*p^107*q^1322+350*p^112*q^1316+124384*p^110*q^1318+ 237376*p^108*q^1320+60*p^106*q^1322+36*p^113*q^1314+13304*p^111*q^1316+429069*p ^109*q^1318+32240*p^107*q^1320+1304*p^112*q^1314+113638*p^110*q^1316+364078*p^ 108*q^1318+1650*p^106*q^1320+6138*p^111*q^1314+365624*p^109*q^1316+109672*p^107 *q^1318+6*p^105*q^1320+846*p^112*q^1312+79538*p^110*q^1314+573481*p^108*q^1316+ 7820*p^106*q^1318+5112*p^111*q^1312+337168*p^109*q^1314+228942*p^107*q^1316+70* p^105*q^1318+84*p^112*q^1310+47962*p^110*q^1312+687350*p^108*q^1314+29509*p^106 *q^1316+6959*p^111*q^1310+299256*p^109*q^1312+427934*p^107*q^1314+1470*p^105*q^ 1316+68*p^112*q^1308+26310*p^110*q^1310+701035*p^108*q^1312+93836*p^106*q^1314+ 1856*p^111*q^1308+226704*p^109*q^1310+745810*p^107*q^1312+4288*p^105*q^1314+ 32874*p^110*q^1308+727058*p^108*q^1310+192120*p^106*q^1312+140*p^104*q^1314+18* p^113*q^1304+1345*p^111*q^1306+144872*p^109*q^1308+930530*p^107*q^1310+26812*p^ 105*q^1312+17716*p^110*q^1306+676086*p^108*q^1308+456864*p^106*q^1310+380*p^104 *q^1312+240*p^111*q^1304+123718*p^109*q^1306+1171830*p^107*q^1308+56172*p^105*q ^1310+220*p^112*q^1302+12030*p^110*q^1304+558542*p^108*q^1306+747501*p^106*q^ 1308+4916*p^104*q^1310+150*p^111*q^1302+97970*p^109*q^1304+1265008*p^107*q^1306 +172090*p^105*q^1308+55*p^103*q^1310+32*p^112*q^1300+5272*p^110*q^1302+426067*p ^108*q^1304+1163108*p^106*q^1306+12346*p^104*q^1308+1126*p^111*q^1300+67266*p^ 109*q^1302+1336608*p^107*q^1304+362885*p^105*q^1306+420*p^103*q^1308+2316*p^110 *q^1300+378292*p^108*q^1302+1528270*p^106*q^1304+41336*p^104*q^1306+5*p^102*q^ 1308+676*p^111*q^1298+46634*p^109*q^1300+1169740*p^107*q^1302+697350*p^105*q^ 1304+2482*p^103*q^1306+4264*p^110*q^1298+278096*p^108*q^1300+1917390*p^106*q^ 1302+119860*p^104*q^1304+74*p^111*q^1296+21272*p^109*q^1298+1083750*p^107*q^ 1300+1162764*p^105*q^1302+5466*p^103*q^1304+4726*p^110*q^1296+236924*p^108*q^ 1298+2144450*p^106*q^1300+253084*p^104*q^1302+390*p^102*q^1304+60*p^111*q^1294+ 21910*p^109*q^1296+896457*p^107*q^1298+1700326*p^105*q^1300+29819*p^103*q^1302+ 1600*p^110*q^1294+136344*p^108*q^1296+2190438*p^106*q^1298+575254*p^104*q^1300+ 288*p^102*q^1302+19411*p^109*q^1294+809794*p^107*q^1296+2369432*p^105*q^1298+ 60698*p^103*q^1300+30*p^101*q^1302+1094*p^110*q^1292+115300*p^108*q^1294+ 2126074*p^106*q^1296+941922*p^104*q^1298+5023*p^102*q^1300+13522*p^109*q^1292+ 600568*p^107*q^1294+2930138*p^105*q^1296+186528*p^103*q^1298+16*p^112*q^1288+ 244*p^110*q^1290+83811*p^108*q^1292+1999032*p^106*q^1294+1625875*p^104*q^1296+ 11584*p^102*q^1298+9418*p^109*q^1290+470740*p^107*q^1292+3335708*p^105*q^1294+ 360536*p^103*q^1296+438*p^101*q^1298+84*p^110*q^1288+65724*p^108*q^1290+1824372 *p^106*q^1292+2403718*p^104*q^1294+38412*p^102*q^1296+196*p^111*q^1286+4822*p^ 109*q^1288+388860*p^107*q^1290+3520732*p^105*q^1292+704770*p^103*q^1294+2100*p^ 101*q^1296+56*p^110*q^1286+53274*p^108*q^1288+1462794*p^106*q^1290+3362959*p^ 104*q^1292+106930*p^102*q^1294+10*p^100*q^1296+28*p^111*q^1284+1442*p^109*q^ 1286+264246*p^107*q^1288+3748984*p^105*q^1290+1263426*p^103*q^1292+4374*p^101*q ^1294+948*p^110*q^1284+39896*p^108*q^1286+1361588*p^106*q^1288+4057510*p^104*q^ 1290+205756*p^102*q^1292+288*p^100*q^1294+1336*p^109*q^1284+227062*p^107*q^1286 +3390662*p^105*q^1288+2107803*p^103*q^1290+24576*p^101*q^1292+600*p^110*q^1282+ 17274*p^108*q^1284+1005092*p^106*q^1286+5099262*p^104*q^1288+449782*p^102*q^ 1290+264*p^100*q^1292+2494*p^109*q^1282+193720*p^107*q^1284+3327043*p^105*q^ 1286+3071544*p^103*q^1288+44382*p^101*q^1290+20*p^99*q^1292+64*p^110*q^1280+ 13356*p^108*q^1282+821086*p^106*q^1284+5399630*p^104*q^1286+860788*p^102*q^1288 +3624*p^100*q^1290+4180*p^109*q^1280+128222*p^107*q^1282+2961012*p^105*q^1284+ 4324167*p^103*q^1286+120394*p^101*q^1288+8*p^99*q^1290+52*p^110*q^1278+8332*p^ 108*q^1280+691902*p^106*q^1282+5759743*p^104*q^1284+1525460*p^102*q^1286+8151*p ^100*q^1288+1362*p^109*q^1278+86438*p^107*q^1280+2501150*p^105*q^1282+5716190*p ^103*q^1284+238668*p^101*q^1286+284*p^99*q^1288+14904*p^108*q^1278+577773*p^106 *q^1280+5910366*p^104*q^1282+2404928*p^102*q^1284+24376*p^100*q^1286+944*p^109* q^1276+57767*p^107*q^1278+2120646*p^105*q^1280+6679230*p^103*q^1282+521502*p^ 101*q^1284+1410*p^99*q^1286+11092*p^108*q^1276+426410*p^106*q^1278+5657490*p^ 104*q^1280+3822968*p^102*q^1282+54200*p^100*q^1284+16*p^98*q^1286+140*p^109*q^ 1274+45788*p^107*q^1276+1829573*p^105*q^1278+7989478*p^103*q^1280+919173*p^101* q^1282+2850*p^99*q^1284+7776*p^108*q^1274+324618*p^106*q^1276+5294564*p^104*q^ 1278+5192749*p^102*q^1280+118718*p^100*q^1282+166*p^98*q^1284+14*p^111*q^1270+ 72*p^109*q^1272+51858*p^107*q^1274+1547522*p^105*q^1276+8507386*p^103*q^1278+ 1703714*p^101*q^1280+12826*p^99*q^1282+3184*p^108*q^1272+208006*p^106*q^1274+ 4637808*p^104*q^1276+7077826*p^102*q^1278+263350*p^100*q^1280+96*p^98*q^1282+48 *p^109*q^1270+40398*p^107*q^1272+1290775*p^105*q^1274+9390100*p^103*q^1276+ 2659960*p^101*q^1278+17822*p^99*q^1280+12*p^97*q^1282+172*p^110*q^1268+1140*p^ 108*q^1270+199470*p^106*q^1272+4211932*p^104*q^1274+8599076*p^102*q^1276+528970 *p^100*q^1278+2472*p^98*q^1280+28260*p^107*q^1270+948284*p^105*q^1272+9012403*p ^103*q^1274+4251830*p^101*q^1276+55947*p^99*q^1278+24*p^110*q^1266+1106*p^108*q ^1268+163316*p^106*q^1270+3768088*p^104*q^1272+10630466*p^102*q^1274+964417*p^ 100*q^1276+2868*p^98*q^1278+p^96*q^1280+834*p^109*q^1266+11864*p^107*q^1268+ 761136*p^105*q^1270+8836758*p^103*q^1272+5842415*p^101*q^1274+122096*p^99*q^ 1276+228*p^97*q^1278+192*p^108*q^1266+144080*p^106*q^1268+3199336*p^104*q^1270+ 12246822*p^102*q^1272+1693836*p^100*q^1274+7220*p^98*q^1276+524*p^109*q^1264+ 11050*p^107*q^1266+627344*p^105*q^1268+8315875*p^103*q^1270+7959132*p^101*q^ 1272+264271*p^99*q^1274+756*p^97*q^1276+2206*p^108*q^1264+87324*p^106*q^1266+ 2588170*p^104*q^1268+13074390*p^102*q^1270+2891152*p^100*q^1272+22698*p^98*q^ 1274+54*p^109*q^1262+4124*p^107*q^1264+536220*p^105*q^1266+7855662*p^103*q^1268 +10653898*p^101*q^1270+467514*p^99*q^1272+352*p^97*q^1274+3566*p^108*q^1262+ 67476*p^106*q^1264+2227010*p^104*q^1266+13806713*p^102*q^1268+4062362*p^100*q^ 1270+53892*p^98*q^1272+144*p^96*q^1274+44*p^109*q^1260+5503*p^107*q^1262+431032 *p^105*q^1264+6873982*p^103*q^1266+13088954*p^101*q^1268+1020484*p^99*q^1270+ 3240*p^97*q^1272+1140*p^108*q^1260+41540*p^106*q^1262+1773436*p^104*q^1264+ 14000116*p^102*q^1266+6291906*p^100*q^1268+103100*p^98*q^1270+11816*p^107*q^ 1260+320987*p^105*q^1262+6297706*p^103*q^1264+15518986*p^101*q^1266+1558784*p^ 99*q^1268+7582*p^97*q^1270+12*p^95*q^1272+768*p^108*q^1258+27888*p^106*q^1260+ 1567808*p^104*q^1262+13720712*p^102*q^1264+8583610*p^100*q^1266+247572*p^98*q^ 1268+252*p^96*q^1270+8776*p^107*q^1258+249010*p^105*q^1260+5246609*p^103*q^1262 +17763644*p^101*q^1264+2636698*p^99*q^1266+20956*p^97*q^1268+116*p^108*q^1256+ 31496*p^106*q^1258+1247192*p^104*q^1260+13153106*p^102*q^1262+11754184*p^100*q^ 1264+462598*p^98*q^1266+756*p^96*q^1268+6132*p^107*q^1256+166175*p^105*q^1258+ 4640102*p^103*q^1260+19374778*p^101*q^1262+4060382*p^99*q^1264+40887*p^97*q^ 1266+60*p^108*q^1254+34896*p^106*q^1256+1044542*p^104*q^1258+12423068*p^102*q^ 1260+14772558*p^100*q^1262+823538*p^98*q^1264+3248*p^96*q^1266+2630*p^107*q^ 1254+134560*p^105*q^1256+3979392*p^103*q^1258+20269508*p^101*q^1260+6026444*p^ 99*q^1262+106486*p^97*q^1264+78*p^95*q^1266+12*p^110*q^1250+40*p^108*q^1252+ 30618*p^106*q^1254+777302*p^104*q^1256+11084102*p^102*q^1258+18838623*p^100*q^ 1260+1471672*p^98*q^1262+6282*p^96*q^1264+932*p^107*q^1252+111768*p^105*q^1254+ 3398686*p^103*q^1256+21125795*p^101*q^1258+8539452*p^99*q^1260+186646*p^97*q^ 1262+240*p^95*q^1264+21432*p^106*q^1252+649134*p^104*q^1254+10284104*p^102*q^ 1256+21583406*p^100*q^1258+2297703*p^98*q^1260+16580*p^96*q^1262+6*p^94*q^1264+ 148*p^109*q^1248+962*p^107*q^1250+114274*p^105*q^1252+2800819*p^103*q^1254+ 20611274*p^101*q^1256+11913992*p^99*q^1258+425732*p^97*q^1260+1236*p^95*q^1262+ 9572*p^106*q^1250+454952*p^104*q^1252+9001016*p^102*q^1254+25335439*p^100*q^ 1256+3657606*p^98*q^1258+31002*p^96*q^1260+20*p^109*q^1246+144*p^107*q^1248+ 98552*p^105*q^1250+2411616*p^103*q^1252+20243087*p^101*q^1254+15864572*p^99*q^ 1256+669135*p^97*q^1258+1374*p^95*q^1260+720*p^108*q^1246+9116*p^106*q^1248+ 408984*p^104*q^1250+7998053*p^102*q^1252+27238106*p^100*q^1254+5344388*p^98*q^ 1256+94226*p^96*q^1258+186*p^94*q^1260+92*p^107*q^1246+64076*p^105*q^1248+ 1899914*p^103*q^1250+19091916*p^101*q^1252+20247774*p^99*q^1254+1257346*p^97*q^ 1256+4042*p^95*q^1258+448*p^108*q^1244+3520*p^106*q^1246+358174*p^104*q^1248+ 6946834*p^102*q^1250+29514417*p^100*q^1252+7951720*p^98*q^1254+158836*p^96*q^ 1256+36*p^94*q^1258+1792*p^107*q^1244+51827*p^105*q^1246+1521224*p^103*q^1248+ 17901428*p^101*q^1250+25140392*p^99*q^1252+1900198*p^97*q^1254+13608*p^95*q^ 1256+12*p^93*q^1258+44*p^108*q^1242+1596*p^106*q^1244+286724*p^104*q^1246+ 6173040*p^102*q^1248+30129490*p^100*q^1250+11247327*p^98*q^1252+316010*p^96*q^ 1254+348*p^94*q^1256+3076*p^107*q^1242+36192*p^105*q^1244+1305722*p^103*q^1246+ 16380584*p^101*q^1248+29336883*p^99*q^1250+2985764*p^97*q^1252+34888*p^95*q^ 1254+36*p^108*q^1240+3136*p^106*q^1242+227045*p^104*q^1244+5020490*p^102*q^1246 +30557462*p^100*q^1248+15604866*p^98*q^1250+604398*p^96*q^1252+1204*p^94*q^1254 +928*p^107*q^1240+16302*p^105*q^1242+1049296*p^103*q^1244+15088433*p^101*q^1246 +34577964*p^99*q^1248+4484956*p^97*q^1250+51092*p^95*q^1252+18*p^93*q^1254+ 10006*p^106*q^1240+200036*p^104*q^1242+4434252*p^102*q^1244+30025990*p^100*q^ 1246+20134840*p^98*q^1248+908688*p^96*q^1250+5857*p^94*q^1252+644*p^107*q^1238+ 12272*p^105*q^1240+879866*p^103*q^1242+13366732*p^101*q^1244+37073922*p^99*q^ 1246+7030404*p^97*q^1248+155676*p^95*q^1250+60*p^93*q^1252+6976*p^106*q^1238+ 120840*p^104*q^1240+3592030*p^102*q^1242+29167363*p^100*q^1244+26595362*p^98*q^ 1246+1456758*p^96*q^1248+6620*p^94*q^1250+92*p^107*q^1236+21536*p^105*q^1238+ 756062*p^103*q^1240+12117542*p^101*q^1242+40897684*p^99*q^1244+9653031*p^97*q^ 1246+239898*p^95*q^1248+540*p^93*q^1250+5170*p^106*q^1236+83494*p^104*q^1238+ 3075738*p^102*q^1240+27499686*p^100*q^1242+32144791*p^98*q^1244+2375956*p^96*q^ 1246+26298*p^94*q^1248+48*p^107*q^1234+26364*p^105*q^1236+613953*p^103*q^1238+ 10545190*p^101*q^1240+42262734*p^99*q^1242+14084328*p^97*q^1244+422864*p^95*q^ 1246+1084*p^93*q^1248+2200*p^106*q^1234+65414*p^104*q^1236+2501846*p^102*q^1238 +26081356*p^100*q^1240+38257218*p^98*q^1242+3634680*p^96*q^1244+53136*p^94*q^ 1246+24*p^92*q^1248+32*p^107*q^1232+23854*p^105*q^1234+448010*p^103*q^1236+ 9263049*p^101*q^1238+43728856*p^99*q^1240+19141130*p^97*q^1242+657228*p^95*q^ 1244+2497*p^93*q^1246+712*p^106*q^1232+73868*p^104*q^1234+2239476*p^102*q^1236+ 24118640*p^100*q^1238+44576552*p^98*q^1240+5349352*p^96*q^1242+101866*p^94*q^ 1244+108*p^92*q^1246+10*p^109*q^1228+18184*p^105*q^1232+326360*p^103*q^1234+ 7817852*p^101*q^1236+43076920*p^99*q^1238+25155208*p^97*q^1240+1131273*p^95*q^ 1242+9420*p^93*q^1244+756*p^106*q^1230+75541*p^104*q^1232+1828920*p^102*q^1234+ 22279476*p^100*q^1236+49623548*p^98*q^1238+8318710*p^96*q^1240+174086*p^94*q^ 1242+261*p^92*q^1244+7142*p^105*q^1230+259062*p^103*q^1232+6689784*p^101*q^1234 +43213430*p^99*q^1236+32072982*p^97*q^1238+1658496*p^95*q^1240+15934*p^93*q^ 1242+124*p^108*q^1226+80*p^106*q^1228+78770*p^104*q^1230+1465871*p^102*q^1232+ 20423238*p^100*q^1234+54159378*p^98*q^1236+11538740*p^96*q^1238+292674*p^94*q^ 1240+1050*p^92*q^1242+7432*p^105*q^1228+238772*p^103*q^1230+5937752*p^101*q^ 1232+40918610*p^99*q^1234+39927684*p^97*q^1236+2771688*p^95*q^1238+45024*p^93*q ^1240+48*p^91*q^1242+16*p^108*q^1224+72*p^106*q^1226+46508*p^104*q^1228+1097928 *p^102*q^1230+17631546*p^100*q^1232+57692124*p^98*q^1234+16641577*p^96*q^1236+ 466560*p^94*q^1238+1230*p^92*q^1240+606*p^107*q^1224+2298*p^105*q^1226+240004*p ^103*q^1228+5103795*p^101*q^1230+40916900*p^99*q^1232+47499015*p^97*q^1234+ 4037392*p^95*q^1236+62464*p^93*q^1238+48*p^91*q^1240+28*p^106*q^1224+42664*p^ 104*q^1226+918992*p^102*q^1228+15884238*p^100*q^1230+59158630*p^98*q^1232+ 22082830*p^96*q^1234+766085*p^94*q^1236+8940*p^92*q^1238+4*p^90*q^1240+372*p^ 107*q^1222+1204*p^105*q^1224+198360*p^103*q^1226+4154456*p^101*q^1228+37651897* p^99*q^1230+56240744*p^97*q^1232+6347245*p^95*q^1234+121642*p^93*q^1236+48*p^91 *q^1238+1512*p^106*q^1222+25344*p^104*q^1224+778848*p^102*q^1226+14205863*p^100 *q^1228+60637812*p^98*q^1230+29579995*p^96*q^1232+1181348*p^94*q^1234+12234*p^ 92*q^1236+34*p^107*q^1220+670*p^105*q^1222+170380*p^103*q^1224+3395867*p^101*q^ 1226+35354710*p^99*q^1228+62884870*p^97*q^1230+9158458*p^95*q^1232+192479*p^93* q^1234+860*p^91*q^1236+2558*p^106*q^1220+11784*p^104*q^1222+678888*p^102*q^1224 +12591194*p^100*q^1226+61849021*p^98*q^1228+37447380*p^96*q^1230+1875945*p^94*q ^1232+24558*p^92*q^1234+28*p^107*q^1218+2506*p^105*q^1220+146700*p^103*q^1222+ 2885424*p^101*q^1224+32180158*p^99*q^1226+69055206*p^97*q^1228+13100730*p^95*q^ 1230+318746*p^93*q^1232+2742*p^91*q^1234+760*p^106*q^1218+8270*p^104*q^1220+ 575398*p^102*q^1222+10611808*p^100*q^1224+60566430*p^98*q^1226+47864616*p^96*q^ 1228+3046498*p^94*q^1230+47795*p^92*q^1232+12*p^90*q^1234+8054*p^105*q^1218+ 81596*p^103*q^1220+2345190*p^101*q^1222+30321708*p^99*q^1224+74667932*p^97*q^ 1226+18162668*p^95*q^1228+450698*p^93*q^1230+2744*p^91*q^1232+520*p^106*q^1216+ 6916*p^104*q^1218+560132*p^102*q^1220+9329574*p^100*q^1222+59407445*p^98*q^1224 +56311798*p^96*q^1226+4446052*p^94*q^1228+80502*p^92*q^1230+474*p^90*q^1232+ 5754*p^105*q^1216+63986*p^103*q^1218+1946498*p^101*q^1220+26922153*p^99*q^1222+ 79063642*p^97*q^1224+24929513*p^95*q^1226+858494*p^93*q^1228+10153*p^91*q^1230+ 68*p^106*q^1214+15648*p^104*q^1216+393284*p^102*q^1218+7861494*p^100*q^1220+ 56728906*p^98*q^1222+67734395*p^96*q^1224+6731950*p^94*q^1226+105674*p^92*q^ 1228+90*p^90*q^1230+4216*p^105*q^1214+39658*p^103*q^1216+1808284*p^101*q^1218+ 24451194*p^99*q^1220+82580301*p^97*q^1222+32925638*p^95*q^1224+1222958*p^93*q^ 1226+18652*p^91*q^1228+36*p^89*q^1230+36*p^106*q^1212+20400*p^104*q^1214+327214 *p^102*q^1216+6543274*p^100*q^1218+54917246*p^98*q^1220+75306218*p^96*q^1222+ 9774305*p^94*q^1224+197980*p^92*q^1226+1371*p^90*q^1228+1740*p^105*q^1212+40950 *p^103*q^1214+1478440*p^101*q^1216+21842068*p^99*q^1218+83781194*p^97*q^1220+ 42887016*p^95*q^1222+2034902*p^93*q^1224+28636*p^91*q^1226+24*p^106*q^1210+ 19082*p^104*q^1212+224706*p^102*q^1214+5673660*p^100*q^1216+50854382*p^98*q^ 1218+86384711*p^96*q^1220+13814764*p^94*q^1222+309379*p^92*q^1224+3536*p^90*q^ 1226+528*p^105*q^1210+48180*p^103*q^1212+1233548*p^101*q^1214+19144196*p^99*q^ 1216+85165789*p^97*q^1218+53396690*p^95*q^1220+3100138*p^93*q^1222+37484*p^91*q ^1224+69*p^89*q^1226+14240*p^104*q^1210+182802*p^102*q^1212+4951424*p^100*q^ 1214+48485168*p^98*q^1216+92777254*p^96*q^1218+19419739*p^94*q^1220+491414*p^92 *q^1222+7336*p^90*q^1224+564*p^105*q^1208+54294*p^103*q^1210+1007426*p^101*q^ 1212+16507386*p^99*q^1214+84469842*p^97*q^1216+64442010*p^95*q^1218+4638876*p^ 93*q^1220+76294*p^91*q^1222+504*p^89*q^1224+8*p^108*q^1204+5874*p^104*q^1208+ 156212*p^102*q^1210+4085690*p^100*q^1212+44231972*p^98*q^1214+101250877*p^96*q^ 1216+26928042*p^94*q^1218+847531*p^92*q^1220+8518*p^90*q^1222+56*p^105*q^1206+ 57994*p^103*q^1208+769401*p^101*q^1210+14754676*p^99*q^1212+83033122*p^97*q^ 1214+77702108*p^95*q^1216+6599554*p^93*q^1218+98150*p^91*q^1220+1148*p^89*q^ 1222+5488*p^104*q^1206+139200*p^102*q^1208+3610054*p^100*q^1210+40793234*p^98*q ^1212+105911930*p^96*q^1214+35126806*p^94*q^1216+1300362*p^92*q^1218+15240*p^90 *q^1220+42*p^88*q^1222+100*p^107*q^1202+52*p^105*q^1204+38458*p^103*q^1206+ 677206*p^101*q^1208+12560935*p^99*q^1210+80922226*p^97*q^1212+88204557*p^95*q^ 1214+10184596*p^93*q^1216+201571*p^91*q^1218+2744*p^89*q^1220+1770*p^104*q^1204 +154116*p^102*q^1206+2805612*p^100*q^1208+36564334*p^98*q^1210+111509046*p^96*q ^1212+46229448*p^94*q^1214+1959407*p^92*q^1216+19972*p^90*q^1218+66*p^88*q^1220 +12*p^107*q^1200+20*p^105*q^1202+31398*p^103*q^1204+511260*p^101*q^1206+ 11167956*p^99*q^1208+78144390*p^97*q^1210+101626850*p^95*q^1212+13899052*p^93*q ^1214+300204*p^91*q^1216+2499*p^89*q^1218+492*p^106*q^1200+852*p^104*q^1202+ 144886*p^102*q^1204+2524460*p^100*q^1206+33262017*p^98*q^1208+112960784*p^96*q^ 1210+57609395*p^94*q^1212+3010678*p^92*q^1214+41918*p^90*q^1216+634*p^88*q^1218 +20*p^105*q^1200+19618*p^103*q^1202+440688*p^101*q^1204+9234934*p^99*q^1206+ 74302970*p^97*q^1208+111791914*p^95*q^1210+20234852*p^93*q^1212+528949*p^91*q^ 1214+3972*p^89*q^1216+296*p^106*q^1198+486*p^104*q^1200+125896*p^102*q^1202+ 2030318*p^100*q^1204+29685802*p^98*q^1206+116386529*p^96*q^1208+70713952*p^94*q ^1210+4414708*p^92*q^1212+60356*p^90*q^1214+621*p^88*q^1216+1212*p^105*q^1198+ 8848*p^103*q^1200+412982*p^101*q^1202+8045300*p^99*q^1204+69551512*p^97*q^1206+ 123197174*p^95*q^1208+27225245*p^93*q^1210+785812*p^91*q^1212+7714*p^89*q^1214+ 60*p^87*q^1216+24*p^106*q^1196+440*p^104*q^1198+106596*p^102*q^1200+1662408*p^ 100*q^1202+26430280*p^98*q^1204+116235506*p^96*q^1206+85082336*p^94*q^1208+ 6572636*p^92*q^1210+108969*p^90*q^1212+592*p^88*q^1214+2076*p^105*q^1196+6103*p ^103*q^1198+394462*p^101*q^1200+6922322*p^99*q^1202+65540828*p^97*q^1204+ 130125361*p^95*q^1206+36469552*p^93*q^1208+1208225*p^91*q^1210+13270*p^89*q^ 1212+204*p^87*q^1214+20*p^106*q^1194+1660*p^104*q^1196+64376*p^102*q^1198+ 1353336*p^100*q^1200+22756414*p^98*q^1202+115341806*p^96*q^1204+100001372*p^94* q^1206+9938085*p^92*q^1208+204410*p^90*q^1210+1008*p^88*q^1212+592*p^105*q^1194 +4182*p^103*q^1196+362098*p^101*q^1198+5821974*p^99*q^1200+60740442*p^97*q^1202 +141446902*p^95*q^1204+46822063*p^93*q^1206+1728912*p^91*q^1208+14406*p^89*q^ 1210+48*p^87*q^1212+6508*p^104*q^1194+47111*p^102*q^1196+1204214*p^100*q^1198+ 20566307*p^98*q^1200+112763782*p^96*q^1202+113485656*p^94*q^1204+13837284*p^92* q^1206+295564*p^90*q^1208+3380*p^88*q^1210+39*p^86*q^1212+396*p^105*q^1192+3258 *p^103*q^1194+298788*p^101*q^1196+4897007*p^99*q^1198+55138554*p^97*q^1200+ 145075356*p^95*q^1202+60837688*p^93*q^1204+2898861*p^91*q^1206+45736*p^89*q^ 1208+50*p^87*q^1210+4588*p^104*q^1192+29740*p^102*q^1194+1059787*p^100*q^1196+ 17362882*p^98*q^1198+111054786*p^96*q^1200+128555350*p^94*q^1202+19611589*p^92* q^1204+415022*p^90*q^1206+1755*p^88*q^1208+44*p^105*q^1190+10902*p^103*q^1192+ 235427*p^101*q^1194+4071506*p^99*q^1196+50750675*p^97*q^1198+152378128*p^95*q^ 1200+73873900*p^93*q^1202+4146974*p^91*q^1204+66899*p^89*q^1206+670*p^87*q^1208 +3*p^85*q^1210+3344*p^104*q^1190+21986*p^102*q^1192+977826*p^100*q^1194+ 15409388*p^98*q^1196+105163166*p^96*q^1198+142873493*p^94*q^1200+26500262*p^92* q^1202+699638*p^90*q^1204+6344*p^88*q^1206+24*p^105*q^1188+15782*p^103*q^1190+ 170240*p^101*q^1192+3470224*p^99*q^1194+45412754*p^97*q^1196+154527241*p^95*q^ 1198+90196834*p^93*q^1200+6395836*p^91*q^1202+101054*p^89*q^1204+581*p^87*q^ 1206+1332*p^104*q^1188+18408*p^102*q^1190+839432*p^100*q^1192+13103462*p^98*q^ 1194+101331193*p^96*q^1196+155230842*p^94*q^1198+36361731*p^92*q^1200+1053936*p ^90*q^1202+13744*p^88*q^1204+60*p^86*q^1206+16*p^105*q^1186+15312*p^103*q^1188+ 129748*p^101*q^1190+2971810*p^99*q^1192+40546906*p^97*q^1194+158365372*p^95*q^ 1196+105970543*p^93*q^1198+9030414*p^91*q^1200+143233*p^89*q^1202+376*p^87*q^ 1204+328*p^104*q^1186+31612*p^102*q^1188+705218*p^100*q^1190+11421169*p^98*q^ 1192+95448864*p^96*q^1194+168255391*p^94*q^1196+46629312*p^92*q^1198+1679648*p^ 90*q^1200+22402*p^88*q^1202+204*p^86*q^1204+11658*p^103*q^1186+91132*p^101*q^ 1188+2618124*p^99*q^1190+36135070*p^97*q^1192+155939371*p^95*q^1194+123822402*p ^93*q^1196+13146623*p^91*q^1198+243968*p^89*q^1200+2108*p^87*q^1202+404*p^104*q ^1184+39368*p^102*q^1186+571284*p^100*q^1188+9504978*p^98*q^1190+89291001*p^96* q^1192+179300088*p^94*q^1194+60491059*p^92*q^1196+2608792*p^90*q^1198+31466*p^ 88*q^1200+8*p^86*q^1202+3948*p^103*q^1184+72574*p^101*q^1186+2254302*p^99*q^ 1188+32106013*p^97*q^1190+157611050*p^95*q^1192+140246519*p^93*q^1194+18375896* p^91*q^1196+356058*p^89*q^1198+3364*p^87*q^1200+39*p^85*q^1202+32*p^104*q^1182+ 48754*p^102*q^1184+463002*p^100*q^1186+8359489*p^98*q^1188+82223128*p^96*q^1190 +190157149*p^94*q^1192+73891272*p^92*q^1194+3746728*p^90*q^1196+48204*p^88*q^ 1198+156*p^86*q^1200+6*p^107*q^1178+4180*p^103*q^1182+78508*p^101*q^1184+ 1995654*p^99*q^1186+28136582*p^97*q^1188+152415979*p^95*q^1190+158082834*p^93*q ^1192+25620171*p^91*q^1194+664412*p^89*q^1196+8544*p^87*q^1198+32*p^104*q^1180+ 28284*p^102*q^1182+326446*p^100*q^1184+6898664*p^98*q^1186+75735409*p^96*q^1188 +196772820*p^94*q^1190+92842248*p^92*q^1192+5625428*p^90*q^1194+66342*p^88*q^ 1196+252*p^86*q^1198+3*p^84*q^1200+1180*p^103*q^1180+115199*p^101*q^1182+ 1703250*p^99*q^1184+24916873*p^97*q^1186+150671202*p^95*q^1188+175703634*p^93*q ^1190+33688530*p^91*q^1192+917218*p^89*q^1194+8114*p^87*q^1196+76*p^106*q^1176+ 12*p^104*q^1178+24172*p^102*q^1180+253420*p^100*q^1182+6180718*p^98*q^1184+ 68629052*p^96*q^1186+204397309*p^94*q^1188+107146692*p^92*q^1190+8445562*p^90*q ^1192+135280*p^88*q^1194+1772*p^86*q^1196+504*p^103*q^1178+109266*p^101*q^1180+ 1403673*p^99*q^1182+21229552*p^97*q^1184+142893740*p^95*q^1186+193779402*p^93*q ^1188+45355146*p^91*q^1190+1446726*p^89*q^1192+12004*p^87*q^1194+8*p^85*q^1196+ 8*p^106*q^1174+12*p^104*q^1176+14456*p^102*q^1178+241887*p^100*q^1180+5312284*p ^98*q^1182+62902228*p^96*q^1184+207990224*p^94*q^1186+128103499*p^92*q^1188+ 11795196*p^90*q^1190+215250*p^88*q^1192+1882*p^86*q^1194+378*p^105*q^1174+264*p ^103*q^1176+93518*p^101*q^1178+1102622*p^99*q^1180+18355337*p^97*q^1182+ 137486354*p^95*q^1184+208848623*p^93*q^1186+58053304*p^91*q^1188+2202334*p^89*q ^1190+19692*p^87*q^1192+180*p^85*q^1194+5556*p^102*q^1176+282100*p^100*q^1178+ 4645785*p^98*q^1180+56668868*p^96*q^1182+212749536*p^94*q^1184+146361528*p^92*q ^1186+16650231*p^90*q^1188+324300*p^88*q^1190+1628*p^86*q^1192+220*p^105*q^1172 +300*p^103*q^1174+83978*p^101*q^1176+842877*p^99*q^1178+16181968*p^97*q^1180+ 127707138*p^95*q^1182+225305070*p^93*q^1184+71745989*p^91*q^1186+3408680*p^89*q ^1188+45788*p^87*q^1190+512*p^85*q^1192+940*p^104*q^1172+3744*p^102*q^1174+ 256826*p^100*q^1176+3987858*p^98*q^1178+49746765*p^96*q^1180+211506028*p^94*q^ 1182+169314407*p^92*q^1184+23605270*p^90*q^1186+501059*p^88*q^1188+2420*p^86*q^ 1190+4*p^84*q^1192+14*p^105*q^1170+48*p^103*q^1172+43148*p^101*q^1174+765470*p^ 99*q^1176+13742405*p^97*q^1178+122590740*p^95*q^1180+238647342*p^93*q^1182+ 88852402*p^91*q^1184+4783035*p^89*q^1186+63670*p^87*q^1188+96*p^85*q^1190+1594* p^104*q^1170+2902*p^102*q^1172+282976*p^100*q^1174+3306496*p^98*q^1176+44973220 *p^96*q^1178+210353737*p^94*q^1180+187751792*p^92*q^1182+31306502*p^90*q^1184+ 797436*p^88*q^1186+6834*p^86*q^1188+86*p^84*q^1190+12*p^105*q^1168+1252*p^103*q ^1170+32014*p^101*q^1172+678716*p^99*q^1174+12198188*p^97*q^1176+111414091*p^95 *q^1178+252745586*p^93*q^1180+106173060*p^91*q^1182+7474674*p^89*q^1184+115261* p^87*q^1186+296*p^85*q^1188+424*p^104*q^1168+1308*p^102*q^1170+210534*p^100*q^ 1172+2652238*p^98*q^1174+39000528*p^96*q^1176+205583008*p^94*q^1178+212715162*p ^92*q^1180+41641884*p^90*q^1182+1184150*p^88*q^1184+11174*p^86*q^1186+5008*p^ 103*q^1168+20086*p^101*q^1170+695546*p^99*q^1172+10604520*p^97*q^1174+105012256 *p^95*q^1176+262486199*p^93*q^1178+126505748*p^91*q^1180+10342766*p^89*q^1182+ 151564*p^87*q^1184+698*p^85*q^1186+6*p^83*q^1188+272*p^104*q^1166+1226*p^102*q^ 1168+166708*p^100*q^1170+2254868*p^98*q^1172+34436788*p^96*q^1174+201114257*p^ 94*q^1176+230737322*p^92*q^1178+53311829*p^90*q^1180+1902442*p^88*q^1182+24244* p^86*q^1184+16*p^84*q^1186+3588*p^103*q^1166+13872*p^101*q^1168+665818*p^99*q^ 1170+9043302*p^97*q^1172+94400727*p^95*q^1174+272842990*p^93*q^1176+146820442*p ^91*q^1178+15141518*p^89*q^1180+254624*p^87*q^1182+1572*p^85*q^1184+20*p^104*q^ 1164+8064*p^102*q^1166+116608*p^100*q^1168+1914964*p^98*q^1170+30162419*p^96*q^ 1172+192714346*p^94*q^1174+255405246*p^92*q^1176+67120580*p^90*q^1178+2818627*p ^88*q^1180+31586*p^86*q^1182+88*p^84*q^1184+2448*p^103*q^1164+6332*p^101*q^1166 +580412*p^99*q^1168+7656444*p^97*q^1170+86668992*p^95*q^1172+276628420*p^93*q^ 1174+171798124*p^91*q^1176+20449178*p^89*q^1178+400578*p^87*q^1180+3260*p^85*q^ 1182+12*p^104*q^1162+12358*p^102*q^1164+86476*p^100*q^1166+1806346*p^98*q^1168+ 26721222*p^96*q^1170+186038053*p^94*q^1172+274114372*p^92*q^1174+82357119*p^90* q^1176+4225826*p^88*q^1178+43588*p^86*q^1180+116*p^84*q^1182+854*p^103*q^1162+ 10012*p^101*q^1164+498298*p^99*q^1166+6408800*p^97*q^1168+77273819*p^95*q^1170+ 281029782*p^93*q^1172+192752922*p^91*q^1174+28362658*p^89*q^1176+662188*p^87*q^ 1178+8658*p^85*q^1180+8*p^83*q^1182+8*p^104*q^1160+12230*p^102*q^1162+56222*p^ 100*q^1164+1599634*p^98*q^1166+23269472*p^96*q^1168+174091126*p^94*q^1170+ 297809891*p^92*q^1172+100761672*p^90*q^1174+6285416*p^88*q^1176+72652*p^86*q^ 1178+176*p^84*q^1180+176*p^103*q^1160+21364*p^101*q^1162+377646*p^99*q^1164+ 5483863*p^97*q^1166+69561272*p^95*q^1168+281636136*p^93*q^1170+220136136*p^91*q ^1172+36548714*p^89*q^1174+966986*p^87*q^1176+6566*p^85*q^1178+8272*p^102*q^ 1160+35298*p^100*q^1162+1547150*p^98*q^1164+20121886*p^96*q^1166+166840538*p^94 *q^1168+311447168*p^92*q^1170+120305660*p^90*q^1172+8996364*p^88*q^1174+125766* p^86*q^1176+1778*p^84*q^1178+234*p^103*q^1158+33382*p^101*q^1160+311216*p^99*q^ 1162+4739836*p^97*q^1164+62054539*p^95*q^1166+278636814*p^93*q^1168+244887748*p ^91*q^1170+47732732*p^89*q^1172+1633736*p^87*q^1174+11138*p^85*q^1176+4*p^83*q^ 1178+2456*p^102*q^1158+34268*p^100*q^1160+1272276*p^98*q^1162+17200875*p^96*q^ 1164+151915164*p^94*q^1166+334106732*p^92*q^1168+141192522*p^90*q^1170+13027946 *p^88*q^1172+193654*p^86*q^1174+1670*p^84*q^1176+20*p^103*q^1156+36604*p^101*q^ 1158+210472*p^99*q^1160+4275858*p^97*q^1162+55719526*p^95*q^1164+276010422*p^93 *q^1166+274299422*p^91*q^1168+59798424*p^89*q^1170+2236730*p^87*q^1172+18162*p^ 85*q^1174+156*p^83*q^1176+2616*p^102*q^1156+56242*p^100*q^1158+1142526*p^98*q^ 1160+14897684*p^96*q^1162+142068669*p^94*q^1164+341067788*p^92*q^1166+164997382 *p^90*q^1168+17664462*p^88*q^1170+359648*p^86*q^1172+1224*p^84*q^1174+12*p^103* q^1154+20040*p^101*q^1156+142444*p^99*q^1158+3759638*p^97*q^1160+48539324*p^95* q^1162+269952610*p^93*q^1164+300056257*p^91*q^1166+75569974*p^89*q^1168+3616975 *p^87*q^1170+33086*p^85*q^1172+498*p^83*q^1174+4*p^106*q^1150+732*p^102*q^1154+ 88486*p^100*q^1156+937796*p^98*q^1158+12790498*p^96*q^1160+130013122*p^94*q^ 1162+356666896*p^92*q^1164+189580110*p^90*q^1166+23981707*p^88*q^1168+493498*p^ 86*q^1170+1876*p^84*q^1172+4*p^103*q^1152+16104*p^101*q^1154+122266*p^99*q^1156 +3308716*p^97*q^1158+43111798*p^95*q^1160+258160194*p^93*q^1162+330882120*p^91* q^1164+90733832*p^89*q^1166+5311180*p^87*q^1168+62819*p^85*q^1170+64*p^83*q^ 1172+228*p^102*q^1152+79654*p^100*q^1154+707238*p^98*q^1156+11258068*p^96*q^ 1158+119400320*p^94*q^1160+363572094*p^92*q^1162+218271756*p^90*q^1164+31607208 *p^88*q^1166+782004*p^86*q^1168+4386*p^84*q^1170+86*p^82*q^1172+52*p^105*q^1148 +8*p^103*q^1150+9108*p^101*q^1152+164748*p^99*q^1154+3022690*p^97*q^1156+ 37416020*p^95*q^1158+249402556*p^93*q^1160+351457734*p^91*q^1162+109728066*p^89 *q^1164+7577130*p^87*q^1166+107632*p^85*q^1168+148*p^83*q^1170+104*p^102*q^1150 +67968*p^100*q^1152+507104*p^98*q^1154+9566470*p^96*q^1156+107003468*p^94*q^ 1158+371233384*p^92*q^1160+248013730*p^90*q^1162+41972103*p^88*q^1164+1317412*p ^86*q^1166+8323*p^84*q^1168+4*p^105*q^1146+3266*p^101*q^1150+182502*p^99*q^1152 +2590154*p^97*q^1154+32938226*p^95*q^1156+236149725*p^93*q^1158+383271200*p^91* q^1160+129325506*p^89*q^1162+10391998*p^87*q^1164+134116*p^85*q^1166+402*p^83*q ^1168+6*p^81*q^1170+264*p^104*q^1146+196*p^102*q^1148+54870*p^100*q^1150+468564 *p^98*q^1152+8542582*p^96*q^1154+97641035*p^94*q^1156+368844762*p^92*q^1158+ 279446976*p^90*q^1160+51808238*p^88*q^1162+1977166*p^86*q^1164+19694*p^84*q^ 1166+8*p^82*q^1168+2036*p^101*q^1148+191452*p^99*q^1150+2080938*p^97*q^1152+ 28618274*p^95*q^1154+222947716*p^93*q^1156+401975915*p^91*q^1158+153808388*p^89 *q^1160+15153974*p^87*q^1162+270314*p^85*q^1164+830*p^83*q^1166+144*p^104*q^ 1144+24*p^102*q^1146+27990*p^100*q^1148+409492*p^98*q^1150+7582325*p^96*q^1152+ 85855042*p^94*q^1154+371192139*p^92*q^1156+311219604*p^90*q^1158+65657920*p^88* q^1160+2792826*p^86*q^1162+22168*p^84*q^1164+24*p^82*q^1166+660*p^103*q^1144+ 1708*p^101*q^1146+191414*p^99*q^1148+1713446*p^97*q^1150+24948986*p^95*q^1152+ 209078491*p^93*q^1154+428940252*p^91*q^1156+177682026*p^89*q^1158+20114756*p^87 *q^1160+419069*p^85*q^1162+2222*p^83*q^1164+4*p^104*q^1142+8*p^102*q^1144+20222 *p^100*q^1146+428690*p^98*q^1148+6706254*p^96*q^1150+77842323*p^94*q^1152+ 361980396*p^92*q^1154+346194576*p^90*q^1156+79094640*p^88*q^1158+4229482*p^86*q ^1160+45508*p^84*q^1162+54*p^82*q^1164+1148*p^103*q^1142+808*p^101*q^1144+ 141872*p^99*q^1146+1415228*p^97*q^1148+21545566*p^95*q^1150+193737782*p^93*q^ 1152+442350942*p^91*q^1154+208221068*p^89*q^1156+26963042*p^87*q^1158+681554*p^ 85*q^1160+4038*p^83*q^1162+4*p^104*q^1140+840*p^102*q^1142+11436*p^100*q^1144+ 455980*p^98*q^1146+5666812*p^96*q^1148+68490878*p^94*q^1150+358622295*p^92*q^ 1152+378916984*p^90*q^1154+96691628*p^88*q^1156+6155058*p^86*q^1158+70145*p^84* q^1160+98*p^82*q^1162+220*p^103*q^1140+214*p^101*q^1142+112168*p^99*q^1144+ 1190359*p^97*q^1146+19154338*p^95*q^1148+177489162*p^93*q^1150+462871900*p^91*q ^1152+236527983*p^89*q^1154+34787302*p^87*q^1156+956717*p^85*q^1158+6360*p^83*q ^1160+3804*p^102*q^1140+8672*p^100*q^1142+430512*p^98*q^1144+4932278*p^96*q^ 1146+60951580*p^94*q^1148+345050990*p^92*q^1150+416735599*p^90*q^1152+114357534 *p^88*q^1154+8801464*p^86*q^1156+136866*p^84*q^1158+544*p^82*q^1160+140*p^103*q ^1138+572*p^101*q^1140+72352*p^99*q^1142+1127712*p^97*q^1144+16702329*p^95*q^ 1146+163145732*p^93*q^1148+468210496*p^91*q^1150+272073118*p^89*q^1152+43986686 *p^87*q^1154+1514826*p^85*q^1156+10593*p^83*q^1158+2392*p^102*q^1138+3748*p^100 *q^1140+399410*p^98*q^1142+4033184*p^96*q^1144+53029114*p^94*q^1146+334481950*p ^92*q^1148+447573196*p^90*q^1150+137843810*p^88*q^1152+12308742*p^86*q^1154+ 211752*p^84*q^1156+864*p^82*q^1158+8*p^103*q^1136+6024*p^101*q^1138+52644*p^99* q^1140+1011472*p^97*q^1142+14733858*p^95*q^1144+148662919*p^93*q^1146+482070270 *p^91*q^1148+306311901*p^89*q^1150+54839434*p^87*q^1152+2215182*p^85*q^1154+ 16306*p^83*q^1156+32*p^81*q^1158+1400*p^102*q^1136+1848*p^100*q^1138+326518*p^ 98*q^1140+3560318*p^96*q^1142+47322063*p^94*q^1144+315702378*p^92*q^1146+ 483645117*p^90*q^1148+159236508*p^88*q^1150+16562208*p^86*q^1152+304768*p^84*q^ 1154+1534*p^82*q^1156+9676*p^101*q^1136+36232*p^99*q^1138+1032748*p^97*q^1140+ 12638614*p^95*q^1142+134785584*p^93*q^1144+480179737*p^91*q^1146+346558168*p^89 *q^1148+67566657*p^87*q^1150+3546494*p^85*q^1152+46920*p^83*q^1154+108*p^81*q^ 1156+452*p^102*q^1134+5012*p^100*q^1136+239154*p^98*q^1138+2915488*p^96*q^1140+ 40985146*p^94*q^1142+300328026*p^92*q^1144+510788348*p^90*q^1146+189330730*p^88 *q^1148+22016864*p^86*q^1150+451702*p^84*q^1152+820*p^82*q^1154+4*p^103*q^1132+ 7644*p^101*q^1134+19232*p^99*q^1136+972986*p^97*q^1138+11191266*p^95*q^1140+ 120968622*p^93*q^1142+487931318*p^91*q^1144+384160698*p^89*q^1146+81657644*p^87 *q^1148+4883254*p^85*q^1150+54474*p^83*q^1152+175*p^81*q^1154+16*p^102*q^1132+ 18376*p^100*q^1134+199332*p^98*q^1136+2673948*p^96*q^1138+36361432*p^94*q^1140+ 281098448*p^92*q^1142+540001853*p^90*q^1144+216634564*p^88*q^1146+28412227*p^86 *q^1148+810336*p^84*q^1150+6966*p^82*q^1152+8*p^80*q^1154+5048*p^101*q^1132+ 9808*p^99*q^1134+830088*p^97*q^1136+9430626*p^95*q^1138+108494250*p^93*q^1140+ 474250162*p^91*q^1142+432405540*p^89*q^1144+98077608*p^87*q^1146+7198786*p^85*q ^1148+84573*p^83*q^1150+20*p^81*q^1152+136*p^102*q^1130+23296*p^100*q^1132+ 133630*p^98*q^1134+2442900*p^96*q^1136+31790810*p^94*q^1138+263652933*p^92*q^ 1140+564138018*p^90*q^1142+252112220*p^88*q^1144+36106372*p^86*q^1146+1184876*p ^84*q^1148+9938*p^82*q^1150+11*p^80*q^1152+924*p^101*q^1130+22832*p^99*q^1132+ 734216*p^97*q^1134+8115812*p^95*q^1136+96338588*p^93*q^1138+471694262*p^91*q^ 1140+467879020*p^89*q^1142+118153350*p^87*q^1144+9695456*p^85*q^1146+139698*p^ 83*q^1148+440*p^81*q^1150+8*p^102*q^1128+24388*p^100*q^1130+78516*p^98*q^1132+ 2217758*p^96*q^1134+28185399*p^94*q^1136+243167532*p^92*q^1138+589429768*p^90*q ^1140+287090308*p^88*q^1142+44820213*p^86*q^1144+1830408*p^84*q^1146+14384*p^82 *q^1148+1452*p^101*q^1128+41240*p^99*q^1130+607862*p^97*q^1132+7156528*p^95*q^ 1134+85842824*p^93*q^1136+453766891*p^91*q^1138+514347594*p^89*q^1140+138360121 *p^87*q^1142+13440626*p^85*q^1144+247972*p^83*q^1146+1632*p^81*q^1148+11202*p^ 100*q^1128+56666*p^98*q^1130+2084148*p^96*q^1132+23972596*p^94*q^1134+224473240 *p^92*q^1136+600606120*p^90*q^1138+332271518*p^88*q^1140+55418474*p^86*q^1142+ 2760398*p^84*q^1144+22232*p^82*q^1146+400*p^101*q^1126+61324*p^99*q^1128+442294 *p^97*q^1130+6024788*p^95*q^1132+76368755*p^93*q^1134+444661418*p^91*q^1136+ 554704779*p^89*q^1138+163382990*p^87*q^1140+17406763*p^85*q^1142+358900*p^83*q^ 1144+1636*p^81*q^1146+8584*p^100*q^1126+73988*p^98*q^1128+1911406*p^96*q^1130+ 21692532*p^94*q^1132+204221678*p^92*q^1134+617453624*p^90*q^1136+368941192*p^88 *q^1138+67489052*p^86*q^1140+3878448*p^84*q^1142+42592*p^82*q^1144+166*p^80*q^ 1146+2*p^105*q^1120+36*p^101*q^1124+52934*p^99*q^1126+298982*p^97*q^1128+ 5448820*p^95*q^1130+66827208*p^93*q^1132+419636775*p^91*q^1134+600381226*p^89*q ^1136+191505517*p^87*q^1138+22927392*p^85*q^1140+663971*p^83*q^1142+4738*p^81*q ^1144+4*p^102*q^1122+5398*p^100*q^1124+96300*p^98*q^1126+1652598*p^96*q^1128+ 18273418*p^94*q^1130+186904176*p^92*q^1132+620164346*p^90*q^1134+421612825*p^88 *q^1136+81200082*p^86*q^1138+5570513*p^84*q^1140+54972*p^82*q^1142+72*p^80*q^ 1144+12*p^101*q^1122+38004*p^99*q^1124+249290*p^97*q^1126+5014618*p^95*q^1128+ 59366170*p^93*q^1130+404244560*p^91*q^1132+634406881*p^89*q^1134+224077660*p^87 *q^1136+28437749*p^85*q^1138+917314*p^83*q^1140+5706*p^81*q^1142+6*p^79*q^1144+ 28*p^104*q^1118+1360*p^100*q^1122+129502*p^98*q^1124+1310646*p^96*q^1126+ 15940318*p^94*q^1128+168339746*p^92*q^1130+625836419*p^90*q^1132+463861338*p^88 *q^1134+97193313*p^86*q^1136+7779372*p^84*q^1138+121979*p^82*q^1140+890*p^80*q^ 1142+120*p^101*q^1120+33836*p^99*q^1122+214632*p^97*q^1124+4597111*p^95*q^1126+ 52696134*p^93*q^1128+376726807*p^91*q^1130+677105128*p^89*q^1132+258036369*p^87 *q^1134+36263866*p^85*q^1136+1406240*p^83*q^1138+7196*p^81*q^1140+718*p^100*q^ 1120+114988*p^98*q^1122+1016982*p^96*q^1124+13713998*p^94*q^1126+151112356*p^92 *q^1128+617773616*p^90*q^1130+521035241*p^88*q^1132+115817332*p^86*q^1134+ 10490801*p^84*q^1136+198096*p^82*q^1138+976*p^80*q^1140+156*p^103*q^1116+8*p^ 101*q^1118+15156*p^99*q^1120+242250*p^97*q^1122+4147520*p^95*q^1124+46009593*p^ 93*q^1126+358921250*p^91*q^1128+704831562*p^89*q^1130+299391152*p^87*q^1132+ 43895705*p^85*q^1134+2067334*p^83*q^1136+14614*p^81*q^1138+76*p^79*q^1140+1012* p^100*q^1118+121294*p^98*q^1120+823612*p^96*q^1122+12348448*p^94*q^1124+ 135381396*p^92*q^1126+613760888*p^90*q^1128+565806830*p^88*q^1130+137503868*p^ 86*q^1132+13648476*p^84*q^1134+298604*p^82*q^1136+740*p^80*q^1138+52*p^103*q^ 1114+9713*p^99*q^1118+247320*p^97*q^1120+3530978*p^95*q^1122+40073746*p^93*q^ 1124+329440673*p^91*q^1126+738856444*p^89*q^1128+340033071*p^87*q^1130+54155198 *p^85*q^1132+3145386*p^83*q^1134+35596*p^81*q^1136+248*p^79*q^1138+440*p^102*q^ 1114+392*p^100*q^1116+86464*p^98*q^1118+691512*p^96*q^1120+10985372*p^94*q^1122 +121479090*p^92*q^1124+594779934*p^90*q^1126+628020467*p^88*q^1128+161660002*p^ 86*q^1130+17872501*p^84*q^1132+444632*p^82*q^1134+972*p^80*q^1136+5768*p^99*q^ 1116+275984*p^97*q^1118+2934682*p^95*q^1120+34997267*p^93*q^1122+307146268*p^91 *q^1124+758519226*p^89*q^1126+390129476*p^87*q^1128+64783969*p^85*q^1130+ 4320292*p^83*q^1132+55046*p^81*q^1134+40*p^79*q^1136+554*p^102*q^1112+28*p^100* q^1114+63449*p^98*q^1116+620528*p^96*q^1118+10072632*p^94*q^1120+108182684*p^92 *q^1122+584952459*p^90*q^1124+670836064*p^88*q^1126+190554095*p^86*q^1128+ 22170456*p^84*q^1130+705659*p^82*q^1132+4266*p^80*q^1134+42*p^78*q^1136+660*p^ 101*q^1112+4882*p^99*q^1114+279528*p^97*q^1116+2450808*p^95*q^1118+30744074*p^ 93*q^1120+279064239*p^91*q^1122+778877710*p^89*q^1124+437815936*p^87*q^1126+ 78729074*p^85*q^1128+6079318*p^83*q^1130+95362*p^81*q^1132+24*p^79*q^1134+48*p^ 102*q^1110+12*p^100*q^1112+37164*p^98*q^1114+552058*p^96*q^1116+8670784*p^94*q^ 1118+95495119*p^92*q^1120+557017518*p^90*q^1122+734368676*p^88*q^1124+222418770 *p^86*q^1126+28197861*p^84*q^1128+1102644*p^82*q^1130+7404*p^80*q^1132+2248*p^ 101*q^1110+1328*p^99*q^1112+242857*p^97*q^1114+2112092*p^95*q^1116+27080420*p^ 93*q^1118+258806772*p^91*q^1120+788527008*p^89*q^1122+495974514*p^87*q^1124+ 92566200*p^85*q^1126+7902120*p^83*q^1128+116816*p^81*q^1130+272*p^79*q^1132+3*p ^77*q^1134+48*p^102*q^1108+508*p^100*q^1110+29610*p^98*q^1112+614466*p^96*q^ 1114+7692832*p^94*q^1116+84777228*p^92*q^1118+536615088*p^90*q^1120+772449926*p ^88*q^1122+258714339*p^86*q^1124+34479484*p^84*q^1126+1696042*p^82*q^1128+20166 *p^80*q^1130+880*p^101*q^1108+562*p^99*q^1110+193364*p^97*q^1112+1665460*p^95*q ^1114+24039350*p^93*q^1116+231721588*p^91*q^1118+799793786*p^89*q^1120+ 550199608*p^87*q^1122+112029436*p^85*q^1124+10562076*p^83*q^1126+215362*p^81*q^ 1128+608*p^79*q^1130+4470*p^100*q^1108+17444*p^98*q^1110+609484*p^96*q^1112+ 6682928*p^94*q^1114+74822230*p^92*q^1116+505285714*p^90*q^1118+832141969*p^88*q ^1120+297623338*p^86*q^1122+42006746*p^84*q^1124+2363786*p^82*q^1126+19748*p^80 *q^1128+8*p^78*q^1130+580*p^101*q^1106+276*p^99*q^1108+133232*p^97*q^1110+ 1488802*p^95*q^1112+21102828*p^93*q^1114+211302288*p^91*q^1116+793057561*p^89*q ^1118+615748730*p^87*q^1120+131982042*p^85*q^1122+13585962*p^83*q^1124+365700*p ^81*q^1126+2816*p^79*q^1128+4768*p^100*q^1106+7924*p^98*q^1108+617530*p^96*q^ 1110+5702356*p^94*q^1112+66244794*p^92*q^1114+481482404*p^90*q^1116+865629986*p ^88*q^1118+345600402*p^86*q^1120+49962140*p^84*q^1122+3279789*p^82*q^1124+30856 *p^80*q^1126+24*p^78*q^1128+112*p^101*q^1104+5264*p^99*q^1106+109180*p^97*q^ 1108+1377628*p^95*q^1110+18970260*p^93*q^1112+189000682*p^91*q^1114+789499968*p ^89*q^1116+671414307*p^87*q^1118+156159588*p^85*q^1120+17370922*p^83*q^1122+ 591132*p^81*q^1124+4886*p^79*q^1126+3400*p^100*q^1104+3088*p^98*q^1106+494458*p ^96*q^1108+4726062*p^94*q^1110+57728388*p^92*q^1112+444140890*p^90*q^1114+ 916710208*p^88*q^1116+393131190*p^86*q^1118+61977706*p^84*q^1120+4509262*p^82*q ^1122+57359*p^80*q^1124+168*p^78*q^1126+11422*p^99*q^1104+64178*p^97*q^1106+ 1383848*p^95*q^1108+16559027*p^93*q^1110+171986604*p^91*q^1112+774717693*p^89*q ^1114+743588028*p^87*q^1116+182360607*p^85*q^1118+21027462*p^83*q^1120+826000*p ^81*q^1122+3192*p^79*q^1124+1860*p^100*q^1102+6988*p^98*q^1104+431848*p^96*q^ 1106+4101456*p^94*q^1108+51622412*p^92*q^1110+416228944*p^90*q^1112+937356672*p ^88*q^1114+448428617*p^86*q^1116+72743972*p^84*q^1118+6161966*p^82*q^1120+ 113510*p^80*q^1122+1010*p^78*q^1124+44*p^101*q^1100+11676*p^99*q^1102+35712*p^ 97*q^1104+1346144*p^95*q^1106+14610930*p^93*q^1108+151277672*p^91*q^1110+ 761881476*p^89*q^1112+800821581*p^87*q^1114+216826104*p^85*q^1116+26173024*p^83 *q^1118+1273216*p^81*q^1120+6690*p^79*q^1122+164*p^100*q^1100+17076*p^98*q^1102 +329392*p^96*q^1104+3452076*p^94*q^1106+44913261*p^92*q^1108+381878954*p^90*q^ 1110+974352028*p^88*q^1112+505914152*p^86*q^1114+87481197*p^84*q^1116+7999050*p ^82*q^1118+175236*p^80*q^1120+440*p^78*q^1122+11152*p^99*q^1100+23557*p^97*q^ 1102+1260888*p^95*q^1104+12620677*p^93*q^1106+137268812*p^91*q^1108+730905623*p ^89*q^1110+878816464*p^87*q^1112+248970778*p^85*q^1114+31937812*p^83*q^1116+ 1733840*p^81*q^1118+13782*p^79*q^1120+116*p^77*q^1122+620*p^100*q^1098+22584*p^ 98*q^1100+226824*p^96*q^1102+3237158*p^94*q^1104+40183194*p^92*q^1106+352579432 *p^90*q^1108+985501204*p^88*q^1110+569620378*p^86*q^1112+103865250*p^84*q^1114+ 10138912*p^82*q^1116+293746*p^80*q^1118+536*p^78*q^1120+3452*p^99*q^1098+36764* p^97*q^1100+1122013*p^95*q^1102+10843766*p^93*q^1104+119943651*p^91*q^1106+ 708034152*p^89*q^1108+928306907*p^87*q^1110+293868238*p^85*q^1112+38434722*p^83 *q^1114+2556030*p^81*q^1116+31846*p^79*q^1118+88*p^77*q^1120+84*p^100*q^1096+ 33588*p^98*q^1098+135797*p^96*q^1100+3024806*p^94*q^1102+35628349*p^92*q^1104+ 321062436*p^90*q^1106+1008413391*p^88*q^1108+636092460*p^86*q^1110+123857467*p^ 84*q^1112+12820014*p^82*q^1114+413526*p^80*q^1116+852*p^78*q^1118+6*p^76*q^1120 +3832*p^99*q^1096+33926*p^97*q^1098+932904*p^95*q^1100+9213063*p^93*q^1102+ 106765720*p^91*q^1104+669259703*p^89*q^1106+1001565500*p^87*q^1108+334638796*p^ 85*q^1110+46466320*p^83*q^1112+3386746*p^81*q^1114+52102*p^79*q^1116+24*p^77*q^ 1118+21976*p^98*q^1096+132508*p^96*q^1098+2922551*p^94*q^1100+31242846*p^92*q^ 1102+295906199*p^90*q^1104+1005339854*p^88*q^1106+711595754*p^86*q^1108+ 145391974*p^84*q^1110+15862655*p^82*q^1112+632774*p^80*q^1114+3772*p^78*q^1116+ 8*p^76*q^1118+1824*p^99*q^1094+57908*p^97*q^1096+677651*p^95*q^1098+8045158*p^ 93*q^1100+94767026*p^91*q^1102+636345808*p^89*q^1104+1044871800*p^87*q^1106+ 388074650*p^85*q^1108+55641759*p^83*q^1110+4583730*p^81*q^1112+87470*p^79*q^ 1114+20*p^77*q^1116+16400*p^98*q^1094+104476*p^96*q^1096+2695732*p^94*q^1098+ 27426241*p^92*q^1100+262561530*p^90*q^1102+1013945700*p^88*q^1104+782840948*p^ 86*q^1106+173648272*p^84*q^1108+19494392*p^82*q^1110+956438*p^80*q^1112+8014*p^ 78*q^1114+280*p^99*q^1092+65748*p^97*q^1094+516048*p^95*q^1096+7201080*p^93*q^ 1098+84099696*p^91*q^1100+599175603*p^89*q^1102+1111161090*p^87*q^1104+ 439159799*p^85*q^1106+66729966*p^83*q^1108+5795896*p^81*q^1110+118984*p^79*q^ 1112+144*p^77*q^1114+40*p^100*q^1090+14468*p^98*q^1092+99732*p^96*q^1094+ 2374322*p^94*q^1096+23887190*p^92*q^1098+240108677*p^90*q^1100+987866206*p^88*q ^1102+865598785*p^86*q^1104+201531516*p^84*q^1106+23458198*p^82*q^1108+1348752* p^80*q^1110+14526*p^78*q^1112+204*p^99*q^1090+53636*p^97*q^1092+443876*p^95*q^ 1094+6735534*p^93*q^1096+74381801*p^91*q^1098+561182804*p^89*q^1100+1146851095* p^87*q^1102+505400508*p^85*q^1104+79193984*p^83*q^1106+7698250*p^81*q^1108+ 225018*p^79*q^1110+1080*p^77*q^1112+4420*p^98*q^1090+124704*p^96*q^1092+1852550 *p^94*q^1094+20428571*p^92*q^1096+212650006*p^90*q^1098+981309927*p^88*q^1100+ 936915366*p^86*q^1102+238641828*p^84*q^1104+28757006*p^82*q^1106+1820886*p^80*q ^1108+17648*p^78*q^1110+448*p^99*q^1088+58964*p^97*q^1090+338474*p^95*q^1092+ 6273131*p^93*q^1094+66505058*p^91*q^1096+520468866*p^89*q^1098+1200804412*p^87* q^1100+567692575*p^85*q^1102+94658978*p^83*q^1104+9161671*p^81*q^1106+322998*p^ 79*q^1108+1688*p^77*q^1110+3210*p^98*q^1088+122472*p^96*q^1090+1621310*p^94*q^ 1092+17924446*p^92*q^1094+192582306*p^90*q^1096+945279044*p^88*q^1098+ 1022438115*p^86*q^1100+273414268*p^84*q^1102+34545164*p^82*q^1104+2544946*p^80* q^1106+40868*p^78*q^1108+76*p^76*q^1110+72*p^99*q^1086+33168*p^97*q^1088+305196 *p^95*q^1090+5496378*p^93*q^1092+58003316*p^91*q^1094+481258874*p^89*q^1096+ 1217899522*p^87*q^1098+646647380*p^85*q^1100+113281761*p^83*q^1102+11646972*p^ 81*q^1104+487678*p^79*q^1106+2314*p^77*q^1108+2380*p^98*q^1086+150968*p^96*q^ 1088+1277146*p^94*q^1090+16246554*p^92*q^1092+170020730*p^90*q^1094+926234447*p ^88*q^1096+1093797694*p^86*q^1098+320280691*p^84*q^1100+40836560*p^82*q^1102+ 3332696*p^80*q^1104+62630*p^78*q^1106+136*p^76*q^1108+23660*p^97*q^1086+255594* p^95*q^1088+4889652*p^93*q^1090+50803050*p^91*q^1092+441035441*p^89*q^1094+ 1252985486*p^87*q^1096+718053648*p^85*q^1098+133991850*p^83*q^1100+14282424*p^ 81*q^1102+684010*p^79*q^1104+4892*p^77*q^1106+1620*p^98*q^1084+131284*p^96*q^ 1086+1104006*p^94*q^1088+14411002*p^92*q^1090+153847176*p^90*q^1092+878705330*p ^88*q^1094+1184849543*p^86*q^1096+365493954*p^84*q^1098+49390797*p^82*q^1100+ 4206540*p^80*q^1102+108026*p^78*q^1104+244*p^76*q^1106+13138*p^97*q^1084+307008 *p^95*q^1086+4189772*p^93*q^1088+44836380*p^91*q^1090+403832444*p^89*q^1092+ 1253551184*p^87*q^1094+804683562*p^85*q^1096+157440423*p^83*q^1098+17233288*p^ 81*q^1100+997742*p^79*q^1102+10098*p^77*q^1104+8*p^75*q^1106+280*p^98*q^1082+ 103888*p^96*q^1084+818274*p^94*q^1086+12987779*p^92*q^1088+134746822*p^90*q^ 1090+844612127*p^88*q^1092+1246038578*p^86*q^1094+428055582*p^84*q^1096+ 59219010*p^82*q^1098+5493857*p^80*q^1100+167178*p^78*q^1102+336*p^76*q^1104+4*p ^99*q^1080+11416*p^97*q^1082+316620*p^95*q^1084+3601421*p^93*q^1086+39417426*p^ 91*q^1088+366087232*p^89*q^1090+1274400066*p^87*q^1092+886420048*p^85*q^1094+ 185061986*p^83*q^1096+20434223*p^81*q^1098+1309474*p^79*q^1100+16020*p^77*q^ 1102+16*p^75*q^1104+138*p^98*q^1080+75504*p^96*q^1082+760906*p^94*q^1084+ 11700768*p^92*q^1086+121394806*p^90*q^1088+794897432*p^88*q^1090+1323302262*p^ 86*q^1092+481668070*p^84*q^1094+71037818*p^82*q^1096+6784648*p^80*q^1098+239990 *p^78*q^1100+1368*p^76*q^1102+36*p^99*q^1078+5196*p^97*q^1080+303990*p^95*q^ 1082+2978442*p^93*q^1084+34475433*p^91*q^1086+332500618*p^89*q^1088+1248635955* p^87*q^1090+988196076*p^85*q^1092+216615543*p^83*q^1094+25049888*p^81*q^1096+ 1841832*p^79*q^1098+37776*p^77*q^1100+14*p^75*q^1102+104*p^98*q^1078+50564*p^96 *q^1080+714364*p^94*q^1082+10302924*p^92*q^1084+106409006*p^90*q^1086+752869746 *p^88*q^1088+1381457802*p^86*q^1090+554720741*p^84*q^1092+84198086*p^82*q^1094+ 8320615*p^80*q^1096+328442*p^78*q^1098+1036*p^76*q^1100+2370*p^97*q^1078+287468 *p^95*q^1080+2436948*p^93*q^1082+30989078*p^91*q^1084+298531122*p^89*q^1086+ 1253899752*p^87*q^1088+1068548255*p^85*q^1090+254082714*p^83*q^1092+29629372*p^ 81*q^1094+2394172*p^79*q^1096+51484*p^77*q^1098+94*p^75*q^1100+426*p^98*q^1076+ 38880*p^96*q^1078+678210*p^94*q^1080+9138462*p^92*q^1082+94866751*p^90*q^1084+ 698274768*p^88*q^1086+1445862330*p^86*q^1088+623745844*p^84*q^1090+100588416*p^ 82*q^1092+10011632*p^80*q^1094+505968*p^78*q^1096+6158*p^76*q^1098+1436*p^97*q^ 1076+199592*p^95*q^1078+2179398*p^93*q^1080+27339119*p^91*q^1082+269773324*p^89 *q^1084+1211945634*p^87*q^1086+1178284778*p^85*q^1088+293758337*p^83*q^1090+ 35764006*p^81*q^1092+3132196*p^79*q^1094+73046*p^77*q^1096+12*p^75*q^1098+84*p^ 98*q^1074+21026*p^96*q^1076+735036*p^94*q^1078+7625298*p^92*q^1080+82746028*p^ 90*q^1082+652668158*p^88*q^1084+1481735548*p^86*q^1086+712787339*p^84*q^1088+ 118391420*p^82*q^1090+12390415*p^80*q^1092+698312*p^78*q^1094+9986*p^76*q^1096+ 2426*p^97*q^1074+168440*p^95*q^1076+1755986*p^93*q^1078+24928340*p^91*q^1080+ 241557068*p^89*q^1082+1194357596*p^87*q^1084+1262382182*p^85*q^1086+341749782*p ^83*q^1088+42774372*p^81*q^1090+3752290*p^79*q^1092+108970*p^77*q^1094+522*p^75 *q^1096+4*p^98*q^1072+12880*p^96*q^1074+642278*p^94*q^1076+6791916*p^92*q^1078+ 73608931*p^90*q^1080+598457266*p^88*q^1082+1532909254*p^86*q^1084+790253948*p^ 84*q^1086+140797870*p^82*q^1088+14478844*p^80*q^1090+1012065*p^78*q^1092+15814* p^76*q^1094+1680*p^97*q^1072+121128*p^95*q^1074+1696868*p^93*q^1076+21525029*p^ 91*q^1078+217303320*p^89*q^1080+1141599289*p^87*q^1082+1369947948*p^85*q^1084+ 392722658*p^83*q^1086+51685464*p^81*q^1088+4853796*p^79*q^1090+163580*p^77*q^ 1092+1492*p^75*q^1094+8*p^98*q^1070+11280*p^96*q^1072+547004*p^94*q^1074+ 5668738*p^92*q^1076+65212876*p^90*q^1078+552262431*p^88*q^1080+1544778278*p^86* q^1082+894786152*p^84*q^1084+165188782*p^82*q^1086+17497528*p^80*q^1088+1303604 *p^78*q^1090+21860*p^76*q^1092+16*p^74*q^1094+230*p^97*q^1070+78628*p^95*q^1072 +1626384*p^93*q^1074+19114836*p^91*q^1076+191160328*p^89*q^1078+1110377472*p^87 *q^1080+1452989825*p^85*q^1082+454932376*p^83*q^1084+60873859*p^81*q^1086+ 5862528*p^79*q^1088+245448*p^77*q^1090+2334*p^75*q^1092+12946*p^96*q^1070+ 459064*p^94*q^1072+4862210*p^92*q^1074+58391303*p^90*q^1076+505381792*p^88*q^ 1078+1572806384*p^86*q^1080+982087152*p^84*q^1082+193679019*p^82*q^1084+ 20974746*p^80*q^1086+1664472*p^78*q^1088+31664*p^76*q^1090+120*p^74*q^1092+276* p^97*q^1068+55106*p^95*q^1070+1516190*p^93*q^1072+16773592*p^91*q^1074+ 171574164*p^89*q^1076+1039688666*p^87*q^1078+1557564334*p^85*q^1080+517039069*p ^83*q^1082+74034218*p^81*q^1084+7084226*p^79*q^1086+399122*p^77*q^1088+5848*p^ 75*q^1090+4258*p^96*q^1068+351308*p^94*q^1070+4217960*p^92*q^1072+51016990*p^90 *q^1074+459675073*p^88*q^1076+1567434918*p^86*q^1078+1101047483*p^84*q^1080+ 226407832*p^82*q^1082+25246396*p^80*q^1084+2158116*p^78*q^1086+41818*p^76*q^ 1088+124*p^74*q^1090+22*p^97*q^1066+60368*p^95*q^1068+1332678*p^93*q^1070+ 14741570*p^91*q^1072+152454577*p^89*q^1074+1000880160*p^87*q^1076+1623760767*p^ 85*q^1078+594614290*p^83*q^1080+86228436*p^81*q^1082+8342612*p^79*q^1084+497402 *p^77*q^1086+5606*p^75*q^1088+32*p^98*q^1064+3484*p^96*q^1066+252902*p^94*q^ 1068+3924132*p^92*q^1070+45635096*p^90*q^1072+414873580*p^88*q^1074+1569022037* p^86*q^1076+1196874672*p^84*q^1078+264706137*p^82*q^1080+30284144*p^80*q^1082+ 2753225*p^78*q^1084+90868*p^76*q^1086+1342*p^74*q^1088+8*p^97*q^1064+37068*p^95 *q^1066+1150298*p^93*q^1068+12465524*p^91*q^1070+135596836*p^89*q^1072+ 929223059*p^87*q^1074+1717875608*p^85*q^1076+671249669*p^83*q^1078+104154914*p^ 81*q^1080+10059507*p^79*q^1082+684314*p^77*q^1084+5304*p^75*q^1086+4*p^98*q^ 1062+1020*p^96*q^1064+224040*p^94*q^1066+3573526*p^92*q^1068+40171228*p^90*q^ 1070+377515165*p^88*q^1072+1536030420*p^86*q^1074+1326763415*p^84*q^1076+ 305716256*p^82*q^1078+36326837*p^80*q^1080+3331160*p^78*q^1082+132755*p^76*q^ 1084+1356*p^74*q^1086+360*p^97*q^1062+25840*p^95*q^1064+941028*p^93*q^1066+ 10908938*p^91*q^1068+119620984*p^89*q^1070+876684008*p^87*q^1072+1770008091*p^ 85*q^1074+764095178*p^83*q^1076+121497716*p^81*q^1078+12152966*p^79*q^1080+ 889395*p^77*q^1082+12780*p^75*q^1084+132*p^73*q^1086+436*p^96*q^1062+189144*p^ 94*q^1064+3147492*p^92*q^1066+35889787*p^90*q^1068+337908760*p^88*q^1070+ 1523837392*p^86*q^1072+1424525492*p^84*q^1074+356540618*p^82*q^1076+43514376*p^ 80*q^1078+3900888*p^78*q^1080+185474*p^76*q^1082+508*p^74*q^1084+144*p^97*q^ 1060+14548*p^95*q^1062+763312*p^93*q^1064+9757498*p^91*q^1066+106866862*p^89*q^ 1068+806026764*p^87*q^1070+1840050120*p^85*q^1072+854039587*p^83*q^1074+ 144043488*p^81*q^1076+14377397*p^79*q^1078+1261952*p^77*q^1080+28262*p^75*q^ 1082+410*p^73*q^1084+1756*p^96*q^1060+135668*p^94*q^1062+2794264*p^92*q^1064+ 30778880*p^90*q^1066+303627635*p^88*q^1068+1466815588*p^86*q^1070+1563513279*p^ 84*q^1072+410552034*p^82*q^1074+52500136*p^80*q^1076+4880634*p^78*q^1078+235014 *p^76*q^1080+944*p^74*q^1082+8*p^97*q^1058+6208*p^95*q^1060+686694*p^93*q^1062+ 8559700*p^91*q^1064+94711562*p^89*q^1066+754981410*p^87*q^1068+1872158430*p^85* q^1070+966951642*p^83*q^1072+166806935*p^81*q^1074+17288848*p^79*q^1076+1438650 *p^77*q^1078+42956*p^75*q^1080+24*p^73*q^1082+1720*p^96*q^1058+102580*p^94*q^ 1060+2382160*p^92*q^1062+27645414*p^90*q^1064+271707552*p^88*q^1066+1428057990* p^86*q^1068+1655701628*p^84*q^1070+474112212*p^82*q^1072+62066794*p^80*q^1074+ 5637167*p^78*q^1076+375124*p^76*q^1078+3984*p^74*q^1080+78*p^72*q^1082+7658*p^ 95*q^1058+545446*p^93*q^1060+7610048*p^91*q^1062+83693070*p^89*q^1064+684754021 *p^87*q^1066+1921225348*p^85*q^1068+1070063509*p^83*q^1070+198657148*p^81*q^ 1072+20983684*p^79*q^1074+1885418*p^77*q^1076+59072*p^75*q^1078+24*p^73*q^1080+ 392*p^96*q^1056+55256*p^94*q^1058+2083368*p^92*q^1060+23701180*p^90*q^1062+ 243962984*p^88*q^1064+1359173246*p^86*q^1066+1790364089*p^84*q^1068+541454714*p ^82*q^1070+74201265*p^80*q^1072+6718392*p^78*q^1074+491220*p^76*q^1076+7288*p^ 74*q^1078+4*p^97*q^1054+9262*p^95*q^1056+465974*p^93*q^1058+6729992*p^91*q^1060 +74512360*p^89*q^1062+633337886*p^87*q^1064+1924044316*p^85*q^1066+1199021092*p ^83*q^1068+229084012*p^81*q^1070+25094968*p^79*q^1072+2215556*p^77*q^1074+78620 *p^75*q^1076+316*p^73*q^1078+6*p^71*q^1080+124*p^96*q^1054+46584*p^94*q^1056+ 1781774*p^92*q^1058+21195626*p^90*q^1060+215779032*p^88*q^1062+1310722578*p^86* q^1064+1874743706*p^84*q^1066+622130279*p^82*q^1068+86755666*p^80*q^1070+ 8160346*p^78*q^1072+635804*p^76*q^1074+14554*p^74*q^1076+8*p^97*q^1052+5300*p^ 95*q^1054+319686*p^93*q^1056+5919502*p^91*q^1058+65696550*p^89*q^1060+572285702 *p^87*q^1062+1940704618*p^85*q^1064+1315198127*p^83*q^1066+270027350*p^81*q^ 1068+30468470*p^79*q^1070+2628508*p^77*q^1072+134014*p^75*q^1074+656*p^73*q^ 1076+56*p^96*q^1052+36250*p^94*q^1054+1577652*p^92*q^1056+18305390*p^90*q^1058+ 193584662*p^88*q^1060+1224503206*p^86*q^1062+2007877113*p^84*q^1064+702628974*p ^82*q^1066+103462119*p^80*q^1068+9652506*p^78*q^1070+842966*p^76*q^1072+14572*p ^74*q^1074+8*p^72*q^1076+16*p^97*q^1050+2408*p^95*q^1052+252840*p^93*q^1054+ 5144902*p^91*q^1056+57856846*p^89*q^1058+523605020*p^87*q^1060+1919944917*p^85* q^1062+1456864388*p^83*q^1064+311850672*p^81*q^1066+36223500*p^79*q^1068+ 3121318*p^77*q^1070+178348*p^75*q^1072+2736*p^73*q^1074+88*p^96*q^1050+33332*p^ 94*q^1052+1284268*p^92*q^1054+16604712*p^90*q^1056+171743698*p^88*q^1058+ 1164801180*p^86*q^1060+2068766702*p^84*q^1062+804288297*p^82*q^1064+120294040*p ^80*q^1066+11708652*p^78*q^1068+989124*p^76*q^1070+25440*p^74*q^1072+16*p^72*q^ 1074+36*p^97*q^1048+996*p^95*q^1050+179264*p^93*q^1052+4544784*p^91*q^1054+ 50705850*p^89*q^1056+469184326*p^87*q^1058+1909250058*p^85*q^1060+1578890567*p^ 83*q^1062+364284200*p^81*q^1064+43415657*p^79*q^1066+3750850*p^77*q^1068+273960 *p^75*q^1070+3412*p^73*q^1072+196*p^96*q^1048+21944*p^94*q^1050+1040418*p^92*q^ 1052+14319090*p^90*q^1054+153470458*p^88*q^1056+1079375148*p^86*q^1058+ 2177391287*p^84*q^1060+903303214*p^82*q^1062+143403042*p^80*q^1064+14096280*p^ 78*q^1066+1202926*p^76*q^1068+38476*p^74*q^1070+284*p^72*q^1072+616*p^95*q^1048 +140956*p^93*q^1050+4008598*p^91*q^1052+44586296*p^89*q^1054+426773866*p^87*q^ 1056+1858330394*p^85*q^1058+1736812742*p^83*q^1060+415741468*p^81*q^1062+ 51254248*p^79*q^1064+4447656*p^77*q^1066+336498*p^75*q^1068+3542*p^73*q^1070+ 456*p^96*q^1046+12566*p^94*q^1048+860912*p^92*q^1050+12596545*p^90*q^1052+ 135876974*p^88*q^1054+1014180434*p^86*q^1056+2223216762*p^84*q^1058+1020184585* p^82*q^1060+167184740*p^80*q^1062+17108974*p^78*q^1064+1382756*p^76*q^1066+ 68510*p^74*q^1068+728*p^72*q^1070+1180*p^95*q^1046+122242*p^93*q^1048+3394806*p ^91*q^1050+40016926*p^89*q^1052+379564103*p^87*q^1054+1821250808*p^85*q^1056+ 1854017013*p^83*q^1058+485146932*p^81*q^1060+60799858*p^79*q^1062+5312984*p^77* q^1064+457356*p^75*q^1066+5764*p^73*q^1068+8*p^71*q^1070+76*p^96*q^1044+5132*p^ 94*q^1046+589462*p^92*q^1048+11125378*p^90*q^1050+119015327*p^88*q^1052+ 927845398*p^86*q^1054+2308368029*p^84*q^1056+1139286372*p^82*q^1058+197675244*p ^80*q^1060+20512892*p^78*q^1062+1748084*p^76*q^1064+92944*p^74*q^1066+556*p^72* q^1068+4*p^97*q^1042+2640*p^95*q^1044+90354*p^93*q^1046+3052068*p^91*q^1048+ 34693651*p^89*q^1050+345637096*p^87*q^1052+1749495952*p^85*q^1054+2014576804*p^ 83*q^1056+550141042*p^81*q^1058+71586404*p^79*q^1060+6324445*p^77*q^1062+484646 *p^75*q^1064+12165*p^73*q^1066+104*p^71*q^1068+8*p^96*q^1042+5928*p^94*q^1044+ 510562*p^92*q^1046+9740752*p^90*q^1048+106445276*p^88*q^1050+861722490*p^86*q^ 1052+2316104462*p^84*q^1054+1278969786*p^82*q^1056+227967792*p^80*q^1058+ 24831382*p^78*q^1060+2035682*p^76*q^1062+148206*p^74*q^1064+560*p^72*q^1066+ 1452*p^95*q^1042+48342*p^93*q^1044+2391915*p^91*q^1046+30756086*p^89*q^1048+ 304927480*p^87*q^1050+1690642466*p^85*q^1052+2130558113*p^83*q^1054+637766878*p ^81*q^1056+85294785*p^79*q^1058+7683006*p^77*q^1060+629796*p^75*q^1062+20684*p^ 73*q^1064+96*p^71*q^1066+80*p^96*q^1040+9744*p^94*q^1042+425116*p^92*q^1044+ 8653910*p^90*q^1046+94137737*p^88*q^1048+782854114*p^86*q^1050+2370527260*p^84* q^1052+1407955708*p^82*q^1054+268396608*p^80*q^1056+29080826*p^78*q^1058+ 2392337*p^76*q^1060+175328*p^74*q^1062+1280*p^72*q^1064+8*p^70*q^1066+308*p^95* q^1040+33688*p^93*q^1042+1915004*p^91*q^1044+26726626*p^89*q^1046+274732370*p^ 87*q^1048+1600874363*p^85*q^1050+2284438050*p^83*q^1052+720949830*p^81*q^1054+ 100887752*p^79*q^1056+9315410*p^77*q^1058+782738*p^75*q^1060+32724*p^73*q^1062+ 24*p^71*q^1064+8*p^96*q^1038+10332*p^94*q^1040+310152*p^92*q^1042+7720901*p^90* q^1044+83091654*p^88*q^1046+721757325*p^86*q^1048+2349282008*p^84*q^1050+ 1568550652*p^82*q^1052+308708506*p^80*q^1054+34700870*p^78*q^1056+2794980*p^76* q^1058+200283*p^74*q^1060+3876*p^72*q^1062+8*p^70*q^1064+708*p^95*q^1038+34772* p^93*q^1040+1608686*p^91*q^1042+23692408*p^89*q^1044+242516657*p^87*q^1046+ 1528496936*p^85*q^1048+2378676428*p^83*q^1050+826768856*p^81*q^1052+118200948*p ^79*q^1054+11453206*p^77*q^1056+920152*p^75*q^1058+56446*p^73*q^1060+56*p^71*q^ 1062+4484*p^94*q^1038+202406*p^92*q^1040+6446118*p^90*q^1042+73183574*p^88*q^ 1044+648577120*p^86*q^1046+2363556675*p^84*q^1048+1713012136*p^82*q^1050+ 362226172*p^80*q^1052+41590100*p^78*q^1054+3343878*p^76*q^1056+273360*p^74*q^ 1058+4724*p^72*q^1060+248*p^95*q^1036+41374*p^93*q^1038+1322922*p^91*q^1040+ 20895994*p^89*q^1042+218126210*p^87*q^1044+1430043003*p^85*q^1046+2528298830*p^ 83*q^1048+927615062*p^81*q^1050+138752176*p^79*q^1052+13408320*p^77*q^1054+ 1066368*p^75*q^1056+59016*p^73*q^1058+464*p^71*q^1060+4416*p^94*q^1036+163520*p ^92*q^1038+5484848*p^90*q^1040+64737886*p^88*q^1042+593167573*p^86*q^1044+ 2312612918*p^84*q^1046+1882363536*p^82*q^1048+413870024*p^80*q^1050+49270454*p^ 78*q^1052+4076664*p^76*q^1054+337060*p^74*q^1056+12378*p^72*q^1058+24*p^95*q^ 1034+31522*p^93*q^1036+1007624*p^91*q^1038+18660888*p^89*q^1040+191522460*p^87* q^1042+1345933888*p^85*q^1044+2592602596*p^83*q^1046+1061878048*p^81*q^1048+ 162803348*p^79*q^1050+16374068*p^77*q^1052+1260342*p^75*q^1054+87008*p^73*q^ 1056+758*p^71*q^1058+2820*p^94*q^1034+140794*p^92*q^1036+4548052*p^90*q^1038+ 56673248*p^88*q^1040+530186646*p^86*q^1042+2294271607*p^84*q^1044+2036445702*p^ 82*q^1046+482103856*p^80*q^1048+58117584*p^78*q^1050+4950131*p^76*q^1052+400580 *p^74*q^1054+14459*p^72*q^1056+16*p^70*q^1058+12*p^95*q^1032+24772*p^93*q^1034+ 778318*p^91*q^1036+16390272*p^89*q^1038+171993046*p^87*q^1040+1246886238*p^85*q ^1042+2709246996*p^83*q^1044+1179452085*p^81*q^1046+191119572*p^79*q^1048+ 19275865*p^77*q^1050+1448826*p^75*q^1052+108270*p^73*q^1054+1492*p^71*q^1056+24 *p^96*q^1030+868*p^94*q^1032+138958*p^92*q^1034+3825088*p^90*q^1036+49854836*p^ 88*q^1038+481504362*p^86*q^1040+2210202260*p^84*q^1042+2219057936*p^82*q^1044+ 548988102*p^80*q^1046+68917279*p^78*q^1048+6059844*p^76*q^1050+465204*p^74*q^ 1052+24740*p^72*q^1054+140*p^70*q^1056+18892*p^93*q^1032+598406*p^91*q^1034+ 14098336*p^89*q^1036+151463581*p^87*q^1038+1162053798*p^85*q^1040+2747720296*p^ 83*q^1042+1333650280*p^81*q^1044+222105373*p^79*q^1046+23389510*p^77*q^1048+ 1685658*p^75*q^1050+146308*p^73*q^1052+2542*p^71*q^1054+2*p^96*q^1028+448*p^94* q^1030+115176*p^92*q^1032+3097188*p^90*q^1034+44569369*p^88*q^1036+426779350*p^ 86*q^1038+2162674384*p^84*q^1040+2365677866*p^82*q^1042+637588703*p^80*q^1044+ 81096328*p^78*q^1046+7279931*p^76*q^1048+582216*p^74*q^1050+29590*p^72*q^1052+ 72*p^70*q^1054+272*p^95*q^1028+9880*p^93*q^1030+512058*p^91*q^1032+12102880*p^ 89*q^1034+134257026*p^87*q^1036+1063561769*p^85*q^1038+2836358350*p^83*q^1040+ 1473158616*p^81*q^1042+259279658*p^79*q^1044+27387704*p^77*q^1046+2100994*p^75* q^1048+152774*p^73*q^1050+5160*p^71*q^1052+12*p^69*q^1054+8*p^96*q^1026+60*p^94 *q^1028+96388*p^92*q^1030+2513864*p^90*q^1032+39328894*p^88*q^1034+386940966*p^ 86*q^1036+2059384384*p^84*q^1038+2548654662*p^82*q^1040+722275852*p^80*q^1042+ 95729047*p^78*q^1044+8763522*p^76*q^1046+612526*p^74*q^1048+47212*p^72*q^1050+ 306*p^70*q^1052+62*p^95*q^1026+6456*p^93*q^1028+445200*p^91*q^1030+10328482*p^ 89*q^1032+117830552*p^87*q^1034+981605490*p^85*q^1036+2825089154*p^83*q^1038+ 1655136094*p^81*q^1040+299218794*p^79*q^1042+33090520*p^77*q^1044+2568894*p^75* q^1046+212260*p^73*q^1048+7058*p^71*q^1050+14*p^96*q^1024+1224*p^94*q^1026+ 63930*p^92*q^1028+1992222*p^90*q^1030+34633572*p^88*q^1032+342002730*p^86*q^ 1034+1981037184*p^84*q^1036+2687122002*p^82*q^1038+831106296*p^80*q^1040+ 112799494*p^78*q^1042+10478088*p^76*q^1044+718956*p^74*q^1046+55898*p^72*q^1048 +612*p^70*q^1050+88*p^95*q^1024+1856*p^93*q^1026+396900*p^91*q^1028+8659804*p^ 89*q^1030+105202912*p^87*q^1032+891069712*p^85*q^1034+2878959596*p^83*q^1036+ 1807315028*p^81*q^1038+350698700*p^79*q^1040+38506576*p^77*q^1042+3119602*p^75* q^1044+240852*p^73*q^1046+10728*p^71*q^1048+18*p^69*q^1050+918*p^94*q^1024+ 51280*p^92*q^1026+1648154*p^90*q^1028+30278420*p^88*q^1030+308928598*p^86*q^ 1032+1866055260*p^84*q^1034+2854304628*p^82*q^1036+935696700*p^80*q^1038+ 131598168*p^78*q^1040+12637466*p^76*q^1042+851560*p^74*q^1044+60792*p^72*q^1046 +1464*p^70*q^1048+187*p^95*q^1022+3620*p^93*q^1024+308246*p^91*q^1026+7300120*p ^89*q^1028+92569310*p^87*q^1030+812740008*p^85*q^1032+2832323434*p^83*q^1034+ 2010109008*p^81*q^1036+403464953*p^79*q^1038+46434616*p^77*q^1040+3792920*p^75* q^1042+277568*p^73*q^1044+21072*p^71*q^1046+28*p^69*q^1048+4*p^96*q^1020+484*p^ 94*q^1022+24700*p^92*q^1024+1405240*p^90*q^1026+26042886*p^88*q^1028+270484462* p^86*q^1030+1778477648*p^84*q^1032+2968388662*p^82*q^1034+1072055958*p^80*q^ 1036+153722792*p^78*q^1038+15197954*p^76*q^1040+1030322*p^74*q^1042+79792*p^72* q^1044+1332*p^70*q^1046+16*p^95*q^1020+5688*p^93*q^1022+256802*p^91*q^1024+ 6043534*p^89*q^1026+82581756*p^87*q^1028+735713591*p^85*q^1030+2833954798*p^83* q^1032+2178458404*p^81*q^1034+467736320*p^79*q^1036+54128072*p^77*q^1038+ 4501036*p^75*q^1040+307846*p^73*q^1042+18624*p^71*q^1044+228*p^69*q^1046+1201*p ^94*q^1020+15980*p^92*q^1022+1216980*p^90*q^1024+22634448*p^88*q^1026+243838379 *p^86*q^1028+1645998910*p^84*q^1030+3124728190*p^82*q^1032+1194674104*p^80*q^ 1034+180993401*p^78*q^1036+18030358*p^76*q^1038+1297712*p^74*q^1040+99872*p^72* q^1042+5440*p^70*q^1044+86*p^95*q^1018+2740*p^93*q^1020+183084*p^91*q^1022+ 4891778*p^89*q^1024+72207440*p^87*q^1026+665721340*p^85*q^1028+2757208779*p^83* q^1030+2390976424*p^81*q^1032+538344776*p^79*q^1034+64390688*p^77*q^1036+ 5564248*p^75*q^1038+339948*p^73*q^1040+22770*p^71*q^1042+52*p^69*q^1044+456*p^ 94*q^1018+22114*p^92*q^1020+1006148*p^90*q^1022+19630604*p^88*q^1024+214360524* p^86*q^1026+1551672671*p^84*q^1028+3194329470*p^82*q^1030+1363211256*p^80*q^ 1032+208802254*p^78*q^1034+21397434*p^76*q^1036+1529580*p^74*q^1038+126133*p^72 *q^1040+6640*p^70*q^1042+16*p^68*q^1044+8*p^95*q^1016+4977*p^93*q^1018+109422*p ^91*q^1020+4177688*p^89*q^1022+63591438*p^87*q^1024+596553913*p^85*q^1026+ 2720048774*p^83*q^1028+2565647851*p^81*q^1030+620926318*p^79*q^1032+75274062*p^ 77*q^1034+6798244*p^75*q^1036+414474*p^73*q^1038+24994*p^71*q^1040+760*p^69*q^ 1042+686*p^94*q^1016+15432*p^92*q^1018+859194*p^90*q^1020+16474744*p^88*q^1022+ 192312926*p^86*q^1024+1426873140*p^84*q^1026+3317341796*p^82*q^1028+1507495030* p^80*q^1030+245932755*p^78*q^1032+25164200*p^76*q^1034+1862665*p^74*q^1036+ 125364*p^72*q^1038+7464*p^70*q^1040+3840*p^93*q^1016+95844*p^91*q^1018+3583670* p^89*q^1020+55573437*p^87*q^1022+540598242*p^85*q^1024+2604000713*p^83*q^1026+ 2786688262*p^81*q^1028+708085913*p^79*q^1030+88867424*p^77*q^1032+8171361*p^75* q^1034+490230*p^73*q^1036+44376*p^71*q^1038+1728*p^69*q^1040+268*p^94*q^1014+ 17076*p^92*q^1016+613350*p^90*q^1018+13740962*p^88*q^1020+168366400*p^86*q^1022 +1322064362*p^84*q^1024+3349351008*p^82*q^1026+1702831296*p^80*q^1028+285106084 *p^78*q^1030+30348972*p^76*q^1032+2298818*p^74*q^1034+154230*p^72*q^1036+5564*p ^70*q^1038+42*p^68*q^1040+3462*p^93*q^1014+73200*p^91*q^1016+3068400*p^89*q^ 1018+49145996*p^87*q^1020+479920137*p^85*q^1022+2544399658*p^83*q^1024+ 2954171270*p^81*q^1026+814162806*p^79*q^1028+102997733*p^77*q^1030+9484428*p^75 *q^1032+598096*p^73*q^1034+44102*p^71*q^1036+2284*p^69*q^1038+22*p^94*q^1012+ 17946*p^92*q^1014+490330*p^90*q^1016+11807748*p^88*q^1018+150442294*p^86*q^1020 +1209063224*p^84*q^1022+3421841492*p^82*q^1024+1866578412*p^80*q^1026+332683886 *p^78*q^1028+35422340*p^76*q^1030+2957311*p^74*q^1032+154112*p^72*q^1034+10486* p^70*q^1036+268*p^68*q^1038+20*p^95*q^1010+3116*p^93*q^1012+63164*p^91*q^1014+ 2509210*p^89*q^1016+42122191*p^87*q^1018+431970606*p^85*q^1020+2397006852*p^83* q^1022+3175904292*p^81*q^1024+924662197*p^79*q^1026+121923226*p^77*q^1028+ 11608741*p^75*q^1030+709860*p^73*q^1032+62474*p^71*q^1034+2476*p^69*q^1036+28*p ^94*q^1010+14456*p^92*q^1012+357834*p^90*q^1014+10042266*p^88*q^1016+131451330* p^86*q^1018+1112459437*p^84*q^1020+3415686528*p^82*q^1022+2092885718*p^80*q^ 1024+382460648*p^78*q^1026+42049378*p^76*q^1028+3461612*p^74*q^1030+178552*p^72 *q^1032+12448*p^70*q^1034+380*p^68*q^1036+594*p^93*q^1010+63780*p^91*q^1012+ 2121650*p^89*q^1014+36339624*p^87*q^1016+384267292*p^85*q^1018+2304811038*p^83* q^1020+3317836195*p^81*q^1022+1056286724*p^79*q^1024+142084733*p^77*q^1026+ 13524478*p^75*q^1028+929269*p^73*q^1030+67352*p^71*q^1032+1598*p^69*q^1034+20*p ^67*q^1036+228*p^94*q^1008+17966*p^92*q^1010+275467*p^90*q^1012+8466018*p^88*q^ 1014+117540188*p^86*q^1016+1005552968*p^84*q^1018+3439569417*p^82*q^1020+ 2276497248*p^80*q^1022+446899203*p^78*q^1024+48782036*p^76*q^1026+4258442*p^74* q^1028+211528*p^72*q^1030+17596*p^70*q^1032+1096*p^68*q^1034+552*p^93*q^1008+ 53624*p^91*q^1010+1666098*p^89*q^1012+31240003*p^87*q^1014+343384124*p^85*q^ 1016+2152121271*p^83*q^1018+3519373426*p^81*q^1020+1189007573*p^79*q^1022+ 167645716*p^77*q^1024+16269675*p^75*q^1026+1171050*p^73*q^1028+56440*p^71*q^ 1030+2848*p^69*q^1032+20*p^67*q^1034+32*p^94*q^1006+7902*p^92*q^1008+235176*p^ 90*q^1010+7307624*p^88*q^1012+102075836*p^86*q^1014+918839253*p^84*q^1016+ 3379356212*p^82*q^1018+2522061264*p^80*q^1020+512289210*p^78*q^1022+57912062*p^ 76*q^1024+5025186*p^74*q^1026+261222*p^72*q^1028+31204*p^70*q^1030+427*p^68*q^ 1032+1073*p^93*q^1006+67096*p^91*q^1008+1267381*p^89*q^1010+26718102*p^87*q^ 1012+303349016*p^85*q^1014+2047782996*p^83*q^1016+3633734529*p^81*q^1018+ 1353311426*p^79*q^1020+193759831*p^77*q^1022+19149864*p^75*q^1024+1433112*p^73* q^1026+60128*p^71*q^1028+2482*p^69*q^1030+260*p^67*q^1032+5252*p^92*q^1006+ 192354*p^90*q^1008+6297798*p^88*q^1010+90320072*p^86*q^1012+826341568*p^84*q^ 1014+3356249960*p^82*q^1016+2718077022*p^80*q^1018+592470713*p^78*q^1020+ 67802008*p^76*q^1022+6004579*p^74*q^1024+350578*p^72*q^1026+25496*p^70*q^1028+ 456*p^68*q^1030+724*p^93*q^1004+50789*p^91*q^1006+1019272*p^89*q^1008+22626290* p^87*q^1010+271056598*p^85*q^1012+1885810849*p^83*q^1014+3812511588*p^81*q^1016 +1508498607*p^79*q^1018+229136012*p^77*q^1020+22507654*p^75*q^1022+1804752*p^73 *q^1024+67030*p^71*q^1026+9356*p^69*q^1028+230*p^67*q^1030+4129*p^92*q^1004+ 204746*p^90*q^1006+5088010*p^88*q^1008+78282122*p^86*q^1010+749217388*p^84*q^ 1012+3250372108*p^82*q^1014+2979427113*p^80*q^1016+679590740*p^78*q^1018+ 80007731*p^76*q^1020+7144606*p^74*q^1022+435450*p^72*q^1024+22688*p^70*q^1026+ 104*p^68*q^1028+24*p^66*q^1030+4*p^95*q^1000+84*p^93*q^1002+33370*p^91*q^1004+ 765118*p^89*q^1006+19931494*p^87*q^1008+238421977*p^85*q^1010+1770435448*p^83*q ^1012+3878733289*p^81*q^1014+1710308682*p^79*q^1016+262692438*p^77*q^1018+ 26440824*p^75*q^1020+2128919*p^73*q^1022+93788*p^71*q^1024+10816*p^69*q^1026+32 *p^67*q^1028+4996*p^92*q^1002+202023*p^90*q^1004+4231666*p^88*q^1006+68051812*p ^86*q^1008+670659482*p^84*q^1010+3190927756*p^82*q^1012+3172110728*p^80*q^1014+ 781183080*p^78*q^1016+93762684*p^76*q^1018+8484510*p^74*q^1020+569982*p^72*q^ 1022+16210*p^70*q^1024+1468*p^68*q^1026+79*p^66*q^1028+8*p^95*q^998+68*p^93*q^ 1000+24742*p^91*q^1002+668976*p^89*q^1004+16936418*p^87*q^1006+213261280*p^85*q ^1008+1617882251*p^83*q^1010+3993885674*p^81*q^1012+1892402070*p^79*q^1014+ 309810514*p^77*q^1016+31192038*p^75*q^1018+2613678*p^73*q^1020+118962*p^71*q^ 1022+11824*p^69*q^1024+44*p^94*q^998+1876*p^92*q^1000+153178*p^90*q^1002+ 3252285*p^88*q^1004+58144690*p^86*q^1006+602285293*p^84*q^1008+3046958412*p^82* q^1010+3452246174*p^80*q^1012+888599484*p^78*q^1014+110815638*p^76*q^1016+ 10052044*p^74*q^1018+688205*p^72*q^1020+21288*p^70*q^1022+2956*p^68*q^1024+4*p^ 95*q^996+20408*p^91*q^1000+659228*p^89*q^1002+14650396*p^87*q^1004+187415061*p^ 85*q^1006+1509924810*p^83*q^1008+4024515248*p^81*q^1010+2116518544*p^79*q^1012+ 355610486*p^77*q^1014+36612860*p^75*q^1016+2983586*p^73*q^1018+164418*p^71*q^ 1020+6824*p^69*q^1022+84*p^67*q^1024+14*p^65*q^1026+96*p^94*q^996+1164*p^92*q^ 998+133551*p^90*q^1000+2608986*p^88*q^1002+51057250*p^86*q^1004+535506134*p^84* q^1006+2940802488*p^82*q^1008+3623002740*p^80*q^1010+1021983060*p^78*q^1012+ 128843838*p^76*q^1014+11807282*p^74*q^1016+917162*p^72*q^1018+27228*p^70*q^1020 +4364*p^68*q^1022+184*p^93*q^996+15686*p^91*q^998+545222*p^89*q^1000+12220886*p ^87*q^1002+164521538*p^85*q^1004+1365104074*p^83*q^1006+4100286720*p^81*q^1008+ 2330539943*p^79*q^1010+416384486*p^77*q^1012+43428679*p^75*q^1014+3719144*p^73* q^1016+194204*p^71*q^1018+4144*p^69*q^1020+492*p^67*q^1022+76*p^94*q^994+210*p^ 92*q^996+89500*p^90*q^998+2237145*p^88*q^1000+43946064*p^86*q^1002+481957157*p^ 84*q^1004+2775035192*p^82*q^1006+3882679539*p^80*q^1008+1151961272*p^78*q^1010+ 151058382*p^76*q^1012+13818254*p^74*q^1014+1028892*p^72*q^1016+43208*p^70*q^ 1018+4692*p^68*q^1020+p^64*q^1024+508*p^93*q^994+9866*p^91*q^996+513659*p^89*q^ 998+9988766*p^87*q^1000+143419920*p^85*q^1002+1257166374*p^83*q^1004+4058996543 *p^81*q^1006+2596867306*p^79*q^1008+476126152*p^77*q^1010+51729112*p^75*q^1012+ 4317853*p^73*q^1014+268310*p^71*q^1016+4748*p^69*q^1018+760*p^67*q^1020+12*p^94 *q^992+460*p^92*q^994+79376*p^90*q^996+1900984*p^88*q^998+38599300*p^86*q^1000+ 428097164*p^84*q^1002+2654713043*p^82*q^1004+4037375952*p^80*q^1006+1313036928* p^78*q^1008+176280304*p^76*q^1010+16121509*p^74*q^1012+1278798*p^72*q^1014+ 56435*p^70*q^1016+1104*p^68*q^1018+40*p^66*q^1020+700*p^93*q^992+4844*p^91*q^ 994+405680*p^89*q^996+8197904*p^87*q^998+126036626*p^85*q^1000+1128424343*p^83* q^1002+4068481822*p^81*q^1004+2816531458*p^79*q^1006+556958298*p^77*q^1008+ 59937244*p^75*q^1010+5182460*p^73*q^1012+337086*p^71*q^1014+8160*p^69*q^1016+ 2192*p^67*q^1018+1568*p^92*q^992+57854*p^90*q^994+1653507*p^88*q^996+32707846*p ^86*q^998+381336359*p^84*q^1000+2472314612*p^82*q^1002+4278475165*p^80*q^1004+ 1477848852*p^78*q^1006+207110265*p^76*q^1008+19459570*p^74*q^1010+1540282*p^72* q^1012+64428*p^70*q^1014+712*p^68*q^1016+40*p^66*q^1018+248*p^93*q^990+1920*p^ 91*q^992+330414*p^89*q^994+6857120*p^87*q^996+109430259*p^85*q^998+1033299218*p ^83*q^1000+3979473686*p^81*q^1002+3103642506*p^79*q^1004+633240122*p^77*q^1006+ 70615648*p^75*q^1008+5848624*p^73*q^1010+405618*p^71*q^1012+16137*p^69*q^1014+ 762*p^67*q^1016+16*p^94*q^988+3260*p^92*q^990+40974*p^90*q^992+1475426*p^88*q^ 994+28184251*p^86*q^996+336446996*p^84*q^998+2338937823*p^82*q^1000+4383811344* p^80*q^1002+1676628934*p^78*q^1004+239502784*p^76*q^1006+23092456*p^74*q^1008+ 1834136*p^72*q^1010+92188*p^70*q^1012+804*p^68*q^1014+520*p^66*q^1016+36*p^93*q ^988+4248*p^91*q^990+272032*p^89*q^992+5729450*p^87*q^994+95803202*p^85*q^996+ 922631955*p^83*q^998+3927230132*p^81*q^1000+3338392829*p^79*q^1002+734385398*p^ 77*q^1004+83511007*p^75*q^1006+7041808*p^73*q^1008+527958*p^71*q^1010+16732*p^ 69*q^1012+78*p^67*q^1014+2412*p^92*q^988+18258*p^90*q^990+1230160*p^88*q^992+ 23295436*p^86*q^994+298566352*p^84*q^996+2150625366*p^82*q^998+4590655165*p^80* q^1000+1867496182*p^78*q^1002+281467584*p^76*q^1004+26893106*p^74*q^1006+ 2133249*p^72*q^1008+108778*p^70*q^1010+3180*p^68*q^1012+460*p^66*q^1014+204*p^ 93*q^986+8120*p^91*q^988+212823*p^89*q^990+4884586*p^87*q^992+83758079*p^85*q^ 994+838476156*p^83*q^996+3800223215*p^81*q^998+3639559262*p^79*q^1000+834407899 *p^77*q^1002+97434466*p^75*q^1004+8283451*p^73*q^1006+621842*p^71*q^1008+22212* p^69*q^1010+28*p^67*q^1012+48*p^65*q^1014+808*p^92*q^986+19276*p^90*q^988+ 1080220*p^88*q^990+19946358*p^86*q^992+261478844*p^84*q^994+2010727830*p^82*q^ 996+4632118060*p^80*q^998+2106789414*p^78*q^1000+323692844*p^76*q^1002+31980676 *p^74*q^1004+2523426*p^72*q^1006+160914*p^70*q^1008+4604*p^68*q^1010+4*p^66*q^ 1012+28*p^93*q^984+12058*p^91*q^986+136218*p^89*q^988+4140914*p^87*q^990+ 72510524*p^85*q^992+745763676*p^83*q^994+3699169212*p^81*q^996+3876212120*p^79* q^998+964622238*p^77*q^1000+114633107*p^75*q^1002+9920298*p^73*q^1004+742569*p^ 71*q^1006+23174*p^69*q^1008+334*p^67*q^1010+158*p^65*q^1012+1176*p^92*q^984+ 16144*p^90*q^986+871474*p^88*q^988+16738708*p^86*q^990+230744162*p^84*q^992+ 1832121010*p^82*q^994+4772520985*p^80*q^996+2325793830*p^78*q^998+379217153*p^ 76*q^1000+37457834*p^74*q^1002+2957108*p^72*q^1004+197904*p^70*q^1006+5786*p^68 *q^1008+6932*p^91*q^984+105745*p^89*q^986+3660072*p^87*q^988+61796264*p^85*q^ 990+674418194*p^83*q^992+3526839219*p^81*q^994+4183186276*p^79*q^996+1089622343 *p^77*q^998+134273672*p^75*q^1000+11668034*p^73*q^1002+845016*p^71*q^1004+38364 *p^69*q^1006+860*p^67*q^1008+640*p^92*q^982+31930*p^90*q^984+694082*p^88*q^986+ 14040278*p^86*q^988+203088488*p^84*q^990+1697032469*p^82*q^992+4764084714*p^80* q^994+2596593710*p^78*q^996+434713760*p^76*q^998+44567099*p^74*q^1000+3393446*p ^72*q^1002+257887*p^70*q^1004+5344*p^68*q^1006+12*p^66*q^1008+28*p^64*q^1010+ 5720*p^91*q^982+74224*p^89*q^984+3151388*p^87*q^986+53831932*p^85*q^988+ 593628575*p^83*q^990+3395292646*p^81*q^992+4388605927*p^79*q^994+1254119384*p^ 77*q^996+157079357*p^75*q^998+13872530*p^73*q^1000+1083462*p^71*q^1002+50848*p^ 69*q^1004+1350*p^67*q^1006+96*p^92*q^980+32452*p^90*q^982+512907*p^88*q^984+ 11805158*p^86*q^986+177520672*p^84*q^988+1534843676*p^82*q^990+4841320218*p^80* q^992+2849227902*p^78*q^994+507325265*p^76*q^996+51960316*p^74*q^998+4146790*p^ 72*q^1000+265542*p^70*q^1002+6648*p^68*q^1004+92*p^66*q^1006+5016*p^91*q^980+ 65360*p^89*q^982+2653776*p^87*q^984+45789574*p^85*q^986+533041062*p^83*q^988+ 3189604201*p^81*q^990+4689035420*p^79*q^992+1408383067*p^77*q^994+182970646*p^ 75*q^996+16387193*p^73*q^998+1173830*p^71*q^1000+78764*p^69*q^1002+1872*p^67*q^ 1004+2*p^63*q^1008+52*p^92*q^978+26476*p^90*q^980+415992*p^88*q^982+10366918*p^ 86*q^984+154453374*p^84*q^986+1413277940*p^82*q^988+4764354684*p^80*q^990+ 3157784470*p^78*q^992+578634674*p^76*q^994+61852193*p^74*q^996+4793500*p^72*q^ 998+349380*p^70*q^1000+9576*p^68*q^1002+164*p^66*q^1004+1840*p^91*q^978+92924*p ^89*q^980+2151033*p^87*q^982+38985408*p^85*q^984+470212595*p^83*q^986+ 3024875722*p^81*q^988+4850159592*p^79*q^990+1610001418*p^77*q^992+214328421*p^ 75*q^994+19378270*p^73*q^996+1441896*p^71*q^998+95772*p^69*q^1000+968*p^67*q^ 1002+4*p^65*q^1004+4*p^92*q^976+24108*p^90*q^978+260812*p^88*q^980+8812894*p^86 *q^982+135391962*p^84*q^984+1262929582*p^82*q^986+4773943967*p^80*q^988+ 3429291264*p^78*q^990+675274090*p^76*q^992+71859762*p^74*q^994+5834600*p^72*q^ 996+404642*p^70*q^998+15898*p^68*q^1000+560*p^66*q^1002+1084*p^91*q^976+91624*p ^89*q^978+1801230*p^87*q^980+33027116*p^85*q^982+419059654*p^83*q^984+ 2823608943*p^81*q^986+5110092098*p^79*q^988+1794696172*p^77*q^990+249036694*p^ 75*q^992+22772656*p^73*q^994+1596302*p^71*q^996+98109*p^69*q^998+1448*p^67*q^ 1000+6*p^65*q^1002+2*p^94*q^972+4*p^92*q^974+14714*p^90*q^976+258086*p^88*q^978 +7540256*p^86*q^980+117619788*p^84*q^982+1154174996*p^82*q^984+4632864658*p^80* q^986+3760891082*p^78*q^988+769533440*p^76*q^990+85005483*p^74*q^992+6891042*p^ 72*q^994+504348*p^70*q^996+31582*p^68*q^998+288*p^66*q^1000+180*p^91*q^974+ 92236*p^89*q^976+1320456*p^87*q^978+28360570*p^85*q^980+364998174*p^83*q^982+ 2649018972*p^81*q^984+5227753840*p^79*q^986+2041904192*p^77*q^988+288409086*p^ 75*q^990+27345808*p^73*q^992+1920238*p^71*q^994+120824*p^69*q^996+1612*p^67*q^ 998+84*p^65*q^1000+8*p^94*q^970+10540*p^90*q^974+245868*p^88*q^976+6546944*p^86 *q^978+101649214*p^84*q^980+1030408544*p^82*q^982+4570845717*p^80*q^984+ 4040992620*p^78*q^986+888430243*p^76*q^988+99700882*p^74*q^990+8085714*p^72*q^ 992+570276*p^70*q^994+30792*p^68*q^996+156*p^66*q^998+22*p^93*q^970+148*p^91*q^ 972+69180*p^89*q^974+1042510*p^87*q^976+23944847*p^85*q^978+325321492*p^83*q^ 980+2432248348*p^81*q^982+5442069444*p^79*q^984+2262110124*p^77*q^986+337577630 *p^75*q^988+31630284*p^73*q^990+2340058*p^71*q^992+153730*p^69*q^994+6464*p^67* q^996+112*p^65*q^998+3996*p^90*q^972+277742*p^88*q^974+5355248*p^86*q^976+ 88033230*p^84*q^978+930879664*p^82*q^980+4389221812*p^80*q^982+4384253782*p^78* q^984+1009440266*p^76*q^986+116630335*p^74*q^988+9688684*p^72*q^990+615636*p^70 *q^992+34920*p^68*q^994+56*p^66*q^996+4*p^64*q^998+106*p^93*q^968+68*p^91*q^970 +59114*p^89*q^972+821612*p^87*q^974+21062408*p^85*q^976+283418210*p^83*q^978+ 2266805388*p^81*q^980+5472600875*p^79*q^982+2553657326*p^77*q^984+388112457*p^ 75*q^986+37858736*p^73*q^988+2771958*p^71*q^990+208148*p^69*q^992+9374*p^67*q^ 994+8*p^65*q^996+90*p^92*q^968+1756*p^90*q^970+245254*p^88*q^972+4282658*p^86*q ^974+74880121*p^84*q^976+823767566*p^82*q^978+4265228769*p^80*q^980+4660135582* p^78*q^982+1165417701*p^76*q^984+136601556*p^74*q^986+11516290*p^72*q^988+ 749512*p^70*q^990+35056*p^68*q^992+664*p^66*q^994+24*p^64*q^996+6*p^93*q^966+4* p^91*q^968+37536*p^89*q^970+766578*p^87*q^972+18110680*p^85*q^974+251574710*p^ 83*q^976+2067625965*p^81*q^978+5626068304*p^79*q^980+2806394390*p^77*q^982+ 451324884*p^75*q^984+43968819*p^73*q^986+3263392*p^71*q^988+211144*p^69*q^990+ 11068*p^67*q^992+596*p^92*q^966+1496*p^90*q^968+218812*p^88*q^970+3477829*p^86* q^972+64253816*p^84*q^974+741800790*p^82*q^976+4037536340*p^80*q^978+5000312220 *p^78*q^980+1313078040*p^76*q^982+160092537*p^74*q^984+13573806*p^72*q^986+ 872549*p^70*q^988+62788*p^68*q^990+1838*p^66*q^992+16*p^93*q^964+168*p^91*q^966 +17484*p^89*q^968+751955*p^87*q^970+15163478*p^85*q^972+217963296*p^83*q^974+ 1902701670*p^81*q^976+5588183008*p^79*q^978+3139077572*p^77*q^980+521458044*p^ 75*q^982+52711644*p^73*q^984+3910483*p^71*q^986+265276*p^69*q^988+8364*p^67*q^ 990+24*p^65*q^992+2*p^63*q^994+236*p^92*q^964+304*p^90*q^966+191882*p^88*q^968+ 2675154*p^86*q^970+56040437*p^84*q^972+651084650*p^82*q^974+3882026204*p^80*q^ 976+5242018602*p^78*q^978+1507941491*p^76*q^980+185061172*p^74*q^982+15953744*p ^72*q^984+1069816*p^70*q^986+66104*p^68*q^988+2736*p^66*q^990+1782*p^91*q^964+ 14400*p^89*q^966+652904*p^87*q^968+13020258*p^85*q^970+190542238*p^83*q^972+ 1721902925*p^81*q^974+5656870322*p^79*q^976+3422910842*p^77*q^978+604589578*p^ 75*q^980+61447738*p^73*q^982+4725842*p^71*q^984+260092*p^69*q^986+13548*p^67*q^ 988+198*p^65*q^990+204*p^92*q^962+268*p^90*q^964+121486*p^88*q^966+2450462*p^86 *q^968+47813164*p^84*q^970+584942153*p^82*q^972+3630926486*p^80*q^974+ 5564594458*p^78*q^976+1691742662*p^76*q^978+216005572*p^74*q^980+18998344*p^72* q^982+1235390*p^70*q^984+96698*p^68*q^986+3372*p^66*q^988+1992*p^91*q^962+6328* p^89*q^964+650486*p^87*q^966+10309998*p^85*q^968+164974475*p^83*q^970+ 1570723370*p^81*q^972+5545290320*p^79*q^974+3797113234*p^77*q^976+692189714*p^ 75*q^978+73166210*p^73*q^980+5528198*p^71*q^982+321906*p^69*q^984+16398*p^67*q^ 986+328*p^65*q^988+30*p^92*q^960+2988*p^90*q^962+90058*p^88*q^964+2001032*p^86* q^966+41787974*p^84*q^968+511967882*p^82*q^970+3439798684*p^80*q^972+5758310010 *p^78*q^974+1930716675*p^76*q^976+251298712*p^74*q^978+22361157*p^72*q^980+ 1546718*p^70*q^982+101889*p^68*q^984+2124*p^66*q^986+8*p^64*q^988+1316*p^91*q^ 960+2578*p^89*q^962+529228*p^87*q^964+8772440*p^85*q^966+143017098*p^83*q^968+ 1408511865*p^81*q^970+5536119162*p^79*q^972+4099399831*p^77*q^974+802899092*p^ 75*q^976+84166561*p^73*q^978+6584522*p^71*q^980+365204*p^69*q^982+24788*p^67*q^ 984+1088*p^65*q^986+7358*p^90*q^960+60088*p^88*q^962+1878436*p^86*q^964+ 35302002*p^84*q^966+458535344*p^82*q^968+3188537004*p^80*q^970+6026828161*p^78* q^972+2151378192*p^76*q^974+293801914*p^74*q^976+26652108*p^72*q^978+1832676*p^ 70*q^980+94522*p^68*q^982+3470*p^66*q^984+12*p^64*q^986+808*p^91*q^958+3840*p^ 89*q^960+424112*p^87*q^962+7176616*p^85*q^964+123947434*p^83*q^966+1273006888*p ^81*q^968+5346696679*p^79*q^970+4496798516*p^77*q^972+916670127*p^75*q^974+ 99282036*p^73*q^976+7813974*p^71*q^978+460092*p^69*q^980+42616*p^67*q^982+580*p ^65*q^984+4*p^92*q^956+6052*p^90*q^958+30166*p^88*q^960+1689434*p^86*q^962+ 29967919*p^84*q^964+396927690*p^82*q^966+2997536386*p^80*q^968+6157480072*p^78* q^970+2441406711*p^76*q^972+339120088*p^74*q^974+31877715*p^72*q^976+2154240*p^ 70*q^978+103446*p^68*q^980+3240*p^66*q^982+168*p^64*q^984+44*p^91*q^956+14640*p ^89*q^958+330432*p^87*q^960+6000894*p^85*q^962+107667998*p^83*q^964+1138065025* p^81*q^966+5259118710*p^79*q^968+4805588432*p^77*q^970+1055296248*p^75*q^972+ 115119951*p^73*q^974+9127564*p^71*q^976+573232*p^69*q^978+35822*p^67*q^980+528* p^65*q^982+6300*p^90*q^956+17772*p^88*q^958+1512506*p^86*q^960+25409732*p^84*q^ 962+353141682*p^82*q^964+2737472700*p^80*q^966+6385832072*p^78*q^968+2698436494 *p^76*q^970+396454719*p^74*q^972+37082314*p^72*q^974+2633554*p^70*q^976+115212* p^68*q^978+11885*p^66*q^980+224*p^64*q^982+96*p^91*q^954+18652*p^89*q^956+ 223156*p^87*q^958+5247434*p^85*q^960+92596636*p^83*q^962+1023332178*p^81*q^964+ 5021654705*p^79*q^966+5207428788*p^77*q^968+1201008962*p^75*q^970+135779440*p^ 73*q^972+11071548*p^71*q^974+681814*p^69*q^976+35852*p^67*q^978+128*p^65*q^980+ 8*p^63*q^982+1724*p^90*q^954+24244*p^88*q^956+1271768*p^86*q^958+20937875*p^84* q^960+304988378*p^82*q^962+2539469951*p^80*q^964+6411868606*p^78*q^966+ 3050890051*p^76*q^968+456454620*p^74*q^970+43652139*p^72*q^972+3076282*p^70*q^ 974+161073*p^68*q^976+13556*p^66*q^978+36*p^64*q^980+8*p^91*q^952+24436*p^89*q^ 954+142514*p^87*q^956+4578557*p^85*q^958+80930496*p^83*q^960+908367787*p^81*q^ 962+4881329164*p^79*q^964+5508996442*p^77*q^966+1374508284*p^75*q^968+156879491 *p^73*q^970+13123978*p^71*q^972+810552*p^69*q^974+25616*p^67*q^976+1788*p^65*q^ 978+48*p^63*q^980+1114*p^90*q^952+39216*p^88*q^954+1043130*p^86*q^956+17851490* p^84*q^958+268244366*p^82*q^960+2306461158*p^80*q^962+6532646023*p^78*q^964+ 3337440782*p^76*q^966+533222886*p^74*q^968+51099272*p^72*q^970+3666046*p^70*q^ 972+198590*p^68*q^974+15956*p^66*q^976+15932*p^89*q^952+93314*p^87*q^954+ 4102658*p^85*q^956+68113035*p^83*q^958+814728314*p^81*q^960+4599029822*p^79*q^ 962+5918784352*p^77*q^964+1558573235*p^75*q^966+184884304*p^73*q^968+15677858*p ^71*q^970+972912*p^69*q^972+36902*p^67*q^974+3452*p^65*q^976+386*p^90*q^950+ 57106*p^88*q^952+796730*p^86*q^954+14805763*p^84*q^956+233360128*p^82*q^958+ 2117225451*p^80*q^960+6493679096*p^78*q^962+3721907789*p^76*q^964+610031040*p^ 74*q^966+60039053*p^72*q^968+4282576*p^70*q^970+252154*p^68*q^972+9184*p^66*q^ 974+100*p^64*q^976+4*p^62*q^978+8528*p^89*q^950+93460*p^87*q^952+3536006*p^85*q ^954+58796318*p^83*q^956+713694029*p^81*q^958+4410370130*p^79*q^960+6175214693* p^77*q^962+1784158248*p^75*q^964+214484340*p^73*q^966+18444108*p^71*q^968+ 1212078*p^69*q^970+45656*p^67*q^972+5360*p^65*q^974+48*p^90*q^948+64264*p^88*q^ 950+543734*p^86*q^952+12922946*p^84*q^954+203938941*p^82*q^956+1911173094*p^80* q^958+6535360460*p^78*q^960+4051310136*p^76*q^962+707619580*p^74*q^964+69629778 *p^72*q^966+5242956*p^70*q^968+271234*p^68*q^970+6654*p^66*q^972+552*p^64*q^974 +4*p^91*q^946+5784*p^89*q^948+111078*p^87*q^950+3088040*p^85*q^952+49644139*p^ 83*q^954+636664178*p^81*q^956+4099713913*p^79*q^958+6535771230*p^77*q^960+ 2003472269*p^75*q^962+251638260*p^73*q^964+21979051*p^71*q^966+1376692*p^69*q^ 968+73582*p^67*q^970+5612*p^65*q^972+44*p^90*q^946+44960*p^88*q^948+399670*p^86 *q^950+11022885*p^84*q^952+175691748*p^82*q^954+1740456326*p^80*q^956+ 6394971522*p^78*q^958+4495518070*p^76*q^960+809372266*p^74*q^962+82733968*p^72* q^964+6178104*p^70*q^966+358984*p^68*q^968+7856*p^66*q^970+882*p^64*q^972+4*p^ 93*q^942+1214*p^89*q^946+149296*p^87*q^948+2453368*p^85*q^950+42300422*p^83*q^ 952+557446647*p^81*q^954+3886007900*p^79*q^956+6739408074*p^77*q^958+2272827768 *p^75*q^960+290751571*p^73*q^962+25343414*p^71*q^964+1643848*p^69*q^966+81440*p ^67*q^968+1362*p^65*q^970+44*p^63*q^972+56*p^90*q^944+39228*p^88*q^946+347222*p ^86*q^948+9689322*p^84*q^950+153560351*p^82*q^952+1558570046*p^80*q^954+ 6350949861*p^78*q^956+4827895910*p^76*q^958+939772860*p^74*q^960+95556082*p^72* q^962+7548804*p^70*q^964+433050*p^68*q^966+14828*p^66*q^968+2480*p^64*q^970+984 *p^89*q^944+143326*p^87*q^946+1869808*p^85*q^948+35681157*p^83*q^950+493050368* p^81*q^952+3572482579*p^79*q^954+7044716334*p^77*q^956+2542216482*p^75*q^958+ 340700166*p^73*q^960+30204446*p^71*q^962+1966942*p^69*q^964+90450*p^67*q^966+ 1192*p^65*q^968+44*p^63*q^970+48*p^92*q^940+8*p^90*q^942+16044*p^88*q^944+ 333302*p^86*q^946+8432834*p^84*q^948+131292980*p^82*q^950+1407919088*p^80*q^952 +6135174778*p^78*q^954+5300419336*p^76*q^956+1069740720*p^74*q^958+112902413*p^ 72*q^960+8856988*p^70*q^962+506414*p^68*q^964+24584*p^66*q^966+803*p^64*q^968+ 438*p^89*q^942+152342*p^87*q^944+1481462*p^85*q^946+30637334*p^83*q^948+ 429778590*p^81*q^950+3357528134*p^79*q^952+7155929733*p^77*q^954+2868877046*p^ 75*q^956+390896121*p^73*q^958+35366006*p^71*q^960+2314191*p^69*q^962+117768*p^ 67*q^964+1548*p^65*q^966+572*p^63*q^968+12*p^92*q^938+10876*p^88*q^942+332316*p ^86*q^944+7101478*p^84*q^946+113419638*p^82*q^948+1251547472*p^80*q^950+ 5992565362*p^78*q^952+5645583158*p^76*q^954+1233528452*p^74*q^956+132095942*p^ 72*q^958+10489468*p^70*q^960+624712*p^68*q^962+23936*p^66*q^964+144*p^64*q^966+ 220*p^91*q^938+344*p^89*q^940+105206*p^87*q^942+1215390*p^85*q^944+26101582*p^ 83*q^946+379574726*p^81*q^948+3053553054*p^79*q^950+7403006094*p^77*q^952+ 3173374835*p^75*q^954+457819000*p^73*q^956+41279810*p^71*q^958+2880932*p^69*q^ 960+140546*p^67*q^962+5286*p^65*q^964+470*p^63*q^966+4966*p^88*q^940+378636*p^ 86*q^942+5739510*p^84*q^944+97115712*p^82*q^946+1121856184*p^80*q^948+ 5720806046*p^78*q^950+6112273707*p^76*q^952+1402968364*p^74*q^954+154810559*p^ 72*q^956+12453384*p^70*q^958+698200*p^68*q^960+28934*p^66*q^962+48*p^64*q^964+ 52*p^62*q^966+228*p^91*q^936+36*p^89*q^938+70448*p^87*q^940+987360*p^85*q^942+ 22933790*p^83*q^944+327953641*p^81*q^946+2835993518*p^79*q^948+7415263688*p^77* q^950+3571321462*p^75*q^952+523542403*p^73*q^954+48494430*p^71*q^956+3413088*p^ 69*q^958+188808*p^67*q^960+6108*p^65*q^962+8*p^63*q^964+480*p^90*q^936+3532*p^ 88*q^938+377630*p^86*q^940+4803910*p^84*q^942+83103367*p^82*q^944+993967296*p^ 80*q^946+5521922961*p^78*q^948+6439684284*p^76*q^950+1606299736*p^74*q^952+ 179806214*p^72*q^954+14725752*p^70*q^956+843132*p^68*q^958+30554*p^66*q^960+652 *p^64*q^962+159*p^62*q^964+12*p^91*q^934+40*p^89*q^936+46796*p^87*q^938+893438* p^85*q^940+19359715*p^83*q^942+287722674*p^81*q^944+2558961513*p^79*q^946+ 7536557090*p^77*q^948+3915973301*p^75*q^950+615032156*p^73*q^952+57129094*p^71* q^954+4116582*p^69*q^956+217952*p^67*q^958+8042*p^65*q^960+1388*p^90*q^934+1216 *p^88*q^936+299920*p^86*q^938+3888130*p^84*q^940+70645494*p^82*q^942+885727558* p^80*q^944+5195156084*p^78*q^946+6904998228*p^76*q^948+1815806084*p^74*q^950+ 209762838*p^72*q^952+17216074*p^70*q^954+996889*p^68*q^956+47876*p^66*q^958+ 1076*p^64*q^960+4*p^91*q^932+508*p^89*q^934+24916*p^87*q^936+940640*p^85*q^938+ 16426474*p^83*q^940+249641739*p^81*q^942+2354315974*p^79*q^944+7464932734*p^77* q^946+4355313684*p^75*q^948+701706522*p^73*q^950+67648850*p^71*q^952+4829132*p^ 69*q^954+262622*p^67*q^956+6030*p^65*q^958+32*p^63*q^960+28*p^61*q^962+464*p^90 *q^932+852*p^88*q^934+256868*p^86*q^936+3125162*p^84*q^938+61742683*p^82*q^940+ 775786816*p^80*q^942+4965825373*p^78*q^944+7168985394*p^76*q^946+2072894162*p^ 74*q^948+243448722*p^72*q^950+20111896*p^70*q^952+1267850*p^68*q^954+57752*p^66 *q^956+1948*p^64*q^958+3732*p^89*q^932+16382*p^87*q^934+872918*p^85*q^936+ 13972178*p^83*q^938+215719756*p^81*q^940+2109748277*p^79*q^942+7484378336*p^77* q^944+4740930701*p^75*q^946+818542892*p^73*q^948+78672109*p^71*q^950+6008972*p^ 69*q^952+275213*p^67*q^954+8992*p^65*q^956+124*p^63*q^958+136*p^90*q^930+420*p^ 88*q^932+150940*p^86*q^934+2659964*p^84*q^936+51749436*p^82*q^938+689198685*p^ 80*q^940+4605500736*p^78*q^942+7605623649*p^76*q^944+2329081088*p^74*q^946+ 284011862*p^72*q^948+23977496*p^70*q^950+1442492*p^68*q^952+82084*p^66*q^954+ 1812*p^64*q^956+2*p^60*q^960+3808*p^89*q^930+9022*p^87*q^932+873000*p^85*q^934+ 11704150*p^83*q^936+186894666*p^81*q^938+1924033246*p^79*q^940+7309212706*p^77* q^942+5232228778*p^75*q^944+930194499*p^73*q^946+92561582*p^71*q^948+6805105*p^ 69*q^950+341988*p^67*q^952+11662*p^65*q^954+244*p^63*q^956+16*p^90*q^928+4976*p ^88*q^930+117482*p^86*q^932+2354654*p^84*q^934+45135522*p^82*q^936+602776664*p^ 80*q^938+4343958961*p^78*q^940+7783775108*p^76*q^942+2644462052*p^74*q^944+ 330330322*p^72*q^946+28166972*p^70*q^948+1866068*p^68*q^950+95416*p^66*q^952+ 1144*p^64*q^954+8*p^62*q^956+1572*p^89*q^928+4446*p^87*q^930+677474*p^85*q^932+ 9577016*p^83*q^934+160724020*p^81*q^936+1709250731*p^79*q^938+7226052806*p^77*q ^940+5634437399*p^75*q^942+1083506944*p^73*q^944+107167966*p^71*q^946+8216632*p ^69*q^948+405998*p^67*q^950+17572*p^65*q^952+568*p^63*q^954+12248*p^88*q^928+ 71052*p^86*q^930+2264958*p^84*q^932+38220780*p^82*q^934+533347137*p^80*q^936+ 3998783710*p^78*q^938+8135806133*p^76*q^940+2946218102*p^74*q^942+385173044*p^ 72*q^944+33129308*p^70*q^946+2217236*p^68*q^948+88256*p^66*q^950+1884*p^64*q^ 952+8*p^62*q^954+664*p^89*q^926+5058*p^87*q^928+544196*p^85*q^930+7903442*p^83* q^932+138110981*p^81*q^934+1542205940*p^79*q^936+6963834767*p^77*q^938+ 6151393898*p^75*q^940+1230097088*p^73*q^942+125886966*p^71*q^944+9656099*p^69*q ^946+490206*p^67*q^948+32666*p^65*q^950+126*p^63*q^952+4*p^90*q^924+9568*p^88*q ^926+44858*p^86*q^928+2118368*p^84*q^930+33026900*p^82*q^932+462853958*p^80*q^ 934+3743362707*p^78*q^936+8239836566*p^76*q^938+3327438139*p^74*q^940+443724442 *p^72*q^942+39078978*p^70*q^944+2632918*p^68*q^946+105766*p^66*q^948+1884*p^64* q^950+104*p^62*q^952+32*p^89*q^924+20184*p^87*q^926+403816*p^85*q^928+6771756*p ^83*q^930+118822462*p^81*q^932+1366795599*p^79*q^934+6771512718*p^77*q^936+ 6549713596*p^75*q^938+1419007214*p^73*q^940+147396664*p^71*q^942+11421052*p^69* q^944+652858*p^67*q^946+30012*p^65*q^948+220*p^63*q^950+6464*p^88*q^924+22532*p ^86*q^926+1835729*p^84*q^928+27354574*p^82*q^930+405171556*p^80*q^932+ 3392139038*p^78*q^934+8512385547*p^76*q^936+3682322214*p^74*q^938+520801149*p^ 72*q^940+45448044*p^70*q^942+3198720*p^68*q^944+113500*p^66*q^946+7196*p^64*q^ 948+20*p^62*q^950+124*p^89*q^922+28232*p^87*q^924+280698*p^85*q^926+5936518*p^ 83*q^928+102485214*p^81*q^930+1227674468*p^79*q^932+6456436948*p^77*q^934+ 7067927870*p^75*q^936+1606375252*p^73*q^938+170865400*p^71*q^940+13312046*p^69* q^942+767026*p^67*q^944+30064*p^65*q^946+68*p^63*q^948+8*p^61*q^950+1644*p^88*q ^922+34196*p^86*q^924+1610850*p^84*q^926+23393953*p^82*q^928+351505946*p^80*q^ 930+3139008785*p^78*q^932+8474641072*p^76*q^934+4130992979*p^74*q^936+595857618 *p^72*q^938+53952199*p^70*q^940+3812422*p^68*q^942+162462*p^66*q^944+9656*p^64* q^946+12*p^62*q^948+20*p^89*q^920+29700*p^87*q^922+179756*p^85*q^924+5251938*p^ 83*q^926+88221648*p^81*q^928+1077311536*p^79*q^930+6214559062*p^77*q^932+ 7441036455*p^75*q^934+1847731340*p^73*q^936+200811483*p^71*q^938+15883182*p^69* q^940+970272*p^67*q^942+25076*p^65*q^944+792*p^63*q^946+2*p^61*q^948+1264*p^88* q^920+48636*p^86*q^922+1240058*p^84*q^924+19393992*p^82*q^926+304964103*p^80*q^ 928+2830664458*p^78*q^930+8615512810*p^76*q^932+4529686526*p^74*q^934+696594503 *p^72*q^936+62144320*p^70*q^938+4457534*p^68*q^940+194852*p^66*q^942+10720*p^64 *q^944+16940*p^87*q^920+132468*p^85*q^922+4903752*p^83*q^924+74943696*p^81*q^ 926+965036608*p^79*q^928+5833436086*p^77*q^930+7961165518*p^75*q^932+2077487456 *p^73*q^934+233979294*p^71*q^936+18671730*p^69*q^938+1156840*p^67*q^940+33668*p ^65*q^942+1984*p^63*q^944+660*p^88*q^918+73494*p^86*q^920+967380*p^84*q^922+ 16371512*p^82*q^924+264375100*p^80*q^926+2591385437*p^78*q^928+8483500014*p^76* q^930+5023091019*p^74*q^932+797930656*p^72*q^934+73811844*p^70*q^936+5154498*p^ 68*q^938+267058*p^66*q^940+7624*p^64*q^942+28*p^62*q^944+8540*p^87*q^918+122472 *p^85*q^920+4195720*p^83*q^922+64789068*p^81*q^924+839341338*p^79*q^926+ 5549549954*p^77*q^928+8253974986*p^75*q^930+2385293968*p^73*q^932+272509060*p^ 71*q^934+21927304*p^69*q^936+1474603*p^67*q^938+40694*p^65*q^940+2870*p^63*q^ 942+2*p^92*q^912+56*p^88*q^916+72798*p^86*q^918+674360*p^84*q^920+14317294*p^82 *q^922+228470333*p^80*q^924+2319330318*p^78*q^926+8504898337*p^76*q^928+ 5464968652*p^74*q^930+924729558*p^72*q^932+85621880*p^70*q^934+6276822*p^68*q^ 936+304684*p^66*q^938+6110*p^64*q^940+236*p^62*q^942+4*p^89*q^914+7176*p^87*q^ 916+132434*p^85*q^918+3599916*p^83*q^920+54284324*p^81*q^922+744857276*p^79*q^ 924+5149290363*p^77*q^926+8716006544*p^75*q^928+2666209455*p^73*q^930+318198044 *p^71*q^932+25790701*p^69*q^934+1628232*p^67*q^936+62038*p^65*q^938+3492*p^63*q ^940+16*p^88*q^914+46242*p^86*q^916+543304*p^84*q^918+12620110*p^82*q^920+ 197204046*p^80*q^922+2109459686*p^78*q^924+8266159346*p^76*q^926+6020447170*p^ 74*q^928+1054069044*p^72*q^930+101187242*p^70*q^932+7276540*p^68*q^934+417534*p ^66*q^936+7012*p^64*q^938+360*p^62*q^940+29*p^91*q^910+2072*p^87*q^914+179488*p ^85*q^916+2882506*p^83*q^918+46118008*p^81*q^920+648417694*p^79*q^922+ 4831119568*p^77*q^924+8923253734*p^75*q^926+3032406318*p^73*q^928+370572498*p^ 71*q^930+30186268*p^69*q^932+2014670*p^67*q^934+79042*p^65*q^936+1296*p^63*q^ 938+12*p^61*q^940+108*p^88*q^912+40044*p^86*q^914+412268*p^84*q^916+10981176*p^ 82*q^918+170748372*p^80*q^920+1868771618*p^78*q^922+8166577725*p^76*q^924+ 6480612998*p^74*q^926+1226508118*p^72*q^928+117259280*p^70*q^930+8728877*p^68*q ^932+497652*p^66*q^934+9834*p^64*q^936+1132*p^62*q^938+756*p^87*q^912+155914*p^ 85*q^914+2293062*p^83*q^916+39323178*p^81*q^918+570056024*p^79*q^920+4443876973 *p^77*q^922+9291384266*p^75*q^924+3369134677*p^73*q^926+429829128*p^71*q^928+ 35256591*p^69*q^930+2319946*p^67*q^932+92042*p^65*q^934+1056*p^63*q^936+14*p^61 *q^938+171*p^90*q^908+16*p^88*q^910+22252*p^86*q^912+428828*p^84*q^914+9625202* p^82*q^916+146091532*p^80*q^918+1689752786*p^78*q^920+7827690600*p^76*q^922+ 7054645904*p^74*q^924+1392962712*p^72*q^926+138814286*p^70*q^928+10209776*p^68* q^930+603432*p^66*q^932+20384*p^64*q^934+552*p^62*q^936+900*p^87*q^910+146832*p ^85*q^912+1773666*p^83*q^914+33902504*p^81*q^916+493229451*p^79*q^918+ 4130838884*p^77*q^920+9383281367*p^75*q^922+3810560124*p^73*q^924+496997413*p^ 71*q^926+41972046*p^69*q^928+2790001*p^67*q^930+128626*p^65*q^932+812*p^63*q^ 934+172*p^61*q^936+48*p^90*q^906+10760*p^86*q^910+391156*p^84*q^912+8108740*p^ 82*q^914+124622488*p^80*q^916+1487344184*p^78*q^918+7630121044*p^76*q^920+ 7512507112*p^74*q^922+1606832063*p^72*q^924+162136882*p^70*q^926+11902724*p^68* q^928+726802*p^66*q^930+18116*p^64*q^932+128*p^62*q^934+528*p^89*q^906+560*p^87 *q^908+118704*p^85*q^910+1513402*p^83*q^912+29201090*p^81*q^914+434299820*p^79* q^916+3755668502*p^77*q^918+9669975498*p^75*q^920+4198025518*p^73*q^922+ 578662022*p^71*q^924+48420164*p^69*q^926+3308520*p^67*q^928+155525*p^65*q^930+ 3772*p^63*q^932+224*p^61*q^934+6604*p^86*q^908+395288*p^84*q^910+6718500*p^82*q ^912+107268098*p^80*q^914+1330376610*p^78*q^916+7217902272*p^76*q^918+ 8085359488*p^74*q^920+1820854358*p^72*q^922+189875600*p^70*q^924+14086684*p^68* q^926+865808*p^66*q^928+26430*p^64*q^930+24*p^62*q^932+8*p^60*q^934+536*p^89*q^ 904+58*p^87*q^906+75140*p^85*q^908+1221568*p^83*q^910+25333984*p^81*q^912+ 371977908*p^79*q^914+3457222122*p^77*q^916+9615231072*p^75*q^918+4724666488*p^ 73*q^920+666199931*p^71*q^922+57811144*p^69*q^924+3914180*p^67*q^926+211070*p^ 65*q^928+4294*p^63*q^930+8*p^61*q^932+919*p^88*q^904+5664*p^86*q^906+382720*p^ 84*q^908+5546378*p^82*q^910+91864727*p^80*q^912+1168128234*p^78*q^914+ 6943860357*p^76*q^916+8500125152*p^74*q^918+2089163318*p^72*q^920+220533708*p^ 70*q^922+16483018*p^68*q^924+1018228*p^66*q^926+30850*p^64*q^928+344*p^62*q^930 +48*p^60*q^932+44*p^89*q^902+22*p^87*q^904+49040*p^85*q^906+1079506*p^83*q^908+ 21806613*p^81*q^910+324934918*p^79*q^912+3115282944*p^77*q^914+9742890544*p^75* q^916+5160576501*p^73*q^918+776566084*p^71*q^920+67450631*p^69*q^922+4597098*p^ 67*q^924+249230*p^65*q^926+4386*p^63*q^928+2360*p^88*q^902+2060*p^86*q^904+ 316784*p^84*q^906+4632630*p^82*q^908+78270208*p^80*q^910+1040166014*p^78*q^912+ 6501988232*p^76*q^914+9060721497*p^74*q^916+2351244036*p^72*q^918+257570302*p^ 70*q^920+19486476*p^68*q^922+1181272*p^66*q^924+50390*p^64*q^926+956*p^62*q^928 +44*p^89*q^900+970*p^87*q^902+34092*p^85*q^904+1027740*p^83*q^906+18530760*p^81 *q^908+279660907*p^79*q^910+2840093416*p^77*q^912+9573658184*p^75*q^914+ 5730633262*p^73*q^916+891881510*p^71*q^918+80436178*p^69*q^920+5269918*p^67*q^ 922+324652*p^65*q^924+4800*p^63*q^926+8*p^61*q^928+4*p^59*q^930+786*p^88*q^900+ 764*p^86*q^902+251518*p^84*q^904+3706932*p^82*q^906+67452692*p^80*q^908+ 902810550*p^78*q^910+6169665059*p^76*q^912+9403913514*p^74*q^914+2696678455*p^ 72*q^916+299075592*p^70*q^918+22835117*p^68*q^920+1513988*p^66*q^922+58316*p^64 *q^924+608*p^62*q^926+5342*p^87*q^900+22922*p^85*q^902+921992*p^83*q^904+ 15856034*p^81*q^906+242240326*p^79*q^908+2540620759*p^77*q^910+9583782432*p^75* q^912+6217018935*p^73*q^914+1030701862*p^71*q^916+92734918*p^69*q^918+6340144*p ^67*q^920+327010*p^65*q^922+8738*p^63*q^924+132*p^61*q^926+554*p^88*q^898+1226* p^86*q^900+174728*p^84*q^902+3288514*p^82*q^904+58211706*p^80*q^906+799375838*p ^78*q^908+5705895632*p^76*q^910+9877656755*p^74*q^912+3012568002*p^72*q^914+ 350261515*p^70*q^916+27389948*p^68*q^918+1651466*p^66*q^920+93680*p^64*q^922+ 754*p^62*q^924+4502*p^87*q^898+10804*p^85*q^900+862054*p^83*q^902+13081970*p^81 *q^904+206879720*p^79*q^906+2299600124*p^77*q^908+9268023744*p^75*q^910+ 6858792468*p^73*q^912+1180366623*p^71*q^914+110205836*p^69*q^916+7361641*p^67*q ^918+448626*p^65*q^920+10598*p^63*q^922+64*p^61*q^924+102*p^88*q^896+7352*p^86* q^898+132764*p^84*q^900+2680066*p^82*q^902+49960760*p^80*q^904+693376430*p^78*q ^906+5351993987*p^76*q^908+10122845356*p^74*q^910+3424769193*p^72*q^912+ 405898326*p^70*q^914+31906924*p^68*q^916+1963578*p^66*q^918+101766*p^64*q^920+ 900*p^62*q^922+8*p^60*q^924+3328*p^87*q^896+6770*p^85*q^898+711188*p^83*q^900+ 11228950*p^81*q^902+179489792*p^79*q^904+2038585224*p^77*q^906+9157353470*p^75* q^908+7341859599*p^73*q^910+1366866920*p^71*q^912+126784070*p^69*q^914+8885348* p^67*q^916+517458*p^65*q^918+18388*p^63*q^920+108*p^61*q^922+12534*p^86*q^896+ 88114*p^84*q^898+2482492*p^82*q^900+42432824*p^80*q^902+610557716*p^78*q^904+ 4899999448*p^76*q^906+10502099067*p^74*q^908+3808223206*p^72*q^910+473744319*p^ 70*q^912+37931156*p^68*q^914+2280071*p^66*q^916+114056*p^64*q^918+1652*p^62*q^ 920+4*p^60*q^922+1671*p^87*q^894+10630*p^85*q^896+558078*p^83*q^898+9292554*p^ 81*q^900+153739128*p^79*q^902+1828476870*p^77*q^904+8744750129*p^75*q^906+ 8012016846*p^73*q^908+1556709146*p^71*q^910+150240504*p^69*q^912+10455542*p^67* q^914+611648*p^65*q^916+30958*p^63*q^918+40*p^61*q^920+40*p^88*q^892+11720*p^86 *q^894+53035*p^84*q^896+2196300*p^82*q^898+36481310*p^80*q^900+524349154*p^78*q ^902+4554244535*p^76*q^904+10598913280*p^74*q^906+4303678303*p^72*q^908+ 546071174*p^70*q^910+44752636*p^68*q^912+2674286*p^66*q^914+144710*p^64*q^916+ 1900*p^62*q^918+8*p^60*q^920+148*p^87*q^892+23575*p^85*q^894+442992*p^83*q^896+ 7887070*p^81*q^898+132236170*p^79*q^900+1613702939*p^77*q^902+8505279068*p^75*q ^904+8500448123*p^73*q^906+1789901264*p^71*q^908+175093930*p^69*q^910+12274766* p^67*q^912+705989*p^65*q^914+29296*p^63*q^916+204*p^61*q^918+10377*p^86*q^892+ 38788*p^84*q^894+1930348*p^82*q^896+30939970*p^80*q^898+461583420*p^78*q^900+ 4124021766*p^76*q^902+10872216488*p^74*q^904+4734457280*p^72*q^906+638315476*p^ 70*q^908+51846260*p^68*q^910+3296380*p^66*q^912+175576*p^64*q^914+6440*p^62*q^ 916+584*p^87*q^890+26168*p^85*q^892+316284*p^83*q^894+6733444*p^81*q^896+ 113617534*p^79*q^898+1434739374*p^77*q^900+8030583779*p^75*q^902+9152053592*p^ 73*q^904+2035939540*p^71*q^906+205539048*p^69*q^908+14876222*p^67*q^910+778336* p^65*q^912+37402*p^63*q^914+60*p^61*q^916+2958*p^86*q^890+52422*p^84*q^892+ 1608182*p^82*q^894+26243508*p^80*q^896+394573610*p^78*q^898+3790897295*p^76*q^ 900+10817499164*p^74*q^902+5324266305*p^72*q^904+732014494*p^70*q^906+61388221* p^68*q^908+3797690*p^66*q^910+228974*p^64*q^912+7420*p^62*q^914+12*p^60*q^916+ 76*p^87*q^888+33623*p^85*q^890+210368*p^83*q^892+5834148*p^81*q^894+97647552*p^ 79*q^896+1260079222*p^77*q^898+7709968568*p^75*q^900+9600159702*p^73*q^902+ 2330418042*p^71*q^904+238454112*p^69*q^906+17306128*p^67*q^908+952438*p^65*q^ 910+37846*p^63*q^912+756*p^61*q^914+3742*p^86*q^888+55768*p^84*q^890+1347648*p^ 82*q^892+22464878*p^80*q^894+344716096*p^78*q^896+3405436644*p^76*q^898+ 10917258343*p^74*q^900+5811361930*p^72*q^902+853741153*p^70*q^904+71851314*p^68 *q^906+4643840*p^66*q^908+235768*p^64*q^910+9778*p^62*q^912+4*p^87*q^886+19464* p^85*q^888+184102*p^83*q^890+5157712*p^81*q^892+82745389*p^79*q^894+1115291008* p^77*q^896+7186758087*p^75*q^898+10216224132*p^73*q^900+2629786503*p^71*q^902+ 280833086*p^69*q^904+20548832*p^67*q^906+1101132*p^65*q^908+67806*p^63*q^910+ 1340*p^61*q^912+1608*p^86*q^886+69110*p^84*q^888+997226*p^82*q^890+18658594*p^ 80*q^892+296062310*p^78*q^894+3099999826*p^76*q^896+10720904276*p^74*q^898+ 6460256542*p^72*q^900+980461086*p^70*q^902+84961455*p^68*q^904+5365110*p^66*q^ 906+287558*p^64*q^908+6916*p^62*q^910+38*p^60*q^912+15984*p^85*q^886+180924*p^ 83*q^888+4437462*p^81*q^890+72041758*p^79*q^892+969358336*p^77*q^894+6830530996 *p^75*q^896+10573302708*p^73*q^898+2999612610*p^71*q^900+323099819*p^69*q^902+ 23903262*p^67*q^904+1389114*p^65*q^906+68124*p^63*q^908+2126*p^61*q^910+312*p^ 86*q^884+66146*p^84*q^886+766214*p^82*q^888+16170918*p^80*q^890+255924217*p^78* q^892+2763900620*p^76*q^894+10686073279*p^74*q^896+6986830454*p^72*q^898+ 1138149772*p^70*q^900+99673884*p^68*q^902+6656266*p^66*q^904+294828*p^64*q^906+ 14578*p^62*q^908+148*p^60*q^910+36*p^87*q^882+12856*p^85*q^884+157017*p^83*q^ 886+3751086*p^81*q^888+60803682*p^79*q^890+853955862*p^77*q^892+6282715088*p^75 *q^894+11123147258*p^73*q^896+3366954315*p^71*q^898+379084808*p^69*q^900+ 28345507*p^67*q^902+1562940*p^65*q^904+93796*p^63*q^906+1912*p^61*q^908+184*p^ 86*q^882+51986*p^84*q^884+675236*p^82*q^886+13885450*p^80*q^888+219085646*p^78* q^890+2497259175*p^76*q^892+10339720156*p^74*q^894+7708954072*p^72*q^896+ 1297033824*p^70*q^898+117589400*p^68*q^900+7685534*p^66*q^902+375296*p^64*q^904 +17100*p^62*q^906+250*p^60*q^908+4386*p^85*q^882+163816*p^83*q^884+2973409*p^81 *q^886+52086428*p^79*q^888+741197198*p^77*q^890+5887400620*p^75*q^892+ 11346121355*p^73*q^894+3819006268*p^71*q^896+439677338*p^69*q^898+33268260*p^67 *q^900+1942184*p^65*q^902+99944*p^63*q^904+1792*p^61*q^906+8*p^59*q^908+426*p^ 86*q^880+54386*p^84*q^882+564759*p^82*q^884+12034294*p^80*q^886+190050190*p^78* q^888+2207634280*p^76*q^890+10169872376*p^74*q^892+8242138692*p^72*q^894+ 1504862459*p^70*q^896+135742022*p^68*q^898+9075465*p^66*q^900+438754*p^64*q^902 +23080*p^62*q^904+572*p^60*q^906+3080*p^85*q^880+140256*p^83*q^882+2481774*p^81 *q^884+44060440*p^79*q^886+649533436*p^77*q^888+5375354602*p^75*q^890+ 11754301624*p^73*q^892+4250962605*p^71*q^894+514314730*p^69*q^896+39855823*p^67 *q^898+2408994*p^65*q^900+92932*p^63*q^902+3826*p^61*q^904+8*p^59*q^906+84*p^86 *q^878+30938*p^84*q^880+487338*p^82*q^882+10131588*p^80*q^884+162181506*p^78*q^ 886+1973597857*p^76*q^888+9712366454*p^74*q^890+8993597045*p^72*q^892+ 1714198286*p^70*q^894+160132989*p^68*q^896+10589186*p^66*q^898+502454*p^64*q^ 900+39408*p^62*q^902+142*p^60*q^904+2410*p^85*q^878+150504*p^83*q^880+2063777*p ^81*q^882+38139102*p^79*q^884+558856887*p^77*q^886+4998215194*p^75*q^888+ 11857434188*p^73*q^890+4788201768*p^71*q^892+590155630*p^69*q^894+46914146*p^67 *q^896+2755079*p^65*q^898+115024*p^63*q^900+3016*p^61*q^902+104*p^59*q^904+4*p^ 86*q^876+23612*p^84*q^878+411560*p^82*q^880+8622968*p^80*q^882+139481788*p^78*q ^884+1740723052*p^76*q^886+9400331633*p^74*q^888+9513419260*p^72*q^890+ 1975080537*p^70*q^892+187197862*p^68*q^894+12582904*p^66*q^896+689128*p^64*q^ 898+31448*p^62*q^900+602*p^60*q^902+1664*p^85*q^876+123680*p^83*q^878+1766516*p ^81*q^880+32260076*p^79*q^882+488168266*p^77*q^884+4495679390*p^75*q^886+ 12140580796*p^73*q^888+5288828484*p^71*q^890+692972316*p^69*q^892+55026178*p^67 *q^894+3328878*p^65*q^896+116706*p^63*q^898+10848*p^61*q^900+20*p^59*q^902+24*p ^86*q^874+12795*p^84*q^876+378736*p^82*q^878+7097658*p^80*q^880+119187508*p^78* q^882+1543880687*p^76*q^884+8880842058*p^74*q^886+10243973339*p^72*q^888+ 2240605456*p^70*q^890+218353746*p^68*q^892+14933210*p^66*q^894+791356*p^64*q^ 896+32716*p^62*q^898+128*p^60*q^900+8*p^58*q^902+324*p^85*q^874+107156*p^83*q^ 876+1468127*p^81*q^878+28003382*p^79*q^880+420190987*p^77*q^882+4139854990*p^75 *q^884+12035260766*p^73*q^886+5925828214*p^71*q^888+793456658*p^69*q^890+ 64853082*p^67*q^892+3846742*p^65*q^894+169456*p^63*q^896+12186*p^61*q^898+42*p^ 59*q^900+8*p^86*q^872+11988*p^84*q^874+350335*p^82*q^876+6027634*p^80*q^878+ 102575292*p^78*q^880+1350307392*p^76*q^882+8497691507*p^74*q^884+10717292992*p^ 72*q^886+2568466707*p^70*q^888+254536218*p^68*q^890+17985617*p^66*q^892+980524* p^64*q^894+25252*p^62*q^896+1644*p^60*q^898+2*p^58*q^900+412*p^85*q^872+71591*p ^83*q^874+1213294*p^81*q^876+23498733*p^79*q^878+364084356*p^77*q^880+ 3700349502*p^75*q^882+12146814488*p^73*q^884+6475863792*p^71*q^886+929428912*p^ 69*q^888+75755011*p^67*q^890+4531502*p^65*q^892+204838*p^63*q^894+13012*p^61*q^ 896+32*p^86*q^870+5392*p^84*q^872+330144*p^82*q^874+5169864*p^80*q^876+87106784 *p^78*q^878+1194639554*p^76*q^880+7913608310*p^74*q^882+11416724103*p^72*q^884+ 2896298650*p^70*q^886+297981075*p^68*q^888+21271166*p^66*q^890+1137004*p^64*q^ 892+34944*p^62*q^894+3176*p^60*q^896+184*p^85*q^870+54538*p^83*q^872+1047388*p^ 81*q^874+19914196*p^79*q^876+312722421*p^77*q^878+3367308042*p^75*q^880+ 11896284249*p^73*q^882+7182882528*p^71*q^884+1063575032*p^69*q^886+89217754*p^ 67*q^888+5300620*p^65*q^890+268760*p^63*q^892+8204*p^61*q^894+96*p^59*q^896+ 3628*p^84*q^870+292857*p^82*q^872+4316214*p^80*q^874+75689513*p^78*q^876+ 1037663922*p^76*q^878+7490760694*p^74*q^880+11773988244*p^72*q^882+3309468757*p ^70*q^884+345901792*p^68*q^886+25159790*p^66*q^888+1382672*p^64*q^890+43538*p^ 62*q^892+4500*p^60*q^894+432*p^85*q^868+39758*p^83*q^870+905078*p^81*q^872+ 16891709*p^79*q^874+269645234*p^77*q^876+2988423584*p^75*q^878+11828364560*p^73 *q^880+7775284273*p^71*q^882+1237708314*p^69*q^884+104323514*p^67*q^886+6582498 *p^65*q^888+308204*p^63*q^890+6094*p^61*q^892+508*p^59*q^894+4*p^86*q^866+2388* p^84*q^868+213126*p^82*q^870+3635469*p^80*q^872+63835444*p^78*q^874+910450815*p ^76*q^876+6893555020*p^74*q^878+12383835870*p^72*q^880+3713401182*p^70*q^882+ 404759665*p^68*q^884+29660774*p^66*q^886+1529136*p^64*q^888+63124*p^62*q^890+ 4828*p^60*q^892+68*p^85*q^866+24054*p^83*q^868+874565*p^81*q^870+14404258*p^79* q^872+231699861*p^77*q^874+2699939596*p^75*q^876+11441856886*p^73*q^878+ 8554380592*p^71*q^880+1406259557*p^69*q^882+122536570*p^67*q^884+7727747*p^65*q ^886+380026*p^63*q^888+7400*p^61*q^890+772*p^59*q^892+2976*p^84*q^866+180512*p^ 82*q^868+3017148*p^80*q^870+54947064*p^78*q^872+789692852*p^76*q^874+6439177461 *p^74*q^876+12601834458*p^72*q^878+4207564710*p^70*q^880+471685290*p^68*q^882+ 34769814*p^66*q^884+1893238*p^64*q^886+85028*p^62*q^888+1276*p^60*q^890+40*p^58 *q^892+56*p^85*q^864+18306*p^83*q^866+733336*p^81*q^868+12216046*p^79*q^870+ 199747140*p^77*q^872+2376539815*p^75*q^874+11210150388*p^73*q^876+9165831035*p^ 71*q^878+1640761806*p^69*q^880+142430851*p^67*q^882+9439540*p^65*q^884+454848*p ^63*q^886+10040*p^61*q^888+2196*p^59*q^890+1536*p^84*q^864+125334*p^82*q^866+ 2559321*p^80*q^868+45936516*p^78*q^870+688290534*p^76*q^872+5865699636*p^74*q^ 874+13067386077*p^72*q^876+4684649240*p^70*q^878+549299020*p^68*q^880+40901132* p^66*q^882+2197490*p^64*q^884+83848*p^62*q^886+1132*p^60*q^888+40*p^58*q^890+8* p^85*q^862+15812*p^83*q^864+639856*p^81*q^866+10507454*p^79*q^868+172124659*p^ 77*q^870+2131711908*p^75*q^872+10700909443*p^73*q^874+9957829592*p^71*q^876+ 1861207872*p^69*q^878+167794830*p^67*q^880+10990433*p^65*q^882+534714*p^63*q^ 884+22538*p^61*q^886+766*p^59*q^888+524*p^84*q^862+97132*p^82*q^864+2270474*p^ 80*q^866+39661073*p^78*q^868+591591594*p^76*q^870+5432235713*p^74*q^872+ 13109454742*p^72*q^874+5280973655*p^70*q^876+633761218*p^68*q^878+48647516*p^66 *q^880+2713574*p^64*q^882+116898*p^62*q^884+824*p^60*q^886+520*p^58*q^888+14058 *p^83*q^862+494646*p^81*q^864+8692652*p^79*q^866+146402464*p^77*q^868+ 1867720488*p^75*q^870+10347682576*p^73*q^872+10557758902*p^71*q^874+2151372880* p^69*q^876+197218675*p^67*q^878+12985764*p^65*q^880+629822*p^63*q^882+18508*p^ 61*q^884+138*p^59*q^886+380*p^84*q^860+73206*p^82*q^862+2027270*p^80*q^864+ 33549744*p^78*q^866+518300633*p^76*q^868+4886880442*p^74*q^870+13442353180*p^72 *q^872+5818746734*p^70*q^874+740416916*p^68*q^876+56080764*p^66*q^878+3310580*p ^64*q^880+142870*p^62*q^882+4040*p^60*q^884+460*p^58*q^886+5112*p^83*q^860+ 406590*p^81*q^862+7310520*p^79*q^864+125189072*p^77*q^866+1653660380*p^75*q^868 +9750462572*p^73*q^870+11346538410*p^71*q^872+2438770600*p^69*q^874+230624462*p ^67*q^876+15459508*p^65*q^878+724502*p^63*q^880+22086*p^61*q^882+24*p^59*q^884+ 48*p^57*q^886+60*p^84*q^858+76009*p^82*q^860+1674776*p^80*q^862+29146902*p^78*q ^864+444874340*p^76*q^866+4491351463*p^74*q^868+13277253498*p^72*q^870+ 6523694174*p^70*q^872+849864224*p^68*q^874+66534784*p^66*q^876+3897480*p^64*q^ 878+183124*p^62*q^880+5016*p^60*q^882+8*p^58*q^884+28*p^85*q^856+4626*p^83*q^ 858+303682*p^81*q^860+6364778*p^79*q^862+107219306*p^77*q^864+1442501562*p^75*q ^866+9291116646*p^73*q^868+11863881871*p^71*q^870+2802290654*p^69*q^872+ 269527175*p^67*q^874+18420286*p^65*q^876+912822*p^63*q^878+30242*p^61*q^880+354 *p^59*q^882+158*p^57*q^884+48*p^84*q^856+42168*p^82*q^858+1409968*p^80*q^860+ 24230702*p^78*q^862+384228988*p^76*q^864+4007861008*p^74*q^866+13405537563*p^72 *q^868+7128512228*p^70*q^870+995607207*p^68*q^872+78104494*p^66*q^874+4583322*p ^64*q^876+197762*p^62*q^878+3328*p^60*q^880+4*p^85*q^854+1556*p^83*q^856+291914 *p^81*q^858+5433748*p^79*q^860+91196736*p^77*q^862+1277541990*p^75*q^864+ 8662132337*p^73*q^866+12600183518*p^71*q^868+3150536676*p^69*q^870+313352398*p^ 67*q^872+21366312*p^65*q^874+1069392*p^63*q^876+46152*p^61*q^878+1096*p^59*q^ 880+330*p^84*q^854+32477*p^82*q^856+1157602*p^80*q^858+20933679*p^78*q^860+ 330908600*p^76*q^862+3637010325*p^74*q^864+13092321202*p^72*q^866+7898866052*p^ 70*q^868+1141794278*p^68*q^870+93076237*p^66*q^872+5536614*p^64*q^874+258238*p^ 62*q^876+4552*p^60*q^878+8*p^58*q^880+28*p^56*q^882+10*p^85*q^852+1036*p^83*q^ 854+231818*p^81*q^856+4588030*p^79*q^858+78197786*p^77*q^860+1100907219*p^75*q^ 862+8164615010*p^73*q^864+13004613908*p^71*q^866+3609546908*p^69*q^868+ 365930684*p^67*q^870+25274264*p^65*q^872+1317556*p^63*q^874+50422*p^61*q^876+ 512*p^59*q^878+124*p^84*q^852+18256*p^82*q^854+948389*p^80*q^856+17590208*p^78* q^858+284607801*p^76*q^860+3226380030*p^74*q^862+13020466356*p^72*q^864+ 8566223664*p^70*q^866+1327555343*p^68*q^868+107990268*p^66*q^870+6681170*p^64*q ^872+273984*p^62*q^874+8472*p^60*q^876+140*p^58*q^878+6*p^85*q^850+1820*p^83*q^ 852+170004*p^81*q^854+3960982*p^79*q^856+66954062*p^77*q^858+969219288*p^75*q^ 860+7508159117*p^73*q^862+13641189912*p^71*q^864+4033163848*p^69*q^866+ 425721232*p^67*q^868+29881006*p^65*q^870+1488008*p^63*q^872+73658*p^61*q^874+ 608*p^59*q^876+2*p^55*q^880+116*p^84*q^850+11058*p^82*q^852+888026*p^80*q^854+ 15008660*p^78*q^856+243487214*p^76*q^858+2905361337*p^74*q^860+12534092664*p^72 *q^862+9402202762*p^70*q^864+1516410502*p^68*q^866+128581983*p^66*q^868+7844866 *p^64*q^870+347174*p^62*q^872+10276*p^60*q^874+64*p^58*q^876+16*p^85*q^848+1452 *p^83*q^850+124576*p^81*q^852+3157091*p^79*q^854+57318680*p^77*q^856+836443430* p^75*q^858+6995857076*p^73*q^860+13875807093*p^71*q^862+4590032842*p^69*q^864+ 496869542*p^67*q^866+35220376*p^65*q^868+1888403*p^63*q^870+86224*p^61*q^872+ 948*p^59*q^874+8*p^57*q^876+84*p^84*q^848+9676*p^82*q^850+703019*p^80*q^852+ 12836956*p^78*q^854+209057180*p^76*q^856+2552949964*p^74*q^858+12303016403*p^72 *q^860+10069655298*p^70*q^862+1761496484*p^68*q^864+148125920*p^66*q^866+ 9336970*p^64*q^868+385566*p^62*q^870+15346*p^60*q^872+92*p^58*q^874+884*p^83*q^ 848+79336*p^81*q^850+2826374*p^79*q^852+48253148*p^77*q^854+733194108*p^75*q^ 856+6372246415*p^73*q^858+14369577720*p^71*q^860+5095936567*p^69*q^862+ 579502212*p^67*q^864+41823399*p^65*q^866+2268382*p^63*q^868+85662*p^61*q^870+ 1612*p^59*q^872+4*p^57*q^874+200*p^84*q^846+8684*p^82*q^848+590178*p^80*q^850+ 10784568*p^78*q^852+179547078*p^76*q^854+2277634351*p^74*q^856+11690517170*p^72 *q^858+10936341519*p^70*q^860+2003150532*p^68*q^862+174631769*p^66*q^864+ 10878620*p^64*q^866+466122*p^62*q^868+28100*p^60*q^870+48*p^58*q^872+4*p^85*q^ 844+704*p^83*q^846+63836*p^81*q^848+2396584*p^79*q^850+41688204*p^77*q^852+ 626570990*p^75*q^854+5888187270*p^73*q^856+14401338858*p^71*q^858+5760788224*p^ 69*q^860+671812994*p^67*q^862+50076072*p^65*q^864+2774896*p^63*q^866+99398*p^61 *q^868+1682*p^59*q^870+8*p^57*q^872+36*p^84*q^844+6570*p^82*q^846+411514*p^80*q ^848+9067398*p^78*q^850+153196558*p^76*q^852+1994503228*p^74*q^854+11285515952* p^72*q^856+11587029548*p^70*q^858+2311228563*p^68*q^860+203959192*p^66*q^862+ 12769604*p^64*q^864+578142*p^62*q^866+26454*p^60*q^868+176*p^58*q^870+1138*p^83 *q^844+41776*p^81*q^846+2124920*p^79*q^848+35109259*p^77*q^850+547233748*p^75*q ^852+5296868033*p^73*q^854+14752734972*p^71*q^856+6334763479*p^69*q^858+ 784850318*p^67*q^860+57855750*p^65*q^862+3304962*p^63*q^864+103711*p^61*q^866+ 6076*p^59*q^868+68*p^84*q^842+4614*p^82*q^844+353740*p^80*q^846+7736951*p^78*q^ 848+131831810*p^76*q^850+1769939486*p^74*q^852+10622962200*p^72*q^854+ 12408788973*p^70*q^856+2621640520*p^68*q^858+238832890*p^66*q^860+15498056*p^64 *q^862+733020*p^62*q^864+28984*p^60*q^866+56*p^58*q^868+684*p^83*q^842+38236*p^ 81*q^844+1681994*p^79*q^846+30027190*p^77*q^848+467476200*p^75*q^850+4830013844 *p^73*q^852+14552566461*p^71*q^854+7122758196*p^69*q^856+903893468*p^67*q^858+ 68953242*p^65*q^860+3855490*p^63*q^862+131900*p^61*q^864+8068*p^59*q^866+8*p^57 *q^868+36*p^84*q^840+4738*p^82*q^842+227977*p^80*q^844+6638158*p^78*q^846+ 112142121*p^76*q^848+1536633970*p^74*q^850+10135385748*p^72*q^852+13013954822*p ^70*q^854+3010369572*p^68*q^856+279132920*p^66*q^858+18297420*p^64*q^860+913452 *p^62*q^862+22318*p^60*q^864+668*p^58*q^866+548*p^83*q^840+28124*p^81*q^842+ 1443226*p^79*q^844+25429819*p^77*q^846+406141952*p^75*q^848+4324590060*p^73*q^ 850+14646742858*p^71*q^852+7753483680*p^69*q^854+1053765496*p^67*q^856+79719584 *p^65*q^858+4513370*p^63*q^860+162232*p^61*q^862+10196*p^59*q^864+4700*p^82*q^ 840+182672*p^80*q^842+5760274*p^78*q^844+95568876*p^76*q^846+1358506536*p^74*q^ 848+9392484856*p^72*q^850+13792266718*p^70*q^852+3397400004*p^68*q^854+ 328475751*p^66*q^856+21966444*p^64*q^858+1121053*p^62*q^860+27858*p^60*q^862+ 1596*p^58*q^864+566*p^83*q^838+21596*p^81*q^840+1138533*p^79*q^842+21299344*p^ 77*q^844+346467344*p^75*q^846+3904387528*p^73*q^848+14296670924*p^71*q^850+ 8602640588*p^69*q^852+1211320041*p^67*q^854+94777258*p^65*q^856+5285428*p^63*q^ 858+219404*p^61*q^860+7128*p^59*q^862+24*p^57*q^864+3548*p^82*q^838+148548*p^80 *q^840+4850818*p^78*q^842+82398985*p^76*q^844+1171614934*p^74*q^846+8875618221* p^72*q^848+14217282202*p^70*q^850+3889650160*p^68*q^852+381135154*p^66*q^854+ 25721619*p^64*q^856+1352744*p^62*q^858+29646*p^60*q^860+2652*p^58*q^862+100*p^ 83*q^836+19918*p^81*q^838+823084*p^79*q^840+18353139*p^77*q^842+299042352*p^75* q^844+3461813746*p^73*q^846+14202063140*p^71*q^848+9310338216*p^69*q^850+ 1405546684*p^67*q^852+110247928*p^65*q^854+6533090*p^63*q^856+268556*p^61*q^858 +5126*p^59*q^860+176*p^57*q^862+4*p^84*q^834+4140*p^82*q^836+112610*p^80*q^838+ 4304671*p^78*q^840+69585166*p^76*q^842+1028362991*p^74*q^844+8128786678*p^72*q^ 846+14907905911*p^70*q^848+4346465452*p^68*q^850+446206519*p^66*q^852+30503708* p^64*q^854+1487574*p^62*q^856+45186*p^60*q^858+3410*p^58*q^860+64*p^83*q^834+ 18244*p^81*q^836+679712*p^79*q^838+15537628*p^77*q^840+255191149*p^75*q^842+ 3109465832*p^73*q^844+13646551399*p^71*q^846+10236770778*p^69*q^848+1611311237* p^67*q^850+131543310*p^65*q^852+7732763*p^63*q^854+379050*p^61*q^856+4980*p^59* q^858+328*p^57*q^860+1784*p^82*q^834+84950*p^80*q^836+3360728*p^78*q^838+ 59345487*p^76*q^840+884720950*p^74*q^842+7559410466*p^72*q^844+15154391542*p^70 *q^846+4951159916*p^68*q^848+518877370*p^66*q^850+35598887*p^64*q^852+1794666*p ^62*q^854+54253*p^60*q^856+1100*p^58*q^858+8*p^56*q^860+72*p^83*q^832+19910*p^ 81*q^834+530054*p^79*q^836+13534997*p^77*q^838+220408376*p^75*q^840+2734084157* p^73*q^842+13386689796*p^71*q^844+10939309903*p^69*q^846+1866321172*p^67*q^848+ 151713764*p^65*q^850+9257534*p^63*q^852+427422*p^61*q^854+7068*p^59*q^856+1104* p^57*q^858+1042*p^82*q^832+73188*p^80*q^834+2785144*p^78*q^836+50349478*p^76*q^ 838+773787283*p^74*q^840+6878427296*p^72*q^842+15633193402*p^70*q^844+ 5491651970*p^68*q^846+607528252*p^66*q^848+42430860*p^64*q^850+2175532*p^62*q^ 852+80152*p^60*q^854+858*p^58*q^856+12*p^56*q^858+20*p^83*q^830+14344*p^81*q^ 832+414292*p^79*q^834+11595592*p^77*q^836+187383541*p^75*q^838+2431436704*p^73* q^840+12693258401*p^71*q^842+11901232296*p^69*q^844+2135091494*p^67*q^846+ 179729486*p^65*q^848+11056323*p^63*q^850+492552*p^61*q^852+10878*p^59*q^854+532 *p^57*q^856+672*p^82*q^830+77370*p^80*q^832+2182086*p^78*q^834+42631419*p^76*q^ 836+660298202*p^74*q^838+6339580059*p^72*q^840+15710319244*p^70*q^842+ 6201682310*p^68*q^844+699756738*p^66*q^846+50175790*p^64*q^848+2541466*p^62*q^ 850+105668*p^60*q^852+676*p^58*q^854+168*p^56*q^856+8990*p^81*q^830+304606*p^79 *q^832+9916992*p^77*q^834+161610004*p^75*q^836+2130938465*p^73*q^838+ 12258271616*p^71*q^840+12579376987*p^69*q^842+2458108150*p^67*q^844+210225007*p ^65*q^846+12910438*p^63*q^848+598150*p^61*q^850+12040*p^59*q^852+120*p^57*q^854 +468*p^82*q^828+70458*p^80*q^830+1814770*p^78*q^832+36482392*p^76*q^834+ 575343851*p^74*q^836+5689933064*p^72*q^838+16013307796*p^70*q^840+6830938240*p^ 68*q^842+821223738*p^66*q^844+58554384*p^64*q^846+3202052*p^62*q^848+131826*p^ 60*q^850+1833*p^58*q^852+224*p^56*q^854+5894*p^81*q^828+278936*p^79*q^830+ 8117404*p^77*q^832+137133751*p^75*q^834+1880833874*p^73*q^836+11491812134*p^71* q^838+13497607512*p^69*q^840+2795970583*p^67*q^842+246916810*p^65*q^844+ 15589724*p^63*q^846+670992*p^61*q^848+19350*p^59*q^850+24*p^57*q^852+8*p^55*q^ 854+8*p^84*q^824+72*p^82*q^826+52130*p^80*q^828+1363232*p^78*q^830+31685107*p^ 76*q^832+491761104*p^74*q^834+5193255641*p^72*q^836+15818289700*p^70*q^838+ 7668362983*p^68*q^840+944602582*p^66*q^842+69210231*p^64*q^844+3729784*p^62*q^ 846+163374*p^60*q^848+1696*p^58*q^850+8*p^56*q^852+4360*p^81*q^826+262616*p^79* q^828+6790675*p^77*q^830+116805728*p^75*q^832+1634073168*p^73*q^834+10971202308 *p^71*q^836+14095850283*p^69*q^838+3204697810*p^67*q^840+287345310*p^65*q^842+ 18516256*p^63*q^844+832328*p^61*q^846+26772*p^59*q^848+200*p^57*q^850+48*p^55*q ^852+4*p^84*q^822+16*p^82*q^824+40920*p^80*q^826+1093735*p^78*q^828+27043192*p^ 76*q^830+427851930*p^74*q^832+4634100810*p^72*q^834+15890813417*p^70*q^836+ 8357807308*p^68*q^838+1106137649*p^66*q^840+81037374*p^64*q^842+4479556*p^62*q^ 844+180860*p^60*q^846+2516*p^58*q^848+104*p^83*q^822+1814*p^81*q^824+225900*p^ 79*q^826+5536334*p^77*q^828+99015887*p^75*q^830+1434518226*p^73*q^832+ 10136119467*p^71*q^834+14971203664*p^69*q^836+3619560470*p^67*q^838+338223490*p ^65*q^840+21968062*p^63*q^842+996826*p^61*q^844+40786*p^59*q^846+232*p^57*q^848 +8*p^84*q^820+27388*p^80*q^824+944226*p^78*q^826+22849717*p^76*q^828+363924390* p^74*q^830+4187740899*p^72*q^832+15508029388*p^70*q^834+9277102756*p^68*q^836+ 1272021900*p^66*q^838+96047130*p^64*q^840+5322638*p^62*q^842+223980*p^60*q^844+ 3300*p^58*q^846+12*p^56*q^848+4*p^54*q^850+56*p^83*q^820+566*p^81*q^822+197036* p^79*q^824+4364566*p^77*q^826+85763122*p^75*q^828+1240521824*p^73*q^830+ 9556280056*p^71*q^832+15395482395*p^69*q^834+4140153338*p^67*q^836+391402388*p^ 65*q^838+25550764*p^63*q^840+1203816*p^61*q^842+43118*p^59*q^844+236*p^57*q^846 +574*p^82*q^820+18820*p^80*q^822+824892*p^78*q^824+19604090*p^76*q^826+ 314537521*p^74*q^828+3700981860*p^72*q^830+15370923951*p^70*q^832+10026210038*p ^68*q^834+1478039208*p^66*q^836+112611526*p^64*q^838+6728404*p^62*q^840+249366* p^60*q^842+7928*p^58*q^844+16*p^56*q^846+124*p^83*q^818+204*p^81*q^820+145412*p ^79*q^822+3624670*p^77*q^824+72513605*p^75*q^826+1083524268*p^73*q^828+ 8748750330*p^71*q^830+16117635792*p^69*q^832+4640619859*p^67*q^834+461235976*p^ 65*q^836+30491434*p^63*q^838+1380436*p^61*q^840+63108*p^59*q^842+228*p^57*q^844 +464*p^82*q^818+8404*p^80*q^820+731380*p^78*q^822+15928261*p^76*q^824+266909036 *p^74*q^826+3316523669*p^72*q^828+14776038228*p^70*q^830+11044089574*p^68*q^832 +1691943560*p^66*q^834+132691539*p^64*q^836+7770044*p^62*q^838+293906*p^60*q^ 840+7828*p^58*q^842+12*p^56*q^844+8*p^83*q^816+1844*p^81*q^818+113630*p^79*q^ 820+3002557*p^77*q^822+63211386*p^75*q^824+936127335*p^73*q^826+8140667192*p^71 *q^828+16392493099*p^69*q^830+5259819154*p^67*q^832+534864524*p^65*q^834+ 35500352*p^63*q^836+1790355*p^61*q^838+72710*p^59*q^840+946*p^57*q^842+832*p^82 *q^816+4276*p^80*q^818+623434*p^78*q^820+13343906*p^76*q^822+229772155*p^74*q^ 824+2908951270*p^72*q^826+14431009831*p^70*q^828+11777649476*p^68*q^830+ 1971132791*p^66*q^832+154646074*p^64*q^834+9432090*p^62*q^836+346466*p^60*q^838 +13408*p^58*q^840+8*p^56*q^842+2460*p^81*q^816+74350*p^79*q^818+2537972*p^77*q^ 820+52977463*p^75*q^822+814291206*p^73*q^824+7374796344*p^71*q^826+16916810758* p^69*q^828+5869703842*p^67*q^830+628015928*p^65*q^832+42217066*p^63*q^834+ 2205496*p^61*q^836+70450*p^59*q^838+1186*p^57*q^840+300*p^82*q^814+5070*p^80*q^ 816+506050*p^78*q^818+11020502*p^76*q^820+196070562*p^74*q^822+2583823248*p^72* q^824+13695751704*p^70*q^826+12800875874*p^68*q^828+2240819848*p^66*q^830+ 182115859*p^64*q^832+10939758*p^62*q^834+400208*p^60*q^836+22156*p^58*q^838+52* p^56*q^840+8*p^83*q^812+3244*p^81*q^814+43218*p^79*q^816+2204384*p^77*q^818+ 45216084*p^75*q^820+696895896*p^73*q^822+6809752622*p^71*q^824+16945236084*p^69 *q^826+6619038156*p^67*q^828+726203575*p^65*q^830+50184830*p^63*q^832+2678629*p ^61*q^834+82398*p^59*q^836+1500*p^57*q^838+28*p^82*q^812+9088*p^80*q^814+411770 *p^78*q^816+9237618*p^76*q^818+168754415*p^74*q^820+2258417708*p^72*q^822+ 13198584584*p^70*q^824+13522339848*p^68*q^826+2585356606*p^66*q^828+213317868*p ^64*q^830+12763170*p^62*q^832+539474*p^60*q^834+20742*p^58*q^836+144*p^56*q^838 +3060*p^81*q^812+26558*p^79*q^814+1898644*p^77*q^816+37749130*p^75*q^818+ 605882918*p^73*q^820+6085331003*p^71*q^822+17290226516*p^69*q^824+7293322157*p^ 67*q^826+854583738*p^65*q^828+58739914*p^63*q^830+3375422*p^61*q^832+85368*p^59 *q^834+4886*p^57*q^836+156*p^82*q^810+9300*p^80*q^812+282098*p^78*q^814+7590019 *p^76*q^816+143383280*p^74*q^818+1989012137*p^72*q^820+12372651838*p^70*q^822+ 14534078493*p^68*q^824+2943164832*p^66*q^826+250092405*p^64*q^828+15197476*p^62 *q^830+650106*p^60*q^832+21416*p^58*q^834+48*p^56*q^836+676*p^81*q^810+30204*p^ 79*q^812+1632910*p^77*q^814+32240522*p^75*q^816+517502795*p^73*q^818+5557697324 *p^71*q^820+17045689707*p^69*q^822+8175087418*p^67*q^824+978898903*p^65*q^826+ 69049854*p^63*q^828+3820820*p^61*q^830+109652*p^59*q^832+5684*p^57*q^834+8*p^55 *q^836+20*p^82*q^808+14372*p^80*q^810+192395*p^78*q^812+6480840*p^76*q^814+ 123470816*p^74*q^816+1731005598*p^72*q^818+11767551403*p^70*q^820+15137103660*p ^68*q^822+3380984432*p^66*q^824+294049312*p^64*q^826+18264697*p^62*q^828+910080 *p^60*q^830+18738*p^58*q^832+624*p^56*q^834+1256*p^81*q^808+27842*p^79*q^810+ 1319158*p^77*q^812+26868978*p^75*q^814+446002944*p^73*q^816+4934818607*p^71*q^ 818+17106868550*p^69*q^820+8931854053*p^67*q^822+1150424208*p^65*q^824+81102560 *p^63*q^826+4509372*p^61*q^828+130332*p^59*q^830+7170*p^57*q^832+7058*p^80*q^ 808+135384*p^78*q^810+5605589*p^76*q^812+103382876*p^74*q^814+1520816014*p^72*q ^816+10901816444*p^70*q^818+16080645813*p^68*q^820+3814713624*p^66*q^822+ 344504906*p^64*q^824+21390050*p^62*q^826+1087950*p^60*q^828+19764*p^58*q^830+ 1016*p^56*q^832+532*p^81*q^806+40302*p^79*q^808+1030270*p^77*q^810+22306102*p^ 75*q^812+383292385*p^73*q^814+4456713874*p^71*q^816+16680493589*p^69*q^818+ 9884303070*p^67*q^820+1319011112*p^65*q^822+95944330*p^63*q^824+5247436*p^61*q^ 826+194690*p^59*q^828+4806*p^57*q^830+32*p^55*q^832+6612*p^80*q^806+114168*p^78 *q^808+4817678*p^76*q^810+89920912*p^74*q^812+1308549410*p^72*q^814+10247047156 *p^70*q^816+16535253986*p^68*q^818+4370447862*p^66*q^820+402214406*p^64*q^822+ 25269904*p^62*q^824+1370348*p^60*q^826+21202*p^58*q^828+1908*p^56*q^830+80*p^81 *q^804+36952*p^79*q^806+737290*p^77*q^808+18856904*p^75*q^810+327606508*p^73*q^ 812+3932212225*p^71*q^814+16501092164*p^69*q^816+10706487132*p^67*q^818+ 1538876970*p^65*q^820+112666672*p^63*q^822+6450018*p^61*q^824+252328*p^59*q^826 +3554*p^57*q^828+120*p^55*q^830+20*p^82*q^802+5568*p^80*q^804+105348*p^78*q^806 +4042046*p^76*q^808+75190978*p^74*q^810+1143869971*p^72*q^812+9363093258*p^70*q ^814+17322917263*p^68*q^816+4898915948*p^66*q^818+471501536*p^64*q^820+29881222 *p^62*q^822+1483873*p^60*q^824+32416*p^58*q^826+1760*p^56*q^828+32*p^81*q^802+ 28472*p^79*q^804+558922*p^77*q^806+16105014*p^75*q^808+280091445*p^73*q^810+ 3526422866*p^71*q^812+15857976557*p^69*q^814+11755278986*p^67*q^816+1758087186* p^65*q^818+133162390*p^63*q^820+7471085*p^61*q^822+363244*p^59*q^824+2786*p^57* q^826+244*p^55*q^828+1536*p^80*q^802+119570*p^78*q^804+3331702*p^76*q^806+ 63992875*p^74*q^808+986049340*p^72*q^810+8698445179*p^70*q^812+17550164256*p^68 *q^814+5562568236*p^66*q^816+549474958*p^64*q^818+35271081*p^62*q^820+1833348*p ^60*q^822+46762*p^58*q^824+616*p^56*q^826+8*p^54*q^828+248*p^81*q^800+30974*p^ 79*q^802+427522*p^77*q^804+13610238*p^75*q^806+241117942*p^73*q^808+3081667389* p^71*q^810+15486642816*p^69*q^812+12571076664*p^67*q^814+2052366462*p^65*q^816+ 155688040*p^63*q^818+8995828*p^61*q^820+434732*p^59*q^822+3728*p^57*q^824+568*p ^55*q^826+906*p^80*q^800+102724*p^78*q^802+2572922*p^76*q^804+53452648*p^74*q^ 806+854579299*p^72*q^808+7874175626*p^70*q^810+18143977899*p^68*q^812+ 6192103874*p^66*q^814+643839459*p^64*q^816+41501606*p^62*q^818+2180625*p^60*q^ 820+66356*p^58*q^822+300*p^56*q^824+8*p^54*q^826+2*p^83*q^796+28*p^81*q^798+ 15396*p^79*q^800+373698*p^77*q^802+11780062*p^75*q^804+205243002*p^73*q^806+ 2744071390*p^71*q^808+14678953730*p^69*q^810+13655841472*p^67*q^812+2333699502* p^65*q^814+183265336*p^63*q^816+10537637*p^61*q^818+483124*p^59*q^820+7518*p^57 *q^822+110*p^55*q^824+1336*p^80*q^798+115070*p^78*q^800+2023816*p^76*q^802+ 45714605*p^74*q^804+731896232*p^72*q^806+7247513241*p^70*q^808+18122252570*p^68 *q^810+6986263436*p^66*q^812+746073014*p^64*q^814+49639820*p^62*q^816+2563566*p ^60*q^818+113204*p^58*q^820+204*p^56*q^822+104*p^54*q^824+8*p^83*q^794+10566*p^ 79*q^798+329958*p^77*q^800+9904902*p^75*q^802+175424962*p^73*q^804+2386646226*p ^71*q^806+14109678028*p^69*q^808+14427770868*p^67*q^810+2704490496*p^65*q^812+ 216327612*p^63*q^814+12510194*p^61*q^816+628157*p^59*q^818+7644*p^57*q^820+20*p ^55*q^822+20*p^82*q^794+744*p^80*q^796+86724*p^78*q^798+1551390*p^76*q^800+ 38123342*p^74*q^802+633841290*p^72*q^804+6485951594*p^70*q^806+18513430824*p^68 *q^808+7704441638*p^66*q^810+874530852*p^64*q^812+57625036*p^62*q^814+3051203*p ^60*q^816+114704*p^58*q^818+892*p^56*q^820+20*p^54*q^822+6300*p^79*q^796+347028 *p^77*q^798+8194058*p^75*q^800+149521092*p^73*q^802+2108358448*p^71*q^804+ 13236631436*p^69*q^806+15459603392*p^67*q^808+3065784782*p^65*q^810+253154656*p ^63*q^812+14834349*p^61*q^814+724794*p^59*q^816+21018*p^57*q^818+8*p^53*q^822+ 104*p^82*q^792+92*p^80*q^794+66618*p^78*q^796+1242938*p^76*q^798+33119224*p^74* q^800+542057694*p^72*q^802+5899329215*p^70*q^804+18216179446*p^68*q^806+ 8639681859*p^66*q^808+1009292478*p^64*q^810+68760468*p^62*q^812+3650188*p^60*q^ 814+162056*p^58*q^816+844*p^56*q^818+72*p^81*q^792+5908*p^79*q^794+320058*p^77* q^796+6547280*p^75*q^798+126488788*p^73*q^800+1822374062*p^71*q^802+12568336222 *p^69*q^804+16152750209*p^67*q^806+3531713416*p^65*q^808+297462911*p^63*q^810+ 17652302*p^61*q^812+861504*p^59*q^814+23484*p^57*q^816+48*p^55*q^818+2*p^53*q^ 820+8*p^82*q^790+56*p^80*q^792+42780*p^78*q^794+1080025*p^76*q^796+28109428*p^ 74*q^798+468685130*p^72*q^800+5244526304*p^70*q^802+18280687576*p^68*q^804+ 9435715634*p^66*q^806+1182110594*p^64*q^808+80360892*p^62*q^810+4280870*p^60*q^ 812+196888*p^58*q^814+2160*p^56*q^816+568*p^81*q^790+2212*p^79*q^792+274300*p^ 77*q^794+5242082*p^75*q^796+106453982*p^73*q^798+1599661492*p^71*q^800+ 11620208261*p^69*q^802+17117233542*p^67*q^804+3982006764*p^65*q^806+349382788*p ^63*q^808+20847612*p^61*q^810+1003630*p^59*q^812+33596*p^57*q^814+112*p^55*q^ 816+8*p^82*q^788+116*p^80*q^790+30044*p^78*q^792+1023762*p^76*q^794+23810080*p^ 74*q^796+401255612*p^72*q^798+4736038810*p^70*q^800+17784603892*p^68*q^802+ 10445905027*p^66*q^804+1359827410*p^64*q^806+95611986*p^62*q^808+5029008*p^60*q ^810+249708*p^58*q^812+3988*p^56*q^814+250*p^81*q^788+1240*p^79*q^790+233676*p^ 77*q^792+4170239*p^75*q^794+91691778*p^73*q^796+1374263373*p^71*q^798+ 10899739830*p^69*q^800+17590765037*p^67*q^802+4569523774*p^65*q^804+408566373*p ^63*q^806+24775090*p^61*q^808+1262052*p^59*q^810+43288*p^57*q^812+80*p^55*q^814 +1626*p^80*q^788+20832*p^78*q^790+875682*p^76*q^792+19758632*p^74*q^794+ 342332068*p^72*q^796+4165336880*p^70*q^798+17642070051*p^68*q^800+11318154172*p ^66*q^802+1585057920*p^64*q^804+112118022*p^62*q^806+6116734*p^60*q^808+263764* p^58*q^810+5208*p^56*q^812+8*p^54*q^814+112*p^81*q^786+330*p^79*q^788+151346*p^ 77*q^790+3551786*p^75*q^792+77709178*p^73*q^794+1204013788*p^71*q^796+ 9974151775*p^69*q^798+18416822044*p^67*q^800+5110721893*p^65*q^802+477665702*p^ 63*q^804+28973571*p^61*q^806+1385158*p^59*q^808+65234*p^57*q^810+500*p^55*q^812 +1944*p^80*q^786+12846*p^78*q^788+860736*p^76*q^790+16365477*p^74*q^792+ 292240706*p^72*q^794+3727669624*p^70*q^796+16877001432*p^68*q^798+12430777642*p ^66*q^800+1815084874*p^64*q^802+133985454*p^62*q^804+7292546*p^60*q^806+353308* p^58*q^808+7328*p^56*q^810+40*p^81*q^784+2752*p^79*q^786+120754*p^77*q^788+ 2948172*p^75*q^790+66468660*p^73*q^792+1031328286*p^71*q^794+9235652924*p^69*q^ 796+18669991253*p^67*q^798+5824404362*p^65*q^800+560013096*p^63*q^802+34241344* p^61*q^804+1695855*p^59*q^806+77340*p^57*q^808+524*p^55*q^810+940*p^80*q^784+ 5236*p^78*q^786+670660*p^76*q^788+13265674*p^74*q^790+249517157*p^72*q^792+ 3259140494*p^70*q^794+16491971451*p^68*q^796+13287619838*p^66*q^798+2114528077* p^64*q^800+155187864*p^62*q^802+8620604*p^60*q^804+398544*p^58*q^806+11158*p^56 *q^808+32*p^54*q^810+6730*p^79*q^784+85892*p^77*q^786+2646888*p^75*q^788+ 56228755*p^73*q^790+900868772*p^71*q^792+8372435226*p^69*q^794+19261944544*p^67 *q^796+6467876275*p^65*q^798+653828742*p^63*q^800+40861300*p^61*q^802+2027532*p ^59*q^804+83637*p^57*q^806+1080*p^55*q^808+744*p^80*q^782+4986*p^78*q^784+ 545898*p^76*q^786+11095606*p^74*q^788+212618976*p^72*q^790+2886647166*p^70*q^ 792+15606664662*p^68*q^794+14412799398*p^66*q^796+2413697426*p^64*q^798+ 184919966*p^62*q^800+10119368*p^60*q^802+468522*p^58*q^804+22212*p^56*q^806+24* p^54*q^808+16*p^81*q^780+5216*p^79*q^782+51336*p^77*q^784+2340550*p^75*q^786+ 47401098*p^73*q^788+765630922*p^71*q^790+7686916424*p^69*q^792+19271388494*p^67 *q^794+7319981950*p^65*q^796+759086778*p^63*q^798+48711462*p^61*q^800+2427735*p ^59*q^802+110132*p^57*q^804+916*p^55*q^806+48*p^80*q^780+14056*p^78*q^782+ 424834*p^76*q^784+9138532*p^74*q^786+181433263*p^72*q^788+2515297620*p^70*q^790 +15002570908*p^68*q^792+15248421426*p^66*q^794+2788040169*p^64*q^796+216702732* p^62*q^798+11882158*p^60*q^800+564626*p^58*q^802+19016*p^56*q^804+128*p^54*q^ 806+5342*p^79*q^780+26842*p^77*q^782+2009414*p^75*q^784+39630146*p^73*q^786+ 665592870*p^71*q^788+6871008085*p^69*q^790+19646586132*p^67*q^792+8061387087*p^ 65*q^794+891017334*p^63*q^796+57026016*p^61*q^798+2905752*p^59*q^800+127437*p^ 57*q^802+4180*p^55*q^804+230*p^80*q^778+16436*p^78*q^780+315366*p^76*q^782+ 7801812*p^74*q^784+154869668*p^72*q^786+2216188628*p^70*q^788+14039835848*p^68* q^790+16317010941*p^66*q^792+3171345288*p^64*q^794+254957079*p^62*q^796+ 14293880*p^60*q^798+660864*p^58*q^800+25522*p^56*q^802+24*p^54*q^804+1784*p^79* q^778+36528*p^77*q^780+1705417*p^75*q^782+33197010*p^73*q^784+566182834*p^71*q^ 786+6243189058*p^69*q^788+19308579246*p^67*q^790+9056690182*p^65*q^792+ 1029136299*p^63*q^794+68314542*p^61*q^796+3426385*p^59*q^798+168936*p^57*q^800+ 5030*p^55*q^802+8*p^53*q^804+32*p^80*q^776+21252*p^78*q^778+191426*p^76*q^780+ 6583970*p^74*q^782+132051014*p^72*q^784+1914048548*p^70*q^786+13342688143*p^68* q^788+17054469238*p^66*q^790+3650108546*p^64*q^792+298358542*p^62*q^794+ 16986928*p^60*q^796+773414*p^58*q^798+27998*p^56*q^800+368*p^54*q^802+1546*p^79 *q^776+35912*p^77*q^778+1374070*p^75*q^780+27723173*p^73*q^782+487836348*p^71*q ^784+5547946504*p^69*q^786+19400586060*p^67*q^788+9862407860*p^65*q^790+ 1204474016*p^63*q^792+79643590*p^61*q^794+4007334*p^59*q^796+187750*p^57*q^798+ 4626*p^55*q^800+15324*p^78*q^776+162576*p^76*q^778+5885103*p^74*q^780+111414342 *p^72*q^782+1686322587*p^70*q^784+12309480792*p^68*q^786+18057994641*p^66*q^788 +4123811158*p^64*q^790+351544827*p^62*q^792+20397060*p^60*q^794+930645*p^58*q^ 796+48982*p^56*q^798+1124*p^54*q^800+844*p^79*q^774+52960*p^77*q^776+1043752*p^ 75*q^778+22963766*p^73*q^780+415628258*p^71*q^782+4978000286*p^69*q^784+ 18832628941*p^67*q^786+10957294848*p^65*q^788+1390369421*p^63*q^790+95650782*p^ 61*q^792+4746982*p^59*q^794+230550*p^57*q^796+4400*p^55*q^798+8*p^53*q^800+8632 *p^78*q^774+124646*p^76*q^776+4912784*p^74*q^778+94832323*p^72*q^780+1442706788 *p^70*q^782+11563857089*p^68*q^784+18580431188*p^66*q^786+4729106474*p^64*q^788 +409708282*p^62*q^790+23820041*p^60*q^792+1118640*p^58*q^794+52000*p^56*q^796+ 648*p^54*q^798+80*p^79*q^772+60972*p^77*q^774+778086*p^75*q^776+19538119*p^73*q ^778+358289128*p^71*q^780+4399301078*p^69*q^782+18648692632*p^67*q^784+ 11831854629*p^65*q^786+1615725618*p^63*q^788+111414042*p^61*q^790+5863028*p^59* q^792+234025*p^57*q^794+10768*p^55*q^796+148*p^53*q^798+4*p^80*q^770+8064*p^78* q^772+117884*p^76*q^774+4166692*p^74*q^776+79998396*p^72*q^778+1260153225*p^70* q^780+10539648852*p^68*q^782+19409946505*p^66*q^784+5301257314*p^64*q^786+ 483210360*p^62*q^788+28797306*p^60*q^790+1262478*p^58*q^792+77182*p^56*q^794+ 616*p^54*q^796+64*p^79*q^770+42956*p^77*q^772+621384*p^75*q^774+16611460*p^73*q ^776+303088456*p^71*q^778+3922292682*p^69*q^780+17876533860*p^67*q^782+ 13022352826*p^65*q^784+1856580958*p^63*q^786+132671852*p^61*q^788+6897197*p^59* q^790+288826*p^57*q^792+13042*p^55*q^794+64*p^53*q^796+4*p^82*q^766+2098*p^78*q ^770+153738*p^76*q^772+3331192*p^74*q^774+67168055*p^72*q^776+1080759420*p^70*q ^778+9766541530*p^68*q^780+19700337338*p^66*q^782+6030429099*p^64*q^784+ 562886562*p^62*q^786+33662984*p^60*q^788+1574934*p^58*q^790+82199*p^56*q^792+ 1336*p^54*q^794+8*p^52*q^796+52*p^79*q^768+42098*p^77*q^770+445884*p^75*q^772+ 14129904*p^73*q^774+260812588*p^71*q^776+3430432006*p^69*q^778+17432924720*p^67 *q^780+13911147006*p^65*q^782+2162332276*p^63*q^784+154368987*p^61*q^786+ 8290538*p^59*q^788+325352*p^57*q^790+18990*p^55*q^792+88*p^53*q^794+1280*p^78*q ^768+144614*p^76*q^770+2713452*p^74*q^772+56630548*p^72*q^774+939987715*p^70*q^ 776+8828332632*p^68*q^778+20290676090*p^66*q^780+6709040942*p^64*q^782+ 660011622*p^62*q^784+40318116*p^60*q^786+1903976*p^58*q^788+74094*p^56*q^790+ 2880*p^54*q^792+4*p^52*q^794+48*p^81*q^764+12*p^79*q^766+21824*p^77*q^768+ 427462*p^75*q^770+12030134*p^73*q^772+220920203*p^71*q^774+3035127460*p^69*q^ 776+16475907791*p^67*q^778+15099256354*p^65*q^780+2473924449*p^63*q^782+ 184373520*p^61*q^784+9778782*p^59*q^786+392144*p^57*q^788+34657*p^55*q^790+64*p ^53*q^792+452*p^78*q^766+150900*p^76*q^768+2052954*p^74*q^770+47725103*p^72*q^ 772+799279530*p^70*q^774+8106717827*p^68*q^776+20297242474*p^66*q^778+ 7590943081*p^64*q^780+765525866*p^62*q^782+47807014*p^60*q^784+2295734*p^58*q^ 786+78818*p^56*q^788+2504*p^54*q^790+8*p^52*q^792+8*p^81*q^762+12928*p^77*q^766 +384596*p^75*q^768+10149608*p^73*q^770+188593666*p^71*q^772+2642943985*p^69*q^ 774+15864355948*p^67*q^776+15948134021*p^65*q^778+2851195294*p^63*q^780+ 215221554*p^61*q^782+11536832*p^59*q^784+482764*p^57*q^786+28340*p^55*q^788+452 *p^53*q^790+224*p^80*q^762+378*p^78*q^764+117014*p^76*q^766+1718787*p^74*q^768+ 40332176*p^72*q^770+694611532*p^70*q^772+7238793848*p^68*q^774+20670237227*p^66 *q^776+8355200824*p^64*q^778+903087445*p^62*q^780+56387222*p^60*q^782+2816882*p ^58*q^784+89074*p^56*q^786+9894*p^54*q^788+6180*p^77*q^764+414476*p^75*q^766+ 8238220*p^73*q^768+159617930*p^71*q^770+2320252724*p^69*q^772+14793276478*p^67* q^774+17112290022*p^65*q^776+3256107759*p^63*q^778+253778986*p^61*q^780+ 13958655*p^59*q^782+593512*p^57*q^784+24986*p^55*q^786+116*p^53*q^788+168*p^80* q^760+76*p^78*q^762+79718*p^76*q^764+1318858*p^74*q^766+34424468*p^72*q^768+ 588906494*p^70*q^770+6573269154*p^68*q^772+20352755074*p^66*q^774+9396232936*p^ 64*q^776+1038319030*p^62*q^778+66973943*p^60*q^780+3233012*p^58*q^782+112798*p^ 56*q^784+11480*p^54*q^786+32*p^52*q^788+520*p^79*q^760+3602*p^77*q^762+400378*p ^75*q^764+6833335*p^73*q^766+135788306*p^71*q^768+2012364053*p^69*q^770+ 14058218092*p^67*q^772+17821350964*p^65*q^774+3738534340*p^63*q^776+297938686*p ^61*q^778+16513114*p^59*q^780+755932*p^57*q^782+18124*p^55*q^784+1501*p^53*q^ 786+16*p^80*q^758+58*p^78*q^760+55342*p^76*q^762+1189676*p^74*q^764+29112332*p^ 72*q^766+509779521*p^70*q^768+5825976530*p^68*q^770+20378810027*p^66*q^772+ 10242636570*p^64*q^774+1221281560*p^62*q^776+78753164*p^60*q^778+3920902*p^58*q ^780+133704*p^56*q^782+12204*p^54*q^784+1064*p^79*q^758+1918*p^77*q^760+326056* p^75*q^762+5483398*p^73*q^764+113662001*p^71*q^766+1758326686*p^69*q^768+ 12969903981*p^67*q^770+18899727612*p^65*q^772+4234012941*p^63*q^774+351652440*p ^61*q^776+19842394*p^59*q^778+893324*p^57*q^780+24494*p^55*q^782+3122*p^53*q^ 784+12*p^80*q^756+684*p^78*q^758+27356*p^76*q^760+1146382*p^74*q^762+24326495*p ^72*q^764+433619586*p^70*q^766+5238343268*p^68*q^768+19824379334*p^66*q^770+ 11364351325*p^64*q^772+1405191472*p^62*q^774+93672071*p^60*q^776+4505134*p^58*q ^778+182312*p^56*q^780+6574*p^54*q^782+85*p^52*q^784+392*p^79*q^756+968*p^77*q^ 758+281792*p^75*q^760+4395052*p^73*q^762+97583222*p^71*q^764+1509164081*p^69*q^ 766+12170862270*p^67*q^768+19437422133*p^65*q^770+4850416698*p^63*q^772+ 409769157*p^61*q^774+23318146*p^59*q^776+1135188*p^57*q^778+25460*p^55*q^780+ 4420*p^53*q^782+3018*p^78*q^756+20410*p^76*q^758+1003718*p^74*q^760+20632194*p^ 72*q^762+372112087*p^70*q^764+4614864634*p^68*q^766+19576753728*p^66*q^768+ 12284540424*p^64*q^770+1639728064*p^62*q^772+110193236*p^60*q^774+5611316*p^58* q^776+215164*p^56*q^778+4604*p^54*q^780+522*p^52*q^782+232*p^79*q^754+1066*p^77 *q^756+175448*p^75*q^758+3805862*p^73*q^760+81890051*p^71*q^762+1314420076*p^69 *q^764+11069913468*p^67*q^766+20318856194*p^65*q^768+5450197517*p^63*q^770+ 483705092*p^61*q^772+28092518*p^59*q^774+1244834*p^57*q^776+37950*p^55*q^778+ 4626*p^53*q^780+2836*p^78*q^754+10362*p^76*q^756+960316*p^74*q^758+16710817*p^ 72*q^760+314582816*p^70*q^762+4115715176*p^68*q^764+18776144204*p^66*q^766+ 13511228624*p^64*q^768+1880922494*p^62*q^770+131024336*p^60*q^772+6506040*p^58* q^774+301444*p^56*q^776+4508*p^54*q^778+760*p^52*q^780+20*p^79*q^752+4700*p^77* q^754+130728*p^75*q^756+3153564*p^73*q^758+70151696*p^71*q^760+1130126694*p^69* q^762+10268128380*p^67*q^764+20576325578*p^65*q^766+6194116470*p^63*q^768+ 562702748*p^61*q^770+32891180*p^59*q^772+1504398*p^57*q^774+45920*p^55*q^776+ 1086*p^53*q^778+42*p^51*q^780+1996*p^78*q^752+7034*p^76*q^754+779794*p^74*q^756 +14134822*p^72*q^758+270179077*p^70*q^760+3590970512*p^68*q^762+18306189758*p^ 66*q^764+14426813532*p^64*q^766+2193828882*p^62*q^768+153220216*p^60*q^770+ 8017753*p^58*q^772+367988*p^56*q^774+5916*p^54*q^776+2188*p^52*q^778+8968*p^77* q^752+84502*p^75*q^754+2863760*p^73*q^756+58387578*p^71*q^758+979075872*p^69*q^ 760+9258721412*p^67*q^762+21217465366*p^65*q^764+6902124275*p^63*q^766+ 663440350*p^61*q^768+39527662*p^59*q^770+1763138*p^57*q^772+60090*p^55*q^774+ 824*p^53*q^776+40*p^51*q^778+752*p^78*q^750+7384*p^76*q^752+602234*p^74*q^754+ 11460224*p^72*q^756+227858966*p^70*q^758+3175336809*p^68*q^760+17295761898*p^66 *q^762+15699631421*p^64*q^764+2508731420*p^62*q^766+181123884*p^60*q^768+ 9388232*p^58*q^770+422680*p^56*q^772+9408*p^54*q^774+750*p^52*q^776+4*p^79*q^ 748+9436*p^77*q^750+54244*p^75*q^752+2552416*p^73*q^754+50017260*p^71*q^756+ 836136787*p^69*q^758+8511293256*p^67*q^760+21204726285*p^65*q^762+7786682692*p^ 63*q^764+765864776*p^61*q^766+46960116*p^59*q^768+2080588*p^57*q^770+91696*p^55 *q^772+586*p^53*q^774+520*p^51*q^776+40*p^78*q^748+17556*p^76*q^750+467904*p^74 *q^752+9716896*p^72*q^754+194586137*p^70*q^756+2761164878*p^68*q^758+ 16594946287*p^66*q^760+16540856100*p^64*q^762+2908155387*p^62*q^764+215076556*p ^60*q^766+11342368*p^58*q^768+505370*p^56*q^770+9302*p^54*q^772+120*p^52*q^774+ 6860*p^77*q^748+34780*p^75*q^750+2189912*p^73*q^752+41288852*p^71*q^754+ 722105790*p^69*q^756+7581597043*p^67*q^758+21597066406*p^65*q^760+8605564696*p^ 63*q^762+903024668*p^61*q^764+54750806*p^59*q^766+2571766*p^57*q^768+115866*p^ 55*q^770+1550*p^53*q^772+460*p^51*q^774+124*p^78*q^746+24450*p^76*q^748+324296* p^74*q^750+8196884*p^72*q^752+164943000*p^70*q^754+2426368846*p^68*q^756+ 15526480542*p^66*q^758+17748168900*p^64*q^760+3305580874*p^62*q^762+251718110*p ^60*q^764+13715810*p^58*q^766+535476*p^56*q^768+15728*p^54*q^770+24*p^52*q^772+ 48*p^50*q^774+1736*p^77*q^746+41628*p^75*q^748+1842386*p^73*q^750+34755654*p^71 *q^752+614322980*p^69*q^754+6883660840*p^67*q^756+21250639497*p^65*q^758+ 9651721760*p^63*q^760+1042860116*p^61*q^762+65474270*p^59*q^764+3023958*p^57*q^ 766+155616*p^55*q^768+1548*p^53*q^770+8*p^51*q^772+16*p^78*q^744+29212*p^76*q^ 746+227414*p^74*q^748+7121392*p^72*q^750+140909291*p^70*q^752+2099083042*p^68*q ^754+14714836901*p^66*q^756+18503187468*p^64*q^758+3805319302*p^62*q^760+ 295453138*p^60*q^762+16200763*p^58*q^764+670132*p^56*q^766+22790*p^54*q^768+180 *p^52*q^770+158*p^50*q^772+1408*p^77*q^744+50080*p^75*q^746+1465800*p^73*q^748+ 29029122*p^71*q^750+527984852*p^69*q^752+6090344123*p^67*q^754+21268047732*p^65 *q^756+10548377787*p^63*q^758+1229040402*p^61*q^760+77697719*p^59*q^762+3781006 *p^57*q^764+159330*p^55*q^766+1714*p^53*q^768+4*p^78*q^742+16430*p^76*q^744+ 171440*p^74*q^746+6130208*p^72*q^748+117478320*p^70*q^750+1834501723*p^68*q^752 +13566565616*p^66*q^754+19625785067*p^64*q^756+4306127356*p^62*q^758+348086864* p^60*q^760+19075822*p^58*q^762+737616*p^56*q^764+41452*p^54*q^766+212*p^52*q^ 768+504*p^77*q^742+69112*p^75*q^744+1141826*p^73*q^746+24255118*p^71*q^748+ 450487164*p^69*q^750+5486598666*p^67*q^752+20679850712*p^65*q^754+11677130562*p ^63*q^756+1412307770*p^61*q^758+91816524*p^59*q^760+4475395*p^57*q^762+193246*p ^55*q^764+2624*p^53*q^766+12*p^51*q^768+28*p^49*q^770+10044*p^76*q^742+164510*p ^74*q^744+5254026*p^72*q^746+100828278*p^70*q^748+1575987616*p^68*q^750+ 12713828770*p^66*q^752+20130862094*p^64*q^754+4942353855*p^62*q^756+407403626*p ^60*q^758+22904710*p^58*q^760+961272*p^56*q^762+46190*p^54*q^764+148*p^52*q^766 +2*p^81*q^736+112*p^77*q^740+68306*p^75*q^742+834882*p^73*q^744+20611327*p^71*q ^746+384775898*p^69*q^748+4807821792*p^67*q^750+20444253452*p^65*q^752+ 12654557700*p^63*q^754+1652294298*p^61*q^756+108697056*p^59*q^758+5553498*p^57* q^760+190982*p^55*q^762+7612*p^53*q^764+12*p^51*q^766+4*p^78*q^738+5974*p^76*q^ 740+148626*p^74*q^742+4399164*p^72*q^744+83673504*p^70*q^746+1369555259*p^68*q^ 748+11585900438*p^66*q^750+21090276612*p^64*q^752+5542644482*p^62*q^754+ 479053899*p^60*q^756+26868800*p^58*q^758+1113510*p^56*q^760+61060*p^54*q^762+ 172*p^52*q^764+2*p^48*q^768+24*p^77*q^738+50272*p^75*q^740+697444*p^73*q^742+ 17493766*p^71*q^744+327114590*p^69*q^746+4301258416*p^67*q^748+19558973278*p^65 *q^750+13907099086*p^63*q^752+1892734926*p^61*q^754+128979406*p^59*q^756+ 6501054*p^57*q^758+220136*p^55*q^760+10080*p^53*q^762+12*p^51*q^764+28*p^80*q^ 734+2116*p^76*q^738+176114*p^74*q^740+3529688*p^72*q^742+71475679*p^70*q^744+ 1176407068*p^68*q^746+10707227620*p^66*q^748+21336508392*p^64*q^750+6310801303* p^62*q^752+561756850*p^60*q^754+32006573*p^58*q^756+1465790*p^56*q^758+70608*p^ 54*q^760+744*p^52*q^762+108*p^77*q^736+37818*p^75*q^738+555524*p^73*q^740+ 14899804*p^71*q^742+278663274*p^69*q^744+3740822456*p^67*q^746+19061206670*p^65 *q^748+14851019353*p^63*q^750+2214926872*p^61*q^752+150635325*p^59*q^754+ 7804710*p^57*q^756+258316*p^55*q^758+14400*p^53*q^760+8*p^51*q^762+1044*p^76*q^ 736+163212*p^74*q^738+2850642*p^72*q^740+59444002*p^70*q^742+1019295927*p^68*q^ 744+9675926434*p^66*q^746+22003437257*p^64*q^748+7036322634*p^62*q^750+ 658393662*p^60*q^752+38339802*p^58*q^754+1781814*p^56*q^756+56724*p^54*q^758+ 1736*p^52*q^760+158*p^79*q^732+36*p^77*q^734+19664*p^75*q^736+494034*p^73*q^738 +12566850*p^71*q^740+236354891*p^69*q^742+3313320134*p^67*q^744+18023522346*p^ 65*q^746+16130266794*p^63*q^748+2523199722*p^61*q^750+178789176*p^59*q^752+ 9052769*p^57*q^754+315860*p^55*q^756+25812*p^53*q^758+24*p^51*q^760+888*p^76*q^ 734+151920*p^74*q^736+2324120*p^72*q^738+50812057*p^70*q^740+867641232*p^68*q^ 742+8869594863*p^66*q^744+21980184478*p^64*q^746+7944358526*p^62*q^748+ 766219752*p^60*q^750+45793916*p^58*q^752+2189632*p^56*q^754+61076*p^54*q^756+ 1700*p^52*q^758+50*p^79*q^730+4*p^77*q^732+12972*p^75*q^734+450112*p^73*q^736+ 10604956*p^71*q^738+200264988*p^69*q^740+2875707033*p^67*q^742+17271042964*p^65 *q^744+17045244851*p^63*q^746+2930956230*p^61*q^748+211494950*p^59*q^750+ 10773982*p^57*q^752+436162*p^55*q^754+22412*p^53*q^756+216*p^51*q^758+460*p^78* q^730+692*p^76*q^732+106118*p^74*q^734+1903658*p^72*q^736+42249842*p^70*q^738+ 749988549*p^68*q^740+7895313812*p^66*q^742+22401264030*p^64*q^744+8777372904*p^ 62*q^746+900700858*p^60*q^748+53593110*p^58*q^750+2620193*p^56*q^752+57636*p^54 *q^754+5936*p^52*q^756+16*p^77*q^730+6424*p^75*q^732+443122*p^73*q^734+8672970* p^71*q^736+170380063*p^69*q^738+2528678050*p^67*q^740+16159580986*p^65*q^742+ 18247285390*p^63*q^744+3331156731*p^61*q^746+248256538*p^59*q^748+12887478*p^57 *q^750+542758*p^55*q^752+20268*p^53*q^754+52*p^51*q^756+546*p^78*q^728+152*p^76 *q^730+81094*p^74*q^732+1570750*p^72*q^734+36480160*p^70*q^736+637597758*p^68*q ^738+7172114466*p^66*q^740+21972552336*p^64*q^742+9848936554*p^62*q^744+ 1041436440*p^60*q^746+64528059*p^58*q^748+3068520*p^56*q^750+88500*p^54*q^752+ 7884*p^52*q^754+12*p^50*q^756+748*p^77*q^728+5842*p^75*q^730+385358*p^73*q^732+ 7235642*p^71*q^734+143680940*p^69*q^736+2180297684*p^67*q^738+15296107770*p^65* q^740+19055223575*p^63*q^742+3846805680*p^61*q^744+292353413*p^59*q^746+ 15497338*p^57*q^748+709388*p^55*q^750+12112*p^53*q^752+704*p^51*q^754+40*p^78*q ^726+216*p^76*q^728+48812*p^74*q^730+1337789*p^72*q^732+30289748*p^70*q^734+ 546875833*p^68*q^736+6343219384*p^66*q^738+22069428820*p^64*q^740+10748376360*p ^62*q^742+1222684484*p^60*q^744+75799250*p^58*q^746+3535638*p^56*q^748+109392*p ^54*q^750+8728*p^52*q^752+2334*p^77*q^726+2752*p^75*q^728+325608*p^73*q^730+ 6063882*p^71*q^732+121363822*p^69*q^734+1913112190*p^67*q^736+14108337404*p^65* q^738+20181791866*p^63*q^740+4345834782*p^61*q^742+343661962*p^59*q^744+ 18390776*p^57*q^746+865630*p^55*q^748+14592*p^53*q^750+1604*p^51*q^752+40*p^78* q^724+860*p^76*q^726+34578*p^74*q^728+1219998*p^72*q^730+25524010*p^70*q^732+ 465632448*p^68*q^734+5695685470*p^66*q^736+21391218734*p^64*q^738+11927832748*p ^62*q^740+1412543040*p^60*q^742+91039955*p^58*q^744+4186944*p^56*q^746+162717*p ^54*q^748+5556*p^52*q^750+28*p^50*q^752+788*p^77*q^724+1956*p^75*q^726+257684*p ^73*q^728+4884271*p^71*q^730+103444548*p^69*q^732+1634196805*p^67*q^734+ 13206074762*p^65*q^736+20729477714*p^63*q^738+4997458608*p^61*q^740+402776276*p ^59*q^742+21992342*p^57*q^744+1050559*p^55*q^746+17834*p^53*q^748+2528*p^51*q^ 750+5092*p^76*q^724+24230*p^74*q^726+1026168*p^72*q^728+21550752*p^70*q^730+ 397585987*p^68*q^732+5005459102*p^66*q^734+21151247551*p^64*q^736+12907856664*p ^62*q^738+1647602642*p^60*q^740+106270400*p^58*q^742+5054352*p^56*q^744+202250* p^54*q^746+2266*p^52*q^748+176*p^50*q^750+488*p^77*q^722+2150*p^75*q^724+178371 *p^73*q^726+4225784*p^71*q^728+86598088*p^69*q^730+1424153690*p^67*q^732+ 12038297897*p^65*q^734+21682843616*p^63*q^736+5601203606*p^61*q^738+473992898*p ^59*q^740+26727292*p^57*q^742+1146582*p^55*q^744+28655*p^53*q^746+3196*p^51*q^ 748+4706*p^76*q^722+15558*p^74*q^724+943764*p^72*q^726+17954196*p^70*q^728+ 338585606*p^68*q^730+4466828352*p^66*q^732+20242142402*p^64*q^734+14175383166*p ^62*q^736+1893185678*p^60*q^738+126372550*p^58*q^740+5890590*p^56*q^742+289830* p^54*q^744+2484*p^52*q^746+328*p^50*q^748+92*p^77*q^720+7200*p^75*q^722+137036* p^73*q^724+3453462*p^71*q^726+73724112*p^69*q^728+1216687943*p^67*q^730+ 11105640796*p^65*q^732+21966511341*p^63*q^734+6390065818*p^61*q^736+555585167*p ^59*q^738+31916542*p^57*q^740+1413930*p^55*q^742+40254*p^53*q^744+792*p^51*q^ 746+8*p^49*q^748+2908*p^76*q^720+12272*p^74*q^722+745238*p^72*q^724+15017258*p^ 70*q^726+286972417*p^68*q^728+3888579830*p^66*q^730+19729727732*p^64*q^732+ 15171847680*p^62*q^734+2212086622*p^60*q^736+147261718*p^58*q^738+7197062*p^56* q^740+330076*p^54*q^742+3204*p^52*q^744+1084*p^50*q^746+13228*p^75*q^720+96446* p^73*q^722+3013062*p^71*q^724+61805510*p^69*q^726+1058655336*p^67*q^728+ 10032180192*p^65*q^730+22621018384*p^63*q^732+7106438193*p^61*q^734+650862144*p ^59*q^736+37616477*p^57*q^738+1548248*p^55*q^740+57278*p^53*q^742+292*p^51*q^ 744+12*p^49*q^746+1516*p^76*q^718+13950*p^74*q^720+608858*p^72*q^722+12643476*p ^70*q^724+244531596*p^68*q^726+3439360173*p^66*q^728+18619262860*p^64*q^730+ 16457195450*p^62*q^732+2532132088*p^60*q^734+176042844*p^58*q^736+8989842*p^56* q^738+413540*p^54*q^740+7772*p^52*q^742+524*p^50*q^744+36*p^77*q^716+10936*p^75 *q^718+73888*p^73*q^720+2576488*p^71*q^722+52242740*p^69*q^724+896106331*p^67*q ^726+9189259696*p^65*q^728+22585125973*p^63*q^730+8046566192*p^61*q^732+ 758497388*p^59*q^734+44947416*p^57*q^736+1795650*p^55*q^738+80960*p^53*q^740+ 152*p^51*q^742+168*p^49*q^744+132*p^76*q^716+24876*p^74*q^718+453436*p^72*q^720 +10463780*p^70*q^722+206573560*p^68*q^724+2983551244*p^66*q^726+17886402613*p^ 64*q^728+17401577300*p^62*q^730+2932181754*p^60*q^732+206443512*p^58*q^734+ 10653522*p^56*q^736+461374*p^54*q^738+7746*p^52*q^740+20*p^50*q^742+9492*p^75*q ^716+55568*p^73*q^718+2239396*p^71*q^720+43856620*p^69*q^722+777925840*p^67*q^ 724+8192503027*p^65*q^726+23026213142*p^63*q^728+8857228966*p^61*q^730+ 890979940*p^59*q^732+52284522*p^57*q^734+2275234*p^55*q^736+107468*p^53*q^738+ 1072*p^51*q^740+224*p^49*q^742+508*p^76*q^714+27396*p^74*q^716+370210*p^72*q^ 718+8841255*p^70*q^720+175769662*p^68*q^722+2620364476*p^66*q^724+16669997402*p ^64*q^726+18638128374*p^62*q^728+3347213766*p^60*q^730+244832087*p^58*q^732+ 13079548*p^56*q^734+481934*p^54*q^736+13782*p^52*q^738+8*p^48*q^742+2636*p^75*q ^714+61356*p^73*q^716+1790444*p^71*q^718+37143564*p^69*q^720+658055800*p^67*q^ 722+7419606682*p^65*q^724+22612810886*p^63*q^726+9975202074*p^61*q^728+ 1031872263*p^59*q^730+62555288*p^57*q^732+2760724*p^55*q^734+145720*p^53*q^736+ 1162*p^51*q^738+68*p^76*q^712+32412*p^74*q^714+266716*p^72*q^716+7453916*p^70*q ^718+148310746*p^68*q^720+2258974412*p^66*q^722+15805287777*p^64*q^724+ 19436047324*p^62*q^726+3853635021*p^60*q^728+286512368*p^58*q^730+15413770*p^56 *q^732+560586*p^54*q^734+20038*p^52*q^736+56*p^50*q^738+48*p^48*q^740+3116*p^75 *q^712+62382*p^73*q^714+1484806*p^71*q^716+31101748*p^69*q^718+567337452*p^67*q ^720+6574872261*p^65*q^722+22655286910*p^63*q^724+10876501651*p^61*q^726+ 1212300468*p^59*q^728+73839872*p^57*q^730+3420792*p^55*q^732+146950*p^53*q^734+ 1388*p^51*q^736+4*p^76*q^710+18132*p^74*q^712+230612*p^72*q^714+6456228*p^70*q^ 716+124971444*p^68*q^718+1977988737*p^66*q^720+14562671098*p^64*q^722+ 20583467693*p^62*q^724+4357582752*p^60*q^726+338508391*p^58*q^728+18234424*p^56 *q^730+647200*p^54*q^732+37156*p^52*q^734+200*p^50*q^736+1448*p^75*q^710+76820* p^73*q^712+1193940*p^71*q^714+25872174*p^69*q^716+481376785*p^67*q^718+ 5893988946*p^65*q^720+21994818916*p^63*q^722+12074768724*p^61*q^724+1405750043* p^59*q^726+88381568*p^57*q^728+4274664*p^55*q^730+173210*p^53*q^732+2364*p^51*q ^734+4*p^47*q^738+12*p^76*q^708+13028*p^74*q^710+204538*p^72*q^712+5283062*p^70 *q^714+106365718*p^68*q^716+1690439944*p^66*q^718+13629826935*p^64*q^720+ 21180757760*p^62*q^722+5008177194*p^60*q^724+394210146*p^58*q^726+21529308*p^56 *q^728+804050*p^54*q^730+39762*p^52*q^732+72*p^50*q^734+280*p^75*q^708+67332*p^ 73*q^710+919302*p^71*q^712+22071638*p^69*q^714+410698370*p^67*q^716+5182114107* p^65*q^718+21739192680*p^63*q^720+13059061816*p^61*q^722+1636550744*p^59*q^724+ 103725615*p^57*q^726+5168310*p^55*q^728+163128*p^53*q^730+6376*p^51*q^732+16*p^ 49*q^734+40*p^76*q^706+11496*p^74*q^708+196824*p^72*q^710+4543364*p^70*q^712+ 89629798*p^68*q^714+1475851806*p^66*q^716+12402177466*p^64*q^718+22094855487*p^ 62*q^720+5621816436*p^60*q^722+466493327*p^58*q^724+25789972*p^56*q^726+1004870 *p^54*q^728+57308*p^52*q^730+162*p^50*q^732+286*p^75*q^706+46116*p^73*q^708+ 794050*p^71*q^710+18538304*p^69*q^712+347578277*p^67*q^714+4608529374*p^65*q^ 716+20775531167*p^63*q^718+14377784356*p^61*q^720+1885920390*p^59*q^722+ 124220256*p^57*q^724+6194376*p^55*q^726+184594*p^53*q^728+7932*p^51*q^730+12*p^ 76*q^704+3772*p^74*q^706+192114*p^72*q^708+3581686*p^70*q^710+75287783*p^68*q^ 712+1259183444*p^66*q^714+11477294190*p^64*q^716+22415888904*p^62*q^718+ 6401513349*p^60*q^720+545056876*p^58*q^722+30233219*p^56*q^724+1291058*p^54*q^ 726+57838*p^52*q^728+614*p^50*q^730+480*p^75*q^704+48642*p^73*q^706+682818*p^71 *q^708+15695509*p^69*q^710+297934688*p^67*q^712+4024189400*p^65*q^714+ 20257423644*p^63*q^716+15329798015*p^61*q^718+2198580618*p^59*q^720+143948247*p ^57*q^722+7378506*p^55*q^724+211200*p^53*q^726+13274*p^51*q^728+4*p^49*q^730+ 3086*p^74*q^704+148124*p^72*q^706+3004825*p^70*q^708+63534606*p^68*q^710+ 1091504364*p^66*q^712+10331139854*p^64*q^714+23090942142*p^62*q^716+7139092014* p^60*q^718+643196321*p^58*q^720+36633596*p^56*q^722+1673766*p^54*q^724+51046*p^ 52*q^726+1270*p^50*q^728+216*p^75*q^702+26946*p^73*q^704+615242*p^71*q^706+ 13126904*p^69*q^708+250926360*p^67*q^710+3549188220*p^65*q^712+19115520156*p^63 *q^714+16678473828*p^61*q^716+2518001206*p^59*q^718+171740642*p^57*q^720+ 8616648*p^55*q^722+256696*p^53*q^724+20150*p^51*q^726+28*p^49*q^728+8*p^76*q^ 700+2772*p^74*q^702+146450*p^72*q^704+2470848*p^70*q^706+53959676*p^68*q^708+ 927473786*p^66*q^710+9475835470*p^64*q^712+23051301370*p^62*q^714+8077406813*p^ 60*q^716+746845576*p^58*q^718+43601632*p^56*q^720+2022160*p^54*q^722+51370*p^52 *q^724+1552*p^50*q^726+26*p^75*q^700+20496*p^73*q^702+493618*p^71*q^704+ 10958080*p^69*q^706+212601832*p^67*q^708+3082099015*p^65*q^710+18338129348*p^63 *q^712+17603918959*p^61*q^714+2915848714*p^59*q^716+201934443*p^57*q^718+ 10176258*p^55*q^720+370062*p^53*q^722+18004*p^51*q^724+152*p^49*q^726+2322*p^74 *q^700+114984*p^72*q^702+2200058*p^70*q^704+45316578*p^68*q^706+804192791*p^66* q^708+8439001898*p^64*q^710+23464298027*p^62*q^712+8898030534*p^60*q^714+ 879968943*p^58*q^716+51374108*p^56*q^718+2466636*p^54*q^720+43074*p^52*q^722+ 4718*p^50*q^724+128*p^75*q^698+13526*p^73*q^700+442592*p^71*q^702+8977378*p^69* q^704+180423260*p^67*q^706+2700011544*p^65*q^708+17109787784*p^63*q^710+ 18864528498*p^61*q^712+3332069324*p^59*q^714+239138428*p^57*q^716+12369061*p^55 *q^718+496278*p^53*q^720+18404*p^51*q^722+48*p^49*q^724+726*p^74*q^698+91748*p^ 72*q^700+1795872*p^70*q^702+38334960*p^68*q^704+678366444*p^66*q^706+7645405647 *p^64*q^708+23088894632*p^62*q^710+10017027926*p^60*q^712+1017269840*p^58*q^714 +61113585*p^56*q^716+2869976*p^54*q^718+60358*p^52*q^720+5164*p^50*q^722+8*p^48 *q^724+8*p^75*q^696+14052*p^73*q^698+370482*p^71*q^700+7582664*p^69*q^702+ 153537546*p^67*q^704+2335454557*p^65*q^706+16218906652*p^63*q^708+19677219611*p ^61*q^710+3828620412*p^59*q^712+279750960*p^57*q^714+14709798*p^55*q^716+625766 *p^53*q^718+9014*p^51*q^720+624*p^49*q^722+976*p^74*q^696+68354*p^72*q^698+ 1544286*p^70*q^700+32232996*p^68*q^702+583624493*p^66*q^704+6760987392*p^64*q^ 706+23081023122*p^62*q^708+10924569190*p^60*q^710+1201116426*p^58*q^712+ 72450412*p^56*q^714+3400058*p^54*q^716+99736*p^52*q^718+7284*p^50*q^720+28*p^75 *q^694+7658*p^73*q^696+316708*p^71*q^698+6473742*p^69*q^700+128538467*p^67*q^ 702+2038690328*p^65*q^704+14916309454*p^63*q^706+20855326802*p^61*q^708+ 4349121019*p^59*q^710+330586348*p^57*q^712+17660219*p^55*q^714+793512*p^53*q^ 716+7534*p^51*q^718+928*p^49*q^720+392*p^74*q^694+56594*p^72*q^696+1267082*p^70 *q^698+26518514*p^68*q^700+495061996*p^66*q^702+6067466156*p^64*q^704+ 22435031516*p^62*q^706+12121271488*p^60*q^708+1382529916*p^58*q^710+86337245*p^ 56*q^712+3928214*p^54*q^714+129350*p^52*q^716+3736*p^50*q^718+32*p^48*q^720+ 5756*p^73*q^694+281056*p^71*q^696+5469934*p^69*q^698+110419116*p^67*q^700+ 1747945254*p^65*q^702+13994199692*p^63*q^704+21405259999*p^61*q^706+4985977746* p^59*q^708+386565877*p^57*q^710+21063844*p^55*q^712+976214*p^53*q^714+14112*p^ 51*q^716+1934*p^49*q^718+356*p^74*q^692+46330*p^72*q^694+1044506*p^70*q^696+ 22551254*p^68*q^698+423453661*p^66*q^700+5322880968*p^64*q^702+22143502769*p^62 *q^704+13113357604*p^60*q^706+1618941264*p^58*q^708+101310530*p^56*q^710+ 4858040*p^54*q^712+176392*p^52*q^714+928*p^50*q^716+112*p^48*q^718+8*p^75*q^690 +4656*p^73*q^692+207146*p^71*q^694+4637592*p^69*q^696+92044753*p^67*q^698+ 1516631774*p^65*q^700+12707824897*p^63*q^702+22413384848*p^61*q^704+5604894672* p^59*q^706+457129908*p^57*q^708+25496895*p^55*q^710+1073956*p^53*q^712+21932*p^ 51*q^714+1792*p^49*q^716+84*p^74*q^690+30968*p^72*q^692+939806*p^70*q^694+ 18893479*p^68*q^696+358202190*p^66*q^698+4745049757*p^64*q^700+21191546932*p^62 *q^702+14432758016*p^60*q^704+1860501878*p^58*q^706+119666060*p^56*q^708+ 5689442*p^54*q^710+257754*p^52*q^712+1224*p^50*q^714+244*p^48*q^716+2562*p^73*q ^690+188888*p^71*q^692+3776762*p^69*q^694+78070580*p^67*q^696+1298833183*p^65*q ^698+11753724164*p^63*q^700+22671144022*p^61*q^702+6380448982*p^59*q^704+ 534531246*p^57*q^706+30292052*p^55*q^708+1281607*p^53*q^710+29800*p^51*q^712+ 204*p^49*q^714+8*p^47*q^716+108*p^74*q^688+28448*p^72*q^690+762538*p^70*q^692+ 16086306*p^68*q^694+306994766*p^66*q^696+4136703442*p^64*q^698+20620259267*p^62 *q^700+15403772390*p^60*q^702+2175649204*p^58*q^704+140180474*p^56*q^706+ 7061486*p^54*q^708+305964*p^52*q^710+2600*p^50*q^712+580*p^48*q^714+1826*p^73*q ^688+142390*p^71*q^690+3208942*p^69*q^692+65054344*p^67*q^694+1122186546*p^65*q ^696+10580037062*p^63*q^698+23363928496*p^61*q^700+7116450073*p^59*q^702+ 630822606*p^57*q^704+36022256*p^55*q^706+1486218*p^53*q^708+50166*p^51*q^710+54 *p^49*q^712+8*p^47*q^714+16*p^74*q^686+17520*p^72*q^688+654646*p^70*q^690+ 13488495*p^68*q^692+258621240*p^66*q^694+3651330632*p^64*q^696+19502027682*p^62 *q^698+16742760070*p^60*q^700+2489890640*p^58*q^702+166042299*p^56*q^704+ 8567762*p^54*q^706+344453*p^52*q^708+4376*p^50*q^710+78*p^48*q^712+784*p^73*q^ 686+122860*p^71*q^688+2661448*p^69*q^690+55151566*p^67*q^692+955790986*p^65*q^ 694+9704300134*p^63*q^696+23338025244*p^61*q^698+8040598280*p^59*q^700+ 731403944*p^57*q^702+42467148*p^55*q^704+1755850*p^53*q^706+73262*p^51*q^708+ 144*p^49*q^710+104*p^47*q^712+15838*p^72*q^686+540334*p^70*q^688+11572204*p^68* q^690+220519365*p^66*q^692+3167914794*p^64*q^694+18676701084*p^62*q^696+ 17683554748*p^60*q^698+2886667771*p^58*q^700+197125296*p^56*q^702+10409442*p^54 *q^704+412290*p^52*q^706+6686*p^50*q^708+592*p^73*q^684+93822*p^71*q^686+ 2280480*p^69*q^688+46016384*p^67*q^690+823303140*p^65*q^692+8627554488*p^63*q^ 694+23740166832*p^61*q^696+8881156408*p^59*q^698+866301132*p^57*q^700+49664278* p^55*q^702+2251268*p^53*q^704+90942*p^51*q^706+482*p^49*q^708+20*p^47*q^710+ 6495*p^72*q^684+453258*p^70*q^686+9399670*p^68*q^688+185605152*p^66*q^690+ 2777270851*p^64*q^692+17433467304*p^62*q^694+18970987303*p^60*q^696+3293893748* p^58*q^698+231342734*p^56*q^700+12434358*p^54*q^702+428828*p^52*q^704+12232*p^ 50*q^706+8*p^46*q^710+8*p^75*q^680+56*p^73*q^682+84680*p^71*q^684+1903934*p^69* q^686+39660498*p^67*q^688+701052704*p^65*q^690+7834541792*p^63*q^692+ 23336467217*p^61*q^694+9955907740*p^59*q^696+997747635*p^57*q^698+58884372*p^55 *q^700+2732516*p^53*q^702+112904*p^51*q^704+836*p^49*q^706+24*p^74*q^680+5952*p ^72*q^682+376594*p^70*q^684+7975182*p^68*q^686+157501824*p^66*q^688+2395655664* p^64*q^690+16506118742*p^62*q^692+19746924532*p^60*q^694+3801746241*p^58*q^696+ 274287970*p^56*q^698+15013882*p^54*q^700+542654*p^52*q^702+18704*p^50*q^704+20* p^48*q^706+2*p^46*q^708+4*p^75*q^678+44*p^73*q^680+52599*p^71*q^682+1590238*p^ 69*q^684+33166024*p^67*q^686+600121162*p^65*q^688+6915792758*p^63*q^690+ 23386040766*p^61*q^692+10897903166*p^59*q^694+1178126046*p^57*q^696+69234190*p^ 55*q^698+3377624*p^53*q^700+117204*p^51*q^702+1224*p^49*q^704+88*p^74*q^678+ 1996*p^72*q^680+334868*p^70*q^682+6760152*p^68*q^684+131474170*p^66*q^686+ 2093527284*p^64*q^688+15195682798*p^62*q^690+20953569001*p^60*q^692+4293534132* p^58*q^694+322746660*p^56*q^696+17453384*p^54*q^698+651382*p^52*q^700+27572*p^ 50*q^702+112*p^48*q^704+8*p^75*q^676+276*p^73*q^678+36166*p^71*q^680+1332438*p^ 69*q^682+27832548*p^67*q^684+510951874*p^65*q^686+6213669692*p^63*q^688+ 22690266458*p^61*q^690+12085520000*p^59*q^692+1361312927*p^57*q^694+82681500*p^ 55*q^696+4141477*p^53*q^698+139360*p^51*q^700+2280*p^49*q^702+64*p^74*q^676+ 1056*p^72*q^678+284498*p^70*q^680+5619170*p^68*q^682+112918051*p^66*q^684+ 1791822544*p^64*q^686+14223669042*p^62*q^688+21488655180*p^60*q^690+4935355662* p^58*q^692+377790754*p^56*q^694+20504501*p^54*q^696+829808*p^52*q^698+28506*p^ 50*q^700+60*p^48*q^702+468*p^73*q^676+24124*p^71*q^678+1125696*p^69*q^680+ 23589044*p^67*q^682+435584212*p^65*q^684+5447441044*p^63*q^686+22390607572*p^61 *q^688+13082659056*p^59*q^690+1594693846*p^57*q^692+98346402*p^55*q^694+5231390 *p^53*q^696+150496*p^51*q^698+5616*p^49*q^700+8*p^47*q^702+120*p^74*q^674+1608* p^72*q^676+188342*p^70*q^678+4698912*p^68*q^680+94470260*p^66*q^682+1555294361* p^64*q^684+12945440286*p^62*q^686+22505473970*p^60*q^688+5540323980*p^58*q^690+ 445425503*p^56*q^692+24090078*p^54*q^694+978498*p^52*q^696+38972*p^50*q^698+116 *p^48*q^700+500*p^73*q^674+11768*p^71*q^676+1061695*p^69*q^678+19796164*p^67*q^ 680+368146339*p^65*q^682+4861090350*p^63*q^684+21448424080*p^61*q^686+ 14363804386*p^59*q^688+1829194403*p^57*q^690+116306460*p^55*q^692+6037119*p^53* q^694+182274*p^51*q^696+5412*p^49*q^698+8*p^74*q^672+2204*p^72*q^674+151972*p^ 70*q^676+3877052*p^68*q^678+80717836*p^66*q^680+1335264080*p^64*q^682+ 11948610193*p^62*q^684+22763323600*p^60*q^686+6316010967*p^58*q^688+523435280*p ^56*q^690+28675631*p^54*q^692+1354700*p^52*q^694+43356*p^50*q^696+752*p^48*q^ 698+784*p^73*q^672+9849*p^71*q^674+825726*p^69*q^676+16624462*p^67*q^678+ 313470670*p^65*q^680+4218488288*p^63*q^682+20862054016*p^61*q^684+15381195282*p ^59*q^686+2142189646*p^57*q^688+136516014*p^55*q^690+7233398*p^53*q^692+219546* p^51*q^694+7540*p^49*q^696+2388*p^72*q^672+93256*p^70*q^674+3391201*p^68*q^676+ 67395076*p^66*q^678+1152819318*p^64*q^680+10781234052*p^62*q^682+23465232220*p^ 60*q^684+7038272784*p^58*q^686+615127643*p^56*q^688+34018512*p^54*q^690+1675497 *p^52*q^692+37664*p^50*q^694+932*p^48*q^696+320*p^73*q^670+10052*p^71*q^672+ 683635*p^69*q^674+13863730*p^67*q^676+266076067*p^65*q^678+3738017780*p^63*q^ 680+19692215297*p^61*q^682+16679484654*p^59*q^684+2446049383*p^57*q^686+ 162195660*p^55*q^688+8337298*p^53*q^690+269232*p^51*q^692+14026*p^49*q^694+44*p ^47*q^696+8*p^74*q^668+3152*p^72*q^670+68574*p^70*q^672+2929680*p^68*q^674+ 57660912*p^66*q^676+979866726*p^64*q^678+9868614472*p^62*q^680+23417762990*p^60 *q^682+7959439435*p^58*q^684+717569390*p^56*q^686+40854725*p^54*q^688+2084142*p ^52*q^690+49382*p^50*q^692+660*p^48*q^694+20*p^73*q^668+10540*p^71*q^670+509768 *p^69*q^672+11592522*p^67*q^674+225145862*p^65*q^676+3234295936*p^63*q^678+ 18893232406*p^61*q^680+17619451853*p^59*q^682+2842032922*p^57*q^684+191532610*p ^55*q^686+9818952*p^53*q^688+387672*p^51*q^690+9944*p^49*q^692+124*p^47*q^694+ 3092*p^72*q^668+47654*p^70*q^670+2513680*p^68*q^672+47953044*p^66*q^674+ 845327121*p^64*q^676+8787640204*p^62*q^678+23868947932*p^60*q^680+8787640204*p^ 58*q^682+845327121*p^56*q^684+47953044*p^54*q^686+2513680*p^52*q^688+47654*p^50 *q^690+3092*p^48*q^692+124*p^73*q^666+9944*p^71*q^668+387672*p^69*q^670+9818952 *p^67*q^672+191532610*p^65*q^674+2842032922*p^63*q^676+17619451853*p^61*q^678+ 18893232406*p^59*q^680+3234295936*p^57*q^682+225145862*p^55*q^684+11592522*p^53 *q^686+509768*p^51*q^688+10540*p^49*q^690+20*p^47*q^692+660*p^72*q^666+49382*p^ 70*q^668+2084142*p^68*q^670+40854725*p^66*q^672+717569390*p^64*q^674+7959439435 *p^62*q^676+23417762990*p^60*q^678+9868614472*p^58*q^680+979866726*p^56*q^682+ 57660912*p^54*q^684+2929680*p^52*q^686+68574*p^50*q^688+3152*p^48*q^690+8*p^46* q^692+44*p^73*q^664+14026*p^71*q^666+269232*p^69*q^668+8337298*p^67*q^670+ 162195660*p^65*q^672+2446049383*p^63*q^674+16679484654*p^61*q^676+19692215297*p ^59*q^678+3738017780*p^57*q^680+266076067*p^55*q^682+13863730*p^53*q^684+683635 *p^51*q^686+10052*p^49*q^688+320*p^47*q^690+932*p^72*q^664+37664*p^70*q^666+ 1675497*p^68*q^668+34018512*p^66*q^670+615127643*p^64*q^672+7038272784*p^62*q^ 674+23465232220*p^60*q^676+10781234052*p^58*q^678+1152819318*p^56*q^680+ 67395076*p^54*q^682+3391201*p^52*q^684+93256*p^50*q^686+2388*p^48*q^688+7540*p^ 71*q^664+219546*p^69*q^666+7233398*p^67*q^668+136516014*p^65*q^670+2142189646*p ^63*q^672+15381195282*p^61*q^674+20862054016*p^59*q^676+4218488288*p^57*q^678+ 313470670*p^55*q^680+16624462*p^53*q^682+825726*p^51*q^684+9849*p^49*q^686+784* p^47*q^688+752*p^72*q^662+43356*p^70*q^664+1354700*p^68*q^666+28675631*p^66*q^ 668+523435280*p^64*q^670+6316010967*p^62*q^672+22763323600*p^60*q^674+ 11948610193*p^58*q^676+1335264080*p^56*q^678+80717836*p^54*q^680+3877052*p^52*q ^682+151972*p^50*q^684+2204*p^48*q^686+8*p^46*q^688+5412*p^71*q^662+182274*p^69 *q^664+6037119*p^67*q^666+116306460*p^65*q^668+1829194403*p^63*q^670+ 14363804386*p^61*q^672+21448424080*p^59*q^674+4861090350*p^57*q^676+368146339*p ^55*q^678+19796164*p^53*q^680+1061695*p^51*q^682+11768*p^49*q^684+500*p^47*q^ 686+116*p^72*q^660+38972*p^70*q^662+978498*p^68*q^664+24090078*p^66*q^666+ 445425503*p^64*q^668+5540323980*p^62*q^670+22505473970*p^60*q^672+12945440286*p ^58*q^674+1555294361*p^56*q^676+94470260*p^54*q^678+4698912*p^52*q^680+188342*p ^50*q^682+1608*p^48*q^684+120*p^46*q^686+8*p^73*q^658+5616*p^71*q^660+150496*p^ 69*q^662+5231390*p^67*q^664+98346402*p^65*q^666+1594693846*p^63*q^668+ 13082659056*p^61*q^670+22390607572*p^59*q^672+5447441044*p^57*q^674+435584212*p ^55*q^676+23589044*p^53*q^678+1125696*p^51*q^680+24124*p^49*q^682+468*p^47*q^ 684+60*p^72*q^658+28506*p^70*q^660+829808*p^68*q^662+20504501*p^66*q^664+ 377790754*p^64*q^666+4935355662*p^62*q^668+21488655180*p^60*q^670+14223669042*p ^58*q^672+1791822544*p^56*q^674+112918051*p^54*q^676+5619170*p^52*q^678+284498* p^50*q^680+1056*p^48*q^682+64*p^46*q^684+2280*p^71*q^658+139360*p^69*q^660+ 4141477*p^67*q^662+82681500*p^65*q^664+1361312927*p^63*q^666+12085520000*p^61*q ^668+22690266458*p^59*q^670+6213669692*p^57*q^672+510951874*p^55*q^674+27832548 *p^53*q^676+1332438*p^51*q^678+36166*p^49*q^680+276*p^47*q^682+8*p^45*q^684+112 *p^72*q^656+27572*p^70*q^658+651382*p^68*q^660+17453384*p^66*q^662+322746660*p^ 64*q^664+4293534132*p^62*q^666+20953569001*p^60*q^668+15195682798*p^58*q^670+ 2093527284*p^56*q^672+131474170*p^54*q^674+6760152*p^52*q^676+334868*p^50*q^678 +1996*p^48*q^680+88*p^46*q^682+1224*p^71*q^656+117204*p^69*q^658+3377624*p^67*q ^660+69234190*p^65*q^662+1178126046*p^63*q^664+10897903166*p^61*q^666+ 23386040766*p^59*q^668+6915792758*p^57*q^670+600121162*p^55*q^672+33166024*p^53 *q^674+1590238*p^51*q^676+52599*p^49*q^678+44*p^47*q^680+4*p^45*q^682+2*p^74*q^ 652+20*p^72*q^654+18704*p^70*q^656+542654*p^68*q^658+15013882*p^66*q^660+ 274287970*p^64*q^662+3801746241*p^62*q^664+19746924532*p^60*q^666+16506118742*p ^58*q^668+2395655664*p^56*q^670+157501824*p^54*q^672+7975182*p^52*q^674+376594* p^50*q^676+5952*p^48*q^678+24*p^46*q^680+836*p^71*q^654+112904*p^69*q^656+ 2732516*p^67*q^658+58884372*p^65*q^660+997747635*p^63*q^662+9955907740*p^61*q^ 664+23336467217*p^59*q^666+7834541792*p^57*q^668+701052704*p^55*q^670+39660498* p^53*q^672+1903934*p^51*q^674+84680*p^49*q^676+56*p^47*q^678+8*p^45*q^680+8*p^ 74*q^650+12232*p^70*q^654+428828*p^68*q^656+12434358*p^66*q^658+231342734*p^64* q^660+3293893748*p^62*q^662+18970987303*p^60*q^664+17433467304*p^58*q^666+ 2777270851*p^56*q^668+185605152*p^54*q^670+9399670*p^52*q^672+453258*p^50*q^674 +6495*p^48*q^676+20*p^73*q^650+482*p^71*q^652+90942*p^69*q^654+2251268*p^67*q^ 656+49664278*p^65*q^658+866301132*p^63*q^660+8881156408*p^61*q^662+23740166832* p^59*q^664+8627554488*p^57*q^666+823303140*p^55*q^668+46016384*p^53*q^670+ 2280480*p^51*q^672+93822*p^49*q^674+592*p^47*q^676+6686*p^70*q^652+412290*p^68* q^654+10409442*p^66*q^656+197125296*p^64*q^658+2886667771*p^62*q^660+ 17683554748*p^60*q^662+18676701084*p^58*q^664+3167914794*p^56*q^666+220519365*p ^54*q^668+11572204*p^52*q^670+540334*p^50*q^672+15838*p^48*q^674+104*p^73*q^648 +144*p^71*q^650+73262*p^69*q^652+1755850*p^67*q^654+42467148*p^65*q^656+ 731403944*p^63*q^658+8040598280*p^61*q^660+23338025244*p^59*q^662+9704300134*p^ 57*q^664+955790986*p^55*q^666+55151566*p^53*q^668+2661448*p^51*q^670+122860*p^ 49*q^672+784*p^47*q^674+78*p^72*q^648+4376*p^70*q^650+344453*p^68*q^652+8567762 *p^66*q^654+166042299*p^64*q^656+2489890640*p^62*q^658+16742760070*p^60*q^660+ 19502027682*p^58*q^662+3651330632*p^56*q^664+258621240*p^54*q^666+13488495*p^52 *q^668+654646*p^50*q^670+17520*p^48*q^672+16*p^46*q^674+8*p^73*q^646+54*p^71*q^ 648+50166*p^69*q^650+1486218*p^67*q^652+36022256*p^65*q^654+630822606*p^63*q^ 656+7116450073*p^61*q^658+23363928496*p^59*q^660+10580037062*p^57*q^662+ 1122186546*p^55*q^664+65054344*p^53*q^666+3208942*p^51*q^668+142390*p^49*q^670+ 1826*p^47*q^672+580*p^72*q^646+2600*p^70*q^648+305964*p^68*q^650+7061486*p^66*q ^652+140180474*p^64*q^654+2175649204*p^62*q^656+15403772390*p^60*q^658+ 20620259267*p^58*q^660+4136703442*p^56*q^662+306994766*p^54*q^664+16086306*p^52 *q^666+762538*p^50*q^668+28448*p^48*q^670+108*p^46*q^672+8*p^73*q^644+204*p^71* q^646+29800*p^69*q^648+1281607*p^67*q^650+30292052*p^65*q^652+534531246*p^63*q^ 654+6380448982*p^61*q^656+22671144022*p^59*q^658+11753724164*p^57*q^660+ 1298833183*p^55*q^662+78070580*p^53*q^664+3776762*p^51*q^666+188888*p^49*q^668+ 2562*p^47*q^670+244*p^72*q^644+1224*p^70*q^646+257754*p^68*q^648+5689442*p^66*q ^650+119666060*p^64*q^652+1860501878*p^62*q^654+14432758016*p^60*q^656+ 21191546932*p^58*q^658+4745049757*p^56*q^660+358202190*p^54*q^662+18893479*p^52 *q^664+939806*p^50*q^666+30968*p^48*q^668+84*p^46*q^670+1792*p^71*q^644+21932*p ^69*q^646+1073956*p^67*q^648+25496895*p^65*q^650+457129908*p^63*q^652+ 5604894672*p^61*q^654+22413384848*p^59*q^656+12707824897*p^57*q^658+1516631774* p^55*q^660+92044753*p^53*q^662+4637592*p^51*q^664+207146*p^49*q^666+4656*p^47*q ^668+8*p^45*q^670+112*p^72*q^642+928*p^70*q^644+176392*p^68*q^646+4858040*p^66* q^648+101310530*p^64*q^650+1618941264*p^62*q^652+13113357604*p^60*q^654+ 22143502769*p^58*q^656+5322880968*p^56*q^658+423453661*p^54*q^660+22551254*p^52 *q^662+1044506*p^50*q^664+46330*p^48*q^666+356*p^46*q^668+1934*p^71*q^642+14112 *p^69*q^644+976214*p^67*q^646+21063844*p^65*q^648+386565877*p^63*q^650+ 4985977746*p^61*q^652+21405259999*p^59*q^654+13994199692*p^57*q^656+1747945254* p^55*q^658+110419116*p^53*q^660+5469934*p^51*q^662+281056*p^49*q^664+5756*p^47* q^666+32*p^72*q^640+3736*p^70*q^642+129350*p^68*q^644+3928214*p^66*q^646+ 86337245*p^64*q^648+1382529916*p^62*q^650+12121271488*p^60*q^652+22435031516*p^ 58*q^654+6067466156*p^56*q^656+495061996*p^54*q^658+26518514*p^52*q^660+1267082 *p^50*q^662+56594*p^48*q^664+392*p^46*q^666+928*p^71*q^640+7534*p^69*q^642+ 793512*p^67*q^644+17660219*p^65*q^646+330586348*p^63*q^648+4349121019*p^61*q^ 650+20855326802*p^59*q^652+14916309454*p^57*q^654+2038690328*p^55*q^656+ 128538467*p^53*q^658+6473742*p^51*q^660+316708*p^49*q^662+7658*p^47*q^664+28*p^ 45*q^666+7284*p^70*q^640+99736*p^68*q^642+3400058*p^66*q^644+72450412*p^64*q^ 646+1201116426*p^62*q^648+10924569190*p^60*q^650+23081023122*p^58*q^652+ 6760987392*p^56*q^654+583624493*p^54*q^656+32232996*p^52*q^658+1544286*p^50*q^ 660+68354*p^48*q^662+976*p^46*q^664+624*p^71*q^638+9014*p^69*q^640+625766*p^67* q^642+14709798*p^65*q^644+279750960*p^63*q^646+3828620412*p^61*q^648+ 19677219611*p^59*q^650+16218906652*p^57*q^652+2335454557*p^55*q^654+153537546*p ^53*q^656+7582664*p^51*q^658+370482*p^49*q^660+14052*p^47*q^662+8*p^45*q^664+8* p^72*q^636+5164*p^70*q^638+60358*p^68*q^640+2869976*p^66*q^642+61113585*p^64*q^ 644+1017269840*p^62*q^646+10017027926*p^60*q^648+23088894632*p^58*q^650+ 7645405647*p^56*q^652+678366444*p^54*q^654+38334960*p^52*q^656+1795872*p^50*q^ 658+91748*p^48*q^660+726*p^46*q^662+48*p^71*q^636+18404*p^69*q^638+496278*p^67* q^640+12369061*p^65*q^642+239138428*p^63*q^644+3332069324*p^61*q^646+ 18864528498*p^59*q^648+17109787784*p^57*q^650+2700011544*p^55*q^652+180423260*p ^53*q^654+8977378*p^51*q^656+442592*p^49*q^658+13526*p^47*q^660+128*p^45*q^662+ 4718*p^70*q^636+43074*p^68*q^638+2466636*p^66*q^640+51374108*p^64*q^642+ 879968943*p^62*q^644+8898030534*p^60*q^646+23464298027*p^58*q^648+8439001898*p^ 56*q^650+804192791*p^54*q^652+45316578*p^52*q^654+2200058*p^50*q^656+114984*p^ 48*q^658+2322*p^46*q^660+152*p^71*q^634+18004*p^69*q^636+370062*p^67*q^638+ 10176258*p^65*q^640+201934443*p^63*q^642+2915848714*p^61*q^644+17603918959*p^59 *q^646+18338129348*p^57*q^648+3082099015*p^55*q^650+212601832*p^53*q^652+ 10958080*p^51*q^654+493618*p^49*q^656+20496*p^47*q^658+26*p^45*q^660+1552*p^70* q^634+51370*p^68*q^636+2022160*p^66*q^638+43601632*p^64*q^640+746845576*p^62*q^ 642+8077406813*p^60*q^644+23051301370*p^58*q^646+9475835470*p^56*q^648+ 927473786*p^54*q^650+53959676*p^52*q^652+2470848*p^50*q^654+146450*p^48*q^656+ 2772*p^46*q^658+8*p^44*q^660+28*p^71*q^632+20150*p^69*q^634+256696*p^67*q^636+ 8616648*p^65*q^638+171740642*p^63*q^640+2518001206*p^61*q^642+16678473828*p^59* q^644+19115520156*p^57*q^646+3549188220*p^55*q^648+250926360*p^53*q^650+ 13126904*p^51*q^652+615242*p^49*q^654+26946*p^47*q^656+216*p^45*q^658+1270*p^70 *q^632+51046*p^68*q^634+1673766*p^66*q^636+36633596*p^64*q^638+643196321*p^62*q ^640+7139092014*p^60*q^642+23090942142*p^58*q^644+10331139854*p^56*q^646+ 1091504364*p^54*q^648+63534606*p^52*q^650+3004825*p^50*q^652+148124*p^48*q^654+ 3086*p^46*q^656+4*p^71*q^630+13274*p^69*q^632+211200*p^67*q^634+7378506*p^65*q^ 636+143948247*p^63*q^638+2198580618*p^61*q^640+15329798015*p^59*q^642+ 20257423644*p^57*q^644+4024189400*p^55*q^646+297934688*p^53*q^648+15695509*p^51 *q^650+682818*p^49*q^652+48642*p^47*q^654+480*p^45*q^656+614*p^70*q^630+57838*p ^68*q^632+1291058*p^66*q^634+30233219*p^64*q^636+545056876*p^62*q^638+ 6401513349*p^60*q^640+22415888904*p^58*q^642+11477294190*p^56*q^644+1259183444* p^54*q^646+75287783*p^52*q^648+3581686*p^50*q^650+192114*p^48*q^652+3772*p^46*q ^654+12*p^44*q^656+7932*p^69*q^630+184594*p^67*q^632+6194376*p^65*q^634+ 124220256*p^63*q^636+1885920390*p^61*q^638+14377784356*p^59*q^640+20775531167*p ^57*q^642+4608529374*p^55*q^644+347578277*p^53*q^646+18538304*p^51*q^648+794050 *p^49*q^650+46116*p^47*q^652+286*p^45*q^654+162*p^70*q^628+57308*p^68*q^630+ 1004870*p^66*q^632+25789972*p^64*q^634+466493327*p^62*q^636+5621816436*p^60*q^ 638+22094855487*p^58*q^640+12402177466*p^56*q^642+1475851806*p^54*q^644+ 89629798*p^52*q^646+4543364*p^50*q^648+196824*p^48*q^650+11496*p^46*q^652+40*p^ 44*q^654+16*p^71*q^626+6376*p^69*q^628+163128*p^67*q^630+5168310*p^65*q^632+ 103725615*p^63*q^634+1636550744*p^61*q^636+13059061816*p^59*q^638+21739192680*p ^57*q^640+5182114107*p^55*q^642+410698370*p^53*q^644+22071638*p^51*q^646+919302 *p^49*q^648+67332*p^47*q^650+280*p^45*q^652+72*p^70*q^626+39762*p^68*q^628+ 804050*p^66*q^630+21529308*p^64*q^632+394210146*p^62*q^634+5008177194*p^60*q^ 636+21180757760*p^58*q^638+13629826935*p^56*q^640+1690439944*p^54*q^642+ 106365718*p^52*q^644+5283062*p^50*q^646+204538*p^48*q^648+13028*p^46*q^650+12*p ^44*q^652+4*p^73*q^622+2364*p^69*q^626+173210*p^67*q^628+4274664*p^65*q^630+ 88381568*p^63*q^632+1405750043*p^61*q^634+12074768724*p^59*q^636+21994818916*p^ 57*q^638+5893988946*p^55*q^640+481376785*p^53*q^642+25872174*p^51*q^644+1193940 *p^49*q^646+76820*p^47*q^648+1448*p^45*q^650+200*p^70*q^624+37156*p^68*q^626+ 647200*p^66*q^628+18234424*p^64*q^630+338508391*p^62*q^632+4357582752*p^60*q^ 634+20583467693*p^58*q^636+14562671098*p^56*q^638+1977988737*p^54*q^640+ 124971444*p^52*q^642+6456228*p^50*q^644+230612*p^48*q^646+18132*p^46*q^648+4*p^ 44*q^650+1388*p^69*q^624+146950*p^67*q^626+3420792*p^65*q^628+73839872*p^63*q^ 630+1212300468*p^61*q^632+10876501651*p^59*q^634+22655286910*p^57*q^636+ 6574872261*p^55*q^638+567337452*p^53*q^640+31101748*p^51*q^642+1484806*p^49*q^ 644+62382*p^47*q^646+3116*p^45*q^648+48*p^72*q^620+56*p^70*q^622+20038*p^68*q^ 624+560586*p^66*q^626+15413770*p^64*q^628+286512368*p^62*q^630+3853635021*p^60* q^632+19436047324*p^58*q^634+15805287777*p^56*q^636+2258974412*p^54*q^638+ 148310746*p^52*q^640+7453916*p^50*q^642+266716*p^48*q^644+32412*p^46*q^646+68*p ^44*q^648+1162*p^69*q^622+145720*p^67*q^624+2760724*p^65*q^626+62555288*p^63*q^ 628+1031872263*p^61*q^630+9975202074*p^59*q^632+22612810886*p^57*q^634+ 7419606682*p^55*q^636+658055800*p^53*q^638+37143564*p^51*q^640+1790444*p^49*q^ 642+61356*p^47*q^644+2636*p^45*q^646+8*p^72*q^618+13782*p^68*q^622+481934*p^66* q^624+13079548*p^64*q^626+244832087*p^62*q^628+3347213766*p^60*q^630+ 18638128374*p^58*q^632+16669997402*p^56*q^634+2620364476*p^54*q^636+175769662*p ^52*q^638+8841255*p^50*q^640+370210*p^48*q^642+27396*p^46*q^644+508*p^44*q^646+ 224*p^71*q^618+1072*p^69*q^620+107468*p^67*q^622+2275234*p^65*q^624+52284522*p^ 63*q^626+890979940*p^61*q^628+8857228966*p^59*q^630+23026213142*p^57*q^632+ 8192503027*p^55*q^634+777925840*p^53*q^636+43856620*p^51*q^638+2239396*p^49*q^ 640+55568*p^47*q^642+9492*p^45*q^644+20*p^70*q^618+7746*p^68*q^620+461374*p^66* q^622+10653522*p^64*q^624+206443512*p^62*q^626+2932181754*p^60*q^628+ 17401577300*p^58*q^630+17886402613*p^56*q^632+2983551244*p^54*q^634+206573560*p ^52*q^636+10463780*p^50*q^638+453436*p^48*q^640+24876*p^46*q^642+132*p^44*q^644 +168*p^71*q^616+152*p^69*q^618+80960*p^67*q^620+1795650*p^65*q^622+44947416*p^ 63*q^624+758497388*p^61*q^626+8046566192*p^59*q^628+22585125973*p^57*q^630+ 9189259696*p^55*q^632+896106331*p^53*q^634+52242740*p^51*q^636+2576488*p^49*q^ 638+73888*p^47*q^640+10936*p^45*q^642+36*p^43*q^644+524*p^70*q^616+7772*p^68*q^ 618+413540*p^66*q^620+8989842*p^64*q^622+176042844*p^62*q^624+2532132088*p^60*q ^626+16457195450*p^58*q^628+18619262860*p^56*q^630+3439360173*p^54*q^632+ 244531596*p^52*q^634+12643476*p^50*q^636+608858*p^48*q^638+13950*p^46*q^640+ 1516*p^44*q^642+12*p^71*q^614+292*p^69*q^616+57278*p^67*q^618+1548248*p^65*q^ 620+37616477*p^63*q^622+650862144*p^61*q^624+7106438193*p^59*q^626+22621018384* p^57*q^628+10032180192*p^55*q^630+1058655336*p^53*q^632+61805510*p^51*q^634+ 3013062*p^49*q^636+96446*p^47*q^638+13228*p^45*q^640+1084*p^70*q^614+3204*p^68* q^616+330076*p^66*q^618+7197062*p^64*q^620+147261718*p^62*q^622+2212086622*p^60 *q^624+15171847680*p^58*q^626+19729727732*p^56*q^628+3888579830*p^54*q^630+ 286972417*p^52*q^632+15017258*p^50*q^634+745238*p^48*q^636+12272*p^46*q^638+ 2908*p^44*q^640+8*p^71*q^612+792*p^69*q^614+40254*p^67*q^616+1413930*p^65*q^618 +31916542*p^63*q^620+555585167*p^61*q^622+6390065818*p^59*q^624+21966511341*p^ 57*q^626+11105640796*p^55*q^628+1216687943*p^53*q^630+73724112*p^51*q^632+ 3453462*p^49*q^634+137036*p^47*q^636+7200*p^45*q^638+92*p^43*q^640+328*p^70*q^ 612+2484*p^68*q^614+289830*p^66*q^616+5890590*p^64*q^618+126372550*p^62*q^620+ 1893185678*p^60*q^622+14175383166*p^58*q^624+20242142402*p^56*q^626+4466828352* p^54*q^628+338585606*p^52*q^630+17954196*p^50*q^632+943764*p^48*q^634+15558*p^ 46*q^636+4706*p^44*q^638+3196*p^69*q^612+28655*p^67*q^614+1146582*p^65*q^616+ 26727292*p^63*q^618+473992898*p^61*q^620+5601203606*p^59*q^622+21682843616*p^57 *q^624+12038297897*p^55*q^626+1424153690*p^53*q^628+86598088*p^51*q^630+4225784 *p^49*q^632+178371*p^47*q^634+2150*p^45*q^636+488*p^43*q^638+176*p^70*q^610+ 2266*p^68*q^612+202250*p^66*q^614+5054352*p^64*q^616+106270400*p^62*q^618+ 1647602642*p^60*q^620+12907856664*p^58*q^622+21151247551*p^56*q^624+5005459102* p^54*q^626+397585987*p^52*q^628+21550752*p^50*q^630+1026168*p^48*q^632+24230*p^ 46*q^634+5092*p^44*q^636+2528*p^69*q^610+17834*p^67*q^612+1050559*p^65*q^614+ 21992342*p^63*q^616+402776276*p^61*q^618+4997458608*p^59*q^620+20729477714*p^57 *q^622+13206074762*p^55*q^624+1634196805*p^53*q^626+103444548*p^51*q^628+ 4884271*p^49*q^630+257684*p^47*q^632+1956*p^45*q^634+788*p^43*q^636+28*p^70*q^ 608+5556*p^68*q^610+162717*p^66*q^612+4186944*p^64*q^614+91039955*p^62*q^616+ 1412543040*p^60*q^618+11927832748*p^58*q^620+21391218734*p^56*q^622+5695685470* p^54*q^624+465632448*p^52*q^626+25524010*p^50*q^628+1219998*p^48*q^630+34578*p^ 46*q^632+860*p^44*q^634+40*p^42*q^636+1604*p^69*q^608+14592*p^67*q^610+865630*p ^65*q^612+18390776*p^63*q^614+343661962*p^61*q^616+4345834782*p^59*q^618+ 20181791866*p^57*q^620+14108337404*p^55*q^622+1913112190*p^53*q^624+121363822*p ^51*q^626+6063882*p^49*q^628+325608*p^47*q^630+2752*p^45*q^632+2334*p^43*q^634+ 8728*p^68*q^608+109392*p^66*q^610+3535638*p^64*q^612+75799250*p^62*q^614+ 1222684484*p^60*q^616+10748376360*p^58*q^618+22069428820*p^56*q^620+6343219384* p^54*q^622+546875833*p^52*q^624+30289748*p^50*q^626+1337789*p^48*q^628+48812*p^ 46*q^630+216*p^44*q^632+40*p^42*q^634+704*p^69*q^606+12112*p^67*q^608+709388*p^ 65*q^610+15497338*p^63*q^612+292353413*p^61*q^614+3846805680*p^59*q^616+ 19055223575*p^57*q^618+15296107770*p^55*q^620+2180297684*p^53*q^622+143680940*p ^51*q^624+7235642*p^49*q^626+385358*p^47*q^628+5842*p^45*q^630+748*p^43*q^632+ 12*p^70*q^604+7884*p^68*q^606+88500*p^66*q^608+3068520*p^64*q^610+64528059*p^62 *q^612+1041436440*p^60*q^614+9848936554*p^58*q^616+21972552336*p^56*q^618+ 7172114466*p^54*q^620+637597758*p^52*q^622+36480160*p^50*q^624+1570750*p^48*q^ 626+81094*p^46*q^628+152*p^44*q^630+546*p^42*q^632+52*p^69*q^604+20268*p^67*q^ 606+542758*p^65*q^608+12887478*p^63*q^610+248256538*p^61*q^612+3331156731*p^59* q^614+18247285390*p^57*q^616+16159580986*p^55*q^618+2528678050*p^53*q^620+ 170380063*p^51*q^622+8672970*p^49*q^624+443122*p^47*q^626+6424*p^45*q^628+16*p^ 43*q^630+5936*p^68*q^604+57636*p^66*q^606+2620193*p^64*q^608+53593110*p^62*q^ 610+900700858*p^60*q^612+8777372904*p^58*q^614+22401264030*p^56*q^616+ 7895313812*p^54*q^618+749988549*p^52*q^620+42249842*p^50*q^622+1903658*p^48*q^ 624+106118*p^46*q^626+692*p^44*q^628+460*p^42*q^630+216*p^69*q^602+22412*p^67*q ^604+436162*p^65*q^606+10773982*p^63*q^608+211494950*p^61*q^610+2930956230*p^59 *q^612+17045244851*p^57*q^614+17271042964*p^55*q^616+2875707033*p^53*q^618+ 200264988*p^51*q^620+10604956*p^49*q^622+450112*p^47*q^624+12972*p^45*q^626+4*p ^43*q^628+50*p^41*q^630+1700*p^68*q^602+61076*p^66*q^604+2189632*p^64*q^606+ 45793916*p^62*q^608+766219752*p^60*q^610+7944358526*p^58*q^612+21980184478*p^56 *q^614+8869594863*p^54*q^616+867641232*p^52*q^618+50812057*p^50*q^620+2324120*p ^48*q^622+151920*p^46*q^624+888*p^44*q^626+24*p^69*q^600+25812*p^67*q^602+ 315860*p^65*q^604+9052769*p^63*q^606+178789176*p^61*q^608+2523199722*p^59*q^610 +16130266794*p^57*q^612+18023522346*p^55*q^614+3313320134*p^53*q^616+236354891* p^51*q^618+12566850*p^49*q^620+494034*p^47*q^622+19664*p^45*q^624+36*p^43*q^626 +158*p^41*q^628+1736*p^68*q^600+56724*p^66*q^602+1781814*p^64*q^604+38339802*p^ 62*q^606+658393662*p^60*q^608+7036322634*p^58*q^610+22003437257*p^56*q^612+ 9675926434*p^54*q^614+1019295927*p^52*q^616+59444002*p^50*q^618+2850642*p^48*q^ 620+163212*p^46*q^622+1044*p^44*q^624+8*p^69*q^598+14400*p^67*q^600+258316*p^65 *q^602+7804710*p^63*q^604+150635325*p^61*q^606+2214926872*p^59*q^608+ 14851019353*p^57*q^610+19061206670*p^55*q^612+3740822456*p^53*q^614+278663274*p ^51*q^616+14899804*p^49*q^618+555524*p^47*q^620+37818*p^45*q^622+108*p^43*q^624 +744*p^68*q^598+70608*p^66*q^600+1465790*p^64*q^602+32006573*p^62*q^604+ 561756850*p^60*q^606+6310801303*p^58*q^608+21336508392*p^56*q^610+10707227620*p ^54*q^612+1176407068*p^52*q^614+71475679*p^50*q^616+3529688*p^48*q^618+176114*p ^46*q^620+2116*p^44*q^622+28*p^40*q^626+12*p^69*q^596+10080*p^67*q^598+220136*p ^65*q^600+6501054*p^63*q^602+128979406*p^61*q^604+1892734926*p^59*q^606+ 13907099086*p^57*q^608+19558973278*p^55*q^610+4301258416*p^53*q^612+327114590*p ^51*q^614+17493766*p^49*q^616+697444*p^47*q^618+50272*p^45*q^620+24*p^43*q^622+ 2*p^72*q^592+172*p^68*q^596+61060*p^66*q^598+1113510*p^64*q^600+26868800*p^62*q ^602+479053899*p^60*q^604+5542644482*p^58*q^606+21090276612*p^56*q^608+ 11585900438*p^54*q^610+1369555259*p^52*q^612+83673504*p^50*q^614+4399164*p^48*q ^616+148626*p^46*q^618+5974*p^44*q^620+4*p^42*q^622+12*p^69*q^594+7612*p^67*q^ 596+190982*p^65*q^598+5553498*p^63*q^600+108697056*p^61*q^602+1652294298*p^59*q ^604+12654557700*p^57*q^606+20444253452*p^55*q^608+4807821792*p^53*q^610+ 384775898*p^51*q^612+20611327*p^49*q^614+834882*p^47*q^616+68306*p^45*q^618+112 *p^43*q^620+2*p^39*q^624+148*p^68*q^594+46190*p^66*q^596+961272*p^64*q^598+ 22904710*p^62*q^600+407403626*p^60*q^602+4942353855*p^58*q^604+20130862094*p^56 *q^606+12713828770*p^54*q^608+1575987616*p^52*q^610+100828278*p^50*q^612+ 5254026*p^48*q^614+164510*p^46*q^616+10044*p^44*q^618+28*p^71*q^590+12*p^69*q^ 592+2624*p^67*q^594+193246*p^65*q^596+4475395*p^63*q^598+91816524*p^61*q^600+ 1412307770*p^59*q^602+11677130562*p^57*q^604+20679850712*p^55*q^606+5486598666* p^53*q^608+450487164*p^51*q^610+24255118*p^49*q^612+1141826*p^47*q^614+69112*p^ 45*q^616+504*p^43*q^618+212*p^68*q^592+41452*p^66*q^594+737616*p^64*q^596+ 19075822*p^62*q^598+348086864*p^60*q^600+4306127356*p^58*q^602+19625785067*p^56 *q^604+13566565616*p^54*q^606+1834501723*p^52*q^608+117478320*p^50*q^610+ 6130208*p^48*q^612+171440*p^46*q^614+16430*p^44*q^616+4*p^42*q^618+1714*p^67*q^ 592+159330*p^65*q^594+3781006*p^63*q^596+77697719*p^61*q^598+1229040402*p^59*q^ 600+10548377787*p^57*q^602+21268047732*p^55*q^604+6090344123*p^53*q^606+ 527984852*p^51*q^608+29029122*p^49*q^610+1465800*p^47*q^612+50080*p^45*q^614+ 1408*p^43*q^616+158*p^70*q^588+180*p^68*q^590+22790*p^66*q^592+670132*p^64*q^ 594+16200763*p^62*q^596+295453138*p^60*q^598+3805319302*p^58*q^600+18503187468* p^56*q^602+14714836901*p^54*q^604+2099083042*p^52*q^606+140909291*p^50*q^608+ 7121392*p^48*q^610+227414*p^46*q^612+29212*p^44*q^614+16*p^42*q^616+8*p^69*q^ 588+1548*p^67*q^590+155616*p^65*q^592+3023958*p^63*q^594+65474270*p^61*q^596+ 1042860116*p^59*q^598+9651721760*p^57*q^600+21250639497*p^55*q^602+6883660840*p ^53*q^604+614322980*p^51*q^606+34755654*p^49*q^608+1842386*p^47*q^610+41628*p^ 45*q^612+1736*p^43*q^614+48*p^70*q^586+24*p^68*q^588+15728*p^66*q^590+535476*p^ 64*q^592+13715810*p^62*q^594+251718110*p^60*q^596+3305580874*p^58*q^598+ 17748168900*p^56*q^600+15526480542*p^54*q^602+2426368846*p^52*q^604+164943000*p ^50*q^606+8196884*p^48*q^608+324296*p^46*q^610+24450*p^44*q^612+124*p^42*q^614+ 460*p^69*q^586+1550*p^67*q^588+115866*p^65*q^590+2571766*p^63*q^592+54750806*p^ 61*q^594+903024668*p^59*q^596+8605564696*p^57*q^598+21597066406*p^55*q^600+ 7581597043*p^53*q^602+722105790*p^51*q^604+41288852*p^49*q^606+2189912*p^47*q^ 608+34780*p^45*q^610+6860*p^43*q^612+120*p^68*q^586+9302*p^66*q^588+505370*p^64 *q^590+11342368*p^62*q^592+215076556*p^60*q^594+2908155387*p^58*q^596+ 16540856100*p^56*q^598+16594946287*p^54*q^600+2761164878*p^52*q^602+194586137*p ^50*q^604+9716896*p^48*q^606+467904*p^46*q^608+17556*p^44*q^610+40*p^42*q^612+ 520*p^69*q^584+586*p^67*q^586+91696*p^65*q^588+2080588*p^63*q^590+46960116*p^61 *q^592+765864776*p^59*q^594+7786682692*p^57*q^596+21204726285*p^55*q^598+ 8511293256*p^53*q^600+836136787*p^51*q^602+50017260*p^49*q^604+2552416*p^47*q^ 606+54244*p^45*q^608+9436*p^43*q^610+4*p^41*q^612+750*p^68*q^584+9408*p^66*q^ 586+422680*p^64*q^588+9388232*p^62*q^590+181123884*p^60*q^592+2508731420*p^58*q ^594+15699631421*p^56*q^596+17295761898*p^54*q^598+3175336809*p^52*q^600+ 227858966*p^50*q^602+11460224*p^48*q^604+602234*p^46*q^606+7384*p^44*q^608+752* p^42*q^610+40*p^69*q^582+824*p^67*q^584+60090*p^65*q^586+1763138*p^63*q^588+ 39527662*p^61*q^590+663440350*p^59*q^592+6902124275*p^57*q^594+21217465366*p^55 *q^596+9258721412*p^53*q^598+979075872*p^51*q^600+58387578*p^49*q^602+2863760*p ^47*q^604+84502*p^45*q^606+8968*p^43*q^608+2188*p^68*q^582+5916*p^66*q^584+ 367988*p^64*q^586+8017753*p^62*q^588+153220216*p^60*q^590+2193828882*p^58*q^592 +14426813532*p^56*q^594+18306189758*p^54*q^596+3590970512*p^52*q^598+270179077* p^50*q^600+14134822*p^48*q^602+779794*p^46*q^604+7034*p^44*q^606+1996*p^42*q^ 608+42*p^69*q^580+1086*p^67*q^582+45920*p^65*q^584+1504398*p^63*q^586+32891180* p^61*q^588+562702748*p^59*q^590+6194116470*p^57*q^592+20576325578*p^55*q^594+ 10268128380*p^53*q^596+1130126694*p^51*q^598+70151696*p^49*q^600+3153564*p^47*q ^602+130728*p^45*q^604+4700*p^43*q^606+20*p^41*q^608+760*p^68*q^580+4508*p^66*q ^582+301444*p^64*q^584+6506040*p^62*q^586+131024336*p^60*q^588+1880922494*p^58* q^590+13511228624*p^56*q^592+18776144204*p^54*q^594+4115715176*p^52*q^596+ 314582816*p^50*q^598+16710817*p^48*q^600+960316*p^46*q^602+10362*p^44*q^604+ 2836*p^42*q^606+4626*p^67*q^580+37950*p^65*q^582+1244834*p^63*q^584+28092518*p^ 61*q^586+483705092*p^59*q^588+5450197517*p^57*q^590+20318856194*p^55*q^592+ 11069913468*p^53*q^594+1314420076*p^51*q^596+81890051*p^49*q^598+3805862*p^47*q ^600+175448*p^45*q^602+1066*p^43*q^604+232*p^41*q^606+522*p^68*q^578+4604*p^66* q^580+215164*p^64*q^582+5611316*p^62*q^584+110193236*p^60*q^586+1639728064*p^58 *q^588+12284540424*p^56*q^590+19576753728*p^54*q^592+4614864634*p^52*q^594+ 372112087*p^50*q^596+20632194*p^48*q^598+1003718*p^46*q^600+20410*p^44*q^602+ 3018*p^42*q^604+4420*p^67*q^578+25460*p^65*q^580+1135188*p^63*q^582+23318146*p^ 61*q^584+409769157*p^59*q^586+4850416698*p^57*q^588+19437422133*p^55*q^590+ 12170862270*p^53*q^592+1509164081*p^51*q^594+97583222*p^49*q^596+4395052*p^47*q ^598+281792*p^45*q^600+968*p^43*q^602+392*p^41*q^604+85*p^68*q^576+6574*p^66*q^ 578+182312*p^64*q^580+4505134*p^62*q^582+93672071*p^60*q^584+1405191472*p^58*q^ 586+11364351325*p^56*q^588+19824379334*p^54*q^590+5238343268*p^52*q^592+ 433619586*p^50*q^594+24326495*p^48*q^596+1146382*p^46*q^598+27356*p^44*q^600+ 684*p^42*q^602+12*p^40*q^604+3122*p^67*q^576+24494*p^65*q^578+893324*p^63*q^580 +19842394*p^61*q^582+351652440*p^59*q^584+4234012941*p^57*q^586+18899727612*p^ 55*q^588+12969903981*p^53*q^590+1758326686*p^51*q^592+113662001*p^49*q^594+ 5483398*p^47*q^596+326056*p^45*q^598+1918*p^43*q^600+1064*p^41*q^602+12204*p^66 *q^576+133704*p^64*q^578+3920902*p^62*q^580+78753164*p^60*q^582+1221281560*p^58 *q^584+10242636570*p^56*q^586+20378810027*p^54*q^588+5825976530*p^52*q^590+ 509779521*p^50*q^592+29112332*p^48*q^594+1189676*p^46*q^596+55342*p^44*q^598+58 *p^42*q^600+16*p^40*q^602+1501*p^67*q^574+18124*p^65*q^576+755932*p^63*q^578+ 16513114*p^61*q^580+297938686*p^59*q^582+3738534340*p^57*q^584+17821350964*p^55 *q^586+14058218092*p^53*q^588+2012364053*p^51*q^590+135788306*p^49*q^592+ 6833335*p^47*q^594+400378*p^45*q^596+3602*p^43*q^598+520*p^41*q^600+32*p^68*q^ 572+11480*p^66*q^574+112798*p^64*q^576+3233012*p^62*q^578+66973943*p^60*q^580+ 1038319030*p^58*q^582+9396232936*p^56*q^584+20352755074*p^54*q^586+6573269154*p ^52*q^588+588906494*p^50*q^590+34424468*p^48*q^592+1318858*p^46*q^594+79718*p^ 44*q^596+76*p^42*q^598+168*p^40*q^600+116*p^67*q^572+24986*p^65*q^574+593512*p^ 63*q^576+13958655*p^61*q^578+253778986*p^59*q^580+3256107759*p^57*q^582+ 17112290022*p^55*q^584+14793276478*p^53*q^586+2320252724*p^51*q^588+159617930*p ^49*q^590+8238220*p^47*q^592+414476*p^45*q^594+6180*p^43*q^596+9894*p^66*q^572+ 89074*p^64*q^574+2816882*p^62*q^576+56387222*p^60*q^578+903087445*p^58*q^580+ 8355200824*p^56*q^582+20670237227*p^54*q^584+7238793848*p^52*q^586+694611532*p^ 50*q^588+40332176*p^48*q^590+1718787*p^46*q^592+117014*p^44*q^594+378*p^42*q^ 596+224*p^40*q^598+452*p^67*q^570+28340*p^65*q^572+482764*p^63*q^574+11536832*p ^61*q^576+215221554*p^59*q^578+2851195294*p^57*q^580+15948134021*p^55*q^582+ 15864355948*p^53*q^584+2642943985*p^51*q^586+188593666*p^49*q^588+10149608*p^47 *q^590+384596*p^45*q^592+12928*p^43*q^594+8*p^39*q^598+8*p^68*q^568+2504*p^66*q ^570+78818*p^64*q^572+2295734*p^62*q^574+47807014*p^60*q^576+765525866*p^58*q^ 578+7590943081*p^56*q^580+20297242474*p^54*q^582+8106717827*p^52*q^584+ 799279530*p^50*q^586+47725103*p^48*q^588+2052954*p^46*q^590+150900*p^44*q^592+ 452*p^42*q^594+64*p^67*q^568+34657*p^65*q^570+392144*p^63*q^572+9778782*p^61*q^ 574+184373520*p^59*q^576+2473924449*p^57*q^578+15099256354*p^55*q^580+ 16475907791*p^53*q^582+3035127460*p^51*q^584+220920203*p^49*q^586+12030134*p^47 *q^588+427462*p^45*q^590+21824*p^43*q^592+12*p^41*q^594+48*p^39*q^596+4*p^68*q^ 566+2880*p^66*q^568+74094*p^64*q^570+1903976*p^62*q^572+40318116*p^60*q^574+ 660011622*p^58*q^576+6709040942*p^56*q^578+20290676090*p^54*q^580+8828332632*p^ 52*q^582+939987715*p^50*q^584+56630548*p^48*q^586+2713452*p^46*q^588+144614*p^ 44*q^590+1280*p^42*q^592+88*p^67*q^566+18990*p^65*q^568+325352*p^63*q^570+ 8290538*p^61*q^572+154368987*p^59*q^574+2162332276*p^57*q^576+13911147006*p^55* q^578+17432924720*p^53*q^580+3430432006*p^51*q^582+260812588*p^49*q^584+ 14129904*p^47*q^586+445884*p^45*q^588+42098*p^43*q^590+52*p^41*q^592+8*p^68*q^ 564+1336*p^66*q^566+82199*p^64*q^568+1574934*p^62*q^570+33662984*p^60*q^572+ 562886562*p^58*q^574+6030429099*p^56*q^576+19700337338*p^54*q^578+9766541530*p^ 52*q^580+1080759420*p^50*q^582+67168055*p^48*q^584+3331192*p^46*q^586+153738*p^ 44*q^588+2098*p^42*q^590+4*p^38*q^594+64*p^67*q^564+13042*p^65*q^566+288826*p^ 63*q^568+6897197*p^61*q^570+132671852*p^59*q^572+1856580958*p^57*q^574+ 13022352826*p^55*q^576+17876533860*p^53*q^578+3922292682*p^51*q^580+303088456*p ^49*q^582+16611460*p^47*q^584+621384*p^45*q^586+42956*p^43*q^588+64*p^41*q^590+ 616*p^66*q^564+77182*p^64*q^566+1262478*p^62*q^568+28797306*p^60*q^570+ 483210360*p^58*q^572+5301257314*p^56*q^574+19409946505*p^54*q^576+10539648852*p ^52*q^578+1260153225*p^50*q^580+79998396*p^48*q^582+4166692*p^46*q^584+117884*p ^44*q^586+8064*p^42*q^588+4*p^40*q^590+148*p^67*q^562+10768*p^65*q^564+234025*p ^63*q^566+5863028*p^61*q^568+111414042*p^59*q^570+1615725618*p^57*q^572+ 11831854629*p^55*q^574+18648692632*p^53*q^576+4399301078*p^51*q^578+358289128*p ^49*q^580+19538119*p^47*q^582+778086*p^45*q^584+60972*p^43*q^586+80*p^41*q^588+ 648*p^66*q^562+52000*p^64*q^564+1118640*p^62*q^566+23820041*p^60*q^568+ 409708282*p^58*q^570+4729106474*p^56*q^572+18580431188*p^54*q^574+11563857089*p ^52*q^576+1442706788*p^50*q^578+94832323*p^48*q^580+4912784*p^46*q^582+124646*p ^44*q^584+8632*p^42*q^586+8*p^67*q^560+4400*p^65*q^562+230550*p^63*q^564+ 4746982*p^61*q^566+95650782*p^59*q^568+1390369421*p^57*q^570+10957294848*p^55*q ^572+18832628941*p^53*q^574+4978000286*p^51*q^576+415628258*p^49*q^578+22963766 *p^47*q^580+1043752*p^45*q^582+52960*p^43*q^584+844*p^41*q^586+1124*p^66*q^560+ 48982*p^64*q^562+930645*p^62*q^564+20397060*p^60*q^566+351544827*p^58*q^568+ 4123811158*p^56*q^570+18057994641*p^54*q^572+12309480792*p^52*q^574+1686322587* p^50*q^576+111414342*p^48*q^578+5885103*p^46*q^580+162576*p^44*q^582+15324*p^42 *q^584+4626*p^65*q^560+187750*p^63*q^562+4007334*p^61*q^564+79643590*p^59*q^566 +1204474016*p^57*q^568+9862407860*p^55*q^570+19400586060*p^53*q^572+5547946504* p^51*q^574+487836348*p^49*q^576+27723173*p^47*q^578+1374070*p^45*q^580+35912*p^ 43*q^582+1546*p^41*q^584+368*p^66*q^558+27998*p^64*q^560+773414*p^62*q^562+ 16986928*p^60*q^564+298358542*p^58*q^566+3650108546*p^56*q^568+17054469238*p^54 *q^570+13342688143*p^52*q^572+1914048548*p^50*q^574+132051014*p^48*q^576+ 6583970*p^46*q^578+191426*p^44*q^580+21252*p^42*q^582+32*p^40*q^584+8*p^67*q^ 556+5030*p^65*q^558+168936*p^63*q^560+3426385*p^61*q^562+68314542*p^59*q^564+ 1029136299*p^57*q^566+9056690182*p^55*q^568+19308579246*p^53*q^570+6243189058*p ^51*q^572+566182834*p^49*q^574+33197010*p^47*q^576+1705417*p^45*q^578+36528*p^ 43*q^580+1784*p^41*q^582+24*p^66*q^556+25522*p^64*q^558+660864*p^62*q^560+ 14293880*p^60*q^562+254957079*p^58*q^564+3171345288*p^56*q^566+16317010941*p^54 *q^568+14039835848*p^52*q^570+2216188628*p^50*q^572+154869668*p^48*q^574+ 7801812*p^46*q^576+315366*p^44*q^578+16436*p^42*q^580+230*p^40*q^582+4180*p^65* q^556+127437*p^63*q^558+2905752*p^61*q^560+57026016*p^59*q^562+891017334*p^57*q ^564+8061387087*p^55*q^566+19646586132*p^53*q^568+6871008085*p^51*q^570+ 665592870*p^49*q^572+39630146*p^47*q^574+2009414*p^45*q^576+26842*p^43*q^578+ 5342*p^41*q^580+128*p^66*q^554+19016*p^64*q^556+564626*p^62*q^558+11882158*p^60 *q^560+216702732*p^58*q^562+2788040169*p^56*q^564+15248421426*p^54*q^566+ 15002570908*p^52*q^568+2515297620*p^50*q^570+181433263*p^48*q^572+9138532*p^46* q^574+424834*p^44*q^576+14056*p^42*q^578+48*p^40*q^580+916*p^65*q^554+110132*p^ 63*q^556+2427735*p^61*q^558+48711462*p^59*q^560+759086778*p^57*q^562+7319981950 *p^55*q^564+19271388494*p^53*q^566+7686916424*p^51*q^568+765630922*p^49*q^570+ 47401098*p^47*q^572+2340550*p^45*q^574+51336*p^43*q^576+5216*p^41*q^578+16*p^39 *q^580+24*p^66*q^552+22212*p^64*q^554+468522*p^62*q^556+10119368*p^60*q^558+ 184919966*p^58*q^560+2413697426*p^56*q^562+14412799398*p^54*q^564+15606664662*p ^52*q^566+2886647166*p^50*q^568+212618976*p^48*q^570+11095606*p^46*q^572+545898 *p^44*q^574+4986*p^42*q^576+744*p^40*q^578+1080*p^65*q^552+83637*p^63*q^554+ 2027532*p^61*q^556+40861300*p^59*q^558+653828742*p^57*q^560+6467876275*p^55*q^ 562+19261944544*p^53*q^564+8372435226*p^51*q^566+900868772*p^49*q^568+56228755* p^47*q^570+2646888*p^45*q^572+85892*p^43*q^574+6730*p^41*q^576+32*p^66*q^550+ 11158*p^64*q^552+398544*p^62*q^554+8620604*p^60*q^556+155187864*p^58*q^558+ 2114528077*p^56*q^560+13287619838*p^54*q^562+16491971451*p^52*q^564+3259140494* p^50*q^566+249517157*p^48*q^568+13265674*p^46*q^570+670660*p^44*q^572+5236*p^42 *q^574+940*p^40*q^576+524*p^65*q^550+77340*p^63*q^552+1695855*p^61*q^554+ 34241344*p^59*q^556+560013096*p^57*q^558+5824404362*p^55*q^560+18669991253*p^53 *q^562+9235652924*p^51*q^564+1031328286*p^49*q^566+66468660*p^47*q^568+2948172* p^45*q^570+120754*p^43*q^572+2752*p^41*q^574+40*p^39*q^576+7328*p^64*q^550+ 353308*p^62*q^552+7292546*p^60*q^554+133985454*p^58*q^556+1815084874*p^56*q^558 +12430777642*p^54*q^560+16877001432*p^52*q^562+3727669624*p^50*q^564+292240706* p^48*q^566+16365477*p^46*q^568+860736*p^44*q^570+12846*p^42*q^572+1944*p^40*q^ 574+500*p^65*q^548+65234*p^63*q^550+1385158*p^61*q^552+28973571*p^59*q^554+ 477665702*p^57*q^556+5110721893*p^55*q^558+18416822044*p^53*q^560+9974151775*p^ 51*q^562+1204013788*p^49*q^564+77709178*p^47*q^566+3551786*p^45*q^568+151346*p^ 43*q^570+330*p^41*q^572+112*p^39*q^574+8*p^66*q^546+5208*p^64*q^548+263764*p^62 *q^550+6116734*p^60*q^552+112118022*p^58*q^554+1585057920*p^56*q^556+ 11318154172*p^54*q^558+17642070051*p^52*q^560+4165336880*p^50*q^562+342332068*p ^48*q^564+19758632*p^46*q^566+875682*p^44*q^568+20832*p^42*q^570+1626*p^40*q^ 572+80*p^65*q^546+43288*p^63*q^548+1262052*p^61*q^550+24775090*p^59*q^552+ 408566373*p^57*q^554+4569523774*p^55*q^556+17590765037*p^53*q^558+10899739830*p ^51*q^560+1374263373*p^49*q^562+91691778*p^47*q^564+4170239*p^45*q^566+233676*p ^43*q^568+1240*p^41*q^570+250*p^39*q^572+3988*p^64*q^546+249708*p^62*q^548+ 5029008*p^60*q^550+95611986*p^58*q^552+1359827410*p^56*q^554+10445905027*p^54*q ^556+17784603892*p^52*q^558+4736038810*p^50*q^560+401255612*p^48*q^562+23810080 *p^46*q^564+1023762*p^44*q^566+30044*p^42*q^568+116*p^40*q^570+8*p^38*q^572+112 *p^65*q^544+33596*p^63*q^546+1003630*p^61*q^548+20847612*p^59*q^550+349382788*p ^57*q^552+3982006764*p^55*q^554+17117233542*p^53*q^556+11620208261*p^51*q^558+ 1599661492*p^49*q^560+106453982*p^47*q^562+5242082*p^45*q^564+274300*p^43*q^566 +2212*p^41*q^568+568*p^39*q^570+2160*p^64*q^544+196888*p^62*q^546+4280870*p^60* q^548+80360892*p^58*q^550+1182110594*p^56*q^552+9435715634*p^54*q^554+ 18280687576*p^52*q^556+5244526304*p^50*q^558+468685130*p^48*q^560+28109428*p^46 *q^562+1080025*p^44*q^564+42780*p^42*q^566+56*p^40*q^568+8*p^38*q^570+2*p^67*q^ 540+48*p^65*q^542+23484*p^63*q^544+861504*p^61*q^546+17652302*p^59*q^548+ 297462911*p^57*q^550+3531713416*p^55*q^552+16152750209*p^53*q^554+12568336222*p ^51*q^556+1822374062*p^49*q^558+126488788*p^47*q^560+6547280*p^45*q^562+320058* p^43*q^564+5908*p^41*q^566+72*p^39*q^568+844*p^64*q^542+162056*p^62*q^544+ 3650188*p^60*q^546+68760468*p^58*q^548+1009292478*p^56*q^550+8639681859*p^54*q^ 552+18216179446*p^52*q^554+5899329215*p^50*q^556+542057694*p^48*q^558+33119224* p^46*q^560+1242938*p^44*q^562+66618*p^42*q^564+92*p^40*q^566+104*p^38*q^568+8*p ^67*q^538+21018*p^63*q^542+724794*p^61*q^544+14834349*p^59*q^546+253154656*p^57 *q^548+3065784782*p^55*q^550+15459603392*p^53*q^552+13236631436*p^51*q^554+ 2108358448*p^49*q^556+149521092*p^47*q^558+8194058*p^45*q^560+347028*p^43*q^562 +6300*p^41*q^564+20*p^66*q^538+892*p^64*q^540+114704*p^62*q^542+3051203*p^60*q^ 544+57625036*p^58*q^546+874530852*p^56*q^548+7704441638*p^54*q^550+18513430824* p^52*q^552+6485951594*p^50*q^554+633841290*p^48*q^556+38123342*p^46*q^558+ 1551390*p^44*q^560+86724*p^42*q^562+744*p^40*q^564+20*p^38*q^566+20*p^65*q^538+ 7644*p^63*q^540+628157*p^61*q^542+12510194*p^59*q^544+216327612*p^57*q^546+ 2704490496*p^55*q^548+14427770868*p^53*q^550+14109678028*p^51*q^552+2386646226* p^49*q^554+175424962*p^47*q^556+9904902*p^45*q^558+329958*p^43*q^560+10566*p^41 *q^562+8*p^37*q^566+104*p^66*q^536+204*p^64*q^538+113204*p^62*q^540+2563566*p^ 60*q^542+49639820*p^58*q^544+746073014*p^56*q^546+6986263436*p^54*q^548+ 18122252570*p^52*q^550+7247513241*p^50*q^552+731896232*p^48*q^554+45714605*p^46 *q^556+2023816*p^44*q^558+115070*p^42*q^560+1336*p^40*q^562+110*p^65*q^536+7518 *p^63*q^538+483124*p^61*q^540+10537637*p^59*q^542+183265336*p^57*q^544+ 2333699502*p^55*q^546+13655841472*p^53*q^548+14678953730*p^51*q^550+2744071390* p^49*q^552+205243002*p^47*q^554+11780062*p^45*q^556+373698*p^43*q^558+15396*p^ 41*q^560+28*p^39*q^562+2*p^37*q^564+8*p^66*q^534+300*p^64*q^536+66356*p^62*q^ 538+2180625*p^60*q^540+41501606*p^58*q^542+643839459*p^56*q^544+6192103874*p^54 *q^546+18143977899*p^52*q^548+7874175626*p^50*q^550+854579299*p^48*q^552+ 53452648*p^46*q^554+2572922*p^44*q^556+102724*p^42*q^558+906*p^40*q^560+568*p^ 65*q^534+3728*p^63*q^536+434732*p^61*q^538+8995828*p^59*q^540+155688040*p^57*q^ 542+2052366462*p^55*q^544+12571076664*p^53*q^546+15486642816*p^51*q^548+ 3081667389*p^49*q^550+241117942*p^47*q^552+13610238*p^45*q^554+427522*p^43*q^ 556+30974*p^41*q^558+248*p^39*q^560+8*p^66*q^532+616*p^64*q^534+46762*p^62*q^ 536+1833348*p^60*q^538+35271081*p^58*q^540+549474958*p^56*q^542+5562568236*p^54 *q^544+17550164256*p^52*q^546+8698445179*p^50*q^548+986049340*p^48*q^550+ 63992875*p^46*q^552+3331702*p^44*q^554+119570*p^42*q^556+1536*p^40*q^558+244*p^ 65*q^532+2786*p^63*q^534+363244*p^61*q^536+7471085*p^59*q^538+133162390*p^57*q^ 540+1758087186*p^55*q^542+11755278986*p^53*q^544+15857976557*p^51*q^546+ 3526422866*p^49*q^548+280091445*p^47*q^550+16105014*p^45*q^552+558922*p^43*q^ 554+28472*p^41*q^556+32*p^39*q^558+1760*p^64*q^532+32416*p^62*q^534+1483873*p^ 60*q^536+29881222*p^58*q^538+471501536*p^56*q^540+4898915948*p^54*q^542+ 17322917263*p^52*q^544+9363093258*p^50*q^546+1143869971*p^48*q^548+75190978*p^ 46*q^550+4042046*p^44*q^552+105348*p^42*q^554+5568*p^40*q^556+20*p^38*q^558+120 *p^65*q^530+3554*p^63*q^532+252328*p^61*q^534+6450018*p^59*q^536+112666672*p^57 *q^538+1538876970*p^55*q^540+10706487132*p^53*q^542+16501092164*p^51*q^544+ 3932212225*p^49*q^546+327606508*p^47*q^548+18856904*p^45*q^550+737290*p^43*q^ 552+36952*p^41*q^554+80*p^39*q^556+1908*p^64*q^530+21202*p^62*q^532+1370348*p^ 60*q^534+25269904*p^58*q^536+402214406*p^56*q^538+4370447862*p^54*q^540+ 16535253986*p^52*q^542+10247047156*p^50*q^544+1308549410*p^48*q^546+89920912*p^ 46*q^548+4817678*p^44*q^550+114168*p^42*q^552+6612*p^40*q^554+32*p^65*q^528+ 4806*p^63*q^530+194690*p^61*q^532+5247436*p^59*q^534+95944330*p^57*q^536+ 1319011112*p^55*q^538+9884303070*p^53*q^540+16680493589*p^51*q^542+4456713874*p ^49*q^544+383292385*p^47*q^546+22306102*p^45*q^548+1030270*p^43*q^550+40302*p^ 41*q^552+532*p^39*q^554+1016*p^64*q^528+19764*p^62*q^530+1087950*p^60*q^532+ 21390050*p^58*q^534+344504906*p^56*q^536+3814713624*p^54*q^538+16080645813*p^52 *q^540+10901816444*p^50*q^542+1520816014*p^48*q^544+103382876*p^46*q^546+ 5605589*p^44*q^548+135384*p^42*q^550+7058*p^40*q^552+7170*p^63*q^528+130332*p^ 61*q^530+4509372*p^59*q^532+81102560*p^57*q^534+1150424208*p^55*q^536+ 8931854053*p^53*q^538+17106868550*p^51*q^540+4934818607*p^49*q^542+446002944*p^ 47*q^544+26868978*p^45*q^546+1319158*p^43*q^548+27842*p^41*q^550+1256*p^39*q^ 552+624*p^64*q^526+18738*p^62*q^528+910080*p^60*q^530+18264697*p^58*q^532+ 294049312*p^56*q^534+3380984432*p^54*q^536+15137103660*p^52*q^538+11767551403*p ^50*q^540+1731005598*p^48*q^542+123470816*p^46*q^544+6480840*p^44*q^546+192395* p^42*q^548+14372*p^40*q^550+20*p^38*q^552+8*p^65*q^524+5684*p^63*q^526+109652*p ^61*q^528+3820820*p^59*q^530+69049854*p^57*q^532+978898903*p^55*q^534+ 8175087418*p^53*q^536+17045689707*p^51*q^538+5557697324*p^49*q^540+517502795*p^ 47*q^542+32240522*p^45*q^544+1632910*p^43*q^546+30204*p^41*q^548+676*p^39*q^550 +48*p^64*q^524+21416*p^62*q^526+650106*p^60*q^528+15197476*p^58*q^530+250092405 *p^56*q^532+2943164832*p^54*q^534+14534078493*p^52*q^536+12372651838*p^50*q^538 +1989012137*p^48*q^540+143383280*p^46*q^542+7590019*p^44*q^544+282098*p^42*q^ 546+9300*p^40*q^548+156*p^38*q^550+4886*p^63*q^524+85368*p^61*q^526+3375422*p^ 59*q^528+58739914*p^57*q^530+854583738*p^55*q^532+7293322157*p^53*q^534+ 17290226516*p^51*q^536+6085331003*p^49*q^538+605882918*p^47*q^540+37749130*p^45 *q^542+1898644*p^43*q^544+26558*p^41*q^546+3060*p^39*q^548+144*p^64*q^522+20742 *p^62*q^524+539474*p^60*q^526+12763170*p^58*q^528+213317868*p^56*q^530+ 2585356606*p^54*q^532+13522339848*p^52*q^534+13198584584*p^50*q^536+2258417708* p^48*q^538+168754415*p^46*q^540+9237618*p^44*q^542+411770*p^42*q^544+9088*p^40* q^546+28*p^38*q^548+1500*p^63*q^522+82398*p^61*q^524+2678629*p^59*q^526+ 50184830*p^57*q^528+726203575*p^55*q^530+6619038156*p^53*q^532+16945236084*p^51 *q^534+6809752622*p^49*q^536+696895896*p^47*q^538+45216084*p^45*q^540+2204384*p ^43*q^542+43218*p^41*q^544+3244*p^39*q^546+8*p^37*q^548+52*p^64*q^520+22156*p^ 62*q^522+400208*p^60*q^524+10939758*p^58*q^526+182115859*p^56*q^528+2240819848* p^54*q^530+12800875874*p^52*q^532+13695751704*p^50*q^534+2583823248*p^48*q^536+ 196070562*p^46*q^538+11020502*p^44*q^540+506050*p^42*q^542+5070*p^40*q^544+300* p^38*q^546+1186*p^63*q^520+70450*p^61*q^522+2205496*p^59*q^524+42217066*p^57*q^ 526+628015928*p^55*q^528+5869703842*p^53*q^530+16916810758*p^51*q^532+ 7374796344*p^49*q^534+814291206*p^47*q^536+52977463*p^45*q^538+2537972*p^43*q^ 540+74350*p^41*q^542+2460*p^39*q^544+8*p^64*q^518+13408*p^62*q^520+346466*p^60* q^522+9432090*p^58*q^524+154646074*p^56*q^526+1971132791*p^54*q^528+11777649476 *p^52*q^530+14431009831*p^50*q^532+2908951270*p^48*q^534+229772155*p^46*q^536+ 13343906*p^44*q^538+623434*p^42*q^540+4276*p^40*q^542+832*p^38*q^544+946*p^63*q ^518+72710*p^61*q^520+1790355*p^59*q^522+35500352*p^57*q^524+534864524*p^55*q^ 526+5259819154*p^53*q^528+16392493099*p^51*q^530+8140667192*p^49*q^532+ 936127335*p^47*q^534+63211386*p^45*q^536+3002557*p^43*q^538+113630*p^41*q^540+ 1844*p^39*q^542+8*p^37*q^544+12*p^64*q^516+7828*p^62*q^518+293906*p^60*q^520+ 7770044*p^58*q^522+132691539*p^56*q^524+1691943560*p^54*q^526+11044089574*p^52* q^528+14776038228*p^50*q^530+3316523669*p^48*q^532+266909036*p^46*q^534+ 15928261*p^44*q^536+731380*p^42*q^538+8404*p^40*q^540+464*p^38*q^542+228*p^63*q ^516+63108*p^61*q^518+1380436*p^59*q^520+30491434*p^57*q^522+461235976*p^55*q^ 524+4640619859*p^53*q^526+16117635792*p^51*q^528+8748750330*p^49*q^530+ 1083524268*p^47*q^532+72513605*p^45*q^534+3624670*p^43*q^536+145412*p^41*q^538+ 204*p^39*q^540+124*p^37*q^542+16*p^64*q^514+7928*p^62*q^516+249366*p^60*q^518+ 6728404*p^58*q^520+112611526*p^56*q^522+1478039208*p^54*q^524+10026210038*p^52* q^526+15370923951*p^50*q^528+3700981860*p^48*q^530+314537521*p^46*q^532+ 19604090*p^44*q^534+824892*p^42*q^536+18820*p^40*q^538+574*p^38*q^540+236*p^63* q^514+43118*p^61*q^516+1203816*p^59*q^518+25550764*p^57*q^520+391402388*p^55*q^ 522+4140153338*p^53*q^524+15395482395*p^51*q^526+9556280056*p^49*q^528+ 1240521824*p^47*q^530+85763122*p^45*q^532+4364566*p^43*q^534+197036*p^41*q^536+ 566*p^39*q^538+56*p^37*q^540+4*p^66*q^510+12*p^64*q^512+3300*p^62*q^514+223980* p^60*q^516+5322638*p^58*q^518+96047130*p^56*q^520+1272021900*p^54*q^522+ 9277102756*p^52*q^524+15508029388*p^50*q^526+4187740899*p^48*q^528+363924390*p^ 46*q^530+22849717*p^44*q^532+944226*p^42*q^534+27388*p^40*q^536+8*p^36*q^540+ 232*p^63*q^512+40786*p^61*q^514+996826*p^59*q^516+21968062*p^57*q^518+338223490 *p^55*q^520+3619560470*p^53*q^522+14971203664*p^51*q^524+10136119467*p^49*q^526 +1434518226*p^47*q^528+99015887*p^45*q^530+5536334*p^43*q^532+225900*p^41*q^534 +1814*p^39*q^536+104*p^37*q^538+2516*p^62*q^512+180860*p^60*q^514+4479556*p^58* q^516+81037374*p^56*q^518+1106137649*p^54*q^520+8357807308*p^52*q^522+ 15890813417*p^50*q^524+4634100810*p^48*q^526+427851930*p^46*q^528+27043192*p^44 *q^530+1093735*p^42*q^532+40920*p^40*q^534+16*p^38*q^536+4*p^36*q^538+48*p^65*q ^508+200*p^63*q^510+26772*p^61*q^512+832328*p^59*q^514+18516256*p^57*q^516+ 287345310*p^55*q^518+3204697810*p^53*q^520+14095850283*p^51*q^522+10971202308*p ^49*q^524+1634073168*p^47*q^526+116805728*p^45*q^528+6790675*p^43*q^530+262616* p^41*q^532+4360*p^39*q^534+8*p^64*q^508+1696*p^62*q^510+163374*p^60*q^512+ 3729784*p^58*q^514+69210231*p^56*q^516+944602582*p^54*q^518+7668362983*p^52*q^ 520+15818289700*p^50*q^522+5193255641*p^48*q^524+491761104*p^46*q^526+31685107* p^44*q^528+1363232*p^42*q^530+52130*p^40*q^532+72*p^38*q^534+8*p^36*q^536+8*p^ 65*q^506+24*p^63*q^508+19350*p^61*q^510+670992*p^59*q^512+15589724*p^57*q^514+ 246916810*p^55*q^516+2795970583*p^53*q^518+13497607512*p^51*q^520+11491812134*p ^49*q^522+1880833874*p^47*q^524+137133751*p^45*q^526+8117404*p^43*q^528+278936* p^41*q^530+5894*p^39*q^532+224*p^64*q^506+1833*p^62*q^508+131826*p^60*q^510+ 3202052*p^58*q^512+58554384*p^56*q^514+821223738*p^54*q^516+6830938240*p^52*q^ 518+16013307796*p^50*q^520+5689933064*p^48*q^522+575343851*p^46*q^524+36482392* p^44*q^526+1814770*p^42*q^528+70458*p^40*q^530+468*p^38*q^532+120*p^63*q^506+ 12040*p^61*q^508+598150*p^59*q^510+12910438*p^57*q^512+210225007*p^55*q^514+ 2458108150*p^53*q^516+12579376987*p^51*q^518+12258271616*p^49*q^520+2130938465* p^47*q^522+161610004*p^45*q^524+9916992*p^43*q^526+304606*p^41*q^528+8990*p^39* q^530+168*p^64*q^504+676*p^62*q^506+105668*p^60*q^508+2541466*p^58*q^510+ 50175790*p^56*q^512+699756738*p^54*q^514+6201682310*p^52*q^516+15710319244*p^50 *q^518+6339580059*p^48*q^520+660298202*p^46*q^522+42631419*p^44*q^524+2182086*p ^42*q^526+77370*p^40*q^528+672*p^38*q^530+532*p^63*q^504+10878*p^61*q^506+ 492552*p^59*q^508+11056323*p^57*q^510+179729486*p^55*q^512+2135091494*p^53*q^ 514+11901232296*p^51*q^516+12693258401*p^49*q^518+2431436704*p^47*q^520+ 187383541*p^45*q^522+11595592*p^43*q^524+414292*p^41*q^526+14344*p^39*q^528+20* p^37*q^530+12*p^64*q^502+858*p^62*q^504+80152*p^60*q^506+2175532*p^58*q^508+ 42430860*p^56*q^510+607528252*p^54*q^512+5491651970*p^52*q^514+15633193402*p^50 *q^516+6878427296*p^48*q^518+773787283*p^46*q^520+50349478*p^44*q^522+2785144*p ^42*q^524+73188*p^40*q^526+1042*p^38*q^528+1104*p^63*q^502+7068*p^61*q^504+ 427422*p^59*q^506+9257534*p^57*q^508+151713764*p^55*q^510+1866321172*p^53*q^512 +10939309903*p^51*q^514+13386689796*p^49*q^516+2734084157*p^47*q^518+220408376* p^45*q^520+13534997*p^43*q^522+530054*p^41*q^524+19910*p^39*q^526+72*p^37*q^528 +8*p^64*q^500+1100*p^62*q^502+54253*p^60*q^504+1794666*p^58*q^506+35598887*p^56 *q^508+518877370*p^54*q^510+4951159916*p^52*q^512+15154391542*p^50*q^514+ 7559410466*p^48*q^516+884720950*p^46*q^518+59345487*p^44*q^520+3360728*p^42*q^ 522+84950*p^40*q^524+1784*p^38*q^526+328*p^63*q^500+4980*p^61*q^502+379050*p^59 *q^504+7732763*p^57*q^506+131543310*p^55*q^508+1611311237*p^53*q^510+ 10236770778*p^51*q^512+13646551399*p^49*q^514+3109465832*p^47*q^516+255191149*p ^45*q^518+15537628*p^43*q^520+679712*p^41*q^522+18244*p^39*q^524+64*p^37*q^526+ 3410*p^62*q^500+45186*p^60*q^502+1487574*p^58*q^504+30503708*p^56*q^506+ 446206519*p^54*q^508+4346465452*p^52*q^510+14907905911*p^50*q^512+8128786678*p^ 48*q^514+1028362991*p^46*q^516+69585166*p^44*q^518+4304671*p^42*q^520+112610*p^ 40*q^522+4140*p^38*q^524+4*p^36*q^526+176*p^63*q^498+5126*p^61*q^500+268556*p^ 59*q^502+6533090*p^57*q^504+110247928*p^55*q^506+1405546684*p^53*q^508+ 9310338216*p^51*q^510+14202063140*p^49*q^512+3461813746*p^47*q^514+299042352*p^ 45*q^516+18353139*p^43*q^518+823084*p^41*q^520+19918*p^39*q^522+100*p^37*q^524+ 2652*p^62*q^498+29646*p^60*q^500+1352744*p^58*q^502+25721619*p^56*q^504+ 381135154*p^54*q^506+3889650160*p^52*q^508+14217282202*p^50*q^510+8875618221*p^ 48*q^512+1171614934*p^46*q^514+82398985*p^44*q^516+4850818*p^42*q^518+148548*p^ 40*q^520+3548*p^38*q^522+24*p^63*q^496+7128*p^61*q^498+219404*p^59*q^500+ 5285428*p^57*q^502+94777258*p^55*q^504+1211320041*p^53*q^506+8602640588*p^51*q^ 508+14296670924*p^49*q^510+3904387528*p^47*q^512+346467344*p^45*q^514+21299344* p^43*q^516+1138533*p^41*q^518+21596*p^39*q^520+566*p^37*q^522+1596*p^62*q^496+ 27858*p^60*q^498+1121053*p^58*q^500+21966444*p^56*q^502+328475751*p^54*q^504+ 3397400004*p^52*q^506+13792266718*p^50*q^508+9392484856*p^48*q^510+1358506536*p ^46*q^512+95568876*p^44*q^514+5760274*p^42*q^516+182672*p^40*q^518+4700*p^38*q^ 520+10196*p^61*q^496+162232*p^59*q^498+4513370*p^57*q^500+79719584*p^55*q^502+ 1053765496*p^53*q^504+7753483680*p^51*q^506+14646742858*p^49*q^508+4324590060*p ^47*q^510+406141952*p^45*q^512+25429819*p^43*q^514+1443226*p^41*q^516+28124*p^ 39*q^518+548*p^37*q^520+668*p^62*q^494+22318*p^60*q^496+913452*p^58*q^498+ 18297420*p^56*q^500+279132920*p^54*q^502+3010369572*p^52*q^504+13013954822*p^50 *q^506+10135385748*p^48*q^508+1536633970*p^46*q^510+112142121*p^44*q^512+ 6638158*p^42*q^514+227977*p^40*q^516+4738*p^38*q^518+36*p^36*q^520+8*p^63*q^492 +8068*p^61*q^494+131900*p^59*q^496+3855490*p^57*q^498+68953242*p^55*q^500+ 903893468*p^53*q^502+7122758196*p^51*q^504+14552566461*p^49*q^506+4830013844*p^ 47*q^508+467476200*p^45*q^510+30027190*p^43*q^512+1681994*p^41*q^514+38236*p^39 *q^516+684*p^37*q^518+56*p^62*q^492+28984*p^60*q^494+733020*p^58*q^496+15498056 *p^56*q^498+238832890*p^54*q^500+2621640520*p^52*q^502+12408788973*p^50*q^504+ 10622962200*p^48*q^506+1769939486*p^46*q^508+131831810*p^44*q^510+7736951*p^42* q^512+353740*p^40*q^514+4614*p^38*q^516+68*p^36*q^518+6076*p^61*q^492+103711*p^ 59*q^494+3304962*p^57*q^496+57855750*p^55*q^498+784850318*p^53*q^500+6334763479 *p^51*q^502+14752734972*p^49*q^504+5296868033*p^47*q^506+547233748*p^45*q^508+ 35109259*p^43*q^510+2124920*p^41*q^512+41776*p^39*q^514+1138*p^37*q^516+176*p^ 62*q^490+26454*p^60*q^492+578142*p^58*q^494+12769604*p^56*q^496+203959192*p^54* q^498+2311228563*p^52*q^500+11587029548*p^50*q^502+11285515952*p^48*q^504+ 1994503228*p^46*q^506+153196558*p^44*q^508+9067398*p^42*q^510+411514*p^40*q^512 +6570*p^38*q^514+36*p^36*q^516+8*p^63*q^488+1682*p^61*q^490+99398*p^59*q^492+ 2774896*p^57*q^494+50076072*p^55*q^496+671812994*p^53*q^498+5760788224*p^51*q^ 500+14401338858*p^49*q^502+5888187270*p^47*q^504+626570990*p^45*q^506+41688204* p^43*q^508+2396584*p^41*q^510+63836*p^39*q^512+704*p^37*q^514+4*p^35*q^516+48*p ^62*q^488+28100*p^60*q^490+466122*p^58*q^492+10878620*p^56*q^494+174631769*p^54 *q^496+2003150532*p^52*q^498+10936341519*p^50*q^500+11690517170*p^48*q^502+ 2277634351*p^46*q^504+179547078*p^44*q^506+10784568*p^42*q^508+590178*p^40*q^ 510+8684*p^38*q^512+200*p^36*q^514+4*p^63*q^486+1612*p^61*q^488+85662*p^59*q^ 490+2268382*p^57*q^492+41823399*p^55*q^494+579502212*p^53*q^496+5095936567*p^51 *q^498+14369577720*p^49*q^500+6372246415*p^47*q^502+733194108*p^45*q^504+ 48253148*p^43*q^506+2826374*p^41*q^508+79336*p^39*q^510+884*p^37*q^512+92*p^62* q^486+15346*p^60*q^488+385566*p^58*q^490+9336970*p^56*q^492+148125920*p^54*q^ 494+1761496484*p^52*q^496+10069655298*p^50*q^498+12303016403*p^48*q^500+ 2552949964*p^46*q^502+209057180*p^44*q^504+12836956*p^42*q^506+703019*p^40*q^ 508+9676*p^38*q^510+84*p^36*q^512+8*p^63*q^484+948*p^61*q^486+86224*p^59*q^488+ 1888403*p^57*q^490+35220376*p^55*q^492+496869542*p^53*q^494+4590032842*p^51*q^ 496+13875807093*p^49*q^498+6995857076*p^47*q^500+836443430*p^45*q^502+57318680* p^43*q^504+3157091*p^41*q^506+124576*p^39*q^508+1452*p^37*q^510+16*p^35*q^512+ 64*p^62*q^484+10276*p^60*q^486+347174*p^58*q^488+7844866*p^56*q^490+128581983*p ^54*q^492+1516410502*p^52*q^494+9402202762*p^50*q^496+12534092664*p^48*q^498+ 2905361337*p^46*q^500+243487214*p^44*q^502+15008660*p^42*q^504+888026*p^40*q^ 506+11058*p^38*q^508+116*p^36*q^510+2*p^65*q^480+608*p^61*q^484+73658*p^59*q^ 486+1488008*p^57*q^488+29881006*p^55*q^490+425721232*p^53*q^492+4033163848*p^51 *q^494+13641189912*p^49*q^496+7508159117*p^47*q^498+969219288*p^45*q^500+ 66954062*p^43*q^502+3960982*p^41*q^504+170004*p^39*q^506+1820*p^37*q^508+6*p^35 *q^510+140*p^62*q^482+8472*p^60*q^484+273984*p^58*q^486+6681170*p^56*q^488+ 107990268*p^54*q^490+1327555343*p^52*q^492+8566223664*p^50*q^494+13020466356*p^ 48*q^496+3226380030*p^46*q^498+284607801*p^44*q^500+17590208*p^42*q^502+948389* p^40*q^504+18256*p^38*q^506+124*p^36*q^508+512*p^61*q^482+50422*p^59*q^484+ 1317556*p^57*q^486+25274264*p^55*q^488+365930684*p^53*q^490+3609546908*p^51*q^ 492+13004613908*p^49*q^494+8164615010*p^47*q^496+1100907219*p^45*q^498+78197786 *p^43*q^500+4588030*p^41*q^502+231818*p^39*q^504+1036*p^37*q^506+10*p^35*q^508+ 28*p^64*q^478+8*p^62*q^480+4552*p^60*q^482+258238*p^58*q^484+5536614*p^56*q^486 +93076237*p^54*q^488+1141794278*p^52*q^490+7898866052*p^50*q^492+13092321202*p^ 48*q^494+3637010325*p^46*q^496+330908600*p^44*q^498+20933679*p^42*q^500+1157602 *p^40*q^502+32477*p^38*q^504+330*p^36*q^506+1096*p^61*q^480+46152*p^59*q^482+ 1069392*p^57*q^484+21366312*p^55*q^486+313352398*p^53*q^488+3150536676*p^51*q^ 490+12600183518*p^49*q^492+8662132337*p^47*q^494+1277541990*p^45*q^496+91196736 *p^43*q^498+5433748*p^41*q^500+291914*p^39*q^502+1556*p^37*q^504+4*p^35*q^506+ 3328*p^60*q^480+197762*p^58*q^482+4583322*p^56*q^484+78104494*p^54*q^486+ 995607207*p^52*q^488+7128512228*p^50*q^490+13405537563*p^48*q^492+4007861008*p^ 46*q^494+384228988*p^44*q^496+24230702*p^42*q^498+1409968*p^40*q^500+42168*p^38 *q^502+48*p^36*q^504+158*p^63*q^476+354*p^61*q^478+30242*p^59*q^480+912822*p^57 *q^482+18420286*p^55*q^484+269527175*p^53*q^486+2802290654*p^51*q^488+ 11863881871*p^49*q^490+9291116646*p^47*q^492+1442501562*p^45*q^494+107219306*p^ 43*q^496+6364778*p^41*q^498+303682*p^39*q^500+4626*p^37*q^502+28*p^35*q^504+8*p ^62*q^476+5016*p^60*q^478+183124*p^58*q^480+3897480*p^56*q^482+66534784*p^54*q^ 484+849864224*p^52*q^486+6523694174*p^50*q^488+13277253498*p^48*q^490+ 4491351463*p^46*q^492+444874340*p^44*q^494+29146902*p^42*q^496+1674776*p^40*q^ 498+76009*p^38*q^500+60*p^36*q^502+48*p^63*q^474+24*p^61*q^476+22086*p^59*q^478 +724502*p^57*q^480+15459508*p^55*q^482+230624462*p^53*q^484+2438770600*p^51*q^ 486+11346538410*p^49*q^488+9750462572*p^47*q^490+1653660380*p^45*q^492+ 125189072*p^43*q^494+7310520*p^41*q^496+406590*p^39*q^498+5112*p^37*q^500+460*p ^62*q^474+4040*p^60*q^476+142870*p^58*q^478+3310580*p^56*q^480+56080764*p^54*q^ 482+740416916*p^52*q^484+5818746734*p^50*q^486+13442353180*p^48*q^488+ 4886880442*p^46*q^490+518300633*p^44*q^492+33549744*p^42*q^494+2027270*p^40*q^ 496+73206*p^38*q^498+380*p^36*q^500+138*p^61*q^474+18508*p^59*q^476+629822*p^57 *q^478+12985764*p^55*q^480+197218675*p^53*q^482+2151372880*p^51*q^484+ 10557758902*p^49*q^486+10347682576*p^47*q^488+1867720488*p^45*q^490+146402464*p ^43*q^492+8692652*p^41*q^494+494646*p^39*q^496+14058*p^37*q^498+520*p^62*q^472+ 824*p^60*q^474+116898*p^58*q^476+2713574*p^56*q^478+48647516*p^54*q^480+ 633761218*p^52*q^482+5280973655*p^50*q^484+13109454742*p^48*q^486+5432235713*p^ 46*q^488+591591594*p^44*q^490+39661073*p^42*q^492+2270474*p^40*q^494+97132*p^38 *q^496+524*p^36*q^498+766*p^61*q^472+22538*p^59*q^474+534714*p^57*q^476+ 10990433*p^55*q^478+167794830*p^53*q^480+1861207872*p^51*q^482+9957829592*p^49* q^484+10700909443*p^47*q^486+2131711908*p^45*q^488+172124659*p^43*q^490+ 10507454*p^41*q^492+639856*p^39*q^494+15812*p^37*q^496+8*p^35*q^498+40*p^62*q^ 470+1132*p^60*q^472+83848*p^58*q^474+2197490*p^56*q^476+40901132*p^54*q^478+ 549299020*p^52*q^480+4684649240*p^50*q^482+13067386077*p^48*q^484+5865699636*p^ 46*q^486+688290534*p^44*q^488+45936516*p^42*q^490+2559321*p^40*q^492+125334*p^ 38*q^494+1536*p^36*q^496+2196*p^61*q^470+10040*p^59*q^472+454848*p^57*q^474+ 9439540*p^55*q^476+142430851*p^53*q^478+1640761806*p^51*q^480+9165831035*p^49*q ^482+11210150388*p^47*q^484+2376539815*p^45*q^486+199747140*p^43*q^488+12216046 *p^41*q^490+733336*p^39*q^492+18306*p^37*q^494+56*p^35*q^496+40*p^62*q^468+1276 *p^60*q^470+85028*p^58*q^472+1893238*p^56*q^474+34769814*p^54*q^476+471685290*p ^52*q^478+4207564710*p^50*q^480+12601834458*p^48*q^482+6439177461*p^46*q^484+ 789692852*p^44*q^486+54947064*p^42*q^488+3017148*p^40*q^490+180512*p^38*q^492+ 2976*p^36*q^494+772*p^61*q^468+7400*p^59*q^470+380026*p^57*q^472+7727747*p^55*q ^474+122536570*p^53*q^476+1406259557*p^51*q^478+8554380592*p^49*q^480+ 11441856886*p^47*q^482+2699939596*p^45*q^484+231699861*p^43*q^486+14404258*p^41 *q^488+874565*p^39*q^490+24054*p^37*q^492+68*p^35*q^494+4828*p^60*q^468+63124*p ^58*q^470+1529136*p^56*q^472+29660774*p^54*q^474+404759665*p^52*q^476+ 3713401182*p^50*q^478+12383835870*p^48*q^480+6893555020*p^46*q^482+910450815*p^ 44*q^484+63835444*p^42*q^486+3635469*p^40*q^488+213126*p^38*q^490+2388*p^36*q^ 492+4*p^34*q^494+508*p^61*q^466+6094*p^59*q^468+308204*p^57*q^470+6582498*p^55* q^472+104323514*p^53*q^474+1237708314*p^51*q^476+7775284273*p^49*q^478+ 11828364560*p^47*q^480+2988423584*p^45*q^482+269645234*p^43*q^484+16891709*p^41 *q^486+905078*p^39*q^488+39758*p^37*q^490+432*p^35*q^492+4500*p^60*q^466+43538* p^58*q^468+1382672*p^56*q^470+25159790*p^54*q^472+345901792*p^52*q^474+ 3309468757*p^50*q^476+11773988244*p^48*q^478+7490760694*p^46*q^480+1037663922*p ^44*q^482+75689513*p^42*q^484+4316214*p^40*q^486+292857*p^38*q^488+3628*p^36*q^ 490+96*p^61*q^464+8204*p^59*q^466+268760*p^57*q^468+5300620*p^55*q^470+89217754 *p^53*q^472+1063575032*p^51*q^474+7182882528*p^49*q^476+11896284249*p^47*q^478+ 3367308042*p^45*q^480+312722421*p^43*q^482+19914196*p^41*q^484+1047388*p^39*q^ 486+54538*p^37*q^488+184*p^35*q^490+3176*p^60*q^464+34944*p^58*q^466+1137004*p^ 56*q^468+21271166*p^54*q^470+297981075*p^52*q^472+2896298650*p^50*q^474+ 11416724103*p^48*q^476+7913608310*p^46*q^478+1194639554*p^44*q^480+87106784*p^ 42*q^482+5169864*p^40*q^484+330144*p^38*q^486+5392*p^36*q^488+32*p^34*q^490+ 13012*p^59*q^464+204838*p^57*q^466+4531502*p^55*q^468+75755011*p^53*q^470+ 929428912*p^51*q^472+6475863792*p^49*q^474+12146814488*p^47*q^476+3700349502*p^ 45*q^478+364084356*p^43*q^480+23498733*p^41*q^482+1213294*p^39*q^484+71591*p^37 *q^486+412*p^35*q^488+2*p^62*q^460+1644*p^60*q^462+25252*p^58*q^464+980524*p^56 *q^466+17985617*p^54*q^468+254536218*p^52*q^470+2568466707*p^50*q^472+ 10717292992*p^48*q^474+8497691507*p^46*q^476+1350307392*p^44*q^478+102575292*p^ 42*q^480+6027634*p^40*q^482+350335*p^38*q^484+11988*p^36*q^486+8*p^34*q^488+42* p^61*q^460+12186*p^59*q^462+169456*p^57*q^464+3846742*p^55*q^466+64853082*p^53* q^468+793456658*p^51*q^470+5925828214*p^49*q^472+12035260766*p^47*q^474+ 4139854990*p^45*q^476+420190987*p^43*q^478+28003382*p^41*q^480+1468127*p^39*q^ 482+107156*p^37*q^484+324*p^35*q^486+8*p^62*q^458+128*p^60*q^460+32716*p^58*q^ 462+791356*p^56*q^464+14933210*p^54*q^466+218353746*p^52*q^468+2240605456*p^50* q^470+10243973339*p^48*q^472+8880842058*p^46*q^474+1543880687*p^44*q^476+ 119187508*p^42*q^478+7097658*p^40*q^480+378736*p^38*q^482+12795*p^36*q^484+24*p ^34*q^486+20*p^61*q^458+10848*p^59*q^460+116706*p^57*q^462+3328878*p^55*q^464+ 55026178*p^53*q^466+692972316*p^51*q^468+5288828484*p^49*q^470+12140580796*p^47 *q^472+4495679390*p^45*q^474+488168266*p^43*q^476+32260076*p^41*q^478+1766516*p ^39*q^480+123680*p^37*q^482+1664*p^35*q^484+602*p^60*q^458+31448*p^58*q^460+ 689128*p^56*q^462+12582904*p^54*q^464+187197862*p^52*q^466+1975080537*p^50*q^ 468+9513419260*p^48*q^470+9400331633*p^46*q^472+1740723052*p^44*q^474+139481788 *p^42*q^476+8622968*p^40*q^478+411560*p^38*q^480+23612*p^36*q^482+4*p^34*q^484+ 104*p^61*q^456+3016*p^59*q^458+115024*p^57*q^460+2755079*p^55*q^462+46914146*p^ 53*q^464+590155630*p^51*q^466+4788201768*p^49*q^468+11857434188*p^47*q^470+ 4998215194*p^45*q^472+558856887*p^43*q^474+38139102*p^41*q^476+2063777*p^39*q^ 478+150504*p^37*q^480+2410*p^35*q^482+142*p^60*q^456+39408*p^58*q^458+502454*p^ 56*q^460+10589186*p^54*q^462+160132989*p^52*q^464+1714198286*p^50*q^466+ 8993597045*p^48*q^468+9712366454*p^46*q^470+1973597857*p^44*q^472+162181506*p^ 42*q^474+10131588*p^40*q^476+487338*p^38*q^478+30938*p^36*q^480+84*p^34*q^482+8 *p^61*q^454+3826*p^59*q^456+92932*p^57*q^458+2408994*p^55*q^460+39855823*p^53*q ^462+514314730*p^51*q^464+4250962605*p^49*q^466+11754301624*p^47*q^468+ 5375354602*p^45*q^470+649533436*p^43*q^472+44060440*p^41*q^474+2481774*p^39*q^ 476+140256*p^37*q^478+3080*p^35*q^480+572*p^60*q^454+23080*p^58*q^456+438754*p^ 56*q^458+9075465*p^54*q^460+135742022*p^52*q^462+1504862459*p^50*q^464+ 8242138692*p^48*q^466+10169872376*p^46*q^468+2207634280*p^44*q^470+190050190*p^ 42*q^472+12034294*p^40*q^474+564759*p^38*q^476+54386*p^36*q^478+426*p^34*q^480+ 8*p^61*q^452+1792*p^59*q^454+99944*p^57*q^456+1942184*p^55*q^458+33268260*p^53* q^460+439677338*p^51*q^462+3819006268*p^49*q^464+11346121355*p^47*q^466+ 5887400620*p^45*q^468+741197198*p^43*q^470+52086428*p^41*q^472+2973409*p^39*q^ 474+163816*p^37*q^476+4386*p^35*q^478+250*p^60*q^452+17100*p^58*q^454+375296*p^ 56*q^456+7685534*p^54*q^458+117589400*p^52*q^460+1297033824*p^50*q^462+ 7708954072*p^48*q^464+10339720156*p^46*q^466+2497259175*p^44*q^468+219085646*p^ 42*q^470+13885450*p^40*q^472+675236*p^38*q^474+51986*p^36*q^476+184*p^34*q^478+ 1912*p^59*q^452+93796*p^57*q^454+1562940*p^55*q^456+28345507*p^53*q^458+ 379084808*p^51*q^460+3366954315*p^49*q^462+11123147258*p^47*q^464+6282715088*p^ 45*q^466+853955862*p^43*q^468+60803682*p^41*q^470+3751086*p^39*q^472+157017*p^ 37*q^474+12856*p^35*q^476+36*p^33*q^478+148*p^60*q^450+14578*p^58*q^452+294828* p^56*q^454+6656266*p^54*q^456+99673884*p^52*q^458+1138149772*p^50*q^460+ 6986830454*p^48*q^462+10686073279*p^46*q^464+2763900620*p^44*q^466+255924217*p^ 42*q^468+16170918*p^40*q^470+766214*p^38*q^472+66146*p^36*q^474+312*p^34*q^476+ 2126*p^59*q^450+68124*p^57*q^452+1389114*p^55*q^454+23903262*p^53*q^456+ 323099819*p^51*q^458+2999612610*p^49*q^460+10573302708*p^47*q^462+6830530996*p^ 45*q^464+969358336*p^43*q^466+72041758*p^41*q^468+4437462*p^39*q^470+180924*p^ 37*q^472+15984*p^35*q^474+38*p^60*q^448+6916*p^58*q^450+287558*p^56*q^452+ 5365110*p^54*q^454+84961455*p^52*q^456+980461086*p^50*q^458+6460256542*p^48*q^ 460+10720904276*p^46*q^462+3099999826*p^44*q^464+296062310*p^42*q^466+18658594* p^40*q^468+997226*p^38*q^470+69110*p^36*q^472+1608*p^34*q^474+1340*p^59*q^448+ 67806*p^57*q^450+1101132*p^55*q^452+20548832*p^53*q^454+280833086*p^51*q^456+ 2629786503*p^49*q^458+10216224132*p^47*q^460+7186758087*p^45*q^462+1115291008*p ^43*q^464+82745389*p^41*q^466+5157712*p^39*q^468+184102*p^37*q^470+19464*p^35*q ^472+4*p^33*q^474+9778*p^58*q^448+235768*p^56*q^450+4643840*p^54*q^452+71851314 *p^52*q^454+853741153*p^50*q^456+5811361930*p^48*q^458+10917258343*p^46*q^460+ 3405436644*p^44*q^462+344716096*p^42*q^464+22464878*p^40*q^466+1347648*p^38*q^ 468+55768*p^36*q^470+3742*p^34*q^472+756*p^59*q^446+37846*p^57*q^448+952438*p^ 55*q^450+17306128*p^53*q^452+238454112*p^51*q^454+2330418042*p^49*q^456+ 9600159702*p^47*q^458+7709968568*p^45*q^460+1260079222*p^43*q^462+97647552*p^41 *q^464+5834148*p^39*q^466+210368*p^37*q^468+33623*p^35*q^470+76*p^33*q^472+12*p ^60*q^444+7420*p^58*q^446+228974*p^56*q^448+3797690*p^54*q^450+61388221*p^52*q^ 452+732014494*p^50*q^454+5324266305*p^48*q^456+10817499164*p^46*q^458+ 3790897295*p^44*q^460+394573610*p^42*q^462+26243508*p^40*q^464+1608182*p^38*q^ 466+52422*p^36*q^468+2958*p^34*q^470+60*p^59*q^444+37402*p^57*q^446+778336*p^55 *q^448+14876222*p^53*q^450+205539048*p^51*q^452+2035939540*p^49*q^454+ 9152053592*p^47*q^456+8030583779*p^45*q^458+1434739374*p^43*q^460+113617534*p^ 41*q^462+6733444*p^39*q^464+316284*p^37*q^466+26168*p^35*q^468+584*p^33*q^470+ 6440*p^58*q^444+175576*p^56*q^446+3296380*p^54*q^448+51846260*p^52*q^450+ 638315476*p^50*q^452+4734457280*p^48*q^454+10872216488*p^46*q^456+4124021766*p^ 44*q^458+461583420*p^42*q^460+30939970*p^40*q^462+1930348*p^38*q^464+38788*p^36 *q^466+10377*p^34*q^468+204*p^59*q^442+29296*p^57*q^444+705989*p^55*q^446+ 12274766*p^53*q^448+175093930*p^51*q^450+1789901264*p^49*q^452+8500448123*p^47* q^454+8505279068*p^45*q^456+1613702939*p^43*q^458+132236170*p^41*q^460+7887070* p^39*q^462+442992*p^37*q^464+23575*p^35*q^466+148*p^33*q^468+8*p^60*q^440+1900* p^58*q^442+144710*p^56*q^444+2674286*p^54*q^446+44752636*p^52*q^448+546071174*p ^50*q^450+4303678303*p^48*q^452+10598913280*p^46*q^454+4554244535*p^44*q^456+ 524349154*p^42*q^458+36481310*p^40*q^460+2196300*p^38*q^462+53035*p^36*q^464+ 11720*p^34*q^466+40*p^32*q^468+40*p^59*q^440+30958*p^57*q^442+611648*p^55*q^444 +10455542*p^53*q^446+150240504*p^51*q^448+1556709146*p^49*q^450+8012016846*p^47 *q^452+8744750129*p^45*q^454+1828476870*p^43*q^456+153739128*p^41*q^458+9292554 *p^39*q^460+558078*p^37*q^462+10630*p^35*q^464+1671*p^33*q^466+4*p^60*q^438+ 1652*p^58*q^440+114056*p^56*q^442+2280071*p^54*q^444+37931156*p^52*q^446+ 473744319*p^50*q^448+3808223206*p^48*q^450+10502099067*p^46*q^452+4899999448*p^ 44*q^454+610557716*p^42*q^456+42432824*p^40*q^458+2482492*p^38*q^460+88114*p^36 *q^462+12534*p^34*q^464+108*p^59*q^438+18388*p^57*q^440+517458*p^55*q^442+ 8885348*p^53*q^444+126784070*p^51*q^446+1366866920*p^49*q^448+7341859599*p^47*q ^450+9157353470*p^45*q^452+2038585224*p^43*q^454+179489792*p^41*q^456+11228950* p^39*q^458+711188*p^37*q^460+6770*p^35*q^462+3328*p^33*q^464+8*p^60*q^436+900*p ^58*q^438+101766*p^56*q^440+1963578*p^54*q^442+31906924*p^52*q^444+405898326*p^ 50*q^446+3424769193*p^48*q^448+10122845356*p^46*q^450+5351993987*p^44*q^452+ 693376430*p^42*q^454+49960760*p^40*q^456+2680066*p^38*q^458+132764*p^36*q^460+ 7352*p^34*q^462+102*p^32*q^464+64*p^59*q^436+10598*p^57*q^438+448626*p^55*q^440 +7361641*p^53*q^442+110205836*p^51*q^444+1180366623*p^49*q^446+6858792468*p^47* q^448+9268023744*p^45*q^450+2299600124*p^43*q^452+206879720*p^41*q^454+13081970 *p^39*q^456+862054*p^37*q^458+10804*p^35*q^460+4502*p^33*q^462+754*p^58*q^436+ 93680*p^56*q^438+1651466*p^54*q^440+27389948*p^52*q^442+350261515*p^50*q^444+ 3012568002*p^48*q^446+9877656755*p^46*q^448+5705895632*p^44*q^450+799375838*p^ 42*q^452+58211706*p^40*q^454+3288514*p^38*q^456+174728*p^36*q^458+1226*p^34*q^ 460+554*p^32*q^462+132*p^59*q^434+8738*p^57*q^436+327010*p^55*q^438+6340144*p^ 53*q^440+92734918*p^51*q^442+1030701862*p^49*q^444+6217018935*p^47*q^446+ 9583782432*p^45*q^448+2540620759*p^43*q^450+242240326*p^41*q^452+15856034*p^39* q^454+921992*p^37*q^456+22922*p^35*q^458+5342*p^33*q^460+608*p^58*q^434+58316*p ^56*q^436+1513988*p^54*q^438+22835117*p^52*q^440+299075592*p^50*q^442+ 2696678455*p^48*q^444+9403913514*p^46*q^446+6169665059*p^44*q^448+902810550*p^ 42*q^450+67452692*p^40*q^452+3706932*p^38*q^454+251518*p^36*q^456+764*p^34*q^ 458+786*p^32*q^460+4*p^61*q^430+8*p^59*q^432+4800*p^57*q^434+324652*p^55*q^436+ 5269918*p^53*q^438+80436178*p^51*q^440+891881510*p^49*q^442+5730633262*p^47*q^ 444+9573658184*p^45*q^446+2840093416*p^43*q^448+279660907*p^41*q^450+18530760*p ^39*q^452+1027740*p^37*q^454+34092*p^35*q^456+970*p^33*q^458+44*p^31*q^460+956* p^58*q^432+50390*p^56*q^434+1181272*p^54*q^436+19486476*p^52*q^438+257570302*p^ 50*q^440+2351244036*p^48*q^442+9060721497*p^46*q^444+6501988232*p^44*q^446+ 1040166014*p^42*q^448+78270208*p^40*q^450+4632630*p^38*q^452+316784*p^36*q^454+ 2060*p^34*q^456+2360*p^32*q^458+4386*p^57*q^432+249230*p^55*q^434+4597098*p^53* q^436+67450631*p^51*q^438+776566084*p^49*q^440+5160576501*p^47*q^442+9742890544 *p^45*q^444+3115282944*p^43*q^446+324934918*p^41*q^448+21806613*p^39*q^450+ 1079506*p^37*q^452+49040*p^35*q^454+22*p^33*q^456+44*p^31*q^458+48*p^60*q^428+ 344*p^58*q^430+30850*p^56*q^432+1018228*p^54*q^434+16483018*p^52*q^436+ 220533708*p^50*q^438+2089163318*p^48*q^440+8500125152*p^46*q^442+6943860357*p^ 44*q^444+1168128234*p^42*q^446+91864727*p^40*q^448+5546378*p^38*q^450+382720*p^ 36*q^452+5664*p^34*q^454+919*p^32*q^456+8*p^59*q^428+4294*p^57*q^430+211070*p^ 55*q^432+3914180*p^53*q^434+57811144*p^51*q^436+666199931*p^49*q^438+4724666488 *p^47*q^440+9615231072*p^45*q^442+3457222122*p^43*q^444+371977908*p^41*q^446+ 25333984*p^39*q^448+1221568*p^37*q^450+75140*p^35*q^452+58*p^33*q^454+536*p^31* q^456+8*p^60*q^426+24*p^58*q^428+26430*p^56*q^430+865808*p^54*q^432+14086684*p^ 52*q^434+189875600*p^50*q^436+1820854358*p^48*q^438+8085359488*p^46*q^440+ 7217902272*p^44*q^442+1330376610*p^42*q^444+107268098*p^40*q^446+6718500*p^38*q ^448+395288*p^36*q^450+6604*p^34*q^452+224*p^59*q^426+3772*p^57*q^428+155525*p^ 55*q^430+3308520*p^53*q^432+48420164*p^51*q^434+578662022*p^49*q^436+4198025518 *p^47*q^438+9669975498*p^45*q^440+3755668502*p^43*q^442+434299820*p^41*q^444+ 29201090*p^39*q^446+1513402*p^37*q^448+118704*p^35*q^450+560*p^33*q^452+528*p^ 31*q^454+128*p^58*q^426+18116*p^56*q^428+726802*p^54*q^430+11902724*p^52*q^432+ 162136882*p^50*q^434+1606832063*p^48*q^436+7512507112*p^46*q^438+7630121044*p^ 44*q^440+1487344184*p^42*q^442+124622488*p^40*q^444+8108740*p^38*q^446+391156*p ^36*q^448+10760*p^34*q^450+48*p^30*q^454+172*p^59*q^424+812*p^57*q^426+128626*p ^55*q^428+2790001*p^53*q^430+41972046*p^51*q^432+496997413*p^49*q^434+ 3810560124*p^47*q^436+9383281367*p^45*q^438+4130838884*p^43*q^440+493229451*p^ 41*q^442+33902504*p^39*q^444+1773666*p^37*q^446+146832*p^35*q^448+900*p^33*q^ 450+552*p^58*q^424+20384*p^56*q^426+603432*p^54*q^428+10209776*p^52*q^430+ 138814286*p^50*q^432+1392962712*p^48*q^434+7054645904*p^46*q^436+7827690600*p^ 44*q^438+1689752786*p^42*q^440+146091532*p^40*q^442+9625202*p^38*q^444+428828*p ^36*q^446+22252*p^34*q^448+16*p^32*q^450+171*p^30*q^452+14*p^59*q^422+1056*p^57 *q^424+92042*p^55*q^426+2319946*p^53*q^428+35256591*p^51*q^430+429829128*p^49*q ^432+3369134677*p^47*q^434+9291384266*p^45*q^436+4443876973*p^43*q^438+ 570056024*p^41*q^440+39323178*p^39*q^442+2293062*p^37*q^444+155914*p^35*q^446+ 756*p^33*q^448+1132*p^58*q^422+9834*p^56*q^424+497652*p^54*q^426+8728877*p^52*q ^428+117259280*p^50*q^430+1226508118*p^48*q^432+6480612998*p^46*q^434+ 8166577725*p^44*q^436+1868771618*p^42*q^438+170748372*p^40*q^440+10981176*p^38* q^442+412268*p^36*q^444+40044*p^34*q^446+108*p^32*q^448+12*p^59*q^420+1296*p^57 *q^422+79042*p^55*q^424+2014670*p^53*q^426+30186268*p^51*q^428+370572498*p^49*q ^430+3032406318*p^47*q^432+8923253734*p^45*q^434+4831119568*p^43*q^436+ 648417694*p^41*q^438+46118008*p^39*q^440+2882506*p^37*q^442+179488*p^35*q^444+ 2072*p^33*q^446+29*p^29*q^450+360*p^58*q^420+7012*p^56*q^422+417534*p^54*q^424+ 7276540*p^52*q^426+101187242*p^50*q^428+1054069044*p^48*q^430+6020447170*p^46*q ^432+8266159346*p^44*q^434+2109459686*p^42*q^436+197204046*p^40*q^438+12620110* p^38*q^440+543304*p^36*q^442+46242*p^34*q^444+16*p^32*q^446+3492*p^57*q^420+ 62038*p^55*q^422+1628232*p^53*q^424+25790701*p^51*q^426+318198044*p^49*q^428+ 2666209455*p^47*q^430+8716006544*p^45*q^432+5149290363*p^43*q^434+744857276*p^ 41*q^436+54284324*p^39*q^438+3599916*p^37*q^440+132434*p^35*q^442+7176*p^33*q^ 444+4*p^31*q^446+236*p^58*q^418+6110*p^56*q^420+304684*p^54*q^422+6276822*p^52* q^424+85621880*p^50*q^426+924729558*p^48*q^428+5464968652*p^46*q^430+8504898337 *p^44*q^432+2319330318*p^42*q^434+228470333*p^40*q^436+14317294*p^38*q^438+ 674360*p^36*q^440+72798*p^34*q^442+56*p^32*q^444+2*p^28*q^448+2870*p^57*q^418+ 40694*p^55*q^420+1474603*p^53*q^422+21927304*p^51*q^424+272509060*p^49*q^426+ 2385293968*p^47*q^428+8253974986*p^45*q^430+5549549954*p^43*q^432+839341338*p^ 41*q^434+64789068*p^39*q^436+4195720*p^37*q^438+122472*p^35*q^440+8540*p^33*q^ 442+28*p^58*q^416+7624*p^56*q^418+267058*p^54*q^420+5154498*p^52*q^422+73811844 *p^50*q^424+797930656*p^48*q^426+5023091019*p^46*q^428+8483500014*p^44*q^430+ 2591385437*p^42*q^432+264375100*p^40*q^434+16371512*p^38*q^436+967380*p^36*q^ 438+73494*p^34*q^440+660*p^32*q^442+1984*p^57*q^416+33668*p^55*q^418+1156840*p^ 53*q^420+18671730*p^51*q^422+233979294*p^49*q^424+2077487456*p^47*q^426+ 7961165518*p^45*q^428+5833436086*p^43*q^430+965036608*p^41*q^432+74943696*p^39* q^434+4903752*p^37*q^436+132468*p^35*q^438+16940*p^33*q^440+10720*p^56*q^416+ 194852*p^54*q^418+4457534*p^52*q^420+62144320*p^50*q^422+696594503*p^48*q^424+ 4529686526*p^46*q^426+8615512810*p^44*q^428+2830664458*p^42*q^430+304964103*p^ 40*q^432+19393992*p^38*q^434+1240058*p^36*q^436+48636*p^34*q^438+1264*p^32*q^ 440+2*p^59*q^412+792*p^57*q^414+25076*p^55*q^416+970272*p^53*q^418+15883182*p^ 51*q^420+200811483*p^49*q^422+1847731340*p^47*q^424+7441036455*p^45*q^426+ 6214559062*p^43*q^428+1077311536*p^41*q^430+88221648*p^39*q^432+5251938*p^37*q^ 434+179756*p^35*q^436+29700*p^33*q^438+20*p^31*q^440+12*p^58*q^412+9656*p^56*q^ 414+162462*p^54*q^416+3812422*p^52*q^418+53952199*p^50*q^420+595857618*p^48*q^ 422+4130992979*p^46*q^424+8474641072*p^44*q^426+3139008785*p^42*q^428+351505946 *p^40*q^430+23393953*p^38*q^432+1610850*p^36*q^434+34196*p^34*q^436+1644*p^32*q ^438+8*p^59*q^410+68*p^57*q^412+30064*p^55*q^414+767026*p^53*q^416+13312046*p^ 51*q^418+170865400*p^49*q^420+1606375252*p^47*q^422+7067927870*p^45*q^424+ 6456436948*p^43*q^426+1227674468*p^41*q^428+102485214*p^39*q^430+5936518*p^37*q ^432+280698*p^35*q^434+28232*p^33*q^436+124*p^31*q^438+20*p^58*q^410+7196*p^56* q^412+113500*p^54*q^414+3198720*p^52*q^416+45448044*p^50*q^418+520801149*p^48*q ^420+3682322214*p^46*q^422+8512385547*p^44*q^424+3392139038*p^42*q^426+ 405171556*p^40*q^428+27354574*p^38*q^430+1835729*p^36*q^432+22532*p^34*q^434+ 6464*p^32*q^436+220*p^57*q^410+30012*p^55*q^412+652858*p^53*q^414+11421052*p^51 *q^416+147396664*p^49*q^418+1419007214*p^47*q^420+6549713596*p^45*q^422+ 6771512718*p^43*q^424+1366795599*p^41*q^426+118822462*p^39*q^428+6771756*p^37*q ^430+403816*p^35*q^432+20184*p^33*q^434+32*p^31*q^436+104*p^58*q^408+1884*p^56* q^410+105766*p^54*q^412+2632918*p^52*q^414+39078978*p^50*q^416+443724442*p^48*q ^418+3327438139*p^46*q^420+8239836566*p^44*q^422+3743362707*p^42*q^424+ 462853958*p^40*q^426+33026900*p^38*q^428+2118368*p^36*q^430+44858*p^34*q^432+ 9568*p^32*q^434+4*p^30*q^436+126*p^57*q^408+32666*p^55*q^410+490206*p^53*q^412+ 9656099*p^51*q^414+125886966*p^49*q^416+1230097088*p^47*q^418+6151393898*p^45*q ^420+6963834767*p^43*q^422+1542205940*p^41*q^424+138110981*p^39*q^426+7903442*p ^37*q^428+544196*p^35*q^430+5058*p^33*q^432+664*p^31*q^434+8*p^58*q^406+1884*p^ 56*q^408+88256*p^54*q^410+2217236*p^52*q^412+33129308*p^50*q^414+385173044*p^48 *q^416+2946218102*p^46*q^418+8135806133*p^44*q^420+3998783710*p^42*q^422+ 533347137*p^40*q^424+38220780*p^38*q^426+2264958*p^36*q^428+71052*p^34*q^430+ 12248*p^32*q^432+568*p^57*q^406+17572*p^55*q^408+405998*p^53*q^410+8216632*p^51 *q^412+107167966*p^49*q^414+1083506944*p^47*q^416+5634437399*p^45*q^418+ 7226052806*p^43*q^420+1709250731*p^41*q^422+160724020*p^39*q^424+9577016*p^37*q ^426+677474*p^35*q^428+4446*p^33*q^430+1572*p^31*q^432+8*p^58*q^404+1144*p^56*q ^406+95416*p^54*q^408+1866068*p^52*q^410+28166972*p^50*q^412+330330322*p^48*q^ 414+2644462052*p^46*q^416+7783775108*p^44*q^418+4343958961*p^42*q^420+602776664 *p^40*q^422+45135522*p^38*q^424+2354654*p^36*q^426+117482*p^34*q^428+4976*p^32* q^430+16*p^30*q^432+244*p^57*q^404+11662*p^55*q^406+341988*p^53*q^408+6805105*p ^51*q^410+92561582*p^49*q^412+930194499*p^47*q^414+5232228778*p^45*q^416+ 7309212706*p^43*q^418+1924033246*p^41*q^420+186894666*p^39*q^422+11704150*p^37* q^424+873000*p^35*q^426+9022*p^33*q^428+3808*p^31*q^430+2*p^60*q^400+1812*p^56* q^404+82084*p^54*q^406+1442492*p^52*q^408+23977496*p^50*q^410+284011862*p^48*q^ 412+2329081088*p^46*q^414+7605623649*p^44*q^416+4605500736*p^42*q^418+689198685 *p^40*q^420+51749436*p^38*q^422+2659964*p^36*q^424+150940*p^34*q^426+420*p^32*q ^428+136*p^30*q^430+124*p^57*q^402+8992*p^55*q^404+275213*p^53*q^406+6008972*p^ 51*q^408+78672109*p^49*q^410+818542892*p^47*q^412+4740930701*p^45*q^414+ 7484378336*p^43*q^416+2109748277*p^41*q^418+215719756*p^39*q^420+13972178*p^37* q^422+872918*p^35*q^424+16382*p^33*q^426+3732*p^31*q^428+1948*p^56*q^402+57752* p^54*q^404+1267850*p^52*q^406+20111896*p^50*q^408+243448722*p^48*q^410+ 2072894162*p^46*q^412+7168985394*p^44*q^414+4965825373*p^42*q^416+775786816*p^ 40*q^418+61742683*p^38*q^420+3125162*p^36*q^422+256868*p^34*q^424+852*p^32*q^ 426+464*p^30*q^428+28*p^59*q^398+32*p^57*q^400+6030*p^55*q^402+262622*p^53*q^ 404+4829132*p^51*q^406+67648850*p^49*q^408+701706522*p^47*q^410+4355313684*p^45 *q^412+7464932734*p^43*q^414+2354315974*p^41*q^416+249641739*p^39*q^418+ 16426474*p^37*q^420+940640*p^35*q^422+24916*p^33*q^424+508*p^31*q^426+4*p^29*q^ 428+1076*p^56*q^400+47876*p^54*q^402+996889*p^52*q^404+17216074*p^50*q^406+ 209762838*p^48*q^408+1815806084*p^46*q^410+6904998228*p^44*q^412+5195156084*p^ 42*q^414+885727558*p^40*q^416+70645494*p^38*q^418+3888130*p^36*q^420+299920*p^ 34*q^422+1216*p^32*q^424+1388*p^30*q^426+8042*p^55*q^400+217952*p^53*q^402+ 4116582*p^51*q^404+57129094*p^49*q^406+615032156*p^47*q^408+3915973301*p^45*q^ 410+7536557090*p^43*q^412+2558961513*p^41*q^414+287722674*p^39*q^416+19359715*p ^37*q^418+893438*p^35*q^420+46796*p^33*q^422+40*p^31*q^424+12*p^29*q^426+159*p^ 58*q^396+652*p^56*q^398+30554*p^54*q^400+843132*p^52*q^402+14725752*p^50*q^404+ 179806214*p^48*q^406+1606299736*p^46*q^408+6439684284*p^44*q^410+5521922961*p^ 42*q^412+993967296*p^40*q^414+83103367*p^38*q^416+4803910*p^36*q^418+377630*p^ 34*q^420+3532*p^32*q^422+480*p^30*q^424+8*p^57*q^396+6108*p^55*q^398+188808*p^ 53*q^400+3413088*p^51*q^402+48494430*p^49*q^404+523542403*p^47*q^406+3571321462 *p^45*q^408+7415263688*p^43*q^410+2835993518*p^41*q^412+327953641*p^39*q^414+ 22933790*p^37*q^416+987360*p^35*q^418+70448*p^33*q^420+36*p^31*q^422+228*p^29*q ^424+52*p^58*q^394+48*p^56*q^396+28934*p^54*q^398+698200*p^52*q^400+12453384*p^ 50*q^402+154810559*p^48*q^404+1402968364*p^46*q^406+6112273707*p^44*q^408+ 5720806046*p^42*q^410+1121856184*p^40*q^412+97115712*p^38*q^414+5739510*p^36*q^ 416+378636*p^34*q^418+4966*p^32*q^420+470*p^57*q^394+5286*p^55*q^396+140546*p^ 53*q^398+2880932*p^51*q^400+41279810*p^49*q^402+457819000*p^47*q^404+3173374835 *p^45*q^406+7403006094*p^43*q^408+3053553054*p^41*q^410+379574726*p^39*q^412+ 26101582*p^37*q^414+1215390*p^35*q^416+105206*p^33*q^418+344*p^31*q^420+220*p^ 29*q^422+144*p^56*q^394+23936*p^54*q^396+624712*p^52*q^398+10489468*p^50*q^400+ 132095942*p^48*q^402+1233528452*p^46*q^404+5645583158*p^44*q^406+5992565362*p^ 42*q^408+1251547472*p^40*q^410+113419638*p^38*q^412+7101478*p^36*q^414+332316*p ^34*q^416+10876*p^32*q^418+12*p^28*q^422+572*p^57*q^392+1548*p^55*q^394+117768* p^53*q^396+2314191*p^51*q^398+35366006*p^49*q^400+390896121*p^47*q^402+ 2868877046*p^45*q^404+7155929733*p^43*q^406+3357528134*p^41*q^408+429778590*p^ 39*q^410+30637334*p^37*q^412+1481462*p^35*q^414+152342*p^33*q^416+438*p^31*q^ 418+803*p^56*q^392+24584*p^54*q^394+506414*p^52*q^396+8856988*p^50*q^398+ 112902413*p^48*q^400+1069740720*p^46*q^402+5300419336*p^44*q^404+6135174778*p^ 42*q^406+1407919088*p^40*q^408+131292980*p^38*q^410+8432834*p^36*q^412+333302*p ^34*q^414+16044*p^32*q^416+8*p^30*q^418+48*p^28*q^420+44*p^57*q^390+1192*p^55*q ^392+90450*p^53*q^394+1966942*p^51*q^396+30204446*p^49*q^398+340700166*p^47*q^ 400+2542216482*p^45*q^402+7044716334*p^43*q^404+3572482579*p^41*q^406+493050368 *p^39*q^408+35681157*p^37*q^410+1869808*p^35*q^412+143326*p^33*q^414+984*p^31*q ^416+2480*p^56*q^390+14828*p^54*q^392+433050*p^52*q^394+7548804*p^50*q^396+ 95556082*p^48*q^398+939772860*p^46*q^400+4827895910*p^44*q^402+6350949861*p^42* q^404+1558570046*p^40*q^406+153560351*p^38*q^408+9689322*p^36*q^410+347222*p^34 *q^412+39228*p^32*q^414+56*p^30*q^416+44*p^57*q^388+1362*p^55*q^390+81440*p^53* q^392+1643848*p^51*q^394+25343414*p^49*q^396+290751571*p^47*q^398+2272827768*p^ 45*q^400+6739408074*p^43*q^402+3886007900*p^41*q^404+557446647*p^39*q^406+ 42300422*p^37*q^408+2453368*p^35*q^410+149296*p^33*q^412+1214*p^31*q^414+4*p^27 *q^418+882*p^56*q^388+7856*p^54*q^390+358984*p^52*q^392+6178104*p^50*q^394+ 82733968*p^48*q^396+809372266*p^46*q^398+4495518070*p^44*q^400+6394971522*p^42* q^402+1740456326*p^40*q^404+175691748*p^38*q^406+11022885*p^36*q^408+399670*p^ 34*q^410+44960*p^32*q^412+44*p^30*q^414+5612*p^55*q^388+73582*p^53*q^390+ 1376692*p^51*q^392+21979051*p^49*q^394+251638260*p^47*q^396+2003472269*p^45*q^ 398+6535771230*p^43*q^400+4099713913*p^41*q^402+636664178*p^39*q^404+49644139*p ^37*q^406+3088040*p^35*q^408+111078*p^33*q^410+5784*p^31*q^412+4*p^29*q^414+552 *p^56*q^386+6654*p^54*q^388+271234*p^52*q^390+5242956*p^50*q^392+69629778*p^48* q^394+707619580*p^46*q^396+4051310136*p^44*q^398+6535360460*p^42*q^400+ 1911173094*p^40*q^402+203938941*p^38*q^404+12922946*p^36*q^406+543734*p^34*q^ 408+64264*p^32*q^410+48*p^30*q^412+5360*p^55*q^386+45656*p^53*q^388+1212078*p^ 51*q^390+18444108*p^49*q^392+214484340*p^47*q^394+1784158248*p^45*q^396+ 6175214693*p^43*q^398+4410370130*p^41*q^400+713694029*p^39*q^402+58796318*p^37* q^404+3536006*p^35*q^406+93460*p^33*q^408+8528*p^31*q^410+4*p^58*q^382+100*p^56 *q^384+9184*p^54*q^386+252154*p^52*q^388+4282576*p^50*q^390+60039053*p^48*q^392 +610031040*p^46*q^394+3721907789*p^44*q^396+6493679096*p^42*q^398+2117225451*p^ 40*q^400+233360128*p^38*q^402+14805763*p^36*q^404+796730*p^34*q^406+57106*p^32* q^408+386*p^30*q^410+3452*p^55*q^384+36902*p^53*q^386+972912*p^51*q^388+ 15677858*p^49*q^390+184884304*p^47*q^392+1558573235*p^45*q^394+5918784352*p^43* q^396+4599029822*p^41*q^398+814728314*p^39*q^400+68113035*p^37*q^402+4102658*p^ 35*q^404+93314*p^33*q^406+15932*p^31*q^408+15956*p^54*q^384+198590*p^52*q^386+ 3666046*p^50*q^388+51099272*p^48*q^390+533222886*p^46*q^392+3337440782*p^44*q^ 394+6532646023*p^42*q^396+2306461158*p^40*q^398+268244366*p^38*q^400+17851490*p ^36*q^402+1043130*p^34*q^404+39216*p^32*q^406+1114*p^30*q^408+48*p^57*q^380+ 1788*p^55*q^382+25616*p^53*q^384+810552*p^51*q^386+13123978*p^49*q^388+ 156879491*p^47*q^390+1374508284*p^45*q^392+5508996442*p^43*q^394+4881329164*p^ 41*q^396+908367787*p^39*q^398+80930496*p^37*q^400+4578557*p^35*q^402+142514*p^ 33*q^404+24436*p^31*q^406+8*p^29*q^408+36*p^56*q^380+13556*p^54*q^382+161073*p^ 52*q^384+3076282*p^50*q^386+43652139*p^48*q^388+456454620*p^46*q^390+3050890051 *p^44*q^392+6411868606*p^42*q^394+2539469951*p^40*q^396+304988378*p^38*q^398+ 20937875*p^36*q^400+1271768*p^34*q^402+24244*p^32*q^404+1724*p^30*q^406+8*p^57* q^378+128*p^55*q^380+35852*p^53*q^382+681814*p^51*q^384+11071548*p^49*q^386+ 135779440*p^47*q^388+1201008962*p^45*q^390+5207428788*p^43*q^392+5021654705*p^ 41*q^394+1023332178*p^39*q^396+92596636*p^37*q^398+5247434*p^35*q^400+223156*p^ 33*q^402+18652*p^31*q^404+96*p^29*q^406+224*p^56*q^378+11885*p^54*q^380+115212* p^52*q^382+2633554*p^50*q^384+37082314*p^48*q^386+396454719*p^46*q^388+ 2698436494*p^44*q^390+6385832072*p^42*q^392+2737472700*p^40*q^394+353141682*p^ 38*q^396+25409732*p^36*q^398+1512506*p^34*q^400+17772*p^32*q^402+6300*p^30*q^ 404+528*p^55*q^378+35822*p^53*q^380+573232*p^51*q^382+9127564*p^49*q^384+ 115119951*p^47*q^386+1055296248*p^45*q^388+4805588432*p^43*q^390+5259118710*p^ 41*q^392+1138065025*p^39*q^394+107667998*p^37*q^396+6000894*p^35*q^398+330432*p ^33*q^400+14640*p^31*q^402+44*p^29*q^404+168*p^56*q^376+3240*p^54*q^378+103446* p^52*q^380+2154240*p^50*q^382+31877715*p^48*q^384+339120088*p^46*q^386+ 2441406711*p^44*q^388+6157480072*p^42*q^390+2997536386*p^40*q^392+396927690*p^ 38*q^394+29967919*p^36*q^396+1689434*p^34*q^398+30166*p^32*q^400+6052*p^30*q^ 402+4*p^28*q^404+580*p^55*q^376+42616*p^53*q^378+460092*p^51*q^380+7813974*p^49 *q^382+99282036*p^47*q^384+916670127*p^45*q^386+4496798516*p^43*q^388+ 5346696679*p^41*q^390+1273006888*p^39*q^392+123947434*p^37*q^394+7176616*p^35*q ^396+424112*p^33*q^398+3840*p^31*q^400+808*p^29*q^402+12*p^56*q^374+3470*p^54*q ^376+94522*p^52*q^378+1832676*p^50*q^380+26652108*p^48*q^382+293801914*p^46*q^ 384+2151378192*p^44*q^386+6026828161*p^42*q^388+3188537004*p^40*q^390+458535344 *p^38*q^392+35302002*p^36*q^394+1878436*p^34*q^396+60088*p^32*q^398+7358*p^30*q ^400+1088*p^55*q^374+24788*p^53*q^376+365204*p^51*q^378+6584522*p^49*q^380+ 84166561*p^47*q^382+802899092*p^45*q^384+4099399831*p^43*q^386+5536119162*p^41* q^388+1408511865*p^39*q^390+143017098*p^37*q^392+8772440*p^35*q^394+529228*p^33 *q^396+2578*p^31*q^398+1316*p^29*q^400+8*p^56*q^372+2124*p^54*q^374+101889*p^52 *q^376+1546718*p^50*q^378+22361157*p^48*q^380+251298712*p^46*q^382+1930716675*p ^44*q^384+5758310010*p^42*q^386+3439798684*p^40*q^388+511967882*p^38*q^390+ 41787974*p^36*q^392+2001032*p^34*q^394+90058*p^32*q^396+2988*p^30*q^398+30*p^28 *q^400+328*p^55*q^372+16398*p^53*q^374+321906*p^51*q^376+5528198*p^49*q^378+ 73166210*p^47*q^380+692189714*p^45*q^382+3797113234*p^43*q^384+5545290320*p^41* q^386+1570723370*p^39*q^388+164974475*p^37*q^390+10309998*p^35*q^392+650486*p^ 33*q^394+6328*p^31*q^396+1992*p^29*q^398+3372*p^54*q^372+96698*p^52*q^374+ 1235390*p^50*q^376+18998344*p^48*q^378+216005572*p^46*q^380+1691742662*p^44*q^ 382+5564594458*p^42*q^384+3630926486*p^40*q^386+584942153*p^38*q^388+47813164*p ^36*q^390+2450462*p^34*q^392+121486*p^32*q^394+268*p^30*q^396+204*p^28*q^398+ 198*p^55*q^370+13548*p^53*q^372+260092*p^51*q^374+4725842*p^49*q^376+61447738*p ^47*q^378+604589578*p^45*q^380+3422910842*p^43*q^382+5656870322*p^41*q^384+ 1721902925*p^39*q^386+190542238*p^37*q^388+13020258*p^35*q^390+652904*p^33*q^ 392+14400*p^31*q^394+1782*p^29*q^396+2736*p^54*q^370+66104*p^52*q^372+1069816*p ^50*q^374+15953744*p^48*q^376+185061172*p^46*q^378+1507941491*p^44*q^380+ 5242018602*p^42*q^382+3882026204*p^40*q^384+651084650*p^38*q^386+56040437*p^36* q^388+2675154*p^34*q^390+191882*p^32*q^392+304*p^30*q^394+236*p^28*q^396+2*p^57 *q^366+24*p^55*q^368+8364*p^53*q^370+265276*p^51*q^372+3910483*p^49*q^374+ 52711644*p^47*q^376+521458044*p^45*q^378+3139077572*p^43*q^380+5588183008*p^41* q^382+1902701670*p^39*q^384+217963296*p^37*q^386+15163478*p^35*q^388+751955*p^ 33*q^390+17484*p^31*q^392+168*p^29*q^394+16*p^27*q^396+1838*p^54*q^368+62788*p^ 52*q^370+872549*p^50*q^372+13573806*p^48*q^374+160092537*p^46*q^376+1313078040* p^44*q^378+5000312220*p^42*q^380+4037536340*p^40*q^382+741800790*p^38*q^384+ 64253816*p^36*q^386+3477829*p^34*q^388+218812*p^32*q^390+1496*p^30*q^392+596*p^ 28*q^394+11068*p^53*q^368+211144*p^51*q^370+3263392*p^49*q^372+43968819*p^47*q^ 374+451324884*p^45*q^376+2806394390*p^43*q^378+5626068304*p^41*q^380+2067625965 *p^39*q^382+251574710*p^37*q^384+18110680*p^35*q^386+766578*p^33*q^388+37536*p^ 31*q^390+4*p^29*q^392+6*p^27*q^394+24*p^56*q^364+664*p^54*q^366+35056*p^52*q^ 368+749512*p^50*q^370+11516290*p^48*q^372+136601556*p^46*q^374+1165417701*p^44* q^376+4660135582*p^42*q^378+4265228769*p^40*q^380+823767566*p^38*q^382+74880121 *p^36*q^384+4282658*p^34*q^386+245254*p^32*q^388+1756*p^30*q^390+90*p^28*q^392+ 8*p^55*q^364+9374*p^53*q^366+208148*p^51*q^368+2771958*p^49*q^370+37858736*p^47 *q^372+388112457*p^45*q^374+2553657326*p^43*q^376+5472600875*p^41*q^378+ 2266805388*p^39*q^380+283418210*p^37*q^382+21062408*p^35*q^384+821612*p^33*q^ 386+59114*p^31*q^388+68*p^29*q^390+106*p^27*q^392+4*p^56*q^362+56*p^54*q^364+ 34920*p^52*q^366+615636*p^50*q^368+9688684*p^48*q^370+116630335*p^46*q^372+ 1009440266*p^44*q^374+4384253782*p^42*q^376+4389221812*p^40*q^378+930879664*p^ 38*q^380+88033230*p^36*q^382+5355248*p^34*q^384+277742*p^32*q^386+3996*p^30*q^ 388+112*p^55*q^362+6464*p^53*q^364+153730*p^51*q^366+2340058*p^49*q^368+ 31630284*p^47*q^370+337577630*p^45*q^372+2262110124*p^43*q^374+5442069444*p^41* q^376+2432248348*p^39*q^378+325321492*p^37*q^380+23944847*p^35*q^382+1042510*p^ 33*q^384+69180*p^31*q^386+148*p^29*q^388+22*p^27*q^390+156*p^54*q^362+30792*p^ 52*q^364+570276*p^50*q^366+8085714*p^48*q^368+99700882*p^46*q^370+888430243*p^ 44*q^372+4040992620*p^42*q^374+4570845717*p^40*q^376+1030408544*p^38*q^378+ 101649214*p^36*q^380+6546944*p^34*q^382+245868*p^32*q^384+10540*p^30*q^386+8*p^ 26*q^390+84*p^55*q^360+1612*p^53*q^362+120824*p^51*q^364+1920238*p^49*q^366+ 27345808*p^47*q^368+288409086*p^45*q^370+2041904192*p^43*q^372+5227753840*p^41* q^374+2649018972*p^39*q^376+364998174*p^37*q^378+28360570*p^35*q^380+1320456*p^ 33*q^382+92236*p^31*q^384+180*p^29*q^386+288*p^54*q^360+31582*p^52*q^362+504348 *p^50*q^364+6891042*p^48*q^366+85005483*p^46*q^368+769533440*p^44*q^370+ 3760891082*p^42*q^372+4632864658*p^40*q^374+1154174996*p^38*q^376+117619788*p^ 36*q^378+7540256*p^34*q^380+258086*p^32*q^382+14714*p^30*q^384+4*p^28*q^386+2*p ^26*q^388+6*p^55*q^358+1448*p^53*q^360+98109*p^51*q^362+1596302*p^49*q^364+ 22772656*p^47*q^366+249036694*p^45*q^368+1794696172*p^43*q^370+5110092098*p^41* q^372+2823608943*p^39*q^374+419059654*p^37*q^376+33027116*p^35*q^378+1801230*p^ 33*q^380+91624*p^31*q^382+1084*p^29*q^384+560*p^54*q^358+15898*p^52*q^360+ 404642*p^50*q^362+5834600*p^48*q^364+71859762*p^46*q^366+675274090*p^44*q^368+ 3429291264*p^42*q^370+4773943967*p^40*q^372+1262929582*p^38*q^374+135391962*p^ 36*q^376+8812894*p^34*q^378+260812*p^32*q^380+24108*p^30*q^382+4*p^28*q^384+4*p ^55*q^356+968*p^53*q^358+95772*p^51*q^360+1441896*p^49*q^362+19378270*p^47*q^ 364+214328421*p^45*q^366+1610001418*p^43*q^368+4850159592*p^41*q^370+3024875722 *p^39*q^372+470212595*p^37*q^374+38985408*p^35*q^376+2151033*p^33*q^378+92924*p ^31*q^380+1840*p^29*q^382+164*p^54*q^356+9576*p^52*q^358+349380*p^50*q^360+ 4793500*p^48*q^362+61852193*p^46*q^364+578634674*p^44*q^366+3157784470*p^42*q^ 368+4764354684*p^40*q^370+1413277940*p^38*q^372+154453374*p^36*q^374+10366918*p ^34*q^376+415992*p^32*q^378+26476*p^30*q^380+52*p^28*q^382+2*p^57*q^352+1872*p^ 53*q^356+78764*p^51*q^358+1173830*p^49*q^360+16387193*p^47*q^362+182970646*p^45 *q^364+1408383067*p^43*q^366+4689035420*p^41*q^368+3189604201*p^39*q^370+ 533041062*p^37*q^372+45789574*p^35*q^374+2653776*p^33*q^376+65360*p^31*q^378+ 5016*p^29*q^380+92*p^54*q^354+6648*p^52*q^356+265542*p^50*q^358+4146790*p^48*q^ 360+51960316*p^46*q^362+507325265*p^44*q^364+2849227902*p^42*q^366+4841320218*p ^40*q^368+1534843676*p^38*q^370+177520672*p^36*q^372+11805158*p^34*q^374+512907 *p^32*q^376+32452*p^30*q^378+96*p^28*q^380+1350*p^53*q^354+50848*p^51*q^356+ 1083462*p^49*q^358+13872530*p^47*q^360+157079357*p^45*q^362+1254119384*p^43*q^ 364+4388605927*p^41*q^366+3395292646*p^39*q^368+593628575*p^37*q^370+53831932*p ^35*q^372+3151388*p^33*q^374+74224*p^31*q^376+5720*p^29*q^378+28*p^56*q^350+12* p^54*q^352+5344*p^52*q^354+257887*p^50*q^356+3393446*p^48*q^358+44567099*p^46*q ^360+434713760*p^44*q^362+2596593710*p^42*q^364+4764084714*p^40*q^366+ 1697032469*p^38*q^368+203088488*p^36*q^370+14040278*p^34*q^372+694082*p^32*q^ 374+31930*p^30*q^376+640*p^28*q^378+860*p^53*q^352+38364*p^51*q^354+845016*p^49 *q^356+11668034*p^47*q^358+134273672*p^45*q^360+1089622343*p^43*q^362+ 4183186276*p^41*q^364+3526839219*p^39*q^366+674418194*p^37*q^368+61796264*p^35* q^370+3660072*p^33*q^372+105745*p^31*q^374+6932*p^29*q^376+5786*p^52*q^352+ 197904*p^50*q^354+2957108*p^48*q^356+37457834*p^46*q^358+379217153*p^44*q^360+ 2325793830*p^42*q^362+4772520985*p^40*q^364+1832121010*p^38*q^366+230744162*p^ 36*q^368+16738708*p^34*q^370+871474*p^32*q^372+16144*p^30*q^374+1176*p^28*q^376 +158*p^55*q^348+334*p^53*q^350+23174*p^51*q^352+742569*p^49*q^354+9920298*p^47* q^356+114633107*p^45*q^358+964622238*p^43*q^360+3876212120*p^41*q^362+ 3699169212*p^39*q^364+745763676*p^37*q^366+72510524*p^35*q^368+4140914*p^33*q^ 370+136218*p^31*q^372+12058*p^29*q^374+28*p^27*q^376+4*p^54*q^348+4604*p^52*q^ 350+160914*p^50*q^352+2523426*p^48*q^354+31980676*p^46*q^356+323692844*p^44*q^ 358+2106789414*p^42*q^360+4632118060*p^40*q^362+2010727830*p^38*q^364+261478844 *p^36*q^366+19946358*p^34*q^368+1080220*p^32*q^370+19276*p^30*q^372+808*p^28*q^ 374+48*p^55*q^346+28*p^53*q^348+22212*p^51*q^350+621842*p^49*q^352+8283451*p^47 *q^354+97434466*p^45*q^356+834407899*p^43*q^358+3639559262*p^41*q^360+ 3800223215*p^39*q^362+838476156*p^37*q^364+83758079*p^35*q^366+4884586*p^33*q^ 368+212823*p^31*q^370+8120*p^29*q^372+204*p^27*q^374+460*p^54*q^346+3180*p^52*q ^348+108778*p^50*q^350+2133249*p^48*q^352+26893106*p^46*q^354+281467584*p^44*q^ 356+1867496182*p^42*q^358+4590655165*p^40*q^360+2150625366*p^38*q^362+298566352 *p^36*q^364+23295436*p^34*q^366+1230160*p^32*q^368+18258*p^30*q^370+2412*p^28*q ^372+78*p^53*q^346+16732*p^51*q^348+527958*p^49*q^350+7041808*p^47*q^352+ 83511007*p^45*q^354+734385398*p^43*q^356+3338392829*p^41*q^358+3927230132*p^39* q^360+922631955*p^37*q^362+95803202*p^35*q^364+5729450*p^33*q^366+272032*p^31*q ^368+4248*p^29*q^370+36*p^27*q^372+520*p^54*q^344+804*p^52*q^346+92188*p^50*q^ 348+1834136*p^48*q^350+23092456*p^46*q^352+239502784*p^44*q^354+1676628934*p^42 *q^356+4383811344*p^40*q^358+2338937823*p^38*q^360+336446996*p^36*q^362+ 28184251*p^34*q^364+1475426*p^32*q^366+40974*p^30*q^368+3260*p^28*q^370+16*p^26 *q^372+762*p^53*q^344+16137*p^51*q^346+405618*p^49*q^348+5848624*p^47*q^350+ 70615648*p^45*q^352+633240122*p^43*q^354+3103642506*p^41*q^356+3979473686*p^39* q^358+1033299218*p^37*q^360+109430259*p^35*q^362+6857120*p^33*q^364+330414*p^31 *q^366+1920*p^29*q^368+248*p^27*q^370+40*p^54*q^342+712*p^52*q^344+64428*p^50*q ^346+1540282*p^48*q^348+19459570*p^46*q^350+207110265*p^44*q^352+1477848852*p^ 42*q^354+4278475165*p^40*q^356+2472314612*p^38*q^358+381336359*p^36*q^360+ 32707846*p^34*q^362+1653507*p^32*q^364+57854*p^30*q^366+1568*p^28*q^368+2192*p^ 53*q^342+8160*p^51*q^344+337086*p^49*q^346+5182460*p^47*q^348+59937244*p^45*q^ 350+556958298*p^43*q^352+2816531458*p^41*q^354+4068481822*p^39*q^356+1128424343 *p^37*q^358+126036626*p^35*q^360+8197904*p^33*q^362+405680*p^31*q^364+4844*p^29 *q^366+700*p^27*q^368+40*p^54*q^340+1104*p^52*q^342+56435*p^50*q^344+1278798*p^ 48*q^346+16121509*p^46*q^348+176280304*p^44*q^350+1313036928*p^42*q^352+ 4037375952*p^40*q^354+2654713043*p^38*q^356+428097164*p^36*q^358+38599300*p^34* q^360+1900984*p^32*q^362+79376*p^30*q^364+460*p^28*q^366+12*p^26*q^368+760*p^53 *q^340+4748*p^51*q^342+268310*p^49*q^344+4317853*p^47*q^346+51729112*p^45*q^348 +476126152*p^43*q^350+2596867306*p^41*q^352+4058996543*p^39*q^354+1257166374*p^ 37*q^356+143419920*p^35*q^358+9988766*p^33*q^360+513659*p^31*q^362+9866*p^29*q^ 364+508*p^27*q^366+p^56*q^336+4692*p^52*q^340+43208*p^50*q^342+1028892*p^48*q^ 344+13818254*p^46*q^346+151058382*p^44*q^348+1151961272*p^42*q^350+3882679539*p ^40*q^352+2775035192*p^38*q^354+481957157*p^36*q^356+43946064*p^34*q^358+ 2237145*p^32*q^360+89500*p^30*q^362+210*p^28*q^364+76*p^26*q^366+492*p^53*q^338 +4144*p^51*q^340+194204*p^49*q^342+3719144*p^47*q^344+43428679*p^45*q^346+ 416384486*p^43*q^348+2330539943*p^41*q^350+4100286720*p^39*q^352+1365104074*p^ 37*q^354+164521538*p^35*q^356+12220886*p^33*q^358+545222*p^31*q^360+15686*p^29* q^362+184*p^27*q^364+4364*p^52*q^338+27228*p^50*q^340+917162*p^48*q^342+ 11807282*p^46*q^344+128843838*p^44*q^346+1021983060*p^42*q^348+3623002740*p^40* q^350+2940802488*p^38*q^352+535506134*p^36*q^354+51057250*p^34*q^356+2608986*p^ 32*q^358+133551*p^30*q^360+1164*p^28*q^362+96*p^26*q^364+14*p^55*q^334+84*p^53* q^336+6824*p^51*q^338+164418*p^49*q^340+2983586*p^47*q^342+36612860*p^45*q^344+ 355610486*p^43*q^346+2116518544*p^41*q^348+4024515248*p^39*q^350+1509924810*p^ 37*q^352+187415061*p^35*q^354+14650396*p^33*q^356+659228*p^31*q^358+20408*p^29* q^360+4*p^25*q^364+2956*p^52*q^336+21288*p^50*q^338+688205*p^48*q^340+10052044* p^46*q^342+110815638*p^44*q^344+888599484*p^42*q^346+3452246174*p^40*q^348+ 3046958412*p^38*q^350+602285293*p^36*q^352+58144690*p^34*q^354+3252285*p^32*q^ 356+153178*p^30*q^358+1876*p^28*q^360+44*p^26*q^362+11824*p^51*q^336+118962*p^ 49*q^338+2613678*p^47*q^340+31192038*p^45*q^342+309810514*p^43*q^344+1892402070 *p^41*q^346+3993885674*p^39*q^348+1617882251*p^37*q^350+213261280*p^35*q^352+ 16936418*p^33*q^354+668976*p^31*q^356+24742*p^29*q^358+68*p^27*q^360+8*p^25*q^ 362+79*p^54*q^332+1468*p^52*q^334+16210*p^50*q^336+569982*p^48*q^338+8484510*p^ 46*q^340+93762684*p^44*q^342+781183080*p^42*q^344+3172110728*p^40*q^346+ 3190927756*p^38*q^348+670659482*p^36*q^350+68051812*p^34*q^352+4231666*p^32*q^ 354+202023*p^30*q^356+4996*p^28*q^358+32*p^53*q^332+10816*p^51*q^334+93788*p^49 *q^336+2128919*p^47*q^338+26440824*p^45*q^340+262692438*p^43*q^342+1710308682*p ^41*q^344+3878733289*p^39*q^346+1770435448*p^37*q^348+238421977*p^35*q^350+ 19931494*p^33*q^352+765118*p^31*q^354+33370*p^29*q^356+84*p^27*q^358+4*p^25*q^ 360+24*p^54*q^330+104*p^52*q^332+22688*p^50*q^334+435450*p^48*q^336+7144606*p^ 46*q^338+80007731*p^44*q^340+679590740*p^42*q^342+2979427113*p^40*q^344+ 3250372108*p^38*q^346+749217388*p^36*q^348+78282122*p^34*q^350+5088010*p^32*q^ 352+204746*p^30*q^354+4129*p^28*q^356+230*p^53*q^330+9356*p^51*q^332+67030*p^49 *q^334+1804752*p^47*q^336+22507654*p^45*q^338+229136012*p^43*q^340+1508498607*p ^41*q^342+3812511588*p^39*q^344+1885810849*p^37*q^346+271056598*p^35*q^348+ 22626290*p^33*q^350+1019272*p^31*q^352+50789*p^29*q^354+724*p^27*q^356+456*p^52 *q^330+25496*p^50*q^332+350578*p^48*q^334+6004579*p^46*q^336+67802008*p^44*q^ 338+592470713*p^42*q^340+2718077022*p^40*q^342+3356249960*p^38*q^344+826341568* p^36*q^346+90320072*p^34*q^348+6297798*p^32*q^350+192354*p^30*q^352+5252*p^28*q ^354+260*p^53*q^328+2482*p^51*q^330+60128*p^49*q^332+1433112*p^47*q^334+ 19149864*p^45*q^336+193759831*p^43*q^338+1353311426*p^41*q^340+3633734529*p^39* q^342+2047782996*p^37*q^344+303349016*p^35*q^346+26718102*p^33*q^348+1267381*p^ 31*q^350+67096*p^29*q^352+1073*p^27*q^354+427*p^52*q^328+31204*p^50*q^330+ 261222*p^48*q^332+5025186*p^46*q^334+57912062*p^44*q^336+512289210*p^42*q^338+ 2522061264*p^40*q^340+3379356212*p^38*q^342+918839253*p^36*q^344+102075836*p^34 *q^346+7307624*p^32*q^348+235176*p^30*q^350+7902*p^28*q^352+32*p^26*q^354+20*p^ 53*q^326+2848*p^51*q^328+56440*p^49*q^330+1171050*p^47*q^332+16269675*p^45*q^ 334+167645716*p^43*q^336+1189007573*p^41*q^338+3519373426*p^39*q^340+2152121271 *p^37*q^342+343384124*p^35*q^344+31240003*p^33*q^346+1666098*p^31*q^348+53624*p ^29*q^350+552*p^27*q^352+1096*p^52*q^326+17596*p^50*q^328+211528*p^48*q^330+ 4258442*p^46*q^332+48782036*p^44*q^334+446899203*p^42*q^336+2276497248*p^40*q^ 338+3439569417*p^38*q^340+1005552968*p^36*q^342+117540188*p^34*q^344+8466018*p^ 32*q^346+275467*p^30*q^348+17966*p^28*q^350+228*p^26*q^352+20*p^53*q^324+1598*p ^51*q^326+67352*p^49*q^328+929269*p^47*q^330+13524478*p^45*q^332+142084733*p^43 *q^334+1056286724*p^41*q^336+3317836195*p^39*q^338+2304811038*p^37*q^340+ 384267292*p^35*q^342+36339624*p^33*q^344+2121650*p^31*q^346+63780*p^29*q^348+ 594*p^27*q^350+380*p^52*q^324+12448*p^50*q^326+178552*p^48*q^328+3461612*p^46*q ^330+42049378*p^44*q^332+382460648*p^42*q^334+2092885718*p^40*q^336+3415686528* p^38*q^338+1112459437*p^36*q^340+131451330*p^34*q^342+10042266*p^32*q^344+ 357834*p^30*q^346+14456*p^28*q^348+28*p^26*q^350+2476*p^51*q^324+62474*p^49*q^ 326+709860*p^47*q^328+11608741*p^45*q^330+121923226*p^43*q^332+924662197*p^41*q ^334+3175904292*p^39*q^336+2397006852*p^37*q^338+431970606*p^35*q^340+42122191* p^33*q^342+2509210*p^31*q^344+63164*p^29*q^346+3116*p^27*q^348+20*p^25*q^350+ 268*p^52*q^322+10486*p^50*q^324+154112*p^48*q^326+2957311*p^46*q^328+35422340*p ^44*q^330+332683886*p^42*q^332+1866578412*p^40*q^334+3421841492*p^38*q^336+ 1209063224*p^36*q^338+150442294*p^34*q^340+11807748*p^32*q^342+490330*p^30*q^ 344+17946*p^28*q^346+22*p^26*q^348+2284*p^51*q^322+44102*p^49*q^324+598096*p^47 *q^326+9484428*p^45*q^328+102997733*p^43*q^330+814162806*p^41*q^332+2954171270* p^39*q^334+2544399658*p^37*q^336+479920137*p^35*q^338+49145996*p^33*q^340+ 3068400*p^31*q^342+73200*p^29*q^344+3462*p^27*q^346+42*p^52*q^320+5564*p^50*q^ 322+154230*p^48*q^324+2298818*p^46*q^326+30348972*p^44*q^328+285106084*p^42*q^ 330+1702831296*p^40*q^332+3349351008*p^38*q^334+1322064362*p^36*q^336+168366400 *p^34*q^338+13740962*p^32*q^340+613350*p^30*q^342+17076*p^28*q^344+268*p^26*q^ 346+1728*p^51*q^320+44376*p^49*q^322+490230*p^47*q^324+8171361*p^45*q^326+ 88867424*p^43*q^328+708085913*p^41*q^330+2786688262*p^39*q^332+2604000713*p^37* q^334+540598242*p^35*q^336+55573437*p^33*q^338+3583670*p^31*q^340+95844*p^29*q^ 342+3840*p^27*q^344+7464*p^50*q^320+125364*p^48*q^322+1862665*p^46*q^324+ 25164200*p^44*q^326+245932755*p^42*q^328+1507495030*p^40*q^330+3317341796*p^38* q^332+1426873140*p^36*q^334+192312926*p^34*q^336+16474744*p^32*q^338+859194*p^ 30*q^340+15432*p^28*q^342+686*p^26*q^344+760*p^51*q^318+24994*p^49*q^320+414474 *p^47*q^322+6798244*p^45*q^324+75274062*p^43*q^326+620926318*p^41*q^328+ 2565647851*p^39*q^330+2720048774*p^37*q^332+596553913*p^35*q^334+63591438*p^33* q^336+4177688*p^31*q^338+109422*p^29*q^340+4977*p^27*q^342+8*p^25*q^344+16*p^52 *q^316+6640*p^50*q^318+126133*p^48*q^320+1529580*p^46*q^322+21397434*p^44*q^324 +208802254*p^42*q^326+1363211256*p^40*q^328+3194329470*p^38*q^330+1551672671*p^ 36*q^332+214360524*p^34*q^334+19630604*p^32*q^336+1006148*p^30*q^338+22114*p^28 *q^340+456*p^26*q^342+52*p^51*q^316+22770*p^49*q^318+339948*p^47*q^320+5564248* p^45*q^322+64390688*p^43*q^324+538344776*p^41*q^326+2390976424*p^39*q^328+ 2757208779*p^37*q^330+665721340*p^35*q^332+72207440*p^33*q^334+4891778*p^31*q^ 336+183084*p^29*q^338+2740*p^27*q^340+86*p^25*q^342+5440*p^50*q^316+99872*p^48* q^318+1297712*p^46*q^320+18030358*p^44*q^322+180993401*p^42*q^324+1194674104*p^ 40*q^326+3124728190*p^38*q^328+1645998910*p^36*q^330+243838379*p^34*q^332+ 22634448*p^32*q^334+1216980*p^30*q^336+15980*p^28*q^338+1201*p^26*q^340+228*p^ 51*q^314+18624*p^49*q^316+307846*p^47*q^318+4501036*p^45*q^320+54128072*p^43*q^ 322+467736320*p^41*q^324+2178458404*p^39*q^326+2833954798*p^37*q^328+735713591* p^35*q^330+82581756*p^33*q^332+6043534*p^31*q^334+256802*p^29*q^336+5688*p^27*q ^338+16*p^25*q^340+1332*p^50*q^314+79792*p^48*q^316+1030322*p^46*q^318+15197954 *p^44*q^320+153722792*p^42*q^322+1072055958*p^40*q^324+2968388662*p^38*q^326+ 1778477648*p^36*q^328+270484462*p^34*q^330+26042886*p^32*q^332+1405240*p^30*q^ 334+24700*p^28*q^336+484*p^26*q^338+4*p^24*q^340+28*p^51*q^312+21072*p^49*q^314 +277568*p^47*q^316+3792920*p^45*q^318+46434616*p^43*q^320+403464953*p^41*q^322+ 2010109008*p^39*q^324+2832323434*p^37*q^326+812740008*p^35*q^328+92569310*p^33* q^330+7300120*p^31*q^332+308246*p^29*q^334+3620*p^27*q^336+187*p^25*q^338+1464* p^50*q^312+60792*p^48*q^314+851560*p^46*q^316+12637466*p^44*q^318+131598168*p^ 42*q^320+935696700*p^40*q^322+2854304628*p^38*q^324+1866055260*p^36*q^326+ 308928598*p^34*q^328+30278420*p^32*q^330+1648154*p^30*q^332+51280*p^28*q^334+ 918*p^26*q^336+18*p^51*q^310+10728*p^49*q^312+240852*p^47*q^314+3119602*p^45*q^ 316+38506576*p^43*q^318+350698700*p^41*q^320+1807315028*p^39*q^322+2878959596*p ^37*q^324+891069712*p^35*q^326+105202912*p^33*q^328+8659804*p^31*q^330+396900*p ^29*q^332+1856*p^27*q^334+88*p^25*q^336+612*p^50*q^310+55898*p^48*q^312+718956* p^46*q^314+10478088*p^44*q^316+112799494*p^42*q^318+831106296*p^40*q^320+ 2687122002*p^38*q^322+1981037184*p^36*q^324+342002730*p^34*q^326+34633572*p^32* q^328+1992222*p^30*q^330+63930*p^28*q^332+1224*p^26*q^334+14*p^24*q^336+7058*p^ 49*q^310+212260*p^47*q^312+2568894*p^45*q^314+33090520*p^43*q^316+299218794*p^ 41*q^318+1655136094*p^39*q^320+2825089154*p^37*q^322+981605490*p^35*q^324+ 117830552*p^33*q^326+10328482*p^31*q^328+445200*p^29*q^330+6456*p^27*q^332+62*p ^25*q^334+306*p^50*q^308+47212*p^48*q^310+612526*p^46*q^312+8763522*p^44*q^314+ 95729047*p^42*q^316+722275852*p^40*q^318+2548654662*p^38*q^320+2059384384*p^36* q^322+386940966*p^34*q^324+39328894*p^32*q^326+2513864*p^30*q^328+96388*p^28*q^ 330+60*p^26*q^332+8*p^24*q^334+12*p^51*q^306+5160*p^49*q^308+152774*p^47*q^310+ 2100994*p^45*q^312+27387704*p^43*q^314+259279658*p^41*q^316+1473158616*p^39*q^ 318+2836358350*p^37*q^320+1063561769*p^35*q^322+134257026*p^33*q^324+12102880*p ^31*q^326+512058*p^29*q^328+9880*p^27*q^330+272*p^25*q^332+72*p^50*q^306+29590* p^48*q^308+582216*p^46*q^310+7279931*p^44*q^312+81096328*p^42*q^314+637588703*p ^40*q^316+2365677866*p^38*q^318+2162674384*p^36*q^320+426779350*p^34*q^322+ 44569369*p^32*q^324+3097188*p^30*q^326+115176*p^28*q^328+448*p^26*q^330+2*p^24* q^332+2542*p^49*q^306+146308*p^47*q^308+1685658*p^45*q^310+23389510*p^43*q^312+ 222105373*p^41*q^314+1333650280*p^39*q^316+2747720296*p^37*q^318+1162053798*p^ 35*q^320+151463581*p^33*q^322+14098336*p^31*q^324+598406*p^29*q^326+18892*p^27* q^328+140*p^50*q^304+24740*p^48*q^306+465204*p^46*q^308+6059844*p^44*q^310+ 68917279*p^42*q^312+548988102*p^40*q^314+2219057936*p^38*q^316+2210202260*p^36* q^318+481504362*p^34*q^320+49854836*p^32*q^322+3825088*p^30*q^324+138958*p^28*q ^326+868*p^26*q^328+24*p^24*q^330+1492*p^49*q^304+108270*p^47*q^306+1448826*p^ 45*q^308+19275865*p^43*q^310+191119572*p^41*q^312+1179452085*p^39*q^314+ 2709246996*p^37*q^316+1246886238*p^35*q^318+171993046*p^33*q^320+16390272*p^31* q^322+778318*p^29*q^324+24772*p^27*q^326+12*p^25*q^328+16*p^50*q^302+14459*p^48 *q^304+400580*p^46*q^306+4950131*p^44*q^308+58117584*p^42*q^310+482103856*p^40* q^312+2036445702*p^38*q^314+2294271607*p^36*q^316+530186646*p^34*q^318+56673248 *p^32*q^320+4548052*p^30*q^322+140794*p^28*q^324+2820*p^26*q^326+758*p^49*q^302 +87008*p^47*q^304+1260342*p^45*q^306+16374068*p^43*q^308+162803348*p^41*q^310+ 1061878048*p^39*q^312+2592602596*p^37*q^314+1345933888*p^35*q^316+191522460*p^ 33*q^318+18660888*p^31*q^320+1007624*p^29*q^322+31522*p^27*q^324+24*p^25*q^326+ 12378*p^48*q^302+337060*p^46*q^304+4076664*p^44*q^306+49270454*p^42*q^308+ 413870024*p^40*q^310+1882363536*p^38*q^312+2312612918*p^36*q^314+593167573*p^34 *q^316+64737886*p^32*q^318+5484848*p^30*q^320+163520*p^28*q^322+4416*p^26*q^324 +464*p^49*q^300+59016*p^47*q^302+1066368*p^45*q^304+13408320*p^43*q^306+ 138752176*p^41*q^308+927615062*p^39*q^310+2528298830*p^37*q^312+1430043003*p^35 *q^314+218126210*p^33*q^316+20895994*p^31*q^318+1322922*p^29*q^320+41374*p^27*q ^322+248*p^25*q^324+4724*p^48*q^300+273360*p^46*q^302+3343878*p^44*q^304+ 41590100*p^42*q^306+362226172*p^40*q^308+1713012136*p^38*q^310+2363556675*p^36* q^312+648577120*p^34*q^314+73183574*p^32*q^316+6446118*p^30*q^318+202406*p^28*q ^320+4484*p^26*q^322+56*p^49*q^298+56446*p^47*q^300+920152*p^45*q^302+11453206* p^43*q^304+118200948*p^41*q^306+826768856*p^39*q^308+2378676428*p^37*q^310+ 1528496936*p^35*q^312+242516657*p^33*q^314+23692408*p^31*q^316+1608686*p^29*q^ 318+34772*p^27*q^320+708*p^25*q^322+8*p^50*q^296+3876*p^48*q^298+200283*p^46*q^ 300+2794980*p^44*q^302+34700870*p^42*q^304+308708506*p^40*q^306+1568550652*p^38 *q^308+2349282008*p^36*q^310+721757325*p^34*q^312+83091654*p^32*q^314+7720901*p ^30*q^316+310152*p^28*q^318+10332*p^26*q^320+8*p^24*q^322+24*p^49*q^296+32724*p ^47*q^298+782738*p^45*q^300+9315410*p^43*q^302+100887752*p^41*q^304+720949830*p ^39*q^306+2284438050*p^37*q^308+1600874363*p^35*q^310+274732370*p^33*q^312+ 26726626*p^31*q^314+1915004*p^29*q^316+33688*p^27*q^318+308*p^25*q^320+8*p^50*q ^294+1280*p^48*q^296+175328*p^46*q^298+2392337*p^44*q^300+29080826*p^42*q^302+ 268396608*p^40*q^304+1407955708*p^38*q^306+2370527260*p^36*q^308+782854114*p^34 *q^310+94137737*p^32*q^312+8653910*p^30*q^314+425116*p^28*q^316+9744*p^26*q^318 +80*p^24*q^320+96*p^49*q^294+20684*p^47*q^296+629796*p^45*q^298+7683006*p^43*q^ 300+85294785*p^41*q^302+637766878*p^39*q^304+2130558113*p^37*q^306+1690642466*p ^35*q^308+304927480*p^33*q^310+30756086*p^31*q^312+2391915*p^29*q^314+48342*p^ 27*q^316+1452*p^25*q^318+560*p^48*q^294+148206*p^46*q^296+2035682*p^44*q^298+ 24831382*p^42*q^300+227967792*p^40*q^302+1278969786*p^38*q^304+2316104462*p^36* q^306+861722490*p^34*q^308+106445276*p^32*q^310+9740752*p^30*q^312+510562*p^28* q^314+5928*p^26*q^316+8*p^24*q^318+104*p^49*q^292+12165*p^47*q^294+484646*p^45* q^296+6324445*p^43*q^298+71586404*p^41*q^300+550141042*p^39*q^302+2014576804*p^ 37*q^304+1749495952*p^35*q^306+345637096*p^33*q^308+34693651*p^31*q^310+3052068 *p^29*q^312+90354*p^27*q^314+2640*p^25*q^316+4*p^23*q^318+556*p^48*q^292+92944* p^46*q^294+1748084*p^44*q^296+20512892*p^42*q^298+197675244*p^40*q^300+ 1139286372*p^38*q^302+2308368029*p^36*q^304+927845398*p^34*q^306+119015327*p^32 *q^308+11125378*p^30*q^310+589462*p^28*q^312+5132*p^26*q^314+76*p^24*q^316+8*p^ 49*q^290+5764*p^47*q^292+457356*p^45*q^294+5312984*p^43*q^296+60799858*p^41*q^ 298+485146932*p^39*q^300+1854017013*p^37*q^302+1821250808*p^35*q^304+379564103* p^33*q^306+40016926*p^31*q^308+3394806*p^29*q^310+122242*p^27*q^312+1180*p^25*q ^314+728*p^48*q^290+68510*p^46*q^292+1382756*p^44*q^294+17108974*p^42*q^296+ 167184740*p^40*q^298+1020184585*p^38*q^300+2223216762*p^36*q^302+1014180434*p^ 34*q^304+135876974*p^32*q^306+12596545*p^30*q^308+860912*p^28*q^310+12566*p^26* q^312+456*p^24*q^314+3542*p^47*q^290+336498*p^45*q^292+4447656*p^43*q^294+ 51254248*p^41*q^296+415741468*p^39*q^298+1736812742*p^37*q^300+1858330394*p^35* q^302+426773866*p^33*q^304+44586296*p^31*q^306+4008598*p^29*q^308+140956*p^27*q ^310+616*p^25*q^312+284*p^48*q^288+38476*p^46*q^290+1202926*p^44*q^292+14096280 *p^42*q^294+143403042*p^40*q^296+903303214*p^38*q^298+2177391287*p^36*q^300+ 1079375148*p^34*q^302+153470458*p^32*q^304+14319090*p^30*q^306+1040418*p^28*q^ 308+21944*p^26*q^310+196*p^24*q^312+3412*p^47*q^288+273960*p^45*q^290+3750850*p ^43*q^292+43415657*p^41*q^294+364284200*p^39*q^296+1578890567*p^37*q^298+ 1909250058*p^35*q^300+469184326*p^33*q^302+50705850*p^31*q^304+4544784*p^29*q^ 306+179264*p^27*q^308+996*p^25*q^310+36*p^23*q^312+16*p^48*q^286+25440*p^46*q^ 288+989124*p^44*q^290+11708652*p^42*q^292+120294040*p^40*q^294+804288297*p^38*q ^296+2068766702*p^36*q^298+1164801180*p^34*q^300+171743698*p^32*q^302+16604712* p^30*q^304+1284268*p^28*q^306+33332*p^26*q^308+88*p^24*q^310+2736*p^47*q^286+ 178348*p^45*q^288+3121318*p^43*q^290+36223500*p^41*q^292+311850672*p^39*q^294+ 1456864388*p^37*q^296+1919944917*p^35*q^298+523605020*p^33*q^300+57856846*p^31* q^302+5144902*p^29*q^304+252840*p^27*q^306+2408*p^25*q^308+16*p^23*q^310+8*p^48 *q^284+14572*p^46*q^286+842966*p^44*q^288+9652506*p^42*q^290+103462119*p^40*q^ 292+702628974*p^38*q^294+2007877113*p^36*q^296+1224503206*p^34*q^298+193584662* p^32*q^300+18305390*p^30*q^302+1577652*p^28*q^304+36250*p^26*q^306+56*p^24*q^ 308+656*p^47*q^284+134014*p^45*q^286+2628508*p^43*q^288+30468470*p^41*q^290+ 270027350*p^39*q^292+1315198127*p^37*q^294+1940704618*p^35*q^296+572285702*p^33 *q^298+65696550*p^31*q^300+5919502*p^29*q^302+319686*p^27*q^304+5300*p^25*q^306 +8*p^23*q^308+14554*p^46*q^284+635804*p^44*q^286+8160346*p^42*q^288+86755666*p^ 40*q^290+622130279*p^38*q^292+1874743706*p^36*q^294+1310722578*p^34*q^296+ 215779032*p^32*q^298+21195626*p^30*q^300+1781774*p^28*q^302+46584*p^26*q^304+ 124*p^24*q^306+6*p^49*q^280+316*p^47*q^282+78620*p^45*q^284+2215556*p^43*q^286+ 25094968*p^41*q^288+229084012*p^39*q^290+1199021092*p^37*q^292+1924044316*p^35* q^294+633337886*p^33*q^296+74512360*p^31*q^298+6729992*p^29*q^300+465974*p^27*q ^302+9262*p^25*q^304+4*p^23*q^306+7288*p^46*q^282+491220*p^44*q^284+6718392*p^ 42*q^286+74201265*p^40*q^288+541454714*p^38*q^290+1790364089*p^36*q^292+ 1359173246*p^34*q^294+243962984*p^32*q^296+23701180*p^30*q^298+2083368*p^28*q^ 300+55256*p^26*q^302+392*p^24*q^304+24*p^47*q^280+59072*p^45*q^282+1885418*p^43 *q^284+20983684*p^41*q^286+198657148*p^39*q^288+1070063509*p^37*q^290+ 1921225348*p^35*q^292+684754021*p^33*q^294+83693070*p^31*q^296+7610048*p^29*q^ 298+545446*p^27*q^300+7658*p^25*q^302+78*p^48*q^278+3984*p^46*q^280+375124*p^44 *q^282+5637167*p^42*q^284+62066794*p^40*q^286+474112212*p^38*q^288+1655701628*p ^36*q^290+1428057990*p^34*q^292+271707552*p^32*q^294+27645414*p^30*q^296+ 2382160*p^28*q^298+102580*p^26*q^300+1720*p^24*q^302+24*p^47*q^278+42956*p^45*q ^280+1438650*p^43*q^282+17288848*p^41*q^284+166806935*p^39*q^286+966951642*p^37 *q^288+1872158430*p^35*q^290+754981410*p^33*q^292+94711562*p^31*q^294+8559700*p ^29*q^296+686694*p^27*q^298+6208*p^25*q^300+8*p^23*q^302+944*p^46*q^278+235014* p^44*q^280+4880634*p^42*q^282+52500136*p^40*q^284+410552034*p^38*q^286+ 1563513279*p^36*q^288+1466815588*p^34*q^290+303627635*p^32*q^292+30778880*p^30* q^294+2794264*p^28*q^296+135668*p^26*q^298+1756*p^24*q^300+410*p^47*q^276+28262 *p^45*q^278+1261952*p^43*q^280+14377397*p^41*q^282+144043488*p^39*q^284+ 854039587*p^37*q^286+1840050120*p^35*q^288+806026764*p^33*q^290+106866862*p^31* q^292+9757498*p^29*q^294+763312*p^27*q^296+14548*p^25*q^298+144*p^23*q^300+508* p^46*q^276+185474*p^44*q^278+3900888*p^42*q^280+43514376*p^40*q^282+356540618*p ^38*q^284+1424525492*p^36*q^286+1523837392*p^34*q^288+337908760*p^32*q^290+ 35889787*p^30*q^292+3147492*p^28*q^294+189144*p^26*q^296+436*p^24*q^298+132*p^ 47*q^274+12780*p^45*q^276+889395*p^43*q^278+12152966*p^41*q^280+121497716*p^39* q^282+764095178*p^37*q^284+1770008091*p^35*q^286+876684008*p^33*q^288+119620984 *p^31*q^290+10908938*p^29*q^292+941028*p^27*q^294+25840*p^25*q^296+360*p^23*q^ 298+1356*p^46*q^274+132755*p^44*q^276+3331160*p^42*q^278+36326837*p^40*q^280+ 305716256*p^38*q^282+1326763415*p^36*q^284+1536030420*p^34*q^286+377515165*p^32 *q^288+40171228*p^30*q^290+3573526*p^28*q^292+224040*p^26*q^294+1020*p^24*q^296 +4*p^22*q^298+5304*p^45*q^274+684314*p^43*q^276+10059507*p^41*q^278+104154914*p ^39*q^280+671249669*p^37*q^282+1717875608*p^35*q^284+929223059*p^33*q^286+ 135596836*p^31*q^288+12465524*p^29*q^290+1150298*p^27*q^292+37068*p^25*q^294+8* p^23*q^296+1342*p^46*q^272+90868*p^44*q^274+2753225*p^42*q^276+30284144*p^40*q^ 278+264706137*p^38*q^280+1196874672*p^36*q^282+1569022037*p^34*q^284+414873580* p^32*q^286+45635096*p^30*q^288+3924132*p^28*q^290+252902*p^26*q^292+3484*p^24*q ^294+32*p^22*q^296+5606*p^45*q^272+497402*p^43*q^274+8342612*p^41*q^276+ 86228436*p^39*q^278+594614290*p^37*q^280+1623760767*p^35*q^282+1000880160*p^33* q^284+152454577*p^31*q^286+14741570*p^29*q^288+1332678*p^27*q^290+60368*p^25*q^ 292+22*p^23*q^294+124*p^46*q^270+41818*p^44*q^272+2158116*p^42*q^274+25246396*p ^40*q^276+226407832*p^38*q^278+1101047483*p^36*q^280+1567434918*p^34*q^282+ 459675073*p^32*q^284+51016990*p^30*q^286+4217960*p^28*q^288+351308*p^26*q^290+ 4258*p^24*q^292+5848*p^45*q^270+399122*p^43*q^272+7084226*p^41*q^274+74034218*p ^39*q^276+517039069*p^37*q^278+1557564334*p^35*q^280+1039688666*p^33*q^282+ 171574164*p^31*q^284+16773592*p^29*q^286+1516190*p^27*q^288+55106*p^25*q^290+ 276*p^23*q^292+120*p^46*q^268+31664*p^44*q^270+1664472*p^42*q^272+20974746*p^40 *q^274+193679019*p^38*q^276+982087152*p^36*q^278+1572806384*p^34*q^280+ 505381792*p^32*q^282+58391303*p^30*q^284+4862210*p^28*q^286+459064*p^26*q^288+ 12946*p^24*q^290+2334*p^45*q^268+245448*p^43*q^270+5862528*p^41*q^272+60873859* p^39*q^274+454932376*p^37*q^276+1452989825*p^35*q^278+1110377472*p^33*q^280+ 191160328*p^31*q^282+19114836*p^29*q^284+1626384*p^27*q^286+78628*p^25*q^288+ 230*p^23*q^290+16*p^46*q^266+21860*p^44*q^268+1303604*p^42*q^270+17497528*p^40* q^272+165188782*p^38*q^274+894786152*p^36*q^276+1544778278*p^34*q^278+552262431 *p^32*q^280+65212876*p^30*q^282+5668738*p^28*q^284+547004*p^26*q^286+11280*p^24 *q^288+8*p^22*q^290+1492*p^45*q^266+163580*p^43*q^268+4853796*p^41*q^270+ 51685464*p^39*q^272+392722658*p^37*q^274+1369947948*p^35*q^276+1141599289*p^33* q^278+217303320*p^31*q^280+21525029*p^29*q^282+1696868*p^27*q^284+121128*p^25*q ^286+1680*p^23*q^288+15814*p^44*q^266+1012065*p^42*q^268+14478844*p^40*q^270+ 140797870*p^38*q^272+790253948*p^36*q^274+1532909254*p^34*q^276+598457266*p^32* q^278+73608931*p^30*q^280+6791916*p^28*q^282+642278*p^26*q^284+12880*p^24*q^286 +4*p^22*q^288+522*p^45*q^264+108970*p^43*q^266+3752290*p^41*q^268+42774372*p^39 *q^270+341749782*p^37*q^272+1262382182*p^35*q^274+1194357596*p^33*q^276+ 241557068*p^31*q^278+24928340*p^29*q^280+1755986*p^27*q^282+168440*p^25*q^284+ 2426*p^23*q^286+9986*p^44*q^264+698312*p^42*q^266+12390415*p^40*q^268+118391420 *p^38*q^270+712787339*p^36*q^272+1481735548*p^34*q^274+652668158*p^32*q^276+ 82746028*p^30*q^278+7625298*p^28*q^280+735036*p^26*q^282+21026*p^24*q^284+84*p^ 22*q^286+12*p^45*q^262+73046*p^43*q^264+3132196*p^41*q^266+35764006*p^39*q^268+ 293758337*p^37*q^270+1178284778*p^35*q^272+1211945634*p^33*q^274+269773324*p^31 *q^276+27339119*p^29*q^278+2179398*p^27*q^280+199592*p^25*q^282+1436*p^23*q^284 +6158*p^44*q^262+505968*p^42*q^264+10011632*p^40*q^266+100588416*p^38*q^268+ 623745844*p^36*q^270+1445862330*p^34*q^272+698274768*p^32*q^274+94866751*p^30*q ^276+9138462*p^28*q^278+678210*p^26*q^280+38880*p^24*q^282+426*p^22*q^284+94*p^ 45*q^260+51484*p^43*q^262+2394172*p^41*q^264+29629372*p^39*q^266+254082714*p^37 *q^268+1068548255*p^35*q^270+1253899752*p^33*q^272+298531122*p^31*q^274+ 30989078*p^29*q^276+2436948*p^27*q^278+287468*p^25*q^280+2370*p^23*q^282+1036*p ^44*q^260+328442*p^42*q^262+8320615*p^40*q^264+84198086*p^38*q^266+554720741*p^ 36*q^268+1381457802*p^34*q^270+752869746*p^32*q^272+106409006*p^30*q^274+ 10302924*p^28*q^276+714364*p^26*q^278+50564*p^24*q^280+104*p^22*q^282+14*p^45*q ^258+37776*p^43*q^260+1841832*p^41*q^262+25049888*p^39*q^264+216615543*p^37*q^ 266+988196076*p^35*q^268+1248635955*p^33*q^270+332500618*p^31*q^272+34475433*p^ 29*q^274+2978442*p^27*q^276+303990*p^25*q^278+5196*p^23*q^280+36*p^21*q^282+ 1368*p^44*q^258+239990*p^42*q^260+6784648*p^40*q^262+71037818*p^38*q^264+ 481668070*p^36*q^266+1323302262*p^34*q^268+794897432*p^32*q^270+121394806*p^30* q^272+11700768*p^28*q^274+760906*p^26*q^276+75504*p^24*q^278+138*p^22*q^280+16* p^45*q^256+16020*p^43*q^258+1309474*p^41*q^260+20434223*p^39*q^262+185061986*p^ 37*q^264+886420048*p^35*q^266+1274400066*p^33*q^268+366087232*p^31*q^270+ 39417426*p^29*q^272+3601421*p^27*q^274+316620*p^25*q^276+11416*p^23*q^278+4*p^ 21*q^280+336*p^44*q^256+167178*p^42*q^258+5493857*p^40*q^260+59219010*p^38*q^ 262+428055582*p^36*q^264+1246038578*p^34*q^266+844612127*p^32*q^268+134746822*p ^30*q^270+12987779*p^28*q^272+818274*p^26*q^274+103888*p^24*q^276+280*p^22*q^ 278+8*p^45*q^254+10098*p^43*q^256+997742*p^41*q^258+17233288*p^39*q^260+ 157440423*p^37*q^262+804683562*p^35*q^264+1253551184*p^33*q^266+403832444*p^31* q^268+44836380*p^29*q^270+4189772*p^27*q^272+307008*p^25*q^274+13138*p^23*q^276 +244*p^44*q^254+108026*p^42*q^256+4206540*p^40*q^258+49390797*p^38*q^260+ 365493954*p^36*q^262+1184849543*p^34*q^264+878705330*p^32*q^266+153847176*p^30* q^268+14411002*p^28*q^270+1104006*p^26*q^272+131284*p^24*q^274+1620*p^22*q^276+ 4892*p^43*q^254+684010*p^41*q^256+14282424*p^39*q^258+133991850*p^37*q^260+ 718053648*p^35*q^262+1252985486*p^33*q^264+441035441*p^31*q^266+50803050*p^29*q ^268+4889652*p^27*q^270+255594*p^25*q^272+23660*p^23*q^274+136*p^44*q^252+62630 *p^42*q^254+3332696*p^40*q^256+40836560*p^38*q^258+320280691*p^36*q^260+ 1093797694*p^34*q^262+926234447*p^32*q^264+170020730*p^30*q^266+16246554*p^28*q ^268+1277146*p^26*q^270+150968*p^24*q^272+2380*p^22*q^274+2314*p^43*q^252+ 487678*p^41*q^254+11646972*p^39*q^256+113281761*p^37*q^258+646647380*p^35*q^260 +1217899522*p^33*q^262+481258874*p^31*q^264+58003316*p^29*q^266+5496378*p^27*q^ 268+305196*p^25*q^270+33168*p^23*q^272+72*p^21*q^274+76*p^44*q^250+40868*p^42*q ^252+2544946*p^40*q^254+34545164*p^38*q^256+273414268*p^36*q^258+1022438115*p^ 34*q^260+945279044*p^32*q^262+192582306*p^30*q^264+17924446*p^28*q^266+1621310* p^26*q^268+122472*p^24*q^270+3210*p^22*q^272+1688*p^43*q^250+322998*p^41*q^252+ 9161671*p^39*q^254+94658978*p^37*q^256+567692575*p^35*q^258+1200804412*p^33*q^ 260+520468866*p^31*q^262+66505058*p^29*q^264+6273131*p^27*q^266+338474*p^25*q^ 268+58964*p^23*q^270+448*p^21*q^272+17648*p^42*q^250+1820886*p^40*q^252+ 28757006*p^38*q^254+238641828*p^36*q^256+936915366*p^34*q^258+981309927*p^32*q^ 260+212650006*p^30*q^262+20428571*p^28*q^264+1852550*p^26*q^266+124704*p^24*q^ 268+4420*p^22*q^270+1080*p^43*q^248+225018*p^41*q^250+7698250*p^39*q^252+ 79193984*p^37*q^254+505400508*p^35*q^256+1146851095*p^33*q^258+561182804*p^31*q ^260+74381801*p^29*q^262+6735534*p^27*q^264+443876*p^25*q^266+53636*p^23*q^268+ 204*p^21*q^270+14526*p^42*q^248+1348752*p^40*q^250+23458198*p^38*q^252+ 201531516*p^36*q^254+865598785*p^34*q^256+987866206*p^32*q^258+240108677*p^30*q ^260+23887190*p^28*q^262+2374322*p^26*q^264+99732*p^24*q^266+14468*p^22*q^268+ 40*p^20*q^270+144*p^43*q^246+118984*p^41*q^248+5795896*p^39*q^250+66729966*p^37 *q^252+439159799*p^35*q^254+1111161090*p^33*q^256+599175603*p^31*q^258+84099696 *p^29*q^260+7201080*p^27*q^262+516048*p^25*q^264+65748*p^23*q^266+280*p^21*q^ 268+8014*p^42*q^246+956438*p^40*q^248+19494392*p^38*q^250+173648272*p^36*q^252+ 782840948*p^34*q^254+1013945700*p^32*q^256+262561530*p^30*q^258+27426241*p^28*q ^260+2695732*p^26*q^262+104476*p^24*q^264+16400*p^22*q^266+20*p^43*q^244+87470* p^41*q^246+4583730*p^39*q^248+55641759*p^37*q^250+388074650*p^35*q^252+ 1044871800*p^33*q^254+636345808*p^31*q^256+94767026*p^29*q^258+8045158*p^27*q^ 260+677651*p^25*q^262+57908*p^23*q^264+1824*p^21*q^266+8*p^44*q^242+3772*p^42*q ^244+632774*p^40*q^246+15862655*p^38*q^248+145391974*p^36*q^250+711595754*p^34* q^252+1005339854*p^32*q^254+295906199*p^30*q^256+31242846*p^28*q^258+2922551*p^ 26*q^260+132508*p^24*q^262+21976*p^22*q^264+24*p^43*q^242+52102*p^41*q^244+ 3386746*p^39*q^246+46466320*p^37*q^248+334638796*p^35*q^250+1001565500*p^33*q^ 252+669259703*p^31*q^254+106765720*p^29*q^256+9213063*p^27*q^258+932904*p^25*q^ 260+33926*p^23*q^262+3832*p^21*q^264+6*p^44*q^240+852*p^42*q^242+413526*p^40*q^ 244+12820014*p^38*q^246+123857467*p^36*q^248+636092460*p^34*q^250+1008413391*p^ 32*q^252+321062436*p^30*q^254+35628349*p^28*q^256+3024806*p^26*q^258+135797*p^ 24*q^260+33588*p^22*q^262+84*p^20*q^264+88*p^43*q^240+31846*p^41*q^242+2556030* p^39*q^244+38434722*p^37*q^246+293868238*p^35*q^248+928306907*p^33*q^250+ 708034152*p^31*q^252+119943651*p^29*q^254+10843766*p^27*q^256+1122013*p^25*q^ 258+36764*p^23*q^260+3452*p^21*q^262+536*p^42*q^240+293746*p^40*q^242+10138912* p^38*q^244+103865250*p^36*q^246+569620378*p^34*q^248+985501204*p^32*q^250+ 352579432*p^30*q^252+40183194*p^28*q^254+3237158*p^26*q^256+226824*p^24*q^258+ 22584*p^22*q^260+620*p^20*q^262+116*p^43*q^238+13782*p^41*q^240+1733840*p^39*q^ 242+31937812*p^37*q^244+248970778*p^35*q^246+878816464*p^33*q^248+730905623*p^ 31*q^250+137268812*p^29*q^252+12620677*p^27*q^254+1260888*p^25*q^256+23557*p^23 *q^258+11152*p^21*q^260+440*p^42*q^238+175236*p^40*q^240+7999050*p^38*q^242+ 87481197*p^36*q^244+505914152*p^34*q^246+974352028*p^32*q^248+381878954*p^30*q^ 250+44913261*p^28*q^252+3452076*p^26*q^254+329392*p^24*q^256+17076*p^22*q^258+ 164*p^20*q^260+6690*p^41*q^238+1273216*p^39*q^240+26173024*p^37*q^242+216826104 *p^35*q^244+800821581*p^33*q^246+761881476*p^31*q^248+151277672*p^29*q^250+ 14610930*p^27*q^252+1346144*p^25*q^254+35712*p^23*q^256+11676*p^21*q^258+44*p^ 19*q^260+1010*p^42*q^236+113510*p^40*q^238+6161966*p^38*q^240+72743972*p^36*q^ 242+448428617*p^34*q^244+937356672*p^32*q^246+416228944*p^30*q^248+51622412*p^ 28*q^250+4101456*p^26*q^252+431848*p^24*q^254+6988*p^22*q^256+1860*p^20*q^258+ 3192*p^41*q^236+826000*p^39*q^238+21027462*p^37*q^240+182360607*p^35*q^242+ 743588028*p^33*q^244+774717693*p^31*q^246+171986604*p^29*q^248+16559027*p^27*q^ 250+1383848*p^25*q^252+64178*p^23*q^254+11422*p^21*q^256+168*p^42*q^234+57359*p ^40*q^236+4509262*p^38*q^238+61977706*p^36*q^240+393131190*p^34*q^242+916710208 *p^32*q^244+444140890*p^30*q^246+57728388*p^28*q^248+4726062*p^26*q^250+494458* p^24*q^252+3088*p^22*q^254+3400*p^20*q^256+4886*p^41*q^234+591132*p^39*q^236+ 17370922*p^37*q^238+156159588*p^35*q^240+671414307*p^33*q^242+789499968*p^31*q^ 244+189000682*p^29*q^246+18970260*p^27*q^248+1377628*p^25*q^250+109180*p^23*q^ 252+5264*p^21*q^254+112*p^19*q^256+24*p^42*q^232+30856*p^40*q^234+3279789*p^38* q^236+49962140*p^36*q^238+345600402*p^34*q^240+865629986*p^32*q^242+481482404*p ^30*q^244+66244794*p^28*q^246+5702356*p^26*q^248+617530*p^24*q^250+7924*p^22*q^ 252+4768*p^20*q^254+2816*p^41*q^232+365700*p^39*q^234+13585962*p^37*q^236+ 131982042*p^35*q^238+615748730*p^33*q^240+793057561*p^31*q^242+211302288*p^29*q ^244+21102828*p^27*q^246+1488802*p^25*q^248+133232*p^23*q^250+276*p^21*q^252+ 580*p^19*q^254+8*p^42*q^230+19748*p^40*q^232+2363786*p^38*q^234+42006746*p^36*q ^236+297623338*p^34*q^238+832141969*p^32*q^240+505285714*p^30*q^242+74822230*p^ 28*q^244+6682928*p^26*q^246+609484*p^24*q^248+17444*p^22*q^250+4470*p^20*q^252+ 608*p^41*q^230+215362*p^39*q^232+10562076*p^37*q^234+112029436*p^35*q^236+ 550199608*p^33*q^238+799793786*p^31*q^240+231721588*p^29*q^242+24039350*p^27*q^ 244+1665460*p^25*q^246+193364*p^23*q^248+562*p^21*q^250+880*p^19*q^252+20166*p^ 40*q^230+1696042*p^38*q^232+34479484*p^36*q^234+258714339*p^34*q^236+772449926* p^32*q^238+536615088*p^30*q^240+84777228*p^28*q^242+7692832*p^26*q^244+614466*p ^24*q^246+29610*p^22*q^248+508*p^20*q^250+48*p^18*q^252+3*p^43*q^226+272*p^41*q ^228+116816*p^39*q^230+7902120*p^37*q^232+92566200*p^35*q^234+495974514*p^33*q^ 236+788527008*p^31*q^238+258806772*p^29*q^240+27080420*p^27*q^242+2112092*p^25* q^244+242857*p^23*q^246+1328*p^21*q^248+2248*p^19*q^250+7404*p^40*q^228+1102644 *p^38*q^230+28197861*p^36*q^232+222418770*p^34*q^234+734368676*p^32*q^236+ 557017518*p^30*q^238+95495119*p^28*q^240+8670784*p^26*q^242+552058*p^24*q^244+ 37164*p^22*q^246+12*p^20*q^248+48*p^18*q^250+24*p^41*q^226+95362*p^39*q^228+ 6079318*p^37*q^230+78729074*p^35*q^232+437815936*p^33*q^234+778877710*p^31*q^ 236+279064239*p^29*q^238+30744074*p^27*q^240+2450808*p^25*q^242+279528*p^23*q^ 244+4882*p^21*q^246+660*p^19*q^248+42*p^42*q^224+4266*p^40*q^226+705659*p^38*q^ 228+22170456*p^36*q^230+190554095*p^34*q^232+670836064*p^32*q^234+584952459*p^ 30*q^236+108182684*p^28*q^238+10072632*p^26*q^240+620528*p^24*q^242+63449*p^22* q^244+28*p^20*q^246+554*p^18*q^248+40*p^41*q^224+55046*p^39*q^226+4320292*p^37* q^228+64783969*p^35*q^230+390129476*p^33*q^232+758519226*p^31*q^234+307146268*p ^29*q^236+34997267*p^27*q^238+2934682*p^25*q^240+275984*p^23*q^242+5768*p^21*q^ 244+972*p^40*q^224+444632*p^38*q^226+17872501*p^36*q^228+161660002*p^34*q^230+ 628020467*p^32*q^232+594779934*p^30*q^234+121479090*p^28*q^236+10985372*p^26*q^ 238+691512*p^24*q^240+86464*p^22*q^242+392*p^20*q^244+440*p^18*q^246+248*p^41*q ^222+35596*p^39*q^224+3145386*p^37*q^226+54155198*p^35*q^228+340033071*p^33*q^ 230+738856444*p^31*q^232+329440673*p^29*q^234+40073746*p^27*q^236+3530978*p^25* q^238+247320*p^23*q^240+9713*p^21*q^242+52*p^17*q^246+740*p^40*q^222+298604*p^ 38*q^224+13648476*p^36*q^226+137503868*p^34*q^228+565806830*p^32*q^230+ 613760888*p^30*q^232+135381396*p^28*q^234+12348448*p^26*q^236+823612*p^24*q^238 +121294*p^22*q^240+1012*p^20*q^242+76*p^41*q^220+14614*p^39*q^222+2067334*p^37* q^224+43895705*p^35*q^226+299391152*p^33*q^228+704831562*p^31*q^230+358921250*p ^29*q^232+46009593*p^27*q^234+4147520*p^25*q^236+242250*p^23*q^238+15156*p^21*q ^240+8*p^19*q^242+156*p^17*q^244+976*p^40*q^220+198096*p^38*q^222+10490801*p^36 *q^224+115817332*p^34*q^226+521035241*p^32*q^228+617773616*p^30*q^230+151112356 *p^28*q^232+13713998*p^26*q^234+1016982*p^24*q^236+114988*p^22*q^238+718*p^20*q ^240+7196*p^39*q^220+1406240*p^37*q^222+36263866*p^35*q^224+258036369*p^33*q^ 226+677105128*p^31*q^228+376726807*p^29*q^230+52696134*p^27*q^232+4597111*p^25* q^234+214632*p^23*q^236+33836*p^21*q^238+120*p^19*q^240+890*p^40*q^218+121979*p ^38*q^220+7779372*p^36*q^222+97193313*p^34*q^224+463861338*p^32*q^226+625836419 *p^30*q^228+168339746*p^28*q^230+15940318*p^26*q^232+1310646*p^24*q^234+129502* p^22*q^236+1360*p^20*q^238+28*p^16*q^242+6*p^41*q^216+5706*p^39*q^218+917314*p^ 37*q^220+28437749*p^35*q^222+224077660*p^33*q^224+634406881*p^31*q^226+ 404244560*p^29*q^228+59366170*p^27*q^230+5014618*p^25*q^232+249290*p^23*q^234+ 38004*p^21*q^236+12*p^19*q^238+72*p^40*q^216+54972*p^38*q^218+5570513*p^36*q^ 220+81200082*p^34*q^222+421612825*p^32*q^224+620164346*p^30*q^226+186904176*p^ 28*q^228+18273418*p^26*q^230+1652598*p^24*q^232+96300*p^22*q^234+5398*p^20*q^ 236+4*p^18*q^238+4738*p^39*q^216+663971*p^37*q^218+22927392*p^35*q^220+ 191505517*p^33*q^222+600381226*p^31*q^224+419636775*p^29*q^226+66827208*p^27*q^ 228+5448820*p^25*q^230+298982*p^23*q^232+52934*p^21*q^234+36*p^19*q^236+2*p^15* q^240+166*p^40*q^214+42592*p^38*q^216+3878448*p^36*q^218+67489052*p^34*q^220+ 368941192*p^32*q^222+617453624*p^30*q^224+204221678*p^28*q^226+21692532*p^26*q^ 228+1911406*p^24*q^230+73988*p^22*q^232+8584*p^20*q^234+1636*p^39*q^214+358900* p^37*q^216+17406763*p^35*q^218+163382990*p^33*q^220+554704779*p^31*q^222+ 444661418*p^29*q^224+76368755*p^27*q^226+6024788*p^25*q^228+442294*p^23*q^230+ 61324*p^21*q^232+400*p^19*q^234+22232*p^38*q^214+2760398*p^36*q^216+55418474*p^ 34*q^218+332271518*p^32*q^220+600606120*p^30*q^222+224473240*p^28*q^224+ 23972596*p^26*q^226+2084148*p^24*q^228+56666*p^22*q^230+11202*p^20*q^232+1632*p ^39*q^212+247972*p^37*q^214+13440626*p^35*q^216+138360121*p^33*q^218+514347594* p^31*q^220+453766891*p^29*q^222+85842824*p^27*q^224+7156528*p^25*q^226+607862*p ^23*q^228+41240*p^21*q^230+1452*p^19*q^232+14384*p^38*q^212+1830408*p^36*q^214+ 44820213*p^34*q^216+287090308*p^32*q^218+589429768*p^30*q^220+243167532*p^28*q^ 222+28185399*p^26*q^224+2217758*p^24*q^226+78516*p^22*q^228+24388*p^20*q^230+8* p^18*q^232+440*p^39*q^210+139698*p^37*q^212+9695456*p^35*q^214+118153350*p^33*q ^216+467879020*p^31*q^218+471694262*p^29*q^220+96338588*p^27*q^222+8115812*p^25 *q^224+734216*p^23*q^226+22832*p^21*q^228+924*p^19*q^230+11*p^40*q^208+9938*p^ 38*q^210+1184876*p^36*q^212+36106372*p^34*q^214+252112220*p^32*q^216+564138018* p^30*q^218+263652933*p^28*q^220+31790810*p^26*q^222+2442900*p^24*q^224+133630*p ^22*q^226+23296*p^20*q^228+136*p^18*q^230+20*p^39*q^208+84573*p^37*q^210+ 7198786*p^35*q^212+98077608*p^33*q^214+432405540*p^31*q^216+474250162*p^29*q^ 218+108494250*p^27*q^220+9430626*p^25*q^222+830088*p^23*q^224+9808*p^21*q^226+ 5048*p^19*q^228+8*p^40*q^206+6966*p^38*q^208+810336*p^36*q^210+28412227*p^34*q^ 212+216634564*p^32*q^214+540001853*p^30*q^216+281098448*p^28*q^218+36361432*p^ 26*q^220+2673948*p^24*q^222+199332*p^22*q^224+18376*p^20*q^226+16*p^18*q^228+ 175*p^39*q^206+54474*p^37*q^208+4883254*p^35*q^210+81657644*p^33*q^212+ 384160698*p^31*q^214+487931318*p^29*q^216+120968622*p^27*q^218+11191266*p^25*q^ 220+972986*p^23*q^222+19232*p^21*q^224+7644*p^19*q^226+4*p^17*q^228+820*p^38*q^ 206+451702*p^36*q^208+22016864*p^34*q^210+189330730*p^32*q^212+510788348*p^30*q ^214+300328026*p^28*q^216+40985146*p^26*q^218+2915488*p^24*q^220+239154*p^22*q^ 222+5012*p^20*q^224+452*p^18*q^226+108*p^39*q^204+46920*p^37*q^206+3546494*p^35 *q^208+67566657*p^33*q^210+346558168*p^31*q^212+480179737*p^29*q^214+134785584* p^27*q^216+12638614*p^25*q^218+1032748*p^23*q^220+36232*p^21*q^222+9676*p^19*q^ 224+1534*p^38*q^204+304768*p^36*q^206+16562208*p^34*q^208+159236508*p^32*q^210+ 483645117*p^30*q^212+315702378*p^28*q^214+47322063*p^26*q^216+3560318*p^24*q^ 218+326518*p^22*q^220+1848*p^20*q^222+1400*p^18*q^224+32*p^39*q^202+16306*p^37* q^204+2215182*p^35*q^206+54839434*p^33*q^208+306311901*p^31*q^210+482070270*p^ 29*q^212+148662919*p^27*q^214+14733858*p^25*q^216+1011472*p^23*q^218+52644*p^21 *q^220+6024*p^19*q^222+8*p^17*q^224+864*p^38*q^202+211752*p^36*q^204+12308742*p ^34*q^206+137843810*p^32*q^208+447573196*p^30*q^210+334481950*p^28*q^212+ 53029114*p^26*q^214+4033184*p^24*q^216+399410*p^22*q^218+3748*p^20*q^220+2392*p ^18*q^222+10593*p^37*q^202+1514826*p^35*q^204+43986686*p^33*q^206+272073118*p^ 31*q^208+468210496*p^29*q^210+163145732*p^27*q^212+16702329*p^25*q^214+1127712* p^23*q^216+72352*p^21*q^218+572*p^19*q^220+140*p^17*q^222+544*p^38*q^200+136866 *p^36*q^202+8801464*p^34*q^204+114357534*p^32*q^206+416735599*p^30*q^208+ 345050990*p^28*q^210+60951580*p^26*q^212+4932278*p^24*q^214+430512*p^22*q^216+ 8672*p^20*q^218+3804*p^18*q^220+6360*p^37*q^200+956717*p^35*q^202+34787302*p^33 *q^204+236527983*p^31*q^206+462871900*p^29*q^208+177489162*p^27*q^210+19154338* p^25*q^212+1190359*p^23*q^214+112168*p^21*q^216+214*p^19*q^218+220*p^17*q^220+ 98*p^38*q^198+70145*p^36*q^200+6155058*p^34*q^202+96691628*p^32*q^204+378916984 *p^30*q^206+358622295*p^28*q^208+68490878*p^26*q^210+5666812*p^24*q^212+455980* p^22*q^214+11436*p^20*q^216+840*p^18*q^218+4*p^16*q^220+4038*p^37*q^198+681554* p^35*q^200+26963042*p^33*q^202+208221068*p^31*q^204+442350942*p^29*q^206+ 193737782*p^27*q^208+21545566*p^25*q^210+1415228*p^23*q^212+141872*p^21*q^214+ 808*p^19*q^216+1148*p^17*q^218+54*p^38*q^196+45508*p^36*q^198+4229482*p^34*q^ 200+79094640*p^32*q^202+346194576*p^30*q^204+361980396*p^28*q^206+77842323*p^26 *q^208+6706254*p^24*q^210+428690*p^22*q^212+20222*p^20*q^214+8*p^18*q^216+4*p^ 16*q^218+2222*p^37*q^196+419069*p^35*q^198+20114756*p^33*q^200+177682026*p^31*q ^202+428940252*p^29*q^204+209078491*p^27*q^206+24948986*p^25*q^208+1713446*p^23 *q^210+191414*p^21*q^212+1708*p^19*q^214+660*p^17*q^216+24*p^38*q^194+22168*p^ 36*q^196+2792826*p^34*q^198+65657920*p^32*q^200+311219604*p^30*q^202+371192139* p^28*q^204+85855042*p^26*q^206+7582325*p^24*q^208+409492*p^22*q^210+27990*p^20* q^212+24*p^18*q^214+144*p^16*q^216+830*p^37*q^194+270314*p^35*q^196+15153974*p^ 33*q^198+153808388*p^31*q^200+401975915*p^29*q^202+222947716*p^27*q^204+ 28618274*p^25*q^206+2080938*p^23*q^208+191452*p^21*q^210+2036*p^19*q^212+8*p^38 *q^192+19694*p^36*q^194+1977166*p^34*q^196+51808238*p^32*q^198+279446976*p^30*q ^200+368844762*p^28*q^202+97641035*p^26*q^204+8542582*p^24*q^206+468564*p^22*q^ 208+54870*p^20*q^210+196*p^18*q^212+264*p^16*q^214+6*p^39*q^190+402*p^37*q^192+ 134116*p^35*q^194+10391998*p^33*q^196+129325506*p^31*q^198+383271200*p^29*q^200 +236149725*p^27*q^202+32938226*p^25*q^204+2590154*p^23*q^206+182502*p^21*q^208+ 3266*p^19*q^210+4*p^15*q^214+8323*p^36*q^192+1317412*p^34*q^194+41972103*p^32*q ^196+248013730*p^30*q^198+371233384*p^28*q^200+107003468*p^26*q^202+9566470*p^ 24*q^204+507104*p^22*q^206+67968*p^20*q^208+104*p^18*q^210+148*p^37*q^190+ 107632*p^35*q^192+7577130*p^33*q^194+109728066*p^31*q^196+351457734*p^29*q^198+ 249402556*p^27*q^200+37416020*p^25*q^202+3022690*p^23*q^204+164748*p^21*q^206+ 9108*p^19*q^208+8*p^17*q^210+52*p^15*q^212+86*p^38*q^188+4386*p^36*q^190+782004 *p^34*q^192+31607208*p^32*q^194+218271756*p^30*q^196+363572094*p^28*q^198+ 119400320*p^26*q^200+11258068*p^24*q^202+707238*p^22*q^204+79654*p^20*q^206+228 *p^18*q^208+64*p^37*q^188+62819*p^35*q^190+5311180*p^33*q^192+90733832*p^31*q^ 194+330882120*p^29*q^196+258160194*p^27*q^198+43111798*p^25*q^200+3308716*p^23* q^202+122266*p^21*q^204+16104*p^19*q^206+4*p^17*q^208+1876*p^36*q^188+493498*p^ 34*q^190+23981707*p^32*q^192+189580110*p^30*q^194+356666896*p^28*q^196+ 130013122*p^26*q^198+12790498*p^24*q^200+937796*p^22*q^202+88486*p^20*q^204+732 *p^18*q^206+4*p^14*q^210+498*p^37*q^186+33086*p^35*q^188+3616975*p^33*q^190+ 75569974*p^31*q^192+300056257*p^29*q^194+269952610*p^27*q^196+48539324*p^25*q^ 198+3759638*p^23*q^200+142444*p^21*q^202+20040*p^19*q^204+12*p^17*q^206+1224*p^ 36*q^186+359648*p^34*q^188+17664462*p^32*q^190+164997382*p^30*q^192+341067788*p ^28*q^194+142068669*p^26*q^196+14897684*p^24*q^198+1142526*p^22*q^200+56242*p^ 20*q^202+2616*p^18*q^204+156*p^37*q^184+18162*p^35*q^186+2236730*p^33*q^188+ 59798424*p^31*q^190+274299422*p^29*q^192+276010422*p^27*q^194+55719526*p^25*q^ 196+4275858*p^23*q^198+210472*p^21*q^200+36604*p^19*q^202+20*p^17*q^204+1670*p^ 36*q^184+193654*p^34*q^186+13027946*p^32*q^188+141192522*p^30*q^190+334106732*p ^28*q^192+151915164*p^26*q^194+17200875*p^24*q^196+1272276*p^22*q^198+34268*p^ 20*q^200+2456*p^18*q^202+4*p^37*q^182+11138*p^35*q^184+1633736*p^33*q^186+ 47732732*p^31*q^188+244887748*p^29*q^190+278636814*p^27*q^192+62054539*p^25*q^ 194+4739836*p^23*q^196+311216*p^21*q^198+33382*p^19*q^200+234*p^17*q^202+1778*p ^36*q^182+125766*p^34*q^184+8996364*p^32*q^186+120305660*p^30*q^188+311447168*p ^28*q^190+166840538*p^26*q^192+20121886*p^24*q^194+1547150*p^22*q^196+35298*p^ 20*q^198+8272*p^18*q^200+6566*p^35*q^182+966986*p^33*q^184+36548714*p^31*q^186+ 220136136*p^29*q^188+281636136*p^27*q^190+69561272*p^25*q^192+5483863*p^23*q^ 194+377646*p^21*q^196+21364*p^19*q^198+176*p^17*q^200+176*p^36*q^180+72652*p^34 *q^182+6285416*p^32*q^184+100761672*p^30*q^186+297809891*p^28*q^188+174091126*p ^26*q^190+23269472*p^24*q^192+1599634*p^22*q^194+56222*p^20*q^196+12230*p^18*q^ 198+8*p^16*q^200+8*p^37*q^178+8658*p^35*q^180+662188*p^33*q^182+28362658*p^31*q ^184+192752922*p^29*q^186+281029782*p^27*q^188+77273819*p^25*q^190+6408800*p^23 *q^192+498298*p^21*q^194+10012*p^19*q^196+854*p^17*q^198+116*p^36*q^178+43588*p ^34*q^180+4225826*p^32*q^182+82357119*p^30*q^184+274114372*p^28*q^186+186038053 *p^26*q^188+26721222*p^24*q^190+1806346*p^22*q^192+86476*p^20*q^194+12358*p^18* q^196+12*p^16*q^198+3260*p^35*q^178+400578*p^33*q^180+20449178*p^31*q^182+ 171798124*p^29*q^184+276628420*p^27*q^186+86668992*p^25*q^188+7656444*p^23*q^ 190+580412*p^21*q^192+6332*p^19*q^194+2448*p^17*q^196+88*p^36*q^176+31586*p^34* q^178+2818627*p^32*q^180+67120580*p^30*q^182+255405246*p^28*q^184+192714346*p^ 26*q^186+30162419*p^24*q^188+1914964*p^22*q^190+116608*p^20*q^192+8064*p^18*q^ 194+20*p^16*q^196+1572*p^35*q^176+254624*p^33*q^178+15141518*p^31*q^180+ 146820442*p^29*q^182+272842990*p^27*q^184+94400727*p^25*q^186+9043302*p^23*q^ 188+665818*p^21*q^190+13872*p^19*q^192+3588*p^17*q^194+16*p^36*q^174+24244*p^34 *q^176+1902442*p^32*q^178+53311829*p^30*q^180+230737322*p^28*q^182+201114257*p^ 26*q^184+34436788*p^24*q^186+2254868*p^22*q^188+166708*p^20*q^190+1226*p^18*q^ 192+272*p^16*q^194+6*p^37*q^172+698*p^35*q^174+151564*p^33*q^176+10342766*p^31* q^178+126505748*p^29*q^180+262486199*p^27*q^182+105012256*p^25*q^184+10604520*p ^23*q^186+695546*p^21*q^188+20086*p^19*q^190+5008*p^17*q^192+11174*p^34*q^174+ 1184150*p^32*q^176+41641884*p^30*q^178+212715162*p^28*q^180+205583008*p^26*q^ 182+39000528*p^24*q^184+2652238*p^22*q^186+210534*p^20*q^188+1308*p^18*q^190+ 424*p^16*q^192+296*p^35*q^172+115261*p^33*q^174+7474674*p^31*q^176+106173060*p^ 29*q^178+252745586*p^27*q^180+111414091*p^25*q^182+12198188*p^23*q^184+678716*p ^21*q^186+32014*p^19*q^188+1252*p^17*q^190+12*p^15*q^192+86*p^36*q^170+6834*p^ 34*q^172+797436*p^32*q^174+31306502*p^30*q^176+187751792*p^28*q^178+210353737*p ^26*q^180+44973220*p^24*q^182+3306496*p^22*q^184+282976*p^20*q^186+2902*p^18*q^ 188+1594*p^16*q^190+96*p^35*q^170+63670*p^33*q^172+4783035*p^31*q^174+88852402* p^29*q^176+238647342*p^27*q^178+122590740*p^25*q^180+13742405*p^23*q^182+765470 *p^21*q^184+43148*p^19*q^186+48*p^17*q^188+14*p^15*q^190+4*p^36*q^168+2420*p^34 *q^170+501059*p^32*q^172+23605270*p^30*q^174+169314407*p^28*q^176+211506028*p^ 26*q^178+49746765*p^24*q^180+3987858*p^22*q^182+256826*p^20*q^184+3744*p^18*q^ 186+940*p^16*q^188+512*p^35*q^168+45788*p^33*q^170+3408680*p^31*q^172+71745989* p^29*q^174+225305070*p^27*q^176+127707138*p^25*q^178+16181968*p^23*q^180+842877 *p^21*q^182+83978*p^19*q^184+300*p^17*q^186+220*p^15*q^188+1628*p^34*q^168+ 324300*p^32*q^170+16650231*p^30*q^172+146361528*p^28*q^174+212749536*p^26*q^176 +56668868*p^24*q^178+4645785*p^22*q^180+282100*p^20*q^182+5556*p^18*q^184+180*p ^35*q^166+19692*p^33*q^168+2202334*p^31*q^170+58053304*p^29*q^172+208848623*p^ 27*q^174+137486354*p^25*q^176+18355337*p^23*q^178+1102622*p^21*q^180+93518*p^19 *q^182+264*p^17*q^184+378*p^15*q^186+1882*p^34*q^166+215250*p^32*q^168+11795196 *p^30*q^170+128103499*p^28*q^172+207990224*p^26*q^174+62902228*p^24*q^176+ 5312284*p^22*q^178+241887*p^20*q^180+14456*p^18*q^182+12*p^16*q^184+8*p^14*q^ 186+8*p^35*q^164+12004*p^33*q^166+1446726*p^31*q^168+45355146*p^29*q^170+ 193779402*p^27*q^172+142893740*p^25*q^174+21229552*p^23*q^176+1403673*p^21*q^ 178+109266*p^19*q^180+504*p^17*q^182+1772*p^34*q^164+135280*p^32*q^166+8445562* p^30*q^168+107146692*p^28*q^170+204397309*p^26*q^172+68629052*p^24*q^174+ 6180718*p^22*q^176+253420*p^20*q^178+24172*p^18*q^180+12*p^16*q^182+76*p^14*q^ 184+8114*p^33*q^164+917218*p^31*q^166+33688530*p^29*q^168+175703634*p^27*q^170+ 150671202*p^25*q^172+24916873*p^23*q^174+1703250*p^21*q^176+115199*p^19*q^178+ 1180*p^17*q^180+3*p^36*q^160+252*p^34*q^162+66342*p^32*q^164+5625428*p^30*q^166 +92842248*p^28*q^168+196772820*p^26*q^170+75735409*p^24*q^172+6898664*p^22*q^ 174+326446*p^20*q^176+28284*p^18*q^178+32*p^16*q^180+8544*p^33*q^162+664412*p^ 31*q^164+25620171*p^29*q^166+158082834*p^27*q^168+152415979*p^25*q^170+28136582 *p^23*q^172+1995654*p^21*q^174+78508*p^19*q^176+4180*p^17*q^178+6*p^13*q^182+ 156*p^34*q^160+48204*p^32*q^162+3746728*p^30*q^164+73891272*p^28*q^166+ 190157149*p^26*q^168+82223128*p^24*q^170+8359489*p^22*q^172+463002*p^20*q^174+ 48754*p^18*q^176+32*p^16*q^178+39*p^35*q^158+3364*p^33*q^160+356058*p^31*q^162+ 18375896*p^29*q^164+140246519*p^27*q^166+157611050*p^25*q^168+32106013*p^23*q^ 170+2254302*p^21*q^172+72574*p^19*q^174+3948*p^17*q^176+8*p^34*q^158+31466*p^32 *q^160+2608792*p^30*q^162+60491059*p^28*q^164+179300088*p^26*q^166+89291001*p^ 24*q^168+9504978*p^22*q^170+571284*p^20*q^172+39368*p^18*q^174+404*p^16*q^176+ 2108*p^33*q^158+243968*p^31*q^160+13146623*p^29*q^162+123822402*p^27*q^164+ 155939371*p^25*q^166+36135070*p^23*q^168+2618124*p^21*q^170+91132*p^19*q^172+ 11658*p^17*q^174+204*p^34*q^156+22402*p^32*q^158+1679648*p^30*q^160+46629312*p^ 28*q^162+168255391*p^26*q^164+95448864*p^24*q^166+11421169*p^22*q^168+705218*p^ 20*q^170+31612*p^18*q^172+328*p^16*q^174+376*p^33*q^156+143233*p^31*q^158+ 9030414*p^29*q^160+105970543*p^27*q^162+158365372*p^25*q^164+40546906*p^23*q^ 166+2971810*p^21*q^168+129748*p^19*q^170+15312*p^17*q^172+16*p^15*q^174+60*p^34 *q^154+13744*p^32*q^156+1053936*p^30*q^158+36361731*p^28*q^160+155230842*p^26*q ^162+101331193*p^24*q^164+13103462*p^22*q^166+839432*p^20*q^168+18408*p^18*q^ 170+1332*p^16*q^172+581*p^33*q^154+101054*p^31*q^156+6395836*p^29*q^158+ 90196834*p^27*q^160+154527241*p^25*q^162+45412754*p^23*q^164+3470224*p^21*q^166 +170240*p^19*q^168+15782*p^17*q^170+24*p^15*q^172+6344*p^32*q^154+699638*p^30*q ^156+26500262*p^28*q^158+142873493*p^26*q^160+105163166*p^24*q^162+15409388*p^ 22*q^164+977826*p^20*q^166+21986*p^18*q^168+3344*p^16*q^170+3*p^35*q^150+670*p^ 33*q^152+66899*p^31*q^154+4146974*p^29*q^156+73873900*p^27*q^158+152378128*p^25 *q^160+50750675*p^23*q^162+4071506*p^21*q^164+235427*p^19*q^166+10902*p^17*q^ 168+44*p^15*q^170+1755*p^32*q^152+415022*p^30*q^154+19611589*p^28*q^156+ 128555350*p^26*q^158+111054786*p^24*q^160+17362882*p^22*q^162+1059787*p^20*q^ 164+29740*p^18*q^166+4588*p^16*q^168+50*p^33*q^150+45736*p^31*q^152+2898861*p^ 29*q^154+60837688*p^27*q^156+145075356*p^25*q^158+55138554*p^23*q^160+4897007*p ^21*q^162+298788*p^19*q^164+3258*p^17*q^166+396*p^15*q^168+39*p^34*q^148+3380*p ^32*q^150+295564*p^30*q^152+13837284*p^28*q^154+113485656*p^26*q^156+112763782* p^24*q^158+20566307*p^22*q^160+1204214*p^20*q^162+47111*p^18*q^164+6508*p^16*q^ 166+48*p^33*q^148+14406*p^31*q^150+1728912*p^29*q^152+46822063*p^27*q^154+ 141446902*p^25*q^156+60740442*p^23*q^158+5821974*p^21*q^160+362098*p^19*q^162+ 4182*p^17*q^164+592*p^15*q^166+1008*p^32*q^148+204410*p^30*q^150+9938085*p^28*q ^152+100001372*p^26*q^154+115341806*p^24*q^156+22756414*p^22*q^158+1353336*p^20 *q^160+64376*p^18*q^162+1660*p^16*q^164+20*p^14*q^166+204*p^33*q^146+13270*p^31 *q^148+1208225*p^29*q^150+36469552*p^27*q^152+130125361*p^25*q^154+65540828*p^ 23*q^156+6922322*p^21*q^158+394462*p^19*q^160+6103*p^17*q^162+2076*p^15*q^164+ 592*p^32*q^146+108969*p^30*q^148+6572636*p^28*q^150+85082336*p^26*q^152+ 116235506*p^24*q^154+26430280*p^22*q^156+1662408*p^20*q^158+106596*p^18*q^160+ 440*p^16*q^162+24*p^14*q^164+60*p^33*q^144+7714*p^31*q^146+785812*p^29*q^148+ 27225245*p^27*q^150+123197174*p^25*q^152+69551512*p^23*q^154+8045300*p^21*q^156 +412982*p^19*q^158+8848*p^17*q^160+1212*p^15*q^162+621*p^32*q^144+60356*p^30*q^ 146+4414708*p^28*q^148+70713952*p^26*q^150+116386529*p^24*q^152+29685802*p^22*q ^154+2030318*p^20*q^156+125896*p^18*q^158+486*p^16*q^160+296*p^14*q^162+3972*p^ 31*q^144+528949*p^29*q^146+20234852*p^27*q^148+111791914*p^25*q^150+74302970*p^ 23*q^152+9234934*p^21*q^154+440688*p^19*q^156+19618*p^17*q^158+20*p^15*q^160+ 634*p^32*q^142+41918*p^30*q^144+3010678*p^28*q^146+57609395*p^26*q^148+ 112960784*p^24*q^150+33262017*p^22*q^152+2524460*p^20*q^154+144886*p^18*q^156+ 852*p^16*q^158+492*p^14*q^160+2499*p^31*q^142+300204*p^29*q^144+13899052*p^27*q ^146+101626850*p^25*q^148+78144390*p^23*q^150+11167956*p^21*q^152+511260*p^19*q ^154+31398*p^17*q^156+20*p^15*q^158+12*p^13*q^160+66*p^32*q^140+19972*p^30*q^ 142+1959407*p^28*q^144+46229448*p^26*q^146+111509046*p^24*q^148+36564334*p^22*q ^150+2805612*p^20*q^152+154116*p^18*q^154+1770*p^16*q^156+2744*p^31*q^140+ 201571*p^29*q^142+10184596*p^27*q^144+88204557*p^25*q^146+80922226*p^23*q^148+ 12560935*p^21*q^150+677206*p^19*q^152+38458*p^17*q^154+52*p^15*q^156+100*p^13*q ^158+42*p^32*q^138+15240*p^30*q^140+1300362*p^28*q^142+35126806*p^26*q^144+ 105911930*p^24*q^146+40793234*p^22*q^148+3610054*p^20*q^150+139200*p^18*q^152+ 5488*p^16*q^154+1148*p^31*q^138+98150*p^29*q^140+6599554*p^27*q^142+77702108*p^ 25*q^144+83033122*p^23*q^146+14754676*p^21*q^148+769401*p^19*q^150+57994*p^17*q ^152+56*p^15*q^154+8518*p^30*q^138+847531*p^28*q^140+26928042*p^26*q^142+ 101250877*p^24*q^144+44231972*p^22*q^146+4085690*p^20*q^148+156212*p^18*q^150+ 5874*p^16*q^152+8*p^12*q^156+504*p^31*q^136+76294*p^29*q^138+4638876*p^27*q^140 +64442010*p^25*q^142+84469842*p^23*q^144+16507386*p^21*q^146+1007426*p^19*q^148 +54294*p^17*q^150+564*p^15*q^152+7336*p^30*q^136+491414*p^28*q^138+19419739*p^ 26*q^140+92777254*p^24*q^142+48485168*p^22*q^144+4951424*p^20*q^146+182802*p^18 *q^148+14240*p^16*q^150+69*p^31*q^134+37484*p^29*q^136+3100138*p^27*q^138+ 53396690*p^25*q^140+85165789*p^23*q^142+19144196*p^21*q^144+1233548*p^19*q^146+ 48180*p^17*q^148+528*p^15*q^150+3536*p^30*q^134+309379*p^28*q^136+13814764*p^26 *q^138+86384711*p^24*q^140+50854382*p^22*q^142+5673660*p^20*q^144+224706*p^18*q ^146+19082*p^16*q^148+24*p^14*q^150+28636*p^29*q^134+2034902*p^27*q^136+ 42887016*p^25*q^138+83781194*p^23*q^140+21842068*p^21*q^142+1478440*p^19*q^144+ 40950*p^17*q^146+1740*p^15*q^148+1371*p^30*q^132+197980*p^28*q^134+9774305*p^26 *q^136+75306218*p^24*q^138+54917246*p^22*q^140+6543274*p^20*q^142+327214*p^18*q ^144+20400*p^16*q^146+36*p^14*q^148+36*p^31*q^130+18652*p^29*q^132+1222958*p^27 *q^134+32925638*p^25*q^136+82580301*p^23*q^138+24451194*p^21*q^140+1808284*p^19 *q^142+39658*p^17*q^144+4216*p^15*q^146+90*p^30*q^130+105674*p^28*q^132+6731950 *p^26*q^134+67734395*p^24*q^136+56728906*p^22*q^138+7861494*p^20*q^140+393284*p ^18*q^142+15648*p^16*q^144+68*p^14*q^146+10153*p^29*q^130+858494*p^27*q^132+ 24929513*p^25*q^134+79063642*p^23*q^136+26922153*p^21*q^138+1946498*p^19*q^140+ 63986*p^17*q^142+5754*p^15*q^144+474*p^30*q^128+80502*p^28*q^130+4446052*p^26*q ^132+56311798*p^24*q^134+59407445*p^22*q^136+9329574*p^20*q^138+560132*p^18*q^ 140+6916*p^16*q^142+520*p^14*q^144+2744*p^29*q^128+450698*p^27*q^130+18162668*p ^25*q^132+74667932*p^23*q^134+30321708*p^21*q^136+2345190*p^19*q^138+81596*p^17 *q^140+8054*p^15*q^142+12*p^30*q^126+47795*p^28*q^128+3046498*p^26*q^130+ 47864616*p^24*q^132+60566430*p^22*q^134+10611808*p^20*q^136+575398*p^18*q^138+ 8270*p^16*q^140+760*p^14*q^142+2742*p^29*q^126+318746*p^27*q^128+13100730*p^25* q^130+69055206*p^23*q^132+32180158*p^21*q^134+2885424*p^19*q^136+146700*p^17*q^ 138+2506*p^15*q^140+28*p^13*q^142+24558*p^28*q^126+1875945*p^26*q^128+37447380* p^24*q^130+61849021*p^22*q^132+12591194*p^20*q^134+678888*p^18*q^136+11784*p^16 *q^138+2558*p^14*q^140+860*p^29*q^124+192479*p^27*q^126+9158458*p^25*q^128+ 62884870*p^23*q^130+35354710*p^21*q^132+3395867*p^19*q^134+170380*p^17*q^136+ 670*p^15*q^138+34*p^13*q^140+12234*p^28*q^124+1181348*p^26*q^126+29579995*p^24* q^128+60637812*p^22*q^130+14205863*p^20*q^132+778848*p^18*q^134+25344*p^16*q^ 136+1512*p^14*q^138+48*p^29*q^122+121642*p^27*q^124+6347245*p^25*q^126+56240744 *p^23*q^128+37651897*p^21*q^130+4154456*p^19*q^132+198360*p^17*q^134+1204*p^15* q^136+372*p^13*q^138+4*p^30*q^120+8940*p^28*q^122+766085*p^26*q^124+22082830*p^ 24*q^126+59158630*p^22*q^128+15884238*p^20*q^130+918992*p^18*q^132+42664*p^16*q ^134+28*p^14*q^136+48*p^29*q^120+62464*p^27*q^122+4037392*p^25*q^124+47499015*p ^23*q^126+40916900*p^21*q^128+5103795*p^19*q^130+240004*p^17*q^132+2298*p^15*q^ 134+606*p^13*q^136+1230*p^28*q^120+466560*p^26*q^122+16641577*p^24*q^124+ 57692124*p^22*q^126+17631546*p^20*q^128+1097928*p^18*q^130+46508*p^16*q^132+72* p^14*q^134+16*p^12*q^136+48*p^29*q^118+45024*p^27*q^120+2771688*p^25*q^122+ 39927684*p^23*q^124+40918610*p^21*q^126+5937752*p^19*q^128+238772*p^17*q^130+ 7432*p^15*q^132+1050*p^28*q^118+292674*p^26*q^120+11538740*p^24*q^122+54159378* p^22*q^124+20423238*p^20*q^126+1465871*p^18*q^128+78770*p^16*q^130+80*p^14*q^ 132+124*p^12*q^134+15934*p^27*q^118+1658496*p^25*q^120+32072982*p^23*q^122+ 43213430*p^21*q^124+6689784*p^19*q^126+259062*p^17*q^128+7142*p^15*q^130+261*p^ 28*q^116+174086*p^26*q^118+8318710*p^24*q^120+49623548*p^22*q^122+22279476*p^20 *q^124+1828920*p^18*q^126+75541*p^16*q^128+756*p^14*q^130+9420*p^27*q^116+ 1131273*p^25*q^118+25155208*p^23*q^120+43076920*p^21*q^122+7817852*p^19*q^124+ 326360*p^17*q^126+18184*p^15*q^128+10*p^11*q^132+108*p^28*q^114+101866*p^26*q^ 116+5349352*p^24*q^118+44576552*p^22*q^120+24118640*p^20*q^122+2239476*p^18*q^ 124+73868*p^16*q^126+712*p^14*q^128+2497*p^27*q^114+657228*p^25*q^116+19141130* p^23*q^118+43728856*p^21*q^120+9263049*p^19*q^122+448010*p^17*q^124+23854*p^15* q^126+32*p^13*q^128+24*p^28*q^112+53136*p^26*q^114+3634680*p^24*q^116+38257218* p^22*q^118+26081356*p^20*q^120+2501846*p^18*q^122+65414*p^16*q^124+2200*p^14*q^ 126+1084*p^27*q^112+422864*p^25*q^114+14084328*p^23*q^116+42262734*p^21*q^118+ 10545190*p^19*q^120+613953*p^17*q^122+26364*p^15*q^124+48*p^13*q^126+26298*p^26 *q^112+2375956*p^24*q^114+32144791*p^22*q^116+27499686*p^20*q^118+3075738*p^18* q^120+83494*p^16*q^122+5170*p^14*q^124+540*p^27*q^110+239898*p^25*q^112+9653031 *p^23*q^114+40897684*p^21*q^116+12117542*p^19*q^118+756062*p^17*q^120+21536*p^ 15*q^122+92*p^13*q^124+6620*p^26*q^110+1456758*p^24*q^112+26595362*p^22*q^114+ 29167363*p^20*q^116+3592030*p^18*q^118+120840*p^16*q^120+6976*p^14*q^122+60*p^ 27*q^108+155676*p^25*q^110+7030404*p^23*q^112+37073922*p^21*q^114+13366732*p^19 *q^116+879866*p^17*q^118+12272*p^15*q^120+644*p^13*q^122+5857*p^26*q^108+908688 *p^24*q^110+20134840*p^22*q^112+30025990*p^20*q^114+4434252*p^18*q^116+200036*p ^16*q^118+10006*p^14*q^120+18*p^27*q^106+51092*p^25*q^108+4484956*p^23*q^110+ 34577964*p^21*q^112+15088433*p^19*q^114+1049296*p^17*q^116+16302*p^15*q^118+928 *p^13*q^120+1204*p^26*q^106+604398*p^24*q^108+15604866*p^22*q^110+30557462*p^20 *q^112+5020490*p^18*q^114+227045*p^16*q^116+3136*p^14*q^118+36*p^12*q^120+34888 *p^25*q^106+2985764*p^23*q^108+29336883*p^21*q^110+16380584*p^19*q^112+1305722* p^17*q^114+36192*p^15*q^116+3076*p^13*q^118+348*p^26*q^104+316010*p^24*q^106+ 11247327*p^22*q^108+30129490*p^20*q^110+6173040*p^18*q^112+286724*p^16*q^114+ 1596*p^14*q^116+44*p^12*q^118+12*p^27*q^102+13608*p^25*q^104+1900198*p^23*q^106 +25140392*p^21*q^108+17901428*p^19*q^110+1521224*p^17*q^112+51827*p^15*q^114+ 1792*p^13*q^116+36*p^26*q^102+158836*p^24*q^104+7951720*p^22*q^106+29514417*p^ 20*q^108+6946834*p^18*q^110+358174*p^16*q^112+3520*p^14*q^114+448*p^12*q^116+ 4042*p^25*q^102+1257346*p^23*q^104+20247774*p^21*q^106+19091916*p^19*q^108+ 1899914*p^17*q^110+64076*p^15*q^112+92*p^13*q^114+186*p^26*q^100+94226*p^24*q^ 102+5344388*p^22*q^104+27238106*p^20*q^106+7998053*p^18*q^108+408984*p^16*q^110 +9116*p^14*q^112+720*p^12*q^114+1374*p^25*q^100+669135*p^23*q^102+15864572*p^21 *q^104+20243087*p^19*q^106+2411616*p^17*q^108+98552*p^15*q^110+144*p^13*q^112+ 20*p^11*q^114+31002*p^24*q^100+3657606*p^22*q^102+25335439*p^20*q^104+9001016*p ^18*q^106+454952*p^16*q^108+9572*p^14*q^110+1236*p^25*q^98+425732*p^23*q^100+ 11913992*p^21*q^102+20611274*p^19*q^104+2800819*p^17*q^106+114274*p^15*q^108+ 962*p^13*q^110+148*p^11*q^112+6*p^26*q^96+16580*p^24*q^98+2297703*p^22*q^100+ 21583406*p^20*q^102+10284104*p^18*q^104+649134*p^16*q^106+21432*p^14*q^108+240* p^25*q^96+186646*p^23*q^98+8539452*p^21*q^100+21125795*p^19*q^102+3398686*p^17* q^104+111768*p^15*q^106+932*p^13*q^108+6282*p^24*q^96+1471672*p^22*q^98+ 18838623*p^20*q^100+11084102*p^18*q^102+777302*p^16*q^104+30618*p^14*q^106+40*p ^12*q^108+12*p^10*q^110+78*p^25*q^94+106486*p^23*q^96+6026444*p^21*q^98+ 20269508*p^19*q^100+3979392*p^17*q^102+134560*p^15*q^104+2630*p^13*q^106+3248*p ^24*q^94+823538*p^22*q^96+14772558*p^20*q^98+12423068*p^18*q^100+1044542*p^16*q ^102+34896*p^14*q^104+60*p^12*q^106+40887*p^23*q^94+4060382*p^21*q^96+19374778* p^19*q^98+4640102*p^17*q^100+166175*p^15*q^102+6132*p^13*q^104+756*p^24*q^92+ 462598*p^22*q^94+11754184*p^20*q^96+13153106*p^18*q^98+1247192*p^16*q^100+31496 *p^14*q^102+116*p^12*q^104+20956*p^23*q^92+2636698*p^21*q^94+17763644*p^19*q^96 +5246609*p^17*q^98+249010*p^15*q^100+8776*p^13*q^102+252*p^24*q^90+247572*p^22* q^92+8583610*p^20*q^94+13720712*p^18*q^96+1567808*p^16*q^98+27888*p^14*q^100+ 768*p^12*q^102+12*p^25*q^88+7582*p^23*q^90+1558784*p^21*q^92+15518986*p^19*q^94 +6297706*p^17*q^96+320987*p^15*q^98+11816*p^13*q^100+103100*p^22*q^90+6291906*p ^20*q^92+14000116*p^18*q^94+1773436*p^16*q^96+41540*p^14*q^98+1140*p^12*q^100+ 3240*p^23*q^88+1020484*p^21*q^90+13088954*p^19*q^92+6873982*p^17*q^94+431032*p^ 15*q^96+5503*p^13*q^98+44*p^11*q^100+144*p^24*q^86+53892*p^22*q^88+4062362*p^20 *q^90+13806713*p^18*q^92+2227010*p^16*q^94+67476*p^14*q^96+3566*p^12*q^98+352*p ^23*q^86+467514*p^21*q^88+10653898*p^19*q^90+7855662*p^17*q^92+536220*p^15*q^94 +4124*p^13*q^96+54*p^11*q^98+22698*p^22*q^86+2891152*p^20*q^88+13074390*p^18*q^ 90+2588170*p^16*q^92+87324*p^14*q^94+2206*p^12*q^96+756*p^23*q^84+264271*p^21*q ^86+7959132*p^19*q^88+8315875*p^17*q^90+627344*p^15*q^92+11050*p^13*q^94+524*p^ 11*q^96+7220*p^22*q^84+1693836*p^20*q^86+12246822*p^18*q^88+3199336*p^16*q^90+ 144080*p^14*q^92+192*p^12*q^94+228*p^23*q^82+122096*p^21*q^84+5842415*p^19*q^86 +8836758*p^17*q^88+761136*p^15*q^90+11864*p^13*q^92+834*p^11*q^94+p^24*q^80+ 2868*p^22*q^82+964417*p^20*q^84+10630466*p^18*q^86+3768088*p^16*q^88+163316*p^ 14*q^90+1106*p^12*q^92+24*p^10*q^94+55947*p^21*q^82+4251830*p^19*q^84+9012403*p ^17*q^86+948284*p^15*q^88+28260*p^13*q^90+2472*p^22*q^80+528970*p^20*q^82+ 8599076*p^18*q^84+4211932*p^16*q^86+199470*p^14*q^88+1140*p^12*q^90+172*p^10*q^ 92+12*p^23*q^78+17822*p^21*q^80+2659960*p^19*q^82+9390100*p^17*q^84+1290775*p^ 15*q^86+40398*p^13*q^88+48*p^11*q^90+96*p^22*q^78+263350*p^20*q^80+7077826*p^18 *q^82+4637808*p^16*q^84+208006*p^14*q^86+3184*p^12*q^88+12826*p^21*q^78+1703714 *p^19*q^80+8507386*p^17*q^82+1547522*p^15*q^84+51858*p^13*q^86+72*p^11*q^88+14* p^9*q^90+166*p^22*q^76+118718*p^20*q^78+5192749*p^18*q^80+5294564*p^16*q^82+ 324618*p^14*q^84+7776*p^12*q^86+2850*p^21*q^76+919173*p^19*q^78+7989478*p^17*q^ 80+1829573*p^15*q^82+45788*p^13*q^84+140*p^11*q^86+16*p^22*q^74+54200*p^20*q^76 +3822968*p^18*q^78+5657490*p^16*q^80+426410*p^14*q^82+11092*p^12*q^84+1410*p^21 *q^74+521502*p^19*q^76+6679230*p^17*q^78+2120646*p^15*q^80+57767*p^13*q^82+944* p^11*q^84+24376*p^20*q^74+2404928*p^18*q^76+5910366*p^16*q^78+577773*p^14*q^80+ 14904*p^12*q^82+284*p^21*q^72+238668*p^19*q^74+5716190*p^17*q^76+2501150*p^15*q ^78+86438*p^13*q^80+1362*p^11*q^82+8151*p^20*q^72+1525460*p^18*q^74+5759743*p^ 16*q^76+691902*p^14*q^78+8332*p^12*q^80+52*p^10*q^82+8*p^21*q^70+120394*p^19*q^ 72+4324167*p^17*q^74+2961012*p^15*q^76+128222*p^13*q^78+4180*p^11*q^80+3624*p^ 20*q^70+860788*p^18*q^72+5399630*p^16*q^74+821086*p^14*q^76+13356*p^12*q^78+64* p^10*q^80+20*p^21*q^68+44382*p^19*q^70+3071544*p^17*q^72+3327043*p^15*q^74+ 193720*p^13*q^76+2494*p^11*q^78+264*p^20*q^68+449782*p^18*q^70+5099262*p^16*q^ 72+1005092*p^14*q^74+17274*p^12*q^76+600*p^10*q^78+24576*p^19*q^68+2107803*p^17 *q^70+3390662*p^15*q^72+227062*p^13*q^74+1336*p^11*q^76+288*p^20*q^66+205756*p^ 18*q^68+4057510*p^16*q^70+1361588*p^14*q^72+39896*p^12*q^74+948*p^10*q^76+4374* p^19*q^66+1263426*p^17*q^68+3748984*p^15*q^70+264246*p^13*q^72+1442*p^11*q^74+ 28*p^9*q^76+10*p^20*q^64+106930*p^18*q^66+3362959*p^16*q^68+1462794*p^14*q^70+ 53274*p^12*q^72+56*p^10*q^74+2100*p^19*q^64+704770*p^17*q^66+3520732*p^15*q^68+ 388860*p^13*q^70+4822*p^11*q^72+196*p^9*q^74+38412*p^18*q^64+2403718*p^16*q^66+ 1824372*p^14*q^68+65724*p^12*q^70+84*p^10*q^72+438*p^19*q^62+360536*p^17*q^64+ 3335708*p^15*q^66+470740*p^13*q^68+9418*p^11*q^70+11584*p^18*q^62+1625875*p^16* q^64+1999032*p^14*q^66+83811*p^12*q^68+244*p^10*q^70+16*p^8*q^72+186528*p^17*q^ 62+2930138*p^15*q^64+600568*p^13*q^66+13522*p^11*q^68+5023*p^18*q^60+941922*p^ 16*q^62+2126074*p^14*q^64+115300*p^12*q^66+1094*p^10*q^68+30*p^19*q^58+60698*p^ 17*q^60+2369432*p^15*q^62+809794*p^13*q^64+19411*p^11*q^66+288*p^18*q^58+575254 *p^16*q^60+2190438*p^14*q^62+136344*p^12*q^64+1600*p^10*q^66+29819*p^17*q^58+ 1700326*p^15*q^60+896457*p^13*q^62+21910*p^11*q^64+60*p^9*q^66+390*p^18*q^56+ 253084*p^16*q^58+2144450*p^14*q^60+236924*p^12*q^62+4726*p^10*q^64+5466*p^17*q^ 56+1162764*p^15*q^58+1083750*p^13*q^60+21272*p^11*q^62+74*p^9*q^64+119860*p^16* q^56+1917390*p^14*q^58+278096*p^12*q^60+4264*p^10*q^62+2482*p^17*q^54+697350*p^ 15*q^56+1169740*p^13*q^58+46634*p^11*q^60+676*p^9*q^62+5*p^18*q^52+41336*p^16*q ^54+1528270*p^14*q^56+378292*p^12*q^58+2316*p^10*q^60+420*p^17*q^52+362885*p^15 *q^54+1336608*p^13*q^56+67266*p^11*q^58+1126*p^9*q^60+12346*p^16*q^52+1163108*p ^14*q^54+426067*p^12*q^56+5272*p^10*q^58+32*p^8*q^60+55*p^17*q^50+172090*p^15*q ^52+1265008*p^13*q^54+97970*p^11*q^56+150*p^9*q^58+4916*p^16*q^50+747501*p^14*q ^52+558542*p^12*q^54+12030*p^10*q^56+220*p^8*q^58+56172*p^15*q^50+1171830*p^13* q^52+123718*p^11*q^54+240*p^9*q^56+380*p^16*q^48+456864*p^14*q^50+676086*p^12*q ^52+17716*p^10*q^54+26812*p^15*q^48+930530*p^13*q^50+144872*p^11*q^52+1345*p^9* q^54+18*p^7*q^56+140*p^16*q^46+192120*p^14*q^48+727058*p^12*q^50+32874*p^10*q^ 52+4288*p^15*q^46+745810*p^13*q^48+226704*p^11*q^50+1856*p^9*q^52+93836*p^14*q^ 46+701035*p^12*q^48+26310*p^10*q^50+68*p^8*q^52+1470*p^15*q^44+427934*p^13*q^46 +299256*p^11*q^48+6959*p^9*q^50+29509*p^14*q^44+687350*p^12*q^46+47962*p^10*q^ 48+84*p^8*q^50+70*p^15*q^42+228942*p^13*q^44+337168*p^11*q^46+5112*p^9*q^48+ 7820*p^14*q^42+573481*p^12*q^44+79538*p^10*q^46+846*p^8*q^48+6*p^15*q^40+109672 *p^13*q^42+365624*p^11*q^44+6138*p^9*q^46+1650*p^14*q^40+364078*p^12*q^42+ 113638*p^10*q^44+1304*p^8*q^46+32240*p^13*q^40+429069*p^11*q^42+13304*p^9*q^44+ 36*p^7*q^46+60*p^14*q^38+237376*p^12*q^40+124384*p^10*q^42+350*p^8*q^44+11510*p ^13*q^38+354004*p^11*q^40+25402*p^9*q^42+244*p^7*q^44+15*p^14*q^36+96764*p^12*q ^38+183798*p^10*q^40+1416*p^8*q^42+930*p^13*q^36+296726*p^11*q^38+33332*p^9*q^ 40+41854*p^12*q^36+198112*p^10*q^38+3138*p^8*q^40+20*p^6*q^42+225*p^13*q^34+ 178636*p^11*q^36+46964*p^9*q^38+76*p^7*q^40+8450*p^12*q^34+215915*p^10*q^36+ 7394*p^8*q^38+93266*p^11*q^34+67062*p^9*q^36+156*p^7*q^38+1397*p^12*q^32+184248 *p^10*q^34+8187*p^8*q^36+35306*p^11*q^32+88778*p^9*q^34+972*p^7*q^36+140*p^12*q ^30+124796*p^10*q^32+14438*p^8*q^34+6389*p^11*q^30+110986*p^9*q^32+1515*p^7*q^ 34+76516*p^10*q^30+20361*p^8*q^32+40*p^6*q^34+1400*p^11*q^28+92336*p^9*q^30+ 1826*p^7*q^32+21401*p^10*q^28+40600*p^8*q^30+268*p^6*q^32+21*p^11*q^26+87724*p^ 9*q^28+2506*p^7*q^30+5992*p^10*q^26+39604*p^8*q^28+108*p^6*q^30+42868*p^9*q^26+ 8982*p^7*q^28+22*p^5*q^30+504*p^10*q^24+51454*p^8*q^26+148*p^6*q^28+14834*p^9*q ^24+11144*p^7*q^26+45725*p^8*q^24+1032*p^6*q^26+3038*p^9*q^22+15386*p^7*q^24+ 22168*p^8*q^22+2420*p^6*q^24+56*p^9*q^20+25325*p^7*q^22+44*p^5*q^24+8316*p^8*q^ 20+2124*p^6*q^22+18588*p^7*q^20+362*p^5*q^22+616*p^8*q^18+7484*p^6*q^20+11835*p ^7*q^18+90*p^5*q^20+p^8*q^16+8440*p^6*q^18+24*p^4*q^20+2268*p^7*q^16+1121*p^5*q ^18+8766*p^6*q^16+36*p^7*q^14+2178*p^5*q^16+3840*p^6*q^14+61*p^4*q^16+3234*p^5* q^14+210*p^6*q^12+340*p^4*q^14+3300*p^5*q^12+528*p^4*q^12+462*p^5*q^10+26*p^3*q ^12+1476*p^4*q^10+26*p^3*q^10+495*p^4*q^8+326*p^3*q^8+286*p^3*q^6+28*p^2*q^6+91 *p^2*q^4+15*p*q^2+1 J[17](p, q), equals p^136*q^1632+16*p^135*q^1630+105*p^134*q^1628+30*p^134*q^1626+364*p^133*q^1626+ 379*p^133*q^1624+715*p^132*q^1624+28*p^133*q^1622+1898*p^132*q^1622+28*p^133*q^ 1620+792*p^131*q^1622+624*p^132*q^1620+4818*p^131*q^1620+394*p^132*q^1618+462*p ^130*q^1620+4272*p^131*q^1618+66*p^132*q^1616+6600*p^130*q^1618+2736*p^131*q^ 1616+120*p^129*q^1618+13278*p^130*q^1616+1330*p^131*q^1614+4830*p^129*q^1616+26 *p^132*q^1612+11814*p^130*q^1614+9*p^128*q^1616+98*p^131*q^1612+21180*p^129*q^ 1614+9810*p^130*q^1612+1764*p^128*q^1614+418*p^131*q^1610+30240*p^129*q^1612+ 2578*p^130*q^1610+18108*p^128*q^1612+48*p^131*q^1608+37444*p^129*q^1610+268*p^ 127*q^1612+3012*p^130*q^1608+43578*p^128*q^1610+21114*p^129*q^1608+8344*p^127*q ^1610+1220*p^130*q^1606+79512*p^128*q^1608+8*p^126*q^1610+14970*p^129*q^1606+ 35669*p^127*q^1608+162*p^130*q^1604+81242*p^128*q^1606+1932*p^126*q^1608+24*p^ 131*q^1602+11574*p^129*q^1604+92508*p^127*q^1606+118*p^130*q^1602+59142*p^128*q ^1604+17486*p^126*q^1606+3038*p^129*q^1602+164718*p^127*q^1604+168*p^125*q^1606 +316*p^130*q^1600+57938*p^128*q^1602+59248*p^126*q^1604+2159*p^129*q^1600+ 160656*p^127*q^1602+5124*p^125*q^1604+44*p^130*q^1598+27339*p^128*q^1600+177948 *p^126*q^1602+1920*p^129*q^1598+180052*p^127*q^1600+22708*p^125*q^1602+18692*p^ 128*q^1598+263578*p^126*q^1600+770*p^124*q^1602+1154*p^129*q^1596+134882*p^127* q^1598+103878*p^125*q^1600+10781*p^128*q^1596+354820*p^126*q^1598+5950*p^124*q^ 1600+172*p^129*q^1594+96851*p^127*q^1596+246034*p^125*q^1598+35*p^123*q^1600+ 9552*p^128*q^1594+383331*p^126*q^1596+33374*p^124*q^1598+84*p^129*q^1592+65504* p^127*q^1594+426278*p^125*q^1596+1120*p^123*q^1598+22*p^130*q^1590+3772*p^128*q ^1592+328282*p^126*q^1594+134914*p^124*q^1596+46632*p^127*q^1592+639916*p^125*q ^1594+5730*p^123*q^1596+1688*p^128*q^1590+286942*p^126*q^1592+298312*p^124*q^ 1594+105*p^122*q^1596+290*p^129*q^1588+33734*p^127*q^1590+704024*p^125*q^1592+ 45512*p^123*q^1594+388*p^128*q^1588+189082*p^126*q^1590+633668*p^124*q^1592+612 *p^122*q^1594+40*p^129*q^1586+17094*p^127*q^1588+782094*p^125*q^1590+126480*p^ 123*q^1592+1678*p^128*q^1586+167550*p^126*q^1588+908602*p^124*q^1590+8820*p^122 *q^1592+7516*p^127*q^1586+629820*p^125*q^1588+370614*p^123*q^1590+81*p^121*q^ 1592+1016*p^128*q^1584+111822*p^126*q^1586+1282725*p^124*q^1588+36320*p^122*q^ 1590+6845*p^127*q^1584+558726*p^125*q^1586+715311*p^123*q^1588+720*p^121*q^1590 +94*p^128*q^1582+64936*p^126*q^1584+1409984*p^124*q^1586+129931*p^122*q^1588+6* p^120*q^1590+9012*p^127*q^1582+473672*p^125*q^1584+1230438*p^123*q^1586+7820*p^ 121*q^1588+76*p^128*q^1580+35496*p^126*q^1582+1351124*p^124*q^1584+358802*p^122 *q^1586+2272*p^127*q^1580+341016*p^125*q^1582+1901916*p^123*q^1584+26430*p^121* q^1586+45584*p^126*q^1580+1333152*p^124*q^1582+712991*p^122*q^1584+1090*p^120*q ^1586+20*p^129*q^1576+1612*p^127*q^1578+210458*p^125*q^1580+2201200*p^123*q^ 1582+123430*p^121*q^1584+23512*p^126*q^1578+1165638*p^124*q^1580+1491048*p^122* q^1582+3195*p^120*q^1584+270*p^127*q^1576+181842*p^125*q^1578+2561772*p^123*q^ 1580+264444*p^121*q^1582+60*p^119*q^1584+264*p^128*q^1574+15476*p^126*q^1576+ 912534*p^124*q^1578+2242144*p^122*q^1580+27768*p^120*q^1582+168*p^127*q^1574+ 140912*p^125*q^1576+2608248*p^123*q^1578+712016*p^121*q^1580+350*p^119*q^1582+ 36*p^128*q^1572+6470*p^126*q^1574+680014*p^124*q^1576+3176888*p^122*q^1578+ 72835*p^120*q^1580+1472*p^127*q^1572+93820*p^125*q^1574+2558499*p^123*q^1576+ 1391622*p^121*q^1578+3240*p^119*q^1580+2782*p^126*q^1572+591664*p^124*q^1574+ 3875232*p^122*q^1576+214496*p^120*q^1578+30*p^118*q^1580+828*p^127*q^1570+62642 *p^125*q^1572+2128756*p^123*q^1574+2443320*p^121*q^1576+17186*p^119*q^1578+5822 *p^126*q^1570+424962*p^124*q^1572+4510150*p^122*q^1574+564746*p^120*q^1576+100* p^118*q^1578+84*p^127*q^1568+27562*p^125*q^1570+1893284*p^123*q^1572+3719626*p^ 121*q^1574+40972*p^119*q^1576+6344*p^126*q^1568+349900*p^124*q^1570+4679578*p^ 122*q^1572+1149416*p^120*q^1574+3040*p^118*q^1576+68*p^127*q^1566+29358*p^125*q ^1568+1520950*p^123*q^1570+5046076*p^121*q^1572+161420*p^119*q^1574+1986*p^126* q^1566+193845*p^124*q^1568+4495086*p^122*q^1570+2320488*p^120*q^1572+5382*p^118 *q^1574+27882*p^125*q^1566+1331164*p^123*q^1568+6508048*p^121*q^1570+351670*p^ 119*q^1572+260*p^117*q^1574+1336*p^126*q^1564+161680*p^124*q^1566+4143984*p^122 *q^1568+3588554*p^120*q^1570+32498*p^118*q^1572+18278*p^125*q^1564+950570*p^123 *q^1566+7384588*p^121*q^1568+937038*p^119*q^1570+730*p^117*q^1572+18*p^128*q^ 1560+278*p^126*q^1562+120952*p^124*q^1564+3744074*p^122*q^1566+5677031*p^120*q^ 1568+77948*p^118*q^1570+12364*p^125*q^1562+724803*p^123*q^1564+7891962*p^121*q^ 1566+1735540*p^119*q^1568+4288*p^117*q^1570+96*p^126*q^1560+95320*p^124*q^1562+ 3269045*p^122*q^1564+7758814*p^120*q^1566+244066*p^118*q^1568+120*p^116*q^1570+ 238*p^127*q^1558+6025*p^125*q^1560+585038*p^123*q^1562+7839658*p^121*q^1564+ 3141514*p^119*q^1566+14447*p^117*q^1568+64*p^126*q^1558+75012*p^124*q^1560+ 2539212*p^122*q^1562+9966899*p^120*q^1564+609956*p^118*q^1566+300*p^116*q^1568+ 32*p^127*q^1556+1748*p^125*q^1558+401078*p^123*q^1560+7857034*p^121*q^1562+ 5223525*p^119*q^1564+38042*p^117*q^1566+10*p^115*q^1568+1264*p^126*q^1556+54254 *p^124*q^1558+2275496*p^122*q^1560+11338928*p^120*q^1562+1175242*p^118*q^1564+ 2298*p^116*q^1566+1618*p^125*q^1556+342246*p^123*q^1558+6807751*p^121*q^1560+ 7979154*p^119*q^1562+159694*p^117*q^1564+744*p^126*q^1554+22348*p^124*q^1556+ 1631480*p^122*q^1558+13064702*p^120*q^1560+2345140*p^118*q^1562+3185*p^116*q^ 1564+3674*p^125*q^1554+286279*p^123*q^1556+6408192*p^121*q^1558+10924051*p^119* q^1560+316686*p^117*q^1562+280*p^115*q^1564+74*p^126*q^1552+17362*p^124*q^1554+ 1324146*p^122*q^1556+13128490*p^120*q^1558+4149732*p^118*q^1560+28494*p^116*q^ 1562+5682*p^125*q^1552+180308*p^123*q^1554+5439302*p^121*q^1556+14207064*p^119* q^1558+766897*p^117*q^1560+148*p^115*q^1562+60*p^126*q^1550+11778*p^124*q^1552+ 1109234*p^122*q^1554+13160832*p^120*q^1556+6851594*p^118*q^1558+66155*p^116*q^ 1560+20*p^114*q^1562+1718*p^125*q^1550+120248*p^123*q^1552+4444038*p^121*q^1554 +17392951*p^119*q^1556+1470548*p^117*q^1558+2872*p^115*q^1560+22142*p^124*q^ 1550+896172*p^122*q^1552+12877692*p^120*q^1554+10151374*p^118*q^1556+183970*p^ 116*q^1558+5*p^114*q^1560+1172*p^125*q^1548+79066*p^123*q^1550+3705819*p^121*q^ 1552+19083042*p^119*q^1554+2915798*p^117*q^1556+11728*p^115*q^1558+15334*p^124* q^1548+641034*p^122*q^1550+11667130*p^120*q^1552+14880386*p^118*q^1554+408374*p ^116*q^1556+112*p^114*q^1558+164*p^125*q^1546+68834*p^123*q^1548+3141680*p^121* q^1550+21261886*p^119*q^1552+4891586*p^117*q^1554+27692*p^115*q^1556+10446*p^ 124*q^1546+477302*p^122*q^1548+10466314*p^120*q^1550+19017535*p^118*q^1552+ 858344*p^116*q^1554+1626*p^114*q^1556+16*p^127*q^1542+84*p^125*q^1544+76786*p^ 123*q^1546+2581765*p^121*q^1548+21524390*p^119*q^1550+8325315*p^117*q^1552+ 100296*p^115*q^1554+4066*p^124*q^1544+304710*p^122*q^1546+8913467*p^120*q^1548+ 23909086*p^118*q^1550+1728628*p^116*q^1552+2066*p^114*q^1554+56*p^125*q^1542+ 58743*p^123*q^1544+2085764*p^121*q^1546+22119133*p^119*q^1548+12489692*p^117*q^ 1550+184478*p^115*q^1552+136*p^113*q^1554+212*p^126*q^1540+1418*p^124*q^1542+ 302474*p^122*q^1544+7913940*p^120*q^1546+27454386*p^118*q^1548+3172230*p^116*q^ 1550+18773*p^114*q^1552+39278*p^123*q^1542+1485948*p^121*q^1544+20294364*p^119* q^1546+18306968*p^117*q^1548+463842*p^115*q^1550+56*p^113*q^1552+28*p^126*q^ 1538+1368*p^124*q^1540+250372*p^122*q^1542+6846356*p^120*q^1544+31585556*p^118* q^1546+5587530*p^116*q^1548+34596*p^114*q^1550+5*p^112*q^1552+1128*p^125*q^1538 +15748*p^123*q^1540+1190930*p^121*q^1542+19046783*p^119*q^1544+23924212*p^117*q ^1546+909452*p^115*q^1548+1936*p^113*q^1550+226*p^124*q^1538+216266*p^122*q^ 1540+5612352*p^120*q^1542+33910742*p^118*q^1544+9270366*p^116*q^1546+91858*p^ 114*q^1548+660*p^125*q^1536+14632*p^123*q^1538+989759*p^121*q^1540+17420758*p^ 119*q^1542+30430642*p^117*q^1544+1800080*p^115*q^1546+6594*p^113*q^1548+3292*p^ 124*q^1536+124942*p^122*q^1538+4419582*p^120*q^1540+34164244*p^118*q^1542+ 14637674*p^116*q^1544+215684*p^114*q^1546+54*p^112*q^1548+64*p^125*q^1534+5244* p^123*q^1536+851778*p^121*q^1538+15787268*p^119*q^1540+37986192*p^117*q^1542+ 3224742*p^115*q^1544+12502*p^113*q^1546+4940*p^124*q^1534+95910*p^122*q^1536+ 3729930*p^120*q^1538+34291438*p^118*q^1540+20045082*p^116*q^1542+445512*p^114*q ^1544+1000*p^112*q^1546+52*p^125*q^1532+8238*p^123*q^1534+665667*p^121*q^1536+ 13372926*p^119*q^1538+43322661*p^117*q^1540+6187824*p^115*q^1542+44319*p^113*q^ 1544+1468*p^124*q^1532+57014*p^122*q^1534+2973103*p^120*q^1536+33256170*p^118*q ^1538+28754338*p^116*q^1540+844894*p^114*q^1542+1116*p^112*q^1544+18138*p^123*q ^1532+486730*p^121*q^1534+11794532*p^119*q^1536+48259540*p^117*q^1538+9509560*p ^115*q^1540+86698*p^113*q^1542+76*p^111*q^1544+976*p^124*q^1530+38720*p^122*q^ 1532+2597508*p^120*q^1534+31225994*p^118*q^1536+37057224*p^116*q^1538+1823788*p ^114*q^1540+7418*p^112*q^1542+12504*p^123*q^1530+369470*p^121*q^1532+9632862*p^ 119*q^1534+51763114*p^117*q^1536+15044392*p^115*q^1538+191140*p^113*q^1540+40*p ^111*q^1542+140*p^124*q^1528+49712*p^122*q^1530+2026944*p^120*q^1532+28783644*p ^118*q^1534+46969193*p^116*q^1536+3321622*p^114*q^1538+14184*p^112*q^1540+8422* p^123*q^1528+239968*p^121*q^1530+8357850*p^119*q^1532+53592772*p^117*q^1534+ 22175772*p^115*q^1536+384626*p^113*q^1538+922*p^111*q^1540+72*p^124*q^1526+ 54640*p^122*q^1528+1673014*p^120*q^1530+26068185*p^118*q^1532+55683520*p^116*q^ 1534+5692756*p^114*q^1536+36830*p^112*q^1538+3432*p^123*q^1526+199508*p^121*q^ 1528+7034766*p^119*q^1530+53357563*p^117*q^1532+31128288*p^115*q^1534+881726*p^ 113*q^1536+2424*p^111*q^1538+14*p^126*q^1522+48*p^124*q^1524+45734*p^122*q^1526 +1215766*p^120*q^1528+22637892*p^118*q^1530+65452440*p^116*q^1532+9565618*p^114 *q^1534+69796*p^112*q^1536+72*p^110*q^1538+1194*p^123*q^1524+178790*p^121*q^ 1526+5908592*p^119*q^1528+52939432*p^117*q^1530+41741085*p^115*q^1532+1584248*p ^113*q^1534+4400*p^111*q^1536+30712*p^122*q^1524+993058*p^120*q^1526+20318357*p ^118*q^1528+71482018*p^116*q^1530+14750112*p^114*q^1532+171392*p^112*q^1534+402 *p^110*q^1536+186*p^125*q^1520+1216*p^123*q^1522+181098*p^121*q^1524+4775934*p^ 119*q^1526+49576800*p^117*q^1528+54052896*p^115*q^1530+3116318*p^113*q^1532+ 15204*p^111*q^1534+13012*p^122*q^1522+707972*p^120*q^1524+17408680*p^118*q^1526 +78104521*p^116*q^1528+22350058*p^114*q^1530+338980*p^112*q^1532+174*p^110*q^ 1534+24*p^125*q^1518+176*p^123*q^1520+154156*p^121*q^1522+4022968*p^119*q^1524+ 46685970*p^117*q^1526+67528221*p^115*q^1528+5122868*p^113*q^1530+23042*p^111*q^ 1532+52*p^109*q^1534+992*p^124*q^1518+12400*p^122*q^1520+652118*p^120*q^1522+ 15080713*p^118*q^1524+80546622*p^116*q^1526+31392527*p^114*q^1528+781122*p^112* q^1530+2880*p^110*q^1532+112*p^123*q^1518+95094*p^121*q^1520+3103888*p^119*q^ 1522+42501934*p^117*q^1524+80316376*p^115*q^1526+8935284*p^113*q^1528+56550*p^ 111*q^1530+576*p^124*q^1516+4586*p^122*q^1518+582594*p^120*q^1520+12831748*p^ 118*q^1522+82344511*p^116*q^1524+43882966*p^114*q^1526+1377380*p^112*q^1528+ 3378*p^110*q^1530+4*p^108*q^1532+2762*p^123*q^1516+75952*p^121*q^1518+2471826*p ^119*q^1520+38621566*p^117*q^1522+93456405*p^115*q^1524+13580082*p^113*q^1526+ 147326*p^111*q^1528+252*p^109*q^1530+54*p^124*q^1514+2068*p^122*q^1516+458604*p ^120*q^1518+11112270*p^118*q^1520+80594458*p^116*q^1522+58165116*p^114*q^1524+ 2613368*p^112*q^1526+6528*p^110*q^1528+4340*p^123*q^1514+50714*p^121*q^1516+ 2144124*p^119*q^1518+34212928*p^117*q^1520+103741002*p^115*q^1522+20705562*p^ 113*q^1524+316084*p^111*q^1526+852*p^109*q^1528+44*p^124*q^1512+5196*p^122*q^ 1514+357994*p^120*q^1516+8852808*p^118*q^1518+78072438*p^116*q^1520+74841222*p^ 114*q^1522+4666692*p^112*q^1524+19222*p^110*q^1526+1226*p^123*q^1512+22392*p^ 121*q^1514+1736912*p^119*q^1516+30704952*p^117*q^1518+114056600*p^115*q^1520+ 30042392*p^113*q^1522+548519*p^111*q^1524+360*p^109*q^1526+15716*p^122*q^1512+ 305738*p^120*q^1514+7686617*p^118*q^1516+73982740*p^116*q^1518+91865035*p^114*q ^1520+7427780*p^112*q^1522+61918*p^110*q^1524+156*p^108*q^1526+840*p^123*q^1510 +17926*p^121*q^1512+1447948*p^119*q^1514+26469602*p^117*q^1516+117430348*p^115* q^1518+43068402*p^113*q^1520+1251702*p^111*q^1522+1614*p^109*q^1524+10218*p^122 *q^1510+177054*p^120*q^1512+6180274*p^118*q^1514+69002880*p^116*q^1516+ 112434504*p^114*q^1518+11833132*p^112*q^1520+92630*p^110*q^1522+116*p^123*q^ 1508+36368*p^121*q^1510+1250748*p^119*q^1512+23384386*p^117*q^1514+122325906*p^ 115*q^1516+57147016*p^113*q^1518+2116844*p^111*q^1520+8650*p^109*q^1522+12*p^ 107*q^1524+7256*p^122*q^1508+121116*p^120*q^1510+5240382*p^118*q^1512+63016930* p^116*q^1514+128810049*p^114*q^1516+18386350*p^112*q^1518+245293*p^110*q^1520+ 78*p^108*q^1522+60*p^123*q^1506+42818*p^121*q^1508+976098*p^119*q^1510+19891844 *p^117*q^1512+121559632*p^115*q^1514+77168422*p^113*q^1516+3702750*p^111*q^1518 +15896*p^109*q^1520+2940*p^122*q^1506+102840*p^120*q^1508+4324612*p^118*q^1510+ 57762828*p^116*q^1512+144683172*p^114*q^1514+26899846*p^112*q^1516+484720*p^110 *q^1518+648*p^108*q^1520+40*p^123*q^1504+36904*p^121*q^1506+693808*p^119*q^1508 +17014866*p^117*q^1510+119610008*p^115*q^1512+98901420*p^113*q^1514+6080295*p^ 111*q^1516+32858*p^109*q^1518+956*p^122*q^1504+125272*p^120*q^1506+3825414*p^ 118*q^1508+52106026*p^116*q^1510+159376707*p^114*q^1512+37941668*p^112*q^1514+ 924772*p^110*q^1516+2592*p^108*q^1518+12*p^125*q^1500+26581*p^121*q^1504+500048 *p^119*q^1506+14209885*p^117*q^1508+113731532*p^115*q^1510+122149874*p^113*q^ 1512+10035002*p^111*q^1514+90358*p^109*q^1516+12*p^107*q^1518+992*p^122*q^1502+ 126770*p^120*q^1504+3063186*p^118*q^1506+46479804*p^116*q^1508+169221474*p^114* q^1510+54537953*p^112*q^1512+1610598*p^110*q^1514+3530*p^108*q^1516+10060*p^121 *q^1502+419672*p^119*q^1504+12148246*p^117*q^1506+109365524*p^115*q^1508+ 146825730*p^113*q^1510+14723454*p^111*q^1512+173406*p^109*q^1514+264*p^107*q^ 1516+160*p^124*q^1498+104*p^122*q^1500+127374*p^120*q^1502+2387874*p^118*q^1504 +41263822*p^116*q^1506+175242162*p^114*q^1508+72893312*p^112*q^1510+2954611*p^ 110*q^1512+12514*p^108*q^1514+10394*p^121*q^1500+397728*p^119*q^1502+10673174*p ^117*q^1504+100974510*p^115*q^1506+172521954*p^113*q^1508+22559190*p^111*q^1510 +366776*p^109*q^1512+528*p^107*q^1514+20*p^124*q^1496+92*p^122*q^1498+71888*p^ 120*q^1500+1781620*p^118*q^1502+34932630*p^116*q^1504+178175826*p^114*q^1506+ 97224550*p^112*q^1508+4791600*p^110*q^1510+22478*p^108*q^1512+12*p^106*q^1514+ 856*p^123*q^1496+3116*p^121*q^1498+413899*p^119*q^1500+9018770*p^117*q^1502+ 96360819*p^115*q^1504+195162850*p^113*q^1506+32439680*p^111*q^1508+652812*p^109 *q^1510+1026*p^107*q^1512+36*p^122*q^1496+63952*p^120*q^1498+1504956*p^118*q^ 1500+30994752*p^116*q^1502+175570525*p^114*q^1504+123215904*p^112*q^1506+ 7612926*p^110*q^1508+72686*p^108*q^1510+70*p^106*q^1512+492*p^123*q^1494+1646*p ^121*q^1496+334598*p^119*q^1498+7170887*p^117*q^1500+86041380*p^115*q^1502+ 217386740*p^113*q^1504+47125112*p^111*q^1506+1276862*p^109*q^1508+2152*p^107*q^ 1510+2388*p^122*q^1494+36628*p^120*q^1496+1312566*p^118*q^1498+27385900*p^116*q ^1500+173324850*p^114*q^1502+154929179*p^112*q^1504+11541732*p^110*q^1506+ 113790*p^108*q^1508+24*p^106*q^1510+44*p^123*q^1492+908*p^121*q^1494+278722*p^ 119*q^1496+5826880*p^117*q^1498+77974195*p^115*q^1500+232094490*p^113*q^1502+ 64840247*p^111*q^1504+2170724*p^109*q^1506+9736*p^107*q^1508+4*p^105*q^1510+ 3704*p^122*q^1492+16870*p^120*q^1494+1178958*p^118*q^1496+23722694*p^116*q^1498 +168943704*p^114*q^1500+186610586*p^112*q^1502+17611471*p^110*q^1504+252968*p^ 108*q^1506+198*p^106*q^1508+36*p^123*q^1490+4318*p^121*q^1492+231168*p^119*q^ 1494+4890831*p^117*q^1496+69640448*p^115*q^1498+243362687*p^113*q^1500+87778782 *p^111*q^1502+3569589*p^109*q^1504+20906*p^107*q^1506+1036*p^122*q^1490+11736*p ^120*q^1492+1000068*p^118*q^1494+19695852*p^116*q^1496+159549748*p^114*q^1498+ 222996928*p^112*q^1500+26436584*p^110*q^1502+502356*p^108*q^1504+600*p^106*q^ 1506+13052*p^121*q^1490+123862*p^119*q^1492+4037406*p^117*q^1494+63735687*p^115 *q^1496+251883252*p^113*q^1498+115678097*p^111*q^1500+5364812*p^109*q^1502+ 32293*p^107*q^1504+12*p^105*q^1506+704*p^122*q^1488+10914*p^120*q^1490+958008*p ^118*q^1492+17009464*p^116*q^1494+150053320*p^114*q^1496+251804100*p^112*q^1498 +37685276*p^110*q^1500+953616*p^108*q^1502+3834*p^106*q^1504+8668*p^121*q^1488+ 95336*p^119*q^1490+3397640*p^117*q^1492+55559964*p^115*q^1494+255301487*p^113*q ^1496+149598208*p^111*q^1498+8919860*p^109*q^1500+87952*p^107*q^1502+92*p^122*q ^1486+27804*p^120*q^1488+651232*p^118*q^1490+14125198*p^116*q^1492+139236346*p^ 114*q^1494+284603923*p^112*q^1496+53678206*p^110*q^1498+1429644*p^108*q^1500+ 2430*p^106*q^1502+6096*p^121*q^1486+60309*p^119*q^1488+3206738*p^117*q^1490+ 49303622*p^115*q^1492+255389004*p^113*q^1494+187370203*p^111*q^1496+12945052*p^ 109*q^1498+203520*p^107*q^1500+456*p^105*q^1502+48*p^122*q^1484+34518*p^120*q^ 1486+523014*p^118*q^1488+11667324*p^116*q^1490+129910878*p^114*q^1492+305604836 *p^112*q^1494+74311544*p^110*q^1496+2544878*p^108*q^1498+10304*p^106*q^1500+ 2412*p^121*q^1484+67948*p^119*q^1486+2611445*p^117*q^1488+43141024*p^115*q^1490 +248420531*p^113*q^1492+230046400*p^111*q^1494+19778750*p^109*q^1496+345934*p^ 107*q^1498+174*p^105*q^1500+32*p^122*q^1482+30520*p^120*q^1484+356790*p^118*q^ 1486+10203834*p^116*q^1488+117491126*p^114*q^1490+332106539*p^112*q^1492+ 100127222*p^110*q^1494+3934470*p^108*q^1496+31172*p^106*q^1498+24*p^104*q^1500+ 760*p^121*q^1482+87106*p^119*q^1484+2131850*p^117*q^1486+36986517*p^115*q^1488+ 242581792*p^113*q^1490+271878437*p^111*q^1492+28975378*p^109*q^1494+580718*p^ 107*q^1496+578*p^105*q^1498+21526*p^120*q^1482+290080*p^118*q^1484+8957998*p^ 116*q^1486+108433544*p^114*q^1488+343344934*p^112*q^1490+133550194*p^110*q^1492 +5985388*p^108*q^1494+72996*p^106*q^1496+12*p^104*q^1498+780*p^121*q^1480+97336 *p^119*q^1482+1705691*p^117*q^1484+31479986*p^115*q^1486+231310477*p^113*q^1488 +314241910*p^111*q^1490+41682323*p^109*q^1492+1106062*p^107*q^1494+3296*p^105*q ^1496+10*p^124*q^1476+8532*p^120*q^1480+261868*p^118*q^1482+7400374*p^116*q^ 1484+96795906*p^114*q^1486+356510886*p^112*q^1488+173532318*p^110*q^1490+ 9361154*p^108*q^1492+107798*p^106*q^1494+12*p^104*q^1496+80*p^121*q^1478+98256* p^119*q^1480+1288404*p^117*q^1482+27899427*p^115*q^1484+219880538*p^113*q^1486+ 358677679*p^111*q^1488+57789394*p^109*q^1490+1605165*p^107*q^1492+10570*p^105*q ^1494+8026*p^120*q^1478+252624*p^118*q^1480+6472018*p^116*q^1482+86532399*p^114 *q^1484+358630098*p^112*q^1486+216899375*p^110*q^1488+14202484*p^108*q^1490+ 251633*p^106*q^1492+210*p^104*q^1494+134*p^123*q^1474+72*p^121*q^1476+60436*p^ 119*q^1478+1115086*p^117*q^1480+23617538*p^115*q^1482+206795348*p^113*q^1484+ 392776780*p^111*q^1486+82218138*p^109*q^1488+2653666*p^107*q^1490+20224*p^105*q ^1492+2528*p^120*q^1476+289090*p^118*q^1478+5008467*p^116*q^1480+76376220*p^114 *q^1482+360246170*p^112*q^1484+269057502*p^110*q^1486+20706599*p^108*q^1488+ 391502*p^106*q^1490+750*p^104*q^1492+16*p^123*q^1472+28*p^121*q^1474+49148*p^ 119*q^1476+865962*p^117*q^1478+20934456*p^115*q^1480+193225478*p^113*q^1482+ 429442864*p^111*q^1484+109490034*p^109*q^1486+4028828*p^107*q^1488+40866*p^105* q^1490+720*p^122*q^1472+1270*p^120*q^1474+256168*p^118*q^1476+4408230*p^116*q^ 1478+67826380*p^114*q^1480+352793430*p^112*q^1482+321616930*p^110*q^1484+ 30317606*p^108*q^1486+706001*p^106*q^1488+3534*p^104*q^1490+28*p^121*q^1472+ 29240*p^119*q^1474+799576*p^117*q^1476+17240400*p^115*q^1478+177896098*p^113*q^ 1480+453908836*p^111*q^1482+147689315*p^109*q^1484+6434882*p^107*q^1486+79150*p ^105*q^1488+24*p^103*q^1490+408*p^122*q^1470+720*p^120*q^1472+213298*p^118*q^ 1474+3512916*p^116*q^1476+59786818*p^114*q^1478+346870390*p^112*q^1480+ 377320972*p^110*q^1482+43328273*p^108*q^1484+1032054*p^106*q^1486+5177*p^104*q^ 1488+1986*p^121*q^1470+13528*p^119*q^1472+779938*p^117*q^1474+14957280*p^115*q^ 1476+162463306*p^113*q^1478+477622987*p^111*q^1480+190478468*p^109*q^1482+ 9519462*p^107*q^1484+158380*p^105*q^1486+312*p^103*q^1488+34*p^122*q^1468+620*p ^120*q^1470+173640*p^118*q^1472+2877822*p^116*q^1474+52360276*p^114*q^1476+ 334404112*p^112*q^1478+432555990*p^110*q^1480+61222362*p^108*q^1482+1678374*p^ 106*q^1484+12558*p^104*q^1486+3112*p^121*q^1468+9280*p^119*q^1470+723434*p^117* q^1472+12704712*p^115*q^1474+148606572*p^113*q^1476+486572408*p^111*q^1478+ 243495337*p^109*q^1480+14240854*p^107*q^1482+275294*p^105*q^1484+892*p^103*q^ 1486+28*p^122*q^1466+3122*p^120*q^1468+101768*p^118*q^1470+2441882*p^116*q^1472 +44892938*p^114*q^1474+319167936*p^112*q^1476+486846228*p^110*q^1478+85504624*p ^108*q^1480+2715316*p^106*q^1482+23327*p^104*q^1484+846*p^121*q^1466+6242*p^119 *q^1468+656294*p^117*q^1470+10546398*p^115*q^1472+134594214*p^113*q^1474+ 502248288*p^111*q^1476+299587000*p^109*q^1478+20688249*p^107*q^1480+372348*p^ 105*q^1482+1306*p^103*q^1484+10916*p^120*q^1466+74474*p^118*q^1468+2234588*p^ 116*q^1470+40110766*p^114*q^1472+302377198*p^112*q^1474+531702188*p^110*q^1476+ 115589450*p^108*q^1478+4093377*p^106*q^1480+68784*p^104*q^1482+156*p^102*q^1484 +568*p^121*q^1464+5826*p^119*q^1466+508124*p^117*q^1468+8809240*p^115*q^1470+ 119106334*p^113*q^1472+497605842*p^111*q^1474+368441312*p^109*q^1476+30787022*p ^107*q^1478+702965*p^105*q^1480+1770*p^103*q^1482+7180*p^120*q^1464+46458*p^118 *q^1466+2020280*p^116*q^1468+33629430*p^114*q^1470+287268786*p^112*q^1472+ 576881678*p^110*q^1474+154865608*p^108*q^1476+6021396*p^106*q^1478+79298*p^104* q^1480+60*p^102*q^1482+68*p^121*q^1462+20722*p^119*q^1464+397820*p^117*q^1466+ 7418128*p^115*q^1468+108193934*p^113*q^1470+497421286*p^111*q^1472+432016450*p^ 109*q^1474+43214450*p^107*q^1476+1065296*p^105*q^1478+12256*p^103*q^1480+12*p^ 101*q^1482+5036*p^120*q^1462+35434*p^118*q^1464+1812300*p^116*q^1466+29411573*p ^114*q^1468+264035820*p^112*q^1470+614550345*p^110*q^1472+202187028*p^108*q^ 1474+9453308*p^106*q^1476+160438*p^104*q^1478+60*p^102*q^1480+36*p^121*q^1460+ 28234*p^119*q^1462+279778*p^117*q^1464+6440278*p^115*q^1466+95073347*p^113*q^ 1468+488611596*p^111*q^1470+503823607*p^109*q^1472+61553702*p^107*q^1474+ 1594278*p^105*q^1476+17418*p^103*q^1478+1946*p^120*q^1460+34574*p^118*q^1462+ 1529424*p^116*q^1464+24790768*p^114*q^1466+246265786*p^112*q^1468+639670664*p^ 110*q^1470+261189900*p^108*q^1472+13729790*p^106*q^1474+263140*p^104*q^1476+ 1094*p^102*q^1478+24*p^121*q^1458+25138*p^119*q^1460+213754*p^117*q^1462+ 5645516*p^115*q^1464+83853724*p^113*q^1466+478690510*p^111*q^1468+572256814*p^ 109*q^1470+84897046*p^107*q^1472+2480464*p^105*q^1474+28815*p^103*q^1476+540*p^ 120*q^1458+63314*p^118*q^1460+1255222*p^116*q^1462+21471826*p^114*q^1464+ 226470424*p^112*q^1466+663192192*p^110*q^1468+323439980*p^108*q^1470+20148056*p ^106*q^1472+394620*p^104*q^1474+3642*p^102*q^1476+18062*p^119*q^1458+152092*p^ 117*q^1460+4979476*p^115*q^1462+73631054*p^113*q^1464+456662420*p^111*q^1466+ 641003602*p^109*q^1468+117425796*p^107*q^1470+3956169*p^105*q^1472+65378*p^103* q^1474+24*p^101*q^1476+608*p^120*q^1456+75168*p^118*q^1458+986584*p^116*q^1460+ 18009748*p^114*q^1462+206313131*p^112*q^1464+679103560*p^110*q^1466+399752409*p ^108*q^1468+29002296*p^106*q^1470+578966*p^104*q^1472+3354*p^102*q^1474+6334*p^ 119*q^1456+136756*p^117*q^1458+4308736*p^115*q^1460+64670304*p^113*q^1462+ 442241121*p^111*q^1464+698238326*p^109*q^1466+156694919*p^107*q^1468+5745582*p^ 105*q^1470+88768*p^103*q^1472+528*p^101*q^1474+56*p^120*q^1454+83396*p^118*q^ 1456+801422*p^116*q^1458+15891016*p^114*q^1460+186256342*p^112*q^1462+687941628 *p^110*q^1464+476183096*p^108*q^1466+41697255*p^106*q^1468+996418*p^104*q^1470+ 13565*p^102*q^1472+8*p^123*q^1450+6428*p^119*q^1454+164220*p^117*q^1456+3680326 *p^115*q^1458+55974874*p^113*q^1460+416146494*p^111*q^1462+755761978*p^109*q^ 1464+207145012*p^107*q^1466+8716858*p^105*q^1468+143174*p^103*q^1470+210*p^101* q^1472+52*p^120*q^1452+46688*p^118*q^1454+563424*p^116*q^1456+13445070*p^114*q^ 1458+167968905*p^112*q^1460+685580520*p^110*q^1462+567456685*p^108*q^1464+ 58857162*p^106*q^1466+1494825*p^104*q^1468+19152*p^102*q^1470+36*p^100*q^1472+ 1916*p^119*q^1452+226132*p^117*q^1454+3140998*p^115*q^1456+49032908*p^113*q^ 1458+395844481*p^111*q^1460+805673352*p^109*q^1462+264266101*p^107*q^1464+ 12486716*p^105*q^1466+203696*p^103*q^1468+1736*p^101*q^1470+108*p^122*q^1448+20 *p^120*q^1450+39268*p^118*q^1452+469982*p^116*q^1454+11917534*p^114*q^1456+ 150207498*p^112*q^1458+680998944*p^110*q^1460+642500604*p^108*q^1462+83559387*p ^106*q^1464+2374054*p^104*q^1466+38010*p^102*q^1468+12*p^100*q^1470+868*p^119*q ^1450+199272*p^117*q^1452+2530310*p^115*q^1454+41872119*p^113*q^1456+365592302* p^111*q^1458+850659967*p^109*q^1460+338699694*p^107*q^1462+18396398*p^105*q^ 1464+348344*p^103*q^1466+3866*p^101*q^1468+12*p^122*q^1446+20*p^120*q^1448+ 23452*p^118*q^1450+495666*p^116*q^1452+10268924*p^114*q^1454+134797648*p^112*q^ 1456+670155784*p^110*q^1458+733899205*p^108*q^1460+112364840*p^106*q^1462+ 3435981*p^104*q^1464+41720*p^102*q^1466+84*p^100*q^1468+584*p^121*q^1446+468*p^ 119*q^1448+164084*p^117*q^1450+1977944*p^115*q^1452+36324024*p^113*q^1454+ 341347283*p^111*q^1456+878846660*p^109*q^1458+418509609*p^107*q^1460+26917396*p ^105*q^1462+575778*p^103*q^1464+8180*p^101*q^1466+9520*p^118*q^1448+568150*p^ 116*q^1450+8929960*p^114*q^1452+119542756*p^112*q^1454+654778028*p^110*q^1456+ 813661474*p^108*q^1458+151980545*p^106*q^1460+5102888*p^104*q^1462+63407*p^102* q^1464+594*p^100*q^1466+324*p^121*q^1444+480*p^119*q^1446+142284*p^117*q^1448+ 1561406*p^115*q^1450+31892392*p^113*q^1452+311164794*p^111*q^1454+907937204*p^ 109*q^1456+504267074*p^107*q^1458+39246773*p^105*q^1460+908232*p^103*q^1462+ 13161*p^101*q^1464+1620*p^120*q^1444+6334*p^118*q^1446+503170*p^116*q^1448+ 7538110*p^114*q^1450+104109597*p^112*q^1452+630379962*p^110*q^1454+899028934*p^ 108*q^1456+203204526*p^106*q^1458+7420977*p^104*q^1460+119172*p^102*q^1462+1040 *p^100*q^1464+24*p^121*q^1442+72*p^119*q^1444+75240*p^117*q^1446+1510760*p^115* q^1448+27408990*p^113*q^1450+290054588*p^111*q^1452+924459716*p^109*q^1454+ 601667195*p^107*q^1456+54031188*p^105*q^1458+1294714*p^103*q^1460+8038*p^101*q^ 1462+48*p^99*q^1464+2520*p^120*q^1442+4890*p^118*q^1444+521294*p^116*q^1446+ 6178854*p^114*q^1448+92883800*p^112*q^1450+603362414*p^110*q^1452+962699418*p^ 108*q^1454+263316736*p^106*q^1456+11393064*p^104*q^1458+222774*p^102*q^1460+ 4140*p^100*q^1462+20*p^121*q^1440+2480*p^119*q^1442+53968*p^117*q^1444+1386664* p^115*q^1446+24122718*p^113*q^1448+259311910*p^111*q^1450+935646337*p^109*q^ 1452+701853140*p^107*q^1454+77214720*p^105*q^1456+1968808*p^103*q^1458+19194*p^ 101*q^1460+48*p^99*q^1462+656*p^120*q^1440+2118*p^118*q^1442+383064*p^116*q^ 1444+5006170*p^114*q^1446+80352898*p^112*q^1448+573509096*p^110*q^1450+ 1040812890*p^108*q^1452+335262118*p^106*q^1454+16351883*p^104*q^1456+301068*p^ 102*q^1458+1573*p^100*q^1460+8916*p^119*q^1440+35228*p^117*q^1442+1408066*p^115 *q^1444+20997896*p^113*q^1446+238543401*p^111*q^1448+934270208*p^109*q^1450+ 804989675*p^107*q^1452+104692242*p^105*q^1454+2853254*p^103*q^1456+46184*p^101* q^1458+799*p^99*q^1460+432*p^120*q^1438+2686*p^118*q^1440+296798*p^116*q^1442+ 4378636*p^114*q^1444+70627678*p^112*q^1446+541627796*p^110*q^1448+1090189242*p^ 108*q^1450+419965822*p^106*q^1452+24333870*p^104*q^1454+505335*p^102*q^1456+ 2034*p^100*q^1458+5760*p^119*q^1438+23788*p^117*q^1440+1302354*p^115*q^1442+ 17598250*p^113*q^1444+211648904*p^111*q^1446+929601150*p^109*q^1448+907478944*p ^107*q^1450+144079427*p^105*q^1452+4269210*p^103*q^1454+67478*p^101*q^1456+728* p^99*q^1458+44*p^120*q^1436+16786*p^118*q^1438+207820*p^116*q^1440+3866320*p^ 114*q^1442+62087392*p^112*q^1444+507028712*p^110*q^1446+1150247688*p^108*q^1448 +513354460*p^106*q^1450+34266867*p^104*q^1452+717236*p^102*q^1454+6944*p^100*q^ 1456+66*p^98*q^1458+3976*p^119*q^1436+11226*p^117*q^1438+1114736*p^115*q^1440+ 14906474*p^113*q^1442+190473807*p^111*q^1444+910371776*p^109*q^1446+1016500602* p^107*q^1448+189930246*p^105*q^1450+6545672*p^103*q^1452+105820*p^101*q^1454+84 *p^99*q^1456+24*p^120*q^1434+22552*p^118*q^1436+155994*p^116*q^1438+3688472*p^ 114*q^1440+54703268*p^112*q^1442+475029327*p^110*q^1444+1186883686*p^108*q^1446 +615837397*p^106*q^1448+48945946*p^104*q^1450+1006454*p^102*q^1452+14564*p^100* q^1454+240*p^98*q^1456+1464*p^119*q^1434+22500*p^117*q^1436+928974*p^115*q^1438 +12564348*p^113*q^1440+168310426*p^111*q^1442+887206801*p^109*q^1444+1107785160 *p^107*q^1446+252578568*p^105*q^1448+9862102*p^103*q^1450+191058*p^101*q^1452+ 730*p^99*q^1454+16*p^120*q^1432+20610*p^118*q^1434+98194*p^116*q^1436+3267452*p ^114*q^1438+47289686*p^112*q^1440+435121002*p^110*q^1442+1230674215*p^108*q^ 1444+730991058*p^106*q^1446+68271920*p^104*q^1448+1485800*p^102*q^1450+17901*p^ 100*q^1452+352*p^119*q^1432+47360*p^117*q^1434+713938*p^115*q^1436+11026308*p^ 113*q^1438+150586606*p^111*q^1440+862521222*p^109*q^1442+1208602226*p^107*q^ 1444+318774862*p^105*q^1446+14075166*p^103*q^1448+244822*p^101*q^1450+2140*p^99 *q^1452+42*p^97*q^1454+14120*p^118*q^1432+66420*p^116*q^1434+3085728*p^114*q^ 1436+40677744*p^112*q^1438+404300768*p^110*q^1440+1238298236*p^108*q^1442+ 849819595*p^106*q^1444+95490888*p^104*q^1446+2478972*p^102*q^1448+42146*p^100*q ^1450+48*p^98*q^1452+436*p^119*q^1430+62121*p^117*q^1432+573128*p^115*q^1434+ 9631876*p^113*q^1436+133336424*p^111*q^1438+824298850*p^109*q^1440+1298951522*p ^107*q^1442+405998485*p^105*q^1444+20832142*p^103*q^1446+322468*p^101*q^1448+ 3662*p^99*q^1450+4516*p^118*q^1430+80072*p^116*q^1432+2528012*p^114*q^1434+ 34782773*p^112*q^1436+363546724*p^110*q^1438+1265576598*p^108*q^1440+967545166* p^106*q^1442+130130006*p^104*q^1444+3568992*p^102*q^1446+60280*p^100*q^1448+124 *p^98*q^1450+3*p^96*q^1452+32*p^119*q^1428+65812*p^117*q^1430+386588*p^115*q^ 1432+8820560*p^113*q^1434+118679616*p^111*q^1436+791023062*p^109*q^1438+ 1387000679*p^107*q^1440+499937090*p^105*q^1442+29184323*p^103*q^1444+512550*p^ 101*q^1446+6455*p^99*q^1448+4820*p^118*q^1428+123136*p^116*q^1430+2245088*p^114 *q^1432+30242408*p^112*q^1434+332676733*p^110*q^1436+1252040090*p^108*q^1438+ 1094665225*p^106*q^1440+173259342*p^104*q^1442+5660968*p^102*q^1444+84506*p^100 *q^1446+737*p^98*q^1448+32*p^119*q^1426+35950*p^117*q^1428+274598*p^115*q^1430+ 7752335*p^113*q^1432+102857294*p^111*q^1434+748029417*p^109*q^1436+1457774764*p ^107*q^1438+613418979*p^105*q^1440+42666976*p^103*q^1442+799036*p^101*q^1444+ 12142*p^99*q^1446+6*p^122*q^1422+1280*p^118*q^1426+175118*p^116*q^1428+1809322* p^114*q^1430+26217361*p^112*q^1432+300929014*p^110*q^1434+1253288646*p^108*q^ 1436+1219909882*p^106*q^1438+228659725*p^104*q^1440+7882158*p^102*q^1442+99390* p^100*q^1444+978*p^98*q^1446+12*p^119*q^1424+30024*p^117*q^1426+265795*p^115*q^ 1428+6838312*p^113*q^1430+90726110*p^111*q^1432+698970124*p^109*q^1434+ 1532797494*p^107*q^1436+724617134*p^105*q^1438+59694348*p^103*q^1440+1303720*p^ 101*q^1442+20650*p^99*q^1444+66*p^97*q^1446+536*p^118*q^1424+151584*p^116*q^ 1426+1349962*p^114*q^1428+23291110*p^112*q^1430+271802747*p^110*q^1432+ 1232941486*p^108*q^1434+1347418265*p^106*q^1436+296182354*p^104*q^1438+11773484 *p^102*q^1440+150906*p^100*q^1442+1712*p^98*q^1444+82*p^121*q^1420+12*p^119*q^ 1422+16926*p^117*q^1424+356248*p^115*q^1426+6193488*p^113*q^1428+78501486*p^111 *q^1430+655149876*p^109*q^1432+1573442784*p^107*q^1434+857836498*p^105*q^1436+ 82920360*p^103*q^1438+2017901*p^101*q^1440+28348*p^99*q^1442+240*p^97*q^1444+ 280*p^118*q^1422+128458*p^116*q^1424+996020*p^114*q^1426+19970214*p^112*q^1428+ 241707398*p^110*q^1430+1209338992*p^108*q^1432+1472360422*p^106*q^1434+ 379777724*p^104*q^1436+17179548*p^102*q^1438+242070*p^100*q^1440+2888*p^98*q^ 1442+8*p^121*q^1418+6320*p^117*q^1422+385524*p^115*q^1424+5234864*p^113*q^1426+ 69354925*p^111*q^1428+607866256*p^109*q^1430+1633306144*p^107*q^1432+987534750* p^105*q^1434+111798930*p^103*q^1436+2868746*p^101*q^1438+24856*p^99*q^1440+124* p^97*q^1442+448*p^120*q^1418+312*p^118*q^1420+106790*p^116*q^1422+960901*p^114* q^1424+18005466*p^112*q^1426+217115582*p^110*q^1428+1166858704*p^108*q^1430+ 1590694088*p^106*q^1432+469129510*p^104*q^1434+25193593*p^102*q^1436+454904*p^ 100*q^1438+9056*p^98*q^1440+42*p^96*q^1442+4350*p^117*q^1420+381692*p^115*q^ 1422+4134525*p^113*q^1424+60084272*p^111*q^1426+560417222*p^109*q^1428+ 1651535692*p^107*q^1430+1138706146*p^105*q^1432+154312896*p^103*q^1434+4412556* p^101*q^1436+36960*p^99*q^1438+136*p^97*q^1440+240*p^120*q^1416+48*p^118*q^1418 +53278*p^116*q^1420+898752*p^114*q^1422+16065206*p^112*q^1424+190596216*p^110*q ^1426+1130590505*p^108*q^1428+1707410060*p^106*q^1430+579739753*p^104*q^1432+ 34617488*p^102*q^1434+624952*p^100*q^1436+5874*p^98*q^1438+1254*p^119*q^1416+ 3136*p^117*q^1418+390414*p^115*q^1420+3449688*p^113*q^1422+52714415*p^111*q^ 1424+516116100*p^109*q^1426+1684237706*p^107*q^1428+1274543998*p^105*q^1430+ 202708542*p^103*q^1432+6519006*p^101*q^1434+79468*p^99*q^1436+1802*p^97*q^1438+ 3*p^95*q^1440+14*p^120*q^1414+16*p^118*q^1416+39668*p^116*q^1418+908708*p^114*q ^1420+14004268*p^112*q^1422+170721560*p^110*q^1424+1073472134*p^108*q^1426+ 1813213233*p^106*q^1428+697447970*p^104*q^1430+50060696*p^102*q^1432+1059626*p^ 100*q^1434+4594*p^98*q^1436+1928*p^119*q^1414+1432*p^117*q^1416+282794*p^115*q^ 1418+2922594*p^113*q^1420+46028456*p^111*q^1422+468977669*p^109*q^1424+ 1678845560*p^107*q^1426+1439637957*p^105*q^1428+264341486*p^103*q^1430+9538270* p^101*q^1432+118820*p^99*q^1434+2096*p^97*q^1436+12*p^120*q^1412+1928*p^118*q^ 1414+23296*p^116*q^1416+975646*p^114*q^1418+11799326*p^112*q^1420+149896230*p^ 110*q^1422+1028029683*p^108*q^1424+1909270250*p^106*q^1426+830815285*p^104*q^ 1428+69959188*p^102*q^1430+1505220*p^100*q^1432+10246*p^98*q^1434+148*p^96*q^ 1436+466*p^119*q^1412+408*p^117*q^1414+221243*p^115*q^1416+2524040*p^113*q^1418 +41131642*p^111*q^1420+424736308*p^109*q^1422+1681345505*p^107*q^1424+ 1584249940*p^105*q^1426+339460171*p^103*q^1428+13460702*p^101*q^1430+214260*p^ 99*q^1432+488*p^97*q^1434+6876*p^118*q^1412+16016*p^116*q^1414+922694*p^114*q^ 1416+10228274*p^112*q^1418+132716043*p^110*q^1420+965925272*p^108*q^1422+ 2004785981*p^106*q^1424+967074308*p^104*q^1426+96313603*p^102*q^1428+2363648*p^ 100*q^1430+19112*p^98*q^1432+584*p^96*q^1434+296*p^119*q^1410+1860*p^117*q^1412 +148640*p^115*q^1414+2395778*p^113*q^1416+35874118*p^111*q^1418+383950518*p^109 *q^1420+1648726136*p^107*q^1422+1745918235*p^105*q^1424+428589936*p^103*q^1426+ 20143606*p^101*q^1428+342684*p^99*q^1430+932*p^97*q^1432+4458*p^118*q^1410+6960 *p^116*q^1412+825144*p^114*q^1414+8493836*p^112*q^1416+115766822*p^110*q^1418+ 909234319*p^108*q^1420+2074026824*p^106*q^1422+1130666385*p^104*q^1424+ 129629192*p^102*q^1426+3291456*p^100*q^1428+30828*p^98*q^1430+56*p^96*q^1432+20 *p^119*q^1408+12652*p^117*q^1410+105410*p^115*q^1412+2265374*p^113*q^1414+ 31635213*p^111*q^1416+346928574*p^109*q^1418+1629048974*p^107*q^1420+1894429518 *p^105*q^1422+527600502*p^103*q^1424+28600548*p^101*q^1426+501176*p^99*q^1428+ 2496*p^97*q^1430+92*p^95*q^1432+2880*p^118*q^1408+4684*p^116*q^1410+681384*p^ 114*q^1412+7483500*p^112*q^1414+103380372*p^110*q^1416+840936878*p^108*q^1418+ 2141740116*p^106*q^1420+1279532896*p^104*q^1422+175006000*p^102*q^1424+4977616* p^100*q^1426+71598*p^98*q^1428+44*p^96*q^1430+12*p^119*q^1406+17976*p^117*q^ 1408+69032*p^115*q^1410+2244049*p^113*q^1412+27105098*p^111*q^1414+309923516*p^ 109*q^1416+1577167138*p^107*q^1418+2053420564*p^105*q^1420+646238804*p^103*q^ 1422+41130615*p^101*q^1424+791906*p^99*q^1426+3062*p^97*q^1428+4*p^95*q^1430+ 944*p^118*q^1406+13760*p^116*q^1408+503772*p^114*q^1410+6287450*p^112*q^1412+ 90170602*p^110*q^1414+782169357*p^108*q^1416+2180752816*p^106*q^1418+1464102454 *p^104*q^1420+227919404*p^102*q^1422+7136850*p^100*q^1424+92722*p^98*q^1426+224 *p^96*q^1428+6*p^94*q^1430+8*p^119*q^1404+15752*p^117*q^1406+38478*p^115*q^1408 +2137592*p^113*q^1410+24087922*p^111*q^1412+277047166*p^109*q^1414+1538870066*p ^107*q^1416+2192759070*p^105*q^1418+771467497*p^103*q^1420+56832056*p^101*q^ 1422+1108031*p^99*q^1424+10686*p^97*q^1426+188*p^118*q^1404+37246*p^116*q^1406+ 406180*p^114*q^1408+5841764*p^112*q^1410+79634272*p^110*q^1412+719277550*p^108* q^1414+2211574329*p^106*q^1416+1629752036*p^104*q^1418+296676809*p^102*q^1420+ 11107578*p^100*q^1422+174214*p^98*q^1424+316*p^96*q^1426+10184*p^117*q^1404+ 25552*p^115*q^1406+1806664*p^113*q^1408+20311400*p^111*q^1410+246808251*p^109*q ^1412+1460216246*p^107*q^1414+2349789598*p^105*q^1416+914238242*p^103*q^1418+ 79474196*p^101*q^1420+1599412*p^99*q^1422+16024*p^97*q^1424+8*p^95*q^1426+254*p ^118*q^1402+48476*p^116*q^1404+265536*p^114*q^1406+5454785*p^112*q^1408+ 70082950*p^110*q^1410+660959486*p^108*q^1412+2227477816*p^106*q^1414+1823678076 *p^104*q^1416+374238008*p^102*q^1418+15708802*p^100*q^1420+238744*p^98*q^1422+ 912*p^96*q^1424+2772*p^117*q^1402+53694*p^115*q^1404+1596750*p^113*q^1406+ 17616582*p^111*q^1408+218768446*p^109*q^1410+1403773466*p^107*q^1412+2459765902 *p^105*q^1414+1072729896*p^103*q^1416+107327256*p^101*q^1418+2471224*p^99*q^ 1420+30176*p^97*q^1422+48*p^95*q^1424+20*p^118*q^1400+50300*p^116*q^1402+166036 *p^114*q^1404+5025434*p^112*q^1406+62121618*p^110*q^1408+601935212*p^108*q^1410 +2230746063*p^106*q^1412+2004727644*p^104*q^1414+467153537*p^102*q^1416+ 22844144*p^100*q^1418+350578*p^98*q^1420+2272*p^96*q^1422+3054*p^117*q^1400+ 89656*p^115*q^1402+1277308*p^113*q^1404+15545658*p^111*q^1406+193955474*p^109*q ^1408+1319998970*p^107*q^1410+2586614565*p^105*q^1412+1236443826*p^103*q^1414+ 146616190*p^101*q^1416+3871274*p^99*q^1418+50846*p^97*q^1420+32*p^95*q^1422+12* p^118*q^1398+25376*p^116*q^1400+129886*p^114*q^1402+4701414*p^112*q^1404+ 53221508*p^110*q^1406+547038325*p^108*q^1408+2202122218*p^106*q^1410+2218618814 *p^104*q^1412+573480176*p^102*q^1414+32176564*p^100*q^1416+467486*p^98*q^1418+ 3846*p^96*q^1420+4*p^94*q^1422+812*p^117*q^1398+133010*p^115*q^1400+926960*p^ 113*q^1402+13502370*p^111*q^1404+172723872*p^109*q^1406+1254595107*p^107*q^1408 +2683722966*p^105*q^1410+1415383444*p^103*q^1412+190513906*p^101*q^1414+5583123 *p^99*q^1416+69706*p^97*q^1418+196*p^95*q^1420+4*p^118*q^1396+20200*p^116*q^ 1398+165658*p^114*q^1400+4306848*p^112*q^1402+47863048*p^110*q^1404+493423252*p ^108*q^1406+2172701622*p^106*q^1408+2389416772*p^104*q^1410+696611146*p^102*q^ 1412+45959870*p^100*q^1414+827598*p^98*q^1416+9514*p^96*q^1418+4*p^121*q^1392+ 244*p^117*q^1396+115140*p^115*q^1398+642338*p^113*q^1400+12339186*p^111*q^1402+ 151296963*p^109*q^1404+1161773076*p^107*q^1406+2781334775*p^105*q^1408+ 1609520416*p^103*q^1410+250877831*p^101*q^1412+8454752*p^99*q^1414+98373*p^97*q ^1416+362*p^95*q^1418+8*p^118*q^1394+11052*p^116*q^1396+222114*p^114*q^1398+ 3613004*p^112*q^1400+40499274*p^110*q^1402+446003003*p^108*q^1404+2121284532*p^ 106*q^1406+2604594925*p^104*q^1408+829105128*p^102*q^1410+63024344*p^100*q^1412 +1161466*p^98*q^1414+10900*p^96*q^1416+8*p^94*q^1418+96*p^117*q^1394+91924*p^ 115*q^1396+551370*p^113*q^1398+11608026*p^111*q^1400+135278246*p^109*q^1402+ 1091572215*p^107*q^1404+2833146808*p^105*q^1406+1817468364*p^103*q^1408+ 315683064*p^101*q^1410+12125056*p^99*q^1412+145050*p^97*q^1414+1304*p^95*q^1416 +56*p^120*q^1390+3874*p^116*q^1394+288942*p^114*q^1396+2866792*p^112*q^1398+ 35439072*p^110*q^1400+398105122*p^108*q^1402+2060655146*p^106*q^1404+2773936592 *p^104*q^1406+979538698*p^102*q^1408+88146510*p^100*q^1410+1959040*p^98*q^1412+ 23162*p^96*q^1414+16*p^94*q^1416+216*p^117*q^1392+73608*p^115*q^1394+479752*p^ 113*q^1396+10609824*p^111*q^1398+119562642*p^109*q^1400+1003417032*p^107*q^1402 +2896439555*p^105*q^1404+2029215244*p^103*q^1406+402570719*p^101*q^1408+ 17277654*p^99*q^1410+209424*p^97*q^1412+1420*p^95*q^1414+4*p^120*q^1388+2076*p^ 116*q^1392+277962*p^114*q^1394+2256044*p^112*q^1396+31178018*p^110*q^1398+ 356440499*p^108*q^1400+1979036374*p^106*q^1402+2974309670*p^104*q^1404+ 1141286290*p^102*q^1406+117700673*p^100*q^1408+2884360*p^98*q^1410+25364*p^96*q ^1412+128*p^94*q^1414+312*p^119*q^1388+24*p^117*q^1390+36376*p^115*q^1392+ 549660*p^113*q^1394+9434630*p^111*q^1396+104427132*p^109*q^1398+932077160*p^107 *q^1400+2915228520*p^105*q^1402+2263373040*p^103*q^1404+493435850*p^101*q^1406+ 24992328*p^99*q^1408+360972*p^97*q^1410+3656*p^95*q^1412+2012*p^116*q^1390+ 282960*p^114*q^1392+1833972*p^112*q^1394+28534986*p^110*q^1396+319167158*p^108* q^1398+1904045830*p^106*q^1400+3118904262*p^104*q^1402+1321853286*p^102*q^1404+ 155653672*p^100*q^1406+4199912*p^98*q^1408+33346*p^96*q^1410+158*p^94*q^1412+ 156*p^119*q^1386+8*p^117*q^1388+23802*p^115*q^1390+596214*p^113*q^1392+8013834* p^111*q^1394+90762151*p^109*q^1396+845260530*p^107*q^1398+2926299372*p^105*q^ 1400+2491785792*p^103*q^1402+607532522*p^101*q^1404+36520606*p^99*q^1406+637494 *p^97*q^1408+6568*p^95*q^1410+8*p^93*q^1412+880*p^118*q^1386+868*p^116*q^1388+ 201722*p^114*q^1390+1520606*p^112*q^1392+25644638*p^110*q^1394+285615584*p^108* q^1396+1805669812*p^106*q^1398+3308365406*p^104*q^1400+1516270290*p^102*q^1402+ 204427293*p^100*q^1404+5828690*p^98*q^1406+46944*p^96*q^1408+234*p^94*q^1410+4* p^119*q^1384+13488*p^115*q^1388+682646*p^113*q^1390+6752482*p^111*q^1392+ 80118006*p^109*q^1394+775510850*p^107*q^1396+2905592556*p^105*q^1398+2738430453 *p^103*q^1400+722053954*p^101*q^1402+49581881*p^99*q^1404+932964*p^97*q^1406+ 4776*p^95*q^1408+8*p^93*q^1410+1372*p^118*q^1384+186*p^116*q^1386+152430*p^114* q^1388+1417470*p^112*q^1390+23401212*p^110*q^1392+253395350*p^108*q^1394+ 1718796671*p^106*q^1396+3416060998*p^104*q^1398+1732005627*p^102*q^1400+ 263419606*p^100*q^1402+9342249*p^98*q^1404+119932*p^96*q^1406+1494*p^94*q^1408+ 4*p^119*q^1382+1324*p^117*q^1384+10364*p^115*q^1386+668636*p^113*q^1388+5535390 *p^111*q^1390+70896924*p^109*q^1392+699311434*p^107*q^1394+2872700162*p^105*q^ 1396+2972163898*p^103*q^1398+867311502*p^101*q^1400+68621340*p^99*q^1402+ 1284038*p^97*q^1404+4116*p^95*q^1406+240*p^118*q^1382+56*p^116*q^1384+89764*p^ 114*q^1386+1362382*p^112*q^1388+20464850*p^110*q^1390+223457106*p^108*q^1392+ 1606872974*p^106*q^1394+3569445851*p^104*q^1396+1961127388*p^102*q^1398+ 333532602*p^100*q^1400+13357822*p^98*q^1402+178232*p^96*q^1404+916*p^94*q^1406+ 5156*p^117*q^1382+3652*p^115*q^1384+599838*p^113*q^1386+4751952*p^111*q^1388+ 63295558*p^109*q^1390+641292923*p^107*q^1392+2819942578*p^105*q^1394+3227288098 *p^103*q^1396+1008969792*p^101*q^1398+92480957*p^99*q^1400+1908250*p^97*q^1402+ 16286*p^95*q^1404+172*p^93*q^1406+152*p^118*q^1380+1064*p^116*q^1382+68220*p^ 114*q^1384+1511604*p^112*q^1386+18010040*p^110*q^1388+198341448*p^108*q^1390+ 1505567620*p^106*q^1392+3631984544*p^104*q^1394+2208223164*p^102*q^1396+ 415100656*p^100*q^1398+19554115*p^98*q^1400+294100*p^96*q^1402+304*p^94*q^1404+ 2908*p^117*q^1380+1688*p^115*q^1382+461700*p^113*q^1384+3844692*p^111*q^1386+ 56475052*p^109*q^1388+571308670*p^107*q^1390+2757349092*p^105*q^1392+3458885464 *p^103*q^1394+1189842413*p^101*q^1396+124848892*p^99*q^1398+3034605*p^97*q^1400 +28072*p^95*q^1402+242*p^93*q^1404+8*p^118*q^1378+9760*p^116*q^1380+40864*p^114 *q^1382+1548752*p^112*q^1384+15628214*p^110*q^1386+175451086*p^108*q^1388+ 1396935798*p^106*q^1390+3736290558*p^104*q^1392+2461491470*p^102*q^1394+ 508774551*p^100*q^1396+26903798*p^98*q^1398+349238*p^96*q^1400+1230*p^94*q^1402 +6*p^92*q^1404+1648*p^117*q^1378+898*p^115*q^1380+330644*p^113*q^1382+3543426*p ^111*q^1384+50380824*p^109*q^1386+517260669*p^107*q^1388+2661389372*p^105*q^ 1390+3705978366*p^103*q^1392+1372117672*p^101*q^1394+163982684*p^99*q^1396+ 4707668*p^97*q^1398+55634*p^95*q^1400+16*p^93*q^1402+13340*p^116*q^1378+20576*p ^114*q^1380+1525932*p^112*q^1382+13250182*p^110*q^1384+155852208*p^108*q^1386+ 1300371270*p^106*q^1388+3760554042*p^104*q^1390+2746525340*p^102*q^1392+ 610661048*p^100*q^1394+38102459*p^98*q^1396+567928*p^96*q^1398+3788*p^94*q^1400 +42*p^92*q^1402+496*p^117*q^1376+11036*p^115*q^1378+258198*p^113*q^1380+3419606 *p^111*q^1382+45238984*p^109*q^1384+461003688*p^107*q^1386+2563383001*p^105*q^ 1388+3905442298*p^103*q^1390+1583814713*p^101*q^1392+213851706*p^99*q^1394+ 6956080*p^97*q^1396+77940*p^95*q^1398+36*p^93*q^1400+4*p^118*q^1374+9892*p^116* q^1376+8688*p^114*q^1378+1244202*p^112*q^1380+11002094*p^110*q^1382+136923272*p ^108*q^1384+1187900450*p^106*q^1386+3814173948*p^104*q^1388+3028107140*p^102*q^ 1390+740564896*p^100*q^1392+52278712*p^98*q^1394+903358*p^96*q^1396+6252*p^94*q ^1398+16*p^117*q^1374+28832*p^115*q^1376+157412*p^113*q^1378+3534242*p^111*q^ 1380+39898476*p^109*q^1382+417353330*p^107*q^1384+2452778924*p^105*q^1386+ 4136867953*p^103*q^1388+1802542908*p^101*q^1390+267430789*p^99*q^1392+9702424*p ^97*q^1394+90744*p^95*q^1396+376*p^93*q^1398+3*p^91*q^1400+6152*p^116*q^1374+ 15960*p^114*q^1376+1075640*p^112*q^1378+9702930*p^110*q^1380+123292684*p^108*q^ 1382+1093426632*p^106*q^1384+3782137948*p^104*q^1386+3324807534*p^102*q^1388+ 868752202*p^100*q^1390+73511733*p^98*q^1392+1591042*p^96*q^1394+18240*p^94*q^ 1396+148*p^117*q^1372+33944*p^115*q^1374+90514*p^113*q^1376+3413354*p^111*q^ 1378+34709484*p^109*q^1380+366771490*p^107*q^1382+2337499980*p^105*q^1384+ 4298468976*p^103*q^1386+2069518066*p^101*q^1388+338474550*p^99*q^1390+14206342* p^97*q^1392+136110*p^95*q^1394+262*p^93*q^1396+1024*p^116*q^1372+38540*p^114*q^ 1374+804400*p^112*q^1376+8464944*p^110*q^1378+108850918*p^108*q^1380+996061048* p^106*q^1382+3777526917*p^104*q^1384+3625763626*p^102*q^1386+1024536895*p^100*q ^1388+96573630*p^98*q^1390+2153240*p^96*q^1392+15530*p^94*q^1394+16*p^92*q^1396 +8*p^117*q^1370+33408*p^115*q^1372+63500*p^113*q^1374+3250544*p^111*q^1376+ 30286132*p^109*q^1378+331718273*p^107*q^1380+2200530812*p^105*q^1382+4499606517 *p^103*q^1384+2317578354*p^101*q^1386+415887729*p^99*q^1388+20302474*p^97*q^ 1390+282854*p^95*q^1392+2954*p^93*q^1394+1708*p^116*q^1370+63664*p^114*q^1372+ 570998*p^112*q^1374+8112912*p^110*q^1376+97532106*p^108*q^1378+908062771*p^106* q^1380+3705685458*p^104*q^1382+3930480322*p^102*q^1384+1196249628*p^100*q^1386+ 128961735*p^98*q^1388+3396698*p^96*q^1390+18972*p^94*q^1392+4*p^92*q^1394+14104 *p^115*q^1370+79392*p^113*q^1372+2831408*p^111*q^1374+25838388*p^109*q^1376+ 291731946*p^107*q^1378+2073957217*p^105*q^1380+4607861238*p^103*q^1382+ 2631576527*p^101*q^1384+504494888*p^99*q^1386+28926256*p^97*q^1388+440496*p^95* q^1390+3208*p^93*q^1392+444*p^116*q^1368+95976*p^114*q^1370+361504*p^112*q^1372 +7812508*p^110*q^1374+86787647*p^108*q^1376+821509958*p^106*q^1378+3652480751*p ^104*q^1380+4225882158*p^102*q^1382+1390992842*p^100*q^1384+166770396*p^98*q^ 1386+4824988*p^96*q^1388+33340*p^94*q^1390+220*p^92*q^1392+10924*p^115*q^1368+ 87552*p^113*q^1370+2366976*p^111*q^1372+22427492*p^109*q^1374+260841705*p^107*q ^1376+1930809056*p^105*q^1378+4749838600*p^103*q^1380+2924065688*p^101*q^1382+ 608121385*p^99*q^1384+39926938*p^97*q^1386+669480*p^95*q^1388+2888*p^93*q^1390+ 28*p^116*q^1366+76084*p^114*q^1368+324364*p^112*q^1370+7549334*p^110*q^1372+ 76454238*p^108*q^1374+748448136*p^106*q^1376+3541451318*p^104*q^1378+4534292498 *p^102*q^1380+1597177544*p^100*q^1382+213428956*p^98*q^1384+7210064*p^96*q^1386 +78428*p^94*q^1388+644*p^92*q^1390+4*p^117*q^1364+6628*p^115*q^1366+158566*p^ 113*q^1368+1753208*p^111*q^1370+20000234*p^109*q^1372+232716826*p^107*q^1374+ 1797209261*p^105*q^1376+4797255040*p^103*q^1378+3268084883*p^101*q^1380+ 725299404*p^99*q^1382+55783437*p^97*q^1384+1068196*p^95*q^1386+2992*p^93*q^1388 +2*p^120*q^1360+12*p^116*q^1364+52902*p^114*q^1366+245460*p^112*q^1368+6944792* p^110*q^1370+66769854*p^108*q^1372+664281004*p^106*q^1374+3445714535*p^104*q^ 1376+4814923868*p^102*q^1378+1847041810*p^100*q^1380+267149828*p^98*q^1382+ 10281121*p^96*q^1384+105038*p^94*q^1386+344*p^92*q^1388+1332*p^115*q^1364+ 205176*p^113*q^1366+1369370*p^111*q^1368+18367662*p^109*q^1370+208071628*p^107* q^1372+1670799726*p^105*q^1374+4888966415*p^103*q^1376+3587579370*p^101*q^1378+ 855759045*p^99*q^1380+73540360*p^97*q^1382+1534961*p^95*q^1384+9538*p^93*q^1386 +92*p^91*q^1388+132*p^116*q^1362+46204*p^114*q^1364+257562*p^112*q^1366+6151082 *p^110*q^1368+58680984*p^108*q^1370+603381040*p^106*q^1372+3280072628*p^104*q^ 1374+5093270314*p^102*q^1376+2101543524*p^100*q^1378+331651635*p^98*q^1380+ 15465568*p^96*q^1382+208837*p^94*q^1384+496*p^92*q^1386+30*p^119*q^1358+756*p^ 115*q^1362+180918*p^113*q^1364+1100068*p^111*q^1366+17297912*p^109*q^1368+ 184233846*p^107*q^1370+1535682592*p^105*q^1372+4888194654*p^103*q^1374+ 3973670174*p^101*q^1376+1004493306*p^99*q^1378+99930106*p^97*q^1380+2313558*p^ 95*q^1382+14736*p^93*q^1384+16*p^91*q^1386+8*p^116*q^1360+17764*p^114*q^1362+ 346392*p^112*q^1364+4940312*p^110*q^1366+50797942*p^108*q^1368+536937610*p^106* q^1370+3161205373*p^104*q^1372+5322861866*p^102*q^1374+2401073622*p^100*q^1376+ 404520712*p^98*q^1378+20952430*p^96*q^1380+280408*p^94*q^1382+624*p^92*q^1384+6 *p^90*q^1386+1200*p^115*q^1360+185500*p^113*q^1362+860126*p^111*q^1364+16322718 *p^109*q^1366+165288049*p^107*q^1368+1409936080*p^105*q^1370+4902687872*p^103*q ^1372+4318621882*p^101*q^1374+1173465258*p^99*q^1376+127353080*p^97*q^1378+ 3571144*p^95*q^1380+30024*p^93*q^1382+96*p^91*q^1384+182*p^118*q^1356+10916*p^ 114*q^1360+395534*p^112*q^1362+4254990*p^110*q^1364+45223718*p^108*q^1366+ 484578491*p^106*q^1368+2984563258*p^104*q^1370+5572579545*p^102*q^1372+ 2694325706*p^100*q^1374+491101394*p^98*q^1376+30381212*p^96*q^1378+474890*p^94* q^1380+1788*p^92*q^1382+420*p^115*q^1358+119456*p^113*q^1360+772340*p^111*q^ 1362+14463592*p^109*q^1364+144900134*p^107*q^1366+1287101410*p^105*q^1368+ 4830928540*p^103*q^1370+4716169313*p^101*q^1372+1371156410*p^99*q^1374+ 165238261*p^97*q^1376+5175376*p^95*q^1378+46332*p^93*q^1380+24*p^91*q^1382+56*p ^118*q^1354+7064*p^114*q^1358+473512*p^112*q^1360+3354188*p^110*q^1362+41430022 *p^108*q^1364+430403828*p^106*q^1366+2842546897*p^104*q^1368+5756254172*p^102*q ^1370+3052507901*p^100*q^1372+580845124*p^98*q^1374+41319291*p^96*q^1376+692448 *p^94*q^1378+2484*p^92*q^1380+8*p^90*q^1382+572*p^117*q^1354+28*p^115*q^1356+ 79380*p^113*q^1358+730600*p^111*q^1360+13045962*p^109*q^1362+127588084*p^107*q^ 1364+1172978384*p^105*q^1366+4781799485*p^103*q^1368+5064042230*p^101*q^1370+ 1583645487*p^99*q^1372+208123028*p^97*q^1374+7493269*p^95*q^1376+80684*p^93*q^ 1378+116*p^91*q^1380+5612*p^114*q^1356+443528*p^112*q^1358+2845552*p^110*q^1360 +37391266*p^108*q^1362+388711014*p^106*q^1364+2651996766*p^104*q^1366+ 5956637678*p^102*q^1368+3394157316*p^100*q^1370+694468301*p^98*q^1372+55647086* p^96*q^1374+1144582*p^94*q^1376+7176*p^92*q^1378+652*p^117*q^1352+16*p^115*q^ 1354+46720*p^113*q^1356+899732*p^111*q^1358+11196919*p^109*q^1360+113196802*p^ 107*q^1362+1064092920*p^105*q^1364+4656573860*p^103*q^1366+5453028450*p^101*q^ 1368+1824924326*p^99*q^1370+260103970*p^97*q^1372+11228756*p^95*q^1374+122892*p ^93*q^1376+80*p^91*q^1378+994*p^116*q^1352+1450*p^114*q^1354+351708*p^112*q^ 1356+2163002*p^110*q^1358+34164002*p^108*q^1360+343505870*p^106*q^1362+ 2491655649*p^104*q^1364+6063438024*p^102*q^1366+3812406169*p^100*q^1368+ 818385414*p^98*q^1370+74179092*p^96*q^1372+1598780*p^94*q^1374+9608*p^92*q^1376 +52*p^117*q^1350+8*p^115*q^1352+35644*p^113*q^1354+1005664*p^111*q^1356+9665480 *p^109*q^1358+100593412*p^107*q^1360+962262398*p^105*q^1362+4566744635*p^103*q^ 1364+5798144914*p^101*q^1366+2091371199*p^99*q^1368+313729882*p^97*q^1370+ 15514256*p^95*q^1372+201862*p^93*q^1374+776*p^91*q^1376+2952*p^116*q^1350+656*p ^114*q^1352+266324*p^112*q^1354+2065460*p^110*q^1356+31146184*p^108*q^1358+ 308829274*p^106*q^1360+2313613602*p^104*q^1362+6173369280*p^102*q^1364+ 4181156254*p^100*q^1366+964010404*p^98*q^1368+98054928*p^96*q^1370+2578173*p^94 *q^1372+21470*p^92*q^1374+52*p^117*q^1348+1048*p^115*q^1350+20544*p^113*q^1352+ 1003654*p^111*q^1354+7908812*p^109*q^1356+88990404*p^107*q^1358+869171414*p^105 *q^1360+4368852058*p^103*q^1362+6188834266*p^101*q^1364+2392190854*p^99*q^1366+ 385546187*p^97*q^1368+22100340*p^95*q^1370+332268*p^93*q^1372+964*p^91*q^1374+ 1056*p^116*q^1348+250*p^114*q^1350+170068*p^112*q^1352+2009272*p^110*q^1354+ 27804834*p^108*q^1356+272824248*p^106*q^1358+2150098788*p^104*q^1360+6236727520 *p^102*q^1362+4634748321*p^100*q^1364+1124069802*p^98*q^1366+124953016*p^96*q^ 1368+3540900*p^94*q^1370+23854*p^92*q^1372+36*p^90*q^1374+6608*p^115*q^1348+ 9372*p^113*q^1350+967176*p^111*q^1352+6646632*p^109*q^1354+81146429*p^107*q^ 1356+782806950*p^105*q^1358+4243414975*p^103*q^1360+6466423558*p^101*q^1362+ 2719036619*p^99*q^1364+456345122*p^97*q^1366+30433367*p^95*q^1368+518606*p^93*q ^1370+2714*p^91*q^1372+680*p^116*q^1346+1564*p^114*q^1348+137354*p^112*q^1350+ 2071006*p^110*q^1352+24577122*p^108*q^1354+243187532*p^106*q^1356+1972944376*p^ 104*q^1358+6260982640*p^102*q^1360+5051193460*p^100*q^1362+1316359675*p^98*q^ 1364+159159382*p^96*q^1366+5566394*p^94*q^1368+62390*p^92*q^1370+116*p^90*q^ 1372+6468*p^115*q^1346+4580*p^113*q^1348+706424*p^111*q^1350+5798444*p^109*q^ 1352+72520956*p^107*q^1354+705210470*p^105*q^1356+4023351002*p^103*q^1358+ 6828288604*p^101*q^1360+3068345132*p^99*q^1362+547329723*p^97*q^1364+41451892*p ^95*q^1366+709502*p^93*q^1368+2346*p^91*q^1370+122*p^116*q^1344+8102*p^114*q^ 1346+80012*p^112*q^1348+2312766*p^110*q^1350+20928540*p^108*q^1352+215117806*p^ 106*q^1354+1818925310*p^104*q^1356+6225889870*p^102*q^1358+5531488333*p^100*q^ 1360+1521993382*p^98*q^1362+198229142*p^96*q^1364+7909318*p^94*q^1366+95911*p^ 92*q^1368+146*p^90*q^1370+4356*p^115*q^1344+6080*p^113*q^1346+580856*p^111*q^ 1348+4894262*p^109*q^1350+66553965*p^107*q^1352+632577110*p^105*q^1354+ 3851339624*p^103*q^1356+7070861314*p^101*q^1358+3465024677*p^99*q^1360+ 645645654*p^97*q^1362+54861184*p^95*q^1364+1109402*p^93*q^1366+7732*p^91*q^1368 +8*p^89*q^1370+17560*p^114*q^1344+46418*p^112*q^1346+2157758*p^110*q^1348+ 18613332*p^108*q^1350+192432717*p^106*q^1352+1659480716*p^104*q^1354+6191098502 *p^102*q^1356+5948985746*p^100*q^1358+1762331333*p^98*q^1360+240670896*p^96*q^ 1362+11513743*p^94*q^1364+146664*p^92*q^1366+312*p^90*q^1368+2242*p^115*q^1342+ 10223*p^113*q^1344+442786*p^111*q^1346+4864058*p^109*q^1348+58251018*p^107*q^ 1350+567302652*p^105*q^1352+3613011754*p^103*q^1354+7345498067*p^101*q^1356+ 3869683152*p^99*q^1358+769271835*p^97*q^1360+73795260*p^95*q^1362+1782082*p^93* q^1364+15946*p^91*q^1366+48*p^116*q^1340+16904*p^114*q^1342+31466*p^112*q^1344+ 1858366*p^110*q^1346+15466816*p^108*q^1348+172430338*p^106*q^1350+1517285960*p^ 104*q^1352+6075146688*p^102*q^1354+6457167323*p^100*q^1356+2029349996*p^98*q^ 1358+292326863*p^96*q^1360+15645756*p^94*q^1362+172006*p^92*q^1364+426*p^90*q^ 1366+180*p^115*q^1340+24790*p^113*q^1342+292864*p^111*q^1344+4941452*p^109*q^ 1346+52717456*p^107*q^1348+504722900*p^105*q^1350+3428156917*p^103*q^1352+ 7524631948*p^101*q^1354+4322712628*p^99*q^1356+892987388*p^97*q^1358+93774184*p ^95*q^1360+2631362*p^93*q^1362+28216*p^91*q^1364+24*p^89*q^1366+14968*p^114*q^ 1340+39230*p^112*q^1342+1628876*p^110*q^1344+13451646*p^108*q^1346+155280140*p^ 106*q^1348+1380118698*p^104*q^1350+5964689597*p^102*q^1352+6862995762*p^100*q^ 1354+2326908773*p^98*q^1356+352358060*p^96*q^1358+22445408*p^94*q^1360+340192*p ^92*q^1362+2062*p^90*q^1364+728*p^115*q^1338+37998*p^113*q^1340+189806*p^111*q^ 1342+4755772*p^109*q^1344+46194830*p^107*q^1346+452271782*p^105*q^1348+ 3173723606*p^103*q^1350+7723536175*p^101*q^1352+4782310026*p^99*q^1354+ 1059021227*p^97*q^1356+118980112*p^95*q^1358+3950014*p^93*q^1360+32852*p^91*q^ 1362+6*p^89*q^1364+4248*p^114*q^1338+32972*p^112*q^1340+1280576*p^110*q^1342+ 11889680*p^108*q^1344+137682128*p^106*q^1346+1250205412*p^104*q^1348+5787919542 *p^102*q^1350+7371116925*p^100*q^1352+2651208590*p^98*q^1354+420125502*p^96*q^ 1356+30168168*p^94*q^1358+478985*p^92*q^1360+3464*p^90*q^1362+88*p^115*q^1336+ 50742*p^113*q^1338+178243*p^111*q^1340+4455436*p^109*q^1342+40935020*p^107*q^ 1344+406230844*p^105*q^1346+2988917732*p^103*q^1348+7807743786*p^101*q^1350+ 5288845697*p^99*q^1352+1225335662*p^97*q^1354+146804057*p^95*q^1356+5604896*p^ 93*q^1358+50349*p^91*q^1360+142*p^89*q^1362+4960*p^114*q^1336+54852*p^112*q^ 1338+944844*p^110*q^1340+11299500*p^108*q^1342+124506764*p^106*q^1344+ 1126265088*p^104*q^1346+5608982150*p^102*q^1348+7735663220*p^100*q^1350+ 3022749793*p^98*q^1352+498595598*p^96*q^1354+41557929*p^94*q^1356+855190*p^92*q ^1358+9176*p^90*q^1360+30822*p^113*q^1336+131848*p^111*q^1338+3974470*p^109*q^ 1340+34838538*p^107*q^1342+361992801*p^105*q^1344+2750247812*p^103*q^1346+ 7919603874*p^101*q^1348+5798869730*p^99*q^1350+1436805107*p^97*q^1352+181237546 *p^95*q^1354+8021522*p^93*q^1356+72574*p^91*q^1358+156*p^89*q^1360+2080*p^114*q ^1334+95042*p^112*q^1336+740568*p^110*q^1338+10706982*p^108*q^1340+111066348*p^ 106*q^1342+1022577140*p^104*q^1344+5372499844*p^102*q^1346+8208757123*p^100*q^ 1348+3401957416*p^98*q^1350+591023043*p^96*q^1352+53306496*p^94*q^1354+1247288* p^92*q^1356+7048*p^90*q^1358+23340*p^113*q^1334+110488*p^111*q^1336+3418846*p^ 109*q^1338+30723852*p^107*q^1340+323003830*p^105*q^1342+2551735532*p^103*q^1344 +7913984206*p^101*q^1346+6353043331*p^99*q^1348+1655763728*p^97*q^1350+ 220069156*p^95*q^1352+11529440*p^93*q^1354+132254*p^91*q^1356+1790*p^89*q^1358+ 296*p^114*q^1332+104374*p^112*q^1334+629001*p^110*q^1336+9948654*p^108*q^1338+ 99760406*p^106*q^1340+919452380*p^104*q^1342+5172334382*p^102*q^1344+8527955830 *p^100*q^1346+3845815400*p^98*q^1348+695960840*p^96*q^1350+68598208*p^94*q^1352 +1836638*p^92*q^1354+9576*p^90*q^1356+44*p^115*q^1330+18476*p^113*q^1332+133684 *p^111*q^1334+2739229*p^109*q^1336+27624804*p^107*q^1338+290023796*p^105*q^1340 +2328947830*p^103*q^1342+7903503289*p^101*q^1344+6877779202*p^99*q^1346+ 1922473088*p^97*q^1348+264465378*p^95*q^1350+16714577*p^93*q^1352+253314*p^91*q ^1354+1964*p^89*q^1356+216*p^114*q^1330+84096*p^112*q^1332+457996*p^110*q^1334+ 9253228*p^108*q^1336+86691294*p^106*q^1338+825670054*p^104*q^1340+4893700804*p^ 102*q^1342+8948150748*p^100*q^1344+4306337346*p^98*q^1346+822609189*p^96*q^1348 +87311452*p^94*q^1350+2541502*p^92*q^1352+12486*p^90*q^1354+148*p^88*q^1356+ 5052*p^113*q^1330+195492*p^111*q^1332+2362798*p^109*q^1334+24890228*p^107*q^ 1336+260719544*p^105*q^1338+2156735192*p^103*q^1340+7810364466*p^101*q^1342+ 7465554830*p^99*q^1344+2192729308*p^97*q^1346+314287532*p^95*q^1348+21617328*p^ 93*q^1350+373094*p^91*q^1352+894*p^89*q^1354+536*p^114*q^1328+86552*p^112*q^ 1330+379380*p^110*q^1332+8293672*p^108*q^1334+78032032*p^106*q^1336+742394266*p ^104*q^1338+4641687080*p^102*q^1340+9179867072*p^100*q^1342+4817251353*p^98*q^ 1344+961622476*p^96*q^1346+109435156*p^94*q^1348+4285732*p^92*q^1350+39520*p^90 *q^1352+562*p^88*q^1354+3676*p^113*q^1328+207596*p^111*q^1330+1885690*p^109*q^ 1332+22748296*p^107*q^1334+231842604*p^105*q^1336+1951004750*p^103*q^1338+ 7727995942*p^101*q^1340+7995412976*p^99*q^1342+2531247763*p^97*q^1344+376783488 *p^95*q^1346+29669462*p^93*q^1348+506558*p^91*q^1350+660*p^89*q^1352+80*p^114*q ^1326+42158*p^112*q^1328+334100*p^110*q^1330+7229540*p^108*q^1332+67647548*p^ 106*q^1334+668331037*p^104*q^1336+4353583116*p^102*q^1338+9500811057*p^100*q^ 1340+5346680112*p^98*q^1342+1129335997*p^96*q^1344+132314154*p^94*q^1346+ 5792332*p^92*q^1348+63198*p^90*q^1350+39*p^88*q^1352+3038*p^113*q^1326+249577*p ^111*q^1328+1577632*p^109*q^1330+21212955*p^107*q^1332+209249128*p^105*q^1334+ 1791008647*p^103*q^1336+7540277552*p^101*q^1338+8596636998*p^99*q^1340+ 2863221390*p^97*q^1342+443648970*p^95*q^1344+38683238*p^93*q^1346+840253*p^91*q ^1348+3670*p^89*q^1350+90*p^87*q^1352+29604*p^112*q^1326+393966*p^110*q^1328+ 6291886*p^108*q^1330+60684824*p^106*q^1332+595450288*p^104*q^1334+4100577547*p^ 102*q^1336+9630209446*p^100*q^1338+5926158663*p^98*q^1340+1312124146*p^96*q^ 1342+163255520*p^94*q^1344+8360864*p^92*q^1346+103666*p^90*q^1348+20*p^88*q^ 1350+1960*p^113*q^1324+194540*p^111*q^1326+1153556*p^109*q^1328+19157470*p^107* q^1330+185794838*p^105*q^1332+1618978762*p^103*q^1334+7357768289*p^101*q^1336+ 9112388078*p^99*q^1338+3282410905*p^97*q^1340+527214768*p^95*q^1342+49972066*p^ 93*q^1344+1314238*p^91*q^1346+7790*p^89*q^1348+4*p^114*q^1322+16566*p^112*q^ 1324+484076*p^110*q^1326+5447518*p^108*q^1328+53907552*p^106*q^1330+537135352*p ^104*q^1332+3796820464*p^102*q^1334+9867275786*p^100*q^1336+6499351254*p^98*q^ 1338+1525158707*p^96*q^1340+193926382*p^94*q^1342+11578684*p^92*q^1344+136498*p ^90*q^1346+124*p^88*q^1348+6*p^86*q^1350+336*p^113*q^1322+143496*p^111*q^1324+ 992074*p^109*q^1326+17346413*p^107*q^1328+165046266*p^105*q^1330+1474766707*p^ 103*q^1332+7105312392*p^101*q^1334+9680266504*p^99*q^1336+3697255780*p^97*q^ 1338+622919194*p^95*q^1340+63177610*p^93*q^1342+1934258*p^91*q^1344+17562*p^89* q^1346+15012*p^112*q^1322+533758*p^110*q^1324+4518094*p^108*q^1326+49530036*p^ 106*q^1328+481617062*p^104*q^1330+3546811243*p^102*q^1332+9885780976*p^100*q^ 1334+7156402501*p^98*q^1336+1754571904*p^96*q^1338+231787019*p^94*q^1340+ 15696944*p^92*q^1342+242382*p^90*q^1344+644*p^88*q^1346+272*p^113*q^1320+98064* p^111*q^1322+959147*p^109*q^1324+15576320*p^107*q^1326+145791056*p^105*q^1328+ 1324840188*p^103*q^1330+6854030246*p^101*q^1332+10130200834*p^99*q^1334+ 4191530913*p^97*q^1336+735597618*p^95*q^1338+79957315*p^93*q^1340+3006632*p^91* q^1342+25224*p^89*q^1344+40*p^114*q^1318+6612*p^112*q^1320+468900*p^110*q^1322+ 3556838*p^108*q^1324+44116320*p^106*q^1326+432617022*p^104*q^1328+3264031580*p^ 102*q^1330+9984200082*p^100*q^1332+7794050802*p^98*q^1334+2036587692*p^96*q^ 1336+275157432*p^94*q^1338+20824066*p^92*q^1340+346096*p^90*q^1342+1688*p^88*q^ 1344+8*p^113*q^1318+68660*p^111*q^1320+1042754*p^109*q^1322+13987824*p^107*q^ 1324+130496866*p^105*q^1326+1204116867*p^103*q^1328+6541478186*p^101*q^1330+ 10663597807*p^99*q^1332+4669864686*p^97*q^1334+859690936*p^95*q^1336+96106388*p ^93*q^1338+4095491*p^91*q^1340+37732*p^89*q^1342+30*p^87*q^1344+3956*p^112*q^ 1318+413988*p^110*q^1320+3083546*p^108*q^1322+40223248*p^106*q^1324+386475006*p ^104*q^1326+3025799917*p^102*q^1328+9896643570*p^100*q^1330+8470363034*p^98*q^ 1332+2333035096*p^96*q^1334+329109639*p^94*q^1336+28050672*p^92*q^1338+661924*p ^90*q^1340+4790*p^88*q^1342+492*p^113*q^1316+53504*p^111*q^1318+1096022*p^109*q ^1320+11782746*p^107*q^1322+117011381*p^105*q^1324+1077602910*p^103*q^1326+ 6239299524*p^101*q^1328+11028741246*p^99*q^1330+5267030706*p^97*q^1332+ 1006795074*p^95*q^1334+117750702*p^93*q^1336+5852288*p^91*q^1338+46194*p^89*q^ 1340+48*p^87*q^1342+1068*p^112*q^1316+268352*p^110*q^1318+2483727*p^108*q^1320+ 36622948*p^106*q^1322+343244965*p^104*q^1324+2761297934*p^102*q^1326+9892057882 *p^100*q^1328+9134189916*p^98*q^1330+2680514093*p^96*q^1332+388687258*p^94*q^ 1334+35837936*p^92*q^1336+898528*p^90*q^1338+5976*p^88*q^1340+80*p^113*q^1314+ 32296*p^111*q^1316+1160404*p^109*q^1318+10440101*p^107*q^1320+103977458*p^105*q ^1322+981670695*p^103*q^1324+5898744420*p^101*q^1326+11465068990*p^99*q^1328+ 5828049476*p^97*q^1330+1172655230*p^95*q^1332+139278568*p^93*q^1334+8032518*p^ 91*q^1336+107934*p^89*q^1338+592*p^87*q^1340+2692*p^112*q^1314+246008*p^110*q^ 1316+2398410*p^108*q^1318+32946326*p^106*q^1320+309135342*p^104*q^1322+ 2537405784*p^102*q^1324+9666735272*p^100*q^1326+9853418942*p^98*q^1328+ 3043774704*p^96*q^1330+462595681*p^94*q^1332+45946588*p^92*q^1334+1446370*p^90* q^1336+5540*p^88*q^1338+16840*p^111*q^1314+907268*p^109*q^1316+8493010*p^107*q^ 1318+93702386*p^105*q^1320+872179044*p^103*q^1322+5574755503*p^101*q^1324+ 11735045016*p^99*q^1326+6509887716*p^97*q^1328+1366413208*p^95*q^1330+167849680 *p^93*q^1332+11070604*p^91*q^1334+172878*p^89*q^1336+1020*p^87*q^1338+1860*p^ 112*q^1312+181122*p^110*q^1314+2534080*p^108*q^1316+29438310*p^106*q^1318+ 275561642*p^104*q^1320+2309251198*p^102*q^1322+9543158048*p^100*q^1324+ 10489964050*p^98*q^1326+3477703695*p^96*q^1328+542584398*p^94*q^1330+56425930*p ^92*q^1332+1976670*p^90*q^1334+10204*p^88*q^1336+32*p^86*q^1338+11612*p^111*q^ 1312+795480*p^109*q^1314+6993658*p^107*q^1316+84408328*p^105*q^1318+790744418*p ^103*q^1320+5210781520*p^101*q^1322+12061406040*p^99*q^1324+7150256326*p^97*q^ 1326+1585954987*p^95*q^1328+198417226*p^93*q^1330+15118219*p^91*q^1332+282402*p ^89*q^1334+752*p^87*q^1336+188*p^112*q^1310+122788*p^110*q^1312+2432884*p^108*q ^1314+26511566*p^106*q^1316+245877252*p^104*q^1318+2111908141*p^102*q^1320+ 9243601516*p^100*q^1322+11204916088*p^98*q^1324+3920203654*p^96*q^1326+ 640135263*p^94*q^1328+68960666*p^92*q^1330+2805085*p^90*q^1332+29000*p^88*q^ 1334+128*p^86*q^1336+15718*p^111*q^1310+701090*p^109*q^1312+6257922*p^107*q^ 1314+76097050*p^105*q^1316+705147702*p^103*q^1318+4884792009*p^101*q^1320+ 12180237716*p^99*q^1322+7909214670*p^97*q^1324+1829736112*p^95*q^1326+238425237 *p^93*q^1328+19998050*p^91*q^1330+463998*p^89*q^1332+364*p^87*q^1334+144*p^112* q^1308+67424*p^110*q^1310+2123748*p^108*q^1312+22386760*p^106*q^1314+219250128* p^104*q^1316+1904237598*p^102*q^1318+9001581967*p^100*q^1320+11824042024*p^98*q ^1322+4456818554*p^96*q^1324+752042194*p^94*q^1326+82976116*p^92*q^1328+4006952 *p^90*q^1330+37974*p^88*q^1332+104*p^86*q^1334+4288*p^111*q^1308+559304*p^109*q ^1310+5929922*p^107*q^1312+69220056*p^105*q^1314+637950664*p^103*q^1316+ 4535191292*p^101*q^1318+12398159267*p^99*q^1320+8612337410*p^97*q^1322+ 2104147115*p^95*q^1324+279108568*p^93*q^1326+25354620*p^91*q^1328+592166*p^89*q ^1330+3202*p^87*q^1332+8*p^85*q^1334+78884*p^110*q^1308+2014844*p^108*q^1310+ 19267547*p^106*q^1312+197172628*p^104*q^1314+1736667618*p^102*q^1316+8621982814 *p^100*q^1318+12465568488*p^98*q^1320+4982449266*p^96*q^1322+885082081*p^94*q^ 1324+99673374*p^92*q^1326+5950922*p^90*q^1328+97716*p^88*q^1330+40*p^113*q^1304 +2886*p^111*q^1306+381474*p^109*q^1308+5363440*p^107*q^1310+62359780*p^105*q^ 1312+565811642*p^103*q^1314+4204045672*p^101*q^1316+12365075662*p^99*q^1318+ 9456377994*p^97*q^1320+2421923466*p^95*q^1322+333868561*p^93*q^1324+32505020*p^ 91*q^1326+898534*p^89*q^1328+4254*p^87*q^1330+8*p^85*q^1332+42636*p^110*q^1306+ 1780352*p^108*q^1308+16379428*p^106*q^1310+175996674*p^104*q^1312+1562939334*p^ 102*q^1314+8323134295*p^100*q^1316+13023007420*p^98*q^1318+5616226543*p^96*q^ 1320+1025290412*p^94*q^1322+118320387*p^92*q^1324+7686640*p^90*q^1326+107259*p^ 88*q^1328+124*p^86*q^1330+536*p^111*q^1304+322424*p^109*q^1306+5065672*p^107*q^ 1308+55986136*p^105*q^1310+512323507*p^103*q^1312+3876488818*p^101*q^1314+ 12419507096*p^99*q^1316+10192456270*p^97*q^1318+2771943770*p^95*q^1320+ 393572402*p^93*q^1322+39610385*p^91*q^1324+1432962*p^89*q^1326+14088*p^87*q^ 1328+542*p^112*q^1302+27104*p^110*q^1304+1523674*p^108*q^1306+14677230*p^106*q^ 1308+158264154*p^104*q^1310+1417543011*p^102*q^1312+7877513978*p^100*q^1314+ 13601605673*p^98*q^1316+6242369170*p^96*q^1318+1200712802*p^94*q^1320+140878272 *p^92*q^1322+10783878*p^90*q^1324+181866*p^88*q^1326+560*p^86*q^1328+300*p^111* q^1302+250972*p^109*q^1304+4569538*p^107*q^1306+48327855*p^105*q^1308+455858980 *p^103*q^1310+3574858003*p^101*q^1312+12258889076*p^99*q^1314+11077749014*p^97* q^1316+3162243438*p^95*q^1318+467851495*p^93*q^1320+48289482*p^91*q^1322+ 2009276*p^89*q^1324+18728*p^87*q^1326+80*p^112*q^1300+12220*p^110*q^1302+ 1196034*p^108*q^1304+13122402*p^106*q^1306+144355482*p^104*q^1308+1270338502*p^ 102*q^1310+7518952307*p^100*q^1312+14021315520*p^98*q^1314+6986435354*p^96*q^ 1316+1385899790*p^94*q^1318+166876624*p^92*q^1320+13962454*p^90*q^1322+274152*p ^88*q^1324+1004*p^86*q^1326+3092*p^111*q^1300+163604*p^109*q^1302+4339168*p^107 *q^1304+42200902*p^105*q^1306+408468246*p^103*q^1308+3266330180*p^101*q^1310+ 12188322121*p^99*q^1312+11837507408*p^97*q^1314+3603680611*p^95*q^1316+ 548220014*p^93*q^1318+58093264*p^91*q^1320+2799848*p^89*q^1322+29663*p^87*q^ 1324+44*p^85*q^1326+14*p^112*q^1298+4900*p^110*q^1300+1052938*p^108*q^1302+ 11803758*p^106*q^1304+130231444*p^104*q^1306+1155209077*p^102*q^1308+7068405276 *p^100*q^1310+14478422876*p^98*q^1312+7700468346*p^96*q^1314+1608832173*p^94*q^ 1316+198130048*p^92*q^1318+17906619*p^90*q^1320+460978*p^88*q^1322+3184*p^86*q^ 1324+1748*p^111*q^1298+114324*p^109*q^1300+3750302*p^107*q^1302+37091353*p^105* q^1304+364131242*p^103*q^1306+2990139748*p^101*q^1308+11855910906*p^99*q^1310+ 12749961334*p^97*q^1312+4079088892*p^95*q^1314+649151584*p^93*q^1316+69842624*p ^91*q^1318+4152662*p^89*q^1320+46396*p^87*q^1322+12*p^85*q^1324+20*p^112*q^1296 +11938*p^110*q^1298+749200*p^108*q^1300+10717960*p^106*q^1302+115458286*p^104*q ^1304+1031049990*p^102*q^1306+6671861073*p^100*q^1308+14792826610*p^98*q^1310+ 8548014621*p^96*q^1312+1853999320*p^94*q^1314+235596531*p^92*q^1316+22092596*p^ 90*q^1318+620962*p^88*q^1320+3012*p^86*q^1322+340*p^111*q^1296+49436*p^109*q^ 1298+3405836*p^107*q^1300+32587762*p^105*q^1302+330999814*p^103*q^1304+ 2723864762*p^101*q^1306+11662201197*p^99*q^1308+13469207670*p^97*q^1310+ 4629254157*p^95*q^1312+750650972*p^93*q^1314+81618710*p^91*q^1316+5492680*p^89* q^1318+80062*p^87*q^1320+386*p^85*q^1322+4*p^112*q^1294+13312*p^110*q^1296+ 629208*p^108*q^1298+9951190*p^106*q^1300+103260836*p^104*q^1302+933444894*p^102 *q^1304+6212367704*p^100*q^1306+15082477069*p^98*q^1308+9354571684*p^96*q^1310+ 2137230139*p^94*q^1312+281719294*p^92*q^1314+27995436*p^90*q^1316+996160*p^88*q ^1318+7688*p^86*q^1320+428*p^111*q^1294+54548*p^109*q^1296+2769510*p^107*q^1298 +28767968*p^105*q^1300+295400696*p^103*q^1302+2477189065*p^101*q^1304+ 11239779308*p^99*q^1306+14350499846*p^97*q^1308+5204560358*p^95*q^1310+ 885993301*p^93*q^1312+97348330*p^91*q^1314+7406874*p^89*q^1316+138740*p^87*q^ 1318+152*p^85*q^1320+8*p^112*q^1292+4882*p^110*q^1294+354240*p^108*q^1296+ 9044754*p^106*q^1298+90363456*p^104*q^1300+831248350*p^102*q^1302+5824263566*p^ 100*q^1304+15209152040*p^98*q^1306+10305555197*p^96*q^1308+2449488228*p^94*q^ 1310+332579246*p^92*q^1312+33182722*p^90*q^1314+1350360*p^88*q^1316+8464*p^86*q ^1318+22*p^84*q^1320+74*p^111*q^1292+57756*p^109*q^1294+2411382*p^107*q^1296+ 25891516*p^105*q^1298+268589155*p^103*q^1300+2251973272*p^101*q^1302+ 10920875353*p^99*q^1304+15042252610*p^97*q^1306+5852953674*p^95*q^1308+ 1019547778*p^93*q^1310+114919484*p^91*q^1312+9609250*p^89*q^1314+200598*p^87*q^ 1316+1044*p^85*q^1318+4634*p^110*q^1292+285418*p^108*q^1294+8254398*p^106*q^ 1296+80163026*p^104*q^1298+751809050*p^102*q^1300+5361472730*p^100*q^1302+ 15362691534*p^98*q^1304+11155759082*p^96*q^1306+2819082468*p^94*q^1308+ 394412732*p^92*q^1310+40322006*p^90*q^1312+2055284*p^88*q^1314+26516*p^86*q^ 1316+4*p^84*q^1318+164*p^111*q^1290+39128*p^109*q^1292+1776506*p^107*q^1294+ 23048858*p^105*q^1296+238864206*p^103*q^1298+2040235919*p^101*q^1300+ 10424350128*p^99*q^1302+15842764176*p^97*q^1304+6556511304*p^95*q^1306+ 1193118590*p^93*q^1308+137706398*p^91*q^1310+12319308*p^89*q^1312+277772*p^87*q ^1314+384*p^85*q^1316+32*p^112*q^1288+1516*p^110*q^1290+235294*p^108*q^1292+ 7270850*p^106*q^1294+71136744*p^104*q^1296+672052982*p^102*q^1298+4989718936*p^ 100*q^1300+15288406348*p^98*q^1302+12198492103*p^96*q^1304+3200221236*p^94*q^ 1306+461831668*p^92*q^1308+46998020*p^90*q^1310+2829519*p^88*q^1312+40494*p^86* q^1314+68*p^84*q^1316+22*p^111*q^1288+32096*p^109*q^1290+1307920*p^107*q^1292+ 21145792*p^105*q^1294+213951589*p^103*q^1296+1843378198*p^101*q^1298+ 10018945817*p^99*q^1300+16425018890*p^97*q^1302+7331970093*p^95*q^1304+ 1375980524*p^93*q^1306+165076466*p^91*q^1308+15313950*p^89*q^1310+426252*p^87*q ^1312+3056*p^85*q^1314+1584*p^110*q^1288+191882*p^108*q^1290+6400000*p^106*q^ 1292+62747612*p^104*q^1294+609076193*p^102*q^1296+4574460102*p^100*q^1298+ 15277417965*p^98*q^1300+13083444834*p^96*q^1302+3661527424*p^94*q^1304+ 539575532*p^92*q^1306+55215786*p^90*q^1308+3807686*p^88*q^1310+56144*p^86*q^ 1312+8*p^84*q^1314+400*p^111*q^1286+18616*p^109*q^1288+1085298*p^107*q^1290+ 19255077*p^105*q^1292+190142666*p^103*q^1294+1670139493*p^101*q^1296+9458543398 *p^99*q^1298+17103475188*p^97*q^1300+8134554756*p^95*q^1302+1602284634*p^93*q^ 1304+197572874*p^91*q^1306+19350068*p^89*q^1308+718706*p^87*q^1310+7682*p^85*q^ 1312+4*p^112*q^1284+738*p^110*q^1286+165006*p^108*q^1288+4925768*p^106*q^1290+ 55228444*p^104*q^1292+543274802*p^102*q^1294+4213511698*p^100*q^1296+ 15037999320*p^98*q^1298+14185665584*p^96*q^1300+4146287012*p^94*q^1302+ 633370732*p^92*q^1304+65554982*p^90*q^1306+4916088*p^88*q^1308+63154*p^86*q^ 1310+150*p^84*q^1312+56*p^111*q^1284+10760*p^109*q^1286+774974*p^107*q^1288+ 17843796*p^105*q^1290+170729639*p^103*q^1292+1501132052*p^101*q^1294+9020785053 *p^99*q^1296+17562499030*p^97*q^1298+9028620943*p^95*q^1300+1833715964*p^93*q^ 1302+231502384*p^91*q^1304+22296380*p^89*q^1306+979636*p^87*q^1308+11280*p^85*q ^1310+2064*p^110*q^1284+131708*p^108*q^1286+4342164*p^106*q^1288+49745690*p^104 *q^1290+491542643*p^102*q^1292+3853838796*p^100*q^1294+14838291600*p^98*q^1296+ 15059207000*p^96*q^1298+4718233768*p^94*q^1300+736106968*p^92*q^1302+79578587*p ^90*q^1304+6765524*p^88*q^1306+145120*p^86*q^1308+1012*p^84*q^1310+92*p^111*q^ 1282+9558*p^109*q^1284+687484*p^107*q^1286+15185674*p^105*q^1288+150434336*p^ 103*q^1290+1355137728*p^101*q^1292+8408291456*p^99*q^1294+18080688268*p^97*q^ 1296+9961051476*p^95*q^1298+2125280879*p^93*q^1300+276743064*p^91*q^1302+ 26742082*p^89*q^1304+1364950*p^87*q^1306+11240*p^85*q^1308+1276*p^110*q^1282+ 71918*p^108*q^1284+3166582*p^106*q^1286+45338046*p^104*q^1288+437210290*p^102*q ^1290+3532483489*p^100*q^1292+14478494950*p^98*q^1294+16173280927*p^96*q^1296+ 5302816830*p^94*q^1298+859711306*p^92*q^1300+93621480*p^90*q^1302+8334912*p^88* q^1304+201590*p^86*q^1306+1568*p^84*q^1308+8*p^111*q^1280+7228*p^109*q^1282+ 608796*p^107*q^1284+13751440*p^105*q^1286+133576795*p^103*q^1288+1223842506*p^ 101*q^1290+7947782819*p^99*q^1292+18321750308*p^97*q^1294+10966222521*p^95*q^ 1296+2425466612*p^93*q^1298+322848064*p^91*q^1300+31181550*p^89*q^1302+1906512* p^87*q^1304+20340*p^85*q^1306+68*p^83*q^1308+852*p^110*q^1280+68632*p^108*q^ 1282+2601856*p^106*q^1284+40448782*p^104*q^1286+395650038*p^102*q^1288+ 3201741298*p^100*q^1290+14117598950*p^98*q^1292+17038628360*p^96*q^1294+ 6004826398*p^94*q^1296+997777764*p^92*q^1298+113493872*p^90*q^1300+10645898*p^ 88*q^1302+328820*p^86*q^1304+3500*p^84*q^1306+9962*p^109*q^1280+426952*p^107*q^ 1282+11455012*p^105*q^1284+118612854*p^103*q^1286+1100181930*p^101*q^1288+ 7367333902*p^99*q^1290+18680170608*p^97*q^1292+11974364178*p^95*q^1294+ 2796381213*p^93*q^1296+379068414*p^91*q^1298+37133944*p^89*q^1300+2519218*p^87* q^1302+33756*p^85*q^1304+84*p^83*q^1306+384*p^110*q^1278+38642*p^108*q^1280+ 2228004*p^106*q^1282+36784584*p^104*q^1284+351426082*p^102*q^1286+2927127351*p^ 100*q^1288+13599101888*p^98*q^1290+18079507501*p^96*q^1292+6719700754*p^94*q^ 1294+1159429246*p^92*q^1296+134768676*p^90*q^1298+12536604*p^88*q^1300+477522*p ^86*q^1302+2397*p^84*q^1304+5678*p^109*q^1278+351554*p^107*q^1280+9242928*p^105 *q^1282+106121130*p^103*q^1284+988050902*p^101*q^1286+6903686959*p^99*q^1288+ 18724828358*p^97*q^1290+13123445861*p^95*q^1292+3176160302*p^93*q^1294+ 443859117*p^91*q^1296+43822214*p^89*q^1298+3476794*p^87*q^1300+54384*p^85*q^ 1302+788*p^83*q^1304+20*p^110*q^1276+44966*p^108*q^1278+1859296*p^106*q^1280+ 33509006*p^104*q^1282+315565407*p^102*q^1284+2648795502*p^100*q^1286+ 13137569129*p^98*q^1288+18849821502*p^96*q^1290+7535371265*p^94*q^1292+ 1337503250*p^92*q^1294+160293712*p^90*q^1296+14812130*p^88*q^1298+642698*p^86*q ^1300+4732*p^84*q^1302+4*p^111*q^1274+5076*p^109*q^1276+253300*p^107*q^1278+ 7751548*p^105*q^1280+93947090*p^103*q^1282+891252092*p^101*q^1284+6341738734*p^ 99*q^1286+18870803511*p^97*q^1288+14181348720*p^95*q^1290+3653542279*p^93*q^ 1292+520456388*p^91*q^1294+53124086*p^89*q^1296+4620668*p^87*q^1298+111720*p^85 *q^1300+718*p^83*q^1302+12*p^110*q^1274+33480*p^108*q^1276+1509968*p^106*q^1278 +28640652*p^104*q^1280+279892468*p^102*q^1282+2405996930*p^100*q^1284+ 12521727090*p^98*q^1286+19812459587*p^96*q^1288+8397925072*p^94*q^1290+ 1550597330*p^92*q^1292+187968970*p^90*q^1294+17488509*p^88*q^1296+854002*p^86*q ^1298+4332*p^84*q^1300+72*p^82*q^1302+8*p^111*q^1272+968*p^109*q^1274+186436*p^ 107*q^1276+6424088*p^105*q^1278+86443400*p^103*q^1280+800173518*p^101*q^1282+ 5900625416*p^99*q^1284+18719026554*p^97*q^1286+15420492980*p^95*q^1288+ 4114365296*p^93*q^1290+603356818*p^91*q^1292+63280232*p^89*q^1294+5526756*p^87* q^1296+149114*p^85*q^1298+388*p^83*q^1300+48*p^110*q^1272+32704*p^108*q^1274+ 1257082*p^106*q^1276+25102152*p^104*q^1278+249719775*p^102*q^1280+2171520554*p^ 100*q^1282+11983017277*p^98*q^1284+20417841420*p^96*q^1286+9357628634*p^94*q^ 1288+1787931320*p^92*q^1290+223574336*p^90*q^1292+20512270*p^88*q^1294+1370696* p^86*q^1296+19672*p^84*q^1298+237*p^82*q^1300+44*p^111*q^1270+552*p^109*q^1272+ 172448*p^107*q^1274+5501898*p^105*q^1276+76803984*p^103*q^1278+720479315*p^101* q^1280+5391143452*p^99*q^1282+18602209950*p^97*q^1284+16546974132*p^95*q^1286+ 4713009362*p^93*q^1288+703005644*p^91*q^1290+76378859*p^89*q^1292+7042208*p^87* q^1294+189978*p^85*q^1296+104*p^83*q^1298+96*p^110*q^1270+15220*p^108*q^1272+ 873350*p^106*q^1274+20568820*p^104*q^1276+221047200*p^102*q^1278+1964592484*p^ 100*q^1280+11304561020*p^98*q^1282+21263058697*p^96*q^1284+10333439782*p^94*q^ 1286+2061406483*p^92*q^1288+261116762*p^90*q^1290+24058545*p^88*q^1292+1669402* p^86*q^1294+29400*p^84*q^1296+8*p^82*q^1298+8*p^111*q^1268+364*p^109*q^1270+ 145176*p^107*q^1272+4810818*p^105*q^1274+70317438*p^103*q^1276+646590864*p^101* q^1278+4995301405*p^99*q^1280+18280622314*p^97*q^1282+17776896057*p^95*q^1284+ 5298275850*p^93*q^1286+817455168*p^91*q^1288+89934146*p^89*q^1290+8172442*p^87* q^1292+309552*p^85*q^1294+1838*p^83*q^1296+42*p^81*q^1298+556*p^110*q^1268+7500 *p^108*q^1270+780516*p^106*q^1272+17725138*p^104*q^1274+198711882*p^102*q^1276+ 1769439278*p^100*q^1278+10701265377*p^98*q^1280+21662343450*p^96*q^1282+ 11462058763*p^94*q^1284+2360000172*p^92*q^1286+306688156*p^90*q^1288+29323864*p ^88*q^1290+2426264*p^86*q^1292+45336*p^84*q^1294+548*p^109*q^1268+113550*p^107* q^1270+3739699*p^105*q^1272+60818906*p^103*q^1274+577016287*p^101*q^1276+ 4529485010*p^99*q^1278+18005387817*p^97*q^1280+18918775762*p^95*q^1282+ 6018007109*p^93*q^1284+951912204*p^91*q^1286+108507334*p^89*q^1288+9532372*p^87 *q^1290+401818*p^85*q^1292+4368*p^83*q^1294+196*p^110*q^1266+4404*p^108*q^1268+ 601032*p^106*q^1270+15457846*p^104*q^1272+178827442*p^102*q^1274+1603851186*p^ 100*q^1276+10016269536*p^98*q^1278+22280185882*p^96*q^1280+12558986416*p^94*q^ 1282+2711868518*p^92*q^1284+354717106*p^90*q^1286+34491474*p^88*q^1288+3030158* p^86*q^1290+62826*p^84*q^1292+60*p^82*q^1294+3*p^80*q^1296+2932*p^109*q^1266+ 62566*p^107*q^1268+3124970*p^105*q^1270+52898340*p^103*q^1272+513970978*p^101*q ^1274+4162786004*p^99*q^1276+17453526514*p^97*q^1278+20191037203*p^95*q^1280+ 6732814316*p^93*q^1282+1105580358*p^91*q^1284+127989120*p^89*q^1286+11182238*p^ 87*q^1288+610086*p^85*q^1290+7684*p^83*q^1292+28*p^110*q^1264+2692*p^108*q^1266 +544224*p^106*q^1268+13230210*p^104*q^1270+162423972*p^102*q^1272+1444970740*p^ 100*q^1274+9426556821*p^98*q^1276+22485245820*p^96*q^1278+13811485990*p^94*q^ 1280+3094908610*p^92*q^1282+414669386*p^90*q^1284+41642398*p^88*q^1286+3727470* p^86*q^1288+81612*p^84*q^1290+388*p^82*q^1292+4*p^111*q^1262+2460*p^109*q^1264+ 45640*p^107*q^1266+2519934*p^105*q^1268+45775478*p^103*q^1270+460022698*p^101*q ^1272+3761914870*p^99*q^1274+16974368315*p^97*q^1276+21207315060*p^95*q^1278+ 7610420150*p^93*q^1280+1276566078*p^91*q^1282+152022728*p^89*q^1284+13304852*p^ 87*q^1286+937270*p^85*q^1288+16566*p^83*q^1290+8*p^110*q^1262+9148*p^108*q^1264 +376442*p^106*q^1266+10999072*p^104*q^1268+143436206*p^102*q^1270+1300019551*p^ 100*q^1272+8737551846*p^98*q^1274+22901220366*p^96*q^1276+15044362512*p^94*q^ 1278+3550163248*p^92*q^1280+484390642*p^90*q^1282+49967121*p^88*q^1284+4357918* p^86*q^1286+104718*p^84*q^1288+552*p^82*q^1290+660*p^109*q^1262+19968*p^107*q^ 1264+2121962*p^105*q^1266+40130958*p^103*q^1268+412372962*p^101*q^1270+ 3451245211*p^99*q^1272+16322965428*p^97*q^1274+22398825688*p^95*q^1276+ 8451627524*p^93*q^1278+1472630775*p^91*q^1280+174380600*p^89*q^1282+15378480*p^ 87*q^1284+1193638*p^85*q^1286+15380*p^83*q^1288+8*p^81*q^1290+84*p^110*q^1260+ 14580*p^108*q^1262+295140*p^106*q^1264+9455570*p^104*q^1266+128602356*p^102*q^ 1268+1167256372*p^100*q^1270+8153597863*p^98*q^1272+22827194044*p^96*q^1274+ 16426756141*p^94*q^1276+4024900418*p^92*q^1278+567854586*p^90*q^1280+61143048*p ^88*q^1282+5291348*p^86*q^1284+224294*p^84*q^1286+3824*p^82*q^1288+296*p^109*q^ 1260+27954*p^107*q^1262+1741026*p^105*q^1264+34554668*p^103*q^1266+369364982*p^ 101*q^1268+3107073652*p^99*q^1270+15708989730*p^97*q^1272+23332797586*p^95*q^ 1274+9494495013*p^93*q^1276+1703175906*p^91*q^1278+206342935*p^89*q^1280+ 18491784*p^87*q^1282+1580178*p^85*q^1284+12276*p^83*q^1286+8*p^81*q^1288+8*p^ 110*q^1258+7424*p^108*q^1260+168758*p^106*q^1262+7645262*p^104*q^1264+111629998 *p^102*q^1266+1048584210*p^100*q^1268+7501796938*p^98*q^1270+22972660778*p^96*q ^1272+17728862574*p^94*q^1274+4596714258*p^92*q^1276+656153794*p^90*q^1278+ 71595049*p^88*q^1280+5997558*p^86*q^1282+294880*p^84*q^1284+3644*p^82*q^1286+ 696*p^109*q^1258+47366*p^107*q^1260+1386506*p^105*q^1262+30354864*p^103*q^1264+ 334219174*p^101*q^1266+2839375408*p^99*q^1268+14964219356*p^97*q^1270+ 24397926009*p^95*q^1272+10492000396*p^93*q^1274+1956048866*p^91*q^1276+ 238144324*p^89*q^1278+22387854*p^87*q^1280+1903000*p^85*q^1282+36788*p^83*q^ 1284+416*p^81*q^1286+4176*p^108*q^1258+135704*p^106*q^1260+6673568*p^104*q^1262 +99151197*p^102*q^1264+936328510*p^100*q^1266+6951529035*p^98*q^1268+ 22643576662*p^96*q^1270+19176010559*p^94*q^1272+5192171912*p^92*q^1274+ 769619107*p^90*q^1276+85801616*p^88*q^1278+7017218*p^86*q^1280+466688*p^84*q^ 1282+1128*p^82*q^1284+264*p^109*q^1256+44938*p^107*q^1258+1027440*p^105*q^1260+ 25355130*p^103*q^1262+297549665*p^101*q^1264+2554182768*p^99*q^1266+14266093813 *p^97*q^1268+25146894108*p^95*q^1270+11722131803*p^93*q^1272+2248344884*p^91*q^ 1274+279588005*p^89*q^1276+27031480*p^87*q^1278+2402036*p^85*q^1280+58254*p^83* q^1282+1034*p^81*q^1284+3748*p^108*q^1256+132286*p^106*q^1258+5417942*p^104*q^ 1260+87198312*p^102*q^1262+842978976*p^100*q^1264+6354321776*p^98*q^1266+ 22530471638*p^96*q^1268+20518723712*p^94*q^1270+5889822479*p^92*q^1272+ 886908908*p^90*q^1274+100139843*p^88*q^1276+8206364*p^86*q^1278+562866*p^84*q^ 1280+3270*p^82*q^1282+8*p^80*q^1284+24*p^109*q^1254+30968*p^107*q^1256+742208*p ^105*q^1258+22097288*p^103*q^1260+263961946*p^101*q^1262+2322646753*p^99*q^1264 +13449024928*p^97*q^1266+26035619120*p^95*q^1268+12876459264*p^93*q^1270+ 2584891827*p^91*q^1272+326256758*p^89*q^1274+32587874*p^87*q^1276+2758466*p^85* q^1278+105428*p^83*q^1280+64*p^81*q^1282+3072*p^108*q^1254+159750*p^106*q^1256+ 4517396*p^104*q^1258+76587388*p^102*q^1260+758086916*p^100*q^1262+5862743288*p^ 98*q^1264+21992070644*p^96*q^1266+22010502799*p^94*q^1268+6613387304*p^92*q^ 1270+1031012700*p^90*q^1272+115178176*p^88*q^1274+9721462*p^86*q^1276+785508*p^ 84*q^1278+8964*p^82*q^1280+188*p^80*q^1282+12*p^109*q^1252+21964*p^107*q^1254+ 590284*p^105*q^1256+18871516*p^103*q^1258+235584634*p^101*q^1260+2077078042*p^ 99*q^1262+12707305637*p^97*q^1264+26488830700*p^95*q^1266+14271932968*p^93*q^ 1268+2959304846*p^91*q^1270+384349936*p^89*q^1272+40725942*p^87*q^1274+3282108* p^85*q^1276+146714*p^83*q^1278+96*p^81*q^1280+24*p^110*q^1250+876*p^108*q^1252+ 146982*p^106*q^1254+3436384*p^104*q^1256+65600566*p^102*q^1258+679370217*p^100* q^1260+5333347958*p^98*q^1262+21646910273*p^96*q^1264+23351741464*p^94*q^1266+ 7487432387*p^92*q^1268+1187091090*p^90*q^1270+134779698*p^88*q^1272+11177820*p^ 86*q^1274+1006982*p^84*q^1276+16376*p^82*q^1278+18900*p^107*q^1252+483270*p^105 *q^1254+15976184*p^103*q^1256+210306974*p^101*q^1258+1884413033*p^99*q^1260+ 11875026870*p^97*q^1262+27162229049*p^95*q^1264+15553566388*p^93*q^1266+ 3376678229*p^91*q^1268+444221314*p^89*q^1270+47062558*p^87*q^1272+3703652*p^85* q^1274+181126*p^83*q^1276+874*p^81*q^1278+14*p^79*q^1280+388*p^108*q^1250+ 119972*p^106*q^1252+2891936*p^104*q^1254+58405368*p^102*q^1256+606702090*p^100* q^1258+4902077204*p^98*q^1260+20900007070*p^96*q^1262+24812977014*p^94*q^1264+ 8358268090*p^92*q^1266+1380576799*p^90*q^1268+157758090*p^88*q^1270+14397474*p^ 86*q^1272+1276730*p^84*q^1274+36608*p^82*q^1276+296*p^109*q^1248+11332*p^107*q^ 1250+518296*p^105*q^1252+13177962*p^103*q^1254+184585522*p^101*q^1256+ 1689355648*p^99*q^1258+11109369138*p^97*q^1260+27343213244*p^95*q^1262+ 17131038192*p^93*q^1264+3852914062*p^91*q^1266+521372486*p^89*q^1268+55723492*p ^87*q^1270+4214488*p^85*q^1272+284744*p^83*q^1274+1344*p^81*q^1276+2*p^110*q^ 1246+60*p^108*q^1248+90456*p^106*q^1250+2004766*p^104*q^1252+49955648*p^102*q^ 1254+544736420*p^100*q^1256+4427990234*p^98*q^1258+20355181919*p^96*q^1260+ 26072822350*p^94*q^1262+9412814456*p^92*q^1264+1582301060*p^90*q^1266+184110879 *p^88*q^1268+17506754*p^86*q^1270+1453866*p^84*q^1272+30618*p^82*q^1274+32*p^80 *q^1276+40*p^109*q^1246+5520*p^107*q^1248+478612*p^105*q^1250+11346028*p^103*q^ 1252+163371728*p^101*q^1254+1529206844*p^99*q^1256+10331576820*p^97*q^1258+ 27697131265*p^95*q^1260+18530087000*p^93*q^1262+4384630777*p^91*q^1264+ 601985326*p^89*q^1266+63984478*p^87*q^1268+4713916*p^85*q^1270+411300*p^83*q^ 1272+7218*p^81*q^1274+8*p^110*q^1244+1472*p^108*q^1246+75772*p^106*q^1248+ 1806948*p^104*q^1250+43115354*p^102*q^1252+487546594*p^100*q^1254+4050206786*p^ 98*q^1256+19444521038*p^96*q^1258+27424683932*p^94*q^1260+10463176368*p^92*q^ 1262+1832539992*p^90*q^1264+215918576*p^88*q^1266+21924613*p^86*q^1268+1771218* p^84*q^1270+58480*p^82*q^1272+36*p^80*q^1274+24*p^109*q^1244+1852*p^107*q^1246+ 399380*p^105*q^1248+8857060*p^103*q^1250+143863068*p^101*q^1252+1361467958*p^99 *q^1254+9602175452*p^97*q^1256+27604773104*p^95*q^1258+20239006029*p^93*q^1260+ 4970300936*p^91*q^1262+705016668*p^89*q^1264+75063504*p^87*q^1266+5688306*p^85* q^1268+513792*p^83*q^1270+5694*p^81*q^1272+14*p^110*q^1242+912*p^108*q^1244+ 48768*p^106*q^1246+1605536*p^104*q^1248+37297386*p^102*q^1250+434154104*p^100*q ^1252+3659087996*p^98*q^1254+18739821204*p^96*q^1256+28518313366*p^94*q^1258+ 11692387005*p^92*q^1260+2098170912*p^90*q^1262+251984993*p^88*q^1264+25556896*p ^86*q^1266+1917606*p^84*q^1268+95112*p^82*q^1270+776*p^80*q^1272+96*p^109*q^ 1242+4364*p^107*q^1244+337410*p^105*q^1246+7089902*p^103*q^1248+125594664*p^101 *q^1250+1234224706*p^99*q^1252+8834775794*p^97*q^1254+27682923647*p^95*q^1256+ 21744893440*p^93*q^1258+5650927353*p^91*q^1260+810766776*p^89*q^1262+87135768*p ^87*q^1264+7332280*p^85*q^1266+633160*p^83*q^1268+8376*p^81*q^1270+202*p^108*q^ 1242+24168*p^106*q^1244+1478632*p^104*q^1246+32058582*p^102*q^1248+387709228*p^ 100*q^1250+3326642664*p^98*q^1252+17756544886*p^96*q^1254+29719776091*p^94*q^ 1256+12916503958*p^92*q^1258+2411056395*p^90*q^1260+295599560*p^88*q^1262+ 30198069*p^86*q^1264+1969486*p^84*q^1266+147696*p^82*q^1268+1418*p^80*q^1270+ 201*p^109*q^1240+6696*p^107*q^1242+283260*p^105*q^1244+5882496*p^103*q^1246+ 110468972*p^101*q^1248+1100033282*p^99*q^1250+8178098655*p^97*q^1252+ 27225376876*p^95*q^1254+23532366758*p^93*q^1256+6376110044*p^91*q^1258+ 948190402*p^89*q^1260+101346458*p^87*q^1262+9357794*p^85*q^1264+859542*p^83*q^ 1266+15472*p^81*q^1268+24*p^79*q^1270+4*p^110*q^1238+552*p^108*q^1240+15776*p^ 106*q^1242+1262320*p^104*q^1244+26107462*p^102*q^1246+342261166*p^100*q^1248+ 2991541900*p^98*q^1250+16923082566*p^96*q^1252+30572551394*p^94*q^1254+ 14394299792*p^92*q^1256+2754319078*p^90*q^1258+344711161*p^88*q^1260+35610748*p ^86*q^1262+2230770*p^84*q^1264+173450*p^82*q^1266+664*p^80*q^1268+16*p^109*q^ 1238+2204*p^107*q^1240+181910*p^105*q^1242+4990060*p^103*q^1244+97180160*p^101* q^1246+996154622*p^99*q^1248+7490801372*p^97*q^1250+27048873075*p^95*q^1252+ 25064548196*p^93*q^1254+7196631573*p^91*q^1256+1085752824*p^89*q^1258+118069531 *p^87*q^1260+10954848*p^85*q^1262+860046*p^83*q^1264+29548*p^81*q^1266+256*p^79 *q^1268+1318*p^108*q^1238+27540*p^106*q^1240+1156864*p^104*q^1242+22231788*p^ 102*q^1244+303536504*p^100*q^1246+2717026511*p^98*q^1248+15895321048*p^96*q^ 1250+31502188783*p^94*q^1252+15754586066*p^92*q^1254+3168200871*p^90*q^1256+ 402821030*p^88*q^1258+41109992*p^86*q^1260+2989220*p^84*q^1262+292136*p^82*q^ 1264+2000*p^80*q^1266+90*p^109*q^1236+2662*p^107*q^1238+107808*p^105*q^1240+ 4446678*p^103*q^1242+83336761*p^101*q^1244+885012878*p^99*q^1246+6876723274*p^ 97*q^1248+26319144638*p^95*q^1250+26913252559*p^93*q^1252+8108846164*p^91*q^ 1254+1261934448*p^89*q^1256+139237608*p^87*q^1258+13997232*p^85*q^1260+885370*p ^83*q^1262+42012*p^81*q^1264+16*p^79*q^1266+500*p^108*q^1236+16686*p^106*q^1238 +918664*p^104*q^1240+17716170*p^102*q^1242+269172228*p^100*q^1244+2434730218*p^ 98*q^1246+15039940396*p^96*q^1248+32097487474*p^94*q^1250+17427271903*p^92*q^ 1252+3589586510*p^90*q^1254+469310671*p^88*q^1256+46825480*p^86*q^1258+3415822* p^84*q^1260+346978*p^82*q^1262+3284*p^80*q^1264+20*p^78*q^1266+8*p^109*q^1234+ 5063*p^107*q^1236+104912*p^105*q^1238+3893356*p^103*q^1240+73137624*p^101*q^ 1242+796354792*p^99*q^1244+6275369330*p^97*q^1246+25831891843*p^95*q^1248+ 28383763712*p^93*q^1250+9121006443*p^91*q^1252+1446218052*p^89*q^1254+162734916 *p^87*q^1256+16357346*p^85*q^1258+974074*p^83*q^1260+64682*p^81*q^1262+192*p^79 *q^1264+768*p^108*q^1234+13928*p^106*q^1236+658228*p^104*q^1238+15512720*p^102* q^1240+236640060*p^100*q^1242+2208379080*p^98*q^1244+13990161450*p^96*q^1246+ 32729980159*p^94*q^1248+18994609188*p^92*q^1250+4111819684*p^90*q^1252+ 545663682*p^88*q^1254+54839553*p^86*q^1256+4661236*p^84*q^1258+418174*p^82*q^ 1260+8988*p^80*q^1262+4512*p^107*q^1234+85708*p^105*q^1236+3495900*p^103*q^1238 +60772838*p^101*q^1240+707335462*p^99*q^1242+5734442484*p^97*q^1244+24914273546 *p^95*q^1246+30177125763*p^93*q^1248+10190860412*p^91*q^1250+1676145573*p^89*q^ 1252+191280142*p^87*q^1254+19171986*p^85*q^1256+1039580*p^83*q^1258+100630*p^81 *q^1260+144*p^79*q^1262+284*p^108*q^1232+15580*p^106*q^1234+494496*p^104*q^1236 +12834704*p^102*q^1238+210235900*p^100*q^1240+1977827770*p^98*q^1242+ 13117697051*p^96*q^1244+32933741416*p^94*q^1246+20839593163*p^92*q^1248+ 4659990962*p^90*q^1250+631265780*p^88*q^1252+63386248*p^86*q^1254+5844670*p^84* q^1256+426176*p^82*q^1258+10462*p^80*q^1260+10*p^78*q^1262+4098*p^107*q^1232+ 66764*p^105*q^1234+2867814*p^103*q^1236+52299142*p^101*q^1238+630875774*p^99*q^ 1240+5199558816*p^97*q^1242+24213590861*p^95*q^1244+31581675160*p^93*q^1246+ 11422541526*p^91*q^1248+1913863700*p^89*q^1250+225468366*p^87*q^1252+21925968*p ^85*q^1254+1262818*p^83*q^1256+144494*p^81*q^1258+1132*p^79*q^1260+22*p^108*q^ 1230+20107*p^106*q^1232+403516*p^104*q^1234+11570104*p^102*q^1236+183380048*p^ 100*q^1238+1795726920*p^98*q^1240+12142784298*p^96*q^1242+33239413215*p^94*q^ 1244+22513792668*p^92*q^1246+5312550723*p^90*q^1248+728770254*p^88*q^1250+ 73998836*p^86*q^1252+7203762*p^84*q^1254+407700*p^82*q^1256+19602*p^80*q^1258+ 20*p^109*q^1228+3488*p^107*q^1230+60038*p^105*q^1232+2284124*p^103*q^1234+ 43759256*p^101*q^1236+560140526*p^99*q^1238+4725781194*p^97*q^1240+23060028078* p^95*q^1242+33227381527*p^93*q^1244+12704780338*p^91*q^1246+2210558810*p^89*q^ 1248+265144680*p^87*q^1250+25610018*p^85*q^1252+1782520*p^83*q^1254+197742*p^81 *q^1256+1978*p^79*q^1258+28*p^108*q^1228+18236*p^106*q^1230+299402*p^104*q^1232 +9973920*p^102*q^1234+159502104*p^100*q^1236+1595270230*p^98*q^1238+11317867921 *p^96*q^1240+33114231924*p^94*q^1242+24549832975*p^92*q^1244+5999610796*p^90*q^ 1246+846349355*p^88*q^1248+86503446*p^86*q^1250+8547929*p^84*q^1252+381968*p^82 *q^1254+29328*p^80*q^1256+40*p^78*q^1258+640*p^107*q^1228+61214*p^105*q^1230+ 1820048*p^103*q^1232+37149328*p^101*q^1234+500566846*p^99*q^1236+4289366234*p^ 97*q^1238+22194712684*p^95*q^1240+34380539976*p^93*q^1242+14150555477*p^91*q^ 1244+2513457562*p^89*q^1246+305860206*p^87*q^1248+28640998*p^85*q^1250+2228556* p^83*q^1252+181828*p^81*q^1254+2318*p^79*q^1256+248*p^108*q^1226+20746*p^106*q^ 1228+265230*p^104*q^1230+8677358*p^102*q^1232+139493354*p^100*q^1234+1442744061 *p^98*q^1236+10369582552*p^96*q^1238+33093329111*p^94*q^1240+26311213188*p^92*q ^1242+6813350894*p^90*q^1244+977420810*p^88*q^1246+104679129*p^86*q^1248+ 10354590*p^84*q^1250+476954*p^82*q^1252+66780*p^80*q^1254+352*p^78*q^1256+588*p ^107*q^1226+69018*p^105*q^1228+1404064*p^103*q^1230+32428756*p^101*q^1232+ 439199400*p^99*q^1234+3885800998*p^97*q^1236+20985050850*p^95*q^1238+ 35807247036*p^93*q^1240+15627763072*p^91*q^1242+2902297056*p^89*q^1244+ 356526660*p^87*q^1246+32862606*p^85*q^1248+2914142*p^83*q^1250+192410*p^81*q^ 1252+3196*p^79*q^1254+32*p^108*q^1224+9044*p^106*q^1226+202988*p^104*q^1228+ 7102280*p^102*q^1230+117308653*p^100*q^1232+1284272834*p^98*q^1234+9594609558*p ^96*q^1236+32559471454*p^94*q^1238+28483436596*p^92*q^1240+7667238902*p^90*q^ 1242+1126387853*p^88*q^1244+122301328*p^86*q^1246+11887130*p^84*q^1248+569850*p ^82*q^1250+66316*p^80*q^1252+132*p^78*q^1254+1281*p^107*q^1224+76978*p^105*q^ 1226+1140303*p^103*q^1228+28262660*p^101*q^1230+395290362*p^99*q^1232+ 3508854162*p^97*q^1234+20013827152*p^95*q^1236+36728652692*p^93*q^1238+ 17303535064*p^91*q^1240+3284299924*p^89*q^1242+412651958*p^87*q^1244+38138904*p ^85*q^1246+3576351*p^83*q^1248+163708*p^81*q^1250+13776*p^79*q^1252+28*p^77*q^ 1254+5924*p^106*q^1224+226692*p^104*q^1226+5943068*p^102*q^1228+102293240*p^100 *q^1230+1149211302*p^98*q^1232+8766709512*p^96*q^1234+32126816672*p^94*q^1236+ 30236205272*p^92*q^1238+8681815264*p^90*q^1240+1302214238*p^88*q^1242+145557380 *p^86*q^1244+13336466*p^84*q^1246+832764*p^82*q^1248+88694*p^80*q^1250+172*p^78 *q^1252+796*p^107*q^1222+60692*p^105*q^1224+861530*p^103*q^1226+24309506*p^101* q^1228+342226816*p^99*q^1230+3181322409*p^97*q^1232+18734573500*p^95*q^1234+ 37881172203*p^93*q^1236+19023419488*p^91*q^1238+3777344454*p^89*q^1240+ 477498754*p^87*q^1242+45333070*p^85*q^1244+4653966*p^83*q^1246+148684*p^81*q^ 1248+18336*p^79*q^1250+5122*p^106*q^1222+229580*p^104*q^1224+4791014*p^102*q^ 1226+87812278*p^100*q^1228+1025917048*p^98*q^1230+8055037599*p^96*q^1232+ 31332938456*p^94*q^1234+32363228716*p^92*q^1236+9702931464*p^90*q^1238+ 1497894630*p^88*q^1240+168631196*p^86*q^1242+14810220*p^84*q^1244+996972*p^82*q ^1246+93186*p^80*q^1248+1460*p^78*q^1250+84*p^107*q^1220+39738*p^105*q^1222+ 768806*p^103*q^1224+20767296*p^101*q^1226+301418145*p^99*q^1228+2851899024*p^97 *q^1230+17718873641*p^95*q^1232+38410011078*p^93*q^1234+20954396300*p^91*q^1236 +4282869922*p^89*q^1238+554944890*p^87*q^1240+54210656*p^85*q^1242+5451780*p^83 *q^1244+196384*p^81*q^1246+23978*p^79*q^1248+5976*p^106*q^1220+231766*p^104*q^ 1222+3769129*p^102*q^1224+76989760*p^100*q^1226+919518201*p^98*q^1228+ 7335321094*p^96*q^1230+30644824307*p^94*q^1232+34118755252*p^92*q^1234+ 10915989887*p^90*q^1236+1715055206*p^88*q^1238+196483341*p^86*q^1240+16548142*p ^84*q^1242+1410942*p^82*q^1244+64642*p^80*q^1246+3944*p^78*q^1248+4*p^109*q^ 1216+68*p^107*q^1218+30074*p^105*q^1220+733322*p^103*q^1222+17960760*p^101*q^ 1224+261094180*p^99*q^1226+2573805032*p^97*q^1228+16436191608*p^95*q^1230+ 39141810177*p^93*q^1232+22833772956*p^91*q^1234+4905390145*p^89*q^1236+ 644939268*p^87*q^1238+65919326*p^85*q^1240+6339270*p^83*q^1242+254536*p^81*q^ 1244+44092*p^79*q^1246+56*p^77*q^1248+2068*p^106*q^1218+190746*p^104*q^1220+ 2970808*p^102*q^1222+65530592*p^100*q^1224+812506982*p^98*q^1226+6712108521*p^ 96*q^1228+29523095424*p^94*q^1230+36277219904*p^92*q^1232+12174299742*p^90*q^ 1234+1976007130*p^88*q^1236+226408530*p^86*q^1238+18851190*p^84*q^1240+1895298* p^82*q^1242+50004*p^80*q^1244+3092*p^78*q^1246+8*p^109*q^1214+25226*p^105*q^ 1218+669704*p^103*q^1220+14728630*p^101*q^1222+230122200*p^99*q^1224+2308933730 *p^97*q^1226+15430457616*p^95*q^1228+39302215642*p^93*q^1230+24953343807*p^91*q ^1232+5532726376*p^89*q^1234+742049572*p^87*q^1236+77003734*p^85*q^1238+6812570 *p^83*q^1240+303392*p^81*q^1242+36952*p^79*q^1244+568*p^77*q^1246+48*p^108*q^ 1214+1268*p^106*q^1216+167154*p^104*q^1218+2711026*p^102*q^1220+57847998*p^100* q^1222+724183638*p^98*q^1224+6085835992*p^96*q^1226+28587803996*p^94*q^1228+ 37764423318*p^92*q^1230+13650128050*p^90*q^1232+2259361872*p^88*q^1234+ 265653170*p^86*q^1236+22917812*p^84*q^1238+2464128*p^82*q^1240+64822*p^80*q^ 1242+12346*p^78*q^1244+4*p^109*q^1212+18956*p^105*q^1216+653388*p^103*q^1218+ 11822978*p^101*q^1220+198274686*p^99*q^1222+2075761263*p^97*q^1224+14204970394* p^95*q^1226+39628337789*p^93*q^1228+27018505712*p^91*q^1230+6315567919*p^89*q^ 1232+860290606*p^87*q^1234+91346592*p^85*q^1236+7454726*p^83*q^1238+495218*p^81 *q^1240+28058*p^79*q^1242+120*p^77*q^1244+104*p^108*q^1212+210*p^106*q^1214+ 108085*p^104*q^1216+2150584*p^102*q^1218+49717274*p^100*q^1220+635713758*p^98*q ^1222+5539972718*p^96*q^1224+27310203068*p^94*q^1226+39777765994*p^92*q^1228+ 15117917068*p^90*q^1230+2596844825*p^88*q^1232+305582630*p^86*q^1234+27440462*p ^84*q^1236+2789242*p^82*q^1238+51032*p^80*q^1240+14996*p^78*q^1242+36*p^76*q^ 1244+224*p^107*q^1212+11362*p^105*q^1214+647797*p^103*q^1216+10165316*p^101*q^ 1218+173684472*p^99*q^1220+1859851160*p^97*q^1222+13266562090*p^95*q^1224+ 39334005950*p^93*q^1226+29312741850*p^91*q^1228+7092887126*p^89*q^1230+ 990763720*p^87*q^1232+105145040*p^85*q^1234+7975298*p^83*q^1236+744106*p^81*q^ 1238+17928*p^79*q^1240+1786*p^77*q^1242+80*p^108*q^1210+92*p^106*q^1212+99392*p ^104*q^1214+1976394*p^102*q^1216+42142740*p^100*q^1218+564805014*p^98*q^1220+ 4997236788*p^96*q^1222+26122873056*p^94*q^1224+41081326106*p^92*q^1226+ 16863528113*p^90*q^1228+2967567584*p^88*q^1230+357451664*p^86*q^1232+34062990*p ^84*q^1234+3298130*p^82*q^1236+92300*p^80*q^1238+17116*p^78*q^1240+604*p^107*q^ 1210+5206*p^105*q^1212+505298*p^103*q^1214+8286442*p^101*q^1216+150948446*p^99* q^1218+1662847101*p^97*q^1220+12140665428*p^95*q^1222+39291171070*p^93*q^1224+ 31454228894*p^91*q^1226+8065598802*p^89*q^1228+1140361640*p^87*q^1230+123436629 *p^85*q^1232+8950962*p^83*q^1234+959334*p^81*q^1236+10150*p^79*q^1238+3748*p^77 *q^1240+12*p^108*q^1208+596*p^106*q^1210+70154*p^104*q^1212+1906818*p^102*q^ 1214+35591865*p^100*q^1216+494439046*p^98*q^1218+4541209423*p^96*q^1220+ 24728633928*p^94*q^1222+42722822381*p^92*q^1224+18589555876*p^90*q^1226+ 3399233106*p^88*q^1228+412228032*p^86*q^1230+40180984*p^84*q^1232+3538020*p^82* q^1234+159730*p^80*q^1236+9912*p^78*q^1238+94*p^76*q^1240+788*p^107*q^1208+1644 *p^105*q^1210+409954*p^103*q^1212+6797504*p^101*q^1214+131969342*p^99*q^1216+ 1480791980*p^97*q^1218+11240532566*p^95*q^1220+38577589132*p^93*q^1222+ 33910774985*p^91*q^1224+9038440010*p^89*q^1226+1312936136*p^87*q^1228+142356102 *p^85*q^1230+11025056*p^83*q^1232+1173156*p^81*q^1234+11376*p^79*q^1236+5872*p^ 77*q^1238+1984*p^106*q^1208+46696*p^104*q^1210+1836447*p^102*q^1212+30524806*p^ 100*q^1214+436854612*p^98*q^1216+4089956876*p^96*q^1218+23503166169*p^94*q^1220 +43704884118*p^92*q^1222+20566215006*p^90*q^1224+3861348432*p^88*q^1226+ 480874129*p^86*q^1228+47607460*p^84*q^1230+3433634*p^82*q^1232+260946*p^80*q^ 1234+2990*p^78*q^1236+580*p^76*q^1238+268*p^107*q^1206+2420*p^105*q^1208+339726 *p^103*q^1210+5858692*p^101*q^1212+113407188*p^99*q^1214+1320841561*p^97*q^1216 +10235081410*p^95*q^1218+38044041386*p^93*q^1220+36045308140*p^91*q^1222+ 10245064491*p^89*q^1224+1514411080*p^87*q^1226+165971307*p^85*q^1228+13816616*p ^83*q^1230+1592594*p^81*q^1232+24072*p^79*q^1234+6814*p^77*q^1236+16*p^108*q^ 1204+4064*p^106*q^1206+20764*p^104*q^1208+1537000*p^102*q^1210+25059940*p^100*q ^1212+379563542*p^98*q^1214+3694805670*p^96*q^1216+22009821808*p^94*q^1218+ 45070100032*p^92*q^1220+22567077710*p^90*q^1222+4415289932*p^88*q^1224+ 552109302*p^86*q^1226+55960255*p^84*q^1228+3581298*p^82*q^1230+309654*p^80*q^ 1232+772*p^78*q^1234+920*p^76*q^1236+36*p^107*q^1204+4048*p^105*q^1206+251250*p ^103*q^1208+5401724*p^101*q^1210+98752030*p^99*q^1212+1177574550*p^97*q^1214+ 9439521725*p^95*q^1216+37021362900*p^93*q^1218+38499070468*p^91*q^1220+ 11408805398*p^89*q^1222+1736287722*p^87*q^1224+191107066*p^85*q^1226+16581070*p ^83*q^1228+1621666*p^81*q^1230+48988*p^79*q^1232+1510*p^77*q^1234+44*p^75*q^ 1236+2792*p^106*q^1204+18550*p^104*q^1206+1357681*p^102*q^1208+21141056*p^100*q ^1210+336425130*p^98*q^1212+3307398218*p^96*q^1214+20758083862*p^94*q^1216+ 45519468122*p^92*q^1218+24821257946*p^90*q^1220+5015858036*p^88*q^1222+ 644050341*p^86*q^1224+65513060*p^84*q^1226+4279544*p^82*q^1228+509992*p^80*q^ 1230+2584*p^78*q^1232+2866*p^76*q^1234+220*p^107*q^1202+11634*p^105*q^1204+ 165620*p^103*q^1206+4993154*p^101*q^1208+84480132*p^99*q^1210+1041054476*p^97*q ^1212+8552956574*p^95*q^1214+36130222069*p^93*q^1216+40578946312*p^91*q^1218+ 12884745101*p^89*q^1220+1990197382*p^87*q^1222+224363164*p^85*q^1224+20501640*p ^83*q^1226+1632842*p^81*q^1228+71968*p^79*q^1230+18*p^77*q^1232+44*p^75*q^1234+ 892*p^106*q^1202+10728*p^104*q^1204+1051242*p^102*q^1206+17229447*p^100*q^1208+ 290214102*p^98*q^1210+2982903851*p^96*q^1212+19282800384*p^94*q^1214+ 46487784627*p^92*q^1216+27012783672*p^90*q^1218+5706005093*p^88*q^1220+ 740007204*p^86*q^1222+74896285*p^84*q^1224+4982682*p^82*q^1226+638552*p^80*q^ 1228+5172*p^78*q^1230+1112*p^76*q^1232+28*p^107*q^1200+15220*p^105*q^1202+ 119125*p^103*q^1204+4559112*p^101*q^1206+73193172*p^99*q^1208+925977270*p^97*q^ 1210+7845919110*p^95*q^1212+34804671952*p^93*q^1214+42959703066*p^91*q^1216+ 14287353108*p^89*q^1218+2285903870*p^87*q^1220+258351030*p^85*q^1222+24551038*p ^83*q^1224+1557560*p^81*q^1226+106140*p^79*q^1228+180*p^77*q^1230+614*p^75*q^ 1232+1372*p^106*q^1200+21448*p^104*q^1202+857184*p^102*q^1204+15491882*p^100*q^ 1206+255826178*p^98*q^1208+2665023988*p^96*q^1210+18027501115*p^94*q^1212+ 46456741614*p^92*q^1214+29534192611*p^90*q^1216+6458047646*p^88*q^1218+ 857876183*p^86*q^1220+87455338*p^84*q^1222+6550111*p^82*q^1224+778704*p^80*q^ 1226+14400*p^78*q^1228+8400*p^105*q^1200+77936*p^103*q^1202+3836199*p^101*q^ 1204+60455698*p^99*q^1206+815197748*p^97*q^1208+7076672544*p^95*q^1210+ 33621349990*p^93*q^1212+44866723404*p^91*q^1214+16050334882*p^89*q^1216+ 2613327780*p^87*q^1218+302892566*p^85*q^1220+29025690*p^83*q^1222+1541634*p^81* q^1224+171632*p^79*q^1226+228*p^77*q^1228+594*p^75*q^1230+700*p^106*q^1198+ 44790*p^104*q^1200+620726*p^102*q^1202+13785753*p^100*q^1204+222835962*p^98*q^ 1206+2398151759*p^96*q^1208+16648756152*p^94*q^1210+46871203636*p^92*q^1212+ 31893458008*p^90*q^1214+7335829280*p^88*q^1216+980911728*p^86*q^1218+100733796* p^84*q^1220+8065758*p^82*q^1222+787372*p^80*q^1224+16672*p^78*q^1226+6*p^76*q^ 1228+52*p^74*q^1230+6944*p^105*q^1198+52160*p^103*q^1200+3294822*p^101*q^1202+ 51317825*p^99*q^1204+716827328*p^97*q^1206+6446796375*p^95*q^1208+32073476280*p ^93*q^1210+47017493940*p^91*q^1212+17736364636*p^89*q^1214+2997303571*p^87*q^ 1216+351073002*p^85*q^1218+33645560*p^83*q^1220+1804204*p^81*q^1222+252550*p^79 *q^1224+1692*p^77*q^1226+96*p^106*q^1196+42776*p^104*q^1198+482708*p^102*q^1200 +12379534*p^100*q^1202+195098830*p^98*q^1204+2138705150*p^96*q^1206+15502216185 *p^94*q^1208+46402532750*p^92*q^1210+34598556645*p^90*q^1212+8258139066*p^88*q^ 1214+1132852339*p^86*q^1216+116660682*p^84*q^1218+10129516*p^82*q^1220+687130*p ^80*q^1222+30682*p^78*q^1224+184*p^74*q^1228+6012*p^105*q^1196+89894*p^103*q^ 1198+2682721*p^101*q^1200+44048416*p^99*q^1202+631965892*p^97*q^1204+5796911884 *p^95*q^1206+30647460062*p^93*q^1208+48599057464*p^91*q^1210+19772286149*p^89*q ^1212+3423201116*p^87*q^1214+410971669*p^85*q^1216+39449676*p^83*q^1218+2308314 *p^81*q^1220+354734*p^79*q^1222+2994*p^77*q^1224+52*p^106*q^1194+33664*p^104*q^ 1196+294788*p^102*q^1198+10761022*p^100*q^1200+165441874*p^98*q^1202+1905536452 *p^96*q^1204+14182125054*p^94*q^1206+46375795623*p^92*q^1208+37097276902*p^90*q ^1210+9372247156*p^88*q^1212+1298057896*p^86*q^1214+135919638*p^84*q^1216+ 12116738*p^82*q^1218+631096*p^80*q^1220+48316*p^78*q^1222+64*p^76*q^1224+2028*p ^105*q^1194+124500*p^103*q^1196+2141710*p^101*q^1198+38146322*p^99*q^1200+ 558001412*p^97*q^1202+5280383059*p^95*q^1204+28994148462*p^93*q^1206+ 50454527268*p^91*q^1208+21742470230*p^89*q^1210+3896776701*p^87*q^1212+ 467892000*p^85*q^1214+44574086*p^83*q^1216+2915954*p^81*q^1218+333282*p^79*q^ 1220+3286*p^77*q^1222+30*p^73*q^1226+4*p^106*q^1192+30638*p^104*q^1194+264226*p ^102*q^1196+9573610*p^100*q^1198+144500613*p^98*q^1200+1695413580*p^96*q^1202+ 13098818625*p^94*q^1204+45350958184*p^92*q^1206+39933815164*p^90*q^1208+ 10498607884*p^88*q^1210+1503951689*p^86*q^1212+161627894*p^84*q^1214+14936184*p ^82*q^1216+634798*p^80*q^1218+108294*p^78*q^1220+488*p^76*q^1222+1188*p^105*q^ 1192+126684*p^103*q^1194+1629954*p^101*q^1196+33339566*p^99*q^1198+488765455*p^ 97*q^1200+4717373322*p^95*q^1202+27505710830*p^93*q^1204+51557587310*p^91*q^ 1206+24123845717*p^89*q^1208+4451269478*p^87*q^1210+544794744*p^85*q^1212+ 51097284*p^83*q^1214+3789566*p^81*q^1216+350752*p^79*q^1218+5084*p^77*q^1220+4* p^106*q^1190+17948*p^104*q^1192+276538*p^102*q^1194+7854055*p^100*q^1196+ 121350586*p^98*q^1198+1504892087*p^96*q^1200+11948728426*p^94*q^1202+ 44796579043*p^92*q^1204+42459938838*p^90*q^1206+11866230625*p^88*q^1208+ 1712968960*p^86*q^1210+187284041*p^84*q^1212+17212312*p^82*q^1214+711954*p^80*q ^1216+116888*p^78*q^1218+164*p^76*q^1220+2*p^72*q^1224+172*p^105*q^1190+119350* p^103*q^1192+1225242*p^101*q^1194+29876281*p^99*q^1196+429932528*p^97*q^1198+ 4286264808*p^95*q^1200+25770348332*p^93*q^1202+53061957446*p^91*q^1204+ 26302876062*p^89*q^1206+5063257051*p^87*q^1208+622524698*p^85*q^1210+59382883*p ^83*q^1212+4774564*p^81*q^1214+275892*p^79*q^1216+20728*p^77*q^1218+36*p^75*q^ 1220+2*p^108*q^1186+12432*p^104*q^1190+342004*p^102*q^1192+6713186*p^100*q^1194 +105173426*p^98*q^1196+1331940574*p^96*q^1198+10961907927*p^94*q^1200+ 43417136682*p^92*q^1202+45257241911*p^90*q^1204+13262015704*p^88*q^1206+ 1982666638*p^86*q^1208+219679694*p^84*q^1210+19890040*p^82*q^1212+993414*p^80*q ^1214+158090*p^78*q^1216+252*p^76*q^1218+152*p^105*q^1188+91590*p^103*q^1190+ 959636*p^101*q^1192+25837416*p^99*q^1194+374392748*p^97*q^1196+3817154220*p^95* q^1198+24245939747*p^93*q^1200+53656937704*p^91*q^1202+29056032812*p^89*q^1204+ 5746618060*p^87*q^1206+721350889*p^85*q^1208+69688348*p^83*q^1210+6111882*p^81* q^1212+200386*p^79*q^1214+28764*p^77*q^1216+8*p^108*q^1184+4308*p^104*q^1188+ 361044*p^102*q^1190+5282264*p^100*q^1192+91110808*p^98*q^1194+1182094680*p^96*q ^1196+9947623266*p^94*q^1198+42420508963*p^92*q^1200+47691598456*p^90*q^1202+ 14892364935*p^88*q^1204+2257456580*p^86*q^1206+254010271*p^84*q^1208+22302612*p ^82*q^1210+1241678*p^80*q^1212+169774*p^78*q^1214+2100*p^76*q^1216+24*p^107*q^ 1184+68*p^105*q^1186+75172*p^103*q^1188+890718*p^101*q^1190+22428090*p^99*q^ 1192+323353344*p^97*q^1194+3440789414*p^95*q^1196+22538171866*p^93*q^1198+ 54590885650*p^91*q^1200+31529049302*p^89*q^1202+6541656749*p^87*q^1204+ 828163016*p^85*q^1206+82253928*p^83*q^1208+7332212*p^81*q^1210+227338*p^79*q^ 1212+40022*p^77*q^1214+1808*p^104*q^1186+329262*p^102*q^1188+4242358*p^100*q^ 1190+80348206*p^98*q^1192+1046841902*p^96*q^1194+9101304878*p^94*q^1196+ 40731817604*p^92*q^1198+50401196415*p^90*q^1200+16542983558*p^88*q^1202+ 2596160364*p^86*q^1204+291508056*p^84*q^1206+25343084*p^82*q^1208+1730056*p^80* q^1210+111510*p^78*q^1212+5596*p^76*q^1214+114*p^107*q^1182+4*p^105*q^1184+ 45620*p^103*q^1186+956221*p^101*q^1188+19197594*p^99*q^1190+279894404*p^97*q^ 1192+3058976224*p^95*q^1194+21022547117*p^93*q^1196+54594725532*p^91*q^1198+ 34496245719*p^89*q^1200+7411692774*p^87*q^1202+961371531*p^85*q^1204+98857478*p ^83*q^1206+8767406*p^81*q^1208+280210*p^79*q^1210+74676*p^77*q^1212+80*p^75*q^ 1214+110*p^106*q^1182+1612*p^104*q^1184+296734*p^102*q^1186+3298788*p^100*q^ 1188+68985916*p^98*q^1190+923848042*p^96*q^1192+8204597028*p^94*q^1194+ 39403731699*p^92*q^1196+52649258678*p^90*q^1198+18538728282*p^88*q^1200+ 2955030802*p^86*q^1202+336394734*p^84*q^1204+28632524*p^82*q^1206+2259098*p^80* q^1208+71904*p^78*q^1210+4748*p^76*q^1212+6*p^107*q^1180+18388*p^103*q^1184+ 909418*p^101*q^1186+16039899*p^99*q^1188+243801404*p^97*q^1190+2747350878*p^95* q^1192+19426086074*p^93*q^1194+55001771739*p^91*q^1196+37154568914*p^89*q^1198+ 8387598802*p^87*q^1200+1096622538*p^85*q^1202+114356119*p^83*q^1204+9734356*p^ 81*q^1206+369814*p^79*q^1208+66272*p^77*q^1210+740*p^75*q^1212+698*p^106*q^1180 +296*p^104*q^1182+257452*p^102*q^1184+3008082*p^100*q^1186+61205550*p^98*q^1188 +811379038*p^96*q^1190+7483374459*p^94*q^1192+37435707742*p^92*q^1194+ 55078865028*p^90*q^1196+20502671292*p^88*q^1198+3394659531*p^86*q^1200+ 388831682*p^84*q^1202+34776650*p^82*q^1204+3017544*p^80*q^1206+63000*p^78*q^ 1208+18922*p^76*q^1210+16*p^107*q^1178+244*p^105*q^1180+16788*p^103*q^1182+ 888392*p^101*q^1184+13075750*p^99*q^1186+211415990*p^97*q^1188+2433364934*p^95* q^1190+17986544518*p^93*q^1192+54387406566*p^91*q^1194+40403758891*p^89*q^1196+ 9463912914*p^87*q^1198+1274486684*p^85*q^1200+133930088*p^83*q^1202+10826478*p^ 81*q^1204+545156*p^79*q^1206+49670*p^77*q^1208+176*p^75*q^1210+258*p^106*q^1178 +136*p^104*q^1180+142074*p^102*q^1182+2561274*p^100*q^1184+52390784*p^98*q^1186 +709190996*p^96*q^1188+6714727676*p^94*q^1190+35905217467*p^92*q^1192+ 56929526818*p^90*q^1194+22834448751*p^88*q^1196+3859857790*p^86*q^1198+ 446499904*p^84*q^1200+40937830*p^82*q^1202+3548188*p^80*q^1204+59636*p^78*q^ 1206+24736*p^76*q^1208+44*p^74*q^1210+2322*p^105*q^1178+6600*p^103*q^1180+ 903846*p^101*q^1182+11049180*p^99*q^1184+184749648*p^97*q^1186+2187439882*p^95* q^1188+16521701638*p^93*q^1190+54242004424*p^91*q^1192+43147885786*p^89*q^1194+ 10688682785*p^87*q^1196+1451903590*p^85*q^1198+153958570*p^83*q^1200+11874614*p ^81*q^1202+805280*p^79*q^1204+22004*p^77*q^1206+2482*p^75*q^1208+220*p^106*q^ 1176+352*p^104*q^1178+110148*p^102*q^1180+2405816*p^100*q^1182+45254136*p^98*q^ 1184+622416712*p^96*q^1186+6079293296*p^94*q^1188+33789213946*p^92*q^1190+ 59013529145*p^90*q^1192+25107700494*p^88*q^1194+4426157721*p^86*q^1196+ 516385342*p^84*q^1198+50258000*p^82*q^1200+4299564*p^80*q^1202+103614*p^78*q^ 1204+29044*p^76*q^1206+2394*p^105*q^1176+2720*p^103*q^1178+700812*p^101*q^1180+ 9117912*p^99*q^1182+160140023*p^97*q^1184+1923820742*p^95*q^1186+15210904882*p^ 93*q^1188+53093999578*p^91*q^1190+46544861571*p^89*q^1192+12004343558*p^87*q^ 1194+1677536044*p^85*q^1196+177940226*p^83*q^1198+13526354*p^81*q^1200+1058322* p^79*q^1202+9086*p^77*q^1204+5516*p^75*q^1206+30*p^106*q^1174+4450*p^104*q^1176 +69368*p^102*q^1178+2398952*p^100*q^1180+38226532*p^98*q^1182+545124197*p^96*q^ 1184+5451975172*p^94*q^1186+32094268611*p^92*q^1188+60348848976*p^90*q^1190+ 27825988958*p^88*q^1192+5013489196*p^86*q^1194+597201748*p^84*q^1196+58454224*p ^82*q^1198+4723350*p^80*q^1200+157154*p^78*q^1202+16728*p^76*q^1204+118*p^74*q^ 1206+1536*p^105*q^1174+1480*p^103*q^1176+535908*p^101*q^1178+7652892*p^99*q^ 1180+139906458*p^97*q^1182+1714918561*p^95*q^1184+13874209796*p^93*q^1186+ 52326433463*p^91*q^1188+49355966490*p^89*q^1190+13527147875*p^87*q^1192+ 1914478986*p^85*q^1194+203782014*p^83*q^1196+16427448*p^81*q^1198+1371608*p^79* q^1200+14338*p^77*q^1202+9080*p^75*q^1204+9860*p^104*q^1174+32672*p^102*q^1176+ 2317612*p^100*q^1178+32723275*p^98*q^1180+475862028*p^96*q^1182+4926219848*p^94 *q^1184+30005297884*p^92*q^1186+61922996154*p^90*q^1188+30385532044*p^88*q^1190 +5724800248*p^86*q^1192+688226220*p^84*q^1194+68908768*p^82*q^1196+4905706*p^80 *q^1198+251806*p^78*q^1200+2810*p^76*q^1202+764*p^74*q^1204+886*p^105*q^1172+ 6112*p^103*q^1174+423230*p^101*q^1176+6726504*p^99*q^1178+121665276*p^97*q^1180 +1508768790*p^95*q^1182+12703577737*p^93*q^1184+50690479658*p^91*q^1186+ 52665839837*p^89*q^1188+15135761364*p^87*q^1190+2214573052*p^85*q^1192+ 234741018*p^83*q^1194+20370141*p^81*q^1196+1830398*p^79*q^1198+23456*p^77*q^ 1200+11086*p^75*q^1202+4*p^106*q^1170+7730*p^104*q^1172+17930*p^102*q^1174+ 1970620*p^100*q^1176+27185392*p^98*q^1178+413152041*p^96*q^1180+4383443428*p^94 *q^1182+28233840326*p^92*q^1184+62691035876*p^90*q^1186+33498963471*p^88*q^1188 +6480514372*p^86*q^1190+793662835*p^84*q^1192+79991852*p^82*q^1194+5206465*p^80 *q^1196+316316*p^78*q^1198+1140*p^76*q^1200+1284*p^74*q^1202+44*p^105*q^1170+ 21568*p^103*q^1172+255176*p^101*q^1174+6280417*p^99*q^1176+104948622*p^97*q^ 1178+1343882667*p^95*q^1180+11536891588*p^93*q^1182+49550252593*p^91*q^1184+ 55391871954*p^89*q^1186+16947273473*p^87*q^1188+2511696956*p^85*q^1190+ 270626103*p^83*q^1192+23940224*p^81*q^1194+1998352*p^79*q^1196+43060*p^77*q^ 1198+2294*p^75*q^1200+52*p^73*q^1202+7620*p^104*q^1170+17184*p^102*q^1172+ 1737930*p^100*q^1174+23254393*p^98*q^1176+364641958*p^96*q^1178+3941417196*p^94 *q^1180+26180822084*p^92*q^1182+63603612677*p^90*q^1184+36334847836*p^88*q^1186 +7385604334*p^86*q^1188+918064570*p^84*q^1190+92187909*p^82*q^1192+6410762*p^80 *q^1194+521782*p^78*q^1196+3102*p^76*q^1198+4182*p^74*q^1200+100*p^105*q^1168+ 26294*p^103*q^1170+165902*p^101*q^1172+5834746*p^99*q^1174+90110457*p^97*q^1176 +1171374886*p^95*q^1178+10516909757*p^93*q^1180+47419449968*p^91*q^1182+ 58680200479*p^89*q^1184+18899015316*p^87*q^1186+2896063644*p^85*q^1188+ 313005914*p^83*q^1190+29725694*p^81*q^1192+2080458*p^79*q^1194+60904*p^77*q^ 1196+32*p^75*q^1198+56*p^73*q^1200+1912*p^104*q^1168+32604*p^102*q^1170+1304668 *p^100*q^1172+19124738*p^98*q^1174+315516047*p^96*q^1176+3502963578*p^94*q^1178 +24448628415*p^92*q^1180+63723517648*p^90*q^1182+39749539434*p^88*q^1184+ 8321955630*p^86*q^1186+1055623764*p^84*q^1188+104373706*p^82*q^1190+7282008*p^ 80*q^1192+666924*p^78*q^1194+4240*p^76*q^1196+1794*p^74*q^1198+8*p^105*q^1166+ 32936*p^103*q^1168+105718*p^101*q^1170+5426638*p^99*q^1172+78322378*p^97*q^1174 +1041945884*p^95*q^1176+9504773492*p^93*q^1178+45918359693*p^91*q^1180+ 61003889386*p^89*q^1182+21113907868*p^87*q^1184+3289098876*p^85*q^1186+ 362555819*p^83*q^1188+34750262*p^81*q^1190+2163190*p^79*q^1192+98386*p^77*q^ 1194+332*p^75*q^1196+798*p^73*q^1198+1246*p^104*q^1166+57112*p^102*q^1168+ 986856*p^100*q^1170+17174620*p^98*q^1172+274879280*p^96*q^1174+3138521724*p^94* q^1176+22511522704*p^92*q^1178+63985992014*p^90*q^1180+42826938332*p^88*q^1182+ 9457053886*p^86*q^1184+1215170176*p^84*q^1186+120813761*p^82*q^1188+9503648*p^ 80*q^1190+851537*p^78*q^1192+10348*p^76*q^1194+19884*p^103*q^1166+90802*p^101*q ^1168+4709754*p^99*q^1170+65718135*p^97*q^1172+908548008*p^95*q^1174+8609971372 *p^93*q^1176+43588834966*p^91*q^1178+64018254529*p^89*q^1180+23376829742*p^87*q ^1182+3781823079*p^85*q^1184+419898176*p^83*q^1186+40690776*p^81*q^1188+2227870 *p^79*q^1190+155312*p^77*q^1192+172*p^75*q^1194+862*p^73*q^1196+418*p^104*q^ 1164+84510*p^102*q^1166+660168*p^100*q^1168+15270218*p^98*q^1170+239882675*p^96 *q^1172+2775691860*p^94*q^1174+20897491265*p^92*q^1176+63371266274*p^90*q^1178+ 46512461957*p^88*q^1180+10625844958*p^86*q^1182+1396237525*p^84*q^1184+ 137440534*p^82*q^1186+11683997*p^80*q^1188+892102*p^78*q^1190+13292*p^76*q^1192 +18*p^74*q^1194+60*p^72*q^1196+10230*p^103*q^1164+109520*p^101*q^1166+3992244*p ^99*q^1168+56061316*p^97*q^1170+799174265*p^95*q^1172+7746283172*p^93*q^1174+ 41725820255*p^91*q^1176+66039062066*p^89*q^1178+25991828855*p^87*q^1180+ 4290392862*p^85*q^1182+488115516*p^83*q^1184+46436456*p^81*q^1186+2584724*p^79* q^1188+240320*p^77*q^1190+1136*p^75*q^1192+44*p^104*q^1162+90512*p^102*q^1164+ 486030*p^100*q^1166+14035581*p^98*q^1168+208996552*p^96*q^1170+2486421756*p^94* q^1172+19133586692*p^92*q^1174+63025535863*p^90*q^1176+49688828172*p^88*q^1178+ 12035393975*p^86*q^1180+1596174990*p^84*q^1182+159338546*p^82*q^1184+14382092*p ^80*q^1186+873742*p^78*q^1188+24388*p^76*q^1190+236*p^72*q^1194+4*p^105*q^1160+ 6670*p^103*q^1162+151446*p^101*q^1164+3170580*p^99*q^1166+47736949*p^97*q^1168+ 698327390*p^95*q^1170+6982527115*p^93*q^1172+39238306072*p^91*q^1174+ 68457989370*p^89*q^1176+28647953322*p^87*q^1178+4919803755*p^85*q^1180+ 567074904*p^83*q^1182+53521541*p^81*q^1184+3403732*p^79*q^1186+336774*p^77*q^ 1188+1836*p^75*q^1190+44*p^104*q^1160+59814*p^102*q^1162+388810*p^100*q^1164+ 12395434*p^98*q^1166+179789641*p^96*q^1168+2182455894*p^94*q^1170+17633379591*p ^92*q^1172+61789548138*p^90*q^1174+53575993695*p^88*q^1176+13488388816*p^86*q^ 1178+1837555793*p^84*q^1180+183419772*p^82*q^1182+17075702*p^80*q^1184+796364*p ^78*q^1186+40566*p^76*q^1188+48*p^74*q^1190+1278*p^103*q^1160+224020*p^101*q^ 1162+2354436*p^99*q^1164+41388070*p^97*q^1166+613252041*p^95*q^1168+6273986254* p^93*q^1170+37274745422*p^91*q^1172+69897945596*p^89*q^1174+31643680827*p^87*q^ 1176+5558062928*p^85*q^1178+649348854*p^83*q^1180+59720874*p^81*q^1182+4209545* p^79*q^1184+348424*p^77*q^1186+2308*p^75*q^1188+34*p^71*q^1192+60*p^104*q^1158+ 49182*p^102*q^1160+351128*p^100*q^1162+11221018*p^98*q^1164+155995640*p^96*q^ 1166+1949990173*p^94*q^1168+16031339868*p^92*q^1170+60769870011*p^90*q^1172+ 56792527170*p^88*q^1174+15215343253*p^86*q^1176+2105975414*p^84*q^1178+ 218098110*p^82*q^1180+20522140*p^80*q^1182+918751*p^78*q^1184+89408*p^76*q^1186 +248*p^74*q^1188+4*p^107*q^1154+1040*p^103*q^1158+215710*p^101*q^1160+1865290*p ^99*q^1162+36607434*p^97*q^1164+533188238*p^95*q^1166+5626342819*p^93*q^1168+ 34769447510*p^91*q^1170+71781831032*p^89*q^1172+34648899150*p^87*q^1174+ 6365667492*p^85*q^1176+749330562*p^83*q^1178+68017632*p^81*q^1180+5474258*p^79* q^1182+363534*p^77*q^1184+3816*p^75*q^1186+8*p^104*q^1156+18860*p^102*q^1158+ 405386*p^100*q^1160+9047766*p^98*q^1162+131636577*p^96*q^1164+1706921426*p^94*q ^1166+14702308446*p^92*q^1168+58892756464*p^90*q^1170+60706741521*p^88*q^1172+ 17002736360*p^86*q^1174+2415640415*p^84*q^1176+250706664*p^82*q^1178+23289597*p ^80*q^1180+1033192*p^78*q^1182+101016*p^76*q^1184+104*p^74*q^1186+2*p^70*q^1190 +490*p^103*q^1156+210502*p^101*q^1158+1477032*p^99*q^1160+32991064*p^97*q^1162+ 471656789*p^95*q^1164+5032758586*p^93*q^1166+32770416357*p^91*q^1168+ 72524280700*p^89*q^1170+38052002944*p^87*q^1172+7167154604*p^85*q^1174+ 859090610*p^83*q^1176+78182098*p^81*q^1178+6764148*p^79*q^1180+317746*p^77*q^ 1182+14928*p^75*q^1184+16*p^73*q^1186+52*p^106*q^1152+12190*p^102*q^1156+497762 *p^100*q^1158+7567520*p^98*q^1160+113974654*p^96*q^1162+1510858012*p^94*q^1164+ 13297298018*p^92*q^1166+57385877994*p^90*q^1168+63677759530*p^88*q^1170+ 19116628404*p^86*q^1172+2769343976*p^84*q^1174+296306917*p^82*q^1176+26256328*p ^80*q^1178+1466232*p^78*q^1180+141022*p^76*q^1182+160*p^74*q^1184+364*p^103*q^ 1154+138294*p^101*q^1156+1148758*p^99*q^1158+28942143*p^97*q^1160+407097804*p^ 95*q^1162+4504448083*p^93*q^1164+30316590770*p^91*q^1166+73727277154*p^89*q^ 1168+41421792048*p^87*q^1170+8182415567*p^85*q^1172+987096744*p^83*q^1174+ 90948086*p^81*q^1176+8507022*p^79*q^1178+274172*p^77*q^1180+20756*p^75*q^1182+ 12*p^106*q^1150+5524*p^102*q^1154+568666*p^100*q^1156+6200034*p^98*q^1158+ 98570974*p^96*q^1160+1325169418*p^94*q^1162+12122507878*p^92*q^1164+55072138328 *p^90*q^1166+67483844498*p^88*q^1168+21202657686*p^86*q^1170+3166697024*p^84*q^ 1172+339403360*p^82*q^1174+29316188*p^80*q^1176+1805720*p^78*q^1178+150194*p^76 *q^1180+1328*p^74*q^1182+264*p^105*q^1150+36*p^103*q^1152+86512*p^101*q^1154+ 1101966*p^99*q^1156+24940446*p^97*q^1158+354250667*p^95*q^1160+4006200528*p^93* q^1162+28322927666*p^91*q^1164+73697292994*p^89*q^1166+45239674430*p^87*q^1168+ 9225324684*p^85*q^1170+1140133975*p^83*q^1172+106793828*p^81*q^1174+9948410*p^ 79*q^1176+326382*p^77*q^1178+31432*p^75*q^1180+3972*p^102*q^1152+544730*p^100*q ^1154+4945670*p^98*q^1156+87130236*p^96*q^1158+1173375043*p^94*q^1160+ 10928415298*p^92*q^1162+53129661788*p^90*q^1164+70183295064*p^88*q^1166+ 23728403175*p^86*q^1168+3600483598*p^84*q^1170+390689138*p^82*q^1172+32579768*p ^80*q^1174+2500962*p^78*q^1176+117142*p^76*q^1178+3356*p^74*q^1180+248*p^105*q^ 1148+44*p^103*q^1150+54828*p^101*q^1152+1212598*p^99*q^1154+21656028*p^97*q^ 1156+304198192*p^95*q^1158+3573397220*p^93*q^1160+26035004698*p^91*q^1162+ 74002338897*p^89*q^1164+48831369424*p^87*q^1166+10504640726*p^85*q^1168+ 1313797722*p^83*q^1170+128905962*p^81*q^1172+11611260*p^79*q^1174+423360*p^77*q ^1176+54960*p^75*q^1178+48*p^73*q^1180+664*p^104*q^1148+1348*p^102*q^1150+ 412774*p^100*q^1152+3823002*p^98*q^1154+75178282*p^96*q^1156+1025427242*p^94*q^ 1158+9897850764*p^92*q^1160+50508956656*p^90*q^1162+73642887820*p^88*q^1164+ 26269111916*p^86*q^1166+4123764545*p^84*q^1168+447560210*p^82*q^1170+36253124*p ^80*q^1172+3224632*p^78*q^1174+82988*p^76*q^1176+3264*p^74*q^1178+12*p^105*q^ 1146+4*p^103*q^1148+28916*p^101*q^1150+1332390*p^99*q^1152+18365826*p^97*q^1154 +265773405*p^95*q^1156+3160210136*p^93*q^1158+24200356215*p^91*q^1160+ 73281317358*p^89*q^1162+52878264760*p^87*q^1164+11769076548*p^85*q^1166+ 1505499997*p^83*q^1168+147835436*p^81*q^1170+12704769*p^79*q^1172+538886*p^77*q ^1174+54247*p^75*q^1176+356*p^73*q^1178+1676*p^104*q^1146+954*p^102*q^1148+ 330154*p^100*q^1150+3414302*p^98*q^1152+66569034*p^96*q^1154+902949664*p^94*q^ 1156+8905497412*p^92*q^1158+48234164940*p^90*q^1160+75824966778*p^88*q^1162+ 29226548346*p^86*q^1164+4695168306*p^84*q^1166+521082403*p^82*q^1168+43745290*p ^80*q^1170+4146586*p^78*q^1172+97206*p^76*q^1174+12028*p^74*q^1176+4*p^105*q^ 1144+900*p^103*q^1146+19398*p^101*q^1148+1289134*p^99*q^1150+15052666*p^97*q^ 1152+229203536*p^95*q^1154+2808571406*p^93*q^1156+22028144446*p^91*q^1158+ 72898409952*p^89*q^1160+56691101716*p^87*q^1162+13360262908*p^85*q^1164+ 1730966494*p^83*q^1166+173319724*p^81*q^1168+13770342*p^79*q^1170+820528*p^77*q ^1172+42384*p^75*q^1174+104*p^73*q^1176+508*p^104*q^1144+236*p^102*q^1146+ 185044*p^100*q^1148+3064908*p^98*q^1150+57702172*p^96*q^1152+782927972*p^94*q^ 1154+8025313188*p^92*q^1156+45486333722*p^90*q^1158+78781392857*p^88*q^1160+ 32170312842*p^86*q^1162+5357204124*p^84*q^1164+594665846*p^82*q^1166+51578464*p ^80*q^1168+4754898*p^78*q^1170+85843*p^76*q^1172+16136*p^74*q^1174+16*p^72*q^ 1176+5128*p^103*q^1144+10248*p^101*q^1146+1233284*p^99*q^1148+12527594*p^97*q^ 1150+200624025*p^95*q^1152+2488511340*p^93*q^1154+20364160921*p^91*q^1156+ 71264820360*p^89*q^1158+60963474297*p^87*q^1160+14931692594*p^85*q^1162+ 1983007190*p^83*q^1164+198513108*p^81*q^1166+14720590*p^79*q^1168+1180012*p^77* q^1170+25722*p^75*q^1172+1376*p^73*q^1174+148*p^104*q^1142+956*p^102*q^1144+ 145692*p^100*q^1146+3091194*p^98*q^1148+50316914*p^96*q^1150+689049713*p^94*q^ 1152+7169270466*p^92*q^1154+43056733518*p^90*q^1156+80296757890*p^88*q^1158+ 35620580763*p^86*q^1160+6089520504*p^84*q^1162+692022062*p^82*q^1164+62423068*p ^80*q^1166+5663310*p^78*q^1168+155662*p^76*q^1170+20780*p^74*q^1172+4680*p^103* q^1142+5358*p^101*q^1144+907508*p^99*q^1146+10256270*p^97*q^1148+173081236*p^95 *q^1150+2195719803*p^93*q^1152+18469847790*p^91*q^1154+70192007039*p^89*q^1156+ 64699704968*p^87*q^1158+16886863609*p^85*q^1160+2269533816*p^83*q^1162+ 230209908*p^81*q^1164+16556306*p^79*q^1166+1496946*p^77*q^1168+14164*p^75*q^ 1170+2812*p^73*q^1172+16*p^104*q^1140+8008*p^102*q^1142+84382*p^100*q^1144+ 3184608*p^98*q^1146+42977291*p^96*q^1148+597123694*p^94*q^1150+6450604234*p^92* q^1152+40225601388*p^90*q^1154+82559053412*p^88*q^1156+38949569210*p^86*q^1158+ 6942840585*p^84*q^1160+793171504*p^82*q^1162+72905902*p^80*q^1164+6021360*p^78* q^1166+248098*p^76*q^1168+12288*p^74*q^1170+56*p^72*q^1172+1840*p^103*q^1140+ 3054*p^101*q^1142+712630*p^99*q^1144+8712476*p^97*q^1146+151980654*p^95*q^1148+ 1934075398*p^93*q^1150+16934284896*p^91*q^1152+67997008488*p^89*q^1154+ 69055227476*p^87*q^1156+18816563760*p^85*q^1158+2600018115*p^83*q^1160+ 263232480*p^81*q^1162+19924966*p^79*q^1164+1873222*p^77*q^1166+19740*p^75*q^ 1168+5496*p^73*q^1170+17108*p^102*q^1140+54676*p^100*q^1142+2985096*p^98*q^1144 +36765354*p^96*q^1146+523669359*p^94*q^1148+5746167386*p^92*q^1150+37799760897* p^90*q^1152+83308176310*p^88*q^1154+42842390468*p^86*q^1156+7844801480*p^84*q^ 1158+919933906*p^82*q^1160+85469040*p^80*q^1162+6012492*p^78*q^1164+383338*p^76 *q^1166+3715*p^74*q^1168+304*p^72*q^1170+732*p^103*q^1138+9600*p^101*q^1140+ 514264*p^99*q^1142+8017472*p^97*q^1144+132189254*p^95*q^1146+1704614368*p^93*q^ 1148+15281704252*p^91*q^1150+66186840596*p^89*q^1152+72618465902*p^87*q^1154+ 21201620662*p^85*q^1156+2979273108*p^83*q^1158+305479486*p^81*q^1160+24304448*p ^79*q^1162+2484924*p^77*q^1164+37770*p^75*q^1166+6394*p^73*q^1168+4*p^104*q^ 1136+12432*p^102*q^1138+27584*p^100*q^1140+2550448*p^98*q^1142+30260654*p^96*q^ 1144+451334240*p^94*q^1146+5132997234*p^92*q^1148+35015283104*p^90*q^1150+ 84736757817*p^88*q^1152+46638784832*p^86*q^1154+8933175014*p^84*q^1156+ 1050342366*p^82*q^1158+99321625*p^80*q^1160+6318764*p^78*q^1162+460484*p^76*q^ 1164+1296*p^74*q^1166+632*p^72*q^1168+32*p^103*q^1136+29636*p^101*q^1138+348284 *p^99*q^1140+7591662*p^97*q^1142+115780378*p^95*q^1144+1501272960*p^93*q^1146+ 13960398018*p^91*q^1148+63568376790*p^89*q^1150+76783186666*p^87*q^1152+ 23476952704*p^85*q^1154+3402972022*p^83*q^1156+350333556*p^81*q^1158+28685732*p ^79*q^1160+2536148*p^77*q^1162+70614*p^75*q^1164+1610*p^73*q^1166+16*p^71*q^ 1168+7840*p^102*q^1136+30302*p^100*q^1138+2178762*p^98*q^1140+25996272*p^96*q^ 1142+397231117*p^94*q^1144+4556148992*p^92*q^1146+32645455021*p^90*q^1148+ 84532437014*p^88*q^1150+50876627338*p^86*q^1152+10103302170*p^84*q^1154+ 1216359880*p^82*q^1156+114816986*p^80*q^1158+7481474*p^78*q^1160+755908*p^76*q^ 1162+4320*p^74*q^1164+1976*p^72*q^1166+140*p^103*q^1134+42504*p^101*q^1136+ 231252*p^99*q^1138+7175306*p^97*q^1140+99241800*p^95*q^1142+1315977542*p^93*q^ 1144+12529628638*p^91*q^1146+61247061216*p^89*q^1148+80074989992*p^87*q^1150+ 26374858297*p^85*q^1152+3877844130*p^83*q^1154+408931762*p^81*q^1156+35128174*p ^79*q^1158+2621436*p^77*q^1160+98604*p^75*q^1162+24*p^73*q^1164+20*p^71*q^1166+ 1828*p^102*q^1134+37158*p^100*q^1136+1617944*p^98*q^1138+21751818*p^96*q^1140+ 341878062*p^94*q^1142+4055005778*p^92*q^1144+30017870894*p^90*q^1146+ 85168680730*p^88*q^1148+54938761802*p^86*q^1150+11438867406*p^84*q^1152+ 1391764386*p^82*q^1154+130388244*p^80*q^1156+8376484*p^78*q^1158+911250*p^76*q^ 1160+7552*p^74*q^1162+824*p^72*q^1164+16*p^103*q^1132+39596*p^101*q^1134+167368 *p^99*q^1136+6693916*p^97*q^1138+86580469*p^95*q^1140+1156594084*p^93*q^1142+ 11393637366*p^91*q^1144+58233414648*p^89*q^1146+83813873612*p^87*q^1148+ 29118929406*p^85*q^1150+4437715167*p^83*q^1152+467641650*p^81*q^1154+41525072*p ^79*q^1156+2601424*p^77*q^1158+152642*p^75*q^1160+324*p^73*q^1162+296*p^71*q^ 1164+1548*p^102*q^1132+76720*p^100*q^1134+1275716*p^98*q^1136+19716570*p^96*q^ 1138+301042515*p^94*q^1140+3585547016*p^92*q^1142+27807204826*p^90*q^1144+ 83998249886*p^88*q^1146+59604875459*p^86*q^1148+12876640900*p^84*q^1150+ 1606025540*p^82*q^1152+151858368*p^80*q^1154+10800918*p^78*q^1156+1118910*p^76* q^1158+18728*p^74*q^1160+21276*p^101*q^1132+129458*p^99*q^1134+5664686*p^97*q^ 1136+72530180*p^95*q^1138+1007403390*p^93*q^1140+10176521554*p^91*q^1142+ 55618501252*p^89*q^1144+86501561840*p^87*q^1146+32486313580*p^85*q^1148+ 5059283916*p^83*q^1150+545149871*p^81*q^1152+48109882*p^79*q^1154+2553182*p^77* q^1156+235470*p^75*q^1158+344*p^73*q^1160+290*p^71*q^1162+680*p^102*q^1130+ 108374*p^100*q^1132+894548*p^98*q^1134+18019378*p^96*q^1136+261383910*p^94*q^ 1138+3191683446*p^92*q^1140+25400623976*p^90*q^1142+83754260869*p^88*q^1144+ 63780902884*p^86*q^1146+14576052840*p^84*q^1148+1825747040*p^82*q^1150+ 173799530*p^80*q^1152+13260716*p^78*q^1154+1154118*p^76*q^1156+22578*p^74*q^ 1158+10*p^72*q^1160+16*p^70*q^1162+10872*p^101*q^1130+125170*p^99*q^1132+ 4897964*p^97*q^1134+61938534*p^95*q^1136+879761032*p^93*q^1138+9175949527*p^91* q^1140+52396401780*p^89*q^1142+89744531248*p^87*q^1144+35693614648*p^85*q^1146+ 5770957280*p^83*q^1148+628989250*p^81*q^1150+55623962*p^79*q^1152+2844026*p^77* q^1154+336380*p^75*q^1156+2180*p^73*q^1158+44*p^102*q^1128+101058*p^100*q^1130+ 713232*p^98*q^1132+16213996*p^96*q^1134+229599315*p^94*q^1136+2816791702*p^92*q ^1138+23423020163*p^90*q^1140+81796959554*p^88*q^1142+68678601487*p^86*q^1144+ 16331352726*p^84*q^1146+2102630616*p^82*q^1148+200479362*p^80*q^1150+16320570*p ^78*q^1152+1055630*p^76*q^1154+42002*p^74*q^1156+54*p^70*q^1160+4*p^103*q^1126+ 8616*p^101*q^1128+191692*p^99*q^1130+3883008*p^97*q^1132+53985964*p^95*q^1134+ 769685495*p^93*q^1136+8175513568*p^91*q^1138+49490594215*p^89*q^1140+ 91613410478*p^87*q^1142+39601773727*p^85*q^1144+6557822290*p^83*q^1146+ 731221964*p^81*q^1148+64394746*p^79*q^1150+3685112*p^77*q^1152+467738*p^75*q^ 1154+3728*p^73*q^1156+2*p^106*q^1122+12*p^102*q^1126+62320*p^100*q^1128+479942* p^98*q^1130+14657762*p^96*q^1132+195217202*p^94*q^1134+2480303686*p^92*q^1136+ 21248251450*p^90*q^1138+80668630257*p^88*q^1140+72976411228*p^86*q^1142+ 18460413991*p^84*q^1144+2400197224*p^82*q^1146+232348490*p^80*q^1148+19177754*p ^78*q^1150+926266*p^76*q^1152+61912*p^74*q^1154+80*p^72*q^1156+2028*p^101*q^ 1126+249324*p^99*q^1128+3152234*p^97*q^1130+46597596*p^95*q^1132+673333200*p^93 *q^1134+7374141938*p^91*q^1136+46315368274*p^89*q^1138+94001288737*p^87*q^1140+ 43244739428*p^85*q^1142+7453911814*p^83*q^1144+830000052*p^81*q^1146+72309092*p ^79*q^1148+4592336*p^77*q^1150+453208*p^75*q^1152+4610*p^73*q^1154+4*p^69*q^ 1158+120*p^102*q^1124+54008*p^100*q^1126+470038*p^98*q^1128+13011192*p^96*q^ 1130+172002173*p^94*q^1132+2186261630*p^92*q^1134+19433411278*p^90*q^1136+ 77995670902*p^88*q^1138+77807979996*p^86*q^1140+20602838950*p^84*q^1142+ 2768126494*p^82*q^1144+274322694*p^80*q^1146+23439670*p^78*q^1148+959022*p^76*q ^1150+135458*p^74*q^1152+604*p^72*q^1154+31*p^105*q^1120+808*p^101*q^1124+ 228156*p^99*q^1126+2380774*p^97*q^1128+41383330*p^95*q^1130+585447460*p^93*q^ 1132+6519604708*p^91*q^1134+43456751665*p^89*q^1136+95003878788*p^87*q^1138+ 47667991627*p^85*q^1140+8470577240*p^83*q^1142+961641193*p^81*q^1144+82836446*p ^79*q^1146+5810962*p^77*q^1148+469660*p^75*q^1150+6446*p^73*q^1152+16*p^102*q^ 1122+25800*p^100*q^1124+464710*p^98*q^1126+10981628*p^96*q^1128+145190938*p^94* q^1130+1923038224*p^92*q^1132+17555154538*p^90*q^1134+76096506693*p^88*q^1136+ 82005594846*p^86*q^1138+23173537496*p^84*q^1140+3141836282*p^82*q^1142+ 316813302*p^80*q^1144+26414660*p^78*q^1146+1089846*p^76*q^1148+143568*p^74*q^ 1150+244*p^72*q^1152+1032*p^101*q^1122+210720*p^99*q^1124+1908786*p^97*q^1126+ 37381268*p^95*q^1128+514007748*p^93*q^1130+5852394831*p^91*q^1132+40278218220*p ^89*q^1134+96604908830*p^87*q^1136+51722720164*p^85*q^1138+9596100937*p^83*q^ 1140+1097692638*p^81*q^1142+95780880*p^79*q^1144+7274296*p^77*q^1146+360494*p^ 75*q^1148+25332*p^73*q^1150+46*p^71*q^1152+198*p^104*q^1118+12564*p^100*q^1122+ 538928*p^98*q^1124+9381038*p^96*q^1126+126367346*p^94*q^1128+1685895708*p^92*q^ 1130+15975989869*p^90*q^1132+72797487928*p^88*q^1134+86645244954*p^86*q^1136+ 25783143688*p^84*q^1138+3626838823*p^82*q^1140+368799932*p^80*q^1142+30283988*p ^78*q^1144+1487984*p^76*q^1146+197422*p^74*q^1148+332*p^72*q^1150+660*p^101*q^ 1120+160452*p^99*q^1122+1504680*p^97*q^1124+32648316*p^95*q^1126+447475282*p^93 *q^1128+5169065388*p^91*q^1130+37506667623*p^89*q^1132+96487097500*p^87*q^1134+ 56713470032*p^85*q^1136+10864919948*p^83*q^1138+1263315124*p^81*q^1140+ 112059730*p^79*q^1142+9156897*p^77*q^1144+284654*p^75*q^1146+33376*p^73*q^1148+ 52*p^104*q^1116+4*p^102*q^1118+7284*p^100*q^1120+554740*p^98*q^1122+7536910*p^ 96*q^1124+109510004*p^94*q^1126+1476988028*p^92*q^1128+14351776080*p^90*q^1130+ 70351915768*p^88*q^1132+90333855946*p^86*q^1134+28850293366*p^84*q^1136+ 4111211518*p^82*q^1138+425764384*p^80*q^1140+33795822*p^78*q^1142+1821328*p^76* q^1144+199298*p^74*q^1146+2536*p^72*q^1148+674*p^103*q^1116+48*p^101*q^1118+ 95828*p^99*q^1120+1315138*p^97*q^1122+29297922*p^95*q^1124+386339598*p^93*q^ 1126+4622683167*p^91*q^1128+34521243730*p^89*q^1130+97105763360*p^87*q^1132+ 61104924300*p^85*q^1134+12332677797*p^83*q^1136+1447606286*p^81*q^1138+ 131212830*p^79*q^1140+10662714*p^77*q^1142+325448*p^75*q^1144+47594*p^73*q^1146 +7196*p^100*q^1118+561632*p^98*q^1120+6252908*p^96*q^1122+96218122*p^94*q^1124+ 1297985642*p^92*q^1126+12988890963*p^90*q^1128+66752970722*p^88*q^1130+ 94612058756*p^86*q^1132+31896843650*p^84*q^1134+4708932154*p^82*q^1136+ 487077954*p^80*q^1138+38453810*p^78*q^1140+2545044*p^76*q^1142+131374*p^74*q^ 1144+6392*p^72*q^1146+632*p^103*q^1114+84*p^101*q^1116+58650*p^99*q^1118+ 1299462*p^97*q^1120+25241750*p^95*q^1122+336081441*p^93*q^1124+4060535228*p^91* q^1126+31928954255*p^89*q^1128+95896110878*p^87*q^1130+66461502723*p^85*q^1132+ 13905489262*p^83*q^1134+1678821289*p^81*q^1136+156647554*p^79*q^1138+12530596*p ^77*q^1140+402520*p^75*q^1142+84464*p^73*q^1144+96*p^71*q^1146+1324*p^102*q^ 1114+2260*p^100*q^1116+443392*p^98*q^1118+4817668*p^96*q^1120+83927446*p^94*q^ 1122+1134087450*p^92*q^1124+11618300012*p^90*q^1126+63773943539*p^88*q^1128+ 97824609580*p^86*q^1130+35573232245*p^84*q^1132+5348210240*p^82*q^1134+ 558430626*p^80*q^1136+43157804*p^78*q^1138+3255352*p^76*q^1140+87660*p^74*q^ 1142+5460*p^72*q^1144+48*p^103*q^1112+8*p^101*q^1114+42184*p^99*q^1116+1310860* p^97*q^1118+21791690*p^95*q^1120+290933954*p^93*q^1122+3610952613*p^91*q^1124+ 29192685962*p^89*q^1126+95585369363*p^87*q^1128+71037409906*p^85*q^1130+ 15717445691*p^83*q^1132+1905434004*p^81*q^1134+181399408*p^79*q^1136+13800310*p ^77*q^1138+514940*p^75*q^1140+69672*p^73*q^1142+856*p^71*q^1144+3075*p^102*q^ 1112+1188*p^100*q^1114+340596*p^98*q^1116+4234234*p^96*q^1118+74979116*p^94*q^ 1120+994636112*p^92*q^1122+10492999379*p^90*q^1124+60015943144*p^88*q^1126+ 101239714440*p^86*q^1128+39170733260*p^84*q^1130+6123983936*p^82*q^1132+ 646302188*p^80*q^1134+52008926*p^78*q^1136+4196052*p^76*q^1138+89816*p^74*q^ 1140+21254*p^72*q^1142+48*p^103*q^1110+1610*p^101*q^1112+29140*p^99*q^1114+ 1334658*p^97*q^1116+17912946*p^95*q^1118+252747528*p^93*q^1120+3165417960*p^91* q^1122+26760633457*p^89*q^1124+93360031356*p^87*q^1126+76695841984*p^85*q^1128+ 17655503520*p^83*q^1130+2204635008*p^81*q^1132+210687986*p^79*q^1134+15326430*p ^77*q^1136+774468*p^75*q^1138+50774*p^73*q^1140+192*p^71*q^1142+952*p^102*q^ 1110+412*p^100*q^1112+213886*p^98*q^1114+3372444*p^96*q^1116+65314018*p^94*q^ 1118+864381708*p^92*q^1120+9328010590*p^90*q^1122+56926956648*p^88*q^1124+ 103682024678*p^86*q^1126+43402465661*p^84*q^1128+6943370808*p^82*q^1130+ 740668487*p^80*q^1132+61198934*p^78*q^1134+4790622*p^76*q^1136+78014*p^74*q^ 1138+25184*p^72*q^1140+52*p^70*q^1142+7736*p^101*q^1110+13368*p^99*q^1112+ 1237622*p^97*q^1114+15467072*p^95*q^1116+220251528*p^93*q^1118+2812202643*p^91* q^1120+24370023034*p^89*q^1122+91981260227*p^87*q^1124+81298897704*p^85*q^1126+ 19884089249*p^83*q^1128+2505571428*p^81*q^1130+241618157*p^79*q^1132+16634436*p ^77*q^1134+1126370*p^75*q^1136+25004*p^73*q^1138+2802*p^71*q^1140+652*p^102*q^ 1108+1924*p^100*q^1110+179900*p^98*q^1112+3288876*p^96*q^1114+57364500*p^94*q^ 1116+755173750*p^92*q^1118+8379439832*p^90*q^1120+52982113594*p^88*q^1122+ 106389814303*p^86*q^1124+47533956532*p^84*q^1126+7943442097*p^82*q^1128+ 854509230*p^80*q^1130+74694874*p^78*q^1132+5741578*p^76*q^1134+135316*p^74*q^ 1136+28044*p^72*q^1138+6080*p^101*q^1108+7448*p^99*q^1110+952900*p^97*q^1112+ 12410346*p^95*q^1114+192066124*p^93*q^1116+2455065702*p^91*q^1118+22223027797*p ^89*q^1120+89029175444*p^87*q^1122+86951483555*p^85*q^1124+22258577862*p^83*q^ 1126+2886569374*p^81*q^1128+278559596*p^79*q^1130+18861780*p^77*q^1132+1413716* p^75*q^1134+12710*p^73*q^1136+5712*p^71*q^1138+112*p^102*q^1106+11409*p^100*q^ 1108+111336*p^98*q^1110+3253294*p^96*q^1112+49500484*p^94*q^1114+658663245*p^92 *q^1116+7425864730*p^90*q^1118+49871760696*p^88*q^1120+107502135006*p^86*q^1122 +52403104683*p^84*q^1124+8980010880*p^82*q^1126+983348897*p^80*q^1128+86518606* p^78*q^1130+6244566*p^76*q^1132+220356*p^74*q^1134+14446*p^72*q^1136+134*p^70*q ^1138+4270*p^101*q^1106+5756*p^99*q^1108+750144*p^97*q^1110+10115306*p^95*q^ 1112+168286732*p^93*q^1114+2167309424*p^91*q^1116+20093574444*p^89*q^1118+ 86841211146*p^87*q^1120+91493629280*p^85*q^1122+25004492141*p^83*q^1124+ 3283713720*p^81*q^1126+320319464*p^79*q^1128+22885280*p^77*q^1130+1758098*p^75* q^1132+15914*p^73*q^1134+8704*p^71*q^1136+18254*p^100*q^1106+69188*p^98*q^1108+ 3070548*p^96*q^1110+43400006*p^94*q^1112+573917142*p^92*q^1114+6645322587*p^90* q^1116+46113334888*p^88*q^1118+109319687286*p^86*q^1120+56880242712*p^84*q^1122 +10223208139*p^82*q^1124+1132130060*p^80*q^1126+101314074*p^78*q^1128+6311640*p ^76*q^1130+341562*p^74*q^1132+3374*p^72*q^1134+828*p^70*q^1136+2028*p^101*q^ 1104+15836*p^99*q^1106+606936*p^97*q^1108+8948578*p^95*q^1110+147069742*p^93*q^ 1112+1892886808*p^91*q^1114+18234274975*p^89*q^1116+83138764550*p^87*q^1118+ 96911373900*p^85*q^1120+27876876374*p^83*q^1122+3790027754*p^81*q^1124+ 367875468*p^79*q^1126+28331310*p^77*q^1128+2348378*p^75*q^1130+30420*p^73*q^ 1132+9248*p^71*q^1134+44*p^102*q^1102+16756*p^100*q^1104+38118*p^98*q^1106+ 2558674*p^96*q^1108+35535718*p^94*q^1110+498191280*p^92*q^1112+5860074112*p^90* q^1114+42948550404*p^88*q^1116+109387031568*p^86*q^1118+62425226986*p^84*q^1120 +11533219468*p^82*q^1122+1299325259*p^80*q^1124+117494632*p^78*q^1126+6726102*p ^76*q^1128+398108*p^74*q^1130+1036*p^72*q^1132+1256*p^70*q^1134+164*p^101*q^ 1102+31037*p^99*q^1104+418452*p^97*q^1106+8205778*p^95*q^1108+129619262*p^93*q^ 1110+1670746934*p^91*q^1112+16413281256*p^89*q^1114+80359401270*p^87*q^1116+ 101027763784*p^85*q^1118+31142548185*p^83*q^1120+4294037456*p^81*q^1122+ 423285056*p^79*q^1124+33131644*p^77*q^1126+2450714*p^75*q^1128+59568*p^73*q^ 1130+1696*p^71*q^1132+60*p^69*q^1134+13914*p^100*q^1102+49246*p^98*q^1104+ 2261790*p^96*q^1106+30379766*p^94*q^1108+436124544*p^92*q^1110+5222901353*p^90* q^1112+39496109000*p^88*q^1114+109800364836*p^86*q^1116+67294915738*p^84*q^1118 +13139543598*p^82*q^1120+1496342422*p^80*q^1122+136054479*p^78*q^1124+8260220*p ^76*q^1126+658374*p^74*q^1128+3150*p^72*q^1130+3614*p^70*q^1132+694*p^101*q^ 1100+39776*p^99*q^1102+270016*p^97*q^1104+7505828*p^95*q^1106+113082998*p^93*q^ 1108+1451957410*p^91*q^1110+14808923134*p^89*q^1112+76151547866*p^87*q^1114+ 106018426508*p^85*q^1116+34608118598*p^83*q^1118+4930311407*p^81*q^1120+ 489978386*p^79*q^1122+40651598*p^77*q^1124+2486998*p^75*q^1126+78110*p^73*q^ 1128+24*p^71*q^1130+56*p^69*q^1132+3688*p^100*q^1100+52012*p^98*q^1102+1824268* p^96*q^1104+24960636*p^94*q^1106+376858240*p^92*q^1108+4586365988*p^90*q^1110+ 36550158065*p^88*q^1112+108872946166*p^86*q^1114+73170153196*p^84*q^1116+ 14749987482*p^82*q^1118+1722329196*p^80*q^1120+153293872*p^78*q^1122+9385310*p^ 76*q^1124+816134*p^74*q^1126+5880*p^72*q^1128+1202*p^70*q^1130+80*p^101*q^1098+ 49694*p^99*q^1100+220076*p^97*q^1102+6775096*p^95*q^1104+98496364*p^93*q^1106+ 1283913418*p^91*q^1108+13276939482*p^89*q^1110+72909409548*p^87*q^1112+ 109392203886*p^85*q^1114+38490273172*p^83*q^1116+5598265116*p^81*q^1118+ 563742319*p^79*q^1120+47852778*p^77*q^1122+2570362*p^75*q^1124+120434*p^73*q^ 1126+236*p^71*q^1128+734*p^69*q^1130+4924*p^100*q^1098+65404*p^98*q^1100+ 1390568*p^96*q^1102+22217846*p^94*q^1104+331335934*p^92*q^1106+4068652941*p^90* q^1108+33313374640*p^88*q^1110+108235784956*p^86*q^1112+78408034866*p^84*q^1114 +16734106060*p^82*q^1116+1973845772*p^80*q^1118+178633904*p^78*q^1120+12166270* p^76*q^1122+978608*p^74*q^1124+14024*p^72*q^1126+27028*p^99*q^1098+197558*p^97* q^1100+5978686*p^95*q^1102+83332448*p^93*q^1104+1110830966*p^91*q^1106+ 11924849520*p^89*q^1108+68492925738*p^87*q^1110+113703152782*p^85*q^1112+ 42494788922*p^83*q^1114+6417262422*p^81*q^1116+652532130*p^79*q^1118+55626039*p ^77*q^1120+2599610*p^75*q^1122+193348*p^73*q^1124+228*p^71*q^1126+616*p^69*q^ 1128+1896*p^100*q^1096+103626*p^98*q^1098+1005887*p^96*q^1100+19371652*p^94*q^ 1102+291506628*p^92*q^1104+3576686102*p^90*q^1106+30630325406*p^88*q^1108+ 105940854588*p^86*q^1110+84628831474*p^84*q^1112+18767807338*p^82*q^1114+ 2260379283*p^80*q^1116+203454560*p^78*q^1118+14913290*p^76*q^1120+1010808*p^74* q^1122+15864*p^72*q^1124+10*p^70*q^1126+60*p^68*q^1128+23244*p^99*q^1096+149130 *p^97*q^1098+5186818*p^95*q^1100+71006732*p^93*q^1102+970508266*p^91*q^1104+ 10611663686*p^89*q^1106+65013937533*p^87*q^1108+116118536572*p^85*q^1110+ 47084011814*p^83*q^1112+7268809176*p^81*q^1114+756779410*p^79*q^1116+63434618*p ^77*q^1118+3071976*p^75*q^1120+275588*p^73*q^1122+1584*p^71*q^1124+276*p^100*q^ 1094+97066*p^98*q^1096+893696*p^96*q^1098+17397656*p^94*q^1100+254960726*p^92*q ^1102+3176238518*p^90*q^1104+27834701756*p^88*q^1106+104283572381*p^86*q^1108+ 89801103804*p^84*q^1110+21211268197*p^82*q^1112+2582992648*p^80*q^1114+ 235408648*p^78*q^1116+18392972*p^76*q^1118+932874*p^74*q^1120+30432*p^72*q^1122 +186*p^68*q^1126+40*p^101*q^1092+17352*p^99*q^1094+176560*p^97*q^1096+4095042*p ^95*q^1098+60819734*p^93*q^1100+845979094*p^91*q^1102+9478830663*p^89*q^1104+ 60461001174*p^87*q^1106+119480006588*p^85*q^1108+51621337050*p^83*q^1110+ 8323449304*p^81*q^1112+874961478*p^79*q^1114+73698365*p^77*q^1116+3985782*p^75* q^1118+378172*p^73*q^1120+2412*p^71*q^1122+218*p^100*q^1092+81202*p^98*q^1094+ 651914*p^96*q^1096+15555066*p^94*q^1098+220488542*p^92*q^1100+2763215890*p^90*q ^1102+25411276904*p^88*q^1104+101186551954*p^86*q^1106+96156866629*p^84*q^1108+ 23719907798*p^82*q^1110+2968706857*p^80*q^1112+270783474*p^78*q^1114+21539740*p ^76*q^1116+853060*p^74*q^1118+46748*p^72*q^1120+60*p^70*q^1122+4670*p^99*q^1092 +209234*p^97*q^1094+3431713*p^95*q^1096+52031314*p^93*q^1098+743597564*p^91*q^ 1100+8438368316*p^89*q^1102+56887691048*p^87*q^1104+120718160008*p^85*q^1106+ 56883615530*p^83*q^1108+9381368520*p^81*q^1110+998768514*p^79*q^1112+82779480*p ^77*q^1114+5014270*p^75*q^1116+360530*p^73*q^1118+2780*p^71*q^1120+30*p^67*q^ 1124+512*p^100*q^1090+84646*p^98*q^1092+538948*p^96*q^1094+13713262*p^94*q^1096 +192634360*p^92*q^1098+2447407470*p^90*q^1100+22901908518*p^88*q^1102+ 98534840241*p^86*q^1104+101243110810*p^84*q^1106+26696157249*p^82*q^1108+ 3397249062*p^80*q^1110+322205612*p^78*q^1112+25780086*p^76*q^1114+975980*p^74*q ^1116+101432*p^72*q^1118+360*p^70*q^1120+3750*p^99*q^1090+206434*p^97*q^1092+ 2813876*p^95*q^1094+45890142*p^93*q^1096+645888744*p^91*q^1098+7496771356*p^89* q^1100+52600732262*p^87*q^1102+122751764768*p^85*q^1104+61985986268*p^83*q^1106 +10738545127*p^81*q^1108+1149930082*p^79*q^1110+94439998*p^77*q^1112+6462450*p^ 75*q^1114+361708*p^73*q^1116+4336*p^71*q^1118+76*p^100*q^1088+39248*p^98*q^1090 +454284*p^96*q^1092+11423760*p^94*q^1094+163071660*p^92*q^1096+2128758398*p^90* q^1098+20807373750*p^88*q^1100+94520044602*p^86*q^1102+107463626308*p^84*q^1104 +29744036574*p^82*q^1106+3885740934*p^80*q^1108+368788604*p^78*q^1110+29454520* p^76*q^1112+1106778*p^74*q^1114+107324*p^72*q^1116+112*p^70*q^1118+2*p^66*q^ 1122+3100*p^99*q^1088+253714*p^97*q^1090+2275630*p^95*q^1092+40731222*p^93*q^ 1094+571837219*p^91*q^1096+6649419436*p^89*q^1098+49083289305*p^87*q^1100+ 122942128092*p^85*q^1102+67733477345*p^83*q^1104+12081020128*p^81*q^1106+ 1318101388*p^79*q^1108+109413612*p^77*q^1110+7839902*p^75*q^1112+310290*p^73*q^ 1114+17040*p^71*q^1116+24*p^69*q^1118+30113*p^98*q^1088+453784*p^96*q^1090+ 10053356*p^94*q^1092+141167050*p^92*q^1094+1874293482*p^90*q^1096+18658142358*p ^88*q^1098+91162667289*p^86*q^1100+111919495822*p^84*q^1102+33386282827*p^82*q^ 1104+4447466458*p^80*q^1106+432383145*p^78*q^1108+33534734*p^76*q^1110+1620086* p^74*q^1112+134808*p^72*q^1114+180*p^70*q^1116+1808*p^99*q^1086+188372*p^97*q^ 1088+1736660*p^95*q^1090+35103440*p^93*q^1092+494247172*p^91*q^1094+5894886354* p^89*q^1096+45008263088*p^87*q^1098+123753454578*p^85*q^1100+73454107274*p^83*q ^1102+13762713693*p^81*q^1104+1511035722*p^79*q^1106+128083302*p^77*q^1108+ 9750500*p^75*q^1110+247780*p^73*q^1112+23708*p^71*q^1114+4*p^100*q^1084+17092*p ^98*q^1086+543292*p^96*q^1088+8353320*p^94*q^1090+122965440*p^92*q^1092+ 1633290608*p^90*q^1094+16853712757*p^88*q^1096+86601927722*p^86*q^1098+ 117642082960*p^84*q^1100+36947680358*p^82*q^1102+5082447699*p^80*q^1104+ 494457794*p^78*q^1106+37526982*p^76*q^1108+1965580*p^74*q^1110+144212*p^72*q^ 1112+1508*p^70*q^1114+320*p^99*q^1084+146776*p^97*q^1086+1350250*p^95*q^1088+ 30891844*p^93*q^1090+429954462*p^91*q^1092+5196726078*p^89*q^1094+41725603182*p ^87*q^1096+122428842922*p^85*q^1098+79817010408*p^83*q^1100+15499173396*p^81*q^ 1102+1742392959*p^79*q^1104+149621884*p^77*q^1106+11464592*p^75*q^1108+330182*p ^73*q^1110+29120*p^71*q^1112+14554*p^98*q^1084+559060*p^96*q^1086+7073096*p^94* q^1088+106902666*p^92*q^1090+1441903251*p^90*q^1092+15060432980*p^88*q^1094+ 82798166958*p^86*q^1096+121411333958*p^84*q^1098+41223647917*p^82*q^1100+ 5780573896*p^80*q^1102+567918457*p^78*q^1104+42689080*p^76*q^1106+2646788*p^74* q^1108+95446*p^72*q^1110+4076*p^70*q^1112+236*p^99*q^1082+99885*p^97*q^1084+ 1303416*p^95*q^1086+26963621*p^93*q^1088+372296854*p^91*q^1090+4594680436*p^89* q^1092+37975853748*p^87*q^1094+121967531564*p^85*q^1096+85630315714*p^83*q^1098 +17627992267*p^81*q^1100+2002826768*p^79*q^1102+179627208*p^77*q^1104+13367046* p^75*q^1106+430958*p^73*q^1108+52776*p^71*q^1110+48*p^69*q^1112+40*p^100*q^1080 +6404*p^98*q^1082+493752*p^96*q^1084+5336932*p^94*q^1086+92027144*p^92*q^1088+ 1251658802*p^90*q^1090+13513312119*p^88*q^1092+77921510012*p^86*q^1094+ 126472094051*p^84*q^1096+45503463940*p^82*q^1098+6606759754*p^80*q^1100+ 649870522*p^78*q^1102+48153402*p^76*q^1104+3337810*p^74*q^1106+69942*p^72*q^ 1108+3000*p^70*q^1110+16*p^99*q^1080+70456*p^97*q^1082+1274588*p^95*q^1084+ 23525076*p^93*q^1086+325583002*p^91*q^1088+4038178536*p^89*q^1090+34965423698*p ^87*q^1092+119505589966*p^85*q^1094+92384181480*p^83*q^1096+19716147724*p^81*q^ 1098+2293328796*p^79*q^1100+204956658*p^77*q^1102+14808842*p^75*q^1104+540838*p ^73*q^1106+45680*p^71*q^1108+468*p^69*q^1110+3448*p^98*q^1080+437142*p^96*q^ 1082+4593004*p^94*q^1084+81038194*p^92*q^1086+1102365970*p^90*q^1088+ 12053902764*p^88*q^1090+73754774523*p^86*q^1092+129081942826*p^84*q^1094+ 50520240767*p^82*q^1096+7518180178*p^80*q^1098+754619565*p^78*q^1100+58576508*p ^76*q^1102+4322062*p^74*q^1104+90712*p^72*q^1106+11312*p^70*q^1108+518*p^99*q^ 1078+53108*p^97*q^1080+1278160*p^95*q^1082+19594206*p^93*q^1084+280347718*p^91* q^1086+3556179478*p^89*q^1088+31601098262*p^87*q^1090+117641476542*p^85*q^1092+ 98456785530*p^83*q^1094+22368216912*p^81*q^1096+2630634984*p^79*q^1098+ 239289850*p^77*q^1100+16333724*p^75*q^1102+779016*p^73*q^1104+30708*p^71*q^1106 +104*p^69*q^1108+1180*p^98*q^1078+284958*p^96*q^1080+3670932*p^94*q^1082+ 70811536*p^92*q^1084+953399492*p^90*q^1086+10769717383*p^88*q^1088+68914956744* p^86*q^1090+133040623624*p^84*q^1092+55397725074*p^82*q^1094+8579580785*p^80*q^ 1096+860958566*p^78*q^1098+68580912*p^76*q^1100+4928406*p^74*q^1102+82512*p^72* q^1104+14644*p^70*q^1106+24*p^68*q^1108+72*p^99*q^1076+29640*p^97*q^1078+ 1326729*p^95*q^1080+16610046*p^93*q^1082+243906112*p^91*q^1084+3127957950*p^89* q^1086+28934479711*p^87*q^1088+114081996204*p^85*q^1090+105154976304*p^83*q^ 1092+24966877174*p^81*q^1094+3016570928*p^79*q^1096+272574602*p^77*q^1098+ 18172778*p^75*q^1100+1103526*p^73*q^1102+21320*p^71*q^1104+1212*p^69*q^1106+ 3056*p^98*q^1076+256792*p^96*q^1078+3309262*p^94*q^1080+61958970*p^92*q^1082+ 841175318*p^90*q^1084+9534204660*p^88*q^1086+64660658381*p^86*q^1088+ 134524324722*p^84*q^1090+61152504266*p^82*q^1092+9741286052*p^80*q^1094+ 997994001*p^78*q^1096+83053310*p^76*q^1098+5842820*p^74*q^1100+144996*p^72*q^ 1102+14782*p^70*q^1104+16716*p^97*q^1076+1025412*p^95*q^1078+13721632*p^93*q^ 1080+211062706*p^91*q^1082+2741308340*p^89*q^1084+26019106286*p^87*q^1086+ 111287346784*p^85*q^1088+111049480178*p^83*q^1090+28168590740*p^81*q^1092+ 3450823652*p^79*q^1094+316292056*p^77*q^1096+20782548*p^75*q^1098+1404816*p^73* q^1100+12252*p^71*q^1102+2816*p^69*q^1104+1800*p^98*q^1074+179108*p^96*q^1076+ 3323300*p^94*q^1078+53243628*p^92*q^1080+726531066*p^90*q^1082+8498144066*p^88* q^1084+59830775432*p^86*q^1086+137147013022*p^84*q^1088+66688634048*p^82*q^1090 +11093373854*p^80*q^1092+1142117218*p^78*q^1094+95944642*p^76*q^1096+6353204*p^ 74*q^1098+207174*p^72*q^1100+9248*p^70*q^1102+44*p^68*q^1104+4*p^99*q^1072+ 13964*p^97*q^1074+892632*p^95*q^1076+10955772*p^93*q^1078+185519896*p^91*q^1080 +2403793788*p^89*q^1082+23661834817*p^87*q^1084+106739293948*p^85*q^1086+ 117813151682*p^83*q^1088+31350495352*p^81*q^1090+3952372088*p^79*q^1092+ 361500758*p^77*q^1094+25367154*p^75*q^1096+1723904*p^73*q^1098+19740*p^71*q^ 1100+3876*p^69*q^1102+176*p^98*q^1072+118084*p^96*q^1074+3091548*p^94*q^1076+ 46620568*p^92*q^1078+635840582*p^90*q^1080+7510948372*p^88*q^1082+55759580174*p ^86*q^1084+137083604934*p^84*q^1086+73072390965*p^82*q^1088+12542623586*p^80*q^ 1090+1323644411*p^78*q^1092+111537040*p^76*q^1094+6645994*p^74*q^1096+323766*p^ 72*q^1098+2874*p^70*q^1100+320*p^68*q^1102+20*p^99*q^1070+16308*p^97*q^1072+ 760496*p^95*q^1074+9551711*p^93*q^1076+159940374*p^91*q^1078+2112480795*p^89*q^ 1080+21171800924*p^87*q^1082+103053220791*p^85*q^1084+123034255616*p^83*q^1086+ 35282511783*p^81*q^1088+4526288076*p^79*q^1090+417156423*p^77*q^1092+31215144*p ^75*q^1094+2251444*p^73*q^1096+30828*p^71*q^1098+4700*p^69*q^1100+200*p^98*q^ 1070+75649*p^96*q^1072+2672636*p^94*q^1074+38679577*p^92*q^1076+549484212*p^90* q^1078+6646913673*p^88*q^1080+51194382790*p^86*q^1082+138372526882*p^84*q^1084+ 79153714848*p^82*q^1086+14270009026*p^80*q^1088+1509815000*p^78*q^1090+ 129722077*p^76*q^1092+7133434*p^74*q^1094+383184*p^72*q^1096+1542*p^70*q^1098+ 444*p^68*q^1100+4*p^99*q^1068+4034*p^97*q^1070+561824*p^95*q^1072+8634636*p^93* q^1074+140899360*p^91*q^1076+1844781956*p^89*q^1078+19163834393*p^87*q^1080+ 98019766724*p^85*q^1082+129335897862*p^83*q^1084+39012207888*p^81*q^1086+ 5168906487*p^79*q^1088+478499176*p^77*q^1090+36149798*p^75*q^1092+2378660*p^73* q^1094+52282*p^71*q^1096+1292*p^69*q^1098+16*p^67*q^1100+236*p^98*q^1068+86738* p^96*q^1070+2450820*p^94*q^1072+32714508*p^92*q^1074+482198116*p^90*q^1076+ 5864778298*p^88*q^1078+47354681784*p^86*q^1080+136808496534*p^84*q^1082+ 86129239613*p^82*q^1084+16105329418*p^80*q^1086+1752749269*p^78*q^1088+ 148911244*p^76*q^1090+9109752*p^74*q^1092+607770*p^72*q^1094+4258*p^70*q^1096+ 1404*p^68*q^1098+60*p^99*q^1066+3336*p^97*q^1068+403722*p^95*q^1070+7786090*p^ 93*q^1072+122145996*p^91*q^1074+1614848496*p^89*q^1076+17047197994*p^87*q^1078+ 93559065028*p^85*q^1080+133890280384*p^83*q^1082+43731860001*p^81*q^1084+ 5897893760*p^79*q^1086+555058354*p^77*q^1088+44171624*p^75*q^1090+2415512*p^73* q^1092+74570*p^71*q^1094+44*p^69*q^1096+16*p^67*q^1098+80*p^98*q^1066+42942*p^ 96*q^1068+2023372*p^94*q^1070+27004157*p^92*q^1072+414424434*p^90*q^1074+ 5173521287*p^88*q^1076+43193756374*p^86*q^1078+136667922773*p^84*q^1080+ 92581251524*p^82*q^1082+18250219868*p^80*q^1084+1999685132*p^78*q^1086+ 169406956*p^76*q^1088+10262806*p^74*q^1090+740014*p^72*q^1092+4742*p^70*q^1094+ 720*p^68*q^1096+4*p^99*q^1064+1692*p^97*q^1066+359628*p^95*q^1068+7082488*p^93* q^1070+106956381*p^91*q^1072+1414463858*p^89*q^1074+15367333918*p^87*q^1076+ 88225949852*p^85*q^1078+139151663955*p^83*q^1080+48180433106*p^81*q^1082+ 6742001763*p^79*q^1084+637207512*p^77*q^1086+51508245*p^75*q^1088+2609232*p^73* q^1090+110306*p^71*q^1092+468*p^69*q^1094+192*p^67*q^1096+812*p^98*q^1064+29858 *p^96*q^1066+1672697*p^94*q^1068+23775658*p^92*q^1070+364135989*p^90*q^1072+ 4545539436*p^88*q^1074+39634855416*p^86*q^1076+133697454960*p^84*q^1078+ 99979591397*p^82*q^1080+20535319638*p^80*q^1082+2311352966*p^78*q^1084+ 195953838*p^76*q^1086+13324690*p^74*q^1088+896196*p^72*q^1090+12952*p^70*q^1092 +1200*p^97*q^1064+268840*p^95*q^1066+6157818*p^93*q^1068+89436180*p^91*q^1070+ 1231916646*p^89*q^1072+13614063580*p^87*q^1074+83549044578*p^85*q^1076+ 142652576400*p^83*q^1078+53636728287*p^81*q^1080+7677082136*p^79*q^1082+ 740568058*p^77*q^1084+59546634*p^75*q^1086+2787228*p^73*q^1088+164996*p^71*q^ 1090+168*p^69*q^1092+268*p^67*q^1094+176*p^98*q^1062+15614*p^96*q^1064+1347226* p^94*q^1066+20912272*p^92*q^1068+317834964*p^90*q^1070+4012811682*p^88*q^1072+ 35919526202*p^86*q^1074+132024797443*p^84*q^1076+106596728974*p^82*q^1078+ 23216186564*p^80*q^1080+2631372374*p^78*q^1082+223799886*p^76*q^1084+16133448*p ^74*q^1086+893242*p^72*q^1088+14992*p^70*q^1090+26*p^68*q^1092+8*p^66*q^1094+ 4672*p^97*q^1062+180396*p^95*q^1064+5451286*p^93*q^1066+76591153*p^91*q^1068+ 1068552800*p^89*q^1070+12185045258*p^87*q^1072+77988528550*p^85*q^1074+ 146965572860*p^83*q^1076+58812872900*p^81*q^1078+8766839159*p^79*q^1080+ 854129942*p^77*q^1082+68310598*p^75*q^1084+3355082*p^73*q^1086+244060*p^71*q^ 1088+1392*p^69*q^1090+40*p^98*q^1060+9938*p^96*q^1062+1173038*p^94*q^1064+ 18397376*p^92*q^1066+278733198*p^90*q^1068+3525508958*p^88*q^1070+32839970973*p ^86*q^1072+127860027766*p^84*q^1074+114119560323*p^82*q^1076+26020636208*p^80*q ^1078+3026581145*p^78*q^1080+258135820*p^76*q^1082+19522714*p^74*q^1084+873450* p^72*q^1086+24958*p^70*q^1088+52*p^66*q^1092+4*p^99*q^1058+2996*p^97*q^1060+ 126558*p^95*q^1062+4610142*p^93*q^1064+65653942*p^91*q^1066+936236174*p^89*q^ 1068+10753201412*p^87*q^1070+73147393070*p^85*q^1072+148779906578*p^83*q^1074+ 65112959655*p^81*q^1076+9961641194*p^79*q^1078+995042658*p^77*q^1080+78717274*p ^75*q^1082+4483829*p^73*q^1084+317228*p^71*q^1086+2308*p^69*q^1088+12*p^98*q^ 1058+18108*p^96*q^1060+851774*p^94*q^1062+16061685*p^92*q^1064+238205010*p^90*q ^1066+3085074105*p^88*q^1068+29541140090*p^86*q^1070+125131969355*p^84*q^1072+ 120611333086*p^82*q^1074+29360316870*p^80*q^1076+3456537018*p^78*q^1078+ 298060358*p^76*q^1080+22737616*p^74*q^1082+834342*p^72*q^1084+39690*p^70*q^1086 +48*p^68*q^1088+812*p^97*q^1058+66042*p^95*q^1060+4029416*p^93*q^1062+56704204* p^91*q^1064+816728250*p^89*q^1066+9613522180*p^87*q^1068+67820857390*p^85*q^ 1070+151746464710*p^83*q^1072+70890930308*p^81*q^1074+11324592723*p^79*q^1076+ 1129617508*p^77*q^1078+88486928*p^75*q^1080+5433190*p^73*q^1082+293218*p^71*q^ 1084+2354*p^69*q^1086+4*p^65*q^1090+60*p^98*q^1056+21292*p^96*q^1058+699860*p^ 94*q^1060+14384164*p^92*q^1062+208801360*p^90*q^1064+2707504578*p^88*q^1066+ 26803433450*p^86*q^1068+119872067890*p^84*q^1070+128092362644*p^82*q^1072+ 32733819482*p^80*q^1074+3989705545*p^78*q^1076+352701562*p^76*q^1078+27343126*p ^74*q^1080+1099272*p^72*q^1082+85170*p^70*q^1084+344*p^68*q^1086+436*p^97*q^ 1056+75930*p^95*q^1058+3303582*p^93*q^1060+48962658*p^91*q^1062+711141057*p^89* q^1064+8446440712*p^87*q^1066+63068335878*p^85*q^1068+152060138732*p^83*q^1070+ 77988389811*p^81*q^1072+12863275736*p^79*q^1074+1307338188*p^77*q^1076+ 100718952*p^75*q^1078+6884574*p^73*q^1080+284930*p^71*q^1082+3448*p^69*q^1084+8 *p^98*q^1054+9430*p^96*q^1056+410366*p^94*q^1058+12332704*p^92*q^1060+176149506 *p^90*q^1062+2369380414*p^88*q^1064+24011261360*p^86*q^1066+115967280030*p^84*q ^1068+134156233290*p^82*q^1070+36822848767*p^80*q^1072+4526882768*p^78*q^1074+ 406518192*p^76*q^1076+30787122*p^74*q^1078+1279192*p^72*q^1080+81490*p^70*q^ 1082+112*p^68*q^1084+436*p^97*q^1054+86240*p^95*q^1056+2831464*p^93*q^1058+ 43230120*p^91*q^1060+623824120*p^89*q^1062+7525728136*p^87*q^1064+58055118978*p ^85*q^1066+153382627517*p^83*q^1068+84339974638*p^81*q^1070+14594180389*p^79*q^ 1072+1493831372*p^77*q^1074+116649003*p^75*q^1076+8286076*p^73*q^1078+281506*p^ 71*q^1080+14286*p^69*q^1082+24*p^67*q^1084+6296*p^96*q^1054+359686*p^94*q^1056+ 10844274*p^92*q^1058+153808004*p^90*q^1060+2066847500*p^88*q^1062+21658212082*p ^86*q^1064+110112443298*p^84*q^1066+140906807577*p^82*q^1068+40920329096*p^80*q ^1070+5228324672*p^78*q^1072+473814708*p^76*q^1074+35024769*p^74*q^1076+1803108 *p^72*q^1078+97956*p^70*q^1080+140*p^68*q^1082+292*p^97*q^1052+66004*p^95*q^ 1054+2061933*p^93*q^1056+37408514*p^91*q^1058+540586948*p^89*q^1060+6594361426* p^87*q^1062+53623075056*p^85*q^1064+152135386670*p^83*q^1066+92134830732*p^81*q ^1068+16507486332*p^79*q^1070+1723752596*p^77*q^1072+135833716*p^75*q^1074+ 10285064*p^73*q^1076+288830*p^71*q^1078+17662*p^69*q^1080+28*p^98*q^1050+3052*p ^96*q^1052+309544*p^94*q^1054+9402780*p^92*q^1056+131664272*p^90*q^1058+ 1811141828*p^88*q^1060+19301972730*p^86*q^1062+105474569723*p^84*q^1064+ 146159505812*p^82*q^1066+45707431392*p^80*q^1068+5934319744*p^78*q^1070+ 545181826*p^76*q^1072+39121816*p^74*q^1074+2124244*p^72*q^1076+95996*p^70*q^ 1078+1228*p^68*q^1080+60*p^97*q^1050+48660*p^95*q^1052+1595314*p^93*q^1054+ 32739069*p^91*q^1056+468165042*p^89*q^1058+5847498084*p^87*q^1060+48916345022*p ^85*q^1062+151976472545*p^83*q^1064+99021658326*p^81*q^1066+18730941269*p^79*q^ 1068+1975067202*p^77*q^1070+159806340*p^75*q^1072+11873504*p^73*q^1074+388634*p ^71*q^1076+21420*p^69*q^1078+3148*p^96*q^1050+286946*p^94*q^1052+7963176*p^92*q ^1054+115677044*p^90*q^1056+1583688066*p^88*q^1058+17345129052*p^86*q^1060+ 99247019660*p^84*q^1062+152140451678*p^82*q^1064+50519108266*p^80*q^1066+ 6800624568*p^78*q^1068+625174454*p^76*q^1070+44139559*p^74*q^1072+2833834*p^72* q^1074+83488*p^70*q^1076+3060*p^68*q^1078+406*p^97*q^1048+27856*p^95*q^1050+ 1326264*p^93*q^1052+28694372*p^91*q^1054+405283208*p^89*q^1056+5115420328*p^87* q^1058+44873243121*p^85*q^1060+148766416888*p^83*q^1062+107314823205*p^81*q^ 1064+21131877802*p^79*q^1066+2288969025*p^77*q^1068+190276298*p^75*q^1070+ 13898541*p^73*q^1072+504536*p^71*q^1074+31662*p^69*q^1076+40*p^67*q^1078+4*p^98 *q^1046+1372*p^96*q^1048+251198*p^94*q^1050+6209873*p^92*q^1052+98754228*p^90*q ^1054+1383848210*p^88*q^1056+15372207780*p^86*q^1058+94185077973*p^84*q^1060+ 156201629020*p^82*q^1062+56265402320*p^80*q^1064+7723395648*p^78*q^1066+ 717931061*p^76*q^1068+49657818*p^74*q^1070+3576968*p^72*q^1072+75420*p^70*q^ 1074+2280*p^68*q^1076+48*p^97*q^1046+20024*p^95*q^1048+1018414*p^93*q^1050+ 25297137*p^91*q^1052+351132952*p^89*q^1054+4514860708*p^87*q^1056+40732210122*p ^85*q^1058+147180577411*p^83*q^1060+114193004774*p^81*q^1062+23887660786*p^79*q ^1064+2605676930*p^77*q^1066+219263678*p^75*q^1068+15135350*p^73*q^1070+590840* p^71*q^1072+28678*p^69*q^1074+344*p^67*q^1076+2694*p^96*q^1046+192355*p^94*q^ 1048+5449280*p^92*q^1050+87025645*p^90*q^1052+1207120900*p^88*q^1054+ 13782934423*p^86*q^1056+87842798146*p^84*q^1058+160909634128*p^82*q^1060+ 61825425730*p^80*q^1062+8853655340*p^78*q^1064+831252072*p^76*q^1066+60203561*p ^74*q^1068+4550348*p^72*q^1070+116386*p^70*q^1072+7064*p^68*q^1074+80*p^97*q^ 1044+15220*p^95*q^1046+974606*p^93*q^1048+21177676*p^91*q^1050+304921332*p^89*q ^1052+3941033460*p^87*q^1054+37028529850*p^85*q^1056+142687395780*p^83*q^1058+ 122831004637*p^81*q^1060+26826584756*p^79*q^1062+3016891199*p^77*q^1064+ 254294084*p^75*q^1066+16653668*p^73*q^1068+870788*p^71*q^1070+22902*p^69*q^1072 +72*p^67*q^1074+10*p^98*q^1042+1188*p^96*q^1044+116026*p^94*q^1046+3957934*p^92 *q^1048+75389876*p^90*q^1050+1046462278*p^88*q^1052+12150618120*p^86*q^1054+ 82643757566*p^84*q^1056+163500525444*p^82*q^1058+68451269811*p^80*q^1060+ 10035581926*p^78*q^1062+953722383*p^76*q^1064+70637764*p^74*q^1066+5121970*p^72 *q^1068+97182*p^70*q^1070+7376*p^68*q^1072+16*p^66*q^1074+16*p^97*q^1042+13406* p^95*q^1044+875514*p^93*q^1046+18719638*p^91*q^1048+263750784*p^89*q^1050+ 3486481367*p^87*q^1052+33461703044*p^85*q^1054+139527005597*p^83*q^1056+ 129704968198*p^81*q^1058+30224421338*p^79*q^1060+3430729440*p^77*q^1062+ 292232000*p^75*q^1064+18153042*p^73*q^1066+1231893*p^71*q^1068+24274*p^69*q^ 1070+888*p^67*q^1072+6*p^98*q^1040+720*p^96*q^1042+103024*p^94*q^1044+3430954*p ^92*q^1046+65788468*p^90*q^1048+914841940*p^88*q^1050+10824717134*p^86*q^1052+ 76394221844*p^84*q^1054+166634592722*p^82*q^1056+74783855380*p^80*q^1058+ 11492863944*p^78*q^1060+1104753412*p^76*q^1062+85609963*p^74*q^1064+6045412*p^ 72*q^1066+162232*p^70*q^1068+9372*p^68*q^1070+110*p^97*q^1040+11052*p^95*q^1042 +633108*p^93*q^1044+15238876*p^91*q^1046+228754477*p^89*q^1048+3026848492*p^87* q^1050+30274669389*p^85*q^1052+134007688266*p^83*q^1054+138104425895*p^81*q^ 1056+33823692748*p^79*q^1058+3954723384*p^77*q^1060+336615144*p^75*q^1062+ 20712484*p^73*q^1064+1516414*p^71*q^1066+17226*p^69*q^1068+1180*p^67*q^1070+16* p^98*q^1038+512*p^96*q^1040+72764*p^94*q^1042+3061118*p^92*q^1044+57240038*p^90 *q^1046+795116501*p^88*q^1048+9533789312*p^86*q^1050+71266728091*p^84*q^1052+ 167445237618*p^82*q^1054+82231635118*p^80*q^1056+12998359812*p^78*q^1058+ 1271741306*p^76*q^1060+98799466*p^74*q^1062+6484158*p^72*q^1064+253388*p^70*q^ 1066+5766*p^68*q^1068+44*p^66*q^1070+90*p^97*q^1038+5362*p^95*q^1040+511824*p^ 93*q^1042+12318124*p^91*q^1044+198138658*p^89*q^1046+2664088731*p^87*q^1048+ 27152403788*p^85*q^1050+129706428666*p^83*q^1052+144641867100*p^81*q^1054+ 37996963632*p^79*q^1056+4503032212*p^77*q^1058+387705078*p^75*q^1060+25271372*p ^73*q^1062+1841472*p^71*q^1064+21196*p^69*q^1066+2412*p^67*q^1068+502*p^96*q^ 1038+64218*p^94*q^1040+2638794*p^92*q^1042+50493960*p^90*q^1044+691067654*p^88* q^1046+8474695271*p^86*q^1048+65415628570*p^84*q^1050+169012097035*p^82*q^1052+ 89182529206*p^80*q^1054+14809988404*p^78*q^1056+1465958466*p^76*q^1058+ 115594010*p^74*q^1060+6500636*p^72*q^1062+378516*p^70*q^1064+3986*p^68*q^1066+ 128*p^66*q^1068+216*p^97*q^1036+5908*p^95*q^1038+397926*p^93*q^1040+10466414*p^ 91*q^1042+172503770*p^89*q^1044+2317299262*p^87*q^1046+24441990930*p^85*q^1048+ 123195916720*p^83*q^1050+152464121987*p^81*q^1052+42351998742*p^79*q^1054+ 5199600538*p^77*q^1056+447618222*p^75*q^1058+30916324*p^73*q^1060+2444522*p^71* q^1062+38368*p^69*q^1064+2138*p^67*q^1066+4*p^98*q^1034+698*p^96*q^1036+38254*p ^94*q^1038+2145838*p^92*q^1040+41958992*p^90*q^1042+598141270*p^88*q^1044+ 7417813934*p^86*q^1046+60542466053*p^84*q^1048+167854174872*p^82*q^1050+ 97573078875*p^80*q^1052+16727705440*p^78*q^1054+1685173026*p^76*q^1056+ 132964012*p^74*q^1058+7012538*p^72*q^1060+432014*p^70*q^1062+1540*p^68*q^1064+ 280*p^66*q^1066+36*p^97*q^1034+2360*p^95*q^1036+313060*p^93*q^1038+8887650*p^91 *q^1040+150989392*p^89*q^1042+2037637176*p^87*q^1044+21833910742*p^85*q^1046+ 118240929088*p^83*q^1048+158071941712*p^81*q^1050+47273450042*p^79*q^1052+ 5899215614*p^77*q^1054+515917432*p^75*q^1056+36228244*p^73*q^1058+2437432*p^71* q^1060+69512*p^69*q^1062+822*p^67*q^1064+8*p^65*q^1066+1314*p^96*q^1034+38238*p ^94*q^1036+1809328*p^92*q^1038+36301788*p^90*q^1040+520833690*p^88*q^1042+ 6574079457*p^86*q^1044+55187246816*p^84*q^1046+167671084495*p^82*q^1048+ 104846877842*p^80*q^1050+19074075887*p^78*q^1052+1943704028*p^76*q^1054+ 154744015*p^74*q^1056+8638004*p^72*q^1058+707126*p^70*q^1060+4434*p^68*q^1062+ 660*p^66*q^1064+96*p^97*q^1032+3332*p^95*q^1034+233708*p^93*q^1036+7750186*p^91 *q^1038+130909800*p^89*q^1040+1767066968*p^87*q^1042+19538520772*p^85*q^1044+ 111190086436*p^83*q^1046+165148190233*p^81*q^1048+52493728350*p^79*q^1050+ 6776855855*p^77*q^1052+598710228*p^75*q^1054+43924532*p^73*q^1056+2458358*p^71* q^1058+92914*p^69*q^1060+32*p^67*q^1062+8*p^65*q^1064+752*p^96*q^1032+20190*p^ 94*q^1034+1394684*p^92*q^1036+29408720*p^90*q^1038+450533373*p^88*q^1040+ 5739463112*p^86*q^1042+50659005943*p^84*q^1044+164871707742*p^82*q^1046+ 113858506717*p^80*q^1048+21402599796*p^78*q^1050+2236644335*p^76*q^1052+ 174733272*p^74*q^1054+9892342*p^72*q^1056+831154*p^70*q^1058+7472*p^68*q^1060+ 140*p^66*q^1062+12*p^97*q^1030+5166*p^95*q^1032+189568*p^93*q^1034+6707266*p^91 *q^1036+115123386*p^89*q^1038+1552585850*p^87*q^1040+17398716070*p^85*q^1042+ 105653411539*p^83*q^1044+169421156892*p^81*q^1046+58387128111*p^79*q^1048+ 7707836968*p^77*q^1050+691062822*p^75*q^1052+51327424*p^73*q^1054+2518034*p^71* q^1056+137952*p^69*q^1058+360*p^67*q^1060+112*p^65*q^1062+920*p^96*q^1030+14766 *p^94*q^1032+1164732*p^92*q^1034+25655987*p^90*q^1036+391941726*p^88*q^1038+ 5074128767*p^86*q^1040+45869142730*p^84*q^1042+162698915944*p^82*q^1044+ 121528208164*p^80*q^1046+24328596789*p^78*q^1048+2565492692*p^76*q^1050+ 204130198*p^74*q^1052+12810612*p^72*q^1054+978142*p^70*q^1056+18052*p^68*q^1058 +5536*p^95*q^1030+142100*p^93*q^1032+5528988*p^91*q^1034+97333679*p^89*q^1036+ 1340601312*p^87*q^1038+15497426736*p^85*q^1040+98605723800*p^83*q^1042+ 175121485950*p^81*q^1044+64384320256*p^79*q^1046+8848126253*p^77*q^1048+ 800720698*p^75*q^1050+59430344*p^73*q^1052+2583522*p^71*q^1054+211248*p^69*q^ 1056+344*p^67*q^1058+22*p^65*q^1060+342*p^96*q^1028+17710*p^94*q^1030+874993*p^ 92*q^1032+21991050*p^90*q^1034+342838075*p^88*q^1036+4431068102*p^86*q^1038+ 41850046208*p^84*q^1040+158287585142*p^82*q^1042+130642131116*p^80*q^1044+ 27290429192*p^78*q^1046+2943867566*p^76*q^1048+233363028*p^74*q^1050+15487503*p ^72*q^1052+975688*p^70*q^1054+20524*p^68*q^1056+14*p^66*q^1058+8*p^64*q^1060+ 5612*p^95*q^1028+86366*p^93*q^1030+4691916*p^91*q^1032+82958796*p^89*q^1034+ 1171496944*p^87*q^1036+13692231516*p^85*q^1038+92854529462*p^83*q^1040+ 177971467572*p^81*q^1042+71247430725*p^79*q^1044+10030698830*p^77*q^1046+ 929235101*p^75*q^1048+67853944*p^73*q^1050+3116674*p^71*q^1052+286888*p^69*q^ 1054+2112*p^67*q^1056+60*p^96*q^1026+22180*p^94*q^1028+735220*p^92*q^1030+ 19082662*p^90*q^1032+299837508*p^88*q^1034+3909753871*p^86*q^1036+37731494276*p ^84*q^1038+154765983353*p^82*q^1040+138280787916*p^80*q^1042+30840448714*p^78*q ^1044+3369821982*p^76*q^1046+271789672*p^74*q^1048+18853016*p^72*q^1050+865856* p^70*q^1052+37762*p^68*q^1054+2*p^64*q^1058+4*p^97*q^1024+4086*p^95*q^1026+ 77582*p^93*q^1028+3767484*p^91*q^1030+71093330*p^89*q^1032+1013853618*p^87*q^ 1034+12164633036*p^85*q^1036+85691282630*p^83*q^1038+181978014684*p^81*q^1040+ 78080673896*p^79*q^1042+11498292666*p^77*q^1044+1076140268*p^75*q^1046+78664980 *p^73*q^1048+4087626*p^71*q^1050+390822*p^69*q^1052+3590*p^67*q^1054+64*p^96*q^ 1024+24914*p^94*q^1026+500744*p^92*q^1028+16258146*p^90*q^1030+258000975*p^88*q ^1032+3393184478*p^86*q^1034+34172879113*p^84*q^1036+149016880846*p^82*q^1038+ 147583900696*p^80*q^1040+34516587182*p^78*q^1042+3874482312*p^76*q^1044+ 313423754*p^74*q^1046+21868264*p^72*q^1048+806492*p^70*q^1050+51874*p^68*q^1052 +80*p^66*q^1054+1172*p^95*q^1024+68936*p^93*q^1026+3120854*p^91*q^1028+60542474 *p^89*q^1030+889416043*p^87*q^1032+10747201080*p^85*q^1034+80122397773*p^83*q^ 1036+182664219914*p^81*q^1038+85867069764*p^79*q^1040+12986584132*p^77*q^1042+ 1229615070*p^75*q^1044+88740292*p^73*q^1046+5077548*p^71*q^1048+343084*p^69*q^ 1050+4082*p^67*q^1052+76*p^96*q^1022+25926*p^94*q^1024+411674*p^92*q^1026+ 14021916*p^90*q^1028+225000046*p^88*q^1030+2991419843*p^86*q^1032+30595947340*p ^84*q^1034+144201640918*p^82*q^1036+154652804218*p^80*q^1038+38890867463*p^78*q ^1040+4442441418*p^76*q^1042+373341592*p^74*q^1044+26145542*p^72*q^1046+956893* p^70*q^1048+114834*p^68*q^1050+584*p^66*q^1052+1106*p^95*q^1022+84602*p^93*q^ 1024+2442936*p^91*q^1026+52646808*p^89*q^1028+768984068*p^87*q^1030+9492663175* p^85*q^1032+73500208532*p^83*q^1034+184892190783*p^81*q^1036+93364311912*p^79*q ^1038+14875167774*p^77*q^1040+1417458148*p^75*q^1042+102047444*p^73*q^1044+ 6360762*p^71*q^1046+342120*p^69*q^1048+5512*p^67*q^1050+20*p^96*q^1020+12492*p^ 94*q^1022+280698*p^92*q^1024+11542346*p^90*q^1026+190325610*p^88*q^1028+ 2588232506*p^86*q^1030+27566156462*p^84*q^1032+137351368606*p^82*q^1034+ 163572709958*p^80*q^1036+43315985668*p^78*q^1038+5090714715*p^76*q^1040+ 428282092*p^74*q^1042+29486346*p^72*q^1044+1132442*p^70*q^1046+112258*p^68*q^ 1048+206*p^66*q^1050+660*p^95*q^1020+101856*p^93*q^1022+1948634*p^91*q^1024+ 45751606*p^89*q^1026+677952776*p^87*q^1028+8367230396*p^85*q^1030+68123920269*p ^83*q^1032+183907345818*p^81*q^1034+101992139090*p^79*q^1036+16743889560*p^77*q ^1038+1629171504*p^75*q^1040+118710684*p^73*q^1042+7718534*p^71*q^1044+281386*p ^69*q^1046+21464*p^67*q^1048+44*p^65*q^1050+9764*p^94*q^1020+278414*p^92*q^1022 +9861209*p^90*q^1024+165377474*p^88*q^1026+2272973638*p^86*q^1028+24555343968*p ^84*q^1030+131496861246*p^82*q^1032+169648022958*p^80*q^1034+48615817830*p^78*q ^1036+5840966874*p^76*q^1038+502684254*p^74*q^1040+33616752*p^72*q^1042+1581834 *p^70*q^1044+140160*p^68*q^1046+308*p^66*q^1048+496*p^95*q^1018+78604*p^93*q^ 1020+1456702*p^91*q^1022+38816661*p^89*q^1024+582989924*p^87*q^1026+7370438990* p^85*q^1028+62030923574*p^83*q^1030+184046004776*p^81*q^1032+110269371894*p^79* q^1034+19125447161*p^77*q^1036+1867713506*p^75*q^1038+139573556*p^73*q^1040+ 9479088*p^71*q^1042+246250*p^69*q^1044+28140*p^67*q^1046+5446*p^94*q^1018+ 300096*p^92*q^1020+7955612*p^90*q^1022+142616411*p^88*q^1024+1974266726*p^86*q^ 1026+22020904788*p^84*q^1028+124160447732*p^82*q^1030+177458509351*p^80*q^1032+ 53820126342*p^78*q^1034+6675626391*p^76*q^1036+576172516*p^74*q^1038+37761584*p ^72*q^1040+1887130*p^70*q^1042+142632*p^68*q^1044+2132*p^66*q^1046+72*p^95*q^ 1016+58384*p^93*q^1018+1124616*p^91*q^1020+33496500*p^89*q^1022+507162645*p^87* q^1024+6459725510*p^85*q^1026+57040513481*p^83*q^1028+181054118558*p^81*q^1030+ 119582784890*p^79*q^1032+21551996098*p^77*q^1034+2160532008*p^75*q^1036+ 163989976*p^73*q^1038+10961990*p^71*q^1040+328302*p^69*q^1042+33846*p^67*q^1044 +4764*p^94*q^1016+308828*p^92*q^1018+6536752*p^90*q^1020+123527142*p^88*q^1022+ 1734823020*p^86*q^1024+19547999550*p^84*q^1026+117889788351*p^82*q^1028+ 182400526040*p^80*q^1030+60015685668*p^78*q^1032+7606261468*p^76*q^1034+ 662647890*p^74*q^1036+43159384*p^72*q^1038+2550820*p^70*q^1040+89670*p^68*q^ 1042+5658*p^66*q^1044+8*p^97*q^1012+16*p^95*q^1014+41662*p^93*q^1016+1014770*p^ 91*q^1018+28759590*p^89*q^1020+437251698*p^87*q^1022+5686193856*p^85*q^1024+ 51560227910*p^83*q^1026+179107807418*p^81*q^1028+128096768478*p^79*q^1030+ 24532006447*p^77*q^1032+2490433142*p^75*q^1034+196843376*p^73*q^1036+12669604*p ^71*q^1038+405940*p^69*q^1040+62578*p^67*q^1042+80*p^65*q^1044+20*p^96*q^1012+ 1906*p^94*q^1014+260698*p^92*q^1016+4965482*p^90*q^1018+105301992*p^88*q^1020+ 1499286490*p^86*q^1022+17418781902*p^84*q^1024+110144303828*p^82*q^1026+ 189136167234*p^80*q^1028+66233107474*p^78*q^1030+8712731705*p^76*q^1032+ 757699328*p^74*q^1034+49009146*p^72*q^1036+3186094*p^70*q^1038+70916*p^68*q^ 1040+3904*p^66*q^1042+4*p^97*q^1010+28656*p^93*q^1014+926788*p^91*q^1016+ 24133970*p^89*q^1018+381194823*p^87*q^1020+4970582674*p^85*q^1022+47168699187*p ^83*q^1024+174372069824*p^81*q^1026+137726780993*p^79*q^1028+27498348364*p^77*q ^1030+2854634603*p^75*q^1032+225574204*p^73*q^1034+13956504*p^71*q^1036+511104* p^69*q^1038+48032*p^67*q^1040+760*p^65*q^1042+92*p^96*q^1010+518*p^94*q^1012+ 226172*p^92*q^1014+4273772*p^90*q^1016+92481398*p^88*q^1018+1316691878*p^86*q^ 1020+15423633258*p^84*q^1022+103651787669*p^82*q^1024+191984096744*p^80*q^1026+ 73529070413*p^78*q^1028+9928188868*p^76*q^1030+884339244*p^74*q^1032+60220882*p ^72*q^1034+4016932*p^70*q^1036+86524*p^68*q^1038+16176*p^66*q^1040+8*p^97*q^ 1008+262*p^95*q^1010+21650*p^93*q^1012+907510*p^91*q^1014+19698878*p^89*q^1016+ 327253424*p^87*q^1018+4359087951*p^85*q^1020+42309316900*p^83*q^1022+ 170824856712*p^81*q^1024+146290309392*p^79*q^1026+31194952764*p^77*q^1028+ 3284001144*p^75*q^1030+262971453*p^73*q^1032+15306224*p^71*q^1034+747630*p^69*q ^1036+33658*p^67*q^1038+144*p^65*q^1040+60*p^96*q^1008+204*p^94*q^1010+149836*p ^92*q^1012+3252282*p^90*q^1014+79222264*p^88*q^1016+1134589786*p^86*q^1018+ 13681588911*p^84*q^1020+96122578236*p^82*q^1022+197088545702*p^80*q^1024+ 80522463174*p^78*q^1026+11346125227*p^76*q^1028+1010899840*p^74*q^1030+70825528 *p^72*q^1032+4484558*p^70*q^1034+75156*p^68*q^1036+19048*p^66*q^1038+46*p^64*q^ 1040+444*p^95*q^1008+7774*p^93*q^1010+860108*p^91*q^1012+16801538*p^89*q^1014+ 284162941*p^87*q^1016+3814540088*p^85*q^1018+38468585915*p^83*q^1020+ 164479356120*p^81*q^1022+156069215656*p^79*q^1024+34836162362*p^77*q^1026+ 3770959778*p^75*q^1028+300134602*p^73*q^1030+17233077*p^71*q^1032+1045734*p^69* q^1034+20968*p^67*q^1036+2150*p^65*q^1038+132*p^96*q^1006+1434*p^94*q^1008+ 136624*p^92*q^1010+2942792*p^90*q^1012+67570914*p^88*q^1014+996721148*p^86*q^ 1016+12061728268*p^84*q^1018+89528588444*p^82*q^1020+198145268864*p^80*q^1022+ 88879151853*p^78*q^1024+12911751574*p^76*q^1026+1176024161*p^74*q^1028+86225636 *p^72*q^1030+5252868*p^70*q^1032+133800*p^68*q^1034+19292*p^66*q^1036+496*p^95* q^1006+4448*p^93*q^1008+686784*p^91*q^1010+13462080*p^89*q^1012+245394936*p^87* q^1014+3332113490*p^85*q^1016+34350519146*p^83*q^1018+159422937865*p^81*q^1020+ 164132525150*p^79*q^1022+39385008786*p^77*q^1024+4313263018*p^75*q^1026+ 348480501*p^73*q^1028+19872188*p^71*q^1030+1283446*p^69*q^1032+11448*p^67*q^ 1034+4676*p^65*q^1036+8*p^96*q^1004+1720*p^94*q^1006+75532*p^92*q^1008+2706302* p^90*q^1010+57788182*p^88*q^1012+857587572*p^86*q^1014+10675995196*p^84*q^1016+ 82401593374*p^82*q^1018+200844090255*p^80*q^1020+96791586222*p^78*q^1022+ 14732549698*p^76*q^1024+1351596254*p^74*q^1026+99347418*p^72*q^1028+5638416*p^ 70*q^1030+200790*p^68*q^1032+10784*p^66*q^1034+102*p^64*q^1036+956*p^95*q^1004+ 5260*p^93*q^1006+594420*p^91*q^1008+10862258*p^89*q^1010+212388256*p^87*q^1012+ 2907394078*p^85*q^1014+31022020015*p^83*q^1016+152071942118*p^81*q^1018+ 173493848946*p^79*q^1020+43844212466*p^77*q^1022+4955556890*p^75*q^1024+ 399279554*p^73*q^1026+24595859*p^71*q^1028+1542960*p^69*q^1030+16480*p^67*q^ 1032+6416*p^65*q^1034+2300*p^94*q^1004+45310*p^92*q^1006+2480920*p^90*q^1008+ 49569518*p^88*q^1010+751000494*p^86*q^1012+9372278494*p^84*q^1014+76272147089*p ^82*q^1016+199932662662*p^80*q^1018+105893770909*p^78*q^1020+16681939662*p^76*q ^1022+1569074449*p^74*q^1024+115797250*p^72*q^1026+5850156*p^70*q^1028+306764*p ^68*q^1030+2838*p^66*q^1032+708*p^64*q^1034+324*p^95*q^1002+7768*p^93*q^1004+ 469912*p^91*q^1006+9212082*p^89*q^1008+182909380*p^87*q^1010+2539912471*p^85*q^ 1012+27578969300*p^83*q^1014+145810775452*p^81*q^1016+180676282558*p^79*q^1018+ 49330237032*p^77*q^1020+5688358030*p^75*q^1022+463653913*p^73*q^1024+30387420*p ^71*q^1026+1982230*p^69*q^1028+28164*p^67*q^1030+7186*p^65*q^1032+8*p^96*q^1000 +4044*p^94*q^1002+28164*p^92*q^1004+2144542*p^90*q^1006+40698632*p^88*q^1008+ 643999352*p^86*q^1010+8265628366*p^84*q^1012+69466520184*p^82*q^1014+ 200768417282*p^80*q^1016+114635318762*p^78*q^1018+18997751463*p^76*q^1020+ 1791593472*p^74*q^1022+134092794*p^72*q^1024+6340902*p^70*q^1026+347912*p^68*q^ 1028+1100*p^66*q^1030+988*p^64*q^1032+28*p^95*q^1000+7166*p^93*q^1002+299132*p^ 91*q^1004+7957992*p^89*q^1006+159071600*p^87*q^1008+2216869022*p^85*q^1010+ 24772199484*p^83*q^1012+137858369754*p^81*q^1014+189168842056*p^79*q^1016+ 54621109624*p^77*q^1018+6507531819*p^75*q^1020+535096238*p^73*q^1022+35411562*p ^71*q^1024+2046614*p^69*q^1026+51916*p^67*q^1028+1434*p^65*q^1030+52*p^63*q^ 1032+3524*p^94*q^1000+33290*p^92*q^1002+1965760*p^90*q^1004+34347146*p^88*q^ 1006+563797117*p^86*q^1008+7242995212*p^84*q^1010+63913899619*p^82*q^1012+ 197166372028*p^80*q^1014+124578282490*p^78*q^1016+21489442752*p^76*q^1018+ 2081406601*p^74*q^1020+154636264*p^72*q^1022+8216306*p^70*q^1024+541576*p^68*q^ 1026+3208*p^66*q^1028+2954*p^64*q^1030+164*p^95*q^998+11932*p^93*q^1000+208868* p^91*q^1002+7106564*p^89*q^1004+136051240*p^87*q^1006+1931569962*p^85*q^1008+ 21914324096*p^83*q^1010+130821212844*p^81*q^1012+195025455358*p^79*q^1014+ 61235221727*p^77*q^1016+7439201396*p^75*q^1018+624211583*p^73*q^1020+43121230*p ^71*q^1022+2028970*p^69*q^1024+70312*p^67*q^1026+24*p^65*q^1028+48*p^63*q^1030+ 744*p^94*q^998+25746*p^92*q^1000+1467010*p^90*q^1002+27739378*p^88*q^1004+ 482224564*p^86*q^1006+6357945403*p^84*q^1008+57877981198*p^82*q^1010+ 196096864400*p^80*q^1012+133495202392*p^78*q^1014+24384335524*p^76*q^1016+ 2379948454*p^74*q^1018+175949856*p^72*q^1020+9361100*p^70*q^1022+655874*p^68*q^ 1024+4794*p^66*q^1026+1102*p^64*q^1028+20*p^95*q^996+17440*p^93*q^998+152558*p^ 91*q^1000+6502480*p^89*q^1002+118002455*p^87*q^1004+1683321628*p^85*q^1006+ 19627949099*p^83*q^1008+122549654312*p^81*q^1010+202080121484*p^79*q^1012+ 67461525370*p^77*q^1014+8525898178*p^75*q^1016+717663918*p^73*q^1018+50193010*p ^71*q^1020+2198286*p^69*q^1022+98674*p^67*q^1024+280*p^65*q^1026+622*p^63*q^ 1028+1424*p^94*q^996+31176*p^92*q^998+1170462*p^90*q^1000+24009768*p^88*q^1002+ 421708918*p^86*q^1004+5563649850*p^84*q^1006+52750249399*p^82*q^1008+ 190748112388*p^80*q^1010+144059056129*p^78*q^1012+27465380760*p^76*q^1014+ 2758600399*p^74*q^1016+205816742*p^72*q^1018+12303576*p^70*q^1020+762988*p^68*q ^1022+12644*p^66*q^1024+8372*p^93*q^996+126472*p^91*q^998+5562730*p^89*q^1000+ 98168754*p^87*q^1002+1461372333*p^85*q^1004+17270953248*p^83*q^1006+ 115332315152*p^81*q^1008+206135124424*p^79*q^1010+75140352531*p^77*q^1012+ 9726482948*p^75*q^1014+834843488*p^73*q^1016+57829928*p^71*q^1018+2325890*p^69* q^1020+151300*p^67*q^1022+166*p^65*q^1024+594*p^63*q^1026+568*p^94*q^994+49600* p^92*q^996+813394*p^90*q^998+20562780*p^88*q^1000+364852984*p^86*q^1002+ 4885487680*p^84*q^1004+47508988754*p^82*q^1006+187272482856*p^80*q^1008+ 153183547968*p^78*q^1010+31113244642*p^76*q^1012+3142400766*p^74*q^1014+ 237567212*p^72*q^1016+14760858*p^70*q^1018+762250*p^68*q^1020+13682*p^66*q^1022 +14*p^64*q^1024+52*p^62*q^1026+8036*p^93*q^994+103392*p^91*q^996+4748700*p^89*q ^998+83399564*p^87*q^1000+1263786562*p^85*q^1002+15365473529*p^83*q^1004+ 107055601584*p^81*q^1006+211502587827*p^79*q^1008+82354894862*p^77*q^1010+ 11125810728*p^75*q^1012+966635370*p^73*q^1014+66119614*p^71*q^1016+2891662*p^69 *q^1018+215476*p^67*q^1020+1352*p^65*q^1022+76*p^94*q^992+45304*p^92*q^994+ 646518*p^90*q^996+18335912*p^88*q^998+317554054*p^86*q^1000+4276762216*p^84*q^ 1002+43140282096*p^82*q^1004+180473486852*p^80*q^1006+163609453143*p^78*q^1008+ 34909362742*p^76*q^1010+3628329456*p^74*q^1012+275166738*p^72*q^1014+17962122*p ^70*q^1016+713146*p^68*q^1018+22846*p^66*q^1020+184*p^62*q^1024+20*p^95*q^990+ 6360*p^93*q^992+119862*p^91*q^994+3802062*p^89*q^996+69754076*p^87*q^998+ 1102117273*p^85*q^1000+13481237192*p^83*q^1002+99725835941*p^81*q^1004+ 213300934562*p^79*q^1006+91121499651*p^77*q^1008+12670306626*p^75*q^1010+ 1124867993*p^73*q^1012+77212882*p^71*q^1014+3828956*p^69*q^1016+280492*p^67*q^ 1018+2184*p^65*q^1020+32*p^94*q^990+36678*p^92*q^992+476858*p^90*q^994+15857428 *p^88*q^996+270709426*p^86*q^998+3726128166*p^84*q^1000+38555345616*p^82*q^1002 +175536743356*p^80*q^1004+172569371852*p^78*q^1006+39429254666*p^76*q^1008+ 4148951668*p^74*q^1010+319388892*p^72*q^1012+20654630*p^70*q^1014+682442*p^68*q ^1016+36596*p^66*q^1018+44*p^64*q^1020+1624*p^93*q^990+138312*p^91*q^992+ 2967850*p^89*q^994+59581796*p^87*q^996+955325056*p^85*q^998+11991587533*p^83*q^ 1000+91854800630*p^81*q^1002+216495819956*p^79*q^1004+99208618816*p^77*q^1006+ 14436135690*p^75*q^1008+1279514406*p^73*q^1010+87723930*p^71*q^1012+4691838*p^ 69*q^1014+259468*p^67*q^1016+2068*p^65*q^1018+30*p^61*q^1022+268*p^94*q^988+ 37544*p^92*q^990+415293*p^90*q^992+14010984*p^88*q^994+234989519*p^86*q^996+ 3256397828*p^84*q^998+34769741092*p^82*q^1000+167259526414*p^80*q^1002+ 182734980483*p^78*q^1004+44051071552*p^76*q^1006+4799020193*p^74*q^1008+ 379766420*p^72*q^1010+24723526*p^70*q^1012+889282*p^68*q^1014+75964*p^66*q^1016 +320*p^64*q^1018+932*p^93*q^988+135994*p^91*q^990+2348878*p^89*q^992+51378720*p ^87*q^994+829646304*p^85*q^996+10471227158*p^83*q^998+85011964932*p^81*q^1000+ 215784734432*p^79*q^1002+109062140392*p^77*q^1004+16428225296*p^75*q^1006+ 1485656365*p^73*q^1008+100509030*p^71*q^1010+5901800*p^69*q^1012+249578*p^67*q^ 1014+3196*p^65*q^1016+28*p^94*q^986+17876*p^92*q^988+365780*p^90*q^990+11436054 *p^88*q^992+196057326*p^86*q^994+2833795594*p^84*q^996+30938533318*p^82*q^998+ 160959333507*p^80*q^1000+190760968076*p^78*q^1002+49547828892*p^76*q^1004+ 5464969338*p^74*q^1006+436913379*p^72*q^1008+28125398*p^70*q^1010+1012802*p^68* q^1012+77774*p^66*q^1014+88*p^64*q^1016+2*p^60*q^1020+1560*p^93*q^986+142460*p^ 91*q^988+1827958*p^89*q^990+45169114*p^87*q^992+723575644*p^85*q^994+9283741086 *p^83*q^996+77697773436*p^81*q^998+217056021620*p^79*q^1000+117725672886*p^77*q ^1002+18683429743*p^75*q^1004+1699063906*p^73*q^1006+118446420*p^71*q^1008+ 7037328*p^69*q^1010+243896*p^67*q^1012+12850*p^65*q^1014+20*p^63*q^1016+2*p^96* q^982+11512*p^92*q^986+400522*p^90*q^988+9800928*p^88*q^990+169350499*p^86*q^ 992+2466865192*p^84*q^994+27733934688*p^82*q^996+151917165842*p^80*q^998+ 199949620971*p^78*q^1000+55126655920*p^76*q^1002+6320666999*p^74*q^1004+ 510954182*p^72*q^1006+32069988*p^70*q^1008+1439594*p^68*q^1010+93202*p^66*q^ 1012+100*p^64*q^1014+804*p^93*q^984+108600*p^91*q^986+1412844*p^89*q^988+ 38528418*p^87*q^990+624536486*p^85*q^992+8098088866*p^83*q^994+71285878329*p^81 *q^996+214078907228*p^79*q^998+128692967479*p^77*q^1000+21153110284*p^75*q^1002 +1965190480*p^73*q^1004+138984060*p^71*q^1006+8752828*p^69*q^1008+218192*p^67*q ^1010+17036*p^65*q^1012+8*p^96*q^980+7530*p^92*q^984+415854*p^90*q^986+7766376* p^88*q^988+144432022*p^86*q^990+2148511156*p^84*q^992+24566595644*p^82*q^994+ 144676078747*p^80*q^996+206579221454*p^78*q^998+61639197293*p^76*q^1000+ 7189969310*p^74*q^1002+588024208*p^72*q^1004+36203712*p^70*q^1006+1677216*p^68* q^1008+100192*p^66*q^1010+1140*p^64*q^1012+22*p^95*q^980+92*p^93*q^982+78460*p^ 91*q^984+1236358*p^89*q^986+33538934*p^87*q^988+535989490*p^85*q^990+7144402089 *p^83*q^992+64716167304*p^81*q^994+212638987453*p^79*q^996+138044296654*p^77*q^ 998+24080600630*p^75*q^1000+2259354958*p^73*q^1002+163551494*p^71*q^1004+ 10103890*p^69*q^1006+292074*p^67*q^1008+21324*p^65*q^1010+6852*p^92*q^982+ 398026*p^90*q^984+6254662*p^88*q^986+125470001*p^86*q^988+1873118220*p^84*q^990 +21954186023*p^82*q^992+135459942936*p^80*q^994+214369980588*p^78*q^996+ 68133663108*p^76*q^998+8264582405*p^74*q^1000+674626416*p^72*q^1002+41983666*p^ 70*q^1004+2259242*p^68*q^1006+77230*p^66*q^1008+2844*p^64*q^1010+112*p^95*q^978 +60*p^93*q^980+50890*p^91*q^982+1201538*p^89*q^984+28806452*p^87*q^986+ 461910400*p^85*q^988+6218244014*p^83*q^990+58965992640*p^81*q^992+207473823994* p^79*q^994+149250540207*p^77*q^996+27219731106*p^75*q^998+2624965975*p^73*q^ 1000+195652260*p^71*q^1002+11700036*p^69*q^1004+361358*p^67*q^1006+35816*p^65*q ^1008+36*p^63*q^1010+94*p^94*q^978+2450*p^92*q^980+347356*p^90*q^982+4871932*p^ 88*q^984+106193498*p^86*q^986+1627031949*p^84*q^988+19330160584*p^82*q^990+ 127789494837*p^80*q^992+219385226140*p^78*q^994+75919792483*p^76*q^996+ 9400280592*p^74*q^998+776743791*p^72*q^1000+47699908*p^70*q^1002+2833690*p^68*q ^1004+60700*p^66*q^1006+2352*p^64*q^1008+8*p^95*q^976+4*p^93*q^978+35582*p^91*q ^980+1095068*p^89*q^982+23930120*p^87*q^984+398642000*p^85*q^986+5465484179*p^ 83*q^988+53168815644*p^81*q^990+204190087973*p^79*q^992+158795008344*p^77*q^994 +30769136456*p^75*q^996+2997862456*p^73*q^998+225201288*p^71*q^1000+12985092*p^ 69*q^1002+429546*p^67*q^1004+34840*p^65*q^1006+320*p^63*q^1008+664*p^94*q^976+ 1380*p^92*q^978+290764*p^90*q^980+4302026*p^88*q^982+94002180*p^86*q^984+ 1412561628*p^84*q^986+17239995365*p^82*q^988+118461861626*p^80*q^990+ 225183348379*p^78*q^992+83467635764*p^76*q^994+10813565154*p^74*q^996+901883550 *p^72*q^998+58770262*p^70*q^1000+3602036*p^68*q^1002+78542*p^66*q^1004+7790*p^ 64*q^1006+8*p^95*q^974+228*p^93*q^976+24842*p^91*q^978+1095410*p^89*q^980+ 19579500*p^87*q^982+341953806*p^85*q^984+4752368644*p^83*q^986+48090982469*p^81 *q^988+196842262846*p^79*q^990+170514750158*p^77*q^992+34654017054*p^75*q^994+ 3472686981*p^73*q^996+261735748*p^71*q^998+14432865*p^69*q^1000+634476*p^67*q^ 1002+25978*p^65*q^1004+80*p^63*q^1006+274*p^94*q^974+288*p^92*q^976+180908*p^90 *q^978+3390996*p^88*q^980+79833802*p^86*q^982+1221520241*p^84*q^984+15112997902 *p^82*q^986+110880378534*p^80*q^988+227820143010*p^78*q^990+92411223662*p^76*q^ 992+12281731262*p^74*q^994+1038367843*p^72*q^996+68997870*p^70*q^998+4031392*p^ 68*q^1000+61696*p^66*q^1002+10640*p^64*q^1004+16*p^62*q^1006+2076*p^93*q^974+ 14900*p^91*q^976+1088362*p^89*q^978+16586510*p^87*q^980+294522934*p^85*q^982+ 4178926397*p^83*q^984+43178714214*p^81*q^986+191691132487*p^79*q^988+ 179468092842*p^77*q^990+39110280908*p^75*q^992+3962827758*p^73*q^994+300248367* p^71*q^996+16336182*p^69*q^998+898248*p^67*q^1000+19092*p^65*q^1002+876*p^63*q^ 1004+120*p^94*q^972+628*p^92*q^974+147162*p^90*q^976+3125422*p^88*q^978+ 68743614*p^86*q^980+1061571124*p^84*q^982+13402055457*p^82*q^984+101902870492*p ^80*q^986+231575145498*p^78*q^988+100921741034*p^76*q^990+14101522108*p^74*q^ 992+1206286584*p^72*q^994+84214216*p^70*q^996+4722284*p^68*q^998+107932*p^66*q^ 1000+12636*p^64*q^1002+2354*p^93*q^972+6056*p^91*q^974+846856*p^89*q^976+ 13297936*p^87*q^978+254072376*p^85*q^980+3613649360*p^83*q^982+38815801721*p^81 *q^984+183153546730*p^79*q^986+190913445481*p^77*q^988+43792988546*p^75*q^990+ 4580262718*p^73*q^992+346403074*p^71*q^994+18971150*p^69*q^996+1122922*p^67*q^ 998+9902*p^65*q^1000+1896*p^63*q^1002+40*p^94*q^970+3746*p^92*q^972+105300*p^90 *q^974+3049847*p^88*q^976+58393832*p^86*q^978+917696818*p^84*q^980+11741459234* p^82*q^982+94539945681*p^80*q^984+231596861522*p^78*q^986+111050851843*p^76*q^ 988+15978027910*p^74*q^990+1392435495*p^72*q^992+97100562*p^70*q^994+5129840*p^ 68*q^996+162544*p^66*q^998+8340*p^64*q^1000+36*p^62*q^1002+1080*p^93*q^970+3434 *p^91*q^972+663422*p^89*q^974+10809356*p^87*q^976+218551038*p^85*q^978+ 3163945826*p^83*q^980+34609947654*p^81*q^982+176292328073*p^79*q^984+ 199425354260*p^77*q^986+49272104296*p^75*q^988+5228443900*p^73*q^990+401259768* p^71*q^992+23393774*p^69*q^994+1346822*p^67*q^996+12748*p^65*q^998+3332*p^63*q^ 1000+8952*p^92*q^970+60556*p^90*q^972+2921176*p^88*q^974+49965277*p^86*q^976+ 794566094*p^84*q^978+10385179840*p^82*q^980+86328717038*p^80*q^982+232907561759 *p^78*q^984+120293476478*p^76*q^986+18264762551*p^74*q^988+1609828358*p^72*q^ 990+112959036*p^70*q^992+5388072*p^68*q^994+253534*p^66*q^996+2708*p^64*q^998+ 192*p^62*q^1000+816*p^93*q^968+6928*p^91*q^970+538938*p^89*q^972+9276088*p^87*q ^974+189103502*p^85*q^976+2743894972*p^83*q^978+30987356483*p^81*q^980+ 166733482392*p^79*q^982+209639126486*p^77*q^984+54993619666*p^75*q^986+ 6049003504*p^73*q^988+464722314*p^71*q^990+29219672*p^69*q^992+1729570*p^67*q^ 994+22034*p^65*q^996+4320*p^63*q^998+16*p^94*q^966+6624*p^92*q^968+29882*p^90*q ^970+2477430*p^88*q^972+40654568*p^86*q^974+682110321*p^84*q^976+9038919896*p^ 82*q^978+79362084048*p^80*q^980+230523897630*p^78*q^982+131548772838*p^76*q^984 +20660462542*p^74*q^986+1852124169*p^72*q^988+130474758*p^70*q^990+5860466*p^68 *q^992+296282*p^66*q^994+832*p^64*q^996+376*p^62*q^998+48*p^93*q^966+17686*p^91 *q^968+380768*p^89*q^970+8388960*p^87*q^972+163434468*p^85*q^974+2403485657*p^ 83*q^976+27526427744*p^81*q^978+159199809102*p^79*q^980+216888515948*p^77*q^982 +61438663284*p^75*q^984+6885960832*p^73*q^986+538709045*p^71*q^988+33889062*p^ 69*q^990+1790572*p^67*q^992+39528*p^65*q^994+1284*p^63*q^996+8*p^61*q^998+6400* p^92*q^966+33166*p^90*q^968+2141352*p^88*q^970+34339052*p^86*q^972+591985806*p^ 84*q^974+7974171627*p^82*q^976+71932492962*p^80*q^978+229070729790*p^78*q^980+ 141357124504*p^76*q^982+23599442034*p^74*q^984+2141767118*p^72*q^986+151870992* p^70*q^988+7701892*p^68*q^990+463818*p^66*q^992+2478*p^64*q^994+1316*p^62*q^996 +250*p^93*q^964+23548*p^91*q^966+235832*p^89*q^968+7804480*p^87*q^970+139858660 *p^85*q^972+2072696758*p^83*q^974+24517423971*p^81*q^976+148910741180*p^79*q^ 978+226050886332*p^77*q^980+68296386516*p^75*q^982+7936818917*p^73*q^984+ 626436780*p^71*q^986+41070037*p^69*q^988+1795988*p^67*q^990+56148*p^65*q^992+20 *p^63*q^994+12*p^61*q^996+1964*p^92*q^964+29082*p^90*q^966+1712796*p^88*q^968+ 27542468*p^86*q^970+508180198*p^84*q^972+6931393172*p^82*q^974+65705880248*p^80 *q^976+224289168900*p^78*q^978+153212368705*p^76*q^980+26567641520*p^74*q^982+ 2467652873*p^72*q^984+172390904*p^70*q^986+8828796*p^68*q^988+547248*p^66*q^990 +3442*p^64*q^992+720*p^62*q^994+28*p^93*q^962+27708*p^91*q^964+187540*p^89*q^ 966+6986742*p^87*q^968+120602354*p^85*q^970+1814144855*p^83*q^972+21681825338*p ^81*q^974+140910341262*p^79*q^976+231036616078*p^77*q^978+76047542467*p^75*q^ 980+9047633776*p^73*q^982+725061832*p^71*q^984+47935826*p^69*q^986+1975170*p^67 *q^988+83784*p^65*q^990+204*p^63*q^992+184*p^61*q^994+1836*p^92*q^962+49748*p^ 90*q^964+1305556*p^88*q^966+24601296*p^86*q^968+440147388*p^84*q^970+6096881020 *p^82*q^972+59151209528*p^80*q^974+220666168360*p^78*q^976+163305610544*p^76*q^ 978+30225717908*p^74*q^980+2842539332*p^72*q^982+203341266*p^70*q^984+11426878* p^68*q^986+647602*p^66*q^988+9476*p^64*q^990+18784*p^91*q^962+132284*p^89*q^964 +6089508*p^87*q^966+99726261*p^85*q^968+1561719068*p^83*q^970+19214764116*p^81* q^972+130709917918*p^79*q^974+238398337821*p^77*q^976+83839849162*p^75*q^978+ 10416435938*p^73*q^980+840921328*p^71*q^982+55283875*p^69*q^984+2152458*p^67*q^ 986+122950*p^65*q^988+120*p^63*q^990+268*p^61*q^992+872*p^92*q^960+72894*p^90*q ^962+954280*p^88*q^964+21255458*p^86*q^966+382252365*p^84*q^968+5300693568*p^82 *q^970+53652769897*p^80*q^972+213671825320*p^78*q^974+175620419778*p^76*q^976+ 33955775916*p^74*q^978+3266667720*p^72*q^980+233826378*p^70*q^982+13899978*p^68 *q^984+639722*p^66*q^986+10820*p^64*q^988+8*p^62*q^990+8*p^60*q^992+10688*p^91* q^960+108306*p^89*q^962+5180986*p^87*q^964+84291998*p^85*q^966+1353654925*p^83* q^968+16909358630*p^81*q^970+122392220051*p^79*q^972+241279769872*p^77*q^974+ 92891035315*p^75*q^976+11841078964*p^73*q^978+976300299*p^71*q^980+63574894*p^ 69*q^982+2623708*p^67*q^984+175628*p^65*q^986+992*p^63*q^988+72*p^92*q^958+ 82022*p^90*q^960+763336*p^88*q^962+19074298*p^86*q^964+329983530*p^84*q^966+ 4664632654*p^82*q^968+48110118152*p^80*q^970+207909621288*p^78*q^972+ 185483362148*p^76*q^974+38499761446*p^74*q^976+3752289078*p^72*q^978+273603074* p^70*q^980+16702132*p^68*q^982+629126*p^66*q^984+18758*p^64*q^986+52*p^60*q^990 +4*p^93*q^956+9464*p^91*q^958+142272*p^89*q^960+4170478*p^87*q^962+71356754*p^ 85*q^964+1169344000*p^83*q^966+14932548120*p^81*q^968+112552429942*p^79*q^970+ 245863285432*p^77*q^972+101779498092*p^75*q^974+13605540735*p^73*q^976+ 1131461124*p^71*q^978+74469844*p^69*q^980+3521502*p^67*q^982+225824*p^65*q^984+ 1572*p^63*q^986+60*p^92*q^956+55692*p^90*q^958+500494*p^88*q^960+16747408*p^86* q^962+281052642*p^84*q^964+4026102046*p^82*q^966+43346302597*p^80*q^968+ 199427930976*p^78*q^970+197527067270*p^76*q^972+43140739622*p^74*q^974+ 4329950979*p^72*q^976+315717752*p^70*q^978+19252596*p^68*q^980+604968*p^66*q^ 982+28756*p^64*q^984+32*p^62*q^986+2134*p^91*q^956+202420*p^89*q^958+3368130*p^ 87*q^960+60377950*p^85*q^962+1017064565*p^83*q^964+13121562296*p^81*q^966+ 104647979229*p^79*q^968+246293442156*p^77*q^970+111939032657*p^75*q^972+ 15402341276*p^73*q^974+1296924258*p^71*q^976+85136302*p^69*q^978+4320198*p^67*q ^980+209926*p^65*q^982+1724*p^63*q^984+4*p^59*q^988+56*p^92*q^954+54488*p^90*q^ 956+428622*p^88*q^958+14835030*p^86*q^960+243157330*p^84*q^962+3536138698*p^82* q^964+38587349160*p^80*q^966+192086431137*p^78*q^968+206756085584*p^76*q^970+ 48631539411*p^74*q^972+4987215548*p^72*q^974+375765713*p^70*q^976+23142208*p^68 *q^978+782996*p^66*q^980+59874*p^64*q^982+232*p^62*q^984+4*p^95*q^950+1352*p^91 *q^954+199450*p^89*q^956+2593146*p^87*q^958+52873746*p^85*q^960+874966924*p^83* q^962+11544301997*p^81*q^964+95417358824*p^79*q^966+248396498676*p^77*q^968+ 121790583912*p^75*q^970+17689847627*p^73*q^972+1497111880*p^71*q^974+98997458*p ^69*q^976+5345508*p^67*q^978+211166*p^65*q^980+2624*p^63*q^982+12*p^92*q^952+ 25298*p^90*q^954+411754*p^88*q^956+12268572*p^86*q^958+202472034*p^84*q^960+ 3048567808*p^82*q^962+34590274903*p^80*q^964+182111744966*p^78*q^966+ 218294060229*p^76*q^968+54282719706*p^74*q^970+5718159094*p^72*q^972+431314290* p^70*q^974+26327880*p^68*q^976+927152*p^66*q^978+57736*p^64*q^980+80*p^62*q^982 +488*p^91*q^952+204240*p^89*q^954+2006244*p^87*q^956+46324174*p^85*q^958+ 766970048*p^83*q^960+10125078140*p^81*q^962+88052066504*p^79*q^964+245989465524 *p^77*q^966+133015777962*p^75*q^968+19969423924*p^73*q^970+1728573214*p^71*q^ 972+115449578*p^69*q^974+6440780*p^67*q^976+198394*p^65*q^978+9838*p^63*q^980+ 16*p^61*q^982+52*p^94*q^948+14894*p^90*q^952+496902*p^88*q^954+10448984*p^86*q^ 956+174190742*p^84*q^958+2660991838*p^82*q^960+30652587894*p^80*q^962+ 173712317340*p^78*q^964+225758168472*p^76*q^966+61021484307*p^74*q^968+ 6585062156*p^72*q^970+505694760*p^70*q^972+30795728*p^68*q^974+1284394*p^66*q^ 976+75384*p^64*q^978+120*p^62*q^980+440*p^91*q^950+153400*p^89*q^952+1474330*p^ 87*q^954+40341884*p^85*q^956+655250604*p^83*q^958+8885665359*p^81*q^960+ 79750317326*p^79*q^962+245516585164*p^77*q^964+143639394730*p^75*q^966+ 22850797195*p^73*q^968+1989980110*p^71*q^970+135912714*p^69*q^972+7796684*p^67* q^974+193370*p^65*q^976+11894*p^63*q^978+8*p^94*q^946+4*p^92*q^948+6696*p^90*q^ 950+539468*p^88*q^952+8516572*p^86*q^954+148452327*p^84*q^956+2299597264*p^82*q ^958+27340543447*p^80*q^960+163191120250*p^78*q^962+235958186694*p^76*q^964+ 67567883508*p^74*q^966+7554140644*p^72*q^968+579084240*p^70*q^970+35206852*p^68 *q^972+1524402*p^66*q^974+74462*p^64*q^976+842*p^62*q^978+268*p^93*q^946+72*p^ 91*q^948+99478*p^89*q^950+1314802*p^87*q^952+34685064*p^85*q^954+564824823*p^83 *q^956+7756793136*p^81*q^958+72944436018*p^79*q^960+240602829016*p^77*q^962+ 155819344222*p^75*q^964+25807697496*p^73*q^966+2306564245*p^71*q^968+159604424* p^69*q^970+9173023*p^67*q^972+253160*p^65*q^974+16522*p^63*q^976+4456*p^90*q^ 948+548316*p^88*q^950+6731415*p^86*q^952+129102636*p^84*q^954+2011028374*p^82*q ^956+24139734564*p^80*q^958+154222549148*p^78*q^960+241772548706*p^76*q^962+ 75524046237*p^74*q^964+8627821134*p^72*q^966+669519837*p^70*q^968+40636152*p^68 *q^970+1982402*p^66*q^972+60762*p^64*q^974+1922*p^62*q^976+184*p^93*q^944+100*p ^91*q^946+66030*p^89*q^948+1333054*p^87*q^950+30198832*p^85*q^952+482942976*p^ 83*q^954+6794619320*p^81*q^956+65645580990*p^79*q^958+237095651570*p^77*q^960+ 166728815506*p^75*q^962+29436087590*p^73*q^964+2669699824*p^71*q^966+190578790* p^69*q^968+10986584*p^67*q^970+328526*p^65*q^972+25986*p^63*q^974+32*p^61*q^976 +704*p^92*q^944+2186*p^90*q^946+437276*p^88*q^948+5103758*p^86*q^950+110042444* p^84*q^952+1732405406*p^82*q^954+21411679688*p^80*q^956+143510871884*p^78*q^958 +250062386560*p^76*q^960+83358550250*p^74*q^962+9909139206*p^72*q^964+767282594 *p^70*q^966+46587893*p^68*q^968+2393804*p^66*q^970+48946*p^64*q^972+1710*p^62*q ^974+16*p^93*q^942+4*p^91*q^944+32372*p^89*q^946+1358644*p^87*q^948+25467948*p^ 85*q^950+416178277*p^83*q^952+5909648988*p^81*q^954+59716338555*p^79*q^956+ 230170294096*p^77*q^958+179135360232*p^75*q^960+33065817048*p^73*q^962+ 3069172610*p^71*q^964+218230048*p^69*q^966+12358117*p^67*q^968+397390*p^65*q^ 970+23482*p^63*q^972+200*p^61*q^974+1296*p^92*q^942+1216*p^90*q^944+373884*p^88 *q^946+4509032*p^86*q^948+96280648*p^84*q^950+1512206185*p^82*q^952+18882255598 *p^80*q^954+134357699640*p^78*q^956+253339177554*p^76*q^958+92592637694*p^74*q^ 960+11329405892*p^72*q^962+898999866*p^70*q^964+57226774*p^68*q^966+3149696*p^ 66*q^968+68226*p^64*q^970+5818*p^62*q^972+12*p^93*q^940+1044*p^91*q^942+25820*p ^89*q^944+1327658*p^87*q^946+20602554*p^85*q^948+355692680*p^83*q^950+ 5163225578*p^81*q^952+53267890260*p^79*q^954+224502953803*p^77*q^956+ 190191442766*p^75*q^958+37574108167*p^73*q^960+3539594934*p^71*q^962+253830255* p^69*q^964+13910528*p^67*q^966+520100*p^65*q^968+19074*p^63*q^970+48*p^61*q^972 +432*p^92*q^940+332*p^90*q^942+210450*p^88*q^944+3718362*p^86*q^946+83208565*p^ 84*q^948+1295038414*p^82*q^950+16672022670*p^80*q^952+124025152924*p^78*q^954+ 259268169426*p^76*q^956+101510148776*p^74*q^958+12979771139*p^72*q^960+ 1030870000*p^70*q^962+67105595*p^68*q^964+3619292*p^66*q^966+62818*p^64*q^968+ 6356*p^62*q^970+8*p^60*q^972+4152*p^91*q^940+12252*p^89*q^942+1324820*p^87*q^ 944+17244650*p^85*q^946+306802700*p^83*q^948+4498917358*p^81*q^950+48238415006* p^79*q^952+215280941744*p^77*q^954+202598075773*p^75*q^956+42075363770*p^73*q^ 958+4075602494*p^71*q^960+290723798*p^69*q^962+15952828*p^67*q^964+736770*p^65* q^966+13792*p^63*q^968+708*p^61*q^970+252*p^92*q^938+1204*p^90*q^940+171578*p^ 88*q^942+3494782*p^86*q^944+71614750*p^84*q^946+1128010970*p^82*q^948+ 14617120716*p^80*q^950+115103684251*p^78*q^952+259865736884*p^76*q^954+ 112088659489*p^74*q^956+14806603922*p^72*q^958+1205241864*p^70*q^960+80925152*p ^68*q^962+4356226*p^66*q^964+95606*p^64*q^966+8738*p^62*q^968+3496*p^91*q^938+ 6556*p^89*q^940+1012914*p^87*q^942+14082096*p^85*q^944+262636554*p^83*q^946+ 3914337826*p^81*q^948+42841093648*p^79*q^950+208026580880*p^77*q^952+ 212631706390*p^75*q^954+47616692815*p^73*q^956+4686428936*p^71*q^958+338017878* p^69*q^960+18692822*p^67*q^962+918582*p^65*q^964+9664*p^63*q^966+1052*p^61*q^ 968+20*p^92*q^936+7204*p^90*q^938+105228*p^88*q^940+3479554*p^86*q^942+60465824 *p^84*q^944+967924412*p^82*q^946+12882404969*p^80*q^948+105357848942*p^78*q^950 +263068692748*p^76*q^952+122019222552*p^74*q^954+16935998192*p^72*q^956+ 1385279442*p^70*q^958+93103940*p^68*q^960+4823528*p^66*q^962+132542*p^64*q^964+ 4450*p^62*q^966+32*p^60*q^968+2348*p^91*q^936+3552*p^89*q^938+791378*p^87*q^940 +11500312*p^85*q^942+228479539*p^83*q^944+3396268472*p^81*q^946+38494049743*p^ 79*q^948+197570121466*p^77*q^950+224725564190*p^75*q^952+53072715082*p^73*q^954 +5394276706*p^71*q^956+389463532*p^69*q^958+23103240*p^67*q^960+1142008*p^65*q^ 962+14070*p^63*q^964+2288*p^61*q^966+12092*p^90*q^936+62794*p^88*q^938+3346875* p^86*q^940+51677030*p^84*q^942+838529803*p^82*q^944+11281214416*p^80*q^946+ 97016091050*p^78*q^948+260848297980*p^76*q^950+133714176019*p^74*q^952+ 19228911102*p^72*q^954+1614523802*p^70*q^956+108226296*p^68*q^958+5219236*p^66* q^960+194136*p^64*q^962+1888*p^62*q^964+120*p^60*q^966+828*p^91*q^934+10848*p^ 89*q^936+623996*p^87*q^938+9951930*p^85*q^940+196092944*p^83*q^942+2955421671*p ^81*q^944+34051208416*p^79*q^946+188671805570*p^77*q^948+233494024380*p^75*q^ 950+59865847248*p^73*q^952+6206803982*p^71*q^954+453931291*p^69*q^956+28222812* p^67*q^958+1526652*p^65*q^960+19534*p^63*q^962+2078*p^61*q^964+4*p^92*q^932+ 12328*p^90*q^934+32034*p^88*q^936+2812968*p^86*q^938+42674782*p^84*q^940+ 715912256*p^82*q^942+9890812783*p^80*q^944+88088364668*p^78*q^946+260937019488* p^76*q^948+144604432596*p^74*q^950+21955366486*p^72*q^952+1849528534*p^70*q^954 +124852722*p^68*q^956+5929642*p^66*q^958+221092*p^64*q^960+1288*p^62*q^962+268* p^60*q^964+40*p^91*q^932+21608*p^89*q^934+401644*p^87*q^936+9194068*p^85*q^938+ 169015650*p^83*q^940+2565007522*p^81*q^942+30473075668*p^79*q^944+177743297422* p^77*q^946+244089900432*p^75*q^948+66339808414*p^73*q^950+7131340040*p^71*q^952 +524339474*p^69*q^954+32736032*p^67*q^956+1596362*p^65*q^958+31280*p^63*q^960+ 426*p^61*q^962+8*p^59*q^964+8306*p^90*q^932+36664*p^88*q^934+2526148*p^86*q^936 +35860678*p^84*q^938+625188712*p^82*q^940+8629504418*p^80*q^942+80599619671*p^ 78*q^944+255942902782*p^76*q^946+157018381046*p^74*q^948+24908073248*p^72*q^950 +2155599287*p^70*q^952+145008286*p^68*q^954+7724980*p^66*q^956+380772*p^64*q^ 958+2834*p^62*q^960+660*p^60*q^962+144*p^91*q^930+35020*p^89*q^932+269570*p^87* q^934+8408622*p^85*q^936+144755988*p^83*q^938+2221000653*p^81*q^940+26820071132 *p^79*q^942+168004512707*p^77*q^944+251213686410*p^75*q^946+74458995710*p^73*q^ 948+8171356700*p^71*q^950+613449096*p^69*q^952+39346128*p^67*q^954+1684434*p^65 *q^956+36504*p^63*q^958+44*p^61*q^960+8*p^59*q^962+1940*p^90*q^930+35874*p^88*q ^932+1886460*p^86*q^934+29325726*p^84*q^936+530274504*p^82*q^938+7548099419*p^ 80*q^940+72578281152*p^78*q^942+253597122547*p^76*q^944+168424870650*p^74*q^946 +28280231845*p^72*q^948+2474382342*p^70*q^950+165543888*p^68*q^952+8801456*p^66 *q^954+452732*p^64*q^956+3186*p^62*q^958+108*p^60*q^960+12*p^91*q^928+38932*p^ 89*q^930+194284*p^87*q^932+7818730*p^85*q^934+125035306*p^83*q^936+1931175840*p ^81*q^938+23913567934*p^79*q^940+156708676506*p^77*q^942+259880493800*p^75*q^ 944+82136859474*p^73*q^946+9398001119*p^71*q^948+707116030*p^69*q^950+45615953* p^67*q^952+1992606*p^65*q^954+62456*p^63*q^956+364*p^61*q^958+112*p^59*q^960+ 1786*p^90*q^928+58512*p^88*q^930+1487516*p^86*q^932+25793722*p^84*q^934+ 461990322*p^82*q^936+6572975546*p^80*q^938+65945675128*p^78*q^940+245682908086* p^76*q^942+181650896258*p^74*q^944+31963326944*p^72*q^946+2872918777*p^70*q^948 +194381574*p^68*q^950+11404986*p^66*q^952+525438*p^64*q^954+5748*p^62*q^956+ 20512*p^89*q^928+153534*p^87*q^930+6697546*p^85*q^932+104004556*p^83*q^934+ 1663565108*p^81*q^936+20962857058*p^79*q^938+146894702996*p^77*q^940+ 264406285882*p^75*q^942+91584143671*p^73*q^944+10752332560*p^71*q^946+824755448 *p^69*q^948+52498208*p^67*q^950+2202090*p^65*q^952+99230*p^63*q^954+144*p^61*q^ 956+22*p^59*q^958+532*p^90*q^926+98312*p^88*q^928+1041568*p^86*q^930+22818650*p ^84*q^932+396639010*p^82*q^934+5752053978*p^80*q^936+59077485544*p^78*q^938+ 240749103241*p^76*q^940+192784777144*p^74*q^942+36281877405*p^72*q^944+ 3287772590*p^70*q^946+224416610*p^68*q^948+13485014*p^66*q^950+579068*p^64*q^ 952+7088*p^62*q^954+24*p^60*q^956+8*p^58*q^958+13274*p^89*q^926+117912*p^87*q^ 928+5757952*p^85*q^930+87807277*p^83*q^932+1434631882*p^81*q^934+18555689995*p^ 79*q^936+135809009342*p^77*q^938+270859118409*p^75*q^940+100421070896*p^73*q^ 942+12330844246*p^71*q^944+955908542*p^69*q^946+60448630*p^67*q^948+2780276*p^ 65*q^950+126124*p^63*q^952+636*p^61*q^954+54*p^90*q^924+91242*p^88*q^926+827932 *p^86*q^928+20388786*p^84*q^930+345053148*p^82*q^932+5007238812*p^80*q^934+ 53420101180*p^78*q^936+231131182040*p^76*q^938+206095371311*p^74*q^940+ 40755134496*p^72*q^942+3813131597*p^70*q^944+260834296*p^68*q^946+16169894*p^66 *q^948+593540*p^64*q^950+15192*p^62*q^952+2*p^58*q^956+4*p^91*q^922+7510*p^89*q ^924+175068*p^87*q^926+4620272*p^85*q^928+74753330*p^83*q^930+1241622726*p^81*q ^932+16223140076*p^79*q^934+125942687505*p^77*q^936+272488461842*p^75*q^938+ 111251270686*p^73*q^940+14085341516*p^71*q^942+1116134441*p^69*q^944+70618382*p ^67*q^946+3649219*p^65*q^948+179070*p^63*q^950+884*p^61*q^952+2*p^94*q^918+52*p ^90*q^922+69734*p^88*q^924+558266*p^86*q^926+17967854*p^84*q^928+291924366*p^82 *q^930+4343530381*p^80*q^932+47532616520*p^78*q^934+223990852141*p^76*q^936+ 216982992104*p^74*q^938+46140289623*p^72*q^940+4372743332*p^70*q^942+302558878* p^68*q^944+18518772*p^66*q^946+612128*p^64*q^948+19156*p^62*q^950+28*p^60*q^952 +1914*p^89*q^922+216984*p^87*q^924+3656750*p^85*q^926+63776844*p^83*q^928+ 1071467794*p^81*q^930+14366550910*p^79*q^932+115599777364*p^77*q^934+ 275907264600*p^75*q^936+121143915850*p^73*q^938+16084264396*p^71*q^940+ 1275443454*p^69*q^942+80559580*p^67*q^944+4379930*p^65*q^946+173958*p^63*q^948+ 1390*p^61*q^950+116*p^90*q^920+52552*p^88*q^922+498752*p^86*q^924+16084784*p^84 *q^926+252997386*p^82*q^928+3785879228*p^80*q^930+42663675268*p^78*q^932+ 212883274110*p^76*q^934+229533909887*p^74*q^936+51638787110*p^72*q^938+ 5078036067*p^70*q^940+360094504*p^68*q^942+22234186*p^66*q^944+871184*p^64*q^ 946+42862*p^62*q^948+120*p^60*q^950+30*p^93*q^916+1424*p^89*q^920+230168*p^87*q ^922+2824088*p^85*q^924+55201800*p^83*q^926+926196613*p^81*q^928+12489974250*p^ 79*q^930+106506271141*p^77*q^932+274549540610*p^75*q^934+133222871534*p^73*q^ 936+18345660732*p^71*q^938+1484972802*p^69*q^940+92741482*p^67*q^942+5418764*p^ 65*q^944+164678*p^63*q^946+1752*p^61*q^948+16*p^90*q^918+23002*p^88*q^920+ 448538*p^86*q^922+13238556*p^84*q^924+211844404*p^82*q^926+3274435953*p^80*q^ 928+37800602358*p^78*q^930+204034762018*p^76*q^932+239453260360*p^74*q^934+ 58156967690*p^72*q^936+5798085826*p^70*q^938+414532877*p^68*q^940+25153232*p^66 *q^942+1011764*p^64*q^944+45662*p^62*q^946+60*p^60*q^948+1036*p^89*q^918+219016 *p^87*q^920+2209718*p^85*q^922+49381914*p^83*q^924+801043554*p^81*q^926+ 11035818686*p^79*q^928+96894040522*p^77*q^930+275288886087*p^75*q^932+ 143935535608*p^73*q^934+20912356908*p^71*q^936+1708789964*p^69*q^938+108909220* p^67*q^940+6431302*p^65*q^942+193848*p^63*q^944+6500*p^61*q^946+8*p^59*q^948+ 184*p^92*q^914+16324*p^88*q^918+524804*p^86*q^920+11275754*p^84*q^922+181557408 *p^82*q^924+2840563474*p^80*q^926+33772020117*p^78*q^928+191910323584*p^76*q^ 930+250661497847*p^74*q^932+64839562410*p^72*q^934+6725946187*p^70*q^936+ 485109006*p^68*q^938+29013348*p^66*q^940+1416178*p^64*q^942+47774*p^62*q^944+84 *p^60*q^946+568*p^89*q^916+145790*p^87*q^918+1699728*p^85*q^920+42484332*p^83*q ^922+690462367*p^81*q^924+9580212968*p^79*q^926+88616964117*p^77*q^928+ 270717170814*p^75*q^930+157278049227*p^73*q^932+23751726468*p^71*q^934+ 1984331450*p^69*q^936+127407248*p^67*q^938+7857348*p^65*q^940+212332*p^63*q^942 +9770*p^61*q^944+54*p^92*q^912+4*p^90*q^914+8122*p^88*q^916+592828*p^86*q^918+ 9052604*p^84*q^920+155444732*p^82*q^922+2459910179*p^80*q^924+29770380570*p^78* q^926+182277341255*p^76*q^928+258428334578*p^74*q^930+72591369556*p^72*q^932+ 7672933742*p^70*q^934+560683341*p^68*q^936+32914402*p^66*q^938+1632974*p^64*q^ 940+54360*p^62*q^942+524*p^60*q^944+594*p^91*q^912+72*p^89*q^914+106370*p^87*q^ 916+1397710*p^85*q^918+37094866*p^83*q^920+590430476*p^81*q^922+8417744820*p^79 *q^924+80064759198*p^77*q^926+268602070708*p^75*q^928+168584897932*p^73*q^930+ 27081712446*p^71*q^932+2290124818*p^69*q^934+149954774*p^67*q^936+9007216*p^65* q^938+306104*p^63*q^940+9016*p^61*q^942+6172*p^88*q^914+540100*p^86*q^916+ 7435986*p^84*q^918+135532127*p^82*q^920+2133839770*p^80*q^922+26491301325*p^78* q^924+169956356358*p^76*q^926+268089924663*p^74*q^928+80302779488*p^72*q^930+ 8843075039*p^70*q^932+647033826*p^68*q^934+38001959*p^66*q^936+2159024*p^64*q^ 938+47240*p^62*q^940+1632*p^60*q^942+642*p^91*q^910+88*p^89*q^912+65084*p^87*q^ 914+1458696*p^85*q^916+31717016*p^83*q^918+506083881*p^81*q^920+7307350216*p^79 *q^922+72640757616*p^77*q^924+261158323598*p^75*q^926+182591472993*p^73*q^928+ 30662919206*p^71*q^930+2669745042*p^69*q^932+178653290*p^67*q^934+10587604*p^65 *q^936+384856*p^63*q^938+16730*p^61*q^940+16*p^59*q^942+1088*p^90*q^910+2482*p^ 88*q^912+457378*p^86*q^914+5608218*p^84*q^916+115574846*p^82*q^918+1845941566*p ^80*q^920+23238652754*p^78*q^922+159678864491*p^76*q^924+273732127688*p^74*q^ 926+89627781910*p^72*q^928+10085941868*p^70*q^930+747842963*p^68*q^932+43069834 *p^66*q^934+2640696*p^64*q^936+52982*p^62*q^938+788*p^60*q^940+44*p^91*q^908+12 *p^89*q^910+39996*p^87*q^912+1382912*p^85*q^914+27027340*p^83*q^916+434907662*p ^81*q^918+6390962159*p^79*q^920+65289868052*p^77*q^922+256178945859*p^75*q^924+ 193938124824*p^73*q^926+34788552709*p^71*q^928+3056447870*p^69*q^930+205751518* p^67*q^932+11786434*p^65*q^934+460138*p^63*q^936+13604*p^61*q^938+172*p^59*q^ 940+3036*p^90*q^908+1348*p^88*q^910+362534*p^86*q^912+4952586*p^84*q^914+ 101515368*p^82*q^916+1595476606*p^80*q^918+20650568833*p^78*q^920+147642273904* p^76*q^922+280445714436*p^74*q^924+98647727676*p^72*q^926+11635278613*p^70*q^ 928+874734470*p^68*q^930+52781968*p^66*q^932+3294680*p^64*q^934+88032*p^62*q^ 936+3438*p^60*q^938+44*p^91*q^906+1256*p^89*q^908+29168*p^87*q^910+1386666*p^85 *q^912+22085324*p^83*q^914+373921317*p^81*q^916+5533895148*p^79*q^918+ 58789745045*p^77*q^920+246595143160*p^75*q^922+208095170195*p^73*q^924+ 39227789380*p^71*q^926+3552086508*p^69*q^928+239292192*p^67*q^930+13163632*p^65 *q^932+669950*p^63*q^934+9264*p^61*q^936+24*p^59*q^938+952*p^90*q^906+494*p^88* q^908+220472*p^86*q^910+3954450*p^84*q^912+86748306*p^82*q^914+1370453572*p^80* q^916+18022885762*p^78*q^918+137679400254*p^76*q^920+283396997076*p^74*q^922+ 109257610222*p^72*q^924+13250861290*p^70*q^926+1010741938*p^68*q^928+61469130*p ^66*q^930+3682665*p^64*q^932+74838*p^62*q^934+4092*p^60*q^936+8*p^58*q^938+7326 *p^89*q^906+14732*p^87*q^908+1316046*p^85*q^910+18740518*p^83*q^912+321817892*p ^81*q^914+4847102861*p^79*q^916+52551179488*p^77*q^918+239302846771*p^75*q^920+ 219147431610*p^73*q^922+44319654488*p^71*q^924+4069820400*p^69*q^926+276606187* p^67*q^928+14770856*p^65*q^930+900251*p^63*q^932+17268*p^61*q^934+336*p^59*q^ 936+576*p^90*q^904+1800*p^88*q^906+183056*p^86*q^908+3728140*p^84*q^910+ 75234396*p^82*q^912+1187750258*p^80*q^914+15930956304*p^78*q^916+125977262238*p ^76*q^918+287583741388*p^74*q^920+119447441646*p^72*q^922+15257577067*p^70*q^ 924+1177077280*p^68*q^926+74544060*p^66*q^928+4419870*p^64*q^930+132178*p^62*q^ 932+2400*p^60*q^934+6312*p^89*q^904+8188*p^87*q^906+995740*p^85*q^908+15100630* p^83*q^910+275987676*p^81*q^912+4174706540*p^79*q^914+47091713841*p^77*q^916+ 227926044698*p^75*q^918+232874580999*p^73*q^920+49780839116*p^71*q^922+ 4708398435*p^69*q^924+322085914*p^67*q^926+17016557*p^65*q^928+1076964*p^63*q^ 930+12402*p^61*q^932+920*p^59*q^934+102*p^90*q^902+10168*p^88*q^904+116236*p^86 *q^906+3645790*p^84*q^908+63830458*p^82*q^910+1023233717*p^80*q^912+13900223632 *p^78*q^914+116527566380*p^76*q^916+286800931036*p^74*q^918+131560616603*p^72*q ^920+17322420382*p^70*q^922+1363893518*p^68*q^924+85395528*p^66*q^926+4808298*p ^64*q^928+195214*p^62*q^930+2648*p^60*q^932+8*p^58*q^934+3708*p^89*q^902+6590*p ^87*q^904+803218*p^85*q^906+12327524*p^83*q^908+238156678*p^81*q^910+3638830415 *p^79*q^912+41823832942*p^77*q^914+218930732539*p^75*q^916+242878035722*p^73*q^ 918+56085080902*p^71*q^920+5401599908*p^69*q^922+374192246*p^67*q^924+20827288* p^65*q^926+1294492*p^63*q^928+17508*p^61*q^930+544*p^59*q^932+19314*p^88*q^902+ 73218*p^86*q^904+3320674*p^84*q^906+55109078*p^82*q^908+882204388*p^80*q^910+ 12246979732*p^78*q^912+106004083064*p^76*q^914+288079894745*p^74*q^916+ 142450369786*p^72*q^918+19854294608*p^70*q^920+1580905842*p^68*q^922+100182848* p^66*q^924+4980244*p^64*q^926+283498*p^62*q^928+2668*p^60*q^930+128*p^58*q^932+ 1874*p^89*q^900+13848*p^87*q^902+628304*p^85*q^904+10860930*p^83*q^906+ 205386514*p^81*q^908+3140571488*p^79*q^910+37305017150*p^77*q^912+206363611940* p^75*q^914+255455628205*p^73*q^916+62667094256*p^71*q^918+6269691355*p^69*q^920 +435056540*p^67*q^922+25354325*p^65*q^924+1723062*p^63*q^926+31542*p^61*q^928+ 456*p^59*q^930+40*p^90*q^898+15232*p^88*q^900+43752*p^86*q^902+2844987*p^84*q^ 904+44905134*p^82*q^906+755206236*p^80*q^908+10631981314*p^78*q^910+97048413491 *p^76*q^912+284470680584*p^74*q^914+155919127548*p^72*q^916+22503420622*p^70*q^ 918+1822748902*p^68*q^920+116505842*p^66*q^922+5466288*p^64*q^924+307526*p^62*q ^926+1180*p^60*q^928+68*p^58*q^930+152*p^89*q^898+32556*p^87*q^900+436238*p^85* q^902+9619448*p^83*q^904+177648098*p^81*q^906+2738479558*p^79*q^908+32998108120 *p^77*q^910+196420643079*p^75*q^912+263765662988*p^73*q^914+70182929310*p^71*q^ 916+7151093444*p^69*q^918+507076552*p^67*q^920+29115080*p^65*q^922+1757536*p^63 *q^924+55682*p^61*q^926+460*p^59*q^928+8*p^57*q^930+12878*p^88*q^898+47384*p^86 *q^900+2454390*p^84*q^902+38524088*p^82*q^904+654438962*p^80*q^906+9337098531*p ^78*q^908+87737034330*p^76*q^910+281991198533*p^74*q^912+167555208230*p^72*q^ 914+25770445657*p^70*q^916+2121320430*p^68*q^918+136350982*p^66*q^920+6892318*p ^64*q^922+498398*p^62*q^924+3826*p^60*q^926+88*p^58*q^928+628*p^89*q^896+40076* p^87*q^898+299626*p^85*q^900+8773650*p^83*q^902+151795696*p^81*q^904+2354940136 *p^79*q^906+29291505037*p^77*q^908+183242492718*p^75*q^910+274632988622*p^73*q^ 912+78073354702*p^71*q^914+8267131866*p^69*q^916+589170244*p^67*q^918+35433949* p^65*q^920+1798930*p^63*q^922+71252*p^61*q^924+16*p^59*q^926+4*p^57*q^928+3410* p^88*q^896+50698*p^86*q^898+1912758*p^84*q^900+31337432*p^82*q^902+559247993*p^ 80*q^904+8083986774*p^78*q^906+79812460037*p^76*q^908+275767921678*p^74*q^910+ 181588566354*p^72*q^912+29068904396*p^70*q^914+2447715662*p^68*q^916+156014074* p^66*q^918+7670356*p^64*q^920+590556*p^62*q^922+6218*p^60*q^924+36*p^58*q^926+ 84*p^89*q^894+46660*p^87*q^896+232408*p^85*q^898+7875052*p^83*q^900+131283796*p ^81*q^902+2050836190*p^79*q^904+25822085028*p^77*q^906+172757110101*p^75*q^908+ 280452919526*p^73*q^910+87022176246*p^71*q^912+9453004524*p^69*q^914+685153098* p^67*q^916+41610662*p^65*q^918+1927796*p^63*q^920+101104*p^61*q^922+288*p^59*q^ 924+8*p^57*q^926+4364*p^88*q^894+74810*p^86*q^896+1517894*p^84*q^898+27699284*p ^82*q^900+483238750*p^80*q^902+7090779329*p^78*q^904+71555894004*p^76*q^906+ 270565089041*p^74*q^908+193680294540*p^72*q^910+33146599244*p^70*q^912+ 2830140146*p^68*q^914+184153952*p^66*q^916+9784114*p^64*q^918+705666*p^62*q^920 +15032*p^60*q^922+26010*p^87*q^894+186298*p^85*q^896+6667474*p^83*q^898+ 109851634*p^81*q^900+1758364764*p^79*q^902+22810436144*p^77*q^904+159784042292* p^75*q^906+288920664827*p^73*q^908+96096382784*p^71*q^910+10904728654*p^69*q^ 912+797358826*p^67*q^914+48340836*p^65*q^916+1998862*p^63*q^918+152052*p^61*q^ 920+292*p^59*q^922+1900*p^88*q^892+103160*p^86*q^894+1119656*p^84*q^896+ 24001898*p^82*q^898+417737694*p^80*q^900+6137038878*p^78*q^902+64729227239*p^76 *q^904+261213407334*p^74*q^906+208152807570*p^72*q^908+37333013452*p^70*q^910+ 3265502290*p^68*q^912+211680540*p^66*q^914+11811899*p^64*q^916+714104*p^62*q^ 918+16068*p^60*q^920+8*p^58*q^922+20108*p^87*q^892+172170*p^85*q^894+5733482*p^ 83*q^896+93166962*p^81*q^898+1519844574*p^79*q^900+19988771778*p^77*q^902+ 149305184832*p^75*q^904+291928039570*p^73*q^906+106546945022*p^71*q^908+ 12428350138*p^69*q^910+928917025*p^67*q^912+55960208*p^65*q^914+2328725*p^63*q^ 916+214470*p^61*q^918+1860*p^59*q^920+288*p^88*q^890+99382*p^86*q^892+901670*p^ 84*q^894+21228272*p^82*q^896+360758950*p^80*q^898+5376670244*p^78*q^900+ 57827027810*p^76*q^902+253846734210*p^74*q^904+219589478740*p^72*q^906+ 42390745709*p^70*q^908+3767044876*p^68*q^910+248891560*p^66*q^912+14321752*p^64 *q^914+667734*p^62*q^916+28422*p^60*q^918+40*p^89*q^888+16884*p^87*q^890+195214 *p^85*q^892+4649930*p^83*q^894+79421445*p^81*q^896+1308360802*p^79*q^898+ 17601671897*p^77*q^900+136727078766*p^75*q^902+297478305315*p^73*q^904+ 116789251404*p^71*q^906+14316971883*p^69*q^908+1081286886*p^67*q^910+65536550*p ^65*q^912+3005184*p^63*q^914+287804*p^61*q^916+2944*p^59*q^918+180*p^88*q^888+ 72968*p^86*q^890+692784*p^84*q^892+18320308*p^82*q^894+306968162*p^80*q^896+ 4625580114*p^78*q^898+51888147914*p^76*q^900+242832858848*p^74*q^902+ 234115975305*p^72*q^904+47553555358*p^70*q^906+4352950230*p^68*q^908+287315298* p^66*q^910+16730476*p^64*q^912+614062*p^62*q^914+40360*p^60*q^916+72*p^58*q^918 +4824*p^87*q^888+233158*p^85*q^890+3750238*p^83*q^892+67548522*p^81*q^894+ 1134463150*p^79*q^896+15422876744*p^77*q^898+126684129745*p^75*q^900+ 297172304808*p^73*q^902+128674009092*p^71*q^904+16242319824*p^69*q^906+ 1244231263*p^67*q^908+75008208*p^65*q^910+3683456*p^63*q^912+262536*p^61*q^914+ 3414*p^59*q^916+504*p^88*q^886+80060*p^86*q^888+610204*p^84*q^890+16165313*p^82 *q^892+266188056*p^80*q^894+4043949309*p^78*q^896+46079205484*p^76*q^898+ 233160776709*p^74*q^900+244759763384*p^72*q^902+53769818071*p^70*q^904+ 5027138680*p^68*q^906+344240752*p^66*q^908+20146722*p^64*q^910+700831*p^62*q^ 912+89078*p^60*q^914+504*p^58*q^916+3152*p^87*q^886+211004*p^85*q^888+3012484*p ^83*q^890+58767462*p^81*q^892+971127306*p^79*q^894+13518799531*p^77*q^896+ 115282663928*p^75*q^898+299159483789*p^73*q^900+139992070934*p^71*q^902+ 18707987261*p^69*q^904+1443608076*p^67*q^906+86517038*p^65*q^908+4642372*p^63*q ^910+270581*p^61*q^912+4280*p^59*q^914+72*p^88*q^884+40180*p^86*q^886+527600*p^ 84*q^888+13321208*p^82*q^890+222796606*p^80*q^892+3477029498*p^78*q^894+ 41170159277*p^76*q^896+220719088844*p^74*q^898+258133863768*p^72*q^900+ 60074709978*p^70*q^902+5781487041*p^68*q^904+395288188*p^66*q^906+23049684*p^64 *q^908+796208*p^62*q^910+87116*p^60*q^912+196*p^58*q^914+2998*p^87*q^884+240166 *p^85*q^886+2517474*p^83*q^888+51217754*p^81*q^890+847103703*p^79*q^892+ 11805947848*p^77*q^894+105987871275*p^75*q^896+296098863670*p^73*q^898+ 152896008560*p^71*q^900+21170988584*p^69*q^902+1673412225*p^67*q^904+101750188* p^65*q^906+5612690*p^63*q^908+217878*p^61*q^910+17720*p^59*q^912+40*p^57*q^914+ 26652*p^86*q^884+538200*p^84*q^886+11405888*p^82*q^888+192534102*p^80*q^890+ 3026837287*p^78*q^892+36344718754*p^76*q^894+209970049896*p^74*q^896+ 267002932664*p^72*q^898+67605209112*p^70*q^900+6675777918*p^68*q^902+465852234* p^66*q^904+26585588*p^64*q^906+1119160*p^62*q^908+114308*p^60*q^910+230*p^58*q^ 912+1788*p^87*q^882+193514*p^85*q^884+1941192*p^83*q^886+43788834*p^81*q^888+ 723648696*p^79*q^890+10327242251*p^77*q^892+95645048382*p^75*q^894+294917370000 *p^73*q^896+165296731452*p^71*q^898+24255521073*p^69*q^900+1932320502*p^67*q^ 902+120057397*p^65*q^904+6945900*p^63*q^906+175580*p^61*q^908+22764*p^59*q^910+ 4*p^88*q^880+15988*p^86*q^882+557766*p^84*q^884+9462578*p^82*q^886+164887523*p^ 80*q^888+2603102290*p^78*q^890+32337120669*p^76*q^892+196627553650*p^74*q^894+ 278829976695*p^72*q^896+75018362146*p^70*q^898+7672720649*p^68*q^900+537598166* p^66*q^902+30044114*p^64*q^904+1329802*p^62*q^906+115819*p^60*q^908+1868*p^58*q ^910+292*p^87*q^880+138046*p^85*q^882+1641866*p^83*q^884+37696372*p^81*q^886+ 622327799*p^79*q^888+8989769216*p^77*q^890+87278711482*p^75*q^892+288316552854* p^73*q^894+179359550677*p^71*q^896+27464127766*p^69*q^898+2246476350*p^67*q^900 +140604624*p^65*q^902+8236400*p^63*q^904+223946*p^61*q^906+29027*p^59*q^908+ 14688*p^86*q^880+588550*p^84*q^882+7915178*p^82*q^884+142439480*p^80*q^886+ 2268692828*p^78*q^888+28462254566*p^76*q^890+185446149237*p^74*q^892+ 285205015760*p^72*q^894+83935291015*p^70*q^896+8792332860*p^68*q^898+623635408* p^66*q^900+34996150*p^64*q^902+1761150*p^62*q^904+72624*p^60*q^906+4800*p^58*q^ 908+228*p^87*q^878+94036*p^85*q^880+1494062*p^83*q^882+32553246*p^81*q^884+ 532945546*p^79*q^886+7845410318*p^77*q^888+78285862922*p^75*q^890+283900921920* p^73*q^892+191785685374*p^71*q^894+31410671734*p^69*q^896+2605149682*p^67*q^898 +169304642*p^65*q^900+9509864*p^63*q^902+286542*p^61*q^904+52022*p^59*q^906+72* p^57*q^908+36*p^88*q^876+5792*p^86*q^878+501278*p^84*q^880+6241158*p^82*q^882+ 120784581*p^80*q^884+1944793954*p^78*q^886+25162997404*p^76*q^888+172072470004* p^74*q^890+294991675815*p^72*q^892+92701801548*p^70*q^894+10115205044*p^68*q^ 896+718358532*p^66*q^898+39613500*p^64*q^900+2293526*p^62*q^902+49784*p^60*q^ 904+3652*p^58*q^906+12*p^87*q^876+71102*p^85*q^878+1422426*p^83*q^880+27647126* p^81*q^882+460556767*p^79*q^884+6806361276*p^77*q^886+70972130523*p^75*q^888+ 274955846488*p^73*q^890+206273738348*p^71*q^892+35324148500*p^69*q^894+ 3005217049*p^67*q^896+194683348*p^65*q^898+10696800*p^63*q^900+334200*p^61*q^ 902+41470*p^59*q^904+684*p^57*q^906+3280*p^86*q^876+430796*p^84*q^878+5432498*p ^82*q^880+105619736*p^80*q^882+1691125876*p^78*q^884+22115178492*p^76*q^886+ 160683025911*p^74*q^888+298391026496*p^72*q^890+103162875631*p^70*q^892+ 11595099068*p^68*q^894+845855902*p^66*q^896+48768386*p^64*q^898+2934308*p^62*q^ 900+60516*p^60*q^902+14042*p^58*q^904+452*p^87*q^874+49812*p^85*q^876+1413128*p ^83*q^878+23144836*p^81*q^880+393170410*p^79*q^882+5922871950*p^77*q^884+ 63185507160*p^75*q^886+267491809609*p^73*q^888+218843193184*p^71*q^890+ 40231281334*p^69*q^892+3477051730*p^67*q^894+227707024*p^65*q^896+11785830*p^63 *q^898+502140*p^61*q^900+28482*p^59*q^902+156*p^57*q^904+12*p^88*q^872+1056*p^ 86*q^874+289290*p^84*q^876+4254664*p^82*q^878+89859094*p^80*q^880+1445495008*p^ 78*q^882+19472562761*p^76*q^884+147959597116*p^74*q^886+305163727744*p^72*q^888 +113132844756*p^70*q^890+13317388726*p^68*q^892+970638502*p^66*q^894+57425860*p ^64*q^896+3328142*p^62*q^898+48986*p^60*q^900+16436*p^58*q^902+44*p^56*q^904+72 *p^87*q^872+27872*p^85*q^874+1394996*p^83*q^876+19885844*p^81*q^878+339087108*p ^79*q^880+5142861908*p^77*q^882+57005194425*p^75*q^884+256302994780*p^73*q^886+ 232951148799*p^71*q^888+45130419704*p^69*q^890+4010117504*p^67*q^892+263666298* p^65*q^894+13259991*p^63*q^896+743896*p^61*q^898+15186*p^59*q^900+2000*p^57*q^ 902+8*p^88*q^870+2600*p^86*q^872+253106*p^84*q^874+3910784*p^82*q^876+77442464* p^80*q^878+1257980826*p^78*q^880+17025285234*p^76*q^882+136900584802*p^74*q^884 +305549736822*p^72*q^886+125076683442*p^70*q^888+15225266202*p^68*q^890+ 1140969578*p^66*q^892+69506324*p^64*q^894+3943064*p^62*q^896+81282*p^60*q^898+ 17702*p^58*q^900+126*p^87*q^870+15444*p^85*q^872+1094642*p^83*q^874+16219242*p^ 81*q^876+289919020*p^79*q^878+4457449520*p^77*q^880+50482513966*p^75*q^882+ 247048654200*p^73*q^884+244708771546*p^71*q^886+51116405594*p^69*q^888+ 4621378786*p^67*q^890+306429647*p^65*q^892+15439704*p^63*q^894+933622*p^61*q^ 896+7926*p^59*q^898+4022*p^57*q^900+12*p^88*q^868+1708*p^86*q^870+169362*p^84*q ^872+3761988*p^82*q^874+66453209*p^80*q^876+1076164596*p^78*q^878+14960952225*p ^76*q^880+124949371066*p^74*q^882+308734325396*p^72*q^884+136236179594*p^70*q^ 886+17457692315*p^68*q^888+1315274294*p^66*q^890+80870588*p^64*q^892+4209722*p^ 62*q^894+133736*p^60*q^896+9376*p^58*q^898+107*p^56*q^900+128*p^87*q^868+12000* p^85*q^870+929246*p^83*q^872+13209784*p^81*q^874+249624414*p^79*q^876+ 3853569578*p^77*q^878+45274128637*p^75*q^880+234025471842*p^73*q^882+ 258475735221*p^71*q^884+57135293696*p^69*q^886+5333279794*p^67*q^888+355192560* p^65*q^890+18924134*p^63*q^892+1165532*p^61*q^894+8934*p^59*q^896+6032*p^57*q^ 898+682*p^86*q^868+113412*p^84*q^870+3499048*p^82*q^872+57537250*p^80*q^874+ 933531576*p^78*q^876+13056340202*p^76*q^878+114840623489*p^74*q^880+ 305713032894*p^72*q^882+149300914728*p^70*q^884+19863029584*p^68*q^886+ 1536478442*p^66*q^888+94676896*p^64*q^890+4410766*p^62*q^892+212776*p^60*q^894+ 2138*p^58*q^896+616*p^56*q^898+172*p^87*q^866+15266*p^85*q^868+758358*p^83*q^ 870+11463468*p^81*q^872+213767800*p^79*q^874+3343749303*p^77*q^876+39914329424* p^75*q^878+223272123217*p^73*q^880+268168175016*p^71*q^882+64535633553*p^69*q^ 884+6156024052*p^67*q^886+416037752*p^65*q^888+23355520*p^63*q^890+1483142*p^61 *q^892+16796*p^59*q^894+6774*p^57*q^896+8*p^88*q^864+1060*p^86*q^866+68036*p^84 *q^868+2972276*p^82*q^870+47547506*p^80*q^872+795679824*p^78*q^874+11407689491* p^76*q^876+103951931744*p^74*q^878+305755799034*p^72*q^880+161507676918*p^70*q^ 882+22706551945*p^68*q^884+1764973064*p^66*q^886+109894312*p^64*q^888+4727824*p ^62*q^890+266748*p^60*q^892+558*p^58*q^894+932*p^56*q^896+26*p^87*q^864+4972*p^ 85*q^866+561786*p^83*q^868+10182712*p^81*q^870+185306204*p^79*q^872+2892023604* p^77*q^874+35610064116*p^75*q^876+209735914876*p^73*q^878+280605795958*p^71*q^ 880+71538179252*p^69*q^882+7088242468*p^67*q^884+482120832*p^65*q^886+27432092* p^63*q^888+1548100*p^61*q^890+32462*p^59*q^892+1320*p^57*q^894+46*p^55*q^896+ 1202*p^86*q^864+81400*p^84*q^866+2651820*p^82*q^868+40614844*p^80*q^870+ 690717520*p^78*q^872+9937501218*p^76*q^874+94822200431*p^74*q^876+299256711502* p^72*q^878+175637915088*p^70*q^880+25816989742*p^68*q^882+2062282634*p^66*q^884 +128755028*p^64*q^886+6093922*p^62*q^888+410028*p^60*q^890+1560*p^58*q^892+2866 *p^56*q^894+168*p^87*q^862+6070*p^85*q^864+384860*p^83*q^866+9169602*p^81*q^868 +158754290*p^79*q^870+2500848487*p^77*q^872+31272052428*p^75*q^874+197733586040 *p^73*q^876+288393037152*p^71*q^878+80483816911*p^69*q^880+8136162172*p^67*q^ 882+565768081*p^65*q^884+33245514*p^63*q^886+1532760*p^61*q^888+52030*p^59*q^ 890+16*p^57*q^892+44*p^55*q^894+560*p^86*q^862+43048*p^84*q^864+2152902*p^82*q^ 866+33211100*p^80*q^868+585341204*p^78*q^870+8656397412*p^76*q^872+85277741756* p^74*q^874+295919286684*p^72*q^876+188278440342*p^70*q^878+29397709508*p^68*q^ 880+2371668592*p^66*q^882+146828506*p^64*q^884+6951668*p^62*q^886+502512*p^60*q ^888+2562*p^58*q^890+1094*p^56*q^892+4*p^87*q^860+5974*p^85*q^862+342982*p^83*q ^864+8186226*p^81*q^866+137815028*p^79*q^868+2167201980*p^77*q^870+27806515329* p^75*q^872+184173428978*p^73*q^874+297989931573*p^71*q^876+88840710270*p^69*q^ 878+9377357336*p^67*q^880+654888174*p^65*q^882+39316020*p^63*q^884+1614810*p^61 *q^886+75944*p^59*q^888+100*p^57*q^890+614*p^55*q^892+1420*p^86*q^860+32686*p^ 84*q^862+1720760*p^82*q^864+29163780*p^80*q^866+508819757*p^78*q^868+7512536632 *p^76*q^870+77237305161*p^74*q^872+286640466628*p^72*q^874+203038147968*p^70*q^ 876+33283582874*p^68*q^878+2764810659*p^66*q^880+173350686*p^64*q^882+9025362*p ^62*q^884+605970*p^60*q^886+8300*p^58*q^888+4744*p^85*q^860+267876*p^83*q^862+ 7074384*p^81*q^864+115464796*p^79*q^866+1862387745*p^77*q^868+24306460254*p^75* q^870+172262240863*p^73*q^872+303204888082*p^71*q^874+99098359929*p^69*q^876+ 10750941610*p^67*q^878+765754209*p^65*q^880+45479302*p^63*q^882+1692426*p^61*q^ 884+115732*p^59*q^886+64*p^57*q^888+594*p^55*q^890+396*p^86*q^858+27368*p^84*q^ 860+1336660*p^82*q^862+25313966*p^80*q^864+437387440*p^78*q^866+6558657098*p^76 *q^868+68987735594*p^74*q^870+280268294830*p^72*q^872+215697236636*p^70*q^874+ 37811733136*p^68*q^876+3170313544*p^66*q^878+200604662*p^64*q^880+11035756*p^62 *q^882+587074*p^60*q^884+10692*p^58*q^886+4*p^56*q^888+52*p^54*q^890+7248*p^85* q^858+174306*p^83*q^860+6112218*p^81*q^862+98051198*p^79*q^864+1600176826*p^77* q^866+21462834947*p^75*q^868+158793765484*p^73*q^870+310390489146*p^71*q^872+ 108828831554*p^69*q^874+12357500310*p^67*q^876+890576482*p^65*q^878+52477476*p^ 63*q^880+2035148*p^61*q^882+175388*p^59*q^884+732*p^57*q^886+24*p^86*q^856+ 24482*p^84*q^858+1201826*p^82*q^860+22147122*p^80*q^862+379809488*p^78*q^864+ 5695176298*p^76*q^866+62269261314*p^74*q^868+268479315314*p^72*q^870+ 230477586717*p^70*q^872+42590930582*p^68*q^874+3679917833*p^66*q^876+234651554* p^64*q^878+13622294*p^62*q^880+539402*p^60*q^882+17028*p^58*q^884+184*p^54*q^ 888+8*p^87*q^854+5520*p^85*q^856+140902*p^83*q^858+4948906*p^81*q^860+83630544* p^79*q^862+1384411697*p^77*q^864+18717163960*p^75*q^866+147057141359*p^73*q^868 +311707594918*p^71*q^870+120693114092*p^69*q^872+14141912798*p^67*q^874+ 1043621340*p^65*q^876+61269018*p^63*q^878+2700174*p^61*q^880+229508*p^59*q^882+ 1716*p^57*q^884+36*p^86*q^854+28994*p^84*q^856+845434*p^82*q^858+19370532*p^80* q^860+321995612*p^78*q^862+4922144597*p^76*q^864+55262052784*p^74*q^866+ 260040534720*p^72*q^868+242457818592*p^70*q^870+48276753700*p^68*q^872+ 4230737946*p^66*q^874+272831048*p^64*q^876+15723136*p^62*q^878+493448*p^60*q^ 880+29802*p^58*q^882+16*p^56*q^884+828*p^85*q^854+102870*p^83*q^856+4320054*p^ 81*q^858+71098544*p^79*q^860+1191691996*p^77*q^862+16528917551*p^75*q^864+ 134664361960*p^73*q^866+315568274600*p^71*q^868+131388198604*p^69*q^870+ 16192164288*p^67*q^872+1195220528*p^65*q^874+70042017*p^63*q^876+3432858*p^61*q ^878+210120*p^59*q^880+1296*p^57*q^882+30*p^53*q^886+116*p^86*q^852+33972*p^84* q^854+702582*p^82*q^856+16805494*p^80*q^858+280570838*p^78*q^860+4275155220*p^ 76*q^862+49477967621*p^74*q^864+246570711864*p^72*q^866+256788712556*p^70*q^868 +54085770206*p^68*q^870+4925365277*p^66*q^872+326353164*p^64*q^874+19063776*p^ 62*q^876+592404*p^60*q^878+63872*p^58*q^880+228*p^56*q^882+854*p^85*q^852+ 110900*p^83*q^854+3517842*p^81*q^856+61677770*p^79*q^858+1025856580*p^77*q^860+ 14340764322*p^75*q^862+123727734536*p^73*q^864+313657372152*p^71*q^866+ 144658859822*p^69*q^868+18499193974*p^67*q^870+1394530453*p^65*q^872+80726758*p ^63*q^874+4350664*p^61*q^876+203196*p^59*q^878+2616*p^57*q^880+16*p^86*q^850+ 13296*p^84*q^852+465610*p^82*q^854+14128260*p^80*q^856+234452694*p^78*q^858+ 3695147816*p^76*q^860+43747506858*p^74*q^862+235933233344*p^72*q^864+ 267527597352*p^70*q^866+61048239759*p^68*q^868+5630637680*p^66*q^870+377749584* p^64*q^872+21521402*p^62*q^874+697532*p^60*q^876+65320*p^58*q^878+28*p^56*q^880 +2*p^52*q^884+756*p^85*q^850+127666*p^83*q^852+2916738*p^81*q^854+53812732*p^79 *q^856+890376290*p^77*q^858+12621324035*p^75*q^860+112419426948*p^73*q^862+ 314063542094*p^71*q^864+156358306032*p^69*q^866+21127266688*p^67*q^868+ 1608548060*p^65*q^870+95170272*p^63*q^872+5356288*p^61*q^874+173940*p^59*q^876+ 10900*p^57*q^878+12*p^55*q^880+9234*p^84*q^850+435412*p^82*q^852+12422888*p^80* q^854+202641607*p^78*q^856+3191457090*p^76*q^858+38986337345*p^74*q^860+ 221617356996*p^72*q^862+279967492712*p^70*q^864+68097023848*p^68*q^866+ 6548636081*p^66*q^868+444328944*p^64*q^870+24719802*p^62*q^872+1004964*p^60*q^ 874+81800*p^58*q^876+88*p^56*q^878+528*p^85*q^848+96240*p^83*q^850+2187296*p^81 *q^852+45692956*p^79*q^854+764720855*p^77*q^856+10938102482*p^75*q^858+ 102530871712*p^73*q^860+308791078202*p^71*q^862+170893797305*p^69*q^864+ 24044734354*p^67*q^866+1870187081*p^65*q^868+112215858*p^63*q^870+6662494*p^61* q^872+146956*p^59*q^874+14316*p^57*q^876+24*p^86*q^846+4959*p^84*q^848+406950*p ^82*q^850+10446358*p^80*q^852+173108970*p^78*q^854+2759121411*p^76*q^856+ 34297077124*p^74*q^858+210054918324*p^72*q^860+288705496060*p^70*q^862+ 76301884513*p^68*q^864+7483806748*p^66*q^866+514216282*p^64*q^868+27862856*p^62 *q^870+1236348*p^60*q^872+83946*p^58*q^874+944*p^56*q^876+56*p^85*q^846+64808*p ^83*q^848+1731458*p^81*q^850+39854564*p^79*q^852+654244472*p^77*q^854+ 9590509038*p^75*q^856+92409591462*p^73*q^858+305779194573*p^71*q^860+ 183312898558*p^69*q^862+27468004923*p^67*q^864+2161833400*p^65*q^866+132988610* p^63*q^868+7676826*p^61*q^870+189118*p^59*q^872+19024*p^57*q^874+4988*p^84*q^ 846+394810*p^82*q^848+8779488*p^80*q^850+149646934*p^78*q^852+2389525126*p^76*q ^854+30450964988*p^74*q^856+195479799774*p^72*q^858+299270856392*p^70*q^860+ 84583701916*p^68*q^862+8640608331*p^66*q^864+595829876*p^64*q^866+32087650*p^62 *q^868+1739042*p^60*q^870+58954*p^58*q^872+2408*p^56*q^874+8*p^87*q^842+344*p^ 85*q^844+41516*p^83*q^846+1519492*p^81*q^848+34535130*p^79*q^850+563452272*p^77 *q^852+8291655036*p^75*q^854+83767113182*p^73*q^856+296847676098*p^71*q^858+ 198457595732*p^69*q^860+31158266608*p^67*q^862+2525896839*p^65*q^864+159597978* p^63*q^866+8977010*p^61*q^868+240390*p^59*q^870+32832*p^57*q^872+28*p^55*q^874+ 8*p^86*q^842+1886*p^84*q^844+324334*p^82*q^846+6805142*p^80*q^848+126759310*p^ 78*q^850+2059160621*p^76*q^852+26653713418*p^74*q^854+183461815306*p^72*q^856+ 305252607794*p^70*q^858+94451236439*p^68*q^860+9878721614*p^66*q^862+689246082* p^64*q^864+36532812*p^62*q^866+2154292*p^60*q^868+43326*p^58*q^870+1984*p^56*q^ 872+4*p^87*q^840+44*p^85*q^842+27554*p^83*q^844+1259578*p^81*q^846+29896239*p^ 79*q^848+483707912*p^77*q^850+7238618867*p^75*q^852+75086346062*p^73*q^854+ 291263657420*p^71*q^856+210735421072*p^69*q^858+35391648139*p^67*q^860+ 2898662162*p^65*q^862+185215820*p^63*q^864+9796808*p^61*q^866+329474*p^59*q^868 +29596*p^57*q^870+264*p^55*q^872+88*p^86*q^840+2396*p^84*q^842+262572*p^82*q^ 844+6006756*p^80*q^846+110969253*p^78*q^848+1781614118*p^76*q^850+23618903274*p ^74*q^852+169236754308*p^72*q^854+312879081981*p^70*q^856+103967295004*p^68*q^ 858+11419941630*p^66*q^860+807261460*p^64*q^862+45377804*p^62*q^864+2799098*p^ 60*q^866+45614*p^58*q^868+7340*p^56*q^870+8*p^87*q^838+132*p^85*q^840+22632*p^ 83*q^842+1196344*p^81*q^844+24734156*p^79*q^846+414570660*p^77*q^848+6253517882 *p^75*q^850+67437122222*p^73*q^852+279784761006*p^71*q^854+226470138802*p^69*q^ 856+39959472646*p^67*q^858+3371815695*p^65*q^860+216626994*p^63*q^862+10707998* p^61*q^864+484126*p^59*q^866+23320*p^57*q^868+52*p^55*q^870+68*p^86*q^838+1192* p^84*q^840+151062*p^82*q^842+4540768*p^80*q^844+95042724*p^78*q^846+1530247510* p^76*q^848+20584827210*p^74*q^850+157475031428*p^72*q^852+315772983150*p^70*q^ 854+115330644758*p^68*q^856+13018885904*p^66*q^858+933848642*p^64*q^860+ 53373428*p^62*q^862+3140718*p^60*q^864+42768*p^58*q^866+9664*p^56*q^868+12*p^54 *q^870+388*p^85*q^838+13810*p^83*q^840+1112592*p^81*q^842+21520796*p^79*q^844+ 355827082*p^77*q^846+5460475693*p^75*q^848+60231975118*p^73*q^850+270994855979* p^71*q^852+238262393006*p^69*q^854+45264098640*p^67*q^856+3869841914*p^65*q^858 +251001118*p^63*q^860+12126520*p^61*q^862+705572*p^59*q^864+12584*p^57*q^866+ 808*p^55*q^868+128*p^86*q^836+1034*p^84*q^838+141522*p^82*q^840+3964904*p^80*q^ 842+82328726*p^78*q^844+1323703882*p^76*q^846+18151038889*p^74*q^848+ 143982765750*p^72*q^850+320059341060*p^70*q^852+126132791434*p^68*q^854+ 15027205796*p^66*q^856+1090964034*p^64*q^858+65487726*p^62*q^860+3575842*p^60*q ^862+81154*p^58*q^864+11804*p^56*q^866+560*p^85*q^836+11852*p^83*q^838+804091*p ^81*q^840+17635708*p^79*q^842+305159342*p^77*q^844+4695134586*p^75*q^846+ 53842104338*p^73*q^848+258022914330*p^71*q^850+253067705393*p^69*q^852+ 50870770216*p^67*q^854+4488432593*p^65*q^856+291529228*p^63*q^858+14063668*p^61 *q^860+904336*p^59*q^862+5196*p^57*q^864+1784*p^55*q^866+8*p^86*q^834+1392*p^84 *q^836+92188*p^82*q^838+3639843*p^80*q^840+70518694*p^78*q^842+1138692305*p^76* q^844+15794256108*p^74*q^846+132903370338*p^72*q^848+319304308280*p^70*q^850+ 138893505579*p^68*q^852+17098137376*p^66*q^854+1265024190*p^64*q^856+76276686*p ^62*q^858+3831888*p^60*q^860+128366*p^58*q^862+7732*p^56*q^864+28*p^54*q^866+ 904*p^85*q^834+6714*p^83*q^836+643686*p^81*q^838+14235806*p^79*q^840+262718342* p^77*q^842+4087940703*p^75*q^844+47711206720*p^73*q^846+247491948006*p^71*q^848 +264101373356*p^69*q^850+57352691164*p^67*q^852+5153106072*p^65*q^854+339758821 *p^63*q^856+17362384*p^61*q^858+1058978*p^59*q^860+9052*p^57*q^862+3156*p^55*q^ 864+2356*p^84*q^834+73152*p^82*q^836+3223830*p^80*q^838+61571512*p^78*q^840+ 981226748*p^76*q^842+13884044404*p^74*q^844+120614802516*p^72*q^846+ 320360949642*p^70*q^848+150615573926*p^68*q^850+19627720361*p^66*q^852+ 1470802436*p^64*q^854+89740660*p^62*q^856+3983650*p^60*q^858+211306*p^58*q^860+ 1488*p^56*q^862+184*p^54*q^864+344*p^85*q^832+8214*p^83*q^834+527400*p^81*q^836 +12075922*p^79*q^838+226478815*p^77*q^840+3522416882*p^75*q^842+42503228773*p^ 73*q^844+232794002652*p^71*q^846+277710540239*p^69*q^848+64184450838*p^67*q^850 +5987552712*p^65*q^852+395892200*p^63*q^854+21646594*p^61*q^856+1350232*p^59*q^ 858+16500*p^57*q^860+4316*p^55*q^862+8*p^86*q^830+3884*p^84*q^832+46384*p^82*q^ 834+2584214*p^80*q^836+50948030*p^78*q^838+839100874*p^76*q^840+12028176582*p^ 74*q^842+110329579417*p^72*q^844+315861124526*p^70*q^846+164880498480*p^68*q^ 848+22284736326*p^66*q^850+1698244993*p^64*q^852+104042722*p^62*q^854+4306540*p ^60*q^856+239422*p^58*q^858+496*p^56*q^860+364*p^54*q^862+20*p^85*q^830+6476*p^ 83*q^832+376708*p^81*q^834+10549211*p^79*q^836+195670080*p^77*q^838+3065674708* p^75*q^840+37527234124*p^73*q^842+221423482605*p^71*q^844+286437807636*p^69*q^ 846+71948226954*p^67*q^848+6850124186*p^65*q^850+461423818*p^63*q^852+25552674* p^61*q^854+1380152*p^59*q^856+34978*p^57*q^858+1072*p^55*q^860+8*p^53*q^862+ 3560*p^84*q^830+48136*p^82*q^832+2260920*p^80*q^834+43441576*p^78*q^836+ 726129958*p^76*q^838+10547680002*p^74*q^840+99544920038*p^72*q^842+313208362689 *p^70*q^844+177097497330*p^68*q^846+25571954259*p^66*q^848+1973809710*p^64*q^ 850+122528021*p^62*q^852+5516212*p^60*q^854+375054*p^58*q^856+1608*p^56*q^858+ 1316*p^54*q^860+156*p^85*q^828+11650*p^83*q^830+289966*p^81*q^832+9174214*p^79* q^834+168845540*p^77*q^836+2630525418*p^75*q^838+33227710501*p^73*q^840+ 206255281718*p^71*q^842+298393545665*p^69*q^844+80080542694*p^67*q^846+ 7932031177*p^65*q^848+539476146*p^63*q^850+31160450*p^61*q^852+1381110*p^59*q^ 854+47068*p^57*q^856+8*p^55*q^858+12*p^53*q^860+704*p^84*q^828+28300*p^82*q^830 +1728054*p^80*q^832+35319256*p^78*q^834+619385676*p^76*q^836+9115326360*p^74*q^ 838+90369987231*p^72*q^840+305795119422*p^70*q^842+192165032338*p^68*q^844+ 28855644384*p^66*q^846+2283780476*p^64*q^848+139315116*p^62*q^850+6334924*p^60* q^852+440846*p^58*q^854+3316*p^56*q^856+704*p^54*q^858+20*p^85*q^826+16748*p^83 *q^828+234244*p^81*q^830+8006700*p^79*q^832+146603170*p^77*q^834+2290218463*p^ 75*q^836+29251254466*p^73*q^838+194156116991*p^71*q^840+304519013282*p^69*q^842 +89372947488*p^67*q^844+9088663824*p^65*q^846+627225588*p^63*q^848+36931358*p^ 61*q^850+1475644*p^59*q^852+69108*p^57*q^854+112*p^55*q^856+184*p^53*q^858+1352 *p^84*q^826+30604*p^82*q^828+1442350*p^80*q^830+30868629*p^78*q^832+535671050*p ^76*q^834+7970408978*p^74*q^836+80967033510*p^72*q^838+299633184330*p^70*q^840+ 204851798802*p^68*q^842+32980553489*p^66*q^844+2644306998*p^64*q^846+165372873* p^62*q^848+8307768*p^60*q^850+517242*p^58*q^852+8564*p^56*q^854+8612*p^83*q^826 +180470*p^81*q^828+6684782*p^79*q^830+122745818*p^77*q^832+1960239958*p^75*q^ 834+25794932389*p^73*q^836+179386861936*p^71*q^838+313566839459*p^69*q^840+ 98725719482*p^67*q^842+10498805458*p^65*q^844+730591696*p^63*q^846+42817734*p^ 61*q^848+1536248*p^59*q^850+102588*p^57*q^852+124*p^55*q^854+268*p^53*q^856+544 *p^84*q^824+47036*p^82*q^826+1084805*p^80*q^828+26248402*p^78*q^830+463948488*p ^76*q^832+6893935762*p^74*q^834+73068866457*p^72*q^836+289332230482*p^70*q^838+ 220091852481*p^68*q^840+37181685100*p^66*q^842+3054273759*p^64*q^844+190899172* p^62*q^846+10194654*p^60*q^848+525914*p^58*q^850+9048*p^56*q^852+4*p^54*q^854+8 *p^52*q^856+7684*p^83*q^824+119414*p^81*q^826+5729572*p^79*q^828+104391892*p^77 *q^830+1692416768*p^75*q^832+22558635616*p^73*q^834+167321038554*p^71*q^836+ 316787036064*p^69*q^838+109525910057*p^67*q^840+11984519262*p^65*q^842+ 852636645*p^63*q^844+49652440*p^61*q^846+1861324*p^59*q^848+141594*p^57*q^850+ 1016*p^55*q^852+76*p^84*q^822+45396*p^82*q^824+928174*p^80*q^826+22817618*p^78* q^828+401048388*p^76*q^830+6028790292*p^74*q^832+65177217898*p^72*q^834+ 280723882990*p^70*q^836+232468021406*p^68*q^838+42246768833*p^66*q^840+ 3529436768*p^64*q^842+224606614*p^62*q^844+12479824*p^60*q^846+495082*p^58*q^ 848+16156*p^56*q^850+52*p^52*q^854+8*p^85*q^820+5952*p^83*q^822+127952*p^81*q^ 824+4666728*p^79*q^826+88625558*p^77*q^828+1455579388*p^75*q^830+19831979118*p^ 73*q^832+153003793786*p^71*q^834+322479557540*p^69*q^836+120147441350*p^67*q^ 838+13837016883*p^65*q^840+993108244*p^63*q^842+58008366*p^61*q^844+2486958*p^ 59*q^846+190402*p^57*q^848+1326*p^55*q^850+56*p^84*q^820+36152*p^82*q^822+ 639376*p^80*q^824+19539132*p^78*q^826+342711622*p^76*q^828+5176157170*p^74*q^ 830+58450581723*p^72*q^832+268102362166*p^70*q^834+247665128187*p^68*q^836+ 47484635994*p^66*q^838+4080582063*p^64*q^840+260181414*p^62*q^842+14660796*p^60 *q^844+456708*p^58*q^846+23488*p^56*q^848+40*p^54*q^850+1644*p^83*q^820+135622* p^81*q^822+3859692*p^79*q^824+74898030*p^77*q^826+1260201316*p^75*q^828+ 17345856362*p^73*q^830+141655730540*p^71*q^832+321939403054*p^69*q^834+ 132355819760*p^67*q^836+15722940384*p^65*q^838+1144992840*p^63*q^840+66439688*p ^61*q^842+3071272*p^59*q^844+184008*p^57*q^846+1596*p^55*q^848+4*p^51*q^852+120 *p^84*q^818+35996*p^82*q^820+535264*p^80*q^822+17202612*p^78*q^824+297016372*p^ 76*q^826+4523586493*p^74*q^828+51786876052*p^72*q^830+257553513939*p^70*q^832+ 258725254222*p^68*q^834+53739344113*p^66*q^836+4724172344*p^64*q^838+312742425* p^62*q^840+17782746*p^60*q^842+564388*p^58*q^844+48970*p^56*q^846+212*p^54*q^ 848+1276*p^83*q^818+136864*p^81*q^820+3093810*p^79*q^822+64516660*p^77*q^824+ 1081480056*p^75*q^826+15167918055*p^73*q^828+128691935210*p^71*q^830+ 324186793752*p^69*q^832+144038653612*p^67*q^834+18119477822*p^65*q^836+ 1327578176*p^63*q^838+77033962*p^61*q^840+3900182*p^59*q^842+181742*p^57*q^844+ 2210*p^55*q^846+20*p^84*q^816+17242*p^82*q^818+409640*p^80*q^820+14108578*p^78* q^822+248788952*p^76*q^824+3880007446*p^74*q^826+46190203864*p^72*q^828+ 243322857136*p^70*q^830+273257088064*p^68*q^832+60017546792*p^66*q^834+ 5444023477*p^64*q^836+360585692*p^62*q^838+20034368*p^60*q^840+638242*p^58*q^ 842+52472*p^56*q^844+88*p^54*q^846+848*p^83*q^816+142070*p^81*q^818+2464282*p^ 79*q^820+56321346*p^77*q^822+944256207*p^75*q^824+13246030540*p^73*q^826+ 118106991238*p^71*q^828+320464963554*p^69*q^830+157469401076*p^67*q^832+ 20543236704*p^65*q^834+1538360178*p^63*q^836+90836756*p^61*q^838+4929010*p^59*q ^840+162730*p^57*q^842+7796*p^55*q^844+16*p^53*q^846+2*p^86*q^812+13280*p^82*q^ 816+423712*p^80*q^818+12236310*p^78*q^820+214010598*p^76*q^822+3372380195*p^74* q^824+40756681990*p^72*q^826+231090437642*p^70*q^828+282335189382*p^68*q^830+ 67699429672*p^66*q^832+6290536942*p^64*q^834+425167648*p^62*q^836+23219912*p^60 *q^838+883706*p^58*q^840+69150*p^56*q^842+102*p^54*q^844+540*p^83*q^814+104878* p^81*q^816+1855290*p^79*q^818+47986343*p^77*q^820+805956564*p^75*q^822+ 11564146850*p^73*q^824+106552876750*p^71*q^826+318906659961*p^69*q^828+ 170204485986*p^67*q^830+23580683737*p^65*q^832+1777957736*p^63*q^834+108122645* p^61*q^836+5997068*p^59*q^838+146262*p^57*q^840+10300*p^55*q^842+8*p^86*q^810+4 *p^84*q^812+6400*p^82*q^814+431233*p^80*q^816+10002044*p^78*q^818+182615992*p^ 76*q^820+2901868210*p^74*q^822+36175946512*p^72*q^824+216431365606*p^70*q^826+ 294515785156*p^68*q^828+75114514240*p^66*q^830+7244064713*p^64*q^832+489862126* p^62*q^834+26142396*p^60*q^836+1109712*p^58*q^838+68782*p^56*q^840+652*p^54*q^ 842+22*p^85*q^810+128*p^83*q^812+82072*p^81*q^814+1491866*p^79*q^816+41365032*p ^77*q^818+695072021*p^75*q^820+10041210344*p^73*q^822+97100468062*p^71*q^824+ 311793451002*p^69*q^826+184662806237*p^67*q^828+26723885472*p^65*q^830+ 2071530223*p^63*q^832+127722910*p^61*q^834+7008038*p^59*q^836+173816*p^57*q^838 +15860*p^55*q^840+5020*p^82*q^812+404670*p^80*q^814+8243940*p^78*q^816+ 158173738*p^76*q^818+2524619495*p^74*q^820+31804816200*p^72*q^822+203835271567* p^70*q^824+301590815580*p^68*q^826+84022364127*p^66*q^828+8316531032*p^64*q^830 +567962978*p^62*q^832+30646340*p^60*q^834+1520658*p^58*q^836+55074*p^56*q^838+ 1568*p^54*q^840+112*p^85*q^808+120*p^83*q^810+53840*p^81*q^812+1377962*p^79*q^ 814+35751257*p^77*q^816+593498956*p^75*q^818+8759961077*p^73*q^820+86914232730* p^71*q^822+306752238748*p^69*q^824+197593037200*p^67*q^826+30591476261*p^65*q^ 828+2404932556*p^63*q^830+154115867*p^61*q^832+8107138*p^59*q^834+220672*p^57*q ^836+24428*p^55*q^838+24*p^53*q^840+112*p^84*q^808+2724*p^82*q^810+350754*p^80* q^812+6287248*p^78*q^814+134086479*p^76*q^816+2166661988*p^74*q^818+28087256347 *p^72*q^820+188854734252*p^70*q^822+311749874912*p^68*q^824+92933279806*p^66*q^ 826+9570403540*p^64*q^828+653849284*p^62*q^830+35197996*p^60*q^832+1906386*p^58 *q^834+40358*p^56*q^836+1716*p^54*q^838+8*p^85*q^806+4*p^83*q^808+31032*p^81*q^ 810+1206932*p^79*q^812+30349444*p^77*q^814+512197749*p^75*q^816+7588507660*p^73 *q^818+78752149591*p^71*q^820+296590505358*p^69*q^822+212465756910*p^67*q^824+ 34442420284*p^65*q^826+2778573786*p^63*q^828+177399994*p^61*q^830+9023504*p^59* q^832+280018*p^57*q^834+23208*p^55*q^836+168*p^53*q^838+660*p^84*q^806+1680*p^ 82*q^808+307326*p^80*q^810+5494266*p^78*q^812+116867446*p^76*q^814+1886045424*p ^74*q^816+24651485396*p^72*q^818+176281867079*p^70*q^820+315033344634*p^68*q^ 822+103470197078*p^66*q^824+10997685704*p^64*q^826+769201499*p^62*q^828+ 44097218*p^60*q^830+2428042*p^58*q^832+47032*p^56*q^834+5462*p^54*q^836+8*p^85* q^804+444*p^83*q^806+26372*p^81*q^808+1162626*p^79*q^810+24931592*p^77*q^812+ 438245996*p^75*q^814+6590500618*p^73*q^816+70044249214*p^71*q^818+288714458882* p^69*q^820+225278612460*p^67*q^822+39267279092*p^65*q^824+3213408724*p^63*q^826 +207469483*p^61*q^828+10008318*p^59*q^830+420974*p^57*q^832+18654*p^55*q^834+48 *p^53*q^836+268*p^84*q^804+376*p^82*q^806+181868*p^80*q^808+4148740*p^78*q^810+ 100251111*p^76*q^812+1607381758*p^74*q^814+21680387444*p^72*q^816+162106658412* p^70*q^818+322203934466*p^68*q^820+113424656676*p^66*q^822+12648296457*p^64*q^ 824+885090918*p^62*q^826+52086574*p^60*q^828+2692992*p^58*q^830+37610*p^56*q^ 832+6432*p^54*q^834+8*p^52*q^836+2082*p^83*q^804+16084*p^81*q^806+1142088*p^79* q^808+21341972*p^77*q^810+376976180*p^75*q^812+5724980306*p^73*q^814+ 63068499809*p^71*q^816+276278229368*p^69*q^818+240083804744*p^67*q^820+ 44042660138*p^65*q^822+3714838628*p^63*q^824+238922920*p^61*q^826+11604302*p^59 *q^828+600116*p^57*q^830+11486*p^55*q^832+676*p^53*q^834+120*p^84*q^802+1662*p^ 82*q^804+158332*p^80*q^806+3710490*p^78*q^808+86248662*p^76*q^810+1401571035*p^ 74*q^812+18928252000*p^72*q^814+149841970814*p^70*q^816+322428694254*p^68*q^818 +125459886924*p^66*q^820+14483330786*p^64*q^822+1039343045*p^62*q^824+63534742* p^60*q^826+3196224*p^58*q^828+68578*p^56*q^830+8706*p^54*q^832+2286*p^83*q^802+ 7176*p^81*q^804+889502*p^79*q^806+17113275*p^77*q^808+322629948*p^75*q^810+ 4954033028*p^73*q^812+55850142842*p^71*q^814+265946582413*p^69*q^816+ 251994249104*p^67*q^818+49991450778*p^65*q^820+4283257332*p^63*q^822+278477420* p^61*q^824+13758848*p^59*q^826+716822*p^57*q^828+6182*p^55*q^830+1064*p^53*q^ 832+32*p^84*q^800+4398*p^82*q^802+113650*p^80*q^804+3426482*p^78*q^806+73664344 *p^76*q^808+1199312734*p^74*q^810+16611514518*p^72*q^812+136683916902*p^70*q^ 814+325664616754*p^68*q^816+136683916902*p^66*q^818+16611514518*p^64*q^820+ 1199312734*p^62*q^822+73664344*p^60*q^824+3426482*p^58*q^826+113650*p^56*q^828+ 4398*p^54*q^830+32*p^52*q^832+1064*p^83*q^800+6182*p^81*q^802+716822*p^79*q^804 +13758848*p^77*q^806+278477420*p^75*q^808+4283257332*p^73*q^810+49991450778*p^ 71*q^812+251994249104*p^69*q^814+265946582413*p^67*q^816+55850142842*p^65*q^818 +4954033028*p^63*q^820+322629948*p^61*q^822+17113275*p^59*q^824+889502*p^57*q^ 826+7176*p^55*q^828+2286*p^53*q^830+8706*p^82*q^800+68578*p^80*q^802+3196224*p^ 78*q^804+63534742*p^76*q^806+1039343045*p^74*q^808+14483330786*p^72*q^810+ 125459886924*p^70*q^812+322428694254*p^68*q^814+149841970814*p^66*q^816+ 18928252000*p^64*q^818+1401571035*p^62*q^820+86248662*p^60*q^822+3710490*p^58*q ^824+158332*p^56*q^826+1662*p^54*q^828+120*p^52*q^830+676*p^83*q^798+11486*p^81 *q^800+600116*p^79*q^802+11604302*p^77*q^804+238922920*p^75*q^806+3714838628*p^ 73*q^808+44042660138*p^71*q^810+240083804744*p^69*q^812+276278229368*p^67*q^814 +63068499809*p^65*q^816+5724980306*p^63*q^818+376976180*p^61*q^820+21341972*p^ 59*q^822+1142088*p^57*q^824+16084*p^55*q^826+2082*p^53*q^828+8*p^84*q^796+6432* p^82*q^798+37610*p^80*q^800+2692992*p^78*q^802+52086574*p^76*q^804+885090918*p^ 74*q^806+12648296457*p^72*q^808+113424656676*p^70*q^810+322203934466*p^68*q^812 +162106658412*p^66*q^814+21680387444*p^64*q^816+1607381758*p^62*q^818+100251111 *p^60*q^820+4148740*p^58*q^822+181868*p^56*q^824+376*p^54*q^826+268*p^52*q^828+ 48*p^83*q^796+18654*p^81*q^798+420974*p^79*q^800+10008318*p^77*q^802+207469483* p^75*q^804+3213408724*p^73*q^806+39267279092*p^71*q^808+225278612460*p^69*q^810 +288714458882*p^67*q^812+70044249214*p^65*q^814+6590500618*p^63*q^816+438245996 *p^61*q^818+24931592*p^59*q^820+1162626*p^57*q^822+26372*p^55*q^824+444*p^53*q^ 826+8*p^51*q^828+5462*p^82*q^796+47032*p^80*q^798+2428042*p^78*q^800+44097218*p ^76*q^802+769201499*p^74*q^804+10997685704*p^72*q^806+103470197078*p^70*q^808+ 315033344634*p^68*q^810+176281867079*p^66*q^812+24651485396*p^64*q^814+ 1886045424*p^62*q^816+116867446*p^60*q^818+5494266*p^58*q^820+307326*p^56*q^822 +1680*p^54*q^824+660*p^52*q^826+168*p^83*q^794+23208*p^81*q^796+280018*p^79*q^ 798+9023504*p^77*q^800+177399994*p^75*q^802+2778573786*p^73*q^804+34442420284*p ^71*q^806+212465756910*p^69*q^808+296590505358*p^67*q^810+78752149591*p^65*q^ 812+7588507660*p^63*q^814+512197749*p^61*q^816+30349444*p^59*q^818+1206932*p^57 *q^820+31032*p^55*q^822+4*p^53*q^824+8*p^51*q^826+1716*p^82*q^794+40358*p^80*q^ 796+1906386*p^78*q^798+35197996*p^76*q^800+653849284*p^74*q^802+9570403540*p^72 *q^804+92933279806*p^70*q^806+311749874912*p^68*q^808+188854734252*p^66*q^810+ 28087256347*p^64*q^812+2166661988*p^62*q^814+134086479*p^60*q^816+6287248*p^58* q^818+350754*p^56*q^820+2724*p^54*q^822+112*p^52*q^824+24*p^83*q^792+24428*p^81 *q^794+220672*p^79*q^796+8107138*p^77*q^798+154115867*p^75*q^800+2404932556*p^ 73*q^802+30591476261*p^71*q^804+197593037200*p^69*q^806+306752238748*p^67*q^808 +86914232730*p^65*q^810+8759961077*p^63*q^812+593498956*p^61*q^814+35751257*p^ 59*q^816+1377962*p^57*q^818+53840*p^55*q^820+120*p^53*q^822+112*p^51*q^824+1568 *p^82*q^792+55074*p^80*q^794+1520658*p^78*q^796+30646340*p^76*q^798+567962978*p ^74*q^800+8316531032*p^72*q^802+84022364127*p^70*q^804+301590815580*p^68*q^806+ 203835271567*p^66*q^808+31804816200*p^64*q^810+2524619495*p^62*q^812+158173738* p^60*q^814+8243940*p^58*q^816+404670*p^56*q^818+5020*p^54*q^820+15860*p^81*q^ 792+173816*p^79*q^794+7008038*p^77*q^796+127722910*p^75*q^798+2071530223*p^73*q ^800+26723885472*p^71*q^802+184662806237*p^69*q^804+311793451002*p^67*q^806+ 97100468062*p^65*q^808+10041210344*p^63*q^810+695072021*p^61*q^812+41365032*p^ 59*q^814+1491866*p^57*q^816+82072*p^55*q^818+128*p^53*q^820+22*p^51*q^822+652*p ^82*q^790+68782*p^80*q^792+1109712*p^78*q^794+26142396*p^76*q^796+489862126*p^ 74*q^798+7244064713*p^72*q^800+75114514240*p^70*q^802+294515785156*p^68*q^804+ 216431365606*p^66*q^806+36175946512*p^64*q^808+2901868210*p^62*q^810+182615992* p^60*q^812+10002044*p^58*q^814+431233*p^56*q^816+6400*p^54*q^818+4*p^52*q^820+8 *p^50*q^822+10300*p^81*q^790+146262*p^79*q^792+5997068*p^77*q^794+108122645*p^ 75*q^796+1777957736*p^73*q^798+23580683737*p^71*q^800+170204485986*p^69*q^802+ 318906659961*p^67*q^804+106552876750*p^65*q^806+11564146850*p^63*q^808+ 805956564*p^61*q^810+47986343*p^59*q^812+1855290*p^57*q^814+104878*p^55*q^816+ 540*p^53*q^818+102*p^82*q^788+69150*p^80*q^790+883706*p^78*q^792+23219912*p^76* q^794+425167648*p^74*q^796+6290536942*p^72*q^798+67699429672*p^70*q^800+ 282335189382*p^68*q^802+231090437642*p^66*q^804+40756681990*p^64*q^806+ 3372380195*p^62*q^808+214010598*p^60*q^810+12236310*p^58*q^812+423712*p^56*q^ 814+13280*p^54*q^816+2*p^50*q^820+16*p^83*q^786+7796*p^81*q^788+162730*p^79*q^ 790+4929010*p^77*q^792+90836756*p^75*q^794+1538360178*p^73*q^796+20543236704*p^ 71*q^798+157469401076*p^69*q^800+320464963554*p^67*q^802+118106991238*p^65*q^ 804+13246030540*p^63*q^806+944256207*p^61*q^808+56321346*p^59*q^810+2464282*p^ 57*q^812+142070*p^55*q^814+848*p^53*q^816+88*p^82*q^786+52472*p^80*q^788+638242 *p^78*q^790+20034368*p^76*q^792+360585692*p^74*q^794+5444023477*p^72*q^796+ 60017546792*p^70*q^798+273257088064*p^68*q^800+243322857136*p^66*q^802+ 46190203864*p^64*q^804+3880007446*p^62*q^806+248788952*p^60*q^808+14108578*p^58 *q^810+409640*p^56*q^812+17242*p^54*q^814+20*p^52*q^816+2210*p^81*q^786+181742* p^79*q^788+3900182*p^77*q^790+77033962*p^75*q^792+1327578176*p^73*q^794+ 18119477822*p^71*q^796+144038653612*p^69*q^798+324186793752*p^67*q^800+ 128691935210*p^65*q^802+15167918055*p^63*q^804+1081480056*p^61*q^806+64516660*p ^59*q^808+3093810*p^57*q^810+136864*p^55*q^812+1276*p^53*q^814+212*p^82*q^784+ 48970*p^80*q^786+564388*p^78*q^788+17782746*p^76*q^790+312742425*p^74*q^792+ 4724172344*p^72*q^794+53739344113*p^70*q^796+258725254222*p^68*q^798+ 257553513939*p^66*q^800+51786876052*p^64*q^802+4523586493*p^62*q^804+297016372* p^60*q^806+17202612*p^58*q^808+535264*p^56*q^810+35996*p^54*q^812+120*p^52*q^ 814+4*p^85*q^780+1596*p^81*q^784+184008*p^79*q^786+3071272*p^77*q^788+66439688* p^75*q^790+1144992840*p^73*q^792+15722940384*p^71*q^794+132355819760*p^69*q^796 +321939403054*p^67*q^798+141655730540*p^65*q^800+17345856362*p^63*q^802+ 1260201316*p^61*q^804+74898030*p^59*q^806+3859692*p^57*q^808+135622*p^55*q^810+ 1644*p^53*q^812+40*p^82*q^782+23488*p^80*q^784+456708*p^78*q^786+14660796*p^76* q^788+260181414*p^74*q^790+4080582063*p^72*q^792+47484635994*p^70*q^794+ 247665128187*p^68*q^796+268102362166*p^66*q^798+58450581723*p^64*q^800+ 5176157170*p^62*q^802+342711622*p^60*q^804+19539132*p^58*q^806+639376*p^56*q^ 808+36152*p^54*q^810+56*p^52*q^812+1326*p^81*q^782+190402*p^79*q^784+2486958*p^ 77*q^786+58008366*p^75*q^788+993108244*p^73*q^790+13837016883*p^71*q^792+ 120147441350*p^69*q^794+322479557540*p^67*q^796+153003793786*p^65*q^798+ 19831979118*p^63*q^800+1455579388*p^61*q^802+88625558*p^59*q^804+4666728*p^57*q ^806+127952*p^55*q^808+5952*p^53*q^810+8*p^51*q^812+52*p^84*q^778+16156*p^80*q^ 782+495082*p^78*q^784+12479824*p^76*q^786+224606614*p^74*q^788+3529436768*p^72* q^790+42246768833*p^70*q^792+232468021406*p^68*q^794+280723882990*p^66*q^796+ 65177217898*p^64*q^798+6028790292*p^62*q^800+401048388*p^60*q^802+22817618*p^58 *q^804+928174*p^56*q^806+45396*p^54*q^808+76*p^52*q^810+1016*p^81*q^780+141594* p^79*q^782+1861324*p^77*q^784+49652440*p^75*q^786+852636645*p^73*q^788+ 11984519262*p^71*q^790+109525910057*p^69*q^792+316787036064*p^67*q^794+ 167321038554*p^65*q^796+22558635616*p^63*q^798+1692416768*p^61*q^800+104391892* p^59*q^802+5729572*p^57*q^804+119414*p^55*q^806+7684*p^53*q^808+8*p^84*q^776+4* p^82*q^778+9048*p^80*q^780+525914*p^78*q^782+10194654*p^76*q^784+190899172*p^74 *q^786+3054273759*p^72*q^788+37181685100*p^70*q^790+220091852481*p^68*q^792+ 289332230482*p^66*q^794+73068866457*p^64*q^796+6893935762*p^62*q^798+463948488* p^60*q^800+26248402*p^58*q^802+1084805*p^56*q^804+47036*p^54*q^806+544*p^52*q^ 808+268*p^83*q^776+124*p^81*q^778+102588*p^79*q^780+1536248*p^77*q^782+42817734 *p^75*q^784+730591696*p^73*q^786+10498805458*p^71*q^788+98725719482*p^69*q^790+ 313566839459*p^67*q^792+179386861936*p^65*q^794+25794932389*p^63*q^796+ 1960239958*p^61*q^798+122745818*p^59*q^800+6684782*p^57*q^802+180470*p^55*q^804 +8612*p^53*q^806+8564*p^80*q^778+517242*p^78*q^780+8307768*p^76*q^782+165372873 *p^74*q^784+2644306998*p^72*q^786+32980553489*p^70*q^788+204851798802*p^68*q^ 790+299633184330*p^66*q^792+80967033510*p^64*q^794+7970408978*p^62*q^796+ 535671050*p^60*q^798+30868629*p^58*q^800+1442350*p^56*q^802+30604*p^54*q^804+ 1352*p^52*q^806+184*p^83*q^774+112*p^81*q^776+69108*p^79*q^778+1475644*p^77*q^ 780+36931358*p^75*q^782+627225588*p^73*q^784+9088663824*p^71*q^786+89372947488* p^69*q^788+304519013282*p^67*q^790+194156116991*p^65*q^792+29251254466*p^63*q^ 794+2290218463*p^61*q^796+146603170*p^59*q^798+8006700*p^57*q^800+234244*p^55*q ^802+16748*p^53*q^804+20*p^51*q^806+704*p^82*q^774+3316*p^80*q^776+440846*p^78* q^778+6334924*p^76*q^780+139315116*p^74*q^782+2283780476*p^72*q^784+28855644384 *p^70*q^786+192165032338*p^68*q^788+305795119422*p^66*q^790+90369987231*p^64*q^ 792+9115326360*p^62*q^794+619385676*p^60*q^796+35319256*p^58*q^798+1728054*p^56 *q^800+28300*p^54*q^802+704*p^52*q^804+12*p^83*q^772+8*p^81*q^774+47068*p^79*q^ 776+1381110*p^77*q^778+31160450*p^75*q^780+539476146*p^73*q^782+7932031177*p^71 *q^784+80080542694*p^69*q^786+298393545665*p^67*q^788+206255281718*p^65*q^790+ 33227710501*p^63*q^792+2630525418*p^61*q^794+168845540*p^59*q^796+9174214*p^57* q^798+289966*p^55*q^800+11650*p^53*q^802+156*p^51*q^804+1316*p^82*q^772+1608*p^ 80*q^774+375054*p^78*q^776+5516212*p^76*q^778+122528021*p^74*q^780+1973809710*p ^72*q^782+25571954259*p^70*q^784+177097497330*p^68*q^786+313208362689*p^66*q^ 788+99544920038*p^64*q^790+10547680002*p^62*q^792+726129958*p^60*q^794+43441576 *p^58*q^796+2260920*p^56*q^798+48136*p^54*q^800+3560*p^52*q^802+8*p^83*q^770+ 1072*p^81*q^772+34978*p^79*q^774+1380152*p^77*q^776+25552674*p^75*q^778+ 461423818*p^73*q^780+6850124186*p^71*q^782+71948226954*p^69*q^784+286437807636* p^67*q^786+221423482605*p^65*q^788+37527234124*p^63*q^790+3065674708*p^61*q^792 +195670080*p^59*q^794+10549211*p^57*q^796+376708*p^55*q^798+6476*p^53*q^800+20* p^51*q^802+364*p^82*q^770+496*p^80*q^772+239422*p^78*q^774+4306540*p^76*q^776+ 104042722*p^74*q^778+1698244993*p^72*q^780+22284736326*p^70*q^782+164880498480* p^68*q^784+315861124526*p^66*q^786+110329579417*p^64*q^788+12028176582*p^62*q^ 790+839100874*p^60*q^792+50948030*p^58*q^794+2584214*p^56*q^796+46384*p^54*q^ 798+3884*p^52*q^800+8*p^50*q^802+4316*p^81*q^770+16500*p^79*q^772+1350232*p^77* q^774+21646594*p^75*q^776+395892200*p^73*q^778+5987552712*p^71*q^780+ 64184450838*p^69*q^782+277710540239*p^67*q^784+232794002652*p^65*q^786+ 42503228773*p^63*q^788+3522416882*p^61*q^790+226478815*p^59*q^792+12075922*p^57 *q^794+527400*p^55*q^796+8214*p^53*q^798+344*p^51*q^800+184*p^82*q^768+1488*p^ 80*q^770+211306*p^78*q^772+3983650*p^76*q^774+89740660*p^74*q^776+1470802436*p^ 72*q^778+19627720361*p^70*q^780+150615573926*p^68*q^782+320360949642*p^66*q^784 +120614802516*p^64*q^786+13884044404*p^62*q^788+981226748*p^60*q^790+61571512*p ^58*q^792+3223830*p^56*q^794+73152*p^54*q^796+2356*p^52*q^798+3156*p^81*q^768+ 9052*p^79*q^770+1058978*p^77*q^772+17362384*p^75*q^774+339758821*p^73*q^776+ 5153106072*p^71*q^778+57352691164*p^69*q^780+264101373356*p^67*q^782+ 247491948006*p^65*q^784+47711206720*p^63*q^786+4087940703*p^61*q^788+262718342* p^59*q^790+14235806*p^57*q^792+643686*p^55*q^794+6714*p^53*q^796+904*p^51*q^798 +28*p^82*q^766+7732*p^80*q^768+128366*p^78*q^770+3831888*p^76*q^772+76276686*p^ 74*q^774+1265024190*p^72*q^776+17098137376*p^70*q^778+138893505579*p^68*q^780+ 319304308280*p^66*q^782+132903370338*p^64*q^784+15794256108*p^62*q^786+ 1138692305*p^60*q^788+70518694*p^58*q^790+3639843*p^56*q^792+92188*p^54*q^794+ 1392*p^52*q^796+8*p^50*q^798+1784*p^81*q^766+5196*p^79*q^768+904336*p^77*q^770+ 14063668*p^75*q^772+291529228*p^73*q^774+4488432593*p^71*q^776+50870770216*p^69 *q^778+253067705393*p^67*q^780+258022914330*p^65*q^782+53842104338*p^63*q^784+ 4695134586*p^61*q^786+305159342*p^59*q^788+17635708*p^57*q^790+804091*p^55*q^ 792+11852*p^53*q^794+560*p^51*q^796+11804*p^80*q^766+81154*p^78*q^768+3575842*p ^76*q^770+65487726*p^74*q^772+1090964034*p^72*q^774+15027205796*p^70*q^776+ 126132791434*p^68*q^778+320059341060*p^66*q^780+143982765750*p^64*q^782+ 18151038889*p^62*q^784+1323703882*p^60*q^786+82328726*p^58*q^788+3964904*p^56*q ^790+141522*p^54*q^792+1034*p^52*q^794+128*p^50*q^796+808*p^81*q^764+12584*p^79 *q^766+705572*p^77*q^768+12126520*p^75*q^770+251001118*p^73*q^772+3869841914*p^ 71*q^774+45264098640*p^69*q^776+238262393006*p^67*q^778+270994855979*p^65*q^780 +60231975118*p^63*q^782+5460475693*p^61*q^784+355827082*p^59*q^786+21520796*p^ 57*q^788+1112592*p^55*q^790+13810*p^53*q^792+388*p^51*q^794+12*p^82*q^762+9664* p^80*q^764+42768*p^78*q^766+3140718*p^76*q^768+53373428*p^74*q^770+933848642*p^ 72*q^772+13018885904*p^70*q^774+115330644758*p^68*q^776+315772983150*p^66*q^778 +157475031428*p^64*q^780+20584827210*p^62*q^782+1530247510*p^60*q^784+95042724* p^58*q^786+4540768*p^56*q^788+151062*p^54*q^790+1192*p^52*q^792+68*p^50*q^794+ 52*p^81*q^762+23320*p^79*q^764+484126*p^77*q^766+10707998*p^75*q^768+216626994* p^73*q^770+3371815695*p^71*q^772+39959472646*p^69*q^774+226470138802*p^67*q^776 +279784761006*p^65*q^778+67437122222*p^63*q^780+6253517882*p^61*q^782+414570660 *p^59*q^784+24734156*p^57*q^786+1196344*p^55*q^788+22632*p^53*q^790+132*p^51*q^ 792+8*p^49*q^794+7340*p^80*q^762+45614*p^78*q^764+2799098*p^76*q^766+45377804*p ^74*q^768+807261460*p^72*q^770+11419941630*p^70*q^772+103967295004*p^68*q^774+ 312879081981*p^66*q^776+169236754308*p^64*q^778+23618903274*p^62*q^780+ 1781614118*p^60*q^782+110969253*p^58*q^784+6006756*p^56*q^786+262572*p^54*q^788 +2396*p^52*q^790+88*p^50*q^792+264*p^81*q^760+29596*p^79*q^762+329474*p^77*q^ 764+9796808*p^75*q^766+185215820*p^73*q^768+2898662162*p^71*q^770+35391648139*p ^69*q^772+210735421072*p^67*q^774+291263657420*p^65*q^776+75086346062*p^63*q^ 778+7238618867*p^61*q^780+483707912*p^59*q^782+29896239*p^57*q^784+1259578*p^55 *q^786+27554*p^53*q^788+44*p^51*q^790+4*p^49*q^792+1984*p^80*q^760+43326*p^78*q ^762+2154292*p^76*q^764+36532812*p^74*q^766+689246082*p^72*q^768+9878721614*p^ 70*q^770+94451236439*p^68*q^772+305252607794*p^66*q^774+183461815306*p^64*q^776 +26653713418*p^62*q^778+2059160621*p^60*q^780+126759310*p^58*q^782+6805142*p^56 *q^784+324334*p^54*q^786+1886*p^52*q^788+8*p^50*q^790+28*p^81*q^758+32832*p^79* q^760+240390*p^77*q^762+8977010*p^75*q^764+159597978*p^73*q^766+2525896839*p^71 *q^768+31158266608*p^69*q^770+198457595732*p^67*q^772+296847676098*p^65*q^774+ 83767113182*p^63*q^776+8291655036*p^61*q^778+563452272*p^59*q^780+34535130*p^57 *q^782+1519492*p^55*q^784+41516*p^53*q^786+344*p^51*q^788+8*p^49*q^790+2408*p^ 80*q^758+58954*p^78*q^760+1739042*p^76*q^762+32087650*p^74*q^764+595829876*p^72 *q^766+8640608331*p^70*q^768+84583701916*p^68*q^770+299270856392*p^66*q^772+ 195479799774*p^64*q^774+30450964988*p^62*q^776+2389525126*p^60*q^778+149646934* p^58*q^780+8779488*p^56*q^782+394810*p^54*q^784+4988*p^52*q^786+19024*p^79*q^ 758+189118*p^77*q^760+7676826*p^75*q^762+132988610*p^73*q^764+2161833400*p^71*q ^766+27468004923*p^69*q^768+183312898558*p^67*q^770+305779194573*p^65*q^772+ 92409591462*p^63*q^774+9590509038*p^61*q^776+654244472*p^59*q^778+39854564*p^57 *q^780+1731458*p^55*q^782+64808*p^53*q^784+56*p^51*q^786+944*p^80*q^756+83946*p ^78*q^758+1236348*p^76*q^760+27862856*p^74*q^762+514216282*p^72*q^764+ 7483806748*p^70*q^766+76301884513*p^68*q^768+288705496060*p^66*q^770+ 210054918324*p^64*q^772+34297077124*p^62*q^774+2759121411*p^60*q^776+173108970* p^58*q^778+10446358*p^56*q^780+406950*p^54*q^782+4959*p^52*q^784+24*p^50*q^786+ 14316*p^79*q^756+146956*p^77*q^758+6662494*p^75*q^760+112215858*p^73*q^762+ 1870187081*p^71*q^764+24044734354*p^69*q^766+170893797305*p^67*q^768+ 308791078202*p^65*q^770+102530871712*p^63*q^772+10938102482*p^61*q^774+ 764720855*p^59*q^776+45692956*p^57*q^778+2187296*p^55*q^780+96240*p^53*q^782+ 528*p^51*q^784+88*p^80*q^754+81800*p^78*q^756+1004964*p^76*q^758+24719802*p^74* q^760+444328944*p^72*q^762+6548636081*p^70*q^764+68097023848*p^68*q^766+ 279967492712*p^66*q^768+221617356996*p^64*q^770+38986337345*p^62*q^772+ 3191457090*p^60*q^774+202641607*p^58*q^776+12422888*p^56*q^778+435412*p^54*q^ 780+9234*p^52*q^782+12*p^81*q^752+10900*p^79*q^754+173940*p^77*q^756+5356288*p^ 75*q^758+95170272*p^73*q^760+1608548060*p^71*q^762+21127266688*p^69*q^764+ 156358306032*p^67*q^766+314063542094*p^65*q^768+112419426948*p^63*q^770+ 12621324035*p^61*q^772+890376290*p^59*q^774+53812732*p^57*q^776+2916738*p^55*q^ 778+127666*p^53*q^780+756*p^51*q^782+2*p^84*q^748+28*p^80*q^752+65320*p^78*q^ 754+697532*p^76*q^756+21521402*p^74*q^758+377749584*p^72*q^760+5630637680*p^70* q^762+61048239759*p^68*q^764+267527597352*p^66*q^766+235933233344*p^64*q^768+ 43747506858*p^62*q^770+3695147816*p^60*q^772+234452694*p^58*q^774+14128260*p^56 *q^776+465610*p^54*q^778+13296*p^52*q^780+16*p^50*q^782+2616*p^79*q^752+203196* p^77*q^754+4350664*p^75*q^756+80726758*p^73*q^758+1394530453*p^71*q^760+ 18499193974*p^69*q^762+144658859822*p^67*q^764+313657372152*p^65*q^766+ 123727734536*p^63*q^768+14340764322*p^61*q^770+1025856580*p^59*q^772+61677770*p ^57*q^774+3517842*p^55*q^776+110900*p^53*q^778+854*p^51*q^780+228*p^80*q^750+ 63872*p^78*q^752+592404*p^76*q^754+19063776*p^74*q^756+326353164*p^72*q^758+ 4925365277*p^70*q^760+54085770206*p^68*q^762+256788712556*p^66*q^764+ 246570711864*p^64*q^766+49477967621*p^62*q^768+4275155220*p^60*q^770+280570838* p^58*q^772+16805494*p^56*q^774+702582*p^54*q^776+33972*p^52*q^778+116*p^50*q^ 780+30*p^83*q^746+1296*p^79*q^750+210120*p^77*q^752+3432858*p^75*q^754+70042017 *p^73*q^756+1195220528*p^71*q^758+16192164288*p^69*q^760+131388198604*p^67*q^ 762+315568274600*p^65*q^764+134664361960*p^63*q^766+16528917551*p^61*q^768+ 1191691996*p^59*q^770+71098544*p^57*q^772+4320054*p^55*q^774+102870*p^53*q^776+ 828*p^51*q^778+16*p^80*q^748+29802*p^78*q^750+493448*p^76*q^752+15723136*p^74*q ^754+272831048*p^72*q^756+4230737946*p^70*q^758+48276753700*p^68*q^760+ 242457818592*p^66*q^762+260040534720*p^64*q^764+55262052784*p^62*q^766+ 4922144597*p^60*q^768+321995612*p^58*q^770+19370532*p^56*q^772+845434*p^54*q^ 774+28994*p^52*q^776+36*p^50*q^778+1716*p^79*q^748+229508*p^77*q^750+2700174*p^ 75*q^752+61269018*p^73*q^754+1043621340*p^71*q^756+14141912798*p^69*q^758+ 120693114092*p^67*q^760+311707594918*p^65*q^762+147057141359*p^63*q^764+ 18717163960*p^61*q^766+1384411697*p^59*q^768+83630544*p^57*q^770+4948906*p^55*q ^772+140902*p^53*q^774+5520*p^51*q^776+8*p^49*q^778+184*p^82*q^744+17028*p^78*q ^748+539402*p^76*q^750+13622294*p^74*q^752+234651554*p^72*q^754+3679917833*p^70 *q^756+42590930582*p^68*q^758+230477586717*p^66*q^760+268479315314*p^64*q^762+ 62269261314*p^62*q^764+5695176298*p^60*q^766+379809488*p^58*q^768+22147122*p^56 *q^770+1201826*p^54*q^772+24482*p^52*q^774+24*p^50*q^776+732*p^79*q^746+175388* p^77*q^748+2035148*p^75*q^750+52477476*p^73*q^752+890576482*p^71*q^754+ 12357500310*p^69*q^756+108828831554*p^67*q^758+310390489146*p^65*q^760+ 158793765484*p^63*q^762+21462834947*p^61*q^764+1600176826*p^59*q^766+98051198*p ^57*q^768+6112218*p^55*q^770+174306*p^53*q^772+7248*p^51*q^774+52*p^82*q^742+4* p^80*q^744+10692*p^78*q^746+587074*p^76*q^748+11035756*p^74*q^750+200604662*p^ 72*q^752+3170313544*p^70*q^754+37811733136*p^68*q^756+215697236636*p^66*q^758+ 280268294830*p^64*q^760+68987735594*p^62*q^762+6558657098*p^60*q^764+437387440* p^58*q^766+25313966*p^56*q^768+1336660*p^54*q^770+27368*p^52*q^772+396*p^50*q^ 774+594*p^81*q^742+64*p^79*q^744+115732*p^77*q^746+1692426*p^75*q^748+45479302* p^73*q^750+765754209*p^71*q^752+10750941610*p^69*q^754+99098359929*p^67*q^756+ 303204888082*p^65*q^758+172262240863*p^63*q^760+24306460254*p^61*q^762+ 1862387745*p^59*q^764+115464796*p^57*q^766+7074384*p^55*q^768+267876*p^53*q^770 +4744*p^51*q^772+8300*p^78*q^744+605970*p^76*q^746+9025362*p^74*q^748+173350686 *p^72*q^750+2764810659*p^70*q^752+33283582874*p^68*q^754+203038147968*p^66*q^ 756+286640466628*p^64*q^758+77237305161*p^62*q^760+7512536632*p^60*q^762+ 508819757*p^58*q^764+29163780*p^56*q^766+1720760*p^54*q^768+32686*p^52*q^770+ 1420*p^50*q^772+614*p^81*q^740+100*p^79*q^742+75944*p^77*q^744+1614810*p^75*q^ 746+39316020*p^73*q^748+654888174*p^71*q^750+9377357336*p^69*q^752+88840710270* p^67*q^754+297989931573*p^65*q^756+184173428978*p^63*q^758+27806515329*p^61*q^ 760+2167201980*p^59*q^762+137815028*p^57*q^764+8186226*p^55*q^766+342982*p^53*q ^768+5974*p^51*q^770+4*p^49*q^772+1094*p^80*q^740+2562*p^78*q^742+502512*p^76*q ^744+6951668*p^74*q^746+146828506*p^72*q^748+2371668592*p^70*q^750+29397709508* p^68*q^752+188278440342*p^66*q^754+295919286684*p^64*q^756+85277741756*p^62*q^ 758+8656397412*p^60*q^760+585341204*p^58*q^762+33211100*p^56*q^764+2152902*p^54 *q^766+43048*p^52*q^768+560*p^50*q^770+44*p^81*q^738+16*p^79*q^740+52030*p^77*q ^742+1532760*p^75*q^744+33245514*p^73*q^746+565768081*p^71*q^748+8136162172*p^ 69*q^750+80483816911*p^67*q^752+288393037152*p^65*q^754+197733586040*p^63*q^756 +31272052428*p^61*q^758+2500848487*p^59*q^760+158754290*p^57*q^762+9169602*p^55 *q^764+384860*p^53*q^766+6070*p^51*q^768+168*p^49*q^770+2866*p^80*q^738+1560*p^ 78*q^740+410028*p^76*q^742+6093922*p^74*q^744+128755028*p^72*q^746+2062282634*p ^70*q^748+25816989742*p^68*q^750+175637915088*p^66*q^752+299256711502*p^64*q^ 754+94822200431*p^62*q^756+9937501218*p^60*q^758+690717520*p^58*q^760+40614844* p^56*q^762+2651820*p^54*q^764+81400*p^52*q^766+1202*p^50*q^768+46*p^81*q^736+ 1320*p^79*q^738+32462*p^77*q^740+1548100*p^75*q^742+27432092*p^73*q^744+ 482120832*p^71*q^746+7088242468*p^69*q^748+71538179252*p^67*q^750+280605795958* p^65*q^752+209735914876*p^63*q^754+35610064116*p^61*q^756+2892023604*p^59*q^758 +185306204*p^57*q^760+10182712*p^55*q^762+561786*p^53*q^764+4972*p^51*q^766+26* p^49*q^768+932*p^80*q^736+558*p^78*q^738+266748*p^76*q^740+4727824*p^74*q^742+ 109894312*p^72*q^744+1764973064*p^70*q^746+22706551945*p^68*q^748+161507676918* p^66*q^750+305755799034*p^64*q^752+103951931744*p^62*q^754+11407689491*p^60*q^ 756+795679824*p^58*q^758+47547506*p^56*q^760+2972276*p^54*q^762+68036*p^52*q^ 764+1060*p^50*q^766+8*p^48*q^768+6774*p^79*q^736+16796*p^77*q^738+1483142*p^75* q^740+23355520*p^73*q^742+416037752*p^71*q^744+6156024052*p^69*q^746+ 64535633553*p^67*q^748+268168175016*p^65*q^750+223272123217*p^63*q^752+ 39914329424*p^61*q^754+3343749303*p^59*q^756+213767800*p^57*q^758+11463468*p^55 *q^760+758358*p^53*q^762+15266*p^51*q^764+172*p^49*q^766+616*p^80*q^734+2138*p^ 78*q^736+212776*p^76*q^738+4410766*p^74*q^740+94676896*p^72*q^742+1536478442*p^ 70*q^744+19863029584*p^68*q^746+149300914728*p^66*q^748+305713032894*p^64*q^750 +114840623489*p^62*q^752+13056340202*p^60*q^754+933531576*p^58*q^756+57537250*p ^56*q^758+3499048*p^54*q^760+113412*p^52*q^762+682*p^50*q^764+6032*p^79*q^734+ 8934*p^77*q^736+1165532*p^75*q^738+18924134*p^73*q^740+355192560*p^71*q^742+ 5333279794*p^69*q^744+57135293696*p^67*q^746+258475735221*p^65*q^748+ 234025471842*p^63*q^750+45274128637*p^61*q^752+3853569578*p^59*q^754+249624414* p^57*q^756+13209784*p^55*q^758+929246*p^53*q^760+12000*p^51*q^762+128*p^49*q^ 764+107*p^80*q^732+9376*p^78*q^734+133736*p^76*q^736+4209722*p^74*q^738+ 80870588*p^72*q^740+1315274294*p^70*q^742+17457692315*p^68*q^744+136236179594*p ^66*q^746+308734325396*p^64*q^748+124949371066*p^62*q^750+14960952225*p^60*q^ 752+1076164596*p^58*q^754+66453209*p^56*q^756+3761988*p^54*q^758+169362*p^52*q^ 760+1708*p^50*q^762+12*p^48*q^764+4022*p^79*q^732+7926*p^77*q^734+933622*p^75*q ^736+15439704*p^73*q^738+306429647*p^71*q^740+4621378786*p^69*q^742+51116405594 *p^67*q^744+244708771546*p^65*q^746+247048654200*p^63*q^748+50482513966*p^61*q^ 750+4457449520*p^59*q^752+289919020*p^57*q^754+16219242*p^55*q^756+1094642*p^53 *q^758+15444*p^51*q^760+126*p^49*q^762+17702*p^78*q^732+81282*p^76*q^734+ 3943064*p^74*q^736+69506324*p^72*q^738+1140969578*p^70*q^740+15225266202*p^68*q ^742+125076683442*p^66*q^744+305549736822*p^64*q^746+136900584802*p^62*q^748+ 17025285234*p^60*q^750+1257980826*p^58*q^752+77442464*p^56*q^754+3910784*p^54*q ^756+253106*p^52*q^758+2600*p^50*q^760+8*p^48*q^762+2000*p^79*q^730+15186*p^77* q^732+743896*p^75*q^734+13259991*p^73*q^736+263666298*p^71*q^738+4010117504*p^ 69*q^740+45130419704*p^67*q^742+232951148799*p^65*q^744+256302994780*p^63*q^746 +57005194425*p^61*q^748+5142861908*p^59*q^750+339087108*p^57*q^752+19885844*p^ 55*q^754+1394996*p^53*q^756+27872*p^51*q^758+72*p^49*q^760+44*p^80*q^728+16436* p^78*q^730+48986*p^76*q^732+3328142*p^74*q^734+57425860*p^72*q^736+970638502*p^ 70*q^738+13317388726*p^68*q^740+113132844756*p^66*q^742+305163727744*p^64*q^744 +147959597116*p^62*q^746+19472562761*p^60*q^748+1445495008*p^58*q^750+89859094* p^56*q^752+4254664*p^54*q^754+289290*p^52*q^756+1056*p^50*q^758+12*p^48*q^760+ 156*p^79*q^728+28482*p^77*q^730+502140*p^75*q^732+11785830*p^73*q^734+227707024 *p^71*q^736+3477051730*p^69*q^738+40231281334*p^67*q^740+218843193184*p^65*q^ 742+267491809609*p^63*q^744+63185507160*p^61*q^746+5922871950*p^59*q^748+ 393170410*p^57*q^750+23144836*p^55*q^752+1413128*p^53*q^754+49812*p^51*q^756+ 452*p^49*q^758+14042*p^78*q^728+60516*p^76*q^730+2934308*p^74*q^732+48768386*p^ 72*q^734+845855902*p^70*q^736+11595099068*p^68*q^738+103162875631*p^66*q^740+ 298391026496*p^64*q^742+160683025911*p^62*q^744+22115178492*p^60*q^746+ 1691125876*p^58*q^748+105619736*p^56*q^750+5432498*p^54*q^752+430796*p^52*q^754 +3280*p^50*q^756+684*p^79*q^726+41470*p^77*q^728+334200*p^75*q^730+10696800*p^ 73*q^732+194683348*p^71*q^734+3005217049*p^69*q^736+35324148500*p^67*q^738+ 206273738348*p^65*q^740+274955846488*p^63*q^742+70972130523*p^61*q^744+ 6806361276*p^59*q^746+460556767*p^57*q^748+27647126*p^55*q^750+1422426*p^53*q^ 752+71102*p^51*q^754+12*p^49*q^756+3652*p^78*q^726+49784*p^76*q^728+2293526*p^ 74*q^730+39613500*p^72*q^732+718358532*p^70*q^734+10115205044*p^68*q^736+ 92701801548*p^66*q^738+294991675815*p^64*q^740+172072470004*p^62*q^742+ 25162997404*p^60*q^744+1944793954*p^58*q^746+120784581*p^56*q^748+6241158*p^54* q^750+501278*p^52*q^752+5792*p^50*q^754+36*p^48*q^756+72*p^79*q^724+52022*p^77* q^726+286542*p^75*q^728+9509864*p^73*q^730+169304642*p^71*q^732+2605149682*p^69 *q^734+31410671734*p^67*q^736+191785685374*p^65*q^738+283900921920*p^63*q^740+ 78285862922*p^61*q^742+7845410318*p^59*q^744+532945546*p^57*q^746+32553246*p^55 *q^748+1494062*p^53*q^750+94036*p^51*q^752+228*p^49*q^754+4800*p^78*q^724+72624 *p^76*q^726+1761150*p^74*q^728+34996150*p^72*q^730+623635408*p^70*q^732+ 8792332860*p^68*q^734+83935291015*p^66*q^736+285205015760*p^64*q^738+ 185446149237*p^62*q^740+28462254566*p^60*q^742+2268692828*p^58*q^744+142439480* p^56*q^746+7915178*p^54*q^748+588550*p^52*q^750+14688*p^50*q^752+29027*p^77*q^ 724+223946*p^75*q^726+8236400*p^73*q^728+140604624*p^71*q^730+2246476350*p^69*q ^732+27464127766*p^67*q^734+179359550677*p^65*q^736+288316552854*p^63*q^738+ 87278711482*p^61*q^740+8989769216*p^59*q^742+622327799*p^57*q^744+37696372*p^55 *q^746+1641866*p^53*q^748+138046*p^51*q^750+292*p^49*q^752+1868*p^78*q^722+ 115819*p^76*q^724+1329802*p^74*q^726+30044114*p^72*q^728+537598166*p^70*q^730+ 7672720649*p^68*q^732+75018362146*p^66*q^734+278829976695*p^64*q^736+ 196627553650*p^62*q^738+32337120669*p^60*q^740+2603102290*p^58*q^742+164887523* p^56*q^744+9462578*p^54*q^746+557766*p^52*q^748+15988*p^50*q^750+4*p^48*q^752+ 22764*p^77*q^722+175580*p^75*q^724+6945900*p^73*q^726+120057397*p^71*q^728+ 1932320502*p^69*q^730+24255521073*p^67*q^732+165296731452*p^65*q^734+ 294917370000*p^63*q^736+95645048382*p^61*q^738+10327242251*p^59*q^740+723648696 *p^57*q^742+43788834*p^55*q^744+1941192*p^53*q^746+193514*p^51*q^748+1788*p^49* q^750+230*p^78*q^720+114308*p^76*q^722+1119160*p^74*q^724+26585588*p^72*q^726+ 465852234*p^70*q^728+6675777918*p^68*q^730+67605209112*p^66*q^732+267002932664* p^64*q^734+209970049896*p^62*q^736+36344718754*p^60*q^738+3026837287*p^58*q^740 +192534102*p^56*q^742+11405888*p^54*q^744+538200*p^52*q^746+26652*p^50*q^748+40 *p^79*q^718+17720*p^77*q^720+217878*p^75*q^722+5612690*p^73*q^724+101750188*p^ 71*q^726+1673412225*p^69*q^728+21170988584*p^67*q^730+152896008560*p^65*q^732+ 296098863670*p^63*q^734+105987871275*p^61*q^736+11805947848*p^59*q^738+ 847103703*p^57*q^740+51217754*p^55*q^742+2517474*p^53*q^744+240166*p^51*q^746+ 2998*p^49*q^748+196*p^78*q^718+87116*p^76*q^720+796208*p^74*q^722+23049684*p^72 *q^724+395288188*p^70*q^726+5781487041*p^68*q^728+60074709978*p^66*q^730+ 258133863768*p^64*q^732+220719088844*p^62*q^734+41170159277*p^60*q^736+ 3477029498*p^58*q^738+222796606*p^56*q^740+13321208*p^54*q^742+527600*p^52*q^ 744+40180*p^50*q^746+72*p^48*q^748+4280*p^77*q^718+270581*p^75*q^720+4642372*p^ 73*q^722+86517038*p^71*q^724+1443608076*p^69*q^726+18707987261*p^67*q^728+ 139992070934*p^65*q^730+299159483789*p^63*q^732+115282663928*p^61*q^734+ 13518799531*p^59*q^736+971127306*p^57*q^738+58767462*p^55*q^740+3012484*p^53*q^ 742+211004*p^51*q^744+3152*p^49*q^746+504*p^78*q^716+89078*p^76*q^718+700831*p^ 74*q^720+20146722*p^72*q^722+344240752*p^70*q^724+5027138680*p^68*q^726+ 53769818071*p^66*q^728+244759763384*p^64*q^730+233160776709*p^62*q^732+ 46079205484*p^60*q^734+4043949309*p^58*q^736+266188056*p^56*q^738+16165313*p^54 *q^740+610204*p^52*q^742+80060*p^50*q^744+504*p^48*q^746+3414*p^77*q^716+262536 *p^75*q^718+3683456*p^73*q^720+75008208*p^71*q^722+1244231263*p^69*q^724+ 16242319824*p^67*q^726+128674009092*p^65*q^728+297172304808*p^63*q^730+ 126684129745*p^61*q^732+15422876744*p^59*q^734+1134463150*p^57*q^736+67548522*p ^55*q^738+3750238*p^53*q^740+233158*p^51*q^742+4824*p^49*q^744+72*p^78*q^714+ 40360*p^76*q^716+614062*p^74*q^718+16730476*p^72*q^720+287315298*p^70*q^722+ 4352950230*p^68*q^724+47553555358*p^66*q^726+234115975305*p^64*q^728+ 242832858848*p^62*q^730+51888147914*p^60*q^732+4625580114*p^58*q^734+306968162* p^56*q^736+18320308*p^54*q^738+692784*p^52*q^740+72968*p^50*q^742+180*p^48*q^ 744+2944*p^77*q^714+287804*p^75*q^716+3005184*p^73*q^718+65536550*p^71*q^720+ 1081286886*p^69*q^722+14316971883*p^67*q^724+116789251404*p^65*q^726+ 297478305315*p^63*q^728+136727078766*p^61*q^730+17601671897*p^59*q^732+ 1308360802*p^57*q^734+79421445*p^55*q^736+4649930*p^53*q^738+195214*p^51*q^740+ 16884*p^49*q^742+40*p^47*q^744+28422*p^76*q^714+667734*p^74*q^716+14321752*p^72 *q^718+248891560*p^70*q^720+3767044876*p^68*q^722+42390745709*p^66*q^724+ 219589478740*p^64*q^726+253846734210*p^62*q^728+57827027810*p^60*q^730+ 5376670244*p^58*q^732+360758950*p^56*q^734+21228272*p^54*q^736+901670*p^52*q^ 738+99382*p^50*q^740+288*p^48*q^742+1860*p^77*q^712+214470*p^75*q^714+2328725*p ^73*q^716+55960208*p^71*q^718+928917025*p^69*q^720+12428350138*p^67*q^722+ 106546945022*p^65*q^724+291928039570*p^63*q^726+149305184832*p^61*q^728+ 19988771778*p^59*q^730+1519844574*p^57*q^732+93166962*p^55*q^734+5733482*p^53*q ^736+172170*p^51*q^738+20108*p^49*q^740+8*p^78*q^710+16068*p^76*q^712+714104*p^ 74*q^714+11811899*p^72*q^716+211680540*p^70*q^718+3265502290*p^68*q^720+ 37333013452*p^66*q^722+208152807570*p^64*q^724+261213407334*p^62*q^726+ 64729227239*p^60*q^728+6137038878*p^58*q^730+417737694*p^56*q^732+24001898*p^54 *q^734+1119656*p^52*q^736+103160*p^50*q^738+1900*p^48*q^740+292*p^77*q^710+ 152052*p^75*q^712+1998862*p^73*q^714+48340836*p^71*q^716+797358826*p^69*q^718+ 10904728654*p^67*q^720+96096382784*p^65*q^722+288920664827*p^63*q^724+ 159784042292*p^61*q^726+22810436144*p^59*q^728+1758364764*p^57*q^730+109851634* p^55*q^732+6667474*p^53*q^734+186298*p^51*q^736+26010*p^49*q^738+15032*p^76*q^ 710+705666*p^74*q^712+9784114*p^72*q^714+184153952*p^70*q^716+2830140146*p^68*q ^718+33146599244*p^66*q^720+193680294540*p^64*q^722+270565089041*p^62*q^724+ 71555894004*p^60*q^726+7090779329*p^58*q^728+483238750*p^56*q^730+27699284*p^54 *q^732+1517894*p^52*q^734+74810*p^50*q^736+4364*p^48*q^738+8*p^79*q^706+288*p^ 77*q^708+101104*p^75*q^710+1927796*p^73*q^712+41610662*p^71*q^714+685153098*p^ 69*q^716+9453004524*p^67*q^718+87022176246*p^65*q^720+280452919526*p^63*q^722+ 172757110101*p^61*q^724+25822085028*p^59*q^726+2050836190*p^57*q^728+131283796* p^55*q^730+7875052*p^53*q^732+232408*p^51*q^734+46660*p^49*q^736+84*p^47*q^738+ 36*p^78*q^706+6218*p^76*q^708+590556*p^74*q^710+7670356*p^72*q^712+156014074*p^ 70*q^714+2447715662*p^68*q^716+29068904396*p^66*q^718+181588566354*p^64*q^720+ 275767921678*p^62*q^722+79812460037*p^60*q^724+8083986774*p^58*q^726+559247993* p^56*q^728+31337432*p^54*q^730+1912758*p^52*q^732+50698*p^50*q^734+3410*p^48*q^ 736+4*p^79*q^704+16*p^77*q^706+71252*p^75*q^708+1798930*p^73*q^710+35433949*p^ 71*q^712+589170244*p^69*q^714+8267131866*p^67*q^716+78073354702*p^65*q^718+ 274632988622*p^63*q^720+183242492718*p^61*q^722+29291505037*p^59*q^724+ 2354940136*p^57*q^726+151795696*p^55*q^728+8773650*p^53*q^730+299626*p^51*q^732 +40076*p^49*q^734+628*p^47*q^736+88*p^78*q^704+3826*p^76*q^706+498398*p^74*q^ 708+6892318*p^72*q^710+136350982*p^70*q^712+2121320430*p^68*q^714+25770445657*p ^66*q^716+167555208230*p^64*q^718+281991198533*p^62*q^720+87737034330*p^60*q^ 722+9337098531*p^58*q^724+654438962*p^56*q^726+38524088*p^54*q^728+2454390*p^52 *q^730+47384*p^50*q^732+12878*p^48*q^734+8*p^79*q^702+460*p^77*q^704+55682*p^75 *q^706+1757536*p^73*q^708+29115080*p^71*q^710+507076552*p^69*q^712+7151093444*p ^67*q^714+70182929310*p^65*q^716+263765662988*p^63*q^718+196420643079*p^61*q^ 720+32998108120*p^59*q^722+2738479558*p^57*q^724+177648098*p^55*q^726+9619448*p ^53*q^728+436238*p^51*q^730+32556*p^49*q^732+152*p^47*q^734+68*p^78*q^702+1180* p^76*q^704+307526*p^74*q^706+5466288*p^72*q^708+116505842*p^70*q^710+1822748902 *p^68*q^712+22503420622*p^66*q^714+155919127548*p^64*q^716+284470680584*p^62*q^ 718+97048413491*p^60*q^720+10631981314*p^58*q^722+755206236*p^56*q^724+44905134 *p^54*q^726+2844987*p^52*q^728+43752*p^50*q^730+15232*p^48*q^732+40*p^46*q^734+ 456*p^77*q^702+31542*p^75*q^704+1723062*p^73*q^706+25354325*p^71*q^708+ 435056540*p^69*q^710+6269691355*p^67*q^712+62667094256*p^65*q^714+255455628205* p^63*q^716+206363611940*p^61*q^718+37305017150*p^59*q^720+3140571488*p^57*q^722 +205386514*p^55*q^724+10860930*p^53*q^726+628304*p^51*q^728+13848*p^49*q^730+ 1874*p^47*q^732+128*p^78*q^700+2668*p^76*q^702+283498*p^74*q^704+4980244*p^72*q ^706+100182848*p^70*q^708+1580905842*p^68*q^710+19854294608*p^66*q^712+ 142450369786*p^64*q^714+288079894745*p^62*q^716+106004083064*p^60*q^718+ 12246979732*p^58*q^720+882204388*p^56*q^722+55109078*p^54*q^724+3320674*p^52*q^ 726+73218*p^50*q^728+19314*p^48*q^730+544*p^77*q^700+17508*p^75*q^702+1294492*p ^73*q^704+20827288*p^71*q^706+374192246*p^69*q^708+5401599908*p^67*q^710+ 56085080902*p^65*q^712+242878035722*p^63*q^714+218930732539*p^61*q^716+ 41823832942*p^59*q^718+3638830415*p^57*q^720+238156678*p^55*q^722+12327524*p^53 *q^724+803218*p^51*q^726+6590*p^49*q^728+3708*p^47*q^730+8*p^78*q^698+2648*p^76 *q^700+195214*p^74*q^702+4808298*p^72*q^704+85395528*p^70*q^706+1363893518*p^68 *q^708+17322420382*p^66*q^710+131560616603*p^64*q^712+286800931036*p^62*q^714+ 116527566380*p^60*q^716+13900223632*p^58*q^718+1023233717*p^56*q^720+63830458*p ^54*q^722+3645790*p^52*q^724+116236*p^50*q^726+10168*p^48*q^728+102*p^46*q^730+ 920*p^77*q^698+12402*p^75*q^700+1076964*p^73*q^702+17016557*p^71*q^704+ 322085914*p^69*q^706+4708398435*p^67*q^708+49780839116*p^65*q^710+232874580999* p^63*q^712+227926044698*p^61*q^714+47091713841*p^59*q^716+4174706540*p^57*q^718 +275987676*p^55*q^720+15100630*p^53*q^722+995740*p^51*q^724+8188*p^49*q^726+ 6312*p^47*q^728+2400*p^76*q^698+132178*p^74*q^700+4419870*p^72*q^702+74544060*p ^70*q^704+1177077280*p^68*q^706+15257577067*p^66*q^708+119447441646*p^64*q^710+ 287583741388*p^62*q^712+125977262238*p^60*q^714+15930956304*p^58*q^716+ 1187750258*p^56*q^718+75234396*p^54*q^720+3728140*p^52*q^722+183056*p^50*q^724+ 1800*p^48*q^726+576*p^46*q^728+336*p^77*q^696+17268*p^75*q^698+900251*p^73*q^ 700+14770856*p^71*q^702+276606187*p^69*q^704+4069820400*p^67*q^706+44319654488* p^65*q^708+219147431610*p^63*q^710+239302846771*p^61*q^712+52551179488*p^59*q^ 714+4847102861*p^57*q^716+321817892*p^55*q^718+18740518*p^53*q^720+1316046*p^51 *q^722+14732*p^49*q^724+7326*p^47*q^726+8*p^78*q^694+4092*p^76*q^696+74838*p^74 *q^698+3682665*p^72*q^700+61469130*p^70*q^702+1010741938*p^68*q^704+13250861290 *p^66*q^706+109257610222*p^64*q^708+283396997076*p^62*q^710+137679400254*p^60*q ^712+18022885762*p^58*q^714+1370453572*p^56*q^716+86748306*p^54*q^718+3954450*p ^52*q^720+220472*p^50*q^722+494*p^48*q^724+952*p^46*q^726+24*p^77*q^694+9264*p^ 75*q^696+669950*p^73*q^698+13163632*p^71*q^700+239292192*p^69*q^702+3552086508* p^67*q^704+39227789380*p^65*q^706+208095170195*p^63*q^708+246595143160*p^61*q^ 710+58789745045*p^59*q^712+5533895148*p^57*q^714+373921317*p^55*q^716+22085324* p^53*q^718+1386666*p^51*q^720+29168*p^49*q^722+1256*p^47*q^724+44*p^45*q^726+ 3438*p^76*q^694+88032*p^74*q^696+3294680*p^72*q^698+52781968*p^70*q^700+ 874734470*p^68*q^702+11635278613*p^66*q^704+98647727676*p^64*q^706+280445714436 *p^62*q^708+147642273904*p^60*q^710+20650568833*p^58*q^712+1595476606*p^56*q^ 714+101515368*p^54*q^716+4952586*p^52*q^718+362534*p^50*q^720+1348*p^48*q^722+ 3036*p^46*q^724+172*p^77*q^692+13604*p^75*q^694+460138*p^73*q^696+11786434*p^71 *q^698+205751518*p^69*q^700+3056447870*p^67*q^702+34788552709*p^65*q^704+ 193938124824*p^63*q^706+256178945859*p^61*q^708+65289868052*p^59*q^710+ 6390962159*p^57*q^712+434907662*p^55*q^714+27027340*p^53*q^716+1382912*p^51*q^ 718+39996*p^49*q^720+12*p^47*q^722+44*p^45*q^724+788*p^76*q^692+52982*p^74*q^ 694+2640696*p^72*q^696+43069834*p^70*q^698+747842963*p^68*q^700+10085941868*p^ 66*q^702+89627781910*p^64*q^704+273732127688*p^62*q^706+159678864491*p^60*q^708 +23238652754*p^58*q^710+1845941566*p^56*q^712+115574846*p^54*q^714+5608218*p^52 *q^716+457378*p^50*q^718+2482*p^48*q^720+1088*p^46*q^722+16*p^77*q^690+16730*p^ 75*q^692+384856*p^73*q^694+10587604*p^71*q^696+178653290*p^69*q^698+2669745042* p^67*q^700+30662919206*p^65*q^702+182591472993*p^63*q^704+261158323598*p^61*q^ 706+72640757616*p^59*q^708+7307350216*p^57*q^710+506083881*p^55*q^712+31717016* p^53*q^714+1458696*p^51*q^716+65084*p^49*q^718+88*p^47*q^720+642*p^45*q^722+ 1632*p^76*q^690+47240*p^74*q^692+2159024*p^72*q^694+38001959*p^70*q^696+ 647033826*p^68*q^698+8843075039*p^66*q^700+80302779488*p^64*q^702+268089924663* p^62*q^704+169956356358*p^60*q^706+26491301325*p^58*q^708+2133839770*p^56*q^710 +135532127*p^54*q^712+7435986*p^52*q^714+540100*p^50*q^716+6172*p^48*q^718+9016 *p^75*q^690+306104*p^73*q^692+9007216*p^71*q^694+149954774*p^69*q^696+ 2290124818*p^67*q^698+27081712446*p^65*q^700+168584897932*p^63*q^702+ 268602070708*p^61*q^704+80064759198*p^59*q^706+8417744820*p^57*q^708+590430476* p^55*q^710+37094866*p^53*q^712+1397710*p^51*q^714+106370*p^49*q^716+72*p^47*q^ 718+594*p^45*q^720+524*p^76*q^688+54360*p^74*q^690+1632974*p^72*q^692+32914402* p^70*q^694+560683341*p^68*q^696+7672933742*p^66*q^698+72591369556*p^64*q^700+ 258428334578*p^62*q^702+182277341255*p^60*q^704+29770380570*p^58*q^706+ 2459910179*p^56*q^708+155444732*p^54*q^710+9052604*p^52*q^712+592828*p^50*q^714 +8122*p^48*q^716+4*p^46*q^718+54*p^44*q^720+9770*p^75*q^688+212332*p^73*q^690+ 7857348*p^71*q^692+127407248*p^69*q^694+1984331450*p^67*q^696+23751726468*p^65* q^698+157278049227*p^63*q^700+270717170814*p^61*q^702+88616964117*p^59*q^704+ 9580212968*p^57*q^706+690462367*p^55*q^708+42484332*p^53*q^710+1699728*p^51*q^ 712+145790*p^49*q^714+568*p^47*q^716+84*p^76*q^686+47774*p^74*q^688+1416178*p^ 72*q^690+29013348*p^70*q^692+485109006*p^68*q^694+6725946187*p^66*q^696+ 64839562410*p^64*q^698+250661497847*p^62*q^700+191910323584*p^60*q^702+ 33772020117*p^58*q^704+2840563474*p^56*q^706+181557408*p^54*q^708+11275754*p^52 *q^710+524804*p^50*q^712+16324*p^48*q^714+184*p^44*q^718+8*p^77*q^684+6500*p^75 *q^686+193848*p^73*q^688+6431302*p^71*q^690+108909220*p^69*q^692+1708789964*p^ 67*q^694+20912356908*p^65*q^696+143935535608*p^63*q^698+275288886087*p^61*q^700 +96894040522*p^59*q^702+11035818686*p^57*q^704+801043554*p^55*q^706+49381914*p^ 53*q^708+2209718*p^51*q^710+219016*p^49*q^712+1036*p^47*q^714+60*p^76*q^684+ 45662*p^74*q^686+1011764*p^72*q^688+25153232*p^70*q^690+414532877*p^68*q^692+ 5798085826*p^66*q^694+58156967690*p^64*q^696+239453260360*p^62*q^698+ 204034762018*p^60*q^700+37800602358*p^58*q^702+3274435953*p^56*q^704+211844404* p^54*q^706+13238556*p^52*q^708+448538*p^50*q^710+23002*p^48*q^712+16*p^46*q^714 +1752*p^75*q^684+164678*p^73*q^686+5418764*p^71*q^688+92741482*p^69*q^690+ 1484972802*p^67*q^692+18345660732*p^65*q^694+133222871534*p^63*q^696+ 274549540610*p^61*q^698+106506271141*p^59*q^700+12489974250*p^57*q^702+ 926196613*p^55*q^704+55201800*p^53*q^706+2824088*p^51*q^708+230168*p^49*q^710+ 1424*p^47*q^712+30*p^43*q^716+120*p^76*q^682+42862*p^74*q^684+871184*p^72*q^686 +22234186*p^70*q^688+360094504*p^68*q^690+5078036067*p^66*q^692+51638787110*p^ 64*q^694+229533909887*p^62*q^696+212883274110*p^60*q^698+42663675268*p^58*q^700 +3785879228*p^56*q^702+252997386*p^54*q^704+16084784*p^52*q^706+498752*p^50*q^ 708+52552*p^48*q^710+116*p^46*q^712+1390*p^75*q^682+173958*p^73*q^684+4379930*p ^71*q^686+80559580*p^69*q^688+1275443454*p^67*q^690+16084264396*p^65*q^692+ 121143915850*p^63*q^694+275907264600*p^61*q^696+115599777364*p^59*q^698+ 14366550910*p^57*q^700+1071467794*p^55*q^702+63776844*p^53*q^704+3656750*p^51*q ^706+216984*p^49*q^708+1914*p^47*q^710+28*p^76*q^680+19156*p^74*q^682+612128*p^ 72*q^684+18518772*p^70*q^686+302558878*p^68*q^688+4372743332*p^66*q^690+ 46140289623*p^64*q^692+216982992104*p^62*q^694+223990852141*p^60*q^696+ 47532616520*p^58*q^698+4343530381*p^56*q^700+291924366*p^54*q^702+17967854*p^52 *q^704+558266*p^50*q^706+69734*p^48*q^708+52*p^46*q^710+2*p^42*q^714+884*p^75*q ^680+179070*p^73*q^682+3649219*p^71*q^684+70618382*p^69*q^686+1116134441*p^67*q ^688+14085341516*p^65*q^690+111251270686*p^63*q^692+272488461842*p^61*q^694+ 125942687505*p^59*q^696+16223140076*p^57*q^698+1241622726*p^55*q^700+74753330*p ^53*q^702+4620272*p^51*q^704+175068*p^49*q^706+7510*p^47*q^708+4*p^45*q^710+2*p ^78*q^676+15192*p^74*q^680+593540*p^72*q^682+16169894*p^70*q^684+260834296*p^68 *q^686+3813131597*p^66*q^688+40755134496*p^64*q^690+206095371311*p^62*q^692+ 231131182040*p^60*q^694+53420101180*p^58*q^696+5007238812*p^56*q^698+345053148* p^54*q^700+20388786*p^52*q^702+827932*p^50*q^704+91242*p^48*q^706+54*p^46*q^708 +636*p^75*q^678+126124*p^73*q^680+2780276*p^71*q^682+60448630*p^69*q^684+ 955908542*p^67*q^686+12330844246*p^65*q^688+100421070896*p^63*q^690+ 270859118409*p^61*q^692+135809009342*p^59*q^694+18555689995*p^57*q^696+ 1434631882*p^55*q^698+87807277*p^53*q^700+5757952*p^51*q^702+117912*p^49*q^704+ 13274*p^47*q^706+8*p^78*q^674+24*p^76*q^676+7088*p^74*q^678+579068*p^72*q^680+ 13485014*p^70*q^682+224416610*p^68*q^684+3287772590*p^66*q^686+36281877405*p^64 *q^688+192784777144*p^62*q^690+240749103241*p^60*q^692+59077485544*p^58*q^694+ 5752053978*p^56*q^696+396639010*p^54*q^698+22818650*p^52*q^700+1041568*p^50*q^ 702+98312*p^48*q^704+532*p^46*q^706+22*p^77*q^674+144*p^75*q^676+99230*p^73*q^ 678+2202090*p^71*q^680+52498208*p^69*q^682+824755448*p^67*q^684+10752332560*p^ 65*q^686+91584143671*p^63*q^688+264406285882*p^61*q^690+146894702996*p^59*q^692 +20962857058*p^57*q^694+1663565108*p^55*q^696+104004556*p^53*q^698+6697546*p^51 *q^700+153534*p^49*q^702+20512*p^47*q^704+5748*p^74*q^676+525438*p^72*q^678+ 11404986*p^70*q^680+194381574*p^68*q^682+2872918777*p^66*q^684+31963326944*p^64 *q^686+181650896258*p^62*q^688+245682908086*p^60*q^690+65945675128*p^58*q^692+ 6572975546*p^56*q^694+461990322*p^54*q^696+25793722*p^52*q^698+1487516*p^50*q^ 700+58512*p^48*q^702+1786*p^46*q^704+112*p^77*q^672+364*p^75*q^674+62456*p^73*q ^676+1992606*p^71*q^678+45615953*p^69*q^680+707116030*p^67*q^682+9398001119*p^ 65*q^684+82136859474*p^63*q^686+259880493800*p^61*q^688+156708676506*p^59*q^690 +23913567934*p^57*q^692+1931175840*p^55*q^694+125035306*p^53*q^696+7818730*p^51 *q^698+194284*p^49*q^700+38932*p^47*q^702+12*p^45*q^704+108*p^76*q^672+3186*p^ 74*q^674+452732*p^72*q^676+8801456*p^70*q^678+165543888*p^68*q^680+2474382342*p ^66*q^682+28280231845*p^64*q^684+168424870650*p^62*q^686+253597122547*p^60*q^ 688+72578281152*p^58*q^690+7548099419*p^56*q^692+530274504*p^54*q^694+29325726* p^52*q^696+1886460*p^50*q^698+35874*p^48*q^700+1940*p^46*q^702+8*p^77*q^670+44* p^75*q^672+36504*p^73*q^674+1684434*p^71*q^676+39346128*p^69*q^678+613449096*p^ 67*q^680+8171356700*p^65*q^682+74458995710*p^63*q^684+251213686410*p^61*q^686+ 168004512707*p^59*q^688+26820071132*p^57*q^690+2221000653*p^55*q^692+144755988* p^53*q^694+8408622*p^51*q^696+269570*p^49*q^698+35020*p^47*q^700+144*p^45*q^702 +660*p^76*q^670+2834*p^74*q^672+380772*p^72*q^674+7724980*p^70*q^676+145008286* p^68*q^678+2155599287*p^66*q^680+24908073248*p^64*q^682+157018381046*p^62*q^684 +255942902782*p^60*q^686+80599619671*p^58*q^688+8629504418*p^56*q^690+625188712 *p^54*q^692+35860678*p^52*q^694+2526148*p^50*q^696+36664*p^48*q^698+8306*p^46*q ^700+8*p^77*q^668+426*p^75*q^670+31280*p^73*q^672+1596362*p^71*q^674+32736032*p ^69*q^676+524339474*p^67*q^678+7131340040*p^65*q^680+66339808414*p^63*q^682+ 244089900432*p^61*q^684+177743297422*p^59*q^686+30473075668*p^57*q^688+ 2565007522*p^55*q^690+169015650*p^53*q^692+9194068*p^51*q^694+401644*p^49*q^696 +21608*p^47*q^698+40*p^45*q^700+268*p^76*q^668+1288*p^74*q^670+221092*p^72*q^ 672+5929642*p^70*q^674+124852722*p^68*q^676+1849528534*p^66*q^678+21955366486*p ^64*q^680+144604432596*p^62*q^682+260937019488*p^60*q^684+88088364668*p^58*q^ 686+9890812783*p^56*q^688+715912256*p^54*q^690+42674782*p^52*q^692+2812968*p^50 *q^694+32034*p^48*q^696+12328*p^46*q^698+4*p^44*q^700+2078*p^75*q^668+19534*p^ 73*q^670+1526652*p^71*q^672+28222812*p^69*q^674+453931291*p^67*q^676+6206803982 *p^65*q^678+59865847248*p^63*q^680+233494024380*p^61*q^682+188671805570*p^59*q^ 684+34051208416*p^57*q^686+2955421671*p^55*q^688+196092944*p^53*q^690+9951930*p ^51*q^692+623996*p^49*q^694+10848*p^47*q^696+828*p^45*q^698+120*p^76*q^666+1888 *p^74*q^668+194136*p^72*q^670+5219236*p^70*q^672+108226296*p^68*q^674+ 1614523802*p^66*q^676+19228911102*p^64*q^678+133714176019*p^62*q^680+ 260848297980*p^60*q^682+97016091050*p^58*q^684+11281214416*p^56*q^686+838529803 *p^54*q^688+51677030*p^52*q^690+3346875*p^50*q^692+62794*p^48*q^694+12092*p^46* q^696+2288*p^75*q^666+14070*p^73*q^668+1142008*p^71*q^670+23103240*p^69*q^672+ 389463532*p^67*q^674+5394276706*p^65*q^676+53072715082*p^63*q^678+224725564190* p^61*q^680+197570121466*p^59*q^682+38494049743*p^57*q^684+3396268472*p^55*q^686 +228479539*p^53*q^688+11500312*p^51*q^690+791378*p^49*q^692+3552*p^47*q^694+ 2348*p^45*q^696+32*p^76*q^664+4450*p^74*q^666+132542*p^72*q^668+4823528*p^70*q^ 670+93103940*p^68*q^672+1385279442*p^66*q^674+16935998192*p^64*q^676+ 122019222552*p^62*q^678+263068692748*p^60*q^680+105357848942*p^58*q^682+ 12882404969*p^56*q^684+967924412*p^54*q^686+60465824*p^52*q^688+3479554*p^50*q^ 690+105228*p^48*q^692+7204*p^46*q^694+20*p^44*q^696+1052*p^75*q^664+9664*p^73*q ^666+918582*p^71*q^668+18692822*p^69*q^670+338017878*p^67*q^672+4686428936*p^65 *q^674+47616692815*p^63*q^676+212631706390*p^61*q^678+208026580880*p^59*q^680+ 42841093648*p^57*q^682+3914337826*p^55*q^684+262636554*p^53*q^686+14082096*p^51 *q^688+1012914*p^49*q^690+6556*p^47*q^692+3496*p^45*q^694+8738*p^74*q^664+95606 *p^72*q^666+4356226*p^70*q^668+80925152*p^68*q^670+1205241864*p^66*q^672+ 14806603922*p^64*q^674+112088659489*p^62*q^676+259865736884*p^60*q^678+ 115103684251*p^58*q^680+14617120716*p^56*q^682+1128010970*p^54*q^684+71614750*p ^52*q^686+3494782*p^50*q^688+171578*p^48*q^690+1204*p^46*q^692+252*p^44*q^694+ 708*p^75*q^662+13792*p^73*q^664+736770*p^71*q^666+15952828*p^69*q^668+290723798 *p^67*q^670+4075602494*p^65*q^672+42075363770*p^63*q^674+202598075773*p^61*q^ 676+215280941744*p^59*q^678+48238415006*p^57*q^680+4498917358*p^55*q^682+ 306802700*p^53*q^684+17244650*p^51*q^686+1324820*p^49*q^688+12252*p^47*q^690+ 4152*p^45*q^692+8*p^76*q^660+6356*p^74*q^662+62818*p^72*q^664+3619292*p^70*q^ 666+67105595*p^68*q^668+1030870000*p^66*q^670+12979771139*p^64*q^672+ 101510148776*p^62*q^674+259268169426*p^60*q^676+124025152924*p^58*q^678+ 16672022670*p^56*q^680+1295038414*p^54*q^682+83208565*p^52*q^684+3718362*p^50*q ^686+210450*p^48*q^688+332*p^46*q^690+432*p^44*q^692+48*p^75*q^660+19074*p^73*q ^662+520100*p^71*q^664+13910528*p^69*q^666+253830255*p^67*q^668+3539594934*p^65 *q^670+37574108167*p^63*q^672+190191442766*p^61*q^674+224502953803*p^59*q^676+ 53267890260*p^57*q^678+5163225578*p^55*q^680+355692680*p^53*q^682+20602554*p^51 *q^684+1327658*p^49*q^686+25820*p^47*q^688+1044*p^45*q^690+12*p^43*q^692+5818*p ^74*q^660+68226*p^72*q^662+3149696*p^70*q^664+57226774*p^68*q^666+898999866*p^ 66*q^668+11329405892*p^64*q^670+92592637694*p^62*q^672+253339177554*p^60*q^674+ 134357699640*p^58*q^676+18882255598*p^56*q^678+1512206185*p^54*q^680+96280648*p ^52*q^682+4509032*p^50*q^684+373884*p^48*q^686+1216*p^46*q^688+1296*p^44*q^690+ 200*p^75*q^658+23482*p^73*q^660+397390*p^71*q^662+12358117*p^69*q^664+218230048 *p^67*q^666+3069172610*p^65*q^668+33065817048*p^63*q^670+179135360232*p^61*q^ 672+230170294096*p^59*q^674+59716338555*p^57*q^676+5909648988*p^55*q^678+ 416178277*p^53*q^680+25467948*p^51*q^682+1358644*p^49*q^684+32372*p^47*q^686+4* p^45*q^688+16*p^43*q^690+1710*p^74*q^658+48946*p^72*q^660+2393804*p^70*q^662+ 46587893*p^68*q^664+767282594*p^66*q^666+9909139206*p^64*q^668+83358550250*p^62 *q^670+250062386560*p^60*q^672+143510871884*p^58*q^674+21411679688*p^56*q^676+ 1732405406*p^54*q^678+110042444*p^52*q^680+5103758*p^50*q^682+437276*p^48*q^684 +2186*p^46*q^686+704*p^44*q^688+32*p^75*q^656+25986*p^73*q^658+328526*p^71*q^ 660+10986584*p^69*q^662+190578790*p^67*q^664+2669699824*p^65*q^666+29436087590* p^63*q^668+166728815506*p^61*q^670+237095651570*p^59*q^672+65645580990*p^57*q^ 674+6794619320*p^55*q^676+482942976*p^53*q^678+30198832*p^51*q^680+1333054*p^49 *q^682+66030*p^47*q^684+100*p^45*q^686+184*p^43*q^688+1922*p^74*q^656+60762*p^ 72*q^658+1982402*p^70*q^660+40636152*p^68*q^662+669519837*p^66*q^664+8627821134 *p^64*q^666+75524046237*p^62*q^668+241772548706*p^60*q^670+154222549148*p^58*q^ 672+24139734564*p^56*q^674+2011028374*p^54*q^676+129102636*p^52*q^678+6731415*p ^50*q^680+548316*p^48*q^682+4456*p^46*q^684+16522*p^73*q^656+253160*p^71*q^658+ 9173023*p^69*q^660+159604424*p^67*q^662+2306564245*p^65*q^664+25807697496*p^63* q^666+155819344222*p^61*q^668+240602829016*p^59*q^670+72944436018*p^57*q^672+ 7756793136*p^55*q^674+564824823*p^53*q^676+34685064*p^51*q^678+1314802*p^49*q^ 680+99478*p^47*q^682+72*p^45*q^684+268*p^43*q^686+842*p^74*q^654+74462*p^72*q^ 656+1524402*p^70*q^658+35206852*p^68*q^660+579084240*p^66*q^662+7554140644*p^64 *q^664+67567883508*p^62*q^666+235958186694*p^60*q^668+163191120250*p^58*q^670+ 27340543447*p^56*q^672+2299597264*p^54*q^674+148452327*p^52*q^676+8516572*p^50* q^678+539468*p^48*q^680+6696*p^46*q^682+4*p^44*q^684+8*p^42*q^686+11894*p^73*q^ 654+193370*p^71*q^656+7796684*p^69*q^658+135912714*p^67*q^660+1989980110*p^65*q ^662+22850797195*p^63*q^664+143639394730*p^61*q^666+245516585164*p^59*q^668+ 79750317326*p^57*q^670+8885665359*p^55*q^672+655250604*p^53*q^674+40341884*p^51 *q^676+1474330*p^49*q^678+153400*p^47*q^680+440*p^45*q^682+120*p^74*q^652+75384 *p^72*q^654+1284394*p^70*q^656+30795728*p^68*q^658+505694760*p^66*q^660+ 6585062156*p^64*q^662+61021484307*p^62*q^664+225758168472*p^60*q^666+ 173712317340*p^58*q^668+30652587894*p^56*q^670+2660991838*p^54*q^672+174190742* p^52*q^674+10448984*p^50*q^676+496902*p^48*q^678+14894*p^46*q^680+52*p^42*q^684 +16*p^75*q^650+9838*p^73*q^652+198394*p^71*q^654+6440780*p^69*q^656+115449578*p ^67*q^658+1728573214*p^65*q^660+19969423924*p^63*q^662+133015777962*p^61*q^664+ 245989465524*p^59*q^666+88052066504*p^57*q^668+10125078140*p^55*q^670+766970048 *p^53*q^672+46324174*p^51*q^674+2006244*p^49*q^676+204240*p^47*q^678+488*p^45*q ^680+80*p^74*q^650+57736*p^72*q^652+927152*p^70*q^654+26327880*p^68*q^656+ 431314290*p^66*q^658+5718159094*p^64*q^660+54282719706*p^62*q^662+218294060229* p^60*q^664+182111744966*p^58*q^666+34590274903*p^56*q^668+3048567808*p^54*q^670 +202472034*p^52*q^672+12268572*p^50*q^674+411754*p^48*q^676+25298*p^46*q^678+12 *p^44*q^680+2624*p^73*q^650+211166*p^71*q^652+5345508*p^69*q^654+98997458*p^67* q^656+1497111880*p^65*q^658+17689847627*p^63*q^660+121790583912*p^61*q^662+ 248396498676*p^59*q^664+95417358824*p^57*q^666+11544301997*p^55*q^668+874966924 *p^53*q^670+52873746*p^51*q^672+2593146*p^49*q^674+199450*p^47*q^676+1352*p^45* q^678+4*p^41*q^682+232*p^74*q^648+59874*p^72*q^650+782996*p^70*q^652+23142208*p ^68*q^654+375765713*p^66*q^656+4987215548*p^64*q^658+48631539411*p^62*q^660+ 206756085584*p^60*q^662+192086431137*p^58*q^664+38587349160*p^56*q^666+ 3536138698*p^54*q^668+243157330*p^52*q^670+14835030*p^50*q^672+428622*p^48*q^ 674+54488*p^46*q^676+56*p^44*q^678+4*p^77*q^644+1724*p^73*q^648+209926*p^71*q^ 650+4320198*p^69*q^652+85136302*p^67*q^654+1296924258*p^65*q^656+15402341276*p^ 63*q^658+111939032657*p^61*q^660+246293442156*p^59*q^662+104647979229*p^57*q^ 664+13121562296*p^55*q^666+1017064565*p^53*q^668+60377950*p^51*q^670+3368130*p^ 49*q^672+202420*p^47*q^674+2134*p^45*q^676+32*p^74*q^646+28756*p^72*q^648+ 604968*p^70*q^650+19252596*p^68*q^652+315717752*p^66*q^654+4329950979*p^64*q^ 656+43140739622*p^62*q^658+197527067270*p^60*q^660+199427930976*p^58*q^662+ 43346302597*p^56*q^664+4026102046*p^54*q^666+281052642*p^52*q^668+16747408*p^50 *q^670+500494*p^48*q^672+55692*p^46*q^674+60*p^44*q^676+1572*p^73*q^646+225824* p^71*q^648+3521502*p^69*q^650+74469844*p^67*q^652+1131461124*p^65*q^654+ 13605540735*p^63*q^656+101779498092*p^61*q^658+245863285432*p^59*q^660+ 112552429942*p^57*q^662+14932548120*p^55*q^664+1169344000*p^53*q^666+71356754*p ^51*q^668+4170478*p^49*q^670+142272*p^47*q^672+9464*p^45*q^674+4*p^43*q^676+52* p^76*q^642+18758*p^72*q^646+629126*p^70*q^648+16702132*p^68*q^650+273603074*p^ 66*q^652+3752289078*p^64*q^654+38499761446*p^62*q^656+185483362148*p^60*q^658+ 207909621288*p^58*q^660+48110118152*p^56*q^662+4664632654*p^54*q^664+329983530* p^52*q^666+19074298*p^50*q^668+763336*p^48*q^670+82022*p^46*q^672+72*p^44*q^674 +992*p^73*q^644+175628*p^71*q^646+2623708*p^69*q^648+63574894*p^67*q^650+ 976300299*p^65*q^652+11841078964*p^63*q^654+92891035315*p^61*q^656+241279769872 *p^59*q^658+122392220051*p^57*q^660+16909358630*p^55*q^662+1353654925*p^53*q^ 664+84291998*p^51*q^666+5180986*p^49*q^668+108306*p^47*q^670+10688*p^45*q^672+8 *p^76*q^640+8*p^74*q^642+10820*p^72*q^644+639722*p^70*q^646+13899978*p^68*q^648 +233826378*p^66*q^650+3266667720*p^64*q^652+33955775916*p^62*q^654+175620419778 *p^60*q^656+213671825320*p^58*q^658+53652769897*p^56*q^660+5300693568*p^54*q^ 662+382252365*p^52*q^664+21255458*p^50*q^666+954280*p^48*q^668+72894*p^46*q^670 +872*p^44*q^672+268*p^75*q^640+120*p^73*q^642+122950*p^71*q^644+2152458*p^69*q^ 646+55283875*p^67*q^648+840921328*p^65*q^650+10416435938*p^63*q^652+83839849162 *p^61*q^654+238398337821*p^59*q^656+130709917918*p^57*q^658+19214764116*p^55*q^ 660+1561719068*p^53*q^662+99726261*p^51*q^664+6089508*p^49*q^666+132284*p^47*q^ 668+18784*p^45*q^670+9476*p^72*q^642+647602*p^70*q^644+11426878*p^68*q^646+ 203341266*p^66*q^648+2842539332*p^64*q^650+30225717908*p^62*q^652+163305610544* p^60*q^654+220666168360*p^58*q^656+59151209528*p^56*q^658+6096881020*p^54*q^660 +440147388*p^52*q^662+24601296*p^50*q^664+1305556*p^48*q^666+49748*p^46*q^668+ 1836*p^44*q^670+184*p^75*q^638+204*p^73*q^640+83784*p^71*q^642+1975170*p^69*q^ 644+47935826*p^67*q^646+725061832*p^65*q^648+9047633776*p^63*q^650+76047542467* p^61*q^652+231036616078*p^59*q^654+140910341262*p^57*q^656+21681825338*p^55*q^ 658+1814144855*p^53*q^660+120602354*p^51*q^662+6986742*p^49*q^664+187540*p^47*q ^666+27708*p^45*q^668+28*p^43*q^670+720*p^74*q^638+3442*p^72*q^640+547248*p^70* q^642+8828796*p^68*q^644+172390904*p^66*q^646+2467652873*p^64*q^648+26567641520 *p^62*q^650+153212368705*p^60*q^652+224289168900*p^58*q^654+65705880248*p^56*q^ 656+6931393172*p^54*q^658+508180198*p^52*q^660+27542468*p^50*q^662+1712796*p^48 *q^664+29082*p^46*q^666+1964*p^44*q^668+12*p^75*q^636+20*p^73*q^638+56148*p^71* q^640+1795988*p^69*q^642+41070037*p^67*q^644+626436780*p^65*q^646+7936818917*p^ 63*q^648+68296386516*p^61*q^650+226050886332*p^59*q^652+148910741180*p^57*q^654 +24517423971*p^55*q^656+2072696758*p^53*q^658+139858660*p^51*q^660+7804480*p^49 *q^662+235832*p^47*q^664+23548*p^45*q^666+250*p^43*q^668+1316*p^74*q^636+2478*p ^72*q^638+463818*p^70*q^640+7701892*p^68*q^642+151870992*p^66*q^644+2141767118* p^64*q^646+23599442034*p^62*q^648+141357124504*p^60*q^650+229070729790*p^58*q^ 652+71932492962*p^56*q^654+7974171627*p^54*q^656+591985806*p^52*q^658+34339052* p^50*q^660+2141352*p^48*q^662+33166*p^46*q^664+6400*p^44*q^666+8*p^75*q^634+ 1284*p^73*q^636+39528*p^71*q^638+1790572*p^69*q^640+33889062*p^67*q^642+ 538709045*p^65*q^644+6885960832*p^63*q^646+61438663284*p^61*q^648+216888515948* p^59*q^650+159199809102*p^57*q^652+27526427744*p^55*q^654+2403485657*p^53*q^656 +163434468*p^51*q^658+8388960*p^49*q^660+380768*p^47*q^662+17686*p^45*q^664+48* p^43*q^666+376*p^74*q^634+832*p^72*q^636+296282*p^70*q^638+5860466*p^68*q^640+ 130474758*p^66*q^642+1852124169*p^64*q^644+20660462542*p^62*q^646+131548772838* p^60*q^648+230523897630*p^58*q^650+79362084048*p^56*q^652+9038919896*p^54*q^654 +682110321*p^52*q^656+40654568*p^50*q^658+2477430*p^48*q^660+29882*p^46*q^662+ 6624*p^44*q^664+16*p^42*q^666+4320*p^73*q^634+22034*p^71*q^636+1729570*p^69*q^ 638+29219672*p^67*q^640+464722314*p^65*q^642+6049003504*p^63*q^644+54993619666* p^61*q^646+209639126486*p^59*q^648+166733482392*p^57*q^650+30987356483*p^55*q^ 652+2743894972*p^53*q^654+189103502*p^51*q^656+9276088*p^49*q^658+538938*p^47*q ^660+6928*p^45*q^662+816*p^43*q^664+192*p^74*q^632+2708*p^72*q^634+253534*p^70* q^636+5388072*p^68*q^638+112959036*p^66*q^640+1609828358*p^64*q^642+18264762551 *p^62*q^644+120293476478*p^60*q^646+232907561759*p^58*q^648+86328717038*p^56*q^ 650+10385179840*p^54*q^652+794566094*p^52*q^654+49965277*p^50*q^656+2921176*p^ 48*q^658+60556*p^46*q^660+8952*p^44*q^662+3332*p^73*q^632+12748*p^71*q^634+ 1346822*p^69*q^636+23393774*p^67*q^638+401259768*p^65*q^640+5228443900*p^63*q^ 642+49272104296*p^61*q^644+199425354260*p^59*q^646+176292328073*p^57*q^648+ 34609947654*p^55*q^650+3163945826*p^53*q^652+218551038*p^51*q^654+10809356*p^49 *q^656+663422*p^47*q^658+3434*p^45*q^660+1080*p^43*q^662+36*p^74*q^630+8340*p^ 72*q^632+162544*p^70*q^634+5129840*p^68*q^636+97100562*p^66*q^638+1392435495*p^ 64*q^640+15978027910*p^62*q^642+111050851843*p^60*q^644+231596861522*p^58*q^646 +94539945681*p^56*q^648+11741459234*p^54*q^650+917696818*p^52*q^652+58393832*p^ 50*q^654+3049847*p^48*q^656+105300*p^46*q^658+3746*p^44*q^660+40*p^42*q^662+ 1896*p^73*q^630+9902*p^71*q^632+1122922*p^69*q^634+18971150*p^67*q^636+ 346403074*p^65*q^638+4580262718*p^63*q^640+43792988546*p^61*q^642+190913445481* p^59*q^644+183153546730*p^57*q^646+38815801721*p^55*q^648+3613649360*p^53*q^650 +254072376*p^51*q^652+13297936*p^49*q^654+846856*p^47*q^656+6056*p^45*q^658+ 2354*p^43*q^660+12636*p^72*q^630+107932*p^70*q^632+4722284*p^68*q^634+84214216* p^66*q^636+1206286584*p^64*q^638+14101522108*p^62*q^640+100921741034*p^60*q^642 +231575145498*p^58*q^644+101902870492*p^56*q^646+13402055457*p^54*q^648+ 1061571124*p^52*q^650+68743614*p^50*q^652+3125422*p^48*q^654+147162*p^46*q^656+ 628*p^44*q^658+120*p^42*q^660+876*p^73*q^628+19092*p^71*q^630+898248*p^69*q^632 +16336182*p^67*q^634+300248367*p^65*q^636+3962827758*p^63*q^638+39110280908*p^ 61*q^640+179468092842*p^59*q^642+191691132487*p^57*q^644+43178714214*p^55*q^646 +4178926397*p^53*q^648+294522934*p^51*q^650+16586510*p^49*q^652+1088362*p^47*q^ 654+14900*p^45*q^656+2076*p^43*q^658+16*p^74*q^626+10640*p^72*q^628+61696*p^70* q^630+4031392*p^68*q^632+68997870*p^66*q^634+1038367843*p^64*q^636+12281731262* p^62*q^638+92411223662*p^60*q^640+227820143010*p^58*q^642+110880378534*p^56*q^ 644+15112997902*p^54*q^646+1221520241*p^52*q^648+79833802*p^50*q^650+3390996*p^ 48*q^652+180908*p^46*q^654+288*p^44*q^656+274*p^42*q^658+80*p^73*q^626+25978*p^ 71*q^628+634476*p^69*q^630+14432865*p^67*q^632+261735748*p^65*q^634+3472686981* p^63*q^636+34654017054*p^61*q^638+170514750158*p^59*q^640+196842262846*p^57*q^ 642+48090982469*p^55*q^644+4752368644*p^53*q^646+341953806*p^51*q^648+19579500* p^49*q^650+1095410*p^47*q^652+24842*p^45*q^654+228*p^43*q^656+8*p^41*q^658+7790 *p^72*q^626+78542*p^70*q^628+3602036*p^68*q^630+58770262*p^66*q^632+901883550*p ^64*q^634+10813565154*p^62*q^636+83467635764*p^60*q^638+225183348379*p^58*q^640 +118461861626*p^56*q^642+17239995365*p^54*q^644+1412561628*p^52*q^646+94002180* p^50*q^648+4302026*p^48*q^650+290764*p^46*q^652+1380*p^44*q^654+664*p^42*q^656+ 320*p^73*q^624+34840*p^71*q^626+429546*p^69*q^628+12985092*p^67*q^630+225201288 *p^65*q^632+2997862456*p^63*q^634+30769136456*p^61*q^636+158795008344*p^59*q^ 638+204190087973*p^57*q^640+53168815644*p^55*q^642+5465484179*p^53*q^644+ 398642000*p^51*q^646+23930120*p^49*q^648+1095068*p^47*q^650+35582*p^45*q^652+4* p^43*q^654+8*p^41*q^656+2352*p^72*q^624+60700*p^70*q^626+2833690*p^68*q^628+ 47699908*p^66*q^630+776743791*p^64*q^632+9400280592*p^62*q^634+75919792483*p^60 *q^636+219385226140*p^58*q^638+127789494837*p^56*q^640+19330160584*p^54*q^642+ 1627031949*p^52*q^644+106193498*p^50*q^646+4871932*p^48*q^648+347356*p^46*q^650 +2450*p^44*q^652+94*p^42*q^654+36*p^73*q^622+35816*p^71*q^624+361358*p^69*q^626 +11700036*p^67*q^628+195652260*p^65*q^630+2624965975*p^63*q^632+27219731106*p^ 61*q^634+149250540207*p^59*q^636+207473823994*p^57*q^638+58965992640*p^55*q^640 +6218244014*p^53*q^642+461910400*p^51*q^644+28806452*p^49*q^646+1201538*p^47*q^ 648+50890*p^45*q^650+60*p^43*q^652+112*p^41*q^654+2844*p^72*q^622+77230*p^70*q^ 624+2259242*p^68*q^626+41983666*p^66*q^628+674626416*p^64*q^630+8264582405*p^62 *q^632+68133663108*p^60*q^634+214369980588*p^58*q^636+135459942936*p^56*q^638+ 21954186023*p^54*q^640+1873118220*p^52*q^642+125470001*p^50*q^644+6254662*p^48* q^646+398026*p^46*q^648+6852*p^44*q^650+21324*p^71*q^622+292074*p^69*q^624+ 10103890*p^67*q^626+163551494*p^65*q^628+2259354958*p^63*q^630+24080600630*p^61 *q^632+138044296654*p^59*q^634+212638987453*p^57*q^636+64716167304*p^55*q^638+ 7144402089*p^53*q^640+535989490*p^51*q^642+33538934*p^49*q^644+1236358*p^47*q^ 646+78460*p^45*q^648+92*p^43*q^650+22*p^41*q^652+1140*p^72*q^620+100192*p^70*q^ 622+1677216*p^68*q^624+36203712*p^66*q^626+588024208*p^64*q^628+7189969310*p^62 *q^630+61639197293*p^60*q^632+206579221454*p^58*q^634+144676078747*p^56*q^636+ 24566595644*p^54*q^638+2148511156*p^52*q^640+144432022*p^50*q^642+7766376*p^48* q^644+415854*p^46*q^646+7530*p^44*q^648+8*p^40*q^652+17036*p^71*q^620+218192*p^ 69*q^622+8752828*p^67*q^624+138984060*p^65*q^626+1965190480*p^63*q^628+ 21153110284*p^61*q^630+128692967479*p^59*q^632+214078907228*p^57*q^634+ 71285878329*p^55*q^636+8098088866*p^53*q^638+624536486*p^51*q^640+38528418*p^49 *q^642+1412844*p^47*q^644+108600*p^45*q^646+804*p^43*q^648+100*p^72*q^618+93202 *p^70*q^620+1439594*p^68*q^622+32069988*p^66*q^624+510954182*p^64*q^626+ 6320666999*p^62*q^628+55126655920*p^60*q^630+199949620971*p^58*q^632+ 151917165842*p^56*q^634+27733934688*p^54*q^636+2466865192*p^52*q^638+169350499* p^50*q^640+9800928*p^48*q^642+400522*p^46*q^644+11512*p^44*q^646+2*p^40*q^650+ 20*p^73*q^616+12850*p^71*q^618+243896*p^69*q^620+7037328*p^67*q^622+118446420*p ^65*q^624+1699063906*p^63*q^626+18683429743*p^61*q^628+117725672886*p^59*q^630+ 217056021620*p^57*q^632+77697773436*p^55*q^634+9283741086*p^53*q^636+723575644* p^51*q^638+45169114*p^49*q^640+1827958*p^47*q^642+142460*p^45*q^644+1560*p^43*q ^646+2*p^76*q^612+88*p^72*q^616+77774*p^70*q^618+1012802*p^68*q^620+28125398*p^ 66*q^622+436913379*p^64*q^624+5464969338*p^62*q^626+49547828892*p^60*q^628+ 190760968076*p^58*q^630+160959333507*p^56*q^632+30938533318*p^54*q^634+ 2833795594*p^52*q^636+196057326*p^50*q^638+11436054*p^48*q^640+365780*p^46*q^ 642+17876*p^44*q^644+28*p^42*q^646+3196*p^71*q^616+249578*p^69*q^618+5901800*p^ 67*q^620+100509030*p^65*q^622+1485656365*p^63*q^624+16428225296*p^61*q^626+ 109062140392*p^59*q^628+215784734432*p^57*q^630+85011964932*p^55*q^632+ 10471227158*p^53*q^634+829646304*p^51*q^636+51378720*p^49*q^638+2348878*p^47*q^ 640+135994*p^45*q^642+932*p^43*q^644+320*p^72*q^614+75964*p^70*q^616+889282*p^ 68*q^618+24723526*p^66*q^620+379766420*p^64*q^622+4799020193*p^62*q^624+ 44051071552*p^60*q^626+182734980483*p^58*q^628+167259526414*p^56*q^630+ 34769741092*p^54*q^632+3256397828*p^52*q^634+234989519*p^50*q^636+14010984*p^48 *q^638+415293*p^46*q^640+37544*p^44*q^642+268*p^42*q^644+30*p^75*q^610+2068*p^ 71*q^614+259468*p^69*q^616+4691838*p^67*q^618+87723930*p^65*q^620+1279514406*p^ 63*q^622+14436135690*p^61*q^624+99208618816*p^59*q^626+216495819956*p^57*q^628+ 91854800630*p^55*q^630+11991587533*p^53*q^632+955325056*p^51*q^634+59581796*p^ 49*q^636+2967850*p^47*q^638+138312*p^45*q^640+1624*p^43*q^642+44*p^72*q^612+ 36596*p^70*q^614+682442*p^68*q^616+20654630*p^66*q^618+319388892*p^64*q^620+ 4148951668*p^62*q^622+39429254666*p^60*q^624+172569371852*p^58*q^626+ 175536743356*p^56*q^628+38555345616*p^54*q^630+3726128166*p^52*q^632+270709426* p^50*q^634+15857428*p^48*q^636+476858*p^46*q^638+36678*p^44*q^640+32*p^42*q^642 +2184*p^71*q^612+280492*p^69*q^614+3828956*p^67*q^616+77212882*p^65*q^618+ 1124867993*p^63*q^620+12670306626*p^61*q^622+91121499651*p^59*q^624+ 213300934562*p^57*q^626+99725835941*p^55*q^628+13481237192*p^53*q^630+ 1102117273*p^51*q^632+69754076*p^49*q^634+3802062*p^47*q^636+119862*p^45*q^638+ 6360*p^43*q^640+20*p^41*q^642+184*p^74*q^608+22846*p^70*q^612+713146*p^68*q^614 +17962122*p^66*q^616+275166738*p^64*q^618+3628329456*p^62*q^620+34909362742*p^ 60*q^622+163609453143*p^58*q^624+180473486852*p^56*q^626+43140282096*p^54*q^628 +4276762216*p^52*q^630+317554054*p^50*q^632+18335912*p^48*q^634+646518*p^46*q^ 636+45304*p^44*q^638+76*p^42*q^640+1352*p^71*q^610+215476*p^69*q^612+2891662*p^ 67*q^614+66119614*p^65*q^616+966635370*p^63*q^618+11125810728*p^61*q^620+ 82354894862*p^59*q^622+211502587827*p^57*q^624+107055601584*p^55*q^626+ 15365473529*p^53*q^628+1263786562*p^51*q^630+83399564*p^49*q^632+4748700*p^47*q ^634+103392*p^45*q^636+8036*p^43*q^638+52*p^74*q^606+14*p^72*q^608+13682*p^70*q ^610+762250*p^68*q^612+14760858*p^66*q^614+237567212*p^64*q^616+3142400766*p^62 *q^618+31113244642*p^60*q^620+153183547968*p^58*q^622+187272482856*p^56*q^624+ 47508988754*p^54*q^626+4885487680*p^52*q^628+364852984*p^50*q^630+20562780*p^48 *q^632+813394*p^46*q^634+49600*p^44*q^636+568*p^42*q^638+594*p^73*q^606+166*p^ 71*q^608+151300*p^69*q^610+2325890*p^67*q^612+57829928*p^65*q^614+834843488*p^ 63*q^616+9726482948*p^61*q^618+75140352531*p^59*q^620+206135124424*p^57*q^622+ 115332315152*p^55*q^624+17270953248*p^53*q^626+1461372333*p^51*q^628+98168754*p ^49*q^630+5562730*p^47*q^632+126472*p^45*q^634+8372*p^43*q^636+12644*p^70*q^608 +762988*p^68*q^610+12303576*p^66*q^612+205816742*p^64*q^614+2758600399*p^62*q^ 616+27465380760*p^60*q^618+144059056129*p^58*q^620+190748112388*p^56*q^622+ 52750249399*p^54*q^624+5563649850*p^52*q^626+421708918*p^50*q^628+24009768*p^48 *q^630+1170462*p^46*q^632+31176*p^44*q^634+1424*p^42*q^636+622*p^73*q^604+280*p ^71*q^606+98674*p^69*q^608+2198286*p^67*q^610+50193010*p^65*q^612+717663918*p^ 63*q^614+8525898178*p^61*q^616+67461525370*p^59*q^618+202080121484*p^57*q^620+ 122549654312*p^55*q^622+19627949099*p^53*q^624+1683321628*p^51*q^626+118002455* p^49*q^628+6502480*p^47*q^630+152558*p^45*q^632+17440*p^43*q^634+20*p^41*q^636+ 1102*p^72*q^604+4794*p^70*q^606+655874*p^68*q^608+9361100*p^66*q^610+175949856* p^64*q^612+2379948454*p^62*q^614+24384335524*p^60*q^616+133495202392*p^58*q^618 +196096864400*p^56*q^620+57877981198*p^54*q^622+6357945403*p^52*q^624+482224564 *p^50*q^626+27739378*p^48*q^628+1467010*p^46*q^630+25746*p^44*q^632+744*p^42*q^ 634+48*p^73*q^602+24*p^71*q^604+70312*p^69*q^606+2028970*p^67*q^608+43121230*p^ 65*q^610+624211583*p^63*q^612+7439201396*p^61*q^614+61235221727*p^59*q^616+ 195025455358*p^57*q^618+130821212844*p^55*q^620+21914324096*p^53*q^622+ 1931569962*p^51*q^624+136051240*p^49*q^626+7106564*p^47*q^628+208868*p^45*q^630 +11932*p^43*q^632+164*p^41*q^634+2954*p^72*q^602+3208*p^70*q^604+541576*p^68*q^ 606+8216306*p^66*q^608+154636264*p^64*q^610+2081406601*p^62*q^612+21489442752*p ^60*q^614+124578282490*p^58*q^616+197166372028*p^56*q^618+63913899619*p^54*q^ 620+7242995212*p^52*q^622+563797117*p^50*q^624+34347146*p^48*q^626+1965760*p^46 *q^628+33290*p^44*q^630+3524*p^42*q^632+52*p^73*q^600+1434*p^71*q^602+51916*p^ 69*q^604+2046614*p^67*q^606+35411562*p^65*q^608+535096238*p^63*q^610+6507531819 *p^61*q^612+54621109624*p^59*q^614+189168842056*p^57*q^616+137858369754*p^55*q^ 618+24772199484*p^53*q^620+2216869022*p^51*q^622+159071600*p^49*q^624+7957992*p ^47*q^626+299132*p^45*q^628+7166*p^43*q^630+28*p^41*q^632+988*p^72*q^600+1100*p ^70*q^602+347912*p^68*q^604+6340902*p^66*q^606+134092794*p^64*q^608+1791593472* p^62*q^610+18997751463*p^60*q^612+114635318762*p^58*q^614+200768417282*p^56*q^ 616+69466520184*p^54*q^618+8265628366*p^52*q^620+643999352*p^50*q^622+40698632* p^48*q^624+2144542*p^46*q^626+28164*p^44*q^628+4044*p^42*q^630+8*p^40*q^632+ 7186*p^71*q^600+28164*p^69*q^602+1982230*p^67*q^604+30387420*p^65*q^606+ 463653913*p^63*q^608+5688358030*p^61*q^610+49330237032*p^59*q^612+180676282558* p^57*q^614+145810775452*p^55*q^616+27578969300*p^53*q^618+2539912471*p^51*q^620 +182909380*p^49*q^622+9212082*p^47*q^624+469912*p^45*q^626+7768*p^43*q^628+324* p^41*q^630+708*p^72*q^598+2838*p^70*q^600+306764*p^68*q^602+5850156*p^66*q^604+ 115797250*p^64*q^606+1569074449*p^62*q^608+16681939662*p^60*q^610+105893770909* p^58*q^612+199932662662*p^56*q^614+76272147089*p^54*q^616+9372278494*p^52*q^618 +751000494*p^50*q^620+49569518*p^48*q^622+2480920*p^46*q^624+45310*p^44*q^626+ 2300*p^42*q^628+6416*p^71*q^598+16480*p^69*q^600+1542960*p^67*q^602+24595859*p^ 65*q^604+399279554*p^63*q^606+4955556890*p^61*q^608+43844212466*p^59*q^610+ 173493848946*p^57*q^612+152071942118*p^55*q^614+31022020015*p^53*q^616+ 2907394078*p^51*q^618+212388256*p^49*q^620+10862258*p^47*q^622+594420*p^45*q^ 624+5260*p^43*q^626+956*p^41*q^628+102*p^72*q^596+10784*p^70*q^598+200790*p^68* q^600+5638416*p^66*q^602+99347418*p^64*q^604+1351596254*p^62*q^606+14732549698* p^60*q^608+96791586222*p^58*q^610+200844090255*p^56*q^612+82401593374*p^54*q^ 614+10675995196*p^52*q^616+857587572*p^50*q^618+57788182*p^48*q^620+2706302*p^ 46*q^622+75532*p^44*q^624+1720*p^42*q^626+8*p^40*q^628+4676*p^71*q^596+11448*p^ 69*q^598+1283446*p^67*q^600+19872188*p^65*q^602+348480501*p^63*q^604+4313263018 *p^61*q^606+39385008786*p^59*q^608+164132525150*p^57*q^610+159422937865*p^55*q^ 612+34350519146*p^53*q^614+3332113490*p^51*q^616+245394936*p^49*q^618+13462080* p^47*q^620+686784*p^45*q^622+4448*p^43*q^624+496*p^41*q^626+19292*p^70*q^596+ 133800*p^68*q^598+5252868*p^66*q^600+86225636*p^64*q^602+1176024161*p^62*q^604+ 12911751574*p^60*q^606+88879151853*p^58*q^608+198145268864*p^56*q^610+ 89528588444*p^54*q^612+12061728268*p^52*q^614+996721148*p^50*q^616+67570914*p^ 48*q^618+2942792*p^46*q^620+136624*p^44*q^622+1434*p^42*q^624+132*p^40*q^626+ 2150*p^71*q^594+20968*p^69*q^596+1045734*p^67*q^598+17233077*p^65*q^600+ 300134602*p^63*q^602+3770959778*p^61*q^604+34836162362*p^59*q^606+156069215656* p^57*q^608+164479356120*p^55*q^610+38468585915*p^53*q^612+3814540088*p^51*q^614 +284162941*p^49*q^616+16801538*p^47*q^618+860108*p^45*q^620+7774*p^43*q^622+444 *p^41*q^624+46*p^72*q^592+19048*p^70*q^594+75156*p^68*q^596+4484558*p^66*q^598+ 70825528*p^64*q^600+1010899840*p^62*q^602+11346125227*p^60*q^604+80522463174*p^ 58*q^606+197088545702*p^56*q^608+96122578236*p^54*q^610+13681588911*p^52*q^612+ 1134589786*p^50*q^614+79222264*p^48*q^616+3252282*p^46*q^618+149836*p^44*q^620+ 204*p^42*q^622+60*p^40*q^624+144*p^71*q^592+33658*p^69*q^594+747630*p^67*q^596+ 15306224*p^65*q^598+262971453*p^63*q^600+3284001144*p^61*q^602+31194952764*p^59 *q^604+146290309392*p^57*q^606+170824856712*p^55*q^608+42309316900*p^53*q^610+ 4359087951*p^51*q^612+327253424*p^49*q^614+19698878*p^47*q^616+907510*p^45*q^ 618+21650*p^43*q^620+262*p^41*q^622+8*p^39*q^624+16176*p^70*q^592+86524*p^68*q^ 594+4016932*p^66*q^596+60220882*p^64*q^598+884339244*p^62*q^600+9928188868*p^60 *q^602+73529070413*p^58*q^604+191984096744*p^56*q^606+103651787669*p^54*q^608+ 15423633258*p^52*q^610+1316691878*p^50*q^612+92481398*p^48*q^614+4273772*p^46*q ^616+226172*p^44*q^618+518*p^42*q^620+92*p^40*q^622+760*p^71*q^590+48032*p^69*q ^592+511104*p^67*q^594+13956504*p^65*q^596+225574204*p^63*q^598+2854634603*p^61 *q^600+27498348364*p^59*q^602+137726780993*p^57*q^604+174372069824*p^55*q^606+ 47168699187*p^53*q^608+4970582674*p^51*q^610+381194823*p^49*q^612+24133970*p^47 *q^614+926788*p^45*q^616+28656*p^43*q^618+4*p^39*q^622+3904*p^70*q^590+70916*p^ 68*q^592+3186094*p^66*q^594+49009146*p^64*q^596+757699328*p^62*q^598+8712731705 *p^60*q^600+66233107474*p^58*q^602+189136167234*p^56*q^604+110144303828*p^54*q^ 606+17418781902*p^52*q^608+1499286490*p^50*q^610+105301992*p^48*q^612+4965482*p ^46*q^614+260698*p^44*q^616+1906*p^42*q^618+20*p^40*q^620+80*p^71*q^588+62578*p ^69*q^590+405940*p^67*q^592+12669604*p^65*q^594+196843376*p^63*q^596+2490433142 *p^61*q^598+24532006447*p^59*q^600+128096768478*p^57*q^602+179107807418*p^55*q^ 604+51560227910*p^53*q^606+5686193856*p^51*q^608+437251698*p^49*q^610+28759590* p^47*q^612+1014770*p^45*q^614+41662*p^43*q^616+16*p^41*q^618+8*p^39*q^620+5658* p^70*q^588+89670*p^68*q^590+2550820*p^66*q^592+43159384*p^64*q^594+662647890*p^ 62*q^596+7606261468*p^60*q^598+60015685668*p^58*q^600+182400526040*p^56*q^602+ 117889788351*p^54*q^604+19547999550*p^52*q^606+1734823020*p^50*q^608+123527142* p^48*q^610+6536752*p^46*q^612+308828*p^44*q^614+4764*p^42*q^616+33846*p^69*q^ 588+328302*p^67*q^590+10961990*p^65*q^592+163989976*p^63*q^594+2160532008*p^61* q^596+21551996098*p^59*q^598+119582784890*p^57*q^600+181054118558*p^55*q^602+ 57040513481*p^53*q^604+6459725510*p^51*q^606+507162645*p^49*q^608+33496500*p^47 *q^610+1124616*p^45*q^612+58384*p^43*q^614+72*p^41*q^616+2132*p^70*q^586+142632 *p^68*q^588+1887130*p^66*q^590+37761584*p^64*q^592+576172516*p^62*q^594+ 6675626391*p^60*q^596+53820126342*p^58*q^598+177458509351*p^56*q^600+ 124160447732*p^54*q^602+22020904788*p^52*q^604+1974266726*p^50*q^606+142616411* p^48*q^608+7955612*p^46*q^610+300096*p^44*q^612+5446*p^42*q^614+28140*p^69*q^ 586+246250*p^67*q^588+9479088*p^65*q^590+139573556*p^63*q^592+1867713506*p^61*q ^594+19125447161*p^59*q^596+110269371894*p^57*q^598+184046004776*p^55*q^600+ 62030923574*p^53*q^602+7370438990*p^51*q^604+582989924*p^49*q^606+38816661*p^47 *q^608+1456702*p^45*q^610+78604*p^43*q^612+496*p^41*q^614+308*p^70*q^584+140160 *p^68*q^586+1581834*p^66*q^588+33616752*p^64*q^590+502684254*p^62*q^592+ 5840966874*p^60*q^594+48615817830*p^58*q^596+169648022958*p^56*q^598+ 131496861246*p^54*q^600+24555343968*p^52*q^602+2272973638*p^50*q^604+165377474* p^48*q^606+9861209*p^46*q^608+278414*p^44*q^610+9764*p^42*q^612+44*p^71*q^582+ 21464*p^69*q^584+281386*p^67*q^586+7718534*p^65*q^588+118710684*p^63*q^590+ 1629171504*p^61*q^592+16743889560*p^59*q^594+101992139090*p^57*q^596+ 183907345818*p^55*q^598+68123920269*p^53*q^600+8367230396*p^51*q^602+677952776* p^49*q^604+45751606*p^47*q^606+1948634*p^45*q^608+101856*p^43*q^610+660*p^41*q^ 612+206*p^70*q^582+112258*p^68*q^584+1132442*p^66*q^586+29486346*p^64*q^588+ 428282092*p^62*q^590+5090714715*p^60*q^592+43315985668*p^58*q^594+163572709958* p^56*q^596+137351368606*p^54*q^598+27566156462*p^52*q^600+2588232506*p^50*q^602 +190325610*p^48*q^604+11542346*p^46*q^606+280698*p^44*q^608+12492*p^42*q^610+20 *p^40*q^612+5512*p^69*q^582+342120*p^67*q^584+6360762*p^65*q^586+102047444*p^63 *q^588+1417458148*p^61*q^590+14875167774*p^59*q^592+93364311912*p^57*q^594+ 184892190783*p^55*q^596+73500208532*p^53*q^598+9492663175*p^51*q^600+768984068* p^49*q^602+52646808*p^47*q^604+2442936*p^45*q^606+84602*p^43*q^608+1106*p^41*q^ 610+584*p^70*q^580+114834*p^68*q^582+956893*p^66*q^584+26145542*p^64*q^586+ 373341592*p^62*q^588+4442441418*p^60*q^590+38890867463*p^58*q^592+154652804218* p^56*q^594+144201640918*p^54*q^596+30595947340*p^52*q^598+2991419843*p^50*q^600 +225000046*p^48*q^602+14021916*p^46*q^604+411674*p^44*q^606+25926*p^42*q^608+76 *p^40*q^610+4082*p^69*q^580+343084*p^67*q^582+5077548*p^65*q^584+88740292*p^63* q^586+1229615070*p^61*q^588+12986584132*p^59*q^590+85867069764*p^57*q^592+ 182664219914*p^55*q^594+80122397773*p^53*q^596+10747201080*p^51*q^598+889416043 *p^49*q^600+60542474*p^47*q^602+3120854*p^45*q^604+68936*p^43*q^606+1172*p^41*q ^608+80*p^70*q^578+51874*p^68*q^580+806492*p^66*q^582+21868264*p^64*q^584+ 313423754*p^62*q^586+3874482312*p^60*q^588+34516587182*p^58*q^590+147583900696* p^56*q^592+149016880846*p^54*q^594+34172879113*p^52*q^596+3393184478*p^50*q^598 +258000975*p^48*q^600+16258146*p^46*q^602+500744*p^44*q^604+24914*p^42*q^606+64 *p^40*q^608+3590*p^69*q^578+390822*p^67*q^580+4087626*p^65*q^582+78664980*p^63* q^584+1076140268*p^61*q^586+11498292666*p^59*q^588+78080673896*p^57*q^590+ 181978014684*p^55*q^592+85691282630*p^53*q^594+12164633036*p^51*q^596+ 1013853618*p^49*q^598+71093330*p^47*q^600+3767484*p^45*q^602+77582*p^43*q^604+ 4086*p^41*q^606+4*p^39*q^608+2*p^72*q^574+37762*p^68*q^578+865856*p^66*q^580+ 18853016*p^64*q^582+271789672*p^62*q^584+3369821982*p^60*q^586+30840448714*p^58 *q^588+138280787916*p^56*q^590+154765983353*p^54*q^592+37731494276*p^52*q^594+ 3909753871*p^50*q^596+299837508*p^48*q^598+19082662*p^46*q^600+735220*p^44*q^ 602+22180*p^42*q^604+60*p^40*q^606+2112*p^69*q^576+286888*p^67*q^578+3116674*p^ 65*q^580+67853944*p^63*q^582+929235101*p^61*q^584+10030698830*p^59*q^586+ 71247430725*p^57*q^588+177971467572*p^55*q^590+92854529462*p^53*q^592+ 13692231516*p^51*q^594+1171496944*p^49*q^596+82958796*p^47*q^598+4691916*p^45*q ^600+86366*p^43*q^602+5612*p^41*q^604+8*p^72*q^572+14*p^70*q^574+20524*p^68*q^ 576+975688*p^66*q^578+15487503*p^64*q^580+233363028*p^62*q^582+2943867566*p^60* q^584+27290429192*p^58*q^586+130642131116*p^56*q^588+158287585142*p^54*q^590+ 41850046208*p^52*q^592+4431068102*p^50*q^594+342838075*p^48*q^596+21991050*p^46 *q^598+874993*p^44*q^600+17710*p^42*q^602+342*p^40*q^604+22*p^71*q^572+344*p^69 *q^574+211248*p^67*q^576+2583522*p^65*q^578+59430344*p^63*q^580+800720698*p^61* q^582+8848126253*p^59*q^584+64384320256*p^57*q^586+175121485950*p^55*q^588+ 98605723800*p^53*q^590+15497426736*p^51*q^592+1340601312*p^49*q^594+97333679*p^ 47*q^596+5528988*p^45*q^598+142100*p^43*q^600+5536*p^41*q^602+18052*p^68*q^574+ 978142*p^66*q^576+12810612*p^64*q^578+204130198*p^62*q^580+2565492692*p^60*q^ 582+24328596789*p^58*q^584+121528208164*p^56*q^586+162698915944*p^54*q^588+ 45869142730*p^52*q^590+5074128767*p^50*q^592+391941726*p^48*q^594+25655987*p^46 *q^596+1164732*p^44*q^598+14766*p^42*q^600+920*p^40*q^602+112*p^71*q^570+360*p^ 69*q^572+137952*p^67*q^574+2518034*p^65*q^576+51327424*p^63*q^578+691062822*p^ 61*q^580+7707836968*p^59*q^582+58387128111*p^57*q^584+169421156892*p^55*q^586+ 105653411539*p^53*q^588+17398716070*p^51*q^590+1552585850*p^49*q^592+115123386* p^47*q^594+6707266*p^45*q^596+189568*p^43*q^598+5166*p^41*q^600+12*p^39*q^602+ 140*p^70*q^570+7472*p^68*q^572+831154*p^66*q^574+9892342*p^64*q^576+174733272*p ^62*q^578+2236644335*p^60*q^580+21402599796*p^58*q^582+113858506717*p^56*q^584+ 164871707742*p^54*q^586+50659005943*p^52*q^588+5739463112*p^50*q^590+450533373* p^48*q^592+29408720*p^46*q^594+1394684*p^44*q^596+20190*p^42*q^598+752*p^40*q^ 600+8*p^71*q^568+32*p^69*q^570+92914*p^67*q^572+2458358*p^65*q^574+43924532*p^ 63*q^576+598710228*p^61*q^578+6776855855*p^59*q^580+52493728350*p^57*q^582+ 165148190233*p^55*q^584+111190086436*p^53*q^586+19538520772*p^51*q^588+ 1767066968*p^49*q^590+130909800*p^47*q^592+7750186*p^45*q^594+233708*p^43*q^596 +3332*p^41*q^598+96*p^39*q^600+660*p^70*q^568+4434*p^68*q^570+707126*p^66*q^572 +8638004*p^64*q^574+154744015*p^62*q^576+1943704028*p^60*q^578+19074075887*p^58 *q^580+104846877842*p^56*q^582+167671084495*p^54*q^584+55187246816*p^52*q^586+ 6574079457*p^50*q^588+520833690*p^48*q^590+36301788*p^46*q^592+1809328*p^44*q^ 594+38238*p^42*q^596+1314*p^40*q^598+8*p^71*q^566+822*p^69*q^568+69512*p^67*q^ 570+2437432*p^65*q^572+36228244*p^63*q^574+515917432*p^61*q^576+5899215614*p^59 *q^578+47273450042*p^57*q^580+158071941712*p^55*q^582+118240929088*p^53*q^584+ 21833910742*p^51*q^586+2037637176*p^49*q^588+150989392*p^47*q^590+8887650*p^45* q^592+313060*p^43*q^594+2360*p^41*q^596+36*p^39*q^598+280*p^70*q^566+1540*p^68* q^568+432014*p^66*q^570+7012538*p^64*q^572+132964012*p^62*q^574+1685173026*p^60 *q^576+16727705440*p^58*q^578+97573078875*p^56*q^580+167854174872*p^54*q^582+ 60542466053*p^52*q^584+7417813934*p^50*q^586+598141270*p^48*q^588+41958992*p^46 *q^590+2145838*p^44*q^592+38254*p^42*q^594+698*p^40*q^596+4*p^38*q^598+2138*p^ 69*q^566+38368*p^67*q^568+2444522*p^65*q^570+30916324*p^63*q^572+447618222*p^61 *q^574+5199600538*p^59*q^576+42351998742*p^57*q^578+152464121987*p^55*q^580+ 123195916720*p^53*q^582+24441990930*p^51*q^584+2317299262*p^49*q^586+172503770* p^47*q^588+10466414*p^45*q^590+397926*p^43*q^592+5908*p^41*q^594+216*p^39*q^596 +128*p^70*q^564+3986*p^68*q^566+378516*p^66*q^568+6500636*p^64*q^570+115594010* p^62*q^572+1465958466*p^60*q^574+14809988404*p^58*q^576+89182529206*p^56*q^578+ 169012097035*p^54*q^580+65415628570*p^52*q^582+8474695271*p^50*q^584+691067654* p^48*q^586+50493960*p^46*q^588+2638794*p^44*q^590+64218*p^42*q^592+502*p^40*q^ 594+2412*p^69*q^564+21196*p^67*q^566+1841472*p^65*q^568+25271372*p^63*q^570+ 387705078*p^61*q^572+4503032212*p^59*q^574+37996963632*p^57*q^576+144641867100* p^55*q^578+129706428666*p^53*q^580+27152403788*p^51*q^582+2664088731*p^49*q^584 +198138658*p^47*q^586+12318124*p^45*q^588+511824*p^43*q^590+5362*p^41*q^592+90* p^39*q^594+44*p^70*q^562+5766*p^68*q^564+253388*p^66*q^566+6484158*p^64*q^568+ 98799466*p^62*q^570+1271741306*p^60*q^572+12998359812*p^58*q^574+82231635118*p^ 56*q^576+167445237618*p^54*q^578+71266728091*p^52*q^580+9533789312*p^50*q^582+ 795116501*p^48*q^584+57240038*p^46*q^586+3061118*p^44*q^588+72764*p^42*q^590+ 512*p^40*q^592+16*p^38*q^594+1180*p^69*q^562+17226*p^67*q^564+1516414*p^65*q^ 566+20712484*p^63*q^568+336615144*p^61*q^570+3954723384*p^59*q^572+33823692748* p^57*q^574+138104425895*p^55*q^576+134007688266*p^53*q^578+30274669389*p^51*q^ 580+3026848492*p^49*q^582+228754477*p^47*q^584+15238876*p^45*q^586+633108*p^43* q^588+11052*p^41*q^590+110*p^39*q^592+9372*p^68*q^562+162232*p^66*q^564+6045412 *p^64*q^566+85609963*p^62*q^568+1104753412*p^60*q^570+11492863944*p^58*q^572+ 74783855380*p^56*q^574+166634592722*p^54*q^576+76394221844*p^52*q^578+ 10824717134*p^50*q^580+914841940*p^48*q^582+65788468*p^46*q^584+3430954*p^44*q^ 586+103024*p^42*q^588+720*p^40*q^590+6*p^38*q^592+888*p^69*q^560+24274*p^67*q^ 562+1231893*p^65*q^564+18153042*p^63*q^566+292232000*p^61*q^568+3430729440*p^59 *q^570+30224421338*p^57*q^572+129704968198*p^55*q^574+139527005597*p^53*q^576+ 33461703044*p^51*q^578+3486481367*p^49*q^580+263750784*p^47*q^582+18719638*p^45 *q^584+875514*p^43*q^586+13406*p^41*q^588+16*p^39*q^590+16*p^70*q^558+7376*p^68 *q^560+97182*p^66*q^562+5121970*p^64*q^564+70637764*p^62*q^566+953722383*p^60*q ^568+10035581926*p^58*q^570+68451269811*p^56*q^572+163500525444*p^54*q^574+ 82643757566*p^52*q^576+12150618120*p^50*q^578+1046462278*p^48*q^580+75389876*p^ 46*q^582+3957934*p^44*q^584+116026*p^42*q^586+1188*p^40*q^588+10*p^38*q^590+72* p^69*q^558+22902*p^67*q^560+870788*p^65*q^562+16653668*p^63*q^564+254294084*p^ 61*q^566+3016891199*p^59*q^568+26826584756*p^57*q^570+122831004637*p^55*q^572+ 142687395780*p^53*q^574+37028529850*p^51*q^576+3941033460*p^49*q^578+304921332* p^47*q^580+21177676*p^45*q^582+974606*p^43*q^584+15220*p^41*q^586+80*p^39*q^588 +7064*p^68*q^558+116386*p^66*q^560+4550348*p^64*q^562+60203561*p^62*q^564+ 831252072*p^60*q^566+8853655340*p^58*q^568+61825425730*p^56*q^570+160909634128* p^54*q^572+87842798146*p^52*q^574+13782934423*p^50*q^576+1207120900*p^48*q^578+ 87025645*p^46*q^580+5449280*p^44*q^582+192355*p^42*q^584+2694*p^40*q^586+344*p^ 69*q^556+28678*p^67*q^558+590840*p^65*q^560+15135350*p^63*q^562+219263678*p^61* q^564+2605676930*p^59*q^566+23887660786*p^57*q^568+114193004774*p^55*q^570+ 147180577411*p^53*q^572+40732210122*p^51*q^574+4514860708*p^49*q^576+351132952* p^47*q^578+25297137*p^45*q^580+1018414*p^43*q^582+20024*p^41*q^584+48*p^39*q^ 586+2280*p^68*q^556+75420*p^66*q^558+3576968*p^64*q^560+49657818*p^62*q^562+ 717931061*p^60*q^564+7723395648*p^58*q^566+56265402320*p^56*q^568+156201629020* p^54*q^570+94185077973*p^52*q^572+15372207780*p^50*q^574+1383848210*p^48*q^576+ 98754228*p^46*q^578+6209873*p^44*q^580+251198*p^42*q^582+1372*p^40*q^584+4*p^38 *q^586+40*p^69*q^554+31662*p^67*q^556+504536*p^65*q^558+13898541*p^63*q^560+ 190276298*p^61*q^562+2288969025*p^59*q^564+21131877802*p^57*q^566+107314823205* p^55*q^568+148766416888*p^53*q^570+44873243121*p^51*q^572+5115420328*p^49*q^574 +405283208*p^47*q^576+28694372*p^45*q^578+1326264*p^43*q^580+27856*p^41*q^582+ 406*p^39*q^584+3060*p^68*q^554+83488*p^66*q^556+2833834*p^64*q^558+44139559*p^ 62*q^560+625174454*p^60*q^562+6800624568*p^58*q^564+50519108266*p^56*q^566+ 152140451678*p^54*q^568+99247019660*p^52*q^570+17345129052*p^50*q^572+ 1583688066*p^48*q^574+115677044*p^46*q^576+7963176*p^44*q^578+286946*p^42*q^580 +3148*p^40*q^582+21420*p^67*q^554+388634*p^65*q^556+11873504*p^63*q^558+ 159806340*p^61*q^560+1975067202*p^59*q^562+18730941269*p^57*q^564+99021658326*p ^55*q^566+151976472545*p^53*q^568+48916345022*p^51*q^570+5847498084*p^49*q^572+ 468165042*p^47*q^574+32739069*p^45*q^576+1595314*p^43*q^578+48660*p^41*q^580+60 *p^39*q^582+1228*p^68*q^552+95996*p^66*q^554+2124244*p^64*q^556+39121816*p^62*q ^558+545181826*p^60*q^560+5934319744*p^58*q^562+45707431392*p^56*q^564+ 146159505812*p^54*q^566+105474569723*p^52*q^568+19301972730*p^50*q^570+ 1811141828*p^48*q^572+131664272*p^46*q^574+9402780*p^44*q^576+309544*p^42*q^578 +3052*p^40*q^580+28*p^38*q^582+17662*p^67*q^552+288830*p^65*q^554+10285064*p^63 *q^556+135833716*p^61*q^558+1723752596*p^59*q^560+16507486332*p^57*q^562+ 92134830732*p^55*q^564+152135386670*p^53*q^566+53623075056*p^51*q^568+ 6594361426*p^49*q^570+540586948*p^47*q^572+37408514*p^45*q^574+2061933*p^43*q^ 576+66004*p^41*q^578+292*p^39*q^580+140*p^68*q^550+97956*p^66*q^552+1803108*p^ 64*q^554+35024769*p^62*q^556+473814708*p^60*q^558+5228324672*p^58*q^560+ 40920329096*p^56*q^562+140906807577*p^54*q^564+110112443298*p^52*q^566+ 21658212082*p^50*q^568+2066847500*p^48*q^570+153808004*p^46*q^572+10844274*p^44 *q^574+359686*p^42*q^576+6296*p^40*q^578+24*p^69*q^548+14286*p^67*q^550+281506* p^65*q^552+8286076*p^63*q^554+116649003*p^61*q^556+1493831372*p^59*q^558+ 14594180389*p^57*q^560+84339974638*p^55*q^562+153382627517*p^53*q^564+ 58055118978*p^51*q^566+7525728136*p^49*q^568+623824120*p^47*q^570+43230120*p^45 *q^572+2831464*p^43*q^574+86240*p^41*q^576+436*p^39*q^578+112*p^68*q^548+81490* p^66*q^550+1279192*p^64*q^552+30787122*p^62*q^554+406518192*p^60*q^556+ 4526882768*p^58*q^558+36822848767*p^56*q^560+134156233290*p^54*q^562+ 115967280030*p^52*q^564+24011261360*p^50*q^566+2369380414*p^48*q^568+176149506* p^46*q^570+12332704*p^44*q^572+410366*p^42*q^574+9430*p^40*q^576+8*p^38*q^578+ 3448*p^67*q^548+284930*p^65*q^550+6884574*p^63*q^552+100718952*p^61*q^554+ 1307338188*p^59*q^556+12863275736*p^57*q^558+77988389811*p^55*q^560+ 152060138732*p^53*q^562+63068335878*p^51*q^564+8446440712*p^49*q^566+711141057* p^47*q^568+48962658*p^45*q^570+3303582*p^43*q^572+75930*p^41*q^574+436*p^39*q^ 576+344*p^68*q^546+85170*p^66*q^548+1099272*p^64*q^550+27343126*p^62*q^552+ 352701562*p^60*q^554+3989705545*p^58*q^556+32733819482*p^56*q^558+128092362644* p^54*q^560+119872067890*p^52*q^562+26803433450*p^50*q^564+2707504578*p^48*q^566 +208801360*p^46*q^568+14384164*p^44*q^570+699860*p^42*q^572+21292*p^40*q^574+60 *p^38*q^576+4*p^71*q^542+2354*p^67*q^546+293218*p^65*q^548+5433190*p^63*q^550+ 88486928*p^61*q^552+1129617508*p^59*q^554+11324592723*p^57*q^556+70890930308*p^ 55*q^558+151746464710*p^53*q^560+67820857390*p^51*q^562+9613522180*p^49*q^564+ 816728250*p^47*q^566+56704204*p^45*q^568+4029416*p^43*q^570+66042*p^41*q^572+ 812*p^39*q^574+48*p^68*q^544+39690*p^66*q^546+834342*p^64*q^548+22737616*p^62*q ^550+298060358*p^60*q^552+3456537018*p^58*q^554+29360316870*p^56*q^556+ 120611333086*p^54*q^558+125131969355*p^52*q^560+29541140090*p^50*q^562+ 3085074105*p^48*q^564+238205010*p^46*q^566+16061685*p^44*q^568+851774*p^42*q^ 570+18108*p^40*q^572+12*p^38*q^574+2308*p^67*q^544+317228*p^65*q^546+4483829*p^ 63*q^548+78717274*p^61*q^550+995042658*p^59*q^552+9961641194*p^57*q^554+ 65112959655*p^55*q^556+148779906578*p^53*q^558+73147393070*p^51*q^560+ 10753201412*p^49*q^562+936236174*p^47*q^564+65653942*p^45*q^566+4610142*p^43*q^ 568+126558*p^41*q^570+2996*p^39*q^572+4*p^37*q^574+52*p^70*q^540+24958*p^66*q^ 544+873450*p^64*q^546+19522714*p^62*q^548+258135820*p^60*q^550+3026581145*p^58* q^552+26020636208*p^56*q^554+114119560323*p^54*q^556+127860027766*p^52*q^558+ 32839970973*p^50*q^560+3525508958*p^48*q^562+278733198*p^46*q^564+18397376*p^44 *q^566+1173038*p^42*q^568+9938*p^40*q^570+40*p^38*q^572+1392*p^67*q^542+244060* p^65*q^544+3355082*p^63*q^546+68310598*p^61*q^548+854129942*p^59*q^550+ 8766839159*p^57*q^552+58812872900*p^55*q^554+146965572860*p^53*q^556+ 77988528550*p^51*q^558+12185045258*p^49*q^560+1068552800*p^47*q^562+76591153*p^ 45*q^564+5451286*p^43*q^566+180396*p^41*q^568+4672*p^39*q^570+8*p^70*q^538+26*p ^68*q^540+14992*p^66*q^542+893242*p^64*q^544+16133448*p^62*q^546+223799886*p^60 *q^548+2631372374*p^58*q^550+23216186564*p^56*q^552+106596728974*p^54*q^554+ 132024797443*p^52*q^556+35919526202*p^50*q^558+4012811682*p^48*q^560+317834964* p^46*q^562+20912272*p^44*q^564+1347226*p^42*q^566+15614*p^40*q^568+176*p^38*q^ 570+268*p^69*q^538+168*p^67*q^540+164996*p^65*q^542+2787228*p^63*q^544+59546634 *p^61*q^546+740568058*p^59*q^548+7677082136*p^57*q^550+53636728287*p^55*q^552+ 142652576400*p^53*q^554+83549044578*p^51*q^556+13614063580*p^49*q^558+ 1231916646*p^47*q^560+89436180*p^45*q^562+6157818*p^43*q^564+268840*p^41*q^566+ 1200*p^39*q^568+12952*p^66*q^540+896196*p^64*q^542+13324690*p^62*q^544+ 195953838*p^60*q^546+2311352966*p^58*q^548+20535319638*p^56*q^550+99979591397*p ^54*q^552+133697454960*p^52*q^554+39634855416*p^50*q^556+4545539436*p^48*q^558+ 364135989*p^46*q^560+23775658*p^44*q^562+1672697*p^42*q^564+29858*p^40*q^566+ 812*p^38*q^568+192*p^69*q^536+468*p^67*q^538+110306*p^65*q^540+2609232*p^63*q^ 542+51508245*p^61*q^544+637207512*p^59*q^546+6742001763*p^57*q^548+48180433106* p^55*q^550+139151663955*p^53*q^552+88225949852*p^51*q^554+15367333918*p^49*q^ 556+1414463858*p^47*q^558+106956381*p^45*q^560+7082488*p^43*q^562+359628*p^41*q ^564+1692*p^39*q^566+4*p^37*q^568+720*p^68*q^536+4742*p^66*q^538+740014*p^64*q^ 540+10262806*p^62*q^542+169406956*p^60*q^544+1999685132*p^58*q^546+18250219868* p^56*q^548+92581251524*p^54*q^550+136667922773*p^52*q^552+43193756374*p^50*q^ 554+5173521287*p^48*q^556+414424434*p^46*q^558+27004157*p^44*q^560+2023372*p^42 *q^562+42942*p^40*q^564+80*p^38*q^566+16*p^69*q^534+44*p^67*q^536+74570*p^65*q^ 538+2415512*p^63*q^540+44171624*p^61*q^542+555058354*p^59*q^544+5897893760*p^57 *q^546+43731860001*p^55*q^548+133890280384*p^53*q^550+93559065028*p^51*q^552+ 17047197994*p^49*q^554+1614848496*p^47*q^556+122145996*p^45*q^558+7786090*p^43* q^560+403722*p^41*q^562+3336*p^39*q^564+60*p^37*q^566+1404*p^68*q^534+4258*p^66 *q^536+607770*p^64*q^538+9109752*p^62*q^540+148911244*p^60*q^542+1752749269*p^ 58*q^544+16105329418*p^56*q^546+86129239613*p^54*q^548+136808496534*p^52*q^550+ 47354681784*p^50*q^552+5864778298*p^48*q^554+482198116*p^46*q^556+32714508*p^44 *q^558+2450820*p^42*q^560+86738*p^40*q^562+236*p^38*q^564+16*p^69*q^532+1292*p^ 67*q^534+52282*p^65*q^536+2378660*p^63*q^538+36149798*p^61*q^540+478499176*p^59 *q^542+5168906487*p^57*q^544+39012207888*p^55*q^546+129335897862*p^53*q^548+ 98019766724*p^51*q^550+19163834393*p^49*q^552+1844781956*p^47*q^554+140899360*p ^45*q^556+8634636*p^43*q^558+561824*p^41*q^560+4034*p^39*q^562+4*p^37*q^564+444 *p^68*q^532+1542*p^66*q^534+383184*p^64*q^536+7133434*p^62*q^538+129722077*p^60 *q^540+1509815000*p^58*q^542+14270009026*p^56*q^544+79153714848*p^54*q^546+ 138372526882*p^52*q^548+51194382790*p^50*q^550+6646913673*p^48*q^552+549484212* p^46*q^554+38679577*p^44*q^556+2672636*p^42*q^558+75649*p^40*q^560+200*p^38*q^ 562+4700*p^67*q^532+30828*p^65*q^534+2251444*p^63*q^536+31215144*p^61*q^538+ 417156423*p^59*q^540+4526288076*p^57*q^542+35282511783*p^55*q^544+123034255616* p^53*q^546+103053220791*p^51*q^548+21171800924*p^49*q^550+2112480795*p^47*q^552 +159940374*p^45*q^554+9551711*p^43*q^556+760496*p^41*q^558+16308*p^39*q^560+20* p^37*q^562+320*p^68*q^530+2874*p^66*q^532+323766*p^64*q^534+6645994*p^62*q^536+ 111537040*p^60*q^538+1323644411*p^58*q^540+12542623586*p^56*q^542+73072390965*p ^54*q^544+137083604934*p^52*q^546+55759580174*p^50*q^548+7510948372*p^48*q^550+ 635840582*p^46*q^552+46620568*p^44*q^554+3091548*p^42*q^556+118084*p^40*q^558+ 176*p^38*q^560+3876*p^67*q^530+19740*p^65*q^532+1723904*p^63*q^534+25367154*p^ 61*q^536+361500758*p^59*q^538+3952372088*p^57*q^540+31350495352*p^55*q^542+ 117813151682*p^53*q^544+106739293948*p^51*q^546+23661834817*p^49*q^548+ 2403793788*p^47*q^550+185519896*p^45*q^552+10955772*p^43*q^554+892632*p^41*q^ 556+13964*p^39*q^558+4*p^37*q^560+44*p^68*q^528+9248*p^66*q^530+207174*p^64*q^ 532+6353204*p^62*q^534+95944642*p^60*q^536+1142117218*p^58*q^538+11093373854*p^ 56*q^540+66688634048*p^54*q^542+137147013022*p^52*q^544+59830775432*p^50*q^546+ 8498144066*p^48*q^548+726531066*p^46*q^550+53243628*p^44*q^552+3323300*p^42*q^ 554+179108*p^40*q^556+1800*p^38*q^558+2816*p^67*q^528+12252*p^65*q^530+1404816* p^63*q^532+20782548*p^61*q^534+316292056*p^59*q^536+3450823652*p^57*q^538+ 28168590740*p^55*q^540+111049480178*p^53*q^542+111287346784*p^51*q^544+ 26019106286*p^49*q^546+2741308340*p^47*q^548+211062706*p^45*q^550+13721632*p^43 *q^552+1025412*p^41*q^554+16716*p^39*q^556+14782*p^66*q^528+144996*p^64*q^530+ 5842820*p^62*q^532+83053310*p^60*q^534+997994001*p^58*q^536+9741286052*p^56*q^ 538+61152504266*p^54*q^540+134524324722*p^52*q^542+64660658381*p^50*q^544+ 9534204660*p^48*q^546+841175318*p^46*q^548+61958970*p^44*q^550+3309262*p^42*q^ 552+256792*p^40*q^554+3056*p^38*q^556+1212*p^67*q^526+21320*p^65*q^528+1103526* p^63*q^530+18172778*p^61*q^532+272574602*p^59*q^534+3016570928*p^57*q^536+ 24966877174*p^55*q^538+105154976304*p^53*q^540+114081996204*p^51*q^542+ 28934479711*p^49*q^544+3127957950*p^47*q^546+243906112*p^45*q^548+16610046*p^43 *q^550+1326729*p^41*q^552+29640*p^39*q^554+72*p^37*q^556+24*p^68*q^524+14644*p^ 66*q^526+82512*p^64*q^528+4928406*p^62*q^530+68580912*p^60*q^532+860958566*p^58 *q^534+8579580785*p^56*q^536+55397725074*p^54*q^538+133040623624*p^52*q^540+ 68914956744*p^50*q^542+10769717383*p^48*q^544+953399492*p^46*q^546+70811536*p^ 44*q^548+3670932*p^42*q^550+284958*p^40*q^552+1180*p^38*q^554+104*p^67*q^524+ 30708*p^65*q^526+779016*p^63*q^528+16333724*p^61*q^530+239289850*p^59*q^532+ 2630634984*p^57*q^534+22368216912*p^55*q^536+98456785530*p^53*q^538+ 117641476542*p^51*q^540+31601098262*p^49*q^542+3556179478*p^47*q^544+280347718* p^45*q^546+19594206*p^43*q^548+1278160*p^41*q^550+53108*p^39*q^552+518*p^37*q^ 554+11312*p^66*q^524+90712*p^64*q^526+4322062*p^62*q^528+58576508*p^60*q^530+ 754619565*p^58*q^532+7518180178*p^56*q^534+50520240767*p^54*q^536+129081942826* p^52*q^538+73754774523*p^50*q^540+12053902764*p^48*q^542+1102365970*p^46*q^544+ 81038194*p^44*q^546+4593004*p^42*q^548+437142*p^40*q^550+3448*p^38*q^552+468*p^ 67*q^522+45680*p^65*q^524+540838*p^63*q^526+14808842*p^61*q^528+204956658*p^59* q^530+2293328796*p^57*q^532+19716147724*p^55*q^534+92384181480*p^53*q^536+ 119505589966*p^51*q^538+34965423698*p^49*q^540+4038178536*p^47*q^542+325583002* p^45*q^544+23525076*p^43*q^546+1274588*p^41*q^548+70456*p^39*q^550+16*p^37*q^ 552+3000*p^66*q^522+69942*p^64*q^524+3337810*p^62*q^526+48153402*p^60*q^528+ 649870522*p^58*q^530+6606759754*p^56*q^532+45503463940*p^54*q^534+126472094051* p^52*q^536+77921510012*p^50*q^538+13513312119*p^48*q^540+1251658802*p^46*q^542+ 92027144*p^44*q^544+5336932*p^42*q^546+493752*p^40*q^548+6404*p^38*q^550+40*p^ 36*q^552+48*p^67*q^520+52776*p^65*q^522+430958*p^63*q^524+13367046*p^61*q^526+ 179627208*p^59*q^528+2002826768*p^57*q^530+17627992267*p^55*q^532+85630315714*p ^53*q^534+121967531564*p^51*q^536+37975853748*p^49*q^538+4594680436*p^47*q^540+ 372296854*p^45*q^542+26963621*p^43*q^544+1303416*p^41*q^546+99885*p^39*q^548+ 236*p^37*q^550+4076*p^66*q^520+95446*p^64*q^522+2646788*p^62*q^524+42689080*p^ 60*q^526+567918457*p^58*q^528+5780573896*p^56*q^530+41223647917*p^54*q^532+ 121411333958*p^52*q^534+82798166958*p^50*q^536+15060432980*p^48*q^538+ 1441903251*p^46*q^540+106902666*p^44*q^542+7073096*p^42*q^544+559060*p^40*q^546 +14554*p^38*q^548+29120*p^65*q^520+330182*p^63*q^522+11464592*p^61*q^524+ 149621884*p^59*q^526+1742392959*p^57*q^528+15499173396*p^55*q^530+79817010408*p ^53*q^532+122428842922*p^51*q^534+41725603182*p^49*q^536+5196726078*p^47*q^538+ 429954462*p^45*q^540+30891844*p^43*q^542+1350250*p^41*q^544+146776*p^39*q^546+ 320*p^37*q^548+1508*p^66*q^518+144212*p^64*q^520+1965580*p^62*q^522+37526982*p^ 60*q^524+494457794*p^58*q^526+5082447699*p^56*q^528+36947680358*p^54*q^530+ 117642082960*p^52*q^532+86601927722*p^50*q^534+16853712757*p^48*q^536+ 1633290608*p^46*q^538+122965440*p^44*q^540+8353320*p^42*q^542+543292*p^40*q^544 +17092*p^38*q^546+4*p^36*q^548+23708*p^65*q^518+247780*p^63*q^520+9750500*p^61* q^522+128083302*p^59*q^524+1511035722*p^57*q^526+13762713693*p^55*q^528+ 73454107274*p^53*q^530+123753454578*p^51*q^532+45008263088*p^49*q^534+ 5894886354*p^47*q^536+494247172*p^45*q^538+35103440*p^43*q^540+1736660*p^41*q^ 542+188372*p^39*q^544+1808*p^37*q^546+180*p^66*q^516+134808*p^64*q^518+1620086* p^62*q^520+33534734*p^60*q^522+432383145*p^58*q^524+4447466458*p^56*q^526+ 33386282827*p^54*q^528+111919495822*p^52*q^530+91162667289*p^50*q^532+ 18658142358*p^48*q^534+1874293482*p^46*q^536+141167050*p^44*q^538+10053356*p^42 *q^540+453784*p^40*q^542+30113*p^38*q^544+24*p^67*q^514+17040*p^65*q^516+310290 *p^63*q^518+7839902*p^61*q^520+109413612*p^59*q^522+1318101388*p^57*q^524+ 12081020128*p^55*q^526+67733477345*p^53*q^528+122942128092*p^51*q^530+ 49083289305*p^49*q^532+6649419436*p^47*q^534+571837219*p^45*q^536+40731222*p^43 *q^538+2275630*p^41*q^540+253714*p^39*q^542+3100*p^37*q^544+2*p^70*q^510+112*p^ 66*q^514+107324*p^64*q^516+1106778*p^62*q^518+29454520*p^60*q^520+368788604*p^ 58*q^522+3885740934*p^56*q^524+29744036574*p^54*q^526+107463626308*p^52*q^528+ 94520044602*p^50*q^530+20807373750*p^48*q^532+2128758398*p^46*q^534+163071660*p ^44*q^536+11423760*p^42*q^538+454284*p^40*q^540+39248*p^38*q^542+76*p^36*q^544+ 4336*p^65*q^514+361708*p^63*q^516+6462450*p^61*q^518+94439998*p^59*q^520+ 1149930082*p^57*q^522+10738545127*p^55*q^524+61985986268*p^53*q^526+ 122751764768*p^51*q^528+52600732262*p^49*q^530+7496771356*p^47*q^532+645888744* p^45*q^534+45890142*p^43*q^536+2813876*p^41*q^538+206434*p^39*q^540+3750*p^37*q ^542+360*p^66*q^512+101432*p^64*q^514+975980*p^62*q^516+25780086*p^60*q^518+ 322205612*p^58*q^520+3397249062*p^56*q^522+26696157249*p^54*q^524+101243110810* p^52*q^526+98534840241*p^50*q^528+22901908518*p^48*q^530+2447407470*p^46*q^532+ 192634360*p^44*q^534+13713262*p^42*q^536+538948*p^40*q^538+84646*p^38*q^540+512 *p^36*q^542+30*p^69*q^508+2780*p^65*q^512+360530*p^63*q^514+5014270*p^61*q^516+ 82779480*p^59*q^518+998768514*p^57*q^520+9381368520*p^55*q^522+56883615530*p^53 *q^524+120718160008*p^51*q^526+56887691048*p^49*q^528+8438368316*p^47*q^530+ 743597564*p^45*q^532+52031314*p^43*q^534+3431713*p^41*q^536+209234*p^39*q^538+ 4670*p^37*q^540+60*p^66*q^510+46748*p^64*q^512+853060*p^62*q^514+21539740*p^60* q^516+270783474*p^58*q^518+2968706857*p^56*q^520+23719907798*p^54*q^522+ 96156866629*p^52*q^524+101186551954*p^50*q^526+25411276904*p^48*q^528+ 2763215890*p^46*q^530+220488542*p^44*q^532+15555066*p^42*q^534+651914*p^40*q^ 536+81202*p^38*q^538+218*p^36*q^540+2412*p^65*q^510+378172*p^63*q^512+3985782*p ^61*q^514+73698365*p^59*q^516+874961478*p^57*q^518+8323449304*p^55*q^520+ 51621337050*p^53*q^522+119480006588*p^51*q^524+60461001174*p^49*q^526+ 9478830663*p^47*q^528+845979094*p^45*q^530+60819734*p^43*q^532+4095042*p^41*q^ 534+176560*p^39*q^536+17352*p^37*q^538+40*p^35*q^540+186*p^68*q^506+30432*p^64* q^510+932874*p^62*q^512+18392972*p^60*q^514+235408648*p^58*q^516+2582992648*p^ 56*q^518+21211268197*p^54*q^520+89801103804*p^52*q^522+104283572381*p^50*q^524+ 27834701756*p^48*q^526+3176238518*p^46*q^528+254960726*p^44*q^530+17397656*p^42 *q^532+893696*p^40*q^534+97066*p^38*q^536+276*p^36*q^538+1584*p^65*q^508+275588 *p^63*q^510+3071976*p^61*q^512+63434618*p^59*q^514+756779410*p^57*q^516+ 7268809176*p^55*q^518+47084011814*p^53*q^520+116118536572*p^51*q^522+ 65013937533*p^49*q^524+10611663686*p^47*q^526+970508266*p^45*q^528+71006732*p^ 43*q^530+5186818*p^41*q^532+149130*p^39*q^534+23244*p^37*q^536+60*p^68*q^504+10 *p^66*q^506+15864*p^64*q^508+1010808*p^62*q^510+14913290*p^60*q^512+203454560*p ^58*q^514+2260379283*p^56*q^516+18767807338*p^54*q^518+84628831474*p^52*q^520+ 105940854588*p^50*q^522+30630325406*p^48*q^524+3576686102*p^46*q^526+291506628* p^44*q^528+19371652*p^42*q^530+1005887*p^40*q^532+103626*p^38*q^534+1896*p^36*q ^536+616*p^67*q^504+228*p^65*q^506+193348*p^63*q^508+2599610*p^61*q^510+ 55626039*p^59*q^512+652532130*p^57*q^514+6417262422*p^55*q^516+42494788922*p^53 *q^518+113703152782*p^51*q^520+68492925738*p^49*q^522+11924849520*p^47*q^524+ 1110830966*p^45*q^526+83332448*p^43*q^528+5978686*p^41*q^530+197558*p^39*q^532+ 27028*p^37*q^534+14024*p^64*q^506+978608*p^62*q^508+12166270*p^60*q^510+ 178633904*p^58*q^512+1973845772*p^56*q^514+16734106060*p^54*q^516+78408034866*p ^52*q^518+108235784956*p^50*q^520+33313374640*p^48*q^522+4068652941*p^46*q^524+ 331335934*p^44*q^526+22217846*p^42*q^528+1390568*p^40*q^530+65404*p^38*q^532+ 4924*p^36*q^534+734*p^67*q^502+236*p^65*q^504+120434*p^63*q^506+2570362*p^61*q^ 508+47852778*p^59*q^510+563742319*p^57*q^512+5598265116*p^55*q^514+38490273172* p^53*q^516+109392203886*p^51*q^518+72909409548*p^49*q^520+13276939482*p^47*q^ 522+1283913418*p^45*q^524+98496364*p^43*q^526+6775096*p^41*q^528+220076*p^39*q^ 530+49694*p^37*q^532+80*p^35*q^534+1202*p^66*q^502+5880*p^64*q^504+816134*p^62* q^506+9385310*p^60*q^508+153293872*p^58*q^510+1722329196*p^56*q^512+14749987482 *p^54*q^514+73170153196*p^52*q^516+108872946166*p^50*q^518+36550158065*p^48*q^ 520+4586365988*p^46*q^522+376858240*p^44*q^524+24960636*p^42*q^526+1824268*p^40 *q^528+52012*p^38*q^530+3688*p^36*q^532+56*p^67*q^500+24*p^65*q^502+78110*p^63* q^504+2486998*p^61*q^506+40651598*p^59*q^508+489978386*p^57*q^510+4930311407*p^ 55*q^512+34608118598*p^53*q^514+106018426508*p^51*q^516+76151547866*p^49*q^518+ 14808923134*p^47*q^520+1451957410*p^45*q^522+113082998*p^43*q^524+7505828*p^41* q^526+270016*p^39*q^528+39776*p^37*q^530+694*p^35*q^532+3614*p^66*q^500+3150*p^ 64*q^502+658374*p^62*q^504+8260220*p^60*q^506+136054479*p^58*q^508+1496342422*p ^56*q^510+13139543598*p^54*q^512+67294915738*p^52*q^514+109800364836*p^50*q^516 +39496109000*p^48*q^518+5222901353*p^46*q^520+436124544*p^44*q^522+30379766*p^ 42*q^524+2261790*p^40*q^526+49246*p^38*q^528+13914*p^36*q^530+60*p^67*q^498+ 1696*p^65*q^500+59568*p^63*q^502+2450714*p^61*q^504+33131644*p^59*q^506+ 423285056*p^57*q^508+4294037456*p^55*q^510+31142548185*p^53*q^512+101027763784* p^51*q^514+80359401270*p^49*q^516+16413281256*p^47*q^518+1670746934*p^45*q^520+ 129619262*p^43*q^522+8205778*p^41*q^524+418452*p^39*q^526+31037*p^37*q^528+164* p^35*q^530+1256*p^66*q^498+1036*p^64*q^500+398108*p^62*q^502+6726102*p^60*q^504 +117494632*p^58*q^506+1299325259*p^56*q^508+11533219468*p^54*q^510+62425226986* p^52*q^512+109387031568*p^50*q^514+42948550404*p^48*q^516+5860074112*p^46*q^518 +498191280*p^44*q^520+35535718*p^42*q^522+2558674*p^40*q^524+38118*p^38*q^526+ 16756*p^36*q^528+44*p^34*q^530+9248*p^65*q^498+30420*p^63*q^500+2348378*p^61*q^ 502+28331310*p^59*q^504+367875468*p^57*q^506+3790027754*p^55*q^508+27876876374* p^53*q^510+96911373900*p^51*q^512+83138764550*p^49*q^514+18234274975*p^47*q^516 +1892886808*p^45*q^518+147069742*p^43*q^520+8948578*p^41*q^522+606936*p^39*q^ 524+15836*p^37*q^526+2028*p^35*q^528+828*p^66*q^496+3374*p^64*q^498+341562*p^62 *q^500+6311640*p^60*q^502+101314074*p^58*q^504+1132130060*p^56*q^506+ 10223208139*p^54*q^508+56880242712*p^52*q^510+109319687286*p^50*q^512+ 46113334888*p^48*q^514+6645322587*p^46*q^516+573917142*p^44*q^518+43400006*p^42 *q^520+3070548*p^40*q^522+69188*p^38*q^524+18254*p^36*q^526+8704*p^65*q^496+ 15914*p^63*q^498+1758098*p^61*q^500+22885280*p^59*q^502+320319464*p^57*q^504+ 3283713720*p^55*q^506+25004492141*p^53*q^508+91493629280*p^51*q^510+86841211146 *p^49*q^512+20093574444*p^47*q^514+2167309424*p^45*q^516+168286732*p^43*q^518+ 10115306*p^41*q^520+750144*p^39*q^522+5756*p^37*q^524+4270*p^35*q^526+134*p^66* q^494+14446*p^64*q^496+220356*p^62*q^498+6244566*p^60*q^500+86518606*p^58*q^502 +983348897*p^56*q^504+8980010880*p^54*q^506+52403104683*p^52*q^508+107502135006 *p^50*q^510+49871760696*p^48*q^512+7425864730*p^46*q^514+658663245*p^44*q^516+ 49500484*p^42*q^518+3253294*p^40*q^520+111336*p^38*q^522+11409*p^36*q^524+112*p ^34*q^526+5712*p^65*q^494+12710*p^63*q^496+1413716*p^61*q^498+18861780*p^59*q^ 500+278559596*p^57*q^502+2886569374*p^55*q^504+22258577862*p^53*q^506+ 86951483555*p^51*q^508+89029175444*p^49*q^510+22223027797*p^47*q^512+2455065702 *p^45*q^514+192066124*p^43*q^516+12410346*p^41*q^518+952900*p^39*q^520+7448*p^ 37*q^522+6080*p^35*q^524+28044*p^64*q^494+135316*p^62*q^496+5741578*p^60*q^498+ 74694874*p^58*q^500+854509230*p^56*q^502+7943442097*p^54*q^504+47533956532*p^52 *q^506+106389814303*p^50*q^508+52982113594*p^48*q^510+8379439832*p^46*q^512+ 755173750*p^44*q^514+57364500*p^42*q^516+3288876*p^40*q^518+179900*p^38*q^520+ 1924*p^36*q^522+652*p^34*q^524+2802*p^65*q^492+25004*p^63*q^494+1126370*p^61*q^ 496+16634436*p^59*q^498+241618157*p^57*q^500+2505571428*p^55*q^502+19884089249* p^53*q^504+81298897704*p^51*q^506+91981260227*p^49*q^508+24370023034*p^47*q^510 +2812202643*p^45*q^512+220251528*p^43*q^514+15467072*p^41*q^516+1237622*p^39*q^ 518+13368*p^37*q^520+7736*p^35*q^522+52*p^66*q^490+25184*p^64*q^492+78014*p^62* q^494+4790622*p^60*q^496+61198934*p^58*q^498+740668487*p^56*q^500+6943370808*p^ 54*q^502+43402465661*p^52*q^504+103682024678*p^50*q^506+56926956648*p^48*q^508+ 9328010590*p^46*q^510+864381708*p^44*q^512+65314018*p^42*q^514+3372444*p^40*q^ 516+213886*p^38*q^518+412*p^36*q^520+952*p^34*q^522+192*p^65*q^490+50774*p^63*q ^492+774468*p^61*q^494+15326430*p^59*q^496+210687986*p^57*q^498+2204635008*p^55 *q^500+17655503520*p^53*q^502+76695841984*p^51*q^504+93360031356*p^49*q^506+ 26760633457*p^47*q^508+3165417960*p^45*q^510+252747528*p^43*q^512+17912946*p^41 *q^514+1334658*p^39*q^516+29140*p^37*q^518+1610*p^35*q^520+48*p^33*q^522+21254* p^64*q^490+89816*p^62*q^492+4196052*p^60*q^494+52008926*p^58*q^496+646302188*p^ 56*q^498+6123983936*p^54*q^500+39170733260*p^52*q^502+101239714440*p^50*q^504+ 60015943144*p^48*q^506+10492999379*p^46*q^508+994636112*p^44*q^510+74979116*p^ 42*q^512+4234234*p^40*q^514+340596*p^38*q^516+1188*p^36*q^518+3075*p^34*q^520+ 856*p^65*q^488+69672*p^63*q^490+514940*p^61*q^492+13800310*p^59*q^494+181399408 *p^57*q^496+1905434004*p^55*q^498+15717445691*p^53*q^500+71037409906*p^51*q^502 +95585369363*p^49*q^504+29192685962*p^47*q^506+3610952613*p^45*q^508+290933954* p^43*q^510+21791690*p^41*q^512+1310860*p^39*q^514+42184*p^37*q^516+8*p^35*q^518 +48*p^33*q^520+5460*p^64*q^488+87660*p^62*q^490+3255352*p^60*q^492+43157804*p^ 58*q^494+558430626*p^56*q^496+5348210240*p^54*q^498+35573232245*p^52*q^500+ 97824609580*p^50*q^502+63773943539*p^48*q^504+11618300012*p^46*q^506+1134087450 *p^44*q^508+83927446*p^42*q^510+4817668*p^40*q^512+443392*p^38*q^514+2260*p^36* q^516+1324*p^34*q^518+96*p^65*q^486+84464*p^63*q^488+402520*p^61*q^490+12530596 *p^59*q^492+156647554*p^57*q^494+1678821289*p^55*q^496+13905489262*p^53*q^498+ 66461502723*p^51*q^500+95896110878*p^49*q^502+31928954255*p^47*q^504+4060535228 *p^45*q^506+336081441*p^43*q^508+25241750*p^41*q^510+1299462*p^39*q^512+58650*p ^37*q^514+84*p^35*q^516+632*p^33*q^518+6392*p^64*q^486+131374*p^62*q^488+ 2545044*p^60*q^490+38453810*p^58*q^492+487077954*p^56*q^494+4708932154*p^54*q^ 496+31896843650*p^52*q^498+94612058756*p^50*q^500+66752970722*p^48*q^502+ 12988890963*p^46*q^504+1297985642*p^44*q^506+96218122*p^42*q^508+6252908*p^40*q ^510+561632*p^38*q^512+7196*p^36*q^514+47594*p^63*q^486+325448*p^61*q^488+ 10662714*p^59*q^490+131212830*p^57*q^492+1447606286*p^55*q^494+12332677797*p^53 *q^496+61104924300*p^51*q^498+97105763360*p^49*q^500+34521243730*p^47*q^502+ 4622683167*p^45*q^504+386339598*p^43*q^506+29297922*p^41*q^508+1315138*p^39*q^ 510+95828*p^37*q^512+48*p^35*q^514+674*p^33*q^516+2536*p^64*q^484+199298*p^62*q ^486+1821328*p^60*q^488+33795822*p^58*q^490+425764384*p^56*q^492+4111211518*p^ 54*q^494+28850293366*p^52*q^496+90333855946*p^50*q^498+70351915768*p^48*q^500+ 14351776080*p^46*q^502+1476988028*p^44*q^504+109510004*p^42*q^506+7536910*p^40* q^508+554740*p^38*q^510+7284*p^36*q^512+4*p^34*q^514+52*p^32*q^516+33376*p^63*q ^484+284654*p^61*q^486+9156897*p^59*q^488+112059730*p^57*q^490+1263315124*p^55* q^492+10864919948*p^53*q^494+56713470032*p^51*q^496+96487097500*p^49*q^498+ 37506667623*p^47*q^500+5169065388*p^45*q^502+447475282*p^43*q^504+32648316*p^41 *q^506+1504680*p^39*q^508+160452*p^37*q^510+660*p^35*q^512+332*p^64*q^482+ 197422*p^62*q^484+1487984*p^60*q^486+30283988*p^58*q^488+368799932*p^56*q^490+ 3626838823*p^54*q^492+25783143688*p^52*q^494+86645244954*p^50*q^496+72797487928 *p^48*q^498+15975989869*p^46*q^500+1685895708*p^44*q^502+126367346*p^42*q^504+ 9381038*p^40*q^506+538928*p^38*q^508+12564*p^36*q^510+198*p^32*q^514+46*p^65*q^ 480+25332*p^63*q^482+360494*p^61*q^484+7274296*p^59*q^486+95780880*p^57*q^488+ 1097692638*p^55*q^490+9596100937*p^53*q^492+51722720164*p^51*q^494+96604908830* p^49*q^496+40278218220*p^47*q^498+5852394831*p^45*q^500+514007748*p^43*q^502+ 37381268*p^41*q^504+1908786*p^39*q^506+210720*p^37*q^508+1032*p^35*q^510+244*p^ 64*q^480+143568*p^62*q^482+1089846*p^60*q^484+26414660*p^58*q^486+316813302*p^ 56*q^488+3141836282*p^54*q^490+23173537496*p^52*q^492+82005594846*p^50*q^494+ 76096506693*p^48*q^496+17555154538*p^46*q^498+1923038224*p^44*q^500+145190938*p ^42*q^502+10981628*p^40*q^504+464710*p^38*q^506+25800*p^36*q^508+16*p^34*q^510+ 6446*p^63*q^480+469660*p^61*q^482+5810962*p^59*q^484+82836446*p^57*q^486+ 961641193*p^55*q^488+8470577240*p^53*q^490+47667991627*p^51*q^492+95003878788*p ^49*q^494+43456751665*p^47*q^496+6519604708*p^45*q^498+585447460*p^43*q^500+ 41383330*p^41*q^502+2380774*p^39*q^504+228156*p^37*q^506+808*p^35*q^508+31*p^31 *q^512+604*p^64*q^478+135458*p^62*q^480+959022*p^60*q^482+23439670*p^58*q^484+ 274322694*p^56*q^486+2768126494*p^54*q^488+20602838950*p^52*q^490+77807979996*p ^50*q^492+77995670902*p^48*q^494+19433411278*p^46*q^496+2186261630*p^44*q^498+ 172002173*p^42*q^500+13011192*p^40*q^502+470038*p^38*q^504+54008*p^36*q^506+120 *p^34*q^508+4*p^67*q^474+4610*p^63*q^478+453208*p^61*q^480+4592336*p^59*q^482+ 72309092*p^57*q^484+830000052*p^55*q^486+7453911814*p^53*q^488+43244739428*p^51 *q^490+94001288737*p^49*q^492+46315368274*p^47*q^494+7374141938*p^45*q^496+ 673333200*p^43*q^498+46597596*p^41*q^500+3152234*p^39*q^502+249324*p^37*q^504+ 2028*p^35*q^506+80*p^64*q^476+61912*p^62*q^478+926266*p^60*q^480+19177754*p^58* q^482+232348490*p^56*q^484+2400197224*p^54*q^486+18460413991*p^52*q^488+ 72976411228*p^50*q^490+80668630257*p^48*q^492+21248251450*p^46*q^494+2480303686 *p^44*q^496+195217202*p^42*q^498+14657762*p^40*q^500+479942*p^38*q^502+62320*p^ 36*q^504+12*p^34*q^506+2*p^30*q^510+3728*p^63*q^476+467738*p^61*q^478+3685112*p ^59*q^480+64394746*p^57*q^482+731221964*p^55*q^484+6557822290*p^53*q^486+ 39601773727*p^51*q^488+91613410478*p^49*q^490+49490594215*p^47*q^492+8175513568 *p^45*q^494+769685495*p^43*q^496+53985964*p^41*q^498+3883008*p^39*q^500+191692* p^37*q^502+8616*p^35*q^504+4*p^33*q^506+54*p^66*q^472+42002*p^62*q^476+1055630* p^60*q^478+16320570*p^58*q^480+200479362*p^56*q^482+2102630616*p^54*q^484+ 16331352726*p^52*q^486+68678601487*p^50*q^488+81796959554*p^48*q^490+ 23423020163*p^46*q^492+2816791702*p^44*q^494+229599315*p^42*q^496+16213996*p^40 *q^498+713232*p^38*q^500+101058*p^36*q^502+44*p^34*q^504+2180*p^63*q^474+336380 *p^61*q^476+2844026*p^59*q^478+55623962*p^57*q^480+628989250*p^55*q^482+ 5770957280*p^53*q^484+35693614648*p^51*q^486+89744531248*p^49*q^488+52396401780 *p^47*q^490+9175949527*p^45*q^492+879761032*p^43*q^494+61938534*p^41*q^496+ 4897964*p^39*q^498+125170*p^37*q^500+10872*p^35*q^502+16*p^66*q^470+10*p^64*q^ 472+22578*p^62*q^474+1154118*p^60*q^476+13260716*p^58*q^478+173799530*p^56*q^ 480+1825747040*p^54*q^482+14576052840*p^52*q^484+63780902884*p^50*q^486+ 83754260869*p^48*q^488+25400623976*p^46*q^490+3191683446*p^44*q^492+261383910*p ^42*q^494+18019378*p^40*q^496+894548*p^38*q^498+108374*p^36*q^500+680*p^34*q^ 502+290*p^65*q^470+344*p^63*q^472+235470*p^61*q^474+2553182*p^59*q^476+48109882 *p^57*q^478+545149871*p^55*q^480+5059283916*p^53*q^482+32486313580*p^51*q^484+ 86501561840*p^49*q^486+55618501252*p^47*q^488+10176521554*p^45*q^490+1007403390 *p^43*q^492+72530180*p^41*q^494+5664686*p^39*q^496+129458*p^37*q^498+21276*p^35 *q^500+18728*p^62*q^472+1118910*p^60*q^474+10800918*p^58*q^476+151858368*p^56*q ^478+1606025540*p^54*q^480+12876640900*p^52*q^482+59604875459*p^50*q^484+ 83998249886*p^48*q^486+27807204826*p^46*q^488+3585547016*p^44*q^490+301042515*p ^42*q^492+19716570*p^40*q^494+1275716*p^38*q^496+76720*p^36*q^498+1548*p^34*q^ 500+296*p^65*q^468+324*p^63*q^470+152642*p^61*q^472+2601424*p^59*q^474+41525072 *p^57*q^476+467641650*p^55*q^478+4437715167*p^53*q^480+29118929406*p^51*q^482+ 83813873612*p^49*q^484+58233414648*p^47*q^486+11393637366*p^45*q^488+1156594084 *p^43*q^490+86580469*p^41*q^492+6693916*p^39*q^494+167368*p^37*q^496+39596*p^35 *q^498+16*p^33*q^500+824*p^64*q^468+7552*p^62*q^470+911250*p^60*q^472+8376484*p ^58*q^474+130388244*p^56*q^476+1391764386*p^54*q^478+11438867406*p^52*q^480+ 54938761802*p^50*q^482+85168680730*p^48*q^484+30017870894*p^46*q^486+4055005778 *p^44*q^488+341878062*p^42*q^490+21751818*p^40*q^492+1617944*p^38*q^494+37158*p ^36*q^496+1828*p^34*q^498+20*p^65*q^466+24*p^63*q^468+98604*p^61*q^470+2621436* p^59*q^472+35128174*p^57*q^474+408931762*p^55*q^476+3877844130*p^53*q^478+ 26374858297*p^51*q^480+80074989992*p^49*q^482+61247061216*p^47*q^484+ 12529628638*p^45*q^486+1315977542*p^43*q^488+99241800*p^41*q^490+7175306*p^39*q ^492+231252*p^37*q^494+42504*p^35*q^496+140*p^33*q^498+1976*p^64*q^466+4320*p^ 62*q^468+755908*p^60*q^470+7481474*p^58*q^472+114816986*p^56*q^474+1216359880*p ^54*q^476+10103302170*p^52*q^478+50876627338*p^50*q^480+84532437014*p^48*q^482+ 32645455021*p^46*q^484+4556148992*p^44*q^486+397231117*p^42*q^488+25996272*p^40 *q^490+2178762*p^38*q^492+30302*p^36*q^494+7840*p^34*q^496+16*p^65*q^464+1610*p ^63*q^466+70614*p^61*q^468+2536148*p^59*q^470+28685732*p^57*q^472+350333556*p^ 55*q^474+3402972022*p^53*q^476+23476952704*p^51*q^478+76783186666*p^49*q^480+ 63568376790*p^47*q^482+13960398018*p^45*q^484+1501272960*p^43*q^486+115780378*p ^41*q^488+7591662*p^39*q^490+348284*p^37*q^492+29636*p^35*q^494+32*p^33*q^496+ 632*p^64*q^464+1296*p^62*q^466+460484*p^60*q^468+6318764*p^58*q^470+99321625*p^ 56*q^472+1050342366*p^54*q^474+8933175014*p^52*q^476+46638784832*p^50*q^478+ 84736757817*p^48*q^480+35015283104*p^46*q^482+5132997234*p^44*q^484+451334240*p ^42*q^486+30260654*p^40*q^488+2550448*p^38*q^490+27584*p^36*q^492+12432*p^34*q^ 494+4*p^32*q^496+6394*p^63*q^464+37770*p^61*q^466+2484924*p^59*q^468+24304448*p ^57*q^470+305479486*p^55*q^472+2979273108*p^53*q^474+21201620662*p^51*q^476+ 72618465902*p^49*q^478+66186840596*p^47*q^480+15281704252*p^45*q^482+1704614368 *p^43*q^484+132189254*p^41*q^486+8017472*p^39*q^488+514264*p^37*q^490+9600*p^35 *q^492+732*p^33*q^494+304*p^64*q^462+3715*p^62*q^464+383338*p^60*q^466+6012492* p^58*q^468+85469040*p^56*q^470+919933906*p^54*q^472+7844801480*p^52*q^474+ 42842390468*p^50*q^476+83308176310*p^48*q^478+37799760897*p^46*q^480+5746167386 *p^44*q^482+523669359*p^42*q^484+36765354*p^40*q^486+2985096*p^38*q^488+54676*p ^36*q^490+17108*p^34*q^492+5496*p^63*q^462+19740*p^61*q^464+1873222*p^59*q^466+ 19924966*p^57*q^468+263232480*p^55*q^470+2600018115*p^53*q^472+18816563760*p^51 *q^474+69055227476*p^49*q^476+67997008488*p^47*q^478+16934284896*p^45*q^480+ 1934075398*p^43*q^482+151980654*p^41*q^484+8712476*p^39*q^486+712630*p^37*q^488 +3054*p^35*q^490+1840*p^33*q^492+56*p^64*q^460+12288*p^62*q^462+248098*p^60*q^ 464+6021360*p^58*q^466+72905902*p^56*q^468+793171504*p^54*q^470+6942840585*p^52 *q^472+38949569210*p^50*q^474+82559053412*p^48*q^476+40225601388*p^46*q^478+ 6450604234*p^44*q^480+597123694*p^42*q^482+42977291*p^40*q^484+3184608*p^38*q^ 486+84382*p^36*q^488+8008*p^34*q^490+16*p^32*q^492+2812*p^63*q^460+14164*p^61*q ^462+1496946*p^59*q^464+16556306*p^57*q^466+230209908*p^55*q^468+2269533816*p^ 53*q^470+16886863609*p^51*q^472+64699704968*p^49*q^474+70192007039*p^47*q^476+ 18469847790*p^45*q^478+2195719803*p^43*q^480+173081236*p^41*q^482+10256270*p^39 *q^484+907508*p^37*q^486+5358*p^35*q^488+4680*p^33*q^490+20780*p^62*q^460+ 155662*p^60*q^462+5663310*p^58*q^464+62423068*p^56*q^466+692022062*p^54*q^468+ 6089520504*p^52*q^470+35620580763*p^50*q^472+80296757890*p^48*q^474+43056733518 *p^46*q^476+7169270466*p^44*q^478+689049713*p^42*q^480+50316914*p^40*q^482+ 3091194*p^38*q^484+145692*p^36*q^486+956*p^34*q^488+148*p^32*q^490+1376*p^63*q^ 458+25722*p^61*q^460+1180012*p^59*q^462+14720590*p^57*q^464+198513108*p^55*q^ 466+1983007190*p^53*q^468+14931692594*p^51*q^470+60963474297*p^49*q^472+ 71264820360*p^47*q^474+20364160921*p^45*q^476+2488511340*p^43*q^478+200624025*p ^41*q^480+12527594*p^39*q^482+1233284*p^37*q^484+10248*p^35*q^486+5128*p^33*q^ 488+16*p^64*q^456+16136*p^62*q^458+85843*p^60*q^460+4754898*p^58*q^462+51578464 *p^56*q^464+594665846*p^54*q^466+5357204124*p^52*q^468+32170312842*p^50*q^470+ 78781392857*p^48*q^472+45486333722*p^46*q^474+8025313188*p^44*q^476+782927972*p ^42*q^478+57702172*p^40*q^480+3064908*p^38*q^482+185044*p^36*q^484+236*p^34*q^ 486+508*p^32*q^488+104*p^63*q^456+42384*p^61*q^458+820528*p^59*q^460+13770342*p ^57*q^462+173319724*p^55*q^464+1730966494*p^53*q^466+13360262908*p^51*q^468+ 56691101716*p^49*q^470+72898409952*p^47*q^472+22028144446*p^45*q^474+2808571406 *p^43*q^476+229203536*p^41*q^478+15052666*p^39*q^480+1289134*p^37*q^482+19398*p ^35*q^484+900*p^33*q^486+4*p^31*q^488+12028*p^62*q^456+97206*p^60*q^458+4146586 *p^58*q^460+43745290*p^56*q^462+521082403*p^54*q^464+4695168306*p^52*q^466+ 29226548346*p^50*q^468+75824966778*p^48*q^470+48234164940*p^46*q^472+8905497412 *p^44*q^474+902949664*p^42*q^476+66569034*p^40*q^478+3414302*p^38*q^480+330154* p^36*q^482+954*p^34*q^484+1676*p^32*q^486+356*p^63*q^454+54247*p^61*q^456+ 538886*p^59*q^458+12704769*p^57*q^460+147835436*p^55*q^462+1505499997*p^53*q^ 464+11769076548*p^51*q^466+52878264760*p^49*q^468+73281317358*p^47*q^470+ 24200356215*p^45*q^472+3160210136*p^43*q^474+265773405*p^41*q^476+18365826*p^39 *q^478+1332390*p^37*q^480+28916*p^35*q^482+4*p^33*q^484+12*p^31*q^486+3264*p^62 *q^454+82988*p^60*q^456+3224632*p^58*q^458+36253124*p^56*q^460+447560210*p^54*q ^462+4123764545*p^52*q^464+26269111916*p^50*q^466+73642887820*p^48*q^468+ 50508956656*p^46*q^470+9897850764*p^44*q^472+1025427242*p^42*q^474+75178282*p^ 40*q^476+3823002*p^38*q^478+412774*p^36*q^480+1348*p^34*q^482+664*p^32*q^484+48 *p^63*q^452+54960*p^61*q^454+423360*p^59*q^456+11611260*p^57*q^458+128905962*p^ 55*q^460+1313797722*p^53*q^462+10504640726*p^51*q^464+48831369424*p^49*q^466+ 74002338897*p^47*q^468+26035004698*p^45*q^470+3573397220*p^43*q^472+304198192*p ^41*q^474+21656028*p^39*q^476+1212598*p^37*q^478+54828*p^35*q^480+44*p^33*q^482 +248*p^31*q^484+3356*p^62*q^452+117142*p^60*q^454+2500962*p^58*q^456+32579768*p ^56*q^458+390689138*p^54*q^460+3600483598*p^52*q^462+23728403175*p^50*q^464+ 70183295064*p^48*q^466+53129661788*p^46*q^468+10928415298*p^44*q^470+1173375043 *p^42*q^472+87130236*p^40*q^474+4945670*p^38*q^476+544730*p^36*q^478+3972*p^34* q^480+31432*p^61*q^452+326382*p^59*q^454+9948410*p^57*q^456+106793828*p^55*q^ 458+1140133975*p^53*q^460+9225324684*p^51*q^462+45239674430*p^49*q^464+ 73697292994*p^47*q^466+28322927666*p^45*q^468+4006200528*p^43*q^470+354250667*p ^41*q^472+24940446*p^39*q^474+1101966*p^37*q^476+86512*p^35*q^478+36*p^33*q^480 +264*p^31*q^482+1328*p^62*q^450+150194*p^60*q^452+1805720*p^58*q^454+29316188*p ^56*q^456+339403360*p^54*q^458+3166697024*p^52*q^460+21202657686*p^50*q^462+ 67483844498*p^48*q^464+55072138328*p^46*q^466+12122507878*p^44*q^468+1325169418 *p^42*q^470+98570974*p^40*q^472+6200034*p^38*q^474+568666*p^36*q^476+5524*p^34* q^478+12*p^30*q^482+20756*p^61*q^450+274172*p^59*q^452+8507022*p^57*q^454+ 90948086*p^55*q^456+987096744*p^53*q^458+8182415567*p^51*q^460+41421792048*p^49 *q^462+73727277154*p^47*q^464+30316590770*p^45*q^466+4504448083*p^43*q^468+ 407097804*p^41*q^470+28942143*p^39*q^472+1148758*p^37*q^474+138294*p^35*q^476+ 364*p^33*q^478+160*p^62*q^448+141022*p^60*q^450+1466232*p^58*q^452+26256328*p^ 56*q^454+296306917*p^54*q^456+2769343976*p^52*q^458+19116628404*p^50*q^460+ 63677759530*p^48*q^462+57385877994*p^46*q^464+13297298018*p^44*q^466+1510858012 *p^42*q^468+113974654*p^40*q^470+7567520*p^38*q^472+497762*p^36*q^474+12190*p^ 34*q^476+52*p^30*q^480+16*p^63*q^446+14928*p^61*q^448+317746*p^59*q^450+6764148 *p^57*q^452+78182098*p^55*q^454+859090610*p^53*q^456+7167154604*p^51*q^458+ 38052002944*p^49*q^460+72524280700*p^47*q^462+32770416357*p^45*q^464+5032758586 *p^43*q^466+471656789*p^41*q^468+32991064*p^39*q^470+1477032*p^37*q^472+210502* p^35*q^474+490*p^33*q^476+2*p^66*q^442+104*p^62*q^446+101016*p^60*q^448+1033192 *p^58*q^450+23289597*p^56*q^452+250706664*p^54*q^454+2415640415*p^52*q^456+ 17002736360*p^50*q^458+60706741521*p^48*q^460+58892756464*p^46*q^462+ 14702308446*p^44*q^464+1706921426*p^42*q^466+131636577*p^40*q^468+9047766*p^38* q^470+405386*p^36*q^472+18860*p^34*q^474+8*p^32*q^476+3816*p^61*q^446+363534*p^ 59*q^448+5474258*p^57*q^450+68017632*p^55*q^452+749330562*p^53*q^454+6365667492 *p^51*q^456+34648899150*p^49*q^458+71781831032*p^47*q^460+34769447510*p^45*q^ 462+5626342819*p^43*q^464+533188238*p^41*q^466+36607434*p^39*q^468+1865290*p^37 *q^470+215710*p^35*q^472+1040*p^33*q^474+4*p^29*q^478+248*p^62*q^444+89408*p^60 *q^446+918751*p^58*q^448+20522140*p^56*q^450+218098110*p^54*q^452+2105975414*p^ 52*q^454+15215343253*p^50*q^456+56792527170*p^48*q^458+60769870011*p^46*q^460+ 16031339868*p^44*q^462+1949990173*p^42*q^464+155995640*p^40*q^466+11221018*p^38 *q^468+351128*p^36*q^470+49182*p^34*q^472+60*p^32*q^474+34*p^65*q^440+2308*p^61 *q^444+348424*p^59*q^446+4209545*p^57*q^448+59720874*p^55*q^450+649348854*p^53* q^452+5558062928*p^51*q^454+31643680827*p^49*q^456+69897945596*p^47*q^458+ 37274745422*p^45*q^460+6273986254*p^43*q^462+613252041*p^41*q^464+41388070*p^39 *q^466+2354436*p^37*q^468+224020*p^35*q^470+1278*p^33*q^472+48*p^62*q^442+40566 *p^60*q^444+796364*p^58*q^446+17075702*p^56*q^448+183419772*p^54*q^450+ 1837555793*p^52*q^452+13488388816*p^50*q^454+53575993695*p^48*q^456+61789548138 *p^46*q^458+17633379591*p^44*q^460+2182455894*p^42*q^462+179789641*p^40*q^464+ 12395434*p^38*q^466+388810*p^36*q^468+59814*p^34*q^470+44*p^32*q^472+1836*p^61* q^442+336774*p^59*q^444+3403732*p^57*q^446+53521541*p^55*q^448+567074904*p^53*q ^450+4919803755*p^51*q^452+28647953322*p^49*q^454+68457989370*p^47*q^456+ 39238306072*p^45*q^458+6982527115*p^43*q^460+698327390*p^41*q^462+47736949*p^39 *q^464+3170580*p^37*q^466+151446*p^35*q^468+6670*p^33*q^470+4*p^31*q^472+236*p^ 64*q^438+24388*p^60*q^442+873742*p^58*q^444+14382092*p^56*q^446+159338546*p^54* q^448+1596174990*p^52*q^450+12035393975*p^50*q^452+49688828172*p^48*q^454+ 63025535863*p^46*q^456+19133586692*p^44*q^458+2486421756*p^42*q^460+208996552*p ^40*q^462+14035581*p^38*q^464+486030*p^36*q^466+90512*p^34*q^468+44*p^32*q^470+ 1136*p^61*q^440+240320*p^59*q^442+2584724*p^57*q^444+46436456*p^55*q^446+ 488115516*p^53*q^448+4290392862*p^51*q^450+25991828855*p^49*q^452+66039062066*p ^47*q^454+41725820255*p^45*q^456+7746283172*p^43*q^458+799174265*p^41*q^460+ 56061316*p^39*q^462+3992244*p^37*q^464+109520*p^35*q^466+10230*p^33*q^468+60*p^ 64*q^436+18*p^62*q^438+13292*p^60*q^440+892102*p^58*q^442+11683997*p^56*q^444+ 137440534*p^54*q^446+1396237525*p^52*q^448+10625844958*p^50*q^450+46512461957*p ^48*q^452+63371266274*p^46*q^454+20897491265*p^44*q^456+2775691860*p^42*q^458+ 239882675*p^40*q^460+15270218*p^38*q^462+660168*p^36*q^464+84510*p^34*q^466+418 *p^32*q^468+862*p^63*q^436+172*p^61*q^438+155312*p^59*q^440+2227870*p^57*q^442+ 40690776*p^55*q^444+419898176*p^53*q^446+3781823079*p^51*q^448+23376829742*p^49 *q^450+64018254529*p^47*q^452+43588834966*p^45*q^454+8609971372*p^43*q^456+ 908548008*p^41*q^458+65718135*p^39*q^460+4709754*p^37*q^462+90802*p^35*q^464+ 19884*p^33*q^466+10348*p^60*q^438+851537*p^58*q^440+9503648*p^56*q^442+ 120813761*p^54*q^444+1215170176*p^52*q^446+9457053886*p^50*q^448+42826938332*p^ 48*q^450+63985992014*p^46*q^452+22511522704*p^44*q^454+3138521724*p^42*q^456+ 274879280*p^40*q^458+17174620*p^38*q^460+986856*p^36*q^462+57112*p^34*q^464+ 1246*p^32*q^466+798*p^63*q^434+332*p^61*q^436+98386*p^59*q^438+2163190*p^57*q^ 440+34750262*p^55*q^442+362555819*p^53*q^444+3289098876*p^51*q^446+21113907868* p^49*q^448+61003889386*p^47*q^450+45918359693*p^45*q^452+9504773492*p^43*q^454+ 1041945884*p^41*q^456+78322378*p^39*q^458+5426638*p^37*q^460+105718*p^35*q^462+ 32936*p^33*q^464+8*p^31*q^466+1794*p^62*q^434+4240*p^60*q^436+666924*p^58*q^438 +7282008*p^56*q^440+104373706*p^54*q^442+1055623764*p^52*q^444+8321955630*p^50* q^446+39749539434*p^48*q^448+63723517648*p^46*q^450+24448628415*p^44*q^452+ 3502963578*p^42*q^454+315516047*p^40*q^456+19124738*p^38*q^458+1304668*p^36*q^ 460+32604*p^34*q^462+1912*p^32*q^464+56*p^63*q^432+32*p^61*q^434+60904*p^59*q^ 436+2080458*p^57*q^438+29725694*p^55*q^440+313005914*p^53*q^442+2896063644*p^51 *q^444+18899015316*p^49*q^446+58680200479*p^47*q^448+47419449968*p^45*q^450+ 10516909757*p^43*q^452+1171374886*p^41*q^454+90110457*p^39*q^456+5834746*p^37*q ^458+165902*p^35*q^460+26294*p^33*q^462+100*p^31*q^464+4182*p^62*q^432+3102*p^ 60*q^434+521782*p^58*q^436+6410762*p^56*q^438+92187909*p^54*q^440+918064570*p^ 52*q^442+7385604334*p^50*q^444+36334847836*p^48*q^446+63603612677*p^46*q^448+ 26180822084*p^44*q^450+3941417196*p^42*q^452+364641958*p^40*q^454+23254393*p^38 *q^456+1737930*p^36*q^458+17184*p^34*q^460+7620*p^32*q^462+52*p^63*q^430+2294*p ^61*q^432+43060*p^59*q^434+1998352*p^57*q^436+23940224*p^55*q^438+270626103*p^ 53*q^440+2511696956*p^51*q^442+16947273473*p^49*q^444+55391871954*p^47*q^446+ 49550252593*p^45*q^448+11536891588*p^43*q^450+1343882667*p^41*q^452+104948622*p ^39*q^454+6280417*p^37*q^456+255176*p^35*q^458+21568*p^33*q^460+44*p^31*q^462+ 1284*p^62*q^430+1140*p^60*q^432+316316*p^58*q^434+5206465*p^56*q^436+79991852*p ^54*q^438+793662835*p^52*q^440+6480514372*p^50*q^442+33498963471*p^48*q^444+ 62691035876*p^46*q^446+28233840326*p^44*q^448+4383443428*p^42*q^450+413152041*p ^40*q^452+27185392*p^38*q^454+1970620*p^36*q^456+17930*p^34*q^458+7730*p^32*q^ 460+4*p^30*q^462+11086*p^61*q^430+23456*p^59*q^432+1830398*p^57*q^434+20370141* p^55*q^436+234741018*p^53*q^438+2214573052*p^51*q^440+15135761364*p^49*q^442+ 52665839837*p^47*q^444+50690479658*p^45*q^446+12703577737*p^43*q^448+1508768790 *p^41*q^450+121665276*p^39*q^452+6726504*p^37*q^454+423230*p^35*q^456+6112*p^33 *q^458+886*p^31*q^460+764*p^62*q^428+2810*p^60*q^430+251806*p^58*q^432+4905706* p^56*q^434+68908768*p^54*q^436+688226220*p^52*q^438+5724800248*p^50*q^440+ 30385532044*p^48*q^442+61922996154*p^46*q^444+30005297884*p^44*q^446+4926219848 *p^42*q^448+475862028*p^40*q^450+32723275*p^38*q^452+2317612*p^36*q^454+32672*p ^34*q^456+9860*p^32*q^458+9080*p^61*q^428+14338*p^59*q^430+1371608*p^57*q^432+ 16427448*p^55*q^434+203782014*p^53*q^436+1914478986*p^51*q^438+13527147875*p^49 *q^440+49355966490*p^47*q^442+52326433463*p^45*q^444+13874209796*p^43*q^446+ 1714918561*p^41*q^448+139906458*p^39*q^450+7652892*p^37*q^452+535908*p^35*q^454 +1480*p^33*q^456+1536*p^31*q^458+118*p^62*q^426+16728*p^60*q^428+157154*p^58*q^ 430+4723350*p^56*q^432+58454224*p^54*q^434+597201748*p^52*q^436+5013489196*p^50 *q^438+27825988958*p^48*q^440+60348848976*p^46*q^442+32094268611*p^44*q^444+ 5451975172*p^42*q^446+545124197*p^40*q^448+38226532*p^38*q^450+2398952*p^36*q^ 452+69368*p^34*q^454+4450*p^32*q^456+30*p^30*q^458+5516*p^61*q^426+9086*p^59*q^ 428+1058322*p^57*q^430+13526354*p^55*q^432+177940226*p^53*q^434+1677536044*p^51 *q^436+12004343558*p^49*q^438+46544861571*p^47*q^440+53093999578*p^45*q^442+ 15210904882*p^43*q^444+1923820742*p^41*q^446+160140023*p^39*q^448+9117912*p^37* q^450+700812*p^35*q^452+2720*p^33*q^454+2394*p^31*q^456+29044*p^60*q^426+103614 *p^58*q^428+4299564*p^56*q^430+50258000*p^54*q^432+516385342*p^52*q^434+ 4426157721*p^50*q^436+25107700494*p^48*q^438+59013529145*p^46*q^440+33789213946 *p^44*q^442+6079293296*p^42*q^444+622416712*p^40*q^446+45254136*p^38*q^448+ 2405816*p^36*q^450+110148*p^34*q^452+352*p^32*q^454+220*p^30*q^456+2482*p^61*q^ 424+22004*p^59*q^426+805280*p^57*q^428+11874614*p^55*q^430+153958570*p^53*q^432 +1451903590*p^51*q^434+10688682785*p^49*q^436+43147885786*p^47*q^438+ 54242004424*p^45*q^440+16521701638*p^43*q^442+2187439882*p^41*q^444+184749648*p ^39*q^446+11049180*p^37*q^448+903846*p^35*q^450+6600*p^33*q^452+2322*p^31*q^454 +44*p^62*q^422+24736*p^60*q^424+59636*p^58*q^426+3548188*p^56*q^428+40937830*p^ 54*q^430+446499904*p^52*q^432+3859857790*p^50*q^434+22834448751*p^48*q^436+ 56929526818*p^46*q^438+35905217467*p^44*q^440+6714727676*p^42*q^442+709190996*p ^40*q^444+52390784*p^38*q^446+2561274*p^36*q^448+142074*p^34*q^450+136*p^32*q^ 452+258*p^30*q^454+176*p^61*q^422+49670*p^59*q^424+545156*p^57*q^426+10826478*p ^55*q^428+133930088*p^53*q^430+1274486684*p^51*q^432+9463912914*p^49*q^434+ 40403758891*p^47*q^436+54387406566*p^45*q^438+17986544518*p^43*q^440+2433364934 *p^41*q^442+211415990*p^39*q^444+13075750*p^37*q^446+888392*p^35*q^448+16788*p^ 33*q^450+244*p^31*q^452+16*p^29*q^454+18922*p^60*q^422+63000*p^58*q^424+3017544 *p^56*q^426+34776650*p^54*q^428+388831682*p^52*q^430+3394659531*p^50*q^432+ 20502671292*p^48*q^434+55078865028*p^46*q^436+37435707742*p^44*q^438+7483374459 *p^42*q^440+811379038*p^40*q^442+61205550*p^38*q^444+3008082*p^36*q^446+257452* p^34*q^448+296*p^32*q^450+698*p^30*q^452+740*p^61*q^420+66272*p^59*q^422+369814 *p^57*q^424+9734356*p^55*q^426+114356119*p^53*q^428+1096622538*p^51*q^430+ 8387598802*p^49*q^432+37154568914*p^47*q^434+55001771739*p^45*q^436+19426086074 *p^43*q^438+2747350878*p^41*q^440+243801404*p^39*q^442+16039899*p^37*q^444+ 909418*p^35*q^446+18388*p^33*q^448+6*p^29*q^452+4748*p^60*q^420+71904*p^58*q^ 422+2259098*p^56*q^424+28632524*p^54*q^426+336394734*p^52*q^428+2955030802*p^50 *q^430+18538728282*p^48*q^432+52649258678*p^46*q^434+39403731699*p^44*q^436+ 8204597028*p^42*q^438+923848042*p^40*q^440+68985916*p^38*q^442+3298788*p^36*q^ 444+296734*p^34*q^446+1612*p^32*q^448+110*p^30*q^450+80*p^61*q^418+74676*p^59*q ^420+280210*p^57*q^422+8767406*p^55*q^424+98857478*p^53*q^426+961371531*p^51*q^ 428+7411692774*p^49*q^430+34496245719*p^47*q^432+54594725532*p^45*q^434+ 21022547117*p^43*q^436+3058976224*p^41*q^438+279894404*p^39*q^440+19197594*p^37 *q^442+956221*p^35*q^444+45620*p^33*q^446+4*p^31*q^448+114*p^29*q^450+5596*p^60 *q^418+111510*p^58*q^420+1730056*p^56*q^422+25343084*p^54*q^424+291508056*p^52* q^426+2596160364*p^50*q^428+16542983558*p^48*q^430+50401196415*p^46*q^432+ 40731817604*p^44*q^434+9101304878*p^42*q^436+1046841902*p^40*q^438+80348206*p^ 38*q^440+4242358*p^36*q^442+329262*p^34*q^444+1808*p^32*q^446+40022*p^59*q^418+ 227338*p^57*q^420+7332212*p^55*q^422+82253928*p^53*q^424+828163016*p^51*q^426+ 6541656749*p^49*q^428+31529049302*p^47*q^430+54590885650*p^45*q^432+22538171866 *p^43*q^434+3440789414*p^41*q^436+323353344*p^39*q^438+22428090*p^37*q^440+ 890718*p^35*q^442+75172*p^33*q^444+68*p^31*q^446+24*p^29*q^448+2100*p^60*q^416+ 169774*p^58*q^418+1241678*p^56*q^420+22302612*p^54*q^422+254010271*p^52*q^424+ 2257456580*p^50*q^426+14892364935*p^48*q^428+47691598456*p^46*q^430+42420508963 *p^44*q^432+9947623266*p^42*q^434+1182094680*p^40*q^436+91110808*p^38*q^438+ 5282264*p^36*q^440+361044*p^34*q^442+4308*p^32*q^444+8*p^28*q^448+28764*p^59*q^ 416+200386*p^57*q^418+6111882*p^55*q^420+69688348*p^53*q^422+721350889*p^51*q^ 424+5746618060*p^49*q^426+29056032812*p^47*q^428+53656937704*p^45*q^430+ 24245939747*p^43*q^432+3817154220*p^41*q^434+374392748*p^39*q^436+25837416*p^37 *q^438+959636*p^35*q^440+91590*p^33*q^442+152*p^31*q^444+252*p^60*q^414+158090* p^58*q^416+993414*p^56*q^418+19890040*p^54*q^420+219679694*p^52*q^422+ 1982666638*p^50*q^424+13262015704*p^48*q^426+45257241911*p^46*q^428+43417136682 *p^44*q^430+10961907927*p^42*q^432+1331940574*p^40*q^434+105173426*p^38*q^436+ 6713186*p^36*q^438+342004*p^34*q^440+12432*p^32*q^442+2*p^28*q^446+36*p^61*q^ 412+20728*p^59*q^414+275892*p^57*q^416+4774564*p^55*q^418+59382883*p^53*q^420+ 622524698*p^51*q^422+5063257051*p^49*q^424+26302876062*p^47*q^426+53061957446*p ^45*q^428+25770348332*p^43*q^430+4286264808*p^41*q^432+429932528*p^39*q^434+ 29876281*p^37*q^436+1225242*p^35*q^438+119350*p^33*q^440+172*p^31*q^442+2*p^64* q^408+164*p^60*q^412+116888*p^58*q^414+711954*p^56*q^416+17212312*p^54*q^418+ 187284041*p^52*q^420+1712968960*p^50*q^422+11866230625*p^48*q^424+42459938838*p ^46*q^426+44796579043*p^44*q^428+11948728426*p^42*q^430+1504892087*p^40*q^432+ 121350586*p^38*q^434+7854055*p^36*q^436+276538*p^34*q^438+17948*p^32*q^440+4*p^ 30*q^442+5084*p^59*q^412+350752*p^57*q^414+3789566*p^55*q^416+51097284*p^53*q^ 418+544794744*p^51*q^420+4451269478*p^49*q^422+24123845717*p^47*q^424+ 51557587310*p^45*q^426+27505710830*p^43*q^428+4717373322*p^41*q^430+488765455*p ^39*q^432+33339566*p^37*q^434+1629954*p^35*q^436+126684*p^33*q^438+1188*p^31*q^ 440+488*p^60*q^410+108294*p^58*q^412+634798*p^56*q^414+14936184*p^54*q^416+ 161627894*p^52*q^418+1503951689*p^50*q^420+10498607884*p^48*q^422+39933815164*p ^46*q^424+45350958184*p^44*q^426+13098818625*p^42*q^428+1695413580*p^40*q^430+ 144500613*p^38*q^432+9573610*p^36*q^434+264226*p^34*q^436+30638*p^32*q^438+4*p^ 30*q^440+30*p^63*q^406+3286*p^59*q^410+333282*p^57*q^412+2915954*p^55*q^414+ 44574086*p^53*q^416+467892000*p^51*q^418+3896776701*p^49*q^420+21742470230*p^47 *q^422+50454527268*p^45*q^424+28994148462*p^43*q^426+5280383059*p^41*q^428+ 558001412*p^39*q^430+38146322*p^37*q^432+2141710*p^35*q^434+124500*p^33*q^436+ 2028*p^31*q^438+64*p^60*q^408+48316*p^58*q^410+631096*p^56*q^412+12116738*p^54* q^414+135919638*p^52*q^416+1298057896*p^50*q^418+9372247156*p^48*q^420+ 37097276902*p^46*q^422+46375795623*p^44*q^424+14182125054*p^42*q^426+1905536452 *p^40*q^428+165441874*p^38*q^430+10761022*p^36*q^432+294788*p^34*q^434+33664*p^ 32*q^436+52*p^30*q^438+2994*p^59*q^408+354734*p^57*q^410+2308314*p^55*q^412+ 39449676*p^53*q^414+410971669*p^51*q^416+3423201116*p^49*q^418+19772286149*p^47 *q^420+48599057464*p^45*q^422+30647460062*p^43*q^424+5796911884*p^41*q^426+ 631965892*p^39*q^428+44048416*p^37*q^430+2682721*p^35*q^432+89894*p^33*q^434+ 6012*p^31*q^436+184*p^62*q^404+30682*p^58*q^408+687130*p^56*q^410+10129516*p^54 *q^412+116660682*p^52*q^414+1132852339*p^50*q^416+8258139066*p^48*q^418+ 34598556645*p^46*q^420+46402532750*p^44*q^422+15502216185*p^42*q^424+2138705150 *p^40*q^426+195098830*p^38*q^428+12379534*p^36*q^430+482708*p^34*q^432+42776*p^ 32*q^434+96*p^30*q^436+1692*p^59*q^406+252550*p^57*q^408+1804204*p^55*q^410+ 33645560*p^53*q^412+351073002*p^51*q^414+2997303571*p^49*q^416+17736364636*p^47 *q^418+47017493940*p^45*q^420+32073476280*p^43*q^422+6446796375*p^41*q^424+ 716827328*p^39*q^426+51317825*p^37*q^428+3294822*p^35*q^430+52160*p^33*q^432+ 6944*p^31*q^434+52*p^62*q^402+6*p^60*q^404+16672*p^58*q^406+787372*p^56*q^408+ 8065758*p^54*q^410+100733796*p^52*q^412+980911728*p^50*q^414+7335829280*p^48*q^ 416+31893458008*p^46*q^418+46871203636*p^44*q^420+16648756152*p^42*q^422+ 2398151759*p^40*q^424+222835962*p^38*q^426+13785753*p^36*q^428+620726*p^34*q^ 430+44790*p^32*q^432+700*p^30*q^434+594*p^61*q^402+228*p^59*q^404+171632*p^57*q ^406+1541634*p^55*q^408+29025690*p^53*q^410+302892566*p^51*q^412+2613327780*p^ 49*q^414+16050334882*p^47*q^416+44866723404*p^45*q^418+33621349990*p^43*q^420+ 7076672544*p^41*q^422+815197748*p^39*q^424+60455698*p^37*q^426+3836199*p^35*q^ 428+77936*p^33*q^430+8400*p^31*q^432+14400*p^58*q^404+778704*p^56*q^406+6550111 *p^54*q^408+87455338*p^52*q^410+857876183*p^50*q^412+6458047646*p^48*q^414+ 29534192611*p^46*q^416+46456741614*p^44*q^418+18027501115*p^42*q^420+2665023988 *p^40*q^422+255826178*p^38*q^424+15491882*p^36*q^426+857184*p^34*q^428+21448*p^ 32*q^430+1372*p^30*q^432+614*p^61*q^400+180*p^59*q^402+106140*p^57*q^404+ 1557560*p^55*q^406+24551038*p^53*q^408+258351030*p^51*q^410+2285903870*p^49*q^ 412+14287353108*p^47*q^414+42959703066*p^45*q^416+34804671952*p^43*q^418+ 7845919110*p^41*q^420+925977270*p^39*q^422+73193172*p^37*q^424+4559112*p^35*q^ 426+119125*p^33*q^428+15220*p^31*q^430+28*p^29*q^432+1112*p^60*q^400+5172*p^58* q^402+638552*p^56*q^404+4982682*p^54*q^406+74896285*p^52*q^408+740007204*p^50*q ^410+5706005093*p^48*q^412+27012783672*p^46*q^414+46487784627*p^44*q^416+ 19282800384*p^42*q^418+2982903851*p^40*q^420+290214102*p^38*q^422+17229447*p^36 *q^424+1051242*p^34*q^426+10728*p^32*q^428+892*p^30*q^430+44*p^61*q^398+18*p^59 *q^400+71968*p^57*q^402+1632842*p^55*q^404+20501640*p^53*q^406+224363164*p^51*q ^408+1990197382*p^49*q^410+12884745101*p^47*q^412+40578946312*p^45*q^414+ 36130222069*p^43*q^416+8552956574*p^41*q^418+1041054476*p^39*q^420+84480132*p^ 37*q^422+4993154*p^35*q^424+165620*p^33*q^426+11634*p^31*q^428+220*p^29*q^430+ 2866*p^60*q^398+2584*p^58*q^400+509992*p^56*q^402+4279544*p^54*q^404+65513060*p ^52*q^406+644050341*p^50*q^408+5015858036*p^48*q^410+24821257946*p^46*q^412+ 45519468122*p^44*q^414+20758083862*p^42*q^416+3307398218*p^40*q^418+336425130*p ^38*q^420+21141056*p^36*q^422+1357681*p^34*q^424+18550*p^32*q^426+2792*p^30*q^ 428+44*p^61*q^396+1510*p^59*q^398+48988*p^57*q^400+1621666*p^55*q^402+16581070* p^53*q^404+191107066*p^51*q^406+1736287722*p^49*q^408+11408805398*p^47*q^410+ 38499070468*p^45*q^412+37021362900*p^43*q^414+9439521725*p^41*q^416+1177574550* p^39*q^418+98752030*p^37*q^420+5401724*p^35*q^422+251250*p^33*q^424+4048*p^31*q ^426+36*p^29*q^428+920*p^60*q^396+772*p^58*q^398+309654*p^56*q^400+3581298*p^54 *q^402+55960255*p^52*q^404+552109302*p^50*q^406+4415289932*p^48*q^408+ 22567077710*p^46*q^410+45070100032*p^44*q^412+22009821808*p^42*q^414+3694805670 *p^40*q^416+379563542*p^38*q^418+25059940*p^36*q^420+1537000*p^34*q^422+20764*p ^32*q^424+4064*p^30*q^426+16*p^28*q^428+6814*p^59*q^396+24072*p^57*q^398+ 1592594*p^55*q^400+13816616*p^53*q^402+165971307*p^51*q^404+1514411080*p^49*q^ 406+10245064491*p^47*q^408+36045308140*p^45*q^410+38044041386*p^43*q^412+ 10235081410*p^41*q^414+1320841561*p^39*q^416+113407188*p^37*q^418+5858692*p^35* q^420+339726*p^33*q^422+2420*p^31*q^424+268*p^29*q^426+580*p^60*q^394+2990*p^58 *q^396+260946*p^56*q^398+3433634*p^54*q^400+47607460*p^52*q^402+480874129*p^50* q^404+3861348432*p^48*q^406+20566215006*p^46*q^408+43704884118*p^44*q^410+ 23503166169*p^42*q^412+4089956876*p^40*q^414+436854612*p^38*q^416+30524806*p^36 *q^418+1836447*p^34*q^420+46696*p^32*q^422+1984*p^30*q^424+5872*p^59*q^394+ 11376*p^57*q^396+1173156*p^55*q^398+11025056*p^53*q^400+142356102*p^51*q^402+ 1312936136*p^49*q^404+9038440010*p^47*q^406+33910774985*p^45*q^408+38577589132* p^43*q^410+11240532566*p^41*q^412+1480791980*p^39*q^414+131969342*p^37*q^416+ 6797504*p^35*q^418+409954*p^33*q^420+1644*p^31*q^422+788*p^29*q^424+94*p^60*q^ 392+9912*p^58*q^394+159730*p^56*q^396+3538020*p^54*q^398+40180984*p^52*q^400+ 412228032*p^50*q^402+3399233106*p^48*q^404+18589555876*p^46*q^406+42722822381*p ^44*q^408+24728633928*p^42*q^410+4541209423*p^40*q^412+494439046*p^38*q^414+ 35591865*p^36*q^416+1906818*p^34*q^418+70154*p^32*q^420+596*p^30*q^422+12*p^28* q^424+3748*p^59*q^392+10150*p^57*q^394+959334*p^55*q^396+8950962*p^53*q^398+ 123436629*p^51*q^400+1140361640*p^49*q^402+8065598802*p^47*q^404+31454228894*p^ 45*q^406+39291171070*p^43*q^408+12140665428*p^41*q^410+1662847101*p^39*q^412+ 150948446*p^37*q^414+8286442*p^35*q^416+505298*p^33*q^418+5206*p^31*q^420+604*p ^29*q^422+17116*p^58*q^392+92300*p^56*q^394+3298130*p^54*q^396+34062990*p^52*q^ 398+357451664*p^50*q^400+2967567584*p^48*q^402+16863528113*p^46*q^404+ 41081326106*p^44*q^406+26122873056*p^42*q^408+4997236788*p^40*q^410+564805014*p ^38*q^412+42142740*p^36*q^414+1976394*p^34*q^416+99392*p^32*q^418+92*p^30*q^420 +80*p^28*q^422+1786*p^59*q^390+17928*p^57*q^392+744106*p^55*q^394+7975298*p^53* q^396+105145040*p^51*q^398+990763720*p^49*q^400+7092887126*p^47*q^402+ 29312741850*p^45*q^404+39334005950*p^43*q^406+13266562090*p^41*q^408+1859851160 *p^39*q^410+173684472*p^37*q^412+10165316*p^35*q^414+647797*p^33*q^416+11362*p^ 31*q^418+224*p^29*q^420+36*p^60*q^388+14996*p^58*q^390+51032*p^56*q^392+2789242 *p^54*q^394+27440462*p^52*q^396+305582630*p^50*q^398+2596844825*p^48*q^400+ 15117917068*p^46*q^402+39777765994*p^44*q^404+27310203068*p^42*q^406+5539972718 *p^40*q^408+635713758*p^38*q^410+49717274*p^36*q^412+2150584*p^34*q^414+108085* p^32*q^416+210*p^30*q^418+104*p^28*q^420+120*p^59*q^388+28058*p^57*q^390+495218 *p^55*q^392+7454726*p^53*q^394+91346592*p^51*q^396+860290606*p^49*q^398+ 6315567919*p^47*q^400+27018505712*p^45*q^402+39628337789*p^43*q^404+14204970394 *p^41*q^406+2075761263*p^39*q^408+198274686*p^37*q^410+11822978*p^35*q^412+ 653388*p^33*q^414+18956*p^31*q^416+4*p^27*q^420+12346*p^58*q^388+64822*p^56*q^ 390+2464128*p^54*q^392+22917812*p^52*q^394+265653170*p^50*q^396+2259361872*p^48 *q^398+13650128050*p^46*q^400+37764423318*p^44*q^402+28587803996*p^42*q^404+ 6085835992*p^40*q^406+724183638*p^38*q^408+57847998*p^36*q^410+2711026*p^34*q^ 412+167154*p^32*q^414+1268*p^30*q^416+48*p^28*q^418+568*p^59*q^386+36952*p^57*q ^388+303392*p^55*q^390+6812570*p^53*q^392+77003734*p^51*q^394+742049572*p^49*q^ 396+5532726376*p^47*q^398+24953343807*p^45*q^400+39302215642*p^43*q^402+ 15430457616*p^41*q^404+2308933730*p^39*q^406+230122200*p^37*q^408+14728630*p^35 *q^410+669704*p^33*q^412+25226*p^31*q^414+8*p^27*q^418+3092*p^58*q^386+50004*p^ 56*q^388+1895298*p^54*q^390+18851190*p^52*q^392+226408530*p^50*q^394+1976007130 *p^48*q^396+12174299742*p^46*q^398+36277219904*p^44*q^400+29523095424*p^42*q^ 402+6712108521*p^40*q^404+812506982*p^38*q^406+65530592*p^36*q^408+2970808*p^34 *q^410+190746*p^32*q^412+2068*p^30*q^414+56*p^59*q^384+44092*p^57*q^386+254536* p^55*q^388+6339270*p^53*q^390+65919326*p^51*q^392+644939268*p^49*q^394+ 4905390145*p^47*q^396+22833772956*p^45*q^398+39141810177*p^43*q^400+16436191608 *p^41*q^402+2573805032*p^39*q^404+261094180*p^37*q^406+17960760*p^35*q^408+ 733322*p^33*q^410+30074*p^31*q^412+68*p^29*q^414+4*p^27*q^416+3944*p^58*q^384+ 64642*p^56*q^386+1410942*p^54*q^388+16548142*p^52*q^390+196483341*p^50*q^392+ 1715055206*p^48*q^394+10915989887*p^46*q^396+34118755252*p^44*q^398+30644824307 *p^42*q^400+7335321094*p^40*q^402+919518201*p^38*q^404+76989760*p^36*q^406+ 3769129*p^34*q^408+231766*p^32*q^410+5976*p^30*q^412+23978*p^57*q^384+196384*p^ 55*q^386+5451780*p^53*q^388+54210656*p^51*q^390+554944890*p^49*q^392+4282869922 *p^47*q^394+20954396300*p^45*q^396+38410011078*p^43*q^398+17718873641*p^41*q^ 400+2851899024*p^39*q^402+301418145*p^37*q^404+20767296*p^35*q^406+768806*p^33* q^408+39738*p^31*q^410+84*p^29*q^412+1460*p^58*q^382+93186*p^56*q^384+996972*p^ 54*q^386+14810220*p^52*q^388+168631196*p^50*q^390+1497894630*p^48*q^392+ 9702931464*p^46*q^394+32363228716*p^44*q^396+31332938456*p^42*q^398+8055037599* p^40*q^400+1025917048*p^38*q^402+87812278*p^36*q^404+4791014*p^34*q^406+229580* p^32*q^408+5122*p^30*q^410+18336*p^57*q^382+148684*p^55*q^384+4653966*p^53*q^ 386+45333070*p^51*q^388+477498754*p^49*q^390+3777344454*p^47*q^392+19023419488* p^45*q^394+37881172203*p^43*q^396+18734573500*p^41*q^398+3181322409*p^39*q^400+ 342226816*p^37*q^402+24309506*p^35*q^404+861530*p^33*q^406+60692*p^31*q^408+796 *p^29*q^410+172*p^58*q^380+88694*p^56*q^382+832764*p^54*q^384+13336466*p^52*q^ 386+145557380*p^50*q^388+1302214238*p^48*q^390+8681815264*p^46*q^392+ 30236205272*p^44*q^394+32126816672*p^42*q^396+8766709512*p^40*q^398+1149211302* p^38*q^400+102293240*p^36*q^402+5943068*p^34*q^404+226692*p^32*q^406+5924*p^30* q^408+28*p^59*q^378+13776*p^57*q^380+163708*p^55*q^382+3576351*p^53*q^384+ 38138904*p^51*q^386+412651958*p^49*q^388+3284299924*p^47*q^390+17303535064*p^45 *q^392+36728652692*p^43*q^394+20013827152*p^41*q^396+3508854162*p^39*q^398+ 395290362*p^37*q^400+28262660*p^35*q^402+1140303*p^33*q^404+76978*p^31*q^406+ 1281*p^29*q^408+132*p^58*q^378+66316*p^56*q^380+569850*p^54*q^382+11887130*p^52 *q^384+122301328*p^50*q^386+1126387853*p^48*q^388+7667238902*p^46*q^390+ 28483436596*p^44*q^392+32559471454*p^42*q^394+9594609558*p^40*q^396+1284272834* p^38*q^398+117308653*p^36*q^400+7102280*p^34*q^402+202988*p^32*q^404+9044*p^30* q^406+32*p^28*q^408+3196*p^57*q^378+192410*p^55*q^380+2914142*p^53*q^382+ 32862606*p^51*q^384+356526660*p^49*q^386+2902297056*p^47*q^388+15627763072*p^45 *q^390+35807247036*p^43*q^392+20985050850*p^41*q^394+3885800998*p^39*q^396+ 439199400*p^37*q^398+32428756*p^35*q^400+1404064*p^33*q^402+69018*p^31*q^404+ 588*p^29*q^406+352*p^58*q^376+66780*p^56*q^378+476954*p^54*q^380+10354590*p^52* q^382+104679129*p^50*q^384+977420810*p^48*q^386+6813350894*p^46*q^388+ 26311213188*p^44*q^390+33093329111*p^42*q^392+10369582552*p^40*q^394+1442744061 *p^38*q^396+139493354*p^36*q^398+8677358*p^34*q^400+265230*p^32*q^402+20746*p^ 30*q^404+248*p^28*q^406+2318*p^57*q^376+181828*p^55*q^378+2228556*p^53*q^380+ 28640998*p^51*q^382+305860206*p^49*q^384+2513457562*p^47*q^386+14150555477*p^45 *q^388+34380539976*p^43*q^390+22194712684*p^41*q^392+4289366234*p^39*q^394+ 500566846*p^37*q^396+37149328*p^35*q^398+1820048*p^33*q^400+61214*p^31*q^402+ 640*p^29*q^404+40*p^58*q^374+29328*p^56*q^376+381968*p^54*q^378+8547929*p^52*q^ 380+86503446*p^50*q^382+846349355*p^48*q^384+5999610796*p^46*q^386+24549832975* p^44*q^388+33114231924*p^42*q^390+11317867921*p^40*q^392+1595270230*p^38*q^394+ 159502104*p^36*q^396+9973920*p^34*q^398+299402*p^32*q^400+18236*p^30*q^402+28*p ^28*q^404+1978*p^57*q^374+197742*p^55*q^376+1782520*p^53*q^378+25610018*p^51*q^ 380+265144680*p^49*q^382+2210558810*p^47*q^384+12704780338*p^45*q^386+ 33227381527*p^43*q^388+23060028078*p^41*q^390+4725781194*p^39*q^392+560140526*p ^37*q^394+43759256*p^35*q^396+2284124*p^33*q^398+60038*p^31*q^400+3488*p^29*q^ 402+20*p^27*q^404+19602*p^56*q^374+407700*p^54*q^376+7203762*p^52*q^378+ 73998836*p^50*q^380+728770254*p^48*q^382+5312550723*p^46*q^384+22513792668*p^44 *q^386+33239413215*p^42*q^388+12142784298*p^40*q^390+1795726920*p^38*q^392+ 183380048*p^36*q^394+11570104*p^34*q^396+403516*p^32*q^398+20107*p^30*q^400+22* p^28*q^402+1132*p^57*q^372+144494*p^55*q^374+1262818*p^53*q^376+21925968*p^51*q ^378+225468366*p^49*q^380+1913863700*p^47*q^382+11422541526*p^45*q^384+ 31581675160*p^43*q^386+24213590861*p^41*q^388+5199558816*p^39*q^390+630875774*p ^37*q^392+52299142*p^35*q^394+2867814*p^33*q^396+66764*p^31*q^398+4098*p^29*q^ 400+10*p^58*q^370+10462*p^56*q^372+426176*p^54*q^374+5844670*p^52*q^376+ 63386248*p^50*q^378+631265780*p^48*q^380+4659990962*p^46*q^382+20839593163*p^44 *q^384+32933741416*p^42*q^386+13117697051*p^40*q^388+1977827770*p^38*q^390+ 210235900*p^36*q^392+12834704*p^34*q^394+494496*p^32*q^396+15580*p^30*q^398+284 *p^28*q^400+144*p^57*q^370+100630*p^55*q^372+1039580*p^53*q^374+19171986*p^51*q ^376+191280142*p^49*q^378+1676145573*p^47*q^380+10190860412*p^45*q^382+ 30177125763*p^43*q^384+24914273546*p^41*q^386+5734442484*p^39*q^388+707335462*p ^37*q^390+60772838*p^35*q^392+3495900*p^33*q^394+85708*p^31*q^396+4512*p^29*q^ 398+8988*p^56*q^370+418174*p^54*q^372+4661236*p^52*q^374+54839553*p^50*q^376+ 545663682*p^48*q^378+4111819684*p^46*q^380+18994609188*p^44*q^382+32729980159*p ^42*q^384+13990161450*p^40*q^386+2208379080*p^38*q^388+236640060*p^36*q^390+ 15512720*p^34*q^392+658228*p^32*q^394+13928*p^30*q^396+768*p^28*q^398+192*p^57* q^368+64682*p^55*q^370+974074*p^53*q^372+16357346*p^51*q^374+162734916*p^49*q^ 376+1446218052*p^47*q^378+9121006443*p^45*q^380+28383763712*p^43*q^382+ 25831891843*p^41*q^384+6275369330*p^39*q^386+796354792*p^37*q^388+73137624*p^35 *q^390+3893356*p^33*q^392+104912*p^31*q^394+5063*p^29*q^396+8*p^27*q^398+20*p^ 58*q^366+3284*p^56*q^368+346978*p^54*q^370+3415822*p^52*q^372+46825480*p^50*q^ 374+469310671*p^48*q^376+3589586510*p^46*q^378+17427271903*p^44*q^380+ 32097487474*p^42*q^382+15039940396*p^40*q^384+2434730218*p^38*q^386+269172228*p ^36*q^388+17716170*p^34*q^390+918664*p^32*q^392+16686*p^30*q^394+500*p^28*q^396 +16*p^57*q^366+42012*p^55*q^368+885370*p^53*q^370+13997232*p^51*q^372+139237608 *p^49*q^374+1261934448*p^47*q^376+8108846164*p^45*q^378+26913252559*p^43*q^380+ 26319144638*p^41*q^382+6876723274*p^39*q^384+885012878*p^37*q^386+83336761*p^35 *q^388+4446678*p^33*q^390+107808*p^31*q^392+2662*p^29*q^394+90*p^27*q^396+2000* p^56*q^366+292136*p^54*q^368+2989220*p^52*q^370+41109992*p^50*q^372+402821030*p ^48*q^374+3168200871*p^46*q^376+15754586066*p^44*q^378+31502188783*p^42*q^380+ 15895321048*p^40*q^382+2717026511*p^38*q^384+303536504*p^36*q^386+22231788*p^34 *q^388+1156864*p^32*q^390+27540*p^30*q^392+1318*p^28*q^394+256*p^57*q^364+29548 *p^55*q^366+860046*p^53*q^368+10954848*p^51*q^370+118069531*p^49*q^372+ 1085752824*p^47*q^374+7196631573*p^45*q^376+25064548196*p^43*q^378+27048873075* p^41*q^380+7490801372*p^39*q^382+996154622*p^37*q^384+97180160*p^35*q^386+ 4990060*p^33*q^388+181910*p^31*q^390+2204*p^29*q^392+16*p^27*q^394+664*p^56*q^ 364+173450*p^54*q^366+2230770*p^52*q^368+35610748*p^50*q^370+344711161*p^48*q^ 372+2754319078*p^46*q^374+14394299792*p^44*q^376+30572551394*p^42*q^378+ 16923082566*p^40*q^380+2991541900*p^38*q^382+342261166*p^36*q^384+26107462*p^34 *q^386+1262320*p^32*q^388+15776*p^30*q^390+552*p^28*q^392+4*p^26*q^394+24*p^57* q^362+15472*p^55*q^364+859542*p^53*q^366+9357794*p^51*q^368+101346458*p^49*q^ 370+948190402*p^47*q^372+6376110044*p^45*q^374+23532366758*p^43*q^376+ 27225376876*p^41*q^378+8178098655*p^39*q^380+1100033282*p^37*q^382+110468972*p^ 35*q^384+5882496*p^33*q^386+283260*p^31*q^388+6696*p^29*q^390+201*p^27*q^392+ 1418*p^56*q^362+147696*p^54*q^364+1969486*p^52*q^366+30198069*p^50*q^368+ 295599560*p^48*q^370+2411056395*p^46*q^372+12916503958*p^44*q^374+29719776091*p ^42*q^376+17756544886*p^40*q^378+3326642664*p^38*q^380+387709228*p^36*q^382+ 32058582*p^34*q^384+1478632*p^32*q^386+24168*p^30*q^388+202*p^28*q^390+8376*p^ 55*q^362+633160*p^53*q^364+7332280*p^51*q^366+87135768*p^49*q^368+810766776*p^ 47*q^370+5650927353*p^45*q^372+21744893440*p^43*q^374+27682923647*p^41*q^376+ 8834775794*p^39*q^378+1234224706*p^37*q^380+125594664*p^35*q^382+7089902*p^33*q ^384+337410*p^31*q^386+4364*p^29*q^388+96*p^27*q^390+776*p^56*q^360+95112*p^54* q^362+1917606*p^52*q^364+25556896*p^50*q^366+251984993*p^48*q^368+2098170912*p^ 46*q^370+11692387005*p^44*q^372+28518313366*p^42*q^374+18739821204*p^40*q^376+ 3659087996*p^38*q^378+434154104*p^36*q^380+37297386*p^34*q^382+1605536*p^32*q^ 384+48768*p^30*q^386+912*p^28*q^388+14*p^26*q^390+5694*p^55*q^360+513792*p^53*q ^362+5688306*p^51*q^364+75063504*p^49*q^366+705016668*p^47*q^368+4970300936*p^ 45*q^370+20239006029*p^43*q^372+27604773104*p^41*q^374+9602175452*p^39*q^376+ 1361467958*p^37*q^378+143863068*p^35*q^380+8857060*p^33*q^382+399380*p^31*q^384 +1852*p^29*q^386+24*p^27*q^388+36*p^56*q^358+58480*p^54*q^360+1771218*p^52*q^ 362+21924613*p^50*q^364+215918576*p^48*q^366+1832539992*p^46*q^368+10463176368* p^44*q^370+27424683932*p^42*q^372+19444521038*p^40*q^374+4050206786*p^38*q^376+ 487546594*p^36*q^378+43115354*p^34*q^380+1806948*p^32*q^382+75772*p^30*q^384+ 1472*p^28*q^386+8*p^26*q^388+7218*p^55*q^358+411300*p^53*q^360+4713916*p^51*q^ 362+63984478*p^49*q^364+601985326*p^47*q^366+4384630777*p^45*q^368+18530087000* p^43*q^370+27697131265*p^41*q^372+10331576820*p^39*q^374+1529206844*p^37*q^376+ 163371728*p^35*q^378+11346028*p^33*q^380+478612*p^31*q^382+5520*p^29*q^384+40*p ^27*q^386+32*p^56*q^356+30618*p^54*q^358+1453866*p^52*q^360+17506754*p^50*q^362 +184110879*p^48*q^364+1582301060*p^46*q^366+9412814456*p^44*q^368+26072822350*p ^42*q^370+20355181919*p^40*q^372+4427990234*p^38*q^374+544736420*p^36*q^376+ 49955648*p^34*q^378+2004766*p^32*q^380+90456*p^30*q^382+60*p^28*q^384+2*p^26*q^ 386+1344*p^55*q^356+284744*p^53*q^358+4214488*p^51*q^360+55723492*p^49*q^362+ 521372486*p^47*q^364+3852914062*p^45*q^366+17131038192*p^43*q^368+27343213244*p ^41*q^370+11109369138*p^39*q^372+1689355648*p^37*q^374+184585522*p^35*q^376+ 13177962*p^33*q^378+518296*p^31*q^380+11332*p^29*q^382+296*p^27*q^384+36608*p^ 54*q^356+1276730*p^52*q^358+14397474*p^50*q^360+157758090*p^48*q^362+1380576799 *p^46*q^364+8358268090*p^44*q^366+24812977014*p^42*q^368+20900007070*p^40*q^370 +4902077204*p^38*q^372+606702090*p^36*q^374+58405368*p^34*q^376+2891936*p^32*q^ 378+119972*p^30*q^380+388*p^28*q^382+14*p^57*q^352+874*p^55*q^354+181126*p^53*q ^356+3703652*p^51*q^358+47062558*p^49*q^360+444221314*p^47*q^362+3376678229*p^ 45*q^364+15553566388*p^43*q^366+27162229049*p^41*q^368+11875026870*p^39*q^370+ 1884413033*p^37*q^372+210306974*p^35*q^374+15976184*p^33*q^376+483270*p^31*q^ 378+18900*p^29*q^380+16376*p^54*q^354+1006982*p^52*q^356+11177820*p^50*q^358+ 134779698*p^48*q^360+1187091090*p^46*q^362+7487432387*p^44*q^364+23351741464*p^ 42*q^366+21646910273*p^40*q^368+5333347958*p^38*q^370+679370217*p^36*q^372+ 65600566*p^34*q^374+3436384*p^32*q^376+146982*p^30*q^378+876*p^28*q^380+24*p^26 *q^382+96*p^55*q^352+146714*p^53*q^354+3282108*p^51*q^356+40725942*p^49*q^358+ 384349936*p^47*q^360+2959304846*p^45*q^362+14271932968*p^43*q^364+26488830700*p ^41*q^366+12707305637*p^39*q^368+2077078042*p^37*q^370+235584634*p^35*q^372+ 18871516*p^33*q^374+590284*p^31*q^376+21964*p^29*q^378+12*p^27*q^380+188*p^56*q ^350+8964*p^54*q^352+785508*p^52*q^354+9721462*p^50*q^356+115178176*p^48*q^358+ 1031012700*p^46*q^360+6613387304*p^44*q^362+22010502799*p^42*q^364+21992070644* p^40*q^366+5862743288*p^38*q^368+758086916*p^36*q^370+76587388*p^34*q^372+ 4517396*p^32*q^374+159750*p^30*q^376+3072*p^28*q^378+64*p^55*q^350+105428*p^53* q^352+2758466*p^51*q^354+32587874*p^49*q^356+326256758*p^47*q^358+2584891827*p^ 45*q^360+12876459264*p^43*q^362+26035619120*p^41*q^364+13449024928*p^39*q^366+ 2322646753*p^37*q^368+263961946*p^35*q^370+22097288*p^33*q^372+742208*p^31*q^ 374+30968*p^29*q^376+24*p^27*q^378+8*p^56*q^348+3270*p^54*q^350+562866*p^52*q^ 352+8206364*p^50*q^354+100139843*p^48*q^356+886908908*p^46*q^358+5889822479*p^ 44*q^360+20518723712*p^42*q^362+22530471638*p^40*q^364+6354321776*p^38*q^366+ 842978976*p^36*q^368+87198312*p^34*q^370+5417942*p^32*q^372+132286*p^30*q^374+ 3748*p^28*q^376+1034*p^55*q^348+58254*p^53*q^350+2402036*p^51*q^352+27031480*p^ 49*q^354+279588005*p^47*q^356+2248344884*p^45*q^358+11722131803*p^43*q^360+ 25146894108*p^41*q^362+14266093813*p^39*q^364+2554182768*p^37*q^366+297549665*p ^35*q^368+25355130*p^33*q^370+1027440*p^31*q^372+44938*p^29*q^374+264*p^27*q^ 376+1128*p^54*q^348+466688*p^52*q^350+7017218*p^50*q^352+85801616*p^48*q^354+ 769619107*p^46*q^356+5192171912*p^44*q^358+19176010559*p^42*q^360+22643576662*p ^40*q^362+6951529035*p^38*q^364+936328510*p^36*q^366+99151197*p^34*q^368+ 6673568*p^32*q^370+135704*p^30*q^372+4176*p^28*q^374+416*p^55*q^346+36788*p^53* q^348+1903000*p^51*q^350+22387854*p^49*q^352+238144324*p^47*q^354+1956048866*p^ 45*q^356+10492000396*p^43*q^358+24397926009*p^41*q^360+14964219356*p^39*q^362+ 2839375408*p^37*q^364+334219174*p^35*q^366+30354864*p^33*q^368+1386506*p^31*q^ 370+47366*p^29*q^372+696*p^27*q^374+3644*p^54*q^346+294880*p^52*q^348+5997558*p ^50*q^350+71595049*p^48*q^352+656153794*p^46*q^354+4596714258*p^44*q^356+ 17728862574*p^42*q^358+22972660778*p^40*q^360+7501796938*p^38*q^362+1048584210* p^36*q^364+111629998*p^34*q^366+7645262*p^32*q^368+168758*p^30*q^370+7424*p^28* q^372+8*p^26*q^374+8*p^55*q^344+12276*p^53*q^346+1580178*p^51*q^348+18491784*p^ 49*q^350+206342935*p^47*q^352+1703175906*p^45*q^354+9494495013*p^43*q^356+ 23332797586*p^41*q^358+15708989730*p^39*q^360+3107073652*p^37*q^362+369364982*p ^35*q^364+34554668*p^33*q^366+1741026*p^31*q^368+27954*p^29*q^370+296*p^27*q^ 372+3824*p^54*q^344+224294*p^52*q^346+5291348*p^50*q^348+61143048*p^48*q^350+ 567854586*p^46*q^352+4024900418*p^44*q^354+16426756141*p^42*q^356+22827194044*p ^40*q^358+8153597863*p^38*q^360+1167256372*p^36*q^362+128602356*p^34*q^364+ 9455570*p^32*q^366+295140*p^30*q^368+14580*p^28*q^370+84*p^26*q^372+8*p^55*q^ 342+15380*p^53*q^344+1193638*p^51*q^346+15378480*p^49*q^348+174380600*p^47*q^ 350+1472630775*p^45*q^352+8451627524*p^43*q^354+22398825688*p^41*q^356+ 16322965428*p^39*q^358+3451245211*p^37*q^360+412372962*p^35*q^362+40130958*p^33 *q^364+2121962*p^31*q^366+19968*p^29*q^368+660*p^27*q^370+552*p^54*q^342+104718 *p^52*q^344+4357918*p^50*q^346+49967121*p^48*q^348+484390642*p^46*q^350+ 3550163248*p^44*q^352+15044362512*p^42*q^354+22901220366*p^40*q^356+8737551846* p^38*q^358+1300019551*p^36*q^360+143436206*p^34*q^362+10999072*p^32*q^364+ 376442*p^30*q^366+9148*p^28*q^368+8*p^26*q^370+16566*p^53*q^342+937270*p^51*q^ 344+13304852*p^49*q^346+152022728*p^47*q^348+1276566078*p^45*q^350+7610420150*p ^43*q^352+21207315060*p^41*q^354+16974368315*p^39*q^356+3761914870*p^37*q^358+ 460022698*p^35*q^360+45775478*p^33*q^362+2519934*p^31*q^364+45640*p^29*q^366+ 2460*p^27*q^368+4*p^25*q^370+388*p^54*q^340+81612*p^52*q^342+3727470*p^50*q^344 +41642398*p^48*q^346+414669386*p^46*q^348+3094908610*p^44*q^350+13811485990*p^ 42*q^352+22485245820*p^40*q^354+9426556821*p^38*q^356+1444970740*p^36*q^358+ 162423972*p^34*q^360+13230210*p^32*q^362+544224*p^30*q^364+2692*p^28*q^366+28*p ^26*q^368+7684*p^53*q^340+610086*p^51*q^342+11182238*p^49*q^344+127989120*p^47* q^346+1105580358*p^45*q^348+6732814316*p^43*q^350+20191037203*p^41*q^352+ 17453526514*p^39*q^354+4162786004*p^37*q^356+513970978*p^35*q^358+52898340*p^33 *q^360+3124970*p^31*q^362+62566*p^29*q^364+2932*p^27*q^366+3*p^56*q^336+60*p^54 *q^338+62826*p^52*q^340+3030158*p^50*q^342+34491474*p^48*q^344+354717106*p^46*q ^346+2711868518*p^44*q^348+12558986416*p^42*q^350+22280185882*p^40*q^352+ 10016269536*p^38*q^354+1603851186*p^36*q^356+178827442*p^34*q^358+15457846*p^32 *q^360+601032*p^30*q^362+4404*p^28*q^364+196*p^26*q^366+4368*p^53*q^338+401818* p^51*q^340+9532372*p^49*q^342+108507334*p^47*q^344+951912204*p^45*q^346+ 6018007109*p^43*q^348+18918775762*p^41*q^350+18005387817*p^39*q^352+4529485010* p^37*q^354+577016287*p^35*q^356+60818906*p^33*q^358+3739699*p^31*q^360+113550*p ^29*q^362+548*p^27*q^364+45336*p^52*q^338+2426264*p^50*q^340+29323864*p^48*q^ 342+306688156*p^46*q^344+2360000172*p^44*q^346+11462058763*p^42*q^348+ 21662343450*p^40*q^350+10701265377*p^38*q^352+1769439278*p^36*q^354+198711882*p ^34*q^356+17725138*p^32*q^358+780516*p^30*q^360+7500*p^28*q^362+556*p^26*q^364+ 42*p^55*q^334+1838*p^53*q^336+309552*p^51*q^338+8172442*p^49*q^340+89934146*p^ 47*q^342+817455168*p^45*q^344+5298275850*p^43*q^346+17776896057*p^41*q^348+ 18280622314*p^39*q^350+4995301405*p^37*q^352+646590864*p^35*q^354+70317438*p^33 *q^356+4810818*p^31*q^358+145176*p^29*q^360+364*p^27*q^362+8*p^25*q^364+8*p^54* q^334+29400*p^52*q^336+1669402*p^50*q^338+24058545*p^48*q^340+261116762*p^46*q^ 342+2061406483*p^44*q^344+10333439782*p^42*q^346+21263058697*p^40*q^348+ 11304561020*p^38*q^350+1964592484*p^36*q^352+221047200*p^34*q^354+20568820*p^32 *q^356+873350*p^30*q^358+15220*p^28*q^360+96*p^26*q^362+104*p^53*q^334+189978*p ^51*q^336+7042208*p^49*q^338+76378859*p^47*q^340+703005644*p^45*q^342+ 4713009362*p^43*q^344+16546974132*p^41*q^346+18602209950*p^39*q^348+5391143452* p^37*q^350+720479315*p^35*q^352+76803984*p^33*q^354+5501898*p^31*q^356+172448*p ^29*q^358+552*p^27*q^360+44*p^25*q^362+237*p^54*q^332+19672*p^52*q^334+1370696* p^50*q^336+20512270*p^48*q^338+223574336*p^46*q^340+1787931320*p^44*q^342+ 9357628634*p^42*q^344+20417841420*p^40*q^346+11983017277*p^38*q^348+2171520554* p^36*q^350+249719775*p^34*q^352+25102152*p^32*q^354+1257082*p^30*q^356+32704*p^ 28*q^358+48*p^26*q^360+388*p^53*q^332+149114*p^51*q^334+5526756*p^49*q^336+ 63280232*p^47*q^338+603356818*p^45*q^340+4114365296*p^43*q^342+15420492980*p^41 *q^344+18719026554*p^39*q^346+5900625416*p^37*q^348+800173518*p^35*q^350+ 86443400*p^33*q^352+6424088*p^31*q^354+186436*p^29*q^356+968*p^27*q^358+8*p^25* q^360+72*p^54*q^330+4332*p^52*q^332+854002*p^50*q^334+17488509*p^48*q^336+ 187968970*p^46*q^338+1550597330*p^44*q^340+8397925072*p^42*q^342+19812459587*p^ 40*q^344+12521727090*p^38*q^346+2405996930*p^36*q^348+279892468*p^34*q^350+ 28640652*p^32*q^352+1509968*p^30*q^354+33480*p^28*q^356+12*p^26*q^358+718*p^53* q^330+111720*p^51*q^332+4620668*p^49*q^334+53124086*p^47*q^336+520456388*p^45*q ^338+3653542279*p^43*q^340+14181348720*p^41*q^342+18870803511*p^39*q^344+ 6341738734*p^37*q^346+891252092*p^35*q^348+93947090*p^33*q^350+7751548*p^31*q^ 352+253300*p^29*q^354+5076*p^27*q^356+4*p^25*q^358+4732*p^52*q^330+642698*p^50* q^332+14812130*p^48*q^334+160293712*p^46*q^336+1337503250*p^44*q^338+7535371265 *p^42*q^340+18849821502*p^40*q^342+13137569129*p^38*q^344+2648795502*p^36*q^346 +315565407*p^34*q^348+33509006*p^32*q^350+1859296*p^30*q^352+44966*p^28*q^354+ 20*p^26*q^356+788*p^53*q^328+54384*p^51*q^330+3476794*p^49*q^332+43822214*p^47* q^334+443859117*p^45*q^336+3176160302*p^43*q^338+13123445861*p^41*q^340+ 18724828358*p^39*q^342+6903686959*p^37*q^344+988050902*p^35*q^346+106121130*p^ 33*q^348+9242928*p^31*q^350+351554*p^29*q^352+5678*p^27*q^354+2397*p^52*q^328+ 477522*p^50*q^330+12536604*p^48*q^332+134768676*p^46*q^334+1159429246*p^44*q^ 336+6719700754*p^42*q^338+18079507501*p^40*q^340+13599101888*p^38*q^342+ 2927127351*p^36*q^344+351426082*p^34*q^346+36784584*p^32*q^348+2228004*p^30*q^ 350+38642*p^28*q^352+384*p^26*q^354+84*p^53*q^326+33756*p^51*q^328+2519218*p^49 *q^330+37133944*p^47*q^332+379068414*p^45*q^334+2796381213*p^43*q^336+ 11974364178*p^41*q^338+18680170608*p^39*q^340+7367333902*p^37*q^342+1100181930* p^35*q^344+118612854*p^33*q^346+11455012*p^31*q^348+426952*p^29*q^350+9962*p^27 *q^352+3500*p^52*q^326+328820*p^50*q^328+10645898*p^48*q^330+113493872*p^46*q^ 332+997777764*p^44*q^334+6004826398*p^42*q^336+17038628360*p^40*q^338+ 14117598950*p^38*q^340+3201741298*p^36*q^342+395650038*p^34*q^344+40448782*p^32 *q^346+2601856*p^30*q^348+68632*p^28*q^350+852*p^26*q^352+68*p^53*q^324+20340*p ^51*q^326+1906512*p^49*q^328+31181550*p^47*q^330+322848064*p^45*q^332+ 2425466612*p^43*q^334+10966222521*p^41*q^336+18321750308*p^39*q^338+7947782819* p^37*q^340+1223842506*p^35*q^342+133576795*p^33*q^344+13751440*p^31*q^346+ 608796*p^29*q^348+7228*p^27*q^350+8*p^25*q^352+1568*p^52*q^324+201590*p^50*q^ 326+8334912*p^48*q^328+93621480*p^46*q^330+859711306*p^44*q^332+5302816830*p^42 *q^334+16173280927*p^40*q^336+14478494950*p^38*q^338+3532483489*p^36*q^340+ 437210290*p^34*q^342+45338046*p^32*q^344+3166582*p^30*q^346+71918*p^28*q^348+ 1276*p^26*q^350+11240*p^51*q^324+1364950*p^49*q^326+26742082*p^47*q^328+ 276743064*p^45*q^330+2125280879*p^43*q^332+9961051476*p^41*q^334+18080688268*p^ 39*q^336+8408291456*p^37*q^338+1355137728*p^35*q^340+150434336*p^33*q^342+ 15185674*p^31*q^344+687484*p^29*q^346+9558*p^27*q^348+92*p^25*q^350+1012*p^52*q ^322+145120*p^50*q^324+6765524*p^48*q^326+79578587*p^46*q^328+736106968*p^44*q^ 330+4718233768*p^42*q^332+15059207000*p^40*q^334+14838291600*p^38*q^336+ 3853838796*p^36*q^338+491542643*p^34*q^340+49745690*p^32*q^342+4342164*p^30*q^ 344+131708*p^28*q^346+2064*p^26*q^348+11280*p^51*q^322+979636*p^49*q^324+ 22296380*p^47*q^326+231502384*p^45*q^328+1833715964*p^43*q^330+9028620943*p^41* q^332+17562499030*p^39*q^334+9020785053*p^37*q^336+1501132052*p^35*q^338+ 170729639*p^33*q^340+17843796*p^31*q^342+774974*p^29*q^344+10760*p^27*q^346+56* p^25*q^348+150*p^52*q^320+63154*p^50*q^322+4916088*p^48*q^324+65554982*p^46*q^ 326+633370732*p^44*q^328+4146287012*p^42*q^330+14185665584*p^40*q^332+ 15037999320*p^38*q^334+4213511698*p^36*q^336+543274802*p^34*q^338+55228444*p^32 *q^340+4925768*p^30*q^342+165006*p^28*q^344+738*p^26*q^346+4*p^24*q^348+7682*p^ 51*q^320+718706*p^49*q^322+19350068*p^47*q^324+197572874*p^45*q^326+1602284634* p^43*q^328+8134554756*p^41*q^330+17103475188*p^39*q^332+9458543398*p^37*q^334+ 1670139493*p^35*q^336+190142666*p^33*q^338+19255077*p^31*q^340+1085298*p^29*q^ 342+18616*p^27*q^344+400*p^25*q^346+8*p^52*q^318+56144*p^50*q^320+3807686*p^48* q^322+55215786*p^46*q^324+539575532*p^44*q^326+3661527424*p^42*q^328+ 13083444834*p^40*q^330+15277417965*p^38*q^332+4574460102*p^36*q^334+609076193*p ^34*q^336+62747612*p^32*q^338+6400000*p^30*q^340+191882*p^28*q^342+1584*p^26*q^ 344+3056*p^51*q^318+426252*p^49*q^320+15313950*p^47*q^322+165076466*p^45*q^324+ 1375980524*p^43*q^326+7331970093*p^41*q^328+16425018890*p^39*q^330+10018945817* p^37*q^332+1843378198*p^35*q^334+213951589*p^33*q^336+21145792*p^31*q^338+ 1307920*p^29*q^340+32096*p^27*q^342+22*p^25*q^344+68*p^52*q^316+40494*p^50*q^ 318+2829519*p^48*q^320+46998020*p^46*q^322+461831668*p^44*q^324+3200221236*p^42 *q^326+12198492103*p^40*q^328+15288406348*p^38*q^330+4989718936*p^36*q^332+ 672052982*p^34*q^334+71136744*p^32*q^336+7270850*p^30*q^338+235294*p^28*q^340+ 1516*p^26*q^342+32*p^24*q^344+384*p^51*q^316+277772*p^49*q^318+12319308*p^47*q^ 320+137706398*p^45*q^322+1193118590*p^43*q^324+6556511304*p^41*q^326+ 15842764176*p^39*q^328+10424350128*p^37*q^330+2040235919*p^35*q^332+238864206*p ^33*q^334+23048858*p^31*q^336+1776506*p^29*q^338+39128*p^27*q^340+164*p^25*q^ 342+4*p^52*q^314+26516*p^50*q^316+2055284*p^48*q^318+40322006*p^46*q^320+ 394412732*p^44*q^322+2819082468*p^42*q^324+11155759082*p^40*q^326+15362691534*p ^38*q^328+5361472730*p^36*q^330+751809050*p^34*q^332+80163026*p^32*q^334+ 8254398*p^30*q^336+285418*p^28*q^338+4634*p^26*q^340+1044*p^51*q^314+200598*p^ 49*q^316+9609250*p^47*q^318+114919484*p^45*q^320+1019547778*p^43*q^322+ 5852953674*p^41*q^324+15042252610*p^39*q^326+10920875353*p^37*q^328+2251973272* p^35*q^330+268589155*p^33*q^332+25891516*p^31*q^334+2411382*p^29*q^336+57756*p^ 27*q^338+74*p^25*q^340+22*p^52*q^312+8464*p^50*q^314+1350360*p^48*q^316+ 33182722*p^46*q^318+332579246*p^44*q^320+2449488228*p^42*q^322+10305555197*p^40 *q^324+15209152040*p^38*q^326+5824263566*p^36*q^328+831248350*p^34*q^330+ 90363456*p^32*q^332+9044754*p^30*q^334+354240*p^28*q^336+4882*p^26*q^338+8*p^24 *q^340+152*p^51*q^312+138740*p^49*q^314+7406874*p^47*q^316+97348330*p^45*q^318+ 885993301*p^43*q^320+5204560358*p^41*q^322+14350499846*p^39*q^324+11239779308*p ^37*q^326+2477189065*p^35*q^328+295400696*p^33*q^330+28767968*p^31*q^332+ 2769510*p^29*q^334+54548*p^27*q^336+428*p^25*q^338+7688*p^50*q^312+996160*p^48* q^314+27995436*p^46*q^316+281719294*p^44*q^318+2137230139*p^42*q^320+9354571684 *p^40*q^322+15082477069*p^38*q^324+6212367704*p^36*q^326+933444894*p^34*q^328+ 103260836*p^32*q^330+9951190*p^30*q^332+629208*p^28*q^334+13312*p^26*q^336+4*p^ 24*q^338+386*p^51*q^310+80062*p^49*q^312+5492680*p^47*q^314+81618710*p^45*q^316 +750650972*p^43*q^318+4629254157*p^41*q^320+13469207670*p^39*q^322+11662201197* p^37*q^324+2723864762*p^35*q^326+330999814*p^33*q^328+32587762*p^31*q^330+ 3405836*p^29*q^332+49436*p^27*q^334+340*p^25*q^336+3012*p^50*q^310+620962*p^48* q^312+22092596*p^46*q^314+235596531*p^44*q^316+1853999320*p^42*q^318+8548014621 *p^40*q^320+14792826610*p^38*q^322+6671861073*p^36*q^324+1031049990*p^34*q^326+ 115458286*p^32*q^328+10717960*p^30*q^330+749200*p^28*q^332+11938*p^26*q^334+20* p^24*q^336+12*p^51*q^308+46396*p^49*q^310+4152662*p^47*q^312+69842624*p^45*q^ 314+649151584*p^43*q^316+4079088892*p^41*q^318+12749961334*p^39*q^320+ 11855910906*p^37*q^322+2990139748*p^35*q^324+364131242*p^33*q^326+37091353*p^31 *q^328+3750302*p^29*q^330+114324*p^27*q^332+1748*p^25*q^334+3184*p^50*q^308+ 460978*p^48*q^310+17906619*p^46*q^312+198130048*p^44*q^314+1608832173*p^42*q^ 316+7700468346*p^40*q^318+14478422876*p^38*q^320+7068405276*p^36*q^322+ 1155209077*p^34*q^324+130231444*p^32*q^326+11803758*p^30*q^328+1052938*p^28*q^ 330+4900*p^26*q^332+14*p^24*q^334+44*p^51*q^306+29663*p^49*q^308+2799848*p^47*q ^310+58093264*p^45*q^312+548220014*p^43*q^314+3603680611*p^41*q^316+11837507408 *p^39*q^318+12188322121*p^37*q^320+3266330180*p^35*q^322+408468246*p^33*q^324+ 42200902*p^31*q^326+4339168*p^29*q^328+163604*p^27*q^330+3092*p^25*q^332+1004*p ^50*q^306+274152*p^48*q^308+13962454*p^46*q^310+166876624*p^44*q^312+1385899790 *p^42*q^314+6986435354*p^40*q^316+14021315520*p^38*q^318+7518952307*p^36*q^320+ 1270338502*p^34*q^322+144355482*p^32*q^324+13122402*p^30*q^326+1196034*p^28*q^ 328+12220*p^26*q^330+80*p^24*q^332+18728*p^49*q^306+2009276*p^47*q^308+48289482 *p^45*q^310+467851495*p^43*q^312+3162243438*p^41*q^314+11077749014*p^39*q^316+ 12258889076*p^37*q^318+3574858003*p^35*q^320+455858980*p^33*q^322+48327855*p^31 *q^324+4569538*p^29*q^326+250972*p^27*q^328+300*p^25*q^330+560*p^50*q^304+ 181866*p^48*q^306+10783878*p^46*q^308+140878272*p^44*q^310+1200712802*p^42*q^ 312+6242369170*p^40*q^314+13601605673*p^38*q^316+7877513978*p^36*q^318+ 1417543011*p^34*q^320+158264154*p^32*q^322+14677230*p^30*q^324+1523674*p^28*q^ 326+27104*p^26*q^328+542*p^24*q^330+14088*p^49*q^304+1432962*p^47*q^306+ 39610385*p^45*q^308+393572402*p^43*q^310+2771943770*p^41*q^312+10192456270*p^39 *q^314+12419507096*p^37*q^316+3876488818*p^35*q^318+512323507*p^33*q^320+ 55986136*p^31*q^322+5065672*p^29*q^324+322424*p^27*q^326+536*p^25*q^328+124*p^ 50*q^302+107259*p^48*q^304+7686640*p^46*q^306+118320387*p^44*q^308+1025290412*p ^42*q^310+5616226543*p^40*q^312+13023007420*p^38*q^314+8323134295*p^36*q^316+ 1562939334*p^34*q^318+175996674*p^32*q^320+16379428*p^30*q^322+1780352*p^28*q^ 324+42636*p^26*q^326+8*p^51*q^300+4254*p^49*q^302+898534*p^47*q^304+32505020*p^ 45*q^306+333868561*p^43*q^308+2421923466*p^41*q^310+9456377994*p^39*q^312+ 12365075662*p^37*q^314+4204045672*p^35*q^316+565811642*p^33*q^318+62359780*p^31 *q^320+5363440*p^29*q^322+381474*p^27*q^324+2886*p^25*q^326+40*p^23*q^328+97716 *p^48*q^302+5950922*p^46*q^304+99673374*p^44*q^306+885082081*p^42*q^308+ 4982449266*p^40*q^310+12465568488*p^38*q^312+8621982814*p^36*q^314+1736667618*p ^34*q^316+197172628*p^32*q^318+19267547*p^30*q^320+2014844*p^28*q^322+78884*p^ 26*q^324+8*p^51*q^298+3202*p^49*q^300+592166*p^47*q^302+25354620*p^45*q^304+ 279108568*p^43*q^306+2104147115*p^41*q^308+8612337410*p^39*q^310+12398159267*p^ 37*q^312+4535191292*p^35*q^314+637950664*p^33*q^316+69220056*p^31*q^318+5929922 *p^29*q^320+559304*p^27*q^322+4288*p^25*q^324+104*p^50*q^298+37974*p^48*q^300+ 4006952*p^46*q^302+82976116*p^44*q^304+752042194*p^42*q^306+4456818554*p^40*q^ 308+11824042024*p^38*q^310+9001581967*p^36*q^312+1904237598*p^34*q^314+ 219250128*p^32*q^316+22386760*p^30*q^318+2123748*p^28*q^320+67424*p^26*q^322+ 144*p^24*q^324+364*p^49*q^298+463998*p^47*q^300+19998050*p^45*q^302+238425237*p ^43*q^304+1829736112*p^41*q^306+7909214670*p^39*q^308+12180237716*p^37*q^310+ 4884792009*p^35*q^312+705147702*p^33*q^314+76097050*p^31*q^316+6257922*p^29*q^ 318+701090*p^27*q^320+15718*p^25*q^322+128*p^50*q^296+29000*p^48*q^298+2805085* p^46*q^300+68960666*p^44*q^302+640135263*p^42*q^304+3920203654*p^40*q^306+ 11204916088*p^38*q^308+9243601516*p^36*q^310+2111908141*p^34*q^312+245877252*p^ 32*q^314+26511566*p^30*q^316+2432884*p^28*q^318+122788*p^26*q^320+188*p^24*q^ 322+752*p^49*q^296+282402*p^47*q^298+15118219*p^45*q^300+198417226*p^43*q^302+ 1585954987*p^41*q^304+7150256326*p^39*q^306+12061406040*p^37*q^308+5210781520*p ^35*q^310+790744418*p^33*q^312+84408328*p^31*q^314+6993658*p^29*q^316+795480*p^ 27*q^318+11612*p^25*q^320+32*p^50*q^294+10204*p^48*q^296+1976670*p^46*q^298+ 56425930*p^44*q^300+542584398*p^42*q^302+3477703695*p^40*q^304+10489964050*p^38 *q^306+9543158048*p^36*q^308+2309251198*p^34*q^310+275561642*p^32*q^312+ 29438310*p^30*q^314+2534080*p^28*q^316+181122*p^26*q^318+1860*p^24*q^320+1020*p ^49*q^294+172878*p^47*q^296+11070604*p^45*q^298+167849680*p^43*q^300+1366413208 *p^41*q^302+6509887716*p^39*q^304+11735045016*p^37*q^306+5574755503*p^35*q^308+ 872179044*p^33*q^310+93702386*p^31*q^312+8493010*p^29*q^314+907268*p^27*q^316+ 16840*p^25*q^318+5540*p^48*q^294+1446370*p^46*q^296+45946588*p^44*q^298+ 462595681*p^42*q^300+3043774704*p^40*q^302+9853418942*p^38*q^304+9666735272*p^ 36*q^306+2537405784*p^34*q^308+309135342*p^32*q^310+32946326*p^30*q^312+2398410 *p^28*q^314+246008*p^26*q^316+2692*p^24*q^318+592*p^49*q^292+107934*p^47*q^294+ 8032518*p^45*q^296+139278568*p^43*q^298+1172655230*p^41*q^300+5828049476*p^39*q ^302+11465068990*p^37*q^304+5898744420*p^35*q^306+981670695*p^33*q^308+ 103977458*p^31*q^310+10440101*p^29*q^312+1160404*p^27*q^314+32296*p^25*q^316+80 *p^23*q^318+5976*p^48*q^292+898528*p^46*q^294+35837936*p^44*q^296+388687258*p^ 42*q^298+2680514093*p^40*q^300+9134189916*p^38*q^302+9892057882*p^36*q^304+ 2761297934*p^34*q^306+343244965*p^32*q^308+36622948*p^30*q^310+2483727*p^28*q^ 312+268352*p^26*q^314+1068*p^24*q^316+48*p^49*q^290+46194*p^47*q^292+5852288*p^ 45*q^294+117750702*p^43*q^296+1006795074*p^41*q^298+5267030706*p^39*q^300+ 11028741246*p^37*q^302+6239299524*p^35*q^304+1077602910*p^33*q^306+117011381*p^ 31*q^308+11782746*p^29*q^310+1096022*p^27*q^312+53504*p^25*q^314+492*p^23*q^316 +4790*p^48*q^290+661924*p^46*q^292+28050672*p^44*q^294+329109639*p^42*q^296+ 2333035096*p^40*q^298+8470363034*p^38*q^300+9896643570*p^36*q^302+3025799917*p^ 34*q^304+386475006*p^32*q^306+40223248*p^30*q^308+3083546*p^28*q^310+413988*p^ 26*q^312+3956*p^24*q^314+30*p^49*q^288+37732*p^47*q^290+4095491*p^45*q^292+ 96106388*p^43*q^294+859690936*p^41*q^296+4669864686*p^39*q^298+10663597807*p^37 *q^300+6541478186*p^35*q^302+1204116867*p^33*q^304+130496866*p^31*q^306+ 13987824*p^29*q^308+1042754*p^27*q^310+68660*p^25*q^312+8*p^23*q^314+1688*p^48* q^288+346096*p^46*q^290+20824066*p^44*q^292+275157432*p^42*q^294+2036587692*p^ 40*q^296+7794050802*p^38*q^298+9984200082*p^36*q^300+3264031580*p^34*q^302+ 432617022*p^32*q^304+44116320*p^30*q^306+3556838*p^28*q^308+468900*p^26*q^310+ 6612*p^24*q^312+40*p^22*q^314+25224*p^47*q^288+3006632*p^45*q^290+79957315*p^43 *q^292+735597618*p^41*q^294+4191530913*p^39*q^296+10130200834*p^37*q^298+ 6854030246*p^35*q^300+1324840188*p^33*q^302+145791056*p^31*q^304+15576320*p^29* q^306+959147*p^27*q^308+98064*p^25*q^310+272*p^23*q^312+644*p^48*q^286+242382*p ^46*q^288+15696944*p^44*q^290+231787019*p^42*q^292+1754571904*p^40*q^294+ 7156402501*p^38*q^296+9885780976*p^36*q^298+3546811243*p^34*q^300+481617062*p^ 32*q^302+49530036*p^30*q^304+4518094*p^28*q^306+533758*p^26*q^308+15012*p^24*q^ 310+17562*p^47*q^286+1934258*p^45*q^288+63177610*p^43*q^290+622919194*p^41*q^ 292+3697255780*p^39*q^294+9680266504*p^37*q^296+7105312392*p^35*q^298+ 1474766707*p^33*q^300+165046266*p^31*q^302+17346413*p^29*q^304+992074*p^27*q^ 306+143496*p^25*q^308+336*p^23*q^310+6*p^50*q^282+124*p^48*q^284+136498*p^46*q^ 286+11578684*p^44*q^288+193926382*p^42*q^290+1525158707*p^40*q^292+6499351254*p ^38*q^294+9867275786*p^36*q^296+3796820464*p^34*q^298+537135352*p^32*q^300+ 53907552*p^30*q^302+5447518*p^28*q^304+484076*p^26*q^306+16566*p^24*q^308+4*p^ 22*q^310+7790*p^47*q^284+1314238*p^45*q^286+49972066*p^43*q^288+527214768*p^41* q^290+3282410905*p^39*q^292+9112388078*p^37*q^294+7357768289*p^35*q^296+ 1618978762*p^33*q^298+185794838*p^31*q^300+19157470*p^29*q^302+1153556*p^27*q^ 304+194540*p^25*q^306+1960*p^23*q^308+20*p^48*q^282+103666*p^46*q^284+8360864*p ^44*q^286+163255520*p^42*q^288+1312124146*p^40*q^290+5926158663*p^38*q^292+ 9630209446*p^36*q^294+4100577547*p^34*q^296+595450288*p^32*q^298+60684824*p^30* q^300+6291886*p^28*q^302+393966*p^26*q^304+29604*p^24*q^306+90*p^49*q^280+3670* p^47*q^282+840253*p^45*q^284+38683238*p^43*q^286+443648970*p^41*q^288+ 2863221390*p^39*q^290+8596636998*p^37*q^292+7540277552*p^35*q^294+1791008647*p^ 33*q^296+209249128*p^31*q^298+21212955*p^29*q^300+1577632*p^27*q^302+249577*p^ 25*q^304+3038*p^23*q^306+39*p^48*q^280+63198*p^46*q^282+5792332*p^44*q^284+ 132314154*p^42*q^286+1129335997*p^40*q^288+5346680112*p^38*q^290+9500811057*p^ 36*q^292+4353583116*p^34*q^294+668331037*p^32*q^296+67647548*p^30*q^298+7229540 *p^28*q^300+334100*p^26*q^302+42158*p^24*q^304+80*p^22*q^306+660*p^47*q^280+ 506558*p^45*q^282+29669462*p^43*q^284+376783488*p^41*q^286+2531247763*p^39*q^ 288+7995412976*p^37*q^290+7727995942*p^35*q^292+1951004750*p^33*q^294+231842604 *p^31*q^296+22748296*p^29*q^298+1885690*p^27*q^300+207596*p^25*q^302+3676*p^23* q^304+562*p^48*q^278+39520*p^46*q^280+4285732*p^44*q^282+109435156*p^42*q^284+ 961622476*p^40*q^286+4817251353*p^38*q^288+9179867072*p^36*q^290+4641687080*p^ 34*q^292+742394266*p^32*q^294+78032032*p^30*q^296+8293672*p^28*q^298+379380*p^ 26*q^300+86552*p^24*q^302+536*p^22*q^304+894*p^47*q^278+373094*p^45*q^280+ 21617328*p^43*q^282+314287532*p^41*q^284+2192729308*p^39*q^286+7465554830*p^37* q^288+7810364466*p^35*q^290+2156735192*p^33*q^292+260719544*p^31*q^294+24890228 *p^29*q^296+2362798*p^27*q^298+195492*p^25*q^300+5052*p^23*q^302+148*p^48*q^276 +12486*p^46*q^278+2541502*p^44*q^280+87311452*p^42*q^282+822609189*p^40*q^284+ 4306337346*p^38*q^286+8948150748*p^36*q^288+4893700804*p^34*q^290+825670054*p^ 32*q^292+86691294*p^30*q^294+9253228*p^28*q^296+457996*p^26*q^298+84096*p^24*q^ 300+216*p^22*q^302+1964*p^47*q^276+253314*p^45*q^278+16714577*p^43*q^280+ 264465378*p^41*q^282+1922473088*p^39*q^284+6877779202*p^37*q^286+7903503289*p^ 35*q^288+2328947830*p^33*q^290+290023796*p^31*q^292+27624804*p^29*q^294+2739229 *p^27*q^296+133684*p^25*q^298+18476*p^23*q^300+44*p^21*q^302+9576*p^46*q^276+ 1836638*p^44*q^278+68598208*p^42*q^280+695960840*p^40*q^282+3845815400*p^38*q^ 284+8527955830*p^36*q^286+5172334382*p^34*q^288+919452380*p^32*q^290+99760406*p ^30*q^292+9948654*p^28*q^294+629001*p^26*q^296+104374*p^24*q^298+296*p^22*q^300 +1790*p^47*q^274+132254*p^45*q^276+11529440*p^43*q^278+220069156*p^41*q^280+ 1655763728*p^39*q^282+6353043331*p^37*q^284+7913984206*p^35*q^286+2551735532*p^ 33*q^288+323003830*p^31*q^290+30723852*p^29*q^292+3418846*p^27*q^294+110488*p^ 25*q^296+23340*p^23*q^298+7048*p^46*q^274+1247288*p^44*q^276+53306496*p^42*q^ 278+591023043*p^40*q^280+3401957416*p^38*q^282+8208757123*p^36*q^284+5372499844 *p^34*q^286+1022577140*p^32*q^288+111066348*p^30*q^290+10706982*p^28*q^292+ 740568*p^26*q^294+95042*p^24*q^296+2080*p^22*q^298+156*p^47*q^272+72574*p^45*q^ 274+8021522*p^43*q^276+181237546*p^41*q^278+1436805107*p^39*q^280+5798869730*p^ 37*q^282+7919603874*p^35*q^284+2750247812*p^33*q^286+361992801*p^31*q^288+ 34838538*p^29*q^290+3974470*p^27*q^292+131848*p^25*q^294+30822*p^23*q^296+9176* p^46*q^272+855190*p^44*q^274+41557929*p^42*q^276+498595598*p^40*q^278+ 3022749793*p^38*q^280+7735663220*p^36*q^282+5608982150*p^34*q^284+1126265088*p^ 32*q^286+124506764*p^30*q^288+11299500*p^28*q^290+944844*p^26*q^292+54852*p^24* q^294+4960*p^22*q^296+142*p^47*q^270+50349*p^45*q^272+5604896*p^43*q^274+ 146804057*p^41*q^276+1225335662*p^39*q^278+5288845697*p^37*q^280+7807743786*p^ 35*q^282+2988917732*p^33*q^284+406230844*p^31*q^286+40935020*p^29*q^288+4455436 *p^27*q^290+178243*p^25*q^292+50742*p^23*q^294+88*p^21*q^296+3464*p^46*q^270+ 478985*p^44*q^272+30168168*p^42*q^274+420125502*p^40*q^276+2651208590*p^38*q^ 278+7371116925*p^36*q^280+5787919542*p^34*q^282+1250205412*p^32*q^284+137682128 *p^30*q^286+11889680*p^28*q^288+1280576*p^26*q^290+32972*p^24*q^292+4248*p^22*q ^294+6*p^47*q^268+32852*p^45*q^270+3950014*p^43*q^272+118980112*p^41*q^274+ 1059021227*p^39*q^276+4782310026*p^37*q^278+7723536175*p^35*q^280+3173723606*p^ 33*q^282+452271782*p^31*q^284+46194830*p^29*q^286+4755772*p^27*q^288+189806*p^ 25*q^290+37998*p^23*q^292+728*p^21*q^294+2062*p^46*q^268+340192*p^44*q^270+ 22445408*p^42*q^272+352358060*p^40*q^274+2326908773*p^38*q^276+6862995762*p^36* q^278+5964689597*p^34*q^280+1380118698*p^32*q^282+155280140*p^30*q^284+13451646 *p^28*q^286+1628876*p^26*q^288+39230*p^24*q^290+14968*p^22*q^292+24*p^47*q^266+ 28216*p^45*q^268+2631362*p^43*q^270+93774184*p^41*q^272+892987388*p^39*q^274+ 4322712628*p^37*q^276+7524631948*p^35*q^278+3428156917*p^33*q^280+504722900*p^ 31*q^282+52717456*p^29*q^284+4941452*p^27*q^286+292864*p^25*q^288+24790*p^23*q^ 290+180*p^21*q^292+426*p^46*q^266+172006*p^44*q^268+15645756*p^42*q^270+ 292326863*p^40*q^272+2029349996*p^38*q^274+6457167323*p^36*q^276+6075146688*p^ 34*q^278+1517285960*p^32*q^280+172430338*p^30*q^282+15466816*p^28*q^284+1858366 *p^26*q^286+31466*p^24*q^288+16904*p^22*q^290+48*p^20*q^292+15946*p^45*q^266+ 1782082*p^43*q^268+73795260*p^41*q^270+769271835*p^39*q^272+3869683152*p^37*q^ 274+7345498067*p^35*q^276+3613011754*p^33*q^278+567302652*p^31*q^280+58251018*p ^29*q^282+4864058*p^27*q^284+442786*p^25*q^286+10223*p^23*q^288+2242*p^21*q^290 +312*p^46*q^264+146664*p^44*q^266+11513743*p^42*q^268+240670896*p^40*q^270+ 1762331333*p^38*q^272+5948985746*p^36*q^274+6191098502*p^34*q^276+1659480716*p^ 32*q^278+192432717*p^30*q^280+18613332*p^28*q^282+2157758*p^26*q^284+46418*p^24 *q^286+17560*p^22*q^288+8*p^47*q^262+7732*p^45*q^264+1109402*p^43*q^266+ 54861184*p^41*q^268+645645654*p^39*q^270+3465024677*p^37*q^272+7070861314*p^35* q^274+3851339624*p^33*q^276+632577110*p^31*q^278+66553965*p^29*q^280+4894262*p^ 27*q^282+580856*p^25*q^284+6080*p^23*q^286+4356*p^21*q^288+146*p^46*q^262+95911 *p^44*q^264+7909318*p^42*q^266+198229142*p^40*q^268+1521993382*p^38*q^270+ 5531488333*p^36*q^272+6225889870*p^34*q^274+1818925310*p^32*q^276+215117806*p^ 30*q^278+20928540*p^28*q^280+2312766*p^26*q^282+80012*p^24*q^284+8102*p^22*q^ 286+122*p^20*q^288+2346*p^45*q^262+709502*p^43*q^264+41451892*p^41*q^266+ 547329723*p^39*q^268+3068345132*p^37*q^270+6828288604*p^35*q^272+4023351002*p^ 33*q^274+705210470*p^31*q^276+72520956*p^29*q^278+5798444*p^27*q^280+706424*p^ 25*q^282+4580*p^23*q^284+6468*p^21*q^286+116*p^46*q^260+62390*p^44*q^262+ 5566394*p^42*q^264+159159382*p^40*q^266+1316359675*p^38*q^268+5051193460*p^36*q ^270+6260982640*p^34*q^272+1972944376*p^32*q^274+243187532*p^30*q^276+24577122* p^28*q^278+2071006*p^26*q^280+137354*p^24*q^282+1564*p^22*q^284+680*p^20*q^286+ 2714*p^45*q^260+518606*p^43*q^262+30433367*p^41*q^264+456345122*p^39*q^266+ 2719036619*p^37*q^268+6466423558*p^35*q^270+4243414975*p^33*q^272+782806950*p^ 31*q^274+81146429*p^29*q^276+6646632*p^27*q^278+967176*p^25*q^280+9372*p^23*q^ 282+6608*p^21*q^284+36*p^46*q^258+23854*p^44*q^260+3540900*p^42*q^262+124953016 *p^40*q^264+1124069802*p^38*q^266+4634748321*p^36*q^268+6236727520*p^34*q^270+ 2150098788*p^32*q^272+272824248*p^30*q^274+27804834*p^28*q^276+2009272*p^26*q^ 278+170068*p^24*q^280+250*p^22*q^282+1056*p^20*q^284+964*p^45*q^258+332268*p^43 *q^260+22100340*p^41*q^262+385546187*p^39*q^264+2392190854*p^37*q^266+ 6188834266*p^35*q^268+4368852058*p^33*q^270+869171414*p^31*q^272+88990404*p^29* q^274+7908812*p^27*q^276+1003654*p^25*q^278+20544*p^23*q^280+1048*p^21*q^282+52 *p^19*q^284+21470*p^44*q^258+2578173*p^42*q^260+98054928*p^40*q^262+964010404*p ^38*q^264+4181156254*p^36*q^266+6173369280*p^34*q^268+2313613602*p^32*q^270+ 308829274*p^30*q^272+31146184*p^28*q^274+2065460*p^26*q^276+266324*p^24*q^278+ 656*p^22*q^280+2952*p^20*q^282+776*p^45*q^256+201862*p^43*q^258+15514256*p^41*q ^260+313729882*p^39*q^262+2091371199*p^37*q^264+5798144914*p^35*q^266+ 4566744635*p^33*q^268+962262398*p^31*q^270+100593412*p^29*q^272+9665480*p^27*q^ 274+1005664*p^25*q^276+35644*p^23*q^278+8*p^21*q^280+52*p^19*q^282+9608*p^44*q^ 256+1598780*p^42*q^258+74179092*p^40*q^260+818385414*p^38*q^262+3812406169*p^36 *q^264+6063438024*p^34*q^266+2491655649*p^32*q^268+343505870*p^30*q^270+ 34164002*p^28*q^272+2163002*p^26*q^274+351708*p^24*q^276+1450*p^22*q^278+994*p^ 20*q^280+80*p^45*q^254+122892*p^43*q^256+11228756*p^41*q^258+260103970*p^39*q^ 260+1824924326*p^37*q^262+5453028450*p^35*q^264+4656573860*p^33*q^266+ 1064092920*p^31*q^268+113196802*p^29*q^270+11196919*p^27*q^272+899732*p^25*q^ 274+46720*p^23*q^276+16*p^21*q^278+652*p^19*q^280+7176*p^44*q^254+1144582*p^42* q^256+55647086*p^40*q^258+694468301*p^38*q^260+3394157316*p^36*q^262+5956637678 *p^34*q^264+2651996766*p^32*q^266+388711014*p^30*q^268+37391266*p^28*q^270+ 2845552*p^26*q^272+443528*p^24*q^274+5612*p^22*q^276+116*p^45*q^252+80684*p^43* q^254+7493269*p^41*q^256+208123028*p^39*q^258+1583645487*p^37*q^260+5064042230* p^35*q^262+4781799485*p^33*q^264+1172978384*p^31*q^266+127588084*p^29*q^268+ 13045962*p^27*q^270+730600*p^25*q^272+79380*p^23*q^274+28*p^21*q^276+572*p^19*q ^278+8*p^46*q^250+2484*p^44*q^252+692448*p^42*q^254+41319291*p^40*q^256+ 580845124*p^38*q^258+3052507901*p^36*q^260+5756254172*p^34*q^262+2842546897*p^ 32*q^264+430403828*p^30*q^266+41430022*p^28*q^268+3354188*p^26*q^270+473512*p^ 24*q^272+7064*p^22*q^274+56*p^18*q^278+24*p^45*q^250+46332*p^43*q^252+5175376*p ^41*q^254+165238261*p^39*q^256+1371156410*p^37*q^258+4716169313*p^35*q^260+ 4830928540*p^33*q^262+1287101410*p^31*q^264+144900134*p^29*q^266+14463592*p^27* q^268+772340*p^25*q^270+119456*p^23*q^272+420*p^21*q^274+1788*p^44*q^250+474890 *p^42*q^252+30381212*p^40*q^254+491101394*p^38*q^256+2694325706*p^36*q^258+ 5572579545*p^34*q^260+2984563258*p^32*q^262+484578491*p^30*q^264+45223718*p^28* q^266+4254990*p^26*q^268+395534*p^24*q^270+10916*p^22*q^272+182*p^18*q^276+96*p ^45*q^248+30024*p^43*q^250+3571144*p^41*q^252+127353080*p^39*q^254+1173465258*p ^37*q^256+4318621882*p^35*q^258+4902687872*p^33*q^260+1409936080*p^31*q^262+ 165288049*p^29*q^264+16322718*p^27*q^266+860126*p^25*q^268+185500*p^23*q^270+ 1200*p^21*q^272+6*p^46*q^246+624*p^44*q^248+280408*p^42*q^250+20952430*p^40*q^ 252+404520712*p^38*q^254+2401073622*p^36*q^256+5322861866*p^34*q^258+3161205373 *p^32*q^260+536937610*p^30*q^262+50797942*p^28*q^264+4940312*p^26*q^266+346392* p^24*q^268+17764*p^22*q^270+8*p^20*q^272+16*p^45*q^246+14736*p^43*q^248+2313558 *p^41*q^250+99930106*p^39*q^252+1004493306*p^37*q^254+3973670174*p^35*q^256+ 4888194654*p^33*q^258+1535682592*p^31*q^260+184233846*p^29*q^262+17297912*p^27* q^264+1100068*p^25*q^266+180918*p^23*q^268+756*p^21*q^270+30*p^17*q^274+496*p^ 44*q^246+208837*p^42*q^248+15465568*p^40*q^250+331651635*p^38*q^252+2101543524* p^36*q^254+5093270314*p^34*q^256+3280072628*p^32*q^258+603381040*p^30*q^260+ 58680984*p^28*q^262+6151082*p^26*q^264+257562*p^24*q^266+46204*p^22*q^268+132*p ^20*q^270+92*p^45*q^244+9538*p^43*q^246+1534961*p^41*q^248+73540360*p^39*q^250+ 855759045*p^37*q^252+3587579370*p^35*q^254+4888966415*p^33*q^256+1670799726*p^ 31*q^258+208071628*p^29*q^260+18367662*p^27*q^262+1369370*p^25*q^264+205176*p^ 23*q^266+1332*p^21*q^268+344*p^44*q^244+105038*p^42*q^246+10281121*p^40*q^248+ 267149828*p^38*q^250+1847041810*p^36*q^252+4814923868*p^34*q^254+3445714535*p^ 32*q^256+664281004*p^30*q^258+66769854*p^28*q^260+6944792*p^26*q^262+245460*p^ 24*q^264+52902*p^22*q^266+12*p^20*q^268+2*p^16*q^272+2992*p^43*q^244+1068196*p^ 41*q^246+55783437*p^39*q^248+725299404*p^37*q^250+3268084883*p^35*q^252+ 4797255040*p^33*q^254+1797209261*p^31*q^256+232716826*p^29*q^258+20000234*p^27* q^260+1753208*p^25*q^262+158566*p^23*q^264+6628*p^21*q^266+4*p^19*q^268+644*p^ 44*q^242+78428*p^42*q^244+7210064*p^40*q^246+213428956*p^38*q^248+1597177544*p^ 36*q^250+4534292498*p^34*q^252+3541451318*p^32*q^254+748448136*p^30*q^256+ 76454238*p^28*q^258+7549334*p^26*q^260+324364*p^24*q^262+76084*p^22*q^264+28*p^ 20*q^266+2888*p^43*q^242+669480*p^41*q^244+39926938*p^39*q^246+608121385*p^37*q ^248+2924065688*p^35*q^250+4749838600*p^33*q^252+1930809056*p^31*q^254+ 260841705*p^29*q^256+22427492*p^27*q^258+2366976*p^25*q^260+87552*p^23*q^262+ 10924*p^21*q^264+220*p^44*q^240+33340*p^42*q^242+4824988*p^40*q^244+166770396*p ^38*q^246+1390992842*p^36*q^248+4225882158*p^34*q^250+3652480751*p^32*q^252+ 821509958*p^30*q^254+86787647*p^28*q^256+7812508*p^26*q^258+361504*p^24*q^260+ 95976*p^22*q^262+444*p^20*q^264+3208*p^43*q^240+440496*p^41*q^242+28926256*p^39 *q^244+504494888*p^37*q^246+2631576527*p^35*q^248+4607861238*p^33*q^250+ 2073957217*p^31*q^252+291731946*p^29*q^254+25838388*p^27*q^256+2831408*p^25*q^ 258+79392*p^23*q^260+14104*p^21*q^262+4*p^44*q^238+18972*p^42*q^240+3396698*p^ 40*q^242+128961735*p^38*q^244+1196249628*p^36*q^246+3930480322*p^34*q^248+ 3705685458*p^32*q^250+908062771*p^30*q^252+97532106*p^28*q^254+8112912*p^26*q^ 256+570998*p^24*q^258+63664*p^22*q^260+1708*p^20*q^262+2954*p^43*q^238+282854*p ^41*q^240+20302474*p^39*q^242+415887729*p^37*q^244+2317578354*p^35*q^246+ 4499606517*p^33*q^248+2200530812*p^31*q^250+331718273*p^29*q^252+30286132*p^27* q^254+3250544*p^25*q^256+63500*p^23*q^258+33408*p^21*q^260+8*p^19*q^262+16*p^44 *q^236+15530*p^42*q^238+2153240*p^40*q^240+96573630*p^38*q^242+1024536895*p^36* q^244+3625763626*p^34*q^246+3777526917*p^32*q^248+996061048*p^30*q^250+ 108850918*p^28*q^252+8464944*p^26*q^254+804400*p^24*q^256+38540*p^22*q^258+1024 *p^20*q^260+262*p^43*q^236+136110*p^41*q^238+14206342*p^39*q^240+338474550*p^37 *q^242+2069518066*p^35*q^244+4298468976*p^33*q^246+2337499980*p^31*q^248+ 366771490*p^29*q^250+34709484*p^27*q^252+3413354*p^25*q^254+90514*p^23*q^256+ 33944*p^21*q^258+148*p^19*q^260+18240*p^42*q^236+1591042*p^40*q^238+73511733*p^ 38*q^240+868752202*p^36*q^242+3324807534*p^34*q^244+3782137948*p^32*q^246+ 1093426632*p^30*q^248+123292684*p^28*q^250+9702930*p^26*q^252+1075640*p^24*q^ 254+15960*p^22*q^256+6152*p^20*q^258+3*p^45*q^232+376*p^43*q^234+90744*p^41*q^ 236+9702424*p^39*q^238+267430789*p^37*q^240+1802542908*p^35*q^242+4136867953*p^ 33*q^244+2452778924*p^31*q^246+417353330*p^29*q^248+39898476*p^27*q^250+3534242 *p^25*q^252+157412*p^23*q^254+28832*p^21*q^256+16*p^19*q^258+6252*p^42*q^234+ 903358*p^40*q^236+52278712*p^38*q^238+740564896*p^36*q^240+3028107140*p^34*q^ 242+3814173948*p^32*q^244+1187900450*p^30*q^246+136923272*p^28*q^248+11002094*p ^26*q^250+1244202*p^24*q^252+8688*p^22*q^254+9892*p^20*q^256+4*p^18*q^258+36*p^ 43*q^232+77940*p^41*q^234+6956080*p^39*q^236+213851706*p^37*q^238+1583814713*p^ 35*q^240+3905442298*p^33*q^242+2563383001*p^31*q^244+461003688*p^29*q^246+ 45238984*p^27*q^248+3419606*p^25*q^250+258198*p^23*q^252+11036*p^21*q^254+496*p ^19*q^256+42*p^44*q^230+3788*p^42*q^232+567928*p^40*q^234+38102459*p^38*q^236+ 610661048*p^36*q^238+2746525340*p^34*q^240+3760554042*p^32*q^242+1300371270*p^ 30*q^244+155852208*p^28*q^246+13250182*p^26*q^248+1525932*p^24*q^250+20576*p^22 *q^252+13340*p^20*q^254+16*p^43*q^230+55634*p^41*q^232+4707668*p^39*q^234+ 163982684*p^37*q^236+1372117672*p^35*q^238+3705978366*p^33*q^240+2661389372*p^ 31*q^242+517260669*p^29*q^244+50380824*p^27*q^246+3543426*p^25*q^248+330644*p^ 23*q^250+898*p^21*q^252+1648*p^19*q^254+6*p^44*q^228+1230*p^42*q^230+349238*p^ 40*q^232+26903798*p^38*q^234+508774551*p^36*q^236+2461491470*p^34*q^238+ 3736290558*p^32*q^240+1396935798*p^30*q^242+175451086*p^28*q^244+15628214*p^26* q^246+1548752*p^24*q^248+40864*p^22*q^250+9760*p^20*q^252+8*p^18*q^254+242*p^43 *q^228+28072*p^41*q^230+3034605*p^39*q^232+124848892*p^37*q^234+1189842413*p^35 *q^236+3458885464*p^33*q^238+2757349092*p^31*q^240+571308670*p^29*q^242+ 56475052*p^27*q^244+3844692*p^25*q^246+461700*p^23*q^248+1688*p^21*q^250+2908*p ^19*q^252+304*p^42*q^228+294100*p^40*q^230+19554115*p^38*q^232+415100656*p^36*q ^234+2208223164*p^34*q^236+3631984544*p^32*q^238+1505567620*p^30*q^240+ 198341448*p^28*q^242+18010040*p^26*q^244+1511604*p^24*q^246+68220*p^22*q^248+ 1064*p^20*q^250+152*p^18*q^252+172*p^43*q^226+16286*p^41*q^228+1908250*p^39*q^ 230+92480957*p^37*q^232+1008969792*p^35*q^234+3227288098*p^33*q^236+2819942578* p^31*q^238+641292923*p^29*q^240+63295558*p^27*q^242+4751952*p^25*q^244+599838*p ^23*q^246+3652*p^21*q^248+5156*p^19*q^250+916*p^42*q^226+178232*p^40*q^228+ 13357822*p^38*q^230+333532602*p^36*q^232+1961127388*p^34*q^234+3569445851*p^32* q^236+1606872974*p^30*q^238+223457106*p^28*q^240+20464850*p^26*q^242+1362382*p^ 24*q^244+89764*p^22*q^246+56*p^20*q^248+240*p^18*q^250+4116*p^41*q^226+1284038* p^39*q^228+68621340*p^37*q^230+867311502*p^35*q^232+2972163898*p^33*q^234+ 2872700162*p^31*q^236+699311434*p^29*q^238+70896924*p^27*q^240+5535390*p^25*q^ 242+668636*p^23*q^244+10364*p^21*q^246+1324*p^19*q^248+4*p^17*q^250+1494*p^42*q ^224+119932*p^40*q^226+9342249*p^38*q^228+263419606*p^36*q^230+1732005627*p^34* q^232+3416060998*p^32*q^234+1718796671*p^30*q^236+253395350*p^28*q^238+23401212 *p^26*q^240+1417470*p^24*q^242+152430*p^22*q^244+186*p^20*q^246+1372*p^18*q^248 +8*p^43*q^222+4776*p^41*q^224+932964*p^39*q^226+49581881*p^37*q^228+722053954*p ^35*q^230+2738430453*p^33*q^232+2905592556*p^31*q^234+775510850*p^29*q^236+ 80118006*p^27*q^238+6752482*p^25*q^240+682646*p^23*q^242+13488*p^21*q^244+4*p^ 17*q^248+234*p^42*q^222+46944*p^40*q^224+5828690*p^38*q^226+204427293*p^36*q^ 228+1516270290*p^34*q^230+3308365406*p^32*q^232+1805669812*p^30*q^234+285615584 *p^28*q^236+25644638*p^26*q^238+1520606*p^24*q^240+201722*p^22*q^242+868*p^20*q ^244+880*p^18*q^246+8*p^43*q^220+6568*p^41*q^222+637494*p^39*q^224+36520606*p^ 37*q^226+607532522*p^35*q^228+2491785792*p^33*q^230+2926299372*p^31*q^232+ 845260530*p^29*q^234+90762151*p^27*q^236+8013834*p^25*q^238+596214*p^23*q^240+ 23802*p^21*q^242+8*p^19*q^244+156*p^17*q^246+158*p^42*q^220+33346*p^40*q^222+ 4199912*p^38*q^224+155653672*p^36*q^226+1321853286*p^34*q^228+3118904262*p^32*q ^230+1904045830*p^30*q^232+319167158*p^28*q^234+28534986*p^26*q^236+1833972*p^ 24*q^238+282960*p^22*q^240+2012*p^20*q^242+3656*p^41*q^220+360972*p^39*q^222+ 24992328*p^37*q^224+493435850*p^35*q^226+2263373040*p^33*q^228+2915228520*p^31* q^230+932077160*p^29*q^232+104427132*p^27*q^234+9434630*p^25*q^236+549660*p^23* q^238+36376*p^21*q^240+24*p^19*q^242+312*p^17*q^244+128*p^42*q^218+25364*p^40*q ^220+2884360*p^38*q^222+117700673*p^36*q^224+1141286290*p^34*q^226+2974309670*p ^32*q^228+1979036374*p^30*q^230+356440499*p^28*q^232+31178018*p^26*q^234+ 2256044*p^24*q^236+277962*p^22*q^238+2076*p^20*q^240+4*p^16*q^244+1420*p^41*q^ 218+209424*p^39*q^220+17277654*p^37*q^222+402570719*p^35*q^224+2029215244*p^33* q^226+2896439555*p^31*q^228+1003417032*p^29*q^230+119562642*p^27*q^232+10609824 *p^25*q^234+479752*p^23*q^236+73608*p^21*q^238+216*p^19*q^240+16*p^42*q^216+ 23162*p^40*q^218+1959040*p^38*q^220+88146510*p^36*q^222+979538698*p^34*q^224+ 2773936592*p^32*q^226+2060655146*p^30*q^228+398105122*p^28*q^230+35439072*p^26* q^232+2866792*p^24*q^234+288942*p^22*q^236+3874*p^20*q^238+56*p^16*q^242+1304*p ^41*q^216+145050*p^39*q^218+12125056*p^37*q^220+315683064*p^35*q^222+1817468364 *p^33*q^224+2833146808*p^31*q^226+1091572215*p^29*q^228+135278246*p^27*q^230+ 11608026*p^25*q^232+551370*p^23*q^234+91924*p^21*q^236+96*p^19*q^238+8*p^42*q^ 214+10900*p^40*q^216+1161466*p^38*q^218+63024344*p^36*q^220+829105128*p^34*q^ 222+2604594925*p^32*q^224+2121284532*p^30*q^226+446003003*p^28*q^228+40499274*p ^26*q^230+3613004*p^24*q^232+222114*p^22*q^234+11052*p^20*q^236+8*p^18*q^238+ 362*p^41*q^214+98373*p^39*q^216+8454752*p^37*q^218+250877831*p^35*q^220+ 1609520416*p^33*q^222+2781334775*p^31*q^224+1161773076*p^29*q^226+151296963*p^ 27*q^228+12339186*p^25*q^230+642338*p^23*q^232+115140*p^21*q^234+244*p^19*q^236 +4*p^15*q^240+9514*p^40*q^214+827598*p^38*q^216+45959870*p^36*q^218+696611146*p ^34*q^220+2389416772*p^32*q^222+2172701622*p^30*q^224+493423252*p^28*q^226+ 47863048*p^26*q^228+4306848*p^24*q^230+165658*p^22*q^232+20200*p^20*q^234+4*p^ 18*q^236+196*p^41*q^212+69706*p^39*q^214+5583123*p^37*q^216+190513906*p^35*q^ 218+1415383444*p^33*q^220+2683722966*p^31*q^222+1254595107*p^29*q^224+172723872 *p^27*q^226+13502370*p^25*q^228+926960*p^23*q^230+133010*p^21*q^232+812*p^19*q^ 234+4*p^42*q^210+3846*p^40*q^212+467486*p^38*q^214+32176564*p^36*q^216+ 573480176*p^34*q^218+2218618814*p^32*q^220+2202122218*p^30*q^222+547038325*p^28 *q^224+53221508*p^26*q^226+4701414*p^24*q^228+129886*p^22*q^230+25376*p^20*q^ 232+12*p^18*q^234+32*p^41*q^210+50846*p^39*q^212+3871274*p^37*q^214+146616190*p ^35*q^216+1236443826*p^33*q^218+2586614565*p^31*q^220+1319998970*p^29*q^222+ 193955474*p^27*q^224+15545658*p^25*q^226+1277308*p^23*q^228+89656*p^21*q^230+ 3054*p^19*q^232+2272*p^40*q^210+350578*p^38*q^212+22844144*p^36*q^214+467153537 *p^34*q^216+2004727644*p^32*q^218+2230746063*p^30*q^220+601935212*p^28*q^222+ 62121618*p^26*q^224+5025434*p^24*q^226+166036*p^22*q^228+50300*p^20*q^230+20*p^ 18*q^232+48*p^41*q^208+30176*p^39*q^210+2471224*p^37*q^212+107327256*p^35*q^214 +1072729896*p^33*q^216+2459765902*p^31*q^218+1403773466*p^29*q^220+218768446*p^ 27*q^222+17616582*p^25*q^224+1596750*p^23*q^226+53694*p^21*q^228+2772*p^19*q^ 230+912*p^40*q^208+238744*p^38*q^210+15708802*p^36*q^212+374238008*p^34*q^214+ 1823678076*p^32*q^216+2227477816*p^30*q^218+660959486*p^28*q^220+70082950*p^26* q^222+5454785*p^24*q^224+265536*p^22*q^226+48476*p^20*q^228+254*p^18*q^230+8*p^ 41*q^206+16024*p^39*q^208+1599412*p^37*q^210+79474196*p^35*q^212+914238242*p^33 *q^214+2349789598*p^31*q^216+1460216246*p^29*q^218+246808251*p^27*q^220+ 20311400*p^25*q^222+1806664*p^23*q^224+25552*p^21*q^226+10184*p^19*q^228+316*p^ 40*q^206+174214*p^38*q^208+11107578*p^36*q^210+296676809*p^34*q^212+1629752036* p^32*q^214+2211574329*p^30*q^216+719277550*p^28*q^218+79634272*p^26*q^220+ 5841764*p^24*q^222+406180*p^22*q^224+37246*p^20*q^226+188*p^18*q^228+10686*p^39 *q^206+1108031*p^37*q^208+56832056*p^35*q^210+771467497*p^33*q^212+2192759070*p ^31*q^214+1538870066*p^29*q^216+277047166*p^27*q^218+24087922*p^25*q^220+ 2137592*p^23*q^222+38478*p^21*q^224+15752*p^19*q^226+8*p^17*q^228+6*p^42*q^202+ 224*p^40*q^204+92722*p^38*q^206+7136850*p^36*q^208+227919404*p^34*q^210+ 1464102454*p^32*q^212+2180752816*p^30*q^214+782169357*p^28*q^216+90170602*p^26* q^218+6287450*p^24*q^220+503772*p^22*q^222+13760*p^20*q^224+944*p^18*q^226+4*p^ 41*q^202+3062*p^39*q^204+791906*p^37*q^206+41130615*p^35*q^208+646238804*p^33*q ^210+2053420564*p^31*q^212+1577167138*p^29*q^214+309923516*p^27*q^216+27105098* p^25*q^218+2244049*p^23*q^220+69032*p^21*q^222+17976*p^19*q^224+12*p^17*q^226+ 44*p^40*q^202+71598*p^38*q^204+4977616*p^36*q^206+175006000*p^34*q^208+ 1279532896*p^32*q^210+2141740116*p^30*q^212+840936878*p^28*q^214+103380372*p^26 *q^216+7483500*p^24*q^218+681384*p^22*q^220+4684*p^20*q^222+2880*p^18*q^224+92* p^41*q^200+2496*p^39*q^202+501176*p^37*q^204+28600548*p^35*q^206+527600502*p^33 *q^208+1894429518*p^31*q^210+1629048974*p^29*q^212+346928574*p^27*q^214+ 31635213*p^25*q^216+2265374*p^23*q^218+105410*p^21*q^220+12652*p^19*q^222+20*p^ 17*q^224+56*p^40*q^200+30828*p^38*q^202+3291456*p^36*q^204+129629192*p^34*q^206 +1130666385*p^32*q^208+2074026824*p^30*q^210+909234319*p^28*q^212+115766822*p^ 26*q^214+8493836*p^24*q^216+825144*p^22*q^218+6960*p^20*q^220+4458*p^18*q^222+ 932*p^39*q^200+342684*p^37*q^202+20143606*p^35*q^204+428589936*p^33*q^206+ 1745918235*p^31*q^208+1648726136*p^29*q^210+383950518*p^27*q^212+35874118*p^25* q^214+2395778*p^23*q^216+148640*p^21*q^218+1860*p^19*q^220+296*p^17*q^222+584*p ^40*q^198+19112*p^38*q^200+2363648*p^36*q^202+96313603*p^34*q^204+967074308*p^ 32*q^206+2004785981*p^30*q^208+965925272*p^28*q^210+132716043*p^26*q^212+ 10228274*p^24*q^214+922694*p^22*q^216+16016*p^20*q^218+6876*p^18*q^220+488*p^39 *q^198+214260*p^37*q^200+13460702*p^35*q^202+339460171*p^33*q^204+1584249940*p^ 31*q^206+1681345505*p^29*q^208+424736308*p^27*q^210+41131642*p^25*q^212+2524040 *p^23*q^214+221243*p^21*q^216+408*p^19*q^218+466*p^17*q^220+148*p^40*q^196+ 10246*p^38*q^198+1505220*p^36*q^200+69959188*p^34*q^202+830815285*p^32*q^204+ 1909270250*p^30*q^206+1028029683*p^28*q^208+149896230*p^26*q^210+11799326*p^24* q^212+975646*p^22*q^214+23296*p^20*q^216+1928*p^18*q^218+12*p^16*q^220+2096*p^ 39*q^196+118820*p^37*q^198+9538270*p^35*q^200+264341486*p^33*q^202+1439637957*p ^31*q^204+1678845560*p^29*q^206+468977669*p^27*q^208+46028456*p^25*q^210+ 2922594*p^23*q^212+282794*p^21*q^214+1432*p^19*q^216+1928*p^17*q^218+4594*p^38* q^196+1059626*p^36*q^198+50060696*p^34*q^200+697447970*p^32*q^202+1813213233*p^ 30*q^204+1073472134*p^28*q^206+170721560*p^26*q^208+14004268*p^24*q^210+908708* p^22*q^212+39668*p^20*q^214+16*p^18*q^216+14*p^16*q^218+3*p^41*q^192+1802*p^39* q^194+79468*p^37*q^196+6519006*p^35*q^198+202708542*p^33*q^200+1274543998*p^31* q^202+1684237706*p^29*q^204+516116100*p^27*q^206+52714415*p^25*q^208+3449688*p^ 23*q^210+390414*p^21*q^212+3136*p^19*q^214+1254*p^17*q^216+5874*p^38*q^194+ 624952*p^36*q^196+34617488*p^34*q^198+579739753*p^32*q^200+1707410060*p^30*q^ 202+1130590505*p^28*q^204+190596216*p^26*q^206+16065206*p^24*q^208+898752*p^22* q^210+53278*p^20*q^212+48*p^18*q^214+240*p^16*q^216+136*p^39*q^192+36960*p^37*q ^194+4412556*p^35*q^196+154312896*p^33*q^198+1138706146*p^31*q^200+1651535692*p ^29*q^202+560417222*p^27*q^204+60084272*p^25*q^206+4134525*p^23*q^208+381692*p^ 21*q^210+4350*p^19*q^212+42*p^40*q^190+9056*p^38*q^192+454904*p^36*q^194+ 25193593*p^34*q^196+469129510*p^32*q^198+1590694088*p^30*q^200+1166858704*p^28* q^202+217115582*p^26*q^204+18005466*p^24*q^206+960901*p^22*q^208+106790*p^20*q^ 210+312*p^18*q^212+448*p^16*q^214+124*p^39*q^190+24856*p^37*q^192+2868746*p^35* q^194+111798930*p^33*q^196+987534750*p^31*q^198+1633306144*p^29*q^200+607866256 *p^27*q^202+69354925*p^25*q^204+5234864*p^23*q^206+385524*p^21*q^208+6320*p^19* q^210+8*p^15*q^214+2888*p^38*q^190+242070*p^36*q^192+17179548*p^34*q^194+ 379777724*p^32*q^196+1472360422*p^30*q^198+1209338992*p^28*q^200+241707398*p^26 *q^202+19970214*p^24*q^204+996020*p^22*q^206+128458*p^20*q^208+280*p^18*q^210+ 240*p^39*q^188+28348*p^37*q^190+2017901*p^35*q^192+82920360*p^33*q^194+ 857836498*p^31*q^196+1573442784*p^29*q^198+655149876*p^27*q^200+78501486*p^25*q ^202+6193488*p^23*q^204+356248*p^21*q^206+16926*p^19*q^208+12*p^17*q^210+82*p^ 15*q^212+1712*p^38*q^188+150906*p^36*q^190+11773484*p^34*q^192+296182354*p^32*q ^194+1347418265*p^30*q^196+1232941486*p^28*q^198+271802747*p^26*q^200+23291110* p^24*q^202+1349962*p^22*q^204+151584*p^20*q^206+536*p^18*q^208+66*p^39*q^186+ 20650*p^37*q^188+1303720*p^35*q^190+59694348*p^33*q^192+724617134*p^31*q^194+ 1532797494*p^29*q^196+698970124*p^27*q^198+90726110*p^25*q^200+6838312*p^23*q^ 202+265795*p^21*q^204+30024*p^19*q^206+12*p^17*q^208+978*p^38*q^186+99390*p^36* q^188+7882158*p^34*q^190+228659725*p^32*q^192+1219909882*p^30*q^194+1253288646* p^28*q^196+300929014*p^26*q^198+26217361*p^24*q^200+1809322*p^22*q^202+175118*p ^20*q^204+1280*p^18*q^206+6*p^14*q^210+12142*p^37*q^186+799036*p^35*q^188+ 42666976*p^33*q^190+613418979*p^31*q^192+1457774764*p^29*q^194+748029417*p^27*q ^196+102857294*p^25*q^198+7752335*p^23*q^200+274598*p^21*q^202+35950*p^19*q^204 +32*p^17*q^206+737*p^38*q^184+84506*p^36*q^186+5660968*p^34*q^188+173259342*p^ 32*q^190+1094665225*p^30*q^192+1252040090*p^28*q^194+332676733*p^26*q^196+ 30242408*p^24*q^198+2245088*p^22*q^200+123136*p^20*q^202+4820*p^18*q^204+6455*p ^37*q^184+512550*p^35*q^186+29184323*p^33*q^188+499937090*p^31*q^190+1387000679 *p^29*q^192+791023062*p^27*q^194+118679616*p^25*q^196+8820560*p^23*q^198+386588 *p^21*q^200+65812*p^19*q^202+32*p^17*q^204+3*p^40*q^180+124*p^38*q^182+60280*p^ 36*q^184+3568992*p^34*q^186+130130006*p^32*q^188+967545166*p^30*q^190+ 1265576598*p^28*q^192+363546724*p^26*q^194+34782773*p^24*q^196+2528012*p^22*q^ 198+80072*p^20*q^200+4516*p^18*q^202+3662*p^37*q^182+322468*p^35*q^184+20832142 *p^33*q^186+405998485*p^31*q^188+1298951522*p^29*q^190+824298850*p^27*q^192+ 133336424*p^25*q^194+9631876*p^23*q^196+573128*p^21*q^198+62121*p^19*q^200+436* p^17*q^202+48*p^38*q^180+42146*p^36*q^182+2478972*p^34*q^184+95490888*p^32*q^ 186+849819595*p^30*q^188+1238298236*p^28*q^190+404300768*p^26*q^192+40677744*p^ 24*q^194+3085728*p^22*q^196+66420*p^20*q^198+14120*p^18*q^200+42*p^39*q^178+ 2140*p^37*q^180+244822*p^35*q^182+14075166*p^33*q^184+318774862*p^31*q^186+ 1208602226*p^29*q^188+862521222*p^27*q^190+150586606*p^25*q^192+11026308*p^23*q ^194+713938*p^21*q^196+47360*p^19*q^198+352*p^17*q^200+17901*p^36*q^180+1485800 *p^34*q^182+68271920*p^32*q^184+730991058*p^30*q^186+1230674215*p^28*q^188+ 435121002*p^26*q^190+47289686*p^24*q^192+3267452*p^22*q^194+98194*p^20*q^196+ 20610*p^18*q^198+16*p^16*q^200+730*p^37*q^178+191058*p^35*q^180+9862102*p^33*q^ 182+252578568*p^31*q^184+1107785160*p^29*q^186+887206801*p^27*q^188+168310426*p ^25*q^190+12564348*p^23*q^192+928974*p^21*q^194+22500*p^19*q^196+1464*p^17*q^ 198+240*p^38*q^176+14564*p^36*q^178+1006454*p^34*q^180+48945946*p^32*q^182+ 615837397*p^30*q^184+1186883686*p^28*q^186+475029327*p^26*q^188+54703268*p^24*q ^190+3688472*p^22*q^192+155994*p^20*q^194+22552*p^18*q^196+24*p^16*q^198+84*p^ 37*q^176+105820*p^35*q^178+6545672*p^33*q^180+189930246*p^31*q^182+1016500602*p ^29*q^184+910371776*p^27*q^186+190473807*p^25*q^188+14906474*p^23*q^190+1114736 *p^21*q^192+11226*p^19*q^194+3976*p^17*q^196+66*p^38*q^174+6944*p^36*q^176+ 717236*p^34*q^178+34266867*p^32*q^180+513354460*p^30*q^182+1150247688*p^28*q^ 184+507028712*p^26*q^186+62087392*p^24*q^188+3866320*p^22*q^190+207820*p^20*q^ 192+16786*p^18*q^194+44*p^16*q^196+728*p^37*q^174+67478*p^35*q^176+4269210*p^33 *q^178+144079427*p^31*q^180+907478944*p^29*q^182+929601150*p^27*q^184+211648904 *p^25*q^186+17598250*p^23*q^188+1302354*p^21*q^190+23788*p^19*q^192+5760*p^17*q ^194+2034*p^36*q^174+505335*p^34*q^176+24333870*p^32*q^178+419965822*p^30*q^180 +1090189242*p^28*q^182+541627796*p^26*q^184+70627678*p^24*q^186+4378636*p^22*q^ 188+296798*p^20*q^190+2686*p^18*q^192+432*p^16*q^194+799*p^37*q^172+46184*p^35* q^174+2853254*p^33*q^176+104692242*p^31*q^178+804989675*p^29*q^180+934270208*p^ 27*q^182+238543401*p^25*q^184+20997896*p^23*q^186+1408066*p^21*q^188+35228*p^19 *q^190+8916*p^17*q^192+1573*p^36*q^172+301068*p^34*q^174+16351883*p^32*q^176+ 335262118*p^30*q^178+1040812890*p^28*q^180+573509096*p^26*q^182+80352898*p^24*q ^184+5006170*p^22*q^186+383064*p^20*q^188+2118*p^18*q^190+656*p^16*q^192+48*p^ 37*q^170+19194*p^35*q^172+1968808*p^33*q^174+77214720*p^31*q^176+701853140*p^29 *q^178+935646337*p^27*q^180+259311910*p^25*q^182+24122718*p^23*q^184+1386664*p^ 21*q^186+53968*p^19*q^188+2480*p^17*q^190+20*p^15*q^192+4140*p^36*q^170+222774* p^34*q^172+11393064*p^32*q^174+263316736*p^30*q^176+962699418*p^28*q^178+ 603362414*p^26*q^180+92883800*p^24*q^182+6178854*p^22*q^184+521294*p^20*q^186+ 4890*p^18*q^188+2520*p^16*q^190+48*p^37*q^168+8038*p^35*q^170+1294714*p^33*q^ 172+54031188*p^31*q^174+601667195*p^29*q^176+924459716*p^27*q^178+290054588*p^ 25*q^180+27408990*p^23*q^182+1510760*p^21*q^184+75240*p^19*q^186+72*p^17*q^188+ 24*p^15*q^190+1040*p^36*q^168+119172*p^34*q^170+7420977*p^32*q^172+203204526*p^ 30*q^174+899028934*p^28*q^176+630379962*p^26*q^178+104109597*p^24*q^180+7538110 *p^22*q^182+503170*p^20*q^184+6334*p^18*q^186+1620*p^16*q^188+13161*p^35*q^168+ 908232*p^33*q^170+39246773*p^31*q^172+504267074*p^29*q^174+907937204*p^27*q^176 +311164794*p^25*q^178+31892392*p^23*q^180+1561406*p^21*q^182+142284*p^19*q^184+ 480*p^17*q^186+324*p^15*q^188+594*p^36*q^166+63407*p^34*q^168+5102888*p^32*q^ 170+151980545*p^30*q^172+813661474*p^28*q^174+654778028*p^26*q^176+119542756*p^ 24*q^178+8929960*p^22*q^180+568150*p^20*q^182+9520*p^18*q^184+8180*p^35*q^166+ 575778*p^33*q^168+26917396*p^31*q^170+418509609*p^29*q^172+878846660*p^27*q^174 +341347283*p^25*q^176+36324024*p^23*q^178+1977944*p^21*q^180+164084*p^19*q^182+ 468*p^17*q^184+584*p^15*q^186+84*p^36*q^164+41720*p^34*q^166+3435981*p^32*q^168 +112364840*p^30*q^170+733899205*p^28*q^172+670155784*p^26*q^174+134797648*p^24* q^176+10268924*p^22*q^178+495666*p^20*q^180+23452*p^18*q^182+20*p^16*q^184+12*p ^14*q^186+3866*p^35*q^164+348344*p^33*q^166+18396398*p^31*q^168+338699694*p^29* q^170+850659967*p^27*q^172+365592302*p^25*q^174+41872119*p^23*q^176+2530310*p^ 21*q^178+199272*p^19*q^180+868*p^17*q^182+12*p^36*q^162+38010*p^34*q^164+ 2374054*p^32*q^166+83559387*p^30*q^168+642500604*p^28*q^170+680998944*p^26*q^ 172+150207498*p^24*q^174+11917534*p^22*q^176+469982*p^20*q^178+39268*p^18*q^180 +20*p^16*q^182+108*p^14*q^184+1736*p^35*q^162+203696*p^33*q^164+12486716*p^31*q ^166+264266101*p^29*q^168+805673352*p^27*q^170+395844481*p^25*q^172+49032908*p^ 23*q^174+3140998*p^21*q^176+226132*p^19*q^178+1916*p^17*q^180+36*p^36*q^160+ 19152*p^34*q^162+1494825*p^32*q^164+58857162*p^30*q^166+567456685*p^28*q^168+ 685580520*p^26*q^170+167968905*p^24*q^172+13445070*p^22*q^174+563424*p^20*q^176 +46688*p^18*q^178+52*p^16*q^180+210*p^35*q^160+143174*p^33*q^162+8716858*p^31*q ^164+207145012*p^29*q^166+755761978*p^27*q^168+416146494*p^25*q^170+55974874*p^ 23*q^172+3680326*p^21*q^174+164220*p^19*q^176+6428*p^17*q^178+8*p^13*q^182+ 13565*p^34*q^160+996418*p^32*q^162+41697255*p^30*q^164+476183096*p^28*q^166+ 687941628*p^26*q^168+186256342*p^24*q^170+15891016*p^22*q^172+801422*p^20*q^174 +83396*p^18*q^176+56*p^16*q^178+528*p^35*q^158+88768*p^33*q^160+5745582*p^31*q^ 162+156694919*p^29*q^164+698238326*p^27*q^166+442241121*p^25*q^168+64670304*p^ 23*q^170+4308736*p^21*q^172+136756*p^19*q^174+6334*p^17*q^176+3354*p^34*q^158+ 578966*p^32*q^160+29002296*p^30*q^162+399752409*p^28*q^164+679103560*p^26*q^166 +206313131*p^24*q^168+18009748*p^22*q^170+986584*p^20*q^172+75168*p^18*q^174+ 608*p^16*q^176+24*p^35*q^156+65378*p^33*q^158+3956169*p^31*q^160+117425796*p^29 *q^162+641003602*p^27*q^164+456662420*p^25*q^166+73631054*p^23*q^168+4979476*p^ 21*q^170+152092*p^19*q^172+18062*p^17*q^174+3642*p^34*q^156+394620*p^32*q^158+ 20148056*p^30*q^160+323439980*p^28*q^162+663192192*p^26*q^164+226470424*p^24*q^ 166+21471826*p^22*q^168+1255222*p^20*q^170+63314*p^18*q^172+540*p^16*q^174+ 28815*p^33*q^156+2480464*p^31*q^158+84897046*p^29*q^160+572256814*p^27*q^162+ 478690510*p^25*q^164+83853724*p^23*q^166+5645516*p^21*q^168+213754*p^19*q^170+ 25138*p^17*q^172+24*p^15*q^174+1094*p^34*q^154+263140*p^32*q^156+13729790*p^30* q^158+261189900*p^28*q^160+639670664*p^26*q^162+246265786*p^24*q^164+24790768*p ^22*q^166+1529424*p^20*q^168+34574*p^18*q^170+1946*p^16*q^172+17418*p^33*q^154+ 1594278*p^31*q^156+61553702*p^29*q^158+503823607*p^27*q^160+488611596*p^25*q^ 162+95073347*p^23*q^164+6440278*p^21*q^166+279778*p^19*q^168+28234*p^17*q^170+ 36*p^15*q^172+60*p^34*q^152+160438*p^32*q^154+9453308*p^30*q^156+202187028*p^28 *q^158+614550345*p^26*q^160+264035820*p^24*q^162+29411573*p^22*q^164+1812300*p^ 20*q^166+35434*p^18*q^168+5036*p^16*q^170+12*p^35*q^150+12256*p^33*q^152+ 1065296*p^31*q^154+43214450*p^29*q^156+432016450*p^27*q^158+497421286*p^25*q^ 160+108193934*p^23*q^162+7418128*p^21*q^164+397820*p^19*q^166+20722*p^17*q^168+ 68*p^15*q^170+60*p^34*q^150+79298*p^32*q^152+6021396*p^30*q^154+154865608*p^28* q^156+576881678*p^26*q^158+287268786*p^24*q^160+33629430*p^22*q^162+2020280*p^ 20*q^164+46458*p^18*q^166+7180*p^16*q^168+1770*p^33*q^150+702965*p^31*q^152+ 30787022*p^29*q^154+368441312*p^27*q^156+497605842*p^25*q^158+119106334*p^23*q^ 160+8809240*p^21*q^162+508124*p^19*q^164+5826*p^17*q^166+568*p^15*q^168+156*p^ 34*q^148+68784*p^32*q^150+4093377*p^30*q^152+115589450*p^28*q^154+531702188*p^ 26*q^156+302377198*p^24*q^158+40110766*p^22*q^160+2234588*p^20*q^162+74474*p^18 *q^164+10916*p^16*q^166+1306*p^33*q^148+372348*p^31*q^150+20688249*p^29*q^152+ 299587000*p^27*q^154+502248288*p^25*q^156+134594214*p^23*q^158+10546398*p^21*q^ 160+656294*p^19*q^162+6242*p^17*q^164+846*p^15*q^166+23327*p^32*q^148+2715316*p ^30*q^150+85504624*p^28*q^152+486846228*p^26*q^154+319167936*p^24*q^156+ 44892938*p^22*q^158+2441882*p^20*q^160+101768*p^18*q^162+3122*p^16*q^164+28*p^ 14*q^166+892*p^33*q^146+275294*p^31*q^148+14240854*p^29*q^150+243495337*p^27*q^ 152+486572408*p^25*q^154+148606572*p^23*q^156+12704712*p^21*q^158+723434*p^19*q ^160+9280*p^17*q^162+3112*p^15*q^164+12558*p^32*q^146+1678374*p^30*q^148+ 61222362*p^28*q^150+432555990*p^26*q^152+334404112*p^24*q^154+52360276*p^22*q^ 156+2877822*p^20*q^158+173640*p^18*q^160+620*p^16*q^162+34*p^14*q^164+312*p^33* q^144+158380*p^31*q^146+9519462*p^29*q^148+190478468*p^27*q^150+477622987*p^25* q^152+162463306*p^23*q^154+14957280*p^21*q^156+779938*p^19*q^158+13528*p^17*q^ 160+1986*p^15*q^162+5177*p^32*q^144+1032054*p^30*q^146+43328273*p^28*q^148+ 377320972*p^26*q^150+346870390*p^24*q^152+59786818*p^22*q^154+3512916*p^20*q^ 156+213298*p^18*q^158+720*p^16*q^160+408*p^14*q^162+24*p^33*q^142+79150*p^31*q^ 144+6434882*p^29*q^146+147689315*p^27*q^148+453908836*p^25*q^150+177896098*p^23 *q^152+17240400*p^21*q^154+799576*p^19*q^156+29240*p^17*q^158+28*p^15*q^160+ 3534*p^32*q^142+706001*p^30*q^144+30317606*p^28*q^146+321616930*p^26*q^148+ 352793430*p^24*q^150+67826380*p^22*q^152+4408230*p^20*q^154+256168*p^18*q^156+ 1270*p^16*q^158+720*p^14*q^160+40866*p^31*q^142+4028828*p^29*q^144+109490034*p^ 27*q^146+429442864*p^25*q^148+193225478*p^23*q^150+20934456*p^21*q^152+865962*p ^19*q^154+49148*p^17*q^156+28*p^15*q^158+16*p^13*q^160+750*p^32*q^140+391502*p^ 30*q^142+20706599*p^28*q^144+269057502*p^26*q^146+360246170*p^24*q^148+76376220 *p^22*q^150+5008467*p^20*q^152+289090*p^18*q^154+2528*p^16*q^156+20224*p^31*q^ 140+2653666*p^29*q^142+82218138*p^27*q^144+392776780*p^25*q^146+206795348*p^23* q^148+23617538*p^21*q^150+1115086*p^19*q^152+60436*p^17*q^154+72*p^15*q^156+134 *p^13*q^158+210*p^32*q^138+251633*p^30*q^140+14202484*p^28*q^142+216899375*p^26 *q^144+358630098*p^24*q^146+86532399*p^22*q^148+6472018*p^20*q^150+252624*p^18* q^152+8026*p^16*q^154+10570*p^31*q^138+1605165*p^29*q^140+57789394*p^27*q^142+ 358677679*p^25*q^144+219880538*p^23*q^146+27899427*p^21*q^148+1288404*p^19*q^ 150+98256*p^17*q^152+80*p^15*q^154+12*p^32*q^136+107798*p^30*q^138+9361154*p^28 *q^140+173532318*p^26*q^142+356510886*p^24*q^144+96795906*p^22*q^146+7400374*p^ 20*q^148+261868*p^18*q^150+8532*p^16*q^152+10*p^12*q^156+3296*p^31*q^136+ 1106062*p^29*q^138+41682323*p^27*q^140+314241910*p^25*q^142+231310477*p^23*q^ 144+31479986*p^21*q^146+1705691*p^19*q^148+97336*p^17*q^150+780*p^15*q^152+12*p ^32*q^134+72996*p^30*q^136+5985388*p^28*q^138+133550194*p^26*q^140+343344934*p^ 24*q^142+108433544*p^22*q^144+8957998*p^20*q^146+290080*p^18*q^148+21526*p^16*q ^150+578*p^31*q^134+580718*p^29*q^136+28975378*p^27*q^138+271878437*p^25*q^140+ 242581792*p^23*q^142+36986517*p^21*q^144+2131850*p^19*q^146+87106*p^17*q^148+ 760*p^15*q^150+24*p^32*q^132+31172*p^30*q^134+3934470*p^28*q^136+100127222*p^26 *q^138+332106539*p^24*q^140+117491126*p^22*q^142+10203834*p^20*q^144+356790*p^ 18*q^146+30520*p^16*q^148+32*p^14*q^150+174*p^31*q^132+345934*p^29*q^134+ 19778750*p^27*q^136+230046400*p^25*q^138+248420531*p^23*q^140+43141024*p^21*q^ 142+2611445*p^19*q^144+67948*p^17*q^146+2412*p^15*q^148+10304*p^30*q^132+ 2544878*p^28*q^134+74311544*p^26*q^136+305604836*p^24*q^138+129910878*p^22*q^ 140+11667324*p^20*q^142+523014*p^18*q^144+34518*p^16*q^146+48*p^14*q^148+456*p^ 31*q^130+203520*p^29*q^132+12945052*p^27*q^134+187370203*p^25*q^136+255389004*p ^23*q^138+49303622*p^21*q^140+3206738*p^19*q^142+60309*p^17*q^144+6096*p^15*q^ 146+2430*p^30*q^130+1429644*p^28*q^132+53678206*p^26*q^134+284603923*p^24*q^136 +139236346*p^22*q^138+14125198*p^20*q^140+651232*p^18*q^142+27804*p^16*q^144+92 *p^14*q^146+87952*p^29*q^130+8919860*p^27*q^132+149598208*p^25*q^134+255301487* p^23*q^136+55559964*p^21*q^138+3397640*p^19*q^140+95336*p^17*q^142+8668*p^15*q^ 144+3834*p^30*q^128+953616*p^28*q^130+37685276*p^26*q^132+251804100*p^24*q^134+ 150053320*p^22*q^136+17009464*p^20*q^138+958008*p^18*q^140+10914*p^16*q^142+704 *p^14*q^144+12*p^31*q^126+32293*p^29*q^128+5364812*p^27*q^130+115678097*p^25*q^ 132+251883252*p^23*q^134+63735687*p^21*q^136+4037406*p^19*q^138+123862*p^17*q^ 140+13052*p^15*q^142+600*p^30*q^126+502356*p^28*q^128+26436584*p^26*q^130+ 222996928*p^24*q^132+159549748*p^22*q^134+19695852*p^20*q^136+1000068*p^18*q^ 138+11736*p^16*q^140+1036*p^14*q^142+20906*p^29*q^126+3569589*p^27*q^128+ 87778782*p^25*q^130+243362687*p^23*q^132+69640448*p^21*q^134+4890831*p^19*q^136 +231168*p^17*q^138+4318*p^15*q^140+36*p^13*q^142+198*p^30*q^124+252968*p^28*q^ 126+17611471*p^26*q^128+186610586*p^24*q^130+168943704*p^22*q^132+23722694*p^20 *q^134+1178958*p^18*q^136+16870*p^16*q^138+3704*p^14*q^140+4*p^31*q^122+9736*p^ 29*q^124+2170724*p^27*q^126+64840247*p^25*q^128+232094490*p^23*q^130+77974195*p ^21*q^132+5826880*p^19*q^134+278722*p^17*q^136+908*p^15*q^138+44*p^13*q^140+24* p^30*q^122+113790*p^28*q^124+11541732*p^26*q^126+154929179*p^24*q^128+173324850 *p^22*q^130+27385900*p^20*q^132+1312566*p^18*q^134+36628*p^16*q^136+2388*p^14*q ^138+2152*p^29*q^122+1276862*p^27*q^124+47125112*p^25*q^126+217386740*p^23*q^ 128+86041380*p^21*q^130+7170887*p^19*q^132+334598*p^17*q^134+1646*p^15*q^136+ 492*p^13*q^138+70*p^30*q^120+72686*p^28*q^122+7612926*p^26*q^124+123215904*p^24 *q^126+175570525*p^22*q^128+30994752*p^20*q^130+1504956*p^18*q^132+63952*p^16*q ^134+36*p^14*q^136+1026*p^29*q^120+652812*p^27*q^122+32439680*p^25*q^124+ 195162850*p^23*q^126+96360819*p^21*q^128+9018770*p^19*q^130+413899*p^17*q^132+ 3116*p^15*q^134+856*p^13*q^136+12*p^30*q^118+22478*p^28*q^120+4791600*p^26*q^ 122+97224550*p^24*q^124+178175826*p^22*q^126+34932630*p^20*q^128+1781620*p^18*q ^130+71888*p^16*q^132+92*p^14*q^134+20*p^12*q^136+528*p^29*q^118+366776*p^27*q^ 120+22559190*p^25*q^122+172521954*p^23*q^124+100974510*p^21*q^126+10673174*p^19 *q^128+397728*p^17*q^130+10394*p^15*q^132+12514*p^28*q^118+2954611*p^26*q^120+ 72893312*p^24*q^122+175242162*p^22*q^124+41263822*p^20*q^126+2387874*p^18*q^128 +127374*p^16*q^130+104*p^14*q^132+160*p^12*q^134+264*p^29*q^116+173406*p^27*q^ 118+14723454*p^25*q^120+146825730*p^23*q^122+109365524*p^21*q^124+12148246*p^19 *q^126+419672*p^17*q^128+10060*p^15*q^130+3530*p^28*q^116+1610598*p^26*q^118+ 54537953*p^24*q^120+169221474*p^22*q^122+46479804*p^20*q^124+3063186*p^18*q^126 +126770*p^16*q^128+992*p^14*q^130+12*p^29*q^114+90358*p^27*q^116+10035002*p^25* q^118+122149874*p^23*q^120+113731532*p^21*q^122+14209885*p^19*q^124+500048*p^17 *q^126+26581*p^15*q^128+12*p^11*q^132+2592*p^28*q^114+924772*p^26*q^116+ 37941668*p^24*q^118+159376707*p^22*q^120+52106026*p^20*q^122+3825414*p^18*q^124 +125272*p^16*q^126+956*p^14*q^128+32858*p^27*q^114+6080295*p^25*q^116+98901420* p^23*q^118+119610008*p^21*q^120+17014866*p^19*q^122+693808*p^17*q^124+36904*p^ 15*q^126+40*p^13*q^128+648*p^28*q^112+484720*p^26*q^114+26899846*p^24*q^116+ 144683172*p^22*q^118+57762828*p^20*q^120+4324612*p^18*q^122+102840*p^16*q^124+ 2940*p^14*q^126+15896*p^27*q^112+3702750*p^25*q^114+77168422*p^23*q^116+ 121559632*p^21*q^118+19891844*p^19*q^120+976098*p^17*q^122+42818*p^15*q^124+60* p^13*q^126+78*p^28*q^110+245293*p^26*q^112+18386350*p^24*q^114+128810049*p^22*q ^116+63016930*p^20*q^118+5240382*p^18*q^120+121116*p^16*q^122+7256*p^14*q^124+ 12*p^29*q^108+8650*p^27*q^110+2116844*p^25*q^112+57147016*p^23*q^114+122325906* p^21*q^116+23384386*p^19*q^118+1250748*p^17*q^120+36368*p^15*q^122+116*p^13*q^ 124+92630*p^26*q^110+11833132*p^24*q^112+112434504*p^22*q^114+69002880*p^20*q^ 116+6180274*p^18*q^118+177054*p^16*q^120+10218*p^14*q^122+1614*p^27*q^108+ 1251702*p^25*q^110+43068402*p^23*q^112+117430348*p^21*q^114+26469602*p^19*q^116 +1447948*p^17*q^118+17926*p^15*q^120+840*p^13*q^122+156*p^28*q^106+61918*p^26*q ^108+7427780*p^24*q^110+91865035*p^22*q^112+73982740*p^20*q^114+7686617*p^18*q^ 116+305738*p^16*q^118+15716*p^14*q^120+360*p^27*q^106+548519*p^25*q^108+ 30042392*p^23*q^110+114056600*p^21*q^112+30704952*p^19*q^114+1736912*p^17*q^116 +22392*p^15*q^118+1226*p^13*q^120+19222*p^26*q^106+4666692*p^24*q^108+74841222* p^22*q^110+78072438*p^20*q^112+8852808*p^18*q^114+357994*p^16*q^116+5196*p^14*q ^118+44*p^12*q^120+852*p^27*q^104+316084*p^25*q^106+20705562*p^23*q^108+ 103741002*p^21*q^110+34212928*p^19*q^112+2144124*p^17*q^114+50714*p^15*q^116+ 4340*p^13*q^118+6528*p^26*q^104+2613368*p^24*q^106+58165116*p^22*q^108+80594458 *p^20*q^110+11112270*p^18*q^112+458604*p^16*q^114+2068*p^14*q^116+54*p^12*q^118 +252*p^27*q^102+147326*p^25*q^104+13580082*p^23*q^106+93456405*p^21*q^108+ 38621566*p^19*q^110+2471826*p^17*q^112+75952*p^15*q^114+2762*p^13*q^116+4*p^28* q^100+3378*p^26*q^102+1377380*p^24*q^104+43882966*p^22*q^106+82344511*p^20*q^ 108+12831748*p^18*q^110+582594*p^16*q^112+4586*p^14*q^114+576*p^12*q^116+56550* p^25*q^102+8935284*p^23*q^104+80316376*p^21*q^106+42501934*p^19*q^108+3103888*p ^17*q^110+95094*p^15*q^112+112*p^13*q^114+2880*p^26*q^100+781122*p^24*q^102+ 31392527*p^22*q^104+80546622*p^20*q^106+15080713*p^18*q^108+652118*p^16*q^110+ 12400*p^14*q^112+992*p^12*q^114+52*p^27*q^98+23042*p^25*q^100+5122868*p^23*q^ 102+67528221*p^21*q^104+46685970*p^19*q^106+4022968*p^17*q^108+154156*p^15*q^ 110+176*p^13*q^112+24*p^11*q^114+174*p^26*q^98+338980*p^24*q^100+22350058*p^22* q^102+78104521*p^20*q^104+17408680*p^18*q^106+707972*p^16*q^108+13012*p^14*q^ 110+15204*p^25*q^98+3116318*p^23*q^100+54052896*p^21*q^102+49576800*p^19*q^104+ 4775934*p^17*q^106+181098*p^15*q^108+1216*p^13*q^110+186*p^11*q^112+402*p^26*q^ 96+171392*p^24*q^98+14750112*p^22*q^100+71482018*p^20*q^102+20318357*p^18*q^104 +993058*p^16*q^106+30712*p^14*q^108+4400*p^25*q^96+1584248*p^23*q^98+41741085*p ^21*q^100+52939432*p^19*q^102+5908592*p^17*q^104+178790*p^15*q^106+1194*p^13*q^ 108+72*p^26*q^94+69796*p^24*q^96+9565618*p^22*q^98+65452440*p^20*q^100+22637892 *p^18*q^102+1215766*p^16*q^104+45734*p^14*q^106+48*p^12*q^108+14*p^10*q^110+ 2424*p^25*q^94+881726*p^23*q^96+31128288*p^21*q^98+53357563*p^19*q^100+7034766* p^17*q^102+199508*p^15*q^104+3432*p^13*q^106+36830*p^24*q^94+5692756*p^22*q^96+ 55683520*p^20*q^98+26068185*p^18*q^100+1673014*p^16*q^102+54640*p^14*q^104+72*p ^12*q^106+922*p^25*q^92+384626*p^23*q^94+22175772*p^21*q^96+53592772*p^19*q^98+ 8357850*p^17*q^100+239968*p^15*q^102+8422*p^13*q^104+14184*p^24*q^92+3321622*p^ 22*q^94+46969193*p^20*q^96+28783644*p^18*q^98+2026944*p^16*q^100+49712*p^14*q^ 102+140*p^12*q^104+40*p^25*q^90+191140*p^23*q^92+15044392*p^21*q^94+51763114*p^ 19*q^96+9632862*p^17*q^98+369470*p^15*q^100+12504*p^13*q^102+7418*p^24*q^90+ 1823788*p^22*q^92+37057224*p^20*q^94+31225994*p^18*q^96+2597508*p^16*q^98+38720 *p^14*q^100+976*p^12*q^102+76*p^25*q^88+86698*p^23*q^90+9509560*p^21*q^92+ 48259540*p^19*q^94+11794532*p^17*q^96+486730*p^15*q^98+18138*p^13*q^100+1116*p^ 24*q^88+844894*p^22*q^90+28754338*p^20*q^92+33256170*p^18*q^94+2973103*p^16*q^ 96+57014*p^14*q^98+1468*p^12*q^100+44319*p^23*q^88+6187824*p^21*q^90+43322661*p ^19*q^92+13372926*p^17*q^94+665667*p^15*q^96+8238*p^13*q^98+52*p^11*q^100+1000* p^24*q^86+445512*p^22*q^88+20045082*p^20*q^90+34291438*p^18*q^92+3729930*p^16*q ^94+95910*p^14*q^96+4940*p^12*q^98+12502*p^23*q^86+3224742*p^21*q^88+37986192*p ^19*q^90+15787268*p^17*q^92+851778*p^15*q^94+5244*p^13*q^96+64*p^11*q^98+54*p^ 24*q^84+215684*p^22*q^86+14637674*p^20*q^88+34164244*p^18*q^90+4419582*p^16*q^ 92+124942*p^14*q^94+3292*p^12*q^96+6594*p^23*q^84+1800080*p^21*q^86+30430642*p^ 19*q^88+17420758*p^17*q^90+989759*p^15*q^92+14632*p^13*q^94+660*p^11*q^96+91858 *p^22*q^84+9270366*p^20*q^86+33910742*p^18*q^88+5612352*p^16*q^90+216266*p^14*q ^92+226*p^12*q^94+1936*p^23*q^82+909452*p^21*q^84+23924212*p^19*q^86+19046783*p ^17*q^88+1190930*p^15*q^90+15748*p^13*q^92+1128*p^11*q^94+5*p^24*q^80+34596*p^ 22*q^82+5587530*p^20*q^84+31585556*p^18*q^86+6846356*p^16*q^88+250372*p^14*q^90 +1368*p^12*q^92+28*p^10*q^94+56*p^23*q^80+463842*p^21*q^82+18306968*p^19*q^84+ 20294364*p^17*q^86+1485948*p^15*q^88+39278*p^13*q^90+18773*p^22*q^80+3172230*p^ 20*q^82+27454386*p^18*q^84+7913940*p^16*q^86+302474*p^14*q^88+1418*p^12*q^90+ 212*p^10*q^92+136*p^23*q^78+184478*p^21*q^80+12489692*p^19*q^82+22119133*p^17*q ^84+2085764*p^15*q^86+58743*p^13*q^88+56*p^11*q^90+2066*p^22*q^78+1728628*p^20* q^80+23909086*p^18*q^82+8913467*p^16*q^84+304710*p^14*q^86+4066*p^12*q^88+ 100296*p^21*q^78+8325315*p^19*q^80+21524390*p^17*q^82+2581765*p^15*q^84+76786*p ^13*q^86+84*p^11*q^88+16*p^9*q^90+1626*p^22*q^76+858344*p^20*q^78+19017535*p^18 *q^80+10466314*p^16*q^82+477302*p^14*q^84+10446*p^12*q^86+27692*p^21*q^76+ 4891586*p^19*q^78+21261886*p^17*q^80+3141680*p^15*q^82+68834*p^13*q^84+164*p^11 *q^86+112*p^22*q^74+408374*p^20*q^76+14880386*p^18*q^78+11667130*p^16*q^80+ 641034*p^14*q^82+15334*p^12*q^84+11728*p^21*q^74+2915798*p^19*q^76+19083042*p^ 17*q^78+3705819*p^15*q^80+79066*p^13*q^82+1172*p^11*q^84+5*p^22*q^72+183970*p^ 20*q^74+10151374*p^18*q^76+12877692*p^16*q^78+896172*p^14*q^80+22142*p^12*q^82+ 2872*p^21*q^72+1470548*p^19*q^74+17392951*p^17*q^76+4444038*p^15*q^78+120248*p^ 13*q^80+1718*p^11*q^82+20*p^22*q^70+66155*p^20*q^72+6851594*p^18*q^74+13160832* p^16*q^76+1109234*p^14*q^78+11778*p^12*q^80+60*p^10*q^82+148*p^21*q^70+766897*p ^19*q^72+14207064*p^17*q^74+5439302*p^15*q^76+180308*p^13*q^78+5682*p^11*q^80+ 28494*p^20*q^70+4149732*p^18*q^72+13128490*p^16*q^74+1324146*p^14*q^76+17362*p^ 12*q^78+74*p^10*q^80+280*p^21*q^68+316686*p^19*q^70+10924051*p^17*q^72+6408192* p^15*q^74+286279*p^13*q^76+3674*p^11*q^78+3185*p^20*q^68+2345140*p^18*q^70+ 13064702*p^16*q^72+1631480*p^14*q^74+22348*p^12*q^76+744*p^10*q^78+159694*p^19* q^68+7979154*p^17*q^70+6807751*p^15*q^72+342246*p^13*q^74+1618*p^11*q^76+2298*p ^20*q^66+1175242*p^18*q^68+11338928*p^16*q^70+2275496*p^14*q^72+54254*p^12*q^74 +1264*p^10*q^76+10*p^21*q^64+38042*p^19*q^66+5223525*p^17*q^68+7857034*p^15*q^ 70+401078*p^13*q^72+1748*p^11*q^74+32*p^9*q^76+300*p^20*q^64+609956*p^18*q^66+ 9966899*p^16*q^68+2539212*p^14*q^70+75012*p^12*q^72+64*p^10*q^74+14447*p^19*q^ 64+3141514*p^17*q^66+7839658*p^15*q^68+585038*p^13*q^70+6025*p^11*q^72+238*p^9* q^74+120*p^20*q^62+244066*p^18*q^64+7758814*p^16*q^66+3269045*p^14*q^68+95320*p ^12*q^70+96*p^10*q^72+4288*p^19*q^62+1735540*p^17*q^64+7891962*p^15*q^66+724803 *p^13*q^68+12364*p^11*q^70+77948*p^18*q^62+5677031*p^16*q^64+3744074*p^14*q^66+ 120952*p^12*q^68+278*p^10*q^70+18*p^8*q^72+730*p^19*q^60+937038*p^17*q^62+ 7384588*p^15*q^64+950570*p^13*q^66+18278*p^11*q^68+32498*p^18*q^60+3588554*p^16 *q^62+4143984*p^14*q^64+161680*p^12*q^66+1336*p^10*q^68+260*p^19*q^58+351670*p^ 17*q^60+6508048*p^15*q^62+1331164*p^13*q^64+27882*p^11*q^66+5382*p^18*q^58+ 2320488*p^16*q^60+4495086*p^14*q^62+193845*p^12*q^64+1986*p^10*q^66+161420*p^17 *q^58+5046076*p^15*q^60+1520950*p^13*q^62+29358*p^11*q^64+68*p^9*q^66+3040*p^18 *q^56+1149416*p^16*q^58+4679578*p^14*q^60+349900*p^12*q^62+6344*p^10*q^64+40972 *p^17*q^56+3719626*p^15*q^58+1893284*p^13*q^60+27562*p^11*q^62+84*p^9*q^64+100* p^18*q^54+564746*p^16*q^56+4510150*p^14*q^58+424962*p^12*q^60+5822*p^10*q^62+ 17186*p^17*q^54+2443320*p^15*q^56+2128756*p^13*q^58+62642*p^11*q^60+828*p^9*q^ 62+30*p^18*q^52+214496*p^16*q^54+3875232*p^14*q^56+591664*p^12*q^58+2782*p^10*q ^60+3240*p^17*q^52+1391622*p^15*q^54+2558499*p^13*q^56+93820*p^11*q^58+1472*p^9 *q^60+72835*p^16*q^52+3176888*p^14*q^54+680014*p^12*q^56+6470*p^10*q^58+36*p^8* q^60+350*p^17*q^50+712016*p^15*q^52+2608248*p^13*q^54+140912*p^11*q^56+168*p^9* q^58+27768*p^16*q^50+2242144*p^14*q^52+912534*p^12*q^54+15476*p^10*q^56+264*p^8 *q^58+60*p^17*q^48+264444*p^15*q^50+2561772*p^13*q^52+181842*p^11*q^54+270*p^9* q^56+3195*p^16*q^48+1491048*p^14*q^50+1165638*p^12*q^52+23512*p^10*q^54+123430* p^15*q^48+2201200*p^13*q^50+210458*p^11*q^52+1612*p^9*q^54+20*p^7*q^56+1090*p^ 16*q^46+712991*p^14*q^48+1333152*p^12*q^50+45584*p^10*q^52+26430*p^15*q^46+ 1901916*p^13*q^48+341016*p^11*q^50+2272*p^9*q^52+358802*p^14*q^46+1351124*p^12* q^48+35496*p^10*q^50+76*p^8*q^52+7820*p^15*q^44+1230438*p^13*q^46+473672*p^11*q ^48+9012*p^9*q^50+6*p^16*q^42+129931*p^14*q^44+1409984*p^12*q^46+64936*p^10*q^ 48+94*p^8*q^50+720*p^15*q^42+715311*p^13*q^44+558726*p^11*q^46+6845*p^9*q^48+ 36320*p^14*q^42+1282725*p^12*q^44+111822*p^10*q^46+1016*p^8*q^48+81*p^15*q^40+ 370614*p^13*q^42+629820*p^11*q^44+7516*p^9*q^46+8820*p^14*q^40+908602*p^12*q^42 +167550*p^10*q^44+1678*p^8*q^46+126480*p^13*q^40+782094*p^11*q^42+17094*p^9*q^ 44+40*p^7*q^46+612*p^14*q^38+633668*p^12*q^40+189082*p^10*q^42+388*p^8*q^44+ 45512*p^13*q^38+704024*p^11*q^40+33734*p^9*q^42+290*p^7*q^44+105*p^14*q^36+ 298312*p^12*q^38+286942*p^10*q^40+1688*p^8*q^42+5730*p^13*q^36+639916*p^11*q^38 +46632*p^9*q^40+134914*p^12*q^36+328282*p^10*q^38+3772*p^8*q^40+22*p^6*q^42+ 1120*p^13*q^34+426278*p^11*q^36+65504*p^9*q^38+84*p^7*q^40+33374*p^12*q^34+ 383331*p^10*q^36+9552*p^8*q^38+35*p^13*q^32+246034*p^11*q^34+96851*p^9*q^36+172 *p^7*q^38+5950*p^12*q^32+354820*p^10*q^34+10781*p^8*q^36+103878*p^11*q^32+ 134882*p^9*q^34+1154*p^7*q^36+770*p^12*q^30+263578*p^10*q^32+18692*p^8*q^34+ 22708*p^11*q^30+180052*p^9*q^32+1920*p^7*q^34+177948*p^10*q^30+27339*p^8*q^32+ 44*p^6*q^34+5124*p^11*q^28+160656*p^9*q^30+2159*p^7*q^32+59248*p^10*q^28+57938* p^8*q^30+316*p^6*q^32+168*p^11*q^26+164718*p^9*q^28+3038*p^7*q^30+17486*p^10*q^ 26+59142*p^8*q^28+118*p^6*q^30+92508*p^9*q^26+11574*p^7*q^28+24*p^5*q^30+1932*p ^10*q^24+81242*p^8*q^26+162*p^6*q^28+35669*p^9*q^24+14970*p^7*q^26+8*p^10*q^22+ 79512*p^8*q^24+1220*p^6*q^26+8344*p^9*q^22+21114*p^7*q^24+43578*p^8*q^22+3012*p ^6*q^24+268*p^9*q^20+37444*p^7*q^22+48*p^5*q^24+18108*p^8*q^20+2578*p^6*q^22+ 30240*p^7*q^20+418*p^5*q^22+1764*p^8*q^18+9810*p^6*q^20+21180*p^7*q^18+98*p^5*q ^20+9*p^8*q^16+11814*p^6*q^18+26*p^4*q^20+4830*p^7*q^16+1330*p^5*q^18+13278*p^6 *q^16+120*p^7*q^14+2736*p^5*q^16+6600*p^6*q^14+66*p^4*q^16+4272*p^5*q^14+462*p^ 6*q^12+394*p^4*q^14+4818*p^5*q^12+624*p^4*q^12+792*p^5*q^10+28*p^3*q^12+1898*p^ 4*q^10+28*p^3*q^10+715*p^4*q^8+379*p^3*q^8+364*p^3*q^6+30*p^2*q^6+105*p^2*q^4+ 16*p*q^2+1 J[18](p, q), equals p^153*q^1938+17*p^152*q^1936+120*p^151*q^1934+32*p^151*q^1932+455*p^150*q^1932+ 436*p^150*q^1930+1001*p^149*q^1930+30*p^150*q^1928+2394*p^149*q^1928+30*p^150*q ^1926+1287*p^148*q^1928+728*p^149*q^1926+6812*p^148*q^1926+452*p^149*q^1924+924 *p^147*q^1926+5512*p^148*q^1924+71*p^149*q^1922+10780*p^147*q^1924+3380*p^148*q ^1922+330*p^146*q^1924+19363*p^147*q^1922+1557*p^148*q^1920+9504*p^146*q^1922+ 28*p^149*q^1918+16064*p^147*q^1920+45*p^145*q^1922+106*p^148*q^1918+35838*p^146 *q^1920+12579*p^147*q^1918+4452*p^145*q^1920+478*p^148*q^1916+46860*p^146*q^ 1918+p^144*q^1920+3076*p^147*q^1916+36570*p^145*q^1918+52*p^148*q^1914+53474*p^ 146*q^1916+984*p^144*q^1918+3692*p^147*q^1914+79680*p^145*q^1916+28130*p^146*q^ 1914+20748*p^144*q^1916+1424*p^147*q^1912+130728*p^145*q^1914+72*p^143*q^1916+ 19666*p^146*q^1912+78532*p^144*q^1914+176*p^147*q^1910+122668*p^145*q^1912+6302 *p^143*q^1914+26*p^148*q^1908+14618*p^146*q^1910+183156*p^144*q^1912+128*p^147* q^1908+85076*p^145*q^1910+46360*p^143*q^1912+3622*p^146*q^1908+289566*p^144*q^ 1910+868*p^142*q^1912+368*p^147*q^1906+80204*p^145*q^1908+146342*p^143*q^1910+ 2520*p^146*q^1906+263534*p^144*q^1908+16664*p^142*q^1910+48*p^147*q^1904+35766* p^145*q^1906+378132*p^143*q^1908+28*p^141*q^1910+2395*p^146*q^1904+278652*p^144 *q^1906+70274*p^142*q^1908+23676*p^145*q^1904+511587*p^143*q^1906+3360*p^141*q^ 1908+1352*p^146*q^1902+196837*p^144*q^1904+274342*p^142*q^1906+13949*p^145*q^ 1902+636056*p^143*q^1904+22354*p^141*q^1906+188*p^146*q^1900+135188*p^144*q^ 1902+583441*p^142*q^1904+280*p^140*q^1906+12110*p^145*q^1900+639960*p^143*q^ 1902+113288*p^141*q^1904+92*p^146*q^1898+88909*p^144*q^1900+920818*p^142*q^1902 +5048*p^140*q^1904+24*p^147*q^1896+4466*p^145*q^1898+516296*p^143*q^1900+390887 *p^141*q^1902+63620*p^144*q^1898+1263863*p^142*q^1900+26698*p^140*q^1902+1984*p ^145*q^1896+428907*p^143*q^1898+807156*p^141*q^1900+700*p^139*q^1902+340*p^146* q^1894+43734*p^144*q^1896+1292848*p^142*q^1898+161034*p^140*q^1900+426*p^145*q^ 1894+277156*p^143*q^1896+1520168*p^141*q^1898+3836*p^139*q^1900+44*p^146*q^1892 +21528*p^144*q^1894+1335536*p^142*q^1896+429376*p^140*q^1898+35*p^138*q^1900+ 2120*p^145*q^1892+238632*p^143*q^1894+2028192*p^141*q^1896+39889*p^139*q^1898+ 9038*p^144*q^1892+1024510*p^142*q^1894+1106548*p^140*q^1896+476*p^138*q^1898+ 1202*p^145*q^1890+152622*p^143*q^1892+2607678*p^141*q^1894+151056*p^139*q^1896+ 9038*p^144*q^1890+881224*p^142*q^1892+1969510*p^140*q^1894+5065*p^138*q^1896+ 104*p^145*q^1888+85576*p^143*q^1890+2660846*p^141*q^1892+486738*p^139*q^1894+42 *p^137*q^1896+11453*p^144*q^1888+716610*p^142*q^1890+3111431*p^140*q^1892+38382 *p^138*q^1894+84*p^145*q^1886+47008*p^143*q^1888+2419492*p^141*q^1890+1216768*p ^139*q^1892+225*p^137*q^1894+2732*p^144*q^1886+493900*p^142*q^1888+4338744*p^ 140*q^1890+130099*p^138*q^1892+61854*p^143*q^1886+2287162*p^141*q^1888+2277921* p^139*q^1890+6640*p^137*q^1892+22*p^146*q^1882+1903*p^144*q^1884+295290*p^142*q ^1886+4686324*p^140*q^1888+498324*p^138*q^1890+12*p^136*q^1892+30524*p^143*q^ 1884+1897106*p^141*q^1886+4252170*p^139*q^1888+22091*p^137*q^1890+300*p^144*q^ 1882+259969*p^142*q^1884+5106186*p^140*q^1886+1075144*p^138*q^1888+540*p^136*q^ 1890+312*p^145*q^1880+19524*p^143*q^1882+1417592*p^141*q^1884+5890878*p^139*q^ 1886+134052*p^137*q^1888+p^135*q^1890+186*p^144*q^1880+197022*p^142*q^1882+ 4933142*p^140*q^1884+2541662*p^138*q^1886+3136*p^136*q^1888+40*p^145*q^1878+ 7796*p^143*q^1880+1038917*p^141*q^1882+7679738*p^139*q^1884+359810*p^137*q^1886 +1884*p^144*q^1878+127471*p^142*q^1880+4545504*p^140*q^1882+4611666*p^138*q^ 1884+21050*p^136*q^1886+3288*p^143*q^1878+890790*p^141*q^1880+8759098*p^139*q^ 1882+969526*p^137*q^1884+435*p^135*q^1886+996*p^144*q^1876+82054*p^142*q^1878+ 3625101*p^140*q^1880+7371380*p^138*q^1882+92648*p^136*q^1884+7816*p^143*q^1876+ 625628*p^141*q^1878+9531560*p^139*q^1880+2312102*p^137*q^1882+1400*p^135*q^1884 +94*p^144*q^1874+34906*p^142*q^1876+3126252*p^140*q^1878+10388364*p^138*q^1880+ 248084*p^136*q^1882+30*p^134*q^1884+8310*p^143*q^1874+499534*p^141*q^1876+ 9274943*p^139*q^1878+4420914*p^137*q^1880+17850*p^135*q^1882+76*p^144*q^1872+ 38842*p^142*q^1874+2449784*p^140*q^1876+13084016*p^138*q^1878+793978*p^136*q^ 1880+2416*p^143*q^1872+266862*p^141*q^1874+8470458*p^139*q^1876+8029278*p^137*q ^1878+43898*p^135*q^1880+39105*p^142*q^1872+2086078*p^140*q^1874+15679544*p^138 *q^1876+1717174*p^136*q^1878+2060*p^134*q^1880+1602*p^143*q^1870+220944*p^141*q ^1872+7490875*p^139*q^1874+11768934*p^137*q^1876+197952*p^135*q^1878+24120*p^ 142*q^1870+1438778*p^140*q^1872+16567104*p^138*q^1874+4002962*p^136*q^1876+6160 *p^134*q^1878+20*p^145*q^1866+312*p^143*q^1868+171373*p^141*q^1870+6554356*p^ 139*q^1872+17003122*p^137*q^1874+470296*p^135*q^1876+90*p^133*q^1878+15870*p^ 142*q^1868+1071714*p^140*q^1870+16729396*p^138*q^1872+7102070*p^136*q^1874+ 34012*p^134*q^1876+108*p^143*q^1866+134860*p^141*q^1868+5505969*p^139*q^1870+ 21656358*p^137*q^1872+1299496*p^135*q^1874+800*p^133*q^1876+284*p^144*q^1864+ 7372*p^142*q^1866+852295*p^140*q^1868+15816492*p^138*q^1870+11928982*p^136*q^ 1872+105038*p^134*q^1874+72*p^143*q^1864+102924*p^141*q^1866+4156656*p^139*q^ 1868+25673256*p^137*q^1870+2977164*p^135*q^1872+3210*p^133*q^1874+36*p^144*q^ 1862+2078*p^142*q^1864+592336*p^140*q^1866+15105384*p^138*q^1868+18352990*p^136 *q^1870+273621*p^134*q^1872+60*p^132*q^1874+1644*p^143*q^1862+71922*p^141*q^ 1864+3611251*p^139*q^1866+27649312*p^137*q^1868+5620576*p^135*q^1870+20928*p^ 133*q^1872+1924*p^142*q^1862+500460*p^140*q^1864+12604444*p^138*q^1866+25881314 *p^136*q^1868+896730*p^134*q^1870+80*p^132*q^1872+904*p^143*q^1860+28238*p^141* q^1862+2537026*p^139*q^1864+29697427*p^137*q^1866+10339770*p^135*q^1868+38283*p ^133*q^1870+5246*p^142*q^1860+410362*p^140*q^1862+11450596*p^138*q^1864+ 32988014*p^136*q^1866+1851338*p^134*q^1868+3140*p^132*q^1870+84*p^143*q^1858+ 22052*p^141*q^1860+2053002*p^139*q^1862+28471636*p^137*q^1864+17048688*p^135*q^ 1866+190146*p^133*q^1868+7520*p^142*q^1858+246280*p^140*q^1860+9343250*p^138*q^ 1862+40088882*p^136*q^1864+4105810*p^134*q^1866+4958*p^132*q^1868+68*p^143*q^ 1856+16528*p^141*q^1858+1710852*p^139*q^1860+27187840*p^137*q^1862+26054584*p^ 135*q^1864+451323*p^133*q^1866+240*p^131*q^1868+2118*p^142*q^1856+162782*p^140* q^1858+7448030*p^138*q^1860+45585314*p^136*q^1862+7624271*p^134*q^1864+25284*p^ 132*q^1866+31920*p^141*q^1856+1338063*p^139*q^1858+25465406*p^137*q^1860+ 36194536*p^135*q^1862+1172740*p^133*q^1864+850*p^131*q^1866+1424*p^142*q^1854+ 106075*p^140*q^1856+6142292*p^138*q^1858+47560149*p^136*q^1860+13831250*p^134*q ^1862+88201*p^132*q^1864+20608*p^141*q^1854+930482*p^139*q^1856+22058590*p^137* q^1858+48898670*p^135*q^1860+2518757*p^133*q^1862+1808*p^131*q^1864+188*p^142*q ^1852+101844*p^140*q^1854+5129249*p^138*q^1856+49820820*p^136*q^1858+22074934*p ^134*q^1860+230354*p^132*q^1862+130*p^130*q^1864+13664*p^141*q^1852+679368*p^ 139*q^1854+19162484*p^137*q^1856+58644977*p^135*q^1858+5099816*p^133*q^1860+ 13798*p^131*q^1862+18*p^144*q^1848+96*p^142*q^1850+110712*p^140*q^1852+4099770* p^138*q^1854+48155610*p^136*q^1856+34571316*p^134*q^1858+663348*p^132*q^1860+80 *p^130*q^1862+5064*p^141*q^1850+437078*p^139*q^1852+15976759*p^137*q^1854+ 69093980*p^135*q^1856+9567643*p^133*q^1858+28732*p^131*q^1860+10*p^129*q^1862+ 64*p^142*q^1848+82808*p^140*q^1850+3224806*p^138*q^1852+46748888*p^136*q^1854+ 48681595*p^134*q^1856+1357078*p^132*q^1858+1382*p^130*q^1860+256*p^143*q^1846+ 1720*p^141*q^1848+449178*p^139*q^1850+13890078*p^137*q^1852+74856550*p^135*q^ 1854+16662392*p^133*q^1856+138144*p^131*q^1858+53008*p^140*q^1848+2236944*p^138 *q^1850+41340461*p^136*q^1852+66107402*p^134*q^1854+3079962*p^132*q^1856+2568*p ^130*q^1858+32*p^143*q^1844+1654*p^141*q^1846+373390*p^139*q^1848+11697644*p^ 137*q^1850+81132544*p^135*q^1852+27282582*p^133*q^1854+276910*p^131*q^1856+75*p ^129*q^1858+1484*p^142*q^1844+20332*p^140*q^1846+1805960*p^138*q^1848+37474488* p^136*q^1850+81730230*p^134*q^1852+5912116*p^132*q^1854+19466*p^130*q^1856+260* p^141*q^1844+314488*p^139*q^1846+9289350*p^137*q^1848+81912625*p^135*q^1850+ 42403464*p^133*q^1852+734769*p^131*q^1854+276*p^129*q^1856+812*p^142*q^1842+ 18866*p^140*q^1844+1517634*p^138*q^1846+33447025*p^136*q^1848+97590514*p^134*q^ 1850+10878573*p^132*q^1852+50170*p^130*q^1854+5*p^128*q^1856+4750*p^141*q^1842+ 173256*p^139*q^1844+7160400*p^137*q^1846+78863836*p^135*q^1848+61990244*p^133*q ^1850+1641072*p^131*q^1852+1340*p^129*q^1854+74*p^142*q^1840+6496*p^140*q^1842+ 1313124*p^138*q^1844+29290128*p^136*q^1846+114009053*p^134*q^1848+18593856*p^ 132*q^1850+119923*p^130*q^1852+20*p^128*q^1854+6638*p^141*q^1840+132250*p^139*q ^1842+5980520*p^137*q^1844+75679255*p^135*q^1846+81575046*p^133*q^1848+3339632* p^131*q^1850+8552*p^129*q^1852+60*p^142*q^1838+12145*p^140*q^1840+993802*p^138* q^1842+24103948*p^136*q^1844+122130094*p^134*q^1846+32357567*p^132*q^1848+ 365632*p^130*q^1850+8*p^128*q^1852+1840*p^141*q^1838+75948*p^139*q^1840+4789044 *p^137*q^1842+70869704*p^135*q^1844+108570520*p^133*q^1846+6031732*p^131*q^1848 +11411*p^129*q^1850+26828*p^140*q^1838+713619*p^138*q^1840+20669950*p^136*q^ 1842+128837162*p^134*q^1844+47970398*p^132*q^1846+803166*p^130*q^1848+1044*p^ 128*q^1850+1208*p^141*q^1836+52912*p^139*q^1838+4144462*p^137*q^1840+64077851*p ^135*q^1842+132157752*p^133*q^1844+11834606*p^131*q^1846+63670*p^129*q^1848+ 17214*p^140*q^1836+529966*p^138*q^1838+16600993*p^136*q^1840+130721528*p^134*q^ 1842+71515868*p^132*q^1844+1643534*p^130*q^1846+520*p^128*q^1848+164*p^141*q^ 1834+76694*p^139*q^1836+3172596*p^137*q^1838+57250944*p^135*q^1840+156459650*p^ 133*q^1842+20283188*p^131*q^1844+147564*p^129*q^1846+60*p^127*q^1848+11220*p^ 140*q^1834+335914*p^138*q^1836+14269082*p^136*q^1838+129503507*p^134*q^1840+ 99134146*p^132*q^1842+3182845*p^130*q^1844+7548*p^128*q^1846+84*p^141*q^1832+ 82424*p^139*q^1834+2576766*p^137*q^1836+50011153*p^135*q^1838+175409052*p^133*q ^1840+33406220*p^131*q^1842+379734*p^129*q^1844+16*p^127*q^1846+4350*p^140*q^ 1832+291048*p^138*q^1834+11823483*p^136*q^1836+123588242*p^134*q^1838+131796174 *p^132*q^1840+6435514*p^130*q^1842+22396*p^128*q^1844+16*p^143*q^1828+56*p^141* q^1830+65882*p^139*q^1832+1827908*p^137*q^1834+42576048*p^135*q^1836+192635552* p^133*q^1838+52623644*p^131*q^1840+720994*p^129*q^1842+448*p^127*q^1844+1480*p^ 140*q^1830+279596*p^138*q^1832+9793696*p^136*q^1834+117744879*p^134*q^1836+ 166254938*p^132*q^1838+11385330*p^130*q^1840+60682*p^128*q^1842+42488*p^139*q^ 1830+1469778*p^137*q^1832+37307222*p^135*q^1834+200843854*p^133*q^1836+77652442 *p^131*q^1838+1582496*p^129*q^1840+3130*p^127*q^1842+228*p^142*q^1826+1494*p^ 140*q^1828+278006*p^138*q^1830+7777215*p^136*q^1832+106141640*p^134*q^1834+ 202390887*p^132*q^1836+20583004*p^130*q^1838+161271*p^128*q^1840+17132*p^139*q^ 1828+1077432*p^137*q^1830+31414572*p^135*q^1832+207573986*p^133*q^1834+ 111439272*p^131*q^1836+2971344*p^129*q^1838+5004*p^127*q^1840+28*p^142*q^1824+ 208*p^140*q^1826+231818*p^138*q^1828+6402320*p^136*q^1830+97098008*p^134*q^1832 +236498108*p^132*q^1834+32902615*p^130*q^1836+311954*p^128*q^1838+338*p^126*q^ 1840+1324*p^141*q^1824+16332*p^139*q^1826+1017278*p^137*q^1828+26741896*p^135*q ^1830+204864562*p^133*q^1832+149191193*p^131*q^1834+6153640*p^129*q^1836+30454* p^127*q^1838+132*p^140*q^1824+135736*p^138*q^1826+4862816*p^136*q^1828+85624738 *p^134*q^1830+266434038*p^132*q^1832+53794980*p^130*q^1834+638356*p^128*q^1836+ 152*p^126*q^1838+720*p^141*q^1822+5788*p^139*q^1824+920470*p^137*q^1826+ 22330614*p^135*q^1828+200125959*p^133*q^1830+196150258*p^131*q^1832+10560716*p^ 129*q^1834+55626*p^127*q^1836+20*p^125*q^1838+4084*p^140*q^1822+107455*p^138*q^ 1824+3892882*p^136*q^1826+76070825*p^134*q^1828+291161746*p^132*q^1830+79339843 *p^130*q^1832+1419368*p^128*q^1834+3289*p^126*q^1836+64*p^141*q^1820+2580*p^139 *q^1822+706648*p^137*q^1824+18875602*p^135*q^1826+188795760*p^133*q^1828+ 244432039*p^131*q^1830+19034092*p^129*q^1832+122432*p^127*q^1834+5916*p^140*q^ 1820+68744*p^138*q^1822+3423206*p^136*q^1824+65794526*p^134*q^1826+308121896*p^ 132*q^1828+115643694*p^130*q^1830+2782671*p^128*q^1832+9878*p^126*q^1834+52*p^ 141*q^1818+8300*p^139*q^1820+541361*p^137*q^1822+14804362*p^135*q^1824+ 175994568*p^133*q^1826+296255732*p^131*q^1828+31775136*p^129*q^1830+251650*p^ 127*q^1832+102*p^125*q^1834+1568*p^140*q^1818+29662*p^138*q^1820+2798494*p^136* q^1822+57850994*p^134*q^1824+320126252*p^132*q^1826+159861980*p^130*q^1828+ 5012694*p^128*q^1830+20018*p^126*q^1832+23666*p^139*q^1818+449468*p^137*q^1820+ 12715016*p^135*q^1822+161938054*p^133*q^1824+342308387*p^131*q^1826+49966302*p^ 129*q^1828+628629*p^127*q^1830+1444*p^125*q^1832+1060*p^140*q^1816+25784*p^138* q^1818+2299155*p^136*q^1820+48640666*p^134*q^1822+316721748*p^132*q^1824+ 215703806*p^130*q^1826+9911139*p^128*q^1828+41746*p^126*q^1830+14376*p^139*q^ 1816+250188*p^137*q^1818+10246362*p^135*q^1820+146385855*p^133*q^1822+394611294 *p^131*q^1824+76433802*p^129*q^1826+1038632*p^127*q^1828+2188*p^125*q^1830+140* p^140*q^1814+59152*p^138*q^1816+1982986*p^136*q^1818+42109312*p^134*q^1820+ 314726150*p^132*q^1822+272827373*p^130*q^1824+16511270*p^128*q^1826+111521*p^ 126*q^1828+108*p^124*q^1830+9834*p^139*q^1814+170122*p^137*q^1816+8643021*p^135 *q^1818+130594368*p^133*q^1820+426960322*p^131*q^1822+113996082*p^129*q^1824+ 2409209*p^127*q^1826+8356*p^125*q^1828+72*p^140*q^1812+66480*p^138*q^1814+ 1486489*p^136*q^1816+35180244*p^134*q^1818+301275639*p^132*q^1820+344635552*p^ 130*q^1822+27833480*p^128*q^1824+195218*p^126*q^1826+88*p^124*q^1828+3796*p^139 *q^1812+159300*p^137*q^1814+7187780*p^135*q^1816+116295558*p^133*q^1818+ 457841686*p^131*q^1820+159979863*p^129*q^1822+4379284*p^127*q^1824+14934*p^125* q^1826+48*p^140*q^1810+54614*p^138*q^1812+1034300*p^136*q^1814+29688320*p^134*q ^1816+285616218*p^132*q^1818+415926778*p^130*q^1820+44541076*p^128*q^1822+ 437806*p^126*q^1824+1428*p^124*q^1826+1224*p^139*q^1810+205232*p^137*q^1812+ 6261882*p^135*q^1814+102623876*p^133*q^1816+476681829*p^131*q^1818+216558794*p^ 129*q^1820+8027810*p^127*q^1822+34908*p^125*q^1824+14*p^142*q^1806+37366*p^138* q^1810+744500*p^136*q^1812+24615550*p^134*q^1814+263686532*p^132*q^1816+ 484998344*p^130*q^1818+70913439*p^128*q^1820+980574*p^126*q^1822+2396*p^124*q^ 1824+1252*p^139*q^1808+203881*p^137*q^1810+4896618*p^135*q^1812+89181511*p^133* q^1814+485485338*p^131*q^1816+290947342*p^129*q^1818+13445156*p^127*q^1820+ 60266*p^125*q^1822+120*p^123*q^1824+13634*p^138*q^1808+661810*p^136*q^1810+ 21090755*p^134*q^1812+245152754*p^132*q^1814+552829306*p^130*q^1816+102609846*p ^128*q^1818+1837858*p^126*q^1820+4394*p^124*q^1822+200*p^141*q^1804+128*p^139*q ^1806+196448*p^137*q^1808+3743977*p^135*q^1810+77450864*p^133*q^1812+480536999* p^131*q^1814+369706206*p^129*q^1816+23764370*p^127*q^1818+182290*p^125*q^1820+ 534*p^123*q^1822+13980*p^138*q^1806+650984*p^136*q^1808+18247246*p^134*q^1810+ 221083467*p^132*q^1812+611396464*p^130*q^1814+150395219*p^128*q^1816+3441792*p^ 126*q^1818+8342*p^124*q^1820+24*p^141*q^1802+112*p^139*q^1804+105880*p^137*q^ 1806+2781668*p^135*q^1808+64685392*p^133*q^1810+470329518*p^131*q^1812+ 464172628*p^129*q^1814+38103844*p^127*q^1816+329268*p^125*q^1818+240*p^123*q^ 1820+1164*p^140*q^1802+4046*p^138*q^1804+684568*p^136*q^1806+15189045*p^134*q^ 1808+203904632*p^132*q^1810+661139140*p^130*q^1812+206679490*p^128*q^1814+ 6018562*p^126*q^1816+25472*p^124*q^1818+84*p^122*q^1820+44*p^139*q^1802+92212*p ^137*q^1804+2400351*p^135*q^1806+56952784*p^133*q^1808+447059816*p^131*q^1810+ 556763308*p^129*q^1812+60022772*p^127*q^1814+785952*p^125*q^1816+1196*p^123*q^ 1818+628*p^140*q^1800+2128*p^138*q^1802+534962*p^136*q^1804+11826804*p^134*q^ 1806+177412740*p^132*q^1808+696214454*p^130*q^1810+284888616*p^128*q^1812+ 11134870*p^126*q^1814+48838*p^124*q^1816+3596*p^139*q^1800+50892*p^137*q^1802+ 2168480*p^135*q^1804+49629494*p^133*q^1806+428406220*p^131*q^1808+660163476*p^ 129*q^1810+89039464*p^127*q^1812+1238362*p^125*q^1814+2912*p^123*q^1816+6*p^121 *q^1818+54*p^140*q^1798+1162*p^138*q^1800+435738*p^136*q^1802+9549621*p^134*q^ 1804+157159162*p^132*q^1806+713284916*p^130*q^1808+371285458*p^128*q^1810+ 18889143*p^126*q^1812+140726*p^124*q^1814+92*p^122*q^1816+5150*p^139*q^1798+ 23032*p^137*q^1800+1971566*p^135*q^1802+42261946*p^133*q^1804+401843049*p^131*q ^1806+755498350*p^129*q^1808+131100519*p^127*q^1810+2535662*p^125*q^1812+6526*p ^123*q^1814+44*p^140*q^1796+7106*p^138*q^1798+347848*p^136*q^1800+8023782*p^134 *q^1802+138358311*p^132*q^1804+715965860*p^130*q^1806+477126399*p^128*q^1808+ 30982230*p^126*q^1810+256729*p^124*q^1812+416*p^122*q^1814+1356*p^139*q^1796+ 15818*p^137*q^1798+1661014*p^135*q^1800+34511219*p^133*q^1802+368300816*p^131*q ^1804+849493024*p^129*q^1806+187860358*p^127*q^1808+4676067*p^125*q^1810+15314* p^123*q^1812+20130*p^138*q^1796+180524*p^136*q^1798+6752516*p^134*q^1800+ 123956216*p^132*q^1802+715718413*p^130*q^1804+594663406*p^128*q^1806+47184920*p ^126*q^1808+434822*p^124*q^1810+690*p^122*q^1812+912*p^139*q^1794+16820*p^137*q ^1796+1558068*p^135*q^1798+29441262*p^133*q^1800+336184705*p^131*q^1802+ 916974022*p^129*q^1804+256928134*p^127*q^1806+8742326*p^125*q^1808+56688*p^123* q^1810+56*p^121*q^1812+12456*p^138*q^1794+135944*p^136*q^1796+5747200*p^134*q^ 1798+106395542*p^132*q^1800+695126700*p^130*q^1802+728079496*p^128*q^1804+ 74836466*p^126*q^1806+930928*p^124*q^1808+708*p^122*q^1810+116*p^139*q^1792+ 47026*p^137*q^1794+1029492*p^135*q^1796+24197838*p^133*q^1798+304861740*p^131*q ^1800+983331577*p^129*q^1802+348252612*p^127*q^1804+13820261*p^125*q^1806+59420 *p^123*q^1808+56*p^121*q^1810+8452*p^138*q^1792+87446*p^136*q^1794+5453318*p^ 134*q^1796+92667672*p^132*q^1798+672766629*p^130*q^1800+860991904*p^128*q^1802+ 107705236*p^126*q^1804+1933928*p^124*q^1806+9300*p^122*q^1808+4*p^120*q^1810+60 *p^139*q^1790+55268*p^137*q^1792+801076*p^135*q^1794+20042812*p^133*q^1796+ 276980450*p^131*q^1798+1016981760*p^129*q^1800+456932163*p^127*q^1802+23929658* p^125*q^1804+147945*p^123*q^1806+12*p^121*q^1808+3200*p^138*q^1790+110520*p^136 *q^1792+4397748*p^134*q^1794+79670182*p^132*q^1796+630731808*p^130*q^1798+ 1001220450*p^128*q^1800+157632854*p^126*q^1802+3423062*p^124*q^1804+10312*p^122 *q^1806+4*p^120*q^1808+40*p^139*q^1788+46306*p^137*q^1790+537148*p^135*q^1792+ 17662562*p^133*q^1794+245817828*p^131*q^1796+1052740957*p^129*q^1798+588154668* p^127*q^1800+36999657*p^125*q^1802+324880*p^123*q^1804+732*p^121*q^1806+1016*p^ 138*q^1788+150912*p^136*q^1790+3525830*p^134*q^1792+67222924*p^132*q^1794+ 598236675*p^130*q^1796+1123208948*p^128*q^1798+220557139*p^126*q^1800+5988802*p ^124*q^1802+16661*p^122*q^1804+31064*p^137*q^1788+445456*p^135*q^1790+15551046* p^133*q^1792+221447378*p^131*q^1794+1050295746*p^129*q^1796+738900682*p^127*q^ 1798+56972958*p^125*q^1800+725542*p^123*q^1802+2340*p^121*q^1804+1020*p^138*q^ 1786+162970*p^136*q^1788+2742950*p^134*q^1790+56873904*p^132*q^1792+552065908*p ^130*q^1794+1240529541*p^128*q^1796+304123118*p^126*q^1798+10763637*p^124*q^ 1800+42658*p^122*q^1802+6*p^120*q^1804+12*p^141*q^1782+11842*p^137*q^1786+ 429968*p^135*q^1788+12858220*p^133*q^1790+193966348*p^131*q^1792+1044648043*p^ 129*q^1794+910402576*p^127*q^1796+85535463*p^125*q^1798+1183834*p^123*q^1800+ 1080*p^121*q^1802+104*p^138*q^1784+156902*p^136*q^1786+2055107*p^134*q^1788+ 50086916*p^132*q^1790+512169504*p^130*q^1792+1344383874*p^128*q^1794+405749042* p^126*q^1796+16844812*p^124*q^1798+117762*p^122*q^1800+360*p^120*q^1802+11148*p ^137*q^1784+440730*p^135*q^1786+11086562*p^133*q^1788+169679500*p^131*q^1790+ 1017178604*p^129*q^1792+1079201053*p^127*q^1794+125169870*p^125*q^1796+2536137* p^123*q^1798+4648*p^121*q^1800+172*p^140*q^1780+92*p^138*q^1782+91282*p^136*q^ 1784+1773586*p^134*q^1786+42419457*p^132*q^1788+468151484*p^130*q^1790+ 1415520614*p^128*q^1792+542982394*p^126*q^1794+27620527*p^124*q^1796+213658*p^ 122*q^1798+30*p^120*q^1800+3398*p^137*q^1782+504356*p^135*q^1784+8469366*p^133* q^1786+147724102*p^131*q^1788+981317658*p^129*q^1790+1272373284*p^127*q^1792+ 177014356*p^125*q^1794+4141654*p^123*q^1796+11934*p^121*q^1798+24*p^119*q^1800+ 20*p^140*q^1778+36*p^138*q^1780+72778*p^136*q^1782+1427612*p^134*q^1784+ 37490548*p^132*q^1786+427227862*p^130*q^1788+1478178468*p^128*q^1790+693474701* p^126*q^1792+41985336*p^124*q^1794+443952*p^122*q^1796+360*p^120*q^1798+1004*p^ 139*q^1778+1728*p^137*q^1780+428680*p^135*q^1782+7368882*p^133*q^1784+129234681 *p^131*q^1786+935622502*p^129*q^1788+1442020089*p^127*q^1790+248644958*p^125*q^ 1792+7528613*p^123*q^1794+38356*p^121*q^1796+36*p^138*q^1778+41786*p^136*q^1780 +1392944*p^134*q^1782+30650927*p^132*q^1784+382798722*p^130*q^1786+1502251573*p ^128*q^1788+883039502*p^126*q^1790+64636779*p^124*q^1792+852022*p^122*q^1794+ 612*p^120*q^1796+536*p^139*q^1776+970*p^137*q^1778+342160*p^135*q^1780+5812730* p^133*q^1782+113077570*p^131*q^1784+887271439*p^129*q^1786+1621745160*p^127*q^ 1788+340413848*p^125*q^1790+11773906*p^123*q^1792+57805*p^121*q^1794+12*p^119*q ^1796+3072*p^138*q^1776+19136*p^136*q^1778+1389500*p^134*q^1780+26428838*p^132* q^1782+343491347*p^130*q^1784+1515777924*p^128*q^1786+1083988821*p^126*q^1788+ 93349606*p^124*q^1790+1658095*p^122*q^1792+5120*p^120*q^1794+44*p^139*q^1774+ 824*p^137*q^1776+270646*p^135*q^1778+4803548*p^133*q^1780+97969010*p^131*q^1782 +831952458*p^129*q^1784+1768136587*p^127*q^1786+460967400*p^125*q^1788+19559470 *p^123*q^1790+142692*p^121*q^1792+12*p^119*q^1794+4436*p^138*q^1774+13041*p^136 *q^1776+1258410*p^134*q^1778+22228778*p^132*q^1780+307105690*p^130*q^1782+ 1495881766*p^128*q^1784+1312442884*p^126*q^1786+135242740*p^124*q^1788+2907138* p^122*q^1790+8276*p^120*q^1792+36*p^139*q^1772+5460*p^137*q^1774+151640*p^135*q ^1776+4239350*p^133*q^1778+83559986*p^131*q^1780+769646081*p^129*q^1782+ 1906297842*p^127*q^1784+611180373*p^125*q^1786+30368082*p^123*q^1788+270191*p^ 121*q^1790+312*p^119*q^1792+1144*p^138*q^1772+8842*p^136*q^1774+1120858*p^134*q ^1776+18191992*p^132*q^1778+273759879*p^130*q^1780+1480339162*p^128*q^1782+ 1547977892*p^126*q^1784+190021552*p^124*q^1786+4727459*p^122*q^1788+16788*p^120 *q^1790+17268*p^137*q^1772+109617*p^135*q^1774+3981742*p^133*q^1776+74067259*p^ 131*q^1778+712524886*p^129*q^1780+1995044543*p^127*q^1782+788226338*p^125*q^ 1784+45682850*p^123*q^1786+636394*p^121*q^1788+1581*p^119*q^1790+764*p^138*q^ 1770+9754*p^136*q^1772+826280*p^134*q^1774+15138557*p^132*q^1776+238109634*p^ 130*q^1778+1422987156*p^128*q^1780+1797650412*p^126*q^1782+270600471*p^124*q^ 1784+8544500*p^122*q^1786+31454*p^120*q^1788+10604*p^137*q^1770+69212*p^135*q^ 1772+3640337*p^133*q^1774+61725054*p^131*q^1776+656763365*p^129*q^1778+ 2083873728*p^127*q^1780+1004548127*p^125*q^1782+65930636*p^123*q^1784+923525*p^ 121*q^1786+1092*p^119*q^1788+92*p^138*q^1768+37040*p^136*q^1770+626190*p^134*q^ 1772+12954942*p^132*q^1774+213924221*p^130*q^1776+1371347324*p^128*q^1778+ 2025422950*p^126*q^1780+366316836*p^124*q^1782+13348273*p^122*q^1784+108662*p^ 120*q^1786+210*p^118*q^1788+7188*p^137*q^1768+52318*p^135*q^1770+3207746*p^133* q^1772+53209150*p^131*q^1774+592364994*p^129*q^1776+2125091385*p^127*q^1778+ 1250672972*p^125*q^1780+98527147*p^123*q^1782+1963150*p^121*q^1784+2838*p^119*q ^1786+48*p^138*q^1766+46550*p^136*q^1768+437656*p^134*q^1770+11501476*p^132*q^ 1772+185723060*p^130*q^1774+1308125583*p^128*q^1776+2249157156*p^126*q^1778+ 498265625*p^124*q^1780+20309246*p^122*q^1782+165794*p^120*q^1784+24*p^118*q^ 1786+2676*p^137*q^1766+63388*p^135*q^1768+2617853*p^133*q^1770+44396892*p^131*q ^1772+537852244*p^129*q^1774+2139012052*p^127*q^1776+1531456059*p^125*q^1778+ 140215304*p^123*q^1780+3345272*p^121*q^1782+11236*p^119*q^1784+12*p^117*q^1786+ 32*p^138*q^1764+39236*p^136*q^1766+327630*p^134*q^1768+10283302*p^132*q^1770+ 162659507*p^130*q^1772+1239514764*p^128*q^1774+2457069348*p^126*q^1776+ 656265046*p^124*q^1778+30531968*p^122*q^1780+331042*p^120*q^1782+192*p^118*q^ 1784+776*p^137*q^1764+115820*p^135*q^1766+2104560*p^133*q^1768+38424704*p^131*q ^1770+486295310*p^129*q^1772+2129216143*p^127*q^1774+1816825500*p^125*q^1776+ 198772203*p^123*q^1778+5543328*p^121*q^1780+30209*p^119*q^1782+26730*p^136*q^ 1764+240332*p^134*q^1766+9023096*p^132*q^1768+140749918*p^130*q^1770+1153105113 *p^128*q^1772+2628228714*p^126*q^1774+866002201*p^124*q^1776+46642028*p^122*q^ 1778+719748*p^120*q^1780+490*p^118*q^1782+836*p^137*q^1762+132096*p^135*q^1764+ 1614930*p^133*q^1766+32654656*p^131*q^1768+434497961*p^129*q^1770+2108468074*p^ 127*q^1772+2135068058*p^125*q^1774+275386854*p^123*q^1776+8310693*p^121*q^1778+ 37916*p^119*q^1780+6*p^117*q^1782+9168*p^136*q^1762+247832*p^134*q^1764+7749414 *p^132*q^1766+122144447*p^130*q^1768+1081190326*p^128*q^1770+2765134427*p^126*q ^1772+1100714032*p^124*q^1774+67196515*p^122*q^1776+1248504*p^120*q^1778+4372*p ^118*q^1780+80*p^137*q^1760+136322*p^135*q^1762+1283970*p^133*q^1764+29009546*p ^131*q^1766+387859926*p^129*q^1768+2056514026*p^127*q^1770+2442724564*p^125*q^ 1772+379641962*p^123*q^1774+13652708*p^121*q^1776+123118*p^119*q^1778+10*p^140* q^1756+9286*p^136*q^1760+310372*p^134*q^1762+6472230*p^132*q^1764+104892748*p^ 130*q^1766+994396934*p^128*q^1768+2865021670*p^126*q^1770+1387979331*p^124*q^ 1772+98410342*p^122*q^1774+2088392*p^120*q^1776+3510*p^118*q^1778+72*p^137*q^ 1758+72108*p^135*q^1760+930018*p^133*q^1762+24900350*p^131*q^1764+343311845*p^ 129*q^1766+1989805806*p^127*q^1768+2769968887*p^125*q^1770+515401490*p^123*q^ 1772+20109149*p^121*q^1774+222090*p^119*q^1776+366*p^117*q^1778+2720*p^136*q^ 1758+415673*p^134*q^1760+5396442*p^132*q^1762+91428246*p^130*q^1764+920243596*p ^128*q^1766+2949484195*p^126*q^1768+1694147072*p^124*q^1770+137538828*p^122*q^ 1772+3362512*p^120*q^1774+13746*p^118*q^1776+144*p^139*q^1754+28*p^137*q^1756+ 60404*p^135*q^1758+823404*p^133*q^1760+22016200*p^131*q^1762+304005920*p^129*q^ 1764+1907019384*p^127*q^1766+3032891876*p^125*q^1768+691066549*p^123*q^1770+ 31018186*p^121*q^1772+472900*p^119*q^1774+372*p^117*q^1776+1296*p^136*q^1756+ 342334*p^134*q^1758+4286273*p^132*q^1760+78237492*p^130*q^1762+834195539*p^128* q^1764+2983211548*p^126*q^1766+2069295257*p^124*q^1768+196384914*p^122*q^1770+ 5466494*p^120*q^1772+32136*p^118*q^1774+12*p^116*q^1776+16*p^139*q^1752+28*p^ 137*q^1754+34528*p^135*q^1756+950877*p^133*q^1758+18779482*p^131*q^1760+ 268117027*p^129*q^1762+1822838994*p^127*q^1764+3313523855*p^125*q^1766+ 898709962*p^123*q^1768+44287256*p^121*q^1770+699302*p^119*q^1772+728*p^117*q^ 1774+844*p^138*q^1752+700*p^136*q^1754+272698*p^134*q^1756+3327328*p^132*q^1758 +68546098*p^130*q^1760+761478800*p^128*q^1762+2989064202*p^126*q^1764+ 2439554980*p^124*q^1766+274273719*p^122*q^1768+8584306*p^120*q^1770+83033*p^118 *q^1772+24*p^116*q^1774+14496*p^135*q^1754+1070048*p^133*q^1756+16132205*p^131* q^1758+235029898*p^129*q^1760+1722863157*p^127*q^1762+3539091484*p^125*q^1764+ 1158232099*p^123*q^1766+64425620*p^121*q^1768+1280758*p^119*q^1770+3752*p^117*q ^1772+444*p^138*q^1750+672*p^136*q^1752+226116*p^134*q^1754+2749436*p^132*q^ 1756+60074622*p^130*q^1758+685092729*p^128*q^1760+2963340418*p^126*q^1762+ 2835559150*p^124*q^1764+380939000*p^122*q^1766+13281660*p^120*q^1768+141888*p^ 118*q^1770+18*p^116*q^1772+2592*p^137*q^1750+9640*p^135*q^1752+923140*p^133*q^ 1754+13347898*p^131*q^1756+203422368*p^129*q^1758+1615587696*p^127*q^1760+ 3746740666*p^125*q^1762+1476726210*p^123*q^1764+92193333*p^121*q^1766+2080508*p ^119*q^1768+9176*p^117*q^1770+34*p^138*q^1748+108*p^136*q^1750+117514*p^134*q^ 1752+2833926*p^132*q^1754+51799440*p^130*q^1756+623748482*p^128*q^1758+ 2927029166*p^126*q^1760+3236521258*p^124*q^1762+509570112*p^122*q^1764+18892478 *p^120*q^1766+229045*p^118*q^1768+252*p^116*q^1770+3722*p^137*q^1748+7218*p^135 *q^1750+915512*p^133*q^1752+10797875*p^131*q^1754+180961718*p^129*q^1756+ 1504687617*p^127*q^1758+3882031802*p^125*q^1760+1826022139*p^123*q^1762+ 133784644*p^121*q^1764+3627446*p^119*q^1766+29232*p^117*q^1768+28*p^138*q^1746+ 4518*p^136*q^1748+84406*p^134*q^1750+2653732*p^132*q^1752+45241824*p^130*q^1754 +550107166*p^128*q^1756+2847198146*p^126*q^1758+3636140868*p^124*q^1760+ 691466066*p^122*q^1762+28391690*p^120*q^1764+434000*p^118*q^1766+474*p^116*q^ 1768+932*p^137*q^1746+3212*p^135*q^1748+639042*p^133*q^1750+8971504*p^131*q^ 1752+156156929*p^129*q^1754+1399667276*p^127*q^1756+4017825724*p^125*q^1758+ 2239593200*p^123*q^1760+186554274*p^121*q^1762+5061934*p^119*q^1764+31183*p^117 *q^1766+14568*p^136*q^1746+54654*p^134*q^1748+2704700*p^132*q^1750+38809910*p^ 130*q^1752+497149890*p^128*q^1754+2760931450*p^126*q^1756+4005943758*p^124*q^ 1758+901645836*p^122*q^1760+40683132*p^120*q^1762+853571*p^118*q^1764+4604*p^ 116*q^1766+616*p^137*q^1744+5418*p^135*q^1746+490324*p^133*q^1748+8041772*p^131 *q^1750+137596686*p^129*q^1752+1288781773*p^127*q^1754+4078522206*p^125*q^1756+ 2677277792*p^123*q^1758+263975202*p^121*q^1760+8128530*p^119*q^1762+70990*p^117 *q^1764+12*p^115*q^1766+8836*p^136*q^1744+37148*p^134*q^1746+2390034*p^132*q^ 1748+32223378*p^130*q^1750+437455541*p^128*q^1752+2648039468*p^126*q^1754+ 4355523077*p^124*q^1756+1180884402*p^122*q^1758+59247473*p^120*q^1760+1287996*p ^118*q^1762+4749*p^116*q^1764+68*p^137*q^1742+30922*p^135*q^1744+337816*p^133*q ^1746+7424752*p^131*q^1748+120345172*p^129*q^1750+1182845552*p^127*q^1752+ 4126115615*p^125*q^1754+3163045580*p^123*q^1756+360346883*p^121*q^1758+11697308 *p^119*q^1760+157613*p^117*q^1762+348*p^115*q^1764+5924*p^136*q^1742+18476*p^ 134*q^1744+1986190*p^132*q^1746+27270352*p^130*q^1748+388874566*p^128*q^1750+ 2528757386*p^126*q^1752+4678132424*p^124*q^1754+1498828322*p^122*q^1756+ 85610784*p^120*q^1758+1981826*p^118*q^1760+8234*p^116*q^1762+36*p^137*q^1740+ 38918*p^135*q^1742+253096*p^133*q^1744+7155176*p^131*q^1746+105415800*p^129*q^ 1748+1083205826*p^127*q^1750+4121974344*p^125*q^1752+3642173065*p^123*q^1754+ 492168386*p^121*q^1756+17009868*p^119*q^1758+311392*p^117*q^1760+1021*p^115*q^ 1762+2128*p^136*q^1740+44720*p^134*q^1742+1613996*p^132*q^1744+23276830*p^130*q ^1746+342346633*p^128*q^1748+2387104624*p^126*q^1750+4933278426*p^124*q^1752+ 1896348186*p^122*q^1754+123521483*p^120*q^1756+3312350*p^118*q^1758+20595*p^116 *q^1760+24*p^137*q^1738+33006*p^135*q^1740+157818*p^133*q^1742+6268322*p^131*q^ 1744+90226302*p^129*q^1746+976864316*p^127*q^1748+4097585457*p^125*q^1750+ 4172758730*p^123*q^1752+659886440*p^121*q^1754+24542528*p^119*q^1756+410457*p^ 117*q^1758+642*p^115*q^1760+576*p^136*q^1738+92860*p^134*q^1740+1221214*p^132*q ^1742+21036443*p^130*q^1744+304432898*p^128*q^1746+2264168528*p^126*q^1748+ 5173619954*p^124*q^1750+2321255037*p^122*q^1752+171568096*p^120*q^1754+4614949* p^118*q^1756+58578*p^116*q^1758+168*p^114*q^1760+21564*p^135*q^1738+115350*p^ 133*q^1740+5781554*p^131*q^1742+77082462*p^129*q^1744+888578794*p^127*q^1746+ 4008931088*p^125*q^1748+4652884495*p^123*q^1750+879894932*p^121*q^1752+37003414 *p^119*q^1754+829534*p^117*q^1756+1628*p^115*q^1758+652*p^136*q^1736+112636*p^ 134*q^1738+967634*p^132*q^1740+18655054*p^130*q^1742+268583883*p^128*q^1744+ 2106060372*p^126*q^1746+5360708574*p^124*q^1748+2831142068*p^122*q^1750+ 242035504*p^120*q^1752+6792132*p^118*q^1754+87209*p^116*q^1756+24*p^114*q^1758+ 7216*p^135*q^1736+162004*p^133*q^1738+4633056*p^131*q^1740+66145167*p^129*q^ 1742+790816672*p^127*q^1744+3932681788*p^125*q^1746+5140731172*p^123*q^1748+ 1148867067*p^121*q^1750+52741488*p^119*q^1752+1163948*p^117*q^1754+7156*p^115*q ^1756+12*p^113*q^1758+56*p^136*q^1734+109624*p^134*q^1736+647734*p^132*q^1738+ 17259706*p^130*q^1740+236051304*p^128*q^1742+1976000026*p^126*q^1744+5500648008 *p^124*q^1746+3373738562*p^122*q^1748+329833866*p^120*q^1750+9830843*p^118*q^ 1752+163992*p^116*q^1754+48*p^114*q^1756+7356*p^135*q^1734+253184*p^133*q^1736+ 4053420*p^131*q^1738+57973846*p^129*q^1740+715399388*p^127*q^1742+3793606218*p^ 125*q^1744+5584062784*p^123*q^1746+1472584634*p^121*q^1748+77475330*p^119*q^ 1750+1884742*p^117*q^1752+17628*p^115*q^1754+52*p^136*q^1732+58324*p^134*q^1734 +486794*p^132*q^1736+15023124*p^130*q^1738+203911597*p^128*q^1740+1816705538*p^ 126*q^1742+5583686457*p^124*q^1744+3967277406*p^122*q^1746+458599293*p^120*q^ 1748+14632802*p^118*q^1750+266451*p^116*q^1752+504*p^114*q^1754+8*p^139*q^1728+ 2068*p^135*q^1732+330366*p^133*q^1734+3192370*p^131*q^1736+50999264*p^129*q^ 1738+640675186*p^127*q^1740+3668291118*p^125*q^1742+6025947136*p^123*q^1744+ 1870901978*p^121*q^1746+106858498*p^119*q^1748+2575480*p^117*q^1750+25850*p^115 *q^1752+20*p^136*q^1730+48168*p^134*q^1732+528040*p^132*q^1734+13172308*p^130*q ^1736+178476502*p^128*q^1738+1670938644*p^126*q^1740+5629364300*p^124*q^1742+ 4559032517*p^122*q^1744+612649470*p^120*q^1746+21902968*p^118*q^1748+447570*p^ 116*q^1750+2476*p^114*q^1752+920*p^135*q^1730+268104*p^133*q^1732+2364524*p^131 *q^1734+45738614*p^129*q^1736+571512283*p^127*q^1738+3512909280*p^125*q^1740+ 6396784791*p^123*q^1742+2336974652*p^121*q^1744+153509795*p^119*q^1746+3737250* p^117*q^1748+55219*p^115*q^1750+12*p^113*q^1752+116*p^138*q^1726+20*p^136*q^ 1728+27284*p^134*q^1730+733140*p^132*q^1732+11720284*p^130*q^1734+154779612*p^ 128*q^1736+1533568354*p^126*q^1738+5607601302*p^124*q^1740+5184857502*p^122*q^ 1742+818815013*p^120*q^1744+31760824*p^118*q^1746+727221*p^116*q^1748+3882*p^ 114*q^1750+488*p^135*q^1728+219764*p^133*q^1730+1794058*p^131*q^1732+39466826*p ^129*q^1734+504762992*p^127*q^1736+3330043098*p^125*q^1738+6744966262*p^123*q^ 1740+2878002385*p^121*q^1742+214649910*p^119*q^1744+5578963*p^117*q^1746+78396* p^115*q^1748+210*p^113*q^1750+12*p^138*q^1724+10790*p^134*q^1728+768478*p^132*q ^1730+9699328*p^130*q^1732+137179530*p^128*q^1734+1401909250*p^126*q^1736+ 5599610552*p^124*q^1738+5809464963*p^122*q^1740+1068063678*p^120*q^1742+ 44824072*p^118*q^1744+914726*p^116*q^1746+8760*p^114*q^1748+684*p^137*q^1724+ 500*p^135*q^1726+178648*p^133*q^1728+1843380*p^131*q^1730+35712698*p^129*q^1732 +448086473*p^127*q^1734+3146396454*p^125*q^1736+6995456368*p^123*q^1738+ 3452572230*p^121*q^1740+297806126*p^119*q^1742+8628910*p^117*q^1744+193508*p^ 115*q^1746+510*p^113*q^1748+7184*p^134*q^1726+721074*p^132*q^1728+7582200*p^130 *q^1730+119289100*p^128*q^1732+1270260868*p^126*q^1734+5489115271*p^124*q^1736+ 6436498072*p^122*q^1738+1406965139*p^120*q^1740+66126000*p^118*q^1742+1414370*p ^116*q^1744+11400*p^114*q^1746+12*p^112*q^1748+352*p^137*q^1722+72*p^135*q^1724 +92190*p^133*q^1726+1851666*p^131*q^1728+31564481*p^129*q^1730+392773144*p^127* q^1732+2958121369*p^125*q^1734+7257863274*p^123*q^1736+4114874735*p^121*q^1738+ 400771508*p^119*q^1740+11895661*p^117*q^1742+215958*p^115*q^1744+861*p^113*q^ 1746+2112*p^136*q^1722+5284*p^134*q^1724+701158*p^132*q^1726+6377710*p^130*q^ 1728+105322710*p^128*q^1730+1154232874*p^126*q^1732+5390652100*p^124*q^1734+ 7005580899*p^122*q^1736+1784768354*p^120*q^1738+93692750*p^118*q^1740+2112186*p ^116*q^1742+39794*p^114*q^1744+36*p^112*q^1746+24*p^137*q^1720+32*p^135*q^1722+ 65558*p^133*q^1724+1869344*p^131*q^1726+27179530*p^129*q^1728+349386863*p^127*q ^1730+2757900314*p^125*q^1732+7407479151*p^123*q^1734+4809617268*p^121*q^1736+ 549052402*p^119*q^1738+18293520*p^117*q^1740+360145*p^115*q^1742+1774*p^113*q^ 1744+3008*p^136*q^1720+2296*p^134*q^1722+508014*p^132*q^1724+5584162*p^130*q^ 1726+92822442*p^128*q^1728+1033881920*p^126*q^1730+5224786192*p^124*q^1732+ 7576091020*p^122*q^1734+2255331359*p^120*q^1736+131816160*p^118*q^1738+2974654* p^116*q^1740+51072*p^114*q^1742+33*p^112*q^1744+20*p^137*q^1718+3676*p^135*q^ 1720+40502*p^133*q^1722+1931038*p^131*q^1724+22668500*p^129*q^1726+306424722*p^ 127*q^1728+2571014965*p^125*q^1730+7541466272*p^123*q^1732+5550271311*p^121*q^ 1734+736799538*p^119*q^1736+26329116*p^117*q^1738+532562*p^115*q^1740+5458*p^ 113*q^1742+720*p^136*q^1718+762*p^134*q^1720+386114*p^132*q^1722+5064823*p^130* q^1724+82866644*p^128*q^1726+929049884*p^126*q^1728+5055255728*p^124*q^1730+ 8093808361*p^122*q^1732+2789752374*p^120*q^1734+180772132*p^118*q^1736+4464418* p^116*q^1738+71348*p^114*q^1740+240*p^112*q^1742+11900*p^135*q^1718+27168*p^133 *q^1720+1779392*p^131*q^1722+19565060*p^129*q^1724+270973397*p^127*q^1726+ 2376609070*p^125*q^1728+7601722956*p^123*q^1730+6286977376*p^121*q^1732+ 975724289*p^119*q^1734+38992616*p^117*q^1736+725249*p^115*q^1738+12836*p^113*q^ 1740+468*p^136*q^1716+4008*p^134*q^1718+259906*p^132*q^1720+4913598*p^130*q^ 1722+72072189*p^128*q^1724+830211492*p^126*q^1726+4835792713*p^124*q^1728+ 8558981810*p^122*q^1730+3421970835*p^120*q^1732+254844396*p^118*q^1734+6815810* p^116*q^1736+147618*p^114*q^1738+468*p^112*q^1740+7068*p^135*q^1716+11884*p^133 *q^1718+1553138*p^131*q^1720+16436654*p^129*q^1722+237770672*p^127*q^1724+ 2185704327*p^125*q^1726+7615274376*p^123*q^1728+7078405192*p^121*q^1730+ 1273932756*p^119*q^1732+53774834*p^117*q^1734+981846*p^115*q^1736+8397*p^113*q^ 1738+18*p^111*q^1740+44*p^136*q^1714+25224*p^134*q^1716+188212*p^132*q^1718+ 4662912*p^130*q^1720+63151642*p^128*q^1722+744467297*p^126*q^1724+4627940628*p^ 124*q^1726+8991494778*p^122*q^1728+4098430660*p^120*q^1730+346765237*p^118*q^ 1732+10187776*p^116*q^1734+183674*p^114*q^1736+2710*p^112*q^1738+4644*p^135*q^ 1714+8760*p^133*q^1716+1242606*p^131*q^1718+14819838*p^129*q^1720+212190365*p^ 127*q^1722+1997735662*p^125*q^1724+7569799047*p^123*q^1726+7806597596*p^121*q^ 1728+1645476131*p^119*q^1730+77239692*p^117*q^1732+1583966*p^115*q^1734+33176*p ^113*q^1736+18*p^111*q^1738+24*p^136*q^1712+31580*p^134*q^1714+118564*p^132*q^ 1716+4561484*p^130*q^1718+53885241*p^128*q^1720+660198990*p^126*q^1722+ 4379453546*p^124*q^1724+9338901772*p^122*q^1726+4878470004*p^120*q^1728+ 477173366*p^118*q^1730+15137495*p^116*q^1732+239356*p^114*q^1734+896*p^112*q^ 1736+1612*p^135*q^1712+32088*p^133*q^1714+934672*p^131*q^1716+12759622*p^129*q^ 1718+185935026*p^127*q^1720+1823307736*p^125*q^1722+7473920746*p^123*q^1724+ 8594075236*p^121*q^1726+2091499694*p^119*q^1728+106898814*p^117*q^1730+2323146* p^115*q^1732+46584*p^113*q^1734+372*p^111*q^1736+16*p^136*q^1710+26260*p^134*q^ 1712+67456*p^132*q^1714+4210310*p^130*q^1716+47802060*p^128*q^1718+588623666*p^ 126*q^1720+4147415148*p^124*q^1722+9661593618*p^122*q^1724+5667400670*p^120*q^ 1726+637466875*p^118*q^1728+21236938*p^116*q^1730+316764*p^114*q^1732+4354*p^ 112*q^1734+376*p^135*q^1710+76484*p^133*q^1712+734736*p^131*q^1714+12085810*p^ 129*q^1716+163642886*p^127*q^1718+1659292680*p^125*q^1720+7319805296*p^123*q^ 1722+9283770618*p^121*q^1724+2626403738*p^119*q^1726+152745276*p^117*q^1728+ 3887904*p^115*q^1730+71684*p^113*q^1732+316*p^111*q^1734+17200*p^134*q^1710+ 53544*p^132*q^1712+3521580*p^130*q^1714+40699120*p^128*q^1716+522578800*p^126*q ^1718+3863717789*p^124*q^1720+9904235084*p^122*q^1722+6548788173*p^120*q^1724+ 854977588*p^118*q^1726+30292438*p^116*q^1728+464536*p^114*q^1730+9752*p^112*q^ 1732+24*p^110*q^1734+468*p^135*q^1708+87598*p^133*q^1710+475766*p^131*q^1712+ 11363344*p^129*q^1714+143872208*p^127*q^1716+1500622939*p^125*q^1718+7162488260 *p^123*q^1720+9994266055*p^121*q^1722+3241875488*p^119*q^1724+209778617*p^117*q ^1726+5499170*p^115*q^1728+71604*p^113*q^1730+214*p^111*q^1732+5112*p^134*q^ 1708+125140*p^132*q^1710+3071390*p^130*q^1712+35611034*p^128*q^1714+463464243*p ^126*q^1716+3622257088*p^124*q^1718+10058939168*p^122*q^1720+7440346450*p^120*q ^1722+1119272878*p^118*q^1724+43027926*p^116*q^1726+827132*p^114*q^1728+17964*p ^112*q^1730+93*p^110*q^1732+32*p^135*q^1706+88896*p^133*q^1708+300782*p^131*q^ 1710+10417664*p^129*q^1712+127167725*p^127*q^1714+1356303598*p^125*q^1716+ 6927514597*p^123*q^1718+10644381946*p^121*q^1720+3935104883*p^119*q^1722+ 291540088*p^117*q^1724+8086581*p^115*q^1726+79244*p^113*q^1728+1440*p^111*q^ 1730+5560*p^134*q^1706+186236*p^132*q^1708+2408100*p^130*q^1710+31965264*p^128* q^1712+409782932*p^126*q^1714+3352634020*p^124*q^1716+10163700782*p^122*q^1718+ 8354726216*p^120*q^1720+1468614060*p^118*q^1722+61679865*p^116*q^1724+1340284*p ^114*q^1726+26096*p^112*q^1728+32*p^135*q^1704+45222*p^133*q^1706+271854*p^131* q^1708+9612996*p^129*q^1710+109355290*p^127*q^1712+1218790044*p^125*q^1714+ 6666369210*p^123*q^1716+11271920435*p^121*q^1718+4735905646*p^119*q^1720+ 396283444*p^117*q^1722+11191700*p^115*q^1724+134751*p^113*q^1726+2444*p^111*q^ 1728+15*p^109*q^1730+1400*p^134*q^1704+256484*p^132*q^1706+1721852*p^130*q^1708 +28277022*p^128*q^1710+364938835*p^126*q^1712+3112399338*p^124*q^1714+ 10220166141*p^122*q^1716+9275707878*p^120*q^1718+1868433020*p^118*q^1720+ 85907342*p^116*q^1722+1956252*p^114*q^1724+13120*p^112*q^1726+108*p^110*q^1728+ 12*p^135*q^1702+37264*p^133*q^1704+362346*p^131*q^1706+8657542*p^129*q^1708+ 98211462*p^127*q^1710+1094411444*p^125*q^1712+6385729721*p^123*q^1714+ 11776802362*p^121*q^1716+5585582888*p^119*q^1718+539637908*p^117*q^1720+ 16714007*p^115*q^1722+283582*p^113*q^1724+8904*p^111*q^1726+6*p^138*q^1698+572* p^134*q^1702+214760*p^132*q^1704+1217518*p^130*q^1706+26180410*p^128*q^1708+ 319241554*p^126*q^1710+2849548813*p^124*q^1712+10171749558*p^122*q^1714+ 10224324197*p^120*q^1716+2381594162*p^118*q^1718+123134955*p^116*q^1720+2875916 *p^114*q^1722+16323*p^112*q^1724+108*p^110*q^1726+p^108*q^1728+12*p^135*q^1700+ 20134*p^133*q^1702+482352*p^131*q^1704+7148740*p^129*q^1706+83635876*p^127*q^ 1708+981188265*p^125*q^1710+6083328650*p^123*q^1712+12308776185*p^121*q^1714+ 6525206712*p^119*q^1716+719931462*p^117*q^1718+22648010*p^115*q^1720+406351*p^ 113*q^1722+4252*p^111*q^1724+276*p^134*q^1700+172488*p^132*q^1702+1101660*p^130 *q^1704+24481218*p^128*q^1706+286151338*p^126*q^1708+2624498994*p^124*q^1710+ 10084743740*p^122*q^1712+11131752324*p^120*q^1714+2952135744*p^118*q^1716+ 168995904*p^116*q^1718+4216056*p^114*q^1720+45408*p^112*q^1722+1764*p^110*q^ 1724+88*p^137*q^1696+7364*p^133*q^1700+590828*p^131*q^1702+5557514*p^129*q^1704 +74133848*p^127*q^1706+872552032*p^125*q^1708+5754431358*p^123*q^1710+ 12687329928*p^121*q^1712+7501863637*p^119*q^1714+961907028*p^117*q^1716+ 33994994*p^115*q^1718+697706*p^113*q^1720+1376*p^111*q^1722+340*p^134*q^1698+ 140028*p^132*q^1700+1023928*p^130*q^1702+22367057*p^128*q^1704+251827000*p^126* q^1706+2391158539*p^124*q^1708+9922088064*p^122*q^1710+12048191902*p^120*q^1712 +3653720076*p^118*q^1714+234474875*p^116*q^1716+5742336*p^114*q^1718+73196*p^ 112*q^1720+1880*p^110*q^1722+8*p^137*q^1694+4562*p^133*q^1698+550764*p^131*q^ 1700+4422348*p^129*q^1702+66268840*p^127*q^1704+778493434*p^125*q^1706+ 5415490912*p^123*q^1708+13048545018*p^121*q^1710+8553756608*p^119*q^1712+ 1253700248*p^117*q^1714+47845072*p^115*q^1716+1010064*p^113*q^1718+4712*p^111*q ^1720+144*p^109*q^1722+524*p^136*q^1694+48*p^134*q^1696+67336*p^132*q^1698+ 1208692*p^130*q^1700+19445586*p^128*q^1702+220045991*p^126*q^1704+2183537132*p^ 124*q^1706+9723055211*p^122*q^1708+12924430062*p^120*q^1710+4414695783*p^118*q^ 1712+321919418*p^116*q^1714+8212773*p^114*q^1716+133382*p^112*q^1718+58*p^110*q ^1720+3612*p^133*q^1696+564814*p^131*q^1698+3667270*p^129*q^1700+61141642*p^127 *q^1702+698158910*p^125*q^1704+5084550149*p^123*q^1706+13276618730*p^121*q^1708 +9604407062*p^119*q^1710+1621316480*p^117*q^1712+67602419*p^115*q^1714+1460462* p^113*q^1716+11390*p^111*q^1718+558*p^109*q^1720+260*p^136*q^1692+16*p^134*q^ 1694+46503*p^132*q^1696+1275264*p^130*q^1698+16288284*p^128*q^1700+192085680*p^ 126*q^1702+1965192157*p^124*q^1704+9431832376*p^122*q^1706+13758156580*p^120*q^ 1708+5302513888*p^118*q^1710+444039776*p^116*q^1712+12486636*p^114*q^1714+ 231264*p^112*q^1716+280*p^110*q^1718+1632*p^135*q^1692+1532*p^133*q^1694+390600 *p^131*q^1696+3176104*p^129*q^1698+55501876*p^127*q^1700+621224820*p^125*q^1702 +4746139038*p^123*q^1704+13498275839*p^121*q^1706+10746461736*p^119*q^1708+ 2073404878*p^117*q^1710+93272630*p^115*q^1712+1874017*p^113*q^1714+17996*p^111* q^1716+14*p^136*q^1690+8*p^134*q^1692+27136*p^132*q^1694+1460966*p^130*q^1696+ 13731558*p^128*q^1698+170551008*p^126*q^1700+1782847424*p^124*q^1702+9129882328 *p^122*q^1704+14540411776*p^120*q^1706+6227925008*p^118*q^1708+590239738*p^116* q^1710+17657712*p^114*q^1712+343880*p^112*q^1714+1244*p^110*q^1716+90*p^108*q^ 1718+2294*p^135*q^1690+384*p^133*q^1692+293151*p^131*q^1694+3014594*p^129*q^ 1696+49882674*p^127*q^1698+551156930*p^125*q^1700+4414936504*p^123*q^1702+ 13549552624*p^121*q^1704+11853215435*p^119*q^1706+2616856558*p^117*q^1708+ 134445157*p^115*q^1710+2939594*p^113*q^1712+44527*p^111*q^1714+8*p^109*q^1716+ 12*p^136*q^1688+2868*p^134*q^1690+18790*p^132*q^1692+1393064*p^130*q^1694+ 11377170*p^128*q^1696+152954784*p^126*q^1698+1603130964*p^124*q^1700+8759681842 *p^122*q^1702+15256387895*p^120*q^1704+7281680292*p^118*q^1706+791303877*p^116* q^1708+25086392*p^114*q^1710+461618*p^112*q^1712+1956*p^110*q^1714+508*p^135*q^ 1688+252*p^133*q^1690+182144*p^131*q^1692+3044730*p^129*q^1694+43490742*p^127*q ^1696+484186669*p^125*q^1698+4069020596*p^123*q^1700+13585877119*p^121*q^1702+ 13031685296*p^119*q^1704+3256677629*p^117*q^1706+185119316*p^115*q^1708+4105441 *p^113*q^1710+66836*p^111*q^1712+64*p^109*q^1714+6*p^107*q^1716+9172*p^134*q^ 1688+7060*p^132*q^1690+1205032*p^130*q^1692+9746924*p^128*q^1694+137860888*p^ 126*q^1696+1456275838*p^124*q^1698+8406924866*p^122*q^1700+15930416576*p^120*q^ 1702+8362982271*p^118*q^1704+1037663854*p^116*q^1706+35284142*p^114*q^1708+ 651896*p^112*q^1710+5912*p^110*q^1712+320*p^135*q^1686+2960*p^133*q^1688+132918 *p^131*q^1690+3386334*p^129*q^1692+38091688*p^127*q^1694+430937776*p^125*q^1696 +3744725640*p^123*q^1698+13461159544*p^121*q^1700+14129989273*p^119*q^1702+ 3987132282*p^117*q^1704+256516643*p^115*q^1706+6408494*p^113*q^1708+115089*p^ 111*q^1710+192*p^109*q^1712+5406*p^134*q^1686+4074*p^132*q^1688+935656*p^130*q^ 1690+8127922*p^128*q^1692+123116028*p^126*q^1694+1295359030*p^124*q^1696+ 7986588542*p^122*q^1698+16495702799*p^120*q^1700+9572220394*p^118*q^1702+ 1366400688*p^116*q^1704+51468088*p^114*q^1706+862902*p^112*q^1708+10292*p^110*q ^1710+20*p^135*q^1684+19562*p^133*q^1686+78276*p^131*q^1688+3356301*p^129*q^ 1690+33013568*p^127*q^1692+382307854*p^125*q^1694+3437435316*p^123*q^1696+ 13330426537*p^121*q^1698+15296576314*p^119*q^1700+4814505582*p^117*q^1702+ 345818410*p^115*q^1704+8552721*p^113*q^1706+151866*p^111*q^1708+530*p^109*q^ 1710+3360*p^134*q^1684+3068*p^132*q^1686+676598*p^130*q^1688+7849232*p^128*q^ 1690+110146344*p^126*q^1692+1164599790*p^124*q^1694+7561720398*p^122*q^1696+ 16987245724*p^120*q^1698+10793146716*p^118*q^1700+1756821348*p^116*q^1702+ 72868375*p^114*q^1704+1406670*p^112*q^1706+22001*p^110*q^1708+8*p^108*q^1710+12 *p^135*q^1682+24572*p^133*q^1684+41868*p^131*q^1686+3246152*p^129*q^1688+ 27744582*p^127*q^1690+341831420*p^125*q^1692+3150371885*p^123*q^1694+ 13077523832*p^121*q^1696+16392749662*p^119*q^1698+5735764532*p^117*q^1700+ 470543344*p^115*q^1702+12724396*p^113*q^1704+186185*p^111*q^1706+1196*p^109*q^ 1708+1034*p^134*q^1682+25990*p^132*q^1684+516004*p^130*q^1686+7721630*p^128*q^ 1688+98790636*p^126*q^1690+1037340410*p^124*q^1692+7103584886*p^122*q^1694+ 17353937046*p^120*q^1696+12073289956*p^118*q^1698+2242416852*p^116*q^1700+ 102428252*p^114*q^1702+2091398*p^112*q^1704+38366*p^110*q^1706+52*p^108*q^1708+ 8*p^135*q^1680+20178*p^133*q^1682+20836*p^131*q^1684+2624332*p^129*q^1686+ 23415226*p^127*q^1688+302057600*p^125*q^1690+2858713202*p^123*q^1692+ 12796568763*p^121*q^1694+17491830560*p^119*q^1696+6799398030*p^117*q^1698+ 631809872*p^115*q^1700+18372385*p^113*q^1702+242778*p^111*q^1704+2383*p^109*q^ 1706+200*p^134*q^1680+56942*p^132*q^1682+313850*p^130*q^1684+8013386*p^128*q^ 1686+87014697*p^126*q^1688+932996260*p^124*q^1690+6677624551*p^122*q^1692+ 17664744068*p^120*q^1694+13424339085*p^118*q^1696+2786778366*p^116*q^1698+ 139541109*p^114*q^1700+2817126*p^112*q^1702+42444*p^110*q^1704+76*p^108*q^1706+ 12320*p^133*q^1680+37890*p^131*q^1682+2258644*p^129*q^1684+20957205*p^127*q^ 1686+273314172*p^125*q^1688+2603142486*p^123*q^1690+12401243162*p^121*q^1692+ 18479239503*p^119*q^1694+7878534644*p^117*q^1696+850412607*p^115*q^1698+ 27320742*p^113*q^1700+482801*p^111*q^1702+8762*p^109*q^1704+4*p^107*q^1706+274* p^134*q^1678+69860*p^132*q^1680+190828*p^130*q^1682+7591964*p^128*q^1684+ 75172826*p^126*q^1686+823862890*p^124*q^1688+6218907646*p^122*q^1690+ 17805184695*p^120*q^1692+14814925970*p^118*q^1694+3483220985*p^116*q^1696+ 194314818*p^114*q^1698+4225021*p^112*q^1700+40306*p^110*q^1702+94*p^108*q^1704+ 3128*p^133*q^1678+85284*p^131*q^1680+1663836*p^129*q^1682+19083414*p^127*q^1684 +242976399*p^125*q^1686+2357149282*p^123*q^1688+11994114472*p^121*q^1690+ 19488624116*p^119*q^1692+9105387373*p^117*q^1694+1105152798*p^115*q^1696+ 37414768*p^113*q^1698+582954*p^111*q^1700+9188*p^109*q^1702+20*p^134*q^1676+ 68040*p^132*q^1678+138655*p^130*q^1680+7135378*p^128*q^1682+65401259*p^126*q^ 1684+742096140*p^124*q^1686+5778048787*p^122*q^1688+17925657506*p^120*q^1690+ 16182604793*p^118*q^1692+4232686510*p^116*q^1694+267930642*p^114*q^1696+6400972 *p^112*q^1698+87509*p^110*q^1700+1322*p^108*q^1702+3528*p^133*q^1676+137784*p^ 131*q^1678+1181556*p^129*q^1680+18574182*p^127*q^1682+218102940*p^125*q^1684+ 2130639830*p^123*q^1686+11515848908*p^121*q^1688+20327454413*p^119*q^1690+ 10407630994*p^117*q^1692+1443248823*p^115*q^1694+53560042*p^113*q^1696+917510*p ^111*q^1698+9000*p^109*q^1700+12*p^134*q^1674+31820*p^132*q^1676+174142*p^130*q ^1678+6185981*p^128*q^1680+56279438*p^126*q^1682+657518364*p^124*q^1684+ 5345705686*p^122*q^1686+17844852116*p^120*q^1688+17636463370*p^118*q^1690+ 5105411902*p^116*q^1692+367275172*p^114*q^1694+9285947*p^112*q^1696+116696*p^ 110*q^1698+1978*p^108*q^1700+892*p^133*q^1674+204852*p^131*q^1676+777129*p^129* q^1678+17892098*p^127*q^1680+193071014*p^125*q^1682+1919730162*p^123*q^1684+ 11005216597*p^121*q^1686+21157364966*p^119*q^1688+11793217823*p^117*q^1690+ 1850904492*p^115*q^1692+74083381*p^113*q^1694+1328434*p^111*q^1696+11802*p^109* q^1698+88*p^107*q^1700+4*p^134*q^1672+25124*p^132*q^1674+199392*p^130*q^1676+ 5049472*p^128*q^1678+49908438*p^126*q^1680+590202490*p^124*q^1682+4926113301*p^ 122*q^1684+17746896780*p^120*q^1686+19048657873*p^118*q^1688+6074487974*p^116*q ^1690+493712260*p^114*q^1692+13157286*p^112*q^1694+183288*p^110*q^1696+1776*p^ 108*q^1698+244*p^133*q^1672+162978*p^131*q^1674+697492*p^129*q^1676+17253475*p^ 127*q^1678+170178942*p^125*q^1680+1734066457*p^123*q^1682+10467975144*p^121*q^ 1684+21806618773*p^119*q^1686+13239119686*p^117*q^1688+2340987321*p^115*q^1690+ 104875332*p^113*q^1692+2097772*p^111*q^1694+20760*p^109*q^1696+399*p^107*q^1698 +8*p^134*q^1670+13296*p^132*q^1672+365798*p^130*q^1674+3787894*p^128*q^1676+ 45338234*p^126*q^1678+529342137*p^124*q^1680+4519205366*p^122*q^1682+ 17459967596*p^120*q^1684+20460357718*p^118*q^1686+7169771658*p^116*q^1688+ 667246020*p^114*q^1690+19213506*p^112*q^1692+268878*p^110*q^1694+1812*p^108*q^ 1696+4*p^137*q^1666+100*p^133*q^1670+125352*p^131*q^1672+525784*p^129*q^1674+ 15640892*p^127*q^1676+148345780*p^125*q^1678+1542690386*p^123*q^1680+9909559385 *p^121*q^1682+22424754062*p^119*q^1684+14800070408*p^117*q^1686+2922864222*p^ 115*q^1688+144603720*p^113*q^1690+2856732*p^111*q^1692+29946*p^109*q^1694+192*p ^107*q^1696+4072*p^132*q^1670+452148*p^130*q^1672+3002346*p^128*q^1674+42600701 *p^126*q^1676+473024300*p^124*q^1678+4160830283*p^122*q^1680+17177956694*p^120* q^1682+21830565364*p^118*q^1684+8335415722*p^116*q^1686+874884006*p^114*q^1688+ 26640186*p^112*q^1690+407324*p^110*q^1692+2684*p^108*q^1694+53*p^106*q^1696+236 *p^133*q^1668+97674*p^131*q^1670+596164*p^129*q^1672+13674449*p^127*q^1674+ 130778834*p^125*q^1676+1396584312*p^123*q^1678+9297172530*p^121*q^1680+ 22837859805*p^119*q^1682+16392266634*p^117*q^1684+3601019788*p^115*q^1686+ 204127238*p^113*q^1688+4547893*p^111*q^1690+58404*p^109*q^1692+383*p^107*q^1694 +60*p^136*q^1664+2252*p^132*q^1668+425776*p^130*q^1670+2394206*p^128*q^1672+ 40201362*p^126*q^1674+420966158*p^124*q^1676+3776765556*p^122*q^1678+ 16745301657*p^120*q^1680+23183540540*p^118*q^1682+9640100657*p^116*q^1684+ 1157358912*p^114*q^1686+37822294*p^112*q^1688+595318*p^110*q^1690+3158*p^108*q^ 1692+8*p^106*q^1694+24*p^133*q^1666+43000*p^131*q^1668+812686*p^129*q^1670+ 11084230*p^127*q^1672+115299278*p^125*q^1674+1247044594*p^123*q^1676+8748847032 *p^121*q^1678+23159844010*p^119*q^1680+18083941088*p^117*q^1682+4387262520*p^ 115*q^1684+274907108*p^113*q^1686+6276234*p^111*q^1688+66390*p^109*q^1690+176*p ^107*q^1692+3*p^105*q^1694+4*p^136*q^1662+2344*p^132*q^1666+418580*p^130*q^1668 +1846294*p^128*q^1670+37733110*p^126*q^1672+374918462*p^124*q^1674+3444668507*p ^122*q^1676+16256742748*p^120*q^1678+24452825138*p^118*q^1680+11020478664*p^116 *q^1682+1479205522*p^114*q^1684+54235158*p^112*q^1686+886460*p^110*q^1688+12518 *p^108*q^1690+53*p^106*q^1692+364*p^135*q^1662+8*p^133*q^1664+27298*p^131*q^ 1666+942848*p^129*q^1668+9570720*p^127*q^1670+104329718*p^125*q^1672+1125451764 *p^123*q^1674+8158403438*p^121*q^1676+23359455696*p^119*q^1678+19758065480*p^ 117*q^1680+5270387927*p^115*q^1682+380825634*p^113*q^1684+9173654*p^111*q^1686+ 120790*p^109*q^1688+126*p^107*q^1690+928*p^132*q^1664+273236*p^130*q^1666+ 1767828*p^128*q^1668+33390342*p^126*q^1670+330351675*p^124*q^1672+3117528836*p^ 122*q^1674+15658467137*p^120*q^1676+25626314140*p^118*q^1678+12564046802*p^116* q^1680+1903194586*p^114*q^1682+75893305*p^112*q^1684+1376074*p^110*q^1686+10976 *p^108*q^1688+168*p^135*q^1660+16236*p^131*q^1664+1131338*p^129*q^1666+7450914* p^127*q^1668+96353578*p^125*q^1670+1003847962*p^123*q^1672+7603892655*p^121*q^ 1674+23434917378*p^119*q^1676+21562498221*p^117*q^1678+6257654624*p^115*q^1680+ 507369563*p^113*q^1682+12910698*p^111*q^1684+150816*p^109*q^1686+1992*p^107*q^ 1688+3*p^105*q^1690+1144*p^134*q^1660+198*p^132*q^1662+191408*p^130*q^1664+ 1741948*p^128*q^1666+30174856*p^126*q^1668+292114388*p^124*q^1670+2832871688*p^ 122*q^1672+15054997970*p^120*q^1674+26705122448*p^118*q^1676+14134734348*p^116* q^1678+2388520033*p^114*q^1680+106423936*p^112*q^1682+2010608*p^110*q^1684+ 18826*p^108*q^1686+4*p^135*q^1658+4*p^133*q^1660+11846*p^131*q^1662+1028100*p^ 129*q^1664+6291926*p^127*q^1666+87735096*p^125*q^1668+903098798*p^123*q^1670+ 7021736982*p^121*q^1672+23363816462*p^119*q^1674+23301839772*p^117*q^1676+ 7373370641*p^115*q^1678+678238468*p^113*q^1680+18929145*p^111*q^1682+255166*p^ 109*q^1684+2528*p^107*q^1686+1616*p^134*q^1658+60*p^132*q^1660+112542*p^130*q^ 1662+2211200*p^128*q^1664+25867508*p^126*q^1666+261607263*p^124*q^1668+ 2557642008*p^122*q^1670+14381870861*p^120*q^1672+27643169488*p^118*q^1674+ 15879743361*p^116*q^1676+2975479372*p^114*q^1678+150155288*p^112*q^1680+2935558 *p^110*q^1682+29590*p^108*q^1684+152*p^106*q^1686+4*p^135*q^1656+1988*p^133*q^ 1658+4096*p^131*q^1660+852852*p^129*q^1662+4935334*p^127*q^1664+80502199*p^125* q^1666+801587354*p^123*q^1668+6483685870*p^121*q^1670+23131751468*p^119*q^1672+ 25133654578*p^117*q^1674+8600988608*p^115*q^1676+894607310*p^113*q^1678+ 26322132*p^111*q^1680+372344*p^109*q^1682+1616*p^107*q^1684+260*p^134*q^1656+64 *p^132*q^1658+81874*p^130*q^1660+2435504*p^128*q^1662+22155917*p^126*q^1664+ 234031086*p^124*q^1666+2311582067*p^122*q^1668+13715294354*p^120*q^1670+ 28539682125*p^118*q^1672+17674209044*p^116*q^1674+3636425232*p^114*q^1676+ 203673914*p^112*q^1678+4200498*p^110*q^1680+36622*p^108*q^1682+594*p^106*q^1684 +6784*p^133*q^1656+1878*p^131*q^1658+631260*p^129*q^1660+4835864*p^127*q^1662+ 73741774*p^125*q^1664+719806217*p^123*q^1666+5972483052*p^121*q^1668+ 22780674146*p^119*q^1670+26801099106*p^117*q^1672+9923636933*p^115*q^1674+ 1165531724*p^113*q^1676+38921766*p^111*q^1678+637766*p^109*q^1680+5756*p^107*q^ 1682+164*p^134*q^1654+2076*p^132*q^1656+48626*p^130*q^1658+2476074*p^128*q^1660 +18122120*p^126*q^1662+209604185*p^124*q^1664+2080137274*p^122*q^1666+ 12914127654*p^120*q^1668+29230264684*p^118*q^1670+19645686061*p^116*q^1672+ 4439633370*p^114*q^1674+282866195*p^112*q^1676+6168886*p^110*q^1678+56274*p^108 *q^1680+50*p^106*q^1682+3484*p^133*q^1654+792*p^131*q^1656+423610*p^129*q^1658+ 4904768*p^127*q^1660+65792536*p^125*q^1662+640055904*p^123*q^1664+5475032726*p^ 121*q^1666+22399741960*p^119*q^1668+28572440606*p^117*q^1670+11403300262*p^115* q^1672+1492867087*p^113*q^1674+53025128*p^111*q^1676+833062*p^109*q^1678+4916*p ^107*q^1680+90*p^105*q^1682+8*p^134*q^1652+14540*p^132*q^1654+24162*p^130*q^ 1656+2333534*p^128*q^1658+15231024*p^126*q^1660+192469936*p^124*q^1662+ 1875353000*p^122*q^1664+12231334216*p^120*q^1666+29706572432*p^118*q^1668+ 21616483882*p^116*q^1670+5291784103*p^114*q^1672+380884990*p^112*q^1674+8982918 *p^110*q^1676+113552*p^108*q^1678+688*p^106*q^1680+1916*p^133*q^1652+3130*p^131 *q^1654+325828*p^129*q^1656+5171906*p^127*q^1658+58103124*p^125*q^1660+ 570468378*p^123*q^1662+5001912802*p^121*q^1664+21796655817*p^119*q^1666+ 30210867842*p^117*q^1668+12989002585*p^115*q^1670+1905779754*p^113*q^1672+ 77441299*p^111*q^1674+1344154*p^109*q^1676+6872*p^107*q^1678+18092*p^132*q^1652 +11372*p^130*q^1654+1770034*p^128*q^1656+13543388*p^126*q^1658+173731704*p^124* q^1660+1688154164*p^122*q^1662+11440156026*p^120*q^1664+30141614264*p^118*q^ 1666+23700078422*p^116*q^1668+6297809274*p^114*q^1670+510883868*p^112*q^1672+ 12387090*p^110*q^1674+160432*p^108*q^1676+808*p^106*q^1678+6*p^104*q^1680+540*p ^133*q^1650+17208*p^131*q^1652+197066*p^129*q^1654+5766332*p^127*q^1656+ 49306846*p^125*q^1658+509860444*p^123*q^1660+4559227613*p^121*q^1662+ 21165767796*p^119*q^1664+31805231980*p^117*q^1666+14738205168*p^115*q^1668+ 2387075633*p^113*q^1670+107520966*p^111*q^1672+1975446*p^109*q^1674+13648*p^107 *q^1676+32*p^105*q^1678+4*p^134*q^1648+12544*p^132*q^1650+13986*p^130*q^1652+ 1451698*p^128*q^1654+11768412*p^126*q^1656+159769562*p^124*q^1658+1515407891*p^ 122*q^1660+10723038164*p^120*q^1662+30351944501*p^118*q^1664+25846745112*p^116* q^1666+7389270024*p^114*q^1668+674052696*p^112*q^1670+18142795*p^110*q^1672+ 239324*p^108*q^1674+720*p^106*q^1676+16*p^133*q^1648+44796*p^131*q^1650+114136* p^129*q^1652+5370758*p^127*q^1654+43904266*p^125*q^1656+458348865*p^123*q^1658+ 4152716884*p^121*q^1660+20426818804*p^119*q^1662+33221325116*p^117*q^1664+ 16577770803*p^115*q^1666+2944996244*p^113*q^1668+150064586*p^111*q^1670+2747866 *p^109*q^1672+29190*p^107*q^1674+116*p^105*q^1676+7376*p^132*q^1648+20454*p^130 *q^1650+1086084*p^128*q^1652+12090786*p^126*q^1654+140564598*p^124*q^1656+ 1357630734*p^122*q^1658+9949549948*p^120*q^1660+30374880706*p^118*q^1662+ 28038040305*p^116*q^1664+8638231048*p^114*q^1666+895822874*p^112*q^1668+ 26936424*p^110*q^1670+424764*p^108*q^1672+984*p^106*q^1674+160*p^133*q^1646+ 48640*p^131*q^1648+79900*p^129*q^1650+4783928*p^127*q^1652+36475914*p^125*q^ 1654+415079262*p^123*q^1656+3770187295*p^121*q^1658+19624715238*p^119*q^1660+ 34612721291*p^117*q^1662+18621290718*p^115*q^1664+3603536256*p^113*q^1666+ 202024452*p^111*q^1668+3649278*p^109*q^1670+33202*p^107*q^1672+72*p^105*q^1674+ 1128*p^132*q^1646+59682*p^130*q^1648+737894*p^128*q^1650+12330438*p^126*q^1652+ 127376600*p^124*q^1654+1214593915*p^122*q^1656+9262458814*p^120*q^1658+ 30292165719*p^118*q^1660+30226520030*p^116*q^1662+9966167474*p^114*q^1664+ 1151935166*p^112*q^1666+38389354*p^110*q^1668+596172*p^108*q^1670+3758*p^106*q^ 1672+8*p^104*q^1674+8*p^133*q^1644+44552*p^131*q^1646+81636*p^129*q^1648+ 4116398*p^127*q^1650+32175942*p^125*q^1652+374707684*p^123*q^1654+3424902802*p^ 121*q^1656+18764513863*p^119*q^1658+35745654322*p^117*q^1660+20708614240*p^115* q^1662+4356775272*p^113*q^1664+279453882*p^111*q^1666+5907750*p^109*q^1668+ 77362*p^107*q^1670+36*p^105*q^1672+1984*p^132*q^1644+105768*p^130*q^1646+486878 *p^128*q^1648+12143958*p^126*q^1650+112031684*p^124*q^1652+1091032412*p^122*q^ 1654+8519272815*p^120*q^1656+29989205320*p^118*q^1658+32440207699*p^116*q^1660+ 11499503100*p^114*q^1662+1479014367*p^112*q^1664+54485418*p^110*q^1666+732906*p ^108*q^1668+4290*p^106*q^1670+4*p^104*q^1672+17400*p^131*q^1644+75978*p^129*q^ 1646+3284832*p^127*q^1648+29148816*p^125*q^1650+335570732*p^123*q^1652+ 3086003163*p^121*q^1654+17864465534*p^119*q^1656+36862854546*p^117*q^1658+ 23017896892*p^115*q^1660+5205657770*p^113*q^1662+375970996*p^111*q^1664+8416699 *p^109*q^1666+118760*p^107*q^1668+240*p^105*q^1670+476*p^132*q^1642+144646*p^ 130*q^1644+418318*p^128*q^1646+11490206*p^126*q^1648+98315594*p^124*q^1650+ 984538555*p^122*q^1652+7898452074*p^120*q^1654+29568067194*p^118*q^1656+ 34607158144*p^116*q^1658+13118165634*p^114*q^1660+1858000234*p^112*q^1662+ 74724942*p^110*q^1664+1100808*p^108*q^1666+9814*p^106*q^1668+13728*p^131*q^1642 +143904*p^129*q^1644+2438430*p^127*q^1646+28126788*p^125*q^1648+305555428*p^123 *q^1650+2787646060*p^121*q^1652+16906229894*p^119*q^1654+37623666202*p^117*q^ 1656+25362089084*p^115*q^1658+6164056048*p^113*q^1660+508294257*p^111*q^1662+ 13229806*p^109*q^1664+171762*p^107*q^1666+488*p^105*q^1668+28*p^132*q^1640+ 106818*p^130*q^1642+296710*p^128*q^1644+10372978*p^126*q^1646+84694938*p^124*q^ 1648+880477502*p^122*q^1650+7228554569*p^120*q^1652+28996065610*p^118*q^1654+ 36751636253*p^116*q^1656+14952926870*p^114*q^1658+2326530404*p^112*q^1660+ 104646102*p^110*q^1662+1582252*p^108*q^1664+19906*p^106*q^1666+4*p^104*q^1668+4 *p^133*q^1638+7672*p^131*q^1640+262020*p^129*q^1642+1903572*p^127*q^1644+ 27120644*p^125*q^1646+273624078*p^123*q^1648+2522226776*p^121*q^1650+ 15946796336*p^119*q^1652+38366889714*p^117*q^1654+27865974736*p^115*q^1656+ 7243088098*p^113*q^1658+663792060*p^111*q^1660+18285779*p^109*q^1662+193634*p^ 107*q^1664+910*p^105*q^1666+12*p^132*q^1638+72350*p^130*q^1640+271642*p^128*q^ 1642+8951336*p^126*q^1644+75101188*p^124*q^1646+792395935*p^122*q^1648+ 6629003628*p^120*q^1650+28299816452*p^118*q^1652+38791797248*p^116*q^1654+ 16898701238*p^114*q^1656+2856224488*p^112*q^1658+146193950*p^110*q^1660+2642246 *p^108*q^1662+36164*p^106*q^1664+24*p^104*q^1666+1444*p^131*q^1638+329336*p^129 *q^1640+1499094*p^127*q^1642+25802438*p^125*q^1644+245395897*p^123*q^1646+ 2275121616*p^121*q^1648+15020785571*p^119*q^1650+38772914212*p^117*q^1652+ 30425313222*p^115*q^1654+8445702822*p^113*q^1656+868665888*p^111*q^1658+ 25825060*p^109*q^1660+260322*p^107*q^1662+2508*p^105*q^1664+2*p^136*q^1632+144* p^132*q^1636+58956*p^130*q^1638+343376*p^128*q^1640+7289080*p^126*q^1642+ 68449303*p^124*q^1644+715039428*p^122*q^1646+6040409786*p^120*q^1648+ 27416069108*p^118*q^1650+40734873458*p^116*q^1652+19038892546*p^114*q^1654+ 3483060972*p^112*q^1656+203134152*p^110*q^1658+4160092*p^108*q^1660+46016*p^106 *q^1662+104*p^104*q^1664+804*p^131*q^1636+277082*p^129*q^1638+1128816*p^127*q^ 1640+24380244*p^125*q^1642+214516346*p^123*q^1644+2043727613*p^121*q^1646+ 14034290232*p^119*q^1648+39113181548*p^117*q^1650+33110307728*p^115*q^1652+ 9803784425*p^113*q^1654+1119597036*p^111*q^1656+35900353*p^109*q^1658+405238*p^ 107*q^1660+4618*p^105*q^1662+8*p^132*q^1634+20972*p^130*q^1636+570082*p^128*q^ 1638+6080044*p^126*q^1640+62407554*p^124*q^1642+648132496*p^122*q^1644+ 5533850954*p^120*q^1646+26521982748*p^118*q^1648+42565023902*p^116*q^1650+ 21320634027*p^114*q^1652+4175631490*p^112*q^1654+270971124*p^110*q^1656+5833768 *p^108*q^1658+38188*p^106*q^1660+164*p^104*q^1662+32*p^135*q^1630+1424*p^131*q^ 1634+266900*p^129*q^1636+913830*p^127*q^1638+22096758*p^125*q^1640+192997443*p^ 123*q^1642+1843226210*p^121*q^1644+13083783839*p^119*q^1646+39113008124*p^117*q ^1648+35746927520*p^115*q^1650+11283864412*p^113*q^1652+1426114228*p^111*q^1654 +53666388*p^109*q^1656+805351*p^107*q^1658+12608*p^105*q^1660+8*p^103*q^1662+ 12524*p^130*q^1634+673752*p^128*q^1636+4812100*p^126*q^1638+58604540*p^124*q^ 1640+579189210*p^122*q^1642+5016852486*p^120*q^1644+25492833192*p^118*q^1646+ 44203570128*p^116*q^1648+23815568266*p^114*q^1650+5000564480*p^112*q^1652+ 369166038*p^110*q^1654+8072553*p^108*q^1656+48374*p^106*q^1658+262*p^104*q^1660 +460*p^131*q^1632+156408*p^129*q^1634+876424*p^127*q^1636+19465720*p^125*q^1638 +168824276*p^123*q^1640+1662636823*p^121*q^1642+12140569134*p^119*q^1644+ 39006732281*p^117*q^1646+38554964158*p^115*q^1648+12948499668*p^113*q^1650+ 1781977226*p^111*q^1652+73016478*p^109*q^1654+1161686*p^107*q^1656+7038*p^105*q ^1658+210*p^134*q^1628+8752*p^130*q^1632+771840*p^128*q^1634+3944552*p^126*q^ 1636+55262826*p^124*q^1638+524495613*p^122*q^1640+4571204362*p^120*q^1642+ 24425444197*p^118*q^1644+45736564068*p^116*q^1646+26396370186*p^114*q^1648+ 5892891986*p^112*q^1650+487122932*p^110*q^1652+12049484*p^108*q^1654+121518*p^ 106*q^1656+2294*p^104*q^1658+32*p^131*q^1630+99804*p^129*q^1632+1157080*p^127*q ^1634+16702278*p^125*q^1636+152218514*p^123*q^1638+1493958124*p^121*q^1640+ 11263725702*p^119*q^1642+38562142676*p^117*q^1644+41204633599*p^115*q^1646+ 14776204810*p^113*q^1648+2217367409*p^111*q^1650+103572786*p^109*q^1652+1775615 *p^107*q^1654+4550*p^105*q^1656+8*p^103*q^1658+60*p^134*q^1626+6728*p^130*q^ 1630+665802*p^128*q^1632+2889040*p^126*q^1634+51392372*p^124*q^1636+467286168*p ^122*q^1638+4140753638*p^120*q^1640+23235794452*p^118*q^1642+47032775265*p^116* q^1644+29216757420*p^114*q^1646+6940070397*p^112*q^1648+642384710*p^110*q^1650+ 17486376*p^108*q^1652+188044*p^106*q^1654+2132*p^104*q^1656+728*p^133*q^1626+20 *p^131*q^1628+58008*p^129*q^1630+1472524*p^127*q^1632+14381158*p^125*q^1634+ 137286444*p^123*q^1636+1351748374*p^121*q^1638+10369125574*p^119*q^1640+ 38138547273*p^117*q^1642+43889776532*p^115*q^1644+16788011467*p^113*q^1646+ 2706082710*p^111*q^1648+142168400*p^109*q^1650+2389594*p^107*q^1652+13812*p^105 *q^1654+180*p^103*q^1656+4*p^132*q^1626+1672*p^130*q^1628+492032*p^128*q^1630+ 2593038*p^126*q^1632+46721260*p^124*q^1634+416762282*p^122*q^1636+3752816702*p^ 120*q^1638+22071543685*p^118*q^1640+48103092632*p^116*q^1642+32142793939*p^114* q^1644+8078432128*p^112*q^1646+830990875*p^110*q^1648+24946690*p^108*q^1650+ 335335*p^106*q^1652+340*p^104*q^1654+758*p^133*q^1624+46096*p^129*q^1628+ 1718986*p^127*q^1630+11665166*p^125*q^1632+127843750*p^123*q^1634+1220354908*p^ 121*q^1636+9573591852*p^119*q^1638+37353748924*p^117*q^1640+46544497573*p^115*q ^1642+18950768922*p^113*q^1644+3279996973*p^111*q^1646+194502824*p^109*q^1648+ 3714076*p^107*q^1650+24352*p^105*q^1652+574*p^103*q^1654+1430*p^132*q^1624+872* p^130*q^1626+351100*p^128*q^1628+2625160*p^126*q^1630+42440742*p^124*q^1632+ 369565676*p^122*q^1634+3388033756*p^120*q^1636+20812027914*p^118*q^1638+ 48906865460*p^116*q^1640+35180829490*p^114*q^1642+9402844632*p^112*q^1644+ 1069597014*p^110*q^1646+36628532*p^108*q^1648+485626*p^106*q^1650+1052*p^104*q^ 1652+56*p^133*q^1622+136*p^131*q^1624+25304*p^129*q^1626+1587748*p^127*q^1628+ 9320148*p^125*q^1630+116501272*p^123*q^1632+1099802282*p^121*q^1634+8772882710* p^119*q^1636+36516687980*p^117*q^1638+49155184968*p^115*q^1640+21395589224*p^ 113*q^1642+3933784070*p^111*q^1644+261167471*p^109*q^1646+5158320*p^107*q^1648+ 43236*p^105*q^1650+18*p^103*q^1652+3796*p^132*q^1622+84*p^130*q^1624+228600*p^ 128*q^1626+3116568*p^126*q^1628+37571102*p^124*q^1630+333315491*p^122*q^1632+ 3074320530*p^120*q^1634+19601474707*p^118*q^1636+49548180142*p^116*q^1638+ 38289630085*p^114*q^1640+10819154976*p^112*q^1642+1339526360*p^110*q^1644+ 50845046*p^108*q^1646+698288*p^106*q^1648+2748*p^104*q^1650+90*p^102*q^1652+56* p^133*q^1620+1592*p^131*q^1622+12732*p^129*q^1624+1422486*p^127*q^1626+7852560* p^125*q^1628+107890345*p^123*q^1630+987537010*p^121*q^1632+8051588899*p^119*q^ 1634+35447746618*p^117*q^1636+51486492753*p^115*q^1638+23992118484*p^113*q^1640 +4681547256*p^111*q^1642+354172212*p^109*q^1644+8263058*p^107*q^1646+94976*p^ 105*q^1648+32*p^103*q^1650+1248*p^132*q^1620+1336*p^130*q^1622+183252*p^128*q^ 1624+3486260*p^126*q^1626+31908044*p^124*q^1628+300853388*p^122*q^1630+ 2771637295*p^120*q^1632+18354382300*p^118*q^1634+49852128216*p^116*q^1636+ 41581820468*p^114*q^1638+12455565708*p^112*q^1640+1680900140*p^110*q^1642+ 71011951*p^108*q^1644+947950*p^106*q^1646+3166*p^104*q^1648+9636*p^131*q^1620+ 4104*p^129*q^1622+987692*p^127*q^1624+6749910*p^125*q^1626+99808938*p^123*q^ 1628+880878636*p^121*q^1630+7343282708*p^119*q^1632+34326011250*p^117*q^1634+ 53835345092*p^115*q^1636+26781000667*p^113*q^1638+5532068824*p^111*q^1640+ 464677730*p^109*q^1642+11690058*p^107*q^1644+124426*p^105*q^1646+272*p^103*q^ 1648+6*p^101*q^1650+788*p^132*q^1618+1360*p^130*q^1620+110012*p^128*q^1622+ 3766110*p^126*q^1624+27564794*p^124*q^1626+270740275*p^122*q^1628+2521676126*p^ 120*q^1630+17159370881*p^118*q^1632+50024086906*p^116*q^1634+44862668930*p^114* q^1636+14239435874*p^112*q^1638+2056658841*p^110*q^1640+98114816*p^108*q^1642+ 1543655*p^106*q^1644+13220*p^104*q^1646+8544*p^131*q^1618+6960*p^129*q^1620+ 832268*p^127*q^1622+6870950*p^125*q^1624+90164046*p^123*q^1626+798167392*p^121* q^1628+6701820824*p^119*q^1630+32970853896*p^117*q^1632+55853553862*p^115*q^ 1634+29750005248*p^113*q^1636+6484948011*p^111*q^1638+610108776*p^109*q^1640+ 17467200*p^107*q^1642+167706*p^105*q^1644+112*p^103*q^1646+132*p^132*q^1616+ 13220*p^130*q^1618+57304*p^128*q^1620+3268108*p^126*q^1622+22386069*p^124*q^ 1624+248439750*p^122*q^1626+2256148460*p^120*q^1628+15964692816*p^118*q^1630+ 49810359788*p^116*q^1632+48262622586*p^114*q^1634+16275797872*p^112*q^1636+ 2518269314*p^110*q^1638+136272890*p^108*q^1640+2374110*p^106*q^1642+21242*p^104 *q^1644+16*p^102*q^1646+5472*p^131*q^1616+6668*p^129*q^1618+630032*p^127*q^1620 +7517792*p^125*q^1622+81225592*p^123*q^1624+712202392*p^121*q^1626+6110234790*p ^119*q^1628+31644534678*p^117*q^1630+57773484504*p^115*q^1632+32955416221*p^113 *q^1634+7558729738*p^111*q^1636+780498377*p^109*q^1638+23747936*p^107*q^1640+ 232480*p^105*q^1642+1060*p^103*q^1644+26568*p^130*q^1616+34810*p^128*q^1618+ 2793850*p^126*q^1620+18977914*p^124*q^1622+227237692*p^122*q^1624+2050200884*p^ 120*q^1626+14805099110*p^118*q^1628+49468191762*p^116*q^1630+51547879052*p^114* q^1632+18457890114*p^112*q^1634+3028603694*p^110*q^1636+186366996*p^108*q^1638+ 3723372*p^106*q^1640+29166*p^104*q^1642+4*p^102*q^1644+2660*p^131*q^1614+10748* p^129*q^1616+415420*p^127*q^1618+7842500*p^125*q^1620+71511593*p^123*q^1622+ 641299914*p^121*q^1624+5558878085*p^119*q^1626+30165079510*p^117*q^1628+ 59386783476*p^115*q^1630+36309622688*p^113*q^1632+8775576626*p^111*q^1634+ 992999410*p^109*q^1636+34056235*p^107*q^1638+419340*p^105*q^1640+2746*p^103*q^ 1642+52*p^132*q^1612+23628*p^130*q^1614+46382*p^128*q^1616+2457640*p^126*q^1618 +17138664*p^124*q^1620+208660690*p^122*q^1622+1842339110*p^120*q^1624+ 13704963298*p^118*q^1626+48754016530*p^116*q^1628+54901169266*p^114*q^1630+ 20888336728*p^112*q^1632+3630343246*p^110*q^1634+251177731*p^108*q^1636+5475306 *p^106*q^1638+32994*p^104*q^1640+40*p^102*q^1642+200*p^131*q^1612+43016*p^129*q ^1614+235496*p^127*q^1616+7306416*p^125*q^1618+61108796*p^123*q^1620+576335846* p^121*q^1622+5032308186*p^119*q^1624+28658800185*p^117*q^1626+60820568906*p^115 *q^1628+39893536543*p^113*q^1630+10174287142*p^111*q^1632+1244273049*p^109*q^ 1634+48236450*p^107*q^1636+627133*p^105*q^1638+4358*p^103*q^1640+19624*p^130*q^ 1612+21248*p^128*q^1614+1939938*p^126*q^1616+16938948*p^124*q^1618+190881506*p^ 122*q^1620+1666192236*p^120*q^1622+12657177442*p^118*q^1624+47987033778*p^116*q ^1626+58142893508*p^114*q^1628+23502385682*p^112*q^1630+4281847728*p^110*q^1632 +330942184*p^108*q^1634+7398557*p^106*q^1636+60154*p^104*q^1638+202*p^102*q^ 1640+836*p^131*q^1610+60536*p^129*q^1612+230724*p^127*q^1614+6989644*p^125*q^ 1616+52234798*p^123*q^1618+525501822*p^121*q^1620+4581000911*p^119*q^1622+ 27099836290*p^117*q^1624+61820795322*p^115*q^1626+43527219326*p^113*q^1628+ 11708656071*p^111*q^1630+1545496676*p^109*q^1632+69369851*p^107*q^1634+1177976* p^105*q^1636+5676*p^103*q^1638+5292*p^130*q^1610+46540*p^128*q^1612+1353824*p^ 126*q^1614+16427296*p^124*q^1616+172365768*p^122*q^1618+1490756776*p^120*q^1620 +11621194248*p^118*q^1622+46814809486*p^116*q^1624+61333558836*p^114*q^1626+ 26439066666*p^112*q^1628+5067054364*p^110*q^1630+438288873*p^108*q^1632+ 10851420*p^106*q^1634+84069*p^104*q^1636+428*p^102*q^1638+96*p^131*q^1608+74974 *p^129*q^1610+150108*p^127*q^1612+6271286*p^125*q^1614+45100218*p^123*q^1616+ 475896420*p^121*q^1618+4145007998*p^119*q^1620+25590465848*p^117*q^1622+ 62734604260*p^115*q^1624+47407710818*p^113*q^1626+13429720386*p^111*q^1628+ 1885158640*p^109*q^1630+93214034*p^107*q^1632+1481364*p^105*q^1634+6974*p^103*q ^1636+6*p^101*q^1638+6032*p^130*q^1608+90144*p^128*q^1610+1034848*p^126*q^1612+ 16284760*p^124*q^1614+154386942*p^122*q^1616+1350390232*p^120*q^1618+ 10681743617*p^118*q^1620+45598921048*p^116*q^1622+64316871190*p^114*q^1624+ 29489342504*p^112*q^1626+5933152087*p^110*q^1628+563886574*p^108*q^1630+ 16391632*p^106*q^1632+194670*p^104*q^1634+964*p^102*q^1636+43628*p^129*q^1608+ 107840*p^127*q^1610+5364322*p^125*q^1612+40969196*p^123*q^1614+434723570*p^121* q^1616+3759199355*p^119*q^1618+23987743854*p^117*q^1620+63195180492*p^115*q^ 1622+51312344890*p^113*q^1624+15373389865*p^111*q^1626+2281909380*p^109*q^1628+ 130547454*p^107*q^1630+2210732*p^105*q^1632+10462*p^103*q^1634+16*p^101*q^1636+ 2440*p^130*q^1606+160546*p^128*q^1608+828872*p^126*q^1610+15454330*p^124*q^1612 +133864890*p^122*q^1614+1214583334*p^120*q^1616+9780557680*p^118*q^1618+ 44097615339*p^116*q^1620+67166627092*p^114*q^1622+32898333169*p^112*q^1624+ 6927628034*p^110*q^1626+724211062*p^108*q^1628+23089270*p^106*q^1630+289301*p^ 104*q^1632+888*p^102*q^1634+30362*p^129*q^1606+119634*p^127*q^1608+4163756*p^ 125*q^1610+38020222*p^123*q^1612+398892366*p^121*q^1614+3389664728*p^119*q^1616 +22473681252*p^117*q^1618+63385014680*p^115*q^1620+55418944132*p^113*q^1622+ 17513381452*p^111*q^1624+2741975441*p^109*q^1626+174463210*p^107*q^1628+3293246 *p^105*q^1630+19276*p^103*q^1632+120*p^101*q^1634+324*p^130*q^1604+170024*p^128 *q^1606+559296*p^126*q^1608+14923200*p^124*q^1610+117195706*p^122*q^1612+ 1095347700*p^120*q^1614+8943537419*p^118*q^1616+42614536720*p^116*q^1618+ 69781604666*p^114*q^1620+36422951184*p^112*q^1622+8046515709*p^110*q^1624+ 906922250*p^108*q^1626+32622431*p^106*q^1628+409806*p^104*q^1630+1104*p^102*q^ 1632+48*p^131*q^1602+23196*p^129*q^1604+204728*p^127*q^1606+3496272*p^125*q^ 1608+35840574*p^123*q^1610+362204588*p^121*q^1612+3082322051*p^119*q^1614+ 20952172482*p^117*q^1616+63227026074*p^115*q^1618+59410248598*p^113*q^1620+ 19882790428*p^111*q^1622+3261971642*p^109*q^1624+235753779*p^107*q^1626+5109384 *p^105*q^1628+50482*p^103*q^1630+120*p^101*q^1632+236*p^130*q^1602+124110*p^128 *q^1604+432132*p^126*q^1606+13218200*p^124*q^1608+103485632*p^122*q^1610+ 991861028*p^120*q^1612+8148692846*p^118*q^1614+40786902637*p^116*q^1616+ 72232632508*p^114*q^1618+40266766131*p^112*q^1620+9336962718*p^110*q^1622+ 1134594168*p^108*q^1624+46843096*p^106*q^1626+595072*p^104*q^1628+852*p^102*q^ 1630+8*p^100*q^1632+6118*p^129*q^1602+362336*p^127*q^1604+2595094*p^125*q^1606+ 34121020*p^123*q^1608+322987854*p^121*q^1610+2771726820*p^119*q^1612+ 19489886231*p^117*q^1614+62885216942*p^115*q^1616+63573207283*p^113*q^1618+ 22519752782*p^111*q^1620+3856696449*p^109*q^1622+308059998*p^107*q^1624+7053909 *p^105*q^1626+65720*p^103*q^1628+60*p^101*q^1630+632*p^130*q^1600+117300*p^128* q^1602+310366*p^126*q^1604+11626632*p^124*q^1606+92698572*p^122*q^1608+ 906951278*p^120*q^1610+7434720102*p^118*q^1612+39069765102*p^116*q^1614+ 74265875223*p^114*q^1616+44311798790*p^112*q^1618+10741210013*p^110*q^1620+ 1386442744*p^108*q^1622+64512318*p^106*q^1624+959166*p^104*q^1626+6196*p^102*q^ 1628+8*p^100*q^1630+4326*p^129*q^1600+358764*p^127*q^1602+2114752*p^125*q^1604+ 32968880*p^123*q^1606+289109668*p^121*q^1608+2511683988*p^119*q^1610+ 18058380064*p^117*q^1612+62077612317*p^115*q^1614+67614912800*p^113*q^1616+ 25338805153*p^111*q^1618+4549538754*p^109*q^1620+404529009*p^107*q^1622+ 10871526*p^105*q^1624+103729*p^103*q^1626+16*p^101*q^1628+88*p^130*q^1598+55771 *p^128*q^1600+531032*p^126*q^1602+9632962*p^124*q^1604+83707810*p^122*q^1606+ 822079930*p^120*q^1608+6759608772*p^118*q^1610+37109653721*p^116*q^1612+ 76065207684*p^114*q^1614+48574790989*p^112*q^1616+12403530300*p^110*q^1618+ 1690259091*p^108*q^1620+89559014*p^106*q^1622+1435236*p^104*q^1624+9084*p^102*q ^1626+3852*p^129*q^1598+378400*p^127*q^1600+1352818*p^125*q^1602+30691932*p^123 *q^1604+255354698*p^121*q^1606+2261316330*p^119*q^1608+16704237401*p^117*q^1610 +61118073148*p^115*q^1612+71694303997*p^113*q^1614+28511586198*p^111*q^1616+ 5320898585*p^109*q^1618+515490116*p^107*q^1620+15165249*p^105*q^1622+143450*p^ 103*q^1624+356*p^101*q^1626+4*p^130*q^1596+37576*p^128*q^1598+693982*p^126*q^ 1600+8163674*p^124*q^1602+77678504*p^122*q^1604+747936456*p^120*q^1606+ 6159779678*p^118*q^1608+35268207436*p^116*q^1610+77548140933*p^114*q^1612+ 52943826516*p^112*q^1614+14178418423*p^110*q^1616+2028478356*p^108*q^1618+ 121127673*p^106*q^1620+2143592*p^104*q^1622+16262*p^102*q^1624+2308*p^129*q^ 1596+282909*p^127*q^1598+1184124*p^125*q^1600+28203476*p^123*q^1602+227886004*p ^121*q^1604+2055902945*p^119*q^1606+15358165578*p^117*q^1608+59822469989*p^115* q^1610+75511888516*p^113*q^1612+31893189378*p^111*q^1614+6219389256*p^109*q^ 1616+655932017*p^107*q^1618+22462432*p^105*q^1620+274344*p^103*q^1622+1178*p^ 101*q^1624+21848*p^128*q^1596+836944*p^126*q^1598+6275580*p^124*q^1600+72445210 *p^122*q^1602+673945724*p^120*q^1604+5579023822*p^118*q^1606+33266668609*p^116* q^1608+78650837416*p^114*q^1610+57633979693*p^112*q^1612+16233273568*p^110*q^ 1614+2432519196*p^108*q^1616+163714054*p^106*q^1618+3121914*p^104*q^1620+17138* p^102*q^1622+464*p^129*q^1594+198378*p^127*q^1596+1274290*p^125*q^1598+24921542 *p^123*q^1600+203708676*p^121*q^1602+1857481220*p^119*q^1604+14161809141*p^117* q^1606+58251676638*p^115*q^1608+79393027179*p^113*q^1610+35577792292*p^111*q^ 1612+7220677025*p^109*q^1614+815180194*p^107*q^1616+31193366*p^105*q^1618+ 387804*p^103*q^1620+1740*p^101*q^1622+19152*p^128*q^1594+864680*p^126*q^1596+ 4668142*p^124*q^1598+68551874*p^122*q^1600+605947066*p^120*q^1602+5070893944*p^ 118*q^1604+31336338588*p^116*q^1606+79419880899*p^114*q^1608+62357806336*p^112* q^1610+18471871195*p^110*q^1612+2886010320*p^108*q^1614+215681249*p^106*q^1616+ 4756520*p^104*q^1618+42086*p^102*q^1620+122*p^100*q^1622+180*p^129*q^1592+ 134298*p^127*q^1594+1460444*p^125*q^1596+21972000*p^123*q^1598+182659252*p^121* q^1600+1692277719*p^119*q^1602+12978590080*p^117*q^1604+56579825055*p^115*q^ 1606+82772896394*p^113*q^1608+39509280562*p^111*q^1610+8375051526*p^109*q^1612+ 1003661541*p^107*q^1614+44230992*p^105*q^1616+577760*p^103*q^1618+2016*p^101*q^ 1620+44*p^130*q^1590+8662*p^128*q^1592+714912*p^126*q^1594+4041170*p^124*q^1596 +63702874*p^122*q^1598+544599229*p^120*q^1600+4597717078*p^118*q^1602+ 29332216629*p^116*q^1604+79718650858*p^114*q^1606+67281989570*p^112*q^1608+ 21007850908*p^110*q^1610+3410033905*p^108*q^1612+286231022*p^106*q^1614+7156071 *p^104*q^1616+70566*p^102*q^1618+80*p^100*q^1620+8*p^129*q^1590+94936*p^127*q^ 1592+1805133*p^125*q^1594+17381748*p^123*q^1596+166215310*p^121*q^1598+ 1527777210*p^119*q^1600+11893638520*p^117*q^1602+54624188268*p^115*q^1604+ 86285311230*p^113*q^1606+43760626156*p^111*q^1608+9686032477*p^109*q^1610+ 1227845112*p^107*q^1612+59878542*p^105*q^1614+811304*p^103*q^1616+4312*p^101*q^ 1618+6*p^99*q^1620+3796*p^128*q^1590+602954*p^126*q^1592+3269124*p^124*q^1594+ 59718706*p^122*q^1596+487929440*p^120*q^1598+4165761290*p^118*q^1600+ 27480286908*p^116*q^1602+79755792760*p^114*q^1604+72176349830*p^112*q^1606+ 23748654382*p^110*q^1608+3989421484*p^108*q^1610+362316689*p^106*q^1612+ 10286792*p^104*q^1614+101372*p^102*q^1616+244*p^100*q^1618+580*p^129*q^1588+ 72588*p^127*q^1590+1818880*p^125*q^1592+15034694*p^123*q^1594+153253564*p^121*q ^1596+1389565565*p^119*q^1598+10894529402*p^117*q^1600+52538552353*p^115*q^1602 +89156294222*p^113*q^1604+48261588455*p^111*q^1606+11148273556*p^109*q^1608+ 1487977511*p^107*q^1610+84266684*p^105*q^1612+1449432*p^103*q^1614+11332*p^101* q^1616+968*p^128*q^1588+401198*p^126*q^1590+3547279*p^124*q^1592+52323878*p^122 *q^1594+436024507*p^120*q^1596+3774790250*p^118*q^1598+25492868492*p^116*q^1600 +79277780428*p^114*q^1602+77235601543*p^112*q^1604+26818048854*p^110*q^1606+ 4698711297*p^108*q^1608+463738236*p^106*q^1610+14666002*p^104*q^1612+122492*p^ 102*q^1614+226*p^100*q^1616+80*p^129*q^1586+39276*p^127*q^1588+1798008*p^125*q^ 1590+11607490*p^123*q^1592+143198232*p^121*q^1594+1252146992*p^119*q^1596+ 9946681721*p^117*q^1598+50376227576*p^115*q^1600+92031392983*p^113*q^1602+ 53073204864*p^111*q^1604+12824965428*p^109*q^1606+1772866866*p^107*q^1608+ 112111215*p^105*q^1610+2034260*p^103*q^1612+16462*p^101*q^1614+16*p^99*q^1616+ 3388*p^128*q^1586+353024*p^126*q^1588+3770908*p^124*q^1590+46733628*p^122*q^ 1592+391865464*p^120*q^1594+3432495677*p^118*q^1596+23760546650*p^116*q^1598+ 78509212029*p^114*q^1600+82118150460*p^112*q^1602+30116574006*p^110*q^1604+ 5452749862*p^108*q^1606+580538331*p^106*q^1608+20798530*p^104*q^1610+235921*p^ 102*q^1612+1312*p^100*q^1614+17384*p^127*q^1586+1443022*p^125*q^1588+9795397*p^ 123*q^1590+132084674*p^121*q^1592+1133667365*p^119*q^1594+9059785444*p^117*q^ 1596+48009619882*p^115*q^1598+94290825520*p^113*q^1600+58108323489*p^111*q^1602 +14696422136*p^109*q^1604+2119195045*p^107*q^1606+150808798*p^105*q^1608+ 3236492*p^103*q^1610+23648*p^101*q^1612+4*p^99*q^1614+2040*p^128*q^1584+253808* p^126*q^1586+3999094*p^124*q^1588+39981946*p^122*q^1590+354161779*p^120*q^1592+ 3108340044*p^118*q^1594+21961526156*p^116*q^1596+77414081908*p^114*q^1598+ 87108982587*p^112*q^1600+33772440380*p^110*q^1602+6355659689*p^108*q^1604+ 718929368*p^106*q^1606+29273309*p^104*q^1608+348922*p^102*q^1610+1852*p^100*q^ 1612+14818*p^127*q^1584+1224128*p^125*q^1586+9009570*p^123*q^1588+121736810*p^ 121*q^1590+1019467106*p^119*q^1592+8262945651*p^117*q^1594+45584518006*p^115*q^ 1596+96303072985*p^113*q^1598+63433415678*p^111*q^1600+16793652588*p^109*q^1602 +2505338078*p^107*q^1604+196792166*p^105*q^1606+4607548*p^103*q^1608+29203*p^ 101*q^1610+80*p^99*q^1612+192*p^128*q^1582+149313*p^126*q^1584+3894134*p^124*q^ 1586+32845165*p^122*q^1588+323320942*p^120*q^1590+2817715417*p^118*q^1592+ 20352784934*p^116*q^1594+75932771571*p^114*q^1596+91976178352*p^112*q^1598+ 37709098670*p^110*q^1600+7365749418*p^108*q^1602+876818744*p^106*q^1604+ 41056756*p^104*q^1606+564024*p^102*q^1608+5644*p^100*q^1610+18232*p^127*q^1582+ 1068160*p^125*q^1584+8765268*p^123*q^1586+111805060*p^121*q^1588+918643652*p^ 119*q^1590+7523992350*p^117*q^1592+43165563311*p^115*q^1594+97732404736*p^113*q ^1596+68840614165*p^111*q^1598+19114359780*p^109*q^1600+2944179644*p^107*q^1602 +254492448*p^105*q^1604+6653605*p^103*q^1606+53432*p^101*q^1608+84*p^99*q^1610+ 160*p^128*q^1580+85008*p^126*q^1582+3451665*p^124*q^1584+27907530*p^122*q^1586+ 294579868*p^120*q^1588+2556151656*p^118*q^1590+18697714067*p^116*q^1592+ 74193012334*p^114*q^1594+96543254107*p^112*q^1596+42056931770*p^110*q^1598+ 8546939712*p^108*q^1600+1070556698*p^106*q^1602+57394483*p^104*q^1604+975340*p^ 102*q^1606+4413*p^100*q^1608+4*p^129*q^1578+4664*p^127*q^1580+793665*p^125*q^ 1582+8880500*p^123*q^1584+98033155*p^121*q^1586+825682330*p^119*q^1588+ 6837818822*p^117*q^1590+40695543860*p^115*q^1592+98934428508*p^113*q^1594+ 74640916658*p^111*q^1596+21704909719*p^109*q^1598+3452017360*p^107*q^1600+ 322988921*p^105*q^1602+9160994*p^103*q^1604+66270*p^101*q^1606+956*p^99*q^1608+ 16*p^128*q^1578+95520*p^126*q^1580+3194508*p^124*q^1582+23838654*p^122*q^1584+ 274998396*p^120*q^1586+2316033800*p^118*q^1588+17257346658*p^116*q^1590+ 72137413239*p^114*q^1592+101121302214*p^112*q^1594+46565372072*p^110*q^1596+ 9843095006*p^108*q^1598+1279447150*p^106*q^1600+76897226*p^104*q^1602+1394460*p ^102*q^1604+6292*p^100*q^1606+40*p^129*q^1576+3340*p^127*q^1578+515532*p^125*q^ 1580+8386225*p^123*q^1582+86579462*p^121*q^1584+743650048*p^119*q^1586+ 6217921596*p^117*q^1588+38259527220*p^115*q^1590+99448934954*p^113*q^1592+ 80384282186*p^111*q^1594+24586693242*p^109*q^1596+4041979286*p^107*q^1598+ 407998218*p^105*q^1600+14174106*p^103*q^1602+169502*p^101*q^1604+1288*p^99*q^ 1606+136*p^128*q^1576+49268*p^126*q^1578+2846996*p^124*q^1580+22236572*p^122*q^ 1582+250114393*p^120*q^1584+2097574980*p^118*q^1586+15805554687*p^116*q^1588+ 69759962110*p^114*q^1590+105290610172*p^112*q^1592+51613626054*p^110*q^1594+ 11342832497*p^108*q^1596+1526444424*p^106*q^1598+103489759*p^104*q^1600+1848392 *p^102*q^1602+5670*p^100*q^1604+72*p^98*q^1606+760*p^127*q^1576+416060*p^125*q^ 1578+7881982*p^123*q^1580+72560611*p^121*q^1582+673595336*p^119*q^1584+ 5643092691*p^117*q^1586+35797168564*p^115*q^1588+99758500817*p^113*q^1590+ 86426808338*p^111*q^1592+27757388450*p^109*q^1594+4716775452*p^107*q^1596+ 507030638*p^105*q^1598+19520410*p^103*q^1600+267896*p^101*q^1602+460*p^99*q^ 1604+548*p^128*q^1574+32312*p^126*q^1576+2270028*p^124*q^1578+20764297*p^122*q^ 1580+231353178*p^120*q^1582+1895604431*p^118*q^1584+14545032136*p^116*q^1586+ 67341022358*p^114*q^1588+109082238804*p^112*q^1590+56841320659*p^110*q^1592+ 13002703106*p^108*q^1594+1801435837*p^106*q^1596+134097544*p^104*q^1598+2850814 *p^102*q^1600+18322*p^100*q^1602+329*p^98*q^1604+1684*p^127*q^1574+307516*p^125 *q^1576+7530243*p^123*q^1578+63608870*p^121*q^1580+613543192*p^119*q^1582+ 5134188534*p^117*q^1584+33443804419*p^115*q^1586+99287111418*p^113*q^1588+ 92404199676*p^111*q^1590+31227784974*p^109*q^1592+5489839082*p^107*q^1594+ 624548010*p^105*q^1596+28523516*p^103*q^1598+391584*p^101*q^1600+416*p^99*q^ 1602+72*p^128*q^1572+14484*p^126*q^1574+1717944*p^124*q^1576+18994576*p^122*q^ 1578+205092112*p^120*q^1580+1706752086*p^118*q^1582+13250021739*p^116*q^1584+ 64620883270*p^114*q^1586+112671610245*p^112*q^1588+62472442188*p^110*q^1590+ 14926201929*p^108*q^1592+2132431022*p^106*q^1594+175025310*p^104*q^1596+4164402 *p^102*q^1598+41924*p^100*q^1600+16*p^98*q^1602+3520*p^127*q^1572+204240*p^125* q^1574+6998270*p^123*q^1576+57023786*p^121*q^1578+562487210*p^119*q^1580+ 4665581568*p^117*q^1582+31140112734*p^115*q^1584+98677260702*p^113*q^1586+ 98512496252*p^111*q^1588+35046365974*p^109*q^1590+6360673880*p^107*q^1592+ 753079663*p^105*q^1594+38282676*p^103*q^1596+503096*p^101*q^1598+976*p^99*q^ 1600+48*p^97*q^1602+4*p^128*q^1570+12212*p^126*q^1572+1392398*p^124*q^1574+ 17784837*p^122*q^1576+180718940*p^120*q^1578+1540690368*p^118*q^1580+ 12141573768*p^116*q^1582+61725480594*p^114*q^1584+115785250344*p^112*q^1586+ 68358275929*p^110*q^1588+17020503852*p^108*q^1590+2505010420*p^106*q^1592+ 225065644*p^104*q^1594+6396506*p^102*q^1596+72410*p^100*q^1598+16*p^98*q^1600+ 1720*p^127*q^1570+135324*p^125*q^1572+5929810*p^123*q^1574+51028964*p^121*q^ 1576+518477473*p^119*q^1578+4237942762*p^117*q^1580+28952230357*p^115*q^1582+ 97399354210*p^113*q^1584+104486489198*p^111*q^1586+39231332698*p^109*q^1588+ 7368462118*p^107*q^1590+905810754*p^105*q^1592+51784852*p^103*q^1594+761946*p^ 101*q^1596+4424*p^99*q^1598+8*p^128*q^1568+18236*p^126*q^1570+998532*p^124*q^ 1572+17092516*p^122*q^1574+159617902*p^120*q^1576+1392715868*p^118*q^1578+ 11054865641*p^116*q^1580+58774786026*p^114*q^1582+118249352871*p^112*q^1584+ 74633917030*p^110*q^1586+19382760103*p^108*q^1588+2938568346*p^106*q^1590+ 285317758*p^104*q^1592+9655080*p^102*q^1594+108688*p^100*q^1596+24*p^98*q^1598+ 3*p^96*q^1600+248*p^127*q^1568+77160*p^125*q^1570+5022046*p^123*q^1572+45442809 *p^121*q^1574+468039400*p^119*q^1576+3834240379*p^117*q^1578+26770977734*p^115* q^1580+95901129170*p^113*q^1582+110525979124*p^111*q^1584+43797437918*p^109*q^ 1586+8531344204*p^107*q^1588+1081679453*p^105*q^1590+68827798*p^103*q^1592+ 1095576*p^101*q^1594+8344*p^99*q^1596+14432*p^126*q^1568+781152*p^124*q^1570+ 16033242*p^122*q^1572+142247420*p^120*q^1574+1266794027*p^118*q^1576+ 10123224940*p^116*q^1578+55802445621*p^114*q^1580+120506811372*p^112*q^1582+ 81020478278*p^110*q^1584+21988654960*p^108*q^1586+3417136122*p^106*q^1588+ 351310316*p^104*q^1590+13245597*p^102*q^1592+125982*p^100*q^1594+216*p^98*q^ 1596+300*p^127*q^1566+95448*p^125*q^1568+3965984*p^123*q^1570+41841342*p^121*q^ 1572+424121358*p^119*q^1574+3476766538*p^117*q^1576+24764610019*p^115*q^1578+ 93746660844*p^113*q^1580+116198400560*p^111*q^1582+48683051378*p^109*q^1584+ 9829418526*p^107*q^1586+1288110756*p^105*q^1588+93253995*p^103*q^1590+2036484*p ^101*q^1592+24822*p^99*q^1594+5112*p^126*q^1566+469418*p^124*q^1568+14596532*p^ 122*q^1570+126074442*p^120*q^1572+1152338460*p^118*q^1574+9195309947*p^116*q^ 1576+52714789310*p^114*q^1578+122065828751*p^112*q^1580+87879677158*p^110*q^ 1582+24958127531*p^108*q^1584+4000428104*p^106*q^1586+433441308*p^104*q^1588+ 18281962*p^102*q^1590+145160*p^100*q^1592+460*p^98*q^1594+20*p^127*q^1564+76056 *p^125*q^1566+3271030*p^123*q^1568+38510364*p^121*q^1570+377698370*p^119*q^1572 +3142572048*p^117*q^1574+22797963894*p^115*q^1576+91478489945*p^113*q^1578+ 121843434478*p^111*q^1580+54009397372*p^109*q^1582+11290987312*p^107*q^1584+ 1512824999*p^105*q^1586+119791778*p^103*q^1588+2921987*p^101*q^1590+25150*p^99* q^1592+4192*p^126*q^1564+447000*p^124*q^1566+12712533*p^122*q^1568+112731884*p^ 120*q^1570+1055172147*p^118*q^1572+8398500968*p^116*q^1574+49715458512*p^114*q^ 1576+123158077012*p^112*q^1578+94760041042*p^110*q^1580+28151411590*p^108*q^ 1582+4643089901*p^106*q^1584+527131608*p^104*q^1586+25255956*p^102*q^1588+ 315042*p^100*q^1590+3488*p^98*q^1592+8*p^127*q^1562+48508*p^125*q^1564+2349218* p^123*q^1566+36523550*p^121*q^1568+340386084*p^119*q^1570+2843007518*p^117*q^ 1572+21011494746*p^115*q^1574+88640505020*p^113*q^1576+126992292143*p^111*q^ 1578+59688346108*p^109*q^1580+12963351513*p^107*q^1582+1788935876*p^105*q^1584+ 153892945*p^103*q^1586+4378774*p^101*q^1588+17446*p^99*q^1590+8*p^97*q^1592+36* p^128*q^1560+1152*p^126*q^1562+364762*p^124*q^1564+10884784*p^122*q^1566+ 99882360*p^120*q^1568+954368560*p^118*q^1570+7631033688*p^116*q^1572+ 46643492282*p^114*q^1574+123659997329*p^112*q^1576+101944488916*p^110*q^1578+ 31768306295*p^108*q^1580+5401169672*p^106*q^1582+633500637*p^104*q^1584+ 35297854*p^102*q^1586+538598*p^100*q^1588+6464*p^98*q^1590+34812*p^125*q^1562+ 1854102*p^123*q^1564+33611416*p^121*q^1566+304388652*p^119*q^1568+2583852527*p^ 117*q^1570+19254012906*p^115*q^1572+85788526157*p^113*q^1574+132020348528*p^111 *q^1576+65797467336*p^109*q^1578+14819543590*p^107*q^1580+2089552002*p^105*q^ 1582+195014030*p^103*q^1584+5801561*p^101*q^1586+30284*p^99*q^1588+200*p^97*q^ 1590+4*p^128*q^1558+384*p^126*q^1560+275096*p^124*q^1562+9045516*p^122*q^1564+ 90907750*p^120*q^1566+863915236*p^118*q^1568+6943317600*p^116*q^1570+ 43681823982*p^114*q^1572+123637226504*p^112*q^1574+109150332291*p^110*q^1576+ 35662609864*p^108*q^1578+6254032781*p^106*q^1580+756867574*p^104*q^1582+ 46765309*p^102*q^1584+902242*p^100*q^1586+2652*p^98*q^1588+476*p^127*q^1558+ 18918*p^125*q^1560+1633334*p^123*q^1562+30352760*p^121*q^1564+272824842*p^119*q ^1566+2349957840*p^117*q^1568+17709432562*p^115*q^1570+82440364342*p^113*q^1572 +136474350203*p^111*q^1574+72260478652*p^109*q^1576+16917423510*p^107*q^1578+ 2442295656*p^105*q^1580+242852206*p^103*q^1582+8707250*p^101*q^1584+77022*p^99* q^1586+1230*p^97*q^1588+172*p^126*q^1558+214340*p^124*q^1560+7014908*p^122*q^ 1562+83866316*p^120*q^1564+781876478*p^118*q^1566+6289131212*p^116*q^1568+ 40747495464*p^114*q^1570+122854888487*p^112*q^1572+116490060852*p^110*q^1574+ 40030975142*p^108*q^1576+7243673262*p^106*q^1578+906003396*p^104*q^1580+ 62684640*p^102*q^1582+1258271*p^100*q^1584+1488*p^98*q^1586+168*p^127*q^1556+ 6664*p^125*q^1558+1216816*p^123*q^1560+27299978*p^121*q^1562+240690604*p^119*q^ 1564+2130831832*p^117*q^1566+16187507802*p^115*q^1568+79157224372*p^113*q^1570+ 140564353142*p^111*q^1572+79204769286*p^109*q^1574+19263656134*p^107*q^1576+ 2853773529*p^105*q^1578+295542312*p^103*q^1580+12172280*p^101*q^1582+137980*p^ 99*q^1584+588*p^97*q^1586+2528*p^126*q^1556+155234*p^124*q^1558+6146948*p^122*q ^1560+76209992*p^120*q^1562+708870143*p^118*q^1564+5726173796*p^116*q^1566+ 37932446619*p^114*q^1568+121844588264*p^112*q^1570+123709584404*p^110*q^1572+ 44670925002*p^108*q^1574+8341570090*p^106*q^1576+1059930788*p^104*q^1578+ 81431522*p^102*q^1580+1757008*p^100*q^1582+7316*p^98*q^1584+128*p^96*q^1586+10* p^127*q^1554+4520*p^125*q^1556+1030730*p^123*q^1558+23062206*p^121*q^1560+ 218688997*p^119*q^1562+1932730014*p^117*q^1564+14837202603*p^115*q^1566+ 75476332706*p^113*q^1568+144049729641*p^111*q^1570+86317746504*p^109*q^1572+ 21903228626*p^107*q^1574+3327582888*p^105*q^1576+365609742*p^103*q^1578+ 17180662*p^101*q^1580+265322*p^99*q^1582+28*p^97*q^1584+2400*p^126*q^1554+77156 *p^124*q^1556+4852656*p^122*q^1558+70693801*p^120*q^1560+635012048*p^118*q^1562 +5196001534*p^116*q^1564+35181386324*p^114*q^1566+120016311133*p^112*q^1568+ 131040364874*p^110*q^1570+49895616169*p^108*q^1572+9610923152*p^106*q^1574+ 1254308736*p^104*q^1576+104024910*p^102*q^1578+2675840*p^100*q^1580+13290*p^98* q^1582+104*p^96*q^1584+8*p^127*q^1552+7596*p^125*q^1554+828226*p^123*q^1556+ 19748866*p^121*q^1558+194999836*p^119*q^1560+1757600220*p^117*q^1562+ 13511972804*p^115*q^1564+71870589083*p^113*q^1566+147096122820*p^111*q^1568+ 94051732516*p^109*q^1570+24788559830*p^107*q^1572+3872041188*p^105*q^1574+ 437717982*p^103*q^1576+23343345*p^101*q^1578+307366*p^99*q^1580+352*p^97*q^1582 +6*p^95*q^1584+490*p^126*q^1552+51744*p^124*q^1554+4075818*p^122*q^1556+ 63890108*p^120*q^1558+572530085*p^118*q^1560+4723199734*p^116*q^1562+ 32632919350*p^114*q^1564+117892295478*p^112*q^1566+138074962783*p^110*q^1568+ 55378569926*p^108*q^1570+11030783212*p^106*q^1572+1461327164*p^104*q^1574+ 131142816*p^102*q^1576+3983520*p^100*q^1578+43762*p^98*q^1580+14*p^127*q^1550+ 15348*p^125*q^1552+568318*p^123*q^1554+16883052*p^121*q^1556+177298387*p^119*q^ 1558+1595456934*p^117*q^1560+12368541841*p^115*q^1562+68022005666*p^113*q^1564+ 149242870183*p^111*q^1566+101873340886*p^109*q^1568+28056754365*p^107*q^1570+ 4497046778*p^105*q^1572+526832121*p^103*q^1574+31848754*p^101*q^1576+502678*p^ 99*q^1578+748*p^97*q^1580+8*p^95*q^1582+244*p^126*q^1550+29708*p^124*q^1552+ 3419140*p^122*q^1554+56426068*p^120*q^1556+513295092*p^118*q^1558+4276854290*p^ 116*q^1560+30121960514*p^114*q^1562+115145490966*p^112*q^1564+145037824600*p^ 110*q^1566+61475083305*p^108*q^1568+12662490252*p^106*q^1570+1718218733*p^104*q ^1572+164545552*p^102*q^1574+5749386*p^100*q^1576+54928*p^98*q^1578+8*p^96*q^ 1580+20*p^127*q^1548+7408*p^125*q^1550+385112*p^123*q^1552+14110828*p^121*q^ 1554+162360024*p^119*q^1556+1443625504*p^117*q^1558+11261776298*p^115*q^1560+ 64349683612*p^113*q^1562+151102697804*p^111*q^1564+110034627540*p^109*q^1566+ 31660787936*p^107*q^1568+5205626061*p^105*q^1570+622229386*p^103*q^1572+ 41381712*p^101*q^1574+744210*p^99*q^1576+4056*p^97*q^1578+198*p^126*q^1548+ 56316*p^124*q^1550+2767912*p^122*q^1552+49961974*p^120*q^1554+458946442*p^118*q ^1556+3898730954*p^116*q^1558+27763739191*p^114*q^1560+112181142570*p^112*q^ 1562+151554141057*p^110*q^1564+67920787232*p^108*q^1566+14441830662*p^106*q^ 1568+2003938542*p^104*q^1570+203451458*p^102*q^1572+8183334*p^100*q^1574+82968* p^98*q^1576+24*p^96*q^1578+4*p^127*q^1546+3680*p^125*q^1548+230080*p^123*q^1550 +12080814*p^121*q^1552+147089758*p^119*q^1554+1310316964*p^117*q^1556+ 10262750818*p^115*q^1558+60520380240*p^113*q^1560+152056467417*p^111*q^1562+ 118479713460*p^109*q^1564+35587999421*p^107*q^1566+6038841864*p^105*q^1568+ 733452802*p^103*q^1570+53835024*p^101*q^1572+1212078*p^99*q^1574+9768*p^97*q^ 1576+316*p^126*q^1546+52710*p^124*q^1548+2119564*p^122*q^1550+43409840*p^120*q^ 1552+415715762*p^118*q^1554+3529601374*p^116*q^1556+25588827778*p^114*q^1558+ 108496120140*p^112*q^1560+157842685050*p^110*q^1562+74877909934*p^108*q^1564+ 16522728490*p^106*q^1566+2337599678*p^104*q^1568+250306300*p^102*q^1570+ 11596050*p^100*q^1572+114194*p^98*q^1574+116*p^96*q^1576+8*p^127*q^1544+1904*p^ 125*q^1546+189184*p^123*q^1548+10203200*p^121*q^1550+132607720*p^119*q^1552+ 1176856046*p^117*q^1554+9335920604*p^115*q^1556+56800338337*p^113*q^1558+ 152443489230*p^111*q^1560+127220190538*p^109*q^1562+40007189698*p^107*q^1564+ 6959115661*p^105*q^1566+865996958*p^103*q^1568+68996668*p^101*q^1570+1722876*p^ 99*q^1572+11640*p^97*q^1574+78*p^126*q^1544+32672*p^124*q^1546+1488244*p^122*q^ 1548+37828706*p^120*q^1550+374680544*p^118*q^1552+3222513554*p^116*q^1554+ 23500124577*p^114*q^1556+104970110204*p^112*q^1558+163549678198*p^110*q^1560+ 82230023408*p^108*q^1562+18769388022*p^106*q^1564+2719676982*p^104*q^1566+ 297203242*p^102*q^1568+15293496*p^100*q^1570+198433*p^98*q^1572+1252*p^96*q^ 1574+32*p^127*q^1542+2542*p^125*q^1544+233762*p^123*q^1546+8707384*p^121*q^1548 +119118833*p^119*q^1550+1064718536*p^117*q^1552+8507896868*p^115*q^1554+ 53123067968*p^113*q^1556+151985258382*p^111*q^1558+135716931084*p^109*q^1560+ 44793641430*p^107*q^1562+8021230022*p^105*q^1564+1013235075*p^103*q^1566+ 89918362*p^101*q^1568+2808334*p^99*q^1570+17480*p^97*q^1572+172*p^126*q^1542+ 18302*p^124*q^1544+955008*p^122*q^1546+32447249*p^120*q^1548+338215410*p^118*q^ 1550+2911860652*p^116*q^1552+21549208392*p^114*q^1554+100690287266*p^112*q^1556 +168949828186*p^110*q^1558+90225401724*p^108*q^1560+21371889128*p^106*q^1562+ 3174684644*p^104*q^1564+359819778*p^102*q^1566+20229890*p^100*q^1568+312224*p^ 98*q^1570+1396*p^96*q^1572+1230*p^125*q^1542+184830*p^123*q^1544+6982770*p^121* q^1546+106280434*p^119*q^1548+959366584*p^117*q^1550+7728636976*p^115*q^1552+ 49628325890*p^113*q^1554+151101993142*p^111*q^1556+144674566737*p^109*q^1558+ 50014302168*p^107*q^1560+9218084426*p^105*q^1562+1182113930*p^103*q^1564+ 110219716*p^101*q^1566+3831840*p^99*q^1568+21605*p^97*q^1570+76*p^95*q^1572+446 *p^126*q^1540+14576*p^124*q^1542+917414*p^122*q^1544+28454344*p^120*q^1546+ 307322595*p^118*q^1548+2648693114*p^116*q^1550+19761866827*p^114*q^1552+ 96535337564*p^112*q^1554+173546188977*p^110*q^1556+98472915948*p^108*q^1558+ 24198382267*p^106*q^1560+3676993432*p^104*q^1562+424793090*p^102*q^1564+ 27573184*p^100*q^1566+527486*p^98*q^1568+2562*p^96*q^1570+1568*p^125*q^1540+ 134936*p^123*q^1542+4995842*p^121*q^1544+93725360*p^119*q^1546+863317272*p^117* q^1548+7042910512*p^115*q^1550+46098059976*p^113*q^1552+149325781687*p^111*q^ 1554+153316720656*p^109*q^1556+55748266631*p^107*q^1558+10588570816*p^105*q^ 1560+1384962456*p^103*q^1562+137610706*p^101*q^1564+5277212*p^99*q^1566+49780*p ^97*q^1568+136*p^95*q^1570+64*p^126*q^1538+12130*p^124*q^1540+785718*p^122*q^ 1542+24980628*p^120*q^1544+276186266*p^118*q^1546+2397539196*p^116*q^1548+ 18076420674*p^114*q^1550+92017360833*p^112*q^1552+177573900226*p^110*q^1554+ 107296135760*p^108*q^1556+27419914968*p^106*q^1558+4268558132*p^104*q^1560+ 500893952*p^102*q^1562+35894579*p^100*q^1564+842418*p^98*q^1566+1725*p^96*q^ 1568+4*p^127*q^1536+2908*p^125*q^1538+83542*p^123*q^1540+3933010*p^121*q^1542+ 82060588*p^119*q^1544+781048553*p^117*q^1546+6393740384*p^115*q^1548+ 42820455632*p^113*q^1550+147055021682*p^111*q^1552+162076797855*p^109*q^1554+ 61991207396*p^107*q^1556+12113443113*p^105*q^1558+1615505086*p^103*q^1560+ 168007381*p^101*q^1562+7220438*p^99*q^1564+72280*p^97*q^1566+276*p^95*q^1568+ 9620*p^124*q^1538+684684*p^122*q^1540+20334094*p^120*q^1542+250621200*p^118*q^ 1544+2169441338*p^116*q^1546+16517876655*p^114*q^1548+87612582458*p^112*q^1550+ 180996028146*p^110*q^1552+116374127776*p^108*q^1554+30926701722*p^106*q^1556+ 4935950008*p^104*q^1558+588360007*p^102*q^1560+45879630*p^100*q^1562+1199612*p^ 98*q^1564+5360*p^96*q^1566+8*p^94*q^1568+1496*p^125*q^1536+77862*p^123*q^1538+ 3223172*p^121*q^1540+73837272*p^119*q^1542+702755326*p^117*q^1544+5836676449*p^ 115*q^1546+39650668560*p^113*q^1548+144110949437*p^111*q^1550+170391563340*p^ 109*q^1552+68699501475*p^107*q^1554+13837583966*p^105*q^1556+1883044646*p^103*q ^1558+201858772*p^101*q^1560+10136009*p^99*q^1562+151284*p^97*q^1564+180*p^95*q ^1566+96*p^126*q^1534+13950*p^124*q^1536+482892*p^122*q^1538+16154414*p^120*q^ 1540+221774492*p^118*q^1542+1962517255*p^116*q^1544+15069414960*p^114*q^1546+ 82736490121*p^112*q^1548+183571179872*p^110*q^1550+126031740089*p^108*q^1552+ 34882526374*p^106*q^1554+5717768433*p^104*q^1556+690171636*p^102*q^1558+ 59806046*p^100*q^1560+1718514*p^98*q^1562+9150*p^96*q^1564+16*p^94*q^1566+204*p ^125*q^1534+55316*p^123*q^1536+2735384*p^121*q^1538+65122584*p^119*q^1540+ 637205494*p^117*q^1542+5278790138*p^115*q^1544+36695070903*p^113*q^1546+ 140737065856*p^111*q^1548+178768626737*p^109*q^1550+76005786314*p^107*q^1552+ 15797426991*p^105*q^1554+2188402198*p^103*q^1556+241102653*p^101*q^1558+ 13086754*p^99*q^1560+214826*p^97*q^1562+212*p^95*q^1564+8*p^126*q^1532+12332*p^ 124*q^1534+389238*p^122*q^1536+13180418*p^120*q^1538+198262858*p^118*q^1540+ 1774525642*p^116*q^1542+13786384396*p^114*q^1544+78264562108*p^112*q^1546+ 185240604489*p^110*q^1548+135795286198*p^108*q^1550+39185997758*p^106*q^1552+ 6566686272*p^104*q^1554+804995280*p^102*q^1556+73937782*p^100*q^1558+2466242*p^ 98*q^1560+18760*p^96*q^1562+14*p^94*q^1564+916*p^125*q^1532+61412*p^123*q^1534+ 2286162*p^121*q^1536+55516674*p^119*q^1538+577408722*p^117*q^1540+4814608991*p^ 115*q^1542+33761436182*p^113*q^1544+136887344255*p^111*q^1546+186380628142*p^ 109*q^1548+83799691874*p^107*q^1550+17987042170*p^105*q^1552+2555185257*p^103*q ^1554+286655518*p^101*q^1556+18094357*p^99*q^1558+377412*p^97*q^1560+1244*p^95* q^1562+4630*p^124*q^1532+308172*p^122*q^1534+10501262*p^120*q^1536+179328038*p^ 118*q^1538+1595977332*p^116*q^1540+12551432722*p^114*q^1542+73551603102*p^112*q ^1544+186230844574*p^110*q^1546+145886130647*p^108*q^1548+44019150442*p^106*q^ 1550+7570742329*p^104*q^1552+941741684*p^102*q^1554+91711124*p^100*q^1556+ 3376412*p^98*q^1558+29224*p^96*q^1560+2*p^94*q^1562+296*p^125*q^1530+60632*p^ 123*q^1532+1757434*p^121*q^1534+47062516*p^119*q^1536+513004732*p^117*q^1538+ 4360976704*p^115*q^1540+31119293681*p^113*q^1542+132427537754*p^111*q^1544+ 194091412863*p^109*q^1546+92218921514*p^107*q^1548+20437678159*p^105*q^1550+ 2965838972*p^103*q^1552+336317332*p^101*q^1554+23523392*p^99*q^1556+509762*p^97 *q^1558+1218*p^95*q^1560+5538*p^124*q^1530+267888*p^122*q^1532+9002924*p^120*q^ 1534+160302788*p^118*q^1536+1457244326*p^116*q^1538+11449888696*p^114*q^1540+ 69111770928*p^112*q^1542+186516581381*p^110*q^1544+156161276306*p^108*q^1546+ 49170492432*p^106*q^1548+8677233340*p^104*q^1550+1093391689*p^102*q^1552+ 111432850*p^100*q^1554+4588738*p^98*q^1556+65708*p^96*q^1558+92*p^94*q^1560+20* p^125*q^1528+41968*p^123*q^1530+1489932*p^121*q^1532+38616820*p^119*q^1534+ 464800952*p^117*q^1536+3950437738*p^115*q^1538+28600109396*p^113*q^1540+ 127614132937*p^111*q^1542+200586315612*p^109*q^1544+101123729383*p^107*q^1546+ 23215529500*p^105*q^1548+3441215102*p^103*q^1550+397869142*p^101*q^1552+ 30959641*p^99*q^1554+801202*p^97*q^1556+3300*p^95*q^1558+3892*p^124*q^1528+ 248976*p^122*q^1530+7202064*p^120*q^1532+141458872*p^118*q^1534+1306591886*p^ 116*q^1536+10443651384*p^114*q^1538+64488638078*p^112*q^1540+185842845192*p^110 *q^1542+166748916314*p^108*q^1544+55029131030*p^106*q^1546+9949073585*p^104*q^ 1548+1280798234*p^102*q^1550+134368627*p^100*q^1552+6334412*p^98*q^1554+92190*p ^96*q^1556+12*p^94*q^1558+12*p^125*q^1526+30634*p^123*q^1528+1181340*p^121*q^ 1530+32521206*p^119*q^1532+418359460*p^117*q^1534+3584349970*p^115*q^1536+ 26247721163*p^113*q^1538+122670686700*p^111*q^1540+206797799470*p^109*q^1542+ 110597941190*p^107*q^1544+26262952156*p^105*q^1546+3979329298*p^103*q^1548+ 460990598*p^101*q^1550+38926222*p^99*q^1552+1086984*p^97*q^1554+7220*p^95*q^ 1556+4*p^126*q^1524+876*p^124*q^1526+219836*p^122*q^1528+6123642*p^120*q^1530+ 122990010*p^118*q^1532+1179975482*p^116*q^1534+9491431727*p^114*q^1536+ 60306428026*p^112*q^1538+184343019536*p^110*q^1540+177183099354*p^108*q^1542+ 61268834547*p^106*q^1544+11385846860*p^104*q^1546+1492585454*p^102*q^1548+ 160953342*p^100*q^1550+8751109*p^98*q^1552+148828*p^96*q^1554+300*p^94*q^1556+ 27660*p^123*q^1526+1021268*p^121*q^1528+26820124*p^119*q^1530+378806382*p^117*q ^1532+3252999588*p^115*q^1534+24074352906*p^113*q^1536+117396053048*p^111*q^ 1538+212250104802*p^109*q^1540+120462908369*p^107*q^1542+29688876882*p^105*q^ 1544+4593443827*p^103*q^1546+538314580*p^101*q^1548+48659670*p^99*q^1550+ 1481518*p^97*q^1552+15526*p^95*q^1554+36*p^126*q^1522+524*p^124*q^1524+171728*p ^122*q^1526+5004313*p^120*q^1528+105991716*p^118*q^1530+1061916350*p^116*q^1532 +8641513716*p^114*q^1534+55954301560*p^112*q^1536+182078873608*p^110*q^1538+ 187639251494*p^108*q^1540+68185673730*p^106*q^1542+13029889413*p^104*q^1544+ 1742395916*p^102*q^1546+191862553*p^100*q^1548+11955234*p^98*q^1550+262250*p^96 *q^1552+424*p^94*q^1554+52*p^125*q^1522+12528*p^123*q^1524+889016*p^121*q^1526+ 22350078*p^119*q^1528+338428587*p^117*q^1530+2937734164*p^115*q^1532+ 22045023255*p^113*q^1534+111808012960*p^111*q^1536+217173910388*p^109*q^1538+ 131079536860*p^107*q^1540+33485440461*p^105*q^1542+5289278344*p^103*q^1544+ 628000067*p^101*q^1546+59861660*p^99*q^1548+2000044*p^97*q^1550+16476*p^95*q^ 1552+16*p^93*q^1554+16*p^126*q^1520+40*p^124*q^1522+140634*p^122*q^1524+4175290 *p^120*q^1526+90420230*p^118*q^1528+962129872*p^116*q^1530+7858517543*p^114*q^ 1532+52066835110*p^112*q^1534+179135975169*p^110*q^1536+197919419158*p^108*q^ 1538+75562876012*p^106*q^1540+14833392452*p^104*q^1542+2023177733*p^102*q^1544+ 222729104*p^100*q^1546+15360802*p^98*q^1548+337636*p^96*q^1550+2020*p^94*q^1552 +476*p^125*q^1520+8236*p^123*q^1522+810448*p^121*q^1524+19084843*p^119*q^1526+ 302223104*p^117*q^1528+2663197543*p^115*q^1530+20168506032*p^113*q^1532+ 106303580023*p^111*q^1534+220543183856*p^109*q^1536+142006445436*p^107*q^1538+ 37692137804*p^105*q^1540+6095388594*p^103*q^1542+733977192*p^101*q^1544+ 74520596*p^99*q^1546+3078332*p^97*q^1548+53110*p^95*q^1550+12*p^93*q^1552+8*p^ 126*q^1518+300*p^124*q^1520+95806*p^122*q^1522+3416742*p^120*q^1524+75586818*p^ 118*q^1526+868296413*p^116*q^1528+7139917986*p^114*q^1530+48098617425*p^112*q^ 1532+175407201752*p^110*q^1534+208038171376*p^108*q^1536+83687998858*p^106*q^ 1538+16928190438*p^104*q^1540+2353298146*p^102*q^1542+262265487*p^100*q^1544+ 19742864*p^98*q^1546+409518*p^96*q^1548+764*p^94*q^1550+276*p^125*q^1518+2076*p ^123*q^1520+632552*p^121*q^1522+15913804*p^119*q^1524+267320918*p^117*q^1526+ 2396703654*p^115*q^1528+18432317959*p^113*q^1530+100595053828*p^111*q^1532+ 223842034987*p^109*q^1534+153369151000*p^107*q^1536+42383512936*p^105*q^1538+ 6992690978*p^103*q^1540+855426681*p^101*q^1542+88572680*p^99*q^1544+4182579*p^ 97*q^1546+77060*p^95*q^1548+124*p^93*q^1550+2612*p^124*q^1518+70376*p^122*q^ 1520+3161566*p^120*q^1522+65187949*p^118*q^1524+783154792*p^116*q^1526+ 6495452924*p^114*q^1528+44596804040*p^112*q^1530+171091665621*p^110*q^1532+ 217714993784*p^108*q^1534+92255580811*p^106*q^1536+19207939256*p^104*q^1538+ 2718978289*p^102*q^1540+303920196*p^100*q^1542+25400629*p^98*q^1544+620476*p^96 *q^1546+6610*p^94*q^1548+156*p^125*q^1516+1616*p^123*q^1518+506074*p^121*q^1520 +13102182*p^119*q^1522+232135078*p^117*q^1524+2176241120*p^115*q^1526+ 16813166288*p^113*q^1528+94869722777*p^111*q^1530+225554879108*p^109*q^1532+ 165148814007*p^107*q^1534+47529152724*p^105*q^1536+8036192150*p^103*q^1538+ 1002737260*p^101*q^1540+106399186*p^99*q^1542+5671192*p^97*q^1544+99008*p^95*q^ 1546+16*p^93*q^1548+2616*p^124*q^1516+34540*p^122*q^1518+2647246*p^120*q^1520+ 55186746*p^118*q^1522+707459492*p^116*q^1524+5882772892*p^114*q^1526+ 41051805536*p^112*q^1528+166245737998*p^110*q^1530+227008625143*p^108*q^1532+ 101662476634*p^106*q^1534+21825047339*p^104*q^1536+3150628688*p^102*q^1538+ 354421397*p^100*q^1540+31998076*p^98*q^1542+950856*p^96*q^1544+14710*p^94*q^ 1546+28*p^125*q^1514+8264*p^123*q^1516+398708*p^121*q^1518+11254320*p^119*q^ 1520+201444930*p^117*q^1522+1963408558*p^115*q^1524+15361531823*p^113*q^1526+ 89247075956*p^111*q^1528+226568360516*p^109*q^1530+177258736624*p^107*q^1532+ 53208850397*p^105*q^1534+9198817652*p^103*q^1536+1165257590*p^101*q^1538+ 125027628*p^99*q^1540+7499354*p^97*q^1542+104612*p^95*q^1544+330*p^93*q^1546+4* p^126*q^1512+1692*p^124*q^1514+14332*p^122*q^1516+2176036*p^120*q^1518+46826226 *p^118*q^1520+633891440*p^116*q^1522+5331679101*p^114*q^1524+37865782832*p^112* q^1526+160796475084*p^110*q^1528+235761436568*p^108*q^1530+111559193470*p^106*q ^1532+24698821620*p^104*q^1534+3634032985*p^102*q^1536+413337004*p^100*q^1538+ 39325656*p^98*q^1540+1379440*p^96*q^1542+23652*p^94*q^1544+8*p^125*q^1512+14148 *p^123*q^1514+288496*p^121*q^1516+9974268*p^119*q^1518+175158654*p^117*q^1520+ 1778727075*p^115*q^1522+14009400424*p^113*q^1524+83788163367*p^111*q^1526+ 226535025356*p^109*q^1528+189348119635*p^107*q^1530+59398335928*p^105*q^1532+ 10530056271*p^103*q^1534+1357750384*p^101*q^1536+145533988*p^99*q^1538+9978888* p^97*q^1540+172843*p^95*q^1542+1992*p^93*q^1544+684*p^124*q^1512+23988*p^122*q^ 1514+1784848*p^120*q^1516+39063058*p^118*q^1518+562734336*p^116*q^1520+ 4835158702*p^114*q^1522+34744144258*p^112*q^1524+154872484664*p^110*q^1526+ 243730200640*p^108*q^1528+122261038152*p^106*q^1530+27989769481*p^104*q^1532+ 4195385522*p^102*q^1534+485167878*p^100*q^1536+48947902*p^98*q^1538+1951231*p^ 96*q^1540+26234*p^94*q^1542+88*p^125*q^1510+11564*p^123*q^1512+140774*p^121*q^ 1514+8339058*p^119*q^1516+150578682*p^117*q^1518+1606703996*p^115*q^1520+ 12752736876*p^113*q^1522+78254828754*p^111*q^1524+225796405917*p^109*q^1526+ 202045378734*p^107*q^1528+66230506735*p^105*q^1530+12012044738*p^103*q^1532+ 1576021436*p^101*q^1534+169221958*p^99*q^1536+12527334*p^97*q^1538+262704*p^95* q^1540+3308*p^93*q^1542+216*p^124*q^1510+46166*p^122*q^1512+1507410*p^120*q^ 1514+34158962*p^118*q^1516+500001940*p^116*q^1518+4384993061*p^114*q^1520+ 32003945132*p^112*q^1522+148696536806*p^110*q^1524+250977712492*p^108*q^1526+ 133355442351*p^106*q^1528+31548781882*p^104*q^1530+4819851437*p^102*q^1532+ 563649176*p^100*q^1534+57750057*p^98*q^1536+2703534*p^96*q^1538+25324*p^94*q^ 1540+140*p^92*q^1542+8*p^125*q^1508+7612*p^123*q^1510+116880*p^121*q^1512+ 7087038*p^119*q^1514+128933364*p^117*q^1516+1452823169*p^115*q^1518+11594436728 *p^113*q^1520+73087623242*p^111*q^1522+223468693742*p^109*q^1524+214415867201*p ^107*q^1526+73702268410*p^105*q^1528+13714746052*p^103*q^1530+1834542206*p^101* q^1532+197784122*p^99*q^1534+16841786*p^97*q^1536+428352*p^95*q^1538+8826*p^93* q^1540+776*p^124*q^1508+51882*p^122*q^1510+998398*p^120*q^1512+29343712*p^118*q ^1514+440858448*p^116*q^1516+3967797220*p^114*q^1518+29289906567*p^112*q^1520+ 142213919146*p^110*q^1522+257269194542*p^108*q^1524+145341096940*p^106*q^1526+ 35603956430*p^104*q^1528+5551940932*p^102*q^1530+658228870*p^100*q^1532+ 68661438*p^98*q^1534+3451996*p^96*q^1536+38012*p^94*q^1538+156*p^92*q^1540+3176 *p^123*q^1508+128222*p^121*q^1510+5974948*p^119*q^1512+110188128*p^117*q^1514+ 1302517886*p^115*q^1516+10554647244*p^113*q^1518+67920178594*p^111*q^1520+ 220942902656*p^109*q^1522+226854094216*p^107*q^1524+81796481967*p^105*q^1526+ 15613067724*p^103*q^1528+2120550455*p^101*q^1530+230350568*p^99*q^1532+20773821 *p^97*q^1534+644354*p^95*q^1536+4864*p^93*q^1538+280*p^124*q^1506+48220*p^122*q ^1508+706744*p^120*q^1510+25489100*p^118*q^1512+386770900*p^116*q^1514+ 3603789598*p^114*q^1516+26876902508*p^112*q^1518+135561344034*p^110*q^1520+ 262894846126*p^108*q^1522+157599494983*p^106*q^1524+40034433836*p^104*q^1526+ 6360171728*p^102*q^1528+765913362*p^100*q^1530+79571242*p^98*q^1532+4758322*p^ 96*q^1534+67944*p^94*q^1536+1850*p^92*q^1538+4272*p^123*q^1506+163246*p^121*q^ 1508+4939426*p^119*q^1510+95754650*p^117*q^1512+1174659922*p^115*q^1514+ 9583726832*p^113*q^1516+63115194108*p^111*q^1518+216867324276*p^109*q^1520+ 239014453387*p^107*q^1522+90544367750*p^105*q^1524+17754456175*p^103*q^1526+ 2455177536*p^101*q^1528+270511447*p^99*q^1530+25992858*p^97*q^1532+884616*p^95* q^1534+4324*p^93*q^1536+24*p^124*q^1504+28544*p^122*q^1506+548862*p^120*q^1508+ 21270402*p^118*q^1510+335364703*p^116*q^1512+3251038380*p^114*q^1514+ 24544402088*p^112*q^1516+128639760010*p^110*q^1518+267275241172*p^108*q^1520+ 170852476806*p^106*q^1522+45007796647*p^104*q^1524+7305207538*p^102*q^1526+ 897659811*p^100*q^1528+92495884*p^98*q^1530+6378844*p^96*q^1532+127212*p^94*q^ 1534+1832*p^92*q^1536+3436*p^123*q^1504+190306*p^121*q^1506+3670810*p^119*q^ 1508+83494158*p^117*q^1510+1051385616*p^115*q^1512+8728163275*p^113*q^1514+ 58422557592*p^111*q^1516+212482375289*p^109*q^1518+251076327426*p^107*q^1520+ 100041314176*p^105*q^1522+20141517070*p^103*q^1524+2830647156*p^101*q^1526+ 311278768*p^99*q^1528+31308721*p^97*q^1530+1125804*p^95*q^1532+6528*p^93*q^1534 +156*p^91*q^1536+12*p^124*q^1502+21940*p^122*q^1504+492566*p^120*q^1506+ 18717124*p^118*q^1508+291271350*p^116*q^1510+2941505689*p^114*q^1512+ 22452507238*p^112*q^1514+121811743198*p^110*q^1516+270442523762*p^108*q^1518+ 184210834888*p^106*q^1520+50467311096*p^104*q^1522+8354936505*p^102*q^1524+ 1041354966*p^100*q^1526+109837483*p^98*q^1528+8335876*p^96*q^1530+202528*p^94*q ^1532+316*p^92*q^1534+24*p^125*q^1500+844*p^123*q^1502+163398*p^121*q^1504+ 2845484*p^119*q^1506+71536868*p^117*q^1508+936511247*p^115*q^1510+7921208978*p^ 113*q^1512+54127104350*p^111*q^1514+206942952554*p^109*q^1516+262489032703*p^ 107*q^1518+110239338910*p^105*q^1520+22832046630*p^103*q^1522+3263154574*p^101* q^1524+364357538*p^99*q^1526+36048952*p^97*q^1528+1639894*p^95*q^1530+18076*p^ 93*q^1532+552*p^91*q^1534+22860*p^122*q^1502+563996*p^120*q^1504+15438956*p^118 *q^1506+255466842*p^116*q^1508+2659100942*p^114*q^1510+20471524490*p^112*q^1512 +114856240946*p^110*q^1514+272697507422*p^108*q^1516+198081010824*p^106*q^1518+ 56550500739*p^104*q^1520+9567530106*p^102*q^1522+1215044158*p^100*q^1524+ 127592430*p^98*q^1526+11245560*p^96*q^1528+261484*p^94*q^1530+330*p^92*q^1532+ 408*p^123*q^1500+115330*p^121*q^1502+2091484*p^119*q^1504+61773087*p^117*q^1506 +824895292*p^115*q^1508+7178260862*p^113*q^1510+49825587032*p^111*q^1512+ 201194172593*p^109*q^1514+273566520424*p^107*q^1516+121299611620*p^105*q^1518+ 25843867686*p^103*q^1520+3756625335*p^101*q^1522+425370136*p^99*q^1524+42780747 *p^97*q^1526+2113814*p^95*q^1528+35300*p^93*q^1530+8*p^91*q^1532+320*p^124*q^ 1498+10952*p^122*q^1500+613340*p^120*q^1502+12526444*p^118*q^1504+222690532*p^ 116*q^1506+2406183596*p^114*q^1508+18732088604*p^112*q^1510+108086433588*p^110* q^1512+273837012076*p^108*q^1514+212418060032*p^106*q^1516+63049809062*p^104*q^ 1518+10898325004*p^102*q^1520+1403116578*p^100*q^1522+146285280*p^98*q^1524+ 13244020*p^96*q^1526+368079*p^94*q^1528+1482*p^92*q^1530+90*p^90*q^1532+60*p^ 123*q^1498+111248*p^121*q^1500+1863152*p^119*q^1502+54258028*p^117*q^1504+ 730656633*p^115*q^1506+6513751686*p^113*q^1508+45965575563*p^111*q^1510+ 194199429274*p^109*q^1512+283747470097*p^107*q^1514+132888031400*p^105*q^1516+ 29237403497*p^103*q^1518+4328282070*p^101*q^1520+498281912*p^99*q^1522+51485854 *p^97*q^1524+3312994*p^95*q^1526+59020*p^93*q^1528+8*p^91*q^1530+40*p^124*q^ 1496+6048*p^122*q^1498+512280*p^120*q^1500+9738862*p^118*q^1502+192094622*p^116 *q^1504+2162253804*p^114*q^1506+17022710552*p^112*q^1508+101375357820*p^110*q^ 1510+273411515525*p^108*q^1512+227132003332*p^106*q^1514+70460168810*p^104*q^ 1516+12442633228*p^102*q^1518+1627229085*p^100*q^1520+171209654*p^98*q^1522+ 15904274*p^96*q^1524+439544*p^94*q^1526+4182*p^92*q^1528+2*p^125*q^1494+1744*p^ 123*q^1496+77540*p^121*q^1498+1840550*p^119*q^1500+45934934*p^117*q^1502+ 643868160*p^115*q^1504+5900789287*p^113*q^1506+42240871456*p^111*q^1508+ 187331061659*p^109*q^1510+293374046722*p^107*q^1512+145451188221*p^105*q^1514+ 32963170136*p^103*q^1516+4960060264*p^101*q^1518+581176192*p^99*q^1520+58921393 *p^97*q^1522+4261348*p^95*q^1524+81018*p^93*q^1526+44*p^91*q^1528+6*p^89*q^1530 +1836*p^122*q^1496+465744*p^120*q^1498+7781212*p^118*q^1500+169518356*p^116*q^ 1502+1938862575*p^114*q^1504+15565685762*p^112*q^1506+94796132818*p^110*q^1508+ 272373234348*p^108*q^1510+241475924802*p^106*q^1512+78352090302*p^104*q^1514+ 14143206249*p^102*q^1516+1880705096*p^100*q^1518+197584670*p^98*q^1520+19361792 *p^96*q^1522+727782*p^94*q^1524+9392*p^92*q^1526+8*p^125*q^1492+1000*p^123*q^ 1494+53020*p^121*q^1496+1795084*p^119*q^1498+38478670*p^117*q^1500+563558851*p^ 115*q^1502+5354261384*p^113*q^1504+38806242825*p^111*q^1506+179607566666*p^109* q^1508+301779104229*p^107*q^1510+158653725560*p^105*q^1512+37165148047*p^103*q^ 1514+5700803270*p^101*q^1516+678191435*p^99*q^1518+69443088*p^97*q^1520+5410935 *p^95*q^1522+90708*p^93*q^1524+304*p^91*q^1526+26*p^124*q^1492+5580*p^122*q^ 1494+379900*p^120*q^1496+6440354*p^118*q^1498+147899649*p^116*q^1500+1735746398 *p^114*q^1502+14112381920*p^112*q^1504+88467632414*p^110*q^1506+269653177089*p^ 108*q^1508+256586639250*p^106*q^1510+87028112662*p^104*q^1512+16108313292*p^102 *q^1514+2168919621*p^100*q^1516+231886560*p^98*q^1518+22815772*p^96*q^1520+ 1128800*p^94*q^1522+18047*p^92*q^1524+14*p^125*q^1490+88*p^123*q^1492+25816*p^ 121*q^1494+1661380*p^119*q^1496+31382972*p^117*q^1498+496455444*p^115*q^1500+ 4839592708*p^113*q^1502+35591589530*p^111*q^1504+171819619413*p^109*q^1506+ 309514943690*p^107*q^1508+172624437210*p^105*q^1510+41829472332*p^103*q^1512+ 6520006376*p^101*q^1514+789535642*p^99*q^1516+79195410*p^97*q^1518+6742874*p^95 *q^1520+112914*p^93*q^1522+748*p^91*q^1524+104*p^124*q^1490+7972*p^122*q^1492+ 300606*p^120*q^1494+5784432*p^118*q^1496+128506970*p^116*q^1498+1544127689*p^ 114*q^1500+12869626976*p^112*q^1502+82282100296*p^110*q^1504+266258551894*p^108 *q^1506+271104456079*p^106*q^1508+96445110214*p^104*q^1510+18257690248*p^102*q^ 1512+2500845842*p^100*q^1514+270003972*p^98*q^1516+27393866*p^96*q^1518+1505478 *p^94*q^1520+21628*p^92*q^1522+8*p^90*q^1524+208*p^123*q^1490+18776*p^121*q^ 1492+1498794*p^119*q^1494+25917778*p^117*q^1496+437057169*p^115*q^1498+ 4384966280*p^113*q^1500+32640561812*p^111*q^1502+163653249734*p^109*q^1504+ 315587434980*p^107*q^1506+187171533756*p^105*q^1508+46993955697*p^103*q^1510+ 7464149580*p^101*q^1512+914687030*p^99*q^1514+91984448*p^97*q^1516+8095364*p^95 *q^1518+235752*p^93*q^1520+3152*p^91*q^1522+215*p^124*q^1488+2144*p^122*q^1490+ 209474*p^120*q^1492+5379956*p^118*q^1494+109524892*p^116*q^1496+1369894036*p^ 114*q^1498+11670970624*p^112*q^1500+76400188168*p^110*q^1502+261417515640*p^108 *q^1504+285668730890*p^106*q^1506+106762036017*p^104*q^1508+20734211810*p^102*q ^1510+2888021341*p^100*q^1512+318725172*p^98*q^1514+31920970*p^96*q^1516+ 2115580*p^94*q^1518+14180*p^92*q^1520+16*p^90*q^1522+4*p^125*q^1486+572*p^123*q ^1488+34408*p^121*q^1490+1239880*p^119*q^1492+21007356*p^117*q^1494+385273756*p ^115*q^1496+3953457298*p^113*q^1498+29811064072*p^111*q^1500+155517490254*p^109 *q^1502+321096892720*p^107*q^1504+202520038944*p^105*q^1506+52698668470*p^103*q ^1508+8521823648*p^101*q^1510+1058179502*p^99*q^1512+105466388*p^97*q^1514+ 10012886*p^95*q^1516+320272*p^93*q^1518+5068*p^91*q^1520+16*p^124*q^1486+1842*p ^122*q^1488+115342*p^120*q^1490+5017246*p^118*q^1492+93708672*p^116*q^1494+ 1217216826*p^114*q^1496+10618623276*p^112*q^1498+70801722538*p^110*q^1500+ 256048304540*p^108*q^1502+299734268575*p^106*q^1504+117693914798*p^104*q^1506+ 23458346089*p^102*q^1508+3311255592*p^100*q^1510+371455082*p^98*q^1512+36772210 *p^96*q^1514+2546114*p^94*q^1516+34716*p^92*q^1518+304*p^90*q^1520+1521*p^123*q ^1486+19756*p^121*q^1488+1091964*p^119*q^1490+18235726*p^117*q^1492+337481364*p ^115*q^1494+3557556754*p^113*q^1496+27326843619*p^111*q^1498+146963445774*p^109 *q^1500+324746220252*p^107*q^1502+218307367662*p^105*q^1504+59002272570*p^103*q ^1506+9723738822*p^101*q^1508+1229384020*p^99*q^1510+123560202*p^97*q^1512+ 12183224*p^95*q^1514+548418*p^93*q^1516+2728*p^91*q^1518+94*p^124*q^1484+1956*p ^122*q^1486+128112*p^120*q^1488+4321556*p^118*q^1490+78045604*p^116*q^1492+ 1078595272*p^114*q^1494+9626565016*p^112*q^1496+65433296836*p^110*q^1498+ 249212049303*p^108*q^1500+313506705364*p^106*q^1502+129749843029*p^104*q^1504+ 26588190254*p^102*q^1506+3813482162*p^100*q^1508+432802728*p^98*q^1510+42770958 *p^96*q^1512+3283474*p^94*q^1514+53676*p^92*q^1516+944*p^90*q^1518+544*p^123*q^ 1484+14250*p^121*q^1486+720608*p^119*q^1488+16241606*p^117*q^1490+294317326*p^ 115*q^1492+3186904474*p^113*q^1494+24886995440*p^111*q^1496+138900762349*p^109* q^1498+327287442994*p^107*q^1500+234840336016*p^105*q^1502+65955682490*p^103*q^ 1504+11067097635*p^101*q^1506+1417088308*p^99*q^1508+144917595*p^97*q^1510+ 14084774*p^95*q^1512+685770*p^93*q^1514+2828*p^91*q^1516+8*p^89*q^1518+8*p^124* q^1482+6272*p^122*q^1484+104744*p^120*q^1486+4053770*p^118*q^1488+65337340*p^ 116*q^1490+959044534*p^114*q^1492+8759604600*p^112*q^1494+60434856844*p^110*q^ 1496+242262288872*p^108*q^1498+326236974850*p^106*q^1500+142377377260*p^104*q^ 1502+30000121872*p^102*q^1504+4365590194*p^100*q^1506+502866977*p^98*q^1508+ 47874050*p^96*q^1510+4242354*p^94*q^1512+107636*p^92*q^1514+680*p^90*q^1516+854 *p^123*q^1482+8872*p^121*q^1484+581176*p^119*q^1486+14204436*p^117*q^1488+ 256552918*p^115*q^1490+2855773576*p^113*q^1492+22723700918*p^111*q^1494+ 130450831138*p^109*q^1496+328410239234*p^107*q^1498+251367347086*p^105*q^1500+ 73638372794*p^103*q^1502+12611402512*p^101*q^1504+1643205232*p^99*q^1506+ 170194930*p^97*q^1508+17270218*p^95*q^1510+917314*p^93*q^1512+7292*p^91*q^1514+ 120*p^89*q^1516+5300*p^122*q^1482+79764*p^120*q^1484+3322890*p^118*q^1486+ 55713972*p^116*q^1488+843427420*p^114*q^1490+7911261799*p^112*q^1492+ 55678629408*p^110*q^1494+233967122113*p^108*q^1496+338702453802*p^106*q^1498+ 156108306424*p^104*q^1500+33870650702*p^102*q^1502+5009108103*p^100*q^1504+ 584911310*p^98*q^1506+55857912*p^96*q^1508+4947004*p^94*q^1510+159460*p^92*q^ 1512+76*p^90*q^1514+300*p^123*q^1480+16965*p^121*q^1482+477468*p^119*q^1484+ 12738382*p^117*q^1486+219702642*p^115*q^1488+2558394649*p^113*q^1490+ 20702575204*p^111*q^1492+122447715502*p^109*q^1494+328292788772*p^107*q^1496+ 268781641942*p^105*q^1498+81954701766*p^103*q^1500+14342580110*p^101*q^1502+ 1887650160*p^99*q^1504+198744114*p^97*q^1506+19265438*p^95*q^1508+1290844*p^93* q^1510+14262*p^91*q^1512+112*p^89*q^1514+4792*p^122*q^1480+58052*p^120*q^1482+ 2644028*p^118*q^1484+48026982*p^116*q^1486+748619831*p^114*q^1488+7160251052*p^ 112*q^1490+51210641640*p^110*q^1492+225524243754*p^108*q^1494+349798056880*p^ 106*q^1496+170584407216*p^104*q^1498+38143410799*p^102*q^1500+5714469666*p^100* q^1502+680815915*p^98*q^1504+64857114*p^96*q^1506+6300172*p^94*q^1508+201274*p^ 92*q^1510+664*p^90*q^1512+8*p^88*q^1514+22*p^123*q^1478+25840*p^121*q^1480+ 359520*p^119*q^1482+11697306*p^117*q^1484+187541662*p^115*q^1486+2283896934*p^ 113*q^1488+18896816991*p^111*q^1490+114471832172*p^109*q^1492+326397485661*p^ 107*q^1494+285905253634*p^105*q^1496+91147899753*p^103*q^1498+16283132160*p^101 *q^1500+2179018188*p^99*q^1502+231815780*p^97*q^1504+21977062*p^95*q^1506+ 1576078*p^93*q^1508+33352*p^91*q^1510+20*p^124*q^1476+3952*p^122*q^1478+46494*p ^120*q^1480+2195664*p^118*q^1482+40863342*p^116*q^1484+659081574*p^114*q^1486+ 6457077476*p^112*q^1488+47038853570*p^110*q^1490+216227508984*p^108*q^1492+ 359846228348*p^106*q^1494+186085259580*p^104*q^1496+42972501328*p^102*q^1498+ 6543451201*p^100*q^1500+790433978*p^98*q^1502+76255156*p^96*q^1504+7634378*p^94 *q^1506+325610*p^92*q^1508+1040*p^90*q^1510+8*p^88*q^1512+28*p^123*q^1476+21434 *p^121*q^1478+308548*p^119*q^1480+9931368*p^117*q^1482+161783110*p^115*q^1484+ 2028521318*p^113*q^1486+17155488128*p^111*q^1488+106883694174*p^109*q^1490+ 323552625808*p^107*q^1492+303421115654*p^105*q^1494+101179485412*p^103*q^1496+ 18479580751*p^101*q^1498+2502053184*p^99*q^1500+270383267*p^97*q^1502+25097824* p^95*q^1504+1981202*p^93*q^1506+32510*p^91*q^1508+24*p^89*q^1510+686*p^122*q^ 1476+81046*p^120*q^1478+1600280*p^118*q^1480+36669352*p^116*q^1482+575863571*p^ 114*q^1484+5835572660*p^112*q^1486+43148481375*p^110*q^1488+207092671466*p^108* q^1490+368904866955*p^106*q^1492+202127336462*p^104*q^1494+48199393019*p^102*q^ 1496+7458494540*p^100*q^1498+912504881*p^98*q^1500+88428700*p^96*q^1502+8594916 *p^94*q^1504+434306*p^92*q^1506+5528*p^90*q^1508+268*p^123*q^1474+25518*p^121*q ^1476+211392*p^119*q^1478+8797620*p^117*q^1480+138000618*p^115*q^1482+ 1816657904*p^113*q^1484+15617073897*p^111*q^1486+99385352568*p^109*q^1488+ 319131503338*p^107*q^1490+320522510410*p^105*q^1492+111983293870*p^103*q^1494+ 20974632446*p^101*q^1496+2870948535*p^99*q^1498+317139836*p^97*q^1500+29161718* p^95*q^1502+2724228*p^93*q^1504+67006*p^91*q^1506+28*p^89*q^1508+624*p^122*q^ 1474+77800*p^120*q^1476+1359238*p^118*q^1478+32072780*p^116*q^1480+501793216*p^ 114*q^1482+5233085292*p^112*q^1484+39548343058*p^110*q^1486+196851507841*p^108* q^1488+376580415306*p^106*q^1490+219375985135*p^104*q^1492+54162198578*p^102*q^ 1494+8511252460*p^100*q^1496+1060642224*p^98*q^1498+104135870*p^96*q^1500+ 9866836*p^94*q^1502+537080*p^92*q^1504+4950*p^90*q^1506+32*p^123*q^1472+10320*p ^121*q^1474+234000*p^119*q^1476+6932954*p^117*q^1478+117975070*p^115*q^1480+ 1609819269*p^113*q^1482+14162123784*p^111*q^1484+92358657461*p^109*q^1486+ 313663090428*p^107*q^1488+337907330941*p^105*q^1490+123806828964*p^103*q^1492+ 23706962074*p^101*q^1494+3292420910*p^99*q^1496+367823340*p^97*q^1498+33300128* p^95*q^1500+3180998*p^93*q^1502+95546*p^91*q^1504+528*p^89*q^1506+1509*p^122*q^ 1472+100280*p^120*q^1474+1032406*p^118*q^1476+29266432*p^116*q^1478+439475576*p ^114*q^1480+4715759984*p^112*q^1482+36189512088*p^110*q^1484+187343976626*p^108 *q^1486+382334444113*p^106*q^1488+237101141112*p^104*q^1490+60580151601*p^102*q ^1492+9697709484*p^100*q^1494+1216592779*p^98*q^1496+121380866*p^96*q^1498+ 11321770*p^94*q^1500+795406*p^92*q^1502+10056*p^90*q^1504+6724*p^121*q^1472+ 239776*p^119*q^1474+5641938*p^117*q^1476+101878460*p^115*q^1478+1425687786*p^ 113*q^1480+12865189392*p^111*q^1482+85514151158*p^109*q^1484+306859028190*p^107 *q^1486+354272101114*p^105*q^1488+136532476131*p^103*q^1490+26851048946*p^101*q ^1492+3771197351*p^99*q^1494+432313572*p^97*q^1496+39088331*p^95*q^1498+3761086 *p^93*q^1500+125020*p^91*q^1502+1004*p^89*q^1504+868*p^122*q^1470+75403*p^120*q ^1472+869810*p^118*q^1474+25374238*p^116*q^1476+378764058*p^114*q^1478+ 4226657373*p^112*q^1480+33067082294*p^110*q^1482+177038432628*p^108*q^1484+ 387241028242*p^106*q^1486+255585864594*p^104*q^1488+67847547516*p^102*q^1490+ 11040546017*p^100*q^1492+1404646190*p^98*q^1494+141688034*p^96*q^1496+12959804* p^94*q^1498+1064578*p^92*q^1500+17002*p^90*q^1502+16*p^88*q^1504+6247*p^121*q^ 1470+282060*p^119*q^1472+4506301*p^117*q^1474+89702096*p^115*q^1476+1261880102* p^113*q^1478+11629919294*p^111*q^1480+79177083629*p^109*q^1482+299058445698*p^ 107*q^1484+370670938103*p^105*q^1486+150222277066*p^103*q^1488+30318179750*p^ 101*q^1490+4310568330*p^99*q^1492+501176359*p^97*q^1494+45531782*p^95*q^1496+ 4245100*p^93*q^1498+179864*p^91*q^1500+808*p^89*q^1502+84*p^122*q^1468+48124*p^ 120*q^1470+799729*p^118*q^1472+21411458*p^116*q^1474+327363522*p^114*q^1476+ 3782545440*p^112*q^1478+30196333725*p^110*q^1480+167202364274*p^108*q^1482+ 390272189767*p^106*q^1484+274701472322*p^104*q^1486+75688546229*p^102*q^1488+ 12550639106*p^100*q^1490+1613427165*p^98*q^1492+166424612*p^96*q^1494+14682758* p^94*q^1496+1325446*p^92*q^1498+22340*p^90*q^1500+164*p^88*q^1502+7132*p^121*q^ 1468+310227*p^119*q^1470+3632832*p^117*q^1472+80408388*p^115*q^1474+1116872854* p^113*q^1476+10551908207*p^111*q^1478+73037238566*p^109*q^1480+290360845923*p^ 107*q^1482+385652557916*p^105*q^1484+164944236448*p^103*q^1486+34181845388*p^ 101*q^1488+4930155061*p^99*q^1490+579620068*p^97*q^1492+52886339*p^95*q^1494+ 5018428*p^93*q^1496+290102*p^91*q^1498+2668*p^89*q^1500+68*p^122*q^1466+35327*p ^120*q^1468+736950*p^118*q^1470+17869062*p^116*q^1472+280101684*p^114*q^1474+ 3380672582*p^112*q^1476+27516485562*p^110*q^1478+157099775805*p^108*q^1480+ 391353734876*p^106*q^1482+294473053685*p^104*q^1484+84453518142*p^102*q^1486+ 14301833418*p^100*q^1488+1856979118*p^98*q^1490+197531340*p^96*q^1492+17148344* p^94*q^1494+1538100*p^92*q^1496+34972*p^90*q^1498+16*p^88*q^1500+2260*p^121*q^ 1466+245546*p^119*q^1468+3110266*p^117*q^1470+70254860*p^115*q^1472+982576818*p ^113*q^1474+9504983528*p^111*q^1476+67369065457*p^109*q^1478+280788395722*p^107 *q^1480+400450025904*p^105*q^1482+180681551368*p^103*q^1484+38528714713*p^101*q ^1486+5618869556*p^99*q^1488+668079117*p^97*q^1490+61087250*p^95*q^1492+5662516 *p^93*q^1494+396456*p^91*q^1496+2460*p^89*q^1498+12*p^87*q^1500+4*p^124*q^1462+ 32112*p^120*q^1466+878857*p^118*q^1468+14450468*p^116*q^1470+246512682*p^114*q^ 1472+3014521660*p^112*q^1474+25092759782*p^110*q^1476+147590716306*p^108*q^1478 +391303019467*p^106*q^1480+314171729524*p^104*q^1482+93910818456*p^102*q^1484+ 16203131872*p^100*q^1486+2127860585*p^98*q^1488+230682246*p^96*q^1490+19682172* p^94*q^1492+1775972*p^92*q^1494+56828*p^90*q^1496+310*p^88*q^1498+1376*p^121*q^ 1464+204028*p^119*q^1466+2503730*p^117*q^1468+62079362*p^115*q^1470+857127248*p ^113*q^1472+8601134569*p^111*q^1474+61893115118*p^109*q^1476+270509184685*p^107 *q^1478+413498271494*p^105*q^1480+197398079902*p^103*q^1482+43354044820*p^101*q ^1484+6427823217*p^99*q^1486+773588730*p^97*q^1488+72565432*p^95*q^1490+6528734 *p^93*q^1492+534284*p^91*q^1494+6224*p^89*q^1496+8*p^124*q^1460+22520*p^120*q^ 1464+860096*p^118*q^1466+12200054*p^116*q^1468+214520016*p^114*q^1470+ 2694782922*p^112*q^1472+22813544762*p^110*q^1474+137860509694*p^108*q^1476+ 389369153974*p^106*q^1478+334696525545*p^104*q^1480+104390214908*p^102*q^1482+ 18403197202*p^100*q^1484+2438080124*p^98*q^1486+268889726*p^96*q^1488+22626046* p^94*q^1490+2123468*p^92*q^1492+90068*p^90*q^1494+140*p^88*q^1496+52*p^123*q^ 1460+210*p^121*q^1462+134262*p^119*q^1464+2377502*p^117*q^1466+52010840*p^115*q ^1468+746877254*p^113*q^1470+7713633262*p^111*q^1472+56929439031*p^109*q^1474+ 259413637124*p^107*q^1476+425866827418*p^105*q^1478+215263352202*p^103*q^1480+ 48726721278*p^101*q^1482+7322089056*p^99*q^1484+890271617*p^97*q^1486+86491208* p^95*q^1488+7383086*p^93*q^1490+586516*p^91*q^1492+8378*p^89*q^1494+18*p^87*q^ 1496+4*p^124*q^1458+13282*p^120*q^1462+850086*p^118*q^1464+10036982*p^116*q^ 1466+191426436*p^114*q^1468+2400411020*p^112*q^1470+20761844333*p^110*q^1472+ 128926879290*p^108*q^1474+385733697134*p^106*q^1476+354974851762*p^104*q^1478+ 115657164889*p^102*q^1480+20812487972*p^100*q^1482+2787803650*p^98*q^1484+ 310882788*p^96*q^1486+25565036*p^94*q^1488+2430862*p^92*q^1490+152104*p^90*q^ 1492+708*p^88*q^1494+112*p^123*q^1458+92*p^121*q^1460+124848*p^119*q^1462+ 2377034*p^117*q^1464+44442170*p^115*q^1466+651007332*p^113*q^1468+6942690536*p^ 111*q^1470+52149979444*p^109*q^1472+248262162102*p^107*q^1474+435906770342*p^ 105*q^1476+233932576550*p^103*q^1478+54715193576*p^101*q^1480+8369014074*p^99*q ^1482+1024681778*p^97*q^1484+102895976*p^95*q^1486+8807196*p^93*q^1488+727826*p ^91*q^1490+14336*p^89*q^1492+4*p^87*q^1494+268*p^122*q^1458+5732*p^120*q^1460+ 622630*p^118*q^1462+8159139*p^116*q^1464+167365296*p^114*q^1466+2125658496*p^ 112*q^1468+18844629500*p^110*q^1470+119798072169*p^108*q^1472+380843101728*p^ 106*q^1474+375242354802*p^104*q^1476+128180434342*p^102*q^1478+23586477482*p^ 100*q^1480+3188537126*p^98*q^1482+361581348*p^96*q^1484+30342658*p^94*q^1486+ 2700140*p^92*q^1488+187550*p^90*q^1490+1360*p^88*q^1492+84*p^123*q^1456+80*p^ 121*q^1458+86742*p^119*q^1460+2542869*p^117*q^1462+37644846*p^115*q^1464+ 568605710*p^113*q^1466+6237449394*p^111*q^1468+47802006019*p^109*q^1470+ 236502106912*p^107*q^1472+445545638887*p^105*q^1474+253541820726*p^103*q^1476+ 61263837887*p^101*q^1478+9514347968*p^99*q^1480+1177966586*p^97*q^1482+ 120225418*p^95*q^1484+9491432*p^93*q^1486+875570*p^91*q^1488+28686*p^89*q^1490+ 24*p^87*q^1492+708*p^122*q^1456+1676*p^120*q^1458+521962*p^118*q^1460+7137274*p ^116*q^1462+145751027*p^114*q^1464+1881015416*p^112*q^1466+17066218794*p^110*q^ 1468+111413747358*p^108*q^1470+374228075078*p^106*q^1472+395397788714*p^104*q^ 1474+141461773244*p^102*q^1476+26669901500*p^100*q^1478+3646751883*p^98*q^1480+ 416645874*p^96*q^1482+36319498*p^94*q^1484+3348766*p^92*q^1486+220720*p^90*q^ 1488+1462*p^88*q^1490+12*p^123*q^1454+700*p^121*q^1456+56878*p^119*q^1458+ 2357450*p^117*q^1460+31215157*p^115*q^1462+502836374*p^113*q^1464+5597227750*p^ 111*q^1466+43728969534*p^109*q^1468+224693394974*p^107*q^1470+452544738314*p^ 105*q^1472+274207919729*p^103*q^1474+68545144316*p^101*q^1476+10820494419*p^99* q^1478+1350829814*p^97*q^1480+141333838*p^95*q^1482+10575376*p^93*q^1484+929400 *p^91*q^1486+52552*p^89*q^1488+216*p^87*q^1490+880*p^122*q^1454+1920*p^120*q^ 1456+429372*p^118*q^1458+6836801*p^116*q^1460+126321958*p^114*q^1462+1651104400 *p^112*q^1464+15459894732*p^110*q^1466+103104846378*p^108*q^1468+366076024376*p ^106*q^1470+415027884738*p^104*q^1472+156085850834*p^102*q^1474+30129812881*p^ 100*q^1476+4183602226*p^98*q^1478+482094734*p^96*q^1480+43803320*p^94*q^1482+ 3886134*p^92*q^1484+306480*p^90*q^1486+2988*p^88*q^1488+2588*p^121*q^1454+22450 *p^119*q^1456+1946840*p^117*q^1458+25571212*p^115*q^1460+439947748*p^113*q^1462 +5018069764*p^111*q^1464+39951292324*p^109*q^1466+212661440902*p^107*q^1468+ 458346875707*p^105*q^1470+295747817284*p^103*q^1472+76664726664*p^101*q^1474+ 12307124114*p^99*q^1476+1540746773*p^97*q^1478+164479122*p^95*q^1480+12174918*p ^93*q^1482+1092634*p^91*q^1484+56228*p^89*q^1486+76*p^87*q^1488+288*p^122*q^ 1452+1184*p^120*q^1454+329723*p^118*q^1456+6872938*p^116*q^1458+109179379*p^114 *q^1460+1455997206*p^112*q^1462+13954596610*p^110*q^1464+95587083440*p^108*q^ 1466+357063499473*p^106*q^1468+433740505780*p^104*q^1470+171552930570*p^102*q^ 1472+33936354962*p^100*q^1474+4761576549*p^98*q^1476+555635158*p^96*q^1478+ 51799391*p^94*q^1480+4055076*p^92*q^1482+323572*p^90*q^1484+10488*p^88*q^1486+ 16*p^86*q^1488+16*p^123*q^1450+4944*p^121*q^1452+20668*p^119*q^1454+1727478*p^ 117*q^1456+21925700*p^115*q^1458+388319370*p^113*q^1460+4483253537*p^111*q^1462 +36477454486*p^109*q^1464+200777390880*p^107*q^1466+461799489958*p^105*q^1468+ 317646180503*p^103*q^1470+85557811284*p^101*q^1472+13998206001*p^99*q^1474+ 1773566934*p^97*q^1476+190930703*p^95*q^1478+14677904*p^93*q^1480+1502078*p^91* q^1482+92596*p^89*q^1484+132*p^87*q^1486+36*p^122*q^1450+6014*p^120*q^1452+ 196886*p^118*q^1454+6241034*p^116*q^1456+91903944*p^114*q^1458+1280397414*p^112 *q^1460+12602751774*p^110*q^1462+87959740378*p^108*q^1464+346796081762*p^106*q^ 1466+452057176278*p^104*q^1468+188461554776*p^102*q^1470+38288973682*p^100*q^ 1472+5445503616*p^98*q^1474+639517767*p^96*q^1476+61886884*p^94*q^1478+4419390* p^92*q^1480+315202*p^90*q^1482+12220*p^88*q^1484+3212*p^121*q^1450+7572*p^119*q ^1452+1401560*p^117*q^1454+19636546*p^115*q^1456+340235736*p^113*q^1458+ 3991935018*p^111*q^1460+33230203407*p^109*q^1462+188905117888*p^107*q^1464+ 463990959829*p^105*q^1466+340641358858*p^103*q^1468+95256494891*p^101*q^1470+ 15862965294*p^99*q^1472+2028178107*p^97*q^1474+220152480*p^95*q^1476+17595656*p ^93*q^1478+1641944*p^91*q^1480+117688*p^89*q^1482+1192*p^87*q^1484+236*p^122*q^ 1448+15640*p^120*q^1450+142245*p^118*q^1452+5811542*p^116*q^1454+77591667*p^114 *q^1456+1130518834*p^112*q^1458+11376608196*p^110*q^1460+81290309774*p^108*q^ 1462+335127817217*p^106*q^1464+469159111442*p^104*q^1466+206241408519*p^102*q^ 1468+43049107004*p^100*q^1470+6209818721*p^98*q^1472+730048116*p^96*q^1474+ 72920269*p^94*q^1476+4753230*p^92*q^1478+456770*p^90*q^1480+19200*p^88*q^1482+ 976*p^121*q^1448+11726*p^119*q^1450+1106260*p^117*q^1452+18156284*p^115*q^1454+ 297656998*p^113*q^1456+3549103070*p^111*q^1458+30218934488*p^109*q^1460+ 177315975258*p^107*q^1462+463367787710*p^105*q^1464+363797053303*p^103*q^1466+ 106016343686*p^101*q^1468+18000202662*p^99*q^1470+2324827380*p^97*q^1472+ 257392579*p^95*q^1474+21398286*p^93*q^1476+1863408*p^91*q^1478+107124*p^89*q^ 1480+2360*p^87*q^1482+28*p^122*q^1446+19160*p^120*q^1448+87840*p^118*q^1450+ 4975415*p^116*q^1452+65484960*p^114*q^1454+994736777*p^112*q^1456+10244009174*p ^110*q^1458+74634084352*p^108*q^1460+323200697004*p^106*q^1462+484718895250*p^ 104*q^1464+225568874168*p^102*q^1466+48429213431*p^100*q^1468+7084907786*p^98*q ^1470+839604605*p^96*q^1472+84327042*p^94*q^1474+5641134*p^92*q^1476+567876*p^ 90*q^1478+37650*p^88*q^1480+56*p^86*q^1482+1584*p^121*q^1446+30520*p^119*q^1448 +771457*p^117*q^1450+17012878*p^115*q^1452+256814959*p^113*q^1454+3150886232*p^ 111*q^1456+27472189420*p^109*q^1458+165831968504*p^107*q^1460+461733854187*p^ 105*q^1462+387287620668*p^103*q^1464+117750577806*p^101*q^1466+20366403260*p^99 *q^1468+2658439916*p^97*q^1470+295422408*p^95*q^1472+26167012*p^93*q^1474+ 1813618*p^91*q^1476+112956*p^89*q^1478+2076*p^87*q^1480+9984*p^120*q^1446+46454 *p^118*q^1448+4425164*p^116*q^1450+56512986*p^114*q^1452+879450014*p^112*q^1454 +9208896182*p^110*q^1456+68674750646*p^108*q^1458+310243610539*p^106*q^1460+ 499296574250*p^104*q^1462+245676550628*p^102*q^1464+54328606338*p^100*q^1466+ 8065108111*p^98*q^1468+962397942*p^96*q^1470+98490044*p^94*q^1472+6675128*p^92* q^1474+746666*p^90*q^1476+40544*p^88*q^1478+324*p^86*q^1480+760*p^121*q^1444+ 62408*p^119*q^1446+605744*p^117*q^1448+15388418*p^115*q^1450+221728942*p^113*q^ 1452+2792686077*p^111*q^1454+24930682396*p^109*q^1456+154877891360*p^107*q^1458 +457407009666*p^105*q^1460+411034802773*p^103*q^1462+130429097426*p^101*q^1464+ 23064127840*p^99*q^1466+3043320642*p^97*q^1468+338756651*p^95*q^1470+30821308*p ^93*q^1472+1904456*p^91*q^1474+147554*p^89*q^1476+8516*p^87*q^1478+8420*p^120*q ^1444+60692*p^118*q^1446+3435462*p^116*q^1448+50470410*p^114*q^1450+773138686*p ^112*q^1452+8260386900*p^110*q^1454+62868964977*p^108*q^1456+296749953776*p^106 *q^1458+511851217886*p^104*q^1460+267325469738*p^102*q^1462+61003768489*p^100*q ^1464+9191282278*p^98*q^1466+1104584487*p^96*q^1468+116347228*p^94*q^1470+ 8529380*p^92*q^1472+809110*p^90*q^1474+36712*p^88*q^1476+72*p^86*q^1478+96*p^ 121*q^1442+55484*p^119*q^1444+339896*p^117*q^1446+14157390*p^115*q^1448+ 187390361*p^113*q^1450+2474430304*p^111*q^1452+22598021300*p^109*q^1454+ 144096298146*p^107*q^1456+451806081932*p^105*q^1458+434966687496*p^103*q^1460+ 144411190319*p^101*q^1462+26040450590*p^99*q^1464+3476393697*p^97*q^1466+ 389084984*p^95*q^1468+35768688*p^93*q^1470+2023554*p^91*q^1472+220461*p^89*q^ 1474+11888*p^87*q^1476+20*p^85*q^1478+7084*p^120*q^1442+120848*p^118*q^1444+ 2835108*p^116*q^1446+45102583*p^114*q^1448+681984020*p^112*q^1450+7409066322*p^ 110*q^1452+57671974966*p^108*q^1454+283049447861*p^106*q^1456+522793548802*p^ 104*q^1458+289597198863*p^102*q^1460+68260898386*p^100*q^1462+10436971828*p^98* q^1464+1264521346*p^96*q^1466+133134057*p^94*q^1468+10536816*p^92*q^1470+785812 *p^90*q^1472+31710*p^88*q^1474+1088*p^86*q^1476+52*p^121*q^1440+42758*p^119*q^ 1442+270736*p^117*q^1444+12418245*p^115*q^1446+162738268*p^113*q^1448+ 2190138759*p^111*q^1450+20452903752*p^109*q^1452+133970075594*p^107*q^1454+ 443903543772*p^105*q^1456+457897078152*p^103*q^1458+159554286144*p^101*q^1460+ 29416188163*p^99*q^1462+3982312632*p^97*q^1464+446772950*p^95*q^1466+43074536*p ^93*q^1468+2419502*p^91*q^1470+318840*p^89*q^1472+15397*p^87*q^1474+2240*p^120* q^1440+178016*p^118*q^1442+2049722*p^116*q^1444+40951300*p^114*q^1446+591775820 *p^112*q^1448+6622645558*p^110*q^1450+52616966518*p^108*q^1452+268897765064*p^ 106*q^1454+531840987326*p^104*q^1456+313520801730*p^102*q^1458+76365703552*p^ 100*q^1460+11881934944*p^98*q^1462+1451925680*p^96*q^1464+154177956*p^94*q^1466 +12348588*p^92*q^1468+782048*p^90*q^1470+40964*p^88*q^1472+2424*p^86*q^1474+4*p ^121*q^1438+38788*p^119*q^1440+241846*p^117*q^1442+10482058*p^115*q^1444+ 140237306*p^113*q^1446+1940853112*p^111*q^1448+18482413163*p^109*q^1450+ 124046114438*p^107*q^1452+435189035607*p^105*q^1454+481287275944*p^103*q^1456+ 175763889117*p^101*q^1458+33193807102*p^99*q^1460+4533903706*p^97*q^1462+ 511754348*p^95*q^1464+50345050*p^93*q^1466+3240220*p^91*q^1468+320586*p^89*q^ 1470+10060*p^87*q^1472+52*p^85*q^1474+1268*p^120*q^1438+168356*p^118*q^1440+ 1503112*p^116*q^1442+37686953*p^114*q^1444+515849212*p^112*q^1446+5917776077*p^ 110*q^1448+48165995690*p^108*q^1450+254575233161*p^106*q^1452+538692554892*p^ 104*q^1454+337894171091*p^102*q^1456+85272017542*p^100*q^1458+13450914013*p^98* q^1460+1664320908*p^96*q^1462+176502440*p^94*q^1464+14687538*p^92*q^1466+679216 *p^90*q^1468+92728*p^88*q^1470+4316*p^86*q^1472+4*p^121*q^1436+21836*p^119*q^ 1438+378658*p^117*q^1440+8862038*p^115*q^1442+122974782*p^113*q^1444+1717825865 *p^111*q^1446+16693720740*p^109*q^1448+114869017257*p^107*q^1450+423850331866*p ^105*q^1452+503419327138*p^103*q^1454+193427021948*p^101*q^1456+37409785346*p^ 99*q^1458+5189343770*p^97*q^1460+587663224*p^95*q^1462+59356238*p^93*q^1464+ 4026166*p^91*q^1466+383282*p^89*q^1468+4838*p^87*q^1470+340*p^85*q^1472+176*p^ 120*q^1436+161540*p^118*q^1438+1070588*p^116*q^1440+33274694*p^114*q^1442+ 445815079*p^112*q^1444+5262962648*p^110*q^1446+43793958424*p^108*q^1448+ 240486372402*p^106*q^1450+543076165560*p^104*q^1452+363569476434*p^102*q^1454+ 95221636846*p^100*q^1456+15280690382*p^98*q^1458+1904451778*p^96*q^1460+ 203263214*p^94*q^1462+17607921*p^92*q^1464+843162*p^90*q^1466+100108*p^88*q^ 1468+5042*p^86*q^1470+14272*p^119*q^1436+454900*p^117*q^1438+6889154*p^115*q^ 1440+109672387*p^113*q^1442+1514802262*p^111*q^1444+15070629263*p^109*q^1446+ 105951567414*p^107*q^1448+412448031846*p^105*q^1450+524622219648*p^103*q^1452+ 212393519413*p^101*q^1454+42075290950*p^99*q^1456+5908353336*p^97*q^1458+ 674915274*p^95*q^1460+68051513*p^93*q^1462+4780682*p^91*q^1464+296460*p^89*q^ 1466+17608*p^87*q^1468+580*p^85*q^1470+156*p^120*q^1434+120998*p^118*q^1436+ 952282*p^116*q^1438+29941229*p^114*q^1440+386525868*p^112*q^1442+4698403842*p^ 110*q^1444+39880748986*p^108*q^1446+226332092194*p^106*q^1448+545891593724*p^ 104*q^1450+389440060339*p^102*q^1452+105961517746*p^100*q^1454+17310325137*p^98 *q^1456+2179951898*p^96*q^1458+231881219*p^94*q^1460+21370948*p^92*q^1462+ 1147026*p^90*q^1464+149596*p^88*q^1466+1132*p^86*q^1468+24*p^84*q^1470+2*p^123* q^1430+4676*p^119*q^1434+507504*p^117*q^1436+5413866*p^115*q^1438+97384504*p^ 113*q^1440+1334926832*p^111*q^1442+13551190598*p^109*q^1444+97813026301*p^107*q ^1446+398689103946*p^105*q^1448+544980474542*p^103*q^1450+232505677068*p^101*q^ 1452+47357621379*p^99*q^1454+6729423950*p^97*q^1456+776747350*p^95*q^1458+ 78735826*p^93*q^1460+5639323*p^91*q^1462+233826*p^89*q^1464+23928*p^87*q^1466+ 1840*p^85*q^1468+68*p^120*q^1432+95152*p^118*q^1434+1051655*p^116*q^1436+ 25282990*p^114*q^1438+337870742*p^112*q^1440+4172927346*p^110*q^1442+ 36253965197*p^108*q^1444+212228067562*p^106*q^1446+545921423315*p^104*q^1448+ 416526748760*p^102*q^1450+117877736707*p^100*q^1452+19608109844*p^98*q^1454+ 2502518235*p^96*q^1456+266517720*p^94*q^1458+25356186*p^92*q^1460+1482272*p^90* q^1462+165056*p^88*q^1464+1796*p^86*q^1466+24*p^84*q^1468+8*p^123*q^1428+1960*p ^119*q^1432+463134*p^117*q^1434+3954220*p^115*q^1436+88467328*p^113*q^1438+ 1165227770*p^111*q^1440+12175449556*p^109*q^1442+89767878578*p^107*q^1444+ 384805232039*p^105*q^1446+563840128806*p^103*q^1448+254383788834*p^101*q^1450+ 53190123966*p^99*q^1452+7660749014*p^97*q^1454+886752338*p^95*q^1456+90555236*p ^93*q^1458+6848166*p^91*q^1460+269874*p^89*q^1462+34912*p^87*q^1464+771*p^85*q^ 1466+26*p^122*q^1428+4*p^120*q^1430+53204*p^118*q^1432+1191264*p^116*q^1434+ 21662556*p^114*q^1436+292049528*p^112*q^1438+3723585914*p^110*q^1440+ 32973760632*p^108*q^1442+198895494336*p^106*q^1444+543692162270*p^104*q^1446+ 443615096553*p^102*q^1448+130793266540*p^100*q^1450+22137165067*p^98*q^1452+ 2850458240*p^96*q^1454+307459654*p^94*q^1456+29226116*p^92*q^1458+1759566*p^90* q^1460+113656*p^88*q^1462+4724*p^86*q^1464+358*p^84*q^1466+1724*p^119*q^1430+ 415696*p^117*q^1432+3493688*p^115*q^1434+78825506*p^113*q^1436+1028658753*p^111 *q^1438+10925034762*p^109*q^1440+82529166135*p^107*q^1442+369257731684*p^105*q^ 1444+580507491850*p^103*q^1446+277182466428*p^101*q^1448+59722603343*p^99*q^ 1450+8722633356*p^97*q^1452+1023930039*p^95*q^1454+102738692*p^93*q^1456+ 8689042*p^91*q^1458+380510*p^89*q^1460+67300*p^87*q^1462+68*p^85*q^1464+122*p^ 122*q^1426+21142*p^118*q^1430+1301294*p^116*q^1432+16898258*p^114*q^1434+ 258089346*p^112*q^1436+3282977514*p^110*q^1438+29835243088*p^108*q^1440+ 185688798598*p^106*q^1442+539391738232*p^104*q^1444+471077582884*p^102*q^1446+ 145193113352*p^100*q^1448+25063903676*p^98*q^1450+3266698661*p^96*q^1452+ 351358090*p^94*q^1454+34813844*p^92*q^1456+2037696*p^90*q^1458+81014*p^88*q^ 1460+3996*p^86*q^1462+376*p^84*q^1464+132*p^121*q^1426+320*p^119*q^1428+328938* p^117*q^1430+2995498*p^115*q^1432+70194442*p^113*q^1434+894150326*p^111*q^1436+ 9802199929*p^109*q^1438+75551130284*p^107*q^1440+353856440768*p^105*q^1442+ 596220348758*p^103*q^1444+301523542286*p^101*q^1446+66880133288*p^99*q^1448+ 9897499516*p^97*q^1450+1168167136*p^95*q^1452+118723359*p^93*q^1454+10045644*p^ 91*q^1456+517226*p^89*q^1458+60016*p^87*q^1460+648*p^85*q^1462+28*p^83*q^1464+6 *p^122*q^1424+4*p^120*q^1426+18932*p^118*q^1428+1299978*p^116*q^1430+14022791*p ^114*q^1432+230178960*p^112*q^1434+2921902041*p^110*q^1436+27046722126*p^108*q^ 1438+172876894194*p^106*q^1440+533295019970*p^104*q^1442+498452746738*p^102*q^ 1444+160413747846*p^100*q^1446+28285171177*p^98*q^1448+3726467568*p^96*q^1450+ 405271864*p^94*q^1452+39026998*p^92*q^1454+2627575*p^90*q^1456+74374*p^88*q^ 1458+16602*p^86*q^1460+808*p^121*q^1424+124*p^119*q^1426+175840*p^117*q^1428+ 3114514*p^115*q^1430+60403988*p^113*q^1432+779230198*p^111*q^1434+8770818168*p^ 109*q^1436+69230641720*p^107*q^1438+336983512720*p^105*q^1440+609114617013*p^ 103*q^1442+327093351632*p^101*q^1444+74949462521*p^99*q^1446+11246434192*p^97*q ^1448+1342308342*p^95*q^1450+136358978*p^93*q^1452+12536728*p^91*q^1454+606402* p^89*q^1456+49044*p^87*q^1458+144*p^85*q^1460+106*p^83*q^1462+16*p^122*q^1422+ 334*p^120*q^1424+7492*p^118*q^1426+1282288*p^116*q^1428+11302246*p^114*q^1430+ 204637010*p^112*q^1432+2585892896*p^110*q^1434+24426179519*p^108*q^1436+ 160668105860*p^106*q^1438+524254384955*p^104*q^1440+526115527388*p^102*q^1442+ 177404115317*p^100*q^1444+31908379838*p^98*q^1446+4256389159*p^96*q^1448+ 466060150*p^94*q^1450+44775690*p^92*q^1452+3120358*p^90*q^1454+120182*p^88*q^ 1456+21260*p^86*q^1458+40*p^84*q^1460+280*p^121*q^1422+116*p^119*q^1424+131736* p^117*q^1426+3208690*p^115*q^1428+50566063*p^113*q^1430+682536638*p^111*q^1432+ 7816239419*p^109*q^1434+63175715266*p^107*q^1436+320826626965*p^105*q^1438+ 619934232466*p^103*q^1440+354058967668*p^101*q^1442+83750736968*p^99*q^1444+ 12760906389*p^97*q^1446+1538053838*p^95*q^1448+155939837*p^93*q^1450+14736750*p ^91*q^1452+749360*p^89*q^1454+20170*p^87*q^1456+2168*p^85*q^1458+2956*p^120*q^ 1422+2708*p^118*q^1424+935768*p^116*q^1426+9399434*p^114*q^1428+184455470*p^112 *q^1430+2279510519*p^110*q^1432+22120750442*p^108*q^1434+148903332716*p^106*q^ 1436+514259924346*p^104*q^1438+552472468009*p^102*q^1440+195519418938*p^100*q^ 1442+35955826102*p^98*q^1444+4845117554*p^96*q^1446+532791719*p^94*q^1448+ 51582336*p^92*q^1450+3848115*p^90*q^1452+163208*p^88*q^1454+26162*p^86*q^1456+ 16*p^82*q^1460+236*p^121*q^1420+524*p^119*q^1422+82432*p^117*q^1424+3545686*p^ 115*q^1426+43180114*p^113*q^1428+598223098*p^111*q^1430+6994249714*p^109*q^1432 +57663402276*p^107*q^1434+303746251912*p^105*q^1436+628517782001*p^103*q^1438+ 381739393570*p^101*q^1440+93544938880*p^99*q^1442+14465097168*p^97*q^1444+ 1763528586*p^95*q^1446+180499054*p^93*q^1448+16620922*p^91*q^1450+919754*p^89*q ^1452+19116*p^87*q^1454+4764*p^85*q^1456+2838*p^120*q^1420+1624*p^118*q^1422+ 697304*p^116*q^1424+8393464*p^114*q^1426+160393005*p^112*q^1428+2005708802*p^ 110*q^1430+19892006254*p^108*q^1432+137796955388*p^106*q^1434+501400098876*p^ 104*q^1436+578978286924*p^102*q^1438+215215444273*p^100*q^1440+40563173144*p^98 *q^1442+5527545279*p^96*q^1444+614750598*p^94*q^1446+59239644*p^92*q^1448+ 5125450*p^90*q^1450+207296*p^88*q^1452+15008*p^86*q^1454+104*p^84*q^1456+30*p^ 121*q^1418+6304*p^119*q^1420+36504*p^117*q^1422+3275362*p^115*q^1424+35240498*p ^113*q^1426+531561578*p^111*q^1428+6224922744*p^109*q^1430+52517241664*p^107*q^ 1432+286976154401*p^105*q^1434+634921053466*p^103*q^1436+411026675919*p^101*q^ 1438+104320565362*p^99*q^1440+16363375879*p^97*q^1442+2015649796*p^95*q^1444+ 206008647*p^93*q^1446+18887998*p^91*q^1448+1012480*p^89*q^1450+34652*p^87*q^ 1452+7844*p^85*q^1454+p^81*q^1458+1772*p^120*q^1418+1856*p^118*q^1420+526754*p^ 116*q^1422+8433505*p^114*q^1424+140976364*p^112*q^1426+1760891149*p^110*q^1428+ 17928951520*p^108*q^1430+127126669672*p^106*q^1432+488082955288*p^104*q^1434+ 603627403543*p^102*q^1436+236301182940*p^100*q^1438+45556121135*p^98*q^1440+ 6294048744*p^96*q^1442+703463013*p^94*q^1444+68276328*p^92*q^1446+6011268*p^90* q^1448+272802*p^88*q^1450+2908*p^86*q^1452+680*p^84*q^1454+12966*p^119*q^1418+ 20644*p^117*q^1420+2780422*p^115*q^1422+29384534*p^113*q^1424+471583971*p^111*q ^1426+5557399360*p^109*q^1428+47843588183*p^107*q^1430+270259563382*p^105*q^ 1432+637596590562*p^103*q^1434+440897007716*p^101*q^1436+116189417506*p^99*q^ 1438+18550399648*p^97*q^1440+2304210659*p^95*q^1442+238235932*p^93*q^1444+ 21789442*p^91*q^1446+1427906*p^89*q^1448+46276*p^87*q^1450+9796*p^85*q^1452+964 *p^120*q^1416+8284*p^118*q^1418+315166*p^116*q^1420+8660218*p^114*q^1422+ 120977262*p^112*q^1424+1545671264*p^110*q^1426+16086911534*p^108*q^1428+ 117096375878*p^106*q^1430+472066272702*p^104*q^1432+627667622186*p^102*q^1434+ 259002705591*p^100*q^1436+51287225856*p^98*q^1438+7162683697*p^96*q^1440+ 812090090*p^94*q^1442+77945680*p^92*q^1444+6931094*p^90*q^1446+283231*p^88*q^ 1448+5320*p^86*q^1450+1100*p^84*q^1452+4*p^121*q^1414+9704*p^119*q^1416+15394*p ^117*q^1418+2303710*p^115*q^1420+24376923*p^113*q^1422+417209124*p^111*q^1424+ 4925102231*p^109*q^1426+43408388496*p^107*q^1428+253987729524*p^105*q^1430+ 639250779466*p^103*q^1432+471580732920*p^101*q^1434+129256495152*p^99*q^1436+ 20963497063*p^97*q^1438+2631905176*p^95*q^1440+271412807*p^93*q^1442+25361482*p ^91*q^1444+1897202*p^89*q^1446+72340*p^87*q^1448+1904*p^85*q^1450+48*p^83*q^ 1452+44*p^120*q^1414+31680*p^118*q^1416+195844*p^116*q^1418+8268030*p^114*q^ 1420+104502526*p^112*q^1422+1364696078*p^110*q^1424+14471272490*p^108*q^1426+ 107697982288*p^106*q^1428+456006602274*p^104*q^1430+649587733317*p^102*q^1432+ 282991105126*p^100*q^1434+57519413032*p^98*q^1436+8124127742*p^96*q^1438+ 930229578*p^94*q^1440+89882234*p^92*q^1442+7669016*p^90*q^1444+326634*p^88*q^ 1446+7530*p^86*q^1448+3680*p^84*q^1450+9070*p^119*q^1414+14332*p^117*q^1416+ 1735278*p^115*q^1418+22780784*p^113*q^1420+367850546*p^111*q^1422+4370493380*p^ 109*q^1424+39432459244*p^107*q^1426+237412021890*p^105*q^1428+637056082656*p^ 103*q^1430+502890729776*p^101*q^1432+143524079631*p^99*q^1434+23709035906*p^97* q^1436+3018902096*p^95*q^1438+314655516*p^93*q^1440+29062880*p^91*q^1442+ 2415468*p^89*q^1444+89744*p^87*q^1446+492*p^85*q^1448+48*p^83*q^1450+104*p^120* q^1412+36572*p^118*q^1414+120526*p^116*q^1416+7620042*p^114*q^1418+86161078*p^ 112*q^1420+1202980282*p^110*q^1422+12960418079*p^108*q^1424+98850457630*p^106*q ^1426+437895168439*p^104*q^1428+670274652248*p^102*q^1430+308973084037*p^100*q^ 1432+64586237746*p^98*q^1434+9237367476*p^96*q^1436+1061954976*p^94*q^1438+ 102586340*p^92*q^1440+9004544*p^90*q^1442+464034*p^88*q^1444+13164*p^86*q^1446+ 1542*p^84*q^1448+2104*p^119*q^1412+47156*p^117*q^1414+1248718*p^115*q^1416+ 21485735*p^113*q^1418+324886638*p^111*q^1420+3865445852*p^109*q^1422+ 35664762518*p^107*q^1424+222150357293*p^105*q^1426+632211201768*p^103*q^1428+ 534690023216*p^101*q^1430+159132433356*p^99*q^1432+26766620161*p^97*q^1434+ 3434578542*p^95*q^1436+363747257*p^93*q^1438+33437100*p^91*q^1440+2717418*p^89* q^1442+88406*p^87*q^1444+996*p^85*q^1446+716*p^83*q^1448+8*p^120*q^1410+43456*p ^118*q^1412+84788*p^116*q^1414+6514608*p^114*q^1416+72981054*p^112*q^1418+ 1063810879*p^110*q^1420+11606635502*p^108*q^1422+90598931922*p^106*q^1424+ 419916386948*p^104*q^1426+688296687579*p^102*q^1428+336125080982*p^100*q^1430+ 72334410027*p^98*q^1432+10474426746*p^96*q^1434+1220160233*p^94*q^1436+ 116841320*p^92*q^1438+10454426*p^90*q^1440+668090*p^88*q^1442+24082*p^86*q^1444 +20*p^84*q^1446+1378*p^119*q^1410+85860*p^117*q^1412+820830*p^115*q^1414+ 20831238*p^113*q^1416+284078400*p^111*q^1418+3421170948*p^109*q^1420+ 32301821950*p^107*q^1422+206659711946*p^105*q^1424+625711027750*p^103*q^1426+ 565707673964*p^101*q^1428+176132068951*p^99*q^1430+30226981904*p^97*q^1432+ 3920464814*p^95*q^1434+416535664*p^93*q^1436+38472458*p^91*q^1438+3072458*p^89* q^1440+95966*p^87*q^1442+1268*p^85*q^1444+752*p^83*q^1446+24408*p^118*q^1410+ 87050*p^116*q^1412+5482750*p^114*q^1414+63222727*p^112*q^1416+938612116*p^110*q ^1418+10375244594*p^108*q^1420+82871856996*p^106*q^1422+400366953529*p^104*q^ 1424+704432820770*p^102*q^1426+365002467291*p^100*q^1428+81053852308*p^98*q^ 1430+11884347031*p^96*q^1432+1402092968*p^94*q^1434+136532882*p^92*q^1436+ 12098932*p^90*q^1438+900392*p^88*q^1440+28556*p^86*q^1442+94*p^84*q^1444+56*p^ 82*q^1446+446*p^119*q^1408+124854*p^117*q^1410+560894*p^115*q^1412+19009380*p^ 113*q^1414+242468890*p^111*q^1416+3023039787*p^109*q^1418+29132222602*p^107*q^ 1420+192090600502*p^105*q^1422+616184811024*p^103*q^1424+598146115620*p^101*q^ 1426+194526889412*p^99*q^1428+34071108067*p^97*q^1430+4465375970*p^95*q^1432+ 477026914*p^93*q^1434+42822898*p^91*q^1436+3596572*p^89*q^1438+130694*p^87*q^ 1440+4240*p^85*q^1442+12070*p^118*q^1408+140890*p^116*q^1410+4178048*p^114*q^ 1412+57169634*p^112*q^1414+835544219*p^110*q^1416+9266360324*p^108*q^1418+ 75708987934*p^106*q^1420+381293367506*p^104*q^1422+717816308377*p^102*q^1424+ 395068809794*p^100*q^1426+90525215629*p^98*q^1428+13454500904*p^96*q^1430+ 1600010544*p^94*q^1432+157851916*p^92*q^1434+14167514*p^90*q^1436+1011120*p^88* q^1438+27568*p^86*q^1440+48*p^84*q^1442+212*p^82*q^1444+44*p^119*q^1406+125760* p^117*q^1408+429416*p^115*q^1410+17593248*p^113*q^1412+207754711*p^111*q^1414+ 2674137074*p^109*q^1416+26302857965*p^107*q^1418+178083233222*p^105*q^1420+ 603976076658*p^103*q^1422+628755305624*p^101*q^1424+214702265009*p^99*q^1426+ 38401838120*p^97*q^1428+5087002439*p^95*q^1430+551107928*p^93*q^1432+49147824*p ^91*q^1434+4123166*p^89*q^1436+228790*p^87*q^1438+6932*p^85*q^1440+4*p^83*q^ 1442+4*p^120*q^1404+7604*p^118*q^1406+229344*p^116*q^1408+3023920*p^114*q^1410+ 51941500*p^112*q^1412+735454532*p^110*q^1414+8251219029*p^108*q^1416+ 69046224850*p^106*q^1418+360991932085*p^104*q^1420+728374220950*p^102*q^1422+ 426982450764*p^100*q^1424+101190020752*p^98*q^1426+15260756169*p^96*q^1428+ 1835042764*p^94*q^1430+181662211*p^92*q^1432+16230434*p^90*q^1434+1211012*p^88* q^1436+21356*p^86*q^1438+394*p^84*q^1440+44*p^119*q^1404+76982*p^117*q^1406+ 355816*p^115*q^1408+15370264*p^113*q^1410+178272444*p^111*q^1412+2356099234*p^ 109*q^1414+23663004032*p^107*q^1416+164834748778*p^105*q^1418+590528643084*p^ 103*q^1420+659193022913*p^101*q^1422+236314894544*p^99*q^1424+43233617224*p^97* q^1426+5768554034*p^95*q^1428+629523110*p^93*q^1430+56832484*p^91*q^1432+ 4793314*p^89*q^1434+291828*p^87*q^1436+9652*p^85*q^1438+32*p^81*q^1442+1370*p^ 118*q^1404+353544*p^116*q^1406+2315158*p^114*q^1408+48182074*p^112*q^1410+ 645562080*p^110*q^1412+7365568208*p^108*q^1414+62873873666*p^106*q^1416+ 341752463310*p^104*q^1418+736220890432*p^102*q^1420+459416692566*p^100*q^1422+ 112786398202*p^98*q^1424+17261129176*p^96*q^1426+2099520799*p^94*q^1428+ 209315740*p^92*q^1430+17817484*p^90*q^1432+1399870*p^88*q^1434+38238*p^86*q^ 1436+1064*p^84*q^1438+64*p^119*q^1402+61326*p^117*q^1404+366656*p^115*q^1406+ 12501568*p^113*q^1408+155488538*p^111*q^1410+2093600076*p^109*q^1412+ 21274597700*p^107*q^1414+151964504158*p^105*q^1416+574639355700*p^103*q^1418+ 688413591234*p^101*q^1420+259593700259*p^99*q^1422+48658233830*p^97*q^1424+ 6564076001*p^95*q^1426+725259802*p^93*q^1428+66354906*p^91*q^1430+5941228*p^89* q^1432+364584*p^87*q^1434+6600*p^85*q^1436+12*p^83*q^1438+1108*p^118*q^1402+ 310786*p^116*q^1404+1776224*p^114*q^1406+44524427*p^112*q^1408+560240264*p^110* q^1410+6528149210*p^108*q^1412+57180996078*p^106*q^1414+321489357455*p^104*q^ 1416+741290672174*p^102*q^1418+493727422048*p^100*q^1420+125685097218*p^98*q^ 1422+19544761320*p^96*q^1424+2399354854*p^94*q^1426+240410682*p^92*q^1428+ 19898102*p^90*q^1430+1498918*p^88*q^1432+66734*p^86*q^1434+2116*p^84*q^1436+2*p ^80*q^1440+8*p^119*q^1400+21920*p^117*q^1402+632824*p^115*q^1404+10034950*p^113 *q^1406+136729044*p^111*q^1408+1856607782*p^109*q^1410+19122170602*p^107*q^1412 +140118259283*p^105*q^1414+556664609872*p^103*q^1416+716848301528*p^101*q^1418+ 284681620238*p^99*q^1420+54639736222*p^97*q^1422+7451500880*p^95*q^1424+ 831007444*p^93*q^1426+77036326*p^91*q^1428+6793050*p^89*q^1430+477666*p^87*q^ 1432+4152*p^85*q^1434+100*p^83*q^1436+4*p^122*q^1396+550*p^118*q^1400+291348*p^ 116*q^1402+1238840*p^114*q^1404+39866010*p^112*q^1406+487573414*p^110*q^1408+ 5789140882*p^108*q^1410+51849820216*p^106*q^1412+302570654264*p^104*q^1414+ 742655706505*p^102*q^1416+528524081712*p^100*q^1418+139755347545*p^98*q^1420+ 22096757530*p^96*q^1422+2727958001*p^94*q^1424+276510440*p^92*q^1426+22824021*p ^90*q^1428+1819000*p^88*q^1430+82822*p^86*q^1432+2912*p^84*q^1434+13780*p^117*q ^1400+776592*p^115*q^1402+8200506*p^113*q^1404+123825081*p^111*q^1406+ 1639548924*p^109*q^1408+17192817896*p^107*q^1410+128863703820*p^105*q^1412+ 537843639941*p^103*q^1414+742279135438*p^101*q^1416+311505598458*p^99*q^1418+ 61356136792*p^97*q^1420+8460574747*p^95*q^1422+958774936*p^93*q^1424+89013204*p ^91*q^1426+7358152*p^89*q^1428+508065*p^87*q^1430+11056*p^85*q^1432+208*p^83*q^ 1434+396*p^118*q^1398+179446*p^116*q^1400+1206108*p^114*q^1402+34596536*p^112*q ^1404+419988714*p^110*q^1406+5146097291*p^108*q^1408+46944684614*p^106*q^1410+ 282843703996*p^104*q^1412+741826429638*p^102*q^1414+564064673021*p^100*q^1416+ 155383094612*p^98*q^1418+24987035555*p^96*q^1420+3114362488*p^94*q^1422+ 317893594*p^92*q^1424+26825042*p^90*q^1426+2408384*p^88*q^1428+134156*p^86*q^ 1430+858*p^84*q^1432+4*p^82*q^1434+56*p^121*q^1394+6314*p^117*q^1398+869604*p^ 115*q^1400+6176620*p^113*q^1402+111439766*p^111*q^1404+1446629590*p^109*q^1406+ 15353718706*p^107*q^1408+118358008689*p^105*q^1410+517545736334*p^103*q^1412+ 767185722936*p^101*q^1414+340061376000*p^99*q^1416+68825783862*p^97*q^1418+ 9592906262*p^95*q^1420+1096827715*p^93*q^1422+102130674*p^91*q^1424+7962422*p^ 89*q^1426+495502*p^87*q^1428+13896*p^85*q^1430+788*p^83*q^1432+40*p^118*q^1396+ 105172*p^116*q^1398+1497344*p^114*q^1400+29772772*p^112*q^1402+369104083*p^110* q^1404+4567622916*p^108*q^1406+42553151204*p^106*q^1408+264569604938*p^104*q^ 1410+737102987849*p^102*q^1412+600314592064*p^100*q^1414+172069665888*p^98*q^ 1416+28173976034*p^96*q^1418+3539194294*p^94*q^1420+365575094*p^92*q^1422+ 31444623*p^90*q^1424+2761978*p^88*q^1426+176940*p^86*q^1428+1130*p^84*q^1430+6* p^82*q^1432+12*p^121*q^1392+4612*p^117*q^1396+801910*p^115*q^1398+4584664*p^113 *q^1400+100925478*p^111*q^1402+1268560572*p^109*q^1404+13744909808*p^107*q^1406 +108297691614*p^105*q^1408+496228691578*p^103*q^1410+788814621012*p^101*q^1412+ 370394828498*p^99*q^1414+77178623380*p^97*q^1416+10911788617*p^95*q^1418+ 1255907076*p^93*q^1420+118425255*p^91*q^1422+8862768*p^89*q^1424+681466*p^87*q^ 1426+24044*p^85*q^1428+460*p^83*q^1430+312*p^120*q^1392+44*p^118*q^1394+65832*p ^116*q^1396+1769882*p^114*q^1398+25063414*p^112*q^1400+323219660*p^110*q^1402+ 4055455399*p^108*q^1404+38433895612*p^106*q^1406+246383904884*p^104*q^1408+ 729469107272*p^102*q^1410+636673042553*p^100*q^1412+190781605908*p^98*q^1414+ 31800534086*p^96*q^1416+4024988750*p^94*q^1418+423527117*p^92*q^1420+36488942*p ^90*q^1422+3085684*p^88*q^1424+167024*p^86*q^1426+1944*p^84*q^1428+100*p^82*q^ 1430+4*p^119*q^1392+1424*p^117*q^1394+553880*p^115*q^1396+3997006*p^113*q^1398+ 89728452*p^111*q^1400+1108522844*p^109*q^1402+12258954592*p^107*q^1404+ 99081071533*p^105*q^1406+473783067386*p^103*q^1408+808627509089*p^101*q^1410+ 402605971104*p^99*q^1412+86357408484*p^97*q^1414+12356005786*p^95*q^1416+ 1434676423*p^93*q^1418+134599342*p^91*q^1420+10330583*p^89*q^1422+867452*p^87*q ^1424+48082*p^85*q^1426+54*p^83*q^1428+268*p^120*q^1390+35224*p^116*q^1394+ 2156638*p^114*q^1396+19875850*p^112*q^1398+287842946*p^110*q^1400+3600133058*p^ 108*q^1402+34715723639*p^106*q^1404+229346069378*p^104*q^1406+719810235951*p^ 102*q^1408+672403106794*p^100*q^1410+210713873159*p^98*q^1412+35817053256*p^96* q^1414+4577750470*p^94*q^1416+485667910*p^92*q^1418+42722754*p^90*q^1420+ 3167254*p^88*q^1422+166812*p^86*q^1424+2124*p^84*q^1426+158*p^82*q^1428+880*p^ 119*q^1390+1040*p^117*q^1392+429686*p^115*q^1394+3732850*p^113*q^1396+80518338* p^111*q^1398+971326298*p^109*q^1400+10947575331*p^107*q^1402+90373208946*p^105* q^1404+451198274605*p^103*q^1406+824375621008*p^101*q^1408+436336697884*p^99*q^ 1410+96591556184*p^97*q^1412+14020269099*p^95*q^1414+1640711066*p^93*q^1416+ 156807570*p^91*q^1418+12130134*p^89*q^1420+1140999*p^87*q^1422+59072*p^85*q^ 1424+188*p^83*q^1426+4*p^81*q^1428+12*p^120*q^1388+64*p^118*q^1390+21678*p^116* q^1392+1927320*p^114*q^1394+15826654*p^112*q^1396+254102756*p^110*q^1398+ 3179522627*p^108*q^1400+31257859740*p^106*q^1402+212337966860*p^104*q^1404+ 706913950302*p^102*q^1406+709208712465*p^100*q^1408+232596792162*p^98*q^1410+ 40395795898*p^96*q^1412+5211298564*p^94*q^1414+558906911*p^92*q^1416+48590504*p ^90*q^1418+3397442*p^88*q^1420+206614*p^86*q^1422+8420*p^84*q^1424+1996*p^119*q ^1388+164*p^117*q^1390+237536*p^115*q^1392+4345162*p^113*q^1394+69458278*p^111* q^1396+852368254*p^109*q^1398+9760338332*p^107*q^1400+82458037438*p^105*q^1402+ 427766349772*p^103*q^1404+838336421810*p^101*q^1406+471628801794*p^99*q^1408+ 107869839254*p^97*q^1410+15840537290*p^95*q^1412+1864394669*p^93*q^1414+ 181015136*p^91*q^1416+14537566*p^89*q^1418+1252270*p^87*q^1420+54244*p^85*q^ 1422+64*p^83*q^1424+28*p^81*q^1426+4*p^120*q^1386+1328*p^118*q^1388+11958*p^116 *q^1390+1765250*p^114*q^1392+12667140*p^112*q^1394+229067336*p^110*q^1396+ 2808510406*p^108*q^1398+28133435970*p^106*q^1400+196787442494*p^104*q^1402+ 690936947405*p^102*q^1404+744206768054*p^100*q^1406+256272301882*p^98*q^1408+ 45436052066*p^96*q^1410+5928198111*p^94*q^1412+642951890*p^92*q^1414+55760118*p ^90*q^1416+3738590*p^88*q^1418+315508*p^86*q^1420+14332*p^84*q^1422+8*p^82*q^ 1424+552*p^119*q^1386+484*p^117*q^1388+175870*p^115*q^1390+4637294*p^113*q^1392 +58929212*p^111*q^1394+746516192*p^109*q^1396+8693209008*p^107*q^1398+ 74997712134*p^105*q^1400+405040149482*p^103*q^1402+847665269588*p^101*q^1404+ 508427302503*p^99*q^1406+120338436022*p^97*q^1408+17934527921*p^95*q^1410+ 2125569584*p^93*q^1412+208154172*p^91*q^1414+17276404*p^89*q^1416+1285344*p^87* q^1418+44488*p^85*q^1420+780*p^83*q^1422+6908*p^118*q^1386+5274*p^116*q^1388+ 1257730*p^114*q^1390+11181882*p^112*q^1392+204972824*p^110*q^1394+2477356872*p^ 108*q^1396+25287760752*p^106*q^1398+181381548683*p^104*q^1400+673578877686*p^ 102*q^1402+777893973901*p^100*q^1404+281981663182*p^98*q^1406+51156662427*p^96* q^1408+6748819446*p^94*q^1410+736957143*p^92*q^1412+65138504*p^90*q^1414+ 4369918*p^88*q^1416+443128*p^86*q^1418+19816*p^84*q^1420+2*p^80*q^1424+160*p^ 119*q^1384+1380*p^117*q^1386+102168*p^115*q^1388+4826692*p^113*q^1390+48200854* p^111*q^1392+655247953*p^109*q^1394+7728847196*p^107*q^1396+68092887071*p^105*q ^1398+381646124712*p^103*q^1400+855381579153*p^101*q^1402+546683719164*p^99*q^ 1404+134050695747*p^97*q^1406+20276134028*p^95*q^1408+2421018135*p^93*q^1410+ 240164144*p^91*q^1412+19296813*p^89*q^1414+1309818*p^87*q^1416+56028*p^85*q^ 1418+2140*p^83*q^1420+5652*p^118*q^1384+2822*p^116*q^1386+940372*p^114*q^1388+ 10670350*p^112*q^1390+182692460*p^110*q^1392+2188100630*p^108*q^1394+ 22695771069*p^106*q^1396+167373230228*p^104*q^1398+653547961920*p^102*q^1400+ 811063204530*p^100*q^1402+308982589989*p^98*q^1404+57441642412*p^96*q^1406+ 7641677528*p^94*q^1408+840514352*p^92*q^1410+74890848*p^90*q^1412+5648334*p^88* q^1414+476246*p^86*q^1416+14512*p^84*q^1418+24*p^82*q^1420+16*p^119*q^1382+ 12208*p^117*q^1384+62966*p^115*q^1386+4498764*p^113*q^1388+40002709*p^111*q^ 1390+583157292*p^109*q^1392+6869168546*p^107*q^1394+61833424036*p^105*q^1396+ 358769082639*p^103*q^1398+857847850212*p^101*q^1400+586007761874*p^99*q^1402+ 149196181726*p^97*q^1404+22932796088*p^95*q^1406+2770146466*p^93*q^1408+ 278876582*p^91*q^1410+22504002*p^89*q^1412+1237035*p^87*q^1414+119538*p^85*q^ 1416+4420*p^83*q^1418+2128*p^118*q^1382+4784*p^116*q^1384+657868*p^114*q^1386+ 10664498*p^112*q^1388+158354012*p^110*q^1390+1915406450*p^108*q^1392+ 20328330844*p^106*q^1394+153586156933*p^104*q^1396+631694873994*p^102*q^1398+ 842105074369*p^100*q^1400+338875761732*p^98*q^1402+64524638907*p^96*q^1404+ 8689190620*p^94*q^1406+960998046*p^92*q^1408+86463992*p^90*q^1410+6539538*p^88* q^1412+563016*p^86*q^1414+6788*p^84*q^1416+200*p^82*q^1418+23656*p^117*q^1382+ 27336*p^115*q^1384+3645832*p^113*q^1386+33737938*p^111*q^1388+518085308*p^109*q ^1390+6105545914*p^107*q^1392+56008654287*p^105*q^1394+336351485452*p^103*q^ 1396+857851684579*p^101*q^1398+626463211064*p^99*q^1400+165766887293*p^97*q^ 1402+25871190572*p^95*q^1404+3143984193*p^93*q^1406+319134792*p^91*q^1408+ 25906826*p^89*q^1410+1532014*p^87*q^1412+135148*p^85*q^1414+5948*p^83*q^1416+ 800*p^118*q^1380+11962*p^116*q^1382+443014*p^114*q^1384+11384410*p^112*q^1386+ 136350473*p^110*q^1388+1688107144*p^108*q^1390+18204733943*p^106*q^1392+ 141177649434*p^104*q^1394+608403594081*p^102*q^1396+870228937246*p^100*q^1398+ 370034440924*p^98*q^1400+72369255644*p^96*q^1402+9845136713*p^94*q^1404+ 1099180530*p^92*q^1406+100529996*p^90*q^1408+7595616*p^88*q^1410+469466*p^86*q^ 1412+21868*p^84*q^1414+436*p^82*q^1416+4*p^119*q^1378+15700*p^117*q^1380+31090* p^115*q^1382+3019984*p^113*q^1384+28714024*p^111*q^1386+462352194*p^109*q^1388+ 5414402393*p^107*q^1390+50628952524*p^105*q^1392+314579259897*p^103*q^1394+ 853720407654*p^101*q^1396+667165703155*p^99*q^1398+184006240598*p^97*q^1400+ 29221143213*p^95*q^1402+3587178806*p^93*q^1404+367154237*p^91*q^1406+30103972*p ^89*q^1408+1988542*p^87*q^1410+203904*p^85*q^1412+1732*p^83*q^1414+8*p^81*q^ 1416+36*p^118*q^1378+48192*p^116*q^1380+263952*p^114*q^1382+10531018*p^112*q^ 1384+117020534*p^110*q^1386+1485595389*p^108*q^1388+16257121106*p^106*q^1390+ 129111246570*p^104*q^1392+584069105560*p^102*q^1394+896787843627*p^100*q^1396+ 403478174750*p^98*q^1398+81158884794*p^96*q^1400+11172111598*p^94*q^1402+ 1256247313*p^92*q^1404+116107846*p^90*q^1406+8677154*p^88*q^1408+405250*p^86*q^ 1410+29288*p^84*q^1412+1576*p^82*q^1414+9452*p^117*q^1378+20256*p^115*q^1380+ 2224054*p^113*q^1382+27381474*p^111*q^1384+406698231*p^109*q^1386+4786648172*p^ 107*q^1388+45747144681*p^105*q^1390+292936506532*p^103*q^1392+847120426345*p^ 101*q^1394+708945272474*p^99*q^1396+203817677441*p^97*q^1398+32952128720*p^95*q ^1400+4078670029*p^93*q^1402+420883966*p^91*q^1404+34877064*p^89*q^1406+2399436 *p^87*q^1408+223796*p^85*q^1410+2188*p^83*q^1412+12*p^81*q^1414+148*p^118*q^ 1376+60508*p^116*q^1378+186880*p^114*q^1380+9824778*p^112*q^1382+97391574*p^110 *q^1384+1318365732*p^108*q^1386+14544305673*p^106*q^1388+118188698658*p^104*q^ 1390+558156128712*p^102*q^1392+920327296278*p^100*q^1394+438778813982*p^98*q^ 1396+90775457582*p^96*q^1398+12640501636*p^94*q^1400+1430289146*p^92*q^1402+ 133760258*p^90*q^1404+9917960*p^88*q^1406+496188*p^86*q^1408+45656*p^84*q^1410+ 920*p^82*q^1412+2084*p^117*q^1376+58444*p^115*q^1378+1637904*p^113*q^1380+ 26245426*p^111*q^1382+361662218*p^109*q^1384+4232874107*p^107*q^1386+ 41241377804*p^105*q^1388+272717589307*p^103*q^1390+835245045172*p^101*q^1392+ 750268922850*p^99*q^1394+225501498254*p^97*q^1396+37171430509*p^95*q^1398+ 4643732146*p^93*q^1400+485905320*p^91*q^1402+40747780*p^89*q^1404+2893106*p^87* q^1406+167664*p^85*q^1408+5458*p^83*q^1410+200*p^81*q^1412+16*p^118*q^1374+ 53256*p^116*q^1376+137148*p^114*q^1378+8296544*p^112*q^1380+82849790*p^110*q^ 1382+1158831064*p^108*q^1384+12967665882*p^106*q^1386+107740299886*p^104*q^1388 +532178012306*p^102*q^1390+940020619573*p^100*q^1392+476522881506*p^98*q^1394+ 101619423724*p^96*q^1396+14323419274*p^94*q^1398+1635371261*p^92*q^1400+ 153446396*p^90*q^1402+11637628*p^88*q^1404+624628*p^86*q^1406+83888*p^84*q^1408 +84*p^82*q^1410+1744*p^117*q^1374+121246*p^115*q^1376+1092336*p^113*q^1378+ 25196530*p^111*q^1380+313792874*p^109*q^1382+3746662826*p^107*q^1384+ 37118317786*p^105*q^1386+252743292140*p^103*q^1388+822397535491*p^101*q^1390+ 791387292562*p^99*q^1392+249103092403*p^97*q^1394+41848926400*p^95*q^1396+ 5276433015*p^93*q^1398+553859328*p^91*q^1400+47255737*p^89*q^1402+3162634*p^87* q^1404+134281*p^85*q^1406+5060*p^83*q^1408+316*p^81*q^1410+26926*p^116*q^1374+ 108736*p^114*q^1376+6906118*p^112*q^1378+73572654*p^110*q^1380+1031470940*p^108 *q^1382+11546526464*p^106*q^1384+98307044776*p^104*q^1386+505320296143*p^102*q^ 1388+957258827934*p^100*q^1390+515220703031*p^98*q^1392+113444666952*p^96*q^ 1394+16193464489*p^94*q^1396+1861685966*p^92*q^1398+178121035*p^90*q^1400+ 13479668*p^88*q^1402+873722*p^86*q^1404+78232*p^84*q^1406+728*p^82*q^1408+8*p^ 80*q^1410+732*p^117*q^1372+163542*p^115*q^1374+850504*p^113*q^1376+23618772*p^ 111*q^1378+270446284*p^109*q^1380+3306484403*p^107*q^1382+33429613566*p^105*q^ 1384+234044190624*p^103*q^1386+804682769228*p^101*q^1388+832020885905*p^99*q^ 1390+274516366274*p^97*q^1392+47164327083*p^95*q^1394+5995979650*p^93*q^1396+ 636106200*p^91*q^1398+54051620*p^89*q^1400+3742818*p^87*q^1402+126546*p^85*q^ 1404+19811*p^83*q^1406+13292*p^116*q^1372+174732*p^114*q^1374+5238788*p^112*q^ 1376+66077820*p^110*q^1378+913116306*p^108*q^1380+10276505808*p^106*q^1382+ 89251192998*p^104*q^1384+478240016302*p^102*q^1386+970134539266*p^100*q^1388+ 556733228226*p^98*q^1390+126720476868*p^96*q^1392+18330998612*p^94*q^1394+ 2126986898*p^92*q^1396+206623624*p^90*q^1398+16081459*p^88*q^1400+986622*p^86*q ^1402+66014*p^84*q^1404+176*p^82*q^1406+56*p^80*q^1408+44*p^117*q^1370+145532*p ^115*q^1372+549408*p^113*q^1374+21538948*p^111*q^1376+231604898*p^109*q^1378+ 2919444530*p^107*q^1380+29979161882*p^105*q^1382+216038491788*p^103*q^1384+ 785596471761*p^101*q^1386+871851778838*p^99*q^1388+302197773898*p^97*q^1390+ 52981541862*p^95*q^1392+6802220209*p^93*q^1394+724069652*p^91*q^1396+61314394*p ^89*q^1398+4185184*p^87*q^1400+203384*p^85*q^1402+25484*p^83*q^1404+44*p^81*q^ 1406+4*p^118*q^1368+9884*p^116*q^1370+280438*p^114*q^1372+4119772*p^112*q^1374+ 61195594*p^110*q^1376+809839592*p^108*q^1378+9150224293*p^106*q^1380+ 81200705674*p^104*q^1382+451393253253*p^102*q^1384+979162477060*p^100*q^1386+ 598952134217*p^98*q^1388+141150878546*p^96*q^1390+20727609492*p^94*q^1392+ 2421116370*p^92*q^1394+237593914*p^90*q^1396+19040102*p^88*q^1398+1174140*p^86* q^1400+30978*p^84*q^1402+2532*p^82*q^1404+12*p^117*q^1368+84884*p^115*q^1370+ 507538*p^113*q^1372+18715580*p^111*q^1374+201332584*p^109*q^1376+2579796243*p^ 107*q^1378+26893027458*p^105*q^1380+199092628920*p^103*q^1382+762804618762*p^ 101*q^1384+909309913006*p^99*q^1386+331970182766*p^97*q^1388+59602785715*p^95*q ^1390+7721127188*p^93*q^1392+829633744*p^91*q^1394+72283850*p^89*q^1396+4908591 *p^87*q^1398+269900*p^85*q^1400+32296*p^83*q^1402+4*p^79*q^1406+2236*p^116*q^ 1368+407824*p^114*q^1370+2956180*p^112*q^1372+56529684*p^110*q^1374+707043314*p ^108*q^1376+8117064362*p^106*q^1378+73534637202*p^104*q^1380+424787196140*p^102 *q^1382+984661933917*p^100*q^1384+643214170484*p^98*q^1386+157224983003*p^96*q^ 1388+23444494876*p^94*q^1390+2761871530*p^92*q^1392+273530846*p^90*q^1394+ 20989472*p^88*q^1396+1333530*p^86*q^1398+32128*p^84*q^1400+5372*p^82*q^1402+2*p ^121*q^1362+132*p^117*q^1366+67600*p^115*q^1368+441104*p^113*q^1370+15663546*p^ 111*q^1372+176284256*p^109*q^1374+2286626446*p^107*q^1376+24091525569*p^105*q^ 1378+182885919178*p^103*q^1380+738998152561*p^101*q^1382+946194952468*p^99*q^ 1384+363766400478*p^97*q^1386+66905233556*p^95*q^1388+8737788520*p^93*q^1390+ 946446016*p^91*q^1392+83636398*p^89*q^1394+6288304*p^87*q^1396+326998*p^85*q^ 1398+18488*p^83*q^1400+120*p^81*q^1402+792*p^116*q^1366+352814*p^114*q^1368+ 2375222*p^112*q^1370+52686014*p^110*q^1372+617538762*p^108*q^1374+7203448772*p^ 106*q^1376+66640013830*p^104*q^1378+398180262756*p^102*q^1380+986162596770*p^ 100*q^1382+688243372397*p^98*q^1384+174774496914*p^96*q^1386+26457152874*p^94*q ^1388+3146743164*p^92*q^1390+313436328*p^90*q^1392+23932362*p^88*q^1394+1359491 *p^86*q^1396+59116*p^84*q^1398+9256*p^82*q^1400+16*p^117*q^1364+31160*p^115*q^ 1366+696992*p^113*q^1368+12670120*p^111*q^1370+156040648*p^109*q^1372+ 2029538645*p^107*q^1374+21568060192*p^105*q^1376+168038514920*p^103*q^1378+ 711802391614*p^101*q^1380+979718080093*p^99*q^1382+398119544626*p^97*q^1384+ 75024849887*p^95*q^1386+9924407648*p^93*q^1388+1079950165*p^91*q^1390+98192636* p^89*q^1392+7348478*p^87*q^1394+439584*p^85*q^1396+4240*p^83*q^1398+744*p^81*q^ 1400+33*p^120*q^1360+1236*p^116*q^1364+298906*p^114*q^1366+1719916*p^112*q^1368 +47400382*p^110*q^1370+539022190*p^108*q^1372+6371088918*p^106*q^1374+ 60164480829*p^104*q^1376+372633218420*p^102*q^1378+982282429136*p^100*q^1380+ 734816347352*p^98*q^1382+194164247997*p^96*q^1384+29926420110*p^94*q^1386+ 3570854494*p^92*q^1388+360249442*p^90*q^1390+27637270*p^88*q^1392+1732116*p^86* q^1394+68380*p^84*q^1396+11178*p^82*q^1398+4*p^117*q^1362+13364*p^115*q^1364+ 876972*p^113*q^1366+10032306*p^111*q^1368+140340762*p^109*q^1370+1786922092*p^ 107*q^1372+19271785435*p^105*q^1374+153731428492*p^103*q^1376+684915477591*p^ 101*q^1378+1010907723600*p^99*q^1380+434623322818*p^97*q^1382+84144402878*p^95* q^1384+11234634081*p^93*q^1386+1236203258*p^91*q^1388+113127432*p^89*q^1390+ 8151180*p^87*q^1392+413296*p^85*q^1394+9384*p^83*q^1396+1250*p^81*q^1398+684*p^ 116*q^1362+213944*p^114*q^1364+1450506*p^112*q^1366+42070132*p^110*q^1368+ 470282554*p^108*q^1370+5661778919*p^106*q^1372+54325089062*p^104*q^1374+ 347552661515*p^102*q^1376+976482778114*p^100*q^1378+780864308439*p^98*q^1380+ 215155810840*p^96*q^1382+33693333445*p^94*q^1384+4054277570*p^92*q^1386+ 409153106*p^90*q^1388+32354526*p^88*q^1390+2307350*p^86*q^1392+120844*p^84*q^ 1394+2084*p^82*q^1396+52*p^80*q^1398+227*p^119*q^1358+8716*p^115*q^1362+897688* p^113*q^1364+8121580*p^111*q^1366+128512084*p^109*q^1368+1582397909*p^107*q^ 1370+17206963930*p^105*q^1372+140670952383*p^103*q^1374+654910979842*p^101*q^ 1376+1039143390830*p^99*q^1378+473020746686*p^97*q^1380+94285462342*p^95*q^1382 +12757230926*p^93*q^1384+1415853741*p^91*q^1386+132149684*p^89*q^1388+9138996*p ^87*q^1390+422942*p^85*q^1392+10622*p^83*q^1394+4064*p^81*q^1396+108*p^116*q^ 1360+115206*p^114*q^1362+1713820*p^112*q^1364+35241004*p^110*q^1366+409766598*p ^108*q^1368+5002635302*p^106*q^1370+48936230716*p^104*q^1372+323125331338*p^102 *q^1374+965092520029*p^100*q^1376+828710590532*p^98*q^1378+238350180172*p^96*q^ 1380+38009566256*p^94*q^1382+4611174830*p^92*q^1384+469091552*p^90*q^1386+ 38106941*p^88*q^1388+2738122*p^86*q^1390+136236*p^84*q^1392+876*p^82*q^1394+52* p^80*q^1396+56*p^119*q^1356+8052*p^115*q^1360+848052*p^113*q^1362+5883430*p^111 *q^1364+116959446*p^109*q^1366+1388258492*p^107*q^1368+15342523283*p^105*q^1370 +128231651456*p^103*q^1372+625372455960*p^101*q^1374+1064154377412*p^99*q^1376+ 514369744173*p^97*q^1378+105379784764*p^95*q^1380+14442247395*p^93*q^1382+ 1604386968*p^91*q^1384+150980259*p^89*q^1386+10041334*p^87*q^1388+573308*p^85*q ^1390+21784*p^83*q^1392+1598*p^81*q^1394+845*p^118*q^1356+24*p^116*q^1358+68692 *p^114*q^1360+1915660*p^112*q^1362+30612308*p^110*q^1364+362005948*p^108*q^1366 +4449770227*p^106*q^1368+44085489052*p^104*q^1370+300082179055*p^102*q^1372+ 950383562416*p^100*q^1374+875233597707*p^98*q^1376+263299723392*p^96*q^1378+ 42791369174*p^94*q^1380+5228375958*p^92*q^1382+539936197*p^90*q^1384+45177888*p ^88*q^1386+3213632*p^86*q^1388+125824*p^84*q^1390+1484*p^82*q^1392+776*p^80*q^ 1394+4*p^117*q^1356+2736*p^115*q^1358+609740*p^113*q^1360+5101544*p^111*q^1362+ 104123710*p^109*q^1364+1220712714*p^107*q^1366+13646755654*p^105*q^1368+ 116888153224*p^103*q^1370+593957787140*p^101*q^1372+1084388777376*p^99*q^1374+ 557372412380*p^97*q^1376+117962832321*p^95*q^1378+16361998670*p^93*q^1380+ 1833918246*p^91*q^1382+172558510*p^89*q^1384+11804294*p^87*q^1386+754962*p^85*q ^1388+36968*p^83*q^1390+36*p^81*q^1392+736*p^118*q^1354+4*p^116*q^1356+50912*p^ 114*q^1358+2192744*p^112*q^1360+24170776*p^110*q^1362+323916244*p^108*q^1364+ 3928177618*p^106*q^1366+39612317203*p^104*q^1368+277828160846*p^102*q^1370+ 932336126315*p^100*q^1372+921510462300*p^98*q^1374+290795807697*p^96*q^1376+ 48171277320*p^94*q^1378+5944556600*p^92*q^1380+616193590*p^90*q^1382+53402034*p ^88*q^1384+3357804*p^86*q^1386+124278*p^84*q^1388+2000*p^82*q^1390+764*p^80*q^ 1392+1848*p^117*q^1354+1024*p^115*q^1356+426028*p^113*q^1358+4409980*p^111*q^ 1360+93744235*p^109*q^1362+1065744654*p^107*q^1364+12148387458*p^105*q^1366+ 106171418642*p^103*q^1368+563415508749*p^101*q^1370+1101600376546*p^99*q^1372+ 602502449407*p^97*q^1374+131636480890*p^95*q^1376+18512238641*p^93*q^1378+ 2082541918*p^91*q^1380+198309521*p^89*q^1382+13840074*p^87*q^1384+1030754*p^85* q^1386+39584*p^83*q^1388+160*p^81*q^1390+60*p^79*q^1392+52*p^118*q^1352+124*p^ 116*q^1354+33608*p^114*q^1356+2061432*p^112*q^1358+19979710*p^110*q^1360+ 287651050*p^108*q^1362+3484360782*p^106*q^1364+35573541344*p^104*q^1366+ 256459493057*p^102*q^1368+911723975724*p^100*q^1370+967280357804*p^98*q^1372+ 320017287704*p^96*q^1374+54196239128*p^94*q^1376+6748159890*p^92*q^1378+ 703356270*p^90*q^1380+60973202*p^88*q^1382+3650170*p^86*q^1384+155176*p^84*q^ 1386+6950*p^82*q^1388+3930*p^117*q^1352+184*p^115*q^1354+273390*p^113*q^1356+ 4772578*p^111*q^1358+81379354*p^109*q^1360+943175804*p^107*q^1362+10803716448*p ^105*q^1364+96462237636*p^103*q^1366+531550496206*p^101*q^1368+1113860815318*p^ 99*q^1370+649437144586*p^97*q^1372+146838283017*p^95*q^1374+20918088344*p^93*q^ 1376+2371267799*p^91*q^1378+229114134*p^89*q^1380+17218598*p^87*q^1382+1191320* p^85*q^1384+37932*p^83*q^1386+56*p^81*q^1388+213*p^79*q^1390+52*p^118*q^1350+ 2425*p^116*q^1352+15664*p^114*q^1354+1736766*p^112*q^1356+15778122*p^110*q^1358 +258747574*p^108*q^1360+3067600402*p^106*q^1362+31868383104*p^104*q^1364+ 236455242326*p^102*q^1366+885851218176*p^100*q^1368+1011866285692*p^98*q^1370+ 352257356197*p^96*q^1372+60955451972*p^94*q^1374+7686958627*p^92*q^1376+ 804598008*p^90*q^1378+70194338*p^88*q^1380+3932060*p^86*q^1382+245892*p^84*q^ 1384+8692*p^82*q^1386+8*p^80*q^1388+1134*p^117*q^1350+1184*p^115*q^1352+216070* p^113*q^1354+4991184*p^111*q^1356+69186400*p^109*q^1358+827050496*p^107*q^1360+ 9599258622*p^105*q^1362+87370149618*p^103*q^1364+501040896253*p^101*q^1366+ 1121961635414*p^99*q^1368+698545445328*p^97*q^1370+163553123826*p^95*q^1372+ 23622418322*p^93*q^1374+2685862676*p^91*q^1376+261511679*p^89*q^1378+20426910*p ^87*q^1380+1268640*p^85*q^1382+26264*p^83*q^1384+764*p^81*q^1386+11028*p^116*q^ 1350+5704*p^114*q^1352+1294494*p^112*q^1354+13460654*p^110*q^1356+233722212*p^ 108*q^1358+2711080327*p^106*q^1360+28552670080*p^104*q^1362+217392033830*p^102* q^1364+860044503330*p^100*q^1366+1052895823625*p^98*q^1368+386490902892*p^96*q^ 1370+68422487504*p^94*q^1372+8712560710*p^92*q^1374+917755516*p^90*q^1376+ 81202186*p^88*q^1378+4743115*p^86*q^1380+357452*p^84*q^1382+13312*p^82*q^1384+ 32*p^78*q^1388+758*p^117*q^1348+2454*p^115*q^1350+139160*p^113*q^1352+4941924*p ^111*q^1354+58661216*p^109*q^1356+728698614*p^107*q^1358+8528308920*p^105*q^ 1360+79118958634*p^103*q^1362+469980077714*p^101*q^1364+1125318452654*p^99*q^ 1366+748475273704*p^97*q^1368+182023501942*p^95*q^1370+26700754798*p^93*q^1372+ 3068047507*p^91*q^1374+300021768*p^89*q^1376+23685712*p^87*q^1378+1294914*p^85* q^1380+38440*p^83*q^1382+1224*p^81*q^1384+8052*p^116*q^1348+6844*p^114*q^1350+ 970782*p^112*q^1352+12530092*p^110*q^1354+206489076*p^108*q^1356+2394496380*p^ 106*q^1358+25514012970*p^104*q^1360+199426785168*p^102*q^1362+829675378173*p^ 100*q^1364+1093699085862*p^98*q^1366+423321419045*p^96*q^1368+76900180104*p^94* q^1370+9880451619*p^92*q^1372+1044765728*p^90*q^1374+94266294*p^88*q^1376+ 6131994*p^86*q^1378+414034*p^84*q^1380+6804*p^82*q^1382+32*p^80*q^1384+122*p^ 117*q^1346+17656*p^115*q^1348+71958*p^113*q^1350+4461688*p^111*q^1352+47438762* p^109*q^1354+649194016*p^107*q^1356+7542182033*p^105*q^1358+71441065742*p^103*q ^1360+440180629056*p^101*q^1362+1124275188194*p^99*q^1364+800448729348*p^97*q^ 1366+202239719334*p^95*q^1368+30102772751*p^93*q^1370+3493632620*p^91*q^1372+ 342382437*p^89*q^1374+27135486*p^87*q^1376+1208412*p^85*q^1378+79926*p^83*q^ 1380+2948*p^81*q^1382+2*p^77*q^1386+5376*p^116*q^1346+8490*p^114*q^1348+779546* p^112*q^1350+12051462*p^110*q^1352+183894010*p^108*q^1354+2108066327*p^106*q^ 1356+22828928658*p^104*q^1358+182745086902*p^102*q^1360+798908524304*p^100*q^ 1362+1130349077239*p^98*q^1364+462575339024*p^96*q^1366+86118936026*p^94*q^1368 +11202948248*p^92*q^1370+1183325540*p^90*q^1372+108708812*p^88*q^1374+7445287*p ^86*q^1376+505480*p^84*q^1378+3762*p^82*q^1380+128*p^80*q^1382+27258*p^115*q^ 1346+43856*p^113*q^1348+3592334*p^111*q^1350+40794828*p^109*q^1352+576649840*p^ 107*q^1354+6704256916*p^105*q^1356+64466320187*p^103*q^1358+410580567980*p^101* q^1360+1117732799227*p^99*q^1362+852557862434*p^97*q^1364+224554291405*p^95*q^ 1366+34016899008*p^93*q^1368+3976333599*p^91*q^1370+394424222*p^89*q^1372+ 31902562*p^87*q^1374+1534614*p^85*q^1376+99678*p^83*q^1378+2704*p^81*q^1380+ 2429*p^116*q^1344+18408*p^114*q^1346+515132*p^112*q^1348+11881518*p^110*q^1350+ 156836172*p^108*q^1352+1854955442*p^106*q^1354+20330418744*p^104*q^1356+ 166973144824*p^102*q^1358+765328065239*p^100*q^1360+1164083935702*p^98*q^1362+ 504758323932*p^96*q^1364+96581886934*p^94*q^1366+12685805210*p^92*q^1368+ 1354926092*p^90*q^1370+123853079*p^88*q^1372+8632296*p^86*q^1374+419634*p^84*q^ 1376+12140*p^82*q^1378+304*p^80*q^1380+48*p^117*q^1342+23454*p^115*q^1344+51162 *p^113*q^1346+3030914*p^111*q^1348+34644488*p^109*q^1350+518200812*p^107*q^1352 +5937712687*p^105*q^1354+58078369064*p^103*q^1356+382586792350*p^101*q^1358+ 1108006707520*p^99*q^1360+905446762210*p^97*q^1362+248761116482*p^95*q^1364+ 38303275551*p^93*q^1366+4522369786*p^91*q^1368+445849759*p^89*q^1370+37473684*p ^87*q^1372+2027420*p^85*q^1374+155744*p^83*q^1376+392*p^81*q^1378+8*p^79*q^1380 +184*p^116*q^1342+50880*p^114*q^1344+313182*p^112*q^1346+10812736*p^110*q^1348+ 135597646*p^108*q^1350+1635674437*p^106*q^1352+18134892348*p^104*q^1354+ 152301315210*p^102*q^1356+731623310346*p^100*q^1358+1194029210929*p^98*q^1360+ 548924762012*p^96*q^1362+108082548613*p^94*q^1364+14366457242*p^92*q^1366+ 1544462745*p^90*q^1368+142735568*p^88*q^1370+10021590*p^86*q^1372+366454*p^84*q ^1374+17738*p^82*q^1376+768*p^80*q^1378+18399*p^115*q^1342+37298*p^113*q^1344+ 2457558*p^111*q^1346+31840614*p^109*q^1348+459083340*p^107*q^1350+5258843618*p^ 105*q^1352+52287112504*p^103*q^1354+354865492344*p^101*q^1356+1093297713859*p^ 99*q^1358+958765740930*p^97*q^1360+275161112433*p^95*q^1362+43177982040*p^93*q^ 1364+5145818042*p^91*q^1366+508973446*p^89*q^1368+43540394*p^87*q^1370+2528960* p^85*q^1372+180808*p^83*q^1374+1072*p^81*q^1376+8*p^79*q^1378+796*p^116*q^1340+ 63180*p^114*q^1342+264877*p^112*q^1344+9462024*p^110*q^1346+114456482*p^108*q^ 1348+1449844572*p^106*q^1350+16137125463*p^104*q^1352+138721289290*p^102*q^1354 +695421235507*p^100*q^1356+1219955835066*p^98*q^1358+596103839785*p^96*q^1360+ 120985434690*p^94*q^1362+16270089576*p^92*q^1364+1760840938*p^90*q^1366+ 164109893*p^88*q^1368+11832678*p^86*q^1370+459245*p^84*q^1372+28608*p^82*q^1374 +112*p^80*q^1376+4654*p^115*q^1340+66077*p^113*q^1342+1732358*p^111*q^1344+ 29345252*p^109*q^1346+405444388*p^107*q^1348+4636270603*p^105*q^1350+ 46942761300*p^103*q^1352+329022821525*p^101*q^1354+1073600472064*p^99*q^1356+ 1012117813199*p^97*q^1358+304159172366*p^95*q^1360+48599543298*p^93*q^1362+ 5835892536*p^91*q^1364+581568115*p^89*q^1366+49877160*p^87*q^1368+2968338*p^85* q^1370+133676*p^83*q^1372+2576*p^81*q^1374+120*p^79*q^1376+88*p^116*q^1338+ 73734*p^114*q^1340+210178*p^112*q^1342+8398338*p^110*q^1344+98326814*p^108*q^ 1346+1287716612*p^106*q^1348+14386145736*p^104*q^1350+126140536103*p^102*q^1352 +660881388720*p^100*q^1354+1240752118013*p^98*q^1356+645017419664*p^96*q^1358+ 135053472873*p^94*q^1360+18380746958*p^92*q^1362+2007768955*p^90*q^1364+ 185143158*p^88*q^1366+14186203*p^86*q^1368+615356*p^84*q^1370+56634*p^82*q^1372 +40*p^80*q^1374+5942*p^115*q^1338+108352*p^113*q^1340+1300394*p^111*q^1342+ 26761910*p^109*q^1344+356340309*p^107*q^1346+4104120708*p^105*q^1348+ 42111179665*p^103*q^1350+303767997344*p^101*q^1352+1051442924401*p^99*q^1354+ 1062755626022*p^97*q^1356+335578365805*p^95*q^1358+54744093894*p^93*q^1360+ 6647219449*p^91*q^1362+664274818*p^89*q^1364+58585657*p^87*q^1366+3500644*p^85* q^1368+111294*p^83*q^1370+2544*p^81*q^1372+24*p^79*q^1374+38660*p^114*q^1338+ 156016*p^112*q^1340+6980814*p^110*q^1342+86104306*p^108*q^1344+1139267144*p^106 *q^1346+12768025864*p^104*q^1348+114431753360*p^102*q^1350+624074620992*p^100*q ^1352+1258141034422*p^98*q^1354+696900150158*p^96*q^1356+150810125174*p^94*q^ 1358+20806415167*p^92*q^1360+2289534124*p^90*q^1362+212185946*p^88*q^1364+ 16470524*p^86*q^1366+791458*p^84*q^1368+55876*p^82*q^1370+260*p^80*q^1372+8*p^ 78*q^1374+2200*p^115*q^1336+172961*p^113*q^1338+1062610*p^111*q^1340+23933312*p ^109*q^1342+307366998*p^107*q^1344+3628695415*p^105*q^1346+37731949506*p^103*q^ 1348+280089146953*p^101*q^1350+1024800615050*p^99*q^1352+1114767842026*p^97*q^ 1354+369007494356*p^95*q^1356+61552393259*p^93*q^1358+7525756676*p^91*q^1360+ 756888542*p^89*q^1362+65839308*p^87*q^1364+4151823*p^85*q^1366+119064*p^83*q^ 1368+10516*p^81*q^1370+30208*p^114*q^1336+175928*p^112*q^1338+5494492*p^110*q^ 1340+76971264*p^108*q^1342+1018970041*p^106*q^1344+11348452824*p^104*q^1346+ 103751205742*p^102*q^1348+588748723666*p^100*q^1350+1269394577361*p^98*q^1352+ 750359672714*p^96*q^1354+168099686157*p^94*q^1356+23484149656*p^92*q^1358+ 2609141845*p^90*q^1360+243352724*p^88*q^1362+19760880*p^86*q^1364+969872*p^84*q ^1366+46424*p^82*q^1368+80*p^80*q^1370+2*p^78*q^1372+300*p^115*q^1334+158626*p^ 113*q^1336+778600*p^111*q^1338+21669428*p^109*q^1340+266319070*p^107*q^1342+ 3204585724*p^105*q^1344+33796730971*p^103*q^1346+257538015572*p^101*q^1348+ 994730275297*p^99*q^1350+1163004754084*p^97*q^1352+405866503891*p^95*q^1354+ 69158834390*p^93*q^1356+8553800783*p^91*q^1358+867079298*p^89*q^1360+74963461*p ^87*q^1362+4922604*p^85*q^1364+171392*p^83*q^1366+15516*p^81*q^1368+12*p^79*q^ 1370+44*p^116*q^1332+21204*p^114*q^1334+269695*p^112*q^1336+4480786*p^110*q^ 1338+68253840*p^108*q^1340+897208380*p^106*q^1342+10067152993*p^104*q^1344+ 93798308304*p^102*q^1346+552814049743*p^100*q^1348+1275664267708*p^98*q^1350+ 806211958282*p^96*q^1352+187327107448*p^94*q^1354+26554078161*p^92*q^1356+ 2972743606*p^90*q^1358+277270593*p^88*q^1360+23217746*p^86*q^1362+1149214*p^84* q^1364+26312*p^82*q^1366+976*p^80*q^1368+216*p^115*q^1332+120668*p^113*q^1334+ 606070*p^111*q^1336+18666888*p^109*q^1338+232367564*p^107*q^1340+2838537478*p^ 105*q^1342+30196095514*p^103*q^1344+236506039974*p^101*q^1346+962342670398*p^99 *q^1348+1209256720358*p^97*q^1350+445103535514*p^95*q^1352+77636413181*p^93*q^ 1354+9683668962*p^91*q^1356+988133625*p^89*q^1358+85819722*p^87*q^1360+5845628* p^85*q^1362+230444*p^83*q^1364+19020*p^81*q^1366+5548*p^114*q^1332+380054*p^112 *q^1334+3560380*p^110*q^1336+61067872*p^108*q^1338+790598326*p^106*q^1340+ 8931889764*p^104*q^1342+84718227689*p^102*q^1344+518589912650*p^100*q^1346+ 1276982037272*p^98*q^1348+862740701968*p^96*q^1350+208228564835*p^94*q^1352+ 29983798708*p^92*q^1354+3382768312*p^90*q^1356+316702564*p^88*q^1358+25985803*p ^86*q^1360+1362328*p^84*q^1362+27084*p^82*q^1364+2620*p^80*q^1366+602*p^115*q^ 1330+111254*p^113*q^1332+518784*p^111*q^1334+15915322*p^109*q^1336+204536684*p^ 107*q^1338+2524448222*p^105*q^1340+26966074180*p^103*q^1342+216553611968*p^101* q^1344+927658327049*p^99*q^1346+1252876536332*p^97*q^1348+486931479451*p^95*q^ 1350+87176726628*p^93*q^1352+10975054576*p^91*q^1354+1130750054*p^89*q^1356+ 98712264*p^87*q^1358+7591002*p^85*q^1360+294264*p^83*q^1362+12632*p^81*q^1364+ 28*p^79*q^1366+4000*p^114*q^1330+355416*p^112*q^1332+2815402*p^110*q^1334+ 54485960*p^108*q^1336+690757704*p^106*q^1338+7898080648*p^104*q^1340+ 76419365604*p^102*q^1342+483457727219*p^100*q^1344+1273249839518*p^98*q^1346+ 921444795081*p^96*q^1348+231428188162*p^94*q^1350+33853562152*p^92*q^1352+ 3857495468*p^90*q^1354+363031150*p^88*q^1356+29421840*p^86*q^1358+1496824*p^84* q^1360+45042*p^82*q^1362+4360*p^80*q^1364+80*p^115*q^1328+49860*p^113*q^1330+ 691684*p^111*q^1332+13316237*p^109*q^1334+179016576*p^107*q^1336+2233950703*p^ 105*q^1338+24056883990*p^103*q^1340+197960426852*p^101*q^1342+890253592354*p^99 *q^1344+1293794689674*p^97*q^1346+532103039576*p^95*q^1348+97656014530*p^93*q^ 1350+12433108370*p^91*q^1352+1287110809*p^89*q^1354+112475970*p^87*q^1356+ 8797766*p^85*q^1358+367856*p^83*q^1360+3784*p^81*q^1362+268*p^79*q^1364+3838*p^ 114*q^1328+377100*p^112*q^1330+2082983*p^110*q^1332+48535516*p^108*q^1334+ 608460226*p^106*q^1336+7015906904*p^104*q^1338+68840812526*p^102*q^1340+ 451266269078*p^100*q^1342+1262693534620*p^98*q^1344+980409198006*p^96*q^1346+ 256560291928*p^94*q^1348+38143817000*p^92*q^1350+4371612752*p^90*q^1352+ 415196948*p^88*q^1354+33582774*p^86*q^1356+2010618*p^84*q^1358+59860*p^82*q^ 1360+6028*p^80*q^1362+4*p^115*q^1326+34958*p^113*q^1328+785724*p^111*q^1330+ 11143068*p^109*q^1332+157913312*p^107*q^1334+1975907950*p^105*q^1336+ 21443577719*p^103*q^1338+180557867666*p^101*q^1340+852020562315*p^99*q^1342+ 1328754421574*p^97*q^1344+579915364904*p^95*q^1346+109457571184*p^93*q^1348+ 14105478893*p^91*q^1350+1478523976*p^89*q^1352+129081358*p^87*q^1354+10116906*p ^85*q^1356+379194*p^83*q^1358+6826*p^81*q^1360+444*p^79*q^1362+2064*p^114*q^ 1326+258247*p^112*q^1328+1773926*p^110*q^1330+42330368*p^108*q^1332+532572682*p ^106*q^1334+6216818048*p^104*q^1336+61852152706*p^102*q^1338+418800105356*p^100 *q^1340+1249340154350*p^98*q^1342+1039788018422*p^96*q^1344+284442853404*p^94*q ^1346+43026234978*p^92*q^1348+4970219436*p^90*q^1350+472980479*p^88*q^1352+ 38783310*p^86*q^1354+2650500*p^84*q^1356+87544*p^82*q^1358+1580*p^80*q^1360+12* p^78*q^1362+4*p^115*q^1324+21187*p^113*q^1326+909838*p^111*q^1328+8930563*p^109 *q^1330+139737142*p^107*q^1332+1742939792*p^105*q^1334+19062043300*p^103*q^1336 +164476557552*p^101*q^1338+811677505560*p^99*q^1340+1361643410828*p^97*q^1342+ 630287910742*p^95*q^1344+122493547475*p^93*q^1346+15942249672*p^91*q^1348+ 1683411450*p^89*q^1350+147532282*p^87*q^1352+11131060*p^85*q^1354+422486*p^83*q ^1356+9400*p^81*q^1358+1624*p^79*q^1360+420*p^114*q^1324+186630*p^112*q^1326+ 1811890*p^110*q^1328+36817858*p^108*q^1330+469398422*p^106*q^1332+5512889160*p^ 104*q^1334+55633026958*p^102*q^1336+388444963986*p^100*q^1338+1229888477968*p^ 98*q^1340+1099446858720*p^96*q^1342+314232352708*p^94*q^1344+48420692944*p^92*q ^1346+5649272146*p^90*q^1348+542417544*p^88*q^1350+44457686*p^86*q^1352+3267486 *p^84*q^1354+103862*p^82*q^1356+660*p^80*q^1358+14*p^78*q^1360+17788*p^113*q^ 1324+853592*p^111*q^1326+6955054*p^109*q^1328+124221262*p^107*q^1330+1540170536 *p^105*q^1332+16979567617*p^103*q^1334+149440069470*p^101*q^1336+771201289049*p ^99*q^1338+1387467166482*p^97*q^1340+683746430763*p^95*q^1342+137051945830*p^93 *q^1344+18075030233*p^91*q^1346+1915518456*p^89*q^1348+169195387*p^87*q^1350+ 12778356*p^85*q^1352+631133*p^83*q^1354+14486*p^81*q^1356+920*p^79*q^1358+246*p ^114*q^1322+123477*p^112*q^1324+1901852*p^110*q^1326+31717575*p^108*q^1328+ 409040418*p^106*q^1330+4880291838*p^104*q^1332+49810442178*p^102*q^1334+ 358826131689*p^100*q^1336+1205882813044*p^98*q^1338+1158864234611*p^96*q^1340+ 347386783698*p^94*q^1342+54523865656*p^92*q^1344+6414168758*p^90*q^1346+ 625032188*p^88*q^1348+50939674*p^86*q^1350+3743192*p^84*q^1352+89760*p^82*q^ 1354+1296*p^80*q^1356+204*p^78*q^1358+40*p^115*q^1320+7724*p^113*q^1322+691262* p^111*q^1324+5957720*p^109*q^1326+108967986*p^107*q^1328+1359080121*p^105*q^ 1330+15091888932*p^103*q^1332+135674330529*p^101*q^1334+730129678928*p^99*q^ 1336+1409515244343*p^97*q^1338+739591811890*p^95*q^1340+152968380942*p^93*q^ 1342+20423542534*p^91*q^1344+2182847076*p^89*q^1346+191018754*p^87*q^1348+ 14766126*p^85*q^1350+851404*p^83*q^1352+25592*p^81*q^1354+28*p^79*q^1356+18*p^ 114*q^1320+91142*p^112*q^1322+2084927*p^110*q^1324+26161610*p^108*q^1326+ 363128384*p^106*q^1328+4323515018*p^104*q^1330+44640612763*p^102*q^1332+ 331191172038*p^100*q^1334+1177712751420*p^98*q^1336+1215957212026*p^96*q^1338+ 382749314943*p^94*q^1340+61362245774*p^92*q^1342+7283757106*p^90*q^1344+ 712505700*p^88*q^1346+58987318*p^86*q^1348+4088754*p^84*q^1350+115083*p^82*q^ 1352+1320*p^80*q^1354+316*p^78*q^1356+4224*p^113*q^1320+562064*p^111*q^1322+ 5148796*p^109*q^1324+96927345*p^107*q^1326+1195166012*p^105*q^1328+13414911828* p^103*q^1330+122884084458*p^101*q^1332+689394299497*p^99*q^1334+1425480288590*p ^97*q^1336+797739467133*p^95*q^1338+170758756126*p^93*q^1340+23079730716*p^91*q ^1342+2488975124*p^89*q^1344+221619406*p^87*q^1346+16860020*p^85*q^1348+1161864 *p^83*q^1350+23448*p^81*q^1352+144*p^79*q^1354+8*p^77*q^1356+580*p^114*q^1318+ 65062*p^112*q^1320+1944488*p^110*q^1322+21839354*p^108*q^1324+318076216*p^106*q ^1326+3827579224*p^104*q^1328+39944708372*p^102*q^1330+304314477264*p^100*q^ 1332+1145872897430*p^98*q^1334+1272691097051*p^96*q^1336+421265937706*p^94*q^ 1338+69030502360*p^92*q^1340+8281342752*p^90*q^1342+814721484*p^88*q^1344+ 66174272*p^86*q^1346+4783896*p^84*q^1348+161916*p^82*q^1350+4328*p^80*q^1352+ 1164*p^113*q^1318+380600*p^111*q^1320+4986010*p^109*q^1322+84255708*p^107*q^ 1324+1051590433*p^105*q^1326+11902049980*p^103*q^1328+111104925955*p^101*q^1330 +647908015554*p^99*q^1332+1436877238658*p^97*q^1334+858805372872*p^95*q^1336+ 190335022652*p^93*q^1338+26053993108*p^91*q^1340+2827866804*p^89*q^1342+ 255440696*p^87*q^1344+19747366*p^85*q^1346+1263316*p^83*q^1348+19767*p^81*q^ 1350+52*p^79*q^1352+56*p^77*q^1354+80*p^114*q^1316+39412*p^112*q^1318+1825998*p ^110*q^1320+18302136*p^108*q^1322+280507487*p^106*q^1324+3389716104*p^104*q^ 1326+35715010004*p^102*q^1328+279885260378*p^100*q^1330+1109711918932*p^98*q^ 1332+1326146398702*p^96*q^1334+462544853763*p^94*q^1336+77467938974*p^92*q^1338 +9378555892*p^90*q^1340+929515652*p^88*q^1342+74777834*p^86*q^1344+5337184*p^84 *q^1346+279094*p^82*q^1348+5744*p^80*q^1350+8*p^78*q^1352+3796*p^113*q^1316+ 326630*p^111*q^1318+4916544*p^109*q^1320+72802546*p^107*q^1322+931105470*p^105* q^1324+10571218875*p^103*q^1326+100347295528*p^101*q^1328+608241873974*p^99*q^ 1330+1439388049664*p^97*q^1332+921324130543*p^95*q^1334+211975905312*p^93*q^ 1336+29465027167*p^91*q^1338+3230227470*p^89*q^1340+293562994*p^87*q^1342+ 23150042*p^85*q^1344+1510586*p^83*q^1346+22724*p^81*q^1348+372*p^79*q^1350+22*p ^114*q^1314+18756*p^112*q^1316+1382922*p^110*q^1318+15244672*p^108*q^1320+ 247398198*p^106*q^1322+2985476619*p^104*q^1324+31851481978*p^102*q^1326+ 256026118579*p^100*q^1328+1072076657100*p^98*q^1330+1376724850387*p^96*q^1332+ 507381095454*p^94*q^1334+87084541620*p^92*q^1336+10641245100*p^90*q^1338+ 1059475392*p^88*q^1340+87021832*p^86*q^1342+6063884*p^84*q^1344+346064*p^82*q^ 1346+4292*p^80*q^1348+4*p^76*q^1352+2000*p^113*q^1314+239708*p^111*q^1316+ 4817665*p^109*q^1318+62443722*p^107*q^1320+815547398*p^105*q^1322+9384224702*p^ 103*q^1324+90447741642*p^101*q^1326+568522772626*p^99*q^1328+1439922117332*p^97 *q^1330+985172042992*p^95*q^1332+235633182366*p^93*q^1334+33227769518*p^91*q^ 1336+3669498920*p^89*q^1338+335027320*p^87*q^1340+25087346*p^85*q^1342+1718750* p^83*q^1344+44444*p^81*q^1346+1080*p^79*q^1348+4*p^114*q^1312+17848*p^112*q^ 1314+1182344*p^110*q^1316+13798806*p^108*q^1318+219107616*p^106*q^1320+ 2649179972*p^104*q^1322+28433074804*p^102*q^1324+234271581656*p^100*q^1326+ 1030515965378*p^98*q^1328+1424601741172*p^96*q^1330+554410992649*p^94*q^1332+ 97666061218*p^92*q^1334+12038201853*p^90*q^1336+1212954456*p^88*q^1338+ 100857004*p^86*q^1340+7689234*p^84*q^1342+418784*p^82*q^1344+2988*p^80*q^1346+8 *p^78*q^1348+552*p^113*q^1312+152432*p^111*q^1314+4231742*p^109*q^1316+52565682 *p^107*q^1318+717767602*p^105*q^1320+8314350135*p^103*q^1322+81462206346*p^101* q^1324+530038522080*p^99*q^1326+1431326192676*p^97*q^1328+1050974967666*p^95*q^ 1330+261735749172*p^93*q^1332+37502538247*p^91*q^1334+4189703930*p^89*q^1336+ 383254731*p^87*q^1338+28360908*p^85*q^1340+1764576*p^83*q^1342+77926*p^81*q^ 1344+804*p^79*q^1346+4*p^114*q^1310+19150*p^112*q^1312+1004868*p^110*q^1314+ 12878903*p^108*q^1316+191590048*p^106*q^1318+2338546284*p^104*q^1320+ 25332296704*p^102*q^1322+213570370671*p^100*q^1324+987569319160*p^98*q^1326+ 1467898199632*p^96*q^1328+605893285920*p^94*q^1330+109458750421*p^92*q^1332+ 13654761828*p^90*q^1334+1381512751*p^88*q^1336+116974904*p^86*q^1338+8730384*p^ 84*q^1340+548456*p^82*q^1342+3982*p^80*q^1344+136*p^78*q^1346+220*p^113*q^1310+ 93978*p^111*q^1312+3593560*p^109*q^1314+44484214*p^107*q^1316+632136658*p^105*q ^1318+7367141420*p^103*q^1320+73198590163*p^101*q^1322+492914892320*p^99*q^1324 +1418121990797*p^97*q^1326+1117484319494*p^95*q^1328+290254739753*p^93*q^1330+ 42294594756*p^91*q^1332+4745258673*p^89*q^1334+438939730*p^87*q^1336+32501746*p ^85*q^1338+2162176*p^83*q^1340+87700*p^81*q^1342+548*p^79*q^1344+4*p^114*q^1308 +7042*p^112*q^1310+781548*p^110*q^1312+11972342*p^108*q^1314+167546275*p^106*q^ 1316+2062597792*p^104*q^1318+22578201103*p^102*q^1320+194714731558*p^100*q^1322 +942754399773*p^98*q^1324+1505964379672*p^96*q^1326+659478313827*p^94*q^1328+ 122593039148*p^92*q^1330+15434987042*p^90*q^1332+1582418810*p^88*q^1334+ 133522858*p^86*q^1336+9516890*p^84*q^1338+553084*p^82*q^1340+12976*p^80*q^1342+ 84*p^78*q^1344+92*p^113*q^1308+107989*p^111*q^1310+3207940*p^109*q^1312+ 38897170*p^107*q^1314+559315992*p^105*q^1316+6534534251*p^103*q^1318+ 65712825366*p^101*q^1320+457382813417*p^99*q^1322+1399003313334*p^97*q^1324+ 1183040177957*p^95*q^1326+321485345498*p^93*q^1328+47701429631*p^91*q^1330+ 5399070234*p^89*q^1332+501350433*p^87*q^1334+38432338*p^85*q^1336+2849654*p^83* q^1338+145732*p^81*q^1340+146*p^79*q^1342+8*p^77*q^1344+36*p^114*q^1306+4274*p^ 112*q^1308+519520*p^110*q^1310+10401433*p^108*q^1312+143945886*p^106*q^1314+ 1815967806*p^104*q^1316+20052280876*p^102*q^1318+176825733553*p^100*q^1320+ 897155743872*p^98*q^1322+1539618832728*p^96*q^1324+716739131804*p^94*q^1326+ 137332999057*p^92*q^1328+17475116942*p^90*q^1330+1809628912*p^88*q^1332+ 153528128*p^86*q^1334+10361646*p^84*q^1336+551752*p^82*q^1338+13912*p^80*q^1340 +96*p^78*q^1342+140*p^113*q^1306+58856*p^111*q^1308+2822256*p^109*q^1310+ 34947772*p^107*q^1312+491940330*p^105*q^1314+5784585632*p^103*q^1316+ 58957368083*p^101*q^1318+422549681656*p^99*q^1320+1376194021631*p^97*q^1322+ 1250266710650*p^95*q^1324+355272650857*p^93*q^1326+53663372338*p^91*q^1328+ 6132565027*p^89*q^1330+571735912*p^87*q^1332+44465984*p^85*q^1334+3254440*p^83* q^1336+170892*p^81*q^1338+1312*p^79*q^1340+4*p^77*q^1342+1468*p^112*q^1306+ 470716*p^110*q^1308+9184400*p^108*q^1310+123732984*p^106*q^1312+1605654298*p^ 104*q^1314+17863429480*p^102*q^1316+160488483004*p^100*q^1318+850436730203*p^98 *q^1320+1567492279814*p^96*q^1322+776561150621*p^94*q^1324+153395055710*p^92*q^ 1326+19792369024*p^90*q^1328+2052908556*p^88*q^1330+176333866*p^86*q^1332+ 11693126*p^84*q^1334+756158*p^82*q^1336+26104*p^80*q^1338+514*p^113*q^1304+ 41821*p^111*q^1306+2249648*p^109*q^1308+31289602*p^107*q^1310+433758760*p^105*q ^1312+5120945736*p^103*q^1314+52781953756*p^101*q^1316+390518350822*p^99*q^1318 +1344382968128*p^97*q^1320+1315639212539*p^95*q^1322+392324273016*p^93*q^1324+ 60460098927*p^91*q^1326+6950349530*p^89*q^1328+662583022*p^87*q^1330+51512316*p ^85*q^1332+3632218*p^83*q^1334+167724*p^81*q^1336+2012*p^79*q^1338+8*p^77*q^ 1340+4*p^114*q^1302+1988*p^112*q^1304+345594*p^110*q^1306+8243738*p^108*q^1308+ 106925462*p^106*q^1310+1413491686*p^104*q^1312+15857025142*p^102*q^1314+ 145311347172*p^100*q^1316+803643821564*p^98*q^1318+1588869375528*p^96*q^1320+ 839974259168*p^94*q^1322+171457637248*p^92*q^1324+22383161138*p^90*q^1326+ 2350576688*p^88*q^1328+199346286*p^86*q^1330+13817214*p^84*q^1332+954632*p^82*q ^1334+42684*p^80*q^1336+60*p^78*q^1338+64*p^113*q^1302+18828*p^111*q^1304+ 1829862*p^109*q^1306+27126942*p^107*q^1308+378522460*p^105*q^1310+4523772524*p^ 103*q^1312+47198171051*p^101*q^1314+359173131102*p^99*q^1316+1312951295531*p^97 *q^1318+1378806202742*p^95*q^1320+432495327029*p^93*q^1322+67975648266*p^91*q^ 1324+7883536604*p^89*q^1326+751994018*p^87*q^1328+60063390*p^85*q^1330+3675296* p^83*q^1332+171034*p^81*q^1334+2436*p^79*q^1336+3604*p^112*q^1302+256020*p^110* q^1304+7381090*p^108*q^1306+95334621*p^106*q^1308+1248851516*p^104*q^1310+ 14106087506*p^102*q^1312+131525009484*p^100*q^1314+756993547244*p^98*q^1316+ 1604527821192*p^96*q^1318+904994307443*p^94*q^1320+191155347250*p^92*q^1322+ 25286092562*p^90*q^1324+2671798502*p^88*q^1326+231022060*p^86*q^1328+15962008*p ^84*q^1330+1264302*p^82*q^1332+50514*p^80*q^1334+228*p^78*q^1336+64*p^113*q^ 1300+16406*p^111*q^1302+1540036*p^109*q^1304+23752918*p^107*q^1306+328600176*p^ 105*q^1308+4005351019*p^103*q^1310+42198652582*p^101*q^1312+329885957216*p^99*q ^1314+1273334845760*p^97*q^1316+1441246323654*p^95*q^1318+475468686772*p^93*q^ 1320+76534388366*p^91*q^1322+8956534186*p^89*q^1324+864760652*p^87*q^1326+ 67937652*p^85*q^1328+4163132*p^83*q^1330+214436*p^81*q^1332+7710*p^79*q^1334+ 1564*p^112*q^1300+162670*p^110*q^1302+6225439*p^108*q^1304+83459250*p^106*q^ 1306+1101171486*p^104*q^1308+12492230768*p^102*q^1310+118621301019*p^100*q^1312 +710966967384*p^98*q^1314+1613122761727*p^96*q^1316+973619605722*p^94*q^1318+ 213201210641*p^92*q^1320+28564313036*p^90*q^1322+3036612437*p^88*q^1324+ 265385456*p^86*q^1326+19263732*p^84*q^1328+1314632*p^82*q^1330+47774*p^80*q^ 1332+72*p^78*q^1334+8*p^113*q^1298+20518*p^111*q^1300+1167398*p^109*q^1302+ 21211960*p^107*q^1304+286216111*p^105*q^1306+3539723340*p^103*q^1308+ 37666941061*p^101*q^1310+302369392714*p^99*q^1312+1232030550394*p^97*q^1314+ 1500379261690*p^95*q^1316+522276403459*p^93*q^1318+85877721284*p^91*q^1320+ 10158922021*p^89*q^1322+987744526*p^87*q^1324+77401080*p^85*q^1326+4540616*p^83 *q^1328+338282*p^81*q^1330+10280*p^79*q^1332+12*p^77*q^1334+646*p^112*q^1298+ 104784*p^110*q^1300+5520658*p^108*q^1302+72774067*p^106*q^1304+971084450*p^104* q^1306+11089632897*p^102*q^1308+106985907812*p^100*q^1310+665495147861*p^98*q^ 1312+1615623791066*p^96*q^1314+1043219507594*p^94*q^1316+237240318890*p^92*q^ 1318+32274255098*p^90*q^1320+3450276448*p^88*q^1322+304253024*p^86*q^1324+ 22585346*p^84*q^1326+1373166*p^82*q^1328+40072*p^80*q^1330+852*p^78*q^1332+ 14464*p^111*q^1298+935406*p^109*q^1300+18703590*p^107*q^1302+252893666*p^105*q^ 1304+3125660173*p^103*q^1306+33638133584*p^101*q^1308+276615698500*p^99*q^1310+ 1186693940842*p^97*q^1312+1554519109851*p^95*q^1314+572303005426*p^93*q^1316+ 96474560038*p^91*q^1318+11515838790*p^89*q^1320+1129338579*p^87*q^1322+89685086 *p^85*q^1324+5418232*p^83*q^1326+455800*p^81*q^1328+15626*p^79*q^1330+444*p^112 *q^1296+114904*p^110*q^1298+4424614*p^108*q^1300+63301918*p^106*q^1302+ 846303254*p^104*q^1304+9831757348*p^102*q^1306+96185058393*p^100*q^1308+ 621212477160*p^98*q^1310+1610812354831*p^96*q^1312+1115321198694*p^94*q^1314+ 263881808217*p^92*q^1316+36454428014*p^90*q^1318+3934198455*p^88*q^1320+ 350589132*p^86*q^1322+25360368*p^84*q^1324+1422344*p^82*q^1326+57674*p^80*q^ 1328+1324*p^78*q^1330+6482*p^111*q^1296+589962*p^109*q^1298+16819930*p^107*q^ 1300+221199388*p^105*q^1302+2767383842*p^103*q^1304+29929619660*p^101*q^1306+ 252284911770*p^99*q^1308+1140151827623*p^97*q^1310+1607067569726*p^95*q^1312+ 625625032606*p^93*q^1314+108217399488*p^91*q^1316+13030029308*p^89*q^1318+ 1284722450*p^87*q^1320+102639396*p^85*q^1322+6892240*p^83*q^1324+465604*p^81*q^ 1326+8864*p^79*q^1328+38*p^77*q^1330+28*p^112*q^1294+86196*p^110*q^1296+3872054 *p^108*q^1298+55208202*p^106*q^1300+745080504*p^104*q^1302+8716731197*p^102*q^ 1304+86605656906*p^100*q^1306+577911823203*p^98*q^1308+1600322046740*p^96*q^ 1310+1188067880875*p^94*q^1312+292841803386*p^92*q^1314+41070801484*p^90*q^1316 +4472758730*p^88*q^1318+401658678*p^86*q^1320+29073826*p^84*q^1322+1373698*p^82 *q^1324+124592*p^80*q^1326+3386*p^78*q^1328+4*p^113*q^1292+6076*p^111*q^1294+ 564658*p^109*q^1296+14510565*p^107*q^1298+194712106*p^105*q^1300+2441621869*p^ 103*q^1302+26670366462*p^101*q^1304+229898062668*p^99*q^1306+1089103617034*p^97 *q^1308+1652952436933*p^95*q^1310+682837453502*p^93*q^1312+121338265937*p^91*q^ 1314+14803402758*p^89*q^1316+1467043217*p^87*q^1318+119765442*p^85*q^1320+ 8064316*p^83*q^1322+550764*p^81*q^1324+5740*p^79*q^1326+132*p^77*q^1328+40*p^ 112*q^1292+53204*p^110*q^1294+2808884*p^108*q^1296+48895678*p^106*q^1298+ 652600939*p^104*q^1300+7711963124*p^102*q^1302+77666290127*p^100*q^1304+ 536807745156*p^98*q^1306+1580838039003*p^96*q^1308+1262390261366*p^94*q^1310+ 324984945944*p^92*q^1312+46369751508*p^90*q^1314+5069208845*p^88*q^1316+ 461210370*p^86*q^1318+33168118*p^84*q^1320+1755254*p^82*q^1322+131028*p^80*q^ 1324+2844*p^78*q^1326+52*p^113*q^1290+1344*p^111*q^1292+440929*p^109*q^1294+ 12811640*p^107*q^1296+168664070*p^105*q^1298+2146436634*p^103*q^1300+ 23713861731*p^101*q^1302+208886464356*p^99*q^1304+1039217637985*p^97*q^1306+ 1693807020556*p^95*q^1308+743345006626*p^93*q^1310+135867474616*p^91*q^1312+ 16721197225*p^89*q^1314+1676383084*p^87*q^1316+136450792*p^85*q^1318+9194260*p^ 83*q^1320+447066*p^81*q^1322+23016*p^79*q^1324+340*p^77*q^1326+44*p^112*q^1290+ 46282*p^110*q^1292+2349054*p^108*q^1294+43218084*p^106*q^1296+577104214*p^104*q ^1298+6850862569*p^102*q^1300+69667353454*p^100*q^1302+496943142505*p^98*q^1304 +1559149493374*p^96*q^1306+1334684812672*p^94*q^1308+359697334076*p^92*q^1310+ 52224031112*p^90*q^1312+5774407402*p^88*q^1314+524579871*p^86*q^1316+39074674*p ^84*q^1318+2282782*p^82*q^1320+190592*p^80*q^1322+500*p^78*q^1324+8*p^76*q^1326 +8*p^113*q^1288+1008*p^111*q^1290+321366*p^109*q^1292+10777322*p^107*q^1294+ 147438106*p^105*q^1296+1889651098*p^103*q^1298+21083653302*p^101*q^1300+ 189539576502*p^99*q^1302+985848136522*p^97*q^1304+1728802180167*p^95*q^1306+ 807083128456*p^93*q^1308+152135095735*p^91*q^1310+18958040516*p^89*q^1312+ 1910236145*p^87*q^1314+158522544*p^85*q^1316+10320484*p^83*q^1318+412764*p^81*q ^1320+29560*p^79*q^1322+768*p^77*q^1324+696*p^112*q^1288+22510*p^110*q^1290+ 2011853*p^108*q^1292+38004996*p^106*q^1294+506398673*p^104*q^1296+6052854882*p^ 102*q^1298+62381506948*p^100*q^1300+458745323270*p^98*q^1302+1528449991719*p^96 *q^1304+1409729913812*p^94*q^1306+397534110171*p^92*q^1308+58851422596*p^90*q^ 1310+6559150110*p^88*q^1312+603159646*p^86*q^1314+44802014*p^84*q^1316+2751904* p^82*q^1318+200922*p^80*q^1320+2292*p^78*q^1322+8*p^76*q^1324+24*p^113*q^1286+ 408*p^111*q^1288+262860*p^109*q^1290+8649340*p^107*q^1292+128457478*p^105*q^ 1294+1664365284*p^103*q^1296+18727479310*p^101*q^1298+171648253590*p^99*q^1300+ 933511267482*p^97*q^1302+1757496861510*p^95*q^1304+874484859546*p^93*q^1306+ 170043022094*p^91*q^1308+21426064195*p^89*q^1310+2169573302*p^87*q^1312+ 180799108*p^85*q^1314+11974714*p^83*q^1316+526000*p^81*q^1318+42336*p^79*q^1320 +112*p^77*q^1322+232*p^112*q^1286+11912*p^110*q^1288+1525464*p^108*q^1290+ 34203976*p^106*q^1292+444331642*p^104*q^1294+5351419229*p^102*q^1296+ 55820031130*p^100*q^1298+422742328314*p^98*q^1300+1493338760378*p^96*q^1302+ 1481420620826*p^94*q^1304+438906842370*p^92*q^1306+66205174175*p^90*q^1308+ 7441642896*p^88*q^1310+693166267*p^86*q^1312+51969608*p^84*q^1314+3127926*p^82* q^1316+147680*p^80*q^1318+5756*p^78*q^1320+120*p^76*q^1322+4*p^113*q^1284+3896* p^111*q^1286+187838*p^109*q^1288+7698918*p^107*q^1290+112243554*p^105*q^1292+ 1468332869*p^103*q^1294+16664286660*p^101*q^1296+155297375805*p^99*q^1298+ 880275240994*p^97*q^1300+1778216340268*p^95*q^1302+944548026506*p^93*q^1304+ 189990468349*p^91*q^1306+24240907348*p^89*q^1308+2477607677*p^87*q^1310+ 206389888*p^85*q^1312+14149818*p^83*q^1314+696068*p^81*q^1316+75592*p^79*q^1318 +84*p^77*q^1320+356*p^112*q^1284+6676*p^110*q^1286+1259554*p^108*q^1288+ 28714678*p^106*q^1290+388598219*p^104*q^1292+4717589038*p^102*q^1294+ 49813314016*p^100*q^1296+388415805920*p^98*q^1298+1452744958661*p^96*q^1300+ 1551086190222*p^94*q^1302+483970975524*p^92*q^1304+74569849916*p^90*q^1306+ 8460933039*p^88*q^1308+790996556*p^86*q^1310+60588820*p^84*q^1312+3506122*p^82* q^1314+123126*p^80*q^1316+4748*p^78*q^1318+24*p^76*q^1320+3048*p^111*q^1284+ 104924*p^109*q^1286+6154476*p^107*q^1288+99866884*p^105*q^1290+1291587592*p^103 *q^1292+14773519261*p^101*q^1294+140156959412*p^99*q^1296+828487549437*p^97*q^ 1298+1793510285884*p^95*q^1300+1017793856249*p^93*q^1302+211844346850*p^91*q^ 1304+27375490171*p^89*q^1306+2813705466*p^87*q^1308+238118548*p^85*q^1310+ 16118384*p^83*q^1312+877724*p^81*q^1314+67516*p^79*q^1316+784*p^77*q^1318+8*p^ 75*q^1320+108*p^112*q^1282+12738*p^110*q^1284+1020022*p^108*q^1286+25321850*p^ 106*q^1288+338479478*p^104*q^1290+4179672870*p^102*q^1292+44496108578*p^100*q^ 1294+356000899196*p^98*q^1296+1409316892042*p^96*q^1298+1619056949352*p^94*q^ 1300+531550595576*p^92*q^1302+83849282339*p^90*q^1304+9590116252*p^88*q^1306+ 902422144*p^86*q^1308+68314074*p^84*q^1310+4201945*p^82*q^1312+135908*p^80*q^ 1314+18088*p^78*q^1316+2672*p^111*q^1282+73608*p^109*q^1284+5198754*p^107*q^ 1286+87363724*p^105*q^1288+1141950195*p^103*q^1290+13098725032*p^101*q^1292+ 126395953013*p^99*q^1294+775744070158*p^97*q^1296+1800503257379*p^95*q^1298+ 1093468211410*p^93*q^1300+236294662085*p^91*q^1302+30948954242*p^89*q^1304+ 3212436637*p^87*q^1306+276836112*p^85*q^1308+19397376*p^83*q^1310+981280*p^81*q ^1312+55212*p^79*q^1314+172*p^77*q^1316+2*p^75*q^1318+40*p^112*q^1280+19756*p^ 110*q^1282+699680*p^108*q^1284+21521312*p^106*q^1286+295961538*p^104*q^1288+ 3677760154*p^102*q^1290+39690797681*p^100*q^1292+325720084002*p^98*q^1294+ 1358714889704*p^96*q^1296+1683962665352*p^94*q^1298+584060397120*p^92*q^1300+ 94191972164*p^90*q^1302+10887181373*p^88*q^1304+1030278470*p^86*q^1306+77560305 *p^84*q^1308+4722108*p^82*q^1310+202578*p^80*q^1312+22644*p^78*q^1314+48*p^76*q ^1316+4*p^113*q^1278+1684*p^111*q^1280+45692*p^109*q^1282+4308358*p^107*q^1284+ 76792523*p^105*q^1286+1001320912*p^103*q^1288+11613268880*p^101*q^1290+ 113683493276*p^99*q^1292+725750953979*p^97*q^1294+1799678646576*p^95*q^1296+ 1171894314641*p^93*q^1298+262947125614*p^91*q^1300+34943183267*p^89*q^1302+ 3651981196*p^87*q^1304+316142902*p^85*q^1306+22465300*p^83*q^1308+1172776*p^81* q^1310+28508*p^79*q^1312+2356*p^77*q^1314+12*p^112*q^1278+15460*p^110*q^1280+ 523524*p^108*q^1282+18522260*p^106*q^1284+259571294*p^104*q^1286+3253129613*p^ 102*q^1288+35376017018*p^100*q^1290+297462067439*p^98*q^1292+1308711396068*p^96 *q^1294+1742114552355*p^94*q^1296+639607018474*p^92*q^1298+105715658077*p^90*q^ 1300+12319495352*p^88*q^1302+1172846736*p^86*q^1304+90508584*p^84*q^1306+ 5620044*p^82*q^1308+246316*p^80*q^1310+27456*p^78*q^1312+708*p^111*q^1278+79040 *p^109*q^1280+3432540*p^107*q^1282+67330306*p^105*q^1284+879028154*p^103*q^1286 +10294097444*p^101*q^1288+102209927697*p^99*q^1290+675684698518*p^97*q^1292+ 1792152269586*p^95*q^1294+1250993045880*p^93*q^1296+292505365723*p^91*q^1298+ 39499469994*p^89*q^1300+4172188996*p^87*q^1302+364597822*p^85*q^1304+25115538*p ^83*q^1306+1351196*p^81*q^1308+33258*p^79*q^1310+4908*p^77*q^1312+64*p^112*q^ 1276+14082*p^110*q^1278+304926*p^108*q^1280+15733778*p^106*q^1282+226982787*p^ 104*q^1284+2867455850*p^102*q^1286+31461502209*p^100*q^1288+270865254018*p^98*q ^1290+1253005717009*p^96*q^1292+1798957759982*p^94*q^1294+699073334614*p^92*q^ 1296+118736582108*p^90*q^1298+13951514210*p^88*q^1300+1336932016*p^86*q^1302+ 104821407*p^84*q^1304+6990726*p^82*q^1306+292372*p^80*q^1308+15664*p^78*q^1310+ 116*p^76*q^1312+332*p^111*q^1276+73224*p^109*q^1278+2744038*p^107*q^1280+ 58497112*p^105*q^1282+771439802*p^103*q^1284+9104659876*p^101*q^1286+ 91794981952*p^99*q^1288+628180658248*p^97*q^1290+1776698015892*p^95*q^1292+ 1332318181804*p^93*q^1294+324682386892*p^91*q^1296+44517633488*p^89*q^1298+ 4737946740*p^87*q^1300+416331962*p^85*q^1302+28162028*p^83*q^1304+1466524*p^81* q^1306+52616*p^79*q^1308+8088*p^77*q^1310+8*p^112*q^1274+7116*p^110*q^1276+ 286596*p^108*q^1278+13218093*p^106*q^1280+200522912*p^104*q^1282+2532815536*p^ 102*q^1284+28003910244*p^100*q^1286+246330186779*p^98*q^1288+1196910635814*p^96 *q^1290+1847930782466*p^94*q^1292+762664779250*p^92*q^1294+132993844436*p^90*q^ 1296+15820866056*p^88*q^1298+1528995252*p^86*q^1300+122099852*p^84*q^1302+ 8194625*p^82*q^1304+377982*p^80*q^1306+4388*p^78*q^1308+688*p^76*q^1310+492*p^ 111*q^1274+75208*p^109*q^1276+1928361*p^107*q^1278+51494000*p^105*q^1280+ 674269732*p^103*q^1282+8061231524*p^101*q^1284+82266403683*p^99*q^1286+ 581970525886*p^97*q^1288+1754053774094*p^95*q^1290+1413338916502*p^93*q^1292+ 360111226800*p^91*q^1294+50267232798*p^89*q^1296+5375391150*p^87*q^1298+ 473774656*p^85*q^1300+32502345*p^83*q^1302+1855636*p^81*q^1304+58644*p^79*q^ 1306+9820*p^77*q^1308+28*p^112*q^1272+4628*p^110*q^1274+294362*p^108*q^1276+ 11235896*p^106*q^1278+174503090*p^104*q^1280+2231386662*p^102*q^1282+ 24903233124*p^100*q^1284+223526788244*p^98*q^1286+1138173880194*p^96*q^1288+ 1890691961130*p^94*q^1290+830233789659*p^92*q^1292+149110681986*p^90*q^1294+ 17918451263*p^88*q^1296+1755398000*p^86*q^1298+142006020*p^84*q^1300+9069800*p^ 82*q^1302+386042*p^80*q^1304+8672*p^78*q^1306+1120*p^76*q^1308+308*p^111*q^1272 +50876*p^109*q^1274+1342084*p^107*q^1276+43970357*p^105*q^1278+591194848*p^103* q^1280+7119533287*p^101*q^1282+73582932924*p^99*q^1284+538038483759*p^97*q^1286 +1725175842278*p^95*q^1288+1495079643930*p^93*q^1290+398653006848*p^91*q^1292+ 56624065030*p^89*q^1294+6105181230*p^87*q^1296+537863272*p^85*q^1298+37707562*p ^83*q^1300+2412790*p^81*q^1302+89016*p^79*q^1304+1976*p^77*q^1306+48*p^75*q^ 1308+3084*p^110*q^1272+296556*p^108*q^1274+9121242*p^106*q^1276+155163756*p^104 *q^1278+1969491503*p^102*q^1280+22139011756*p^100*q^1282+202656085426*p^98*q^ 1284+1080123559068*p^96*q^1286+1927679204347*p^94*q^1288+900412509730*p^92*q^ 1290+166790906622*p^90*q^1292+20262604666*p^88*q^1294+1999400533*p^86*q^1296+ 163013052*p^84*q^1298+9971602*p^82*q^1300+418314*p^80*q^1302+9598*p^78*q^1304+ 3680*p^76*q^1306+446*p^111*q^1270+36596*p^109*q^1272+1229824*p^107*q^1274+ 38322830*p^105*q^1276+517961480*p^103*q^1278+6301416732*p^101*q^1280+ 65860295293*p^99*q^1282+495441445698*p^97*q^1284+1689536244291*p^95*q^1286+ 1575459187040*p^93*q^1288+440786693640*p^91*q^1290+63834792704*p^89*q^1292+ 6947832615*p^87*q^1294+620570156*p^85*q^1296+45028824*p^83*q^1298+2921196*p^81* q^1300+107374*p^79*q^1302+888*p^77*q^1304+48*p^75*q^1306+3384*p^110*q^1270+ 260518*p^108*q^1272+6609890*p^106*q^1274+134973320*p^104*q^1276+1725154898*p^ 102*q^1278+19629366031*p^100*q^1280+183157870258*p^98*q^1282+1019280462844*p^96 *q^1284+1957302444936*p^94*q^1286+975998708765*p^92*q^1288+186604776818*p^90*q^ 1290+22959559120*p^88*q^1292+2274107920*p^86*q^1294+185308316*p^84*q^1296+ 10991270*p^82*q^1298+566422*p^80*q^1300+13880*p^78*q^1302+1542*p^76*q^1304+96*p ^111*q^1268+23284*p^109*q^1270+1046638*p^107*q^1272+33543957*p^105*q^1274+ 453913238*p^103*q^1276+5568503114*p^101*q^1278+58851103844*p^99*q^1280+ 456183709683*p^97*q^1282+1646917213192*p^95*q^1284+1655112857258*p^93*q^1286+ 486344657156*p^91*q^1288+71809008630*p^89*q^1290+7861604688*p^87*q^1292+ 712257972*p^85*q^1294+52625062*p^83*q^1296+3271492*p^81*q^1298+98866*p^79*q^ 1300+1408*p^77*q^1302+716*p^75*q^1304+4*p^112*q^1266+3520*p^110*q^1268+201384*p ^108*q^1270+5459644*p^106*q^1272+118164554*p^104*q^1274+1522691660*p^102*q^1276 +17430310694*p^100*q^1278+165396564841*p^98*q^1280+961233380288*p^96*q^1282+ 1976987466378*p^94*q^1284+1053515431776*p^92*q^1286+208445438786*p^90*q^1288+ 25971153160*p^88*q^1290+2596416134*p^86*q^1292+210465320*p^84*q^1294+13057014*p ^82*q^1296+784500*p^80*q^1298+26464*p^78*q^1300+40*p^76*q^1302+21316*p^109*q^ 1268+1029986*p^107*q^1270+27172428*p^105*q^1272+400790373*p^103*q^1274+ 4916436850*p^101*q^1276+52496096942*p^99*q^1278+418347597078*p^97*q^1280+ 1601271706647*p^95*q^1282+1730439372690*p^93*q^1284+536016931714*p^91*q^1286+ 80867656390*p^89*q^1288+8937131631*p^87*q^1290+814629588*p^85*q^1292+61996371*p ^83*q^1294+3418992*p^81*q^1296+104262*p^79*q^1298+1124*p^77*q^1300+752*p^75*q^ 1302+2016*p^110*q^1266+155952*p^108*q^1268+4225792*p^106*q^1270+104866644*p^104 *q^1272+1329365256*p^102*q^1274+15447555480*p^100*q^1276+149018988124*p^98*q^ 1278+901310316840*p^96*q^1280+1991863298302*p^94*q^1282+1134421848132*p^92*q^ 1284+232699058252*p^90*q^1286+29376726036*p^88*q^1288+2954618082*p^86*q^1290+ 242775104*p^84*q^1292+15277606*p^82*q^1294+1021263*p^80*q^1296+25880*p^78*q^ 1298+154*p^76*q^1300+56*p^74*q^1302+84*p^111*q^1264+21054*p^109*q^1266+865274*p ^107*q^1268+22194534*p^105*q^1270+349275484*p^103*q^1272+4344036901*p^101*q^ 1274+46831448032*p^99*q^1276+382885575739*p^97*q^1278+1549316802574*p^95*q^1280 +1805843902003*p^93*q^1282+589058498538*p^91*q^1284+90921964359*p^89*q^1286+ 10135800414*p^87*q^1288+932152605*p^85*q^1290+69573158*p^83*q^1292+3716792*p^81 *q^1294+153786*p^79*q^1296+4484*p^77*q^1298+280*p^110*q^1264+112574*p^108*q^ 1266+3732300*p^106*q^1268+91660150*p^104*q^1270+1173513618*p^102*q^1272+ 13686811222*p^100*q^1274+134208998635*p^98*q^1276+844018247360*p^96*q^1278+ 1995912532558*p^94*q^1280+1218262468270*p^92*q^1282+259221753395*p^90*q^1284+ 33165820326*p^88*q^1286+3358142624*p^86*q^1288+279371988*p^84*q^1290+18832178*p ^82*q^1292+1143630*p^80*q^1294+20452*p^78*q^1296+36*p^76*q^1298+212*p^74*q^1300 +16*p^111*q^1262+17756*p^109*q^1264+765326*p^107*q^1266+17990246*p^105*q^1268+ 308374665*p^103*q^1270+3834352248*p^101*q^1272+41749045243*p^99*q^1274+ 349764855622*p^97*q^1276+1493013069707*p^95*q^1278+1874783168226*p^93*q^1280+ 646999479515*p^91*q^1282+102194689616*p^89*q^1284+11520003589*p^87*q^1286+ 1069053456*p^85*q^1288+79808904*p^83*q^1290+4128656*p^81*q^1292+247148*p^79*q^ 1294+5980*p^77*q^1296+8*p^75*q^1298+10*p^112*q^1260+776*p^110*q^1262+109112*p^ 108*q^1264+3248206*p^106*q^1266+77777490*p^104*q^1268+1026006728*p^102*q^1270+ 12111584590*p^100*q^1272+120508453904*p^98*q^1274+787032404437*p^96*q^1276+ 1992448397006*p^94*q^1278+1304682125367*p^92*q^1280+288804364372*p^90*q^1282+ 37497192721*p^88*q^1284+3819324920*p^86*q^1286+320272626*p^84*q^1288+22330732*p ^82*q^1290+1193934*p^80*q^1292+20726*p^78*q^1294+386*p^76*q^1296+6418*p^109*q^ 1262+568118*p^107*q^1264+14340870*p^105*q^1266+273325418*p^103*q^1268+ 3372553543*p^101*q^1270+37151840006*p^99*q^1272+318908713900*p^97*q^1274+ 1433998488164*p^95*q^1276+1939091096083*p^93*q^1278+708677914490*p^91*q^1280+ 114791504045*p^89*q^1282+13041119152*p^87*q^1284+1216781209*p^85*q^1286+ 91844842*p^83*q^1288+4851338*p^81*q^1290+334786*p^79*q^1292+4976*p^77*q^1294+32 *p^73*q^1298+6*p^112*q^1258+448*p^110*q^1260+98594*p^108*q^1262+2942052*p^106*q ^1264+66501290*p^104*q^1266+900425367*p^102*q^1268+10732194842*p^100*q^1270+ 108246140182*p^98*q^1272+732912656206*p^96*q^1274+1980996047312*p^94*q^1276+ 1391711738116*p^92*q^1278+320914341030*p^90*q^1280+42307428054*p^88*q^1282+ 4347753425*p^86*q^1284+369162040*p^84*q^1286+25152688*p^82*q^1288+1248918*p^80* q^1290+39764*p^78*q^1292+1088*p^76*q^1294+120*p^111*q^1258+5280*p^109*q^1260+ 505305*p^107*q^1262+12155850*p^105*q^1264+241131012*p^103*q^1266+2979247190*p^ 101*q^1268+33044786757*p^99*q^1270+289903600082*p^97*q^1272+1372524698970*p^95* q^1274+1998166169086*p^93*q^1276+774109325425*p^91*q^1278+128969466338*p^89*q^ 1280+14798546400*p^87*q^1282+1391535798*p^85*q^1284+105843457*p^83*q^1286+ 6461104*p^81*q^1288+379754*p^79*q^1290+2414*p^77*q^1292+8*p^75*q^1294+16*p^112* q^1256+36*p^110*q^1258+62560*p^108*q^1260+2468354*p^106*q^1262+54299802*p^104*q ^1264+791302046*p^102*q^1266+9483198465*p^100*q^1268+96978869348*p^98*q^1270+ 678967830181*p^96*q^1272+1961959322618*p^94*q^1274+1481449047247*p^92*q^1276+ 356646603404*p^90*q^1278+47753869382*p^88*q^1280+4951311908*p^86*q^1282+ 423296155*p^84*q^1284+28959464*p^82*q^1286+1172408*p^80*q^1288+74880*p^78*q^ 1290+904*p^76*q^1292+2*p^72*q^1296+96*p^111*q^1256+5048*p^109*q^1258+436644*p^ 107*q^1260+10316431*p^105*q^1262+210787186*p^103*q^1264+2612053260*p^101*q^1266 +29362491928*p^99*q^1268+263241239628*p^97*q^1270+1307508570446*p^95*q^1272+ 2052272268642*p^93*q^1274+844502525792*p^91*q^1276+144411175406*p^89*q^1278+ 16769409092*p^87*q^1280+1581919019*p^85*q^1282+121780600*p^83*q^1284+7459566*p^ 81*q^1286+445398*p^79*q^1288+3676*p^77*q^1290+136*p^75*q^1292+586*p^110*q^1256+ 36704*p^108*q^1258+2109616*p^106*q^1260+45653508*p^104*q^1262+700101216*p^102*q ^1264+8409039382*p^100*q^1266+86913275856*p^98*q^1268+629093664392*p^96*q^1270+ 1932625465591*p^94*q^1272+1570623406618*p^92*q^1274+395227379689*p^90*q^1276+ 53896299560*p^88*q^1278+5614076495*p^86*q^1280+485792616*p^84*q^1282+33441654*p ^82*q^1284+1533452*p^80*q^1286+92012*p^78*q^1288+488*p^76*q^1290+232*p^111*q^ 1254+1352*p^109*q^1256+369640*p^107*q^1258+9174414*p^105*q^1260+181852997*p^103 *q^1262+2298391400*p^101*q^1264+26058042414*p^99*q^1266+238486494706*p^97*q^ 1268+1242608795871*p^95*q^1270+2095606229888*p^93*q^1272+918972109563*p^91*q^ 1274+161987039678*p^89*q^1276+18994464404*p^87*q^1278+1816033548*p^85*q^1280+ 140889379*p^83*q^1282+8709806*p^81*q^1284+388220*p^79*q^1286+11572*p^77*q^1288+ 88*p^75*q^1290+4*p^112*q^1252+782*p^110*q^1254+34852*p^108*q^1256+1787562*p^106 *q^1258+37280828*p^104*q^1260+619300316*p^102*q^1262+7416442830*p^100*q^1264+ 77676459012*p^98*q^1266+579948043222*p^96*q^1268+1899468937118*p^94*q^1270+ 1659622752452*p^92*q^1272+437982937108*p^90*q^1274+60776667222*p^88*q^1276+ 6387669380*p^86*q^1278+553926202*p^84*q^1280+38718462*p^82*q^1282+1965122*p^80* q^1284+133548*p^78*q^1286+140*p^76*q^1288+8*p^74*q^1290+60*p^111*q^1252+2012*p^ 109*q^1254+241808*p^107*q^1256+7848433*p^105*q^1258+156219602*p^103*q^1260+ 2014785444*p^101*q^1262+23142313034*p^99*q^1264+215713473929*p^97*q^1266+ 1175839050190*p^95*q^1268+2135225374426*p^93*q^1270+996675762814*p^91*q^1272+ 181291107337*p^89*q^1274+21475212302*p^87*q^1276+2066390761*p^85*q^1278+ 161867708*p^83*q^1280+9954318*p^81*q^1282+342170*p^79*q^1284+16240*p^77*q^1286+ 96*p^75*q^1288+1526*p^110*q^1252+17838*p^108*q^1254+1590702*p^106*q^1256+ 32021502*p^104*q^1258+545308384*p^102*q^1260+6555885296*p^100*q^1262+ 69448615673*p^98*q^1264+534039602602*p^96*q^1266+1856723637661*p^94*q^1268+ 1748233708724*p^92*q^1270+483855917919*p^90*q^1272+68476694050*p^88*q^1274+ 7268452656*p^86*q^1276+635690232*p^84*q^1278+44792783*p^82*q^1280+2397612*p^80* q^1282+157250*p^78*q^1284+1064*p^76*q^1286+4*p^74*q^1288+76*p^111*q^1250+3538*p ^109*q^1252+193382*p^107*q^1254+6878072*p^105*q^1256+132033197*p^103*q^1258+ 1782135774*p^101*q^1260+20519191565*p^99*q^1262+194798944520*p^97*q^1264+ 1109531895371*p^95*q^1266+2163438611644*p^93*q^1268+1079260053645*p^91*q^1270+ 202766189250*p^89*q^1272+24342061940*p^87*q^1274+2347049446*p^85*q^1276+ 186501860*p^83*q^1278+11613114*p^81*q^1280+436628*p^79*q^1282+25084*p^77*q^1284 +1152*p^110*q^1250+11962*p^108*q^1252+1280540*p^106*q^1254+27443328*p^104*q^ 1256+478282300*p^102*q^1258+5773032887*p^100*q^1260+61919138096*p^98*q^1262+ 490183905376*p^96*q^1264+1807957926482*p^94*q^1266+1834850955451*p^92*q^1268+ 534402732962*p^90*q^1270+77204019527*p^88*q^1272+8247333112*p^86*q^1274+ 734159987*p^84*q^1276+51918552*p^82*q^1278+2811474*p^80*q^1280+121592*p^78*q^ 1282+2236*p^76*q^1284+8*p^74*q^1286+12*p^111*q^1248+6334*p^109*q^1250+134652*p^ 107*q^1252+5824456*p^105*q^1254+110325674*p^103*q^1256+1570243433*p^101*q^1258+ 18196812652*p^99*q^1260+175581444058*p^97*q^1262+1043116578694*p^95*q^1264+ 2185219033534*p^93*q^1266+1164987075474*p^91*q^1268+226573254698*p^89*q^1270+ 27501721778*p^87*q^1272+2675982079*p^85*q^1274+211201522*p^83*q^1276+13515207*p ^81*q^1278+550026*p^79*q^1280+47308*p^77*q^1282+44*p^75*q^1284+720*p^110*q^1248 +11712*p^108*q^1250+962366*p^106*q^1252+24112718*p^104*q^1254+419547495*p^102*q ^1256+5087557042*p^100*q^1258+55235585465*p^98*q^1260+449317287100*p^96*q^1262+ 1754423156254*p^94*q^1264+1916972655786*p^92*q^1266+588520472600*p^90*q^1268+ 86830444300*p^88*q^1270+9365840414*p^86*q^1272+836088626*p^84*q^1274+60452852*p ^82*q^1276+3207912*p^80*q^1278+103144*p^78*q^1280+2360*p^76*q^1282+8472*p^109*q ^1248+92562*p^107*q^1250+5319882*p^105*q^1252+94518753*p^103*q^1254+1384983618* p^101*q^1256+16132778769*p^99*q^1258+158137669170*p^97*q^1260+977986617957*p^95 *q^1262+2196031389494*p^93*q^1264+1253850558028*p^91*q^1266+252936386502*p^89*q ^1268+31149529105*p^87*q^1270+3055352570*p^85*q^1272+246463378*p^83*q^1274+ 15804558*p^81*q^1276+736224*p^79*q^1278+49904*p^77*q^1280+208*p^75*q^1282+322*p ^110*q^1246+19130*p^108*q^1248+754058*p^106*q^1250+20274949*p^104*q^1252+ 359589510*p^102*q^1254+4485350661*p^100*q^1256+49142421118*p^98*q^1258+ 409999965052*p^96*q^1260+1695686791192*p^94*q^1262+1998271013783*p^92*q^1264+ 647288554800*p^90*q^1266+97780057959*p^88*q^1268+10628342818*p^86*q^1270+ 955315519*p^84*q^1272+68069464*p^82*q^1274+3784702*p^80*q^1276+100372*p^78*q^ 1278+8688*p^76*q^1280+5632*p^109*q^1246+60624*p^107*q^1248+4207178*p^105*q^1250 +81015276*p^103*q^1252+1223780767*p^101*q^1254+14268659770*p^99*q^1256+ 142133669159*p^97*q^1258+913539476370*p^95*q^1260+2200170574623*p^93*q^1262+ 1346204108472*p^91*q^1264+281909425852*p^89*q^1266+35167722276*p^87*q^1268+ 3468704036*p^85*q^1270+284103730*p^83*q^1272+18744544*p^81*q^1274+813498*p^79*q ^1276+42646*p^77*q^1278+80*p^75*q^1280+60*p^110*q^1244+33924*p^108*q^1246+ 553444*p^106*q^1248+18483094*p^104*q^1250+309467560*p^102*q^1252+3961243192*p^ 100*q^1254+43801083300*p^98*q^1256+374482936976*p^96*q^1258+1630459057921*p^94* q^1260+2072981635456*p^92*q^1262+710225870880*p^90*q^1264+109865951390*p^88*q^ 1266+12054579393*p^86*q^1268+1092702938*p^84*q^1270+78141538*p^82*q^1272+ 4423536*p^80*q^1274+159938*p^78*q^1276+13276*p^76*q^1278+8*p^74*q^1280+4*p^111* q^1242+3740*p^109*q^1244+52474*p^107*q^1246+3496352*p^105*q^1248+68945068*p^103 *q^1250+1077982662*p^101*q^1252+12606302297*p^99*q^1254+127568469480*p^97*q^ 1256+851469636146*p^95*q^1258+2191572331196*p^93*q^1260+1440601419886*p^91*q^ 1262+314174651848*p^89*q^1264+39795885236*p^87*q^1266+3959131506*p^85*q^1268+ 327191102*p^83*q^1270+21850874*p^81*q^1272+971918*p^79*q^1274+22906*p^77*q^1276 +812*p^75*q^1278+64*p^110*q^1242+32536*p^108*q^1244+412880*p^106*q^1246+ 15862562*p^104*q^1248+267112564*p^102*q^1250+3485425533*p^100*q^1252+ 38918911972*p^98*q^1254+340475463725*p^96*q^1256+1565160613214*p^94*q^1258+ 2141034139610*p^92*q^1260+778300631810*p^90*q^1262+123463436060*p^88*q^1264+ 13667841706*p^86*q^1266+1242610428*p^84*q^1268+90683304*p^82*q^1270+5276386*p^ 80*q^1272+189458*p^78*q^1274+17612*p^76*q^1276+1256*p^109*q^1242+93502*p^107*q^ 1244+2671147*p^105*q^1246+59900668*p^103*q^1248+939784328*p^101*q^1250+ 11163104118*p^99*q^1252+114286676803*p^97*q^1254+790698062766*p^95*q^1256+ 2178392857163*p^93*q^1258+1536515564768*p^91*q^1260+349295544044*p^89*q^1262+ 44956920170*p^87*q^1264+4503796908*p^85*q^1266+377226912*p^83*q^1268+24275088*p ^81*q^1270+1137698*p^79*q^1272+24298*p^77*q^1274+2108*p^75*q^1276+80*p^110*q^ 1240+25952*p^108*q^1242+242468*p^106*q^1244+13600342*p^104*q^1246+228432507*p^ 102*q^1248+3087986778*p^100*q^1250+34587931623*p^98*q^1252+309362560736*p^96*q^ 1254+1494670223096*p^94*q^1256+2205704618894*p^92*q^1258+849592766023*p^90*q^ 1260+138590214228*p^88*q^1262+15477009493*p^86*q^1264+1418341836*p^84*q^1266+ 104408136*p^82*q^1268+6661634*p^80*q^1270+221200*p^78*q^1272+12004*p^76*q^1274+ 24*p^74*q^1276+1098*p^109*q^1240+120372*p^107*q^1242+2207740*p^105*q^1244+ 53096914*p^103*q^1246+824159340*p^101*q^1248+9856641759*p^99*q^1250+ 102440940770*p^97*q^1252+732317267991*p^95*q^1254+2151970428540*p^93*q^1256+ 1634218945950*p^91*q^1258+387960968886*p^89*q^1260+50782213258*p^87*q^1262+ 5134447498*p^85*q^1264+432674059*p^83*q^1266+27914156*p^81*q^1268+1298453*p^79* q^1270+40118*p^77*q^1272+4052*p^75*q^1274+20*p^110*q^1238+13880*p^108*q^1240+ 258952*p^106*q^1242+11236973*p^104*q^1244+194369292*p^102*q^1246+2714831558*p^ 100*q^1248+30674453846*p^98*q^1250+280263795966*p^96*q^1252+1422523447374*p^94* q^1254+2261488654914*p^92*q^1256+927450960954*p^90*q^1258+155491017956*p^88*q^ 1260+17571783104*p^86*q^1262+1618501793*p^84*q^1264+122951580*p^82*q^1266+ 7581216*p^80*q^1268+275022*p^78*q^1270+3164*p^76*q^1272+200*p^74*q^1274+732*p^ 109*q^1238+120540*p^107*q^1240+1489598*p^105*q^1242+46130492*p^103*q^1244+ 717863297*p^101*q^1246+8710171030*p^99*q^1248+91561266732*p^97*q^1250+ 676580174504*p^95*q^1252+2119514519939*p^93*q^1254+1732047278992*p^91*q^1256+ 430336102301*p^89*q^1258+57272091024*p^87*q^1260+5808110038*p^85*q^1262+ 493490798*p^83*q^1264+31271477*p^81*q^1266+1702950*p^79*q^1268+41154*p^77*q^ 1270+5812*p^75*q^1272+9814*p^108*q^1238+326962*p^106*q^1240+9271004*p^104*q^ 1242+169811560*p^102*q^1244+2392008072*p^100*q^1246+27267582702*p^98*q^1248+ 253789787582*p^96*q^1250+1349528346617*p^94*q^1252+2308248050744*p^92*q^1254+ 1008246534746*p^90*q^1256+174268100562*p^88*q^1258+19902069843*p^86*q^1260+ 1856327554*p^84*q^1262+142693392*p^82*q^1264+8727016*p^80*q^1266+292488*p^78*q^ 1268+6644*p^76*q^1270+408*p^74*q^1272+524*p^109*q^1236+92664*p^107*q^1238+ 1106548*p^105*q^1240+40715064*p^103*q^1242+619082982*p^101*q^1244+7701781005*p^ 99*q^1246+81741562692*p^97*q^1248+623600190059*p^95*q^1250+2077656278152*p^93*q ^1252+1828210886452*p^91*q^1254+476726916012*p^89*q^1256+64651722690*p^87*q^ 1258+6613973606*p^85*q^1260+561825582*p^83*q^1262+36893268*p^81*q^1264+2200486* p^79*q^1266+59604*p^77*q^1268+1522*p^75*q^1270+8*p^73*q^1272+6126*p^108*q^1236+ 382550*p^106*q^1238+7468162*p^104*q^1240+146574058*p^102*q^1242+2109202111*p^ 100*q^1244+24122023306*p^98*q^1246+229162498258*p^96*q^1248+1275811989140*p^94* q^1250+2347925250751*p^92*q^1252+1094147311210*p^90*q^1254+195262539911*p^88*q^ 1256+22563366034*p^86*q^1258+2116195641*p^84*q^1260+165836976*p^82*q^1262+ 9476562*p^80*q^1264+343376*p^78*q^1266+6562*p^76*q^1268+1576*p^74*q^1270+72*p^ 109*q^1234+63326*p^107*q^1236+1011898*p^105*q^1238+33883858*p^103*q^1240+ 536436331*p^101*q^1242+6781978608*p^99*q^1244+72932552394*p^97*q^1246+ 572477918148*p^95*q^1248+2031035655228*p^93*q^1250+1925214866818*p^91*q^1252+ 526720457440*p^89*q^1254+72848723042*p^87*q^1256+7506629653*p^85*q^1258+ 641892894*p^83*q^1260+43114430*p^81*q^1262+2640734*p^79*q^1264+63416*p^77*q^ 1266+644*p^75*q^1268+12*p^73*q^1270+5320*p^108*q^1234+393182*p^106*q^1236+ 5524164*p^104*q^1238+130970908*p^102*q^1240+1854466326*p^100*q^1242+21442839894 *p^98*q^1244+206765215598*p^96*q^1246+1201569442938*p^94*q^1248+2378403525886*p ^92*q^1250+1183686990565*p^90*q^1252+218358773886*p^88*q^1254+25554819141*p^86* q^1256+2403683850*p^84*q^1258+190581659*p^82*q^1260+10517648*p^80*q^1262+517336 *p^78*q^1264+9800*p^76*q^1266+920*p^74*q^1268+16*p^109*q^1232+46116*p^107*q^ 1234+1015424*p^105*q^1236+29477825*p^103*q^1238+460553956*p^101*q^1240+ 5997993371*p^99*q^1242+65013972462*p^97*q^1244+525253706096*p^95*q^1246+ 1972152119184*p^93*q^1248+2018780360088*p^91*q^1250+581704057786*p^89*q^1252+ 82139509569*p^87*q^1254+8536059708*p^85*q^1256+742831133*p^83*q^1258+51279032*p ^81*q^1260+3064018*p^79*q^1262+62296*p^77*q^1264+1062*p^75*q^1266+200*p^73*q^ 1268+20*p^110*q^1230+1958*p^108*q^1232+314980*p^106*q^1234+4406150*p^104*q^1236 +112300154*p^102*q^1238+1623689388*p^100*q^1240+18934788968*p^98*q^1242+ 186038231849*p^96*q^1244+1128563219892*p^94*q^1246+2397605842202*p^92*q^1248+ 1278341602956*p^90*q^1250+244180330156*p^88*q^1252+28921011280*p^86*q^1254+ 2741123999*p^84*q^1256+214860070*p^82*q^1258+12139840*p^80*q^1260+668678*p^78*q ^1262+12474*p^76*q^1264+24*p^74*q^1266+8*p^111*q^1228+34168*p^107*q^1232+ 1165596*p^105*q^1234+23682680*p^103*q^1236+403985421*p^101*q^1238+5283978298*p^ 99*q^1240+57921118884*p^97*q^1242+480313778452*p^95*q^1244+1913413792777*p^93*q ^1246+2107676547016*p^91*q^1248+640960939601*p^89*q^1250+92415552122*p^87*q^ 1252+9694787258*p^85*q^1254+844450724*p^83*q^1256+61406808*p^81*q^1258+3164046* p^79*q^1260+88950*p^77*q^1262+952*p^75*q^1264+316*p^73*q^1266+554*p^108*q^1230+ 257038*p^106*q^1232+3492774*p^104*q^1234+99138896*p^102*q^1236+1412916224*p^100 *q^1238+16802869072*p^98*q^1240+167211447754*p^96*q^1242+1056110177578*p^94*q^ 1244+2408866655438*p^92*q^1246+1374834197987*p^90*q^1248+272555995556*p^88*q^ 1250+32746854356*p^86*q^1252+3117296140*p^84*q^1254+249107169*p^82*q^1256+ 13984012*p^80*q^1258+920712*p^78*q^1260+11800*p^76*q^1262+136*p^74*q^1264+8*p^ 72*q^1266+4*p^111*q^1226+282*p^109*q^1228+22836*p^107*q^1230+1145162*p^105*q^ 1232+19314398*p^103*q^1234+351566118*p^101*q^1236+4677020196*p^99*q^1238+ 51535612126*p^97*q^1240+438531142092*p^95*q^1242+1844859195110*p^93*q^1244+ 2194973526017*p^91*q^1246+704414302040*p^89*q^1248+104122478500*p^87*q^1250+ 11010973644*p^85*q^1252+967216348*p^83*q^1254+69893840*p^81*q^1256+3527174*p^79 *q^1258+127890*p^77*q^1260+1989*p^75*q^1262+100*p^110*q^1226+192*p^108*q^1228+ 185704*p^106*q^1230+3304149*p^104*q^1232+85092224*p^102*q^1234+1230493501*p^100 *q^1236+14815091790*p^98*q^1238+150126348327*p^96*q^1240+984886764396*p^94*q^ 1242+2408181152796*p^92*q^1244+1475882795168*p^90*q^1246+304158762289*p^88*q^ 1248+37038463810*p^86*q^1250+3551681440*p^84*q^1252+287125674*p^82*q^1254+ 17613976*p^80*q^1256+1003244*p^78*q^1258+11732*p^76*q^1260+36*p^74*q^1262+56*p^ 72*q^1264+8*p^111*q^1224+36*p^109*q^1226+8760*p^107*q^1228+1046756*p^105*q^1230 +15110950*p^103*q^1232+306474549*p^101*q^1234+4114966420*p^99*q^1236+ 45802109179*p^97*q^1238+399222443308*p^95*q^1240+1774478585735*p^93*q^1242+ 2275816897862*p^91*q^1244+773667301458*p^89*q^1246+116997262540*p^87*q^1248+ 12495543252*p^85*q^1250+1101351218*p^83*q^1252+79955828*p^81*q^1254+3574372*p^ 79*q^1256+211006*p^77*q^1258+1832*p^75*q^1260+8*p^73*q^1262+64*p^110*q^1224+ 1684*p^108*q^1226+151530*p^106*q^1228+3301062*p^104*q^1230+72285397*p^102*q^ 1232+1075731950*p^100*q^1234+13126420992*p^98*q^1236+134607260094*p^96*q^1238+ 916751597459*p^94*q^1240+2398120757292*p^92*q^1242+1578044583976*p^90*q^1244+ 338538739058*p^88*q^1246+41860283693*p^86*q^1248+4041741136*p^84*q^1250+ 328189117*p^82*q^1252+21215958*p^80*q^1254+1131876*p^78*q^1256+17950*p^76*q^ 1258+220*p^74*q^1260+492*p^109*q^1224+4504*p^107*q^1226+862782*p^105*q^1228+ 12319628*p^103*q^1230+271611258*p^101*q^1232+3619251502*p^99*q^1234+40751967550 *p^97*q^1236+362773375396*p^95*q^1238+1698429990530*p^93*q^1240+2348904571852*p ^91*q^1242+847362405150*p^89*q^1244+131654954209*p^87*q^1246+14215887480*p^85*q ^1248+1258439823*p^83*q^1250+93657242*p^81*q^1252+4338074*p^79*q^1254+279986*p^ 77*q^1256+1712*p^75*q^1258+4*p^71*q^1262+140*p^110*q^1222+904*p^108*q^1224+ 86156*p^106*q^1226+3291138*p^104*q^1228+59969360*p^102*q^1230+928966159*p^100*q ^1232+11594540898*p^98*q^1234+120367467640*p^96*q^1236+850415053130*p^94*q^1238 +2378247580305*p^92*q^1240+1683139121002*p^90*q^1242+376771174621*p^88*q^1244+ 47321529610*p^86*q^1246+4599967728*p^84*q^1248+376386402*p^82*q^1250+24323901*p ^80*q^1252+1083650*p^78*q^1254+31620*p^76*q^1256+168*p^74*q^1258+568*p^109*q^ 1222+6476*p^107*q^1224+708958*p^105*q^1226+10455462*p^103*q^1228+235400711*p^ 101*q^1230+3183559306*p^99*q^1232+36112326512*p^97*q^1234+329030796676*p^95*q^ 1236+1621288668835*p^93*q^1238+2417567499044*p^91*q^1240+925578864811*p^89*q^ 1242+147794568926*p^87*q^1244+16092435182*p^85*q^1246+1433606322*p^83*q^1248+ 107330675*p^81*q^1250+5601590*p^79*q^1252+335422*p^77*q^1254+1754*p^75*q^1256+ 12*p^73*q^1258+8*p^110*q^1220+1300*p^108*q^1222+50186*p^106*q^1224+3121522*p^ 104*q^1226+49303264*p^102*q^1228+821040048*p^100*q^1230+10245554232*p^98*q^1232 +107806488858*p^96*q^1234+786092824224*p^94*q^1236+2349926891652*p^92*q^1238+ 1788449644197*p^90*q^1240+418431072010*p^88*q^1242+53426009497*p^86*q^1244+ 5242810026*p^84*q^1246+430938442*p^82*q^1248+28649024*p^80*q^1250+1019012*p^78* q^1252+60758*p^76*q^1254+264*p^74*q^1256+1088*p^109*q^1220+7852*p^107*q^1222+ 542158*p^105*q^1224+9608368*p^103*q^1226+204846118*p^101*q^1228+2777230530*p^99 *q^1230+32087811254*p^97*q^1232+297843241623*p^95*q^1234+1539732646906*p^93*q^ 1236+2475847978080*p^91*q^1238+1009729511304*p^89*q^1240+165905045126*p^87*q^ 1242+18290346976*p^85*q^1244+1636977739*p^83*q^1246+124495496*p^81*q^1248+ 6739809*p^79*q^1250+397342*p^77*q^1252+2692*p^75*q^1254+8*p^73*q^1256+2864*p^ 108*q^1220+32110*p^106*q^1222+2696312*p^104*q^1224+40463328*p^102*q^1226+ 715524867*p^100*q^1228+9060185944*p^98*q^1230+96196808179*p^96*q^1232+ 725630623898*p^94*q^1234+2308387379737*p^92*q^1236+1895664749044*p^90*q^1238+ 464449540003*p^88*q^1240+60363361160*p^86*q^1242+5955683431*p^84*q^1244+ 492109214*p^82*q^1246+33324278*p^80*q^1248+1261548*p^78*q^1250+72750*p^76*q^ 1252+96*p^74*q^1254+348*p^109*q^1218+3714*p^107*q^1220+357994*p^105*q^1222+ 9344250*p^103*q^1224+173948201*p^101*q^1226+2432669238*p^99*q^1228+28381357771* p^97*q^1230+269107953876*p^95*q^1232+1460092815697*p^93*q^1234+2524868119742*p^ 91*q^1236+1098011179744*p^89*q^1238+185952913446*p^87*q^1240+20713896173*p^85*q ^1242+1868867594*p^83*q^1244+142399100*p^81*q^1246+8082350*p^79*q^1248+313014*p ^77*q^1250+9290*p^75*q^1252+20*p^73*q^1254+8*p^110*q^1216+4940*p^108*q^1218+ 39284*p^106*q^1220+2335326*p^104*q^1222+33077528*p^102*q^1224+631713358*p^100*q ^1226+7996120309*p^98*q^1228+85888543628*p^96*q^1230+667600130815*p^94*q^1232+ 2263645117392*p^92*q^1234+1999159520978*p^90*q^1236+514385805180*p^88*q^1238+ 68121299077*p^86*q^1240+6778073294*p^84*q^1242+560736968*p^82*q^1244+39216444*p ^80*q^1246+1583696*p^78*q^1248+120964*p^76*q^1250+104*p^74*q^1252+28*p^109*q^ 1216+8900*p^107*q^1218+234954*p^105*q^1220+8698904*p^103*q^1222+149142886*p^101 *q^1224+2132467932*p^99*q^1226+25176017442*p^97*q^1228+242681211116*p^95*q^1230 +1377206401694*p^93*q^1232+2566343477493*p^91*q^1234+1190512511460*p^89*q^1236+ 208423028983*p^87*q^1238+23491646624*p^85*q^1240+2135841288*p^83*q^1242+ 164007888*p^81*q^1244+9496000*p^79*q^1246+297206*p^77*q^1248+11302*p^75*q^1250+ 4088*p^108*q^1216+23136*p^106*q^1218+1829690*p^104*q^1220+29096242*p^102*q^1222 +548608176*p^100*q^1224+7032662822*p^98*q^1226+76568564326*p^96*q^1228+ 612324337826*p^94*q^1230+2206394889486*p^92*q^1232+2104911387644*p^90*q^1234+ 568878349228*p^88*q^1236+76876514552*p^86*q^1238+7724568953*p^84*q^1240+ 642722272*p^82*q^1242+45449214*p^80*q^1244+2043266*p^78*q^1246+117690*p^76*q^ 1248+828*p^74*q^1250+172*p^109*q^1214+14868*p^107*q^1216+180124*p^105*q^1218+ 7861116*p^103*q^1220+122886566*p^101*q^1222+1869040488*p^99*q^1224+22285726750* p^97*q^1226+218531813596*p^95*q^1228+1296003540704*p^93*q^1230+2596761232896*p^ 91*q^1232+1288949839762*p^89*q^1234+233099830228*p^87*q^1236+26586898410*p^85*q ^1238+2421918606*p^83*q^1240+186743295*p^81*q^1242+11253734*p^79*q^1244+311900* p^77*q^1246+22952*p^75*q^1248+816*p^108*q^1214+25252*p^106*q^1216+1389704*p^104 *q^1218+26515110*p^102*q^1220+480505490*p^100*q^1222+6196524071*p^98*q^1224+ 68184734992*p^96*q^1226+560985944188*p^94*q^1228+2143624664242*p^92*q^1230+ 2204634809570*p^90*q^1232+628023112062*p^88*q^1234+86595362982*p^86*q^1236+ 8776984458*p^84*q^1238+739801200*p^82*q^1240+52672976*p^80*q^1242+2451132*p^78* q^1244+101604*p^76*q^1246+1516*p^74*q^1248+20*p^109*q^1212+22168*p^107*q^1214+ 142546*p^105*q^1216+6942672*p^103*q^1218+103063422*p^101*q^1220+1641375437*p^99 *q^1222+19741717374*p^97*q^1224+196552579490*p^95*q^1226+1214932448482*p^93*q^ 1228+2614788632858*p^91*q^1230+1390808105198*p^89*q^1232+260832972024*p^87*q^ 1234+30156750776*p^85*q^1236+2771336838*p^83*q^1238+212483698*p^81*q^1240+ 13647022*p^79*q^1242+426982*p^77*q^1244+35510*p^75*q^1246+32*p^73*q^1248+1596*p ^108*q^1212+34560*p^106*q^1214+966434*p^104*q^1216+23968074*p^102*q^1218+ 414656130*p^100*q^1220+5439615544*p^98*q^1222+60620363539*p^96*q^1224+ 512214833156*p^94*q^1226+2073795824146*p^92*q^1228+2301758705802*p^90*q^1230+ 692329020876*p^88*q^1232+97639560344*p^86*q^1234+9978048398*p^84*q^1236+ 841858666*p^82*q^1238+61244581*p^80*q^1240+2868578*p^78*q^1242+73368*p^76*q^ 1244+2164*p^74*q^1246+9996*p^107*q^1212+103772*p^105*q^1214+5920414*p^103*q^ 1216+87766254*p^101*q^1218+1436793994*p^99*q^1220+17438515047*p^97*q^1222+ 176480457538*p^95*q^1224+1136364123691*p^93*q^1226+2624460026542*p^91*q^1228+ 1495898132298*p^89*q^1230+291248702312*p^87*q^1232+34098967503*p^85*q^1234+ 3154772232*p^83*q^1236+244723038*p^81*q^1238+15757354*p^79*q^1240+567716*p^77*q ^1242+35360*p^75*q^1244+160*p^73*q^1246+600*p^108*q^1210+66176*p^106*q^1212+ 755848*p^104*q^1214+21711114*p^102*q^1216+355028802*p^100*q^1218+4790063171*p^ 98*q^1220+53919160054*p^96*q^1222+466726105174*p^94*q^1224+2000219592810*p^92*q ^1226+2394092789189*p^90*q^1228+760783271906*p^88*q^1230+109903128845*p^86*q^ 1232+11339764438*p^84*q^1234+962055890*p^82*q^1236+68917268*p^80*q^1238+3638554 *p^78*q^1240+69518*p^76*q^1242+7018*p^74*q^1244+9600*p^107*q^1210+99232*p^105*q ^1212+4676260*p^103*q^1214+76716742*p^101*q^1216+1264330370*p^99*q^1218+ 15430263198*p^97*q^1220+158220588912*p^95*q^1222+1057803638962*p^93*q^1224+ 2622147702174*p^91*q^1226+1604850895764*p^89*q^1228+325090434945*p^87*q^1230+ 38628372776*p^85*q^1232+3603790714*p^83*q^1234+282727868*p^81*q^1236+19210282*p ^79*q^1238+652462*p^77*q^1240+31510*p^75*q^1242+64*p^73*q^1244+76*p^108*q^1208+ 59898*p^106*q^1210+537284*p^104*q^1212+19696222*p^102*q^1214+300330744*p^100*q^ 1216+4201607506*p^98*q^1218+47860861457*p^96*q^1220+424405790954*p^94*q^1222+ 1918230964142*p^92*q^1224+2481637774730*p^90*q^1226+835784745996*p^88*q^1228+ 123632535592*p^86*q^1230+12891057289*p^84*q^1232+1098119560*p^82*q^1234+ 78046964*p^80*q^1236+4244404*p^78*q^1238+110742*p^76*q^1240+8196*p^74*q^1242+8* p^72*q^1244+20*p^109*q^1206+7208*p^107*q^1208+133480*p^105*q^1210+3634704*p^103 *q^1212+66871122*p^101*q^1214+1105174918*p^99*q^1216+13614590984*p^97*q^1218+ 141712633812*p^95*q^1220+983741889015*p^93*q^1222+2607062629918*p^91*q^1224+ 1716880994344*p^89*q^1226+362037122866*p^87*q^1228+43679837418*p^85*q^1230+ 4102312844*p^83*q^1232+322677404*p^81*q^1234+22356162*p^79*q^1236+832264*p^77*q ^1238+12536*p^75*q^1240+776*p^73*q^1242+32*p^108*q^1206+45876*p^106*q^1208+ 434686*p^104*q^1210+17387296*p^102*q^1212+258228716*p^100*q^1214+3695113572*p^ 98*q^1216+42500512090*p^96*q^1218+385243869950*p^94*q^1220+1836301685356*p^92*q ^1222+2558581146463*p^90*q^1224+915183646724*p^88*q^1226+139035051986*p^86*q^ 1228+14623691740*p^84*q^1230+1253361822*p^82*q^1232+90590496*p^80*q^1234+ 5236019*p^78*q^1236+129664*p^76*q^1238+12556*p^74*q^1240+1752*p^107*q^1206+ 197608*p^105*q^1208+2742196*p^103*q^1210+59673074*p^101*q^1212+960649992*p^99*q ^1214+12020122088*p^97*q^1216+126704088244*p^95*q^1218+910803523068*p^93*q^1220 +2584420739171*p^91*q^1222+1828830533196*p^89*q^1224+403123267949*p^87*q^1226+ 49411018920*p^85*q^1228+4687129171*p^83*q^1230+371260218*p^81*q^1232+24821302*p ^79*q^1234+1030982*p^77*q^1236+16254*p^75*q^1238+1200*p^73*q^1240+288*p^108*q^ 1204+46544*p^106*q^1206+348486*p^104*q^1208+14658176*p^102*q^1210+221066576*p^ 100*q^1212+3245919980*p^98*q^1214+37680893665*p^96*q^1216+348774598332*p^94*q^ 1218+1748603685272*p^92*q^1220+2631465138458*p^90*q^1222+1000110940358*p^88*q^ 1224+156347567414*p^86*q^1226+16598959100*p^84*q^1228+1432410000*p^82*q^1230+ 103997598*p^80*q^1232+6824186*p^78*q^1234+165508*p^76*q^1236+5536*p^74*q^1238+ 32*p^72*q^1240+984*p^107*q^1204+174470*p^105*q^1206+2082514*p^103*q^1208+ 53777611*p^101*q^1210+829586192*p^99*q^1212+10587984328*p^97*q^1214+ 113211391754*p^95*q^1216+841264885538*p^93*q^1218+2549090585522*p^91*q^1220+ 1944572425165*p^89*q^1222+447814393992*p^87*q^1224+55787169665*p^85*q^1226+ 5338880242*p^83*q^1228+422874118*p^81*q^1230+28141030*p^79*q^1232+1165347*p^77* q^1234+21956*p^75*q^1236+2864*p^73*q^1238+28*p^108*q^1202+20656*p^106*q^1204+ 461270*p^104*q^1206+11984020*p^102*q^1208+190204166*p^100*q^1210+2859892642*p^ 98*q^1212+33405811162*p^96*q^1214+315514331792*p^94*q^1216+1661233115806*p^92*q ^1218+2692542789395*p^90*q^1220+1090268698722*p^88*q^1222+175338530079*p^86*q^ 1224+18849424536*p^84*q^1226+1633131427*p^82*q^1228+120476982*p^80*q^1230+ 7847835*p^78*q^1232+222608*p^76*q^1234+1794*p^74*q^1236+128*p^72*q^1238+1808*p^ 107*q^1202+192868*p^105*q^1204+1578986*p^103*q^1206+48384306*p^101*q^1208+ 721349267*p^99*q^1210+9334958002*p^97*q^1212+100964244059*p^95*q^1214+ 775099221218*p^93*q^1216+2502885005540*p^91*q^1218+2058239962588*p^89*q^1220+ 497232593557*p^87*q^1222+63123067092*p^85*q^1224+6077855756*p^83*q^1226+ 485975392*p^81*q^1228+32419812*p^79*q^1230+1690170*p^77*q^1232+27692*p^75*q^ 1234+2652*p^73*q^1236+13016*p^106*q^1202+496306*p^104*q^1204+9312576*p^102*q^ 1206+164981730*p^100*q^1208+2494461682*p^98*q^1210+29582422083*p^96*q^1212+ 284568608758*p^94*q^1214+1570714897942*p^92*q^1216+2745356589016*p^90*q^1218+ 1186291414131*p^88*q^1220+196849959164*p^86*q^1222+21379016932*p^84*q^1224+ 1874395684*p^82*q^1226+137901694*p^80*q^1228+8817408*p^78*q^1230+226654*p^76*q^ 1232+3040*p^74*q^1234+300*p^72*q^1236+872*p^107*q^1200+137356*p^105*q^1202+ 1347374*p^103*q^1204+42491988*p^101*q^1206+619964850*p^99*q^1208+8228643438*p^ 97*q^1210+89978147534*p^95*q^1212+712358060293*p^93*q^1214+2450145651852*p^91*q ^1216+2171321295136*p^89*q^1218+550704604628*p^87*q^1220+71176910311*p^85*q^ 1222+6908539272*p^83*q^1224+550239136*p^81*q^1226+37348880*p^79*q^1228+2244138* p^77*q^1230+40800*p^75*q^1232+324*p^73*q^1234+8*p^71*q^1236+2*p^110*q^1196+8936 *p^106*q^1200+571362*p^104*q^1202+7402958*p^102*q^1204+146796578*p^100*q^1206+ 2193246975*p^98*q^1208+26186441362*p^96*q^1210+256561329335*p^94*q^1212+ 1481764452998*p^92*q^1214+2786236352275*p^90*q^1216+1286243968928*p^88*q^1218+ 220584751644*p^86*q^1220+24246212502*p^84*q^1222+2148324420*p^82*q^1224+ 159535702*p^80*q^1226+9952299*p^78*q^1228+306264*p^76*q^1230+3542*p^74*q^1232+ 768*p^72*q^1234+96*p^107*q^1198+96152*p^105*q^1200+1331890*p^103*q^1202+ 35691240*p^101*q^1204+534065020*p^99*q^1206+7236198548*p^97*q^1208+80146333682* p^95*q^1210+652247475408*p^93*q^1212+2387361584043*p^91*q^1214+2283354217894*p^ 89*q^1216+609161741688*p^87*q^1218+80360928400*p^85*q^1220+7876878008*p^83*q^ 1222+631249526*p^81*q^1224+43244162*p^79*q^1226+2670722*p^77*q^1228+41452*p^75* q^1230+296*p^73*q^1232+8*p^71*q^1234+8*p^110*q^1194+8040*p^106*q^1198+556346*p^ 104*q^1200+5692886*p^102*q^1202+130914814*p^100*q^1204+1912236730*p^98*q^1206+ 23165822545*p^96*q^1208+230624728184*p^94*q^1210+1391208490123*p^92*q^1212+ 2817708920420*p^90*q^1214+1392393065890*p^88*q^1216+247086817570*p^86*q^1218+ 27497782140*p^84*q^1220+2443688746*p^82*q^1222+182074298*p^80*q^1224+11302568*p ^78*q^1226+502493*p^76*q^1228+5972*p^74*q^1230+112*p^72*q^1232+24*p^109*q^1194+ 60*p^107*q^1196+59680*p^105*q^1198+1379450*p^103*q^1200+29766594*p^101*q^1202+ 458889432*p^99*q^1204+6366970576*p^97*q^1206+71263727168*p^95*q^1208+ 596950300092*p^93*q^1210+2314487235538*p^91*q^1212+2392540284846*p^89*q^1214+ 672749658744*p^87*q^1216+90598533755*p^85*q^1218+8945909888*p^83*q^1220+ 727703185*p^81*q^1222+49974210*p^79*q^1224+3036849*p^77*q^1226+43642*p^75*q^ 1228+332*p^73*q^1230+120*p^71*q^1232+4*p^108*q^1194+2660*p^106*q^1196+462020*p^ 104*q^1198+4790774*p^102*q^1200+115827872*p^100*q^1202+1672756570*p^98*q^1204+ 20471316634*p^96*q^1206+207288712714*p^94*q^1208+1304215429646*p^92*q^1210+ 2834572521418*p^90*q^1212+1501760395172*p^88*q^1214+276311198613*p^86*q^1216+ 31140427006*p^84*q^1218+2791397858*p^82*q^1220+205646286*p^80*q^1222+13124156*p ^78*q^1224+682374*p^76*q^1226+6480*p^74*q^1228+16*p^72*q^1230+120*p^109*q^1192+ 43792*p^105*q^1196+1567661*p^103*q^1198+23994386*p^101*q^1200+402967952*p^99*q^ 1202+5598234250*p^97*q^1204+63361827830*p^95*q^1206+544361933156*p^93*q^1208+ 2238987213371*p^91*q^1210+2493681697922*p^89*q^1212+741738802888*p^87*q^1214+ 102208463488*p^85*q^1216+10196258243*p^83*q^1218+835084690*p^81*q^1220+58618470 *p^79*q^1222+3405664*p^77*q^1224+78366*p^75*q^1226+608*p^73*q^1228+24*p^71*q^ 1230+110*p^108*q^1192+1496*p^106*q^1194+364096*p^104*q^1196+3975056*p^102*q^ 1198+101133650*p^100*q^1200+1444951878*p^98*q^1202+18073293089*p^96*q^1204+ 185651744072*p^94*q^1206+1216422004664*p^92*q^1208+2843626417106*p^90*q^1210+ 1615576627158*p^88*q^1212+308896689114*p^86*q^1214+35287131292*p^84*q^1216+ 3186294616*p^82*q^1218+236584866*p^80*q^1220+14984998*p^78*q^1222+864430*p^76*q ^1224+5860*p^74*q^1226+20*p^72*q^1228+8*p^70*q^1230+8*p^109*q^1190+64*p^107*q^ 1192+28740*p^105*q^1194+1526326*p^103*q^1196+19487566*p^101*q^1198+351378216*p^ 99*q^1200+4923302556*p^97*q^1202+56279127428*p^95*q^1204+495400819528*p^93*q^ 1206+2155502429838*p^91*q^1208+2595268917449*p^89*q^1210+815260862048*p^87*q^ 1212+115079308793*p^85*q^1214+11577851620*p^83*q^1216+953030225*p^81*q^1218+ 65763840*p^79*q^1220+3932356*p^77*q^1222+129302*p^75*q^1224+736*p^73*q^1226+772 *p^108*q^1190+212*p^106*q^1192+222618*p^104*q^1194+3993773*p^102*q^1196+ 86848272*p^100*q^1198+1258917727*p^98*q^1200+15963557318*p^96*q^1202+ 166439730221*p^94*q^1204+1132400242538*p^92*q^1206+2836489002856*p^90*q^1208+ 1732930938000*p^88*q^1210+344561392036*p^86*q^1212+39929540386*p^84*q^1214+ 3635695749*p^82*q^1216+274024316*p^80*q^1218+17900388*p^78*q^1220+973660*p^76*q ^1222+8540*p^74*q^1224+32*p^72*q^1226+2*p^70*q^1228+8*p^109*q^1188+244*p^107*q^ 1190+17252*p^105*q^1192+1498980*p^103*q^1194+15782174*p^101*q^1196+311143260*p^ 99*q^1198+4328071144*p^97*q^1200+49927050526*p^95*q^1202+450091441538*p^93*q^ 1204+2066126996469*p^91*q^1206+2686281747526*p^89*q^1208+895661019271*p^87*q^ 1210+129596017978*p^85*q^1212+13179773423*p^83*q^1214+1094917190*p^81*q^1216+ 74736316*p^79*q^1218+4419404*p^77*q^1220+202122*p^75*q^1222+600*p^73*q^1224+298 *p^108*q^1188+528*p^106*q^1190+179760*p^104*q^1192+3979708*p^102*q^1194+ 72649355*p^100*q^1196+1089737432*p^98*q^1198+14049214181*p^96*q^1200+ 148750698080*p^94*q^1202+1050409881530*p^92*q^1204+2819252953634*p^90*q^1206+ 1852960007658*p^88*q^1208+384414565758*p^86*q^1210+45213456445*p^84*q^1212+ 4146426656*p^82*q^1214+314244328*p^80*q^1216+20861794*p^78*q^1218+1146146*p^76* q^1220+16460*p^74*q^1222+44*p^72*q^1224+2674*p^107*q^1188+5888*p^105*q^1190+ 1079946*p^103*q^1192+12929671*p^101*q^1194+274053766*p^99*q^1196+3782384233*p^ 97*q^1198+44310853384*p^95*q^1200+407934269938*p^93*q^1202+1974562915582*p^91*q ^1204+2769914439743*p^89*q^1206+981222501044*p^87*q^1208+145736343862*p^85*q^ 1210+14941131528*p^83*q^1212+1247876747*p^81*q^1214+85820300*p^79*q^1216+ 5078466*p^77*q^1218+242540*p^75*q^1220+948*p^73*q^1222+128*p^108*q^1186+488*p^ 106*q^1188+127764*p^104*q^1190+4315008*p^102*q^1192+61353344*p^100*q^1194+ 948823137*p^98*q^1196+12412993620*p^96*q^1198+132941753381*p^94*q^1200+ 972582407744*p^92*q^1202+2790456958325*p^90*q^1204+1973464228806*p^88*q^1206+ 427645296402*p^86*q^1208+51148998002*p^84*q^1210+4737004751*p^82*q^1212+ 361872978*p^80*q^1214+23359602*p^78*q^1216+1340858*p^76*q^1218+33572*p^74*q^ 1220+24*p^72*q^1222+2808*p^107*q^1186+3480*p^105*q^1188+843974*p^103*q^1190+ 11465886*p^101*q^1192+239334098*p^99*q^1194+3319163624*p^97*q^1196+39222375499* p^95*q^1198+368925477334*p^93*q^1200+1879670181536*p^91*q^1202+2844733414550*p^ 89*q^1204+1072106169734*p^87*q^1206+164050755890*p^85*q^1208+16988021401*p^83*q ^1210+1430766714*p^81*q^1212+99464364*p^79*q^1214+6380994*p^77*q^1216+292566*p^ 75*q^1218+1228*p^73*q^1220+40*p^108*q^1184+5204*p^106*q^1186+68420*p^104*q^1188 +3963966*p^102*q^1190+49767557*p^100*q^1192+831190378*p^98*q^1194+10919138692*p ^96*q^1196+118547916428*p^94*q^1198+896367555921*p^92*q^1200+2751491007802*p^90 *q^1202+2097447670006*p^88*q^1204+475521064578*p^86*q^1206+57814695267*p^84*q^ 1208+5397014082*p^82*q^1210+414620352*p^80*q^1212+26165592*p^78*q^1214+1382806* p^76*q^1216+51150*p^74*q^1218+120*p^72*q^1220+1228*p^107*q^1184+3864*p^105*q^ 1186+675564*p^103*q^1188+10992626*p^101*q^1190+206803426*p^99*q^1192+2889123359 *p^97*q^1194+34725808556*p^95*q^1196+333207748154*p^93*q^1198+1781556016664*p^ 91*q^1200+2911738588205*p^89*q^1202+1169044495210*p^87*q^1204+184096394408*p^85 *q^1206+19294382812*p^83*q^1208+1634556353*p^81*q^1210+115124118*p^79*q^1212+ 7369110*p^77*q^1214+391576*p^75*q^1216+3312*p^73*q^1218+11964*p^106*q^1184+ 30378*p^104*q^1186+3257592*p^102*q^1188+41250666*p^100*q^1190+729880203*p^98*q^ 1192+9631604384*p^96*q^1194+105787574338*p^94*q^1196+825435047566*p^92*q^1198+ 2698050766385*p^90*q^1200+2220152749832*p^88*q^1202+527863879544*p^86*q^1204+ 65362775930*p^84*q^1206+6134878033*p^82*q^1208+475854126*p^80*q^1210+29896672*p ^78*q^1212+1723564*p^76*q^1214+57822*p^74*q^1216+40*p^72*q^1218+888*p^107*q^ 1182+6148*p^105*q^1184+473932*p^103*q^1186+11204822*p^101*q^1188+177600675*p^99 *q^1190+2522883796*p^97*q^1192+30721942245*p^95*q^1194+300303165088*p^93*q^1196 +1684535851913*p^91*q^1198+2962863803124*p^89*q^1200+1271789028695*p^87*q^1202+ 206686837598*p^85*q^1204+21897201722*p^83*q^1206+1880163110*p^81*q^1208+ 132987958*p^79*q^1210+8199510*p^77*q^1212+404370*p^75*q^1214+8668*p^73*q^1216+8 *p^71*q^1218+16*p^108*q^1180+8220*p^106*q^1182+32962*p^104*q^1184+2780278*p^102 *q^1186+34670152*p^100*q^1188+639457884*p^98*q^1190+8468331769*p^96*q^1192+ 94093934572*p^94*q^1194+757153774733*p^92*q^1196+2638963961870*p^90*q^1198+ 2340838751967*p^88*q^1200+585475452734*p^86*q^1202+73875906370*p^84*q^1204+ 7000720650*p^82*q^1206+543520280*p^80*q^1208+34748722*p^78*q^1210+2251572*p^76* q^1212+91252*p^74*q^1214+136*p^72*q^1216+52*p^107*q^1180+26978*p^105*q^1182+ 261002*p^103*q^1184+10150154*p^101*q^1186+149297480*p^99*q^1188+2200382170*p^97 *q^1190+27140250150*p^95*q^1192+270149690488*p^93*q^1194+1585850312832*p^91*q^ 1196+3008786613619*p^89*q^1198+1379072068600*p^87*q^1200+231723186658*p^85*q^ 1202+24813476076*p^83*q^1204+2141290499*p^81*q^1206+152997282*p^79*q^1208+ 8966154*p^77*q^1210+405582*p^75*q^1212+8984*p^73*q^1214+7614*p^106*q^1180+15180 *p^104*q^1182+2248064*p^102*q^1184+31574188*p^100*q^1186+560309057*p^98*q^1188+ 7446887388*p^96*q^1190+83819438283*p^94*q^1192+693322989768*p^92*q^1194+ 2568083618133*p^90*q^1196+2460760417104*p^88*q^1198+647164519582*p^86*q^1200+ 83381214136*p^84*q^1202+7969907710*p^82*q^1204+625202236*p^80*q^1206+40693592*p ^78*q^1208+2619828*p^76*q^1210+118678*p^74*q^1212+980*p^72*q^1214+262*p^107*q^ 1178+32490*p^105*q^1180+209520*p^103*q^1182+9306892*p^101*q^1184+125379420*p^99 *q^1186+1929662724*p^97*q^1188+23982093514*p^95*q^1190+242813206960*p^93*q^1192 +1488187089467*p^91*q^1194+3036835820670*p^89*q^1196+1492665050711*p^87*q^1198+ 259732032086*p^85*q^1200+28200019702*p^83*q^1202+2447914730*p^81*q^1204+ 176500648*p^79*q^1206+9976198*p^77*q^1208+592640*p^75*q^1210+13860*p^73*q^1212+ 2232*p^106*q^1178+39610*p^104*q^1180+1589778*p^102*q^1182+28909244*p^100*q^1184 +487216278*p^98*q^1186+6520097173*p^96*q^1188+74380468480*p^94*q^1190+ 632942441534*p^92*q^1192+2488960009142*p^90*q^1194+2576901457618*p^88*q^1196+ 715413033782*p^86*q^1198+94130723419*p^84*q^1200+9062191452*p^82*q^1202+ 720401440*p^80*q^1204+47099202*p^78*q^1206+2939774*p^76*q^1208+103188*p^74*q^ 1210+1276*p^72*q^1212+28*p^107*q^1176+36554*p^105*q^1178+128566*p^103*q^1180+ 8085479*p^101*q^1182+105275450*p^99*q^1184+1686474014*p^97*q^1186+21188263582*p ^95*q^1188+217778026244*p^93*q^1190+1392606238084*p^91*q^1192+3056198992679*p^ 89*q^1194+1609939513812*p^87*q^1196+290575375958*p^85*q^1198+31912786304*p^83*q ^1200+2795048238*p^81*q^1202+199504170*p^79*q^1204+11621990*p^77*q^1206+750112* p^75*q^1208+28172*p^73*q^1210+52*p^71*q^1212+2026*p^106*q^1176+73110*p^104*q^ 1178+1142770*p^102*q^1180+26958964*p^100*q^1182+421818292*p^98*q^1184+ 5729223940*p^96*q^1186+66102972983*p^94*q^1188+576927087038*p^92*q^1190+ 2403729948469*p^90*q^1192+2685953911262*p^88*q^1194+788477916622*p^86*q^1196+ 106128560508*p^84*q^1198+10333361306*p^82*q^1200+824657930*p^80*q^1202+55794256 *p^78*q^1204+3059338*p^76*q^1206+123890*p^74*q^1208+1084*p^72*q^1210+23504*p^ 105*q^1176+95182*p^103*q^1178+6810906*p^101*q^1180+91055395*p^99*q^1182+ 1477114344*p^97*q^1184+18686012244*p^95*q^1186+195111024946*p^93*q^1188+ 1298427708952*p^91*q^1190+3059857023376*p^89*q^1192+1731923417299*p^87*q^1194+ 324914917848*p^85*q^1196+36229892101*p^83*q^1198+3192167454*p^81*q^1200+ 231814329*p^79*q^1202+13490514*p^77*q^1204+977420*p^75*q^1206+28548*p^73*q^1208 +144*p^71*q^1210+940*p^106*q^1174+107402*p^104*q^1176+862584*p^102*q^1178+ 24421329*p^100*q^1180+360037012*p^98*q^1182+5017029608*p^96*q^1184+58595758626* p^94*q^1186+524076290954*p^92*q^1188+2312507891262*p^90*q^1190+2792579848922*p^ 88*q^1192+867345043256*p^86*q^1194+119700492608*p^84*q^1196+11736020288*p^82*q^ 1198+946232960*p^80*q^1200+62754188*p^78*q^1202+3283302*p^76*q^1204+172844*p^74 *q^1206+4492*p^72*q^1208+12586*p^105*q^1174+127904*p^103*q^1176+5235358*p^101*q ^1178+80348436*p^99*q^1180+1295350318*p^97*q^1182+16470965474*p^95*q^1184+ 174534641796*p^93*q^1186+1206513604324*p^91*q^1188+3053373416517*p^89*q^1190+ 1857342489042*p^87*q^1192+362826187396*p^85*q^1194+40977698990*p^83*q^1196+ 3642535373*p^81*q^1198+267097494*p^79*q^1200+16381010*p^77*q^1202+1067426*p^75* q^1204+24286*p^73*q^1206+32*p^71*q^1208+72*p^106*q^1172+115028*p^104*q^1174+ 539854*p^102*q^1176+22219696*p^100*q^1178+306153943*p^98*q^1180+4396318066*p^96 *q^1182+51978842800*p^94*q^1184+475887732460*p^92*q^1186+2213662882586*p^90*q^ 1188+2890280343300*p^88*q^1190+952579837401*p^86*q^1192+134718364964*p^84*q^ 1194+13357111270*p^82*q^1196+1083700484*p^80*q^1198+71767373*p^78*q^1200+ 3617534*p^76*q^1202+261172*p^74*q^1204+6484*p^72*q^1206+8*p^70*q^1208+4*p^107*q ^1170+10840*p^105*q^1172+201460*p^103*q^1174+4205588*p^101*q^1176+71847285*p^99 *q^1178+1135285956*p^97*q^1180+14520477999*p^95*q^1182+156022706606*p^93*q^1184 +1118756949924*p^91*q^1186+3029215546754*p^89*q^1188+1985458403617*p^87*q^1190+ 404694310502*p^85*q^1192+46472981456*p^83*q^1194+4160926198*p^81*q^1196+ 307542501*p^79*q^1198+19541120*p^77*q^1200+1094776*p^75*q^1202+31260*p^73*q^ 1204+372*p^71*q^1206+60*p^106*q^1170+72598*p^104*q^1172+446924*p^102*q^1174+ 19192456*p^100*q^1176+262899374*p^98*q^1178+3841195261*p^96*q^1180+45972280700* p^94*q^1182+430463385767*p^92*q^1184+2114350743782*p^90*q^1186+2976676227151*p^ 88*q^1188+1044336420920*p^86*q^1190+151793034931*p^84*q^1192+15183390868*p^82*q ^1194+1239367485*p^80*q^1196+83247350*p^78*q^1198+4195968*p^76*q^1200+360654*p^ 74*q^1202+5640*p^72*q^1204+2332*p^105*q^1170+318442*p^103*q^1172+3012960*p^101* q^1174+64480516*p^99*q^1176+981776339*p^97*q^1178+12787559732*p^95*q^1180+ 139128989058*p^93*q^1182+1033953585336*p^91*q^1184+2999125920332*p^89*q^1186+ 2115048964248*p^87*q^1188+450476967765*p^85*q^1190+52552478376*p^83*q^1192+ 4742222006*p^81*q^1194+353104424*p^79*q^1196+21747786*p^77*q^1198+1101654*p^75* q^1200+45887*p^73*q^1202+1112*p^71*q^1204+60*p^106*q^1168+67254*p^104*q^1170+ 382830*p^102*q^1172+16124328*p^100*q^1174+227811093*p^98*q^1176+3385913264*p^96 *q^1178+40726360125*p^94*q^1180+389109806888*p^92*q^1182+2009773182734*p^90*q^ 1184+3058212998058*p^88*q^1186+1140064796823*p^86*q^1188+170761983226*p^84*q^ 1190+17241857040*p^82*q^1192+1420426008*p^80*q^1194+96154016*p^78*q^1196+ 5538516*p^76*q^1198+385858*p^74*q^1200+4478*p^72*q^1202+8*p^70*q^1204+1408*p^ 105*q^1168+288932*p^103*q^1170+2353060*p^101*q^1172+58535638*p^99*q^1174+ 850344992*p^97*q^1176+11231737220*p^95*q^1178+124140736804*p^93*q^1180+ 952264989371*p^91*q^1182+2951257782328*p^89*q^1184+2246769651171*p^87*q^1186+ 501276560190*p^85*q^1188+59480092915*p^83*q^1190+5425819592*p^81*q^1192+ 407148168*p^79*q^1194+25163010*p^77*q^1196+1017090*p^75*q^1198+98930*p^73*q^ 1200+1056*p^71*q^1202+12*p^106*q^1166+30278*p^104*q^1168+607136*p^102*q^1170+ 13062706*p^100*q^1172+197342836*p^98*q^1174+2960699533*p^96*q^1176+35998874220* p^94*q^1178+350848955137*p^92*q^1180+1903478538524*p^90*q^1182+3125717724854*p^ 88*q^1184+1244790343386*p^86*q^1186+191794566662*p^84*q^1188+19614741696*p^82*q ^1190+1623071124*p^80*q^1192+110900928*p^78*q^1194+6421238*p^76*q^1196+443360*p ^74*q^1198+4656*p^72*q^1200+136*p^70*q^1202+4*p^109*q^1162+536*p^105*q^1166+ 279538*p^103*q^1168+1605708*p^101*q^1170+51896230*p^99*q^1172+734417962*p^97*q^ 1174+9866400222*p^95*q^1176+110428715472*p^93*q^1178+875613036574*p^91*q^1180+ 2894491917996*p^89*q^1182+2377789048198*p^87*q^1184+556525656312*p^85*q^1186+ 67271414458*p^83*q^1188+6154689734*p^81*q^1190+466896998*p^79*q^1192+28865424*p ^77*q^1194+1291496*p^75*q^1196+109736*p^73*q^1198+642*p^71*q^1200+4*p^106*q^ 1164+16296*p^104*q^1166+738506*p^102*q^1168+10583094*p^100*q^1170+174502410*p^ 98*q^1172+2594316136*p^96*q^1174+31880888761*p^94*q^1176+316115174842*p^92*q^ 1178+1797548717309*p^90*q^1180+3180910444810*p^88*q^1182+1353191304992*p^86*q^ 1184+215433140628*p^84*q^1186+22242737861*p^82*q^1188+1866873450*p^80*q^1190+ 127802682*p^78*q^1192+7438044*p^76*q^1194+354292*p^74*q^1196+18638*p^72*q^1198+ 104*p^70*q^1200+444*p^105*q^1164+202662*p^103*q^1166+1454360*p^101*q^1168+ 45201686*p^99*q^1170+634728184*p^97*q^1172+8679635472*p^95*q^1174+98192987140*p ^93*q^1176+802580759096*p^91*q^1178+2825796912414*p^89*q^1180+2506232746320*p^ 87*q^1182+617361604776*p^85*q^1184+76108126854*p^83*q^1186+7040635908*p^81*q^ 1188+535202513*p^79*q^1190+34022336*p^77*q^1192+1693702*p^75*q^1194+160760*p^73 *q^1196+232*p^71*q^1198+8*p^69*q^1200+56*p^108*q^1160+7392*p^104*q^1164+809656* p^102*q^1166+8081818*p^100*q^1168+154252872*p^98*q^1170+2262664329*p^96*q^1172+ 28077022056*p^94*q^1174+284074233879*p^92*q^1176+1691167415336*p^90*q^1178+ 3225752096179*p^88*q^1180+1468117675624*p^86*q^1182+241804318627*p^84*q^1184+ 25257430788*p^82*q^1186+2128342776*p^80*q^1188+147525984*p^78*q^1190+8338688*p^ 76*q^1192+294514*p^74*q^1194+24942*p^72*q^1196+96*p^70*q^1198+116*p^105*q^1162+ 119118*p^103*q^1164+1634494*p^101*q^1166+38456404*p^99*q^1168+550498574*p^97*q^ 1170+7616507640*p^95*q^1172+87312936224*p^93*q^1174+733456128986*p^91*q^1176+ 2750310427209*p^89*q^1178+2633738873030*p^87*q^1180+682822944759*p^85*q^1182+ 85906875282*p^83*q^1184+8009548790*p^81*q^1186+616036542*p^79*q^1188+38772980*p ^77*q^1190+2062128*p^75*q^1192+173848*p^73*q^1194+1904*p^71*q^1196+4*p^69*q^ 1198+8*p^108*q^1158+4708*p^104*q^1162+805208*p^102*q^1164+6002598*p^100*q^1166+ 137799360*p^98*q^1168+1973509192*p^96*q^1170+24823761845*p^94*q^1172+ 254913276518*p^92*q^1174+1585070134276*p^90*q^1176+3257389146386*p^88*q^1178+ 1588376885158*p^86*q^1180+270938397434*p^84*q^1182+28685437306*p^82*q^1184+ 2430859428*p^80*q^1186+170001333*p^78*q^1188+9882322*p^76*q^1190+371086*p^74*q^ 1192+36484*p^72*q^1194+316*p^107*q^1158+40*p^105*q^1160+76078*p^103*q^1162+ 1770016*p^101*q^1164+32701910*p^99*q^1166+476302264*p^97*q^1168+6702845893*p^95 *q^1170+77527076932*p^93*q^1172+669516430648*p^91*q^1174+2660422458622*p^89*q^ 1176+2757188651946*p^87*q^1178+754724572994*p^85*q^1180+97043071235*p^83*q^1182 +9126176572*p^81*q^1184+711330996*p^79*q^1186+44919748*p^77*q^1188+2360168*p^75 *q^1190+120876*p^73*q^1192+4928*p^71*q^1194+8*p^69*q^1196+4*p^106*q^1158+2350*p ^104*q^1160+593184*p^102*q^1162+5282452*p^100*q^1164+120618986*p^98*q^1166+ 1719264006*p^96*q^1168+21849367908*p^94*q^1170+228414334243*p^92*q^1172+ 1481322317488*p^90*q^1174+3271804966275*p^88*q^1176+1714534772988*p^86*q^1178+ 303492550846*p^84*q^1180+32554473708*p^82*q^1182+2781950897*p^80*q^1184+ 194707068*p^78*q^1186+11621712*p^76*q^1188+476638*p^74*q^1190+67980*p^72*q^1192 +72*p^70*q^1194+200*p^107*q^1156+4*p^105*q^1158+36644*p^103*q^1160+2111580*p^ 101*q^1162+25457310*p^99*q^1164+416666901*p^97*q^1166+5859096894*p^95*q^1168+ 68720812645*p^93*q^1170+609200006956*p^91*q^1172+2569760316073*p^89*q^1174+ 2873152258386*p^87*q^1176+832455730048*p^85*q^1178+109472385356*p^83*q^1180+ 10380367126*p^81*q^1182+811344190*p^79*q^1184+52138379*p^77*q^1186+2647962*p^75 *q^1188+94290*p^73*q^1190+4088*p^71*q^1192+924*p^106*q^1156+968*p^104*q^1158+ 462766*p^102*q^1160+4527244*p^100*q^1162+107775406*p^98*q^1164+1495418402*p^96* q^1166+19301536692*p^94*q^1168+204505708302*p^92*q^1170+1380114473007*p^90*q^ 1172+3276842447320*p^88*q^1174+1842470415965*p^86*q^1176+339282562794*p^84*q^ 1178+36879268619*p^82*q^1180+3175675194*p^80*q^1182+226687884*p^78*q^1184+ 13223106*p^76*q^1186+629072*p^74*q^1188+61584*p^72*q^1190+678*p^70*q^1192+16*p^ 107*q^1154+60*p^105*q^1156+27224*p^103*q^1158+1997934*p^101*q^1160+21187408*p^ 99*q^1162+365511426*p^97*q^1164+5150268814*p^95*q^1166+60939509800*p^93*q^1168+ 553026977437*p^91*q^1170+2467325670254*p^89*q^1172+2985799171222*p^87*q^1174+ 915850593818*p^85*q^1176+123648082835*p^83*q^1178+11842004738*p^81*q^1180+ 934525033*p^79*q^1182+59538372*p^77*q^1184+3297038*p^75*q^1186+86322*p^73*q^ 1188+16556*p^71*q^1190+1556*p^106*q^1154+240*p^104*q^1156+259554*p^102*q^1158+ 4731638*p^100*q^1160+91052618*p^98*q^1162+1295858484*p^96*q^1164+16955297648*p^ 94*q^1166+182662849098*p^92*q^1168+1280979625954*p^90*q^1170+3264775071299*p^88 *q^1172+1977312001128*p^86*q^1174+379222122997*p^84*q^1176+41800940618*p^82*q^ 1178+3624195951*p^80*q^1180+261085458*p^78*q^1182+15597742*p^76*q^1184+666782*p ^74*q^1186+49992*p^72*q^1188+148*p^70*q^1190+12*p^107*q^1152+1512*p^105*q^1154+ 12576*p^103*q^1156+1814954*p^101*q^1158+17049228*p^99*q^1160+322651653*p^97*q^ 1162+4507378806*p^95*q^1164+53943082051*p^93*q^1166+501436775254*p^91*q^1168+ 2362376889072*p^89*q^1170+3088240901566*p^87*q^1172+1006131241705*p^85*q^1174+ 139144779656*p^83*q^1176+13462911865*p^81*q^1178+1066053962*p^79*q^1180+ 68502490*p^77*q^1182+3737334*p^75*q^1184+136764*p^73*q^1186+21516*p^71*q^1188+ 42*p^69*q^1190+472*p^106*q^1152+496*p^104*q^1154+192410*p^102*q^1156+4998964*p^ 100*q^1158+77187072*p^98*q^1160+1129651054*p^96*q^1162+14945972465*p^94*q^1164+ 163075751184*p^92*q^1166+1186626763300*p^90*q^1168+3239856358978*p^88*q^1170+ 2112531787555*p^86*q^1172+422951157864*p^84*q^1174+47412518966*p^82*q^1176+ 4141617226*p^80*q^1178+302008767*p^78*q^1180+18157962*p^76*q^1182+839640*p^74*q ^1184+21834*p^72*q^1186+2160*p^70*q^1188+5608*p^105*q^1152+5684*p^103*q^1154+ 1348952*p^101*q^1156+14338460*p^99*q^1158+285536386*p^97*q^1160+3944313771*p^95 *q^1162+47758795330*p^93*q^1164+453346219298*p^91*q^1166+2251988388018*p^89*q^ 1168+3180714156039*p^87*q^1170+1102678337776*p^85*q^1172+156903446546*p^83*q^ 1174+15313155474*p^81*q^1176+1221471246*p^79*q^1178+79833672*p^77*q^1180+ 4394222*p^75*q^1182+159992*p^73*q^1184+26270*p^71*q^1186+272*p^106*q^1150+1780* p^104*q^1152+116324*p^102*q^1154+5084136*p^100*q^1156+64789438*p^98*q^1158+ 980595733*p^96*q^1160+13136967200*p^94*q^1162+145320757333*p^92*q^1164+ 1095078706270*p^90*q^1166+3201973958086*p^88*q^1168+2251131137358*p^86*q^1170+ 471411173205*p^84*q^1172+53699199660*p^82*q^1174+4738279724*p^80*q^1176+ 347800804*p^78*q^1178+20349342*p^76*q^1180+991872*p^74*q^1182+20000*p^72*q^1184 +4768*p^70*q^1186+4280*p^105*q^1150+3560*p^103*q^1152+984540*p^101*q^1154+ 13023872*p^99*q^1156+247633740*p^97*q^1158+3444831090*p^95*q^1160+42191134548*p ^93*q^1162+409184400114*p^91*q^1164+2140414830740*p^89*q^1166+3264727531036*p^ 87*q^1168+1205061998149*p^85*q^1170+176494578360*p^83*q^1172+17385473785*p^81*q ^1174+1395460960*p^79*q^1176+92273086*p^77*q^1178+5442092*p^75*q^1180+186536*p^ 73*q^1182+15308*p^71*q^1184+104*p^69*q^1186+20*p^106*q^1148+10676*p^104*q^1150+ 63968*p^102*q^1152+4717840*p^100*q^1154+53514880*p^98*q^1156+862331872*p^96*q^ 1158+11550882363*p^94*q^1160+129522707276*p^92*q^1162+1007924228616*p^90*q^1164 +3151571373424*p^88*q^1166+2389854917570*p^86*q^1168+524314007452*p^84*q^1170+ 60764787317*p^82*q^1172+5411024116*p^80*q^1174+398970271*p^78*q^1176+23326978*p ^76*q^1178+1122070*p^74*q^1180+34914*p^72*q^1182+7888*p^70*q^1184+2732*p^105*q^ 1148+5634*p^103*q^1150+732850*p^101*q^1152+12682328*p^99*q^1154+216002098*p^97* q^1156+3005310812*p^95*q^1158+37320675266*p^93*q^1160+368684805324*p^91*q^1162+ 2024195432360*p^89*q^1164+3336235952357*p^87*q^1166+1314920341676*p^85*q^1168+ 198510238754*p^83*q^1170+19804806746*p^81*q^1172+1600011781*p^79*q^1174+ 108847858*p^77*q^1176+6295224*p^75*q^1178+240560*p^73*q^1180+2674*p^71*q^1182+ 680*p^69*q^1184+17032*p^104*q^1148+34352*p^102*q^1150+3853818*p^100*q^1152+ 44808000*p^98*q^1154+753227119*p^96*q^1156+10148846462*p^94*q^1158+115109536456 *p^92*q^1160+925738281302*p^90*q^1162+3084971922661*p^88*q^1164+2529729011996*p ^86*q^1166+582803759927*p^84*q^1168+68835416762*p^82*q^1170+6157174412*p^80*q^ 1172+456947766*p^78*q^1174+26587201*p^76*q^1176+1423202*p^74*q^1178+35068*p^72* q^1180+9820*p^70*q^1182+912*p^105*q^1146+12672*p^103*q^1148+458892*p^101*q^1150 +12587912*p^99*q^1152+184098498*p^97*q^1154+2619045466*p^95*q^1156+32890632743* p^93*q^1158+331705730938*p^91*q^1160+1910510613170*p^89*q^1162+3392929428768*p^ 87*q^1164+1430456631062*p^85*q^1166+223002902356*p^83*q^1168+22467727578*p^81*q ^1170+1836389758*p^79*q^1172+125414044*p^77*q^1174+7014204*p^75*q^1176+263098*p ^73*q^1178+5682*p^71*q^1180+1104*p^69*q^1182+4*p^106*q^1144+15836*p^104*q^1146+ 34732*p^102*q^1148+3213542*p^100*q^1150+38045290*p^98*q^1152+662809974*p^96*q^ 1154+8913666467*p^94*q^1156+102351615632*p^92*q^1158+847822611437*p^90*q^1160+ 3014114812902*p^88*q^1162+2664109297674*p^86*q^1164+646205017404*p^84*q^1166+ 77810002533*p^82*q^1168+7025975244*p^80*q^1170+521297397*p^78*q^1172+31654116*p ^76*q^1174+1870860*p^74*q^1176+50876*p^72*q^1178+1880*p^70*q^1180+48*p^68*q^ 1182+44*p^105*q^1144+34856*p^103*q^1146+298834*p^101*q^1148+11681049*p^99*q^ 1150+158660820*p^97*q^1152+2289986590*p^95*q^1154+29055829666*p^93*q^1156+ 297741824945*p^91*q^1158+1794868940030*p^89*q^1160+3439229290109*p^87*q^1162+ 1551314689920*p^85*q^1164+250511486208*p^83*q^1166+25563144476*p^81*q^1168+ 2110547975*p^79*q^1170+145660580*p^77*q^1172+7667302*p^75*q^1174+309212*p^73*q^ 1176+6040*p^71*q^1178+3680*p^69*q^1180+10144*p^104*q^1144+27644*p^102*q^1146+ 2365362*p^100*q^1148+34539416*p^98*q^1150+575924975*p^96*q^1152+7806759168*p^94 *q^1154+90834900424*p^92*q^1156+773694935042*p^90*q^1158+2927236221839*p^88*q^ 1160+2801846201376*p^86*q^1162+715472910030*p^84*q^1164+87971471304*p^82*q^1166 +8015179724*p^80*q^1168+597077008*p^78*q^1170+37034752*p^76*q^1172+2212168*p^74 *q^1174+55908*p^72*q^1176+492*p^70*q^1178+48*p^68*q^1180+148*p^105*q^1142+51372 *p^103*q^1144+207514*p^101*q^1146+10541558*p^99*q^1148+132168234*p^97*q^1150+ 2001356858*p^95*q^1152+25601366016*p^93*q^1154+267024178774*p^91*q^1156+ 1681426864936*p^89*q^1158+3469997189574*p^87*q^1160+1679225560910*p^85*q^1162+ 280694891982*p^83*q^1164+29017740043*p^81*q^1166+2402081776*p^79*q^1168+ 166734888*p^77*q^1170+8665466*p^75*q^1172+441998*p^73*q^1174+8244*p^71*q^1176+ 1542*p^69*q^1178+2196*p^104*q^1142+48080*p^102*q^1144+1757984*p^100*q^1146+ 32072795*p^98*q^1148+505436468*p^96*q^1150+6848038741*p^94*q^1152+80597009022*p ^92*q^1154+705818238337*p^90*q^1156+2832233990920*p^88*q^1158+2929848026845*p^ 86*q^1160+790824070890*p^84*q^1162+99367991012*p^82*q^1164+9120911180*p^80*q^ 1166+692891173*p^78*q^1168+43764806*p^76*q^1170+2453308*p^74*q^1172+63732*p^72* q^1174+1048*p^70*q^1176+716*p^68*q^1178+12*p^105*q^1140+53552*p^103*q^1142+ 167348*p^101*q^1144+8963872*p^99*q^1146+112654082*p^97*q^1148+1747621798*p^95*q ^1150+22562672004*p^93*q^1152+239051627531*p^91*q^1154+1569444802640*p^89*q^ 1156+3485055626920*p^87*q^1158+1811720938084*p^85*q^1160+314753394833*p^83*q^ 1162+32957368310*p^81*q^1164+2759882745*p^79*q^1166+189199576*p^77*q^1168+ 10255766*p^75*q^1170+613868*p^73*q^1172+10370*p^71*q^1174+12*p^69*q^1176+1924*p ^104*q^1140+94676*p^102*q^1142+1205484*p^100*q^1144+29638774*p^98*q^1146+ 437346800*p^96*q^1148+5990597900*p^94*q^1150+71387408381*p^92*q^1152+ 641315335186*p^90*q^1154+2730715175023*p^88*q^1156+3053537791660*p^86*q^1158+ 872758270989*p^84*q^1160+112248044670*p^82*q^1162+10398668317*p^80*q^1164+ 791796074*p^78*q^1166+51718778*p^76*q^1168+2542010*p^74*q^1170+75860*p^72*q^ 1172+812*p^70*q^1174+752*p^68*q^1176+26108*p^103*q^1140+122524*p^101*q^1142+ 7378724*p^99*q^1144+97950829*p^97*q^1146+1527761512*p^95*q^1148+19853063408*p^ 93*q^1150+213706251964*p^91*q^1152+1461261323645*p^89*q^1154+3486684907696*p^87 *q^1156+1948353883823*p^85*q^1158+352026541430*p^83*q^1160+37365192735*p^81*q^ 1162+3148553674*p^79*q^1164+218191054*p^77*q^1166+11836588*p^75*q^1168+787076*p ^73*q^1170+12624*p^71*q^1172+136*p^69*q^1174+56*p^67*q^1176+560*p^104*q^1138+ 153678*p^102*q^1140+940842*p^100*q^1142+26879978*p^98*q^1144+374940910*p^96*q^ 1146+5251256733*p^94*q^1148+63246392382*p^92*q^1150+581875440545*p^90*q^1152+ 2623000166726*p^88*q^1154+3170638019633*p^86*q^1156+959923564322*p^84*q^1158+ 126690861532*p^82*q^1160+11853748324*p^80*q^1162+911460802*p^78*q^1164+58765428 *p^76*q^1166+2887354*p^74*q^1168+123240*p^72*q^1170+1664*p^70*q^1172+15460*p^ 103*q^1138+151156*p^101*q^1140+5707084*p^99*q^1142+86810538*p^97*q^1144+ 1342404772*p^95*q^1146+17474813520*p^93*q^1148+190760721604*p^91*q^1150+ 1354703088376*p^89*q^1152+3473617490186*p^87*q^1154+2089304999074*p^85*q^1156+ 393589804818*p^83*q^1158+42407850706*p^81*q^1160+3598491999*p^79*q^1162+ 252123374*p^77*q^1164+14745085*p^75*q^1166+854192*p^73*q^1168+11766*p^71*q^1170 +32*p^69*q^1172+212*p^67*q^1174+48*p^104*q^1136+134664*p^102*q^1138+676446*p^ 100*q^1140+24148844*p^98*q^1142+320961083*p^96*q^1144+4587624654*p^94*q^1146+ 55915898922*p^92*q^1148+526765860852*p^90*q^1150+2506125690776*p^88*q^1152+ 3280849703194*p^86*q^1154+1055320008315*p^84*q^1156+142893347564*p^82*q^1158+ 13500083700*p^80*q^1160+1048535504*p^78*q^1162+67403013*p^76*q^1164+3029748*p^ 74*q^1166+197968*p^72*q^1168+1820*p^70*q^1170+8*p^68*q^1172+4*p^105*q^1134+8276 *p^103*q^1136+262510*p^101*q^1138+4401134*p^99*q^1140+77036334*p^97*q^1142+ 1169799608*p^95*q^1144+15355803080*p^93*q^1146+170162180198*p^91*q^1148+ 1253563645220*p^89*q^1150+3443157115444*p^87*q^1152+2233896276666*p^85*q^1154+ 439206628632*p^83*q^1156+48038169482*p^81*q^1158+4107436192*p^79*q^1160+ 288282177*p^77*q^1162+17310922*p^75*q^1164+929310*p^73*q^1166+15528*p^71*q^1168 +200*p^69*q^1170+20*p^104*q^1134+91332*p^102*q^1136+533728*p^100*q^1138+ 20635348*p^98*q^1140+278059308*p^96*q^1142+4015919087*p^94*q^1144+49466907878*p ^92*q^1146+476078968714*p^90*q^1148+2390058229432*p^88*q^1150+3375142513715*p^ 86*q^1152+1156623530130*p^84*q^1154+160984299096*p^82*q^1156+15361639570*p^80*q ^1158+1201555124*p^78*q^1160+78024026*p^76*q^1162+3665629*p^74*q^1164+264604*p^ 72*q^1166+2272*p^70*q^1168+32*p^66*q^1172+2012*p^103*q^1134+373696*p^101*q^1136 +3454553*p^99*q^1138+70135280*p^97*q^1140+1017187694*p^95*q^1142+13513711600*p^ 93*q^1144+151541812802*p^91*q^1146+1156026329018*p^89*q^1148+3401687275147*p^87 *q^1150+2378135569788*p^85*q^1152+489768947382*p^83*q^1154+54500505374*p^81*q^ 1156+4705981501*p^79*q^1158+335162040*p^77*q^1160+20138978*p^75*q^1162+941782*p ^73*q^1164+32464*p^71*q^1166+156*p^69*q^1168+2*p^108*q^1128+124*p^104*q^1132+ 62784*p^102*q^1134+482032*p^100*q^1136+17016638*p^98*q^1138+239524518*p^96*q^ 1140+3513207374*p^94*q^1142+43627365464*p^92*q^1144+428927978850*p^90*q^1146+ 2267257359425*p^88*q^1148+3465528130764*p^86*q^1150+1264778498878*p^84*q^1152+ 181461460562*p^82*q^1154+17464561366*p^80*q^1156+1375788716*p^78*q^1158+ 88878577*p^76*q^1160+4604840*p^74*q^1162+300726*p^72*q^1164+1032*p^70*q^1166+12 *p^68*q^1168+1024*p^103*q^1132+346272*p^101*q^1134+2666242*p^99*q^1136+62633221 *p^97*q^1138+882162568*p^95*q^1140+11847557332*p^93*q^1142+134895403892*p^91*q^ 1144+1063132451537*p^89*q^1146+3345006316466*p^87*q^1148+2526254878001*p^85*q^ 1150+544755484072*p^83*q^1152+61675949808*p^81*q^1154+5365203298*p^79*q^1156+ 384138504*p^77*q^1158+23303474*p^75*q^1160+888914*p^73*q^1162+62092*p^71*q^1164 +356*p^69*q^1166+2*p^65*q^1170+12*p^104*q^1130+26596*p^102*q^1132+700128*p^100* q^1134+14117859*p^98*q^1136+210533180*p^96*q^1138+3084629626*p^94*q^1140+ 38552432344*p^92*q^1142+386472663265*p^90*q^1144+2144295102538*p^88*q^1146+ 3537405647251*p^86*q^1148+1379702363146*p^84*q^1150+204082994503*p^82*q^1152+ 19883119388*p^80*q^1154+1579488477*p^78*q^1156+103738816*p^76*q^1158+5500817*p^ 74*q^1160+361408*p^72*q^1162+2900*p^70*q^1164+8*p^68*q^1166+32*p^107*q^1126+ 1148*p^103*q^1130+295952*p^101*q^1132+1975810*p^99*q^1134+54736392*p^97*q^1136+ 764492085*p^95*q^1138+10387757306*p^93*q^1140+119818108997*p^91*q^1142+ 975263519090*p^89*q^1144+3274383930872*p^87*q^1146+2671867230492*p^85*q^1148+ 605901089072*p^83*q^1150+69919813068*p^81*q^1152+6124181887*p^79*q^1154+ 443712344*p^77*q^1156+26794308*p^75*q^1158+1080410*p^73*q^1160+75226*p^71*q^ 1162+24*p^69*q^1164+4*p^104*q^1128+15228*p^102*q^1130+851890*p^100*q^1132+ 11447178*p^98*q^1134+186163094*p^96*q^1136+2687421646*p^94*q^1138+34014597661*p ^92*q^1140+347040383368*p^90*q^1142+2020688492154*p^88*q^1144+3598366742710*p^ 86*q^1146+1501483683786*p^84*q^1148+229455866960*p^82*q^1150+22590003313*p^80*q ^1152+1813449980*p^78*q^1154+118614212*p^76*q^1156+6552656*p^74*q^1158+314775*p ^72*q^1160+9876*p^70*q^1162+24*p^68*q^1164+508*p^103*q^1128+184450*p^101*q^1130 +1698960*p^99*q^1132+47730009*p^97*q^1134+660254586*p^95*q^1136+9121143086*p^93 *q^1138+106326546328*p^91*q^1140+892203335130*p^89*q^1142+3194414202310*p^87*q^ 1144+2816221357046*p^85*q^1146+672169026026*p^83*q^1148+79106276416*p^81*q^1150 +6987740080*p^79*q^1152+507804960*p^77*q^1154+31354362*p^75*q^1156+1300290*p^73 *q^1158+114048*p^71*q^1160+92*p^69*q^1162+212*p^106*q^1124+4*p^104*q^1126+8264* p^102*q^1128+903716*p^100*q^1130+9165976*p^98*q^1132+163833966*p^96*q^1134+ 2353827396*p^94*q^1136+29971609832*p^92*q^1138+311585280655*p^90*q^1140+ 1898093405336*p^88*q^1142+3643774335379*p^86*q^1144+1628413898710*p^84*q^1146+ 257621146555*p^82*q^1148+25668024266*p^80*q^1150+2077231097*p^78*q^1152+ 137186440*p^76*q^1154+7539984*p^74*q^1156+276926*p^72*q^1158+13628*p^70*q^1160+ 106*p^103*q^1126+118824*p^101*q^1128+1889102*p^99*q^1130+40657472*p^97*q^1132+ 577717442*p^95*q^1134+7998030690*p^93*q^1136+94392957251*p^91*q^1138+ 813862422736*p^89*q^1140+3101878864018*p^87*q^1142+2957912135408*p^85*q^1144+ 744455836119*p^83*q^1146+89551458884*p^81*q^1148+7986176370*p^79*q^1150+ 588356876*p^77*q^1152+36319250*p^75*q^1154+1677800*p^73*q^1156+136210*p^71*q^ 1158+912*p^69*q^1160+58*p^106*q^1122+6148*p^102*q^1126+766824*p^100*q^1128+ 6912894*p^98*q^1130+144866765*p^96*q^1132+2042293746*p^94*q^1134+26374346418*p^ 92*q^1136+278879832812*p^90*q^1138+1775029196522*p^88*q^1140+3676544222306*p^86 *q^1142+1763053620475*p^84*q^1144+289222154114*p^82*q^1146+29179631926*p^80*q^ 1148+2369387872*p^78*q^1150+157629181*p^76*q^1152+8944418*p^74*q^1154+272440*p^ 72*q^1156+21924*p^70*q^1158+752*p^105*q^1122+120*p^103*q^1124+66450*p^101*q^ 1126+2051760*p^99*q^1128+34765492*p^97*q^1130+500861562*p^95*q^1132+7010739843* p^93*q^1134+83628101226*p^91*q^1136+741451610824*p^89*q^1138+2998339914854*p^87 *q^1140+3095399402771*p^85*q^1142+823218475138*p^83*q^1144+101153474704*p^81*q^ 1146+9074085456*p^79*q^1148+679623564*p^77*q^1150+41572420*p^75*q^1152+1919122* p^73*q^1154+114856*p^71*q^1156+1928*p^69*q^1158+4*p^104*q^1122+2386*p^102*q^ 1124+587860*p^100*q^1126+6021610*p^98*q^1128+127039006*p^96*q^1130+1785637122*p ^94*q^1132+23231386738*p^92*q^1134+249658451903*p^90*q^1136+1656957421440*p^88* q^1138+3688190424684*p^86*q^1140+1901905894334*p^84*q^1142+324064555345*p^82*q^ 1144+33147224090*p^80*q^1146+2721915678*p^78*q^1148+180290912*p^76*q^1150+ 10786282*p^74*q^1152+364402*p^72*q^1154+43056*p^70*q^1156+36*p^68*q^1158+746*p^ 105*q^1120+30*p^103*q^1122+42944*p^101*q^1124+2148390*p^99*q^1126+28196002*p^97 *q^1128+440699787*p^95*q^1130+6140765428*p^93*q^1132+74029117210*p^91*q^1134+ 673312258998*p^89*q^1136+2890187523595*p^87*q^1138+3222455891010*p^85*q^1140+ 908656366934*p^83*q^1142+114413353392*p^81*q^1144+10372133741*p^79*q^1146+ 779783286*p^77*q^1148+48436089*p^75*q^1150+2278624*p^73*q^1152+77926*p^71*q^ 1154+2048*p^69*q^1156+1540*p^104*q^1120+1900*p^102*q^1122+413406*p^100*q^1124+ 5343940*p^98*q^1126+111521738*p^96*q^1128+1549770596*p^94*q^1130+20425559415*p^ 92*q^1132+222761458390*p^90*q^1134+1540219420080*p^88*q^1136+3690727841860*p^86 *q^1138+2045551133712*p^84*q^1140+362930050556*p^82*q^1142+37640001472*p^80*q^ 1144+3107447736*p^78*q^1146+210488442*p^76*q^1148+12430410*p^74*q^1150+452708*p ^72*q^1152+48068*p^70*q^1154+188*p^68*q^1156+48*p^105*q^1118+128*p^103*q^1120+ 27832*p^101*q^1122+1962810*p^99*q^1124+23054386*p^97*q^1126+383843450*p^95*q^ 1128+5368164543*p^93*q^1130+65467763592*p^91*q^1132+610051883513*p^89*q^1134+ 2772458225818*p^87*q^1136+3349278855201*p^85*q^1138+999734594354*p^83*q^1140+ 129148038800*p^81*q^1142+11800837636*p^79*q^1144+893828417*p^77*q^1146+53875886 *p^75*q^1148+2850564*p^73*q^1150+64326*p^71*q^1152+8152*p^69*q^1154+3876*p^104* q^1118+640*p^102*q^1120+252172*p^100*q^1122+5336798*p^98*q^1124+96998522*p^96*q ^1126+1355966736*p^94*q^1128+17985935814*p^92*q^1130+198993242314*p^90*q^1132+ 1427521388904*p^88*q^1134+3672904792892*p^86*q^1136+2193514197624*p^84*q^1138+ 405699353948*p^82*q^1140+42706313736*p^80*q^1142+3552692359*p^78*q^1144+ 246161576*p^76*q^1146+14851688*p^74*q^1148+504718*p^72*q^1150+41148*p^70*q^1152 +60*p^68*q^1154+48*p^105*q^1116+1846*p^103*q^1118+18740*p^101*q^1120+1708470*p^ 99*q^1122+19181900*p^97*q^1124+337086865*p^95*q^1126+4699381426*p^93*q^1128+ 57869406921*p^91*q^1130+551944715480*p^89*q^1132+2647995811617*p^87*q^1134+ 3459917226114*p^85*q^1136+1099720737775*p^83*q^1138+145758201524*p^81*q^1140+ 13467402301*p^79*q^1142+1031622814*p^77*q^1144+61563358*p^75*q^1146+3457020*p^ 73*q^1148+97146*p^71*q^1150+12900*p^69*q^1152+8*p^67*q^1154+1132*p^104*q^1116+ 1322*p^102*q^1118+186854*p^100*q^1120+5160348*p^98*q^1122+81691583*p^96*q^1124+ 1179481244*p^94*q^1126+15766218166*p^92*q^1128+177127709400*p^90*q^1130+ 1319409883875*p^88*q^1132+3640824276954*p^86*q^1134+2345567098144*p^84*q^1136+ 453235844160*p^82*q^1138+48459508470*p^80*q^1140+4062047720*p^78*q^1142+ 282416313*p^76*q^1144+16894258*p^74*q^1146+635062*p^72*q^1148+16996*p^70*q^1150 +780*p^68*q^1152+10502*p^103*q^1116+9178*p^101*q^1118+1227720*p^99*q^1120+ 16404212*p^97*q^1122+297401814*p^95*q^1124+4098917765*p^93*q^1126+51148611336*p ^91*q^1128+498194011061*p^89*q^1130+2522506477866*p^87*q^1132+3561882685428*p^ 85*q^1134+1205167915308*p^83*q^1136+164315205973*p^81*q^1138+15311676134*p^79*q ^1140+1175703742*p^77*q^1142+72493480*p^75*q^1144+4220734*p^73*q^1146+99262*p^ 71*q^1148+17720*p^69*q^1150+676*p^104*q^1114+1832*p^102*q^1116+133382*p^100*q^ 1118+5047980*p^98*q^1120+69378062*p^96*q^1122+1027654566*p^94*q^1124+ 13865577622*p^92*q^1126+157642339750*p^90*q^1128+1216269341538*p^88*q^1130+ 3593215788169*p^86*q^1132+2497455560906*p^84*q^1134+505391886429*p^82*q^1136+ 55001129786*p^80*q^1138+4646426835*p^78*q^1140+329126408*p^76*q^1142+18322092*p ^74*q^1144+828672*p^72*q^1146+16616*p^70*q^1148+2088*p^68*q^1150+8290*p^103*q^ 1114+8542*p^101*q^1116+912902*p^99*q^1118+14735984*p^97*q^1120+260115041*p^95*q ^1122+3594765528*p^93*q^1124+45113544515*p^91*q^1126+448970202456*p^89*q^1128+ 2392404816990*p^87*q^1130+3652464193502*p^85*q^1132+1317626431419*p^83*q^1134+ 185286157162*p^81*q^1136+17423507881*p^79*q^1138+1351449564*p^77*q^1140+ 84205155*p^75*q^1142+5322150*p^73*q^1144+121320*p^71*q^1146+11200*p^69*q^1148+ 24*p^67*q^1150+112*p^104*q^1112+16288*p^102*q^1114+84596*p^100*q^1116+4419998*p ^98*q^1118+57912920*p^96*q^1120+899567542*p^94*q^1122+12140064442*p^92*q^1124+ 140118906740*p^90*q^1126+1116529402723*p^88*q^1128+3533072874200*p^86*q^1130+ 2651819829086*p^84*q^1132+562991050652*p^82*q^1134+62351139648*p^80*q^1136+ 5322857474*p^78*q^1138+378666440*p^76*q^1140+20596368*p^74*q^1142+1018398*p^72* q^1144+18960*p^70*q^1146+4056*p^68*q^1148+4708*p^103*q^1112+7918*p^101*q^1114+ 701196*p^99*q^1116+13475612*p^97*q^1118+225013276*p^95*q^1120+3127910922*p^93*q ^1122+39783370230*p^91*q^1124+403657516568*p^89*q^1126+2260479255178*p^87*q^ 1128+3731976301496*p^85*q^1130+1438336449426*p^83*q^1132+208346436376*p^81*q^ 1134+19824490740*p^79*q^1136+1541544831*p^77*q^1138+98829880*p^75*q^1140+ 5900570*p^73*q^1142+163384*p^71*q^1144+2888*p^69*q^1146+200*p^67*q^1148+28526*p ^102*q^1112+53824*p^100*q^1114+3573196*p^98*q^1116+49808166*p^96*q^1118+ 788374066*p^94*q^1120+10670593130*p^92*q^1122+124526875013*p^90*q^1124+ 1024144923620*p^88*q^1126+3454500076781*p^86*q^1128+2805242905290*p^84*q^1130+ 625576451559*p^82*q^1132+70663369712*p^80*q^1134+6061360971*p^78*q^1136+ 436177512*p^76*q^1138+23591266*p^74*q^1140+1410540*p^72*q^1142+19196*p^70*q^ 1144+5760*p^68*q^1146+2232*p^103*q^1110+18160*p^101*q^1112+521830*p^99*q^1114+ 12908008*p^97*q^1116+194198880*p^95*q^1118+2735845882*p^93*q^1120+35078701816*p ^91*q^1122+362469090464*p^89*q^1124+2128640807937*p^87*q^1126+3789978067554*p^ 85*q^1128+1565777286466*p^83*q^1130+234631083394*p^81*q^1132+22587381724*p^79*q ^1134+1783565988*p^77*q^1136+116269139*p^75*q^1138+6422888*p^73*q^1140+207099*p ^71*q^1142+3288*p^69*q^1144+408*p^67*q^1146+44*p^104*q^1108+21292*p^102*q^1110+ 52870*p^100*q^1112+2860772*p^98*q^1114+41995296*p^96*q^1116+688670626*p^94*q^ 1118+9339526073*p^92*q^1120+110296912982*p^90*q^1122+935902692105*p^88*q^1124+ 3369500664892*p^86*q^1126+2955628924107*p^84*q^1128+694777542436*p^82*q^1130+ 79990412185*p^80*q^1132+6913413246*p^78*q^1134+496362052*p^76*q^1136+27384626*p ^74*q^1138+1811728*p^72*q^1140+26834*p^70*q^1142+1536*p^68*q^1144+8*p^66*q^1146 +168*p^103*q^1108+54528*p^101*q^1110+340078*p^99*q^1112+11400022*p^97*q^1114+ 166964644*p^95*q^1116+2388016786*p^93*q^1118+30856751168*p^91*q^1120+ 324989353147*p^89*q^1122+1997536262286*p^87*q^1124+3840736189143*p^85*q^1126+ 1698070837730*p^83*q^1128+263610159781*p^81*q^1130+25663976542*p^79*q^1132+ 2041129768*p^77*q^1134+135444382*p^75*q^1136+6852928*p^73*q^1138+278690*p^71*q^ 1140+2464*p^69*q^1142+1576*p^67*q^1144+16768*p^102*q^1108+41748*p^100*q^1110+ 2348804*p^98*q^1112+37831896*p^96*q^1114+603283524*p^94*q^1116+8179454410*p^92* q^1118+97923885020*p^90*q^1120+853086945416*p^88*q^1122+3269448083519*p^86*q^ 1124+3104700227312*p^84*q^1126+769372875437*p^82*q^1128+90532861432*p^80*q^1130 +7891953167*p^78*q^1132+572804852*p^76*q^1134+32903742*p^74*q^1136+2109064*p^72 *q^1138+35140*p^70*q^1140+392*p^68*q^1142+12*p^66*q^1144+708*p^103*q^1106+62200 *p^101*q^1108+287254*p^99*q^1110+9779206*p^97*q^1112+142325224*p^95*q^1114+ 2088333108*p^93*q^1116+27188143547*p^91*q^1118+290827645284*p^89*q^1120+ 1867495043202*p^87*q^1122+3869024963346*p^85*q^1124+1838688235749*p^83*q^1126+ 296026366752*p^81*q^1128+29236252887*p^79*q^1130+2336958044*p^77*q^1132+ 156713552*p^75*q^1134+7361996*p^73*q^1136+441746*p^71*q^1138+3482*p^69*q^1140+ 920*p^67*q^1142+4224*p^102*q^1106+79966*p^100*q^1108+1748624*p^98*q^1110+ 34055520*p^96*q^1112+524642942*p^94*q^1114+7160755129*p^92*q^1116+86559662786*p ^90*q^1118+776340296813*p^88*q^1120+3158845112468*p^86*q^1122+3247449895690*p^ 84*q^1124+851480006324*p^82*q^1126+102443898872*p^80*q^1128+8991236874*p^78*q^ 1130+662014672*p^76*q^1132+38785848*p^74*q^1134+2318866*p^72*q^1136+44360*p^70* q^1138+284*p^68*q^1140+200*p^66*q^1142+84*p^103*q^1104+67566*p^101*q^1106+ 215158*p^99*q^1108+8316422*p^97*q^1110+121281806*p^95*q^1112+1824653858*p^93*q^ 1114+23892473780*p^91*q^1116+259899609486*p^89*q^1118+1741410132556*p^87*q^1120 +3885090902641*p^85*q^1122+1983728832258*p^83*q^1124+331822090406*p^81*q^1126+ 33186839034*p^79*q^1128+2675197409*p^77*q^1130+178095122*p^75*q^1132+8645250*p^ 73*q^1134+572616*p^71*q^1136+4768*p^69*q^1138+24*p^67*q^1140+5072*p^102*q^1104+ 119678*p^100*q^1106+1362304*p^98*q^1108+30102906*p^96*q^1110+457051464*p^94*q^ 1112+6270762822*p^92*q^1114+76640168444*p^90*q^1116+704622357512*p^88*q^1118+ 3042267635262*p^86*q^1120+3381929652332*p^84*q^1122+939538901315*p^82*q^1124+ 115844409960*p^80*q^1126+10267404426*p^78*q^1128+759260154*p^76*q^1130+47003128 *p^74*q^1132+2281558*p^72*q^1134+75560*p^70*q^1136+272*p^68*q^1138+316*p^66*q^ 1140+35792*p^101*q^1104+207006*p^99*q^1106+6997940*p^97*q^1108+106858469*p^95*q ^1110+1596650756*p^93*q^1112+21004164359*p^91*q^1114+232040282200*p^89*q^1116+ 1617445064771*p^87*q^1118+3881318323798*p^85*q^1120+2133887521150*p^83*q^1122+ 371816667048*p^81*q^1124+37738376669*p^79*q^1126+3061001060*p^77*q^1128+ 207928636*p^75*q^1130+9976078*p^73*q^1132+766550*p^71*q^1134+6680*p^69*q^1136+ 20*p^67*q^1138+8*p^65*q^1140+2076*p^102*q^1102+166806*p^100*q^1104+1078514*p^98 *q^1106+26261130*p^96*q^1108+392654792*p^94*q^1110+5481373457*p^92*q^1112+ 67718446420*p^90*q^1114+637681269509*p^88*q^1116+2917095535508*p^86*q^1118+ 3511761082880*p^84*q^1120+1034917345588*p^82*q^1122+130965894687*p^80*q^1124+ 11705292546*p^78*q^1126+876154448*p^76*q^1128+53597292*p^74*q^1130+2416086*p^72 *q^1132+111478*p^70*q^1134+508*p^68*q^1136+24838*p^101*q^1102+224092*p^99*q^ 1104+5575432*p^97*q^1106+93088974*p^95*q^1108+1393739965*p^93*q^1110+ 18435199564*p^91*q^1112+206755072348*p^89*q^1114+1497982569064*p^87*q^1116+ 3864705295770*p^85*q^1118+2288448644622*p^83*q^1120+415853467710*p^81*q^1122+ 42776265120*p^79*q^1124+3495139954*p^77*q^1126+238007458*p^75*q^1128+12468766*p ^73*q^1130+804010*p^71*q^1132+8716*p^69*q^1134+8*p^67*q^1136+56*p^65*q^1138+272 *p^102*q^1100+152576*p^100*q^1102+880136*p^98*q^1104+23067288*p^96*q^1106+ 340084988*p^94*q^1108+4806239318*p^92*q^1110+59853879401*p^90*q^1112+ 576858877980*p^88*q^1114+2784548222864*p^86*q^1116+3629661961250*p^84*q^1118+ 1137731592770*p^82*q^1120+147765764096*p^80*q^1122+13359061000*p^78*q^1124+ 1006291166*p^76*q^1126+62977011*p^74*q^1128+2499136*p^72*q^1130+188472*p^70*q^ 1132+740*p^68*q^1134+40*p^103*q^1098+19504*p^101*q^1100+296264*p^99*q^1102+ 4596380*p^97*q^1104+81789634*p^95*q^1106+1219555820*p^93*q^1108+16182521978*p^ 91*q^1110+184093137090*p^89*q^1112+1383538672479*p^87*q^1114+3824750316190*p^85 *q^1116+2446658836016*p^83*q^1118+464761088522*p^81*q^1120+48684333934*p^79*q^ 1122+3997489578*p^77*q^1124+275896829*p^75*q^1126+15187784*p^73*q^1128+830322*p ^71*q^1130+15418*p^69*q^1132+32*p^67*q^1134+196*p^102*q^1098+100990*p^100*q^ 1100+764414*p^98*q^1102+19580370*p^96*q^1104+295337812*p^94*q^1106+4190329653*p ^92*q^1108+52768776978*p^90*q^1110+520084090441*p^88*q^1112+2650758913172*p^86* q^1114+3733687207880*p^84*q^1116+1248162516118*p^82*q^1118+166871146497*p^80*q^ 1120+15196386094*p^78*q^1122+1154727158*p^76*q^1124+72712116*p^74*q^1126+ 2846756*p^72*q^1128+247128*p^70*q^1130+928*p^68*q^1132+4*p^64*q^1136+5064*p^101 *q^1098+395228*p^99*q^1100+3662139*p^97*q^1102+71339402*p^95*q^1104+1057271476* p^93*q^1106+14205591408*p^91*q^1108+163603808831*p^89*q^1110+1274189433214*p^87 *q^1112+3778020135206*p^85*q^1114+2604589788266*p^83*q^1116+518327781169*p^81*q ^1118+55170882964*p^79*q^1120+4571440130*p^77*q^1122+316948956*p^75*q^1124+ 17657231*p^73*q^1126+800980*p^71*q^1128+28972*p^69*q^1130+32*p^67*q^1132+528*p^ 102*q^1096+98828*p^100*q^1098+649922*p^98*q^1100+16671038*p^96*q^1102+257712192 *p^94*q^1104+3678446472*p^92*q^1106+46553794874*p^90*q^1108+468307703328*p^88*q ^1110+2512556387999*p^86*q^1112+3830198611672*p^84*q^1114+1364316772641*p^82*q^ 1116+188136250548*p^80*q^1118+17313848359*p^78*q^1120+1325716660*p^76*q^1122+ 84477203*p^74*q^1124+3819430*p^72*q^1126+275944*p^70*q^1128+1484*p^68*q^1130+ 3450*p^101*q^1096+325400*p^99*q^1098+3207378*p^97*q^1100+62366484*p^95*q^1102+ 921262298*p^93*q^1104+12455977041*p^91*q^1106+145457440824*p^89*q^1108+ 1168883789836*p^87*q^1110+3708706811066*p^85*q^1112+2766667803398*p^83*q^1114+ 577523753708*p^81*q^1116+62639189753*p^79*q^1118+5234784540*p^77*q^1120+ 367441769*p^75*q^1122+21122546*p^73*q^1124+669766*p^71*q^1126+56904*p^69*q^1128 +120*p^67*q^1130+80*p^102*q^1094+46208*p^100*q^1096+816264*p^98*q^1098+13718143 *p^96*q^1100+223586002*p^94*q^1102+3209728973*p^92*q^1104+40992231690*p^90*q^ 1106+420688484577*p^88*q^1108+2371986263410*p^86*q^1110+3908877220029*p^84*q^ 1112+1490401456744*p^82*q^1114+211809497252*p^80*q^1116+19735570062*p^78*q^1118 +1517780288*p^76*q^1120+97016524*p^74*q^1122+4445636*p^72*q^1124+321880*p^70*q^ 1126+2396*p^68*q^1128+3268*p^101*q^1094+329382*p^99*q^1096+2464868*p^97*q^1098+ 54317192*p^95*q^1100+801600307*p^93*q^1102+10914416996*p^91*q^1104+129003631539 *p^89*q^1106+1071588125678*p^87*q^1108+3627373248828*p^85*q^1110+2926169803886* p^83*q^1112+642286582411*p^81*q^1114+71011569944*p^79*q^1116+5952425907*p^77*q^ 1118+422577354*p^75*q^1120+24813822*p^73*q^1122+831630*p^71*q^1124+65928*p^69*q ^1126+80*p^67*q^1128+28*p^102*q^1092+29308*p^100*q^1094+829040*p^98*q^1096+ 11899880*p^96*q^1098+194702204*p^94*q^1100+2804253086*p^92*q^1102+36120657802*p ^90*q^1104+377594592262*p^88*q^1106+2232584835430*p^86*q^1108+3972434560496*p^ 84*q^1110+1621346101603*p^82*q^1112+238454194194*p^80*q^1114+22447125052*p^78*q ^1116+1749240504*p^76*q^1118+112412554*p^74*q^1120+5526458*p^72*q^1122+243716*p ^70*q^1124+8996*p^68*q^1126+8*p^66*q^1128+1960*p^101*q^1092+242606*p^99*q^1094+ 2200282*p^97*q^1096+46267269*p^95*q^1098+699697990*p^93*q^1100+9574118975*p^91* q^1102+114354304886*p^89*q^1104+978504685507*p^87*q^1106+3534085634796*p^85*q^ 1108+3082323058460*p^83*q^1110+713611657062*p^81*q^1112+80524082334*p^79*q^1114 +6815149980*p^77*q^1116+486237590*p^75*q^1118+29194618*p^73*q^1120+995266*p^71* q^1122+104464*p^69*q^1124+84*p^67*q^1126+8*p^102*q^1090+18146*p^100*q^1092+ 846410*p^98*q^1094+9902944*p^96*q^1096+170753580*p^94*q^1098+2445800804*p^92*q^ 1100+31739876266*p^90*q^1102+338089028426*p^88*q^1104+2093109085116*p^86*q^1106 +4020227133706*p^84*q^1108+1760165608428*p^82*q^1110+268160086713*p^80*q^1112+ 25569674504*p^78*q^1114+1999638333*p^76*q^1116+129972236*p^74*q^1118+6648860*p^ 72*q^1120+203520*p^70*q^1122+10880*p^68*q^1124+692*p^101*q^1090+157836*p^99*q^ 1092+2136900*p^97*q^1094+39730076*p^95*q^1096+606013140*p^93*q^1098+8376442044* p^91*q^1100+101260525325*p^89*q^1102+891273314790*p^87*q^1104+3430457496479*p^ 85*q^1106+3237848267366*p^83*q^1108+790381389733*p^81*q^1110+91149742974*p^79*q ^1112+7770027484*p^77*q^1114+561195908*p^75*q^1116+33330630*p^73*q^1118+1246214 *p^71*q^1120+105376*p^69*q^1122+814*p^67*q^1124+16*p^102*q^1088+16280*p^100*q^ 1090+820704*p^98*q^1092+8063480*p^96*q^1094+147743619*p^94*q^1096+2140679428*p^ 92*q^1098+27957138379*p^90*q^1100+302458220242*p^88*q^1102+1956260619745*p^86*q ^1104+4052494725018*p^84*q^1106+1904539134840*p^82*q^1108+301028370408*p^80*q^ 1110+29092721695*p^78*q^1112+2283996046*p^76*q^1114+149371798*p^74*q^1116+ 8182662*p^72*q^1118+208120*p^70*q^1120+20896*p^68*q^1122+324*p^101*q^1088+ 107806*p^99*q^1090+2061136*p^97*q^1092+34818236*p^95*q^1094+530906332*p^93*q^ 1096+7342108214*p^91*q^1098+89587988502*p^89*q^1100+810364867559*p^87*q^1102+ 3309672563466*p^85*q^1104+3387435279704*p^83*q^1106+875054559276*p^81*q^1108+ 103291007309*p^79*q^1110+8885713224*p^77*q^1112+652804349*p^75*q^1114+39396536* p^73*q^1116+1572556*p^71*q^1118+81880*p^69*q^1120+1490*p^67*q^1122+48*p^102*q^ 1086+8540*p^100*q^1088+617824*p^98*q^1090+6972970*p^96*q^1092+126497276*p^94*q^ 1094+1860765638*p^92*q^1096+24534527954*p^90*q^1098+270043914475*p^88*q^1100+ 1821971258706*p^86*q^1102+4064089736473*p^84*q^1104+2056515916662*p^82*q^1106+ 337866430982*p^80*q^1108+33083410506*p^78*q^1110+2612047370*p^76*q^1112+ 171293242*p^74*q^1114+9482734*p^72*q^1116+233622*p^70*q^1118+33332*p^68*q^1120+ 32*p^66*q^1122+240*p^101*q^1086+80494*p^99*q^1088+2153620*p^97*q^1090+29090012* p^95*q^1092+463503961*p^93*q^1094+6419727066*p^91*q^1096+79175027824*p^89*q^ 1098+735110554264*p^87*q^1100+3187831857393*p^85*q^1102+3525814225074*p^83*q^ 1104+966191042725*p^81*q^1106+116718845658*p^79*q^1108+10126148780*p^77*q^1110+ 747379658*p^75*q^1112+45006706*p^73*q^1114+1984206*p^71*q^1116+59264*p^69*q^ 1118+2098*p^67*q^1120+4788*p^100*q^1086+500948*p^98*q^1088+6062128*p^96*q^1090+ 111616082*p^94*q^1092+1623952516*p^92*q^1094+21578695113*p^90*q^1096+ 240955762148*p^88*q^1098+1692188802538*p^86*q^1100+4062314904092*p^84*q^1102+ 2210887864440*p^82*q^1104+378564520736*p^80*q^1106+37635847686*p^78*q^1108+ 2992979568*p^76*q^1110+200772065*p^74*q^1112+11429042*p^72*q^1114+327498*p^70*q ^1116+32146*p^68*q^1118+160*p^66*q^1120+692*p^101*q^1084+62218*p^99*q^1086+ 1913680*p^97*q^1088+24814141*p^95*q^1090+399814952*p^93*q^1092+5621344113*p^91* q^1094+69939216984*p^89*q^1096+664742385372*p^87*q^1098+3053577209080*p^85*q^ 1100+3661256611155*p^83*q^1102+1064270138408*p^81*q^1104+132113068989*p^79*q^ 1106+11562185652*p^77*q^1108+858656315*p^75*q^1110+51174756*p^73*q^1112+2460412 *p^71*q^1114+38292*p^69*q^1116+6672*p^67*q^1118+2528*p^100*q^1084+336980*p^98*q ^1086+5751350*p^96*q^1088+96033648*p^94*q^1090+1422702046*p^92*q^1092+ 18921501792*p^90*q^1094+214537832067*p^88*q^1096+1565560558566*p^86*q^1098+ 4039610078675*p^84*q^1100+2372809616136*p^82*q^1102+423770886410*p^80*q^1104+ 42773180288*p^78*q^1106+3419618787*p^76*q^1108+234719216*p^74*q^1110+13470950*p ^72*q^1112+397622*p^70*q^1114+28664*p^68*q^1116+68*p^66*q^1118+112*p^101*q^1082 +39820*p^99*q^1084+1706748*p^97*q^1086+20808446*p^95*q^1088+347347856*p^93*q^ 1090+4903458040*p^91*q^1092+61680784703*p^89*q^1094+600813311778*p^87*q^1096+ 2914284772671*p^85*q^1098+3782906356262*p^83*q^1100+1170336966404*p^81*q^1102+ 149126563184*p^79*q^1104+13183001263*p^77*q^1106+983254896*p^75*q^1108+58060194 *p^73*q^1110+2975176*p^71*q^1112+58424*p^69*q^1114+7944*p^67*q^1116+8*p^65*q^ 1118+4*p^102*q^1080+4796*p^100*q^1082+293128*p^98*q^1084+5381318*p^96*q^1086+ 83248127*p^94*q^1088+1241422290*p^92*q^1090+16626406670*p^90*q^1092+ 190944892146*p^88*q^1094+1445707207013*p^86*q^1096+4001388474510*p^84*q^1098+ 2535059492072*p^82*q^1100+473648416030*p^80*q^1102+48592381278*p^78*q^1104+ 3910451306*p^76*q^1106+272063518*p^74*q^1108+15640500*p^72*q^1110+549646*p^70*q ^1112+10088*p^68*q^1114+748*p^66*q^1116+4*p^101*q^1080+23160*p^99*q^1082+ 1307910*p^97*q^1084+18201453*p^95*q^1086+303060162*p^93*q^1088+4291515422*p^91* q^1090+54422127800*p^89*q^1092+541237337036*p^87*q^1094+2771723042342*p^85*q^ 1096+3891365034359*p^83*q^1098+1283994060140*p^81*q^1100+168449007970*p^79*q^ 1102+15054361830*p^77*q^1104+1128188163*p^75*q^1106+68687532*p^73*q^1108+ 3693516*p^71*q^1110+66068*p^69*q^1112+11790*p^67*q^1114+2600*p^100*q^1080+ 225080*p^98*q^1082+4947706*p^96*q^1084+70776316*p^94*q^1086+1077168574*p^92*q^ 1088+14564924912*p^90*q^1090+169540901913*p^88*q^1092+1329584186782*p^86*q^1094 +3946153496775*p^84*q^1096+2701606343894*p^82*q^1098+528790197900*p^80*q^1100+ 55217385454*p^78*q^1102+4475921646*p^76*q^1104+315087052*p^74*q^1106+17078831*p ^72*q^1108+684552*p^70*q^1110+7994*p^68*q^1112+1200*p^66*q^1114+68*p^101*q^1078 +23910*p^99*q^1080+1054148*p^97*q^1082+16139320*p^95*q^1084+263392236*p^93*q^ 1086+3752540724*p^91*q^1088+47936249000*p^89*q^1090+487004734382*p^87*q^1092+ 2626493857898*p^85*q^1094+3989910182422*p^83*q^1096+1404220897501*p^81*q^1098+ 189900549558*p^79*q^1100+17123604525*p^77*q^1102+1287298664*p^75*q^1104+ 80201399*p^73*q^1106+4602840*p^71*q^1108+97248*p^69*q^1110+5634*p^67*q^1112+32* p^65*q^1114+404*p^100*q^1078+151996*p^98*q^1080+4387910*p^96*q^1082+60845190*p^ 94*q^1084+938916330*p^92*q^1086+12776520110*p^90*q^1088+150612408132*p^88*q^ 1090+1220133967252*p^86*q^1092+3875530134590*p^84*q^1094+2866965307504*p^82*q^ 1096+589155644722*p^80*q^1098+62650748795*p^78*q^1100+5127395184*p^76*q^1102+ 364460430*p^74*q^1104+19322500*p^72*q^1106+853636*p^70*q^1108+10068*p^68*q^1110 +2744*p^66*q^1112+8*p^101*q^1076+23596*p^99*q^1078+923094*p^97*q^1080+14555782* p^95*q^1082+228905592*p^93*q^1084+3285950349*p^91*q^1086+42215809614*p^89*q^ 1088+437461300109*p^87*q^1090+2477269147820*p^85*q^1092+4072501684446*p^83*q^ 1094+1533698628790*p^81*q^1096+214098684527*p^79*q^1098+19554842948*p^77*q^1100 +1475239133*p^75*q^1102+95365644*p^73*q^1104+5349902*p^71*q^1106+141050*p^69*q^ 1108+946*p^67*q^1110+128*p^65*q^1112+660*p^100*q^1076+115368*p^98*q^1078+ 3470812*p^96*q^1080+52566874*p^94*q^1082+816981954*p^92*q^1084+11172261036*p^90 *q^1086+133444585784*p^88*q^1088+1116448032914*p^86*q^1090+3786486216714*p^84*q ^1092+3034081085186*p^82*q^1094+655839774249*p^80*q^1096+71136427154*p^78*q^ 1098+5846188939*p^76*q^1100+418046866*p^74*q^1102+22083880*p^72*q^1104+1113916* p^70*q^1106+11900*p^68*q^1108+2676*p^66*q^1110+4*p^101*q^1074+7840*p^99*q^1076+ 716182*p^97*q^1078+13314898*p^95*q^1080+196737436*p^93*q^1082+2859842986*p^91*q ^1084+37151170593*p^89*q^1086+392222311830*p^87*q^1088+2331729909217*p^85*q^ 1090+4135593265888*p^83*q^1092+1669556182337*p^81*q^1094+240987970716*p^79*q^ 1096+22241473163*p^77*q^1098+1692356170*p^75*q^1100+111566872*p^73*q^1102+ 5753724*p^71*q^1104+168936*p^69*q^1106+1444*p^67*q^1108+292*p^65*q^1110+256*p^ 100*q^1074+126562*p^98*q^1076+3045992*p^96*q^1078+45837600*p^94*q^1080+ 714396312*p^92*q^1082+9813166966*p^90*q^1084+118211815350*p^88*q^1086+ 1019720053577*p^86*q^1088+3689891752978*p^84*q^1090+3193969844479*p^82*q^1092+ 728299453882*p^80*q^1094+80626606523*p^78*q^1096+6695133252*p^76*q^1098+ 476656210*p^74*q^1100+26264938*p^72*q^1102+1555248*p^70*q^1104+24280*p^68*q^ 1106+280*p^66*q^1108+8*p^64*q^1110+32*p^101*q^1072+5768*p^99*q^1074+539560*p^97 *q^1076+11368862*p^95*q^1078+170943752*p^93*q^1080+2499571093*p^91*q^1082+ 32665309152*p^89*q^1084+350977751942*p^87*q^1086+2184295682160*p^85*q^1088+ 4187495946029*p^83*q^1090+1811896563832*p^81*q^1092+271332077668*p^79*q^1094+ 25380899108*p^77*q^1096+1943314132*p^75*q^1098+131839394*p^73*q^1100+6346022*p^ 71*q^1102+205696*p^69*q^1104+846*p^67*q^1106+768*p^65*q^1108+136*p^100*q^1072+ 72770*p^98*q^1074+2629344*p^96*q^1076+40587556*p^94*q^1078+618372938*p^92*q^ 1080+8577410214*p^90*q^1082+104579848648*p^88*q^1084+927485333054*p^86*q^1086+ 3577181633939*p^84*q^1088+3357073073990*p^82*q^1090+807315862211*p^80*q^1092+ 91345750584*p^78*q^1094+7641305371*p^76*q^1096+545375326*p^74*q^1098+31115876*p ^72*q^1100+1747636*p^70*q^1102+29380*p^68*q^1104+152*p^66*q^1106+8*p^64*q^1108+ 3336*p^99*q^1072+513406*p^97*q^1074+9537004*p^95*q^1076+147206758*p^93*q^1078+ 2183953872*p^91*q^1080+28706139424*p^89*q^1082+313813778106*p^87*q^1084+ 2039805963372*p^85*q^1086+4217575673534*p^83*q^1088+1962349792869*p^81*q^1090+ 304679567738*p^79*q^1092+28896583100*p^77*q^1094+2220671800*p^75*q^1096+ 152235809*p^73*q^1098+6865606*p^71*q^1100+346324*p^69*q^1102+2944*p^67*q^1104+ 112*p^65*q^1106+456*p^100*q^1070+46536*p^98*q^1072+2117724*p^96*q^1074+36340700 *p^94*q^1076+538131422*p^92*q^1078+7506080689*p^90*q^1080+92510113252*p^88*q^ 1082+843437009726*p^86*q^1084+3452523694964*p^84*q^1086+3509260392343*p^82*q^ 1088+893715247644*p^80*q^1090+103442597652*p^78*q^1092+8720233084*p^76*q^1094+ 629260510*p^74*q^1096+37701736*p^72*q^1098+2018702*p^70*q^1100+32788*p^68*q^ 1102+28*p^66*q^1104+120*p^64*q^1106+4*p^101*q^1068+2008*p^99*q^1070+413956*p^97 *q^1072+8419574*p^95*q^1074+128003920*p^93*q^1076+1905591566*p^91*q^1078+ 25242275146*p^89*q^1080+280055580720*p^87*q^1082+1899339424054*p^85*q^1084+ 4229597660884*p^83*q^1086+2117529514742*p^81*q^1088+342215816603*p^79*q^1090+ 32894234822*p^77*q^1092+2553985465*p^75*q^1094+173774490*p^73*q^1096+8031840*p^ 71*q^1098+457472*p^69*q^1100+4192*p^67*q^1102+8*p^65*q^1104+56*p^100*q^1068+ 29792*p^98*q^1070+1841632*p^96*q^1072+30991738*p^94*q^1074+467029358*p^92*q^ 1076+6562255894*p^90*q^1078+81625736249*p^88*q^1080+763955098450*p^86*q^1082+ 3321518737467*p^84*q^1084+3654849748278*p^82*q^1086+987734662542*p^80*q^1088+ 117147339812*p^78*q^1090+9975041919*p^76*q^1092+717928326*p^74*q^1094+45935871* p^72*q^1096+2050652*p^70*q^1098+52584*p^68*q^1100+192*p^66*q^1102+24*p^64*q^ 1104+3304*p^99*q^1068+285836*p^97*q^1070+7105714*p^95*q^1072+112833429*p^93*q^ 1074+1657112420*p^91*q^1076+22130344413*p^89*q^1078+249578187806*p^87*q^1080+ 1762705638427*p^85*q^1082+4225369185908*p^83*q^1084+2278166871432*p^81*q^1086+ 383373365616*p^79*q^1088+37398898277*p^77*q^1090+2912537342*p^75*q^1092+ 199637476*p^73*q^1094+9323676*p^71*q^1096+582358*p^69*q^1098+4956*p^67*q^1100+8 *p^63*q^1104+64*p^100*q^1066+18226*p^98*q^1068+1680330*p^96*q^1070+26651570*p^ 94*q^1072+404557914*p^92*q^1074+5753476076*p^90*q^1076+72126611478*p^88*q^1078+ 691224263227*p^86*q^1080+3182515564498*p^84*q^1082+3792136823083*p^82*q^1084+ 1087393428142*p^80*q^1086+132563950151*p^78*q^1088+11388493280*p^76*q^1090+ 827303012*p^74*q^1092+53618234*p^72*q^1094+2161129*p^70*q^1096+91638*p^68*q^ 1098+434*p^66*q^1100+1484*p^99*q^1066+204612*p^97*q^1068+6108614*p^95*q^1070+ 99584492*p^93*q^1072+1449312143*p^91*q^1074+19425542200*p^89*q^1076+ 222129314420*p^87*q^1078+1629766909980*p^85*q^1080+4202193893364*p^83*q^1082+ 2443390978080*p^81*q^1084+429619038229*p^79*q^1086+42552575274*p^77*q^1088+ 3345031418*p^75*q^1090+229968580*p^73*q^1092+12096480*p^71*q^1094+686846*p^69*q ^1096+6044*p^67*q^1098+4*p^65*q^1100+2*p^63*q^1102+16*p^100*q^1064+19984*p^98*q ^1066+1314010*p^96*q^1068+22821832*p^94*q^1070+350170084*p^92*q^1072+5017819866 *p^90*q^1074+63558893974*p^88*q^1076+623620541192*p^86*q^1078+3034342799157*p^ 84*q^1080+3921152433592*p^82*q^1082+1196984902517*p^80*q^1084+149756525038*p^78 *q^1086+13005526169*p^76*q^1088+947804216*p^74*q^1090+62014355*p^72*q^1092+ 2168748*p^70*q^1094+125618*p^68*q^1096+520*p^66*q^1098+12*p^101*q^1062+648*p^99 *q^1064+127176*p^97*q^1066+5563742*p^95*q^1068+85943020*p^93*q^1070+1259522476* p^91*q^1072+17030462100*p^89*q^1074+197486675052*p^87*q^1076+1503821990372*p^85 *q^1078+4158973361094*p^83*q^1080+2612581282280*p^81*q^1082+479996470508*p^79*q ^1084+48348115680*p^77*q^1086+3821003212*p^75*q^1088+262051185*p^73*q^1090+ 14919462*p^71*q^1092+690006*p^69*q^1094+12716*p^67*q^1096+24*p^65*q^1098+14540* p^98*q^1064+1059086*p^96*q^1066+19566178*p^94*q^1068+308838960*p^92*q^1070+ 4392592413*p^90*q^1072+56078772764*p^88*q^1074+562094409277*p^86*q^1076+ 2885594407502*p^84*q^1078+4029598112750*p^82*q^1080+1313226385280*p^80*q^1082+ 169197998059*p^78*q^1084+14845097646*p^76*q^1086+1089579545*p^74*q^1088+ 72287022*p^72*q^1090+2655025*p^70*q^1092+191920*p^68*q^1094+852*p^66*q^1096+8*p ^101*q^1060+492*p^99*q^1062+116656*p^97*q^1064+4805678*p^95*q^1066+74148912*p^ 93*q^1068+1091221501*p^91*q^1070+14933831414*p^89*q^1072+175293705012*p^87*q^ 1074+1382892599982*p^85*q^1076+4101719549886*p^83*q^1078+2782154296384*p^81*q^ 1080+536263967092*p^79*q^1082+54981816570*p^77*q^1084+4383348754*p^75*q^1086+ 301898324*p^73*q^1088+18043317*p^71*q^1090+640654*p^69*q^1092+18704*p^67*q^1094 +20*p^65*q^1096+138*p^100*q^1060+6580*p^98*q^1062+721306*p^96*q^1064+17185988*p ^94*q^1066+270033833*p^92*q^1068+3841235970*p^90*q^1070+49327352195*p^88*q^1072 +505088866752*p^86*q^1074+2731903294901*p^84*q^1076+4133851226688*p^82*q^1078+ 1436678014888*p^80*q^1080+191049222470*p^78*q^1082+16910160575*p^76*q^1084+ 1249879090*p^74*q^1086+82779217*p^72*q^1088+3525054*p^70*q^1090+214279*p^68*q^ 1092+1016*p^66*q^1094+12*p^101*q^1058+44*p^99*q^1060+91984*p^97*q^1062+4162116* p^95*q^1064+63207280*p^93*q^1066+950672116*p^91*q^1068+13063169955*p^89*q^1070+ 155554853866*p^87*q^1072+1267567307994*p^85*q^1074+4026011738326*p^83*q^1076+ 2954614179723*p^81*q^1078+597710840666*p^79*q^1080+62388725125*p^77*q^1082+ 5013422544*p^75*q^1084+345317668*p^73*q^1086+21353700*p^71*q^1088+540300*p^69*q ^1090+39022*p^67*q^1092+120*p^65*q^1094+136*p^100*q^1058+6004*p^98*q^1060+ 598838*p^96*q^1062+15215834*p^94*q^1064+236098904*p^92*q^1066+3350258299*p^90*q ^1068+43447478592*p^88*q^1070+453658295858*p^86*q^1072+2577095704568*p^84*q^ 1074+4215746412558*p^82*q^1076+1569094176540*p^80*q^1078+215199492229*p^78*q^ 1080+19314783732*p^76*q^1082+1433909998*p^74*q^1084+95384178*p^72*q^1086+ 4522464*p^70*q^1088+241298*p^68*q^1090+1820*p^66*q^1092+656*p^99*q^1058+55848*p ^97*q^1060+3258814*p^95*q^1062+54828856*p^93*q^1064+830639964*p^91*q^1066+ 11474774494*p^89*q^1068+137838460000*p^87*q^1070+1160042065428*p^85*q^1072+ 3933149029564*p^83*q^1074+3124226421844*p^81*q^1076+665529643401*p^79*q^1078+ 70930749880*p^77*q^1080+5731213763*p^75*q^1082+398606482*p^73*q^1084+25265856*p ^71*q^1086+697888*p^69*q^1088+49572*p^67*q^1090+36*p^65*q^1092+212*p^100*q^1056 +1638*p^98*q^1058+486950*p^96*q^1060+13564138*p^94*q^1062+203430123*p^92*q^1064 +2915507748*p^90*q^1066+38148440823*p^88*q^1068+406061064874*p^86*q^1070+ 2422837061544*p^84*q^1072+4283790026712*p^82*q^1074+1708855717221*p^80*q^1076+ 242579428332*p^78*q^1078+22009227997*p^76*q^1080+1650679334*p^74*q^1082+ 108728542*p^72*q^1084+5670320*p^70*q^1086+165068*p^68*q^1088+5512*p^66*q^1090+8 *p^64*q^1092+8*p^101*q^1054+1068*p^99*q^1056+45742*p^97*q^1058+2599332*p^95*q^ 1060+47095070*p^93*q^1062+726222008*p^91*q^1064+10040161077*p^89*q^1066+ 121986446706*p^87*q^1068+1058341629004*p^85*q^1070+3830794582694*p^83*q^1072+ 3292345159343*p^81*q^1074+739241538100*p^79*q^1076+80385468322*p^77*q^1078+ 6544717332*p^75*q^1080+454566208*p^73*q^1082+29444676*p^71*q^1084+916102*p^69*q ^1086+71726*p^67*q^1088+92*p^65*q^1090+30*p^100*q^1054+2336*p^98*q^1056+346420* p^96*q^1058+11798430*p^94*q^1060+176994670*p^92*q^1062+2545843190*p^90*q^1064+ 33563631632*p^88*q^1066+363563445522*p^86*q^1068+2269157823282*p^84*q^1070+ 4332896736962*p^82*q^1072+1854316504592*p^80*q^1074+272962111935*p^78*q^1076+ 25088588952*p^76*q^1078+1895990055*p^74*q^1080+125204474*p^72*q^1082+6916966*p^ 70*q^1084+130986*p^68*q^1086+8616*p^66*q^1088+1750*p^99*q^1054+23686*p^97*q^ 1056+2238274*p^95*q^1058+41451406*p^93*q^1060+635006478*p^91*q^1062+8789168680* p^89*q^1064+107947361773*p^87*q^1066+962648431452*p^85*q^1068+3712828264232*p^ 83*q^1070+3456803795832*p^81*q^1072+820130733146*p^79*q^1074+91191749072*p^77*q ^1076+7506019409*p^75*q^1078+526405330*p^73*q^1080+34237498*p^71*q^1082+1295700 *p^69*q^1084+71912*p^67*q^1086+468*p^65*q^1088+144*p^100*q^1052+4576*p^98*q^ 1054+272652*p^96*q^1056+9654750*p^94*q^1058+151757716*p^92*q^1060+2216289182*p^ 90*q^1062+29461685693*p^88*q^1064+324531808978*p^86*q^1066+2117709698671*p^84*q ^1068+4365825244262*p^82*q^1070+2008820998580*p^80*q^1072+306890740436*p^78*q^ 1074+28595892263*p^76*q^1076+2161175262*p^74*q^1078+142714940*p^72*q^1080+ 8341098*p^70*q^1082+151668*p^68*q^1084+12392*p^66*q^1086+746*p^99*q^1052+13440* p^97*q^1054+1682230*p^95*q^1056+37088558*p^93*q^1058+552588536*p^91*q^1060+ 7681138265*p^89*q^1062+95326623278*p^87*q^1064+874484056288*p^85*q^1066+ 3582014121736*p^83*q^1068+3616652581738*p^81*q^1070+907924118602*p^79*q^1072+ 103264604219*p^77*q^1074+8555889636*p^75*q^1076+609573272*p^73*q^1078+39214336* p^71*q^1080+1612435*p^69*q^1082+37860*p^67*q^1084+1288*p^65*q^1086+4*p^100*q^ 1050+8824*p^98*q^1052+193920*p^96*q^1054+8545464*p^94*q^1056+130479262*p^92*q^ 1058+1940113880*p^90*q^1060+25897743366*p^88*q^1062+289678955917*p^86*q^1064+ 1971491458840*p^84*q^1066+4374662631620*p^82*q^1068+2167547930174*p^80*q^1070+ 344528802097*p^78*q^1072+32570044108*p^76*q^1074+2481499818*p^74*q^1076+ 161932188*p^72*q^1078+10194236*p^70*q^1080+239152*p^68*q^1082+23412*p^66*q^1084 +16*p^64*q^1086+1136*p^99*q^1050+16052*p^97*q^1052+1356002*p^95*q^1054+31875890 *p^93*q^1056+483518800*p^91*q^1058+6716460516*p^89*q^1060+84124716519*p^87*q^ 1062+792131849216*p^85*q^1064+3444865458705*p^83*q^1066+3763145916552*p^81*q^ 1068+1003724158681*p^79*q^1070+117090042698*p^77*q^1072+9807186425*p^75*q^1074+ 700772058*p^73*q^1076+45691755*p^71*q^1078+2041032*p^69*q^1080+26750*p^67*q^ 1082+1016*p^65*q^1084+7134*p^98*q^1050+107128*p^96*q^1052+6930556*p^94*q^1054+ 113963442*p^92*q^1056+1687511002*p^90*q^1058+22701108655*p^88*q^1060+ 257860560058*p^86*q^1062+1828216667134*p^84*q^1064+4372581099282*p^82*q^1066+ 2332144804236*p^80*q^1068+386445028740*p^78*q^1070+37054791383*p^76*q^1072+ 2838527072*p^74*q^1074+188321190*p^72*q^1076+11786130*p^70*q^1078+321174*p^68*q ^1080+15452*p^66*q^1082+144*p^64*q^1084+352*p^99*q^1048+28948*p^97*q^1050+ 1093550*p^95*q^1052+27947390*p^93*q^1054+416908722*p^91*q^1056+5872300737*p^89* q^1058+74234730500*p^87*q^1060+715572436404*p^85*q^1062+3299308468656*p^83*q^ 1064+3907857435224*p^81*q^1066+1105370352320*p^79*q^1068+132431937529*p^77*q^ 1070+11196916892*p^75*q^1072+803450534*p^73*q^1074+50412128*p^71*q^1076+2645423 *p^69*q^1078+32696*p^67*q^1080+4404*p^65*q^1082+6264*p^98*q^1048+85272*p^96*q^ 1050+5654936*p^94*q^1052+99766588*p^92*q^1054+1480401698*p^90*q^1056+ 19921900720*p^88*q^1058+229542425787*p^86*q^1060+1689889315664*p^84*q^1062+ 4344898572159*p^82*q^1064+2502374260074*p^80*q^1066+432842805230*p^78*q^1068+ 42168227128*p^76*q^1070+3254261694*p^74*q^1072+219556314*p^72*q^1074+14323812*p ^70*q^1076+409336*p^68*q^1078+8324*p^66*q^1080+32*p^64*q^1082+24*p^99*q^1046+ 37736*p^97*q^1048+726988*p^95*q^1050+24511372*p^93*q^1052+360206583*p^91*q^1054 +5128544260*p^89*q^1056+65447371183*p^87*q^1058+645932546052*p^85*q^1060+ 3144069424096*p^83*q^1062+4035908863168*p^81*q^1064+1216848527148*p^79*q^1066+ 149725131808*p^77*q^1068+12806407990*p^75*q^1070+922918306*p^73*q^1072+57107144 *p^71*q^1074+3204180*p^69*q^1076+56400*p^67*q^1078+4932*p^65*q^1080+8*p^63*q^ 1082+8*p^100*q^1044+4848*p^98*q^1046+80970*p^96*q^1048+4806000*p^94*q^1050+ 86724984*p^92*q^1052+1293078280*p^90*q^1054+17461161116*p^88*q^1056+ 203835895048*p^86*q^1058+1558340160689*p^84*q^1060+4300255678846*p^82*q^1062+ 2675321623010*p^80*q^1064+484442166986*p^78*q^1066+47990052312*p^76*q^1068+ 3731079788*p^74*q^1070+253820814*p^72*q^1072+16502392*p^70*q^1074+570144*p^68*q ^1076+3940*p^66*q^1078+388*p^64*q^1080+36*p^99*q^1044+30664*p^97*q^1046+530276* p^95*q^1048+20388472*p^93*q^1050+312669034*p^91*q^1052+4466450938*p^89*q^1054+ 57585947564*p^87*q^1056+581364086116*p^85*q^1058+2989278844226*p^83*q^1060+ 4152002167253*p^81*q^1062+1335229984832*p^79*q^1064+169146169541*p^77*q^1066+ 14593682298*p^75*q^1068+1052198036*p^73*q^1070+66091218*p^71*q^1072+3902529*p^ 69*q^1074+63078*p^67*q^1076+2876*p^65*q^1078+736*p^98*q^1044+130304*p^96*q^1046 +3727780*p^94*q^1048+77034132*p^92*q^1050+1126031300*p^90*q^1052+15326049298*p^ 88*q^1054+181053910249*p^86*q^1056+1432785800436*p^84*q^1058+4239179802460*p^82 *q^1060+2848556114156*p^80*q^1062+540877195464*p^78*q^1064+54547026826*p^76*q^ 1066+4278218310*p^74*q^1068+294292298*p^72*q^1070+17997880*p^70*q^1072+761072*p ^68*q^1074+7956*p^66*q^1076+1048*p^64*q^1078+124*p^99*q^1042+31860*p^97*q^1044+ 367062*p^95*q^1046+17728840*p^93*q^1048+271839288*p^91*q^1050+3919088668*p^89*q ^1052+50691554096*p^87*q^1054+522361633684*p^85*q^1056+2828303527223*p^83*q^ 1058+4253627628076*p^81*q^1060+1461415730985*p^79*q^1062+191184744356*p^77*q^ 1064+16685418247*p^75*q^1066+1212823964*p^73*q^1068+76924276*p^71*q^1070+ 5146622*p^69*q^1072+103378*p^67*q^1074+1184*p^65*q^1076+8*p^63*q^1078+790*p^98* q^1042+126152*p^96*q^1044+2820234*p^94*q^1046+66347808*p^92*q^1048+977572060*p^ 90*q^1050+13385193439*p^88*q^1052+160394977806*p^86*q^1054+1312425846899*p^84*q ^1056+4161708793724*p^82*q^1058+3025675485246*p^80*q^1060+603333062142*p^78*q^ 1062+61951975251*p^76*q^1064+4903518080*p^74*q^1066+335298826*p^72*q^1068+ 20093054*p^70*q^1070+875038*p^68*q^1072+7864*p^66*q^1074+624*p^64*q^1076+16*p^ 99*q^1040+12192*p^97*q^1042+385302*p^95*q^1044+14915004*p^93*q^1046+236687640*p ^91*q^1048+3422364647*p^89*q^1050+44610419696*p^87*q^1052+468655522725*p^85*q^ 1054+2667517331698*p^83*q^1056+4342227634362*p^81*q^1058+1595787093490*p^79*q^ 1060+215377131308*p^77*q^1062+19031467568*p^75*q^1064+1385813716*p^73*q^1066+ 90640304*p^71*q^1068+5785114*p^69*q^1070+147804*p^67*q^1072+680*p^65*q^1074+136 *p^63*q^1076+864*p^98*q^1040+136584*p^96*q^1042+2067240*p^94*q^1044+58178174*p^ 92*q^1046+851751101*p^90*q^1048+11736196498*p^88*q^1050+142091038756*p^86*q^ 1052+1200466312356*p^84*q^1054+4062682401067*p^82*q^1056+3200614768166*p^80*q^ 1058+671669972218*p^78*q^1060+70420383364*p^76*q^1062+5609121003*p^74*q^1064+ 387173880*p^72*q^1066+22834440*p^70*q^1068+1290776*p^68*q^1070+14998*p^66*q^ 1072+456*p^64*q^1074+24*p^99*q^1038+8218*p^97*q^1040+431874*p^95*q^1042+ 12191024*p^93*q^1044+206599083*p^91*q^1046+2988429196*p^89*q^1048+39231205678*p ^87*q^1050+419835135270*p^85*q^1052+2506040443419*p^83*q^1054+4407246628938*p^ 81*q^1056+1738460005408*p^79*q^1058+242925109702*p^77*q^1060+21706496194*p^75*q ^1062+1599722868*p^73*q^1064+104456718*p^71*q^1066+6494138*p^69*q^1068+172454*p ^67*q^1070+984*p^65*q^1072+72*p^63*q^1074+560*p^98*q^1038+95788*p^96*q^1040+ 1538852*p^94*q^1042+50569254*p^92*q^1044+738907760*p^90*q^1046+10263006158*p^88 *q^1048+125584784684*p^86*q^1050+1094419039079*p^84*q^1052+3956336329550*p^82*q ^1054+3370717000930*p^80*q^1056+747037342050*p^78*q^1058+79885294991*p^76*q^ 1060+6429778018*p^74*q^1062+441454980*p^72*q^1064+26978850*p^70*q^1066+1657224* p^68*q^1068+23440*p^66*q^1070+20*p^64*q^1072+8*p^62*q^1074+5359*p^97*q^1038+ 448346*p^95*q^1040+9737036*p^93*q^1042+180307476*p^91*q^1044+2609186808*p^89*q^ 1046+34436068926*p^87*q^1048+375407653548*p^85*q^1050+2347410447184*p^83*q^1052 +4461187407054*p^81*q^1054+1886973642408*p^79*q^1056+273383801683*p^77*q^1058+ 24729111604*p^75*q^1060+1832896814*p^73*q^1062+120754932*p^71*q^1064+6968548*p^ 69*q^1066+239120*p^67*q^1068+1412*p^65*q^1070+96*p^63*q^1072+380*p^98*q^1036+ 58682*p^96*q^1038+1488144*p^94*q^1040+43428242*p^92*q^1042+643768457*p^90*q^ 1044+8981696454*p^88*q^1046+111140906695*p^86*q^1048+995107971814*p^84*q^1050+ 3832881063432*p^82*q^1052+3540477370392*p^80*q^1054+828020518254*p^78*q^1056+ 90633597518*p^76*q^1058+7358342178*p^74*q^1060+507680220*p^72*q^1062+31458512*p ^70*q^1064+2028474*p^68*q^1066+28584*p^66*q^1068+120*p^64*q^1070+4*p^62*q^1072+ 5520*p^97*q^1036+438872*p^95*q^1038+7288988*p^93*q^1040+158556696*p^91*q^1042+ 2279234654*p^89*q^1044+30267229369*p^87*q^1046+335110468754*p^85*q^1048+ 2189452376151*p^83*q^1050+4490434188754*p^81*q^1052+2044238577310*p^79*q^1054+ 307641387186*p^77*q^1056+28239871851*p^75*q^1058+2105103310*p^73*q^1060+ 139812548*p^71*q^1062+8055750*p^69*q^1064+373516*p^67*q^1066+3446*p^65*q^1068+ 88*p^98*q^1034+40551*p^96*q^1036+1373002*p^94*q^1038+37257258*p^92*q^1040+ 557097206*p^90*q^1042+7855299702*p^88*q^1044+98016298306*p^86*q^1046+ 903651381076*p^84*q^1048+3696435401730*p^82*q^1050+3702221924273*p^80*q^1052+ 917561414948*p^78*q^1054+102738497411*p^76*q^1056+8400839946*p^74*q^1058+ 585185233*p^72*q^1060+36421694*p^70*q^1062+2210158*p^68*q^1064+36240*p^66*q^ 1066+52*p^64*q^1068+8*p^62*q^1070+8*p^99*q^1032+3676*p^97*q^1034+317620*p^95*q^ 1036+6005310*p^93*q^1038+137502620*p^91*q^1040+1988228846*p^89*q^1042+ 26529256806*p^87*q^1044+298749398333*p^85*q^1046+2037289109708*p^83*q^1048+ 4504069119087*p^81*q^1050+2206156981400*p^79*q^1052+345436367611*p^77*q^1054+ 32132228378*p^75*q^1056+2419888379*p^73*q^1058+157896270*p^71*q^1060+9404050*p^ 69*q^1062+507408*p^67*q^1064+3146*p^65*q^1066+8*p^63*q^1068+8*p^100*q^1030+ 30704*p^96*q^1034+1447236*p^94*q^1036+30167878*p^92*q^1038+489387428*p^90*q^ 1040+6869000304*p^88*q^1042+86597696317*p^86*q^1044+818125768172*p^84*q^1046+ 3555319011906*p^82*q^1048+3853887200372*p^80*q^1050+1013735037096*p^78*q^1052+ 116390292650*p^76*q^1054+9618802281*p^74*q^1056+671120286*p^72*q^1058+43346582* p^70*q^1060+2409576*p^68*q^1062+61822*p^66*q^1064+420*p^64*q^1066+1968*p^97*q^ 1032+254323*p^95*q^1034+4971160*p^93*q^1036+121755662*p^91*q^1038+1728477310*p^ 89*q^1040+23309917833*p^87*q^1042+265932973084*p^85*q^1044+1887912607274*p^83*q ^1046+4494815700754*p^81*q^1048+2374395093200*p^79*q^1050+387679163070*p^77*q^ 1052+36644483885*p^75*q^1054+2781929128*p^73*q^1056+183663989*p^71*q^1058+ 10729256*p^69*q^1060+664698*p^67*q^1062+5208*p^65*q^1064+4*p^100*q^1028+140*p^ 98*q^1030+28546*p^96*q^1032+1271606*p^94*q^1034+24515524*p^92*q^1036+423273294* p^90*q^1038+6009041625*p^88*q^1040+76252932526*p^86*q^1042+738864608535*p^84*q^ 1044+3402370396848*p^82*q^1046+4000823755043*p^80*q^1048+1117770900876*p^78*q^ 1050+131809913896*p^76*q^1052+10986364260*p^74*q^1054+772073831*p^72*q^1056+ 48695662*p^70*q^1058+2879121*p^68*q^1060+89682*p^66*q^1062+208*p^64*q^1064+96*p ^99*q^1028+328*p^97*q^1030+158446*p^95*q^1032+4522324*p^93*q^1034+104877760*p^ 91*q^1036+1507342593*p^89*q^1038+20402304972*p^87*q^1040+236532484639*p^85*q^ 1042+1745093530194*p^83*q^1044+4470034474123*p^81*q^1046+2546713730484*p^79*q^ 1048+434221659913*p^77*q^1050+41654474856*p^75*q^1052+3181788298*p^73*q^1054+ 210294804*p^71*q^1056+12942399*p^69*q^1058+679280*p^67*q^1060+7642*p^65*q^1062+ 28*p^63*q^1064+8*p^100*q^1026+16*p^98*q^1028+18578*p^96*q^1030+1140458*p^94*q^ 1032+20148600*p^92*q^1034+372062928*p^90*q^1036+5261599558*p^88*q^1038+ 67259964799*p^86*q^1040+666666066262*p^84*q^1042+3242576731054*p^82*q^1044+ 4132822424530*p^80*q^1046+1230023951698*p^78*q^1048+149080862512*p^76*q^1050+ 12562919905*p^74*q^1052+892721504*p^72*q^1054+56292728*p^70*q^1056+3185008*p^68 *q^1058+161092*p^66*q^1060+516*p^64*q^1062+72*p^99*q^1026+1112*p^97*q^1028+ 157854*p^95*q^1030+4209426*p^93*q^1032+88788723*p^91*q^1034+1313092034*p^89*q^ 1036+17873184637*p^87*q^1038+210034613222*p^85*q^1040+1608058547925*p^83*q^1042 +4419778757146*p^81*q^1044+2723446878731*p^79*q^1046+486131960436*p^77*q^1048+ 47461446748*p^75*q^1050+3652196138*p^73*q^1052+241721439*p^71*q^1054+15230362*p ^69*q^1056+839815*p^67*q^1058+10952*p^65*q^1060+8*p^63*q^1062+452*p^98*q^1026+ 7336*p^96*q^1028+822962*p^94*q^1030+16394038*p^92*q^1032+327123990*p^90*q^1034+ 4585793692*p^88*q^1036+59200819838*p^86*q^1038+599696003454*p^84*q^1040+ 3080960945316*p^82*q^1042+4249116932796*p^80*q^1044+1350627110386*p^78*q^1046+ 168566762986*p^76*q^1048+14344241486*p^74*q^1050+1025537023*p^72*q^1052+ 64773930*p^70*q^1054+3726100*p^68*q^1056+173536*p^66*q^1058+932*p^64*q^1060+136 *p^99*q^1024+548*p^97*q^1026+120828*p^95*q^1028+3918782*p^93*q^1030+75163162*p^ 91*q^1032+1138846393*p^89*q^1034+15671351392*p^87*q^1036+186178929060*p^85*q^ 1038+1478246981122*p^83*q^1040+4359474353582*p^81*q^1042+2899658387368*p^79*q^ 1044+542940198207*p^77*q^1046+53927787800*p^75*q^1048+4182152513*p^73*q^1050+ 278096210*p^71*q^1052+17037124*p^69*q^1054+963188*p^67*q^1056+26146*p^65*q^1058 +16*p^63*q^1060+640*p^98*q^1024+6452*p^96*q^1026+689288*p^94*q^1028+14249412*p^ 92*q^1030+285488046*p^90*q^1032+4019887932*p^88*q^1034+52086299261*p^86*q^1036+ 538750774022*p^84*q^1038+2915426018208*p^82*q^1040+4355966603898*p^80*q^1042+ 1477505904112*p^78*q^1044+190389519080*p^76*q^1046+16390824499*p^74*q^1048+ 1181000304*p^72*q^1050+74304874*p^70*q^1052+4713926*p^68*q^1054+205312*p^66*q^ 1056+932*p^64*q^1058+8*p^99*q^1022+1112*p^97*q^1024+71994*p^95*q^1026+3435376*p ^93*q^1028+62019750*p^91*q^1030+997637560*p^89*q^1032+13722283580*p^87*q^1034+ 165118544710*p^85*q^1036+1353102657831*p^83*q^1038+4275305143200*p^81*q^1040+ 3080585207536*p^79*q^1042+605727482194*p^77*q^1044+61360377708*p^75*q^1046+ 4796557124*p^73*q^1048+322212077*p^71*q^1050+19629982*p^69*q^1052+1052302*p^67* q^1054+39890*p^65*q^1056+120*p^63*q^1058+1032*p^98*q^1022+6490*p^96*q^1024+ 611652*p^94*q^1026+12538873*p^92*q^1028+247986052*p^90*q^1030+3496605938*p^88*q ^1032+45770956278*p^86*q^1034+483046292763*p^84*q^1036+2746639252794*p^82*q^ 1038+4443196891668*p^80*q^1040+1615007102408*p^78*q^1042+214797942218*p^76*q^ 1044+18716335718*p^74*q^1046+1357095474*p^72*q^1048+85813680*p^70*q^1050+ 5418194*p^68*q^1052+266922*p^66*q^1054+2286*p^64*q^1056+2984*p^97*q^1022+42198* p^95*q^1024+2754700*p^93*q^1026+51934768*p^91*q^1028+870100595*p^89*q^1030+ 12016658692*p^87*q^1032+146105755358*p^85*q^1034+1237621305940*p^83*q^1036+ 4175728047848*p^81*q^1038+3257830026940*p^79*q^1040+674714597425*p^77*q^1042+ 69633987472*p^75*q^1044+5474088443*p^73*q^1046+370933236*p^71*q^1048+22081623*p ^69*q^1050+1321000*p^67*q^1052+39138*p^65*q^1054+40*p^63*q^1056+368*p^98*q^1020 +2874*p^96*q^1022+442258*p^94*q^1024+11589572*p^92*q^1026+213233220*p^90*q^1028 +3051361678*p^88*q^1030+40244904814*p^86*q^1032+432591432642*p^84*q^1034+ 2581755891752*p^82*q^1036+4511173040958*p^80*q^1038+1758265226533*p^78*q^1040+ 242137246772*p^76*q^1042+21360761792*p^74*q^1044+1564118636*p^72*q^1046+ 98741321*p^70*q^1048+6155534*p^68*q^1050+293744*p^66*q^1052+7284*p^64*q^1054+8* p^62*q^1056+8*p^99*q^1018+4764*p^97*q^1020+44384*p^95*q^1022+2496248*p^93*q^ 1024+43635909*p^91*q^1026+765373912*p^89*q^1028+10534865163*p^87*q^1030+ 129227580806*p^85*q^1032+1127662404593*p^83*q^1034+4062862165632*p^81*q^1036+ 3431882613276*p^79*q^1038+750468458462*p^77*q^1040+79163487961*p^75*q^1042+ 6287525418*p^73*q^1044+428477824*p^71*q^1046+25929556*p^69*q^1048+1743250*p^67* q^1050+58808*p^65*q^1052+74*p^63*q^1054+44*p^98*q^1018+8326*p^96*q^1020+290126* p^94*q^1022+9896920*p^92*q^1024+181395838*p^90*q^1026+2654330892*p^88*q^1028+ 35285321898*p^86*q^1030+386319584389*p^84*q^1032+2415839453520*p^82*q^1034+ 4563566031950*p^80*q^1036+1909795936006*p^78*q^1038+272782194056*p^76*q^1040+ 24366481468*p^74*q^1042+1789676259*p^72*q^1044+114094514*p^70*q^1046+6677960*p^ 68*q^1048+325724*p^66*q^1050+6326*p^64*q^1052+4140*p^97*q^1018+21924*p^95*q^ 1020+2032323*p^93*q^1022+37825252*p^91*q^1024+667237710*p^89*q^1026+9210052722* p^87*q^1028+114201221364*p^85*q^1030+1025583381194*p^83*q^1032+3937366310820*p^ 81*q^1034+3603921722852*p^79*q^1036+832082631339*p^77*q^1038+89741549658*p^75*q ^1040+7186194989*p^73*q^1042+493760440*p^71*q^1044+29608794*p^69*q^1046+2035890 *p^67*q^1048+71588*p^65*q^1050+820*p^63*q^1052+140*p^98*q^1016+14708*p^96*q^ 1018+237200*p^94*q^1020+8898132*p^92*q^1022+154122390*p^90*q^1024+2326508944*p^ 88*q^1026+31017632869*p^86*q^1028+344928823450*p^84*q^1030+2253235549085*p^82*q ^1032+4596307895668*p^80*q^1034+2067537754997*p^78*q^1036+306864145918*p^76*q^ 1038+27802387329*p^74*q^1040+2054482676*p^72*q^1042+132567362*p^70*q^1044+ 7522478*p^68*q^1046+482612*p^66*q^1048+9292*p^64*q^1050+1100*p^97*q^1016+23826* p^95*q^1018+1581210*p^93*q^1020+33085296*p^91*q^1022+581217078*p^89*q^1024+ 8048602124*p^87*q^1026+100791639692*p^85*q^1028+930252140973*p^83*q^1030+ 3795487146836*p^81*q^1032+3769408290134*p^79*q^1034+922322964084*p^77*q^1036+ 101822793572*p^75*q^1038+8234476724*p^73*q^1040+572696777*p^71*q^1042+34141838* p^69*q^1044+2294941*p^67*q^1046+79584*p^65*q^1048+1040*p^63*q^1050+20*p^98*q^ 1014+21454*p^96*q^1016+167104*p^94*q^1018+7630999*p^92*q^1020+129962578*p^90*q^ 1022+2029184396*p^88*q^1024+27219507046*p^86*q^1026+307308679390*p^84*q^1028+ 2095044705468*p^82*q^1030+4605157585364*p^80*q^1032+2233713804200*p^78*q^1034+ 344767415021*p^76*q^1036+31680085132*p^74*q^1038+2356906268*p^72*q^1040+ 151751768*p^70*q^1042+8687375*p^68*q^1044+621440*p^66*q^1046+13114*p^64*q^1048+ 40*p^62*q^1050+1216*p^97*q^1014+33124*p^95*q^1016+1176853*p^93*q^1018+29253538* p^91*q^1020+503676700*p^89*q^1022+7029687106*p^87*q^1024+88853071695*p^85*q^ 1026+842198395148*p^83*q^1028+3649358638603*p^81*q^1030+3923201303182*p^79*q^ 1032+1019369157487*p^77*q^1034+115345314718*p^75*q^1036+9420473549*p^73*q^1038+ 656309352*p^71*q^1040+40259213*p^69*q^1042+2365560*p^67*q^1044+101122*p^65*q^ 1046+878*p^63*q^1048+12116*p^96*q^1014+119884*p^94*q^1016+6593330*p^92*q^1018+ 111469460*p^90*q^1020+1775018616*p^88*q^1022+23879488221*p^86*q^1024+ 273624806208*p^84*q^1026+1942546559039*p^82*q^1028+4598770852434*p^80*q^1030+ 2401791217464*p^78*q^1032+386919461150*p^76*q^1034+36076049980*p^74*q^1036+ 2700870982*p^72*q^1038+176826912*p^70*q^1040+9675968*p^68*q^1042+813084*p^66*q^ 1044+18002*p^64*q^1046+136*p^62*q^1048+540*p^97*q^1012+62642*p^95*q^1014+939514 *p^93*q^1016+25679894*p^91*q^1018+434664632*p^89*q^1020+6151922797*p^87*q^1022+ 78350214210*p^85*q^1024+760152808614*p^83*q^1026+3491202929434*p^81*q^1028+ 4072463247405*p^79*q^1030+1123875704738*p^77*q^1032+130788336221*p^75*q^1034+ 10793152560*p^73*q^1036+758049550*p^71*q^1038+46305788*p^69*q^1040+2637200*p^67 *q^1042+152514*p^65*q^1044+1818*p^63*q^1046+8264*p^96*q^1012+99328*p^94*q^1014+ 5253159*p^92*q^1016+96017772*p^90*q^1018+1549989045*p^88*q^1020+20908970268*p^ 86*q^1022+243082355676*p^84*q^1024+1793465564186*p^82*q^1026+4570084305538*p^80 *q^1028+2578406931190*p^78*q^1030+433827010044*p^76*q^1032+41071751424*p^74*q^ 1034+3097615032*p^72*q^1036+204866480*p^70*q^1038+11559268*p^68*q^1040+881644*p ^66*q^1042+17784*p^64*q^1044+32*p^62*q^1046+76*p^97*q^1010+65608*p^95*q^1012+ 677498*p^93*q^1014+22690724*p^91*q^1016+371187072*p^89*q^1018+5372351186*p^87*q ^1020+68982490460*p^85*q^1022+685730948306*p^83*q^1024+3326961991831*p^81*q^ 1026+4206129292474*p^79*q^1028+1237113505248*p^77*q^1030+147781810358*p^75*q^ 1032+12324824428*p^73*q^1034+866887594*p^71*q^1036+53217580*p^69*q^1038+2688944 *p^67*q^1040+230351*p^65*q^1042+2684*p^63*q^1044+8*p^61*q^1046+8*p^98*q^1008+ 5822*p^96*q^1010+126860*p^94*q^1012+4266370*p^92*q^1014+83754911*p^90*q^1016+ 1356969888*p^88*q^1018+18342367399*p^86*q^1020+215885380350*p^84*q^1022+ 1653392275019*p^82*q^1024+4520875242990*p^80*q^1026+2755356958996*p^78*q^1028+ 485464647138*p^76*q^1030+46783996256*p^74*q^1032+3560437802*p^72*q^1034+ 237176990*p^70*q^1036+13820504*p^68*q^1038+942813*p^66*q^1040+27536*p^64*q^1042 +196*p^62*q^1044+56*p^97*q^1008+47704*p^95*q^1010+532284*p^93*q^1012+19754423*p ^91*q^1014+320132546*p^89*q^1016+4694005849*p^87*q^1018+60735977326*p^85*q^1020 +616495653337*p^83*q^1022+3160161549036*p^81*q^1024+4325110670163*p^79*q^1026+ 1358305359226*p^77*q^1028+167284072272*p^75*q^1030+14098798770*p^73*q^1032+ 996729932*p^71*q^1034+62336326*p^69*q^1036+3013063*p^67*q^1038+319242*p^65*q^ 1040+3556*p^63*q^1042+1784*p^96*q^1008+200896*p^94*q^1010+3317576*p^92*q^1012+ 72802542*p^90*q^1014+1176684892*p^88*q^1016+16065122288*p^86*q^1018+ 191288298122*p^84*q^1020+1517954462922*p^82*q^1022+4455334066849*p^80*q^1024+ 2936581622896*p^78*q^1026+542578374414*p^76*q^1028+53215493762*p^74*q^1030+ 4087527265*p^72*q^1032+273045672*p^70*q^1034+15758510*p^68*q^1036+925886*p^66*q ^1038+43131*p^64*q^1040+200*p^62*q^1042+128*p^97*q^1006+37912*p^95*q^1008+ 362062*p^93*q^1010+16466328*p^91*q^1012+274749836*p^89*q^1014+4103606618*p^87*q ^1016+53373236254*p^85*q^1018+553718819712*p^83*q^1020+2989201466793*p^81*q^ 1022+4432925486898*p^79*q^1024+1486477815562*p^77*q^1026+188940010428*p^75*q^ 1028+16072099767*p^73*q^1030+1142533616*p^71*q^1032+72270830*p^69*q^1034+ 3760620*p^67*q^1036+344646*p^65*q^1038+3164*p^63*q^1040+12*p^61*q^1042+1248*p^ 96*q^1006+196174*p^94*q^1008+2718090*p^92*q^1010+64862320*p^90*q^1012+ 1024003684*p^88*q^1014+14077086902*p^86*q^1016+169690470646*p^84*q^1018+ 1390556187079*p^82*q^1020+4370517299388*p^80*q^1022+3116625833513*p^78*q^1024+ 605416531250*p^76*q^1026+60469839742*p^74*q^1028+4693817314*p^72*q^1030+ 314988343*p^70*q^1032+18515866*p^68*q^1034+799628*p^66*q^1036+91498*p^64*q^1038 +612*p^62*q^1040+20*p^97*q^1004+19636*p^95*q^1006+473202*p^93*q^1008+13793772*p ^91*q^1010+236731566*p^89*q^1012+3588794818*p^87*q^1014+46933764934*p^85*q^1016 +496192684354*p^83*q^1018+2815736273002*p^81*q^1020+4521525940172*p^79*q^1022+ 1624684475322*p^77*q^1024+213298766303*p^75*q^1026+18395339770*p^73*q^1028+ 1317439660*p^71*q^1030+84252540*p^69*q^1032+4440802*p^67*q^1034+416510*p^65*q^ 1036+4728*p^63*q^1038+8*p^61*q^1040+968*p^96*q^1004+175580*p^94*q^1006+1878050* p^92*q^1008+56035148*p^90*q^1010+886299588*p^88*q^1012+12300887394*p^86*q^1014+ 149990166722*p^84*q^1016+1270407095066*p^82*q^1018+4266784725881*p^80*q^1020+ 3298516100394*p^78*q^1022+674561622432*p^76*q^1024+68761643310*p^74*q^1026+ 5363216832*p^72*q^1028+360402692*p^70*q^1030+21518231*p^68*q^1032+902194*p^66*q ^1034+101520*p^64*q^1036+176*p^62*q^1038+4*p^97*q^1002+13364*p^95*q^1004+551505 *p^93*q^1006+11411368*p^91*q^1008+206038681*p^89*q^1010+3131529150*p^87*q^1012+ 41269289364*p^85*q^1014+444209954384*p^83*q^1016+2645818117989*p^81*q^1018+ 4589313163330*p^79*q^1020+1769427575737*p^77*q^1022+240454268614*p^75*q^1024+ 20967383761*p^73*q^1026+1517917496*p^71*q^1028+97208350*p^69*q^1030+5267868*p^ 67*q^1032+322443*p^65*q^1034+17760*p^63*q^1036+48*p^61*q^1038+544*p^96*q^1002+ 126780*p^94*q^1004+1535850*p^92*q^1006+48869113*p^90*q^1008+765752056*p^88*q^ 1010+10783704096*p^86*q^1012+132534105036*p^84*q^1014+1158192097342*p^82*q^1016 +4152144872590*p^80*q^1018+3472830977288*p^78*q^1020+750128776872*p^76*q^1022+ 78116513805*p^74*q^1024+6151391246*p^72*q^1026+413585339*p^70*q^1028+25485028*p ^68*q^1030+1105162*p^66*q^1032+155342*p^64*q^1034+252*p^62*q^1036+2*p^99*q^998+ 7192*p^95*q^1002+589120*p^93*q^1004+9153866*p^91*q^1006+179739738*p^89*q^1008+ 2742295569*p^87*q^1010+36218012758*p^85*q^1012+396930452794*p^83*q^1014+ 2475291728922*p^81*q^1016+4643952056163*p^79*q^1018+1920757167386*p^77*q^1020+ 271037314086*p^75*q^1022+23934528482*p^73*q^1024+1748853470*p^71*q^1026+ 112176960*p^69*q^1028+6137817*p^67*q^1030+250674*p^65*q^1032+23842*p^63*q^1034+ 176*p^96*q^1000+90742*p^94*q^1002+1518759*p^92*q^1004+41543298*p^90*q^1006+ 662493051*p^88*q^1008+9413599818*p^86*q^1010+117105940404*p^84*q^1012+ 1051280456274*p^82*q^1014+4021833403528*p^80*q^1016+3649080647400*p^78*q^1018+ 832521746902*p^76*q^1020+88677176792*p^74*q^1022+7050450512*p^72*q^1024+ 478012428*p^70*q^1026+29679713*p^68*q^1028+1367810*p^66*q^1030+171476*p^64*q^ 1032+1908*p^62*q^1034+8*p^99*q^996+5344*p^95*q^1000+534294*p^93*q^1002+6843930* p^91*q^1004+157021232*p^89*q^1006+2382593854*p^87*q^1008+31805203811*p^85*q^ 1010+354061074704*p^83*q^1012+2308300700715*p^81*q^1014+4675174708090*p^79*q^ 1016+2081628649258*p^77*q^1018+304697691886*p^75*q^1020+27277983851*p^73*q^1022 +2000128422*p^71*q^1024+127529757*p^69*q^1026+7275548*p^67*q^1028+241138*p^65*q ^1030+35224*p^63*q^1032+24*p^98*q^996+44*p^96*q^998+57740*p^94*q^1000+1546128*p ^92*q^1002+35843429*p^90*q^1004+572488496*p^88*q^1006+8257486786*p^86*q^1008+ 103405552528*p^84*q^1010+954783708707*p^82*q^1012+3875980920694*p^80*q^1014+ 3813899972472*p^78*q^1016+922217507978*p^76*q^1018+100562886365*p^74*q^1020+ 8065450012*p^72*q^1022+555101158*p^70*q^1024+34626504*p^68*q^1026+1630665*p^66* q^1028+122364*p^64*q^1030+4708*p^62*q^1032+20*p^97*q^996+2964*p^95*q^998+437750 *p^93*q^1000+5823859*p^91*q^1002+136773280*p^89*q^1004+2081199780*p^87*q^1006+ 27897695252*p^85*q^1008+315364616639*p^83*q^1010+2145869869402*p^81*q^1012+ 4684679259676*p^79*q^1014+2247304056350*p^77*q^1016+342908475726*p^75*q^1018+ 31149776418*p^73*q^1020+2305608132*p^71*q^1022+146718010*p^69*q^1024+8916028*p^ 67*q^1026+299752*p^65*q^1028+68912*p^63*q^1030+80*p^61*q^1032+120*p^98*q^994+4* p^96*q^996+35616*p^94*q^998+1636996*p^92*q^1000+28712088*p^90*q^1002+497642745* p^88*q^1004+7200188118*p^86*q^1006+91079405068*p^84*q^1008+863463132162*p^82*q^ 1010+3725957541317*p^80*q^1012+3971472424502*p^78*q^1014+1019829056870*p^76*q^ 1016+113969833832*p^74*q^1018+9216092770*p^72*q^1020+637599052*p^70*q^1022+ 39479034*p^68*q^1024+1875320*p^66*q^1026+76000*p^64*q^1028+3980*p^62*q^1030+112 *p^97*q^994+1248*p^95*q^996+341992*p^93*q^998+4743008*p^91*q^1000+120040026*p^ 89*q^1002+1803910602*p^87*q^1004+24463724981*p^85*q^1006+280638614584*p^83*q^ 1008+1988337980184*p^81*q^1010+4677270680150*p^79*q^1012+2417890004887*p^77*q^ 1014+384642655254*p^75*q^1016+35478674838*p^73*q^1018+2642340364*p^71*q^1020+ 169620818*p^69*q^1022+10505398*p^67*q^1024+395050*p^65*q^1026+62964*p^63*q^1028 +644*p^61*q^1030+8*p^98*q^992+276*p^96*q^994+27210*p^94*q^996+1548590*p^92*q^ 998+23905720*p^90*q^1000+432758528*p^88*q^1002+6314299023*p^86*q^1004+ 80344796414*p^84*q^1006+779723411742*p^82*q^1008+3565117350214*p^80*q^1010+ 4119841601775*p^78*q^1012+1124196039364*p^76*q^1014+129191998496*p^74*q^1016+ 10551971478*p^72*q^1018+736607026*p^70*q^1020+44701020*p^68*q^1022+2410849*p^66 *q^1024+54904*p^64*q^1026+16901*p^62*q^1028+768*p^97*q^992+268*p^95*q^994+ 217060*p^93*q^996+4604648*p^91*q^998+103212988*p^89*q^1000+1568745037*p^87*q^ 1002+21442184118*p^85*q^1004+249303343164*p^83*q^1006+1836029822330*p^81*q^1008 +4647432867310*p^79*q^1010+2594272592068*p^77*q^1012+431435148250*p^75*q^1014+ 40418831388*p^73*q^1016+3034754044*p^71*q^1018+198156174*p^69*q^1020+12435090*p ^67*q^1022+431114*p^65*q^1024+49422*p^63*q^1026+152*p^61*q^1028+8*p^98*q^990+ 290*p^96*q^992+15974*p^94*q^994+1400500*p^92*q^996+19159638*p^90*q^998+ 376326591*p^88*q^1000+5514194920*p^86*q^1002+70693085928*p^84*q^1004+ 702426732820*p^82*q^1006+3395756418733*p^80*q^1008+4258319383782*p^78*q^1010+ 1237871802638*p^76*q^1012+146144048040*p^74*q^1014+12078743080*p^72*q^1016+ 847110536*p^70*q^1018+50207422*p^68*q^1020+2993620*p^66*q^1022+81941*p^64*q^ 1024+21950*p^62*q^1026+40*p^60*q^1028+292*p^97*q^990+1692*p^95*q^992+167304*p^ 93*q^994+4458826*p^91*q^996+87387320*p^89*q^998+1362648172*p^87*q^1000+ 18777105855*p^85*q^1002+221256007092*p^83*q^1004+1691504940676*p^81*q^1006+ 4596713940324*p^79*q^1008+2774359704735*p^77*q^1010+482740432910*p^75*q^1012+ 46002959174*p^73*q^1014+3470952848*p^71*q^1016+229158210*p^69*q^1018+14307796*p ^67*q^1020+542770*p^65*q^1022+17300*p^63*q^1024+2195*p^61*q^1026+2644*p^96*q^ 990+5692*p^94*q^992+1083536*p^92*q^994+15893666*p^90*q^996+331630784*p^88*q^998 +4814815093*p^86*q^1000+62293326250*p^84*q^1002+632140064533*p^82*q^1004+ 3224743500944*p^80*q^1006+4375720025427*p^78*q^1008+1359104079252*p^76*q^1010+ 165320016311*p^74*q^1012+13807136312*p^72*q^1014+974366460*p^70*q^1016+58640130 *p^68*q^1018+3649532*p^66*q^1020+89768*p^64*q^1022+26646*p^62*q^1024+128*p^97*q ^988+1224*p^95*q^990+123370*p^93*q^992+4375082*p^91*q^994+73988598*p^89*q^996+ 1179728734*p^87*q^998+16465064842*p^85*q^1000+196114780148*p^83*q^1002+ 1553271011022*p^81*q^1004+4529061924029*p^79*q^1006+2954288403454*p^77*q^1008+ 539968906802*p^75*q^1010+52382590888*p^73*q^1012+3992653171*p^71*q^1014+ 267297374*p^69*q^1016+15511062*p^67*q^1018+744800*p^65*q^1020+12942*p^63*q^1022 +4928*p^61*q^1024+2734*p^96*q^988+7230*p^94*q^990+821892*p^92*q^992+13870370*p^ 90*q^994+287456002*p^88*q^996+4202446414*p^86*q^998+54703349094*p^84*q^1000+ 566998709646*p^82*q^1002+3049818207770*p^80*q^1004+4486203908976*p^78*q^1006+ 1487973915131*p^76*q^1008+186936416288*p^74*q^1010+15764231846*p^72*q^1012+ 1117670744*p^70*q^1014+68152658*p^68*q^1016+4649258*p^66*q^1018+101626*p^64*q^ 1020+14644*p^62*q^1022+105*p^60*q^1024+32*p^97*q^986+5276*p^95*q^988+65168*p^93 *q^990+3987794*p^91*q^992+60747260*p^89*q^994+1028762870*p^87*q^996+14402328007 *p^85*q^998+173743195394*p^83*q^1000+1421892232772*p^81*q^1002+4443171636688*p^ 79*q^1004+3137840651480*p^77*q^1006+602210367332*p^75*q^1008+59475193322*p^73*q ^1010+4576617992*p^71*q^1012+307141452*p^69*q^1014+16969668*p^67*q^1016+909542* p^65*q^1018+17552*p^63*q^1020+7936*p^61*q^1022+1212*p^96*q^986+8850*p^94*q^988+ 659044*p^92*q^990+12697348*p^90*q^992+250184856*p^88*q^994+3663516945*p^86*q^ 996+48138963880*p^84*q^998+508546850919*p^82*q^1000+2872862212346*p^80*q^1002+ 4573411545419*p^78*q^1004+1625767784632*p^76*q^1006+210919064133*p^74*q^1008+ 18046146884*p^72*q^1010+1282035351*p^70*q^1012+80942966*p^68*q^1014+5323966*p^ 66*q^1016+149904*p^64*q^1018+2416*p^62*q^1020+710*p^60*q^1022+11612*p^95*q^986+ 40056*p^93*q^988+3323538*p^91*q^990+51150258*p^89*q^992+898251383*p^87*q^994+ 12632170950*p^85*q^996+153656580296*p^83*q^998+1299308049112*p^81*q^1000+ 4335818915959*p^79*q^1002+3318792078234*p^77*q^1004+671383761492*p^75*q^1006+ 67742531570*p^73*q^1008+5245418353*p^71*q^1010+355828798*p^69*q^1012+19358876*p ^67*q^1014+1265978*p^65*q^1016+15728*p^63*q^1018+9768*p^61*q^1020+744*p^96*q^ 984+8428*p^94*q^986+463176*p^92*q^988+12073510*p^90*q^990+213261660*p^88*q^992+ 3183011198*p^86*q^994+42228769670*p^84*q^996+454614862952*p^82*q^998+ 2698336441677*p^80*q^1000+4644936653536*p^78*q^1002+1770871443019*p^76*q^1004+ 238036965386*p^74*q^1006+20563401206*p^72*q^1008+1476998516*p^70*q^1010+ 94239160*p^68*q^1012+5532522*p^66*q^1014+191708*p^64*q^1016+2808*p^62*q^1018+ 1104*p^60*q^1020+8*p^97*q^982+7992*p^95*q^984+48300*p^93*q^986+2732480*p^91*q^ 988+42462303*p^89*q^990+785591342*p^87*q^992+11046069652*p^85*q^994+ 135816936028*p^83*q^996+1183575889491*p^81*q^998+4220152520398*p^79*q^1000+ 3496205212431*p^77*q^1002+746468491518*p^75*q^1004+76818766119*p^73*q^1006+ 6015895626*p^71*q^1008+404784861*p^69*q^1010+22624478*p^67*q^1012+1735156*p^65* q^1014+23820*p^63*q^1016+1894*p^61*q^1018+50*p^59*q^1020+52*p^96*q^982+26986*p^ 94*q^984+287208*p^92*q^986+11013442*p^90*q^988+183398906*p^88*q^990+2775389281* p^86*q^992+37134111082*p^84*q^994+406337737950*p^82*q^996+2523976696966*p^80*q^ 998+4696743604494*p^78*q^1000+1922930629882*p^76*q^1002+268137381380*p^74*q^ 1004+23494298558*p^72*q^1006+1699634432*p^70*q^1008+110811286*p^68*q^1010+ 5845650*p^66*q^1012+257652*p^64*q^1014+2204*p^62*q^1016+3680*p^60*q^1018+6618*p ^95*q^982+31604*p^93*q^984+2257642*p^91*q^986+37685614*p^89*q^988+683748078*p^ 87*q^990+9665541436*p^85*q^992+119989011690*p^83*q^994+1075162127992*p^81*q^996 +4085372238754*p^79*q^998+3671200619944*p^77*q^1000+828770306651*p^75*q^1002+ 87304099178*p^73*q^1004+6903949147*p^71*q^1006+466763976*p^69*q^1008+27166230*p ^67*q^1010+1978628*p^65*q^1012+32928*p^63*q^1014+272*p^61*q^1016+48*p^59*q^1018 +168*p^96*q^980+31488*p^94*q^982+235226*p^92*q^984+9496390*p^90*q^986+153162144 *p^88*q^988+2417814654*p^86*q^990+32550970490*p^84*q^992+362199513620*p^82*q^ 994+2352981257496*p^80*q^996+4729420979718*p^78*q^998+2083592110433*p^76*q^1000 +301822280730*p^74*q^1002+26792261856*p^72*q^1004+1948498110*p^70*q^1006+ 128009320*p^68*q^1008+6160864*p^66*q^1010+427498*p^64*q^1012+2744*p^62*q^1014+ 1542*p^60*q^1016+1956*p^95*q^980+48432*p^93*q^982+1658000*p^91*q^984+34000110*p ^89*q^986+595262352*p^87*q^988+8440322628*p^85*q^990+105845236674*p^83*q^992+ 975481292212*p^81*q^994+3938482316270*p^79*q^996+3839600353024*p^77*q^998+ 917922589000*p^75*q^1000+99003362779*p^73*q^1002+7883895562*p^71*q^1004+ 537122910*p^69*q^1006+32145622*p^67*q^1008+2149664*p^65*q^1010+42420*p^63*q^ 1012+288*p^61*q^1014+716*p^59*q^1016+24*p^96*q^978+32922*p^94*q^980+183350*p^92 *q^982+8331238*p^90*q^984+129725904*p^88*q^986+2114542129*p^86*q^988+ 28583885762*p^84*q^990+322820343124*p^82*q^992+2187368147996*p^80*q^994+ 4737593429945*p^78*q^996+2249185773116*p^76*q^998+339403311243*p^74*q^1000+ 30532729546*p^72*q^1002+2248569151*p^70*q^1004+146371960*p^68*q^1006+7253272*p^ 66*q^1008+586298*p^64*q^1010+4376*p^62*q^1012+12*p^60*q^1014+1614*p^95*q^978+ 74616*p^93*q^980+1214732*p^91*q^982+30139170*p^89*q^984+516283468*p^87*q^986+ 7369287524*p^85*q^988+93334511692*p^83*q^990+882384965686*p^81*q^992+ 3784244157177*p^79*q^994+3994806086764*p^77*q^996+1015519068355*p^75*q^998+ 112299262480*p^73*q^1000+9054304400*p^71*q^1002+616179422*p^69*q^1004+39086656* p^67*q^1006+2042682*p^65*q^1008+71652*p^63*q^1010+172*p^61*q^1012+752*p^59*q^ 1014+20176*p^94*q^978+150236*p^92*q^980+7038770*p^90*q^982+112316003*p^88*q^984 +1840818260*p^86*q^986+25057474039*p^84*q^988+286907580192*p^82*q^990+ 2026288617330*p^80*q^992+4730699964860*p^78*q^994+2420346226792*p^76*q^996+ 381067767588*p^74*q^998+34824620670*p^72*q^1000+2580987966*p^70*q^1002+ 168931148*p^68*q^1004+8373956*p^66*q^1006+775690*p^64*q^1008+6036*p^62*q^1010+ 20*p^60*q^1012+56*p^58*q^1014+678*p^95*q^976+100728*p^93*q^978+947890*p^91*q^ 980+26451210*p^89*q^982+439997968*p^87*q^984+6436081526*p^85*q^986+82203671620* p^83*q^988+796122501501*p^81*q^990+3621455507136*p^79*q^992+4147987036465*p^77* q^994+1118982384722*p^75*q^996+127217196680*p^73*q^998+10330873332*p^71*q^1000+ 709372136*p^69*q^1002+44900190*p^67*q^1004+2068614*p^65*q^1006+119160*p^63*q^ 1008+472*p^61*q^1010+11376*p^94*q^976+160974*p^92*q^978+5595294*p^90*q^980+ 97754116*p^88*q^982+1614081238*p^86*q^984+21984005820*p^84*q^986+255134729880*p ^82*q^988+1870794052492*p^80*q^990+4699151501868*p^78*q^992+2596736905774*p^76* q^994+427104412249*p^74*q^996+39625224880*p^72*q^998+2969428331*p^70*q^1000+ 193110060*p^68*q^1002+10611244*p^66*q^1004+823712*p^64*q^1006+8776*p^62*q^1008+ 4*p^60*q^1010+212*p^58*q^1012+98*p^95*q^974+100624*p^93*q^976+727708*p^91*q^978 +23846776*p^89*q^980+378591283*p^87*q^982+5627448198*p^85*q^984+72408414374*p^ 83*q^986+717656270392*p^81*q^988+3446729126726*p^79*q^990+4283287541912*p^77*q^ 992+1233028299748*p^75*q^994+144105464902*p^73*q^996+11852862108*p^71*q^998+ 821126352*p^69*q^1000+53151432*p^67*q^1002+2139028*p^65*q^1004+200608*p^63*q^ 1006+556*p^61*q^1008+16*p^96*q^972+8420*p^94*q^974+208758*p^92*q^976+4382430*p^ 90*q^978+84095248*p^88*q^980+1400723064*p^86*q^982+19214770262*p^84*q^984+ 226223322070*p^82*q^986+1723101069987*p^80*q^988+4647857950450*p^78*q^990+ 2776864156732*p^76*q^992+478397828682*p^74*q^994+45123004709*p^72*q^996+ 3401709068*p^70*q^998+220425130*p^68*q^1000+12771736*p^66*q^1002+772530*p^64*q^ 1004+15448*p^62*q^1006+32*p^60*q^1008+64*p^95*q^972+65330*p^93*q^974+604440*p^ 91*q^976+20578836*p^89*q^978+326939824*p^87*q^980+4908086744*p^85*q^982+ 63731759748*p^83*q^984+645275432990*p^81*q^986+3275036317234*p^79*q^988+ 4403595185327*p^77*q^990+1353105857514*p^75*q^992+162951455225*p^73*q^994+ 13508895330*p^71*q^996+945655703*p^69*q^998+60798248*p^67*q^1000+2461876*p^65*q ^1002+285480*p^63*q^1004+1096*p^61*q^1006+32*p^57*q^1010+2316*p^94*q^972+296586 *p^92*q^974+3419774*p^90*q^976+74641614*p^88*q^978+1216451279*p^86*q^980+ 16862259542*p^84*q^982+200596886432*p^82*q^984+1582128562924*p^80*q^986+ 4578853084571*p^78*q^988+2957272422722*p^76*q^990+534755143217*p^74*q^992+ 51374910680*p^72*q^994+3918457458*p^70*q^996+253367872*p^68*q^998+15584498*p^66 *q^1000+738628*p^64*q^1002+31078*p^62*q^1004+20*p^60*q^1006+224*p^95*q^970+ 56874*p^93*q^972+496361*p^91*q^974+17384304*p^89*q^976+280265396*p^87*q^978+ 4296834208*p^85*q^980+56009667289*p^83*q^982+578994620700*p^81*q^984+ 3095608167772*p^79*q^986+4512053190644*p^77*q^988+1481689514709*p^75*q^990+ 184348373556*p^73*q^992+15442119935*p^71*q^994+1090547226*p^69*q^996+69871786*p ^67*q^998+3191766*p^65*q^1000+293330*p^63*q^1002+1096*p^61*q^1004+1340*p^94*q^ 970+259114*p^92*q^972+2813484*p^90*q^974+65537044*p^88*q^976+1055678062*p^86*q^ 978+14743586260*p^84*q^980+177607581614*p^82*q^982+1448145973721*p^80*q^984+ 4490943545940*p^78*q^986+3140466766614*p^76*q^988+596910092118*p^74*q^990+ 58432234007*p^72*q^992+4493535324*p^70*q^994+292479158*p^68*q^996+18524876*p^66 *q^998+604662*p^64*q^1000+69860*p^62*q^1002+116*p^60*q^1004+2*p^56*q^1008+28*p^ 95*q^968+26534*p^93*q^970+649732*p^91*q^972+14064754*p^89*q^974+241475672*p^87* q^976+3745201377*p^85*q^978+49205996730*p^83*q^980+518766428393*p^81*q^982+ 2916230324478*p^79*q^984+4603377252749*p^77*q^986+1618607675346*p^75*q^988+ 207962946903*p^73*q^990+17639221434*p^71*q^992+1255671792*p^69*q^994+78906152*p ^67*q^996+3927112*p^65*q^998+329242*p^63*q^1000+2396*p^61*q^1002+4*p^98*q^964+ 1434*p^94*q^968+246558*p^92*q^970+2082620*p^90*q^972+58371642*p^88*q^974+ 916132481*p^86*q^976+12921893270*p^84*q^978+157218653482*p^82*q^980+ 1323063166840*p^80*q^982+4383500258792*p^78*q^984+3321778967680*p^76*q^986+ 664945724773*p^74*q^988+66452264672*p^72*q^990+5133850794*p^70*q^992+338483636* p^68*q^994+21829636*p^66*q^996+701810*p^64*q^998+80612*p^62*q^1000+24*p^60*q^ 1002+4*p^95*q^966+15522*p^93*q^968+720122*p^91*q^970+11749808*p^89*q^972+ 209238292*p^87*q^974+3268968092*p^85*q^976+43268338603*p^83*q^978+464104095260* p^81*q^980+2737144486810*p^79*q^982+4670469573092*p^77*q^984+1763944641673*p^75 *q^986+234783471392*p^73*q^988+20144983750*p^71*q^990+1459096240*p^69*q^992+ 89839510*p^67*q^994+5049848*p^65*q^996+259398*p^63*q^998+11016*p^61*q^1000+4*p^ 59*q^1002+896*p^94*q^966+174882*p^92*q^968+1805106*p^90*q^970+50029462*p^88*q^ 972+789419130*p^86*q^974+11291500406*p^84*q^976+138760403542*p^82*q^978+ 1204941120283*p^80*q^980+4264362312286*p^78*q^982+3499301086186*p^76*q^984+ 740101174396*p^74*q^986+75485208660*p^72*q^988+5888208576*p^70*q^990+388591858* p^68*q^992+25472400*p^66*q^994+836548*p^64*q^996+114742*p^62*q^998+56*p^60*q^ 1000+56*p^97*q^962+4*p^95*q^964+9266*p^93*q^966+740392*p^91*q^968+9407751*p^89* q^970+182964278*p^87*q^972+2850560824*p^85*q^974+37966758386*p^83*q^976+ 414573111696*p^81*q^978+2561906218480*p^79*q^980+4725007482221*p^77*q^982+ 1914418243992*p^75*q^984+264448767779*p^73*q^986+22973306852*p^71*q^988+ 1670453033*p^69*q^990+102867628*p^67*q^992+6060930*p^65*q^994+188928*p^63*q^996 +15516*p^61*q^998+134*p^94*q^964+111966*p^92*q^966+1869484*p^90*q^968+42542884* p^88*q^970+683798420*p^86*q^972+9885269414*p^84*q^974+122655330878*p^82*q^976+ 1094545692192*p^80*q^978+4128912465964*p^78*q^980+3674424942084*p^76*q^982+ 820888063938*p^74*q^984+85747389068*p^72*q^986+6744401013*p^70*q^988+454853602* p^68*q^990+28615188*p^66*q^992+1156160*p^64*q^994+130432*p^62*q^996+908*p^60*q^ 998+8*p^97*q^960+8432*p^93*q^964+711136*p^91*q^966+7349276*p^89*q^968+161586967 *p^87*q^970+2486274132*p^85*q^972+33339247306*p^83*q^974+369759139708*p^81*q^ 976+2386622510646*p^79*q^978+4755705626966*p^77*q^980+2074607886409*p^75*q^982+ 297875349926*p^73*q^984+26237626032*p^71*q^986+1918868968*p^69*q^988+117680608* p^67*q^990+7720590*p^65*q^992+173062*p^63*q^994+23300*p^61*q^996+316*p^96*q^960 +160*p^94*q^962+71866*p^92*q^964+1833692*p^90*q^966+36435482*p^88*q^968+ 586815826*p^86*q^970+8634903786*p^84*q^972+108108890064*p^82*q^974+992566213886 *p^80*q^976+3979100695534*p^78*q^978+3841893770387*p^76*q^980+910259435946*p^74 *q^982+97280878583*p^72*q^984+7716420444*p^70*q^986+529469168*p^68*q^988+ 32439820*p^66*q^990+1412192*p^64*q^992+93416*p^62*q^994+2400*p^60*q^996+4*p^95* q^960+2850*p^93*q^962+545066*p^91*q^964+6309662*p^89*q^966+139239940*p^87*q^968 +2163525067*p^85*q^970+29232729292*p^83*q^972+329255622811*p^81*q^974+ 2219718036876*p^79*q^976+4765984805279*p^77*q^978+2239339694502*p^75*q^980+ 334657930269*p^73*q^982+29891958092*p^71*q^984+2199696609*p^69*q^986+134455516* p^67*q^988+9009288*p^65*q^990+215940*p^63*q^992+44270*p^61*q^994+24*p^59*q^996+ 200*p^96*q^958+22*p^94*q^960+49796*p^92*q^962+2002000*p^90*q^964+29734594*p^88* q^966+514234694*p^86*q^968+7555113118*p^84*q^970+95415450753*p^82*q^972+ 897839423016*p^80*q^974+3823691513208*p^78*q^976+3998290148050*p^76*q^978+ 1005863541683*p^74*q^980+110370804752*p^72*q^982+8844236687*p^70*q^984+ 612652968*p^68*q^986+36542222*p^66*q^988+1923760*p^64*q^990+62194*p^62*q^992+ 2192*p^60*q^994+920*p^95*q^958+2240*p^93*q^960+424178*p^91*q^962+5444390*p^89*q ^964+122654168*p^87*q^966+1874835046*p^85*q^968+25659496024*p^83*q^970+ 292749499934*p^81*q^972+2054731543434*p^79*q^974+4756554077216*p^77*q^976+ 2410455069542*p^75*q^978+376012266068*p^73*q^980+34097212055*p^71*q^982+ 2527953940*p^69*q^984+158764670*p^67*q^986+10609824*p^65*q^988+281744*p^63*q^ 990+43876*p^61*q^992+256*p^59*q^994+12*p^96*q^956+82*p^94*q^958+31772*p^92*q^ 960+1859296*p^90*q^962+24501924*p^88*q^964+443131600*p^86*q^966+6602832233*p^84 *q^968+83986337892*p^82*q^970+810219138531*p^80*q^972+3656786685552*p^78*q^974+ 4149845440160*p^76*q^976+1109463983950*p^74*q^978+125046655440*p^72*q^980+ 10110437906*p^70*q^982+704691761*p^68*q^984+40184068*p^66*q^986+2469422*p^64*q^ 988+37456*p^62*q^990+8692*p^60*q^992+1576*p^95*q^956+676*p^93*q^958+268348*p^91 *q^960+5214552*p^89*q^962+105126822*p^87*q^964+1630974942*p^85*q^966+ 22462707020*p^83*q^968+260184875941*p^81*q^970+1897383299770*p^79*q^972+ 4725886222070*p^77*q^974+2585429725846*p^75*q^976+421571387916*p^73*q^978+ 38809853096*p^71*q^980+2896865455*p^69*q^982+187242724*p^67*q^984+11999940*p^65 *q^986+362446*p^63*q^988+37588*p^61*q^990+56*p^59*q^992+8*p^96*q^954+1484*p^94* q^956+19354*p^92*q^958+1695412*p^90*q^960+20407400*p^88*q^962+387988194*p^86*q^ 964+5768116630*p^84*q^966+74018175487*p^82*q^968+730209904450*p^80*q^970+ 3483086544777*p^78*q^972+4285618681626*p^76*q^974+1221277554340*p^74*q^976+ 141545993136*p^72*q^978+11571798028*p^70*q^980+811638064*p^68*q^982+45211586*p^ 66*q^984+3133718*p^64*q^986+49620*p^62*q^988+12632*p^60*q^990+12*p^58*q^992+400 *p^95*q^954+864*p^93*q^956+210792*p^91*q^958+5100276*p^89*q^960+89439184*p^87*q ^962+1414585610*p^85*q^964+19700442696*p^83*q^966+230819216912*p^81*q^968+ 1747148962968*p^79*q^970+4671636571750*p^77*q^972+2764755286234*p^75*q^974+ 472151174652*p^73*q^976+44241898247*p^71*q^978+3329381604*p^69*q^980+219125512* p^67*q^982+13432766*p^65*q^984+545812*p^63*q^986+15160*p^61*q^988+864*p^59*q^ 990+5812*p^94*q^954+10662*p^92*q^956+1271542*p^90*q^958+17157714*p^88*q^960+ 339268988*p^86*q^962+5029187183*p^84*q^964+65083592524*p^82*q^966+656275005299* p^80*q^968+3306483125526*p^78*q^970+4405730092314*p^76*q^972+1341542498366*p^74 *q^974+160237641119*p^72*q^976+13227821578*p^70*q^978+929224850*p^68*q^980+ 53323570*p^66*q^982+3777670*p^64*q^984+50976*p^62*q^986+16576*p^60*q^988+200*p^ 95*q^952+1812*p^93*q^954+134486*p^91*q^956+5021450*p^89*q^958+75287712*p^87*q^ 960+1222481769*p^85*q^962+17246527716*p^83*q^964+204472871386*p^81*q^966+ 1604722145642*p^79*q^968+4604540885340*p^77*q^970+2943742644702*p^75*q^972+ 527641244565*p^73*q^974+50315923874*p^71*q^976+3815963947*p^69*q^978+254353554* p^67*q^980+13915828*p^65*q^982+740372*p^63*q^984+7278*p^61*q^986+2100*p^59*q^ 988+3880*p^94*q^952+6560*p^92*q^954+1000934*p^90*q^956+15147458*p^88*q^958+ 295366012*p^86*q^960+4400343942*p^84*q^962+57281354775*p^82*q^964+589121997192* p^80*q^966+3126934933259*p^78*q^968+4514247915620*p^76*q^970+1467467515353*p^74 *q^972+181166937420*p^72*q^974+15102861666*p^70*q^976+1069485784*p^68*q^978+ 63324907*p^66*q^980+4573040*p^64*q^982+92538*p^62*q^984+11504*p^60*q^986+28*p^ 58*q^988+28*p^95*q^950+11504*p^93*q^952+92538*p^91*q^954+4573040*p^89*q^956+ 63324907*p^87*q^958+1069485784*p^85*q^960+15102861666*p^83*q^962+181166937420*p ^81*q^964+1467467515353*p^79*q^966+4514247915620*p^77*q^968+3126934933259*p^75* q^970+589121997192*p^73*q^972+57281354775*p^71*q^974+4400343942*p^69*q^976+ 295366012*p^67*q^978+15147458*p^65*q^980+1000934*p^63*q^982+6560*p^61*q^984+ 3880*p^59*q^986+2100*p^94*q^950+7278*p^92*q^952+740372*p^90*q^954+13915828*p^88 *q^956+254353554*p^86*q^958+3815963947*p^84*q^960+50315923874*p^82*q^962+ 527641244565*p^80*q^964+2943742644702*p^78*q^966+4604540885340*p^76*q^968+ 1604722145642*p^74*q^970+204472871386*p^72*q^972+17246527716*p^70*q^974+ 1222481769*p^68*q^976+75287712*p^66*q^978+5021450*p^64*q^980+134486*p^62*q^982+ 1812*p^60*q^984+200*p^58*q^986+16576*p^93*q^950+50976*p^91*q^952+3777670*p^89*q ^954+53323570*p^87*q^956+929224850*p^85*q^958+13227821578*p^83*q^960+ 160237641119*p^81*q^962+1341542498366*p^79*q^964+4405730092314*p^77*q^966+ 3306483125526*p^75*q^968+656275005299*p^73*q^970+65083592524*p^71*q^972+ 5029187183*p^69*q^974+339268988*p^67*q^976+17157714*p^65*q^978+1271542*p^63*q^ 980+10662*p^61*q^982+5812*p^59*q^984+864*p^94*q^948+15160*p^92*q^950+545812*p^ 90*q^952+13432766*p^88*q^954+219125512*p^86*q^956+3329381604*p^84*q^958+ 44241898247*p^82*q^960+472151174652*p^80*q^962+2764755286234*p^78*q^964+ 4671636571750*p^76*q^966+1747148962968*p^74*q^968+230819216912*p^72*q^970+ 19700442696*p^70*q^972+1414585610*p^68*q^974+89439184*p^66*q^976+5100276*p^64*q ^978+210792*p^62*q^980+864*p^60*q^982+400*p^58*q^984+12*p^95*q^946+12632*p^93*q ^948+49620*p^91*q^950+3133718*p^89*q^952+45211586*p^87*q^954+811638064*p^85*q^ 956+11571798028*p^83*q^958+141545993136*p^81*q^960+1221277554340*p^79*q^962+ 4285618681626*p^77*q^964+3483086544777*p^75*q^966+730209904450*p^73*q^968+ 74018175487*p^71*q^970+5768116630*p^69*q^972+387988194*p^67*q^974+20407400*p^65 *q^976+1695412*p^63*q^978+19354*p^61*q^980+1484*p^59*q^982+8*p^57*q^984+56*p^94 *q^946+37588*p^92*q^948+362446*p^90*q^950+11999940*p^88*q^952+187242724*p^86*q^ 954+2896865455*p^84*q^956+38809853096*p^82*q^958+421571387916*p^80*q^960+ 2585429725846*p^78*q^962+4725886222070*p^76*q^964+1897383299770*p^74*q^966+ 260184875941*p^72*q^968+22462707020*p^70*q^970+1630974942*p^68*q^972+105126822* p^66*q^974+5214552*p^64*q^976+268348*p^62*q^978+676*p^60*q^980+1576*p^58*q^982+ 8692*p^93*q^946+37456*p^91*q^948+2469422*p^89*q^950+40184068*p^87*q^952+ 704691761*p^85*q^954+10110437906*p^83*q^956+125046655440*p^81*q^958+ 1109463983950*p^79*q^960+4149845440160*p^77*q^962+3656786685552*p^75*q^964+ 810219138531*p^73*q^966+83986337892*p^71*q^968+6602832233*p^69*q^970+443131600* p^67*q^972+24501924*p^65*q^974+1859296*p^63*q^976+31772*p^61*q^978+82*p^59*q^ 980+12*p^57*q^982+256*p^94*q^944+43876*p^92*q^946+281744*p^90*q^948+10609824*p^ 88*q^950+158764670*p^86*q^952+2527953940*p^84*q^954+34097212055*p^82*q^956+ 376012266068*p^80*q^958+2410455069542*p^78*q^960+4756554077216*p^76*q^962+ 2054731543434*p^74*q^964+292749499934*p^72*q^966+25659496024*p^70*q^968+ 1874835046*p^68*q^970+122654168*p^66*q^972+5444390*p^64*q^974+424178*p^62*q^976 +2240*p^60*q^978+920*p^58*q^980+2192*p^93*q^944+62194*p^91*q^946+1923760*p^89*q ^948+36542222*p^87*q^950+612652968*p^85*q^952+8844236687*p^83*q^954+ 110370804752*p^81*q^956+1005863541683*p^79*q^958+3998290148050*p^77*q^960+ 3823691513208*p^75*q^962+897839423016*p^73*q^964+95415450753*p^71*q^966+ 7555113118*p^69*q^968+514234694*p^67*q^970+29734594*p^65*q^972+2002000*p^63*q^ 974+49796*p^61*q^976+22*p^59*q^978+200*p^57*q^980+24*p^94*q^942+44270*p^92*q^ 944+215940*p^90*q^946+9009288*p^88*q^948+134455516*p^86*q^950+2199696609*p^84*q ^952+29891958092*p^82*q^954+334657930269*p^80*q^956+2239339694502*p^78*q^958+ 4765984805279*p^76*q^960+2219718036876*p^74*q^962+329255622811*p^72*q^964+ 29232729292*p^70*q^966+2163525067*p^68*q^968+139239940*p^66*q^970+6309662*p^64* q^972+545066*p^62*q^974+2850*p^60*q^976+4*p^58*q^978+2400*p^93*q^942+93416*p^91 *q^944+1412192*p^89*q^946+32439820*p^87*q^948+529469168*p^85*q^950+7716420444*p ^83*q^952+97280878583*p^81*q^954+910259435946*p^79*q^956+3841893770387*p^77*q^ 958+3979100695534*p^75*q^960+992566213886*p^73*q^962+108108890064*p^71*q^964+ 8634903786*p^69*q^966+586815826*p^67*q^968+36435482*p^65*q^970+1833692*p^63*q^ 972+71866*p^61*q^974+160*p^59*q^976+316*p^57*q^978+23300*p^92*q^942+173062*p^90 *q^944+7720590*p^88*q^946+117680608*p^86*q^948+1918868968*p^84*q^950+ 26237626032*p^82*q^952+297875349926*p^80*q^954+2074607886409*p^78*q^956+ 4755705626966*p^76*q^958+2386622510646*p^74*q^960+369759139708*p^72*q^962+ 33339247306*p^70*q^964+2486274132*p^68*q^966+161586967*p^66*q^968+7349276*p^64* q^970+711136*p^62*q^972+8432*p^60*q^974+8*p^56*q^978+908*p^93*q^940+130432*p^91 *q^942+1156160*p^89*q^944+28615188*p^87*q^946+454853602*p^85*q^948+6744401013*p ^83*q^950+85747389068*p^81*q^952+820888063938*p^79*q^954+3674424942084*p^77*q^ 956+4128912465964*p^75*q^958+1094545692192*p^73*q^960+122655330878*p^71*q^962+ 9885269414*p^69*q^964+683798420*p^67*q^966+42542884*p^65*q^968+1869484*p^63*q^ 970+111966*p^61*q^972+134*p^59*q^974+15516*p^92*q^940+188928*p^90*q^942+6060930 *p^88*q^944+102867628*p^86*q^946+1670453033*p^84*q^948+22973306852*p^82*q^950+ 264448767779*p^80*q^952+1914418243992*p^78*q^954+4725007482221*p^76*q^956+ 2561906218480*p^74*q^958+414573111696*p^72*q^960+37966758386*p^70*q^962+ 2850560824*p^68*q^964+182964278*p^66*q^966+9407751*p^64*q^968+740392*p^62*q^970 +9266*p^60*q^972+4*p^58*q^974+56*p^56*q^976+56*p^93*q^938+114742*p^91*q^940+ 836548*p^89*q^942+25472400*p^87*q^944+388591858*p^85*q^946+5888208576*p^83*q^ 948+75485208660*p^81*q^950+740101174396*p^79*q^952+3499301086186*p^77*q^954+ 4264362312286*p^75*q^956+1204941120283*p^73*q^958+138760403542*p^71*q^960+ 11291500406*p^69*q^962+789419130*p^67*q^964+50029462*p^65*q^966+1805106*p^63*q^ 968+174882*p^61*q^970+896*p^59*q^972+4*p^94*q^936+11016*p^92*q^938+259398*p^90* q^940+5049848*p^88*q^942+89839510*p^86*q^944+1459096240*p^84*q^946+20144983750* p^82*q^948+234783471392*p^80*q^950+1763944641673*p^78*q^952+4670469573092*p^76* q^954+2737144486810*p^74*q^956+464104095260*p^72*q^958+43268338603*p^70*q^960+ 3268968092*p^68*q^962+209238292*p^66*q^964+11749808*p^64*q^966+720122*p^62*q^ 968+15522*p^60*q^970+4*p^58*q^972+24*p^93*q^936+80612*p^91*q^938+701810*p^89*q^ 940+21829636*p^87*q^942+338483636*p^85*q^944+5133850794*p^83*q^946+66452264672* p^81*q^948+664945724773*p^79*q^950+3321778967680*p^77*q^952+4383500258792*p^75* q^954+1323063166840*p^73*q^956+157218653482*p^71*q^958+12921893270*p^69*q^960+ 916132481*p^67*q^962+58371642*p^65*q^964+2082620*p^63*q^966+246558*p^61*q^968+ 1434*p^59*q^970+4*p^55*q^974+2396*p^92*q^936+329242*p^90*q^938+3927112*p^88*q^ 940+78906152*p^86*q^942+1255671792*p^84*q^944+17639221434*p^82*q^946+ 207962946903*p^80*q^948+1618607675346*p^78*q^950+4603377252749*p^76*q^952+ 2916230324478*p^74*q^954+518766428393*p^72*q^956+49205996730*p^70*q^958+ 3745201377*p^68*q^960+241475672*p^66*q^962+14064754*p^64*q^964+649732*p^62*q^ 966+26534*p^60*q^968+28*p^58*q^970+2*p^97*q^930+116*p^93*q^934+69860*p^91*q^936 +604662*p^89*q^938+18524876*p^87*q^940+292479158*p^85*q^942+4493535324*p^83*q^ 944+58432234007*p^81*q^946+596910092118*p^79*q^948+3140466766614*p^77*q^950+ 4490943545940*p^75*q^952+1448145973721*p^73*q^954+177607581614*p^71*q^956+ 14743586260*p^69*q^958+1055678062*p^67*q^960+65537044*p^65*q^962+2813484*p^63*q ^964+259114*p^61*q^966+1340*p^59*q^968+1096*p^92*q^934+293330*p^90*q^936+ 3191766*p^88*q^938+69871786*p^86*q^940+1090547226*p^84*q^942+15442119935*p^82*q ^944+184348373556*p^80*q^946+1481689514709*p^78*q^948+4512053190644*p^76*q^950+ 3095608167772*p^74*q^952+578994620700*p^72*q^954+56009667289*p^70*q^956+ 4296834208*p^68*q^958+280265396*p^66*q^960+17384304*p^64*q^962+496361*p^62*q^ 964+56874*p^60*q^966+224*p^58*q^968+20*p^93*q^932+31078*p^91*q^934+738628*p^89* q^936+15584498*p^87*q^938+253367872*p^85*q^940+3918457458*p^83*q^942+ 51374910680*p^81*q^944+534755143217*p^79*q^946+2957272422722*p^77*q^948+ 4578853084571*p^75*q^950+1582128562924*p^73*q^952+200596886432*p^71*q^954+ 16862259542*p^69*q^956+1216451279*p^67*q^958+74641614*p^65*q^960+3419774*p^63*q ^962+296586*p^61*q^964+2316*p^59*q^966+32*p^96*q^928+1096*p^92*q^932+285480*p^ 90*q^934+2461876*p^88*q^936+60798248*p^86*q^938+945655703*p^84*q^940+ 13508895330*p^82*q^942+162951455225*p^80*q^944+1353105857514*p^78*q^946+ 4403595185327*p^76*q^948+3275036317234*p^74*q^950+645275432990*p^72*q^952+ 63731759748*p^70*q^954+4908086744*p^68*q^956+326939824*p^66*q^958+20578836*p^64 *q^960+604440*p^62*q^962+65330*p^60*q^964+64*p^58*q^966+32*p^93*q^930+15448*p^ 91*q^932+772530*p^89*q^934+12771736*p^87*q^936+220425130*p^85*q^938+3401709068* p^83*q^940+45123004709*p^81*q^942+478397828682*p^79*q^944+2776864156732*p^77*q^ 946+4647857950450*p^75*q^948+1723101069987*p^73*q^950+226223322070*p^71*q^952+ 19214770262*p^69*q^954+1400723064*p^67*q^956+84095248*p^65*q^958+4382430*p^63*q ^960+208758*p^61*q^962+8420*p^59*q^964+16*p^57*q^966+556*p^92*q^930+200608*p^90 *q^932+2139028*p^88*q^934+53151432*p^86*q^936+821126352*p^84*q^938+11852862108* p^82*q^940+144105464902*p^80*q^942+1233028299748*p^78*q^944+4283287541912*p^76* q^946+3446729126726*p^74*q^948+717656270392*p^72*q^950+72408414374*p^70*q^952+ 5627448198*p^68*q^954+378591283*p^66*q^956+23846776*p^64*q^958+727708*p^62*q^ 960+100624*p^60*q^962+98*p^58*q^964+212*p^95*q^926+4*p^93*q^928+8776*p^91*q^930 +823712*p^89*q^932+10611244*p^87*q^934+193110060*p^85*q^936+2969428331*p^83*q^ 938+39625224880*p^81*q^940+427104412249*p^79*q^942+2596736905774*p^77*q^944+ 4699151501868*p^75*q^946+1870794052492*p^73*q^948+255134729880*p^71*q^950+ 21984005820*p^69*q^952+1614081238*p^67*q^954+97754116*p^65*q^956+5595294*p^63*q ^958+160974*p^61*q^960+11376*p^59*q^962+472*p^92*q^928+119160*p^90*q^930+ 2068614*p^88*q^932+44900190*p^86*q^934+709372136*p^84*q^936+10330873332*p^82*q^ 938+127217196680*p^80*q^940+1118982384722*p^78*q^942+4147987036465*p^76*q^944+ 3621455507136*p^74*q^946+796122501501*p^72*q^948+82203671620*p^70*q^950+ 6436081526*p^68*q^952+439997968*p^66*q^954+26451210*p^64*q^956+947890*p^62*q^ 958+100728*p^60*q^960+678*p^58*q^962+56*p^95*q^924+20*p^93*q^926+6036*p^91*q^ 928+775690*p^89*q^930+8373956*p^87*q^932+168931148*p^85*q^934+2580987966*p^83*q ^936+34824620670*p^81*q^938+381067767588*p^79*q^940+2420346226792*p^77*q^942+ 4730699964860*p^75*q^944+2026288617330*p^73*q^946+286907580192*p^71*q^948+ 25057474039*p^69*q^950+1840818260*p^67*q^952+112316003*p^65*q^954+7038770*p^63* q^956+150236*p^61*q^958+20176*p^59*q^960+752*p^94*q^924+172*p^92*q^926+71652*p^ 90*q^928+2042682*p^88*q^930+39086656*p^86*q^932+616179422*p^84*q^934+9054304400 *p^82*q^936+112299262480*p^80*q^938+1015519068355*p^78*q^940+3994806086764*p^76 *q^942+3784244157177*p^74*q^944+882384965686*p^72*q^946+93334511692*p^70*q^948+ 7369287524*p^68*q^950+516283468*p^66*q^952+30139170*p^64*q^954+1214732*p^62*q^ 956+74616*p^60*q^958+1614*p^58*q^960+12*p^93*q^924+4376*p^91*q^926+586298*p^89* q^928+7253272*p^87*q^930+146371960*p^85*q^932+2248569151*p^83*q^934+30532729546 *p^81*q^936+339403311243*p^79*q^938+2249185773116*p^77*q^940+4737593429945*p^75 *q^942+2187368147996*p^73*q^944+322820343124*p^71*q^946+28583885762*p^69*q^948+ 2114542129*p^67*q^950+129725904*p^65*q^952+8331238*p^63*q^954+183350*p^61*q^956 +32922*p^59*q^958+24*p^57*q^960+716*p^94*q^922+288*p^92*q^924+42420*p^90*q^926+ 2149664*p^88*q^928+32145622*p^86*q^930+537122910*p^84*q^932+7883895562*p^82*q^ 934+99003362779*p^80*q^936+917922589000*p^78*q^938+3839600353024*p^76*q^940+ 3938482316270*p^74*q^942+975481292212*p^72*q^944+105845236674*p^70*q^946+ 8440322628*p^68*q^948+595262352*p^66*q^950+34000110*p^64*q^952+1658000*p^62*q^ 954+48432*p^60*q^956+1956*p^58*q^958+1542*p^93*q^922+2744*p^91*q^924+427498*p^ 89*q^926+6160864*p^87*q^928+128009320*p^85*q^930+1948498110*p^83*q^932+ 26792261856*p^81*q^934+301822280730*p^79*q^936+2083592110433*p^77*q^938+ 4729420979718*p^75*q^940+2352981257496*p^73*q^942+362199513620*p^71*q^944+ 32550970490*p^69*q^946+2417814654*p^67*q^948+153162144*p^65*q^950+9496390*p^63* q^952+235226*p^61*q^954+31488*p^59*q^956+168*p^57*q^958+48*p^94*q^920+272*p^92* q^922+32928*p^90*q^924+1978628*p^88*q^926+27166230*p^86*q^928+466763976*p^84*q^ 930+6903949147*p^82*q^932+87304099178*p^80*q^934+828770306651*p^78*q^936+ 3671200619944*p^76*q^938+4085372238754*p^74*q^940+1075162127992*p^72*q^942+ 119989011690*p^70*q^944+9665541436*p^68*q^946+683748078*p^66*q^948+37685614*p^ 64*q^950+2257642*p^62*q^952+31604*p^60*q^954+6618*p^58*q^956+3680*p^93*q^920+ 2204*p^91*q^922+257652*p^89*q^924+5845650*p^87*q^926+110811286*p^85*q^928+ 1699634432*p^83*q^930+23494298558*p^81*q^932+268137381380*p^79*q^934+ 1922930629882*p^77*q^936+4696743604494*p^75*q^938+2523976696966*p^73*q^940+ 406337737950*p^71*q^942+37134111082*p^69*q^944+2775389281*p^67*q^946+183398906* p^65*q^948+11013442*p^63*q^950+287208*p^61*q^952+26986*p^59*q^954+52*p^57*q^956 +50*p^94*q^918+1894*p^92*q^920+23820*p^90*q^922+1735156*p^88*q^924+22624478*p^ 86*q^926+404784861*p^84*q^928+6015895626*p^82*q^930+76818766119*p^80*q^932+ 746468491518*p^78*q^934+3496205212431*p^76*q^936+4220152520398*p^74*q^938+ 1183575889491*p^72*q^940+135816936028*p^70*q^942+11046069652*p^68*q^944+ 785591342*p^66*q^946+42462303*p^64*q^948+2732480*p^62*q^950+48300*p^60*q^952+ 7992*p^58*q^954+8*p^56*q^956+1104*p^93*q^918+2808*p^91*q^920+191708*p^89*q^922+ 5532522*p^87*q^924+94239160*p^85*q^926+1476998516*p^83*q^928+20563401206*p^81*q ^930+238036965386*p^79*q^932+1770871443019*p^77*q^934+4644936653536*p^75*q^936+ 2698336441677*p^73*q^938+454614862952*p^71*q^940+42228769670*p^69*q^942+ 3183011198*p^67*q^944+213261660*p^65*q^946+12073510*p^63*q^948+463176*p^61*q^ 950+8428*p^59*q^952+744*p^57*q^954+9768*p^92*q^918+15728*p^90*q^920+1265978*p^ 88*q^922+19358876*p^86*q^924+355828798*p^84*q^926+5245418353*p^82*q^928+ 67742531570*p^80*q^930+671383761492*p^78*q^932+3318792078234*p^76*q^934+ 4335818915959*p^74*q^936+1299308049112*p^72*q^938+153656580296*p^70*q^940+ 12632170950*p^68*q^942+898251383*p^66*q^944+51150258*p^64*q^946+3323538*p^62*q^ 948+40056*p^60*q^950+11612*p^58*q^952+710*p^93*q^916+2416*p^91*q^918+149904*p^ 89*q^920+5323966*p^87*q^922+80942966*p^85*q^924+1282035351*p^83*q^926+ 18046146884*p^81*q^928+210919064133*p^79*q^930+1625767784632*p^77*q^932+ 4573411545419*p^75*q^934+2872862212346*p^73*q^936+508546850919*p^71*q^938+ 48138963880*p^69*q^940+3663516945*p^67*q^942+250184856*p^65*q^944+12697348*p^63 *q^946+659044*p^61*q^948+8850*p^59*q^950+1212*p^57*q^952+7936*p^92*q^916+17552* p^90*q^918+909542*p^88*q^920+16969668*p^86*q^922+307141452*p^84*q^924+ 4576617992*p^82*q^926+59475193322*p^80*q^928+602210367332*p^78*q^930+ 3137840651480*p^76*q^932+4443171636688*p^74*q^934+1421892232772*p^72*q^936+ 173743195394*p^70*q^938+14402328007*p^68*q^940+1028762870*p^66*q^942+60747260*p ^64*q^944+3987794*p^62*q^946+65168*p^60*q^948+5276*p^58*q^950+32*p^56*q^952+105 *p^93*q^914+14644*p^91*q^916+101626*p^89*q^918+4649258*p^87*q^920+68152658*p^85 *q^922+1117670744*p^83*q^924+15764231846*p^81*q^926+186936416288*p^79*q^928+ 1487973915131*p^77*q^930+4486203908976*p^75*q^932+3049818207770*p^73*q^934+ 566998709646*p^71*q^936+54703349094*p^69*q^938+4202446414*p^67*q^940+287456002* p^65*q^942+13870370*p^63*q^944+821892*p^61*q^946+7230*p^59*q^948+2734*p^57*q^ 950+4928*p^92*q^914+12942*p^90*q^916+744800*p^88*q^918+15511062*p^86*q^920+ 267297374*p^84*q^922+3992653171*p^82*q^924+52382590888*p^80*q^926+539968906802* p^78*q^928+2954288403454*p^76*q^930+4529061924029*p^74*q^932+1553271011022*p^72 *q^934+196114780148*p^70*q^936+16465064842*p^68*q^938+1179728734*p^66*q^940+ 73988598*p^64*q^942+4375082*p^62*q^944+123370*p^60*q^946+1224*p^58*q^948+128*p^ 56*q^950+26646*p^91*q^914+89768*p^89*q^916+3649532*p^87*q^918+58640130*p^85*q^ 920+974366460*p^83*q^922+13807136312*p^81*q^924+165320016311*p^79*q^926+ 1359104079252*p^77*q^928+4375720025427*p^75*q^930+3224743500944*p^73*q^932+ 632140064533*p^71*q^934+62293326250*p^69*q^936+4814815093*p^67*q^938+331630784* p^65*q^940+15893666*p^63*q^942+1083536*p^61*q^944+5692*p^59*q^946+2644*p^57*q^ 948+2195*p^92*q^912+17300*p^90*q^914+542770*p^88*q^916+14307796*p^86*q^918+ 229158210*p^84*q^920+3470952848*p^82*q^922+46002959174*p^80*q^924+482740432910* p^78*q^926+2774359704735*p^76*q^928+4596713940324*p^74*q^930+1691504940676*p^72 *q^932+221256007092*p^70*q^934+18777105855*p^68*q^936+1362648172*p^66*q^938+ 87387320*p^64*q^940+4458826*p^62*q^942+167304*p^60*q^944+1692*p^58*q^946+292*p^ 56*q^948+40*p^93*q^910+21950*p^91*q^912+81941*p^89*q^914+2993620*p^87*q^916+ 50207422*p^85*q^918+847110536*p^83*q^920+12078743080*p^81*q^922+146144048040*p^ 79*q^924+1237871802638*p^77*q^926+4258319383782*p^75*q^928+3395756418733*p^73*q ^930+702426732820*p^71*q^932+70693085928*p^69*q^934+5514194920*p^67*q^936+ 376326591*p^65*q^938+19159638*p^63*q^940+1400500*p^61*q^942+15974*p^59*q^944+ 290*p^57*q^946+8*p^55*q^948+152*p^92*q^910+49422*p^90*q^912+431114*p^88*q^914+ 12435090*p^86*q^916+198156174*p^84*q^918+3034754044*p^82*q^920+40418831388*p^80 *q^922+431435148250*p^78*q^924+2594272592068*p^76*q^926+4647432867310*p^74*q^ 928+1836029822330*p^72*q^930+249303343164*p^70*q^932+21442184118*p^68*q^934+ 1568745037*p^66*q^936+103212988*p^64*q^938+4604648*p^62*q^940+217060*p^60*q^942 +268*p^58*q^944+768*p^56*q^946+16901*p^91*q^910+54904*p^89*q^912+2410849*p^87*q ^914+44701020*p^85*q^916+736607026*p^83*q^918+10551971478*p^81*q^920+ 129191998496*p^79*q^922+1124196039364*p^77*q^924+4119841601775*p^75*q^926+ 3565117350214*p^73*q^928+779723411742*p^71*q^930+80344796414*p^69*q^932+ 6314299023*p^67*q^934+432758528*p^65*q^936+23905720*p^63*q^938+1548590*p^61*q^ 940+27210*p^59*q^942+276*p^57*q^944+8*p^55*q^946+644*p^92*q^908+62964*p^90*q^ 910+395050*p^88*q^912+10505398*p^86*q^914+169620818*p^84*q^916+2642340364*p^82* q^918+35478674838*p^80*q^920+384642655254*p^78*q^922+2417890004887*p^76*q^924+ 4677270680150*p^74*q^926+1988337980184*p^72*q^928+280638614584*p^70*q^930+ 24463724981*p^68*q^932+1803910602*p^66*q^934+120040026*p^64*q^936+4743008*p^62* q^938+341992*p^60*q^940+1248*p^58*q^942+112*p^56*q^944+3980*p^91*q^908+76000*p^ 89*q^910+1875320*p^87*q^912+39479034*p^85*q^914+637599052*p^83*q^916+9216092770 *p^81*q^918+113969833832*p^79*q^920+1019829056870*p^77*q^922+3971472424502*p^75 *q^924+3725957541317*p^73*q^926+863463132162*p^71*q^928+91079405068*p^69*q^930+ 7200188118*p^67*q^932+497642745*p^65*q^934+28712088*p^63*q^936+1636996*p^61*q^ 938+35616*p^59*q^940+4*p^57*q^942+120*p^55*q^944+80*p^92*q^906+68912*p^90*q^908 +299752*p^88*q^910+8916028*p^86*q^912+146718010*p^84*q^914+2305608132*p^82*q^ 916+31149776418*p^80*q^918+342908475726*p^78*q^920+2247304056350*p^76*q^922+ 4684679259676*p^74*q^924+2145869869402*p^72*q^926+315364616639*p^70*q^928+ 27897695252*p^68*q^930+2081199780*p^66*q^932+136773280*p^64*q^934+5823859*p^62* q^936+437750*p^60*q^938+2964*p^58*q^940+20*p^56*q^942+4708*p^91*q^906+122364*p^ 89*q^908+1630665*p^87*q^910+34626504*p^85*q^912+555101158*p^83*q^914+8065450012 *p^81*q^916+100562886365*p^79*q^918+922217507978*p^77*q^920+3813899972472*p^75* q^922+3875980920694*p^73*q^924+954783708707*p^71*q^926+103405552528*p^69*q^928+ 8257486786*p^67*q^930+572488496*p^65*q^932+35843429*p^63*q^934+1546128*p^61*q^ 936+57740*p^59*q^938+44*p^57*q^940+24*p^55*q^942+35224*p^90*q^906+241138*p^88*q ^908+7275548*p^86*q^910+127529757*p^84*q^912+2000128422*p^82*q^914+27277983851* p^80*q^916+304697691886*p^78*q^918+2081628649258*p^76*q^920+4675174708090*p^74* q^922+2308300700715*p^72*q^924+354061074704*p^70*q^926+31805203811*p^68*q^928+ 2382593854*p^66*q^930+157021232*p^64*q^932+6843930*p^62*q^934+534294*p^60*q^936 +5344*p^58*q^938+8*p^54*q^942+1908*p^91*q^904+171476*p^89*q^906+1367810*p^87*q^ 908+29679713*p^85*q^910+478012428*p^83*q^912+7050450512*p^81*q^914+88677176792* p^79*q^916+832521746902*p^77*q^918+3649080647400*p^75*q^920+4021833403528*p^73* q^922+1051280456274*p^71*q^924+117105940404*p^69*q^926+9413599818*p^67*q^928+ 662493051*p^65*q^930+41543298*p^63*q^932+1518759*p^61*q^934+90742*p^59*q^936+ 176*p^57*q^938+23842*p^90*q^904+250674*p^88*q^906+6137817*p^86*q^908+112176960* p^84*q^910+1748853470*p^82*q^912+23934528482*p^80*q^914+271037314086*p^78*q^916 +1920757167386*p^76*q^918+4643952056163*p^74*q^920+2475291728922*p^72*q^922+ 396930452794*p^70*q^924+36218012758*p^68*q^926+2742295569*p^66*q^928+179739738* p^64*q^930+9153866*p^62*q^932+589120*p^60*q^934+7192*p^58*q^936+2*p^54*q^940+ 252*p^91*q^902+155342*p^89*q^904+1105162*p^87*q^906+25485028*p^85*q^908+ 413585339*p^83*q^910+6151391246*p^81*q^912+78116513805*p^79*q^914+750128776872* p^77*q^916+3472830977288*p^75*q^918+4152144872590*p^73*q^920+1158192097342*p^71 *q^922+132534105036*p^69*q^924+10783704096*p^67*q^926+765752056*p^65*q^928+ 48869113*p^63*q^930+1535850*p^61*q^932+126780*p^59*q^934+544*p^57*q^936+48*p^92 *q^900+17760*p^90*q^902+322443*p^88*q^904+5267868*p^86*q^906+97208350*p^84*q^ 908+1517917496*p^82*q^910+20967383761*p^80*q^912+240454268614*p^78*q^914+ 1769427575737*p^76*q^916+4589313163330*p^74*q^918+2645818117989*p^72*q^920+ 444209954384*p^70*q^922+41269289364*p^68*q^924+3131529150*p^66*q^926+206038681* p^64*q^928+11411368*p^62*q^930+551505*p^60*q^932+13364*p^58*q^934+4*p^56*q^936+ 176*p^91*q^900+101520*p^89*q^902+902194*p^87*q^904+21518231*p^85*q^906+ 360402692*p^83*q^908+5363216832*p^81*q^910+68761643310*p^79*q^912+674561622432* p^77*q^914+3298516100394*p^75*q^916+4266784725881*p^73*q^918+1270407095066*p^71 *q^920+149990166722*p^69*q^922+12300887394*p^67*q^924+886299588*p^65*q^926+ 56035148*p^63*q^928+1878050*p^61*q^930+175580*p^59*q^932+968*p^57*q^934+8*p^92* q^898+4728*p^90*q^900+416510*p^88*q^902+4440802*p^86*q^904+84252540*p^84*q^906+ 1317439660*p^82*q^908+18395339770*p^80*q^910+213298766303*p^78*q^912+ 1624684475322*p^76*q^914+4521525940172*p^74*q^916+2815736273002*p^72*q^918+ 496192684354*p^70*q^920+46933764934*p^68*q^922+3588794818*p^66*q^924+236731566* p^64*q^926+13793772*p^62*q^928+473202*p^60*q^930+19636*p^58*q^932+20*p^56*q^934 +612*p^91*q^898+91498*p^89*q^900+799628*p^87*q^902+18515866*p^85*q^904+ 314988343*p^83*q^906+4693817314*p^81*q^908+60469839742*p^79*q^910+605416531250* p^77*q^912+3116625833513*p^75*q^914+4370517299388*p^73*q^916+1390556187079*p^71 *q^918+169690470646*p^69*q^920+14077086902*p^67*q^922+1024003684*p^65*q^924+ 64862320*p^63*q^926+2718090*p^61*q^928+196174*p^59*q^930+1248*p^57*q^932+12*p^ 92*q^896+3164*p^90*q^898+344646*p^88*q^900+3760620*p^86*q^902+72270830*p^84*q^ 904+1142533616*p^82*q^906+16072099767*p^80*q^908+188940010428*p^78*q^910+ 1486477815562*p^76*q^912+4432925486898*p^74*q^914+2989201466793*p^72*q^916+ 553718819712*p^70*q^918+53373236254*p^68*q^920+4103606618*p^66*q^922+274749836* p^64*q^924+16466328*p^62*q^926+362062*p^60*q^928+37912*p^58*q^930+128*p^56*q^ 932+200*p^91*q^896+43131*p^89*q^898+925886*p^87*q^900+15758510*p^85*q^902+ 273045672*p^83*q^904+4087527265*p^81*q^906+53215493762*p^79*q^908+542578374414* p^77*q^910+2936581622896*p^75*q^912+4455334066849*p^73*q^914+1517954462922*p^71 *q^916+191288298122*p^69*q^918+16065122288*p^67*q^920+1176684892*p^65*q^922+ 72802542*p^63*q^924+3317576*p^61*q^926+200896*p^59*q^928+1784*p^57*q^930+3556*p ^90*q^896+319242*p^88*q^898+3013063*p^86*q^900+62336326*p^84*q^902+996729932*p^ 82*q^904+14098798770*p^80*q^906+167284072272*p^78*q^908+1358305359226*p^76*q^ 910+4325110670163*p^74*q^912+3160161549036*p^72*q^914+616495653337*p^70*q^916+ 60735977326*p^68*q^918+4694005849*p^66*q^920+320132546*p^64*q^922+19754423*p^62 *q^924+532284*p^60*q^926+47704*p^58*q^928+56*p^56*q^930+196*p^91*q^894+27536*p^ 89*q^896+942813*p^87*q^898+13820504*p^85*q^900+237176990*p^83*q^902+3560437802* p^81*q^904+46783996256*p^79*q^906+485464647138*p^77*q^908+2755356958996*p^75*q^ 910+4520875242990*p^73*q^912+1653392275019*p^71*q^914+215885380350*p^69*q^916+ 18342367399*p^67*q^918+1356969888*p^65*q^920+83754911*p^63*q^922+4266370*p^61*q ^924+126860*p^59*q^926+5822*p^57*q^928+8*p^55*q^930+8*p^92*q^892+2684*p^90*q^ 894+230351*p^88*q^896+2688944*p^86*q^898+53217580*p^84*q^900+866887594*p^82*q^ 902+12324824428*p^80*q^904+147781810358*p^78*q^906+1237113505248*p^76*q^908+ 4206129292474*p^74*q^910+3326961991831*p^72*q^912+685730948306*p^70*q^914+ 68982490460*p^68*q^916+5372351186*p^66*q^918+371187072*p^64*q^920+22690724*p^62 *q^922+677498*p^60*q^924+65608*p^58*q^926+76*p^56*q^928+32*p^91*q^892+17784*p^ 89*q^894+881644*p^87*q^896+11559268*p^85*q^898+204866480*p^83*q^900+3097615032* p^81*q^902+41071751424*p^79*q^904+433827010044*p^77*q^906+2578406931190*p^75*q^ 908+4570084305538*p^73*q^910+1793465564186*p^71*q^912+243082355676*p^69*q^914+ 20908970268*p^67*q^916+1549989045*p^65*q^918+96017772*p^63*q^920+5253159*p^61*q ^922+99328*p^59*q^924+8264*p^57*q^926+1818*p^90*q^892+152514*p^88*q^894+2637200 *p^86*q^896+46305788*p^84*q^898+758049550*p^82*q^900+10793152560*p^80*q^902+ 130788336221*p^78*q^904+1123875704738*p^76*q^906+4072463247405*p^74*q^908+ 3491202929434*p^72*q^910+760152808614*p^70*q^912+78350214210*p^68*q^914+ 6151922797*p^66*q^916+434664632*p^64*q^918+25679894*p^62*q^920+939514*p^60*q^ 922+62642*p^58*q^924+540*p^56*q^926+136*p^91*q^890+18002*p^89*q^892+813084*p^87 *q^894+9675968*p^85*q^896+176826912*p^83*q^898+2700870982*p^81*q^900+ 36076049980*p^79*q^902+386919461150*p^77*q^904+2401791217464*p^75*q^906+ 4598770852434*p^73*q^908+1942546559039*p^71*q^910+273624806208*p^69*q^912+ 23879488221*p^67*q^914+1775018616*p^65*q^916+111469460*p^63*q^918+6593330*p^61* q^920+119884*p^59*q^922+12116*p^57*q^924+878*p^90*q^890+101122*p^88*q^892+ 2365560*p^86*q^894+40259213*p^84*q^896+656309352*p^82*q^898+9420473549*p^80*q^ 900+115345314718*p^78*q^902+1019369157487*p^76*q^904+3923201303182*p^74*q^906+ 3649358638603*p^72*q^908+842198395148*p^70*q^910+88853071695*p^68*q^912+ 7029687106*p^66*q^914+503676700*p^64*q^916+29253538*p^62*q^918+1176853*p^60*q^ 920+33124*p^58*q^922+1216*p^56*q^924+40*p^91*q^888+13114*p^89*q^890+621440*p^87 *q^892+8687375*p^85*q^894+151751768*p^83*q^896+2356906268*p^81*q^898+ 31680085132*p^79*q^900+344767415021*p^77*q^902+2233713804200*p^75*q^904+ 4605157585364*p^73*q^906+2095044705468*p^71*q^908+307308679390*p^69*q^910+ 27219507046*p^67*q^912+2029184396*p^65*q^914+129962578*p^63*q^916+7630999*p^61* q^918+167104*p^59*q^920+21454*p^57*q^922+20*p^55*q^924+1040*p^90*q^888+79584*p^ 88*q^890+2294941*p^86*q^892+34141838*p^84*q^894+572696777*p^82*q^896+8234476724 *p^80*q^898+101822793572*p^78*q^900+922322964084*p^76*q^902+3769408290134*p^74* q^904+3795487146836*p^72*q^906+930252140973*p^70*q^908+100791639692*p^68*q^910+ 8048602124*p^66*q^912+581217078*p^64*q^914+33085296*p^62*q^916+1581210*p^60*q^ 918+23826*p^58*q^920+1100*p^56*q^922+9292*p^89*q^888+482612*p^87*q^890+7522478* p^85*q^892+132567362*p^83*q^894+2054482676*p^81*q^896+27802387329*p^79*q^898+ 306864145918*p^77*q^900+2067537754997*p^75*q^902+4596307895668*p^73*q^904+ 2253235549085*p^71*q^906+344928823450*p^69*q^908+31017632869*p^67*q^910+ 2326508944*p^65*q^912+154122390*p^63*q^914+8898132*p^61*q^916+237200*p^59*q^918 +14708*p^57*q^920+140*p^55*q^922+820*p^90*q^886+71588*p^88*q^888+2035890*p^86*q ^890+29608794*p^84*q^892+493760440*p^82*q^894+7186194989*p^80*q^896+89741549658 *p^78*q^898+832082631339*p^76*q^900+3603921722852*p^74*q^902+3937366310820*p^72 *q^904+1025583381194*p^70*q^906+114201221364*p^68*q^908+9210052722*p^66*q^910+ 667237710*p^64*q^912+37825252*p^62*q^914+2032323*p^60*q^916+21924*p^58*q^918+ 4140*p^56*q^920+6326*p^89*q^886+325724*p^87*q^888+6677960*p^85*q^890+114094514* p^83*q^892+1789676259*p^81*q^894+24366481468*p^79*q^896+272782194056*p^77*q^898 +1909795936006*p^75*q^900+4563566031950*p^73*q^902+2415839453520*p^71*q^904+ 386319584389*p^69*q^906+35285321898*p^67*q^908+2654330892*p^65*q^910+181395838* p^63*q^912+9896920*p^61*q^914+290126*p^59*q^916+8326*p^57*q^918+44*p^55*q^920+ 74*p^90*q^884+58808*p^88*q^886+1743250*p^86*q^888+25929556*p^84*q^890+428477824 *p^82*q^892+6287525418*p^80*q^894+79163487961*p^78*q^896+750468458462*p^76*q^ 898+3431882613276*p^74*q^900+4062862165632*p^72*q^902+1127662404593*p^70*q^904+ 129227580806*p^68*q^906+10534865163*p^66*q^908+765373912*p^64*q^910+43635909*p^ 62*q^912+2496248*p^60*q^914+44384*p^58*q^916+4764*p^56*q^918+8*p^54*q^920+8*p^ 91*q^882+7284*p^89*q^884+293744*p^87*q^886+6155534*p^85*q^888+98741321*p^83*q^ 890+1564118636*p^81*q^892+21360761792*p^79*q^894+242137246772*p^77*q^896+ 1758265226533*p^75*q^898+4511173040958*p^73*q^900+2581755891752*p^71*q^902+ 432591432642*p^69*q^904+40244904814*p^67*q^906+3051361678*p^65*q^908+213233220* p^63*q^910+11589572*p^61*q^912+442258*p^59*q^914+2874*p^57*q^916+368*p^55*q^918 +40*p^90*q^882+39138*p^88*q^884+1321000*p^86*q^886+22081623*p^84*q^888+ 370933236*p^82*q^890+5474088443*p^80*q^892+69633987472*p^78*q^894+674714597425* p^76*q^896+3257830026940*p^74*q^898+4175728047848*p^72*q^900+1237621305940*p^70 *q^902+146105755358*p^68*q^904+12016658692*p^66*q^906+870100595*p^64*q^908+ 51934768*p^62*q^910+2754700*p^60*q^912+42198*p^58*q^914+2984*p^56*q^916+2286*p^ 89*q^882+266922*p^87*q^884+5418194*p^85*q^886+85813680*p^83*q^888+1357095474*p^ 81*q^890+18716335718*p^79*q^892+214797942218*p^77*q^894+1615007102408*p^75*q^ 896+4443196891668*p^73*q^898+2746639252794*p^71*q^900+483046292763*p^69*q^902+ 45770956278*p^67*q^904+3496605938*p^65*q^906+247986052*p^63*q^908+12538873*p^61 *q^910+611652*p^59*q^912+6490*p^57*q^914+1032*p^55*q^916+120*p^90*q^880+39890*p ^88*q^882+1052302*p^86*q^884+19629982*p^84*q^886+322212077*p^82*q^888+ 4796557124*p^80*q^890+61360377708*p^78*q^892+605727482194*p^76*q^894+ 3080585207536*p^74*q^896+4275305143200*p^72*q^898+1353102657831*p^70*q^900+ 165118544710*p^68*q^902+13722283580*p^66*q^904+997637560*p^64*q^906+62019750*p^ 62*q^908+3435376*p^60*q^910+71994*p^58*q^912+1112*p^56*q^914+8*p^54*q^916+932*p ^89*q^880+205312*p^87*q^882+4713926*p^85*q^884+74304874*p^83*q^886+1181000304*p ^81*q^888+16390824499*p^79*q^890+190389519080*p^77*q^892+1477505904112*p^75*q^ 894+4355966603898*p^73*q^896+2915426018208*p^71*q^898+538750774022*p^69*q^900+ 52086299261*p^67*q^902+4019887932*p^65*q^904+285488046*p^63*q^906+14249412*p^61 *q^908+689288*p^59*q^910+6452*p^57*q^912+640*p^55*q^914+16*p^90*q^878+26146*p^ 88*q^880+963188*p^86*q^882+17037124*p^84*q^884+278096210*p^82*q^886+4182152513* p^80*q^888+53927787800*p^78*q^890+542940198207*p^76*q^892+2899658387368*p^74*q^ 894+4359474353582*p^72*q^896+1478246981122*p^70*q^898+186178929060*p^68*q^900+ 15671351392*p^66*q^902+1138846393*p^64*q^904+75163162*p^62*q^906+3918782*p^60*q ^908+120828*p^58*q^910+548*p^56*q^912+136*p^54*q^914+932*p^89*q^878+173536*p^87 *q^880+3726100*p^85*q^882+64773930*p^83*q^884+1025537023*p^81*q^886+14344241486 *p^79*q^888+168566762986*p^77*q^890+1350627110386*p^75*q^892+4249116932796*p^73 *q^894+3080960945316*p^71*q^896+599696003454*p^69*q^898+59200819838*p^67*q^900+ 4585793692*p^65*q^902+327123990*p^63*q^904+16394038*p^61*q^906+822962*p^59*q^ 908+7336*p^57*q^910+452*p^55*q^912+8*p^90*q^876+10952*p^88*q^878+839815*p^86*q^ 880+15230362*p^84*q^882+241721439*p^82*q^884+3652196138*p^80*q^886+47461446748* p^78*q^888+486131960436*p^76*q^890+2723446878731*p^74*q^892+4419778757146*p^72* q^894+1608058547925*p^70*q^896+210034613222*p^68*q^898+17873184637*p^66*q^900+ 1313092034*p^64*q^902+88788723*p^62*q^904+4209426*p^60*q^906+157854*p^58*q^908+ 1112*p^56*q^910+72*p^54*q^912+516*p^89*q^876+161092*p^87*q^878+3185008*p^85*q^ 880+56292728*p^83*q^882+892721504*p^81*q^884+12562919905*p^79*q^886+ 149080862512*p^77*q^888+1230023951698*p^75*q^890+4132822424530*p^73*q^892+ 3242576731054*p^71*q^894+666666066262*p^69*q^896+67259964799*p^67*q^898+ 5261599558*p^65*q^900+372062928*p^63*q^902+20148600*p^61*q^904+1140458*p^59*q^ 906+18578*p^57*q^908+16*p^55*q^910+8*p^53*q^912+28*p^90*q^874+7642*p^88*q^876+ 679280*p^86*q^878+12942399*p^84*q^880+210294804*p^82*q^882+3181788298*p^80*q^ 884+41654474856*p^78*q^886+434221659913*p^76*q^888+2546713730484*p^74*q^890+ 4470034474123*p^72*q^892+1745093530194*p^70*q^894+236532484639*p^68*q^896+ 20402304972*p^66*q^898+1507342593*p^64*q^900+104877760*p^62*q^902+4522324*p^60* q^904+158446*p^58*q^906+328*p^56*q^908+96*p^54*q^910+208*p^89*q^874+89682*p^87* q^876+2879121*p^85*q^878+48695662*p^83*q^880+772073831*p^81*q^882+10986364260*p ^79*q^884+131809913896*p^77*q^886+1117770900876*p^75*q^888+4000823755043*p^73*q ^890+3402370396848*p^71*q^892+738864608535*p^69*q^894+76252932526*p^67*q^896+ 6009041625*p^65*q^898+423273294*p^63*q^900+24515524*p^61*q^902+1271606*p^59*q^ 904+28546*p^57*q^906+140*p^55*q^908+4*p^53*q^910+5208*p^88*q^874+664698*p^86*q^ 876+10729256*p^84*q^878+183663989*p^82*q^880+2781929128*p^80*q^882+36644483885* p^78*q^884+387679163070*p^76*q^886+2374395093200*p^74*q^888+4494815700754*p^72* q^890+1887912607274*p^70*q^892+265932973084*p^68*q^894+23309917833*p^66*q^896+ 1728477310*p^64*q^898+121755662*p^62*q^900+4971160*p^60*q^902+254323*p^58*q^904 +1968*p^56*q^906+420*p^89*q^872+61822*p^87*q^874+2409576*p^85*q^876+43346582*p^ 83*q^878+671120286*p^81*q^880+9618802281*p^79*q^882+116390292650*p^77*q^884+ 1013735037096*p^75*q^886+3853887200372*p^73*q^888+3555319011906*p^71*q^890+ 818125768172*p^69*q^892+86597696317*p^67*q^894+6869000304*p^65*q^896+489387428* p^63*q^898+30167878*p^61*q^900+1447236*p^59*q^902+30704*p^57*q^904+8*p^53*q^908 +8*p^90*q^870+3146*p^88*q^872+507408*p^86*q^874+9404050*p^84*q^876+157896270*p^ 82*q^878+2419888379*p^80*q^880+32132228378*p^78*q^882+345436367611*p^76*q^884+ 2206156981400*p^74*q^886+4504069119087*p^72*q^888+2037289109708*p^70*q^890+ 298749398333*p^68*q^892+26529256806*p^66*q^894+1988228846*p^64*q^896+137502620* p^62*q^898+6005310*p^60*q^900+317620*p^58*q^902+3676*p^56*q^904+8*p^54*q^906+8* p^91*q^868+52*p^89*q^870+36240*p^87*q^872+2210158*p^85*q^874+36421694*p^83*q^ 876+585185233*p^81*q^878+8400839946*p^79*q^880+102738497411*p^77*q^882+ 917561414948*p^75*q^884+3702221924273*p^73*q^886+3696435401730*p^71*q^888+ 903651381076*p^69*q^890+98016298306*p^67*q^892+7855299702*p^65*q^894+557097206* p^63*q^896+37257258*p^61*q^898+1373002*p^59*q^900+40551*p^57*q^902+88*p^55*q^ 904+3446*p^88*q^870+373516*p^86*q^872+8055750*p^84*q^874+139812548*p^82*q^876+ 2105103310*p^80*q^878+28239871851*p^78*q^880+307641387186*p^76*q^882+ 2044238577310*p^74*q^884+4490434188754*p^72*q^886+2189452376151*p^70*q^888+ 335110468754*p^68*q^890+30267229369*p^66*q^892+2279234654*p^64*q^894+158556696* p^62*q^896+7288988*p^60*q^898+438872*p^58*q^900+5520*p^56*q^902+4*p^91*q^866+ 120*p^89*q^868+28584*p^87*q^870+2028474*p^85*q^872+31458512*p^83*q^874+ 507680220*p^81*q^876+7358342178*p^79*q^878+90633597518*p^77*q^880+828020518254* p^75*q^882+3540477370392*p^73*q^884+3832881063432*p^71*q^886+995107971814*p^69* q^888+111140906695*p^67*q^890+8981696454*p^65*q^892+643768457*p^63*q^894+ 43428242*p^61*q^896+1488144*p^59*q^898+58682*p^57*q^900+380*p^55*q^902+96*p^90* q^866+1412*p^88*q^868+239120*p^86*q^870+6968548*p^84*q^872+120754932*p^82*q^874 +1832896814*p^80*q^876+24729111604*p^78*q^878+273383801683*p^76*q^880+ 1886973642408*p^74*q^882+4461187407054*p^72*q^884+2347410447184*p^70*q^886+ 375407653548*p^68*q^888+34436068926*p^66*q^890+2609186808*p^64*q^892+180307476* p^62*q^894+9737036*p^60*q^896+448346*p^58*q^898+5359*p^56*q^900+8*p^91*q^864+20 *p^89*q^866+23440*p^87*q^868+1657224*p^85*q^870+26978850*p^83*q^872+441454980*p ^81*q^874+6429778018*p^79*q^876+79885294991*p^77*q^878+747037342050*p^75*q^880+ 3370717000930*p^73*q^882+3956336329550*p^71*q^884+1094419039079*p^69*q^886+ 125584784684*p^67*q^888+10263006158*p^65*q^890+738907760*p^63*q^892+50569254*p^ 61*q^894+1538852*p^59*q^896+95788*p^57*q^898+560*p^55*q^900+72*p^90*q^864+984*p ^88*q^866+172454*p^86*q^868+6494138*p^84*q^870+104456718*p^82*q^872+1599722868* p^80*q^874+21706496194*p^78*q^876+242925109702*p^76*q^878+1738460005408*p^74*q^ 880+4407246628938*p^72*q^882+2506040443419*p^70*q^884+419835135270*p^68*q^886+ 39231205678*p^66*q^888+2988429196*p^64*q^890+206599083*p^62*q^892+12191024*p^60 *q^894+431874*p^58*q^896+8218*p^56*q^898+24*p^54*q^900+456*p^89*q^864+14998*p^ 87*q^866+1290776*p^85*q^868+22834440*p^83*q^870+387173880*p^81*q^872+5609121003 *p^79*q^874+70420383364*p^77*q^876+671669972218*p^75*q^878+3200614768166*p^73*q ^880+4062682401067*p^71*q^882+1200466312356*p^69*q^884+142091038756*p^67*q^886+ 11736196498*p^65*q^888+851751101*p^63*q^890+58178174*p^61*q^892+2067240*p^59*q^ 894+136584*p^57*q^896+864*p^55*q^898+136*p^90*q^862+680*p^88*q^864+147804*p^86* q^866+5785114*p^84*q^868+90640304*p^82*q^870+1385813716*p^80*q^872+19031467568* p^78*q^874+215377131308*p^76*q^876+1595787093490*p^74*q^878+4342227634362*p^72* q^880+2667517331698*p^70*q^882+468655522725*p^68*q^884+44610419696*p^66*q^886+ 3422364647*p^64*q^888+236687640*p^62*q^890+14915004*p^60*q^892+385302*p^58*q^ 894+12192*p^56*q^896+16*p^54*q^898+624*p^89*q^862+7864*p^87*q^864+875038*p^85*q ^866+20093054*p^83*q^868+335298826*p^81*q^870+4903518080*p^79*q^872+61951975251 *p^77*q^874+603333062142*p^75*q^876+3025675485246*p^73*q^878+4161708793724*p^71 *q^880+1312425846899*p^69*q^882+160394977806*p^67*q^884+13385193439*p^65*q^886+ 977572060*p^63*q^888+66347808*p^61*q^890+2820234*p^59*q^892+126152*p^57*q^894+ 790*p^55*q^896+8*p^90*q^860+1184*p^88*q^862+103378*p^86*q^864+5146622*p^84*q^ 866+76924276*p^82*q^868+1212823964*p^80*q^870+16685418247*p^78*q^872+ 191184744356*p^76*q^874+1461415730985*p^74*q^876+4253627628076*p^72*q^878+ 2828303527223*p^70*q^880+522361633684*p^68*q^882+50691554096*p^66*q^884+ 3919088668*p^64*q^886+271839288*p^62*q^888+17728840*p^60*q^890+367062*p^58*q^ 892+31860*p^56*q^894+124*p^54*q^896+1048*p^89*q^860+7956*p^87*q^862+761072*p^85 *q^864+17997880*p^83*q^866+294292298*p^81*q^868+4278218310*p^79*q^870+ 54547026826*p^77*q^872+540877195464*p^75*q^874+2848556114156*p^73*q^876+ 4239179802460*p^71*q^878+1432785800436*p^69*q^880+181053910249*p^67*q^882+ 15326049298*p^65*q^884+1126031300*p^63*q^886+77034132*p^61*q^888+3727780*p^59*q ^890+130304*p^57*q^892+736*p^55*q^894+2876*p^88*q^860+63078*p^86*q^862+3902529* p^84*q^864+66091218*p^82*q^866+1052198036*p^80*q^868+14593682298*p^78*q^870+ 169146169541*p^76*q^872+1335229984832*p^74*q^874+4152002167253*p^72*q^876+ 2989278844226*p^70*q^878+581364086116*p^68*q^880+57585947564*p^66*q^882+ 4466450938*p^64*q^884+312669034*p^62*q^886+20388472*p^60*q^888+530276*p^58*q^ 890+30664*p^56*q^892+36*p^54*q^894+388*p^89*q^858+3940*p^87*q^860+570144*p^85*q ^862+16502392*p^83*q^864+253820814*p^81*q^866+3731079788*p^79*q^868+47990052312 *p^77*q^870+484442166986*p^75*q^872+2675321623010*p^73*q^874+4300255678846*p^71 *q^876+1558340160689*p^69*q^878+203835895048*p^67*q^880+17461161116*p^65*q^882+ 1293078280*p^63*q^884+86724984*p^61*q^886+4806000*p^59*q^888+80970*p^57*q^890+ 4848*p^55*q^892+8*p^53*q^894+8*p^90*q^856+4932*p^88*q^858+56400*p^86*q^860+ 3204180*p^84*q^862+57107144*p^82*q^864+922918306*p^80*q^866+12806407990*p^78*q^ 868+149725131808*p^76*q^870+1216848527148*p^74*q^872+4035908863168*p^72*q^874+ 3144069424096*p^70*q^876+645932546052*p^68*q^878+65447371183*p^66*q^880+ 5128544260*p^64*q^882+360206583*p^62*q^884+24511372*p^60*q^886+726988*p^58*q^ 888+37736*p^56*q^890+24*p^54*q^892+32*p^89*q^856+8324*p^87*q^858+409336*p^85*q^ 860+14323812*p^83*q^862+219556314*p^81*q^864+3254261694*p^79*q^866+42168227128* p^77*q^868+432842805230*p^75*q^870+2502374260074*p^73*q^872+4344898572159*p^71* q^874+1689889315664*p^69*q^876+229542425787*p^67*q^878+19921900720*p^65*q^880+ 1480401698*p^63*q^882+99766588*p^61*q^884+5654936*p^59*q^886+85272*p^57*q^888+ 6264*p^55*q^890+4404*p^88*q^856+32696*p^86*q^858+2645423*p^84*q^860+50412128*p^ 82*q^862+803450534*p^80*q^864+11196916892*p^78*q^866+132431937529*p^76*q^868+ 1105370352320*p^74*q^870+3907857435224*p^72*q^872+3299308468656*p^70*q^874+ 715572436404*p^68*q^876+74234730500*p^66*q^878+5872300737*p^64*q^880+416908722* p^62*q^882+27947390*p^60*q^884+1093550*p^58*q^886+28948*p^56*q^888+352*p^54*q^ 890+144*p^89*q^854+15452*p^87*q^856+321174*p^85*q^858+11786130*p^83*q^860+ 188321190*p^81*q^862+2838527072*p^79*q^864+37054791383*p^77*q^866+386445028740* p^75*q^868+2332144804236*p^73*q^870+4372581099282*p^71*q^872+1828216667134*p^69 *q^874+257860560058*p^67*q^876+22701108655*p^65*q^878+1687511002*p^63*q^880+ 113963442*p^61*q^882+6930556*p^59*q^884+107128*p^57*q^886+7134*p^55*q^888+1016* p^88*q^854+26750*p^86*q^856+2041032*p^84*q^858+45691755*p^82*q^860+700772058*p^ 80*q^862+9807186425*p^78*q^864+117090042698*p^76*q^866+1003724158681*p^74*q^868 +3763145916552*p^72*q^870+3444865458705*p^70*q^872+792131849216*p^68*q^874+ 84124716519*p^66*q^876+6716460516*p^64*q^878+483518800*p^62*q^880+31875890*p^60 *q^882+1356002*p^58*q^884+16052*p^56*q^886+1136*p^54*q^888+16*p^89*q^852+23412* p^87*q^854+239152*p^85*q^856+10194236*p^83*q^858+161932188*p^81*q^860+ 2481499818*p^79*q^862+32570044108*p^77*q^864+344528802097*p^75*q^866+ 2167547930174*p^73*q^868+4374662631620*p^71*q^870+1971491458840*p^69*q^872+ 289678955917*p^67*q^874+25897743366*p^65*q^876+1940113880*p^63*q^878+130479262* p^61*q^880+8545464*p^59*q^882+193920*p^57*q^884+8824*p^55*q^886+4*p^53*q^888+ 1288*p^88*q^852+37860*p^86*q^854+1612435*p^84*q^856+39214336*p^82*q^858+ 609573272*p^80*q^860+8555889636*p^78*q^862+103264604219*p^76*q^864+907924118602 *p^74*q^866+3616652581738*p^72*q^868+3582014121736*p^70*q^870+874484056288*p^68 *q^872+95326623278*p^66*q^874+7681138265*p^64*q^876+552588536*p^62*q^878+ 37088558*p^60*q^880+1682230*p^58*q^882+13440*p^56*q^884+746*p^54*q^886+12392*p^ 87*q^852+151668*p^85*q^854+8341098*p^83*q^856+142714940*p^81*q^858+2161175262*p ^79*q^860+28595892263*p^77*q^862+306890740436*p^75*q^864+2008820998580*p^73*q^ 866+4365825244262*p^71*q^868+2117709698671*p^69*q^870+324531808978*p^67*q^872+ 29461685693*p^65*q^874+2216289182*p^63*q^876+151757716*p^61*q^878+9654750*p^59* q^880+272652*p^57*q^882+4576*p^55*q^884+144*p^53*q^886+468*p^88*q^850+71912*p^ 86*q^852+1295700*p^84*q^854+34237498*p^82*q^856+526405330*p^80*q^858+7506019409 *p^78*q^860+91191749072*p^76*q^862+820130733146*p^74*q^864+3456803795832*p^72*q ^866+3712828264232*p^70*q^868+962648431452*p^68*q^870+107947361773*p^66*q^872+ 8789168680*p^64*q^874+635006478*p^62*q^876+41451406*p^60*q^878+2238274*p^58*q^ 880+23686*p^56*q^882+1750*p^54*q^884+8616*p^87*q^850+130986*p^85*q^852+6916966* p^83*q^854+125204474*p^81*q^856+1895990055*p^79*q^858+25088588952*p^77*q^860+ 272962111935*p^75*q^862+1854316504592*p^73*q^864+4332896736962*p^71*q^866+ 2269157823282*p^69*q^868+363563445522*p^67*q^870+33563631632*p^65*q^872+ 2545843190*p^63*q^874+176994670*p^61*q^876+11798430*p^59*q^878+346420*p^57*q^ 880+2336*p^55*q^882+30*p^53*q^884+92*p^88*q^848+71726*p^86*q^850+916102*p^84*q^ 852+29444676*p^82*q^854+454566208*p^80*q^856+6544717332*p^78*q^858+80385468322* p^76*q^860+739241538100*p^74*q^862+3292345159343*p^72*q^864+3830794582694*p^70* q^866+1058341629004*p^68*q^868+121986446706*p^66*q^870+10040161077*p^64*q^872+ 726222008*p^62*q^874+47095070*p^60*q^876+2599332*p^58*q^878+45742*p^56*q^880+ 1068*p^54*q^882+8*p^52*q^884+8*p^89*q^846+5512*p^87*q^848+165068*p^85*q^850+ 5670320*p^83*q^852+108728542*p^81*q^854+1650679334*p^79*q^856+22009227997*p^77* q^858+242579428332*p^75*q^860+1708855717221*p^73*q^862+4283790026712*p^71*q^864 +2422837061544*p^69*q^866+406061064874*p^67*q^868+38148440823*p^65*q^870+ 2915507748*p^63*q^872+203430123*p^61*q^874+13564138*p^59*q^876+486950*p^57*q^ 878+1638*p^55*q^880+212*p^53*q^882+36*p^88*q^846+49572*p^86*q^848+697888*p^84*q ^850+25265856*p^82*q^852+398606482*p^80*q^854+5731213763*p^78*q^856+70930749880 *p^76*q^858+665529643401*p^74*q^860+3124226421844*p^72*q^862+3933149029564*p^70 *q^864+1160042065428*p^68*q^866+137838460000*p^66*q^868+11474774494*p^64*q^870+ 830639964*p^62*q^872+54828856*p^60*q^874+3258814*p^58*q^876+55848*p^56*q^878+ 656*p^54*q^880+1820*p^87*q^846+241298*p^85*q^848+4522464*p^83*q^850+95384178*p^ 81*q^852+1433909998*p^79*q^854+19314783732*p^77*q^856+215199492229*p^75*q^858+ 1569094176540*p^73*q^860+4215746412558*p^71*q^862+2577095704568*p^69*q^864+ 453658295858*p^67*q^866+43447478592*p^65*q^868+3350258299*p^63*q^870+236098904* p^61*q^872+15215834*p^59*q^874+598838*p^57*q^876+6004*p^55*q^878+136*p^53*q^880 +120*p^88*q^844+39022*p^86*q^846+540300*p^84*q^848+21353700*p^82*q^850+ 345317668*p^80*q^852+5013422544*p^78*q^854+62388725125*p^76*q^856+597710840666* p^74*q^858+2954614179723*p^72*q^860+4026011738326*p^70*q^862+1267567307994*p^68 *q^864+155554853866*p^66*q^866+13063169955*p^64*q^868+950672116*p^62*q^870+ 63207280*p^60*q^872+4162116*p^58*q^874+91984*p^56*q^876+44*p^54*q^878+12*p^52*q ^880+1016*p^87*q^844+214279*p^85*q^846+3525054*p^83*q^848+82779217*p^81*q^850+ 1249879090*p^79*q^852+16910160575*p^77*q^854+191049222470*p^75*q^856+ 1436678014888*p^73*q^858+4133851226688*p^71*q^860+2731903294901*p^69*q^862+ 505088866752*p^67*q^864+49327352195*p^65*q^866+3841235970*p^63*q^868+270033833* p^61*q^870+17185988*p^59*q^872+721306*p^57*q^874+6580*p^55*q^876+138*p^53*q^878 +20*p^88*q^842+18704*p^86*q^844+640654*p^84*q^846+18043317*p^82*q^848+301898324 *p^80*q^850+4383348754*p^78*q^852+54981816570*p^76*q^854+536263967092*p^74*q^ 856+2782154296384*p^72*q^858+4101719549886*p^70*q^860+1382892599982*p^68*q^862+ 175293705012*p^66*q^864+14933831414*p^64*q^866+1091221501*p^62*q^868+74148912*p ^60*q^870+4805678*p^58*q^872+116656*p^56*q^874+492*p^54*q^876+8*p^52*q^878+852* p^87*q^842+191920*p^85*q^844+2655025*p^83*q^846+72287022*p^81*q^848+1089579545* p^79*q^850+14845097646*p^77*q^852+169197998059*p^75*q^854+1313226385280*p^73*q^ 856+4029598112750*p^71*q^858+2885594407502*p^69*q^860+562094409277*p^67*q^862+ 56078772764*p^65*q^864+4392592413*p^63*q^866+308838960*p^61*q^868+19566178*p^59 *q^870+1059086*p^57*q^872+14540*p^55*q^874+24*p^88*q^840+12716*p^86*q^842+ 690006*p^84*q^844+14919462*p^82*q^846+262051185*p^80*q^848+3821003212*p^78*q^ 850+48348115680*p^76*q^852+479996470508*p^74*q^854+2612581282280*p^72*q^856+ 4158973361094*p^70*q^858+1503821990372*p^68*q^860+197486675052*p^66*q^862+ 17030462100*p^64*q^864+1259522476*p^62*q^866+85943020*p^60*q^868+5563742*p^58*q ^870+127176*p^56*q^872+648*p^54*q^874+12*p^52*q^876+520*p^87*q^840+125618*p^85* q^842+2168748*p^83*q^844+62014355*p^81*q^846+947804216*p^79*q^848+13005526169*p ^77*q^850+149756525038*p^75*q^852+1196984902517*p^73*q^854+3921152433592*p^71*q ^856+3034342799157*p^69*q^858+623620541192*p^67*q^860+63558893974*p^65*q^862+ 5017819866*p^63*q^864+350170084*p^61*q^866+22821832*p^59*q^868+1314010*p^57*q^ 870+19984*p^55*q^872+16*p^53*q^874+2*p^90*q^836+4*p^88*q^838+6044*p^86*q^840+ 686846*p^84*q^842+12096480*p^82*q^844+229968580*p^80*q^846+3345031418*p^78*q^ 848+42552575274*p^76*q^850+429619038229*p^74*q^852+2443390978080*p^72*q^854+ 4202193893364*p^70*q^856+1629766909980*p^68*q^858+222129314420*p^66*q^860+ 19425542200*p^64*q^862+1449312143*p^62*q^864+99584492*p^60*q^866+6108614*p^58*q ^868+204612*p^56*q^870+1484*p^54*q^872+434*p^87*q^838+91638*p^85*q^840+2161129* p^83*q^842+53618234*p^81*q^844+827303012*p^79*q^846+11388493280*p^77*q^848+ 132563950151*p^75*q^850+1087393428142*p^73*q^852+3792136823083*p^71*q^854+ 3182515564498*p^69*q^856+691224263227*p^67*q^858+72126611478*p^65*q^860+ 5753476076*p^63*q^862+404557914*p^61*q^864+26651570*p^59*q^866+1680330*p^57*q^ 868+18226*p^55*q^870+64*p^53*q^872+8*p^90*q^834+4956*p^86*q^838+582358*p^84*q^ 840+9323676*p^82*q^842+199637476*p^80*q^844+2912537342*p^78*q^846+37398898277*p ^76*q^848+383373365616*p^74*q^850+2278166871432*p^72*q^852+4225369185908*p^70*q ^854+1762705638427*p^68*q^856+249578187806*p^66*q^858+22130344413*p^64*q^860+ 1657112420*p^62*q^862+112833429*p^60*q^864+7105714*p^58*q^866+285836*p^56*q^868 +3304*p^54*q^870+24*p^89*q^834+192*p^87*q^836+52584*p^85*q^838+2050652*p^83*q^ 840+45935871*p^81*q^842+717928326*p^79*q^844+9975041919*p^77*q^846+117147339812 *p^75*q^848+987734662542*p^73*q^850+3654849748278*p^71*q^852+3321518737467*p^69 *q^854+763955098450*p^67*q^856+81625736249*p^65*q^858+6562255894*p^63*q^860+ 467029358*p^61*q^862+30991738*p^59*q^864+1841632*p^57*q^866+29792*p^55*q^868+56 *p^53*q^870+8*p^88*q^834+4192*p^86*q^836+457472*p^84*q^838+8031840*p^82*q^840+ 173774490*p^80*q^842+2553985465*p^78*q^844+32894234822*p^76*q^846+342215816603* p^74*q^848+2117529514742*p^72*q^850+4229597660884*p^70*q^852+1899339424054*p^68 *q^854+280055580720*p^66*q^856+25242275146*p^64*q^858+1905591566*p^62*q^860+ 128003920*p^60*q^862+8419574*p^58*q^864+413956*p^56*q^866+2008*p^54*q^868+4*p^ 52*q^870+120*p^89*q^832+28*p^87*q^834+32788*p^85*q^836+2018702*p^83*q^838+ 37701736*p^81*q^840+629260510*p^79*q^842+8720233084*p^77*q^844+103442597652*p^ 75*q^846+893715247644*p^73*q^848+3509260392343*p^71*q^850+3452523694964*p^69*q^ 852+843437009726*p^67*q^854+92510113252*p^65*q^856+7506080689*p^63*q^858+ 538131422*p^61*q^860+36340700*p^59*q^862+2117724*p^57*q^864+46536*p^55*q^866+ 456*p^53*q^868+112*p^88*q^832+2944*p^86*q^834+346324*p^84*q^836+6865606*p^82*q^ 838+152235809*p^80*q^840+2220671800*p^78*q^842+28896583100*p^76*q^844+ 304679567738*p^74*q^846+1962349792869*p^72*q^848+4217575673534*p^70*q^850+ 2039805963372*p^68*q^852+313813778106*p^66*q^854+28706139424*p^64*q^856+ 2183953872*p^62*q^858+147206758*p^60*q^860+9537004*p^58*q^862+513406*p^56*q^864 +3336*p^54*q^866+8*p^89*q^830+152*p^87*q^832+29380*p^85*q^834+1747636*p^83*q^ 836+31115876*p^81*q^838+545375326*p^79*q^840+7641305371*p^77*q^842+91345750584* p^75*q^844+807315862211*p^73*q^846+3357073073990*p^71*q^848+3577181633939*p^69* q^850+927485333054*p^67*q^852+104579848648*p^65*q^854+8577410214*p^63*q^856+ 618372938*p^61*q^858+40587556*p^59*q^860+2629344*p^57*q^862+72770*p^55*q^864+ 136*p^53*q^866+768*p^88*q^830+846*p^86*q^832+205696*p^84*q^834+6346022*p^82*q^ 836+131839394*p^80*q^838+1943314132*p^78*q^840+25380899108*p^76*q^842+ 271332077668*p^74*q^844+1811896563832*p^72*q^846+4187495946029*p^70*q^848+ 2184295682160*p^68*q^850+350977751942*p^66*q^852+32665309152*p^64*q^854+ 2499571093*p^62*q^856+170943752*p^60*q^858+11368862*p^58*q^860+539560*p^56*q^ 862+5768*p^54*q^864+32*p^52*q^866+8*p^89*q^828+280*p^87*q^830+24280*p^85*q^832+ 1555248*p^83*q^834+26264938*p^81*q^836+476656210*p^79*q^838+6695133252*p^77*q^ 840+80626606523*p^75*q^842+728299453882*p^73*q^844+3193969844479*p^71*q^846+ 3689891752978*p^69*q^848+1019720053577*p^67*q^850+118211815350*p^65*q^852+ 9813166966*p^63*q^854+714396312*p^61*q^856+45837600*p^59*q^858+3045992*p^57*q^ 860+126562*p^55*q^862+256*p^53*q^864+292*p^88*q^828+1444*p^86*q^830+168936*p^84 *q^832+5753724*p^82*q^834+111566872*p^80*q^836+1692356170*p^78*q^838+ 22241473163*p^76*q^840+240987970716*p^74*q^842+1669556182337*p^72*q^844+ 4135593265888*p^70*q^846+2331729909217*p^68*q^848+392222311830*p^66*q^850+ 37151170593*p^64*q^852+2859842986*p^62*q^854+196737436*p^60*q^856+13314898*p^58 *q^858+716182*p^56*q^860+7840*p^54*q^862+4*p^52*q^864+2676*p^87*q^828+11900*p^ 85*q^830+1113916*p^83*q^832+22083880*p^81*q^834+418046866*p^79*q^836+5846188939 *p^77*q^838+71136427154*p^75*q^840+655839774249*p^73*q^842+3034081085186*p^71*q ^844+3786486216714*p^69*q^846+1116448032914*p^67*q^848+133444585784*p^65*q^850+ 11172261036*p^63*q^852+816981954*p^61*q^854+52566874*p^59*q^856+3470812*p^57*q^ 858+115368*p^55*q^860+660*p^53*q^862+128*p^88*q^826+946*p^86*q^828+141050*p^84* q^830+5349902*p^82*q^832+95365644*p^80*q^834+1475239133*p^78*q^836+19554842948* p^76*q^838+214098684527*p^74*q^840+1533698628790*p^72*q^842+4072501684446*p^70* q^844+2477269147820*p^68*q^846+437461300109*p^66*q^848+42215809614*p^64*q^850+ 3285950349*p^62*q^852+228905592*p^60*q^854+14555782*p^58*q^856+923094*p^56*q^ 858+23596*p^54*q^860+8*p^52*q^862+2744*p^87*q^826+10068*p^85*q^828+853636*p^83* q^830+19322500*p^81*q^832+364460430*p^79*q^834+5127395184*p^77*q^836+ 62650748795*p^75*q^838+589155644722*p^73*q^840+2866965307504*p^71*q^842+ 3875530134590*p^69*q^844+1220133967252*p^67*q^846+150612408132*p^65*q^848+ 12776520110*p^63*q^850+938916330*p^61*q^852+60845190*p^59*q^854+4387910*p^57*q^ 856+151996*p^55*q^858+404*p^53*q^860+32*p^88*q^824+5634*p^86*q^826+97248*p^84*q ^828+4602840*p^82*q^830+80201399*p^80*q^832+1287298664*p^78*q^834+17123604525*p ^76*q^836+189900549558*p^74*q^838+1404220897501*p^72*q^840+3989910182422*p^70*q ^842+2626493857898*p^68*q^844+487004734382*p^66*q^846+47936249000*p^64*q^848+ 3752540724*p^62*q^850+263392236*p^60*q^852+16139320*p^58*q^854+1054148*p^56*q^ 856+23910*p^54*q^858+68*p^52*q^860+1200*p^87*q^824+7994*p^85*q^826+684552*p^83* q^828+17078831*p^81*q^830+315087052*p^79*q^832+4475921646*p^77*q^834+ 55217385454*p^75*q^836+528790197900*p^73*q^838+2701606343894*p^71*q^840+ 3946153496775*p^69*q^842+1329584186782*p^67*q^844+169540901913*p^65*q^846+ 14564924912*p^63*q^848+1077168574*p^61*q^850+70776316*p^59*q^852+4947706*p^57*q ^854+225080*p^55*q^856+2600*p^53*q^858+11790*p^86*q^824+66068*p^84*q^826+ 3693516*p^82*q^828+68687532*p^80*q^830+1128188163*p^78*q^832+15054361830*p^76*q ^834+168449007970*p^74*q^836+1283994060140*p^72*q^838+3891365034359*p^70*q^840+ 2771723042342*p^68*q^842+541237337036*p^66*q^844+54422127800*p^64*q^846+ 4291515422*p^62*q^848+303060162*p^60*q^850+18201453*p^58*q^852+1307910*p^56*q^ 854+23160*p^54*q^856+4*p^52*q^858+748*p^87*q^822+10088*p^85*q^824+549646*p^83*q ^826+15640500*p^81*q^828+272063518*p^79*q^830+3910451306*p^77*q^832+48592381278 *p^75*q^834+473648416030*p^73*q^836+2535059492072*p^71*q^838+4001388474510*p^69 *q^840+1445707207013*p^67*q^842+190944892146*p^65*q^844+16626406670*p^63*q^846+ 1241422290*p^61*q^848+83248127*p^59*q^850+5381318*p^57*q^852+293128*p^55*q^854+ 4796*p^53*q^856+4*p^51*q^858+8*p^88*q^820+7944*p^86*q^822+58424*p^84*q^824+ 2975176*p^82*q^826+58060194*p^80*q^828+983254896*p^78*q^830+13183001263*p^76*q^ 832+149126563184*p^74*q^834+1170336966404*p^72*q^836+3782906356262*p^70*q^838+ 2914284772671*p^68*q^840+600813311778*p^66*q^842+61680784703*p^64*q^844+ 4903458040*p^62*q^846+347347856*p^60*q^848+20808446*p^58*q^850+1706748*p^56*q^ 852+39820*p^54*q^854+112*p^52*q^856+68*p^87*q^820+28664*p^85*q^822+397622*p^83* q^824+13470950*p^81*q^826+234719216*p^79*q^828+3419618787*p^77*q^830+ 42773180288*p^75*q^832+423770886410*p^73*q^834+2372809616136*p^71*q^836+ 4039610078675*p^69*q^838+1565560558566*p^67*q^840+214537832067*p^65*q^842+ 18921501792*p^63*q^844+1422702046*p^61*q^846+96033648*p^59*q^848+5751350*p^57*q ^850+336980*p^55*q^852+2528*p^53*q^854+6672*p^86*q^820+38292*p^84*q^822+2460412 *p^82*q^824+51174756*p^80*q^826+858656315*p^78*q^828+11562185652*p^76*q^830+ 132113068989*p^74*q^832+1064270138408*p^72*q^834+3661256611155*p^70*q^836+ 3053577209080*p^68*q^838+664742385372*p^66*q^840+69939216984*p^64*q^842+ 5621344113*p^62*q^844+399814952*p^60*q^846+24814141*p^58*q^848+1913680*p^56*q^ 850+62218*p^54*q^852+692*p^52*q^854+160*p^87*q^818+32146*p^85*q^820+327498*p^83 *q^822+11429042*p^81*q^824+200772065*p^79*q^826+2992979568*p^77*q^828+ 37635847686*p^75*q^830+378564520736*p^73*q^832+2210887864440*p^71*q^834+ 4062314904092*p^69*q^836+1692188802538*p^67*q^838+240955762148*p^65*q^840+ 21578695113*p^63*q^842+1623952516*p^61*q^844+111616082*p^59*q^846+6062128*p^57* q^848+500948*p^55*q^850+4788*p^53*q^852+2098*p^86*q^818+59264*p^84*q^820+ 1984206*p^82*q^822+45006706*p^80*q^824+747379658*p^78*q^826+10126148780*p^76*q^ 828+116718845658*p^74*q^830+966191042725*p^72*q^832+3525814225074*p^70*q^834+ 3187831857393*p^68*q^836+735110554264*p^66*q^838+79175027824*p^64*q^840+ 6419727066*p^62*q^842+463503961*p^60*q^844+29090012*p^58*q^846+2153620*p^56*q^ 848+80494*p^54*q^850+240*p^52*q^852+32*p^87*q^816+33332*p^85*q^818+233622*p^83* q^820+9482734*p^81*q^822+171293242*p^79*q^824+2612047370*p^77*q^826+33083410506 *p^75*q^828+337866430982*p^73*q^830+2056515916662*p^71*q^832+4064089736473*p^69 *q^834+1821971258706*p^67*q^836+270043914475*p^65*q^838+24534527954*p^63*q^840+ 1860765638*p^61*q^842+126497276*p^59*q^844+6972970*p^57*q^846+617824*p^55*q^848 +8540*p^53*q^850+48*p^51*q^852+1490*p^86*q^816+81880*p^84*q^818+1572556*p^82*q^ 820+39396536*p^80*q^822+652804349*p^78*q^824+8885713224*p^76*q^826+103291007309 *p^74*q^828+875054559276*p^72*q^830+3387435279704*p^70*q^832+3309672563466*p^68 *q^834+810364867559*p^66*q^836+89587988502*p^64*q^838+7342108214*p^62*q^840+ 530906332*p^60*q^842+34818236*p^58*q^844+2061136*p^56*q^846+107806*p^54*q^848+ 324*p^52*q^850+20896*p^85*q^816+208120*p^83*q^818+8182662*p^81*q^820+149371798* p^79*q^822+2283996046*p^77*q^824+29092721695*p^75*q^826+301028370408*p^73*q^828 +1904539134840*p^71*q^830+4052494725018*p^69*q^832+1956260619745*p^67*q^834+ 302458220242*p^65*q^836+27957138379*p^63*q^838+2140679428*p^61*q^840+147743619* p^59*q^842+8063480*p^57*q^844+820704*p^55*q^846+16280*p^53*q^848+16*p^51*q^850+ 814*p^86*q^814+105376*p^84*q^816+1246214*p^82*q^818+33330630*p^80*q^820+ 561195908*p^78*q^822+7770027484*p^76*q^824+91149742974*p^74*q^826+790381389733* p^72*q^828+3237848267366*p^70*q^830+3430457496479*p^68*q^832+891273314790*p^66* q^834+101260525325*p^64*q^836+8376442044*p^62*q^838+606013140*p^60*q^840+ 39730076*p^58*q^842+2136900*p^56*q^844+157836*p^54*q^846+692*p^52*q^848+10880*p ^85*q^814+203520*p^83*q^816+6648860*p^81*q^818+129972236*p^79*q^820+1999638333* p^77*q^822+25569674504*p^75*q^824+268160086713*p^73*q^826+1760165608428*p^71*q^ 828+4020227133706*p^69*q^830+2093109085116*p^67*q^832+338089028426*p^65*q^834+ 31739876266*p^63*q^836+2445800804*p^61*q^838+170753580*p^59*q^840+9902944*p^57* q^842+846410*p^55*q^844+18146*p^53*q^846+8*p^51*q^848+84*p^86*q^812+104464*p^84 *q^814+995266*p^82*q^816+29194618*p^80*q^818+486237590*p^78*q^820+6815149980*p^ 76*q^822+80524082334*p^74*q^824+713611657062*p^72*q^826+3082323058460*p^70*q^ 828+3534085634796*p^68*q^830+978504685507*p^66*q^832+114354304886*p^64*q^834+ 9574118975*p^62*q^836+699697990*p^60*q^838+46267269*p^58*q^840+2200282*p^56*q^ 842+242606*p^54*q^844+1960*p^52*q^846+8*p^87*q^810+8996*p^85*q^812+243716*p^83* q^814+5526458*p^81*q^816+112412554*p^79*q^818+1749240504*p^77*q^820+22447125052 *p^75*q^822+238454194194*p^73*q^824+1621346101603*p^71*q^826+3972434560496*p^69 *q^828+2232584835430*p^67*q^830+377594592262*p^65*q^832+36120657802*p^63*q^834+ 2804253086*p^61*q^836+194702204*p^59*q^838+11899880*p^57*q^840+829040*p^55*q^ 842+29308*p^53*q^844+28*p^51*q^846+80*p^86*q^810+65928*p^84*q^812+831630*p^82*q ^814+24813822*p^80*q^816+422577354*p^78*q^818+5952425907*p^76*q^820+71011569944 *p^74*q^822+642286582411*p^72*q^824+2926169803886*p^70*q^826+3627373248828*p^68 *q^828+1071588125678*p^66*q^830+129003631539*p^64*q^832+10914416996*p^62*q^834+ 801600307*p^60*q^836+54317192*p^58*q^838+2464868*p^56*q^840+329382*p^54*q^842+ 3268*p^52*q^844+2396*p^85*q^810+321880*p^83*q^812+4445636*p^81*q^814+97016524*p ^79*q^816+1517780288*p^77*q^818+19735570062*p^75*q^820+211809497252*p^73*q^822+ 1490401456744*p^71*q^824+3908877220029*p^69*q^826+2371986263410*p^67*q^828+ 420688484577*p^65*q^830+40992231690*p^63*q^832+3209728973*p^61*q^834+223586002* p^59*q^836+13718143*p^57*q^838+816264*p^55*q^840+46208*p^53*q^842+80*p^51*q^844 +120*p^86*q^808+56904*p^84*q^810+669766*p^82*q^812+21122546*p^80*q^814+ 367441769*p^78*q^816+5234784540*p^76*q^818+62639189753*p^74*q^820+577523753708* p^72*q^822+2766667803398*p^70*q^824+3708706811066*p^68*q^826+1168883789836*p^66 *q^828+145457440824*p^64*q^830+12455977041*p^62*q^832+921262298*p^60*q^834+ 62366484*p^58*q^836+3207378*p^56*q^838+325400*p^54*q^840+3450*p^52*q^842+1484*p ^85*q^808+275944*p^83*q^810+3819430*p^81*q^812+84477203*p^79*q^814+1325716660*p ^77*q^816+17313848359*p^75*q^818+188136250548*p^73*q^820+1364316772641*p^71*q^ 822+3830198611672*p^69*q^824+2512556387999*p^67*q^826+468307703328*p^65*q^828+ 46553794874*p^63*q^830+3678446472*p^61*q^832+257712192*p^59*q^834+16671038*p^57 *q^836+649922*p^55*q^838+98828*p^53*q^840+528*p^51*q^842+32*p^86*q^806+28972*p^ 84*q^808+800980*p^82*q^810+17657231*p^80*q^812+316948956*p^78*q^814+4571440130* p^76*q^816+55170882964*p^74*q^818+518327781169*p^72*q^820+2604589788266*p^70*q^ 822+3778020135206*p^68*q^824+1274189433214*p^66*q^826+163603808831*p^64*q^828+ 14205591408*p^62*q^830+1057271476*p^60*q^832+71339402*p^58*q^834+3662139*p^56*q ^836+395228*p^54*q^838+5064*p^52*q^840+4*p^89*q^802+928*p^85*q^806+247128*p^83* q^808+2846756*p^81*q^810+72712116*p^79*q^812+1154727158*p^77*q^814+15196386094* p^75*q^816+166871146497*p^73*q^818+1248162516118*p^71*q^820+3733687207880*p^69* q^822+2650758913172*p^67*q^824+520084090441*p^65*q^826+52768776978*p^63*q^828+ 4190329653*p^61*q^830+295337812*p^59*q^832+19580370*p^57*q^834+764414*p^55*q^ 836+100990*p^53*q^838+196*p^51*q^840+32*p^86*q^804+15418*p^84*q^806+830322*p^82 *q^808+15187784*p^80*q^810+275896829*p^78*q^812+3997489578*p^76*q^814+ 48684333934*p^74*q^816+464761088522*p^72*q^818+2446658836016*p^70*q^820+ 3824750316190*p^68*q^822+1383538672479*p^66*q^824+184093137090*p^64*q^826+ 16182521978*p^62*q^828+1219555820*p^60*q^830+81789634*p^58*q^832+4596380*p^56*q ^834+296264*p^54*q^836+19504*p^52*q^838+40*p^50*q^840+740*p^85*q^804+188472*p^ 83*q^806+2499136*p^81*q^808+62977011*p^79*q^810+1006291166*p^77*q^812+ 13359061000*p^75*q^814+147765764096*p^73*q^816+1137731592770*p^71*q^818+ 3629661961250*p^69*q^820+2784548222864*p^67*q^822+576858877980*p^65*q^824+ 59853879401*p^63*q^826+4806239318*p^61*q^828+340084988*p^59*q^830+23067288*p^57 *q^832+880136*p^55*q^834+152576*p^53*q^836+272*p^51*q^838+56*p^88*q^800+8*p^86* q^802+8716*p^84*q^804+804010*p^82*q^806+12468766*p^80*q^808+238007458*p^78*q^ 810+3495139954*p^76*q^812+42776265120*p^74*q^814+415853467710*p^72*q^816+ 2288448644622*p^70*q^818+3864705295770*p^68*q^820+1497982569064*p^66*q^822+ 206755072348*p^64*q^824+18435199564*p^62*q^826+1393739965*p^60*q^828+93088974*p ^58*q^830+5575432*p^56*q^832+224092*p^54*q^834+24838*p^52*q^836+508*p^85*q^802+ 111478*p^83*q^804+2416086*p^81*q^806+53597292*p^79*q^808+876154448*p^77*q^810+ 11705292546*p^75*q^812+130965894687*p^73*q^814+1034917345588*p^71*q^816+ 3511761082880*p^69*q^818+2917095535508*p^67*q^820+637681269509*p^65*q^822+ 67718446420*p^63*q^824+5481373457*p^61*q^826+392654792*p^59*q^828+26261130*p^57 *q^830+1078514*p^55*q^832+166806*p^53*q^834+2076*p^51*q^836+8*p^88*q^798+20*p^ 86*q^800+6680*p^84*q^802+766550*p^82*q^804+9976078*p^80*q^806+207928636*p^78*q^ 808+3061001060*p^76*q^810+37738376669*p^74*q^812+371816667048*p^72*q^814+ 2133887521150*p^70*q^816+3881318323798*p^68*q^818+1617445064771*p^66*q^820+ 232040282200*p^64*q^822+21004164359*p^62*q^824+1596650756*p^60*q^826+106858469* p^58*q^828+6997940*p^56*q^830+207006*p^54*q^832+35792*p^52*q^834+316*p^87*q^798 +272*p^85*q^800+75560*p^83*q^802+2281558*p^81*q^804+47003128*p^79*q^806+ 759260154*p^77*q^808+10267404426*p^75*q^810+115844409960*p^73*q^812+ 939538901315*p^71*q^814+3381929652332*p^69*q^816+3042267635262*p^67*q^818+ 704622357512*p^65*q^820+76640168444*p^63*q^822+6270762822*p^61*q^824+457051464* p^59*q^826+30102906*p^57*q^828+1362304*p^55*q^830+119678*p^53*q^832+5072*p^51*q ^834+24*p^86*q^798+4768*p^84*q^800+572616*p^82*q^802+8645250*p^80*q^804+ 178095122*p^78*q^806+2675197409*p^76*q^808+33186839034*p^74*q^810+331822090406* p^72*q^812+1983728832258*p^70*q^814+3885090902641*p^68*q^816+1741410132556*p^66 *q^818+259899609486*p^64*q^820+23892473780*p^62*q^822+1824653858*p^60*q^824+ 121281806*p^58*q^826+8316422*p^56*q^828+215158*p^54*q^830+67566*p^52*q^832+84*p ^50*q^834+200*p^87*q^796+284*p^85*q^798+44360*p^83*q^800+2318866*p^81*q^802+ 38785848*p^79*q^804+662014672*p^77*q^806+8991236874*p^75*q^808+102443898872*p^ 73*q^810+851480006324*p^71*q^812+3247449895690*p^69*q^814+3158845112468*p^67*q^ 816+776340296813*p^65*q^818+86559662786*p^63*q^820+7160755129*p^61*q^822+ 524642942*p^59*q^824+34055520*p^57*q^826+1748624*p^55*q^828+79966*p^53*q^830+ 4224*p^51*q^832+920*p^86*q^796+3482*p^84*q^798+441746*p^82*q^800+7361996*p^80*q ^802+156713552*p^78*q^804+2336958044*p^76*q^806+29236252887*p^74*q^808+ 296026366752*p^72*q^810+1838688235749*p^70*q^812+3869024963346*p^68*q^814+ 1867495043202*p^66*q^816+290827645284*p^64*q^818+27188143547*p^62*q^820+ 2088333108*p^60*q^822+142325224*p^58*q^824+9779206*p^56*q^826+287254*p^54*q^828 +62200*p^52*q^830+708*p^50*q^832+12*p^87*q^794+392*p^85*q^796+35140*p^83*q^798+ 2109064*p^81*q^800+32903742*p^79*q^802+572804852*p^77*q^804+7891953167*p^75*q^ 806+90532861432*p^73*q^808+769372875437*p^71*q^810+3104700227312*p^69*q^812+ 3269448083519*p^67*q^814+853086945416*p^65*q^816+97923885020*p^63*q^818+ 8179454410*p^61*q^820+603283524*p^59*q^822+37831896*p^57*q^824+2348804*p^55*q^ 826+41748*p^53*q^828+16768*p^51*q^830+1576*p^86*q^794+2464*p^84*q^796+278690*p^ 82*q^798+6852928*p^80*q^800+135444382*p^78*q^802+2041129768*p^76*q^804+ 25663976542*p^74*q^806+263610159781*p^72*q^808+1698070837730*p^70*q^810+ 3840736189143*p^68*q^812+1997536262286*p^66*q^814+324989353147*p^64*q^816+ 30856751168*p^62*q^818+2388016786*p^60*q^820+166964644*p^58*q^822+11400022*p^56 *q^824+340078*p^54*q^826+54528*p^52*q^828+168*p^50*q^830+8*p^87*q^792+1536*p^85 *q^794+26834*p^83*q^796+1811728*p^81*q^798+27384626*p^79*q^800+496362052*p^77*q ^802+6913413246*p^75*q^804+79990412185*p^73*q^806+694777542436*p^71*q^808+ 2955628924107*p^69*q^810+3369500664892*p^67*q^812+935902692105*p^65*q^814+ 110296912982*p^63*q^816+9339526073*p^61*q^818+688670626*p^59*q^820+41995296*p^ 57*q^822+2860772*p^55*q^824+52870*p^53*q^826+21292*p^51*q^828+44*p^49*q^830+408 *p^86*q^792+3288*p^84*q^794+207099*p^82*q^796+6422888*p^80*q^798+116269139*p^78 *q^800+1783565988*p^76*q^802+22587381724*p^74*q^804+234631083394*p^72*q^806+ 1565777286466*p^70*q^808+3789978067554*p^68*q^810+2128640807937*p^66*q^812+ 362469090464*p^64*q^814+35078701816*p^62*q^816+2735845882*p^60*q^818+194198880* p^58*q^820+12908008*p^56*q^822+521830*p^54*q^824+18160*p^52*q^826+2232*p^50*q^ 828+5760*p^85*q^792+19196*p^83*q^794+1410540*p^81*q^796+23591266*p^79*q^798+ 436177512*p^77*q^800+6061360971*p^75*q^802+70663369712*p^73*q^804+625576451559* p^71*q^806+2805242905290*p^69*q^808+3454500076781*p^67*q^810+1024144923620*p^65 *q^812+124526875013*p^63*q^814+10670593130*p^61*q^816+788374066*p^59*q^818+ 49808166*p^57*q^820+3573196*p^55*q^822+53824*p^53*q^824+28526*p^51*q^826+200*p^ 86*q^790+2888*p^84*q^792+163384*p^82*q^794+5900570*p^80*q^796+98829880*p^78*q^ 798+1541544831*p^76*q^800+19824490740*p^74*q^802+208346436376*p^72*q^804+ 1438336449426*p^70*q^806+3731976301496*p^68*q^808+2260479255178*p^66*q^810+ 403657516568*p^64*q^812+39783370230*p^62*q^814+3127910922*p^60*q^816+225013276* p^58*q^818+13475612*p^56*q^820+701196*p^54*q^822+7918*p^52*q^824+4708*p^50*q^ 826+4056*p^85*q^790+18960*p^83*q^792+1018398*p^81*q^794+20596368*p^79*q^796+ 378666440*p^77*q^798+5322857474*p^75*q^800+62351139648*p^73*q^802+562991050652* p^71*q^804+2651819829086*p^69*q^806+3533072874200*p^67*q^808+1116529402723*p^65 *q^810+140118906740*p^63*q^812+12140064442*p^61*q^814+899567542*p^59*q^816+ 57912920*p^57*q^818+4419998*p^55*q^820+84596*p^53*q^822+16288*p^51*q^824+112*p^ 49*q^826+24*p^86*q^788+11200*p^84*q^790+121320*p^82*q^792+5322150*p^80*q^794+ 84205155*p^78*q^796+1351449564*p^76*q^798+17423507881*p^74*q^800+185286157162*p ^72*q^802+1317626431419*p^70*q^804+3652464193502*p^68*q^806+2392404816990*p^66* q^808+448970202456*p^64*q^810+45113544515*p^62*q^812+3594765528*p^60*q^814+ 260115041*p^58*q^816+14735984*p^56*q^818+912902*p^54*q^820+8542*p^52*q^822+8290 *p^50*q^824+2088*p^85*q^788+16616*p^83*q^790+828672*p^81*q^792+18322092*p^79*q^ 794+329126408*p^77*q^796+4646426835*p^75*q^798+55001129786*p^73*q^800+ 505391886429*p^71*q^802+2497455560906*p^69*q^804+3593215788169*p^67*q^806+ 1216269341538*p^65*q^808+157642339750*p^63*q^810+13865577622*p^61*q^812+ 1027654566*p^59*q^814+69378062*p^57*q^816+5047980*p^55*q^818+133382*p^53*q^820+ 1832*p^51*q^822+676*p^49*q^824+17720*p^84*q^788+99262*p^82*q^790+4220734*p^80*q ^792+72493480*p^78*q^794+1175703742*p^76*q^796+15311676134*p^74*q^798+ 164315205973*p^72*q^800+1205167915308*p^70*q^802+3561882685428*p^68*q^804+ 2522506477866*p^66*q^806+498194011061*p^64*q^808+51148611336*p^62*q^810+ 4098917765*p^60*q^812+297401814*p^58*q^814+16404212*p^56*q^816+1227720*p^54*q^ 818+9178*p^52*q^820+10502*p^50*q^822+780*p^85*q^786+16996*p^83*q^788+635062*p^ 81*q^790+16894258*p^79*q^792+282416313*p^77*q^794+4062047720*p^75*q^796+ 48459508470*p^73*q^798+453235844160*p^71*q^800+2345567098144*p^69*q^802+ 3640824276954*p^67*q^804+1319409883875*p^65*q^806+177127709400*p^63*q^808+ 15766218166*p^61*q^810+1179481244*p^59*q^812+81691583*p^57*q^814+5160348*p^55*q ^816+186854*p^53*q^818+1322*p^51*q^820+1132*p^49*q^822+8*p^86*q^784+12900*p^84* q^786+97146*p^82*q^788+3457020*p^80*q^790+61563358*p^78*q^792+1031622814*p^76*q ^794+13467402301*p^74*q^796+145758201524*p^72*q^798+1099720737775*p^70*q^800+ 3459917226114*p^68*q^802+2647995811617*p^66*q^804+551944715480*p^64*q^806+ 57869406921*p^62*q^808+4699381426*p^60*q^810+337086865*p^58*q^812+19181900*p^56 *q^814+1708470*p^54*q^816+18740*p^52*q^818+1846*p^50*q^820+48*p^48*q^822+60*p^ 85*q^784+41148*p^83*q^786+504718*p^81*q^788+14851688*p^79*q^790+246161576*p^77* q^792+3552692359*p^75*q^794+42706313736*p^73*q^796+405699353948*p^71*q^798+ 2193514197624*p^69*q^800+3672904792892*p^67*q^802+1427521388904*p^65*q^804+ 198993242314*p^63*q^806+17985935814*p^61*q^808+1355966736*p^59*q^810+96998522*p ^57*q^812+5336798*p^55*q^814+252172*p^53*q^816+640*p^51*q^818+3876*p^49*q^820+ 8152*p^84*q^784+64326*p^82*q^786+2850564*p^80*q^788+53875886*p^78*q^790+ 893828417*p^76*q^792+11800837636*p^74*q^794+129148038800*p^72*q^796+ 999734594354*p^70*q^798+3349278855201*p^68*q^800+2772458225818*p^66*q^802+ 610051883513*p^64*q^804+65467763592*p^62*q^806+5368164543*p^60*q^808+383843450* p^58*q^810+23054386*p^56*q^812+1962810*p^54*q^814+27832*p^52*q^816+128*p^50*q^ 818+48*p^48*q^820+188*p^85*q^782+48068*p^83*q^784+452708*p^81*q^786+12430410*p^ 79*q^788+210488442*p^77*q^790+3107447736*p^75*q^792+37640001472*p^73*q^794+ 362930050556*p^71*q^796+2045551133712*p^69*q^798+3690727841860*p^67*q^800+ 1540219420080*p^65*q^802+222761458390*p^63*q^804+20425559415*p^61*q^806+ 1549770596*p^59*q^808+111521738*p^57*q^810+5343940*p^55*q^812+413406*p^53*q^814 +1900*p^51*q^816+1540*p^49*q^818+2048*p^84*q^782+77926*p^82*q^784+2278624*p^80* q^786+48436089*p^78*q^788+779783286*p^76*q^790+10372133741*p^74*q^792+ 114413353392*p^72*q^794+908656366934*p^70*q^796+3222455891010*p^68*q^798+ 2890187523595*p^66*q^800+673312258998*p^64*q^802+74029117210*p^62*q^804+ 6140765428*p^60*q^806+440699787*p^58*q^808+28196002*p^56*q^810+2148390*p^54*q^ 812+42944*p^52*q^814+30*p^50*q^816+746*p^48*q^818+36*p^85*q^780+43056*p^83*q^ 782+364402*p^81*q^784+10786282*p^79*q^786+180290912*p^77*q^788+2721915678*p^75* q^790+33147224090*p^73*q^792+324064555345*p^71*q^794+1901905894334*p^69*q^796+ 3688190424684*p^67*q^798+1656957421440*p^65*q^800+249658451903*p^63*q^802+ 23231386738*p^61*q^804+1785637122*p^59*q^806+127039006*p^57*q^808+6021610*p^55* q^810+587860*p^53*q^812+2386*p^51*q^814+4*p^49*q^816+1928*p^84*q^780+114856*p^ 82*q^782+1919122*p^80*q^784+41572420*p^78*q^786+679623564*p^76*q^788+9074085456 *p^74*q^790+101153474704*p^72*q^792+823218475138*p^70*q^794+3095399402771*p^68* q^796+2998339914854*p^66*q^798+741451610824*p^64*q^800+83628101226*p^62*q^802+ 7010739843*p^60*q^804+500861562*p^58*q^806+34765492*p^56*q^808+2051760*p^54*q^ 810+66450*p^52*q^812+120*p^50*q^814+752*p^48*q^816+21924*p^83*q^780+272440*p^81 *q^782+8944418*p^79*q^784+157629181*p^77*q^786+2369387872*p^75*q^788+ 29179631926*p^73*q^790+289222154114*p^71*q^792+1763053620475*p^69*q^794+ 3676544222306*p^67*q^796+1775029196522*p^65*q^798+278879832812*p^63*q^800+ 26374346418*p^61*q^802+2042293746*p^59*q^804+144866765*p^57*q^806+6912894*p^55* q^808+766824*p^53*q^810+6148*p^51*q^812+58*p^47*q^816+912*p^84*q^778+136210*p^ 82*q^780+1677800*p^80*q^782+36319250*p^78*q^784+588356876*p^76*q^786+7986176370 *p^74*q^788+89551458884*p^72*q^790+744455836119*p^70*q^792+2957912135408*p^68*q ^794+3101878864018*p^66*q^796+813862422736*p^64*q^798+94392957251*p^62*q^800+ 7998030690*p^60*q^802+577717442*p^58*q^804+40657472*p^56*q^806+1889102*p^54*q^ 808+118824*p^52*q^810+106*p^50*q^812+13628*p^83*q^778+276926*p^81*q^780+7539984 *p^79*q^782+137186440*p^77*q^784+2077231097*p^75*q^786+25668024266*p^73*q^788+ 257621146555*p^71*q^790+1628413898710*p^69*q^792+3643774335379*p^67*q^794+ 1898093405336*p^65*q^796+311585280655*p^63*q^798+29971609832*p^61*q^800+ 2353827396*p^59*q^802+163833966*p^57*q^804+9165976*p^55*q^806+903716*p^53*q^808 +8264*p^51*q^810+4*p^49*q^812+212*p^47*q^814+92*p^84*q^776+114048*p^82*q^778+ 1300290*p^80*q^780+31354362*p^78*q^782+507804960*p^76*q^784+6987740080*p^74*q^ 786+79106276416*p^72*q^788+672169026026*p^70*q^790+2816221357046*p^68*q^792+ 3194414202310*p^66*q^794+892203335130*p^64*q^796+106326546328*p^62*q^798+ 9121143086*p^60*q^800+660254586*p^58*q^802+47730009*p^56*q^804+1698960*p^54*q^ 806+184450*p^52*q^808+508*p^50*q^810+24*p^85*q^774+9876*p^83*q^776+314775*p^81* q^778+6552656*p^79*q^780+118614212*p^77*q^782+1813449980*p^75*q^784+22590003313 *p^73*q^786+229455866960*p^71*q^788+1501483683786*p^69*q^790+3598366742710*p^67 *q^792+2020688492154*p^65*q^794+347040383368*p^63*q^796+34014597661*p^61*q^798+ 2687421646*p^59*q^800+186163094*p^57*q^802+11447178*p^55*q^804+851890*p^53*q^ 806+15228*p^51*q^808+4*p^49*q^810+24*p^84*q^774+75226*p^82*q^776+1080410*p^80*q ^778+26794308*p^78*q^780+443712344*p^76*q^782+6124181887*p^74*q^784+69919813068 *p^72*q^786+605901089072*p^70*q^788+2671867230492*p^68*q^790+3274383930872*p^66 *q^792+975263519090*p^64*q^794+119818108997*p^62*q^796+10387757306*p^60*q^798+ 764492085*p^58*q^800+54736392*p^56*q^802+1975810*p^54*q^804+295952*p^52*q^806+ 1148*p^50*q^808+32*p^46*q^812+8*p^85*q^772+2900*p^83*q^774+361408*p^81*q^776+ 5500817*p^79*q^778+103738816*p^77*q^780+1579488477*p^75*q^782+19883119388*p^73* q^784+204082994503*p^71*q^786+1379702363146*p^69*q^788+3537405647251*p^67*q^790 +2144295102538*p^65*q^792+386472663265*p^63*q^794+38552432344*p^61*q^796+ 3084629626*p^59*q^798+210533180*p^57*q^800+14117859*p^55*q^802+700128*p^53*q^ 804+26596*p^51*q^806+12*p^49*q^808+2*p^88*q^768+356*p^84*q^772+62092*p^82*q^774 +888914*p^80*q^776+23303474*p^78*q^778+384138504*p^76*q^780+5365203298*p^74*q^ 782+61675949808*p^72*q^784+544755484072*p^70*q^786+2526254878001*p^68*q^788+ 3345006316466*p^66*q^790+1063132451537*p^64*q^792+134895403892*p^62*q^794+ 11847557332*p^60*q^796+882162568*p^58*q^798+62633221*p^56*q^800+2666242*p^54*q^ 802+346272*p^52*q^804+1024*p^50*q^806+12*p^85*q^770+1032*p^83*q^772+300726*p^81 *q^774+4604840*p^79*q^776+88878577*p^77*q^778+1375788716*p^75*q^780+17464561366 *p^73*q^782+181461460562*p^71*q^784+1264778498878*p^69*q^786+3465528130764*p^67 *q^788+2267257359425*p^65*q^790+428927978850*p^63*q^792+43627365464*p^61*q^794+ 3513207374*p^59*q^796+239524518*p^57*q^798+17016638*p^55*q^800+482032*p^53*q^ 802+62784*p^51*q^804+124*p^49*q^806+2*p^45*q^810+156*p^84*q^770+32464*p^82*q^ 772+941782*p^80*q^774+20138978*p^78*q^776+335162040*p^76*q^778+4705981501*p^74* q^780+54500505374*p^72*q^782+489768947382*p^70*q^784+2378135569788*p^68*q^786+ 3401687275147*p^66*q^788+1156026329018*p^64*q^790+151541812802*p^62*q^792+ 13513711600*p^60*q^794+1017187694*p^58*q^796+70135280*p^56*q^798+3454553*p^54*q ^800+373696*p^52*q^802+2012*p^50*q^804+32*p^87*q^766+2272*p^83*q^770+264604*p^ 81*q^772+3665629*p^79*q^774+78024026*p^77*q^776+1201555124*p^75*q^778+ 15361639570*p^73*q^780+160984299096*p^71*q^782+1156623530130*p^69*q^784+ 3375142513715*p^67*q^786+2390058229432*p^65*q^788+476078968714*p^63*q^790+ 49466907878*p^61*q^792+4015919087*p^59*q^794+278059308*p^57*q^796+20635348*p^55 *q^798+533728*p^53*q^800+91332*p^51*q^802+20*p^49*q^804+200*p^84*q^768+15528*p^ 82*q^770+929310*p^80*q^772+17310922*p^78*q^774+288282177*p^76*q^776+4107436192* p^74*q^778+48038169482*p^72*q^780+439206628632*p^70*q^782+2233896276666*p^68*q^ 784+3443157115444*p^66*q^786+1253563645220*p^64*q^788+170162180198*p^62*q^790+ 15355803080*p^60*q^792+1169799608*p^58*q^794+77036334*p^56*q^796+4401134*p^54*q ^798+262510*p^52*q^800+8276*p^50*q^802+4*p^48*q^804+8*p^85*q^766+1820*p^83*q^ 768+197968*p^81*q^770+3029748*p^79*q^772+67403013*p^77*q^774+1048535504*p^75*q^ 776+13500083700*p^73*q^778+142893347564*p^71*q^780+1055320008315*p^69*q^782+ 3280849703194*p^67*q^784+2506125690776*p^65*q^786+526765860852*p^63*q^788+ 55915898922*p^61*q^790+4587624654*p^59*q^792+320961083*p^57*q^794+24148844*p^55 *q^796+676446*p^53*q^798+134664*p^51*q^800+48*p^49*q^802+212*p^86*q^764+32*p^84 *q^766+11766*p^82*q^768+854192*p^80*q^770+14745085*p^78*q^772+252123374*p^76*q^ 774+3598491999*p^74*q^776+42407850706*p^72*q^778+393589804818*p^70*q^780+ 2089304999074*p^68*q^782+3473617490186*p^66*q^784+1354703088376*p^64*q^786+ 190760721604*p^62*q^788+17474813520*p^60*q^790+1342404772*p^58*q^792+86810538*p ^56*q^794+5707084*p^54*q^796+151156*p^52*q^798+15460*p^50*q^800+1664*p^83*q^766 +123240*p^81*q^768+2887354*p^79*q^770+58765428*p^77*q^772+911460802*p^75*q^774+ 11853748324*p^73*q^776+126690861532*p^71*q^778+959923564322*p^69*q^780+ 3170638019633*p^67*q^782+2623000166726*p^65*q^784+581875440545*p^63*q^786+ 63246392382*p^61*q^788+5251256733*p^59*q^790+374940910*p^57*q^792+26879978*p^55 *q^794+940842*p^53*q^796+153678*p^51*q^798+560*p^49*q^800+56*p^86*q^762+136*p^ 84*q^764+12624*p^82*q^766+787076*p^80*q^768+11836588*p^78*q^770+218191054*p^76* q^772+3148553674*p^74*q^774+37365192735*p^72*q^776+352026541430*p^70*q^778+ 1948353883823*p^68*q^780+3486684907696*p^66*q^782+1461261323645*p^64*q^784+ 213706251964*p^62*q^786+19853063408*p^60*q^788+1527761512*p^58*q^790+97950829*p ^56*q^792+7378724*p^54*q^794+122524*p^52*q^796+26108*p^50*q^798+752*p^85*q^762+ 812*p^83*q^764+75860*p^81*q^766+2542010*p^79*q^768+51718778*p^77*q^770+ 791796074*p^75*q^772+10398668317*p^73*q^774+112248044670*p^71*q^776+ 872758270989*p^69*q^778+3053537791660*p^67*q^780+2730715175023*p^65*q^782+ 641315335186*p^63*q^784+71387408381*p^61*q^786+5990597900*p^59*q^788+437346800* p^57*q^790+29638774*p^55*q^792+1205484*p^53*q^794+94676*p^51*q^796+1924*p^49*q^ 798+12*p^84*q^762+10370*p^82*q^764+613868*p^80*q^766+10255766*p^78*q^768+ 189199576*p^76*q^770+2759882745*p^74*q^772+32957368310*p^72*q^774+314753394833* p^70*q^776+1811720938084*p^68*q^778+3485055626920*p^66*q^780+1569444802640*p^64 *q^782+239051627531*p^62*q^784+22562672004*p^60*q^786+1747621798*p^58*q^788+ 112654082*p^56*q^790+8963872*p^54*q^792+167348*p^52*q^794+53552*p^50*q^796+12*p ^48*q^798+716*p^85*q^760+1048*p^83*q^762+63732*p^81*q^764+2453308*p^79*q^766+ 43764806*p^77*q^768+692891173*p^75*q^770+9120911180*p^73*q^772+99367991012*p^71 *q^774+790824070890*p^69*q^776+2929848026845*p^67*q^778+2832233990920*p^65*q^ 780+705818238337*p^63*q^782+80597009022*p^61*q^784+6848038741*p^59*q^786+ 505436468*p^57*q^788+32072795*p^55*q^790+1757984*p^53*q^792+48080*p^51*q^794+ 2196*p^49*q^796+1542*p^84*q^760+8244*p^82*q^762+441998*p^80*q^764+8665466*p^78* q^766+166734888*p^76*q^768+2402081776*p^74*q^770+29017740043*p^72*q^772+ 280694891982*p^70*q^774+1679225560910*p^68*q^776+3469997189574*p^66*q^778+ 1681426864936*p^64*q^780+267024178774*p^62*q^782+25601366016*p^60*q^784+ 2001356858*p^58*q^786+132168234*p^56*q^788+10541558*p^54*q^790+207514*p^52*q^ 792+51372*p^50*q^794+148*p^48*q^796+48*p^85*q^758+492*p^83*q^760+55908*p^81*q^ 762+2212168*p^79*q^764+37034752*p^77*q^766+597077008*p^75*q^768+8015179724*p^73 *q^770+87971471304*p^71*q^772+715472910030*p^69*q^774+2801846201376*p^67*q^776+ 2927236221839*p^65*q^778+773694935042*p^63*q^780+90834900424*p^61*q^782+ 7806759168*p^59*q^784+575924975*p^57*q^786+34539416*p^55*q^788+2365362*p^53*q^ 790+27644*p^51*q^792+10144*p^49*q^794+3680*p^84*q^758+6040*p^82*q^760+309212*p^ 80*q^762+7667302*p^78*q^764+145660580*p^76*q^766+2110547975*p^74*q^768+ 25563144476*p^72*q^770+250511486208*p^70*q^772+1551314689920*p^68*q^774+ 3439229290109*p^66*q^776+1794868940030*p^64*q^778+297741824945*p^62*q^780+ 29055829666*p^60*q^782+2289986590*p^58*q^784+158660820*p^56*q^786+11681049*p^54 *q^788+298834*p^52*q^790+34856*p^50*q^792+44*p^48*q^794+48*p^85*q^756+1880*p^83 *q^758+50876*p^81*q^760+1870860*p^79*q^762+31654116*p^77*q^764+521297397*p^75*q ^766+7025975244*p^73*q^768+77810002533*p^71*q^770+646205017404*p^69*q^772+ 2664109297674*p^67*q^774+3014114812902*p^65*q^776+847822611437*p^63*q^778+ 102351615632*p^61*q^780+8913666467*p^59*q^782+662809974*p^57*q^784+38045290*p^ 55*q^786+3213542*p^53*q^788+34732*p^51*q^790+15836*p^49*q^792+4*p^47*q^794+1104 *p^84*q^756+5682*p^82*q^758+263098*p^80*q^760+7014204*p^78*q^762+125414044*p^76 *q^764+1836389758*p^74*q^766+22467727578*p^72*q^768+223002902356*p^70*q^770+ 1430456631062*p^68*q^772+3392929428768*p^66*q^774+1910510613170*p^64*q^776+ 331705730938*p^62*q^778+32890632743*p^60*q^780+2619045466*p^58*q^782+184098498* p^56*q^784+12587912*p^54*q^786+458892*p^52*q^788+12672*p^50*q^790+912*p^48*q^ 792+9820*p^83*q^756+35068*p^81*q^758+1423202*p^79*q^760+26587201*p^77*q^762+ 456947766*p^75*q^764+6157174412*p^73*q^766+68835416762*p^71*q^768+582803759927* p^69*q^770+2529729011996*p^67*q^772+3084971922661*p^65*q^774+925738281302*p^63* q^776+115109536456*p^61*q^778+10148846462*p^59*q^780+753227119*p^57*q^782+ 44808000*p^55*q^784+3853818*p^53*q^786+34352*p^51*q^788+17032*p^49*q^790+680*p^ 84*q^754+2674*p^82*q^756+240560*p^80*q^758+6295224*p^78*q^760+108847858*p^76*q^ 762+1600011781*p^74*q^764+19804806746*p^72*q^766+198510238754*p^70*q^768+ 1314920341676*p^68*q^770+3336235952357*p^66*q^772+2024195432360*p^64*q^774+ 368684805324*p^62*q^776+37320675266*p^60*q^778+3005310812*p^58*q^780+216002098* p^56*q^782+12682328*p^54*q^784+732850*p^52*q^786+5634*p^50*q^788+2732*p^48*q^ 790+7888*p^83*q^754+34914*p^81*q^756+1122070*p^79*q^758+23326978*p^77*q^760+ 398970271*p^75*q^762+5411024116*p^73*q^764+60764787317*p^71*q^766+524314007452* p^69*q^768+2389854917570*p^67*q^770+3151571373424*p^65*q^772+1007924228616*p^63 *q^774+129522707276*p^61*q^776+11550882363*p^59*q^778+862331872*p^57*q^780+ 53514880*p^55*q^782+4717840*p^53*q^784+63968*p^51*q^786+10676*p^49*q^788+20*p^ 47*q^790+104*p^84*q^752+15308*p^82*q^754+186536*p^80*q^756+5442092*p^78*q^758+ 92273086*p^76*q^760+1395460960*p^74*q^762+17385473785*p^72*q^764+176494578360*p ^70*q^766+1205061998149*p^68*q^768+3264727531036*p^66*q^770+2140414830740*p^64* q^772+409184400114*p^62*q^774+42191134548*p^60*q^776+3444831090*p^58*q^778+ 247633740*p^56*q^780+13023872*p^54*q^782+984540*p^52*q^784+3560*p^50*q^786+4280 *p^48*q^788+4768*p^83*q^752+20000*p^81*q^754+991872*p^79*q^756+20349342*p^77*q^ 758+347800804*p^75*q^760+4738279724*p^73*q^762+53699199660*p^71*q^764+ 471411173205*p^69*q^766+2251131137358*p^67*q^768+3201973958086*p^65*q^770+ 1095078706270*p^63*q^772+145320757333*p^61*q^774+13136967200*p^59*q^776+ 980595733*p^57*q^778+64789438*p^55*q^780+5084136*p^53*q^782+116324*p^51*q^784+ 1780*p^49*q^786+272*p^47*q^788+26270*p^82*q^752+159992*p^80*q^754+4394222*p^78* q^756+79833672*p^76*q^758+1221471246*p^74*q^760+15313155474*p^72*q^762+ 156903446546*p^70*q^764+1102678337776*p^68*q^766+3180714156039*p^66*q^768+ 2251988388018*p^64*q^770+453346219298*p^62*q^772+47758795330*p^60*q^774+ 3944313771*p^58*q^776+285536386*p^56*q^778+14338460*p^54*q^780+1348952*p^52*q^ 782+5684*p^50*q^784+5608*p^48*q^786+2160*p^83*q^750+21834*p^81*q^752+839640*p^ 79*q^754+18157962*p^77*q^756+302008767*p^75*q^758+4141617226*p^73*q^760+ 47412518966*p^71*q^762+422951157864*p^69*q^764+2112531787555*p^67*q^766+ 3239856358978*p^65*q^768+1186626763300*p^63*q^770+163075751184*p^61*q^772+ 14945972465*p^59*q^774+1129651054*p^57*q^776+77187072*p^55*q^778+4998964*p^53*q ^780+192410*p^51*q^782+496*p^49*q^784+472*p^47*q^786+42*p^84*q^748+21516*p^82*q ^750+136764*p^80*q^752+3737334*p^78*q^754+68502490*p^76*q^756+1066053962*p^74*q ^758+13462911865*p^72*q^760+139144779656*p^70*q^762+1006131241705*p^68*q^764+ 3088240901566*p^66*q^766+2362376889072*p^64*q^768+501436775254*p^62*q^770+ 53943082051*p^60*q^772+4507378806*p^58*q^774+322651653*p^56*q^776+17049228*p^54 *q^778+1814954*p^52*q^780+12576*p^50*q^782+1512*p^48*q^784+12*p^46*q^786+148*p^ 83*q^748+49992*p^81*q^750+666782*p^79*q^752+15597742*p^77*q^754+261085458*p^75* q^756+3624195951*p^73*q^758+41800940618*p^71*q^760+379222122997*p^69*q^762+ 1977312001128*p^67*q^764+3264775071299*p^65*q^766+1280979625954*p^63*q^768+ 182662849098*p^61*q^770+16955297648*p^59*q^772+1295858484*p^57*q^774+91052618*p ^55*q^776+4731638*p^53*q^778+259554*p^51*q^780+240*p^49*q^782+1556*p^47*q^784+ 16556*p^82*q^748+86322*p^80*q^750+3297038*p^78*q^752+59538372*p^76*q^754+ 934525033*p^74*q^756+11842004738*p^72*q^758+123648082835*p^70*q^760+ 915850593818*p^68*q^762+2985799171222*p^66*q^764+2467325670254*p^64*q^766+ 553026977437*p^62*q^768+60939509800*p^60*q^770+5150268814*p^58*q^772+365511426* p^56*q^774+21187408*p^54*q^776+1997934*p^52*q^778+27224*p^50*q^780+60*p^48*q^ 782+16*p^46*q^784+678*p^83*q^746+61584*p^81*q^748+629072*p^79*q^750+13223106*p^ 77*q^752+226687884*p^75*q^754+3175675194*p^73*q^756+36879268619*p^71*q^758+ 339282562794*p^69*q^760+1842470415965*p^67*q^762+3276842447320*p^65*q^764+ 1380114473007*p^63*q^766+204505708302*p^61*q^768+19301536692*p^59*q^770+ 1495418402*p^57*q^772+107775406*p^55*q^774+4527244*p^53*q^776+462766*p^51*q^778 +968*p^49*q^780+924*p^47*q^782+4088*p^82*q^746+94290*p^80*q^748+2647962*p^78*q^ 750+52138379*p^76*q^752+811344190*p^74*q^754+10380367126*p^72*q^756+ 109472385356*p^70*q^758+832455730048*p^68*q^760+2873152258386*p^66*q^762+ 2569760316073*p^64*q^764+609200006956*p^62*q^766+68720812645*p^60*q^768+ 5859096894*p^58*q^770+416666901*p^56*q^772+25457310*p^54*q^774+2111580*p^52*q^ 776+36644*p^50*q^778+4*p^48*q^780+200*p^46*q^782+72*p^83*q^744+67980*p^81*q^746 +476638*p^79*q^748+11621712*p^77*q^750+194707068*p^75*q^752+2781950897*p^73*q^ 754+32554473708*p^71*q^756+303492550846*p^69*q^758+1714534772988*p^67*q^760+ 3271804966275*p^65*q^762+1481322317488*p^63*q^764+228414334243*p^61*q^766+ 21849367908*p^59*q^768+1719264006*p^57*q^770+120618986*p^55*q^772+5282452*p^53* q^774+593184*p^51*q^776+2350*p^49*q^778+4*p^47*q^780+8*p^84*q^742+4928*p^82*q^ 744+120876*p^80*q^746+2360168*p^78*q^748+44919748*p^76*q^750+711330996*p^74*q^ 752+9126176572*p^72*q^754+97043071235*p^70*q^756+754724572994*p^68*q^758+ 2757188651946*p^66*q^760+2660422458622*p^64*q^762+669516430648*p^62*q^764+ 77527076932*p^60*q^766+6702845893*p^58*q^768+476302264*p^56*q^770+32701910*p^54 *q^772+1770016*p^52*q^774+76078*p^50*q^776+40*p^48*q^778+316*p^46*q^780+36484*p ^81*q^744+371086*p^79*q^746+9882322*p^77*q^748+170001333*p^75*q^750+2430859428* p^73*q^752+28685437306*p^71*q^754+270938397434*p^69*q^756+1588376885158*p^67*q^ 758+3257389146386*p^65*q^760+1585070134276*p^63*q^762+254913276518*p^61*q^764+ 24823761845*p^59*q^766+1973509192*p^57*q^768+137799360*p^55*q^770+6002598*p^53* q^772+805208*p^51*q^774+4708*p^49*q^776+8*p^45*q^780+4*p^84*q^740+1904*p^82*q^ 742+173848*p^80*q^744+2062128*p^78*q^746+38772980*p^76*q^748+616036542*p^74*q^ 750+8009548790*p^72*q^752+85906875282*p^70*q^754+682822944759*p^68*q^756+ 2633738873030*p^66*q^758+2750310427209*p^64*q^760+733456128986*p^62*q^762+ 87312936224*p^60*q^764+7616507640*p^58*q^766+550498574*p^56*q^768+38456404*p^54 *q^770+1634494*p^52*q^772+119118*p^50*q^774+116*p^48*q^776+96*p^83*q^740+24942* p^81*q^742+294514*p^79*q^744+8338688*p^77*q^746+147525984*p^75*q^748+2128342776 *p^73*q^750+25257430788*p^71*q^752+241804318627*p^69*q^754+1468117675624*p^67*q ^756+3225752096179*p^65*q^758+1691167415336*p^63*q^760+284074233879*p^61*q^762+ 28077022056*p^59*q^764+2262664329*p^57*q^766+154252872*p^55*q^768+8081818*p^53* q^770+809656*p^51*q^772+7392*p^49*q^774+56*p^45*q^778+8*p^84*q^738+232*p^82*q^ 740+160760*p^80*q^742+1693702*p^78*q^744+34022336*p^76*q^746+535202513*p^74*q^ 748+7040635908*p^72*q^750+76108126854*p^70*q^752+617361604776*p^68*q^754+ 2506232746320*p^66*q^756+2825796912414*p^64*q^758+802580759096*p^62*q^760+ 98192987140*p^60*q^762+8679635472*p^58*q^764+634728184*p^56*q^766+45201686*p^54 *q^768+1454360*p^52*q^770+202662*p^50*q^772+444*p^48*q^774+104*p^83*q^738+18638 *p^81*q^740+354292*p^79*q^742+7438044*p^77*q^744+127802682*p^75*q^746+ 1866873450*p^73*q^748+22242737861*p^71*q^750+215433140628*p^69*q^752+ 1353191304992*p^67*q^754+3180910444810*p^65*q^756+1797548717309*p^63*q^758+ 316115174842*p^61*q^760+31880888761*p^59*q^762+2594316136*p^57*q^764+174502410* p^55*q^766+10583094*p^53*q^768+738506*p^51*q^770+16296*p^49*q^772+4*p^47*q^774+ 642*p^82*q^738+109736*p^80*q^740+1291496*p^78*q^742+28865424*p^76*q^744+ 466896998*p^74*q^746+6154689734*p^72*q^748+67271414458*p^70*q^750+556525656312* p^68*q^752+2377789048198*p^66*q^754+2894491917996*p^64*q^756+875613036574*p^62* q^758+110428715472*p^60*q^760+9866400222*p^58*q^762+734417962*p^56*q^764+ 51896230*p^54*q^766+1605708*p^52*q^768+279538*p^50*q^770+536*p^48*q^772+4*p^44* q^776+136*p^83*q^736+4656*p^81*q^738+443360*p^79*q^740+6421238*p^77*q^742+ 110900928*p^75*q^744+1623071124*p^73*q^746+19614741696*p^71*q^748+191794566662* p^69*q^750+1244790343386*p^67*q^752+3125717724854*p^65*q^754+1903478538524*p^63 *q^756+350848955137*p^61*q^758+35998874220*p^59*q^760+2960699533*p^57*q^762+ 197342836*p^55*q^764+13062706*p^53*q^766+607136*p^51*q^768+30278*p^49*q^770+12* p^47*q^772+1056*p^82*q^736+98930*p^80*q^738+1017090*p^78*q^740+25163010*p^76*q^ 742+407148168*p^74*q^744+5425819592*p^72*q^746+59480092915*p^70*q^748+ 501276560190*p^68*q^750+2246769651171*p^66*q^752+2951257782328*p^64*q^754+ 952264989371*p^62*q^756+124140736804*p^60*q^758+11231737220*p^58*q^760+ 850344992*p^56*q^762+58535638*p^54*q^764+2353060*p^52*q^766+288932*p^50*q^768+ 1408*p^48*q^770+8*p^83*q^734+4478*p^81*q^736+385858*p^79*q^738+5538516*p^77*q^ 740+96154016*p^75*q^742+1420426008*p^73*q^744+17241857040*p^71*q^746+ 170761983226*p^69*q^748+1140064796823*p^67*q^750+3058212998058*p^65*q^752+ 2009773182734*p^63*q^754+389109806888*p^61*q^756+40726360125*p^59*q^758+ 3385913264*p^57*q^760+227811093*p^55*q^762+16124328*p^53*q^764+382830*p^51*q^ 766+67254*p^49*q^768+60*p^47*q^770+1112*p^82*q^734+45887*p^80*q^736+1101654*p^ 78*q^738+21747786*p^76*q^740+353104424*p^74*q^742+4742222006*p^72*q^744+ 52552478376*p^70*q^746+450476967765*p^68*q^748+2115048964248*p^66*q^750+ 2999125920332*p^64*q^752+1033953585336*p^62*q^754+139128989058*p^60*q^756+ 12787559732*p^58*q^758+981776339*p^56*q^760+64480516*p^54*q^762+3012960*p^52*q^ 764+318442*p^50*q^766+2332*p^48*q^768+5640*p^81*q^734+360654*p^79*q^736+4195968 *p^77*q^738+83247350*p^75*q^740+1239367485*p^73*q^742+15183390868*p^71*q^744+ 151793034931*p^69*q^746+1044336420920*p^67*q^748+2976676227151*p^65*q^750+ 2114350743782*p^63*q^752+430463385767*p^61*q^754+45972280700*p^59*q^756+ 3841195261*p^57*q^758+262899374*p^55*q^760+19192456*p^53*q^762+446924*p^51*q^ 764+72598*p^49*q^766+60*p^47*q^768+372*p^82*q^732+31260*p^80*q^734+1094776*p^78 *q^736+19541120*p^76*q^738+307542501*p^74*q^740+4160926198*p^72*q^742+ 46472981456*p^70*q^744+404694310502*p^68*q^746+1985458403617*p^66*q^748+ 3029215546754*p^64*q^750+1118756949924*p^62*q^752+156022706606*p^60*q^754+ 14520477999*p^58*q^756+1135285956*p^56*q^758+71847285*p^54*q^760+4205588*p^52*q ^762+201460*p^50*q^764+10840*p^48*q^766+4*p^46*q^768+8*p^83*q^730+6484*p^81*q^ 732+261172*p^79*q^734+3617534*p^77*q^736+71767373*p^75*q^738+1083700484*p^73*q^ 740+13357111270*p^71*q^742+134718364964*p^69*q^744+952579837401*p^67*q^746+ 2890280343300*p^65*q^748+2213662882586*p^63*q^750+475887732460*p^61*q^752+ 51978842800*p^59*q^754+4396318066*p^57*q^756+306153943*p^55*q^758+22219696*p^53 *q^760+539854*p^51*q^762+115028*p^49*q^764+72*p^47*q^766+32*p^82*q^730+24286*p^ 80*q^732+1067426*p^78*q^734+16381010*p^76*q^736+267097494*p^74*q^738+3642535373 *p^72*q^740+40977698990*p^70*q^742+362826187396*p^68*q^744+1857342489042*p^66*q ^746+3053373416517*p^64*q^748+1206513604324*p^62*q^750+174534641796*p^60*q^752+ 16470965474*p^58*q^754+1295350318*p^56*q^756+80348436*p^54*q^758+5235358*p^52*q ^760+127904*p^50*q^762+12586*p^48*q^764+4492*p^81*q^730+172844*p^79*q^732+ 3283302*p^77*q^734+62754188*p^75*q^736+946232960*p^73*q^738+11736020288*p^71*q^ 740+119700492608*p^69*q^742+867345043256*p^67*q^744+2792579848922*p^65*q^746+ 2312507891262*p^63*q^748+524076290954*p^61*q^750+58595758626*p^59*q^752+ 5017029608*p^57*q^754+360037012*p^55*q^756+24421329*p^53*q^758+862584*p^51*q^ 760+107402*p^49*q^762+940*p^47*q^764+144*p^82*q^728+28548*p^80*q^730+977420*p^ 78*q^732+13490514*p^76*q^734+231814329*p^74*q^736+3192167454*p^72*q^738+ 36229892101*p^70*q^740+324914917848*p^68*q^742+1731923417299*p^66*q^744+ 3059857023376*p^64*q^746+1298427708952*p^62*q^748+195111024946*p^60*q^750+ 18686012244*p^58*q^752+1477114344*p^56*q^754+91055395*p^54*q^756+6810906*p^52*q ^758+95182*p^50*q^760+23504*p^48*q^762+1084*p^81*q^728+123890*p^79*q^730+ 3059338*p^77*q^732+55794256*p^75*q^734+824657930*p^73*q^736+10333361306*p^71*q^ 738+106128560508*p^69*q^740+788477916622*p^67*q^742+2685953911262*p^65*q^744+ 2403729948469*p^63*q^746+576927087038*p^61*q^748+66102972983*p^59*q^750+ 5729223940*p^57*q^752+421818292*p^55*q^754+26958964*p^53*q^756+1142770*p^51*q^ 758+73110*p^49*q^760+2026*p^47*q^762+52*p^82*q^726+28172*p^80*q^728+750112*p^78 *q^730+11621990*p^76*q^732+199504170*p^74*q^734+2795048238*p^72*q^736+ 31912786304*p^70*q^738+290575375958*p^68*q^740+1609939513812*p^66*q^742+ 3056198992679*p^64*q^744+1392606238084*p^62*q^746+217778026244*p^60*q^748+ 21188263582*p^58*q^750+1686474014*p^56*q^752+105275450*p^54*q^754+8085479*p^52* q^756+128566*p^50*q^758+36554*p^48*q^760+28*p^46*q^762+1276*p^81*q^726+103188*p ^79*q^728+2939774*p^77*q^730+47099202*p^75*q^732+720401440*p^73*q^734+ 9062191452*p^71*q^736+94130723419*p^69*q^738+715413033782*p^67*q^740+ 2576901457618*p^65*q^742+2488960009142*p^63*q^744+632942441534*p^61*q^746+ 74380468480*p^59*q^748+6520097173*p^57*q^750+487216278*p^55*q^752+28909244*p^53 *q^754+1589778*p^51*q^756+39610*p^49*q^758+2232*p^47*q^760+13860*p^80*q^726+ 592640*p^78*q^728+9976198*p^76*q^730+176500648*p^74*q^732+2447914730*p^72*q^734 +28200019702*p^70*q^736+259732032086*p^68*q^738+1492665050711*p^66*q^740+ 3036835820670*p^64*q^742+1488187089467*p^62*q^744+242813206960*p^60*q^746+ 23982093514*p^58*q^748+1929662724*p^56*q^750+125379420*p^54*q^752+9306892*p^52* q^754+209520*p^50*q^756+32490*p^48*q^758+262*p^46*q^760+980*p^81*q^724+118678*p ^79*q^726+2619828*p^77*q^728+40693592*p^75*q^730+625202236*p^73*q^732+ 7969907710*p^71*q^734+83381214136*p^69*q^736+647164519582*p^67*q^738+ 2460760417104*p^65*q^740+2568083618133*p^63*q^742+693322989768*p^61*q^744+ 83819438283*p^59*q^746+7446887388*p^57*q^748+560309057*p^55*q^750+31574188*p^53 *q^752+2248064*p^51*q^754+15180*p^49*q^756+7614*p^47*q^758+8984*p^80*q^724+ 405582*p^78*q^726+8966154*p^76*q^728+152997282*p^74*q^730+2141290499*p^72*q^732 +24813476076*p^70*q^734+231723186658*p^68*q^736+1379072068600*p^66*q^738+ 3008786613619*p^64*q^740+1585850312832*p^62*q^742+270149690488*p^60*q^744+ 27140250150*p^58*q^746+2200382170*p^56*q^748+149297480*p^54*q^750+10150154*p^52 *q^752+261002*p^50*q^754+26978*p^48*q^756+52*p^46*q^758+136*p^81*q^722+91252*p^ 79*q^724+2251572*p^77*q^726+34748722*p^75*q^728+543520280*p^73*q^730+7000720650 *p^71*q^732+73875906370*p^69*q^734+585475452734*p^67*q^736+2340838751967*p^65*q ^738+2638963961870*p^63*q^740+757153774733*p^61*q^742+94093934572*p^59*q^744+ 8468331769*p^57*q^746+639457884*p^55*q^748+34670152*p^53*q^750+2780278*p^51*q^ 752+32962*p^49*q^754+8220*p^47*q^756+16*p^45*q^758+8*p^82*q^720+8668*p^80*q^722 +404370*p^78*q^724+8199510*p^76*q^726+132987958*p^74*q^728+1880163110*p^72*q^ 730+21897201722*p^70*q^732+206686837598*p^68*q^734+1271789028695*p^66*q^736+ 2962863803124*p^64*q^738+1684535851913*p^62*q^740+300303165088*p^60*q^742+ 30721942245*p^58*q^744+2522883796*p^56*q^746+177600675*p^54*q^748+11204822*p^52 *q^750+473932*p^50*q^752+6148*p^48*q^754+888*p^46*q^756+40*p^81*q^720+57822*p^ 79*q^722+1723564*p^77*q^724+29896672*p^75*q^726+475854126*p^73*q^728+6134878033 *p^71*q^730+65362775930*p^69*q^732+527863879544*p^67*q^734+2220152749832*p^65*q ^736+2698050766385*p^63*q^738+825435047566*p^61*q^740+105787574338*p^59*q^742+ 9631604384*p^57*q^744+729880203*p^55*q^746+41250666*p^53*q^748+3257592*p^51*q^ 750+30378*p^49*q^752+11964*p^47*q^754+3312*p^80*q^720+391576*p^78*q^722+7369110 *p^76*q^724+115124118*p^74*q^726+1634556353*p^72*q^728+19294382812*p^70*q^730+ 184096394408*p^68*q^732+1169044495210*p^66*q^734+2911738588205*p^64*q^736+ 1781556016664*p^62*q^738+333207748154*p^60*q^740+34725808556*p^58*q^742+ 2889123359*p^56*q^744+206803426*p^54*q^746+10992626*p^52*q^748+675564*p^50*q^ 750+3864*p^48*q^752+1228*p^46*q^754+120*p^81*q^718+51150*p^79*q^720+1382806*p^ 77*q^722+26165592*p^75*q^724+414620352*p^73*q^726+5397014082*p^71*q^728+ 57814695267*p^69*q^730+475521064578*p^67*q^732+2097447670006*p^65*q^734+ 2751491007802*p^63*q^736+896367555921*p^61*q^738+118547916428*p^59*q^740+ 10919138692*p^57*q^742+831190378*p^55*q^744+49767557*p^53*q^746+3963966*p^51*q^ 748+68420*p^49*q^750+5204*p^47*q^752+40*p^45*q^754+1228*p^80*q^718+292566*p^78* q^720+6380994*p^76*q^722+99464364*p^74*q^724+1430766714*p^72*q^726+16988021401* p^70*q^728+164050755890*p^68*q^730+1072106169734*p^66*q^732+2844733414550*p^64* q^734+1879670181536*p^62*q^736+368925477334*p^60*q^738+39222375499*p^58*q^740+ 3319163624*p^56*q^742+239334098*p^54*q^744+11465886*p^52*q^746+843974*p^50*q^ 748+3480*p^48*q^750+2808*p^46*q^752+24*p^81*q^716+33572*p^79*q^718+1340858*p^77 *q^720+23359602*p^75*q^722+361872978*p^73*q^724+4737004751*p^71*q^726+ 51148998002*p^69*q^728+427645296402*p^67*q^730+1973464228806*p^65*q^732+ 2790456958325*p^63*q^734+972582407744*p^61*q^736+132941753381*p^59*q^738+ 12412993620*p^57*q^740+948823137*p^55*q^742+61353344*p^53*q^744+4315008*p^51*q^ 746+127764*p^49*q^748+488*p^47*q^750+128*p^45*q^752+948*p^80*q^716+242540*p^78* q^718+5078466*p^76*q^720+85820300*p^74*q^722+1247876747*p^72*q^724+14941131528* p^70*q^726+145736343862*p^68*q^728+981222501044*p^66*q^730+2769914439743*p^64*q ^732+1974562915582*p^62*q^734+407934269938*p^60*q^736+44310853384*p^58*q^738+ 3782384233*p^56*q^740+274053766*p^54*q^742+12929671*p^52*q^744+1079946*p^50*q^ 746+5888*p^48*q^748+2674*p^46*q^750+44*p^81*q^714+16460*p^79*q^716+1146146*p^77 *q^718+20861794*p^75*q^720+314244328*p^73*q^722+4146426656*p^71*q^724+ 45213456445*p^69*q^726+384414565758*p^67*q^728+1852960007658*p^65*q^730+ 2819252953634*p^63*q^732+1050409881530*p^61*q^734+148750698080*p^59*q^736+ 14049214181*p^57*q^738+1089737432*p^55*q^740+72649355*p^53*q^742+3979708*p^51*q ^744+179760*p^49*q^746+528*p^47*q^748+298*p^45*q^750+600*p^80*q^714+202122*p^78 *q^716+4419404*p^76*q^718+74736316*p^74*q^720+1094917190*p^72*q^722+13179773423 *p^70*q^724+129596017978*p^68*q^726+895661019271*p^66*q^728+2686281747526*p^64* q^730+2066126996469*p^62*q^732+450091441538*p^60*q^734+49927050526*p^58*q^736+ 4328071144*p^56*q^738+311143260*p^54*q^740+15782174*p^52*q^742+1498980*p^50*q^ 744+17252*p^48*q^746+244*p^46*q^748+8*p^44*q^750+2*p^83*q^710+32*p^81*q^712+ 8540*p^79*q^714+973660*p^77*q^716+17900388*p^75*q^718+274024316*p^73*q^720+ 3635695749*p^71*q^722+39929540386*p^69*q^724+344561392036*p^67*q^726+ 1732930938000*p^65*q^728+2836489002856*p^63*q^730+1132400242538*p^61*q^732+ 166439730221*p^59*q^734+15963557318*p^57*q^736+1258917727*p^55*q^738+86848272*p ^53*q^740+3993773*p^51*q^742+222618*p^49*q^744+212*p^47*q^746+772*p^45*q^748+ 736*p^80*q^712+129302*p^78*q^714+3932356*p^76*q^716+65763840*p^74*q^718+ 953030225*p^72*q^720+11577851620*p^70*q^722+115079308793*p^68*q^724+ 815260862048*p^66*q^726+2595268917449*p^64*q^728+2155502429838*p^62*q^730+ 495400819528*p^60*q^732+56279127428*p^58*q^734+4923302556*p^56*q^736+351378216* p^54*q^738+19487566*p^52*q^740+1526326*p^50*q^742+28740*p^48*q^744+64*p^46*q^ 746+8*p^44*q^748+8*p^83*q^708+20*p^81*q^710+5860*p^79*q^712+864430*p^77*q^714+ 14984998*p^75*q^716+236584866*p^73*q^718+3186294616*p^71*q^720+35287131292*p^69 *q^722+308896689114*p^67*q^724+1615576627158*p^65*q^726+2843626417106*p^63*q^ 728+1216422004664*p^61*q^730+185651744072*p^59*q^732+18073293089*p^57*q^734+ 1444951878*p^55*q^736+101133650*p^53*q^738+3975056*p^51*q^740+364096*p^49*q^742 +1496*p^47*q^744+110*p^45*q^746+24*p^82*q^708+608*p^80*q^710+78366*p^78*q^712+ 3405664*p^76*q^714+58618470*p^74*q^716+835084690*p^72*q^718+10196258243*p^70*q^ 720+102208463488*p^68*q^722+741738802888*p^66*q^724+2493681697922*p^64*q^726+ 2238987213371*p^62*q^728+544361933156*p^60*q^730+63361827830*p^58*q^732+ 5598234250*p^56*q^734+402967952*p^54*q^736+23994386*p^52*q^738+1567661*p^50*q^ 740+43792*p^48*q^742+120*p^44*q^746+16*p^81*q^708+6480*p^79*q^710+682374*p^77*q ^712+13124156*p^75*q^714+205646286*p^73*q^716+2791397858*p^71*q^718+31140427006 *p^69*q^720+276311198613*p^67*q^722+1501760395172*p^65*q^724+2834572521418*p^63 *q^726+1304215429646*p^61*q^728+207288712714*p^59*q^730+20471316634*p^57*q^732+ 1672756570*p^55*q^734+115827872*p^53*q^736+4790774*p^51*q^738+462020*p^49*q^740 +2660*p^47*q^742+4*p^45*q^744+120*p^82*q^706+332*p^80*q^708+43642*p^78*q^710+ 3036849*p^76*q^712+49974210*p^74*q^714+727703185*p^72*q^716+8945909888*p^70*q^ 718+90598533755*p^68*q^720+672749658744*p^66*q^722+2392540284846*p^64*q^724+ 2314487235538*p^62*q^726+596950300092*p^60*q^728+71263727168*p^58*q^730+ 6366970576*p^56*q^732+458889432*p^54*q^734+29766594*p^52*q^736+1379450*p^50*q^ 738+59680*p^48*q^740+60*p^46*q^742+24*p^44*q^744+112*p^81*q^706+5972*p^79*q^708 +502493*p^77*q^710+11302568*p^75*q^712+182074298*p^73*q^714+2443688746*p^71*q^ 716+27497782140*p^69*q^718+247086817570*p^67*q^720+1392393065890*p^65*q^722+ 2817708920420*p^63*q^724+1391208490123*p^61*q^726+230624728184*p^59*q^728+ 23165822545*p^57*q^730+1912236730*p^55*q^732+130914814*p^53*q^734+5692886*p^51* q^736+556346*p^49*q^738+8040*p^47*q^740+8*p^43*q^744+8*p^82*q^704+296*p^80*q^ 706+41452*p^78*q^708+2670722*p^76*q^710+43244162*p^74*q^712+631249526*p^72*q^ 714+7876878008*p^70*q^716+80360928400*p^68*q^718+609161741688*p^66*q^720+ 2283354217894*p^64*q^722+2387361584043*p^62*q^724+652247475408*p^60*q^726+ 80146333682*p^58*q^728+7236198548*p^56*q^730+534065020*p^54*q^732+35691240*p^52 *q^734+1331890*p^50*q^736+96152*p^48*q^738+96*p^46*q^740+768*p^81*q^704+3542*p^ 79*q^706+306264*p^77*q^708+9952299*p^75*q^710+159535702*p^73*q^712+2148324420*p ^71*q^714+24246212502*p^69*q^716+220584751644*p^67*q^718+1286243968928*p^65*q^ 720+2786236352275*p^63*q^722+1481764452998*p^61*q^724+256561329335*p^59*q^726+ 26186441362*p^57*q^728+2193246975*p^55*q^730+146796578*p^53*q^732+7402958*p^51* q^734+571362*p^49*q^736+8936*p^47*q^738+2*p^43*q^742+8*p^82*q^702+324*p^80*q^ 704+40800*p^78*q^706+2244138*p^76*q^708+37348880*p^74*q^710+550239136*p^72*q^ 712+6908539272*p^70*q^714+71176910311*p^68*q^716+550704604628*p^66*q^718+ 2171321295136*p^64*q^720+2450145651852*p^62*q^722+712358060293*p^60*q^724+ 89978147534*p^58*q^726+8228643438*p^56*q^728+619964850*p^54*q^730+42491988*p^52 *q^732+1347374*p^50*q^734+137356*p^48*q^736+872*p^46*q^738+300*p^81*q^702+3040* p^79*q^704+226654*p^77*q^706+8817408*p^75*q^708+137901694*p^73*q^710+1874395684 *p^71*q^712+21379016932*p^69*q^714+196849959164*p^67*q^716+1186291414131*p^65*q ^718+2745356589016*p^63*q^720+1570714897942*p^61*q^722+284568608758*p^59*q^724+ 29582422083*p^57*q^726+2494461682*p^55*q^728+164981730*p^53*q^730+9312576*p^51* q^732+496306*p^49*q^734+13016*p^47*q^736+2652*p^80*q^702+27692*p^78*q^704+ 1690170*p^76*q^706+32419812*p^74*q^708+485975392*p^72*q^710+6077855756*p^70*q^ 712+63123067092*p^68*q^714+497232593557*p^66*q^716+2058239962588*p^64*q^718+ 2502885005540*p^62*q^720+775099221218*p^60*q^722+100964244059*p^58*q^724+ 9334958002*p^56*q^726+721349267*p^54*q^728+48384306*p^52*q^730+1578986*p^50*q^ 732+192868*p^48*q^734+1808*p^46*q^736+128*p^81*q^700+1794*p^79*q^702+222608*p^ 77*q^704+7847835*p^75*q^706+120476982*p^73*q^708+1633131427*p^71*q^710+ 18849424536*p^69*q^712+175338530079*p^67*q^714+1090268698722*p^65*q^716+ 2692542789395*p^63*q^718+1661233115806*p^61*q^720+315514331792*p^59*q^722+ 33405811162*p^57*q^724+2859892642*p^55*q^726+190204166*p^53*q^728+11984020*p^51 *q^730+461270*p^49*q^732+20656*p^47*q^734+28*p^45*q^736+2864*p^80*q^700+21956*p ^78*q^702+1165347*p^76*q^704+28141030*p^74*q^706+422874118*p^72*q^708+ 5338880242*p^70*q^710+55787169665*p^68*q^712+447814393992*p^66*q^714+ 1944572425165*p^64*q^716+2549090585522*p^62*q^718+841264885538*p^60*q^720+ 113211391754*p^58*q^722+10587984328*p^56*q^724+829586192*p^54*q^726+53777611*p^ 52*q^728+2082514*p^50*q^730+174470*p^48*q^732+984*p^46*q^734+32*p^81*q^698+5536 *p^79*q^700+165508*p^77*q^702+6824186*p^75*q^704+103997598*p^73*q^706+ 1432410000*p^71*q^708+16598959100*p^69*q^710+156347567414*p^67*q^712+ 1000110940358*p^65*q^714+2631465138458*p^63*q^716+1748603685272*p^61*q^718+ 348774598332*p^59*q^720+37680893665*p^57*q^722+3245919980*p^55*q^724+221066576* p^53*q^726+14658176*p^51*q^728+348486*p^49*q^730+46544*p^47*q^732+288*p^45*q^ 734+1200*p^80*q^698+16254*p^78*q^700+1030982*p^76*q^702+24821302*p^74*q^704+ 371260218*p^72*q^706+4687129171*p^70*q^708+49411018920*p^68*q^710+403123267949* p^66*q^712+1828830533196*p^64*q^714+2584420739171*p^62*q^716+910803523068*p^60* q^718+126704088244*p^58*q^720+12020122088*p^56*q^722+960649992*p^54*q^724+ 59673074*p^52*q^726+2742196*p^50*q^728+197608*p^48*q^730+1752*p^46*q^732+12556* p^79*q^698+129664*p^77*q^700+5236019*p^75*q^702+90590496*p^73*q^704+1253361822* p^71*q^706+14623691740*p^69*q^708+139035051986*p^67*q^710+915183646724*p^65*q^ 712+2558581146463*p^63*q^714+1836301685356*p^61*q^716+385243869950*p^59*q^718+ 42500512090*p^57*q^720+3695113572*p^55*q^722+258228716*p^53*q^724+17387296*p^51 *q^726+434686*p^49*q^728+45876*p^47*q^730+32*p^45*q^732+776*p^80*q^696+12536*p^ 78*q^698+832264*p^76*q^700+22356162*p^74*q^702+322677404*p^72*q^704+4102312844* p^70*q^706+43679837418*p^68*q^708+362037122866*p^66*q^710+1716880994344*p^64*q^ 712+2607062629918*p^62*q^714+983741889015*p^60*q^716+141712633812*p^58*q^718+ 13614590984*p^56*q^720+1105174918*p^54*q^722+66871122*p^52*q^724+3634704*p^50*q ^726+133480*p^48*q^728+7208*p^46*q^730+20*p^44*q^732+8*p^81*q^694+8196*p^79*q^ 696+110742*p^77*q^698+4244404*p^75*q^700+78046964*p^73*q^702+1098119560*p^71*q^ 704+12891057289*p^69*q^706+123632535592*p^67*q^708+835784745996*p^65*q^710+ 2481637774730*p^63*q^712+1918230964142*p^61*q^714+424405790954*p^59*q^716+ 47860861457*p^57*q^718+4201607506*p^55*q^720+300330744*p^53*q^722+19696222*p^51 *q^724+537284*p^49*q^726+59898*p^47*q^728+76*p^45*q^730+64*p^80*q^694+31510*p^ 78*q^696+652462*p^76*q^698+19210282*p^74*q^700+282727868*p^72*q^702+3603790714* p^70*q^704+38628372776*p^68*q^706+325090434945*p^66*q^708+1604850895764*p^64*q^ 710+2622147702174*p^62*q^712+1057803638962*p^60*q^714+158220588912*p^58*q^716+ 15430263198*p^56*q^718+1264330370*p^54*q^720+76716742*p^52*q^722+4676260*p^50*q ^724+99232*p^48*q^726+9600*p^46*q^728+7018*p^79*q^694+69518*p^77*q^696+3638554* p^75*q^698+68917268*p^73*q^700+962055890*p^71*q^702+11339764438*p^69*q^704+ 109903128845*p^67*q^706+760783271906*p^65*q^708+2394092789189*p^63*q^710+ 2000219592810*p^61*q^712+466726105174*p^59*q^714+53919160054*p^57*q^716+ 4790063171*p^55*q^718+355028802*p^53*q^720+21711114*p^51*q^722+755848*p^49*q^ 724+66176*p^47*q^726+600*p^45*q^728+160*p^80*q^692+35360*p^78*q^694+567716*p^76 *q^696+15757354*p^74*q^698+244723038*p^72*q^700+3154772232*p^70*q^702+ 34098967503*p^68*q^704+291248702312*p^66*q^706+1495898132298*p^64*q^708+ 2624460026542*p^62*q^710+1136364123691*p^60*q^712+176480457538*p^58*q^714+ 17438515047*p^56*q^716+1436793994*p^54*q^718+87766254*p^52*q^720+5920414*p^50*q ^722+103772*p^48*q^724+9996*p^46*q^726+2164*p^79*q^692+73368*p^77*q^694+2868578 *p^75*q^696+61244581*p^73*q^698+841858666*p^71*q^700+9978048398*p^69*q^702+ 97639560344*p^67*q^704+692329020876*p^65*q^706+2301758705802*p^63*q^708+ 2073795824146*p^61*q^710+512214833156*p^59*q^712+60620363539*p^57*q^714+ 5439615544*p^55*q^716+414656130*p^53*q^718+23968074*p^51*q^720+966434*p^49*q^ 722+34560*p^47*q^724+1596*p^45*q^726+32*p^80*q^690+35510*p^78*q^692+426982*p^76 *q^694+13647022*p^74*q^696+212483698*p^72*q^698+2771336838*p^70*q^700+ 30156750776*p^68*q^702+260832972024*p^66*q^704+1390808105198*p^64*q^706+ 2614788632858*p^62*q^708+1214932448482*p^60*q^710+196552579490*p^58*q^712+ 19741717374*p^56*q^714+1641375437*p^54*q^716+103063422*p^52*q^718+6942672*p^50* q^720+142546*p^48*q^722+22168*p^46*q^724+20*p^44*q^726+1516*p^79*q^690+101604*p ^77*q^692+2451132*p^75*q^694+52672976*p^73*q^696+739801200*p^71*q^698+ 8776984458*p^69*q^700+86595362982*p^67*q^702+628023112062*p^65*q^704+ 2204634809570*p^63*q^706+2143624664242*p^61*q^708+560985944188*p^59*q^710+ 68184734992*p^57*q^712+6196524071*p^55*q^714+480505490*p^53*q^716+26515110*p^51 *q^718+1389704*p^49*q^720+25252*p^47*q^722+816*p^45*q^724+22952*p^78*q^690+ 311900*p^76*q^692+11253734*p^74*q^694+186743295*p^72*q^696+2421918606*p^70*q^ 698+26586898410*p^68*q^700+233099830228*p^66*q^702+1288949839762*p^64*q^704+ 2596761232896*p^62*q^706+1296003540704*p^60*q^708+218531813596*p^58*q^710+ 22285726750*p^56*q^712+1869040488*p^54*q^714+122886566*p^52*q^716+7861116*p^50* q^718+180124*p^48*q^720+14868*p^46*q^722+172*p^44*q^724+828*p^79*q^688+117690*p ^77*q^690+2043266*p^75*q^692+45449214*p^73*q^694+642722272*p^71*q^696+ 7724568953*p^69*q^698+76876514552*p^67*q^700+568878349228*p^65*q^702+ 2104911387644*p^63*q^704+2206394889486*p^61*q^706+612324337826*p^59*q^708+ 76568564326*p^57*q^710+7032662822*p^55*q^712+548608176*p^53*q^714+29096242*p^51 *q^716+1829690*p^49*q^718+23136*p^47*q^720+4088*p^45*q^722+11302*p^78*q^688+ 297206*p^76*q^690+9496000*p^74*q^692+164007888*p^72*q^694+2135841288*p^70*q^696 +23491646624*p^68*q^698+208423028983*p^66*q^700+1190512511460*p^64*q^702+ 2566343477493*p^62*q^704+1377206401694*p^60*q^706+242681211116*p^58*q^708+ 25176017442*p^56*q^710+2132467932*p^54*q^712+149142886*p^52*q^714+8698904*p^50* q^716+234954*p^48*q^718+8900*p^46*q^720+28*p^44*q^722+104*p^79*q^686+120964*p^ 77*q^688+1583696*p^75*q^690+39216444*p^73*q^692+560736968*p^71*q^694+6778073294 *p^69*q^696+68121299077*p^67*q^698+514385805180*p^65*q^700+1999159520978*p^63*q ^702+2263645117392*p^61*q^704+667600130815*p^59*q^706+85888543628*p^57*q^708+ 7996120309*p^55*q^710+631713358*p^53*q^712+33077528*p^51*q^714+2335326*p^49*q^ 716+39284*p^47*q^718+4940*p^45*q^720+8*p^43*q^722+20*p^80*q^684+9290*p^78*q^686 +313014*p^76*q^688+8082350*p^74*q^690+142399100*p^72*q^692+1868867594*p^70*q^ 694+20713896173*p^68*q^696+185952913446*p^66*q^698+1098011179744*p^64*q^700+ 2524868119742*p^62*q^702+1460092815697*p^60*q^704+269107953876*p^58*q^706+ 28381357771*p^56*q^708+2432669238*p^54*q^710+173948201*p^52*q^712+9344250*p^50* q^714+357994*p^48*q^716+3714*p^46*q^718+348*p^44*q^720+96*p^79*q^684+72750*p^77 *q^686+1261548*p^75*q^688+33324278*p^73*q^690+492109214*p^71*q^692+5955683431*p ^69*q^694+60363361160*p^67*q^696+464449540003*p^65*q^698+1895664749044*p^63*q^ 700+2308387379737*p^61*q^702+725630623898*p^59*q^704+96196808179*p^57*q^706+ 9060185944*p^55*q^708+715524867*p^53*q^710+40463328*p^51*q^712+2696312*p^49*q^ 714+32110*p^47*q^716+2864*p^45*q^718+8*p^80*q^682+2692*p^78*q^684+397342*p^76*q ^686+6739809*p^74*q^688+124495496*p^72*q^690+1636977739*p^70*q^692+18290346976* p^68*q^694+165905045126*p^66*q^696+1009729511304*p^64*q^698+2475847978080*p^62* q^700+1539732646906*p^60*q^702+297843241623*p^58*q^704+32087811254*p^56*q^706+ 2777230530*p^54*q^708+204846118*p^52*q^710+9608368*p^50*q^712+542158*p^48*q^714 +7852*p^46*q^716+1088*p^44*q^718+264*p^79*q^682+60758*p^77*q^684+1019012*p^75*q ^686+28649024*p^73*q^688+430938442*p^71*q^690+5242810026*p^69*q^692+53426009497 *p^67*q^694+418431072010*p^65*q^696+1788449644197*p^63*q^698+2349926891652*p^61 *q^700+786092824224*p^59*q^702+107806488858*p^57*q^704+10245554232*p^55*q^706+ 821040048*p^53*q^708+49303264*p^51*q^710+3121522*p^49*q^712+50186*p^47*q^714+ 1300*p^45*q^716+8*p^43*q^718+12*p^80*q^680+1754*p^78*q^682+335422*p^76*q^684+ 5601590*p^74*q^686+107330675*p^72*q^688+1433606322*p^70*q^690+16092435182*p^68* q^692+147794568926*p^66*q^694+925578864811*p^64*q^696+2417567499044*p^62*q^698+ 1621288668835*p^60*q^700+329030796676*p^58*q^702+36112326512*p^56*q^704+ 3183559306*p^54*q^706+235400711*p^52*q^708+10455462*p^50*q^710+708958*p^48*q^ 712+6476*p^46*q^714+568*p^44*q^716+168*p^79*q^680+31620*p^77*q^682+1083650*p^75 *q^684+24323901*p^73*q^686+376386402*p^71*q^688+4599967728*p^69*q^690+ 47321529610*p^67*q^692+376771174621*p^65*q^694+1683139121002*p^63*q^696+ 2378247580305*p^61*q^698+850415053130*p^59*q^700+120367467640*p^57*q^702+ 11594540898*p^55*q^704+928966159*p^53*q^706+59969360*p^51*q^708+3291138*p^49*q^ 710+86156*p^47*q^712+904*p^45*q^714+140*p^43*q^716+4*p^82*q^676+1712*p^78*q^680 +279986*p^76*q^682+4338074*p^74*q^684+93657242*p^72*q^686+1258439823*p^70*q^688 +14215887480*p^68*q^690+131654954209*p^66*q^692+847362405150*p^64*q^694+ 2348904571852*p^62*q^696+1698429990530*p^60*q^698+362773375396*p^58*q^700+ 40751967550*p^56*q^702+3619251502*p^54*q^704+271611258*p^52*q^706+12319628*p^50 *q^708+862782*p^48*q^710+4504*p^46*q^712+492*p^44*q^714+220*p^79*q^678+17950*p^ 77*q^680+1131876*p^75*q^682+21215958*p^73*q^684+328189117*p^71*q^686+4041741136 *p^69*q^688+41860283693*p^67*q^690+338538739058*p^65*q^692+1578044583976*p^63*q ^694+2398120757292*p^61*q^696+916751597459*p^59*q^698+134607260094*p^57*q^700+ 13126420992*p^55*q^702+1075731950*p^53*q^704+72285397*p^51*q^706+3301062*p^49*q ^708+151530*p^47*q^710+1684*p^45*q^712+64*p^43*q^714+8*p^80*q^676+1832*p^78*q^ 678+211006*p^76*q^680+3574372*p^74*q^682+79955828*p^72*q^684+1101351218*p^70*q^ 686+12495543252*p^68*q^688+116997262540*p^66*q^690+773667301458*p^64*q^692+ 2275816897862*p^62*q^694+1774478585735*p^60*q^696+399222443308*p^58*q^698+ 45802109179*p^56*q^700+4114966420*p^54*q^702+306474549*p^52*q^704+15110950*p^50 *q^706+1046756*p^48*q^708+8760*p^46*q^710+36*p^44*q^712+8*p^42*q^714+56*p^81*q^ 674+36*p^79*q^676+11732*p^77*q^678+1003244*p^75*q^680+17613976*p^73*q^682+ 287125674*p^71*q^684+3551681440*p^69*q^686+37038463810*p^67*q^688+304158762289* p^65*q^690+1475882795168*p^63*q^692+2408181152796*p^61*q^694+984886764396*p^59* q^696+150126348327*p^57*q^698+14815091790*p^55*q^700+1230493501*p^53*q^702+ 85092224*p^51*q^704+3304149*p^49*q^706+185704*p^47*q^708+192*p^45*q^710+100*p^ 43*q^712+1989*p^78*q^676+127890*p^76*q^678+3527174*p^74*q^680+69893840*p^72*q^ 682+967216348*p^70*q^684+11010973644*p^68*q^686+104122478500*p^66*q^688+ 704414302040*p^64*q^690+2194973526017*p^62*q^692+1844859195110*p^60*q^694+ 438531142092*p^58*q^696+51535612126*p^56*q^698+4677020196*p^54*q^700+351566118* p^52*q^702+19314398*p^50*q^704+1145162*p^48*q^706+22836*p^46*q^708+282*p^44*q^ 710+4*p^42*q^712+8*p^81*q^672+136*p^79*q^674+11800*p^77*q^676+920712*p^75*q^678 +13984012*p^73*q^680+249107169*p^71*q^682+3117296140*p^69*q^684+32746854356*p^ 67*q^686+272555995556*p^65*q^688+1374834197987*p^63*q^690+2408866655438*p^61*q^ 692+1056110177578*p^59*q^694+167211447754*p^57*q^696+16802869072*p^55*q^698+ 1412916224*p^53*q^700+99138896*p^51*q^702+3492774*p^49*q^704+257038*p^47*q^706+ 554*p^45*q^708+316*p^80*q^672+952*p^78*q^674+88950*p^76*q^676+3164046*p^74*q^ 678+61406808*p^72*q^680+844450724*p^70*q^682+9694787258*p^68*q^684+92415552122* p^66*q^686+640960939601*p^64*q^688+2107676547016*p^62*q^690+1913413792777*p^60* q^692+480313778452*p^58*q^694+57921118884*p^56*q^696+5283978298*p^54*q^698+ 403985421*p^52*q^700+23682680*p^50*q^702+1165596*p^48*q^704+34168*p^46*q^706+8* p^42*q^710+24*p^79*q^672+12474*p^77*q^674+668678*p^75*q^676+12139840*p^73*q^678 +214860070*p^71*q^680+2741123999*p^69*q^682+28921011280*p^67*q^684+244180330156 *p^65*q^686+1278341602956*p^63*q^688+2397605842202*p^61*q^690+1128563219892*p^ 59*q^692+186038231849*p^57*q^694+18934788968*p^55*q^696+1623689388*p^53*q^698+ 112300154*p^51*q^700+4406150*p^49*q^702+314980*p^47*q^704+1958*p^45*q^706+20*p^ 43*q^708+200*p^80*q^670+1062*p^78*q^672+62296*p^76*q^674+3064018*p^74*q^676+ 51279032*p^72*q^678+742831133*p^70*q^680+8536059708*p^68*q^682+82139509569*p^66 *q^684+581704057786*p^64*q^686+2018780360088*p^62*q^688+1972152119184*p^60*q^ 690+525253706096*p^58*q^692+65013972462*p^56*q^694+5997993371*p^54*q^696+ 460553956*p^52*q^698+29477825*p^50*q^700+1015424*p^48*q^702+46116*p^46*q^704+16 *p^44*q^706+920*p^79*q^670+9800*p^77*q^672+517336*p^75*q^674+10517648*p^73*q^ 676+190581659*p^71*q^678+2403683850*p^69*q^680+25554819141*p^67*q^682+ 218358773886*p^65*q^684+1183686990565*p^63*q^686+2378403525886*p^61*q^688+ 1201569442938*p^59*q^690+206765215598*p^57*q^692+21442839894*p^55*q^694+ 1854466326*p^53*q^696+130970908*p^51*q^698+5524164*p^49*q^700+393182*p^47*q^702 +5320*p^45*q^704+12*p^80*q^668+644*p^78*q^670+63416*p^76*q^672+2640734*p^74*q^ 674+43114430*p^72*q^676+641892894*p^70*q^678+7506629653*p^68*q^680+72848723042* p^66*q^682+526720457440*p^64*q^684+1925214866818*p^62*q^686+2031035655228*p^60* q^688+572477918148*p^58*q^690+72932552394*p^56*q^692+6781978608*p^54*q^694+ 536436331*p^52*q^696+33883858*p^50*q^698+1011898*p^48*q^700+63326*p^46*q^702+72 *p^44*q^704+1576*p^79*q^668+6562*p^77*q^670+343376*p^75*q^672+9476562*p^73*q^ 674+165836976*p^71*q^676+2116195641*p^69*q^678+22563366034*p^67*q^680+ 195262539911*p^65*q^682+1094147311210*p^63*q^684+2347925250751*p^61*q^686+ 1275811989140*p^59*q^688+229162498258*p^57*q^690+24122023306*p^55*q^692+ 2109202111*p^53*q^694+146574058*p^51*q^696+7468162*p^49*q^698+382550*p^47*q^700 +6126*p^45*q^702+8*p^80*q^666+1522*p^78*q^668+59604*p^76*q^670+2200486*p^74*q^ 672+36893268*p^72*q^674+561825582*p^70*q^676+6613973606*p^68*q^678+64651722690* p^66*q^680+476726916012*p^64*q^682+1828210886452*p^62*q^684+2077656278152*p^60* q^686+623600190059*p^58*q^688+81741562692*p^56*q^690+7701781005*p^54*q^692+ 619082982*p^52*q^694+40715064*p^50*q^696+1106548*p^48*q^698+92664*p^46*q^700+ 524*p^44*q^702+408*p^79*q^666+6644*p^77*q^668+292488*p^75*q^670+8727016*p^73*q^ 672+142693392*p^71*q^674+1856327554*p^69*q^676+19902069843*p^67*q^678+ 174268100562*p^65*q^680+1008246534746*p^63*q^682+2308248050744*p^61*q^684+ 1349528346617*p^59*q^686+253789787582*p^57*q^688+27267582702*p^55*q^690+ 2392008072*p^53*q^692+169811560*p^51*q^694+9271004*p^49*q^696+326962*p^47*q^698 +9814*p^45*q^700+5812*p^78*q^666+41154*p^76*q^668+1702950*p^74*q^670+31271477*p ^72*q^672+493490798*p^70*q^674+5808110038*p^68*q^676+57272091024*p^66*q^678+ 430336102301*p^64*q^680+1732047278992*p^62*q^682+2119514519939*p^60*q^684+ 676580174504*p^58*q^686+91561266732*p^56*q^688+8710171030*p^54*q^690+717863297* p^52*q^692+46130492*p^50*q^694+1489598*p^48*q^696+120540*p^46*q^698+732*p^44*q^ 700+200*p^79*q^664+3164*p^77*q^666+275022*p^75*q^668+7581216*p^73*q^670+ 122951580*p^71*q^672+1618501793*p^69*q^674+17571783104*p^67*q^676+155491017956* p^65*q^678+927450960954*p^63*q^680+2261488654914*p^61*q^682+1422523447374*p^59* q^684+280263795966*p^57*q^686+30674453846*p^55*q^688+2714831558*p^53*q^690+ 194369292*p^51*q^692+11236973*p^49*q^694+258952*p^47*q^696+13880*p^45*q^698+20* p^43*q^700+4052*p^78*q^664+40118*p^76*q^666+1298453*p^74*q^668+27914156*p^72*q^ 670+432674059*p^70*q^672+5134447498*p^68*q^674+50782213258*p^66*q^676+ 387960968886*p^64*q^678+1634218945950*p^62*q^680+2151970428540*p^60*q^682+ 732317267991*p^58*q^684+102440940770*p^56*q^686+9856641759*p^54*q^688+824159340 *p^52*q^690+53096914*p^50*q^692+2207740*p^48*q^694+120372*p^46*q^696+1098*p^44* q^698+24*p^79*q^662+12004*p^77*q^664+221200*p^75*q^666+6661634*p^73*q^668+ 104408136*p^71*q^670+1418341836*p^69*q^672+15477009493*p^67*q^674+138590214228* p^65*q^676+849592766023*p^63*q^678+2205704618894*p^61*q^680+1494670223096*p^59* q^682+309362560736*p^57*q^684+34587931623*p^55*q^686+3087986778*p^53*q^688+ 228432507*p^51*q^690+13600342*p^49*q^692+242468*p^47*q^694+25952*p^45*q^696+80* p^43*q^698+2108*p^78*q^662+24298*p^76*q^664+1137698*p^74*q^666+24275088*p^72*q^ 668+377226912*p^70*q^670+4503796908*p^68*q^672+44956920170*p^66*q^674+ 349295544044*p^64*q^676+1536515564768*p^62*q^678+2178392857163*p^60*q^680+ 790698062766*p^58*q^682+114286676803*p^56*q^684+11163104118*p^54*q^686+ 939784328*p^52*q^688+59900668*p^50*q^690+2671147*p^48*q^692+93502*p^46*q^694+ 1256*p^44*q^696+17612*p^77*q^662+189458*p^75*q^664+5276386*p^73*q^666+90683304* p^71*q^668+1242610428*p^69*q^670+13667841706*p^67*q^672+123463436060*p^65*q^674 +778300631810*p^63*q^676+2141034139610*p^61*q^678+1565160613214*p^59*q^680+ 340475463725*p^57*q^682+38918911972*p^55*q^684+3485425533*p^53*q^686+267112564* p^51*q^688+15862562*p^49*q^690+412880*p^47*q^692+32536*p^45*q^694+64*p^43*q^696 +812*p^78*q^660+22906*p^76*q^662+971918*p^74*q^664+21850874*p^72*q^666+ 327191102*p^70*q^668+3959131506*p^68*q^670+39795885236*p^66*q^672+314174651848* p^64*q^674+1440601419886*p^62*q^676+2191572331196*p^60*q^678+851469636146*p^58* q^680+127568469480*p^56*q^682+12606302297*p^54*q^684+1077982662*p^52*q^686+ 68945068*p^50*q^688+3496352*p^48*q^690+52474*p^46*q^692+3740*p^44*q^694+4*p^42* q^696+8*p^79*q^658+13276*p^77*q^660+159938*p^75*q^662+4423536*p^73*q^664+ 78141538*p^71*q^666+1092702938*p^69*q^668+12054579393*p^67*q^670+109865951390*p ^65*q^672+710225870880*p^63*q^674+2072981635456*p^61*q^676+1630459057921*p^59*q ^678+374482936976*p^57*q^680+43801083300*p^55*q^682+3961243192*p^53*q^684+ 309467560*p^51*q^686+18483094*p^49*q^688+553444*p^47*q^690+33924*p^45*q^692+60* p^43*q^694+80*p^78*q^658+42646*p^76*q^660+813498*p^74*q^662+18744544*p^72*q^664 +284103730*p^70*q^666+3468704036*p^68*q^668+35167722276*p^66*q^670+281909425852 *p^64*q^672+1346204108472*p^62*q^674+2200170574623*p^60*q^676+913539476370*p^58 *q^678+142133669159*p^56*q^680+14268659770*p^54*q^682+1223780767*p^52*q^684+ 81015276*p^50*q^686+4207178*p^48*q^688+60624*p^46*q^690+5632*p^44*q^692+8688*p^ 77*q^658+100372*p^75*q^660+3784702*p^73*q^662+68069464*p^71*q^664+955315519*p^ 69*q^666+10628342818*p^67*q^668+97780057959*p^65*q^670+647288554800*p^63*q^672+ 1998271013783*p^61*q^674+1695686791192*p^59*q^676+409999965052*p^57*q^678+ 49142421118*p^55*q^680+4485350661*p^53*q^682+359589510*p^51*q^684+20274949*p^49 *q^686+754058*p^47*q^688+19130*p^45*q^690+322*p^43*q^692+208*p^78*q^656+49904*p ^76*q^658+736224*p^74*q^660+15804558*p^72*q^662+246463378*p^70*q^664+3055352570 *p^68*q^666+31149529105*p^66*q^668+252936386502*p^64*q^670+1253850558028*p^62*q ^672+2196031389494*p^60*q^674+977986617957*p^58*q^676+158137669170*p^56*q^678+ 16132778769*p^54*q^680+1384983618*p^52*q^682+94518753*p^50*q^684+5319882*p^48*q ^686+92562*p^46*q^688+8472*p^44*q^690+2360*p^77*q^656+103144*p^75*q^658+3207912 *p^73*q^660+60452852*p^71*q^662+836088626*p^69*q^664+9365840414*p^67*q^666+ 86830444300*p^65*q^668+588520472600*p^63*q^670+1916972655786*p^61*q^672+ 1754423156254*p^59*q^674+449317287100*p^57*q^676+55235585465*p^55*q^678+ 5087557042*p^53*q^680+419547495*p^51*q^682+24112718*p^49*q^684+962366*p^47*q^ 686+11712*p^45*q^688+720*p^43*q^690+44*p^78*q^654+47308*p^76*q^656+550026*p^74* q^658+13515207*p^72*q^660+211201522*p^70*q^662+2675982079*p^68*q^664+ 27501721778*p^66*q^666+226573254698*p^64*q^668+1164987075474*p^62*q^670+ 2185219033534*p^60*q^672+1043116578694*p^58*q^674+175581444058*p^56*q^676+ 18196812652*p^54*q^678+1570243433*p^52*q^680+110325674*p^50*q^682+5824456*p^48* q^684+134652*p^46*q^686+6334*p^44*q^688+12*p^42*q^690+8*p^79*q^652+2236*p^77*q^ 654+121592*p^75*q^656+2811474*p^73*q^658+51918552*p^71*q^660+734159987*p^69*q^ 662+8247333112*p^67*q^664+77204019527*p^65*q^666+534402732962*p^63*q^668+ 1834850955451*p^61*q^670+1807957926482*p^59*q^672+490183905376*p^57*q^674+ 61919138096*p^55*q^676+5773032887*p^53*q^678+478282300*p^51*q^680+27443328*p^49 *q^682+1280540*p^47*q^684+11962*p^45*q^686+1152*p^43*q^688+25084*p^76*q^654+ 436628*p^74*q^656+11613114*p^72*q^658+186501860*p^70*q^660+2347049446*p^68*q^ 662+24342061940*p^66*q^664+202766189250*p^64*q^666+1079260053645*p^62*q^668+ 2163438611644*p^60*q^670+1109531895371*p^58*q^672+194798944520*p^56*q^674+ 20519191565*p^54*q^676+1782135774*p^52*q^678+132033197*p^50*q^680+6878072*p^48* q^682+193382*p^46*q^684+3538*p^44*q^686+76*p^42*q^688+4*p^79*q^650+1064*p^77*q^ 652+157250*p^75*q^654+2397612*p^73*q^656+44792783*p^71*q^658+635690232*p^69*q^ 660+7268452656*p^67*q^662+68476694050*p^65*q^664+483855917919*p^63*q^666+ 1748233708724*p^61*q^668+1856723637661*p^59*q^670+534039602602*p^57*q^672+ 69448615673*p^55*q^674+6555885296*p^53*q^676+545308384*p^51*q^678+32021502*p^49 *q^680+1590702*p^47*q^682+17838*p^45*q^684+1526*p^43*q^686+96*p^78*q^650+16240* p^76*q^652+342170*p^74*q^654+9954318*p^72*q^656+161867708*p^70*q^658+2066390761 *p^68*q^660+21475212302*p^66*q^662+181291107337*p^64*q^664+996675762814*p^62*q^ 666+2135225374426*p^60*q^668+1175839050190*p^58*q^670+215713473929*p^56*q^672+ 23142313034*p^54*q^674+2014785444*p^52*q^676+156219602*p^50*q^678+7848433*p^48* q^680+241808*p^46*q^682+2012*p^44*q^684+60*p^42*q^686+8*p^79*q^648+140*p^77*q^ 650+133548*p^75*q^652+1965122*p^73*q^654+38718462*p^71*q^656+553926202*p^69*q^ 658+6387669380*p^67*q^660+60776667222*p^65*q^662+437982937108*p^63*q^664+ 1659622752452*p^61*q^666+1899468937118*p^59*q^668+579948043222*p^57*q^670+ 77676459012*p^55*q^672+7416442830*p^53*q^674+619300316*p^51*q^676+37280828*p^49 *q^678+1787562*p^47*q^680+34852*p^45*q^682+782*p^43*q^684+4*p^41*q^686+88*p^78* q^648+11572*p^76*q^650+388220*p^74*q^652+8709806*p^72*q^654+140889379*p^70*q^ 656+1816033548*p^68*q^658+18994464404*p^66*q^660+161987039678*p^64*q^662+ 918972109563*p^62*q^664+2095606229888*p^60*q^666+1242608795871*p^58*q^668+ 238486494706*p^56*q^670+26058042414*p^54*q^672+2298391400*p^52*q^674+181852997* p^50*q^676+9174414*p^48*q^678+369640*p^46*q^680+1352*p^44*q^682+232*p^42*q^684+ 488*p^77*q^648+92012*p^75*q^650+1533452*p^73*q^652+33441654*p^71*q^654+ 485792616*p^69*q^656+5614076495*p^67*q^658+53896299560*p^65*q^660+395227379689* p^63*q^662+1570623406618*p^61*q^664+1932625465591*p^59*q^666+629093664392*p^57* q^668+86913275856*p^55*q^670+8409039382*p^53*q^672+700101216*p^51*q^674+ 45653508*p^49*q^676+2109616*p^47*q^678+36704*p^45*q^680+586*p^43*q^682+136*p^78 *q^646+3676*p^76*q^648+445398*p^74*q^650+7459566*p^72*q^652+121780600*p^70*q^ 654+1581919019*p^68*q^656+16769409092*p^66*q^658+144411175406*p^64*q^660+ 844502525792*p^62*q^662+2052272268642*p^60*q^664+1307508570446*p^58*q^666+ 263241239628*p^56*q^668+29362491928*p^54*q^670+2612053260*p^52*q^672+210787186* p^50*q^674+10316431*p^48*q^676+436644*p^46*q^678+5048*p^44*q^680+96*p^42*q^682+ 2*p^81*q^642+904*p^77*q^646+74880*p^75*q^648+1172408*p^73*q^650+28959464*p^71*q ^652+423296155*p^69*q^654+4951311908*p^67*q^656+47753869382*p^65*q^658+ 356646603404*p^63*q^660+1481449047247*p^61*q^662+1961959322618*p^59*q^664+ 678967830181*p^57*q^666+96978869348*p^55*q^668+9483198465*p^53*q^670+791302046* p^51*q^672+54299802*p^49*q^674+2468354*p^47*q^676+62560*p^45*q^678+36*p^43*q^ 680+16*p^41*q^682+8*p^78*q^644+2414*p^76*q^646+379754*p^74*q^648+6461104*p^72*q ^650+105843457*p^70*q^652+1391535798*p^68*q^654+14798546400*p^66*q^656+ 128969466338*p^64*q^658+774109325425*p^62*q^660+1998166169086*p^60*q^662+ 1372524698970*p^58*q^664+289903600082*p^56*q^666+33044786757*p^54*q^668+ 2979247190*p^52*q^670+241131012*p^50*q^672+12155850*p^48*q^674+505305*p^46*q^ 676+5280*p^44*q^678+120*p^42*q^680+1088*p^77*q^644+39764*p^75*q^646+1248918*p^ 73*q^648+25152688*p^71*q^650+369162040*p^69*q^652+4347753425*p^67*q^654+ 42307428054*p^65*q^656+320914341030*p^63*q^658+1391711738116*p^61*q^660+ 1980996047312*p^59*q^662+732912656206*p^57*q^664+108246140182*p^55*q^666+ 10732194842*p^53*q^668+900425367*p^51*q^670+66501290*p^49*q^672+2942052*p^47*q^ 674+98594*p^45*q^676+448*p^43*q^678+6*p^41*q^680+32*p^80*q^640+4976*p^76*q^644+ 334786*p^74*q^646+4851338*p^72*q^648+91844842*p^70*q^650+1216781209*p^68*q^652+ 13041119152*p^66*q^654+114791504045*p^64*q^656+708677914490*p^62*q^658+ 1939091096083*p^60*q^660+1433998488164*p^58*q^662+318908713900*p^56*q^664+ 37151840006*p^54*q^666+3372553543*p^52*q^668+273325418*p^50*q^670+14340870*p^48 *q^672+568118*p^46*q^674+6418*p^44*q^676+386*p^77*q^642+20726*p^75*q^644+ 1193934*p^73*q^646+22330732*p^71*q^648+320272626*p^69*q^650+3819324920*p^67*q^ 652+37497192721*p^65*q^654+288804364372*p^63*q^656+1304682125367*p^61*q^658+ 1992448397006*p^59*q^660+787032404437*p^57*q^662+120508453904*p^55*q^664+ 12111584590*p^53*q^666+1026006728*p^51*q^668+77777490*p^49*q^670+3248206*p^47*q ^672+109112*p^45*q^674+776*p^43*q^676+10*p^41*q^678+8*p^78*q^640+5980*p^76*q^ 642+247148*p^74*q^644+4128656*p^72*q^646+79808904*p^70*q^648+1069053456*p^68*q^ 650+11520003589*p^66*q^652+102194689616*p^64*q^654+646999479515*p^62*q^656+ 1874783168226*p^60*q^658+1493013069707*p^58*q^660+349764855622*p^56*q^662+ 41749045243*p^54*q^664+3834352248*p^52*q^666+308374665*p^50*q^668+17990246*p^48 *q^670+765326*p^46*q^672+17756*p^44*q^674+16*p^42*q^676+212*p^79*q^638+36*p^77* q^640+20452*p^75*q^642+1143630*p^73*q^644+18832178*p^71*q^646+279371988*p^69*q^ 648+3358142624*p^67*q^650+33165820326*p^65*q^652+259221753395*p^63*q^654+ 1218262468270*p^61*q^656+1995912532558*p^59*q^658+844018247360*p^57*q^660+ 134208998635*p^55*q^662+13686811222*p^53*q^664+1173513618*p^51*q^666+91660150*p ^49*q^668+3732300*p^47*q^670+112574*p^45*q^672+280*p^43*q^674+4484*p^76*q^640+ 153786*p^74*q^642+3716792*p^72*q^644+69573158*p^70*q^646+932152605*p^68*q^648+ 10135800414*p^66*q^650+90921964359*p^64*q^652+589058498538*p^62*q^654+ 1805843902003*p^60*q^656+1549316802574*p^58*q^658+382885575739*p^56*q^660+ 46831448032*p^54*q^662+4344036901*p^52*q^664+349275484*p^50*q^666+22194534*p^48 *q^668+865274*p^46*q^670+21054*p^44*q^672+84*p^42*q^674+56*p^79*q^636+154*p^77* q^638+25880*p^75*q^640+1021263*p^73*q^642+15277606*p^71*q^644+242775104*p^69*q^ 646+2954618082*p^67*q^648+29376726036*p^65*q^650+232699058252*p^63*q^652+ 1134421848132*p^61*q^654+1991863298302*p^59*q^656+901310316840*p^57*q^658+ 149018988124*p^55*q^660+15447555480*p^53*q^662+1329365256*p^51*q^664+104866644* p^49*q^666+4225792*p^47*q^668+155952*p^45*q^670+2016*p^43*q^672+752*p^78*q^636+ 1124*p^76*q^638+104262*p^74*q^640+3418992*p^72*q^642+61996371*p^70*q^644+ 814629588*p^68*q^646+8937131631*p^66*q^648+80867656390*p^64*q^650+536016931714* p^62*q^652+1730439372690*p^60*q^654+1601271706647*p^58*q^656+418347597078*p^56* q^658+52496096942*p^54*q^660+4916436850*p^52*q^662+400790373*p^50*q^664+ 27172428*p^48*q^666+1029986*p^46*q^668+21316*p^44*q^670+40*p^77*q^636+26464*p^ 75*q^638+784500*p^73*q^640+13057014*p^71*q^642+210465320*p^69*q^644+2596416134* p^67*q^646+25971153160*p^65*q^648+208445438786*p^63*q^650+1053515431776*p^61*q^ 652+1976987466378*p^59*q^654+961233380288*p^57*q^656+165396564841*p^55*q^658+ 17430310694*p^53*q^660+1522691660*p^51*q^662+118164554*p^49*q^664+5459644*p^47* q^666+201384*p^45*q^668+3520*p^43*q^670+4*p^41*q^672+716*p^78*q^634+1408*p^76*q ^636+98866*p^74*q^638+3271492*p^72*q^640+52625062*p^70*q^642+712257972*p^68*q^ 644+7861604688*p^66*q^646+71809008630*p^64*q^648+486344657156*p^62*q^650+ 1655112857258*p^60*q^652+1646917213192*p^58*q^654+456183709683*p^56*q^656+ 58851103844*p^54*q^658+5568503114*p^52*q^660+453913238*p^50*q^662+33543957*p^48 *q^664+1046638*p^46*q^666+23284*p^44*q^668+96*p^42*q^670+1542*p^77*q^634+13880* p^75*q^636+566422*p^73*q^638+10991270*p^71*q^640+185308316*p^69*q^642+ 2274107920*p^67*q^644+22959559120*p^65*q^646+186604776818*p^63*q^648+ 975998708765*p^61*q^650+1957302444936*p^59*q^652+1019280462844*p^57*q^654+ 183157870258*p^55*q^656+19629366031*p^53*q^658+1725154898*p^51*q^660+134973320* p^49*q^662+6609890*p^47*q^664+260518*p^45*q^666+3384*p^43*q^668+48*p^78*q^632+ 888*p^76*q^634+107374*p^74*q^636+2921196*p^72*q^638+45028824*p^70*q^640+ 620570156*p^68*q^642+6947832615*p^66*q^644+63834792704*p^64*q^646+440786693640* p^62*q^648+1575459187040*p^60*q^650+1689536244291*p^58*q^652+495441445698*p^56* q^654+65860295293*p^54*q^656+6301416732*p^52*q^658+517961480*p^50*q^660+ 38322830*p^48*q^662+1229824*p^46*q^664+36596*p^44*q^666+446*p^42*q^668+3680*p^ 77*q^632+9598*p^75*q^634+418314*p^73*q^636+9971602*p^71*q^638+163013052*p^69*q^ 640+1999400533*p^67*q^642+20262604666*p^65*q^644+166790906622*p^63*q^646+ 900412509730*p^61*q^648+1927679204347*p^59*q^650+1080123559068*p^57*q^652+ 202656085426*p^55*q^654+22139011756*p^53*q^656+1969491503*p^51*q^658+155163756* p^49*q^660+9121242*p^47*q^662+296556*p^45*q^664+3084*p^43*q^666+48*p^78*q^630+ 1976*p^76*q^632+89016*p^74*q^634+2412790*p^72*q^636+37707562*p^70*q^638+ 537863272*p^68*q^640+6105181230*p^66*q^642+56624065030*p^64*q^644+398653006848* p^62*q^646+1495079643930*p^60*q^648+1725175842278*p^58*q^650+538038483759*p^56* q^652+73582932924*p^54*q^654+7119533287*p^52*q^656+591194848*p^50*q^658+ 43970357*p^48*q^660+1342084*p^46*q^662+50876*p^44*q^664+308*p^42*q^666+1120*p^ 77*q^630+8672*p^75*q^632+386042*p^73*q^634+9069800*p^71*q^636+142006020*p^69*q^ 638+1755398000*p^67*q^640+17918451263*p^65*q^642+149110681986*p^63*q^644+ 830233789659*p^61*q^646+1890691961130*p^59*q^648+1138173880194*p^57*q^650+ 223526788244*p^55*q^652+24903233124*p^53*q^654+2231386662*p^51*q^656+174503090* p^49*q^658+11235896*p^47*q^660+294362*p^45*q^662+4628*p^43*q^664+28*p^41*q^666+ 9820*p^76*q^630+58644*p^74*q^632+1855636*p^72*q^634+32502345*p^70*q^636+ 473774656*p^68*q^638+5375391150*p^66*q^640+50267232798*p^64*q^642+360111226800* p^62*q^644+1413338916502*p^60*q^646+1754053774094*p^58*q^648+581970525886*p^56* q^650+82266403683*p^54*q^652+8061231524*p^52*q^654+674269732*p^50*q^656+ 51494000*p^48*q^658+1928361*p^46*q^660+75208*p^44*q^662+492*p^42*q^664+688*p^77 *q^628+4388*p^75*q^630+377982*p^73*q^632+8194625*p^71*q^634+122099852*p^69*q^ 636+1528995252*p^67*q^638+15820866056*p^65*q^640+132993844436*p^63*q^642+ 762664779250*p^61*q^644+1847930782466*p^59*q^646+1196910635814*p^57*q^648+ 246330186779*p^55*q^650+28003910244*p^53*q^652+2532815536*p^51*q^654+200522912* p^49*q^656+13218093*p^47*q^658+286596*p^45*q^660+7116*p^43*q^662+8*p^41*q^664+ 8088*p^76*q^628+52616*p^74*q^630+1466524*p^72*q^632+28162028*p^70*q^634+ 416331962*p^68*q^636+4737946740*p^66*q^638+44517633488*p^64*q^640+324682386892* p^62*q^642+1332318181804*p^60*q^644+1776698015892*p^58*q^646+628180658248*p^56* q^648+91794981952*p^54*q^650+9104659876*p^52*q^652+771439802*p^50*q^654+ 58497112*p^48*q^656+2744038*p^46*q^658+73224*p^44*q^660+332*p^42*q^662+116*p^77 *q^626+15664*p^75*q^628+292372*p^73*q^630+6990726*p^71*q^632+104821407*p^69*q^ 634+1336932016*p^67*q^636+13951514210*p^65*q^638+118736582108*p^63*q^640+ 699073334614*p^61*q^642+1798957759982*p^59*q^644+1253005717009*p^57*q^646+ 270865254018*p^55*q^648+31461502209*p^53*q^650+2867455850*p^51*q^652+226982787* p^49*q^654+15733778*p^47*q^656+304926*p^45*q^658+14082*p^43*q^660+64*p^41*q^662 +4908*p^76*q^626+33258*p^74*q^628+1351196*p^72*q^630+25115538*p^70*q^632+ 364597822*p^68*q^634+4172188996*p^66*q^636+39499469994*p^64*q^638+292505365723* p^62*q^640+1250993045880*p^60*q^642+1792152269586*p^58*q^644+675684698518*p^56* q^646+102209927697*p^54*q^648+10294097444*p^52*q^650+879028154*p^50*q^652+ 67330306*p^48*q^654+3432540*p^46*q^656+79040*p^44*q^658+708*p^42*q^660+27456*p^ 75*q^626+246316*p^73*q^628+5620044*p^71*q^630+90508584*p^69*q^632+1172846736*p^ 67*q^634+12319495352*p^65*q^636+105715658077*p^63*q^638+639607018474*p^61*q^640 +1742114552355*p^59*q^642+1308711396068*p^57*q^644+297462067439*p^55*q^646+ 35376017018*p^53*q^648+3253129613*p^51*q^650+259571294*p^49*q^652+18522260*p^47 *q^654+523524*p^45*q^656+15460*p^43*q^658+12*p^41*q^660+2356*p^76*q^624+28508*p ^74*q^626+1172776*p^72*q^628+22465300*p^70*q^630+316142902*p^68*q^632+ 3651981196*p^66*q^634+34943183267*p^64*q^636+262947125614*p^62*q^638+ 1171894314641*p^60*q^640+1799678646576*p^58*q^642+725750953979*p^56*q^644+ 113683493276*p^54*q^646+11613268880*p^52*q^648+1001320912*p^50*q^650+76792523*p ^48*q^652+4308358*p^46*q^654+45692*p^44*q^656+1684*p^42*q^658+4*p^40*q^660+48*p ^77*q^622+22644*p^75*q^624+202578*p^73*q^626+4722108*p^71*q^628+77560305*p^69*q ^630+1030278470*p^67*q^632+10887181373*p^65*q^634+94191972164*p^63*q^636+ 584060397120*p^61*q^638+1683962665352*p^59*q^640+1358714889704*p^57*q^642+ 325720084002*p^55*q^644+39690797681*p^53*q^646+3677760154*p^51*q^648+295961538* p^49*q^650+21521312*p^47*q^652+699680*p^45*q^654+19756*p^43*q^656+40*p^41*q^658 +2*p^78*q^620+172*p^76*q^622+55212*p^74*q^624+981280*p^72*q^626+19397376*p^70*q ^628+276836112*p^68*q^630+3212436637*p^66*q^632+30948954242*p^64*q^634+ 236294662085*p^62*q^636+1093468211410*p^60*q^638+1800503257379*p^58*q^640+ 775744070158*p^56*q^642+126395953013*p^54*q^644+13098725032*p^52*q^646+ 1141950195*p^50*q^648+87363724*p^48*q^650+5198754*p^46*q^652+73608*p^44*q^654+ 2672*p^42*q^656+18088*p^75*q^622+135908*p^73*q^624+4201945*p^71*q^626+68314074* p^69*q^628+902422144*p^67*q^630+9590116252*p^65*q^632+83849282339*p^63*q^634+ 531550595576*p^61*q^636+1619056949352*p^59*q^638+1409316892042*p^57*q^640+ 356000899196*p^55*q^642+44496108578*p^53*q^644+4179672870*p^51*q^646+338479478* p^49*q^648+25321850*p^47*q^650+1020022*p^45*q^652+12738*p^43*q^654+108*p^41*q^ 656+8*p^78*q^618+784*p^76*q^620+67516*p^74*q^622+877724*p^72*q^624+16118384*p^ 70*q^626+238118548*p^68*q^628+2813705466*p^66*q^630+27375490171*p^64*q^632+ 211844346850*p^62*q^634+1017793856249*p^60*q^636+1793510285884*p^58*q^638+ 828487549437*p^56*q^640+140156959412*p^54*q^642+14773519261*p^52*q^644+ 1291587592*p^50*q^646+99866884*p^48*q^648+6154476*p^46*q^650+104924*p^44*q^652+ 3048*p^42*q^654+24*p^77*q^618+4748*p^75*q^620+123126*p^73*q^622+3506122*p^71*q^ 624+60588820*p^69*q^626+790996556*p^67*q^628+8460933039*p^65*q^630+74569849916* p^63*q^632+483970975524*p^61*q^634+1551086190222*p^59*q^636+1452744958661*p^57* q^638+388415805920*p^55*q^640+49813314016*p^53*q^642+4717589038*p^51*q^644+ 388598219*p^49*q^646+28714678*p^47*q^648+1259554*p^45*q^650+6676*p^43*q^652+356 *p^41*q^654+84*p^76*q^618+75592*p^74*q^620+696068*p^72*q^622+14149818*p^70*q^ 624+206389888*p^68*q^626+2477607677*p^66*q^628+24240907348*p^64*q^630+ 189990468349*p^62*q^632+944548026506*p^60*q^634+1778216340268*p^58*q^636+ 880275240994*p^56*q^638+155297375805*p^54*q^640+16664286660*p^52*q^642+ 1468332869*p^50*q^644+112243554*p^48*q^646+7698918*p^46*q^648+187838*p^44*q^650 +3896*p^42*q^652+4*p^40*q^654+120*p^77*q^616+5756*p^75*q^618+147680*p^73*q^620+ 3127926*p^71*q^622+51969608*p^69*q^624+693166267*p^67*q^626+7441642896*p^65*q^ 628+66205174175*p^63*q^630+438906842370*p^61*q^632+1481420620826*p^59*q^634+ 1493338760378*p^57*q^636+422742328314*p^55*q^638+55820031130*p^53*q^640+ 5351419229*p^51*q^642+444331642*p^49*q^644+34203976*p^47*q^646+1525464*p^45*q^ 648+11912*p^43*q^650+232*p^41*q^652+112*p^76*q^616+42336*p^74*q^618+526000*p^72 *q^620+11974714*p^70*q^622+180799108*p^68*q^624+2169573302*p^66*q^626+ 21426064195*p^64*q^628+170043022094*p^62*q^630+874484859546*p^60*q^632+ 1757496861510*p^58*q^634+933511267482*p^56*q^636+171648253590*p^54*q^638+ 18727479310*p^52*q^640+1664365284*p^50*q^642+128457478*p^48*q^644+8649340*p^46* q^646+262860*p^44*q^648+408*p^42*q^650+24*p^40*q^652+8*p^77*q^614+2292*p^75*q^ 616+200922*p^73*q^618+2751904*p^71*q^620+44802014*p^69*q^622+603159646*p^67*q^ 624+6559150110*p^65*q^626+58851422596*p^63*q^628+397534110171*p^61*q^630+ 1409729913812*p^59*q^632+1528449991719*p^57*q^634+458745323270*p^55*q^636+ 62381506948*p^53*q^638+6052854882*p^51*q^640+506398673*p^49*q^642+38004996*p^47 *q^644+2011853*p^45*q^646+22510*p^43*q^648+696*p^41*q^650+768*p^76*q^614+29560* p^74*q^616+412764*p^72*q^618+10320484*p^70*q^620+158522544*p^68*q^622+ 1910236145*p^66*q^624+18958040516*p^64*q^626+152135095735*p^62*q^628+ 807083128456*p^60*q^630+1728802180167*p^58*q^632+985848136522*p^56*q^634+ 189539576502*p^54*q^636+21083653302*p^52*q^638+1889651098*p^50*q^640+147438106* p^48*q^642+10777322*p^46*q^644+321366*p^44*q^646+1008*p^42*q^648+8*p^40*q^650+8 *p^77*q^612+500*p^75*q^614+190592*p^73*q^616+2282782*p^71*q^618+39074674*p^69*q ^620+524579871*p^67*q^622+5774407402*p^65*q^624+52224031112*p^63*q^626+ 359697334076*p^61*q^628+1334684812672*p^59*q^630+1559149493374*p^57*q^632+ 496943142505*p^55*q^634+69667353454*p^53*q^636+6850862569*p^51*q^638+577104214* p^49*q^640+43218084*p^47*q^642+2349054*p^45*q^644+46282*p^43*q^646+44*p^41*q^ 648+340*p^76*q^612+23016*p^74*q^614+447066*p^72*q^616+9194260*p^70*q^618+ 136450792*p^68*q^620+1676383084*p^66*q^622+16721197225*p^64*q^624+135867474616* p^62*q^626+743345006626*p^60*q^628+1693807020556*p^58*q^630+1039217637985*p^56* q^632+208886464356*p^54*q^634+23713861731*p^52*q^636+2146436634*p^50*q^638+ 168664070*p^48*q^640+12811640*p^46*q^642+440929*p^44*q^644+1344*p^42*q^646+52*p ^40*q^648+2844*p^75*q^612+131028*p^73*q^614+1755254*p^71*q^616+33168118*p^69*q^ 618+461210370*p^67*q^620+5069208845*p^65*q^622+46369751508*p^63*q^624+ 324984945944*p^61*q^626+1262390261366*p^59*q^628+1580838039003*p^57*q^630+ 536807745156*p^55*q^632+77666290127*p^53*q^634+7711963124*p^51*q^636+652600939* p^49*q^638+48895678*p^47*q^640+2808884*p^45*q^642+53204*p^43*q^644+40*p^41*q^ 646+132*p^76*q^610+5740*p^74*q^612+550764*p^72*q^614+8064316*p^70*q^616+ 119765442*p^68*q^618+1467043217*p^66*q^620+14803402758*p^64*q^622+121338265937* p^62*q^624+682837453502*p^60*q^626+1652952436933*p^58*q^628+1089103617034*p^56* q^630+229898062668*p^54*q^632+26670366462*p^52*q^634+2441621869*p^50*q^636+ 194712106*p^48*q^638+14510565*p^46*q^640+564658*p^44*q^642+6076*p^42*q^644+4*p^ 40*q^646+3386*p^75*q^610+124592*p^73*q^612+1373698*p^71*q^614+29073826*p^69*q^ 616+401658678*p^67*q^618+4472758730*p^65*q^620+41070801484*p^63*q^622+ 292841803386*p^61*q^624+1188067880875*p^59*q^626+1600322046740*p^57*q^628+ 577911823203*p^55*q^630+86605656906*p^53*q^632+8716731197*p^51*q^634+745080504* p^49*q^636+55208202*p^47*q^638+3872054*p^45*q^640+86196*p^43*q^642+28*p^41*q^ 644+38*p^76*q^608+8864*p^74*q^610+465604*p^72*q^612+6892240*p^70*q^614+ 102639396*p^68*q^616+1284722450*p^66*q^618+13030029308*p^64*q^620+108217399488* p^62*q^622+625625032606*p^60*q^624+1607067569726*p^58*q^626+1140151827623*p^56* q^628+252284911770*p^54*q^630+29929619660*p^52*q^632+2767383842*p^50*q^634+ 221199388*p^48*q^636+16819930*p^46*q^638+589962*p^44*q^640+6482*p^42*q^642+1324 *p^75*q^608+57674*p^73*q^610+1422344*p^71*q^612+25360368*p^69*q^614+350589132*p ^67*q^616+3934198455*p^65*q^618+36454428014*p^63*q^620+263881808217*p^61*q^622+ 1115321198694*p^59*q^624+1610812354831*p^57*q^626+621212477160*p^55*q^628+ 96185058393*p^53*q^630+9831757348*p^51*q^632+846303254*p^49*q^634+63301918*p^47 *q^636+4424614*p^45*q^638+114904*p^43*q^640+444*p^41*q^642+15626*p^74*q^608+ 455800*p^72*q^610+5418232*p^70*q^612+89685086*p^68*q^614+1129338579*p^66*q^616+ 11515838790*p^64*q^618+96474560038*p^62*q^620+572303005426*p^60*q^622+ 1554519109851*p^58*q^624+1186693940842*p^56*q^626+276615698500*p^54*q^628+ 33638133584*p^52*q^630+3125660173*p^50*q^632+252893666*p^48*q^634+18703590*p^46 *q^636+935406*p^44*q^638+14464*p^42*q^640+852*p^75*q^606+40072*p^73*q^608+ 1373166*p^71*q^610+22585346*p^69*q^612+304253024*p^67*q^614+3450276448*p^65*q^ 616+32274255098*p^63*q^618+237240318890*p^61*q^620+1043219507594*p^59*q^622+ 1615623791066*p^57*q^624+665495147861*p^55*q^626+106985907812*p^53*q^628+ 11089632897*p^51*q^630+971084450*p^49*q^632+72774067*p^47*q^634+5520658*p^45*q^ 636+104784*p^43*q^638+646*p^41*q^640+12*p^76*q^604+10280*p^74*q^606+338282*p^72 *q^608+4540616*p^70*q^610+77401080*p^68*q^612+987744526*p^66*q^614+10158922021* p^64*q^616+85877721284*p^62*q^618+522276403459*p^60*q^620+1500379261690*p^58*q^ 622+1232030550394*p^56*q^624+302369392714*p^54*q^626+37666941061*p^52*q^628+ 3539723340*p^50*q^630+286216111*p^48*q^632+21211960*p^46*q^634+1167398*p^44*q^ 636+20518*p^42*q^638+8*p^40*q^640+72*p^75*q^604+47774*p^73*q^606+1314632*p^71*q ^608+19263732*p^69*q^610+265385456*p^67*q^612+3036612437*p^65*q^614+28564313036 *p^63*q^616+213201210641*p^61*q^618+973619605722*p^59*q^620+1613122761727*p^57* q^622+710966967384*p^55*q^624+118621301019*p^53*q^626+12492230768*p^51*q^628+ 1101171486*p^49*q^630+83459250*p^47*q^632+6225439*p^45*q^634+162670*p^43*q^636+ 1564*p^41*q^638+7710*p^74*q^604+214436*p^72*q^606+4163132*p^70*q^608+67937652*p ^68*q^610+864760652*p^66*q^612+8956534186*p^64*q^614+76534388366*p^62*q^616+ 475468686772*p^60*q^618+1441246323654*p^58*q^620+1273334845760*p^56*q^622+ 329885957216*p^54*q^624+42198652582*p^52*q^626+4005351019*p^50*q^628+328600176* p^48*q^630+23752918*p^46*q^632+1540036*p^44*q^634+16406*p^42*q^636+64*p^40*q^ 638+228*p^75*q^602+50514*p^73*q^604+1264302*p^71*q^606+15962008*p^69*q^608+ 231022060*p^67*q^610+2671798502*p^65*q^612+25286092562*p^63*q^614+191155347250* p^61*q^616+904994307443*p^59*q^618+1604527821192*p^57*q^620+756993547244*p^55*q ^622+131525009484*p^53*q^624+14106087506*p^51*q^626+1248851516*p^49*q^628+ 95334621*p^47*q^630+7381090*p^45*q^632+256020*p^43*q^634+3604*p^41*q^636+2436*p ^74*q^602+171034*p^72*q^604+3675296*p^70*q^606+60063390*p^68*q^608+751994018*p^ 66*q^610+7883536604*p^64*q^612+67975648266*p^62*q^614+432495327029*p^60*q^616+ 1378806202742*p^58*q^618+1312951295531*p^56*q^620+359173131102*p^54*q^622+ 47198171051*p^52*q^624+4523772524*p^50*q^626+378522460*p^48*q^628+27126942*p^46 *q^630+1829862*p^44*q^632+18828*p^42*q^634+64*p^40*q^636+60*p^75*q^600+42684*p^ 73*q^602+954632*p^71*q^604+13817214*p^69*q^606+199346286*p^67*q^608+2350576688* p^65*q^610+22383161138*p^63*q^612+171457637248*p^61*q^614+839974259168*p^59*q^ 616+1588869375528*p^57*q^618+803643821564*p^55*q^620+145311347172*p^53*q^622+ 15857025142*p^51*q^624+1413491686*p^49*q^626+106925462*p^47*q^628+8243738*p^45* q^630+345594*p^43*q^632+1988*p^41*q^634+4*p^39*q^636+8*p^76*q^598+2012*p^74*q^ 600+167724*p^72*q^602+3632218*p^70*q^604+51512316*p^68*q^606+662583022*p^66*q^ 608+6950349530*p^64*q^610+60460098927*p^62*q^612+392324273016*p^60*q^614+ 1315639212539*p^58*q^616+1344382968128*p^56*q^618+390518350822*p^54*q^620+ 52781953756*p^52*q^622+5120945736*p^50*q^624+433758760*p^48*q^626+31289602*p^46 *q^628+2249648*p^44*q^630+41821*p^42*q^632+514*p^40*q^634+26104*p^73*q^600+ 756158*p^71*q^602+11693126*p^69*q^604+176333866*p^67*q^606+2052908556*p^65*q^ 608+19792369024*p^63*q^610+153395055710*p^61*q^612+776561150621*p^59*q^614+ 1567492279814*p^57*q^616+850436730203*p^55*q^618+160488483004*p^53*q^620+ 17863429480*p^51*q^622+1605654298*p^49*q^624+123732984*p^47*q^626+9184400*p^45* q^628+470716*p^43*q^630+1468*p^41*q^632+4*p^76*q^596+1312*p^74*q^598+170892*p^ 72*q^600+3254440*p^70*q^602+44465984*p^68*q^604+571735912*p^66*q^606+6132565027 *p^64*q^608+53663372338*p^62*q^610+355272650857*p^60*q^612+1250266710650*p^58*q ^614+1376194021631*p^56*q^616+422549681656*p^54*q^618+58957368083*p^52*q^620+ 5784585632*p^50*q^622+491940330*p^48*q^624+34947772*p^46*q^626+2822256*p^44*q^ 628+58856*p^42*q^630+140*p^40*q^632+96*p^75*q^596+13912*p^73*q^598+551752*p^71* q^600+10361646*p^69*q^602+153528128*p^67*q^604+1809628912*p^65*q^606+ 17475116942*p^63*q^608+137332999057*p^61*q^610+716739131804*p^59*q^612+ 1539618832728*p^57*q^614+897155743872*p^55*q^616+176825733553*p^53*q^618+ 20052280876*p^51*q^620+1815967806*p^49*q^622+143945886*p^47*q^624+10401433*p^45 *q^626+519520*p^43*q^628+4274*p^41*q^630+36*p^39*q^632+8*p^76*q^594+146*p^74*q^ 596+145732*p^72*q^598+2849654*p^70*q^600+38432338*p^68*q^602+501350433*p^66*q^ 604+5399070234*p^64*q^606+47701429631*p^62*q^608+321485345498*p^60*q^610+ 1183040177957*p^58*q^612+1399003313334*p^56*q^614+457382813417*p^54*q^616+ 65712825366*p^52*q^618+6534534251*p^50*q^620+559315992*p^48*q^622+38897170*p^46 *q^624+3207940*p^44*q^626+107989*p^42*q^628+92*p^40*q^630+84*p^75*q^594+12976*p ^73*q^596+553084*p^71*q^598+9516890*p^69*q^600+133522858*p^67*q^602+1582418810* p^65*q^604+15434987042*p^63*q^606+122593039148*p^61*q^608+659478313827*p^59*q^ 610+1505964379672*p^57*q^612+942754399773*p^55*q^614+194714731558*p^53*q^616+ 22578201103*p^51*q^618+2062597792*p^49*q^620+167546275*p^47*q^622+11972342*p^45 *q^624+781548*p^43*q^626+7042*p^41*q^628+4*p^39*q^630+548*p^74*q^594+87700*p^72 *q^596+2162176*p^70*q^598+32501746*p^68*q^600+438939730*p^66*q^602+4745258673*p ^64*q^604+42294594756*p^62*q^606+290254739753*p^60*q^608+1117484319494*p^58*q^ 610+1418121990797*p^56*q^612+492914892320*p^54*q^614+73198590163*p^52*q^616+ 7367141420*p^50*q^618+632136658*p^48*q^620+44484214*p^46*q^622+3593560*p^44*q^ 624+93978*p^42*q^626+220*p^40*q^628+136*p^75*q^592+3982*p^73*q^594+548456*p^71* q^596+8730384*p^69*q^598+116974904*p^67*q^600+1381512751*p^65*q^602+13654761828 *p^63*q^604+109458750421*p^61*q^606+605893285920*p^59*q^608+1467898199632*p^57* q^610+987569319160*p^55*q^612+213570370671*p^53*q^614+25332296704*p^51*q^616+ 2338546284*p^49*q^618+191590048*p^47*q^620+12878903*p^45*q^622+1004868*p^43*q^ 624+19150*p^41*q^626+4*p^39*q^628+804*p^74*q^592+77926*p^72*q^594+1764576*p^70* q^596+28360908*p^68*q^598+383254731*p^66*q^600+4189703930*p^64*q^602+ 37502538247*p^62*q^604+261735749172*p^60*q^606+1050974967666*p^58*q^608+ 1431326192676*p^56*q^610+530038522080*p^54*q^612+81462206346*p^52*q^614+ 8314350135*p^50*q^616+717767602*p^48*q^618+52565682*p^46*q^620+4231742*p^44*q^ 622+152432*p^42*q^624+552*p^40*q^626+8*p^75*q^590+2988*p^73*q^592+418784*p^71*q ^594+7689234*p^69*q^596+100857004*p^67*q^598+1212954456*p^65*q^600+12038201853* p^63*q^602+97666061218*p^61*q^604+554410992649*p^59*q^606+1424601741172*p^57*q^ 608+1030515965378*p^55*q^610+234271581656*p^53*q^612+28433074804*p^51*q^614+ 2649179972*p^49*q^616+219107616*p^47*q^618+13798806*p^45*q^620+1182344*p^43*q^ 622+17848*p^41*q^624+4*p^39*q^626+1080*p^74*q^590+44444*p^72*q^592+1718750*p^70 *q^594+25087346*p^68*q^596+335027320*p^66*q^598+3669498920*p^64*q^600+ 33227769518*p^62*q^602+235633182366*p^60*q^604+985172042992*p^58*q^606+ 1439922117332*p^56*q^608+568522772626*p^54*q^610+90447741642*p^52*q^612+ 9384224702*p^50*q^614+815547398*p^48*q^616+62443722*p^46*q^618+4817665*p^44*q^ 620+239708*p^42*q^622+2000*p^40*q^624+4*p^77*q^586+4292*p^73*q^590+346064*p^71* q^592+6063884*p^69*q^594+87021832*p^67*q^596+1059475392*p^65*q^598+10641245100* p^63*q^600+87084541620*p^61*q^602+507381095454*p^59*q^604+1376724850387*p^57*q^ 606+1072076657100*p^55*q^608+256026118579*p^53*q^610+31851481978*p^51*q^612+ 2985476619*p^49*q^614+247398198*p^47*q^616+15244672*p^45*q^618+1382922*p^43*q^ 620+18756*p^41*q^622+22*p^39*q^624+372*p^74*q^588+22724*p^72*q^590+1510586*p^70 *q^592+23150042*p^68*q^594+293562994*p^66*q^596+3230227470*p^64*q^598+ 29465027167*p^62*q^600+211975905312*p^60*q^602+921324130543*p^58*q^604+ 1439388049664*p^56*q^606+608241873974*p^54*q^608+100347295528*p^52*q^610+ 10571218875*p^50*q^612+931105470*p^48*q^614+72802546*p^46*q^616+4916544*p^44*q^ 618+326630*p^42*q^620+3796*p^40*q^622+8*p^75*q^586+5744*p^73*q^588+279094*p^71* q^590+5337184*p^69*q^592+74777834*p^67*q^594+929515652*p^65*q^596+9378555892*p^ 63*q^598+77467938974*p^61*q^600+462544853763*p^59*q^602+1326146398702*p^57*q^ 604+1109711918932*p^55*q^606+279885260378*p^53*q^608+35715010004*p^51*q^610+ 3389716104*p^49*q^612+280507487*p^47*q^614+18302136*p^45*q^616+1825998*p^43*q^ 618+39412*p^41*q^620+80*p^39*q^622+56*p^76*q^584+52*p^74*q^586+19767*p^72*q^588 +1263316*p^70*q^590+19747366*p^68*q^592+255440696*p^66*q^594+2827866804*p^64*q^ 596+26053993108*p^62*q^598+190335022652*p^60*q^600+858805372872*p^58*q^602+ 1436877238658*p^56*q^604+647908015554*p^54*q^606+111104925955*p^52*q^608+ 11902049980*p^50*q^610+1051590433*p^48*q^612+84255708*p^46*q^614+4986010*p^44*q ^616+380600*p^42*q^618+1164*p^40*q^620+4328*p^73*q^586+161916*p^71*q^588+ 4783896*p^69*q^590+66174272*p^67*q^592+814721484*p^65*q^594+8281342752*p^63*q^ 596+69030502360*p^61*q^598+421265937706*p^59*q^600+1272691097051*p^57*q^602+ 1145872897430*p^55*q^604+304314477264*p^53*q^606+39944708372*p^51*q^608+ 3827579224*p^49*q^610+318076216*p^47*q^612+21839354*p^45*q^614+1944488*p^43*q^ 616+65062*p^41*q^618+580*p^39*q^620+8*p^76*q^582+144*p^74*q^584+23448*p^72*q^ 586+1161864*p^70*q^588+16860020*p^68*q^590+221619406*p^66*q^592+2488975124*p^64 *q^594+23079730716*p^62*q^596+170758756126*p^60*q^598+797739467133*p^58*q^600+ 1425480288590*p^56*q^602+689394299497*p^54*q^604+122884084458*p^52*q^606+ 13414911828*p^50*q^608+1195166012*p^48*q^610+96927345*p^46*q^612+5148796*p^44*q ^614+562064*p^42*q^616+4224*p^40*q^618+316*p^75*q^582+1320*p^73*q^584+115083*p^ 71*q^586+4088754*p^69*q^588+58987318*p^67*q^590+712505700*p^65*q^592+7283757106 *p^63*q^594+61362245774*p^61*q^596+382749314943*p^59*q^598+1215957212026*p^57*q ^600+1177712751420*p^55*q^602+331191172038*p^53*q^604+44640612763*p^51*q^606+ 4323515018*p^49*q^608+363128384*p^47*q^610+26161610*p^45*q^612+2084927*p^43*q^ 614+91142*p^41*q^616+18*p^39*q^618+28*p^74*q^582+25592*p^72*q^584+851404*p^70*q ^586+14766126*p^68*q^588+191018754*p^66*q^590+2182847076*p^64*q^592+20423542534 *p^62*q^594+152968380942*p^60*q^596+739591811890*p^58*q^598+1409515244343*p^56* q^600+730129678928*p^54*q^602+135674330529*p^52*q^604+15091888932*p^50*q^606+ 1359080121*p^48*q^608+108967986*p^46*q^610+5957720*p^44*q^612+691262*p^42*q^614 +7724*p^40*q^616+40*p^38*q^618+204*p^75*q^580+1296*p^73*q^582+89760*p^71*q^584+ 3743192*p^69*q^586+50939674*p^67*q^588+625032188*p^65*q^590+6414168758*p^63*q^ 592+54523865656*p^61*q^594+347386783698*p^59*q^596+1158864234611*p^57*q^598+ 1205882813044*p^55*q^600+358826131689*p^53*q^602+49810442178*p^51*q^604+ 4880291838*p^49*q^606+409040418*p^47*q^608+31717575*p^45*q^610+1901852*p^43*q^ 612+123477*p^41*q^614+246*p^39*q^616+920*p^74*q^580+14486*p^72*q^582+631133*p^ 70*q^584+12778356*p^68*q^586+169195387*p^66*q^588+1915518456*p^64*q^590+ 18075030233*p^62*q^592+137051945830*p^60*q^594+683746430763*p^58*q^596+ 1387467166482*p^56*q^598+771201289049*p^54*q^600+149440069470*p^52*q^602+ 16979567617*p^50*q^604+1540170536*p^48*q^606+124221262*p^46*q^608+6955054*p^44* q^610+853592*p^42*q^612+17788*p^40*q^614+14*p^75*q^578+660*p^73*q^580+103862*p^ 71*q^582+3267486*p^69*q^584+44457686*p^67*q^586+542417544*p^65*q^588+5649272146 *p^63*q^590+48420692944*p^61*q^592+314232352708*p^59*q^594+1099446858720*p^57*q ^596+1229888477968*p^55*q^598+388444963986*p^53*q^600+55633026958*p^51*q^602+ 5512889160*p^49*q^604+469398422*p^47*q^606+36817858*p^45*q^608+1811890*p^43*q^ 610+186630*p^41*q^612+420*p^39*q^614+1624*p^74*q^578+9400*p^72*q^580+422486*p^ 70*q^582+11131060*p^68*q^584+147532282*p^66*q^586+1683411450*p^64*q^588+ 15942249672*p^62*q^590+122493547475*p^60*q^592+630287910742*p^58*q^594+ 1361643410828*p^56*q^596+811677505560*p^54*q^598+164476557552*p^52*q^600+ 19062043300*p^50*q^602+1742939792*p^48*q^604+139737142*p^46*q^606+8930563*p^44* q^608+909838*p^42*q^610+21187*p^40*q^612+4*p^38*q^614+12*p^75*q^576+1580*p^73*q ^578+87544*p^71*q^580+2650500*p^69*q^582+38783310*p^67*q^584+472980479*p^65*q^ 586+4970219436*p^63*q^588+43026234978*p^61*q^590+284442853404*p^59*q^592+ 1039788018422*p^57*q^594+1249340154350*p^55*q^596+418800105356*p^53*q^598+ 61852152706*p^51*q^600+6216818048*p^49*q^602+532572682*p^47*q^604+42330368*p^45 *q^606+1773926*p^43*q^608+258247*p^41*q^610+2064*p^39*q^612+444*p^74*q^576+6826 *p^72*q^578+379194*p^70*q^580+10116906*p^68*q^582+129081358*p^66*q^584+ 1478523976*p^64*q^586+14105478893*p^62*q^588+109457571184*p^60*q^590+ 579915364904*p^58*q^592+1328754421574*p^56*q^594+852020562315*p^54*q^596+ 180557867666*p^52*q^598+21443577719*p^50*q^600+1975907950*p^48*q^602+157913312* p^46*q^604+11143068*p^44*q^606+785724*p^42*q^608+34958*p^40*q^610+4*p^38*q^612+ 6028*p^73*q^576+59860*p^71*q^578+2010618*p^69*q^580+33582774*p^67*q^582+ 415196948*p^65*q^584+4371612752*p^63*q^586+38143817000*p^61*q^588+256560291928* p^59*q^590+980409198006*p^57*q^592+1262693534620*p^55*q^594+451266269078*p^53*q ^596+68840812526*p^51*q^598+7015906904*p^49*q^600+608460226*p^47*q^602+48535516 *p^45*q^604+2082983*p^43*q^606+377100*p^41*q^608+3838*p^39*q^610+268*p^74*q^574 +3784*p^72*q^576+367856*p^70*q^578+8797766*p^68*q^580+112475970*p^66*q^582+ 1287110809*p^64*q^584+12433108370*p^62*q^586+97656014530*p^60*q^588+ 532103039576*p^58*q^590+1293794689674*p^56*q^592+890253592354*p^54*q^594+ 197960426852*p^52*q^596+24056883990*p^50*q^598+2233950703*p^48*q^600+179016576* p^46*q^602+13316237*p^44*q^604+691684*p^42*q^606+49860*p^40*q^608+80*p^38*q^610 +4360*p^73*q^574+45042*p^71*q^576+1496824*p^69*q^578+29421840*p^67*q^580+ 363031150*p^65*q^582+3857495468*p^63*q^584+33853562152*p^61*q^586+231428188162* p^59*q^588+921444795081*p^57*q^590+1273249839518*p^55*q^592+483457727219*p^53*q ^594+76419365604*p^51*q^596+7898080648*p^49*q^598+690757704*p^47*q^600+54485960 *p^45*q^602+2815402*p^43*q^604+355416*p^41*q^606+4000*p^39*q^608+28*p^74*q^572+ 12632*p^72*q^574+294264*p^70*q^576+7591002*p^68*q^578+98712264*p^66*q^580+ 1130750054*p^64*q^582+10975054576*p^62*q^584+87176726628*p^60*q^586+ 486931479451*p^58*q^588+1252876536332*p^56*q^590+927658327049*p^54*q^592+ 216553611968*p^52*q^594+26966074180*p^50*q^596+2524448222*p^48*q^598+204536684* p^46*q^600+15915322*p^44*q^602+518784*p^42*q^604+111254*p^40*q^606+602*p^38*q^ 608+2620*p^73*q^572+27084*p^71*q^574+1362328*p^69*q^576+25985803*p^67*q^578+ 316702564*p^65*q^580+3382768312*p^63*q^582+29983798708*p^61*q^584+208228564835* p^59*q^586+862740701968*p^57*q^588+1276982037272*p^55*q^590+518589912650*p^53*q ^592+84718227689*p^51*q^594+8931889764*p^49*q^596+790598326*p^47*q^598+61067872 *p^45*q^600+3560380*p^43*q^602+380054*p^41*q^604+5548*p^39*q^606+19020*p^72*q^ 572+230444*p^70*q^574+5845628*p^68*q^576+85819722*p^66*q^578+988133625*p^64*q^ 580+9683668962*p^62*q^582+77636413181*p^60*q^584+445103535514*p^58*q^586+ 1209256720358*p^56*q^588+962342670398*p^54*q^590+236506039974*p^52*q^592+ 30196095514*p^50*q^594+2838537478*p^48*q^596+232367564*p^46*q^598+18666888*p^44 *q^600+606070*p^42*q^602+120668*p^40*q^604+216*p^38*q^606+976*p^73*q^570+26312* p^71*q^572+1149214*p^69*q^574+23217746*p^67*q^576+277270593*p^65*q^578+ 2972743606*p^63*q^580+26554078161*p^61*q^582+187327107448*p^59*q^584+ 806211958282*p^57*q^586+1275664267708*p^55*q^588+552814049743*p^53*q^590+ 93798308304*p^51*q^592+10067152993*p^49*q^594+897208380*p^47*q^596+68253840*p^ 45*q^598+4480786*p^43*q^600+269695*p^41*q^602+21204*p^39*q^604+44*p^37*q^606+12 *p^74*q^568+15516*p^72*q^570+171392*p^70*q^572+4922604*p^68*q^574+74963461*p^66 *q^576+867079298*p^64*q^578+8553800783*p^62*q^580+69158834390*p^60*q^582+ 405866503891*p^58*q^584+1163004754084*p^56*q^586+994730275297*p^54*q^588+ 257538015572*p^52*q^590+33796730971*p^50*q^592+3204585724*p^48*q^594+266319070* p^46*q^596+21669428*p^44*q^598+778600*p^42*q^600+158626*p^40*q^602+300*p^38*q^ 604+2*p^75*q^566+80*p^73*q^568+46424*p^71*q^570+969872*p^69*q^572+19760880*p^67 *q^574+243352724*p^65*q^576+2609141845*p^63*q^578+23484149656*p^61*q^580+ 168099686157*p^59*q^582+750359672714*p^57*q^584+1269394577361*p^55*q^586+ 588748723666*p^53*q^588+103751205742*p^51*q^590+11348452824*p^49*q^592+ 1018970041*p^47*q^594+76971264*p^45*q^596+5494492*p^43*q^598+175928*p^41*q^600+ 30208*p^39*q^602+10516*p^72*q^568+119064*p^70*q^570+4151823*p^68*q^572+65839308 *p^66*q^574+756888542*p^64*q^576+7525756676*p^62*q^578+61552393259*p^60*q^580+ 369007494356*p^58*q^582+1114767842026*p^56*q^584+1024800615050*p^54*q^586+ 280089146953*p^52*q^588+37731949506*p^50*q^590+3628695415*p^48*q^592+307366998* p^46*q^594+23933312*p^44*q^596+1062610*p^42*q^598+172961*p^40*q^600+2200*p^38*q ^602+8*p^75*q^564+260*p^73*q^566+55876*p^71*q^568+791458*p^69*q^570+16470524*p^ 67*q^572+212185946*p^65*q^574+2289534124*p^63*q^576+20806415167*p^61*q^578+ 150810125174*p^59*q^580+696900150158*p^57*q^582+1258141034422*p^55*q^584+ 624074620992*p^53*q^586+114431753360*p^51*q^588+12768025864*p^49*q^590+ 1139267144*p^47*q^592+86104306*p^45*q^594+6980814*p^43*q^596+156016*p^41*q^598+ 38660*p^39*q^600+24*p^74*q^564+2544*p^72*q^566+111294*p^70*q^568+3500644*p^68*q ^570+58585657*p^66*q^572+664274818*p^64*q^574+6647219449*p^62*q^576+54744093894 *p^60*q^578+335578365805*p^58*q^580+1062755626022*p^56*q^582+1051442924401*p^54 *q^584+303767997344*p^52*q^586+42111179665*p^50*q^588+4104120708*p^48*q^590+ 356340309*p^46*q^592+26761910*p^44*q^594+1300394*p^42*q^596+108352*p^40*q^598+ 5942*p^38*q^600+40*p^73*q^564+56634*p^71*q^566+615356*p^69*q^568+14186203*p^67* q^570+185143158*p^65*q^572+2007768955*p^63*q^574+18380746958*p^61*q^576+ 135053472873*p^59*q^578+645017419664*p^57*q^580+1240752118013*p^55*q^582+ 660881388720*p^53*q^584+126140536103*p^51*q^586+14386145736*p^49*q^588+ 1287716612*p^47*q^590+98326814*p^45*q^592+8398338*p^43*q^594+210178*p^41*q^596+ 73734*p^39*q^598+88*p^37*q^600+120*p^74*q^562+2576*p^72*q^564+133676*p^70*q^566 +2968338*p^68*q^568+49877160*p^66*q^570+581568115*p^64*q^572+5835892536*p^62*q^ 574+48599543298*p^60*q^576+304159172366*p^58*q^578+1012117813199*p^56*q^580+ 1073600472064*p^54*q^582+329022821525*p^52*q^584+46942761300*p^50*q^586+ 4636270603*p^48*q^588+405444388*p^46*q^590+29345252*p^44*q^592+1732358*p^42*q^ 594+66077*p^40*q^596+4654*p^38*q^598+112*p^73*q^562+28608*p^71*q^564+459245*p^ 69*q^566+11832678*p^67*q^568+164109893*p^65*q^570+1760840938*p^63*q^572+ 16270089576*p^61*q^574+120985434690*p^59*q^576+596103839785*p^57*q^578+ 1219955835066*p^55*q^580+695421235507*p^53*q^582+138721289290*p^51*q^584+ 16137125463*p^49*q^586+1449844572*p^47*q^588+114456482*p^45*q^590+9462024*p^43* q^592+264877*p^41*q^594+63180*p^39*q^596+796*p^37*q^598+8*p^74*q^560+1072*p^72* q^562+180808*p^70*q^564+2528960*p^68*q^566+43540394*p^66*q^568+508973446*p^64*q ^570+5145818042*p^62*q^572+43177982040*p^60*q^574+275161112433*p^58*q^576+ 958765740930*p^56*q^578+1093297713859*p^54*q^580+354865492344*p^52*q^582+ 52287112504*p^50*q^584+5258843618*p^48*q^586+459083340*p^46*q^588+31840614*p^44 *q^590+2457558*p^42*q^592+37298*p^40*q^594+18399*p^38*q^596+768*p^73*q^560+ 17738*p^71*q^562+366454*p^69*q^564+10021590*p^67*q^566+142735568*p^65*q^568+ 1544462745*p^63*q^570+14366457242*p^61*q^572+108082548613*p^59*q^574+ 548924762012*p^57*q^576+1194029210929*p^55*q^578+731623310346*p^53*q^580+ 152301315210*p^51*q^582+18134892348*p^49*q^584+1635674437*p^47*q^586+135597646* p^45*q^588+10812736*p^43*q^590+313182*p^41*q^592+50880*p^39*q^594+184*p^37*q^ 596+8*p^74*q^558+392*p^72*q^560+155744*p^70*q^562+2027420*p^68*q^564+37473684*p ^66*q^566+445849759*p^64*q^568+4522369786*p^62*q^570+38303275551*p^60*q^572+ 248761116482*p^58*q^574+905446762210*p^56*q^576+1108006707520*p^54*q^578+ 382586792350*p^52*q^580+58078369064*p^50*q^582+5937712687*p^48*q^584+518200812* p^46*q^586+34644488*p^44*q^588+3030914*p^42*q^590+51162*p^40*q^592+23454*p^38*q ^594+48*p^36*q^596+304*p^73*q^558+12140*p^71*q^560+419634*p^69*q^562+8632296*p^ 67*q^564+123853079*p^65*q^566+1354926092*p^63*q^568+12685805210*p^61*q^570+ 96581886934*p^59*q^572+504758323932*p^57*q^574+1164083935702*p^55*q^576+ 765328065239*p^53*q^578+166973144824*p^51*q^580+20330418744*p^49*q^582+ 1854955442*p^47*q^584+156836172*p^45*q^586+11881518*p^43*q^588+515132*p^41*q^ 590+18408*p^39*q^592+2429*p^37*q^594+2704*p^72*q^558+99678*p^70*q^560+1534614*p ^68*q^562+31902562*p^66*q^564+394424222*p^64*q^566+3976333599*p^62*q^568+ 34016899008*p^60*q^570+224554291405*p^58*q^572+852557862434*p^56*q^574+ 1117732799227*p^54*q^576+410580567980*p^52*q^578+64466320187*p^50*q^580+ 6704256916*p^48*q^582+576649840*p^46*q^584+40794828*p^44*q^586+3592334*p^42*q^ 588+43856*p^40*q^590+27258*p^38*q^592+128*p^73*q^556+3762*p^71*q^558+505480*p^ 69*q^560+7445287*p^67*q^562+108708812*p^65*q^564+1183325540*p^63*q^566+ 11202948248*p^61*q^568+86118936026*p^59*q^570+462575339024*p^57*q^572+ 1130349077239*p^55*q^574+798908524304*p^53*q^576+182745086902*p^51*q^578+ 22828928658*p^49*q^580+2108066327*p^47*q^582+183894010*p^45*q^584+12051462*p^43 *q^586+779546*p^41*q^588+8490*p^39*q^590+5376*p^37*q^592+2*p^76*q^552+2948*p^72 *q^556+79926*p^70*q^558+1208412*p^68*q^560+27135486*p^66*q^562+342382437*p^64*q ^564+3493632620*p^62*q^566+30102772751*p^60*q^568+202239719334*p^58*q^570+ 800448729348*p^56*q^572+1124275188194*p^54*q^574+440180629056*p^52*q^576+ 71441065742*p^50*q^578+7542182033*p^48*q^580+649194016*p^46*q^582+47438762*p^44 *q^584+4461688*p^42*q^586+71958*p^40*q^588+17656*p^38*q^590+122*p^36*q^592+32*p ^73*q^554+6804*p^71*q^556+414034*p^69*q^558+6131994*p^67*q^560+94266294*p^65*q^ 562+1044765728*p^63*q^564+9880451619*p^61*q^566+76900180104*p^59*q^568+ 423321419045*p^57*q^570+1093699085862*p^55*q^572+829675378173*p^53*q^574+ 199426785168*p^51*q^576+25514012970*p^49*q^578+2394496380*p^47*q^580+206489076* p^45*q^582+12530092*p^43*q^584+970782*p^41*q^586+6844*p^39*q^588+8052*p^37*q^ 590+1224*p^72*q^554+38440*p^70*q^556+1294914*p^68*q^558+23685712*p^66*q^560+ 300021768*p^64*q^562+3068047507*p^62*q^564+26700754798*p^60*q^566+182023501942* p^58*q^568+748475273704*p^56*q^570+1125318452654*p^54*q^572+469980077714*p^52*q ^574+79118958634*p^50*q^576+8528308920*p^48*q^578+728698614*p^46*q^580+58661216 *p^44*q^582+4941924*p^42*q^584+139160*p^40*q^586+2454*p^38*q^588+758*p^36*q^590 +32*p^75*q^550+13312*p^71*q^554+357452*p^69*q^556+4743115*p^67*q^558+81202186*p ^65*q^560+917755516*p^63*q^562+8712560710*p^61*q^564+68422487504*p^59*q^566+ 386490902892*p^57*q^568+1052895823625*p^55*q^570+860044503330*p^53*q^572+ 217392033830*p^51*q^574+28552670080*p^49*q^576+2711080327*p^47*q^578+233722212* p^45*q^580+13460654*p^43*q^582+1294494*p^41*q^584+5704*p^39*q^586+11028*p^37*q^ 588+764*p^72*q^552+26264*p^70*q^554+1268640*p^68*q^556+20426910*p^66*q^558+ 261511679*p^64*q^560+2685862676*p^62*q^562+23622418322*p^60*q^564+163553123826* p^58*q^566+698545445328*p^56*q^568+1121961635414*p^54*q^570+501040896253*p^52*q ^572+87370149618*p^50*q^574+9599258622*p^48*q^576+827050496*p^46*q^578+69186400 *p^44*q^580+4991184*p^42*q^582+216070*p^40*q^584+1184*p^38*q^586+1134*p^36*q^ 588+8*p^73*q^550+8692*p^71*q^552+245892*p^69*q^554+3932060*p^67*q^556+70194338* p^65*q^558+804598008*p^63*q^560+7686958627*p^61*q^562+60955451972*p^59*q^564+ 352257356197*p^57*q^566+1011866285692*p^55*q^568+885851218176*p^53*q^570+ 236455242326*p^51*q^572+31868383104*p^49*q^574+3067600402*p^47*q^576+258747574* p^45*q^578+15778122*p^43*q^580+1736766*p^41*q^582+15664*p^39*q^584+2425*p^37*q^ 586+52*p^35*q^588+213*p^74*q^548+56*p^72*q^550+37932*p^70*q^552+1191320*p^68*q^ 554+17218598*p^66*q^556+229114134*p^64*q^558+2371267799*p^62*q^560+20918088344* p^60*q^562+146838283017*p^58*q^564+649437144586*p^56*q^566+1113860815318*p^54*q ^568+531550496206*p^52*q^570+96462237636*p^50*q^572+10803716448*p^48*q^574+ 943175804*p^46*q^576+81379354*p^44*q^578+4772578*p^42*q^580+273390*p^40*q^582+ 184*p^38*q^584+3930*p^36*q^586+6950*p^71*q^550+155176*p^69*q^552+3650170*p^67*q ^554+60973202*p^65*q^556+703356270*p^63*q^558+6748159890*p^61*q^560+54196239128 *p^59*q^562+320017287704*p^57*q^564+967280357804*p^55*q^566+911723975724*p^53*q ^568+256459493057*p^51*q^570+35573541344*p^49*q^572+3484360782*p^47*q^574+ 287651050*p^45*q^576+19979710*p^43*q^578+2061432*p^41*q^580+33608*p^39*q^582+ 124*p^37*q^584+52*p^35*q^586+60*p^74*q^546+160*p^72*q^548+39584*p^70*q^550+ 1030754*p^68*q^552+13840074*p^66*q^554+198309521*p^64*q^556+2082541918*p^62*q^ 558+18512238641*p^60*q^560+131636480890*p^58*q^562+602502449407*p^56*q^564+ 1101600376546*p^54*q^566+563415508749*p^52*q^568+106171418642*p^50*q^570+ 12148387458*p^48*q^572+1065744654*p^46*q^574+93744235*p^44*q^576+4409980*p^42*q ^578+426028*p^40*q^580+1024*p^38*q^582+1848*p^36*q^584+764*p^73*q^546+2000*p^71 *q^548+124278*p^69*q^550+3357804*p^67*q^552+53402034*p^65*q^554+616193590*p^63* q^556+5944556600*p^61*q^558+48171277320*p^59*q^560+290795807697*p^57*q^562+ 921510462300*p^55*q^564+932336126315*p^53*q^566+277828160846*p^51*q^568+ 39612317203*p^49*q^570+3928177618*p^47*q^572+323916244*p^45*q^574+24170776*p^43 *q^576+2192744*p^41*q^578+50912*p^39*q^580+4*p^37*q^582+736*p^35*q^584+36*p^72* q^546+36968*p^70*q^548+754962*p^68*q^550+11804294*p^66*q^552+172558510*p^64*q^ 554+1833918246*p^62*q^556+16361998670*p^60*q^558+117962832321*p^58*q^560+ 557372412380*p^56*q^562+1084388777376*p^54*q^564+593957787140*p^52*q^566+ 116888153224*p^50*q^568+13646755654*p^48*q^570+1220712714*p^46*q^572+104123710* p^44*q^574+5101544*p^42*q^576+609740*p^40*q^578+2736*p^38*q^580+4*p^36*q^582+ 776*p^73*q^544+1484*p^71*q^546+125824*p^69*q^548+3213632*p^67*q^550+45177888*p^ 65*q^552+539936197*p^63*q^554+5228375958*p^61*q^556+42791369174*p^59*q^558+ 263299723392*p^57*q^560+875233597707*p^55*q^562+950383562416*p^53*q^564+ 300082179055*p^51*q^566+44085489052*p^49*q^568+4449770227*p^47*q^570+362005948* p^45*q^572+30612308*p^43*q^574+1915660*p^41*q^576+68692*p^39*q^578+24*p^37*q^ 580+845*p^35*q^582+1598*p^72*q^544+21784*p^70*q^546+573308*p^68*q^548+10041334* p^66*q^550+150980259*p^64*q^552+1604386968*p^62*q^554+14442247395*p^60*q^556+ 105379784764*p^58*q^558+514369744173*p^56*q^560+1064154377412*p^54*q^562+ 625372455960*p^52*q^564+128231651456*p^50*q^566+15342523283*p^48*q^568+ 1388258492*p^46*q^570+116959446*p^44*q^572+5883430*p^42*q^574+848052*p^40*q^576 +8052*p^38*q^578+56*p^34*q^582+52*p^73*q^542+876*p^71*q^544+136236*p^69*q^546+ 2738122*p^67*q^548+38106941*p^65*q^550+469091552*p^63*q^552+4611174830*p^61*q^ 554+38009566256*p^59*q^556+238350180172*p^57*q^558+828710590532*p^55*q^560+ 965092520029*p^53*q^562+323125331338*p^51*q^564+48936230716*p^49*q^566+ 5002635302*p^47*q^568+409766598*p^45*q^570+35241004*p^43*q^572+1713820*p^41*q^ 574+115206*p^39*q^576+108*p^37*q^578+4064*p^72*q^542+10622*p^70*q^544+422942*p^ 68*q^546+9138996*p^66*q^548+132149684*p^64*q^550+1415853741*p^62*q^552+ 12757230926*p^60*q^554+94285462342*p^58*q^556+473020746686*p^56*q^558+ 1039143390830*p^54*q^560+654910979842*p^52*q^562+140670952383*p^50*q^564+ 17206963930*p^48*q^566+1582397909*p^46*q^568+128512084*p^44*q^570+8121580*p^42* q^572+897688*p^40*q^574+8716*p^38*q^576+227*p^34*q^580+52*p^73*q^540+2084*p^71* q^542+120844*p^69*q^544+2307350*p^67*q^546+32354526*p^65*q^548+409153106*p^63*q ^550+4054277570*p^61*q^552+33693333445*p^59*q^554+215155810840*p^57*q^556+ 780864308439*p^55*q^558+976482778114*p^53*q^560+347552661515*p^51*q^562+ 54325089062*p^49*q^564+5661778919*p^47*q^566+470282554*p^45*q^568+42070132*p^43 *q^570+1450506*p^41*q^572+213944*p^39*q^574+684*p^37*q^576+1250*p^72*q^540+9384 *p^70*q^542+413296*p^68*q^544+8151180*p^66*q^546+113127432*p^64*q^548+ 1236203258*p^62*q^550+11234634081*p^60*q^552+84144402878*p^58*q^554+ 434623322818*p^56*q^556+1010907723600*p^54*q^558+684915477591*p^52*q^560+ 153731428492*p^50*q^562+19271785435*p^48*q^564+1786922092*p^46*q^566+140340762* p^44*q^568+10032306*p^42*q^570+876972*p^40*q^572+13364*p^38*q^574+4*p^36*q^576+ 11178*p^71*q^540+68380*p^69*q^542+1732116*p^67*q^544+27637270*p^65*q^546+ 360249442*p^63*q^548+3570854494*p^61*q^550+29926420110*p^59*q^552+194164247997* p^57*q^554+734816347352*p^55*q^556+982282429136*p^53*q^558+372633218420*p^51*q^ 560+60164480829*p^49*q^562+6371088918*p^47*q^564+539022190*p^45*q^566+47400382* p^43*q^568+1719916*p^41*q^570+298906*p^39*q^572+1236*p^37*q^574+33*p^33*q^578+ 744*p^72*q^538+4240*p^70*q^540+439584*p^68*q^542+7348478*p^66*q^544+98192636*p^ 64*q^546+1079950165*p^62*q^548+9924407648*p^60*q^550+75024849887*p^58*q^552+ 398119544626*p^56*q^554+979718080093*p^54*q^556+711802391614*p^52*q^558+ 168038514920*p^50*q^560+21568060192*p^48*q^562+2029538645*p^46*q^564+156040648* p^44*q^566+12670120*p^42*q^568+696992*p^40*q^570+31160*p^38*q^572+16*p^36*q^574 +9256*p^71*q^538+59116*p^69*q^540+1359491*p^67*q^542+23932362*p^65*q^544+ 313436328*p^63*q^546+3146743164*p^61*q^548+26457152874*p^59*q^550+174774496914* p^57*q^552+688243372397*p^55*q^554+986162596770*p^53*q^556+398180262756*p^51*q^ 558+66640013830*p^49*q^560+7203448772*p^47*q^562+617538762*p^45*q^564+52686014* p^43*q^566+2375222*p^41*q^568+352814*p^39*q^570+792*p^37*q^572+120*p^72*q^536+ 18488*p^70*q^538+326998*p^68*q^540+6288304*p^66*q^542+83636398*p^64*q^544+ 946446016*p^62*q^546+8737788520*p^60*q^548+66905233556*p^58*q^550+363766400478* p^56*q^552+946194952468*p^54*q^554+738998152561*p^52*q^556+182885919178*p^50*q^ 558+24091525569*p^48*q^560+2286626446*p^46*q^562+176284256*p^44*q^564+15663546* p^42*q^566+441104*p^40*q^568+67600*p^38*q^570+132*p^36*q^572+2*p^32*q^576+5372* p^71*q^536+32128*p^69*q^538+1333530*p^67*q^540+20989472*p^65*q^542+273530846*p^ 63*q^544+2761871530*p^61*q^546+23444494876*p^59*q^548+157224983003*p^57*q^550+ 643214170484*p^55*q^552+984661933917*p^53*q^554+424787196140*p^51*q^556+ 73534637202*p^49*q^558+8117064362*p^47*q^560+707043314*p^45*q^562+56529684*p^43 *q^564+2956180*p^41*q^566+407824*p^39*q^568+2236*p^37*q^570+4*p^74*q^532+32296* p^70*q^536+269900*p^68*q^538+4908591*p^66*q^540+72283850*p^64*q^542+829633744*p ^62*q^544+7721127188*p^60*q^546+59602785715*p^58*q^548+331970182766*p^56*q^550+ 909309913006*p^54*q^552+762804618762*p^52*q^554+199092628920*p^50*q^556+ 26893027458*p^48*q^558+2579796243*p^46*q^560+201332584*p^44*q^562+18715580*p^42 *q^564+507538*p^40*q^566+84884*p^38*q^568+12*p^36*q^570+2532*p^71*q^534+30978*p ^69*q^536+1174140*p^67*q^538+19040102*p^65*q^540+237593914*p^63*q^542+ 2421116370*p^61*q^544+20727609492*p^59*q^546+141150878546*p^57*q^548+ 598952134217*p^55*q^550+979162477060*p^53*q^552+451393253253*p^51*q^554+ 81200705674*p^49*q^556+9150224293*p^47*q^558+809839592*p^45*q^560+61195594*p^43 *q^562+4119772*p^41*q^564+280438*p^39*q^566+9884*p^37*q^568+4*p^35*q^570+44*p^ 72*q^532+25484*p^70*q^534+203384*p^68*q^536+4185184*p^66*q^538+61314394*p^64*q^ 540+724069652*p^62*q^542+6802220209*p^60*q^544+52981541862*p^58*q^546+ 302197773898*p^56*q^548+871851778838*p^54*q^550+785596471761*p^52*q^552+ 216038491788*p^50*q^554+29979161882*p^48*q^556+2919444530*p^46*q^558+231604898* p^44*q^560+21538948*p^42*q^562+549408*p^40*q^564+145532*p^38*q^566+44*p^36*q^ 568+56*p^73*q^530+176*p^71*q^532+66014*p^69*q^534+986622*p^67*q^536+16081459*p^ 65*q^538+206623624*p^63*q^540+2126986898*p^61*q^542+18330998612*p^59*q^544+ 126720476868*p^57*q^546+556733228226*p^55*q^548+970134539266*p^53*q^550+ 478240016302*p^51*q^552+89251192998*p^49*q^554+10276505808*p^47*q^556+913116306 *p^45*q^558+66077820*p^43*q^560+5238788*p^41*q^562+174732*p^39*q^564+13292*p^37 *q^566+19811*p^70*q^532+126546*p^68*q^534+3742818*p^66*q^536+54051620*p^64*q^ 538+636106200*p^62*q^540+5995979650*p^60*q^542+47164327083*p^58*q^544+ 274516366274*p^56*q^546+832020885905*p^54*q^548+804682769228*p^52*q^550+ 234044190624*p^50*q^552+33429613566*p^48*q^554+3306484403*p^46*q^556+270446284* p^44*q^558+23618772*p^42*q^560+850504*p^40*q^562+163542*p^38*q^564+732*p^36*q^ 566+8*p^73*q^528+728*p^71*q^530+78232*p^69*q^532+873722*p^67*q^534+13479668*p^ 65*q^536+178121035*p^63*q^538+1861685966*p^61*q^540+16193464489*p^59*q^542+ 113444666952*p^57*q^544+515220703031*p^55*q^546+957258827934*p^53*q^548+ 505320296143*p^51*q^550+98307044776*p^49*q^552+11546526464*p^47*q^554+ 1031470940*p^45*q^556+73572654*p^43*q^558+6906118*p^41*q^560+108736*p^39*q^562+ 26926*p^37*q^564+316*p^72*q^528+5060*p^70*q^530+134281*p^68*q^532+3162634*p^66* q^534+47255737*p^64*q^536+553859328*p^62*q^538+5276433015*p^60*q^540+ 41848926400*p^58*q^542+249103092403*p^56*q^544+791387292562*p^54*q^546+ 822397535491*p^52*q^548+252743292140*p^50*q^550+37118317786*p^48*q^552+ 3746662826*p^46*q^554+313792874*p^44*q^556+25196530*p^42*q^558+1092336*p^40*q^ 560+121246*p^38*q^562+1744*p^36*q^564+84*p^71*q^528+83888*p^69*q^530+624628*p^ 67*q^532+11637628*p^65*q^534+153446396*p^63*q^536+1635371261*p^61*q^538+ 14323419274*p^59*q^540+101619423724*p^57*q^542+476522881506*p^55*q^544+ 940020619573*p^53*q^546+532178012306*p^51*q^548+107740299886*p^49*q^550+ 12967665882*p^47*q^552+1158831064*p^45*q^554+82849790*p^43*q^556+8296544*p^41*q ^558+137148*p^39*q^560+53256*p^37*q^562+16*p^35*q^564+200*p^72*q^526+5458*p^70* q^528+167664*p^68*q^530+2893106*p^66*q^532+40747780*p^64*q^534+485905320*p^62*q ^536+4643732146*p^60*q^538+37171430509*p^58*q^540+225501498254*p^56*q^542+ 750268922850*p^54*q^544+835245045172*p^52*q^546+272717589307*p^50*q^548+ 41241377804*p^48*q^550+4232874107*p^46*q^552+361662218*p^44*q^554+26245426*p^42 *q^556+1637904*p^40*q^558+58444*p^38*q^560+2084*p^36*q^562+920*p^71*q^526+45656 *p^69*q^528+496188*p^67*q^530+9917960*p^65*q^532+133760258*p^63*q^534+ 1430289146*p^61*q^536+12640501636*p^59*q^538+90775457582*p^57*q^540+ 438778813982*p^55*q^542+920327296278*p^53*q^544+558156128712*p^51*q^546+ 118188698658*p^49*q^548+14544305673*p^47*q^550+1318365732*p^45*q^552+97391574*p ^43*q^554+9824778*p^41*q^556+186880*p^39*q^558+60508*p^37*q^560+148*p^35*q^562+ 12*p^72*q^524+2188*p^70*q^526+223796*p^68*q^528+2399436*p^66*q^530+34877064*p^ 64*q^532+420883966*p^62*q^534+4078670029*p^60*q^536+32952128720*p^58*q^538+ 203817677441*p^56*q^540+708945272474*p^54*q^542+847120426345*p^52*q^544+ 292936506532*p^50*q^546+45747144681*p^48*q^548+4786648172*p^46*q^550+406698231* p^44*q^552+27381474*p^42*q^554+2224054*p^40*q^556+20256*p^38*q^558+9452*p^36*q^ 560+1576*p^71*q^524+29288*p^69*q^526+405250*p^67*q^528+8677154*p^65*q^530+ 116107846*p^63*q^532+1256247313*p^61*q^534+11172111598*p^59*q^536+81158884794*p ^57*q^538+403478174750*p^55*q^540+896787843627*p^53*q^542+584069105560*p^51*q^ 544+129111246570*p^49*q^546+16257121106*p^47*q^548+1485595389*p^45*q^550+ 117020534*p^43*q^552+10531018*p^41*q^554+263952*p^39*q^556+48192*p^37*q^558+36* p^35*q^560+8*p^72*q^522+1732*p^70*q^524+203904*p^68*q^526+1988542*p^66*q^528+ 30103972*p^64*q^530+367154237*p^62*q^532+3587178806*p^60*q^534+29221143213*p^58 *q^536+184006240598*p^56*q^538+667165703155*p^54*q^540+853720407654*p^52*q^542+ 314579259897*p^50*q^544+50628952524*p^48*q^546+5414402393*p^46*q^548+462352194* p^44*q^550+28714024*p^42*q^552+3019984*p^40*q^554+31090*p^38*q^556+15700*p^36*q ^558+4*p^34*q^560+436*p^71*q^522+21868*p^69*q^524+469466*p^67*q^526+7595616*p^ 65*q^528+100529996*p^63*q^530+1099180530*p^61*q^532+9845136713*p^59*q^534+ 72369255644*p^57*q^536+370034440924*p^55*q^538+870228937246*p^53*q^540+ 608403594081*p^51*q^542+141177649434*p^49*q^544+18204733943*p^47*q^546+ 1688107144*p^45*q^548+136350473*p^43*q^550+11384410*p^41*q^552+443014*p^39*q^ 554+11962*p^37*q^556+800*p^35*q^558+5948*p^70*q^522+135148*p^68*q^524+1532014*p ^66*q^526+25906826*p^64*q^528+319134792*p^62*q^530+3143984193*p^60*q^532+ 25871190572*p^58*q^534+165766887293*p^56*q^536+626463211064*p^54*q^538+ 857851684579*p^52*q^540+336351485452*p^50*q^542+56008654287*p^48*q^544+ 6105545914*p^46*q^546+518085308*p^44*q^548+33737938*p^42*q^550+3645832*p^40*q^ 552+27336*p^38*q^554+23656*p^36*q^556+200*p^71*q^520+6788*p^69*q^522+563016*p^ 67*q^524+6539538*p^65*q^526+86463992*p^63*q^528+960998046*p^61*q^530+8689190620 *p^59*q^532+64524638907*p^57*q^534+338875761732*p^55*q^536+842105074369*p^53*q^ 538+631694873994*p^51*q^540+153586156933*p^49*q^542+20328330844*p^47*q^544+ 1915406450*p^45*q^546+158354012*p^43*q^548+10664498*p^41*q^550+657868*p^39*q^ 552+4784*p^37*q^554+2128*p^35*q^556+4420*p^70*q^520+119538*p^68*q^522+1237035*p ^66*q^524+22504002*p^64*q^526+278876582*p^62*q^528+2770146466*p^60*q^530+ 22932796088*p^58*q^532+149196181726*p^56*q^534+586007761874*p^54*q^536+ 857847850212*p^52*q^538+358769082639*p^50*q^540+61833424036*p^48*q^542+ 6869168546*p^46*q^544+583157292*p^44*q^546+40002709*p^42*q^548+4498764*p^40*q^ 550+62966*p^38*q^552+12208*p^36*q^554+16*p^34*q^556+24*p^71*q^518+14512*p^69*q^ 520+476246*p^67*q^522+5648334*p^65*q^524+74890848*p^63*q^526+840514352*p^61*q^ 528+7641677528*p^59*q^530+57441642412*p^57*q^532+308982589989*p^55*q^534+ 811063204530*p^53*q^536+653547961920*p^51*q^538+167373230228*p^49*q^540+ 22695771069*p^47*q^542+2188100630*p^45*q^544+182692460*p^43*q^546+10670350*p^41 *q^548+940372*p^39*q^550+2822*p^37*q^552+5652*p^35*q^554+2140*p^70*q^518+56028* p^68*q^520+1309818*p^66*q^522+19296813*p^64*q^524+240164144*p^62*q^526+ 2421018135*p^60*q^528+20276134028*p^58*q^530+134050695747*p^56*q^532+ 546683719164*p^54*q^534+855381579153*p^52*q^536+381646124712*p^50*q^538+ 68092887071*p^48*q^540+7728847196*p^46*q^542+655247953*p^44*q^544+48200854*p^42 *q^546+4826692*p^40*q^548+102168*p^38*q^550+1380*p^36*q^552+160*p^34*q^554+2*p^ 73*q^514+19816*p^69*q^518+443128*p^67*q^520+4369918*p^65*q^522+65138504*p^63*q^ 524+736957143*p^61*q^526+6748819446*p^59*q^528+51156662427*p^57*q^530+ 281981663182*p^55*q^532+777893973901*p^53*q^534+673578877686*p^51*q^536+ 181381548683*p^49*q^538+25287760752*p^47*q^540+2477356872*p^45*q^542+204972824* p^43*q^544+11181882*p^41*q^546+1257730*p^39*q^548+5274*p^37*q^550+6908*p^35*q^ 552+780*p^70*q^516+44488*p^68*q^518+1285344*p^66*q^520+17276404*p^64*q^522+ 208154172*p^62*q^524+2125569584*p^60*q^526+17934527921*p^58*q^528+120338436022* p^56*q^530+508427302503*p^54*q^532+847665269588*p^52*q^534+405040149482*p^50*q^ 536+74997712134*p^48*q^538+8693209008*p^46*q^540+746516192*p^44*q^542+58929212* p^42*q^544+4637294*p^40*q^546+175870*p^38*q^548+484*p^36*q^550+552*p^34*q^552+8 *p^71*q^514+14332*p^69*q^516+315508*p^67*q^518+3738590*p^65*q^520+55760118*p^63 *q^522+642951890*p^61*q^524+5928198111*p^59*q^526+45436052066*p^57*q^528+ 256272301882*p^55*q^530+744206768054*p^53*q^532+690936947405*p^51*q^534+ 196787442494*p^49*q^536+28133435970*p^47*q^538+2808510406*p^45*q^540+229067336* p^43*q^542+12667140*p^41*q^544+1765250*p^39*q^546+11958*p^37*q^548+1328*p^35*q^ 550+4*p^33*q^552+28*p^72*q^512+64*p^70*q^514+54244*p^68*q^516+1252270*p^66*q^ 518+14537566*p^64*q^520+181015136*p^62*q^522+1864394669*p^60*q^524+15840537290* p^58*q^526+107869839254*p^56*q^528+471628801794*p^54*q^530+838336421810*p^52*q^ 532+427766349772*p^50*q^534+82458037438*p^48*q^536+9760338332*p^46*q^538+ 852368254*p^44*q^540+69458278*p^42*q^542+4345162*p^40*q^544+237536*p^38*q^546+ 164*p^36*q^548+1996*p^34*q^550+8420*p^69*q^514+206614*p^67*q^516+3397442*p^65*q ^518+48590504*p^63*q^520+558906911*p^61*q^522+5211298564*p^59*q^524+40395795898 *p^57*q^526+232596792162*p^55*q^528+709208712465*p^53*q^530+706913950302*p^51*q ^532+212337966860*p^49*q^534+31257859740*p^47*q^536+3179522627*p^45*q^538+ 254102756*p^43*q^540+15826654*p^41*q^542+1927320*p^39*q^544+21678*p^37*q^546+64 *p^35*q^548+12*p^33*q^550+4*p^72*q^510+188*p^70*q^512+59072*p^68*q^514+1140999* p^66*q^516+12130134*p^64*q^518+156807570*p^62*q^520+1640711066*p^60*q^522+ 14020269099*p^58*q^524+96591556184*p^56*q^526+436336697884*p^54*q^528+ 824375621008*p^52*q^530+451198274605*p^50*q^532+90373208946*p^48*q^534+ 10947575331*p^46*q^536+971326298*p^44*q^538+80518338*p^42*q^540+3732850*p^40*q^ 542+429686*p^38*q^544+1040*p^36*q^546+880*p^34*q^548+158*p^71*q^510+2124*p^69*q ^512+166812*p^67*q^514+3167254*p^65*q^516+42722754*p^63*q^518+485667910*p^61*q^ 520+4577750470*p^59*q^522+35817053256*p^57*q^524+210713873159*p^55*q^526+ 672403106794*p^53*q^528+719810235951*p^51*q^530+229346069378*p^49*q^532+ 34715723639*p^47*q^534+3600133058*p^45*q^536+287842946*p^43*q^538+19875850*p^41 *q^540+2156638*p^39*q^542+35224*p^37*q^544+268*p^33*q^548+54*p^70*q^510+48082*p ^68*q^512+867452*p^66*q^514+10330583*p^64*q^516+134599342*p^62*q^518+1434676423 *p^60*q^520+12356005786*p^58*q^522+86357408484*p^56*q^524+402605971104*p^54*q^ 526+808627509089*p^52*q^528+473783067386*p^50*q^530+99081071533*p^48*q^532+ 12258954592*p^46*q^534+1108522844*p^44*q^536+89728452*p^42*q^538+3997006*p^40*q ^540+553880*p^38*q^542+1424*p^36*q^544+4*p^34*q^546+100*p^71*q^508+1944*p^69*q^ 510+167024*p^67*q^512+3085684*p^65*q^514+36488942*p^63*q^516+423527117*p^61*q^ 518+4024988750*p^59*q^520+31800534086*p^57*q^522+190781605908*p^55*q^524+ 636673042553*p^53*q^526+729469107272*p^51*q^528+246383904884*p^49*q^530+ 38433895612*p^47*q^532+4055455399*p^45*q^534+323219660*p^43*q^536+25063414*p^41 *q^538+1769882*p^39*q^540+65832*p^37*q^542+44*p^35*q^544+312*p^33*q^546+460*p^ 70*q^508+24044*p^68*q^510+681466*p^66*q^512+8862768*p^64*q^514+118425255*p^62*q ^516+1255907076*p^60*q^518+10911788617*p^58*q^520+77178623380*p^56*q^522+ 370394828498*p^54*q^524+788814621012*p^52*q^526+496228691578*p^50*q^528+ 108297691614*p^48*q^530+13744909808*p^46*q^532+1268560572*p^44*q^534+100925478* p^42*q^536+4584664*p^40*q^538+801910*p^38*q^540+4612*p^36*q^542+12*p^32*q^546+6 *p^71*q^506+1130*p^69*q^508+176940*p^67*q^510+2761978*p^65*q^512+31444623*p^63* q^514+365575094*p^61*q^516+3539194294*p^59*q^518+28173976034*p^57*q^520+ 172069665888*p^55*q^522+600314592064*p^53*q^524+737102987849*p^51*q^526+ 264569604938*p^49*q^528+42553151204*p^47*q^530+4567622916*p^45*q^532+369104083* p^43*q^534+29772772*p^41*q^536+1497344*p^39*q^538+105172*p^37*q^540+40*p^35*q^ 542+788*p^70*q^506+13896*p^68*q^508+495502*p^66*q^510+7962422*p^64*q^512+ 102130674*p^62*q^514+1096827715*p^60*q^516+9592906262*p^58*q^518+68825783862*p^ 56*q^520+340061376000*p^54*q^522+767185722936*p^52*q^524+517545736334*p^50*q^ 526+118358008689*p^48*q^528+15353718706*p^46*q^530+1446629590*p^44*q^532+ 111439766*p^42*q^534+6176620*p^40*q^536+869604*p^38*q^538+6314*p^36*q^540+56*p^ 32*q^544+4*p^71*q^504+858*p^69*q^506+134156*p^67*q^508+2408384*p^65*q^510+ 26825042*p^63*q^512+317893594*p^61*q^514+3114362488*p^59*q^516+24987035555*p^57 *q^518+155383094612*p^55*q^520+564064673021*p^53*q^522+741826429638*p^51*q^524+ 282843703996*p^49*q^526+46944684614*p^47*q^528+5146097291*p^45*q^530+419988714* p^43*q^532+34596536*p^41*q^534+1206108*p^39*q^536+179446*p^37*q^538+396*p^35*q^ 540+208*p^70*q^504+11056*p^68*q^506+508065*p^66*q^508+7358152*p^64*q^510+ 89013204*p^62*q^512+958774936*p^60*q^514+8460574747*p^58*q^516+61356136792*p^56 *q^518+311505598458*p^54*q^520+742279135438*p^52*q^522+537843639941*p^50*q^524+ 128863703820*p^48*q^526+17192817896*p^46*q^528+1639548924*p^44*q^530+123825081* p^42*q^532+8200506*p^40*q^534+776592*p^38*q^536+13780*p^36*q^538+2912*p^69*q^ 504+82822*p^67*q^506+1819000*p^65*q^508+22824021*p^63*q^510+276510440*p^61*q^ 512+2727958001*p^59*q^514+22096757530*p^57*q^516+139755347545*p^55*q^518+ 528524081712*p^53*q^520+742655706505*p^51*q^522+302570654264*p^49*q^524+ 51849820216*p^47*q^526+5789140882*p^45*q^528+487573414*p^43*q^530+39866010*p^41 *q^532+1238840*p^39*q^534+291348*p^37*q^536+550*p^35*q^538+4*p^31*q^542+100*p^ 70*q^502+4152*p^68*q^504+477666*p^66*q^506+6793050*p^64*q^508+77036326*p^62*q^ 510+831007444*p^60*q^512+7451500880*p^58*q^514+54639736222*p^56*q^516+ 284681620238*p^54*q^518+716848301528*p^52*q^520+556664609872*p^50*q^522+ 140118259283*p^48*q^524+19122170602*p^46*q^526+1856607782*p^44*q^528+136729044* p^42*q^530+10034950*p^40*q^532+632824*p^38*q^534+21920*p^36*q^536+8*p^34*q^538+ 2*p^73*q^498+2116*p^69*q^502+66734*p^67*q^504+1498918*p^65*q^506+19898102*p^63* q^508+240410682*p^61*q^510+2399354854*p^59*q^512+19544761320*p^57*q^514+ 125685097218*p^55*q^516+493727422048*p^53*q^518+741290672174*p^51*q^520+ 321489357455*p^49*q^522+57180996078*p^47*q^524+6528149210*p^45*q^526+560240264* p^43*q^528+44524427*p^41*q^530+1776224*p^39*q^532+310786*p^37*q^534+1108*p^35*q ^536+12*p^70*q^500+6600*p^68*q^502+364584*p^66*q^504+5941228*p^64*q^506+ 66354906*p^62*q^508+725259802*p^60*q^510+6564076001*p^58*q^512+48658233830*p^56 *q^514+259593700259*p^54*q^516+688413591234*p^52*q^518+574639355700*p^50*q^520+ 151964504158*p^48*q^522+21274597700*p^46*q^524+2093600076*p^44*q^526+155488538* p^42*q^528+12501568*p^40*q^530+366656*p^38*q^532+61326*p^36*q^534+64*p^34*q^536 +1064*p^69*q^500+38238*p^67*q^502+1399870*p^65*q^504+17817484*p^63*q^506+ 209315740*p^61*q^508+2099520799*p^59*q^510+17261129176*p^57*q^512+112786398202* p^55*q^514+459416692566*p^53*q^516+736220890432*p^51*q^518+341752463310*p^49*q^ 520+62873873666*p^47*q^522+7365568208*p^45*q^524+645562080*p^43*q^526+48182074* p^41*q^528+2315158*p^39*q^530+353544*p^37*q^532+1370*p^35*q^534+32*p^72*q^496+ 9652*p^68*q^500+291828*p^66*q^502+4793314*p^64*q^504+56832484*p^62*q^506+ 629523110*p^60*q^508+5768554034*p^58*q^510+43233617224*p^56*q^512+236314894544* p^54*q^514+659193022913*p^52*q^516+590528643084*p^50*q^518+164834748778*p^48*q^ 520+23663004032*p^46*q^522+2356099234*p^44*q^524+178272444*p^42*q^526+15370264* p^40*q^528+355816*p^38*q^530+76982*p^36*q^532+44*p^34*q^534+394*p^69*q^498+ 21356*p^67*q^500+1211012*p^65*q^502+16230434*p^63*q^504+181662211*p^61*q^506+ 1835042764*p^59*q^508+15260756169*p^57*q^510+101190020752*p^55*q^512+ 426982450764*p^53*q^514+728374220950*p^51*q^516+360991932085*p^49*q^518+ 69046224850*p^47*q^520+8251219029*p^45*q^522+735454532*p^43*q^524+51941500*p^41 *q^526+3023920*p^39*q^528+229344*p^37*q^530+7604*p^35*q^532+4*p^33*q^534+4*p^70 *q^496+6932*p^68*q^498+228790*p^66*q^500+4123166*p^64*q^502+49147824*p^62*q^504 +551107928*p^60*q^506+5087002439*p^58*q^508+38401838120*p^56*q^510+214702265009 *p^54*q^512+628755305624*p^52*q^514+603976076658*p^50*q^516+178083233222*p^48*q ^518+26302857965*p^46*q^520+2674137074*p^44*q^522+207754711*p^42*q^524+17593248 *p^40*q^526+429416*p^38*q^528+125760*p^36*q^530+44*p^34*q^532+212*p^71*q^494+48 *p^69*q^496+27568*p^67*q^498+1011120*p^65*q^500+14167514*p^63*q^502+157851916*p ^61*q^504+1600010544*p^59*q^506+13454500904*p^57*q^508+90525215629*p^55*q^510+ 395068809794*p^53*q^512+717816308377*p^51*q^514+381293367506*p^49*q^516+ 75708987934*p^47*q^518+9266360324*p^45*q^520+835544219*p^43*q^522+57169634*p^41 *q^524+4178048*p^39*q^526+140890*p^37*q^528+12070*p^35*q^530+4240*p^68*q^496+ 130694*p^66*q^498+3596572*p^64*q^500+42822898*p^62*q^502+477026914*p^60*q^504+ 4465375970*p^58*q^506+34071108067*p^56*q^508+194526889412*p^54*q^510+ 598146115620*p^52*q^512+616184811024*p^50*q^514+192090600502*p^48*q^516+ 29132222602*p^46*q^518+3023039787*p^44*q^520+242468890*p^42*q^522+19009380*p^40 *q^524+560894*p^38*q^526+124854*p^36*q^528+446*p^34*q^530+56*p^71*q^492+94*p^69 *q^494+28556*p^67*q^496+900392*p^65*q^498+12098932*p^63*q^500+136532882*p^61*q^ 502+1402092968*p^59*q^504+11884347031*p^57*q^506+81053852308*p^55*q^508+ 365002467291*p^53*q^510+704432820770*p^51*q^512+400366953529*p^49*q^514+ 82871856996*p^47*q^516+10375244594*p^45*q^518+938612116*p^43*q^520+63222727*p^ 41*q^522+5482750*p^39*q^524+87050*p^37*q^526+24408*p^35*q^528+752*p^70*q^492+ 1268*p^68*q^494+95966*p^66*q^496+3072458*p^64*q^498+38472458*p^62*q^500+ 416535664*p^60*q^502+3920464814*p^58*q^504+30226981904*p^56*q^506+176132068951* p^54*q^508+565707673964*p^52*q^510+625711027750*p^50*q^512+206659711946*p^48*q^ 514+32301821950*p^46*q^516+3421170948*p^44*q^518+284078400*p^42*q^520+20831238* p^40*q^522+820830*p^38*q^524+85860*p^36*q^526+1378*p^34*q^528+20*p^69*q^492+ 24082*p^67*q^494+668090*p^65*q^496+10454426*p^63*q^498+116841320*p^61*q^500+ 1220160233*p^59*q^502+10474426746*p^57*q^504+72334410027*p^55*q^506+ 336125080982*p^53*q^508+688296687579*p^51*q^510+419916386948*p^49*q^512+ 90598931922*p^47*q^514+11606635502*p^45*q^516+1063810879*p^43*q^518+72981054*p^ 41*q^520+6514608*p^39*q^522+84788*p^37*q^524+43456*p^35*q^526+8*p^33*q^528+716* p^70*q^490+996*p^68*q^492+88406*p^66*q^494+2717418*p^64*q^496+33437100*p^62*q^ 498+363747257*p^60*q^500+3434578542*p^58*q^502+26766620161*p^56*q^504+ 159132433356*p^54*q^506+534690023216*p^52*q^508+632211201768*p^50*q^510+ 222150357293*p^48*q^512+35664762518*p^46*q^514+3865445852*p^44*q^516+324886638* p^42*q^518+21485735*p^40*q^520+1248718*p^38*q^522+47156*p^36*q^524+2104*p^34*q^ 526+1542*p^69*q^490+13164*p^67*q^492+464034*p^65*q^494+9004544*p^63*q^496+ 102586340*p^61*q^498+1061954976*p^59*q^500+9237367476*p^57*q^502+64586237746*p^ 55*q^504+308973084037*p^53*q^506+670274652248*p^51*q^508+437895168439*p^49*q^ 510+98850457630*p^47*q^512+12960418079*p^45*q^514+1202980282*p^43*q^516+ 86161078*p^41*q^518+7620042*p^39*q^520+120526*p^37*q^522+36572*p^35*q^524+104*p ^33*q^526+48*p^70*q^488+492*p^68*q^490+89744*p^66*q^492+2415468*p^64*q^494+ 29062880*p^62*q^496+314655516*p^60*q^498+3018902096*p^58*q^500+23709035906*p^56 *q^502+143524079631*p^54*q^504+502890729776*p^52*q^506+637056082656*p^50*q^508+ 237412021890*p^48*q^510+39432459244*p^46*q^512+4370493380*p^44*q^514+367850546* p^42*q^516+22780784*p^40*q^518+1735278*p^38*q^520+14332*p^36*q^522+9070*p^34*q^ 524+3680*p^69*q^488+7530*p^67*q^490+326634*p^65*q^492+7669016*p^63*q^494+ 89882234*p^61*q^496+930229578*p^59*q^498+8124127742*p^57*q^500+57519413032*p^55 *q^502+282991105126*p^53*q^504+649587733317*p^51*q^506+456006602274*p^49*q^508+ 107697982288*p^47*q^510+14471272490*p^45*q^512+1364696078*p^43*q^514+104502526* p^41*q^516+8268030*p^39*q^518+195844*p^37*q^520+31680*p^35*q^522+44*p^33*q^524+ 48*p^70*q^486+1904*p^68*q^488+72340*p^66*q^490+1897202*p^64*q^492+25361482*p^62 *q^494+271412807*p^60*q^496+2631905176*p^58*q^498+20963497063*p^56*q^500+ 129256495152*p^54*q^502+471580732920*p^52*q^504+639250779466*p^50*q^506+ 253987729524*p^48*q^508+43408388496*p^46*q^510+4925102231*p^44*q^512+417209124* p^42*q^514+24376923*p^40*q^516+2303710*p^38*q^518+15394*p^36*q^520+9704*p^34*q^ 522+4*p^32*q^524+1100*p^69*q^486+5320*p^67*q^488+283231*p^65*q^490+6931094*p^63 *q^492+77945680*p^61*q^494+812090090*p^59*q^496+7162683697*p^57*q^498+ 51287225856*p^55*q^500+259002705591*p^53*q^502+627667622186*p^51*q^504+ 472066272702*p^49*q^506+117096375878*p^47*q^508+16086911534*p^45*q^510+ 1545671264*p^43*q^512+120977262*p^41*q^514+8660218*p^39*q^516+315166*p^37*q^518 +8284*p^35*q^520+964*p^33*q^522+9796*p^68*q^486+46276*p^66*q^488+1427906*p^64*q ^490+21789442*p^62*q^492+238235932*p^60*q^494+2304210659*p^58*q^496+18550399648 *p^56*q^498+116189417506*p^54*q^500+440897007716*p^52*q^502+637596590562*p^50*q ^504+270259563382*p^48*q^506+47843588183*p^46*q^508+5557399360*p^44*q^510+ 471583971*p^42*q^512+29384534*p^40*q^514+2780422*p^38*q^516+20644*p^36*q^518+ 12966*p^34*q^520+680*p^69*q^484+2908*p^67*q^486+272802*p^65*q^488+6011268*p^63* q^490+68276328*p^61*q^492+703463013*p^59*q^494+6294048744*p^57*q^496+ 45556121135*p^55*q^498+236301182940*p^53*q^500+603627403543*p^51*q^502+ 488082955288*p^49*q^504+127126669672*p^47*q^506+17928951520*p^45*q^508+ 1760891149*p^43*q^510+140976364*p^41*q^512+8433505*p^39*q^514+526754*p^37*q^516 +1856*p^35*q^518+1772*p^33*q^520+p^72*q^480+7844*p^68*q^484+34652*p^66*q^486+ 1012480*p^64*q^488+18887998*p^62*q^490+206008647*p^60*q^492+2015649796*p^58*q^ 494+16363375879*p^56*q^496+104320565362*p^54*q^498+411026675919*p^52*q^500+ 634921053466*p^50*q^502+286976154401*p^48*q^504+52517241664*p^46*q^506+ 6224922744*p^44*q^508+531561578*p^42*q^510+35240498*p^40*q^512+3275362*p^38*q^ 514+36504*p^36*q^516+6304*p^34*q^518+30*p^32*q^520+104*p^69*q^482+15008*p^67*q^ 484+207296*p^65*q^486+5125450*p^63*q^488+59239644*p^61*q^490+614750598*p^59*q^ 492+5527545279*p^57*q^494+40563173144*p^55*q^496+215215444273*p^53*q^498+ 578978286924*p^51*q^500+501400098876*p^49*q^502+137796955388*p^47*q^504+ 19892006254*p^45*q^506+2005708802*p^43*q^508+160393005*p^41*q^510+8393464*p^39* q^512+697304*p^37*q^514+1624*p^35*q^516+2838*p^33*q^518+4764*p^68*q^482+19116*p ^66*q^484+919754*p^64*q^486+16620922*p^62*q^488+180499054*p^60*q^490+1763528586 *p^58*q^492+14465097168*p^56*q^494+93544938880*p^54*q^496+381739393570*p^52*q^ 498+628517782001*p^50*q^500+303746251912*p^48*q^502+57663402276*p^46*q^504+ 6994249714*p^44*q^506+598223098*p^42*q^508+43180114*p^40*q^510+3545686*p^38*q^ 512+82432*p^36*q^514+524*p^34*q^516+236*p^32*q^518+16*p^71*q^478+26162*p^67*q^ 482+163208*p^65*q^484+3848115*p^63*q^486+51582336*p^61*q^488+532791719*p^59*q^ 490+4845117554*p^57*q^492+35955826102*p^55*q^494+195519418938*p^53*q^496+ 552472468009*p^51*q^498+514259924346*p^49*q^500+148903332716*p^47*q^502+ 22120750442*p^45*q^504+2279510519*p^43*q^506+184455470*p^41*q^508+9399434*p^39* q^510+935768*p^37*q^512+2708*p^35*q^514+2956*p^33*q^516+2168*p^68*q^480+20170*p ^66*q^482+749360*p^64*q^484+14736750*p^62*q^486+155939837*p^60*q^488+1538053838 *p^58*q^490+12760906389*p^56*q^492+83750736968*p^54*q^494+354058967668*p^52*q^ 496+619934232466*p^50*q^498+320826626965*p^48*q^500+63175715266*p^46*q^502+ 7816239419*p^44*q^504+682536638*p^42*q^506+50566063*p^40*q^508+3208690*p^38*q^ 510+131736*p^36*q^512+116*p^34*q^514+280*p^32*q^516+40*p^69*q^478+21260*p^67*q^ 480+120182*p^65*q^482+3120358*p^63*q^484+44775690*p^61*q^486+466060150*p^59*q^ 488+4256389159*p^57*q^490+31908379838*p^55*q^492+177404115317*p^53*q^494+ 526115527388*p^51*q^496+524254384955*p^49*q^498+160668105860*p^47*q^500+ 24426179519*p^45*q^502+2585892896*p^43*q^504+204637010*p^41*q^506+11302246*p^39 *q^508+1282288*p^37*q^510+7492*p^35*q^512+334*p^33*q^514+16*p^31*q^516+106*p^70 *q^476+144*p^68*q^478+49044*p^66*q^480+606402*p^64*q^482+12536728*p^62*q^484+ 136358978*p^60*q^486+1342308342*p^58*q^488+11246434192*p^56*q^490+74949462521*p ^54*q^492+327093351632*p^52*q^494+609114617013*p^50*q^496+336983512720*p^48*q^ 498+69230641720*p^46*q^500+8770818168*p^44*q^502+779230198*p^42*q^504+60403988* p^40*q^506+3114514*p^38*q^508+175840*p^36*q^510+124*p^34*q^512+808*p^32*q^514+ 16602*p^67*q^478+74374*p^65*q^480+2627575*p^63*q^482+39026998*p^61*q^484+ 405271864*p^59*q^486+3726467568*p^57*q^488+28285171177*p^55*q^490+160413747846* p^53*q^492+498452746738*p^51*q^494+533295019970*p^49*q^496+172876894194*p^47*q^ 498+27046722126*p^45*q^500+2921902041*p^43*q^502+230178960*p^41*q^504+14022791* p^39*q^506+1299978*p^37*q^508+18932*p^35*q^510+4*p^33*q^512+6*p^31*q^514+28*p^ 70*q^474+648*p^68*q^476+60016*p^66*q^478+517226*p^64*q^480+10045644*p^62*q^482+ 118723359*p^60*q^484+1168167136*p^58*q^486+9897499516*p^56*q^488+66880133288*p^ 54*q^490+301523542286*p^52*q^492+596220348758*p^50*q^494+353856440768*p^48*q^ 496+75551130284*p^46*q^498+9802199929*p^44*q^500+894150326*p^42*q^502+70194442* p^40*q^504+2995498*p^38*q^506+328938*p^36*q^508+320*p^34*q^510+132*p^32*q^512+ 376*p^69*q^474+3996*p^67*q^476+81014*p^65*q^478+2037696*p^63*q^480+34813844*p^ 61*q^482+351358090*p^59*q^484+3266698661*p^57*q^486+25063903676*p^55*q^488+ 145193113352*p^53*q^490+471077582884*p^51*q^492+539391738232*p^49*q^494+ 185688798598*p^47*q^496+29835243088*p^45*q^498+3282977514*p^43*q^500+258089346* p^41*q^502+16898258*p^39*q^504+1301294*p^37*q^506+21142*p^35*q^508+122*p^31*q^ 512+68*p^68*q^474+67300*p^66*q^476+380510*p^64*q^478+8689042*p^62*q^480+ 102738692*p^60*q^482+1023930039*p^58*q^484+8722633356*p^56*q^486+59722603343*p^ 54*q^488+277182466428*p^52*q^490+580507491850*p^50*q^492+369257731684*p^48*q^ 494+82529166135*p^46*q^496+10925034762*p^44*q^498+1028658753*p^42*q^500+ 78825506*p^40*q^502+3493688*p^38*q^504+415696*p^36*q^506+1724*p^34*q^508+358*p^ 69*q^472+4724*p^67*q^474+113656*p^65*q^476+1759566*p^63*q^478+29226116*p^61*q^ 480+307459654*p^59*q^482+2850458240*p^57*q^484+22137165067*p^55*q^486+ 130793266540*p^53*q^488+443615096553*p^51*q^490+543692162270*p^49*q^492+ 198895494336*p^47*q^494+32973760632*p^45*q^496+3723585914*p^43*q^498+292049528* p^41*q^500+21662556*p^39*q^502+1191264*p^37*q^504+53204*p^35*q^506+4*p^33*q^508 +26*p^31*q^510+771*p^68*q^472+34912*p^66*q^474+269874*p^64*q^476+6848166*p^62*q ^478+90555236*p^60*q^480+886752338*p^58*q^482+7660749014*p^56*q^484+53190123966 *p^54*q^486+254383788834*p^52*q^488+563840128806*p^50*q^490+384805232039*p^48*q ^492+89767878578*p^46*q^494+12175449556*p^44*q^496+1165227770*p^42*q^498+ 88467328*p^40*q^500+3954220*p^38*q^502+463134*p^36*q^504+1960*p^34*q^506+8*p^30 *q^510+24*p^69*q^470+1796*p^67*q^472+165056*p^65*q^474+1482272*p^63*q^476+ 25356186*p^61*q^478+266517720*p^59*q^480+2502518235*p^57*q^482+19608109844*p^55 *q^484+117877736707*p^53*q^486+416526748760*p^51*q^488+545921423315*p^49*q^490+ 212228067562*p^47*q^492+36253965197*p^45*q^494+4172927346*p^43*q^496+337870742* p^41*q^498+25282990*p^39*q^500+1051655*p^37*q^502+95152*p^35*q^504+68*p^33*q^ 506+1840*p^68*q^470+23928*p^66*q^472+233826*p^64*q^474+5639323*p^62*q^476+ 78735826*p^60*q^478+776747350*p^58*q^480+6729423950*p^56*q^482+47357621379*p^54 *q^484+232505677068*p^52*q^486+544980474542*p^50*q^488+398689103946*p^48*q^490+ 97813026301*p^46*q^492+13551190598*p^44*q^494+1334926832*p^42*q^496+97384504*p^ 40*q^498+5413866*p^38*q^500+507504*p^36*q^502+4676*p^34*q^504+2*p^30*q^508+24*p ^69*q^468+1132*p^67*q^470+149596*p^65*q^472+1147026*p^63*q^474+21370948*p^61*q^ 476+231881219*p^59*q^478+2179951898*p^57*q^480+17310325137*p^55*q^482+ 105961517746*p^53*q^484+389440060339*p^51*q^486+545891593724*p^49*q^488+ 226332092194*p^47*q^490+39880748986*p^45*q^492+4698403842*p^43*q^494+386525868* p^41*q^496+29941229*p^39*q^498+952282*p^37*q^500+120998*p^35*q^502+156*p^33*q^ 504+580*p^68*q^468+17608*p^66*q^470+296460*p^64*q^472+4780682*p^62*q^474+ 68051513*p^60*q^476+674915274*p^58*q^478+5908353336*p^56*q^480+42075290950*p^54 *q^482+212393519413*p^52*q^484+524622219648*p^50*q^486+412448031846*p^48*q^488+ 105951567414*p^46*q^490+15070629263*p^44*q^492+1514802262*p^42*q^494+109672387* p^40*q^496+6889154*p^38*q^498+454900*p^36*q^500+14272*p^34*q^502+5042*p^67*q^ 468+100108*p^65*q^470+843162*p^63*q^472+17607921*p^61*q^474+203263214*p^59*q^ 476+1904451778*p^57*q^478+15280690382*p^55*q^480+95221636846*p^53*q^482+ 363569476434*p^51*q^484+543076165560*p^49*q^486+240486372402*p^47*q^488+ 43793958424*p^45*q^490+5262962648*p^43*q^492+445815079*p^41*q^494+33274694*p^39 *q^496+1070588*p^37*q^498+161540*p^35*q^500+176*p^33*q^502+340*p^68*q^466+4838* p^66*q^468+383282*p^64*q^470+4026166*p^62*q^472+59356238*p^60*q^474+587663224*p ^58*q^476+5189343770*p^56*q^478+37409785346*p^54*q^480+193427021948*p^52*q^482+ 503419327138*p^50*q^484+423850331866*p^48*q^486+114869017257*p^46*q^488+ 16693720740*p^44*q^490+1717825865*p^42*q^492+122974782*p^40*q^494+8862038*p^38* q^496+378658*p^36*q^498+21836*p^34*q^500+4*p^32*q^502+4316*p^67*q^466+92728*p^ 65*q^468+679216*p^63*q^470+14687538*p^61*q^472+176502440*p^59*q^474+1664320908* p^57*q^476+13450914013*p^55*q^478+85272017542*p^53*q^480+337894171091*p^51*q^ 482+538692554892*p^49*q^484+254575233161*p^47*q^486+48165995690*p^45*q^488+ 5917776077*p^43*q^490+515849212*p^41*q^492+37686953*p^39*q^494+1503112*p^37*q^ 496+168356*p^35*q^498+1268*p^33*q^500+52*p^68*q^464+10060*p^66*q^466+320586*p^ 64*q^468+3240220*p^62*q^470+50345050*p^60*q^472+511754348*p^58*q^474+4533903706 *p^56*q^476+33193807102*p^54*q^478+175763889117*p^52*q^480+481287275944*p^50*q^ 482+435189035607*p^48*q^484+124046114438*p^46*q^486+18482413163*p^44*q^488+ 1940853112*p^42*q^490+140237306*p^40*q^492+10482058*p^38*q^494+241846*p^36*q^ 496+38788*p^34*q^498+4*p^32*q^500+2424*p^67*q^464+40964*p^65*q^466+782048*p^63* q^468+12348588*p^61*q^470+154177956*p^59*q^472+1451925680*p^57*q^474+ 11881934944*p^55*q^476+76365703552*p^53*q^478+313520801730*p^51*q^480+ 531840987326*p^49*q^482+268897765064*p^47*q^484+52616966518*p^45*q^486+ 6622645558*p^43*q^488+591775820*p^41*q^490+40951300*p^39*q^492+2049722*p^37*q^ 494+178016*p^35*q^496+2240*p^33*q^498+15397*p^66*q^464+318840*p^64*q^466+ 2419502*p^62*q^468+43074536*p^60*q^470+446772950*p^58*q^472+3982312632*p^56*q^ 474+29416188163*p^54*q^476+159554286144*p^52*q^478+457897078152*p^50*q^480+ 443903543772*p^48*q^482+133970075594*p^46*q^484+20452903752*p^44*q^486+ 2190138759*p^42*q^488+162738268*p^40*q^490+12418245*p^38*q^492+270736*p^36*q^ 494+42758*p^34*q^496+52*p^32*q^498+1088*p^67*q^462+31710*p^65*q^464+785812*p^63 *q^466+10536816*p^61*q^468+133134057*p^59*q^470+1264521346*p^57*q^472+ 10436971828*p^55*q^474+68260898386*p^53*q^476+289597198863*p^51*q^478+ 522793548802*p^49*q^480+283049447861*p^47*q^482+57671974966*p^45*q^484+ 7409066322*p^43*q^486+681984020*p^41*q^488+45102583*p^39*q^490+2835108*p^37*q^ 492+120848*p^35*q^494+7084*p^33*q^496+20*p^68*q^460+11888*p^66*q^462+220461*p^ 64*q^464+2023554*p^62*q^466+35768688*p^60*q^468+389084984*p^58*q^470+3476393697 *p^56*q^472+26040450590*p^54*q^474+144411190319*p^52*q^476+434966687496*p^50*q^ 478+451806081932*p^48*q^480+144096298146*p^46*q^482+22598021300*p^44*q^484+ 2474430304*p^42*q^486+187390361*p^40*q^488+14157390*p^38*q^490+339896*p^36*q^ 492+55484*p^34*q^494+96*p^32*q^496+72*p^67*q^460+36712*p^65*q^462+809110*p^63*q ^464+8529380*p^61*q^466+116347228*p^59*q^468+1104584487*p^57*q^470+9191282278*p ^55*q^472+61003768489*p^53*q^474+267325469738*p^51*q^476+511851217886*p^49*q^ 478+296749953776*p^47*q^480+62868964977*p^45*q^482+8260386900*p^43*q^484+ 773138686*p^41*q^486+50470410*p^39*q^488+3435462*p^37*q^490+60692*p^35*q^492+ 8420*p^33*q^494+8516*p^66*q^460+147554*p^64*q^462+1904456*p^62*q^464+30821308*p ^60*q^466+338756651*p^58*q^468+3043320642*p^56*q^470+23064127840*p^54*q^472+ 130429097426*p^52*q^474+411034802773*p^50*q^476+457407009666*p^48*q^478+ 154877891360*p^46*q^480+24930682396*p^44*q^482+2792686077*p^42*q^484+221728942* p^40*q^486+15388418*p^38*q^488+605744*p^36*q^490+62408*p^34*q^492+760*p^32*q^ 494+324*p^67*q^458+40544*p^65*q^460+746666*p^63*q^462+6675128*p^61*q^464+ 98490044*p^59*q^466+962397942*p^57*q^468+8065108111*p^55*q^470+54328606338*p^53 *q^472+245676550628*p^51*q^474+499296574250*p^49*q^476+310243610539*p^47*q^478+ 68674750646*p^45*q^480+9208896182*p^43*q^482+879450014*p^41*q^484+56512986*p^39 *q^486+4425164*p^37*q^488+46454*p^35*q^490+9984*p^33*q^492+2076*p^66*q^458+ 112956*p^64*q^460+1813618*p^62*q^462+26167012*p^60*q^464+295422408*p^58*q^466+ 2658439916*p^56*q^468+20366403260*p^54*q^470+117750577806*p^52*q^472+ 387287620668*p^50*q^474+461733854187*p^48*q^476+165831968504*p^46*q^478+ 27472189420*p^44*q^480+3150886232*p^42*q^482+256814959*p^40*q^484+17012878*p^38 *q^486+771457*p^36*q^488+30520*p^34*q^490+1584*p^32*q^492+56*p^67*q^456+37650*p ^65*q^458+567876*p^63*q^460+5641134*p^61*q^462+84327042*p^59*q^464+839604605*p^ 57*q^466+7084907786*p^55*q^468+48429213431*p^53*q^470+225568874168*p^51*q^472+ 484718895250*p^49*q^474+323200697004*p^47*q^476+74634084352*p^45*q^478+ 10244009174*p^43*q^480+994736777*p^41*q^482+65484960*p^39*q^484+4975415*p^37*q^ 486+87840*p^35*q^488+19160*p^33*q^490+28*p^31*q^492+2360*p^66*q^456+107124*p^64 *q^458+1863408*p^62*q^460+21398286*p^60*q^462+257392579*p^58*q^464+2324827380*p ^56*q^466+18000202662*p^54*q^468+106016343686*p^52*q^470+363797053303*p^50*q^ 472+463367787710*p^48*q^474+177315975258*p^46*q^476+30218934488*p^44*q^478+ 3549103070*p^42*q^480+297656998*p^40*q^482+18156284*p^38*q^484+1106260*p^36*q^ 486+11726*p^34*q^488+976*p^32*q^490+19200*p^65*q^456+456770*p^63*q^458+4753230* p^61*q^460+72920269*p^59*q^462+730048116*p^57*q^464+6209818721*p^55*q^466+ 43049107004*p^53*q^468+206241408519*p^51*q^470+469159111442*p^49*q^472+ 335127817217*p^47*q^474+81290309774*p^45*q^476+11376608196*p^43*q^478+ 1130518834*p^41*q^480+77591667*p^39*q^482+5811542*p^37*q^484+142245*p^35*q^486+ 15640*p^33*q^488+236*p^31*q^490+1192*p^66*q^454+117688*p^64*q^456+1641944*p^62* q^458+17595656*p^60*q^460+220152480*p^58*q^462+2028178107*p^56*q^464+ 15862965294*p^54*q^466+95256494891*p^52*q^468+340641358858*p^50*q^470+ 463990959829*p^48*q^472+188905117888*p^46*q^474+33230203407*p^44*q^476+ 3991935018*p^42*q^478+340235736*p^40*q^480+19636546*p^38*q^482+1401560*p^36*q^ 484+7572*p^34*q^486+3212*p^32*q^488+12220*p^65*q^454+315202*p^63*q^456+4419390* p^61*q^458+61886884*p^59*q^460+639517767*p^57*q^462+5445503616*p^55*q^464+ 38288973682*p^53*q^466+188461554776*p^51*q^468+452057176278*p^49*q^470+ 346796081762*p^47*q^472+87959740378*p^45*q^474+12602751774*p^43*q^476+ 1280397414*p^41*q^478+91903944*p^39*q^480+6241034*p^37*q^482+196886*p^35*q^484+ 6014*p^33*q^486+36*p^31*q^488+132*p^66*q^452+92596*p^64*q^454+1502078*p^62*q^ 456+14677904*p^60*q^458+190930703*p^58*q^460+1773566934*p^56*q^462+13998206001* p^54*q^464+85557811284*p^52*q^466+317646180503*p^50*q^468+461799489958*p^48*q^ 470+200777390880*p^46*q^472+36477454486*p^44*q^474+4483253537*p^42*q^476+ 388319370*p^40*q^478+21925700*p^38*q^480+1727478*p^36*q^482+20668*p^34*q^484+ 4944*p^32*q^486+16*p^30*q^488+16*p^67*q^450+10488*p^65*q^452+323572*p^63*q^454+ 4055076*p^61*q^456+51799391*p^59*q^458+555635158*p^57*q^460+4761576549*p^55*q^ 462+33936354962*p^53*q^464+171552930570*p^51*q^466+433740505780*p^49*q^468+ 357063499473*p^47*q^470+95587083440*p^45*q^472+13954596610*p^43*q^474+ 1455997206*p^41*q^476+109179379*p^39*q^478+6872938*p^37*q^480+329723*p^35*q^482 +1184*p^33*q^484+288*p^31*q^486+76*p^66*q^450+56228*p^64*q^452+1092634*p^62*q^ 454+12174918*p^60*q^456+164479122*p^58*q^458+1540746773*p^56*q^460+12307124114* p^54*q^462+76664726664*p^52*q^464+295747817284*p^50*q^466+458346875707*p^48*q^ 468+212661440902*p^46*q^470+39951292324*p^44*q^472+5018069764*p^42*q^474+ 439947748*p^40*q^476+25571212*p^38*q^478+1946840*p^36*q^480+22450*p^34*q^482+ 2588*p^32*q^484+2988*p^65*q^450+306480*p^63*q^452+3886134*p^61*q^454+43803320*p ^59*q^456+482094734*p^57*q^458+4183602226*p^55*q^460+30129812881*p^53*q^462+ 156085850834*p^51*q^464+415027884738*p^49*q^466+366076024376*p^47*q^468+ 103104846378*p^45*q^470+15459894732*p^43*q^472+1651104400*p^41*q^474+126321958* p^39*q^476+6836801*p^37*q^478+429372*p^35*q^480+1920*p^33*q^482+880*p^31*q^484+ 216*p^66*q^448+52552*p^64*q^450+929400*p^62*q^452+10575376*p^60*q^454+141333838 *p^58*q^456+1350829814*p^56*q^458+10820494419*p^54*q^460+68545144316*p^52*q^462 +274207919729*p^50*q^464+452544738314*p^48*q^466+224693394974*p^46*q^468+ 43728969534*p^44*q^470+5597227750*p^42*q^472+502836374*p^40*q^474+31215157*p^38 *q^476+2357450*p^36*q^478+56878*p^34*q^480+700*p^32*q^482+12*p^30*q^484+1462*p^ 65*q^448+220720*p^63*q^450+3348766*p^61*q^452+36319498*p^59*q^454+416645874*p^ 57*q^456+3646751883*p^55*q^458+26669901500*p^53*q^460+141461773244*p^51*q^462+ 395397788714*p^49*q^464+374228075078*p^47*q^466+111413747358*p^45*q^468+ 17066218794*p^43*q^470+1881015416*p^41*q^472+145751027*p^39*q^474+7137274*p^37* q^476+521962*p^35*q^478+1676*p^33*q^480+708*p^31*q^482+24*p^66*q^446+28686*p^64 *q^448+875570*p^62*q^450+9491432*p^60*q^452+120225418*p^58*q^454+1177966586*p^ 56*q^456+9514347968*p^54*q^458+61263837887*p^52*q^460+253541820726*p^50*q^462+ 445545638887*p^48*q^464+236502106912*p^46*q^466+47802006019*p^44*q^468+ 6237449394*p^42*q^470+568605710*p^40*q^472+37644846*p^38*q^474+2542869*p^36*q^ 476+86742*p^34*q^478+80*p^32*q^480+84*p^30*q^482+1360*p^65*q^446+187550*p^63*q^ 448+2700140*p^61*q^450+30342658*p^59*q^452+361581348*p^57*q^454+3188537126*p^55 *q^456+23586477482*p^53*q^458+128180434342*p^51*q^460+375242354802*p^49*q^462+ 380843101728*p^47*q^464+119798072169*p^45*q^466+18844629500*p^43*q^468+ 2125658496*p^41*q^470+167365296*p^39*q^472+8159139*p^37*q^474+622630*p^35*q^476 +5732*p^33*q^478+268*p^31*q^480+4*p^66*q^444+14336*p^64*q^446+727826*p^62*q^448 +8807196*p^60*q^450+102895976*p^58*q^452+1024681778*p^56*q^454+8369014074*p^54* q^456+54715193576*p^52*q^458+233932576550*p^50*q^460+435906770342*p^48*q^462+ 248262162102*p^46*q^464+52149979444*p^44*q^466+6942690536*p^42*q^468+651007332* p^40*q^470+44442170*p^38*q^472+2377034*p^36*q^474+124848*p^34*q^476+92*p^32*q^ 478+112*p^30*q^480+708*p^65*q^444+152104*p^63*q^446+2430862*p^61*q^448+25565036 *p^59*q^450+310882788*p^57*q^452+2787803650*p^55*q^454+20812487972*p^53*q^456+ 115657164889*p^51*q^458+354974851762*p^49*q^460+385733697134*p^47*q^462+ 128926879290*p^45*q^464+20761844333*p^43*q^466+2400411020*p^41*q^468+191426436* p^39*q^470+10036982*p^37*q^472+850086*p^35*q^474+13282*p^33*q^476+4*p^29*q^480+ 18*p^66*q^442+8378*p^64*q^444+586516*p^62*q^446+7383086*p^60*q^448+86491208*p^ 58*q^450+890271617*p^56*q^452+7322089056*p^54*q^454+48726721278*p^52*q^456+ 215263352202*p^50*q^458+425866827418*p^48*q^460+259413637124*p^46*q^462+ 56929439031*p^44*q^464+7713633262*p^42*q^466+746877254*p^40*q^468+52010840*p^38 *q^470+2377502*p^36*q^472+134262*p^34*q^474+210*p^32*q^476+52*p^30*q^478+140*p^ 65*q^442+90068*p^63*q^444+2123468*p^61*q^446+22626046*p^59*q^448+268889726*p^57 *q^450+2438080124*p^55*q^452+18403197202*p^53*q^454+104390214908*p^51*q^456+ 334696525545*p^49*q^458+389369153974*p^47*q^460+137860509694*p^45*q^462+ 22813544762*p^43*q^464+2694782922*p^41*q^466+214520016*p^39*q^468+12200054*p^37 *q^470+860096*p^35*q^472+22520*p^33*q^474+8*p^29*q^478+6224*p^64*q^442+534284*p ^62*q^444+6528734*p^60*q^446+72565432*p^58*q^448+773588730*p^56*q^450+ 6427823217*p^54*q^452+43354044820*p^52*q^454+197398079902*p^50*q^456+ 413498271494*p^48*q^458+270509184685*p^46*q^460+61893115118*p^44*q^462+ 8601134569*p^42*q^464+857127248*p^40*q^466+62079362*p^38*q^468+2503730*p^36*q^ 470+204028*p^34*q^472+1376*p^32*q^474+310*p^65*q^440+56828*p^63*q^442+1775972*p ^61*q^444+19682172*p^59*q^446+230682246*p^57*q^448+2127860585*p^55*q^450+ 16203131872*p^53*q^452+93910818456*p^51*q^454+314171729524*p^49*q^456+ 391303019467*p^47*q^458+147590716306*p^45*q^460+25092759782*p^43*q^462+ 3014521660*p^41*q^464+246512682*p^39*q^466+14450468*p^37*q^468+878857*p^35*q^ 470+32112*p^33*q^472+4*p^29*q^476+12*p^66*q^438+2460*p^64*q^440+396456*p^62*q^ 442+5662516*p^60*q^444+61087250*p^58*q^446+668079117*p^56*q^448+5618869556*p^54 *q^450+38528714713*p^52*q^452+180681551368*p^50*q^454+400450025904*p^48*q^456+ 280788395722*p^46*q^458+67369065457*p^44*q^460+9504983528*p^42*q^462+982576818* p^40*q^464+70254860*p^38*q^466+3110266*p^36*q^468+245546*p^34*q^470+2260*p^32*q ^472+16*p^65*q^438+34972*p^63*q^440+1538100*p^61*q^442+17148344*p^59*q^444+ 197531340*p^57*q^446+1856979118*p^55*q^448+14301833418*p^53*q^450+84453518142*p ^51*q^452+294473053685*p^49*q^454+391353734876*p^47*q^456+157099775805*p^45*q^ 458+27516485562*p^43*q^460+3380672582*p^41*q^462+280101684*p^39*q^464+17869062* p^37*q^466+736950*p^35*q^468+35327*p^33*q^470+68*p^31*q^472+2668*p^64*q^438+ 290102*p^62*q^440+5018428*p^60*q^442+52886339*p^58*q^444+579620068*p^56*q^446+ 4930155061*p^54*q^448+34181845388*p^52*q^450+164944236448*p^50*q^452+ 385652557916*p^48*q^454+290360845923*p^46*q^456+73037238566*p^44*q^458+ 10551908207*p^42*q^460+1116872854*p^40*q^462+80408388*p^38*q^464+3632832*p^36*q ^466+310227*p^34*q^468+7132*p^32*q^470+164*p^65*q^436+22340*p^63*q^438+1325446* p^61*q^440+14682758*p^59*q^442+166424612*p^57*q^444+1613427165*p^55*q^446+ 12550639106*p^53*q^448+75688546229*p^51*q^450+274701472322*p^49*q^452+ 390272189767*p^47*q^454+167202364274*p^45*q^456+30196333725*p^43*q^458+ 3782545440*p^41*q^460+327363522*p^39*q^462+21411458*p^37*q^464+799729*p^35*q^ 466+48124*p^33*q^468+84*p^31*q^470+808*p^64*q^436+179864*p^62*q^438+4245100*p^ 60*q^440+45531782*p^58*q^442+501176359*p^56*q^444+4310568330*p^54*q^446+ 30318179750*p^52*q^448+150222277066*p^50*q^450+370670938103*p^48*q^452+ 299058445698*p^46*q^454+79177083629*p^44*q^456+11629919294*p^42*q^458+ 1261880102*p^40*q^460+89702096*p^38*q^462+4506301*p^36*q^464+282060*p^34*q^466+ 6247*p^32*q^468+16*p^65*q^434+17002*p^63*q^436+1064578*p^61*q^438+12959804*p^59 *q^440+141688034*p^57*q^442+1404646190*p^55*q^444+11040546017*p^53*q^446+ 67847547516*p^51*q^448+255585864594*p^49*q^450+387241028242*p^47*q^452+ 177038432628*p^45*q^454+33067082294*p^43*q^456+4226657373*p^41*q^458+378764058* p^39*q^460+25374238*p^37*q^462+869810*p^35*q^464+75403*p^33*q^466+868*p^31*q^ 468+1004*p^64*q^434+125020*p^62*q^436+3761086*p^60*q^438+39088331*p^58*q^440+ 432313572*p^56*q^442+3771197351*p^54*q^444+26851048946*p^52*q^446+136532476131* p^50*q^448+354272101114*p^48*q^450+306859028190*p^46*q^452+85514151158*p^44*q^ 454+12865189392*p^42*q^456+1425687786*p^40*q^458+101878460*p^38*q^460+5641938*p ^36*q^462+239776*p^34*q^464+6724*p^32*q^466+10056*p^63*q^434+795406*p^61*q^436+ 11321770*p^59*q^438+121380866*p^57*q^440+1216592779*p^55*q^442+9697709484*p^53* q^444+60580151601*p^51*q^446+237101141112*p^49*q^448+382334444113*p^47*q^450+ 187343976626*p^45*q^452+36189512088*p^43*q^454+4715759984*p^41*q^456+439475576* p^39*q^458+29266432*p^37*q^460+1032406*p^35*q^462+100280*p^33*q^464+1509*p^31*q ^466+528*p^64*q^432+95546*p^62*q^434+3180998*p^60*q^436+33300128*p^58*q^438+ 367823340*p^56*q^440+3292420910*p^54*q^442+23706962074*p^52*q^444+123806828964* p^50*q^446+337907330941*p^48*q^448+313663090428*p^46*q^450+92358657461*p^44*q^ 452+14162123784*p^42*q^454+1609819269*p^40*q^456+117975070*p^38*q^458+6932954*p ^36*q^460+234000*p^34*q^462+10320*p^32*q^464+32*p^30*q^466+4950*p^63*q^432+ 537080*p^61*q^434+9866836*p^59*q^436+104135870*p^57*q^438+1060642224*p^55*q^440 +8511252460*p^53*q^442+54162198578*p^51*q^444+219375985135*p^49*q^446+ 376580415306*p^47*q^448+196851507841*p^45*q^450+39548343058*p^43*q^452+ 5233085292*p^41*q^454+501793216*p^39*q^456+32072780*p^37*q^458+1359238*p^35*q^ 460+77800*p^33*q^462+624*p^31*q^464+28*p^64*q^430+67006*p^62*q^432+2724228*p^60 *q^434+29161718*p^58*q^436+317139836*p^56*q^438+2870948535*p^54*q^440+ 20974632446*p^52*q^442+111983293870*p^50*q^444+320522510410*p^48*q^446+ 319131503338*p^46*q^448+99385352568*p^44*q^450+15617073897*p^42*q^452+ 1816657904*p^40*q^454+138000618*p^38*q^456+8797620*p^36*q^458+211392*p^34*q^460 +25518*p^32*q^462+268*p^30*q^464+5528*p^63*q^430+434306*p^61*q^432+8594916*p^59 *q^434+88428700*p^57*q^436+912504881*p^55*q^438+7458494540*p^53*q^440+ 48199393019*p^51*q^442+202127336462*p^49*q^444+368904866955*p^47*q^446+ 207092671466*p^45*q^448+43148481375*p^43*q^450+5835572660*p^41*q^452+575863571* p^39*q^454+36669352*p^37*q^456+1600280*p^35*q^458+81046*p^33*q^460+686*p^31*q^ 462+24*p^64*q^428+32510*p^62*q^430+1981202*p^60*q^432+25097824*p^58*q^434+ 270383267*p^56*q^436+2502053184*p^54*q^438+18479580751*p^52*q^440+101179485412* p^50*q^442+303421115654*p^48*q^444+323552625808*p^46*q^446+106883694174*p^44*q^ 448+17155488128*p^42*q^450+2028521318*p^40*q^452+161783110*p^38*q^454+9931368*p ^36*q^456+308548*p^34*q^458+21434*p^32*q^460+28*p^30*q^462+8*p^65*q^426+1040*p^ 63*q^428+325610*p^61*q^430+7634378*p^59*q^432+76255156*p^57*q^434+790433978*p^ 55*q^436+6543451201*p^53*q^438+42972501328*p^51*q^440+186085259580*p^49*q^442+ 359846228348*p^47*q^444+216227508984*p^45*q^446+47038853570*p^43*q^448+ 6457077476*p^41*q^450+659081574*p^39*q^452+40863342*p^37*q^454+2195664*p^35*q^ 456+46494*p^33*q^458+3952*p^31*q^460+20*p^29*q^462+33352*p^62*q^428+1576078*p^ 60*q^430+21977062*p^58*q^432+231815780*p^56*q^434+2179018188*p^54*q^436+ 16283132160*p^52*q^438+91147899753*p^50*q^440+285905253634*p^48*q^442+ 326397485661*p^46*q^444+114471832172*p^44*q^446+18896816991*p^42*q^448+ 2283896934*p^40*q^450+187541662*p^38*q^452+11697306*p^36*q^454+359520*p^34*q^ 456+25840*p^32*q^458+22*p^30*q^460+8*p^65*q^424+664*p^63*q^426+201274*p^61*q^ 428+6300172*p^59*q^430+64857114*p^57*q^432+680815915*p^55*q^434+5714469666*p^53 *q^436+38143410799*p^51*q^438+170584407216*p^49*q^440+349798056880*p^47*q^442+ 225524243754*p^45*q^444+51210641640*p^43*q^446+7160251052*p^41*q^448+748619831* p^39*q^450+48026982*p^37*q^452+2644028*p^35*q^454+58052*p^33*q^456+4792*p^31*q^ 458+112*p^64*q^424+14262*p^62*q^426+1290844*p^60*q^428+19265438*p^58*q^430+ 198744114*p^56*q^432+1887650160*p^54*q^434+14342580110*p^52*q^436+81954701766*p ^50*q^438+268781641942*p^48*q^440+328292788772*p^46*q^442+122447715502*p^44*q^ 444+20702575204*p^42*q^446+2558394649*p^40*q^448+219702642*p^38*q^450+12738382* p^36*q^452+477468*p^34*q^454+16965*p^32*q^456+300*p^30*q^458+76*p^63*q^424+ 159460*p^61*q^426+4947004*p^59*q^428+55857912*p^57*q^430+584911310*p^55*q^432+ 5009108103*p^53*q^434+33870650702*p^51*q^436+156108306424*p^49*q^438+ 338702453802*p^47*q^440+233967122113*p^45*q^442+55678629408*p^43*q^444+ 7911261799*p^41*q^446+843427420*p^39*q^448+55713972*p^37*q^450+3322890*p^35*q^ 452+79764*p^33*q^454+5300*p^31*q^456+120*p^64*q^422+7292*p^62*q^424+917314*p^60 *q^426+17270218*p^58*q^428+170194930*p^56*q^430+1643205232*p^54*q^432+ 12611402512*p^52*q^434+73638372794*p^50*q^436+251367347086*p^48*q^438+ 328410239234*p^46*q^440+130450831138*p^44*q^442+22723700918*p^42*q^444+ 2855773576*p^40*q^446+256552918*p^38*q^448+14204436*p^36*q^450+581176*p^34*q^ 452+8872*p^32*q^454+854*p^30*q^456+680*p^63*q^422+107636*p^61*q^424+4242354*p^ 59*q^426+47874050*p^57*q^428+502866977*p^55*q^430+4365590194*p^53*q^432+ 30000121872*p^51*q^434+142377377260*p^49*q^436+326236974850*p^47*q^438+ 242262288872*p^45*q^440+60434856844*p^43*q^442+8759604600*p^41*q^444+959044534* p^39*q^446+65337340*p^37*q^448+4053770*p^35*q^450+104744*p^33*q^452+6272*p^31*q ^454+8*p^29*q^456+8*p^64*q^420+2828*p^62*q^422+685770*p^60*q^424+14084774*p^58* q^426+144917595*p^56*q^428+1417088308*p^54*q^430+11067097635*p^52*q^432+ 65955682490*p^50*q^434+234840336016*p^48*q^436+327287442994*p^46*q^438+ 138900762349*p^44*q^440+24886995440*p^42*q^442+3186904474*p^40*q^444+294317326* p^38*q^446+16241606*p^36*q^448+720608*p^34*q^450+14250*p^32*q^452+544*p^30*q^ 454+944*p^63*q^420+53676*p^61*q^422+3283474*p^59*q^424+42770958*p^57*q^426+ 432802728*p^55*q^428+3813482162*p^53*q^430+26588190254*p^51*q^432+129749843029* p^49*q^434+313506705364*p^47*q^436+249212049303*p^45*q^438+65433296836*p^43*q^ 440+9626565016*p^41*q^442+1078595272*p^39*q^444+78045604*p^37*q^446+4321556*p^ 35*q^448+128112*p^33*q^450+1956*p^31*q^452+94*p^29*q^454+2728*p^62*q^420+548418 *p^60*q^422+12183224*p^58*q^424+123560202*p^56*q^426+1229384020*p^54*q^428+ 9723738822*p^52*q^430+59002272570*p^50*q^432+218307367662*p^48*q^434+ 324746220252*p^46*q^436+146963445774*p^44*q^438+27326843619*p^42*q^440+ 3557556754*p^40*q^442+337481364*p^38*q^444+18235726*p^36*q^446+1091964*p^34*q^ 448+19756*p^32*q^450+1521*p^30*q^452+304*p^63*q^418+34716*p^61*q^420+2546114*p^ 59*q^422+36772210*p^57*q^424+371455082*p^55*q^426+3311255592*p^53*q^428+ 23458346089*p^51*q^430+117693914798*p^49*q^432+299734268575*p^47*q^434+ 256048304540*p^45*q^436+70801722538*p^43*q^438+10618623276*p^41*q^440+ 1217216826*p^39*q^442+93708672*p^37*q^444+5017246*p^35*q^446+115342*p^33*q^448+ 1842*p^31*q^450+16*p^29*q^452+5068*p^62*q^418+320272*p^60*q^420+10012886*p^58*q ^422+105466388*p^56*q^424+1058179502*p^54*q^426+8521823648*p^52*q^428+ 52698668470*p^50*q^430+202520038944*p^48*q^432+321096892720*p^46*q^434+ 155517490254*p^44*q^436+29811064072*p^42*q^438+3953457298*p^40*q^440+385273756* p^38*q^442+21007356*p^36*q^444+1239880*p^34*q^446+34408*p^32*q^448+572*p^30*q^ 450+4*p^28*q^452+16*p^63*q^416+14180*p^61*q^418+2115580*p^59*q^420+31920970*p^ 57*q^422+318725172*p^55*q^424+2888021341*p^53*q^426+20734211810*p^51*q^428+ 106762036017*p^49*q^430+285668730890*p^47*q^432+261417515640*p^45*q^434+ 76400188168*p^43*q^436+11670970624*p^41*q^438+1369894036*p^39*q^440+109524892*p ^37*q^442+5379956*p^35*q^444+209474*p^33*q^446+2144*p^31*q^448+215*p^29*q^450+ 3152*p^62*q^416+235752*p^60*q^418+8095364*p^58*q^420+91984448*p^56*q^422+ 914687030*p^54*q^424+7464149580*p^52*q^426+46993955697*p^50*q^428+187171533756* p^48*q^430+315587434980*p^46*q^432+163653249734*p^44*q^434+32640561812*p^42*q^ 436+4384966280*p^40*q^438+437057169*p^38*q^440+25917778*p^36*q^442+1498794*p^34 *q^444+18776*p^32*q^446+208*p^30*q^448+8*p^63*q^414+21628*p^61*q^416+1505478*p^ 59*q^418+27393866*p^57*q^420+270003972*p^55*q^422+2500845842*p^53*q^424+ 18257690248*p^51*q^426+96445110214*p^49*q^428+271104456079*p^47*q^430+ 266258551894*p^45*q^432+82282100296*p^43*q^434+12869626976*p^41*q^436+ 1544127689*p^39*q^438+128506970*p^37*q^440+5784432*p^35*q^442+300606*p^33*q^444 +7972*p^31*q^446+104*p^29*q^448+748*p^62*q^414+112914*p^60*q^416+6742874*p^58*q ^418+79195410*p^56*q^420+789535642*p^54*q^422+6520006376*p^52*q^424+41829472332 *p^50*q^426+172624437210*p^48*q^428+309514943690*p^46*q^430+171819619413*p^44*q ^432+35591589530*p^42*q^434+4839592708*p^40*q^436+496455444*p^38*q^438+31382972 *p^36*q^440+1661380*p^34*q^442+25816*p^32*q^444+88*p^30*q^446+14*p^28*q^448+ 18047*p^61*q^414+1128800*p^59*q^416+22815772*p^57*q^418+231886560*p^55*q^420+ 2168919621*p^53*q^422+16108313292*p^51*q^424+87028112662*p^49*q^426+ 256586639250*p^47*q^428+269653177089*p^45*q^430+88467632414*p^43*q^432+ 14112381920*p^41*q^434+1735746398*p^39*q^436+147899649*p^37*q^438+6440354*p^35* q^440+379900*p^33*q^442+5580*p^31*q^444+26*p^29*q^446+304*p^62*q^412+90708*p^60 *q^414+5410935*p^58*q^416+69443088*p^56*q^418+678191435*p^54*q^420+5700803270*p ^52*q^422+37165148047*p^50*q^424+158653725560*p^48*q^426+301779104229*p^46*q^ 428+179607566666*p^44*q^430+38806242825*p^42*q^432+5354261384*p^40*q^434+ 563558851*p^38*q^436+38478670*p^36*q^438+1795084*p^34*q^440+53020*p^32*q^442+ 1000*p^30*q^444+8*p^28*q^446+9392*p^61*q^412+727782*p^59*q^414+19361792*p^57*q^ 416+197584670*p^55*q^418+1880705096*p^53*q^420+14143206249*p^51*q^422+ 78352090302*p^49*q^424+241475924802*p^47*q^426+272373234348*p^45*q^428+ 94796132818*p^43*q^430+15565685762*p^41*q^432+1938862575*p^39*q^434+169518356*p ^37*q^436+7781212*p^35*q^438+465744*p^33*q^440+1836*p^31*q^442+6*p^64*q^408+44* p^62*q^410+81018*p^60*q^412+4261348*p^58*q^414+58921393*p^56*q^416+581176192*p^ 54*q^418+4960060264*p^52*q^420+32963170136*p^50*q^422+145451188221*p^48*q^424+ 293374046722*p^46*q^426+187331061659*p^44*q^428+42240871456*p^42*q^430+ 5900789287*p^40*q^432+643868160*p^38*q^434+45934934*p^36*q^436+1840550*p^34*q^ 438+77540*p^32*q^440+1744*p^30*q^442+2*p^28*q^444+4182*p^61*q^410+439544*p^59*q ^412+15904274*p^57*q^414+171209654*p^55*q^416+1627229085*p^53*q^418+12442633228 *p^51*q^420+70460168810*p^49*q^422+227132003332*p^47*q^424+273411515525*p^45*q^ 426+101375357820*p^43*q^428+17022710552*p^41*q^430+2162253804*p^39*q^432+ 192094622*p^37*q^434+9738862*p^35*q^436+512280*p^33*q^438+6048*p^31*q^440+40*p^ 29*q^442+8*p^62*q^408+59020*p^60*q^410+3312994*p^58*q^412+51485854*p^56*q^414+ 498281912*p^54*q^416+4328282070*p^52*q^418+29237403497*p^50*q^420+132888031400* p^48*q^422+283747470097*p^46*q^424+194199429274*p^44*q^426+45965575563*p^42*q^ 428+6513751686*p^40*q^430+730656633*p^38*q^432+54258028*p^36*q^434+1863152*p^34 *q^436+111248*p^32*q^438+60*p^30*q^440+90*p^63*q^406+1482*p^61*q^408+368079*p^ 59*q^410+13244020*p^57*q^412+146285280*p^55*q^414+1403116578*p^53*q^416+ 10898325004*p^51*q^418+63049809062*p^49*q^420+212418060032*p^47*q^422+ 273837012076*p^45*q^424+108086433588*p^43*q^426+18732088604*p^41*q^428+ 2406183596*p^39*q^430+222690532*p^37*q^432+12526444*p^35*q^434+613340*p^33*q^ 436+10952*p^31*q^438+320*p^29*q^440+8*p^62*q^406+35300*p^60*q^408+2113814*p^58* q^410+42780747*p^56*q^412+425370136*p^54*q^414+3756625335*p^52*q^416+ 25843867686*p^50*q^418+121299611620*p^48*q^420+273566520424*p^46*q^422+ 201194172593*p^44*q^424+49825587032*p^42*q^426+7178260862*p^40*q^428+824895292* p^38*q^430+61773087*p^36*q^432+2091484*p^34*q^434+115330*p^32*q^436+408*p^30*q^ 438+330*p^61*q^406+261484*p^59*q^408+11245560*p^57*q^410+127592430*p^55*q^412+ 1215044158*p^53*q^414+9567530106*p^51*q^416+56550500739*p^49*q^418+198081010824 *p^47*q^420+272697507422*p^45*q^422+114856240946*p^43*q^424+20471524490*p^41*q^ 426+2659100942*p^39*q^428+255466842*p^37*q^430+15438956*p^35*q^432+563996*p^33* q^434+22860*p^31*q^436+552*p^62*q^404+18076*p^60*q^406+1639894*p^58*q^408+ 36048952*p^56*q^410+364357538*p^54*q^412+3263154574*p^52*q^414+22832046630*p^50 *q^416+110239338910*p^48*q^418+262489032703*p^46*q^420+206942952554*p^44*q^422+ 54127104350*p^42*q^424+7921208978*p^40*q^426+936511247*p^38*q^428+71536868*p^36 *q^430+2845484*p^34*q^432+163398*p^32*q^434+844*p^30*q^436+24*p^28*q^438+316*p^ 61*q^404+202528*p^59*q^406+8335876*p^57*q^408+109837483*p^55*q^410+1041354966*p ^53*q^412+8354936505*p^51*q^414+50467311096*p^49*q^416+184210834888*p^47*q^418+ 270442523762*p^45*q^420+121811743198*p^43*q^422+22452507238*p^41*q^424+ 2941505689*p^39*q^426+291271350*p^37*q^428+18717124*p^35*q^430+492566*p^33*q^ 432+21940*p^31*q^434+12*p^29*q^436+156*p^62*q^402+6528*p^60*q^404+1125804*p^58* q^406+31308721*p^56*q^408+311278768*p^54*q^410+2830647156*p^52*q^412+ 20141517070*p^50*q^414+100041314176*p^48*q^416+251076327426*p^46*q^418+ 212482375289*p^44*q^420+58422557592*p^42*q^422+8728163275*p^40*q^424+1051385616 *p^38*q^426+83494158*p^36*q^428+3670810*p^34*q^430+190306*p^32*q^432+3436*p^30* q^434+1832*p^61*q^402+127212*p^59*q^404+6378844*p^57*q^406+92495884*p^55*q^408+ 897659811*p^53*q^410+7305207538*p^51*q^412+45007796647*p^49*q^414+170852476806* p^47*q^416+267275241172*p^45*q^418+128639760010*p^43*q^420+24544402088*p^41*q^ 422+3251038380*p^39*q^424+335364703*p^37*q^426+21270402*p^35*q^428+548862*p^33* q^430+28544*p^31*q^432+24*p^29*q^434+4324*p^60*q^402+884616*p^58*q^404+25992858 *p^56*q^406+270511447*p^54*q^408+2455177536*p^52*q^410+17754456175*p^50*q^412+ 90544367750*p^48*q^414+239014453387*p^46*q^416+216867324276*p^44*q^418+ 63115194108*p^42*q^420+9583726832*p^40*q^422+1174659922*p^38*q^424+95754650*p^ 36*q^426+4939426*p^34*q^428+163246*p^32*q^430+4272*p^30*q^432+1850*p^61*q^400+ 67944*p^59*q^402+4758322*p^57*q^404+79571242*p^55*q^406+765913362*p^53*q^408+ 6360171728*p^51*q^410+40034433836*p^49*q^412+157599494983*p^47*q^414+ 262894846126*p^45*q^416+135561344034*p^43*q^418+26876902508*p^41*q^420+ 3603789598*p^39*q^422+386770900*p^37*q^424+25489100*p^35*q^426+706744*p^33*q^ 428+48220*p^31*q^430+280*p^29*q^432+4864*p^60*q^400+644354*p^58*q^402+20773821* p^56*q^404+230350568*p^54*q^406+2120550455*p^52*q^408+15613067724*p^50*q^410+ 81796481967*p^48*q^412+226854094216*p^46*q^414+220942902656*p^44*q^416+ 67920178594*p^42*q^418+10554647244*p^40*q^420+1302517886*p^38*q^422+110188128*p ^36*q^424+5974948*p^34*q^426+128222*p^32*q^428+3176*p^30*q^430+156*p^61*q^398+ 38012*p^59*q^400+3451996*p^57*q^402+68661438*p^55*q^404+658228870*p^53*q^406+ 5551940932*p^51*q^408+35603956430*p^49*q^410+145341096940*p^47*q^412+ 257269194542*p^45*q^414+142213919146*p^43*q^416+29289906567*p^41*q^418+ 3967797220*p^39*q^420+440858448*p^37*q^422+29343712*p^35*q^424+998398*p^33*q^ 426+51882*p^31*q^428+776*p^29*q^430+8826*p^60*q^398+428352*p^58*q^400+16841786* p^56*q^402+197784122*p^54*q^404+1834542206*p^52*q^406+13714746052*p^50*q^408+ 73702268410*p^48*q^410+214415867201*p^46*q^412+223468693742*p^44*q^414+ 73087623242*p^42*q^416+11594436728*p^40*q^418+1452823169*p^38*q^420+128933364*p ^36*q^422+7087038*p^34*q^424+116880*p^32*q^426+7612*p^30*q^428+8*p^28*q^430+140 *p^61*q^396+25324*p^59*q^398+2703534*p^57*q^400+57750057*p^55*q^402+563649176*p ^53*q^404+4819851437*p^51*q^406+31548781882*p^49*q^408+133355442351*p^47*q^410+ 250977712492*p^45*q^412+148696536806*p^43*q^414+32003945132*p^41*q^416+ 4384993061*p^39*q^418+500001940*p^37*q^420+34158962*p^35*q^422+1507410*p^33*q^ 424+46166*p^31*q^426+216*p^29*q^428+3308*p^60*q^396+262704*p^58*q^398+12527334* p^56*q^400+169221958*p^54*q^402+1576021436*p^52*q^404+12012044738*p^50*q^406+ 66230506735*p^48*q^408+202045378734*p^46*q^410+225796405917*p^44*q^412+ 78254828754*p^42*q^414+12752736876*p^40*q^416+1606703996*p^38*q^418+150578682*p ^36*q^420+8339058*p^34*q^422+140774*p^32*q^424+11564*p^30*q^426+88*p^28*q^428+ 26234*p^59*q^396+1951231*p^57*q^398+48947902*p^55*q^400+485167878*p^53*q^402+ 4195385522*p^51*q^404+27989769481*p^49*q^406+122261038152*p^47*q^408+ 243730200640*p^45*q^410+154872484664*p^43*q^412+34744144258*p^41*q^414+ 4835158702*p^39*q^416+562734336*p^37*q^418+39063058*p^35*q^420+1784848*p^33*q^ 422+23988*p^31*q^424+684*p^29*q^426+1992*p^60*q^394+172843*p^58*q^396+9978888*p ^56*q^398+145533988*p^54*q^400+1357750384*p^52*q^402+10530056271*p^50*q^404+ 59398335928*p^48*q^406+189348119635*p^46*q^408+226535025356*p^44*q^410+ 83788163367*p^42*q^412+14009400424*p^40*q^414+1778727075*p^38*q^416+175158654*p ^36*q^418+9974268*p^34*q^420+288496*p^32*q^422+14148*p^30*q^424+8*p^28*q^426+ 23652*p^59*q^394+1379440*p^57*q^396+39325656*p^55*q^398+413337004*p^53*q^400+ 3634032985*p^51*q^402+24698821620*p^49*q^404+111559193470*p^47*q^406+ 235761436568*p^45*q^408+160796475084*p^43*q^410+37865782832*p^41*q^412+ 5331679101*p^39*q^414+633891440*p^37*q^416+46826226*p^35*q^418+2176036*p^33*q^ 420+14332*p^31*q^422+1692*p^29*q^424+4*p^27*q^426+330*p^60*q^392+104612*p^58*q^ 394+7499354*p^56*q^396+125027628*p^54*q^398+1165257590*p^52*q^400+9198817652*p^ 50*q^402+53208850397*p^48*q^404+177258736624*p^46*q^406+226568360516*p^44*q^408 +89247075956*p^42*q^410+15361531823*p^40*q^412+1963408558*p^38*q^414+201444930* p^36*q^416+11254320*p^34*q^418+398708*p^32*q^420+8264*p^30*q^422+28*p^28*q^424+ 14710*p^59*q^392+950856*p^57*q^394+31998076*p^55*q^396+354421397*p^53*q^398+ 3150628688*p^51*q^400+21825047339*p^49*q^402+101662476634*p^47*q^404+ 227008625143*p^45*q^406+166245737998*p^43*q^408+41051805536*p^41*q^410+ 5882772892*p^39*q^412+707459492*p^37*q^414+55186746*p^35*q^416+2647246*p^33*q^ 418+34540*p^31*q^420+2616*p^29*q^422+16*p^60*q^390+99008*p^58*q^392+5671192*p^ 56*q^394+106399186*p^54*q^396+1002737260*p^52*q^398+8036192150*p^50*q^400+ 47529152724*p^48*q^402+165148814007*p^46*q^404+225554879108*p^44*q^406+ 94869722777*p^42*q^408+16813166288*p^40*q^410+2176241120*p^38*q^412+232135078*p ^36*q^414+13102182*p^34*q^416+506074*p^32*q^418+1616*p^30*q^420+156*p^28*q^422+ 6610*p^59*q^390+620476*p^57*q^392+25400629*p^55*q^394+303920196*p^53*q^396+ 2718978289*p^51*q^398+19207939256*p^49*q^400+92255580811*p^47*q^402+ 217714993784*p^45*q^404+171091665621*p^43*q^406+44596804040*p^41*q^408+ 6495452924*p^39*q^410+783154792*p^37*q^412+65187949*p^35*q^414+3161566*p^33*q^ 416+70376*p^31*q^418+2612*p^29*q^420+124*p^60*q^388+77060*p^58*q^390+4182579*p^ 56*q^392+88572680*p^54*q^394+855426681*p^52*q^396+6992690978*p^50*q^398+ 42383512936*p^48*q^400+153369151000*p^46*q^402+223842034987*p^44*q^404+ 100595053828*p^42*q^406+18432317959*p^40*q^408+2396703654*p^38*q^410+267320918* p^36*q^412+15913804*p^34*q^414+632552*p^32*q^416+2076*p^30*q^418+276*p^28*q^420 +764*p^59*q^388+409518*p^57*q^390+19742864*p^55*q^392+262265487*p^53*q^394+ 2353298146*p^51*q^396+16928190438*p^49*q^398+83687998858*p^47*q^400+ 208038171376*p^45*q^402+175407201752*p^43*q^404+48098617425*p^41*q^406+ 7139917986*p^39*q^408+868296413*p^37*q^410+75586818*p^35*q^412+3416742*p^33*q^ 414+95806*p^31*q^416+300*p^29*q^418+8*p^27*q^420+12*p^60*q^386+53110*p^58*q^388 +3078332*p^56*q^390+74520596*p^54*q^392+733977192*p^52*q^394+6095388594*p^50*q^ 396+37692137804*p^48*q^398+142006445436*p^46*q^400+220543183856*p^44*q^402+ 106303580023*p^42*q^404+20168506032*p^40*q^406+2663197543*p^38*q^408+302223104* p^36*q^410+19084843*p^34*q^412+810448*p^32*q^414+8236*p^30*q^416+476*p^28*q^418 +2020*p^59*q^386+337636*p^57*q^388+15360802*p^55*q^390+222729104*p^53*q^392+ 2023177733*p^51*q^394+14833392452*p^49*q^396+75562876012*p^47*q^398+ 197919419158*p^45*q^400+179135975169*p^43*q^402+52066835110*p^41*q^404+ 7858517543*p^39*q^406+962129872*p^37*q^408+90420230*p^35*q^410+4175290*p^33*q^ 412+140634*p^31*q^414+40*p^29*q^416+16*p^27*q^418+16*p^60*q^384+16476*p^58*q^ 386+2000044*p^56*q^388+59861660*p^54*q^390+628000067*p^52*q^392+5289278344*p^50 *q^394+33485440461*p^48*q^396+131079536860*p^46*q^398+217173910388*p^44*q^400+ 111808012960*p^42*q^402+22045023255*p^40*q^404+2937734164*p^38*q^406+338428587* p^36*q^408+22350078*p^34*q^410+889016*p^32*q^412+12528*p^30*q^414+52*p^28*q^416 +424*p^59*q^384+262250*p^57*q^386+11955234*p^55*q^388+191862553*p^53*q^390+ 1742395916*p^51*q^392+13029889413*p^49*q^394+68185673730*p^47*q^396+ 187639251494*p^45*q^398+182078873608*p^43*q^400+55954301560*p^41*q^402+ 8641513716*p^39*q^404+1061916350*p^37*q^406+105991716*p^35*q^408+5004313*p^33*q ^410+171728*p^31*q^412+524*p^29*q^414+36*p^27*q^416+15526*p^58*q^384+1481518*p^ 56*q^386+48659670*p^54*q^388+538314580*p^52*q^390+4593443827*p^50*q^392+ 29688876882*p^48*q^394+120462908369*p^46*q^396+212250104802*p^44*q^398+ 117396053048*p^42*q^400+24074352906*p^40*q^402+3252999588*p^38*q^404+378806382* p^36*q^406+26820124*p^34*q^408+1021268*p^32*q^410+27660*p^30*q^412+300*p^59*q^ 382+148828*p^57*q^384+8751109*p^55*q^386+160953342*p^53*q^388+1492585454*p^51*q ^390+11385846860*p^49*q^392+61268834547*p^47*q^394+177183099354*p^45*q^396+ 184343019536*p^43*q^398+60306428026*p^41*q^400+9491431727*p^39*q^402+1179975482 *p^37*q^404+122990010*p^35*q^406+6123642*p^33*q^408+219836*p^31*q^410+876*p^29* q^412+4*p^27*q^414+7220*p^58*q^382+1086984*p^56*q^384+38926222*p^54*q^386+ 460990598*p^52*q^388+3979329298*p^50*q^390+26262952156*p^48*q^392+110597941190* p^46*q^394+206797799470*p^44*q^396+122670686700*p^42*q^398+26247721163*p^40*q^ 400+3584349970*p^38*q^402+418359460*p^36*q^404+32521206*p^34*q^406+1181340*p^32 *q^408+30634*p^30*q^410+12*p^28*q^412+12*p^59*q^380+92190*p^57*q^382+6334412*p^ 55*q^384+134368627*p^53*q^386+1280798234*p^51*q^388+9949073585*p^49*q^390+ 55029131030*p^47*q^392+166748916314*p^45*q^394+185842845192*p^43*q^396+ 64488638078*p^41*q^398+10443651384*p^39*q^400+1306591886*p^37*q^402+141458872*p ^35*q^404+7202064*p^33*q^406+248976*p^31*q^408+3892*p^29*q^410+3300*p^58*q^380+ 801202*p^56*q^382+30959641*p^54*q^384+397869142*p^52*q^386+3441215102*p^50*q^ 388+23215529500*p^48*q^390+101123729383*p^46*q^392+200586315612*p^44*q^394+ 127614132937*p^42*q^396+28600109396*p^40*q^398+3950437738*p^38*q^400+464800952* p^36*q^402+38616820*p^34*q^404+1489932*p^32*q^406+41968*p^30*q^408+20*p^28*q^ 410+92*p^59*q^378+65708*p^57*q^380+4588738*p^55*q^382+111432850*p^53*q^384+ 1093391689*p^51*q^386+8677233340*p^49*q^388+49170492432*p^47*q^390+156161276306 *p^45*q^392+186516581381*p^43*q^394+69111770928*p^41*q^396+11449888696*p^39*q^ 398+1457244326*p^37*q^400+160302788*p^35*q^402+9002924*p^33*q^404+267888*p^31*q ^406+5538*p^29*q^408+1218*p^58*q^378+509762*p^56*q^380+23523392*p^54*q^382+ 336317332*p^52*q^384+2965838972*p^50*q^386+20437678159*p^48*q^388+92218921514*p ^46*q^390+194091412863*p^44*q^392+132427537754*p^42*q^394+31119293681*p^40*q^ 396+4360976704*p^38*q^398+513004732*p^36*q^400+47062516*p^34*q^402+1757434*p^32 *q^404+60632*p^30*q^406+296*p^28*q^408+2*p^59*q^376+29224*p^57*q^378+3376412*p^ 55*q^380+91711124*p^53*q^382+941741684*p^51*q^384+7570742329*p^49*q^386+ 44019150442*p^47*q^388+145886130647*p^45*q^390+186230844574*p^43*q^392+ 73551603102*p^41*q^394+12551432722*p^39*q^396+1595977332*p^37*q^398+179328038*p ^35*q^400+10501262*p^33*q^402+308172*p^31*q^404+4630*p^29*q^406+1244*p^58*q^376 +377412*p^56*q^378+18094357*p^54*q^380+286655518*p^52*q^382+2555185257*p^50*q^ 384+17987042170*p^48*q^386+83799691874*p^46*q^388+186380628142*p^44*q^390+ 136887344255*p^42*q^392+33761436182*p^40*q^394+4814608991*p^38*q^396+577408722* p^36*q^398+55516674*p^34*q^400+2286162*p^32*q^402+61412*p^30*q^404+916*p^28*q^ 406+14*p^59*q^374+18760*p^57*q^376+2466242*p^55*q^378+73937782*p^53*q^380+ 804995280*p^51*q^382+6566686272*p^49*q^384+39185997758*p^47*q^386+135795286198* p^45*q^388+185240604489*p^43*q^390+78264562108*p^41*q^392+13786384396*p^39*q^ 394+1774525642*p^37*q^396+198262858*p^35*q^398+13180418*p^33*q^400+389238*p^31* q^402+12332*p^29*q^404+8*p^27*q^406+212*p^58*q^374+214826*p^56*q^376+13086754*p ^54*q^378+241102653*p^52*q^380+2188402198*p^50*q^382+15797426991*p^48*q^384+ 76005786314*p^46*q^386+178768626737*p^44*q^388+140737065856*p^42*q^390+ 36695070903*p^40*q^392+5278790138*p^38*q^394+637205494*p^36*q^396+65122584*p^34 *q^398+2735384*p^32*q^400+55316*p^30*q^402+204*p^28*q^404+16*p^59*q^372+9150*p^ 57*q^374+1718514*p^55*q^376+59806046*p^53*q^378+690171636*p^51*q^380+5717768433 *p^49*q^382+34882526374*p^47*q^384+126031740089*p^45*q^386+183571179872*p^43*q^ 388+82736490121*p^41*q^390+15069414960*p^39*q^392+1962517255*p^37*q^394+ 221774492*p^35*q^396+16154414*p^33*q^398+482892*p^31*q^400+13950*p^29*q^402+96* p^27*q^404+180*p^58*q^372+151284*p^56*q^374+10136009*p^54*q^376+201858772*p^52* q^378+1883044646*p^50*q^380+13837583966*p^48*q^382+68699501475*p^46*q^384+ 170391563340*p^44*q^386+144110949437*p^42*q^388+39650668560*p^40*q^390+ 5836676449*p^38*q^392+702755326*p^36*q^394+73837272*p^34*q^396+3223172*p^32*q^ 398+77862*p^30*q^400+1496*p^28*q^402+8*p^59*q^370+5360*p^57*q^372+1199612*p^55* q^374+45879630*p^53*q^376+588360007*p^51*q^378+4935950008*p^49*q^380+ 30926701722*p^47*q^382+116374127776*p^45*q^384+180996028146*p^43*q^386+ 87612582458*p^41*q^388+16517876655*p^39*q^390+2169441338*p^37*q^392+250621200*p ^35*q^394+20334094*p^33*q^396+684684*p^31*q^398+9620*p^29*q^400+276*p^58*q^370+ 72280*p^56*q^372+7220438*p^54*q^374+168007381*p^52*q^376+1615505086*p^50*q^378+ 12113443113*p^48*q^380+61991207396*p^46*q^382+162076797855*p^44*q^384+ 147055021682*p^42*q^386+42820455632*p^40*q^388+6393740384*p^38*q^390+781048553* p^36*q^392+82060588*p^34*q^394+3933010*p^32*q^396+83542*p^30*q^398+2908*p^28*q^ 400+4*p^26*q^402+1725*p^57*q^370+842418*p^55*q^372+35894579*p^53*q^374+ 500893952*p^51*q^376+4268558132*p^49*q^378+27419914968*p^47*q^380+107296135760* p^45*q^382+177573900226*p^43*q^384+92017360833*p^41*q^386+18076420674*p^39*q^ 388+2397539196*p^37*q^390+276186266*p^35*q^392+24980628*p^33*q^394+785718*p^31* q^396+12130*p^29*q^398+64*p^27*q^400+136*p^58*q^368+49780*p^56*q^370+5277212*p^ 54*q^372+137610706*p^52*q^374+1384962456*p^50*q^376+10588570816*p^48*q^378+ 55748266631*p^46*q^380+153316720656*p^44*q^382+149325781687*p^42*q^384+ 46098059976*p^40*q^386+7042910512*p^38*q^388+863317272*p^36*q^390+93725360*p^34 *q^392+4995842*p^32*q^394+134936*p^30*q^396+1568*p^28*q^398+2562*p^57*q^368+ 527486*p^55*q^370+27573184*p^53*q^372+424793090*p^51*q^374+3676993432*p^49*q^ 376+24198382267*p^47*q^378+98472915948*p^45*q^380+173546188977*p^43*q^382+ 96535337564*p^41*q^384+19761866827*p^39*q^386+2648693114*p^37*q^388+307322595*p ^35*q^390+28454344*p^33*q^392+917414*p^31*q^394+14576*p^29*q^396+446*p^27*q^398 +76*p^58*q^366+21605*p^56*q^368+3831840*p^54*q^370+110219716*p^52*q^372+ 1182113930*p^50*q^374+9218084426*p^48*q^376+50014302168*p^46*q^378+144674566737 *p^44*q^380+151101993142*p^42*q^382+49628325890*p^40*q^384+7728636976*p^38*q^ 386+959366584*p^36*q^388+106280434*p^34*q^390+6982770*p^32*q^392+184830*p^30*q^ 394+1230*p^28*q^396+1396*p^57*q^366+312224*p^55*q^368+20229890*p^53*q^370+ 359819778*p^51*q^372+3174684644*p^49*q^374+21371889128*p^47*q^376+90225401724*p ^45*q^378+168949828186*p^43*q^380+100690287266*p^41*q^382+21549208392*p^39*q^ 384+2911860652*p^37*q^386+338215410*p^35*q^388+32447249*p^33*q^390+955008*p^31* q^392+18302*p^29*q^394+172*p^27*q^396+17480*p^56*q^366+2808334*p^54*q^368+ 89918362*p^52*q^370+1013235075*p^50*q^372+8021230022*p^48*q^374+44793641430*p^ 46*q^376+135716931084*p^44*q^378+151985258382*p^42*q^380+53123067968*p^40*q^382 +8507896868*p^38*q^384+1064718536*p^36*q^386+119118833*p^34*q^388+8707384*p^32* q^390+233762*p^30*q^392+2542*p^28*q^394+32*p^26*q^396+1252*p^57*q^364+198433*p^ 55*q^366+15293496*p^53*q^368+297203242*p^51*q^370+2719676982*p^49*q^372+ 18769388022*p^47*q^374+82230023408*p^45*q^376+163549678198*p^43*q^378+ 104970110204*p^41*q^380+23500124577*p^39*q^382+3222513554*p^37*q^384+374680544* p^35*q^386+37828706*p^33*q^388+1488244*p^31*q^390+32672*p^29*q^392+78*p^27*q^ 394+11640*p^56*q^364+1722876*p^54*q^366+68996668*p^52*q^368+865996958*p^50*q^ 370+6959115661*p^48*q^372+40007189698*p^46*q^374+127220190538*p^44*q^376+ 152443489230*p^42*q^378+56800338337*p^40*q^380+9335920604*p^38*q^382+1176856046 *p^36*q^384+132607720*p^34*q^386+10203200*p^32*q^388+189184*p^30*q^390+1904*p^ 28*q^392+8*p^26*q^394+116*p^57*q^362+114194*p^55*q^364+11596050*p^53*q^366+ 250306300*p^51*q^368+2337599678*p^49*q^370+16522728490*p^47*q^372+74877909934*p ^45*q^374+157842685050*p^43*q^376+108496120140*p^41*q^378+25588827778*p^39*q^ 380+3529601374*p^37*q^382+415715762*p^35*q^384+43409840*p^33*q^386+2119564*p^31 *q^388+52710*p^29*q^390+316*p^27*q^392+9768*p^56*q^362+1212078*p^54*q^364+ 53835024*p^52*q^366+733452802*p^50*q^368+6038841864*p^48*q^370+35587999421*p^46 *q^372+118479713460*p^44*q^374+152056467417*p^42*q^376+60520380240*p^40*q^378+ 10262750818*p^38*q^380+1310316964*p^36*q^382+147089758*p^34*q^384+12080814*p^32 *q^386+230080*p^30*q^388+3680*p^28*q^390+4*p^26*q^392+24*p^57*q^360+82968*p^55* q^362+8183334*p^53*q^364+203451458*p^51*q^366+2003938542*p^49*q^368+14441830662 *p^47*q^370+67920787232*p^45*q^372+151554141057*p^43*q^374+112181142570*p^41*q^ 376+27763739191*p^39*q^378+3898730954*p^37*q^380+458946442*p^35*q^382+49961974* p^33*q^384+2767912*p^31*q^386+56316*p^29*q^388+198*p^27*q^390+4056*p^56*q^360+ 744210*p^54*q^362+41381712*p^52*q^364+622229386*p^50*q^366+5205626061*p^48*q^ 368+31660787936*p^46*q^370+110034627540*p^44*q^372+151102697804*p^42*q^374+ 64349683612*p^40*q^376+11261776298*p^38*q^378+1443625504*p^36*q^380+162360024*p ^34*q^382+14110828*p^32*q^384+385112*p^30*q^386+7408*p^28*q^388+20*p^26*q^390+8 *p^57*q^358+54928*p^55*q^360+5749386*p^53*q^362+164545552*p^51*q^364+1718218733 *p^49*q^366+12662490252*p^47*q^368+61475083305*p^45*q^370+145037824600*p^43*q^ 372+115145490966*p^41*q^374+30121960514*p^39*q^376+4276854290*p^37*q^378+ 513295092*p^35*q^380+56426068*p^33*q^382+3419140*p^31*q^384+29708*p^29*q^386+ 244*p^27*q^388+8*p^58*q^356+748*p^56*q^358+502678*p^54*q^360+31848754*p^52*q^ 362+526832121*p^50*q^364+4497046778*p^48*q^366+28056754365*p^46*q^368+ 101873340886*p^44*q^370+149242870183*p^42*q^372+68022005666*p^40*q^374+ 12368541841*p^38*q^376+1595456934*p^36*q^378+177298387*p^34*q^380+16883052*p^32 *q^382+568318*p^30*q^384+15348*p^28*q^386+14*p^26*q^388+43762*p^55*q^358+ 3983520*p^53*q^360+131142816*p^51*q^362+1461327164*p^49*q^364+11030783212*p^47* q^366+55378569926*p^45*q^368+138074962783*p^43*q^370+117892295478*p^41*q^372+ 32632919350*p^39*q^374+4723199734*p^37*q^376+572530085*p^35*q^378+63890108*p^33 *q^380+4075818*p^31*q^382+51744*p^29*q^384+490*p^27*q^386+6*p^58*q^354+352*p^56 *q^356+307366*p^54*q^358+23343345*p^52*q^360+437717982*p^50*q^362+3872041188*p^ 48*q^364+24788559830*p^46*q^366+94051732516*p^44*q^368+147096122820*p^42*q^370+ 71870589083*p^40*q^372+13511972804*p^38*q^374+1757600220*p^36*q^376+194999836*p ^34*q^378+19748866*p^32*q^380+828226*p^30*q^382+7596*p^28*q^384+8*p^26*q^386+ 104*p^57*q^354+13290*p^55*q^356+2675840*p^53*q^358+104024910*p^51*q^360+ 1254308736*p^49*q^362+9610923152*p^47*q^364+49895616169*p^45*q^366+131040364874 *p^43*q^368+120016311133*p^41*q^370+35181386324*p^39*q^372+5196001534*p^37*q^ 374+635012048*p^35*q^376+70693801*p^33*q^378+4852656*p^31*q^380+77156*p^29*q^ 382+2400*p^27*q^384+28*p^56*q^354+265322*p^54*q^356+17180662*p^52*q^358+ 365609742*p^50*q^360+3327582888*p^48*q^362+21903228626*p^46*q^364+86317746504*p ^44*q^366+144049729641*p^42*q^368+75476332706*p^40*q^370+14837202603*p^38*q^372 +1932730014*p^36*q^374+218688997*p^34*q^376+23062206*p^32*q^378+1030730*p^30*q^ 380+4520*p^28*q^382+10*p^26*q^384+128*p^57*q^352+7316*p^55*q^354+1757008*p^53*q ^356+81431522*p^51*q^358+1059930788*p^49*q^360+8341570090*p^47*q^362+ 44670925002*p^45*q^364+123709584404*p^43*q^366+121844588264*p^41*q^368+ 37932446619*p^39*q^370+5726173796*p^37*q^372+708870143*p^35*q^374+76209992*p^33 *q^376+6146948*p^31*q^378+155234*p^29*q^380+2528*p^27*q^382+588*p^56*q^352+ 137980*p^54*q^354+12172280*p^52*q^356+295542312*p^50*q^358+2853773529*p^48*q^ 360+19263656134*p^46*q^362+79204769286*p^44*q^364+140564353142*p^42*q^366+ 79157224372*p^40*q^368+16187507802*p^38*q^370+2130831832*p^36*q^372+240690604*p ^34*q^374+27299978*p^32*q^376+1216816*p^30*q^378+6664*p^28*q^380+168*p^26*q^382 +1488*p^55*q^352+1258271*p^53*q^354+62684640*p^51*q^356+906003396*p^49*q^358+ 7243673262*p^47*q^360+40030975142*p^45*q^362+116490060852*p^43*q^364+ 122854888487*p^41*q^366+40747495464*p^39*q^368+6289131212*p^37*q^370+781876478* p^35*q^372+83866316*p^33*q^374+7014908*p^31*q^376+214340*p^29*q^378+172*p^27*q^ 380+1230*p^56*q^350+77022*p^54*q^352+8707250*p^52*q^354+242852206*p^50*q^356+ 2442295656*p^48*q^358+16917423510*p^46*q^360+72260478652*p^44*q^362+ 136474350203*p^42*q^364+82440364342*p^40*q^366+17709432562*p^38*q^368+ 2349957840*p^36*q^370+272824842*p^34*q^372+30352760*p^32*q^374+1633334*p^30*q^ 376+18918*p^28*q^378+476*p^26*q^380+2652*p^55*q^350+902242*p^53*q^352+46765309* p^51*q^354+756867574*p^49*q^356+6254032781*p^47*q^358+35662609864*p^45*q^360+ 109150332291*p^43*q^362+123637226504*p^41*q^364+43681823982*p^39*q^366+ 6943317600*p^37*q^368+863915236*p^35*q^370+90907750*p^33*q^372+9045516*p^31*q^ 374+275096*p^29*q^376+384*p^27*q^378+4*p^25*q^380+200*p^56*q^348+30284*p^54*q^ 350+5801561*p^52*q^352+195014030*p^50*q^354+2089552002*p^48*q^356+14819543590*p ^46*q^358+65797467336*p^44*q^360+132020348528*p^42*q^362+85788526157*p^40*q^364 +19254012906*p^38*q^366+2583852527*p^36*q^368+304388652*p^34*q^370+33611416*p^ 32*q^372+1854102*p^30*q^374+34812*p^28*q^376+6464*p^55*q^348+538598*p^53*q^350+ 35297854*p^51*q^352+633500637*p^49*q^354+5401169672*p^47*q^356+31768306295*p^45 *q^358+101944488916*p^43*q^360+123659997329*p^41*q^362+46643492282*p^39*q^364+ 7631033688*p^37*q^366+954368560*p^35*q^368+99882360*p^33*q^370+10884784*p^31*q^ 372+364762*p^29*q^374+1152*p^27*q^376+36*p^25*q^378+8*p^56*q^346+17446*p^54*q^ 348+4378774*p^52*q^350+153892945*p^50*q^352+1788935876*p^48*q^354+12963351513*p ^46*q^356+59688346108*p^44*q^358+126992292143*p^42*q^360+88640505020*p^40*q^362 +21011494746*p^38*q^364+2843007518*p^36*q^366+340386084*p^34*q^368+36523550*p^ 32*q^370+2349218*p^30*q^372+48508*p^28*q^374+8*p^26*q^376+3488*p^55*q^346+ 315042*p^53*q^348+25255956*p^51*q^350+527131608*p^49*q^352+4643089901*p^47*q^ 354+28151411590*p^45*q^356+94760041042*p^43*q^358+123158077012*p^41*q^360+ 49715458512*p^39*q^362+8398500968*p^37*q^364+1055172147*p^35*q^366+112731884*p^ 33*q^368+12712533*p^31*q^370+447000*p^29*q^372+4192*p^27*q^374+25150*p^54*q^346 +2921987*p^52*q^348+119791778*p^50*q^350+1512824999*p^48*q^352+11290987312*p^46 *q^354+54009397372*p^44*q^356+121843434478*p^42*q^358+91478489945*p^40*q^360+ 22797963894*p^38*q^362+3142572048*p^36*q^364+377698370*p^34*q^366+38510364*p^32 *q^368+3271030*p^30*q^370+76056*p^28*q^372+20*p^26*q^374+460*p^55*q^344+145160* p^53*q^346+18281962*p^51*q^348+433441308*p^49*q^350+4000428104*p^47*q^352+ 24958127531*p^45*q^354+87879677158*p^43*q^356+122065828751*p^41*q^358+ 52714789310*p^39*q^360+9195309947*p^37*q^362+1152338460*p^35*q^364+126074442*p^ 33*q^366+14596532*p^31*q^368+469418*p^29*q^370+5112*p^27*q^372+24822*p^54*q^344 +2036484*p^52*q^346+93253995*p^50*q^348+1288110756*p^48*q^350+9829418526*p^46*q ^352+48683051378*p^44*q^354+116198400560*p^42*q^356+93746660844*p^40*q^358+ 24764610019*p^38*q^360+3476766538*p^36*q^362+424121358*p^34*q^364+41841342*p^32 *q^366+3965984*p^30*q^368+95448*p^28*q^370+300*p^26*q^372+216*p^55*q^342+125982 *p^53*q^344+13245597*p^51*q^346+351310316*p^49*q^348+3417136122*p^47*q^350+ 21988654960*p^45*q^352+81020478278*p^43*q^354+120506811372*p^41*q^356+ 55802445621*p^39*q^358+10123224940*p^37*q^360+1266794027*p^35*q^362+142247420*p ^33*q^364+16033242*p^31*q^366+781152*p^29*q^368+14432*p^27*q^370+8344*p^54*q^ 342+1095576*p^52*q^344+68827798*p^50*q^346+1081679453*p^48*q^348+8531344204*p^ 46*q^350+43797437918*p^44*q^352+110525979124*p^42*q^354+95901129170*p^40*q^356+ 26770977734*p^38*q^358+3834240379*p^36*q^360+468039400*p^34*q^362+45442809*p^32 *q^364+5022046*p^30*q^366+77160*p^28*q^368+248*p^26*q^370+3*p^57*q^338+24*p^55* q^340+108688*p^53*q^342+9655080*p^51*q^344+285317758*p^49*q^346+2938568346*p^47 *q^348+19382760103*p^45*q^350+74633917030*p^43*q^352+118249352871*p^41*q^354+ 58774786026*p^39*q^356+11054865641*p^37*q^358+1392715868*p^35*q^360+159617902*p ^33*q^362+17092516*p^31*q^364+998532*p^29*q^366+18236*p^27*q^368+8*p^25*q^370+ 4424*p^54*q^340+761946*p^52*q^342+51784852*p^50*q^344+905810754*p^48*q^346+ 7368462118*p^46*q^348+39231332698*p^44*q^350+104486489198*p^42*q^352+ 97399354210*p^40*q^354+28952230357*p^38*q^356+4237942762*p^36*q^358+518477473*p ^34*q^360+51028964*p^32*q^362+5929810*p^30*q^364+135324*p^28*q^366+1720*p^26*q^ 368+16*p^55*q^338+72410*p^53*q^340+6396506*p^51*q^342+225065644*p^49*q^344+ 2505010420*p^47*q^346+17020503852*p^45*q^348+68358275929*p^43*q^350+ 115785250344*p^41*q^352+61725480594*p^39*q^354+12141573768*p^37*q^356+ 1540690368*p^35*q^358+180718940*p^33*q^360+17784837*p^31*q^362+1392398*p^29*q^ 364+12212*p^27*q^366+4*p^25*q^368+48*p^56*q^336+976*p^54*q^338+503096*p^52*q^ 340+38282676*p^50*q^342+753079663*p^48*q^344+6360673880*p^46*q^346+35046365974* p^44*q^348+98512496252*p^42*q^350+98677260702*p^40*q^352+31140112734*p^38*q^354 +4665581568*p^36*q^356+562487210*p^34*q^358+57023786*p^32*q^360+6998270*p^30*q^ 362+204240*p^28*q^364+3520*p^26*q^366+16*p^55*q^336+41924*p^53*q^338+4164402*p^ 51*q^340+175025310*p^49*q^342+2132431022*p^47*q^344+14926201929*p^45*q^346+ 62472442188*p^43*q^348+112671610245*p^41*q^350+64620883270*p^39*q^352+ 13250021739*p^37*q^354+1706752086*p^35*q^356+205092112*p^33*q^358+18994576*p^31 *q^360+1717944*p^29*q^362+14484*p^27*q^364+72*p^25*q^366+416*p^54*q^336+391584* p^52*q^338+28523516*p^50*q^340+624548010*p^48*q^342+5489839082*p^46*q^344+ 31227784974*p^44*q^346+92404199676*p^42*q^348+99287111418*p^40*q^350+ 33443804419*p^38*q^352+5134188534*p^36*q^354+613543192*p^34*q^356+63608870*p^32 *q^358+7530243*p^30*q^360+307516*p^28*q^362+1684*p^26*q^364+329*p^55*q^334+ 18322*p^53*q^336+2850814*p^51*q^338+134097544*p^49*q^340+1801435837*p^47*q^342+ 13002703106*p^45*q^344+56841320659*p^43*q^346+109082238804*p^41*q^348+ 67341022358*p^39*q^350+14545032136*p^37*q^352+1895604431*p^35*q^354+231353178*p ^33*q^356+20764297*p^31*q^358+2270028*p^29*q^360+32312*p^27*q^362+548*p^25*q^ 364+460*p^54*q^334+267896*p^52*q^336+19520410*p^50*q^338+507030638*p^48*q^340+ 4716775452*p^46*q^342+27757388450*p^44*q^344+86426808338*p^42*q^346+99758500817 *p^40*q^348+35797168564*p^38*q^350+5643092691*p^36*q^352+673595336*p^34*q^354+ 72560611*p^32*q^356+7881982*p^30*q^358+416060*p^28*q^360+760*p^26*q^362+72*p^55 *q^332+5670*p^53*q^334+1848392*p^51*q^336+103489759*p^49*q^338+1526444424*p^47* q^340+11342832497*p^45*q^342+51613626054*p^43*q^344+105290610172*p^41*q^346+ 69759962110*p^39*q^348+15805554687*p^37*q^350+2097574980*p^35*q^352+250114393*p ^33*q^354+22236572*p^31*q^356+2846996*p^29*q^358+49268*p^27*q^360+136*p^25*q^ 362+1288*p^54*q^332+169502*p^52*q^334+14174106*p^50*q^336+407998218*p^48*q^338+ 4041979286*p^46*q^340+24586693242*p^44*q^342+80384282186*p^42*q^344+99448934954 *p^40*q^346+38259527220*p^38*q^348+6217921596*p^36*q^350+743650048*p^34*q^352+ 86579462*p^32*q^354+8386225*p^30*q^356+515532*p^28*q^358+3340*p^26*q^360+40*p^ 24*q^362+6292*p^53*q^332+1394460*p^51*q^334+76897226*p^49*q^336+1279447150*p^47 *q^338+9843095006*p^45*q^340+46565372072*p^43*q^342+101121302214*p^41*q^344+ 72137413239*p^39*q^346+17257346658*p^37*q^348+2316033800*p^35*q^350+274998396*p ^33*q^352+23838654*p^31*q^354+3194508*p^29*q^356+95520*p^27*q^358+16*p^25*q^360 +956*p^54*q^330+66270*p^52*q^332+9160994*p^50*q^334+322988921*p^48*q^336+ 3452017360*p^46*q^338+21704909719*p^44*q^340+74640916658*p^42*q^342+98934428508 *p^40*q^344+40695543860*p^38*q^346+6837818822*p^36*q^348+825682330*p^34*q^350+ 98033155*p^32*q^352+8880500*p^30*q^354+793665*p^28*q^356+4664*p^26*q^358+4*p^24 *q^360+4413*p^53*q^330+975340*p^51*q^332+57394483*p^49*q^334+1070556698*p^47*q^ 336+8546939712*p^45*q^338+42056931770*p^43*q^340+96543254107*p^41*q^342+ 74193012334*p^39*q^344+18697714067*p^37*q^346+2556151656*p^35*q^348+294579868*p ^33*q^350+27907530*p^31*q^352+3451665*p^29*q^354+85008*p^27*q^356+160*p^25*q^ 358+84*p^54*q^328+53432*p^52*q^330+6653605*p^50*q^332+254492448*p^48*q^334+ 2944179644*p^46*q^336+19114359780*p^44*q^338+68840614165*p^42*q^340+97732404736 *p^40*q^342+43165563311*p^38*q^344+7523992350*p^36*q^346+918643652*p^34*q^348+ 111805060*p^32*q^350+8765268*p^30*q^352+1068160*p^28*q^354+18232*p^26*q^356+ 5644*p^53*q^328+564024*p^51*q^330+41056756*p^49*q^332+876818744*p^47*q^334+ 7365749418*p^45*q^336+37709098670*p^43*q^338+91976178352*p^41*q^340+75932771571 *p^39*q^342+20352784934*p^37*q^344+2817715417*p^35*q^346+323320942*p^33*q^348+ 32845165*p^31*q^350+3894134*p^29*q^352+149313*p^27*q^354+192*p^25*q^356+80*p^54 *q^326+29203*p^52*q^328+4607548*p^50*q^330+196792166*p^48*q^332+2505338078*p^46 *q^334+16793652588*p^44*q^336+63433415678*p^42*q^338+96303072985*p^40*q^340+ 45584518006*p^38*q^342+8262945651*p^36*q^344+1019467106*p^34*q^346+121736810*p^ 32*q^348+9009570*p^30*q^350+1224128*p^28*q^352+14818*p^26*q^354+1852*p^53*q^326 +348922*p^51*q^328+29273309*p^49*q^330+718929368*p^47*q^332+6355659689*p^45*q^ 334+33772440380*p^43*q^336+87108982587*p^41*q^338+77414081908*p^39*q^340+ 21961526156*p^37*q^342+3108340044*p^35*q^344+354161779*p^33*q^346+39981946*p^31 *q^348+3999094*p^29*q^350+253808*p^27*q^352+2040*p^25*q^354+4*p^54*q^324+23648* p^52*q^326+3236492*p^50*q^328+150808798*p^48*q^330+2119195045*p^46*q^332+ 14696422136*p^44*q^334+58108323489*p^42*q^336+94290825520*p^40*q^338+ 48009619882*p^38*q^340+9059785444*p^36*q^342+1133667365*p^34*q^344+132084674*p^ 32*q^346+9795397*p^30*q^348+1443022*p^28*q^350+17384*p^26*q^352+1312*p^53*q^324 +235921*p^51*q^326+20798530*p^49*q^328+580538331*p^47*q^330+5452749862*p^45*q^ 332+30116574006*p^43*q^334+82118150460*p^41*q^336+78509212029*p^39*q^338+ 23760546650*p^37*q^340+3432495677*p^35*q^342+391865464*p^33*q^344+46733628*p^31 *q^346+3770908*p^29*q^348+353024*p^27*q^350+3388*p^25*q^352+16*p^54*q^322+16462 *p^52*q^324+2034260*p^50*q^326+112111215*p^48*q^328+1772866866*p^46*q^330+ 12824965428*p^44*q^332+53073204864*p^42*q^334+92031392983*p^40*q^336+ 50376227576*p^38*q^338+9946681721*p^36*q^340+1252146992*p^34*q^342+143198232*p^ 32*q^344+11607490*p^30*q^346+1798008*p^28*q^348+39276*p^26*q^350+80*p^24*q^352+ 226*p^53*q^322+122492*p^51*q^324+14666002*p^49*q^326+463738236*p^47*q^328+ 4698711297*p^45*q^330+26818048854*p^43*q^332+77235601543*p^41*q^334+79277780428 *p^39*q^336+25492868492*p^37*q^338+3774790250*p^35*q^340+436024507*p^33*q^342+ 52323878*p^31*q^344+3547279*p^29*q^346+401198*p^27*q^348+968*p^25*q^350+11332*p ^52*q^322+1449432*p^50*q^324+84266684*p^48*q^326+1487977511*p^46*q^328+ 11148273556*p^44*q^330+48261588455*p^42*q^332+89156294222*p^40*q^334+ 52538552353*p^38*q^336+10894529402*p^36*q^338+1389565565*p^34*q^340+153253564*p ^32*q^342+15034694*p^30*q^344+1818880*p^28*q^346+72588*p^26*q^348+580*p^24*q^ 350+244*p^53*q^320+101372*p^51*q^322+10286792*p^49*q^324+362316689*p^47*q^326+ 3989421484*p^45*q^328+23748654382*p^43*q^330+72176349830*p^41*q^332+79755792760 *p^39*q^334+27480286908*p^37*q^336+4165761290*p^35*q^338+487929440*p^33*q^340+ 59718706*p^31*q^342+3269124*p^29*q^344+602954*p^27*q^346+3796*p^25*q^348+6*p^54 *q^318+4312*p^52*q^320+811304*p^50*q^322+59878542*p^48*q^324+1227845112*p^46*q^ 326+9686032477*p^44*q^328+43760626156*p^42*q^330+86285311230*p^40*q^332+ 54624188268*p^38*q^334+11893638520*p^36*q^336+1527777210*p^34*q^338+166215310*p ^32*q^340+17381748*p^30*q^342+1805133*p^28*q^344+94936*p^26*q^346+8*p^24*q^348+ 80*p^53*q^318+70566*p^51*q^320+7156071*p^49*q^322+286231022*p^47*q^324+ 3410033905*p^45*q^326+21007850908*p^43*q^328+67281989570*p^41*q^330+79718650858 *p^39*q^332+29332216629*p^37*q^334+4597717078*p^35*q^336+544599229*p^33*q^338+ 63702874*p^31*q^340+4041170*p^29*q^342+714912*p^27*q^344+8662*p^25*q^346+44*p^ 23*q^348+2016*p^52*q^318+577760*p^50*q^320+44230992*p^48*q^322+1003661541*p^46* q^324+8375051526*p^44*q^326+39509280562*p^42*q^328+82772896394*p^40*q^330+ 56579825055*p^38*q^332+12978590080*p^36*q^334+1692277719*p^34*q^336+182659252*p ^32*q^338+21972000*p^30*q^340+1460444*p^28*q^342+134298*p^26*q^344+180*p^24*q^ 346+122*p^53*q^316+42086*p^51*q^318+4756520*p^49*q^320+215681249*p^47*q^322+ 2886010320*p^45*q^324+18471871195*p^43*q^326+62357806336*p^41*q^328+79419880899 *p^39*q^330+31336338588*p^37*q^332+5070893944*p^35*q^334+605947066*p^33*q^336+ 68551874*p^31*q^338+4668142*p^29*q^340+864680*p^27*q^342+19152*p^25*q^344+1740* p^52*q^316+387804*p^50*q^318+31193366*p^48*q^320+815180194*p^46*q^322+ 7220677025*p^44*q^324+35577792292*p^42*q^326+79393027179*p^40*q^328+58251676638 *p^38*q^330+14161809141*p^36*q^332+1857481220*p^34*q^334+203708676*p^32*q^336+ 24921542*p^30*q^338+1274290*p^28*q^340+198378*p^26*q^342+464*p^24*q^344+17138*p ^51*q^316+3121914*p^49*q^318+163714054*p^47*q^320+2432519196*p^45*q^322+ 16233273568*p^43*q^324+57633979693*p^41*q^326+78650837416*p^39*q^328+ 33266668609*p^37*q^330+5579023822*p^35*q^332+673945724*p^33*q^334+72445210*p^31 *q^336+6275580*p^29*q^338+836944*p^27*q^340+21848*p^25*q^342+1178*p^52*q^314+ 274344*p^50*q^316+22462432*p^48*q^318+655932017*p^46*q^320+6219389256*p^44*q^ 322+31893189378*p^42*q^324+75511888516*p^40*q^326+59822469989*p^38*q^328+ 15358165578*p^36*q^330+2055902945*p^34*q^332+227886004*p^32*q^334+28203476*p^30 *q^336+1184124*p^28*q^338+282909*p^26*q^340+2308*p^24*q^342+16262*p^51*q^314+ 2143592*p^49*q^316+121127673*p^47*q^318+2028478356*p^45*q^320+14178418423*p^43* q^322+52943826516*p^41*q^324+77548140933*p^39*q^326+35268207436*p^37*q^328+ 6159779678*p^35*q^330+747936456*p^33*q^332+77678504*p^31*q^334+8163674*p^29*q^ 336+693982*p^27*q^338+37576*p^25*q^340+4*p^23*q^342+356*p^52*q^312+143450*p^50* q^314+15165249*p^48*q^316+515490116*p^46*q^318+5320898585*p^44*q^320+ 28511586198*p^42*q^322+71694303997*p^40*q^324+61118073148*p^38*q^326+ 16704237401*p^36*q^328+2261316330*p^34*q^330+255354698*p^32*q^332+30691932*p^30 *q^334+1352818*p^28*q^336+378400*p^26*q^338+3852*p^24*q^340+9084*p^51*q^312+ 1435236*p^49*q^314+89559014*p^47*q^316+1690259091*p^45*q^318+12403530300*p^43*q ^320+48574790989*p^41*q^322+76065207684*p^39*q^324+37109653721*p^37*q^326+ 6759608772*p^35*q^328+822079930*p^33*q^330+83707810*p^31*q^332+9632962*p^29*q^ 334+531032*p^27*q^336+55771*p^25*q^338+88*p^23*q^340+16*p^52*q^310+103729*p^50* q^312+10871526*p^48*q^314+404529009*p^46*q^316+4549538754*p^44*q^318+ 25338805153*p^42*q^320+67614912800*p^40*q^322+62077612317*p^38*q^324+ 18058380064*p^36*q^326+2511683988*p^34*q^328+289109668*p^32*q^330+32968880*p^30 *q^332+2114752*p^28*q^334+358764*p^26*q^336+4326*p^24*q^338+8*p^53*q^308+6196*p ^51*q^310+959166*p^49*q^312+64512318*p^47*q^314+1386442744*p^45*q^316+ 10741210013*p^43*q^318+44311798790*p^41*q^320+74265875223*p^39*q^322+ 39069765102*p^37*q^324+7434720102*p^35*q^326+906951278*p^33*q^328+92698572*p^31 *q^330+11626632*p^29*q^332+310366*p^27*q^334+117300*p^25*q^336+632*p^23*q^338+ 60*p^52*q^308+65720*p^50*q^310+7053909*p^48*q^312+308059998*p^46*q^314+ 3856696449*p^44*q^316+22519752782*p^42*q^318+63573207283*p^40*q^320+62885216942 *p^38*q^322+19489886231*p^36*q^324+2771726820*p^34*q^326+322987854*p^32*q^328+ 34121020*p^30*q^330+2595094*p^28*q^332+362336*p^26*q^334+6118*p^24*q^336+8*p^53 *q^306+852*p^51*q^308+595072*p^49*q^310+46843096*p^47*q^312+1134594168*p^45*q^ 314+9336962718*p^43*q^316+40266766131*p^41*q^318+72232632508*p^39*q^320+ 40786902637*p^37*q^322+8148692846*p^35*q^324+991861028*p^33*q^326+103485632*p^ 31*q^328+13218200*p^29*q^330+432132*p^27*q^332+124110*p^25*q^334+236*p^23*q^336 +120*p^52*q^306+50482*p^50*q^308+5109384*p^48*q^310+235753779*p^46*q^312+ 3261971642*p^44*q^314+19882790428*p^42*q^316+59410248598*p^40*q^318+63227026074 *p^38*q^320+20952172482*p^36*q^322+3082322051*p^34*q^324+362204588*p^32*q^326+ 35840574*p^30*q^328+3496272*p^28*q^330+204728*p^26*q^332+23196*p^24*q^334+48*p^ 22*q^336+1104*p^51*q^306+409806*p^49*q^308+32622431*p^47*q^310+906922250*p^45*q ^312+8046515709*p^43*q^314+36422951184*p^41*q^316+69781604666*p^39*q^318+ 42614536720*p^37*q^320+8943537419*p^35*q^322+1095347700*p^33*q^324+117195706*p^ 31*q^326+14923200*p^29*q^328+559296*p^27*q^330+170024*p^25*q^332+324*p^23*q^334 +120*p^52*q^304+19276*p^50*q^306+3293246*p^48*q^308+174463210*p^46*q^310+ 2741975441*p^44*q^312+17513381452*p^42*q^314+55418944132*p^40*q^316+63385014680 *p^38*q^318+22473681252*p^36*q^320+3389664728*p^34*q^322+398892366*p^32*q^324+ 38020222*p^30*q^326+4163756*p^28*q^328+119634*p^26*q^330+30362*p^24*q^332+888*p ^51*q^304+289301*p^49*q^306+23089270*p^47*q^308+724211062*p^45*q^310+6927628034 *p^43*q^312+32898333169*p^41*q^314+67166627092*p^39*q^316+44097615339*p^37*q^ 318+9780557680*p^35*q^320+1214583334*p^33*q^322+133864890*p^31*q^324+15454330*p ^29*q^326+828872*p^27*q^328+160546*p^25*q^330+2440*p^23*q^332+16*p^52*q^302+ 10462*p^50*q^304+2210732*p^48*q^306+130547454*p^46*q^308+2281909380*p^44*q^310+ 15373389865*p^42*q^312+51312344890*p^40*q^314+63195180492*p^38*q^316+ 23987743854*p^36*q^318+3759199355*p^34*q^320+434723570*p^32*q^322+40969196*p^30 *q^324+5364322*p^28*q^326+107840*p^26*q^328+43628*p^24*q^330+964*p^51*q^302+ 194670*p^49*q^304+16391632*p^47*q^306+563886574*p^45*q^308+5933152087*p^43*q^ 310+29489342504*p^41*q^312+64316871190*p^39*q^314+45598921048*p^37*q^316+ 10681743617*p^35*q^318+1350390232*p^33*q^320+154386942*p^31*q^322+16284760*p^29 *q^324+1034848*p^27*q^326+90144*p^25*q^328+6032*p^23*q^330+6*p^52*q^300+6974*p^ 50*q^302+1481364*p^48*q^304+93214034*p^46*q^306+1885158640*p^44*q^308+ 13429720386*p^42*q^310+47407710818*p^40*q^312+62734604260*p^38*q^314+ 25590465848*p^36*q^316+4145007998*p^34*q^318+475896420*p^32*q^320+45100218*p^30 *q^322+6271286*p^28*q^324+150108*p^26*q^326+74974*p^24*q^328+96*p^22*q^330+428* p^51*q^300+84069*p^49*q^302+10851420*p^47*q^304+438288873*p^45*q^306+5067054364 *p^43*q^308+26439066666*p^41*q^310+61333558836*p^39*q^312+46814809486*p^37*q^ 314+11621194248*p^35*q^316+1490756776*p^33*q^318+172365768*p^31*q^320+16427296* p^29*q^322+1353824*p^27*q^324+46540*p^25*q^326+5292*p^23*q^328+5676*p^50*q^300+ 1177976*p^48*q^302+69369851*p^46*q^304+1545496676*p^44*q^306+11708656071*p^42*q ^308+43527219326*p^40*q^310+61820795322*p^38*q^312+27099836290*p^36*q^314+ 4581000911*p^34*q^316+525501822*p^32*q^318+52234798*p^30*q^320+6989644*p^28*q^ 322+230724*p^26*q^324+60536*p^24*q^326+836*p^22*q^328+202*p^51*q^298+60154*p^49 *q^300+7398557*p^47*q^302+330942184*p^45*q^304+4281847728*p^43*q^306+ 23502385682*p^41*q^308+58142893508*p^39*q^310+47987033778*p^37*q^312+ 12657177442*p^35*q^314+1666192236*p^33*q^316+190881506*p^31*q^318+16938948*p^29 *q^320+1939938*p^27*q^322+21248*p^25*q^324+19624*p^23*q^326+4358*p^50*q^298+ 627133*p^48*q^300+48236450*p^46*q^302+1244273049*p^44*q^304+10174287142*p^42*q^ 306+39893536543*p^40*q^308+60820568906*p^38*q^310+28658800185*p^36*q^312+ 5032308186*p^34*q^314+576335846*p^32*q^316+61108796*p^30*q^318+7306416*p^28*q^ 320+235496*p^26*q^322+43016*p^24*q^324+200*p^22*q^326+40*p^51*q^296+32994*p^49* q^298+5475306*p^47*q^300+251177731*p^45*q^302+3630343246*p^43*q^304+20888336728 *p^41*q^306+54901169266*p^39*q^308+48754016530*p^37*q^310+13704963298*p^35*q^ 312+1842339110*p^33*q^314+208660690*p^31*q^316+17138664*p^29*q^318+2457640*p^27 *q^320+46382*p^25*q^322+23628*p^23*q^324+52*p^21*q^326+2746*p^50*q^296+419340*p ^48*q^298+34056235*p^46*q^300+992999410*p^44*q^302+8775576626*p^42*q^304+ 36309622688*p^40*q^306+59386783476*p^38*q^308+30165079510*p^36*q^310+5558878085 *p^34*q^312+641299914*p^32*q^314+71511593*p^30*q^316+7842500*p^28*q^318+415420* p^26*q^320+10748*p^24*q^322+2660*p^22*q^324+4*p^51*q^294+29166*p^49*q^296+ 3723372*p^47*q^298+186366996*p^45*q^300+3028603694*p^43*q^302+18457890114*p^41* q^304+51547879052*p^39*q^306+49468191762*p^37*q^308+14805099110*p^35*q^310+ 2050200884*p^33*q^312+227237692*p^31*q^314+18977914*p^29*q^316+2793850*p^27*q^ 318+34810*p^25*q^320+26568*p^23*q^322+1060*p^50*q^294+232480*p^48*q^296+ 23747936*p^46*q^298+780498377*p^44*q^300+7558729738*p^42*q^302+32955416221*p^40 *q^304+57773484504*p^38*q^306+31644534678*p^36*q^308+6110234790*p^34*q^310+ 712202392*p^32*q^312+81225592*p^30*q^314+7517792*p^28*q^316+630032*p^26*q^318+ 6668*p^24*q^320+5472*p^22*q^322+16*p^51*q^292+21242*p^49*q^294+2374110*p^47*q^ 296+136272890*p^45*q^298+2518269314*p^43*q^300+16275797872*p^41*q^302+ 48262622586*p^39*q^304+49810359788*p^37*q^306+15964692816*p^35*q^308+2256148460 *p^33*q^310+248439750*p^31*q^312+22386069*p^29*q^314+3268108*p^27*q^316+57304*p ^25*q^318+13220*p^23*q^320+132*p^21*q^322+112*p^50*q^292+167706*p^48*q^294+ 17467200*p^46*q^296+610108776*p^44*q^298+6484948011*p^42*q^300+29750005248*p^40 *q^302+55853553862*p^38*q^304+32970853896*p^36*q^306+6701820824*p^34*q^308+ 798167392*p^32*q^310+90164046*p^30*q^312+6870950*p^28*q^314+832268*p^26*q^316+ 6960*p^24*q^318+8544*p^22*q^320+13220*p^49*q^292+1543655*p^47*q^294+98114816*p^ 45*q^296+2056658841*p^43*q^298+14239435874*p^41*q^300+44862668930*p^39*q^302+ 50024086906*p^37*q^304+17159370881*p^35*q^306+2521676126*p^33*q^308+270740275*p ^31*q^310+27564794*p^29*q^312+3766110*p^27*q^314+110012*p^25*q^316+1360*p^23*q^ 318+788*p^21*q^320+6*p^52*q^288+272*p^50*q^290+124426*p^48*q^292+11690058*p^46* q^294+464677730*p^44*q^296+5532068824*p^42*q^298+26781000667*p^40*q^300+ 53835345092*p^38*q^302+34326011250*p^36*q^304+7343282708*p^34*q^306+880878636*p ^32*q^308+99808938*p^30*q^310+6749910*p^28*q^312+987692*p^26*q^314+4104*p^24*q^ 316+9636*p^22*q^318+3166*p^49*q^290+947950*p^47*q^292+71011951*p^45*q^294+ 1680900140*p^43*q^296+12455565708*p^41*q^298+41581820468*p^39*q^300+49852128216 *p^37*q^302+18354382300*p^35*q^304+2771637295*p^33*q^306+300853388*p^31*q^308+ 31908044*p^29*q^310+3486260*p^27*q^312+183252*p^25*q^314+1336*p^23*q^316+1248*p ^21*q^318+32*p^50*q^288+94976*p^48*q^290+8263058*p^46*q^292+354172212*p^44*q^ 294+4681547256*p^42*q^296+23992118484*p^40*q^298+51486492753*p^38*q^300+ 35447746618*p^36*q^302+8051588899*p^34*q^304+987537010*p^32*q^306+107890345*p^ 30*q^308+7852560*p^28*q^310+1422486*p^26*q^312+12732*p^24*q^314+1592*p^22*q^316 +56*p^20*q^318+90*p^51*q^286+2748*p^49*q^288+698288*p^47*q^290+50845046*p^45*q^ 292+1339526360*p^43*q^294+10819154976*p^41*q^296+38289630085*p^39*q^298+ 49548180142*p^37*q^300+19601474707*p^35*q^302+3074320530*p^33*q^304+333315491*p ^31*q^306+37571102*p^29*q^308+3116568*p^27*q^310+228600*p^25*q^312+84*p^23*q^ 314+3796*p^21*q^316+18*p^50*q^286+43236*p^48*q^288+5158320*p^46*q^290+261167471 *p^44*q^292+3933784070*p^42*q^294+21395589224*p^40*q^296+49155184968*p^38*q^298 +36516687980*p^36*q^300+8772882710*p^34*q^302+1099802282*p^32*q^304+116501272*p ^30*q^306+9320148*p^28*q^308+1587748*p^26*q^310+25304*p^24*q^312+136*p^22*q^314 +56*p^20*q^316+1052*p^49*q^286+485626*p^47*q^288+36628532*p^45*q^290+1069597014 *p^43*q^292+9402844632*p^41*q^294+35180829490*p^39*q^296+48906865460*p^37*q^298 +20812027914*p^35*q^300+3388033756*p^33*q^302+369565676*p^31*q^304+42440742*p^ 29*q^306+2625160*p^27*q^308+351100*p^25*q^310+872*p^23*q^312+1430*p^21*q^314+ 574*p^50*q^284+24352*p^48*q^286+3714076*p^46*q^288+194502824*p^44*q^290+ 3279996973*p^42*q^292+18950768922*p^40*q^294+46544497573*p^38*q^296+37353748924 *p^36*q^298+9573591852*p^34*q^300+1220354908*p^32*q^302+127843750*p^30*q^304+ 11665166*p^28*q^306+1718986*p^26*q^308+46096*p^24*q^310+758*p^20*q^314+340*p^49 *q^284+335335*p^47*q^286+24946690*p^45*q^288+830990875*p^43*q^290+8078432128*p^ 41*q^292+32142793939*p^39*q^294+48103092632*p^37*q^296+22071543685*p^35*q^298+ 3752816702*p^33*q^300+416762282*p^31*q^302+46721260*p^29*q^304+2593038*p^27*q^ 306+492032*p^25*q^308+1672*p^23*q^310+4*p^21*q^312+180*p^50*q^282+13812*p^48*q^ 284+2389594*p^46*q^286+142168400*p^44*q^288+2706082710*p^42*q^290+16788011467*p ^40*q^292+43889776532*p^38*q^294+38138547273*p^36*q^296+10369125574*p^34*q^298+ 1351748374*p^32*q^300+137286444*p^30*q^302+14381158*p^28*q^304+1472524*p^26*q^ 306+58008*p^24*q^308+20*p^22*q^310+728*p^20*q^312+2132*p^49*q^282+188044*p^47*q ^284+17486376*p^45*q^286+642384710*p^43*q^288+6940070397*p^41*q^290+29216757420 *p^39*q^292+47032775265*p^37*q^294+23235794452*p^35*q^296+4140753638*p^33*q^298 +467286168*p^31*q^300+51392372*p^29*q^302+2889040*p^27*q^304+665802*p^25*q^306+ 6728*p^23*q^308+60*p^19*q^312+8*p^50*q^280+4550*p^48*q^282+1775615*p^46*q^284+ 103572786*p^44*q^286+2217367409*p^42*q^288+14776204810*p^40*q^290+41204633599*p ^38*q^292+38562142676*p^36*q^294+11263725702*p^34*q^296+1493958124*p^32*q^298+ 152218514*p^30*q^300+16702278*p^28*q^302+1157080*p^26*q^304+99804*p^24*q^306+32 *p^22*q^308+2294*p^49*q^280+121518*p^47*q^282+12049484*p^45*q^284+487122932*p^ 43*q^286+5892891986*p^41*q^288+26396370186*p^39*q^290+45736564068*p^37*q^292+ 24425444197*p^35*q^294+4571204362*p^33*q^296+524495613*p^31*q^298+55262826*p^29 *q^300+3944552*p^27*q^302+771840*p^25*q^304+8752*p^23*q^306+210*p^19*q^310+7038 *p^48*q^280+1161686*p^46*q^282+73016478*p^44*q^284+1781977226*p^42*q^286+ 12948499668*p^40*q^288+38554964158*p^38*q^290+39006732281*p^36*q^292+ 12140569134*p^34*q^294+1662636823*p^32*q^296+168824276*p^30*q^298+19465720*p^28 *q^300+876424*p^26*q^302+156408*p^24*q^304+460*p^22*q^306+262*p^49*q^278+48374* p^47*q^280+8072553*p^45*q^282+369166038*p^43*q^284+5000564480*p^41*q^286+ 23815568266*p^39*q^288+44203570128*p^37*q^290+25492833192*p^35*q^292+5016852486 *p^33*q^294+579189210*p^31*q^296+58604540*p^29*q^298+4812100*p^27*q^300+673752* p^25*q^302+12524*p^23*q^304+8*p^50*q^276+12608*p^48*q^278+805351*p^46*q^280+ 53666388*p^44*q^282+1426114228*p^42*q^284+11283864412*p^40*q^286+35746927520*p^ 38*q^288+39113008124*p^36*q^290+13083783839*p^34*q^292+1843226210*p^32*q^294+ 192997443*p^30*q^296+22096758*p^28*q^298+913830*p^26*q^300+266900*p^24*q^302+ 1424*p^22*q^304+32*p^18*q^308+164*p^49*q^276+38188*p^47*q^278+5833768*p^45*q^ 280+270971124*p^43*q^282+4175631490*p^41*q^284+21320634027*p^39*q^286+ 42565023902*p^37*q^288+26521982748*p^35*q^290+5533850954*p^33*q^292+648132496*p ^31*q^294+62407554*p^29*q^296+6080044*p^27*q^298+570082*p^25*q^300+20972*p^23*q ^302+8*p^21*q^304+4618*p^48*q^276+405238*p^46*q^278+35900353*p^44*q^280+ 1119597036*p^42*q^282+9803784425*p^40*q^284+33110307728*p^38*q^286+39113181548* p^36*q^288+14034290232*p^34*q^290+2043727613*p^32*q^292+214516346*p^30*q^294+ 24380244*p^28*q^296+1128816*p^26*q^298+277082*p^24*q^300+804*p^22*q^302+104*p^ 49*q^274+46016*p^47*q^276+4160092*p^45*q^278+203134152*p^43*q^280+3483060972*p^ 41*q^282+19038892546*p^39*q^284+40734873458*p^37*q^286+27416069108*p^35*q^288+ 6040409786*p^33*q^290+715039428*p^31*q^292+68449303*p^29*q^294+7289080*p^27*q^ 296+343376*p^25*q^298+58956*p^23*q^300+144*p^21*q^302+2*p^17*q^306+2508*p^48*q^ 274+260322*p^46*q^276+25825060*p^44*q^278+868665888*p^42*q^280+8445702822*p^40* q^282+30425313222*p^38*q^284+38772914212*p^36*q^286+15020785571*p^34*q^288+ 2275121616*p^32*q^290+245395897*p^30*q^292+25802438*p^28*q^294+1499094*p^26*q^ 296+329336*p^24*q^298+1444*p^22*q^300+24*p^49*q^272+36164*p^47*q^274+2642246*p^ 45*q^276+146193950*p^43*q^278+2856224488*p^41*q^280+16898701238*p^39*q^282+ 38791797248*p^37*q^284+28299816452*p^35*q^286+6629003628*p^33*q^288+792395935*p ^31*q^290+75101188*p^29*q^292+8951336*p^27*q^294+271642*p^25*q^296+72350*p^23*q ^298+12*p^21*q^300+910*p^48*q^272+193634*p^46*q^274+18285779*p^44*q^276+ 663792060*p^42*q^278+7243088098*p^40*q^280+27865974736*p^38*q^282+38366889714*p ^36*q^284+15946796336*p^34*q^286+2522226776*p^32*q^288+273624078*p^30*q^290+ 27120644*p^28*q^292+1903572*p^26*q^294+262020*p^24*q^296+7672*p^22*q^298+4*p^20 *q^300+4*p^49*q^270+19906*p^47*q^272+1582252*p^45*q^274+104646102*p^43*q^276+ 2326530404*p^41*q^278+14952926870*p^39*q^280+36751636253*p^37*q^282+28996065610 *p^35*q^284+7228554569*p^33*q^286+880477502*p^31*q^288+84694938*p^29*q^290+ 10372978*p^27*q^292+296710*p^25*q^294+106818*p^23*q^296+28*p^21*q^298+488*p^48* q^270+171762*p^46*q^272+13229806*p^44*q^274+508294257*p^42*q^276+6164056048*p^ 40*q^278+25362089084*p^38*q^280+37623666202*p^36*q^282+16906229894*p^34*q^284+ 2787646060*p^32*q^286+305555428*p^30*q^288+28126788*p^28*q^290+2438430*p^26*q^ 292+143904*p^24*q^294+13728*p^22*q^296+9814*p^47*q^270+1100808*p^45*q^272+ 74724942*p^43*q^274+1858000234*p^41*q^276+13118165634*p^39*q^278+34607158144*p^ 37*q^280+29568067194*p^35*q^282+7898452074*p^33*q^284+984538555*p^31*q^286+ 98315594*p^29*q^288+11490206*p^27*q^290+418318*p^25*q^292+144646*p^23*q^294+476 *p^21*q^296+240*p^48*q^268+118760*p^46*q^270+8416699*p^44*q^272+375970996*p^42* q^274+5205657770*p^40*q^276+23017896892*p^38*q^278+36862854546*p^36*q^280+ 17864465534*p^34*q^282+3086003163*p^32*q^284+335570732*p^30*q^286+29148816*p^28 *q^288+3284832*p^26*q^290+75978*p^24*q^292+17400*p^22*q^294+4*p^49*q^266+4290*p ^47*q^268+732906*p^45*q^270+54485418*p^43*q^272+1479014367*p^41*q^274+ 11499503100*p^39*q^276+32440207699*p^37*q^278+29989205320*p^35*q^280+8519272815 *p^33*q^282+1091032412*p^31*q^284+112031684*p^29*q^286+12143958*p^27*q^288+ 486878*p^25*q^290+105768*p^23*q^292+1984*p^21*q^294+36*p^48*q^266+77362*p^46*q^ 268+5907750*p^44*q^270+279453882*p^42*q^272+4356775272*p^40*q^274+20708614240*p ^38*q^276+35745654322*p^36*q^278+18764513863*p^34*q^280+3424902802*p^32*q^282+ 374707684*p^30*q^284+32175942*p^28*q^286+4116398*p^26*q^288+81636*p^24*q^290+ 44552*p^22*q^292+8*p^20*q^294+8*p^49*q^264+3758*p^47*q^266+596172*p^45*q^268+ 38389354*p^43*q^270+1151935166*p^41*q^272+9966167474*p^39*q^274+30226520030*p^ 37*q^276+30292165719*p^35*q^278+9262458814*p^33*q^280+1214593915*p^31*q^282+ 127376600*p^29*q^284+12330438*p^27*q^286+737894*p^25*q^288+59682*p^23*q^290+ 1128*p^21*q^292+72*p^48*q^264+33202*p^46*q^266+3649278*p^44*q^268+202024452*p^ 42*q^270+3603536256*p^40*q^272+18621290718*p^38*q^274+34612721291*p^36*q^276+ 19624715238*p^34*q^278+3770187295*p^32*q^280+415079262*p^30*q^282+36475914*p^28 *q^284+4783928*p^26*q^286+79900*p^24*q^288+48640*p^22*q^290+160*p^20*q^292+984* p^47*q^264+424764*p^45*q^266+26936424*p^43*q^268+895822874*p^41*q^270+ 8638231048*p^39*q^272+28038040305*p^37*q^274+30374880706*p^35*q^276+9949549948* p^33*q^278+1357630734*p^31*q^280+140564598*p^29*q^282+12090786*p^27*q^284+ 1086084*p^25*q^286+20454*p^23*q^288+7376*p^21*q^290+116*p^48*q^262+29190*p^46*q ^264+2747866*p^44*q^266+150064586*p^42*q^268+2944996244*p^40*q^270+16577770803* p^38*q^272+33221325116*p^36*q^274+20426818804*p^34*q^276+4152716884*p^32*q^278+ 458348865*p^30*q^280+43904266*p^28*q^282+5370758*p^26*q^284+114136*p^24*q^286+ 44796*p^22*q^288+16*p^20*q^290+720*p^47*q^262+239324*p^45*q^264+18142795*p^43*q ^266+674052696*p^41*q^268+7389270024*p^39*q^270+25846745112*p^37*q^272+ 30351944501*p^35*q^274+10723038164*p^33*q^276+1515407891*p^31*q^278+159769562*p ^29*q^280+11768412*p^27*q^282+1451698*p^25*q^284+13986*p^23*q^286+12544*p^21*q^ 288+4*p^19*q^290+32*p^48*q^260+13648*p^46*q^262+1975446*p^44*q^264+107520966*p^ 42*q^266+2387075633*p^40*q^268+14738205168*p^38*q^270+31805231980*p^36*q^272+ 21165767796*p^34*q^274+4559227613*p^32*q^276+509860444*p^30*q^278+49306846*p^28 *q^280+5766332*p^26*q^282+197066*p^24*q^284+17208*p^22*q^286+540*p^20*q^288+6*p ^49*q^258+808*p^47*q^260+160432*p^45*q^262+12387090*p^43*q^264+510883868*p^41*q ^266+6297809274*p^39*q^268+23700078422*p^37*q^270+30141614264*p^35*q^272+ 11440156026*p^33*q^274+1688154164*p^31*q^276+173731704*p^29*q^278+13543388*p^27 *q^280+1770034*p^25*q^282+11372*p^23*q^284+18092*p^21*q^286+6872*p^46*q^260+ 1344154*p^44*q^262+77441299*p^42*q^264+1905779754*p^40*q^266+12989002585*p^38*q ^268+30210867842*p^36*q^270+21796655817*p^34*q^272+5001912802*p^32*q^274+ 570468378*p^30*q^276+58103124*p^28*q^278+5171906*p^26*q^280+325828*p^24*q^282+ 3130*p^22*q^284+1916*p^20*q^286+688*p^47*q^258+113552*p^45*q^260+8982918*p^43*q ^262+380884990*p^41*q^264+5291784103*p^39*q^266+21616483882*p^37*q^268+ 29706572432*p^35*q^270+12231334216*p^33*q^272+1875353000*p^31*q^274+192469936*p ^29*q^276+15231024*p^27*q^278+2333534*p^25*q^280+24162*p^23*q^282+14540*p^21*q^ 284+8*p^19*q^286+90*p^48*q^256+4916*p^46*q^258+833062*p^44*q^260+53025128*p^42* q^262+1492867087*p^40*q^264+11403300262*p^38*q^266+28572440606*p^36*q^268+ 22399741960*p^34*q^270+5475032726*p^32*q^272+640055904*p^30*q^274+65792536*p^28 *q^276+4904768*p^26*q^278+423610*p^24*q^280+792*p^22*q^282+3484*p^20*q^284+50*p ^47*q^256+56274*p^45*q^258+6168886*p^43*q^260+282866195*p^41*q^262+4439633370*p ^39*q^264+19645686061*p^37*q^266+29230264684*p^35*q^268+12914127654*p^33*q^270+ 2080137274*p^31*q^272+209604185*p^29*q^274+18122120*p^27*q^276+2476074*p^25*q^ 278+48626*p^23*q^280+2076*p^21*q^282+164*p^19*q^284+5756*p^46*q^256+637766*p^44 *q^258+38921766*p^42*q^260+1165531724*p^40*q^262+9923636933*p^38*q^264+ 26801099106*p^36*q^266+22780674146*p^34*q^268+5972483052*p^32*q^270+719806217*p ^30*q^272+73741774*p^28*q^274+4835864*p^26*q^276+631260*p^24*q^278+1878*p^22*q^ 280+6784*p^20*q^282+594*p^47*q^254+36622*p^45*q^256+4200498*p^43*q^258+ 203673914*p^41*q^260+3636425232*p^39*q^262+17674209044*p^37*q^264+28539682125*p ^35*q^266+13715294354*p^33*q^268+2311582067*p^31*q^270+234031086*p^29*q^272+ 22155917*p^27*q^274+2435504*p^25*q^276+81874*p^23*q^278+64*p^21*q^280+260*p^19* q^282+1616*p^46*q^254+372344*p^44*q^256+26322132*p^42*q^258+894607310*p^40*q^ 260+8600988608*p^38*q^262+25133654578*p^36*q^264+23131751468*p^34*q^266+ 6483685870*p^32*q^268+801587354*p^30*q^270+80502199*p^28*q^272+4935334*p^26*q^ 274+852852*p^24*q^276+4096*p^22*q^278+1988*p^20*q^280+4*p^18*q^282+152*p^47*q^ 252+29590*p^45*q^254+2935558*p^43*q^256+150155288*p^41*q^258+2975479372*p^39*q^ 260+15879743361*p^37*q^262+27643169488*p^35*q^264+14381870861*p^33*q^266+ 2557642008*p^31*q^268+261607263*p^29*q^270+25867508*p^27*q^272+2211200*p^25*q^ 274+112542*p^23*q^276+60*p^21*q^278+1616*p^19*q^280+2528*p^46*q^252+255166*p^44 *q^254+18929145*p^42*q^256+678238468*p^40*q^258+7373370641*p^38*q^260+ 23301839772*p^36*q^262+23363816462*p^34*q^264+7021736982*p^32*q^266+903098798*p ^30*q^268+87735096*p^28*q^270+6291926*p^26*q^272+1028100*p^24*q^274+11846*p^22* q^276+4*p^20*q^278+4*p^18*q^280+18826*p^45*q^252+2010608*p^43*q^254+106423936*p ^41*q^256+2388520033*p^39*q^258+14134734348*p^37*q^260+26705122448*p^35*q^262+ 15054997970*p^33*q^264+2832871688*p^31*q^266+292114388*p^29*q^268+30174856*p^27 *q^270+1741948*p^25*q^272+191408*p^23*q^274+198*p^21*q^276+1144*p^19*q^278+3*p^ 48*q^248+1992*p^46*q^250+150816*p^44*q^252+12910698*p^42*q^254+507369563*p^40*q ^256+6257654624*p^38*q^258+21562498221*p^36*q^260+23434917378*p^34*q^262+ 7603892655*p^32*q^264+1003847962*p^30*q^266+96353578*p^28*q^268+7450914*p^26*q^ 270+1131338*p^24*q^272+16236*p^22*q^274+168*p^18*q^278+10976*p^45*q^250+1376074 *p^43*q^252+75893305*p^41*q^254+1903194586*p^39*q^256+12564046802*p^37*q^258+ 25626314140*p^35*q^260+15658467137*p^33*q^262+3117528836*p^31*q^264+330351675*p ^29*q^266+33390342*p^27*q^268+1767828*p^25*q^270+273236*p^23*q^272+928*p^21*q^ 274+126*p^46*q^248+120790*p^44*q^250+9173654*p^42*q^252+380825634*p^40*q^254+ 5270387927*p^38*q^256+19758065480*p^36*q^258+23359455696*p^34*q^260+8158403438* p^32*q^262+1125451764*p^30*q^264+104329718*p^28*q^266+9570720*p^26*q^268+942848 *p^24*q^270+27298*p^22*q^272+8*p^20*q^274+364*p^18*q^276+53*p^47*q^246+12518*p^ 45*q^248+886460*p^43*q^250+54235158*p^41*q^252+1479205522*p^39*q^254+ 11020478664*p^37*q^256+24452825138*p^35*q^258+16256742748*p^33*q^260+3444668507 *p^31*q^262+374918462*p^29*q^264+37733110*p^27*q^266+1846294*p^25*q^268+418580* p^23*q^270+2344*p^21*q^272+4*p^17*q^276+3*p^48*q^244+176*p^46*q^246+66390*p^44* q^248+6276234*p^42*q^250+274907108*p^40*q^252+4387262520*p^38*q^254+18083941088 *p^36*q^256+23159844010*p^34*q^258+8748847032*p^32*q^260+1247044594*p^30*q^262+ 115299278*p^28*q^264+11084230*p^26*q^266+812686*p^24*q^268+43000*p^22*q^270+24* p^20*q^272+8*p^47*q^244+3158*p^45*q^246+595318*p^43*q^248+37822294*p^41*q^250+ 1157358912*p^39*q^252+9640100657*p^37*q^254+23183540540*p^35*q^256+16745301657* p^33*q^258+3776765556*p^31*q^260+420966158*p^29*q^262+40201362*p^27*q^264+ 2394206*p^25*q^266+425776*p^23*q^268+2252*p^21*q^270+60*p^17*q^274+383*p^46*q^ 244+58404*p^44*q^246+4547893*p^42*q^248+204127238*p^40*q^250+3601019788*p^38*q^ 252+16392266634*p^36*q^254+22837859805*p^34*q^256+9297172530*p^32*q^258+ 1396584312*p^30*q^260+130778834*p^28*q^262+13674449*p^26*q^264+596164*p^24*q^ 266+97674*p^22*q^268+236*p^20*q^270+53*p^47*q^242+2684*p^45*q^244+407324*p^43*q ^246+26640186*p^41*q^248+874884006*p^39*q^250+8335415722*p^37*q^252+21830565364 *p^35*q^254+17177956694*p^33*q^256+4160830283*p^31*q^258+473024300*p^29*q^260+ 42600701*p^27*q^262+3002346*p^25*q^264+452148*p^23*q^266+4072*p^21*q^268+192*p^ 46*q^242+29946*p^44*q^244+2856732*p^42*q^246+144603720*p^40*q^248+2922864222*p^ 38*q^250+14800070408*p^36*q^252+22424754062*p^34*q^254+9909559385*p^32*q^256+ 1542690386*p^30*q^258+148345780*p^28*q^260+15640892*p^26*q^262+525784*p^24*q^ 264+125352*p^22*q^266+100*p^20*q^268+4*p^16*q^272+1812*p^45*q^242+268878*p^43*q ^244+19213506*p^41*q^246+667246020*p^39*q^248+7169771658*p^37*q^250+20460357718 *p^35*q^252+17459967596*p^33*q^254+4519205366*p^31*q^256+529342137*p^29*q^258+ 45338234*p^27*q^260+3787894*p^25*q^262+365798*p^23*q^264+13296*p^21*q^266+8*p^ 19*q^268+399*p^46*q^240+20760*p^44*q^242+2097772*p^42*q^244+104875332*p^40*q^ 246+2340987321*p^38*q^248+13239119686*p^36*q^250+21806618773*p^34*q^252+ 10467975144*p^32*q^254+1734066457*p^30*q^256+170178942*p^28*q^258+17253475*p^26 *q^260+697492*p^24*q^262+162978*p^22*q^264+244*p^20*q^266+1776*p^45*q^240+ 183288*p^43*q^242+13157286*p^41*q^244+493712260*p^39*q^246+6074487974*p^37*q^ 248+19048657873*p^35*q^250+17746896780*p^33*q^252+4926113301*p^31*q^254+ 590202490*p^29*q^256+49908438*p^27*q^258+5049472*p^25*q^260+199392*p^23*q^262+ 25124*p^21*q^264+4*p^19*q^266+88*p^46*q^238+11802*p^44*q^240+1328434*p^42*q^242 +74083381*p^40*q^244+1850904492*p^38*q^246+11793217823*p^36*q^248+21157364966*p ^34*q^250+11005216597*p^32*q^252+1919730162*p^30*q^254+193071014*p^28*q^256+ 17892098*p^26*q^258+777129*p^24*q^260+204852*p^22*q^262+892*p^20*q^264+1978*p^ 45*q^238+116696*p^43*q^240+9285947*p^41*q^242+367275172*p^39*q^244+5105411902*p ^37*q^246+17636463370*p^35*q^248+17844852116*p^33*q^250+5345705686*p^31*q^252+ 657518364*p^29*q^254+56279438*p^27*q^256+6185981*p^25*q^258+174142*p^23*q^260+ 31820*p^21*q^262+12*p^19*q^264+9000*p^44*q^238+917510*p^42*q^240+53560042*p^40* q^242+1443248823*p^38*q^244+10407630994*p^36*q^246+20327454413*p^34*q^248+ 11515848908*p^32*q^250+2130639830*p^30*q^252+218102940*p^28*q^254+18574182*p^26 *q^256+1181556*p^24*q^258+137784*p^22*q^260+3528*p^20*q^262+1322*p^45*q^236+ 87509*p^43*q^238+6400972*p^41*q^240+267930642*p^39*q^242+4232686510*p^37*q^244+ 16182604793*p^35*q^246+17925657506*p^33*q^248+5778048787*p^31*q^250+742096140*p ^29*q^252+65401259*p^27*q^254+7135378*p^25*q^256+138655*p^23*q^258+68040*p^21*q ^260+20*p^19*q^262+9188*p^44*q^236+582954*p^42*q^238+37414768*p^40*q^240+ 1105152798*p^38*q^242+9105387373*p^36*q^244+19488624116*p^34*q^246+11994114472* p^32*q^248+2357149282*p^30*q^250+242976399*p^28*q^252+19083414*p^26*q^254+ 1663836*p^24*q^256+85284*p^22*q^258+3128*p^20*q^260+94*p^45*q^234+40306*p^43*q^ 236+4225021*p^41*q^238+194314818*p^39*q^240+3483220985*p^37*q^242+14814925970*p ^35*q^244+17805184695*p^33*q^246+6218907646*p^31*q^248+823862890*p^29*q^250+ 75172826*p^27*q^252+7591964*p^25*q^254+190828*p^23*q^256+69860*p^21*q^258+274*p ^19*q^260+4*p^46*q^232+8762*p^44*q^234+482801*p^42*q^236+27320742*p^40*q^238+ 850412607*p^38*q^240+7878534644*p^36*q^242+18479239503*p^34*q^244+12401243162*p ^32*q^246+2603142486*p^30*q^248+273314172*p^28*q^250+20957205*p^26*q^252+ 2258644*p^24*q^254+37890*p^22*q^256+12320*p^20*q^258+76*p^45*q^232+42444*p^43*q ^234+2817126*p^41*q^236+139541109*p^39*q^238+2786778366*p^37*q^240+13424339085* p^35*q^242+17664744068*p^33*q^244+6677624551*p^31*q^246+932996260*p^29*q^248+ 87014697*p^27*q^250+8013386*p^25*q^252+313850*p^23*q^254+56942*p^21*q^256+200*p ^19*q^258+2383*p^44*q^232+242778*p^42*q^234+18372385*p^40*q^236+631809872*p^38* q^238+6799398030*p^36*q^240+17491830560*p^34*q^242+12796568763*p^32*q^244+ 2858713202*p^30*q^246+302057600*p^28*q^248+23415226*p^26*q^250+2624332*p^24*q^ 252+20836*p^22*q^254+20178*p^20*q^256+8*p^18*q^258+52*p^45*q^230+38366*p^43*q^ 232+2091398*p^41*q^234+102428252*p^39*q^236+2242416852*p^37*q^238+12073289956*p ^35*q^240+17353937046*p^33*q^242+7103584886*p^31*q^244+1037340410*p^29*q^246+ 98790636*p^27*q^248+7721630*p^25*q^250+516004*p^23*q^252+25990*p^21*q^254+1034* p^19*q^256+1196*p^44*q^230+186185*p^42*q^232+12724396*p^40*q^234+470543344*p^38 *q^236+5735764532*p^36*q^238+16392749662*p^34*q^240+13077523832*p^32*q^242+ 3150371885*p^30*q^244+341831420*p^28*q^246+27744582*p^26*q^248+3246152*p^24*q^ 250+41868*p^22*q^252+24572*p^20*q^254+12*p^18*q^256+8*p^45*q^228+22001*p^43*q^ 230+1406670*p^41*q^232+72868375*p^39*q^234+1756821348*p^37*q^236+10793146716*p^ 35*q^238+16987245724*p^33*q^240+7561720398*p^31*q^242+1164599790*p^29*q^244+ 110146344*p^27*q^246+7849232*p^25*q^248+676598*p^23*q^250+3068*p^21*q^252+3360* p^19*q^254+530*p^44*q^228+151866*p^42*q^230+8552721*p^40*q^232+345818410*p^38*q ^234+4814505582*p^36*q^236+15296576314*p^34*q^238+13330426537*p^32*q^240+ 3437435316*p^30*q^242+382307854*p^28*q^244+33013568*p^26*q^246+3356301*p^24*q^ 248+78276*p^22*q^250+19562*p^20*q^252+20*p^18*q^254+10292*p^43*q^228+862902*p^ 41*q^230+51468088*p^39*q^232+1366400688*p^37*q^234+9572220394*p^35*q^236+ 16495702799*p^33*q^238+7986588542*p^31*q^240+1295359030*p^29*q^242+123116028*p^ 27*q^244+8127922*p^25*q^246+935656*p^23*q^248+4074*p^21*q^250+5406*p^19*q^252+ 192*p^44*q^226+115089*p^42*q^228+6408494*p^40*q^230+256516643*p^38*q^232+ 3987132282*p^36*q^234+14129989273*p^34*q^236+13461159544*p^32*q^238+3744725640* p^30*q^240+430937776*p^28*q^242+38091688*p^26*q^244+3386334*p^24*q^246+132918*p ^22*q^248+2960*p^20*q^250+320*p^18*q^252+5912*p^43*q^226+651896*p^41*q^228+ 35284142*p^39*q^230+1037663854*p^37*q^232+8362982271*p^35*q^234+15930416576*p^ 33*q^236+8406924866*p^31*q^238+1456275838*p^29*q^240+137860888*p^27*q^242+ 9746924*p^25*q^244+1205032*p^23*q^246+7060*p^21*q^248+9172*p^19*q^250+6*p^46*q^ 222+64*p^44*q^224+66836*p^42*q^226+4105441*p^40*q^228+185119316*p^38*q^230+ 3256677629*p^36*q^232+13031685296*p^34*q^234+13585877119*p^32*q^236+4069020596* p^30*q^238+484186669*p^28*q^240+43490742*p^26*q^242+3044730*p^24*q^244+182144*p ^22*q^246+252*p^20*q^248+508*p^18*q^250+1956*p^43*q^224+461618*p^41*q^226+ 25086392*p^39*q^228+791303877*p^37*q^230+7281680292*p^35*q^232+15256387895*p^33 *q^234+8759681842*p^31*q^236+1603130964*p^29*q^238+152954784*p^27*q^240+ 11377170*p^25*q^242+1393064*p^23*q^244+18790*p^21*q^246+2868*p^19*q^248+12*p^17 *q^250+8*p^44*q^222+44527*p^42*q^224+2939594*p^40*q^226+134445157*p^38*q^228+ 2616856558*p^36*q^230+11853215435*p^34*q^232+13549552624*p^32*q^234+4414936504* p^30*q^236+551156930*p^28*q^238+49882674*p^26*q^240+3014594*p^24*q^242+293151*p ^22*q^244+384*p^20*q^246+2294*p^18*q^248+90*p^45*q^220+1244*p^43*q^222+343880*p ^41*q^224+17657712*p^39*q^226+590239738*p^37*q^228+6227925008*p^35*q^230+ 14540411776*p^33*q^232+9129882328*p^31*q^234+1782847424*p^29*q^236+170551008*p^ 27*q^238+13731558*p^25*q^240+1460966*p^23*q^242+27136*p^21*q^244+8*p^19*q^246+ 14*p^17*q^248+17996*p^42*q^222+1874017*p^40*q^224+93272630*p^38*q^226+ 2073404878*p^36*q^228+10746461736*p^34*q^230+13498275839*p^32*q^232+4746139038* p^30*q^234+621224820*p^28*q^236+55501876*p^26*q^238+3176104*p^24*q^240+390600*p ^22*q^242+1532*p^20*q^244+1632*p^18*q^246+280*p^43*q^220+231264*p^41*q^222+ 12486636*p^39*q^224+444039776*p^37*q^226+5302513888*p^35*q^228+13758156580*p^33 *q^230+9431832376*p^31*q^232+1965192157*p^29*q^234+192085680*p^27*q^236+ 16288284*p^25*q^238+1275264*p^23*q^240+46503*p^21*q^242+16*p^19*q^244+260*p^17* q^246+558*p^44*q^218+11390*p^42*q^220+1460462*p^40*q^222+67602419*p^38*q^224+ 1621316480*p^36*q^226+9604407062*p^34*q^228+13276618730*p^32*q^230+5084550149*p ^30*q^232+698158910*p^28*q^234+61141642*p^26*q^236+3667270*p^24*q^238+564814*p^ 22*q^240+3612*p^20*q^242+58*p^43*q^218+133382*p^41*q^220+8212773*p^39*q^222+ 321919418*p^37*q^224+4414695783*p^35*q^226+12924430062*p^33*q^228+9723055211*p^ 31*q^230+2183537132*p^29*q^232+220045991*p^27*q^234+19445586*p^25*q^236+1208692 *p^23*q^238+67336*p^21*q^240+48*p^19*q^242+524*p^17*q^244+144*p^44*q^216+4712*p ^42*q^218+1010064*p^40*q^220+47845072*p^38*q^222+1253700248*p^36*q^224+ 8553756608*p^34*q^226+13048545018*p^32*q^228+5415490912*p^30*q^230+778493434*p^ 28*q^232+66268840*p^26*q^234+4422348*p^24*q^236+550764*p^22*q^238+4562*p^20*q^ 240+8*p^16*q^244+1880*p^43*q^216+73196*p^41*q^218+5742336*p^39*q^220+234474875* p^37*q^222+3653720076*p^35*q^224+12048191902*p^33*q^226+9922088064*p^31*q^228+ 2391158539*p^29*q^230+251827000*p^27*q^232+22367057*p^25*q^234+1023928*p^23*q^ 236+140028*p^21*q^238+340*p^19*q^240+1376*p^42*q^216+697706*p^40*q^218+33994994 *p^38*q^220+961907028*p^36*q^222+7501863637*p^34*q^224+12687329928*p^32*q^226+ 5754431358*p^30*q^228+872552032*p^28*q^230+74133848*p^26*q^232+5557514*p^24*q^ 234+590828*p^22*q^236+7364*p^20*q^238+88*p^16*q^242+1764*p^43*q^214+45408*p^41* q^216+4216056*p^39*q^218+168995904*p^37*q^220+2952135744*p^35*q^222+11131752324 *p^33*q^224+10084743740*p^31*q^226+2624498994*p^29*q^228+286151338*p^27*q^230+ 24481218*p^25*q^232+1101660*p^23*q^234+172488*p^21*q^236+276*p^19*q^238+4252*p^ 42*q^214+406351*p^40*q^216+22648010*p^38*q^218+719931462*p^36*q^220+6525206712* p^34*q^222+12308776185*p^32*q^224+6083328650*p^30*q^226+981188265*p^28*q^228+ 83635876*p^26*q^230+7148740*p^24*q^232+482352*p^22*q^234+20134*p^20*q^236+12*p^ 18*q^238+p^45*q^210+108*p^43*q^212+16323*p^41*q^214+2875916*p^39*q^216+ 123134955*p^37*q^218+2381594162*p^35*q^220+10224324197*p^33*q^222+10171749558*p ^31*q^224+2849548813*p^29*q^226+319241554*p^27*q^228+26180410*p^25*q^230+ 1217518*p^23*q^232+214760*p^21*q^234+572*p^19*q^236+6*p^15*q^240+8904*p^42*q^ 212+283582*p^40*q^214+16714007*p^38*q^216+539637908*p^36*q^218+5585582888*p^34* q^220+11776802362*p^32*q^222+6385729721*p^30*q^224+1094411444*p^28*q^226+ 98211462*p^26*q^228+8657542*p^24*q^230+362346*p^22*q^232+37264*p^20*q^234+12*p^ 18*q^236+108*p^43*q^210+13120*p^41*q^212+1956252*p^39*q^214+85907342*p^37*q^216 +1868433020*p^35*q^218+9275707878*p^33*q^220+10220166141*p^31*q^222+3112399338* p^29*q^224+364938835*p^27*q^226+28277022*p^25*q^228+1721852*p^23*q^230+256484*p ^21*q^232+1400*p^19*q^234+15*p^44*q^208+2444*p^42*q^210+134751*p^40*q^212+ 11191700*p^38*q^214+396283444*p^36*q^216+4735905646*p^34*q^218+11271920435*p^32 *q^220+6666369210*p^30*q^222+1218790044*p^28*q^224+109355290*p^26*q^226+9612996 *p^24*q^228+271854*p^22*q^230+45222*p^20*q^232+32*p^18*q^234+26096*p^41*q^210+ 1340284*p^39*q^212+61679865*p^37*q^214+1468614060*p^35*q^216+8354726216*p^33*q^ 218+10163700782*p^31*q^220+3352634020*p^29*q^222+409782932*p^27*q^224+31965264* p^25*q^226+2408100*p^23*q^228+186236*p^21*q^230+5560*p^19*q^232+1440*p^42*q^208 +79244*p^40*q^210+8086581*p^38*q^212+291540088*p^36*q^214+3935104883*p^34*q^216 +10644381946*p^32*q^218+6927514597*p^30*q^220+1356303598*p^28*q^222+127167725*p ^26*q^224+10417664*p^24*q^226+300782*p^22*q^228+88896*p^20*q^230+32*p^18*q^232+ 93*p^43*q^206+17964*p^41*q^208+827132*p^39*q^210+43027926*p^37*q^212+1119272878 *p^35*q^214+7440346450*p^33*q^216+10058939168*p^31*q^218+3622257088*p^29*q^220+ 463464243*p^27*q^222+35611034*p^25*q^224+3071390*p^23*q^226+125140*p^21*q^228+ 5112*p^19*q^230+214*p^42*q^206+71604*p^40*q^208+5499170*p^38*q^210+209778617*p^ 36*q^212+3241875488*p^34*q^214+9994266055*p^32*q^216+7162488260*p^30*q^218+ 1500622939*p^28*q^220+143872208*p^26*q^222+11363344*p^24*q^224+475766*p^22*q^ 226+87598*p^20*q^228+468*p^18*q^230+24*p^43*q^204+9752*p^41*q^206+464536*p^39*q ^208+30292438*p^37*q^210+854977588*p^35*q^212+6548788173*p^33*q^214+9904235084* p^31*q^216+3863717789*p^29*q^218+522578800*p^27*q^220+40699120*p^25*q^222+ 3521580*p^23*q^224+53544*p^21*q^226+17200*p^19*q^228+316*p^42*q^204+71684*p^40* q^206+3887904*p^38*q^208+152745276*p^36*q^210+2626403738*p^34*q^212+9283770618* p^32*q^214+7319805296*p^30*q^216+1659292680*p^28*q^218+163642886*p^26*q^220+ 12085810*p^24*q^222+734736*p^22*q^224+76484*p^20*q^226+376*p^18*q^228+4354*p^41 *q^204+316764*p^39*q^206+21236938*p^37*q^208+637466875*p^35*q^210+5667400670*p^ 33*q^212+9661593618*p^31*q^214+4147415148*p^29*q^216+588623666*p^27*q^218+ 47802060*p^25*q^220+4210310*p^23*q^222+67456*p^21*q^224+26260*p^19*q^226+16*p^ 17*q^228+372*p^42*q^202+46584*p^40*q^204+2323146*p^38*q^206+106898814*p^36*q^ 208+2091499694*p^34*q^210+8594075236*p^32*q^212+7473920746*p^30*q^214+ 1823307736*p^28*q^216+185935026*p^26*q^218+12759622*p^24*q^220+934672*p^22*q^ 222+32088*p^20*q^224+1612*p^18*q^226+896*p^41*q^202+239356*p^39*q^204+15137495* p^37*q^206+477173366*p^35*q^208+4878470004*p^33*q^210+9338901772*p^31*q^212+ 4379453546*p^29*q^214+660198990*p^27*q^216+53885241*p^25*q^218+4561484*p^23*q^ 220+118564*p^21*q^222+31580*p^19*q^224+24*p^17*q^226+18*p^42*q^200+33176*p^40*q ^202+1583966*p^38*q^204+77239692*p^36*q^206+1645476131*p^34*q^208+7806597596*p^ 32*q^210+7569799047*p^30*q^212+1997735662*p^28*q^214+212190365*p^26*q^216+ 14819838*p^24*q^218+1242606*p^22*q^220+8760*p^20*q^222+4644*p^18*q^224+2710*p^ 41*q^200+183674*p^39*q^202+10187776*p^37*q^204+346765237*p^35*q^206+4098430660* p^33*q^208+8991494778*p^31*q^210+4627940628*p^29*q^212+744467297*p^27*q^214+ 63151642*p^25*q^216+4662912*p^23*q^218+188212*p^21*q^220+25224*p^19*q^222+44*p^ 17*q^224+18*p^42*q^198+8397*p^40*q^200+981846*p^38*q^202+53774834*p^36*q^204+ 1273932756*p^34*q^206+7078405192*p^32*q^208+7615274376*p^30*q^210+2185704327*p^ 28*q^212+237770672*p^26*q^214+16436654*p^24*q^216+1553138*p^22*q^218+11884*p^20 *q^220+7068*p^18*q^222+468*p^41*q^198+147618*p^39*q^200+6815810*p^37*q^202+ 254844396*p^35*q^204+3421970835*p^33*q^206+8558981810*p^31*q^208+4835792713*p^ 29*q^210+830211492*p^27*q^212+72072189*p^25*q^214+4913598*p^23*q^216+259906*p^ 21*q^218+4008*p^19*q^220+468*p^17*q^222+12836*p^40*q^198+725249*p^38*q^200+ 38992616*p^36*q^202+975724289*p^34*q^204+6286977376*p^32*q^206+7601722956*p^30* q^208+2376609070*p^28*q^210+270973397*p^26*q^212+19565060*p^24*q^214+1779392*p^ 22*q^216+27168*p^20*q^218+11900*p^18*q^220+240*p^41*q^196+71348*p^39*q^198+ 4464418*p^37*q^200+180772132*p^35*q^202+2789752374*p^33*q^204+8093808361*p^31*q ^206+5055255728*p^29*q^208+929049884*p^27*q^210+82866644*p^25*q^212+5064823*p^ 23*q^214+386114*p^21*q^216+762*p^19*q^218+720*p^17*q^220+5458*p^40*q^196+532562 *p^38*q^198+26329116*p^36*q^200+736799538*p^34*q^202+5550271311*p^32*q^204+ 7541466272*p^30*q^206+2571014965*p^28*q^208+306424722*p^26*q^210+22668500*p^24* q^212+1931038*p^22*q^214+40502*p^20*q^216+3676*p^18*q^218+20*p^16*q^220+33*p^41 *q^194+51072*p^39*q^196+2974654*p^37*q^198+131816160*p^35*q^200+2255331359*p^33 *q^202+7576091020*p^31*q^204+5224786192*p^29*q^206+1033881920*p^27*q^208+ 92822442*p^25*q^210+5584162*p^23*q^212+508014*p^21*q^214+2296*p^19*q^216+3008*p ^17*q^218+1774*p^40*q^194+360145*p^38*q^196+18293520*p^36*q^198+549052402*p^34* q^200+4809617268*p^32*q^202+7407479151*p^30*q^204+2757900314*p^28*q^206+ 349386863*p^26*q^208+27179530*p^24*q^210+1869344*p^22*q^212+65558*p^20*q^214+32 *p^18*q^216+24*p^16*q^218+36*p^41*q^192+39794*p^39*q^194+2112186*p^37*q^196+ 93692750*p^35*q^198+1784768354*p^33*q^200+7005580899*p^31*q^202+5390652100*p^29 *q^204+1154232874*p^27*q^206+105322710*p^25*q^208+6377710*p^23*q^210+701158*p^ 21*q^212+5284*p^19*q^214+2112*p^17*q^216+861*p^40*q^192+215958*p^38*q^194+ 11895661*p^36*q^196+400771508*p^34*q^198+4114874735*p^32*q^200+7257863274*p^30* q^202+2958121369*p^28*q^204+392773144*p^26*q^206+31564481*p^24*q^208+1851666*p^ 22*q^210+92190*p^20*q^212+72*p^18*q^214+352*p^16*q^216+12*p^41*q^190+11400*p^39 *q^192+1414370*p^37*q^194+66126000*p^35*q^196+1406965139*p^33*q^198+6436498072* p^31*q^200+5489115271*p^29*q^202+1270260868*p^27*q^204+119289100*p^25*q^206+ 7582200*p^23*q^208+721074*p^21*q^210+7184*p^19*q^212+510*p^40*q^190+193508*p^38 *q^192+8628910*p^36*q^194+297806126*p^34*q^196+3452572230*p^32*q^198+6995456368 *p^30*q^200+3146396454*p^28*q^202+448086473*p^26*q^204+35712698*p^24*q^206+ 1843380*p^22*q^208+178648*p^20*q^210+500*p^18*q^212+684*p^16*q^214+8760*p^39*q^ 190+914726*p^37*q^192+44824072*p^35*q^194+1068063678*p^33*q^196+5809464963*p^31 *q^198+5599610552*p^29*q^200+1401909250*p^27*q^202+137179530*p^25*q^204+9699328 *p^23*q^206+768478*p^21*q^208+10790*p^19*q^210+12*p^15*q^214+210*p^40*q^188+ 78396*p^38*q^190+5578963*p^36*q^192+214649910*p^34*q^194+2878002385*p^32*q^196+ 6744966262*p^30*q^198+3330043098*p^28*q^200+504762992*p^26*q^202+39466826*p^24* q^204+1794058*p^22*q^206+219764*p^20*q^208+488*p^18*q^210+3882*p^39*q^188+ 727221*p^37*q^190+31760824*p^35*q^192+818815013*p^33*q^194+5184857502*p^31*q^ 196+5607601302*p^29*q^198+1533568354*p^27*q^200+154779612*p^25*q^202+11720284*p ^23*q^204+733140*p^21*q^206+27284*p^19*q^208+20*p^17*q^210+116*p^15*q^212+12*p^ 40*q^186+55219*p^38*q^188+3737250*p^36*q^190+153509795*p^34*q^192+2336974652*p^ 32*q^194+6396784791*p^30*q^196+3512909280*p^28*q^198+571512283*p^26*q^200+ 45738614*p^24*q^202+2364524*p^22*q^204+268104*p^20*q^206+920*p^18*q^208+2476*p^ 39*q^186+447570*p^37*q^188+21902968*p^35*q^190+612649470*p^33*q^192+4559032517* p^31*q^194+5629364300*p^29*q^196+1670938644*p^27*q^198+178476502*p^25*q^200+ 13172308*p^23*q^202+528040*p^21*q^204+48168*p^19*q^206+20*p^17*q^208+25850*p^38 *q^186+2575480*p^36*q^188+106858498*p^34*q^190+1870901978*p^32*q^192+6025947136 *p^30*q^194+3668291118*p^28*q^196+640675186*p^26*q^198+50999264*p^24*q^200+ 3192370*p^22*q^202+330366*p^20*q^204+2068*p^18*q^206+8*p^14*q^210+504*p^39*q^ 184+266451*p^37*q^186+14632802*p^35*q^188+458599293*p^33*q^190+3967277406*p^31* q^192+5583686457*p^29*q^194+1816705538*p^27*q^196+203911597*p^25*q^198+15023124 *p^23*q^200+486794*p^21*q^202+58324*p^19*q^204+52*p^17*q^206+17628*p^38*q^184+ 1884742*p^36*q^186+77475330*p^34*q^188+1472584634*p^32*q^190+5584062784*p^30*q^ 192+3793606218*p^28*q^194+715399388*p^26*q^196+57973846*p^24*q^198+4053420*p^22 *q^200+253184*p^20*q^202+7356*p^18*q^204+48*p^39*q^182+163992*p^37*q^184+ 9830843*p^35*q^186+329833866*p^33*q^188+3373738562*p^31*q^190+5500648008*p^29*q ^192+1976000026*p^27*q^194+236051304*p^25*q^196+17259706*p^23*q^198+647734*p^21 *q^200+109624*p^19*q^202+56*p^17*q^204+12*p^40*q^180+7156*p^38*q^182+1163948*p^ 36*q^184+52741488*p^34*q^186+1148867067*p^32*q^188+5140731172*p^30*q^190+ 3932681788*p^28*q^192+790816672*p^26*q^194+66145167*p^24*q^196+4633056*p^22*q^ 198+162004*p^20*q^200+7216*p^18*q^202+24*p^39*q^180+87209*p^37*q^182+6792132*p^ 35*q^184+242035504*p^33*q^186+2831142068*p^31*q^188+5360708574*p^29*q^190+ 2106060372*p^27*q^192+268583883*p^25*q^194+18655054*p^23*q^196+967634*p^21*q^ 198+112636*p^19*q^200+652*p^17*q^202+1628*p^38*q^180+829534*p^36*q^182+37003414 *p^34*q^184+879894932*p^32*q^186+4652884495*p^30*q^188+4008931088*p^28*q^190+ 888578794*p^26*q^192+77082462*p^24*q^194+5781554*p^22*q^196+115350*p^20*q^198+ 21564*p^18*q^200+168*p^39*q^178+58578*p^37*q^180+4614949*p^35*q^182+171568096*p ^33*q^184+2321255037*p^31*q^186+5173619954*p^29*q^188+2264168528*p^27*q^190+ 304432898*p^25*q^192+21036443*p^23*q^194+1221214*p^21*q^196+92860*p^19*q^198+ 576*p^17*q^200+642*p^38*q^178+410457*p^36*q^180+24542528*p^34*q^182+659886440*p ^32*q^184+4172758730*p^30*q^186+4097585457*p^28*q^188+976864316*p^26*q^190+ 90226302*p^24*q^192+6268322*p^22*q^194+157818*p^20*q^196+33006*p^18*q^198+24*p^ 16*q^200+20595*p^37*q^178+3312350*p^35*q^180+123521483*p^33*q^182+1896348186*p^ 31*q^184+4933278426*p^29*q^186+2387104624*p^27*q^188+342346633*p^25*q^190+ 23276830*p^23*q^192+1613996*p^21*q^194+44720*p^19*q^196+2128*p^17*q^198+1021*p^ 38*q^176+311392*p^36*q^178+17009868*p^34*q^180+492168386*p^32*q^182+3642173065* p^30*q^184+4121974344*p^28*q^186+1083205826*p^26*q^188+105415800*p^24*q^190+ 7155176*p^22*q^192+253096*p^20*q^194+38918*p^18*q^196+36*p^16*q^198+8234*p^37*q ^176+1981826*p^35*q^178+85610784*p^33*q^180+1498828322*p^31*q^182+4678132424*p^ 29*q^184+2528757386*p^27*q^186+388874566*p^25*q^188+27270352*p^23*q^190+1986190 *p^21*q^192+18476*p^19*q^194+5924*p^17*q^196+348*p^38*q^174+157613*p^36*q^176+ 11697308*p^34*q^178+360346883*p^32*q^180+3163045580*p^30*q^182+4126115615*p^28* q^184+1182845552*p^26*q^186+120345172*p^24*q^188+7424752*p^22*q^190+337816*p^20 *q^192+30922*p^18*q^194+68*p^16*q^196+4749*p^37*q^174+1287996*p^35*q^176+ 59247473*p^33*q^178+1180884402*p^31*q^180+4355523077*p^29*q^182+2648039468*p^27 *q^184+437455541*p^25*q^186+32223378*p^23*q^188+2390034*p^21*q^190+37148*p^19*q ^192+8836*p^17*q^194+12*p^38*q^172+70990*p^36*q^174+8128530*p^34*q^176+ 263975202*p^32*q^178+2677277792*p^30*q^180+4078522206*p^28*q^182+1288781773*p^ 26*q^184+137596686*p^24*q^186+8041772*p^22*q^188+490324*p^20*q^190+5418*p^18*q^ 192+616*p^16*q^194+4604*p^37*q^172+853571*p^35*q^174+40683132*p^33*q^176+ 901645836*p^31*q^178+4005943758*p^29*q^180+2760931450*p^27*q^182+497149890*p^25 *q^184+38809910*p^23*q^186+2704700*p^21*q^188+54654*p^19*q^190+14568*p^17*q^192 +31183*p^36*q^172+5061934*p^34*q^174+186554274*p^32*q^176+2239593200*p^30*q^178 +4017825724*p^28*q^180+1399667276*p^26*q^182+156156929*p^24*q^184+8971504*p^22* q^186+639042*p^20*q^188+3212*p^18*q^190+932*p^16*q^192+474*p^37*q^170+434000*p^ 35*q^172+28391690*p^33*q^174+691466066*p^31*q^176+3636140868*p^29*q^178+ 2847198146*p^27*q^180+550107166*p^25*q^182+45241824*p^23*q^184+2653732*p^21*q^ 186+84406*p^19*q^188+4518*p^17*q^190+28*p^15*q^192+29232*p^36*q^170+3627446*p^ 34*q^172+133784644*p^32*q^174+1826022139*p^30*q^176+3882031802*p^28*q^178+ 1504687617*p^26*q^180+180961718*p^24*q^182+10797875*p^22*q^184+915512*p^20*q^ 186+7218*p^18*q^188+3722*p^16*q^190+252*p^37*q^168+229045*p^35*q^170+18892478*p ^33*q^172+509570112*p^31*q^174+3236521258*p^29*q^176+2927029166*p^27*q^178+ 623748482*p^25*q^180+51799440*p^23*q^182+2833926*p^21*q^184+117514*p^19*q^186+ 108*p^17*q^188+34*p^15*q^190+9176*p^36*q^168+2080508*p^34*q^170+92193333*p^32*q ^172+1476726210*p^30*q^174+3746740666*p^28*q^176+1615587696*p^26*q^178+ 203422368*p^24*q^180+13347898*p^22*q^182+923140*p^20*q^184+9640*p^18*q^186+2592 *p^16*q^188+18*p^37*q^166+141888*p^35*q^168+13281660*p^33*q^170+380939000*p^31* q^172+2835559150*p^29*q^174+2963340418*p^27*q^176+685092729*p^25*q^178+60074622 *p^23*q^180+2749436*p^21*q^182+226116*p^19*q^184+672*p^17*q^186+444*p^15*q^188+ 3752*p^36*q^166+1280758*p^34*q^168+64425620*p^32*q^170+1158232099*p^30*q^172+ 3539091484*p^28*q^174+1722863157*p^26*q^176+235029898*p^24*q^178+16132205*p^22* q^180+1070048*p^20*q^182+14496*p^18*q^184+24*p^37*q^164+83033*p^35*q^166+ 8584306*p^33*q^168+274273719*p^31*q^170+2439554980*p^29*q^172+2989064202*p^27*q ^174+761478800*p^25*q^176+68546098*p^23*q^178+3327328*p^21*q^180+272698*p^19*q^ 182+700*p^17*q^184+844*p^15*q^186+728*p^36*q^164+699302*p^34*q^166+44287256*p^ 32*q^168+898709962*p^30*q^170+3313523855*p^28*q^172+1822838994*p^26*q^174+ 268117027*p^24*q^176+18779482*p^22*q^178+950877*p^20*q^180+34528*p^18*q^182+28* p^16*q^184+16*p^14*q^186+12*p^37*q^162+32136*p^35*q^164+5466494*p^33*q^166+ 196384914*p^31*q^168+2069295257*p^29*q^170+2983211548*p^27*q^172+834195539*p^25 *q^174+78237492*p^23*q^176+4286273*p^21*q^178+342334*p^19*q^180+1296*p^17*q^182 +372*p^36*q^162+472900*p^34*q^164+31018186*p^32*q^166+691066549*p^30*q^168+ 3032891876*p^28*q^170+1907019384*p^26*q^172+304005920*p^24*q^174+22016200*p^22* q^176+823404*p^20*q^178+60404*p^18*q^180+28*p^16*q^182+144*p^14*q^184+13746*p^ 35*q^162+3362512*p^33*q^164+137538828*p^31*q^166+1694147072*p^29*q^168+ 2949484195*p^27*q^170+920243596*p^25*q^172+91428246*p^23*q^174+5396442*p^21*q^ 176+415673*p^19*q^178+2720*p^17*q^180+366*p^36*q^160+222090*p^34*q^162+20109149 *p^32*q^164+515401490*p^30*q^166+2769968887*p^28*q^168+1989805806*p^26*q^170+ 343311845*p^24*q^172+24900350*p^22*q^174+930018*p^20*q^176+72108*p^18*q^178+72* p^16*q^180+3510*p^35*q^160+2088392*p^33*q^162+98410342*p^31*q^164+1387979331*p^ 29*q^166+2865021670*p^27*q^168+994396934*p^25*q^170+104892748*p^23*q^172+ 6472230*p^21*q^174+310372*p^19*q^176+9286*p^17*q^178+10*p^13*q^182+123118*p^34* q^160+13652708*p^32*q^162+379641962*p^30*q^164+2442724564*p^28*q^166+2056514026 *p^26*q^168+387859926*p^24*q^170+29009546*p^22*q^172+1283970*p^20*q^174+136322* p^18*q^176+80*p^16*q^178+4372*p^35*q^158+1248504*p^33*q^160+67196515*p^31*q^162 +1100714032*p^29*q^164+2765134427*p^27*q^166+1081190326*p^25*q^168+122144447*p^ 23*q^170+7749414*p^21*q^172+247832*p^19*q^174+9168*p^17*q^176+6*p^36*q^156+ 37916*p^34*q^158+8310693*p^32*q^160+275386854*p^30*q^162+2135068058*p^28*q^164+ 2108468074*p^26*q^166+434497961*p^24*q^168+32654656*p^22*q^170+1614930*p^20*q^ 172+132096*p^18*q^174+836*p^16*q^176+490*p^35*q^156+719748*p^33*q^158+46642028* p^31*q^160+866002201*p^29*q^162+2628228714*p^27*q^164+1153105113*p^25*q^166+ 140749918*p^23*q^168+9023096*p^21*q^170+240332*p^19*q^172+26730*p^17*q^174+ 30209*p^34*q^156+5543328*p^32*q^158+198772203*p^30*q^160+1816825500*p^28*q^162+ 2129216143*p^26*q^164+486295310*p^24*q^166+38424704*p^22*q^168+2104560*p^20*q^ 170+115820*p^18*q^172+776*p^16*q^174+192*p^35*q^154+331042*p^33*q^156+30531968* p^31*q^158+656265046*p^29*q^160+2457069348*p^27*q^162+1239514764*p^25*q^164+ 162659507*p^23*q^166+10283302*p^21*q^168+327630*p^19*q^170+39236*p^17*q^172+32* p^15*q^174+12*p^36*q^152+11236*p^34*q^154+3345272*p^32*q^156+140215304*p^30*q^ 158+1531456059*p^28*q^160+2139012052*p^26*q^162+537852244*p^24*q^164+44396892*p ^22*q^166+2617853*p^20*q^168+63388*p^18*q^170+2676*p^16*q^172+24*p^35*q^152+ 165794*p^33*q^154+20309246*p^31*q^156+498265625*p^29*q^158+2249157156*p^27*q^ 160+1308125583*p^25*q^162+185723060*p^23*q^164+11501476*p^21*q^166+437656*p^19* q^168+46550*p^17*q^170+48*p^15*q^172+2838*p^34*q^152+1963150*p^32*q^154+ 98527147*p^30*q^156+1250672972*p^28*q^158+2125091385*p^26*q^160+592364994*p^24* q^162+53209150*p^22*q^164+3207746*p^20*q^166+52318*p^18*q^168+7188*p^16*q^170+ 210*p^35*q^150+108662*p^33*q^152+13348273*p^31*q^154+366316836*p^29*q^156+ 2025422950*p^27*q^158+1371347324*p^25*q^160+213924221*p^23*q^162+12954942*p^21* q^164+626190*p^19*q^166+37040*p^17*q^168+92*p^15*q^170+1092*p^34*q^150+923525*p ^32*q^152+65930636*p^30*q^154+1004548127*p^28*q^156+2083873728*p^26*q^158+ 656763365*p^24*q^160+61725054*p^22*q^162+3640337*p^20*q^164+69212*p^18*q^166+ 10604*p^16*q^168+31454*p^33*q^150+8544500*p^31*q^152+270600471*p^29*q^154+ 1797650412*p^27*q^156+1422987156*p^25*q^158+238109634*p^23*q^160+15138557*p^21* q^162+826280*p^19*q^164+9754*p^17*q^166+764*p^15*q^168+1581*p^34*q^148+636394*p ^32*q^150+45682850*p^30*q^152+788226338*p^28*q^154+1995044543*p^26*q^156+ 712524886*p^24*q^158+74067259*p^22*q^160+3981742*p^20*q^162+109617*p^18*q^164+ 17268*p^16*q^166+16788*p^33*q^148+4727459*p^31*q^150+190021552*p^29*q^152+ 1547977892*p^27*q^154+1480339162*p^25*q^156+273759879*p^23*q^158+18191992*p^21* q^160+1120858*p^19*q^162+8842*p^17*q^164+1144*p^15*q^166+312*p^34*q^146+270191* p^32*q^148+30368082*p^30*q^150+611180373*p^28*q^152+1906297842*p^26*q^154+ 769646081*p^24*q^156+83559986*p^22*q^158+4239350*p^20*q^160+151640*p^18*q^162+ 5460*p^16*q^164+36*p^14*q^166+8276*p^33*q^146+2907138*p^31*q^148+135242740*p^29 *q^150+1312442884*p^27*q^152+1495881766*p^25*q^154+307105690*p^23*q^156+ 22228778*p^21*q^158+1258410*p^19*q^160+13041*p^17*q^162+4436*p^15*q^164+12*p^34 *q^144+142692*p^32*q^146+19559470*p^30*q^148+460967400*p^28*q^150+1768136587*p^ 26*q^152+831952458*p^24*q^154+97969010*p^22*q^156+4803548*p^20*q^158+270646*p^ 18*q^160+824*p^16*q^162+44*p^14*q^164+5120*p^33*q^144+1658095*p^31*q^146+ 93349606*p^29*q^148+1083988821*p^27*q^150+1515777924*p^25*q^152+343491347*p^23* q^154+26428838*p^21*q^156+1389500*p^19*q^158+19136*p^17*q^160+3072*p^15*q^162+ 12*p^34*q^142+57805*p^32*q^144+11773906*p^30*q^146+340413848*p^28*q^148+ 1621745160*p^26*q^150+887271439*p^24*q^152+113077570*p^22*q^154+5812730*p^20*q^ 156+342160*p^18*q^158+970*p^16*q^160+536*p^14*q^162+612*p^33*q^142+852022*p^31* q^144+64636779*p^29*q^146+883039502*p^27*q^148+1502251573*p^25*q^150+382798722* p^23*q^152+30650927*p^21*q^154+1392944*p^19*q^156+41786*p^17*q^158+36*p^15*q^ 160+38356*p^32*q^142+7528613*p^30*q^144+248644958*p^28*q^146+1442020089*p^26*q^ 148+935622502*p^24*q^150+129234681*p^22*q^152+7368882*p^20*q^154+428680*p^18*q^ 156+1728*p^16*q^158+1004*p^14*q^160+360*p^33*q^140+443952*p^31*q^142+41985336*p ^29*q^144+693474701*p^27*q^146+1478178468*p^25*q^148+427227862*p^23*q^150+ 37490548*p^21*q^152+1427612*p^19*q^154+72778*p^17*q^156+36*p^15*q^158+20*p^13*q ^160+24*p^34*q^138+11934*p^32*q^140+4141654*p^30*q^142+177014356*p^28*q^144+ 1272373284*p^26*q^146+981317658*p^24*q^148+147724102*p^22*q^150+8469366*p^20*q^ 152+504356*p^18*q^154+3398*p^16*q^156+30*p^33*q^138+213658*p^31*q^140+27620527* p^29*q^142+542982394*p^27*q^144+1415520614*p^25*q^146+468151484*p^23*q^148+ 42419457*p^21*q^150+1773586*p^19*q^152+91282*p^17*q^154+92*p^15*q^156+172*p^13* q^158+4648*p^32*q^138+2536137*p^30*q^140+125169870*p^28*q^142+1079201053*p^26*q ^144+1017178604*p^24*q^146+169679500*p^22*q^148+11086562*p^20*q^150+440730*p^18 *q^152+11148*p^16*q^154+360*p^33*q^136+117762*p^31*q^138+16844812*p^29*q^140+ 405749042*p^27*q^142+1344383874*p^25*q^144+512169504*p^23*q^146+50086916*p^21*q ^148+2055107*p^19*q^150+156902*p^17*q^152+104*p^15*q^154+1080*p^32*q^136+ 1183834*p^30*q^138+85535463*p^28*q^140+910402576*p^26*q^142+1044648043*p^24*q^ 144+193966348*p^22*q^146+12858220*p^20*q^148+429968*p^18*q^150+11842*p^16*q^152 +12*p^12*q^156+6*p^33*q^134+42658*p^31*q^136+10763637*p^29*q^138+304123118*p^27 *q^140+1240529541*p^25*q^142+552065908*p^23*q^144+56873904*p^21*q^146+2742950*p ^19*q^148+162970*p^17*q^150+1020*p^15*q^152+2340*p^32*q^134+725542*p^30*q^136+ 56972958*p^28*q^138+738900682*p^26*q^140+1050295746*p^24*q^142+221447378*p^22*q ^144+15551046*p^20*q^146+445456*p^18*q^148+31064*p^16*q^150+16661*p^31*q^134+ 5988802*p^29*q^136+220557139*p^27*q^138+1123208948*p^25*q^140+598236675*p^23*q^ 142+67222924*p^21*q^144+3525830*p^19*q^146+150912*p^17*q^148+1016*p^15*q^150+ 732*p^32*q^132+324880*p^30*q^134+36999657*p^28*q^136+588154668*p^26*q^138+ 1052740957*p^24*q^140+245817828*p^22*q^142+17662562*p^20*q^144+537148*p^18*q^ 146+46306*p^16*q^148+40*p^14*q^150+4*p^33*q^130+10312*p^31*q^132+3423062*p^29*q ^134+157632854*p^27*q^136+1001220450*p^25*q^138+630731808*p^23*q^140+79670182*p ^21*q^142+4397748*p^19*q^144+110520*p^17*q^146+3200*p^15*q^148+12*p^32*q^130+ 147945*p^30*q^132+23929658*p^28*q^134+456932163*p^26*q^136+1016981760*p^24*q^ 138+276980450*p^22*q^140+20042812*p^20*q^142+801076*p^18*q^144+55268*p^16*q^146 +60*p^14*q^148+4*p^33*q^128+9300*p^31*q^130+1933928*p^29*q^132+107705236*p^27*q ^134+860991904*p^25*q^136+672766629*p^23*q^138+92667672*p^21*q^140+5453318*p^19 *q^142+87446*p^17*q^144+8452*p^15*q^146+56*p^32*q^128+59420*p^30*q^130+13820261 *p^28*q^132+348252612*p^26*q^134+983331577*p^24*q^136+304861740*p^22*q^138+ 24197838*p^20*q^140+1029492*p^18*q^142+47026*p^16*q^144+116*p^14*q^146+708*p^31 *q^128+930928*p^29*q^130+74836466*p^27*q^132+728079496*p^25*q^134+695126700*p^ 23*q^136+106395542*p^21*q^138+5747200*p^19*q^140+135944*p^17*q^142+12456*p^15*q ^144+56*p^32*q^126+56688*p^30*q^128+8742326*p^28*q^130+256928134*p^26*q^132+ 916974022*p^24*q^134+336184705*p^22*q^136+29441262*p^20*q^138+1558068*p^18*q^ 140+16820*p^16*q^142+912*p^14*q^144+690*p^31*q^126+434822*p^29*q^128+47184920*p ^27*q^130+594663406*p^25*q^132+715718413*p^23*q^134+123956216*p^21*q^136+ 6752516*p^19*q^138+180524*p^17*q^140+20130*p^15*q^142+15314*p^30*q^126+4676067* p^28*q^128+187860358*p^26*q^130+849493024*p^24*q^132+368300816*p^22*q^134+ 34511219*p^20*q^136+1661014*p^18*q^138+15818*p^16*q^140+1356*p^14*q^142+416*p^ 31*q^124+256729*p^29*q^126+30982230*p^27*q^128+477126399*p^25*q^130+715965860*p ^23*q^132+138358311*p^21*q^134+8023782*p^19*q^136+347848*p^17*q^138+7106*p^15*q ^140+44*p^13*q^142+6526*p^30*q^124+2535662*p^28*q^126+131100519*p^26*q^128+ 755498350*p^24*q^130+401843049*p^22*q^132+42261946*p^20*q^134+1971566*p^18*q^ 136+23032*p^16*q^138+5150*p^14*q^140+92*p^31*q^122+140726*p^29*q^124+18889143*p ^27*q^126+371285458*p^25*q^128+713284916*p^23*q^130+157159162*p^21*q^132+ 9549621*p^19*q^134+435738*p^17*q^136+1162*p^15*q^138+54*p^13*q^140+6*p^32*q^120 +2912*p^30*q^122+1238362*p^28*q^124+89039464*p^26*q^126+660163476*p^24*q^128+ 428406220*p^22*q^130+49629494*p^20*q^132+2168480*p^18*q^134+50892*p^16*q^136+ 3596*p^14*q^138+48838*p^29*q^122+11134870*p^27*q^124+284888616*p^25*q^126+ 696214454*p^23*q^128+177412740*p^21*q^130+11826804*p^19*q^132+534962*p^17*q^134 +2128*p^15*q^136+628*p^13*q^138+1196*p^30*q^120+785952*p^28*q^122+60022772*p^26 *q^124+556763308*p^24*q^126+447059816*p^22*q^128+56952784*p^20*q^130+2400351*p^ 18*q^132+92212*p^16*q^134+44*p^14*q^136+84*p^31*q^118+25472*p^29*q^120+6018562* p^27*q^122+206679490*p^25*q^124+661139140*p^23*q^126+203904632*p^21*q^128+ 15189045*p^19*q^130+684568*p^17*q^132+4046*p^15*q^134+1164*p^13*q^136+240*p^30* q^118+329268*p^28*q^120+38103844*p^26*q^122+464172628*p^24*q^124+470329518*p^22 *q^126+64685392*p^20*q^128+2781668*p^18*q^130+105880*p^16*q^132+112*p^14*q^134+ 24*p^12*q^136+8342*p^29*q^118+3441792*p^27*q^120+150395219*p^25*q^122+611396464 *p^23*q^124+221083467*p^21*q^126+18247246*p^19*q^128+650984*p^17*q^130+13980*p^ 15*q^132+534*p^30*q^116+182290*p^28*q^118+23764370*p^26*q^120+369706206*p^24*q^ 122+480536999*p^22*q^124+77450864*p^20*q^126+3743977*p^18*q^128+196448*p^16*q^ 130+128*p^14*q^132+200*p^12*q^134+4394*p^29*q^116+1837858*p^27*q^118+102609846* p^25*q^120+552829306*p^23*q^122+245152754*p^21*q^124+21090755*p^19*q^126+661810 *p^17*q^128+13634*p^15*q^130+120*p^30*q^114+60266*p^28*q^116+13445156*p^26*q^ 118+290947342*p^24*q^120+485485338*p^22*q^122+89181511*p^20*q^124+4896618*p^18* q^126+203881*p^16*q^128+1252*p^14*q^130+2396*p^29*q^114+980574*p^27*q^116+ 70913439*p^25*q^118+484998344*p^23*q^120+263686532*p^21*q^122+24615550*p^19*q^ 124+744500*p^17*q^126+37366*p^15*q^128+14*p^11*q^132+34908*p^28*q^114+8027810*p ^26*q^116+216558794*p^24*q^118+476681829*p^22*q^120+102623876*p^20*q^122+ 6261882*p^18*q^124+205232*p^16*q^126+1224*p^14*q^128+1428*p^29*q^112+437806*p^ 27*q^114+44541076*p^25*q^116+415926778*p^23*q^118+285616218*p^21*q^120+29688320 *p^19*q^122+1034300*p^17*q^124+54614*p^15*q^126+48*p^13*q^128+14934*p^28*q^112+ 4379284*p^26*q^114+159979863*p^24*q^116+457841686*p^22*q^118+116295558*p^20*q^ 120+7187780*p^18*q^122+159300*p^16*q^124+3796*p^14*q^126+88*p^29*q^110+195218*p ^27*q^112+27833480*p^25*q^114+344635552*p^23*q^116+301275639*p^21*q^118+ 35180244*p^19*q^120+1486489*p^17*q^122+66480*p^15*q^124+72*p^13*q^126+8356*p^28 *q^110+2409209*p^26*q^112+113996082*p^24*q^114+426960322*p^22*q^116+130594368*p ^20*q^118+8643021*p^18*q^120+170122*p^16*q^122+9834*p^14*q^124+108*p^29*q^108+ 111521*p^27*q^110+16511270*p^25*q^112+272827373*p^23*q^114+314726150*p^21*q^116 +42109312*p^19*q^118+1982986*p^17*q^120+59152*p^15*q^122+140*p^13*q^124+2188*p^ 28*q^108+1038632*p^26*q^110+76433802*p^24*q^112+394611294*p^22*q^114+146385855* p^20*q^116+10246362*p^18*q^118+250188*p^16*q^120+14376*p^14*q^122+41746*p^27*q^ 108+9911139*p^25*q^110+215703806*p^23*q^112+316721748*p^21*q^114+48640666*p^19* q^116+2299155*p^17*q^118+25784*p^15*q^120+1060*p^13*q^122+1444*p^28*q^106+ 628629*p^26*q^108+49966302*p^24*q^110+342308387*p^22*q^112+161938054*p^20*q^114 +12715016*p^18*q^116+449468*p^16*q^118+23666*p^14*q^120+20018*p^27*q^106+ 5012694*p^25*q^108+159861980*p^23*q^110+320126252*p^21*q^112+57850994*p^19*q^ 114+2798494*p^17*q^116+29662*p^15*q^118+1568*p^13*q^120+102*p^28*q^104+251650*p ^26*q^106+31775136*p^24*q^108+296255732*p^22*q^110+175994568*p^20*q^112+ 14804362*p^18*q^114+541361*p^16*q^116+8300*p^14*q^118+52*p^12*q^120+9878*p^27*q ^104+2782671*p^25*q^106+115643694*p^23*q^108+308121896*p^21*q^110+65794526*p^19 *q^112+3423206*p^17*q^114+68744*p^15*q^116+5916*p^13*q^118+122432*p^26*q^104+ 19034092*p^24*q^106+244432039*p^22*q^108+188795760*p^20*q^110+18875602*p^18*q^ 112+706648*p^16*q^114+2580*p^14*q^116+64*p^12*q^118+3289*p^27*q^102+1419368*p^ 25*q^104+79339843*p^23*q^106+291161746*p^21*q^108+76070825*p^19*q^110+3892882*p ^17*q^112+107455*p^15*q^114+4084*p^13*q^116+20*p^28*q^100+55626*p^26*q^102+ 10560716*p^24*q^104+196150258*p^22*q^106+200125959*p^20*q^108+22330614*p^18*q^ 110+920470*p^16*q^112+5788*p^14*q^114+720*p^12*q^116+152*p^27*q^100+638356*p^25 *q^102+53794980*p^23*q^104+266434038*p^21*q^106+85624738*p^19*q^108+4862816*p^ 17*q^110+135736*p^15*q^112+132*p^13*q^114+30454*p^26*q^100+6153640*p^24*q^102+ 149191193*p^22*q^104+204864562*p^20*q^106+26741896*p^18*q^108+1017278*p^16*q^ 110+16332*p^14*q^112+1324*p^12*q^114+338*p^27*q^98+311954*p^25*q^100+32902615*p ^23*q^102+236498108*p^21*q^104+97098008*p^19*q^106+6402320*p^17*q^108+231818*p^ 15*q^110+208*p^13*q^112+28*p^11*q^114+5004*p^26*q^98+2971344*p^24*q^100+ 111439272*p^22*q^102+207573986*p^20*q^104+31414572*p^18*q^106+1077432*p^16*q^ 108+17132*p^14*q^110+161271*p^25*q^98+20583004*p^23*q^100+202390887*p^21*q^102+ 106141640*p^19*q^104+7777215*p^17*q^106+278006*p^15*q^108+1494*p^13*q^110+228*p ^11*q^112+3130*p^26*q^96+1582496*p^24*q^98+77652442*p^22*q^100+200843854*p^20*q ^102+37307222*p^18*q^104+1469778*p^16*q^106+42488*p^14*q^108+60682*p^25*q^96+ 11385330*p^23*q^98+166254938*p^21*q^100+117744879*p^19*q^102+9793696*p^17*q^104 +279596*p^15*q^106+1480*p^13*q^108+448*p^26*q^94+720994*p^24*q^96+52623644*p^22 *q^98+192635552*p^20*q^100+42576048*p^18*q^102+1827908*p^16*q^104+65882*p^14*q^ 106+56*p^12*q^108+16*p^10*q^110+22396*p^25*q^94+6435514*p^23*q^96+131796174*p^ 21*q^98+123588242*p^19*q^100+11823483*p^17*q^102+291048*p^15*q^104+4350*p^13*q^ 106+16*p^26*q^92+379734*p^24*q^94+33406220*p^22*q^96+175409052*p^20*q^98+ 50011153*p^18*q^100+2576766*p^16*q^102+82424*p^14*q^104+84*p^12*q^106+7548*p^25 *q^92+3182845*p^23*q^94+99134146*p^21*q^96+129503507*p^19*q^98+14269082*p^17*q^ 100+335914*p^15*q^102+11220*p^13*q^104+60*p^26*q^90+147564*p^24*q^92+20283188*p ^22*q^94+156459650*p^20*q^96+57250944*p^18*q^98+3172596*p^16*q^100+76694*p^14*q ^102+164*p^12*q^104+520*p^25*q^90+1643534*p^23*q^92+71515868*p^21*q^94+ 130721528*p^19*q^96+16600993*p^17*q^98+529966*p^15*q^100+17214*p^13*q^102+63670 *p^24*q^90+11834606*p^22*q^92+132157752*p^20*q^94+64077851*p^18*q^96+4144462*p^ 16*q^98+52912*p^14*q^100+1208*p^12*q^102+1044*p^25*q^88+803166*p^23*q^90+ 47970398*p^21*q^92+128837162*p^19*q^94+20669950*p^17*q^96+713619*p^15*q^98+ 26828*p^13*q^100+11411*p^24*q^88+6031732*p^22*q^90+108570520*p^20*q^92+70869704 *p^18*q^94+4789044*p^16*q^96+75948*p^14*q^98+1840*p^12*q^100+8*p^25*q^86+365632 *p^23*q^88+32357567*p^21*q^90+122130094*p^19*q^92+24103948*p^17*q^94+993802*p^ 15*q^96+12145*p^13*q^98+60*p^11*q^100+8552*p^24*q^86+3339632*p^22*q^88+81575046 *p^20*q^90+75679255*p^18*q^92+5980520*p^16*q^94+132250*p^14*q^96+6638*p^12*q^98 +20*p^25*q^84+119923*p^23*q^86+18593856*p^21*q^88+114009053*p^19*q^90+29290128* p^17*q^92+1313124*p^15*q^94+6496*p^13*q^96+74*p^11*q^98+1340*p^24*q^84+1641072* p^22*q^86+61990244*p^20*q^88+78863836*p^18*q^90+7160400*p^16*q^92+173256*p^14*q ^94+4750*p^12*q^96+5*p^25*q^82+50170*p^23*q^84+10878573*p^21*q^86+97590514*p^19 *q^88+33447025*p^17*q^90+1517634*p^15*q^92+18866*p^13*q^94+812*p^11*q^96+276*p^ 24*q^82+734769*p^22*q^84+42403464*p^20*q^86+81912625*p^18*q^88+9289350*p^16*q^ 90+314488*p^14*q^92+260*p^12*q^94+19466*p^23*q^82+5912116*p^21*q^84+81730230*p^ 19*q^86+37474488*p^17*q^88+1805960*p^15*q^90+20332*p^13*q^92+1484*p^11*q^94+75* p^24*q^80+276910*p^22*q^82+27282582*p^20*q^84+81132544*p^18*q^86+11697644*p^16* q^88+373390*p^14*q^90+1654*p^12*q^92+32*p^10*q^94+2568*p^23*q^80+3079962*p^21*q ^82+66107402*p^19*q^84+41340461*p^17*q^86+2236944*p^15*q^88+53008*p^13*q^90+ 138144*p^22*q^80+16662392*p^20*q^82+74856550*p^18*q^84+13890078*p^16*q^86+ 449178*p^14*q^88+1720*p^12*q^90+256*p^10*q^92+1382*p^23*q^78+1357078*p^21*q^80+ 48681595*p^19*q^82+46748888*p^17*q^84+3224806*p^15*q^86+82808*p^13*q^88+64*p^11 *q^90+10*p^24*q^76+28732*p^22*q^78+9567643*p^20*q^80+69093980*p^18*q^82+ 15976759*p^16*q^84+437078*p^14*q^86+5064*p^12*q^88+80*p^23*q^76+663348*p^21*q^ 78+34571316*p^19*q^80+48155610*p^17*q^82+4099770*p^15*q^84+110712*p^13*q^86+96* p^11*q^88+18*p^9*q^90+13798*p^22*q^76+5099816*p^20*q^78+58644977*p^18*q^80+ 19162484*p^16*q^82+679368*p^14*q^84+13664*p^12*q^86+130*p^23*q^74+230354*p^21*q ^76+22074934*p^19*q^78+49820820*p^17*q^80+5129249*p^15*q^82+101844*p^13*q^84+ 188*p^11*q^86+1808*p^22*q^74+2518757*p^20*q^76+48898670*p^18*q^78+22058590*p^16 *q^80+930482*p^14*q^82+20608*p^12*q^84+88201*p^21*q^74+13831250*p^19*q^76+ 47560149*p^17*q^78+6142292*p^15*q^80+106075*p^13*q^82+1424*p^11*q^84+850*p^22*q ^72+1172740*p^20*q^74+36194536*p^18*q^76+25465406*p^16*q^78+1338063*p^14*q^80+ 31920*p^12*q^82+25284*p^21*q^72+7624271*p^19*q^74+45585314*p^17*q^76+7448030*p^ 15*q^78+162782*p^13*q^80+2118*p^11*q^82+240*p^22*q^70+451323*p^20*q^72+26054584 *p^18*q^74+27187840*p^16*q^76+1710852*p^14*q^78+16528*p^12*q^80+68*p^10*q^82+ 4958*p^21*q^70+4105810*p^19*q^72+40088882*p^17*q^74+9343250*p^15*q^76+246280*p^ 13*q^78+7520*p^11*q^80+190146*p^20*q^70+17048688*p^18*q^72+28471636*p^16*q^74+ 2053002*p^14*q^76+22052*p^12*q^78+84*p^10*q^80+3140*p^21*q^68+1851338*p^19*q^70 +32988014*p^17*q^72+11450596*p^15*q^74+410362*p^13*q^76+5246*p^11*q^78+38283*p^ 20*q^68+10339770*p^18*q^70+29697427*p^16*q^72+2537026*p^14*q^74+28238*p^12*q^76 +904*p^10*q^78+80*p^21*q^66+896730*p^19*q^68+25881314*p^17*q^70+12604444*p^15*q ^72+500460*p^13*q^74+1924*p^11*q^76+20928*p^20*q^66+5620576*p^18*q^68+27649312* p^16*q^70+3611251*p^14*q^72+71922*p^12*q^74+1644*p^10*q^76+60*p^21*q^64+273621* p^19*q^66+18352990*p^17*q^68+15105384*p^15*q^70+592336*p^13*q^72+2078*p^11*q^74 +36*p^9*q^76+3210*p^20*q^64+2977164*p^18*q^66+25673256*p^16*q^68+4156656*p^14*q ^70+102924*p^12*q^72+72*p^10*q^74+105038*p^19*q^64+11928982*p^17*q^66+15816492* p^15*q^68+852295*p^13*q^70+7372*p^11*q^72+284*p^9*q^74+800*p^20*q^62+1299496*p^ 18*q^64+21656358*p^16*q^66+5505969*p^14*q^68+134860*p^12*q^70+108*p^10*q^72+ 34012*p^19*q^62+7102070*p^17*q^64+16729396*p^15*q^66+1071714*p^13*q^68+15870*p^ 11*q^70+90*p^20*q^60+470296*p^18*q^62+17003122*p^16*q^64+6554356*p^14*q^66+ 171373*p^12*q^68+312*p^10*q^70+20*p^8*q^72+6160*p^19*q^60+4002962*p^17*q^62+ 16567104*p^15*q^64+1438778*p^13*q^66+24120*p^11*q^68+197952*p^18*q^60+11768934* p^16*q^62+7490875*p^14*q^64+220944*p^12*q^66+1602*p^10*q^68+2060*p^19*q^58+ 1717174*p^17*q^60+15679544*p^15*q^62+2086078*p^13*q^64+39105*p^11*q^66+43898*p^ 18*q^58+8029278*p^16*q^60+8470458*p^14*q^62+266862*p^12*q^64+2416*p^10*q^66+ 793978*p^17*q^58+13084016*p^15*q^60+2449784*p^13*q^62+38842*p^11*q^64+76*p^9*q^ 66+17850*p^18*q^56+4420914*p^16*q^58+9274943*p^14*q^60+499534*p^12*q^62+8310*p^ 10*q^64+30*p^19*q^54+248084*p^17*q^56+10388364*p^15*q^58+3126252*p^13*q^60+ 34906*p^11*q^62+94*p^9*q^64+1400*p^18*q^54+2312102*p^16*q^56+9531560*p^14*q^58+ 625628*p^12*q^60+7816*p^10*q^62+92648*p^17*q^54+7371380*p^15*q^56+3625101*p^13* q^58+82054*p^11*q^60+996*p^9*q^62+435*p^18*q^52+969526*p^16*q^54+8759098*p^14*q ^56+890790*p^12*q^58+3288*p^10*q^60+21050*p^17*q^52+4611666*p^15*q^54+4545504*p ^13*q^56+127471*p^11*q^58+1884*p^9*q^60+359810*p^16*q^52+7679738*p^14*q^54+ 1038917*p^12*q^56+7796*p^10*q^58+40*p^8*q^60+3136*p^17*q^50+2541662*p^15*q^52+ 4933142*p^13*q^54+197022*p^11*q^56+186*p^9*q^58+p^18*q^48+134052*p^16*q^50+ 5890878*p^14*q^52+1417592*p^12*q^54+19524*p^10*q^56+312*p^8*q^58+540*p^17*q^48+ 1075144*p^15*q^50+5106186*p^13*q^52+259969*p^11*q^54+300*p^9*q^56+22091*p^16*q^ 48+4252170*p^14*q^50+1897106*p^12*q^52+30524*p^10*q^54+12*p^17*q^46+498324*p^15 *q^48+4686324*p^13*q^50+295290*p^11*q^52+1903*p^9*q^54+22*p^7*q^56+6640*p^16*q^ 46+2277921*p^14*q^48+2287162*p^12*q^50+61854*p^10*q^52+130099*p^15*q^46+4338744 *p^13*q^48+493900*p^11*q^50+2732*p^9*q^52+225*p^16*q^44+1216768*p^14*q^46+ 2419492*p^12*q^48+47008*p^10*q^50+84*p^8*q^52+38382*p^15*q^44+3111431*p^13*q^46 +716610*p^11*q^48+11453*p^9*q^50+42*p^16*q^42+486738*p^14*q^44+2660846*p^12*q^ 46+85576*p^10*q^48+104*p^8*q^50+5065*p^15*q^42+1969510*p^13*q^44+881224*p^11*q^ 46+9038*p^9*q^48+151056*p^14*q^42+2607678*p^12*q^44+152622*p^10*q^46+1202*p^8*q ^48+476*p^15*q^40+1106548*p^13*q^42+1024510*p^11*q^44+9038*p^9*q^46+39889*p^14* q^40+2028192*p^12*q^42+238632*p^10*q^44+2120*p^8*q^46+35*p^15*q^38+429376*p^13* q^40+1335536*p^11*q^42+21528*p^9*q^44+44*p^7*q^46+3836*p^14*q^38+1520168*p^12*q ^40+277156*p^10*q^42+426*p^8*q^44+161034*p^13*q^38+1292848*p^11*q^40+43734*p^9* q^42+340*p^7*q^44+700*p^14*q^36+807156*p^12*q^38+428907*p^10*q^40+1984*p^8*q^42 +26698*p^13*q^36+1263863*p^11*q^38+63620*p^9*q^40+390887*p^12*q^36+516296*p^10* q^38+4466*p^8*q^40+24*p^6*q^42+5048*p^13*q^34+920818*p^11*q^36+88909*p^9*q^38+ 92*p^7*q^40+113288*p^12*q^34+639960*p^10*q^36+12110*p^8*q^38+280*p^13*q^32+ 583441*p^11*q^34+135188*p^9*q^36+188*p^7*q^38+22354*p^12*q^32+636056*p^10*q^34+ 13949*p^8*q^36+274342*p^11*q^32+196837*p^9*q^34+1352*p^7*q^36+3360*p^12*q^30+ 511587*p^10*q^32+23676*p^8*q^34+70274*p^11*q^30+278652*p^9*q^32+2395*p^7*q^34+ 28*p^12*q^28+378132*p^10*q^30+35766*p^8*q^32+48*p^6*q^34+16664*p^11*q^28+263534 *p^9*q^30+2520*p^7*q^32+146342*p^10*q^28+80204*p^8*q^30+368*p^6*q^32+868*p^11*q ^26+289566*p^9*q^28+3622*p^7*q^30+46360*p^10*q^26+85076*p^8*q^28+128*p^6*q^30+ 183156*p^9*q^26+14618*p^7*q^28+26*p^5*q^30+6302*p^10*q^24+122668*p^8*q^26+176*p ^6*q^28+78532*p^9*q^24+19666*p^7*q^26+72*p^10*q^22+130728*p^8*q^24+1424*p^6*q^ 26+20748*p^9*q^22+28130*p^7*q^24+79680*p^8*q^22+3692*p^6*q^24+984*p^9*q^20+ 53474*p^7*q^22+52*p^5*q^24+36570*p^8*q^20+3076*p^6*q^22+p^9*q^18+46860*p^7*q^20 +478*p^5*q^22+4452*p^8*q^18+12579*p^6*q^20+35838*p^7*q^18+106*p^5*q^20+45*p^8*q ^16+16064*p^6*q^18+28*p^4*q^20+9504*p^7*q^16+1557*p^5*q^18+19363*p^6*q^16+330*p ^7*q^14+3380*p^5*q^16+10780*p^6*q^14+71*p^4*q^16+5512*p^5*q^14+924*p^6*q^12+452 *p^4*q^14+6812*p^5*q^12+728*p^4*q^12+1287*p^5*q^10+30*p^3*q^12+2394*p^4*q^10+30 *p^3*q^10+1001*p^4*q^8+436*p^3*q^8+455*p^3*q^6+32*p^2*q^6+120*p^2*q^4+17*p*q^2+ 1 J[19](p, q), equals p^171*q^2280+18*p^170*q^2278+136*p^169*q^2276+34*p^169*q^2274+560*p^168*q^2274+ 497*p^168*q^2272+1365*p^167*q^2272+32*p^168*q^2270+2970*p^167*q^2270+32*p^168*q ^2268+2002*p^166*q^2270+840*p^167*q^2268+9373*p^166*q^2268+514*p^167*q^2266+ 1716*p^165*q^2268+6972*p^166*q^2266+76*p^167*q^2264+16874*p^165*q^2266+4116*p^ 166*q^2264+792*p^164*q^2266+27353*p^165*q^2264+1802*p^166*q^2262+17523*p^164*q^ 2264+30*p^167*q^2260+21320*p^165*q^2262+165*p^163*q^2264+114*p^166*q^2260+57852 *p^164*q^2262+15830*p^165*q^2260+10164*p^163*q^2262+542*p^166*q^2258+69784*p^ 164*q^2260+10*p^162*q^2262+3618*p^165*q^2258+69234*p^163*q^2260+56*p^166*q^2256 +74178*p^164*q^2258+3030*p^162*q^2260+4466*p^165*q^2256+137280*p^163*q^2258+ 36566*p^164*q^2256+47400*p^162*q^2258+1644*p^165*q^2254+205296*p^163*q^2256+378 *p^161*q^2258+25352*p^164*q^2254+160174*p^162*q^2256+190*p^165*q^2252+178480*p^ 163*q^2254+18162*p^161*q^2256+28*p^166*q^2250+18150*p^164*q^2252+338032*p^162*q ^2254+9*p^160*q^2256+138*p^165*q^2250+118704*p^163*q^2252+112836*p^161*q^2254+ 4258*p^164*q^2250+482162*p^162*q^2252+3528*p^160*q^2254+424*p^165*q^2248+108234 *p^163*q^2250+328500*p^161*q^2252+2909*p^164*q^2248+412120*p^162*q^2250+48940*p ^160*q^2252+52*p^165*q^2246+45780*p^163*q^2248+744522*p^161*q^2250+252*p^159*q^ 2252+2946*p^164*q^2246+414994*p^162*q^2248+193956*p^160*q^2250+29444*p^163*q^ 2246+926940*p^161*q^2248+12544*p^159*q^2250+1566*p^164*q^2244+277878*p^162*q^ 2246+658584*p^160*q^2248+17779*p^163*q^2244+1075850*p^161*q^2246+74778*p^159*q^ 2248+204*p^164*q^2242+183452*p^162*q^2244+1263504*p^160*q^2246+1596*p^158*q^ 2248+15104*p^163*q^2242+1016700*p^161*q^2244+339698*p^159*q^2246+100*p^164*q^ 2240+118008*p^162*q^2242+1832502*p^160*q^2244+20036*p^158*q^2246+26*p^165*q^ 2238+5220*p^163*q^2240+778290*p^161*q^2242+1026156*p^159*q^2244+56*p^157*q^2246 +84966*p^162*q^2240+2323718*p^160*q^2242+104300*p^158*q^2244+2304*p^163*q^2238+ 618795*p^161*q^2240+1958120*p^159*q^2242+3500*p^157*q^2244+394*p^164*q^2236+ 55558*p^162*q^2238+2227905*p^160*q^2240+511956*p^158*q^2242+464*p^163*q^2236+ 394360*p^161*q^2238+3327162*p^159*q^2240+20062*p^157*q^2242+48*p^164*q^2234+ 26654*p^162*q^2236+2163590*p^160*q^2238+1289074*p^158*q^2240+280*p^156*q^2242+ 2636*p^163*q^2234+330274*p^161*q^2236+4135404*p^159*q^2238+157500*p^157*q^2240+ 10704*p^162*q^2234+1592056*p^160*q^2236+2955666*p^158*q^2238+2982*p^156*q^2240+ 1404*p^163*q^2232+203226*p^161*q^2234+4908498*p^159*q^2236+552350*p^157*q^2238+ 11777*p^162*q^2232+1335232*p^160*q^2234+4863347*p^158*q^2236+27580*p^156*q^2238 +114*p^163*q^2230+110248*p^161*q^2232+4696218*p^159*q^2234+1613150*p^157*q^2236 +378*p^155*q^2238+14318*p^162*q^2230+1045148*p^160*q^2232+7074586*p^158*q^2234+ 164622*p^156*q^2236+92*p^163*q^2228+61354*p^161*q^2230+4087166*p^159*q^2232+ 3658860*p^157*q^2234+2240*p^155*q^2236+3236*p^162*q^2228+693254*p^160*q^2230+ 9028579*p^158*q^2232+552566*p^156*q^2234+21*p^154*q^2236+82350*p^161*q^2228+ 3720738*p^159*q^2230+6412424*p^157*q^2232+33870*p^155*q^2234+24*p^164*q^2224+ 2218*p^162*q^2226+402889*p^160*q^2228+9167064*p^158*q^2230+1793816*p^156*q^2232 +84*p^154*q^2234+38878*p^161*q^2226+2948414*p^159*q^2228+10796256*p^157*q^2230+ 123586*p^155*q^2232+330*p^162*q^2224+363274*p^160*q^2226+9455256*p^158*q^2228+ 3771924*p^156*q^2230+3960*p^154*q^2232+364*p^163*q^2222+24222*p^161*q^2224+ 2114094*p^159*q^2226+13855619*p^157*q^2228+583642*p^155*q^2230+7*p^153*q^2232+ 204*p^162*q^2222+268952*p^160*q^2224+8714870*p^158*q^2226+7998022*p^156*q^2228+ 20738*p^154*q^2230+44*p^163*q^2220+9250*p^161*q^2222+1533084*p^159*q^2224+ 16776376*p^157*q^2226+1518348*p^155*q^2228+152*p^153*q^2230+2368*p^162*q^2220+ 169364*p^160*q^2222+7612340*p^158*q^2224+13385446*p^156*q^2226+119925*p^154*q^ 2228+3834*p^161*q^2220+1300062*p^159*q^2222+18049446*p^157*q^2224+3818468*p^155 *q^2226+2962*p^153*q^2228+1180*p^162*q^2218+105212*p^160*q^2220+5857110*p^158*q ^2222+19656208*p^156*q^2224+450330*p^154*q^2226+10330*p^161*q^2218+893424*p^159 *q^2220+18501064*p^157*q^2222+8263769*p^155*q^2224+13450*p^153*q^2226+104*p^162 *q^2216+43370*p^160*q^2218+4936240*p^158*q^2220+25748510*p^156*q^2222+1220489*p ^154*q^2224+234*p^152*q^2226+10660*p^161*q^2216+693224*p^159*q^2218+17040072*p^ 157*q^2220+14758236*p^155*q^2222+101656*p^153*q^2224+84*p^162*q^2214+50858*p^ 160*q^2216+3784910*p^158*q^2218+30359377*p^156*q^2220+3447004*p^154*q^2222+771* p^152*q^2224+2890*p^161*q^2214+357657*p^159*q^2216+14929950*p^157*q^2218+ 24333258*p^155*q^2220+267502*p^153*q^2222+53676*p^160*q^2214+3145748*p^158*q^ 2216+34015522*p^156*q^2218+7184170*p^154*q^2220+15440*p^152*q^2222+1892*p^161*q ^2212+295730*p^159*q^2214+12763217*p^157*q^2216+33602480*p^155*q^2218+1023149*p ^153*q^2220+78*p^151*q^2222+31174*p^160*q^2212+2099812*p^158*q^2214+33851042*p^ 156*q^2216+15003148*p^154*q^2218+44820*p^152*q^2220+22*p^163*q^2208+346*p^161*q ^2210+239008*p^159*q^2212+10873446*p^157*q^2214+44883699*p^155*q^2216+2432300*p ^153*q^2218+1110*p^151*q^2220+19984*p^160*q^2210+1533491*p^158*q^2212+32540700* p^156*q^2214+24956848*p^154*q^2216+208170*p^152*q^2218+6*p^150*q^2220+120*p^161 *q^2208+186638*p^159*q^2210+8828363*p^157*q^2212+53340790*p^155*q^2214+6071080* p^153*q^2216+7070*p^151*q^2218+334*p^162*q^2206+8863*p^160*q^2208+1210504*p^158 *q^2210+29553964*p^156*q^2212+39177218*p^154*q^2214+638483*p^152*q^2216+80*p^ 161*q^2206+138096*p^159*q^2208+6495160*p^157*q^2210+59132274*p^155*q^2212+ 12692644*p^153*q^2214+25045*p^151*q^2216+40*p^162*q^2204+2432*p^160*q^2206+ 855124*p^158*q^2208+27119786*p^156*q^2210+55815892*p^154*q^2212+1653794*p^152*q ^2214+930*p^150*q^2216+2094*p^161*q^2204+93278*p^159*q^2206+5500912*p^157*q^ 2208+60466860*p^155*q^2210+22865740*p^153*q^2212+136692*p^151*q^2214+2254*p^160 *q^2204+713178*p^158*q^2206+21894754*p^156*q^2208+73132052*p^154*q^2210+4561530 *p^152*q^2212+1300*p^150*q^2214+1080*p^161*q^2202+34980*p^159*q^2204+3814758*p^ 157*q^2206+61398615*p^155*q^2208+39135672*p^153*q^2210+318473*p^151*q^2212+60*p ^149*q^2214+7292*p^160*q^2202+573002*p^158*q^2204+19293204*p^156*q^2206+ 87207802*p^154*q^2208+9212276*p^152*q^2210+21300*p^150*q^2212+94*p^161*q^2200+ 27474*p^159*q^2202+3084010*p^157*q^2204+56467260*p^155*q^2206+59980645*p^153*q^ 2208+1178560*p^151*q^2210+9730*p^160*q^2200+328160*p^158*q^2202+15231772*p^156* q^2204+99475618*p^154*q^2206+18921679*p^152*q^2208+50080*p^150*q^2210+76*p^161* q^2198+23012*p^159*q^2200+2555714*p^157*q^2202+51842016*p^155*q^2204+85436352*p ^153*q^2206+2707007*p^151*q^2208+1900*p^149*q^2210+2562*p^160*q^2198+215302*p^ 158*q^2200+11927588*p^156*q^2202+106408700*p^154*q^2204+33393590*p^152*q^2206+ 211694*p^150*q^2208+44818*p^159*q^2198+1935140*p^157*q^2200+46709156*p^155*q^ 2202+110846259*p^153*q^2204+6478934*p^151*q^2206+7525*p^149*q^2208+1700*p^160*q ^2196+140216*p^158*q^2198+9766801*p^156*q^2200+105897552*p^154*q^2202+56278124* p^152*q^2204+625194*p^150*q^2206+60*p^148*q^2208+27040*p^159*q^2196+1311756*p^ 157*q^2198+38997516*p^155*q^2200+139445588*p^153*q^2202+13264642*p^151*q^2204+ 24708*p^149*q^2206+212*p^160*q^2194+148340*p^158*q^2196+8040498*p^156*q^2198+ 105671371*p^154*q^2200+84577624*p^152*q^2202+1575594*p^150*q^2204+930*p^148*q^ 2206+17478*p^159*q^2194+941178*p^157*q^2196+33050392*p^155*q^2198+157235864*p^ 153*q^2200+25601648*p^151*q^2202+118448*p^149*q^2204+20*p^162*q^2190+108*p^160* q^2192+155848*p^158*q^2194+6254789*p^156*q^2196+97855262*p^154*q^2198+122803613 *p^152*q^2200+4010130*p^150*q^2202+1700*p^148*q^2204+6178*p^159*q^2192+617432*p ^157*q^2194+27134047*p^155*q^2196+174942182*p^153*q^2198+45056324*p^151*q^2200+ 267208*p^149*q^2202+60*p^147*q^2204+72*p^160*q^2190+113677*p^158*q^2192+4809718 *p^156*q^2194+90768271*p^154*q^2196+162154470*p^152*q^2198+8287675*p^150*q^2200 +17228*p^148*q^2202+304*p^161*q^2188+2046*p^159*q^2190+654852*p^157*q^2192+ 23129678*p^155*q^2194+180266056*p^153*q^2196+73977376*p^151*q^2198+955352*p^149 *q^2200+40*p^147*q^2202+69774*p^158*q^2190+3261622*p^156*q^2192+77903938*p^154* q^2194+204554936*p^152*q^2196+17415148*p^150*q^2198+35171*p^148*q^2200+36*p^161 *q^2186+1964*p^159*q^2188+543096*p^157*q^2190+19020368*p^155*q^2192+185149040*p ^153*q^2194+113719370*p^151*q^2196+2014278*p^149*q^2198+1755*p^147*q^2200+1908* p^160*q^2186+25652*p^158*q^2188+2672748*p^156*q^2190+68786027*p^154*q^2192+ 239923190*p^152*q^2194+31884410*p^150*q^2196+163316*p^148*q^2198+294*p^159*q^ 2186+444916*p^157*q^2188+14682594*p^155*q^2190+177892099*p^153*q^2192+164336068 *p^151*q^2194+4941492*p^149*q^2196+4832*p^147*q^2198+980*p^160*q^2184+23800*p^ 158*q^2186+2273272*p^156*q^2188+60018726*p^154*q^2190+270055289*p^152*q^2192+ 56134720*p^150*q^2194+418178*p^148*q^2196+110*p^146*q^2198+6660*p^159*q^2184+ 233964*p^157*q^2186+11138236*p^155*q^2188+164798058*p^153*q^2190+223879234*p^ 151*q^2192+10341932*p^149*q^2194+15814*p^147*q^2196+84*p^160*q^2182+7880*p^158* q^2184+1970712*p^156*q^2186+51070612*p^154*q^2188+297478798*p^152*q^2190+ 90680133*p^150*q^2192+1006402*p^148*q^2194+650*p^146*q^2196+8696*p^159*q^2182+ 177714*p^157*q^2184+9267244*p^155*q^2186+152780966*p^153*q^2188+280058068*p^151 *q^2190+20529634*p^149*q^2192+80482*p^147*q^2194+68*p^160*q^2180+17636*p^158*q^ 2182+1440829*p^156*q^2184+40958590*p^154*q^2186+301878571*p^152*q^2188+ 144948426*p^150*q^2190+2607972*p^148*q^2192+476*p^146*q^2194+2256*p^159*q^2180+ 98684*p^157*q^2182+7479205*p^155*q^2184+138711322*p^153*q^2186+348611831*p^151* q^2188+36448106*p^149*q^2190+146185*p^147*q^2192+70*p^145*q^2194+38450*p^158*q^ 2180+1016908*p^156*q^2182+34366140*p^154*q^2184+304173028*p^152*q^2186+ 204290656*p^150*q^2188+5679782*p^148*q^2190+11814*p^146*q^2192+1464*p^159*q^ 2178+71610*p^157*q^2180+6403386*p^155*q^2182+121543351*p^153*q^2184+400858554*p ^151*q^2186+65694302*p^149*q^2188+513338*p^147*q^2190+23032*p^158*q^2178+738574 *p^156*q^2180+27314290*p^154*q^2182+295058128*p^152*q^2184+285982638*p^150*q^ 2186+11540830*p^148*q^2188+18736*p^146*q^2190+5*p^144*q^2192+188*p^159*q^2176+ 115756*p^157*q^2178+4806776*p^155*q^2180+105622728*p^153*q^2182+446826198*p^151 *q^2184+106641986*p^149*q^2186+1185494*p^147*q^2188+868*p^145*q^2190+14574*p^ 158*q^2176+458572*p^156*q^2178+23350241*p^154*q^2180+281404994*p^152*q^2182+ 373347607*p^150*q^2184+21880838*p^148*q^2186+73848*p^146*q^2188+96*p^159*q^2174 +120384*p^157*q^2176+3841510*p^155*q^2178+89764151*p^153*q^2180+476408288*p^151 *q^2182+165102234*p^149*q^2184+2918204*p^147*q^2186+2900*p^145*q^2188+5384*p^ 158*q^2174+419790*p^156*q^2176+19084352*p^154*q^2178+259220736*p^152*q^2180+ 467412316*p^150*q^2182+41172790*p^148*q^2184+195946*p^146*q^2186+18*p^161*q^ 2170+64*p^159*q^2172+92078*p^157*q^2174+2659256*p^155*q^2176+75181122*p^153*q^ 2178+494988028*p^151*q^2180+245934844*p^149*q^2182+5801453*p^147*q^2184+7096*p^ 145*q^2186+1790*p^158*q^2172+427866*p^156*q^2174+15618592*p^154*q^2176+ 238555268*p^152*q^2178+556835064*p^150*q^2180+69318930*p^148*q^2182+539762*p^ 146*q^2184+420*p^144*q^2186+57084*p^157*q^2172+2118860*p^155*q^2174+64767659*p^ 153*q^2176+494845192*p^151*q^2178+342452914*p^149*q^2180+12219672*p^147*q^2182+ 28338*p^145*q^2184+274*p^160*q^2168+1796*p^158*q^2170+414656*p^156*q^2172+ 12170122*p^154*q^2174+208568289*p^152*q^2176+639696868*p^150*q^2178+117011782*p ^148*q^2180+1318428*p^146*q^2182+392*p^144*q^2184+21968*p^157*q^2170+1612836*p^ 155*q^2172+53807234*p^153*q^2174+488543136*p^151*q^2176+463872184*p^149*q^2178+ 22223408*p^147*q^2180+62618*p^145*q^2182+30*p^143*q^2184+32*p^160*q^2166+240*p^ 158*q^2168+337228*p^156*q^2170+9814188*p^154*q^2172+186122390*p^152*q^2174+ 706233086*p^150*q^2176+179862468*p^148*q^2178+2839696*p^146*q^2180+3492*p^144*q ^2182+1722*p^159*q^2166+20960*p^157*q^2168+1556456*p^155*q^2170+45091570*p^153* q^2172+464535782*p^151*q^2174+587918580*p^149*q^2176+41928218*p^147*q^2178+ 251536*p^145*q^2180+152*p^158*q^2166+187676*p^156*q^2168+7378778*p^154*q^2170+ 160429466*p^152*q^2172+755675126*p^150*q^2174+274572614*p^148*q^2176+5775336*p^ 146*q^2178+4172*p^144*q^2180+880*p^159*q^2164+7126*p^157*q^2166+1414806*p^155*q ^2168+37060232*p^153*q^2170+436252478*p^151*q^2172+729880360*p^149*q^2174+ 70441786*p^147*q^2176+526718*p^145*q^2178+336*p^143*q^2180+5836*p^158*q^2164+ 147558*p^156*q^2166+5981110*p^154*q^2168+139731058*p^152*q^2170+785949964*p^150 *q^2172+387680312*p^148*q^2174+11683738*p^146*q^2176+32862*p^144*q^2178+74*p^ 159*q^2162+3132*p^157*q^2164+1053772*p^155*q^2166+30635484*p^153*q^2168+ 399588402*p^151*q^2170+856726207*p^149*q^2172+118515236*p^147*q^2174+1249126*p^ 145*q^2176+212*p^143*q^2178+7840*p^158*q^2162+90642*p^156*q^2164+5343658*p^154* q^2166+118765648*p^152*q^2168+794676188*p^150*q^2170+534591171*p^148*q^2172+ 21997430*p^146*q^2174+86034*p^144*q^2176+20*p^142*q^2178+60*p^159*q^2160+12842* p^157*q^2162+791506*p^155*q^2164+23728896*p^153*q^2166+361159572*p^151*q^2168+ 983861078*p^149*q^2170+187685099*p^147*q^2172+2577894*p^145*q^2174+2052*p^143*q ^2176+1954*p^158*q^2160+38172*p^156*q^2162+4388448*p^154*q^2164+102585616*p^152 *q^2166+788569003*p^150*q^2168+701772494*p^148*q^2170+38417351*p^146*q^2172+ 208762*p^144*q^2174+10*p^142*q^2176+34404*p^157*q^2160+639560*p^155*q^2162+ 20324557*p^153*q^2164+324026670*p^151*q^2166+1078602830*p^149*q^2168+283149464* p^147*q^2170+5761926*p^145*q^2172+12950*p^143*q^2174+1304*p^158*q^2158+36842*p^ 156*q^2160+3543390*p^154*q^2162+84384954*p^152*q^2164+753267988*p^150*q^2166+ 889911164*p^148*q^2168+69530364*p^146*q^2170+475312*p^144*q^2172+24*p^142*q^ 2174+19576*p^157*q^2158+342842*p^155*q^2160+16472756*p^153*q^2162+286338002*p^ 151*q^2164+1175811444*p^149*q^2166+413395558*p^147*q^2168+9937094*p^145*q^2170+ 22384*p^143*q^2172+164*p^158*q^2156+93072*p^156*q^2158+3032270*p^154*q^2160+ 71867210*p^152*q^2162+719901967*p^150*q^2164+1075570644*p^148*q^2166+112486382* p^146*q^2168+1220512*p^144*q^2170+1344*p^142*q^2172+12952*p^157*q^2156+232952*p ^155*q^2158+13852672*p^153*q^2160+250315936*p^151*q^2162+1213867457*p^149*q^ 2164+582545464*p^147*q^2166+20102960*p^145*q^2168+79966*p^143*q^2170+84*p^158*q ^2154+99368*p^156*q^2156+2185752*p^154*q^2158+59291124*p^152*q^2160+668050084*p ^150*q^2162+1275663987*p^148*q^2164+181133706*p^146*q^2166+2281867*p^144*q^2168 +1256*p^142*q^2170+4768*p^157*q^2154+244176*p^155*q^2156+11572124*p^153*q^2158+ 217810329*p^151*q^2160+1244637404*p^149*q^2162+780531822*p^147*q^2164+35491812* p^145*q^2166+192742*p^143*q^2168+60*p^141*q^2170+56*p^158*q^2152+77980*p^156*q^ 2154+1491376*p^154*q^2156+49654098*p^152*q^2158+614284657*p^150*q^2160+ 1460902480*p^148*q^2162+277842817*p^146*q^2164+4564030*p^144*q^2166+10698*p^142 *q^2168+1516*p^157*q^2152+326274*p^155*q^2154+9881044*p^153*q^2156+188508644*p^ 151*q^2158+1240083977*p^149*q^2160+1007873284*p^147*q^2162+61473540*p^145*q^ 2164+476238*p^143*q^2166+48*p^141*q^2168+16*p^160*q^2148+50863*p^156*q^2152+ 1082844*p^154*q^2154+41144533*p^152*q^2156+554073032*p^150*q^2158+1611728614*p^ 148*q^2160+418294540*p^146*q^2162+9285240*p^144*q^2164+24978*p^142*q^2166+1536* p^157*q^2150+315840*p^155*q^2152+7536228*p^153*q^2154+160474106*p^151*q^2156+ 1213629964*p^149*q^2158+1276593425*p^147*q^2160+101153100*p^145*q^2162+864241*p ^143*q^2164+732*p^141*q^2166+17900*p^156*q^2150+1029082*p^154*q^2152+35246986*p ^152*q^2154+501605870*p^150*q^2156+1752393232*p^148*q^2158+585721317*p^146*q^ 2160+16750434*p^144*q^2162+75152*p^142*q^2164+244*p^159*q^2146+152*p^157*q^2148 +291520*p^155*q^2150+5660688*p^153*q^2152+137330314*p^151*q^2154+1159106795*p^ 149*q^2156+1539930896*p^147*q^2158+167219387*p^145*q^2160+2037556*p^143*q^2162+ 3618*p^141*q^2164+18238*p^156*q^2148+1040494*p^154*q^2150+29998212*p^152*q^2152 +442532528*p^150*q^2154+1840483170*p^148*q^2156+817811040*p^146*q^2158+30085360 *p^144*q^2160+153818*p^142*q^2162+28*p^159*q^2144+132*p^157*q^2146+150128*p^155 *q^2148+4237068*p^153*q^2150+113958856*p^151*q^2152+1099159660*p^149*q^2154+ 1824730603*p^147*q^2156+258214684*p^145*q^2158+3712634*p^143*q^2160+6642*p^141* q^2162+1536*p^158*q^2144+5088*p^156*q^2146+1093190*p^154*q^2148+24511988*p^152* q^2150+397229368*p^150*q^2152+1903243910*p^148*q^2154+1076553064*p^146*q^2156+ 51590390*p^144*q^2158+378934*p^142*q^2160+468*p^140*q^2162+52*p^157*q^2144+ 128640*p^155*q^2146+3744078*p^153*q^2148+99742262*p^151*q^2150+1015168281*p^149 *q^2152+2086402074*p^147*q^2154+390372928*p^145*q^2156+7674386*p^143*q^2158+ 24597*p^141*q^2160+780*p^158*q^2142+2650*p^156*q^2144+822046*p^154*q^2146+ 18780079*p^152*q^2148+339241232*p^150*q^2150+1916312353*p^148*q^2152+1399929042 *p^146*q^2154+88302402*p^144*q^2156+695492*p^142*q^2158+228*p^140*q^2160+5212*p ^157*q^2142+68448*p^155*q^2144+3514812*p^153*q^2146+85793156*p^151*q^2148+ 946208924*p^149*q^2150+2336128043*p^147*q^2152+564909438*p^145*q^2154+13126456* p^143*q^2156+60960*p^141*q^2158+30*p^139*q^2160+64*p^158*q^2140+1432*p^156*q^ 2142+653744*p^154*q^2144+15120540*p^152*q^2146+295655417*p^150*q^2148+ 1892047120*p^148*q^2150+1740249177*p^146*q^2152+143627274*p^144*q^2154+1593248* p^142*q^2156+2520*p^140*q^2158+6932*p^157*q^2140+30330*p^155*q^2142+3201540*p^ 153*q^2144+71735806*p^151*q^2146+861829685*p^149*q^2148+2549507182*p^147*q^2150 +793519224*p^145*q^2152+24103182*p^143*q^2154+125994*p^141*q^2156+52*p^158*q^ 2138+11246*p^156*q^2140+504504*p^154*q^2142+12807967*p^152*q^2144+258039940*p^ 150*q^2146+1832233955*p^148*q^2148+2120112214*p^146*q^2150+227912345*p^144*q^ 2152+3064232*p^142*q^2154+8430*p^140*q^2156+1720*p^157*q^2138+20540*p^155*q^ 2140+2651368*p^153*q^2142+57854496*p^151*q^2144+770030846*p^149*q^2146+ 2718488918*p^147*q^2148+1087042596*p^145*q^2150+41977536*p^143*q^2152+240204*p^ 141*q^2154+82*p^139*q^2156+29820*p^156*q^2138+253700*p^154*q^2140+11059100*p^ 152*q^2142+227001454*p^150*q^2144+1774146724*p^148*q^2146+2506790249*p^146*q^ 2148+342395286*p^144*q^2150+5383300*p^142*q^2152+21842*p^140*q^2154+1144*p^157* q^2136+25594*p^155*q^2138+2434936*p^153*q^2140+48757430*p^151*q^2142+688095522* p^149*q^2144+2815775504*p^147*q^2146+1422873068*p^145*q^2148+72961302*p^143*q^ 2150+669636*p^141*q^2152+976*p^139*q^2154+17244*p^156*q^2136+187168*p^154*q^ 2138+9460940*p^152*q^2140+192179448*p^150*q^2142+1666299964*p^148*q^2144+ 2908620976*p^146*q^2146+515762435*p^144*q^2148+10169558*p^142*q^2150+30468*p^ 140*q^2152+140*p^157*q^2134+76296*p^155*q^2136+1558670*p^153*q^2138+40051658*p^ 151*q^2140+613514538*p^149*q^2142+2885208107*p^147*q^2144+1838061874*p^145*q^ 2146+115830319*p^143*q^2148+1033352*p^141*q^2150+2584*p^139*q^2152+11332*p^156* q^2134+123289*p^154*q^2136+8972182*p^152*q^2138+164730812*p^150*q^2140+ 1563837478*p^148*q^2142+3263979895*p^146*q^2144+726963962*p^144*q^2146+18925896 *p^142*q^2148+115434*p^140*q^2150+68*p^138*q^2152+72*p^157*q^2132+84598*p^155*q ^2134+1181314*p^153*q^2136+33387728*p^151*q^2138+545976302*p^149*q^2140+ 2884145936*p^147*q^2142+2291586631*p^145*q^2144+190504192*p^143*q^2146+2122428* p^141*q^2148+5814*p^139*q^2150+4104*p^156*q^2132+176840*p^154*q^2134+7102889*p^ 152*q^2136+139579530*p^150*q^2138+1428654545*p^148*q^2140+3606472542*p^146*q^ 2142+1015854301*p^144*q^2144+32158072*p^142*q^2146+189128*p^140*q^2148+124*p^ 138*q^2150+48*p^157*q^2130+67416*p^155*q^2132+780708*p^153*q^2134+29741540*p^ 151*q^2136+477372422*p^149*q^2138+2862760349*p^147*q^2140+2805694798*p^145*q^ 2142+290433495*p^143*q^2144+4083002*p^141*q^2146+13360*p^139*q^2148+1296*p^156* q^2130+250870*p^154*q^2132+5585510*p^152*q^2134+116444430*p^150*q^2136+ 1321075124*p^148*q^2138+3860339145*p^146*q^2140+1370269982*p^144*q^2142+ 55269026*p^142*q^2144+379142*p^140*q^2146+1076*p^138*q^2148+43178*p^155*q^2130+ 664988*p^153*q^2132+26135410*p^151*q^2134+421595889*p^149*q^2136+2767788902*p^ 147*q^2138+3338499451*p^145*q^2140+434750414*p^143*q^2142+7625733*p^141*q^2144+ 33246*p^139*q^2146+1284*p^156*q^2128+260440*p^154*q^2130+4243156*p^152*q^2132+ 98553322*p^150*q^2134+1191493331*p^148*q^2136+4084193388*p^146*q^2138+ 1800854847*p^144*q^2140+94042532*p^142*q^2142+781080*p^140*q^2144+1624*p^138*q^ 2146+14*p^159*q^2124+15840*p^155*q^2128+695678*p^153*q^2130+21467500*p^151*q^ 2132+363360308*p^149*q^2134+2656472686*p^147*q^2136+3900425590*p^145*q^2138+ 634156088*p^143*q^2140+12934752*p^141*q^2142+53960*p^139*q^2144+88*p^137*q^2146 +128*p^156*q^2126+239172*p^154*q^2128+3144910*p^152*q^2130+86768158*p^150*q^ 2132+1082551530*p^148*q^2134+4231262489*p^146*q^2136+2309562566*p^144*q^2138+ 147131003*p^142*q^2140+1536700*p^140*q^2142+4428*p^138*q^2144+14902*p^155*q^ 2126+746054*p^153*q^2128+18248260*p^151*q^2130+312631757*p^149*q^2132+ 2515923556*p^147*q^2134+4401085637*p^145*q^2136+896761838*p^143*q^2138+24809015 *p^141*q^2140+145468*p^139*q^2142+376*p^137*q^2144+214*p^158*q^2122+112*p^156*q ^2124+131956*p^154*q^2126+2745128*p^152*q^2128+73318366*p^150*q^2130+968821967* p^148*q^2132+4291148714*p^146*q^2134+2917160432*p^144*q^2136+233434322*p^142*q^ 2138+2652425*p^140*q^2140+5080*p^138*q^2142+4380*p^155*q^2124+837840*p^153*q^ 2126+13724167*p^151*q^2128+270236210*p^149*q^2130+2354871684*p^147*q^2132+ 4937664532*p^145*q^2134+1227287090*p^143*q^2136+40751654*p^141*q^2138+255658*p^ 139*q^2140+294*p^137*q^2142+24*p^158*q^2120+44*p^156*q^2122+103812*p^154*q^2124 +2316444*p^152*q^2126+64629966*p^150*q^2128+865969046*p^148*q^2130+4303287074*p ^146*q^2132+3560950452*p^144*q^2134+351834477*p^142*q^2136+5238758*p^140*q^2138 +26110*p^138*q^2140+60*p^136*q^2142+1350*p^157*q^2120+2226*p^155*q^2122+679256* p^153*q^2124+11805940*p^151*q^2126+233775714*p^149*q^2128+2191698044*p^147*q^ 2130+5341790231*p^145*q^2132+1659052316*p^143*q^2134+69897847*p^141*q^2136+ 514706*p^139*q^2138+192*p^137*q^2140+44*p^156*q^2120+57448*p^154*q^2122+2372170 *p^152*q^2124+52352588*p^150*q^2126+761547264*p^148*q^2128+4232224976*p^146*q^ 2130+4286210331*p^144*q^2132+521785690*p^142*q^2134+9435798*p^140*q^2136+38586* p^138*q^2138+680*p^157*q^2118+1236*p^155*q^2120+526824*p^153*q^2122+9310026*p^ 151*q^2124+203974756*p^149*q^2126+2023622617*p^147*q^2128+5742348084*p^145*q^ 2130+2174689235*p^143*q^2132+111127148*p^141*q^2134+912716*p^139*q^2136+3634*p^ 137*q^2138+4*p^135*q^2140+4544*p^156*q^2118+25852*p^154*q^2120+2360602*p^152*q^ 2122+44661076*p^150*q^2124+672786016*p^148*q^2126+4117981361*p^146*q^2128+ 5027234484*p^144*q^2130+742622407*p^142*q^2132+17274798*p^140*q^2134+84719*p^ 138*q^2136+54*p^157*q^2116+1052*p^155*q^2118+402818*p^153*q^2120+7854200*p^151* q^2122+175252013*p^149*q^2124+1854531592*p^147*q^2126+5999502079*p^145*q^2128+ 2807379256*p^143*q^2130+177876467*p^141*q^2132+1821670*p^139*q^2134+6936*p^137* q^2136+6084*p^156*q^2116+17450*p^154*q^2118+2084582*p^152*q^2120+37249066*p^150 *q^2122+592497937*p^148*q^2124+3952376988*p^146*q^2126+5769910334*p^144*q^2128+ 1045075752*p^142*q^2130+29526283*p^140*q^2132+156570*p^138*q^2134+264*p^136*q^ 2136+44*p^157*q^2114+9032*p^155*q^2116+217350*p^153*q^2118+7201044*p^151*q^2120 +148692860*p^149*q^2122+1675974972*p^147*q^2124+6210289636*p^145*q^2126+ 3542101862*p^143*q^2128+272146840*p^141*q^2130+3433742*p^139*q^2132+8724*p^137* q^2134+1486*p^156*q^2114+11934*p^154*q^2116+1817172*p^152*q^2118+30200104*p^150 *q^2120+522038138*p^148*q^2122+3784148435*p^146*q^2124+6507293208*p^144*q^2126+ 1421350305*p^142*q^2128+48475440*p^140*q^2130+289286*p^138*q^2132+1320*p^136*q^ 2134+26080*p^155*q^2114+154850*p^153*q^2116+6826722*p^151*q^2118+130554106*p^ 149*q^2120+1521202376*p^147*q^2122+6257589933*p^145*q^2124+4365299850*p^143*q^ 2126+406244271*p^141*q^2128+6904628*p^139*q^2130+29940*p^137*q^2132+984*p^156*q ^2112+15994*p^154*q^2114+1284568*p^152*q^2116+25252792*p^150*q^2118+449057698*p ^148*q^2120+3547131428*p^146*q^2122+7186623765*p^144*q^2124+1929175970*p^142*q^ 2126+82133284*p^140*q^2128+530706*p^138*q^2130+336*p^136*q^2132+14986*p^155*q^ 2112+97712*p^153*q^2114+6273468*p^151*q^2116+108128232*p^149*q^2118+1372706699* p^147*q^2120+6306295234*p^145*q^2122+5281569179*p^143*q^2124+583633870*p^141*q^ 2126+10865042*p^139*q^2128+39972*p^137*q^2130+180*p^135*q^2132+116*p^156*q^2110 +62542*p^154*q^2112+948000*p^152*q^2114+22007976*p^150*q^2116+399898888*p^148*q ^2118+3321340121*p^146*q^2120+7769893626*p^144*q^2122+2518213793*p^142*q^2124+ 129977768*p^140*q^2126+1370521*p^138*q^2128+4560*p^136*q^2130+9848*p^155*q^2110 +75290*p^153*q^2112+5386160*p^151*q^2114+92089969*p^149*q^2116+1217430630*p^147 *q^2118+6204950585*p^145*q^2120+6273770956*p^143*q^2122+838121733*p^141*q^2124+ 20296184*p^139*q^2126+64706*p^137*q^2128+60*p^156*q^2108+72860*p^154*q^2110+ 648774*p^152*q^2112+19936254*p^150*q^2114+343656307*p^148*q^2116+3095677304*p^ 146*q^2118+8251974039*p^144*q^2120+3270706024*p^142*q^2122+199163631*p^140*q^ 2124+2166724*p^138*q^2126+6564*p^136*q^2128+12*p^134*q^2130+3522*p^155*q^2108+ 111174*p^153*q^2110+4296634*p^151*q^2112+76501694*p^149*q^2114+1088068138*p^147 *q^2116+6055341054*p^145*q^2118+7291216924*p^143*q^2120+1161654626*p^141*q^2122 +34346253*p^139*q^2124+203644*p^137*q^2126+324*p^135*q^2128+40*p^156*q^2106+ 58362*p^154*q^2108+484960*p^152*q^2110+17977530*p^150*q^2112+299025722*p^148*q^ 2114+2853852322*p^146*q^2116+8668577110*p^144*q^2118+4125263947*p^142*q^2120+ 300173560*p^140*q^2122+4053128*p^138*q^2124+6368*p^136*q^2126+1036*p^155*q^2106 +201340*p^153*q^2108+3347016*p^151*q^2110+66339138*p^149*q^2112+968910164*p^147 *q^2114+5843095967*p^145*q^2116+8289857200*p^143*q^2118+1586747692*p^141*q^2120 +56788170*p^139*q^2122+414154*p^137*q^2124+1332*p^135*q^2126+37874*p^154*q^2106 +366122*p^152*q^2108+15681236*p^150*q^2110+255766874*p^148*q^2112+2605411768*p^ 146*q^2114+8896302842*p^144*q^2116+5167735038*p^142*q^2118+444282931*p^140*q^ 2120+7660614*p^138*q^2122+19358*p^136*q^2124+1088*p^155*q^2104+217576*p^153*q^ 2106+2530958*p^151*q^2108+57268530*p^149*q^2110+854250010*p^147*q^2112+ 5616331088*p^145*q^2114+9278069289*p^143*q^2116+2131093128*p^141*q^2118+ 89342856*p^139*q^2120+647756*p^137*q^2122+432*p^135*q^2124+12654*p^154*q^2104+ 437788*p^152*q^2106+13280260*p^150*q^2108+219650632*p^148*q^2110+2385319472*p^ 146*q^2112+9049916718*p^144*q^2114+6274651323*p^142*q^2116+632180128*p^140*q^ 2118+13304154*p^138*q^2120+71002*p^136*q^2122+192*p^134*q^2124+104*p^155*q^2102 +211548*p^153*q^2104+1971448*p^151*q^2106+51218850*p^149*q^2108+755668228*p^147 *q^2110+5317891963*p^145*q^2112+10182728212*p^143*q^2114+2808398978*p^141*q^ 2116+143230588*p^139*q^2118+1469763*p^137*q^2120+984*p^135*q^2122+12*p^158*q^ 2098+12760*p^154*q^2102+555934*p^152*q^2104+10805122*p^150*q^2106+187673918*p^ 148*q^2108+2153470104*p^146*q^2110+9041954035*p^144*q^2112+7545686380*p^142*q^ 2114+898673742*p^140*q^2116+22509532*p^138*q^2118+87306*p^136*q^2120+12*p^134*q ^2122+92*p^155*q^2100+107044*p^153*q^2102+1478618*p^151*q^2104+44392026*p^149*q ^2106+660182389*p^147*q^2108+5020672148*p^145*q^2110+11014308188*p^143*q^2112+ 3654502986*p^141*q^2114+212393252*p^139*q^2116+2528280*p^137*q^2118+8944*p^135* q^2120+12*p^133*q^2122+3636*p^154*q^2100+712882*p^152*q^2102+8897652*p^150*q^ 2104+163713300*p^148*q^2106+1954279177*p^146*q^2108+9003162328*p^144*q^2110+ 8809273809*p^142*q^2112+1235039282*p^140*q^2114+38043601*p^138*q^2116+232386*p^ 136*q^2118+24*p^134*q^2120+184*p^157*q^2096+36*p^155*q^2098+88208*p^153*q^2100+ 1422840*p^151*q^2102+38764402*p^149*q^2104+577986804*p^147*q^2106+4682069796*p^ 145*q^2108+11644875078*p^143*q^2110+4668023513*p^141*q^2112+320404416*p^139*q^ 2114+4902146*p^137*q^2116+11722*p^135*q^2118+1764*p^154*q^2098+558820*p^152*q^ 2100+6880544*p^150*q^2102+140970109*p^148*q^2104+1747234280*p^146*q^2106+ 8806386277*p^144*q^2108+10243609204*p^142*q^2110+1688663439*p^140*q^2112+ 60971894*p^138*q^2114+404660*p^136*q^2116+624*p^134*q^2118+20*p^157*q^2094+36*p ^155*q^2096+48702*p^153*q^2098+1724092*p^151*q^2100+32931888*p^149*q^2102+ 503800318*p^147*q^2104+4371310014*p^145*q^2106+12192460111*p^143*q^2108+ 5834336490*p^141*q^2110+460036965*p^139*q^2112+8237236*p^137*q^2114+27284*p^135 *q^2116+1164*p^156*q^2094+948*p^154*q^2096+430172*p^152*q^2098+5414302*p^150*q^ 2100+124062506*p^148*q^2102+1569039778*p^146*q^2104+8569940774*p^144*q^2106+ 11545478594*p^142*q^2108+2278601066*p^140*q^2110+96312147*p^138*q^2112+891730*p ^136*q^2114+1716*p^134*q^2116+20420*p^153*q^2096+1898990*p^151*q^2098+27691248* p^149*q^2100+438455508*p^147*q^2102+4028254826*p^145*q^2104+12584767868*p^143*q ^2106+7176968181*p^141*q^2108+653328574*p^139*q^2110+14698903*p^137*q^2112+ 58738*p^135*q^2114+12*p^133*q^2116+580*p^156*q^2092+888*p^154*q^2094+344534*p^ 152*q^2096+4704170*p^150*q^2098+108810052*p^148*q^2100+1394974518*p^146*q^2102+ 8243340189*p^144*q^2104+12870727350*p^142*q^2106+3019820401*p^140*q^2108+ 148923330*p^138*q^2110+1562042*p^136*q^2112+2060*p^134*q^2114+3928*p^155*q^2092 +13534*p^153*q^2094+1594674*p^151*q^2096+22501202*p^149*q^2098+378426841*p^147* q^2100+3704412050*p^145*q^2102+12799561777*p^143*q^2104+8731020086*p^141*q^2106 +914641870*p^139*q^2108+24247570*p^137*q^2110+121070*p^135*q^2112+204*p^133*q^ 2114+44*p^156*q^2090+144*p^154*q^2092+173180*p^152*q^2094+5111278*p^150*q^2096+ 93793030*p^148*q^2098+1248136895*p^146*q^2100+7913287062*p^144*q^2102+ 14080574713*p^142*q^2104+3917213034*p^140*q^2106+217818034*p^138*q^2108+2811158 *p^136*q^2110+7394*p^134*q^2112+5236*p^155*q^2090+10098*p^153*q^2092+1524574*p^ 151*q^2094+18067580*p^149*q^2096+336318944*p^147*q^2098+3380793092*p^145*q^2100 +12872197948*p^143*q^2102+10309875420*p^141*q^2104+1275993392*p^139*q^2106+ 41247487*p^137*q^2108+293484*p^135*q^2110+72*p^133*q^2112+36*p^156*q^2088+7696* p^154*q^2090+123236*p^152*q^2092+4824848*p^150*q^2094+80798706*p^148*q^2096+ 1089148016*p^146*q^2098+7479088672*p^144*q^2100+15198587460*p^142*q^2102+ 5059099140*p^140*q^2104+320151728*p^138*q^2106+5096656*p^136*q^2108+10352*p^134 *q^2110+12*p^132*q^2112+1252*p^155*q^2088+4382*p^153*q^2090+1020052*p^151*q^ 2092+15491012*p^149*q^2094+291008916*p^147*q^2096+3092982486*p^145*q^2098+ 12843817022*p^143*q^2100+12102431498*p^141*q^2102+1727613398*p^139*q^2104+ 62452504*p^137*q^2106+411232*p^135*q^2108+654*p^133*q^2110+22528*p^154*q^2088+ 80404*p^152*q^2090+4874560*p^150*q^2092+68344278*p^148*q^2094+971632331*p^146*q ^2096+7070299732*p^144*q^2098+16085850163*p^142*q^2100+6359564098*p^140*q^2102+ 456918316*p^138*q^2104+9591606*p^136*q^2106+51074*p^134*q^2108+824*p^155*q^2086 +10156*p^153*q^2088+759882*p^151*q^2090+14328326*p^149*q^2092+255906116*p^147*q ^2094+2793635253*p^145*q^2096+12662343832*p^143*q^2098+13846665190*p^141*q^2100 +2347032874*p^139*q^2102+98697659*p^137*q^2104+864856*p^135*q^2106+478*p^133*q^ 2108+12828*p^154*q^2086+53180*p^152*q^2088+4179382*p^150*q^2090+56063266*p^148* q^2092+851093072*p^146*q^2094+6608978131*p^144*q^2096+16885706734*p^142*q^2098+ 7917192465*p^140*q^2100+646757146*p^138*q^2102+15326280*p^136*q^2104+55462*p^ 134*q^2106+28*p^132*q^2108+92*p^155*q^2084+53610*p^153*q^2086+520602*p^151*q^ 2088+13598780*p^149*q^2090+223296282*p^147*q^2092+2524132136*p^145*q^2094+ 12385120661*p^143*q^2096+15679674584*p^141*q^2098+3101118163*p^139*q^2100+ 145648190*p^137*q^2102+1809327*p^135*q^2104+6054*p^133*q^2106+8364*p^154*q^2084 +28904*p^152*q^2086+3343796*p^150*q^2088+47953594*p^148*q^2090+751165039*p^146* q^2092+6176152454*p^144*q^2094+17436706920*p^142*q^2096+9670365724*p^140*q^2098 +906679770*p^138*q^2100+25425732*p^136*q^2102+109524*p^134*q^2104+12*p^132*q^ 2106+48*p^155*q^2082+62468*p^153*q^2084+383078*p^151*q^2086+13197332*p^149*q^ 2088+192752872*p^147*q^2090+2271090009*p^145*q^2092+12025105356*p^143*q^2094+ 17344562975*p^141*q^2096+4074255866*p^139*q^2098+212333380*p^137*q^2100+3301182 *p^135*q^2102+10314*p^133*q^2104+2908*p^154*q^2082+84640*p^152*q^2084+2649272*p ^150*q^2086+41480760*p^148*q^2088+661540138*p^146*q^2090+5703474301*p^144*q^ 2092+17824977824*p^142*q^2094+11635593316*p^140*q^2096+1257984134*p^138*q^2098+ 41569171*p^136*q^2100+259462*p^134*q^2102+324*p^132*q^2104+32*p^155*q^2080+ 50330*p^153*q^2082+236124*p^151*q^2084+11419204*p^149*q^2086+163859226*p^147*q^ 2088+2024590742*p^145*q^2090+11576394740*p^143*q^2092+19068481200*p^141*q^2094+ 5246192424*p^139*q^2096+305936848*p^137*q^2098+5268119*p^135*q^2100+8844*p^133* q^2102+824*p^154*q^2080+166724*p^152*q^2082+1972304*p^150*q^2084+38520072*p^148 *q^2086+584561090*p^146*q^2088+5298071646*p^144*q^2090+18024223784*p^142*q^2092 +13738278066*p^140*q^2094+1709556272*p^138*q^2096+62060044*p^136*q^2098+600188* p^134*q^2100+1974*p^132*q^2102+31492*p^153*q^2080+193052*p^151*q^2082+10233242* p^149*q^2084+139329266*p^147*q^2086+1816135406*p^145*q^2088+11050474638*p^143*q ^2090+20453614051*p^141*q^2092+6695487204*p^139*q^2094+439993224*p^137*q^2096+ 10099148*p^135*q^2098+27172*p^133*q^2100+892*p^154*q^2078+190375*p^152*q^2080+ 1520992*p^150*q^2082+34653966*p^148*q^2084+512415144*p^146*q^2086+4827857313*p^ 144*q^2088+18095084894*p^142*q^2090+15992310199*p^140*q^2092+2321404582*p^138*q ^2094+93314255*p^136*q^2096+937824*p^134*q^2098+306*p^132*q^2100+10380*p^153*q^ 2078+309128*p^151*q^2080+8047206*p^149*q^2082+120227651*p^147*q^2084+1607752286 *p^145*q^2086+10535349025*p^143*q^2088+21812319772*p^141*q^2090+8373145132*p^ 139*q^2092+615473516*p^137*q^2094+15651706*p^135*q^2096+79550*p^133*q^2098+234* p^131*q^2100+80*p^154*q^2076+175304*p^152*q^2078+1020646*p^150*q^2080+32188364* p^148*q^2082+446419516*p^146*q^2084+4447319224*p^144*q^2086+17921170537*p^142*q ^2088+18329271000*p^140*q^2090+3071898454*p^138*q^2092+137293022*p^136*q^2094+ 1959284*p^134*q^2096+2048*p^132*q^2098+10532*p^153*q^2076+470972*p^151*q^2078+ 6855064*p^149*q^2080+106439030*p^147*q^2082+1440325808*p^145*q^2084+9929886984* p^143*q^2086+22846469359*p^141*q^2088+10338934018*p^139*q^2090+869850691*p^137* q^2092+25628456*p^135*q^2094+157505*p^133*q^2096+72*p^154*q^2074+88506*p^152*q^ 2076+828074*p^150*q^2078+27684789*p^148*q^2080+382987020*p^146*q^2082+ 4014543373*p^144*q^2084+17678953982*p^142*q^2086+20631164017*p^140*q^2088+ 4073296796*p^138*q^2090+197186846*p^136*q^2092+3323796*p^134*q^2094+6228*p^132* q^2096+12*p^130*q^2098+10*p^157*q^2070+2920*p^153*q^2074+589010*p^151*q^2076+ 5281640*p^149*q^2078+95255695*p^147*q^2080+1282828666*p^145*q^2082+9359337160*p ^143*q^2084+23801456342*p^141*q^2086+12558365292*p^139*q^2088+1188159566*p^137* q^2090+38831017*p^135*q^2092+292552*p^133*q^2094+90*p^131*q^2096+28*p^154*q^ 2072+73104*p^152*q^2074+983030*p^150*q^2076+23974580*p^148*q^2078+334025888*p^ 146*q^2080+3642287448*p^144*q^2082+17241883749*p^142*q^2084+22900572218*p^140*q ^2086+5262289970*p^138*q^2088+286429410*p^136*q^2090+5889367*p^134*q^2092+22204 *p^132*q^2094+1368*p^153*q^2072+450200*p^151*q^2074+3881716*p^149*q^2076+ 86103000*p^147*q^2078+1130912116*p^145*q^2080+8766660876*p^143*q^2082+ 24377866099*p^141*q^2084+15072418832*p^139*q^2086+1634123305*p^137*q^2088+ 57673492*p^135*q^2090+603034*p^133*q^2092+184*p^131*q^2094+154*p^156*q^2068+28* p^154*q^2070+39794*p^152*q^2072+1399660*p^150*q^2074+20844832*p^148*q^2076+ 290344176*p^146*q^2078+3299365348*p^144*q^2080+16731453064*p^142*q^2082+ 25030608849*p^140*q^2084+6756099722*p^138*q^2086+405506574*p^136*q^2088+9865528 *p^134*q^2090+37545*p^132*q^2092+728*p^153*q^2070+356672*p^151*q^2072+3065420*p ^149*q^2074+74540472*p^147*q^2076+993314758*p^145*q^2078+8111756206*p^143*q^ 2080+24878530140*p^141*q^2082+17740720267*p^139*q^2084+2212695550*p^137*q^2086+ 85024514*p^135*q^2088+1036128*p^133*q^2090+1980*p^131*q^2092+16*p^156*q^2066+ 16324*p^152*q^2070+1443266*p^150*q^2072+16837154*p^148*q^2074+259326642*p^146*q ^2076+2982198778*p^144*q^2078+16196603234*p^142*q^2080+27086408522*p^140*q^2082 +8500696237*p^138*q^2084+565943876*p^136*q^2086+15060134*p^134*q^2088+88124*p^ 132*q^2090+978*p^155*q^2066+696*p^153*q^2068+279282*p^151*q^2070+3352339*p^149* q^2072+67257118*p^147*q^2074+872540551*p^145*q^2076+7524005584*p^143*q^2078+ 24932734171*p^141*q^2080+20571296042*p^139*q^2082+2958764843*p^137*q^2084+ 126150166*p^135*q^2086+2196350*p^133*q^2088+4916*p^131*q^2090+10822*p^152*q^ 2068+1286278*p^150*q^2070+13018093*p^148*q^2072+226603894*p^146*q^2074+ 2669340678*p^144*q^2076+15489848396*p^142*q^2078+28877980436*p^140*q^2080+ 10683695148*p^138*q^2082+795650920*p^136*q^2084+23286826*p^134*q^2086+136938*p^ 132*q^2088+84*p^130*q^2090+480*p^155*q^2064+108*p^153*q^2066+142270*p^151*q^ 2068+3592204*p^149*q^2070+58552754*p^147*q^2072+764916302*p^145*q^2074+ 6933634007*p^143*q^2076+25060345748*p^141*q^2078+23500108685*p^139*q^2080+ 3882046138*p^137*q^2082+176441506*p^135*q^2084+3299320*p^133*q^2086+9008*p^131* q^2088+3312*p^154*q^2064+7716*p^152*q^2066+1204020*p^150*q^2068+11116130*p^148* q^2070+201706573*p^146*q^2072+2399386792*p^144*q^2074+14775608958*p^142*q^2076+ 30438536568*p^140*q^2078+13047259736*p^138*q^2080+1103478964*p^136*q^2082+ 35755320*p^134*q^2084+402138*p^132*q^2086+504*p^130*q^2088+34*p^155*q^2062+48*p ^153*q^2064+101280*p^151*q^2066+3611032*p^149*q^2068+49450332*p^147*q^2070+ 677231744*p^145*q^2072+6365226512*p^143*q^2074+24757893181*p^141*q^2076+ 26520927384*p^139*q^2078+5093489129*p^137*q^2080+255031430*p^135*q^2082+5695288 *p^133*q^2084+15198*p^131*q^2086+4388*p^154*q^2062+3466*p^152*q^2064+829574*p^ 150*q^2066+10124744*p^148*q^2068+178568254*p^146*q^2070+2125887611*p^144*q^2072 +13994271300*p^142*q^2074+31723458316*p^140*q^2076+15856854114*p^138*q^2078+ 1503302534*p^136*q^2080+51469344*p^134*q^2082+614664*p^132*q^2084+558*p^130*q^ 2086+28*p^155*q^2060+6480*p^153*q^2062+61960*p^151*q^2064+3668440*p^149*q^2066+ 40850585*p^147*q^2068+595362278*p^145*q^2070+5831739550*p^143*q^2072+ 24487419480*p^141*q^2074+29417530125*p^139*q^2076+6573273920*p^137*q^2078+ 359799627*p^135*q^2080+9151248*p^133*q^2082+52256*p^131*q^2084+24*p^129*q^2086+ 1018*p^154*q^2060+1160*p^152*q^2062+627585*p^150*q^2064+9621654*p^148*q^2066+ 158458986*p^146*q^2068+1897906240*p^144*q^2070+13190325423*p^142*q^2072+ 32792118160*p^140*q^2074+18864184473*p^138*q^2076+2027845756*p^136*q^2078+ 75113372*p^134*q^2080+1104166*p^132*q^2082+1568*p^130*q^2084+19016*p^153*q^2060 +42076*p^151*q^2062+3199926*p^149*q^2064+35170234*p^147*q^2066+527232977*p^145* q^2068+5312904314*p^143*q^2070+23901270756*p^141*q^2072+32301115166*p^139*q^ 2074+8364555478*p^137*q^2076+511937290*p^135*q^2078+13990992*p^133*q^2080+ 112112*p^131*q^2082+24*p^129*q^2084+664*p^154*q^2058+8026*p^152*q^2060+415096*p ^150*q^2062+9646522*p^148*q^2064+136610156*p^146*q^2066+1682559231*p^144*q^2068 +12374840776*p^142*q^2070+33491624300*p^140*q^2072+22249718806*p^138*q^2074+ 2729069511*p^136*q^2076+107500096*p^134*q^2078+2071924*p^132*q^2080+3918*p^130* q^2082+10670*p^153*q^2058+18204*p^151*q^2060+2705078*p^149*q^2062+29991596*p^ 147*q^2064+465742892*p^145*q^2066+4812821581*p^143*q^2068+23288779416*p^141*q^ 2070+34960120807*p^139*q^2072+10544906514*p^137*q^2074+705224392*p^135*q^2076+ 20550228*p^133*q^2078+147507*p^131*q^2080+102*p^129*q^2082+68*p^154*q^2056+ 45060*p^152*q^2058+301410*p^150*q^2060+9168308*p^148*q^2062+118545312*p^146*q^ 2064+1500999402*p^144*q^2066+11568144110*p^142*q^2068+34100069214*p^140*q^2070+ 25694667722*p^138*q^2072+3605594398*p^136*q^2074+154643440*p^134*q^2076+3375966 *p^132*q^2078+19370*p^130*q^2080+6856*p^153*q^2056+15516*p^151*q^2058+2118304*p ^149*q^2060+27790764*p^147*q^2062+414821469*p^145*q^2064+4352068424*p^143*q^ 2066+22468990096*p^141*q^2068+37390421570*p^139*q^2070+13070003636*p^137*q^2072 +980953610*p^135*q^2074+30763340*p^133*q^2076+383228*p^131*q^2078+102*p^129*q^ 2080+36*p^154*q^2054+52800*p^152*q^2056+187448*p^150*q^2058+8628138*p^148*q^ 2060+100685578*p^146*q^2062+1325250311*p^144*q^2064+10750275068*p^142*q^2066+ 34223034371*p^140*q^2068+29515887922*p^138*q^2070+4750184005*p^136*q^2072+ 222000178*p^134*q^2074+5166110*p^132*q^2076+13902*p^130*q^2078+2334*p^153*q^ 2054+64524*p^151*q^2056+1563520*p^149*q^2058+24994472*p^147*q^2060+363171294*p^ 145*q^2062+3924852160*p^143*q^2064+21636255708*p^141*q^2066+39637895806*p^139*q ^2068+16015705340*p^137*q^2070+1327814113*p^135*q^2072+42944926*p^133*q^2074+ 685956*p^131*q^2076+2406*p^129*q^2078+24*p^154*q^2052+41324*p^152*q^2054+107966 *p^150*q^2056+7802232*p^148*q^2058+89082886*p^146*q^2060+1183716972*p^144*q^ 2062+9963504145*p^142*q^2064+34336967700*p^140*q^2066+33095824898*p^138*q^2068+ 6160149868*p^136*q^2070+313659651*p^134*q^2072+8199220*p^132*q^2074+49608*p^130 *q^2076+612*p^153*q^2052+143444*p^151*q^2054+1221492*p^149*q^2056+23762134*p^ 147*q^2058+317925854*p^145*q^2060+3533496958*p^143*q^2062+20624627615*p^141*q^ 2064+41533587310*p^139*q^2066+19344086515*p^137*q^2068+1816277728*p^135*q^2070+ 63999357*p^133*q^2072+1177838*p^131*q^2074+1887*p^129*q^2076+25970*p^152*q^2052 +101724*p^150*q^2054+6300700*p^148*q^2056+77050928*p^146*q^2058+1047806278*p^ 144*q^2060+9153243324*p^142*q^2062+34036366881*p^140*q^2064+36999153990*p^138*q ^2066+7913142733*p^136*q^2068+436994128*p^134*q^2070+11603621*p^132*q^2072+ 110426*p^130*q^2074+144*p^128*q^2076+696*p^153*q^2050+153884*p^151*q^2052+ 778296*p^149*q^2054+22509433*p^147*q^2056+278551276*p^145*q^2058+3169163350*p^ 143*q^2060+19705043864*p^141*q^2062+43127526426*p^139*q^2064+23058458436*p^137* q^2066+2422930489*p^135*q^2068+91547944*p^133*q^2070+1873242*p^131*q^2072+3588* p^129*q^2074+8132*p^152*q^2050+253274*p^150*q^2052+5429506*p^148*q^2054+ 68633450*p^146*q^2056+929491484*p^144*q^2058+8424153362*p^142*q^2060+ 33601066730*p^140*q^2062+40552900242*p^138*q^2064+10043210494*p^136*q^2066+ 610634666*p^134*q^2068+17246790*p^132*q^2070+229680*p^130*q^2072+402*p^128*q^ 2074+56*p^153*q^2048+144952*p^151*q^2050+502184*p^149*q^2052+20152238*p^147*q^ 2054+244582870*p^145*q^2056+2845923236*p^143*q^2058+18580729856*p^141*q^2060+ 44521860742*p^139*q^2062+27025771726*p^137*q^2064+3239460508*p^135*q^2066+ 130699146*p^133*q^2068+2974718*p^131*q^2070+13148*p^129*q^2072+8420*p^152*q^ 2048+372560*p^150*q^2050+4157608*p^148*q^2052+62933544*p^146*q^2054+819919392*p ^144*q^2056+7698791056*p^142*q^2058+32909065339*p^140*q^2060+44144018242*p^138* q^2062+12605097435*p^136*q^2064+841296206*p^134*q^2066+25282504*p^132*q^2068+ 376374*p^130*q^2070+128*p^128*q^2072+52*p^153*q^2046+72352*p^151*q^2048+508296* p^149*q^2050+18218444*p^147*q^2052+211534872*p^145*q^2054+2541772154*p^143*q^ 2056+17520025712*p^141*q^2058+45465478251*p^139*q^2060+31433900610*p^137*q^2062 +4262224444*p^135*q^2064+185160974*p^133*q^2066+4370317*p^131*q^2068+30556*p^ 129*q^2070+60*p^127*q^2072+2244*p^152*q^2046+469092*p^150*q^2048+2942036*p^148* q^2050+56631212*p^146*q^2052+728647330*p^144*q^2054+7034265178*p^142*q^2056+ 32196802406*p^140*q^2058+47337397788*p^138*q^2060+15572949272*p^136*q^2062+ 1142783112*p^134*q^2064+35850144*p^132*q^2066+636132*p^130*q^2068+930*p^128*q^ 2070+20*p^153*q^2044+59122*p^151*q^2046+741240*p^149*q^2048+16058980*p^147*q^ 2050+190242847*p^145*q^2052+2274017742*p^143*q^2054+16408329682*p^141*q^2056+ 46118337948*p^139*q^2058+35833948153*p^137*q^2060+5592272178*p^135*q^2062+ 265878809*p^133*q^2064+6897752*p^131*q^2066+76370*p^129*q^2068+8*p^156*q^2040+ 972*p^152*q^2044+369876*p^150*q^2046+2107596*p^148*q^2048+52194146*p^146*q^2050 +635311349*p^144*q^2052+6377538892*p^142*q^2054+31099564747*p^140*q^2056+ 50572848220*p^138*q^2058+19051633661*p^136*q^2060+1560335938*p^134*q^2062+ 51581884*p^132*q^2064+978990*p^130*q^2066+2026*p^128*q^2068+4*p^126*q^2070+20*p ^153*q^2042+32128*p^151*q^2044+1001846*p^149*q^2046+12960166*p^147*q^2048+ 164976436*p^145*q^2050+2030151787*p^143*q^2052+15349944238*p^141*q^2054+ 46529666883*p^139*q^2056+40559005510*p^137*q^2058+7202676857*p^135*q^2060+ 362879084*p^133*q^2062+9325922*p^131*q^2064+106262*p^129*q^2066+12*p^127*q^2068 +488*p^152*q^2042+289968*p^150*q^2044+2023920*p^148*q^2046+48525472*p^146*q^ 2048+568781308*p^144*q^2050+5800059457*p^142*q^2052+30065788362*p^140*q^2054+ 53150302882*p^138*q^2056+22959349192*p^136*q^2058+2092841940*p^134*q^2060+ 76554208*p^132*q^2062+1771399*p^130*q^2064+12972*p^128*q^2066+124*p^155*q^2038+ 12302*p^151*q^2042+1141374*p^149*q^2044+9946868*p^147*q^2046+147701590*p^145*q^ 2048+1800782804*p^143*q^2050+14227289282*p^141*q^2052+46593542368*p^139*q^2054+ 45130024461*p^137*q^2056+9261689692*p^135*q^2058+510532894*p^133*q^2060+ 13630816*p^131*q^2062+177783*p^129*q^2064+60*p^127*q^2066+540*p^152*q^2040+ 230864*p^150*q^2042+2079990*p^148*q^2044+43360870*p^146*q^2046+499591066*p^144* q^2048+5241604478*p^142*q^2050+28794614140*p^140*q^2052+55742931772*p^138*q^ 2054+27340706403*p^136*q^2056+2800256810*p^134*q^2058+106549110*p^132*q^2060+ 2466984*p^130*q^2062+16949*p^128*q^2064+12*p^155*q^2036+7588*p^151*q^2040+ 1013920*p^149*q^2042+7938228*p^147*q^2044+134323708*p^145*q^2046+1601941604*p^ 143*q^2048+13195987730*p^141*q^2050+46319276294*p^139*q^2052+49914003524*p^137* q^2054+11660364612*p^135*q^2056+697425254*p^133*q^2058+20007592*p^131*q^2060+ 361134*p^129*q^2062+1122*p^127*q^2064+792*p^154*q^2036+72*p^152*q^2038+113664*p ^150*q^2040+2542708*p^148*q^2042+37182310*p^146*q^2044+438204382*p^144*q^2046+ 4739266315*p^142*q^2048+27550857226*p^140*q^2050+57733661674*p^138*q^2052+ 32105306852*p^136*q^2054+3716510174*p^134*q^2056+152377352*p^132*q^2058+3478438 *p^130*q^2060+24748*p^128*q^2062+6006*p^151*q^2038+993100*p^149*q^2040+6757362* p^147*q^2042+123459164*p^145*q^2044+1433752898*p^143*q^2046+12163022015*p^141*q ^2048+45849833960*p^139*q^2050+54261915225*p^137*q^2052+14621919036*p^135*q^ 2054+954001180*p^133*q^2056+29123318*p^131*q^2058+646738*p^129*q^2060+3360*p^ 127*q^2062+380*p^154*q^2034+32*p^152*q^2036+76112*p^150*q^2038+2611490*p^148*q^ 2040+30564784*p^146*q^2042+385888315*p^144*q^2044+4243292310*p^142*q^2046+ 26091735628*p^140*q^2048+59581027392*p^138*q^2050+37232628109*p^136*q^2052+ 4899091854*p^134*q^2054+213895635*p^132*q^2056+5068842*p^130*q^2058+49231*p^128 *q^2060+12*p^126*q^2062+2696*p^153*q^2034+2444*p^151*q^2036+684752*p^149*q^2038 +6271136*p^147*q^2040+112056744*p^145*q^2042+1270750458*p^143*q^2044+ 11211602304*p^141*q^2046+45099818093*p^139*q^2048+58836556558*p^137*q^2050+ 18024075311*p^135*q^2052+1290786020*p^133*q^2054+41740275*p^131*q^2056+848364*p ^129*q^2058+2279*p^127*q^2060+24*p^154*q^2032+16*p^152*q^2034+46882*p^150*q^ 2036+2838398*p^148*q^2038+25620960*p^146*q^2040+346072682*p^144*q^2042+ 3822428854*p^142*q^2044+24732791616*p^140*q^2046+60811864546*p^138*q^2048+ 42628563186*p^136*q^2050+6344456722*p^134*q^2052+296431548*p^132*q^2054+7274307 *p^130*q^2056+139628*p^128*q^2058+528*p^126*q^2060+3540*p^153*q^2032+746*p^151* q^2034+498370*p^149*q^2036+6263222*p^147*q^2038+99325312*p^145*q^2040+ 1126027238*p^143*q^2042+10268138361*p^141*q^2044+44118010258*p^139*q^2046+ 62768983642*p^137*q^2048+22043481104*p^135*q^2050+1760577410*p^133*q^2052+ 60955684*p^131*q^2054+1345451*p^129*q^2056+3850*p^127*q^2058+20*p^154*q^2030+ 5296*p^152*q^2032+31412*p^150*q^2034+2620332*p^148*q^2036+21408852*p^146*q^2038 +312181276*p^144*q^2040+3427739406*p^142*q^2042+23211867380*p^140*q^2044+ 61900666338*p^138*q^2046+48213833798*p^136*q^2048+8212201790*p^134*q^2050+ 407992286*p^132*q^2052+10678268*p^130*q^2054+190346*p^128*q^2056+102*p^126*q^ 2058+784*p^153*q^2030+472*p^151*q^2032+315360*p^149*q^2034+6409638*p^147*q^2036 +85615214*p^145*q^2038+991166362*p^143*q^2040+9366322110*p^141*q^2042+ 42918411197*p^139*q^2044+66881936684*p^137*q^2046+26502970686*p^135*q^2048+ 2348315832*p^133*q^2050+84524745*p^131*q^2052+1711432*p^129*q^2054+20812*p^127* q^2056+36*p^125*q^2058+15504*p^152*q^2030+12244*p^150*q^2032+2196576*p^148*q^ 2034+18945942*p^146*q^2036+283830194*p^144*q^2038+3091648722*p^142*q^2040+ 21872750428*p^140*q^2042+62409647974*p^138*q^2044+53924633500*p^136*q^2046+ 10434657351*p^134*q^2048+560884570*p^132*q^2050+16123364*p^130*q^2052+338116*p^ 128*q^2054+138*p^126*q^2056+504*p^153*q^2028+6256*p^151*q^2030+232784*p^149*q^ 2032+6947764*p^147*q^2034+74056152*p^145*q^2036+883878614*p^143*q^2038+ 8513562026*p^141*q^2040+41497327420*p^139*q^2042+70135538069*p^137*q^2044+ 31622358512*p^135*q^2046+3141944413*p^133*q^2048+122213712*p^131*q^2050+2587830 *p^129*q^2052+37036*p^127*q^2054+8496*p^152*q^2028+7308*p^150*q^2030+1663570*p^ 148*q^2032+16438820*p^146*q^2034+252455848*p^144*q^2036+2745399912*p^142*q^2038 +20366866247*p^140*q^2040+62780109406*p^138*q^2042+59713664411*p^136*q^2044+ 13213637942*p^134*q^2046+768546890*p^132*q^2048+22005730*p^130*q^2050+440092*p^ 128*q^2052+1700*p^126*q^2054+44*p^153*q^2026+37268*p^151*q^2028+133698*p^149*q^ 2030+6702876*p^147*q^2032+64274816*p^145*q^2034+789450954*p^143*q^2036+ 7761076750*p^141*q^2038+39977054589*p^139*q^2040+73538533080*p^137*q^2042+ 37005382182*p^135*q^2044+4133883862*p^133*q^2046+165498596*p^131*q^2048+4000304 *p^129*q^2050+63730*p^127*q^2052+5380*p^152*q^2026+7018*p^150*q^2028+1227220*p^ 148*q^2030+16432886*p^146*q^2032+224836918*p^144*q^2034+2457247144*p^142*q^2036 +18970021202*p^140*q^2038+62508684763*p^138*q^2040+65507952814*p^136*q^2042+ 16471911319*p^134*q^2044+1052748806*p^132*q^2046+33613416*p^130*q^2048+593792*p ^128*q^2050+6088*p^126*q^2052+24*p^153*q^2024+42180*p^151*q^2026+74288*p^149*q^ 2028+6196294*p^147*q^2030+54244842*p^145*q^2032+709619872*p^143*q^2034+ 7036223296*p^141*q^2036+38352624944*p^139*q^2038+76148591994*p^137*q^2040+ 43037027054*p^135*q^2042+5412531472*p^133*q^2044+230328018*p^131*q^2046+5423967 *p^129*q^2048+119560*p^127*q^2050+48*p^125*q^2052+1760*p^152*q^2024+55488*p^150 *q^2026+914926*p^148*q^2028+16386326*p^146*q^2030+199919038*p^144*q^2032+ 2187906912*p^142*q^2034+17527192505*p^140*q^2036+62107193396*p^138*q^2038+ 70962086598*p^136*q^2040+20371841384*p^134*q^2042+1427500771*p^132*q^2044+ 47381310*p^130*q^2046+957436*p^128*q^2048+7430*p^126*q^2050+16*p^153*q^2022+ 33276*p^151*q^2024+39428*p^149*q^2026+4966438*p^147*q^2028+46814282*p^145*q^ 2030+630709946*p^143*q^2032+6355630706*p^141*q^2034+36578706448*p^139*q^2036+ 78723317382*p^137*q^2038+49380301604*p^135*q^2040+7024984600*p^133*q^2042+ 317133893*p^131*q^2044+8021964*p^129*q^2046+136524*p^127*q^2048+714*p^125*q^ 2050+400*p^152*q^2022+112366*p^150*q^2024+561484*p^148*q^2026+16667872*p^146*q^ 2028+175686588*p^144*q^2030+1963422462*p^142*q^2032+16251126922*p^140*q^2034+ 61221678024*p^138*q^2036+76605324094*p^136*q^2038+24683352706*p^134*q^2040+ 1913213250*p^132*q^2042+65047741*p^130*q^2044+1292982*p^128*q^2046+24878*p^126* q^2048+20620*p^151*q^2022+79412*p^149*q^2024+4213388*p^147*q^2026+43065830*p^ 145*q^2028+570090784*p^143*q^2030+5740493960*p^141*q^2032+34743544108*p^139*q^ 2034+80388937991*p^137*q^2036+55969716940*p^135*q^2038+9075141379*p^133*q^2040+ 444185030*p^131*q^2042+12773810*p^129*q^2044+237844*p^127*q^2046+494*p^125*q^ 2048+500*p^152*q^2020+123548*p^150*q^2022+343026*p^148*q^2024+15419280*p^146*q^ 2026+150733054*p^144*q^2028+1741651458*p^142*q^2030+14909655825*p^140*q^2032+ 60142395554*p^138*q^2034+81700836888*p^136*q^2036+29923388558*p^134*q^2038+ 2553872391*p^132*q^2040+89676984*p^130*q^2042+1766742*p^128*q^2044+31706*p^126* q^2046+42*p^124*q^2048+5764*p^151*q^2020+190938*p^149*q^2022+3079430*p^147*q^ 2024+40456772*p^145*q^2026+507863862*p^143*q^2028+5179745942*p^141*q^2030+ 32846250518*p^139*q^2032+82189765488*p^137*q^2034+62747692822*p^135*q^2036+ 11494982290*p^133*q^2038+603285294*p^131*q^2040+17387652*p^129*q^2042+283669*p^ 127*q^2044+3022*p^125*q^2046+32*p^152*q^2018+118296*p^150*q^2020+264902*p^148*q ^2022+14144034*p^146*q^2024+132180604*p^144*q^2026+1569373447*p^142*q^2028+ 13710973770*p^140*q^2030+58722662364*p^138*q^2032+86670049620*p^136*q^2034+ 35421180558*p^134*q^2036+3401914636*p^132*q^2038+126346609*p^130*q^2040+3012294 *p^128*q^2042+60707*p^126*q^2044+24*p^124*q^2046+6348*p^151*q^2018+279464*p^149 *q^2020+2169672*p^147*q^2022+39674266*p^145*q^2024+453460126*p^143*q^2026+ 4650819553*p^141*q^2028+30963409476*p^139*q^2030+82874551574*p^137*q^2032+ 69924408086*p^135*q^2034+14522998235*p^133*q^2036+829608126*p^131*q^2038+ 24896843*p^129*q^2040+395466*p^127*q^2042+6220*p^125*q^2044+32*p^152*q^2016+ 56152*p^150*q^2018+361392*p^148*q^2020+12080814*p^146*q^2022+114838688*p^144*q^ 2024+1397475286*p^142*q^2026+12534366132*p^140*q^2028+57073249594*p^138*q^2030+ 91228088509*p^136*q^2032+41746860074*p^134*q^2034+4470192484*p^132*q^2036+ 174824750*p^130*q^2038+4230959*p^128*q^2040+67650*p^126*q^2042+142*p^124*q^2044 +1524*p^151*q^2016+383802*p^149*q^2018+1453244*p^147*q^2020+37869926*p^145*q^ 2022+400660743*p^143*q^2024+4185323020*p^141*q^2026+28998776762*p^139*q^2028+ 83736732730*p^137*q^2030+76779079046*p^135*q^2032+18105333628*p^133*q^2034+ 1118136523*p^131*q^2036+33767658*p^129*q^2038+642124*p^127*q^2040+12438*p^125*q ^2042+12*p^152*q^2014+45732*p^150*q^2016+460204*p^148*q^2018+9748294*p^146*q^ 2020+104649894*p^144*q^2022+1256725016*p^142*q^2024+11462491482*p^140*q^2026+ 55188724699*p^138*q^2028+95514636558*p^136*q^2030+48404757819*p^134*q^2032+ 5842157758*p^132*q^2034+243985221*p^130*q^2036+6563918*p^128*q^2038+75763*p^126 *q^2040+858*p^124*q^2042+588*p^151*q^2014+298048*p^149*q^2016+1327952*p^147*q^ 2018+35800792*p^145*q^2020+351582392*p^143*q^2022+3762115877*p^141*q^2024+ 27127421864*p^139*q^2026+83549762768*p^137*q^2028+84001151454*p^135*q^2030+ 22279423949*p^133*q^2032+1517071552*p^131*q^2034+47839124*p^129*q^2036+925488*p ^127*q^2038+21624*p^125*q^2040+12*p^152*q^2012+23792*p^150*q^2014+769902*p^148* q^2016+7218820*p^146*q^2018+96858432*p^144*q^2020+1128848876*p^142*q^2022+ 10411509456*p^140*q^2024+53147966244*p^138*q^2026+99116647360*p^136*q^2028+ 55794655338*p^134*q^2030+7577643926*p^132*q^2032+337114910*p^130*q^2034+8870307 *p^128*q^2036+139038*p^126*q^2038+1476*p^124*q^2040+6*p^155*q^2008+288*p^151*q^ 2012+231170*p^149*q^2014+1093160*p^147*q^2016+32152110*p^145*q^2018+307454498*p ^143*q^2020+3357792100*p^141*q^2022+25244223019*p^139*q^2024+83444896222*p^137* q^2026+90846459082*p^135*q^2028+27155192170*p^133*q^2030+2023802471*p^131*q^ 2032+65820192*p^129*q^2034+1476565*p^127*q^2036+11128*p^125*q^2038+60*p^123*q^ 2040+7896*p^150*q^2012+902992*p^148*q^2014+5789994*p^146*q^2016+91809830*p^144* q^2018+1007606484*p^142*q^2020+9516815736*p^140*q^2022+50911674666*p^138*q^2024 +102609528460*p^136*q^2026+63244439218*p^134*q^2028+9717867668*p^132*q^2030+ 461879066*p^130*q^2032+12503620*p^128*q^2034+193366*p^126*q^2036+6154*p^124*q^ 2038+368*p^151*q^2010+181316*p^149*q^2012+1315106*p^147*q^2014+27419504*p^145*q ^2016+273687930*p^143*q^2018+3034183547*p^141*q^2020+23395488890*p^139*q^2022+ 82420612367*p^137*q^2024+97786609566*p^135*q^2026+32646358702*p^133*q^2028+ 2715035140*p^131*q^2030+94233335*p^129*q^2032+2282702*p^127*q^2034+27414*p^125* q^2036+60*p^123*q^2038+94*p^154*q^2006+4992*p^150*q^2010+820482*p^148*q^2012+ 4663074*p^146*q^2014+86474816*p^144*q^2016+894875700*p^142*q^2018+8569838032*p^ 140*q^2020+48617957972*p^138*q^2022+105188960738*p^136*q^2024+71483488146*p^134 *q^2026+12380808018*p^132*q^2028+631147890*p^130*q^2030+17207270*p^128*q^2032+ 281584*p^126*q^2034+2830*p^124*q^2036+48*p^151*q^2008+79348*p^149*q^2010+ 1802668*p^147*q^2012+22168004*p^145*q^2014+244934144*p^143*q^2016+2719853760*p^ 141*q^2018+21685820013*p^139*q^2020+81439641318*p^137*q^2022+104298370831*p^135 *q^2024+38902647836*p^133*q^2026+3563111043*p^131*q^2028+129031302*p^129*q^2030 +3013326*p^127*q^2032+38480*p^125*q^2034+1059*p^123*q^2036+8*p^154*q^2004+4132* p^150*q^2008+809908*p^148*q^2010+3718626*p^146*q^2012+80403364*p^144*q^2014+ 796129069*p^142*q^2016+7786960850*p^140*q^2018+46111021946*p^138*q^2020+ 107627310422*p^136*q^2022+79470170721*p^134*q^2024+15532475582*p^132*q^2026+ 863001209*p^130*q^2028+24337592*p^128*q^2030+529851*p^126*q^2032+3482*p^124*q^ 2034+606*p^153*q^2004+16*p^151*q^2006+53676*p^149*q^2008+1989828*p^147*q^2010+ 19055212*p^145*q^2012+225404682*p^143*q^2014+2447923719*p^141*q^2016+ 19999295892*p^139*q^2018+79704768297*p^137*q^2020+110736192380*p^135*q^2022+ 45716663419*p^133*q^2024+4735692580*p^131*q^2026+181618875*p^129*q^2028+4561542 *p^127*q^2030+56913*p^125*q^2032+1172*p^123*q^2034+1640*p^150*q^2006+518068*p^ 148*q^2008+3788060*p^146*q^2010+70126160*p^144*q^2012+701061124*p^142*q^2014+ 7014330588*p^140*q^2016+43639030786*p^138*q^2018+109069959528*p^136*q^2020+ 88291715612*p^134*q^2022+19355178736*p^132*q^2024+1156108630*p^130*q^2026+ 33478904*p^128*q^2028+635408*p^126*q^2030+6616*p^124*q^2032+78*p^122*q^2034+280 *p^153*q^2002+8*p^151*q^2004+32206*p^149*q^2006+2323788*p^147*q^2008+14948408*p ^145*q^2010+209880292*p^143*q^2012+2193792096*p^141*q^2014+18394360944*p^139*q^ 2016+78003618612*p^137*q^2018+116633602955*p^135*q^2020+53240700450*p^133*q^ 2022+6131221288*p^131*q^2024+250210162*p^129*q^2026+6099496*p^127*q^2028+106512 *p^125*q^2030+178*p^123*q^2032+2080*p^152*q^2002+400*p^150*q^2004+365792*p^148* q^2006+3939150*p^146*q^2008+62841150*p^144*q^2010+625193576*p^142*q^2012+ 6359929032*p^140*q^2014+41106268329*p^138*q^2016+110379523644*p^136*q^2018+ 96498269399*p^134*q^2020+23841194298*p^132*q^2022+1565274396*p^130*q^2024+ 48140592*p^128*q^2026+1106646*p^126*q^2028+11668*p^124*q^2030+321*p^122*q^2032+ 14*p^153*q^2000+8*p^151*q^2002+21440*p^149*q^2004+2072006*p^147*q^2006+12620880 *p^145*q^2008+191365172*p^143*q^2010+1963299712*p^141*q^2012+16844814562*p^139* q^2014+75596736134*p^137*q^2016+122360407616*p^135*q^2018+61304069369*p^133*q^ 2020+7956943340*p^131*q^2022+343805341*p^129*q^2024+8265084*p^127*q^2026+121368 *p^125*q^2028+866*p^123*q^2030+2692*p^152*q^2000+264*p^150*q^2002+226740*p^148* q^2004+4854816*p^146*q^2006+53638851*p^144*q^2008+565325976*p^142*q^2010+ 5729992652*p^140*q^2012+38659576540*p^138*q^2014+110671984031*p^136*q^2016+ 105508370414*p^134*q^2018+28964385784*p^132*q^2020+2101364590*p^130*q^2022+ 67788222*p^128*q^2024+1599304*p^126*q^2026+22804*p^124*q^2028+12*p^153*q^1998+ 4126*p^151*q^2000+7798*p^149*q^2002+1673740*p^147*q^2004+10423852*p^145*q^2006+ 174890350*p^143*q^2008+1744815368*p^141*q^2010+15393502322*p^139*q^2012+ 73171566170*p^137*q^2014+127336754370*p^135*q^2016+70036417906*p^133*q^2018+ 10186257882*p^131*q^2020+466324122*p^129*q^2022+11438645*p^127*q^2024+198116*p^ 125*q^2026+1452*p^123*q^2028+48*p^121*q^2030+550*p^152*q^1998+140*p^150*q^2000+ 159492*p^148*q^2002+5333260*p^146*q^2004+45779660*p^144*q^2006+510892568*p^142* q^2008+5183338866*p^140*q^2010+36182639851*p^138*q^2012+111021243714*p^136*q^ 2014+113828256417*p^134*q^2016+34874582998*p^132*q^2018+2779767586*p^130*q^2020 +94433616*p^128*q^2022+2063286*p^126*q^2024+23258*p^124*q^2026+60*p^122*q^2028+ 11920*p^151*q^1998+4504*p^149*q^2000+1259908*p^147*q^2002+10497948*p^145*q^2004 +159232552*p^143*q^2006+1565797044*p^141*q^2008+14081454814*p^139*q^2010+ 70259659204*p^137*q^2012+131892125098*p^135*q^2014+78931947108*p^133*q^2016+ 12960536458*p^131*q^2018+645151091*p^129*q^2020+17344724*p^127*q^2022+402728*p^ 125*q^2024+5690*p^123*q^2026+344*p^152*q^1996+5108*p^150*q^1998+92368*p^148*q^ 2000+5178702*p^146*q^2002+37333942*p^144*q^2004+461643438*p^142*q^2006+ 4649489505*p^140*q^2008+33647179826*p^138*q^2010+110177862672*p^136*q^2012+ 122852286150*p^134*q^2014+41585418794*p^132*q^2016+3693111706*p^130*q^2018+ 129684236*p^128*q^2020+2530152*p^126*q^2022+21316*p^124*q^2024+60*p^122*q^2026+ 3*p^120*q^2028+6460*p^151*q^1996+1906*p^149*q^1998+864968*p^147*q^2000+11146594 *p^145*q^2002+141658092*p^143*q^2004+1400728266*p^141*q^2006+12814871598*p^139* q^2008+67644372146*p^137*q^2010+135794007406*p^135*q^2012+88653418558*p^133*q^ 2014+16190595685*p^131*q^2016+862268692*p^129*q^2018+23855496*p^127*q^2020+ 528666*p^125*q^2022+4948*p^123*q^2024+20*p^152*q^1994+28376*p^150*q^1996+48780* p^148*q^1998+4811968*p^146*q^2000+31780076*p^144*q^2002+424872892*p^142*q^2004+ 4192574014*p^140*q^2006+31336417854*p^138*q^2008+109106242692*p^136*q^2010+ 130796228065*p^134*q^2012+48933895222*p^132*q^2014+4852909382*p^130*q^2016+ 181590090*p^128*q^2018+3987172*p^126*q^2020+76980*p^124*q^2022+1019*p^122*q^ 2024+3876*p^151*q^1994+7048*p^149*q^1996+648608*p^147*q^1998+11688790*p^145*q^ 2000+124302396*p^143*q^2002+1253204382*p^141*q^2004+11667513440*p^139*q^2006+ 64309970427*p^137*q^2008+139419369928*p^135*q^2010+98323634096*p^133*q^2012+ 20233403270*p^131*q^2014+1175685500*p^129*q^2016+34156804*p^127*q^2018+631598*p ^125*q^2020+1120*p^123*q^2022+12*p^152*q^1992+33038*p^150*q^1994+25240*p^148*q^ 1996+3676374*p^146*q^1998+28925162*p^144*q^2000+384810648*p^142*q^2002+ 3765036098*p^140*q^2004+28988101500*p^138*q^2006+107400352190*p^136*q^2008+ 139279034752*p^134*q^2010+57039456315*p^132*q^2012+6312054506*p^130*q^2014+ 245908909*p^128*q^2016+5570794*p^126*q^2018+122352*p^124*q^2020+1308*p^122*q^ 2022+1124*p^151*q^1992+39594*p^149*q^1994+388504*p^147*q^1996+12649070*p^145*q^ 1998+105064096*p^143*q^2000+1129786072*p^141*q^2002+10577692209*p^139*q^2004+ 61325285676*p^137*q^2006+141878537506*p^135*q^2008+108817617892*p^133*q^2010+ 24798501688*p^131*q^2012+1578580980*p^129*q^2014+47507161*p^127*q^2016+788640*p ^125*q^2018+8920*p^123*q^2020+78*p^121*q^2022+8*p^152*q^1990+25344*p^150*q^1992 +27732*p^148*q^1994+3036704*p^146*q^1996+26497636*p^144*q^1998+353420987*p^142* q^2000+3386140294*p^140*q^2002+26805641882*p^138*q^2004+105456205056*p^136*q^ 2006+146719734619*p^134*q^2008+65868913590*p^132*q^2010+8130049566*p^130*q^2012 +339141514*p^128*q^2014+8354830*p^126*q^2016+179748*p^124*q^2018+24*p^122*q^ 2020+212*p^151*q^1990+86732*p^149*q^1992+236908*p^147*q^1994+11600054*p^145*q^ 1996+92910500*p^143*q^1998+1019404205*p^141*q^2000+9606349256*p^139*q^2002+ 57927551155*p^137*q^2004+144040424074*p^135*q^2006+118961896412*p^133*q^2008+ 30260153888*p^131*q^2010+2124495737*p^129*q^2012+66133618*p^127*q^2014+1196696* p^125*q^2016+21604*p^123*q^2018+321*p^121*q^2020+14676*p^150*q^1990+48665*p^148 *q^1992+2218050*p^146*q^1994+27503458*p^144*q^1996+310927832*p^142*q^1998+ 3034427560*p^140*q^2000+24672730556*p^138*q^2002+102700454571*p^136*q^2004+ 154524898862*p^134*q^2006+75267912916*p^132*q^2008+10435777736*p^130*q^2010+ 461866257*p^128*q^2012+11771862*p^126*q^2014+170810*p^124*q^2016+480*p^122*q^ 2018+294*p^151*q^1988+98684*p^149*q^1990+164982*p^147*q^1992+10354526*p^145*q^ 1994+78524888*p^143*q^1996+930483046*p^141*q^1998+8689699396*p^139*q^2000+ 54753682038*p^137*q^2002+145164465298*p^135*q^2004+129897219590*p^133*q^2006+ 36360609627*p^131*q^2008+2805646154*p^129*q^2010+90217736*p^127*q^2012+1790810* p^125*q^2014+41072*p^123*q^2016+3500*p^150*q^1988+131414*p^148*q^1990+1519974*p ^146*q^1992+28057626*p^144*q^1994+279755460*p^142*q^1996+2726208060*p^140*q^ 1998+22702323462*p^138*q^2000+100035496352*p^136*q^2002+161037320583*p^134*q^ 2004+85417246968*p^132*q^2006+13176381991*p^130*q^2008+635051970*p^128*q^2010+ 16670660*p^126*q^2012+222310*p^124*q^2014+2536*p^122*q^2016+48*p^120*q^2018+20* p^151*q^1986+89646*p^149*q^1988+163586*p^147*q^1990+8876608*p^145*q^1992+ 70675430*p^143*q^1994+842184084*p^141*q^1996+7879962164*p^139*q^1998+ 51373100047*p^137*q^2000+145871329422*p^135*q^2002+140115736451*p^133*q^2004+ 43405050412*p^131*q^2006+3721560336*p^129*q^2008+125851412*p^127*q^2010+2799824 *p^125*q^2012+54130*p^123*q^2014+8*p^121*q^2016+4034*p^150*q^1986+223630*p^148* q^1988+1019830*p^146*q^1990+27193602*p^144*q^1992+245266098*p^142*q^1994+ 2454122757*p^140*q^1996+20768123190*p^138*q^1998+96510146111*p^136*q^2000+ 167729092762*p^134*q^2002+96114142460*p^132*q^2004+16596688614*p^130*q^2006+ 862415129*p^128*q^2008+22867774*p^126*q^2010+319524*p^124*q^2012+5552*p^122*q^ 2014+12*p^151*q^1984+39184*p^149*q^1986+175920*p^147*q^1988+6957228*p^145*q^ 1990+66123884*p^143*q^1992+758163386*p^141*q^1994+7088911481*p^139*q^1996+ 48235586794*p^137*q^1998+145666817368*p^135*q^2000+151343288580*p^133*q^2002+ 50994652220*p^131*q^2004+4851176624*p^129*q^2006+170933050*p^127*q^2008+3794542 *p^125*q^2010+36978*p^123*q^2012+148*p^121*q^2014+3*p^119*q^2016+956*p^150*q^ 1984+302958*p^148*q^1986+863048*p^146*q^1988+25932524*p^144*q^1990+214816438*p^ 142*q^1992+2227694048*p^140*q^1994+19069592443*p^138*q^1996+93161420298*p^136*q ^1998+172969943259*p^134*q^2000+107326654272*p^132*q^2002+20570345070*p^130*q^ 2004+1165790420*p^128*q^2006+32258762*p^126*q^2008+614308*p^124*q^2010+15852*p^ 122*q^2012+4*p^151*q^1982+30868*p^149*q^1984+329604*p^147*q^1986+5209764*p^145* q^1988+64163698*p^143*q^1990+688618500*p^141*q^1992+6403462380*p^139*q^1994+ 44904841792*p^137*q^1996+144876645358*p^135*q^1998+161425215520*p^133*q^2000+ 59751620142*p^131*q^2002+6333973992*p^129*q^2004+242075828*p^127*q^2006+5699112 *p^125*q^2008+46370*p^123*q^2010+352*p^121*q^2012+256*p^150*q^1982+226114*p^148 *q^1984+603746*p^146*q^1986+23100494*p^144*q^1988+187095612*p^142*q^1990+ 1997718357*p^140*q^1992+17385397816*p^138*q^1994+89185332282*p^136*q^1996+ 178398701834*p^134*q^1998+119020966702*p^132*q^2000+25336938542*p^130*q^2002+ 1558225981*p^128*q^2004+42801260*p^126*q^2006+770153*p^124*q^2008+8916*p^122*q^ 2010+8*p^151*q^1980+15308*p^149*q^1982+593444*p^147*q^1984+4074040*p^145*q^1986 +62438424*p^143*q^1988+617103028*p^141*q^1990+5795178730*p^139*q^1992+ 41884734538*p^137*q^1994+143317185793*p^135*q^1996+172277488860*p^133*q^1998+ 68904131016*p^131*q^2000+8140514514*p^129*q^2002+330507784*p^127*q^2004+7812018 *p^125*q^2006+111898*p^123*q^2008+2798*p^121*q^2010+104*p^150*q^1980+167714*p^ 148*q^1982+594410*p^146*q^1984+19785766*p^144*q^1986+168542576*p^142*q^1988+ 1811315688*p^140*q^1990+15827770232*p^138*q^1992+85388596858*p^136*q^1994+ 182033565917*p^134*q^1996+131343589604*p^132*q^1998+30754265088*p^130*q^2000+ 2091445380*p^128*q^2002+61434833*p^126*q^2004+1290498*p^124*q^2006+5296*p^122*q ^2008+8*p^120*q^2010+4500*p^149*q^1980+710462*p^147*q^1982+3151133*p^145*q^1984 +59746044*p^143*q^1986+550141432*p^141*q^1988+5230994618*p^139*q^1990+ 38884028621*p^137*q^1992+141264847312*p^135*q^1994+182008159152*p^133*q^1996+ 79216268252*p^131*q^1998+10421645756*p^129*q^2000+452246522*p^127*q^2002+ 10467006*p^125*q^2004+151452*p^123*q^2006+3024*p^121*q^2008+4*p^154*q^1974+256* p^150*q^1978+123122*p^148*q^1980+843178*p^146*q^1982+16091043*p^144*q^1984+ 155571326*p^142*q^1986+1637767946*p^140*q^1988+14406527120*p^138*q^1990+ 80976777502*p^136*q^1992+185840683252*p^134*q^1994+143631839501*p^132*q^1996+ 37121573030*p^130*q^1998+2770774944*p^128*q^2000+86675400*p^126*q^2002+1875000* p^124*q^2004+14212*p^122*q^2006+228*p^120*q^2008+2444*p^149*q^1978+637280*p^147 *q^1980+2314920*p^145*q^1982+56180530*p^143*q^1984+483433138*p^141*q^1986+ 4711107564*p^139*q^1988+35987552436*p^137*q^1990+138489710087*p^135*q^1992+ 192222663332*p^133*q^1994+89989679097*p^131*q^1996+13194928020*p^129*q^1998+ 611637574*p^127*q^2000+14063262*p^125*q^2002+222046*p^123*q^2004+420*p^121*q^ 2006+24*p^150*q^1976+51004*p^148*q^1978+1317332*p^146*q^1980+13440964*p^144*q^ 1982+144299498*p^142*q^1984+1490097532*p^140*q^1986+13124053651*p^138*q^1988+ 77031467032*p^136*q^1990+187895807389*p^134*q^1992+156759139960*p^132*q^1994+ 44060865990*p^130*q^1996+3641855094*p^128*q^1998+120700239*p^126*q^2000+2521254 *p^124*q^2002+30814*p^122*q^2004+754*p^120*q^2006+64*p^153*q^1972+2728*p^149*q^ 1976+589644*p^147*q^1978+2020842*p^145*q^1980+50573004*p^143*q^1982+435125424*p ^141*q^1984+4260300390*p^139*q^1986+33163456875*p^137*q^1988+135248799290*p^135 *q^1990+200848770642*p^133*q^1992+101799092472*p^131*q^1994+16563704334*p^129*q ^1996+843917932*p^127*q^1998+20896980*p^125*q^2000+438582*p^123*q^2002+984*p^ 121*q^2004+4*p^119*q^2006+8*p^150*q^1974+31620*p^148*q^1976+1571500*p^146*q^ 1978+10333574*p^144*q^1980+136988368*p^142*q^1982+1331543032*p^140*q^1984+ 11894974636*p^138*q^1986+72606302799*p^136*q^1988+189868992444*p^134*q^1990+ 169670643410*p^132*q^1992+52205548604*p^130*q^1994+4777574642*p^128*q^1996+ 163642848*p^126*q^1998+3128388*p^124*q^2000+25950*p^122*q^2002+16*p^120*q^2004+ 4*p^153*q^1970+1012*p^149*q^1974+355844*p^147*q^1976+2107784*p^145*q^1978+ 44703987*p^143*q^1980+385654404*p^141*q^1982+3853924325*p^139*q^1984+ 30582311144*p^137*q^1986+131350460358*p^135*q^1988+210149748876*p^133*q^1990+ 113966639233*p^131*q^1992+20510499662*p^129*q^1994+1117930966*p^127*q^1996+ 29406368*p^125*q^1998+577646*p^123*q^2000+5186*p^121*q^2002+104*p^119*q^2004+ 420*p^152*q^1970+19542*p^148*q^1974+1794753*p^146*q^1976+8412292*p^144*q^1978+ 129859082*p^142*q^1980+1206236476*p^140*q^1982+10809041051*p^138*q^1984+ 68525353922*p^136*q^1986+190257722844*p^134*q^1988+183102034786*p^132*q^1990+ 60808051861*p^130*q^1992+6214820374*p^128*q^1994+231623647*p^126*q^1996+4544812 *p^124*q^1998+83200*p^122*q^2000+24*p^120*q^2002+210*p^149*q^1972+241132*p^147* q^1974+2765084*p^145*q^1976+37983380*p^143*q^1978+350138944*p^141*q^1980+ 3482222422*p^139*q^1982+28073108859*p^137*q^1984+127182873920*p^135*q^1986+ 217322594652*p^133*q^1988+127318776244*p^131*q^1990+25245973478*p^129*q^1992+ 1512332294*p^127*q^1994+41362090*p^125*q^1996+761722*p^123*q^1998+3088*p^121*q^ 2000+180*p^152*q^1968+4*p^150*q^1970+14036*p^148*q^1972+1515966*p^146*q^1974+ 6404802*p^144*q^1976+121043216*p^142*q^1978+1075103530*p^140*q^1980+9791460774* p^138*q^1982+64114221477*p^136*q^1984+190481085690*p^134*q^1986+196160210819*p^ 132*q^1988+70748601680*p^130*q^1990+7988884068*p^128*q^1992+313824726*p^126*q^ 1994+6436525*p^124*q^1996+117892*p^122*q^1998+500*p^120*q^2000+6*p^118*q^2002+ 1456*p^151*q^1968+64*p^149*q^1970+138468*p^147*q^1972+3612066*p^145*q^1974+ 32049296*p^143*q^1976+321202552*p^141*q^1978+3156702432*p^139*q^1980+ 25762373138*p^137*q^1982+122625723125*p^135*q^1984+225012852526*p^133*q^1986+ 140788688035*p^131*q^1988+30640457672*p^129*q^1990+2011256718*p^127*q^1992+ 57369320*p^125*q^1994+915575*p^123*q^1996+9916*p^121*q^1998+4*p^152*q^1966+8*p^ 150*q^1968+4598*p^148*q^1970+1186054*p^146*q^1972+5927142*p^144*q^1974+ 110741532*p^142*q^1976+962980890*p^140*q^1978+8868427612*p^138*q^1980+ 60118868592*p^136*q^1982+188973497449*p^134*q^1984+209713633420*p^132*q^1986+ 81038869152*p^130*q^1988+10228765166*p^128*q^1990+429197866*p^126*q^1992+ 9631378*p^124*q^1994+193302*p^122*q^1996+668*p^120*q^1998+1880*p^151*q^1966+56* p^149*q^1968+103436*p^147*q^1970+4052546*p^145*q^1972+25913328*p^143*q^1974+ 300475107*p^141*q^1976+2858556458*p^139*q^1978+23594290532*p^137*q^1980+ 117805956780*p^135*q^1982+230721398259*p^133*q^1984+155442036254*p^131*q^1986+ 36904110690*p^129*q^1988+2674526248*p^127*q^1990+81738434*p^125*q^1992+1284176* p^123*q^1994+20346*p^121*q^1996+16*p^119*q^1998+4*p^152*q^1964+2860*p^150*q^ 1966+2236*p^148*q^1968+832222*p^146*q^1970+6412428*p^144*q^1972+99315120*p^142* q^1974+857489980*p^140*q^1976+8026377284*p^138*q^1978+55883164378*p^136*q^1980+ 187377028802*p^134*q^1982+222255684875*p^132*q^1984+92833252656*p^130*q^1986+ 12913472758*p^128*q^1988+585025256*p^126*q^1990+13296318*p^124*q^1992+204744*p^ 122*q^1994+538*p^120*q^1996+280*p^151*q^1964+248*p^149*q^1966+58668*p^147*q^ 1968+3861404*p^145*q^1970+20714742*p^143*q^1972+279043664*p^141*q^1974+ 2579826534*p^139*q^1976+21576821660*p^137*q^1978+112599728934*p^135*q^1980+ 236700536622*p^133*q^1982+170186915553*p^131*q^1984+43996135772*p^129*q^1986+ 3513013129*p^127*q^1988+110999092*p^125*q^1990+1923115*p^123*q^1992+38078*p^121 *q^1994+112*p^119*q^1996+8736*p^150*q^1964+588*p^148*q^1966+559280*p^146*q^1968 +7666596*p^144*q^1970+87317914*p^142*q^1972+778645700*p^140*q^1974+7289882548*p ^138*q^1976+52090135534*p^136*q^1978+184413090053*p^134*q^1980+235171708430*p^ 132*q^1982+104841765816*p^130*q^1984+16168784176*p^128*q^1986+790469359*p^126*q ^1988+19396422*p^124*q^1990+236561*p^122*q^1992+2736*p^120*q^1994+176*p^151*q^ 1962+3188*p^149*q^1964+30496*p^147*q^1966+3415830*p^145*q^1968+17849800*p^143*q ^1970+259248350*p^141*q^1972+2321434294*p^139*q^1974+19674219809*p^137*q^1976+ 107420792092*p^135*q^1978+240122713870*p^133*q^1980+186085091082*p^131*q^1982+ 51913923132*p^129*q^1984+4627164790*p^127*q^1986+156707042*p^125*q^1988+2936104 *p^123*q^1990+59532*p^121*q^1992+8*p^119*q^1994+4112*p^150*q^1962+2636*p^148*q^ 1964+425368*p^146*q^1966+8621460*p^144*q^1968+73297166*p^142*q^1970+708216858*p ^140*q^1972+6599638838*p^138*q^1974+48213012625*p^136*q^1976+181150641940*p^134 *q^1978+247067674651*p^132*q^1980+118434446270*p^130*q^1982+20059377423*p^128*q ^1984+1064078094*p^126*q^1986+26614570*p^124*q^1988+328992*p^122*q^1990+4160*p^ 120*q^1992+8*p^118*q^1994+8*p^151*q^1960+21260*p^149*q^1962+11020*p^147*q^1964+ 2471614*p^145*q^1966+16060835*p^143*q^1968+240400222*p^141*q^1970+2076176644*p^ 139*q^1972+17935110814*p^137*q^1974+101861424444*p^135*q^1976+244151158820*p^ 133*q^1978+201516141367*p^131*q^1980+60869690480*p^129*q^1982+5965858928*p^127* q^1984+211577982*p^125*q^1986+4086584*p^123*q^1988+41496*p^121*q^1990+212*p^119 *q^1992+2204*p^150*q^1960+2728*p^148*q^1962+258308*p^146*q^1964+9310654*p^144*q ^1966+63122714*p^142*q^1968+647488900*p^140*q^1970+6008761371*p^138*q^1972+ 44735940726*p^136*q^1974+176902069960*p^134*q^1976+258968624988*p^132*q^1978+ 132245584736*p^130*q^1980+24577684386*p^128*q^1982+1432677032*p^126*q^1984+ 38677332*p^124*q^1986+574068*p^122*q^1988+15880*p^120*q^1990+23872*p^149*q^1960 +16024*p^147*q^1962+2043922*p^145*q^1964+16860634*p^143*q^1966+215689886*p^141* q^1968+1883761132*p^139*q^1970+16306496046*p^137*q^1972+96372440066*p^135*q^ 1974+245347755007*p^133*q^1976+218135738338*p^131*q^1978+70573484333*p^129*q^ 1980+7733964676*p^127*q^1982+294751887*p^125*q^1984+5971536*p^123*q^1986+52934* p^121*q^1988+152*p^119*q^1990+584*p^150*q^1958+28432*p^148*q^1960+137204*p^146* q^1962+8150868*p^144*q^1964+51258738*p^142*q^1966+599147160*p^140*q^1968+ 5398646964*p^138*q^1970+41195423161*p^136*q^1972+172380036570*p^134*q^1974+ 269518059042*p^132*q^1976+147885025248*p^130*q^1978+29882131820*p^128*q^1980+ 1906448578*p^126*q^1982+52129780*p^124*q^1984+770558*p^122*q^1986+9664*p^120*q^ 1988+4*p^118*q^1990+4*p^151*q^1956+15620*p^149*q^1958+13024*p^147*q^1960+ 1497114*p^145*q^1962+18902630*p^143*q^1964+193886452*p^141*q^1966+1689777717*p^ 139*q^1968+14894354944*p^137*q^1970+90867346389*p^135*q^1972+247019438996*p^133 *q^1974+234059080593*p^131*q^1976+81338794820*p^129*q^1978+9791112945*p^127*q^ 1980+397097220*p^125*q^1982+8740362*p^123*q^1984+91084*p^121*q^1986+2590*p^119* q^1988+16*p^150*q^1956+67676*p^148*q^1958+90680*p^146*q^1960+7190690*p^144*q^ 1962+44426710*p^142*q^1964+553743152*p^140*q^1966+4907190547*p^138*q^1968+ 37986944648*p^136*q^1970+166765870124*p^134*q^1972+279894620582*p^132*q^1974+ 163378154523*p^130*q^1976+36017570046*p^128*q^1978+2547930991*p^126*q^1980+ 74746202*p^124*q^1982+1186162*p^122*q^1984+7736*p^120*q^1986+8716*p^149*q^1956+ 23644*p^147*q^1958+1001046*p^145*q^1960+19583290*p^143*q^1962+168920067*p^141*q ^1964+1531763304*p^139*q^1966+13520517675*p^137*q^1968+85500692514*p^135*q^1970 +246322966229*p^133*q^1972+251008535266*p^131*q^1974+92963436533*p^129*q^1976+ 12396451888*p^127*q^1978+540291573*p^125*q^1980+12165940*p^123*q^1982+135464*p^ 121*q^1984+3082*p^119*q^1986+172*p^150*q^1954+67548*p^148*q^1956+96082*p^146*q^ 1958+6092910*p^144*q^1960+41696366*p^142*q^1962+509060707*p^140*q^1964+ 4426788696*p^138*q^1966+34883440578*p^136*q^1968+161136806580*p^134*q^1970+ 288301751889*p^132*q^1972+180702989668*p^130*q^1974+42898803248*p^128*q^1976+ 3353281878*p^126*q^1978+103228914*p^124*q^1980+1796454*p^122*q^1982+12070*p^120 *q^1984+180*p^118*q^1986+1232*p^149*q^1954+102912*p^147*q^1956+598596*p^145*q^ 1958+18978364*p^143*q^1960+143058154*p^141*q^1962+1391384638*p^139*q^1964+ 12278301660*p^137*q^1966+79996986913*p^135*q^1968+245798565866*p^133*q^1970+ 267025860280*p^131*q^1972+106016018896*p^129*q^1974+15457662989*p^127*q^1976+ 735382674*p^125*q^1978+16703683*p^123*q^1980+186686*p^121*q^1982+780*p^119*q^ 1984+8*p^150*q^1952+58108*p^148*q^1954+49708*p^146*q^1956+4807936*p^144*q^1958+ 41777502*p^142*q^1960+468926086*p^140*q^1962+4003952419*p^138*q^1964+ 32103042468*p^136*q^1966+154860969692*p^134*q^1968+296804727210*p^132*q^1970+ 197724830958*p^130*q^1972+50608587390*p^128*q^1974+4367796276*p^126*q^1976+ 139299934*p^124*q^1978+2745844*p^122*q^1980+20960*p^120*q^1982+756*p^118*q^1984 +2268*p^149*q^1952+168206*p^147*q^1954+532612*p^145*q^1956+18096266*p^143*q^ 1958+123697127*p^141*q^1960+1277212670*p^139*q^1962+11168432483*p^137*q^1964+ 74829276702*p^135*q^1966+242743724933*p^133*q^1968+283552716192*p^131*q^1970+ 119609710585*p^129*q^1972+19264313734*p^127*q^1974+1006316439*p^125*q^1976+ 25483980*p^123*q^1978+324778*p^121*q^1980+1516*p^119*q^1982+21196*p^148*q^1952+ 108314*p^146*q^1954+3381514*p^144*q^1956+41593232*p^142*q^1958+418129218*p^140* q^1960+3601986412*p^138*q^1962+29310752125*p^136*q^1964+148399287144*p^134*q^ 1966+303035296689*p^132*q^1968+216866820920*p^130*q^1970+59332558049*p^128*q^ 1972+5652216030*p^126*q^1974+191000678*p^124*q^1976+3375460*p^122*q^1978+23178* p^120*q^1980+36*p^118*q^1982+516*p^149*q^1950+213018*p^147*q^1952+339208*p^145* q^1954+16117366*p^143*q^1956+108725346*p^141*q^1958+1172103126*p^139*q^1960+ 10143498762*p^137*q^1962+69729099998*p^135*q^1964+240262420044*p^133*q^1966+ 298914161063*p^131*q^1968+134742410584*p^129*q^1970+23479615983*p^127*q^1972+ 1341164172*p^125*q^1974+33459877*p^123*q^1976+556398*p^121*q^1978+2400*p^119*q^ 1980+104*p^117*q^1982+16584*p^148*q^1950+240324*p^146*q^1952+2580178*p^144*q^ 1954+42293652*p^142*q^1956+373010104*p^140*q^1958+3269301241*p^138*q^1960+ 26899923218*p^136*q^1962+141487755947*p^134*q^1964+309073616678*p^132*q^1966+ 235054820319*p^130*q^1968+69041642682*p^128*q^1970+7270771172*p^126*q^1972+ 269095438*p^124*q^1974+5557943*p^122*q^1976+45954*p^120*q^1978+154*p^118*q^1980 +28*p^149*q^1948+147298*p^147*q^1950+261918*p^145*q^1952+13696038*p^143*q^1954+ 99930066*p^141*q^1956+1078448500*p^139*q^1958+9195863071*p^137*q^1960+ 64813043954*p^135*q^1962+235393547692*p^133*q^1964+314587641308*p^131*q^1966+ 150637128114*p^129*q^1968+28598202594*p^127*q^1970+1797537255*p^125*q^1972+ 46445112*p^123*q^1974+720281*p^121*q^1976+2698*p^119*q^1978+4*p^150*q^1946+8956 *p^148*q^1948+445598*p^146*q^1950+1948852*p^144*q^1952+40664230*p^142*q^1954+ 323631301*p^140*q^1956+2961710328*p^138*q^1958+24528134379*p^136*q^1960+ 134720293440*p^134*q^1962+312642632092*p^132*q^1964+255492189010*p^130*q^1966+ 79598518418*p^128*q^1968+9274772542*p^126*q^1970+366193003*p^124*q^1972+7584866 *p^122*q^1974+88664*p^120*q^1976+180*p^118*q^1978+6*p^116*q^1980+12*p^149*q^ 1946+93332*p^147*q^1948+297876*p^145*q^1950+10709420*p^143*q^1952+95127634*p^ 141*q^1954+989002471*p^139*q^1956+8326540638*p^137*q^1958+60078980974*p^135*q^ 1960+230816970042*p^133*q^1962+328690482833*p^131*q^1964+168075762294*p^129*q^ 1966+34310291168*p^127*q^1968+2359941648*p^125*q^1970+64742526*p^123*q^1972+ 1003948*p^121*q^1974+4296*p^119*q^1976+8*p^117*q^1978+1568*p^148*q^1946+522960* p^146*q^1948+1377720*p^144*q^1950+39312470*p^142*q^1952+285266902*p^140*q^1954+ 2695611882*p^138*q^1956+22454475918*p^136*q^1958+127626225916*p^134*q^1960+ 316206161906*p^132*q^1962+274526692320*p^130*q^1964+91440778784*p^128*q^1966+ 11665913002*p^126*q^1968+506742880*p^124*q^1970+10711768*p^122*q^1972+156876*p^ 120*q^1974+288*p^118*q^1976+156*p^149*q^1944+74106*p^147*q^1946+561460*p^145*q^ 1948+8722978*p^143*q^1950+91840182*p^141*q^1952+896094512*p^139*q^1954+ 7560358045*p^137*q^1956+55615874148*p^135*q^1958+224325045165*p^133*q^1960+ 342750807410*p^131*q^1962+186070298564*p^129*q^1964+40997485234*p^127*q^1966+ 3127378729*p^125*q^1968+90997376*p^123*q^1970+1578331*p^121*q^1972+10226*p^119* q^1974+8*p^117*q^1976+872*p^148*q^1944+401904*p^146*q^1946+1035748*p^144*q^1948 +34748654*p^142*q^1950+252934838*p^140*q^1952+2465991338*p^138*q^1954+ 20420927475*p^136*q^1956+120610002706*p^134*q^1958+317170506546*p^132*q^1960+ 295668492840*p^130*q^1962+104190503937*p^128*q^1964+14598894314*p^126*q^1966+ 681819520*p^124*q^1968+14533218*p^122*q^1970+177498*p^120*q^1972+224*p^118*q^ 1974+2*p^153*q^1938+8*p^149*q^1942+25000*p^147*q^1944+1040276*p^145*q^1946+ 6518782*p^143*q^1948+90003512*p^141*q^1950+799892052*p^139*q^1952+6836577802*p^ 137*q^1954+51303195751*p^135*q^1956+218356605534*p^133*q^1958+354806439818*p^ 131*q^1960+205954931272*p^129*q^1962+48289475081*p^127*q^1964+4065218672*p^125* q^1966+126760040*p^123*q^1968+2201690*p^121*q^1970+24976*p^119*q^1972+16*p^117* q^1974+1668*p^148*q^1942+364352*p^146*q^1944+826818*p^144*q^1946+30385058*p^142 *q^1948+229572654*p^140*q^1950+2266287223*p^138*q^1952+18658212832*p^136*q^1954 +113580646153*p^134*q^1956+317793027964*p^132*q^1958+315288849393*p^130*q^1960+ 118317950632*p^128*q^1962+18008339275*p^126*q^1964+921474752*p^124*q^1966+ 20705630*p^122*q^1968+282036*p^120*q^1970+806*p^118*q^1972+14544*p^147*q^1942+ 1133088*p^145*q^1944+5214656*p^143*q^1946+87512428*p^141*q^1948+716242992*p^139 *q^1950+6205699406*p^137*q^1952+47332713968*p^135*q^1954+210475811427*p^133*q^ 1956+366958018780*p^131*q^1958+225774056266*p^129*q^1960+56793168840*p^127*q^ 1962+5283137127*p^125*q^1964+179056820*p^123*q^1966+3246406*p^121*q^1968+38648* p^119*q^1970+6*p^117*q^1972+34*p^152*q^1936+504*p^148*q^1940+204842*p^146*q^ 1942+1426032*p^144*q^1944+24946824*p^142*q^1946+211619902*p^140*q^1948+ 2062948020*p^138*q^1950+16947806599*p^136*q^1952+106656319854*p^134*q^1954+ 315982007876*p^132*q^1956+336343994372*p^130*q^1958+133620087472*p^128*q^1960+ 22113264140*p^126*q^1962+1233147816*p^124*q^1964+28965416*p^122*q^1966+370299*p ^120*q^1968+2140*p^118*q^1970+10808*p^147*q^1940+1181450*p^145*q^1942+3427012*p ^143*q^1944+82304152*p^141*q^1946+633485172*p^139*q^1948+5643416692*p^137*q^ 1950+43500072418*p^135*q^1952+203305508894*p^133*q^1954+376570935263*p^131*q^ 1956+248003647554*p^129*q^1958+65864674990*p^127*q^1960+6743736040*p^125*q^1962 +242597679*p^123*q^1964+4207294*p^121*q^1966+44558*p^119*q^1968+34*p^117*q^1970 +36*p^148*q^1938+125098*p^146*q^1940+2045376*p^144*q^1942+20993958*p^142*q^1944 +201132008*p^140*q^1946+1883001239*p^138*q^1948+15465208262*p^136*q^1950+ 99891530602*p^134*q^1952+314126714896*p^132*q^1954+355361257671*p^130*q^1956+ 150211976636*p^128*q^1958+26743076909*p^126*q^1960+1653557954*p^124*q^1962+ 42108437*p^122*q^1964+693958*p^120*q^1966+7319*p^118*q^1968+240*p^151*q^1934+ 7964*p^147*q^1938+968206*p^145*q^1940+3077494*p^143*q^1942+75104088*p^141*q^ 1944+568161650*p^139*q^1946+5145914580*p^137*q^1948+39933899466*p^135*q^1950+ 194608675814*p^133*q^1952+385855232512*p^131*q^1954+269768059787*p^129*q^1956+ 76452018552*p^127*q^1958+8613944868*p^125*q^1960+336326776*p^123*q^1962+6343452 *p^121*q^1964+51124*p^119*q^1966+68*p^117*q^1968+12*p^148*q^1936+73540*p^146*q^ 1938+2563072*p^144*q^1940+15957016*p^142*q^1942+191382662*p^140*q^1944+ 1698297194*p^138*q^1946+14012683830*p^136*q^1948+93353063426*p^134*q^1950+ 309655690043*p^132*q^1952+376192373474*p^130*q^1954+167996075510*p^128*q^1956+ 32208496038*p^126*q^1958+2176197751*p^124*q^1960+57823676*p^122*q^1962+789380*p ^120*q^1964+7810*p^118*q^1966+64*p^151*q^1932+4*p^149*q^1934+1956*p^147*q^1936+ 675120*p^145*q^1938+3389332*p^143*q^1940+66532740*p^141*q^1942+512362284*p^139* q^1944+4695789968*p^137*q^1946+36655143808*p^135*q^1948+186432151496*p^133*q^ 1950+392722498013*p^131*q^1952+293576760548*p^129*q^1954+87607545727*p^127*q^ 1956+10806729338*p^125*q^1958+455920063*p^123*q^1960+8954066*p^121*q^1962+ 115300*p^119*q^1964+790*p^117*q^1966+910*p^150*q^1932+58522*p^146*q^1936+ 2815024*p^144*q^1938+12249512*p^142*q^1940+183954624*p^140*q^1942+1530300659*p^ 138*q^1944+12786262840*p^136*q^1946+86862677854*p^134*q^1948+305364578012*p^132 *q^1950+394055757608*p^130*q^1952+187552836426*p^128*q^1954+38280865458*p^126*q ^1956+2873392364*p^124*q^1958+83078937*p^122*q^1960+1258638*p^120*q^1962+6684*p ^118*q^1964+748*p^147*q^1934+470796*p^145*q^1936+4186780*p^143*q^1938+57529442* p^141*q^1940+466160138*p^139*q^1942+4286456584*p^137*q^1944+33568321392*p^135*q ^1946+177396745141*p^133*q^1948+398838665408*p^131*q^1950+316756456347*p^129*q^ 1952+100480704096*p^127*q^1954+13488972428*p^125*q^1956+621324260*p^123*q^1958+ 12562530*p^121*q^1960+158256*p^119*q^1962+1423*p^117*q^1964+872*p^150*q^1930+ 148*p^148*q^1932+31404*p^146*q^1934+2430998*p^144*q^1936+10309356*p^142*q^1938+ 172232544*p^140*q^1940+1378540348*p^138*q^1942+11615597096*p^136*q^1944+ 80763682948*p^134*q^1946+298509678873*p^132*q^1948+413420695420*p^130*q^1950+ 207972129740*p^128*q^1952+45314663932*p^126*q^1954+3745562004*p^124*q^1956+ 114690244*p^122*q^1958+1855436*p^120*q^1960+11260*p^118*q^1962+32*p^116*q^1964+ 2002*p^149*q^1930+80*p^147*q^1932+307310*p^145*q^1934+5479408*p^143*q^1936+ 46253330*p^141*q^1938+432576854*p^139*q^1940+3896569156*p^137*q^1942+ 30681954749*p^135*q^1944+168809204322*p^133*q^1946+402485828527*p^131*q^1948+ 342000155978*p^129*q^1950+114085324513*p^127*q^1952+16658255056*p^125*q^1954+ 831831649*p^123*q^1956+17941524*p^121*q^1958+196146*p^119*q^1960+900*p^117*q^ 1962+60*p^150*q^1928+8*p^148*q^1930+13382*p^146*q^1932+2075604*p^144*q^1934+ 8768116*p^142*q^1936+161174940*p^140*q^1938+1238932777*p^138*q^1940+10595206932 *p^136*q^1942+74903397767*p^134*q^1944+292079306380*p^132*q^1946+429558884766*p ^130*q^1948+230310467780*p^128*q^1950+52971336788*p^126*q^1952+4824098888*p^124 *q^1954+159272422*p^122*q^1956+2547256*p^120*q^1958+32136*p^118*q^1960+180*p^ 116*q^1962+4788*p^149*q^1928+1556*p^147*q^1930+243100*p^145*q^1932+5909466*p^ 143*q^1934+39334450*p^141*q^1936+406566924*p^139*q^1938+3548516926*p^137*q^1940 +28108855154*p^135*q^1942+159490750521*p^133*q^1944+405355536686*p^131*q^1946+ 365817818628*p^129*q^1948+129569338690*p^127*q^1950+20382053236*p^125*q^1952+ 1135163902*p^123*q^1954+26868713*p^121*q^1956+374326*p^119*q^1958+440*p^117*q^ 1960+60*p^150*q^1926+2574*p^148*q^1928+4112*p^146*q^1930+1421354*p^144*q^1932+ 9791412*p^142*q^1934+141323902*p^140*q^1936+1112166516*p^138*q^1938+9628107195* p^136*q^1940+69196274518*p^134*q^1942+283263708588*p^132*q^1944+446841963344*p^ 130*q^1946+253429292990*p^128*q^1948+61979971324*p^126*q^1950+6185229910*p^124* q^1952+215603460*p^122*q^1954+3394538*p^120*q^1956+23872*p^118*q^1958+112*p^116 *q^1960+1456*p^149*q^1926+464*p^147*q^1928+134692*p^145*q^1930+6017876*p^143*q^ 1932+30662594*p^141*q^1934+385454498*p^139*q^1936+3220801122*p^137*q^1938+ 25643590226*p^135*q^1940+150975272992*p^133*q^1942+405753995272*p^131*q^1944+ 391809627688*p^129*q^1946+145898517865*p^127*q^1948+24599571562*p^125*q^1950+ 1493014089*p^123*q^1952+36918468*p^121*q^1954+493232*p^119*q^1956+4574*p^117*q^ 1958+11*p^115*q^1960+13624*p^148*q^1926+8528*p^146*q^1928+1175832*p^144*q^1930+ 11093350*p^142*q^1932+126227486*p^140*q^1934+1011101175*p^138*q^1936+8805295168 *p^136*q^1938+63985981375*p^134*q^1940+274947289606*p^132*q^1942+460138147049*p ^130*q^1944+278430919518*p^128*q^1946+71446475651*p^126*q^1948+7880611814*p^124 *q^1950+302222081*p^122*q^1952+5551000*p^120*q^1954+61626*p^118*q^1956+4*p^116* q^1958+904*p^149*q^1924+1868*p^147*q^1926+64006*p^145*q^1928+5133438*p^143*q^ 1930+26274772*p^141*q^1932+358683918*p^139*q^1934+2914117762*p^137*q^1936+ 23417032594*p^135*q^1938+141671318675*p^133*q^1940+405289178490*p^131*q^1942+ 415952308065*p^129*q^1944+164462216644*p^127*q^1946+29605000884*p^125*q^1948+ 1985302890*p^123*q^1950+51867413*p^121*q^1952+649478*p^119*q^1954+3692*p^117*q^ 1956+8*p^115*q^1958+11024*p^148*q^1924+7312*p^146*q^1926+864276*p^144*q^1928+ 12463490*p^142*q^1930+106698692*p^140*q^1932+928298144*p^138*q^1934+7999912595* p^136*q^1936+58991240846*p^134*q^1938+264906769920*p^132*q^1940+474691981808*p^ 130*q^1942+303797197508*p^128*q^1944+82541140442*p^126*q^1946+9858093141*p^124* q^1948+410349956*p^122*q^1950+7772045*p^120*q^1952+87772*p^118*q^1954+292*p^116 *q^1956+142*p^149*q^1922+21572*p^147*q^1924+42276*p^145*q^1926+4230054*p^143*q^ 1928+24400952*p^141*q^1930+333352686*p^139*q^1932+2629511408*p^137*q^1934+ 21372945568*p^135*q^1936+133184129342*p^133*q^1938+402061073707*p^131*q^1940+ 441808957196*p^129*q^1942+183817067785*p^127*q^1944+35211142360*p^125*q^1946+ 2599353571*p^123*q^1948+71857480*p^121*q^1950+941518*p^119*q^1952+6400*p^117*q^ 1954+6760*p^148*q^1922+1836*p^146*q^1924+523902*p^144*q^1926+13046008*p^142*q^ 1928+89245402*p^140*q^1930+858614624*p^138*q^1932+7313450944*p^136*q^1934+ 54332509149*p^134*q^1936+255255331362*p^132*q^1938+485186130387*p^130*q^1940+ 331342662028*p^128*q^1942+94323437335*p^126*q^1944+12273091586*p^124*q^1946+ 560370953*p^122*q^1948+11425306*p^120*q^1950+137618*p^118*q^1952+770*p^116*q^ 1954+38730*p^147*q^1922+55228*p^145*q^1924+3682232*p^143*q^1926+24637988*p^141* q^1928+304340330*p^139*q^1930+2379734876*p^137*q^1932+19510266688*p^135*q^1934+ 124424759295*p^133*q^1936+398412540114*p^131*q^1938+464816881377*p^129*q^1940+ 205569888238*p^127*q^1942+41551865592*p^125*q^1944+3404756774*p^123*q^1946+ 101138711*p^121*q^1948+1481612*p^119*q^1950+13218*p^117*q^1952+3118*p^148*q^ 1920+19720*p^146*q^1922+292490*p^144*q^1924+11895588*p^142*q^1926+75278326*p^ 140*q^1928+796167470*p^138*q^1930+6639550166*p^136*q^1932+49914955126*p^134*q^ 1934+244162680121*p^132*q^1936+495990084172*p^130*q^1938+358996278506*p^128*q^ 1940+108005531586*p^126*q^1942+15130902917*p^124*q^1944+751313106*p^122*q^1946+ 16043643*p^120*q^1948+150852*p^118*q^1950+282*p^116*q^1952+56*p^149*q^1918+ 32136*p^147*q^1920+20566*p^145*q^1922+2751934*p^143*q^1924+26559882*p^141*q^ 1926+268704722*p^139*q^1928+2158033710*p^137*q^1930+17785832972*p^135*q^1932+ 116397606736*p^133*q^1934+392165283213*p^131*q^1936+490021393334*p^129*q^1938+ 227904713750*p^127*q^1940+48733572838*p^125*q^1942+4361880571*p^123*q^1944+ 139916704*p^121*q^1946+2136496*p^119*q^1948+24860*p^117*q^1950+104*p^115*q^1952 +212*p^148*q^1918+71808*p^146*q^1920+282972*p^144*q^1922+11166068*p^142*q^1924+ 65073454*p^140*q^1926+749043551*p^138*q^1928+6047259612*p^136*q^1930+ 45869838510*p^134*q^1932+233606077316*p^132*q^1934+502963475056*p^130*q^1936+ 388339178892*p^128*q^1938+122446403716*p^126*q^1940+18464128428*p^124*q^1942+ 1015421185*p^122*q^1944+22704650*p^120*q^1946+241972*p^118*q^1948+1508*p^116*q^ 1950+25298*p^147*q^1918+20760*p^145*q^1920+1839720*p^143*q^1922+26697456*p^141* q^1924+236987996*p^139*q^1926+1959562585*p^137*q^1928+16255707654*p^135*q^1930+ 108236653443*p^133*q^1932+385569539268*p^131*q^1934+511370092125*p^129*q^1936+ 253092781406*p^127*q^1938+56729412143*p^125*q^1940+5602450692*p^123*q^1942+ 195675681*p^121*q^1944+3373212*p^119*q^1946+34462*p^117*q^1948+956*p^148*q^1916 +93988*p^146*q^1918+182158*p^144*q^1920+9893256*p^142*q^1922+61274948*p^140*q^ 1924+687096376*p^138*q^1926+5485768149*p^136*q^1928+42039646858*p^134*q^1930+ 221785050687*p^132*q^1932+509906684488*p^130*q^1934+417510418468*p^128*q^1936+ 139126461870*p^126*q^1938+22308098628*p^124*q^1940+1352487398*p^122*q^1942+ 31252639*p^120*q^1944+328772*p^118*q^1946+2604*p^116*q^1948+6*p^114*q^1950+6160 *p^147*q^1916+76924*p^145*q^1918+1339692*p^143*q^1920+26394722*p^141*q^1922+ 200031596*p^139*q^1924+1801446358*p^137*q^1926+14798662331*p^135*q^1928+ 100727525062*p^133*q^1930+376768223036*p^131*q^1932+534736740320*p^129*q^1934+ 278728514876*p^127*q^1936+65796122972*p^125*q^1938+7058523290*p^123*q^1940+ 264789060*p^121*q^1942+4734058*p^119*q^1944+31350*p^117*q^1946+92*p^115*q^1948+ 104*p^148*q^1914+108420*p^146*q^1916+111736*p^144*q^1918+8047122*p^142*q^1920+ 59304608*p^140*q^1922+637831490*p^138*q^1924+4985875306*p^136*q^1926+ 38593377789*p^134*q^1928+211093767498*p^132*q^1930+512431905074*p^130*q^1932+ 448262851908*p^128*q^1934+156458888952*p^126*q^1936+26728904836*p^124*q^1938+ 1783075871*p^122*q^1940+45885292*p^120*q^1942+607023*p^118*q^1944+8792*p^116*q^ 1946+7384*p^147*q^1914+163096*p^145*q^1916+1057704*p^143*q^1918+25812616*p^141* q^1920+175871982*p^139*q^1922+1656554222*p^137*q^1924+13527828516*p^135*q^1926+ 93275749516*p^133*q^1928+367281385982*p^131*q^1930+553763080224*p^129*q^1932+ 307192725132*p^127*q^1934+75875119727*p^125*q^1936+8905499724*p^123*q^1938+ 371965069*p^121*q^1940+6634840*p^119*q^1942+44836*p^117*q^1944+92*p^115*q^1946+ 56700*p^146*q^1914+99188*p^144*q^1916+5970946*p^142*q^1918+56968135*p^140*q^ 1920+567329948*p^138*q^1922+4507419148*p^136*q^1924+35263037818*p^134*q^1926+ 199211587144*p^132*q^1928+515739386724*p^130*q^1930+478004555205*p^128*q^1932+ 176592226952*p^126*q^1934+31728493765*p^124*q^1936+2327983778*p^122*q^1938+ 61385998*p^120*q^1940+887070*p^118*q^1942+4569*p^116*q^1944+2848*p^147*q^1912+ 270016*p^145*q^1914+705396*p^143*q^1916+24331486*p^141*q^1918+157689286*p^139*q ^1920+1540674842*p^137*q^1922+12329776503*p^135*q^1924+86565413538*p^133*q^1926 +356274320129*p^131*q^1928+574147427030*p^129*q^1930+335814389588*p^127*q^1932+ 87147651502*p^125*q^1934+10989287156*p^123*q^1936+500304054*p^121*q^1938+ 9587777*p^119*q^1940+83614*p^117*q^1942+1454*p^115*q^1944+39360*p^146*q^1912+ 191004*p^144*q^1914+4760468*p^142*q^1916+56590666*p^140*q^1918+504218856*p^138* q^1920+4104708294*p^136*q^1922+32300349621*p^134*q^1924+188155532890*p^132*q^ 1926+514278910325*p^130*q^1928+509508149854*p^128*q^1930+197335829893*p^126*q^ 1932+37488887632*p^124*q^1934+3042835183*p^122*q^1936+89818334*p^120*q^1938+ 1355272*p^118*q^1940+5330*p^116*q^1942+352*p^147*q^1910+251688*p^145*q^1912+ 500768*p^143*q^1914+21003454*p^141*q^1916+142725312*p^139*q^1918+1424567326*p^ 137*q^1920+11247256066*p^135*q^1922+79887671364*p^133*q^1924+345116982076*p^131 *q^1926+589797856035*p^129*q^1928+367619167098*p^127*q^1930+99579660846*p^125*q ^1932+13550773340*p^123*q^1934+672750726*p^121*q^1936+13106306*p^119*q^1938+ 142933*p^117*q^1940+1260*p^115*q^1942+52*p^148*q^1908+29260*p^146*q^1910+410856 *p^144*q^1912+3517184*p^142*q^1914+56031796*p^140*q^1916+446600004*p^138*q^1918 +3741311246*p^136*q^1920+29534318410*p^134*q^1922+176676139910*p^132*q^1924+ 512738077358*p^130*q^1926+539194411535*p^128*q^1928+220941350346*p^126*q^1930+ 43903966648*p^124*q^1932+3915845484*p^122*q^1934+126572134*p^120*q^1936+1928742 *p^118*q^1938+8416*p^116*q^1940+104*p^114*q^1942+256*p^147*q^1908+171420*p^145* q^1910+359200*p^143*q^1912+17438304*p^141*q^1914+131264594*p^139*q^1916+ 1300745358*p^137*q^1918+10205297614*p^135*q^1920+73780727352*p^133*q^1922+ 332172140033*p^131*q^1924+606947793196*p^129*q^1926+399016863074*p^127*q^1928+ 113806144506*p^125*q^1930+16426499659*p^123*q^1932+896658926*p^121*q^1934+ 18422725*p^119*q^1936+223924*p^117*q^1938+448*p^115*q^1940+7244*p^146*q^1908+ 622684*p^144*q^1910+2725428*p^142*q^1912+54821932*p^140*q^1914+398767328*p^138* q^1916+3441780696*p^136*q^1918+27066698157*p^134*q^1920+166197046670*p^132*q^ 1922+507700463995*p^130*q^1924+570113252278*p^128*q^1926+245292453940*p^126*q^ 1928+51107442280*p^124*q^1930+4984399124*p^122*q^1932+174833648*p^120*q^1934+ 2646858*p^118*q^1936+19012*p^116*q^1938+325*p^114*q^1940+736*p^147*q^1906+ 161308*p^145*q^1908+550900*p^143*q^1910+14099594*p^141*q^1912+124756358*p^139*q ^1914+1184022542*p^137*q^1916+9302055166*p^135*q^1918+67894846463*p^133*q^1920+ 319265968024*p^131*q^1922+618183928150*p^129*q^1924+433449594038*p^127*q^1926+ 129032768389*p^125*q^1928+19927873310*p^123*q^1930+1209630545*p^121*q^1932+ 28497572*p^119*q^1934+409638*p^117*q^1936+620*p^115*q^1938+5040*p^146*q^1906+ 547008*p^144*q^1908+1772222*p^142*q^1910+50266756*p^140*q^1912+354355744*p^138* q^1914+3154042866*p^136*q^1916+24700091248*p^134*q^1918+155164581486*p^132*q^ 1920+502585313070*p^130*q^1922+598880728581*p^128*q^1924+273083762882*p^126*q^ 1926+59289297460*p^124*q^1928+6287491578*p^122*q^1930+234546660*p^120*q^1932+ 3279416*p^118*q^1934+25754*p^116*q^1936+20*p^114*q^1938+100*p^147*q^1904+71624* p^145*q^1906+973264*p^143*q^1908+11410750*p^141*q^1910+120456800*p^139*q^1912+ 1065850202*p^137*q^1914+8455239546*p^135*q^1916+62557394486*p^133*q^1918+ 305381795342*p^131*q^1920+630817005442*p^129*q^1922+467192006746*p^127*q^1924+ 146271124316*p^125*q^1926+23687009167*p^123*q^1928+1583029638*p^121*q^1930+ 40613665*p^119*q^1932+520420*p^117*q^1934+1944*p^115*q^1936+48*p^113*q^1938+ 4790*p^146*q^1904+570048*p^144*q^1906+1532414*p^142*q^1908+44683696*p^140*q^ 1910+320025004*p^138*q^1912+2916261360*p^136*q^1914+22583633063*p^134*q^1916+ 145257463628*p^132*q^1918+493482544608*p^130*q^1920+628668029690*p^128*q^1922+ 300957307008*p^126*q^1924+68518140846*p^124*q^1926+7869298987*p^122*q^1928+ 325685172*p^120*q^1930+5440661*p^118*q^1932+73572*p^116*q^1934+24*p^114*q^1936+ 47392*p^145*q^1904+1181238*p^143*q^1906+8632870*p^141*q^1908+118240278*p^139*q^ 1910+962323133*p^137*q^1912+7707085028*p^135*q^1914+57486448392*p^133*q^1916+ 291580536098*p^131*q^1918+637659931440*p^129*q^1920+503799146664*p^127*q^1922+ 164927072310*p^125*q^1924+28227171864*p^123*q^1926+2079331786*p^121*q^1928+ 57149766*p^119*q^1930+575954*p^117*q^1932+2236*p^115*q^1934+2840*p^146*q^1902+ 397910*p^144*q^1904+1657030*p^142*q^1906+38201876*p^140*q^1908+288956736*p^138* q^1910+2656391614*p^136*q^1912+20618759050*p^134*q^1914+134948428602*p^132*q^ 1916+484752004354*p^130*q^1918+654968855490*p^128*q^1920+332818957892*p^126*q^ 1922+78730000116*p^124*q^1924+9738833992*p^122*q^1926+441255338*p^120*q^1928+ 8065774*p^118*q^1930+108806*p^116*q^1932+160*p^114*q^1934+3*p^112*q^1936+27914* p^145*q^1902+1380316*p^143*q^1904+6492078*p^141*q^1906+112309402*p^139*q^1908+ 864751464*p^137*q^1910+7054192854*p^135*q^1912+52818451578*p^133*q^1914+ 277231285151*p^131*q^1916+645617031594*p^129*q^1918+539222099657*p^127*q^1920+ 185812637772*p^125*q^1922+33099491709*p^123*q^1924+2686610502*p^121*q^1926+ 77278983*p^119*q^1928+854128*p^117*q^1930+7568*p^115*q^1932+392*p^146*q^1900+ 271620*p^144*q^1902+2007962*p^142*q^1904+32408360*p^140*q^1906+270735336*p^138* q^1908+2434881504*p^136*q^1910+18800097987*p^134*q^1912+125784990240*p^132*q^ 1914+472435881016*p^130*q^1916+682186294408*p^128*q^1918+364408367285*p^126*q^ 1920+90341051444*p^124*q^1922+11931832157*p^122*q^1924+598314312*p^120*q^1926+ 12777530*p^118*q^1928+109380*p^116*q^1930+132*p^114*q^1932+25596*p^145*q^1900+ 1342988*p^143*q^1902+5626284*p^141*q^1904+103964740*p^139*q^1906+775643790*p^ 137*q^1908+6462376070*p^135*q^1910+48471374482*p^133*q^1912+263100321586*p^131* q^1914+647552954155*p^129*q^1916+577456743482*p^127*q^1918+208137190826*p^125*q ^1920+38899499958*p^123*q^1922+3456611829*p^121*q^1924+109969242*p^119*q^1926+ 1336898*p^117*q^1928+22720*p^115*q^1930+8*p^113*q^1932+184*p^146*q^1898+178666* p^144*q^1900+2504612*p^142*q^1902+25367354*p^140*q^1904+256872884*p^138*q^1906+ 2214716424*p^136*q^1908+17138302968*p^134*q^1910+116469735411*p^132*q^1912+ 460413037516*p^130*q^1914+705150966362*p^128*q^1916+400166297018*p^126*q^1918+ 103095232389*p^124*q^1920+14504153508*p^122*q^1922+799399549*p^120*q^1924+ 16988186*p^118*q^1926+122327*p^116*q^1928+256*p^114*q^1930+48*p^147*q^1896+9530 *p^145*q^1898+1054538*p^143*q^1900+4707726*p^141*q^1902+94749768*p^139*q^1904+ 693638558*p^137*q^1906+5908115351*p^135*q^1908+44480545740*p^133*q^1910+ 248588596775*p^131*q^1912+650444434536*p^129*q^1914+613675629929*p^127*q^1916+ 233155434020*p^125*q^1918+45215164047*p^123*q^1920+4375983344*p^121*q^1922+ 151089678*p^119*q^1924+2335004*p^117*q^1926+20238*p^115*q^1928+133860*p^144*q^ 1898+3021514*p^142*q^1900+21580388*p^140*q^1902+243118604*p^138*q^1904+ 2020865580*p^136*q^1906+15666169951*p^134*q^1908+108118888682*p^132*q^1910+ 445900434785*p^130*q^1912+728868275200*p^128*q^1914+435191130819*p^126*q^1916+ 117572553888*p^124*q^1918+17361177983*p^122*q^1920+1064971020*p^120*q^1922+ 24428764*p^118*q^1924+189132*p^116*q^1926+3396*p^114*q^1928+4016*p^145*q^1896+ 873594*p^143*q^1898+4834484*p^141*q^1900+81997236*p^139*q^1902+634029484*p^137* q^1904+5413016600*p^135*q^1906+40717175863*p^133*q^1908+234624475338*p^131*q^ 1910+647130055337*p^129*q^1912+652091606100*p^127*q^1914+259490383865*p^125*q^ 1916+52559249032*p^123*q^1918+5556649815*p^121*q^1920+210673386*p^119*q^1922+ 3597152*p^117*q^1924+21464*p^115*q^1926+680*p^146*q^1894+94896*p^144*q^1896+ 2841798*p^142*q^1898+17239348*p^140*q^1900+231142738*p^138*q^1902+1818632986*p^ 136*q^1904+14308909300*p^134*q^1906+99783733495*p^132*q^1908+431414379740*p^130 *q^1910+747810607392*p^128*q^1912+474933976024*p^126*q^1914+133337822282*p^124* q^1916+20806573270*p^122*q^1918+1388881350*p^120*q^1920+34180678*p^118*q^1922+ 309106*p^116*q^1924+3668*p^114*q^1926+886*p^145*q^1894+575004*p^143*q^1896+ 5647198*p^141*q^1898+70146642*p^139*q^1900+578291214*p^137*q^1902+4960271320*p^ 135*q^1904+37273012602*p^133*q^1906+220453347716*p^131*q^1908+645067495088*p^ 129*q^1910+688098365971*p^127*q^1912+288794429290*p^125*q^1914+60582060888*p^ 123*q^1916+6870191940*p^121*q^1918+286860548*p^119*q^1920+4774450*p^117*q^1922+ 24361*p^115*q^1924+232*p^113*q^1926+88*p^146*q^1892+44836*p^144*q^1894+2833956* p^142*q^1896+14351164*p^140*q^1898+215691068*p^138*q^1900+1652417306*p^136*q^ 1902+13071870626*p^134*q^1904+92448416506*p^132*q^1906+414841671817*p^130*q^ 1908+766962935484*p^128*q^1910+513135292590*p^126*q^1912+151212435510*p^124*q^ 1914+24520672503*p^122*q^1916+1828180636*p^120*q^1918+49486468*p^118*q^1920+ 672790*p^116*q^1922+3988*p^114*q^1924+4260*p^145*q^1892+520992*p^143*q^1894+ 5911516*p^141*q^1896+60641344*p^139*q^1898+538416896*p^137*q^1900+4536517730*p^ 135*q^1902+34140308603*p^133*q^1904+206948732538*p^131*q^1906+636722658013*p^ 129*q^1908+725906154946*p^127*q^1910+319374231173*p^125*q^1912+69960877430*p^ 123*q^1914+8516887593*p^121*q^1916+391787808*p^119*q^1918+7113962*p^117*q^1920+ 28842*p^115*q^1922+692*p^113*q^1924+19044*p^144*q^1892+2149508*p^142*q^1894+ 13294758*p^140*q^1896+193654068*p^138*q^1898+1484329982*p^136*q^1900+ 11944301430*p^134*q^1902+84986394514*p^132*q^1904+398709663842*p^130*q^1906+ 780781486522*p^128*q^1908+556122638814*p^126*q^1910+170593014491*p^124*q^1912+ 28938273320*p^122*q^1914+2352347215*p^120*q^1916+68159334*p^118*q^1918+833952*p ^116*q^1920+3556*p^114*q^1922+2434*p^145*q^1890+328996*p^143*q^1892+6423872*p^ 141*q^1894+49956842*p^139*q^1896+507999094*p^137*q^1898+4139184752*p^135*q^1900 +31263961078*p^133*q^1902+193700899196*p^131*q^1904+630095073542*p^129*q^1906+ 759929709645*p^127*q^1908+353448068574*p^125*q^1910+80027110102*p^123*q^1912+ 10359156722*p^121*q^1914+521278188*p^119*q^1916+10284440*p^117*q^1918+92770*p^ 115*q^1920+444*p^113*q^1922+18456*p^144*q^1890+1919992*p^142*q^1892+12970756*p^ 140*q^1894+175338580*p^138*q^1896+1344774732*p^136*q^1898+10949885236*p^134*q^ 1900+78435900166*p^132*q^1902+380835350183*p^130*q^1904+794376176414*p^128*q^ 1906+597101280055*p^126*q^1908+192190114642*p^124*q^1910+33797457656*p^122*q^ 1912+3029589142*p^120*q^1914+97999654*p^118*q^1916+1348574*p^116*q^1918+2540*p^ 114*q^1920+96*p^112*q^1922+216*p^145*q^1888+184220*p^143*q^1890+6102368*p^141*q ^1892+42391274*p^139*q^1894+471658868*p^137*q^1896+3777933330*p^135*q^1898+ 28543986294*p^133*q^1900+181059034510*p^131*q^1902+617649235629*p^129*q^1904+ 796450564934*p^127*q^1906+388210885156*p^125*q^1908+91963564626*p^123*q^1910+ 12529437904*p^121*q^1912+698835924*p^119*q^1914+14680320*p^117*q^1916+133138*p^ 115*q^1918+696*p^113*q^1920+4*p^146*q^1886+23429*p^144*q^1888+1592030*p^142*q^ 1890+13043316*p^140*q^1892+154021074*p^138*q^1894+1230666248*p^136*q^1896+ 10005330930*p^134*q^1898+72120629592*p^132*q^1900+363520797622*p^130*q^1902+ 802208298967*p^128*q^1904+642212093684*p^126*q^1906+215562059303*p^124*q^1908+ 39400921970*p^122*q^1910+3835465010*p^120*q^1912+134554678*p^118*q^1914+1897000 *p^116*q^1916+7444*p^114*q^1918+16*p^112*q^1920+180*p^145*q^1886+99708*p^143*q^ 1888+5423450*p^141*q^1890+36738858*p^139*q^1892+437961748*p^137*q^1894+ 3415268016*p^135*q^1896+26155064952*p^133*q^1898+168452699754*p^131*q^1900+ 606305061156*p^129*q^1902+828043111112*p^127*q^1904+427437759586*p^125*q^1906+ 104673417273*p^123*q^1908+15036377796*p^121*q^1910+923952256*p^119*q^1912+ 20858866*p^117*q^1914+217060*p^115*q^1916+260*p^113*q^1918+6*p^111*q^1920+5628* p^144*q^1886+1094440*p^142*q^1888+13558550*p^140*q^1890+134290738*p^138*q^1892+ 1131846966*p^136*q^1894+9190934697*p^134*q^1896+66408226278*p^132*q^1898+ 345568111405*p^130*q^1900+810413429772*p^128*q^1902+684823287175*p^126*q^1904+ 241429562602*p^124*q^1906+45574537496*p^122*q^1908+4791669018*p^120*q^1910+ 183026240*p^118*q^1912+2902324*p^116*q^1914+18694*p^114*q^1916+112*p^112*q^1918 +124*p^145*q^1884+128568*p^143*q^1886+5269000*p^141*q^1888+33488546*p^139*q^ 1890+402821584*p^137*q^1892+3110730324*p^135*q^1894+23902128711*p^133*q^1896+ 156903010236*p^131*q^1898+589797544643*p^129*q^1900+860182833336*p^127*q^1902+ 466656035909*p^125*q^1904+119519803340*p^123*q^1906+17895568646*p^121*q^1908+ 1234411862*p^119*q^1910+31944406*p^117*q^1912+324632*p^115*q^1914+248*p^113*q^ 1916+44*p^146*q^1882+4076*p^144*q^1884+653618*p^142*q^1886+12575292*p^140*q^ 1888+114425164*p^138*q^1890+1040701046*p^136*q^1892+8375560528*p^134*q^1894+ 60867109938*p^132*q^1896+327803795670*p^130*q^1898+812219373335*p^128*q^1900+ 732402699314*p^126*q^1902+269192430348*p^124*q^1904+52863585400*p^122*q^1906+ 5949111730*p^120*q^1908+245491090*p^118*q^1910+3826516*p^116*q^1912+25960*p^114 *q^1914+16*p^112*q^1916+8*p^145*q^1882+63776*p^143*q^1884+4372882*p^141*q^1886+ 31518300*p^139*q^1888+367092414*p^137*q^1890+2823814006*p^135*q^1892+ 21908188594*p^133*q^1894+145601760874*p^131*q^1896+575065613102*p^129*q^1898+ 887951404828*p^127*q^1900+509967835018*p^125*q^1902+135326753493*p^123*q^1904+ 21089393790*p^121*q^1906+1584665803*p^119*q^1908+43428124*p^117*q^1910+495250*p ^115*q^1912+1932*p^113*q^1914+8*p^111*q^1916+1852*p^144*q^1882+556016*p^142*q^ 1884+13044754*p^140*q^1886+100204502*p^138*q^1888+970232912*p^136*q^1890+ 7666067799*p^134*q^1892+56011412948*p^132*q^1894+309635963031*p^130*q^1896+ 814112604988*p^128*q^1898+775352446413*p^126*q^1900+300127920676*p^124*q^1902+ 60765708910*p^122*q^1904+7323981834*p^120*q^1906+343297226*p^118*q^1908+6435010 *p^116*q^1910+53138*p^114*q^1912+4*p^112*q^1914+628*p^145*q^1880+41764*p^143*q^ 1882+3286300*p^141*q^1884+28670062*p^139*q^1886+328173098*p^137*q^1888+ 2566143596*p^135*q^1890+20039116880*p^133*q^1892+135012084616*p^131*q^1894+ 555634126355*p^129*q^1896+915986537984*p^127*q^1898+553617477996*p^125*q^1900+ 153616429072*p^123*q^1902+24770673243*p^121*q^1904+2054626392*p^119*q^1906+ 59280850*p^117*q^1908+691264*p^115*q^1910+1896*p^113*q^1912+770*p^144*q^1880+ 423828*p^142*q^1882+12347200*p^140*q^1884+89685434*p^138*q^1886+892132748*p^136 *q^1888+6994759120*p^134*q^1890+51286997683*p^132*q^1892+292316639904*p^130*q^ 1894+809595779822*p^128*q^1896+823122055344*p^126*q^1898+332569433685*p^124*q^ 1900+70043919568*p^122*q^1902+8896106584*p^120*q^1904+457102396*p^118*q^1906+ 9437274*p^116*q^1908+66582*p^114*q^1910+100*p^112*q^1912+88*p^145*q^1878+22412* p^143*q^1880+2339374*p^141*q^1882+28168610*p^139*q^1884+287995100*p^137*q^1886+ 2348330892*p^135*q^1888+18349739952*p^133*q^1890+124839149641*p^131*q^1892+ 537860444466*p^129*q^1894+938150680644*p^127*q^1896+601633154614*p^125*q^1898+ 173012913217*p^123*q^1900+28953130808*p^121*q^1902+2602531639*p^119*q^1904+ 82754218*p^117*q^1906+1000742*p^115*q^1908+7384*p^113*q^1910+3848*p^144*q^1878+ 274808*p^142*q^1880+11295782*p^140*q^1882+78589234*p^138*q^1884+832578714*p^136 *q^1886+6374363466*p^134*q^1888+47145364924*p^132*q^1890+274807971538*p^130*q^ 1892+805575731884*p^128*q^1894+865669857265*p^126*q^1896+368605184716*p^124*q^ 1898+80111007382*p^122*q^1900+10711882926*p^120*q^1902+614380676*p^118*q^1904+ 13365460*p^116*q^1906+126714*p^114*q^1908+68*p^112*q^1910+12102*p^143*q^1878+ 1997615*p^141*q^1880+28032788*p^139*q^1882+258342678*p^137*q^1884+2146604450*p^ 135*q^1886+16808430600*p^133*q^1888+115533991122*p^131*q^1890+516292202559*p^ 129*q^1892+960593984600*p^127*q^1894+648720640833*p^125*q^1896+195373194170*p^ 123*q^1898+33682315298*p^121*q^1900+3311813518*p^119*q^1902+116554362*p^117*q^ 1904+1776448*p^115*q^1906+7506*p^113*q^1908+2184*p^144*q^1876+193192*p^142*q^ 1878+8857003*p^140*q^1880+69247670*p^138*q^1882+750259630*p^136*q^1884+ 5806865698*p^134*q^1886+43113018238*p^132*q^1888+257851490796*p^130*q^1890+ 795113882277*p^128*q^1892+912457315536*p^126*q^1894+406217621921*p^124*q^1896+ 91861421314*p^122*q^1898+12774106034*p^120*q^1900+807164222*p^118*q^1902+ 18117092*p^116*q^1904+135120*p^114*q^1906+640*p^112*q^1908+17096*p^143*q^1876+ 1393608*p^141*q^1878+27904556*p^139*q^1880+229880990*p^137*q^1882+1983897886*p^ 135*q^1884+15369664206*p^133*q^1886+106602840480*p^131*q^1888+496613909512*p^ 129*q^1890+976562171099*p^127*q^1892+700697107788*p^125*q^1894+218943907661*p^ 123*q^1896+39061083334*p^121*q^1898+4114390987*p^119*q^1900+159191034*p^117*q^ 1902+2652986*p^115*q^1904+18170*p^113*q^1906+208*p^144*q^1874+105498*p^142*q^ 1876+7462806*p^140*q^1878+64866490*p^138*q^1880+682374278*p^136*q^1882+ 5287224258*p^134*q^1884+39657766384*p^132*q^1886+241291189450*p^130*q^1888+ 785130383658*p^128*q^1890+952887313175*p^126*q^1892+447825370578*p^124*q^1894+ 104492154109*p^122*q^1896+15169884280*p^120*q^1898+1057923578*p^118*q^1900+ 26394612*p^116*q^1902+255036*p^114*q^1904+988*p^112*q^1906+18780*p^143*q^1874+ 1132994*p^141*q^1876+26112448*p^139*q^1878+200436526*p^137*q^1880+1834513674*p^ 135*q^1882+14079411176*p^133*q^1884+98307535284*p^131*q^1886+474011703393*p^129 *q^1888+992311291434*p^127*q^1890+750760927342*p^125*q^1892+245858676934*p^123* q^1894+45173713877*p^121*q^1896+5096288684*p^119*q^1898+221219178*p^117*q^1900+ 3900690*p^115*q^1902+23424*p^113*q^1904+20*p^111*q^1906+160*p^144*q^1872+96220* p^142*q^1874+5822126*p^140*q^1876+61206382*p^138*q^1878+619109186*p^136*q^1880+ 4807609556*p^134*q^1882+36220865528*p^132*q^1884+225628524906*p^130*q^1886+ 769106345903*p^128*q^1888+996970400206*p^126*q^1890+490651962196*p^124*q^1892+ 119266863794*p^122*q^1894+17859071631*p^120*q^1896+1375421958*p^118*q^1898+ 36422694*p^116*q^1900+413180*p^114*q^1902+1510*p^112*q^1904+5504*p^143*q^1872+ 684870*p^141*q^1874+22747981*p^139*q^1876+176831650*p^137*q^1878+1669945154*p^ 135*q^1880+12871183990*p^133*q^1882+90555489705*p^131*q^1884+452731280792*p^129 *q^1886+1001766987834*p^127*q^1888+805915172196*p^125*q^1890+274102857876*p^123 *q^1892+52115819590*p^121*q^1894+6189221211*p^119*q^1896+293360618*p^117*q^1898 +5291896*p^115*q^1900+23830*p^113*q^1902+128*p^111*q^1904+94339*p^142*q^1872+ 4868346*p^140*q^1874+61210707*p^138*q^1876+559012534*p^136*q^1878+4430950350*p^ 134*q^1880+33295168754*p^132*q^1882+210227625023*p^130*q^1884+754586870198*p^ 128*q^1886+1033750672726*p^126*q^1888+537595038090*p^124*q^1890+134937194243*p^ 122*q^1892+20922999214*p^120*q^1894+1770828669*p^118*q^1896+53160528*p^116*q^ 1898+793192*p^114*q^1900+4190*p^112*q^1902+3404*p^143*q^1870+572262*p^141*q^ 1872+19782542*p^139*q^1874+155937184*p^137*q^1876+1541252092*p^135*q^1878+ 11721654852*p^133*q^1880+83438715602*p^131*q^1882+429379489985*p^129*q^1884+ 1009726695706*p^127*q^1886+857927323241*p^125*q^1888+306473348924*p^123*q^1890+ 59969413173*p^121*q^1892+7552012946*p^119*q^1894+399299929*p^117*q^1896+7718058 *p^115*q^1898+46460*p^113*q^1900+50*p^111*q^1902+4*p^144*q^1868+57624*p^142*q^ 1870+3500684*p^140*q^1872+57416844*p^138*q^1874+496612564*p^136*q^1876+ 4033805830*p^134*q^1878+30481516529*p^132*q^1880+195675015856*p^130*q^1882+ 734136934513*p^128*q^1884+1074332640040*p^126*q^1886+585972246432*p^124*q^1888+ 153133332900*p^122*q^1890+24382776393*p^120*q^1892+2232778340*p^118*q^1894+ 72128392*p^116*q^1896+978032*p^114*q^1898+1416*p^112*q^1900+8*p^110*q^1902+44*p ^145*q^1866+680*p^143*q^1868+441488*p^141*q^1870+16695764*p^139*q^1872+ 143655924*p^137*q^1874+1408285172*p^135*q^1876+10737548410*p^133*q^1878+ 76629823656*p^131*q^1880+408197732174*p^129*q^1882+1011028277288*p^127*q^1884+ 914615965826*p^125*q^1886+339680340959*p^123*q^1888+68886568178*p^121*q^1890+ 8999416781*p^119*q^1892+530282774*p^117*q^1894+11217808*p^115*q^1896+123218*p^ 113*q^1898+476*p^111*q^1900+8*p^144*q^1866+35040*p^142*q^1868+2740774*p^140*q^ 1870+53907870*p^138*q^1872+441259436*p^136*q^1874+3707393741*p^134*q^1876+ 27936221408*p^132*q^1878+181859909011*p^130*q^1880+714650980994*p^128*q^1882+ 1106141253401*p^126*q^1884+638643736766*p^124*q^1886+172624396497*p^122*q^1888+ 28400385026*p^120*q^1890+2811602543*p^118*q^1892+101608300*p^116*q^1894+1489582 *p^114*q^1896+3556*p^112*q^1898+272*p^143*q^1866+345758*p^141*q^1868+13942378*p ^139*q^1870+134675831*p^137*q^1872+1290133486*p^135*q^1874+9791328803*p^133*q^ 1876+70593722210*p^131*q^1878+385027201175*p^129*q^1880+1012677869050*p^127*q^ 1882+966934599431*p^125*q^1884+377679090566*p^123*q^1886+78792503735*p^121*q^ 1888+10742021020*p^119*q^1890+701400148*p^117*q^1892+15926176*p^115*q^1894+ 182284*p^113*q^1896+92*p^111*q^1898+700*p^144*q^1864+16668*p^142*q^1866+2222738 *p^140*q^1868+48039886*p^138*q^1870+388151063*p^136*q^1872+3396095886*p^134*q^ 1874+25563270641*p^132*q^1876+168640209256*p^130*q^1878+690735316628*p^128*q^ 1880+1140379860964*p^126*q^1882+691807540588*p^124*q^1884+195018071016*p^122*q^ 1886+32895183933*p^120*q^1888+3499167680*p^118*q^1890+138836309*p^116*q^1892+ 2246158*p^114*q^1894+11668*p^112*q^1896+24*p^110*q^1898+260*p^143*q^1864+242696 *p^141*q^1866+10739922*p^139*q^1868+127584558*p^137*q^1870+1167150932*p^135*q^ 1872+8947882582*p^133*q^1874+64749076943*p^131*q^1876+363769519256*p^129*q^1878 +1006637000522*p^127*q^1880+1024716384884*p^125*q^1882+416691160215*p^123*q^ 1884+90084992080*p^121*q^1886+12651165153*p^119*q^1888+906643582*p^117*q^1890+ 22360710*p^115*q^1892+227226*p^113*q^1894+134*p^111*q^1896+104*p^144*q^1862+ 4696*p^142*q^1864+1610308*p^140*q^1866+43566104*p^138*q^1868+347595980*p^136*q^ 1870+3127128824*p^134*q^1872+23451947094*p^132*q^1874+156266535171*p^130*q^1876 +668251639586*p^128*q^1878+1165867136705*p^126*q^1880+749583647630*p^124*q^1882 +218570032947*p^122*q^1884+38078946448*p^120*q^1886+4279992606*p^118*q^1888+ 191405708*p^116*q^1890+3237002*p^114*q^1892+31074*p^112*q^1894+6*p^110*q^1896+ 4632*p^143*q^1862+170264*p^141*q^1864+9499778*p^139*q^1866+119879358*p^137*q^ 1868+1054442750*p^135*q^1870+8183130468*p^133*q^1872+59548097172*p^131*q^1874+ 341644766686*p^129*q^1876+999838952972*p^127*q^1878+1076210013889*p^125*q^1880+ 460875469920*p^123*q^1882+102629087859*p^121*q^1884+14924410716*p^119*q^1886+ 1185267286*p^117*q^1888+32618696*p^115*q^1890+447194*p^113*q^1892+580*p^111*q^ 1894+12*p^144*q^1860+4772*p^142*q^1862+1280450*p^140*q^1864+35714224*p^138*q^ 1866+312762050*p^136*q^1868+2867253010*p^134*q^1870+21401115947*p^132*q^1872+ 144574392900*p^130*q^1874+641411434910*p^128*q^1876+1193480017862*p^126*q^1878+ 807143686410*p^124*q^1880+245882166796*p^122*q^1882+43902285692*p^120*q^1884+ 5212667608*p^118*q^1886+255105280*p^116*q^1888+4260200*p^114*q^1890+24382*p^112 *q^1892+2*p^110*q^1894+2532*p^143*q^1860+65284*p^141*q^1862+6992591*p^139*q^ 1864+112755124*p^137*q^1866+941788205*p^135*q^1868+7480189474*p^133*q^1870+ 54637767248*p^131*q^1872+321281794038*p^129*q^1874+987289305930*p^127*q^1876+ 1132346233326*p^125*q^1878+506005210018*p^123*q^1880+116774798258*p^121*q^1882+ 17362749581*p^119*q^1884+1498370078*p^117*q^1886+45310284*p^115*q^1888+638624*p ^113*q^1890+3528*p^111*q^1892+17240*p^142*q^1860+1031374*p^140*q^1862+32036287* p^138*q^1864+290257432*p^136*q^1866+2629307598*p^134*q^1868+19645277466*p^132*q ^1870+133621309834*p^130*q^1872+616605565096*p^128*q^1874+1210943547745*p^126*q ^1876+869210963470*p^124*q^1878+274257977105*p^122*q^1880+50590313320*p^120*q^ 1882+6278697903*p^118*q^1884+346591316*p^116*q^1886+6725580*p^114*q^1888+74512* p^112*q^1890+16*p^110*q^1892+436*p^143*q^1858+50920*p^141*q^1860+5628868*p^139* q^1862+100945836*p^137*q^1864+838475104*p^135*q^1866+6863322396*p^133*q^1868+ 50156447036*p^131*q^1870+300243206601*p^129*q^1872+973794607702*p^127*q^1874+ 1181312453664*p^125*q^1876+556890641556*p^123*q^1878+132404870622*p^121*q^1880+ 20328926934*p^119*q^1882+1899491200*p^117*q^1884+63929636*p^115*q^1886+808210*p ^113*q^1888+2212*p^111*q^1890+4*p^144*q^1856+22424*p^142*q^1858+607176*p^140*q^ 1860+26568560*p^138*q^1862+269211338*p^136*q^1864+2403278086*p^134*q^1866+ 17905752313*p^132*q^1868+123367184892*p^130*q^1870+588473927997*p^128*q^1872+ 1230602170080*p^126*q^1874+930505543600*p^124*q^1876+306887174094*p^122*q^1878+ 58067414779*p^120*q^1880+7494303400*p^118*q^1882+456044414*p^116*q^1884+9370598 *p^114*q^1886+122358*p^112*q^1888+170*p^110*q^1890+192*p^143*q^1856+54292*p^141 *q^1858+4609442*p^139*q^1860+90253682*p^137*q^1862+749907659*p^135*q^1864+ 6295036222*p^133*q^1866+46015850647*p^131*q^1868+281248284306*p^129*q^1870+ 954102635908*p^127*q^1872+1234512444016*p^125*q^1874+607928878679*p^123*q^1876+ 150128517024*p^121*q^1878+23513215404*p^119*q^1880+2362503422*p^117*q^1882+ 87917602*p^115*q^1884+1142844*p^113*q^1886+7946*p^111*q^1888+8*p^144*q^1854+ 7764*p^142*q^1856+383476*p^140*q^1858+21485380*p^138*q^1860+252547456*p^136*q^ 1862+2180980830*p^134*q^1864+16414487950*p^132*q^1866+113721087695*p^130*q^1868 +562123716648*p^128*q^1870+1239843271175*p^126*q^1872+996253084104*p^124*q^1874 +340935967762*p^122*q^1876+66610377880*p^120*q^1878+8867440537*p^118*q^1880+ 600829408*p^116*q^1882+14145370*p^114*q^1884+173852*p^112*q^1886+240*p^110*q^ 1888+72*p^143*q^1854+103772*p^141*q^1856+3566310*p^139*q^1858+82005955*p^137*q^ 1860+678921920*p^135*q^1862+5778626901*p^133*q^1864+42248625892*p^131*q^1866+ 262010130499*p^129*q^1868+934885083978*p^127*q^1870+1278578847053*p^125*q^1872+ 665332506134*p^123*q^1874+169321737421*p^121*q^1876+27352583956*p^119*q^1878+ 2929202246*p^117*q^1880+121770350*p^115*q^1882+1734954*p^113*q^1884+20200*p^111 *q^1886+4340*p^142*q^1854+280802*p^140*q^1856+17709170*p^138*q^1858+228527434*p ^136*q^1860+1963021930*p^134*q^1862+14989522481*p^132*q^1864+104810325342*p^130 *q^1866+533197419376*p^128*q^1868+1250400565130*p^126*q^1870+1059643473026*p^ 124*q^1872+379968102886*p^122*q^1874+76134270239*p^120*q^1876+10468930148*p^118 *q^1878+775650440*p^116*q^1880+19848702*p^114*q^1882+189474*p^112*q^1884+382*p^ 110*q^1886+172*p^143*q^1852+70260*p^141*q^1854+2350756*p^139*q^1856+69851428*p^ 137*q^1858+619902802*p^135*q^1860+5309217440*p^133*q^1862+38680220860*p^131*q^ 1864+244334767348*p^129*q^1866+910062400418*p^127*q^1868+1327223017254*p^125*q^ 1870+722818428650*p^123*q^1872+190992155900*p^121*q^1874+31520331552*p^119*q^ 1876+3559686016*p^117*q^1878+163472900*p^115*q^1880+2593094*p^113*q^1882+33044* p^111*q^1884+16*p^109*q^1886+1136*p^142*q^1852+335448*p^140*q^1854+14839626*p^ 138*q^1856+214067800*p^136*q^1858+1771255916*p^134*q^1860+13763600574*p^132*q^ 1862+96558006842*p^130*q^1864+506756342810*p^128*q^1866+1250402364814*p^126*q^ 1868+1127495413684*p^124*q^1870+419801047677*p^122*q^1872+87055704382*p^120*q^ 1874+12221392156*p^118*q^1876+1000316708*p^116*q^1878+28843988*p^114*q^1880+ 278660*p^112*q^1882+2404*p^110*q^1884+20*p^143*q^1850+45048*p^141*q^1852+ 1731550*p^139*q^1854+60245437*p^137*q^1856+565497742*p^135*q^1858+4856898299*p^ 133*q^1860+35452284982*p^131*q^1862+226890801030*p^129*q^1864+885008909108*p^ 127*q^1866+1365299953168*p^125*q^1868+786794161740*p^123*q^1870+214678881630*p^ 121*q^1872+36473779202*p^119*q^1874+4324880728*p^117*q^1876+223891180*p^115*q^ 1878+4011002*p^113*q^1880+48126*p^111*q^1882+4*p^109*q^1884+36*p^144*q^1848+ 1860*p^142*q^1850+368934*p^140*q^1852+11422878*p^138*q^1854+192466972*p^136*q^ 1856+1597108938*p^134*q^1858+12577401730*p^132*q^1860+88881403310*p^130*q^1862+ 478169797681*p^128*q^1864+1252004602340*p^126*q^1866+1191400624767*p^124*q^1868 +465702444962*p^122*q^1870+98994772671*p^120*q^1872+14299992014*p^118*q^1874+ 1263824444*p^116*q^1876+38858932*p^114*q^1878+388364*p^112*q^1880+3764*p^110*q^ 1882+8*p^143*q^1848+18232*p^141*q^1850+1259852*p^139*q^1852+50413258*p^137*q^ 1854+521036891*p^135*q^1856+4423648744*p^133*q^1858+32475665182*p^131*q^1860+ 210892741258*p^129*q^1862+856065722652*p^127*q^1864+1406818992692*p^125*q^1866+ 850197148957*p^123*q^1868+241249381164*p^121*q^1870+41912123986*p^119*q^1872+ 5163299020*p^117*q^1874+293690720*p^115*q^1876+6024150*p^113*q^1878+39696*p^111 *q^1880+148*p^109*q^1882+748*p^142*q^1848+287784*p^140*q^1850+8742814*p^138*q^ 1852+175284220*p^136*q^1854+1440346328*p^134*q^1856+11590520534*p^132*q^1858+ 81726745302*p^130*q^1860+452213161324*p^128*q^1862+1243486671552*p^126*q^1864+ 1259539029628*p^124*q^1866+512125052601*p^122*q^1868+112613058500*p^120*q^1870+ 16575458798*p^118*q^1872+1587156478*p^116*q^1874+56165066*p^114*q^1876+666530*p ^112*q^1878+13190*p^110*q^1880+512*p^143*q^1846+13800*p^141*q^1848+1403852*p^ 139*q^1850+43300050*p^137*q^1852+480854250*p^135*q^1854+4035749436*p^133*q^1856 +29747055386*p^131*q^1858+195257138783*p^129*q^1860+827007542158*p^127*q^1862+ 1436632451481*p^125*q^1864+920248568296*p^123*q^1866+269863333096*p^121*q^1868+ 48363338318*p^119*q^1870+6160891744*p^117*q^1872+393680008*p^115*q^1874+8602558 *p^113*q^1876+50812*p^111*q^1878+160*p^109*q^1880+4*p^144*q^1844+188*p^142*q^ 1846+178920*p^140*q^1848+6190496*p^138*q^1850+150964735*p^136*q^1852+1300200398 *p^134*q^1854+10571025618*p^132*q^1856+75122094544*p^130*q^1858+424566399101*p^ 128*q^1860+1236085544860*p^126*q^1862+1323113877842*p^124*q^1864+565375249246*p ^122*q^1866+127577597399*p^120*q^1868+19282174400*p^118*q^1870+1962279900*p^116 *q^1872+75171278*p^114*q^1874+1062830*p^112*q^1876+8610*p^110*q^1878+64*p^143*q ^1844+10908*p^141*q^1846+1283048*p^139*q^1848+35243022*p^137*q^1850+444973958*p ^135*q^1852+3668002802*p^133*q^1854+27289587457*p^131*q^1856+181124031808*p^129 *q^1858+794780574823*p^127*q^1860+1470054248846*p^125*q^1862+988486964779*p^123 *q^1864+301976800282*p^121*q^1866+55286797428*p^119*q^1868+7229985562*p^117*q^ 1870+508196259*p^115*q^1872+12059768*p^113*q^1874+82344*p^111*q^1876+2206*p^109 *q^1878+3012*p^142*q^1844+96472*p^140*q^1846+5225770*p^138*q^1848+134165104*p^ 136*q^1850+1185979220*p^134*q^1852+9716907546*p^132*q^1854+68979515314*p^130*q^ 1856+399569185966*p^128*q^1858+1218388411673*p^126*q^1860+1389565982048*p^124*q ^1862+619171465417*p^122*q^1864+144665375808*p^120*q^1866+22299984418*p^118*q^ 1868+2430697398*p^116*q^1870+105477080*p^114*q^1872+1774844*p^112*q^1874+5580*p ^110*q^1876+108*p^143*q^1842+3428*p^141*q^1844+1073922*p^139*q^1846+27633640*p^ 137*q^1848+405050284*p^135*q^1850+3311299442*p^133*q^1852+25021847256*p^131*q^ 1854+167348356700*p^129*q^1856+763359940488*p^127*q^1858+1490726467988*p^125*q^ 1860+1063992124544*p^123*q^1862+336254648367*p^121*q^1864+63454902510*p^119*q^ 1866+8484932043*p^117*q^1868+651325300*p^115*q^1870+17207186*p^113*q^1872+ 145796*p^111*q^1874+2910*p^109*q^1876+1624*p^142*q^1842+92388*p^140*q^1844+ 4804124*p^138*q^1846+116659345*p^136*q^1848+1086307326*p^134*q^1850+8891260262* p^132*q^1852+63372249904*p^130*q^1854+373640671897*p^128*q^1856+1202700208238*p ^126*q^1858+1448902789415*p^124*q^1860+680112348658*p^122*q^1862+163183605423*p ^120*q^1864+25860260884*p^118*q^1866+2942394225*p^116*q^1868+144534428*p^114*q^ 1870+2396084*p^112*q^1872+7486*p^110*q^1874+156*p^108*q^1876+8*p^143*q^1840+ 10848*p^141*q^1842+651080*p^139*q^1844+21141734*p^137*q^1846+361584438*p^135*q^ 1848+2993969144*p^133*q^1850+22873695280*p^131*q^1852+154684205756*p^129*q^1854 +729195377044*p^127*q^1856+1514321571808*p^125*q^1858+1136873367547*p^123*q^ 1860+374898613444*p^121*q^1862+72349361031*p^119*q^1864+9905891738*p^117*q^1866 +829478061*p^115*q^1868+23534350*p^113*q^1870+293668*p^111*q^1872+456*p^109*q^ 1874+1160*p^142*q^1840+42484*p^140*q^1842+4442752*p^138*q^1844+99110040*p^136*q ^1846+1006010891*p^134*q^1848+8156018482*p^132*q^1850+58256751103*p^130*q^1852+ 350384037888*p^128*q^1854+1177911073657*p^126*q^1856+1512527496424*p^124*q^1858 +740576699908*p^122*q^1860+184167713190*p^120*q^1862+29744919234*p^118*q^1864+ 3522542694*p^116*q^1866+190302028*p^114*q^1868+3580280*p^112*q^1870+14094*p^110 *q^1872+732*p^108*q^1874+2*p^143*q^1838+13500*p^141*q^1840+553818*p^139*q^1842+ 18098254*p^137*q^1844+329452492*p^135*q^1846+2707712320*p^133*q^1848+ 21016236744*p^131*q^1850+142604795685*p^129*q^1852+695847788528*p^127*q^1854+ 1524392333011*p^125*q^1856+1215955148256*p^123*q^1858+415762552357*p^121*q^1860 +82754237570*p^119*q^1862+11555344474*p^117*q^1864+1067617800*p^115*q^1866+ 35898618*p^113*q^1868+474420*p^111*q^1870+484*p^109*q^1872+452*p^142*q^1838+ 42102*p^140*q^1840+3452204*p^138*q^1842+79797484*p^136*q^1844+909763628*p^134*q ^1846+7416432561*p^132*q^1848+53379344494*p^130*q^1850+326375977361*p^128*q^ 1852+1154146059654*p^126*q^1854+1567019892450*p^124*q^1856+810017897048*p^122*q ^1858+207022918622*p^120*q^1860+34359415998*p^118*q^1862+4192910096*p^116*q^ 1864+245815238*p^114*q^1866+4465399*p^112*q^1868+32832*p^110*q^1870+22*p^108*q^ 1872+8*p^143*q^1836+8476*p^141*q^1838+354460*p^139*q^1840+15519864*p^137*q^1842 +293049418*p^135*q^1844+2475321472*p^133*q^1846+19247428880*p^131*q^1848+ 131802038296*p^129*q^1850+661192177664*p^127*q^1852+1537721791470*p^125*q^1854+ 1291413487614*p^123*q^1856+461399546082*p^121*q^1858+93815781766*p^119*q^1860+ 13403368844*p^117*q^1862+1312720994*p^115*q^1864+49303846*p^113*q^1866+695852*p ^111*q^1868+890*p^109*q^1870+102*p^107*q^1872+48*p^142*q^1836+59588*p^140*q^ 1838+2718862*p^138*q^1840+66830674*p^136*q^1842+835948174*p^134*q^1844+ 6753226384*p^132*q^1846+49065973004*p^130*q^1848+304657403596*p^128*q^1850+ 1122985139229*p^126*q^1852+1623457986870*p^124*q^1854+877959094184*p^122*q^1856 +232855766036*p^120*q^1858+39491843806*p^118*q^1860+4955946326*p^116*q^1862+ 330079166*p^114*q^1864+7328734*p^112*q^1866+77076*p^110*q^1868+16*p^108*q^1870+ 14*p^143*q^1834+6736*p^141*q^1836+250752*p^139*q^1838+13890834*p^137*q^1840+ 254971832*p^135*q^1842+2252793122*p^133*q^1844+17698355782*p^131*q^1846+ 121207923765*p^129*q^1848+628125193050*p^127*q^1850+1536744244219*p^125*q^1852+ 1373613430314*p^123*q^1854+509317152842*p^121*q^1856+106913323620*p^119*q^1858+ 15528601748*p^117*q^1860+1629877592*p^115*q^1862+66291265*p^113*q^1864+837588*p ^111*q^1866+2096*p^109*q^1868+124*p^142*q^1834+49632*p^140*q^1836+2110970*p^138 *q^1838+54631556*p^136*q^1840+763029624*p^134*q^1842+6121215780*p^132*q^1844+ 44919331928*p^130*q^1846+283040027504*p^128*q^1848+1092498993932*p^126*q^1850+ 1670906824463*p^124*q^1852+954461457926*p^122*q^1854+260774429210*p^120*q^1856+ 45388513144*p^118*q^1858+5824751461*p^116*q^1860+426619522*p^114*q^1862+ 10905460*p^112*q^1864+129686*p^110*q^1866+32*p^108*q^1868+6*p^106*q^1870+20*p^ 143*q^1832+1284*p^141*q^1834+227796*p^139*q^1836+11317178*p^137*q^1838+ 217945954*p^135*q^1840+2055675962*p^133*q^1842+16185910979*p^131*q^1844+ 111907234956*p^129*q^1846+593332902276*p^127*q^1848+1539745634982*p^125*q^1850+ 1449759382800*p^123*q^1852+563246089336*p^121*q^1854+120808457740*p^119*q^1856+ 17994560038*p^117*q^1858+1964112384*p^115*q^1860+88174838*p^113*q^1862+1173546* p^111*q^1864+7744*p^109*q^1866+200*p^142*q^1832+48656*p^140*q^1834+1491804*p^ 138*q^1836+47718324*p^136*q^1838+693637430*p^134*q^1840+5584779602*p^132*q^1842 +41266451200*p^130*q^1844+263352787366*p^128*q^1846+1056330048698*p^126*q^1848+ 1719371092402*p^124*q^1850+1029327799006*p^122*q^1852+292072513198*p^120*q^1854 +51900998789*p^118*q^1856+6800760410*p^116*q^1858+552520965*p^114*q^1860+ 16079870*p^112*q^1862+178476*p^110*q^1864+40*p^108*q^1866+4*p^143*q^1830+1312*p ^141*q^1832+223428*p^139*q^1834+9609538*p^137*q^1836+185929566*p^135*q^1838+ 1879260513*p^133*q^1840+14832215768*p^131*q^1842+102842498544*p^129*q^1844+ 560848872060*p^127*q^1846+1527468071264*p^125*q^1848+1532486433938*p^123*q^1850 +619019689162*p^121*q^1852+137174813450*p^119*q^1854+20815329776*p^117*q^1856+ 2387418256*p^115*q^1858+119620182*p^113*q^1860+1988884*p^111*q^1862+19962*p^109 *q^1864+336*p^142*q^1830+20512*p^140*q^1832+1158236*p^138*q^1834+40973851*p^136 *q^1836+616673472*p^134*q^1838+5061138568*p^132*q^1840+37861635676*p^130*q^1842 +243889004487*p^128*q^1844+1021390016680*p^126*q^1846+1756842875330*p^124*q^ 1848+1113515359102*p^122*q^1850+325680562610*p^120*q^1852+59446204210*p^118*q^ 1854+7909754237*p^116*q^1856+694130194*p^114*q^1858+21745036*p^112*q^1860+ 162194*p^110*q^1862+400*p^108*q^1864+40*p^143*q^1828+1480*p^141*q^1830+231290*p ^139*q^1832+7262094*p^137*q^1834+155828082*p^135*q^1836+1724806638*p^133*q^1838 +13532242714*p^131*q^1840+94668497524*p^129*q^1842+527505862949*p^127*q^1844+ 1519153512606*p^125*q^1846+1607439222790*p^123*q^1848+681343161860*p^121*q^1850 +154583075191*p^119*q^1852+24045390492*p^117*q^1854+2831154562*p^115*q^1856+ 160333398*p^113*q^1858+3119042*p^111*q^1860+37456*p^109*q^1862+82*p^142*q^1828+ 12018*p^140*q^1830+916450*p^138*q^1832+35568150*p^136*q^1834+550234571*p^134*q^ 1836+4624440604*p^132*q^1838+34743668112*p^130*q^1840+226564069530*p^128*q^1842 +981348972020*p^126*q^1844+1796211519110*p^124*q^1846+1194221270063*p^122*q^ 1848+363622436724*p^120*q^1850+67639463216*p^118*q^1852+9191151528*p^116*q^1854 +870740196*p^114*q^1856+29434800*p^112*q^1858+292600*p^110*q^1860+1788*p^108*q^ 1862+2678*p^141*q^1828+163434*p^139*q^1830+6004388*p^137*q^1832+135568354*p^135 *q^1834+1572716797*p^133*q^1836+12358404596*p^131*q^1838+87057677708*p^129*q^ 1840+496024527782*p^127*q^1842+1497069102606*p^125*q^1844+1687749246310*p^123*q ^1846+745249308775*p^121*q^1848+174780139848*p^119*q^1850+27721281673*p^117*q^ 1852+3370170104*p^115*q^1854+213675696*p^113*q^1856+5035682*p^111*q^1858+30440* p^109*q^1860+8*p^107*q^1862+636*p^142*q^1826+10176*p^140*q^1828+928480*p^138*q^ 1830+29205646*p^136*q^1832+476287506*p^134*q^1834+4201839685*p^132*q^1836+ 31886849642*p^130*q^1838+209156061060*p^128*q^1840+942974474252*p^126*q^1842+ 1822069960229*p^124*q^1844+1285262648430*p^122*q^1846+404127284059*p^120*q^1848 +77241161812*p^118*q^1850+10664871785*p^116*q^1852+1076557278*p^114*q^1854+ 40140024*p^112*q^1856+438222*p^110*q^1858+6194*p^108*q^1860+1220*p^141*q^1826+ 94128*p^139*q^1828+4259028*p^137*q^1830+116810056*p^135*q^1832+1430539910*p^133 *q^1834+11253656525*p^131*q^1836+80014495336*p^129*q^1838+464852233878*p^127*q^ 1840+1478288431576*p^125*q^1842+1759476742902*p^123*q^1844+816704280598*p^121*q ^1846+196142584040*p^119*q^1848+31878313214*p^117*q^1850+3929646530*p^115*q^ 1852+275071420*p^113*q^1854+6564314*p^111*q^1856+32382*p^109*q^1858+48*p^107*q^ 1860+78*p^142*q^1824+13428*p^140*q^1826+804824*p^138*q^1828+25066326*p^136*q^ 1830+415638744*p^134*q^1832+3857465968*p^132*q^1834+29259544534*p^130*q^1836+ 193966674932*p^128*q^1838+900985268382*p^126*q^1840+1849392863244*p^124*q^1842+ 1370583624512*p^122*q^1844+449315212008*p^120*q^1846+87658932298*p^118*q^1848+ 12374195904*p^116*q^1850+1315244063*p^114*q^1852+57111794*p^112*q^1854+967923*p ^110*q^1856+7312*p^108*q^1858+4376*p^141*q^1824+75360*p^139*q^1826+3790306*p^ 137*q^1828+101006016*p^135*q^1830+1293058692*p^133*q^1832+10267530270*p^131*q^ 1834+73458361558*p^129*q^1836+435283420130*p^127*q^1838+1447006398407*p^125*q^ 1840+1835345316656*p^123*q^1842+889272669346*p^121*q^1844+221158374922*p^119*q^ 1846+36600529149*p^117*q^1848+4613283352*p^115*q^1850+359750256*p^113*q^1852+ 9031736*p^111*q^1854+46692*p^109*q^1856+664*p^107*q^1858+8*p^142*q^1822+11106*p ^140*q^1824+569578*p^138*q^1826+19589198*p^136*q^1828+359570114*p^134*q^1830+ 3505555225*p^132*q^1832+26773214206*p^130*q^1834+178787736847*p^128*q^1836+ 860727698578*p^126*q^1838+1863335978918*p^124*q^1840+1466366983468*p^122*q^1842 +497225824875*p^120*q^1844+99721125808*p^118*q^1846+14312034653*p^116*q^1848+ 1591840626*p^114*q^1850+74898338*p^112*q^1852+1346012*p^110*q^1854+3450*p^108*q ^1856+4*p^143*q^1820+2130*p^141*q^1822+58124*p^139*q^1824+3270930*p^137*q^1826+ 86613426*p^135*q^1828+1156776316*p^133*q^1830+9358735073*p^131*q^1832+ 67621015366*p^129*q^1834+406249533811*p^127*q^1836+1419340083700*p^125*q^1838+ 1900916714974*p^123*q^1840+969889320542*p^121*q^1842+247444902545*p^119*q^1844+ 41896946840*p^117*q^1846+5353408572*p^115*q^1848+450227482*p^113*q^1850+ 13161527*p^111*q^1852+124962*p^109*q^1854+1312*p^107*q^1856+18488*p^140*q^1822+ 460730*p^138*q^1824+15811700*p^136*q^1826+315434424*p^134*q^1828+3216665258*p^ 132*q^1830+24512972483*p^130*q^1832+165331828478*p^128*q^1834+817683223814*p^ 126*q^1836+1878058541608*p^124*q^1838+1555279857325*p^122*q^1840+550907169096*p ^120*q^1842+112711248234*p^118*q^1844+16612209500*p^116*q^1846+1896345328*p^114 *q^1848+103922098*p^112*q^1850+1880194*p^110*q^1852+4180*p^108*q^1854+32*p^106* q^1856+312*p^141*q^1820+64352*p^139*q^1822+2626872*p^137*q^1824+75023332*p^135* q^1826+1023584291*p^133*q^1828+8546770092*p^131*q^1830+62065276182*p^129*q^1832 +379307852338*p^127*q^1834+1379956888497*p^125*q^1836+1969808143494*p^123*q^ 1838+1051052811184*p^121*q^1840+277853663158*p^119*q^1842+47940105439*p^117*q^ 1844+6223990450*p^115*q^1846+573122755*p^113*q^1848+18007488*p^111*q^1850+ 247836*p^109*q^1852+660*p^107*q^1854+100*p^142*q^1818+20176*p^140*q^1820+319396 *p^138*q^1822+13471944*p^136*q^1824+271849612*p^134*q^1826+2928225176*p^132*q^ 1828+22417929556*p^130*q^1830+152198513142*p^128*q^1832+777154931342*p^126*q^ 1834+1878055617438*p^124*q^1836+1654243971510*p^122*q^1838+607136561933*p^120*q ^1840+127887117144*p^118*q^1842+19119801491*p^116*q^1844+2255018140*p^114*q^ 1846+135428046*p^112*q^1848+2662964*p^110*q^1850+8269*p^108*q^1852+144*p^106*q^ 1854+180*p^141*q^1818+65402*p^139*q^1820+2202264*p^137*q^1822+60794304*p^135*q^ 1824+907019862*p^133*q^1826+7774952897*p^131*q^1828+57021460746*p^129*q^1830+ 352815522656*p^127*q^1832+1344419159808*p^125*q^1834+2026340154714*p^123*q^1836 +1141128293056*p^121*q^1838+310008514977*p^119*q^1840+54728647966*p^117*q^1842+ 7218487606*p^115*q^1844+704668854*p^113*q^1846+25239934*p^111*q^1848+330852*p^ 109*q^1850+252*p^107*q^1852+8*p^142*q^1816+5808*p^140*q^1818+288726*p^138*q^ 1820+10650974*p^136*q^1822+240428834*p^134*q^1824+2664479144*p^132*q^1826+ 20506822889*p^130*q^1828+140599122578*p^128*q^1830+734879308936*p^126*q^1832+ 1880769349644*p^124*q^1834+1743831020354*p^122*q^1836+669784124366*p^120*q^1838 +144078164382*p^118*q^1840+22062979610*p^116*q^1842+2632804180*p^114*q^1844+ 177904916*p^112*q^1846+3886082*p^110*q^1848+36124*p^108*q^1850+112*p^106*q^1852 +904*p^141*q^1816+101260*p^139*q^1818+1758734*p^137*q^1820+52918774*p^135*q^ 1822+800140471*p^133*q^1824+7125637936*p^131*q^1826+52310545326*p^129*q^1828+ 328375867996*p^127*q^1830+1299058924332*p^125*q^1832+2085255239178*p^123*q^1834 +1229875853621*p^121*q^1836+347023100922*p^119*q^1838+62335956405*p^117*q^1840+ 8411932524*p^115*q^1842+873629851*p^113*q^1844+36395796*p^111*q^1846+529172*p^ 109*q^1848+176*p^107*q^1850+8*p^105*q^1852+3914*p^140*q^1816+254620*p^138*q^ 1818+9061570*p^136*q^1820+204598592*p^134*q^1822+2390616545*p^132*q^1824+ 18710444332*p^130*q^1826+129242012645*p^128*q^1828+694358532762*p^126*q^1830+ 1867745230801*p^124*q^1832+1844276540492*p^122*q^1834+735453139491*p^120*q^1836 +162921808772*p^118*q^1838+25371639216*p^116*q^1840+3080976588*p^114*q^1842+ 227399150*p^112*q^1844+5150768*p^110*q^1846+44678*p^108*q^1848+8*p^106*q^1850+ 312*p^141*q^1814+56654*p^139*q^1816+1320532*p^137*q^1818+42282398*p^135*q^1820+ 703219888*p^133*q^1822+6505565773*p^131*q^1824+48044243382*p^129*q^1826+ 304620703932*p^127*q^1828+1257978613834*p^125*q^1830+2131029156542*p^123*q^1832 +1328717163162*p^121*q^1834+385427418887*p^119*q^1836+70956986746*p^117*q^1838+ 9695790473*p^115*q^1840+1047169084*p^113*q^1842+48057662*p^111*q^1844+721182*p^ 109*q^1846+3104*p^107*q^1848+8*p^105*q^1850+4578*p^140*q^1814+346068*p^138*q^ 1816+7689060*p^136*q^1818+180446554*p^134*q^1820+2164616626*p^132*q^1822+ 17106451750*p^130*q^1824+119265924580*p^128*q^1826+653838038865*p^126*q^1828+ 1855920331754*p^124*q^1830+1932580521846*p^122*q^1832+807991700370*p^120*q^1834 +183159046754*p^118*q^1836+29135281494*p^116*q^1838+3588208009*p^114*q^1840+ 295884796*p^112*q^1842+8335364*p^110*q^1844+100564*p^108*q^1846+20*p^141*q^1812 +38790*p^139*q^1814+1113776*p^137*q^1816+35291452*p^135*q^1818+615693536*p^133* q^1820+5932728000*p^131*q^1822+44003109433*p^129*q^1824+282801632822*p^127*q^ 1826+1207897135196*p^125*q^1828+2178498150690*p^123*q^1830+1425021718297*p^121* q^1832+430143447708*p^119*q^1834+80548951364*p^117*q^1836+11292236378*p^115*q^ 1838+1258523953*p^113*q^1840+64229062*p^111*q^1842+949298*p^109*q^1844+5332*p^ 107*q^1846+4216*p^140*q^1812+315294*p^138*q^1814+6182575*p^136*q^1816+153210220 *p^134*q^1818+1929835542*p^132*q^1820+15624539678*p^130*q^1822+109552880066*p^ 128*q^1824+615269206260*p^126*q^1826+1831147350360*p^124*q^1828+2029995318336*p ^122*q^1830+883145047461*p^120*q^1832+206379678890*p^118*q^1834+33328227356*p^ 116*q^1836+4163217674*p^114*q^1838+370366368*p^112*q^1840+11665326*p^110*q^1842 +118790*p^108*q^1844+84*p^106*q^1846+12*p^141*q^1810+24220*p^139*q^1812+1079844 *p^137*q^1814+29199348*p^135*q^1816+542418042*p^133*q^1818+5396673576*p^131*q^ 1820+40357966028*p^129*q^1822+261722148484*p^127*q^1824+1162369447618*p^125*q^ 1826+2210627597504*p^123*q^1828+1531570819306*p^121*q^1830+476428636233*p^119*q ^1832+91466389762*p^117*q^1834+13016242625*p^115*q^1836+1487092318*p^113*q^1838 +84908699*p^111*q^1840+1496076*p^109*q^1842+13622*p^107*q^1844+872*p^140*q^1810 +240466*p^138*q^1812+4973110*p^136*q^1814+129232168*p^134*q^1816+1722051188*p^ 132*q^1818+14280316082*p^130*q^1820+101000927532*p^128*q^1822+576704577929*p^ 126*q^1824+1808177061908*p^124*q^1826+2114449897871*p^122*q^1828+966275705180*p ^120*q^1830+231138271475*p^118*q^1832+38147743150*p^116*q^1834+4827291994*p^114 *q^1836+460720474*p^112*q^1838+16234212*p^110*q^1840+158884*p^108*q^1842+644*p^ 106*q^1844+27752*p^139*q^1810+1190010*p^137*q^1812+25175286*p^135*q^1814+ 480701287*p^133*q^1816+4924335468*p^131*q^1818+36935467152*p^129*q^1820+ 242429836362*p^127*q^1822+1110017233630*p^125*q^1824+2243666198486*p^123*q^1826 +1633818834934*p^121*q^1828+529337360376*p^119*q^1830+103585454631*p^117*q^1832 +15083127276*p^115*q^1834+1751225308*p^113*q^1836+114959858*p^111*q^1838+ 2491142*p^109*q^1840+21300*p^107*q^1842+32*p^142*q^1806+448*p^140*q^1808+167164 *p^138*q^1810+4005788*p^136*q^1812+107226494*p^134*q^1814+1514959181*p^132*q^ 1816+13028964130*p^130*q^1818+92650701919*p^128*q^1820+540660294870*p^126*q^ 1822+1770820296290*p^124*q^1824+2207981316974*p^122*q^1826+1051317049243*p^120* q^1828+259954038282*p^118*q^1830+43479491720*p^116*q^1832+5611529204*p^114*q^ 1834+566489000*p^112*q^1836+21106604*p^110*q^1838+222432*p^108*q^1840+912*p^106 *q^1842+14012*p^139*q^1808+1059540*p^137*q^1810+20862820*p^135*q^1812+417869062 *p^133*q^1814+4462007900*p^131*q^1816+33849174026*p^129*q^1818+223963493130*p^ 127*q^1820+1061978199272*p^125*q^1822+2261565239019*p^123*q^1824+1746180807940* p^121*q^1826+584373715328*p^119*q^1828+117197207002*p^117*q^1830+17300186084*p^ 115*q^1832+2035882188*p^113*q^1834+145483462*p^111*q^1836+3630948*p^109*q^1838+ 19976*p^107*q^1840+44*p^105*q^1842+8*p^142*q^1804+40*p^140*q^1806+127540*p^138* q^1808+3905490*p^136*q^1810+90339927*p^134*q^1812+1359747158*p^132*q^1814+ 11894160551*p^130*q^1816+85358442318*p^128*q^1818+504989157652*p^126*q^1820+ 1737280515632*p^124*q^1822+2284347096201*p^122*q^1824+1145579935548*p^120*q^ 1826+290135998278*p^118*q^1828+49656133866*p^116*q^1830+6518217150*p^114*q^1832 +687959174*p^112*q^1834+30500118*p^110*q^1836+413968*p^108*q^1838+3716*p^106*q^ 1840+456*p^141*q^1804+6716*p^139*q^1806+927524*p^137*q^1808+16752292*p^135*q^ 1810+363817594*p^133*q^1812+4011737784*p^131*q^1814+30969187482*p^129*q^1816+ 207063086480*p^127*q^1818+1008682217121*p^125*q^1820+2279761312598*p^123*q^1822 +1852203787969*p^121*q^1824+646882080256*p^119*q^1826+132351069814*p^117*q^1828 +19948655120*p^115*q^1830+2366697482*p^113*q^1832+189415474*p^111*q^1834+ 4946382*p^109*q^1836+33504*p^107*q^1838+12*p^105*q^1840+16*p^142*q^1802+28*p^ 140*q^1804+112986*p^138*q^1806+3734206*p^136*q^1808+78065792*p^134*q^1810+ 1198813924*p^132*q^1812+10893409408*p^130*q^1814+78207702702*p^128*q^1816+ 471632758726*p^126*q^1818+1690729037968*p^124*q^1820+2369536483476*p^122*q^1822 +1240791336204*p^120*q^1824+325200662524*p^118*q^1826+56435990004*p^116*q^1828+ 7573144258*p^114*q^1830+825844977*p^112*q^1832+40337920*p^110*q^1834+670806*p^ 108*q^1836+1582*p^106*q^1838+160*p^141*q^1802+2048*p^139*q^1804+602650*p^137*q^ 1806+13896506*p^135*q^1808+304290520*p^133*q^1810+3601809452*p^131*q^1812+ 28285527958*p^129*q^1814+190977203450*p^127*q^1816+959771497620*p^125*q^1818+ 2281618736636*p^123*q^1820+1969466353268*p^121*q^1822+711320286067*p^119*q^1824 +149457704502*p^117*q^1826+22802999195*p^115*q^1828+2742549312*p^113*q^1830+ 235413796*p^111*q^1832+6795604*p^109*q^1834+50240*p^107*q^1836+430*p^105*q^1838 +8*p^142*q^1800+2660*p^140*q^1802+62110*p^138*q^1804+3681244*p^136*q^1806+ 65609530*p^134*q^1808+1080040570*p^132*q^1810+9943956527*p^130*q^1812+ 72058730824*p^128*q^1814+439359584945*p^126*q^1816+1647436529160*p^124*q^1818+ 2436465582138*p^122*q^1820+1345253742614*p^120*q^1822+361881128270*p^118*q^1824 +64208911540*p^116*q^1826+8745001805*p^114*q^1828+975199630*p^112*q^1830+ 54750930*p^110*q^1832+1100516*p^108*q^1834+4492*p^106*q^1836+244*p^141*q^1800+ 756*p^139*q^1802+583474*p^137*q^1804+12634244*p^135*q^1806+264339913*p^133*q^ 1808+3223066932*p^131*q^1810+25850057036*p^129*q^1812+176247468236*p^127*q^1814 +907197388661*p^125*q^1816+2283684158432*p^123*q^1818+2076419831273*p^121*q^ 1820+784876040324*p^119*q^1822+168341273673*p^117*q^1824+26211112928*p^115*q^ 1826+3205858298*p^113*q^1828+300901780*p^111*q^1830+9875092*p^109*q^1832+92168* p^107*q^1834+80*p^105*q^1836+1976*p^140*q^1800+33132*p^138*q^1802+2827976*p^136 *q^1804+53265374*p^134*q^1806+937823642*p^132*q^1808+9038602306*p^130*q^1810+ 65942055280*p^128*q^1812+409024470826*p^126*q^1814+1593457117430*p^124*q^1816+ 2510222525640*p^122*q^1818+1450706880814*p^120*q^1820+404285300794*p^118*q^1822 +72776836693*p^116*q^1824+10124349634*p^114*q^1826+1135999523*p^112*q^1828+ 70003330*p^110*q^1830+1381488*p^108*q^1832+5932*p^106*q^1834+22*p^104*q^1836+ 164*p^141*q^1798+8720*p^139*q^1800+409974*p^137*q^1802+12023136*p^135*q^1804+ 227498742*p^133*q^1806+2895245716*p^131*q^1808+23699870404*p^129*q^1810+ 162372792197*p^127*q^1812+859166573006*p^125*q^1814+2270621823656*p^123*q^1816+ 2194269218938*p^121*q^1818+859295911342*p^119*q^1820+189475367922*p^117*q^1822+ 29863297904*p^115*q^1824+3706793980*p^113*q^1826+367102648*p^111*q^1828+ 13729342*p^109*q^1830+191366*p^107*q^1832+384*p^105*q^1834+1800*p^140*q^1798+ 11844*p^138*q^1800+2426868*p^136*q^1802+45132382*p^134*q^1804+821251598*p^132*q ^1806+8198173327*p^130*q^1808+60563430042*p^128*q^1810+379721482335*p^126*q^ 1812+1542989505912*p^124*q^1814+2563784654235*p^122*q^1816+1565723133492*p^120* q^1818+448744677231*p^118*q^1820+82748393040*p^116*q^1822+11666706958*p^114*q^ 1824+1332737672*p^112*q^1826+93108278*p^110*q^1828+2080250*p^108*q^1830+8278*p^ 106*q^1832+4*p^104*q^1834+28*p^141*q^1796+13148*p^139*q^1798+276880*p^137*q^ 1800+10885886*p^135*q^1802+193364598*p^133*q^1804+2604474002*p^131*q^1806+ 21658691210*p^129*q^1808+149782948494*p^127*q^1810+808541539001*p^125*q^1812+ 2257326321098*p^123*q^1814+2301127195159*p^121*q^1816+944097474956*p^119*q^1818 +212587434194*p^117*q^1820+34137179152*p^115*q^1822+4309057347*p^113*q^1824+ 445662444*p^111*q^1826+18576464*p^109*q^1828+290204*p^107*q^1830+792*p^105*q^ 1832+4*p^142*q^1794+1852*p^140*q^1796+25196*p^138*q^1798+2045812*p^136*q^1800+ 39795092*p^134*q^1802+714411990*p^132*q^1804+7399212430*p^130*q^1806+ 55391091947*p^128*q^1808+352685726862*p^126*q^1810+1482577314960*p^124*q^1812+ 2623492976876*p^122*q^1814+1679071609212*p^120*q^1816+499633096262*p^118*q^1818 +93633539762*p^116*q^1820+13464040966*p^114*q^1822+1553085662*p^112*q^1824+ 120589738*p^110*q^1826+3040262*p^108*q^1828+20656*p^106*q^1830+20*p^104*q^1832+ 8*p^141*q^1794+9640*p^139*q^1796+137370*p^137*q^1798+9155268*p^135*q^1800+ 160810640*p^133*q^1802+2311022954*p^131*q^1804+19835360354*p^129*q^1806+ 137748548373*p^127*q^1808+762201899872*p^125*q^1810+2228827639499*p^123*q^1812+ 2417700272272*p^121*q^1814+1030652284164*p^119*q^1816+238897167784*p^117*q^1818 +38764476986*p^115*q^1820+4995948506*p^113*q^1822+527136346*p^111*q^1824+ 24276772*p^109*q^1826+371132*p^107*q^1828+368*p^105*q^1830+640*p^140*q^1794+ 49434*p^138*q^1796+1532108*p^136*q^1798+36075716*p^134*q^1800+626715628*p^132*q ^1802+6704018800*p^130*q^1804+50846831402*p^128*q^1806+326852065714*p^126*q^ 1808+1427841879124*p^124*q^1810+2660977915231*p^122*q^1812+1803065041750*p^120* q^1814+552261671072*p^118*q^1816+105971730478*p^116*q^1818+15432777335*p^114*q^ 1820+1795146176*p^112*q^1822+153217388*p^110*q^1824+4441076*p^108*q^1826+54218* p^106*q^1828+56*p^104*q^1830+92*p^141*q^1792+12740*p^139*q^1794+120034*p^137*q^ 1796+8288940*p^135*q^1798+138630532*p^133*q^1800+2060059892*p^131*q^1802+ 18070376709*p^129*q^1804+126946410680*p^127*q^1806+714287077318*p^125*q^1808+ 2200752665874*p^123*q^1810+2518512821294*p^121*q^1812+1127823236320*p^119*q^ 1814+267465276564*p^117*q^1816+44353817176*p^115*q^1818+5807091921*p^113*q^1820 +634940474*p^111*q^1822+34449162*p^109*q^1824+601208*p^107*q^1826+1144*p^105*q^ 1828+224*p^140*q^1792+44414*p^138*q^1794+1051164*p^136*q^1796+31589714*p^134*q^ 1798+534485396*p^132*q^1800+6034335578*p^130*q^1802+46498743018*p^128*q^1804+ 302593769242*p^126*q^1806+1364668566980*p^124*q^1808+2705059830920*p^122*q^1810 +1924215588581*p^120*q^1812+613024878436*p^118*q^1814+119578717395*p^116*q^1816 +17685195250*p^114*q^1818+2079448815*p^112*q^1820+188839208*p^110*q^1822+ 5473028*p^108*q^1824+60546*p^106*q^1826+8*p^141*q^1790+7052*p^139*q^1792+144356 *p^137*q^1794+6584406*p^135*q^1796+119046414*p^133*q^1798+1821146156*p^131*q^ 1800+16496710850*p^129*q^1802+116513535008*p^127*q^1804+670954227448*p^125*q^ 1806+2158464481240*p^123*q^1808+2630247880444*p^121*q^1810+1225109106605*p^119* q^1812+299587912852*p^117*q^1814+50280586456*p^115*q^1816+6718450668*p^113*q^ 1818+738889129*p^111*q^1820+44814828*p^109*q^1822+959138*p^107*q^1824+6560*p^ 105*q^1826+860*p^140*q^1790+57460*p^138*q^1792+723476*p^136*q^1794+28998200*p^ 134*q^1796+461684762*p^132*q^1798+5453335836*p^130*q^1800+42689817282*p^128*q^ 1802+280098002082*p^126*q^1804+1305761415002*p^124*q^1806+2725977150845*p^122*q ^1808+2055647509168*p^120*q^1810+675628604985*p^118*q^1812+135114239222*p^116*q ^1814+20184024497*p^114*q^1816+2421536320*p^112*q^1818+233172686*p^110*q^1820+ 8423594*p^108*q^1822+96292*p^106*q^1824+24*p^104*q^1826+3360*p^139*q^1790+ 162504*p^137*q^1792+5467720*p^135*q^1794+104248754*p^133*q^1796+1612335514*p^ 131*q^1798+14966436993*p^129*q^1800+107226124338*p^127*q^1802+626257978361*p^ 125*q^1804+2117297858852*p^123*q^1806+2722888345084*p^121*q^1808+1335328103688* p^119*q^1810+334297752659*p^117*q^1812+57313811690*p^115*q^1814+7782156026*p^ 113*q^1816+863171060*p^111*q^1818+59366452*p^109*q^1820+1186416*p^107*q^1822+ 10178*p^105*q^1824+296*p^140*q^1788+48384*p^138*q^1790+610952*p^136*q^1792+ 24457316*p^134*q^1794+396158244*p^132*q^1796+4883153732*p^130*q^1798+ 39031722444*p^128*q^1800+258913090306*p^126*q^1802+1241903503215*p^124*q^1804+ 2750794684764*p^122*q^1806+2182231820533*p^120*q^1808+747443612196*p^118*q^1810 +152049636839*p^116*q^1812+23100177780*p^114*q^1814+2804715297*p^112*q^1816+ 285265404*p^110*q^1818+11315966*p^108*q^1820+187678*p^106*q^1822+392*p^104*q^ 1824+4960*p^139*q^1788+193378*p^137*q^1790+3895380*p^135*q^1792+93337628*p^133* q^1794+1404200962*p^131*q^1796+13626977608*p^129*q^1798+98334172146*p^127*q^ 1800+586081957970*p^125*q^1802+2063100737956*p^123*q^1804+2825007878662*p^121*q ^1806+1444543215184*p^119*q^1808+373386890672*p^117*q^1810+64859868884*p^115*q^ 1812+8944794878*p^113*q^1814+996964201*p^111*q^1816+74254174*p^109*q^1818+ 1672734*p^107*q^1820+9608*p^105*q^1822+24*p^140*q^1786+28676*p^138*q^1788+ 530806*p^136*q^1790+21511472*p^134*q^1792+341150298*p^132*q^1794+4399915034*p^ 130*q^1796+35783537348*p^128*q^1798+239094704547*p^126*q^1800+1182616571070*p^ 124*q^1802+2753666174318*p^122*q^1804+2318459633738*p^120*q^1806+820946185410*p ^118*q^1808+171439591504*p^116*q^1810+26312539379*p^114*q^1812+3270189908*p^112 *q^1814+342370873*p^110*q^1816+16109744*p^108*q^1818+269084*p^106*q^1820+1356*p ^104*q^1822+3784*p^139*q^1786+218278*p^137*q^1788+3199618*p^135*q^1790+82444410 *p^133*q^1792+1236556888*p^131*q^1794+12330722322*p^129*q^1796+90387303098*p^ 127*q^1798+545532573663*p^125*q^1800+2010713705366*p^123*q^1802+2906209703679*p ^121*q^1804+1566977742592*p^119*q^1806+415433416679*p^117*q^1808+73747751576*p^ 115*q^1810+10280007251*p^113*q^1812+1159100894*p^111*q^1814+95594095*p^109*q^ 1816+2514880*p^107*q^1818+31512*p^105*q^1820+8*p^103*q^1822+12*p^140*q^1784+ 26408*p^138*q^1786+582168*p^136*q^1788+17289436*p^134*q^1790+297141504*p^132*q^ 1792+3914702978*p^130*q^1794+32629710403*p^128*q^1796+220735511768*p^126*q^1798 +1118501217170*p^124*q^1800+2760167074332*p^122*q^1802+2447183895531*p^120*q^ 1804+904989817330*p^118*q^1806+192472788082*p^116*q^1808+30037055768*p^114*q^ 1810+3801995164*p^112*q^1812+405278904*p^110*q^1814+20992446*p^108*q^1816+ 300896*p^106*q^1818+424*p^104*q^1820+24*p^141*q^1782+892*p^139*q^1784+162390*p^ 137*q^1786+2301280*p^135*q^1788+72405152*p^133*q^1790+1067276978*p^131*q^1792+ 11194343322*p^129*q^1794+82875440865*p^127*q^1796+508795447034*p^125*q^1798+ 1946995637458*p^123*q^1800+2996312275600*p^121*q^1802+1687885554354*p^119*q^ 1804+462831698750*p^117*q^1806+83213899974*p^115*q^1808+11786666248*p^113*q^ 1810+1333712028*p^111*q^1812+119001726*p^109*q^1814+3596411*p^107*q^1816+54622* p^105*q^1818+84*p^103*q^1820+25420*p^138*q^1784+704278*p^136*q^1786+14227140*p^ 134*q^1788+262641988*p^132*q^1790+3498500656*p^130*q^1792+29878892538*p^128*q^ 1794+203439632853*p^126*q^1796+1060349032156*p^124*q^1798+2744032128523*p^122*q ^1800+2585355924240*p^120*q^1802+990394687465*p^118*q^1804+216313811502*p^116*q ^1806+34196975676*p^114*q^1808+4405732372*p^112*q^1810+473644467*p^110*q^1812+ 27808396*p^108*q^1814+478744*p^106*q^1816+3592*p^104*q^1818+428*p^139*q^1782+ 141556*p^137*q^1784+1999838*p^135*q^1786+63726290*p^133*q^1788+933419214*p^131* q^1790+10109563898*p^129*q^1792+76115805612*p^127*q^1794+472403170048*p^125*q^ 1796+1885779224258*p^123*q^1798+3060968628236*p^121*q^1800+1822966050844*p^119* q^1802+513240171855*p^117*q^1804+94490013764*p^115*q^1806+13468800383*p^113*q^ 1808+1561417360*p^111*q^1810+150128044*p^109*q^1812+5364958*p^107*q^1814+69885* p^105*q^1816+8*p^103*q^1818+344*p^140*q^1780+12448*p^138*q^1782+662894*p^136*q^ 1784+11283724*p^134*q^1786+229360317*p^132*q^1788+3091476618*p^130*q^1790+ 27173587442*p^128*q^1792+187498638384*p^126*q^1794+998283944697*p^124*q^1796+ 2731912075820*p^122*q^1798+2713527952412*p^120*q^1800+1087633119096*p^118*q^ 1802+242337750853*p^116*q^1804+38948727666*p^114*q^1806+5100581881*p^112*q^1808 +549198446*p^110*q^1810+35270092*p^108*q^1812+625488*p^106*q^1814+8656*p^104*q^ 1816+60*p^139*q^1780+122380*p^137*q^1782+2028648*p^135*q^1784+53041834*p^133*q^ 1786+812170396*p^131*q^1788+9133706792*p^129*q^1790+69707666222*p^127*q^1792+ 439427047868*p^125*q^1794+1815548131181*p^123*q^1796+3135650454612*p^121*q^1798 +1953612347056*p^119*q^1800+570373467284*p^117*q^1802+106339615803*p^115*q^1804 +15391949768*p^113*q^1806+1803490752*p^111*q^1808+180807626*p^109*q^1810+ 7132946*p^107*q^1812+80904*p^105*q^1814+168*p^103*q^1816+40*p^140*q^1778+6556*p ^138*q^1780+616116*p^136*q^1782+8619376*p^134*q^1784+205761936*p^132*q^1786+ 2736465860*p^130*q^1788+24827978950*p^128*q^1790+172664060655*p^126*q^1792+ 941925993592*p^124*q^1794+2697626888789*p^122*q^1796+2850050380758*p^120*q^1798 +1185871859558*p^118*q^1800+271608063652*p^116*q^1802+44228418408*p^114*q^1804+ 5885800256*p^112*q^1806+634983000*p^110*q^1808+46631364*p^108*q^1810+1176748*p^ 106*q^1812+16024*p^104*q^1814+2040*p^139*q^1778+91648*p^137*q^1780+2127244*p^ 135*q^1782+46268836*p^133*q^1784+713293510*p^131*q^1786+8221773561*p^129*q^1788 +63981521102*p^127*q^1790+407020204333*p^125*q^1792+1747563023052*p^123*q^1794+ 3182783205718*p^121*q^1796+2099695021148*p^119*q^1798+630655125237*p^117*q^1800 +120428038614*p^115*q^1802+17584387113*p^113*q^1804+2115827668*p^111*q^1806+ 218892404*p^109*q^1808+9653006*p^107*q^1810+88060*p^105*q^1812+1068*p^103*q^ 1814+1948*p^138*q^1778+532832*p^136*q^1780+7138406*p^134*q^1782+176870122*p^132 *q^1784+2402488296*p^130*q^1786+22505529836*p^128*q^1788+158838576386*p^126*q^ 1790+883354357155*p^124*q^1792+2667541477458*p^122*q^1794+2972932969497*p^120*q ^1796+1297931853788*p^118*q^1798+303355709504*p^116*q^1800+50317676220*p^114*q^ 1802+6751148086*p^112*q^1804+732258408*p^110*q^1806+59568480*p^108*q^1808+ 1559582*p^106*q^1810+18798*p^104*q^1812+2*p^141*q^1774+1088*p^139*q^1776+60652* p^137*q^1778+2088394*p^135*q^1780+36853214*p^133*q^1782+627692656*p^131*q^1784+ 7384243468*p^129*q^1786+58571382254*p^127*q^1788+377792627032*p^125*q^1790+ 1673513839862*p^123*q^1792+3237138538402*p^121*q^1794+2239796091487*p^119*q^ 1796+698285834164*p^117*q^1798+135349468104*p^115*q^1800+20029823398*p^113*q^ 1802+2446798264*p^111*q^1804+255676690*p^109*q^1806+12145179*p^107*q^1808+ 195732*p^105*q^1810+2020*p^103*q^1812+6976*p^138*q^1776+442534*p^136*q^1778+ 6589024*p^134*q^1780+157765642*p^132*q^1782+2118966492*p^130*q^1784+20536645678 *p^128*q^1786+145972551997*p^126*q^1788+830242478784*p^124*q^1790+2616907666620 *p^122*q^1792+3104087960180*p^120*q^1794+1408980841618*p^118*q^1796+ 339533409238*p^116*q^1798+56969188981*p^114*q^1800+7765904820*p^112*q^1802+ 853287900*p^110*q^1804+76467712*p^108*q^1806+2459320*p^106*q^1808+12792*p^104*q ^1810+72*p^102*q^1812+8*p^141*q^1772+88*p^139*q^1774+28692*p^137*q^1776+2009958 *p^135*q^1778+29940262*p^133*q^1780+550606708*p^131*q^1782+6603717880*p^129*q^ 1784+53588673602*p^127*q^1786+349301959968*p^125*q^1788+1601892342940*p^123*q^ 1790+3265176596874*p^121*q^1792+2394260525956*p^119*q^1794+770040136857*p^117*q ^1796+152718411768*p^115*q^1798+22875923440*p^113*q^1800+2852178020*p^111*q^ 1802+297187307*p^109*q^1804+16566396*p^107*q^1806+286292*p^105*q^1808+5596*p^ 103*q^1810+28*p^140*q^1772+9460*p^138*q^1774+369054*p^136*q^1776+6408818*p^134* q^1778+135013302*p^132*q^1780+1871220718*p^130*q^1782+18568458467*p^128*q^1784+ 134403670858*p^126*q^1786+775343220914*p^124*q^1788+2570773579920*p^122*q^1790+ 3217509957626*p^120*q^1792+1535632644034*p^118*q^1794+377969337382*p^116*q^1796 +64741851298*p^114*q^1798+8852324847*p^112*q^1800+990117610*p^110*q^1802+ 95110002*p^108*q^1804+3060302*p^106*q^1806+21120*p^104*q^1808+80*p^102*q^1810+ 14*p^141*q^1770+72*p^139*q^1772+22072*p^137*q^1774+1710796*p^135*q^1776+ 23939140*p^133*q^1778+485846570*p^131*q^1780+5870701134*p^129*q^1782+ 48948999089*p^127*q^1784+323169070396*p^125*q^1786+1525304035980*p^123*q^1788+ 3298911409406*p^121*q^1790+2541884444409*p^119*q^1792+850362390470*p^117*q^1794 +171356934716*p^115*q^1796+26033970480*p^113*q^1798+3304662344*p^111*q^1800+ 343450600*p^109*q^1802+21601842*p^107*q^1804+482388*p^105*q^1806+3195*p^103*q^ 1808+112*p^140*q^1770+2360*p^138*q^1772+240632*p^136*q^1774+6265152*p^134*q^ 1776+115015856*p^132*q^1778+1642658904*p^130*q^1780+16910617938*p^128*q^1782+ 123435020684*p^126*q^1784+726852052542*p^124*q^1786+2505774632284*p^122*q^1788+ 3339054049594*p^120*q^1790+1660436060229*p^118*q^1792+421648920908*p^116*q^1794 +73048842098*p^114*q^1796+10128936238*p^112*q^1798+1142112292*p^110*q^1800+ 114024716*p^108*q^1802+4039823*p^106*q^1804+45816*p^104*q^1806+1074*p^102*q^ 1808+160*p^139*q^1770+43588*p^137*q^1772+1596390*p^135*q^1774+21527134*p^133*q^ 1776+433185604*p^131*q^1778+5253560952*p^129*q^1780+44736696860*p^127*q^1782+ 298222717440*p^125*q^1784+1452433876552*p^123*q^1786+3302870847004*p^121*q^1788 +2702569984900*p^119*q^1790+934251708126*p^117*q^1792+193041282478*p^115*q^1794 +29709810308*p^113*q^1796+3830384272*p^111*q^1798+405223348*p^109*q^1800+ 30108888*p^107*q^1802+804384*p^105*q^1804+1280*p^103*q^1806+229*p^140*q^1768+ 1592*p^138*q^1770+129264*p^136*q^1772+5741276*p^134*q^1774+93502686*p^132*q^ 1776+1440139494*p^130*q^1778+15167059347*p^128*q^1780+113329196330*p^126*q^1782 +676742911866*p^124*q^1784+2445889887992*p^122*q^1786+3439490803751*p^120*q^ 1788+1802583151402*p^118*q^1790+468657809565*p^116*q^1792+82827701974*p^114*q^ 1794+11524980264*p^112*q^1796+1339761336*p^110*q^1798+133135450*p^108*q^1800+ 5039126*p^106*q^1802+57080*p^104*q^1804+1172*p^102*q^1806+4*p^141*q^1766+672*p^ 139*q^1768+23808*p^137*q^1770+1305690*p^135*q^1772+19156380*p^133*q^1774+ 378103558*p^131*q^1776+4671437726*p^129*q^1778+40842330380*p^127*q^1780+ 275748388538*p^125*q^1782+1376414832026*p^123*q^1784+3315990194908*p^121*q^1786 +2852269249305*p^119*q^1788+1028174311826*p^117*q^1790+215858655152*p^115*q^ 1792+33722972744*p^113*q^1794+4386085184*p^111*q^1796+457280882*p^109*q^1798+ 38324660*p^107*q^1800+957184*p^105*q^1802+5820*p^103*q^1804+84*p^101*q^1806+16* p^140*q^1766+692*p^138*q^1768+156956*p^136*q^1770+5465440*p^134*q^1772+78646784 *p^132*q^1774+1285151066*p^130*q^1776+13728664008*p^128*q^1778+103922799182*p^ 126*q^1780+631729594724*p^124*q^1782+2369883686208*p^122*q^1784+3546318119506*p ^120*q^1786+1940324351162*p^118*q^1788+521641826574*p^116*q^1790+93389496513*p^ 114*q^1792+13214850596*p^112*q^1794+1563557628*p^110*q^1796+161467920*p^108*q^ 1798+7524516*p^106*q^1800+172138*p^104*q^1802+36*p^102*q^1804+1738*p^139*q^1766 +15892*p^137*q^1768+855800*p^135*q^1770+17744710*p^133*q^1772+328876056*p^131*q ^1774+4124833900*p^129*q^1776+37263750472*p^127*q^1778+254010607160*p^125*q^ 1780+1304302995166*p^123*q^1782+3298232039479*p^121*q^1784+3017069088824*p^119* q^1786+1125778698106*p^117*q^1788+242548517844*p^115*q^1790+38346922814*p^113*q ^1792+5031371556*p^111*q^1794+531163378*p^109*q^1796+46990768*p^107*q^1798+ 1145624*p^105*q^1800+3004*p^103*q^1802+318*p^101*q^1804+98*p^140*q^1764+2390*p^ 138*q^1766+133708*p^136*q^1768+5094838*p^134*q^1770+67009264*p^132*q^1772+ 1133128746*p^130*q^1774+12348489196*p^128*q^1776+95327167440*p^126*q^1778+ 586648523098*p^124*q^1780+2298105748674*p^122*q^1782+3629806302390*p^120*q^1784 +2096890961678*p^118*q^1786+577786174046*p^116*q^1788+105599741760*p^114*q^1790 +15048112985*p^112*q^1792+1828904876*p^110*q^1794+187273584*p^108*q^1796+ 10756962*p^106*q^1798+227775*p^104*q^1800+408*p^102*q^1802+588*p^139*q^1764+ 6982*p^137*q^1766+666936*p^135*q^1768+16439792*p^133*q^1770+276813072*p^131*q^ 1772+3659528066*p^129*q^1774+33786276429*p^127*q^1776+234436058958*p^125*q^1778 +1230523753699*p^123*q^1780+3287568255140*p^121*q^1782+3167097941487*p^119*q^ 1784+1235041843372*p^117*q^1786+270858919696*p^115*q^1788+43546535422*p^113*q^ 1790+5728051859*p^111*q^1792+613185522*p^109*q^1794+57060652*p^107*q^1796+ 1441986*p^105*q^1798+22622*p^103*q^1800+8*p^140*q^1762+7730*p^138*q^1764+97948* p^136*q^1766+4120984*p^134*q^1768+57766260*p^132*q^1770+1011858339*p^130*q^1772 +11115156136*p^128*q^1774+87466316905*p^126*q^1776+546308190426*p^124*q^1778+ 2213781824087*p^122*q^1780+3718153288894*p^120*q^1782+2247122872556*p^118*q^ 1784+641426144776*p^116*q^1786+118704048806*p^114*q^1788+17156009548*p^112*q^ 1790+2122189307*p^110*q^1792+214618886*p^108*q^1794+14302124*p^106*q^1796+ 299858*p^104*q^1798+48*p^102*q^1800+48*p^100*q^1802+944*p^139*q^1762+6900*p^137 *q^1764+593174*p^135*q^1766+16105068*p^133*q^1768+238999738*p^131*q^1770+ 3244743402*p^129*q^1772+30762179072*p^127*q^1774+215511221883*p^125*q^1776+ 1161141276758*p^123*q^1778+3248897652479*p^121*q^1780+3329381420090*p^119*q^ 1782+1347371251328*p^117*q^1784+303671975150*p^115*q^1786+49389722051*p^113*q^ 1788+6591086198*p^111*q^1790+718473490*p^109*q^1792+71764884*p^107*q^1794+ 2430482*p^105*q^1796+45052*p^103*q^1798+8*p^101*q^1800+6140*p^138*q^1762+66372* p^136*q^1764+3175142*p^134*q^1766+50609876*p^132*q^1768+882092402*p^130*q^1770+ 9916634079*p^128*q^1772+80021225148*p^126*q^1774+506112037777*p^124*q^1776+ 2133924490852*p^122*q^1778+3780664517726*p^120*q^1780+2416863027094*p^118*q^ 1782+708758259151*p^116*q^1784+133932544294*p^114*q^1786+19557963286*p^112*q^ 1788+2439060970*p^110*q^1790+246415340*p^108*q^1792+17695440*p^106*q^1794+ 259612*p^104*q^1796+1364*p^102*q^1798+316*p^139*q^1760+22548*p^137*q^1762+ 453652*p^135*q^1764+14612172*p^133*q^1766+201148318*p^131*q^1768+2889196746*p^ 129*q^1770+27875452406*p^127*q^1772+198769720448*p^125*q^1774+1090281806936*p^ 123*q^1776+3217970517464*p^121*q^1778+3474967426534*p^119*q^1780+1472721193298* p^117*q^1782+338166105461*p^115*q^1784+55970746044*p^113*q^1786+7470321139*p^ 111*q^1788+843914982*p^109*q^1790+83885988*p^107*q^1792+3505856*p^105*q^1794+ 72108*p^103*q^1796+3*p^99*q^1800+5636*p^138*q^1760+32714*p^136*q^1762+2585666*p ^134*q^1764+47020726*p^132*q^1766+773669656*p^130*q^1768+8890270808*p^128*q^ 1770+73166528960*p^126*q^1772+469946901012*p^124*q^1774+2044646200291*p^122*q^ 1776+3847091784074*p^120*q^1778+2578236328090*p^118*q^1780+784480450686*p^116*q ^1782+150390448157*p^114*q^1784+22294801912*p^112*q^1786+2813344785*p^110*q^ 1788+280879336*p^108*q^1790+23114784*p^106*q^1792+426408*p^104*q^1794+6128*p^ 102*q^1796+22*p^139*q^1758+31369*p^137*q^1760+397766*p^135*q^1762+12742536*p^ 133*q^1764+172614456*p^131*q^1766+2571733034*p^129*q^1768+25308870990*p^127*q^ 1770+182603390581*p^125*q^1772+1025373155852*p^123*q^1774+3157462043484*p^121*q ^1776+3632678722632*p^119*q^1778+1600112185436*p^117*q^1780+378263665414*p^115* q^1782+63258524699*p^113*q^1784+8560040126*p^111*q^1786+986102977*p^109*q^1788+ 100213660*p^107*q^1790+4922242*p^105*q^1792+76240*p^103*q^1794+16*p^101*q^1796+ 20*p^140*q^1756+4440*p^138*q^1758+57610*p^136*q^1760+1977018*p^134*q^1762+ 44045338*p^132*q^1764+669065432*p^130*q^1766+7907421877*p^128*q^1768+ 66812473916*p^126*q^1770+434296941691*p^124*q^1772+1959023008988*p^122*q^1774+ 3885774602586*p^120*q^1776+2758843162620*p^118*q^1778+864521369328*p^116*q^1780 +169383105872*p^114*q^1782+25387475035*p^112*q^1784+3228817680*p^110*q^1786+ 327331234*p^108*q^1788+28739250*p^106*q^1790+650888*p^104*q^1792+10712*p^102*q^ 1794+28*p^139*q^1756+26904*p^137*q^1758+225984*p^135*q^1760+10541766*p^133*q^ 1762+146779084*p^131*q^1764+2277563356*p^129*q^1766+22827017537*p^127*q^1768+ 168107830880*p^125*q^1770+959376187694*p^123*q^1772+3108414817462*p^121*q^1774+ 3767930533454*p^119*q^1776+1743288545608*p^117*q^1778+420277498516*p^115*q^1780 +71504359828*p^113*q^1782+9717517544*p^111*q^1784+1146405320*p^109*q^1786+ 112495552*p^107*q^1788+6307826*p^105*q^1790+59610*p^103*q^1792+464*p^101*q^1794 +732*p^138*q^1756+95740*p^136*q^1758+1765644*p^134*q^1760+40850102*p^132*q^1762 +581996226*p^130*q^1764+7094839444*p^128*q^1766+61003514150*p^126*q^1768+ 402710078982*p^124*q^1770+1867272630768*p^122*q^1772+3927675761930*p^120*q^1774 +2927660259098*p^118*q^1776+953780159196*p^116*q^1778+189642083811*p^114*q^1780 +28906779430*p^112*q^1782+3680421088*p^110*q^1784+379318630*p^108*q^1786+ 36756560*p^106*q^1788+1124370*p^104*q^1790+25600*p^102*q^1792+288*p^139*q^1754+ 30878*p^137*q^1756+209978*p^135*q^1758+8469758*p^133*q^1760+132860226*p^131*q^ 1762+2016772168*p^129*q^1764+20620342868*p^127*q^1766+154198057860*p^125*q^1768 +898035519620*p^123*q^1770+3030959254873*p^121*q^1772+3914932664994*p^119*q^ 1774+1886622065294*p^117*q^1776+469218825402*p^115*q^1778+80791955049*p^113*q^ 1780+11147796318*p^111*q^1782+1342915307*p^109*q^1784+132357756*p^107*q^1786+ 8209174*p^105*q^1788+93960*p^103*q^1790+664*p^101*q^1792+660*p^138*q^1754+ 101818*p^136*q^1756+1278498*p^134*q^1758+36639660*p^132*q^1760+492301310*p^130* q^1762+6308387962*p^128*q^1764+55603926394*p^126*q^1766+371359078741*p^124*q^ 1768+1780665167922*p^122*q^1770+3940729408729*p^120*q^1772+3117774083178*p^118* q^1774+1047536552794*p^116*q^1776+213076240272*p^114*q^1778+32739728782*p^112*q ^1780+4191825080*p^110*q^1782+440785765*p^108*q^1784+42997132*p^106*q^1786+ 1562002*p^104*q^1788+12100*p^102*q^1790+8*p^100*q^1792+32*p^139*q^1752+11766*p^ 137*q^1754+243437*p^135*q^1756+7043404*p^133*q^1758+119776594*p^131*q^1760+ 1782970310*p^129*q^1762+18552007021*p^127*q^1764+141663639210*p^125*q^1766+ 838193585954*p^123*q^1768+2962079689522*p^121*q^1770+4036092235119*p^119*q^1772 +2046532898454*p^117*q^1774+520204582487*p^115*q^1776+91170940708*p^113*q^1778+ 12693951356*p^111*q^1780+1550529776*p^109*q^1782+149368186*p^107*q^1784+ 11049172*p^105*q^1786+172524*p^103*q^1788+5296*p^101*q^1790+1757*p^138*q^1752+ 131014*p^136*q^1754+988188*p^134*q^1756+31474730*p^132*q^1758+425894060*p^130*q ^1760+5648383472*p^128*q^1762+50587489089*p^126*q^1764+343769041124*p^124*q^ 1766+1688103864475*p^122*q^1768+3957860040250*p^120*q^1770+3291369575695*p^118* q^1772+1152830673406*p^116*q^1774+238175647277*p^114*q^1776+37201753178*p^112*q ^1778+4773782459*p^110*q^1780+520720548*p^108*q^1782+51634024*p^106*q^1784+ 2035684*p^104*q^1786+10988*p^102*q^1788+8*p^100*q^1790+7508*p^137*q^1752+287854 *p^135*q^1754+5808568*p^133*q^1756+110970864*p^131*q^1758+1565045932*p^129*q^ 1760+16705016644*p^127*q^1762+129768789112*p^125*q^1764+782167082402*p^123*q^ 1766+2873015667680*p^121*q^1768+4165292135962*p^119*q^1770+2205505706649*p^117* q^1772+579135299986*p^115*q^1774+102677029712*p^113*q^1776+14533139124*p^111*q^ 1778+1782802529*p^109*q^1780+170137964*p^107*q^1782+14386580*p^105*q^1784+ 341208*p^103*q^1786+4700*p^101*q^1788+940*p^138*q^1750+93650*p^136*q^1752+ 875806*p^134*q^1754+26611998*p^132*q^1756+371399696*p^130*q^1758+5017674759*p^ 128*q^1760+46017016458*p^126*q^1762+316458610623*p^124*q^1764+1601923711462*p^ 122*q^1766+3943006281990*p^120*q^1768+3485756060552*p^118*q^1770+1262095956084* p^116*q^1772+267094348316*p^114*q^1774+42130038399*p^112*q^1776+5447625196*p^ 110*q^1778+612392318*p^108*q^1780+61385492*p^106*q^1782+2696190*p^104*q^1784+ 14360*p^102*q^1786+488*p^100*q^1788+7644*p^137*q^1750+387474*p^135*q^1752+ 4419568*p^133*q^1754+99443790*p^131*q^1756+1352532170*p^129*q^1758+14984347966* p^127*q^1760+118966319154*p^125*q^1762+727239095815*p^123*q^1764+2790702401114* p^121*q^1766+4269408123750*p^119*q^1768+2382499834090*p^117*q^1770+640447255119 *p^115*q^1772+115753460090*p^113*q^1774+16504102359*p^111*q^1776+2033886564*p^ 109*q^1778+195325452*p^107*q^1780+17194944*p^105*q^1782+444828*p^103*q^1784+824 *p^101*q^1786+84*p^138*q^1748+56434*p^136*q^1750+766659*p^134*q^1752+22705006*p ^132*q^1754+329668518*p^130*q^1756+4504342600*p^128*q^1758+41774517038*p^126*q^ 1760+292459441848*p^124*q^1762+1512281793456*p^122*q^1764+3934317788616*p^120*q ^1766+3659827890286*p^118*q^1768+1383927748388*p^116*q^1770+297932113484*p^114* q^1772+47696333294*p^112*q^1774+6216042062*p^110*q^1776+719918918*p^108*q^1778+ 68619748*p^106*q^1780+4005266*p^104*q^1782+54182*p^102*q^1784+1372*p^100*q^1786 +8400*p^137*q^1748+419108*p^135*q^1750+3880288*p^133*q^1752+88984570*p^131*q^ 1754+1181410914*p^129*q^1756+13461707128*p^127*q^1758+108705926553*p^125*q^1760 +677262737434*p^123*q^1762+2688599212773*p^121*q^1764+4377774685298*p^119*q^ 1766+2556467414523*p^117*q^1768+711321961404*p^115*q^1770+130093478801*p^113*q^ 1772+18884754796*p^111*q^1774+2324267560*p^109*q^1776+228948582*p^107*q^1778+ 22901052*p^105*q^1780+606142*p^103*q^1782+624*p^101*q^1784+8*p^99*q^1786+68*p^ 138*q^1746+42837*p^136*q^1748+933324*p^134*q^1750+18100056*p^132*q^1752+ 295451296*p^130*q^1754+3972674660*p^128*q^1756+37836966980*p^126*q^1758+ 268850660645*p^124*q^1760+1428044926656*p^122*q^1762+3893643899615*p^120*q^1764 +3854915878954*p^118*q^1766+1510307928029*p^116*q^1768+333545623858*p^114*q^ 1770+53889767483*p^112*q^1772+7108035002*p^110*q^1774+836303010*p^108*q^1776+ 78067936*p^106*q^1778+4734168*p^104*q^1780+79656*p^102*q^1782+24*p^100*q^1784+ 2456*p^137*q^1746+307916*p^135*q^1748+2876466*p^133*q^1750+77827184*p^131*q^ 1752+1022825552*p^129*q^1754+12055336432*p^127*q^1756+99559623084*p^125*q^1758+ 628064072645*p^123*q^1760+2597740662784*p^121*q^1762+4456279467188*p^119*q^1764 +2749221032728*p^117*q^1766+784627272774*p^115*q^1768+146222118062*p^113*q^1770 +21392215277*p^111*q^1772+2633477902*p^109*q^1774+267516000*p^107*q^1776+ 26505084*p^105*q^1778+903942*p^103*q^1780+4676*p^101*q^1782+216*p^99*q^1784+ 40534*p^136*q^1746+1216820*p^134*q^1748+15621650*p^132*q^1750+267193134*p^130*q ^1752+3531162808*p^128*q^1754+34285840811*p^126*q^1756+247907064356*p^124*q^ 1758+1342982812305*p^122*q^1760+3859306458174*p^120*q^1762+4023470143207*p^118* q^1764+1650882623120*p^116*q^1766+371284737571*p^114*q^1768+61041629458*p^112*q ^1770+8119693716*p^110*q^1772+971022536*p^108*q^1774+88317672*p^106*q^1776+ 6848970*p^104*q^1778+130484*p^102*q^1780+24*p^100*q^1782+1484*p^137*q^1744+ 253366*p^135*q^1746+2572986*p^133*q^1748+66362646*p^131*q^1750+898363838*p^129* q^1752+10835009882*p^127*q^1754+90710228214*p^125*q^1756+583189214666*p^123*q^ 1758+2488842231481*p^121*q^1760+4540939926338*p^119*q^1762+2935981560656*p^117* q^1764+868925780704*p^115*q^1766+164130393089*p^113*q^1768+24359976018*p^111*q^ 1770+3006094694*p^109*q^1772+319527806*p^107*q^1774+31686722*p^105*q^1776+ 1134662*p^103*q^1778+10752*p^101*q^1780+4*p^140*q^1740+26708*p^136*q^1744+ 1164488*p^134*q^1746+12572920*p^132*q^1748+239541436*p^130*q^1750+3091506283*p^ 128*q^1752+30946211128*p^126*q^1754+227511795024*p^124*q^1756+1263026109424*p^ 122*q^1758+3795392001870*p^120*q^1760+4213849399562*p^118*q^1762+1794210897686* p^116*q^1764+414885873792*p^114*q^1766+68768909512*p^112*q^1768+9297469534*p^ 110*q^1770+1109722308*p^108*q^1772+99349860*p^106*q^1774+8781396*p^104*q^1776+ 183730*p^102*q^1778+136*p^100*q^1780+14*p^98*q^1782+210*p^137*q^1742+172143*p^ 135*q^1744+2911592*p^133*q^1746+56478439*p^131*q^1748+791602106*p^129*q^1750+ 9697869260*p^127*q^1752+82919920678*p^125*q^1754+539753660430*p^123*q^1756+ 2389709992984*p^121*q^1758+4592532276817*p^119*q^1760+3142820400174*p^117*q^ 1762+956104277458*p^115*q^1764+184227007584*p^113*q^1766+27560721466*p^111*q^ 1768+3415336802*p^109*q^1770+375533364*p^107*q^1772+36096242*p^105*q^1774+ 1551278*p^103*q^1776+20110*p^101*q^1778+8*p^140*q^1738+15370*p^136*q^1742+ 1106464*p^134*q^1744+9758458*p^132*q^1746+212588758*p^130*q^1748+2723830214*p^ 128*q^1750+27918325989*p^126*q^1752+209363813368*p^124*q^1754+1183144024247*p^ 122*q^1756+3736763319262*p^120*q^1758+4373725907968*p^118*q^1760+1954596799258* p^116*q^1762+460713834605*p^114*q^1764+77678226084*p^112*q^1766+10609577086*p^ 110*q^1768+1270022624*p^108*q^1770+115106455*p^106*q^1772+11100608*p^104*q^1774 +241550*p^102*q^1776+940*p^100*q^1778+56*p^139*q^1738+92*p^137*q^1740+158120*p^ 135*q^1742+3217716*p^133*q^1744+48910340*p^131*q^1746+710000430*p^129*q^1748+ 8680658304*p^127*q^1750+75513074837*p^125*q^1752+500362288210*p^123*q^1754+ 2278246441825*p^121*q^1756+4647660914040*p^119*q^1758+3339590798732*p^117*q^ 1760+1055906376210*p^115*q^1762+206324692498*p^113*q^1764+31344456874*p^111*q^ 1766+3908181423*p^109*q^1768+444502360*p^107*q^1770+40781224*p^105*q^1772+ 2409236*p^103*q^1774+41374*p^101*q^1776+4*p^140*q^1736+6210*p^136*q^1740+810918 *p^134*q^1742+8565644*p^132*q^1744+185727918*p^130*q^1746+2374601720*p^128*q^ 1748+25179196566*p^126*q^1750+191611739140*p^124*q^1752+1108348204668*p^122*q^ 1754+3651509007754*p^120*q^1756+4550941485420*p^118*q^1758+2117108182619*p^116* q^1760+513680060422*p^114*q^1762+87435739725*p^112*q^1764+12117720022*p^110*q^ 1766+1439099184*p^108*q^1768+135759438*p^106*q^1770+13619250*p^104*q^1772+ 273922*p^102*q^1774+1544*p^100*q^1776+120*p^139*q^1736+80*p^137*q^1738+108174*p ^135*q^1740+3426900*p^133*q^1742+39249360*p^131*q^1744+630617266*p^129*q^1746+ 7719972388*p^127*q^1748+68736260800*p^125*q^1750+462086532541*p^123*q^1752+ 2176952885470*p^121*q^1754+4669798654477*p^119*q^1756+3557725299022*p^117*q^ 1758+1158356604749*p^115*q^1760+231319736492*p^113*q^1762+35356494646*p^111*q^ 1764+4450305910*p^109*q^1766+515293904*p^107*q^1768+44131720*p^105*q^1770+ 3083570*p^103*q^1772+44084*p^101*q^1774+32*p^99*q^1776+316*p^138*q^1736+1760*p^ 136*q^1738+679298*p^134*q^1740+8344082*p^132*q^1742+164514559*p^130*q^1744+ 2105533756*p^128*q^1746+22723263432*p^126*q^1748+176201035420*p^124*q^1750+ 1034741909135*p^122*q^1752+3572101609036*p^120*q^1754+4696071187670*p^118*q^ 1756+2296024910386*p^116*q^1758+569294390973*p^114*q^1760+98541845146*p^112*q^ 1762+13791302320*p^110*q^1764+1643460332*p^108*q^1766+161352152*p^106*q^1768+ 16461048*p^104*q^1770+521228*p^102*q^1772+8032*p^100*q^1774+88*p^139*q^1734+ 66482*p^135*q^1738+3180490*p^133*q^1740+32430766*p^131*q^1742+560903676*p^129*q ^1744+6866532864*p^127*q^1746+62340339858*p^125*q^1748+427171213556*p^123*q^ 1750+2064471537513*p^121*q^1752+4696364153380*p^119*q^1754+3760660054692*p^117* q^1756+1275938621490*p^115*q^1758+258608302751*p^113*q^1760+40152629668*p^111*q ^1762+5116203375*p^109*q^1764+596140528*p^107*q^1766+50218300*p^105*q^1768+ 4256594*p^103*q^1770+43888*p^101*q^1772+36*p^99*q^1774+820*p^138*q^1734+2048*p^ 136*q^1736+570600*p^134*q^1738+8719107*p^132*q^1740+141172964*p^130*q^1742+ 1858464568*p^128*q^1744+20442536926*p^126*q^1746+161078443710*p^124*q^1748+ 966767527398*p^122*q^1750+3468034090777*p^120*q^1752+4855902475328*p^118*q^1754 +2477289864524*p^116*q^1756+633159939238*p^114*q^1758+110707136514*p^112*q^1760 +15696918356*p^110*q^1762+1853510002*p^108*q^1764+193142120*p^106*q^1766+ 18726861*p^104*q^1768+693820*p^102*q^1770+8324*p^100*q^1772+12*p^139*q^1732+936 *p^137*q^1734+24862*p^135*q^1736+2574054*p^133*q^1738+26846244*p^131*q^1740+ 499361716*p^129*q^1742+6052065908*p^127*q^1744+56657383210*p^125*q^1746+ 393527271086*p^123*q^1748+1962183122748*p^121*q^1750+4687050923683*p^119*q^1752 +3986638825820*p^117*q^1754+1395556447253*p^115*q^1756+289412808000*p^113*q^ 1758+45246189825*p^111*q^1760+5853690796*p^109*q^1762+683213128*p^107*q^1764+ 56611866*p^105*q^1766+5320940*p^103*q^1768+81120*p^101*q^1770+828*p^99*q^1772+ 976*p^138*q^1732+196*p^136*q^1734+413690*p^134*q^1736+9236524*p^132*q^1738+ 120048498*p^130*q^1740+1649339170*p^128*q^1742+18419167042*p^126*q^1744+ 147782165678*p^124*q^1746+899979496570*p^122*q^1748+3374123168612*p^120*q^1750+ 4977985488845*p^118*q^1752+2676195964946*p^116*q^1754+699917161315*p^114*q^1756 +124610002448*p^112*q^1758+17790918663*p^110*q^1760+2103932748*p^108*q^1762+ 227472002*p^106*q^1764+20406514*p^104*q^1766+1085690*p^102*q^1768+6572*p^100*q^ 1770+3272*p^137*q^1732+23384*p^135*q^1734+2371089*p^133*q^1736+24535268*p^131*q ^1738+445853622*p^129*q^1740+5388224562*p^127*q^1742+51289154578*p^125*q^1744+ 363115801850*p^123*q^1746+1852516309097*p^121*q^1748+4680110307068*p^119*q^1750 +4191375404570*p^117*q^1752+1532238635660*p^115*q^1754+323022105043*p^113*q^ 1756+51300905476*p^111*q^1758+6723192149*p^109*q^1760+790002536*p^107*q^1762+ 67922720*p^105*q^1764+7170508*p^103*q^1766+129380*p^101*q^1768+1866*p^99*q^1770 +308*p^138*q^1730+1850*p^136*q^1732+234470*p^134*q^1734+8335356*p^132*q^1736+ 98799942*p^130*q^1738+1453651794*p^128*q^1740+16464915148*p^126*q^1742+ 134698486841*p^124*q^1744+838063364536*p^122*q^1746+3256264781332*p^120*q^1748+ 5118449222128*p^118*q^1750+2874365275481*p^116*q^1752+777015329226*p^114*q^1754 +139747289057*p^112*q^1756+20196743388*p^110*q^1758+2399134790*p^108*q^1760+ 264871342*p^106*q^1762+22015342*p^104*q^1764+1337096*p^102*q^1766+9070*p^100*q^ 1768+24*p^98*q^1770+16*p^139*q^1728+5940*p^137*q^1730+7208*p^135*q^1732+1880250 *p^133*q^1734+24067521*p^131*q^1736+391843432*p^129*q^1738+4771312674*p^127*q^ 1740+46571373172*p^125*q^1742+334163769508*p^123*q^1744+1752824241950*p^121*q^ 1746+4641156712822*p^119*q^1748+4417100630124*p^117*q^1750+1670492311190*p^115* q^1752+360653623938*p^113*q^1754+57670842171*p^111*q^1756+7674796070*p^109*q^ 1758+879641430*p^107*q^1760+80164290*p^105*q^1762+8300856*p^103*q^1764+221540*p ^101*q^1766+608*p^99*q^1768+36*p^138*q^1728+8148*p^136*q^1730+169771*p^134*q^ 1732+7991416*p^132*q^1734+83012528*p^130*q^1736+1304126976*p^128*q^1738+ 14733991480*p^126*q^1740+123240179358*p^124*q^1742+777847261960*p^122*q^1744+ 3147358742574*p^120*q^1746+5213464603100*p^118*q^1748+3093605854946*p^116*q^ 1750+857034266061*p^114*q^1752+157198450216*p^112*q^1754+22897484322*p^110*q^ 1756+2753733642*p^108*q^1758+317802940*p^106*q^1760+24782356*p^104*q^1762+ 1999316*p^102*q^1764+18588*p^100*q^1766+296*p^98*q^1768+3660*p^137*q^1728+5764* p^135*q^1730+1404456*p^133*q^1732+23070908*p^131*q^1734+340654844*p^129*q^1736+ 4222307538*p^127*q^1738+42101907774*p^125*q^1740+307765198400*p^123*q^1742+ 1648553939288*p^121*q^1744+4604910462178*p^119*q^1746+4618975508938*p^117*q^ 1748+1827791261184*p^115*q^1750+401532361094*p^113*q^1752+65193983136*p^111*q^ 1754+8743427258*p^109*q^1756+996768438*p^107*q^1758+92995262*p^105*q^1760+ 9269302*p^103*q^1762+308440*p^101*q^1764+1074*p^99*q^1766+252*p^138*q^1726+ 20868*p^136*q^1728+99288*p^134*q^1730+7015329*p^132*q^1732+73350606*p^130*q^ 1734+1159131943*p^128*q^1736+13186459986*p^126*q^1738+112145728485*p^124*q^1740 +722410281528*p^122*q^1742+3021060021517*p^120*q^1744+5321829406812*p^118*q^ 1746+3307420124597*p^116*q^1748+948928894792*p^114*q^1750+176068546266*p^112*q^ 1752+25976701352*p^110*q^1754+3169679830*p^108*q^1756+368443056*p^106*q^1758+ 28923226*p^104*q^1760+2803288*p^102*q^1762+31784*p^100*q^1764+16*p^98*q^1766+ 1060*p^137*q^1726+14732*p^135*q^1728+972802*p^133*q^1730+22346756*p^131*q^1732+ 286384866*p^129*q^1734+3730754838*p^127*q^1736+38014194526*p^125*q^1738+ 282371219189*p^123*q^1740+1553300750744*p^121*q^1742+4536856456906*p^119*q^1744 +4841858117218*p^117*q^1746+1986346363945*p^115*q^1748+447961318074*p^113*q^ 1750+73289121638*p^111*q^1752+9940337654*p^109*q^1754+1115239804*p^107*q^1756+ 111933952*p^105*q^1758+9810532*p^103*q^1760+375892*p^101*q^1762+1686*p^99*q^ 1764+20*p^97*q^1766+28*p^138*q^1724+23652*p^136*q^1726+44778*p^134*q^1728+ 5912214*p^132*q^1730+65959786*p^130*q^1732+1040811618*p^128*q^1734+11784124025* p^126*q^1736+102523539004*p^124*q^1738+669064621652*p^122*q^1740+2904416180078* p^120*q^1742+5388700198541*p^118*q^1744+3541373626654*p^116*q^1746+ 1043765666515*p^114*q^1748+197434128248*p^112*q^1750+29300172768*p^110*q^1752+ 3646074518*p^108*q^1754+419547518*p^106*q^1756+31860266*p^104*q^1758+3517006*p^ 102*q^1760+71776*p^100*q^1762+148*p^98*q^1764+1812*p^137*q^1724+44772*p^135*q^ 1726+736606*p^133*q^1728+21744376*p^131*q^1730+247413112*p^129*q^1732+ 3326786810*p^127*q^1734+34272778376*p^125*q^1736+259611478568*p^123*q^1738+ 1454552399239*p^121*q^1740+4471675245302*p^119*q^1742+5032676301927*p^117*q^ 1744+2166019809002*p^115*q^1746+497781195851*p^113*q^1748+82833245196*p^111*q^ 1750+11347801054*p^109*q^1752+1274844604*p^107*q^1754+138313706*p^105*q^1756+ 11784982*p^103*q^1758+678984*p^101*q^1760+2540*p^99*q^1762+11776*p^136*q^1724+ 45250*p^134*q^1726+4570226*p^132*q^1728+60025008*p^130*q^1730+907372150*p^128*q ^1732+10467890386*p^126*q^1734+93016854677*p^124*q^1736+619755707998*p^122*q^ 1738+2771692048421*p^120*q^1740+5466172023052*p^118*q^1742+3770116153740*p^116* q^1744+1152822368582*p^114*q^1746+220778224370*p^112*q^1748+33204556350*p^110*q ^1750+4164879652*p^108*q^1752+471500642*p^106*q^1754+36299406*p^104*q^1756+ 3798524*p^102*q^1758+54678*p^100*q^1760+64*p^98*q^1762+820*p^137*q^1722+85232*p ^135*q^1724+389866*p^133*q^1726+19521972*p^131*q^1728+213363944*p^129*q^1730+ 2958700068*p^127*q^1732+30938243474*p^125*q^1734+237870468548*p^123*q^1736+ 1365849195722*p^121*q^1738+4377376261980*p^119*q^1740+5244167034968*p^117*q^ 1742+2345284387773*p^115*q^1744+553801961454*p^113*q^1746+92899782419*p^111*q^ 1748+12836092762*p^109*q^1750+1454338437*p^107*q^1752+164264088*p^105*q^1754+ 12287918*p^103*q^1756+1031110*p^101*q^1758+12978*p^99*q^1760+10*p^97*q^1762+ 10084*p^136*q^1722+72372*p^134*q^1724+3664694*p^132*q^1726+58717975*p^130*q^ 1728+795770568*p^128*q^1730+9334301226*p^126*q^1732+84779753072*p^124*q^1734+ 572555550833*p^122*q^1736+2651146411030*p^120*q^1738+5495152130581*p^118*q^1740 +4018550829090*p^116*q^1742+1264877811172*p^114*q^1744+247539859236*p^112*q^ 1746+37466560831*p^110*q^1748+4795537708*p^108*q^1750+526996804*p^106*q^1752+ 44514678*p^104*q^1754+4686582*p^102*q^1756+109272*p^100*q^1758+76*p^98*q^1760+ 96*p^137*q^1720+71378*p^135*q^1722+298310*p^133*q^1724+17184058*p^131*q^1726+ 184230209*p^129*q^1728+2649475262*p^127*q^1730+27803852690*p^125*q^1732+ 218167097964*p^123*q^1734+1275008728948*p^121*q^1736+4287525662956*p^119*q^1738 +5418964321207*p^117*q^1740+2547727776800*p^115*q^1742+614227108501*p^113*q^ 1744+104689283402*p^111*q^1746+14570062921*p^109*q^1748+1672348998*p^107*q^1750 +194188347*p^105*q^1752+13040112*p^103*q^1754+1283236*p^101*q^1756+10698*p^99*q ^1758+8272*p^136*q^1720+180960*p^134*q^1722+2546520*p^132*q^1724+55074128*p^130 *q^1726+691512176*p^128*q^1728+8295195332*p^126*q^1730+76759775628*p^124*q^1732 +529237335902*p^122*q^1734+2517485491442*p^120*q^1736+5538891029940*p^118*q^ 1738+4253884196653*p^116*q^1740+1393333050518*p^114*q^1742+276272275043*p^112*q ^1744+42420494706*p^110*q^1746+5470597514*p^108*q^1748+592101734*p^106*q^1750+ 54668218*p^104*q^1752+5393090*p^102*q^1754+209112*p^100*q^1756+1284*p^98*q^1758 +52*p^137*q^1718+53816*p^135*q^1720+207632*p^133*q^1722+14238245*p^131*q^1724+ 164559416*p^129*q^1726+2343108826*p^127*q^1728+24985986866*p^125*q^1730+ 199488287329*p^123*q^1732+1192483032242*p^121*q^1734+4171961619824*p^119*q^1736 +5612878537230*p^117*q^1738+2748460456662*p^115*q^1740+682241922812*p^113*q^ 1742+117293034248*p^111*q^1744+16489465124*p^109*q^1746+1919925651*p^107*q^1748 +219617928*p^105*q^1750+14115710*p^103*q^1752+1504172*p^101*q^1754+10656*p^99*q ^1756+2428*p^136*q^1718+248910*p^134*q^1720+1831162*p^132*q^1722+52051025*p^130 *q^1724+599524608*p^128*q^1726+7407970494*p^126*q^1728+69853595730*p^124*q^1730 +487841103391*p^122*q^1732+2395503245890*p^120*q^1734+5533434002052*p^118*q^ 1736+4512482781768*p^116*q^1738+1523787773633*p^114*q^1740+309040572018*p^112*q ^1742+47802443102*p^110*q^1744+6239118198*p^108*q^1746+662986918*p^106*q^1748+ 69815698*p^104*q^1750+5555916*p^102*q^1752+344014*p^100*q^1754+2592*p^98*q^1756 +4*p^137*q^1716+48644*p^135*q^1718+312118*p^133*q^1720+11685574*p^131*q^1722+ 151597080*p^129*q^1724+2088676376*p^127*q^1726+22395694172*p^125*q^1728+ 182614127958*p^123*q^1730+1109712927366*p^121*q^1732+4059913624558*p^119*q^1734 +5764143162536*p^117*q^1736+2974271655034*p^115*q^1738+754912757902*p^113*q^ 1740+132124555688*p^111*q^1742+18693878008*p^109*q^1744+2232080144*p^107*q^1746 +252292724*p^105*q^1748+16013484*p^103*q^1750+2126160*p^101*q^1752+27548*p^99*q ^1754+40*p^97*q^1756+1360*p^136*q^1716+230062*p^134*q^1718+1243998*p^132*q^1720 +46524212*p^130*q^1722+516244957*p^128*q^1724+6582533962*p^126*q^1726+ 63113317003*p^124*q^1728+449896638394*p^122*q^1730+2264785695103*p^120*q^1732+ 5538112280830*p^118*q^1734+4753507536785*p^116*q^1736+1673690227366*p^114*q^ 1738+344318463302*p^112*q^1740+53956205168*p^110*q^1742+7077765059*p^108*q^1744 +749697644*p^106*q^1746+82564238*p^104*q^1748+5776172*p^102*q^1750+387778*p^100 *q^1752+460*p^98*q^1754+4*p^137*q^1714+25832*p^135*q^1716+529162*p^133*q^1718+ 8930552*p^131*q^1720+140499316*p^129*q^1722+1832559435*p^127*q^1724+20095718566 *p^125*q^1726+166528974706*p^123*q^1728+1035011725746*p^121*q^1730+ 3926501422216*p^119*q^1732+5932625106656*p^117*q^1734+3195448144735*p^115*q^ 1736+836964256702*p^113*q^1738+147849587844*p^111*q^1740+21168450702*p^109*q^ 1742+2562385555*p^107*q^1744+278410020*p^105*q^1746+20679916*p^103*q^1748+ 2319366*p^101*q^1750+62624*p^99*q^1752+408*p^97*q^1754+180*p^136*q^1714+216064* p^134*q^1716+977476*p^132*q^1718+40860609*p^130*q^1720+454912756*p^128*q^1722+ 5893823499*p^126*q^1724+57197763782*p^124*q^1726+413993747324*p^122*q^1728+ 2145114984882*p^120*q^1730+5498577937758*p^118*q^1732+5013904839262*p^116*q^ 1734+1825369987135*p^114*q^1736+384526211780*p^112*q^1738+60670029909*p^110*q^ 1740+8043583118*p^108*q^1742+860391478*p^106*q^1744+99826336*p^104*q^1746+ 5338970*p^102*q^1748+614754*p^100*q^1750+2304*p^98*q^1752+16308*p^135*q^1714+ 665818*p^133*q^1716+6850390*p^131*q^1718+132308159*p^129*q^1720+1615424886*p^ 127*q^1722+17943457682*p^125*q^1724+152318373632*p^123*q^1726+960081540375*p^ 121*q^1728+3799819570910*p^119*q^1730+6053596732804*p^117*q^1732+3442903336866* p^115*q^1734+923931289001*p^113*q^1736+166227227984*p^111*q^1738+23983143161*p^ 109*q^1740+2955322994*p^107*q^1742+307865156*p^105*q^1744+26527696*p^103*q^1746 +2750100*p^101*q^1748+91224*p^99*q^1750+160*p^136*q^1712+156776*p^134*q^1714+ 1089407*p^132*q^1716+34448202*p^130*q^1718+400362932*p^128*q^1720+5241295536*p^ 126*q^1722+51609807444*p^124*q^1724+380715579930*p^122*q^1726+2018623182589*p^ 120*q^1728+5466805513258*p^118*q^1730+5253857870931*p^116*q^1732+1998747585234* p^114*q^1734+427747747471*p^112*q^1736+68466926178*p^110*q^1738+9109561754*p^ 108*q^1740+993499348*p^106*q^1742+116920892*p^104*q^1744+5741506*p^102*q^1746+ 777074*p^100*q^1748+6292*p^98*q^1750+28*p^96*q^1752+5120*p^135*q^1712+732178*p^ 133*q^1714+4824678*p^131*q^1716+120425590*p^129*q^1718+1404752993*p^127*q^1720+ 16066017120*p^125*q^1722+138483383425*p^123*q^1724+893090520596*p^121*q^1726+ 3653546356508*p^119*q^1728+6192998201978*p^117*q^1730+3683250768383*p^115*q^ 1732+1021689923526*p^113*q^1734+185746566644*p^111*q^1736+27095533770*p^109*q^ 1738+3358859831*p^107*q^1740+339605542*p^105*q^1742+32507602*p^103*q^1744+ 2495276*p^101*q^1746+121502*p^99*q^1748+96*p^97*q^1750+68*p^136*q^1710+116348*p ^134*q^1712+1346400*p^132*q^1714+28849241*p^130*q^1716+365749108*p^128*q^1718+ 4678231408*p^126*q^1720+46720134412*p^124*q^1722+349748219053*p^122*q^1724+ 1904516397990*p^120*q^1726+5391076981340*p^118*q^1728+5511413105026*p^116*q^ 1730+2172656290366*p^114*q^1732+476961385330*p^112*q^1734+76883843987*p^110*q^ 1736+10340863058*p^108*q^1738+1160876321*p^106*q^1740+131322886*p^104*q^1742+ 7317508*p^102*q^1744+1086732*p^100*q^1746+17836*p^98*q^1748+2*p^139*q^1706+2120 *p^135*q^1710+655884*p^133*q^1712+4142240*p^131*q^1714+109018158*p^129*q^1716+ 1231341104*p^127*q^1718+14358085409*p^125*q^1720+126239561872*p^123*q^1722+ 826108982195*p^121*q^1724+3515161958680*p^119*q^1726+6277483305294*p^117*q^1728 +3951909069402*p^115*q^1730+1125276963689*p^113*q^1732+208571733754*p^111*q^ 1734+30641665444*p^109*q^1736+3855106864*p^107*q^1738+379616334*p^105*q^1740+ 42717506*p^103*q^1742+2246338*p^101*q^1744+190842*p^99*q^1746+252*p^97*q^1748+4 *p^136*q^1708+63092*p^134*q^1710+1783548*p^132*q^1712+22038172*p^130*q^1714+ 332067508*p^128*q^1716+4143354118*p^126*q^1718+41958334241*p^124*q^1720+ 321200495266*p^122*q^1722+1785255590237*p^120*q^1724+5326684658440*p^118*q^1726 +5741206763330*p^116*q^1728+2371092704176*p^114*q^1730+529607044389*p^112*q^ 1732+86579608156*p^110*q^1734+11709879062*p^108*q^1736+1339147520*p^106*q^1738+ 145718996*p^104*q^1740+8652952*p^102*q^1742+1210648*p^100*q^1744+19144*p^98*q^ 1746+8*p^139*q^1704+1860*p^135*q^1708+549734*p^133*q^1710+3339868*p^131*q^1712+ 96424154*p^129*q^1714+1078652495*p^127*q^1716+12842404094*p^125*q^1718+ 114726915584*p^123*q^1720+766166785704*p^121*q^1722+3361946884601*p^119*q^1724+ 6380603470342*p^117*q^1726+4207544255472*p^115*q^1728+1241755033908*p^113*q^ 1730+232556425654*p^111*q^1732+34612286930*p^109*q^1734+4354274844*p^107*q^1736 +432192128*p^105*q^1738+50476624*p^103*q^1740+2167832*p^101*q^1742+296930*p^99* q^1744+2028*p^97*q^1746+28*p^138*q^1704+23708*p^134*q^1708+1979788*p^132*q^1710 +18213633*p^130*q^1712+305910126*p^128*q^1714+3664478231*p^126*q^1716+ 37895954618*p^124*q^1718+294195129654*p^122*q^1720+1677281971974*p^120*q^1722+ 5220169145145*p^118*q^1724+5988814203560*p^116*q^1726+2568970444376*p^114*q^ 1728+589420210898*p^112*q^1730+97247692551*p^110*q^1732+13288607618*p^108*q^ 1734+1553801301*p^106*q^1736+158844470*p^104*q^1738+12402084*p^102*q^1740+ 1140906*p^100*q^1742+32518*p^98*q^1744+320*p^135*q^1706+423220*p^133*q^1708+ 3687124*p^131*q^1710+81863766*p^129*q^1712+957912480*p^127*q^1714+11492214614*p ^125*q^1716+104323339106*p^123*q^1718+707377144903*p^121*q^1720+3217113950714*p ^119*q^1722+6426281127041*p^117*q^1724+4494000246144*p^115*q^1726+1363378366353 *p^113*q^1728+260827345302*p^111*q^1730+38987666281*p^109*q^1732+4966980820*p^ 107*q^1734+502662532*p^105*q^1736+60140674*p^103*q^1738+2106180*p^101*q^1740+ 460632*p^99*q^1742+3394*p^97*q^1744+130*p^138*q^1702+4*p^136*q^1704+21896*p^134 *q^1706+1878814*p^132*q^1708+14174216*p^130*q^1710+279247562*p^128*q^1712+ 3229784786*p^126*q^1714+33947242270*p^124*q^1716+269622905108*p^122*q^1718+ 1566736428317*p^120*q^1720+5122575802262*p^118*q^1722+6202333083688*p^116*q^ 1724+2793353856750*p^114*q^1726+653444778486*p^112*q^1728+109324372394*p^110*q^ 1730+15064353475*p^108*q^1732+1787017656*p^106*q^1734+170847892*p^104*q^1736+ 16153204*p^102*q^1738+1072486*p^100*q^1740+50382*p^98*q^1742+76*p^96*q^1744+156 *p^137*q^1702+136*p^135*q^1704+211376*p^133*q^1706+4484582*p^131*q^1708+ 68440630*p^129*q^1710+851342860*p^127*q^1712+10257564788*p^125*q^1714+ 94565390631*p^123*q^1716+654325620030*p^121*q^1718+3061530611720*p^119*q^1720+ 6488157093720*p^117*q^1722+4762123193564*p^115*q^1724+1501437916598*p^113*q^ 1726+290488694861*p^111*q^1728+43985645898*p^109*q^1730+5596758036*p^107*q^1732 +582122252*p^105*q^1734+68156638*p^103*q^1736+2782486*p^101*q^1738+469360*p^99* q^1740+3410*p^97*q^1742+6*p^138*q^1700+4*p^136*q^1702+8036*p^134*q^1704+1781216 *p^132*q^1706+11189334*p^130*q^1708+251355550*p^128*q^1710+2848795815*p^126*q^ 1712+30594645510*p^124*q^1714+246428683028*p^122*q^1716+1467112579074*p^120*q^ 1718+4991140848359*p^118*q^1720+6430568531478*p^116*q^1722+3015328274013*p^114* q^1724+725595799248*p^112*q^1726+122514133860*p^110*q^1728+17075255066*p^108*q^ 1730+2048032976*p^106*q^1732+189110092*p^104*q^1734+20503084*p^102*q^1736+ 708902*p^100*q^1738+125078*p^98*q^1740+520*p^96*q^1742+926*p^137*q^1700+108*p^ 135*q^1702+160788*p^133*q^1704+4915956*p^131*q^1706+58204987*p^129*q^1708+ 778402386*p^127*q^1710+9156700650*p^125*q^1712+85866235848*p^123*q^1714+ 602760635195*p^121*q^1716+2914617004172*p^119*q^1718+6492831422172*p^117*q^1720 +5058967888550*p^115*q^1722+1644181441664*p^113*q^1724+325262816324*p^111*q^ 1726+49565353915*p^109*q^1728+6381411016*p^107*q^1730+686055086*p^105*q^1732+ 75977154*p^103*q^1734+4241276*p^101*q^1736+591808*p^99*q^1738+4852*p^97*q^1740+ 16*p^138*q^1698+440*p^136*q^1700+3068*p^134*q^1702+1235246*p^132*q^1704+ 10668442*p^130*q^1706+219393745*p^128*q^1708+2494826570*p^126*q^1710+ 27355671797*p^124*q^1712+225275373692*p^122*q^1714+1364820254455*p^120*q^1716+ 4868284095894*p^118*q^1718+6619960761995*p^116*q^1720+3267447255064*p^114*q^ 1722+802672917711*p^112*q^1724+137738340018*p^110*q^1726+19299535794*p^108*q^ 1728+2332589954*p^106*q^1730+211895300*p^104*q^1732+25181606*p^102*q^1734+ 575036*p^100*q^1736+137492*p^98*q^1738+172*p^96*q^1740+302*p^137*q^1698+108*p^ 135*q^1700+96008*p^133*q^1702+5208296*p^131*q^1704+45652234*p^129*q^1706+ 701514108*p^127*q^1708+8152763086*p^125*q^1710+77640294196*p^123*q^1712+ 556436653222*p^121*q^1714+2760672477639*p^119*q^1716+6512500483638*p^117*q^1718 +5336194713192*p^115*q^1720+1804407437574*p^113*q^1722+361775245798*p^111*q^ 1724+55731575842*p^109*q^1726+7200435891*p^107*q^1728+794231228*p^105*q^1730+ 79797828*p^103*q^1732+5573002*p^101*q^1734+435050*p^99*q^1736+21976*p^97*q^1738 +36*p^95*q^1740+3700*p^136*q^1698+1504*p^134*q^1700+891360*p^132*q^1702+ 11190535*p^130*q^1704+195589428*p^128*q^1706+2220662176*p^126*q^1708+ 24657298234*p^124*q^1710+205571379915*p^122*q^1712+1274318895856*p^120*q^1714+ 4711824951180*p^118*q^1716+6822663093414*p^116*q^1718+3512215376089*p^114*q^ 1720+890098094018*p^112*q^1722+154058354671*p^110*q^1724+21885495896*p^108*q^ 1726+2655100446*p^106*q^1728+246051494*p^104*q^1730+30829628*p^102*q^1732+ 895026*p^100*q^1734+218142*p^98*q^1736+228*p^96*q^1738+252*p^137*q^1696+684*p^ 135*q^1698+42512*p^133*q^1700+4723288*p^131*q^1702+37565513*p^129*q^1704+ 631129670*p^127*q^1706+7224524792*p^125*q^1708+70195439356*p^123*q^1710+ 511249532376*p^121*q^1712+2616096144826*p^119*q^1714+6474282775637*p^117*q^1716 +5639625824972*p^115*q^1718+1971718243006*p^113*q^1720+404289750494*p^111*q^ 1722+62768265064*p^109*q^1724+8205655604*p^107*q^1726+927183709*p^105*q^1728+ 85335366*p^103*q^1730+7524122*p^101*q^1732+236896*p^99*q^1734+31176*p^97*q^1736 +3320*p^136*q^1696+1728*p^134*q^1698+668018*p^132*q^1700+12201492*p^130*q^1702+ 165714751*p^128*q^1704+1984541678*p^126*q^1706+22036839787*p^124*q^1708+ 187698704484*p^122*q^1710+1182405679914*p^120*q^1712+4569597599920*p^118*q^1714 +6976553651710*p^116*q^1716+3790833698378*p^114*q^1718+981999462290*p^112*q^ 1720+172936113712*p^110*q^1722+24641116491*p^108*q^1724+3004880222*p^106*q^1726 +285926838*p^104*q^1728+35330508*p^102*q^1730+1222242*p^100*q^1732+253768*p^98* q^1734+2072*p^96*q^1736+30*p^137*q^1694+8804*p^135*q^1696+21464*p^133*q^1698+ 3772606*p^131*q^1700+31582630*p^129*q^1702+569882487*p^127*q^1704+6386865530*p^ 125*q^1706+63317558628*p^123*q^1708+470639405488*p^121*q^1710+2466509821103*p^ 119*q^1712+6452382076452*p^117*q^1714+5915632451285*p^115*q^1716+2158120924626* p^113*q^1718+449223685758*p^111*q^1720+70610565448*p^109*q^1722+9302373180*p^ 107*q^1724+1067932816*p^105*q^1726+91666736*p^103*q^1728+9573800*p^101*q^1730+ 184108*p^99*q^1732+45914*p^97*q^1734+2024*p^136*q^1694+1248*p^134*q^1696+383820 *p^132*q^1698+12824180*p^130*q^1700+140498266*p^128*q^1702+1767727935*p^126*q^ 1704+19827075358*p^124*q^1706+170896534794*p^122*q^1708+1100373910898*p^120*q^ 1710+4399831084254*p^118*q^1712+7146721589046*p^116*q^1714+4057597755674*p^114* q^1716+1086511522946*p^112*q^1718+193170453213*p^110*q^1720+27830363028*p^108*q ^1722+3381789868*p^106*q^1724+336575080*p^104*q^1726+37950658*p^102*q^1728+ 1872674*p^100*q^1730+166770*p^98*q^1732+5868*p^96*q^1734+16694*p^135*q^1694+ 16738*p^133*q^1696+3147324*p^131*q^1698+30337184*p^129*q^1700+510309842*p^127*q ^1702+5687044610*p^125*q^1704+57202821144*p^123*q^1706+431523102678*p^121*q^ 1708+2326879718022*p^119*q^1710+6372364092575*p^117*q^1712+6219283177514*p^115* q^1714+2349325486523*p^113*q^1716+501267061028*p^111*q^1718+79409667015*p^109*q ^1720+10609400366*p^107*q^1722+1240052394*p^105*q^1724+102852312*p^103*q^1726+ 12971862*p^101*q^1728+218792*p^99*q^1730+95946*p^97*q^1732+72*p^95*q^1734+1042* p^136*q^1692+12600*p^134*q^1694+229920*p^132*q^1696+11871124*p^130*q^1698+ 114461408*p^128*q^1700+1584731594*p^126*q^1702+17634729897*p^124*q^1704+ 155517420422*p^122*q^1706+1018309408059*p^120*q^1708+4239749962190*p^118*q^1710 +7264336312206*p^116*q^1712+4360968808202*p^114*q^1714+1196513379726*p^112*q^ 1716+216617404864*p^110*q^1718+31316521043*p^108*q^1720+3843797790*p^106*q^1722 +393242266*p^104*q^1724+39824324*p^102*q^1726+2304938*p^100*q^1728+95598*p^98*q ^1730+4708*p^96*q^1732+4*p^137*q^1690+11966*p^135*q^1692+10752*p^133*q^1694+ 2257262*p^131*q^1696+30365410*p^129*q^1698+449403140*p^127*q^1700+5042343444*p^ 125*q^1702+51519575348*p^123*q^1704+396711817020*p^121*q^1706+2184772594686*p^ 119*q^1708+6309115302862*p^117*q^1710+6487543333954*p^115*q^1712+2564224373832* p^113*q^1714+555674015532*p^111*q^1716+89153829028*p^109*q^1718+11986428855*p^ 107*q^1720+1392716234*p^105*q^1722+115868460*p^103*q^1724+15468952*p^101*q^1726 +376970*p^99*q^1728+87596*p^97*q^1730+756*p^95*q^1732+44*p^136*q^1690+45600*p^ 134*q^1692+133198*p^132*q^1694+10903460*p^130*q^1696+97130402*p^128*q^1698+ 1432455337*p^126*q^1700+15799455442*p^124*q^1702+141295903970*p^122*q^1704+ 944876189614*p^120*q^1706+4060852994798*p^118*q^1708+7390678880378*p^116*q^1710 +4648818492842*p^114*q^1712+1320927867150*p^112*q^1714+241727377125*p^110*q^ 1716+35392596164*p^108*q^1718+4362080239*p^106*q^1720+472717348*p^104*q^1722+ 42064558*p^102*q^1724+3420280*p^100*q^1726+41214*p^98*q^1728+21600*p^96*q^1730+ 10650*p^135*q^1690+14924*p^133*q^1692+1607682*p^131*q^1694+30216649*p^129*q^ 1696+391561610*p^127*q^1698+4474333375*p^125*q^1700+46481104606*p^123*q^1702+ 362953170371*p^121*q^1704+2053465815868*p^119*q^1706+6191927211625*p^117*q^1708 +6780440123794*p^115*q^1710+2782141315573*p^113*q^1712+618925287234*p^111*q^ 1714+100096613238*p^109*q^1716+13592460928*p^107*q^1718+1579924918*p^105*q^1720 +133411066*p^103*q^1722+17438190*p^101*q^1724+513662*p^99*q^1726+74394*p^97*q^ 1728+152*p^95*q^1730+108*p^136*q^1688+49770*p^134*q^1690+98664*p^132*q^1692+ 9131940*p^130*q^1694+85920379*p^128*q^1696+1285240958*p^126*q^1698+14065622366* p^124*q^1700+128285002638*p^122*q^1702+871831513167*p^120*q^1704+3892377069294* p^118*q^1706+7464034461279*p^116*q^1708+4972636899118*p^114*q^1710+ 1451365304906*p^112*q^1712+270745887754*p^110*q^1714+39801597951*p^108*q^1716+ 4987613980*p^106*q^1718+552389380*p^104*q^1720+44674918*p^102*q^1722+4893094*p^ 100*q^1724+53102*p^98*q^1726+28594*p^96*q^1728+44*p^94*q^1730+2292*p^135*q^1688 +72532*p^133*q^1690+973712*p^131*q^1692+29537020*p^129*q^1694+329193951*p^127*q ^1696+3988333202*p^125*q^1698+41686500944*p^123*q^1700+332788055482*p^121*q^ 1702+1920549568279*p^119*q^1704+6091630293100*p^117*q^1706+7034019186697*p^115* q^1708+3026139110936*p^113*q^1710+685171406482*p^111*q^1712+112372396402*p^109* q^1714+15303419035*p^107*q^1716+1768742302*p^105*q^1718+157835400*p^103*q^1720+ 18533500*p^101*q^1722+622162*p^99*q^1724+24976*p^97*q^1726+2584*p^95*q^1728+8*p ^136*q^1686+56070*p^134*q^1688+63812*p^132*q^1690+7532680*p^130*q^1692+78912432 *p^128*q^1694+1160102571*p^126*q^1696+12578107348*p^124*q^1698+116402048569*p^ 122*q^1700+807435422272*p^120*q^1702+3707785141812*p^118*q^1704+7547561482758*p ^116*q^1706+5275356761854*p^114*q^1708+1598007837186*p^112*q^1710+301585748124* p^110*q^1712+44831873600*p^108*q^1714+5678321705*p^106*q^1716+638045178*p^104*q ^1718+46974038*p^102*q^1720+6358882*p^100*q^1722+114518*p^98*q^1724+37066*p^96* q^1726+1510*p^135*q^1686+130762*p^133*q^1688+689902*p^131*q^1690+27695016*p^129 *q^1692+285504270*p^127*q^1694+3565235354*p^125*q^1696+37553525996*p^123*q^1698 +303784718451*p^121*q^1700+1798085345640*p^119*q^1702+5940128589246*p^117*q^ 1704+7308200184524*p^115*q^1706+3272430281301*p^113*q^1708+762015297384*p^111*q ^1710+126037889010*p^109*q^1712+17382057688*p^107*q^1714+2008660604*p^105*q^ 1716+194588598*p^103*q^1718+20572892*p^101*q^1720+1107578*p^99*q^1722+5204*p^97 *q^1724+5920*p^95*q^1726+29344*p^134*q^1686+93262*p^132*q^1688+5502608*p^130*q^ 1690+74281512*p^128*q^1692+1015720528*p^126*q^1694+11145794966*p^124*q^1696+ 105385678276*p^122*q^1698+743030489119*p^120*q^1700+3536178983084*p^118*q^1702+ 7570921791659*p^116*q^1704+5617593984812*p^114*q^1706+1751296515169*p^112*q^ 1708+337160303138*p^110*q^1710+50401301885*p^108*q^1712+6444303194*p^106*q^1714 +722780018*p^104*q^1716+50818708*p^102*q^1718+7130540*p^100*q^1720+89760*p^98*q ^1722+23222*p^96*q^1724+114*p^94*q^1726+478*p^135*q^1684+180820*p^133*q^1686+ 481252*p^131*q^1688+25061498*p^129*q^1690+244787820*p^127*q^1692+3213062402*p^ 125*q^1694+33673520089*p^123*q^1696+278092487880*p^121*q^1698+1676296811752*p^ 119*q^1700+5808866719888*p^117*q^1702+7534408868991*p^115*q^1704+3546537465446* p^113*q^1706+841745238687*p^111*q^1708+141373838640*p^109*q^1710+19508302205*p^ 107*q^1712+2283695504*p^105*q^1714+233063756*p^103*q^1716+20377872*p^101*q^1718 +1738618*p^99*q^1720+19794*p^97*q^1722+10050*p^95*q^1724+14038*p^134*q^1684+ 215560*p^132*q^1686+3876890*p^130*q^1688+71714526*p^128*q^1690+896117764*p^126* q^1692+9945525828*p^124*q^1694+95359477958*p^122*q^1696+686092295824*p^120*q^ 1698+3351950705276*p^118*q^1700+7605354752526*p^116*q^1702+5930305518831*p^114* q^1704+1923990466724*p^112*q^1706+375304993492*p^110*q^1708+56794565138*p^108*q ^1710+7333834758*p^106*q^1712+813738340*p^104*q^1714+60135460*p^102*q^1716+ 8691392*p^100*q^1718+170944*p^98*q^1720+2466*p^96*q^1722+788*p^94*q^1724+44*p^ 135*q^1682+168488*p^133*q^1684+334486*p^131*q^1686+21977838*p^129*q^1688+ 215453036*p^127*q^1690+2878132313*p^125*q^1692+30265682602*p^123*q^1694+ 253319635838*p^121*q^1696+1564379552222*p^119*q^1698+5631325532618*p^117*q^1700 +7783688210058*p^115*q^1702+3819204734732*p^113*q^1704+934188200432*p^111*q^ 1706+158194164783*p^109*q^1708+22049619502*p^107*q^1710+2599037419*p^105*q^1712 +279057268*p^103*q^1714+19984970*p^101*q^1716+2237142*p^99*q^1718+16902*p^97*q^ 1720+13724*p^95*q^1722+4*p^136*q^1680+8606*p^134*q^1682+378822*p^132*q^1684+ 2913602*p^130*q^1686+67269437*p^128*q^1688+780655524*p^126*q^1690+8859248540*p^ 124*q^1692+86168289156*p^122*q^1694+630216820872*p^120*q^1696+3180134745252*p^ 118*q^1698+7579404823274*p^116*q^1700+6281247495142*p^114*q^1702+2102802759631* p^112*q^1704+419109894620*p^110*q^1706+63818253607*p^108*q^1708+8338694756*p^ 106*q^1710+918287903*p^104*q^1712+73003576*p^102*q^1714+9775220*p^100*q^1716+ 328008*p^98*q^1718+1908*p^96*q^1720+1288*p^94*q^1722+44*p^135*q^1680+97308*p^ 133*q^1682+339848*p^131*q^1684+17069038*p^129*q^1686+193219612*p^127*q^1688+ 2565228210*p^125*q^1690+26996191444*p^123*q^1692+231286631288*p^121*q^1694+ 1453391945694*p^119*q^1696+5471366698872*p^117*q^1698+7976961984250*p^115*q^ 1700+4125822731592*p^113*q^1702+1030173911136*p^111*q^1704+177225371834*p^109*q ^1706+24764368582*p^107*q^1708+2959813970*p^105*q^1710+319065086*p^103*q^1712+ 19920720*p^101*q^1714+2721288*p^99*q^1716+16076*p^97*q^1718+2922*p^95*q^1720+52 *p^93*q^1722+1478*p^134*q^1680+532144*p^132*q^1682+2072650*p^130*q^1684+ 64313774*p^128*q^1686+679361057*p^126*q^1688+7953986252*p^124*q^1690+ 77908855764*p^122*q^1692+580707018202*p^120*q^1694+3002489848106*p^118*q^1696+ 7564439816018*p^116*q^1698+6596623896422*p^114*q^1700+2302888762314*p^112*q^ 1702+465490359211*p^110*q^1704+71829040464*p^108*q^1706+9401428936*p^106*q^1708 +1031197232*p^104*q^1710+92996586*p^102*q^1712+9725912*p^100*q^1714+556592*p^98 *q^1716+3800*p^96*q^1718+4638*p^94*q^1720+68*p^135*q^1678+74696*p^133*q^1680+ 583476*p^131*q^1682+13685264*p^129*q^1684+178349230*p^127*q^1686+2294906459*p^ 125*q^1688+24208877238*p^123*q^1690+210172752251*p^121*q^1692+1352063626366*p^ 119*q^1694+5273892530298*p^117*q^1696+8184547126388*p^115*q^1698+4425736729753* p^113*q^1700+1141432056958*p^111*q^1702+198277468431*p^109*q^1704+28007367290*p ^107*q^1706+3407994471*p^105*q^1708+372185774*p^103*q^1710+21293069*p^101*q^ 1712+3826868*p^99*q^1714+40884*p^97*q^1716+64*p^95*q^1718+52*p^93*q^1720+1192*p ^134*q^1678+439944*p^132*q^1680+1399884*p^130*q^1682+57171958*p^128*q^1684+ 589212468*p^126*q^1686+7070241690*p^124*q^1688+70248446424*p^122*q^1690+ 531971421636*p^120*q^1692+2836050440022*p^118*q^1694+7491073992115*p^116*q^1696 +6951818656974*p^114*q^1698+2509383824778*p^112*q^1700+519029222322*p^110*q^ 1702+80546934724*p^108*q^1704+10618820798*p^106*q^1706+1158947364*p^104*q^1708+ 111121320*p^102*q^1710+9307148*p^100*q^1712+654468*p^98*q^1714+684*p^96*q^1716+ 2136*p^94*q^1718+8*p^135*q^1676+25284*p^133*q^1678+1039302*p^131*q^1680+ 10498706*p^129*q^1682+164777408*p^127*q^1684+2026882092*p^125*q^1686+ 21634828187*p^123*q^1688+191453653554*p^121*q^1690+1252423043163*p^119*q^1692+ 5094847048416*p^117*q^1694+8337734261900*p^115*q^1696+4758210346774*p^113*q^ 1698+1256237124831*p^111*q^1700+221883091388*p^109*q^1702+31456681356*p^107*q^ 1704+3884049628*p^105*q^1706+415555016*p^103*q^1708+26184030*p^101*q^1710+ 4276692*p^99*q^1712+94636*p^97*q^1714+560*p^95*q^1716+826*p^93*q^1718+614*p^134 *q^1676+389508*p^132*q^1678+1232884*p^130*q^1680+49610196*p^128*q^1682+ 521442682*p^126*q^1684+6372045842*p^124*q^1686+63249709133*p^122*q^1688+ 489271072880*p^120*q^1690+2664982668375*p^118*q^1692+7428526654814*p^116*q^1694 +7261750387595*p^114*q^1696+2741062401634*p^112*q^1698+575611351116*p^110*q^ 1700+90570031464*p^108*q^1702+11973005582*p^106*q^1704+1324011732*p^104*q^1706+ 136202717*p^102*q^1708+8073890*p^100*q^1710+1040472*p^98*q^1712+3264*p^96*q^ 1714+15780*p^133*q^1676+1225410*p^131*q^1678+7801522*p^129*q^1680+155712832*p^ 127*q^1682+1789329664*p^125*q^1684+19355424836*p^123*q^1686+173812568419*p^121* q^1688+1161879608092*p^119*q^1690+4882365059412*p^117*q^1692+8502091037554*p^ 115*q^1694+5083394177919*p^113*q^1696+1388341045278*p^111*q^1698+247773062484*p ^109*q^1700+35570851536*p^107*q^1702+4425702793*p^105*q^1704+466137736*p^103*q^ 1706+33127704*p^101*q^1708+4832624*p^99*q^1710+142804*p^97*q^1712+936*p^93*q^ 1716+4*p^138*q^1670+432*p^134*q^1674+225428*p^132*q^1676+1699198*p^130*q^1678+ 41416434*p^128*q^1680+461225352*p^126*q^1682+5668437543*p^124*q^1684+ 56969578712*p^122*q^1686+447008736650*p^120*q^1688+2507432047518*p^118*q^1690+ 7306969597718*p^116*q^1692+7609684040068*p^114*q^1694+2977893217242*p^112*q^ 1696+640836015694*p^110*q^1698+101506079518*p^108*q^1700+13491008774*p^106*q^ 1702+1517120741*p^104*q^1704+160945468*p^102*q^1706+7681516*p^100*q^1708+ 1381270*p^98*q^1710+8848*p^96*q^1712+36*p^94*q^1714+60*p^92*q^1716+7120*p^133*q ^1674+1308674*p^131*q^1676+5481398*p^129*q^1678+143201808*p^127*q^1680+ 1571989480*p^125*q^1682+17295752036*p^123*q^1684+157870135254*p^121*q^1686+ 1073491202148*p^119*q^1688+4691464709230*p^117*q^1690+8602449828661*p^115*q^ 1692+5443745747516*p^113*q^1694+1524540282126*p^111*q^1696+277029885528*p^109*q ^1698+39914739358*p^107*q^1700+5018628120*p^105*q^1702+515640998*p^103*q^1704+ 41177566*p^101*q^1706+4324304*p^99*q^1708+192672*p^97*q^1710+128*p^95*q^1712+40 *p^134*q^1672+128806*p^132*q^1674+2304830*p^130*q^1676+33975182*p^128*q^1678+ 415955079*p^126*q^1680+5082019020*p^124*q^1682+51211809147*p^122*q^1684+ 410184584550*p^120*q^1686+2347514590966*p^118*q^1688+7200678986902*p^116*q^1690 +7903189731248*p^114*q^1692+3241694493196*p^112*q^1694+709835458433*p^110*q^ 1696+113974611228*p^108*q^1698+15192380514*p^106*q^1700+1749023716*p^104*q^1702 +185429734*p^102*q^1704+8815898*p^100*q^1706+1915362*p^98*q^1708+26000*p^96*q^ 1710+242*p^92*q^1714+60*p^137*q^1668+5344*p^133*q^1672+1117144*p^131*q^1674+ 4772510*p^129*q^1676+129957032*p^127*q^1678+1386870231*p^125*q^1680+15522336274 *p^123*q^1682+142909760259*p^121*q^1684+993156641684*p^119*q^1686+4472847855679 *p^117*q^1688+8718280211348*p^115*q^1690+5786553617458*p^113*q^1692+ 1681608860718*p^111*q^1694+308860100953*p^109*q^1696+45093841716*p^107*q^1698+ 5686806064*p^105*q^1700+581434102*p^103*q^1702+53751008*p^101*q^1704+3644934*p^ 99*q^1706+311378*p^97*q^1708+336*p^95*q^1710+40*p^134*q^1670+78066*p^132*q^1672 +2921742*p^130*q^1674+25991424*p^128*q^1676+380179756*p^126*q^1678+4511828031*p ^124*q^1680+45975276968*p^122*q^1682+374207874095*p^120*q^1684+2199063920802*p^ 118*q^1686+7039464646739*p^116*q^1688+8234408803682*p^114*q^1690+3509457764231* p^112*q^1692+789022452046*p^110*q^1694+127588681628*p^108*q^1696+17150487266*p^ 106*q^1698+2005695090*p^104*q^1700+209162136*p^102*q^1702+10369162*p^100*q^1704 +2146924*p^98*q^1706+29020*p^96*q^1708+12*p^137*q^1666+4*p^135*q^1668+1560*p^ 133*q^1670+735862*p^131*q^1672+4617306*p^129*q^1674+114182242*p^127*q^1676+ 1215470966*p^125*q^1678+13839637022*p^123*q^1680+129620900828*p^121*q^1682+ 914828942423*p^119*q^1684+4274337519514*p^117*q^1686+8766330655652*p^115*q^1688 +6169778484952*p^113*q^1690+1842065900469*p^111*q^1692+344774190172*p^109*q^ 1694+50598137944*p^107*q^1696+6398090262*p^105*q^1698+655097090*p^103*q^1700+ 64678132*p^101*q^1702+2976050*p^99*q^1704+499378*p^97*q^1706+2756*p^95*q^1708+ 34*p^91*q^1712+364*p^136*q^1666+41900*p^132*q^1670+3345704*p^130*q^1672+ 20387866*p^128*q^1674+351330894*p^126*q^1676+4026178966*p^124*q^1678+ 41355380258*p^122*q^1680+342545542032*p^120*q^1682+2052331808375*p^118*q^1684+ 6891506849172*p^116*q^1686+8503253214908*p^114*q^1688+3808089341590*p^112*q^ 1690+871985225159*p^110*q^1692+143234171856*p^108*q^1694+19306677440*p^106*q^ 1696+2307898648*p^104*q^1698+232064591*p^102*q^1700+14542156*p^100*q^1702+ 2029506*p^98*q^1704+48010*p^96*q^1706+1068*p^133*q^1668+551768*p^131*q^1670+ 5368818*p^129*q^1672+97841018*p^127*q^1674+1076821829*p^125*q^1676+12421067206* p^123*q^1678+117014841095*p^121*q^1680+844383217354*p^119*q^1682+4054823306163* p^117*q^1684+8822580681198*p^115*q^1686+6527974677980*p^113*q^1688+ 2026530439742*p^111*q^1690+384091494922*p^109*q^1692+57034703652*p^107*q^1694+ 7224580230*p^105*q^1696+757888622*p^103*q^1698+78995518*p^101*q^1700+2575790*p^ 99*q^1702+779620*p^97*q^1704+4866*p^95*q^1706+288*p^136*q^1664+68*p^134*q^1666+ 25478*p^132*q^1668+2833704*p^130*q^1670+16353688*p^128*q^1672+321749990*p^126*q ^1674+3558310383*p^124*q^1676+37076472568*p^122*q^1678+311701504751*p^120*q^ 1680+1916353297200*p^118*q^1682+6697345471936*p^116*q^1684+8805328031972*p^114* q^1686+4108002200249*p^112*q^1688+968065865376*p^110*q^1690+160029119103*p^108* q^1692+21826668852*p^106*q^1694+2628597600*p^104*q^1696+254501470*p^102*q^1698+ 18667262*p^100*q^1700+1794790*p^98*q^1702+79898*p^96*q^1704+100*p^94*q^1706+2*p ^90*q^1710+1144*p^135*q^1664+144*p^133*q^1666+293220*p^131*q^1668+6825832*p^129 *q^1670+79763908*p^127*q^1672+960430452*p^125*q^1674+11083983019*p^123*q^1676+ 105884316072*p^121*q^1678+776094320124*p^119*q^1680+3855544260012*p^117*q^1682+ 8814747833694*p^115*q^1684+6923860559862*p^113*q^1686+2214885754068*p^111*q^ 1688+428109086430*p^109*q^1690+63919877513*p^107*q^1692+8108786848*p^105*q^1694 +869132827*p^103*q^1696+90834276*p^101*q^1698+3176530*p^99*q^1700+827472*p^97*q ^1702+4538*p^95*q^1704+12*p^136*q^1662+8*p^134*q^1664+13450*p^132*q^1666+ 2484378*p^130*q^1668+13977582*p^128*q^1670+293035480*p^126*q^1672+3159445340*p^ 124*q^1674+33254301220*p^122*q^1676+284768862358*p^120*q^1678+1781586291698*p^ 118*q^1680+6518969410634*p^116*q^1682+9039370923259*p^114*q^1684+4440299325636* p^112*q^1686+1067989943251*p^110*q^1688+179462484412*p^108*q^1690+24601806600*p ^106*q^1692+2992478176*p^104*q^1694+282814524*p^102*q^1696+24522534*p^100*q^ 1698+1091290*p^98*q^1700+196116*p^96*q^1702+688*p^94*q^1704+2344*p^135*q^1662+ 544*p^133*q^1664+217808*p^131*q^1666+7311676*p^129*q^1668+66161590*p^127*q^1670 +869149577*p^125*q^1672+9941465422*p^123*q^1674+95541689214*p^121*q^1676+ 714568954816*p^119*q^1678+3640528395373*p^117*q^1680+8814339765178*p^115*q^1682 +7288560329205*p^113*q^1684+2430151213548*p^111*q^1686+476166000725*p^109*q^ 1688+71999996918*p^107*q^1690+9148676421*p^105*q^1692+1016344046*p^103*q^1694+ 104150537*p^101*q^1696+4488656*p^99*q^1698+1014476*p^97*q^1700+7236*p^95*q^1702 +4*p^136*q^1660+1980*p^134*q^1662+5418*p^132*q^1664+1674314*p^130*q^1666+ 14076456*p^128*q^1668+257378868*p^126*q^1670+2774279445*p^124*q^1672+ 29790592274*p^122*q^1674+258334598854*p^120*q^1676+1658077843982*p^118*q^1678+ 6295205932779*p^116*q^1680+9304456839978*p^114*q^1682+4772785515955*p^112*q^ 1684+1183026162582*p^110*q^1686+200407537153*p^108*q^1688+27781570894*p^106*q^ 1690+3371002409*p^104*q^1692+317536840*p^102*q^1694+30342332*p^100*q^1696+ 757424*p^98*q^1698+228120*p^96*q^1700+204*p^94*q^1702+596*p^135*q^1660+392*p^ 133*q^1662+123354*p^131*q^1664+7453484*p^129*q^1666+52894958*p^127*q^1668+ 791335274*p^125*q^1670+8859353038*p^123*q^1672+86321040048*p^121*q^1674+ 655383178763*p^119*q^1676+3446964519364*p^117*q^1678+8748061443748*p^115*q^1680 +7692837980588*p^113*q^1682+2647768480406*p^111*q^1684+530323184194*p^109*q^ 1686+80551314253*p^107*q^1688+10288867430*p^105*q^1690+1170734667*p^103*q^1692+ 112331826*p^101*q^1694+6043430*p^99*q^1696+772184*p^97*q^1698+32080*p^95*q^1700 +44*p^93*q^1702+9072*p^134*q^1660+3154*p^132*q^1662+1231212*p^130*q^1664+ 15071826*p^128*q^1666+225002555*p^126*q^1668+2468265776*p^124*q^1670+ 26732312425*p^122*q^1672+235421571618*p^120*q^1674+1536808969628*p^118*q^1676+ 6090613203498*p^116*q^1678+9490373214883*p^114*q^1680+5138699722942*p^112*q^ 1682+1303344311781*p^110*q^1684+224329765382*p^108*q^1686+31293843313*p^106*q^ 1688+3812309406*p^104*q^1690+364111312*p^102*q^1692+37978736*p^100*q^1694+ 914494*p^98*q^1696+359010*p^96*q^1698+308*p^94*q^1700+172*p^135*q^1658+1876*p^ 133*q^1660+72500*p^131*q^1662+6535264*p^129*q^1664+44618896*p^127*q^1666+ 717800990*p^125*q^1668+7905325246*p^123*q^1670+77635193308*p^121*q^1672+ 602063910126*p^119*q^1674+3240686469027*p^117*q^1676+8694253144392*p^115*q^1678 +8053753622426*p^113*q^1680+2897727261986*p^111*q^1682+588605669692*p^109*q^ 1684+90692207634*p^107*q^1686+11637185007*p^105*q^1688+1350394820*p^103*q^1690+ 123542978*p^101*q^1692+8238998*p^99*q^1694+422248*p^97*q^1696+47168*p^95*q^1698 +6716*p^134*q^1658+5028*p^132*q^1660+848572*p^130*q^1662+16614828*p^128*q^1664+ 190553324*p^126*q^1666+2195407487*p^124*q^1668+23960728706*p^122*q^1670+ 213439212259*p^120*q^1672+1425821378348*p^118*q^1674+5849138663167*p^116*q^1676 +9705735668268*p^114*q^1678+5498614507369*p^112*q^1680+1440687943482*p^110*q^ 1682+250288846468*p^108*q^1684+35261564052*p^106*q^1686+4266489778*p^104*q^1688 +425319658*p^102*q^1690+44334316*p^100*q^1692+1202310*p^98*q^1694+432448*p^96*q ^1696+2856*p^94*q^1698+16*p^135*q^1656+18520*p^133*q^1658+29610*p^131*q^1660+ 5124892*p^129*q^1662+38532654*p^127*q^1664+649251504*p^125*q^1666+7002131144*p^ 123*q^1668+69957173278*p^121*q^1670+550438607128*p^119*q^1672+3053626181726*p^ 117*q^1674+8574141234627*p^115*q^1676+8457210152322*p^113*q^1678+3148986414891* p^111*q^1680+654962666220*p^109*q^1682+101409000402*p^107*q^1684+13167028380*p^ 105*q^1686+1539982654*p^103*q^1688+132930864*p^101*q^1690+10686400*p^99*q^1692+ 236182*p^97*q^1694+71150*p^95*q^1696+2436*p^134*q^1656+1956*p^132*q^1658+554382 *p^130*q^1660+17340500*p^128*q^1662+161537928*p^126*q^1664+1966026394*p^124*q^ 1666+21494013108*p^122*q^1668+194176899018*p^120*q^1670+1318587255830*p^118*q^ 1672+5628045957378*p^116*q^1674+9838809737163*p^114*q^1676+5895873191038*p^112* q^1678+1582735037906*p^110*q^1680+279693100604*p^108*q^1682+39595397823*p^106*q ^1684+4774563666*p^104*q^1686+495403168*p^102*q^1688+49715750*p^100*q^1690+ 1854812*p^98*q^1692+307922*p^96*q^1694+8104*p^94*q^1696+31656*p^133*q^1656+ 36746*p^131*q^1658+4178246*p^129*q^1660+37812756*p^127*q^1662+580587399*p^125*q ^1664+6258065840*p^123*q^1666+62899839522*p^121*q^1668+504385791758*p^119*q^ 1670+2859830717703*p^117*q^1672+8460829886752*p^115*q^1674+8804824611305*p^113* q^1676+3434993147164*p^111*q^1678+726337446501*p^109*q^1680+114129826554*p^107* q^1682+14915963801*p^105*q^1684+1772728044*p^103*q^1686+150681237*p^101*q^1688+ 14609530*p^99*q^1690+202486*p^97*q^1692+150700*p^95*q^1694+96*p^93*q^1696+872*p ^134*q^1654+21144*p^132*q^1656+310742*p^130*q^1658+15722026*p^128*q^1660+ 132607568*p^126*q^1662+1761825098*p^124*q^1664+19190823064*p^122*q^1666+ 175411772687*p^120*q^1668+1219879098708*p^118*q^1670+5376181675352*p^116*q^1672 +9998660355908*p^114*q^1674+6282039799809*p^112*q^1676+1746983165770*p^110*q^ 1678+311595137227*p^108*q^1680+44555747962*p^106*q^1682+5375457640*p^104*q^1684 +574792454*p^102*q^1686+53556402*p^100*q^1688+2321812*p^98*q^1690+170340*p^96*q ^1692+6800*p^94*q^1694+4*p^135*q^1652+19516*p^133*q^1654+18152*p^131*q^1656+ 2980696*p^129*q^1658+38581110*p^127*q^1660+512505774*p^125*q^1662+5539108148*p^ 123*q^1664+56664257200*p^121*q^1666+460477133260*p^119*q^1668+2684474461066*p^ 117*q^1670+8294733038332*p^115*q^1672+9189307015876*p^113*q^1674+3720591477509* p^111*q^1676+806465883110*p^109*q^1678+127395293753*p^107*q^1680+16837032924*p^ 105*q^1682+1965690460*p^103*q^1684+171187810*p^101*q^1686+17717912*p^99*q^1688+ 338486*p^97*q^1690+150268*p^95*q^1692+960*p^93*q^1694+32*p^134*q^1652+73816*p^ 132*q^1654+223444*p^130*q^1656+14535778*p^128*q^1658+113805524*p^126*q^1660+ 1602338076*p^124*q^1662+17199564818*p^122*q^1664+159289612470*p^120*q^1666+ 1124299179726*p^118*q^1668+5145242342944*p^116*q^1670+10071640896715*p^114*q^ 1672+6705877014924*p^112*q^1674+1915426085975*p^110*q^1676+348188485976*p^108*q ^1678+50098506079*p^106*q^1680+6081965964*p^104*q^1682+683486016*p^102*q^1684+ 57824476*p^100*q^1686+3561584*p^98*q^1688+49736*p^96*q^1690+31128*p^94*q^1692+ 11276*p^133*q^1652+23784*p^131*q^1654+2128226*p^129*q^1656+37852264*p^127*q^ 1658+444656264*p^125*q^1660+4925165562*p^123*q^1662+50843507291*p^121*q^1664+ 420997956480*p^119*q^1666+2504036826790*p^117*q^1668+8135537848220*p^115*q^1670 +9514322936444*p^113*q^1672+4044456766994*p^111*q^1674+892572660456*p^109*q^ 1676+143051336408*p^107*q^1678+18989001360*p^105*q^1680+2208353786*p^103*q^1682 +196155872*p^101*q^1684+20834182*p^99*q^1686+448352*p^97*q^1688+130380*p^95*q^ 1690+208*p^93*q^1692+160*p^134*q^1650+84876*p^132*q^1652+165844*p^130*q^1654+ 11894812*p^128*q^1656+103150898*p^126*q^1658+1435479944*p^124*q^1660+ 15379202442*p^122*q^1662+143732834270*p^120*q^1664+1037609822770*p^118*q^1666+ 4888879350132*p^116*q^1668+10168060041724*p^114*q^1670+7112567649544*p^112*q^ 1672+2108534493282*p^110*q^1674+387456621724*p^108*q^1676+56366306420*p^106*q^ 1678+6887305805*p^104*q^1680+790184804*p^102*q^1682+63251910*p^100*q^1684+ 4991950*p^98*q^1686+45166*p^96*q^1688+44572*p^94*q^1690+52*p^92*q^1692+2212*p^ 133*q^1650+94130*p^131*q^1652+1360546*p^129*q^1654+37691800*p^127*q^1656+ 375901032*p^125*q^1658+4390144757*p^123*q^1660+45680532644*p^121*q^1662+ 383250110782*p^119*q^1664+2342500092056*p^117*q^1666+7922024857332*p^115*q^1668 +9874847795436*p^113*q^1670+4366440401944*p^111*q^1672+990036856798*p^109*q^ 1674+159641959308*p^107*q^1676+21401443766*p^105*q^1678+2456212993*p^103*q^1680 +232147168*p^101*q^1682+22692460*p^99*q^1684+607766*p^97*q^1686+44354*p^95*q^ 1688+3418*p^93*q^1690+16*p^134*q^1648+70188*p^132*q^1650+103722*p^130*q^1652+ 9710370*p^128*q^1654+94097052*p^126*q^1656+1301687040*p^124*q^1658+13713818775* p^122*q^1660+130293552016*p^120*q^1662+954347423315*p^118*q^1664+4655992043590* p^116*q^1666+10175260643014*p^114*q^1668+7556382895672*p^112*q^1670+ 2306596936376*p^110*q^1672+432196965370*p^108*q^1674+63161867505*p^106*q^1676+ 7821075496*p^104*q^1678+896419548*p^102*q^1680+67497654*p^100*q^1682+6657282*p^ 98*q^1684+85576*p^96*q^1686+59810*p^94*q^1688+2008*p^133*q^1648+194962*p^131*q^ 1650+1070680*p^129*q^1652+35321974*p^127*q^1654+328510634*p^125*q^1656+ 3936462020*p^123*q^1658+41023886091*p^121*q^1660+349650373780*p^119*q^1662+ 2177625233081*p^117*q^1664+7724577106020*p^115*q^1666+10157921683776*p^113*q^ 1668+4730223945852*p^111*q^1670+1093962986545*p^109*q^1672+179095966394*p^107*q ^1674+24165363065*p^105*q^1676+2762662020*p^103*q^1678+283784568*p^101*q^1680+ 26130038*p^99*q^1682+1048944*p^97*q^1684+5760*p^95*q^1686+8336*p^93*q^1688+ 32464*p^132*q^1648+125574*p^130*q^1650+7093168*p^128*q^1652+89248400*p^126*q^ 1654+1139651254*p^124*q^1656+12213132262*p^122*q^1658+117223534123*p^120*q^1660 +878149650368*p^118*q^1662+4402973863788*p^116*q^1664+10206593037566*p^114*q^ 1666+7973408579658*p^112*q^1668+2533522432166*p^110*q^1670+480309182435*p^108*q ^1672+71052793646*p^106*q^1674+8828701430*p^104*q^1676+1010145338*p^102*q^1678+ 74262256*p^100*q^1680+7678788*p^98*q^1682+77570*p^96*q^1684+39690*p^94*q^1686+ 138*p^92*q^1688+796*p^133*q^1646+245040*p^131*q^1648+679062*p^129*q^1650+ 31859514*p^127*q^1652+283846224*p^125*q^1654+3537549515*p^123*q^1656+ 36840030342*p^121*q^1658+317863152222*p^119*q^1660+2029379756718*p^117*q^1662+ 7479932640165*p^115*q^1664+10481329044732*p^113*q^1666+5086969062637*p^111*q^ 1668+1210989267014*p^109*q^1670+199738187329*p^107*q^1672+27152949176*p^105*q^ 1674+3106810592*p^103*q^1676+334114814*p^101*q^1678+26826800*p^99*q^1680+ 1612756*p^97*q^1682+13352*p^95*q^1684+14786*p^93*q^1686+15788*p^132*q^1646+ 256928*p^130*q^1648+5426850*p^128*q^1650+86571558*p^126*q^1652+1009034470*p^124 *q^1654+10887268337*p^122*q^1656+106107586148*p^120*q^1658+805246220872*p^118*q ^1660+4173138122064*p^116*q^1662+10148352815675*p^114*q^1664+8430679370688*p^ 112*q^1666+2763225465592*p^110*q^1668+535554655000*p^108*q^1670+79555895515*p^ 106*q^1672+10044169140*p^104*q^1674+1122803382*p^102*q^1676+88926282*p^100*q^ 1678+9651754*p^98*q^1680+154698*p^96*q^1682+4666*p^94*q^1684+1004*p^92*q^1686+ 44*p^133*q^1644+199784*p^131*q^1646+562842*p^129*q^1648+27315162*p^127*q^1650+ 251108852*p^125*q^1652+3186663388*p^123*q^1654+33031213431*p^121*q^1656+ 289314051938*p^119*q^1658+1881774887290*p^117*q^1660+7245484571930*p^115*q^1662 +10719474893814*p^113*q^1664+5489833076808*p^111*q^1666+1335619759983*p^109*q^ 1668+223645911532*p^107*q^1670+30581236832*p^105*q^1672+3516282666*p^103*q^1674 +394382008*p^101*q^1676+27339046*p^99*q^1678+2124759*p^97*q^1680+11444*p^95*q^ 1682+21296*p^93*q^1684+4*p^134*q^1642+11644*p^132*q^1644+487620*p^130*q^1646+ 3880056*p^128*q^1648+82532214*p^126*q^1650+879436921*p^124*q^1652+9707569540*p^ 122*q^1654+95329172745*p^120*q^1656+739455417002*p^118*q^1658+3927388556008*p^ 116*q^1660+10111499458444*p^114*q^1662+8849366050760*p^112*q^1664+3027532544256 *p^110*q^1666+594316827183*p^108*q^1668+89469752136*p^106*q^1670+11345625373*p^ 104*q^1672+1254582014*p^102*q^1674+107254554*p^100*q^1676+11174250*p^98*q^1678+ 277424*p^96*q^1680+1256*p^94*q^1682+1724*p^92*q^1684+12*p^133*q^1642+106128*p^ 131*q^1644+422606*p^129*q^1646+22048100*p^127*q^1648+224505788*p^125*q^1650+ 2841183428*p^123*q^1652+29562841932*p^121*q^1654+262361998527*p^119*q^1656+ 1747934946206*p^117*q^1658+6978513176102*p^115*q^1660+10987673715302*p^113*q^ 1662+5882996182529*p^111*q^1664+1476193698802*p^109*q^1666+249077078165*p^107*q ^1668+34343303842*p^105*q^1670+3975963258*p^103*q^1672+446662580*p^101*q^1674+ 28184636*p^99*q^1676+2663084*p^97*q^1678+14008*p^95*q^1680+5086*p^93*q^1682+60* p^91*q^1684+2388*p^132*q^1642+641400*p^130*q^1644+3043690*p^128*q^1646+78318858 *p^126*q^1648+775238984*p^124*q^1650+8697402707*p^122*q^1652+86216801304*p^120* q^1654+676739890658*p^118*q^1656+3707074299878*p^116*q^1658+9989812863353*p^114 *q^1660+9305207931882*p^112*q^1662+3292569227510*p^110*q^1664+661453501584*p^ 108*q^1666+100124904490*p^106*q^1668+12833584754*p^104*q^1670+1390614778*p^102* q^1672+134841364*p^100*q^1674+11737624*p^98*q^1676+474344*p^96*q^1678+2148*p^94 *q^1680+6498*p^92*q^1682+144*p^133*q^1640+86224*p^131*q^1642+676868*p^129*q^ 1644+17587334*p^127*q^1646+207342450*p^125*q^1648+2543059160*p^123*q^1650+ 26441892896*p^121*q^1652+238351323944*p^119*q^1654+1614634100951*p^117*q^1656+ 6722323589460*p^115*q^1658+11167768964658*p^113*q^1660+6321987439260*p^111*q^ 1662+1625313793586*p^109*q^1664+279001942584*p^107*q^1666+38645646449*p^105*q^ 1668+4555268398*p^103*q^1670+512772324*p^101*q^1672+31211122*p^99*q^1674+ 3775630*p^97*q^1676+31968*p^95*q^1678+48*p^93*q^1680+64*p^91*q^1682+860*p^132*q ^1640+495004*p^130*q^1642+2085504*p^128*q^1644+69789698*p^126*q^1646+672959432* p^124*q^1648+7774609668*p^122*q^1650+77369955990*p^120*q^1652+619662930838*p^ 118*q^1654+3475307948698*p^116*q^1656+9890178672978*p^114*q^1658+9716490453345* p^112*q^1660+3595908522966*p^110*q^1662+732968951987*p^108*q^1664+112260095786* p^106*q^1666+14430316743*p^104*q^1668+1547891122*p^102*q^1670+159086160*p^100*q ^1672+11651684*p^98*q^1674+563596*p^96*q^1676+556*p^94*q^1678+3324*p^92*q^1680+ 2*p^137*q^1634+20*p^133*q^1638+36236*p^131*q^1640+1190490*p^129*q^1642+13692830 *p^127*q^1644+194875764*p^125*q^1646+2252734692*p^123*q^1648+23681099250*p^121* q^1650+215642324488*p^119*q^1652+1496357642874*p^117*q^1654+6434137827776*p^115 *q^1656+11377423802508*p^113*q^1658+6744948339412*p^111*q^1660+1792825174864*p^ 109*q^1662+310504777740*p^107*q^1664+43464256410*p^105*q^1666+5171379974*p^103* q^1668+568488942*p^101*q^1670+38855057*p^99*q^1672+4436838*p^97*q^1674+74880*p^ 95*q^1676+280*p^93*q^1678+1042*p^91*q^1680+1448*p^132*q^1638+410264*p^130*q^ 1640+1638396*p^128*q^1642+61469252*p^126*q^1644+593389008*p^124*q^1646+ 6975429394*p^122*q^1648+69749570302*p^120*q^1650+565917434010*p^118*q^1652+ 3265709910576*p^116*q^1654+9710746838323*p^114*q^1656+10162044159370*p^112*q^ 1658+3900459117370*p^110*q^1660+814785948802*p^108*q^1662+125512245119*p^106*q^ 1664+16284555188*p^104*q^1666+1746357608*p^102*q^1668+190908438*p^100*q^1670+ 10650116*p^98*q^1672+901722*p^96*q^1674+2400*p^94*q^1676+15370*p^131*q^1638+ 1391504*p^129*q^1640+10799288*p^127*q^1642+182602892*p^125*q^1644+2007430996*p^ 123*q^1646+21149470192*p^121*q^1648+195761317332*p^119*q^1650+1378365770285*p^ 117*q^1652+6167496901158*p^115*q^1654+11484338484871*p^113*q^1656+7218110572612 *p^111*q^1658+1968848943985*p^109*q^1660+347114400790*p^107*q^1662+48851370699* p^105*q^1664+5894988988*p^103*q^1666+626292172*p^101*q^1668+49071496*p^99*q^ 1670+5244862*p^97*q^1672+108060*p^95*q^1674+1304*p^91*q^1678+35*p^136*q^1632+ 820*p^132*q^1636+274876*p^130*q^1638+1967756*p^128*q^1640+50827688*p^126*q^1642 +527893342*p^124*q^1644+6228147904*p^122*q^1646+62565884540*p^120*q^1648+ 516836658070*p^118*q^1650+3049478258172*p^116*q^1652+9550961964616*p^114*q^1654 +10549304420024*p^112*q^1656+4246965593026*p^110*q^1658+901824728838*p^108*q^ 1660+140816414738*p^106*q^1662+18293592408*p^104*q^1664+1984450386*p^102*q^1666 +224458054*p^100*q^1668+10849058*p^98*q^1670+1225154*p^96*q^1672+6664*p^94*q^ 1674+16*p^92*q^1676+68*p^90*q^1678+10396*p^131*q^1636+1343038*p^129*q^1638+ 7610216*p^127*q^1640+170397180*p^125*q^1642+1758581320*p^123*q^1644+18940189848 *p^121*q^1646+176648039051*p^119*q^1648+1273330257662*p^117*q^1650+ 5873368280964*p^115*q^1652+11628383343166*p^113*q^1654+7665510160466*p^111*q^ 1656+2167681275216*p^109*q^1658+385880624684*p^107*q^1660+54843335250*p^105*q^ 1662+6654916695*p^103*q^1664+686359524*p^101*q^1666+59279092*p^99*q^1668+ 4849766*p^97*q^1670+147702*p^95*q^1672+96*p^93*q^1674+56*p^132*q^1634+140630*p^ 130*q^1636+2578756*p^128*q^1638+43210182*p^126*q^1640+476219880*p^124*q^1642+ 5590737542*p^122*q^1644+56352767688*p^120*q^1646+471191176246*p^118*q^1648+ 2855008466220*p^116*q^1650+9320132478178*p^114*q^1652+10970510758116*p^112*q^ 1654+4590117103168*p^110*q^1656+1000831228994*p^108*q^1658+157222555276*p^106*q ^1660+20621433126*p^104*q^1662+2274558461*p^102*q^1664+253379278*p^100*q^1666+ 13305222*p^98*q^1668+1799298*p^96*q^1670+17988*p^94*q^1672+302*p^90*q^1676+258* p^135*q^1630+10116*p^131*q^1634+1215268*p^129*q^1636+6498044*p^127*q^1638+ 153932103*p^125*q^1640+1563557050*p^123*q^1642+16938127262*p^121*q^1644+ 159927756344*p^119*q^1646+1170085954386*p^117*q^1648+5598182512282*p^115*q^1650 +11663942708005*p^113*q^1652+8165802538326*p^111*q^1654+2375016636764*p^109*q^ 1656+431152271292*p^107*q^1658+61603313683*p^105*q^1660+7564166154*p^103*q^1662 +757887922*p^101*q^1664+77084244*p^99*q^1666+4308108*p^97*q^1668+237234*p^95*q^ 1670+236*p^93*q^1672+12*p^132*q^1632+83752*p^130*q^1634+3034034*p^128*q^1636+ 33341396*p^126*q^1638+436591270*p^124*q^1640+4973798084*p^122*q^1642+ 50417029055*p^120*q^1644+429550707070*p^118*q^1646+2656312097529*p^116*q^1648+ 9107842912980*p^114*q^1650+11322147717752*p^112*q^1652+4982050748046*p^110*q^ 1654+1106180189428*p^108*q^1656+176088653104*p^106*q^1658+23174850065*p^104*q^ 1660+2598984524*p^102*q^1662+282862648*p^100*q^1664+15440412*p^98*q^1666+ 2063270*p^96*q^1668+18852*p^94*q^1670+60*p^135*q^1628+4*p^133*q^1630+2984*p^131 *q^1632+799196*p^129*q^1634+5598316*p^127*q^1636+137105496*p^125*q^1638+ 1367511308*p^123*q^1640+15168663950*p^121*q^1642+144203893172*p^119*q^1644+ 1077861812612*p^117*q^1646+5306504066621*p^115*q^1648+11730485908586*p^113*q^ 1650+8631428487112*p^111*q^1652+2608893007368*p^109*q^1654+478361016705*p^107*q ^1656+69166933050*p^105*q^1658+8477197314*p^103*q^1660+844208724*p^101*q^1662+ 90859986*p^99*q^1664+3977158*p^97*q^1666+407560*p^95*q^1668+1880*p^93*q^1670+38 *p^89*q^1674+1043*p^134*q^1628+65780*p^130*q^1632+3422120*p^128*q^1634+27391964 *p^126*q^1636+404877242*p^124*q^1638+4452157928*p^122*q^1640+45394623484*p^120* q^1642+390550336866*p^118*q^1644+2478492963020*p^116*q^1646+8836452318722*p^114 *q^1648+11700529212890*p^112*q^1650+5366178876810*p^110*q^1652+1225682538656*p^ 108*q^1654+196709543653*p^106*q^1656+26112488738*p^104*q^1658+2984857730*p^102* q^1660+310157322*p^100*q^1662+21476646*p^98*q^1664+2052300*p^96*q^1666+31596*p^ 94*q^1668+790*p^131*q^1630+555384*p^129*q^1632+6042872*p^127*q^1634+117810548*p ^125*q^1636+1215351114*p^123*q^1638+13557888571*p^121*q^1640+130318569032*p^119 *q^1642+987736412601*p^117*q^1644+5033459703580*p^115*q^1646+11691690065934*p^ 113*q^1648+9149548727696*p^111*q^1650+2851186986386*p^109*q^1652+534098977964*p ^107*q^1654+77496860235*p^105*q^1656+9594507360*p^103*q^1658+961579592*p^101*q^ 1660+108661722*p^99*q^1662+3809360*p^97*q^1664+638812*p^95*q^1666+2516*p^93*q^ 1668+848*p^134*q^1626+136*p^132*q^1628+43280*p^130*q^1630+2960656*p^128*q^1632+ 21481590*p^126*q^1634+371286438*p^124*q^1636+3954463970*p^122*q^1638+ 40598970236*p^120*q^1640+355326006196*p^118*q^1642+2297844924747*p^116*q^1644+ 8584138237890*p^114*q^1646+12005834729180*p^112*q^1648+5800624374520*p^110*q^ 1650+1352368498820*p^108*q^1652+219983416018*p^106*q^1654+29375134682*p^104*q^ 1656+3395842148*p^102*q^1658+332130566*p^100*q^1660+27508224*p^98*q^1662+ 1877844*p^96*q^1664+57058*p^94*q^1666+80*p^92*q^1668+2*p^88*q^1672+2522*p^133*q ^1626+168*p^131*q^1628+351154*p^129*q^1630+7063476*p^127*q^1632+98919882*p^125* q^1634+1082663200*p^123*q^1636+12150478384*p^121*q^1638+117265927881*p^119*q^ 1640+907897260596*p^117*q^1642+4747017039540*p^115*q^1644+11682190505118*p^113* q^1646+9622813379214*p^111*q^1648+3124673781668*p^109*q^1650+592058340399*p^107 *q^1652+86954706088*p^105*q^1654+10741434833*p^103*q^1656+1100801142*p^101*q^ 1658+124594912*p^99*q^1660+4765374*p^97*q^1662+726780*p^95*q^1664+2600*p^93*q^ 1666+56*p^134*q^1624+16*p^132*q^1626+15850*p^130*q^1628+2431464*p^128*q^1630+ 17685142*p^126*q^1632+339990470*p^124*q^1634+3507481846*p^122*q^1636+ 36456480336*p^120*q^1638+322431161538*p^118*q^1640+2137052607278*p^116*q^1642+ 8276826841995*p^114*q^1644+12334548016684*p^112*q^1646+6226076999569*p^110*q^ 1648+1495726428674*p^108*q^1650+245344522965*p^106*q^1652+33112545110*p^104*q^ 1654+3860187890*p^102*q^1656+360488210*p^100*q^1658+34649916*p^98*q^1660+ 1317320*p^96*q^1662+137484*p^94*q^1664+296*p^92*q^1666+4933*p^133*q^1624+1328*p ^131*q^1626+298760*p^129*q^1628+7547428*p^127*q^1630+83713144*p^125*q^1632+ 984006502*p^123*q^1634+10879238797*p^121*q^1636+105958767282*p^119*q^1638+ 830263099038*p^117*q^1640+4483889889758*p^115*q^1642+11566258269329*p^113*q^ 1644+10146258680096*p^111*q^1646+3405676065141*p^109*q^1648+659864282654*p^107* q^1650+97382152638*p^105*q^1652+12140652474*p^103*q^1654+1275574915*p^101*q^ 1656+140331516*p^99*q^1658+6971586*p^97*q^1660+909564*p^95*q^1662+4544*p^93*q^ 1664+56*p^134*q^1622+3729*p^132*q^1624+6460*p^130*q^1626+1725134*p^128*q^1628+ 16539724*p^126*q^1630+300346846*p^124*q^1632+3094778384*p^122*q^1634+ 32567887979*p^120*q^1636+292499279194*p^118*q^1638+1974601229577*p^116*q^1640+ 7994938231730*p^114*q^1642+12570214809023*p^112*q^1644+6706884353714*p^110*q^ 1646+1647385574504*p^108*q^1648+274446461942*p^106*q^1650+37197308862*p^104*q^ 1652+4359608276*p^102*q^1654+398665132*p^100*q^1656+42717128*p^98*q^1658+ 1028682*p^96*q^1660+168012*p^94*q^1662+104*p^92*q^1664+1332*p^133*q^1622+716*p^ 131*q^1624+170816*p^129*q^1626+7223708*p^127*q^1628+66902954*p^125*q^1630+ 894419360*p^123*q^1632+9737414278*p^121*q^1634+95193872693*p^119*q^1636+ 761231824636*p^117*q^1638+4211967431860*p^115*q^1640+11483763213222*p^113*q^ 1642+10615241992558*p^111*q^1644+3721057861310*p^109*q^1646+730981073807*p^107* q^1648+109028991126*p^105*q^1650+13606578624*p^103*q^1652+1466838676*p^101*q^ 1654+147847502*p^99*q^1656+8939174*p^97*q^1658+716446*p^95*q^1660+19424*p^93*q^ 1662+16*p^91*q^1664+15330*p^132*q^1622+7152*p^130*q^1624+1353620*p^128*q^1626+ 16763594*p^126*q^1628+268022454*p^124*q^1630+2749558733*p^122*q^1632+ 29291495710*p^120*q^1634+264975764044*p^118*q^1636+1830419538520*p^116*q^1638+ 7666377713733*p^114*q^1640+12837335835320*p^112*q^1642+7164427840661*p^110*q^ 1644+1819603733904*p^108*q^1646+305540412634*p^106*q^1648+41915510706*p^104*q^ 1650+4918777946*p^102*q^1652+451296708*p^100*q^1654+52696978*p^98*q^1656+ 1454292*p^96*q^1658+285756*p^94*q^1660+160*p^92*q^1662+872*p^133*q^1620+3336*p^ 131*q^1622+88514*p^129*q^1624+6379290*p^127*q^1626+56360418*p^125*q^1628+ 813026540*p^123*q^1630+8695915024*p^121*q^1632+85757420504*p^119*q^1634+ 694496472978*p^117*q^1636+3959998927808*p^115*q^1638+11300527084107*p^113*q^ 1640+11132869263256*p^111*q^1642+4044681701612*p^109*q^1644+813363760708*p^107* q^1646+122119983227*p^105*q^1648+15410024864*p^103*q^1650+1690496540*p^101*q^ 1652+158467566*p^99*q^1654+12057950*p^97*q^1656+428850*p^95*q^1658+27936*p^93*q ^1660+10420*p^132*q^1620+9220*p^130*q^1622+1083472*p^128*q^1624+16957678*p^126* q^1626+228597088*p^124*q^1628+2454358836*p^122*q^1630+26145346561*p^120*q^1632+ 240187281906*p^118*q^1634+1686667450499*p^116*q^1636+7360626565526*p^114*q^1638 +13001397666096*p^112*q^1640+7686763717462*p^110*q^1642+1999018871244*p^108*q^ 1644+341561958420*p^106*q^1646+46968744432*p^104*q^1648+5521563878*p^102*q^1650 +518043045*p^100*q^1652+60673010*p^98*q^1654+1886242*p^96*q^1656+336394*p^94*q^ 1658+1520*p^92*q^1660+132*p^133*q^1618+27678*p^131*q^1620+45962*p^129*q^1622+ 4932800*p^127*q^1624+47622242*p^125*q^1626+740113392*p^123*q^1628+7723217976*p^ 121*q^1630+76999447784*p^119*q^1632+634970678638*p^117*q^1634+3704459297291*p^ 115*q^1636+11145734888828*p^113*q^1638+11585321588823*p^111*q^1640+ 4407567611322*p^109*q^1642+899883135751*p^107*q^1644+136673975530*p^105*q^1646+ 17344310322*p^103*q^1648+1929443530*p^101*q^1650+167216344*p^99*q^1652+15350180 *p^97*q^1654+306950*p^95*q^1656+50120*p^93*q^1658+6654*p^132*q^1618+3650*p^130* q^1620+685124*p^128*q^1622+17184408*p^126*q^1624+197061926*p^124*q^1626+ 2192107204*p^122*q^1628+23551358680*p^120*q^1630+217144755637*p^118*q^1632+ 1559676360392*p^116*q^1634+7023429870408*p^114*q^1636+13186074543140*p^112*q^ 1638+8177551979886*p^110*q^1640+2202941249210*p^108*q^1642+379757267623*p^106*q ^1644+52793211642*p^104*q^1646+6182242259*p^102*q^1648+602918608*p^100*q^1650+ 66297880*p^98*q^1652+2854870*p^96*q^1654+255618*p^94*q^1656+3876*p^92*q^1658+ 39440*p^131*q^1618+60896*p^129*q^1620+4465132*p^127*q^1622+43762338*p^125*q^ 1624+666309184*p^123*q^1626+6896976752*p^121*q^1628+69260174238*p^119*q^1630+ 577945839017*p^117*q^1632+3469238314988*p^115*q^1634+10897453307054*p^113*q^ 1636+12079981263188*p^111*q^1638+4775405069989*p^109*q^1640+1000566338078*p^107 *q^1642+152990123659*p^105*q^1644+19658182686*p^103*q^1646+2213212654*p^101*q^ 1648+183723716*p^99*q^1650+20635954*p^97*q^1652+334508*p^95*q^1654+100795*p^93* q^1656+48*p^91*q^1658+2862*p^132*q^1616+30352*p^130*q^1618+388284*p^128*q^1620+ 14872986*p^126*q^1622+163687778*p^124*q^1624+1973429622*p^122*q^1626+ 20980272543*p^120*q^1628+196365067938*p^118*q^1630+1432884849367*p^116*q^1632+ 6708978154680*p^114*q^1634+13274387917283*p^112*q^1636+8731013429358*p^110*q^ 1638+2416287589144*p^108*q^1640+423923710298*p^106*q^1642+59059550887*p^104*q^ 1644+6969727450*p^102*q^1646+695763748*p^100*q^1648+70224372*p^98*q^1650+ 3529638*p^96*q^1652+148178*p^94*q^1654+4136*p^92*q^1656+52*p^133*q^1614+31844*p ^131*q^1616+32432*p^129*q^1618+3494322*p^127*q^1620+42129676*p^125*q^1622+ 593067902*p^123*q^1624+6132535286*p^121*q^1626+62152730738*p^119*q^1628+ 527603916122*p^117*q^1630+3232639941537*p^115*q^1632+10682142986786*p^113*q^ 1634+12495904769835*p^111*q^1636+5186551538610*p^109*q^1638+1104914896689*p^107 *q^1640+171074311690*p^105*q^1642+22099567428*p^103*q^1644+2468611122*p^101*q^ 1646+204813864*p^99*q^1648+24719136*p^97*q^1650+544206*p^95*q^1652+105308*p^93* q^1654+372*p^91*q^1656+196*p^132*q^1614+82810*p^130*q^1616+308224*p^128*q^1618+ 13650662*p^126*q^1620+139457666*p^124*q^1622+1789124911*p^122*q^1624+ 18853923460*p^120*q^1626+177216845206*p^118*q^1628+1320982557816*p^116*q^1630+ 6366435085693*p^114*q^1632+13379639880952*p^112*q^1634+9248743695740*p^110*q^ 1636+2656987213360*p^108*q^1638+471321151615*p^106*q^1640+66436049200*p^104*q^ 1642+7860256614*p^102*q^1644+826520050*p^100*q^1646+73288667*p^98*q^1648+ 5194180*p^96*q^1650+64438*p^94*q^1652+17984*p^92*q^1654+23742*p^131*q^1614+ 32070*p^129*q^1616+2449590*p^127*q^1618+39176980*p^125*q^1620+523036170*p^123*q ^1622+5449311393*p^121*q^1624+55887448324*p^119*q^1626+479166173427*p^117*q^ 1628+3016952443240*p^115*q^1630+10380383679060*p^113*q^1632+12954394215614*p^ 111*q^1634+5599497506968*p^109*q^1636+1226085531748*p^107*q^1638+191065672106*p ^105*q^1640+24913749510*p^103*q^1642+2776962940*p^101*q^1644+231219858*p^99*q^ 1646+28476978*p^97*q^1648+745524*p^95*q^1650+95044*p^93*q^1652+104*p^91*q^1654+ 914*p^132*q^1612+96294*p^130*q^1614+257445*p^128*q^1616+12411760*p^126*q^1618+ 122776768*p^124*q^1620+1613533428*p^122*q^1622+16828908006*p^120*q^1624+ 160109391552*p^118*q^1626+1210500180560*p^116*q^1628+6051959287654*p^114*q^1630 +13373991662530*p^112*q^1632+9829792161072*p^110*q^1634+2907288864457*p^108*q^ 1636+525722962848*p^106*q^1638+74381197548*p^104*q^1640+8925878470*p^102*q^1642 +951908964*p^100*q^1644+77642562*p^98*q^1646+7285986*p^96*q^1648+73792*p^94*q^ 1650+25584*p^92*q^1652+16*p^90*q^1654+5470*p^131*q^1612+107172*p^129*q^1614+ 1621720*p^127*q^1616+35686388*p^125*q^1618+447457208*p^123*q^1620+4863488504*p^ 121*q^1622+50003256568*p^119*q^1624+436041901608*p^117*q^1626+2801098235662*p^ 115*q^1628+10112580974422*p^113*q^1630+13322161146441*p^111*q^1632+ 6061858865266*p^109*q^1634+1352502955844*p^107*q^1636+213654342610*p^105*q^1638 +27921441971*p^103*q^1640+3093897876*p^101*q^1642+272193734*p^99*q^1644+ 30350888*p^97*q^1646+925000*p^95*q^1648+33354*p^93*q^1650+1692*p^91*q^1652+96*p ^132*q^1610+105618*p^130*q^1612+142212*p^128*q^1614+10419852*p^126*q^1616+ 109976482*p^124*q^1618+1465695240*p^122*q^1620+15083231770*p^120*q^1622+ 144387721696*p^118*q^1624+1113769657260*p^116*q^1626+5716787807713*p^114*q^1628 +13397805605110*p^112*q^1630+10356214000966*p^110*q^1632+3189533654752*p^108*q^ 1634+583342465346*p^106*q^1636+83412191346*p^104*q^1638+10092425551*p^102*q^ 1640+1086917278*p^100*q^1642+79683746*p^98*q^1644+9513894*p^96*q^1646+156258*p^ 94*q^1648+37904*p^92*q^1650+7278*p^131*q^1610+183188*p^129*q^1612+1392214*p^127 *q^1614+34252670*p^125*q^1616+390530086*p^123*q^1618+4358445613*p^121*q^1620+ 44993840234*p^119*q^1622+395407889890*p^117*q^1624+2604109813490*p^115*q^1626+ 9768662273256*p^113*q^1628+13725020838368*p^111*q^1630+6520392112857*p^109*q^ 1632+1498670406450*p^107*q^1634+238577117989*p^105*q^1636+31554897786*p^103*q^ 1638+3488806285*p^101*q^1640+330105748*p^99*q^1642+33987702*p^97*q^1644+1591916 *p^95*q^1646+7364*p^93*q^1648+3764*p^91*q^1650+50722*p^130*q^1610+155834*p^128* q^1612+7761736*p^126*q^1614+96257228*p^124*q^1616+1301569414*p^122*q^1618+ 13391523116*p^120*q^1620+130011206704*p^118*q^1622+1017640643692*p^116*q^1624+ 5406683748232*p^114*q^1626+13308082465416*p^112*q^1628+10955793814944*p^110*q^ 1630+3481053985902*p^108*q^1632+649996839946*p^106*q^1634+93314100614*p^104*q^ 1636+11393552550*p^102*q^1638+1220892938*p^100*q^1640+85865814*p^98*q^1642+ 10786374*p^96*q^1644+128220*p^94*q^1646+24066*p^92*q^1648+56*p^90*q^1650+2584*p ^131*q^1608+278808*p^129*q^1610+928396*p^127*q^1612+31637940*p^125*q^1614+ 339905440*p^123*q^1616+3921466994*p^121*q^1618+40299757995*p^119*q^1620+ 359553785382*p^117*q^1622+2410977270526*p^115*q^1624+9459906387246*p^113*q^1626 +14028503449723*p^111*q^1628+7031852571672*p^109*q^1630+1649628292074*p^107*q^ 1632+266500818978*p^105*q^1634+35265910448*p^103*q^1636+3937346310*p^101*q^1638 +388526132*p^99*q^1640+33345726*p^97*q^1642+2436854*p^95*q^1644+25860*p^93*q^ 1646+7958*p^91*q^1648+39036*p^130*q^1608+251104*p^128*q^1610+6165228*p^126*q^ 1612+89381188*p^124*q^1614+1157846828*p^122*q^1616+11996208274*p^120*q^1618+ 117077706939*p^118*q^1620+933231614292*p^116*q^1622+5085398577720*p^114*q^1624+ 13237579268206*p^112*q^1626+11484790939277*p^110*q^1628+3809960324346*p^108*q^ 1630+720896480158*p^106*q^1632+104710838854*p^104*q^1634+12899680224*p^102*q^ 1636+1368311004*p^100*q^1638+100792082*p^98*q^1640+13337248*p^96*q^1642+243364* p^94*q^1644+2898*p^92*q^1646+352*p^90*q^1648+324*p^131*q^1606+234882*p^129*q^ 1608+679960*p^127*q^1610+28091606*p^125*q^1612+294915818*p^123*q^1614+ 3534215338*p^121*q^1616+36193526698*p^119*q^1618+325196811784*p^117*q^1620+ 2235455604804*p^115*q^1622+9087549138014*p^113*q^1624+14363776007790*p^111*q^ 1626+7533972011228*p^109*q^1628+1824830197270*p^107*q^1630+297064313506*p^105*q ^1632+39696635620*p^103*q^1634+4449460185*p^101*q^1636+457797394*p^99*q^1638+ 32430234*p^97*q^1640+3131910*p^95*q^1642+21984*p^93*q^1644+10926*p^91*q^1646+48 *p^132*q^1604+26840*p^130*q^1606+468204*p^128*q^1608+4763716*p^126*q^1610+ 81676408*p^124*q^1612+1020987330*p^122*q^1614+10670289567*p^120*q^1616+ 105382201054*p^118*q^1618+851020849609*p^116*q^1620+4787253300526*p^114*q^1622+ 13068506878860*p^112*q^1624+12078137212360*p^110*q^1626+4146767049751*p^108*q^ 1628+802291543498*p^106*q^1630+117108606664*p^104*q^1632+14580265148*p^102*q^ 1634+1530526756*p^100*q^1636+120472346*p^98*q^1638+14949818*p^96*q^1640+447334* p^94*q^1642+2444*p^92*q^1644+752*p^90*q^1646+236*p^131*q^1604+165614*p^129*q^ 1606+534125*p^127*q^1608+23048644*p^125*q^1610+257475002*p^123*q^1612+ 3174377150*p^121*q^1614+32341325202*p^119*q^1616+295044532522*p^117*q^1618+ 2061724594828*p^115*q^1620+8751972028856*p^113*q^1622+14591225365840*p^111*q^ 1624+8093800515260*p^109*q^1626+2005612700271*p^107*q^1628+331613967008*p^105*q ^1630+44394784643*p^103*q^1632+5036139060*p^101*q^1634+519434402*p^99*q^1636+ 32550296*p^97*q^1638+3880640*p^95*q^1640+23090*p^93*q^1642+2512*p^91*q^1644+16* p^89*q^1646+6574*p^130*q^1604+628562*p^128*q^1606+3556056*p^126*q^1608+78032240 *p^124*q^1610+900281386*p^122*q^1612+9577108752*p^120*q^1614+94781921524*p^118* q^1616+779099960636*p^116*q^1618+4483326167113*p^114*q^1620+12917517443824*p^ 112*q^1622+12596104637350*p^110*q^1624+4523901975334*p^108*q^1626+888125952801* p^106*q^1628+131327556082*p^104*q^1630+16395715437*p^102*q^1632+1710130532*p^ 100*q^1634+150210276*p^98*q^1636+14748414*p^96*q^1638+734350*p^94*q^1640+4708*p ^92*q^1642+2744*p^90*q^1644+704*p^131*q^1602+151666*p^129*q^1604+696666*p^127*q ^1606+19366144*p^125*q^1608+227849868*p^123*q^1610+2850755464*p^121*q^1612+ 29030229718*p^119*q^1614+266558460185*p^117*q^1616+1905595385830*p^115*q^1618+ 8358148220845*p^113*q^1620+14845407287852*p^111*q^1622+8635974974493*p^109*q^ 1624+2214519625090*p^107*q^1626+369592689095*p^105*q^1628+49969273526*p^103*q^ 1630+5752296659*p^101*q^1632+598197002*p^99*q^1634+34455364*p^97*q^1636+5484842 *p^95*q^1638+56096*p^93*q^1640+80*p^91*q^1642+20*p^89*q^1644+4712*p^130*q^1602+ 531854*p^128*q^1604+2584352*p^126*q^1606+70323520*p^124*q^1608+785422864*p^122* q^1610+8548652048*p^120*q^1612+85207459798*p^118*q^1614+708486460952*p^116*q^ 1616+4205325642224*p^114*q^1618+12666772291983*p^112*q^1620+13176652844756*p^ 110*q^1622+4909725908240*p^108*q^1624+986967215356*p^106*q^1626+146596473373*p^ 104*q^1628+18442506230*p^102*q^1630+1908662576*p^100*q^1632+176976462*p^98*q^ 1634+14328586*p^96*q^1636+863022*p^94*q^1638+988*p^92*q^1640+1322*p^90*q^1642+ 96*p^131*q^1600+64184*p^129*q^1602+1120018*p^127*q^1604+15177560*p^125*q^1606+ 203921926*p^123*q^1608+2546493054*p^121*q^1610+25900096180*p^119*q^1612+ 241257558074*p^117*q^1614+1753233899775*p^115*q^1616+8004845769508*p^113*q^1618 +14979630519567*p^111*q^1620+9237925306252*p^109*q^1622+2429647360630*p^107*q^ 1624+412278830438*p^105*q^1626+55915664239*p^103*q^1628+6531398404*p^101*q^1630 +664815292*p^99*q^1632+41990676*p^97*q^1634+5998172*p^95*q^1636+121186*p^93*q^ 1638+696*p^91*q^1640+344*p^89*q^1642+4800*p^130*q^1600+549718*p^128*q^1602+ 2001552*p^126*q^1604+62991638*p^124*q^1606+689568194*p^122*q^1608+7699769418*p^ 120*q^1610+76546552187*p^118*q^1612+647289123456*p^116*q^1614+3922610780113*p^ 114*q^1616+12447078259812*p^112*q^1618+13660075014337*p^110*q^1620+ 5341228642184*p^108*q^1622+1091259930276*p^106*q^1624+164204805990*p^104*q^1626 +20693470409*p^102*q^1628+2160828742*p^100*q^1630+213054234*p^98*q^1632+ 12377604*p^96*q^1634+1424720*p^94*q^1636+4682*p^92*q^1638+44465*p^129*q^1600+ 1241538*p^127*q^1602+12265312*p^125*q^1604+189359034*p^123*q^1606+2274176325*p^ 121*q^1608+23225072748*p^119*q^1610+217695972296*p^117*q^1612+1615370921530*p^ 115*q^1614+7607777879830*p^113*q^1616+15142497625090*p^111*q^1618+9808234984283 *p^109*q^1620+2677015188914*p^107*q^1622+458781117165*p^105*q^1624+62958081302* p^103*q^1626+7415311588*p^101*q^1628+741219540*p^99*q^1630+52118270*p^97*q^1632 +6842432*p^95*q^1634+175040*p^93*q^1636+394*p^89*q^1640+2668*p^130*q^1598+ 359911*p^128*q^1600+2183914*p^126*q^1602+53436234*p^124*q^1604+597201624*p^122* q^1606+6882032105*p^120*q^1608+68763433082*p^118*q^1610+587343955883*p^116*q^ 1612+3663482244164*p^114*q^1614+12129835899135*p^112*q^1616+14210426280750*p^ 110*q^1618+5777964832875*p^108*q^1620+1211357928202*p^106*q^1622+183375780078*p ^104*q^1624+23247337468*p^102*q^1626+2453676503*p^100*q^1628+249055528*p^98*q^ 1630+11920140*p^96*q^1632+1826926*p^94*q^1634+11300*p^92*q^1636+46*p^90*q^1638+ 16*p^88*q^1640+27618*p^129*q^1598+1394040*p^127*q^1600+8895848*p^125*q^1602+ 172906893*p^123*q^1604+2014257826*p^121*q^1606+20725146331*p^119*q^1608+ 196696122088*p^117*q^1610+1482071690072*p^115*q^1612+7247109266470*p^113*q^1614 +15186696606470*p^111*q^1616+10446459325964*p^109*q^1618+2929042506357*p^107*q^ 1620+511327022146*p^105*q^1622+70341543680*p^103*q^1624+8362927762*p^101*q^1626 +813938110*p^99*q^1628+63596034*p^97*q^1630+6132820*p^95*q^1632+251788*p^93*q^ 1634+200*p^91*q^1636+372*p^130*q^1596+254802*p^128*q^1598+2440956*p^126*q^1600+ 45967746*p^124*q^1602+529933642*p^122*q^1604+6203570630*p^120*q^1606+ 61758612884*p^118*q^1608+535531313298*p^116*q^1610+3405873118571*p^114*q^1612+ 11840387040142*p^112*q^1614+14646330125918*p^110*q^1616+6264877495776*p^108*q^ 1618+1337706485762*p^106*q^1620+205185155682*p^104*q^1622+26091845450*p^102*q^ 1624+2821316284*p^100*q^1626+284360622*p^98*q^1628+13676906*p^96*q^1630+2514344 *p^94*q^1632+30908*p^92*q^1634+62*p^88*q^1638+24778*p^129*q^1596+1266542*p^127* q^1598+7640356*p^125*q^1600+158058474*p^123*q^1602+1779602194*p^121*q^1604+ 18601087150*p^119*q^1606+177049930397*p^117*q^1608+1362259811758*p^115*q^1610+ 6853374047114*p^113*q^1612+15246990941002*p^111*q^1614+11040964103603*p^109*q^ 1616+3220960032624*p^107*q^1618+568212821025*p^105*q^1620+79174517436*p^103*q^ 1622+9446912604*p^101*q^1624+907499232*p^99*q^1626+81333264*p^97*q^1628+5178108 *p^95*q^1630+401330*p^93*q^1632+440*p^91*q^1634+180*p^130*q^1594+167631*p^128*q ^1596+2822184*p^126*q^1598+36432388*p^124*q^1600+470670232*p^122*q^1602+ 5547891492*p^120*q^1604+55345999050*p^118*q^1606+485173533112*p^116*q^1608+ 3169490346000*p^114*q^1610+11471717332278*p^112*q^1612+15140947684734*p^110*q^ 1614+6753685964600*p^108*q^1616+1482823442858*p^106*q^1618+228808682513*p^104*q ^1620+29324268754*p^102*q^1622+3212687745*p^100*q^1624+317831706*p^98*q^1626+ 15837308*p^96*q^1628+2811904*p^94*q^1630+34668*p^92*q^1632+44*p^131*q^1592+9140 *p^129*q^1594+992205*p^127*q^1596+6482158*p^125*q^1598+140958117*p^123*q^1600+ 1565082590*p^121*q^1602+16608561062*p^119*q^1604+159918738428*p^117*q^1606+ 1246176395232*p^115*q^1608+6498069946230*p^113*q^1610+15194102448377*p^111*q^ 1612+11698133301056*p^109*q^1614+3517229150955*p^107*q^1616+632459628796*p^105* q^1618+88484666609*p^103*q^1620+10599649446*p^101*q^1622+1016812534*p^99*q^1624 +96989794*p^97*q^1626+4330342*p^95*q^1628+622944*p^93*q^1630+3276*p^91*q^1632+4 *p^87*q^1636+133188*p^128*q^1594+3120503*p^126*q^1596+30048166*p^124*q^1598+ 428060204*p^122*q^1600+4975757478*p^120*q^1602+49669144844*p^118*q^1604+ 441225555234*p^116*q^1606+2935832496615*p^114*q^1608+11132829566974*p^112*q^ 1610+15512563396707*p^110*q^1612+7296630154720*p^108*q^1614+1634509625094*p^106 *q^1616+256130169174*p^104*q^1618+32907425648*p^102*q^1620+3681599896*p^100*q^ 1622+350294077*p^98*q^1624+21727388*p^96*q^1626+2651404*p^94*q^1628+62046*p^92* q^1630+3928*p^129*q^1592+809352*p^127*q^1594+6250770*p^125*q^1596+123685084*p^ 123*q^1598+1372976717*p^121*q^1600+14942005750*p^119*q^1602+143757862206*p^117* q^1604+1142794573184*p^115*q^1606+6115532789277*p^113*q^1608+15158024363482*p^ 111*q^1610+12303560441454*p^109*q^1612+3856144981684*p^107*q^1614+702500701620* p^105*q^1616+99303990826*p^103*q^1618+11925657714*p^101*q^1620+1165561826*p^99* q^1622+115949518*p^97*q^1624+3785620*p^95*q^1626+956684*p^93*q^1628+5390*p^91*q ^1630+650*p^130*q^1590+91752*p^128*q^1592+2806374*p^126*q^1594+24943618*p^124*q ^1596+388174098*p^122*q^1598+4432485158*p^120*q^1600+44519443354*p^118*q^1602+ 398959526704*p^116*q^1604+2723467950264*p^114*q^1606+10718883700055*p^112*q^ 1608+15940151749702*p^110*q^1610+7834833541809*p^108*q^1612+1809374269682*p^106 *q^1614+285189564172*p^104*q^1616+37082783648*p^102*q^1618+4175691467*p^100*q^ 1620+380048426*p^98*q^1622+27726736*p^96*q^1624+2339430*p^94*q^1626+97006*p^92* q^1628+116*p^90*q^1630+880*p^129*q^1590+562168*p^127*q^1592+6789368*p^125*q^ 1594+103032158*p^123*q^1596+1207043518*p^121*q^1598+13366653142*p^119*q^1600+ 129555482602*p^117*q^1602+1042803011506*p^115*q^1604+5771503807046*p^113*q^1606 +15004527369029*p^111*q^1608+12972092316918*p^109*q^1610+4201662250421*p^107*q^ 1612+781071679062*p^105*q^1614+110949087914*p^103*q^1616+13351259238*p^101*q^ 1618+1329537720*p^99*q^1620+132730988*p^97*q^1622+4658756*p^95*q^1624+1009070*p ^93*q^1626+6002*p^91*q^1628+84*p^130*q^1588+44024*p^128*q^1590+2699920*p^126*q^ 1592+19888850*p^124*q^1594+355103469*p^122*q^1596+3954434466*p^120*q^1598+ 39864971160*p^118*q^1600+362291053340*p^116*q^1602+2514894574868*p^114*q^1604+ 10345259945078*p^112*q^1606+16227214505522*p^110*q^1608+8433473563554*p^108*q^ 1610+1990439409580*p^106*q^1612+318768254284*p^104*q^1614+41594285952*p^102*q^ 1616+4738126342*p^100*q^1618+418896148*p^98*q^1620+35370506*p^96*q^1622+1420860 *p^94*q^1624+231828*p^92*q^1626+776*p^90*q^1628+4298*p^129*q^1588+512062*p^127* q^1590+6673426*p^125*q^1592+90957858*p^123*q^1594+1077317918*p^121*q^1596+ 12021248814*p^119*q^1598+116530398990*p^117*q^1600+954130903078*p^115*q^1602+ 5408362642049*p^113*q^1604+14872323477576*p^111*q^1606+13564523402880*p^109*q^ 1608+4594853743738*p^107*q^1610+866414731806*p^105*q^1612+124564898588*p^103*q^ 1614+15036083582*p^101*q^1616+1546767354*p^99*q^1618+149899186*p^97*q^1620+ 6604780*p^95*q^1622+1234646*p^93*q^1624+8760*p^91*q^1626+18840*p^128*q^1588+ 2050246*p^126*q^1590+18190610*p^124*q^1592+310623204*p^122*q^1594+3480584099*p^ 120*q^1596+35729534790*p^118*q^1598+326679737815*p^116*q^1600+2324176920558*p^ 114*q^1602+9905901369548*p^112*q^1604+16570890869966*p^110*q^1606+9020103130581 *p^108*q^1608+2199705538626*p^106*q^1610+354908783282*p^104*q^1612+46782276214* p^102*q^1614+5322123800*p^100*q^1616+465343954*p^98*q^1618+43183828*p^96*q^1620 +1019276*p^94*q^1622+262452*p^92*q^1624+284*p^90*q^1626+2236*p^129*q^1586+ 323690*p^127*q^1588+6693478*p^125*q^1590+73343748*p^123*q^1592+968866302*p^121* q^1594+10759330027*p^119*q^1596+104867637252*p^117*q^1598+869032429914*p^115*q^ 1600+5082990627162*p^113*q^1602+14629430306978*p^111*q^1604+14228360032510*p^ 109*q^1606+4989502833531*p^107*q^1608+962563153188*p^105*q^1610+138834983387*p^ 103*q^1612+16873218828*p^101*q^1614+1769638168*p^99*q^1616+160293978*p^97*q^ 1618+8686470*p^95*q^1620+894812*p^93*q^1622+37396*p^91*q^1624+52*p^89*q^1626+ 19688*p^128*q^1586+1906238*p^126*q^1588+17114998*p^124*q^1590+280041254*p^122*q ^1592+3086915246*p^120*q^1594+32070013723*p^118*q^1596+296218956802*p^116*q^ 1598+2140339093739*p^114*q^1600+9501739491828*p^112*q^1602+16765326034225*p^110 *q^1604+9667509418108*p^108*q^1606+2416391206441*p^106*q^1608+396244101038*p^ 104*q^1610+52513776628*p^102*q^1612+6007049272*p^100*q^1614+531402369*p^98*q^ 1616+53457276*p^96*q^1618+1308362*p^94*q^1620+418794*p^92*q^1622+388*p^90*q^ 1624+212*p^129*q^1584+183192*p^127*q^1586+6062086*p^125*q^1588+61710176*p^123*q ^1590+866327219*p^121*q^1592+9651468118*p^119*q^1594+94034753016*p^117*q^1596+ 793018285104*p^115*q^1598+4744031897752*p^113*q^1600+14407348358432*p^111*q^ 1602+14796467469463*p^109*q^1604+5443023204992*p^107*q^1606+1065809663533*p^105 *q^1608+155821935408*p^103*q^1610+19007036698*p^101*q^1612+2036627068*p^99*q^ 1614+173973788*p^97*q^1616+11520838*p^95*q^1618+480744*p^93*q^1620+52200*p^91*q ^1622+4*p^130*q^1582+22172*p^128*q^1584+1578842*p^126*q^1586+16150713*p^124*q^ 1588+243377558*p^122*q^1590+2733527286*p^120*q^1592+28734064890*p^118*q^1594+ 266974409954*p^116*q^1596+1972807190076*p^114*q^1598+9052249714278*p^112*q^1600 +17001887595898*p^110*q^1602+10295476668057*p^108*q^1604+2664253636148*p^106*q^ 1606+440817050478*p^104*q^1608+58925317450*p^102*q^1610+6718254137*p^100*q^1612 +613559632*p^98*q^1614+61074560*p^96*q^1616+1727474*p^94*q^1618+476822*p^92*q^ 1620+3320*p^90*q^1622+156*p^129*q^1582+105235*p^127*q^1584+5476106*p^125*q^1586 +52864187*p^123*q^1588+780564890*p^121*q^1590+8583983890*p^119*q^1592+ 84637836102*p^117*q^1594+720240943951*p^115*q^1596+4439646262970*p^113*q^1598+ 14085642103657*p^111*q^1600+15431135540254*p^109*q^1602+5893803920687*p^107*q^ 1604+1183311789656*p^105*q^1606+173685271971*p^103*q^1608+21435197946*p^101*q^ 1610+2312979588*p^99*q^1612+186234764*p^97*q^1614+14890872*p^95*q^1616+289172*p ^93*q^1618+80706*p^91*q^1620+5382*p^128*q^1582+1099218*p^126*q^1584+15390754*p^ 124*q^1586+208224533*p^122*q^1588+2428095360*p^120*q^1590+25804205550*p^118*q^ 1592+241578622546*p^116*q^1594+1811148945695*p^114*q^1596+8640345012818*p^112*q ^1598+17095880336876*p^110*q^1600+10984092565016*p^108*q^1602+2920126793389*p^ 106*q^1604+491563130382*p^104*q^1606+65979332382*p^102*q^1608+7517888168*p^100* q^1610+712352802*p^98*q^1612+67647688*p^96*q^1614+2562670*p^94*q^1616+319404*p^ 92*q^1618+8908*p^90*q^1620+112*p^129*q^1580+128488*p^127*q^1582+5313372*p^125*q ^1584+47276656*p^123*q^1586+705549741*p^121*q^1588+7682204794*p^119*q^1590+ 75905269800*p^117*q^1592+656217849482*p^115*q^1594+4127233936302*p^113*q^1596+ 13782326976402*p^111*q^1598+15957027555303*p^109*q^1600+6406271910952*p^107*q^ 1602+1308744378566*p^105*q^1604+194829738118*p^103*q^1606+24163218260*p^101*q^ 1608+2651886642*p^99*q^1610+208094272*p^97*q^1612+19795022*p^95*q^1614+285672*p ^93*q^1616+163792*p^91*q^1618+112*p^89*q^1620+44*p^130*q^1578+3684*p^128*q^1580 +667484*p^126*q^1582+13881956*p^124*q^1584+176669606*p^122*q^1586+2149059860*p^ 120*q^1588+23106644680*p^118*q^1590+217239359476*p^116*q^1592+1664929202824*p^ 114*q^1594+8184996550933*p^112*q^1596+17230223903088*p^110*q^1598+ 11644690636271*p^108*q^1600+3213877555744*p^106*q^1602+546327268330*p^104*q^ 1604+73983266014*p^102*q^1606+8458336721*p^100*q^1608+822082880*p^98*q^1610+ 72023532*p^96*q^1612+3210686*p^94*q^1614+170114*p^92*q^1616+7576*p^90*q^1618+16 *p^129*q^1578+60640*p^127*q^1580+4467944*p^125*q^1582+42400844*p^123*q^1584+ 624624992*p^121*q^1586+6824761910*p^119*q^1588+68237573334*p^117*q^1590+ 594991663948*p^115*q^1592+3848686838352*p^113*q^1594+13389000967511*p^111*q^ 1596+16542857086864*p^109*q^1598+6915666827453*p^107*q^1600+1450196928594*p^105 *q^1602+216879253315*p^103*q^1604+27199293908*p^101*q^1606+2943796270*p^99*q^ 1608+234229034*p^97*q^1610+23556260*p^95*q^1612+464792*p^93*q^1614+149628*p^91* q^1616+1076*p^89*q^1618+1616*p^128*q^1578+581332*p^126*q^1580+13821082*p^124*q^ 1582+151244897*p^122*q^1584+1943032220*p^120*q^1586+20712818338*p^118*q^1588+ 196431137162*p^116*q^1590+1524461192745*p^114*q^1592+7775136286876*p^112*q^1594 +17206326129900*p^110*q^1596+12368591166592*p^108*q^1598+3515024060811*p^106*q^ 1600+609062338990*p^104*q^1602+82873946526*p^102*q^1604+9540525376*p^100*q^1606 +971163543*p^98*q^1608+76980844*p^96*q^1610+4797306*p^94*q^1612+55456*p^92*q^ 1614+33944*p^90*q^1616+656*p^129*q^1576+39824*p^127*q^1578+3371032*p^125*q^1580 +37330630*p^123*q^1582+553967108*p^121*q^1584+6053063402*p^119*q^1586+ 61206989930*p^117*q^1588+540639122546*p^115*q^1590+3565605575278*p^113*q^1592+ 13024689794014*p^111*q^1594+16998813948959*p^109*q^1596+7491286542628*p^107*q^ 1598+1601500843560*p^105*q^1600+242878842586*p^103*q^1602+30549483676*p^101*q^ 1604+3314604974*p^99*q^1606+267309670*p^97*q^1608+27102010*p^95*q^1610+615920*p ^93*q^1612+123156*p^91*q^1614+224*p^89*q^1616+980*p^128*q^1576+415032*p^126*q^ 1578+13162556*p^124*q^1580+133449320*p^122*q^1582+1729471907*p^120*q^1584+ 18588237810*p^118*q^1586+176439837082*p^116*q^1588+1397660070166*p^114*q^1590+ 7331258385524*p^112*q^1592+17228575706744*p^110*q^1594+13043692491445*p^108*q^ 1596+3859926040380*p^106*q^1598+676281977503*p^104*q^1600+92955730580*p^102*q^ 1602+10775983599*p^100*q^1604+1117612728*p^98*q^1606+82552696*p^96*q^1608+ 6584434*p^94*q^1610+61580*p^92*q^1612+44120*p^90*q^1614+60*p^88*q^1616+94*p^129 *q^1574+19810*p^127*q^1576+2476542*p^125*q^1578+34172282*p^123*q^1580+473019826 *p^121*q^1582+5378208544*p^119*q^1584+54886553792*p^117*q^1586+489140482333*p^ 115*q^1588+3311717718270*p^113*q^1590+12579161891074*p^111*q^1592+ 17523195574778*p^109*q^1594+8055582127143*p^107*q^1596+1772730613620*p^105*q^ 1598+270442867808*p^103*q^1600+34294178656*p^101*q^1602+3685008684*p^99*q^1604+ 313639376*p^97*q^1606+29206776*p^95*q^1608+810662*p^93*q^1610+37018*p^91*q^1612 +3774*p^89*q^1614+4296*p^128*q^1574+273348*p^126*q^1576+11975376*p^124*q^1578+ 115604348*p^122*q^1580+1573872894*p^120*q^1582+16630328564*p^118*q^1584+ 159514753660*p^116*q^1586+1276953806151*p^114*q^1588+6929995157854*p^112*q^1590 +17099953930353*p^110*q^1592+13785502937884*p^108*q^1594+4210321967028*p^106*q^ 1596+752902066310*p^104*q^1598+103820196284*p^102*q^1600+12204393202*p^100*q^ 1602+1269881949*p^98*q^1604+87742584*p^96*q^1606+8564314*p^94*q^1608+117880*p^ 92*q^1610+55858*p^90*q^1612+10*p^129*q^1572+13620*p^127*q^1574+2047934*p^125*q^ 1576+32907792*p^123*q^1578+417152422*p^121*q^1580+4783452408*p^119*q^1582+ 49261170608*p^117*q^1584+443710615306*p^115*q^1586+3058168104418*p^113*q^1588+ 12157740490002*p^111*q^1590+17895789708363*p^109*q^1592+8696085039620*p^107*q^ 1594+1954278113882*p^105*q^1596+302763640724*p^103*q^1598+38613068887*p^101*q^ 1600+4153001228*p^99*q^1602+379705320*p^97*q^1604+32985876*p^95*q^1606+1370758* p^93*q^1608+6132*p^91*q^1610+8452*p^89*q^1612+2242*p^128*q^1572+178482*p^126*q^ 1574+9504734*p^124*q^1576+98917730*p^122*q^1578+1383871127*p^120*q^1580+ 14840146638*p^118*q^1582+142963193770*p^116*q^1584+1167613952056*p^114*q^1586+ 6504725307581*p^112*q^1588+17006954189396*p^110*q^1590+14466810353415*p^108*q^ 1592+4612441655648*p^106*q^1594+834751147621*p^104*q^1596+116411562260*p^102*q^ 1598+13699242297*p^100*q^1600+1427779416*p^98*q^1602+95219152*p^96*q^1604+ 9602086*p^94*q^1606+102670*p^92*q^1608+32124*p^90*q^1610+154*p^88*q^1612+32*p^ 129*q^1570+20304*p^127*q^1572+1427264*p^125*q^1574+32054673*p^123*q^1576+ 364992654*p^121*q^1578+4287091294*p^119*q^1580+44243218184*p^117*q^1582+ 401081190834*p^115*q^1584+2832105704862*p^113*q^1586+11678281379391*p^111*q^ 1588+18323325821388*p^109*q^1590+9315848398017*p^107*q^1592+2159327299312*p^105 *q^1594+336866112075*p^103*q^1596+43235816978*p^101*q^1598+4682731569*p^99*q^ 1600+446607626*p^97*q^1602+33340792*p^95*q^1604+2094444*p^93*q^1606+18508*p^91* q^1608+13986*p^89*q^1610+358*p^128*q^1570+108170*p^126*q^1572+8016272*p^124*q^ 1574+88208336*p^122*q^1576+1228256832*p^120*q^1578+13216301993*p^118*q^1580+ 129013874548*p^116*q^1582+1063387978624*p^114*q^1584+6121631003278*p^112*q^1586 +16770032111822*p^110*q^1588+15208507644806*p^108*q^1590+5018844144790*p^106*q^ 1592+929120594744*p^104*q^1594+130054566239*p^102*q^1596+15543265200*p^100*q^ 1598+1590610786*p^98*q^1600+112805508*p^96*q^1602+11897276*p^94*q^1604+197460*p ^92*q^1606+2960*p^90*q^1608+1068*p^88*q^1610+8*p^129*q^1568+19786*p^127*q^1570+ 1109204*p^125*q^1572+29467598*p^123*q^1574+315522932*p^121*q^1576+3851896788*p^ 119*q^1578+39717069155*p^117*q^1580+363206462320*p^115*q^1582+2607717599931*p^ 113*q^1584+11226231750912*p^111*q^1586+18602923723589*p^109*q^1588+ 10011291787802*p^107*q^1590+2376366233352*p^105*q^1592+376412523436*p^103*q^ 1594+48480000513*p^101*q^1596+5280001114*p^99*q^1598+524524192*p^97*q^1600+ 33391660*p^95*q^1602+2628190*p^93*q^1604+15556*p^91*q^1606+17622*p^89*q^1608+ 624*p^128*q^1568+110842*p^126*q^1570+6170144*p^124*q^1572+81052122*p^122*q^1574 +1085590894*p^120*q^1576+11774759984*p^118*q^1578+115554177490*p^116*q^1580+ 970546550600*p^114*q^1582+5718686818177*p^112*q^1584+16572002872882*p^110*q^ 1586+15868622709509*p^108*q^1588+5482904014814*p^106*q^1590+1029180555901*p^104 *q^1592+145886028700*p^102*q^1594+17498693002*p^100*q^1596+1789461720*p^98*q^ 1598+135374267*p^96*q^1600+13522006*p^94*q^1602+363108*p^92*q^1604+1720*p^90*q^ 1606+1680*p^88*q^1608+22*p^129*q^1566+6432*p^127*q^1568+672858*p^125*q^1570+ 25853124*p^123*q^1572+270944926*p^121*q^1574+3420909738*p^119*q^1576+ 35598566222*p^117*q^1578+327615398225*p^115*q^1580+2406611606580*p^113*q^1582+ 10721314573814*p^111*q^1584+18931528771098*p^109*q^1586+10685255907017*p^107*q^ 1588+2621171276748*p^105*q^1590+418443347850*p^103*q^1592+54290902574*p^101*q^ 1594+5955062610*p^99*q^1596+591048016*p^97*q^1598+33932710*p^95*q^1600+3215468* p^93*q^1602+17248*p^91*q^1604+3270*p^89*q^1606+68*p^87*q^1608+168*p^128*q^1566+ 104432*p^126*q^1568+5058636*p^124*q^1570+77139326*p^122*q^1572+960301466*p^120* q^1574+10534873600*p^118*q^1576+104238843442*p^116*q^1578+882405330192*p^114*q^ 1580+5361853265920*p^112*q^1582+16235749678402*p^110*q^1584+16591892155442*p^ 108*q^1586+5946620081252*p^106*q^1588+1143249694566*p^104*q^1590+162910325100*p ^102*q^1592+19710496360*p^100*q^1594+1993308058*p^98*q^1596+169314936*p^96*q^ 1598+13794936*p^94*q^1600+592298*p^92*q^1602+3036*p^90*q^1604+5626*p^88*q^1606+ 4*p^129*q^1564+6536*p^127*q^1566+620106*p^125*q^1568+22107452*p^123*q^1570+ 236466900*p^121*q^1572+3071988024*p^119*q^1574+31858314698*p^117*q^1576+ 296424667648*p^115*q^1578+2208608977375*p^113*q^1580+10250194395474*p^111*q^ 1582+19087862850512*p^109*q^1584+11436839699052*p^107*q^1586+2879886498202*p^ 105*q^1588+467815276770*p^103*q^1590+60892726577*p^101*q^1592+6805893342*p^99*q ^1594+680798080*p^97*q^1596+37136104*p^95*q^1598+4528396*p^93*q^1600+41424*p^91 *q^1602+60*p^89*q^1604+64*p^87*q^1606+406*p^128*q^1564+62036*p^126*q^1566+ 3526615*p^124*q^1568+71584260*p^122*q^1570+836415422*p^120*q^1572+9374036208*p^ 118*q^1574+93405829386*p^116*q^1576+802899312050*p^114*q^1578+4990878433341*p^ 112*q^1580+15944062309540*p^110*q^1582+17214118376835*p^108*q^1584+ 6477129876072*p^106*q^1586+1264618935698*p^104*q^1588+182286341804*p^102*q^1590 +22077479528*p^100*q^1592+2224193960*p^98*q^1594+197396558*p^96*q^1596+13386576 *p^94*q^1598+670336*p^92*q^1600+656*p^90*q^1602+2270*p^88*q^1604+44*p^129*q^ 1562+2734*p^127*q^1564+491252*p^125*q^1566+18473348*p^123*q^1568+208872152*p^ 121*q^1570+2724100085*p^119*q^1572+28547390144*p^117*q^1574+266777399955*p^115* q^1576+2033402138280*p^113*q^1578+9736158466308*p^111*q^1580+19303062805942*p^ 109*q^1582+12146003917650*p^107*q^1584+3171088303686*p^105*q^1586+519538937072* p^103*q^1588+68302425784*p^101*q^1590+7694277842*p^99*q^1592+758009362*p^97*q^ 1594+46014302*p^95*q^1596+5120266*p^93*q^1598+94980*p^91*q^1600+408*p^89*q^1602 +962*p^87*q^1604+88*p^128*q^1562+48736*p^126*q^1564+2882520*p^124*q^1566+ 65671876*p^122*q^1568+733155058*p^120*q^1570+8417479955*p^118*q^1572+ 84105430438*p^116*q^1574+729107983043*p^114*q^1576+4657782874108*p^112*q^1578+ 15528701598504*p^110*q^1580+17896379226600*p^108*q^1582+7003948042566*p^106*q^ 1584+1403439401606*p^104*q^1586+203431764197*p^102*q^1588+24820160942*p^100*q^ 1590+2515485233*p^98*q^1592+237001742*p^96*q^1594+12016212*p^94*q^1596+1077408* p^92*q^1598+2968*p^90*q^1600+3552*p^127*q^1562+376936*p^125*q^1564+14980618*p^ 123*q^1566+191389938*p^121*q^1568+2431771798*p^119*q^1570+25457714586*p^117*q^ 1572+241157098294*p^115*q^1574+1860646408163*p^113*q^1576+9260735217456*p^111*q ^1578+19336835842254*p^109*q^1580+12942668595148*p^107*q^1582+3475272701039*p^ 105*q^1584+579972667070*p^103*q^1586+76586346640*p^101*q^1588+8743027606*p^99*q ^1590+841711390*p^97*q^1592+57285166*p^95*q^1594+5831844*p^93*q^1596+128900*p^ 91*q^1598+962*p^87*q^1602+730*p^128*q^1560+30454*p^126*q^1562+2383040*p^124*q^ 1564+57509760*p^122*q^1566+632367711*p^120*q^1568+7500169538*p^118*q^1570+ 75422044008*p^116*q^1572+662028717728*p^114*q^1574+4320592587041*p^112*q^1576+ 15146745074118*p^110*q^1578+18460759709481*p^108*q^1580+7604970241912*p^106*q^ 1582+1550291605172*p^104*q^1584+227704386638*p^102*q^1586+27767510599*p^100*q^ 1588+2855048730*p^98*q^1590+276494542*p^96*q^1592+12049198*p^94*q^1594+1423636* p^92*q^1596+8520*p^90*q^1598+24*p^88*q^1600+68*p^86*q^1602+1604*p^127*q^1560+ 288714*p^125*q^1562+11524435*p^123*q^1564+176454074*p^121*q^1566+2147284574*p^ 119*q^1568+22796681924*p^117*q^1570+216675021412*p^115*q^1572+1708031776834*p^ 113*q^1574+8754369536849*p^111*q^1576+19423159275202*p^109*q^1578+ 13681629563860*p^107*q^1580+3818478813772*p^105*q^1582+643714791379*p^103*q^ 1584+85811519452*p^101*q^1586+9826735753*p^99*q^1588+930488264*p^97*q^1590+ 69081882*p^95*q^1592+5286278*p^93*q^1594+174898*p^91*q^1596+104*p^89*q^1598+120 *p^128*q^1558+21630*p^126*q^1560+1782162*p^124*q^1562+50954509*p^122*q^1564+ 554415340*p^120*q^1566+6718220978*p^118*q^1568+67849112964*p^116*q^1570+ 599836032365*p^114*q^1572+4018769328502*p^112*q^1574+14666078284606*p^110*q^ 1576+19073003196346*p^108*q^1578+8195435964300*p^106*q^1580+1718535247436*p^104 *q^1582+253792229718*p^102*q^1584+31215200032*p^100*q^1586+3268715202*p^98*q^ 1588+314159140*p^96*q^1590+14575828*p^94*q^1592+1971098*p^92*q^1594+21812*p^90* q^1596+244*p^86*q^1600+5218*p^127*q^1558+228365*p^125*q^1560+10161568*p^123*q^ 1562+160709324*p^121*q^1564+1903213374*p^119*q^1566+20378767523*p^117*q^1568+ 195618676926*p^115*q^1570+1559107280006*p^113*q^1572+8285412133946*p^111*q^1574 +19336463495407*p^109*q^1576+14504105845668*p^107*q^1578+4175346796162*p^105*q^ 1580+717779440398*p^103*q^1582+96177224165*p^101*q^1584+11108219236*p^99*q^1586 +1035625656*p^97*q^1588+88565342*p^95*q^1590+4517130*p^93*q^1592+282360*p^91*q^ 1594+296*p^89*q^1596+4*p^128*q^1556+18412*p^126*q^1558+1441988*p^124*q^1560+ 41236846*p^122*q^1562+492326383*p^120*q^1564+5989083338*p^118*q^1566+ 60659055009*p^116*q^1568+543966678960*p^114*q^1570+3712517554625*p^112*q^1572+ 14221353961076*p^110*q^1574+19556231579336*p^108*q^1576+8865504362914*p^106*q^ 1578+1895968591718*p^104*q^1580+283913445572*p^102*q^1582+34981289992*p^100*q^ 1584+3723616536*p^98*q^1586+351948768*p^96*q^1588+16880698*p^94*q^1590+2211712* p^92*q^1592+22760*p^90*q^1594+4*p^129*q^1554+3032*p^127*q^1556+131452*p^125*q^ 1558+7657090*p^123*q^1560+146777960*p^121*q^1562+1657135497*p^119*q^1564+ 18221358246*p^117*q^1566+175783310803*p^115*q^1568+1427474512820*p^113*q^1570+ 7793691751267*p^111*q^1572+19298516772144*p^109*q^1574+15259242839281*p^107*q^ 1576+4576983931164*p^105*q^1578+795436115265*p^103*q^1580+107725575418*p^101*q^ 1582+12407164438*p^99*q^1584+1162665786*p^97*q^1586+104183442*p^95*q^1588+ 4060762*p^93*q^1590+446836*p^91*q^1592+2264*p^89*q^1594+34*p^85*q^1598+23012*p^ 126*q^1556+1222580*p^124*q^1558+36058416*p^122*q^1560+443286776*p^120*q^1562+ 5356411204*p^118*q^1564+54551064472*p^116*q^1566+491804696180*p^114*q^1568+ 3442547183920*p^112*q^1570+13684438065125*p^110*q^1572+20082250164138*p^108*q^ 1574+9519541434893*p^106*q^1576+2097550950944*p^104*q^1578+316480885294*p^102*q ^1580+39342213084*p^100*q^1582+4253074269*p^98*q^1584+388239904*p^96*q^1586+ 23175182*p^94*q^1588+2087514*p^92*q^1590+38216*p^90*q^1592+380*p^127*q^1554+ 130042*p^125*q^1556+6288022*p^123*q^1558+129405643*p^121*q^1560+1460074264*p^ 119*q^1562+16294550726*p^117*q^1564+158506367152*p^115*q^1566+1300091907909*p^ 113*q^1568+7343811036052*p^111*q^1570+19079833414178*p^109*q^1572+ 16096815014822*p^107*q^1574+4992038037089*p^105*q^1576+886597107148*p^103*q^ 1578+120504189566*p^101*q^1580+13980397724*p^99*q^1582+1331208346*p^97*q^1584+ 125100152*p^95*q^1586+3879230*p^93*q^1588+688012*p^91*q^1590+3344*p^89*q^1592+ 68*p^128*q^1552+28464*p^126*q^1554+818952*p^124*q^1556+29659054*p^122*q^1558+ 400166428*p^120*q^1560+4756991160*p^118*q^1562+48741652931*p^116*q^1564+ 445057676672*p^114*q^1566+3170259843567*p^112*q^1568+13194280577286*p^110*q^ 1570+20457156749623*p^108*q^1572+10258484835458*p^106*q^1574+2311073207565*p^ 104*q^1576+353466576860*p^102*q^1578+44132142994*p^100*q^1580+4820531032*p^98*q ^1582+422252979*p^96*q^1584+29027262*p^94*q^1586+1829940*p^92*q^1588+62964*p^90 *q^1590+88*p^88*q^1592+2*p^84*q^1596+212*p^127*q^1552+96928*p^125*q^1554+ 5244529*p^123*q^1556+112392508*p^121*q^1558+1279151173*p^119*q^1560+14578821012 *p^117*q^1562+142226532778*p^115*q^1564+1187506927840*p^113*q^1566+ 6877768062788*p^111*q^1568+18922629052494*p^109*q^1570+16837856563554*p^107*q^ 1572+5459834391602*p^105*q^1574+981492896156*p^103*q^1576+134962729346*p^101*q^ 1578+15601933811*p^99*q^1580+1519727242*p^97*q^1582+141981152*p^95*q^1584+ 4859064*p^93*q^1586+733090*p^91*q^1588+3096*p^89*q^1590+8*p^128*q^1550+8934*p^ 126*q^1552+679614*p^124*q^1554+24272858*p^122*q^1556+364906116*p^120*q^1558+ 4223622552*p^118*q^1560+43769455510*p^116*q^1562+401960682888*p^114*q^1564+ 2929112088078*p^112*q^1566+12628000059265*p^110*q^1568+20880459294396*p^108*q^ 1570+10968839830326*p^106*q^1572+2552559396072*p^104*q^1574+393646057411*p^102* q^1576+49636427210*p^100*q^1578+5446971878*p^98*q^1580+468715640*p^96*q^1582+ 37295886*p^94*q^1584+1233214*p^92*q^1586+151020*p^90*q^1588+424*p^88*q^1590+546 *p^127*q^1550+145494*p^125*q^1552+4201726*p^123*q^1554+99125558*p^121*q^1556+ 1137785802*p^119*q^1558+13044506227*p^117*q^1560+128208268532*p^115*q^1562+ 1079113950589*p^113*q^1564+6450388938976*p^111*q^1566+18592383547560*p^109*q^ 1568+17666944379598*p^107*q^1570+5936917516370*p^105*q^1572+1092698254694*p^103 *q^1574+150945199539*p^101*q^1576+17597132906*p^99*q^1578+1759488694*p^97*q^ 1580+160287470*p^95*q^1582+6761174*p^93*q^1584+867098*p^91*q^1586+5016*p^89*q^ 1588+4776*p^126*q^1550+509036*p^124*q^1552+20165630*p^122*q^1554+323291148*p^ 120*q^1556+3720133528*p^118*q^1558+39074149125*p^116*q^1560+363134479522*p^114* q^1562+2689123151257*p^112*q^1564+12103439343460*p^110*q^1566+21136703814739*p^ 108*q^1568+11776171903274*p^106*q^1570+2806212972705*p^104*q^1572+439582568306* p^102*q^1574+55620493186*p^100*q^1576+6113592350*p^98*q^1578+522606638*p^96*q^ 1580+45241262*p^94*q^1582+975076*p^92*q^1584+175118*p^90*q^1586+112*p^88*q^1588 +340*p^127*q^1548+93596*p^125*q^1550+3198026*p^123*q^1552+83323742*p^121*q^1554 +1014288861*p^119*q^1556+11662773910*p^117*q^1558+114964433057*p^115*q^1560+ 983613974422*p^113*q^1562+6018012513688*p^111*q^1564+18312320363802*p^109*q^ 1566+18384372521735*p^107*q^1568+6473768002020*p^105*q^1570+1208660513981*p^103 *q^1572+168805149310*p^101*q^1574+19678164673*p^99*q^1576+2016488058*p^97*q^ 1578+171993026*p^95*q^1580+8874180*p^93*q^1582+651956*p^91*q^1584+21700*p^89*q^ 1586+24*p^87*q^1588+3402*p^126*q^1548+538550*p^124*q^1550+17017408*p^122*q^1552 +292831154*p^120*q^1554+3290651040*p^118*q^1556+35104680060*p^116*q^1558+ 327436418440*p^114*q^1560+2477654967314*p^112*q^1562+11520380660043*p^110*q^ 1564+21429861034612*p^108*q^1566+12536986089293*p^106*q^1568+3095681981502*p^ 104*q^1570+488775586143*p^102*q^1572+62570388006*p^100*q^1574+6878612938*p^98*q ^1576+598024406*p^96*q^1578+55059238*p^94*q^1580+1321904*p^92*q^1582+265716*p^ 90*q^1584+180*p^88*q^1586+28*p^127*q^1546+51716*p^125*q^1548+2581648*p^123*q^ 1550+71144153*p^121*q^1552+905622060*p^119*q^1554+10403163760*p^117*q^1556+ 103370916308*p^115*q^1558+891949742060*p^113*q^1560+5621831641072*p^111*q^1562+ 17886203772379*p^109*q^1564+19172739347724*p^107*q^1566+7020705137100*p^105*q^ 1568+1343337099676*p^103*q^1570+188712568509*p^101*q^1572+22210989782*p^99*q^ 1574+2302226731*p^97*q^1576+188289982*p^95*q^1578+11917892*p^93*q^1580+361940*p ^91*q^1582+31758*p^89*q^1584+32*p^128*q^1544+4260*p^126*q^1546+547092*p^124*q^ 1548+13801876*p^122*q^1550+256513018*p^120*q^1552+2916943538*p^118*q^1554+ 31340664267*p^116*q^1556+295732159490*p^114*q^1558+2267865579223*p^112*q^1560+ 10984620852568*p^110*q^1562+21551329738086*p^108*q^1564+13396348133704*p^106*q^ 1566+3396496502863*p^104*q^1568+545628120492*p^102*q^1570+69999054632*p^100*q^ 1572+7699593936*p^98*q^1574+692435061*p^96*q^1576+63128408*p^94*q^1578+1691410* p^92*q^1580+310228*p^90*q^1582+1704*p^88*q^1584+40*p^127*q^1544+28058*p^125*q^ 1546+2028452*p^123*q^1548+59434732*p^121*q^1550+813120362*p^119*q^1552+ 9237568252*p^117*q^1554+92634201122*p^115*q^1556+810909141372*p^113*q^1558+ 5221583600983*p^111*q^1560+17509031178394*p^109*q^1562+19840914408679*p^107*q^ 1564+7632183121436*p^105*q^1566+1484589242795*p^103*q^1568+211004114898*p^101*q ^1570+24941936895*p^99*q^1572+2612159440*p^97*q^1574+202867216*p^95*q^1576+ 14964042*p^93*q^1578+260620*p^91*q^1580+45368*p^89*q^1582+4*p^128*q^1542+1008*p ^126*q^1544+365004*p^124*q^1546+11267028*p^122*q^1548+226050536*p^120*q^1550+ 2576723183*p^118*q^1552+28183813510*p^116*q^1554+266265527136*p^114*q^1556+ 2084295010292*p^112*q^1558+10403110507883*p^110*q^1560+21712647202644*p^108*q^ 1562+14197004734136*p^106*q^1564+3736895230806*p^104*q^1566+606101878613*p^102* q^1568+78552375884*p^100*q^1570+8593796827*p^98*q^1572+801872398*p^96*q^1574+ 69604238*p^94*q^1576+2600806*p^92*q^1578+208138*p^90*q^1580+4796*p^88*q^1582+ 472*p^127*q^1542+29520*p^125*q^1544+2217890*p^123*q^1546+51403501*p^121*q^1548+ 733615044*p^119*q^1550+8244990363*p^117*q^1552+83272099394*p^115*q^1554+ 734103346301*p^113*q^1556+4860188582508*p^111*q^1558+16985127080187*p^109*q^ 1560+20573442487552*p^107*q^1562+8248827713309*p^105*q^1564+1648607477670*p^103 *q^1566+235766663054*p^101*q^1568+28203708746*p^99*q^1570+2982654813*p^97*q^ 1572+230518930*p^95*q^1574+19904204*p^93*q^1576+271974*p^91*q^1578+93594*p^89*q ^1580+48*p^87*q^1582+24*p^128*q^1540+876*p^126*q^1542+237886*p^124*q^1544+ 8547448*p^122*q^1546+192028767*p^120*q^1548+2278258060*p^118*q^1550+25077769484 *p^116*q^1552+239974080452*p^114*q^1554+1902353039508*p^112*q^1556+ 9867826887224*p^110*q^1558+21694149112907*p^108*q^1560+15102103627030*p^106*q^ 1562+4092789558287*p^104*q^1564+675818020524*p^102*q^1566+87831228590*p^100*q^ 1568+9660547784*p^98*q^1570+918673201*p^96*q^1572+74093090*p^94*q^1574+3168980* p^92*q^1576+113394*p^90*q^1578+3712*p^88*q^1580+104*p^127*q^1540+16350*p^125*q^ 1542+1827911*p^123*q^1544+43081606*p^121*q^1546+654712685*p^119*q^1548+ 7326072684*p^117*q^1550+74619637089*p^115*q^1552+666509553004*p^113*q^1554+ 4498741101692*p^111*q^1556+16530698163986*p^109*q^1558+21152562682370*p^107*q^ 1560+8937955887186*p^105*q^1562+1818465116250*p^103*q^1564+263288769928*p^101*q ^1566+31610349625*p^99*q^1568+3311667394*p^97*q^1570+261652983*p^95*q^1572+ 23438054*p^93*q^1574+457988*p^91*q^1576+88532*p^89*q^1578+500*p^87*q^1580+4*p^ 128*q^1538+3004*p^126*q^1540+165304*p^124*q^1542+7920166*p^122*q^1544+167500428 *p^120*q^1546+2044530096*p^118*q^1548+22502181130*p^116*q^1550+215922056616*p^ 114*q^1552+1743338517966*p^112*q^1554+9299199114684*p^110*q^1556+21712811892462 *p^108*q^1558+15925613521471*p^106*q^1560+4494802494124*p^104*q^1562+ 750514404667*p^102*q^1564+98692655290*p^100*q^1566+10876556742*p^98*q^1568+ 1084297186*p^96*q^1570+80439860*p^94*q^1572+4736208*p^92*q^1574+49180*p^90*q^ 1576+16404*p^88*q^1578+372*p^127*q^1538+9744*p^125*q^1540+1452842*p^123*q^1542+ 34622040*p^121*q^1544+580407030*p^119*q^1546+6475953245*p^117*q^1548+ 67005008352*p^115*q^1550+602203168980*p^113*q^1552+4171013469662*p^111*q^1554+ 15944693154903*p^109*q^1556+21805023621014*p^107*q^1558+9623415385815*p^105*q^ 1560+2016057548296*p^103*q^1562+293783196402*p^101*q^1564+35590821646*p^99*q^ 1566+3709691364*p^97*q^1568+297726398*p^95*q^1570+26591912*p^93*q^1572+594554*p ^91*q^1574+69708*p^89*q^1576+104*p^87*q^1578+24*p^128*q^1536+1668*p^126*q^1538+ 141426*p^124*q^1540+7177778*p^122*q^1542+145741898*p^120*q^1544+1823845688*p^ 118*q^1546+20085321306*p^116*q^1548+194481193422*p^114*q^1550+1587660723232*p^ 112*q^1552+8778345528140*p^110*q^1554+21551859177197*p^108*q^1556+ 16856626684194*p^106*q^1558+4909334026712*p^104*q^1560+836220255156*p^102*q^ 1562+110257804400*p^100*q^1564+12302299120*p^98*q^1566+1239570925*p^96*q^1568+ 88769358*p^94*q^1570+6426564*p^92*q^1572+58218*p^90*q^1574+23116*p^88*q^1576+24 *p^86*q^1578+104*p^127*q^1536+13628*p^125*q^1538+954362*p^123*q^1540+28613394*p ^121*q^1542+503659845*p^119*q^1544+5747512990*p^117*q^1546+59896508450*p^115*q^ 1548+545451239136*p^113*q^1550+3848150529145*p^111*q^1552+15415910518940*p^109* q^1554+22287011954806*p^107*q^1556+10391632632052*p^105*q^1558+2221556969144*p^ 103*q^1560+328198532028*p^101*q^1562+39872947179*p^99*q^1564+4125611086*p^97*q^ 1566+349273515*p^95*q^1568+28432306*p^93*q^1570+786582*p^91*q^1572+25060*p^89*q ^1574+1460*p^87*q^1576+4*p^128*q^1534+2584*p^126*q^1536+81458*p^124*q^1538+ 6348010*p^122*q^1540+123893220*p^120*q^1542+1646035556*p^118*q^1544+17977368296 *p^116*q^1546+174844817778*p^114*q^1548+1451911403646*p^112*q^1550+ 8236367664591*p^110*q^1552+21430165315708*p^108*q^1554+17683537459578*p^106*q^ 1556+5378619541718*p^104*q^1558+927085438876*p^102*q^1560+123529463200*p^100*q^ 1562+13866474907*p^98*q^1564+1406452642*p^96*q^1566+95440479*p^94*q^1568+ 8207336*p^92*q^1570+112100*p^90*q^1572+27256*p^88*q^1574+364*p^127*q^1534+13358 *p^125*q^1536+818022*p^123*q^1538+25592047*p^121*q^1540+447575554*p^119*q^1542+ 5100296426*p^117*q^1544+53812671108*p^115*q^1546+492247153681*p^113*q^1548+ 3555981764154*p^111*q^1550+14787334820125*p^109*q^1552+22818087260610*p^107*q^ 1554+11146292890324*p^105*q^1556+2459272413820*p^103*q^1558+365996296638*p^101* q^1560+44988075086*p^99*q^1562+4637353058*p^97*q^1564+421276390*p^95*q^1566+ 32697030*p^93*q^1568+1332716*p^91*q^1570+5532*p^89*q^1572+3744*p^87*q^1574+1720 *p^126*q^1534+72680*p^124*q^1536+4942884*p^122*q^1538+102057366*p^120*q^1540+ 1453230718*p^118*q^1542+15971372690*p^116*q^1544+157181270388*p^114*q^1546+ 1318415737327*p^112*q^1548+7738750422026*p^110*q^1550+21137374876190*p^108*q^ 1552+18617523595698*p^106*q^1554+5860586586834*p^104*q^1556+1032037693300*p^102 *q^1558+138073223566*p^100*q^1560+15616324948*p^98*q^1562+1571477856*p^96*q^ 1564+105544378*p^94*q^1566+8981398*p^92*q^1568+95724*p^90*q^1570+18076*p^88*q^ 1572+44*p^86*q^1574+112*p^127*q^1532+12564*p^125*q^1534+563976*p^123*q^1536+ 22459238*p^121*q^1538+391450960*p^119*q^1540+4555507028*p^117*q^1542+ 48107281231*p^115*q^1544+445558669530*p^113*q^1546+3269398356309*p^111*q^1548+ 14220032287642*p^109*q^1550+23180619877942*p^107*q^1552+11985581405734*p^105*q^ 1554+2704646215436*p^103*q^1556+408575438474*p^101*q^1558+50220861647*p^99*q^ 1560+5217740122*p^97*q^1562+491611934*p^95*q^1564+33710326*p^93*q^1566+1967678* p^91*q^1568+17580*p^89*q^1570+5606*p^87*q^1572+2444*p^126*q^1532+67252*p^124*q^ 1534+3877326*p^122*q^1536+88417044*p^120*q^1538+1291914368*p^118*q^1540+ 14249521506*p^116*q^1542+141239603394*p^114*q^1544+1202639633142*p^112*q^1546+ 7227920234384*p^110*q^1548+20879552219994*p^108*q^1550+19429509649350*p^106*q^ 1552+6402589135778*p^104*q^1554+1143599824651*p^102*q^1556+154734667774*p^100*q ^1558+17663029365*p^98*q^1560+1752694234*p^96*q^1562+125456830*p^94*q^1564+ 11031186*p^92*q^1566+195446*p^90*q^1568+2348*p^88*q^1570+368*p^86*q^1572+40*p^ 127*q^1530+14512*p^125*q^1532+442594*p^123*q^1534+20115937*p^121*q^1536+ 338086286*p^119*q^1538+4076851921*p^117*q^1540+43217359876*p^115*q^1542+ 401289546353*p^113*q^1544+3013650962878*p^111*q^1546+13557359238027*p^109*q^ 1548+23589597587680*p^107*q^1550+12802792114484*p^105*q^1552+2988661414230*p^ 103*q^1554+454946676823*p^101*q^1556+56496032940*p^99*q^1558+5874004981*p^97*q^ 1560+574668284*p^95*q^1562+35029968*p^93*q^1564+2449836*p^91*q^1566+13808*p^89* q^1568+8116*p^87*q^1570+4*p^128*q^1528+1708*p^126*q^1530+60476*p^124*q^1532+ 3107908*p^122*q^1534+75185997*p^120*q^1536+1146568152*p^118*q^1538+12620741172* p^116*q^1540+126761393692*p^114*q^1542+1090318833095*p^112*q^1544+6762185056292 *p^110*q^1546+20456838572126*p^108*q^1548+20340044589192*p^106*q^1550+ 6958221496411*p^104*q^1552+1271675804132*p^102*q^1554+172904830079*p^100*q^1556 +19924463270*p^98*q^1558+1955455648*p^96*q^1560+150071232*p^94*q^1562+12437546* p^92*q^1564+333994*p^90*q^1566+1632*p^88*q^1568+524*p^86*q^1570+12*p^127*q^1528 +11658*p^125*q^1530+324026*p^123*q^1532+16151516*p^121*q^1534+289108820*p^119*q ^1536+3621720204*p^117*q^1538+38578976504*p^115*q^1540+362723743726*p^113*q^ 1542+2761931481567*p^111*q^1544+12968961238464*p^109*q^1546+23800600355706*p^ 107*q^1548+13714540432604*p^105*q^1550+3281446025936*p^103*q^1552+507321810198* p^101*q^1554+63080889073*p^99*q^1556+6632232048*p^97*q^1558+645655660*p^95*q^ 1560+36761780*p^93*q^1562+2893286*p^91*q^1564+17718*p^89*q^1566+2164*p^87*q^ 1568+16*p^85*q^1570+744*p^126*q^1528+72544*p^124*q^1530+2398576*p^122*q^1532+ 67959924*p^120*q^1534+1017308836*p^118*q^1536+11301282748*p^116*q^1538+ 113840564666*p^114*q^1540+992506627150*p^112*q^1542+6292006326433*p^110*q^1544+ 20084184795922*p^108*q^1546+21099550448787*p^106*q^1548+7578312848624*p^104*q^ 1550+1407110920488*p^102*q^1552+193775472510*p^100*q^1554+22392023554*p^98*q^ 1556+2176987444*p^96*q^1558+186351744*p^94*q^1560+13064286*p^92*q^1562+554638*p ^90*q^1564+2740*p^88*q^1566+1964*p^86*q^1568+68*p^127*q^1526+13456*p^125*q^1528 +292774*p^123*q^1530+13760850*p^121*q^1532+249257570*p^119*q^1534+3235737403*p^ 117*q^1536+34544696580*p^115*q^1538+326417552504*p^113*q^1540+2536818935956*p^ 111*q^1542+12301537264533*p^109*q^1544+24064472156890*p^107*q^1546+ 14580713944986*p^105*q^1548+3620611158616*p^103*q^1550+564983258748*p^101*q^ 1552+70937817380*p^99*q^1554+7553901642*p^97*q^1556+740106014*p^95*q^1558+ 41108160*p^93*q^1560+3920480*p^91*q^1562+38174*p^89*q^1564+56*p^87*q^1566+16*p^ 85*q^1568+344*p^126*q^1526+57006*p^124*q^1528+1777900*p^122*q^1530+58511530*p^ 120*q^1532+886786046*p^118*q^1534+10023258239*p^116*q^1536+102215104410*p^114*q ^1538+897720161384*p^112*q^1540+5862868650630*p^110*q^1542+19556454005122*p^108 *q^1544+21968603629304*p^106*q^1546+8206676942937*p^104*q^1548+1562511552538*p^ 102*q^1550+216050202035*p^100*q^1552+25151072672*p^98*q^1554+2418598196*p^96*q^ 1556+216458072*p^94*q^1558+13126496*p^92*q^1560+609322*p^90*q^1562+700*p^88*q^ 1564+1188*p^86*q^1566+36*p^127*q^1524+7472*p^125*q^1526+289004*p^123*q^1528+ 10965596*p^121*q^1530+215692008*p^119*q^1532+2881665624*p^117*q^1534+ 30813260623*p^115*q^1536+294429475690*p^113*q^1538+2319705925622*p^111*q^1540+ 11698661158074*p^109*q^1542+24129753741965*p^107*q^1544+15547043661594*p^105*q^ 1546+3967172375215*p^103*q^1548+629908343770*p^101*q^1550+79363029947*p^99*q^ 1552+8559950494*p^97*q^1554+817616951*p^95*q^1556+51423178*p^93*q^1558+4420774* p^91*q^1560+87726*p^89*q^1562+384*p^87*q^1564+224*p^85*q^1566+552*p^126*q^1524+ 64884*p^124*q^1526+1379398*p^122*q^1528+50846282*p^120*q^1530+776413519*p^118*q ^1532+8975799778*p^116*q^1534+91620137385*p^114*q^1536+816092025928*p^112*q^ 1538+5433402241406*p^110*q^1540+19076401092980*p^108*q^1542+22658445789457*p^ 106*q^1544+8914142991038*p^104*q^1546+1726524168022*p^102*q^1548+241831869104*p ^100*q^1550+28198147742*p^98*q^1552+2734721816*p^96*q^1554+257808146*p^94*q^ 1556+12304218*p^92*q^1558+912310*p^90*q^1560+2930*p^88*q^1562+4880*p^125*q^1524 +262198*p^123*q^1526+8937410*p^121*q^1528+190655414*p^119*q^1530+2566608041*p^ 117*q^1532+27526487076*p^115*q^1534+264845917246*p^113*q^1536+2125001739756*p^ 111*q^1538+11044578027500*p^109*q^1540+24226373300098*p^107*q^1542+ 16452959934006*p^105*q^1544+4366467045534*p^103*q^1546+700318061057*p^101*q^ 1548+89259508142*p^99*q^1550+9698392386*p^97*q^1552+904048174*p^95*q^1554+ 63693162*p^93*q^1556+5170350*p^91*q^1558+122406*p^89*q^1560+368*p^85*q^1564+738 *p^126*q^1522+51640*p^124*q^1524+1248380*p^122*q^1526+42867326*p^120*q^1528+ 674219796*p^118*q^1530+7975519290*p^116*q^1532+82263336256*p^114*q^1534+ 736681092367*p^112*q^1536+5044429911428*p^110*q^1538+18461565074407*p^108*q^ 1540+23441179676652*p^106*q^1542+9622603999648*p^104*q^1544+1915608906630*p^102 *q^1546+269754028756*p^100*q^1548+31654755422*p^98*q^1550+3098078356*p^96*q^ 1552+300079292*p^94*q^1554+13165724*p^92*q^1556+1149976*p^90*q^1558+7628*p^88*q ^1560+24*p^86*q^1562+8*p^84*q^1564+3452*p^125*q^1522+249296*p^123*q^1524+ 6553760*p^121*q^1526+165912010*p^119*q^1528+2264861350*p^117*q^1530+24516533971 *p^115*q^1532+238470883340*p^113*q^1534+1937143107186*p^111*q^1536+ 10452896678526*p^109*q^1538+24138748231825*p^107*q^1540+17457221136318*p^105*q^ 1542+4774731532948*p^103*q^1544+780179764042*p^101*q^1546+99685621303*p^99*q^ 1548+10921675432*p^97*q^1550+990289138*p^95*q^1552+76143214*p^93*q^1554+4645618 *p^91*q^1556+149356*p^89*q^1558+120*p^87*q^1560+108*p^126*q^1520+38480*p^124*q^ 1522+1047198*p^122*q^1524+36703856*p^120*q^1526+590184201*p^118*q^1528+ 7151973354*p^116*q^1530+73700794518*p^114*q^1532+668633307528*p^112*q^1534+ 4658643383051*p^110*q^1536+17902707690436*p^108*q^1538+24033699899399*p^106*q^ 1540+10410390396984*p^104*q^1542+2113814848030*p^102*q^1544+301666458854*p^100* q^1546+35497155998*p^98*q^1548+3550076636*p^96*q^1550+337218245*p^94*q^1552+ 16498020*p^92*q^1554+1649554*p^90*q^1556+21492*p^88*q^1558+60*p^84*q^1562+6310* p^125*q^1520+252306*p^123*q^1522+5737586*p^121*q^1524+146498730*p^119*q^1526+ 2004740776*p^117*q^1528+21932341658*p^115*q^1530+214221760486*p^113*q^1532+ 1770724501822*p^111*q^1534+9816966984175*p^109*q^1536+24079933757514*p^107*q^ 1538+18381044591892*p^105*q^1540+5243495166576*p^103*q^1542+866845319803*p^101* q^1544+112076359514*p^99*q^1546+12329407056*p^97*q^1548+1101970652*p^95*q^1550+ 97489125*p^93*q^1552+4272376*p^91*q^1554+218160*p^89*q^1556+252*p^87*q^1558+48* p^126*q^1518+24792*p^124*q^1520+943834*p^122*q^1522+28957966*p^120*q^1524+ 513536870*p^118*q^1526+6350104053*p^116*q^1528+65959976102*p^114*q^1530+ 602665500005*p^112*q^1532+4309101610160*p^110*q^1534+17217891121210*p^108*q^ 1536+24715304504982*p^106*q^1538+11198651993574*p^104*q^1540+2341828485386*p^ 102*q^1542+336146793843*p^100*q^1544+39896434578*p^98*q^1546+4028541076*p^96*q^ 1548+373987940*p^94*q^1550+18999236*p^92*q^1552+1755574*p^90*q^1554+19890*p^88* q^1556+4*p^127*q^1516+2644*p^125*q^1518+204508*p^123*q^1520+4398144*p^121*q^ 1522+126932248*p^119*q^1524+1761826498*p^117*q^1526+19520542897*p^115*q^1528+ 192934759006*p^113*q^1530+1610387220257*p^111*q^1532+9250246246660*p^109*q^1534 +23831597146991*p^107*q^1536+19405865185348*p^105*q^1538+5719411974987*p^103*q^ 1540+964152910790*p^101*q^1542+125154573549*p^99*q^1544+13799987532*p^97*q^1546 +1232803598*p^95*q^1548+113802326*p^93*q^1550+4289542*p^91*q^1552+361966*p^89*q ^1554+2296*p^87*q^1556+4*p^83*q^1560+32708*p^124*q^1518+960900*p^122*q^1520+ 24318582*p^120*q^1522+455698719*p^118*q^1524+5673597146*p^116*q^1526+ 59088366989*p^114*q^1528+545940842828*p^112*q^1530+3966592275733*p^110*q^1532+ 16600227629086*p^108*q^1534+25171675352193*p^106*q^1536+12073749768174*p^104*q^ 1538+2580138658082*p^102*q^1540+376144897006*p^100*q^1542+44759903013*p^98*q^ 1544+4616590734*p^96*q^1546+409261374*p^94*q^1548+26114562*p^92*q^1550+1684872* p^90*q^1552+29408*p^88*q^1554+1060*p^125*q^1516+162574*p^123*q^1518+3712010*p^ 121*q^1520+109181722*p^119*q^1522+1544923272*p^117*q^1524+17472271416*p^115*q^ 1526+173063940796*p^113*q^1528+1468276583598*p^111*q^1530+8648725384064*p^109*q ^1532+23621148775910*p^107*q^1534+20322736744133*p^105*q^1536+6264755406438*p^ 103*q^1538+1070508389045*p^101*q^1540+140376161930*p^99*q^1542+15529276637*p^97 *q^1544+1408361760*p^95*q^1546+134372683*p^93*q^1548+4370628*p^91*q^1550+525240 *p^89*q^1552+2968*p^87*q^1554+88*p^126*q^1514+26468*p^124*q^1516+858980*p^122*q ^1518+19716718*p^120*q^1520+399112486*p^118*q^1522+5029226961*p^116*q^1524+ 52825208846*p^114*q^1526+491476484441*p^112*q^1528+3657101528596*p^110*q^1530+ 15876699369077*p^108*q^1532+25725384277968*p^106*q^1534+12929649941196*p^104*q^ 1536+2854646536218*p^102*q^1538+418534187153*p^100*q^1540+50377470824*p^98*q^ 1542+5210639547*p^96*q^1544+441577030*p^94*q^1546+32885126*p^92*q^1548+1560504* p^90*q^1550+49608*p^88*q^1552+92*p^86*q^1554+260*p^125*q^1514+140534*p^123*q^ 1516+3403524*p^121*q^1518+91055308*p^119*q^1520+1358703064*p^117*q^1522+ 15572182072*p^115*q^1524+155670873234*p^113*q^1526+1332634993028*p^111*q^1528+ 8109759483816*p^109*q^1530+23226867843767*p^107*q^1532+21342003809314*p^105*q^ 1534+6816217098516*p^103*q^1536+1189930072740*p^101*q^1538+156715325044*p^99*q^ 1540+17391407772*p^97*q^1542+1608004616*p^95*q^1544+152042032*p^93*q^1546+ 5577906*p^91*q^1548+536088*p^89*q^1550+2544*p^87*q^1552+16*p^126*q^1512+12782*p ^124*q^1514+770602*p^122*q^1516+15380274*p^120*q^1518+353137700*p^118*q^1520+ 4467975834*p^116*q^1522+47207420892*p^114*q^1524+444474491172*p^112*q^1526+ 3356308727103*p^110*q^1528+15216942741906*p^108*q^1530+26041883340378*p^106*q^ 1532+13886230276306*p^104*q^1534+3138930679934*p^102*q^1536+467777130200*p^100* q^1538+56514790404*p^98*q^1540+5901699854*p^96*q^1542+484969982*p^94*q^1544+ 40990922*p^92*q^1546+1188384*p^90*q^1548+114754*p^88*q^1550+392*p^86*q^1552+768 *p^125*q^1512+153080*p^123*q^1514+3184838*p^121*q^1516+79050940*p^119*q^1518+ 1201041194*p^117*q^1520+13941362514*p^115*q^1522+139654721378*p^113*q^1524+ 1212919399666*p^111*q^1526+7552543444672*p^109*q^1528+22868149279438*p^107*q^ 1530+22222494361523*p^105*q^1532+7445579210852*p^103*q^1534+1319215344613*p^101 *q^1536+175799226480*p^99*q^1538+19562046114*p^97*q^1540+1863063880*p^95*q^1542 +169133519*p^93*q^1544+8076172*p^91*q^1546+649074*p^89*q^1548+3844*p^87*q^1550+ 6064*p^124*q^1512+625728*p^122*q^1514+12998132*p^120*q^1516+304147800*p^118*q^ 1518+3934187494*p^116*q^1520+42184213280*p^114*q^1522+399474793456*p^112*q^1524 +3083794568202*p^110*q^1526+14476051411020*p^108*q^1528+26428499563900*p^106*q^ 1530+14812619067246*p^104*q^1532+3466769673856*p^102*q^1534+520565627182*p^100* q^1536+63510927624*p^98*q^1538+6627489811*p^96*q^1540+540553124*p^94*q^1542+ 49573970*p^92*q^1544+1060268*p^90*q^1546+119132*p^88*q^1548+112*p^86*q^1550+10* p^127*q^1508+472*p^125*q^1510+100520*p^123*q^1512+2871558*p^121*q^1514+63053758 *p^119*q^1516+1057894314*p^117*q^1518+12398881982*p^115*q^1520+125440073470*p^ 113*q^1522+1098203900792*p^111*q^1524+7054583330256*p^109*q^1526+22348218790094 *p^107*q^1528+23207016819274*p^105*q^1530+8075188026482*p^103*q^1532+ 1465659920686*p^101*q^1534+195927260958*p^99*q^1536+21957514480*p^97*q^1538+ 2119970120*p^95*q^1540+178541274*p^93*q^1542+10219514*p^91*q^1544+475862*p^89*q ^1546+16668*p^87*q^1548+24*p^85*q^1550+4424*p^124*q^1510+636990*p^122*q^1512+ 11393784*p^120*q^1514+268920559*p^118*q^1516+3496679784*p^116*q^1518+ 37777761125*p^114*q^1520+360956390542*p^112*q^1522+2822103752334*p^110*q^1524+ 13799111725472*p^108*q^1526+26588679392423*p^106*q^1528+15829927747766*p^104*q^ 1530+3806387966852*p^102*q^1532+580938895196*p^100*q^1534+71221552262*p^98*q^ 1536+7467906774*p^96*q^1538+619239729*p^94*q^1540+60028180*p^92*q^1542+1627531* p^90*q^1544+192692*p^88*q^1546+140*p^86*q^1548+6*p^127*q^1506+36*p^125*q^1508+ 64208*p^123*q^1510+2578088*p^121*q^1512+52442684*p^119*q^1514+930828176*p^117*q ^1516+11065468470*p^115*q^1518+112232507402*p^113*q^1520+997770897436*p^111*q^ 1522+6540507407389*p^109*q^1524+21867354856944*p^107*q^1526+24025690546099*p^ 105*q^1528+8795612803888*p^103*q^1530+1622391346047*p^101*q^1532+219841588006*p ^99*q^1534+24759312850*p^97*q^1536+2432826208*p^95*q^1538+192066058*p^93*q^1540 +13549502*p^91*q^1542+300286*p^89*q^1544+20420*p^87*q^1546+130*p^126*q^1506+ 5528*p^124*q^1508+541412*p^122*q^1510+10162674*p^120*q^1512+229437506*p^118*q^ 1514+3085583638*p^116*q^1516+33735915834*p^114*q^1518+324280208495*p^112*q^1520 +2586415825302*p^110*q^1522+13054054817977*p^108*q^1524+26808684795052*p^106*q^ 1526+16812315895901*p^104*q^1528+4193900735108*p^102*q^1530+646184446899*p^100* q^1532+79886660474*p^98*q^1534+8342925436*p^96*q^1536+712184908*p^94*q^1538+ 67683732*p^92*q^1540+2111670*p^90*q^1542+194918*p^88*q^1544+1320*p^86*q^1546+16 *p^127*q^1504+20*p^125*q^1506+31488*p^123*q^1508+2324644*p^121*q^1510+42362620* p^119*q^1512+821381120*p^117*q^1514+9802560992*p^115*q^1516+100724079832*p^113* q^1518+901502286894*p^111*q^1520+6085414639816*p^109*q^1522+21230222378520*p^ 107*q^1524+24946025939272*p^105*q^1526+9510766906755*p^103*q^1528+1800634388602 *p^101*q^1530+244866442933*p^99*q^1532+27893318856*p^97*q^1534+2755196865*p^95* q^1536+206566434*p^93*q^1538+16883902*p^91*q^1540+283536*p^89*q^1542+33480*p^87 *q^1544+102*p^126*q^1504+1396*p^124*q^1506+421384*p^122*q^1508+9189630*p^120*q^ 1510+195995544*p^118*q^1512+2731780790*p^116*q^1514+30195042765*p^114*q^1516+ 292649749030*p^112*q^1518+2360909292205*p^110*q^1520+12385596387280*p^108*q^ 1522+26783296862475*p^106*q^1524+17886887616022*p^104*q^1526+4594728213618*p^ 102*q^1528+720451735552*p^100*q^1530+89434755646*p^98*q^1532+9349696000*p^96*q^ 1534+824057364*p^94*q^1536+72817930*p^92*q^1538+3148458*p^90*q^1540+135284*p^88 *q^1542+3092*p^86*q^1544+676*p^125*q^1504+36850*p^123*q^1506+2205862*p^121*q^ 1508+37200170*p^119*q^1510+727500458*p^117*q^1512+8756822898*p^115*q^1514+ 90134350438*p^113*q^1516+817245015196*p^111*q^1518+5622394276807*p^109*q^1520+ 20643804851794*p^107*q^1522+25664789128716*p^105*q^1524+10324068351170*p^103*q^ 1526+1991429318344*p^101*q^1528+274636770834*p^99*q^1530+31439179969*p^97*q^ 1532+3151315670*p^95*q^1534+232414099*p^93*q^1536+22285190*p^91*q^1538+365845*p ^89*q^1540+56814*p^87*q^1542+40*p^85*q^1544+272*p^126*q^1502+596*p^124*q^1504+ 250438*p^122*q^1506+8143382*p^120*q^1508+160403170*p^118*q^1510+2397729638*p^ 116*q^1512+26902306008*p^114*q^1514+262358703693*p^112*q^1516+2157777634350*p^ 110*q^1518+11658884831553*p^108*q^1520+26838419854754*p^106*q^1522+ 18895499105042*p^104*q^1524+5054083362968*p^102*q^1526+800552141995*p^100*q^ 1528+100194862420*p^98*q^1530+10512995752*p^96*q^1532+944377172*p^94*q^1534+ 76245176*p^92*q^1536+3783156*p^90*q^1538+82220*p^88*q^1540+2836*p^86*q^1542+4*p ^127*q^1500+892*p^125*q^1502+20104*p^123*q^1504+1940634*p^121*q^1506+32015306*p ^119*q^1508+638453756*p^117*q^1510+7770139572*p^115*q^1512+80874211840*p^113*q^ 1514+737853595965*p^111*q^1516+5210084647788*p^109*q^1518+19926860780359*p^107* q^1520+26484351775236*p^105*q^1522+11122235207011*p^103*q^1524+2206410631904*p^ 101*q^1526+305696729511*p^99*q^1528+35384668056*p^97*q^1530+3490041800*p^95*q^ 1532+263225800*p^93*q^1534+25906224*p^91*q^1536+596480*p^89*q^1538+48928*p^87*q ^1540+332*p^85*q^1542+36*p^126*q^1500+1918*p^124*q^1502+195056*p^122*q^1504+ 7638180*p^120*q^1506+135263482*p^118*q^1508+2135434728*p^116*q^1510+24014568084 *p^114*q^1512+236468400918*p^112*q^1514+1964170614948*p^110*q^1516+ 11003137539014*p^108*q^1518+26642892712365*p^106*q^1520+20012142043922*p^104*q^ 1522+5523468511934*p^102*q^1524+892663604826*p^100*q^1526+112244717086*p^98*q^ 1528+11871614440*p^96*q^1530+1112728600*p^94*q^1532+81203428*p^92*q^1534+ 5481380*p^90*q^1536+55554*p^88*q^1538+10488*p^86*q^1540+2110*p^125*q^1500+8912* p^123*q^1502+1500237*p^121*q^1504+28024586*p^119*q^1506+554339921*p^117*q^1508+ 6887243018*p^115*q^1510+72355754910*p^113*q^1512+667944069204*p^111*q^1514+ 4798330065014*p^109*q^1516+19255253599968*p^107*q^1518+27085007840541*p^105*q^ 1520+12029434625206*p^103*q^1522+2435520069863*p^101*q^1524+342244570702*p^99*q ^1526+39710191870*p^97*q^1528+3923004932*p^95*q^1530+298285976*p^93*q^1532+ 28739566*p^91*q^1534+798514*p^89*q^1536+42564*p^87*q^1538+72*p^85*q^1540+80*p^ 126*q^1498+4386*p^124*q^1500+159600*p^122*q^1502+7081980*p^120*q^1504+115977710 *p^118*q^1506+1886528864*p^116*q^1508+21458351440*p^114*q^1510+211881818542*p^ 112*q^1512+1791108589928*p^110*q^1514+10310233212122*p^108*q^1516+ 26505519303452*p^106*q^1518+21033744541722*p^104*q^1520+6061644876234*p^102*q^ 1522+990948110039*p^100*q^1524+125863521240*p^98*q^1526+13427115013*p^96*q^1528 +1274754508*p^94*q^1530+88170380*p^92*q^1532+7577498*p^90*q^1534+80654*p^88*q^ 1536+10900*p^86*q^1538+16*p^84*q^1540+928*p^125*q^1498+6350*p^123*q^1500+ 1022334*p^121*q^1502+24906128*p^119*q^1504+466204542*p^117*q^1506+6083732330*p^ 115*q^1508+64690663114*p^113*q^1510+601557025324*p^111*q^1512+4431366585596*p^ 109*q^1514+18477933830719*p^107*q^1516+27771478067920*p^105*q^1518+ 12914548077075*p^103*q^1520+2696062065258*p^101*q^1522+381000887578*p^99*q^1524 +44567872312*p^97*q^1526+4360802864*p^95*q^1528+348875422*p^93*q^1530+30019404* p^91*q^1532+948230*p^89*q^1534+13807*p^87*q^1536+1088*p^85*q^1538+12*p^126*q^ 1496+9986*p^124*q^1498+86132*p^122*q^1500+6403718*p^120*q^1502+98316944*p^118*q ^1504+1689694330*p^116*q^1506+19150978030*p^114*q^1508+190952005502*p^112*q^ 1510+1627359443460*p^110*q^1512+9688744226576*p^108*q^1514+26149985875844*p^106 *q^1516+22149042779868*p^104*q^1518+6607899491034*p^102*q^1520+1103178646312*p^ 100*q^1522+140572467110*p^98*q^1524+15199307762*p^96*q^1526+1440551701*p^94*q^ 1528+94339028*p^92*q^1530+9429788*p^90*q^1532+170198*p^88*q^1534+16144*p^86*q^ 1536+752*p^125*q^1496+13136*p^123*q^1498+891370*p^121*q^1500+23252750*p^119*q^ 1502+405017478*p^117*q^1504+5405158238*p^115*q^1506+57866650056*p^113*q^1508+ 543825884042*p^111*q^1510+4066424839035*p^109*q^1512+17752715791576*p^107*q^ 1514+28218907116336*p^105*q^1516+13910325998252*p^103*q^1518+2972212147243*p^ 101*q^1520+426597210634*p^99*q^1522+50148753116*p^97*q^1524+4925431698*p^95*q^ 1526+421550895*p^93*q^1528+33548230*p^91*q^1530+1646656*p^89*q^1532+6664*p^87*q ^1534+1500*p^85*q^1536+8832*p^124*q^1496+53390*p^122*q^1498+4897474*p^120*q^ 1500+83911544*p^118*q^1502+1466534906*p^116*q^1504+17027855468*p^114*q^1506+ 170760070594*p^112*q^1508+1480243282258*p^110*q^1510+9034739272748*p^108*q^1512 +25852623766932*p^106*q^1514+23159219213703*p^104*q^1516+7232575685454*p^102*q^ 1518+1223370694573*p^100*q^1520+157574123170*p^98*q^1522+17073089346*p^96*q^ 1524+1611002608*p^94*q^1526+102703472*p^92*q^1528+10243670*p^90*q^1530+131712*p ^88*q^1532+7594*p^86*q^1534+44*p^84*q^1536+342*p^125*q^1494+32092*p^123*q^1496+ 591690*p^121*q^1498+21552135*p^119*q^1500+343342876*p^117*q^1502+4800448795*p^ 115*q^1504+51803649170*p^113*q^1506+489493685500*p^111*q^1508+3744628956450*p^ 109*q^1510+16938120104695*p^107*q^1512+28751281460766*p^105*q^1514+ 14871881766495*p^103*q^1516+3282853817990*p^101*q^1518+474631115833*p^99*q^1520 +56146684908*p^97*q^1522+5553355246*p^95*q^1524+491531918*p^93*q^1526+33813402* p^91*q^1528+2435828*p^89*q^1530+28558*p^87*q^1532+3386*p^85*q^1534+5480*p^124*q ^1494+38408*p^122*q^1496+4088982*p^120*q^1498+74789960*p^118*q^1500+1291566182* p^116*q^1502+15150441583*p^114*q^1504+153695954166*p^112*q^1506+1341581821363*p ^110*q^1508+8453930711250*p^108*q^1510+25329388571459*p^106*q^1512+ 24260794498232*p^104*q^1514+7862914916465*p^102*q^1516+1361642621594*p^100*q^ 1518+176080421703*p^98*q^1520+19355530342*p^96*q^1522+1795751923*p^94*q^1524+ 122417030*p^92*q^1526+12189042*p^90*q^1528+245062*p^88*q^1530+690*p^86*q^1532+ 144*p^84*q^1534+60*p^125*q^1492+44976*p^123*q^1494+421252*p^121*q^1496+19048446 *p^119*q^1498+292832255*p^117*q^1500+4272858016*p^115*q^1502+46308959965*p^113* q^1504+441749002806*p^111*q^1506+3426784031783*p^109*q^1508+16184842519260*p^ 107*q^1510+29023988460292*p^105*q^1512+15952515342284*p^103*q^1514+ 3612859856976*p^101*q^1516+530409109708*p^99*q^1518+62977774633*p^97*q^1520+ 6283327578*p^95*q^1522+571857474*p^93*q^1524+34075442*p^91*q^1526+3003804*p^89* q^1528+24034*p^87*q^1530+3354*p^85*q^1532+4*p^126*q^1490+4206*p^124*q^1492+ 78870*p^122*q^1494+3138022*p^120*q^1496+67681278*p^118*q^1498+1119597166*p^116* q^1500+13461133774*p^114*q^1502+137337602203*p^112*q^1504+1218273091614*p^110*q ^1506+7850364180590*p^108*q^1508+24883179771068*p^106*q^1510+25210069535774*p^ 104*q^1512+8583121294082*p^102*q^1514+1508173856719*p^100*q^1516+197459603210*p ^98*q^1518+21763269902*p^96*q^1520+2011127024*p^94*q^1522+146042909*p^92*q^1524 +13456090*p^90*q^1526+452304*p^88*q^1528+2710*p^86*q^1530+328*p^84*q^1532+64*p^ 125*q^1490+33074*p^123*q^1492+234512*p^121*q^1494+16112062*p^119*q^1496+ 248490702*p^117*q^1498+3777679965*p^115*q^1500+41384091296*p^113*q^1502+ 397148679341*p^111*q^1504+3144788950962*p^109*q^1506+15359507929991*p^107*q^ 1508+29383298503700*p^105*q^1510+16980331290585*p^103*q^1512+3984806926510*p^ 101*q^1514+589707133419*p^99*q^1516+70538550930*p^97*q^1518+7099738928*p^95*q^ 1520+642733164*p^93*q^1522+35447170*p^91*q^1524+3497800*p^89*q^1526+22344*p^87* q^1528+348*p^85*q^1530+8*p^83*q^1532+1268*p^124*q^1490+143480*p^122*q^1492+ 2400374*p^120*q^1494+61721292*p^118*q^1496+973704042*p^116*q^1498+11979384202*p ^114*q^1500+123461149056*p^112*q^1502+1102304467326*p^110*q^1504+7314620594836* p^108*q^1506+24230680581785*p^106*q^1508+26259863965760*p^104*q^1510+ 9299668945972*p^102*q^1512+1676135439450*p^100*q^1514+220528976522*p^98*q^1516+ 24520517650*p^96*q^1518+2244002888*p^94*q^1520+180736138*p^92*q^1522+13387148*p ^90*q^1524+719890*p^88*q^1526+5328*p^86*q^1528+884*p^84*q^1530+84*p^125*q^1488+ 30456*p^123*q^1490+232688*p^121*q^1492+13588428*p^119*q^1494+219053969*p^117*q^ 1496+3356720796*p^115*q^1498+36944724573*p^113*q^1500+358134984770*p^111*q^1502 +2870055279813*p^109*q^1504+14594991273122*p^107*q^1506+29468593320995*p^105*q^ 1508+18135227111586*p^103*q^1510+4376231188681*p^101*q^1512+659182306666*p^99*q ^1514+79123044600*p^97*q^1516+8107588548*p^95*q^1518+734174144*p^93*q^1520+ 39173222*p^91*q^1522+4726720*p^89*q^1524+56084*p^87*q^1526+88*p^85*q^1528+8*p^ 83*q^1530+1170*p^124*q^1488+142210*p^122*q^1490+1649682*p^120*q^1492+55193920*p ^118*q^1494+830447190*p^116*q^1496+10633578378*p^114*q^1498+110333312710*p^112* q^1500+998594554910*p^110*q^1502+6768478531393*p^108*q^1504+23643035801960*p^ 106*q^1506+27131963518235*p^104*q^1508+10119340728960*p^102*q^1510+ 1854231411874*p^100*q^1512+246826506876*p^98*q^1514+27458362085*p^96*q^1516+ 2515754758*p^94*q^1518+209453312*p^92*q^1520+13167350*p^90*q^1522+810850*p^88*q ^1524+944*p^86*q^1526+134*p^84*q^1528+20*p^125*q^1486+14532*p^123*q^1488+346950 *p^121*q^1490+10747942*p^119*q^1492+191898446*p^117*q^1494+2952144921*p^115*q^ 1496+32987677582*p^113*q^1498+321251332974*p^111*q^1500+2627498641870*p^109*q^ 1502+13779166660886*p^107*q^1504+29630115303000*p^105*q^1506+19212221471301*p^ 103*q^1508+4818709721084*p^101*q^1510+732349538046*p^99*q^1512+88755805770*p^97 *q^1514+9167498307*p^95*q^1516+810771792*p^93*q^1518+48355932*p^91*q^1520+ 5057036*p^89*q^1522+120488*p^87*q^1524+792*p^85*q^1526+128*p^83*q^1528+808*p^ 124*q^1486+148674*p^122*q^1488+1142346*p^120*q^1490+48979140*p^118*q^1492+ 718749306*p^116*q^1494+9480752205*p^114*q^1496+99059277700*p^112*q^1498+ 902402260693*p^110*q^1500+6281620607768*p^108*q^1502+22891918005835*p^106*q^ 1504+28084352504324*p^104*q^1506+10930263564934*p^102*q^1508+2058149672326*p^ 100*q^1510+275403400190*p^98*q^1512+30877736732*p^96*q^1514+2852124986*p^94*q^ 1516+249853440*p^92*q^1518+12014760*p^90*q^1520+1222134*p^88*q^1522+4388*p^86*q ^1524+11024*p^123*q^1486+428094*p^121*q^1488+8756880*p^119*q^1490+173209465*p^ 117*q^1492+2602842814*p^115*q^1494+29377001288*p^113*q^1496+289561636982*p^111* q^1498+2390919018310*p^109*q^1500+13030043097650*p^107*q^1502+29522433168434*p^ 105*q^1504+20413867001580*p^103*q^1506+5279901252078*p^101*q^1508+817794651626* p^99*q^1510+99586264974*p^97*q^1512+10403383282*p^95*q^1514+900368842*p^93*q^ 1516+59878968*p^91*q^1518+5657023*p^89*q^1520+175412*p^87*q^1522+26*p^83*q^1526 +552*p^124*q^1484+105300*p^122*q^1486+1080648*p^120*q^1488+41050834*p^118*q^ 1490+619401936*p^116*q^1492+8413763786*p^114*q^1494+88487230603*p^112*q^1496+ 816138854566*p^110*q^1498+5788890257175*p^108*q^1500+22198487322232*p^106*q^ 1502+28847619223733*p^104*q^1504+11851839268842*p^102*q^1506+2274146183452*p^ 100*q^1508+308327519776*p^98*q^1510+34564873523*p^96*q^1512+3247943978*p^94*q^ 1514+287325746*p^92*q^1516+12282542*p^90*q^1518+1519954*p^88*q^1520+11356*p^86* q^1522+52*p^84*q^1524+8*p^82*q^1526+6930*p^123*q^1484+504722*p^121*q^1486+ 6146683*p^119*q^1488+155530688*p^117*q^1490+2255681706*p^115*q^1492+26186184830 *p^113*q^1494+259463795839*p^111*q^1496+2183315892528*p^109*q^1498+ 12239061889405*p^107*q^1500+29495684428614*p^105*q^1502+21522580454476*p^103*q^ 1504+5799156573958*p^101*q^1506+907897281195*p^99*q^1508+111559045872*p^97*q^ 1510+11682592874*p^95*q^1512+992763380*p^93*q^1514+71920280*p^91*q^1516+5060708 *p^89*q^1518+222054*p^87*q^1520+168*p^85*q^1522+72*p^124*q^1482+72110*p^122*q^ 1484+1104720*p^120*q^1486+35520016*p^118*q^1488+542225532*p^116*q^1490+ 7507703288*p^114*q^1492+79451853868*p^112*q^1494+736354072958*p^110*q^1496+ 5356292925158*p^108*q^1498+21353111621733*p^106*q^1500+29677024941414*p^104*q^ 1502+12755826026191*p^102*q^1504+2521090255136*p^100*q^1506+343725619609*p^98*q ^1508+38909033338*p^96*q^1510+3726360877*p^94*q^1512+323933466*p^92*q^1514+ 15013340*p^90*q^1516+2018440*p^88*q^1518+31640*p^86*q^1520+2*p^82*q^1524+5900*p ^123*q^1482+497830*p^121*q^1484+5065338*p^119*q^1486+137645063*p^117*q^1488+ 1975170968*p^115*q^1490+23306103913*p^113*q^1492+233354076846*p^111*q^1494+ 1982524998066*p^109*q^1496+11517573849380*p^107*q^1498+29188056795565*p^105*q^ 1500+22756070174820*p^103*q^1502+6340354359432*p^101*q^1504+1012738638538*p^99* q^1506+125076334225*p^97*q^1508+13201268182*p^95*q^1510+1111695662*p^93*q^1512+ 91046288*p^91*q^1514+4361556*p^89*q^1516+338106*p^87*q^1518+448*p^85*q^1520+16* p^124*q^1480+54470*p^122*q^1482+1304034*p^120*q^1484+28045422*p^118*q^1486+ 478349750*p^116*q^1488+6632200272*p^114*q^1490+70822477232*p^112*q^1492+ 665108070696*p^110*q^1494+4919242791069*p^108*q^1496+20590891714012*p^106*q^ 1498+30278630274499*p^104*q^1500+13781261166260*p^102*q^1502+2782061033985*p^ 100*q^1504+384457061752*p^98*q^1506+43600125087*p^96*q^1508+4237711540*p^94*q^ 1510+358118700*p^92*q^1512+17342488*p^90*q^1514+2195580*p^88*q^1516+33588*p^86* q^1518+20*p^125*q^1478+2098*p^123*q^1480+367022*p^121*q^1482+3918562*p^119*q^ 1484+120920318*p^117*q^1486+1707634951*p^115*q^1488+20794000720*p^113*q^1490+ 209126039097*p^111*q^1492+1805592821366*p^109*q^1494+10770579455985*p^107*q^ 1496+28971375231044*p^105*q^1498+23857835259551*p^103*q^1500+6948434297536*p^ 101*q^1502+1122870620782*p^99*q^1504+140142230282*p^97*q^1506+14763971630*p^95* q^1508+1256722956*p^93*q^1510+106065794*p^91*q^1512+4026436*p^89*q^1514+502208* p^87*q^1516+3308*p^85*q^1518+38852*p^122*q^1480+1588586*p^120*q^1482+22859490*p ^118*q^1484+426571084*p^116*q^1486+5872209406*p^114*q^1488+63481818224*p^112*q^ 1490+599054613696*p^110*q^1492+4534566979256*p^108*q^1494+19696414392299*p^106* q^1496+30960299896144*p^104*q^1498+14771049061250*p^102*q^1500+3079420357424*p^ 100*q^1502+428871390290*p^98*q^1504+49075119278*p^96*q^1506+4830012938*p^94*q^ 1508+393498676*p^92*q^1510+23734328*p^90*q^1512+2011114*p^88*q^1514+53098*p^86* q^1516+566*p^123*q^1478+319954*p^121*q^1480+3566784*p^119*q^1482+104759037*p^ 117*q^1484+1493063302*p^115*q^1486+18528225797*p^113*q^1488+187998258692*p^111* q^1490+1636241830496*p^109*q^1492+10087864553424*p^107*q^1494+28487693492131*p^ 105*q^1496+25093116982716*p^103*q^1498+7573152288423*p^101*q^1500+1251898037402 *p^99*q^1502+156703556669*p^97*q^1504+16650144168*p^95*q^1506+1445146690*p^93*q ^1508+124903540*p^91*q^1510+3875900*p^89*q^1512+752020*p^87*q^1514+5742*p^85*q^ 1516+8*p^126*q^1474+302*p^124*q^1476+26210*p^122*q^1478+1431310*p^120*q^1480+ 18187534*p^118*q^1482+377461328*p^116*q^1484+5164038308*p^114*q^1486+ 56543768808*p^112*q^1488+540238918128*p^110*q^1490+4152651550107*p^108*q^1492+ 18873920130680*p^106*q^1494+31391872641408*p^104*q^1496+15895183597446*p^102*q^ 1498+3392743407660*p^100*q^1500+479190986560*p^98*q^1502+55119134470*p^96*q^ 1504+5467289048*p^94*q^1506+427658504*p^92*q^1508+29701456*p^90*q^1510+1784562* p^88*q^1512+79794*p^86*q^1514+116*p^84*q^1516+200*p^123*q^1476+214206*p^121*q^ 1478+4014290*p^119*q^1480+87404116*p^117*q^1482+1303886901*p^115*q^1484+ 16497452242*p^113*q^1486+168218668257*p^111*q^1488+1487347580486*p^109*q^1490+ 9391827799708*p^107*q^1492+28083322490454*p^105*q^1494+26166981032405*p^103*q^ 1496+8280267964906*p^101*q^1498+1386438823654*p^99*q^1500+175552106600*p^97*q^ 1502+18602475189*p^95*q^1504+1652416588*p^93*q^1506+139748612*p^91*q^1508+ 4890462*p^89*q^1510+755558*p^87*q^1512+5126*p^85*q^1514+4*p^126*q^1472+36*p^124 *q^1474+9398*p^122*q^1476+1353786*p^120*q^1478+13909678*p^118*q^1480+336526660* p^116*q^1482+4537466008*p^114*q^1484+50615051712*p^112*q^1486+486013462314*p^ 110*q^1488+3816503075548*p^108*q^1490+17958766973432*p^106*q^1492+ 31879773030638*p^104*q^1494+16968136564468*p^102*q^1496+3748619269668*p^100*q^ 1498+533822625753*p^98*q^1500+61998996078*p^96*q^1502+6180184280*p^94*q^1504+ 477112434*p^92*q^1506+37209766*p^90*q^1508+1172720*p^88*q^1510+186384*p^86*q^ 1512+824*p^84*q^1514+108*p^125*q^1472+1938*p^123*q^1474+183240*p^121*q^1476+ 4279558*p^119*q^1478+75094090*p^117*q^1480+1156859378*p^115*q^1482+14692687342* p^113*q^1484+151199605810*p^111*q^1486+1345366888917*p^109*q^1488+8761105771540 *p^107*q^1490+27439594844025*p^105*q^1492+27354087255834*p^103*q^1494+ 8999819862924*p^101*q^1496+1544334387086*p^99*q^1498+196372033208*p^97*q^1500+ 21019184678*p^95*q^1502+1910476140*p^93*q^1504+156215022*p^91*q^1506+6997176*p^ 89*q^1508+902866*p^87*q^1510+7492*p^85*q^1512+8*p^126*q^1470+4884*p^122*q^1474+ 1044622*p^120*q^1476+12087274*p^118*q^1478+291673475*p^116*q^1480+3961820136*p^ 114*q^1482+45022713046*p^112*q^1484+437527312138*p^110*q^1486+3482641018224*p^ 108*q^1488+17116002264276*p^106*q^1490+32115532849904*p^104*q^1492+ 18179292562672*p^102*q^1494+4122749800507*p^100*q^1496+596368619938*p^98*q^1498 +69482113288*p^96*q^1500+6938866552*p^94*q^1502+537684184*p^92*q^1504+44152920* p^90*q^1506+926432*p^88*q^1508+203156*p^86*q^1510+236*p^84*q^1512+68*p^125*q^ 1470+980*p^123*q^1472+98732*p^121*q^1474+4312744*p^119*q^1476+59585642*p^117*q^ 1478+1016948264*p^115*q^1480+13045858020*p^113*q^1482+135167696292*p^111*q^1484 +1220624986632*p^109*q^1486+8123484847804*p^107*q^1488+26882691390128*p^105*q^ 1490+28367375806064*p^103*q^1492+9805824903906*p^101*q^1494+1709268520569*p^99* q^1496+219672525968*p^97*q^1498+23534570655*p^95*q^1500+2180884352*p^93*q^1502+ 164922526*p^91*q^1504+9048920*p^89*q^1506+642416*p^87*q^1508+30732*p^85*q^1510+ 54*p^83*q^1512+584*p^124*q^1470+7718*p^122*q^1472+876656*p^120*q^1474+11717174* p^118*q^1476+258696316*p^116*q^1478+3495024742*p^114*q^1480+40363433918*p^112*q ^1482+393255140117*p^110*q^1484+3192660324178*p^108*q^1486+16191639046602*p^106 *q^1488+32407220963208*p^104*q^1490+19314865168010*p^102*q^1492+4547924003182*p ^100*q^1494+663625456063*p^98*q^1496+78176123688*p^96*q^1498+7823414042*p^94*q^ 1500+619707346*p^92*q^1502+53507744*p^90*q^1504+1348978*p^88*q^1506+308398*p^86 *q^1508+352*p^84*q^1510+148*p^125*q^1468+84*p^123*q^1470+57014*p^121*q^1472+ 4014366*p^119*q^1474+48260616*p^117*q^1476+898605044*p^115*q^1478+11538505006*p ^113*q^1480+121154371714*p^111*q^1482+1101907364172*p^109*q^1484+7546995823746* p^107*q^1486+26095870029585*p^105*q^1488+29485506483624*p^103*q^1490+ 10628234433362*p^101*q^1492+1900649638432*p^99*q^1494+245722366265*p^97*q^1496+ 26611475614*p^95*q^1498+2488815800*p^93*q^1500+180738080*p^91*q^1502+11640720*p ^89*q^1504+337434*p^87*q^1506+42700*p^85*q^1508+644*p^124*q^1468+9184*p^122*q^ 1470+668378*p^120*q^1472+11830794*p^118*q^1474+220828716*p^116*q^1476+ 3072231000*p^114*q^1478+35902553666*p^112*q^1480+353990222098*p^110*q^1482+ 2906360004301*p^108*q^1484+15354224852690*p^106*q^1486+32419983915719*p^104*q^ 1488+20600012025904*p^102*q^1490+4989741094575*p^100*q^1492+741018637902*p^98*q ^1494+87438099835*p^96*q^1496+8760998614*p^94*q^1498+715739306*p^92*q^1500+ 59702874*p^90*q^1502+1802332*p^88*q^1504+349082*p^86*q^1506+2784*p^84*q^1508+8* p^125*q^1466+1684*p^123*q^1468+36242*p^121*q^1470+3357444*p^119*q^1472+39518340 *p^117*q^1474+795631855*p^115*q^1476+10188385696*p^113*q^1478+108234246628*p^ 111*q^1480+997464899264*p^109*q^1482+6969801959306*p^107*q^1484+25408100720468* p^105*q^1486+30385745725383*p^103*q^1488+11547204793672*p^101*q^1490+ 2101934785169*p^99*q^1492+274867299072*p^97*q^1494+29918231294*p^95*q^1496+ 2825753806*p^93*q^1498+197165346*p^91*q^1500+14594740*p^89*q^1502+251480*p^87*q ^1504+60082*p^85*q^1506+1228*p^124*q^1466+2298*p^122*q^1468+424548*p^120*q^1470 +11991882*p^118*q^1472+186513986*p^116*q^1474+2699177182*p^114*q^1476+ 32127941886*p^112*q^1478+317769513835*p^110*q^1480+2656971064142*p^108*q^1482+ 14456106337794*p^106*q^1484+32503126953052*p^104*q^1486+21778240168105*p^102*q^ 1488+5492223707828*p^100*q^1490+823681365084*p^98*q^1492+98163355568*p^96*q^ 1494+9812499501*p^94*q^1496+827415504*p^92*q^1498+64257602*p^90*q^1500+2605476* p^88*q^1502+215750*p^86*q^1504+7580*p^84*q^1506+3476*p^123*q^1466+48076*p^121*q ^1468+3052804*p^119*q^1470+35669718*p^117*q^1472+708479174*p^115*q^1474+ 9032346042*p^113*q^1476+97041713500*p^111*q^1478+899310469331*p^109*q^1480+ 6450645406080*p^107*q^1482+24511570655897*p^105*q^1484+31394309967416*p^103*q^ 1486+12465546677844*p^101*q^1488+2335332466002*p^99*q^1490+307293965833*p^97*q^ 1492+33838359752*p^95*q^1494+3221713522*p^93*q^1496+225851386*p^91*q^1498+ 19092482*p^89*q^1500+293840*p^87*q^1502+125186*p^85*q^1504+96*p^83*q^1506+372*p ^124*q^1464+3964*p^122*q^1466+269438*p^120*q^1468+10834760*p^118*q^1470+ 152488322*p^116*q^1472+2370714538*p^114*q^1474+28479108392*p^112*q^1476+ 285396535766*p^110*q^1478+2412929421892*p^108*q^1480+13633737469274*p^106*q^ 1482+32310199493065*p^104*q^1484+23114509108786*p^102*q^1486+6014633254420*p^ 100*q^1488+919100460710*p^98*q^1490+109743336859*p^96*q^1492+11062308038*p^94*q ^1494+948081658*p^92*q^1496+68011040*p^90*q^1498+3106710*p^88*q^1500+116974*p^ 86*q^1502+5720*p^84*q^1504+8*p^125*q^1462+6028*p^123*q^1464+25838*p^121*q^1466+ 2274442*p^119*q^1468+33603250*p^117*q^1470+618657852*p^115*q^1472+7969540352*p^ 113*q^1474+86630231047*p^111*q^1476+813168759772*p^109*q^1478+5937224376264*p^ 107*q^1480+23714432468746*p^105*q^1482+32152741558333*p^103*q^1484+ 13497484071650*p^101*q^1486+2577261373565*p^99*q^1488+343371828548*p^97*q^1490+ 37953040159*p^95*q^1492+3583481438*p^93*q^1494+256481460*p^91*q^1496+21820834*p ^89*q^1498+483646*p^87*q^1500+107960*p^85*q^1502+928*p^83*q^1504+28*p^124*q^ 1462+10684*p^122*q^1464+213142*p^120*q^1466+10400704*p^118*q^1468+127296618*p^ 116*q^1470+2109383490*p^114*q^1472+25413346834*p^112*q^1474+256021419434*p^110* q^1476+2200156093212*p^108*q^1478+12777059062399*p^106*q^1480+32168579988552*p^ 104*q^1482+24316500268501*p^102*q^1484+6605978001360*p^100*q^1486+1021441895012 *p^98*q^1488+123368543742*p^96*q^1490+12480699909*p^94*q^1492+1115519130*p^92*q ^1494+74156976*p^90*q^1496+4586502*p^88*q^1498+49312*p^86*q^1500+26646*p^84*q^ 1502+4696*p^123*q^1462+18332*p^121*q^1464+1706400*p^119*q^1466+31397418*p^117*q ^1468+537866540*p^115*q^1470+7017358440*p^113*q^1472+77631218652*p^111*q^1474+ 731830226447*p^109*q^1476+5476070344336*p^107*q^1478+22749094469572*p^105*q^ 1480+32999896783712*p^103*q^1482+14516735726952*p^101*q^1484+2859120551410*p^99 *q^1486+383380995504*p^97*q^1488+42719527158*p^95*q^1490+4026450642*p^93*q^1492 +293038744*p^91*q^1494+24149444*p^89*q^1496+609010*p^87*q^1498+85300*p^85*q^ 1500+176*p^83*q^1502+180*p^124*q^1460+19816*p^122*q^1462+174534*p^120*q^1464+ 9058714*p^118*q^1466+109877714*p^116*q^1468+1864672774*p^114*q^1470+22552867918 *p^112*q^1472+229801019444*p^110*q^1474+1993236422293*p^108*q^1476+ 11994719586454*p^106*q^1478+31768341296073*p^104*q^1480+25667686440580*p^102*q^ 1482+7216088609642*p^100*q^1484+1138959070612*p^98*q^1486+137930349144*p^96*q^ 1488+14154621292*p^94*q^1490+1273047522*p^92*q^1492+81999076*p^90*q^1494+ 6099050*p^88*q^1496+63642*p^86*q^1498+34620*p^84*q^1500+52*p^82*q^1502+884*p^ 123*q^1460+24140*p^121*q^1462+1120932*p^119*q^1464+29735526*p^117*q^1466+ 451799656*p^115*q^1468+6181188042*p^113*q^1470+69105448736*p^111*q^1472+ 660544476030*p^109*q^1474+5021874477446*p^107*q^1476+21878989723674*p^105*q^ 1478+33597250202410*p^103*q^1480+15654545816526*p^101*q^1482+3151922158249*p^99 *q^1484+428493287636*p^97*q^1486+47830508533*p^95*q^1488+4482209798*p^93*q^1490 +343236092*p^91*q^1492+25412990*p^89*q^1494+767462*p^87*q^1496+27430*p^85*q^ 1498+2994*p^83*q^1500+20*p^124*q^1458+27796*p^122*q^1460+114688*p^120*q^1462+ 7676798*p^118*q^1464+96916346*p^116*q^1466+1663208813*p^114*q^1468+20100932918* p^112*q^1470+206091660331*p^110*q^1472+1814529605022*p^108*q^1474+ 11186754793004*p^106*q^1476+31430142199742*p^104*q^1478+26855639412287*p^102*q^ 1480+7904435561720*p^100*q^1482+1263949450963*p^98*q^1484+154676449888*p^96*q^ 1486+15999588587*p^94*q^1488+1447362322*p^92*q^1490+88856696*p^90*q^1492+ 7648420*p^88*q^1494+124820*p^86*q^1496+40754*p^84*q^1498+1772*p^123*q^1458+ 45768*p^121*q^1460+927512*p^119*q^1462+28420552*p^117*q^1464+387860042*p^115*q^ 1466+5462620183*p^113*q^1468+61845557516*p^111*q^1470+593766622632*p^109*q^1472 +4617451406376*p^107*q^1474+20858386193639*p^105*q^1476+34258641380534*p^103*q^ 1478+16773500224724*p^101*q^1480+3490826886390*p^99*q^1482+478234625368*p^97*q^ 1484+53976094942*p^95*q^1486+5063205378*p^93*q^1488+411793454*p^91*q^1490+ 29094942*p^89*q^1492+1257758*p^87*q^1494+5610*p^85*q^1496+7112*p^83*q^1498+ 11708*p^122*q^1458+91292*p^120*q^1460+5759814*p^118*q^1462+85705502*p^116*q^ 1464+1451550624*p^114*q^1466+17745913453*p^112*q^1468+184653421366*p^110*q^1470 +1640223629377*p^108*q^1472+10456288926348*p^106*q^1474+30827050523950*p^104*q^ 1476+28199558043846*p^102*q^1478+8611496705397*p^100*q^1480+1407643247200*p^98* q^1482+172934197931*p^96*q^1484+18010903084*p^94*q^1486+1613825186*p^92*q^1488+ 98414230*p^90*q^1490+8095020*p^88*q^1492+99496*p^86*q^1494+24690*p^84*q^1496+ 122*p^82*q^1498+636*p^123*q^1456+92322*p^121*q^1458+649408*p^119*q^1460+ 25961988*p^117*q^1462+330382294*p^115*q^1464+4842142888*p^113*q^1466+ 55098951123*p^111*q^1468+535523967374*p^109*q^1470+4222243061644*p^107*q^1472+ 19954582254970*p^105*q^1474+34635773377117*p^103*q^1476+18014280432794*p^101*q^ 1478+3841873598848*p^99*q^1480+534312760918*p^97*q^1482+60289198876*p^95*q^1484 +5733073820*p^93*q^1486+481806526*p^91*q^1488+29910614*p^89*q^1490+1889086*p^87 *q^1492+20350*p^85*q^1494+10766*p^83*q^1496+11336*p^122*q^1456+92802*p^120*q^ 1458+4434008*p^118*q^1460+80338274*p^116*q^1462+1267640690*p^114*q^1464+ 15762087888*p^112*q^1466+165328973635*p^110*q^1468+1488903402778*p^108*q^1470+ 9712010048293*p^106*q^1472+30300995276798*p^104*q^1474+29332249422575*p^102*q^ 1476+9408444420478*p^100*q^1478+1561455032575*p^98*q^1480+193923795228*p^96*q^ 1482+20364861885*p^94*q^1484+1800612526*p^92*q^1486+116801648*p^90*q^1488+ 9797500*p^88*q^1490+178094*p^86*q^1492+2456*p^84*q^1494+932*p^82*q^1496+76*p^ 123*q^1454+76224*p^121*q^1456+515944*p^119*q^1458+22850134*p^117*q^1460+ 283353888*p^115*q^1462+4302984066*p^113*q^1464+49266251838*p^111*q^1466+ 480810124514*p^109*q^1468+3871088279852*p^107*q^1470+18922197170367*p^105*q^ 1472+35102697236978*p^103*q^1474+19206781452780*p^101*q^1476+4247701487342*p^99 *q^1478+595419392082*p^97*q^1480+67858362602*p^95*q^1482+6483526424*p^93*q^1484 +561813794*p^91*q^1486+31002916*p^89*q^1488+2274244*p^87*q^1490+17184*p^85*q^ 1492+14268*p^83*q^1494+20*p^124*q^1452+8144*p^122*q^1454+198490*p^120*q^1456+ 3376320*p^118*q^1458+74822036*p^116*q^1460+1098943790*p^114*q^1462+13904784401* p^112*q^1464+148049786912*p^110*q^1466+1344083150702*p^108*q^1468+9034395525672 *p^106*q^1470+29534377093455*p^104*q^1472+30617541417728*p^102*q^1474+ 10218173452329*p^100*q^1476+1737687219450*p^98*q^1478+216897942586*p^96*q^1480+ 22963184312*p^94*q^1482+2017528410*p^92*q^1484+139897548*p^90*q^1486+11012604*p ^88*q^1488+320600*p^86*q^1490+1812*p^84*q^1492+1364*p^82*q^1494+32*p^123*q^1452 +57816*p^121*q^1454+336962*p^119*q^1456+18407456*p^117*q^1458+243913682*p^115*q ^1460+3795015166*p^113*q^1462+43789534605*p^111*q^1464+432859944324*p^109*q^ 1466+3528905840294*p^107*q^1468+17997512730468*p^105*q^1470+35264765117838*p^ 103*q^1472+20547550337044*p^101*q^1474+4665330188634*p^99*q^1476+664727367504*p ^97*q^1478+75832499863*p^95*q^1480+7340062898*p^93*q^1482+627978768*p^91*q^1484 +32517028*p^89*q^1486+2597726*p^87*q^1488+15232*p^85*q^1490+2922*p^83*q^1492+60 *p^81*q^1494+1888*p^122*q^1452+269328*p^120*q^1454+2613798*p^118*q^1456+ 70555554*p^116*q^1458+953389292*p^114*q^1460+12366524206*p^112*q^1462+ 132426948435*p^110*q^1464+1218679947490*p^108*q^1466+8360751428224*p^106*q^1468 +28837537584078*p^104*q^1470+31665692395492*p^102*q^1472+11127016710124*p^100*q ^1474+1923934994103*p^98*q^1476+243152311746*p^96*q^1478+25800835601*p^94*q^ 1480+2263301660*p^92*q^1482+173617832*p^90*q^1484+11389420*p^88*q^1486+531742*p ^86*q^1488+3672*p^84*q^1490+4742*p^82*q^1492+308*p^123*q^1450+56580*p^121*q^ 1452+413686*p^119*q^1454+15167608*p^117*q^1456+219930404*p^115*q^1458+ 3359893974*p^113*q^1460+39068073682*p^111*q^1462+388483885294*p^109*q^1464+ 3225627003884*p^107*q^1466+16977988812736*p^105*q^1468+35482708941250*p^103*q^ 1470+21809370427806*p^101*q^1472+5150234204516*p^99*q^1474+740933572172*p^97*q^ 1476+85394133866*p^95*q^1478+8376930191*p^93*q^1480+718573538*p^91*q^1482+ 36329754*p^89*q^1484+3558676*p^87*q^1486+34392*p^85*q^1488+52*p^83*q^1490+56*p^ 81*q^1492+1048*p^122*q^1450+236564*p^120*q^1452+1876266*p^118*q^1454+62509490*p ^116*q^1456+811344436*p^114*q^1458+10914686033*p^112*q^1460+118481639542*p^110* q^1462+1097129694348*p^108*q^1464+7750320807710*p^106*q^1466+27933953009119*p^ 104*q^1468+32851845222032*p^102*q^1470+12046559234254*p^100*q^1472+ 2138441835440*p^98*q^1474+271301480943*p^96*q^1476+28973744688*p^94*q^1478+ 2534438330*p^92*q^1480+200691398*p^90*q^1482+11321080*p^88*q^1484+551750*p^86*q ^1486+552*p^84*q^1488+2136*p^82*q^1490+28*p^123*q^1448+23840*p^121*q^1450+ 610052*p^119*q^1452+11718996*p^117*q^1454+199015766*p^115*q^1456+2956422482*p^ 113*q^1458+34679421485*p^111*q^1460+349160683122*p^109*q^1462+2934275048364*p^ 107*q^1464+16063585090542*p^105*q^1466+35417981509755*p^103*q^1468+ 23207568803838*p^101*q^1470+5646162409724*p^99*q^1472+826653324444*p^97*q^1474+ 95554546423*p^95*q^1476+9485822242*p^93*q^1478+793963584*p^91*q^1480+45362944*p ^89*q^1482+3956812*p^87*q^1484+86120*p^85*q^1486+496*p^83*q^1488+834*p^81*q^ 1490+2076*p^122*q^1448+253628*p^120*q^1450+1474284*p^118*q^1452+55209054*p^116* q^1454+703462646*p^114*q^1456+9721783982*p^112*q^1458+105848383393*p^110*q^1460 +993622955896*p^108*q^1462+7140853481582*p^106*q^1464+27114738858146*p^104*q^ 1466+33770851910066*p^102*q^1468+13075106660590*p^100*q^1470+2365367221824*p^98 *q^1472+304073582926*p^96*q^1474+32538385483*p^94*q^1476+2889880646*p^92*q^1478 +238856468*p^90*q^1480+10534930*p^88*q^1482+842194*p^86*q^1484+2268*p^84*q^1486 +14644*p^121*q^1448+692110*p^119*q^1450+9398780*p^117*q^1452+183761166*p^115*q^ 1454+2591984859*p^113*q^1456+30861429482*p^111*q^1458+313026863680*p^109*q^1460 +2674964222342*p^107*q^1462+15077805601361*p^105*q^1464+35404163574098*p^103*q^ 1466+24512672758315*p^101*q^1468+6216539573964*p^99*q^1470+920227643243*p^97*q^ 1472+107512059550*p^95*q^1474+10733917367*p^93*q^1476+882112844*p^91*q^1478+ 56019408*p^89*q^1480+4547302*p^87*q^1482+110558*p^85*q^1484+936*p^81*q^1488+944 *p^122*q^1446+171944*p^120*q^1448+1495658*p^118*q^1450+45759698*p^116*q^1452+ 611269988*p^114*q^1454+8584797696*p^112*q^1456+94665669876*p^110*q^1458+ 893390644247*p^108*q^1460+6596263137440*p^106*q^1462+26091472780796*p^104*q^ 1464+34823532681468*p^102*q^1466+14105579250372*p^100*q^1468+2625788533488*p^98 *q^1470+339422631593*p^96*q^1472+36557446214*p^94*q^1474+3291150311*p^92*q^1476 +275195258*p^90*q^1478+11095704*p^88*q^1480+1074886*p^86*q^1482+7488*p^84*q^ 1484+28*p^82*q^1486+60*p^80*q^1488+10652*p^121*q^1446+809766*p^119*q^1448+ 6885944*p^117*q^1450+167329290*p^115*q^1452+2248091466*p^113*q^1454+27366995430 *p^111*q^1456+281015827258*p^109*q^1458+2426801464222*p^107*q^1460+ 14197414488962*p^105*q^1462+35099328725178*p^103*q^1464+25960443076408*p^101*q^ 1466+6799497364990*p^99*q^1468+1026086566440*p^97*q^1470+120197247772*p^95*q^ 1472+12083487838*p^93*q^1474+975818490*p^91*q^1476+67316412*p^89*q^1478+4106676 *p^87*q^1480+136896*p^85*q^1482+72*p^83*q^1484+96*p^122*q^1444+114724*p^120*q^ 1446+1568230*p^118*q^1448+38603542*p^116*q^1450+540381226*p^114*q^1452+ 7646622570*p^112*q^1454+84498520760*p^110*q^1456+807546352096*p^108*q^1458+ 6058753027581*p^106*q^1460+25176764333500*p^104*q^1462+35562350240054*p^102*q^ 1464+15254500659382*p^100*q^1466+2900651798153*p^98*q^1468+379992043214*p^96*q^ 1470+41037256956*p^94*q^1472+3781557476*p^92*q^1474+308721772*p^90*q^1476+ 13599574*p^88*q^1478+1494304*p^86*q^1480+19212*p^84*q^1482+242*p^80*q^1486+2*p^ 125*q^1440+9420*p^121*q^1444+758862*p^119*q^1446+5911616*p^117*q^1448+150267366 *p^115*q^1450+1962229076*p^113*q^1452+24355863470*p^111*q^1454+251541721298*p^ 109*q^1456+2207948119772*p^107*q^1458+13262065676644*p^105*q^1460+ 34857318815594*p^103*q^1462+27267385692731*p^101*q^1464+7470223121522*p^99*q^ 1466+1140961468174*p^97*q^1468+135194314196*p^95*q^1470+13645216750*p^93*q^1472 +1098054698*p^91*q^1474+85356582*p^89*q^1476+3690352*p^87*q^1478+212230*p^85*q^ 1480+236*p^83*q^1482+56*p^122*q^1442+71200*p^120*q^1444+1969892*p^118*q^1446+ 30284146*p^116*q^1448+484848604*p^114*q^1450+6732256391*p^112*q^1452+ 75378789992*p^110*q^1454+725548915372*p^108*q^1456+5574588481540*p^106*q^1458+ 24087912693518*p^104*q^1460+36441551063392*p^102*q^1462+16389715938469*p^100*q^ 1464+3216312160848*p^98*q^1466+423908259665*p^96*q^1468+46174780904*p^94*q^1470 +4289046783*p^92*q^1472+342237570*p^90*q^1474+15816400*p^88*q^1476+1639480*p^86 *q^1478+17662*p^84*q^1480+8*p^125*q^1438+4*p^123*q^1440+2900*p^121*q^1442+ 591826*p^119*q^1444+4620384*p^117*q^1446+131370998*p^115*q^1448+1693982000*p^ 113*q^1450+21573518672*p^111*q^1452+225699117722*p^109*q^1454+1998350333454*p^ 107*q^1456+12427492538200*p^105*q^1458+34333422483821*p^103*q^1460+ 28726846072216*p^101*q^1462+8149378528817*p^99*q^1464+1270666826976*p^97*q^1466 +151101860445*p^95*q^1468+15288179822*p^93*q^1470+1245481196*p^91*q^1472+ 98977728*p^89*q^1474+3454860*p^87*q^1476+334974*p^85*q^1478+2016*p^83*q^1480+34 *p^79*q^1484+26*p^124*q^1438+54144*p^120*q^1442+2242484*p^118*q^1444+25054264*p ^116*q^1446+439416680*p^114*q^1448+5961612598*p^112*q^1450+67267590283*p^110*q^ 1452+654756626354*p^108*q^1454+5105916487752*p^106*q^1456+23100479762824*p^104* q^1458+36980396707954*p^102*q^1460+17657986079884*p^100*q^1462+3545895703802*p^ 98*q^1464+474768205854*p^96*q^1466+51828368140*p^94*q^1468+4908136768*p^92*q^ 1470+374963244*p^90*q^1472+21774942*p^88*q^1474+1567876*p^86*q^1476+28822*p^84* q^1478+1540*p^121*q^1440+452340*p^119*q^1442+4661134*p^117*q^1444+113083272*p^ 115*q^1446+1483976440*p^113*q^1448+19223424740*p^111*q^1450+201797946566*p^109* q^1452+1814252130802*p^107*q^1454+11558988251399*p^105*q^1456+33860634093194*p^ 103*q^1458+30010757180431*p^101*q^1460+8928615777778*p^99*q^1462+1412392727123* p^97*q^1464+169653286722*p^95*q^1466+17231714689*p^93*q^1468+1436253746*p^91*q^ 1470+116777040*p^89*q^1472+3400452*p^87*q^1474+508308*p^85*q^1476+2492*p^83*q^ 1478+128*p^124*q^1436+68*p^122*q^1438+34216*p^120*q^1440+2118486*p^118*q^1442+ 19825996*p^116*q^1444+394669968*p^114*q^1446+5215341924*p^112*q^1448+ 59889881296*p^110*q^1450+587245505043*p^108*q^1452+4683535807384*p^106*q^1454+ 21979617464255*p^104*q^1456+37635862126602*p^102*q^1458+18892393553604*p^100*q^ 1460+3926794665270*p^98*q^1462+528844409700*p^96*q^1464+58367985034*p^94*q^1466 +5538107131*p^92*q^1468+409941978*p^90*q^1470+26963564*p^88*q^1472+1411930*p^86 *q^1474+46450*p^84*q^1476+80*p^82*q^1478+2*p^78*q^1482+132*p^123*q^1436+196*p^ 121*q^1438+279000*p^119*q^1440+5264830*p^117*q^1442+93991512*p^115*q^1444+ 1301983938*p^113*q^1446+17030761419*p^111*q^1448+180909833322*p^109*q^1450+ 1638948577380*p^107*q^1452+10783937228542*p^105*q^1454+33141955269716*p^103*q^ 1456+31430517090860*p^101*q^1458+9715298571290*p^99*q^1460+1571424580668*p^97*q ^1462+189584182795*p^95*q^1464+19312739574*p^93*q^1466+1642452764*p^91*q^1468+ 130201550*p^89*q^1470+4400372*p^87*q^1472+535154*p^85*q^1474+2420*p^83*q^1476+8 *p^124*q^1434+4*p^122*q^1436+19220*p^120*q^1438+1974294*p^118*q^1440+15739348*p ^116*q^1442+354849118*p^114*q^1444+4584540862*p^112*q^1446+53342684042*p^110*q^ 1448+529324416686*p^108*q^1450+4275366373642*p^106*q^1452+20963857663384*p^104* q^1454+37953956511985*p^102*q^1456+20262786392338*p^100*q^1458+4321688248956*p^ 98*q^1460+591847456388*p^96*q^1462+65532620175*p^94*q^1464+6276961426*p^92*q^ 1466+461268722*p^90*q^1468+34093470*p^88*q^1470+966674*p^86*q^1472+111678*p^84* q^1474+304*p^82*q^1476+888*p^123*q^1434+584*p^121*q^1436+227760*p^119*q^1438+ 5619322*p^117*q^1440+80438380*p^115*q^1442+1160911886*p^113*q^1444+15158720274* p^111*q^1446+161711040181*p^109*q^1448+1485782112178*p^107*q^1450+9985239918411 *p^105*q^1452+32477986966730*p^103*q^1454+32646051825903*p^101*q^1456+ 10611934768030*p^99*q^1458+1744349620725*p^97*q^1460+212883454202*p^95*q^1462+ 21771435002*p^93*q^1464+1903883924*p^91*q^1466+143846808*p^89*q^1468+6153200*p^ 87*q^1470+645350*p^85*q^1472+3496*p^83*q^1474+8*p^124*q^1432+330*p^122*q^1434+ 6196*p^120*q^1436+1395796*p^118*q^1438+14312028*p^116*q^1440+308980772*p^114*q^ 1442+3986995772*p^112*q^1444+47445349142*p^110*q^1446+474031931321*p^108*q^1448 +3909807477392*p^106*q^1450+19830861446467*p^104*q^1452+38372658466074*p^102*q^ 1454+21589415779326*p^100*q^1456+4775318237222*p^98*q^1458+659318052307*p^96*q^ 1460+73678696940*p^94*q^1462+7042950737*p^92*q^1464+520303314*p^90*q^1466+ 40670458*p^88*q^1468+815014*p^86*q^1470+127386*p^84*q^1472+96*p^82*q^1474+322*p ^123*q^1432+240*p^121*q^1434+154462*p^119*q^1436+5940536*p^117*q^1438+63671232* p^115*q^1440+1036289968*p^113*q^1442+13398187189*p^111*q^1444+144798967016*p^ 109*q^1446+1339832285027*p^107*q^1448+9282274474104*p^105*q^1450+31570450742150 *p^103*q^1452+34000621270864*p^101*q^1454+11509626886156*p^99*q^1456+ 1939891016600*p^97*q^1458+237515349895*p^95*q^1460+24462863624*p^93*q^1462+ 2170496867*p^91*q^1464+153976506*p^89*q^1466+7975638*p^87*q^1468+484716*p^85*q^ 1470+15896*p^83*q^1472+16*p^81*q^1474+3380*p^122*q^1432+3872*p^120*q^1434+ 1099302*p^118*q^1436+13883442*p^116*q^1438+273785610*p^114*q^1440+3508031750*p^ 112*q^1442+42274564198*p^110*q^1444+426650705472*p^108*q^1446+3560186738825*p^ 106*q^1448+18812290201746*p^104*q^1450+38430598845981*p^102*q^1452+ 23047961010146*p^100*q^1454+5248072634158*p^98*q^1456+736698519230*p^96*q^1458+ 82714208532*p^94*q^1460+7957777718*p^92*q^1462+603516972*p^90*q^1464+48164368*p ^88*q^1466+1164524*p^86*q^1468+196844*p^84*q^1470+104*p^82*q^1472+136*p^123*q^ 1430+436*p^121*q^1432+78770*p^119*q^1434+5342716*p^117*q^1436+52922944*p^115*q^ 1438+920284988*p^113*q^1440+11870706398*p^111*q^1442+129141052689*p^109*q^1444+ 1212183079694*p^107*q^1446+8562015655402*p^105*q^1448+30755316397076*p^103*q^ 1450+35087221347572*p^101*q^1452+12536117061792*p^99*q^1454+2149764632579*p^97* q^1456+266752247948*p^95*q^1458+27590462793*p^93*q^1460+2482388432*p^91*q^1462+ 168512726*p^89*q^1464+10575688*p^87*q^1466+278110*p^85*q^1468+23000*p^83*q^1470 +3302*p^122*q^1430+4020*p^120*q^1432+881348*p^118*q^1434+14597108*p^116*q^1436+ 232785954*p^114*q^1438+3091672096*p^112*q^1440+37610079644*p^110*q^1442+ 382038137413*p^108*q^1444+3246877342068*p^106*q^1446+17705308779154*p^104*q^ 1448+38595105621830*p^102*q^1450+24430398074473*p^100*q^1452+5787087671826*p^98 *q^1454+820531700516*p^96*q^1456+92833141902*p^94*q^1458+8911290172*p^92*q^1460 +699765584*p^90*q^1462+53909950*p^88*q^1464+1494524*p^86*q^1466+227664*p^84*q^ 1468+1216*p^82*q^1470+40*p^123*q^1428+7440*p^121*q^1430+34048*p^119*q^1432+ 4336668*p^117*q^1434+43557656*p^115*q^1436+823843926*p^113*q^1438+10403994169*p ^111*q^1440+115428722540*p^109*q^1442+1090919595290*p^107*q^1444+7922720057200* p^105*q^1446+29716342667128*p^103*q^1448+36332847396436*p^101*q^1450+ 13549025701733*p^99*q^1452+2388725096984*p^97*q^1454+297608342169*p^95*q^1456+ 31115630122*p^93*q^1458+2807730404*p^91*q^1460+185323236*p^89*q^1462+12978630*p ^87*q^1464+215374*p^85*q^1466+34052*p^83*q^1468+1384*p^122*q^1428+972*p^120*q^ 1430+584318*p^118*q^1432+14940248*p^116*q^1434+197597884*p^114*q^1436+ 2721252206*p^112*q^1438+33520780992*p^110*q^1440+343645175448*p^108*q^1442+ 2949866772873*p^106*q^1444+16711214120096*p^104*q^1446+38404074230453*p^102*q^ 1448+25957218116276*p^100*q^1450+6342158074460*p^98*q^1452+916009583718*p^96*q^ 1454+103991141214*p^94*q^1456+10003469408*p^92*q^1458+810916124*p^90*q^1460+ 58026906*p^88*q^1462+2280226*p^86*q^1464+161310*p^84*q^1466+3416*p^82*q^1468+ 15574*p^121*q^1428+37040*p^119*q^1430+3799907*p^117*q^1432+40337674*p^115*q^ 1434+734691398*p^113*q^1436+9231876860*p^111*q^1438+102930081923*p^109*q^1440+ 985344382318*p^107*q^1442+7283521642129*p^105*q^1444+28746742519256*p^103*q^ 1446+37269146640359*p^101*q^1448+14706037861092*p^99*q^1450+2644496919545*p^97* q^1452+334221978338*p^95*q^1454+35113794688*p^93*q^1456+3218444980*p^91*q^1458+ 213994097*p^89*q^1460+16911624*p^87*q^1462+233792*p^85*q^1464+67978*p^83*q^1466 +32*p^81*q^1468+964*p^122*q^1426+9912*p^120*q^1428+314056*p^118*q^1430+13639018 *p^116*q^1432+161709094*p^114*q^1434+2398823623*p^112*q^1436+29690835618*p^110* q^1438+307012529474*p^108*q^1440+2683969504906*p^106*q^1442+15649424146884*p^ 104*q^1444+38308317828054*p^102*q^1446+27378104469959*p^100*q^1448+ 6981462143428*p^98*q^1450+1018905881261*p^96*q^1452+116630609666*p^94*q^1454+ 11268425505*p^92*q^1456+925374110*p^90*q^1458+61061242*p^88*q^1460+2720528*p^86 *q^1462+91934*p^84*q^1464+2860*p^82*q^1466+16*p^123*q^1424+10052*p^121*q^1426+ 13660*p^119*q^1428+2955856*p^117*q^1430+38277084*p^115*q^1432+644991178*p^113*q ^1434+8107670964*p^111*q^1436+91990826088*p^109*q^1438+885920062858*p^107*q^ 1440+6717100833044*p^105*q^1442+27615374845587*p^103*q^1444+38324866181086*p^ 101*q^1446+15838556040480*p^99*q^1448+2933137241176*p^97*q^1450+372447397423*p^ 95*q^1452+39512578308*p^93*q^1454+3569367660*p^91*q^1456+246595498*p^89*q^1458+ 19255572*p^87*q^1460+396390*p^85*q^1462+68524*p^83*q^1464+348*p^81*q^1466+48*p^ 122*q^1424+39224*p^120*q^1426+245912*p^118*q^1428+12795090*p^116*q^1430+ 136742592*p^114*q^1432+2151919366*p^112*q^1434+26377294783*p^110*q^1436+ 275810921100*p^108*q^1438+2432182889501*p^106*q^1440+14699818542264*p^104*q^ 1442+37867809803921*p^102*q^1444+28935896659102*p^100*q^1446+7635001206152*p^98 *q^1448+1137739359626*p^96*q^1450+130859595611*p^94*q^1452+12753208562*p^92*q^ 1454+1090733313*p^90*q^1456+67225374*p^88*q^1458+3991622*p^86*q^1460+40706*p^84 *q^1462+11902*p^82*q^1464+8992*p^121*q^1424+15564*p^119*q^1426+2050678*p^117*q^ 1428+36504190*p^115*q^1430+559757616*p^113*q^1432+7131919828*p^111*q^1434+ 81968889385*p^109*q^1436+798988620166*p^107*q^1438+6152080268472*p^105*q^1440+ 26564263912824*p^103*q^1442+39069274469960*p^101*q^1444+17118722967144*p^99*q^ 1446+3242064982516*p^97*q^1448+417544215598*p^95*q^1450+44351166306*p^93*q^1452 +4024873058*p^91*q^1454+281417508*p^89*q^1456+21028716*p^87*q^1458+508602*p^85* q^1460+58650*p^83*q^1462+80*p^81*q^1464+278*p^122*q^1422+44424*p^120*q^1424+ 148814*p^118*q^1426+11199680*p^116*q^1428+119136298*p^114*q^1430+1906068421*p^ 112*q^1432+23430128198*p^110*q^1434+246274273789*p^108*q^1436+2208113661270*p^ 106*q^1438+13700471542393*p^104*q^1440+37520964905922*p^102*q^1442+ 30356216284032*p^100*q^1444+8381383072512*p^98*q^1446+1264602027387*p^96*q^1448 +146873483588*p^94*q^1450+14438659362*p^92*q^1452+1245104722*p^90*q^1454+ 75341894*p^88*q^1456+5337914*p^86*q^1458+50128*p^84*q^1460+17168*p^82*q^1462+16 *p^80*q^1464+2368*p^121*q^1422+57690*p^119*q^1424+1420954*p^117*q^1426+35124555 *p^115*q^1428+471749226*p^113*q^1430+6279742354*p^111*q^1432+73013566156*p^109* q^1434+717056337265*p^107*q^1436+5655482423848*p^105*q^1438+25354823935940*p^ 103*q^1440+39933430544350*p^101*q^1442+18365794735269*p^99*q^1444+3591698800086 *p^97*q^1446+465572226495*p^95*q^1448+49823119422*p^93*q^1450+4487481274*p^91*q ^1452+329467076*p^89*q^1454+22167400*p^87*q^1456+645896*p^85*q^1458+22016*p^83* q^1460+1084*p^81*q^1462+28*p^122*q^1420+47348*p^120*q^1422+88592*p^118*q^1424+ 9195594*p^116*q^1426+105012074*p^114*q^1428+1711263420*p^112*q^1430+20739473847 *p^110*q^1432+221172522800*p^108*q^1434+1997301430659*p^106*q^1436+ 12811777988190*p^104*q^1438+36844514234055*p^102*q^1440+31909469736246*p^100*q^ 1442+9142078732904*p^98*q^1444+1409841714052*p^96*q^1446+164327019437*p^94*q^ 1448+16345983630*p^92*q^1450+1410845535*p^90*q^1452+83489612*p^88*q^1454+ 6497166*p^86*q^1456+94800*p^84*q^1458+23536*p^82*q^1460+2288*p^121*q^1420+ 112772*p^119*q^1422+1056342*p^117*q^1424+33671168*p^115*q^1426+408253468*p^113* q^1428+5563744450*p^111*q^1430+65068139849*p^109*q^1432+645849955946*p^107*q^ 1434+5164480716506*p^105*q^1436+24252065213192*p^103*q^1438+40422484672592*p^ 101*q^1440+19773769752484*p^99*q^1442+3963169856809*p^97*q^1444+521771084298*p^ 95*q^1446+56087690008*p^93*q^1448+5089977044*p^91*q^1450+396116356*p^89*q^1452+ 25205504*p^87*q^1454+1108826*p^85*q^1456+5016*p^83*q^1458+2560*p^81*q^1460+ 27900*p^120*q^1420+93090*p^118*q^1422+6979920*p^116*q^1424+95058518*p^114*q^ 1426+1490513256*p^112*q^1428+18319729182*p^110*q^1430+197116305482*p^108*q^1432 +1809269603580*p^106*q^1434+11886608958030*p^104*q^1436+36270123147166*p^102*q^ 1438+33282459556372*p^100*q^1440+10010684471248*p^98*q^1442+1565539126658*p^96* q^1444+184476534510*p^94*q^1446+18377242680*p^92*q^1448+1579880278*p^90*q^1450+ 92632206*p^88*q^1452+6941006*p^86*q^1454+76644*p^84*q^1456+16556*p^82*q^1458+36 *p^80*q^1460+1016*p^121*q^1418+155410*p^119*q^1420+642436*p^117*q^1422+30450586 *p^115*q^1424+347552236*p^113*q^1426+4935026908*p^111*q^1428+57969162272*p^109* q^1430+579273482584*p^107*q^1432+4731589949908*p^105*q^1434+23025553257882*p^ 103*q^1436+41050830496372*p^101*q^1438+21117301833149*p^99*q^1440+4383299745620 *p^97*q^1442+581365059640*p^95*q^1444+62862523518*p^93*q^1446+5749481615*p^91*q ^1448+460292842*p^89*q^1450+26577566*p^87*q^1452+1571012*p^85*q^1454+14456*p^83 *q^1456+4886*p^81*q^1458+14738*p^120*q^1418+180108*p^118*q^1420+5414842*p^116*q ^1422+89928001*p^114*q^1424+1311271428*p^112*q^1426+16189008192*p^110*q^1428+ 176744000258*p^108*q^1430+1633079032106*p^106*q^1432+11066921806754*p^104*q^ 1434+35381410142466*p^102*q^1436+34790300108550*p^100*q^1438+10884521432159*p^ 98*q^1440+1744531652864*p^96*q^1442+206414389037*p^94*q^1444+20827730948*p^92*q ^1446+1768855418*p^90*q^1448+111018102*p^88*q^1450+8207140*p^86*q^1452+158606*p ^84*q^1454+2340*p^82*q^1456+224*p^80*q^1458+72*p^121*q^1416+153092*p^119*q^1418 +481796*p^117*q^1420+26683666*p^115*q^1422+300872175*p^113*q^1424+4396872628*p^ 111*q^1426+51600065027*p^109*q^1428+521033443136*p^107*q^1430+4310775542772*p^ 105*q^1432+21892388934064*p^103*q^1434+41293521827213*p^101*q^1436+ 22636165851492*p^99*q^1438+4827752782447*p^97*q^1440+650824257816*p^95*q^1442+ 70627498688*p^93*q^1444+6525785356*p^91*q^1446+535840493*p^89*q^1448+28216580*p ^87*q^1450+1912248*p^85*q^1452+10836*p^83*q^1454+7572*p^81*q^1456+4*p^122*q^ 1414+12580*p^120*q^1416+325254*p^118*q^1418+3849048*p^116*q^1420+84258744*p^114 *q^1422+1134727140*p^112*q^1424+14307646044*p^110*q^1426+157361251460*p^108*q^ 1428+1476740388564*p^106*q^1430+10225340635127*p^104*q^1432+34596264916492*p^ 102*q^1434+36068556307225*p^100*q^1436+11885206076308*p^98*q^1438+1934911407934 *p^96*q^1440+231709252078*p^94*q^1442+23405507485*p^92*q^1444+1990138210*p^90*q ^1446+131507725*p^88*q^1448+9144452*p^86*q^1450+269770*p^84*q^1452+1328*p^82*q^ 1454+448*p^80*q^1456+60*p^121*q^1414+89848*p^119*q^1416+365372*p^117*q^1418+ 21771220*p^115*q^1420+261369676*p^113*q^1422+3881829312*p^111*q^1424+ 45823392036*p^109*q^1426+466650473676*p^107*q^1428+3937718110156*p^105*q^1430+ 20678585371561*p^103*q^1432+41640903679150*p^101*q^1434+24070661692169*p^99*q^ 1436+5330381750202*p^97*q^1438+724475099242*p^95*q^1440+79219362186*p^93*q^1442 +7381537714*p^91*q^1444+601306466*p^89*q^1446+30194556*p^87*q^1448+2172168*p^85 *q^1450+13600*p^83*q^1452+2164*p^81*q^1454+8*p^79*q^1456+2490*p^120*q^1414+ 471528*p^118*q^1416+2903262*p^116*q^1418+79400616*p^114*q^1420+990154212*p^112* q^1422+12683048741*p^110*q^1424+141068725952*p^108*q^1426+1330867635638*p^106*q ^1428+9483401154538*p^104*q^1430+33543457091647*p^102*q^1432+37468299465544*p^ 100*q^1434+12879686068083*p^98*q^1436+2153131580958*p^96*q^1438+259274588556*p^ 94*q^1440+26380435168*p^92*q^1442+2234584879*p^90*q^1444+162647130*p^88*q^1446+ 9761990*p^86*q^1448+429032*p^84*q^1450+2016*p^82*q^1452+1860*p^80*q^1454+64*p^ 121*q^1412+83992*p^119*q^1414+542918*p^117*q^1416+17573598*p^115*q^1418+ 236290294*p^113*q^1420+3445692204*p^111*q^1422+40688641071*p^109*q^1424+ 419330418862*p^107*q^1426+3575936883682*p^105*q^1428+19558069236536*p^103*q^ 1430+41612739134445*p^101*q^1432+25673893082620*p^99*q^1434+5860219115453*p^97* q^1436+811224819126*p^95*q^1438+88994650022*p^93*q^1440+8428155010*p^91*q^1442+ 689743834*p^89*q^1444+33982948*p^87*q^1446+2836660*p^85*q^1448+31580*p^83*q^ 1450+48*p^81*q^1452+12*p^79*q^1454+1516*p^120*q^1412+395820*p^118*q^1414+ 1892284*p^116*q^1416+71318878*p^114*q^1418+847136970*p^112*q^1420+11212711588*p ^110*q^1422+125524134649*p^108*q^1424+1201225703586*p^106*q^1426+8728394821088* p^104*q^1428+32594290925268*p^102*q^1430+38619396076925*p^100*q^1432+ 14013097680202*p^98*q^1434+2384831690345*p^96*q^1436+290467340792*p^94*q^1438+ 29561531571*p^92*q^1440+2517823144*p^90*q^1442+186952226*p^88*q^1444+9914374*p^ 86*q^1446+467248*p^84*q^1448+478*p^82*q^1450+1188*p^80*q^1452+16*p^121*q^1410+ 34830*p^119*q^1412+917790*p^117*q^1414+13868847*p^115*q^1416+215122934*p^113*q^ 1418+3027291074*p^111*q^1420+36152651332*p^109*q^1422+374988726173*p^107*q^1424 +3259899944324*p^105*q^1426+18367855526334*p^103*q^1428+41688272619496*p^101*q^ 1430+27166981988651*p^99*q^1432+6457033317192*p^97*q^1434+902610549662*p^95*q^ 1436+100004932482*p^93*q^1438+9525451161*p^91*q^1440+764823088*p^89*q^1442+ 42114039*p^87*q^1444+3200318*p^85*q^1446+66558*p^83*q^1448+264*p^81*q^1450+216* p^79*q^1452+588*p^120*q^1410+376088*p^118*q^1412+1541322*p^116*q^1414+61951644* p^114*q^1416+737683232*p^112*q^1418+9961853277*p^110*q^1420+112180855658*p^108* q^1422+1081202463171*p^106*q^1424+8064070429306*p^104*q^1426+31397887442510*p^ 102*q^1428+39877199630176*p^100*q^1430+15138218410027*p^98*q^1432+2650667164278 *p^96*q^1434+324717534305*p^94*q^1436+33290360484*p^92*q^1438+2867079743*p^90*q ^1440+223113668*p^88*q^1442+9582054*p^86*q^1444+663272*p^84*q^1446+2540*p^82*q^ 1448+18712*p^119*q^1410+1099232*p^117*q^1412+10407702*p^115*q^1414+201130620*p^ 113*q^1416+2671167702*p^111*q^1418+32023621981*p^109*q^1420+336829776400*p^107* q^1422+2953551611831*p^105*q^1424+17292977945556*p^103*q^1426+41363914386373*p^ 101*q^1428+28831764756584*p^99*q^1430+7081305223113*p^97*q^1432+1009033699776*p ^95*q^1434+112314612315*p^93*q^1436+10790926724*p^91*q^1438+856966888*p^89*q^ 1440+51302558*p^87*q^1442+3725320*p^85*q^1444+93150*p^83*q^1446+368*p^79*q^1450 +4*p^124*q^1404+552*p^120*q^1408+254718*p^118*q^1410+1759844*p^116*q^1412+ 52797640*p^114*q^1414+641350074*p^112*q^1416+8813917164*p^110*q^1418+ 99824783707*p^108*q^1420+974092169844*p^106*q^1422+7396122158503*p^104*q^1424+ 30322179126728*p^102*q^1426+40824386309961*p^100*q^1428+16416083992730*p^98*q^ 1430+2932965152148*p^96*q^1432+364116413144*p^94*q^1434+37329007112*p^92*q^1436 +3277384356*p^90*q^1438+256644456*p^88*q^1440+10276242*p^86*q^1442+831766*p^84* q^1444+5706*p^82*q^1446+16*p^80*q^1448+8*p^78*q^1450+8230*p^119*q^1408+1183474* p^117*q^1410+7392356*p^115*q^1412+182242724*p^113*q^1414+2318669242*p^111*q^ 1416+28414563270*p^109*q^1418+300694389985*p^107*q^1420+2684516579578*p^105*q^ 1422+16164605049199*p^103*q^1424+41174513416750*p^101*q^1426+30344450884478*p^ 99*q^1428+7784805775962*p^97*q^1430+1122013544052*p^95*q^1432+125978891660*p^93 *q^1434+12111736694*p^91*q^1436+952297596*p^89*q^1438+61194266*p^87*q^1440+ 3430900*p^85*q^1442+109110*p^83*q^1444+112*p^81*q^1446+60*p^120*q^1406+144736*p ^118*q^1408+2161142*p^116*q^1410+43981532*p^114*q^1412+571756692*p^112*q^1414+ 7831379842*p^110*q^1416+89198682288*p^108*q^1418+875721413491*p^106*q^1420+ 6809411117370*p^104*q^1422+29040483146028*p^102*q^1424+41892261065882*p^100*q^ 1426+17656111018770*p^98*q^1428+3256145517992*p^96*q^1430+406617012057*p^94*q^ 1432+42078527526*p^92*q^1434+3753388311*p^90*q^1436+290376932*p^88*q^1438+ 12572502*p^86*q^1440+1174094*p^84*q^1442+15928*p^82*q^1444+60*p^78*q^1448+60*p^ 123*q^1402+5964*p^119*q^1406+1114514*p^117*q^1408+6322762*p^115*q^1410+ 165304457*p^113*q^1412+2032163296*p^111*q^1414+25201685822*p^109*q^1416+ 269620121076*p^107*q^1418+2427826559209*p^105*q^1420+15137475832270*p^103*q^ 1422+40588401596036*p^101*q^1424+32036763612218*p^99*q^1426+8515940854133*p^97* q^1428+1253448698066*p^95*q^1430+141500165696*p^93*q^1432+13695630712*p^91*q^ 1434+1079490729*p^89*q^1436+77496218*p^87*q^1438+3245686*p^85*q^1440+158232*p^ 83*q^1442+184*p^81*q^1444+32*p^120*q^1404+90908*p^118*q^1406+2644358*p^116*q^ 1408+33704912*p^114*q^1410+512632492*p^112*q^1412+6916102356*p^110*q^1414+ 79155491935*p^108*q^1416+788116304622*p^106*q^1418+6224235544804*p^104*q^1420+ 27868314975294*p^102*q^1422+42622417532557*p^100*q^1424+19075343302530*p^98*q^ 1426+3596599577469*p^96*q^1428+455548689932*p^94*q^1430+47223006633*p^92*q^1432 +4261784868*p^90*q^1434+322770647*p^88*q^1436+14154784*p^86*q^1438+1262418*p^84 *q^1440+14322*p^82*q^1442+8*p^123*q^1400+4*p^121*q^1402+2380*p^119*q^1404+ 766310*p^117*q^1406+5311476*p^115*q^1408+146632136*p^113*q^1410+1758200386*p^ 111*q^1412+22329104958*p^109*q^1414+240627179340*p^107*q^1416+2202063983578*p^ 105*q^1418+14088578102313*p^103*q^1420+40120072488946*p^101*q^1422+ 33535800710789*p^99*q^1424+9339369235080*p^97*q^1426+1391708170751*p^95*q^1428+ 158746336464*p^93*q^1430+15323406096*p^91*q^1432+1228006486*p^89*q^1434+ 89848070*p^87*q^1436+3218178*p^85*q^1438+258978*p^83*q^1440+1684*p^81*q^1442+4* p^77*q^1446+368*p^122*q^1400+44990*p^118*q^1404+3158028*p^116*q^1406+27558054*p ^114*q^1408+467019532*p^112*q^1410+6121002746*p^110*q^1412+70717832396*p^108*q^ 1414+707458033244*p^106*q^1416+5712588973718*p^104*q^1418+26538781855473*p^102* q^1420+43431198095278*p^100*q^1422+20439274297650*p^98*q^1424+3986709470464*p^ 96*q^1426+508895587633*p^94*q^1428+53245445328*p^92*q^1430+4854722886*p^90*q^ 1432+359808658*p^88*q^1434+19276694*p^86*q^1436+1262632*p^84*q^1438+20928*p^82* q^1440+860*p^119*q^1402+601554*p^117*q^1404+5474900*p^115*q^1406+124638938*p^ 113*q^1408+1544164172*p^111*q^1410+19808147864*p^109*q^1412+215396619264*p^107* q^1414+1986833834348*p^105*q^1416+13136891475526*p^103*q^1418+39293049043666*p^ 101*q^1420+35202330850108*p^99*q^1422+10187228673975*p^97*q^1424+1554079043036* p^95*q^1426+177884401542*p^93*q^1428+17300976540*p^91*q^1430+1416851546*p^89*q^ 1432+105806280*p^87*q^1434+3137598*p^85*q^1436+371216*p^83*q^1438+2060*p^81*q^ 1440+216*p^122*q^1398+64*p^120*q^1400+33202*p^118*q^1402+2767578*p^116*q^1404+ 21741780*p^114*q^1406+424287341*p^112*q^1408+5377738644*p^110*q^1410+ 62695739726*p^108*q^1412+635856718930*p^106*q^1414+5206035529411*p^104*q^1416+ 25325233654282*p^102*q^1418+43905139059917*p^100*q^1420+21976477157268*p^98*q^ 1422+4397852575319*p^96*q^1424+569369565008*p^94*q^1426+59832433558*p^92*q^1428 +5479737316*p^90*q^1430+396734308*p^88*q^1432+23861602*p^86*q^1434+1188856*p^84 *q^1436+36394*p^82*q^1438+68*p^80*q^1440+1192*p^121*q^1398+200*p^119*q^1400+ 318804*p^117*q^1402+6629070*p^115*q^1404+104173692*p^113*q^1406+1353067218*p^ 111*q^1408+17595127940*p^109*q^1410+192053162953*p^107*q^1412+1798821734962*p^ 105*q^1414+12167706021830*p^103*q^1416+38589562859514*p^101*q^1418+ 36638088653471*p^99*q^1420+11142474035194*p^97*q^1422+1724112074881*p^95*q^1424 +199625507588*p^93*q^1426+19379559825*p^91*q^1428+1623042894*p^89*q^1430+ 119201242*p^87*q^1432+3848108*p^85*q^1434+398518*p^83*q^1436+1714*p^81*q^1438+ 16*p^122*q^1396+12*p^120*q^1398+13160*p^118*q^1400+2531360*p^116*q^1402+ 17370972*p^114*q^1404+381691378*p^112*q^1406+4724136584*p^110*q^1408+ 55813111178*p^108*q^1410+569853227855*p^106*q^1412+4763994252236*p^104*q^1414+ 23978191526788*p^102*q^1416+44457240470340*p^100*q^1418+23448547113476*p^98*q^ 1420+4864352458004*p^96*q^1422+635468882858*p^94*q^1424+67418489978*p^92*q^1426 +6185828687*p^90*q^1428+449100042*p^88*q^1430+29887958*p^86*q^1432+897674*p^84* q^1434+79468*p^82*q^1436+264*p^80*q^1438+1840*p^121*q^1396+496*p^119*q^1398+ 249416*p^117*q^1400+7102288*p^115*q^1402+87869982*p^113*q^1404+1216078348*p^111 *q^1406+15606481686*p^109*q^1408+172054561304*p^107*q^1410+1621068386292*p^105* q^1412+11300145916080*p^103*q^1414+37537686327129*p^101*q^1416+38232968698482*p ^99*q^1418+12115626319707*p^97*q^1420+1922886861966*p^95*q^1422+223675035999*p^ 93*q^1424+21910724328*p^91*q^1426+1872262639*p^89*q^1428+134517356*p^87*q^1430+ 5339964*p^85*q^1432+497940*p^83*q^1434+2992*p^81*q^1436+12*p^122*q^1394+2200*p^ 120*q^1396+6172*p^118*q^1398+1774506*p^116*q^1400+16013234*p^114*q^1402+ 334685504*p^112*q^1404+4119088782*p^110*q^1406+49462169074*p^108*q^1408+ 511121657146*p^106*q^1410+4327594097579*p^104*q^1412+22757522463504*p^102*q^ 1414+44622066854290*p^100*q^1416+25108206640414*p^98*q^1418+5356197748898*p^96* q^1420+711027381550*p^94*q^1422+75699099158*p^92*q^1424+6953242632*p^90*q^1426+ 512955764*p^88*q^1428+35329628*p^86*q^1430+752982*p^84*q^1432+86598*p^82*q^1434 +72*p^80*q^1436+512*p^121*q^1394+474*p^119*q^1396+139824*p^117*q^1398+7286378*p ^115*q^1400+70037966*p^113*q^1402+1084685522*p^111*q^1404+13831420632*p^109*q^ 1406+153134697972*p^107*q^1408+1464975461306*p^105*q^1410+10428637423710*p^103* q^1412+36633576617854*p^101*q^1414+39553009986498*p^99*q^1416+13209603980090*p^ 97*q^1418+2131443935043*p^95*q^1420+250591592922*p^93*q^1422+24570293830*p^91*q ^1424+2127889066*p^89*q^1426+144145760*p^87*q^1428+6851028*p^85*q^1430+379564*p ^83*q^1432+11354*p^81*q^1434+16*p^79*q^1436+7400*p^120*q^1394+3064*p^118*q^1396 +1301170*p^116*q^1398+16195698*p^114*q^1400+295517498*p^112*q^1402+3625128006*p ^110*q^1404+44094740042*p^108*q^1406+457838765709*p^106*q^1408+3949271751168*p^ 104*q^1410+21430230223806*p^102*q^1412+44889144637404*p^100*q^1414+ 26647292089944*p^98*q^1416+5915996515242*p^96*q^1418+792521127773*p^94*q^1420+ 85311231244*p^92*q^1422+7842531342*p^90*q^1424+595724866*p^88*q^1426+43086518*p ^86*q^1428+997850*p^84*q^1430+148156*p^82*q^1432+120*p^80*q^1434+292*p^121*q^ 1392+2356*p^119*q^1394+77828*p^117*q^1396+6685556*p^115*q^1398+57665738*p^113*q ^1400+973608514*p^111*q^1402+12224803473*p^109*q^1404+136798917246*p^107*q^1406 +1317752904652*p^105*q^1408+9643597911454*p^103*q^1410+35417936400400*p^101*q^ 1412+41025654275694*p^99*q^1414+14317143139177*p^97*q^1416+2373880590422*p^95*q ^1418+280832559868*p^93*q^1420+27824927130*p^91*q^1422+2422716623*p^89*q^1424+ 162280572*p^87*q^1426+8820991*p^85*q^1428+255958*p^83*q^1430+13978*p^81*q^1432+ 5148*p^120*q^1392+5860*p^118*q^1394+965806*p^116*q^1396+16836428*p^114*q^1398+ 251738918*p^112*q^1400+3195943486*p^110*q^1402+39055365638*p^108*q^1404+ 410482441146*p^106*q^1406+3580029646728*p^104*q^1408+20226601721774*p^102*q^ 1410+44754778246622*p^100*q^1412+28399732898586*p^98*q^1414+6497315479716*p^96* q^1416+886487104518*p^94*q^1418+95559554664*p^92*q^1420+8794475034*p^90*q^1422+ 688717911*p^88*q^1424+47848110*p^86*q^1426+1269042*p^84*q^1428+156542*p^82*q^ 1430+912*p^80*q^1432+20*p^121*q^1390+16048*p^119*q^1392+33236*p^117*q^1394+ 5207996*p^115*q^1396+48157210*p^113*q^1398+871015954*p^111*q^1400+10758198574*p ^109*q^1402+121663438718*p^107*q^1404+1188453071792*p^105*q^1406+8865588938452* p^103*q^1408+34336782474926*p^101*q^1410+42186436589912*p^99*q^1412+ 15559862163388*p^97*q^1414+2628622004996*p^95*q^1416+314593047658*p^93*q^1418+ 31323897660*p^91*q^1420+2742362934*p^89*q^1422+180764913*p^87*q^1424+11121698*p ^85*q^1426+187028*p^83*q^1428+25592*p^81*q^1430+3144*p^120*q^1390+2624*p^118*q^ 1392+598662*p^116*q^1394+17787284*p^114*q^1396+213926548*p^112*q^1398+ 2823006216*p^110*q^1400+34841203778*p^108*q^1402+367261231506*p^106*q^1404+ 3259045551978*p^104*q^1406+18960398342798*p^102*q^1408+44704988632672*p^100*q^ 1410+29992293635112*p^98*q^1412+7159789638702*p^96*q^1414+987093133289*p^94*q^ 1416+107517480452*p^92*q^1418+9869961648*p^90*q^1420+795033580*p^88*q^1422+ 52653006*p^86*q^1424+1862290*p^84*q^1426+123028*p^82*q^1428+1932*p^80*q^1430+ 23204*p^119*q^1390+41314*p^117*q^1392+4492754*p^115*q^1394+44019552*p^113*q^ 1396+778808586*p^111*q^1398+9507303694*p^109*q^1400+108608571874*p^107*q^1402+ 1067173575340*p^105*q^1404+8169251025740*p^103*q^1406+32990387780603*p^101*q^ 1408+43470490892990*p^99*q^1410+16802434980860*p^97*q^1412+2925291574570*p^95*q ^1414+352400000211*p^93*q^1416+35461005340*p^91*q^1418+3123173122*p^89*q^1420+ 211556130*p^87*q^1422+14372444*p^85*q^1424+195842*p^83*q^1426+45526*p^81*q^1428 +32*p^79*q^1430+992*p^120*q^1388+20368*p^118*q^1390+352076*p^116*q^1392+ 15960624*p^114*q^1394+175582128*p^112*q^1396+2500047466*p^110*q^1398+ 30778913415*p^108*q^1400+328703002956*p^106*q^1402+2947101360691*p^104*q^1404+ 17805448596614*p^102*q^1406+44291197105418*p^100*q^1408+31789590145164*p^98*q^ 1410+7847610229172*p^96*q^1412+1102921301162*p^94*q^1414+120375830725*p^92*q^ 1416+11140123678*p^90*q^1418+904785606*p^88*q^1420+56902232*p^86*q^1422+2234592 *p^84*q^1424+73328*p^82*q^1426+2108*p^80*q^1428+4*p^121*q^1386+19884*p^119*q^ 1388+21676*p^117*q^1390+3227760*p^115*q^1392+43112638*p^113*q^1394+684343925*p^ 111*q^1396+8375042796*p^109*q^1398+96572782590*p^107*q^1400+961655351946*p^105* q^1402+7481616150627*p^103*q^1404+31793845221180*p^101*q^1406+44415111928210*p^ 99*q^1408+18189528969276*p^97*q^1410+3233585379424*p^95*q^1412+394585562048*p^ 93*q^1414+39853508112*p^91*q^1416+3473459982*p^89*q^1418+244129955*p^87*q^1420+ 16345466*p^85*q^1422+319716*p^83*q^1424+44080*p^81*q^1426+188*p^79*q^1428+40*p^ 120*q^1386+54192*p^118*q^1388+245126*p^116*q^1390+14991968*p^114*q^1392+ 147377570*p^112*q^1394+2239627830*p^110*q^1396+27386150806*p^108*q^1398+ 293718742616*p^106*q^1400+2676717954878*p^104*q^1402+16604295653002*p^102*q^ 1404+43949431226160*p^100*q^1406+33406057813160*p^98*q^1408+8627266978390*p^96* q^1410+1227915440534*p^94*q^1412+135554411490*p^92*q^1414+12594489872*p^90*q^ 1416+1058621508*p^88*q^1418+64042699*p^86*q^1420+3322630*p^84*q^1422+30816*p^82 *q^1424+8372*p^80*q^1426+12056*p^119*q^1386+24008*p^117*q^1388+2356010*p^115*q^ 1390+41038782*p^113*q^1392+597117664*p^111*q^1394+7362455144*p^109*q^1396+ 86118053512*p^107*q^1398+862442424998*p^105*q^1400+6872465136798*p^103*q^1402+ 30356779491238*p^101*q^1404+45478408788944*p^99*q^1406+19563839063492*p^97*q^ 1408+3591404927634*p^95*q^1410+441232654228*p^93*q^1412+44920495126*p^91*q^1414 +3906257012*p^89*q^1416+279359908*p^87*q^1418+18305460*p^85*q^1420+404774*p^83* q^1422+41320*p^81*q^1424+48*p^79*q^1426+160*p^120*q^1384+72792*p^118*q^1386+ 194604*p^116*q^1388+12635816*p^114*q^1390+129375148*p^112*q^1392+1995860834*p^ 110*q^1394+24228897960*p^108*q^1396+262779635302*p^106*q^1398+2415464380229*p^ 104*q^1400+15523702810474*p^102*q^1402+43227165020530*p^100*q^1404+ 35217901158960*p^98*q^1406+9432656591790*p^96*q^1408+1371344161700*p^94*q^1410+ 151897325621*p^92*q^1412+14295422556*p^90*q^1414+1203836836*p^88*q^1416+ 73842128*p^86*q^1418+4308896*p^84*q^1420+38614*p^82*q^1422+9736*p^80*q^1424+8*p ^78*q^1426+2348*p^119*q^1384+75192*p^117*q^1386+1495784*p^115*q^1388+39644480*p ^113*q^1390+502525976*p^111*q^1392+6495649008*p^109*q^1394+76379821031*p^107*q^ 1396+775196190510*p^105*q^1398+6274284239627*p^103*q^1400+29084231191808*p^101* q^1402+46154857749705*p^99*q^1404+21099483727740*p^97*q^1406+3965540679501*p^95 *q^1408+493952468606*p^93*q^1410+50361021278*p^91*q^1412+4363154734*p^89*q^1414 +324676052*p^87*q^1416+19458362*p^85*q^1418+539884*p^83*q^1420+11616*p^81*q^ 1422+852*p^79*q^1424+12*p^120*q^1382+70152*p^118*q^1384+101624*p^116*q^1386+ 10486486*p^114*q^1388+114702200*p^112*q^1390+1789311900*p^110*q^1392+ 21511200762*p^108*q^1394+234650102230*p^106*q^1396+2189949428388*p^104*q^1398+ 14414878064701*p^102*q^1400+42626986509530*p^100*q^1402+36782297017535*p^98*q^ 1404+10341764549220*p^96*q^1406+1524523296067*p^94*q^1408+170655173204*p^92*q^ 1410+16171085036*p^90*q^1412+1360951894*p^88*q^1414+83192122*p^86*q^1416+ 5354366*p^84*q^1418+75932*p^82*q^1420+15592*p^80*q^1422+2200*p^119*q^1382+ 151124*p^117*q^1384+1216548*p^115*q^1386+37628662*p^113*q^1388+435902492*p^111* q^1390+5759339962*p^109*q^1392+68148574360*p^107*q^1394+694737154802*p^105*q^ 1396+5742916741234*p^103*q^1398+27613317978383*p^101*q^1400+46947149981124*p^99 *q^1402+22590879329954*p^97*q^1404+4398946875024*p^95*q^1406+552348848517*p^93* q^1408+56949150770*p^91*q^1410+4940004568*p^89*q^1412+388408528*p^87*q^1414+ 23161256*p^85*q^1416+861908*p^83*q^1418+2942*p^81*q^1420+1356*p^79*q^1422+31556 *p^118*q^1382+123294*p^116*q^1384+7773278*p^114*q^1386+103600532*p^112*q^1388+ 1564419368*p^110*q^1390+18923634644*p^108*q^1392+209419506182*p^106*q^1394+ 1971695362154*p^104*q^1396+13409484140166*p^102*q^1398+41659328632903*p^100*q^ 1400+38569321130796*p^98*q^1402+11272795705738*p^96*q^1404+1700679359746*p^94*q ^1406+191181670633*p^92*q^1408+18207307162*p^90*q^1410+1517716734*p^88*q^1412+ 93418904*p^86*q^1414+5578924*p^84*q^1416+65254*p^82*q^1418+7510*p^80*q^1420+32* p^78*q^1422+608*p^119*q^1380+226148*p^117*q^1382+736444*p^115*q^1384+33866014*p ^113*q^1386+373355510*p^111*q^1388+5124233706*p^109*q^1390+60483271211*p^107*q^ 1392+624252751870*p^105*q^1394+5229538963263*p^103*q^1396+26301608021594*p^101* q^1398+47339474527887*p^99*q^1400+24259592098990*p^97*q^1402+4845968582475*p^95 *q^1404+618156067950*p^93*q^1406+63731454522*p^91*q^1408+5600729780*p^89*q^1410 +447789654*p^87*q^1412+25176890*p^85*q^1414+1270298*p^83*q^1416+11664*p^81*q^ 1418+3252*p^79*q^1420+18380*p^118*q^1380+202882*p^116*q^1382+6000484*p^114*q^ 1384+98891750*p^112*q^1386+1374374190*p^110*q^1388+16770848634*p^108*q^1390+ 186830432580*p^106*q^1392+1783571269956*p^104*q^1394+12400564468652*p^102*q^ 1396+40784828210300*p^100*q^1398+40056386504266*p^98*q^1400+12325835282232*p^96 *q^1402+1889687710299*p^94*q^1404+214823228560*p^92*q^1406+20634737788*p^90*q^ 1408+1699506590*p^88*q^1410+111638688*p^86*q^1412+6891900*p^84*q^1414+120458*p^ 82*q^1416+550*p^80*q^1418+136*p^78*q^1420+44*p^119*q^1378+183008*p^117*q^1380+ 577808*p^115*q^1382+29752226*p^113*q^1384+320907572*p^111*q^1386+4559621970*p^ 109*q^1388+53876454210*p^107*q^1390+558412818117*p^105*q^1392+4774683048736*p^ 103*q^1394+24836076136476*p^101*q^1396+47823810807524*p^99*q^1398+ 25859055028459*p^97*q^1400+5366163525198*p^95*q^1402+689980370569*p^93*q^1404+ 71895904544*p^91*q^1406+6330519928*p^89*q^1408+517929832*p^87*q^1410+27841774*p ^85*q^1412+1454304*p^83*q^1414+9534*p^81*q^1416+3354*p^79*q^1418+4*p^120*q^1376 +9692*p^118*q^1378+425620*p^116*q^1380+4381106*p^114*q^1382+91188112*p^112*q^ 1384+1201548350*p^110*q^1386+14786231607*p^108*q^1388+166617453472*p^106*q^1390 +1603568357220*p^104*q^1392+11489197889592*p^102*q^1394+39608021090007*p^100*q^ 1396+41725407922814*p^98*q^1398+13395597134426*p^96*q^1400+2106080571992*p^94*q ^1402+240638639162*p^92*q^1404+23270588316*p^90*q^1406+1910936884*p^88*q^1408+ 132192324*p^86*q^1410+7884162*p^84*q^1412+215168*p^82*q^1414+1004*p^80*q^1416+ 316*p^78*q^1418+20*p^119*q^1376+115728*p^117*q^1378+423974*p^115*q^1380+ 24065836*p^113*q^1382+282703348*p^111*q^1384+4031639484*p^109*q^1386+ 47675515273*p^107*q^1388+501001130314*p^105*q^1390+4334058637140*p^103*q^1392+ 23529254672760*p^101*q^1394+47903293659025*p^99*q^1396+27639557039498*p^97*q^ 1398+5902450836678*p^95*q^1400+771749209678*p^93*q^1402+80535321257*p^91*q^1404 +7174898232*p^89*q^1406+577912088*p^87*q^1408+30728636*p^85*q^1410+1652693*p^83 *q^1412+10636*p^81*q^1414+348*p^79*q^1416+8*p^77*q^1418+2124*p^118*q^1376+ 561124*p^116*q^1378+3214580*p^114*q^1380+86582514*p^112*q^1382+1039591478*p^110 *q^1384+13153817714*p^108*q^1386+148553001978*p^106*q^1388+1448476004656*p^104* q^1390+10580672983548*p^102*q^1392+38542092410156*p^100*q^1394+43077408978671*p ^98*q^1396+14592700334448*p^96*q^1398+2336434741531*p^94*q^1400+270297184892*p^ 92*q^1402+26203214520*p^90*q^1404+2145760492*p^88*q^1406+161211258*p^86*q^1408+ 8655780*p^84*q^1410+333482*p^82*q^1412+1904*p^80*q^1414+884*p^78*q^1416+136*p^ 119*q^1374+78966*p^117*q^1376+627132*p^115*q^1378+19727298*p^113*q^1380+ 253916998*p^111*q^1382+3587860512*p^109*q^1384+42390171550*p^107*q^1386+ 447847719513*p^105*q^1388+3945988321384*p^103*q^1390+22097169761797*p^101*q^ 1392+48068872492900*p^99*q^1394+29318990082896*p^97*q^1396+6522580145306*p^95*q ^1398+861766214829*p^93*q^1400+90844737288*p^91*q^1402+8184806832*p^89*q^1404+ 661773320*p^87*q^1406+35259850*p^85*q^1408+2285398*p^83*q^1410+22924*p^81*q^ 1412+28*p^79*q^1414+8*p^77*q^1416+1132*p^118*q^1374+485000*p^116*q^1376+2280052 *p^114*q^1378+77095392*p^112*q^1380+898341672*p^110*q^1382+11588868157*p^108*q^ 1384+132434304694*p^106*q^1386+1299734903033*p^104*q^1388+9768577987668*p^102*q ^1390+37174172538926*p^100*q^1392+44610824285512*p^98*q^1394+15804629183965*p^ 96*q^1396+2600685113578*p^94*q^1398+302187086960*p^92*q^1400+29486015298*p^90*q ^1402+2407742046*p^88*q^1404+184391244*p^86*q^1406+9428228*p^84*q^1408+318092*p ^82*q^1410+452*p^80*q^1412+134*p^78*q^1414+2*p^123*q^1368+20*p^119*q^1372+30888 *p^117*q^1374+1043006*p^115*q^1376+15020262*p^113*q^1378+230894002*p^111*q^1380 +3154841754*p^109*q^1382+37532639862*p^107*q^1384+401045151114*p^105*q^1386+ 3573981225062*p^103*q^1388+20823499159984*p^101*q^1390+47817588964867*p^99*q^ 1392+31183165975522*p^97*q^1394+7159648195441*p^95*q^1396+963143097976*p^93*q^ 1398+101904691494*p^91*q^1400+9266841998*p^89*q^1402+732530278*p^87*q^1404+ 43511420*p^85*q^1406+2499358*p^83*q^1408+56582*p^81*q^1410+264*p^79*q^1412+128* p^77*q^1414+1376*p^118*q^1372+399902*p^116*q^1374+1734650*p^114*q^1376+68481410 *p^112*q^1378+783392846*p^110*q^1380+10336720852*p^108*q^1382+117795227110*p^ 106*q^1384+1172509237202*p^104*q^1386+8962985834819*p^102*q^1388+35960531296396 *p^100*q^1390+45748952435691*p^98*q^1392+17163677039740*p^96*q^1394+ 2881320604078*p^94*q^1396+339233240254*p^92*q^1398+33176330005*p^90*q^1400+ 2745024086*p^88*q^1402+217290300*p^86*q^1404+9652252*p^84*q^1406+510710*p^82*q^ 1408+1372*p^80*q^1410+17888*p^117*q^1372+1261298*p^115*q^1374+11914751*p^113*q^ 1376+213547136*p^111*q^1378+2780437165*p^109*q^1380+33308998600*p^107*q^1382+ 358473860768*p^105*q^1384+3245823785398*p^103*q^1386+19461971363400*p^101*q^ 1388+47657594252062*p^99*q^1390+32898116742923*p^97*q^1392+7893267514492*p^95*q ^1394+1074182941624*p^93*q^1396+114916268142*p^91*q^1398+10505133081*p^89*q^ 1400+817448314*p^87*q^1402+53238258*p^85*q^1404+3074560*p^83*q^1406+60744*p^81* q^1408+26*p^77*q^1412+34*p^122*q^1366+724*p^118*q^1370+235876*p^116*q^1372+ 1987218*p^114*q^1374+56954396*p^112*q^1376+683283990*p^110*q^1378+9122826610*p^ 108*q^1380+104949002514*p^106*q^1382+1050307348284*p^104*q^1384+8241459276000*p ^102*q^1386+34471991192011*p^100*q^1388+47085155863082*p^98*q^1390+ 18516128243764*p^96*q^1392+3204259139434*p^94*q^1394+379357010692*p^92*q^1396+ 37356475580*p^90*q^1398+3118139626*p^88*q^1400+249888892*p^86*q^1402+10697920*p ^84*q^1404+609534*p^82*q^1406+5550*p^80*q^1408+16*p^78*q^1410+8*p^76*q^1412+ 10200*p^117*q^1370+1314912*p^115*q^1372+8285546*p^113*q^1374+195789896*p^111*q^ 1376+2427385574*p^109*q^1378+29465102742*p^107*q^1380+320517466300*p^105*q^1382 +2933536481519*p^103*q^1384+18248368973696*p^101*q^1386+47098202435506*p^99*q^ 1388+34811143700776*p^97*q^1390+8640967775806*p^95*q^1392+1199730861408*p^93*q^ 1394+128667635841*p^91*q^1396+11826643836*p^89*q^1398+907154414*p^87*q^1400+ 62358952*p^85*q^1402+3064504*p^83*q^1404+77714*p^81*q^1406+36*p^79*q^1408+80*p^ 118*q^1368+147924*p^116*q^1370+2347852*p^114*q^1372+48291762*p^112*q^1374+ 606963142*p^110*q^1376+8126682344*p^108*q^1378+93360734736*p^106*q^1380+ 946153420338*p^104*q^1382+7539364504637*p^102*q^1384+33128564962822*p^100*q^ 1386+47979812532110*p^98*q^1388+20031615495642*p^96*q^1390+3545131957440*p^94*q ^1392+425631806446*p^92*q^1394+42085362152*p^90*q^1396+3587432250*p^88*q^1398+ 280425388*p^86*q^1400+13633292*p^84*q^1402+841908*p^82*q^1404+11104*p^80*q^1406 +2*p^76*q^1410+242*p^121*q^1364+8712*p^117*q^1368+1075010*p^115*q^1370+7211000* p^113*q^1372+176975692*p^111*q^1374+2126486234*p^109*q^1376+26185906516*p^107*q ^1378+285846869998*p^105*q^1380+2658362006004*p^103*q^1382+16976098005010*p^101 *q^1384+46615434904158*p^99*q^1386+36528216315984*p^97*q^1388+9504618659176*p^ 95*q^1390+1336549421437*p^93*q^1392+144995960814*p^91*q^1394+13366524762*p^89*q ^1396+1020096594*p^87*q^1398+78158102*p^85*q^1400+3015698*p^83*q^1402+119418*p^ 81*q^1404+220*p^79*q^1406+28*p^118*q^1366+83224*p^116*q^1368+2945248*p^114*q^ 1370+37132526*p^112*q^1372+542849618*p^110*q^1374+7164263241*p^108*q^1376+ 82978516150*p^106*q^1378+846956324059*p^104*q^1380+6909154159092*p^102*q^1382+ 31577580496976*p^100*q^1384+49037690900844*p^98*q^1386+21524241315145*p^96*q^ 1388+3936889417932*p^94*q^1390+475600510405*p^92*q^1392+47426117920*p^90*q^1394 +4062251518*p^88*q^1396+312122608*p^86*q^1398+15543584*p^84*q^1400+986204*p^82* q^1402+8676*p^80*q^1404+62*p^121*q^1362+4*p^119*q^1364+3188*p^117*q^1366+779826 *p^115*q^1368+5876788*p^113*q^1370+156758296*p^111*q^1372+1854924204*p^109*q^ 1374+23147116863*p^107*q^1376+255610691530*p^105*q^1378+2396473488226*p^103*q^ 1380+15844639722002*p^101*q^1382+45769602640859*p^99*q^1384+38429006489060*p^97 *q^1386+10378867974793*p^95*q^1388+1491288900804*p^93*q^1390+162404071903*p^91* q^1392+15021254604*p^89*q^1394+1156834064*p^87*q^1396+90112992*p^85*q^1398+ 3285760*p^83*q^1400+166010*p^81*q^1402+1312*p^79*q^1404+936*p^120*q^1362+59276* p^116*q^1366+3138524*p^114*q^1368+30425842*p^112*q^1370+493865214*p^110*q^1372+ 6347704440*p^108*q^1374+73793758093*p^106*q^1376+761579314912*p^104*q^1378+ 6299615927269*p^102*q^1380+30173577342768*p^100*q^1382+49651777101416*p^98*q^ 1384+23185168150248*p^96*q^1386+4347906374468*p^94*q^1388+533718344614*p^92*q^ 1390+53377858356*p^90*q^1392+4638619720*p^88*q^1394+343713986*p^86*q^1396+ 20745512*p^84*q^1398+1000190*p^82*q^1400+17206*p^80*q^1402+1164*p^117*q^1364+ 545112*p^115*q^1366+6116786*p^113*q^1368+134964776*p^111*q^1370+1623967532*p^ 109*q^1372+20592799854*p^107*q^1374+227711638633*p^105*q^1376+2168237619278*p^ 103*q^1378+14670068983121*p^101*q^1380+45002767542926*p^99*q^1382+ 40101763994061*p^97*q^1384+11380071391658*p^95*q^1386+1660480197658*p^93*q^1388 +182664211612*p^91*q^1390+16975371917*p^89*q^1392+1330894426*p^87*q^1394+ 105775570*p^85*q^1396+3558048*p^83*q^1398+260274*p^81*q^1400+1088*p^79*q^1402+ 858*p^120*q^1360+132*p^118*q^1362+41684*p^116*q^1364+2783020*p^114*q^1366+ 24245312*p^112*q^1368+447499072*p^110*q^1370+5583292800*p^108*q^1372+ 65540648176*p^106*q^1374+680789833516*p^104*q^1376+5756773851192*p^102*q^1378+ 28584883287408*p^100*q^1380+50416603448296*p^98*q^1382+24804549907895*p^96*q^ 1384+4821038004864*p^94*q^1386+595676166367*p^92*q^1388+60236872604*p^90*q^1390 +5236795842*p^88*q^1392+377013746*p^86*q^1394+25509028*p^84*q^1396+990068*p^82* q^1398+22020*p^80*q^1400+64*p^78*q^1402+2134*p^119*q^1360+160*p^117*q^1362+ 333354*p^115*q^1364+6908052*p^113*q^1366+111706584*p^111*q^1368+1427316890*p^ 109*q^1370+18197575396*p^107*q^1372+203280367690*p^105*q^1374+1951228559238*p^ 103*q^1376+13633549480826*p^101*q^1378+43876213251020*p^99*q^1380+ 41949119850450*p^97*q^1382+12395012174247*p^95*q^1384+1850736852334*p^93*q^1386 +204537928302*p^91*q^1388+19078441748*p^89*q^1390+1516860224*p^87*q^1392+ 118178032*p^85*q^1394+4469838*p^83*q^1396+282358*p^81*q^1398+1524*p^79*q^1400+ 52*p^120*q^1358+16*p^118*q^1360+18776*p^116*q^1362+2365242*p^114*q^1364+ 19283206*p^112*q^1366+405642079*p^110*q^1368+4924394650*p^108*q^1370+ 58181658559*p^106*q^1372+611387021286*p^104*q^1374+5234443804019*p^102*q^1376+ 27169128205104*p^100*q^1378+50693257822973*p^98*q^1380+26603379800918*p^96*q^ 1382+5313809241211*p^94*q^1384+667749615742*p^92*q^1386+67748175452*p^90*q^1388 +5938524796*p^88*q^1390+423343718*p^86*q^1392+31604876*p^84*q^1394+850570*p^82* q^1396+50928*p^80*q^1398+136*p^78*q^1400+4862*p^119*q^1358+1320*p^117*q^1360+ 283772*p^115*q^1362+7222837*p^113*q^1364+95839994*p^111*q^1366+1274749110*p^109 *q^1368+16202479290*p^107*q^1370+181153518380*p^105*q^1372+1762168390690*p^103* q^1374+12573301870519*p^101*q^1376+42867110616634*p^99*q^1378+43488564963171*p^ 97*q^1380+13551283371410*p^95*q^1382+2058608845683*p^93*q^1384+230177849246*p^ 91*q^1386+21581393305*p^89*q^1388+1753763868*p^87*q^1390+132132615*p^85*q^1392+ 6283352*p^83*q^1394+356616*p^81*q^1396+1864*p^79*q^1398+52*p^120*q^1356+2904*p^ 118*q^1358+6560*p^116*q^1360+1645192*p^114*q^1362+17728464*p^112*q^1364+ 353506938*p^110*q^1366+4298626649*p^108*q^1368+51604970264*p^106*q^1370+ 545559764390*p^104*q^1372+4766636408782*p^102*q^1374+25600233713742*p^100*q^ 1376+51132560692320*p^98*q^1378+28326250309149*p^96*q^1380+5881461361692*p^94*q ^1382+745253682640*p^92*q^1384+76290054378*p^90*q^1386+6672853971*p^88*q^1388+ 476598300*p^86*q^1390+37313522*p^84*q^1392+813662*p^82*q^1394+58586*p^80*q^1396 +64*p^78*q^1398+1328*p^119*q^1356+600*p^117*q^1358+176686*p^115*q^1360+7072584* p^113*q^1362+75750202*p^111*q^1364+1142396478*p^109*q^1366+14303480902*p^107*q^ 1368+161602111052*p^105*q^1370+1583475816741*p^103*q^1372+11636975859986*p^101* q^1374+41534022436269*p^99*q^1376+45232518647504*p^97*q^1378+14702090012218*p^ 95*q^1380+2292988385192*p^93*q^1382+257337254789*p^91*q^1384+24300795594*p^89*q ^1386+1991412862*p^87*q^1388+141439958*p^85*q^1390+7884795*p^83*q^1392+274006*p ^81*q^1394+6864*p^79*q^1396+8*p^77*q^1398+14584*p^118*q^1356+7516*p^116*q^1358+ 1326438*p^114*q^1360+17316576*p^112*q^1362+315171782*p^110*q^1364+3791687602*p^ 108*q^1366+45885382354*p^106*q^1368+489449245432*p^104*q^1370+4324040438540*p^ 102*q^1372+24186845670240*p^100*q^1374+51077989720029*p^98*q^1376+ 30233424936106*p^96*q^1378+6471258940640*p^94*q^1380+834648129732*p^92*q^1382+ 85863833812*p^90*q^1384+7571230864*p^88*q^1386+549579708*p^86*q^1388+44717106*p ^84*q^1390+1288420*p^82*q^1392+94894*p^80*q^1394+84*p^78*q^1396+784*p^119*q^ 1354+2320*p^117*q^1356+90880*p^115*q^1358+6078744*p^113*q^1360+63439042*p^111*q ^1362+1018883363*p^109*q^1364+12684422822*p^107*q^1366+143603237997*p^105*q^ 1368+1427435024130*p^103*q^1370+10690843091956*p^101*q^1372+40308871889658*p^99 *q^1374+46610377568290*p^97*q^1376+16026606115994*p^95*q^1378+2545431189791*p^ 93*q^1380+289530251970*p^91*q^1382+27470863386*p^89*q^1384+2271746492*p^87*q^ 1386+155322208*p^85*q^1388+10200168*p^83*q^1390+169726*p^81*q^1392+9716*p^79*q^ 1394+10652*p^118*q^1354+7720*p^116*q^1356+1052152*p^114*q^1358+17540312*p^112*q ^1360+267359016*p^110*q^1362+3341984963*p^108*q^1364+40691667944*p^106*q^1366+ 436686638441*p^104*q^1368+3929157612748*p^102*q^1370+22676483278770*p^100*q^ 1372+51145679652416*p^98*q^1374+32034721733195*p^96*q^1376+7145707973134*p^94*q ^1378+931028543331*p^92*q^1380+96558438644*p^90*q^1382+8500386164*p^88*q^1384+ 633115724*p^86*q^1386+50071988*p^84*q^1388+1654028*p^82*q^1390+105872*p^80*q^ 1392+536*p^78*q^1394+122*p^119*q^1352+25018*p^117*q^1354+49022*p^115*q^1356+ 4949806*p^113*q^1358+52738527*p^111*q^1360+917760328*p^109*q^1362+11148881283*p ^107*q^1364+128004993580*p^105*q^1366+1280113560046*p^103*q^1368+9855408434884* p^101*q^1370+38813582445957*p^99*q^1372+48161842815286*p^97*q^1374+ 17332590104643*p^95*q^1376+2833546352274*p^93*q^1378+323695295507*p^91*q^1380+ 31028621816*p^89*q^1382+2576441590*p^87*q^1384+170315438*p^85*q^1386+12475424*p ^83*q^1388+208370*p^81*q^1390+14244*p^79*q^1392+5872*p^118*q^1352+2960*p^116*q^ 1354+691202*p^114*q^1356+16947742*p^112*q^1358+228222158*p^110*q^1360+ 2949620296*p^108*q^1362+36146013627*p^106*q^1364+391222630256*p^104*q^1366+ 3554926531459*p^102*q^1368+21325104039914*p^100*q^1370+50753412535447*p^98*q^ 1372+34008061689924*p^96*q^1374+7843239319552*p^94*q^1376+1041510867036*p^92*q^ 1378+108402111699*p^90*q^1380+9580574694*p^88*q^1382+727381478*p^86*q^1384+ 54289980*p^84*q^1386+2399448*p^82*q^1388+55988*p^80*q^1390+1420*p^78*q^1392+ 40692*p^117*q^1352+54736*p^115*q^1354+4339460*p^113*q^1356+48763158*p^111*q^ 1358+817169827*p^109*q^1360+9903388432*p^107*q^1362+113780896289*p^105*q^1364+ 1152360293122*p^103*q^1366+9021506012479*p^101*q^1368+37432744225326*p^99*q^ 1370+49318384719265*p^97*q^1372+18816244830460*p^95*q^1374+3142616379097*p^93*q ^1376+364132773430*p^91*q^1378+35089936804*p^89*q^1380+2952104046*p^87*q^1382+ 194832000*p^85*q^1384+16252726*p^83*q^1386+294474*p^81*q^1388+30952*p^79*q^1390 +16*p^77*q^1392+2650*p^118*q^1350+25708*p^116*q^1352+399506*p^114*q^1354+ 15113274*p^112*q^1356+188578148*p^110*q^1358+2612929360*p^108*q^1360+ 31998164062*p^106*q^1362+348408091721*p^104*q^1364+3222823817386*p^102*q^1366+ 19884515104787*p^100*q^1368+50495371555176*p^98*q^1370+35844587582018*p^96*q^ 1372+8642402847168*p^94*q^1374+1160920161437*p^92*q^1376+121869553844*p^90*q^ 1378+10813323067*p^88*q^1380+828950158*p^86*q^1382+57857436*p^84*q^1384+2831540 *p^82*q^1386+36360*p^80*q^1388+992*p^78*q^1390+48*p^119*q^1348+28876*p^117*q^ 1350+28600*p^115*q^1352+3437582*p^113*q^1354+45067074*p^111*q^1356+719107480*p^ 109*q^1358+8693507151*p^107*q^1360+101332295840*p^105*q^1362+1032301303691*p^ 103*q^1364+8288103210546*p^101*q^1366+35816123040034*p^99*q^1368+50634068000274 *p^97*q^1370+20273793617221*p^95*q^1372+3491319472610*p^93*q^1374+406696648006* p^91*q^1376+39545647556*p^89*q^1378+3289503882*p^87*q^1380+220858120*p^85*q^ 1382+18508070*p^83*q^1384+463036*p^81*q^1386+20612*p^79*q^1388+152*p^77*q^1390+ 180*p^118*q^1348+85022*p^116*q^1350+305238*p^114*q^1352+13806702*p^112*q^1354+ 160567769*p^110*q^1356+2344582260*p^108*q^1358+28396989408*p^106*q^1360+ 311921343054*p^104*q^1362+2909710965611*p^102*q^1364+18610773478728*p^100*q^ 1366+49754145388571*p^98*q^1368+37861925924890*p^96*q^1370+9462324706506*p^94*q ^1372+1298397682866*p^92*q^1374+137012975100*p^90*q^1376+12268198986*p^88*q^ 1378+973731857*p^86*q^1380+63198582*p^84*q^1382+4094756*p^82*q^1384+42500*p^80* q^1386+5302*p^78*q^1388+21786*p^117*q^1348+29736*p^115*q^1350+2473732*p^113*q^ 1352+41533872*p^111*q^1354+628113435*p^109*q^1356+7673048142*p^107*q^1358+ 89981488468*p^105*q^1360+927842296880*p^103*q^1362+7561905814070*p^101*q^1364+ 34341077265686*p^99*q^1366+51492758923700*p^97*q^1368+21923434558688*p^95*q^ 1370+3865757265715*p^93*q^1372+456896801042*p^91*q^1374+44516535582*p^89*q^1376 +3719688098*p^87*q^1378+249764462*p^85*q^1380+20720754*p^83*q^1382+604022*p^81* q^1384+11748*p^79*q^1386+24*p^77*q^1388+820*p^118*q^1346+92860*p^116*q^1348+ 226296*p^114*q^1350+12257732*p^112*q^1352+140586022*p^110*q^1354+2078663218*p^ 108*q^1356+25185762422*p^106*q^1358+277650518535*p^104*q^1360+2631699513650*p^ 102*q^1362+17276641223721*p^100*q^1364+49166225709732*p^98*q^1366+ 39673867342895*p^96*q^1368+10401216827270*p^94*q^1370+1445960061326*p^92*q^1372 +154071719800*p^90*q^1374+13908120226*p^88*q^1376+1111420764*p^86*q^1378+ 69697990*p^84*q^1380+5407198*p^82*q^1382+64890*p^80*q^1384+5948*p^78*q^1386+8*p ^76*q^1388+5014*p^117*q^1346+107692*p^115*q^1348+1666262*p^113*q^1350+38074384* p^111*q^1352+531872186*p^109*q^1354+6765448789*p^107*q^1356+79926903410*p^105*q ^1358+829675658342*p^103*q^1360+6923160726352*p^101*q^1362+32663418472705*p^99* q^1364+52535212884600*p^97*q^1366+23516811121663*p^95*q^1368+4290142826542*p^93 *q^1370+510285220004*p^91*q^1372+50109137854*p^89*q^1374+4158890313*p^87*q^1376 +291114460*p^85*q^1378+21878550*p^83*q^1380+736560*p^81*q^1382+5838*p^79*q^1384 +428*p^77*q^1386+88*p^118*q^1344+96674*p^116*q^1346+149680*p^114*q^1348+ 10480740*p^112*q^1350+123726298*p^110*q^1352+1871078172*p^108*q^1354+ 22293627461*p^106*q^1356+248435303534*p^104*q^1358+2372766418714*p^102*q^1360+ 16092591262028*p^100*q^1362+48135522419809*p^98*q^1364+41666721491218*p^96*q^ 1366+11354852708816*p^94*q^1368+1615322485158*p^92*q^1370+172841442172*p^90*q^ 1372+15784375704*p^88*q^1374+1263965693*p^86*q^1376+75093964*p^84*q^1378+ 6759842*p^82*q^1380+128934*p^80*q^1382+3716*p^78*q^1384+6314*p^117*q^1344+ 189524*p^115*q^1346+1296322*p^113*q^1348+35513080*p^111*q^1350+463919282*p^109* q^1352+5995547626*p^107*q^1354+71020063524*p^105*q^1356+744766497448*p^103*q^ 1358+6297968195449*p^101*q^1360+31124809798086*p^99*q^1362+53070359773865*p^97* q^1364+25327596357000*p^95*q^1366+4741165669351*p^93*q^1368+573123046494*p^91*q ^1370+56539481986*p^89*q^1372+4728860626*p^87*q^1374+347212812*p^85*q^1376+ 25081004*p^83*q^1378+1217752*p^81*q^1380+5504*p^79*q^1382+1184*p^77*q^1384+ 47234*p^116*q^1344+155804*p^114*q^1346+7947290*p^112*q^1348+108758090*p^110*q^ 1350+1631556282*p^108*q^1352+19698896612*p^106*q^1354+220631946764*p^104*q^1356 +2141251930480*p^102*q^1358+14875283316039*p^100*q^1360+47237258594596*p^98*q^ 1362+43414367015961*p^96*q^1364+12446301817930*p^94*q^1366+1796885910543*p^92*q ^1368+194317984286*p^90*q^1370+17762500282*p^88*q^1372+1415594618*p^86*q^1374+ 82241310*p^84*q^1376+7235082*p^82*q^1378+103918*p^80*q^1380+1620*p^78*q^1382+8* p^76*q^1384+2396*p^117*q^1342+260994*p^115*q^1344+932070*p^113*q^1346+32674366* p^111*q^1348+399616310*p^109*q^1350+5332251385*p^107*q^1352+63133666006*p^105*q ^1354+665804771182*p^103*q^1356+5749565572114*p^101*q^1358+29448137862155*p^99* q^1360+53759183470742*p^97*q^1362+27048902085386*p^95*q^1364+5252453704886*p^93 *q^1366+639809390494*p^91*q^1368+63561878820*p^89*q^1370+5358328353*p^87*q^1372 +405685528*p^85*q^1374+25549868*p^83*q^1376+1773920*p^81*q^1378+21914*p^79*q^ 1380+716*p^77*q^1382+32934*p^116*q^1342+272978*p^114*q^1344+6090354*p^112*q^ 1346+98872092*p^110*q^1348+1440493970*p^108*q^1350+17395395032*p^106*q^1352+ 197189482562*p^104*q^1354+1925347095724*p^102*q^1356+13797100718490*p^100*q^ 1358+45945408726559*p^98*q^1360+45320643080794*p^96*q^1362+13546921072711*p^94* q^1364+2006492221004*p^92*q^1366+217970337608*p^90*q^1368+20164113106*p^88*q^ 1370+1589866370*p^86*q^1372+96798010*p^84*q^1374+8824344*p^82*q^1376+194072*p^ 80*q^1378+208*p^78*q^1380+144*p^76*q^1382+306*p^117*q^1340+223712*p^115*q^1342+ 698834*p^113*q^1344+28970850*p^111*q^1346+346835020*p^109*q^1348+4748003584*p^ 107*q^1350+56065643629*p^105*q^1352+596814194750*p^103*q^1354+5217234456549*p^ 101*q^1356+27906836570022*p^99*q^1358+53963731110995*p^97*q^1360+28983043039546 *p^95*q^1362+5793940762691*p^93*q^1364+717454468032*p^91*q^1366+71560390805*p^ 89*q^1368+6087469600*p^87*q^1370+470484811*p^85*q^1372+26071102*p^83*q^1374+ 2156560*p^81*q^1376+18134*p^79*q^1378+544*p^77*q^1380+44*p^118*q^1338+24662*p^ 116*q^1340+463380*p^114*q^1342+4704604*p^112*q^1344+90177294*p^110*q^1346+ 1254647032*p^108*q^1348+15393602644*p^106*q^1350+175008707040*p^104*q^1352+ 1735626407608*p^102*q^1354+12694281241065*p^100*q^1356+44797369933248*p^98*q^ 1358+46930211242686*p^96*q^1360+14802363334666*p^94*q^1362+2229660559692*p^92*q ^1364+245213601244*p^90*q^1366+22742471329*p^88*q^1368+1792503008*p^86*q^1370+ 115402097*p^84*q^1372+9924394*p^82*q^1374+335826*p^80*q^1376+2176*p^78*q^1378+ 76*p^76*q^1380+248*p^117*q^1338+141592*p^115*q^1340+559068*p^113*q^1342+ 23677438*p^111*q^1344+299752368*p^109*q^1346+4195360861*p^107*q^1348+ 49689947368*p^105*q^1350+532663438927*p^103*q^1352+4748661269066*p^101*q^1354+ 26251654796933*p^99*q^1356+54303405031558*p^97*q^1358+30820310587094*p^95*q^ 1360+6405751035752*p^93*q^1362+800397663443*p^91*q^1364+80439445956*p^89*q^1366 +6884161367*p^87*q^1368+527834844*p^85*q^1370+26870022*p^83*q^1372+2489008*p^81 *q^1374+19252*p^79*q^1376+8*p^75*q^1380+6054*p^116*q^1338+618604*p^114*q^1340+ 3670686*p^112*q^1342+84024436*p^110*q^1344+1101445130*p^108*q^1346+13638801496* p^106*q^1348+156358133086*p^104*q^1350+1558917973529*p^102*q^1352+ 11732781005088*p^100*q^1354+43278370233583*p^98*q^1356+48694413951556*p^96*q^ 1358+16053707950014*p^94*q^1360+2485497710942*p^92*q^1362+274845072779*p^90*q^ 1364+25697236136*p^88*q^1366+2022121964*p^86*q^1368+142546822*p^84*q^1370+ 9993250*p^82*q^1372+541914*p^80*q^1374+3924*p^78*q^1376+104*p^76*q^1378+628*p^ 117*q^1336+137120*p^115*q^1338+739736*p^113*q^1340+19498466*p^111*q^1342+ 265938478*p^109*q^1344+3731349826*p^107*q^1346+44074906508*p^105*q^1348+ 477019419808*p^103*q^1350+4297141448560*p^101*q^1352+24749570693176*p^99*q^1354 +54110899522574*p^97*q^1356+32868549797570*p^95*q^1358+7053994181614*p^93*q^ 1360+897937588348*p^91*q^1362+90621448692*p^89*q^1364+7881681136*p^87*q^1366+ 606185534*p^85*q^1368+29656626*p^83*q^1370+3494818*p^81*q^1372+43304*p^79*q^ 1374+80*p^77*q^1376+4*p^75*q^1378+4608*p^116*q^1336+483382*p^114*q^1338+2602606 *p^112*q^1340+75298150*p^110*q^1342+950571988*p^108*q^1344+12065679310*p^106*q^ 1346+138658738600*p^104*q^1348+1401826505342*p^102*q^1350+10758274322450*p^100* q^1352+41934563241248*p^98*q^1354+50095806539734*p^96*q^1356+17482014457842*p^ 94*q^1358+2758236636372*p^92*q^1360+308440006324*p^90*q^1362+28863985573*p^88*q ^1364+2273032406*p^86*q^1366+163155930*p^84*q^1368+9722060*p^82*q^1370+575672*p ^80*q^1372+868*p^78*q^1374+92*p^117*q^1334+59098*p^115*q^1336+1145412*p^113*q^ 1338+15711198*p^111*q^1340+235302612*p^109*q^1342+3283462791*p^107*q^1344+ 39087745398*p^105*q^1346+425144911824*p^103*q^1348+3902162077124*p^101*q^1350+ 23160843352003*p^99*q^1352+54095392792556*p^97*q^1354+34753040499677*p^95*q^ 1356+7783773464436*p^93*q^1358+1001143918354*p^91*q^1360+102043906174*p^89*q^ 1362+8917457142*p^87*q^1364+675821074*p^85*q^1366+37106068*p^83*q^1368+3785734* p^81*q^1370+94634*p^79*q^1372+592*p^77*q^1374+8*p^75*q^1376+4198*p^116*q^1334+ 493942*p^114*q^1336+2138884*p^112*q^1338+66198382*p^110*q^1340+833871056*p^108* q^1342+10726861951*p^106*q^1344+123670177558*p^104*q^1346+1257786880092*p^102*q ^1348+9900311071590*p^100*q^1350+40274473434203*p^98*q^1352+51658493708704*p^96 *q^1354+18890149642725*p^94*q^1356+3071838807858*p^92*q^1358+345600504941*p^90* q^1360+32607272108*p^88*q^1362+2595419549*p^86*q^1364+194446550*p^84*q^1366+ 8697378*p^82*q^1368+916380*p^80*q^1370+3780*p^78*q^1372+41088*p^115*q^1334+ 1223052*p^113*q^1336+12440004*p^111*q^1338+214988010*p^109*q^1340+2901471916*p^ 107*q^1342+34588043514*p^105*q^1344+380516275340*p^103*q^1346+3523148743241*p^ 101*q^1348+21720971200094*p^99*q^1350+53543197829007*p^97*q^1352+36875252879812 *p^95*q^1354+8545944961625*p^93*q^1356+1121620984978*p^91*q^1358+114862873663*p ^89*q^1360+10131488894*p^87*q^1362+754779728*p^85*q^1364+45204928*p^83*q^1366+ 4267266*p^81*q^1368+128616*p^79*q^1370+2532*p^116*q^1332+336476*p^114*q^1334+ 2263430*p^112*q^1336+56324698*p^110*q^1338+721359694*p^108*q^1340+9491473108*p^ 106*q^1342+109689092127*p^104*q^1344+1129441814820*p^102*q^1346+9047273898794*p ^100*q^1348+38761143044684*p^98*q^1350+52813340548979*p^96*q^1352+ 20496892941338*p^94*q^1354+3404015058742*p^92*q^1356+388175405158*p^90*q^1358+ 36652463083*p^88*q^1360+2961416074*p^86*q^1362+224423664*p^84*q^1364+9082566*p^ 82*q^1366+1154166*p^80*q^1368+9064*p^78*q^1370+40*p^76*q^1372+24908*p^115*q^ 1332+1293114*p^113*q^1334+9357644*p^111*q^1336+193830042*p^109*q^1338+ 2540343005*p^107*q^1340+30670634932*p^105*q^1342+338674960004*p^103*q^1344+ 3191559575978*p^101*q^1346+20231931717434*p^99*q^1348+53147593271138*p^97*q^ 1350+38789281084130*p^95*q^1352+9408493925920*p^93*q^1354+1249538981702*p^91*q^ 1356+129107153520*p^89*q^1358+11414344412*p^87*q^1360+840636908*p^85*q^1362+ 53836730*p^83*q^1364+3679316*p^81*q^1366+168342*p^79*q^1368+172*p^77*q^1370+364 *p^116*q^1330+228314*p^114*q^1332+2551862*p^112*q^1334+47843146*p^110*q^1336+ 634633574*p^108*q^1338+8427023194*p^106*q^1340+97751496036*p^104*q^1342+ 1011693269645*p^102*q^1344+8300337534914*p^100*q^1346+37004173097733*p^98*q^ 1348+54085683489454*p^96*q^1350+22062027025784*p^94*q^1352+3786377630486*p^92*q ^1354+434426219376*p^90*q^1356+41442337480*p^88*q^1358+3395377816*p^86*q^1360+ 253924384*p^84*q^1362+11059278*p^82*q^1364+1581140*p^80*q^1366+24428*p^78*q^ 1368+23200*p^115*q^1330+1218246*p^113*q^1332+7909788*p^111*q^1334+174318138*p^ 109*q^1336+2240768778*p^107*q^1338+27184569758*p^105*q^1340+302645235004*p^103* q^1342+2876208515241*p^101*q^1344+18884678447392*p^99*q^1346+52259693746044*p^ 97*q^1348+40915654226880*p^95*q^1350+10304622946046*p^93*q^1352+1398591896222*p ^91*q^1354+145245449109*p^89*q^1356+12934615474*p^87*q^1358+951014392*p^85*q^ 1360+68101004*p^83*q^1362+3147008*p^81*q^1364+262404*p^79*q^1366+354*p^77*q^ 1368+164*p^116*q^1328+156208*p^114*q^1330+2801294*p^112*q^1332+38389448*p^110*q ^1334+560667214*p^108*q^1336+7445925976*p^106*q^1338+86540502625*p^104*q^1340+ 907576890050*p^102*q^1342+7556982578589*p^100*q^1344+35407024368978*p^98*q^1346 +54931893152137*p^96*q^1348+23835439498346*p^94*q^1350+4190639504419*p^92*q^ 1352+487684865390*p^90*q^1354+46643492350*p^88*q^1356+3865841648*p^86*q^1358+ 282270454*p^84*q^1360+12696080*p^82*q^1362+1678824*p^80*q^1364+25154*p^78*q^ 1366+44*p^117*q^1326+8658*p^115*q^1328+900668*p^113*q^1330+6753304*p^111*q^1332 +153579570*p^109*q^1334+1946692838*p^107*q^1336+24093582944*p^105*q^1338+ 269218977255*p^103*q^1340+2599641587712*p^101*q^1342+17505894324378*p^99*q^1344 +51535182454516*p^97*q^1346+42801138868474*p^95*q^1348+11312869175048*p^93*q^ 1350+1556119985147*p^91*q^1352+163255816678*p^89*q^1354+14514916885*p^87*q^1356 +1077207610*p^85*q^1358+79249964*p^83*q^1360+2878706*p^81*q^1362+405446*p^79*q^ 1364+2664*p^77*q^1366+122822*p^114*q^1328+3145346*p^112*q^1330+31767738*p^110*q ^1332+504384752*p^108*q^1334+6601437670*p^106*q^1336+77113847526*p^104*q^1338+ 811899078618*p^102*q^1340+6912498493786*p^100*q^1342+33595670645072*p^98*q^1344 +55890973243588*p^96*q^1346+25547083177968*p^94*q^1348+4651827208808*p^92*q^ 1350+546044766219*p^90*q^1352+52700711024*p^88*q^1354+4417609708*p^86*q^1356+ 314144000*p^84*q^1358+17260828*p^82*q^1360+1501496*p^80*q^1362+42984*p^78*q^ 1364+3480*p^115*q^1326+760784*p^113*q^1328+6566548*p^111*q^1330+133469114*p^109 *q^1332+1708044678*p^107*q^1334+21356074240*p^105*q^1336+240413592410*p^103*q^ 1338+2338104941027*p^101*q^1340+16269015524142*p^99*q^1342+50317020343625*p^97* q^1344+44898318270344*p^95*q^1346+12353628843019*p^93*q^1348+1741193905270*p^91 *q^1350+183329723556*p^89*q^1352+16453569734*p^87*q^1354+1242612893*p^85*q^1356 +93510322*p^83*q^1358+2783740*p^81*q^1360+612220*p^79*q^1362+4274*p^77*q^1364+ 636*p^116*q^1324+86240*p^114*q^1326+2714156*p^112*q^1328+25771166*p^110*q^1330+ 449853514*p^108*q^1332+5822604278*p^106*q^1334+68246985987*p^104*q^1336+ 727078631628*p^102*q^1338+6276508489082*p^100*q^1340+31962620522116*p^98*q^1342 +56369719608569*p^96*q^1344+27480576186636*p^94*q^1346+5140169339496*p^92*q^ 1348+611995065754*p^90*q^1350+59356187080*p^88*q^1352+4996835368*p^86*q^1354+ 343332488*p^84*q^1356+21428474*p^82*q^1358+1305188*p^80*q^1360+64586*p^78*q^ 1362+96*p^76*q^1364+858*p^115*q^1324+519858*p^113*q^1326+7119319*p^111*q^1328+ 112349238*p^109*q^1330+1492031184*p^107*q^1332+18934663856*p^105*q^1334+ 213557463840*p^103*q^1336+2109498759360*p^101*q^1338+15015919213607*p^99*q^1340 +49296852751248*p^97*q^1342+46672721008358*p^95*q^1344+13527594950930*p^93*q^ 1346+1935154831818*p^91*q^1348+206122047462*p^89*q^1350+18478342867*p^87*q^1352 +1423347350*p^85*q^1354+105794793*p^83*q^1356+3507308*p^81*q^1358+594410*p^79*q ^1360+4474*p^77*q^1362+76*p^116*q^1322+39356*p^114*q^1324+2585714*p^112*q^1326+ 21250280*p^110*q^1328+404167704*p^108*q^1330+5139515003*p^106*q^1332+ 60708432230*p^104*q^1334+649879041346*p^102*q^1336+5723066986700*p^100*q^1338+ 30163042173048*p^98*q^1340+56978109847182*p^96*q^1342+29313002247808*p^94*q^ 1344+5695913939582*p^92*q^1346+684624180892*p^90*q^1348+67035846340*p^88*q^1350 +5665457692*p^86*q^1352+387100072*p^84*q^1354+26924344*p^82*q^1356+836716*p^80* q^1358+161352*p^78*q^1360+640*p^76*q^1362+4080*p^115*q^1322+478666*p^113*q^1324 +6963690*p^111*q^1326+96597146*p^109*q^1328+1326396944*p^107*q^1330+16788022265 *p^105*q^1332+190673620862*p^103*q^1334+1894508655579*p^101*q^1336+ 13892793958152*p^99*q^1338+47823388926161*p^97*q^1340+48665084705094*p^95*q^ 1342+14721421458749*p^93*q^1344+2162910142558*p^91*q^1346+231445792255*p^89*q^ 1348+20958316584*p^87*q^1350+1647410728*p^85*q^1352+118029198*p^83*q^1354+ 4891712*p^81*q^1356+698624*p^79*q^1358+5832*p^77*q^1360+17868*p^114*q^1322+ 1965900*p^112*q^1324+19271114*p^110*q^1326+353056824*p^108*q^1328+4495135796*p^ 106*q^1330+53701291731*p^104*q^1332+580989358194*p^102*q^1334+5182092842319*p^ 100*q^1336+28530287001170*p^98*q^1338+57077307392270*p^96*q^1340+31392041984162 *p^94*q^1342+6279634039924*p^92*q^1344+767398113108*p^90*q^1346+75358634817*p^ 88*q^1348+6384642664*p^86*q^1350+436326842*p^84*q^1352+32448834*p^82*q^1354+ 676758*p^80*q^1356+169266*p^78*q^1358+222*p^76*q^1360+2184*p^115*q^1320+296130* p^113*q^1322+6794406*p^111*q^1324+79011984*p^109*q^1326+1172852045*p^107*q^1328 +14890246814*p^105*q^1330+169280019689*p^103*q^1332+1706357555364*p^101*q^1334+ 12777043604863*p^99*q^1336+46528632619714*p^97*q^1338+50291167690535*p^95*q^ 1340+16065561696768*p^93*q^1342+2402251432795*p^91*q^1344+259879160438*p^89*q^ 1346+23592832869*p^87*q^1348+1880008204*p^85*q^1350+126657432*p^83*q^1352+ 6327610*p^81*q^1354+488062*p^79*q^1356+27678*p^77*q^1358+44*p^75*q^1360+18096*p ^114*q^1320+1787064*p^112*q^1322+18335948*p^110*q^1324+312586276*p^108*q^1326+ 3963415068*p^106*q^1328+47803956960*p^104*q^1330+518558510852*p^102*q^1332+ 4712749806724*p^100*q^1334+26781489173086*p^98*q^1336+57289597914594*p^96*q^ 1338+33317642333236*p^94*q^1340+6948022789410*p^92*q^1342+857130660094*p^90*q^ 1344+85106495280*p^88*q^1346+7221840234*p^86*q^1348+506802048*p^84*q^1350+ 38976692*p^82*q^1352+916852*p^80*q^1354+252036*p^78*q^1356+260*p^76*q^1358+184* p^115*q^1318+170410*p^113*q^1320+6177516*p^111*q^1322+66453913*p^109*q^1324+ 1042632508*p^107*q^1326+13172704439*p^105*q^1328+150820668394*p^103*q^1330+ 1529892581870*p^101*q^1332+11776366694168*p^99*q^1334+44864828620686*p^97*q^ 1336+52087981481268*p^95*q^1338+17427888312250*p^93*q^1340+2680323314018*p^91*q ^1342+291848529904*p^89*q^1344+26761934944*p^87*q^1346+2148758771*p^85*q^1348+ 138631348*p^83*q^1350+8397758*p^81*q^1352+263418*p^79*q^1354+38160*p^77*q^1356+ 4*p^116*q^1316+21806*p^114*q^1318+1479738*p^112*q^1320+17346908*p^110*q^1322+ 269839630*p^108*q^1324+3491332950*p^106*q^1326+42280242060*p^104*q^1328+ 463623911822*p^102*q^1330+4256540300686*p^100*q^1332+25197934598730*p^98*q^1334 +57001568946989*p^96*q^1336+35492699224936*p^94*q^1338+7642055469779*p^92*q^ 1340+960820664984*p^90*q^1342+95557482112*p^88*q^1344+8132839514*p^86*q^1346+ 586694258*p^84*q^1348+44163140*p^82*q^1350+1201020*p^80*q^1352+279520*p^78*q^ 1354+2516*p^76*q^1356+160*p^115*q^1316+96702*p^113*q^1318+5316580*p^111*q^1320+ 56726372*p^109*q^1322+923390418*p^107*q^1324+11616339998*p^105*q^1326+ 133806851053*p^103*q^1328+1375167357482*p^101*q^1330+10784028689233*p^99*q^1332 +43382466672704*p^97*q^1334+53502726333139*p^95*q^1336+18950312338656*p^93*q^ 1338+2973974185288*p^91*q^1340+327540611402*p^89*q^1342+30190935982*p^87*q^1344 +2435885202*p^85*q^1346+151772854*p^83*q^1348+10423182*p^81*q^1350+178562*p^79* q^1352+52170*p^77*q^1354+8*p^116*q^1314+4924*p^114*q^1316+1023000*p^112*q^1318+ 16718366*p^110*q^1320+231273270*p^108*q^1322+3072250396*p^106*q^1324+ 37652056510*p^104*q^1326+413357768951*p^102*q^1328+3863003979980*p^100*q^1330+ 23532859767768*p^98*q^1332+56827262911978*p^96*q^1334+37478168852722*p^94*q^ 1336+8432088739672*p^92*q^1338+1072014921392*p^90*q^1340+107732620744*p^88*q^ 1342+9164626982*p^86*q^1344+680684628*p^84*q^1346+47876262*p^82*q^1348+1828422* p^80*q^1350+179548*p^78*q^1352+7252*p^76*q^1354+104*p^115*q^1314+123074*p^113*q ^1316+5153500*p^111*q^1318+51304958*p^109*q^1320+826294144*p^107*q^1322+ 10295497987*p^105*q^1324+119227744666*p^103*q^1326+1231356322633*p^101*q^1328+ 9906325157052*p^99*q^1330+41541496746898*p^97*q^1332+55068789157446*p^95*q^1334 +20479084363780*p^93*q^1336+3315178655392*p^91*q^1338+367746493605*p^89*q^1340+ 34264309526*p^87*q^1342+2787584860*p^85*q^1344+175429126*p^83*q^1346+13758354*p ^81*q^1348+184172*p^79*q^1350+103736*p^77*q^1352+80*p^75*q^1354+64*p^116*q^1312 +3618*p^114*q^1314+625502*p^112*q^1316+14521954*p^110*q^1318+193709375*p^108*q^ 1320+2700806920*p^106*q^1322+33225971286*p^104*q^1324+368710014264*p^102*q^1326 +3481088117002*p^100*q^1328+22032843066428*p^98*q^1330+56148157041803*p^96*q^ 1332+39716609246254*p^94*q^1334+9255964469275*p^92*q^1336+1200251900424*p^90*q^ 1338+120856646655*p^88*q^1340+10370058424*p^86*q^1342+776823670*p^84*q^1344+ 49873594*p^82*q^1346+2195672*p^80*q^1348+97402*p^78*q^1350+5312*p^76*q^1352+104 *p^115*q^1312+59092*p^113*q^1314+4263400*p^111*q^1316+46872144*p^109*q^1318+ 724780771*p^107*q^1320+9085326152*p^105*q^1322+105725339347*p^103*q^1324+ 1105676979994*p^101*q^1326+9042642433080*p^99*q^1328+39933399247752*p^97*q^1330 +56160449718196*p^95*q^1332+22185672507678*p^93*q^1334+3671264137602*p^91*q^ 1336+412377777230*p^89*q^1338+38568811763*p^87*q^1340+3108828628*p^85*q^1342+ 201629288*p^83*q^1344+16215552*p^81*q^1346+322496*p^79*q^1348+92856*p^77*q^1350 +932*p^75*q^1352+4*p^116*q^1310+1480*p^114*q^1312+539152*p^112*q^1314+14218600* p^110*q^1316+166783926*p^108*q^1318+2408829344*p^106*q^1320+29560808620*p^104*q ^1322+328607145474*p^102*q^1324+3151032579328*p^100*q^1326+20479495183535*p^98* q^1328+55605579878426*p^96*q^1330+41699937879684*p^94*q^1332+10189881806260*p^ 92*q^1334+1339308553706*p^90*q^1336+136476678286*p^88*q^1338+11768029124*p^86*q ^1340+915813848*p^84*q^1342+54827428*p^82*q^1344+3192728*p^80*q^1346+33040*p^78 *q^1348+23072*p^76*q^1350+912*p^115*q^1310+37916*p^113*q^1312+3217830*p^111*q^ 1314+41327717*p^109*q^1316+634469584*p^107*q^1318+7983515412*p^105*q^1320+ 94107533122*p^103*q^1322+988409745666*p^101*q^1324+8275277091774*p^99*q^1326+ 38021288140105*p^97*q^1328+57437247749018*p^95*q^1330+23866442983922*p^93*q^ 1332+4085903165996*p^91*q^1334+462211991841*p^89*q^1336+43550214852*p^87*q^1338 +3506387461*p^85*q^1340+230694736*p^83*q^1342+17537402*p^81*q^1344+421024*p^79* q^1346+76174*p^77*q^1348+176*p^75*q^1350+16*p^116*q^1308+1192*p^114*q^1310+ 411150*p^112*q^1312+13224562*p^110*q^1314+147475228*p^108*q^1316+2130582516*p^ 106*q^1318+26168045443*p^104*q^1320+293092029614*p^102*q^1322+2834691940780*p^ 100*q^1324+19079872272246*p^98*q^1326+54570236062125*p^96*q^1328+43947436414632 *p^94*q^1330+11150897016273*p^92*q^1332+1498542853318*p^90*q^1334+153158724921* p^88*q^1336+13386980738*p^86*q^1338+1043485922*p^84*q^1340+60926852*p^82*q^1342 +4542300*p^80*q^1344+39788*p^78*q^1346+29836*p^76*q^1348+54*p^74*q^1350+196*p^ 115*q^1308+18646*p^113*q^1310+2306362*p^111*q^1312+37533836*p^109*q^1314+ 540069938*p^107*q^1316+7041778266*p^105*q^1318+83282102840*p^103*q^1320+ 885804371408*p^101*q^1322+7530562296955*p^99*q^1324+36308821871202*p^97*q^1326+ 58208162108250*p^95*q^1328+25753775608850*p^93*q^1330+4518369076148*p^91*q^1332 +518578921142*p^89*q^1334+48985336442*p^87*q^1336+3932522952*p^85*q^1338+ 270393158*p^83*q^1340+18565960*p^81*q^1342+507484*p^79*q^1344+24148*p^77*q^1346 +2770*p^75*q^1348+12*p^116*q^1306+5676*p^114*q^1308+259494*p^112*q^1310+ 11839640*p^110*q^1312+128861164*p^108*q^1314+1903601260*p^106*q^1316+ 23229426380*p^104*q^1318+261001372225*p^102*q^1320+2561683868386*p^100*q^1322+ 17658955318307*p^98*q^1324+53670468083476*p^96*q^1326+45878912425572*p^94*q^ 1328+12243004797782*p^92*q^1330+1669234546294*p^90*q^1332+172419008060*p^88*q^ 1334+15175177194*p^86*q^1336+1183470918*p^84*q^1338+67084154*p^82*q^1340+ 5577916*p^80*q^1342+80740*p^78*q^1344+37774*p^76*q^1346+244*p^115*q^1306+11982* p^113*q^1308+2001636*p^111*q^1310+35532344*p^109*q^1312+474436814*p^107*q^1314+ 6220408056*p^105*q^1316+74173459168*p^103*q^1318+791182235899*p^101*q^1320+ 6871896484464*p^99*q^1322+34374543741090*p^97*q^1324+59095321334232*p^95*q^1326 +27587753201079*p^93*q^1328+5020788230868*p^91*q^1330+580947045345*p^89*q^1332+ 55505596900*p^87*q^1334+4469218275*p^85*q^1336+326393220*p^83*q^1338+20923574*p ^81*q^1340+925448*p^79*q^1342+3670*p^77*q^1344+6064*p^75*q^1346+3492*p^114*q^ 1306+171582*p^112*q^1308+9223538*p^110*q^1310+111222152*p^108*q^1312+1664264750 *p^106*q^1314+20469042720*p^104*q^1316+232288361132*p^102*q^1318+2299171657818* p^100*q^1320+16378042648580*p^98*q^1322+52327103589491*p^96*q^1324+ 48058083672870*p^94*q^1326+13361502798828*p^92*q^1328+1865968546512*p^90*q^1330 +193556251089*p^88*q^1332+17130220006*p^86*q^1334+1324069191*p^84*q^1336+ 74144196*p^82*q^1338+6027102*p^80*q^1340+61344*p^78*q^1342+23202*p^76*q^1344+ 126*p^74*q^1346+228*p^115*q^1304+23748*p^113*q^1306+1378362*p^111*q^1308+ 33644178*p^109*q^1310+412370570*p^107*q^1312+5511509712*p^105*q^1314+ 65700498864*p^103*q^1316+708726384802*p^101*q^1318+6234307149875*p^99*q^1320+ 32652236451562*p^97*q^1322+59490601847614*p^95*q^1324+29624455972244*p^93*q^ 1326+5541504009988*p^91*q^1328+651535422172*p^89*q^1330+62243112740*p^87*q^1332 +5082972170*p^85*q^1334+377985918*p^83*q^1336+21732658*p^81*q^1338+1378680*p^79 *q^1340+12140*p^77*q^1342+10200*p^75*q^1344+1948*p^114*q^1304+93584*p^112*q^ 1306+7823060*p^110*q^1308+99832144*p^108*q^1310+1461112184*p^106*q^1312+ 18149273884*p^104*q^1314+206682159899*p^102*q^1316+2072929788678*p^100*q^1318+ 15092497397785*p^98*q^1320+51122904638758*p^96*q^1322+49875861405453*p^94*q^ 1324+14621045252326*p^92*q^1326+2077723447420*p^90*q^1328+217873132056*p^88*q^ 1330+19459674022*p^86*q^1332+1483786978*p^84*q^1334+89995096*p^82*q^1336+ 7175420*p^80*q^1338+125028*p^78*q^1340+2388*p^76*q^1342+796*p^74*q^1344+48*p^ 115*q^1302+27116*p^113*q^1304+1078302*p^111*q^1306+30422464*p^109*q^1308+ 358741088*p^107*q^1310+4895268030*p^105*q^1312+58480547356*p^103*q^1314+ 632099443033*p^101*q^1316+5675449082400*p^99*q^1318+30728666024197*p^97*q^1320+ 60012002151732*p^95*q^1322+31582741690984*p^93*q^1324+6145470921136*p^91*q^1326 +728944145219*p^89*q^1328+70385622006*p^87*q^1330+5770825562*p^85*q^1332+ 441020998*p^83*q^1334+22395698*p^81*q^1336+1703206*p^79*q^1338+9704*p^77*q^1340 +13724*p^75*q^1342+4*p^116*q^1300+2352*p^114*q^1302+108492*p^112*q^1304+6077132 *p^110*q^1306+90363626*p^108*q^1308+1281059336*p^106*q^1310+15973365502*p^104*q ^1312+183861040364*p^102*q^1314+1857993728047*p^100*q^1316+13938622460702*p^98* q^1318+49503449412496*p^96*q^1320+51923150749008*p^94*q^1322+15906655702936*p^ 92*q^1324+2319890671944*p^90*q^1326+244589557802*p^88*q^1328+21994560534*p^86*q ^1330+1672072792*p^84*q^1332+106839688*p^82*q^1334+7974460*p^80*q^1336+236176*p ^78*q^1338+1008*p^76*q^1340+1300*p^74*q^1342+4*p^115*q^1300+14036*p^113*q^1302+ 620662*p^111*q^1304+26111978*p^109*q^1306+309385915*p^107*q^1308+4313402328*p^ 105*q^1310+51727767692*p^103*q^1312+565295932468*p^101*q^1314+5134741698160*p^ 99*q^1316+29034234420304*p^97*q^1318+59981933136998*p^95*q^1320+33766638603036* p^93*q^1322+6769242245054*p^91*q^1324+816779492656*p^89*q^1326+78973695228*p^87 *q^1328+6553256258*p^85*q^1330+492058793*p^83*q^1332+23951974*p^81*q^1334+ 2003258*p^79*q^1336+9636*p^77*q^1338+2922*p^75*q^1340+52*p^73*q^1342+1012*p^114 *q^1300+125240*p^112*q^1302+4964142*p^110*q^1304+85137536*p^108*q^1306+ 1126092897*p^106*q^1308+14196240492*p^104*q^1310+163494617974*p^102*q^1312+ 1673151721504*p^100*q^1314+12796511070888*p^98*q^1316+48059261215756*p^96*q^ 1318+53534105517945*p^94*q^1320+17346991740438*p^92*q^1322+2579052579792*p^90*q ^1324+275333386906*p^88*q^1326+24854374062*p^86*q^1328+1890349452*p^84*q^1330+ 132943938*p^82*q^1332+8235886*p^80*q^1334+383162*p^78*q^1336+1928*p^76*q^1338+ 4638*p^74*q^1340+72*p^115*q^1298+16268*p^113*q^1300+564986*p^111*q^1302+ 22441232*p^109*q^1304+270757542*p^107*q^1306+3820689818*p^105*q^1308+ 45960248416*p^103*q^1310+503921409559*p^101*q^1312+4659418442722*p^99*q^1314+ 27183391967977*p^97*q^1316+60094745627926*p^95*q^1318+35809291534698*p^93*q^ 1320+7493843753034*p^91*q^1322+913938162828*p^89*q^1324+89269447588*p^87*q^1326 +7492374597*p^85*q^1328+561881856*p^83*q^1330+27080332*p^81*q^1332+2622166*p^79 *q^1334+26266*p^77*q^1336+28*p^75*q^1338+52*p^73*q^1340+260*p^114*q^1298+90016* p^112*q^1300+3440972*p^110*q^1302+77004264*p^108*q^1304+978841612*p^106*q^1306+ 12497943917*p^104*q^1308+145402049450*p^102*q^1310+1496694086437*p^100*q^1312+ 11774512575552*p^98*q^1314+46242180969063*p^96*q^1316+55394159184018*p^94*q^ 1318+18797485334298*p^92*q^1320+2875981667824*p^90*q^1322+308359301484*p^88*q^ 1324+28013779638*p^86*q^1326+2128058588*p^84*q^1328+153488948*p^82*q^1330+ 8053744*p^80*q^1332+457972*p^78*q^1334+292*p^76*q^1336+2136*p^74*q^1338+44*p^ 115*q^1296+10192*p^113*q^1298+507188*p^111*q^1300+18492316*p^109*q^1302+ 239836292*p^107*q^1304+3364962388*p^105*q^1306+40659491497*p^103*q^1308+ 449930952622*p^101*q^1310+4207838090681*p^99*q^1312+25535304157436*p^97*q^1314+ 59663945045068*p^95*q^1316+38086126850586*p^93*q^1318+8236593484292*p^91*q^1320 +1023866794408*p^89*q^1322+100348617881*p^87*q^1324+8519698798*p^85*q^1326+ 623580816*p^83*q^1328+33846066*p^81*q^1330+2982460*p^79*q^1332+57022*p^77*q^ 1334+240*p^75*q^1336+826*p^73*q^1338+604*p^114*q^1296+85682*p^112*q^1298+ 2672028*p^110*q^1300+69956374*p^108*q^1302+853682532*p^106*q^1304+11116721462*p ^104*q^1306+129099768480*p^102*q^1308+1345877647266*p^100*q^1310+10769913599841 *p^98*q^1312+44605290164906*p^96*q^1314+56752167237502*p^94*q^1316+ 20432725949650*p^92*q^1318+3192282382628*p^90*q^1320+346818945330*p^88*q^1322+ 31597785456*p^86*q^1324+2432437276*p^84*q^1326+181318354*p^82*q^1328+7651060*p^ 80*q^1330+630264*p^78*q^1332+1738*p^76*q^1334+4800*p^113*q^1296+439720*p^111*q^ 1298+15169130*p^109*q^1300+217729824*p^107*q^1302+2976361867*p^105*q^1304+ 36058575128*p^103*q^1306+400869941692*p^101*q^1308+3809670647512*p^99*q^1310+ 23798354808996*p^97*q^1312+59341462188444*p^95*q^1314+40175935621648*p^93*q^ 1316+9093450960372*p^91*q^1318+1144155422563*p^89*q^1320+113369877842*p^87*q^ 1322+9679246902*p^85*q^1324+699215224*p^83*q^1326+42342905*p^81*q^1328+3311788* p^79*q^1330+95348*p^77*q^1332+936*p^73*q^1336+824*p^114*q^1294+69716*p^112*q^ 1296+2306838*p^110*q^1298+60195978*p^108*q^1300+740914660*p^106*q^1302+ 9789779151*p^104*q^1304+114848462286*p^102*q^1306+1202194792726*p^100*q^1308+ 9873290988940*p^98*q^1310+42653574423777*p^96*q^1312+58322370394156*p^94*q^1314 +22059142610977*p^92*q^1316+3556967069120*p^90*q^1318+388702639909*p^88*q^1320+ 35647519594*p^86*q^1322+2777485456*p^84*q^1324+207749466*p^82*q^1326+7989806*p^ 80*q^1328+841222*p^78*q^1330+4370*p^76*q^1332+12*p^74*q^1334+60*p^72*q^1336+ 3912*p^113*q^1294+385534*p^111*q^1296+11232298*p^109*q^1298+198111443*p^107*q^ 1300+2605221838*p^105*q^1302+31861454225*p^103*q^1304+357436120064*p^101*q^1306 +3431062360957*p^99*q^1308+22249309897064*p^97*q^1310+58534244127951*p^95*q^ 1312+42492782422714*p^93*q^1314+9969258289812*p^91*q^1316+1280539659436*p^89*q^ 1318+127191550146*p^87*q^1320+10931412034*p^85*q^1322+777210586*p^83*q^1324+ 50553992*p^81*q^1326+2993090*p^79*q^1328+107848*p^77*q^1330+44*p^75*q^1332+112* p^114*q^1292+42124*p^112*q^1294+1810796*p^110*q^1296+53404052*p^108*q^1298+ 648287344*p^106*q^1300+8707774508*p^104*q^1302+101981833586*p^102*q^1304+ 1079727041934*p^100*q^1306+9001360964231*p^98*q^1308+40895500864584*p^96*q^1310 +59368350318700*p^94*q^1312+23871887311890*p^92*q^1314+3942539126066*p^90*q^ 1316+436947189798*p^88*q^1318+40246472702*p^86*q^1320+3201662166*p^84*q^1322+ 233487614*p^82*q^1324+10180514*p^80*q^1326+1146954*p^78*q^1328+15672*p^76*q^ 1330+242*p^72*q^1334+6740*p^113*q^1292+363638*p^111*q^1294+9965760*p^109*q^1296 +178629014*p^107*q^1298+2295897930*p^105*q^1300+28295804736*p^103*q^1302+ 318029142980*p^101*q^1304+3101025383426*p^99*q^1306+20627203661268*p^97*q^1308+ 57827970385664*p^95*q^1310+44577402825911*p^93*q^1312+10978265928854*p^91*q^ 1314+1429776845555*p^89*q^1316+143633540504*p^87*q^1318+12396203073*p^85*q^1320 +878363998*p^83*q^1322+63894292*p^81*q^1324+2648528*p^79*q^1326+165008*p^77*q^ 1328+112*p^75*q^1330+20*p^114*q^1290+29624*p^112*q^1292+1592552*p^110*q^1294+ 42464502*p^108*q^1296+573727768*p^106*q^1298+7664618509*p^104*q^1300+ 90474866552*p^102*q^1302+963370964750*p^100*q^1304+8224865347052*p^98*q^1306+ 38858863755972*p^96*q^1308+60615569098804*p^94*q^1310+25669239176216*p^92*q^ 1312+4385186338772*p^90*q^1314+489261469760*p^88*q^1316+45436879608*p^86*q^1318 +3640769539*p^84*q^1320+259980872*p^82*q^1322+11705162*p^80*q^1324+1235014*p^78 *q^1326+16816*p^76*q^1328+4*p^115*q^1288+2880*p^113*q^1290+248122*p^111*q^1292+ 7495240*p^109*q^1294+160827156*p^107*q^1296+1998787692*p^105*q^1298+24973729760 *p^103*q^1300+283580799996*p^101*q^1302+2787492957352*p^99*q^1304+ 19201114202538*p^97*q^1306+56634225880726*p^95*q^1308+46884171082858*p^93*q^ 1310+12002873600866*p^91*q^1312+1598215856506*p^89*q^1314+161121012860*p^87*q^ 1316+13953674130*p^85*q^1318+999050790*p^83*q^1320+73225914*p^81*q^1322+2590544 *p^79*q^1324+272572*p^77*q^1326+1420*p^75*q^1328+34*p^71*q^1332+34872*p^112*q^ 1290+1525312*p^110*q^1292+36691226*p^108*q^1294+514569270*p^106*q^1296+ 6805898932*p^104*q^1298+80351302596*p^102*q^1300+863756692674*p^100*q^1302+ 7476557795166*p^98*q^1304+37044172503576*p^96*q^1306+61259023249059*p^94*q^1308 +27666755019000*p^92*q^1310+4852439873656*p^90*q^1312+550295569770*p^88*q^1314+ 51282240543*p^86*q^1316+4183225918*p^84*q^1318+287482606*p^82*q^1320+16328248*p ^80*q^1322+1177598*p^78*q^1324+20344*p^76*q^1326+728*p^113*q^1288+200288*p^111* q^1290+6312998*p^109*q^1292+140654676*p^107*q^1294+1749152519*p^105*q^1296+ 22177184862*p^103*q^1298+252053213891*p^101*q^1300+2513391804336*p^99*q^1302+ 17726058360707*p^97*q^1304+55586161183840*p^95*q^1306+48882046236331*p^93*q^ 1308+13178872442328*p^91*q^1310+1783294224316*p^89*q^1312+181514263308*p^87*q^ 1314+15791502128*p^85*q^1316+1151790462*p^83*q^1318+86111284*p^81*q^1320+ 2487020*p^79*q^1322+394864*p^77*q^1324+2944*p^75*q^1326+68*p^114*q^1286+28744*p ^112*q^1288+1191900*p^110*q^1290+30166618*p^108*q^1292+460452596*p^106*q^1294+ 5986591101*p^104*q^1296+71282060822*p^102*q^1298+769814722679*p^100*q^1300+ 6810618719678*p^98*q^1302+35003230316359*p^96*q^1304+62134448175340*p^94*q^1306 +29597493635231*p^92*q^1308+5389666685684*p^90*q^1310+615445589138*p^88*q^1312+ 57972206060*p^86*q^1314+4734394810*p^84*q^1316+315598820*p^82*q^1318+20108562*p ^80*q^1320+1084916*p^78*q^1322+40730*p^76*q^1324+40*p^74*q^1326+2*p^70*q^1330+ 292*p^113*q^1286+160710*p^111*q^1288+5643908*p^109*q^1290+119988652*p^107*q^ 1292+1531799768*p^105*q^1294+19594924509*p^103*q^1296+224485453196*p^101*q^1298 +2255680406364*p^99*q^1300+16419479797886*p^97*q^1302+54084270318004*p^95*q^ 1304+51113795565240*p^93*q^1306+14365271530303*p^91*q^1308+1991877239092*p^89*q ^1310+203708818562*p^87*q^1312+17796541484*p^85*q^1314+1323404760*p^83*q^1316+ 96655474*p^81*q^1318+3235596*p^79*q^1320+420972*p^77*q^1322+1280*p^75*q^1324+16 *p^114*q^1284+11796*p^112*q^1286+998006*p^110*q^1288+24183574*p^108*q^1290+ 416146146*p^106*q^1292+5282989304*p^104*q^1294+63157413393*p^102*q^1296+ 689408452112*p^100*q^1298+6173778216365*p^98*q^1300+33170249685750*p^96*q^1302+ 62390225999549*p^94*q^1304+31760225540068*p^92*q^1306+5949279005893*p^90*q^1308 +691523354550*p^88*q^1310+65326248422*p^86*q^1312+5384129602*p^84*q^1314+ 353868102*p^82*q^1316+24939956*p^80*q^1318+761330*p^78*q^1320+88220*p^76*q^1322 +376*p^74*q^1324+552*p^113*q^1284+166138*p^111*q^1286+4927152*p^109*q^1288+ 106048348*p^107*q^1290+1356278343*p^105*q^1292+17413007592*p^103*q^1294+ 199626031502*p^101*q^1296+2031165273286*p^99*q^1298+15100338797141*p^97*q^1300+ 52710563525282*p^95*q^1302+52964309898264*p^93*q^1304+15723171722248*p^91*q^ 1306+2219471605190*p^89*q^1308+229611156178*p^87*q^1310+20180597423*p^85*q^1312 +1539159030*p^83*q^1314+108185086*p^81*q^1316+4708476*p^79*q^1318+510716*p^77*q ^1320+3420*p^75*q^1322+6376*p^112*q^1284+788932*p^110*q^1286+20594062*p^108*q^ 1288+364345826*p^106*q^1290+4621970031*p^104*q^1292+55976207494*p^102*q^1294+ 613507671362*p^100*q^1296+5607011435962*p^98*q^1298+31172173348292*p^96*q^1300+ 62817000650666*p^94*q^1302+33827380938802*p^92*q^1304+6595513055482*p^90*q^1306 +773252714217*p^88*q^1308+73696590492*p^86*q^1310+6061443146*p^84*q^1312+ 399938906*p^82*q^1314+29522566*p^80*q^1316+576346*p^78*q^1318+102736*p^76*q^ 1320+24*p^74*q^1322+12*p^115*q^1280+412*p^113*q^1282+107016*p^111*q^1284+ 4058674*p^109*q^1286+87067612*p^107*q^1288+1203253104*p^105*q^1290+15360803812* p^103*q^1292+177612800286*p^101*q^1294+1819351948231*p^99*q^1296+13935757776926 *p^97*q^1298+50961384344011*p^95*q^1300+55031306411650*p^93*q^1302+ 17079175550194*p^91*q^1304+2477356159708*p^89*q^1306+257306508475*p^87*q^1308+ 22779533078*p^85*q^1310+1759497919*p^83*q^1312+115525956*p^81*q^1314+5926378*p^ 79*q^1316+411324*p^77*q^1318+12824*p^75*q^1320+20*p^73*q^1322+3676*p^112*q^1282 +713820*p^110*q^1284+17943380*p^108*q^1286+327720874*p^106*q^1288+4074831020*p^ 104*q^1290+49695311106*p^102*q^1292+548875938612*p^100*q^1294+5070265273344*p^ 98*q^1296+29381524586260*p^96*q^1298+62653347662810*p^94*q^1300+36098876115228* p^92*q^1302+7268599233907*p^90*q^1304+867748993996*p^88*q^1306+83017684724*p^86 *q^1308+6885915354*p^84*q^1310+464707714*p^82*q^1312+35692532*p^80*q^1314+ 906274*p^78*q^1316+159696*p^76*q^1318+116*p^74*q^1320+8*p^115*q^1278+44*p^113*q ^1280+67398*p^111*q^1282+3506662*p^109*q^1284+74151656*p^107*q^1286+1065995150* p^105*q^1288+13630133430*p^103*q^1290+157574296156*p^101*q^1292+1635615436952*p ^99*q^1294+12761968949347*p^97*q^1296+49359688987308*p^95*q^1298+56665926071641 *p^93*q^1300+18629121372074*p^91*q^1302+2756024766804*p^89*q^1304+290130235206* p^87*q^1306+25849188753*p^85*q^1308+2016699858*p^83*q^1310+126627443*p^81*q^ 1312+7639950*p^79*q^1314+224444*p^77*q^1316+18172*p^75*q^1318+178*p^114*q^1278+ 4616*p^112*q^1280+624780*p^110*q^1282+15234678*p^108*q^1284+284017120*p^106*q^ 1286+3582796624*p^104*q^1288+44010689838*p^102*q^1290+488358529205*p^100*q^1292 +4593797927990*p^98*q^1294+27459816336257*p^96*q^1296+62655467711602*p^94*q^ 1298+38253535822717*p^92*q^1300+8037026633808*p^90*q^1302+970113901540*p^88*q^ 1304+93497093384*p^86*q^1306+7738089662*p^84*q^1308+539483526*p^82*q^1310+ 40000308*p^80*q^1312+1155440*p^78*q^1314+195968*p^76*q^1316+1044*p^74*q^1318+12 *p^115*q^1276+32*p^113*q^1278+32698*p^111*q^1280+2820480*p^109*q^1282+61877102* p^107*q^1284+952201936*p^105*q^1286+11973507025*p^103*q^1288+140183098058*p^101 *q^1290+1462461379675*p^99*q^1292+11732934852386*p^97*q^1294+47403586670910*p^ 95*q^1296+58515457036558*p^93*q^1298+20164339288932*p^91*q^1300+3072660955238*p ^89*q^1302+325014135150*p^87*q^1304+29225247216*p^85*q^1306+2292389174*p^83*q^ 1308+138417418*p^81*q^1310+9494010*p^79*q^1312+170610*p^77*q^1314+27852*p^75*q^ 1316+144*p^114*q^1276+1364*p^112*q^1278+456858*p^110*q^1280+13315244*p^108*q^ 1282+247588432*p^106*q^1284+3154940164*p^104*q^1286+39066541854*p^102*q^1288+ 436405397454*p^100*q^1290+4144850005206*p^98*q^1292+25758797347748*p^96*q^1294+ 62043279406362*p^94*q^1296+40617904070568*p^92*q^1298+8834266906595*p^90*q^1300 +1087663025538*p^88*q^1302+105229525340*p^86*q^1304+8770619308*p^84*q^1306+ 627985878*p^82*q^1308+43625546*p^80*q^1310+1694050*p^78*q^1312+145460*p^76*q^ 1314+2512*p^74*q^1316+1150*p^113*q^1276+32712*p^111*q^1278+2698106*p^109*q^1280 +53956944*p^107*q^1282+850761012*p^105*q^1284+10631660740*p^103*q^1286+ 124363714893*p^101*q^1288+1312768127250*p^99*q^1290+10708551935067*p^97*q^1292+ 45620743758108*p^95*q^1294+59842671737997*p^93*q^1296+21911609346252*p^91*q^ 1298+3414521002320*p^89*q^1300+366341436996*p^87*q^1302+33087124608*p^85*q^1304 +2621635308*p^83*q^1306+158823928*p^81*q^1308+12384904*p^79*q^1310+190754*p^77* q^1312+58936*p^75*q^1314+36*p^73*q^1316+200*p^114*q^1274+772*p^112*q^1276+ 281098*p^110*q^1278+10828260*p^108*q^1280+208760092*p^106*q^1282+2771303567*p^ 104*q^1284+34530392568*p^102*q^1286+387668172581*p^100*q^1288+3746196926744*p^ 98*q^1290+23955875594265*p^96*q^1292+61640295013366*p^94*q^1294+42792880245216* p^92*q^1296+9748766937062*p^90*q^1298+1214497181666*p^88*q^1300+118466864434*p^ 86*q^1302+9930334513*p^84*q^1304+721311550*p^82*q^1306+46138836*p^80*q^1308+ 1977004*p^78*q^1310+82402*p^76*q^1312+2280*p^74*q^1314+8*p^115*q^1272+1268*p^ 113*q^1274+18874*p^111*q^1276+2232858*p^109*q^1278+46644718*p^107*q^1280+ 753399616*p^105*q^1282+9354552798*p^103*q^1284+110596827650*p^101*q^1286+ 1172875382457*p^99*q^1288+9809124976194*p^97*q^1290+43550150062238*p^95*q^1292+ 61387465024972*p^93*q^1294+23617800929438*p^91*q^1296+3800628889342*p^89*q^1298 +410077695928*p^87*q^1300+37359590236*p^85*q^1302+2927493185*p^83*q^1304+ 182849118*p^81*q^1306+14307404*p^79*q^1308+311032*p^77*q^1310+63116*p^75*q^1312 +224*p^73*q^1314+26*p^114*q^1272+4470*p^112*q^1274+196070*p^110*q^1276+9798182* p^108*q^1278+179656200*p^106*q^1280+2473916534*p^104*q^1282+30600553050*p^102*q ^1284+346114817670*p^100*q^1286+3372821222800*p^98*q^1288+22353657415642*p^96*q ^1290+60629814185388*p^94*q^1292+45201415623642*p^92*q^1294+10686895913351*p^90 *q^1296+1361567032830*p^88*q^1298+133488530787*p^86*q^1300+11300250386*p^84*q^ 1302+848951628*p^82*q^1304+49813122*p^80*q^1306+2910810*p^78*q^1308+36488*p^76* q^1310+10244*p^74*q^1312+1658*p^113*q^1272+9672*p^111*q^1274+1726794*p^109*q^ 1276+39255628*p^107*q^1278+664077611*p^105*q^1280+8238036702*p^103*q^1282+ 98062171584*p^101*q^1284+1051138233546*p^99*q^1286+8925656101214*p^97*q^1288+ 41653325813882*p^95*q^1290+62368969888491*p^93*q^1292+25557097601080*p^91*q^ 1294+4214540932577*p^89*q^1296+461530101098*p^87*q^1298+42083176068*p^85*q^1300 +3322041696*p^83*q^1302+209956762*p^81*q^1304+16242546*p^79*q^1306+387824*p^77* q^1308+56056*p^75*q^1310+56*p^73*q^1312+152*p^114*q^1270+6796*p^112*q^1272+ 159490*p^110*q^1274+8780802*p^108*q^1276+156705770*p^106*q^1278+2188478868*p^ 104*q^1280+27146043000*p^102*q^1282+307410099637*p^100*q^1284+3042415741958*p^ 98*q^1286+20698420968729*p^96*q^1288+59789333892020*p^94*q^1290+47352643394480* p^92*q^1292+11762646554782*p^90*q^1294+1519436585113*p^88*q^1296+150400328716*p ^86*q^1298+12847858841*p^84*q^1300+969446516*p^82*q^1302+55100600*p^80*q^1304+ 3826912*p^78*q^1306+40318*p^76*q^1308+15992*p^74*q^1310+8*p^72*q^1312+676*p^113 *q^1270+15200*p^111*q^1272+1149364*p^109*q^1274+33323468*p^107*q^1276+569361494 *p^105*q^1278+7238952078*p^103*q^1280+86936839946*p^101*q^1282+937185913891*p^ 99*q^1284+8148491374892*p^97*q^1286+39527911081352*p^95*q^1288+63547858569600*p ^93*q^1290+27433381470098*p^91*q^1292+4685554748890*p^89*q^1294+516562532624*p^ 87*q^1296+47450088342*p^85*q^1298+3726452750*p^83*q^1300+247244642*p^81*q^1302+ 17036766*p^79*q^1304+476664*p^77*q^1306+21596*p^75*q^1308+888*p^73*q^1310+4*p^ 114*q^1268+9126*p^112*q^1270+86328*p^110*q^1272+7588254*p^108*q^1274+134702802* p^106*q^1276+1965738136*p^104*q^1278+24033626584*p^102*q^1280+274481680240*p^ 100*q^1282+2734605886659*p^98*q^1284+19231210671680*p^96*q^1286+58439182507690* p^94*q^1288+49701754348690*p^92*q^1290+12856784295957*p^90*q^1292+1700662345786 *p^88*q^1294+169065974073*p^86*q^1296+14588482688*p^84*q^1298+1102770444*p^82*q ^1300+60299134*p^80*q^1302+4954688*p^78*q^1304+82198*p^76*q^1306+22736*p^74*q^ 1308+1256*p^113*q^1268+25900*p^111*q^1270+961610*p^109*q^1272+30462582*p^107*q^ 1274+501117916*p^105*q^1276+6406721590*p^103*q^1278+77147228265*p^101*q^1280+ 839204862732*p^99*q^1282+7390654583142*p^97*q^1284+37582524614888*p^95*q^1286+ 64123518944603*p^93*q^1288+29551849569872*p^91*q^1290+5187648934770*p^89*q^1292 +581549185590*p^87*q^1294+53665561565*p^85*q^1296+4265940638*p^83*q^1298+ 297561941*p^81*q^1300+19198448*p^79*q^1302+764516*p^77*q^1304+3948*p^75*q^1306+ 2424*p^73*q^1308+6714*p^112*q^1268+76424*p^110*q^1270+5847744*p^108*q^1272+ 112650250*p^106*q^1274+1720668488*p^104*q^1276+21205741864*p^102*q^1278+ 243218746859*p^100*q^1280+2461427594738*p^98*q^1282+17720229654700*p^96*q^1284+ 57253726490748*p^94*q^1286+51775318772182*p^92*q^1288+14105680207402*p^90*q^ 1290+1895461846283*p^88*q^1292+190366829452*p^86*q^1294+16433714784*p^84*q^1296 +1232709122*p^82*q^1298+67027416*p^80*q^1300+5461080*p^78*q^1302+60924*p^76*q^ 1304+16508*p^74*q^1306+24*p^72*q^1308+372*p^113*q^1266+35566*p^111*q^1268+ 620188*p^109*q^1270+26717364*p^107*q^1272+436344510*p^105*q^1274+5664374328*p^ 103*q^1276+68484352450*p^101*q^1278+748170654298*p^99*q^1280+6729898931364*p^97 *q^1282+35458175194911*p^95*q^1284+64893855805626*p^93*q^1286+31574479470386*p^ 91*q^1288+5755170419978*p^89*q^1290+650517962290*p^87*q^1292+60416907698*p^85*q ^1294+4849925624*p^83*q^1296+347728458*p^81*q^1298+19630402*p^79*q^1300+1147004 *p^77*q^1302+13940*p^75*q^1304+4728*p^73*q^1306+6896*p^112*q^1266+88268*p^110*q ^1268+4689558*p^108*q^1270+99874170*p^106*q^1272+1522407600*p^104*q^1274+ 18740404847*p^102*q^1276+216942282558*p^100*q^1278+2207471010623*p^98*q^1280+ 16397221108254*p^96*q^1282+55553302036274*p^94*q^1284+54029738503120*p^92*q^ 1286+15372088752180*p^90*q^1288+2120600389564*p^88*q^1290+214027869776*p^86*q^ 1292+18701082566*p^84*q^1294+1394432044*p^82*q^1296+80456510*p^80*q^1298+ 6601390*p^78*q^1300+107258*p^76*q^1302+2284*p^74*q^1304+216*p^72*q^1306+24*p^ 113*q^1264+38272*p^111*q^1266+477466*p^109*q^1268+23474822*p^107*q^1270+ 374840735*p^105*q^1272+5042241892*p^103*q^1274+60730569873*p^101*q^1276+ 668739679978*p^99*q^1278+6089969563578*p^97*q^1280+33530448916978*p^95*q^1282+ 65024728040617*p^93*q^1284+33851294009714*p^91*q^1286+6359355012239*p^89*q^1288 +731010358384*p^87*q^1290+68135044342*p^85*q^1292+5520543950*p^83*q^1294+ 402003236*p^81*q^1296+20344160*p^79*q^1298+1465316*p^77*q^1300+11174*p^75*q^ 1302+7572*p^73*q^1304+8*p^114*q^1262+5340*p^112*q^1264+111762*p^110*q^1266+ 3561760*p^108*q^1268+86708334*p^106*q^1270+1338285414*p^104*q^1272+16531302820* p^102*q^1274+192163873315*p^100*q^1276+1984105316328*p^98*q^1278+15048315779807 *p^96*q^1280+54079283395856*p^94*q^1282+55894737917228*p^92*q^1284+ 16814127893534*p^90*q^1286+2360853288384*p^88*q^1288+241170225818*p^86*q^1290+ 21107213128*p^84*q^1292+1579524848*p^82*q^1294+96769997*p^80*q^1296+7224628*p^ 78*q^1298+184476*p^76*q^1300+1264*p^74*q^1302+436*p^72*q^1304+36*p^113*q^1262+ 32358*p^111*q^1264+376830*p^109*q^1266+19351014*p^107*q^1268+321903460*p^105*q^ 1270+4445199276*p^103*q^1272+53837690208*p^101*q^1274+595455535002*p^99*q^1276+ 5527111387802*p^97*q^1278+31468227220140*p^95*q^1280+65365593155468*p^93*q^1282 +35988155969576*p^91*q^1284+7042568207452*p^89*q^1286+817336328360*p^87*q^1288+ 76724132974*p^85*q^1290+6257768357*p^83*q^1292+452437592*p^81*q^1294+21475455*p ^79*q^1296+1783240*p^77*q^1298+9306*p^75*q^1300+2164*p^73*q^1302+8*p^71*q^1304+ 764*p^112*q^1262+145570*p^110*q^1264+2657962*p^108*q^1266+77996752*p^106*q^1268 +1177646058*p^104*q^1270+14629332586*p^102*q^1272+171263642078*p^100*q^1274+ 1777195388523*p^98*q^1276+13866363751098*p^96*q^1278+52148806814832*p^94*q^1280 +57977216853086*p^92*q^1282+18249033145612*p^90*q^1284+2637265628958*p^88*q^ 1286+270938717256*p^86*q^1288+23894929506*p^84*q^1290+1791433492*p^82*q^1292+ 119232256*p^80*q^1294+7434486*p^78*q^1296+312290*p^76*q^1298+2592*p^74*q^1300+ 1860*p^72*q^1302+132*p^113*q^1260+36020*p^111*q^1262+382316*p^109*q^1264+ 16163500*p^107*q^1266+280830464*p^105*q^1268+3956026404*p^103*q^1270+ 47699092887*p^101*q^1272+532102987794*p^99*q^1274+4988821833509*p^97*q^1276+ 29587629016248*p^95*q^1278+65053716296835*p^93*q^1280+38393010883986*p^91*q^ 1282+7763737975647*p^89*q^1284+918753584690*p^87*q^1286+86585834568*p^85*q^1288 +7174021578*p^83*q^1290+519323540*p^81*q^1292+24162346*p^79*q^1294+2383942*p^77 *q^1296+19450*p^75*q^1298+32*p^73*q^1300+12*p^71*q^1302+842*p^112*q^1260+133244 *p^110*q^1262+2038194*p^108*q^1264+68276318*p^106*q^1266+1018833702*p^104*q^ 1268+12910254300*p^102*q^1270+151700243373*p^100*q^1272+1593996634218*p^98*q^ 1274+12682757578127*p^96*q^1276+50411778129914*p^94*q^1278+59611513088511*p^92* q^1280+19891576082378*p^90*q^1282+2931656355015*p^88*q^1284+304714367386*p^86*q ^1286+26886059454*p^84*q^1288+2025117952*p^82*q^1290+137587660*p^80*q^1292+ 7445560*p^78*q^1294+362488*p^76*q^1296+344*p^74*q^1298+1188*p^72*q^1300+40*p^ 113*q^1258+13134*p^111*q^1260+439380*p^109*q^1262+12513376*p^107*q^1264+ 243396958*p^105*q^1266+3489487982*p^103*q^1268+42247363140*p^101*q^1270+ 472924126376*p^99*q^1272+4518738290338*p^97*q^1274+27622582942327*p^95*q^1276+ 64923716429036*p^93*q^1278+40606803406826*p^91*q^1280+8580482260444*p^89*q^1282 +1026180191378*p^87*q^1284+97655984934*p^85*q^1286+8135101704*p^83*q^1288+ 580538098*p^81*q^1290+30055573*p^79*q^1292+2586036*p^77*q^1294+46812*p^75*q^ 1296+380*p^73*q^1298+216*p^71*q^1300+980*p^112*q^1258+154712*p^110*q^1260+ 1622222*p^108*q^1262+59642458*p^106*q^1264+891564308*p^104*q^1266+11451892893*p ^102*q^1268+135034339418*p^100*q^1270+1426362202807*p^98*q^1272+11643112891470* p^96*q^1274+48322392219729*p^94*q^1276+61407249978000*p^92*q^1278+ 21514233750386*p^90*q^1280+3270631420740*p^88*q^1282+342123021566*p^86*q^1284+ 30405698180*p^84*q^1286+2316630980*p^82*q^1288+163719796*p^80*q^1290+6897750*p^ 78*q^1292+583440*p^76*q^1294+1344*p^74*q^1296+9048*p^111*q^1258+457928*p^109*q^ 1260+10271996*p^107*q^1262+217275296*p^105*q^1264+3093324690*p^103*q^1266+ 37361776210*p^101*q^1268+422369599600*p^99*q^1270+4068382152680*p^97*q^1272+ 25849055469056*p^95*q^1274+64168935412821*p^93*q^1276+43072281753370*p^91*q^ 1278+9435570536299*p^89*q^1280+1152339418722*p^87*q^1282+110142389547*p^85*q^ 1284+9264043104*p^83*q^1286+655912403*p^81*q^1288+37045972*p^79*q^1290+3016388* p^77*q^1292+63368*p^75*q^1294+368*p^71*q^1298+940*p^112*q^1256+107494*p^110*q^ 1258+1531034*p^108*q^1260+49595450*p^106*q^1262+768528954*p^104*q^1264+ 10126098328*p^102*q^1266+119625673185*p^100*q^1268+1277384579516*p^98*q^1270+ 10608903342770*p^96*q^1272+46422852558606*p^94*q^1274+62733175193986*p^92*q^ 1276+23355291605856*p^90*q^1278+3631410079596*p^88*q^1280+384910001112*p^86*q^ 1282+34230598661*p^84*q^1284+2649260306*p^82*q^1286+187605958*p^80*q^1288+ 7210836*p^78*q^1290+697628*p^76*q^1292+4034*p^74*q^1294+24*p^72*q^1296+8*p^70*q ^1298+6107*p^111*q^1256+504536*p^109*q^1258+7599766*p^107*q^1260+191483178*p^ 105*q^1262+2707712531*p^103*q^1264+33054038614*p^101*q^1266+374967820657*p^99*q ^1268+3676217752216*p^97*q^1270+24010459797301*p^95*q^1272+63619982863796*p^93* q^1274+45307202719406*p^91*q^1276+10398198716580*p^89*q^1278+1286336148886*p^87 *q^1280+124029084140*p^85*q^1282+10442990554*p^83*q^1284+732874534*p^81*q^1286+ 44681070*p^79*q^1288+2729410*p^77*q^1290+96890*p^75*q^1292+52*p^73*q^1294+100*p ^112*q^1254+65228*p^110*q^1256+1427460*p^108*q^1258+42455888*p^106*q^1260+ 674343514*p^104*q^1262+8993923433*p^102*q^1264+106529327768*p^100*q^1266+ 1141543155545*p^98*q^1268+9709867327236*p^96*q^1270+44210303685477*p^94*q^1272+ 64206510227924*p^92*q^1274+25156056457447*p^90*q^1276+4045685944194*p^88*q^1278 +431820055538*p^86*q^1280+38764425896*p^84*q^1282+3055985260*p^82*q^1284+ 213976058*p^80*q^1286+8723964*p^78*q^1288+989162*p^76*q^1290+9872*p^74*q^1292+ 60*p^70*q^1296+8344*p^111*q^1254+506388*p^109*q^1256+6618970*p^107*q^1258+ 168653234*p^105*q^1260+2382756118*p^103*q^1262+29251988353*p^101*q^1264+ 334335021740*p^99*q^1266+3303772285721*p^97*q^1268+22360124208542*p^95*q^1270+ 62434186934191*p^93*q^1272+47797379906074*p^91*q^1274+11404287816950*p^89*q^ 1276+1442697785614*p^87*q^1278+139795780959*p^85*q^1280+11854229034*p^83*q^1282 +830588732*p^81*q^1284+55875580*p^79*q^1286+2466572*p^77*q^1288+138246*p^75*q^ 1290+144*p^73*q^1292+44*p^112*q^1252+45066*p^110*q^1254+1470620*p^108*q^1256+ 33605870*p^106*q^1258+588823760*p^104*q^1260+7957754342*p^102*q^1262+ 94164010573*p^100*q^1264+1021375774182*p^98*q^1266+8818856020188*p^96*q^1268+ 42224497701636*p^94*q^1270+65127290362700*p^92*q^1272+27198474079312*p^90*q^ 1274+4484304913514*p^88*q^1276+485597083764*p^86*q^1278+43696238209*p^84*q^1280 +3480404894*p^82*q^1282+239108252*p^80*q^1284+10207188*p^78*q^1286+1082810*p^76 *q^1288+11068*p^74*q^1290+8*p^113*q^1250+3120*p^111*q^1252+356768*p^109*q^1254+ 5307160*p^107*q^1256+146734084*p^105*q^1258+2076260510*p^103*q^1260+25875818874 *p^101*q^1262+296939276304*p^99*q^1264+2978556147912*p^97*q^1266+20677711640556 *p^95*q^1268+61484732743904*p^93*q^1270+49971578344854*p^91*q^1272+ 12536472552730*p^89*q^1274+1608394478616*p^87*q^1276+157431591152*p^85*q^1278+ 13321477741*p^83*q^1280+950225730*p^81*q^1282+65240119*p^79*q^1284+2246138*p^77 *q^1286+219384*p^75*q^1288+1016*p^73*q^1290+4*p^69*q^1294+42994*p^110*q^1252+ 1650084*p^108*q^1254+27973566*p^106*q^1256+522537206*p^104*q^1258+7043323602*p^ 102*q^1260+83785973002*p^100*q^1262+911305048452*p^98*q^1264+8044330485852*p^96 *q^1266+39981160029237*p^94*q^1268+66217051718136*p^92*q^1270+29160385521975*p^ 90*q^1272+4987427272568*p^88*q^1274+544881043444*p^86*q^1276+49460198128*p^84*q ^1278+3986948152*p^82*q^1280+266480994*p^80*q^1282+13857830*p^78*q^1284+1069656 *p^76*q^1286+20098*p^74*q^1288+1092*p^111*q^1250+284335*p^109*q^1252+4679156*p^ 107*q^1254+126716718*p^105*q^1256+1818146998*p^103*q^1258+22939182518*p^101*q^ 1260+264552336650*p^99*q^1262+2672438935506*p^97*q^1264+19167326891708*p^95*q^ 1266+59938217556887*p^93*q^1268+52415781779200*p^91*q^1270+13702274640154*p^89* q^1272+1802845593960*p^87*q^1274+177046988640*p^85*q^1276+15113151282*p^83*q^ 1278+1099893206*p^81*q^1280+76828306*p^79*q^1282+2162720*p^77*q^1284+326000*p^ 75*q^1286+1176*p^73*q^1288+8*p^114*q^1246+148*p^112*q^1248+35706*p^110*q^1250+ 1454558*p^108*q^1252+22988606*p^106*q^1254+459549338*p^104*q^1256+6215656106*p^ 102*q^1258+74034033946*p^100*q^1260+814281332006*p^98*q^1262+7287072980053*p^96 *q^1264+37947824007380*p^94*q^1266+66717206113070*p^92*q^1268+31384269607354*p^ 90*q^1270+5518788077478*p^88*q^1272+612212451424*p^86*q^1274+55810377459*p^84*q ^1276+4524404956*p^82*q^1278+293987240*p^80*q^1280+17346914*p^78*q^1282+962252* p^76*q^1284+29980*p^74*q^1286+40*p^72*q^1288+292*p^111*q^1248+194622*p^109*q^ 1250+4724716*p^107*q^1252+105266924*p^105*q^1254+1585442386*p^103*q^1256+ 20317767116*p^101*q^1258+234683058597*p^99*q^1260+2404733073150*p^97*q^1262+ 17650556925727*p^95*q^1264+58611234886392*p^93*q^1266+54472896466343*p^91*q^ 1268+15022002094904*p^89*q^1270+2007482845120*p^87*q^1272+199367157000*p^85*q^ 1274+16996935097*p^83*q^1276+1262853596*p^81*q^1278+86713178*p^79*q^1280+ 2730286*p^77*q^1282+356890*p^75*q^1284+1974*p^73*q^1286+4*p^114*q^1244+16*p^112 *q^1246+14238*p^110*q^1248+1288770*p^108*q^1250+18117128*p^106*q^1252+408600992 *p^104*q^1254+5478508024*p^102*q^1256+65750795420*p^100*q^1258+725768488276*p^ 98*q^1260+6628508009840*p^96*q^1262+35741390851578*p^94*q^1264+67353203628872*p ^92*q^1266+33492957920321*p^90*q^1268+6124902452454*p^88*q^1270+686145430361*p^ 86*q^1272+63112691286*p^84*q^1274+5130907853*p^82*q^1276+334976388*p^80*q^1278+ 21662542*p^78*q^1280+644380*p^76*q^1282+69516*p^74*q^1284+136*p^72*q^1286+104*p ^113*q^1244+1172*p^111*q^1246+214444*p^109*q^1248+4702462*p^107*q^1250+91552480 *p^105*q^1252+1402228780*p^103*q^1254+18024698440*p^101*q^1256+209206772980*p^ 99*q^1258+2154416388414*p^97*q^1260+16293721612188*p^95*q^1262+56771110047869*p ^93*q^1264+56759556638180*p^91*q^1266+16365572387248*p^89*q^1268+2248126124108* p^87*q^1270+224418464179*p^85*q^1272+19318147816*p^83*q^1274+1471200293*p^81*q^ 1276+97486818*p^79*q^1278+3865204*p^77*q^1280+447542*p^75*q^1282+2296*p^73*q^ 1284+8*p^114*q^1242+6932*p^110*q^1246+934717*p^108*q^1248+15745016*p^106*q^1250 +351705962*p^104*q^1252+4793991256*p^102*q^1254+58070922555*p^100*q^1256+ 647475742790*p^98*q^1258+5984521207932*p^96*q^1260+33737709770398*p^94*q^1262+ 67402523086909*p^92*q^1264+35870941873142*p^90*q^1266+6763319912099*p^88*q^1268 +770673821088*p^86*q^1270+71016470359*p^84*q^1272+5782206864*p^82*q^1274+ 378936002*p^80*q^1276+25680378*p^78*q^1278+522510*p^76*q^1280+78392*p^74*q^1282 +104*p^72*q^1284+76*p^113*q^1242+572*p^111*q^1244+128052*p^109*q^1246+4406354*p ^107*q^1248+73406624*p^105*q^1250+1232599330*p^103*q^1252+15961087156*p^101*q^ 1254+185413486473*p^99*q^1256+1935688591602*p^97*q^1258+14945506995870*p^95*q^ 1260+55154805945458*p^93*q^1262+58639032857546*p^91*q^1264+17871586900400*p^89* q^1266+2501186339821*p^87*q^1268+252447589482*p^85*q^1270+21789681816*p^83*q^ 1272+1681909186*p^81*q^1274+105427198*p^79*q^1276+5027196*p^77*q^1278+322618*p^ 75*q^1280+9814*p^73*q^1282+8*p^71*q^1284+540*p^112*q^1242+6136*p^110*q^1244+ 885512*p^108*q^1246+14494174*p^106*q^1248+312533442*p^104*q^1250+4222994588*p^ 102*q^1252+51671152922*p^100*q^1254+576773573016*p^98*q^1256+5431494919696*p^96 *q^1258+31587421777852*p^94*q^1260+67588351925992*p^92*q^1262+38083753839777*p^ 90*q^1264+7492870052058*p^88*q^1266+862678622309*p^86*q^1268+80347400948*p^84*q ^1270+6558973931*p^82*q^1272+444175694*p^80*q^1274+31169304*p^78*q^1276+705086* p^76*q^1278+138582*p^74*q^1280+84*p^72*q^1282+144*p^113*q^1240+44*p^111*q^1242+ 74854*p^109*q^1244+3843934*p^107*q^1246+61257734*p^105*q^1248+1083966164*p^103* q^1250+14111506238*p^101*q^1252+164842545650*p^99*q^1254+1731044411987*p^97*q^ 1256+13743935774010*p^95*q^1258+53065885950561*p^93*q^1260+60718810036298*p^91* q^1262+19408614682151*p^89*q^1264+2795384681254*p^87*q^1266+284114550193*p^85*q ^1268+24732479230*p^83*q^1270+1925020101*p^81*q^1272+116651918*p^79*q^1274+ 6453370*p^77*q^1276+199430*p^75*q^1278+12248*p^73*q^1280+724*p^112*q^1240+7058* p^110*q^1242+762078*p^108*q^1244+13554252*p^106*q^1246+266522560*p^104*q^1248+ 3718269056*p^102*q^1250+45651178110*p^100*q^1252+514479251228*p^98*q^1254+ 4893968290635*p^96*q^1256+29667040745170*p^94*q^1258+67136378215408*p^92*q^1260 +40582842524940*p^90*q^1262+8252400998313*p^88*q^1264+968670838524*p^86*q^1266+ 90286677633*p^84*q^1268+7401714728*p^82*q^1270+516170766*p^80*q^1272+34933962*p ^78*q^1274+947106*p^76*q^1276+146184*p^74*q^1278+762*p^72*q^1280+8*p^113*q^1238 +1476*p^111*q^1240+39798*p^109*q^1242+3216152*p^107*q^1244+50581842*p^105*q^ 1246+958084974*p^103*q^1248+12438576264*p^101*q^1250+146066146036*p^99*q^1252+ 1552181540406*p^97*q^1254+12557978986641*p^95*q^1256+51232735870870*p^93*q^1258 +62300898167584*p^91*q^1260+21123441703180*p^89*q^1262+3107573431111*p^87*q^ 1264+319599748090*p^85*q^1266+27949365952*p^83*q^1268+2184939034*p^81*q^1270+ 129922540*p^79*q^1272+8131352*p^77*q^1274+133642*p^75*q^1276+24466*p^73*q^1278+ 1168*p^112*q^1238+1580*p^110*q^1240+511532*p^108*q^1242+12672314*p^106*q^1244+ 227325778*p^104*q^1246+3261304373*p^102*q^1248+40618363850*p^100*q^1250+ 457757578721*p^98*q^1252+4429466640796*p^96*q^1254+27648617844719*p^94*q^1256+ 66872763665212*p^92*q^1258+42842732873673*p^90*q^1260+9119422220422*p^88*q^1262 +1083027277326*p^86*q^1264+101964016508*p^84*q^1266+8350991204*p^82*q^1268+ 602137450*p^80*q^1270+38109288*p^78*q^1272+1361156*p^76*q^1274+110112*p^74*q^ 1276+1650*p^72*q^1278+3680*p^111*q^1238+47946*p^109*q^1240+3145814*p^107*q^1242 +44952137*p^105*q^1244+851293280*p^103*q^1246+11016031640*p^101*q^1248+ 129944910362*p^99*q^1250+1386584999782*p^97*q^1252+11506135597684*p^95*q^1254+ 48979875472191*p^93*q^1256+64101142509984*p^91*q^1258+22836969544338*p^89*q^ 1260+3470105760416*p^87*q^1262+359509244310*p^85*q^1264+31726975010*p^83*q^1266 +2505219182*p^81*q^1268+151028296*p^79*q^1270+10554044*p^77*q^1272+146932*p^75* q^1274+43768*p^73*q^1276+24*p^71*q^1278+416*p^112*q^1236+3194*p^110*q^1238+ 315816*p^108*q^1240+10935562*p^106*q^1242+188824030*p^104*q^1244+2857040018*p^ 102*q^1246+35832812841*p^100*q^1248+407557970148*p^98*q^1250+3982749537814*p^96 *q^1252+25821704573358*p^94*q^1254+65994190110078*p^92*q^1256+45411032469522*p^ 90*q^1258+10020495602434*p^88*q^1260+1214960000688*p^86*q^1262+114644944433*p^ 84*q^1264+9473280564*p^82*q^1266+688663922*p^80*q^1268+40934926*p^78*q^1270+ 1673022*p^76*q^1272+62858*p^74*q^1274+2062*p^72*q^1276+8*p^113*q^1234+5820*p^ 111*q^1236+23288*p^109*q^1238+2518846*p^107*q^1240+39922274*p^105*q^1242+ 742850840*p^103*q^1244+9714916818*p^101*q^1246+115061306256*p^99*q^1248+ 1242253742936*p^97*q^1250+10478956255935*p^95*q^1252+46983048469624*p^93*q^1254 +65337315086929*p^91*q^1256+24760608515570*p^89*q^1258+3848222210074*p^87*q^ 1260+404043212610*p^85*q^1262+35733235451*p^83*q^1264+2799568826*p^81*q^1266+ 174481366*p^79*q^1268+12027768*p^77*q^1270+233944*p^75*q^1272+42174*p^73*q^1274 +168*p^71*q^1276+20*p^112*q^1234+10384*p^110*q^1236+251118*p^108*q^1238+ 10426064*p^106*q^1240+159490604*p^104*q^1242+2539745606*p^102*q^1244+ 31824464096*p^100*q^1246+362556829563*p^98*q^1248+3596924652384*p^96*q^1250+ 23953854297413*p^94*q^1252+65251429918700*p^92*q^1254+47686036640938*p^90*q^ 1256+11045878059512*p^88*q^1258+1358193642727*p^86*q^1260+129666870232*p^84*q^ 1262+10765749298*p^82*q^1264+812742248*p^80*q^1266+45603116*p^78*q^1268+2460614 *p^76*q^1270+23528*p^74*q^1272+8116*p^72*q^1274+5108*p^111*q^1234+15566*p^109*q ^1236+1916118*p^107*q^1238+35321716*p^105*q^1240+650194638*p^103*q^1242+ 8531994715*p^101*q^1244+102339778932*p^99*q^1246+1107904166635*p^97*q^1248+ 9570714416948*p^95*q^1250+44654465896282*p^93*q^1252+66753271640688*p^91*q^1254 +26657280856499*p^89*q^1256+4290014718078*p^87*q^1258+453716891139*p^85*q^1260+ 40394539558*p^83*q^1262+3170825904*p^81*q^1264+201770878*p^79*q^1266+13425722*p ^77*q^1268+304004*p^75*q^1270+38978*p^73*q^1272+48*p^71*q^1274+148*p^112*q^1232 +19748*p^110*q^1234+193810*p^108*q^1236+9454648*p^106*q^1238+137528043*p^104*q^ 1240+2236005520*p^102*q^1242+28156591759*p^100*q^1244+322618972482*p^98*q^1246+ 3227453973163*p^96*q^1248+22271110361442*p^94*q^1250+63955624927691*p^92*q^1252 +50235885324186*p^90*q^1254+12104731394750*p^88*q^1256+1522519051750*p^86*q^ 1258+145815425806*p^84*q^1260+12246115390*p^82*q^1262+927079014*p^80*q^1264+ 51004150*p^78*q^1266+3222052*p^76*q^1268+30122*p^74*q^1270+9572*p^72*q^1272+8*p ^70*q^1274+860*p^111*q^1232+21032*p^109*q^1234+1308193*p^107*q^1236+31804338*p^ 105*q^1238+548627244*p^103*q^1240+7513153258*p^101*q^1242+90433602513*p^99*q^ 1244+990736494506*p^97*q^1246+8686995749984*p^95*q^1248+42579093195854*p^93*q^ 1250+67598382415242*p^91*q^1252+28771235192892*p^89*q^1254+4751621596208*p^87*q ^1256+509956291636*p^85*q^1258+45464186437*p^83*q^1260+3564907534*p^81*q^1262+ 236983007*p^79*q^1264+14460860*p^77*q^1266+405786*p^75*q^1268+10766*p^73*q^1270 +832*p^71*q^1272+20*p^112*q^1230+29068*p^110*q^1232+116790*p^108*q^1234+8249308 *p^106*q^1236+118317420*p^104*q^1238+1997740190*p^102*q^1240+24989891338*p^100* q^1242+286927357951*p^98*q^1244+2910375749834*p^96*q^1246+20562988040417*p^94*q ^1248+62829827149138*p^92*q^1250+52438668591246*p^90*q^1252+13301314545492*p^88 *q^1254+1699549052994*p^86*q^1256+164569026606*p^84*q^1258+13897755466*p^82*q^ 1260+1055913994*p^80*q^1262+57474530*p^78*q^1264+3970538*p^76*q^1266+53992*p^74 *q^1268+15222*p^72*q^1270+1328*p^111*q^1230+45966*p^109*q^1232+1117002*p^107*q^ 1234+29928458*p^105*q^1236+477022142*p^103*q^1238+6613064680*p^101*q^1240+ 80450837196*p^99*q^1242+882866280487*p^97*q^1244+7909801023150*p^95*q^1246+ 40219048099576*p^93*q^1248+68597025858158*p^91*q^1250+30838762421620*p^89*q^ 1252+5287491964064*p^87*q^1254+572573105002*p^85*q^1256+51559580982*p^83*q^1258 +4062714200*p^81*q^1260+285509786*p^79*q^1262+16516994*p^77*q^1264+660862*p^75* q^1266+2854*p^73*q^1268+1348*p^71*q^1270+12956*p^110*q^1230+84176*p^108*q^1232+ 6319950*p^106*q^1234+101426214*p^104*q^1236+1740266250*p^102*q^1238+22009662521 *p^100*q^1240+254934558414*p^98*q^1242+2606061086827*p^96*q^1244+19034690478078 *p^94*q^1246+61148182075379*p^92*q^1248+54929927530404*p^90*q^1250+ 14531096187159*p^88*q^1252+1902569855506*p^86*q^1254+184996795755*p^84*q^1256+ 15675546010*p^82*q^1258+1185222534*p^80*q^1260+64059154*p^78*q^1262+4297778*p^ 76*q^1264+49874*p^74*q^1266+7470*p^72*q^1268+32*p^70*q^1270+576*p^111*q^1228+ 93776*p^109*q^1230+754624*p^107*q^1232+27462046*p^105*q^1234+406999278*p^103*q^ 1236+5855490028*p^101*q^1238+71190895211*p^99*q^1240+789213336500*p^97*q^1242+ 7160383638926*p^95*q^1244+38139062285270*p^93*q^1246+68964116486242*p^91*q^1248 +33135365565708*p^89*q^1250+5844431365570*p^87*q^1252+643462084514*p^85*q^1254+ 57969931654*p^83*q^1256+4632573778*p^81*q^1258+331706154*p^79*q^1260+17676006*p ^77*q^1262+949588*p^75*q^1264+7936*p^73*q^1266+3228*p^71*q^1268+8700*p^110*q^ 1228+90656*p^108*q^1230+5154950*p^106*q^1232+91263550*p^104*q^1234+1528953464*p ^102*q^1236+19472630540*p^100*q^1238+226495144941*p^98*q^1240+2344140279798*p^ 96*q^1242+17503432474117*p^94*q^1244+59668467921458*p^92*q^1246+56973687743628* p^90*q^1248+15920500273920*p^88*q^1250+2122245882780*p^86*q^1252+208677446098*p ^84*q^1254+17797428656*p^82*q^1256+1336418340*p^80*q^1258+77667562*p^78*q^1260+ 5183680*p^76*q^1262+94700*p^74*q^1264+576*p^72*q^1266+136*p^70*q^1268+76*p^111* q^1226+85460*p^109*q^1228+562384*p^107*q^1230+24375329*p^105*q^1232+348155740*p ^103*q^1234+5184103347*p^101*q^1236+63324886940*p^99*q^1238+702466211920*p^97*q ^1240+6503420749536*p^95*q^1242+35828917379479*p^93*q^1244+69522834233904*p^91* q^1246+35328166016249*p^89*q^1248+6491092522642*p^87*q^1250+721213024799*p^85*q ^1252+65643207586*p^83*q^1254+5259582612*p^81*q^1256+386664322*p^79*q^1258+ 18764122*p^77*q^1260+1126434*p^75*q^1262+6776*p^73*q^1264+3354*p^71*q^1266+8*p^ 112*q^1224+6644*p^110*q^1226+198536*p^108*q^1228+3990344*p^106*q^1230+82916246* p^104*q^1232+1331332980*p^102*q^1234+17139512046*p^100*q^1236+201148200128*p^98 *q^1238+2096699809780*p^96*q^1240+16128244907616*p^94*q^1242+57695617346475*p^ 92*q^1244+59303735022850*p^90*q^1246+17331977512248*p^88*q^1248+2373942907940*p ^86*q^1250+234710048223*p^84*q^1252+20129683590*p^82*q^1254+1517349861*p^80*q^ 1256+92589954*p^78*q^1258+5929466*p^76*q^1260+167426*p^74*q^1262+744*p^72*q^ 1264+316*p^70*q^1266+56*p^111*q^1224+51272*p^109*q^1226+345372*p^107*q^1228+ 20227820*p^105*q^1230+295954250*p^103*q^1232+4569465138*p^101*q^1234+ 55941137730*p^99*q^1236+626936245712*p^97*q^1238+5871169553706*p^95*q^1240+ 33779570667014*p^93*q^1242+69423083854479*p^91*q^1244+37786293798620*p^89*q^ 1246+7159110953367*p^87*q^1248+809746987454*p^85*q^1250+73766717909*p^83*q^1252 +5969155496*p^81*q^1254+432907360*p^79*q^1256+20296750*p^77*q^1258+1286136*p^75 *q^1260+8348*p^73*q^1262+348*p^71*q^1264+8*p^69*q^1266+1808*p^110*q^1224+295326 *p^108*q^1226+3094348*p^106*q^1228+76515358*p^104*q^1230+1158815589*p^102*q^ 1232+15187747776*p^100*q^1234+178651806318*p^98*q^1236+1883721721040*p^96*q^ 1238+14778604134188*p^94*q^1240+55918079239318*p^92*q^1242+61125196986593*p^90* q^1244+18919078055862*p^88*q^1246+2642959307454*p^86*q^1248+264733664442*p^84*q ^1250+22756741863*p^82*q^1252+1721852292*p^80*q^1254+114486544*p^78*q^1256+ 6303134*p^76*q^1258+253500*p^74*q^1260+1152*p^72*q^1262+884*p^70*q^1264+136*p^ 111*q^1222+45600*p^109*q^1224+425094*p^107*q^1226+17190032*p^105*q^1228+ 261453720*p^103*q^1230+4052311415*p^101*q^1232+49695809740*p^99*q^1234+ 557900863449*p^97*q^1236+5316867267916*p^95*q^1238+31572842653689*p^93*q^1240+ 69468031401126*p^91*q^1242+40084598172706*p^89*q^1244+7936347267928*p^87*q^1246 +907971155197*p^85*q^1248+83540103842*p^83*q^1250+6822928417*p^81*q^1252+ 501654762*p^79*q^1254+23286960*p^77*q^1256+1796736*p^75*q^1258+20028*p^73*q^ 1260+32*p^71*q^1262+8*p^69*q^1264+1336*p^110*q^1222+240076*p^108*q^1224+2131062 *p^106*q^1226+68024401*p^104*q^1228+990248912*p^102*q^1230+13344809631*p^100*q^ 1232+158639862464*p^98*q^1234+1680972806701*p^96*q^1236+13570013145886*p^94*q^ 1238+53728349649324*p^92*q^1240+63206593481740*p^90*q^1242+20520450392491*p^88* q^1244+2952315523030*p^86*q^1246+297040436289*p^84*q^1248+25658058464*p^82*q^ 1250+1942581211*p^80*q^1252+130508072*p^78*q^1254+6406192*p^76*q^1256+252288*p^ 74*q^1258+328*p^72*q^1260+134*p^70*q^1262+24*p^111*q^1220+20800*p^109*q^1222+ 651967*p^107*q^1224+13715006*p^105*q^1226+229835339*p^103*q^1228+3563796178*p^ 101*q^1230+43921896780*p^99*q^1232+497219560338*p^97*q^1234+4790084251897*p^95* q^1236+29607402094928*p^93*q^1238+68910541653628*p^91*q^1240+42628324862706*p^ 89*q^1242+8733608694147*p^87*q^1244+1018740974082*p^85*q^1246+94059353049*p^83* q^1248+7743640240*p^81*q^1250+562079859*p^79*q^1252+29206614*p^77*q^1254+ 2008066*p^75*q^1256+42468*p^73*q^1258+140*p^71*q^1260+128*p^69*q^1262+1080*p^ 110*q^1220+219476*p^108*q^1222+1635252*p^106*q^1224+60697582*p^104*q^1226+ 857659430*p^102*q^1228+11868400538*p^100*q^1230+140716974098*p^98*q^1232+ 1508893193274*p^96*q^1234+12382787126488*p^94*q^1236+51754764388024*p^92*q^1238 +64731300753777*p^90*q^1240+22316083272504*p^88*q^1242+3282707161309*p^86*q^ 1244+334930037378*p^84*q^1246+29007293940*p^82*q^1248+2225712510*p^80*q^1250+ 156203606*p^78*q^1252+6334286*p^76*q^1254+402472*p^74*q^1256+1568*p^72*q^1258+ 15142*p^109*q^1220+749520*p^107*q^1222+11020786*p^105*q^1224+208171082*p^103*q^ 1226+3134042170*p^101*q^1228+38871297832*p^99*q^1230+442251802748*p^97*q^1232+ 4328156809204*p^95*q^1234+27530234035019*p^93*q^1236+68480957777170*p^91*q^1238 +44981459030745*p^89*q^1240+9652863268992*p^87*q^1242+1140577672294*p^85*q^1244 +106438672210*p^83*q^1246+8783371933*p^81*q^1248+634276300*p^79*q^1250+35297458 *p^77*q^1252+2312276*p^75*q^1254+48060*p^73*q^1256+26*p^69*q^1260+652*p^110*q^ 1218+145384*p^108*q^1220+1627310*p^106*q^1222+51560637*p^104*q^1224+739339676*p ^102*q^1226+10452721130*p^100*q^1228+125059681284*p^98*q^1230+1344904200851*p^ 96*q^1232+11332115689756*p^94*q^1234+49393387236335*p^92*q^1236+66502964122854* p^90*q^1238+24111518920310*p^88*q^1240+3662062707682*p^86*q^1242+376002796638*p ^84*q^1244+32740814966*p^82*q^1246+2542696611*p^80*q^1248+181343612*p^78*q^1250 +6916268*p^76*q^1252+520100*p^74*q^1254+4164*p^72*q^1256+8*p^70*q^1258+8*p^68*q ^1260+8172*p^109*q^1218+774464*p^107*q^1220+8015660*p^105*q^1222+187157592*p^ 103*q^1224+2725242964*p^101*q^1226+34316177668*p^99*q^1228+393633062394*p^97*q^ 1230+3890100286005*p^95*q^1232+25695712234238*p^93*q^1234+67439379339374*p^91*q ^1236+47583226738726*p^89*q^1238+10596030735458*p^87*q^1240+1278889018780*p^85* q^1242+119641796370*p^83*q^1244+9925891082*p^81*q^1246+711334101*p^79*q^1248+ 41731036*p^77*q^1250+2222762*p^75*q^1252+60250*p^73*q^1254+68*p^71*q^1256+120*p ^110*q^1216+104846*p^108*q^1218+1755390*p^106*q^1220+44274566*p^104*q^1222+ 644761922*p^102*q^1224+9298129970*p^100*q^1226+110908042818*p^98*q^1228+ 1205235817888*p^96*q^1230+10310694998885*p^94*q^1232+47295043400122*p^92*q^1234 +67625123042094*p^90*q^1236+26113484969972*p^88*q^1238+4065875039018*p^86*q^ 1240+423471619546*p^84*q^1242+37017679603*p^82*q^1244+2920520022*p^80*q^1246+ 206741852*p^78*q^1248+8582450*p^76*q^1250+684554*p^74*q^1252+8648*p^72*q^1254+2 *p^68*q^1258+2*p^113*q^1212+6552*p^109*q^1216+673212*p^107*q^1218+6813753*p^105 *q^1220+167996646*p^103*q^1222+2383306286*p^101*q^1224+30422726362*p^99*q^1226+ 349703267097*p^97*q^1228+3507726238358*p^95*q^1230+23781703223434*p^93*q^1232+ 66573747141400*p^91*q^1234+49897578869460*p^89*q^1236+11682659693358*p^87*q^ 1238+1430201944538*p^85*q^1240+135362206176*p^83*q^1242+11243535862*p^81*q^1244 +811610534*p^79*q^1246+53066556*p^77*q^1248+2064114*p^75*q^1250+102612*p^73*q^ 1252+164*p^71*q^1254+36*p^110*q^1214+68760*p^108*q^1216+2036548*p^106*q^1218+ 35152738*p^104*q^1220+568997084*p^102*q^1222+8179254858*p^100*q^1224+ 98333676950*p^98*q^1226+1073493604083*p^96*q^1228+9400580004980*p^94*q^1230+ 44874311297328*p^92*q^1232+69019702591200*p^90*q^1234+28084692766310*p^88*q^ 1236+4529275429436*p^86*q^1238+475257302394*p^84*q^1240+41846037994*p^82*q^1242 +3317274900*p^80*q^1244+232204444*p^78*q^1246+9575508*p^76*q^1248+800578*p^74*q ^1250+6940*p^72*q^1252+8*p^113*q^1210+20*p^111*q^1212+3018*p^109*q^1214+511952* p^107*q^1216+5313774*p^105*q^1218+148337247*p^103*q^1220+2055853662*p^101*q^ 1222+26840378141*p^99*q^1224+311327698134*p^97*q^1226+3146361732823*p^95*q^1228 +22086866333986*p^93*q^1230+65130891536845*p^91*q^1232+52488592641458*p^89*q^ 1234+12783222705815*p^87*q^1236+1601643982744*p^85*q^1238+152103626449*p^83*q^ 1240+12663260322*p^81*q^1242+924432585*p^79*q^1244+61987358*p^77*q^1246+2108356 *p^75*q^1248+141938*p^73*q^1250+1012*p^71*q^1252+26*p^112*q^1210+42416*p^108*q^ 1214+2176222*p^106*q^1216+29445726*p^104*q^1218+508209253*p^102*q^1220+ 7243295636*p^100*q^1222+87214139784*p^98*q^1224+960728930566*p^96*q^1226+ 8529062953996*p^94*q^1228+42698858231132*p^92*q^1230+69717682046030*p^90*q^1232 +30288435270872*p^88*q^1234+5017470301029*p^86*q^1236+535480658816*p^84*q^1238+ 47297834434*p^82*q^1240+3796580754*p^80*q^1242+261121110*p^78*q^1244+12983424*p ^76*q^1246+777012*p^74*q^1248+13928*p^72*q^1250+1116*p^109*q^1212+431652*p^107* q^1214+5172706*p^105*q^1216+128476270*p^103*q^1218+1794803437*p^101*q^1220+ 23823294802*p^99*q^1222+276405125540*p^97*q^1224+2831932587318*p^95*q^1226+ 20355630193837*p^93*q^1228+63825620946320*p^91*q^1230+54726242118968*p^89*q^ 1232+14051063164716*p^87*q^1234+1789888815136*p^85*q^1236+171780068150*p^83*q^ 1238+14350494350*p^81*q^1240+1069043464*p^79*q^1242+73848579*p^77*q^1244+ 2121012*p^75*q^1246+223870*p^73*q^1248+968*p^71*q^1250+128*p^112*q^1208+296*p^ 110*q^1210+33010*p^108*q^1212+1889212*p^106*q^1214+23239655*p^104*q^1216+ 453703154*p^102*q^1218+6337498850*p^100*q^1220+77245418640*p^98*q^1222+ 854501776750*p^96*q^1224+7754609934146*p^94*q^1226+40283271159368*p^92*q^1228+ 70647754688218*p^90*q^1230+32424701938023*p^88*q^1232+5581050806134*p^86*q^1234 +599877127634*p^84*q^1236+53508856160*p^82*q^1238+4285713585*p^80*q^1240+ 290870518*p^78*q^1242+15878272*p^76*q^1244+723782*p^74*q^1246+19780*p^72*q^1248 +48*p^70*q^1250+134*p^111*q^1208+232*p^109*q^1210+251514*p^107*q^1212+5557668*p ^105*q^1214+108742436*p^103*q^1216+1561398416*p^101*q^1218+21051484471*p^99*q^ 1220+245819259498*p^97*q^1222+2535936594639*p^95*q^1224+18824774106646*p^93*q^ 1226+62033052400791*p^91*q^1228+57193116733844*p^89*q^1230+15332285040618*p^87* q^1232+2002144408774*p^85*q^1234+193117207581*p^83*q^1236+16175995226*p^81*q^ 1238+1225098955*p^79*q^1240+83662652*p^77*q^1242+2604336*p^75*q^1244+244252*p^ 73*q^1246+1080*p^71*q^1248+8*p^112*q^1206+32*p^110*q^1208+16372*p^108*q^1210+ 1810504*p^106*q^1212+18359296*p^104*q^1214+405265820*p^102*q^1216+5576254448*p^ 100*q^1218+68388658562*p^98*q^1220+763984881952*p^96*q^1222+7014620016377*p^94* q^1224+38119503657742*p^92*q^1226+70882793339211*p^90*q^1228+34796725074942*p^ 88*q^1230+6170159107213*p^86*q^1232+675424952722*p^84*q^1234+60422959042*p^82*q ^1236+4872093356*p^80*q^1238+331977678*p^78*q^1240+20432844*p^76*q^1242+565926* p^74*q^1244+44896*p^72*q^1246+128*p^70*q^1248+884*p^111*q^1206+1886*p^109*q^ 1208+215796*p^107*q^1210+5528502*p^105*q^1212+93944158*p^103*q^1214+1382308872* p^101*q^1216+18684527374*p^99*q^1218+218328467415*p^97*q^1220+2279103038636*p^ 95*q^1222+17273853684791*p^93*q^1224+60400578632826*p^91*q^1226+59259934943275* p^89*q^1228+16791913169762*p^87*q^1230+2234752669163*p^85*q^1232+218109756434*p ^83*q^1234+18350059585*p^81*q^1236+1414697280*p^79*q^1238+95053859*p^77*q^1240+ 3460616*p^75*q^1242+288182*p^73*q^1244+1764*p^71*q^1246+8*p^112*q^1204+350*p^ 110*q^1206+6004*p^108*q^1208+1314584*p^106*q^1210+16141276*p^104*q^1212+ 353881190*p^102*q^1214+4844587143*p^100*q^1216+60551026298*p^98*q^1218+ 678652726030*p^96*q^1220+6358839774830*p^94*q^1222+35755697222912*p^92*q^1224+ 71333932523940*p^90*q^1226+37072081887004*p^88*q^1228+6847540799812*p^86*q^1230 +756536739587*p^84*q^1232+68241967034*p^82*q^1234+5479916770*p^80*q^1236+ 379618368*p^78*q^1238+24280932*p^76*q^1240+498896*p^74*q^1242+54588*p^72*q^1244 +36*p^70*q^1246+316*p^111*q^1204+1008*p^109*q^1206+145228*p^107*q^1208+5528610* p^105*q^1210+75055452*p^103*q^1212+1219957044*p^101*q^1214+16477279631*p^99*q^ 1216+194063445156*p^97*q^1218+2037686153523*p^95*q^1220+15916264368792*p^93*q^ 1222+58295410125806*p^91*q^1224+61569732863354*p^89*q^1226+18256861342170*p^87* q^1228+2497782518188*p^85*q^1230+244958491679*p^83*q^1232+20734865658*p^81*q^ 1234+1611746718*p^79*q^1236+103816898*p^77*q^1238+4548962*p^75*q^1240+221640*p^ 73*q^1242+6140*p^71*q^1244+8*p^69*q^1246+3346*p^110*q^1204+7714*p^108*q^1206+ 1037894*p^106*q^1208+15191166*p^104*q^1210+316055786*p^102*q^1212+4259004500*p^ 100*q^1214+53706600272*p^98*q^1216+606129630694*p^96*q^1218+5738627799843*p^94* q^1220+33649615730676*p^92*q^1222+71063710813130*p^90*q^1224+39581298336458*p^ 88*q^1226+7555633492110*p^86*q^1228+850485044026*p^84*q^1230+77046863287*p^82*q ^1232+6224329808*p^80*q^1234+441023394*p^78*q^1236+29566190*p^76*q^1238+651078* p^74*q^1240+80546*p^72*q^1242+80*p^70*q^1244+136*p^111*q^1202+564*p^109*q^1204+ 74908*p^107*q^1206+5075500*p^105*q^1208+61752366*p^103*q^1210+1076888725*p^101* q^1212+14569514058*p^99*q^1214+171957643746*p^97*q^1216+1828404567672*p^95*q^ 1218+14550426265289*p^93*q^1220+56406707571274*p^91*q^1222+63352933039063*p^89* q^1224+19931654776730*p^87*q^1226+2782743612729*p^85*q^1228+276687465502*p^83*q ^1230+23520541575*p^81*q^1232+1836250120*p^79*q^1234+118089034*p^77*q^1236+ 5988486*p^75*q^1238+138278*p^73*q^1240+9524*p^71*q^1242+3226*p^110*q^1202+10300 *p^108*q^1204+861488*p^106*q^1206+14891114*p^104*q^1208+271646000*p^102*q^1210+ 3734160178*p^100*q^1212+47554385322*p^98*q^1214+538559471013*p^96*q^1216+ 5189377272486*p^94*q^1218+31401194326944*p^92*q^1220+71019168510256*p^90*q^1222 +41940114358667*p^88*q^1224+8365173845954*p^86*q^1226+952240597189*p^84*q^1228+ 86965652450*p^82*q^1230+7002650607*p^80*q^1232+512367012*p^78*q^1234+33123296*p ^76*q^1236+805590*p^74*q^1238+92962*p^72*q^1240+496*p^70*q^1242+32*p^111*q^1200 +7438*p^109*q^1202+41424*p^107*q^1204+4067606*p^105*q^1206+50362638*p^103*q^ 1208+958388524*p^101*q^1210+12766152784*p^99*q^1212+152727578126*p^97*q^1214+ 1631815960833*p^95*q^1216+13349175995894*p^93*q^1218+54102027288296*p^91*q^1220 +65413408645920*p^89*q^1222+21584332374213*p^87*q^1224+3107584326312*p^85*q^ 1226+310566949756*p^83*q^1228+26616639276*p^81*q^1230+2080906472*p^79*q^1232+ 132093384*p^77*q^1234+7516178*p^75*q^1236+115196*p^73*q^1238+12544*p^71*q^1240+ 1368*p^110*q^1200+2636*p^108*q^1202+567342*p^106*q^1204+14800642*p^104*q^1206+ 231839167*p^102*q^1208+3273659414*p^100*q^1210+42185076568*p^98*q^1212+ 480607877344*p^96*q^1214+4673820713120*p^94*q^1216+29401782387732*p^92*q^1218+ 70269043495311*p^90*q^1220+44542153684580*p^88*q^1222+9203823945800*p^86*q^1224 +1069309395718*p^84*q^1226+98029274298*p^82*q^1228+7927162210*p^80*q^1230+ 589622226*p^78*q^1232+37232042*p^76*q^1234+1250310*p^74*q^1236+56040*p^72*q^ 1238+1420*p^70*q^1240+15170*p^109*q^1200+58880*p^107*q^1202+3717308*p^105*q^ 1204+45408874*p^103*q^1206+856338194*p^101*q^1208+11309582086*p^99*q^1210+ 135425099046*p^97*q^1212+1462034122122*p^95*q^1214+12164798382099*p^93*q^1216+ 51984622440542*p^91*q^1218+66872345126459*p^89*q^1220+23472753526860*p^87*q^ 1222+3457808795279*p^85*q^1224+350763208798*p^83*q^1226+30198867706*p^81*q^1228 +2383008098*p^79*q^1230+155967245*p^77*q^1232+9749718*p^75*q^1234+120736*p^73*q ^1236+27528*p^71*q^1238+16*p^69*q^1240+808*p^110*q^1198+11072*p^108*q^1200+ 332904*p^106*q^1202+13134926*p^104*q^1204+189426222*p^102*q^1206+2867859070*p^ 100*q^1208+37235345942*p^98*q^1210+426226565630*p^96*q^1212+4216615790558*p^94* q^1214+27302607905441*p^92*q^1216+69731884447490*p^90*q^1218+46938922112033*p^ 88*q^1220+10167923321674*p^86*q^1222+1195827642384*p^84*q^1224+110571068158*p^ 82*q^1226+8957318849*p^80*q^1228+669756516*p^78*q^1230+40467752*p^76*q^1232+ 1480804*p^74*q^1234+30806*p^72*q^1236+908*p^70*q^1238+8*p^111*q^1196+9764*p^109 *q^1198+29216*p^107*q^1200+2909038*p^105*q^1202+41486506*p^103*q^1204+754773686 *p^101*q^1206+9911946742*p^99*q^1208+120282480852*p^97*q^1210+1303843578729*p^ 95*q^1212+11123647972416*p^93*q^1214+49569217327629*p^91*q^1216+68551050483708* p^89*q^1218+25316436471274*p^87*q^1220+3853840255650*p^85*q^1222+393272027806*p ^83*q^1224+34120920254*p^81*q^1226+2658508677*p^79*q^1228+180814086*p^77*q^1230 +11161874*p^75*q^1232+211438*p^73*q^1234+21184*p^71*q^1236+152*p^69*q^1238+48*p ^110*q^1196+38548*p^108*q^1198+277936*p^106*q^1200+12434192*p^104*q^1202+ 159790394*p^102*q^1204+2555028380*p^100*q^1206+32986414149*p^98*q^1208+ 380177687870*p^96*q^1210+3788757592452*p^94*q^1212+25439097683668*p^92*q^1214+ 68530996586199*p^90*q^1216+49567314453072*p^88*q^1218+11159730252915*p^86*q^ 1220+1342943511542*p^84*q^1222+124900114153*p^82*q^1224+10202193264*p^80*q^1226 +786030941*p^78*q^1228+46544946*p^76*q^1230+2254338*p^74*q^1232+17312*p^72*q^ 1234+4760*p^70*q^1236+7780*p^109*q^1196+24788*p^107*q^1198+2125864*p^105*q^1200 +38055306*p^103*q^1202+656425884*p^101*q^1204+8710232544*p^99*q^1206+ 106557957838*p^97*q^1208+1166686702224*p^95*q^1210+10100647012105*p^93*q^1212+ 47350203475408*p^91*q^1214+69624168673357*p^89*q^1216+27403745886850*p^87*q^ 1218+4279629974866*p^85*q^1220+443346602468*p^83*q^1222+38510984996*p^81*q^1224 +3006249536*p^79*q^1226+205316528*p^77*q^1228+12526214*p^75*q^1230+257884*p^73* q^1232+12556*p^71*q^1234+24*p^69*q^1236+176*p^110*q^1194+42720*p^108*q^1196+ 217948*p^106*q^1198+11022956*p^104*q^1200+137674456*p^102*q^1202+2259636753*p^ 100*q^1204+29176938430*p^98*q^1206+337200719712*p^96*q^1208+3412134420766*p^94* q^1210+23509927244380*p^92*q^1212+67534904781968*p^90*q^1214+51933989254030*p^ 88*q^1216+12291153893136*p^86*q^1218+1500674218124*p^84*q^1220+140972712290*p^ 82*q^1222+11588468065*p^80*q^1224+894256140*p^78*q^1226+54524458*p^76*q^1228+ 2913678*p^74*q^1230+25390*p^72*q^1232+6008*p^70*q^1234+8*p^68*q^1236+2064*p^109 *q^1194+62126*p^107*q^1196+1453034*p^105*q^1198+35395812*p^103*q^1200+555079398 *p^101*q^1202+7630910245*p^99*q^1204+94452798060*p^97*q^1206+1038653441482*p^95 *q^1208+9207661673694*p^93*q^1210+44854730255167*p^91*q^1212+70912777186496*p^ 89*q^1214+29433060740189*p^87*q^1216+4763472933588*p^85*q^1218+497064173892*p^ 83*q^1220+43497237560*p^81*q^1222+3374502097*p^79*q^1224+239211304*p^77*q^1226+ 13565677*p^75*q^1228+362108*p^73*q^1230+3712*p^71*q^1232+392*p^69*q^1234+24*p^ 110*q^1192+42094*p^108*q^1194+136314*p^106*q^1196+9378664*p^104*q^1198+ 119171596*p^102*q^1200+2022262608*p^100*q^1202+25795433730*p^98*q^1204+ 300557091524*p^96*q^1206+3061120046840*p^94*q^1208+21812769984170*p^92*q^1210+ 65910105073920*p^90*q^1212+54519784263548*p^88*q^1214+13449580426036*p^86*q^ 1216+1682162106320*p^84*q^1218+158776100114*p^82*q^1220+13173325440*p^80*q^1222 +1013005346*p^78*q^1224+61448418*p^76*q^1226+3600578*p^74*q^1228+46420*p^72*q^ 1230+3948*p^70*q^1232+1786*p^109*q^1192+109392*p^107*q^1194+1200626*p^105*q^ 1196+33688906*p^103*q^1198+480098129*p^101*q^1200+6744601152*p^99*q^1202+ 83705743956*p^97*q^1204+928636253260*p^95*q^1206+8338268970728*p^93*q^1208+ 42601548569438*p^91*q^1210+71485277313701*p^89*q^1212+31722030289814*p^87*q^ 1214+5280515042627*p^85*q^1216+560373290976*p^83*q^1218+49267169660*p^81*q^1220 +3846011444*p^79*q^1222+285430135*p^77*q^1224+16682588*p^75*q^1226+595138*p^73* q^1228+1776*p^71*q^1230+1184*p^69*q^1232+23668*p^108*q^1192+133670*p^106*q^1194 +7213066*p^104*q^1196+104160428*p^102*q^1198+1764015188*p^100*q^1200+ 22715944948*p^98*q^1202+266199109749*p^96*q^1204+2750171152456*p^94*q^1206+ 20068799905486*p^92*q^1208+64526466374728*p^90*q^1210+56760422989860*p^88*q^ 1212+14770514125762*p^86*q^1214+1877709610905*p^84*q^1216+179135569650*p^82*q^ 1218+14848176892*p^80*q^1220+1134868498*p^78*q^1222+69179754*p^76*q^1224+ 3675738*p^74*q^1226+40114*p^72*q^1228+1548*p^70*q^1230+8*p^68*q^1232+730*p^109* q^1190+141688*p^107*q^1192+816958*p^105*q^1194+30778682*p^103*q^1196+408015804* p^101*q^1198+5952545289*p^99*q^1200+74219268154*p^97*q^1202+826385562184*p^95*q ^1204+7577435214184*p^93*q^1206+40143978339502*p^91*q^1208+72321012148802*p^89* q^1210+33895846240520*p^87*q^1212+5865974557190*p^85*q^1214+627887251357*p^83*q ^1216+55580493696*p^81*q^1218+4365892032*p^79*q^1220+329446128*p^77*q^1222+ 18382320*p^75*q^1224+862638*p^73*q^1226+7056*p^71*q^1228+736*p^69*q^1230+13174* p^108*q^1190+190288*p^106*q^1192+5595084*p^104*q^1194+95898318*p^102*q^1196+ 1551044222*p^100*q^1198+20036675772*p^98*q^1200+237188718580*p^96*q^1202+ 2462739887044*p^94*q^1204+18535530177120*p^92*q^1206+62552878437799*p^90*q^1208 +59238599913802*p^88*q^1210+16103518987084*p^86*q^1212+2103707731258*p^84*q^ 1214+201707573197*p^82*q^1216+16902816808*p^80*q^1218+1275311523*p^78*q^1220+ 82627210*p^76*q^1222+4728582*p^74*q^1224+86594*p^72*q^1226+52*p^70*q^1228+144*p ^68*q^1230+94*p^109*q^1188+129868*p^107*q^1190+659028*p^105*q^1192+27713562*p^ 103*q^1194+349513680*p^101*q^1196+5287716732*p^99*q^1198+65776452540*p^97*q^ 1200+737851224444*p^95*q^1202+6845768799070*p^93*q^1204+37895556234056*p^91*q^ 1206+72430518632370*p^89*q^1208+36355518610720*p^87*q^1210+6488461982646*p^85*q ^1212+706881493128*p^83*q^1214+62857372286*p^81*q^1216+4969977184*p^79*q^1218+ 381166238*p^77*q^1220+20633934*p^75*q^1222+953298*p^73*q^1224+4856*p^71*q^1226+ 544*p^69*q^1228+16*p^110*q^1186+9658*p^108*q^1188+311314*p^106*q^1190+4289886*p ^104*q^1192+87893648*p^102*q^1194+1345336410*p^100*q^1196+17644467442*p^98*q^ 1198+209862718986*p^96*q^1200+2209851634080*p^94*q^1202+16986784640272*p^92*q^ 1204+60808181406142*p^90*q^1206+61281799447702*p^88*q^1208+17630296767050*p^86* q^1210+2344572030709*p^84*q^1212+227615789946*p^82*q^1214+19089595498*p^80*q^ 1216+1439767474*p^78*q^1218+97521263*p^76*q^1220+5521652*p^74*q^1222+147194*p^ 72*q^1224+628*p^70*q^1226+76*p^68*q^1228+64*p^109*q^1186+80558*p^107*q^1188+ 469838*p^105*q^1190+22427018*p^103*q^1192+299075116*p^101*q^1194+4656759107*p^ 99*q^1196+58193156662*p^97*q^1198+656031003385*p^95*q^1200+6204046474082*p^93*q ^1202+35519351280298*p^91*q^1204+72740771885860*p^89*q^1206+38668081201504*p^87 *q^1208+7193096469340*p^85*q^1210+791280759790*p^83*q^1212+70903597994*p^81*q^ 1214+5626857033*p^79*q^1216+425672680*p^77*q^1218+22844238*p^75*q^1220+1074334* p^73*q^1222+7826*p^71*q^1224+8*p^67*q^1228+2446*p^108*q^1186+408520*p^106*q^ 1188+3399596*p^104*q^1190+83393854*p^102*q^1192+1171656870*p^100*q^1194+ 15593240279*p^98*q^1196+186894388802*p^96*q^1198+1976139383538*p^94*q^1200+ 15630714566114*p^92*q^1202+58579673753457*p^90*q^1204+63525270182746*p^88*q^ 1206+19151505664204*p^86*q^1208+2623087574188*p^84*q^1210+256223146609*p^82*q^ 1212+21658314824*p^80*q^1214+1630076726*p^78*q^1216+119682006*p^76*q^1218+ 6261152*p^74*q^1220+231450*p^72*q^1222+904*p^70*q^1224+104*p^68*q^1226+240*p^ 109*q^1184+69892*p^107*q^1186+594488*p^105*q^1188+18573180*p^103*q^1190+ 264358921*p^101*q^1192+4130072806*p^99*q^1194+51497019872*p^97*q^1196+ 585424985240*p^95*q^1198+5588939628483*p^93*q^1200+33357502238634*p^91*q^1202+ 72345604362984*p^89*q^1204+41249618820860*p^87*q^1206+7940336378271*p^85*q^1208 +890830804278*p^83*q^1210+80131368336*p^81*q^1212+6439374230*p^79*q^1214+ 486241152*p^77*q^1216+26260780*p^75*q^1218+1503398*p^73*q^1220+15878*p^71*q^ 1222+20*p^69*q^1224+4*p^67*q^1226+1460*p^108*q^1184+343800*p^106*q^1186+2369014 *p^104*q^1188+74782910*p^102*q^1190+999574790*p^100*q^1192+13742311722*p^98*q^ 1194+165386707092*p^96*q^1196+1769712064708*p^94*q^1198+14271368777895*p^92*q^ 1200+56582885925514*p^90*q^1202+65306138314704*p^88*q^1204+20880818235784*p^86* q^1206+2919586858752*p^84*q^1208+288528342106*p^82*q^1210+24419206883*p^80*q^ 1212+1835290370*p^78*q^1214+136439800*p^76*q^1216+6826886*p^74*q^1218+207162*p^ 72*q^1220+326*p^70*q^1222+36*p^109*q^1182+30320*p^107*q^1184+857066*p^105*q^ 1186+14976970*p^103*q^1188+236894556*p^101*q^1190+3625331051*p^99*q^1192+ 45569117128*p^97*q^1194+519787271631*p^95*q^1196+5055181613746*p^93*q^1198+ 31088928819444*p^91*q^1200+72168139141684*p^89*q^1202+43633252367117*p^87*q^ 1204+8782530708482*p^85*q^1206+996648426358*p^83*q^1208+90563131582*p^81*q^1210 +7296732694*p^79*q^1212+542903812*p^77*q^1214+32882166*p^75*q^1216+1733868*p^73 *q^1218+40610*p^71*q^1220+128*p^69*q^1222+8*p^67*q^1224+1638*p^108*q^1182+ 325756*p^106*q^1184+1851952*p^104*q^1186+65380872*p^102*q^1188+864146576*p^100* q^1190+12173492991*p^98*q^1192+147042134644*p^96*q^1194+1580938521536*p^94*q^ 1196+13081702138608*p^92*q^1198+54156970750906*p^90*q^1200+67271589797596*p^88* q^1202+22601803172237*p^86*q^1204+3261071190830*p^84*q^1206+324534744941*p^82*q ^1208+27669369844*p^80*q^1210+2096946584*p^78*q^1212+159580106*p^76*q^1214+ 7054768*p^74*q^1216+317546*p^72*q^1218+1030*p^70*q^1220+18022*p^107*q^1182+ 957994*p^105*q^1184+11885552*p^103*q^1186+218952245*p^101*q^1188+3192494230*p^ 99*q^1190+40245202464*p^97*q^1192+463731525682*p^95*q^1194+4544298784469*p^93*q ^1196+29058917375380*p^91*q^1198+71248881946905*p^89*q^1200+46298090990960*p^87 *q^1202+9666015859990*p^85*q^1204+1120460254114*p^83*q^1206+102273966950*p^81*q ^1208+8308269642*p^79*q^1210+607564594*p^77*q^1212+40442600*p^75*q^1214+2157040 *p^73*q^1216+44498*p^71*q^1218+4*p^112*q^1176+1136*p^108*q^1180+217038*p^106*q^ 1182+1955096*p^104*q^1184+55828806*p^102*q^1186+744538336*p^100*q^1188+ 10745307024*p^98*q^1190+130147056737*p^96*q^1192+1413998446720*p^94*q^1194+ 11902988218261*p^92*q^1196+51977073748832*p^90*q^1198+68672473268967*p^88*q^ 1200+24551851747976*p^86*q^1202+3625334538489*p^84*q^1204+365768272676*p^82*q^ 1206+31232009171*p^80*q^1208+2388925912*p^78*q^1210+183723098*p^76*q^1212+ 8066330*p^74*q^1214+391510*p^72*q^1216+3780*p^70*q^1218+8*p^68*q^1220+10836*p^ 107*q^1180+1033286*p^105*q^1182+8486824*p^103*q^1184+197380716*p^101*q^1186+ 2767615090*p^99*q^1188+35561488972*p^97*q^1190+411275568102*p^95*q^1192+ 4099057966242*p^93*q^1194+26956102357073*p^91*q^1196+70602218131934*p^89*q^1198 +48690119415949*p^87*q^1200+10664267436894*p^85*q^1202+1252259514263*p^83*q^ 1204+115334739894*p^81*q^1206+9371139291*p^79*q^1208+679128036*p^77*q^1210+ 46892424*p^75*q^1212+2070448*p^73*q^1214+48264*p^71*q^1216+28*p^69*q^1218+100*p ^108*q^1178+137022*p^106*q^1180+2055830*p^104*q^1182+47803266*p^102*q^1184+ 656305524*p^100*q^1186+9524721493*p^98*q^1188+115740334630*p^96*q^1190+ 1261808125899*p^94*q^1192+10876444535168*p^92*q^1194+49449218662880*p^90*q^1196 +70269636668542*p^88*q^1198+26450501692048*p^86*q^1200+4043858486232*p^84*q^ 1202+410923480842*p^82*q^1204+35430170488*p^80*q^1206+2743074759*p^78*q^1208+ 205826270*p^76*q^1210+10631544*p^74*q^1212+594556*p^72*q^1214+9108*p^70*q^1216+ 60*p^111*q^1174+11128*p^107*q^1178+955320*p^105*q^1180+7376574*p^103*q^1182+ 178202096*p^101*q^1184+2418631816*p^99*q^1186+31459155105*p^97*q^1188+ 366331402200*p^95*q^1190+3678976686120*p^93*q^1192+25063044650076*p^91*q^1194+ 69232852680565*p^89*q^1196+51374800500882*p^87*q^1198+11704528617229*p^85*q^ 1200+1406623178560*p^83*q^1202+130243796809*p^81*q^1204+10665588606*p^79*q^1206 +767327308*p^77*q^1208+58741466*p^75*q^1210+2115592*p^73*q^1212+67768*p^71*q^ 1214+128*p^69*q^1216+80*p^108*q^1176+86976*p^106*q^1178+2402742*p^104*q^1180+ 37260140*p^102*q^1182+581347707*p^100*q^1184+8389497660*p^98*q^1186+ 102206800128*p^96*q^1188+1127466380326*p^94*q^1190+9864528312785*p^92*q^1192+ 47161316437006*p^90*q^1194+71254912190742*p^88*q^1196+28612497539142*p^86*q^ 1198+4486959548948*p^84*q^1200+462755394546*p^82*q^1202+39970185442*p^80*q^1204 +3113610802*p^78*q^1206+229826352*p^76*q^1208+12145976*p^74*q^1210+625140*p^72* q^1212+6056*p^70*q^1214+8*p^111*q^1172+4*p^109*q^1174+3442*p^107*q^1176+701498* p^105*q^1178+5880770*p^103*q^1180+157766312*p^101*q^1182+2086625091*p^99*q^1184 +27786796900*p^97*q^1186+324977400773*p^95*q^1188+3311694939838*p^93*q^1190+ 23151696973763*p^91*q^1192+68107618242530*p^89*q^1194+53714119707710*p^87*q^ 1196+12876853591504*p^85*q^1198+1569884707650*p^83*q^1200+146887961314*p^81*q^ 1202+12014110245*p^79*q^1204+871597366*p^77*q^1206+66791072*p^75*q^1208+2493460 *p^73*q^1210+118852*p^71*q^1212+1108*p^69*q^1214+368*p^110*q^1172+65664*p^106*q ^1176+2755012*p^104*q^1178+30748806*p^102*q^1180+526035802*p^100*q^1182+ 7408875311*p^98*q^1184+90904575274*p^96*q^1186+1004776694853*p^94*q^1188+ 8986255965576*p^92*q^1190+44611252792842*p^90*q^1192+72394083296462*p^88*q^1194 +30691414131134*p^86*q^1196+4996172157240*p^84*q^1198+520086601436*p^82*q^1200+ 45322598372*p^80*q^1202+3562686126*p^78*q^1204+255911320*p^76*q^1206+16239636*p ^74*q^1208+626500*p^72*q^1210+9020*p^70*q^1212+1800*p^107*q^1174+544992*p^105*q ^1176+5635818*p^103*q^1178+136484694*p^101*q^1180+1819421064*p^99*q^1182+ 24585049768*p^97*q^1184+289201428096*p^95*q^1186+2966167596787*p^93*q^1188+ 21431429996124*p^91*q^1190+66349646217646*p^89*q^1192+56322235073104*p^87*q^ 1194+14087469057006*p^85*q^1196+1762148936476*p^83*q^1198+165495102372*p^81*q^ 1200+13654334726*p^79*q^1202+1001647736*p^77*q^1204+78027318*p^75*q^1206+ 2837648*p^73*q^1208+170782*p^71*q^1210+916*p^69*q^1212+216*p^110*q^1170+68*p^ 108*q^1172+43648*p^106*q^1174+2491554*p^104*q^1176+24680560*p^102*q^1178+ 470240756*p^100*q^1180+6497815444*p^98*q^1182+80262750037*p^96*q^1184+ 896888538734*p^94*q^1186+8126632320193*p^92*q^1188+42303454736832*p^90*q^1190+ 72917190964324*p^88*q^1192+33032822632380*p^86*q^1194+5533996934316*p^84*q^1196 +584935151462*p^82*q^1198+51201330451*p^80*q^1200+4036288196*p^78*q^1202+ 280636084*p^76*q^1204+19766946*p^74*q^1206+642348*p^72*q^1208+14502*p^70*q^1210 +52*p^68*q^1212+1188*p^109*q^1170+244*p^107*q^1172+346004*p^105*q^1174+6245028* p^103*q^1176+114003896*p^101*q^1178+1589653720*p^99*q^1180+21746325544*p^97*q^ 1182+256362549883*p^95*q^1184+2666013573888*p^93*q^1186+19703397302200*p^91*q^ 1188+64834347492214*p^89*q^1190+58535600978664*p^87*q^1192+15450630765264*p^85* q^1194+1964663556505*p^83*q^1196+186741687914*p^81*q^1198+15392337505*p^79*q^ 1200+1143434124*p^77*q^1202+88108600*p^75*q^1204+3645444*p^73*q^1206+163184*p^ 71*q^1208+856*p^69*q^1210+12*p^110*q^1168+16*p^108*q^1170+21162*p^106*q^1172+ 2278654*p^104*q^1174+19395138*p^102*q^1176+423607516*p^100*q^1178+5687586088*p^ 98*q^1180+71205249274*p^96*q^1182+798370513465*p^94*q^1184+7382743548164*p^92*q ^1186+39779570837717*p^90*q^1188+73592391571634*p^88*q^1190+35268576579490*p^86 *q^1192+6147490850082*p^84*q^1194+656468887858*p^82*q^1196+57977886848*p^80*q^ 1198+4589819416*p^78*q^1200+316787194*p^76*q^1202+23849660*p^74*q^1204+626874*p ^72*q^1206+37322*p^70*q^1208+128*p^68*q^1210+1860*p^109*q^1168+620*p^107*q^1170 +297588*p^105*q^1172+6570136*p^103*q^1174+97749890*p^101*q^1176+1414224926*p^99 *q^1178+19262411712*p^97*q^1180+228292152908*p^95*q^1182+2385264230735*p^93*q^ 1184+18169859768182*p^91*q^1186+62717942799634*p^89*q^1188+60995076339274*p^87* q^1190+16845685489536*p^85*q^1192+2202273233422*p^83*q^1194+210474822923*p^81*q ^1196+17510864112*p^79*q^1198+1320099433*p^77*q^1200+98146842*p^75*q^1202+ 5184635*p^73*q^1204+200282*p^71*q^1206+852*p^69*q^1208+8*p^110*q^1166+2160*p^ 108*q^1168+8520*p^106*q^1170+1666748*p^104*q^1172+17238604*p^102*q^1174+ 370415898*p^100*q^1176+4953148846*p^98*q^1178+62822262619*p^96*q^1180+ 711478600900*p^94*q^1182+6657073390738*p^92*q^1184+37514975779984*p^90*q^1186+ 73569393396653*p^88*q^1188+37786555990750*p^86*q^1190+6795673056484*p^84*q^1192 +738301010398*p^82*q^1194+65364284317*p^80*q^1196+5189498570*p^78*q^1198+ 356967806*p^76*q^1200+28461488*p^74*q^1202+660304*p^72*q^1204+33868*p^70*q^1206 +40*p^68*q^1208+436*p^109*q^1166+504*p^107*q^1168+178136*p^105*q^1170+6681400*p ^103*q^1172+77885218*p^101*q^1174+1249412206*p^99*q^1176+16998152262*p^97*q^ 1178+202198071621*p^95*q^1180+2139949508508*p^93*q^1182+16645298768994*p^91*q^ 1184+60894955191014*p^89*q^1186+62976061191782*p^87*q^1188+18409517134436*p^85* q^1190+2453055422333*p^83*q^1192+237082167438*p^81*q^1194+19753917502*p^79*q^ 1196+1502391252*p^77*q^1198+105605852*p^75*q^1200+6234566*p^73*q^1202+153836*p^ 71*q^1204+5528*p^69*q^1206+8*p^67*q^1208+7600*p^108*q^1166+4420*p^106*q^1168+ 1393684*p^104*q^1170+16433854*p^102*q^1172+328311494*p^100*q^1174+4350225277*p^ 98*q^1176+55844410944*p^96*q^1178+633038865901*p^94*q^1180+6031818785420*p^92*q ^1182+35090966938599*p^90*q^1184+73752179325096*p^88*q^1186+40109849336679*p^86 *q^1188+7536236089060*p^84*q^1190+827459978281*p^82*q^1192+74092721262*p^80*q^ 1194+5898051685*p^78*q^1196+412434474*p^76*q^1198+33688760*p^74*q^1200+1115930* p^72*q^1202+51954*p^70*q^1204+18*p^68*q^1206+216*p^109*q^1164+2236*p^107*q^1166 +103770*p^105*q^1168+6059210*p^103*q^1170+64775656*p^101*q^1172+1113219800*p^99 *q^1174+14990279814*p^97*q^1176+179684826596*p^95*q^1178+1911661794672*p^93*q^ 1180+15283909491520*p^91*q^1182+58540547089594*p^89*q^1184+65210065094960*p^87* q^1186+19997482231185*p^85*q^1188+2745239241298*p^83*q^1190+267238169526*p^81*q ^1192+22455608516*p^79*q^1194+1718592748*p^77*q^1196+116143340*p^75*q^1198+ 8129934*p^73*q^1200+111794*p^71*q^1202+6412*p^69*q^1204+4676*p^108*q^1164+6188* p^106*q^1166+1063994*p^104*q^1168+16659186*p^102*q^1170+279973998*p^100*q^1172+ 3815191016*p^98*q^1174+49285508316*p^96*q^1176+564096327192*p^94*q^1178+ 5427865161961*p^92*q^1180+32905674207720*p^90*q^1182+73228005614285*p^88*q^1184 +42755555099024*p^86*q^1186+8305633936415*p^84*q^1188+930316973536*p^82*q^1190+ 83406371011*p^80*q^1192+6660749376*p^78*q^1194+472657366*p^76*q^1196+38116898*p ^74*q^1198+1394762*p^72*q^1200+46242*p^70*q^1202+420*p^68*q^1204+28*p^109*q^ 1162+16700*p^107*q^1164+43072*p^105*q^1166+5129328*p^103*q^1168+52881384*p^101* q^1170+989958836*p^99*q^1172+13156620876*p^97*q^1174+159037088950*p^95*q^1176+ 1712206029924*p^93*q^1178+13949540493828*p^91*q^1180+56452612104564*p^89*q^1182 +66903559252301*p^87*q^1184+21776588598252*p^85*q^1186+3054022631824*p^83*q^ 1188+300922713730*p^81*q^1190+25400491252*p^79*q^1192+1955361862*p^77*q^1194+ 127856400*p^75*q^1196+9717344*p^73*q^1198+177264*p^71*q^1200+8486*p^69*q^1202+ 2424*p^108*q^1162+2780*p^106*q^1164+728564*p^104*q^1166+16661918*p^102*q^1168+ 239296118*p^100*q^1170+3354161963*p^98*q^1172+43792154280*p^96*q^1174+ 501643085670*p^94*q^1176+4907301490024*p^92*q^1178+30636236396325*p^90*q^1180+ 72865970715742*p^88*q^1182+45148350415907*p^86*q^1184+9186841185758*p^84*q^1186 +1041343844326*p^82*q^1188+94401508134*p^80*q^1190+7528312832*p^78*q^1192+ 545574980*p^76*q^1194+41002208*p^74*q^1196+2019464*p^72*q^1198+23718*p^70*q^ 1200+1152*p^68*q^1202+22360*p^107*q^1162+47456*p^105*q^1164+4550858*p^103*q^ 1166+47918802*p^101*q^1168+883529132*p^99*q^1170+11606958918*p^97*q^1172+ 141355778118*p^95*q^1174+1527193960927*p^93*q^1176+12765788731532*p^91*q^1178+ 53924678204942*p^89*q^1180+68798375118068*p^87*q^1182+23560017843177*p^85*q^ 1184+3414217378056*p^83*q^1186+338919133413*p^81*q^1188+28871321230*p^79*q^1190 +2245411184*p^77*q^1192+146265270*p^75*q^1194+12693584*p^73*q^1196+261564*p^71* q^1198+12430*p^69*q^1200+8*p^67*q^1202+948*p^108*q^1160+21136*p^106*q^1162+ 412888*p^104*q^1164+15299212*p^102*q^1166+196469160*p^100*q^1168+2947247564*p^ 98*q^1170+38573132522*p^96*q^1172+446186949274*p^94*q^1174+4406268886550*p^92*q ^1176+28587286878270*p^90*q^1178+71872359861124*p^88*q^1180+47839333493564*p^86 *q^1182+10103306114955*p^84*q^1184+1169297186852*p^82*q^1186+106249864533*p^80* q^1188+8534767502*p^78*q^1190+620340274*p^76*q^1192+43483506*p^74*q^1194+ 2348156*p^72*q^1196+21258*p^70*q^1198+738*p^68*q^1200+12*p^109*q^1158+15804*p^ 107*q^1160+24232*p^105*q^1162+3545720*p^103*q^1164+44612370*p^101*q^1166+ 774050060*p^99*q^1168+10204628094*p^97*q^1170+125106244375*p^95*q^1172+ 1367034348488*p^93*q^1174+11609272364631*p^91*q^1176+51686837645404*p^89*q^1178 +70105129098803*p^87*q^1180+25546110983426*p^85*q^1182+3791046591599*p^83*q^ 1184+381479885752*p^81*q^1186+32602799328*p^79*q^1188+2516863938*p^77*q^1190+ 166395714*p^75*q^1192+14644274*p^73*q^1194+409306*p^71*q^1196+5978*p^69*q^1198+ 144*p^67*q^1200+52*p^108*q^1158+55608*p^106*q^1160+296026*p^104*q^1162+14648388 *p^102*q^1164+165125212*p^100*q^1166+2626473765*p^98*q^1168+34184008758*p^96*q^ 1170+396513620240*p^94*q^1172+3974317669400*p^92*q^1174+26480374682395*p^90*q^ 1176+71039345327470*p^88*q^1178+50244024832360*p^86*q^1180+11143015490142*p^84* q^1182+1308655901471*p^82*q^1184+120333034790*p^80*q^1186+9695211468*p^78*q^ 1188+730109000*p^76*q^1190+47580936*p^74*q^1192+3258568*p^72*q^1194+37636*p^70* q^1196+2258*p^68*q^1198+10454*p^107*q^1158+25968*p^105*q^1160+2613322*p^103*q^ 1162+41286276*p^101*q^1164+675998806*p^99*q^1166+8944740292*p^97*q^1168+ 111176321294*p^95*q^1170+1217970809608*p^93*q^1172+10591543234484*p^91*q^1174+ 49064515840652*p^89*q^1176+71616730152000*p^87*q^1178+27513621758904*p^85*q^ 1180+4229353622094*p^83*q^1182+428888464464*p^81*q^1184+36911407236*p^79*q^1186 +2854163940*p^77*q^1188+188112682*p^75*q^1190+15951897*p^73*q^1192+546008*p^71* q^1194+3318*p^69*q^1196+24*p^67*q^1198+276*p^108*q^1156+60808*p^106*q^1158+ 213688*p^104*q^1160+12909932*p^102*q^1162+144029958*p^100*q^1164+2324237304*p^ 98*q^1166+30176218830*p^96*q^1168+352684102506*p^94*q^1170+3561959442325*p^92*q ^1172+24596562339608*p^90*q^1174+69551196101238*p^88*q^1176+52941086913088*p^86 *q^1178+12220160631795*p^84*q^1180+1468608259100*p^82*q^1182+135536154637*p^80* q^1184+11046348120*p^78*q^1186+834646437*p^76*q^1188+52898058*p^74*q^1190+ 4518495*p^72*q^1192+58586*p^70*q^1194+1204*p^68*q^1196+8*p^66*q^1198+2392*p^107 *q^1156+81142*p^105*q^1158+1718380*p^103*q^1160+39439512*p^101*q^1162+567710084 *p^99*q^1164+7859890206*p^97*q^1166+98154523069*p^95*q^1168+1088011347262*p^93* q^1170+9602409065652*p^91*q^1172+46746618335462*p^89*q^1174+72472860720798*p^87 *q^1176+29709396845388*p^85*q^1178+4688785799345*p^83*q^1180+482501289876*p^81* q^1182+41618710462*p^79*q^1184+3202634960*p^77*q^1186+218141777*p^75*q^1188+ 16718078*p^73*q^1190+603824*p^71*q^1192+3476*p^69*q^1194+244*p^67*q^1196+20*p^ 108*q^1154+58206*p^106*q^1156+120866*p^104*q^1158+11126118*p^102*q^1160+ 125040544*p^100*q^1162+2077296994*p^98*q^1164+26706454300*p^96*q^1166+ 313389172268*p^94*q^1168+3208089533998*p^92*q^1170+22687048169613*p^90*q^1172+ 68295845772396*p^88*q^1174+55239707354374*p^86*q^1176+13438638386010*p^84*q^ 1178+1640787605849*p^82*q^1180+153181908386*p^80*q^1182+12546365570*p^78*q^1184 +954873560*p^76*q^1186+57484482*p^74*q^1188+5470512*p^72*q^1190+124344*p^70*q^ 1192+834*p^68*q^1194+2786*p^107*q^1154+137630*p^105*q^1156+1352272*p^103*q^1158 +37748406*p^101*q^1160+494265546*p^99*q^1162+6937610606*p^97*q^1164+87239841130 *p^95*q^1166+968845008252*p^93*q^1168+8731936150568*p^91*q^1170+44118995689549* p^89*q^1172+73525554298784*p^87*q^1174+31845320538405*p^85*q^1176+5222800507036 *p^83*q^1178+542394605167*p^81*q^1180+47294908648*p^79*q^1182+3649193290*p^77*q ^1184+260523120*p^75*q^1186+19015316*p^73*q^1188+1050318*p^71*q^1190+4868*p^69* q^1192+144*p^67*q^1194+28844*p^106*q^1154+133306*p^104*q^1156+8352030*p^102*q^ 1158+110585516*p^100*q^1160+1807124484*p^98*q^1162+23456107884*p^96*q^1164+ 278214185672*p^94*q^1166+2869366309054*p^92*q^1168+20972382497888*p^90*q^1170+ 66424874215514*p^88*q^1172+57869626874136*p^86*q^1174+14686510805873*p^84*q^ 1176+1839047260392*p^82*q^1178+172371743914*p^80*q^1180+14173316228*p^78*q^1182 +1070832631*p^76*q^1184+62781196*p^74*q^1186+5850352*p^72*q^1188+93324*p^70*q^ 1190+144*p^68*q^1192+12*p^66*q^1194+938*p^107*q^1152+185516*p^105*q^1154+839052 *p^103*q^1156+35048540*p^101*q^1158+421508490*p^99*q^1160+6139597930*p^97*q^ 1162+77105304529*p^95*q^1164+865251813034*p^93*q^1166+7897125451505*p^91*q^1168 +41788294473162*p^89*q^1170+73896587456060*p^87*q^1172+34225100187652*p^85*q^ 1174+5777163114633*p^83*q^1176+610034414280*p^81*q^1178+53241404236*p^79*q^1180 +4156299482*p^77*q^1182+303703172*p^75*q^1184+19727778*p^73*q^1186+1508835*p^71 *q^1188+21788*p^69*q^1190+152*p^67*q^1192+18938*p^106*q^1152+209558*p^104*q^ 1154+6603914*p^102*q^1156+103082600*p^100*q^1158+1585575284*p^98*q^1160+ 20729403076*p^96*q^1162+247073174753*p^94*q^1164+2578620472076*p^92*q^1166+ 19267892470299*p^90*q^1168+64753041245840*p^88*q^1170+60019036558452*p^86*q^ 1172+16100400099722*p^84*q^1174+2053209629587*p^82*q^1176+194756709832*p^80*q^ 1178+16134968970*p^78*q^1180+1208580386*p^76*q^1182+73861376*p^74*q^1184+ 6848840*p^72*q^1186+168538*p^70*q^1188+176*p^68*q^1190+8*p^66*q^1192+56*p^107*q ^1150+158484*p^105*q^1152+639948*p^103*q^1154+30907532*p^101*q^1156+362216626*p ^99*q^1158+5439423897*p^97*q^1160+68449050992*p^95*q^1162+769349658861*p^93*q^ 1164+7163584910128*p^91*q^1166+39226262806445*p^89*q^1168+74443944095698*p^87*q ^1170+36503767716824*p^85*q^1172+6422106633292*p^83*q^1174+684516450014*p^81*q^ 1176+60362545392*p^79*q^1178+4714644711*p^77*q^1180+354240070*p^75*q^1182+ 20264084*p^73*q^1184+1861864*p^71*q^1186+18374*p^69*q^1188+4*p^108*q^1148+12870 *p^106*q^1150+363994*p^104*q^1152+4787322*p^102*q^1154+95988488*p^100*q^1156+ 1379665046*p^98*q^1158+18223398247*p^96*q^1160+219307277736*p^94*q^1162+ 2303731571136*p^92*q^1164+17737880118704*p^90*q^1166+62578628645145*p^88*q^1168 +62444326922248*p^86*q^1170+17536766432515*p^84*q^1172+2298619907982*p^82*q^ 1174+219221241224*p^80*q^1176+18269285162*p^78*q^1178+1366495380*p^76*q^1180+ 87053048*p^74*q^1182+7679644*p^72*q^1184+299232*p^70*q^1186+2168*p^68*q^1188+12 *p^66*q^1190+48*p^107*q^1148+104480*p^105*q^1150+471828*p^103*q^1152+25703262*p ^101*q^1154+312226060*p^99*q^1156+4786897068*p^97*q^1158+60391592688*p^95*q^ 1160+686324437538*p^93*q^1162+6458978923587*p^91*q^1164+36951815886390*p^89*q^ 1166+74311246705622*p^87*q^1168+39037451206884*p^85*q^1170+7089093409302*p^83*q ^1172+769443429128*p^81*q^1174+67986527866*p^79*q^1176+5360350030*p^77*q^1178+ 398843683*p^75*q^1180+21290824*p^73*q^1182+2089124*p^71*q^1184+16820*p^69*q^ 1186+2504*p^106*q^1148+478760*p^104*q^1150+3586954*p^102*q^1152+90527264*p^100* q^1154+1199023568*p^98*q^1156+16143745272*p^96*q^1158+194620018967*p^94*q^1160+ 2067924833796*p^92*q^1162+16230721195974*p^90*q^1164+60615526153844*p^88*q^1166 +64364385508773*p^86*q^1168+19146450167454*p^84*q^1170+2561817370096*p^82*q^ 1172+247521529866*p^80*q^1174+20692041146*p^78*q^1176+1543665922*p^76*q^1178+ 107290141*p^74*q^1180+7802720*p^72*q^1182+477468*p^70*q^1184+4180*p^68*q^1186+ 132*p^107*q^1146+90062*p^105*q^1148+611544*p^103*q^1150+21102044*p^101*q^1152+ 279907932*p^99*q^1154+4234308279*p^97*q^1156+53535035652*p^95*q^1158+ 610235161493*p^93*q^1160+5844410863052*p^91*q^1162+34493714295587*p^89*q^1164+ 74340087498364*p^87*q^1166+41420570394237*p^85*q^1168+7862550804608*p^83*q^1170 +863359490871*p^81*q^1172+77080719668*p^79*q^1174+6134264086*p^77*q^1176+ 460078264*p^75*q^1178+23107924*p^73*q^1180+2779038*p^71*q^1182+40384*p^69*q^ 1184+76*p^67*q^1186+1556*p^106*q^1146+411342*p^104*q^1148+2478632*p^102*q^1150+ 81470124*p^100*q^1152+1029313492*p^98*q^1154+14190897818*p^96*q^1156+ 172703444428*p^94*q^1158+1843935878639*p^92*q^1160+14891659931682*p^90*q^1162+ 58173383650238*p^88*q^1164+66551517561260*p^86*q^1166+20778864893941*p^84*q^ 1168+2863855374462*p^82*q^1170+278046932972*p^80*q^1172+23385682478*p^78*q^1174 +1740060176*p^76*q^1176+123729450*p^74*q^1178+7870996*p^72*q^1180+543006*p^70*q ^1182+780*p^68*q^1184+2*p^111*q^1140+32*p^107*q^1144+36010*p^105*q^1146+932880* p^103*q^1148+16341946*p^101*q^1150+251437520*p^99*q^1152+3714723258*p^97*q^1154 +47241909016*p^95*q^1156+543471314016*p^93*q^1158+5259673014682*p^91*q^1160+ 32323577928026*p^89*q^1162+73670953118204*p^87*q^1164+44058963744210*p^85*q^ 1166+8659079856527*p^83*q^1168+969654486664*p^81*q^1170+86869469682*p^79*q^1172 +6968539894*p^77*q^1174+512303996*p^75*q^1176+28227700*p^73*q^1178+2995788*p^71 *q^1180+82500*p^69*q^1182+644*p^67*q^1184+1388*p^106*q^1144+396518*p^104*q^1146 +1918032*p^102*q^1148+72719334*p^100*q^1150+893874356*p^98*q^1152+12590928586*p ^96*q^1154+153037760386*p^94*q^1156+1653398997812*p^92*q^1158+13577372098665*p^ 90*q^1160+56011762523006*p^88*q^1162+68111789975019*p^86*q^1164+22606630477754* p^84*q^1166+3187289829464*p^82*q^1168+313735848526*p^80*q^1170+26477280390*p^78 *q^1172+1991605074*p^76*q^1174+148324116*p^74*q^1176+7184562*p^72*q^1178+771758 *p^70*q^1180+3572*p^68*q^1182+20308*p^105*q^1144+1072944*p^103*q^1146+12860402* p^101*q^1148+231757940*p^99*q^1150+3270437618*p^97*q^1152+41827045900*p^95*q^ 1154+483188870988*p^93*q^1156+4746984445102*p^91*q^1158+30032805563415*p^89*q^ 1160+73192471080928*p^87*q^1162+46473511927806*p^85*q^1164+9577923974308*p^83*q ^1166+1086603210153*p^81*q^1168+98462096032*p^79*q^1170+7925241560*p^77*q^1172+ 575906558*p^75*q^1174+34451337*p^73*q^1176+3431236*p^71*q^1178+129452*p^69*q^ 1180+34*p^110*q^1138+876*p^106*q^1142+261118*p^104*q^1144+1999006*p^102*q^1146+ 60906604*p^100*q^1148+776147464*p^98*q^1150+11060933600*p^96*q^1152+ 135772075042*p^94*q^1154+1472438343831*p^92*q^1156+12408406959112*p^90*q^1158+ 53422782766751*p^88*q^1160+69975674527468*p^86*q^1162+24425220412749*p^84*q^ 1164+3558974525164*p^82*q^1166+352617054269*p^80*q^1168+29924079502*p^78*q^1170 +2268861657*p^76*q^1172+171096380*p^74*q^1174+7203207*p^72*q^1176+953844*p^70*q ^1178+7948*p^68*q^1180+44*p^66*q^1182+11708*p^105*q^1142+1177688*p^103*q^1144+ 9173214*p^101*q^1146+211766940*p^99*q^1148+2838945876*p^97*q^1150+36902822827*p ^95*q^1152+429943499794*p^93*q^1154+4263108788480*p^91*q^1156+27998071897802*p^ 89*q^1158+72054748602933*p^87*q^1160+49168271048840*p^85*q^1162+10515857993511* p^83*q^1164+1219356165954*p^81*q^1166+110726494951*p^79*q^1168+8974302342*p^77* q^1170+641206416*p^75*q^1172+41508128*p^73*q^1174+3126072*p^71*q^1176+154300*p^ 69*q^1178+160*p^67*q^1180+120*p^106*q^1140+155088*p^104*q^1142+2208776*p^102*q^ 1144+51760912*p^100*q^1146+684936520*p^98*q^1148+9821695944*p^96*q^1150+ 120345891209*p^94*q^1152+1318753753942*p^92*q^1154+11280676509554*p^90*q^1156+ 51094628027212*p^88*q^1158+71146254193155*p^86*q^1160+26463431834424*p^84*q^ 1162+3954208603248*p^82*q^1164+397618029672*p^80*q^1166+33929216860*p^78*q^1168 +2613019008*p^76*q^1170+194503820*p^74*q^1172+8587494*p^72*q^1174+1277248*p^70* q^1176+24072*p^68*q^1178+242*p^109*q^1136+9560*p^105*q^1140+1108308*p^103*q^ 1142+7766594*p^101*q^1144+191202196*p^99*q^1146+2486017850*p^97*q^1148+ 32655138676*p^95*q^1150+381627492467*p^93*q^1152+3840891212620*p^91*q^1154+ 25892062918612*p^89*q^1156+71066598029484*p^87*q^1158+51570891380276*p^85*q^ 1160+11601813880392*p^83*q^1162+1364438956247*p^81*q^1164+125408233068*p^79*q^ 1166+10181594751*p^77*q^1168+725804870*p^75*q^1170+52403572*p^73*q^1172+2684080 *p^71*q^1174+230196*p^69*q^1176+324*p^67*q^1178+16*p^106*q^1138+96910*p^104*q^ 1140+2588870*p^102*q^1142+40266302*p^100*q^1144+610768602*p^98*q^1146+ 8622194555*p^96*q^1148+106615177988*p^94*q^1150+1173719180200*p^92*q^1152+ 10276490016634*p^90*q^1154+48451295849472*p^88*q^1156+72564884245156*p^86*q^ 1158+28471745985286*p^84*q^1160+4407736752376*p^82*q^1162+446448066860*p^80*q^ 1164+38363667094*p^78*q^1166+2971793122*p^76*q^1168+216748392*p^74*q^1170+ 9819536*p^72*q^1172+1418690*p^70*q^1174+26172*p^68*q^1176+60*p^109*q^1134+8*p^ 107*q^1136+3966*p^105*q^1138+788422*p^103*q^1140+6268122*p^101*q^1142+168950914 *p^99*q^1144+2155538262*p^97*q^1146+28781468570*p^95*q^1148+339487860450*p^93*q ^1150+3441758804315*p^91*q^1152+24031292928996*p^89*q^1154+69490423725965*p^87* q^1156+54222666597908*p^85*q^1158+12703597922578*p^83*q^1160+1529587461504*p^81 *q^1162+141117949173*p^79*q^1164+11505695242*p^77*q^1166+823901356*p^75*q^1168+ 61595676*p^73*q^1170+2390359*p^71*q^1172+340118*p^69*q^1174+2508*p^67*q^1176+ 936*p^108*q^1134+64396*p^104*q^1138+3043920*p^102*q^1140+33162126*p^100*q^1142+ 551578056*p^98*q^1144+7620251994*p^96*q^1146+94494870626*p^94*q^1148+ 1049874062014*p^92*q^1150+9313237174955*p^90*q^1152+46074300609424*p^88*q^1154+ 73283106632985*p^86*q^1156+30701557263156*p^84*q^1158+4887496801082*p^82*q^1160 +503395272796*p^80*q^1162+43399606770*p^78*q^1164+3405960916*p^76*q^1166+ 240775243*p^74*q^1168+13404172*p^72*q^1170+1314701*p^70*q^1172+39046*p^68*q^ 1174+964*p^105*q^1136+594520*p^103*q^1138+6005208*p^101*q^1140+145550590*p^99*q ^1142+1887148136*p^97*q^1144+25500194906*p^95*q^1146+301198681291*p^93*q^1148+ 3095196721378*p^91*q^1150+22122331348276*p^89*q^1152+68082641958784*p^87*q^1154 +56534114800382*p^85*q^1156+13965223304100*p^83*q^1158+1710771571215*p^81*q^ 1160+159511558760*p^79*q^1162+13060682609*p^77*q^1164+950393878*p^75*q^1166+ 72778374*p^73*q^1168+2180558*p^71*q^1170+514622*p^69*q^1172+4800*p^67*q^1174+ 826*p^108*q^1132+192*p^106*q^1134+47574*p^104*q^1136+2749504*p^102*q^1138+ 26363192*p^100*q^1140+497582054*p^98*q^1142+6671858954*p^96*q^1144+83663699536* p^94*q^1146+933271282596*p^92*q^1148+8461618153554*p^90*q^1150+43422561179220*p ^88*q^1152+74246286825816*p^86*q^1154+32872517086915*p^84*q^1156+5439047136150* p^82*q^1158+564390062869*p^80*q^1160+49164228406*p^78*q^1162+3861602378*p^76*q^ 1164+264704652*p^74*q^1166+16880428*p^72*q^1168+1176254*p^70*q^1170+58728*p^68* q^1172+84*p^66*q^1174+2136*p^107*q^1132+252*p^105*q^1134+365344*p^103*q^1136+ 6701422*p^101*q^1138+121564322*p^99*q^1140+1649463528*p^97*q^1142+22474029500*p ^95*q^1144+267695780884*p^93*q^1146+2769554161447*p^91*q^1148+20442472525194*p^ 89*q^1150+66104664747449*p^87*q^1152+59091352708576*p^85*q^1154+15245730831373* p^83*q^1156+1915043127166*p^81*q^1158+179535285607*p^79*q^1160+14735666084*p^77 *q^1162+1085938470*p^75*q^1164+82076556*p^73*q^1166+2717206*p^71*q^1168+520488* p^69*q^1170+4042*p^67*q^1172+52*p^108*q^1130+20*p^106*q^1132+18274*p^104*q^1134 +2443114*p^102*q^1136+20961968*p^100*q^1138+446621296*p^98*q^1140+5870660770*p^ 96*q^1142+74011632674*p^94*q^1144+833962251868*p^92*q^1146+7647564657053*p^90*q ^1148+41068586027022*p^88*q^1150+74443169025731*p^86*q^1152+35284644871128*p^84 *q^1154+6016419793839*p^82*q^1156+635808446288*p^80*q^1158+55559307723*p^78*q^ 1160+4402603254*p^76*q^1162+298005188*p^74*q^1164+21372028*p^72*q^1166+721576*p ^70*q^1168+136244*p^68*q^1170+708*p^66*q^1172+4638*p^107*q^1130+1672*p^105*q^ 1132+311666*p^103*q^1134+7142728*p^101*q^1136+104203370*p^99*q^1138+1472036550* p^97*q^1140+19921099294*p^95*q^1142+237678115846*p^93*q^1144+2487370023406*p^91 *q^1146+18745388947272*p^89*q^1148+64336649490774*p^87*q^1150+61193145698391*p^ 85*q^1152+16705845057314*p^83*q^1154+2139260225717*p^81*q^1156+203007383582*p^ 79*q^1158+16744260556*p^77*q^1160+1260898536*p^75*q^1162+92354928*p^73*q^1164+ 3879902*p^71*q^1166+640908*p^69*q^1168+6048*p^67*q^1170+54*p^108*q^1128+2924*p^ 106*q^1130+7676*p^104*q^1132+1765824*p^102*q^1134+18486116*p^100*q^1136+ 389539466*p^98*q^1138+5105881962*p^96*q^1140+65421453788*p^94*q^1142+ 740309541165*p^92*q^1144+6925671014304*p^90*q^1146+38494764049122*p^88*q^1148+ 74905566860774*p^86*q^1150+37587633455001*p^84*q^1152+6681640312054*p^82*q^1154 +712552203699*p^80*q^1156+62819988522*p^78*q^1158+4962520200*p^76*q^1160+ 335133284*p^74*q^1162+25470982*p^72*q^1164+522164*p^70*q^1166+148540*p^68*q^ 1168+200*p^66*q^1170+1288*p^107*q^1128+776*p^105*q^1130+184690*p^103*q^1132+ 7087444*p^101*q^1134+83474032*p^99*q^1136+1307637348*p^97*q^1138+17538783598*p^ 95*q^1140+211139218890*p^93*q^1142+2222685214719*p^91*q^1144+17254298271200*p^ 89*q^1146+62066086329757*p^87*q^1148+63573254032688*p^85*q^1150+18162263222498* p^83*q^1152+2392810771796*p^81*q^1154+228031057309*p^79*q^1156+18928419736*p^77 *q^1158+1440511578*p^75*q^1160+99335128*p^73*q^1162+5130852*p^71*q^1164+460300* p^69*q^1166+23852*p^67*q^1168+48*p^65*q^1170+13708*p^106*q^1128+8704*p^104*q^ 1130+1419368*p^102*q^1132+17958456*p^100*q^1134+345788712*p^98*q^1136+ 4497402754*p^96*q^1138+57987935625*p^94*q^1140+660958818396*p^92*q^1142+ 6246349385295*p^90*q^1144+36192162798726*p^88*q^1146+74593155194375*p^86*q^1148 +40136693921622*p^84*q^1150+7376560823715*p^82*q^1152+801830221006*p^80*q^1154+ 71084153718*p^78*q^1156+5653901176*p^76*q^1158+387522276*p^74*q^1160+31092164*p ^72*q^1162+724972*p^70*q^1164+230108*p^68*q^1166+308*p^66*q^1168+820*p^107*q^ 1126+2396*p^105*q^1128+96126*p^103*q^1130+6387022*p^101*q^1132+69056082*p^99*q^ 1134+1160945002*p^97*q^1136+15494738634*p^95*q^1138+186962212066*p^93*q^1140+ 1992846144946*p^91*q^1142+15763510035896*p^89*q^1144+60002197557432*p^87*q^1146 +65413975629345*p^85*q^1148+19835658086072*p^83*q^1150+2667229468930*p^81*q^ 1152+257706620992*p^79*q^1154+21471613205*p^77*q^1156+1651672824*p^75*q^1158+ 109041128*p^73*q^1160+6638276*p^71*q^1162+229058*p^69*q^1164+33328*p^67*q^1166+ 10084*p^106*q^1126+9624*p^104*q^1128+1132414*p^102*q^1130+17795074*p^100*q^1132 +295778074*p^98*q^1134+3955070688*p^96*q^1136+51250448450*p^94*q^1138+ 586992580799*p^92*q^1140+5644554244500*p^90*q^1142+33756356513457*p^88*q^1144+ 74496874657530*p^86*q^1146+42530572553036*p^84*q^1148+8170393988416*p^82*q^1150 +898269772580*p^80*q^1152+80295414366*p^78*q^1154+6365433624*p^76*q^1156+ 449037180*p^74*q^1158+35078446*p^72*q^1160+996944*p^70*q^1162+268618*p^68*q^ 1164+2308*p^66*q^1166+115*p^107*q^1124+23050*p^105*q^1126+55184*p^103*q^1128+ 5172828*p^101*q^1130+57482704*p^99*q^1132+1035600640*p^97*q^1134+13570996560*p^ 95*q^1136+166016303102*p^93*q^1138+1777477324911*p^91*q^1140+14452211244872*p^ 89*q^1142+57526199374408*p^87*q^1144+67500440469496*p^85*q^1146+21487353284415* p^83*q^1148+2980848493106*p^81*q^1150+289457588320*p^79*q^1152+24337949532*p^77 *q^1154+1881062844*p^75*q^1156+118541420*p^73*q^1158+8449934*p^71*q^1160+144368 *p^69*q^1162+47211*p^67*q^1164+6128*p^106*q^1124+3264*p^104*q^1126+714144*p^102 *q^1128+17764176*p^100*q^1130+251790336*p^98*q^1132+3479631328*p^96*q^1134+ 45409331176*p^94*q^1136+523584375012*p^92*q^1138+5078651217015*p^90*q^1140+ 31586860271948*p^88*q^1142+73689214162423*p^86*q^1144+45157008369912*p^84*q^ 1146+8994650812408*p^82*q^1148+1009434252996*p^80*q^1150+90620149254*p^78*q^ 1152+7204114468*p^76*q^1154+519945698*p^74*q^1156+38719956*p^72*q^1158+1451280* p^70*q^1160+170938*p^68*q^1162+6164*p^66*q^1164+37242*p^105*q^1124+64098*p^103* q^1126+4693008*p^101*q^1128+51997694*p^99*q^1130+922049116*p^97*q^1132+ 12021759892*p^95*q^1134+147082471958*p^93*q^1136+1592091426458*p^91*q^1138+ 13157176913847*p^89*q^1140+55251401217662*p^87*q^1142+69004715435545*p^85*q^ 1144+23362827831820*p^83*q^1146+3318903001540*p^81*q^1148+327084921654*p^79*q^ 1150+27656640270*p^77*q^1152+2158247730*p^75*q^1154+135931110*p^73*q^1156+ 11074726*p^71*q^1158+156570*p^69*q^1160+100222*p^67*q^1162+88*p^65*q^1164+2634* p^106*q^1122+23450*p^104*q^1124+437766*p^102*q^1126+15729542*p^100*q^1128+ 208814852*p^98*q^1130+3062649706*p^96*q^1132+40033506338*p^94*q^1134+ 464244910673*p^92*q^1136+4579915547512*p^90*q^1138+29301386230229*p^88*q^1140+ 73107616326442*p^86*q^1142+47588752887507*p^84*q^1144+9938925336150*p^82*q^1146 +1129572382743*p^80*q^1148+102295451116*p^78*q^1150+8146064906*p^76*q^1152+ 598483032*p^74*q^1154+40702422*p^72*q^1156+1782758*p^70*q^1158+89682*p^68*q^ 1160+4790*p^66*q^1162+44*p^107*q^1120+29500*p^105*q^1122+32442*p^103*q^1124+ 3590242*p^101*q^1126+48168310*p^99*q^1128+808651508*p^97*q^1130+10536342530*p^ 95*q^1132+130517596814*p^93*q^1134+1419008519671*p^91*q^1136+12024060549422*p^ 89*q^1138+52631155534664*p^87*q^1140+70728143839804*p^85*q^1142+25207070299123* p^83*q^1144+3700683882350*p^81*q^1146+366889186088*p^79*q^1148+31309949906*p^77 *q^1150+2414730193*p^75*q^1152+154257510*p^73*q^1154+13107386*p^71*q^1156+ 258046*p^69*q^1158+90520*p^67*q^1160+772*p^65*q^1162+164*p^106*q^1120+74106*p^ 104*q^1122+336494*p^102*q^1124+14789118*p^100*q^1126+177439132*p^98*q^1128+ 2735103654*p^96*q^1130+35416769245*p^94*q^1132+413874163090*p^92*q^1134+ 4112868039464*p^90*q^1136+27290252346060*p^88*q^1138+71784675411677*p^86*q^1140 +50257041729500*p^84*q^1142+10911982384914*p^82*q^1144+1269189873600*p^80*q^ 1146+115578104607*p^78*q^1148+9272090962*p^76*q^1150+705296046*p^74*q^1152+ 44282996*p^72*q^1154+2637636*p^70*q^1156+29424*p^68*q^1158+22281*p^66*q^1160+ 22281*p^105*q^1120+29424*p^103*q^1122+2637636*p^101*q^1124+44282996*p^99*q^1126 +705296046*p^97*q^1128+9272090962*p^95*q^1130+115578104607*p^93*q^1132+ 1269189873600*p^91*q^1134+10911982384914*p^89*q^1136+50257041729500*p^87*q^1138 +71784675411677*p^85*q^1140+27290252346060*p^83*q^1142+4112868039464*p^81*q^ 1144+413874163090*p^79*q^1146+35416769245*p^77*q^1148+2735103654*p^75*q^1150+ 177439132*p^73*q^1152+14789118*p^71*q^1154+336494*p^69*q^1156+74106*p^67*q^1158 +164*p^65*q^1160+772*p^106*q^1118+90520*p^104*q^1120+258046*p^102*q^1122+ 13107386*p^100*q^1124+154257510*p^98*q^1126+2414730193*p^96*q^1128+31309949906* p^94*q^1130+366889186088*p^92*q^1132+3700683882350*p^90*q^1134+25207070299123*p ^88*q^1136+70728143839804*p^86*q^1138+52631155534664*p^84*q^1140+12024060549422 *p^82*q^1142+1419008519671*p^80*q^1144+130517596814*p^78*q^1146+10536342530*p^ 76*q^1148+808651508*p^74*q^1150+48168310*p^72*q^1152+3590242*p^70*q^1154+32442* p^68*q^1156+29500*p^66*q^1158+44*p^64*q^1160+4790*p^105*q^1118+89682*p^103*q^ 1120+1782758*p^101*q^1122+40702422*p^99*q^1124+598483032*p^97*q^1126+8146064906 *p^95*q^1128+102295451116*p^93*q^1130+1129572382743*p^91*q^1132+9938925336150*p ^89*q^1134+47588752887507*p^87*q^1136+73107616326442*p^85*q^1138+29301386230229 *p^83*q^1140+4579915547512*p^81*q^1142+464244910673*p^79*q^1144+40033506338*p^ 77*q^1146+3062649706*p^75*q^1148+208814852*p^73*q^1150+15729542*p^71*q^1152+ 437766*p^69*q^1154+23450*p^67*q^1156+2634*p^65*q^1158+88*p^106*q^1116+100222*p^ 104*q^1118+156570*p^102*q^1120+11074726*p^100*q^1122+135931110*p^98*q^1124+ 2158247730*p^96*q^1126+27656640270*p^94*q^1128+327084921654*p^92*q^1130+ 3318903001540*p^90*q^1132+23362827831820*p^88*q^1134+69004715435545*p^86*q^1136 +55251401217662*p^84*q^1138+13157176913847*p^82*q^1140+1592091426458*p^80*q^ 1142+147082471958*p^78*q^1144+12021759892*p^76*q^1146+922049116*p^74*q^1148+ 51997694*p^72*q^1150+4693008*p^70*q^1152+64098*p^68*q^1154+37242*p^66*q^1156+ 6164*p^105*q^1116+170938*p^103*q^1118+1451280*p^101*q^1120+38719956*p^99*q^1122 +519945698*p^97*q^1124+7204114468*p^95*q^1126+90620149254*p^93*q^1128+ 1009434252996*p^91*q^1130+8994650812408*p^89*q^1132+45157008369912*p^87*q^1134+ 73689214162423*p^85*q^1136+31586860271948*p^83*q^1138+5078651217015*p^81*q^1140 +523584375012*p^79*q^1142+45409331176*p^77*q^1144+3479631328*p^75*q^1146+ 251790336*p^73*q^1148+17764176*p^71*q^1150+714144*p^69*q^1152+3264*p^67*q^1154+ 6128*p^65*q^1156+47211*p^104*q^1116+144368*p^102*q^1118+8449934*p^100*q^1120+ 118541420*p^98*q^1122+1881062844*p^96*q^1124+24337949532*p^94*q^1126+ 289457588320*p^92*q^1128+2980848493106*p^90*q^1130+21487353284415*p^88*q^1132+ 67500440469496*p^86*q^1134+57526199374408*p^84*q^1136+14452211244872*p^82*q^ 1138+1777477324911*p^80*q^1140+166016303102*p^78*q^1142+13570996560*p^76*q^1144 +1035600640*p^74*q^1146+57482704*p^72*q^1148+5172828*p^70*q^1150+55184*p^68*q^ 1152+23050*p^66*q^1154+115*p^64*q^1156+2308*p^105*q^1114+268618*p^103*q^1116+ 996944*p^101*q^1118+35078446*p^99*q^1120+449037180*p^97*q^1122+6365433624*p^95* q^1124+80295414366*p^93*q^1126+898269772580*p^91*q^1128+8170393988416*p^89*q^ 1130+42530572553036*p^87*q^1132+74496874657530*p^85*q^1134+33756356513457*p^83* q^1136+5644554244500*p^81*q^1138+586992580799*p^79*q^1140+51250448450*p^77*q^ 1142+3955070688*p^75*q^1144+295778074*p^73*q^1146+17795074*p^71*q^1148+1132414* p^69*q^1150+9624*p^67*q^1152+10084*p^65*q^1154+33328*p^104*q^1114+229058*p^102* q^1116+6638276*p^100*q^1118+109041128*p^98*q^1120+1651672824*p^96*q^1122+ 21471613205*p^94*q^1124+257706620992*p^92*q^1126+2667229468930*p^90*q^1128+ 19835658086072*p^88*q^1130+65413975629345*p^86*q^1132+60002197557432*p^84*q^ 1134+15763510035896*p^82*q^1136+1992846144946*p^80*q^1138+186962212066*p^78*q^ 1140+15494738634*p^76*q^1142+1160945002*p^74*q^1144+69056082*p^72*q^1146+ 6387022*p^70*q^1148+96126*p^68*q^1150+2396*p^66*q^1152+820*p^64*q^1154+308*p^ 105*q^1112+230108*p^103*q^1114+724972*p^101*q^1116+31092164*p^99*q^1118+ 387522276*p^97*q^1120+5653901176*p^95*q^1122+71084153718*p^93*q^1124+ 801830221006*p^91*q^1126+7376560823715*p^89*q^1128+40136693921622*p^87*q^1130+ 74593155194375*p^85*q^1132+36192162798726*p^83*q^1134+6246349385295*p^81*q^1136 +660958818396*p^79*q^1138+57987935625*p^77*q^1140+4497402754*p^75*q^1142+ 345788712*p^73*q^1144+17958456*p^71*q^1146+1419368*p^69*q^1148+8704*p^67*q^1150 +13708*p^65*q^1152+48*p^106*q^1110+23852*p^104*q^1112+460300*p^102*q^1114+ 5130852*p^100*q^1116+99335128*p^98*q^1118+1440511578*p^96*q^1120+18928419736*p^ 94*q^1122+228031057309*p^92*q^1124+2392810771796*p^90*q^1126+18162263222498*p^ 88*q^1128+63573254032688*p^86*q^1130+62066086329757*p^84*q^1132+17254298271200* p^82*q^1134+2222685214719*p^80*q^1136+211139218890*p^78*q^1138+17538783598*p^76 *q^1140+1307637348*p^74*q^1142+83474032*p^72*q^1144+7087444*p^70*q^1146+184690* p^68*q^1148+776*p^66*q^1150+1288*p^64*q^1152+200*p^105*q^1110+148540*p^103*q^ 1112+522164*p^101*q^1114+25470982*p^99*q^1116+335133284*p^97*q^1118+4962520200* p^95*q^1120+62819988522*p^93*q^1122+712552203699*p^91*q^1124+6681640312054*p^89 *q^1126+37587633455001*p^87*q^1128+74905566860774*p^85*q^1130+38494764049122*p^ 83*q^1132+6925671014304*p^81*q^1134+740309541165*p^79*q^1136+65421453788*p^77*q ^1138+5105881962*p^75*q^1140+389539466*p^73*q^1142+18486116*p^71*q^1144+1765824 *p^69*q^1146+7676*p^67*q^1148+2924*p^65*q^1150+54*p^63*q^1152+6048*p^104*q^1110 +640908*p^102*q^1112+3879902*p^100*q^1114+92354928*p^98*q^1116+1260898536*p^96* q^1118+16744260556*p^94*q^1120+203007383582*p^92*q^1122+2139260225717*p^90*q^ 1124+16705845057314*p^88*q^1126+61193145698391*p^86*q^1128+64336649490774*p^84* q^1130+18745388947272*p^82*q^1132+2487370023406*p^80*q^1134+237678115846*p^78*q ^1136+19921099294*p^76*q^1138+1472036550*p^74*q^1140+104203370*p^72*q^1142+ 7142728*p^70*q^1144+311666*p^68*q^1146+1672*p^66*q^1148+4638*p^64*q^1150+708*p^ 105*q^1108+136244*p^103*q^1110+721576*p^101*q^1112+21372028*p^99*q^1114+ 298005188*p^97*q^1116+4402603254*p^95*q^1118+55559307723*p^93*q^1120+ 635808446288*p^91*q^1122+6016419793839*p^89*q^1124+35284644871128*p^87*q^1126+ 74443169025731*p^85*q^1128+41068586027022*p^83*q^1130+7647564657053*p^81*q^1132 +833962251868*p^79*q^1134+74011632674*p^77*q^1136+5870660770*p^75*q^1138+ 446621296*p^73*q^1140+20961968*p^71*q^1142+2443114*p^69*q^1144+18274*p^67*q^ 1146+20*p^65*q^1148+52*p^63*q^1150+4042*p^104*q^1108+520488*p^102*q^1110+ 2717206*p^100*q^1112+82076556*p^98*q^1114+1085938470*p^96*q^1116+14735666084*p^ 94*q^1118+179535285607*p^92*q^1120+1915043127166*p^90*q^1122+15245730831373*p^ 88*q^1124+59091352708576*p^86*q^1126+66104664747449*p^84*q^1128+20442472525194* p^82*q^1130+2769554161447*p^80*q^1132+267695780884*p^78*q^1134+22474029500*p^76 *q^1136+1649463528*p^74*q^1138+121564322*p^72*q^1140+6701422*p^70*q^1142+365344 *p^68*q^1144+252*p^66*q^1146+2136*p^64*q^1148+84*p^105*q^1106+58728*p^103*q^ 1108+1176254*p^101*q^1110+16880428*p^99*q^1112+264704652*p^97*q^1114+3861602378 *p^95*q^1116+49164228406*p^93*q^1118+564390062869*p^91*q^1120+5439047136150*p^ 89*q^1122+32872517086915*p^87*q^1124+74246286825816*p^85*q^1126+43422561179220* p^83*q^1128+8461618153554*p^81*q^1130+933271282596*p^79*q^1132+83663699536*p^77 *q^1134+6671858954*p^75*q^1136+497582054*p^73*q^1138+26363192*p^71*q^1140+ 2749504*p^69*q^1142+47574*p^67*q^1144+192*p^65*q^1146+826*p^63*q^1148+4800*p^ 104*q^1106+514622*p^102*q^1108+2180558*p^100*q^1110+72778374*p^98*q^1112+ 950393878*p^96*q^1114+13060682609*p^94*q^1116+159511558760*p^92*q^1118+ 1710771571215*p^90*q^1120+13965223304100*p^88*q^1122+56534114800382*p^86*q^1124 +68082641958784*p^84*q^1126+22122331348276*p^82*q^1128+3095196721378*p^80*q^ 1130+301198681291*p^78*q^1132+25500194906*p^76*q^1134+1887148136*p^74*q^1136+ 145550590*p^72*q^1138+6005208*p^70*q^1140+594520*p^68*q^1142+964*p^66*q^1144+ 39046*p^103*q^1106+1314701*p^101*q^1108+13404172*p^99*q^1110+240775243*p^97*q^ 1112+3405960916*p^95*q^1114+43399606770*p^93*q^1116+503395272796*p^91*q^1118+ 4887496801082*p^89*q^1120+30701557263156*p^87*q^1122+73283106632985*p^85*q^1124 +46074300609424*p^83*q^1126+9313237174955*p^81*q^1128+1049874062014*p^79*q^1130 +94494870626*p^77*q^1132+7620251994*p^75*q^1134+551578056*p^73*q^1136+33162126* p^71*q^1138+3043920*p^69*q^1140+64396*p^67*q^1142+936*p^63*q^1146+2508*p^104*q^ 1104+340118*p^102*q^1106+2390359*p^100*q^1108+61595676*p^98*q^1110+823901356*p^ 96*q^1112+11505695242*p^94*q^1114+141117949173*p^92*q^1116+1529587461504*p^90*q ^1118+12703597922578*p^88*q^1120+54222666597908*p^86*q^1122+69490423725965*p^84 *q^1124+24031292928996*p^82*q^1126+3441758804315*p^80*q^1128+339487860450*p^78* q^1130+28781468570*p^76*q^1132+2155538262*p^74*q^1134+168950914*p^72*q^1136+ 6268122*p^70*q^1138+788422*p^68*q^1140+3966*p^66*q^1142+8*p^64*q^1144+60*p^62*q ^1146+26172*p^103*q^1104+1418690*p^101*q^1106+9819536*p^99*q^1108+216748392*p^ 97*q^1110+2971793122*p^95*q^1112+38363667094*p^93*q^1114+446448066860*p^91*q^ 1116+4407736752376*p^89*q^1118+28471745985286*p^87*q^1120+72564884245156*p^85*q ^1122+48451295849472*p^83*q^1124+10276490016634*p^81*q^1126+1173719180200*p^79* q^1128+106615177988*p^77*q^1130+8622194555*p^75*q^1132+610768602*p^73*q^1134+ 40266302*p^71*q^1136+2588870*p^69*q^1138+96910*p^67*q^1140+16*p^65*q^1142+324*p ^104*q^1102+230196*p^102*q^1104+2684080*p^100*q^1106+52403572*p^98*q^1108+ 725804870*p^96*q^1110+10181594751*p^94*q^1112+125408233068*p^92*q^1114+ 1364438956247*p^90*q^1116+11601813880392*p^88*q^1118+51570891380276*p^86*q^1120 +71066598029484*p^84*q^1122+25892062918612*p^82*q^1124+3840891212620*p^80*q^ 1126+381627492467*p^78*q^1128+32655138676*p^76*q^1130+2486017850*p^74*q^1132+ 191202196*p^72*q^1134+7766594*p^70*q^1136+1108308*p^68*q^1138+9560*p^66*q^1140+ 242*p^62*q^1144+24072*p^103*q^1102+1277248*p^101*q^1104+8587494*p^99*q^1106+ 194503820*p^97*q^1108+2613019008*p^95*q^1110+33929216860*p^93*q^1112+ 397618029672*p^91*q^1114+3954208603248*p^89*q^1116+26463431834424*p^87*q^1118+ 71146254193155*p^85*q^1120+51094628027212*p^83*q^1122+11280676509554*p^81*q^ 1124+1318753753942*p^79*q^1126+120345891209*p^77*q^1128+9821695944*p^75*q^1130+ 684936520*p^73*q^1132+51760912*p^71*q^1134+2208776*p^69*q^1136+155088*p^67*q^ 1138+120*p^65*q^1140+160*p^104*q^1100+154300*p^102*q^1102+3126072*p^100*q^1104+ 41508128*p^98*q^1106+641206416*p^96*q^1108+8974302342*p^94*q^1110+110726494951* p^92*q^1112+1219356165954*p^90*q^1114+10515857993511*p^88*q^1116+49168271048840 *p^86*q^1118+72054748602933*p^84*q^1120+27998071897802*p^82*q^1122+ 4263108788480*p^80*q^1124+429943499794*p^78*q^1126+36902822827*p^76*q^1128+ 2838945876*p^74*q^1130+211766940*p^72*q^1132+9173214*p^70*q^1134+1177688*p^68*q ^1136+11708*p^66*q^1138+44*p^105*q^1098+7948*p^103*q^1100+953844*p^101*q^1102+ 7203207*p^99*q^1104+171096380*p^97*q^1106+2268861657*p^95*q^1108+29924079502*p^ 93*q^1110+352617054269*p^91*q^1112+3558974525164*p^89*q^1114+24425220412749*p^ 87*q^1116+69975674527468*p^85*q^1118+53422782766751*p^83*q^1120+12408406959112* p^81*q^1122+1472438343831*p^79*q^1124+135772075042*p^77*q^1126+11060933600*p^75 *q^1128+776147464*p^73*q^1130+60906604*p^71*q^1132+1999006*p^69*q^1134+261118*p ^67*q^1136+876*p^65*q^1138+34*p^61*q^1142+129452*p^102*q^1100+3431236*p^100*q^ 1102+34451337*p^98*q^1104+575906558*p^96*q^1106+7925241560*p^94*q^1108+ 98462096032*p^92*q^1110+1086603210153*p^90*q^1112+9577923974308*p^88*q^1114+ 46473511927806*p^86*q^1116+73192471080928*p^84*q^1118+30032805563415*p^82*q^ 1120+4746984445102*p^80*q^1122+483188870988*p^78*q^1124+41827045900*p^76*q^1126 +3270437618*p^74*q^1128+231757940*p^72*q^1130+12860402*p^70*q^1132+1072944*p^68 *q^1134+20308*p^66*q^1136+3572*p^103*q^1098+771758*p^101*q^1100+7184562*p^99*q^ 1102+148324116*p^97*q^1104+1991605074*p^95*q^1106+26477280390*p^93*q^1108+ 313735848526*p^91*q^1110+3187289829464*p^89*q^1112+22606630477754*p^87*q^1114+ 68111789975019*p^85*q^1116+56011762523006*p^83*q^1118+13577372098665*p^81*q^ 1120+1653398997812*p^79*q^1122+153037760386*p^77*q^1124+12590928586*p^75*q^1126 +893874356*p^73*q^1128+72719334*p^71*q^1130+1918032*p^69*q^1132+396518*p^67*q^ 1134+1388*p^65*q^1136+644*p^104*q^1096+82500*p^102*q^1098+2995788*p^100*q^1100+ 28227700*p^98*q^1102+512303996*p^96*q^1104+6968539894*p^94*q^1106+86869469682*p ^92*q^1108+969654486664*p^90*q^1110+8659079856527*p^88*q^1112+44058963744210*p^ 86*q^1114+73670953118204*p^84*q^1116+32323577928026*p^82*q^1118+5259673014682*p ^80*q^1120+543471314016*p^78*q^1122+47241909016*p^76*q^1124+3714723258*p^74*q^ 1126+251437520*p^72*q^1128+16341946*p^70*q^1130+932880*p^68*q^1132+36010*p^66*q ^1134+32*p^64*q^1136+2*p^60*q^1140+780*p^103*q^1096+543006*p^101*q^1098+7870996 *p^99*q^1100+123729450*p^97*q^1102+1740060176*p^95*q^1104+23385682478*p^93*q^ 1106+278046932972*p^91*q^1108+2863855374462*p^89*q^1110+20778864893941*p^87*q^ 1112+66551517561260*p^85*q^1114+58173383650238*p^83*q^1116+14891659931682*p^81* q^1118+1843935878639*p^79*q^1120+172703444428*p^77*q^1122+14190897818*p^75*q^ 1124+1029313492*p^73*q^1126+81470124*p^71*q^1128+2478632*p^69*q^1130+411342*p^ 67*q^1132+1556*p^65*q^1134+76*p^104*q^1094+40384*p^102*q^1096+2779038*p^100*q^ 1098+23107924*p^98*q^1100+460078264*p^96*q^1102+6134264086*p^94*q^1104+ 77080719668*p^92*q^1106+863359490871*p^90*q^1108+7862550804608*p^88*q^1110+ 41420570394237*p^86*q^1112+74340087498364*p^84*q^1114+34493714295587*p^82*q^ 1116+5844410863052*p^80*q^1118+610235161493*p^78*q^1120+53535035652*p^76*q^1122 +4234308279*p^74*q^1124+279907932*p^72*q^1126+21102044*p^70*q^1128+611544*p^68* q^1130+90062*p^66*q^1132+132*p^64*q^1134+4180*p^103*q^1094+477468*p^101*q^1096+ 7802720*p^99*q^1098+107290141*p^97*q^1100+1543665922*p^95*q^1102+20692041146*p^ 93*q^1104+247521529866*p^91*q^1106+2561817370096*p^89*q^1108+19146450167454*p^ 87*q^1110+64364385508773*p^85*q^1112+60615526153844*p^83*q^1114+16230721195974* p^81*q^1116+2067924833796*p^79*q^1118+194620018967*p^77*q^1120+16143745272*p^75 *q^1122+1199023568*p^73*q^1124+90527264*p^71*q^1126+3586954*p^69*q^1128+478760* p^67*q^1130+2504*p^65*q^1132+16820*p^102*q^1094+2089124*p^100*q^1096+21290824*p ^98*q^1098+398843683*p^96*q^1100+5360350030*p^94*q^1102+67986527866*p^92*q^1104 +769443429128*p^90*q^1106+7089093409302*p^88*q^1108+39037451206884*p^86*q^1110+ 74311246705622*p^84*q^1112+36951815886390*p^82*q^1114+6458978923587*p^80*q^1116 +686324437538*p^78*q^1118+60391592688*p^76*q^1120+4786897068*p^74*q^1122+ 312226060*p^72*q^1124+25703262*p^70*q^1126+471828*p^68*q^1128+104480*p^66*q^ 1130+48*p^64*q^1132+12*p^105*q^1090+2168*p^103*q^1092+299232*p^101*q^1094+ 7679644*p^99*q^1096+87053048*p^97*q^1098+1366495380*p^95*q^1100+18269285162*p^ 93*q^1102+219221241224*p^91*q^1104+2298619907982*p^89*q^1106+17536766432515*p^ 87*q^1108+62444326922248*p^85*q^1110+62578628645145*p^83*q^1112+17737880118704* p^81*q^1114+2303731571136*p^79*q^1116+219307277736*p^77*q^1118+18223398247*p^75 *q^1120+1379665046*p^73*q^1122+95988488*p^71*q^1124+4787322*p^69*q^1126+363994* p^67*q^1128+12870*p^65*q^1130+4*p^63*q^1132+18374*p^102*q^1092+1861864*p^100*q^ 1094+20264084*p^98*q^1096+354240070*p^96*q^1098+4714644711*p^94*q^1100+ 60362545392*p^92*q^1102+684516450014*p^90*q^1104+6422106633292*p^88*q^1106+ 36503767716824*p^86*q^1108+74443944095698*p^84*q^1110+39226262806445*p^82*q^ 1112+7163584910128*p^80*q^1114+769349658861*p^78*q^1116+68449050992*p^76*q^1118 +5439423897*p^74*q^1120+362216626*p^72*q^1122+30907532*p^70*q^1124+639948*p^68* q^1126+158484*p^66*q^1128+56*p^64*q^1130+8*p^105*q^1088+176*p^103*q^1090+168538 *p^101*q^1092+6848840*p^99*q^1094+73861376*p^97*q^1096+1208580386*p^95*q^1098+ 16134968970*p^93*q^1100+194756709832*p^91*q^1102+2053209629587*p^89*q^1104+ 16100400099722*p^87*q^1106+60019036558452*p^85*q^1108+64753041245840*p^83*q^ 1110+19267892470299*p^81*q^1112+2578620472076*p^79*q^1114+247073174753*p^77*q^ 1116+20729403076*p^75*q^1118+1585575284*p^73*q^1120+103082600*p^71*q^1122+ 6603914*p^69*q^1124+209558*p^67*q^1126+18938*p^65*q^1128+152*p^104*q^1088+21788 *p^102*q^1090+1508835*p^100*q^1092+19727778*p^98*q^1094+303703172*p^96*q^1096+ 4156299482*p^94*q^1098+53241404236*p^92*q^1100+610034414280*p^90*q^1102+ 5777163114633*p^88*q^1104+34225100187652*p^86*q^1106+73896587456060*p^84*q^1108 +41788294473162*p^82*q^1110+7897125451505*p^80*q^1112+865251813034*p^78*q^1114+ 77105304529*p^76*q^1116+6139597930*p^74*q^1118+421508490*p^72*q^1120+35048540*p ^70*q^1122+839052*p^68*q^1124+185516*p^66*q^1126+938*p^64*q^1128+12*p^105*q^ 1086+144*p^103*q^1088+93324*p^101*q^1090+5850352*p^99*q^1092+62781196*p^97*q^ 1094+1070832631*p^95*q^1096+14173316228*p^93*q^1098+172371743914*p^91*q^1100+ 1839047260392*p^89*q^1102+14686510805873*p^87*q^1104+57869626874136*p^85*q^1106 +66424874215514*p^83*q^1108+20972382497888*p^81*q^1110+2869366309054*p^79*q^ 1112+278214185672*p^77*q^1114+23456107884*p^75*q^1116+1807124484*p^73*q^1118+ 110585516*p^71*q^1120+8352030*p^69*q^1122+133306*p^67*q^1124+28844*p^65*q^1126+ 144*p^104*q^1086+4868*p^102*q^1088+1050318*p^100*q^1090+19015316*p^98*q^1092+ 260523120*p^96*q^1094+3649193290*p^94*q^1096+47294908648*p^92*q^1098+ 542394605167*p^90*q^1100+5222800507036*p^88*q^1102+31845320538405*p^86*q^1104+ 73525554298784*p^84*q^1106+44118995689549*p^82*q^1108+8731936150568*p^80*q^1110 +968845008252*p^78*q^1112+87239841130*p^76*q^1114+6937610606*p^74*q^1116+ 494265546*p^72*q^1118+37748406*p^70*q^1120+1352272*p^68*q^1122+137630*p^66*q^ 1124+2786*p^64*q^1126+834*p^103*q^1086+124344*p^101*q^1088+5470512*p^99*q^1090+ 57484482*p^97*q^1092+954873560*p^95*q^1094+12546365570*p^93*q^1096+153181908386 *p^91*q^1098+1640787605849*p^89*q^1100+13438638386010*p^87*q^1102+ 55239707354374*p^85*q^1104+68295845772396*p^83*q^1106+22687048169613*p^81*q^ 1108+3208089533998*p^79*q^1110+313389172268*p^77*q^1112+26706454300*p^75*q^1114 +2077296994*p^73*q^1116+125040544*p^71*q^1118+11126118*p^69*q^1120+120866*p^67* q^1122+58206*p^65*q^1124+20*p^63*q^1126+244*p^104*q^1084+3476*p^102*q^1086+ 603824*p^100*q^1088+16718078*p^98*q^1090+218141777*p^96*q^1092+3202634960*p^94* q^1094+41618710462*p^92*q^1096+482501289876*p^90*q^1098+4688785799345*p^88*q^ 1100+29709396845388*p^86*q^1102+72472860720798*p^84*q^1104+46746618335462*p^82* q^1106+9602409065652*p^80*q^1108+1088011347262*p^78*q^1110+98154523069*p^76*q^ 1112+7859890206*p^74*q^1114+567710084*p^72*q^1116+39439512*p^70*q^1118+1718380* p^68*q^1120+81142*p^66*q^1122+2392*p^64*q^1124+8*p^105*q^1082+1204*p^103*q^1084 +58586*p^101*q^1086+4518495*p^99*q^1088+52898058*p^97*q^1090+834646437*p^95*q^ 1092+11046348120*p^93*q^1094+135536154637*p^91*q^1096+1468608259100*p^89*q^1098 +12220160631795*p^87*q^1100+52941086913088*p^85*q^1102+69551196101238*p^83*q^ 1104+24596562339608*p^81*q^1106+3561959442325*p^79*q^1108+352684102506*p^77*q^ 1110+30176218830*p^75*q^1112+2324237304*p^73*q^1114+144029958*p^71*q^1116+ 12909932*p^69*q^1118+213688*p^67*q^1120+60808*p^65*q^1122+276*p^63*q^1124+24*p^ 104*q^1082+3318*p^102*q^1084+546008*p^100*q^1086+15951897*p^98*q^1088+188112682 *p^96*q^1090+2854163940*p^94*q^1092+36911407236*p^92*q^1094+428888464464*p^90*q ^1096+4229353622094*p^88*q^1098+27513621758904*p^86*q^1100+71616730152000*p^84* q^1102+49064515840652*p^82*q^1104+10591543234484*p^80*q^1106+1217970809608*p^78 *q^1108+111176321294*p^76*q^1110+8944740292*p^74*q^1112+675998806*p^72*q^1114+ 41286276*p^70*q^1116+2613322*p^68*q^1118+25968*p^66*q^1120+10454*p^64*q^1122+ 2258*p^103*q^1082+37636*p^101*q^1084+3258568*p^99*q^1086+47580936*p^97*q^1088+ 730109000*p^95*q^1090+9695211468*p^93*q^1092+120333034790*p^91*q^1094+ 1308655901471*p^89*q^1096+11143015490142*p^87*q^1098+50244024832360*p^85*q^1100 +71039345327470*p^83*q^1102+26480374682395*p^81*q^1104+3974317669400*p^79*q^ 1106+396513620240*p^77*q^1108+34184008758*p^75*q^1110+2626473765*p^73*q^1112+ 165125212*p^71*q^1114+14648388*p^69*q^1116+296026*p^67*q^1118+55608*p^65*q^1120 +52*p^63*q^1122+144*p^104*q^1080+5978*p^102*q^1082+409306*p^100*q^1084+14644274 *p^98*q^1086+166395714*p^96*q^1088+2516863938*p^94*q^1090+32602799328*p^92*q^ 1092+381479885752*p^90*q^1094+3791046591599*p^88*q^1096+25546110983426*p^86*q^ 1098+70105129098803*p^84*q^1100+51686837645404*p^82*q^1102+11609272364631*p^80* q^1104+1367034348488*p^78*q^1106+125106244375*p^76*q^1108+10204628094*p^74*q^ 1110+774050060*p^72*q^1112+44612370*p^70*q^1114+3545720*p^68*q^1116+24232*p^66* q^1118+15804*p^64*q^1120+12*p^62*q^1122+738*p^103*q^1080+21258*p^101*q^1082+ 2348156*p^99*q^1084+43483506*p^97*q^1086+620340274*p^95*q^1088+8534767502*p^93* q^1090+106249864533*p^91*q^1092+1169297186852*p^89*q^1094+10103306114955*p^87*q ^1096+47839333493564*p^85*q^1098+71872359861124*p^83*q^1100+28587286878270*p^81 *q^1102+4406268886550*p^79*q^1104+446186949274*p^77*q^1106+38573132522*p^75*q^ 1108+2947247564*p^73*q^1110+196469160*p^71*q^1112+15299212*p^69*q^1114+412888*p ^67*q^1116+21136*p^65*q^1118+948*p^63*q^1120+8*p^104*q^1078+12430*p^102*q^1080+ 261564*p^100*q^1082+12693584*p^98*q^1084+146265270*p^96*q^1086+2245411184*p^94* q^1088+28871321230*p^92*q^1090+338919133413*p^90*q^1092+3414217378056*p^88*q^ 1094+23560017843177*p^86*q^1096+68798375118068*p^84*q^1098+53924678204942*p^82* q^1100+12765788731532*p^80*q^1102+1527193960927*p^78*q^1104+141355778118*p^76*q ^1106+11606958918*p^74*q^1108+883529132*p^72*q^1110+47918802*p^70*q^1112+ 4550858*p^68*q^1114+47456*p^66*q^1116+22360*p^64*q^1118+1152*p^103*q^1078+23718 *p^101*q^1080+2019464*p^99*q^1082+41002208*p^97*q^1084+545574980*p^95*q^1086+ 7528312832*p^93*q^1088+94401508134*p^91*q^1090+1041343844326*p^89*q^1092+ 9186841185758*p^87*q^1094+45148350415907*p^85*q^1096+72865970715742*p^83*q^1098 +30636236396325*p^81*q^1100+4907301490024*p^79*q^1102+501643085670*p^77*q^1104+ 43792154280*p^75*q^1106+3354161963*p^73*q^1108+239296118*p^71*q^1110+16661918*p ^69*q^1112+728564*p^67*q^1114+2780*p^65*q^1116+2424*p^63*q^1118+8486*p^102*q^ 1078+177264*p^100*q^1080+9717344*p^98*q^1082+127856400*p^96*q^1084+1955361862*p ^94*q^1086+25400491252*p^92*q^1088+300922713730*p^90*q^1090+3054022631824*p^88* q^1092+21776588598252*p^86*q^1094+66903559252301*p^84*q^1096+56452612104564*p^ 82*q^1098+13949540493828*p^80*q^1100+1712206029924*p^78*q^1102+159037088950*p^ 76*q^1104+13156620876*p^74*q^1106+989958836*p^72*q^1108+52881384*p^70*q^1110+ 5129328*p^68*q^1112+43072*p^66*q^1114+16700*p^64*q^1116+28*p^62*q^1118+420*p^ 103*q^1076+46242*p^101*q^1078+1394762*p^99*q^1080+38116898*p^97*q^1082+ 472657366*p^95*q^1084+6660749376*p^93*q^1086+83406371011*p^91*q^1088+ 930316973536*p^89*q^1090+8305633936415*p^87*q^1092+42755555099024*p^85*q^1094+ 73228005614285*p^83*q^1096+32905674207720*p^81*q^1098+5427865161961*p^79*q^1100 +564096327192*p^77*q^1102+49285508316*p^75*q^1104+3815191016*p^73*q^1106+ 279973998*p^71*q^1108+16659186*p^69*q^1110+1063994*p^67*q^1112+6188*p^65*q^1114 +4676*p^63*q^1116+6412*p^102*q^1076+111794*p^100*q^1078+8129934*p^98*q^1080+ 116143340*p^96*q^1082+1718592748*p^94*q^1084+22455608516*p^92*q^1086+ 267238169526*p^90*q^1088+2745239241298*p^88*q^1090+19997482231185*p^86*q^1092+ 65210065094960*p^84*q^1094+58540547089594*p^82*q^1096+15283909491520*p^80*q^ 1098+1911661794672*p^78*q^1100+179684826596*p^76*q^1102+14990279814*p^74*q^1104 +1113219800*p^72*q^1106+64775656*p^70*q^1108+6059210*p^68*q^1110+103770*p^66*q^ 1112+2236*p^64*q^1114+216*p^62*q^1116+18*p^103*q^1074+51954*p^101*q^1076+ 1115930*p^99*q^1078+33688760*p^97*q^1080+412434474*p^95*q^1082+5898051685*p^93* q^1084+74092721262*p^91*q^1086+827459978281*p^89*q^1088+7536236089060*p^87*q^ 1090+40109849336679*p^85*q^1092+73752179325096*p^83*q^1094+35090966938599*p^81* q^1096+6031818785420*p^79*q^1098+633038865901*p^77*q^1100+55844410944*p^75*q^ 1102+4350225277*p^73*q^1104+328311494*p^71*q^1106+16433854*p^69*q^1108+1393684* p^67*q^1110+4420*p^65*q^1112+7600*p^63*q^1114+8*p^104*q^1072+5528*p^102*q^1074+ 153836*p^100*q^1076+6234566*p^98*q^1078+105605852*p^96*q^1080+1502391252*p^94*q ^1082+19753917502*p^92*q^1084+237082167438*p^90*q^1086+2453055422333*p^88*q^ 1088+18409517134436*p^86*q^1090+62976061191782*p^84*q^1092+60894955191014*p^82* q^1094+16645298768994*p^80*q^1096+2139949508508*p^78*q^1098+202198071621*p^76*q ^1100+16998152262*p^74*q^1102+1249412206*p^72*q^1104+77885218*p^70*q^1106+ 6681400*p^68*q^1108+178136*p^66*q^1110+504*p^64*q^1112+436*p^62*q^1114+40*p^103 *q^1072+33868*p^101*q^1074+660304*p^99*q^1076+28461488*p^97*q^1078+356967806*p^ 95*q^1080+5189498570*p^93*q^1082+65364284317*p^91*q^1084+738301010398*p^89*q^ 1086+6795673056484*p^87*q^1088+37786555990750*p^85*q^1090+73569393396653*p^83*q ^1092+37514975779984*p^81*q^1094+6657073390738*p^79*q^1096+711478600900*p^77*q^ 1098+62822262619*p^75*q^1100+4953148846*p^73*q^1102+370415898*p^71*q^1104+ 17238604*p^69*q^1106+1666748*p^67*q^1108+8520*p^65*q^1110+2160*p^63*q^1112+8*p^ 61*q^1114+852*p^102*q^1072+200282*p^100*q^1074+5184635*p^98*q^1076+98146842*p^ 96*q^1078+1320099433*p^94*q^1080+17510864112*p^92*q^1082+210474822923*p^90*q^ 1084+2202273233422*p^88*q^1086+16845685489536*p^86*q^1088+60995076339274*p^84*q ^1090+62717942799634*p^82*q^1092+18169859768182*p^80*q^1094+2385264230735*p^78* q^1096+228292152908*p^76*q^1098+19262411712*p^74*q^1100+1414224926*p^72*q^1102+ 97749890*p^70*q^1104+6570136*p^68*q^1106+297588*p^66*q^1108+620*p^64*q^1110+ 1860*p^62*q^1112+128*p^103*q^1070+37322*p^101*q^1072+626874*p^99*q^1074+ 23849660*p^97*q^1076+316787194*p^95*q^1078+4589819416*p^93*q^1080+57977886848*p ^91*q^1082+656468887858*p^89*q^1084+6147490850082*p^87*q^1086+35268576579490*p^ 85*q^1088+73592391571634*p^83*q^1090+39779570837717*p^81*q^1092+7382743548164*p ^79*q^1094+798370513465*p^77*q^1096+71205249274*p^75*q^1098+5687586088*p^73*q^ 1100+423607516*p^71*q^1102+19395138*p^69*q^1104+2278654*p^67*q^1106+21162*p^65* q^1108+16*p^63*q^1110+12*p^61*q^1112+856*p^102*q^1070+163184*p^100*q^1072+ 3645444*p^98*q^1074+88108600*p^96*q^1076+1143434124*p^94*q^1078+15392337505*p^ 92*q^1080+186741687914*p^90*q^1082+1964663556505*p^88*q^1084+15450630765264*p^ 86*q^1086+58535600978664*p^84*q^1088+64834347492214*p^82*q^1090+19703397302200* p^80*q^1092+2666013573888*p^78*q^1094+256362549883*p^76*q^1096+21746325544*p^74 *q^1098+1589653720*p^72*q^1100+114003896*p^70*q^1102+6245028*p^68*q^1104+346004 *p^66*q^1106+244*p^64*q^1108+1188*p^62*q^1110+52*p^103*q^1068+14502*p^101*q^ 1070+642348*p^99*q^1072+19766946*p^97*q^1074+280636084*p^95*q^1076+4036288196*p ^93*q^1078+51201330451*p^91*q^1080+584935151462*p^89*q^1082+5533996934316*p^87* q^1084+33032822632380*p^85*q^1086+72917190964324*p^83*q^1088+42303454736832*p^ 81*q^1090+8126632320193*p^79*q^1092+896888538734*p^77*q^1094+80262750037*p^75*q ^1096+6497815444*p^73*q^1098+470240756*p^71*q^1100+24680560*p^69*q^1102+2491554 *p^67*q^1104+43648*p^65*q^1106+68*p^63*q^1108+216*p^61*q^1110+916*p^102*q^1068+ 170782*p^100*q^1070+2837648*p^98*q^1072+78027318*p^96*q^1074+1001647736*p^94*q^ 1076+13654334726*p^92*q^1078+165495102372*p^90*q^1080+1762148936476*p^88*q^1082 +14087469057006*p^86*q^1084+56322235073104*p^84*q^1086+66349646217646*p^82*q^ 1088+21431429996124*p^80*q^1090+2966167596787*p^78*q^1092+289201428096*p^76*q^ 1094+24585049768*p^74*q^1096+1819421064*p^72*q^1098+136484694*p^70*q^1100+ 5635818*p^68*q^1102+544992*p^66*q^1104+1800*p^64*q^1106+9020*p^101*q^1068+ 626500*p^99*q^1070+16239636*p^97*q^1072+255911320*p^95*q^1074+3562686126*p^93*q ^1076+45322598372*p^91*q^1078+520086601436*p^89*q^1080+4996172157240*p^87*q^ 1082+30691414131134*p^85*q^1084+72394083296462*p^83*q^1086+44611252792842*p^81* q^1088+8986255965576*p^79*q^1090+1004776694853*p^77*q^1092+90904575274*p^75*q^ 1094+7408875311*p^73*q^1096+526035802*p^71*q^1098+30748806*p^69*q^1100+2755012* p^67*q^1102+65664*p^65*q^1104+368*p^61*q^1108+1108*p^102*q^1066+118852*p^100*q^ 1068+2493460*p^98*q^1070+66791072*p^96*q^1072+871597366*p^94*q^1074+12014110245 *p^92*q^1076+146887961314*p^90*q^1078+1569884707650*p^88*q^1080+12876853591504* p^86*q^1082+53714119707710*p^84*q^1084+68107618242530*p^82*q^1086+ 23151696973763*p^80*q^1088+3311694939838*p^78*q^1090+324977400773*p^76*q^1092+ 27786796900*p^74*q^1094+2086625091*p^72*q^1096+157766312*p^70*q^1098+5880770*p^ 68*q^1100+701498*p^66*q^1102+3442*p^64*q^1104+4*p^62*q^1106+8*p^60*q^1108+6056* p^101*q^1066+625140*p^99*q^1068+12145976*p^97*q^1070+229826352*p^95*q^1072+ 3113610802*p^93*q^1074+39970185442*p^91*q^1076+462755394546*p^89*q^1078+ 4486959548948*p^87*q^1080+28612497539142*p^85*q^1082+71254912190742*p^83*q^1084 +47161316437006*p^81*q^1086+9864528312785*p^79*q^1088+1127466380326*p^77*q^1090 +102206800128*p^75*q^1092+8389497660*p^73*q^1094+581347707*p^71*q^1096+37260140 *p^69*q^1098+2402742*p^67*q^1100+86976*p^65*q^1102+80*p^63*q^1104+128*p^102*q^ 1064+67768*p^100*q^1066+2115592*p^98*q^1068+58741466*p^96*q^1070+767327308*p^94 *q^1072+10665588606*p^92*q^1074+130243796809*p^90*q^1076+1406623178560*p^88*q^ 1078+11704528617229*p^86*q^1080+51374800500882*p^84*q^1082+69232852680565*p^82* q^1084+25063044650076*p^80*q^1086+3678976686120*p^78*q^1088+366331402200*p^76*q ^1090+31459155105*p^74*q^1092+2418631816*p^72*q^1094+178202096*p^70*q^1096+ 7376574*p^68*q^1098+955320*p^66*q^1100+11128*p^64*q^1102+60*p^60*q^1106+9108*p^ 101*q^1064+594556*p^99*q^1066+10631544*p^97*q^1068+205826270*p^95*q^1070+ 2743074759*p^93*q^1072+35430170488*p^91*q^1074+410923480842*p^89*q^1076+ 4043858486232*p^87*q^1078+26450501692048*p^85*q^1080+70269636668542*p^83*q^1082 +49449218662880*p^81*q^1084+10876444535168*p^79*q^1086+1261808125899*p^77*q^ 1088+115740334630*p^75*q^1090+9524721493*p^73*q^1092+656305524*p^71*q^1094+ 47803266*p^69*q^1096+2055830*p^67*q^1098+137022*p^65*q^1100+100*p^63*q^1102+28* p^102*q^1062+48264*p^100*q^1064+2070448*p^98*q^1066+46892424*p^96*q^1068+ 679128036*p^94*q^1070+9371139291*p^92*q^1072+115334739894*p^90*q^1074+ 1252259514263*p^88*q^1076+10664267436894*p^86*q^1078+48690119415949*p^84*q^1080 +70602218131934*p^82*q^1082+26956102357073*p^80*q^1084+4099057966242*p^78*q^ 1086+411275568102*p^76*q^1088+35561488972*p^74*q^1090+2767615090*p^72*q^1092+ 197380716*p^70*q^1094+8486824*p^68*q^1096+1033286*p^66*q^1098+10836*p^64*q^1100 +8*p^103*q^1060+3780*p^101*q^1062+391510*p^99*q^1064+8066330*p^97*q^1066+ 183723098*p^95*q^1068+2388925912*p^93*q^1070+31232009171*p^91*q^1072+ 365768272676*p^89*q^1074+3625334538489*p^87*q^1076+24551851747976*p^85*q^1078+ 68672473268967*p^83*q^1080+51977073748832*p^81*q^1082+11902988218261*p^79*q^ 1084+1413998446720*p^77*q^1086+130147056737*p^75*q^1088+10745307024*p^73*q^1090 +744538336*p^71*q^1092+55828806*p^69*q^1094+1955096*p^67*q^1096+217038*p^65*q^ 1098+1136*p^63*q^1100+4*p^59*q^1104+44498*p^100*q^1062+2157040*p^98*q^1064+ 40442600*p^96*q^1066+607564594*p^94*q^1068+8308269642*p^92*q^1070+102273966950* p^90*q^1072+1120460254114*p^88*q^1074+9666015859990*p^86*q^1076+46298090990960* p^84*q^1078+71248881946905*p^82*q^1080+29058917375380*p^80*q^1082+4544298784469 *p^78*q^1084+463731525682*p^76*q^1086+40245202464*p^74*q^1088+3192494230*p^72*q ^1090+218952245*p^70*q^1092+11885552*p^68*q^1094+957994*p^66*q^1096+18022*p^64* q^1098+1030*p^101*q^1060+317546*p^99*q^1062+7054768*p^97*q^1064+159580106*p^95* q^1066+2096946584*p^93*q^1068+27669369844*p^91*q^1070+324534744941*p^89*q^1072+ 3261071190830*p^87*q^1074+22601803172237*p^85*q^1076+67271589797596*p^83*q^1078 +54156970750906*p^81*q^1080+13081702138608*p^79*q^1082+1580938521536*p^77*q^ 1084+147042134644*p^75*q^1086+12173492991*p^73*q^1088+864146576*p^71*q^1090+ 65380872*p^69*q^1092+1851952*p^67*q^1094+325756*p^65*q^1096+1638*p^63*q^1098+8* p^104*q^1056+128*p^102*q^1058+40610*p^100*q^1060+1733868*p^98*q^1062+32882166*p ^96*q^1064+542903812*p^94*q^1066+7296732694*p^92*q^1068+90563131582*p^90*q^1070 +996648426358*p^88*q^1072+8782530708482*p^86*q^1074+43633252367117*p^84*q^1076+ 72168139141684*p^82*q^1078+31088928819444*p^80*q^1080+5055181613746*p^78*q^1082 +519787271631*p^76*q^1084+45569117128*p^74*q^1086+3625331051*p^72*q^1088+ 236894556*p^70*q^1090+14976970*p^68*q^1092+857066*p^66*q^1094+30320*p^64*q^1096 +36*p^62*q^1098+326*p^101*q^1058+207162*p^99*q^1060+6826886*p^97*q^1062+ 136439800*p^95*q^1064+1835290370*p^93*q^1066+24419206883*p^91*q^1068+ 288528342106*p^89*q^1070+2919586858752*p^87*q^1072+20880818235784*p^85*q^1074+ 65306138314704*p^83*q^1076+56582885925514*p^81*q^1078+14271368777895*p^79*q^ 1080+1769712064708*p^77*q^1082+165386707092*p^75*q^1084+13742311722*p^73*q^1086 +999574790*p^71*q^1088+74782910*p^69*q^1090+2369014*p^67*q^1092+343800*p^65*q^ 1094+1460*p^63*q^1096+4*p^104*q^1054+20*p^102*q^1056+15878*p^100*q^1058+1503398 *p^98*q^1060+26260780*p^96*q^1062+486241152*p^94*q^1064+6439374230*p^92*q^1066+ 80131368336*p^90*q^1068+890830804278*p^88*q^1070+7940336378271*p^86*q^1072+ 41249618820860*p^84*q^1074+72345604362984*p^82*q^1076+33357502238634*p^80*q^ 1078+5588939628483*p^78*q^1080+585424985240*p^76*q^1082+51497019872*p^74*q^1084 +4130072806*p^72*q^1086+264358921*p^70*q^1088+18573180*p^68*q^1090+594488*p^66* q^1092+69892*p^64*q^1094+240*p^62*q^1096+104*p^103*q^1054+904*p^101*q^1056+ 231450*p^99*q^1058+6261152*p^97*q^1060+119682006*p^95*q^1062+1630076726*p^93*q^ 1064+21658314824*p^91*q^1066+256223146609*p^89*q^1068+2623087574188*p^87*q^1070 +19151505664204*p^85*q^1072+63525270182746*p^83*q^1074+58579673753457*p^81*q^ 1076+15630714566114*p^79*q^1078+1976139383538*p^77*q^1080+186894388802*p^75*q^ 1082+15593240279*p^73*q^1084+1171656870*p^71*q^1086+83393854*p^69*q^1088+ 3399596*p^67*q^1090+408520*p^65*q^1092+2446*p^63*q^1094+8*p^104*q^1052+7826*p^ 100*q^1056+1074334*p^98*q^1058+22844238*p^96*q^1060+425672680*p^94*q^1062+ 5626857033*p^92*q^1064+70903597994*p^90*q^1066+791280759790*p^88*q^1068+ 7193096469340*p^86*q^1070+38668081201504*p^84*q^1072+72740771885860*p^82*q^1074 +35519351280298*p^80*q^1076+6204046474082*p^78*q^1078+656031003385*p^76*q^1080+ 58193156662*p^74*q^1082+4656759107*p^72*q^1084+299075116*p^70*q^1086+22427018*p ^68*q^1088+469838*p^66*q^1090+80558*p^64*q^1092+64*p^62*q^1094+76*p^103*q^1052+ 628*p^101*q^1054+147194*p^99*q^1056+5521652*p^97*q^1058+97521263*p^95*q^1060+ 1439767474*p^93*q^1062+19089595498*p^91*q^1064+227615789946*p^89*q^1066+ 2344572030709*p^87*q^1068+17630296767050*p^85*q^1070+61281799447702*p^83*q^1072 +60808181406142*p^81*q^1074+16986784640272*p^79*q^1076+2209851634080*p^77*q^ 1078+209862718986*p^75*q^1080+17644467442*p^73*q^1082+1345336410*p^71*q^1084+ 87893648*p^69*q^1086+4289886*p^67*q^1088+311314*p^65*q^1090+9658*p^63*q^1092+16 *p^61*q^1094+544*p^102*q^1052+4856*p^100*q^1054+953298*p^98*q^1056+20633934*p^ 96*q^1058+381166238*p^94*q^1060+4969977184*p^92*q^1062+62857372286*p^90*q^1064+ 706881493128*p^88*q^1066+6488461982646*p^86*q^1068+36355518610720*p^84*q^1070+ 72430518632370*p^82*q^1072+37895556234056*p^80*q^1074+6845768799070*p^78*q^1076 +737851224444*p^76*q^1078+65776452540*p^74*q^1080+5287716732*p^72*q^1082+ 349513680*p^70*q^1084+27713562*p^68*q^1086+659028*p^66*q^1088+129868*p^64*q^ 1090+94*p^62*q^1092+144*p^103*q^1050+52*p^101*q^1052+86594*p^99*q^1054+4728582* p^97*q^1056+82627210*p^95*q^1058+1275311523*p^93*q^1060+16902816808*p^91*q^1062 +201707573197*p^89*q^1064+2103707731258*p^87*q^1066+16103518987084*p^85*q^1068+ 59238599913802*p^83*q^1070+62552878437799*p^81*q^1072+18535530177120*p^79*q^ 1074+2462739887044*p^77*q^1076+237188718580*p^75*q^1078+20036675772*p^73*q^1080 +1551044222*p^71*q^1082+95898318*p^69*q^1084+5595084*p^67*q^1086+190288*p^65*q^ 1088+13174*p^63*q^1090+736*p^102*q^1050+7056*p^100*q^1052+862638*p^98*q^1054+ 18382320*p^96*q^1056+329446128*p^94*q^1058+4365892032*p^92*q^1060+55580493696*p ^90*q^1062+627887251357*p^88*q^1064+5865974557190*p^86*q^1066+33895846240520*p^ 84*q^1068+72321012148802*p^82*q^1070+40143978339502*p^80*q^1072+7577435214184*p ^78*q^1074+826385562184*p^76*q^1076+74219268154*p^74*q^1078+5952545289*p^72*q^ 1080+408015804*p^70*q^1082+30778682*p^68*q^1084+816958*p^66*q^1086+141688*p^64* q^1088+730*p^62*q^1090+8*p^103*q^1048+1548*p^101*q^1050+40114*p^99*q^1052+ 3675738*p^97*q^1054+69179754*p^95*q^1056+1134868498*p^93*q^1058+14848176892*p^ 91*q^1060+179135569650*p^89*q^1062+1877709610905*p^87*q^1064+14770514125762*p^ 85*q^1066+56760422989860*p^83*q^1068+64526466374728*p^81*q^1070+20068799905486* p^79*q^1072+2750171152456*p^77*q^1074+266199109749*p^75*q^1076+22715944948*p^73 *q^1078+1764015188*p^71*q^1080+104160428*p^69*q^1082+7213066*p^67*q^1084+133670 *p^65*q^1086+23668*p^63*q^1088+1184*p^102*q^1048+1776*p^100*q^1050+595138*p^98* q^1052+16682588*p^96*q^1054+285430135*p^94*q^1056+3846011444*p^92*q^1058+ 49267169660*p^90*q^1060+560373290976*p^88*q^1062+5280515042627*p^86*q^1064+ 31722030289814*p^84*q^1066+71485277313701*p^82*q^1068+42601548569438*p^80*q^ 1070+8338268970728*p^78*q^1072+928636253260*p^76*q^1074+83705743956*p^74*q^1076 +6744601152*p^72*q^1078+480098129*p^70*q^1080+33688906*p^68*q^1082+1200626*p^66 *q^1084+109392*p^64*q^1086+1786*p^62*q^1088+3948*p^101*q^1048+46420*p^99*q^1050 +3600578*p^97*q^1052+61448418*p^95*q^1054+1013005346*p^93*q^1056+13173325440*p^ 91*q^1058+158776100114*p^89*q^1060+1682162106320*p^87*q^1062+13449580426036*p^ 85*q^1064+54519784263548*p^83*q^1066+65910105073920*p^81*q^1068+21812769984170* p^79*q^1070+3061120046840*p^77*q^1072+300557091524*p^75*q^1074+25795433730*p^73 *q^1076+2022262608*p^71*q^1078+119171596*p^69*q^1080+9378664*p^67*q^1082+136314 *p^65*q^1084+42094*p^63*q^1086+24*p^61*q^1088+392*p^102*q^1046+3712*p^100*q^ 1048+362108*p^98*q^1050+13565677*p^96*q^1052+239211304*p^94*q^1054+3374502097*p ^92*q^1056+43497237560*p^90*q^1058+497064173892*p^88*q^1060+4763472933588*p^86* q^1062+29433060740189*p^84*q^1064+70912777186496*p^82*q^1066+44854730255167*p^ 80*q^1068+9207661673694*p^78*q^1070+1038653441482*p^76*q^1072+94452798060*p^74* q^1074+7630910245*p^72*q^1076+555079398*p^70*q^1078+35395812*p^68*q^1080+ 1453034*p^66*q^1082+62126*p^64*q^1084+2064*p^62*q^1086+8*p^103*q^1044+6008*p^ 101*q^1046+25390*p^99*q^1048+2913678*p^97*q^1050+54524458*p^95*q^1052+894256140 *p^93*q^1054+11588468065*p^91*q^1056+140972712290*p^89*q^1058+1500674218124*p^ 87*q^1060+12291153893136*p^85*q^1062+51933989254030*p^83*q^1064+67534904781968* p^81*q^1066+23509927244380*p^79*q^1068+3412134420766*p^77*q^1070+337200719712*p ^75*q^1072+29176938430*p^73*q^1074+2259636753*p^71*q^1076+137674456*p^69*q^1078 +11022956*p^67*q^1080+217948*p^65*q^1082+42720*p^63*q^1084+176*p^61*q^1086+24*p ^102*q^1044+12556*p^100*q^1046+257884*p^98*q^1048+12526214*p^96*q^1050+ 205316528*p^94*q^1052+3006249536*p^92*q^1054+38510984996*p^90*q^1056+ 443346602468*p^88*q^1058+4279629974866*p^86*q^1060+27403745886850*p^84*q^1062+ 69624168673357*p^82*q^1064+47350203475408*p^80*q^1066+10100647012105*p^78*q^ 1068+1166686702224*p^76*q^1070+106557957838*p^74*q^1072+8710232544*p^72*q^1074+ 656425884*p^70*q^1076+38055306*p^68*q^1078+2125864*p^66*q^1080+24788*p^64*q^ 1082+7780*p^62*q^1084+4760*p^101*q^1044+17312*p^99*q^1046+2254338*p^97*q^1048+ 46544946*p^95*q^1050+786030941*p^93*q^1052+10202193264*p^91*q^1054+124900114153 *p^89*q^1056+1342943511542*p^87*q^1058+11159730252915*p^85*q^1060+ 49567314453072*p^83*q^1062+68530996586199*p^81*q^1064+25439097683668*p^79*q^ 1066+3788757592452*p^77*q^1068+380177687870*p^75*q^1070+32986414149*p^73*q^1072 +2555028380*p^71*q^1074+159790394*p^69*q^1076+12434192*p^67*q^1078+277936*p^65* q^1080+38548*p^63*q^1082+48*p^61*q^1084+152*p^102*q^1042+21184*p^100*q^1044+ 211438*p^98*q^1046+11161874*p^96*q^1048+180814086*p^94*q^1050+2658508677*p^92*q ^1052+34120920254*p^90*q^1054+393272027806*p^88*q^1056+3853840255650*p^86*q^ 1058+25316436471274*p^84*q^1060+68551050483708*p^82*q^1062+49569217327629*p^80* q^1064+11123647972416*p^78*q^1066+1303843578729*p^76*q^1068+120282480852*p^74*q ^1070+9911946742*p^72*q^1072+754773686*p^70*q^1074+41486506*p^68*q^1076+2909038 *p^66*q^1078+29216*p^64*q^1080+9764*p^62*q^1082+8*p^60*q^1084+908*p^101*q^1042+ 30806*p^99*q^1044+1480804*p^97*q^1046+40467752*p^95*q^1048+669756516*p^93*q^ 1050+8957318849*p^91*q^1052+110571068158*p^89*q^1054+1195827642384*p^87*q^1056+ 10167923321674*p^85*q^1058+46938922112033*p^83*q^1060+69731884447490*p^81*q^ 1062+27302607905441*p^79*q^1064+4216615790558*p^77*q^1066+426226565630*p^75*q^ 1068+37235345942*p^73*q^1070+2867859070*p^71*q^1072+189426222*p^69*q^1074+ 13134926*p^67*q^1076+332904*p^65*q^1078+11072*p^63*q^1080+808*p^61*q^1082+16*p^ 102*q^1040+27528*p^100*q^1042+120736*p^98*q^1044+9749718*p^96*q^1046+155967245* p^94*q^1048+2383008098*p^92*q^1050+30198867706*p^90*q^1052+350763208798*p^88*q^ 1054+3457808795279*p^86*q^1056+23472753526860*p^84*q^1058+66872345126459*p^82*q ^1060+51984622440542*p^80*q^1062+12164798382099*p^78*q^1064+1462034122122*p^76* q^1066+135425099046*p^74*q^1068+11309582086*p^72*q^1070+856338194*p^70*q^1072+ 45408874*p^68*q^1074+3717308*p^66*q^1076+58880*p^64*q^1078+15170*p^62*q^1080+ 1420*p^101*q^1040+56040*p^99*q^1042+1250310*p^97*q^1044+37232042*p^95*q^1046+ 589622226*p^93*q^1048+7927162210*p^91*q^1050+98029274298*p^89*q^1052+ 1069309395718*p^87*q^1054+9203823945800*p^85*q^1056+44542153684580*p^83*q^1058+ 70269043495311*p^81*q^1060+29401782387732*p^79*q^1062+4673820713120*p^77*q^1064 +480607877344*p^75*q^1066+42185076568*p^73*q^1068+3273659414*p^71*q^1070+ 231839167*p^69*q^1072+14800642*p^67*q^1074+567342*p^65*q^1076+2636*p^63*q^1078+ 1368*p^61*q^1080+12544*p^100*q^1040+115196*p^98*q^1042+7516178*p^96*q^1044+ 132093384*p^94*q^1046+2080906472*p^92*q^1048+26616639276*p^90*q^1050+ 310566949756*p^88*q^1052+3107584326312*p^86*q^1054+21584332374213*p^84*q^1056+ 65413408645920*p^82*q^1058+54102027288296*p^80*q^1060+13349175995894*p^78*q^ 1062+1631815960833*p^76*q^1064+152727578126*p^74*q^1066+12766152784*p^72*q^1068 +958388524*p^70*q^1070+50362638*p^68*q^1072+4067606*p^66*q^1074+41424*p^64*q^ 1076+7438*p^62*q^1078+32*p^60*q^1080+496*p^101*q^1038+92962*p^99*q^1040+805590* p^97*q^1042+33123296*p^95*q^1044+512367012*p^93*q^1046+7002650607*p^91*q^1048+ 86965652450*p^89*q^1050+952240597189*p^87*q^1052+8365173845954*p^85*q^1054+ 41940114358667*p^83*q^1056+71019168510256*p^81*q^1058+31401194326944*p^79*q^ 1060+5189377272486*p^77*q^1062+538559471013*p^75*q^1064+47554385322*p^73*q^1066 +3734160178*p^71*q^1068+271646000*p^69*q^1070+14891114*p^67*q^1072+861488*p^65* q^1074+10300*p^63*q^1076+3226*p^61*q^1078+9524*p^100*q^1038+138278*p^98*q^1040+ 5988486*p^96*q^1042+118089034*p^94*q^1044+1836250120*p^92*q^1046+23520541575*p^ 90*q^1048+276687465502*p^88*q^1050+2782743612729*p^86*q^1052+19931654776730*p^ 84*q^1054+63352933039063*p^82*q^1056+56406707571274*p^80*q^1058+14550426265289* p^78*q^1060+1828404567672*p^76*q^1062+171957643746*p^74*q^1064+14569514058*p^72 *q^1066+1076888725*p^70*q^1068+61752366*p^68*q^1070+5075500*p^66*q^1072+74908*p ^64*q^1074+564*p^62*q^1076+136*p^60*q^1078+80*p^101*q^1036+80546*p^99*q^1038+ 651078*p^97*q^1040+29566190*p^95*q^1042+441023394*p^93*q^1044+6224329808*p^91*q ^1046+77046863287*p^89*q^1048+850485044026*p^87*q^1050+7555633492110*p^85*q^ 1052+39581298336458*p^83*q^1054+71063710813130*p^81*q^1056+33649615730676*p^79* q^1058+5738627799843*p^77*q^1060+606129630694*p^75*q^1062+53706600272*p^73*q^ 1064+4259004500*p^71*q^1066+316055786*p^69*q^1068+15191166*p^67*q^1070+1037894* p^65*q^1072+7714*p^63*q^1074+3346*p^61*q^1076+8*p^102*q^1034+6140*p^100*q^1036+ 221640*p^98*q^1038+4548962*p^96*q^1040+103816898*p^94*q^1042+1611746718*p^92*q^ 1044+20734865658*p^90*q^1046+244958491679*p^88*q^1048+2497782518188*p^86*q^1050 +18256861342170*p^84*q^1052+61569732863354*p^82*q^1054+58295410125806*p^80*q^ 1056+15916264368792*p^78*q^1058+2037686153523*p^76*q^1060+194063445156*p^74*q^ 1062+16477279631*p^72*q^1064+1219957044*p^70*q^1066+75055452*p^68*q^1068+ 5528610*p^66*q^1070+145228*p^64*q^1072+1008*p^62*q^1074+316*p^60*q^1076+36*p^ 101*q^1034+54588*p^99*q^1036+498896*p^97*q^1038+24280932*p^95*q^1040+379618368* p^93*q^1042+5479916770*p^91*q^1044+68241967034*p^89*q^1046+756536739587*p^87*q^ 1048+6847540799812*p^85*q^1050+37072081887004*p^83*q^1052+71333932523940*p^81*q ^1054+35755697222912*p^79*q^1056+6358839774830*p^77*q^1058+678652726030*p^75*q^ 1060+60551026298*p^73*q^1062+4844587143*p^71*q^1064+353881190*p^69*q^1066+ 16141276*p^67*q^1068+1314584*p^65*q^1070+6004*p^63*q^1072+350*p^61*q^1074+8*p^ 59*q^1076+1764*p^100*q^1034+288182*p^98*q^1036+3460616*p^96*q^1038+95053859*p^ 94*q^1040+1414697280*p^92*q^1042+18350059585*p^90*q^1044+218109756434*p^88*q^ 1046+2234752669163*p^86*q^1048+16791913169762*p^84*q^1050+59259934943275*p^82*q ^1052+60400578632826*p^80*q^1054+17273853684791*p^78*q^1056+2279103038636*p^76* q^1058+218328467415*p^74*q^1060+18684527374*p^72*q^1062+1382308872*p^70*q^1064+ 93944158*p^68*q^1066+5528502*p^66*q^1068+215796*p^64*q^1070+1886*p^62*q^1072+ 884*p^60*q^1074+128*p^101*q^1032+44896*p^99*q^1034+565926*p^97*q^1036+20432844* p^95*q^1038+331977678*p^93*q^1040+4872093356*p^91*q^1042+60422959042*p^89*q^ 1044+675424952722*p^87*q^1046+6170159107213*p^85*q^1048+34796725074942*p^83*q^ 1050+70882793339211*p^81*q^1052+38119503657742*p^79*q^1054+7014620016377*p^77*q ^1056+763984881952*p^75*q^1058+68388658562*p^73*q^1060+5576254448*p^71*q^1062+ 405265820*p^69*q^1064+18359296*p^67*q^1066+1810504*p^65*q^1068+16372*p^63*q^ 1070+32*p^61*q^1072+8*p^59*q^1074+1080*p^100*q^1032+244252*p^98*q^1034+2604336* p^96*q^1036+83662652*p^94*q^1038+1225098955*p^92*q^1040+16175995226*p^90*q^1042 +193117207581*p^88*q^1044+2002144408774*p^86*q^1046+15332285040618*p^84*q^1048+ 57193116733844*p^82*q^1050+62033052400791*p^80*q^1052+18824774106646*p^78*q^ 1054+2535936594639*p^76*q^1056+245819259498*p^74*q^1058+21051484471*p^72*q^1060 +1561398416*p^70*q^1062+108742436*p^68*q^1064+5557668*p^66*q^1066+251514*p^64*q ^1068+232*p^62*q^1070+134*p^60*q^1072+48*p^101*q^1030+19780*p^99*q^1032+723782* p^97*q^1034+15878272*p^95*q^1036+290870518*p^93*q^1038+4285713585*p^91*q^1040+ 53508856160*p^89*q^1042+599877127634*p^87*q^1044+5581050806134*p^85*q^1046+ 32424701938023*p^83*q^1048+70647754688218*p^81*q^1050+40283271159368*p^79*q^ 1052+7754609934146*p^77*q^1054+854501776750*p^75*q^1056+77245418640*p^73*q^1058 +6337498850*p^71*q^1060+453703154*p^69*q^1062+23239655*p^67*q^1064+1889212*p^65 *q^1066+33010*p^63*q^1068+296*p^61*q^1070+128*p^59*q^1072+968*p^100*q^1030+ 223870*p^98*q^1032+2121012*p^96*q^1034+73848579*p^94*q^1036+1069043464*p^92*q^ 1038+14350494350*p^90*q^1040+171780068150*p^88*q^1042+1789888815136*p^86*q^1044 +14051063164716*p^84*q^1046+54726242118968*p^82*q^1048+63825620946320*p^80*q^ 1050+20355630193837*p^78*q^1052+2831932587318*p^76*q^1054+276405125540*p^74*q^ 1056+23823294802*p^72*q^1058+1794803437*p^70*q^1060+128476270*p^68*q^1062+ 5172706*p^66*q^1064+431652*p^64*q^1066+1116*p^62*q^1068+13928*p^99*q^1030+ 777012*p^97*q^1032+12983424*p^95*q^1034+261121110*p^93*q^1036+3796580754*p^91*q ^1038+47297834434*p^89*q^1040+535480658816*p^87*q^1042+5017470301029*p^85*q^ 1044+30288435270872*p^83*q^1046+69717682046030*p^81*q^1048+42698858231132*p^79* q^1050+8529062953996*p^77*q^1052+960728930566*p^75*q^1054+87214139784*p^73*q^ 1056+7243295636*p^71*q^1058+508209253*p^69*q^1060+29445726*p^67*q^1062+2176222* p^65*q^1064+42416*p^63*q^1066+26*p^59*q^1070+1012*p^100*q^1028+141938*p^98*q^ 1030+2108356*p^96*q^1032+61987358*p^94*q^1034+924432585*p^92*q^1036+12663260322 *p^90*q^1038+152103626449*p^88*q^1040+1601643982744*p^86*q^1042+12783222705815* p^84*q^1044+52488592641458*p^82*q^1046+65130891536845*p^80*q^1048+ 22086866333986*p^78*q^1050+3146361732823*p^76*q^1052+311327698134*p^74*q^1054+ 26840378141*p^72*q^1056+2055853662*p^70*q^1058+148337247*p^68*q^1060+5313774*p^ 66*q^1062+511952*p^64*q^1064+3018*p^62*q^1066+20*p^60*q^1068+8*p^58*q^1070+6940 *p^99*q^1028+800578*p^97*q^1030+9575508*p^95*q^1032+232204444*p^93*q^1034+ 3317274900*p^91*q^1036+41846037994*p^89*q^1038+475257302394*p^87*q^1040+ 4529275429436*p^85*q^1042+28084692766310*p^83*q^1044+69019702591200*p^81*q^1046 +44874311297328*p^79*q^1048+9400580004980*p^77*q^1050+1073493604083*p^75*q^1052 +98333676950*p^73*q^1054+8179254858*p^71*q^1056+568997084*p^69*q^1058+35152738* p^67*q^1060+2036548*p^65*q^1062+68760*p^63*q^1064+36*p^61*q^1066+164*p^100*q^ 1026+102612*p^98*q^1028+2064114*p^96*q^1030+53066556*p^94*q^1032+811610534*p^92 *q^1034+11243535862*p^90*q^1036+135362206176*p^88*q^1038+1430201944538*p^86*q^ 1040+11682659693358*p^84*q^1042+49897578869460*p^82*q^1044+66573747141400*p^80* q^1046+23781703223434*p^78*q^1048+3507726238358*p^76*q^1050+349703267097*p^74*q ^1052+30422726362*p^72*q^1054+2383306286*p^70*q^1056+167996646*p^68*q^1058+ 6813753*p^66*q^1060+673212*p^64*q^1062+6552*p^62*q^1064+2*p^58*q^1068+2*p^103*q ^1022+8648*p^99*q^1026+684554*p^97*q^1028+8582450*p^95*q^1030+206741852*p^93*q^ 1032+2920520022*p^91*q^1034+37017679603*p^89*q^1036+423471619546*p^87*q^1038+ 4065875039018*p^85*q^1040+26113484969972*p^83*q^1042+67625123042094*p^81*q^1044 +47295043400122*p^79*q^1046+10310694998885*p^77*q^1048+1205235817888*p^75*q^ 1050+110908042818*p^73*q^1052+9298129970*p^71*q^1054+644761922*p^69*q^1056+ 44274566*p^67*q^1058+1755390*p^65*q^1060+104846*p^63*q^1062+120*p^61*q^1064+68* p^100*q^1024+60250*p^98*q^1026+2222762*p^96*q^1028+41731036*p^94*q^1030+ 711334101*p^92*q^1032+9925891082*p^90*q^1034+119641796370*p^88*q^1036+ 1278889018780*p^86*q^1038+10596030735458*p^84*q^1040+47583226738726*p^82*q^1042 +67439379339374*p^80*q^1044+25695712234238*p^78*q^1046+3890100286005*p^76*q^ 1048+393633062394*p^74*q^1050+34316177668*p^72*q^1052+2725242964*p^70*q^1054+ 187157592*p^68*q^1056+8015660*p^66*q^1058+774464*p^64*q^1060+8172*p^62*q^1062+8 *p^103*q^1020+8*p^101*q^1022+4164*p^99*q^1024+520100*p^97*q^1026+6916268*p^95*q ^1028+181343612*p^93*q^1030+2542696611*p^91*q^1032+32740814966*p^89*q^1034+ 376002796638*p^87*q^1036+3662062707682*p^85*q^1038+24111518920310*p^83*q^1040+ 66502964122854*p^81*q^1042+49393387236335*p^79*q^1044+11332115689756*p^77*q^ 1046+1344904200851*p^75*q^1048+125059681284*p^73*q^1050+10452721130*p^71*q^1052 +739339676*p^69*q^1054+51560637*p^67*q^1056+1627310*p^65*q^1058+145384*p^63*q^ 1060+652*p^61*q^1062+26*p^102*q^1020+48060*p^98*q^1024+2312276*p^96*q^1026+ 35297458*p^94*q^1028+634276300*p^92*q^1030+8783371933*p^90*q^1032+106438672210* p^88*q^1034+1140577672294*p^86*q^1036+9652863268992*p^84*q^1038+44981459030745* p^82*q^1040+68480957777170*p^80*q^1042+27530234035019*p^78*q^1044+4328156809204 *p^76*q^1046+442251802748*p^74*q^1048+38871297832*p^72*q^1050+3134042170*p^70*q ^1052+208171082*p^68*q^1054+11020786*p^66*q^1056+749520*p^64*q^1058+15142*p^62* q^1060+1568*p^99*q^1022+402472*p^97*q^1024+6334286*p^95*q^1026+156203606*p^93*q ^1028+2225712510*p^91*q^1030+29007293940*p^89*q^1032+334930037378*p^87*q^1034+ 3282707161309*p^85*q^1036+22316083272504*p^83*q^1038+64731300753777*p^81*q^1040 +51754764388024*p^79*q^1042+12382787126488*p^77*q^1044+1508893193274*p^75*q^ 1046+140716974098*p^73*q^1048+11868400538*p^71*q^1050+857659430*p^69*q^1052+ 60697582*p^67*q^1054+1635252*p^65*q^1056+219476*p^63*q^1058+1080*p^61*q^1060+ 128*p^102*q^1018+140*p^100*q^1020+42468*p^98*q^1022+2008066*p^96*q^1024+ 29206614*p^94*q^1026+562079859*p^92*q^1028+7743640240*p^90*q^1030+94059353049*p ^88*q^1032+1018740974082*p^86*q^1034+8733608694147*p^84*q^1036+42628324862706*p ^82*q^1038+68910541653628*p^80*q^1040+29607402094928*p^78*q^1042+4790084251897* p^76*q^1044+497219560338*p^74*q^1046+43921896780*p^72*q^1048+3563796178*p^70*q^ 1050+229835339*p^68*q^1052+13715006*p^66*q^1054+651967*p^64*q^1056+20800*p^62*q ^1058+24*p^60*q^1060+134*p^101*q^1018+328*p^99*q^1020+252288*p^97*q^1022+ 6406192*p^95*q^1024+130508072*p^93*q^1026+1942581211*p^91*q^1028+25658058464*p^ 89*q^1030+297040436289*p^87*q^1032+2952315523030*p^85*q^1034+20520450392491*p^ 83*q^1036+63206593481740*p^81*q^1038+53728349649324*p^79*q^1040+13570013145886* p^77*q^1042+1680972806701*p^75*q^1044+158639862464*p^73*q^1046+13344809631*p^71 *q^1048+990248912*p^69*q^1050+68024401*p^67*q^1052+2131062*p^65*q^1054+240076*p ^63*q^1056+1336*p^61*q^1058+8*p^102*q^1016+32*p^100*q^1018+20028*p^98*q^1020+ 1796736*p^96*q^1022+23286960*p^94*q^1024+501654762*p^92*q^1026+6822928417*p^90* q^1028+83540103842*p^88*q^1030+907971155197*p^86*q^1032+7936347267928*p^84*q^ 1034+40084598172706*p^82*q^1036+69468031401126*p^80*q^1038+31572842653689*p^78* q^1040+5316867267916*p^76*q^1042+557900863449*p^74*q^1044+49695809740*p^72*q^ 1046+4052311415*p^70*q^1048+261453720*p^68*q^1050+17190032*p^66*q^1052+425094*p ^64*q^1054+45600*p^62*q^1056+136*p^60*q^1058+884*p^101*q^1016+1152*p^99*q^1018+ 253500*p^97*q^1020+6303134*p^95*q^1022+114486544*p^93*q^1024+1721852292*p^91*q^ 1026+22756741863*p^89*q^1028+264733664442*p^87*q^1030+2642959307454*p^85*q^1032 +18919078055862*p^83*q^1034+61125196986593*p^81*q^1036+55918079239318*p^79*q^ 1038+14778604134188*p^77*q^1040+1883721721040*p^75*q^1042+178651806318*p^73*q^ 1044+15187747776*p^71*q^1046+1158815589*p^69*q^1048+76515358*p^67*q^1050+ 3094348*p^65*q^1052+295326*p^63*q^1054+1808*p^61*q^1056+8*p^102*q^1014+348*p^ 100*q^1016+8348*p^98*q^1018+1286136*p^96*q^1020+20296750*p^94*q^1022+432907360* p^92*q^1024+5969155496*p^90*q^1026+73766717909*p^88*q^1028+809746987454*p^86*q^ 1030+7159110953367*p^84*q^1032+37786293798620*p^82*q^1034+69423083854479*p^80*q ^1036+33779570667014*p^78*q^1038+5871169553706*p^76*q^1040+626936245712*p^74*q^ 1042+55941137730*p^72*q^1044+4569465138*p^70*q^1046+295954250*p^68*q^1048+ 20227820*p^66*q^1050+345372*p^64*q^1052+51272*p^62*q^1054+56*p^60*q^1056+316*p^ 101*q^1014+744*p^99*q^1016+167426*p^97*q^1018+5929466*p^95*q^1020+92589954*p^93 *q^1022+1517349861*p^91*q^1024+20129683590*p^89*q^1026+234710048223*p^87*q^1028 +2373942907940*p^85*q^1030+17331977512248*p^83*q^1032+59303735022850*p^81*q^ 1034+57695617346475*p^79*q^1036+16128244907616*p^77*q^1038+2096699809780*p^75*q ^1040+201148200128*p^73*q^1042+17139512046*p^71*q^1044+1331332980*p^69*q^1046+ 82916246*p^67*q^1048+3990344*p^65*q^1050+198536*p^63*q^1052+6644*p^61*q^1054+8* p^59*q^1056+3354*p^100*q^1014+6776*p^98*q^1016+1126434*p^96*q^1018+18764122*p^ 94*q^1020+386664322*p^92*q^1022+5259582612*p^90*q^1024+65643207586*p^88*q^1026+ 721213024799*p^86*q^1028+6491092522642*p^84*q^1030+35328166016249*p^82*q^1032+ 69522834233904*p^80*q^1034+35828917379479*p^78*q^1036+6503420749536*p^76*q^1038 +702466211920*p^74*q^1040+63324886940*p^72*q^1042+5184103347*p^70*q^1044+ 348155740*p^68*q^1046+24375329*p^66*q^1048+562384*p^64*q^1050+85460*p^62*q^1052 +76*p^60*q^1054+136*p^101*q^1012+576*p^99*q^1014+94700*p^97*q^1016+5183680*p^95 *q^1018+77667562*p^93*q^1020+1336418340*p^91*q^1022+17797428656*p^89*q^1024+ 208677446098*p^87*q^1026+2122245882780*p^85*q^1028+15920500273920*p^83*q^1030+ 56973687743628*p^81*q^1032+59668467921458*p^79*q^1034+17503432474117*p^77*q^ 1036+2344140279798*p^75*q^1038+226495144941*p^73*q^1040+19472630540*p^71*q^1042 +1528953464*p^69*q^1044+91263550*p^67*q^1046+5154950*p^65*q^1048+90656*p^63*q^ 1050+8700*p^61*q^1052+3228*p^100*q^1012+7936*p^98*q^1014+949588*p^96*q^1016+ 17676006*p^94*q^1018+331706154*p^92*q^1020+4632573778*p^90*q^1022+57969931654*p ^88*q^1024+643462084514*p^86*q^1026+5844431365570*p^84*q^1028+33135365565708*p^ 82*q^1030+68964116486242*p^80*q^1032+38139062285270*p^78*q^1034+7160383638926*p ^76*q^1036+789213336500*p^74*q^1038+71190895211*p^72*q^1040+5855490028*p^70*q^ 1042+406999278*p^68*q^1044+27462046*p^66*q^1046+754624*p^64*q^1048+93776*p^62*q ^1050+576*p^60*q^1052+32*p^101*q^1010+7470*p^99*q^1012+49874*p^97*q^1014+ 4297778*p^95*q^1016+64059154*p^93*q^1018+1185222534*p^91*q^1020+15675546010*p^ 89*q^1022+184996795755*p^87*q^1024+1902569855506*p^85*q^1026+14531096187159*p^ 83*q^1028+54929927530404*p^81*q^1030+61148182075379*p^79*q^1032+19034690478078* p^77*q^1034+2606061086827*p^75*q^1036+254934558414*p^73*q^1038+22009662521*p^71 *q^1040+1740266250*p^69*q^1042+101426214*p^67*q^1044+6319950*p^65*q^1046+84176* p^63*q^1048+12956*p^61*q^1050+1348*p^100*q^1010+2854*p^98*q^1012+660862*p^96*q^ 1014+16516994*p^94*q^1016+285509786*p^92*q^1018+4062714200*p^90*q^1020+ 51559580982*p^88*q^1022+572573105002*p^86*q^1024+5287491964064*p^84*q^1026+ 30838762421620*p^82*q^1028+68597025858158*p^80*q^1030+40219048099576*p^78*q^ 1032+7909801023150*p^76*q^1034+882866280487*p^74*q^1036+80450837196*p^72*q^1038 +6613064680*p^70*q^1040+477022142*p^68*q^1042+29928458*p^66*q^1044+1117002*p^64 *q^1046+45966*p^62*q^1048+1328*p^60*q^1050+15222*p^99*q^1010+53992*p^97*q^1012+ 3970538*p^95*q^1014+57474530*p^93*q^1016+1055913994*p^91*q^1018+13897755466*p^ 89*q^1020+164569026606*p^87*q^1022+1699549052994*p^85*q^1024+13301314545492*p^ 83*q^1026+52438668591246*p^81*q^1028+62829827149138*p^79*q^1030+20562988040417* p^77*q^1032+2910375749834*p^75*q^1034+286927357951*p^73*q^1036+24989891338*p^71 *q^1038+1997740190*p^69*q^1040+118317420*p^67*q^1042+8249308*p^65*q^1044+116790 *p^63*q^1046+29068*p^61*q^1048+20*p^59*q^1050+832*p^100*q^1008+10766*p^98*q^ 1010+405786*p^96*q^1012+14460860*p^94*q^1014+236983007*p^92*q^1016+3564907534*p ^90*q^1018+45464186437*p^88*q^1020+509956291636*p^86*q^1022+4751621596208*p^84* q^1024+28771235192892*p^82*q^1026+67598382415242*p^80*q^1028+42579093195854*p^ 78*q^1030+8686995749984*p^76*q^1032+990736494506*p^74*q^1034+90433602513*p^72*q ^1036+7513153258*p^70*q^1038+548627244*p^68*q^1040+31804338*p^66*q^1042+1308193 *p^64*q^1044+21032*p^62*q^1046+860*p^60*q^1048+8*p^101*q^1006+9572*p^99*q^1008+ 30122*p^97*q^1010+3222052*p^95*q^1012+51004150*p^93*q^1014+927079014*p^91*q^ 1016+12246115390*p^89*q^1018+145815425806*p^87*q^1020+1522519051750*p^85*q^1022 +12104731394750*p^83*q^1024+50235885324186*p^81*q^1026+63955624927691*p^79*q^ 1028+22271110361442*p^77*q^1030+3227453973163*p^75*q^1032+322618972482*p^73*q^ 1034+28156591759*p^71*q^1036+2236005520*p^69*q^1038+137528043*p^67*q^1040+ 9454648*p^65*q^1042+193810*p^63*q^1044+19748*p^61*q^1046+148*p^59*q^1048+48*p^ 100*q^1006+38978*p^98*q^1008+304004*p^96*q^1010+13425722*p^94*q^1012+201770878* p^92*q^1014+3170825904*p^90*q^1016+40394539558*p^88*q^1018+453716891139*p^86*q^ 1020+4290014718078*p^84*q^1022+26657280856499*p^82*q^1024+66753271640688*p^80*q ^1026+44654465896282*p^78*q^1028+9570714416948*p^76*q^1030+1107904166635*p^74*q ^1032+102339778932*p^72*q^1034+8531994715*p^70*q^1036+650194638*p^68*q^1038+ 35321716*p^66*q^1040+1916118*p^64*q^1042+15566*p^62*q^1044+5108*p^60*q^1046+ 8116*p^99*q^1006+23528*p^97*q^1008+2460614*p^95*q^1010+45603116*p^93*q^1012+ 812742248*p^91*q^1014+10765749298*p^89*q^1016+129666870232*p^87*q^1018+ 1358193642727*p^85*q^1020+11045878059512*p^83*q^1022+47686036640938*p^81*q^1024 +65251429918700*p^79*q^1026+23953854297413*p^77*q^1028+3596924652384*p^75*q^ 1030+362556829563*p^73*q^1032+31824464096*p^71*q^1034+2539745606*p^69*q^1036+ 159490604*p^67*q^1038+10426064*p^65*q^1040+251118*p^63*q^1042+10384*p^61*q^1044 +20*p^59*q^1046+168*p^100*q^1004+42174*p^98*q^1006+233944*p^96*q^1008+12027768* p^94*q^1010+174481366*p^92*q^1012+2799568826*p^90*q^1014+35733235451*p^88*q^ 1016+404043212610*p^86*q^1018+3848222210074*p^84*q^1020+24760608515570*p^82*q^ 1022+65337315086929*p^80*q^1024+46983048469624*p^78*q^1026+10478956255935*p^76* q^1028+1242253742936*p^74*q^1030+115061306256*p^72*q^1032+9714916818*p^70*q^ 1034+742850840*p^68*q^1036+39922274*p^66*q^1038+2518846*p^64*q^1040+23288*p^62* q^1042+5820*p^60*q^1044+8*p^58*q^1046+2062*p^99*q^1004+62858*p^97*q^1006+ 1673022*p^95*q^1008+40934926*p^93*q^1010+688663922*p^91*q^1012+9473280564*p^89* q^1014+114644944433*p^87*q^1016+1214960000688*p^85*q^1018+10020495602434*p^83*q ^1020+45411032469522*p^81*q^1022+65994190110078*p^79*q^1024+25821704573358*p^77 *q^1026+3982749537814*p^75*q^1028+407557970148*p^73*q^1030+35832812841*p^71*q^ 1032+2857040018*p^69*q^1034+188824030*p^67*q^1036+10935562*p^65*q^1038+315816*p ^63*q^1040+3194*p^61*q^1042+416*p^59*q^1044+24*p^100*q^1002+43768*p^98*q^1004+ 146932*p^96*q^1006+10554044*p^94*q^1008+151028296*p^92*q^1010+2505219182*p^90*q ^1012+31726975010*p^88*q^1014+359509244310*p^86*q^1016+3470105760416*p^84*q^ 1018+22836969544338*p^82*q^1020+64101142509984*p^80*q^1022+48979875472191*p^78* q^1024+11506135597684*p^76*q^1026+1386584999782*p^74*q^1028+129944910362*p^72*q ^1030+11016031640*p^70*q^1032+851293280*p^68*q^1034+44952137*p^66*q^1036+ 3145814*p^64*q^1038+47946*p^62*q^1040+3680*p^60*q^1042+1650*p^99*q^1002+110112* p^97*q^1004+1361156*p^95*q^1006+38109288*p^93*q^1008+602137450*p^91*q^1010+ 8350991204*p^89*q^1012+101964016508*p^87*q^1014+1083027277326*p^85*q^1016+ 9119422220422*p^83*q^1018+42842732873673*p^81*q^1020+66872763665212*p^79*q^1022 +27648617844719*p^77*q^1024+4429466640796*p^75*q^1026+457757578721*p^73*q^1028+ 40618363850*p^71*q^1030+3261304373*p^69*q^1032+227325778*p^67*q^1034+12672314*p ^65*q^1036+511532*p^63*q^1038+1580*p^61*q^1040+1168*p^59*q^1042+24466*p^98*q^ 1002+133642*p^96*q^1004+8131352*p^94*q^1006+129922540*p^92*q^1008+2184939034*p^ 90*q^1010+27949365952*p^88*q^1012+319599748090*p^86*q^1014+3107573431111*p^84*q ^1016+21123441703180*p^82*q^1018+62300898167584*p^80*q^1020+51232735870870*p^78 *q^1022+12557978986641*p^76*q^1024+1552181540406*p^74*q^1026+146066146036*p^72* q^1028+12438576264*p^70*q^1030+958084974*p^68*q^1032+50581842*p^66*q^1034+ 3216152*p^64*q^1036+39798*p^62*q^1038+1476*p^60*q^1040+8*p^58*q^1042+762*p^99*q ^1000+146184*p^97*q^1002+947106*p^95*q^1004+34933962*p^93*q^1006+516170766*p^91 *q^1008+7401714728*p^89*q^1010+90286677633*p^87*q^1012+968670838524*p^85*q^1014 +8252400998313*p^83*q^1016+40582842524940*p^81*q^1018+67136378215408*p^79*q^ 1020+29667040745170*p^77*q^1022+4893968290635*p^75*q^1024+514479251228*p^73*q^ 1026+45651178110*p^71*q^1028+3718269056*p^69*q^1030+266522560*p^67*q^1032+ 13554252*p^65*q^1034+762078*p^63*q^1036+7058*p^61*q^1038+724*p^59*q^1040+12248* p^98*q^1000+199430*p^96*q^1002+6453370*p^94*q^1004+116651918*p^92*q^1006+ 1925020101*p^90*q^1008+24732479230*p^88*q^1010+284114550193*p^86*q^1012+ 2795384681254*p^84*q^1014+19408614682151*p^82*q^1016+60718810036298*p^80*q^1018 +53065885950561*p^78*q^1020+13743935774010*p^76*q^1022+1731044411987*p^74*q^ 1024+164842545650*p^72*q^1026+14111506238*p^70*q^1028+1083966164*p^68*q^1030+ 61257734*p^66*q^1032+3843934*p^64*q^1034+74854*p^62*q^1036+44*p^60*q^1038+144*p ^58*q^1040+84*p^99*q^998+138582*p^97*q^1000+705086*p^95*q^1002+31169304*p^93*q^ 1004+444175694*p^91*q^1006+6558973931*p^89*q^1008+80347400948*p^87*q^1010+ 862678622309*p^85*q^1012+7492870052058*p^83*q^1014+38083753839777*p^81*q^1016+ 67588351925992*p^79*q^1018+31587421777852*p^77*q^1020+5431494919696*p^75*q^1022 +576773573016*p^73*q^1024+51671152922*p^71*q^1026+4222994588*p^69*q^1028+ 312533442*p^67*q^1030+14494174*p^65*q^1032+885512*p^63*q^1034+6136*p^61*q^1036+ 540*p^59*q^1038+8*p^100*q^996+9814*p^98*q^998+322618*p^96*q^1000+5027196*p^94*q ^1002+105427198*p^92*q^1004+1681909186*p^90*q^1006+21789681816*p^88*q^1008+ 252447589482*p^86*q^1010+2501186339821*p^84*q^1012+17871586900400*p^82*q^1014+ 58639032857546*p^80*q^1016+55154805945458*p^78*q^1018+14945506995870*p^76*q^ 1020+1935688591602*p^74*q^1022+185413486473*p^72*q^1024+15961087156*p^70*q^1026 +1232599330*p^68*q^1028+73406624*p^66*q^1030+4406354*p^64*q^1032+128052*p^62*q^ 1034+572*p^60*q^1036+76*p^58*q^1038+104*p^99*q^996+78392*p^97*q^998+522510*p^95 *q^1000+25680378*p^93*q^1002+378936002*p^91*q^1004+5782206864*p^89*q^1006+ 71016470359*p^87*q^1008+770673821088*p^85*q^1010+6763319912099*p^83*q^1012+ 35870941873142*p^81*q^1014+67402523086909*p^79*q^1016+33737709770398*p^77*q^ 1018+5984521207932*p^75*q^1020+647475742790*p^73*q^1022+58070922555*p^71*q^1024 +4793991256*p^69*q^1026+351705962*p^67*q^1028+15745016*p^65*q^1030+934717*p^63* q^1032+6932*p^61*q^1034+8*p^57*q^1038+2296*p^98*q^996+447542*p^96*q^998+3865204 *p^94*q^1000+97486818*p^92*q^1002+1471200293*p^90*q^1004+19318147816*p^88*q^ 1006+224418464179*p^86*q^1008+2248126124108*p^84*q^1010+16365572387248*p^82*q^ 1012+56759556638180*p^80*q^1014+56771110047869*p^78*q^1016+16293721612188*p^76* q^1018+2154416388414*p^74*q^1020+209206772980*p^72*q^1022+18024698440*p^70*q^ 1024+1402228780*p^68*q^1026+91552480*p^66*q^1028+4702462*p^64*q^1030+214444*p^ 62*q^1032+1172*p^60*q^1034+104*p^58*q^1036+136*p^99*q^994+69516*p^97*q^996+ 644380*p^95*q^998+21662542*p^93*q^1000+334976388*p^91*q^1002+5130907853*p^89*q^ 1004+63112691286*p^87*q^1006+686145430361*p^85*q^1008+6124902452454*p^83*q^1010 +33492957920321*p^81*q^1012+67353203628872*p^79*q^1014+35741390851578*p^77*q^ 1016+6628508009840*p^75*q^1018+725768488276*p^73*q^1020+65750795420*p^71*q^1022 +5478508024*p^69*q^1024+408600992*p^67*q^1026+18117128*p^65*q^1028+1288770*p^63 *q^1030+14238*p^61*q^1032+16*p^59*q^1034+4*p^57*q^1036+1974*p^98*q^994+356890*p ^96*q^996+2730286*p^94*q^998+86713178*p^92*q^1000+1262853596*p^90*q^1002+ 16996935097*p^88*q^1004+199367157000*p^86*q^1006+2007482845120*p^84*q^1008+ 15022002094904*p^82*q^1010+54472896466343*p^80*q^1012+58611234886392*p^78*q^ 1014+17650556925727*p^76*q^1016+2404733073150*p^74*q^1018+234683058597*p^72*q^ 1020+20317767116*p^70*q^1022+1585442386*p^68*q^1024+105266924*p^66*q^1026+ 4724716*p^64*q^1028+194622*p^62*q^1030+292*p^60*q^1032+40*p^99*q^992+29980*p^97 *q^994+962252*p^95*q^996+17346914*p^93*q^998+293987240*p^91*q^1000+4524404956*p ^89*q^1002+55810377459*p^87*q^1004+612212451424*p^85*q^1006+5518788077478*p^83* q^1008+31384269607354*p^81*q^1010+66717206113070*p^79*q^1012+37947824007380*p^ 77*q^1014+7287072980053*p^75*q^1016+814281332006*p^73*q^1018+74034033946*p^71*q ^1020+6215656106*p^69*q^1022+459549338*p^67*q^1024+22988606*p^65*q^1026+1454558 *p^63*q^1028+35706*p^61*q^1030+148*p^59*q^1032+8*p^57*q^1034+1176*p^98*q^992+ 326000*p^96*q^994+2162720*p^94*q^996+76828306*p^92*q^998+1099893206*p^90*q^1000 +15113151282*p^88*q^1002+177046988640*p^86*q^1004+1802845593960*p^84*q^1006+ 13702274640154*p^82*q^1008+52415781779200*p^80*q^1010+59938217556887*p^78*q^ 1012+19167326891708*p^76*q^1014+2672438935506*p^74*q^1016+264552336650*p^72*q^ 1018+22939182518*p^70*q^1020+1818146998*p^68*q^1022+126716718*p^66*q^1024+ 4679156*p^64*q^1026+284335*p^62*q^1028+1092*p^60*q^1030+20098*p^97*q^992+ 1069656*p^95*q^994+13857830*p^93*q^996+266480994*p^91*q^998+3986948152*p^89*q^ 1000+49460198128*p^87*q^1002+544881043444*p^85*q^1004+4987427272568*p^83*q^1006 +29160385521975*p^81*q^1008+66217051718136*p^79*q^1010+39981160029237*p^77*q^ 1012+8044330485852*p^75*q^1014+911305048452*p^73*q^1016+83785973002*p^71*q^1018 +7043323602*p^69*q^1020+522537206*p^67*q^1022+27973566*p^65*q^1024+1650084*p^63 *q^1026+42994*p^61*q^1028+4*p^102*q^986+1016*p^98*q^990+219384*p^96*q^992+ 2246138*p^94*q^994+65240119*p^92*q^996+950225730*p^90*q^998+13321477741*p^88*q^ 1000+157431591152*p^86*q^1002+1608394478616*p^84*q^1004+12536472552730*p^82*q^ 1006+49971578344854*p^80*q^1008+61484732743904*p^78*q^1010+20677711640556*p^76* q^1012+2978556147912*p^74*q^1014+296939276304*p^72*q^1016+25875818874*p^70*q^ 1018+2076260510*p^68*q^1020+146734084*p^66*q^1022+5307160*p^64*q^1024+356768*p^ 62*q^1026+3120*p^60*q^1028+8*p^58*q^1030+11068*p^97*q^990+1082810*p^95*q^992+ 10207188*p^93*q^994+239108252*p^91*q^996+3480404894*p^89*q^998+43696238209*p^87 *q^1000+485597083764*p^85*q^1002+4484304913514*p^83*q^1004+27198474079312*p^81* q^1006+65127290362700*p^79*q^1008+42224497701636*p^77*q^1010+8818856020188*p^75 *q^1012+1021375774182*p^73*q^1014+94164010573*p^71*q^1016+7957754342*p^69*q^ 1018+588823760*p^67*q^1020+33605870*p^65*q^1022+1470620*p^63*q^1024+45066*p^61* q^1026+44*p^59*q^1028+144*p^98*q^988+138246*p^96*q^990+2466572*p^94*q^992+ 55875580*p^92*q^994+830588732*p^90*q^996+11854229034*p^88*q^998+139795780959*p^ 86*q^1000+1442697785614*p^84*q^1002+11404287816950*p^82*q^1004+47797379906074*p ^80*q^1006+62434186934191*p^78*q^1008+22360124208542*p^76*q^1010+3303772285721* p^74*q^1012+334335021740*p^72*q^1014+29251988353*p^70*q^1016+2382756118*p^68*q^ 1018+168653234*p^66*q^1020+6618970*p^64*q^1022+506388*p^62*q^1024+8344*p^60*q^ 1026+60*p^101*q^984+9872*p^97*q^988+989162*p^95*q^990+8723964*p^93*q^992+ 213976058*p^91*q^994+3055985260*p^89*q^996+38764425896*p^87*q^998+431820055538* p^85*q^1000+4045685944194*p^83*q^1002+25156056457447*p^81*q^1004+64206510227924 *p^79*q^1006+44210303685477*p^77*q^1008+9709867327236*p^75*q^1010+1141543155545 *p^73*q^1012+106529327768*p^71*q^1014+8993923433*p^69*q^1016+674343514*p^67*q^ 1018+42455888*p^65*q^1020+1427460*p^63*q^1022+65228*p^61*q^1024+100*p^59*q^1026 +52*p^98*q^986+96890*p^96*q^988+2729410*p^94*q^990+44681070*p^92*q^992+ 732874534*p^90*q^994+10442990554*p^88*q^996+124029084140*p^86*q^998+ 1286336148886*p^84*q^1000+10398198716580*p^82*q^1002+45307202719406*p^80*q^1004 +63619982863796*p^78*q^1006+24010459797301*p^76*q^1008+3676217752216*p^74*q^ 1010+374967820657*p^72*q^1012+33054038614*p^70*q^1014+2707712531*p^68*q^1016+ 191483178*p^66*q^1018+7599766*p^64*q^1020+504536*p^62*q^1022+6107*p^60*q^1024+8 *p^101*q^982+24*p^99*q^984+4034*p^97*q^986+697628*p^95*q^988+7210836*p^93*q^990 +187605958*p^91*q^992+2649260306*p^89*q^994+34230598661*p^87*q^996+384910001112 *p^85*q^998+3631410079596*p^83*q^1000+23355291605856*p^81*q^1002+62733175193986 *p^79*q^1004+46422852558606*p^77*q^1006+10608903342770*p^75*q^1008+ 1277384579516*p^73*q^1010+119625673185*p^71*q^1012+10126098328*p^69*q^1014+ 768528954*p^67*q^1016+49595450*p^65*q^1018+1531034*p^63*q^1020+107494*p^61*q^ 1022+940*p^59*q^1024+368*p^100*q^982+63368*p^96*q^986+3016388*p^94*q^988+ 37045972*p^92*q^990+655912403*p^90*q^992+9264043104*p^88*q^994+110142389547*p^ 86*q^996+1152339418722*p^84*q^998+9435570536299*p^82*q^1000+43072281753370*p^80 *q^1002+64168935412821*p^78*q^1004+25849055469056*p^76*q^1006+4068382152680*p^ 74*q^1008+422369599600*p^72*q^1010+37361776210*p^70*q^1012+3093324690*p^68*q^ 1014+217275296*p^66*q^1016+10271996*p^64*q^1018+457928*p^62*q^1020+9048*p^60*q^ 1022+1344*p^97*q^984+583440*p^95*q^986+6897750*p^93*q^988+163719796*p^91*q^990+ 2316630980*p^89*q^992+30405698180*p^87*q^994+342123021566*p^85*q^996+ 3270631420740*p^83*q^998+21514233750386*p^81*q^1000+61407249978000*p^79*q^1002+ 48322392219729*p^77*q^1004+11643112891470*p^75*q^1006+1426362202807*p^73*q^1008 +135034339418*p^71*q^1010+11451892893*p^69*q^1012+891564308*p^67*q^1014+ 59642458*p^65*q^1016+1622222*p^63*q^1018+154712*p^61*q^1020+980*p^59*q^1022+216 *p^100*q^980+380*p^98*q^982+46812*p^96*q^984+2586036*p^94*q^986+30055573*p^92*q ^988+580538098*p^90*q^990+8135101704*p^88*q^992+97655984934*p^86*q^994+ 1026180191378*p^84*q^996+8580482260444*p^82*q^998+40606803406826*p^80*q^1000+ 64923716429036*p^78*q^1002+27622582942327*p^76*q^1004+4518738290338*p^74*q^1006 +472924126376*p^72*q^1008+42247363140*p^70*q^1010+3489487982*p^68*q^1012+ 243396958*p^66*q^1014+12513376*p^64*q^1016+439380*p^62*q^1018+13134*p^60*q^1020 +40*p^58*q^1022+1188*p^99*q^980+344*p^97*q^982+362488*p^95*q^984+7445560*p^93*q ^986+137587660*p^91*q^988+2025117952*p^89*q^990+26886059454*p^87*q^992+ 304714367386*p^85*q^994+2931656355015*p^83*q^996+19891576082378*p^81*q^998+ 59611513088511*p^79*q^1000+50411778129914*p^77*q^1002+12682757578127*p^75*q^ 1004+1593996634218*p^73*q^1006+151700243373*p^71*q^1008+12910254300*p^69*q^1010 +1018833702*p^67*q^1012+68276318*p^65*q^1014+2038194*p^63*q^1016+133244*p^61*q^ 1018+842*p^59*q^1020+12*p^100*q^978+32*p^98*q^980+19450*p^96*q^982+2383942*p^94 *q^984+24162346*p^92*q^986+519323540*p^90*q^988+7174021578*p^88*q^990+ 86585834568*p^86*q^992+918753584690*p^84*q^994+7763737975647*p^82*q^996+ 38393010883986*p^80*q^998+65053716296835*p^78*q^1000+29587629016248*p^76*q^1002 +4988821833509*p^74*q^1004+532102987794*p^72*q^1006+47699092887*p^70*q^1008+ 3956026404*p^68*q^1010+280830464*p^66*q^1012+16163500*p^64*q^1014+382316*p^62*q ^1016+36020*p^60*q^1018+132*p^58*q^1020+1860*p^99*q^978+2592*p^97*q^980+312290* p^95*q^982+7434486*p^93*q^984+119232256*p^91*q^986+1791433492*p^89*q^988+ 23894929506*p^87*q^990+270938717256*p^85*q^992+2637265628958*p^83*q^994+ 18249033145612*p^81*q^996+57977216853086*p^79*q^998+52148806814832*p^77*q^1000+ 13866363751098*p^75*q^1002+1777195388523*p^73*q^1004+171263642078*p^71*q^1006+ 14629332586*p^69*q^1008+1177646058*p^67*q^1010+77996752*p^65*q^1012+2657962*p^ 63*q^1014+145570*p^61*q^1016+764*p^59*q^1018+8*p^100*q^976+2164*p^98*q^978+9306 *p^96*q^980+1783240*p^94*q^982+21475455*p^92*q^984+452437592*p^90*q^986+ 6257768357*p^88*q^988+76724132974*p^86*q^990+817336328360*p^84*q^992+ 7042568207452*p^82*q^994+35988155969576*p^80*q^996+65365593155468*p^78*q^998+ 31468227220140*p^76*q^1000+5527111387802*p^74*q^1002+595455535002*p^72*q^1004+ 53837690208*p^70*q^1006+4445199276*p^68*q^1008+321903460*p^66*q^1010+19351014*p ^64*q^1012+376830*p^62*q^1014+32358*p^60*q^1016+36*p^58*q^1018+436*p^99*q^976+ 1264*p^97*q^978+184476*p^95*q^980+7224628*p^93*q^982+96769997*p^91*q^984+ 1579524848*p^89*q^986+21107213128*p^87*q^988+241170225818*p^85*q^990+ 2360853288384*p^83*q^992+16814127893534*p^81*q^994+55894737917228*p^79*q^996+ 54079283395856*p^77*q^998+15048315779807*p^75*q^1000+1984105316328*p^73*q^1002+ 192163873315*p^71*q^1004+16531302820*p^69*q^1006+1338285414*p^67*q^1008+ 86708334*p^65*q^1010+3561760*p^63*q^1012+111762*p^61*q^1014+5340*p^59*q^1016+8* p^57*q^1018+7572*p^98*q^976+11174*p^96*q^978+1465316*p^94*q^980+20344160*p^92*q ^982+402003236*p^90*q^984+5520543950*p^88*q^986+68135044342*p^86*q^988+ 731010358384*p^84*q^990+6359355012239*p^82*q^992+33851294009714*p^80*q^994+ 65024728040617*p^78*q^996+33530448916978*p^76*q^998+6089969563578*p^74*q^1000+ 668739679978*p^72*q^1002+60730569873*p^70*q^1004+5042241892*p^68*q^1006+ 374840735*p^66*q^1008+23474822*p^64*q^1010+477466*p^62*q^1012+38272*p^60*q^1014 +24*p^58*q^1016+216*p^99*q^974+2284*p^97*q^976+107258*p^95*q^978+6601390*p^93*q ^980+80456510*p^91*q^982+1394432044*p^89*q^984+18701082566*p^87*q^986+ 214027869776*p^85*q^988+2120600389564*p^83*q^990+15372088752180*p^81*q^992+ 54029738503120*p^79*q^994+55553302036274*p^77*q^996+16397221108254*p^75*q^998+ 2207471010623*p^73*q^1000+216942282558*p^71*q^1002+18740404847*p^69*q^1004+ 1522407600*p^67*q^1006+99874170*p^65*q^1008+4689558*p^63*q^1010+88268*p^61*q^ 1012+6896*p^59*q^1014+4728*p^98*q^974+13940*p^96*q^976+1147004*p^94*q^978+ 19630402*p^92*q^980+347728458*p^90*q^982+4849925624*p^88*q^984+60416907698*p^86 *q^986+650517962290*p^84*q^988+5755170419978*p^82*q^990+31574479470386*p^80*q^ 992+64893855805626*p^78*q^994+35458175194911*p^76*q^996+6729898931364*p^74*q^ 998+748170654298*p^72*q^1000+68484352450*p^70*q^1002+5664374328*p^68*q^1004+ 436344510*p^66*q^1006+26717364*p^64*q^1008+620188*p^62*q^1010+35566*p^60*q^1012 +372*p^58*q^1014+24*p^99*q^972+16508*p^97*q^974+60924*p^95*q^976+5461080*p^93*q ^978+67027416*p^91*q^980+1232709122*p^89*q^982+16433714784*p^87*q^984+ 190366829452*p^85*q^986+1895461846283*p^83*q^988+14105680207402*p^81*q^990+ 51775318772182*p^79*q^992+57253726490748*p^77*q^994+17720229654700*p^75*q^996+ 2461427594738*p^73*q^998+243218746859*p^71*q^1000+21205741864*p^69*q^1002+ 1720668488*p^67*q^1004+112650250*p^65*q^1006+5847744*p^63*q^1008+76424*p^61*q^ 1010+6714*p^59*q^1012+2424*p^98*q^972+3948*p^96*q^974+764516*p^94*q^976+ 19198448*p^92*q^978+297561941*p^90*q^980+4265940638*p^88*q^982+53665561565*p^86 *q^984+581549185590*p^84*q^986+5187648934770*p^82*q^988+29551849569872*p^80*q^ 990+64123518944603*p^78*q^992+37582524614888*p^76*q^994+7390654583142*p^74*q^ 996+839204862732*p^72*q^998+77147228265*p^70*q^1000+6406721590*p^68*q^1002+ 501117916*p^66*q^1004+30462582*p^64*q^1006+961610*p^62*q^1008+25900*p^60*q^1010 +1256*p^58*q^1012+22736*p^97*q^972+82198*p^95*q^974+4954688*p^93*q^976+60299134 *p^91*q^978+1102770444*p^89*q^980+14588482688*p^87*q^982+169065974073*p^85*q^ 984+1700662345786*p^83*q^986+12856784295957*p^81*q^988+49701754348690*p^79*q^ 990+58439182507690*p^77*q^992+19231210671680*p^75*q^994+2734605886659*p^73*q^ 996+274481680240*p^71*q^998+24033626584*p^69*q^1000+1965738136*p^67*q^1002+ 134702802*p^65*q^1004+7588254*p^63*q^1006+86328*p^61*q^1008+9126*p^59*q^1010+4* p^57*q^1012+888*p^98*q^970+21596*p^96*q^972+476664*p^94*q^974+17036766*p^92*q^ 976+247244642*p^90*q^978+3726452750*p^88*q^980+47450088342*p^86*q^982+ 516562532624*p^84*q^984+4685554748890*p^82*q^986+27433381470098*p^80*q^988+ 63547858569600*p^78*q^990+39527911081352*p^76*q^992+8148491374892*p^74*q^994+ 937185913891*p^72*q^996+86936839946*p^70*q^998+7238952078*p^68*q^1000+569361494 *p^66*q^1002+33323468*p^64*q^1004+1149364*p^62*q^1006+15200*p^60*q^1008+676*p^ 58*q^1010+8*p^99*q^968+15992*p^97*q^970+40318*p^95*q^972+3826912*p^93*q^974+ 55100600*p^91*q^976+969446516*p^89*q^978+12847858841*p^87*q^980+150400328716*p^ 85*q^982+1519436585113*p^83*q^984+11762646554782*p^81*q^986+47352643394480*p^79 *q^988+59789333892020*p^77*q^990+20698420968729*p^75*q^992+3042415741958*p^73*q ^994+307410099637*p^71*q^996+27146043000*p^69*q^998+2188478868*p^67*q^1000+ 156705770*p^65*q^1002+8780802*p^63*q^1004+159490*p^61*q^1006+6796*p^59*q^1008+ 152*p^57*q^1010+56*p^98*q^968+56056*p^96*q^970+387824*p^94*q^972+16242546*p^92* q^974+209956762*p^90*q^976+3322041696*p^88*q^978+42083176068*p^86*q^980+ 461530101098*p^84*q^982+4214540932577*p^82*q^984+25557097601080*p^80*q^986+ 62368969888491*p^78*q^988+41653325813882*p^76*q^990+8925656101214*p^74*q^992+ 1051138233546*p^72*q^994+98062171584*p^70*q^996+8238036702*p^68*q^998+664077611 *p^66*q^1000+39255628*p^64*q^1002+1726794*p^62*q^1004+9672*p^60*q^1006+1658*p^ 58*q^1008+10244*p^97*q^968+36488*p^95*q^970+2910810*p^93*q^972+49813122*p^91*q^ 974+848951628*p^89*q^976+11300250386*p^87*q^978+133488530787*p^85*q^980+ 1361567032830*p^83*q^982+10686895913351*p^81*q^984+45201415623642*p^79*q^986+ 60629814185388*p^77*q^988+22353657415642*p^75*q^990+3372821222800*p^73*q^992+ 346114817670*p^71*q^994+30600553050*p^69*q^996+2473916534*p^67*q^998+179656200* p^65*q^1000+9798182*p^63*q^1002+196070*p^61*q^1004+4470*p^59*q^1006+26*p^57*q^ 1008+224*p^98*q^966+63116*p^96*q^968+311032*p^94*q^970+14307404*p^92*q^972+ 182849118*p^90*q^974+2927493185*p^88*q^976+37359590236*p^86*q^978+410077695928* p^84*q^980+3800628889342*p^82*q^982+23617800929438*p^80*q^984+61387465024972*p^ 78*q^986+43550150062238*p^76*q^988+9809124976194*p^74*q^990+1172875382457*p^72* q^992+110596827650*p^70*q^994+9354552798*p^68*q^996+753399616*p^66*q^998+ 46644718*p^64*q^1000+2232858*p^62*q^1002+18874*p^60*q^1004+1268*p^58*q^1006+8*p ^56*q^1008+2280*p^97*q^966+82402*p^95*q^968+1977004*p^93*q^970+46138836*p^91*q^ 972+721311550*p^89*q^974+9930334513*p^87*q^976+118466864434*p^85*q^978+ 1214497181666*p^83*q^980+9748766937062*p^81*q^982+42792880245216*p^79*q^984+ 61640295013366*p^77*q^986+23955875594265*p^75*q^988+3746196926744*p^73*q^990+ 387668172581*p^71*q^992+34530392568*p^69*q^994+2771303567*p^67*q^996+208760092* p^65*q^998+10828260*p^63*q^1000+281098*p^61*q^1002+772*p^59*q^1004+200*p^57*q^ 1006+36*p^98*q^964+58936*p^96*q^966+190754*p^94*q^968+12384904*p^92*q^970+ 158823928*p^90*q^972+2621635308*p^88*q^974+33087124608*p^86*q^976+366341436996* p^84*q^978+3414521002320*p^82*q^980+21911609346252*p^80*q^982+59842671737997*p^ 78*q^984+45620743758108*p^76*q^986+10708551935067*p^74*q^988+1312768127250*p^72 *q^990+124363714893*p^70*q^992+10631660740*p^68*q^994+850761012*p^66*q^996+ 53956944*p^64*q^998+2698106*p^62*q^1000+32712*p^60*q^1002+1150*p^58*q^1004+2512 *p^97*q^964+145460*p^95*q^966+1694050*p^93*q^968+43625546*p^91*q^970+627985878* p^89*q^972+8770619308*p^87*q^974+105229525340*p^85*q^976+1087663025538*p^83*q^ 978+8834266906595*p^81*q^980+40617904070568*p^79*q^982+62043279406362*p^77*q^ 984+25758797347748*p^75*q^986+4144850005206*p^73*q^988+436405397454*p^71*q^990+ 39066541854*p^69*q^992+3154940164*p^67*q^994+247588432*p^65*q^996+13315244*p^63 *q^998+456858*p^61*q^1000+1364*p^59*q^1002+144*p^57*q^1004+27852*p^96*q^964+ 170610*p^94*q^966+9494010*p^92*q^968+138417418*p^90*q^970+2292389174*p^88*q^972 +29225247216*p^86*q^974+325014135150*p^84*q^976+3072660955238*p^82*q^978+ 20164339288932*p^80*q^980+58515457036558*p^78*q^982+47403586670910*p^76*q^984+ 11732934852386*p^74*q^986+1462461379675*p^72*q^988+140183098058*p^70*q^990+ 11973507025*p^68*q^992+952201936*p^66*q^994+61877102*p^64*q^996+2820480*p^62*q^ 998+32698*p^60*q^1000+32*p^58*q^1002+12*p^56*q^1004+1044*p^97*q^962+195968*p^95 *q^964+1155440*p^93*q^966+40000308*p^91*q^968+539483526*p^89*q^970+7738089662*p ^87*q^972+93497093384*p^85*q^974+970113901540*p^83*q^976+8037026633808*p^81*q^ 978+38253535822717*p^79*q^980+62655467711602*p^77*q^982+27459816336257*p^75*q^ 984+4593797927990*p^73*q^986+488358529205*p^71*q^988+44010689838*p^69*q^990+ 3582796624*p^67*q^992+284017120*p^65*q^994+15234678*p^63*q^996+624780*p^61*q^ 998+4616*p^59*q^1000+178*p^57*q^1002+18172*p^96*q^962+224444*p^94*q^964+7639950 *p^92*q^966+126627443*p^90*q^968+2016699858*p^88*q^970+25849188753*p^86*q^972+ 290130235206*p^84*q^974+2756024766804*p^82*q^976+18629121372074*p^80*q^978+ 56665926071641*p^78*q^980+49359688987308*p^76*q^982+12761968949347*p^74*q^984+ 1635615436952*p^72*q^986+157574296156*p^70*q^988+13630133430*p^68*q^990+ 1065995150*p^66*q^992+74151656*p^64*q^994+3506662*p^62*q^996+67398*p^60*q^998+ 44*p^58*q^1000+8*p^56*q^1002+116*p^97*q^960+159696*p^95*q^962+906274*p^93*q^964 +35692532*p^91*q^966+464707714*p^89*q^968+6885915354*p^87*q^970+83017684724*p^ 85*q^972+867748993996*p^83*q^974+7268599233907*p^81*q^976+36098876115228*p^79*q ^978+62653347662810*p^77*q^980+29381524586260*p^75*q^982+5070265273344*p^73*q^ 984+548875938612*p^71*q^986+49695311106*p^69*q^988+4074831020*p^67*q^990+ 327720874*p^65*q^992+17943380*p^63*q^994+713820*p^61*q^996+3676*p^59*q^998+20*p ^98*q^958+12824*p^96*q^960+411324*p^94*q^962+5926378*p^92*q^964+115525956*p^90* q^966+1759497919*p^88*q^968+22779533078*p^86*q^970+257306508475*p^84*q^972+ 2477356159708*p^82*q^974+17079175550194*p^80*q^976+55031306411650*p^78*q^978+ 50961384344011*p^76*q^980+13935757776926*p^74*q^982+1819351948231*p^72*q^984+ 177612800286*p^70*q^986+15360803812*p^68*q^988+1203253104*p^66*q^990+87067612*p ^64*q^992+4058674*p^62*q^994+107016*p^60*q^996+412*p^58*q^998+12*p^56*q^1000+24 *p^97*q^958+102736*p^95*q^960+576346*p^93*q^962+29522566*p^91*q^964+399938906*p ^89*q^966+6061443146*p^87*q^968+73696590492*p^85*q^970+773252714217*p^83*q^972+ 6595513055482*p^81*q^974+33827380938802*p^79*q^976+62817000650666*p^77*q^978+ 31172173348292*p^75*q^980+5607011435962*p^73*q^982+613507671362*p^71*q^984+ 55976207494*p^69*q^986+4621970031*p^67*q^988+364345826*p^65*q^990+20594062*p^63 *q^992+788932*p^61*q^994+6376*p^59*q^996+3420*p^96*q^958+510716*p^94*q^960+ 4708476*p^92*q^962+108185086*p^90*q^964+1539159030*p^88*q^966+20180597423*p^86* q^968+229611156178*p^84*q^970+2219471605190*p^82*q^972+15723171722248*p^80*q^ 974+52964309898264*p^78*q^976+52710563525282*p^76*q^978+15100338797141*p^74*q^ 980+2031165273286*p^72*q^982+199626031502*p^70*q^984+17413007592*p^68*q^986+ 1356278343*p^66*q^988+106048348*p^64*q^990+4927152*p^62*q^992+166138*p^60*q^994 +552*p^58*q^996+376*p^97*q^956+88220*p^95*q^958+761330*p^93*q^960+24939956*p^91 *q^962+353868102*p^89*q^964+5384129602*p^87*q^966+65326248422*p^85*q^968+ 691523354550*p^83*q^970+5949279005893*p^81*q^972+31760225540068*p^79*q^974+ 62390225999549*p^77*q^976+33170249685750*p^75*q^978+6173778216365*p^73*q^980+ 689408452112*p^71*q^982+63157413393*p^69*q^984+5282989304*p^67*q^986+416146146* p^65*q^988+24183574*p^63*q^990+998006*p^61*q^992+11796*p^59*q^994+16*p^57*q^996 +1280*p^96*q^956+420972*p^94*q^958+3235596*p^92*q^960+96655474*p^90*q^962+ 1323404760*p^88*q^964+17796541484*p^86*q^966+203708818562*p^84*q^968+ 1991877239092*p^82*q^970+14365271530303*p^80*q^972+51113795565240*p^78*q^974+ 54084270318004*p^76*q^976+16419479797886*p^74*q^978+2255680406364*p^72*q^980+ 224485453196*p^70*q^982+19594924509*p^68*q^984+1531799768*p^66*q^986+119988652* p^64*q^988+5643908*p^62*q^990+160710*p^60*q^992+292*p^58*q^994+2*p^101*q^950+40 *p^97*q^954+40730*p^95*q^956+1084916*p^93*q^958+20108562*p^91*q^960+315598820*p ^89*q^962+4734394810*p^87*q^964+57972206060*p^85*q^966+615445589138*p^83*q^968+ 5389666685684*p^81*q^970+29597493635231*p^79*q^972+62134448175340*p^77*q^974+ 35003230316359*p^75*q^976+6810618719678*p^73*q^978+769814722679*p^71*q^980+ 71282060822*p^69*q^982+5986591101*p^67*q^984+460452596*p^65*q^986+30166618*p^63 *q^988+1191900*p^61*q^990+28744*p^59*q^992+68*p^57*q^994+2944*p^96*q^954+394864 *p^94*q^956+2487020*p^92*q^958+86111284*p^90*q^960+1151790462*p^88*q^962+ 15791502128*p^86*q^964+181514263308*p^84*q^966+1783294224316*p^82*q^968+ 13178872442328*p^80*q^970+48882046236331*p^78*q^972+55586161183840*p^76*q^974+ 17726058360707*p^74*q^976+2513391804336*p^72*q^978+252053213891*p^70*q^980+ 22177184862*p^68*q^982+1749152519*p^66*q^984+140654676*p^64*q^986+6312998*p^62* q^988+200288*p^60*q^990+728*p^58*q^992+20344*p^95*q^954+1177598*p^93*q^956+ 16328248*p^91*q^958+287482606*p^89*q^960+4183225918*p^87*q^962+51282240543*p^85 *q^964+550295569770*p^83*q^966+4852439873656*p^81*q^968+27666755019000*p^79*q^ 970+61259023249059*p^77*q^972+37044172503576*p^75*q^974+7476557795166*p^73*q^ 976+863756692674*p^71*q^978+80351302596*p^69*q^980+6805898932*p^67*q^982+ 514569270*p^65*q^984+36691226*p^63*q^986+1525312*p^61*q^988+34872*p^59*q^990+34 *p^100*q^948+1420*p^96*q^952+272572*p^94*q^954+2590544*p^92*q^956+73225914*p^90 *q^958+999050790*p^88*q^960+13953674130*p^86*q^962+161121012860*p^84*q^964+ 1598215856506*p^82*q^966+12002873600866*p^80*q^968+46884171082858*p^78*q^970+ 56634225880726*p^76*q^972+19201114202538*p^74*q^974+2787492957352*p^72*q^976+ 283580799996*p^70*q^978+24973729760*p^68*q^980+1998787692*p^66*q^982+160827156* p^64*q^984+7495240*p^62*q^986+248122*p^60*q^988+2880*p^58*q^990+4*p^56*q^992+ 16816*p^95*q^952+1235014*p^93*q^954+11705162*p^91*q^956+259980872*p^89*q^958+ 3640769539*p^87*q^960+45436879608*p^85*q^962+489261469760*p^83*q^964+ 4385186338772*p^81*q^966+25669239176216*p^79*q^968+60615569098804*p^77*q^970+ 38858863755972*p^75*q^972+8224865347052*p^73*q^974+963370964750*p^71*q^976+ 90474866552*p^69*q^978+7664618509*p^67*q^980+573727768*p^65*q^982+42464502*p^63 *q^984+1592552*p^61*q^986+29624*p^59*q^988+20*p^57*q^990+112*p^96*q^950+165008* p^94*q^952+2648528*p^92*q^954+63894292*p^90*q^956+878363998*p^88*q^958+ 12396203073*p^86*q^960+143633540504*p^84*q^962+1429776845555*p^82*q^964+ 10978265928854*p^80*q^966+44577402825911*p^78*q^968+57827970385664*p^76*q^970+ 20627203661268*p^74*q^972+3101025383426*p^72*q^974+318029142980*p^70*q^976+ 28295804736*p^68*q^978+2295897930*p^66*q^980+178629014*p^64*q^982+9965760*p^62* q^984+363638*p^60*q^986+6740*p^58*q^988+242*p^99*q^946+15672*p^95*q^950+1146954 *p^93*q^952+10180514*p^91*q^954+233487614*p^89*q^956+3201662166*p^87*q^958+ 40246472702*p^85*q^960+436947189798*p^83*q^962+3942539126066*p^81*q^964+ 23871887311890*p^79*q^966+59368350318700*p^77*q^968+40895500864584*p^75*q^970+ 9001360964231*p^73*q^972+1079727041934*p^71*q^974+101981833586*p^69*q^976+ 8707774508*p^67*q^978+648287344*p^65*q^980+53404052*p^63*q^982+1810796*p^61*q^ 984+42124*p^59*q^986+112*p^57*q^988+44*p^96*q^948+107848*p^94*q^950+2993090*p^ 92*q^952+50553992*p^90*q^954+777210586*p^88*q^956+10931412034*p^86*q^958+ 127191550146*p^84*q^960+1280539659436*p^82*q^962+9969258289812*p^80*q^964+ 42492782422714*p^78*q^966+58534244127951*p^76*q^968+22249309897064*p^74*q^970+ 3431062360957*p^72*q^972+357436120064*p^70*q^974+31861454225*p^68*q^976+ 2605221838*p^66*q^978+198111443*p^64*q^980+11232298*p^62*q^982+385534*p^60*q^ 984+3912*p^58*q^986+60*p^99*q^944+12*p^97*q^946+4370*p^95*q^948+841222*p^93*q^ 950+7989806*p^91*q^952+207749466*p^89*q^954+2777485456*p^87*q^956+35647519594*p ^85*q^958+388702639909*p^83*q^960+3556967069120*p^81*q^962+22059142610977*p^79* q^964+58322370394156*p^77*q^966+42653574423777*p^75*q^968+9873290988940*p^73*q^ 970+1202194792726*p^71*q^972+114848462286*p^69*q^974+9789779151*p^67*q^976+ 740914660*p^65*q^978+60195978*p^63*q^980+2306838*p^61*q^982+69716*p^59*q^984+ 824*p^57*q^986+936*p^98*q^944+95348*p^94*q^948+3311788*p^92*q^950+42342905*p^90 *q^952+699215224*p^88*q^954+9679246902*p^86*q^956+113369877842*p^84*q^958+ 1144155422563*p^82*q^960+9093450960372*p^80*q^962+40175935621648*p^78*q^964+ 59341462188444*p^76*q^966+23798354808996*p^74*q^968+3809670647512*p^72*q^970+ 400869941692*p^70*q^972+36058575128*p^68*q^974+2976361867*p^66*q^976+217729824* p^64*q^978+15169130*p^62*q^980+439720*p^60*q^982+4800*p^58*q^984+1738*p^95*q^ 946+630264*p^93*q^948+7651060*p^91*q^950+181318354*p^89*q^952+2432437276*p^87*q ^954+31597785456*p^85*q^956+346818945330*p^83*q^958+3192282382628*p^81*q^960+ 20432725949650*p^79*q^962+56752167237502*p^77*q^964+44605290164906*p^75*q^966+ 10769913599841*p^73*q^968+1345877647266*p^71*q^970+129099768480*p^69*q^972+ 11116721462*p^67*q^974+853682532*p^65*q^976+69956374*p^63*q^978+2672028*p^61*q^ 980+85682*p^59*q^982+604*p^57*q^984+826*p^98*q^942+240*p^96*q^944+57022*p^94*q^ 946+2982460*p^92*q^948+33846066*p^90*q^950+623580816*p^88*q^952+8519698798*p^86 *q^954+100348617881*p^84*q^956+1023866794408*p^82*q^958+8236593484292*p^80*q^ 960+38086126850586*p^78*q^962+59663945045068*p^76*q^964+25535304157436*p^74*q^ 966+4207838090681*p^72*q^968+449930952622*p^70*q^970+40659491497*p^68*q^972+ 3364962388*p^66*q^974+239836292*p^64*q^976+18492316*p^62*q^978+507188*p^60*q^ 980+10192*p^58*q^982+44*p^56*q^984+2136*p^97*q^942+292*p^95*q^944+457972*p^93*q ^946+8053744*p^91*q^948+153488948*p^89*q^950+2128058588*p^87*q^952+28013779638* p^85*q^954+308359301484*p^83*q^956+2875981667824*p^81*q^958+18797485334298*p^79 *q^960+55394159184018*p^77*q^962+46242180969063*p^75*q^964+11774512575552*p^73* q^966+1496694086437*p^71*q^968+145402049450*p^69*q^970+12497943917*p^67*q^972+ 978841612*p^65*q^974+77004264*p^63*q^976+3440972*p^61*q^978+90016*p^59*q^980+ 260*p^57*q^982+52*p^98*q^940+28*p^96*q^942+26266*p^94*q^944+2622166*p^92*q^946+ 27080332*p^90*q^948+561881856*p^88*q^950+7492374597*p^86*q^952+89269447588*p^84 *q^954+913938162828*p^82*q^956+7493843753034*p^80*q^958+35809291534698*p^78*q^ 960+60094745627926*p^76*q^962+27183391967977*p^74*q^964+4659418442722*p^72*q^ 966+503921409559*p^70*q^968+45960248416*p^68*q^970+3820689818*p^66*q^972+ 270757542*p^64*q^974+22441232*p^62*q^976+564986*p^60*q^978+16268*p^58*q^980+72* p^56*q^982+4638*p^97*q^940+1928*p^95*q^942+383162*p^93*q^944+8235886*p^91*q^946 +132943938*p^89*q^948+1890349452*p^87*q^950+24854374062*p^85*q^952+275333386906 *p^83*q^954+2579052579792*p^81*q^956+17346991740438*p^79*q^958+53534105517945*p ^77*q^960+48059261215756*p^75*q^962+12796511070888*p^73*q^964+1673151721504*p^ 71*q^966+163494617974*p^69*q^968+14196240492*p^67*q^970+1126092897*p^65*q^972+ 85137536*p^63*q^974+4964142*p^61*q^976+125240*p^59*q^978+1012*p^57*q^980+52*p^ 98*q^938+2922*p^96*q^940+9636*p^94*q^942+2003258*p^92*q^944+23951974*p^90*q^946 +492058793*p^88*q^948+6553256258*p^86*q^950+78973695228*p^84*q^952+816779492656 *p^82*q^954+6769242245054*p^80*q^956+33766638603036*p^78*q^958+59981933136998*p ^76*q^960+29034234420304*p^74*q^962+5134741698160*p^72*q^964+565295932468*p^70* q^966+51727767692*p^68*q^968+4313402328*p^66*q^970+309385915*p^64*q^972+ 26111978*p^62*q^974+620662*p^60*q^976+14036*p^58*q^978+4*p^56*q^980+1300*p^97*q ^938+1008*p^95*q^940+236176*p^93*q^942+7974460*p^91*q^944+106839688*p^89*q^946+ 1672072792*p^87*q^948+21994560534*p^85*q^950+244589557802*p^83*q^952+ 2319890671944*p^81*q^954+15906655702936*p^79*q^956+51923150749008*p^77*q^958+ 49503449412496*p^75*q^960+13938622460702*p^73*q^962+1857993728047*p^71*q^964+ 183861040364*p^69*q^966+15973365502*p^67*q^968+1281059336*p^65*q^970+90363626*p ^63*q^972+6077132*p^61*q^974+108492*p^59*q^976+2352*p^57*q^978+4*p^55*q^980+ 13724*p^96*q^938+9704*p^94*q^940+1703206*p^92*q^942+22395698*p^90*q^944+ 441020998*p^88*q^946+5770825562*p^86*q^948+70385622006*p^84*q^950+728944145219* p^82*q^952+6145470921136*p^80*q^954+31582741690984*p^78*q^956+60012002151732*p^ 76*q^958+30728666024197*p^74*q^960+5675449082400*p^72*q^962+632099443033*p^70*q ^964+58480547356*p^68*q^966+4895268030*p^66*q^968+358741088*p^64*q^970+30422464 *p^62*q^972+1078302*p^60*q^974+27116*p^58*q^976+48*p^56*q^978+796*p^97*q^936+ 2388*p^95*q^938+125028*p^93*q^940+7175420*p^91*q^942+89995096*p^89*q^944+ 1483786978*p^87*q^946+19459674022*p^85*q^948+217873132056*p^83*q^950+ 2077723447420*p^81*q^952+14621045252326*p^79*q^954+49875861405453*p^77*q^956+ 51122904638758*p^75*q^958+15092497397785*p^73*q^960+2072929788678*p^71*q^962+ 206682159899*p^69*q^964+18149273884*p^67*q^966+1461112184*p^65*q^968+99832144*p ^63*q^970+7823060*p^61*q^972+93584*p^59*q^974+1948*p^57*q^976+10200*p^96*q^936+ 12140*p^94*q^938+1378680*p^92*q^940+21732658*p^90*q^942+377985918*p^88*q^944+ 5082972170*p^86*q^946+62243112740*p^84*q^948+651535422172*p^82*q^950+ 5541504009988*p^80*q^952+29624455972244*p^78*q^954+59490601847614*p^76*q^956+ 32652236451562*p^74*q^958+6234307149875*p^72*q^960+708726384802*p^70*q^962+ 65700498864*p^68*q^964+5511509712*p^66*q^966+412370570*p^64*q^968+33644178*p^62 *q^970+1378362*p^60*q^972+23748*p^58*q^974+228*p^56*q^976+126*p^97*q^934+23202* p^95*q^936+61344*p^93*q^938+6027102*p^91*q^940+74144196*p^89*q^942+1324069191*p ^87*q^944+17130220006*p^85*q^946+193556251089*p^83*q^948+1865968546512*p^81*q^ 950+13361502798828*p^79*q^952+48058083672870*p^77*q^954+52327103589491*p^75*q^ 956+16378042648580*p^73*q^958+2299171657818*p^71*q^960+232288361132*p^69*q^962+ 20469042720*p^67*q^964+1664264750*p^65*q^966+111222152*p^63*q^968+9223538*p^61* q^970+171582*p^59*q^972+3492*p^57*q^974+6064*p^96*q^934+3670*p^94*q^936+925448* p^92*q^938+20923574*p^90*q^940+326393220*p^88*q^942+4469218275*p^86*q^944+ 55505596900*p^84*q^946+580947045345*p^82*q^948+5020788230868*p^80*q^950+ 27587753201079*p^78*q^952+59095321334232*p^76*q^954+34374543741090*p^74*q^956+ 6871896484464*p^72*q^958+791182235899*p^70*q^960+74173459168*p^68*q^962+ 6220408056*p^66*q^964+474436814*p^64*q^966+35532344*p^62*q^968+2001636*p^60*q^ 970+11982*p^58*q^972+244*p^56*q^974+37774*p^95*q^934+80740*p^93*q^936+5577916*p ^91*q^938+67084154*p^89*q^940+1183470918*p^87*q^942+15175177194*p^85*q^944+ 172419008060*p^83*q^946+1669234546294*p^81*q^948+12243004797782*p^79*q^950+ 45878912425572*p^77*q^952+53670468083476*p^75*q^954+17658955318307*p^73*q^956+ 2561683868386*p^71*q^958+261001372225*p^69*q^960+23229426380*p^67*q^962+ 1903601260*p^65*q^964+128861164*p^63*q^966+11839640*p^61*q^968+259494*p^59*q^ 970+5676*p^57*q^972+12*p^55*q^974+2770*p^96*q^932+24148*p^94*q^934+507484*p^92* q^936+18565960*p^90*q^938+270393158*p^88*q^940+3932522952*p^86*q^942+ 48985336442*p^84*q^944+518578921142*p^82*q^946+4518369076148*p^80*q^948+ 25753775608850*p^78*q^950+58208162108250*p^76*q^952+36308821871202*p^74*q^954+ 7530562296955*p^72*q^956+885804371408*p^70*q^958+83282102840*p^68*q^960+ 7041778266*p^66*q^962+540069938*p^64*q^964+37533836*p^62*q^966+2306362*p^60*q^ 968+18646*p^58*q^970+196*p^56*q^972+54*p^97*q^930+29836*p^95*q^932+39788*p^93*q ^934+4542300*p^91*q^936+60926852*p^89*q^938+1043485922*p^87*q^940+13386980738*p ^85*q^942+153158724921*p^83*q^944+1498542853318*p^81*q^946+11150897016273*p^79* q^948+43947436414632*p^77*q^950+54570236062125*p^75*q^952+19079872272246*p^73*q ^954+2834691940780*p^71*q^956+293092029614*p^69*q^958+26168045443*p^67*q^960+ 2130582516*p^65*q^962+147475228*p^63*q^964+13224562*p^61*q^966+411150*p^59*q^ 968+1192*p^57*q^970+16*p^55*q^972+176*p^96*q^930+76174*p^94*q^932+421024*p^92*q ^934+17537402*p^90*q^936+230694736*p^88*q^938+3506387461*p^86*q^940+43550214852 *p^84*q^942+462211991841*p^82*q^944+4085903165996*p^80*q^946+23866442983922*p^ 78*q^948+57437247749018*p^76*q^950+38021288140105*p^74*q^952+8275277091774*p^72 *q^954+988409745666*p^70*q^956+94107533122*p^68*q^958+7983515412*p^66*q^960+ 634469584*p^64*q^962+41327717*p^62*q^964+3217830*p^60*q^966+37916*p^58*q^968+ 912*p^56*q^970+23072*p^95*q^930+33040*p^93*q^932+3192728*p^91*q^934+54827428*p^ 89*q^936+915813848*p^87*q^938+11768029124*p^85*q^940+136476678286*p^83*q^942+ 1339308553706*p^81*q^944+10189881806260*p^79*q^946+41699937879684*p^77*q^948+ 55605579878426*p^75*q^950+20479495183535*p^73*q^952+3151032579328*p^71*q^954+ 328607145474*p^69*q^956+29560808620*p^67*q^958+2408829344*p^65*q^960+166783926* p^63*q^962+14218600*p^61*q^964+539152*p^59*q^966+1480*p^57*q^968+4*p^55*q^970+ 932*p^96*q^928+92856*p^94*q^930+322496*p^92*q^932+16215552*p^90*q^934+201629288 *p^88*q^936+3108828628*p^86*q^938+38568811763*p^84*q^940+412377777230*p^82*q^ 942+3671264137602*p^80*q^944+22185672507678*p^78*q^946+56160449718196*p^76*q^ 948+39933399247752*p^74*q^950+9042642433080*p^72*q^952+1105676979994*p^70*q^954 +105725339347*p^68*q^956+9085326152*p^66*q^958+724780771*p^64*q^960+46872144*p^ 62*q^962+4263400*p^60*q^964+59092*p^58*q^966+104*p^56*q^968+5312*p^95*q^928+ 97402*p^93*q^930+2195672*p^91*q^932+49873594*p^89*q^934+776823670*p^87*q^936+ 10370058424*p^85*q^938+120856646655*p^83*q^940+1200251900424*p^81*q^942+ 9255964469275*p^79*q^944+39716609246254*p^77*q^946+56148157041803*p^75*q^948+ 22032843066428*p^73*q^950+3481088117002*p^71*q^952+368710014264*p^69*q^954+ 33225971286*p^67*q^956+2700806920*p^65*q^958+193709375*p^63*q^960+14521954*p^61 *q^962+625502*p^59*q^964+3618*p^57*q^966+64*p^55*q^968+80*p^96*q^926+103736*p^ 94*q^928+184172*p^92*q^930+13758354*p^90*q^932+175429126*p^88*q^934+2787584860* p^86*q^936+34264309526*p^84*q^938+367746493605*p^82*q^940+3315178655392*p^80*q^ 942+20479084363780*p^78*q^944+55068789157446*p^76*q^946+41541496746898*p^74*q^ 948+9906325157052*p^72*q^950+1231356322633*p^70*q^952+119227744666*p^68*q^954+ 10295497987*p^66*q^956+826294144*p^64*q^958+51304958*p^62*q^960+5153500*p^60*q^ 962+123074*p^58*q^964+104*p^56*q^966+7252*p^95*q^926+179548*p^93*q^928+1828422* p^91*q^930+47876262*p^89*q^932+680684628*p^87*q^934+9164626982*p^85*q^936+ 107732620744*p^83*q^938+1072014921392*p^81*q^940+8432088739672*p^79*q^942+ 37478168852722*p^77*q^944+56827262911978*p^75*q^946+23532859767768*p^73*q^948+ 3863003979980*p^71*q^950+413357768951*p^69*q^952+37652056510*p^67*q^954+ 3072250396*p^65*q^956+231273270*p^63*q^958+16718366*p^61*q^960+1023000*p^59*q^ 962+4924*p^57*q^964+8*p^55*q^966+52170*p^94*q^926+178562*p^92*q^928+10423182*p^ 90*q^930+151772854*p^88*q^932+2435885202*p^86*q^934+30190935982*p^84*q^936+ 327540611402*p^82*q^938+2973974185288*p^80*q^940+18950312338656*p^78*q^942+ 53502726333139*p^76*q^944+43382466672704*p^74*q^946+10784028689233*p^72*q^948+ 1375167357482*p^70*q^950+133806851053*p^68*q^952+11616339998*p^66*q^954+ 923390418*p^64*q^956+56726372*p^62*q^958+5316580*p^60*q^960+96702*p^58*q^962+ 160*p^56*q^964+2516*p^95*q^924+279520*p^93*q^926+1201020*p^91*q^928+44163140*p^ 89*q^930+586694258*p^87*q^932+8132839514*p^85*q^934+95557482112*p^83*q^936+ 960820664984*p^81*q^938+7642055469779*p^79*q^940+35492699224936*p^77*q^942+ 57001568946989*p^75*q^944+25197934598730*p^73*q^946+4256540300686*p^71*q^948+ 463623911822*p^69*q^950+42280242060*p^67*q^952+3491332950*p^65*q^954+269839630* p^63*q^956+17346908*p^61*q^958+1479738*p^59*q^960+21806*p^57*q^962+4*p^55*q^964 +38160*p^94*q^924+263418*p^92*q^926+8397758*p^90*q^928+138631348*p^88*q^930+ 2148758771*p^86*q^932+26761934944*p^84*q^934+291848529904*p^82*q^936+ 2680323314018*p^80*q^938+17427888312250*p^78*q^940+52087981481268*p^76*q^942+ 44864828620686*p^74*q^944+11776366694168*p^72*q^946+1529892581870*p^70*q^948+ 150820668394*p^68*q^950+13172704439*p^66*q^952+1042632508*p^64*q^954+66453913*p ^62*q^956+6177516*p^60*q^958+170410*p^58*q^960+184*p^56*q^962+260*p^95*q^922+ 252036*p^93*q^924+916852*p^91*q^926+38976692*p^89*q^928+506802048*p^87*q^930+ 7221840234*p^85*q^932+85106495280*p^83*q^934+857130660094*p^81*q^936+ 6948022789410*p^79*q^938+33317642333236*p^77*q^940+57289597914594*p^75*q^942+ 26781489173086*p^73*q^944+4712749806724*p^71*q^946+518558510852*p^69*q^948+ 47803956960*p^67*q^950+3963415068*p^65*q^952+312586276*p^63*q^954+18335948*p^61 *q^956+1787064*p^59*q^958+18096*p^57*q^960+44*p^96*q^920+27678*p^94*q^922+ 488062*p^92*q^924+6327610*p^90*q^926+126657432*p^88*q^928+1880008204*p^86*q^930 +23592832869*p^84*q^932+259879160438*p^82*q^934+2402251432795*p^80*q^936+ 16065561696768*p^78*q^938+50291167690535*p^76*q^940+46528632619714*p^74*q^942+ 12777043604863*p^72*q^944+1706357555364*p^70*q^946+169280019689*p^68*q^948+ 14890246814*p^66*q^950+1172852045*p^64*q^952+79011984*p^62*q^954+6794406*p^60*q ^956+296130*p^58*q^958+2184*p^56*q^960+222*p^95*q^920+169266*p^93*q^922+676758* p^91*q^924+32448834*p^89*q^926+436326842*p^87*q^928+6384642664*p^85*q^930+ 75358634817*p^83*q^932+767398113108*p^81*q^934+6279634039924*p^79*q^936+ 31392041984162*p^77*q^938+57077307392270*p^75*q^940+28530287001170*p^73*q^942+ 5182092842319*p^71*q^944+580989358194*p^69*q^946+53701291731*p^67*q^948+ 4495135796*p^65*q^950+353056824*p^63*q^952+19271114*p^61*q^954+1965900*p^59*q^ 956+17868*p^57*q^958+5832*p^94*q^920+698624*p^92*q^922+4891712*p^90*q^924+ 118029198*p^88*q^926+1647410728*p^86*q^928+20958316584*p^84*q^930+231445792255* p^82*q^932+2162910142558*p^80*q^934+14721421458749*p^78*q^936+48665084705094*p^ 76*q^938+47823388926161*p^74*q^940+13892793958152*p^72*q^942+1894508655579*p^70 *q^944+190673620862*p^68*q^946+16788022265*p^66*q^948+1326396944*p^64*q^950+ 96597146*p^62*q^952+6963690*p^60*q^954+478666*p^58*q^956+4080*p^56*q^958+640*p^ 95*q^918+161352*p^93*q^920+836716*p^91*q^922+26924344*p^89*q^924+387100072*p^87 *q^926+5665457692*p^85*q^928+67035846340*p^83*q^930+684624180892*p^81*q^932+ 5695913939582*p^79*q^934+29313002247808*p^77*q^936+56978109847182*p^75*q^938+ 30163042173048*p^73*q^940+5723066986700*p^71*q^942+649879041346*p^69*q^944+ 60708432230*p^67*q^946+5139515003*p^65*q^948+404167704*p^63*q^950+21250280*p^61 *q^952+2585714*p^59*q^954+39356*p^57*q^956+76*p^55*q^958+4474*p^94*q^918+594410 *p^92*q^920+3507308*p^90*q^922+105794793*p^88*q^924+1423347350*p^86*q^926+ 18478342867*p^84*q^928+206122047462*p^82*q^930+1935154831818*p^80*q^932+ 13527594950930*p^78*q^934+46672721008358*p^76*q^936+49296852751248*p^74*q^938+ 15015919213607*p^72*q^940+2109498759360*p^70*q^942+213557463840*p^68*q^944+ 18934663856*p^66*q^946+1492031184*p^64*q^948+112349238*p^62*q^950+7119319*p^60* q^952+519858*p^58*q^954+858*p^56*q^956+96*p^95*q^916+64586*p^93*q^918+1305188*p ^91*q^920+21428474*p^89*q^922+343332488*p^87*q^924+4996835368*p^85*q^926+ 59356187080*p^83*q^928+611995065754*p^81*q^930+5140169339496*p^79*q^932+ 27480576186636*p^77*q^934+56369719608569*p^75*q^936+31962620522116*p^73*q^938+ 6276508489082*p^71*q^940+727078631628*p^69*q^942+68246985987*p^67*q^944+ 5822604278*p^65*q^946+449853514*p^63*q^948+25771166*p^61*q^950+2714156*p^59*q^ 952+86240*p^57*q^954+636*p^55*q^956+4274*p^94*q^916+612220*p^92*q^918+2783740*p ^90*q^920+93510322*p^88*q^922+1242612893*p^86*q^924+16453569734*p^84*q^926+ 183329723556*p^82*q^928+1741193905270*p^80*q^930+12353628843019*p^78*q^932+ 44898318270344*p^76*q^934+50317020343625*p^74*q^936+16269015524142*p^72*q^938+ 2338104941027*p^70*q^940+240413592410*p^68*q^942+21356074240*p^66*q^944+ 1708044678*p^64*q^946+133469114*p^62*q^948+6566548*p^60*q^950+760784*p^58*q^952 +3480*p^56*q^954+42984*p^93*q^916+1501496*p^91*q^918+17260828*p^89*q^920+ 314144000*p^87*q^922+4417609708*p^85*q^924+52700711024*p^83*q^926+546044766219* p^81*q^928+4651827208808*p^79*q^930+25547083177968*p^77*q^932+55890973243588*p^ 75*q^934+33595670645072*p^73*q^936+6912498493786*p^71*q^938+811899078618*p^69*q ^940+77113847526*p^67*q^942+6601437670*p^65*q^944+504384752*p^63*q^946+31767738 *p^61*q^948+3145346*p^59*q^950+122822*p^57*q^952+2664*p^94*q^914+405446*p^92*q^ 916+2878706*p^90*q^918+79249964*p^88*q^920+1077207610*p^86*q^922+14514916885*p^ 84*q^924+163255816678*p^82*q^926+1556119985147*p^80*q^928+11312869175048*p^78*q ^930+42801138868474*p^76*q^932+51535182454516*p^74*q^934+17505894324378*p^72*q^ 936+2599641587712*p^70*q^938+269218977255*p^68*q^940+24093582944*p^66*q^942+ 1946692838*p^64*q^944+153579570*p^62*q^946+6753304*p^60*q^948+900668*p^58*q^950 +8658*p^56*q^952+44*p^54*q^954+25154*p^93*q^914+1678824*p^91*q^916+12696080*p^ 89*q^918+282270454*p^87*q^920+3865841648*p^85*q^922+46643492350*p^83*q^924+ 487684865390*p^81*q^926+4190639504419*p^79*q^928+23835439498346*p^77*q^930+ 54931893152137*p^75*q^932+35407024368978*p^73*q^934+7556982578589*p^71*q^936+ 907576890050*p^69*q^938+86540502625*p^67*q^940+7445925976*p^65*q^942+560667214* p^63*q^944+38389448*p^61*q^946+2801294*p^59*q^948+156208*p^57*q^950+164*p^55*q^ 952+354*p^94*q^912+262404*p^92*q^914+3147008*p^90*q^916+68101004*p^88*q^918+ 951014392*p^86*q^920+12934615474*p^84*q^922+145245449109*p^82*q^924+ 1398591896222*p^80*q^926+10304622946046*p^78*q^928+40915654226880*p^76*q^930+ 52259693746044*p^74*q^932+18884678447392*p^72*q^934+2876208515241*p^70*q^936+ 302645235004*p^68*q^938+27184569758*p^66*q^940+2240768778*p^64*q^942+174318138* p^62*q^944+7909788*p^60*q^946+1218246*p^58*q^948+23200*p^56*q^950+24428*p^93*q^ 912+1581140*p^91*q^914+11059278*p^89*q^916+253924384*p^87*q^918+3395377816*p^85 *q^920+41442337480*p^83*q^922+434426219376*p^81*q^924+3786377630486*p^79*q^926+ 22062027025784*p^77*q^928+54085683489454*p^75*q^930+37004173097733*p^73*q^932+ 8300337534914*p^71*q^934+1011693269645*p^69*q^936+97751496036*p^67*q^938+ 8427023194*p^65*q^940+634633574*p^63*q^942+47843146*p^61*q^944+2551862*p^59*q^ 946+228314*p^57*q^948+364*p^55*q^950+172*p^94*q^910+168342*p^92*q^912+3679316*p ^90*q^914+53836730*p^88*q^916+840636908*p^86*q^918+11414344412*p^84*q^920+ 129107153520*p^82*q^922+1249538981702*p^80*q^924+9408493925920*p^78*q^926+ 38789281084130*p^76*q^928+53147593271138*p^74*q^930+20231931717434*p^72*q^932+ 3191559575978*p^70*q^934+338674960004*p^68*q^936+30670634932*p^66*q^938+ 2540343005*p^64*q^940+193830042*p^62*q^942+9357644*p^60*q^944+1293114*p^58*q^ 946+24908*p^56*q^948+40*p^95*q^908+9064*p^93*q^910+1154166*p^91*q^912+9082566*p ^89*q^914+224423664*p^87*q^916+2961416074*p^85*q^918+36652463083*p^83*q^920+ 388175405158*p^81*q^922+3404015058742*p^79*q^924+20496892941338*p^77*q^926+ 52813340548979*p^75*q^928+38761143044684*p^73*q^930+9047273898794*p^71*q^932+ 1129441814820*p^69*q^934+109689092127*p^67*q^936+9491473108*p^65*q^938+ 721359694*p^63*q^940+56324698*p^61*q^942+2263430*p^59*q^944+336476*p^57*q^946+ 2532*p^55*q^948+128616*p^92*q^910+4267266*p^90*q^912+45204928*p^88*q^914+ 754779728*p^86*q^916+10131488894*p^84*q^918+114862873663*p^82*q^920+ 1121620984978*p^80*q^922+8545944961625*p^78*q^924+36875252879812*p^76*q^926+ 53543197829007*p^74*q^928+21720971200094*p^72*q^930+3523148743241*p^70*q^932+ 380516275340*p^68*q^934+34588043514*p^66*q^936+2901471916*p^64*q^938+214988010* p^62*q^940+12440004*p^60*q^942+1223052*p^58*q^944+41088*p^56*q^946+3780*p^93*q^ 908+916380*p^91*q^910+8697378*p^89*q^912+194446550*p^87*q^914+2595419549*p^85*q ^916+32607272108*p^83*q^918+345600504941*p^81*q^920+3071838807858*p^79*q^922+ 18890149642725*p^77*q^924+51658493708704*p^75*q^926+40274473434203*p^73*q^928+ 9900311071590*p^71*q^930+1257786880092*p^69*q^932+123670177558*p^67*q^934+ 10726861951*p^65*q^936+833871056*p^63*q^938+66198382*p^61*q^940+2138884*p^59*q^ 942+493942*p^57*q^944+4198*p^55*q^946+8*p^96*q^904+592*p^94*q^906+94634*p^92*q^ 908+3785734*p^90*q^910+37106068*p^88*q^912+675821074*p^86*q^914+8917457142*p^84 *q^916+102043906174*p^82*q^918+1001143918354*p^80*q^920+7783773464436*p^78*q^ 922+34753040499677*p^76*q^924+54095392792556*p^74*q^926+23160843352003*p^72*q^ 928+3902162077124*p^70*q^930+425144911824*p^68*q^932+39087745398*p^66*q^934+ 3283462791*p^64*q^936+235302612*p^62*q^938+15711198*p^60*q^940+1145412*p^58*q^ 942+59098*p^56*q^944+92*p^54*q^946+868*p^93*q^906+575672*p^91*q^908+9722060*p^ 89*q^910+163155930*p^87*q^912+2273032406*p^85*q^914+28863985573*p^83*q^916+ 308440006324*p^81*q^918+2758236636372*p^79*q^920+17482014457842*p^77*q^922+ 50095806539734*p^75*q^924+41934563241248*p^73*q^926+10758274322450*p^71*q^928+ 1401826505342*p^69*q^930+138658738600*p^67*q^932+12065679310*p^65*q^934+ 950571988*p^63*q^936+75298150*p^61*q^938+2602606*p^59*q^940+483382*p^57*q^942+ 4608*p^55*q^944+4*p^96*q^902+80*p^94*q^904+43304*p^92*q^906+3494818*p^90*q^908+ 29656626*p^88*q^910+606185534*p^86*q^912+7881681136*p^84*q^914+90621448692*p^82 *q^916+897937588348*p^80*q^918+7053994181614*p^78*q^920+32868549797570*p^76*q^ 922+54110899522574*p^74*q^924+24749570693176*p^72*q^926+4297141448560*p^70*q^ 928+477019419808*p^68*q^930+44074906508*p^66*q^932+3731349826*p^64*q^934+ 265938478*p^62*q^936+19498466*p^60*q^938+739736*p^58*q^940+137120*p^56*q^942+ 628*p^54*q^944+104*p^95*q^902+3924*p^93*q^904+541914*p^91*q^906+9993250*p^89*q^ 908+142546822*p^87*q^910+2022121964*p^85*q^912+25697236136*p^83*q^914+ 274845072779*p^81*q^916+2485497710942*p^79*q^918+16053707950014*p^77*q^920+ 48694413951556*p^75*q^922+43278370233583*p^73*q^924+11732781005088*p^71*q^926+ 1558917973529*p^69*q^928+156358133086*p^67*q^930+13638801496*p^65*q^932+ 1101445130*p^63*q^934+84024436*p^61*q^936+3670686*p^59*q^938+618604*p^57*q^940+ 6054*p^55*q^942+8*p^96*q^900+19252*p^92*q^904+2489008*p^90*q^906+26870022*p^88* q^908+527834844*p^86*q^910+6884161367*p^84*q^912+80439445956*p^82*q^914+ 800397663443*p^80*q^916+6405751035752*p^78*q^918+30820310587094*p^76*q^920+ 54303405031558*p^74*q^922+26251654796933*p^72*q^924+4748661269066*p^70*q^926+ 532663438927*p^68*q^928+49689947368*p^66*q^930+4195360861*p^64*q^932+299752368* p^62*q^934+23677438*p^60*q^936+559068*p^58*q^938+141592*p^56*q^940+248*p^54*q^ 942+76*p^95*q^900+2176*p^93*q^902+335826*p^91*q^904+9924394*p^89*q^906+ 115402097*p^87*q^908+1792503008*p^85*q^910+22742471329*p^83*q^912+245213601244* p^81*q^914+2229660559692*p^79*q^916+14802363334666*p^77*q^918+46930211242686*p^ 75*q^920+44797369933248*p^73*q^922+12694281241065*p^71*q^924+1735626407608*p^69 *q^926+175008707040*p^67*q^928+15393602644*p^65*q^930+1254647032*p^63*q^932+ 90177294*p^61*q^934+4704604*p^59*q^936+463380*p^57*q^938+24662*p^55*q^940+44*p^ 53*q^942+544*p^94*q^900+18134*p^92*q^902+2156560*p^90*q^904+26071102*p^88*q^906 +470484811*p^86*q^908+6087469600*p^84*q^910+71560390805*p^82*q^912+717454468032 *p^80*q^914+5793940762691*p^78*q^916+28983043039546*p^76*q^918+53963731110995*p ^74*q^920+27906836570022*p^72*q^922+5217234456549*p^70*q^924+596814194750*p^68* q^926+56065643629*p^66*q^928+4748003584*p^64*q^930+346835020*p^62*q^932+ 28970850*p^60*q^934+698834*p^58*q^936+223712*p^56*q^938+306*p^54*q^940+144*p^95 *q^898+208*p^93*q^900+194072*p^91*q^902+8824344*p^89*q^904+96798010*p^87*q^906+ 1589866370*p^85*q^908+20164113106*p^83*q^910+217970337608*p^81*q^912+ 2006492221004*p^79*q^914+13546921072711*p^77*q^916+45320643080794*p^75*q^918+ 45945408726559*p^73*q^920+13797100718490*p^71*q^922+1925347095724*p^69*q^924+ 197189482562*p^67*q^926+17395395032*p^65*q^928+1440493970*p^63*q^930+98872092*p ^61*q^932+6090354*p^59*q^934+272978*p^57*q^936+32934*p^55*q^938+716*p^94*q^898+ 21914*p^92*q^900+1773920*p^90*q^902+25549868*p^88*q^904+405685528*p^86*q^906+ 5358328353*p^84*q^908+63561878820*p^82*q^910+639809390494*p^80*q^912+ 5252453704886*p^78*q^914+27048902085386*p^76*q^916+53759183470742*p^74*q^918+ 29448137862155*p^72*q^920+5749565572114*p^70*q^922+665804771182*p^68*q^924+ 63133666006*p^66*q^926+5332251385*p^64*q^928+399616310*p^62*q^930+32674366*p^60 *q^932+932070*p^58*q^934+260994*p^56*q^936+2396*p^54*q^938+8*p^95*q^896+1620*p^ 93*q^898+103918*p^91*q^900+7235082*p^89*q^902+82241310*p^87*q^904+1415594618*p^ 85*q^906+17762500282*p^83*q^908+194317984286*p^81*q^910+1796885910543*p^79*q^ 912+12446301817930*p^77*q^914+43414367015961*p^75*q^916+47237258594596*p^73*q^ 918+14875283316039*p^71*q^920+2141251930480*p^69*q^922+220631946764*p^67*q^924+ 19698896612*p^65*q^926+1631556282*p^63*q^928+108758090*p^61*q^930+7947290*p^59* q^932+155804*p^57*q^934+47234*p^55*q^936+1184*p^94*q^896+5504*p^92*q^898+ 1217752*p^90*q^900+25081004*p^88*q^902+347212812*p^86*q^904+4728860626*p^84*q^ 906+56539481986*p^82*q^908+573123046494*p^80*q^910+4741165669351*p^78*q^912+ 25327596357000*p^76*q^914+53070359773865*p^74*q^916+31124809798086*p^72*q^918+ 6297968195449*p^70*q^920+744766497448*p^68*q^922+71020063524*p^66*q^924+ 5995547626*p^64*q^926+463919282*p^62*q^928+35513080*p^60*q^930+1296322*p^58*q^ 932+189524*p^56*q^934+6314*p^54*q^936+3716*p^93*q^896+128934*p^91*q^898+6759842 *p^89*q^900+75093964*p^87*q^902+1263965693*p^85*q^904+15784375704*p^83*q^906+ 172841442172*p^81*q^908+1615322485158*p^79*q^910+11354852708816*p^77*q^912+ 41666721491218*p^75*q^914+48135522419809*p^73*q^916+16092591262028*p^71*q^918+ 2372766418714*p^69*q^920+248435303534*p^67*q^922+22293627461*p^65*q^924+ 1871078172*p^63*q^926+123726298*p^61*q^928+10480740*p^59*q^930+149680*p^57*q^ 932+96674*p^55*q^934+88*p^53*q^936+428*p^94*q^894+5838*p^92*q^896+736560*p^90*q ^898+21878550*p^88*q^900+291114460*p^86*q^902+4158890313*p^84*q^904+50109137854 *p^82*q^906+510285220004*p^80*q^908+4290142826542*p^78*q^910+23516811121663*p^ 76*q^912+52535212884600*p^74*q^914+32663418472705*p^72*q^916+6923160726352*p^70 *q^918+829675658342*p^68*q^920+79926903410*p^66*q^922+6765448789*p^64*q^924+ 531872186*p^62*q^926+38074384*p^60*q^928+1666262*p^58*q^930+107692*p^56*q^932+ 5014*p^54*q^934+8*p^95*q^892+5948*p^93*q^894+64890*p^91*q^896+5407198*p^89*q^ 898+69697990*p^87*q^900+1111420764*p^85*q^902+13908120226*p^83*q^904+ 154071719800*p^81*q^906+1445960061326*p^79*q^908+10401216827270*p^77*q^910+ 39673867342895*p^75*q^912+49166225709732*p^73*q^914+17276641223721*p^71*q^916+ 2631699513650*p^69*q^918+277650518535*p^67*q^920+25185762422*p^65*q^922+ 2078663218*p^63*q^924+140586022*p^61*q^926+12257732*p^59*q^928+226296*p^57*q^ 930+92860*p^55*q^932+820*p^53*q^934+24*p^94*q^892+11748*p^92*q^894+604022*p^90* q^896+20720754*p^88*q^898+249764462*p^86*q^900+3719688098*p^84*q^902+ 44516535582*p^82*q^904+456896801042*p^80*q^906+3865757265715*p^78*q^908+ 21923434558688*p^76*q^910+51492758923700*p^74*q^912+34341077265686*p^72*q^914+ 7561905814070*p^70*q^916+927842296880*p^68*q^918+89981488468*p^66*q^920+ 7673048142*p^64*q^922+628113435*p^62*q^924+41533872*p^60*q^926+2473732*p^58*q^ 928+29736*p^56*q^930+21786*p^54*q^932+5302*p^93*q^892+42500*p^91*q^894+4094756* p^89*q^896+63198582*p^87*q^898+973731857*p^85*q^900+12268198986*p^83*q^902+ 137012975100*p^81*q^904+1298397682866*p^79*q^906+9462324706506*p^77*q^908+ 37861925924890*p^75*q^910+49754145388571*p^73*q^912+18610773478728*p^71*q^914+ 2909710965611*p^69*q^916+311921343054*p^67*q^918+28396989408*p^65*q^920+ 2344582260*p^63*q^922+160567769*p^61*q^924+13806702*p^59*q^926+305238*p^57*q^ 928+85022*p^55*q^930+180*p^53*q^932+152*p^94*q^890+20612*p^92*q^892+463036*p^90 *q^894+18508070*p^88*q^896+220858120*p^86*q^898+3289503882*p^84*q^900+ 39545647556*p^82*q^902+406696648006*p^80*q^904+3491319472610*p^78*q^906+ 20273793617221*p^76*q^908+50634068000274*p^74*q^910+35816123040034*p^72*q^912+ 8288103210546*p^70*q^914+1032301303691*p^68*q^916+101332295840*p^66*q^918+ 8693507151*p^64*q^920+719107480*p^62*q^922+45067074*p^60*q^924+3437582*p^58*q^ 926+28600*p^56*q^928+28876*p^54*q^930+48*p^52*q^932+992*p^93*q^890+36360*p^91*q ^892+2831540*p^89*q^894+57857436*p^87*q^896+828950158*p^85*q^898+10813323067*p^ 83*q^900+121869553844*p^81*q^902+1160920161437*p^79*q^904+8642402847168*p^77*q^ 906+35844587582018*p^75*q^908+50495371555176*p^73*q^910+19884515104787*p^71*q^ 912+3222823817386*p^69*q^914+348408091721*p^67*q^916+31998164062*p^65*q^918+ 2612929360*p^63*q^920+188578148*p^61*q^922+15113274*p^59*q^924+399506*p^57*q^ 926+25708*p^55*q^928+2650*p^53*q^930+16*p^94*q^888+30952*p^92*q^890+294474*p^90 *q^892+16252726*p^88*q^894+194832000*p^86*q^896+2952104046*p^84*q^898+ 35089936804*p^82*q^900+364132773430*p^80*q^902+3142616379097*p^78*q^904+ 18816244830460*p^76*q^906+49318384719265*p^74*q^908+37432744225326*p^72*q^910+ 9021506012479*p^70*q^912+1152360293122*p^68*q^914+113780896289*p^66*q^916+ 9903388432*p^64*q^918+817169827*p^62*q^920+48763158*p^60*q^922+4339460*p^58*q^ 924+54736*p^56*q^926+40692*p^54*q^928+1420*p^93*q^888+55988*p^91*q^890+2399448* p^89*q^892+54289980*p^87*q^894+727381478*p^85*q^896+9580574694*p^83*q^898+ 108402111699*p^81*q^900+1041510867036*p^79*q^902+7843239319552*p^77*q^904+ 34008061689924*p^75*q^906+50753412535447*p^73*q^908+21325104039914*p^71*q^910+ 3554926531459*p^69*q^912+391222630256*p^67*q^914+36146013627*p^65*q^916+ 2949620296*p^63*q^918+228222158*p^61*q^920+16947742*p^59*q^922+691202*p^57*q^ 924+2960*p^55*q^926+5872*p^53*q^928+14244*p^92*q^888+208370*p^90*q^890+12475424 *p^88*q^892+170315438*p^86*q^894+2576441590*p^84*q^896+31028621816*p^82*q^898+ 323695295507*p^80*q^900+2833546352274*p^78*q^902+17332590104643*p^76*q^904+ 48161842815286*p^74*q^906+38813582445957*p^72*q^908+9855408434884*p^70*q^910+ 1280113560046*p^68*q^912+128004993580*p^66*q^914+11148881283*p^64*q^916+ 917760328*p^62*q^918+52738527*p^60*q^920+4949806*p^58*q^922+49022*p^56*q^924+ 25018*p^54*q^926+122*p^52*q^928+536*p^93*q^886+105872*p^91*q^888+1654028*p^89*q ^890+50071988*p^87*q^892+633115724*p^85*q^894+8500386164*p^83*q^896+96558438644 *p^81*q^898+931028543331*p^79*q^900+7145707973134*p^77*q^902+32034721733195*p^ 75*q^904+51145679652416*p^73*q^906+22676483278770*p^71*q^908+3929157612748*p^69 *q^910+436686638441*p^67*q^912+40691667944*p^65*q^914+3341984963*p^63*q^916+ 267359016*p^61*q^918+17540312*p^59*q^920+1052152*p^57*q^922+7720*p^55*q^924+ 10652*p^53*q^926+9716*p^92*q^886+169726*p^90*q^888+10200168*p^88*q^890+ 155322208*p^86*q^892+2271746492*p^84*q^894+27470863386*p^82*q^896+289530251970* p^80*q^898+2545431189791*p^78*q^900+16026606115994*p^76*q^902+46610377568290*p^ 74*q^904+40308871889658*p^72*q^906+10690843091956*p^70*q^908+1427435024130*p^68 *q^910+143603237997*p^66*q^912+12684422822*p^64*q^914+1018883363*p^62*q^916+ 63439042*p^60*q^918+6078744*p^58*q^920+90880*p^56*q^922+2320*p^54*q^924+784*p^ 52*q^926+84*p^93*q^884+94894*p^91*q^886+1288420*p^89*q^888+44717106*p^87*q^890+ 549579708*p^85*q^892+7571230864*p^83*q^894+85863833812*p^81*q^896+834648129732* p^79*q^898+6471258940640*p^77*q^900+30233424936106*p^75*q^902+51077989720029*p^ 73*q^904+24186845670240*p^71*q^906+4324040438540*p^69*q^908+489449245432*p^67*q ^910+45885382354*p^65*q^912+3791687602*p^63*q^914+315171782*p^61*q^916+17316576 *p^59*q^918+1326438*p^57*q^920+7516*p^55*q^922+14584*p^53*q^924+8*p^94*q^882+ 6864*p^92*q^884+274006*p^90*q^886+7884795*p^88*q^888+141439958*p^86*q^890+ 1991412862*p^84*q^892+24300795594*p^82*q^894+257337254789*p^80*q^896+ 2292988385192*p^78*q^898+14702090012218*p^76*q^900+45232518647504*p^74*q^902+ 41534022436269*p^72*q^904+11636975859986*p^70*q^906+1583475816741*p^68*q^908+ 161602111052*p^66*q^910+14303480902*p^64*q^912+1142396478*p^62*q^914+75750202*p ^60*q^916+7072584*p^58*q^918+176686*p^56*q^920+600*p^54*q^922+1328*p^52*q^924+ 64*p^93*q^882+58586*p^91*q^884+813662*p^89*q^886+37313522*p^87*q^888+476598300* p^85*q^890+6672853971*p^83*q^892+76290054378*p^81*q^894+745253682640*p^79*q^896 +5881461361692*p^77*q^898+28326250309149*p^75*q^900+51132560692320*p^73*q^902+ 25600233713742*p^71*q^904+4766636408782*p^69*q^906+545559764390*p^67*q^908+ 51604970264*p^65*q^910+4298626649*p^63*q^912+353506938*p^61*q^914+17728464*p^59 *q^916+1645192*p^57*q^918+6560*p^55*q^920+2904*p^53*q^922+52*p^51*q^924+1864*p^ 92*q^882+356616*p^90*q^884+6283352*p^88*q^886+132132615*p^86*q^888+1753763868*p ^84*q^890+21581393305*p^82*q^892+230177849246*p^80*q^894+2058608845683*p^78*q^ 896+13551283371410*p^76*q^898+43488564963171*p^74*q^900+42867110616634*p^72*q^ 902+12573301870519*p^70*q^904+1762168390690*p^68*q^906+181153518380*p^66*q^908+ 16202479290*p^64*q^910+1274749110*p^62*q^912+95839994*p^60*q^914+7222837*p^58*q ^916+283772*p^56*q^918+1320*p^54*q^920+4862*p^52*q^922+136*p^93*q^880+50928*p^ 91*q^882+850570*p^89*q^884+31604876*p^87*q^886+423343718*p^85*q^888+5938524796* p^83*q^890+67748175452*p^81*q^892+667749615742*p^79*q^894+5313809241211*p^77*q^ 896+26603379800918*p^75*q^898+50693257822973*p^73*q^900+27169128205104*p^71*q^ 902+5234443804019*p^69*q^904+611387021286*p^67*q^906+58181658559*p^65*q^908+ 4924394650*p^63*q^910+405642079*p^61*q^912+19283206*p^59*q^914+2365242*p^57*q^ 916+18776*p^55*q^918+16*p^53*q^920+52*p^51*q^922+1524*p^92*q^880+282358*p^90*q^ 882+4469838*p^88*q^884+118178032*p^86*q^886+1516860224*p^84*q^888+19078441748*p ^82*q^890+204537928302*p^80*q^892+1850736852334*p^78*q^894+12395012174247*p^76* q^896+41949119850450*p^74*q^898+43876213251020*p^72*q^900+13633549480826*p^70*q ^902+1951228559238*p^68*q^904+203280367690*p^66*q^906+18197575396*p^64*q^908+ 1427316890*p^62*q^910+111706584*p^60*q^912+6908052*p^58*q^914+333354*p^56*q^916 +160*p^54*q^918+2134*p^52*q^920+64*p^93*q^878+22020*p^91*q^880+990068*p^89*q^ 882+25509028*p^87*q^884+377013746*p^85*q^886+5236795842*p^83*q^888+60236872604* p^81*q^890+595676166367*p^79*q^892+4821038004864*p^77*q^894+24804549907895*p^75 *q^896+50416603448296*p^73*q^898+28584883287408*p^71*q^900+5756773851192*p^69*q ^902+680789833516*p^67*q^904+65540648176*p^65*q^906+5583292800*p^63*q^908+ 447499072*p^61*q^910+24245312*p^59*q^912+2783020*p^57*q^914+41684*p^55*q^916+ 132*p^53*q^918+858*p^51*q^920+1088*p^92*q^878+260274*p^90*q^880+3558048*p^88*q^ 882+105775570*p^86*q^884+1330894426*p^84*q^886+16975371917*p^82*q^888+ 182664211612*p^80*q^890+1660480197658*p^78*q^892+11380071391658*p^76*q^894+ 40101763994061*p^74*q^896+45002767542926*p^72*q^898+14670068983121*p^70*q^900+ 2168237619278*p^68*q^902+227711638633*p^66*q^904+20592799854*p^64*q^906+ 1623967532*p^62*q^908+134964776*p^60*q^910+6116786*p^58*q^912+545112*p^56*q^914 +1164*p^54*q^916+17206*p^91*q^878+1000190*p^89*q^880+20745512*p^87*q^882+ 343713986*p^85*q^884+4638619720*p^83*q^886+53377858356*p^81*q^888+533718344614* p^79*q^890+4347906374468*p^77*q^892+23185168150248*p^75*q^894+49651777101416*p^ 73*q^896+30173577342768*p^71*q^898+6299615927269*p^69*q^900+761579314912*p^67*q ^902+73793758093*p^65*q^904+6347704440*p^63*q^906+493865214*p^61*q^908+30425842 *p^59*q^910+3138524*p^57*q^912+59276*p^55*q^914+936*p^51*q^918+1312*p^92*q^876+ 166010*p^90*q^878+3285760*p^88*q^880+90112992*p^86*q^882+1156834064*p^84*q^884+ 15021254604*p^82*q^886+162404071903*p^80*q^888+1491288900804*p^78*q^890+ 10378867974793*p^76*q^892+38429006489060*p^74*q^894+45769602640859*p^72*q^896+ 15844639722002*p^70*q^898+2396473488226*p^68*q^900+255610691530*p^66*q^902+ 23147116863*p^64*q^904+1854924204*p^62*q^906+156758296*p^60*q^908+5876788*p^58* q^910+779826*p^56*q^912+3188*p^54*q^914+4*p^52*q^916+62*p^50*q^918+8676*p^91*q^ 876+986204*p^89*q^878+15543584*p^87*q^880+312122608*p^85*q^882+4062251518*p^83* q^884+47426117920*p^81*q^886+475600510405*p^79*q^888+3936889417932*p^77*q^890+ 21524241315145*p^75*q^892+49037690900844*p^73*q^894+31577580496976*p^71*q^896+ 6909154159092*p^69*q^898+846956324059*p^67*q^900+82978516150*p^65*q^902+ 7164263241*p^63*q^904+542849618*p^61*q^906+37132526*p^59*q^908+2945248*p^57*q^ 910+83224*p^55*q^912+28*p^53*q^914+220*p^92*q^874+119418*p^90*q^876+3015698*p^ 88*q^878+78158102*p^86*q^880+1020096594*p^84*q^882+13366524762*p^82*q^884+ 144995960814*p^80*q^886+1336549421437*p^78*q^888+9504618659176*p^76*q^890+ 36528216315984*p^74*q^892+46615434904158*p^72*q^894+16976098005010*p^70*q^896+ 2658362006004*p^68*q^898+285846869998*p^66*q^900+26185906516*p^64*q^902+ 2126486234*p^62*q^904+176975692*p^60*q^906+7211000*p^58*q^908+1075010*p^56*q^ 910+8712*p^54*q^912+242*p^50*q^916+2*p^95*q^870+11104*p^91*q^874+841908*p^89*q^ 876+13633292*p^87*q^878+280425388*p^85*q^880+3587432250*p^83*q^882+42085362152* p^81*q^884+425631806446*p^79*q^886+3545131957440*p^77*q^888+20031615495642*p^75 *q^890+47979812532110*p^73*q^892+33128564962822*p^71*q^894+7539364504637*p^69*q ^896+946153420338*p^67*q^898+93360734736*p^65*q^900+8126682344*p^63*q^902+ 606963142*p^61*q^904+48291762*p^59*q^906+2347852*p^57*q^908+147924*p^55*q^910+ 80*p^53*q^912+36*p^92*q^872+77714*p^90*q^874+3064504*p^88*q^876+62358952*p^86*q ^878+907154414*p^84*q^880+11826643836*p^82*q^882+128667635841*p^80*q^884+ 1199730861408*p^78*q^886+8640967775806*p^76*q^888+34811143700776*p^74*q^890+ 47098202435506*p^72*q^892+18248368973696*p^70*q^894+2933536481519*p^68*q^896+ 320517466300*p^66*q^898+29465102742*p^64*q^900+2427385574*p^62*q^902+195789896* p^60*q^904+8285546*p^58*q^906+1314912*p^56*q^908+10200*p^54*q^910+8*p^95*q^868+ 16*p^93*q^870+5550*p^91*q^872+609534*p^89*q^874+10697920*p^87*q^876+249888892*p ^85*q^878+3118139626*p^83*q^880+37356475580*p^81*q^882+379357010692*p^79*q^884+ 3204259139434*p^77*q^886+18516128243764*p^75*q^888+47085155863082*p^73*q^890+ 34471991192011*p^71*q^892+8241459276000*p^69*q^894+1050307348284*p^67*q^896+ 104949002514*p^65*q^898+9122826610*p^63*q^900+683283990*p^61*q^902+56954396*p^ 59*q^904+1987218*p^57*q^906+235876*p^55*q^908+724*p^53*q^910+34*p^49*q^914+26*p ^94*q^868+60744*p^90*q^872+3074560*p^88*q^874+53238258*p^86*q^876+817448314*p^ 84*q^878+10505133081*p^82*q^880+114916268142*p^80*q^882+1074182941624*p^78*q^ 884+7893267514492*p^76*q^886+32898116742923*p^74*q^888+47657594252062*p^72*q^ 890+19461971363400*p^70*q^892+3245823785398*p^68*q^894+358473860768*p^66*q^896+ 33308998600*p^64*q^898+2780437165*p^62*q^900+213547136*p^60*q^902+11914751*p^58 *q^904+1261298*p^56*q^906+17888*p^54*q^908+1372*p^91*q^870+510710*p^89*q^872+ 9652252*p^87*q^874+217290300*p^85*q^876+2745024086*p^83*q^878+33176330005*p^81* q^880+339233240254*p^79*q^882+2881320604078*p^77*q^884+17163677039740*p^75*q^ 886+45748952435691*p^73*q^888+35960531296396*p^71*q^890+8962985834819*p^69*q^ 892+1172509237202*p^67*q^894+117795227110*p^65*q^896+10336720852*p^63*q^898+ 783392846*p^61*q^900+68481410*p^59*q^902+1734650*p^57*q^904+399902*p^55*q^906+ 1376*p^53*q^908+128*p^94*q^866+264*p^92*q^868+56582*p^90*q^870+2499358*p^88*q^ 872+43511420*p^86*q^874+732530278*p^84*q^876+9266841998*p^82*q^878+101904691494 *p^80*q^880+963143097976*p^78*q^882+7159648195441*p^76*q^884+31183165975522*p^ 74*q^886+47817588964867*p^72*q^888+20823499159984*p^70*q^890+3573981225062*p^68 *q^892+401045151114*p^66*q^894+37532639862*p^64*q^896+3154841754*p^62*q^898+ 230894002*p^60*q^900+15020262*p^58*q^902+1043006*p^56*q^904+30888*p^54*q^906+20 *p^52*q^908+2*p^48*q^912+134*p^93*q^866+452*p^91*q^868+318092*p^89*q^870+ 9428228*p^87*q^872+184391244*p^85*q^874+2407742046*p^83*q^876+29486015298*p^81* q^878+302187086960*p^79*q^880+2600685113578*p^77*q^882+15804629183965*p^75*q^ 884+44610824285512*p^73*q^886+37174172538926*p^71*q^888+9768577987668*p^69*q^ 890+1299734903033*p^67*q^892+132434304694*p^65*q^894+11588868157*p^63*q^896+ 898341672*p^61*q^898+77095392*p^59*q^900+2280052*p^57*q^902+485000*p^55*q^904+ 1132*p^53*q^906+8*p^94*q^864+28*p^92*q^866+22924*p^90*q^868+2285398*p^88*q^870+ 35259850*p^86*q^872+661773320*p^84*q^874+8184806832*p^82*q^876+90844737288*p^80 *q^878+861766214829*p^78*q^880+6522580145306*p^76*q^882+29318990082896*p^74*q^ 884+48068872492900*p^72*q^886+22097169761797*p^70*q^888+3945988321384*p^68*q^ 890+447847719513*p^66*q^892+42390171550*p^64*q^894+3587860512*p^62*q^896+ 253916998*p^60*q^898+19727298*p^58*q^900+627132*p^56*q^902+78966*p^54*q^904+136 *p^52*q^906+884*p^93*q^864+1904*p^91*q^866+333482*p^89*q^868+8655780*p^87*q^870 +161211258*p^85*q^872+2145760492*p^83*q^874+26203214520*p^81*q^876+270297184892 *p^79*q^878+2336434741531*p^77*q^880+14592700334448*p^75*q^882+43077408978671*p ^73*q^884+38542092410156*p^71*q^886+10580672983548*p^69*q^888+1448476004656*p^ 67*q^890+148553001978*p^65*q^892+13153817714*p^63*q^894+1039591478*p^61*q^896+ 86582514*p^59*q^898+3214580*p^57*q^900+561124*p^55*q^902+2124*p^53*q^904+8*p^94 *q^862+348*p^92*q^864+10636*p^90*q^866+1652693*p^88*q^868+30728636*p^86*q^870+ 577912088*p^84*q^872+7174898232*p^82*q^874+80535321257*p^80*q^876+771749209678* p^78*q^878+5902450836678*p^76*q^880+27639557039498*p^74*q^882+47903293659025*p^ 72*q^884+23529254672760*p^70*q^886+4334058637140*p^68*q^888+501001130314*p^66*q ^890+47675515273*p^64*q^892+4031639484*p^62*q^894+282703348*p^60*q^896+24065836 *p^58*q^898+423974*p^56*q^900+115728*p^54*q^902+20*p^52*q^904+316*p^93*q^862+ 1004*p^91*q^864+215168*p^89*q^866+7884162*p^87*q^868+132192324*p^85*q^870+ 1910936884*p^83*q^872+23270588316*p^81*q^874+240638639162*p^79*q^876+ 2106080571992*p^77*q^878+13395597134426*p^75*q^880+41725407922814*p^73*q^882+ 39608021090007*p^71*q^884+11489197889592*p^69*q^886+1603568357220*p^67*q^888+ 166617453472*p^65*q^890+14786231607*p^63*q^892+1201548350*p^61*q^894+91188112*p ^59*q^896+4381106*p^57*q^898+425620*p^55*q^900+9692*p^53*q^902+4*p^51*q^904+ 3354*p^92*q^862+9534*p^90*q^864+1454304*p^88*q^866+27841774*p^86*q^868+ 517929832*p^84*q^870+6330519928*p^82*q^872+71895904544*p^80*q^874+689980370569* p^78*q^876+5366163525198*p^76*q^878+25859055028459*p^74*q^880+47823810807524*p^ 72*q^882+24836076136476*p^70*q^884+4774683048736*p^68*q^886+558412818117*p^66*q ^888+53876454210*p^64*q^890+4559621970*p^62*q^892+320907572*p^60*q^894+29752226 *p^58*q^896+577808*p^56*q^898+183008*p^54*q^900+44*p^52*q^902+136*p^93*q^860+ 550*p^91*q^862+120458*p^89*q^864+6891900*p^87*q^866+111638688*p^85*q^868+ 1699506590*p^83*q^870+20634737788*p^81*q^872+214823228560*p^79*q^874+ 1889687710299*p^77*q^876+12325835282232*p^75*q^878+40056386504266*p^73*q^880+ 40784828210300*p^71*q^882+12400564468652*p^69*q^884+1783571269956*p^67*q^886+ 186830432580*p^65*q^888+16770848634*p^63*q^890+1374374190*p^61*q^892+98891750*p ^59*q^894+6000484*p^57*q^896+202882*p^55*q^898+18380*p^53*q^900+3252*p^92*q^860 +11664*p^90*q^862+1270298*p^88*q^864+25176890*p^86*q^866+447789654*p^84*q^868+ 5600729780*p^82*q^870+63731454522*p^80*q^872+618156067950*p^78*q^874+ 4845968582475*p^76*q^876+24259592098990*p^74*q^878+47339474527887*p^72*q^880+ 26301608021594*p^70*q^882+5229538963263*p^68*q^884+624252751870*p^66*q^886+ 60483271211*p^64*q^888+5124233706*p^62*q^890+373355510*p^60*q^892+33866014*p^58 *q^894+736444*p^56*q^896+226148*p^54*q^898+608*p^52*q^900+32*p^93*q^858+7510*p^ 91*q^860+65254*p^89*q^862+5578924*p^87*q^864+93418904*p^85*q^866+1517716734*p^ 83*q^868+18207307162*p^81*q^870+191181670633*p^79*q^872+1700679359746*p^77*q^ 874+11272795705738*p^75*q^876+38569321130796*p^73*q^878+41659328632903*p^71*q^ 880+13409484140166*p^69*q^882+1971695362154*p^67*q^884+209419506182*p^65*q^886+ 18923634644*p^63*q^888+1564419368*p^61*q^890+103600532*p^59*q^892+7773278*p^57* q^894+123294*p^55*q^896+31556*p^53*q^898+1356*p^92*q^858+2942*p^90*q^860+861908 *p^88*q^862+23161256*p^86*q^864+388408528*p^84*q^866+4940004568*p^82*q^868+ 56949150770*p^80*q^870+552348848517*p^78*q^872+4398946875024*p^76*q^874+ 22590879329954*p^74*q^876+46947149981124*p^72*q^878+27613317978383*p^70*q^880+ 5742916741234*p^68*q^882+694737154802*p^66*q^884+68148574360*p^64*q^886+ 5759339962*p^62*q^888+435902492*p^60*q^890+37628662*p^58*q^892+1216548*p^56*q^ 894+151124*p^54*q^896+2200*p^52*q^898+15592*p^91*q^858+75932*p^89*q^860+5354366 *p^87*q^862+83192122*p^85*q^864+1360951894*p^83*q^866+16171085036*p^81*q^868+ 170655173204*p^79*q^870+1524523296067*p^77*q^872+10341764549220*p^75*q^874+ 36782297017535*p^73*q^876+42626986509530*p^71*q^878+14414878064701*p^69*q^880+ 2189949428388*p^67*q^882+234650102230*p^65*q^884+21511200762*p^63*q^886+ 1789311900*p^61*q^888+114702200*p^59*q^890+10486486*p^57*q^892+101624*p^55*q^ 894+70152*p^53*q^896+12*p^51*q^898+852*p^92*q^856+11616*p^90*q^858+539884*p^88* q^860+19458362*p^86*q^862+324676052*p^84*q^864+4363154734*p^82*q^866+ 50361021278*p^80*q^868+493952468606*p^78*q^870+3965540679501*p^76*q^872+ 21099483727740*p^74*q^874+46154857749705*p^72*q^876+29084231191808*p^70*q^878+ 6274284239627*p^68*q^880+775196190510*p^66*q^882+76379821031*p^64*q^884+ 6495649008*p^62*q^886+502525976*p^60*q^888+39644480*p^58*q^890+1495784*p^56*q^ 892+75192*p^54*q^894+2348*p^52*q^896+8*p^93*q^854+9736*p^91*q^856+38614*p^89*q^ 858+4308896*p^87*q^860+73842128*p^85*q^862+1203836836*p^83*q^864+14295422556*p^ 81*q^866+151897325621*p^79*q^868+1371344161700*p^77*q^870+9432656591790*p^75*q^ 872+35217901158960*p^73*q^874+43227165020530*p^71*q^876+15523702810474*p^69*q^ 878+2415464380229*p^67*q^880+262779635302*p^65*q^882+24228897960*p^63*q^884+ 1995860834*p^61*q^886+129375148*p^59*q^888+12635816*p^57*q^890+194604*p^55*q^ 892+72792*p^53*q^894+160*p^51*q^896+48*p^92*q^854+41320*p^90*q^856+404774*p^88* q^858+18305460*p^86*q^860+279359908*p^84*q^862+3906257012*p^82*q^864+ 44920495126*p^80*q^866+441232654228*p^78*q^868+3591404927634*p^76*q^870+ 19563839063492*p^74*q^872+45478408788944*p^72*q^874+30356779491238*p^70*q^876+ 6872465136798*p^68*q^878+862442424998*p^66*q^880+86118053512*p^64*q^882+ 7362455144*p^62*q^884+597117664*p^60*q^886+41038782*p^58*q^888+2356010*p^56*q^ 890+24008*p^54*q^892+12056*p^52*q^894+8372*p^91*q^854+30816*p^89*q^856+3322630* p^87*q^858+64042699*p^85*q^860+1058621508*p^83*q^862+12594489872*p^81*q^864+ 135554411490*p^79*q^866+1227915440534*p^77*q^868+8627266978390*p^75*q^870+ 33406057813160*p^73*q^872+43949431226160*p^71*q^874+16604295653002*p^69*q^876+ 2676717954878*p^67*q^878+293718742616*p^65*q^880+27386150806*p^63*q^882+ 2239627830*p^61*q^884+147377570*p^59*q^886+14991968*p^57*q^888+245126*p^55*q^ 890+54192*p^53*q^892+40*p^51*q^894+188*p^92*q^852+44080*p^90*q^854+319716*p^88* q^856+16345466*p^86*q^858+244129955*p^84*q^860+3473459982*p^82*q^862+ 39853508112*p^80*q^864+394585562048*p^78*q^866+3233585379424*p^76*q^868+ 18189528969276*p^74*q^870+44415111928210*p^72*q^872+31793845221180*p^70*q^874+ 7481616150627*p^68*q^876+961655351946*p^66*q^878+96572782590*p^64*q^880+ 8375042796*p^62*q^882+684343925*p^60*q^884+43112638*p^58*q^886+3227760*p^56*q^ 888+21676*p^54*q^890+19884*p^52*q^892+4*p^50*q^894+2108*p^91*q^852+73328*p^89*q ^854+2234592*p^87*q^856+56902232*p^85*q^858+904785606*p^83*q^860+11140123678*p^ 81*q^862+120375830725*p^79*q^864+1102921301162*p^77*q^866+7847610229172*p^75*q^ 868+31789590145164*p^73*q^870+44291197105418*p^71*q^872+17805448596614*p^69*q^ 874+2947101360691*p^67*q^876+328703002956*p^65*q^878+30778913415*p^63*q^880+ 2500047466*p^61*q^882+175582128*p^59*q^884+15960624*p^57*q^886+352076*p^55*q^ 888+20368*p^53*q^890+992*p^51*q^892+32*p^92*q^850+45526*p^90*q^852+195842*p^88* q^854+14372444*p^86*q^856+211556130*p^84*q^858+3123173122*p^82*q^860+ 35461005340*p^80*q^862+352400000211*p^78*q^864+2925291574570*p^76*q^866+ 16802434980860*p^74*q^868+43470490892990*p^72*q^870+32990387780603*p^70*q^872+ 8169251025740*p^68*q^874+1067173575340*p^66*q^876+108608571874*p^64*q^878+ 9507303694*p^62*q^880+778808586*p^60*q^882+44019552*p^58*q^884+4492754*p^56*q^ 886+41314*p^54*q^888+23204*p^52*q^890+1932*p^91*q^850+123028*p^89*q^852+1862290 *p^87*q^854+52653006*p^85*q^856+795033580*p^83*q^858+9869961648*p^81*q^860+ 107517480452*p^79*q^862+987093133289*p^77*q^864+7159789638702*p^75*q^866+ 29992293635112*p^73*q^868+44704988632672*p^71*q^870+18960398342798*p^69*q^872+ 3259045551978*p^67*q^874+367261231506*p^65*q^876+34841203778*p^63*q^878+ 2823006216*p^61*q^880+213926548*p^59*q^882+17787284*p^57*q^884+598662*p^55*q^ 886+2624*p^53*q^888+3144*p^51*q^890+25592*p^90*q^850+187028*p^88*q^852+11121698 *p^86*q^854+180764913*p^84*q^856+2742362934*p^82*q^858+31323897660*p^80*q^860+ 314593047658*p^78*q^862+2628622004996*p^76*q^864+15559862163388*p^74*q^866+ 42186436589912*p^72*q^868+34336782474926*p^70*q^870+8865588938452*p^68*q^872+ 1188453071792*p^66*q^874+121663438718*p^64*q^876+10758198574*p^62*q^878+ 871015954*p^60*q^880+48157210*p^58*q^882+5207996*p^56*q^884+33236*p^54*q^886+ 16048*p^52*q^888+20*p^50*q^890+912*p^91*q^848+156542*p^89*q^850+1269042*p^87*q^ 852+47848110*p^85*q^854+688717911*p^83*q^856+8794475034*p^81*q^858+95559554664* p^79*q^860+886487104518*p^77*q^862+6497315479716*p^75*q^864+28399732898586*p^73 *q^866+44754778246622*p^71*q^868+20226601721774*p^69*q^870+3580029646728*p^67*q ^872+410482441146*p^65*q^874+39055365638*p^63*q^876+3195943486*p^61*q^878+ 251738918*p^59*q^880+16836428*p^57*q^882+965806*p^55*q^884+5860*p^53*q^886+5148 *p^51*q^888+13978*p^90*q^848+255958*p^88*q^850+8820991*p^86*q^852+162280572*p^ 84*q^854+2422716623*p^82*q^856+27824927130*p^80*q^858+280832559868*p^78*q^860+ 2373880590422*p^76*q^862+14317143139177*p^74*q^864+41025654275694*p^72*q^866+ 35417936400400*p^70*q^868+9643597911454*p^68*q^870+1317752904652*p^66*q^872+ 136798917246*p^64*q^874+12224803473*p^62*q^876+973608514*p^60*q^878+57665738*p^ 58*q^880+6685556*p^56*q^882+77828*p^54*q^884+2356*p^52*q^886+292*p^50*q^888+120 *p^91*q^846+148156*p^89*q^848+997850*p^87*q^850+43086518*p^85*q^852+595724866*p ^83*q^854+7842531342*p^81*q^856+85311231244*p^79*q^858+792521127773*p^77*q^860+ 5915996515242*p^75*q^862+26647292089944*p^73*q^864+44889144637404*p^71*q^866+ 21430230223806*p^69*q^868+3949271751168*p^67*q^870+457838765709*p^65*q^872+ 44094740042*p^63*q^874+3625128006*p^61*q^876+295517498*p^59*q^878+16195698*p^57 *q^880+1301170*p^55*q^882+3064*p^53*q^884+7400*p^51*q^886+16*p^92*q^844+11354*p ^90*q^846+379564*p^88*q^848+6851028*p^86*q^850+144145760*p^84*q^852+2127889066* p^82*q^854+24570293830*p^80*q^856+250591592922*p^78*q^858+2131443935043*p^76*q^ 860+13209603980090*p^74*q^862+39553009986498*p^72*q^864+36633576617854*p^70*q^ 866+10428637423710*p^68*q^868+1464975461306*p^66*q^870+153134697972*p^64*q^872+ 13831420632*p^62*q^874+1084685522*p^60*q^876+70037966*p^58*q^878+7286378*p^56*q ^880+139824*p^54*q^882+474*p^52*q^884+512*p^50*q^886+72*p^91*q^844+86598*p^89*q ^846+752982*p^87*q^848+35329628*p^85*q^850+512955764*p^83*q^852+6953242632*p^81 *q^854+75699099158*p^79*q^856+711027381550*p^77*q^858+5356197748898*p^75*q^860+ 25108206640414*p^73*q^862+44622066854290*p^71*q^864+22757522463504*p^69*q^866+ 4327594097579*p^67*q^868+511121657146*p^65*q^870+49462169074*p^63*q^872+ 4119088782*p^61*q^874+334685504*p^59*q^876+16013234*p^57*q^878+1774506*p^55*q^ 880+6172*p^53*q^882+2200*p^51*q^884+12*p^49*q^886+2992*p^90*q^844+497940*p^88*q ^846+5339964*p^86*q^848+134517356*p^84*q^850+1872262639*p^82*q^852+21910724328* p^80*q^854+223675035999*p^78*q^856+1922886861966*p^76*q^858+12115626319707*p^74 *q^860+38232968698482*p^72*q^862+37537686327129*p^70*q^864+11300145916080*p^68* q^866+1621068386292*p^66*q^868+172054561304*p^64*q^870+15606481686*p^62*q^872+ 1216078348*p^60*q^874+87869982*p^58*q^876+7102288*p^56*q^878+249416*p^54*q^880+ 496*p^52*q^882+1840*p^50*q^884+264*p^91*q^842+79468*p^89*q^844+897674*p^87*q^ 846+29887958*p^85*q^848+449100042*p^83*q^850+6185828687*p^81*q^852+67418489978* p^79*q^854+635468882858*p^77*q^856+4864352458004*p^75*q^858+23448547113476*p^73 *q^860+44457240470340*p^71*q^862+23978191526788*p^69*q^864+4763994252236*p^67*q ^866+569853227855*p^65*q^868+55813111178*p^63*q^870+4724136584*p^61*q^872+ 381691378*p^59*q^874+17370972*p^57*q^876+2531360*p^55*q^878+13160*p^53*q^880+12 *p^51*q^882+16*p^49*q^884+1714*p^90*q^842+398518*p^88*q^844+3848108*p^86*q^846+ 119201242*p^84*q^848+1623042894*p^82*q^850+19379559825*p^80*q^852+199625507588* p^78*q^854+1724112074881*p^76*q^856+11142474035194*p^74*q^858+36638088653471*p^ 72*q^860+38589562859514*p^70*q^862+12167706021830*p^68*q^864+1798821734962*p^66 *q^866+192053162953*p^64*q^868+17595127940*p^62*q^870+1353067218*p^60*q^872+ 104173692*p^58*q^874+6629070*p^56*q^876+318804*p^54*q^878+200*p^52*q^880+1192*p ^50*q^882+68*p^91*q^840+36394*p^89*q^842+1188856*p^87*q^844+23861602*p^85*q^846 +396734308*p^83*q^848+5479737316*p^81*q^850+59832433558*p^79*q^852+569369565008 *p^77*q^854+4397852575319*p^75*q^856+21976477157268*p^73*q^858+43905139059917*p ^71*q^860+25325233654282*p^69*q^862+5206035529411*p^67*q^864+635856718930*p^65* q^866+62695739726*p^63*q^868+5377738644*p^61*q^870+424287341*p^59*q^872+ 21741780*p^57*q^874+2767578*p^55*q^876+33202*p^53*q^878+64*p^51*q^880+216*p^49* q^882+2060*p^90*q^840+371216*p^88*q^842+3137598*p^86*q^844+105806280*p^84*q^846 +1416851546*p^82*q^848+17300976540*p^80*q^850+177884401542*p^78*q^852+ 1554079043036*p^76*q^854+10187228673975*p^74*q^856+35202330850108*p^72*q^858+ 39293049043666*p^70*q^860+13136891475526*p^68*q^862+1986833834348*p^66*q^864+ 215396619264*p^64*q^866+19808147864*p^62*q^868+1544164172*p^60*q^870+124638938* p^58*q^872+5474900*p^56*q^874+601554*p^54*q^876+860*p^52*q^878+20928*p^89*q^840 +1262632*p^87*q^842+19276694*p^85*q^844+359808658*p^83*q^846+4854722886*p^81*q^ 848+53245445328*p^79*q^850+508895587633*p^77*q^852+3986709470464*p^75*q^854+ 20439274297650*p^73*q^856+43431198095278*p^71*q^858+26538781855473*p^69*q^860+ 5712588973718*p^67*q^862+707458033244*p^65*q^864+70717832396*p^63*q^866+ 6121002746*p^61*q^868+467019532*p^59*q^870+27558054*p^57*q^872+3158028*p^55*q^ 874+44990*p^53*q^876+368*p^49*q^880+4*p^94*q^834+1684*p^90*q^838+258978*p^88*q^ 840+3218178*p^86*q^842+89848070*p^84*q^844+1228006486*p^82*q^846+15323406096*p^ 80*q^848+158746336464*p^78*q^850+1391708170751*p^76*q^852+9339369235080*p^74*q^ 854+33535800710789*p^72*q^856+40120072488946*p^70*q^858+14088578102313*p^68*q^ 860+2202063983578*p^66*q^862+240627179340*p^64*q^864+22329104958*p^62*q^866+ 1758200386*p^60*q^868+146632136*p^58*q^870+5311476*p^56*q^872+766310*p^54*q^874 +2380*p^52*q^876+4*p^50*q^878+8*p^48*q^880+14322*p^89*q^838+1262418*p^87*q^840+ 14154784*p^85*q^842+322770647*p^83*q^844+4261784868*p^81*q^846+47223006633*p^79 *q^848+455548689932*p^77*q^850+3596599577469*p^75*q^852+19075343302530*p^73*q^ 854+42622417532557*p^71*q^856+27868314975294*p^69*q^858+6224235544804*p^67*q^ 860+788116304622*p^65*q^862+79155491935*p^63*q^864+6916102356*p^61*q^866+ 512632492*p^59*q^868+33704912*p^57*q^870+2644358*p^55*q^872+90908*p^53*q^874+32 *p^51*q^876+184*p^90*q^836+158232*p^88*q^838+3245686*p^86*q^840+77496218*p^84*q ^842+1079490729*p^82*q^844+13695630712*p^80*q^846+141500165696*p^78*q^848+ 1253448698066*p^76*q^850+8515940854133*p^74*q^852+32036763612218*p^72*q^854+ 40588401596036*p^70*q^856+15137475832270*p^68*q^858+2427826559209*p^66*q^860+ 269620121076*p^64*q^862+25201685822*p^62*q^864+2032163296*p^60*q^866+165304457* p^58*q^868+6322762*p^56*q^870+1114514*p^54*q^872+5964*p^52*q^874+60*p^48*q^878+ 60*p^93*q^832+15928*p^89*q^836+1174094*p^87*q^838+12572502*p^85*q^840+290376932 *p^83*q^842+3753388311*p^81*q^844+42078527526*p^79*q^846+406617012057*p^77*q^ 848+3256145517992*p^75*q^850+17656111018770*p^73*q^852+41892261065882*p^71*q^ 854+29040483146028*p^69*q^856+6809411117370*p^67*q^858+875721413491*p^65*q^860+ 89198682288*p^63*q^862+7831379842*p^61*q^864+571756692*p^59*q^866+43981532*p^57 *q^868+2161142*p^55*q^870+144736*p^53*q^872+60*p^51*q^874+112*p^90*q^834+109110 *p^88*q^836+3430900*p^86*q^838+61194266*p^84*q^840+952297596*p^82*q^842+ 12111736694*p^80*q^844+125978891660*p^78*q^846+1122013544052*p^76*q^848+ 7784805775962*p^74*q^850+30344450884478*p^72*q^852+41174513416750*p^70*q^854+ 16164605049199*p^68*q^856+2684516579578*p^66*q^858+300694389985*p^64*q^860+ 28414563270*p^62*q^862+2318669242*p^60*q^864+182242724*p^58*q^866+7392356*p^56* q^868+1183474*p^54*q^870+8230*p^52*q^872+8*p^93*q^830+16*p^91*q^832+5706*p^89*q ^834+831766*p^87*q^836+10276242*p^85*q^838+256644456*p^83*q^840+3277384356*p^81 *q^842+37329007112*p^79*q^844+364116413144*p^77*q^846+2932965152148*p^75*q^848+ 16416083992730*p^73*q^850+40824386309961*p^71*q^852+30322179126728*p^69*q^854+ 7396122158503*p^67*q^856+974092169844*p^65*q^858+99824783707*p^63*q^860+ 8813917164*p^61*q^862+641350074*p^59*q^864+52797640*p^57*q^866+1759844*p^55*q^ 868+254718*p^53*q^870+552*p^51*q^872+4*p^47*q^876+368*p^92*q^830+93150*p^88*q^ 834+3725320*p^86*q^836+51302558*p^84*q^838+856966888*p^82*q^840+10790926724*p^ 80*q^842+112314612315*p^78*q^844+1009033699776*p^76*q^846+7081305223113*p^74*q^ 848+28831764756584*p^72*q^850+41363914386373*p^70*q^852+17292977945556*p^68*q^ 854+2953551611831*p^66*q^856+336829776400*p^64*q^858+32023621981*p^62*q^860+ 2671167702*p^60*q^862+201130620*p^58*q^864+10407702*p^56*q^866+1099232*p^54*q^ 868+18712*p^52*q^870+2540*p^89*q^832+663272*p^87*q^834+9582054*p^85*q^836+ 223113668*p^83*q^838+2867079743*p^81*q^840+33290360484*p^79*q^842+324717534305* p^77*q^844+2650667164278*p^75*q^846+15138218410027*p^73*q^848+39877199630176*p^ 71*q^850+31397887442510*p^69*q^852+8064070429306*p^67*q^854+1081202463171*p^65* q^856+112180855658*p^63*q^858+9961853277*p^61*q^860+737683232*p^59*q^862+ 61951644*p^57*q^864+1541322*p^55*q^866+376088*p^53*q^868+588*p^51*q^870+216*p^ 92*q^828+264*p^90*q^830+66558*p^88*q^832+3200318*p^86*q^834+42114039*p^84*q^836 +764823088*p^82*q^838+9525451161*p^80*q^840+100004932482*p^78*q^842+ 902610549662*p^76*q^844+6457033317192*p^74*q^846+27166981988651*p^72*q^848+ 41688272619496*p^70*q^850+18367855526334*p^68*q^852+3259899944324*p^66*q^854+ 374988726173*p^64*q^856+36152651332*p^62*q^858+3027291074*p^60*q^860+215122934* p^58*q^862+13868847*p^56*q^864+917790*p^54*q^866+34830*p^52*q^868+16*p^50*q^870 +1188*p^91*q^828+478*p^89*q^830+467248*p^87*q^832+9914374*p^85*q^834+186952226* p^83*q^836+2517823144*p^81*q^838+29561531571*p^79*q^840+290467340792*p^77*q^842 +2384831690345*p^75*q^844+14013097680202*p^73*q^846+38619396076925*p^71*q^848+ 32594290925268*p^69*q^850+8728394821088*p^67*q^852+1201225703586*p^65*q^854+ 125524134649*p^63*q^856+11212711588*p^61*q^858+847136970*p^59*q^860+71318878*p^ 57*q^862+1892284*p^55*q^864+395820*p^53*q^866+1516*p^51*q^868+12*p^92*q^826+48* p^90*q^828+31580*p^88*q^830+2836660*p^86*q^832+33982948*p^84*q^834+689743834*p^ 82*q^836+8428155010*p^80*q^838+88994650022*p^78*q^840+811224819126*p^76*q^842+ 5860219115453*p^74*q^844+25673893082620*p^72*q^846+41612739134445*p^70*q^848+ 19558069236536*p^68*q^850+3575936883682*p^66*q^852+419330418862*p^64*q^854+ 40688641071*p^62*q^856+3445692204*p^60*q^858+236290294*p^58*q^860+17573598*p^56 *q^862+542918*p^54*q^864+83992*p^52*q^866+64*p^50*q^868+1860*p^91*q^826+2016*p^ 89*q^828+429032*p^87*q^830+9761990*p^85*q^832+162647130*p^83*q^834+2234584879*p ^81*q^836+26380435168*p^79*q^838+259274588556*p^77*q^840+2153131580958*p^75*q^ 842+12879686068083*p^73*q^844+37468299465544*p^71*q^846+33543457091647*p^69*q^ 848+9483401154538*p^67*q^850+1330867635638*p^65*q^852+141068725952*p^63*q^854+ 12683048741*p^61*q^856+990154212*p^59*q^858+79400616*p^57*q^860+2903262*p^55*q^ 862+471528*p^53*q^864+2490*p^51*q^866+8*p^92*q^824+2164*p^90*q^826+13600*p^88*q ^828+2172168*p^86*q^830+30194556*p^84*q^832+601306466*p^82*q^834+7381537714*p^ 80*q^836+79219362186*p^78*q^838+724475099242*p^76*q^840+5330381750202*p^74*q^ 842+24070661692169*p^72*q^844+41640903679150*p^70*q^846+20678585371561*p^68*q^ 848+3937718110156*p^66*q^850+466650473676*p^64*q^852+45823392036*p^62*q^854+ 3881829312*p^60*q^856+261369676*p^58*q^858+21771220*p^56*q^860+365372*p^54*q^ 862+89848*p^52*q^864+60*p^50*q^866+448*p^91*q^824+1328*p^89*q^826+269770*p^87*q ^828+9144452*p^85*q^830+131507725*p^83*q^832+1990138210*p^81*q^834+23405507485* p^79*q^836+231709252078*p^77*q^838+1934911407934*p^75*q^840+11885206076308*p^73 *q^842+36068556307225*p^71*q^844+34596264916492*p^69*q^846+10225340635127*p^67* q^848+1476740388564*p^65*q^850+157361251460*p^63*q^852+14307646044*p^61*q^854+ 1134727140*p^59*q^856+84258744*p^57*q^858+3849048*p^55*q^860+325254*p^53*q^862+ 12580*p^51*q^864+4*p^49*q^866+7572*p^90*q^824+10836*p^88*q^826+1912248*p^86*q^ 828+28216580*p^84*q^830+535840493*p^82*q^832+6525785356*p^80*q^834+70627498688* p^78*q^836+650824257816*p^76*q^838+4827752782447*p^74*q^840+22636165851492*p^72 *q^842+41293521827213*p^70*q^844+21892388934064*p^68*q^846+4310775542772*p^66*q ^848+521033443136*p^64*q^850+51600065027*p^62*q^852+4396872628*p^60*q^854+ 300872175*p^58*q^856+26683666*p^56*q^858+481796*p^54*q^860+153092*p^52*q^862+72 *p^50*q^864+224*p^91*q^822+2340*p^89*q^824+158606*p^87*q^826+8207140*p^85*q^828 +111018102*p^83*q^830+1768855418*p^81*q^832+20827730948*p^79*q^834+206414389037 *p^77*q^836+1744531652864*p^75*q^838+10884521432159*p^73*q^840+34790300108550*p ^71*q^842+35381410142466*p^69*q^844+11066921806754*p^67*q^846+1633079032106*p^ 65*q^848+176744000258*p^63*q^850+16189008192*p^61*q^852+1311271428*p^59*q^854+ 89928001*p^57*q^856+5414842*p^55*q^858+180108*p^53*q^860+14738*p^51*q^862+4886* p^90*q^822+14456*p^88*q^824+1571012*p^86*q^826+26577566*p^84*q^828+460292842*p^ 82*q^830+5749481615*p^80*q^832+62862523518*p^78*q^834+581365059640*p^76*q^836+ 4383299745620*p^74*q^838+21117301833149*p^72*q^840+41050830496372*p^70*q^842+ 23025553257882*p^68*q^844+4731589949908*p^66*q^846+579273482584*p^64*q^848+ 57969162272*p^62*q^850+4935026908*p^60*q^852+347552236*p^58*q^854+30450586*p^56 *q^856+642436*p^54*q^858+155410*p^52*q^860+1016*p^50*q^862+36*p^91*q^820+16556* p^89*q^822+76644*p^87*q^824+6941006*p^85*q^826+92632206*p^83*q^828+1579880278*p ^81*q^830+18377242680*p^79*q^832+184476534510*p^77*q^834+1565539126658*p^75*q^ 836+10010684471248*p^73*q^838+33282459556372*p^71*q^840+36270123147166*p^69*q^ 842+11886608958030*p^67*q^844+1809269603580*p^65*q^846+197116305482*p^63*q^848+ 18319729182*p^61*q^850+1490513256*p^59*q^852+95058518*p^57*q^854+6979920*p^55*q ^856+93090*p^53*q^858+27900*p^51*q^860+2560*p^90*q^820+5016*p^88*q^822+1108826* p^86*q^824+25205504*p^84*q^826+396116356*p^82*q^828+5089977044*p^80*q^830+ 56087690008*p^78*q^832+521771084298*p^76*q^834+3963169856809*p^74*q^836+ 19773769752484*p^72*q^838+40422484672592*p^70*q^840+24252065213192*p^68*q^842+ 5164480716506*p^66*q^844+645849955946*p^64*q^846+65068139849*p^62*q^848+ 5563744450*p^60*q^850+408253468*p^58*q^852+33671168*p^56*q^854+1056342*p^54*q^ 856+112772*p^52*q^858+2288*p^50*q^860+23536*p^89*q^820+94800*p^87*q^822+6497166 *p^85*q^824+83489612*p^83*q^826+1410845535*p^81*q^828+16345983630*p^79*q^830+ 164327019437*p^77*q^832+1409841714052*p^75*q^834+9142078732904*p^73*q^836+ 31909469736246*p^71*q^838+36844514234055*p^69*q^840+12811777988190*p^67*q^842+ 1997301430659*p^65*q^844+221172522800*p^63*q^846+20739473847*p^61*q^848+ 1711263420*p^59*q^850+105012074*p^57*q^852+9195594*p^55*q^854+88592*p^53*q^856+ 47348*p^51*q^858+28*p^49*q^860+1084*p^90*q^818+22016*p^88*q^820+645896*p^86*q^ 822+22167400*p^84*q^824+329467076*p^82*q^826+4487481274*p^80*q^828+49823119422* p^78*q^830+465572226495*p^76*q^832+3591698800086*p^74*q^834+18365794735269*p^72 *q^836+39933430544350*p^70*q^838+25354823935940*p^68*q^840+5655482423848*p^66*q ^842+717056337265*p^64*q^844+73013566156*p^62*q^846+6279742354*p^60*q^848+ 471749226*p^58*q^850+35124555*p^56*q^852+1420954*p^54*q^854+57690*p^52*q^856+ 2368*p^50*q^858+16*p^91*q^816+17168*p^89*q^818+50128*p^87*q^820+5337914*p^85*q^ 822+75341894*p^83*q^824+1245104722*p^81*q^826+14438659362*p^79*q^828+ 146873483588*p^77*q^830+1264602027387*p^75*q^832+8381383072512*p^73*q^834+ 30356216284032*p^71*q^836+37520964905922*p^69*q^838+13700471542393*p^67*q^840+ 2208113661270*p^65*q^842+246274273789*p^63*q^844+23430128198*p^61*q^846+ 1906068421*p^59*q^848+119136298*p^57*q^850+11199680*p^55*q^852+148814*p^53*q^ 854+44424*p^51*q^856+278*p^49*q^858+80*p^90*q^816+58650*p^88*q^818+508602*p^86* q^820+21028716*p^84*q^822+281417508*p^82*q^824+4024873058*p^80*q^826+ 44351166306*p^78*q^828+417544215598*p^76*q^830+3242064982516*p^74*q^832+ 17118722967144*p^72*q^834+39069274469960*p^70*q^836+26564263912824*p^68*q^838+ 6152080268472*p^66*q^840+798988620166*p^64*q^842+81968889385*p^62*q^844+ 7131919828*p^60*q^846+559757616*p^58*q^848+36504190*p^56*q^850+2050678*p^54*q^ 852+15564*p^52*q^854+8992*p^50*q^856+11902*p^89*q^816+40706*p^87*q^818+3991622* p^85*q^820+67225374*p^83*q^822+1090733313*p^81*q^824+12753208562*p^79*q^826+ 130859595611*p^77*q^828+1137739359626*p^75*q^830+7635001206152*p^73*q^832+ 28935896659102*p^71*q^834+37867809803921*p^69*q^836+14699818542264*p^67*q^838+ 2432182889501*p^65*q^840+275810921100*p^63*q^842+26377294783*p^61*q^844+ 2151919366*p^59*q^846+136742592*p^57*q^848+12795090*p^55*q^850+245912*p^53*q^ 852+39224*p^51*q^854+48*p^49*q^856+348*p^90*q^814+68524*p^88*q^816+396390*p^86* q^818+19255572*p^84*q^820+246595498*p^82*q^822+3569367660*p^80*q^824+ 39512578308*p^78*q^826+372447397423*p^76*q^828+2933137241176*p^74*q^830+ 15838556040480*p^72*q^832+38324866181086*p^70*q^834+27615374845587*p^68*q^836+ 6717100833044*p^66*q^838+885920062858*p^64*q^840+91990826088*p^62*q^842+ 8107670964*p^60*q^844+644991178*p^58*q^846+38277084*p^56*q^848+2955856*p^54*q^ 850+13660*p^52*q^852+10052*p^50*q^854+16*p^48*q^856+2860*p^89*q^814+91934*p^87* q^816+2720528*p^85*q^818+61061242*p^83*q^820+925374110*p^81*q^822+11268425505*p ^79*q^824+116630609666*p^77*q^826+1018905881261*p^75*q^828+6981462143428*p^73*q ^830+27378104469959*p^71*q^832+38308317828054*p^69*q^834+15649424146884*p^67*q^ 836+2683969504906*p^65*q^838+307012529474*p^63*q^840+29690835618*p^61*q^842+ 2398823623*p^59*q^844+161709094*p^57*q^846+13639018*p^55*q^848+314056*p^53*q^ 850+9912*p^51*q^852+964*p^49*q^854+32*p^90*q^812+67978*p^88*q^814+233792*p^86*q ^816+16911624*p^84*q^818+213994097*p^82*q^820+3218444980*p^80*q^822+35113794688 *p^78*q^824+334221978338*p^76*q^826+2644496919545*p^74*q^828+14706037861092*p^ 72*q^830+37269146640359*p^70*q^832+28746742519256*p^68*q^834+7283521642129*p^66 *q^836+985344382318*p^64*q^838+102930081923*p^62*q^840+9231876860*p^60*q^842+ 734691398*p^58*q^844+40337674*p^56*q^846+3799907*p^54*q^848+37040*p^52*q^850+ 15574*p^50*q^852+3416*p^89*q^812+161310*p^87*q^814+2280226*p^85*q^816+58026906* p^83*q^818+810916124*p^81*q^820+10003469408*p^79*q^822+103991141214*p^77*q^824+ 916009583718*p^75*q^826+6342158074460*p^73*q^828+25957218116276*p^71*q^830+ 38404074230453*p^69*q^832+16711214120096*p^67*q^834+2949866772873*p^65*q^836+ 343645175448*p^63*q^838+33520780992*p^61*q^840+2721252206*p^59*q^842+197597884* p^57*q^844+14940248*p^55*q^846+584318*p^53*q^848+972*p^51*q^850+1384*p^49*q^852 +34052*p^88*q^812+215374*p^86*q^814+12978630*p^84*q^816+185323236*p^82*q^818+ 2807730404*p^80*q^820+31115630122*p^78*q^822+297608342169*p^76*q^824+ 2388725096984*p^74*q^826+13549025701733*p^72*q^828+36332847396436*p^70*q^830+ 29716342667128*p^68*q^832+7922720057200*p^66*q^834+1090919595290*p^64*q^836+ 115428722540*p^62*q^838+10403994169*p^60*q^840+823843926*p^58*q^842+43557656*p^ 56*q^844+4336668*p^54*q^846+34048*p^52*q^848+7440*p^50*q^850+40*p^48*q^852+1216 *p^89*q^810+227664*p^87*q^812+1494524*p^85*q^814+53909950*p^83*q^816+699765584* p^81*q^818+8911290172*p^79*q^820+92833141902*p^77*q^822+820531700516*p^75*q^824 +5787087671826*p^73*q^826+24430398074473*p^71*q^828+38595105621830*p^69*q^830+ 17705308779154*p^67*q^832+3246877342068*p^65*q^834+382038137413*p^63*q^836+ 37610079644*p^61*q^838+3091672096*p^59*q^840+232785954*p^57*q^842+14597108*p^55 *q^844+881348*p^53*q^846+4020*p^51*q^848+3302*p^49*q^850+23000*p^88*q^810+ 278110*p^86*q^812+10575688*p^84*q^814+168512726*p^82*q^816+2482388432*p^80*q^ 818+27590462793*p^78*q^820+266752247948*p^76*q^822+2149764632579*p^74*q^824+ 12536117061792*p^72*q^826+35087221347572*p^70*q^828+30755316397076*p^68*q^830+ 8562015655402*p^66*q^832+1212183079694*p^64*q^834+129141052689*p^62*q^836+ 11870706398*p^60*q^838+920284988*p^58*q^840+52922944*p^56*q^842+5342716*p^54*q^ 844+78770*p^52*q^846+436*p^50*q^848+136*p^48*q^850+104*p^89*q^808+196844*p^87*q ^810+1164524*p^85*q^812+48164368*p^83*q^814+603516972*p^81*q^816+7957777718*p^ 79*q^818+82714208532*p^77*q^820+736698519230*p^75*q^822+5248072634158*p^73*q^ 824+23047961010146*p^71*q^826+38430598845981*p^69*q^828+18812290201746*p^67*q^ 830+3560186738825*p^65*q^832+426650705472*p^63*q^834+42274564198*p^61*q^836+ 3508031750*p^59*q^838+273785610*p^57*q^840+13883442*p^55*q^842+1099302*p^53*q^ 844+3872*p^51*q^846+3380*p^49*q^848+16*p^90*q^806+15896*p^88*q^808+484716*p^86* q^810+7975638*p^84*q^812+153976506*p^82*q^814+2170496867*p^80*q^816+24462863624 *p^78*q^818+237515349895*p^76*q^820+1939891016600*p^74*q^822+11509626886156*p^ 72*q^824+34000621270864*p^70*q^826+31570450742150*p^68*q^828+9282274474104*p^66 *q^830+1339832285027*p^64*q^832+144798967016*p^62*q^834+13398187189*p^60*q^836+ 1036289968*p^58*q^838+63671232*p^56*q^840+5940536*p^54*q^842+154462*p^52*q^844+ 240*p^50*q^846+322*p^48*q^848+96*p^89*q^806+127386*p^87*q^808+815014*p^85*q^810 +40670458*p^83*q^812+520303314*p^81*q^814+7042950737*p^79*q^816+73678696940*p^ 77*q^818+659318052307*p^75*q^820+4775318237222*p^73*q^822+21589415779326*p^71*q ^824+38372658466074*p^69*q^826+19830861446467*p^67*q^828+3909807477392*p^65*q^ 830+474031931321*p^63*q^832+47445349142*p^61*q^834+3986995772*p^59*q^836+ 308980772*p^57*q^838+14312028*p^55*q^840+1395796*p^53*q^842+6196*p^51*q^844+330 *p^49*q^846+8*p^47*q^848+3496*p^88*q^806+645350*p^86*q^808+6153200*p^84*q^810+ 143846808*p^82*q^812+1903883924*p^80*q^814+21771435002*p^78*q^816+212883454202* p^76*q^818+1744349620725*p^74*q^820+10611934768030*p^72*q^822+32646051825903*p^ 70*q^824+32477986966730*p^68*q^826+9985239918411*p^66*q^828+1485782112178*p^64* q^830+161711040181*p^62*q^832+15158720274*p^60*q^834+1160911886*p^58*q^836+ 80438380*p^56*q^838+5619322*p^54*q^840+227760*p^52*q^842+584*p^50*q^844+888*p^ 48*q^846+304*p^89*q^804+111678*p^87*q^806+966674*p^85*q^808+34093470*p^83*q^810 +461268722*p^81*q^812+6276961426*p^79*q^814+65532620175*p^77*q^816+591847456388 *p^75*q^818+4321688248956*p^73*q^820+20262786392338*p^71*q^822+37953956511985*p ^69*q^824+20963857663384*p^67*q^826+4275366373642*p^65*q^828+529324416686*p^63* q^830+53342684042*p^61*q^832+4584540862*p^59*q^834+354849118*p^57*q^836+ 15739348*p^55*q^838+1974294*p^53*q^840+19220*p^51*q^842+4*p^49*q^844+8*p^47*q^ 846+2420*p^88*q^804+535154*p^86*q^806+4400372*p^84*q^808+130201550*p^82*q^810+ 1642452764*p^80*q^812+19312739574*p^78*q^814+189584182795*p^76*q^816+ 1571424580668*p^74*q^818+9715298571290*p^72*q^820+31430517090860*p^70*q^822+ 33141955269716*p^68*q^824+10783937228542*p^66*q^826+1638948577380*p^64*q^828+ 180909833322*p^62*q^830+17030761419*p^60*q^832+1301983938*p^58*q^834+93991512*p ^56*q^836+5264830*p^54*q^838+279000*p^52*q^840+196*p^50*q^842+132*p^48*q^844+2* p^93*q^798+80*p^89*q^802+46450*p^87*q^804+1411930*p^85*q^806+26963564*p^83*q^ 808+409941978*p^81*q^810+5538107131*p^79*q^812+58367985034*p^77*q^814+ 528844409700*p^75*q^816+3926794665270*p^73*q^818+18892393553604*p^71*q^820+ 37635862126602*p^69*q^822+21979617464255*p^67*q^824+4683535807384*p^65*q^826+ 587245505043*p^63*q^828+59889881296*p^61*q^830+5215341924*p^59*q^832+394669968* p^57*q^834+19825996*p^55*q^836+2118486*p^53*q^838+34216*p^51*q^840+68*p^49*q^ 842+128*p^47*q^844+2492*p^88*q^802+508308*p^86*q^804+3400452*p^84*q^806+ 116777040*p^82*q^808+1436253746*p^80*q^810+17231714689*p^78*q^812+169653286722* p^76*q^814+1412392727123*p^74*q^816+8928615777778*p^72*q^818+30010757180431*p^ 70*q^820+33860634093194*p^68*q^822+11558988251399*p^66*q^824+1814252130802*p^64 *q^826+201797946566*p^62*q^828+19223424740*p^60*q^830+1483976440*p^58*q^832+ 113083272*p^56*q^834+4661134*p^54*q^836+452340*p^52*q^838+1540*p^50*q^840+28822 *p^87*q^802+1567876*p^85*q^804+21774942*p^83*q^806+374963244*p^81*q^808+ 4908136768*p^79*q^810+51828368140*p^77*q^812+474768205854*p^75*q^814+ 3545895703802*p^73*q^816+17657986079884*p^71*q^818+36980396707954*p^69*q^820+ 23100479762824*p^67*q^822+5105916487752*p^65*q^824+654756626354*p^63*q^826+ 67267590283*p^61*q^828+5961612598*p^59*q^830+439416680*p^57*q^832+25054264*p^55 *q^834+2242484*p^53*q^836+54144*p^51*q^838+26*p^47*q^842+34*p^92*q^796+2016*p^ 88*q^800+334974*p^86*q^802+3454860*p^84*q^804+98977728*p^82*q^806+1245481196*p^ 80*q^808+15288179822*p^78*q^810+151101860445*p^76*q^812+1270666826976*p^74*q^ 814+8149378528817*p^72*q^816+28726846072216*p^70*q^818+34333422483821*p^68*q^ 820+12427492538200*p^66*q^822+1998350333454*p^64*q^824+225699117722*p^62*q^826+ 21573518672*p^60*q^828+1693982000*p^58*q^830+131370998*p^56*q^832+4620384*p^54* q^834+591826*p^52*q^836+2900*p^50*q^838+4*p^48*q^840+8*p^46*q^842+17662*p^87*q^ 800+1639480*p^85*q^802+15816400*p^83*q^804+342237570*p^81*q^806+4289046783*p^79 *q^808+46174780904*p^77*q^810+423908259665*p^75*q^812+3216312160848*p^73*q^814+ 16389715938469*p^71*q^816+36441551063392*p^69*q^818+24087912693518*p^67*q^820+ 5574588481540*p^65*q^822+725548915372*p^63*q^824+75378789992*p^61*q^826+ 6732256391*p^59*q^828+484848604*p^57*q^830+30284146*p^55*q^832+1969892*p^53*q^ 834+71200*p^51*q^836+56*p^49*q^838+236*p^88*q^798+212230*p^86*q^800+3690352*p^ 84*q^802+85356582*p^82*q^804+1098054698*p^80*q^806+13645216750*p^78*q^808+ 135194314196*p^76*q^810+1140961468174*p^74*q^812+7470223121522*p^72*q^814+ 27267385692731*p^70*q^816+34857318815594*p^68*q^818+13262065676644*p^66*q^820+ 2207948119772*p^64*q^822+251541721298*p^62*q^824+24355863470*p^60*q^826+ 1962229076*p^58*q^828+150267366*p^56*q^830+5911616*p^54*q^832+758862*p^52*q^834 +9420*p^50*q^836+2*p^46*q^840+242*p^91*q^794+19212*p^87*q^798+1494304*p^85*q^ 800+13599574*p^83*q^802+308721772*p^81*q^804+3781557476*p^79*q^806+41037256956* p^77*q^808+379992043214*p^75*q^810+2900651798153*p^73*q^812+15254500659382*p^71 *q^814+35562350240054*p^69*q^816+25176764333500*p^67*q^818+6058753027581*p^65*q ^820+807546352096*p^63*q^822+84498520760*p^61*q^824+7646622570*p^59*q^826+ 540381226*p^57*q^828+38603542*p^55*q^830+1568230*p^53*q^832+114724*p^51*q^834+ 96*p^49*q^836+72*p^88*q^796+136896*p^86*q^798+4106676*p^84*q^800+67316412*p^82* q^802+975818490*p^80*q^804+12083487838*p^78*q^806+120197247772*p^76*q^808+ 1026086566440*p^74*q^810+6799497364990*p^72*q^812+25960443076408*p^70*q^814+ 35099328725178*p^68*q^816+14197414488962*p^66*q^818+2426801464222*p^64*q^820+ 281015827258*p^62*q^822+27366995430*p^60*q^824+2248091466*p^58*q^826+167329290* p^56*q^828+6885944*p^54*q^830+809766*p^52*q^832+10652*p^50*q^834+60*p^91*q^792+ 28*p^89*q^794+7488*p^87*q^796+1074886*p^85*q^798+11095704*p^83*q^800+275195258* p^81*q^802+3291150311*p^79*q^804+36557446214*p^77*q^806+339422631593*p^75*q^808 +2625788533488*p^73*q^810+14105579250372*p^71*q^812+34823532681468*p^69*q^814+ 26091472780796*p^67*q^816+6596263137440*p^65*q^818+893390644247*p^63*q^820+ 94665669876*p^61*q^822+8584797696*p^59*q^824+611269988*p^57*q^826+45759698*p^55 *q^828+1495658*p^53*q^830+171944*p^51*q^832+944*p^49*q^834+936*p^90*q^792+ 110558*p^86*q^796+4547302*p^84*q^798+56019408*p^82*q^800+882112844*p^80*q^802+ 10733917367*p^78*q^804+107512059550*p^76*q^806+920227643243*p^74*q^808+ 6216539573964*p^72*q^810+24512672758315*p^70*q^812+35404163574098*p^68*q^814+ 15077805601361*p^66*q^816+2674964222342*p^64*q^818+313026863680*p^62*q^820+ 30861429482*p^60*q^822+2591984859*p^58*q^824+183761166*p^56*q^826+9398780*p^54* q^828+692110*p^52*q^830+14644*p^50*q^832+2268*p^87*q^794+842194*p^85*q^796+ 10534930*p^83*q^798+238856468*p^81*q^800+2889880646*p^79*q^802+32538385483*p^77 *q^804+304073582926*p^75*q^806+2365367221824*p^73*q^808+13075106660590*p^71*q^ 810+33770851910066*p^69*q^812+27114738858146*p^67*q^814+7140853481582*p^65*q^ 816+993622955896*p^63*q^818+105848383393*p^61*q^820+9721783982*p^59*q^822+ 703462646*p^57*q^824+55209054*p^55*q^826+1474284*p^53*q^828+253628*p^51*q^830+ 2076*p^49*q^832+834*p^90*q^790+496*p^88*q^792+86120*p^86*q^794+3956812*p^84*q^ 796+45362944*p^82*q^798+793963584*p^80*q^800+9485822242*p^78*q^802+95554546423* p^76*q^804+826653324444*p^74*q^806+5646162409724*p^72*q^808+23207568803838*p^70 *q^810+35417981509755*p^68*q^812+16063585090542*p^66*q^814+2934275048364*p^64*q ^816+349160683122*p^62*q^818+34679421485*p^60*q^820+2956422482*p^58*q^822+ 199015766*p^56*q^824+11718996*p^54*q^826+610052*p^52*q^828+23840*p^50*q^830+28* p^48*q^832+2136*p^89*q^790+552*p^87*q^792+551750*p^85*q^794+11321080*p^83*q^796 +200691398*p^81*q^798+2534438330*p^79*q^800+28973744688*p^77*q^802+271301480943 *p^75*q^804+2138441835440*p^73*q^806+12046559234254*p^71*q^808+32851845222032*p ^69*q^810+27933953009119*p^67*q^812+7750320807710*p^65*q^814+1097129694348*p^63 *q^816+118481639542*p^61*q^818+10914686033*p^59*q^820+811344436*p^57*q^822+ 62509490*p^55*q^824+1876266*p^53*q^826+236564*p^51*q^828+1048*p^49*q^830+56*p^ 90*q^788+52*p^88*q^790+34392*p^86*q^792+3558676*p^84*q^794+36329754*p^82*q^796+ 718573538*p^80*q^798+8376930191*p^78*q^800+85394133866*p^76*q^802+740933572172* p^74*q^804+5150234204516*p^72*q^806+21809370427806*p^70*q^808+35482708941250*p^ 68*q^810+16977988812736*p^66*q^812+3225627003884*p^64*q^814+388483885294*p^62*q ^816+39068073682*p^60*q^818+3359893974*p^58*q^820+219930404*p^56*q^822+15167608 *p^54*q^824+413686*p^52*q^826+56580*p^50*q^828+308*p^48*q^830+4742*p^89*q^788+ 3672*p^87*q^790+531742*p^85*q^792+11389420*p^83*q^794+173617832*p^81*q^796+ 2263301660*p^79*q^798+25800835601*p^77*q^800+243152311746*p^75*q^802+ 1923934994103*p^73*q^804+11127016710124*p^71*q^806+31665692395492*p^69*q^808+ 28837537584078*p^67*q^810+8360751428224*p^65*q^812+1218679947490*p^63*q^814+ 132426948435*p^61*q^816+12366524206*p^59*q^818+953389292*p^57*q^820+70555554*p^ 55*q^822+2613798*p^53*q^824+269328*p^51*q^826+1888*p^49*q^828+60*p^90*q^786+ 2922*p^88*q^788+15232*p^86*q^790+2597726*p^84*q^792+32517028*p^82*q^794+ 627978768*p^80*q^796+7340062898*p^78*q^798+75832499863*p^76*q^800+664727367504* p^74*q^802+4665330188634*p^72*q^804+20547550337044*p^70*q^806+35264765117838*p^ 68*q^808+17997512730468*p^66*q^810+3528905840294*p^64*q^812+432859944324*p^62*q ^814+43789534605*p^60*q^816+3795015166*p^58*q^818+243913682*p^56*q^820+18407456 *p^54*q^822+336962*p^52*q^824+57816*p^50*q^826+32*p^48*q^828+1364*p^89*q^786+ 1812*p^87*q^788+320600*p^85*q^790+11012604*p^83*q^792+139897548*p^81*q^794+ 2017528410*p^79*q^796+22963184312*p^77*q^798+216897942586*p^75*q^800+ 1737687219450*p^73*q^802+10218173452329*p^71*q^804+30617541417728*p^69*q^806+ 29534377093455*p^67*q^808+9034395525672*p^65*q^810+1344083150702*p^63*q^812+ 148049786912*p^61*q^814+13904784401*p^59*q^816+1098943790*p^57*q^818+74822036*p ^55*q^820+3376320*p^53*q^822+198490*p^51*q^824+8144*p^49*q^826+20*p^47*q^828+ 14268*p^88*q^786+17184*p^86*q^788+2274244*p^84*q^790+31002916*p^82*q^792+ 561813794*p^80*q^794+6483526424*p^78*q^796+67858362602*p^76*q^798+595419392082* p^74*q^800+4247701487342*p^72*q^802+19206781452780*p^70*q^804+35102697236978*p^ 68*q^806+18922197170367*p^66*q^808+3871088279852*p^64*q^810+480810124514*p^62*q ^812+49266251838*p^60*q^814+4302984066*p^58*q^816+283353888*p^56*q^818+22850134 *p^54*q^820+515944*p^52*q^822+76224*p^50*q^824+76*p^48*q^826+932*p^89*q^784+ 2456*p^87*q^786+178094*p^85*q^788+9797500*p^83*q^790+116801648*p^81*q^792+ 1800612526*p^79*q^794+20364861885*p^77*q^796+193923795228*p^75*q^798+ 1561455032575*p^73*q^800+9408444420478*p^71*q^802+29332249422575*p^69*q^804+ 30300995276798*p^67*q^806+9712010048293*p^65*q^808+1488903402778*p^63*q^810+ 165328973635*p^61*q^812+15762087888*p^59*q^814+1267640690*p^57*q^816+80338274*p ^55*q^818+4434008*p^53*q^820+92802*p^51*q^822+11336*p^49*q^824+10766*p^88*q^784 +20350*p^86*q^786+1889086*p^84*q^788+29910614*p^82*q^790+481806526*p^80*q^792+ 5733073820*p^78*q^794+60289198876*p^76*q^796+534312760918*p^74*q^798+ 3841873598848*p^72*q^800+18014280432794*p^70*q^802+34635773377117*p^68*q^804+ 19954582254970*p^66*q^806+4222243061644*p^64*q^808+535523967374*p^62*q^810+ 55098951123*p^60*q^812+4842142888*p^58*q^814+330382294*p^56*q^816+25961988*p^54 *q^818+649408*p^52*q^820+92322*p^50*q^822+636*p^48*q^824+122*p^89*q^782+24690*p ^87*q^784+99496*p^85*q^786+8095020*p^83*q^788+98414230*p^81*q^790+1613825186*p^ 79*q^792+18010903084*p^77*q^794+172934197931*p^75*q^796+1407643247200*p^73*q^ 798+8611496705397*p^71*q^800+28199558043846*p^69*q^802+30827050523950*p^67*q^ 804+10456288926348*p^65*q^806+1640223629377*p^63*q^808+184653421366*p^61*q^810+ 17745913453*p^59*q^812+1451550624*p^57*q^814+85705502*p^55*q^816+5759814*p^53*q ^818+91292*p^51*q^820+11708*p^49*q^822+7112*p^88*q^782+5610*p^86*q^784+1257758* p^84*q^786+29094942*p^82*q^788+411793454*p^80*q^790+5063205378*p^78*q^792+ 53976094942*p^76*q^794+478234625368*p^74*q^796+3490826886390*p^72*q^798+ 16773500224724*p^70*q^800+34258641380534*p^68*q^802+20858386193639*p^66*q^804+ 4617451406376*p^64*q^806+593766622632*p^62*q^808+61845557516*p^60*q^810+ 5462620183*p^58*q^812+387860042*p^56*q^814+28420552*p^54*q^816+927512*p^52*q^ 818+45768*p^50*q^820+1772*p^48*q^822+40754*p^87*q^782+124820*p^85*q^784+7648420 *p^83*q^786+88856696*p^81*q^788+1447362322*p^79*q^790+15999588587*p^77*q^792+ 154676449888*p^75*q^794+1263949450963*p^73*q^796+7904435561720*p^71*q^798+ 26855639412287*p^69*q^800+31430142199742*p^67*q^802+11186754793004*p^65*q^804+ 1814529605022*p^63*q^806+206091660331*p^61*q^808+20100932918*p^59*q^810+ 1663208813*p^57*q^812+96916346*p^55*q^814+7676798*p^53*q^816+114688*p^51*q^818+ 27796*p^49*q^820+20*p^47*q^822+2994*p^88*q^780+27430*p^86*q^782+767462*p^84*q^ 784+25412990*p^82*q^786+343236092*p^80*q^788+4482209798*p^78*q^790+47830508533* p^76*q^792+428493287636*p^74*q^794+3151922158249*p^72*q^796+15654545816526*p^70 *q^798+33597250202410*p^68*q^800+21878989723674*p^66*q^802+5021874477446*p^64*q ^804+660544476030*p^62*q^806+69105448736*p^60*q^808+6181188042*p^58*q^810+ 451799656*p^56*q^812+29735526*p^54*q^814+1120932*p^52*q^816+24140*p^50*q^818+ 884*p^48*q^820+52*p^89*q^778+34620*p^87*q^780+63642*p^85*q^782+6099050*p^83*q^ 784+81999076*p^81*q^786+1273047522*p^79*q^788+14154621292*p^77*q^790+ 137930349144*p^75*q^792+1138959070612*p^73*q^794+7216088609642*p^71*q^796+ 25667686440580*p^69*q^798+31768341296073*p^67*q^800+11994719586454*p^65*q^802+ 1993236422293*p^63*q^804+229801019444*p^61*q^806+22552867918*p^59*q^808+ 1864672774*p^57*q^810+109877714*p^55*q^812+9058714*p^53*q^814+174534*p^51*q^816 +19816*p^49*q^818+180*p^47*q^820+176*p^88*q^778+85300*p^86*q^780+609010*p^84*q^ 782+24149444*p^82*q^784+293038744*p^80*q^786+4026450642*p^78*q^788+42719527158* p^76*q^790+383380995504*p^74*q^792+2859120551410*p^72*q^794+14516735726952*p^70 *q^796+32999896783712*p^68*q^798+22749094469572*p^66*q^800+5476070344336*p^64*q ^802+731830226447*p^62*q^804+77631218652*p^60*q^806+7017358440*p^58*q^808+ 537866540*p^56*q^810+31397418*p^54*q^812+1706400*p^52*q^814+18332*p^50*q^816+ 4696*p^48*q^818+26646*p^87*q^778+49312*p^85*q^780+4586502*p^83*q^782+74156976*p ^81*q^784+1115519130*p^79*q^786+12480699909*p^77*q^788+123368543742*p^75*q^790+ 1021441895012*p^73*q^792+6605978001360*p^71*q^794+24316500268501*p^69*q^796+ 32168579988552*p^67*q^798+12777059062399*p^65*q^800+2200156093212*p^63*q^802+ 256021419434*p^61*q^804+25413346834*p^59*q^806+2109383490*p^57*q^808+127296618* p^55*q^810+10400704*p^53*q^812+213142*p^51*q^814+10684*p^49*q^816+28*p^47*q^818 +928*p^88*q^776+107960*p^86*q^778+483646*p^84*q^780+21820834*p^82*q^782+ 256481460*p^80*q^784+3583481438*p^78*q^786+37953040159*p^76*q^788+343371828548* p^74*q^790+2577261373565*p^72*q^792+13497484071650*p^70*q^794+32152741558333*p^ 68*q^796+23714432468746*p^66*q^798+5937224376264*p^64*q^800+813168759772*p^62*q ^802+86630231047*p^60*q^804+7969540352*p^58*q^806+618657852*p^56*q^808+33603250 *p^54*q^810+2274442*p^52*q^812+25838*p^50*q^814+6028*p^48*q^816+8*p^46*q^818+ 5720*p^87*q^776+116974*p^85*q^778+3106710*p^83*q^780+68011040*p^81*q^782+ 948081658*p^79*q^784+11062308038*p^77*q^786+109743336859*p^75*q^788+ 919100460710*p^73*q^790+6014633254420*p^71*q^792+23114509108786*p^69*q^794+ 32310199493065*p^67*q^796+13633737469274*p^65*q^798+2412929421892*p^63*q^800+ 285396535766*p^61*q^802+28479108392*p^59*q^804+2370714538*p^57*q^806+152488322* p^55*q^808+10834760*p^53*q^810+269438*p^51*q^812+3964*p^49*q^814+372*p^47*q^816 +96*p^88*q^774+125186*p^86*q^776+293840*p^84*q^778+19092482*p^82*q^780+ 225851386*p^80*q^782+3221713522*p^78*q^784+33838359752*p^76*q^786+307293965833* p^74*q^788+2335332466002*p^72*q^790+12465546677844*p^70*q^792+31394309967416*p^ 68*q^794+24511570655897*p^66*q^796+6450645406080*p^64*q^798+899310469331*p^62*q ^800+97041713500*p^60*q^802+9032346042*p^58*q^804+708479174*p^56*q^806+35669718 *p^54*q^808+3052804*p^52*q^810+48076*p^50*q^812+3476*p^48*q^814+7580*p^87*q^774 +215750*p^85*q^776+2605476*p^83*q^778+64257602*p^81*q^780+827415504*p^79*q^782+ 9812499501*p^77*q^784+98163355568*p^75*q^786+823681365084*p^73*q^788+ 5492223707828*p^71*q^790+21778240168105*p^69*q^792+32503126953052*p^67*q^794+ 14456106337794*p^65*q^796+2656971064142*p^63*q^798+317769513835*p^61*q^800+ 32127941886*p^59*q^802+2699177182*p^57*q^804+186513986*p^55*q^806+11991882*p^53 *q^808+424548*p^51*q^810+2298*p^49*q^812+1228*p^47*q^814+60082*p^86*q^774+ 251480*p^84*q^776+14594740*p^82*q^778+197165346*p^80*q^780+2825753806*p^78*q^ 782+29918231294*p^76*q^784+274867299072*p^74*q^786+2101934785169*p^72*q^788+ 11547204793672*p^70*q^790+30385745725383*p^68*q^792+25408100720468*p^66*q^794+ 6969801959306*p^64*q^796+997464899264*p^62*q^798+108234246628*p^60*q^800+ 10188385696*p^58*q^802+795631855*p^56*q^804+39518340*p^54*q^806+3357444*p^52*q^ 808+36242*p^50*q^810+1684*p^48*q^812+8*p^46*q^814+2784*p^87*q^772+349082*p^85*q ^774+1802332*p^83*q^776+59702874*p^81*q^778+715739306*p^79*q^780+8760998614*p^ 77*q^782+87438099835*p^75*q^784+741018637902*p^73*q^786+4989741094575*p^71*q^ 788+20600012025904*p^69*q^790+32419983915719*p^67*q^792+15354224852690*p^65*q^ 794+2906360004301*p^63*q^796+353990222098*p^61*q^798+35902553666*p^59*q^800+ 3072231000*p^57*q^802+220828716*p^55*q^804+11830794*p^53*q^806+668378*p^51*q^ 808+9184*p^49*q^810+644*p^47*q^812+42700*p^86*q^772+337434*p^84*q^774+11640720* p^82*q^776+180738080*p^80*q^778+2488815800*p^78*q^780+26611475614*p^76*q^782+ 245722366265*p^74*q^784+1900649638432*p^72*q^786+10628234433362*p^70*q^788+ 29485506483624*p^68*q^790+26095870029585*p^66*q^792+7546995823746*p^64*q^794+ 1101907364172*p^62*q^796+121154371714*p^60*q^798+11538505006*p^58*q^800+ 898605044*p^56*q^802+48260616*p^54*q^804+4014366*p^52*q^806+57014*p^50*q^808+84 *p^48*q^810+148*p^46*q^812+352*p^87*q^770+308398*p^85*q^772+1348978*p^83*q^774+ 53507744*p^81*q^776+619707346*p^79*q^778+7823414042*p^77*q^780+78176123688*p^75 *q^782+663625456063*p^73*q^784+4547924003182*p^71*q^786+19314865168010*p^69*q^ 788+32407220963208*p^67*q^790+16191639046602*p^65*q^792+3192660324178*p^63*q^ 794+393255140117*p^61*q^796+40363433918*p^59*q^798+3495024742*p^57*q^800+ 258696316*p^55*q^802+11717174*p^53*q^804+876656*p^51*q^806+7718*p^49*q^808+584* p^47*q^810+54*p^88*q^768+30732*p^86*q^770+642416*p^84*q^772+9048920*p^82*q^774+ 164922526*p^80*q^776+2180884352*p^78*q^778+23534570655*p^76*q^780+219672525968* p^74*q^782+1709268520569*p^72*q^784+9805824903906*p^70*q^786+28367375806064*p^ 68*q^788+26882691390128*p^66*q^790+8123484847804*p^64*q^792+1220624986632*p^62* q^794+135167696292*p^60*q^796+13045858020*p^58*q^798+1016948264*p^56*q^800+ 59585642*p^54*q^802+4312744*p^52*q^804+98732*p^50*q^806+980*p^48*q^808+68*p^46* q^810+236*p^87*q^768+203156*p^85*q^770+926432*p^83*q^772+44152920*p^81*q^774+ 537684184*p^79*q^776+6938866552*p^77*q^778+69482113288*p^75*q^780+596368619938* p^73*q^782+4122749800507*p^71*q^784+18179292562672*p^69*q^786+32115532849904*p^ 67*q^788+17116002264276*p^65*q^790+3482641018224*p^63*q^792+437527312138*p^61*q ^794+45022713046*p^59*q^796+3961820136*p^57*q^798+291673475*p^55*q^800+12087274 *p^53*q^802+1044622*p^51*q^804+4884*p^49*q^806+8*p^45*q^810+7492*p^86*q^768+ 902866*p^84*q^770+6997176*p^82*q^772+156215022*p^80*q^774+1910476140*p^78*q^776 +21019184678*p^76*q^778+196372033208*p^74*q^780+1544334387086*p^72*q^782+ 8999819862924*p^70*q^784+27354087255834*p^68*q^786+27439594844025*p^66*q^788+ 8761105771540*p^64*q^790+1345366888917*p^62*q^792+151199605810*p^60*q^794+ 14692687342*p^58*q^796+1156859378*p^56*q^798+75094090*p^54*q^800+4279558*p^52*q ^802+183240*p^50*q^804+1938*p^48*q^806+108*p^46*q^808+824*p^87*q^766+186384*p^ 85*q^768+1172720*p^83*q^770+37209766*p^81*q^772+477112434*p^79*q^774+6180184280 *p^77*q^776+61998996078*p^75*q^778+533822625753*p^73*q^780+3748619269668*p^71*q ^782+16968136564468*p^69*q^784+31879773030638*p^67*q^786+17958766973432*p^65*q^ 788+3816503075548*p^63*q^790+486013462314*p^61*q^792+50615051712*p^59*q^794+ 4537466008*p^57*q^796+336526660*p^55*q^798+13909678*p^53*q^800+1353786*p^51*q^ 802+9398*p^49*q^804+36*p^47*q^806+4*p^45*q^808+5126*p^86*q^766+755558*p^84*q^ 768+4890462*p^82*q^770+139748612*p^80*q^772+1652416588*p^78*q^774+18602475189*p ^76*q^776+175552106600*p^74*q^778+1386438823654*p^72*q^780+8280267964906*p^70*q ^782+26166981032405*p^68*q^784+28083322490454*p^66*q^786+9391827799708*p^64*q^ 788+1487347580486*p^62*q^790+168218668257*p^60*q^792+16497452242*p^58*q^794+ 1303886901*p^56*q^796+87404116*p^54*q^798+4014290*p^52*q^800+214206*p^50*q^802+ 200*p^48*q^804+116*p^87*q^764+79794*p^85*q^766+1784562*p^83*q^768+29701456*p^81 *q^770+427658504*p^79*q^772+5467289048*p^77*q^774+55119134470*p^75*q^776+ 479190986560*p^73*q^778+3392743407660*p^71*q^780+15895183597446*p^69*q^782+ 31391872641408*p^67*q^784+18873920130680*p^65*q^786+4152651550107*p^63*q^788+ 540238918128*p^61*q^790+56543768808*p^59*q^792+5164038308*p^57*q^794+377461328* p^55*q^796+18187534*p^53*q^798+1431310*p^51*q^800+26210*p^49*q^802+302*p^47*q^ 804+8*p^45*q^806+5742*p^86*q^764+752020*p^84*q^766+3875900*p^82*q^768+124903540 *p^80*q^770+1445146690*p^78*q^772+16650144168*p^76*q^774+156703556669*p^74*q^ 776+1251898037402*p^72*q^778+7573152288423*p^70*q^780+25093116982716*p^68*q^782 +28487693492131*p^66*q^784+10087864553424*p^64*q^786+1636241830496*p^62*q^788+ 187998258692*p^60*q^790+18528225797*p^58*q^792+1493063302*p^56*q^794+104759037* p^54*q^796+3566784*p^52*q^798+319954*p^50*q^800+566*p^48*q^802+53098*p^85*q^764 +2011114*p^83*q^766+23734328*p^81*q^768+393498676*p^79*q^770+4830012938*p^77*q^ 772+49075119278*p^75*q^774+428871390290*p^73*q^776+3079420357424*p^71*q^778+ 14771049061250*p^69*q^780+30960299896144*p^67*q^782+19696414392299*p^65*q^784+ 4534566979256*p^63*q^786+599054613696*p^61*q^788+63481818224*p^59*q^790+ 5872209406*p^57*q^792+426571084*p^55*q^794+22859490*p^53*q^796+1588586*p^51*q^ 798+38852*p^49*q^800+3308*p^86*q^762+502208*p^84*q^764+4026436*p^82*q^766+ 106065794*p^80*q^768+1256722956*p^78*q^770+14763971630*p^76*q^772+140142230282* p^74*q^774+1122870620782*p^72*q^776+6948434297536*p^70*q^778+23857835259551*p^ 68*q^780+28971375231044*p^66*q^782+10770579455985*p^64*q^784+1805592821366*p^62 *q^786+209126039097*p^60*q^788+20794000720*p^58*q^790+1707634951*p^56*q^792+ 120920318*p^54*q^794+3918562*p^52*q^796+367022*p^50*q^798+2098*p^48*q^800+20*p^ 46*q^802+33588*p^85*q^762+2195580*p^83*q^764+17342488*p^81*q^766+358118700*p^79 *q^768+4237711540*p^77*q^770+43600125087*p^75*q^772+384457061752*p^73*q^774+ 2782061033985*p^71*q^776+13781261166260*p^69*q^778+30278630274499*p^67*q^780+ 20590891714012*p^65*q^782+4919242791069*p^63*q^784+665108070696*p^61*q^786+ 70822477232*p^59*q^788+6632200272*p^57*q^790+478349750*p^55*q^792+28045422*p^53 *q^794+1304034*p^51*q^796+54470*p^49*q^798+16*p^47*q^800+448*p^86*q^760+338106* p^84*q^762+4361556*p^82*q^764+91046288*p^80*q^766+1111695662*p^78*q^768+ 13201268182*p^76*q^770+125076334225*p^74*q^772+1012738638538*p^72*q^774+ 6340354359432*p^70*q^776+22756070174820*p^68*q^778+29188056795565*p^66*q^780+ 11517573849380*p^64*q^782+1982524998066*p^62*q^784+233354076846*p^60*q^786+ 23306103913*p^58*q^788+1975170968*p^56*q^790+137645063*p^54*q^792+5065338*p^52* q^794+497830*p^50*q^796+5900*p^48*q^798+2*p^89*q^756+31640*p^85*q^760+2018440*p ^83*q^762+15013340*p^81*q^764+323933466*p^79*q^766+3726360877*p^77*q^768+ 38909033338*p^75*q^770+343725619609*p^73*q^772+2521090255136*p^71*q^774+ 12755826026191*p^69*q^776+29677024941414*p^67*q^778+21353111621733*p^65*q^780+ 5356292925158*p^63*q^782+736354072958*p^61*q^784+79451853868*p^59*q^786+ 7507703288*p^57*q^788+542225532*p^55*q^790+35520016*p^53*q^792+1104720*p^51*q^ 794+72110*p^49*q^796+72*p^47*q^798+168*p^86*q^758+222054*p^84*q^760+5060708*p^ 82*q^762+71920280*p^80*q^764+992763380*p^78*q^766+11682592874*p^76*q^768+ 111559045872*p^74*q^770+907897281195*p^72*q^772+5799156573958*p^70*q^774+ 21522580454476*p^68*q^776+29495684428614*p^66*q^778+12239061889405*p^64*q^780+ 2183315892528*p^62*q^782+259463795839*p^60*q^784+26186184830*p^58*q^786+ 2255681706*p^56*q^788+155530688*p^54*q^790+6146683*p^52*q^792+504722*p^50*q^794 +6930*p^48*q^796+8*p^89*q^754+52*p^87*q^756+11356*p^85*q^758+1519954*p^83*q^760 +12282542*p^81*q^762+287325746*p^79*q^764+3247943978*p^77*q^766+34564873523*p^ 75*q^768+308327519776*p^73*q^770+2274146183452*p^71*q^772+11851839268842*p^69*q ^774+28847619223733*p^67*q^776+22198487322232*p^65*q^778+5788890257175*p^63*q^ 780+816138854566*p^61*q^782+88487230603*p^59*q^784+8413763786*p^57*q^786+ 619401936*p^55*q^788+41050834*p^53*q^790+1080648*p^51*q^792+105300*p^49*q^794+ 552*p^47*q^796+26*p^88*q^754+175412*p^84*q^758+5657023*p^82*q^760+59878968*p^80 *q^762+900368842*p^78*q^764+10403383282*p^76*q^766+99586264974*p^74*q^768+ 817794651626*p^72*q^770+5279901252078*p^70*q^772+20413867001580*p^68*q^774+ 29522433168434*p^66*q^776+13030043097650*p^64*q^778+2390919018310*p^62*q^780+ 289561636982*p^60*q^782+29377001288*p^58*q^784+2602842814*p^56*q^786+173209465* p^54*q^788+8756880*p^52*q^790+428094*p^50*q^792+11024*p^48*q^794+4388*p^85*q^ 756+1222134*p^83*q^758+12014760*p^81*q^760+249853440*p^79*q^762+2852124986*p^77 *q^764+30877736732*p^75*q^766+275403400190*p^73*q^768+2058149672326*p^71*q^770+ 10930263564934*p^69*q^772+28084352504324*p^67*q^774+22891918005835*p^65*q^776+ 6281620607768*p^63*q^778+902402260693*p^61*q^780+99059277700*p^59*q^782+ 9480752205*p^57*q^784+718749306*p^55*q^786+48979140*p^53*q^788+1142346*p^51*q^ 790+148674*p^49*q^792+808*p^47*q^794+128*p^88*q^752+792*p^86*q^754+120488*p^84* q^756+5057036*p^82*q^758+48355932*p^80*q^760+810771792*p^78*q^762+9167498307*p^ 76*q^764+88755805770*p^74*q^766+732349538046*p^72*q^768+4818709721084*p^70*q^ 770+19212221471301*p^68*q^772+29630115303000*p^66*q^774+13779166660886*p^64*q^ 776+2627498641870*p^62*q^778+321251332974*p^60*q^780+32987677582*p^58*q^782+ 2952144921*p^56*q^784+191898446*p^54*q^786+10747942*p^52*q^788+346950*p^50*q^ 790+14532*p^48*q^792+20*p^46*q^794+134*p^87*q^752+944*p^85*q^754+810850*p^83*q^ 756+13167350*p^81*q^758+209453312*p^79*q^760+2515754758*p^77*q^762+27458362085* p^75*q^764+246826506876*p^73*q^766+1854231411874*p^71*q^768+10119340728960*p^69 *q^770+27131963518235*p^67*q^772+23643035801960*p^65*q^774+6768478531393*p^63*q ^776+998594554910*p^61*q^778+110333312710*p^59*q^780+10633578378*p^57*q^782+ 830447190*p^55*q^784+55193920*p^53*q^786+1649682*p^51*q^788+142210*p^49*q^790+ 1170*p^47*q^792+8*p^88*q^750+88*p^86*q^752+56084*p^84*q^754+4726720*p^82*q^756+ 39173222*p^80*q^758+734174144*p^78*q^760+8107588548*p^76*q^762+79123044600*p^74 *q^764+659182306666*p^72*q^766+4376231188681*p^70*q^768+18135227111586*p^68*q^ 770+29468593320995*p^66*q^772+14594991273122*p^64*q^774+2870055279813*p^62*q^ 776+358134984770*p^60*q^778+36944724573*p^58*q^780+3356720796*p^56*q^782+ 219053969*p^54*q^784+13588428*p^52*q^786+232688*p^50*q^788+30456*p^48*q^790+84* p^46*q^792+884*p^87*q^750+5328*p^85*q^752+719890*p^83*q^754+13387148*p^81*q^756 +180736138*p^79*q^758+2244002888*p^77*q^760+24520517650*p^75*q^762+220528976522 *p^73*q^764+1676135439450*p^71*q^766+9299668945972*p^69*q^768+26259863965760*p^ 67*q^770+24230680581785*p^65*q^772+7314620594836*p^63*q^774+1102304467326*p^61* q^776+123461149056*p^59*q^778+11979384202*p^57*q^780+973704042*p^55*q^782+ 61721292*p^53*q^784+2400374*p^51*q^786+143480*p^49*q^788+1268*p^47*q^790+8*p^88 *q^748+348*p^86*q^750+22344*p^84*q^752+3497800*p^82*q^754+35447170*p^80*q^756+ 642733164*p^78*q^758+7099738928*p^76*q^760+70538550930*p^74*q^762+589707133419* p^72*q^764+3984806926510*p^70*q^766+16980331290585*p^68*q^768+29383298503700*p^ 66*q^770+15359507929991*p^64*q^772+3144788950962*p^62*q^774+397148679341*p^60*q ^776+41384091296*p^58*q^778+3777679965*p^56*q^780+248490702*p^54*q^782+16112062 *p^52*q^784+234512*p^50*q^786+33074*p^48*q^788+64*p^46*q^790+328*p^87*q^748+ 2710*p^85*q^750+452304*p^83*q^752+13456090*p^81*q^754+146042909*p^79*q^756+ 2011127024*p^77*q^758+21763269902*p^75*q^760+197459603210*p^73*q^762+ 1508173856719*p^71*q^764+8583121294082*p^69*q^766+25210069535774*p^67*q^768+ 24883179771068*p^65*q^770+7850364180590*p^63*q^772+1218273091614*p^61*q^774+ 137337602203*p^59*q^776+13461133774*p^57*q^778+1119597166*p^55*q^780+67681278*p ^53*q^782+3138022*p^51*q^784+78870*p^49*q^786+4206*p^47*q^788+4*p^45*q^790+3354 *p^86*q^748+24034*p^84*q^750+3003804*p^82*q^752+34075442*p^80*q^754+571857474*p ^78*q^756+6283327578*p^76*q^758+62977774633*p^74*q^760+530409109708*p^72*q^762+ 3612859856976*p^70*q^764+15952515342284*p^68*q^766+29023988460292*p^66*q^768+ 16184842519260*p^64*q^770+3426784031783*p^62*q^772+441749002806*p^60*q^774+ 46308959965*p^58*q^776+4272858016*p^56*q^778+292832255*p^54*q^780+19048446*p^52 *q^782+421252*p^50*q^784+44976*p^48*q^786+60*p^46*q^788+144*p^87*q^746+690*p^85 *q^748+245062*p^83*q^750+12189042*p^81*q^752+122417030*p^79*q^754+1795751923*p^ 77*q^756+19355530342*p^75*q^758+176080421703*p^73*q^760+1361642621594*p^71*q^ 762+7862914916465*p^69*q^764+24260794498232*p^67*q^766+25329388571459*p^65*q^ 768+8453930711250*p^63*q^770+1341581821363*p^61*q^772+153695954166*p^59*q^774+ 15150441583*p^57*q^776+1291566182*p^55*q^778+74789960*p^53*q^780+4088982*p^51*q ^782+38408*p^49*q^784+5480*p^47*q^786+3386*p^86*q^746+28558*p^84*q^748+2435828* p^82*q^750+33813402*p^80*q^752+491531918*p^78*q^754+5553355246*p^76*q^756+ 56146684908*p^74*q^758+474631115833*p^72*q^760+3282853817990*p^70*q^762+ 14871881766495*p^68*q^764+28751281460766*p^66*q^766+16938120104695*p^64*q^768+ 3744628956450*p^62*q^770+489493685500*p^60*q^772+51803649170*p^58*q^774+ 4800448795*p^56*q^776+343342876*p^54*q^778+21552135*p^52*q^780+591690*p^50*q^ 782+32092*p^48*q^784+342*p^46*q^786+44*p^87*q^744+7594*p^85*q^746+131712*p^83*q ^748+10243670*p^81*q^750+102703472*p^79*q^752+1611002608*p^77*q^754+17073089346 *p^75*q^756+157574123170*p^73*q^758+1223370694573*p^71*q^760+7232575685454*p^69 *q^762+23159219213703*p^67*q^764+25852623766932*p^65*q^766+9034739272748*p^63*q ^768+1480243282258*p^61*q^770+170760070594*p^59*q^772+17027855468*p^57*q^774+ 1466534906*p^55*q^776+83911544*p^53*q^778+4897474*p^51*q^780+53390*p^49*q^782+ 8832*p^47*q^784+1500*p^86*q^744+6664*p^84*q^746+1646656*p^82*q^748+33548230*p^ 80*q^750+421550895*p^78*q^752+4925431698*p^76*q^754+50148753116*p^74*q^756+ 426597210634*p^72*q^758+2972212147243*p^70*q^760+13910325998252*p^68*q^762+ 28218907116336*p^66*q^764+17752715791576*p^64*q^766+4066424839035*p^62*q^768+ 543825884042*p^60*q^770+57866650056*p^58*q^772+5405158238*p^56*q^774+405017478* p^54*q^776+23252750*p^52*q^778+891370*p^50*q^780+13136*p^48*q^782+752*p^46*q^ 784+16144*p^85*q^744+170198*p^83*q^746+9429788*p^81*q^748+94339028*p^79*q^750+ 1440551701*p^77*q^752+15199307762*p^75*q^754+140572467110*p^73*q^756+ 1103178646312*p^71*q^758+6607899491034*p^69*q^760+22149042779868*p^67*q^762+ 26149985875844*p^65*q^764+9688744226576*p^63*q^766+1627359443460*p^61*q^768+ 190952005502*p^59*q^770+19150978030*p^57*q^772+1689694330*p^55*q^774+98316944*p ^53*q^776+6403718*p^51*q^778+86132*p^49*q^780+9986*p^47*q^782+12*p^45*q^784+ 1088*p^86*q^742+13807*p^84*q^744+948230*p^82*q^746+30019404*p^80*q^748+ 348875422*p^78*q^750+4360802864*p^76*q^752+44567872312*p^74*q^754+381000887578* p^72*q^756+2696062065258*p^70*q^758+12914548077075*p^68*q^760+27771478067920*p^ 66*q^762+18477933830719*p^64*q^764+4431366585596*p^62*q^766+601557025324*p^60*q ^768+64690663114*p^58*q^770+6083732330*p^56*q^772+466204542*p^54*q^774+24906128 *p^52*q^776+1022334*p^50*q^778+6350*p^48*q^780+928*p^46*q^782+16*p^87*q^740+ 10900*p^85*q^742+80654*p^83*q^744+7577498*p^81*q^746+88170380*p^79*q^748+ 1274754508*p^77*q^750+13427115013*p^75*q^752+125863521240*p^73*q^754+ 990948110039*p^71*q^756+6061644876234*p^69*q^758+21033744541722*p^67*q^760+ 26505519303452*p^65*q^762+10310233212122*p^63*q^764+1791108589928*p^61*q^766+ 211881818542*p^59*q^768+21458351440*p^57*q^770+1886528864*p^55*q^772+115977710* p^53*q^774+7081980*p^51*q^776+159600*p^49*q^778+4386*p^47*q^780+80*p^45*q^782+ 72*p^86*q^740+42564*p^84*q^742+798514*p^82*q^744+28739566*p^80*q^746+298285976* p^78*q^748+3923004932*p^76*q^750+39710191870*p^74*q^752+342244570702*p^72*q^754 +2435520069863*p^70*q^756+12029434625206*p^68*q^758+27085007840541*p^66*q^760+ 19255253599968*p^64*q^762+4798330065014*p^62*q^764+667944069204*p^60*q^766+ 72355754910*p^58*q^768+6887243018*p^56*q^770+554339921*p^54*q^772+28024586*p^52 *q^774+1500237*p^50*q^776+8912*p^48*q^778+2110*p^46*q^780+10488*p^85*q^740+ 55554*p^83*q^742+5481380*p^81*q^744+81203428*p^79*q^746+1112728600*p^77*q^748+ 11871614440*p^75*q^750+112244717086*p^73*q^752+892663604826*p^71*q^754+ 5523468511934*p^69*q^756+20012142043922*p^67*q^758+26642892712365*p^65*q^760+ 11003137539014*p^63*q^762+1964170614948*p^61*q^764+236468400918*p^59*q^766+ 24014568084*p^57*q^768+2135434728*p^55*q^770+135263482*p^53*q^772+7638180*p^51* q^774+195056*p^49*q^776+1918*p^47*q^778+36*p^45*q^780+332*p^86*q^738+48928*p^84 *q^740+596480*p^82*q^742+25906224*p^80*q^744+263225800*p^78*q^746+3490041800*p^ 76*q^748+35384668056*p^74*q^750+305696729511*p^72*q^752+2206410631904*p^70*q^ 754+11122235207011*p^68*q^756+26484351775236*p^66*q^758+19926860780359*p^64*q^ 760+5210084647788*p^62*q^762+737853595965*p^60*q^764+80874211840*p^58*q^766+ 7770139572*p^56*q^768+638453756*p^54*q^770+32015306*p^52*q^772+1940634*p^50*q^ 774+20104*p^48*q^776+892*p^46*q^778+4*p^44*q^780+2836*p^85*q^738+82220*p^83*q^ 740+3783156*p^81*q^742+76245176*p^79*q^744+944377172*p^77*q^746+10512995752*p^ 75*q^748+100194862420*p^73*q^750+800552141995*p^71*q^752+5054083362968*p^69*q^ 754+18895499105042*p^67*q^756+26838419854754*p^65*q^758+11658884831553*p^63*q^ 760+2157777634350*p^61*q^762+262358703693*p^59*q^764+26902306008*p^57*q^766+ 2397729638*p^55*q^768+160403170*p^53*q^770+8143382*p^51*q^772+250438*p^49*q^774 +596*p^47*q^776+272*p^45*q^778+40*p^86*q^736+56814*p^84*q^738+365845*p^82*q^740 +22285190*p^80*q^742+232414099*p^78*q^744+3151315670*p^76*q^746+31439179969*p^ 74*q^748+274636770834*p^72*q^750+1991429318344*p^70*q^752+10324068351170*p^68*q ^754+25664789128716*p^66*q^756+20643804851794*p^64*q^758+5622394276807*p^62*q^ 760+817245015196*p^60*q^762+90134350438*p^58*q^764+8756822898*p^56*q^766+ 727500458*p^54*q^768+37200170*p^52*q^770+2205862*p^50*q^772+36850*p^48*q^774+ 676*p^46*q^776+3092*p^85*q^736+135284*p^83*q^738+3148458*p^81*q^740+72817930*p^ 79*q^742+824057364*p^77*q^744+9349696000*p^75*q^746+89434755646*p^73*q^748+ 720451735552*p^71*q^750+4594728213618*p^69*q^752+17886887616022*p^67*q^754+ 26783296862475*p^65*q^756+12385596387280*p^63*q^758+2360909292205*p^61*q^760+ 292649749030*p^59*q^762+30195042765*p^57*q^764+2731780790*p^55*q^766+195995544* p^53*q^768+9189630*p^51*q^770+421384*p^49*q^772+1396*p^47*q^774+102*p^45*q^776+ 33480*p^84*q^736+283536*p^82*q^738+16883902*p^80*q^740+206566434*p^78*q^742+ 2755196865*p^76*q^744+27893318856*p^74*q^746+244866442933*p^72*q^748+ 1800634388602*p^70*q^750+9510766906755*p^68*q^752+24946025939272*p^66*q^754+ 21230222378520*p^64*q^756+6085414639816*p^62*q^758+901502286894*p^60*q^760+ 100724079832*p^58*q^762+9802560992*p^56*q^764+821381120*p^54*q^766+42362620*p^ 52*q^768+2324644*p^50*q^770+31488*p^48*q^772+20*p^46*q^774+16*p^44*q^776+1320*p ^85*q^734+194918*p^83*q^736+2111670*p^81*q^738+67683732*p^79*q^740+712184908*p^ 77*q^742+8342925436*p^75*q^744+79886660474*p^73*q^746+646184446899*p^71*q^748+ 4193900735108*p^69*q^750+16812315895901*p^67*q^752+26808684795052*p^65*q^754+ 13054054817977*p^63*q^756+2586415825302*p^61*q^758+324280208495*p^59*q^760+ 33735915834*p^57*q^762+3085583638*p^55*q^764+229437506*p^53*q^766+10162674*p^51 *q^768+541412*p^49*q^770+5528*p^47*q^772+130*p^45*q^774+20420*p^84*q^734+300286 *p^82*q^736+13549502*p^80*q^738+192066058*p^78*q^740+2432826208*p^76*q^742+ 24759312850*p^74*q^744+219841588006*p^72*q^746+1622391346047*p^70*q^748+ 8795612803888*p^68*q^750+24025690546099*p^66*q^752+21867354856944*p^64*q^754+ 6540507407389*p^62*q^756+997770897436*p^60*q^758+112232507402*p^58*q^760+ 11065468470*p^56*q^762+930828176*p^54*q^764+52442684*p^52*q^766+2578088*p^50*q^ 768+64208*p^48*q^770+36*p^46*q^772+6*p^44*q^774+140*p^85*q^732+192692*p^83*q^ 734+1627531*p^81*q^736+60028180*p^79*q^738+619239729*p^77*q^740+7467906774*p^75 *q^742+71221552262*p^73*q^744+580938895196*p^71*q^746+3806387966852*p^69*q^748+ 15829927747766*p^67*q^750+26588679392423*p^65*q^752+13799111725472*p^63*q^754+ 2822103752334*p^61*q^756+360956390542*p^59*q^758+37777761125*p^57*q^760+ 3496679784*p^55*q^762+268920559*p^53*q^764+11393784*p^51*q^766+636990*p^49*q^ 768+4424*p^47*q^770+24*p^86*q^730+16668*p^84*q^732+475862*p^82*q^734+10219514*p ^80*q^736+178541274*p^78*q^738+2119970120*p^76*q^740+21957514480*p^74*q^742+ 195927260958*p^72*q^744+1465659920686*p^70*q^746+8075188026482*p^68*q^748+ 23207016819274*p^66*q^750+22348218790094*p^64*q^752+7054583330256*p^62*q^754+ 1098203900792*p^60*q^756+125440073470*p^58*q^758+12398881982*p^56*q^760+ 1057894314*p^54*q^762+63053758*p^52*q^764+2871558*p^50*q^766+100520*p^48*q^768+ 472*p^46*q^770+10*p^44*q^772+112*p^85*q^730+119132*p^83*q^732+1060268*p^81*q^ 734+49573970*p^79*q^736+540553124*p^77*q^738+6627489811*p^75*q^740+63510927624* p^73*q^742+520565627182*p^71*q^744+3466769673856*p^69*q^746+14812619067246*p^67 *q^748+26428499563900*p^65*q^750+14476051411020*p^63*q^752+3083794568202*p^61*q ^754+399474793456*p^59*q^756+42184213280*p^57*q^758+3934187494*p^55*q^760+ 304147800*p^53*q^762+12998132*p^51*q^764+625728*p^49*q^766+6064*p^47*q^768+3844 *p^84*q^730+649074*p^82*q^732+8076172*p^80*q^734+169133519*p^78*q^736+ 1863063880*p^76*q^738+19562046114*p^74*q^740+175799226480*p^72*q^742+ 1319215344613*p^70*q^744+7445579210852*p^68*q^746+22222494361523*p^66*q^748+ 22868149279438*p^64*q^750+7552543444672*p^62*q^752+1212919399666*p^60*q^754+ 139654721378*p^58*q^756+13941362514*p^56*q^758+1201041194*p^54*q^760+79050940*p ^52*q^762+3184838*p^50*q^764+153080*p^48*q^766+768*p^46*q^768+392*p^85*q^728+ 114754*p^83*q^730+1188384*p^81*q^732+40990922*p^79*q^734+484969982*p^77*q^736+ 5901699854*p^75*q^738+56514790404*p^73*q^740+467777130200*p^71*q^742+ 3138930679934*p^69*q^744+13886230276306*p^67*q^746+26041883340378*p^65*q^748+ 15216942741906*p^63*q^750+3356308727103*p^61*q^752+444474491172*p^59*q^754+ 47207420892*p^57*q^756+4467975834*p^55*q^758+353137700*p^53*q^760+15380274*p^51 *q^762+770602*p^49*q^764+12782*p^47*q^766+16*p^45*q^768+2544*p^84*q^728+536088* p^82*q^730+5577906*p^80*q^732+152042032*p^78*q^734+1608004616*p^76*q^736+ 17391407772*p^74*q^738+156715325044*p^72*q^740+1189930072740*p^70*q^742+ 6816217098516*p^68*q^744+21342003809314*p^66*q^746+23226867843767*p^64*q^748+ 8109759483816*p^62*q^750+1332634993028*p^60*q^752+155670873234*p^58*q^754+ 15572182072*p^56*q^756+1358703064*p^54*q^758+91055308*p^52*q^760+3403524*p^50*q ^762+140534*p^48*q^764+260*p^46*q^766+92*p^85*q^726+49608*p^83*q^728+1560504*p^ 81*q^730+32885126*p^79*q^732+441577030*p^77*q^734+5210639547*p^75*q^736+ 50377470824*p^73*q^738+418534187153*p^71*q^740+2854646536218*p^69*q^742+ 12929649941196*p^67*q^744+25725384277968*p^65*q^746+15876699369077*p^63*q^748+ 3657101528596*p^61*q^750+491476484441*p^59*q^752+52825208846*p^57*q^754+ 5029226961*p^55*q^756+399112486*p^53*q^758+19716718*p^51*q^760+858980*p^49*q^ 762+26468*p^47*q^764+88*p^45*q^766+2968*p^84*q^726+525240*p^82*q^728+4370628*p^ 80*q^730+134372683*p^78*q^732+1408361760*p^76*q^734+15529276637*p^74*q^736+ 140376161930*p^72*q^738+1070508389045*p^70*q^740+6264755406438*p^68*q^742+ 20322736744133*p^66*q^744+23621148775910*p^64*q^746+8648725384064*p^62*q^748+ 1468276583598*p^60*q^750+173063940796*p^58*q^752+17472271416*p^56*q^754+ 1544923272*p^54*q^756+109181722*p^52*q^758+3712010*p^50*q^760+162574*p^48*q^762 +1060*p^46*q^764+29408*p^83*q^726+1684872*p^81*q^728+26114562*p^79*q^730+ 409261374*p^77*q^732+4616590734*p^75*q^734+44759903013*p^73*q^736+376144897006* p^71*q^738+2580138658082*p^69*q^740+12073749768174*p^67*q^742+25171675352193*p^ 65*q^744+16600227629086*p^63*q^746+3966592275733*p^61*q^748+545940842828*p^59*q ^750+59088366989*p^57*q^752+5673597146*p^55*q^754+455698719*p^53*q^756+24318582 *p^51*q^758+960900*p^49*q^760+32708*p^47*q^762+4*p^88*q^720+2296*p^84*q^724+ 361966*p^82*q^726+4289542*p^80*q^728+113802326*p^78*q^730+1232803598*p^76*q^732 +13799987532*p^74*q^734+125154573549*p^72*q^736+964152910790*p^70*q^738+ 5719411974987*p^68*q^740+19405865185348*p^66*q^742+23831597146991*p^64*q^744+ 9250246246660*p^62*q^746+1610387220257*p^60*q^748+192934759006*p^58*q^750+ 19520542897*p^56*q^752+1761826498*p^54*q^754+126932248*p^52*q^756+4398144*p^50* q^758+204508*p^48*q^760+2644*p^46*q^762+4*p^44*q^764+19890*p^83*q^724+1755574*p ^81*q^726+18999236*p^79*q^728+373987940*p^77*q^730+4028541076*p^75*q^732+ 39896434578*p^73*q^734+336146793843*p^71*q^736+2341828485386*p^69*q^738+ 11198651993574*p^67*q^740+24715304504982*p^65*q^742+17217891121210*p^63*q^744+ 4309101610160*p^61*q^746+602665500005*p^59*q^748+65959976102*p^57*q^750+ 6350104053*p^55*q^752+513536870*p^53*q^754+28957966*p^51*q^756+943834*p^49*q^ 758+24792*p^47*q^760+48*p^45*q^762+252*p^84*q^722+218160*p^82*q^724+4272376*p^ 80*q^726+97489125*p^78*q^728+1101970652*p^76*q^730+12329407056*p^74*q^732+ 112076359514*p^72*q^734+866845319803*p^70*q^736+5243495166576*p^68*q^738+ 18381044591892*p^66*q^740+24079933757514*p^64*q^742+9816966984175*p^62*q^744+ 1770724501822*p^60*q^746+214221760486*p^58*q^748+21932341658*p^56*q^750+ 2004740776*p^54*q^752+146498730*p^52*q^754+5737586*p^50*q^756+252306*p^48*q^758 +6310*p^46*q^760+60*p^87*q^718+21492*p^83*q^722+1649554*p^81*q^724+16498020*p^ 79*q^726+337218245*p^77*q^728+3550076636*p^75*q^730+35497155998*p^73*q^732+ 301666458854*p^71*q^734+2113814848030*p^69*q^736+10410390396984*p^67*q^738+ 24033699899399*p^65*q^740+17902707690436*p^63*q^742+4658643383051*p^61*q^744+ 668633307528*p^59*q^746+73700794518*p^57*q^748+7151973354*p^55*q^750+590184201* p^53*q^752+36703856*p^51*q^754+1047198*p^49*q^756+38480*p^47*q^758+108*p^45*q^ 760+120*p^84*q^720+149356*p^82*q^722+4645618*p^80*q^724+76143214*p^78*q^726+ 990289138*p^76*q^728+10921675432*p^74*q^730+99685621303*p^72*q^732+780179764042 *p^70*q^734+4774731532948*p^68*q^736+17457221136318*p^66*q^738+24138748231825*p ^64*q^740+10452896678526*p^62*q^742+1937143107186*p^60*q^744+238470883340*p^58* q^746+24516533971*p^56*q^748+2264861350*p^54*q^750+165912010*p^52*q^752+6553760 *p^50*q^754+249296*p^48*q^756+3452*p^46*q^758+8*p^87*q^716+24*p^85*q^718+7628*p ^83*q^720+1149976*p^81*q^722+13165724*p^79*q^724+300079292*p^77*q^726+ 3098078356*p^75*q^728+31654755422*p^73*q^730+269754028756*p^71*q^732+ 1915608906630*p^69*q^734+9622603999648*p^67*q^736+23441179676652*p^65*q^738+ 18461565074407*p^63*q^740+5044429911428*p^61*q^742+736681092367*p^59*q^744+ 82263336256*p^57*q^746+7975519290*p^55*q^748+674219796*p^53*q^750+42867326*p^51 *q^752+1248380*p^49*q^754+51640*p^47*q^756+738*p^45*q^758+368*p^86*q^716+122406 *p^82*q^720+5170350*p^80*q^722+63693162*p^78*q^724+904048174*p^76*q^726+ 9698392386*p^74*q^728+89259508142*p^72*q^730+700318061057*p^70*q^732+ 4366467045534*p^68*q^734+16452959934006*p^66*q^736+24226373300098*p^64*q^738+ 11044578027500*p^62*q^740+2125001739756*p^60*q^742+264845917246*p^58*q^744+ 27526487076*p^56*q^746+2566608041*p^54*q^748+190655414*p^52*q^750+8937410*p^50* q^752+262198*p^48*q^754+4880*p^46*q^756+2930*p^83*q^718+912310*p^81*q^720+ 12304218*p^79*q^722+257808146*p^77*q^724+2734721816*p^75*q^726+28198147742*p^73 *q^728+241831869104*p^71*q^730+1726524168022*p^69*q^732+8914142991038*p^67*q^ 734+22658445789457*p^65*q^736+19076401092980*p^63*q^738+5433402241406*p^61*q^ 740+816092025928*p^59*q^742+91620137385*p^57*q^744+8975799778*p^55*q^746+ 776413519*p^53*q^748+50846282*p^51*q^750+1379398*p^49*q^752+64884*p^47*q^754+ 552*p^45*q^756+224*p^86*q^714+384*p^84*q^716+87726*p^82*q^718+4420774*p^80*q^ 720+51423178*p^78*q^722+817616951*p^76*q^724+8559950494*p^74*q^726+79363029947* p^72*q^728+629908343770*p^70*q^730+3967172375215*p^68*q^732+15547043661594*p^66 *q^734+24129753741965*p^64*q^736+11698661158074*p^62*q^738+2319705925622*p^60*q ^740+294429475690*p^58*q^742+30813260623*p^56*q^744+2881665624*p^54*q^746+ 215692008*p^52*q^748+10965596*p^50*q^750+289004*p^48*q^752+7472*p^46*q^754+36*p ^44*q^756+1188*p^85*q^714+700*p^83*q^716+609322*p^81*q^718+13126496*p^79*q^720+ 216458072*p^77*q^722+2418598196*p^75*q^724+25151072672*p^73*q^726+216050202035* p^71*q^728+1562511552538*p^69*q^730+8206676942937*p^67*q^732+21968603629304*p^ 65*q^734+19556454005122*p^63*q^736+5862868650630*p^61*q^738+897720161384*p^59*q ^740+102215104410*p^57*q^742+10023258239*p^55*q^744+886786046*p^53*q^746+ 58511530*p^51*q^748+1777900*p^49*q^750+57006*p^47*q^752+344*p^45*q^754+16*p^86* q^712+56*p^84*q^714+38174*p^82*q^716+3920480*p^80*q^718+41108160*p^78*q^720+ 740106014*p^76*q^722+7553901642*p^74*q^724+70937817380*p^72*q^726+564983258748* p^70*q^728+3620611158616*p^68*q^730+14580713944986*p^66*q^732+24064472156890*p^ 64*q^734+12301537264533*p^62*q^736+2536818935956*p^60*q^738+326417552504*p^58*q ^740+34544696580*p^56*q^742+3235737403*p^54*q^744+249257570*p^52*q^746+13760850 *p^50*q^748+292774*p^48*q^750+13456*p^46*q^752+68*p^44*q^754+1964*p^85*q^712+ 2740*p^83*q^714+554638*p^81*q^716+13064286*p^79*q^718+186351744*p^77*q^720+ 2176987444*p^75*q^722+22392023554*p^73*q^724+193775472510*p^71*q^726+ 1407110920488*p^69*q^728+7578312848624*p^67*q^730+21099550448787*p^65*q^732+ 20084184795922*p^63*q^734+6292006326433*p^61*q^736+992506627150*p^59*q^738+ 113840564666*p^57*q^740+11301282748*p^55*q^742+1017308836*p^53*q^744+67959924*p ^51*q^746+2398576*p^49*q^748+72544*p^47*q^750+744*p^45*q^752+16*p^86*q^710+2164 *p^84*q^712+17718*p^82*q^714+2893286*p^80*q^716+36761780*p^78*q^718+645655660*p ^76*q^720+6632232048*p^74*q^722+63080889073*p^72*q^724+507321810198*p^70*q^726+ 3281446025936*p^68*q^728+13714540432604*p^66*q^730+23800600355706*p^64*q^732+ 12968961238464*p^62*q^734+2761931481567*p^60*q^736+362723743726*p^58*q^738+ 38578976504*p^56*q^740+3621720204*p^54*q^742+289108820*p^52*q^744+16151516*p^50 *q^746+324026*p^48*q^748+11658*p^46*q^750+12*p^44*q^752+524*p^85*q^710+1632*p^ 83*q^712+333994*p^81*q^714+12437546*p^79*q^716+150071232*p^77*q^718+1955455648* p^75*q^720+19924463270*p^73*q^722+172904830079*p^71*q^724+1271675804132*p^69*q^ 726+6958221496411*p^67*q^728+20340044589192*p^65*q^730+20456838572126*p^63*q^ 732+6762185056292*p^61*q^734+1090318833095*p^59*q^736+126761393692*p^57*q^738+ 12620741172*p^55*q^740+1146568152*p^53*q^742+75185997*p^51*q^744+3107908*p^49*q ^746+60476*p^47*q^748+1708*p^45*q^750+4*p^43*q^752+8116*p^84*q^710+13808*p^82*q ^712+2449836*p^80*q^714+35029968*p^78*q^716+574668284*p^76*q^718+5874004981*p^ 74*q^720+56496032940*p^72*q^722+454946676823*p^70*q^724+2988661414230*p^68*q^ 726+12802792114484*p^66*q^728+23589597587680*p^64*q^730+13557359238027*p^62*q^ 732+3013650962878*p^60*q^734+401289546353*p^58*q^736+43217359876*p^56*q^738+ 4076851921*p^54*q^740+338086286*p^52*q^742+20115937*p^50*q^744+442594*p^48*q^ 746+14512*p^46*q^748+40*p^44*q^750+368*p^85*q^708+2348*p^83*q^710+195446*p^81*q ^712+11031186*p^79*q^714+125456830*p^77*q^716+1752694234*p^75*q^718+17663029365 *p^73*q^720+154734667774*p^71*q^722+1143599824651*p^69*q^724+6402589135778*p^67 *q^726+19429509649350*p^65*q^728+20879552219994*p^63*q^730+7227920234384*p^61*q ^732+1202639633142*p^59*q^734+141239603394*p^57*q^736+14249521506*p^55*q^738+ 1291914368*p^53*q^740+88417044*p^51*q^742+3877326*p^49*q^744+67252*p^47*q^746+ 2444*p^45*q^748+5606*p^84*q^708+17580*p^82*q^710+1967678*p^80*q^712+33710326*p^ 78*q^714+491611934*p^76*q^716+5217740122*p^74*q^718+50220861647*p^72*q^720+ 408575438474*p^70*q^722+2704646215436*p^68*q^724+11985581405734*p^66*q^726+ 23180619877942*p^64*q^728+14220032287642*p^62*q^730+3269398356309*p^60*q^732+ 445558669530*p^58*q^734+48107281231*p^56*q^736+4555507028*p^54*q^738+391450960* p^52*q^740+22459238*p^50*q^742+563976*p^48*q^744+12564*p^46*q^746+112*p^44*q^ 748+44*p^85*q^706+18076*p^83*q^708+95724*p^81*q^710+8981398*p^79*q^712+ 105544378*p^77*q^714+1571477856*p^75*q^716+15616324948*p^73*q^718+138073223566* p^71*q^720+1032037693300*p^69*q^722+5860586586834*p^67*q^724+18617523595698*p^ 65*q^726+21137374876190*p^63*q^728+7738750422026*p^61*q^730+1318415737327*p^59* q^732+157181270388*p^57*q^734+15971372690*p^55*q^736+1453230718*p^53*q^738+ 102057366*p^51*q^740+4942884*p^49*q^742+72680*p^47*q^744+1720*p^45*q^746+3744*p ^84*q^706+5532*p^82*q^708+1332716*p^80*q^710+32697030*p^78*q^712+421276390*p^76 *q^714+4637353058*p^74*q^716+44988075086*p^72*q^718+365996296638*p^70*q^720+ 2459272413820*p^68*q^722+11146292890324*p^66*q^724+22818087260610*p^64*q^726+ 14787334820125*p^62*q^728+3555981764154*p^60*q^730+492247153681*p^58*q^732+ 53812671108*p^56*q^734+5100296426*p^54*q^736+447575554*p^52*q^738+25592047*p^50 *q^740+818022*p^48*q^742+13358*p^46*q^744+364*p^44*q^746+27256*p^83*q^706+ 112100*p^81*q^708+8207336*p^79*q^710+95440479*p^77*q^712+1406452642*p^75*q^714+ 13866474907*p^73*q^716+123529463200*p^71*q^718+927085438876*p^69*q^720+ 5378619541718*p^67*q^722+17683537459578*p^65*q^724+21430165315708*p^63*q^726+ 8236367664591*p^61*q^728+1451911403646*p^59*q^730+174844817778*p^57*q^732+ 17977368296*p^55*q^734+1646035556*p^53*q^736+123893220*p^51*q^738+6348010*p^49* q^740+81458*p^47*q^742+2584*p^45*q^744+4*p^43*q^746+1460*p^84*q^704+25060*p^82* q^706+786582*p^80*q^708+28432306*p^78*q^710+349273515*p^76*q^712+4125611086*p^ 74*q^714+39872947179*p^72*q^716+328198532028*p^70*q^718+2221556969144*p^68*q^ 720+10391632632052*p^66*q^722+22287011954806*p^64*q^724+15415910518940*p^62*q^ 726+3848150529145*p^60*q^728+545451239136*p^58*q^730+59896508450*p^56*q^732+ 5747512990*p^54*q^734+503659845*p^52*q^736+28613394*p^50*q^738+954362*p^48*q^ 740+13628*p^46*q^742+104*p^44*q^744+24*p^85*q^702+23116*p^83*q^704+58218*p^81*q ^706+6426564*p^79*q^708+88769358*p^77*q^710+1239570925*p^75*q^712+12302299120*p ^73*q^714+110257804400*p^71*q^716+836220255156*p^69*q^718+4909334026712*p^67*q^ 720+16856626684194*p^65*q^722+21551859177197*p^63*q^724+8778345528140*p^61*q^ 726+1587660723232*p^59*q^728+194481193422*p^57*q^730+20085321306*p^55*q^732+ 1823845688*p^53*q^734+145741898*p^51*q^736+7177778*p^49*q^738+141426*p^47*q^740 +1668*p^45*q^742+24*p^43*q^744+104*p^84*q^702+69708*p^82*q^704+594554*p^80*q^ 706+26591912*p^78*q^708+297726398*p^76*q^710+3709691364*p^74*q^712+35590821646* p^72*q^714+293783196402*p^70*q^716+2016057548296*p^68*q^718+9623415385815*p^66* q^720+21805023621014*p^64*q^722+15944693154903*p^62*q^724+4171013469662*p^60*q^ 726+602203168980*p^58*q^728+67005008352*p^56*q^730+6475953245*p^54*q^732+ 580407030*p^52*q^734+34622040*p^50*q^736+1452842*p^48*q^738+9744*p^46*q^740+372 *p^44*q^742+16404*p^83*q^702+49180*p^81*q^704+4736208*p^79*q^706+80439860*p^77* q^708+1084297186*p^75*q^710+10876556742*p^73*q^712+98692655290*p^71*q^714+ 750514404667*p^69*q^716+4494802494124*p^67*q^718+15925613521471*p^65*q^720+ 21712811892462*p^63*q^722+9299199114684*p^61*q^724+1743338517966*p^59*q^726+ 215922056616*p^57*q^728+22502181130*p^55*q^730+2044530096*p^53*q^732+167500428* p^51*q^734+7920166*p^49*q^736+165304*p^47*q^738+3004*p^45*q^740+4*p^43*q^742+ 500*p^84*q^700+88532*p^82*q^702+457988*p^80*q^704+23438054*p^78*q^706+261652983 *p^76*q^708+3311667394*p^74*q^710+31610349625*p^72*q^712+263288769928*p^70*q^ 714+1818465116250*p^68*q^716+8937955887186*p^66*q^718+21152562682370*p^64*q^720 +16530698163986*p^62*q^722+4498741101692*p^60*q^724+666509553004*p^58*q^726+ 74619637089*p^56*q^728+7326072684*p^54*q^730+654712685*p^52*q^732+43081606*p^50 *q^734+1827911*p^48*q^736+16350*p^46*q^738+104*p^44*q^740+3712*p^83*q^700+ 113394*p^81*q^702+3168980*p^79*q^704+74093090*p^77*q^706+918673201*p^75*q^708+ 9660547784*p^73*q^710+87831228590*p^71*q^712+675818020524*p^69*q^714+ 4092789558287*p^67*q^716+15102103627030*p^65*q^718+21694149112907*p^63*q^720+ 9867826887224*p^61*q^722+1902353039508*p^59*q^724+239974080452*p^57*q^726+ 25077769484*p^55*q^728+2278258060*p^53*q^730+192028767*p^51*q^732+8547448*p^49* q^734+237886*p^47*q^736+876*p^45*q^738+24*p^43*q^740+48*p^84*q^698+93594*p^82*q ^700+271974*p^80*q^702+19904204*p^78*q^704+230518930*p^76*q^706+2982654813*p^74 *q^708+28203708746*p^72*q^710+235766663054*p^70*q^712+1648607477670*p^68*q^714+ 8248827713309*p^66*q^716+20573442487552*p^64*q^718+16985127080187*p^62*q^720+ 4860188582508*p^60*q^722+734103346301*p^58*q^724+83272099394*p^56*q^726+ 8244990363*p^54*q^728+733615044*p^52*q^730+51403501*p^50*q^732+2217890*p^48*q^ 734+29520*p^46*q^736+472*p^44*q^738+4796*p^83*q^698+208138*p^81*q^700+2600806*p ^79*q^702+69604238*p^77*q^704+801872398*p^75*q^706+8593796827*p^73*q^708+ 78552375884*p^71*q^710+606101878613*p^69*q^712+3736895230806*p^67*q^714+ 14197004734136*p^65*q^716+21712647202644*p^63*q^718+10403110507883*p^61*q^720+ 2084295010292*p^59*q^722+266265527136*p^57*q^724+28183813510*p^55*q^726+ 2576723183*p^53*q^728+226050536*p^51*q^730+11267028*p^49*q^732+365004*p^47*q^ 734+1008*p^45*q^736+4*p^43*q^738+45368*p^82*q^698+260620*p^80*q^700+14964042*p^ 78*q^702+202867216*p^76*q^704+2612159440*p^74*q^706+24941936895*p^72*q^708+ 211004114898*p^70*q^710+1484589242795*p^68*q^712+7632183121436*p^66*q^714+ 19840914408679*p^64*q^716+17509031178394*p^62*q^718+5221583600983*p^60*q^720+ 810909141372*p^58*q^722+92634201122*p^56*q^724+9237568252*p^54*q^726+813120362* p^52*q^728+59434732*p^50*q^730+2028452*p^48*q^732+28058*p^46*q^734+40*p^44*q^ 736+1704*p^83*q^696+310228*p^81*q^698+1691410*p^79*q^700+63128408*p^77*q^702+ 692435061*p^75*q^704+7699593936*p^73*q^706+69999054632*p^71*q^708+545628120492* p^69*q^710+3396496502863*p^67*q^712+13396348133704*p^65*q^714+21551329738086*p^ 63*q^716+10984620852568*p^61*q^718+2267865579223*p^59*q^720+295732159490*p^57*q ^722+31340664267*p^55*q^724+2916943538*p^53*q^726+256513018*p^51*q^728+13801876 *p^49*q^730+547092*p^47*q^732+4260*p^45*q^734+32*p^43*q^736+31758*p^82*q^696+ 361940*p^80*q^698+11917892*p^78*q^700+188289982*p^76*q^702+2302226731*p^74*q^ 704+22210989782*p^72*q^706+188712568509*p^70*q^708+1343337099676*p^68*q^710+ 7020705137100*p^66*q^712+19172739347724*p^64*q^714+17886203772379*p^62*q^716+ 5621831641072*p^60*q^718+891949742060*p^58*q^720+103370916308*p^56*q^722+ 10403163760*p^54*q^724+905622060*p^52*q^726+71144153*p^50*q^728+2581648*p^48*q^ 730+51716*p^46*q^732+28*p^44*q^734+180*p^83*q^694+265716*p^81*q^696+1321904*p^ 79*q^698+55059238*p^77*q^700+598024406*p^75*q^702+6878612938*p^73*q^704+ 62570388006*p^71*q^706+488775586143*p^69*q^708+3095681981502*p^67*q^710+ 12536986089293*p^65*q^712+21429861034612*p^63*q^714+11520380660043*p^61*q^716+ 2477654967314*p^59*q^718+327436418440*p^57*q^720+35104680060*p^55*q^722+ 3290651040*p^53*q^724+292831154*p^51*q^726+17017408*p^49*q^728+538550*p^47*q^ 730+3402*p^45*q^732+24*p^84*q^692+21700*p^82*q^694+651956*p^80*q^696+8874180*p^ 78*q^698+171993026*p^76*q^700+2016488058*p^74*q^702+19678164673*p^72*q^704+ 168805149310*p^70*q^706+1208660513981*p^68*q^708+6473768002020*p^66*q^710+ 18384372521735*p^64*q^712+18312320363802*p^62*q^714+6018012513688*p^60*q^716+ 983613974422*p^58*q^718+114964433057*p^56*q^720+11662773910*p^54*q^722+ 1014288861*p^52*q^724+83323742*p^50*q^726+3198026*p^48*q^728+93596*p^46*q^730+ 340*p^44*q^732+112*p^83*q^692+175118*p^81*q^694+975076*p^79*q^696+45241262*p^77 *q^698+522606638*p^75*q^700+6113592350*p^73*q^702+55620493186*p^71*q^704+ 439582568306*p^69*q^706+2806212972705*p^67*q^708+11776171903274*p^65*q^710+ 21136703814739*p^63*q^712+12103439343460*p^61*q^714+2689123151257*p^59*q^716+ 363134479522*p^57*q^718+39074149125*p^55*q^720+3720133528*p^53*q^722+323291148* p^51*q^724+20165630*p^49*q^726+509036*p^47*q^728+4776*p^45*q^730+5016*p^82*q^ 692+867098*p^80*q^694+6761174*p^78*q^696+160287470*p^76*q^698+1759488694*p^74*q ^700+17597132906*p^72*q^702+150945199539*p^70*q^704+1092698254694*p^68*q^706+ 5936917516370*p^66*q^708+17666944379598*p^64*q^710+18592383547560*p^62*q^712+ 6450388938976*p^60*q^714+1079113950589*p^58*q^716+128208268532*p^56*q^718+ 13044506227*p^54*q^720+1137785802*p^52*q^722+99125558*p^50*q^724+4201726*p^48*q ^726+145494*p^46*q^728+546*p^44*q^730+424*p^83*q^690+151020*p^81*q^692+1233214* p^79*q^694+37295886*p^77*q^696+468715640*p^75*q^698+5446971878*p^73*q^700+ 49636427210*p^71*q^702+393646057411*p^69*q^704+2552559396072*p^67*q^706+ 10968839830326*p^65*q^708+20880459294396*p^63*q^710+12628000059265*p^61*q^712+ 2929112088078*p^59*q^714+401960682888*p^57*q^716+43769455510*p^55*q^718+ 4223622552*p^53*q^720+364906116*p^51*q^722+24272858*p^49*q^724+679614*p^47*q^ 726+8934*p^45*q^728+8*p^43*q^730+3096*p^82*q^690+733090*p^80*q^692+4859064*p^78 *q^694+141981152*p^76*q^696+1519727242*p^74*q^698+15601933811*p^72*q^700+ 134962729346*p^70*q^702+981492896156*p^68*q^704+5459834391602*p^66*q^706+ 16837856563554*p^64*q^708+18922629052494*p^62*q^710+6877768062788*p^60*q^712+ 1187506927840*p^58*q^714+142226532778*p^56*q^716+14578821012*p^54*q^718+ 1279151173*p^52*q^720+112392508*p^50*q^722+5244529*p^48*q^724+96928*p^46*q^726+ 212*p^44*q^728+2*p^87*q^684+88*p^83*q^688+62964*p^81*q^690+1829940*p^79*q^692+ 29027262*p^77*q^694+422252979*p^75*q^696+4820531032*p^73*q^698+44132142994*p^71 *q^700+353466576860*p^69*q^702+2311073207565*p^67*q^704+10258484835458*p^65*q^ 706+20457156749623*p^63*q^708+13194280577286*p^61*q^710+3170259843567*p^59*q^ 712+445057676672*p^57*q^714+48741652931*p^55*q^716+4756991160*p^53*q^718+ 400166428*p^51*q^720+29659054*p^49*q^722+818952*p^47*q^724+28464*p^45*q^726+68* p^43*q^728+3344*p^82*q^688+688012*p^80*q^690+3879230*p^78*q^692+125100152*p^76* q^694+1331208346*p^74*q^696+13980397724*p^72*q^698+120504189566*p^70*q^700+ 886597107148*p^68*q^702+4992038037089*p^66*q^704+16096815014822*p^64*q^706+ 19079833414178*p^62*q^708+7343811036052*p^60*q^710+1300091907909*p^58*q^712+ 158506367152*p^56*q^714+16294550726*p^54*q^716+1460074264*p^52*q^718+129405643* p^50*q^720+6288022*p^48*q^722+130042*p^46*q^724+380*p^44*q^726+38216*p^81*q^688 +2087514*p^79*q^690+23175182*p^77*q^692+388239904*p^75*q^694+4253074269*p^73*q^ 696+39342213084*p^71*q^698+316480885294*p^69*q^700+2097550950944*p^67*q^702+ 9519541434893*p^65*q^704+20082250164138*p^63*q^706+13684438065125*p^61*q^708+ 3442547183920*p^59*q^710+491804696180*p^57*q^712+54551064472*p^55*q^714+ 5356411204*p^53*q^716+443286776*p^51*q^718+36058416*p^49*q^720+1222580*p^47*q^ 722+23012*p^45*q^724+34*p^86*q^682+2264*p^82*q^686+446836*p^80*q^688+4060762*p^ 78*q^690+104183442*p^76*q^692+1162665786*p^74*q^694+12407164438*p^72*q^696+ 107725575418*p^70*q^698+795436115265*p^68*q^700+4576983931164*p^66*q^702+ 15259242839281*p^64*q^704+19298516772144*p^62*q^706+7793691751267*p^60*q^708+ 1427474512820*p^58*q^710+175783310803*p^56*q^712+18221358246*p^54*q^714+ 1657135497*p^52*q^716+146777960*p^50*q^718+7657090*p^48*q^720+131452*p^46*q^722 +3032*p^44*q^724+4*p^42*q^726+22760*p^81*q^686+2211712*p^79*q^688+16880698*p^77 *q^690+351948768*p^75*q^692+3723616536*p^73*q^694+34981289992*p^71*q^696+ 283913445572*p^69*q^698+1895968591718*p^67*q^700+8865504362914*p^65*q^702+ 19556231579336*p^63*q^704+14221353961076*p^61*q^706+3712517554625*p^59*q^708+ 543966678960*p^57*q^710+60659055009*p^55*q^712+5989083338*p^53*q^714+492326383* p^51*q^716+41236846*p^49*q^718+1441988*p^47*q^720+18412*p^45*q^722+4*p^43*q^724 +296*p^82*q^684+282360*p^80*q^686+4517130*p^78*q^688+88565342*p^76*q^690+ 1035625656*p^74*q^692+11108219236*p^72*q^694+96177224165*p^70*q^696+ 717779440398*p^68*q^698+4175346796162*p^66*q^700+14504105845668*p^64*q^702+ 19336463495407*p^62*q^704+8285412133946*p^60*q^706+1559107280006*p^58*q^708+ 195618676926*p^56*q^710+20378767523*p^54*q^712+1903213374*p^52*q^714+160709324* p^50*q^716+10161568*p^48*q^718+228365*p^46*q^720+5218*p^44*q^722+244*p^85*q^680 +21812*p^81*q^684+1971098*p^79*q^686+14575828*p^77*q^688+314159140*p^75*q^690+ 3268715202*p^73*q^692+31215200032*p^71*q^694+253792229718*p^69*q^696+ 1718535247436*p^67*q^698+8195435964300*p^65*q^700+19073003196346*p^63*q^702+ 14666078284606*p^61*q^704+4018769328502*p^59*q^706+599836032365*p^57*q^708+ 67849112964*p^55*q^710+6718220978*p^53*q^712+554415340*p^51*q^714+50954509*p^49 *q^716+1782162*p^47*q^718+21630*p^45*q^720+120*p^43*q^722+104*p^82*q^682+174898 *p^80*q^684+5286278*p^78*q^686+69081882*p^76*q^688+930488264*p^74*q^690+ 9826735753*p^72*q^692+85811519452*p^70*q^694+643714791379*p^68*q^696+ 3818478813772*p^66*q^698+13681629563860*p^64*q^700+19423159275202*p^62*q^702+ 8754369536849*p^60*q^704+1708031776834*p^58*q^706+216675021412*p^56*q^708+ 22796681924*p^54*q^710+2147284574*p^52*q^712+176454074*p^50*q^714+11524435*p^48 *q^716+288714*p^46*q^718+1604*p^44*q^720+68*p^85*q^678+24*p^83*q^680+8520*p^81* q^682+1423636*p^79*q^684+12049198*p^77*q^686+276494542*p^75*q^688+2855048730*p^ 73*q^690+27767510599*p^71*q^692+227704386638*p^69*q^694+1550291605172*p^67*q^ 696+7604970241912*p^65*q^698+18460759709481*p^63*q^700+15146745074118*p^61*q^ 702+4320592587041*p^59*q^704+662028717728*p^57*q^706+75422044008*p^55*q^708+ 7500169538*p^53*q^710+632367711*p^51*q^712+57509760*p^49*q^714+2383040*p^47*q^ 716+30454*p^45*q^718+730*p^43*q^720+962*p^84*q^678+128900*p^80*q^682+5831844*p^ 78*q^684+57285166*p^76*q^686+841711390*p^74*q^688+8743027606*p^72*q^690+ 76586346640*p^70*q^692+579972667070*p^68*q^694+3475272701039*p^66*q^696+ 12942668595148*p^64*q^698+19336835842254*p^62*q^700+9260735217456*p^60*q^702+ 1860646408163*p^58*q^704+241157098294*p^56*q^706+25457714586*p^54*q^708+ 2431771798*p^52*q^710+191389938*p^50*q^712+14980618*p^48*q^714+376936*p^46*q^ 716+3552*p^44*q^718+2968*p^81*q^680+1077408*p^79*q^682+12016212*p^77*q^684+ 237001742*p^75*q^686+2515485233*p^73*q^688+24820160942*p^71*q^690+203431764197* p^69*q^692+1403439401606*p^67*q^694+7003948042566*p^65*q^696+17896379226600*p^ 63*q^698+15528701598504*p^61*q^700+4657782874108*p^59*q^702+729107983043*p^57*q ^704+84105430438*p^55*q^706+8417479955*p^53*q^708+733155058*p^51*q^710+65671876 *p^49*q^712+2882520*p^47*q^714+48736*p^45*q^716+88*p^43*q^718+962*p^84*q^676+ 408*p^82*q^678+94980*p^80*q^680+5120266*p^78*q^682+46014302*p^76*q^684+ 758009362*p^74*q^686+7694277842*p^72*q^688+68302425784*p^70*q^690+519538937072* p^68*q^692+3171088303686*p^66*q^694+12146003917650*p^64*q^696+19303062805942*p^ 62*q^698+9736158466308*p^60*q^700+2033402138280*p^58*q^702+266777399955*p^56*q^ 704+28547390144*p^54*q^706+2724100085*p^52*q^708+208872152*p^50*q^710+18473348* p^48*q^712+491252*p^46*q^714+2734*p^44*q^716+44*p^42*q^718+2270*p^83*q^676+656* p^81*q^678+670336*p^79*q^680+13386576*p^77*q^682+197396558*p^75*q^684+ 2224193960*p^73*q^686+22077479528*p^71*q^688+182286341804*p^69*q^690+ 1264618935698*p^67*q^692+6477129876072*p^65*q^694+17214118376835*p^63*q^696+ 15944062309540*p^61*q^698+4990878433341*p^59*q^700+802899312050*p^57*q^702+ 93405829386*p^55*q^704+9374036208*p^53*q^706+836415422*p^51*q^708+71584260*p^49 *q^710+3526615*p^47*q^712+62036*p^45*q^714+406*p^43*q^716+64*p^84*q^674+60*p^82 *q^676+41424*p^80*q^678+4528396*p^78*q^680+37136104*p^76*q^682+680798080*p^74*q ^684+6805893342*p^72*q^686+60892726577*p^70*q^688+467815276770*p^68*q^690+ 2879886498202*p^66*q^692+11436839699052*p^64*q^694+19087862850512*p^62*q^696+ 10250194395474*p^60*q^698+2208608977375*p^58*q^700+296424667648*p^56*q^702+ 31858314698*p^54*q^704+3071988024*p^52*q^706+236466900*p^50*q^708+22107452*p^48 *q^710+620106*p^46*q^712+6536*p^44*q^714+4*p^42*q^716+5626*p^83*q^674+3036*p^81 *q^676+592298*p^79*q^678+13794936*p^77*q^680+169314936*p^75*q^682+1993308058*p^ 73*q^684+19710496360*p^71*q^686+162910325100*p^69*q^688+1143249694566*p^67*q^ 690+5946620081252*p^65*q^692+16591892155442*p^63*q^694+16235749678402*p^61*q^ 696+5361853265920*p^59*q^698+882405330192*p^57*q^700+104238843442*p^55*q^702+ 10534873600*p^53*q^704+960301466*p^51*q^706+77139326*p^49*q^708+5058636*p^47*q^ 710+104432*p^45*q^712+168*p^43*q^714+68*p^84*q^672+3270*p^82*q^674+17248*p^80*q ^676+3215468*p^78*q^678+33932710*p^76*q^680+591048016*p^74*q^682+5955062610*p^ 72*q^684+54290902574*p^70*q^686+418443347850*p^68*q^688+2621171276748*p^66*q^ 690+10685255907017*p^64*q^692+18931528771098*p^62*q^694+10721314573814*p^60*q^ 696+2406611606580*p^58*q^698+327615398225*p^56*q^700+35598566222*p^54*q^702+ 3420909738*p^52*q^704+270944926*p^50*q^706+25853124*p^48*q^708+672858*p^46*q^ 710+6432*p^44*q^712+22*p^42*q^714+1680*p^83*q^672+1720*p^81*q^674+363108*p^79*q ^676+13522006*p^77*q^678+135374267*p^75*q^680+1789461720*p^73*q^682+17498693002 *p^71*q^684+145886028700*p^69*q^686+1029180555901*p^67*q^688+5482904014814*p^65 *q^690+15868622709509*p^63*q^692+16572002872882*p^61*q^694+5718686818177*p^59*q ^696+970546550600*p^57*q^698+115554177490*p^55*q^700+11774759984*p^53*q^702+ 1085590894*p^51*q^704+81052122*p^49*q^706+6170144*p^47*q^708+110842*p^45*q^710+ 624*p^43*q^712+17622*p^82*q^672+15556*p^80*q^674+2628190*p^78*q^676+33391660*p^ 76*q^678+524524192*p^74*q^680+5280001114*p^72*q^682+48480000513*p^70*q^684+ 376412523436*p^68*q^686+2376366233352*p^66*q^688+10011291787802*p^64*q^690+ 18602923723589*p^62*q^692+11226231750912*p^60*q^694+2607717599931*p^58*q^696+ 363206462320*p^56*q^698+39717069155*p^54*q^700+3851896788*p^52*q^702+315522932* p^50*q^704+29467598*p^48*q^706+1109204*p^46*q^708+19786*p^44*q^710+8*p^42*q^712 +1068*p^83*q^670+2960*p^81*q^672+197460*p^79*q^674+11897276*p^77*q^676+ 112805508*p^75*q^678+1590610786*p^73*q^680+15543265200*p^71*q^682+130054566239* p^69*q^684+929120594744*p^67*q^686+5018844144790*p^65*q^688+15208507644806*p^63 *q^690+16770032111822*p^61*q^692+6121631003278*p^59*q^694+1063387978624*p^57*q^ 696+129013874548*p^55*q^698+13216301993*p^53*q^700+1228256832*p^51*q^702+ 88208336*p^49*q^704+8016272*p^47*q^706+108170*p^45*q^708+358*p^43*q^710+13986*p ^82*q^670+18508*p^80*q^672+2094444*p^78*q^674+33340792*p^76*q^676+446607626*p^ 74*q^678+4682731569*p^72*q^680+43235816978*p^70*q^682+336866112075*p^68*q^684+ 2159327299312*p^66*q^686+9315848398017*p^64*q^688+18323325821388*p^62*q^690+ 11678281379391*p^60*q^692+2832105704862*p^58*q^694+401081190834*p^56*q^696+ 44243218184*p^54*q^698+4287091294*p^52*q^700+364992654*p^50*q^702+32054673*p^48 *q^704+1427264*p^46*q^706+20304*p^44*q^708+32*p^42*q^710+154*p^83*q^668+32124*p ^81*q^670+102670*p^79*q^672+9602086*p^77*q^674+95219152*p^75*q^676+1427779416*p ^73*q^678+13699242297*p^71*q^680+116411562260*p^69*q^682+834751147621*p^67*q^ 684+4612441655648*p^65*q^686+14466810353415*p^63*q^688+17006954189396*p^61*q^ 690+6504725307581*p^59*q^692+1167613952056*p^57*q^694+142963193770*p^55*q^696+ 14840146638*p^53*q^698+1383871127*p^51*q^700+98917730*p^49*q^702+9504734*p^47*q ^704+178482*p^45*q^706+2242*p^43*q^708+8452*p^82*q^668+6132*p^80*q^670+1370758* p^78*q^672+32985876*p^76*q^674+379705320*p^74*q^676+4153001228*p^72*q^678+ 38613068887*p^70*q^680+302763640724*p^68*q^682+1954278113882*p^66*q^684+ 8696085039620*p^64*q^686+17895789708363*p^62*q^688+12157740490002*p^60*q^690+ 3058168104418*p^58*q^692+443710615306*p^56*q^694+49261170608*p^54*q^696+ 4783452408*p^52*q^698+417152422*p^50*q^700+32907792*p^48*q^702+2047934*p^46*q^ 704+13620*p^44*q^706+10*p^42*q^708+55858*p^81*q^668+117880*p^79*q^670+8564314*p ^77*q^672+87742584*p^75*q^674+1269881949*p^73*q^676+12204393202*p^71*q^678+ 103820196284*p^69*q^680+752902066310*p^67*q^682+4210321967028*p^65*q^684+ 13785502937884*p^63*q^686+17099953930353*p^61*q^688+6929995157854*p^59*q^690+ 1276953806151*p^57*q^692+159514753660*p^55*q^694+16630328564*p^53*q^696+ 1573872894*p^51*q^698+115604348*p^49*q^700+11975376*p^47*q^702+273348*p^45*q^ 704+4296*p^43*q^706+3774*p^82*q^666+37018*p^80*q^668+810662*p^78*q^670+29206776 *p^76*q^672+313639376*p^74*q^674+3685008684*p^72*q^676+34294178656*p^70*q^678+ 270442867808*p^68*q^680+1772730613620*p^66*q^682+8055582127143*p^64*q^684+ 17523195574778*p^62*q^686+12579161891074*p^60*q^688+3311717718270*p^58*q^690+ 489140482333*p^56*q^692+54886553792*p^54*q^694+5378208544*p^52*q^696+473019826* p^50*q^698+34172282*p^48*q^700+2476542*p^46*q^702+19810*p^44*q^704+94*p^42*q^ 706+60*p^83*q^664+44120*p^81*q^666+61580*p^79*q^668+6584434*p^77*q^670+82552696 *p^75*q^672+1117612728*p^73*q^674+10775983599*p^71*q^676+92955730580*p^69*q^678 +676281977503*p^67*q^680+3859926040380*p^65*q^682+13043692491445*p^63*q^684+ 17228575706744*p^61*q^686+7331258385524*p^59*q^688+1397660070166*p^57*q^690+ 176439837082*p^55*q^692+18588237810*p^53*q^694+1729471907*p^51*q^696+133449320* p^49*q^698+13162556*p^47*q^700+415032*p^45*q^702+980*p^43*q^704+224*p^82*q^664+ 123156*p^80*q^666+615920*p^78*q^668+27102010*p^76*q^670+267309670*p^74*q^672+ 3314604974*p^72*q^674+30549483676*p^70*q^676+242878842586*p^68*q^678+ 1601500843560*p^66*q^680+7491286542628*p^64*q^682+16998813948959*p^62*q^684+ 13024689794014*p^60*q^686+3565605575278*p^58*q^688+540639122546*p^56*q^690+ 61206989930*p^54*q^692+6053063402*p^52*q^694+553967108*p^50*q^696+37330630*p^48 *q^698+3371032*p^46*q^700+39824*p^44*q^702+656*p^42*q^704+33944*p^81*q^664+ 55456*p^79*q^666+4797306*p^77*q^668+76980844*p^75*q^670+971163543*p^73*q^672+ 9540525376*p^71*q^674+82873946526*p^69*q^676+609062338990*p^67*q^678+ 3515024060811*p^65*q^680+12368591166592*p^63*q^682+17206326129900*p^61*q^684+ 7775136286876*p^59*q^686+1524461192745*p^57*q^688+196431137162*p^55*q^690+ 20712818338*p^53*q^692+1943032220*p^51*q^694+151244897*p^49*q^696+13821082*p^47 *q^698+581332*p^45*q^700+1616*p^43*q^702+1076*p^82*q^662+149628*p^80*q^664+ 464792*p^78*q^666+23556260*p^76*q^668+234229034*p^74*q^670+2943796270*p^72*q^ 672+27199293908*p^70*q^674+216879253315*p^68*q^676+1450196928594*p^66*q^678+ 6915666827453*p^64*q^680+16542857086864*p^62*q^682+13389000967511*p^60*q^684+ 3848686838352*p^58*q^686+594991663948*p^56*q^688+68237573334*p^54*q^690+ 6824761910*p^52*q^692+624624992*p^50*q^694+42400844*p^48*q^696+4467944*p^46*q^ 698+60640*p^44*q^700+16*p^42*q^702+7576*p^81*q^662+170114*p^79*q^664+3210686*p^ 77*q^666+72023532*p^75*q^668+822082880*p^73*q^670+8458336721*p^71*q^672+ 73983266014*p^69*q^674+546327268330*p^67*q^676+3213877555744*p^65*q^678+ 11644690636271*p^63*q^680+17230223903088*p^61*q^682+8184996550933*p^59*q^684+ 1664929202824*p^57*q^686+217239359476*p^55*q^688+23106644680*p^53*q^690+ 2149059860*p^51*q^692+176669606*p^49*q^694+13881956*p^47*q^696+667484*p^45*q^ 698+3684*p^43*q^700+44*p^41*q^702+112*p^82*q^660+163792*p^80*q^662+285672*p^78* q^664+19795022*p^76*q^666+208094272*p^74*q^668+2651886642*p^72*q^670+ 24163218260*p^70*q^672+194829738118*p^68*q^674+1308744378566*p^66*q^676+ 6406271910952*p^64*q^678+15957027555303*p^62*q^680+13782326976402*p^60*q^682+ 4127233936302*p^58*q^684+656217849482*p^56*q^686+75905269800*p^54*q^688+ 7682204794*p^52*q^690+705549741*p^50*q^692+47276656*p^48*q^694+5313372*p^46*q^ 696+128488*p^44*q^698+112*p^42*q^700+8908*p^81*q^660+319404*p^79*q^662+2562670* p^77*q^664+67647688*p^75*q^666+712352802*p^73*q^668+7517888168*p^71*q^670+ 65979332382*p^69*q^672+491563130382*p^67*q^674+2920126793389*p^65*q^676+ 10984092565016*p^63*q^678+17095880336876*p^61*q^680+8640345012818*p^59*q^682+ 1811148945695*p^57*q^684+241578622546*p^55*q^686+25804205550*p^53*q^688+ 2428095360*p^51*q^690+208224533*p^49*q^692+15390754*p^47*q^694+1099218*p^45*q^ 696+5382*p^43*q^698+80706*p^80*q^660+289172*p^78*q^662+14890872*p^76*q^664+ 186234764*p^74*q^666+2312979588*p^72*q^668+21435197946*p^70*q^670+173685271971* p^68*q^672+1183311789656*p^66*q^674+5893803920687*p^64*q^676+15431135540254*p^ 62*q^678+14085642103657*p^60*q^680+4439646262970*p^58*q^682+720240943951*p^56*q ^684+84637836102*p^54*q^686+8583983890*p^52*q^688+780564890*p^50*q^690+52864187 *p^48*q^692+5476106*p^46*q^694+105235*p^44*q^696+156*p^42*q^698+3320*p^81*q^658 +476822*p^79*q^660+1727474*p^77*q^662+61074560*p^75*q^664+613559632*p^73*q^666+ 6718254137*p^71*q^668+58925317450*p^69*q^670+440817050478*p^67*q^672+ 2664253636148*p^65*q^674+10295476668057*p^63*q^676+17001887595898*p^61*q^678+ 9052249714278*p^59*q^680+1972807190076*p^57*q^682+266974409954*p^55*q^684+ 28734064890*p^53*q^686+2733527286*p^51*q^688+243377558*p^49*q^690+16150713*p^47 *q^692+1578842*p^45*q^694+22172*p^43*q^696+4*p^41*q^698+52200*p^80*q^658+480744 *p^78*q^660+11520838*p^76*q^662+173973788*p^74*q^664+2036627068*p^72*q^666+ 19007036698*p^70*q^668+155821935408*p^68*q^670+1065809663533*p^66*q^672+ 5443023204992*p^64*q^674+14796467469463*p^62*q^676+14407348358432*p^60*q^678+ 4744031897752*p^58*q^680+793018285104*p^56*q^682+94034753016*p^54*q^684+ 9651468118*p^52*q^686+866327219*p^50*q^688+61710176*p^48*q^690+6062086*p^46*q^ 692+183192*p^44*q^694+212*p^42*q^696+388*p^81*q^656+418794*p^79*q^658+1308362*p ^77*q^660+53457276*p^75*q^662+531402369*p^73*q^664+6007049272*p^71*q^666+ 52513776628*p^69*q^668+396244101038*p^67*q^670+2416391206441*p^65*q^672+ 9667509418108*p^63*q^674+16765326034225*p^61*q^676+9501739491828*p^59*q^678+ 2140339093739*p^57*q^680+296218956802*p^55*q^682+32070013723*p^53*q^684+ 3086915246*p^51*q^686+280041254*p^49*q^688+17114998*p^47*q^690+1906238*p^45*q^ 692+19688*p^43*q^694+52*p^82*q^654+37396*p^80*q^656+894812*p^78*q^658+8686470*p ^76*q^660+160293978*p^74*q^662+1769638168*p^72*q^664+16873218828*p^70*q^666+ 138834983387*p^68*q^668+962563153188*p^66*q^670+4989502833531*p^64*q^672+ 14228360032510*p^62*q^674+14629430306978*p^60*q^676+5082990627162*p^58*q^678+ 869032429914*p^56*q^680+104867637252*p^54*q^682+10759330027*p^52*q^684+ 968866302*p^50*q^686+73343748*p^48*q^688+6693478*p^46*q^690+323690*p^44*q^692+ 2236*p^42*q^694+284*p^81*q^654+262452*p^79*q^656+1019276*p^77*q^658+43183828*p^ 75*q^660+465343954*p^73*q^662+5322123800*p^71*q^664+46782276214*p^69*q^666+ 354908783282*p^67*q^668+2199705538626*p^65*q^670+9020103130581*p^63*q^672+ 16570890869966*p^61*q^674+9905901369548*p^59*q^676+2324176920558*p^57*q^678+ 326679737815*p^55*q^680+35729534790*p^53*q^682+3480584099*p^51*q^684+310623204* p^49*q^686+18190610*p^47*q^688+2050246*p^45*q^690+18840*p^43*q^692+8760*p^80*q^ 654+1234646*p^78*q^656+6604780*p^76*q^658+149899186*p^74*q^660+1546767354*p^72* q^662+15036083582*p^70*q^664+124564898588*p^68*q^666+866414731806*p^66*q^668+ 4594853743738*p^64*q^670+13564523402880*p^62*q^672+14872323477576*p^60*q^674+ 5408362642049*p^58*q^676+954130903078*p^56*q^678+116530398990*p^54*q^680+ 12021248814*p^52*q^682+1077317918*p^50*q^684+90957858*p^48*q^686+6673426*p^46*q ^688+512062*p^44*q^690+4298*p^42*q^692+776*p^81*q^652+231828*p^79*q^654+1420860 *p^77*q^656+35370506*p^75*q^658+418896148*p^73*q^660+4738126342*p^71*q^662+ 41594285952*p^69*q^664+318768254284*p^67*q^666+1990439409580*p^65*q^668+ 8433473563554*p^63*q^670+16227214505522*p^61*q^672+10345259945078*p^59*q^674+ 2514894574868*p^57*q^676+362291053340*p^55*q^678+39864971160*p^53*q^680+ 3954434466*p^51*q^682+355103469*p^49*q^684+19888850*p^47*q^686+2699920*p^45*q^ 688+44024*p^43*q^690+84*p^41*q^692+6002*p^80*q^652+1009070*p^78*q^654+4658756*p ^76*q^656+132730988*p^74*q^658+1329537720*p^72*q^660+13351259238*p^70*q^662+ 110949087914*p^68*q^664+781071679062*p^66*q^666+4201662250421*p^64*q^668+ 12972092316918*p^62*q^670+15004527369029*p^60*q^672+5771503807046*p^58*q^674+ 1042803011506*p^56*q^676+129555482602*p^54*q^678+13366653142*p^52*q^680+ 1207043518*p^50*q^682+103032158*p^48*q^684+6789368*p^46*q^686+562168*p^44*q^688 +880*p^42*q^690+116*p^81*q^650+97006*p^79*q^652+2339430*p^77*q^654+27726736*p^ 75*q^656+380048426*p^73*q^658+4175691467*p^71*q^660+37082783648*p^69*q^662+ 285189564172*p^67*q^664+1809374269682*p^65*q^666+7834833541809*p^63*q^668+ 15940151749702*p^61*q^670+10718883700055*p^59*q^672+2723467950264*p^57*q^674+ 398959526704*p^55*q^676+44519443354*p^53*q^678+4432485158*p^51*q^680+388174098* p^49*q^682+24943618*p^47*q^684+2806374*p^45*q^686+91752*p^43*q^688+650*p^41*q^ 690+5390*p^80*q^650+956684*p^78*q^652+3785620*p^76*q^654+115949518*p^74*q^656+ 1165561826*p^72*q^658+11925657714*p^70*q^660+99303990826*p^68*q^662+ 702500701620*p^66*q^664+3856144981684*p^64*q^666+12303560441454*p^62*q^668+ 15158024363482*p^60*q^670+6115532789277*p^58*q^672+1142794573184*p^56*q^674+ 143757862206*p^54*q^676+14942005750*p^52*q^678+1372976717*p^50*q^680+123685084* p^48*q^682+6250770*p^46*q^684+809352*p^44*q^686+3928*p^42*q^688+62046*p^79*q^ 650+2651404*p^77*q^652+21727388*p^75*q^654+350294077*p^73*q^656+3681599896*p^71 *q^658+32907425648*p^69*q^660+256130169174*p^67*q^662+1634509625094*p^65*q^664+ 7296630154720*p^63*q^666+15512563396707*p^61*q^668+11132829566974*p^59*q^670+ 2935832496615*p^57*q^672+441225555234*p^55*q^674+49669144844*p^53*q^676+ 4975757478*p^51*q^678+428060204*p^49*q^680+30048166*p^47*q^682+3120503*p^45*q^ 684+133188*p^43*q^686+4*p^84*q^644+3276*p^80*q^648+622944*p^78*q^650+4330342*p^ 76*q^652+96989794*p^74*q^654+1016812534*p^72*q^656+10599649446*p^70*q^658+ 88484666609*p^68*q^660+632459628796*p^66*q^662+3517229150955*p^64*q^664+ 11698133301056*p^62*q^666+15194102448377*p^60*q^668+6498069946230*p^58*q^670+ 1246176395232*p^56*q^672+159918738428*p^54*q^674+16608561062*p^52*q^676+ 1565082590*p^50*q^678+140958117*p^48*q^680+6482158*p^46*q^682+992205*p^44*q^684 +9140*p^42*q^686+44*p^40*q^688+34668*p^79*q^648+2811904*p^77*q^650+15837308*p^ 75*q^652+317831706*p^73*q^654+3212687745*p^71*q^656+29324268754*p^69*q^658+ 228808682513*p^67*q^660+1482823442858*p^65*q^662+6753685964600*p^63*q^664+ 15140947684734*p^61*q^666+11471717332278*p^59*q^668+3169490346000*p^57*q^670+ 485173533112*p^55*q^672+55345999050*p^53*q^674+5547891492*p^51*q^676+470670232* p^49*q^678+36432388*p^47*q^680+2822184*p^45*q^682+167631*p^43*q^684+180*p^41*q^ 686+440*p^80*q^646+401330*p^78*q^648+5178108*p^76*q^650+81333264*p^74*q^652+ 907499232*p^72*q^654+9446912604*p^70*q^656+79174517436*p^68*q^658+568212821025* p^66*q^660+3220960032624*p^64*q^662+11040964103603*p^62*q^664+15246990941002*p^ 60*q^666+6853374047114*p^58*q^668+1362259811758*p^56*q^670+177049930397*p^54*q^ 672+18601087150*p^52*q^674+1779602194*p^50*q^676+158058474*p^48*q^678+7640356*p ^46*q^680+1266542*p^44*q^682+24778*p^42*q^684+62*p^83*q^642+30908*p^79*q^646+ 2514344*p^77*q^648+13676906*p^75*q^650+284360622*p^73*q^652+2821316284*p^71*q^ 654+26091845450*p^69*q^656+205185155682*p^67*q^658+1337706485762*p^65*q^660+ 6264877495776*p^63*q^662+14646330125918*p^61*q^664+11840387040142*p^59*q^666+ 3405873118571*p^57*q^668+535531313298*p^55*q^670+61758612884*p^53*q^672+ 6203570630*p^51*q^674+529933642*p^49*q^676+45967746*p^47*q^678+2440956*p^45*q^ 680+254802*p^43*q^682+372*p^41*q^684+200*p^80*q^644+251788*p^78*q^646+6132820*p ^76*q^648+63596034*p^74*q^650+813938110*p^72*q^652+8362927762*p^70*q^654+ 70341543680*p^68*q^656+511327022146*p^66*q^658+2929042506357*p^64*q^660+ 10446459325964*p^62*q^662+15186696606470*p^60*q^664+7247109266470*p^58*q^666+ 1482071690072*p^56*q^668+196696122088*p^54*q^670+20725146331*p^52*q^672+ 2014257826*p^50*q^674+172906893*p^48*q^676+8895848*p^46*q^678+1394040*p^44*q^ 680+27618*p^42*q^682+16*p^83*q^640+46*p^81*q^642+11300*p^79*q^644+1826926*p^77* q^646+11920140*p^75*q^648+249055528*p^73*q^650+2453676503*p^71*q^652+ 23247337468*p^69*q^654+183375780078*p^67*q^656+1211357928202*p^65*q^658+ 5777964832875*p^63*q^660+14210426280750*p^61*q^662+12129835899135*p^59*q^664+ 3663482244164*p^57*q^666+587343955883*p^55*q^668+68763433082*p^53*q^670+ 6882032105*p^51*q^672+597201624*p^49*q^674+53436234*p^47*q^676+2183914*p^45*q^ 678+359911*p^43*q^680+2668*p^41*q^682+394*p^82*q^640+175040*p^78*q^644+6842432* p^76*q^646+52118270*p^74*q^648+741219540*p^72*q^650+7415311588*p^70*q^652+ 62958081302*p^68*q^654+458781117165*p^66*q^656+2677015188914*p^64*q^658+ 9808234984283*p^62*q^660+15142497625090*p^60*q^662+7607777879830*p^58*q^664+ 1615370921530*p^56*q^666+217695972296*p^54*q^668+23225072748*p^52*q^670+ 2274176325*p^50*q^672+189359034*p^48*q^674+12265312*p^46*q^676+1241538*p^44*q^ 678+44465*p^42*q^680+4682*p^79*q^642+1424720*p^77*q^644+12377604*p^75*q^646+ 213054234*p^73*q^648+2160828742*p^71*q^650+20693470409*p^69*q^652+164204805990* p^67*q^654+1091259930276*p^65*q^656+5341228642184*p^63*q^658+13660075014337*p^ 61*q^660+12447078259812*p^59*q^662+3922610780113*p^57*q^664+647289123456*p^55*q ^666+76546552187*p^53*q^668+7699769418*p^51*q^670+689568194*p^49*q^672+62991638 *p^47*q^674+2001552*p^45*q^676+549718*p^43*q^678+4800*p^41*q^680+344*p^82*q^638 +696*p^80*q^640+121186*p^78*q^642+5998172*p^76*q^644+41990676*p^74*q^646+ 664815292*p^72*q^648+6531398404*p^70*q^650+55915664239*p^68*q^652+412278830438* p^66*q^654+2429647360630*p^64*q^656+9237925306252*p^62*q^658+14979630519567*p^ 60*q^660+8004845769508*p^58*q^662+1753233899775*p^56*q^664+241257558074*p^54*q^ 666+25900096180*p^52*q^668+2546493054*p^50*q^670+203921926*p^48*q^672+15177560* p^46*q^674+1120018*p^44*q^676+64184*p^42*q^678+96*p^40*q^680+1322*p^81*q^638+ 988*p^79*q^640+863022*p^77*q^642+14328586*p^75*q^644+176976462*p^73*q^646+ 1908662576*p^71*q^648+18442506230*p^69*q^650+146596473373*p^67*q^652+ 986967215356*p^65*q^654+4909725908240*p^63*q^656+13176652844756*p^61*q^658+ 12666772291983*p^59*q^660+4205325642224*p^57*q^662+708486460952*p^55*q^664+ 85207459798*p^53*q^666+8548652048*p^51*q^668+785422864*p^49*q^670+70323520*p^47 *q^672+2584352*p^45*q^674+531854*p^43*q^676+4712*p^41*q^678+20*p^82*q^636+80*p^ 80*q^638+56096*p^78*q^640+5484842*p^76*q^642+34455364*p^74*q^644+598197002*p^72 *q^646+5752296659*p^70*q^648+49969273526*p^68*q^650+369592689095*p^66*q^652+ 2214519625090*p^64*q^654+8635974974493*p^62*q^656+14845407287852*p^60*q^658+ 8358148220845*p^58*q^660+1905595385830*p^56*q^662+266558460185*p^54*q^664+ 29030229718*p^52*q^666+2850755464*p^50*q^668+227849868*p^48*q^670+19366144*p^46 *q^672+696666*p^44*q^674+151666*p^42*q^676+704*p^40*q^678+2744*p^81*q^636+4708* p^79*q^638+734350*p^77*q^640+14748414*p^75*q^642+150210276*p^73*q^644+ 1710130532*p^71*q^646+16395715437*p^69*q^648+131327556082*p^67*q^650+ 888125952801*p^65*q^652+4523901975334*p^63*q^654+12596104637350*p^61*q^656+ 12917517443824*p^59*q^658+4483326167113*p^57*q^660+779099960636*p^55*q^662+ 94781921524*p^53*q^664+9577108752*p^51*q^666+900281386*p^49*q^668+78032240*p^47 *q^670+3556056*p^45*q^672+628562*p^43*q^674+6574*p^41*q^676+16*p^82*q^634+2512* p^80*q^636+23090*p^78*q^638+3880640*p^76*q^640+32550296*p^74*q^642+519434402*p^ 72*q^644+5036139060*p^70*q^646+44394784643*p^68*q^648+331613967008*p^66*q^650+ 2005612700271*p^64*q^652+8093800515260*p^62*q^654+14591225365840*p^60*q^656+ 8751972028856*p^58*q^658+2061724594828*p^56*q^660+295044532522*p^54*q^662+ 32341325202*p^52*q^664+3174377150*p^50*q^666+257475002*p^48*q^668+23048644*p^46 *q^670+534125*p^44*q^672+165614*p^42*q^674+236*p^40*q^676+752*p^81*q^634+2444*p ^79*q^636+447334*p^77*q^638+14949818*p^75*q^640+120472346*p^73*q^642+1530526756 *p^71*q^644+14580265148*p^69*q^646+117108606664*p^67*q^648+802291543498*p^65*q^ 650+4146767049751*p^63*q^652+12078137212360*p^61*q^654+13068506878860*p^59*q^ 656+4787253300526*p^57*q^658+851020849609*p^55*q^660+105382201054*p^53*q^662+ 10670289567*p^51*q^664+1020987330*p^49*q^666+81676408*p^47*q^668+4763716*p^45*q ^670+468204*p^43*q^672+26840*p^41*q^674+48*p^39*q^676+10926*p^80*q^634+21984*p^ 78*q^636+3131910*p^76*q^638+32430234*p^74*q^640+457797394*p^72*q^642+4449460185 *p^70*q^644+39696635620*p^68*q^646+297064313506*p^66*q^648+1824830197270*p^64*q ^650+7533972011228*p^62*q^652+14363776007790*p^60*q^654+9087549138014*p^58*q^ 656+2235455604804*p^56*q^658+325196811784*p^54*q^660+36193526698*p^52*q^662+ 3534215338*p^50*q^664+294915818*p^48*q^666+28091606*p^46*q^668+679960*p^44*q^ 670+234882*p^42*q^672+324*p^40*q^674+352*p^81*q^632+2898*p^79*q^634+243364*p^77 *q^636+13337248*p^75*q^638+100792082*p^73*q^640+1368311004*p^71*q^642+ 12899680224*p^69*q^644+104710838854*p^67*q^646+720896480158*p^65*q^648+ 3809960324346*p^63*q^650+11484790939277*p^61*q^652+13237579268206*p^59*q^654+ 5085398577720*p^57*q^656+933231614292*p^55*q^658+117077706939*p^53*q^660+ 11996208274*p^51*q^662+1157846828*p^49*q^664+89381188*p^47*q^666+6165228*p^45*q ^668+251104*p^43*q^670+39036*p^41*q^672+7958*p^80*q^632+25860*p^78*q^634+ 2436854*p^76*q^636+33345726*p^74*q^638+388526132*p^72*q^640+3937346310*p^70*q^ 642+35265910448*p^68*q^644+266500818978*p^66*q^646+1649628292074*p^64*q^648+ 7031852571672*p^62*q^650+14028503449723*p^60*q^652+9459906387246*p^58*q^654+ 2410977270526*p^56*q^656+359553785382*p^54*q^658+40299757995*p^52*q^660+ 3921466994*p^50*q^662+339905440*p^48*q^664+31637940*p^46*q^666+928396*p^44*q^ 668+278808*p^42*q^670+2584*p^40*q^672+56*p^81*q^630+24066*p^79*q^632+128220*p^ 77*q^634+10786374*p^75*q^636+85865814*p^73*q^638+1220892938*p^71*q^640+ 11393552550*p^69*q^642+93314100614*p^67*q^644+649996839946*p^65*q^646+ 3481053985902*p^63*q^648+10955793814944*p^61*q^650+13308082465416*p^59*q^652+ 5406683748232*p^57*q^654+1017640643692*p^55*q^656+130011206704*p^53*q^658+ 13391523116*p^51*q^660+1301569414*p^49*q^662+96257228*p^47*q^664+7761736*p^45*q ^666+155834*p^43*q^668+50722*p^41*q^670+3764*p^80*q^630+7364*p^78*q^632+1591916 *p^76*q^634+33987702*p^74*q^636+330105748*p^72*q^638+3488806285*p^70*q^640+ 31554897786*p^68*q^642+238577117989*p^66*q^644+1498670406450*p^64*q^646+ 6520392112857*p^62*q^648+13725020838368*p^60*q^650+9768662273256*p^58*q^652+ 2604109813490*p^56*q^654+395407889890*p^54*q^656+44993840234*p^52*q^658+ 4358445613*p^50*q^660+390530086*p^48*q^662+34252670*p^46*q^664+1392214*p^44*q^ 666+183188*p^42*q^668+7278*p^40*q^670+37904*p^79*q^630+156258*p^77*q^632+ 9513894*p^75*q^634+79683746*p^73*q^636+1086917278*p^71*q^638+10092425551*p^69*q ^640+83412191346*p^67*q^642+583342465346*p^65*q^644+3189533654752*p^63*q^646+ 10356214000966*p^61*q^648+13397805605110*p^59*q^650+5716787807713*p^57*q^652+ 1113769657260*p^55*q^654+144387721696*p^53*q^656+15083231770*p^51*q^658+ 1465695240*p^49*q^660+109976482*p^47*q^662+10419852*p^45*q^664+142212*p^43*q^ 666+105618*p^41*q^668+96*p^39*q^670+1692*p^80*q^628+33354*p^78*q^630+925000*p^ 76*q^632+30350888*p^74*q^634+272193734*p^72*q^636+3093897876*p^70*q^638+ 27921441971*p^68*q^640+213654342610*p^66*q^642+1352502955844*p^64*q^644+ 6061858865266*p^62*q^646+13322161146441*p^60*q^648+10112580974422*p^58*q^650+ 2801098235662*p^56*q^652+436041901608*p^54*q^654+50003256568*p^52*q^656+ 4863488504*p^50*q^658+447457208*p^48*q^660+35686388*p^46*q^662+1621720*p^44*q^ 664+107172*p^42*q^666+5470*p^40*q^668+16*p^81*q^626+25584*p^79*q^628+73792*p^77 *q^630+7285986*p^75*q^632+77642562*p^73*q^634+951908964*p^71*q^636+8925878470*p ^69*q^638+74381197548*p^67*q^640+525722962848*p^65*q^642+2907288864457*p^63*q^ 644+9829792161072*p^61*q^646+13373991662530*p^59*q^648+6051959287654*p^57*q^650 +1210500180560*p^55*q^652+160109391552*p^53*q^654+16828908006*p^51*q^656+ 1613533428*p^49*q^658+122776768*p^47*q^660+12411760*p^45*q^662+257445*p^43*q^ 664+96294*p^41*q^666+914*p^39*q^668+104*p^80*q^626+95044*p^78*q^628+745524*p^76 *q^630+28476978*p^74*q^632+231219858*p^72*q^634+2776962940*p^70*q^636+ 24913749510*p^68*q^638+191065672106*p^66*q^640+1226085531748*p^64*q^642+ 5599497506968*p^62*q^644+12954394215614*p^60*q^646+10380383679060*p^58*q^648+ 3016952443240*p^56*q^650+479166173427*p^54*q^652+55887448324*p^52*q^654+ 5449311393*p^50*q^656+523036170*p^48*q^658+39176980*p^46*q^660+2449590*p^44*q^ 662+32070*p^42*q^664+23742*p^40*q^666+17984*p^79*q^626+64438*p^77*q^628+5194180 *p^75*q^630+73288667*p^73*q^632+826520050*p^71*q^634+7860256614*p^69*q^636+ 66436049200*p^67*q^638+471321151615*p^65*q^640+2656987213360*p^63*q^642+ 9248743695740*p^61*q^644+13379639880952*p^59*q^646+6366435085693*p^57*q^648+ 1320982557816*p^55*q^650+177216845206*p^53*q^652+18853923460*p^51*q^654+ 1789124911*p^49*q^656+139457666*p^47*q^658+13650662*p^45*q^660+308224*p^43*q^ 662+82810*p^41*q^664+196*p^39*q^666+372*p^80*q^624+105308*p^78*q^626+544206*p^ 76*q^628+24719136*p^74*q^630+204813864*p^72*q^632+2468611122*p^70*q^634+ 22099567428*p^68*q^636+171074311690*p^66*q^638+1104914896689*p^64*q^640+ 5186551538610*p^62*q^642+12495904769835*p^60*q^644+10682142986786*p^58*q^646+ 3232639941537*p^56*q^648+527603916122*p^54*q^650+62152730738*p^52*q^652+ 6132535286*p^50*q^654+593067902*p^48*q^656+42129676*p^46*q^658+3494322*p^44*q^ 660+32432*p^42*q^662+31844*p^40*q^664+52*p^38*q^666+4136*p^79*q^624+148178*p^77 *q^626+3529638*p^75*q^628+70224372*p^73*q^630+695763748*p^71*q^632+6969727450*p ^69*q^634+59059550887*p^67*q^636+423923710298*p^65*q^638+2416287589144*p^63*q^ 640+8731013429358*p^61*q^642+13274387917283*p^59*q^644+6708978154680*p^57*q^646 +1432884849367*p^55*q^648+196365067938*p^53*q^650+20980272543*p^51*q^652+ 1973429622*p^49*q^654+163687778*p^47*q^656+14872986*p^45*q^658+388284*p^43*q^ 660+30352*p^41*q^662+2862*p^39*q^664+48*p^80*q^622+100795*p^78*q^624+334508*p^ 76*q^626+20635954*p^74*q^628+183723716*p^72*q^630+2213212654*p^70*q^632+ 19658182686*p^68*q^634+152990123659*p^66*q^636+1000566338078*p^64*q^638+ 4775405069989*p^62*q^640+12079981263188*p^60*q^642+10897453307054*p^58*q^644+ 3469238314988*p^56*q^646+577945839017*p^54*q^648+69260174238*p^52*q^650+ 6896976752*p^50*q^652+666309184*p^48*q^654+43762338*p^46*q^656+4465132*p^44*q^ 658+60896*p^42*q^660+39440*p^40*q^662+3876*p^79*q^622+255618*p^77*q^624+2854870 *p^75*q^626+66297880*p^73*q^628+602918608*p^71*q^630+6182242259*p^69*q^632+ 52793211642*p^67*q^634+379757267623*p^65*q^636+2202941249210*p^63*q^638+ 8177551979886*p^61*q^640+13186074543140*p^59*q^642+7023429870408*p^57*q^644+ 1559676360392*p^55*q^646+217144755637*p^53*q^648+23551358680*p^51*q^650+ 2192107204*p^49*q^652+197061926*p^47*q^654+17184408*p^45*q^656+685124*p^43*q^ 658+3650*p^41*q^660+6654*p^39*q^662+50120*p^78*q^622+306950*p^76*q^624+15350180 *p^74*q^626+167216344*p^72*q^628+1929443530*p^70*q^630+17344310322*p^68*q^632+ 136673975530*p^66*q^634+899883135751*p^64*q^636+4407567611322*p^62*q^638+ 11585321588823*p^60*q^640+11145734888828*p^58*q^642+3704459297291*p^56*q^644+ 634970678638*p^54*q^646+76999447784*p^52*q^648+7723217976*p^50*q^650+740113392* p^48*q^652+47622242*p^46*q^654+4932800*p^44*q^656+45962*p^42*q^658+27678*p^40*q ^660+132*p^38*q^662+1520*p^79*q^620+336394*p^77*q^622+1886242*p^75*q^624+ 60673010*p^73*q^626+518043045*p^71*q^628+5521563878*p^69*q^630+46968744432*p^67 *q^632+341561958420*p^65*q^634+1999018871244*p^63*q^636+7686763717462*p^61*q^ 638+13001397666096*p^59*q^640+7360626565526*p^57*q^642+1686667450499*p^55*q^644 +240187281906*p^53*q^646+26145346561*p^51*q^648+2454358836*p^49*q^650+228597088 *p^47*q^652+16957678*p^45*q^654+1083472*p^43*q^656+9220*p^41*q^658+10420*p^39*q ^660+27936*p^78*q^620+428850*p^76*q^622+12057950*p^74*q^624+158467566*p^72*q^ 626+1690496540*p^70*q^628+15410024864*p^68*q^630+122119983227*p^66*q^632+ 813363760708*p^64*q^634+4044681701612*p^62*q^636+11132869263256*p^60*q^638+ 11300527084107*p^58*q^640+3959998927808*p^56*q^642+694496472978*p^54*q^644+ 85757420504*p^52*q^646+8695915024*p^50*q^648+813026540*p^48*q^650+56360418*p^46 *q^652+6379290*p^44*q^654+88514*p^42*q^656+3336*p^40*q^658+872*p^38*q^660+160*p ^79*q^618+285756*p^77*q^620+1454292*p^75*q^622+52696978*p^73*q^624+451296708*p^ 71*q^626+4918777946*p^69*q^628+41915510706*p^67*q^630+305540412634*p^65*q^632+ 1819603733904*p^63*q^634+7164427840661*p^61*q^636+12837335835320*p^59*q^638+ 7666377713733*p^57*q^640+1830419538520*p^55*q^642+264975764044*p^53*q^644+ 29291495710*p^51*q^646+2749558733*p^49*q^648+268022454*p^47*q^650+16763594*p^45 *q^652+1353620*p^43*q^654+7152*p^41*q^656+15330*p^39*q^658+16*p^80*q^616+19424* p^78*q^618+716446*p^76*q^620+8939174*p^74*q^622+147847502*p^72*q^624+1466838676 *p^70*q^626+13606578624*p^68*q^628+109028991126*p^66*q^630+730981073807*p^64*q^ 632+3721057861310*p^62*q^634+10615241992558*p^60*q^636+11483763213222*p^58*q^ 638+4211967431860*p^56*q^640+761231824636*p^54*q^642+95193872693*p^52*q^644+ 9737414278*p^50*q^646+894419360*p^48*q^648+66902954*p^46*q^650+7223708*p^44*q^ 652+170816*p^42*q^654+716*p^40*q^656+1332*p^38*q^658+104*p^79*q^616+168012*p^77 *q^618+1028682*p^75*q^620+42717128*p^73*q^622+398665132*p^71*q^624+4359608276*p ^69*q^626+37197308862*p^67*q^628+274446461942*p^65*q^630+1647385574504*p^63*q^ 632+6706884353714*p^61*q^634+12570214809023*p^59*q^636+7994938231730*p^57*q^638 +1974601229577*p^55*q^640+292499279194*p^53*q^642+32567887979*p^51*q^644+ 3094778384*p^49*q^646+300346846*p^47*q^648+16539724*p^45*q^650+1725134*p^43*q^ 652+6460*p^41*q^654+3729*p^39*q^656+56*p^37*q^658+4544*p^78*q^616+909564*p^76*q ^618+6971586*p^74*q^620+140331516*p^72*q^622+1275574915*p^70*q^624+12140652474* p^68*q^626+97382152638*p^66*q^628+659864282654*p^64*q^630+3405676065141*p^62*q^ 632+10146258680096*p^60*q^634+11566258269329*p^58*q^636+4483889889758*p^56*q^ 638+830263099038*p^54*q^640+105958767282*p^52*q^642+10879238797*p^50*q^644+ 984006502*p^48*q^646+83713144*p^46*q^648+7547428*p^44*q^650+298760*p^42*q^652+ 1328*p^40*q^654+4933*p^38*q^656+296*p^79*q^614+137484*p^77*q^616+1317320*p^75*q ^618+34649916*p^73*q^620+360488210*p^71*q^622+3860187890*p^69*q^624+33112545110 *p^67*q^626+245344522965*p^65*q^628+1495726428674*p^63*q^630+6226076999569*p^61 *q^632+12334548016684*p^59*q^634+8276826841995*p^57*q^636+2137052607278*p^55*q^ 638+322431161538*p^53*q^640+36456480336*p^51*q^642+3507481846*p^49*q^644+ 339990470*p^47*q^646+17685142*p^45*q^648+2431464*p^43*q^650+15850*p^41*q^652+16 *p^39*q^654+56*p^37*q^656+2600*p^78*q^614+726780*p^76*q^616+4765374*p^74*q^618+ 124594912*p^72*q^620+1100801142*p^70*q^622+10741434833*p^68*q^624+86954706088*p ^66*q^626+592058340399*p^64*q^628+3124673781668*p^62*q^630+9622813379214*p^60*q ^632+11682190505118*p^58*q^634+4747017039540*p^56*q^636+907897260596*p^54*q^638 +117265927881*p^52*q^640+12150478384*p^50*q^642+1082663200*p^48*q^644+98919882* p^46*q^646+7063476*p^44*q^648+351154*p^42*q^650+168*p^40*q^652+2522*p^38*q^654+ 2*p^83*q^608+80*p^79*q^612+57058*p^77*q^614+1877844*p^75*q^616+27508224*p^73*q^ 618+332130566*p^71*q^620+3395842148*p^69*q^622+29375134682*p^67*q^624+ 219983416018*p^65*q^626+1352368498820*p^63*q^628+5800624374520*p^61*q^630+ 12005834729180*p^59*q^632+8584138237890*p^57*q^634+2297844924747*p^55*q^636+ 355326006196*p^53*q^638+40598970236*p^51*q^640+3954463970*p^49*q^642+371286438* p^47*q^644+21481590*p^45*q^646+2960656*p^43*q^648+43280*p^41*q^650+136*p^39*q^ 652+848*p^37*q^654+2516*p^78*q^612+638812*p^76*q^614+3809360*p^74*q^616+ 108661722*p^72*q^618+961579592*p^70*q^620+9594507360*p^68*q^622+77496860235*p^ 66*q^624+534098977964*p^64*q^626+2851186986386*p^62*q^628+9149548727696*p^60*q^ 630+11691690065934*p^58*q^632+5033459703580*p^56*q^634+987736412601*p^54*q^636+ 130318569032*p^52*q^638+13557888571*p^50*q^640+1215351114*p^48*q^642+117810548* p^46*q^644+6042872*p^44*q^646+555384*p^42*q^648+790*p^40*q^650+31596*p^77*q^612 +2052300*p^75*q^614+21476646*p^73*q^616+310157322*p^71*q^618+2984857730*p^69*q^ 620+26112488738*p^67*q^622+196709543653*p^65*q^624+1225682538656*p^63*q^626+ 5366178876810*p^61*q^628+11700529212890*p^59*q^630+8836452318722*p^57*q^632+ 2478492963020*p^55*q^634+390550336866*p^53*q^636+45394623484*p^51*q^638+ 4452157928*p^49*q^640+404877242*p^47*q^642+27391964*p^45*q^644+3422120*p^43*q^ 646+65780*p^41*q^648+1043*p^37*q^652+38*p^82*q^606+1880*p^78*q^610+407560*p^76* q^612+3977158*p^74*q^614+90859986*p^72*q^616+844208724*p^70*q^618+8477197314*p^ 68*q^620+69166933050*p^66*q^622+478361016705*p^64*q^624+2608893007368*p^62*q^ 626+8631428487112*p^60*q^628+11730485908586*p^58*q^630+5306504066621*p^56*q^632 +1077861812612*p^54*q^634+144203893172*p^52*q^636+15168663950*p^50*q^638+ 1367511308*p^48*q^640+137105496*p^46*q^642+5598316*p^44*q^644+799196*p^42*q^646 +2984*p^40*q^648+4*p^38*q^650+60*p^36*q^652+18852*p^77*q^610+2063270*p^75*q^612 +15440412*p^73*q^614+282862648*p^71*q^616+2598984524*p^69*q^618+23174850065*p^ 67*q^620+176088653104*p^65*q^622+1106180189428*p^63*q^624+4982050748046*p^61*q^ 626+11322147717752*p^59*q^628+9107842912980*p^57*q^630+2656312097529*p^55*q^632 +429550707070*p^53*q^634+50417029055*p^51*q^636+4973798084*p^49*q^638+436591270 *p^47*q^640+33341396*p^45*q^642+3034034*p^43*q^644+83752*p^41*q^646+12*p^39*q^ 648+236*p^78*q^608+237234*p^76*q^610+4308108*p^74*q^612+77084244*p^72*q^614+ 757887922*p^70*q^616+7564166154*p^68*q^618+61603313683*p^66*q^620+431152271292* p^64*q^622+2375016636764*p^62*q^624+8165802538326*p^60*q^626+11663942708005*p^ 58*q^628+5598182512282*p^56*q^630+1170085954386*p^54*q^632+159927756344*p^52*q^ 634+16938127262*p^50*q^636+1563557050*p^48*q^638+153932103*p^46*q^640+6498044*p ^44*q^642+1215268*p^42*q^644+10116*p^40*q^646+258*p^36*q^650+302*p^81*q^604+ 17988*p^77*q^608+1799298*p^75*q^610+13305222*p^73*q^612+253379278*p^71*q^614+ 2274558461*p^69*q^616+20621433126*p^67*q^618+157222555276*p^65*q^620+ 1000831228994*p^63*q^622+4590117103168*p^61*q^624+10970510758116*p^59*q^626+ 9320132478178*p^57*q^628+2855008466220*p^55*q^630+471191176246*p^53*q^632+ 56352767688*p^51*q^634+5590737542*p^49*q^636+476219880*p^47*q^638+43210182*p^45 *q^640+2578756*p^43*q^642+140630*p^41*q^644+56*p^39*q^646+96*p^78*q^606+147702* p^76*q^608+4849766*p^74*q^610+59279092*p^72*q^612+686359524*p^70*q^614+ 6654916695*p^68*q^616+54843335250*p^66*q^618+385880624684*p^64*q^620+ 2167681275216*p^62*q^622+7665510160466*p^60*q^624+11628383343166*p^58*q^626+ 5873368280964*p^56*q^628+1273330257662*p^54*q^630+176648039051*p^52*q^632+ 18940189848*p^50*q^634+1758581320*p^48*q^636+170397180*p^46*q^638+7610216*p^44* q^640+1343038*p^42*q^642+10396*p^40*q^644+68*p^81*q^602+16*p^79*q^604+6664*p^77 *q^606+1225154*p^75*q^608+10849058*p^73*q^610+224458054*p^71*q^612+1984450386*p ^69*q^614+18293592408*p^67*q^616+140816414738*p^65*q^618+901824728838*p^63*q^ 620+4246965593026*p^61*q^622+10549304420024*p^59*q^624+9550961964616*p^57*q^626 +3049478258172*p^55*q^628+516836658070*p^53*q^630+62565884540*p^51*q^632+ 6228147904*p^49*q^634+527893342*p^47*q^636+50827688*p^45*q^638+1967756*p^43*q^ 640+274876*p^41*q^642+820*p^39*q^644+35*p^35*q^648+1304*p^80*q^602+108060*p^76* q^606+5244862*p^74*q^608+49071496*p^72*q^610+626292172*p^70*q^612+5894988988*p^ 68*q^614+48851370699*p^66*q^616+347114400790*p^64*q^618+1968848943985*p^62*q^ 620+7218110572612*p^60*q^622+11484338484871*p^58*q^624+6167496901158*p^56*q^626 +1378365770285*p^54*q^628+195761317332*p^52*q^630+21149470192*p^50*q^632+ 2007430996*p^48*q^634+182602892*p^46*q^636+10799288*p^44*q^638+1391504*p^42*q^ 640+15370*p^40*q^642+2400*p^77*q^604+901722*p^75*q^606+10650116*p^73*q^608+ 190908438*p^71*q^610+1746357608*p^69*q^612+16284555188*p^67*q^614+125512245119* p^65*q^616+814785948802*p^63*q^618+3900459117370*p^61*q^620+10162044159370*p^59 *q^622+9710746838323*p^57*q^624+3265709910576*p^55*q^626+565917434010*p^53*q^ 628+69749570302*p^51*q^630+6975429394*p^49*q^632+593389008*p^47*q^634+61469252* p^45*q^636+1638396*p^43*q^638+410264*p^41*q^640+1448*p^39*q^642+1042*p^80*q^600 +280*p^78*q^602+74880*p^76*q^604+4436838*p^74*q^606+38855057*p^72*q^608+ 568488942*p^70*q^610+5171379974*p^68*q^612+43464256410*p^66*q^614+310504777740* p^64*q^616+1792825174864*p^62*q^618+6744948339412*p^60*q^620+11377423802508*p^ 58*q^622+6434137827776*p^56*q^624+1496357642874*p^54*q^626+215642324488*p^52*q^ 628+23681099250*p^50*q^630+2252734692*p^48*q^632+194875764*p^46*q^634+13692830* p^44*q^636+1190490*p^42*q^638+36236*p^40*q^640+20*p^38*q^642+2*p^34*q^646+3324* p^79*q^600+556*p^77*q^602+563596*p^75*q^604+11651684*p^73*q^606+159086160*p^71* q^608+1547891122*p^69*q^610+14430316743*p^67*q^612+112260095786*p^65*q^614+ 732968951987*p^63*q^616+3595908522966*p^61*q^618+9716490453345*p^59*q^620+ 9890178672978*p^57*q^622+3475307948698*p^55*q^624+619662930838*p^53*q^626+ 77369955990*p^51*q^628+7774609668*p^49*q^630+672959432*p^47*q^632+69789698*p^45 *q^634+2085504*p^43*q^636+495004*p^41*q^638+860*p^39*q^640+64*p^80*q^598+48*p^ 78*q^600+31968*p^76*q^602+3775630*p^74*q^604+31211122*p^72*q^606+512772324*p^70 *q^608+4555268398*p^68*q^610+38645646449*p^66*q^612+279001942584*p^64*q^614+ 1625313793586*p^62*q^616+6321987439260*p^60*q^618+11167768964658*p^58*q^620+ 6722323589460*p^56*q^622+1614634100951*p^54*q^624+238351323944*p^52*q^626+ 26441892896*p^50*q^628+2543059160*p^48*q^630+207342450*p^46*q^632+17587334*p^44 *q^634+676868*p^42*q^636+86224*p^40*q^638+144*p^38*q^640+6498*p^79*q^598+2148*p ^77*q^600+474344*p^75*q^602+11737624*p^73*q^604+134841364*p^71*q^606+1390614778 *p^69*q^608+12833584754*p^67*q^610+100124904490*p^65*q^612+661453501584*p^63*q^ 614+3292569227510*p^61*q^616+9305207931882*p^59*q^618+9989812863353*p^57*q^620+ 3707074299878*p^55*q^622+676739890658*p^53*q^624+86216801304*p^51*q^626+ 8697402707*p^49*q^628+775238984*p^47*q^630+78318858*p^45*q^632+3043690*p^43*q^ 634+641400*p^41*q^636+2388*p^39*q^638+60*p^80*q^596+5086*p^78*q^598+14008*p^76* q^600+2663084*p^74*q^602+28184636*p^72*q^604+446662580*p^70*q^606+3975963258*p^ 68*q^608+34343303842*p^66*q^610+249077078165*p^64*q^612+1476193698802*p^62*q^ 614+5882996182529*p^60*q^616+10987673715302*p^58*q^618+6978513176102*p^56*q^620 +1747934946206*p^54*q^622+262361998527*p^52*q^624+29562841932*p^50*q^626+ 2841183428*p^48*q^628+224505788*p^46*q^630+22048100*p^44*q^632+422606*p^42*q^ 634+106128*p^40*q^636+12*p^38*q^638+1724*p^79*q^596+1256*p^77*q^598+277424*p^75 *q^600+11174250*p^73*q^602+107254554*p^71*q^604+1254582014*p^69*q^606+ 11345625373*p^67*q^608+89469752136*p^65*q^610+594316827183*p^63*q^612+ 3027532544256*p^61*q^614+8849366050760*p^59*q^616+10111499458444*p^57*q^618+ 3927388556008*p^55*q^620+739455417002*p^53*q^622+95329172745*p^51*q^624+ 9707569540*p^49*q^626+879436921*p^47*q^628+82532214*p^45*q^630+3880056*p^43*q^ 632+487620*p^41*q^634+11644*p^39*q^636+4*p^37*q^638+21296*p^78*q^596+11444*p^76 *q^598+2124759*p^74*q^600+27339046*p^72*q^602+394382008*p^70*q^604+3516282666*p ^68*q^606+30581236832*p^66*q^608+223645911532*p^64*q^610+1335619759983*p^62*q^ 612+5489833076808*p^60*q^614+10719474893814*p^58*q^616+7245484571930*p^56*q^618 +1881774887290*p^54*q^620+289314051938*p^52*q^622+33031213431*p^50*q^624+ 3186663388*p^48*q^626+251108852*p^46*q^628+27315162*p^44*q^630+562842*p^42*q^ 632+199784*p^40*q^634+44*p^38*q^636+1004*p^79*q^594+4666*p^77*q^596+154698*p^75 *q^598+9651754*p^73*q^600+88926282*p^71*q^602+1122803382*p^69*q^604+10044169140 *p^67*q^606+79555895515*p^65*q^608+535554655000*p^63*q^610+2763225465592*p^61*q ^612+8430679370688*p^59*q^614+10148352815675*p^57*q^616+4173138122064*p^55*q^ 618+805246220872*p^53*q^620+106107586148*p^51*q^622+10887268337*p^49*q^624+ 1009034470*p^47*q^626+86571558*p^45*q^628+5426850*p^43*q^630+256928*p^41*q^632+ 15788*p^39*q^634+14786*p^78*q^594+13352*p^76*q^596+1612756*p^74*q^598+26826800* p^72*q^600+334114814*p^70*q^602+3106810592*p^68*q^604+27152949176*p^66*q^606+ 199738187329*p^64*q^608+1210989267014*p^62*q^610+5086969062637*p^60*q^612+ 10481329044732*p^58*q^614+7479932640165*p^56*q^616+2029379756718*p^54*q^618+ 317863152222*p^52*q^620+36840030342*p^50*q^622+3537549515*p^48*q^624+283846224* p^46*q^626+31859514*p^44*q^628+679062*p^42*q^630+245040*p^40*q^632+796*p^38*q^ 634+138*p^79*q^592+39690*p^77*q^594+77570*p^75*q^596+7678788*p^73*q^598+ 74262256*p^71*q^600+1010145338*p^69*q^602+8828701430*p^67*q^604+71052793646*p^ 65*q^606+480309182435*p^63*q^608+2533522432166*p^61*q^610+7973408579658*p^59*q^ 612+10206593037566*p^57*q^614+4402973863788*p^55*q^616+878149650368*p^53*q^618+ 117223534123*p^51*q^620+12213132262*p^49*q^622+1139651254*p^47*q^624+89248400*p ^45*q^626+7093168*p^43*q^628+125574*p^41*q^630+32464*p^39*q^632+8336*p^78*q^592 +5760*p^76*q^594+1048944*p^74*q^596+26130038*p^72*q^598+283784568*p^70*q^600+ 2762662020*p^68*q^602+24165363065*p^66*q^604+179095966394*p^64*q^606+ 1093962986545*p^62*q^608+4730223945852*p^60*q^610+10157921683776*p^58*q^612+ 7724577106020*p^56*q^614+2177625233081*p^54*q^616+349650373780*p^52*q^618+ 41023886091*p^50*q^620+3936462020*p^48*q^622+328510634*p^46*q^624+35321974*p^44 *q^626+1070680*p^42*q^628+194962*p^40*q^630+2008*p^38*q^632+59810*p^77*q^592+ 85576*p^75*q^594+6657282*p^73*q^596+67497654*p^71*q^598+896419548*p^69*q^600+ 7821075496*p^67*q^602+63161867505*p^65*q^604+432196965370*p^63*q^606+ 2306596936376*p^61*q^608+7556382895672*p^59*q^610+10175260643014*p^57*q^612+ 4655992043590*p^55*q^614+954347423315*p^53*q^616+130293552016*p^51*q^618+ 13713818775*p^49*q^620+1301687040*p^47*q^622+94097052*p^45*q^624+9710370*p^43*q ^626+103722*p^41*q^628+70188*p^39*q^630+16*p^37*q^632+3418*p^78*q^590+44354*p^ 76*q^592+607766*p^74*q^594+22692460*p^72*q^596+232147168*p^70*q^598+2456212993* p^68*q^600+21401443766*p^66*q^602+159641959308*p^64*q^604+990036856798*p^62*q^ 606+4366440401944*p^60*q^608+9874847795436*p^58*q^610+7922024857332*p^56*q^612+ 2342500092056*p^54*q^614+383250110782*p^52*q^616+45680532644*p^50*q^618+ 4390144757*p^48*q^620+375901032*p^46*q^622+37691800*p^44*q^624+1360546*p^42*q^ 626+94130*p^40*q^628+2212*p^38*q^630+52*p^79*q^588+44572*p^77*q^590+45166*p^75* q^592+4991950*p^73*q^594+63251910*p^71*q^596+790184804*p^69*q^598+6887305805*p^ 67*q^600+56366306420*p^65*q^602+387456621724*p^63*q^604+2108534493282*p^61*q^ 606+7112567649544*p^59*q^608+10168060041724*p^57*q^610+4888879350132*p^55*q^612 +1037609822770*p^53*q^614+143732834270*p^51*q^616+15379202442*p^49*q^618+ 1435479944*p^47*q^620+103150898*p^45*q^622+11894812*p^43*q^624+165844*p^41*q^ 626+84876*p^39*q^628+160*p^37*q^630+208*p^78*q^588+130380*p^76*q^590+448352*p^ 74*q^592+20834182*p^72*q^594+196155872*p^70*q^596+2208353786*p^68*q^598+ 18989001360*p^66*q^600+143051336408*p^64*q^602+892572660456*p^62*q^604+ 4044456766994*p^60*q^606+9514322936444*p^58*q^608+8135537848220*p^56*q^610+ 2504036826790*p^54*q^612+420997956480*p^52*q^614+50843507291*p^50*q^616+ 4925165562*p^48*q^618+444656264*p^46*q^620+37852264*p^44*q^622+2128226*p^42*q^ 624+23784*p^40*q^626+11276*p^38*q^628+31128*p^77*q^588+49736*p^75*q^590+3561584 *p^73*q^592+57824476*p^71*q^594+683486016*p^69*q^596+6081965964*p^67*q^598+ 50098506079*p^65*q^600+348188485976*p^63*q^602+1915426085975*p^61*q^604+ 6705877014924*p^59*q^606+10071640896715*p^57*q^608+5145242342944*p^55*q^610+ 1124299179726*p^53*q^612+159289612470*p^51*q^614+17199564818*p^49*q^616+ 1602338076*p^47*q^618+113805524*p^45*q^620+14535778*p^43*q^622+223444*p^41*q^ 624+73816*p^39*q^626+32*p^37*q^628+960*p^78*q^586+150268*p^76*q^588+338486*p^74 *q^590+17717912*p^72*q^592+171187810*p^70*q^594+1965690460*p^68*q^596+ 16837032924*p^66*q^598+127395293753*p^64*q^600+806465883110*p^62*q^602+ 3720591477509*p^60*q^604+9189307015876*p^58*q^606+8294733038332*p^56*q^608+ 2684474461066*p^54*q^610+460477133260*p^52*q^612+56664257200*p^50*q^614+ 5539108148*p^48*q^616+512505774*p^46*q^618+38581110*p^44*q^620+2980696*p^42*q^ 622+18152*p^40*q^624+19516*p^38*q^626+4*p^36*q^628+6800*p^77*q^586+170340*p^75* q^588+2321812*p^73*q^590+53556402*p^71*q^592+574792454*p^69*q^594+5375457640*p^ 67*q^596+44555747962*p^65*q^598+311595137227*p^63*q^600+1746983165770*p^61*q^ 602+6282039799809*p^59*q^604+9998660355908*p^57*q^606+5376181675352*p^55*q^608+ 1219879098708*p^53*q^610+175411772687*p^51*q^612+19190823064*p^49*q^614+ 1761825098*p^47*q^616+132607568*p^45*q^618+15722026*p^43*q^620+310742*p^41*q^ 622+21144*p^39*q^624+872*p^37*q^626+96*p^78*q^584+150700*p^76*q^586+202486*p^74 *q^588+14609530*p^72*q^590+150681237*p^70*q^592+1772728044*p^68*q^594+ 14915963801*p^66*q^596+114129826554*p^64*q^598+726337446501*p^62*q^600+ 3434993147164*p^60*q^602+8804824611305*p^58*q^604+8460829886752*p^56*q^606+ 2859830717703*p^54*q^608+504385791758*p^52*q^610+62899839522*p^50*q^612+ 6258065840*p^48*q^614+580587399*p^46*q^616+37812756*p^44*q^618+4178246*p^42*q^ 620+36746*p^40*q^622+31656*p^38*q^624+8104*p^77*q^584+307922*p^75*q^586+1854812 *p^73*q^588+49715750*p^71*q^590+495403168*p^69*q^592+4774563666*p^67*q^594+ 39595397823*p^65*q^596+279693100604*p^63*q^598+1582735037906*p^61*q^600+ 5895873191038*p^59*q^602+9838809737163*p^57*q^604+5628045957378*p^55*q^606+ 1318587255830*p^53*q^608+194176899018*p^51*q^610+21494013108*p^49*q^612+ 1966026394*p^47*q^614+161537928*p^45*q^616+17340500*p^43*q^618+554382*p^41*q^ 620+1956*p^39*q^622+2436*p^37*q^624+71150*p^76*q^584+236182*p^74*q^586+10686400 *p^72*q^588+132930864*p^70*q^590+1539982654*p^68*q^592+13167028380*p^66*q^594+ 101409000402*p^64*q^596+654962666220*p^62*q^598+3148986414891*p^60*q^600+ 8457210152322*p^58*q^602+8574141234627*p^56*q^604+3053626181726*p^54*q^606+ 550438607128*p^52*q^608+69957173278*p^50*q^610+7002131144*p^48*q^612+649251504* p^46*q^614+38532654*p^44*q^616+5124892*p^42*q^618+29610*p^40*q^620+18520*p^38*q ^622+16*p^36*q^624+2856*p^77*q^582+432448*p^75*q^584+1202310*p^73*q^586+ 44334316*p^71*q^588+425319658*p^69*q^590+4266489778*p^67*q^592+35261564052*p^65 *q^594+250288846468*p^63*q^596+1440687943482*p^61*q^598+5498614507369*p^59*q^ 600+9705735668268*p^57*q^602+5849138663167*p^55*q^604+1425821378348*p^53*q^606+ 213439212259*p^51*q^608+23960728706*p^49*q^610+2195407487*p^47*q^612+190553324* p^45*q^614+16614828*p^43*q^616+848572*p^41*q^618+5028*p^39*q^620+6716*p^37*q^ 622+47168*p^76*q^582+422248*p^74*q^584+8238998*p^72*q^586+123542978*p^70*q^588+ 1350394820*p^68*q^590+11637185007*p^66*q^592+90692207634*p^64*q^594+ 588605669692*p^62*q^596+2897727261986*p^60*q^598+8053753622426*p^58*q^600+ 8694253144392*p^56*q^602+3240686469027*p^54*q^604+602063910126*p^52*q^606+ 77635193308*p^50*q^608+7905325246*p^48*q^610+717800990*p^46*q^612+44618896*p^44 *q^614+6535264*p^42*q^616+72500*p^40*q^618+1876*p^38*q^620+172*p^36*q^622+308*p ^77*q^580+359010*p^75*q^582+914494*p^73*q^584+37978736*p^71*q^586+364111312*p^ 69*q^588+3812309406*p^67*q^590+31293843313*p^65*q^592+224329765382*p^63*q^594+ 1303344311781*p^61*q^596+5138699722942*p^59*q^598+9490373214883*p^57*q^600+ 6090613203498*p^55*q^602+1536808969628*p^53*q^604+235421571618*p^51*q^606+ 26732312425*p^49*q^608+2468265776*p^47*q^610+225002555*p^45*q^612+15071826*p^43 *q^614+1231212*p^41*q^616+3154*p^39*q^618+9072*p^37*q^620+44*p^78*q^578+32080*p ^76*q^580+772184*p^74*q^582+6043430*p^72*q^584+112331826*p^70*q^586+1170734667* p^68*q^588+10288867430*p^66*q^590+80551314253*p^64*q^592+530323184194*p^62*q^ 594+2647768480406*p^60*q^596+7692837980588*p^58*q^598+8748061443748*p^56*q^600+ 3446964519364*p^54*q^602+655383178763*p^52*q^604+86321040048*p^50*q^606+ 8859353038*p^48*q^608+791335274*p^46*q^610+52894958*p^44*q^612+7453484*p^42*q^ 614+123354*p^40*q^616+392*p^38*q^618+596*p^36*q^620+204*p^77*q^578+228120*p^75* q^580+757424*p^73*q^582+30342332*p^71*q^584+317536840*p^69*q^586+3371002409*p^ 67*q^588+27781570894*p^65*q^590+200407537153*p^63*q^592+1183026162582*p^61*q^ 594+4772785515955*p^59*q^596+9304456839978*p^57*q^598+6295205932779*p^55*q^600+ 1658077843982*p^53*q^602+258334598854*p^51*q^604+29790592274*p^49*q^606+ 2774279445*p^47*q^608+257378868*p^45*q^610+14076456*p^43*q^612+1674314*p^41*q^ 614+5418*p^39*q^616+1980*p^37*q^618+4*p^35*q^620+7236*p^76*q^578+1014476*p^74*q ^580+4488656*p^72*q^582+104150537*p^70*q^584+1016344046*p^68*q^586+9148676421*p ^66*q^588+71999996918*p^64*q^590+476166000725*p^62*q^592+2430151213548*p^60*q^ 594+7288560329205*p^58*q^596+8814339765178*p^56*q^598+3640528395373*p^54*q^600+ 714568954816*p^52*q^602+95541689214*p^50*q^604+9941465422*p^48*q^606+869149577* p^46*q^608+66161590*p^44*q^610+7311676*p^42*q^612+217808*p^40*q^614+544*p^38*q^ 616+2344*p^36*q^618+688*p^77*q^576+196116*p^75*q^578+1091290*p^73*q^580+ 24522534*p^71*q^582+282814524*p^69*q^584+2992478176*p^67*q^586+24601806600*p^65 *q^588+179462484412*p^63*q^590+1067989943251*p^61*q^592+4440299325636*p^59*q^ 594+9039370923259*p^57*q^596+6518969410634*p^55*q^598+1781586291698*p^53*q^600+ 284768862358*p^51*q^602+33254301220*p^49*q^604+3159445340*p^47*q^606+293035480* p^45*q^608+13977582*p^43*q^610+2484378*p^41*q^612+13450*p^39*q^614+8*p^37*q^616 +12*p^35*q^618+4538*p^76*q^576+827472*p^74*q^578+3176530*p^72*q^580+90834276*p^ 70*q^582+869132827*p^68*q^584+8108786848*p^66*q^586+63919877513*p^64*q^588+ 428109086430*p^62*q^590+2214885754068*p^60*q^592+6923860559862*p^58*q^594+ 8814747833694*p^56*q^596+3855544260012*p^54*q^598+776094320124*p^52*q^600+ 105884316072*p^50*q^602+11083983019*p^48*q^604+960430452*p^46*q^606+79763908*p^ 44*q^608+6825832*p^42*q^610+293220*p^40*q^612+144*p^38*q^614+1144*p^36*q^616+2* p^81*q^570+100*p^77*q^574+79898*p^75*q^576+1794790*p^73*q^578+18667262*p^71*q^ 580+254501470*p^69*q^582+2628597600*p^67*q^584+21826668852*p^65*q^586+ 160029119103*p^63*q^588+968065865376*p^61*q^590+4108002200249*p^59*q^592+ 8805328031972*p^57*q^594+6697345471936*p^55*q^596+1916353297200*p^53*q^598+ 311701504751*p^51*q^600+37076472568*p^49*q^602+3558310383*p^47*q^604+321749990* p^45*q^606+16353688*p^43*q^608+2833704*p^41*q^610+25478*p^39*q^612+68*p^37*q^ 614+288*p^35*q^616+4866*p^76*q^574+779620*p^74*q^576+2575790*p^72*q^578+ 78995518*p^70*q^580+757888622*p^68*q^582+7224580230*p^66*q^584+57034703652*p^64 *q^586+384091494922*p^62*q^588+2026530439742*p^60*q^590+6527974677980*p^58*q^ 592+8822580681198*p^56*q^594+4054823306163*p^54*q^596+844383217354*p^52*q^598+ 117014841095*p^50*q^600+12421067206*p^48*q^602+1076821829*p^46*q^604+97841018*p ^44*q^606+5368818*p^42*q^608+551768*p^40*q^610+1068*p^38*q^612+48010*p^75*q^574 +2029506*p^73*q^576+14542156*p^71*q^578+232064591*p^69*q^580+2307898648*p^67*q^ 582+19306677440*p^65*q^584+143234171856*p^63*q^586+871985225159*p^61*q^588+ 3808089341590*p^59*q^590+8503253214908*p^57*q^592+6891506849172*p^55*q^594+ 2052331808375*p^53*q^596+342545542032*p^51*q^598+41355380258*p^49*q^600+ 4026178966*p^47*q^602+351330894*p^45*q^604+20387866*p^43*q^606+3345704*p^41*q^ 608+41900*p^39*q^610+364*p^35*q^614+34*p^80*q^568+2756*p^76*q^572+499378*p^74*q ^574+2976050*p^72*q^576+64678132*p^70*q^578+655097090*p^68*q^580+6398090262*p^ 66*q^582+50598137944*p^64*q^584+344774190172*p^62*q^586+1842065900469*p^60*q^ 588+6169778484952*p^58*q^590+8766330655652*p^56*q^592+4274337519514*p^54*q^594+ 914828942423*p^52*q^596+129620900828*p^50*q^598+13839637022*p^48*q^600+ 1215470966*p^46*q^602+114182242*p^44*q^604+4617306*p^42*q^606+735862*p^40*q^608 +1560*p^38*q^610+4*p^36*q^612+12*p^34*q^614+29020*p^75*q^572+2146924*p^73*q^574 +10369162*p^71*q^576+209162136*p^69*q^578+2005695090*p^67*q^580+17150487266*p^ 65*q^582+127588681628*p^63*q^584+789022452046*p^61*q^586+3509457764231*p^59*q^ 588+8234408803682*p^57*q^590+7039464646739*p^55*q^592+2199063920802*p^53*q^594+ 374207874095*p^51*q^596+45975276968*p^49*q^598+4511828031*p^47*q^600+380179756* p^45*q^602+25991424*p^43*q^604+2921742*p^41*q^606+78066*p^39*q^608+40*p^37*q^ 610+336*p^76*q^570+311378*p^74*q^572+3644934*p^72*q^574+53751008*p^70*q^576+ 581434102*p^68*q^578+5686806064*p^66*q^580+45093841716*p^64*q^582+308860100953* p^62*q^584+1681608860718*p^60*q^586+5786553617458*p^58*q^588+8718280211348*p^56 *q^590+4472847855679*p^54*q^592+993156641684*p^52*q^594+142909760259*p^50*q^596 +15522336274*p^48*q^598+1386870231*p^46*q^600+129957032*p^44*q^602+4772510*p^42 *q^604+1117144*p^40*q^606+5344*p^38*q^608+60*p^34*q^612+242*p^79*q^566+26000*p^ 75*q^570+1915362*p^73*q^572+8815898*p^71*q^574+185429734*p^69*q^576+1749023716* p^67*q^578+15192380514*p^65*q^580+113974611228*p^63*q^582+709835458433*p^61*q^ 584+3241694493196*p^59*q^586+7903189731248*p^57*q^588+7200678986902*p^55*q^590+ 2347514590966*p^53*q^592+410184584550*p^51*q^594+51211809147*p^49*q^596+ 5082019020*p^47*q^598+415955079*p^45*q^600+33975182*p^43*q^602+2304830*p^41*q^ 604+128806*p^39*q^606+40*p^37*q^608+128*p^76*q^568+192672*p^74*q^570+4324304*p^ 72*q^572+41177566*p^70*q^574+515640998*p^68*q^576+5018628120*p^66*q^578+ 39914739358*p^64*q^580+277029885528*p^62*q^582+1524540282126*p^60*q^584+ 5443745747516*p^58*q^586+8602449828661*p^56*q^588+4691464709230*p^54*q^590+ 1073491202148*p^52*q^592+157870135254*p^50*q^594+17295752036*p^48*q^596+ 1571989480*p^46*q^598+143201808*p^44*q^600+5481398*p^42*q^602+1308674*p^40*q^ 604+7120*p^38*q^606+60*p^79*q^564+36*p^77*q^566+8848*p^75*q^568+1381270*p^73*q^ 570+7681516*p^71*q^572+160945468*p^69*q^574+1517120741*p^67*q^576+13491008774*p ^65*q^578+101506079518*p^63*q^580+640836015694*p^61*q^582+2977893217242*p^59*q^ 584+7609684040068*p^57*q^586+7306969597718*p^55*q^588+2507432047518*p^53*q^590+ 447008736650*p^51*q^592+56969578712*p^49*q^594+5668437543*p^47*q^596+461225352* p^45*q^598+41416434*p^43*q^600+1699198*p^41*q^602+225428*p^39*q^604+432*p^37*q^ 606+4*p^33*q^610+936*p^78*q^564+142804*p^74*q^568+4832624*p^72*q^570+33127704*p ^70*q^572+466137736*p^68*q^574+4425702793*p^66*q^576+35570851536*p^64*q^578+ 247773062484*p^62*q^580+1388341045278*p^60*q^582+5083394177919*p^58*q^584+ 8502091037554*p^56*q^586+4882365059412*p^54*q^588+1161879608092*p^52*q^590+ 173812568419*p^50*q^592+19355424836*p^48*q^594+1789329664*p^46*q^596+155712832* p^44*q^598+7801522*p^42*q^600+1225410*p^40*q^602+15780*p^38*q^604+3264*p^75*q^ 566+1040472*p^73*q^568+8073890*p^71*q^570+136202717*p^69*q^572+1324011732*p^67* q^574+11973005582*p^65*q^576+90570031464*p^63*q^578+575611351116*p^61*q^580+ 2741062401634*p^59*q^582+7261750387595*p^57*q^584+7428526654814*p^55*q^586+ 2664982668375*p^53*q^588+489271072880*p^51*q^590+63249709133*p^49*q^592+ 6372045842*p^47*q^594+521442682*p^45*q^596+49610196*p^43*q^598+1232884*p^41*q^ 600+389508*p^39*q^602+614*p^37*q^604+826*p^78*q^562+560*p^76*q^564+94636*p^74*q ^566+4276692*p^72*q^568+26184030*p^70*q^570+415555016*p^68*q^572+3884049628*p^ 66*q^574+31456681356*p^64*q^576+221883091388*p^62*q^578+1256237124831*p^60*q^ 580+4758210346774*p^58*q^582+8337734261900*p^56*q^584+5094847048416*p^54*q^586+ 1252423043163*p^52*q^588+191453653554*p^50*q^590+21634828187*p^48*q^592+ 2026882092*p^46*q^594+164777408*p^44*q^596+10498706*p^42*q^598+1039302*p^40*q^ 600+25284*p^38*q^602+8*p^36*q^604+2136*p^77*q^562+684*p^75*q^564+654468*p^73*q^ 566+9307148*p^71*q^568+111121320*p^69*q^570+1158947364*p^67*q^572+10618820798*p ^65*q^574+80546934724*p^63*q^576+519029222322*p^61*q^578+2509383824778*p^59*q^ 580+6951818656974*p^57*q^582+7491073992115*p^55*q^584+2836050440022*p^53*q^586+ 531971421636*p^51*q^588+70248446424*p^49*q^590+7070241690*p^47*q^592+589212468* p^45*q^594+57171958*p^43*q^596+1399884*p^41*q^598+439944*p^39*q^600+1192*p^37*q ^602+52*p^78*q^560+64*p^76*q^562+40884*p^74*q^564+3826868*p^72*q^566+21293069*p ^70*q^568+372185774*p^68*q^570+3407994471*p^66*q^572+28007367290*p^64*q^574+ 198277468431*p^62*q^576+1141432056958*p^60*q^578+4425736729753*p^58*q^580+ 8184547126388*p^56*q^582+5273892530298*p^54*q^584+1352063626366*p^52*q^586+ 210172752251*p^50*q^588+24208877238*p^48*q^590+2294906459*p^46*q^592+178349230* p^44*q^594+13685264*p^42*q^596+583476*p^40*q^598+74696*p^38*q^600+68*p^36*q^602 +4638*p^77*q^560+3800*p^75*q^562+556592*p^73*q^564+9725912*p^71*q^566+92996586* p^69*q^568+1031197232*p^67*q^570+9401428936*p^65*q^572+71829040464*p^63*q^574+ 465490359211*p^61*q^576+2302888762314*p^59*q^578+6596623896422*p^57*q^580+ 7564439816018*p^55*q^582+3002489848106*p^53*q^584+580707018202*p^51*q^586+ 77908855764*p^49*q^588+7953986252*p^47*q^590+679361057*p^45*q^592+64313774*p^43 *q^594+2072650*p^41*q^596+532144*p^39*q^598+1478*p^37*q^600+52*p^78*q^558+2922* p^76*q^560+16076*p^74*q^562+2721288*p^72*q^564+19920720*p^70*q^566+319065086*p^ 68*q^568+2959813970*p^66*q^570+24764368582*p^64*q^572+177225371834*p^62*q^574+ 1030173911136*p^60*q^576+4125822731592*p^58*q^578+7976961984250*p^56*q^580+ 5471366698872*p^54*q^582+1453391945694*p^52*q^584+231286631288*p^50*q^586+ 26996191444*p^48*q^588+2565228210*p^46*q^590+193219612*p^44*q^592+17069038*p^42 *q^594+339848*p^40*q^596+97308*p^38*q^598+44*p^36*q^600+1288*p^77*q^558+1908*p^ 75*q^560+328008*p^73*q^562+9775220*p^71*q^564+73003576*p^69*q^566+918287903*p^ 67*q^568+8338694756*p^65*q^570+63818253607*p^63*q^572+419109894620*p^61*q^574+ 2102802759631*p^59*q^576+6281247495142*p^57*q^578+7579404823274*p^55*q^580+ 3180134745252*p^53*q^582+630216820872*p^51*q^584+86168289156*p^49*q^586+ 8859248540*p^47*q^588+780655524*p^45*q^590+67269437*p^43*q^592+2913602*p^41*q^ 594+378822*p^39*q^596+8606*p^37*q^598+4*p^35*q^600+13724*p^76*q^558+16902*p^74* q^560+2237142*p^72*q^562+19984970*p^70*q^564+279057268*p^68*q^566+2599037419*p^ 66*q^568+22049619502*p^64*q^570+158194164783*p^62*q^572+934188200432*p^60*q^574 +3819204734732*p^58*q^576+7783688210058*p^56*q^578+5631325532618*p^54*q^580+ 1564379552222*p^52*q^582+253319635838*p^50*q^584+30265682602*p^48*q^586+ 2878132313*p^46*q^588+215453036*p^44*q^590+21977838*p^42*q^592+334486*p^40*q^ 594+168488*p^38*q^596+44*p^36*q^598+788*p^77*q^556+2466*p^75*q^558+170944*p^73* q^560+8691392*p^71*q^562+60135460*p^69*q^564+813738340*p^67*q^566+7333834758*p^ 65*q^568+56794565138*p^63*q^570+375304993492*p^61*q^572+1923990466724*p^59*q^ 574+5930305518831*p^57*q^576+7605354752526*p^55*q^578+3351950705276*p^53*q^580+ 686092295824*p^51*q^582+95359477958*p^49*q^584+9945525828*p^47*q^586+896117764* p^45*q^588+71714526*p^43*q^590+3876890*p^41*q^592+215560*p^39*q^594+14038*p^37* q^596+10050*p^76*q^556+19794*p^74*q^558+1738618*p^72*q^560+20377872*p^70*q^562+ 233063756*p^68*q^564+2283695504*p^66*q^566+19508302205*p^64*q^568+141373838640* p^62*q^570+841745238687*p^60*q^572+3546537465446*p^58*q^574+7534408868991*p^56* q^576+5808866719888*p^54*q^578+1676296811752*p^52*q^580+278092487880*p^50*q^582 +33673520089*p^48*q^584+3213062402*p^46*q^586+244787820*p^44*q^588+25061498*p^ 42*q^590+481252*p^40*q^592+180820*p^38*q^594+478*p^36*q^596+114*p^77*q^554+ 23222*p^75*q^556+89760*p^73*q^558+7130540*p^71*q^560+50818708*p^69*q^562+ 722780018*p^67*q^564+6444303194*p^65*q^566+50401301885*p^63*q^568+337160303138* p^61*q^570+1751296515169*p^59*q^572+5617593984812*p^57*q^574+7570921791659*p^55 *q^576+3536178983084*p^53*q^578+743030489119*p^51*q^580+105385678276*p^49*q^582 +11145794966*p^47*q^584+1015720528*p^45*q^586+74281512*p^43*q^588+5502608*p^41* q^590+93262*p^39*q^592+29344*p^37*q^594+5920*p^76*q^554+5204*p^74*q^556+1107578 *p^72*q^558+20572892*p^70*q^560+194588598*p^68*q^562+2008660604*p^66*q^564+ 17382057688*p^64*q^566+126037889010*p^62*q^568+762015297384*p^60*q^570+ 3272430281301*p^58*q^572+7308200184524*p^56*q^574+5940128589246*p^54*q^576+ 1798085345640*p^52*q^578+303784718451*p^50*q^580+37553525996*p^48*q^582+ 3565235354*p^46*q^584+285504270*p^44*q^586+27695016*p^42*q^588+689902*p^40*q^ 590+130762*p^38*q^592+1510*p^36*q^594+37066*p^75*q^554+114518*p^73*q^556+ 6358882*p^71*q^558+46974038*p^69*q^560+638045178*p^67*q^562+5678321705*p^65*q^ 564+44831873600*p^63*q^566+301585748124*p^61*q^568+1598007837186*p^59*q^570+ 5275356761854*p^57*q^572+7547561482758*p^55*q^574+3707785141812*p^53*q^576+ 807435422272*p^51*q^578+116402048569*p^49*q^580+12578107348*p^47*q^582+ 1160102571*p^45*q^584+78912432*p^43*q^586+7532680*p^41*q^588+63812*p^39*q^590+ 56070*p^37*q^592+8*p^35*q^594+2584*p^76*q^552+24976*p^74*q^554+622162*p^72*q^ 556+18533500*p^70*q^558+157835400*p^68*q^560+1768742302*p^66*q^562+15303419035* p^64*q^564+112372396402*p^62*q^566+685171406482*p^60*q^568+3026139110936*p^58*q ^570+7034019186697*p^56*q^572+6091630293100*p^54*q^574+1920549568279*p^52*q^576 +332788055482*p^50*q^578+41686500944*p^48*q^580+3988333202*p^46*q^582+329193951 *p^44*q^584+29537020*p^42*q^586+973712*p^40*q^588+72532*p^38*q^590+2292*p^36*q^ 592+44*p^77*q^550+28594*p^75*q^552+53102*p^73*q^554+4893094*p^71*q^556+44674918 *p^69*q^558+552389380*p^67*q^560+4987613980*p^65*q^562+39801597951*p^63*q^564+ 270745887754*p^61*q^566+1451365304906*p^59*q^568+4972636899118*p^57*q^570+ 7464034461279*p^55*q^572+3892377069294*p^53*q^574+871831513167*p^51*q^576+ 128285002638*p^49*q^578+14065622366*p^47*q^580+1285240958*p^45*q^582+85920379*p ^43*q^584+9131940*p^41*q^586+98664*p^39*q^588+49770*p^37*q^590+108*p^35*q^592+ 152*p^76*q^550+74394*p^74*q^552+513662*p^72*q^554+17438190*p^70*q^556+133411066 *p^68*q^558+1579924918*p^66*q^560+13592460928*p^64*q^562+100096613238*p^62*q^ 564+618925287234*p^60*q^566+2782141315573*p^58*q^568+6780440123794*p^56*q^570+ 6191927211625*p^54*q^572+2053465815868*p^52*q^574+362953170371*p^50*q^576+ 46481104606*p^48*q^578+4474333375*p^46*q^580+391561610*p^44*q^582+30216649*p^42 *q^584+1607682*p^40*q^586+14924*p^38*q^588+10650*p^36*q^590+21600*p^75*q^550+ 41214*p^73*q^552+3420280*p^71*q^554+42064558*p^69*q^556+472717348*p^67*q^558+ 4362080239*p^65*q^560+35392596164*p^63*q^562+241727377125*p^61*q^564+ 1320927867150*p^59*q^566+4648818492842*p^57*q^568+7390678880378*p^55*q^570+ 4060852994798*p^53*q^572+944876189614*p^51*q^574+141295903970*p^49*q^576+ 15799455442*p^47*q^578+1432455337*p^45*q^580+97130402*p^43*q^582+10903460*p^41* q^584+133198*p^39*q^586+45600*p^37*q^588+44*p^35*q^590+756*p^76*q^548+87596*p^ 74*q^550+376970*p^72*q^552+15468952*p^70*q^554+115868460*p^68*q^556+1392716234* p^66*q^558+11986428855*p^64*q^560+89153829028*p^62*q^562+555674015532*p^60*q^ 564+2564224373832*p^58*q^566+6487543333954*p^56*q^568+6309115302862*p^54*q^570+ 2184772594686*p^52*q^572+396711817020*p^50*q^574+51519575348*p^48*q^576+ 5042343444*p^46*q^578+449403140*p^44*q^580+30365410*p^42*q^582+2257262*p^40*q^ 584+10752*p^38*q^586+11966*p^36*q^588+4*p^34*q^590+4708*p^75*q^548+95598*p^73*q ^550+2304938*p^71*q^552+39824324*p^69*q^554+393242266*p^67*q^556+3843797790*p^ 65*q^558+31316521043*p^63*q^560+216617404864*p^61*q^562+1196513379726*p^59*q^ 564+4360968808202*p^57*q^566+7264336312206*p^55*q^568+4239749962190*p^53*q^570+ 1018309408059*p^51*q^572+155517420422*p^49*q^574+17634729897*p^47*q^576+ 1584731594*p^45*q^578+114461408*p^43*q^580+11871124*p^41*q^582+229920*p^39*q^ 584+12600*p^37*q^586+1042*p^35*q^588+72*p^76*q^546+95946*p^74*q^548+218792*p^72 *q^550+12971862*p^70*q^552+102852312*p^68*q^554+1240052394*p^66*q^556+ 10609400366*p^64*q^558+79409667015*p^62*q^560+501267061028*p^60*q^562+ 2349325486523*p^58*q^564+6219283177514*p^56*q^566+6372364092575*p^54*q^568+ 2326879718022*p^52*q^570+431523102678*p^50*q^572+57202821144*p^48*q^574+ 5687044610*p^46*q^576+510309842*p^44*q^578+30337184*p^42*q^580+3147324*p^40*q^ 582+16738*p^38*q^584+16694*p^36*q^586+5868*p^75*q^546+166770*p^73*q^548+1872674 *p^71*q^550+37950658*p^69*q^552+336575080*p^67*q^554+3381789868*p^65*q^556+ 27830363028*p^63*q^558+193170453213*p^61*q^560+1086511522946*p^59*q^562+ 4057597755674*p^57*q^564+7146721589046*p^55*q^566+4399831084254*p^53*q^568+ 1100373910898*p^51*q^570+170896534794*p^49*q^572+19827075358*p^47*q^574+ 1767727935*p^45*q^576+140498266*p^43*q^578+12824180*p^41*q^580+383820*p^39*q^ 582+1248*p^37*q^584+2024*p^35*q^586+45914*p^74*q^546+184108*p^72*q^548+9573800* p^70*q^550+91666736*p^68*q^552+1067932816*p^66*q^554+9302373180*p^64*q^556+ 70610565448*p^62*q^558+449223685758*p^60*q^560+2158120924626*p^58*q^562+ 5915632451285*p^56*q^564+6452382076452*p^54*q^566+2466509821103*p^52*q^568+ 470639405488*p^50*q^570+63317558628*p^48*q^572+6386865530*p^46*q^574+569882487* p^44*q^576+31582630*p^42*q^578+3772606*p^40*q^580+21464*p^38*q^582+8804*p^36*q^ 584+30*p^34*q^586+2072*p^75*q^544+253768*p^73*q^546+1222242*p^71*q^548+35330508 *p^69*q^550+285926838*p^67*q^552+3004880222*p^65*q^554+24641116491*p^63*q^556+ 172936113712*p^61*q^558+981999462290*p^59*q^560+3790833698378*p^57*q^562+ 6976553651710*p^55*q^564+4569597599920*p^53*q^566+1182405679914*p^51*q^568+ 187698704484*p^49*q^570+22036839787*p^47*q^572+1984541678*p^45*q^574+165714751* p^43*q^576+12201492*p^41*q^578+668018*p^39*q^580+1728*p^37*q^582+3320*p^35*q^ 584+31176*p^74*q^544+236896*p^72*q^546+7524122*p^70*q^548+85335366*p^68*q^550+ 927183709*p^66*q^552+8205655604*p^64*q^554+62768265064*p^62*q^556+404289750494* p^60*q^558+1971718243006*p^58*q^560+5639625824972*p^56*q^562+6474282775637*p^54 *q^564+2616096144826*p^52*q^566+511249532376*p^50*q^568+70195439356*p^48*q^570+ 7224524792*p^46*q^572+631129670*p^44*q^574+37565513*p^42*q^576+4723288*p^40*q^ 578+42512*p^38*q^580+684*p^36*q^582+252*p^34*q^584+228*p^75*q^542+218142*p^73*q ^544+895026*p^71*q^546+30829628*p^69*q^548+246051494*p^67*q^550+2655100446*p^65 *q^552+21885495896*p^63*q^554+154058354671*p^61*q^556+890098094018*p^59*q^558+ 3512215376089*p^57*q^560+6822663093414*p^55*q^562+4711824951180*p^53*q^564+ 1274318895856*p^51*q^566+205571379915*p^49*q^568+24657298234*p^47*q^570+ 2220662176*p^45*q^572+195589428*p^43*q^574+11190535*p^41*q^576+891360*p^39*q^ 578+1504*p^37*q^580+3700*p^35*q^582+36*p^76*q^540+21976*p^74*q^542+435050*p^72* q^544+5573002*p^70*q^546+79797828*p^68*q^548+794231228*p^66*q^550+7200435891*p^ 64*q^552+55731575842*p^62*q^554+361775245798*p^60*q^556+1804407437574*p^58*q^ 558+5336194713192*p^56*q^560+6512500483638*p^54*q^562+2760672477639*p^52*q^564+ 556436653222*p^50*q^566+77640294196*p^48*q^568+8152763086*p^46*q^570+701514108* p^44*q^572+45652234*p^42*q^574+5208296*p^40*q^576+96008*p^38*q^578+108*p^36*q^ 580+302*p^34*q^582+172*p^75*q^540+137492*p^73*q^542+575036*p^71*q^544+25181606* p^69*q^546+211895300*p^67*q^548+2332589954*p^65*q^550+19299535794*p^63*q^552+ 137738340018*p^61*q^554+802672917711*p^59*q^556+3267447255064*p^57*q^558+ 6619960761995*p^55*q^560+4868284095894*p^53*q^562+1364820254455*p^51*q^564+ 225275373692*p^49*q^566+27355671797*p^47*q^568+2494826570*p^45*q^570+219393745* p^43*q^572+10668442*p^41*q^574+1235246*p^39*q^576+3068*p^37*q^578+440*p^35*q^ 580+16*p^33*q^582+4852*p^74*q^540+591808*p^72*q^542+4241276*p^70*q^544+75977154 *p^68*q^546+686055086*p^66*q^548+6381411016*p^64*q^550+49565353915*p^62*q^552+ 325262816324*p^60*q^554+1644181441664*p^58*q^556+5058967888550*p^56*q^558+ 6492831422172*p^54*q^560+2914617004172*p^52*q^562+602760635195*p^50*q^564+ 85866235848*p^48*q^566+9156700650*p^46*q^568+778402386*p^44*q^570+58204987*p^42 *q^572+4915956*p^40*q^574+160788*p^38*q^576+108*p^36*q^578+926*p^34*q^580+520*p ^75*q^538+125078*p^73*q^540+708902*p^71*q^542+20503084*p^69*q^544+189110092*p^ 67*q^546+2048032976*p^65*q^548+17075255066*p^63*q^550+122514133860*p^61*q^552+ 725595799248*p^59*q^554+3015328274013*p^57*q^556+6430568531478*p^55*q^558+ 4991140848359*p^53*q^560+1467112579074*p^51*q^562+246428683028*p^49*q^564+ 30594645510*p^47*q^566+2848795815*p^45*q^568+251355550*p^43*q^570+11189334*p^41 *q^572+1781216*p^39*q^574+8036*p^37*q^576+4*p^35*q^578+6*p^33*q^580+3410*p^74*q ^538+469360*p^72*q^540+2782486*p^70*q^542+68156638*p^68*q^544+582122252*p^66*q^ 546+5596758036*p^64*q^548+43985645898*p^62*q^550+290488694861*p^60*q^552+ 1501437916598*p^58*q^554+4762123193564*p^56*q^556+6488157093720*p^54*q^558+ 3061530611720*p^52*q^560+654325620030*p^50*q^562+94565390631*p^48*q^564+ 10257564788*p^46*q^566+851342860*p^44*q^568+68440630*p^42*q^570+4484582*p^40*q^ 572+211376*p^38*q^574+136*p^36*q^576+156*p^34*q^578+76*p^75*q^536+50382*p^73*q^ 538+1072486*p^71*q^540+16153204*p^69*q^542+170847892*p^67*q^544+1787017656*p^65 *q^546+15064353475*p^63*q^548+109324372394*p^61*q^550+653444778486*p^59*q^552+ 2793353856750*p^57*q^554+6202333083688*p^55*q^556+5122575802262*p^53*q^558+ 1566736428317*p^51*q^560+269622905108*p^49*q^562+33947242270*p^47*q^564+ 3229784786*p^45*q^566+279247562*p^43*q^568+14174216*p^41*q^570+1878814*p^39*q^ 572+21896*p^37*q^574+4*p^35*q^576+130*p^33*q^578+3394*p^74*q^536+460632*p^72*q^ 538+2106180*p^70*q^540+60140674*p^68*q^542+502662532*p^66*q^544+4966980820*p^64 *q^546+38987666281*p^62*q^548+260827345302*p^60*q^550+1363378366353*p^58*q^552+ 4494000246144*p^56*q^554+6426281127041*p^54*q^556+3217113950714*p^52*q^558+ 707377144903*p^50*q^560+104323339106*p^48*q^562+11492214614*p^46*q^564+ 957912480*p^44*q^566+81863766*p^42*q^568+3687124*p^40*q^570+423220*p^38*q^572+ 320*p^36*q^574+32518*p^73*q^536+1140906*p^71*q^538+12402084*p^69*q^540+ 158844470*p^67*q^542+1553801301*p^65*q^544+13288607618*p^63*q^546+97247692551*p ^61*q^548+589420210898*p^59*q^550+2568970444376*p^57*q^552+5988814203560*p^55*q ^554+5220169145145*p^53*q^556+1677281971974*p^51*q^558+294195129654*p^49*q^560+ 37895954618*p^47*q^562+3664478231*p^45*q^564+305910126*p^43*q^566+18213633*p^41 *q^568+1979788*p^39*q^570+23708*p^37*q^572+28*p^33*q^576+2028*p^74*q^534+296930 *p^72*q^536+2167832*p^70*q^538+50476624*p^68*q^540+432192128*p^66*q^542+ 4354274844*p^64*q^544+34612286930*p^62*q^546+232556425654*p^60*q^548+ 1241755033908*p^58*q^550+4207544255472*p^56*q^552+6380603470342*p^54*q^554+ 3361946884601*p^52*q^556+766166785704*p^50*q^558+114726915584*p^48*q^560+ 12842404094*p^46*q^562+1078652495*p^44*q^564+96424154*p^42*q^566+3339868*p^40*q ^568+549734*p^38*q^570+1860*p^36*q^572+8*p^32*q^576+19144*p^73*q^534+1210648*p^ 71*q^536+8652952*p^69*q^538+145718996*p^67*q^540+1339147520*p^65*q^542+ 11709879062*p^63*q^544+86579608156*p^61*q^546+529607044389*p^59*q^548+ 2371092704176*p^57*q^550+5741206763330*p^55*q^552+5326684658440*p^53*q^554+ 1785255590237*p^51*q^556+321200495266*p^49*q^558+41958334241*p^47*q^560+ 4143354118*p^45*q^562+332067508*p^43*q^564+22038172*p^41*q^566+1783548*p^39*q^ 568+63092*p^37*q^570+4*p^35*q^572+252*p^74*q^532+190842*p^72*q^534+2246338*p^70 *q^536+42717506*p^68*q^538+379616334*p^66*q^540+3855106864*p^64*q^542+ 30641665444*p^62*q^544+208571733754*p^60*q^546+1125276963689*p^58*q^548+ 3951909069402*p^56*q^550+6277483305294*p^54*q^552+3515161958680*p^52*q^554+ 826108982195*p^50*q^556+126239561872*p^48*q^558+14358085409*p^46*q^560+ 1231341104*p^44*q^562+109018158*p^42*q^564+4142240*p^40*q^566+655884*p^38*q^568 +2120*p^36*q^570+2*p^32*q^574+17836*p^73*q^532+1086732*p^71*q^534+7317508*p^69* q^536+131322886*p^67*q^538+1160876321*p^65*q^540+10340863058*p^63*q^542+ 76883843987*p^61*q^544+476961385330*p^59*q^546+2172656290366*p^57*q^548+ 5511413105026*p^55*q^550+5391076981340*p^53*q^552+1904516397990*p^51*q^554+ 349748219053*p^49*q^556+46720134412*p^47*q^558+4678231408*p^45*q^560+365749108* p^43*q^562+28849241*p^41*q^564+1346400*p^39*q^566+116348*p^37*q^568+68*p^35*q^ 570+96*p^74*q^530+121502*p^72*q^532+2495276*p^70*q^534+32507602*p^68*q^536+ 339605542*p^66*q^538+3358859831*p^64*q^540+27095533770*p^62*q^542+185746566644* p^60*q^544+1021689923526*p^58*q^546+3683250768383*p^56*q^548+6192998201978*p^54 *q^550+3653546356508*p^52*q^552+893090520596*p^50*q^554+138483383425*p^48*q^556 +16066017120*p^46*q^558+1404752993*p^44*q^560+120425590*p^42*q^562+4824678*p^40 *q^564+732178*p^38*q^566+5120*p^36*q^568+28*p^75*q^528+6292*p^73*q^530+777074*p ^71*q^532+5741506*p^69*q^534+116920892*p^67*q^536+993499348*p^65*q^538+ 9109561754*p^63*q^540+68466926178*p^61*q^542+427747747471*p^59*q^544+ 1998747585234*p^57*q^546+5253857870931*p^55*q^548+5466805513258*p^53*q^550+ 2018623182589*p^51*q^552+380715579930*p^49*q^554+51609807444*p^47*q^556+ 5241295536*p^45*q^558+400362932*p^43*q^560+34448202*p^41*q^562+1089407*p^39*q^ 564+156776*p^37*q^566+160*p^35*q^568+91224*p^72*q^530+2750100*p^70*q^532+ 26527696*p^68*q^534+307865156*p^66*q^536+2955322994*p^64*q^538+23983143161*p^62 *q^540+166227227984*p^60*q^542+923931289001*p^58*q^544+3442903336866*p^56*q^546 +6053596732804*p^54*q^548+3799819570910*p^52*q^550+960081540375*p^50*q^552+ 152318373632*p^48*q^554+17943457682*p^46*q^556+1615424886*p^44*q^558+132308159* p^42*q^560+6850390*p^40*q^562+665818*p^38*q^564+16308*p^36*q^566+2304*p^73*q^ 528+614754*p^71*q^530+5338970*p^69*q^532+99826336*p^67*q^534+860391478*p^65*q^ 536+8043583118*p^63*q^538+60670029909*p^61*q^540+384526211780*p^59*q^542+ 1825369987135*p^57*q^544+5013904839262*p^55*q^546+5498577937758*p^53*q^548+ 2145114984882*p^51*q^550+413993747324*p^49*q^552+57197763782*p^47*q^554+ 5893823499*p^45*q^556+454912756*p^43*q^558+40860609*p^41*q^560+977476*p^39*q^ 562+216064*p^37*q^564+180*p^35*q^566+408*p^74*q^526+62624*p^72*q^528+2319366*p^ 70*q^530+20679916*p^68*q^532+278410020*p^66*q^534+2562385555*p^64*q^536+ 21168450702*p^62*q^538+147849587844*p^60*q^540+836964256702*p^58*q^542+ 3195448144735*p^56*q^544+5932625106656*p^54*q^546+3926501422216*p^52*q^548+ 1035011725746*p^50*q^550+166528974706*p^48*q^552+20095718566*p^46*q^554+ 1832559435*p^44*q^556+140499316*p^42*q^558+8930552*p^40*q^560+529162*p^38*q^562 +25832*p^36*q^564+4*p^34*q^566+460*p^73*q^526+387778*p^71*q^528+5776172*p^69*q^ 530+82564238*p^67*q^532+749697644*p^65*q^534+7077765059*p^63*q^536+53956205168* p^61*q^538+344318463302*p^59*q^540+1673690227366*p^57*q^542+4753507536785*p^55* q^544+5538112280830*p^53*q^546+2264785695103*p^51*q^548+449896638394*p^49*q^550 +63113317003*p^47*q^552+6582533962*p^45*q^554+516244957*p^43*q^556+46524212*p^ 41*q^558+1243998*p^39*q^560+230062*p^37*q^562+1360*p^35*q^564+40*p^74*q^524+ 27548*p^72*q^526+2126160*p^70*q^528+16013484*p^68*q^530+252292724*p^66*q^532+ 2232080144*p^64*q^534+18693878008*p^62*q^536+132124555688*p^60*q^538+ 754912757902*p^58*q^540+2974271655034*p^56*q^542+5764143162536*p^54*q^544+ 4059913624558*p^52*q^546+1109712927366*p^50*q^548+182614127958*p^48*q^550+ 22395694172*p^46*q^552+2088676376*p^44*q^554+151597080*p^42*q^556+11685574*p^40 *q^558+312118*p^38*q^560+48644*p^36*q^562+4*p^34*q^564+2592*p^73*q^524+344014*p ^71*q^526+5555916*p^69*q^528+69815698*p^67*q^530+662986918*p^65*q^532+ 6239118198*p^63*q^534+47802443102*p^61*q^536+309040572018*p^59*q^538+ 1523787773633*p^57*q^540+4512482781768*p^55*q^542+5533434002052*p^53*q^544+ 2395503245890*p^51*q^546+487841103391*p^49*q^548+69853595730*p^47*q^550+ 7407970494*p^45*q^552+599524608*p^43*q^554+52051025*p^41*q^556+1831162*p^39*q^ 558+248910*p^37*q^560+2428*p^35*q^562+10656*p^72*q^524+1504172*p^70*q^526+ 14115710*p^68*q^528+219617928*p^66*q^530+1919925651*p^64*q^532+16489465124*p^62 *q^534+117293034248*p^60*q^536+682241922812*p^58*q^538+2748460456662*p^56*q^540 +5612878537230*p^54*q^542+4171961619824*p^52*q^544+1192483032242*p^50*q^546+ 199488287329*p^48*q^548+24985986866*p^46*q^550+2343108826*p^44*q^552+164559416* p^42*q^554+14238245*p^40*q^556+207632*p^38*q^558+53816*p^36*q^560+52*p^34*q^562 +1284*p^73*q^522+209112*p^71*q^524+5393090*p^69*q^526+54668218*p^67*q^528+ 592101734*p^65*q^530+5470597514*p^63*q^532+42420494706*p^61*q^534+276272275043* p^59*q^536+1393333050518*p^57*q^538+4253884196653*p^55*q^540+5538891029940*p^53 *q^542+2517485491442*p^51*q^544+529237335902*p^49*q^546+76759775628*p^47*q^548+ 8295195332*p^45*q^550+691512176*p^43*q^552+55074128*p^41*q^554+2546520*p^39*q^ 556+180960*p^37*q^558+8272*p^35*q^560+10698*p^72*q^522+1283236*p^70*q^524+ 13040112*p^68*q^526+194188347*p^66*q^528+1672348998*p^64*q^530+14570062921*p^62 *q^532+104689283402*p^60*q^534+614227108501*p^58*q^536+2547727776800*p^56*q^538 +5418964321207*p^54*q^540+4287525662956*p^52*q^542+1275008728948*p^50*q^544+ 218167097964*p^48*q^546+27803852690*p^46*q^548+2649475262*p^44*q^550+184230209* p^42*q^552+17184058*p^40*q^554+298310*p^38*q^556+71378*p^36*q^558+96*p^34*q^560 +76*p^73*q^520+109272*p^71*q^522+4686582*p^69*q^524+44514678*p^67*q^526+ 526996804*p^65*q^528+4795537708*p^63*q^530+37466560831*p^61*q^532+247539859236* p^59*q^534+1264877811172*p^57*q^536+4018550829090*p^55*q^538+5495152130581*p^53 *q^540+2651146411030*p^51*q^542+572555550833*p^49*q^544+84779753072*p^47*q^546+ 9334301226*p^45*q^548+795770568*p^43*q^550+58717975*p^41*q^552+3664694*p^39*q^ 554+72372*p^37*q^556+10084*p^35*q^558+10*p^74*q^518+12978*p^72*q^520+1031110*p^ 70*q^522+12287918*p^68*q^524+164264088*p^66*q^526+1454338437*p^64*q^528+ 12836092762*p^62*q^530+92899782419*p^60*q^532+553801961454*p^58*q^534+ 2345284387773*p^56*q^536+5244167034968*p^54*q^538+4377376261980*p^52*q^540+ 1365849195722*p^50*q^542+237870468548*p^48*q^544+30938243474*p^46*q^546+ 2958700068*p^44*q^548+213363944*p^42*q^550+19521972*p^40*q^552+389866*p^38*q^ 554+85232*p^36*q^556+820*p^34*q^558+64*p^73*q^518+54678*p^71*q^520+3798524*p^69 *q^522+36299406*p^67*q^524+471500642*p^65*q^526+4164879652*p^63*q^528+ 33204556350*p^61*q^530+220778224370*p^59*q^532+1152822368582*p^57*q^534+ 3770116153740*p^55*q^536+5466172023052*p^53*q^538+2771692048421*p^51*q^540+ 619755707998*p^49*q^542+93016854677*p^47*q^544+10467890386*p^45*q^546+907372150 *p^43*q^548+60025008*p^41*q^550+4570226*p^39*q^552+45250*p^37*q^554+11776*p^35* q^556+2540*p^72*q^518+678984*p^70*q^520+11784982*p^68*q^522+138313706*p^66*q^ 524+1274844604*p^64*q^526+11347801054*p^62*q^528+82833245196*p^60*q^530+ 497781195851*p^58*q^532+2166019809002*p^56*q^534+5032676301927*p^54*q^536+ 4471675245302*p^52*q^538+1454552399239*p^50*q^540+259611478568*p^48*q^542+ 34272778376*p^46*q^544+3326786810*p^44*q^546+247413112*p^42*q^548+21744376*p^40 *q^550+736606*p^38*q^552+44772*p^36*q^554+1812*p^34*q^556+148*p^73*q^516+71776* p^71*q^518+3517006*p^69*q^520+31860266*p^67*q^522+419547518*p^65*q^524+ 3646074518*p^63*q^526+29300172768*p^61*q^528+197434128248*p^59*q^530+ 1043765666515*p^57*q^532+3541373626654*p^55*q^534+5388700198541*p^53*q^536+ 2904416180078*p^51*q^538+669064621652*p^49*q^540+102523539004*p^47*q^542+ 11784124025*p^45*q^544+1040811618*p^43*q^546+65959786*p^41*q^548+5912214*p^39*q ^550+44778*p^37*q^552+23652*p^35*q^554+28*p^33*q^556+20*p^74*q^514+1686*p^72*q^ 516+375892*p^70*q^518+9810532*p^68*q^520+111933952*p^66*q^522+1115239804*p^64*q ^524+9940337654*p^62*q^526+73289121638*p^60*q^528+447961318074*p^58*q^530+ 1986346363945*p^56*q^532+4841858117218*p^54*q^534+4536856456906*p^52*q^536+ 1553300750744*p^50*q^538+282371219189*p^48*q^540+38014194526*p^46*q^542+ 3730754838*p^44*q^544+286384866*p^42*q^546+22346756*p^40*q^548+972802*p^38*q^ 550+14732*p^36*q^552+1060*p^34*q^554+16*p^73*q^514+31784*p^71*q^516+2803288*p^ 69*q^518+28923226*p^67*q^520+368443056*p^65*q^522+3169679830*p^63*q^524+ 25976701352*p^61*q^526+176068546266*p^59*q^528+948928894792*p^57*q^530+ 3307420124597*p^55*q^532+5321829406812*p^53*q^534+3021060021517*p^51*q^536+ 722410281528*p^49*q^538+112145728485*p^47*q^540+13186459986*p^45*q^542+ 1159131943*p^43*q^544+73350606*p^41*q^546+7015329*p^39*q^548+99288*p^37*q^550+ 20868*p^35*q^552+252*p^33*q^554+1074*p^72*q^514+308440*p^70*q^516+9269302*p^68* q^518+92995262*p^66*q^520+996768438*p^64*q^522+8743427258*p^62*q^524+ 65193983136*p^60*q^526+401532361094*p^58*q^528+1827791261184*p^56*q^530+ 4618975508938*p^54*q^532+4604910462178*p^52*q^534+1648553939288*p^50*q^536+ 307765198400*p^48*q^538+42101907774*p^46*q^540+4222307538*p^44*q^542+340654844* p^42*q^544+23070908*p^40*q^546+1404456*p^38*q^548+5764*p^36*q^550+3660*p^34*q^ 552+296*p^73*q^512+18588*p^71*q^514+1999316*p^69*q^516+24782356*p^67*q^518+ 317802940*p^65*q^520+2753733642*p^63*q^522+22897484322*p^61*q^524+157198450216* p^59*q^526+857034266061*p^57*q^528+3093605854946*p^55*q^530+5213464603100*p^53* q^532+3147358742574*p^51*q^534+777847261960*p^49*q^536+123240179358*p^47*q^538+ 14733991480*p^45*q^540+1304126976*p^43*q^542+83012528*p^41*q^544+7991416*p^39*q ^546+169771*p^37*q^548+8148*p^35*q^550+36*p^33*q^552+608*p^72*q^512+221540*p^70 *q^514+8300856*p^68*q^516+80164290*p^66*q^518+879641430*p^64*q^520+7674796070*p ^62*q^522+57670842171*p^60*q^524+360653623938*p^58*q^526+1670492311190*p^56*q^ 528+4417100630124*p^54*q^530+4641156712822*p^52*q^532+1752824241950*p^50*q^534+ 334163769508*p^48*q^536+46571373172*p^46*q^538+4771312674*p^44*q^540+391843432* p^42*q^542+24067521*p^40*q^544+1880250*p^38*q^546+7208*p^36*q^548+5940*p^34*q^ 550+16*p^32*q^552+24*p^73*q^510+9070*p^71*q^512+1337096*p^69*q^514+22015342*p^ 67*q^516+264871342*p^65*q^518+2399134790*p^63*q^520+20196743388*p^61*q^522+ 139747289057*p^59*q^524+777015329226*p^57*q^526+2874365275481*p^55*q^528+ 5118449222128*p^53*q^530+3256264781332*p^51*q^532+838063364536*p^49*q^534+ 134698486841*p^47*q^536+16464915148*p^45*q^538+1453651794*p^43*q^540+98799942*p ^41*q^542+8335356*p^39*q^544+234470*p^37*q^546+1850*p^35*q^548+308*p^33*q^550+ 1866*p^72*q^510+129380*p^70*q^512+7170508*p^68*q^514+67922720*p^66*q^516+ 790002536*p^64*q^518+6723192149*p^62*q^520+51300905476*p^60*q^522+323022105043* p^58*q^524+1532238635660*p^56*q^526+4191375404570*p^54*q^528+4680110307068*p^52 *q^530+1852516309097*p^50*q^532+363115801850*p^48*q^534+51289154578*p^46*q^536+ 5388224562*p^44*q^538+445853622*p^42*q^540+24535268*p^40*q^542+2371089*p^38*q^ 544+23384*p^36*q^546+3272*p^34*q^548+6572*p^71*q^510+1085690*p^69*q^512+ 20406514*p^67*q^514+227472002*p^65*q^516+2103932748*p^63*q^518+17790918663*p^61 *q^520+124610002448*p^59*q^522+699917161315*p^57*q^524+2676195964946*p^55*q^526 +4977985488845*p^53*q^528+3374123168612*p^51*q^530+899979496570*p^49*q^532+ 147782165678*p^47*q^534+18419167042*p^45*q^536+1649339170*p^43*q^538+120048498* p^41*q^540+9236524*p^39*q^542+413690*p^37*q^544+196*p^35*q^546+976*p^33*q^548+ 828*p^72*q^508+81120*p^70*q^510+5320940*p^68*q^512+56611866*p^66*q^514+ 683213128*p^64*q^516+5853690796*p^62*q^518+45246189825*p^60*q^520+289412808000* p^58*q^522+1395556447253*p^56*q^524+3986638825820*p^54*q^526+4687050923683*p^52 *q^528+1962183122748*p^50*q^530+393527271086*p^48*q^532+56657383210*p^46*q^534+ 6052065908*p^44*q^536+499361716*p^42*q^538+26846244*p^40*q^540+2574054*p^38*q^ 542+24862*p^36*q^544+936*p^34*q^546+12*p^32*q^548+8324*p^71*q^508+693820*p^69*q ^510+18726861*p^67*q^512+193142120*p^65*q^514+1853510002*p^63*q^516+15696918356 *p^61*q^518+110707136514*p^59*q^520+633159939238*p^57*q^522+2477289864524*p^55* q^524+4855902475328*p^53*q^526+3468034090777*p^51*q^528+966767527398*p^49*q^530 +161078443710*p^47*q^532+20442536926*p^45*q^534+1858464568*p^43*q^536+141172964 *p^41*q^538+8719107*p^39*q^540+570600*p^37*q^542+2048*p^35*q^544+820*p^33*q^546 +36*p^72*q^506+43888*p^70*q^508+4256594*p^68*q^510+50218300*p^66*q^512+ 596140528*p^64*q^514+5116203375*p^62*q^516+40152629668*p^60*q^518+258608302751* p^58*q^520+1275938621490*p^56*q^522+3760660054692*p^54*q^524+4696364153380*p^52 *q^526+2064471537513*p^50*q^528+427171213556*p^48*q^530+62340339858*p^46*q^532+ 6866532864*p^44*q^534+560903676*p^42*q^536+32430766*p^40*q^538+3180490*p^38*q^ 540+66482*p^36*q^542+88*p^32*q^546+8032*p^71*q^506+521228*p^69*q^508+16461048*p ^67*q^510+161352152*p^65*q^512+1643460332*p^63*q^514+13791302320*p^61*q^516+ 98541845146*p^59*q^518+569294390973*p^57*q^520+2296024910386*p^55*q^522+ 4696071187670*p^53*q^524+3572101609036*p^51*q^526+1034741909135*p^49*q^528+ 176201035420*p^47*q^530+22723263432*p^45*q^532+2105533756*p^43*q^534+164514559* p^41*q^536+8344082*p^39*q^538+679298*p^37*q^540+1760*p^35*q^542+316*p^33*q^544+ 32*p^72*q^504+44084*p^70*q^506+3083570*p^68*q^508+44131720*p^66*q^510+515293904 *p^64*q^512+4450305910*p^62*q^514+35356494646*p^60*q^516+231319736492*p^58*q^ 518+1158356604749*p^56*q^520+3557725299022*p^54*q^522+4669798654477*p^52*q^524+ 2176952885470*p^50*q^526+462086532541*p^48*q^528+68736260800*p^46*q^530+ 7719972388*p^44*q^532+630617266*p^42*q^534+39249360*p^40*q^536+3426900*p^38*q^ 538+108174*p^36*q^540+80*p^34*q^542+120*p^32*q^544+1544*p^71*q^504+273922*p^69* q^506+13619250*p^67*q^508+135759438*p^65*q^510+1439099184*p^63*q^512+ 12117720022*p^61*q^514+87435739725*p^59*q^516+513680060422*p^57*q^518+ 2117108182619*p^55*q^520+4550941485420*p^53*q^522+3651509007754*p^51*q^524+ 1108348204668*p^49*q^526+191611739140*p^47*q^528+25179196566*p^45*q^530+ 2374601720*p^43*q^532+185727918*p^41*q^534+8565644*p^39*q^536+810918*p^37*q^538 +6210*p^35*q^540+4*p^31*q^544+41374*p^70*q^504+2409236*p^68*q^506+40781224*p^66 *q^508+444502360*p^64*q^510+3908181423*p^62*q^512+31344456874*p^60*q^514+ 206324692498*p^58*q^516+1055906376210*p^56*q^518+3339590798732*p^54*q^520+ 4647660914040*p^52*q^522+2278246441825*p^50*q^524+500362288210*p^48*q^526+ 75513074837*p^46*q^528+8680658304*p^44*q^530+710000430*p^42*q^532+48910340*p^40 *q^534+3217716*p^38*q^536+158120*p^36*q^538+92*p^34*q^540+56*p^32*q^542+940*p^ 71*q^502+241550*p^69*q^504+11100608*p^67*q^506+115106455*p^65*q^508+1270022624* p^63*q^510+10609577086*p^61*q^512+77678226084*p^59*q^514+460713834605*p^57*q^ 516+1954596799258*p^55*q^518+4373725907968*p^53*q^520+3736763319262*p^51*q^522+ 1183144024247*p^49*q^524+209363813368*p^47*q^526+27918325989*p^45*q^528+ 2723830214*p^43*q^530+212588758*p^41*q^532+9758458*p^39*q^534+1106464*p^37*q^ 536+15370*p^35*q^538+8*p^31*q^542+20110*p^70*q^502+1551278*p^68*q^504+36096242* p^66*q^506+375533364*p^64*q^508+3415336802*p^62*q^510+27560721466*p^60*q^512+ 184227007584*p^58*q^514+956104277458*p^56*q^516+3142820400174*p^54*q^518+ 4592532276817*p^52*q^520+2389709992984*p^50*q^522+539753660430*p^48*q^524+ 82919920678*p^46*q^526+9697869260*p^44*q^528+791602106*p^42*q^530+56478439*p^40 *q^532+2911592*p^38*q^534+172143*p^36*q^536+210*p^34*q^538+14*p^73*q^498+136*p^ 71*q^500+183730*p^69*q^502+8781396*p^67*q^504+99349860*p^65*q^506+1109722308*p^ 63*q^508+9297469534*p^61*q^510+68768909512*p^59*q^512+414885873792*p^57*q^514+ 1794210897686*p^55*q^516+4213849399562*p^53*q^518+3795392001870*p^51*q^520+ 1263026109424*p^49*q^522+227511795024*p^47*q^524+30946211128*p^45*q^526+ 3091506283*p^43*q^528+239541436*p^41*q^530+12572920*p^39*q^532+1164488*p^37*q^ 534+26708*p^35*q^536+4*p^31*q^540+10752*p^70*q^500+1134662*p^68*q^502+31686722* p^66*q^504+319527806*p^64*q^506+3006094694*p^62*q^508+24359976018*p^60*q^510+ 164130393089*p^58*q^512+868925780704*p^56*q^514+2935981560656*p^54*q^516+ 4540939926338*p^52*q^518+2488842231481*p^50*q^520+583189214666*p^48*q^522+ 90710228214*p^46*q^524+10835009882*p^44*q^526+898363838*p^42*q^528+66362646*p^ 40*q^530+2572986*p^38*q^532+253366*p^36*q^534+1484*p^34*q^536+24*p^71*q^498+ 130484*p^69*q^500+6848970*p^67*q^502+88317672*p^65*q^504+971022536*p^63*q^506+ 8119693716*p^61*q^508+61041629458*p^59*q^510+371284737571*p^57*q^512+ 1650882623120*p^55*q^514+4023470143207*p^53*q^516+3859306458174*p^51*q^518+ 1342982812305*p^49*q^520+247907064356*p^47*q^522+34285840811*p^45*q^524+ 3531162808*p^43*q^526+267193134*p^41*q^528+15621650*p^39*q^530+1216820*p^37*q^ 532+40534*p^35*q^534+216*p^72*q^496+4676*p^70*q^498+903942*p^68*q^500+26505084* p^66*q^502+267516000*p^64*q^504+2633477902*p^62*q^506+21392215277*p^60*q^508+ 146222118062*p^58*q^510+784627272774*p^56*q^512+2749221032728*p^54*q^514+ 4456279467188*p^52*q^516+2597740662784*p^50*q^518+628064072645*p^48*q^520+ 99559623084*p^46*q^522+12055336432*p^44*q^524+1022825552*p^42*q^526+77827184*p^ 40*q^528+2876466*p^38*q^530+307916*p^36*q^532+2456*p^34*q^534+24*p^71*q^496+ 79656*p^69*q^498+4734168*p^67*q^500+78067936*p^65*q^502+836303010*p^63*q^504+ 7108035002*p^61*q^506+53889767483*p^59*q^508+333545623858*p^57*q^510+ 1510307928029*p^55*q^512+3854915878954*p^53*q^514+3893643899615*p^51*q^516+ 1428044926656*p^49*q^518+268850660645*p^47*q^520+37836966980*p^45*q^522+ 3972674660*p^43*q^524+295451296*p^41*q^526+18100056*p^39*q^528+933324*p^37*q^ 530+42837*p^35*q^532+68*p^33*q^534+8*p^72*q^494+624*p^70*q^496+606142*p^68*q^ 498+22901052*p^66*q^500+228948582*p^64*q^502+2324267560*p^62*q^504+18884754796* p^60*q^506+130093478801*p^58*q^508+711321961404*p^56*q^510+2556467414523*p^54*q ^512+4377774685298*p^52*q^514+2688599212773*p^50*q^516+677262737434*p^48*q^518+ 108705926553*p^46*q^520+13461707128*p^44*q^522+1181410914*p^42*q^524+88984570*p ^40*q^526+3880288*p^38*q^528+419108*p^36*q^530+8400*p^34*q^532+1372*p^71*q^494+ 54182*p^69*q^496+4005266*p^67*q^498+68619748*p^65*q^500+719918918*p^63*q^502+ 6216042062*p^61*q^504+47696333294*p^59*q^506+297932113484*p^57*q^508+ 1383927748388*p^55*q^510+3659827890286*p^53*q^512+3934317788616*p^51*q^514+ 1512281793456*p^49*q^516+292459441848*p^47*q^518+41774517038*p^45*q^520+ 4504342600*p^43*q^522+329668518*p^41*q^524+22705006*p^39*q^526+766659*p^37*q^ 528+56434*p^35*q^530+84*p^33*q^532+824*p^70*q^494+444828*p^68*q^496+17194944*p^ 66*q^498+195325452*p^64*q^500+2033886564*p^62*q^502+16504102359*p^60*q^504+ 115753460090*p^58*q^506+640447255119*p^56*q^508+2382499834090*p^54*q^510+ 4269408123750*p^52*q^512+2790702401114*p^50*q^514+727239095815*p^48*q^516+ 118966319154*p^46*q^518+14984347966*p^44*q^520+1352532170*p^42*q^522+99443790*p ^40*q^524+4419568*p^38*q^526+387474*p^36*q^528+7644*p^34*q^530+488*p^71*q^492+ 14360*p^69*q^494+2696190*p^67*q^496+61385492*p^65*q^498+612392318*p^63*q^500+ 5447625196*p^61*q^502+42130038399*p^59*q^504+267094348316*p^57*q^506+ 1262095956084*p^55*q^508+3485756060552*p^53*q^510+3943006281990*p^51*q^512+ 1601923711462*p^49*q^514+316458610623*p^47*q^516+46017016458*p^45*q^518+ 5017674759*p^43*q^520+371399696*p^41*q^522+26611998*p^39*q^524+875806*p^37*q^ 526+93650*p^35*q^528+940*p^33*q^530+4700*p^70*q^492+341208*p^68*q^494+14386580* p^66*q^496+170137964*p^64*q^498+1782802529*p^62*q^500+14533139124*p^60*q^502+ 102677029712*p^58*q^504+579135299986*p^56*q^506+2205505706649*p^54*q^508+ 4165292135962*p^52*q^510+2873015667680*p^50*q^512+782167082402*p^48*q^514+ 129768789112*p^46*q^516+16705016644*p^44*q^518+1565045932*p^42*q^520+110970864* p^40*q^522+5808568*p^38*q^524+287854*p^36*q^526+7508*p^34*q^528+8*p^71*q^490+ 10988*p^69*q^492+2035684*p^67*q^494+51634024*p^65*q^496+520720548*p^63*q^498+ 4773782459*p^61*q^500+37201753178*p^59*q^502+238175647277*p^57*q^504+ 1152830673406*p^55*q^506+3291369575695*p^53*q^508+3957860040250*p^51*q^510+ 1688103864475*p^49*q^512+343769041124*p^47*q^514+50587489089*p^45*q^516+ 5648383472*p^43*q^518+425894060*p^41*q^520+31474730*p^39*q^522+988188*p^37*q^ 524+131014*p^35*q^526+1757*p^33*q^528+5296*p^70*q^490+172524*p^68*q^492+ 11049172*p^66*q^494+149368186*p^64*q^496+1550529776*p^62*q^498+12693951356*p^60 *q^500+91170940708*p^58*q^502+520204582487*p^56*q^504+2046532898454*p^54*q^506+ 4036092235119*p^52*q^508+2962079689522*p^50*q^510+838193585954*p^48*q^512+ 141663639210*p^46*q^514+18552007021*p^44*q^516+1782970310*p^42*q^518+119776594* p^40*q^520+7043404*p^38*q^522+243437*p^36*q^524+11766*p^34*q^526+32*p^32*q^528+ 8*p^71*q^488+12100*p^69*q^490+1562002*p^67*q^492+42997132*p^65*q^494+440785765* p^63*q^496+4191825080*p^61*q^498+32739728782*p^59*q^500+213076240272*p^57*q^502 +1047536552794*p^55*q^504+3117774083178*p^53*q^506+3940729408729*p^51*q^508+ 1780665167922*p^49*q^510+371359078741*p^47*q^512+55603926394*p^45*q^514+ 6308387962*p^43*q^516+492301310*p^41*q^518+36639660*p^39*q^520+1278498*p^37*q^ 522+101818*p^35*q^524+660*p^33*q^526+664*p^70*q^488+93960*p^68*q^490+8209174*p^ 66*q^492+132357756*p^64*q^494+1342915307*p^62*q^496+11147796318*p^60*q^498+ 80791955049*p^58*q^500+469218825402*p^56*q^502+1886622065294*p^54*q^504+ 3914932664994*p^52*q^506+3030959254873*p^50*q^508+898035519620*p^48*q^510+ 154198057860*p^46*q^512+20620342868*p^44*q^514+2016772168*p^42*q^516+132860226* p^40*q^518+8469758*p^38*q^520+209978*p^36*q^522+30878*p^34*q^524+288*p^32*q^526 +25600*p^69*q^488+1124370*p^67*q^490+36756560*p^65*q^492+379318630*p^63*q^494+ 3680421088*p^61*q^496+28906779430*p^59*q^498+189642083811*p^57*q^500+ 953780159196*p^55*q^502+2927660259098*p^53*q^504+3927675761930*p^51*q^506+ 1867272630768*p^49*q^508+402710078982*p^47*q^510+61003514150*p^45*q^512+ 7094839444*p^43*q^514+581996226*p^41*q^516+40850102*p^39*q^518+1765644*p^37*q^ 520+95740*p^35*q^522+732*p^33*q^524+464*p^70*q^486+59610*p^68*q^488+6307826*p^ 66*q^490+112495552*p^64*q^492+1146405320*p^62*q^494+9717517544*p^60*q^496+ 71504359828*p^58*q^498+420277498516*p^56*q^500+1743288545608*p^54*q^502+ 3767930533454*p^52*q^504+3108414817462*p^50*q^506+959376187694*p^48*q^508+ 168107830880*p^46*q^510+22827017537*p^44*q^512+2277563356*p^42*q^514+146779084* p^40*q^516+10541766*p^38*q^518+225984*p^36*q^520+26904*p^34*q^522+28*p^32*q^524 +10712*p^69*q^486+650888*p^67*q^488+28739250*p^65*q^490+327331234*p^63*q^492+ 3228817680*p^61*q^494+25387475035*p^59*q^496+169383105872*p^57*q^498+ 864521369328*p^55*q^500+2758843162620*p^53*q^502+3885774602586*p^51*q^504+ 1959023008988*p^49*q^506+434296941691*p^47*q^508+66812473916*p^45*q^510+ 7907421877*p^43*q^512+669065432*p^41*q^514+44045338*p^39*q^516+1977018*p^37*q^ 518+57610*p^35*q^520+4440*p^33*q^522+20*p^31*q^524+16*p^70*q^484+76240*p^68*q^ 486+4922242*p^66*q^488+100213660*p^64*q^490+986102977*p^62*q^492+8560040126*p^ 60*q^494+63258524699*p^58*q^496+378263665414*p^56*q^498+1600112185436*p^54*q^ 500+3632678722632*p^52*q^502+3157462043484*p^50*q^504+1025373155852*p^48*q^506+ 182603390581*p^46*q^508+25308870990*p^44*q^510+2571733034*p^42*q^512+172614456* p^40*q^514+12742536*p^38*q^516+397766*p^36*q^518+31369*p^34*q^520+22*p^32*q^522 +6128*p^69*q^484+426408*p^67*q^486+23114784*p^65*q^488+280879336*p^63*q^490+ 2813344785*p^61*q^492+22294801912*p^59*q^494+150390448157*p^57*q^496+ 784480450686*p^55*q^498+2578236328090*p^53*q^500+3847091784074*p^51*q^502+ 2044646200291*p^49*q^504+469946901012*p^47*q^506+73166528960*p^45*q^508+ 8890270808*p^43*q^510+773669656*p^41*q^512+47020726*p^39*q^514+2585666*p^37*q^ 516+32714*p^35*q^518+5636*p^33*q^520+3*p^72*q^480+72108*p^68*q^484+3505856*p^66 *q^486+83885988*p^64*q^488+843914982*p^62*q^490+7470321139*p^60*q^492+ 55970746044*p^58*q^494+338166105461*p^56*q^496+1472721193298*p^54*q^498+ 3474967426534*p^52*q^500+3217970517464*p^50*q^502+1090281806936*p^48*q^504+ 198769720448*p^46*q^506+27875452406*p^44*q^508+2889196746*p^42*q^510+201148318* p^40*q^512+14612172*p^38*q^514+453652*p^36*q^516+22548*p^34*q^518+316*p^32*q^ 520+1364*p^69*q^482+259612*p^67*q^484+17695440*p^65*q^486+246415340*p^63*q^488+ 2439060970*p^61*q^490+19557963286*p^59*q^492+133932544294*p^57*q^494+ 708758259151*p^55*q^496+2416863027094*p^53*q^498+3780664517726*p^51*q^500+ 2133924490852*p^49*q^502+506112037777*p^47*q^504+80021225148*p^45*q^506+ 9916634079*p^43*q^508+882092402*p^41*q^510+50609876*p^39*q^512+3175142*p^37*q^ 514+66372*p^35*q^516+6140*p^33*q^518+8*p^70*q^480+45052*p^68*q^482+2430482*p^66 *q^484+71764884*p^64*q^486+718473490*p^62*q^488+6591086198*p^60*q^490+ 49389722051*p^58*q^492+303671975150*p^56*q^494+1347371251328*p^54*q^496+ 3329381420090*p^52*q^498+3248897652479*p^50*q^500+1161141276758*p^48*q^502+ 215511221883*p^46*q^504+30762179072*p^44*q^506+3244743402*p^42*q^508+238999738* p^40*q^510+16105068*p^38*q^512+593174*p^36*q^514+6900*p^34*q^516+944*p^32*q^518 +48*p^71*q^478+48*p^69*q^480+299858*p^67*q^482+14302124*p^65*q^484+214618886*p^ 63*q^486+2122189307*p^61*q^488+17156009548*p^59*q^490+118704048806*p^57*q^492+ 641426144776*p^55*q^494+2247122872556*p^53*q^496+3718153288894*p^51*q^498+ 2213781824087*p^49*q^500+546308190426*p^47*q^502+87466316905*p^45*q^504+ 11115156136*p^43*q^506+1011858339*p^41*q^508+57766260*p^39*q^510+4120984*p^37*q ^512+97948*p^35*q^514+7730*p^33*q^516+8*p^31*q^518+22622*p^68*q^480+1441986*p^ 66*q^482+57060652*p^64*q^484+613185522*p^62*q^486+5728051859*p^60*q^488+ 43546535422*p^58*q^490+270858919696*p^56*q^492+1235041843372*p^54*q^494+ 3167097941487*p^52*q^496+3287568255140*p^50*q^498+1230523753699*p^48*q^500+ 234436058958*p^46*q^502+33786276429*p^44*q^504+3659528066*p^42*q^506+276813072* p^40*q^508+16439792*p^38*q^510+666936*p^36*q^512+6982*p^34*q^514+588*p^32*q^516 +408*p^69*q^478+227775*p^67*q^480+10756962*p^65*q^482+187273584*p^63*q^484+ 1828904876*p^61*q^486+15048112985*p^59*q^488+105599741760*p^57*q^490+ 577786174046*p^55*q^492+2096890961678*p^53*q^494+3629806302390*p^51*q^496+ 2298105748674*p^49*q^498+586648523098*p^47*q^500+95327167440*p^45*q^502+ 12348489196*p^43*q^504+1133128746*p^41*q^506+67009264*p^39*q^508+5094838*p^37*q ^510+133708*p^35*q^512+2390*p^33*q^514+98*p^31*q^516+318*p^70*q^476+3004*p^68*q ^478+1145624*p^66*q^480+46990768*p^64*q^482+531163378*p^62*q^484+5031371556*p^ 60*q^486+38346922814*p^58*q^488+242548517844*p^56*q^490+1125778698106*p^54*q^ 492+3017069088824*p^52*q^494+3298232039479*p^50*q^496+1304302995166*p^48*q^498+ 254010607160*p^46*q^500+37263750472*p^44*q^502+4124833900*p^42*q^504+328876056* p^40*q^506+17744710*p^38*q^508+855800*p^36*q^510+15892*p^34*q^512+1738*p^32*q^ 514+36*p^69*q^476+172138*p^67*q^478+7524516*p^65*q^480+161467920*p^63*q^482+ 1563557628*p^61*q^484+13214850596*p^59*q^486+93389496513*p^57*q^488+ 521641826574*p^55*q^490+1940324351162*p^53*q^492+3546318119506*p^51*q^494+ 2369883686208*p^49*q^496+631729594724*p^47*q^498+103922799182*p^45*q^500+ 13728664008*p^43*q^502+1285151066*p^41*q^504+78646784*p^39*q^506+5465440*p^37*q ^508+156956*p^35*q^510+692*p^33*q^512+16*p^31*q^514+84*p^70*q^474+5820*p^68*q^ 476+957184*p^66*q^478+38324660*p^64*q^480+457280882*p^62*q^482+4386085184*p^60* q^484+33722972744*p^58*q^486+215858655152*p^56*q^488+1028174311826*p^54*q^490+ 2852269249305*p^52*q^492+3315990194908*p^50*q^494+1376414832026*p^48*q^496+ 275748388538*p^46*q^498+40842330380*p^44*q^500+4671437726*p^42*q^502+378103558* p^40*q^504+19156380*p^38*q^506+1305690*p^36*q^508+23808*p^34*q^510+672*p^32*q^ 512+4*p^30*q^514+1172*p^69*q^474+57080*p^67*q^476+5039126*p^65*q^478+133135450* p^63*q^480+1339761336*p^61*q^482+11524980264*p^59*q^484+82827701974*p^57*q^486+ 468657809565*p^55*q^488+1802583151402*p^53*q^490+3439490803751*p^51*q^492+ 2445889887992*p^49*q^494+676742911866*p^47*q^496+113329196330*p^45*q^498+ 15167059347*p^43*q^500+1440139494*p^41*q^502+93502686*p^39*q^504+5741276*p^37*q ^506+129264*p^35*q^508+1592*p^33*q^510+229*p^31*q^512+1280*p^68*q^474+804384*p^ 66*q^476+30108888*p^64*q^478+405223348*p^62*q^480+3830384272*p^60*q^482+ 29709810308*p^58*q^484+193041282478*p^56*q^486+934251708126*p^54*q^488+ 2702569984900*p^52*q^490+3302870847004*p^50*q^492+1452433876552*p^48*q^494+ 298222717440*p^46*q^496+44736696860*p^44*q^498+5253560952*p^42*q^500+433185604* p^40*q^502+21527134*p^38*q^504+1596390*p^36*q^506+43588*p^34*q^508+160*p^32*q^ 510+1074*p^69*q^472+45816*p^67*q^474+4039823*p^65*q^476+114024716*p^63*q^478+ 1142112292*p^61*q^480+10128936238*p^59*q^482+73048842098*p^57*q^484+ 421648920908*p^55*q^486+1660436060229*p^53*q^488+3339054049594*p^51*q^490+ 2505774632284*p^49*q^492+726852052542*p^47*q^494+123435020684*p^45*q^496+ 16910617938*p^43*q^498+1642658904*p^41*q^500+115015856*p^39*q^502+6265152*p^37* q^504+240632*p^35*q^506+2360*p^33*q^508+112*p^31*q^510+3195*p^68*q^472+482388*p ^66*q^474+21601842*p^64*q^476+343450600*p^62*q^478+3304662344*p^60*q^480+ 26033970480*p^58*q^482+171356934716*p^56*q^484+850362390470*p^54*q^486+ 2541884444409*p^52*q^488+3298911409406*p^50*q^490+1525304035980*p^48*q^492+ 323169070396*p^46*q^494+48948999089*p^44*q^496+5870701134*p^42*q^498+485846570* p^40*q^500+23939140*p^38*q^502+1710796*p^36*q^504+22072*p^34*q^506+72*p^32*q^ 508+14*p^30*q^510+80*p^69*q^470+21120*p^67*q^472+3060302*p^65*q^474+95110002*p^ 63*q^476+990117610*p^61*q^478+8852324847*p^59*q^480+64741851298*p^57*q^482+ 377969337382*p^55*q^484+1535632644034*p^53*q^486+3217509957626*p^51*q^488+ 2570773579920*p^49*q^490+775343220914*p^47*q^492+134403670858*p^45*q^494+ 18568458467*p^43*q^496+1871220718*p^41*q^498+135013302*p^39*q^500+6408818*p^37* q^502+369054*p^35*q^504+9460*p^33*q^506+28*p^31*q^508+5596*p^68*q^470+286292*p^ 66*q^472+16566396*p^64*q^474+297187307*p^62*q^476+2852178020*p^60*q^478+ 22875923440*p^58*q^480+152718411768*p^56*q^482+770040136857*p^54*q^484+ 2394260525956*p^52*q^486+3265176596874*p^50*q^488+1601892342940*p^48*q^490+ 349301959968*p^46*q^492+53588673602*p^44*q^494+6603717880*p^42*q^496+550606708* p^40*q^498+29940262*p^38*q^500+2009958*p^36*q^502+28692*p^34*q^504+88*p^32*q^ 506+8*p^30*q^508+72*p^69*q^468+12792*p^67*q^470+2459320*p^65*q^472+76467712*p^ 63*q^474+853287900*p^61*q^476+7765904820*p^59*q^478+56969188981*p^57*q^480+ 339533409238*p^55*q^482+1408980841618*p^53*q^484+3104087960180*p^51*q^486+ 2616907666620*p^49*q^488+830242478784*p^47*q^490+145972551997*p^45*q^492+ 20536645678*p^43*q^494+2118966492*p^41*q^496+157765642*p^39*q^498+6589024*p^37* q^500+442534*p^35*q^502+6976*p^33*q^504+2020*p^68*q^468+195732*p^66*q^470+ 12145179*p^64*q^472+255676690*p^62*q^474+2446798264*p^60*q^476+20029823398*p^58 *q^478+135349468104*p^56*q^480+698285834164*p^54*q^482+2239796091487*p^52*q^484 +3237138538402*p^50*q^486+1673513839862*p^48*q^488+377792627032*p^46*q^490+ 58571382254*p^44*q^492+7384243468*p^42*q^494+627692656*p^40*q^496+36853214*p^38 *q^498+2088394*p^36*q^500+60652*p^34*q^502+1088*p^32*q^504+2*p^30*q^506+18798*p ^67*q^468+1559582*p^65*q^470+59568480*p^63*q^472+732258408*p^61*q^474+ 6751148086*p^59*q^476+50317676220*p^57*q^478+303355709504*p^55*q^480+ 1297931853788*p^53*q^482+2972932969497*p^51*q^484+2667541477458*p^49*q^486+ 883354357155*p^47*q^488+158838576386*p^45*q^490+22505529836*p^43*q^492+ 2402488296*p^41*q^494+176870122*p^39*q^496+7138406*p^37*q^498+532832*p^35*q^500 +1948*p^33*q^502+1068*p^68*q^466+88060*p^66*q^468+9653006*p^64*q^470+218892404* p^62*q^472+2115827668*p^60*q^474+17584387113*p^58*q^476+120428038614*p^56*q^478 +630655125237*p^54*q^480+2099695021148*p^52*q^482+3182783205718*p^50*q^484+ 1747563023052*p^48*q^486+407020204333*p^46*q^488+63981521102*p^44*q^490+ 8221773561*p^42*q^492+713293510*p^40*q^494+46268836*p^38*q^496+2127244*p^36*q^ 498+91648*p^34*q^500+2040*p^32*q^502+16024*p^67*q^466+1176748*p^65*q^468+ 46631364*p^63*q^470+634983000*p^61*q^472+5885800256*p^59*q^474+44228418408*p^57 *q^476+271608063652*p^55*q^478+1185871859558*p^53*q^480+2850050380758*p^51*q^ 482+2697626888789*p^49*q^484+941925993592*p^47*q^486+172664060655*p^45*q^488+ 24827978950*p^43*q^490+2736465860*p^41*q^492+205761936*p^39*q^494+8619376*p^37* q^496+616116*p^35*q^498+6556*p^33*q^500+40*p^31*q^502+168*p^68*q^464+80904*p^66 *q^466+7132946*p^64*q^468+180807626*p^62*q^470+1803490752*p^60*q^472+ 15391949768*p^58*q^474+106339615803*p^56*q^476+570373467284*p^54*q^478+ 1953612347056*p^52*q^480+3135650454612*p^50*q^482+1815548131181*p^48*q^484+ 439427047868*p^46*q^486+69707666222*p^44*q^488+9133706792*p^42*q^490+812170396* p^40*q^492+53041834*p^38*q^494+2028648*p^36*q^496+122380*p^34*q^498+60*p^32*q^ 500+8656*p^67*q^464+625488*p^65*q^466+35270092*p^63*q^468+549198446*p^61*q^470+ 5100581881*p^59*q^472+38948727666*p^57*q^474+242337750853*p^55*q^476+ 1087633119096*p^53*q^478+2713527952412*p^51*q^480+2731912075820*p^49*q^482+ 998283944697*p^47*q^484+187498638384*p^45*q^486+27173587442*p^43*q^488+ 3091476618*p^41*q^490+229360317*p^39*q^492+11283724*p^37*q^494+662894*p^35*q^ 496+12448*p^33*q^498+344*p^31*q^500+8*p^68*q^462+69885*p^66*q^464+5364958*p^64* q^466+150128044*p^62*q^468+1561417360*p^60*q^470+13468800383*p^58*q^472+ 94490013764*p^56*q^474+513240171855*p^54*q^476+1822966050844*p^52*q^478+ 3060968628236*p^50*q^480+1885779224258*p^48*q^482+472403170048*p^46*q^484+ 76115805612*p^44*q^486+10109563898*p^42*q^488+933419214*p^40*q^490+63726290*p^ 38*q^492+1999838*p^36*q^494+141556*p^34*q^496+428*p^32*q^498+3592*p^67*q^462+ 478744*p^65*q^464+27808396*p^63*q^466+473644467*p^61*q^468+4405732372*p^59*q^ 470+34196975676*p^57*q^472+216313811502*p^55*q^474+990394687465*p^53*q^476+ 2585355924240*p^51*q^478+2744032128523*p^49*q^480+1060349032156*p^47*q^482+ 203439632853*p^45*q^484+29878892538*p^43*q^486+3498500656*p^41*q^488+262641988* p^39*q^490+14227140*p^37*q^492+704278*p^35*q^494+25420*p^33*q^496+84*p^68*q^460 +54622*p^66*q^462+3596411*p^64*q^464+119001726*p^62*q^466+1333712028*p^60*q^468 +11786666248*p^58*q^470+83213899974*p^56*q^472+462831698750*p^54*q^474+ 1687885554354*p^52*q^476+2996312275600*p^50*q^478+1946995637458*p^48*q^480+ 508795447034*p^46*q^482+82875440865*p^44*q^484+11194343322*p^42*q^486+ 1067276978*p^40*q^488+72405152*p^38*q^490+2301280*p^36*q^492+162390*p^34*q^494+ 892*p^32*q^496+24*p^30*q^498+424*p^67*q^460+300896*p^65*q^462+20992446*p^63*q^ 464+405278904*p^61*q^466+3801995164*p^59*q^468+30037055768*p^57*q^470+ 192472788082*p^55*q^472+904989817330*p^53*q^474+2447183895531*p^51*q^476+ 2760167074332*p^49*q^478+1118501217170*p^47*q^480+220735511768*p^45*q^482+ 32629710403*p^43*q^484+3914702978*p^41*q^486+297141504*p^39*q^488+17289436*p^37 *q^490+582168*p^35*q^492+26408*p^33*q^494+12*p^31*q^496+8*p^68*q^458+31512*p^66 *q^460+2514880*p^64*q^462+95594095*p^62*q^464+1159100894*p^60*q^466+10280007251 *p^58*q^468+73747751576*p^56*q^470+415433416679*p^54*q^472+1566977742592*p^52*q ^474+2906209703679*p^50*q^476+2010713705366*p^48*q^478+545532573663*p^46*q^480+ 90387303098*p^44*q^482+12330722322*p^42*q^484+1236556888*p^40*q^486+82444410*p^ 38*q^488+3199618*p^36*q^490+218278*p^34*q^492+3784*p^32*q^494+1356*p^67*q^458+ 269084*p^65*q^460+16109744*p^63*q^462+342370873*p^61*q^464+3270189908*p^59*q^ 466+26312539379*p^57*q^468+171439591504*p^55*q^470+820946185410*p^53*q^472+ 2318459633738*p^51*q^474+2753666174318*p^49*q^476+1182616571070*p^47*q^478+ 239094704547*p^45*q^480+35783537348*p^43*q^482+4399915034*p^41*q^484+341150298* p^39*q^486+21511472*p^37*q^488+530806*p^35*q^490+28676*p^33*q^492+24*p^31*q^494 +9608*p^66*q^458+1672734*p^64*q^460+74254174*p^62*q^462+996964201*p^60*q^464+ 8944794878*p^58*q^466+64859868884*p^56*q^468+373386890672*p^54*q^470+ 1444543215184*p^52*q^472+2825007878662*p^50*q^474+2063100737956*p^48*q^476+ 586081957970*p^46*q^478+98334172146*p^44*q^480+13626977608*p^42*q^482+ 1404200962*p^40*q^484+93337628*p^38*q^486+3895380*p^36*q^488+193378*p^34*q^490+ 4960*p^32*q^492+392*p^67*q^456+187678*p^65*q^458+11315966*p^63*q^460+285265404* p^61*q^462+2804715297*p^59*q^464+23100177780*p^57*q^466+152049636839*p^55*q^468 +747443612196*p^53*q^470+2182231820533*p^51*q^472+2750794684764*p^49*q^474+ 1241903503215*p^47*q^476+258913090306*p^45*q^478+39031722444*p^43*q^480+ 4883153732*p^41*q^482+396158244*p^39*q^484+24457316*p^37*q^486+610952*p^35*q^ 488+48384*p^33*q^490+296*p^31*q^492+10178*p^66*q^456+1186416*p^64*q^458+ 59366452*p^62*q^460+863171060*p^60*q^462+7782156026*p^58*q^464+57313811690*p^56 *q^466+334297752659*p^54*q^468+1335328103688*p^52*q^470+2722888345084*p^50*q^ 472+2117297858852*p^48*q^474+626257978361*p^46*q^476+107226124338*p^44*q^478+ 14966436993*p^42*q^480+1612335514*p^40*q^482+104248754*p^38*q^484+5467720*p^36* q^486+162504*p^34*q^488+3360*p^32*q^490+24*p^67*q^454+96292*p^65*q^456+8423594* p^63*q^458+233172686*p^61*q^460+2421536320*p^59*q^462+20184024497*p^57*q^464+ 135114239222*p^55*q^466+675628604985*p^53*q^468+2055647509168*p^51*q^470+ 2725977150845*p^49*q^472+1305761415002*p^47*q^474+280098002082*p^45*q^476+ 42689817282*p^43*q^478+5453335836*p^41*q^480+461684762*p^39*q^482+28998200*p^37 *q^484+723476*p^35*q^486+57460*p^33*q^488+860*p^31*q^490+6560*p^66*q^454+959138 *p^64*q^456+44814828*p^62*q^458+738889129*p^60*q^460+6718450668*p^58*q^462+ 50280586456*p^56*q^464+299587912852*p^54*q^466+1225109106605*p^52*q^468+ 2630247880444*p^50*q^470+2158464481240*p^48*q^472+670954227448*p^46*q^474+ 116513535008*p^44*q^476+16496710850*p^42*q^478+1821146156*p^40*q^480+119046414* p^38*q^482+6584406*p^36*q^484+144356*p^34*q^486+7052*p^32*q^488+8*p^30*q^490+ 60546*p^65*q^454+5473028*p^63*q^456+188839208*p^61*q^458+2079448815*p^59*q^460+ 17685195250*p^57*q^462+119578717395*p^55*q^464+613024878436*p^53*q^466+ 1924215588581*p^51*q^468+2705059830920*p^49*q^470+1364668566980*p^47*q^472+ 302593769242*p^45*q^474+46498743018*p^43*q^476+6034335578*p^41*q^478+534485396* p^39*q^480+31589714*p^37*q^482+1051164*p^35*q^484+44414*p^33*q^486+224*p^31*q^ 488+1144*p^66*q^452+601208*p^64*q^454+34449162*p^62*q^456+634940474*p^60*q^458+ 5807091921*p^58*q^460+44353817176*p^56*q^462+267465276564*p^54*q^464+ 1127823236320*p^52*q^466+2518512821294*p^50*q^468+2200752665874*p^48*q^470+ 714287077318*p^46*q^472+126946410680*p^44*q^474+18070376709*p^42*q^476+ 2060059892*p^40*q^478+138630532*p^38*q^480+8288940*p^36*q^482+120034*p^34*q^484 +12740*p^32*q^486+92*p^30*q^488+56*p^67*q^450+54218*p^65*q^452+4441076*p^63*q^ 454+153217388*p^61*q^456+1795146176*p^59*q^458+15432777335*p^57*q^460+ 105971730478*p^55*q^462+552261671072*p^53*q^464+1803065041750*p^51*q^466+ 2660977915231*p^49*q^468+1427841879124*p^47*q^470+326852065714*p^45*q^472+ 50846831402*p^43*q^474+6704018800*p^41*q^476+626715628*p^39*q^478+36075716*p^37 *q^480+1532108*p^35*q^482+49434*p^33*q^484+640*p^31*q^486+368*p^66*q^450+371132 *p^64*q^452+24276772*p^62*q^454+527136346*p^60*q^456+4995948506*p^58*q^458+ 38764476986*p^56*q^460+238897167784*p^54*q^462+1030652284164*p^52*q^464+ 2417700272272*p^50*q^466+2228827639499*p^48*q^468+762201899872*p^46*q^470+ 137748548373*p^44*q^472+19835360354*p^42*q^474+2311022954*p^40*q^476+160810640* p^38*q^478+9155268*p^36*q^480+137370*p^34*q^482+9640*p^32*q^484+8*p^30*q^486+20 *p^67*q^448+20656*p^65*q^450+3040262*p^63*q^452+120589738*p^61*q^454+1553085662 *p^59*q^456+13464040966*p^57*q^458+93633539762*p^55*q^460+499633096262*p^53*q^ 462+1679071609212*p^51*q^464+2623492976876*p^49*q^466+1482577314960*p^47*q^468+ 352685726862*p^45*q^470+55391091947*p^43*q^472+7399212430*p^41*q^474+714411990* p^39*q^476+39795092*p^37*q^478+2045812*p^35*q^480+25196*p^33*q^482+1852*p^31*q^ 484+4*p^29*q^486+792*p^66*q^448+290204*p^64*q^450+18576464*p^62*q^452+445662444 *p^60*q^454+4309057347*p^58*q^456+34137179152*p^56*q^458+212587434194*p^54*q^ 460+944097474956*p^52*q^462+2301127195159*p^50*q^464+2257326321098*p^48*q^466+ 808541539001*p^46*q^468+149782948494*p^44*q^470+21658691210*p^42*q^472+ 2604474002*p^40*q^474+193364598*p^38*q^476+10885886*p^36*q^478+276880*p^34*q^ 480+13148*p^32*q^482+28*p^30*q^484+4*p^67*q^446+8278*p^65*q^448+2080250*p^63*q^ 450+93108278*p^61*q^452+1332737672*p^59*q^454+11666706958*p^57*q^456+ 82748393040*p^55*q^458+448744677231*p^53*q^460+1565723133492*p^51*q^462+ 2563784654235*p^49*q^464+1542989505912*p^47*q^466+379721482335*p^45*q^468+ 60563430042*p^43*q^470+8198173327*p^41*q^472+821251598*p^39*q^474+45132382*p^37 *q^476+2426868*p^35*q^478+11844*p^33*q^480+1800*p^31*q^482+384*p^66*q^446+ 191366*p^64*q^448+13729342*p^62*q^450+367102648*p^60*q^452+3706793980*p^58*q^ 454+29863297904*p^56*q^456+189475367922*p^54*q^458+859295911342*p^52*q^460+ 2194269218938*p^50*q^462+2270621823656*p^48*q^464+859166573006*p^46*q^466+ 162372792197*p^44*q^468+23699870404*p^42*q^470+2895245716*p^40*q^472+227498742* p^38*q^474+12023136*p^36*q^476+409974*p^34*q^478+8720*p^32*q^480+164*p^30*q^482 +22*p^67*q^444+5932*p^65*q^446+1381488*p^63*q^448+70003330*p^61*q^450+ 1135999523*p^59*q^452+10124349634*p^57*q^454+72776836693*p^55*q^456+ 404285300794*p^53*q^458+1450706880814*p^51*q^460+2510222525640*p^49*q^462+ 1593457117430*p^47*q^464+409024470826*p^45*q^466+65942055280*p^43*q^468+ 9038602306*p^41*q^470+937823642*p^39*q^472+53265374*p^37*q^474+2827976*p^35*q^ 476+33132*p^33*q^478+1976*p^31*q^480+80*p^66*q^444+92168*p^64*q^446+9875092*p^ 62*q^448+300901780*p^60*q^450+3205858298*p^58*q^452+26211112928*p^56*q^454+ 168341273673*p^54*q^456+784876040324*p^52*q^458+2076419831273*p^50*q^460+ 2283684158432*p^48*q^462+907197388661*p^46*q^464+176247468236*p^44*q^466+ 25850057036*p^42*q^468+3223066932*p^40*q^470+264339913*p^38*q^472+12634244*p^36 *q^474+583474*p^34*q^476+756*p^32*q^478+244*p^30*q^480+4492*p^65*q^444+1100516* p^63*q^446+54750930*p^61*q^448+975199630*p^59*q^450+8745001805*p^57*q^452+ 64208911540*p^55*q^454+361881128270*p^53*q^456+1345253742614*p^51*q^458+ 2436465582138*p^49*q^460+1647436529160*p^47*q^462+439359584945*p^45*q^464+ 72058730824*p^43*q^466+9943956527*p^41*q^468+1080040570*p^39*q^470+65609530*p^ 37*q^472+3681244*p^35*q^474+62110*p^33*q^476+2660*p^31*q^478+8*p^29*q^480+430*p ^66*q^442+50240*p^64*q^444+6795604*p^62*q^446+235413796*p^60*q^448+2742549312*p ^58*q^450+22802999195*p^56*q^452+149457704502*p^54*q^454+711320286067*p^52*q^ 456+1969466353268*p^50*q^458+2281618736636*p^48*q^460+959771497620*p^46*q^462+ 190977203450*p^44*q^464+28285527958*p^42*q^466+3601809452*p^40*q^468+304290520* p^38*q^470+13896506*p^36*q^472+602650*p^34*q^474+2048*p^32*q^476+160*p^30*q^478 +1582*p^65*q^442+670806*p^63*q^444+40337920*p^61*q^446+825844977*p^59*q^448+ 7573144258*p^57*q^450+56435990004*p^55*q^452+325200662524*p^53*q^454+ 1240791336204*p^51*q^456+2369536483476*p^49*q^458+1690729037968*p^47*q^460+ 471632758726*p^45*q^462+78207702702*p^43*q^464+10893409408*p^41*q^466+ 1198813924*p^39*q^468+78065792*p^37*q^470+3734206*p^35*q^472+112986*p^33*q^474+ 28*p^31*q^476+16*p^29*q^478+12*p^66*q^440+33504*p^64*q^442+4946382*p^62*q^444+ 189415474*p^60*q^446+2366697482*p^58*q^448+19948655120*p^56*q^450+132351069814* p^54*q^452+646882080256*p^52*q^454+1852203787969*p^50*q^456+2279761312598*p^48* q^458+1008682217121*p^46*q^460+207063086480*p^44*q^462+30969187482*p^42*q^464+ 4011737784*p^40*q^466+363817594*p^38*q^468+16752292*p^36*q^470+927524*p^34*q^ 472+6716*p^32*q^474+456*p^30*q^476+3716*p^65*q^440+413968*p^63*q^442+30500118*p ^61*q^444+687959174*p^59*q^446+6518217150*p^57*q^448+49656133866*p^55*q^450+ 290135998278*p^53*q^452+1145579935548*p^51*q^454+2284347096201*p^49*q^456+ 1737280515632*p^47*q^458+504989157652*p^45*q^460+85358442318*p^43*q^462+ 11894160551*p^41*q^464+1359747158*p^39*q^466+90339927*p^37*q^468+3905490*p^35*q ^470+127540*p^33*q^472+40*p^31*q^474+8*p^29*q^476+44*p^66*q^438+19976*p^64*q^ 440+3630948*p^62*q^442+145483462*p^60*q^444+2035882188*p^58*q^446+17300186084*p ^56*q^448+117197207002*p^54*q^450+584373715328*p^52*q^452+1746180807940*p^50*q^ 454+2261565239019*p^48*q^456+1061978199272*p^46*q^458+223963493130*p^44*q^460+ 33849174026*p^42*q^462+4462007900*p^40*q^464+417869062*p^38*q^466+20862820*p^36 *q^468+1059540*p^34*q^470+14012*p^32*q^472+912*p^65*q^438+222432*p^63*q^440+ 21106604*p^61*q^442+566489000*p^59*q^444+5611529204*p^57*q^446+43479491720*p^55 *q^448+259954038282*p^53*q^450+1051317049243*p^51*q^452+2207981316974*p^49*q^ 454+1770820296290*p^47*q^456+540660294870*p^45*q^458+92650701919*p^43*q^460+ 13028964130*p^41*q^462+1514959181*p^39*q^464+107226494*p^37*q^466+4005788*p^35* q^468+167164*p^33*q^470+448*p^31*q^472+32*p^29*q^474+21300*p^64*q^438+2491142*p ^62*q^440+114959858*p^60*q^442+1751225308*p^58*q^444+15083127276*p^56*q^446+ 103585454631*p^54*q^448+529337360376*p^52*q^450+1633818834934*p^50*q^452+ 2243666198486*p^48*q^454+1110017233630*p^46*q^456+242429836362*p^44*q^458+ 36935467152*p^42*q^460+4924335468*p^40*q^462+480701287*p^38*q^464+25175286*p^36 *q^466+1190010*p^34*q^468+27752*p^32*q^470+644*p^65*q^436+158884*p^63*q^438+ 16234212*p^61*q^440+460720474*p^59*q^442+4827291994*p^57*q^444+38147743150*p^55 *q^446+231138271475*p^53*q^448+966275705180*p^51*q^450+2114449897871*p^49*q^452 +1808177061908*p^47*q^454+576704577929*p^45*q^456+101000927532*p^43*q^458+ 14280316082*p^41*q^460+1722051188*p^39*q^462+129232168*p^37*q^464+4973110*p^35* q^466+240466*p^33*q^468+872*p^31*q^470+13622*p^64*q^436+1496076*p^62*q^438+ 84908699*p^60*q^440+1487092318*p^58*q^442+13016242625*p^56*q^444+91466389762*p^ 54*q^446+476428636233*p^52*q^448+1531570819306*p^50*q^450+2210627597504*p^48*q^ 452+1162369447618*p^46*q^454+261722148484*p^44*q^456+40357966028*p^42*q^458+ 5396673576*p^40*q^460+542418042*p^38*q^462+29199348*p^36*q^464+1079844*p^34*q^ 466+24220*p^32*q^468+12*p^30*q^470+84*p^65*q^434+118790*p^63*q^436+11665326*p^ 61*q^438+370366368*p^59*q^440+4163217674*p^57*q^442+33328227356*p^55*q^444+ 206379678890*p^53*q^446+883145047461*p^51*q^448+2029995318336*p^49*q^450+ 1831147350360*p^47*q^452+615269206260*p^45*q^454+109552880066*p^43*q^456+ 15624539678*p^41*q^458+1929835542*p^39*q^460+153210220*p^37*q^462+6182575*p^35* q^464+315294*p^33*q^466+4216*p^31*q^468+5332*p^64*q^434+949298*p^62*q^436+ 64229062*p^60*q^438+1258523953*p^58*q^440+11292236378*p^56*q^442+80548951364*p^ 54*q^444+430143447708*p^52*q^446+1425021718297*p^50*q^448+2178498150690*p^48*q^ 450+1207897135196*p^46*q^452+282801632822*p^44*q^454+44003109433*p^42*q^456+ 5932728000*p^40*q^458+615693536*p^38*q^460+35291452*p^36*q^462+1113776*p^34*q^ 464+38790*p^32*q^466+20*p^30*q^468+100564*p^63*q^434+8335364*p^61*q^436+ 295884796*p^59*q^438+3588208009*p^57*q^440+29135281494*p^55*q^442+183159046754* p^53*q^444+807991700370*p^51*q^446+1932580521846*p^49*q^448+1855920331754*p^47* q^450+653838038865*p^45*q^452+119265924580*p^43*q^454+17106451750*p^41*q^456+ 2164616626*p^39*q^458+180446554*p^37*q^460+7689060*p^35*q^462+346068*p^33*q^464 +4578*p^31*q^466+8*p^66*q^430+3104*p^64*q^432+721182*p^62*q^434+48057662*p^60*q ^436+1047169084*p^58*q^438+9695790473*p^56*q^440+70956986746*p^54*q^442+ 385427418887*p^52*q^444+1328717163162*p^50*q^446+2131029156542*p^48*q^448+ 1257978613834*p^46*q^450+304620703932*p^44*q^452+48044243382*p^42*q^454+ 6505565773*p^40*q^456+703219888*p^38*q^458+42282398*p^36*q^460+1320532*p^34*q^ 462+56654*p^32*q^464+312*p^30*q^466+8*p^65*q^430+44678*p^63*q^432+5150768*p^61* q^434+227399150*p^59*q^436+3080976588*p^57*q^438+25371639216*p^55*q^440+ 162921808772*p^53*q^442+735453139491*p^51*q^444+1844276540492*p^49*q^446+ 1867745230801*p^47*q^448+694358532762*p^45*q^450+129242012645*p^43*q^452+ 18710444332*p^41*q^454+2390616545*p^39*q^456+204598592*p^37*q^458+9061570*p^35* q^460+254620*p^33*q^462+3914*p^31*q^464+8*p^66*q^428+176*p^64*q^430+529172*p^62 *q^432+36395796*p^60*q^434+873629851*p^58*q^436+8411932524*p^56*q^438+ 62335956405*p^54*q^440+347023100922*p^52*q^442+1229875853621*p^50*q^444+ 2085255239178*p^48*q^446+1299058924332*p^46*q^448+328375867996*p^44*q^450+ 52310545326*p^42*q^452+7125637936*p^40*q^454+800140471*p^38*q^456+52918774*p^36 *q^458+1758734*p^34*q^460+101260*p^32*q^462+904*p^30*q^464+112*p^65*q^428+36124 *p^63*q^430+3886082*p^61*q^432+177904916*p^59*q^434+2632804180*p^57*q^436+ 22062979610*p^55*q^438+144078164382*p^53*q^440+669784124366*p^51*q^442+ 1743831020354*p^49*q^444+1880769349644*p^47*q^446+734879308936*p^45*q^448+ 140599122578*p^43*q^450+20506822889*p^41*q^452+2664479144*p^39*q^454+240428834* p^37*q^456+10650974*p^35*q^458+288726*p^33*q^460+5808*p^31*q^462+8*p^29*q^464+ 252*p^64*q^428+330852*p^62*q^430+25239934*p^60*q^432+704668854*p^58*q^434+ 7218487606*p^56*q^436+54728647966*p^54*q^438+310008514977*p^52*q^440+ 1141128293056*p^50*q^442+2026340154714*p^48*q^444+1344419159808*p^46*q^446+ 352815522656*p^44*q^448+57021460746*p^42*q^450+7774952897*p^40*q^452+907019862* p^38*q^454+60794304*p^36*q^456+2202264*p^34*q^458+65402*p^32*q^460+180*p^30*q^ 462+144*p^65*q^426+8269*p^63*q^428+2662964*p^61*q^430+135428046*p^59*q^432+ 2255018140*p^57*q^434+19119801491*p^55*q^436+127887117144*p^53*q^438+ 607136561933*p^51*q^440+1654243971510*p^49*q^442+1878055617438*p^47*q^444+ 777154931342*p^45*q^446+152198513142*p^43*q^448+22417929556*p^41*q^450+ 2928225176*p^39*q^452+271849612*p^37*q^454+13471944*p^35*q^456+319396*p^33*q^ 458+20176*p^31*q^460+100*p^29*q^462+660*p^64*q^426+247836*p^62*q^428+18007488*p ^60*q^430+573122755*p^58*q^432+6223990450*p^56*q^434+47940105439*p^54*q^436+ 277853663158*p^52*q^438+1051052811184*p^50*q^440+1969808143494*p^48*q^442+ 1379956888497*p^46*q^444+379307852338*p^44*q^446+62065276182*p^42*q^448+ 8546770092*p^40*q^450+1023584291*p^38*q^452+75023332*p^36*q^454+2626872*p^34*q^ 456+64352*p^32*q^458+312*p^30*q^460+32*p^65*q^424+4180*p^63*q^426+1880194*p^61* q^428+103922098*p^59*q^430+1896345328*p^57*q^432+16612209500*p^55*q^434+ 112711248234*p^53*q^436+550907169096*p^51*q^438+1555279857325*p^49*q^440+ 1878058541608*p^47*q^442+817683223814*p^45*q^444+165331828478*p^43*q^446+ 24512972483*p^41*q^448+3216665258*p^39*q^450+315434424*p^37*q^452+15811700*p^35 *q^454+460730*p^33*q^456+18488*p^31*q^458+1312*p^64*q^424+124962*p^62*q^426+ 13161527*p^60*q^428+450227482*p^58*q^430+5353408572*p^56*q^432+41896946840*p^54 *q^434+247444902545*p^52*q^436+969889320542*p^50*q^438+1900916714974*p^48*q^440 +1419340083700*p^46*q^442+406249533811*p^44*q^444+67621015366*p^42*q^446+ 9358735073*p^40*q^448+1156776316*p^38*q^450+86613426*p^36*q^452+3270930*p^34*q^ 454+58124*p^32*q^456+2130*p^30*q^458+4*p^28*q^460+3450*p^63*q^424+1346012*p^61* q^426+74898338*p^59*q^428+1591840626*p^57*q^430+14312034653*p^55*q^432+ 99721125808*p^53*q^434+497225824875*p^51*q^436+1466366983468*p^49*q^438+ 1863335978918*p^47*q^440+860727698578*p^45*q^442+178787736847*p^43*q^444+ 26773214206*p^41*q^446+3505555225*p^39*q^448+359570114*p^37*q^450+19589198*p^35 *q^452+569578*p^33*q^454+11106*p^31*q^456+8*p^29*q^458+664*p^64*q^422+46692*p^ 62*q^424+9031736*p^60*q^426+359750256*p^58*q^428+4613283352*p^56*q^430+ 36600529149*p^54*q^432+221158374922*p^52*q^434+889272669346*p^50*q^436+ 1835345316656*p^48*q^438+1447006398407*p^46*q^440+435283420130*p^44*q^442+ 73458361558*p^42*q^444+10267530270*p^40*q^446+1293058692*p^38*q^448+101006016*p ^36*q^450+3790306*p^34*q^452+75360*p^32*q^454+4376*p^30*q^456+7312*p^63*q^422+ 967923*p^61*q^424+57111794*p^59*q^426+1315244063*p^57*q^428+12374195904*p^55*q^ 430+87658932298*p^53*q^432+449315212008*p^51*q^434+1370583624512*p^49*q^436+ 1849392863244*p^47*q^438+900985268382*p^45*q^440+193966674932*p^43*q^442+ 29259544534*p^41*q^444+3857465968*p^39*q^446+415638744*p^37*q^448+25066326*p^35 *q^450+804824*p^33*q^452+13428*p^31*q^454+78*p^29*q^456+48*p^64*q^420+32382*p^ 62*q^422+6564314*p^60*q^424+275071420*p^58*q^426+3929646530*p^56*q^428+ 31878313214*p^54*q^430+196142584040*p^52*q^432+816704280598*p^50*q^434+ 1759476742902*p^48*q^436+1478288431576*p^46*q^438+464852233878*p^44*q^440+ 80014495336*p^42*q^442+11253656525*p^40*q^444+1430539910*p^38*q^446+116810056*p ^36*q^448+4259028*p^34*q^450+94128*p^32*q^452+1220*p^30*q^454+6194*p^63*q^420+ 438222*p^61*q^422+40140024*p^59*q^424+1076557278*p^57*q^426+10664871785*p^55*q^ 428+77241161812*p^53*q^430+404127284059*p^51*q^432+1285262648430*p^49*q^434+ 1822069960229*p^47*q^436+942974474252*p^45*q^438+209156061060*p^43*q^440+ 31886849642*p^41*q^442+4201839685*p^39*q^444+476287506*p^37*q^446+29205646*p^35 *q^448+928480*p^33*q^450+10176*p^31*q^452+636*p^29*q^454+8*p^64*q^418+30440*p^ 62*q^420+5035682*p^60*q^422+213675696*p^58*q^424+3370170104*p^56*q^426+ 27721281673*p^54*q^428+174780139848*p^52*q^430+745249308775*p^50*q^432+ 1687749246310*p^48*q^434+1497069102606*p^46*q^436+496024527782*p^44*q^438+ 87057677708*p^42*q^440+12358404596*p^40*q^442+1572716797*p^38*q^444+135568354*p ^36*q^446+6004388*p^34*q^448+163434*p^32*q^450+2678*p^30*q^452+1788*p^63*q^418+ 292600*p^61*q^420+29434800*p^59*q^422+870740196*p^57*q^424+9191151528*p^55*q^ 426+67639463216*p^53*q^428+363622436724*p^51*q^430+1194221270063*p^49*q^432+ 1796211519110*p^47*q^434+981348972020*p^45*q^436+226564069530*p^43*q^438+ 34743668112*p^41*q^440+4624440604*p^39*q^442+550234571*p^37*q^444+35568150*p^35 *q^446+916450*p^33*q^448+12018*p^31*q^450+82*p^29*q^452+37456*p^62*q^418+ 3119042*p^60*q^420+160333398*p^58*q^422+2831154562*p^56*q^424+24045390492*p^54* q^426+154583075191*p^52*q^428+681343161860*p^50*q^430+1607439222790*p^48*q^432+ 1519153512606*p^46*q^434+527505862949*p^44*q^436+94668497524*p^42*q^438+ 13532242714*p^40*q^440+1724806638*p^38*q^442+155828082*p^36*q^444+7262094*p^34* q^446+231290*p^32*q^448+1480*p^30*q^450+40*p^28*q^452+400*p^63*q^416+162194*p^ 61*q^418+21745036*p^59*q^420+694130194*p^57*q^422+7909754237*p^55*q^424+ 59446204210*p^53*q^426+325680562610*p^51*q^428+1113515359102*p^49*q^430+ 1756842875330*p^47*q^432+1021390016680*p^45*q^434+243889004487*p^43*q^436+ 37861635676*p^41*q^438+5061138568*p^39*q^440+616673472*p^37*q^442+40973851*p^35 *q^444+1158236*p^33*q^446+20512*p^31*q^448+336*p^29*q^450+19962*p^62*q^416+ 1988884*p^60*q^418+119620182*p^58*q^420+2387418256*p^56*q^422+20815329776*p^54* q^424+137174813450*p^52*q^426+619019689162*p^50*q^428+1532486433938*p^48*q^430+ 1527468071264*p^46*q^432+560848872060*p^44*q^434+102842498544*p^42*q^436+ 14832215768*p^40*q^438+1879260513*p^38*q^440+185929566*p^36*q^442+9609538*p^34* q^444+223428*p^32*q^446+1312*p^30*q^448+4*p^28*q^450+40*p^63*q^414+178476*p^61* q^416+16079870*p^59*q^418+552520965*p^57*q^420+6800760410*p^55*q^422+ 51900998789*p^53*q^424+292072513198*p^51*q^426+1029327799006*p^49*q^428+ 1719371092402*p^47*q^430+1056330048698*p^45*q^432+263352787366*p^43*q^434+ 41266451200*p^41*q^436+5584779602*p^39*q^438+693637430*p^37*q^440+47718324*p^35 *q^442+1491804*p^33*q^444+48656*p^31*q^446+200*p^29*q^448+7744*p^62*q^414+ 1173546*p^60*q^416+88174838*p^58*q^418+1964112384*p^56*q^420+17994560038*p^54*q ^422+120808457740*p^52*q^424+563246089336*p^50*q^426+1449759382800*p^48*q^428+ 1539745634982*p^46*q^430+593332902276*p^44*q^432+111907234956*p^42*q^434+ 16185910979*p^40*q^436+2055675962*p^38*q^438+217945954*p^36*q^440+11317178*p^34 *q^442+227796*p^32*q^444+1284*p^30*q^446+20*p^28*q^448+6*p^65*q^410+32*p^63*q^ 412+129686*p^61*q^414+10905460*p^59*q^416+426619522*p^57*q^418+5824751461*p^55* q^420+45388513144*p^53*q^422+260774429210*p^51*q^424+954461457926*p^49*q^426+ 1670906824463*p^47*q^428+1092498993932*p^45*q^430+283040027504*p^43*q^432+ 44919331928*p^41*q^434+6121215780*p^39*q^436+763029624*p^37*q^438+54631556*p^35 *q^440+2110970*p^33*q^442+49632*p^31*q^444+124*p^29*q^446+2096*p^62*q^412+ 837588*p^60*q^414+66291265*p^58*q^416+1629877592*p^56*q^418+15528601748*p^54*q^ 420+106913323620*p^52*q^422+509317152842*p^50*q^424+1373613430314*p^48*q^426+ 1536744244219*p^46*q^428+628125193050*p^44*q^430+121207923765*p^42*q^432+ 17698355782*p^40*q^434+2252793122*p^38*q^436+254971832*p^36*q^438+13890834*p^34 *q^440+250752*p^32*q^442+6736*p^30*q^444+14*p^28*q^446+16*p^63*q^410+77076*p^61 *q^412+7328734*p^59*q^414+330079166*p^57*q^416+4955946326*p^55*q^418+ 39491843806*p^53*q^420+232855766036*p^51*q^422+877959094184*p^49*q^424+ 1623457986870*p^47*q^426+1122985139229*p^45*q^428+304657403596*p^43*q^430+ 49065973004*p^41*q^432+6753226384*p^39*q^434+835948174*p^37*q^436+66830674*p^35 *q^438+2718862*p^33*q^440+59588*p^31*q^442+48*p^29*q^444+102*p^64*q^408+890*p^ 62*q^410+695852*p^60*q^412+49303846*p^58*q^414+1312720994*p^56*q^416+ 13403368844*p^54*q^418+93815781766*p^52*q^420+461399546082*p^50*q^422+ 1291413487614*p^48*q^424+1537721791470*p^46*q^426+661192177664*p^44*q^428+ 131802038296*p^42*q^430+19247428880*p^40*q^432+2475321472*p^38*q^434+293049418* p^36*q^436+15519864*p^34*q^438+354460*p^32*q^440+8476*p^30*q^442+8*p^28*q^444+ 22*p^63*q^408+32832*p^61*q^410+4465399*p^59*q^412+245815238*p^57*q^414+ 4192910096*p^55*q^416+34359415998*p^53*q^418+207022918622*p^51*q^420+ 810017897048*p^49*q^422+1567019892450*p^47*q^424+1154146059654*p^45*q^426+ 326375977361*p^43*q^428+53379344494*p^41*q^430+7416432561*p^39*q^432+909763628* p^37*q^434+79797484*p^35*q^436+3452204*p^33*q^438+42102*p^31*q^440+452*p^29*q^ 442+484*p^62*q^408+474420*p^60*q^410+35898618*p^58*q^412+1067617800*p^56*q^414+ 11555344474*p^54*q^416+82754237570*p^52*q^418+415762552357*p^50*q^420+ 1215955148256*p^48*q^422+1524392333011*p^46*q^424+695847788528*p^44*q^426+ 142604795685*p^42*q^428+21016236744*p^40*q^430+2707712320*p^38*q^432+329452492* p^36*q^434+18098254*p^34*q^436+553818*p^32*q^438+13500*p^30*q^440+2*p^28*q^442+ 732*p^63*q^406+14094*p^61*q^408+3580280*p^59*q^410+190302028*p^57*q^412+ 3522542694*p^55*q^414+29744919234*p^53*q^416+184167713190*p^51*q^418+ 740576699908*p^49*q^420+1512527496424*p^47*q^422+1177911073657*p^45*q^424+ 350384037888*p^43*q^426+58256751103*p^41*q^428+8156018482*p^39*q^430+1006010891 *p^37*q^432+99110040*p^35*q^434+4442752*p^33*q^436+42484*p^31*q^438+1160*p^29*q ^440+456*p^62*q^406+293668*p^60*q^408+23534350*p^58*q^410+829478061*p^56*q^412+ 9905891738*p^54*q^414+72349361031*p^52*q^416+374898613444*p^50*q^418+ 1136873367547*p^48*q^420+1514321571808*p^46*q^422+729195377044*p^44*q^424+ 154684205756*p^42*q^426+22873695280*p^40*q^428+2993969144*p^38*q^430+361584438* p^36*q^432+21141734*p^34*q^434+651080*p^32*q^436+10848*p^30*q^438+8*p^28*q^440+ 156*p^63*q^404+7486*p^61*q^406+2396084*p^59*q^408+144534428*p^57*q^410+ 2942394225*p^55*q^412+25860260884*p^53*q^414+163183605423*p^51*q^416+ 680112348658*p^49*q^418+1448902789415*p^47*q^420+1202700208238*p^45*q^422+ 373640671897*p^43*q^424+63372249904*p^41*q^426+8891260262*p^39*q^428+1086307326 *p^37*q^430+116659345*p^35*q^432+4804124*p^33*q^434+92388*p^31*q^436+1624*p^29* q^438+2910*p^62*q^404+145796*p^60*q^406+17207186*p^58*q^408+651325300*p^56*q^ 410+8484932043*p^54*q^412+63454902510*p^52*q^414+336254648367*p^50*q^416+ 1063992124544*p^48*q^418+1490726467988*p^46*q^420+763359940488*p^44*q^422+ 167348356700*p^42*q^424+25021847256*p^40*q^426+3311299442*p^38*q^428+405050284* p^36*q^430+27633640*p^34*q^432+1073922*p^32*q^434+3428*p^30*q^436+108*p^28*q^ 438+5580*p^61*q^404+1774844*p^59*q^406+105477080*p^57*q^408+2430697398*p^55*q^ 410+22299984418*p^53*q^412+144665375808*p^51*q^414+619171465417*p^49*q^416+ 1389565982048*p^47*q^418+1218388411673*p^45*q^420+399569185966*p^43*q^422+ 68979515314*p^41*q^424+9716907546*p^39*q^426+1185979220*p^37*q^428+134165104*p^ 35*q^430+5225770*p^33*q^432+96472*p^31*q^434+3012*p^29*q^436+2206*p^62*q^402+ 82344*p^60*q^404+12059768*p^58*q^406+508196259*p^56*q^408+7229985562*p^54*q^410 +55286797428*p^52*q^412+301976800282*p^50*q^414+988486964779*p^48*q^416+ 1470054248846*p^46*q^418+794780574823*p^44*q^420+181124031808*p^42*q^422+ 27289587457*p^40*q^424+3668002802*p^38*q^426+444973958*p^36*q^428+35243022*p^34 *q^430+1283048*p^32*q^432+10908*p^30*q^434+64*p^28*q^436+8610*p^61*q^402+ 1062830*p^59*q^404+75171278*p^57*q^406+1962279900*p^55*q^408+19282174400*p^53*q ^410+127577597399*p^51*q^412+565375249246*p^49*q^414+1323113877842*p^47*q^416+ 1236085544860*p^45*q^418+424566399101*p^43*q^420+75122094544*p^41*q^422+ 10571025618*p^39*q^424+1300200398*p^37*q^426+150964735*p^35*q^428+6190496*p^33* q^430+178920*p^31*q^432+188*p^29*q^434+4*p^27*q^436+160*p^62*q^400+50812*p^60*q ^402+8602558*p^58*q^404+393680008*p^56*q^406+6160891744*p^54*q^408+48363338318* p^52*q^410+269863333096*p^50*q^412+920248568296*p^48*q^414+1436632451481*p^46*q ^416+827007542158*p^44*q^418+195257138783*p^42*q^420+29747055386*p^40*q^422+ 4035749436*p^38*q^424+480854250*p^36*q^426+43300050*p^34*q^428+1403852*p^32*q^ 430+13800*p^30*q^432+512*p^28*q^434+13190*p^61*q^400+666530*p^59*q^402+56165066 *p^57*q^404+1587156478*p^55*q^406+16575458798*p^53*q^408+112613058500*p^51*q^ 410+512125052601*p^49*q^412+1259539029628*p^47*q^414+1243486671552*p^45*q^416+ 452213161324*p^43*q^418+81726745302*p^41*q^420+11590520534*p^39*q^422+ 1440346328*p^37*q^424+175284220*p^35*q^426+8742814*p^33*q^428+287784*p^31*q^430 +748*p^29*q^432+148*p^62*q^398+39696*p^60*q^400+6024150*p^58*q^402+293690720*p^ 56*q^404+5163299020*p^54*q^406+41912123986*p^52*q^408+241249381164*p^50*q^410+ 850197148957*p^48*q^412+1406818992692*p^46*q^414+856065722652*p^44*q^416+ 210892741258*p^42*q^418+32475665182*p^40*q^420+4423648744*p^38*q^422+521036891* p^36*q^424+50413258*p^34*q^426+1259852*p^32*q^428+18232*p^30*q^430+8*p^28*q^432 +3764*p^61*q^398+388364*p^59*q^400+38858932*p^57*q^402+1263824444*p^55*q^404+ 14299992014*p^53*q^406+98994772671*p^51*q^408+465702444962*p^49*q^410+ 1191400624767*p^47*q^412+1252004602340*p^45*q^414+478169797681*p^43*q^416+ 88881403310*p^41*q^418+12577401730*p^39*q^420+1597108938*p^37*q^422+192466972*p ^35*q^424+11422878*p^33*q^426+368934*p^31*q^428+1860*p^29*q^430+36*p^27*q^432+4 *p^62*q^396+48126*p^60*q^398+4011002*p^58*q^400+223891180*p^56*q^402+4324880728 *p^54*q^404+36473779202*p^52*q^406+214678881630*p^50*q^408+786794161740*p^48*q^ 410+1365299953168*p^46*q^412+885008909108*p^44*q^414+226890801030*p^42*q^416+ 35452284982*p^40*q^418+4856898299*p^38*q^420+565497742*p^36*q^422+60245437*p^34 *q^424+1731550*p^32*q^426+45048*p^30*q^428+20*p^28*q^430+2404*p^61*q^396+278660 *p^59*q^398+28843988*p^57*q^400+1000316708*p^55*q^402+12221392156*p^53*q^404+ 87055704382*p^51*q^406+419801047677*p^49*q^408+1127495413684*p^47*q^410+ 1250402364814*p^45*q^412+506756342810*p^43*q^414+96558006842*p^41*q^416+ 13763600574*p^39*q^418+1771255916*p^37*q^420+214067800*p^35*q^422+14839626*p^33 *q^424+335448*p^31*q^426+1136*p^29*q^428+16*p^62*q^394+33044*p^60*q^396+2593094 *p^58*q^398+163472900*p^56*q^400+3559686016*p^54*q^402+31520331552*p^52*q^404+ 190992155900*p^50*q^406+722818428650*p^48*q^408+1327223017254*p^46*q^410+ 910062400418*p^44*q^412+244334767348*p^42*q^414+38680220860*p^40*q^416+ 5309217440*p^38*q^418+619902802*p^36*q^420+69851428*p^34*q^422+2350756*p^32*q^ 424+70260*p^30*q^426+172*p^28*q^428+382*p^61*q^394+189474*p^59*q^396+19848702*p ^57*q^398+775650440*p^55*q^400+10468930148*p^53*q^402+76134270239*p^51*q^404+ 379968102886*p^49*q^406+1059643473026*p^47*q^408+1250400565130*p^45*q^410+ 533197419376*p^43*q^412+104810325342*p^41*q^414+14989522481*p^39*q^416+ 1963021930*p^37*q^418+228527434*p^35*q^420+17709170*p^33*q^422+280802*p^31*q^ 424+4340*p^29*q^426+20200*p^60*q^394+1734954*p^58*q^396+121770350*p^56*q^398+ 2929202246*p^54*q^400+27352583956*p^52*q^402+169321737421*p^50*q^404+ 665332506134*p^48*q^406+1278578847053*p^46*q^408+934885083978*p^44*q^410+ 262010130499*p^42*q^412+42248625892*p^40*q^414+5778626901*p^38*q^416+678921920* p^36*q^418+82005955*p^34*q^420+3566310*p^32*q^422+103772*p^30*q^424+72*p^28*q^ 426+240*p^61*q^392+173852*p^59*q^394+14145370*p^57*q^396+600829408*p^55*q^398+ 8867440537*p^53*q^400+66610377880*p^51*q^402+340935967762*p^49*q^404+ 996253084104*p^47*q^406+1239843271175*p^45*q^408+562123716648*p^43*q^410+ 113721087695*p^41*q^412+16414487950*p^39*q^414+2180980830*p^37*q^416+252547456* p^35*q^418+21485380*p^33*q^420+383476*p^31*q^422+7764*p^29*q^424+8*p^27*q^426+ 7946*p^60*q^392+1142844*p^58*q^394+87917602*p^56*q^396+2362503422*p^54*q^398+ 23513215404*p^52*q^400+150128517024*p^50*q^402+607928878679*p^48*q^404+ 1234512444016*p^46*q^406+954102635908*p^44*q^408+281248284306*p^42*q^410+ 46015850647*p^40*q^412+6295036222*p^38*q^414+749907659*p^36*q^416+90253682*p^34 *q^418+4609442*p^32*q^420+54292*p^30*q^422+192*p^28*q^424+170*p^61*q^390+122358 *p^59*q^392+9370598*p^57*q^394+456044414*p^55*q^396+7494303400*p^53*q^398+ 58067414779*p^51*q^400+306887174094*p^49*q^402+930505543600*p^47*q^404+ 1230602170080*p^45*q^406+588473927997*p^43*q^408+123367184892*p^41*q^410+ 17905752313*p^39*q^412+2403278086*p^37*q^414+269211338*p^35*q^416+26568560*p^33 *q^418+607176*p^31*q^420+22424*p^29*q^422+4*p^27*q^424+2212*p^60*q^390+808210*p ^58*q^392+63929636*p^56*q^394+1899491200*p^54*q^396+20328926934*p^52*q^398+ 132404870622*p^50*q^400+556890641556*p^48*q^402+1181312453664*p^46*q^404+ 973794607702*p^44*q^406+300243206601*p^42*q^408+50156447036*p^40*q^410+ 6863322396*p^38*q^412+838475104*p^36*q^414+100945836*p^34*q^416+5628868*p^32*q^ 418+50920*p^30*q^420+436*p^28*q^422+16*p^61*q^388+74512*p^59*q^390+6725580*p^57 *q^392+346591316*p^55*q^394+6278697903*p^53*q^396+50590313320*p^51*q^398+ 274257977105*p^49*q^400+869210963470*p^47*q^402+1210943547745*p^45*q^404+ 616605565096*p^43*q^406+133621309834*p^41*q^408+19645277466*p^39*q^410+ 2629307598*p^37*q^412+290257432*p^35*q^414+32036287*p^33*q^416+1031374*p^31*q^ 418+17240*p^29*q^420+3528*p^60*q^388+638624*p^58*q^390+45310284*p^56*q^392+ 1498370078*p^54*q^394+17362749581*p^52*q^396+116774798258*p^50*q^398+ 506005210018*p^48*q^400+1132346233326*p^46*q^402+987289305930*p^44*q^404+ 321281794038*p^42*q^406+54637767248*p^40*q^408+7480189474*p^38*q^410+941788205* p^36*q^412+112755124*p^34*q^414+6992591*p^32*q^416+65284*p^30*q^418+2532*p^28*q ^420+2*p^61*q^386+24382*p^59*q^388+4260200*p^57*q^390+255105280*p^55*q^392+ 5212667608*p^53*q^394+43902285692*p^51*q^396+245882166796*p^49*q^398+ 807143686410*p^47*q^400+1193480017862*p^45*q^402+641411434910*p^43*q^404+ 144574392900*p^41*q^406+21401115947*p^39*q^408+2867253010*p^37*q^410+312762050* p^35*q^412+35714224*p^33*q^414+1280450*p^31*q^416+4772*p^29*q^418+12*p^27*q^420 +580*p^60*q^386+447194*p^58*q^388+32618696*p^56*q^390+1185267286*p^54*q^392+ 14924410716*p^52*q^394+102629087859*p^50*q^396+460875469920*p^48*q^398+ 1076210013889*p^46*q^400+999838952972*p^44*q^402+341644766686*p^42*q^404+ 59548097172*p^40*q^406+8183130468*p^38*q^408+1054442750*p^36*q^410+119879358*p^ 34*q^412+9499778*p^32*q^414+170264*p^30*q^416+4632*p^28*q^418+6*p^61*q^384+ 31074*p^59*q^386+3237002*p^57*q^388+191405708*p^55*q^390+4279992606*p^53*q^392+ 38078946448*p^51*q^394+218570032947*p^49*q^396+749583647630*p^47*q^398+ 1165867136705*p^45*q^400+668251639586*p^43*q^402+156266535171*p^41*q^404+ 23451947094*p^39*q^406+3127128824*p^37*q^408+347595980*p^35*q^410+43566104*p^33 *q^412+1610308*p^31*q^414+4696*p^29*q^416+104*p^27*q^418+134*p^60*q^384+227226* p^58*q^386+22360710*p^56*q^388+906643582*p^54*q^390+12651165153*p^52*q^392+ 90084992080*p^50*q^394+416691160215*p^48*q^396+1024716384884*p^46*q^398+ 1006637000522*p^44*q^400+363769519256*p^42*q^402+64749076943*p^40*q^404+ 8947882582*p^38*q^406+1167150932*p^36*q^408+127584558*p^34*q^410+10739922*p^32* q^412+242696*p^30*q^414+260*p^28*q^416+24*p^61*q^382+11668*p^59*q^384+2246158*p ^57*q^386+138836309*p^55*q^388+3499167680*p^53*q^390+32895183933*p^51*q^392+ 195018071016*p^49*q^394+691807540588*p^47*q^396+1140379860964*p^45*q^398+ 690735316628*p^43*q^400+168640209256*p^41*q^402+25563270641*p^39*q^404+ 3396095886*p^37*q^406+388151063*p^35*q^408+48039886*p^33*q^410+2222738*p^31*q^ 412+16668*p^29*q^414+700*p^27*q^416+92*p^60*q^382+182284*p^58*q^384+15926176*p^ 56*q^386+701400148*p^54*q^388+10742021020*p^52*q^390+78792503735*p^50*q^392+ 377679090566*p^48*q^394+966934599431*p^46*q^396+1012677869050*p^44*q^398+ 385027201175*p^42*q^400+70593722210*p^40*q^402+9791328803*p^38*q^404+1290133486 *p^36*q^406+134675831*p^34*q^408+13942378*p^32*q^410+345758*p^30*q^412+272*p^28 *q^414+3556*p^59*q^382+1489582*p^57*q^384+101608300*p^55*q^386+2811602543*p^53* q^388+28400385026*p^51*q^390+172624396497*p^49*q^392+638643736766*p^47*q^394+ 1106141253401*p^45*q^396+714650980994*p^43*q^398+181859909011*p^41*q^400+ 27936221408*p^39*q^402+3707393741*p^37*q^404+441259436*p^35*q^406+53907870*p^33 *q^408+2740774*p^31*q^410+35040*p^29*q^412+8*p^27*q^414+476*p^60*q^380+123218*p ^58*q^382+11217808*p^56*q^384+530282774*p^54*q^386+8999416781*p^52*q^388+ 68886568178*p^50*q^390+339680340959*p^48*q^392+914615965826*p^46*q^394+ 1011028277288*p^44*q^396+408197732174*p^42*q^398+76629823656*p^40*q^400+ 10737548410*p^38*q^402+1408285172*p^36*q^404+143655924*p^34*q^406+16695764*p^32 *q^408+441488*p^30*q^410+680*p^28*q^412+44*p^26*q^414+8*p^61*q^378+1416*p^59*q^ 380+978032*p^57*q^382+72128392*p^55*q^384+2232778340*p^53*q^386+24382776393*p^ 51*q^388+153133332900*p^49*q^390+585972246432*p^47*q^392+1074332640040*p^45*q^ 394+734136934513*p^43*q^396+195675015856*p^41*q^398+30481516529*p^39*q^400+ 4033805830*p^37*q^402+496612564*p^35*q^404+57416844*p^33*q^406+3500684*p^31*q^ 408+57624*p^29*q^410+4*p^27*q^412+50*p^60*q^378+46460*p^58*q^380+7718058*p^56*q ^382+399299929*p^54*q^384+7552012946*p^52*q^386+59969413173*p^50*q^388+ 306473348924*p^48*q^390+857927323241*p^46*q^392+1009726695706*p^44*q^394+ 429379489985*p^42*q^396+83438715602*p^40*q^398+11721654852*p^38*q^400+ 1541252092*p^36*q^402+155937184*p^34*q^404+19782542*p^32*q^406+572262*p^30*q^ 408+3404*p^28*q^410+4190*p^59*q^378+793192*p^57*q^380+53160528*p^55*q^382+ 1770828669*p^53*q^384+20922999214*p^51*q^386+134937194243*p^49*q^388+ 537595038090*p^47*q^390+1033750672726*p^45*q^392+754586870198*p^43*q^394+ 210227625023*p^41*q^396+33295168754*p^39*q^398+4430950350*p^37*q^400+559012534* p^35*q^402+61210707*p^33*q^404+4868346*p^31*q^406+94339*p^29*q^408+128*p^60*q^ 376+23830*p^58*q^378+5291896*p^56*q^380+293360618*p^54*q^382+6189221211*p^52*q^ 384+52115819590*p^50*q^386+274102857876*p^48*q^388+805915172196*p^46*q^390+ 1001766987834*p^44*q^392+452731280792*p^42*q^394+90555489705*p^40*q^396+ 12871183990*p^38*q^398+1669945154*p^36*q^400+176831650*p^34*q^402+22747981*p^32 *q^404+684870*p^30*q^406+5504*p^28*q^408+1510*p^59*q^376+413180*p^57*q^378+ 36422694*p^55*q^380+1375421958*p^53*q^382+17859071631*p^51*q^384+119266863794*p ^49*q^386+490651962196*p^47*q^388+996970400206*p^45*q^390+769106345903*p^43*q^ 392+225628524906*p^41*q^394+36220865528*p^39*q^396+4807609556*p^37*q^398+ 619109186*p^35*q^400+61206382*p^33*q^402+5822126*p^31*q^404+96220*p^29*q^406+ 160*p^27*q^408+20*p^60*q^374+23424*p^58*q^376+3900690*p^56*q^378+221219178*p^54 *q^380+5096288684*p^52*q^382+45173713877*p^50*q^384+245858676934*p^48*q^386+ 750760927342*p^46*q^388+992311291434*p^44*q^390+474011703393*p^42*q^392+ 98307535284*p^40*q^394+14079411176*p^38*q^396+1834513674*p^36*q^398+200436526*p ^34*q^400+26112448*p^32*q^402+1132994*p^30*q^404+18780*p^28*q^406+988*p^59*q^ 374+255036*p^57*q^376+26394612*p^55*q^378+1057923578*p^53*q^380+15169884280*p^ 51*q^382+104492154109*p^49*q^384+447825370578*p^47*q^386+952887313175*p^45*q^ 388+785130383658*p^43*q^390+241291189450*p^41*q^392+39657766384*p^39*q^394+ 5287224258*p^37*q^396+682374278*p^35*q^398+64866490*p^33*q^400+7462806*p^31*q^ 402+105498*p^29*q^404+208*p^27*q^406+18170*p^58*q^374+2652986*p^56*q^376+ 159191034*p^54*q^378+4114390987*p^52*q^380+39061083334*p^50*q^382+218943907661* p^48*q^384+700697107788*p^46*q^386+976562171099*p^44*q^388+496613909512*p^42*q^ 390+106602840480*p^40*q^392+15369664206*p^38*q^394+1983897886*p^36*q^396+ 229880990*p^34*q^398+27904556*p^32*q^400+1393608*p^30*q^402+17096*p^28*q^404+ 640*p^59*q^372+135120*p^57*q^374+18117092*p^55*q^376+807164222*p^53*q^378+ 12774106034*p^51*q^380+91861421314*p^49*q^382+406217621921*p^47*q^384+ 912457315536*p^45*q^386+795113882277*p^43*q^388+257851490796*p^41*q^390+ 43113018238*p^39*q^392+5806865698*p^37*q^394+750259630*p^35*q^396+69247670*p^33 *q^398+8857003*p^31*q^400+193192*p^29*q^402+2184*p^27*q^404+7506*p^58*q^372+ 1776448*p^56*q^374+116554362*p^54*q^376+3311813518*p^52*q^378+33682315298*p^50* q^380+195373194170*p^48*q^382+648720640833*p^46*q^384+960593984600*p^44*q^386+ 516292202559*p^42*q^388+115533991122*p^40*q^390+16808430600*p^38*q^392+ 2146604450*p^36*q^394+258342678*p^34*q^396+28032788*p^32*q^398+1997615*p^30*q^ 400+12102*p^28*q^402+68*p^59*q^370+126714*p^57*q^372+13365460*p^55*q^374+ 614380676*p^53*q^376+10711882926*p^51*q^378+80111007382*p^49*q^380+368605184716 *p^47*q^382+865669857265*p^45*q^384+805575731884*p^43*q^386+274807971538*p^41*q ^388+47145364924*p^39*q^390+6374363466*p^37*q^392+832578714*p^35*q^394+78589234 *p^33*q^396+11295782*p^31*q^398+274808*p^29*q^400+3848*p^27*q^402+7384*p^58*q^ 370+1000742*p^56*q^372+82754218*p^54*q^374+2602531639*p^52*q^376+28953130808*p^ 50*q^378+173012913217*p^48*q^380+601633154614*p^46*q^382+938150680644*p^44*q^ 384+537860444466*p^42*q^386+124839149641*p^40*q^388+18349739952*p^38*q^390+ 2348330892*p^36*q^392+287995100*p^34*q^394+28168610*p^32*q^396+2339374*p^30*q^ 398+22412*p^28*q^400+88*p^26*q^402+100*p^59*q^368+66582*p^57*q^370+9437274*p^55 *q^372+457102396*p^53*q^374+8896106584*p^51*q^376+70043919568*p^49*q^378+ 332569433685*p^47*q^380+823122055344*p^45*q^382+809595779822*p^43*q^384+ 292316639904*p^41*q^386+51286997683*p^39*q^388+6994759120*p^37*q^390+892132748* p^35*q^392+89685434*p^33*q^394+12347200*p^31*q^396+423828*p^29*q^398+770*p^27*q ^400+1896*p^58*q^368+691264*p^56*q^370+59280850*p^54*q^372+2054626392*p^52*q^ 374+24770673243*p^50*q^376+153616429072*p^48*q^378+553617477996*p^46*q^380+ 915986537984*p^44*q^382+555634126355*p^42*q^384+135012084616*p^40*q^386+ 20039116880*p^38*q^388+2566143596*p^36*q^390+328173098*p^34*q^392+28670062*p^32 *q^394+3286300*p^30*q^396+41764*p^28*q^398+628*p^26*q^400+4*p^59*q^366+53138*p^ 57*q^368+6435010*p^55*q^370+343297226*p^53*q^372+7323981834*p^51*q^374+ 60765708910*p^49*q^376+300127920676*p^47*q^378+775352446413*p^45*q^380+ 814112604988*p^43*q^382+309635963031*p^41*q^384+56011412948*p^39*q^386+ 7666067799*p^37*q^388+970232912*p^35*q^390+100204502*p^33*q^392+13044754*p^31*q ^394+556016*p^29*q^396+1852*p^27*q^398+8*p^60*q^364+1932*p^58*q^366+495250*p^56 *q^368+43428124*p^54*q^370+1584665803*p^52*q^372+21089393790*p^50*q^374+ 135326753493*p^48*q^376+509967835018*p^46*q^378+887951404828*p^44*q^380+ 575065613102*p^42*q^382+145601760874*p^40*q^384+21908188594*p^38*q^386+ 2823814006*p^36*q^388+367092414*p^34*q^390+31518300*p^32*q^392+4372882*p^30*q^ 394+63776*p^28*q^396+8*p^26*q^398+16*p^59*q^364+25960*p^57*q^366+3826516*p^55*q ^368+245491090*p^53*q^370+5949111730*p^51*q^372+52863585400*p^49*q^374+ 269192430348*p^47*q^376+732402699314*p^45*q^378+812219373335*p^43*q^380+ 327803795670*p^41*q^382+60867109938*p^39*q^384+8375560528*p^37*q^386+1040701046 *p^35*q^388+114425164*p^33*q^390+12575292*p^31*q^392+653618*p^29*q^394+4076*p^ 27*q^396+44*p^25*q^398+248*p^58*q^364+324632*p^56*q^366+31944406*p^54*q^368+ 1234411862*p^52*q^370+17895568646*p^50*q^372+119519803340*p^48*q^374+ 466656035909*p^46*q^376+860182833336*p^44*q^378+589797544643*p^42*q^380+ 156903010236*p^40*q^382+23902128711*p^38*q^384+3110730324*p^36*q^386+402821584* p^34*q^388+33488546*p^32*q^390+5269000*p^30*q^392+128568*p^28*q^394+124*p^26*q^ 396+112*p^59*q^362+18694*p^57*q^364+2902324*p^55*q^366+183026240*p^53*q^368+ 4791669018*p^51*q^370+45574537496*p^49*q^372+241429562602*p^47*q^374+ 684823287175*p^45*q^376+810413429772*p^43*q^378+345568111405*p^41*q^380+ 66408226278*p^39*q^382+9190934697*p^37*q^384+1131846966*p^35*q^386+134290738*p^ 33*q^388+13558550*p^31*q^390+1094440*p^29*q^392+5628*p^27*q^394+6*p^60*q^360+ 260*p^58*q^362+217060*p^56*q^364+20858866*p^54*q^366+923952256*p^52*q^368+ 15036377796*p^50*q^370+104673417273*p^48*q^372+427437759586*p^46*q^374+ 828043111112*p^44*q^376+606305061156*p^42*q^378+168452699754*p^40*q^380+ 26155064952*p^38*q^382+3415268016*p^36*q^384+437961748*p^34*q^386+36738858*p^32 *q^388+5423450*p^30*q^390+99708*p^28*q^392+180*p^26*q^394+16*p^59*q^360+7444*p^ 57*q^362+1897000*p^55*q^364+134554678*p^53*q^366+3835465010*p^51*q^368+ 39400921970*p^49*q^370+215562059303*p^47*q^372+642212093684*p^45*q^374+ 802208298967*p^43*q^376+363520797622*p^41*q^378+72120629592*p^39*q^380+ 10005330930*p^37*q^382+1230666248*p^35*q^384+154021074*p^33*q^386+13043316*p^31 *q^388+1592030*p^29*q^390+23429*p^27*q^392+4*p^25*q^394+696*p^58*q^360+133138*p ^56*q^362+14680320*p^54*q^364+698835924*p^52*q^366+12529437904*p^50*q^368+ 91963564626*p^48*q^370+388210885156*p^46*q^372+796450564934*p^44*q^374+ 617649235629*p^42*q^376+181059034510*p^40*q^378+28543986294*p^38*q^380+ 3777933330*p^36*q^382+471658868*p^34*q^384+42391274*p^32*q^386+6102368*p^30*q^ 388+184220*p^28*q^390+216*p^26*q^392+96*p^59*q^358+2540*p^57*q^360+1348574*p^55 *q^362+97999654*p^53*q^364+3029589142*p^51*q^366+33797457656*p^49*q^368+ 192190114642*p^47*q^370+597101280055*p^45*q^372+794376176414*p^43*q^374+ 380835350183*p^41*q^376+78435900166*p^39*q^378+10949885236*p^37*q^380+ 1344774732*p^35*q^382+175338580*p^33*q^384+12970756*p^31*q^386+1919992*p^29*q^ 388+18456*p^27*q^390+444*p^58*q^358+92770*p^56*q^360+10284440*p^54*q^362+ 521278188*p^52*q^364+10359156722*p^50*q^366+80027110102*p^48*q^368+353448068574 *p^46*q^370+759929709645*p^44*q^372+630095073542*p^42*q^374+193700899196*p^40*q ^376+31263961078*p^38*q^378+4139184752*p^36*q^380+507999094*p^34*q^382+49956842 *p^32*q^384+6423872*p^30*q^386+328996*p^28*q^388+2434*p^26*q^390+3556*p^57*q^ 358+833952*p^55*q^360+68159334*p^53*q^362+2352347215*p^51*q^364+28938273320*p^ 49*q^366+170593014491*p^47*q^368+556122638814*p^45*q^370+780781486522*p^43*q^ 372+398709663842*p^41*q^374+84986394514*p^39*q^376+11944301430*p^37*q^378+ 1484329982*p^35*q^380+193654068*p^33*q^382+13294758*p^31*q^384+2149508*p^29*q^ 386+19044*p^27*q^388+692*p^58*q^356+28842*p^56*q^358+7113962*p^54*q^360+ 391787808*p^52*q^362+8516887593*p^50*q^364+69960877430*p^48*q^366+319374231173* p^46*q^368+725906154946*p^44*q^370+636722658013*p^42*q^372+206948732538*p^40*q^ 374+34140308603*p^38*q^376+4536517730*p^36*q^378+538416896*p^34*q^380+60641344* p^32*q^382+5911516*p^30*q^384+520992*p^28*q^386+4260*p^26*q^388+3988*p^57*q^356 +672790*p^55*q^358+49486468*p^53*q^360+1828180636*p^51*q^362+24520672503*p^49*q ^364+151212435510*p^47*q^366+513135292590*p^45*q^368+766962935484*p^43*q^370+ 414841671817*p^41*q^372+92448416506*p^39*q^374+13071870626*p^37*q^376+ 1652417306*p^35*q^378+215691068*p^33*q^380+14351164*p^31*q^382+2833956*p^29*q^ 384+44836*p^27*q^386+88*p^25*q^388+232*p^58*q^354+24361*p^56*q^356+4774450*p^54 *q^358+286860548*p^52*q^360+6870191940*p^50*q^362+60582060888*p^48*q^364+ 288794429290*p^46*q^366+688098365971*p^44*q^368+645067495088*p^42*q^370+ 220453347716*p^40*q^372+37273012602*p^38*q^374+4960271320*p^36*q^376+578291214* p^34*q^378+70146642*p^32*q^380+5647198*p^30*q^382+575004*p^28*q^384+886*p^26*q^ 386+3668*p^57*q^354+309106*p^55*q^356+34180678*p^53*q^358+1388881350*p^51*q^360 +20806573270*p^49*q^362+133337822282*p^47*q^364+474933976024*p^45*q^366+ 747810607392*p^43*q^368+431414379740*p^41*q^370+99783733495*p^39*q^372+ 14308909300*p^37*q^374+1818632986*p^35*q^376+231142738*p^33*q^378+17239348*p^31 *q^380+2841798*p^29*q^382+94896*p^27*q^384+680*p^25*q^386+21464*p^56*q^354+ 3597152*p^54*q^356+210673386*p^52*q^358+5556649815*p^50*q^360+52559249032*p^48* q^362+259490383865*p^46*q^364+652091606100*p^44*q^366+647130055337*p^42*q^368+ 234624475338*p^40*q^370+40717175863*p^38*q^372+5413016600*p^36*q^374+634029484* p^34*q^376+81997236*p^32*q^378+4834484*p^30*q^380+873594*p^28*q^382+4016*p^26*q ^384+3396*p^57*q^352+189132*p^55*q^354+24428764*p^53*q^356+1064971020*p^51*q^ 358+17361177983*p^49*q^360+117572553888*p^47*q^362+435191130819*p^45*q^364+ 728868275200*p^43*q^366+445900434785*p^41*q^368+108118888682*p^39*q^370+ 15666169951*p^37*q^372+2020865580*p^35*q^374+243118604*p^33*q^376+21580388*p^31 *q^378+3021514*p^29*q^380+133860*p^27*q^382+20238*p^56*q^352+2335004*p^54*q^354 +151089678*p^52*q^356+4375983344*p^50*q^358+45215164047*p^48*q^360+233155434020 *p^46*q^362+613675629929*p^44*q^364+650444434536*p^42*q^366+248588596775*p^40*q ^368+44480545740*p^38*q^370+5908115351*p^36*q^372+693638558*p^34*q^374+94749768 *p^32*q^376+4707726*p^30*q^378+1054538*p^28*q^380+9530*p^26*q^382+48*p^24*q^384 +256*p^57*q^350+122327*p^55*q^352+16988186*p^53*q^354+799399549*p^51*q^356+ 14504153508*p^49*q^358+103095232389*p^47*q^360+400166297018*p^45*q^362+ 705150966362*p^43*q^364+460413037516*p^41*q^366+116469735411*p^39*q^368+ 17138302968*p^37*q^370+2214716424*p^35*q^372+256872884*p^33*q^374+25367354*p^31 *q^376+2504612*p^29*q^378+178666*p^27*q^380+184*p^25*q^382+8*p^58*q^348+22720*p ^56*q^350+1336898*p^54*q^352+109969242*p^52*q^354+3456611829*p^50*q^356+ 38899499958*p^48*q^358+208137190826*p^46*q^360+577456743482*p^44*q^362+ 647552954155*p^42*q^364+263100321586*p^40*q^366+48471374482*p^38*q^368+ 6462376070*p^36*q^370+775643790*p^34*q^372+103964740*p^32*q^374+5626284*p^30*q^ 376+1342988*p^28*q^378+25596*p^26*q^380+132*p^57*q^348+109380*p^55*q^350+ 12777530*p^53*q^352+598314312*p^51*q^354+11931832157*p^49*q^356+90341051444*p^ 47*q^358+364408367285*p^45*q^360+682186294408*p^43*q^362+472435881016*p^41*q^ 364+125784990240*p^39*q^366+18800097987*p^37*q^368+2434881504*p^35*q^370+ 270735336*p^33*q^372+32408360*p^31*q^374+2007962*p^29*q^376+271620*p^27*q^378+ 392*p^25*q^380+7568*p^56*q^348+854128*p^54*q^350+77278983*p^52*q^352+2686610502 *p^50*q^354+33099491709*p^48*q^356+185812637772*p^46*q^358+539222099657*p^44*q^ 360+645617031594*p^42*q^362+277231285151*p^40*q^364+52818451578*p^38*q^366+ 7054192854*p^36*q^368+864751464*p^34*q^370+112309402*p^32*q^372+6492078*p^30*q^ 374+1380316*p^28*q^376+27914*p^26*q^378+3*p^59*q^344+160*p^57*q^346+108806*p^55 *q^348+8065774*p^53*q^350+441255338*p^51*q^352+9738833992*p^49*q^354+ 78730000116*p^47*q^356+332818957892*p^45*q^358+654968855490*p^43*q^360+ 484752004354*p^41*q^362+134948428602*p^39*q^364+20618759050*p^37*q^366+ 2656391614*p^35*q^368+288956736*p^33*q^370+38201876*p^31*q^372+1657030*p^29*q^ 374+397910*p^27*q^376+2840*p^25*q^378+2236*p^56*q^346+575954*p^54*q^348+ 57149766*p^52*q^350+2079331786*p^50*q^352+28227171864*p^48*q^354+164927072310*p ^46*q^356+503799146664*p^44*q^358+637659931440*p^42*q^360+291580536098*p^40*q^ 362+57486448392*p^38*q^364+7707085028*p^36*q^366+962323133*p^34*q^368+118240278 *p^32*q^370+8632870*p^30*q^372+1181238*p^28*q^374+47392*p^26*q^376+24*p^57*q^ 344+73572*p^55*q^346+5440661*p^53*q^348+325685172*p^51*q^350+7869298987*p^49*q^ 352+68518140846*p^47*q^354+300957307008*p^45*q^356+628668029690*p^43*q^358+ 493482544608*p^41*q^360+145257463628*p^39*q^362+22583633063*p^37*q^364+ 2916261360*p^35*q^366+320025004*p^33*q^368+44683696*p^31*q^370+1532414*p^29*q^ 372+570048*p^27*q^374+4790*p^25*q^376+48*p^58*q^342+1944*p^56*q^344+520420*p^54 *q^346+40613665*p^52*q^348+1583029638*p^50*q^350+23687009167*p^48*q^352+ 146271124316*p^46*q^354+467192006746*p^44*q^356+630817005442*p^42*q^358+ 305381795342*p^40*q^360+62557394486*p^38*q^362+8455239546*p^36*q^364+1065850202 *p^34*q^366+120456800*p^32*q^368+11410750*p^30*q^370+973264*p^28*q^372+71624*p^ 26*q^374+100*p^24*q^376+20*p^57*q^342+25754*p^55*q^344+3279416*p^53*q^346+ 234546660*p^51*q^348+6287491578*p^49*q^350+59289297460*p^47*q^352+273083762882* p^45*q^354+598880728581*p^43*q^356+502585313070*p^41*q^358+155164581486*p^39*q^ 360+24700091248*p^37*q^362+3154042866*p^35*q^364+354355744*p^33*q^366+50266756* p^31*q^368+1772222*p^29*q^370+547008*p^27*q^372+5040*p^25*q^374+620*p^56*q^342+ 409638*p^54*q^344+28497572*p^52*q^346+1209630545*p^50*q^348+19927873310*p^48*q^ 350+129032768389*p^46*q^352+433449594038*p^44*q^354+618183928150*p^42*q^356+ 319265968024*p^40*q^358+67894846463*p^38*q^360+9302055166*p^36*q^362+1184022542 *p^34*q^364+124756358*p^32*q^366+14099594*p^30*q^368+550900*p^28*q^370+161308*p ^26*q^372+736*p^24*q^374+325*p^57*q^340+19012*p^55*q^342+2646858*p^53*q^344+ 174833648*p^51*q^346+4984399124*p^49*q^348+51107442280*p^47*q^350+245292453940* p^45*q^352+570113252278*p^43*q^354+507700463995*p^41*q^356+166197046670*p^39*q^ 358+27066698157*p^37*q^360+3441780696*p^35*q^362+398767328*p^33*q^364+54821932* p^31*q^366+2725428*p^29*q^368+622684*p^27*q^370+7244*p^25*q^372+448*p^56*q^340+ 223924*p^54*q^342+18422725*p^52*q^344+896658926*p^50*q^346+16426499659*p^48*q^ 348+113806144506*p^46*q^350+399016863074*p^44*q^352+606947793196*p^42*q^354+ 332172140033*p^40*q^356+73780727352*p^38*q^358+10205297614*p^36*q^360+ 1300745358*p^34*q^362+131264594*p^32*q^364+17438304*p^30*q^366+359200*p^28*q^ 368+171420*p^26*q^370+256*p^24*q^372+104*p^57*q^338+8416*p^55*q^340+1928742*p^ 53*q^342+126572134*p^51*q^344+3915845484*p^49*q^346+43903966648*p^47*q^348+ 220941350346*p^45*q^350+539194411535*p^43*q^352+512738077358*p^41*q^354+ 176676139910*p^39*q^356+29534318410*p^37*q^358+3741311246*p^35*q^360+446600004* p^33*q^362+56031796*p^31*q^364+3517184*p^29*q^366+410856*p^27*q^368+29260*p^25* q^370+52*p^23*q^372+1260*p^56*q^338+142933*p^54*q^340+13106306*p^52*q^342+ 672750726*p^50*q^344+13550773340*p^48*q^346+99579660846*p^46*q^348+367619167098 *p^44*q^350+589797856035*p^42*q^352+345116982076*p^40*q^354+79887671364*p^38*q^ 356+11247256066*p^36*q^358+1424567326*p^34*q^360+142725312*p^32*q^362+21003454* p^30*q^364+500768*p^28*q^366+251688*p^26*q^368+352*p^24*q^370+5330*p^55*q^338+ 1355272*p^53*q^340+89818334*p^51*q^342+3042835183*p^49*q^344+37488887632*p^47*q ^346+197335829893*p^45*q^348+509508149854*p^43*q^350+514278910325*p^41*q^352+ 188155532890*p^39*q^354+32300349621*p^37*q^356+4104708294*p^35*q^358+504218856* p^33*q^360+56590666*p^31*q^362+4760468*p^29*q^364+191004*p^27*q^366+39360*p^25* q^368+1454*p^56*q^336+83614*p^54*q^338+9587777*p^52*q^340+500304054*p^50*q^342+ 10989287156*p^48*q^344+87147651502*p^46*q^346+335814389588*p^44*q^348+ 574147427030*p^42*q^350+356274320129*p^40*q^352+86565413538*p^38*q^354+ 12329776503*p^36*q^356+1540674842*p^34*q^358+157689286*p^32*q^360+24331486*p^30 *q^362+705396*p^28*q^364+270016*p^26*q^366+2848*p^24*q^368+4569*p^55*q^336+ 887070*p^53*q^338+61385998*p^51*q^340+2327983778*p^49*q^342+31728493765*p^47*q^ 344+176592226952*p^45*q^346+478004555205*p^43*q^348+515739386724*p^41*q^350+ 199211587144*p^39*q^352+35263037818*p^37*q^354+4507419148*p^35*q^356+567329948* p^33*q^358+56968135*p^31*q^360+5970946*p^29*q^362+99188*p^27*q^364+56700*p^25*q ^366+92*p^56*q^334+44836*p^54*q^336+6634840*p^52*q^338+371965069*p^50*q^340+ 8905499724*p^48*q^342+75875119727*p^46*q^344+307192725132*p^44*q^346+ 553763080224*p^42*q^348+367281385982*p^40*q^350+93275749516*p^38*q^352+ 13527828516*p^36*q^354+1656554222*p^34*q^356+175871982*p^32*q^358+25812616*p^30 *q^360+1057704*p^28*q^362+163096*p^26*q^364+7384*p^24*q^366+8792*p^55*q^334+ 607023*p^53*q^336+45885292*p^51*q^338+1783075871*p^49*q^340+26728904836*p^47*q^ 342+156458888952*p^45*q^344+448262851908*p^43*q^346+512431905074*p^41*q^348+ 211093767498*p^39*q^350+38593377789*p^37*q^352+4985875306*p^35*q^354+637831490* p^33*q^356+59304608*p^31*q^358+8047122*p^29*q^360+111736*p^27*q^362+108420*p^25 *q^364+104*p^23*q^366+92*p^56*q^332+31350*p^54*q^334+4734058*p^52*q^336+ 264789060*p^50*q^338+7058523290*p^48*q^340+65796122972*p^46*q^342+278728514876* p^44*q^344+534736740320*p^42*q^346+376768223036*p^40*q^348+100727525062*p^38*q^ 350+14798662331*p^36*q^352+1801446358*p^34*q^354+200031596*p^32*q^356+26394722* p^30*q^358+1339692*p^28*q^360+76924*p^26*q^362+6160*p^24*q^364+6*p^57*q^330+ 2604*p^55*q^332+328772*p^53*q^334+31252639*p^51*q^336+1352487398*p^49*q^338+ 22308098628*p^47*q^340+139126461870*p^45*q^342+417510418468*p^43*q^344+ 509906684488*p^41*q^346+221785050687*p^39*q^348+42039646858*p^37*q^350+ 5485768149*p^35*q^352+687096376*p^33*q^354+61274948*p^31*q^356+9893256*p^29*q^ 358+182158*p^27*q^360+93988*p^25*q^362+956*p^23*q^364+34462*p^54*q^332+3373212* p^52*q^334+195675681*p^50*q^336+5602450692*p^48*q^338+56729412143*p^46*q^340+ 253092781406*p^44*q^342+511370092125*p^42*q^344+385569539268*p^40*q^346+ 108236653443*p^38*q^348+16255707654*p^36*q^350+1959562585*p^34*q^352+236987996* p^32*q^354+26697456*p^30*q^356+1839720*p^28*q^358+20760*p^26*q^360+25298*p^24*q ^362+1508*p^55*q^330+241972*p^53*q^332+22704650*p^51*q^334+1015421185*p^49*q^ 336+18464128428*p^47*q^338+122446403716*p^45*q^340+388339178892*p^43*q^342+ 502963475056*p^41*q^344+233606077316*p^39*q^346+45869838510*p^37*q^348+ 6047259612*p^35*q^350+749043551*p^33*q^352+65073454*p^31*q^354+11166068*p^29*q^ 356+282972*p^27*q^358+71808*p^25*q^360+212*p^23*q^362+104*p^56*q^328+24860*p^54 *q^330+2136496*p^52*q^332+139916704*p^50*q^334+4361880571*p^48*q^336+ 48733572838*p^46*q^338+227904713750*p^44*q^340+490021393334*p^42*q^342+ 392165283213*p^40*q^344+116397606736*p^38*q^346+17785832972*p^36*q^348+ 2158033710*p^34*q^350+268704722*p^32*q^352+26559882*p^30*q^354+2751934*p^28*q^ 356+20566*p^26*q^358+32136*p^24*q^360+56*p^22*q^362+282*p^55*q^328+150852*p^53* q^330+16043643*p^51*q^332+751313106*p^49*q^334+15130902917*p^47*q^336+ 108005531586*p^45*q^338+358996278506*p^43*q^340+495990084172*p^41*q^342+ 244162680121*p^39*q^344+49914955126*p^37*q^346+6639550166*p^35*q^348+796167470* p^33*q^350+75278326*p^31*q^352+11895588*p^29*q^354+292490*p^27*q^356+19720*p^25 *q^358+3118*p^23*q^360+13218*p^54*q^328+1481612*p^52*q^330+101138711*p^50*q^332 +3404756774*p^48*q^334+41551865592*p^46*q^336+205569888238*p^44*q^338+ 464816881377*p^42*q^340+398412540114*p^40*q^342+124424759295*p^38*q^344+ 19510266688*p^36*q^346+2379734876*p^34*q^348+304340330*p^32*q^350+24637988*p^30 *q^352+3682232*p^28*q^354+55228*p^26*q^356+38730*p^24*q^358+770*p^55*q^326+ 137618*p^53*q^328+11425306*p^51*q^330+560370953*p^49*q^332+12273091586*p^47*q^ 334+94323437335*p^45*q^336+331342662028*p^43*q^338+485186130387*p^41*q^340+ 255255331362*p^39*q^342+54332509149*p^37*q^344+7313450944*p^35*q^346+858614624* p^33*q^348+89245402*p^31*q^350+13046008*p^29*q^352+523902*p^27*q^354+1836*p^25* q^356+6760*p^23*q^358+6400*p^54*q^326+941518*p^52*q^328+71857480*p^50*q^330+ 2599353571*p^48*q^332+35211142360*p^46*q^334+183817067785*p^44*q^336+ 441808957196*p^42*q^338+402061073707*p^40*q^340+133184129342*p^38*q^342+ 21372945568*p^36*q^344+2629511408*p^34*q^346+333352686*p^32*q^348+24400952*p^30 *q^350+4230054*p^28*q^352+42276*p^26*q^354+21572*p^24*q^356+142*p^22*q^358+292* p^55*q^324+87772*p^53*q^326+7772045*p^51*q^328+410349956*p^49*q^330+9858093141* p^47*q^332+82541140442*p^45*q^334+303797197508*p^43*q^336+474691981808*p^41*q^ 338+264906769920*p^39*q^340+58991240846*p^37*q^342+7999912595*p^35*q^344+ 928298144*p^33*q^346+106698692*p^31*q^348+12463490*p^29*q^350+864276*p^27*q^352 +7312*p^25*q^354+11024*p^23*q^356+8*p^56*q^322+3692*p^54*q^324+649478*p^52*q^ 326+51867413*p^50*q^328+1985302890*p^48*q^330+29605000884*p^46*q^332+ 164462216644*p^44*q^334+415952308065*p^42*q^336+405289178490*p^40*q^338+ 141671318675*p^38*q^340+23417032594*p^36*q^342+2914117762*p^34*q^344+358683918* p^32*q^346+26274772*p^30*q^348+5133438*p^28*q^350+64006*p^26*q^352+1868*p^24*q^ 354+904*p^22*q^356+4*p^55*q^322+61626*p^53*q^324+5551000*p^51*q^326+302222081*p ^49*q^328+7880611814*p^47*q^330+71446475651*p^45*q^332+278430919518*p^43*q^334+ 460138147049*p^41*q^336+274947289606*p^39*q^338+63985981375*p^37*q^340+ 8805295168*p^35*q^342+1011101175*p^33*q^344+126227486*p^31*q^346+11093350*p^29* q^348+1175832*p^27*q^350+8528*p^25*q^352+13624*p^23*q^354+11*p^56*q^320+4574*p^ 54*q^322+493232*p^52*q^324+36918468*p^50*q^326+1493014089*p^48*q^328+ 24599571562*p^46*q^330+145898517865*p^44*q^332+391809627688*p^42*q^334+ 405753995272*p^40*q^336+150975272992*p^38*q^338+25643590226*p^36*q^340+ 3220801122*p^34*q^342+385454498*p^32*q^344+30662594*p^30*q^346+6017876*p^28*q^ 348+134692*p^26*q^350+464*p^24*q^352+1456*p^22*q^354+112*p^55*q^320+23872*p^53* q^322+3394538*p^51*q^324+215603460*p^49*q^326+6185229910*p^47*q^328+61979971324 *p^45*q^330+253429292990*p^43*q^332+446841963344*p^41*q^334+283263708588*p^39*q ^336+69196274518*p^37*q^338+9628107195*p^35*q^340+1112166516*p^33*q^342+ 141323902*p^31*q^344+9791412*p^29*q^346+1421354*p^27*q^348+4112*p^25*q^350+2574 *p^23*q^352+60*p^21*q^354+440*p^54*q^320+374326*p^52*q^322+26868713*p^50*q^324+ 1135163902*p^48*q^326+20382053236*p^46*q^328+129569338690*p^44*q^330+ 365817818628*p^42*q^332+405355536686*p^40*q^334+159490750521*p^38*q^336+ 28108855154*p^36*q^338+3548516926*p^34*q^340+406566924*p^32*q^342+39334450*p^30 *q^344+5909466*p^28*q^346+243100*p^26*q^348+1556*p^24*q^350+4788*p^22*q^352+180 *p^55*q^318+32136*p^53*q^320+2547256*p^51*q^322+159272422*p^49*q^324+4824098888 *p^47*q^326+52971336788*p^45*q^328+230310467780*p^43*q^330+429558884766*p^41*q^ 332+292079306380*p^39*q^334+74903397767*p^37*q^336+10595206932*p^35*q^338+ 1238932777*p^33*q^340+161174940*p^31*q^342+8768116*p^29*q^344+2075604*p^27*q^ 346+13382*p^25*q^348+8*p^23*q^350+60*p^21*q^352+900*p^54*q^318+196146*p^52*q^ 320+17941524*p^50*q^322+831831649*p^48*q^324+16658255056*p^46*q^326+ 114085324513*p^44*q^328+342000155978*p^42*q^330+402485828527*p^40*q^332+ 168809204322*p^38*q^334+30681954749*p^36*q^336+3896569156*p^34*q^338+432576854* p^32*q^340+46253330*p^30*q^342+5479408*p^28*q^344+307310*p^26*q^346+80*p^24*q^ 348+2002*p^22*q^350+32*p^55*q^316+11260*p^53*q^318+1855436*p^51*q^320+114690244 *p^49*q^322+3745562004*p^47*q^324+45314663932*p^45*q^326+207972129740*p^43*q^ 328+413420695420*p^41*q^330+298509678873*p^39*q^332+80763682948*p^37*q^334+ 11615597096*p^35*q^336+1378540348*p^33*q^338+172232544*p^31*q^340+10309356*p^29 *q^342+2430998*p^27*q^344+31404*p^25*q^346+148*p^23*q^348+872*p^21*q^350+1423*p ^54*q^316+158256*p^52*q^318+12562530*p^50*q^320+621324260*p^48*q^322+ 13488972428*p^46*q^324+100480704096*p^44*q^326+316756456347*p^42*q^328+ 398838665408*p^40*q^330+177396745141*p^38*q^332+33568321392*p^36*q^334+ 4286456584*p^34*q^336+466160138*p^32*q^338+57529442*p^30*q^340+4186780*p^28*q^ 342+470796*p^26*q^344+748*p^24*q^346+6684*p^53*q^316+1258638*p^51*q^318+ 83078937*p^49*q^320+2873392364*p^47*q^322+38280865458*p^45*q^324+187552836426*p ^43*q^326+394055757608*p^41*q^328+305364578012*p^39*q^330+86862677854*p^37*q^ 332+12786262840*p^35*q^334+1530300659*p^33*q^336+183954624*p^31*q^338+12249512* p^29*q^340+2815024*p^27*q^342+58522*p^25*q^344+910*p^21*q^348+790*p^54*q^314+ 115300*p^52*q^316+8954066*p^50*q^318+455920063*p^48*q^320+10806729338*p^46*q^ 322+87607545727*p^44*q^324+293576760548*p^42*q^326+392722498013*p^40*q^328+ 186432151496*p^38*q^330+36655143808*p^36*q^332+4695789968*p^34*q^334+512362284* p^32*q^336+66532740*p^30*q^338+3389332*p^28*q^340+675120*p^26*q^342+1956*p^24*q ^344+4*p^22*q^346+64*p^20*q^348+7810*p^53*q^314+789380*p^51*q^316+57823676*p^49 *q^318+2176197751*p^47*q^320+32208496038*p^45*q^322+167996075510*p^43*q^324+ 376192373474*p^41*q^326+309655690043*p^39*q^328+93353063426*p^37*q^330+ 14012683830*p^35*q^332+1698297194*p^33*q^334+191382662*p^31*q^336+15957016*p^29 *q^338+2563072*p^27*q^340+73540*p^25*q^342+12*p^23*q^344+68*p^54*q^312+51124*p^ 52*q^314+6343452*p^50*q^316+336326776*p^48*q^318+8613944868*p^46*q^320+ 76452018552*p^44*q^322+269768059787*p^42*q^324+385855232512*p^40*q^326+ 194608675814*p^38*q^328+39933899466*p^36*q^330+5145914580*p^34*q^332+568161650* p^32*q^334+75104088*p^30*q^336+3077494*p^28*q^338+968206*p^26*q^340+7964*p^24*q ^342+240*p^20*q^346+7319*p^53*q^312+693958*p^51*q^314+42108437*p^49*q^316+ 1653557954*p^47*q^318+26743076909*p^45*q^320+150211976636*p^43*q^322+ 355361257671*p^41*q^324+314126714896*p^39*q^326+99891530602*p^37*q^328+ 15465208262*p^35*q^330+1883001239*p^33*q^332+201132008*p^31*q^334+20993958*p^29 *q^336+2045376*p^27*q^338+125098*p^25*q^340+36*p^23*q^342+34*p^54*q^310+44558*p ^52*q^312+4207294*p^50*q^314+242597679*p^48*q^316+6743736040*p^46*q^318+ 65864674990*p^44*q^320+248003647554*p^42*q^322+376570935263*p^40*q^324+ 203305508894*p^38*q^326+43500072418*p^36*q^328+5643416692*p^34*q^330+633485172* p^32*q^332+82304152*p^30*q^334+3427012*p^28*q^336+1181450*p^26*q^338+10808*p^24 *q^340+2140*p^53*q^310+370299*p^51*q^312+28965416*p^49*q^314+1233147816*p^47*q^ 316+22113264140*p^45*q^318+133620087472*p^43*q^320+336343994372*p^41*q^322+ 315982007876*p^39*q^324+106656319854*p^37*q^326+16947806599*p^35*q^328+ 2062948020*p^33*q^330+211619902*p^31*q^332+24946824*p^29*q^334+1426032*p^27*q^ 336+204842*p^25*q^338+504*p^23*q^340+34*p^19*q^344+6*p^54*q^308+38648*p^52*q^ 310+3246406*p^50*q^312+179056820*p^48*q^314+5283137127*p^46*q^316+56793168840*p ^44*q^318+225774056266*p^42*q^320+366958018780*p^40*q^322+210475811427*p^38*q^ 324+47332713968*p^36*q^326+6205699406*p^34*q^328+716242992*p^32*q^330+87512428* p^30*q^332+5214656*p^28*q^334+1133088*p^26*q^336+14544*p^24*q^338+806*p^53*q^ 308+282036*p^51*q^310+20705630*p^49*q^312+921474752*p^47*q^314+18008339275*p^45 *q^316+118317950632*p^43*q^318+315288849393*p^41*q^320+317793027964*p^39*q^322+ 113580646153*p^37*q^324+18658212832*p^35*q^326+2266287223*p^33*q^328+229572654* p^31*q^330+30385058*p^29*q^332+826818*p^27*q^334+364352*p^25*q^336+1668*p^23*q^ 338+16*p^54*q^306+24976*p^52*q^308+2201690*p^50*q^310+126760040*p^48*q^312+ 4065218672*p^46*q^314+48289475081*p^44*q^316+205954931272*p^42*q^318+ 354806439818*p^40*q^320+218356605534*p^38*q^322+51303195751*p^36*q^324+ 6836577802*p^34*q^326+799892052*p^32*q^328+90003512*p^30*q^330+6518782*p^28*q^ 332+1040276*p^26*q^334+25000*p^24*q^336+8*p^22*q^338+2*p^18*q^342+224*p^53*q^ 306+177498*p^51*q^308+14533218*p^49*q^310+681819520*p^47*q^312+14598894314*p^45 *q^314+104190503937*p^43*q^316+295668492840*p^41*q^318+317170506546*p^39*q^320+ 120610002706*p^37*q^322+20420927475*p^35*q^324+2465991338*p^33*q^326+252934838* p^31*q^328+34748654*p^29*q^330+1035748*p^27*q^332+401904*p^25*q^334+872*p^23*q^ 336+8*p^54*q^304+10226*p^52*q^306+1578331*p^50*q^308+90997376*p^48*q^310+ 3127378729*p^46*q^312+40997485234*p^44*q^314+186070298564*p^42*q^316+ 342750807410*p^40*q^318+224325045165*p^38*q^320+55615874148*p^36*q^322+ 7560358045*p^34*q^324+896094512*p^32*q^326+91840182*p^30*q^328+8722978*p^28*q^ 330+561460*p^26*q^332+74106*p^24*q^334+156*p^22*q^336+288*p^53*q^304+156876*p^ 51*q^306+10711768*p^49*q^308+506742880*p^47*q^310+11665913002*p^45*q^312+ 91440778784*p^43*q^314+274526692320*p^41*q^316+316206161906*p^39*q^318+ 127626225916*p^37*q^320+22454475918*p^35*q^322+2695611882*p^33*q^324+285266902* p^31*q^326+39312470*p^29*q^328+1377720*p^27*q^330+522960*p^25*q^332+1568*p^23*q ^334+8*p^54*q^302+4296*p^52*q^304+1003948*p^50*q^306+64742526*p^48*q^308+ 2359941648*p^46*q^310+34310291168*p^44*q^312+168075762294*p^42*q^314+ 328690482833*p^40*q^316+230816970042*p^38*q^318+60078980974*p^36*q^320+ 8326540638*p^34*q^322+989002471*p^32*q^324+95127634*p^30*q^326+10709420*p^28*q^ 328+297876*p^26*q^330+93332*p^24*q^332+12*p^22*q^334+6*p^55*q^300+180*p^53*q^ 302+88664*p^51*q^304+7584866*p^49*q^306+366193003*p^47*q^308+9274772542*p^45*q^ 310+79598518418*p^43*q^312+255492189010*p^41*q^314+312642632092*p^39*q^316+ 134720293440*p^37*q^318+24528134379*p^35*q^320+2961710328*p^33*q^322+323631301* p^31*q^324+40664230*p^29*q^326+1948852*p^27*q^328+445598*p^25*q^330+8956*p^23*q ^332+4*p^21*q^334+2698*p^52*q^302+720281*p^50*q^304+46445112*p^48*q^306+ 1797537255*p^46*q^308+28598202594*p^44*q^310+150637128114*p^42*q^312+ 314587641308*p^40*q^314+235393547692*p^38*q^316+64813043954*p^36*q^318+ 9195863071*p^34*q^320+1078448500*p^32*q^322+99930066*p^30*q^324+13696038*p^28*q ^326+261918*p^26*q^328+147298*p^24*q^330+28*p^22*q^332+154*p^53*q^300+45954*p^ 51*q^302+5557943*p^49*q^304+269095438*p^47*q^306+7270771172*p^45*q^308+ 69041642682*p^43*q^310+235054820319*p^41*q^312+309073616678*p^39*q^314+ 141487755947*p^37*q^316+26899923218*p^35*q^318+3269301241*p^33*q^320+373010104* p^31*q^322+42293652*p^29*q^324+2580178*p^27*q^326+240324*p^25*q^328+16584*p^23* q^330+104*p^54*q^298+2400*p^52*q^300+556398*p^50*q^302+33459877*p^48*q^304+ 1341164172*p^46*q^306+23479615983*p^44*q^308+134742410584*p^42*q^310+ 298914161063*p^40*q^312+240262420044*p^38*q^314+69729099998*p^36*q^316+ 10143498762*p^34*q^318+1172103126*p^32*q^320+108725346*p^30*q^322+16117366*p^28 *q^324+339208*p^26*q^326+213018*p^24*q^328+516*p^22*q^330+36*p^53*q^298+23178*p ^51*q^300+3375460*p^49*q^302+191000678*p^47*q^304+5652216030*p^45*q^306+ 59332558049*p^43*q^308+216866820920*p^41*q^310+303035296689*p^39*q^312+ 148399287144*p^37*q^314+29310752125*p^35*q^316+3601986412*p^33*q^318+418129218* p^31*q^320+41593232*p^29*q^322+3381514*p^27*q^324+108314*p^25*q^326+21196*p^23* q^328+1516*p^52*q^298+324778*p^50*q^300+25483980*p^48*q^302+1006316439*p^46*q^ 304+19264313734*p^44*q^306+119609710585*p^42*q^308+283552716192*p^40*q^310+ 242743724933*p^38*q^312+74829276702*p^36*q^314+11168432483*p^34*q^316+ 1277212670*p^32*q^318+123697127*p^30*q^320+18096266*p^28*q^322+532612*p^26*q^ 324+168206*p^24*q^326+2268*p^22*q^328+756*p^53*q^296+20960*p^51*q^298+2745844*p ^49*q^300+139299934*p^47*q^302+4367796276*p^45*q^304+50608587390*p^43*q^306+ 197724830958*p^41*q^308+296804727210*p^39*q^310+154860969692*p^37*q^312+ 32103042468*p^35*q^314+4003952419*p^33*q^316+468926086*p^31*q^318+41777502*p^29 *q^320+4807936*p^27*q^322+49708*p^25*q^324+58108*p^23*q^326+8*p^21*q^328+780*p^ 52*q^296+186686*p^50*q^298+16703683*p^48*q^300+735382674*p^46*q^302+15457662989 *p^44*q^304+106016018896*p^42*q^306+267025860280*p^40*q^308+245798565866*p^38*q ^310+79996986913*p^36*q^312+12278301660*p^34*q^314+1391384638*p^32*q^316+ 143058154*p^30*q^318+18978364*p^28*q^320+598596*p^26*q^322+102912*p^24*q^324+ 1232*p^22*q^326+180*p^53*q^294+12070*p^51*q^296+1796454*p^49*q^298+103228914*p^ 47*q^300+3353281878*p^45*q^302+42898803248*p^43*q^304+180702989668*p^41*q^306+ 288301751889*p^39*q^308+161136806580*p^37*q^310+34883440578*p^35*q^312+ 4426788696*p^33*q^314+509060707*p^31*q^316+41696366*p^29*q^318+6092910*p^27*q^ 320+96082*p^25*q^322+67548*p^23*q^324+172*p^21*q^326+3082*p^52*q^294+135464*p^ 50*q^296+12165940*p^48*q^298+540291573*p^46*q^300+12396451888*p^44*q^302+ 92963436533*p^42*q^304+251008535266*p^40*q^306+246322966229*p^38*q^308+ 85500692514*p^36*q^310+13520517675*p^34*q^312+1531763304*p^32*q^314+168920067*p ^30*q^316+19583290*p^28*q^318+1001046*p^26*q^320+23644*p^24*q^322+8716*p^22*q^ 324+7736*p^51*q^294+1186162*p^49*q^296+74746202*p^47*q^298+2547930991*p^45*q^ 300+36017570046*p^43*q^302+163378154523*p^41*q^304+279894620582*p^39*q^306+ 166765870124*p^37*q^308+37986944648*p^35*q^310+4907190547*p^33*q^312+553743152* p^31*q^314+44426710*p^29*q^316+7190690*p^27*q^318+90680*p^25*q^320+67676*p^23*q ^322+16*p^21*q^324+2590*p^52*q^292+91084*p^50*q^294+8740362*p^48*q^296+ 397097220*p^46*q^298+9791112945*p^44*q^300+81338794820*p^42*q^302+234059080593* p^40*q^304+247019438996*p^38*q^306+90867346389*p^36*q^308+14894354944*p^34*q^ 310+1689777717*p^32*q^312+193886452*p^30*q^314+18902630*p^28*q^316+1497114*p^26 *q^318+13024*p^24*q^320+15620*p^22*q^322+4*p^20*q^324+4*p^53*q^290+9664*p^51*q^ 292+770558*p^49*q^294+52129780*p^47*q^296+1906448578*p^45*q^298+29882131820*p^ 43*q^300+147885025248*p^41*q^302+269518059042*p^39*q^304+172380036570*p^37*q^ 306+41195423161*p^35*q^308+5398646964*p^33*q^310+599147160*p^31*q^312+51258738* p^29*q^314+8150868*p^27*q^316+137204*p^25*q^318+28432*p^23*q^320+584*p^21*q^322 +152*p^52*q^290+52934*p^50*q^292+5971536*p^48*q^294+294751887*p^46*q^296+ 7733964676*p^44*q^298+70573484333*p^42*q^300+218135738338*p^40*q^302+ 245347755007*p^38*q^304+96372440066*p^36*q^306+16306496046*p^34*q^308+ 1883761132*p^32*q^310+215689886*p^30*q^312+16860634*p^28*q^314+2043922*p^26*q^ 316+16024*p^24*q^318+23872*p^22*q^320+15880*p^51*q^290+574068*p^49*q^292+ 38677332*p^47*q^294+1432677032*p^45*q^296+24577684386*p^43*q^298+132245584736*p ^41*q^300+258968624988*p^39*q^302+176902069960*p^37*q^304+44735940726*p^35*q^ 306+6008761371*p^33*q^308+647488900*p^31*q^310+63122714*p^29*q^312+9310654*p^27 *q^314+258308*p^25*q^316+2728*p^23*q^318+2204*p^21*q^320+212*p^52*q^288+41496*p ^50*q^290+4086584*p^48*q^292+211577982*p^46*q^294+5965858928*p^44*q^296+ 60869690480*p^42*q^298+201516141367*p^40*q^300+244151158820*p^38*q^302+ 101861424444*p^36*q^304+17935110814*p^34*q^306+2076176644*p^32*q^308+240400222* p^30*q^310+16060835*p^28*q^312+2471614*p^26*q^314+11020*p^24*q^316+21260*p^22*q ^318+8*p^20*q^320+8*p^53*q^286+4160*p^51*q^288+328992*p^49*q^290+26614570*p^47* q^292+1064078094*p^45*q^294+20059377423*p^43*q^296+118434446270*p^41*q^298+ 247067674651*p^39*q^300+181150641940*p^37*q^302+48213012625*p^35*q^304+ 6599638838*p^33*q^306+708216858*p^31*q^308+73297166*p^29*q^310+8621460*p^27*q^ 312+425368*p^25*q^314+2636*p^23*q^316+4112*p^21*q^318+8*p^52*q^286+59532*p^50*q ^288+2936104*p^48*q^290+156707042*p^46*q^292+4627164790*p^44*q^294+51913923132* p^42*q^296+186085091082*p^40*q^298+240122713870*p^38*q^300+107420792092*p^36*q^ 302+19674219809*p^34*q^304+2321434294*p^32*q^306+259248350*p^30*q^308+17849800* p^28*q^310+3415830*p^26*q^312+30496*p^24*q^314+3188*p^22*q^316+176*p^20*q^318+ 2736*p^51*q^286+236561*p^49*q^288+19396422*p^47*q^290+790469359*p^45*q^292+ 16168784176*p^43*q^294+104841765816*p^41*q^296+235171708430*p^39*q^298+ 184413090053*p^37*q^300+52090135534*p^35*q^302+7289882548*p^33*q^304+778645700* p^31*q^306+87317914*p^29*q^308+7666596*p^27*q^310+559280*p^25*q^312+588*p^23*q^ 314+8736*p^21*q^316+112*p^52*q^284+38078*p^50*q^286+1923115*p^48*q^288+ 110999092*p^46*q^290+3513013129*p^44*q^292+43996135772*p^42*q^294+170186915553* p^40*q^296+236700536622*p^38*q^298+112599728934*p^36*q^300+21576821660*p^34*q^ 302+2579826534*p^32*q^304+279043664*p^30*q^306+20714742*p^28*q^308+3861404*p^26 *q^310+58668*p^24*q^312+248*p^22*q^314+280*p^20*q^316+538*p^51*q^284+204744*p^ 49*q^286+13296318*p^47*q^288+585025256*p^45*q^290+12913472758*p^43*q^292+ 92833252656*p^41*q^294+222255684875*p^39*q^296+187377028802*p^37*q^298+ 55883164378*p^35*q^300+8026377284*p^33*q^302+857489980*p^31*q^304+99315120*p^29 *q^306+6412428*p^27*q^308+832222*p^25*q^310+2236*p^23*q^312+2860*p^21*q^314+4*p ^19*q^316+16*p^52*q^282+20346*p^50*q^284+1284176*p^48*q^286+81738434*p^46*q^288 +2674526248*p^44*q^290+36904110690*p^42*q^292+155442036254*p^40*q^294+ 230721398259*p^38*q^296+117805956780*p^36*q^298+23594290532*p^34*q^300+ 2858556458*p^32*q^302+300475107*p^30*q^304+25913328*p^28*q^306+4052546*p^26*q^ 308+103436*p^24*q^310+56*p^22*q^312+1880*p^20*q^314+668*p^51*q^282+193302*p^49* q^284+9631378*p^47*q^286+429197866*p^45*q^288+10228765166*p^43*q^290+ 81038869152*p^41*q^292+209713633420*p^39*q^294+188973497449*p^37*q^296+ 60118868592*p^35*q^298+8868427612*p^33*q^300+962980890*p^31*q^302+110741532*p^ 29*q^304+5927142*p^27*q^306+1186054*p^25*q^308+4598*p^23*q^310+8*p^21*q^312+4*p ^19*q^314+9916*p^50*q^282+915575*p^48*q^284+57369320*p^46*q^286+2011256718*p^44 *q^288+30640457672*p^42*q^290+140788688035*p^40*q^292+225012852526*p^38*q^294+ 122625723125*p^36*q^296+25762373138*p^34*q^298+3156702432*p^32*q^300+321202552* p^30*q^302+32049296*p^28*q^304+3612066*p^26*q^306+138468*p^24*q^308+64*p^22*q^ 310+1456*p^20*q^312+6*p^53*q^278+500*p^51*q^280+117892*p^49*q^282+6436525*p^47* q^284+313824726*p^45*q^286+7988884068*p^43*q^288+70748601680*p^41*q^290+ 196160210819*p^39*q^292+190481085690*p^37*q^294+64114221477*p^35*q^296+ 9791460774*p^33*q^298+1075103530*p^31*q^300+121043216*p^29*q^302+6404802*p^27*q ^304+1515966*p^25*q^306+14036*p^23*q^308+4*p^21*q^310+180*p^19*q^312+3088*p^50* q^280+761722*p^48*q^282+41362090*p^46*q^284+1512332294*p^44*q^286+25245973478*p ^42*q^288+127318776244*p^40*q^290+217322594652*p^38*q^292+127182873920*p^36*q^ 294+28073108859*p^34*q^296+3482222422*p^32*q^298+350138944*p^30*q^300+37983380* p^28*q^302+2765084*p^26*q^304+241132*p^24*q^306+210*p^22*q^308+24*p^51*q^278+ 83200*p^49*q^280+4544812*p^47*q^282+231623647*p^45*q^284+6214820374*p^43*q^286+ 60808051861*p^41*q^288+183102034786*p^39*q^290+190257722844*p^37*q^292+ 68525353922*p^35*q^294+10809041051*p^33*q^296+1206236476*p^31*q^298+129859082*p ^29*q^300+8412292*p^27*q^302+1794753*p^25*q^304+19542*p^23*q^306+420*p^19*q^310 +104*p^52*q^276+5186*p^50*q^278+577646*p^48*q^280+29406368*p^46*q^282+ 1117930966*p^44*q^284+20510499662*p^42*q^286+113966639233*p^40*q^288+ 210149748876*p^38*q^290+131350460358*p^36*q^292+30582311144*p^34*q^294+ 3853924325*p^32*q^296+385654404*p^30*q^298+44703987*p^28*q^300+2107784*p^26*q^ 302+355844*p^24*q^304+1012*p^22*q^306+4*p^18*q^310+16*p^51*q^276+25950*p^49*q^ 278+3128388*p^47*q^280+163642848*p^45*q^282+4777574642*p^43*q^284+52205548604*p ^41*q^286+169670643410*p^39*q^288+189868992444*p^37*q^290+72606302799*p^35*q^ 292+11894974636*p^33*q^294+1331543032*p^31*q^296+136988368*p^29*q^298+10333574* p^27*q^300+1571500*p^25*q^302+31620*p^23*q^304+8*p^21*q^306+4*p^52*q^274+984*p^ 50*q^276+438582*p^48*q^278+20896980*p^46*q^280+843917932*p^44*q^282+16563704334 *p^42*q^284+101799092472*p^40*q^286+200848770642*p^38*q^288+135248799290*p^36*q ^290+33163456875*p^34*q^292+4260300390*p^32*q^294+435125424*p^30*q^296+50573004 *p^28*q^298+2020842*p^26*q^300+589644*p^24*q^302+2728*p^22*q^304+64*p^18*q^308+ 754*p^51*q^274+30814*p^49*q^276+2521254*p^47*q^278+120700239*p^45*q^280+ 3641855094*p^43*q^282+44060865990*p^41*q^284+156759139960*p^39*q^286+ 187895807389*p^37*q^288+77031467032*p^35*q^290+13124053651*p^33*q^292+ 1490097532*p^31*q^294+144299498*p^29*q^296+13440964*p^27*q^298+1317332*p^25*q^ 300+51004*p^23*q^302+24*p^21*q^304+420*p^50*q^274+222046*p^48*q^276+14063262*p^ 46*q^278+611637574*p^44*q^280+13194928020*p^42*q^282+89989679097*p^40*q^284+ 192222663332*p^38*q^286+138489710087*p^36*q^288+35987552436*p^34*q^290+ 4711107564*p^32*q^292+483433138*p^30*q^294+56180530*p^28*q^296+2314920*p^26*q^ 298+637280*p^24*q^300+2444*p^22*q^302+228*p^51*q^272+14212*p^49*q^274+1875000*p ^47*q^276+86675400*p^45*q^278+2770774944*p^43*q^280+37121573030*p^41*q^282+ 143631839501*p^39*q^284+185840683252*p^37*q^286+80976777502*p^35*q^288+ 14406527120*p^33*q^290+1637767946*p^31*q^292+155571326*p^29*q^294+16091043*p^27 *q^296+843178*p^25*q^298+123122*p^23*q^300+256*p^21*q^302+4*p^17*q^306+3024*p^ 50*q^272+151452*p^48*q^274+10467006*p^46*q^276+452246522*p^44*q^278+10421645756 *p^42*q^280+79216268252*p^40*q^282+182008159152*p^38*q^284+141264847312*p^36*q^ 286+38884028621*p^34*q^288+5230994618*p^32*q^290+550141432*p^30*q^292+59746044* p^28*q^294+3151133*p^26*q^296+710462*p^24*q^298+4500*p^22*q^300+8*p^51*q^270+ 5296*p^49*q^272+1290498*p^47*q^274+61434833*p^45*q^276+2091445380*p^43*q^278+ 30754265088*p^41*q^280+131343589604*p^39*q^282+182033565917*p^37*q^284+ 85388596858*p^35*q^286+15827770232*p^33*q^288+1811315688*p^31*q^290+168542576*p ^29*q^292+19785766*p^27*q^294+594410*p^25*q^296+167714*p^23*q^298+104*p^21*q^ 300+2798*p^50*q^270+111898*p^48*q^272+7812018*p^46*q^274+330507784*p^44*q^276+ 8140514514*p^42*q^278+68904131016*p^40*q^280+172277488860*p^38*q^282+ 143317185793*p^36*q^284+41884734538*p^34*q^286+5795178730*p^32*q^288+617103028* p^30*q^290+62438424*p^28*q^292+4074040*p^26*q^294+593444*p^24*q^296+15308*p^22* q^298+8*p^20*q^300+8916*p^49*q^270+770153*p^47*q^272+42801260*p^45*q^274+ 1558225981*p^43*q^276+25336938542*p^41*q^278+119020966702*p^39*q^280+ 178398701834*p^37*q^282+89185332282*p^35*q^284+17385397816*p^33*q^286+ 1997718357*p^31*q^288+187095612*p^29*q^290+23100494*p^27*q^292+603746*p^25*q^ 294+226114*p^23*q^296+256*p^21*q^298+352*p^50*q^268+46370*p^48*q^270+5699112*p^ 46*q^272+242075828*p^44*q^274+6333973992*p^42*q^276+59751620142*p^40*q^278+ 161425215520*p^38*q^280+144876645358*p^36*q^282+44904841792*p^34*q^284+ 6403462380*p^32*q^286+688618500*p^30*q^288+64163698*p^28*q^290+5209764*p^26*q^ 292+329604*p^24*q^294+30868*p^22*q^296+4*p^20*q^298+15852*p^49*q^268+614308*p^ 47*q^270+32258762*p^45*q^272+1165790420*p^43*q^274+20570345070*p^41*q^276+ 107326654272*p^39*q^278+172969943259*p^37*q^280+93161420298*p^35*q^282+ 19069592443*p^33*q^284+2227694048*p^31*q^286+214816438*p^29*q^288+25932524*p^27 *q^290+863048*p^25*q^292+302958*p^23*q^294+956*p^21*q^296+3*p^52*q^264+148*p^50 *q^266+36978*p^48*q^268+3794542*p^46*q^270+170933050*p^44*q^272+4851176624*p^42 *q^274+50994652220*p^40*q^276+151343288580*p^38*q^278+145666817368*p^36*q^280+ 48235586794*p^34*q^282+7088911481*p^32*q^284+758163386*p^30*q^286+66123884*p^28 *q^288+6957228*p^26*q^290+175920*p^24*q^292+39184*p^22*q^294+12*p^20*q^296+5552 *p^49*q^266+319524*p^47*q^268+22867774*p^45*q^270+862415129*p^43*q^272+ 16596688614*p^41*q^274+96114142460*p^39*q^276+167729092762*p^37*q^278+ 96510146111*p^35*q^280+20768123190*p^33*q^282+2454122757*p^31*q^284+245266098*p ^29*q^286+27193602*p^27*q^288+1019830*p^25*q^290+223630*p^23*q^292+4034*p^21*q^ 294+8*p^50*q^264+54130*p^48*q^266+2799824*p^46*q^268+125851412*p^44*q^270+ 3721560336*p^42*q^272+43405050412*p^40*q^274+140115736451*p^38*q^276+ 145871329422*p^36*q^278+51373100047*p^34*q^280+7879962164*p^32*q^282+842184084* p^30*q^284+70675430*p^28*q^286+8876608*p^26*q^288+163586*p^24*q^290+89646*p^22* q^292+20*p^20*q^294+48*p^51*q^262+2536*p^49*q^264+222310*p^47*q^266+16670660*p^ 45*q^268+635051970*p^43*q^270+13176381991*p^41*q^272+85417246968*p^39*q^274+ 161037320583*p^37*q^276+100035496352*p^35*q^278+22702323462*p^33*q^280+ 2726208060*p^31*q^282+279755460*p^29*q^284+28057626*p^27*q^286+1519974*p^25*q^ 288+131414*p^23*q^290+3500*p^21*q^292+41072*p^48*q^264+1790810*p^46*q^266+ 90217736*p^44*q^268+2805646154*p^42*q^270+36360609627*p^40*q^272+129897219590*p ^38*q^274+145164465298*p^36*q^276+54753682038*p^34*q^278+8689699396*p^32*q^280+ 930483046*p^30*q^282+78524888*p^28*q^284+10354526*p^26*q^286+164982*p^24*q^288+ 98684*p^22*q^290+294*p^20*q^292+480*p^49*q^262+170810*p^47*q^264+11771862*p^45* q^266+461866257*p^43*q^268+10435777736*p^41*q^270+75267912916*p^39*q^272+ 154524898862*p^37*q^274+102700454571*p^35*q^276+24672730556*p^33*q^278+ 3034427560*p^31*q^280+310927832*p^29*q^282+27503458*p^27*q^284+2218050*p^25*q^ 286+48665*p^23*q^288+14676*p^21*q^290+321*p^50*q^260+21604*p^48*q^262+1196696*p ^46*q^264+66133618*p^44*q^266+2124495737*p^42*q^268+30260153888*p^40*q^270+ 118961896412*p^38*q^272+144040424074*p^36*q^274+57927551155*p^34*q^276+ 9606349256*p^32*q^278+1019404205*p^30*q^280+92910500*p^28*q^282+11600054*p^26*q ^284+236908*p^24*q^286+86732*p^22*q^288+212*p^20*q^290+24*p^49*q^260+179748*p^ 47*q^262+8354830*p^45*q^264+339141514*p^43*q^266+8130049566*p^41*q^268+ 65868913590*p^39*q^270+146719734619*p^37*q^272+105456205056*p^35*q^274+ 26805641882*p^33*q^276+3386140294*p^31*q^278+353420987*p^29*q^280+26497636*p^27 *q^282+3036704*p^25*q^284+27732*p^23*q^286+25344*p^21*q^288+8*p^19*q^290+78*p^ 50*q^258+8920*p^48*q^260+788640*p^46*q^262+47507161*p^44*q^264+1578580980*p^42* q^266+24798501688*p^40*q^268+108817617892*p^38*q^270+141878537506*p^36*q^272+ 61325285676*p^34*q^274+10577692209*p^32*q^276+1129786072*p^30*q^278+105064096*p ^28*q^280+12649070*p^26*q^282+388504*p^24*q^284+39594*p^22*q^286+1124*p^20*q^ 288+1308*p^49*q^258+122352*p^47*q^260+5570794*p^45*q^262+245908909*p^43*q^264+ 6312054506*p^41*q^266+57039456315*p^39*q^268+139279034752*p^37*q^270+ 107400352190*p^35*q^272+28988101500*p^33*q^274+3765036098*p^31*q^276+384810648* p^29*q^278+28925162*p^27*q^280+3676374*p^25*q^282+25240*p^23*q^284+33038*p^21*q ^286+12*p^19*q^288+1120*p^48*q^258+631598*p^46*q^260+34156804*p^44*q^262+ 1175685500*p^42*q^264+20233403270*p^40*q^266+98323634096*p^38*q^268+ 139419369928*p^36*q^270+64309970427*p^34*q^272+11667513440*p^32*q^274+ 1253204382*p^30*q^276+124302396*p^28*q^278+11688790*p^26*q^280+648608*p^24*q^ 282+7048*p^22*q^284+3876*p^20*q^286+1019*p^49*q^256+76980*p^47*q^258+3987172*p^ 45*q^260+181590090*p^43*q^262+4852909382*p^41*q^264+48933895222*p^39*q^266+ 130796228065*p^37*q^268+109106242692*p^35*q^270+31336417854*p^33*q^272+ 4192574014*p^31*q^274+424872892*p^29*q^276+31780076*p^27*q^278+4811968*p^25*q^ 280+48780*p^23*q^282+28376*p^21*q^284+20*p^19*q^286+4948*p^48*q^256+528666*p^46 *q^258+23855496*p^44*q^260+862268692*p^42*q^262+16190595685*p^40*q^264+ 88653418558*p^38*q^266+135794007406*p^36*q^268+67644372146*p^34*q^270+ 12814871598*p^32*q^272+1400728266*p^30*q^274+141658092*p^28*q^276+11146594*p^26 *q^278+864968*p^24*q^280+1906*p^22*q^282+6460*p^20*q^284+3*p^51*q^252+60*p^49*q ^254+21316*p^47*q^256+2530152*p^45*q^258+129684236*p^43*q^260+3693111706*p^41*q ^262+41585418794*p^39*q^264+122852286150*p^37*q^266+110177862672*p^35*q^268+ 33647179826*p^33*q^270+4649489505*p^31*q^272+461643438*p^29*q^274+37333942*p^27 *q^276+5178702*p^25*q^278+92368*p^23*q^280+5108*p^21*q^282+344*p^19*q^284+5690* p^48*q^254+402728*p^46*q^256+17344724*p^44*q^258+645151091*p^42*q^260+ 12960536458*p^40*q^262+78931947108*p^38*q^264+131892125098*p^36*q^266+ 70259659204*p^34*q^268+14081454814*p^32*q^270+1565797044*p^30*q^272+159232552*p ^28*q^274+10497948*p^26*q^276+1259908*p^24*q^278+4504*p^22*q^280+11920*p^20*q^ 282+60*p^49*q^252+23258*p^47*q^254+2063286*p^45*q^256+94433616*p^43*q^258+ 2779767586*p^41*q^260+34874582998*p^39*q^262+113828256417*p^37*q^264+ 111021243714*p^35*q^266+36182639851*p^33*q^268+5183338866*p^31*q^270+510892568* p^29*q^272+45779660*p^27*q^274+5333260*p^25*q^276+159492*p^23*q^278+140*p^21*q^ 280+550*p^19*q^282+48*p^50*q^250+1452*p^48*q^252+198116*p^46*q^254+11438645*p^ 44*q^256+466324122*p^42*q^258+10186257882*p^40*q^260+70036417906*p^38*q^262+ 127336754370*p^36*q^264+73171566170*p^34*q^266+15393502322*p^32*q^268+ 1744815368*p^30*q^270+174890350*p^28*q^272+10423852*p^26*q^274+1673740*p^24*q^ 276+7798*p^22*q^278+4126*p^20*q^280+12*p^18*q^282+22804*p^47*q^252+1599304*p^45 *q^254+67788222*p^43*q^256+2101364590*p^41*q^258+28964385784*p^39*q^260+ 105508370414*p^37*q^262+110671984031*p^35*q^264+38659576540*p^33*q^266+ 5729992652*p^31*q^268+565325976*p^29*q^270+53638851*p^27*q^272+4854816*p^25*q^ 274+226740*p^23*q^276+264*p^21*q^278+2692*p^19*q^280+866*p^48*q^250+121368*p^46 *q^252+8265084*p^44*q^254+343805341*p^42*q^256+7956943340*p^40*q^258+ 61304069369*p^38*q^260+122360407616*p^36*q^262+75596736134*p^34*q^264+ 16844814562*p^32*q^266+1963299712*p^30*q^268+191365172*p^28*q^270+12620880*p^26 *q^272+2072006*p^24*q^274+21440*p^22*q^276+8*p^20*q^278+14*p^18*q^280+321*p^49* q^248+11668*p^47*q^250+1106646*p^45*q^252+48140592*p^43*q^254+1565274396*p^41*q ^256+23841194298*p^39*q^258+96498269399*p^37*q^260+110379523644*p^35*q^262+ 41106268329*p^33*q^264+6359929032*p^31*q^266+625193576*p^29*q^268+62841150*p^27 *q^270+3939150*p^25*q^272+365792*p^23*q^274+400*p^21*q^276+2080*p^19*q^278+178* p^48*q^248+106512*p^46*q^250+6099496*p^44*q^252+250210162*p^42*q^254+6131221288 *p^40*q^256+53240700450*p^38*q^258+116633602955*p^36*q^260+78003618612*p^34*q^ 262+18394360944*p^32*q^264+2193792096*p^30*q^266+209880292*p^28*q^268+14948408* p^26*q^270+2323788*p^24*q^272+32206*p^22*q^274+8*p^20*q^276+280*p^18*q^278+78*p ^49*q^246+6616*p^47*q^248+635408*p^45*q^250+33478904*p^43*q^252+1156108630*p^41 *q^254+19355178736*p^39*q^256+88291715612*p^37*q^258+109069959528*p^35*q^260+ 43639030786*p^33*q^262+7014330588*p^31*q^264+701061124*p^29*q^266+70126160*p^27 *q^268+3788060*p^25*q^270+518068*p^23*q^272+1640*p^21*q^274+1172*p^48*q^246+ 56913*p^46*q^248+4561542*p^44*q^250+181618875*p^42*q^252+4735692580*p^40*q^254+ 45716663419*p^38*q^256+110736192380*p^36*q^258+79704768297*p^34*q^260+ 19999295892*p^32*q^262+2447923719*p^30*q^264+225404682*p^28*q^266+19055212*p^26 *q^268+1989828*p^24*q^270+53676*p^22*q^272+16*p^20*q^274+606*p^18*q^276+3482*p^ 47*q^246+529851*p^45*q^248+24337592*p^43*q^250+863001209*p^41*q^252+15532475582 *p^39*q^254+79470170721*p^37*q^256+107627310422*p^35*q^258+46111021946*p^33*q^ 260+7786960850*p^31*q^262+796129069*p^29*q^264+80403364*p^27*q^266+3718626*p^25 *q^268+809908*p^23*q^270+4132*p^21*q^272+8*p^17*q^276+1059*p^48*q^244+38480*p^ 46*q^246+3013326*p^44*q^248+129031302*p^42*q^250+3563111043*p^40*q^252+ 38902647836*p^38*q^254+104298370831*p^36*q^256+81439641318*p^34*q^258+ 21685820013*p^32*q^260+2719853760*p^30*q^262+244934144*p^28*q^264+22168004*p^26 *q^266+1802668*p^24*q^268+79348*p^22*q^270+48*p^20*q^272+2830*p^47*q^244+281584 *p^45*q^246+17207270*p^43*q^248+631147890*p^41*q^250+12380808018*p^39*q^252+ 71483488146*p^37*q^254+105188960738*p^35*q^256+48617957972*p^33*q^258+ 8569838032*p^31*q^260+894875700*p^29*q^262+86474816*p^27*q^264+4663074*p^25*q^ 266+820482*p^23*q^268+4992*p^21*q^270+94*p^17*q^274+60*p^48*q^242+27414*p^46*q^ 244+2282702*p^44*q^246+94233335*p^42*q^248+2715035140*p^40*q^250+32646358702*p^ 38*q^252+97786609566*p^36*q^254+82420612367*p^34*q^256+23395488890*p^32*q^258+ 3034183547*p^30*q^260+273687930*p^28*q^262+27419504*p^26*q^264+1315106*p^24*q^ 266+181316*p^22*q^268+368*p^20*q^270+6154*p^47*q^242+193366*p^45*q^244+12503620 *p^43*q^246+461879066*p^41*q^248+9717867668*p^39*q^250+63244439218*p^37*q^252+ 102609528460*p^35*q^254+50911674666*p^33*q^256+9516815736*p^31*q^258+1007606484 *p^29*q^260+91809830*p^27*q^262+5789994*p^25*q^264+902992*p^23*q^266+7896*p^21* q^268+60*p^48*q^240+11128*p^46*q^242+1476565*p^44*q^244+65820192*p^42*q^246+ 2023802471*p^40*q^248+27155192170*p^38*q^250+90846459082*p^36*q^252+83444896222 *p^34*q^254+25244223019*p^32*q^256+3357792100*p^30*q^258+307454498*p^28*q^260+ 32152110*p^26*q^262+1093160*p^24*q^264+231170*p^22*q^266+288*p^20*q^268+6*p^16* q^272+1476*p^47*q^240+139038*p^45*q^242+8870307*p^43*q^244+337114910*p^41*q^246 +7577643926*p^39*q^248+55794655338*p^37*q^250+99116647360*p^35*q^252+ 53147966244*p^33*q^254+10411509456*p^31*q^256+1128848876*p^29*q^258+96858432*p^ 27*q^260+7218820*p^25*q^262+769902*p^23*q^264+23792*p^21*q^266+12*p^19*q^268+ 21624*p^46*q^240+925488*p^44*q^242+47839124*p^42*q^244+1517071552*p^40*q^246+ 22279423949*p^38*q^248+84001151454*p^36*q^250+83549762768*p^34*q^252+ 27127421864*p^32*q^254+3762115877*p^30*q^256+351582392*p^28*q^258+35800792*p^26 *q^260+1327952*p^24*q^262+298048*p^22*q^264+588*p^20*q^266+858*p^47*q^238+75763 *p^45*q^240+6563918*p^43*q^242+243985221*p^41*q^244+5842157758*p^39*q^246+ 48404757819*p^37*q^248+95514636558*p^35*q^250+55188724699*p^33*q^252+ 11462491482*p^31*q^254+1256725016*p^29*q^256+104649894*p^27*q^258+9748294*p^25* q^260+460204*p^23*q^262+45732*p^21*q^264+12*p^19*q^266+12438*p^46*q^238+642124* p^44*q^240+33767658*p^42*q^242+1118136523*p^40*q^244+18105333628*p^38*q^246+ 76779079046*p^36*q^248+83736732730*p^34*q^250+28998776762*p^32*q^252+4185323020 *p^30*q^254+400660743*p^28*q^256+37869926*p^26*q^258+1453244*p^24*q^260+383802* p^22*q^262+1524*p^20*q^264+142*p^47*q^236+67650*p^45*q^238+4230959*p^43*q^240+ 174824750*p^41*q^242+4470192484*p^39*q^244+41746860074*p^37*q^246+91228088509*p ^35*q^248+57073249594*p^33*q^250+12534366132*p^31*q^252+1397475286*p^29*q^254+ 114838688*p^27*q^256+12080814*p^25*q^258+361392*p^23*q^260+56152*p^21*q^262+32* p^19*q^264+6220*p^46*q^236+395466*p^44*q^238+24896843*p^42*q^240+829608126*p^40 *q^242+14522998235*p^38*q^244+69924408086*p^36*q^246+82874551574*p^34*q^248+ 30963409476*p^32*q^250+4650819553*p^30*q^252+453460126*p^28*q^254+39674266*p^26 *q^256+2169672*p^24*q^258+279464*p^22*q^260+6348*p^20*q^262+24*p^47*q^234+60707 *p^45*q^236+3012294*p^43*q^238+126346609*p^41*q^240+3401914636*p^39*q^242+ 35421180558*p^37*q^244+86670049620*p^35*q^246+58722662364*p^33*q^248+ 13710973770*p^31*q^250+1569373447*p^29*q^252+132180604*p^27*q^254+14144034*p^25 *q^256+264902*p^23*q^258+118296*p^21*q^260+32*p^19*q^262+3022*p^46*q^234+283669 *p^44*q^236+17387652*p^42*q^238+603285294*p^40*q^240+11494982290*p^38*q^242+ 62747692822*p^36*q^244+82189765488*p^34*q^246+32846250518*p^32*q^248+5179745942 *p^30*q^250+507863862*p^28*q^252+40456772*p^26*q^254+3079430*p^24*q^256+190938* p^22*q^258+5764*p^20*q^260+42*p^47*q^232+31706*p^45*q^234+1766742*p^43*q^236+ 89676984*p^41*q^238+2553872391*p^39*q^240+29923388558*p^37*q^242+81700836888*p^ 35*q^244+60142395554*p^33*q^246+14909655825*p^31*q^248+1741651458*p^29*q^250+ 150733054*p^27*q^252+15419280*p^25*q^254+343026*p^23*q^256+123548*p^21*q^258+ 500*p^19*q^260+494*p^46*q^232+237844*p^44*q^234+12773810*p^42*q^236+444185030*p ^40*q^238+9075141379*p^38*q^240+55969716940*p^36*q^242+80388937991*p^34*q^244+ 34743544108*p^32*q^246+5740493960*p^30*q^248+570090784*p^28*q^250+43065830*p^26 *q^252+4213388*p^24*q^254+79412*p^22*q^256+20620*p^20*q^258+24878*p^45*q^232+ 1292982*p^43*q^234+65047741*p^41*q^236+1913213250*p^39*q^238+24683352706*p^37*q ^240+76605324094*p^35*q^242+61221678024*p^33*q^244+16251126922*p^31*q^246+ 1963422462*p^29*q^248+175686588*p^27*q^250+16667872*p^25*q^252+561484*p^23*q^ 254+112366*p^21*q^256+400*p^19*q^258+714*p^46*q^230+136524*p^44*q^232+8021964*p ^42*q^234+317133893*p^40*q^236+7024984600*p^38*q^238+49380301604*p^36*q^240+ 78723317382*p^34*q^242+36578706448*p^32*q^244+6355630706*p^30*q^246+630709946*p ^28*q^248+46814282*p^26*q^250+4966438*p^24*q^252+39428*p^22*q^254+33276*p^20*q^ 256+16*p^18*q^258+7430*p^45*q^230+957436*p^43*q^232+47381310*p^41*q^234+ 1427500771*p^39*q^236+20371841384*p^37*q^238+70962086598*p^35*q^240+62107193396 *p^33*q^242+17527192505*p^31*q^244+2187906912*p^29*q^246+199919038*p^27*q^248+ 16386326*p^25*q^250+914926*p^23*q^252+55488*p^21*q^254+1760*p^19*q^256+48*p^46* q^228+119560*p^44*q^230+5423967*p^42*q^232+230328018*p^40*q^234+5412531472*p^38 *q^236+43037027054*p^36*q^238+76148591994*p^34*q^240+38352624944*p^32*q^242+ 7036223296*p^30*q^244+709619872*p^28*q^246+54244842*p^26*q^248+6196294*p^24*q^ 250+74288*p^22*q^252+42180*p^20*q^254+24*p^18*q^256+6088*p^45*q^228+593792*p^43 *q^230+33613416*p^41*q^232+1052748806*p^39*q^234+16471911319*p^37*q^236+ 65507952814*p^35*q^238+62508684763*p^33*q^240+18970021202*p^31*q^242+2457247144 *p^29*q^244+224836918*p^27*q^246+16432886*p^25*q^248+1227220*p^23*q^250+7018*p^ 21*q^252+5380*p^19*q^254+63730*p^44*q^228+4000304*p^42*q^230+165498596*p^40*q^ 232+4133883862*p^38*q^234+37005382182*p^36*q^236+73538533080*p^34*q^238+ 39977054589*p^32*q^240+7761076750*p^30*q^242+789450954*p^28*q^244+64274816*p^26 *q^246+6702876*p^24*q^248+133698*p^22*q^250+37268*p^20*q^252+44*p^18*q^254+1700 *p^45*q^226+440092*p^43*q^228+22005730*p^41*q^230+768546890*p^39*q^232+ 13213637942*p^37*q^234+59713664411*p^35*q^236+62780109406*p^33*q^238+ 20366866247*p^31*q^240+2745399912*p^29*q^242+252455848*p^27*q^244+16438820*p^25 *q^246+1663570*p^23*q^248+7308*p^21*q^250+8496*p^19*q^252+37036*p^44*q^226+ 2587830*p^42*q^228+122213712*p^40*q^230+3141944413*p^38*q^232+31622358512*p^36* q^234+70135538069*p^34*q^236+41497327420*p^32*q^238+8513562026*p^30*q^240+ 883878614*p^28*q^242+74056152*p^26*q^244+6947764*p^24*q^246+232784*p^22*q^248+ 6256*p^20*q^250+504*p^18*q^252+138*p^45*q^224+338116*p^43*q^226+16123364*p^41*q ^228+560884570*p^39*q^230+10434657351*p^37*q^232+53924633500*p^35*q^234+ 62409647974*p^33*q^236+21872750428*p^31*q^238+3091648722*p^29*q^240+283830194*p ^27*q^242+18945942*p^25*q^244+2196576*p^23*q^246+12244*p^21*q^248+15504*p^19*q^ 250+36*p^46*q^222+20812*p^44*q^224+1711432*p^42*q^226+84524745*p^40*q^228+ 2348315832*p^38*q^230+26502970686*p^36*q^232+66881936684*p^34*q^234+42918411197 *p^32*q^236+9366322110*p^30*q^238+991166362*p^28*q^240+85615214*p^26*q^242+ 6409638*p^24*q^244+315360*p^22*q^246+472*p^20*q^248+784*p^18*q^250+102*p^45*q^ 222+190346*p^43*q^224+10678268*p^41*q^226+407992286*p^39*q^228+8212201790*p^37* q^230+48213833798*p^35*q^232+61900666338*p^33*q^234+23211867380*p^31*q^236+ 3427739406*p^29*q^238+312181276*p^27*q^240+21408852*p^25*q^242+2620332*p^23*q^ 244+31412*p^21*q^246+5296*p^19*q^248+20*p^17*q^250+3850*p^44*q^222+1345451*p^42 *q^224+60955684*p^40*q^226+1760577410*p^38*q^228+22043481104*p^36*q^230+ 62768983642*p^34*q^232+44118010258*p^32*q^234+10268138361*p^30*q^236+1126027238 *p^28*q^238+99325312*p^26*q^240+6263222*p^24*q^242+498370*p^22*q^244+746*p^20*q ^246+3540*p^18*q^248+528*p^45*q^220+139628*p^43*q^222+7274307*p^41*q^224+ 296431548*p^39*q^226+6344456722*p^37*q^228+42628563186*p^35*q^230+60811864546*p ^33*q^232+24732791616*p^31*q^234+3822428854*p^29*q^236+346072682*p^27*q^238+ 25620960*p^25*q^240+2838398*p^23*q^242+46882*p^21*q^244+16*p^19*q^246+24*p^17*q ^248+2279*p^44*q^220+848364*p^42*q^222+41740275*p^40*q^224+1290786020*p^38*q^ 226+18024075311*p^36*q^228+58836556558*p^34*q^230+45099818093*p^32*q^232+ 11211602304*p^30*q^234+1270750458*p^28*q^236+112056744*p^26*q^238+6271136*p^24* q^240+684752*p^22*q^242+2444*p^20*q^244+2696*p^18*q^246+12*p^45*q^218+49231*p^ 43*q^220+5068842*p^41*q^222+213895635*p^39*q^224+4899091854*p^37*q^226+ 37232628109*p^35*q^228+59581027392*p^33*q^230+26091735628*p^31*q^232+4243292310 *p^29*q^234+385888315*p^27*q^236+30564784*p^25*q^238+2611490*p^23*q^240+76112*p ^21*q^242+32*p^19*q^244+380*p^17*q^246+3360*p^44*q^218+646738*p^42*q^220+ 29123318*p^40*q^222+954001180*p^38*q^224+14621919036*p^36*q^226+54261915225*p^ 34*q^228+45849833960*p^32*q^230+12163022015*p^30*q^232+1433752898*p^28*q^234+ 123459164*p^26*q^236+6757362*p^24*q^238+993100*p^22*q^240+6006*p^20*q^242+24748 *p^43*q^218+3478438*p^41*q^220+152377352*p^39*q^222+3716510174*p^37*q^224+ 32105306852*p^35*q^226+57733661674*p^33*q^228+27550857226*p^31*q^230+4739266315 *p^29*q^232+438204382*p^27*q^234+37182310*p^25*q^236+2542708*p^23*q^238+113664* p^21*q^240+72*p^19*q^242+792*p^17*q^244+1122*p^44*q^216+361134*p^42*q^218+ 20007592*p^40*q^220+697425254*p^38*q^222+11660364612*p^36*q^224+49914003524*p^ 34*q^226+46319276294*p^32*q^228+13195987730*p^30*q^230+1601941604*p^28*q^232+ 134323708*p^26*q^234+7938228*p^24*q^236+1013920*p^22*q^238+7588*p^20*q^240+12*p ^16*q^244+16949*p^43*q^216+2466984*p^41*q^218+106549110*p^39*q^220+2800256810*p ^37*q^222+27340706403*p^35*q^224+55742931772*p^33*q^226+28794614140*p^31*q^228+ 5241604478*p^29*q^230+499591066*p^27*q^232+43360870*p^25*q^234+2079990*p^23*q^ 236+230864*p^21*q^238+540*p^19*q^240+60*p^44*q^214+177783*p^42*q^216+13630816*p ^40*q^218+510532894*p^38*q^220+9261689692*p^36*q^222+45130024461*p^34*q^224+ 46593542368*p^32*q^226+14227289282*p^30*q^228+1800782804*p^28*q^230+147701590*p ^26*q^232+9946868*p^24*q^234+1141374*p^22*q^236+12302*p^20*q^238+124*p^16*q^242 +12972*p^43*q^214+1771399*p^41*q^216+76554208*p^39*q^218+2092841940*p^37*q^220+ 22959349192*p^35*q^222+53150302882*p^33*q^224+30065788362*p^31*q^226+5800059457 *p^29*q^228+568781308*p^27*q^230+48525472*p^25*q^232+2023920*p^23*q^234+289968* p^21*q^236+488*p^19*q^238+12*p^44*q^212+106262*p^42*q^214+9325922*p^40*q^216+ 362879084*p^38*q^218+7202676857*p^36*q^220+40559005510*p^34*q^222+46529666883*p ^32*q^224+15349944238*p^30*q^226+2030151787*p^28*q^228+164976436*p^26*q^230+ 12960166*p^24*q^232+1001846*p^22*q^234+32128*p^20*q^236+20*p^18*q^238+4*p^45*q^ 210+2026*p^43*q^212+978990*p^41*q^214+51581884*p^39*q^216+1560335938*p^37*q^218 +19051633661*p^35*q^220+50572848220*p^33*q^222+31099564747*p^31*q^224+ 6377538892*p^29*q^226+635311349*p^27*q^228+52194146*p^25*q^230+2107596*p^23*q^ 232+369876*p^21*q^234+972*p^19*q^236+8*p^15*q^240+76370*p^42*q^212+6897752*p^40 *q^214+265878809*p^38*q^216+5592272178*p^36*q^218+35833948153*p^34*q^220+ 46118337948*p^32*q^222+16408329682*p^30*q^224+2274017742*p^28*q^226+190242847*p ^26*q^228+16058980*p^24*q^230+741240*p^22*q^232+59122*p^20*q^234+20*p^18*q^236+ 930*p^43*q^210+636132*p^41*q^212+35850144*p^39*q^214+1142783112*p^37*q^216+ 15572949272*p^35*q^218+47337397788*p^33*q^220+32196802406*p^31*q^222+7034265178 *p^29*q^224+728647330*p^27*q^226+56631212*p^25*q^228+2942036*p^23*q^230+469092* p^21*q^232+2244*p^19*q^234+60*p^44*q^208+30556*p^42*q^210+4370317*p^40*q^212+ 185160974*p^38*q^214+4262224444*p^36*q^216+31433900610*p^34*q^218+45465478251*p ^32*q^220+17520025712*p^30*q^222+2541772154*p^28*q^224+211534872*p^26*q^226+ 18218444*p^24*q^228+508296*p^22*q^230+72352*p^20*q^232+52*p^18*q^234+128*p^43*q ^208+376374*p^41*q^210+25282504*p^39*q^212+841296206*p^37*q^214+12605097435*p^ 35*q^216+44144018242*p^33*q^218+32909065339*p^31*q^220+7698791056*p^29*q^222+ 819919392*p^27*q^224+62933544*p^25*q^226+4157608*p^23*q^228+372560*p^21*q^230+ 8420*p^19*q^232+13148*p^42*q^208+2974718*p^40*q^210+130699146*p^38*q^212+ 3239460508*p^36*q^214+27025771726*p^34*q^216+44521860742*p^32*q^218+18580729856 *p^30*q^220+2845923236*p^28*q^222+244582870*p^26*q^224+20152238*p^24*q^226+ 502184*p^22*q^228+144952*p^20*q^230+56*p^18*q^232+402*p^43*q^206+229680*p^41*q^ 208+17246790*p^39*q^210+610634666*p^37*q^212+10043210494*p^35*q^214+40552900242 *p^33*q^216+33601066730*p^31*q^218+8424153362*p^29*q^220+929491484*p^27*q^222+ 68633450*p^25*q^224+5429506*p^23*q^226+253274*p^21*q^228+8132*p^19*q^230+3588*p ^42*q^206+1873242*p^40*q^208+91547944*p^38*q^210+2422930489*p^36*q^212+ 23058458436*p^34*q^214+43127526426*p^32*q^216+19705043864*p^30*q^218+3169163350 *p^28*q^220+278551276*p^26*q^222+22509433*p^24*q^224+778296*p^22*q^226+153884*p ^20*q^228+696*p^18*q^230+144*p^43*q^204+110426*p^41*q^206+11603621*p^39*q^208+ 436994128*p^37*q^210+7913142733*p^35*q^212+36999153990*p^33*q^214+34036366881*p ^31*q^216+9153243324*p^29*q^218+1047806278*p^27*q^220+77050928*p^25*q^222+ 6300700*p^23*q^224+101724*p^21*q^226+25970*p^19*q^228+1887*p^42*q^204+1177838*p ^40*q^206+63999357*p^38*q^208+1816277728*p^36*q^210+19344086515*p^34*q^212+ 41533587310*p^32*q^214+20624627615*p^30*q^216+3533496958*p^28*q^218+317925854*p ^26*q^220+23762134*p^24*q^222+1221492*p^22*q^224+143444*p^20*q^226+612*p^18*q^ 228+49608*p^41*q^204+8199220*p^39*q^206+313659651*p^37*q^208+6160149868*p^35*q^ 210+33095824898*p^33*q^212+34336967700*p^31*q^214+9963504145*p^29*q^216+ 1183716972*p^27*q^218+89082886*p^25*q^220+7802232*p^23*q^222+107966*p^21*q^224+ 41324*p^19*q^226+24*p^17*q^228+2406*p^42*q^202+685956*p^40*q^204+42944926*p^38* q^206+1327814113*p^36*q^208+16015705340*p^34*q^210+39637895806*p^32*q^212+ 21636255708*p^30*q^214+3924852160*p^28*q^216+363171294*p^26*q^218+24994472*p^24 *q^220+1563520*p^22*q^222+64524*p^20*q^224+2334*p^18*q^226+13902*p^41*q^202+ 5166110*p^39*q^204+222000178*p^37*q^206+4750184005*p^35*q^208+29515887922*p^33* q^210+34223034371*p^31*q^212+10750275068*p^29*q^214+1325250311*p^27*q^216+ 100685578*p^25*q^218+8628138*p^23*q^220+187448*p^21*q^222+52800*p^19*q^224+36*p ^17*q^226+102*p^42*q^200+383228*p^40*q^202+30763340*p^38*q^204+980953610*p^36*q ^206+13070003636*p^34*q^208+37390421570*p^32*q^210+22468990096*p^30*q^212+ 4352068424*p^28*q^214+414821469*p^26*q^216+27790764*p^24*q^218+2118304*p^22*q^ 220+15516*p^20*q^222+6856*p^18*q^224+19370*p^41*q^200+3375966*p^39*q^202+ 154643440*p^37*q^204+3605594398*p^35*q^206+25694667722*p^33*q^208+34100069214*p ^31*q^210+11568144110*p^29*q^212+1500999402*p^27*q^214+118545312*p^25*q^216+ 9168308*p^23*q^218+301410*p^21*q^220+45060*p^19*q^222+68*p^17*q^224+102*p^42*q^ 198+147507*p^40*q^200+20550228*p^38*q^202+705224392*p^36*q^204+10544906514*p^34 *q^206+34960120807*p^32*q^208+23288779416*p^30*q^210+4812821581*p^28*q^212+ 465742892*p^26*q^214+29991596*p^24*q^216+2705078*p^22*q^218+18204*p^20*q^220+ 10670*p^18*q^222+3918*p^41*q^198+2071924*p^39*q^200+107500096*p^37*q^202+ 2729069511*p^35*q^204+22249718806*p^33*q^206+33491624300*p^31*q^208+12374840776 *p^29*q^210+1682559231*p^27*q^212+136610156*p^25*q^214+9646522*p^23*q^216+ 415096*p^21*q^218+8026*p^19*q^220+664*p^17*q^222+24*p^42*q^196+112112*p^40*q^ 198+13990992*p^38*q^200+511937290*p^36*q^202+8364555478*p^34*q^204+32301115166* p^32*q^206+23901270756*p^30*q^208+5312904314*p^28*q^210+527232977*p^26*q^212+ 35170234*p^24*q^214+3199926*p^22*q^216+42076*p^20*q^218+19016*p^18*q^220+1568*p ^41*q^196+1104166*p^39*q^198+75113372*p^37*q^200+2027845756*p^35*q^202+ 18864184473*p^33*q^204+32792118160*p^31*q^206+13190325423*p^29*q^208+1897906240 *p^27*q^210+158458986*p^25*q^212+9621654*p^23*q^214+627585*p^21*q^216+1160*p^19 *q^218+1018*p^17*q^220+24*p^42*q^194+52256*p^40*q^196+9151248*p^38*q^198+ 359799627*p^36*q^200+6573273920*p^34*q^202+29417530125*p^32*q^204+24487419480*p ^30*q^206+5831739550*p^28*q^208+595362278*p^26*q^210+40850585*p^24*q^212+ 3668440*p^22*q^214+61960*p^20*q^216+6480*p^18*q^218+28*p^16*q^220+558*p^41*q^ 194+614664*p^39*q^196+51469344*p^37*q^198+1503302534*p^35*q^200+15856854114*p^ 33*q^202+31723458316*p^31*q^204+13994271300*p^29*q^206+2125887611*p^27*q^208+ 178568254*p^25*q^210+10124744*p^23*q^212+829574*p^21*q^214+3466*p^19*q^216+4388 *p^17*q^218+15198*p^40*q^194+5695288*p^38*q^196+255031430*p^36*q^198+5093489129 *p^34*q^200+26520927384*p^32*q^202+24757893181*p^30*q^204+6365226512*p^28*q^206 +677231744*p^26*q^208+49450332*p^24*q^210+3611032*p^22*q^212+101280*p^20*q^214+ 48*p^18*q^216+34*p^16*q^218+504*p^41*q^192+402138*p^39*q^194+35755320*p^37*q^ 196+1103478964*p^35*q^198+13047259736*p^33*q^200+30438536568*p^31*q^202+ 14775608958*p^29*q^204+2399386792*p^27*q^206+201706573*p^25*q^208+11116130*p^23 *q^210+1204020*p^21*q^212+7716*p^19*q^214+3312*p^17*q^216+9008*p^40*q^192+ 3299320*p^38*q^194+176441506*p^36*q^196+3882046138*p^34*q^198+23500108685*p^32* q^200+25060345748*p^30*q^202+6933634007*p^28*q^204+764916302*p^26*q^206+ 58552754*p^24*q^208+3592204*p^22*q^210+142270*p^20*q^212+108*p^18*q^214+480*p^ 16*q^216+84*p^41*q^190+136938*p^39*q^192+23286826*p^37*q^194+795650920*p^35*q^ 196+10683695148*p^33*q^198+28877980436*p^31*q^200+15489848396*p^29*q^202+ 2669340678*p^27*q^204+226603894*p^25*q^206+13018093*p^23*q^208+1286278*p^21*q^ 210+10822*p^19*q^212+4916*p^40*q^190+2196350*p^38*q^192+126150166*p^36*q^194+ 2958764843*p^34*q^196+20571296042*p^32*q^198+24932734171*p^30*q^200+7524005584* p^28*q^202+872540551*p^26*q^204+67257118*p^24*q^206+3352339*p^22*q^208+279282*p ^20*q^210+696*p^18*q^212+978*p^16*q^214+88124*p^39*q^190+15060134*p^37*q^192+ 565943876*p^35*q^194+8500696237*p^33*q^196+27086408522*p^31*q^198+16196603234*p ^29*q^200+2982198778*p^27*q^202+259326642*p^25*q^204+16837154*p^23*q^206+ 1443266*p^21*q^208+16324*p^19*q^210+16*p^15*q^214+1980*p^40*q^188+1036128*p^38* q^190+85024514*p^36*q^192+2212695550*p^34*q^194+17740720267*p^32*q^196+ 24878530140*p^30*q^198+8111756206*p^28*q^200+993314758*p^26*q^202+74540472*p^24 *q^204+3065420*p^22*q^206+356672*p^20*q^208+728*p^18*q^210+37545*p^39*q^188+ 9865528*p^37*q^190+405506574*p^35*q^192+6756099722*p^33*q^194+25030608849*p^31* q^196+16731453064*p^29*q^198+3299365348*p^27*q^200+290344176*p^25*q^202+ 20844832*p^23*q^204+1399660*p^21*q^206+39794*p^19*q^208+28*p^17*q^210+154*p^15* q^212+184*p^40*q^186+603034*p^38*q^188+57673492*p^36*q^190+1634123305*p^34*q^ 192+15072418832*p^32*q^194+24377866099*p^30*q^196+8766660876*p^28*q^198+ 1130912116*p^26*q^200+86103000*p^24*q^202+3881716*p^22*q^204+450200*p^20*q^206+ 1368*p^18*q^208+22204*p^39*q^186+5889367*p^37*q^188+286429410*p^35*q^190+ 5262289970*p^33*q^192+22900572218*p^31*q^194+17241883749*p^29*q^196+3642287448* p^27*q^198+334025888*p^25*q^200+23974580*p^23*q^202+983030*p^21*q^204+73104*p^ 19*q^206+28*p^17*q^208+90*p^40*q^184+292552*p^38*q^186+38831017*p^36*q^188+ 1188159566*p^34*q^190+12558365292*p^32*q^192+23801456342*p^30*q^194+9359337160* p^28*q^196+1282828666*p^26*q^198+95255695*p^24*q^200+5281640*p^22*q^202+589010* p^20*q^204+2920*p^18*q^206+10*p^14*q^210+12*p^41*q^182+6228*p^39*q^184+3323796* p^37*q^186+197186846*p^35*q^188+4073296796*p^33*q^190+20631164017*p^31*q^192+ 17678953982*p^29*q^194+4014543373*p^27*q^196+382987020*p^25*q^198+27684789*p^23 *q^200+828074*p^21*q^202+88506*p^19*q^204+72*p^17*q^206+157505*p^38*q^184+ 25628456*p^36*q^186+869850691*p^34*q^188+10338934018*p^32*q^190+22846469359*p^ 30*q^192+9929886984*p^28*q^194+1440325808*p^26*q^196+106439030*p^24*q^198+ 6855064*p^22*q^200+470972*p^20*q^202+10532*p^18*q^204+2048*p^39*q^182+1959284*p ^37*q^184+137293022*p^35*q^186+3071898454*p^33*q^188+18329271000*p^31*q^190+ 17921170537*p^29*q^192+4447319224*p^27*q^194+446419516*p^25*q^196+32188364*p^23 *q^198+1020646*p^21*q^200+175304*p^19*q^202+80*p^17*q^204+234*p^40*q^180+79550* p^38*q^182+15651706*p^36*q^184+615473516*p^34*q^186+8373145132*p^32*q^188+ 21812319772*p^30*q^190+10535349025*p^28*q^192+1607752286*p^26*q^194+120227651*p ^24*q^196+8047206*p^22*q^198+309128*p^20*q^200+10380*p^18*q^202+306*p^39*q^180+ 937824*p^37*q^182+93314255*p^35*q^184+2321404582*p^33*q^186+15992310199*p^31*q^ 188+18095084894*p^29*q^190+4827857313*p^27*q^192+512415144*p^25*q^194+34653966* p^23*q^196+1520992*p^21*q^198+190375*p^19*q^200+892*p^17*q^202+27172*p^38*q^180 +10099148*p^36*q^182+439993224*p^34*q^184+6695487204*p^32*q^186+20453614051*p^ 30*q^188+11050474638*p^28*q^190+1816135406*p^26*q^192+139329266*p^24*q^194+ 10233242*p^22*q^196+193052*p^20*q^198+31492*p^18*q^200+1974*p^39*q^178+600188*p ^37*q^180+62060044*p^35*q^182+1709556272*p^33*q^184+13738278066*p^31*q^186+ 18024223784*p^29*q^188+5298071646*p^27*q^190+584561090*p^25*q^192+38520072*p^23 *q^194+1972304*p^21*q^196+166724*p^19*q^198+824*p^17*q^200+8844*p^38*q^178+ 5268119*p^36*q^180+305936848*p^34*q^182+5246192424*p^32*q^184+19068481200*p^30* q^186+11576394740*p^28*q^188+2024590742*p^26*q^190+163859226*p^24*q^192+ 11419204*p^22*q^194+236124*p^20*q^196+50330*p^18*q^198+32*p^16*q^200+324*p^39*q ^176+259462*p^37*q^178+41569171*p^35*q^180+1257984134*p^33*q^182+11635593316*p^ 31*q^184+17824977824*p^29*q^186+5703474301*p^27*q^188+661540138*p^25*q^190+ 41480760*p^23*q^192+2649272*p^21*q^194+84640*p^19*q^196+2908*p^17*q^198+10314*p ^38*q^176+3301182*p^36*q^178+212333380*p^34*q^180+4074255866*p^32*q^182+ 17344562975*p^30*q^184+12025105356*p^28*q^186+2271090009*p^26*q^188+192752872*p ^24*q^190+13197332*p^22*q^192+383078*p^20*q^194+62468*p^18*q^196+48*p^16*q^198+ 12*p^39*q^174+109524*p^37*q^176+25425732*p^35*q^178+906679770*p^33*q^180+ 9670365724*p^31*q^182+17436706920*p^29*q^184+6176152454*p^27*q^186+751165039*p^ 25*q^188+47953594*p^23*q^190+3343796*p^21*q^192+28904*p^19*q^194+8364*p^17*q^ 196+6054*p^38*q^174+1809327*p^36*q^176+145648190*p^34*q^178+3101118163*p^32*q^ 180+15679674584*p^30*q^182+12385120661*p^28*q^184+2524132136*p^26*q^186+ 223296282*p^24*q^188+13598780*p^22*q^190+520602*p^20*q^192+53610*p^18*q^194+92* p^16*q^196+28*p^39*q^172+55462*p^37*q^174+15326280*p^35*q^176+646757146*p^33*q^ 178+7917192465*p^31*q^180+16885706734*p^29*q^182+6608978131*p^27*q^184+ 851093072*p^25*q^186+56063266*p^23*q^188+4179382*p^21*q^190+53180*p^19*q^192+ 12828*p^17*q^194+478*p^38*q^172+864856*p^36*q^174+98697659*p^34*q^176+ 2347032874*p^32*q^178+13846665190*p^30*q^180+12662343832*p^28*q^182+2793635253* p^26*q^184+255906116*p^24*q^186+14328326*p^22*q^188+759882*p^20*q^190+10156*p^ 18*q^192+824*p^16*q^194+51074*p^37*q^172+9591606*p^35*q^174+456918316*p^33*q^ 176+6359564098*p^31*q^178+16085850163*p^29*q^180+7070299732*p^27*q^182+ 971632331*p^25*q^184+68344278*p^23*q^186+4874560*p^21*q^188+80404*p^19*q^190+ 22528*p^17*q^192+654*p^38*q^170+411232*p^36*q^172+62452504*p^34*q^174+ 1727613398*p^32*q^176+12102431498*p^30*q^178+12843817022*p^28*q^180+3092982486* p^26*q^182+291008916*p^24*q^184+15491012*p^22*q^186+1020052*p^20*q^188+4382*p^ 18*q^190+1252*p^16*q^192+12*p^39*q^168+10352*p^37*q^170+5096656*p^35*q^172+ 320151728*p^33*q^174+5059099140*p^31*q^176+15198587460*p^29*q^178+7479088672*p^ 27*q^180+1089148016*p^25*q^182+80798706*p^23*q^184+4824848*p^21*q^186+123236*p^ 19*q^188+7696*p^17*q^190+36*p^15*q^192+72*p^38*q^168+293484*p^36*q^170+41247487 *p^34*q^172+1275993392*p^32*q^174+10309875420*p^30*q^176+12872197948*p^28*q^178 +3380793092*p^26*q^180+336318944*p^24*q^182+18067580*p^22*q^184+1524574*p^20*q^ 186+10098*p^18*q^188+5236*p^16*q^190+7394*p^37*q^168+2811158*p^35*q^170+ 217818034*p^33*q^172+3917213034*p^31*q^174+14080574713*p^29*q^176+7913287062*p^ 27*q^178+1248136895*p^25*q^180+93793030*p^23*q^182+5111278*p^21*q^184+173180*p^ 19*q^186+144*p^17*q^188+44*p^15*q^190+204*p^38*q^166+121070*p^36*q^168+24247570 *p^34*q^170+914641870*p^32*q^172+8731020086*p^30*q^174+12799561777*p^28*q^176+ 3704412050*p^26*q^178+378426841*p^24*q^180+22501202*p^22*q^182+1594674*p^20*q^ 184+13534*p^18*q^186+3928*p^16*q^188+2060*p^37*q^166+1562042*p^35*q^168+ 148923330*p^33*q^170+3019820401*p^31*q^172+12870727350*p^29*q^174+8243340189*p^ 27*q^176+1394974518*p^25*q^178+108810052*p^23*q^180+4704170*p^21*q^182+344534*p ^19*q^184+888*p^17*q^186+580*p^15*q^188+12*p^38*q^164+58738*p^36*q^166+14698903 *p^34*q^168+653328574*p^32*q^170+7176968181*p^30*q^172+12584767868*p^28*q^174+ 4028254826*p^26*q^176+438455508*p^24*q^178+27691248*p^22*q^180+1898990*p^20*q^ 182+20420*p^18*q^184+1716*p^37*q^164+891730*p^35*q^166+96312147*p^33*q^168+ 2278601066*p^31*q^170+11545478594*p^29*q^172+8569940774*p^27*q^174+1569039778*p ^25*q^176+124062506*p^23*q^178+5414302*p^21*q^180+430172*p^19*q^182+948*p^17*q^ 184+1164*p^15*q^186+27284*p^36*q^164+8237236*p^34*q^166+460036965*p^32*q^168+ 5834336490*p^30*q^170+12192460111*p^28*q^172+4371310014*p^26*q^174+503800318*p^ 24*q^176+32931888*p^22*q^178+1724092*p^20*q^180+48702*p^18*q^182+36*p^16*q^184+ 20*p^14*q^186+624*p^37*q^162+404660*p^35*q^164+60971894*p^33*q^166+1688663439*p ^31*q^168+10243609204*p^29*q^170+8806386277*p^27*q^172+1747234280*p^25*q^174+ 140970109*p^23*q^176+6880544*p^21*q^178+558820*p^19*q^180+1764*p^17*q^182+11722 *p^36*q^162+4902146*p^34*q^164+320404416*p^32*q^166+4668023513*p^30*q^168+ 11644875078*p^28*q^170+4682069796*p^26*q^172+577986804*p^24*q^174+38764402*p^22 *q^176+1422840*p^20*q^178+88208*p^18*q^180+36*p^16*q^182+184*p^14*q^184+24*p^37 *q^160+232386*p^35*q^162+38043601*p^33*q^164+1235039282*p^31*q^166+8809273809*p ^29*q^168+9003162328*p^27*q^170+1954279177*p^25*q^172+163713300*p^23*q^174+ 8897652*p^21*q^176+712882*p^19*q^178+3636*p^17*q^180+12*p^38*q^158+8944*p^36*q^ 160+2528280*p^34*q^162+212393252*p^32*q^164+3654502986*p^30*q^166+11014308188*p ^28*q^168+5020672148*p^26*q^170+660182389*p^24*q^172+44392026*p^22*q^174+ 1478618*p^20*q^176+107044*p^18*q^178+92*p^16*q^180+12*p^37*q^158+87306*p^35*q^ 160+22509532*p^33*q^162+898673742*p^31*q^164+7545686380*p^29*q^166+9041954035*p ^27*q^168+2153470104*p^25*q^170+187673918*p^23*q^172+10805122*p^21*q^174+555934 *p^19*q^176+12760*p^17*q^178+12*p^13*q^182+984*p^36*q^158+1469763*p^34*q^160+ 143230588*p^32*q^162+2808398978*p^30*q^164+10182728212*p^28*q^166+5317891963*p^ 26*q^168+755668228*p^24*q^170+51218850*p^22*q^172+1971448*p^20*q^174+211548*p^ 18*q^176+104*p^16*q^178+192*p^37*q^156+71002*p^35*q^158+13304154*p^33*q^160+ 632180128*p^31*q^162+6274651323*p^29*q^164+9049916718*p^27*q^166+2385319472*p^ 25*q^168+219650632*p^23*q^170+13280260*p^21*q^172+437788*p^19*q^174+12654*p^17* q^176+432*p^36*q^156+647756*p^34*q^158+89342856*p^32*q^160+2131093128*p^30*q^ 162+9278069289*p^28*q^164+5616331088*p^26*q^166+854250010*p^24*q^168+57268530*p ^22*q^170+2530958*p^20*q^172+217576*p^18*q^174+1088*p^16*q^176+19358*p^35*q^156 +7660614*p^33*q^158+444282931*p^31*q^160+5167735038*p^29*q^162+8896302842*p^27* q^164+2605411768*p^25*q^166+255766874*p^23*q^168+15681236*p^21*q^170+366122*p^ 19*q^172+37874*p^17*q^174+1332*p^36*q^154+414154*p^34*q^156+56788170*p^32*q^158 +1586747692*p^30*q^160+8289857200*p^28*q^162+5843095967*p^26*q^164+968910164*p^ 24*q^166+66339138*p^22*q^168+3347016*p^20*q^170+201340*p^18*q^172+1036*p^16*q^ 174+6368*p^35*q^154+4053128*p^33*q^156+300173560*p^31*q^158+4125263947*p^29*q^ 160+8668577110*p^27*q^162+2853852322*p^25*q^164+299025722*p^23*q^166+17977530*p ^21*q^168+484960*p^19*q^170+58362*p^17*q^172+40*p^15*q^174+324*p^36*q^152+ 203644*p^34*q^154+34346253*p^32*q^156+1161654626*p^30*q^158+7291216924*p^28*q^ 160+6055341054*p^26*q^162+1088068138*p^24*q^164+76501694*p^22*q^166+4296634*p^ 20*q^168+111174*p^18*q^170+3522*p^16*q^172+12*p^37*q^150+6564*p^35*q^152+ 2166724*p^33*q^154+199163631*p^31*q^156+3270706024*p^29*q^158+8251974039*p^27*q ^160+3095677304*p^25*q^162+343656307*p^23*q^164+19936254*p^21*q^166+648774*p^19 *q^168+72860*p^17*q^170+60*p^15*q^172+64706*p^34*q^152+20296184*p^32*q^154+ 838121733*p^30*q^156+6273770956*p^28*q^158+6204950585*p^26*q^160+1217430630*p^ 24*q^162+92089969*p^22*q^164+5386160*p^20*q^166+75290*p^18*q^168+9848*p^16*q^ 170+4560*p^35*q^150+1370521*p^33*q^152+129977768*p^31*q^154+2518213793*p^29*q^ 156+7769893626*p^27*q^158+3321340121*p^25*q^160+399898888*p^23*q^162+22007976*p ^21*q^164+948000*p^19*q^166+62542*p^17*q^168+116*p^15*q^170+180*p^36*q^148+ 39972*p^34*q^150+10865042*p^32*q^152+583633870*p^30*q^154+5281569179*p^28*q^156 +6306295234*p^26*q^158+1372706699*p^24*q^160+108128232*p^22*q^162+6273468*p^20* q^164+97712*p^18*q^166+14986*p^16*q^168+336*p^35*q^148+530706*p^33*q^150+ 82133284*p^31*q^152+1929175970*p^29*q^154+7186623765*p^27*q^156+3547131428*p^25 *q^158+449057698*p^23*q^160+25252792*p^21*q^162+1284568*p^19*q^164+15994*p^17*q ^166+984*p^15*q^168+29940*p^34*q^148+6904628*p^32*q^150+406244271*p^30*q^152+ 4365299850*p^28*q^154+6257589933*p^26*q^156+1521202376*p^24*q^158+130554106*p^ 22*q^160+6826722*p^20*q^162+154850*p^18*q^164+26080*p^16*q^166+1320*p^35*q^146+ 289286*p^33*q^148+48475440*p^31*q^150+1421350305*p^29*q^152+6507293208*p^27*q^ 154+3784148435*p^25*q^156+522038138*p^23*q^158+30200104*p^21*q^160+1817172*p^19 *q^162+11934*p^17*q^164+1486*p^15*q^166+8724*p^34*q^146+3433742*p^32*q^148+ 272146840*p^30*q^150+3542101862*p^28*q^152+6210289636*p^26*q^154+1675974972*p^ 24*q^156+148692860*p^22*q^158+7201044*p^20*q^160+217350*p^18*q^162+9032*p^16*q^ 164+44*p^14*q^166+264*p^35*q^144+156570*p^33*q^146+29526283*p^31*q^148+ 1045075752*p^29*q^150+5769910334*p^27*q^152+3952376988*p^25*q^154+592497937*p^ 23*q^156+37249066*p^21*q^158+2084582*p^19*q^160+17450*p^17*q^162+6084*p^15*q^ 164+6936*p^34*q^144+1821670*p^32*q^146+177876467*p^30*q^148+2807379256*p^28*q^ 150+5999502079*p^26*q^152+1854531592*p^24*q^154+175252013*p^22*q^156+7854200*p^ 20*q^158+402818*p^18*q^160+1052*p^16*q^162+54*p^14*q^164+84719*p^33*q^144+ 17274798*p^31*q^146+742622407*p^29*q^148+5027234484*p^27*q^150+4117981361*p^25* q^152+672786016*p^23*q^154+44661076*p^21*q^156+2360602*p^19*q^158+25852*p^17*q^ 160+4544*p^15*q^162+4*p^36*q^140+3634*p^34*q^142+912716*p^32*q^144+111127148*p^ 30*q^146+2174689235*p^28*q^148+5742348084*p^26*q^150+2023622617*p^24*q^152+ 203974756*p^22*q^154+9310026*p^20*q^156+526824*p^18*q^158+1236*p^16*q^160+680*p ^14*q^162+38586*p^33*q^142+9435798*p^31*q^144+521785690*p^29*q^146+4286210331*p ^27*q^148+4232224976*p^25*q^150+761547264*p^23*q^152+52352588*p^21*q^154+ 2372170*p^19*q^156+57448*p^17*q^158+44*p^15*q^160+192*p^34*q^140+514706*p^32*q^ 142+69897847*p^30*q^144+1659052316*p^28*q^146+5341790231*p^26*q^148+2191698044* p^24*q^150+233775714*p^22*q^152+11805940*p^20*q^154+679256*p^18*q^156+2226*p^16 *q^158+1350*p^14*q^160+60*p^35*q^138+26110*p^33*q^140+5238758*p^31*q^142+ 351834477*p^29*q^144+3560950452*p^27*q^146+4303287074*p^25*q^148+865969046*p^23 *q^150+64629966*p^21*q^152+2316444*p^19*q^154+103812*p^17*q^156+44*p^15*q^158+ 24*p^13*q^160+294*p^34*q^138+255658*p^32*q^140+40751654*p^30*q^142+1227287090*p ^28*q^144+4937664532*p^26*q^146+2354871684*p^24*q^148+270236210*p^22*q^150+ 13724167*p^20*q^152+837840*p^18*q^154+4380*p^16*q^156+5080*p^33*q^138+2652425*p ^31*q^140+233434322*p^29*q^142+2917160432*p^27*q^144+4291148714*p^25*q^146+ 968821967*p^23*q^148+73318366*p^21*q^150+2745128*p^19*q^152+131956*p^17*q^154+ 112*p^15*q^156+214*p^13*q^158+376*p^34*q^136+145468*p^32*q^138+24809015*p^30*q^ 140+896761838*p^28*q^142+4401085637*p^26*q^144+2515923556*p^24*q^146+312631757* p^22*q^148+18248260*p^20*q^150+746054*p^18*q^152+14902*p^16*q^154+4428*p^33*q^ 136+1536700*p^31*q^138+147131003*p^29*q^140+2309562566*p^27*q^142+4231262489*p^ 25*q^144+1082551530*p^23*q^146+86768158*p^21*q^148+3144910*p^19*q^150+239172*p^ 17*q^152+128*p^15*q^154+88*p^34*q^134+53960*p^32*q^136+12934752*p^30*q^138+ 634156088*p^28*q^140+3900425590*p^26*q^142+2656472686*p^24*q^144+363360308*p^22 *q^146+21467500*p^20*q^148+695678*p^18*q^150+15840*p^16*q^152+14*p^12*q^156+ 1624*p^33*q^134+781080*p^31*q^136+94042532*p^29*q^138+1800854847*p^27*q^140+ 4084193388*p^25*q^142+1191493331*p^23*q^144+98553322*p^21*q^146+4243156*p^19*q^ 148+260440*p^17*q^150+1284*p^15*q^152+33246*p^32*q^134+7625733*p^30*q^136+ 434750414*p^28*q^138+3338499451*p^26*q^140+2767788902*p^24*q^142+421595889*p^22 *q^144+26135410*p^20*q^146+664988*p^18*q^148+43178*p^16*q^150+1076*p^33*q^132+ 379142*p^31*q^134+55269026*p^29*q^136+1370269982*p^27*q^138+3860339145*p^25*q^ 140+1321075124*p^23*q^142+116444430*p^21*q^144+5585510*p^19*q^146+250870*p^17*q ^148+1296*p^15*q^150+13360*p^32*q^132+4083002*p^30*q^134+290433495*p^28*q^136+ 2805694798*p^26*q^138+2862760349*p^24*q^140+477372422*p^22*q^142+29741540*p^20* q^144+780708*p^18*q^146+67416*p^16*q^148+48*p^14*q^150+124*p^33*q^130+189128*p^ 31*q^132+32158072*p^29*q^134+1015854301*p^27*q^136+3606472542*p^25*q^138+ 1428654545*p^23*q^140+139579530*p^21*q^142+7102889*p^19*q^144+176840*p^17*q^146 +4104*p^15*q^148+5814*p^32*q^130+2122428*p^30*q^132+190504192*p^28*q^134+ 2291586631*p^26*q^136+2884145936*p^24*q^138+545976302*p^22*q^140+33387728*p^20* q^142+1181314*p^18*q^144+84598*p^16*q^146+72*p^14*q^148+68*p^33*q^128+115434*p^ 31*q^130+18925896*p^29*q^132+726963962*p^27*q^134+3263979895*p^25*q^136+ 1563837478*p^23*q^138+164730812*p^21*q^140+8972182*p^19*q^142+123289*p^17*q^144 +11332*p^15*q^146+2584*p^32*q^128+1033352*p^30*q^130+115830319*p^28*q^132+ 1838061874*p^26*q^134+2885208107*p^24*q^136+613514538*p^22*q^138+40051658*p^20* q^140+1558670*p^18*q^142+76296*p^16*q^144+140*p^14*q^146+30468*p^31*q^128+ 10169558*p^29*q^130+515762435*p^27*q^132+2908620976*p^25*q^134+1666299964*p^23* q^136+192179448*p^21*q^138+9460940*p^19*q^140+187168*p^17*q^142+17244*p^15*q^ 144+976*p^32*q^126+669636*p^30*q^128+72961302*p^28*q^130+1422873068*p^26*q^132+ 2815775504*p^24*q^134+688095522*p^22*q^136+48757430*p^20*q^138+2434936*p^18*q^ 140+25594*p^16*q^142+1144*p^14*q^144+21842*p^31*q^126+5383300*p^29*q^128+ 342395286*p^27*q^130+2506790249*p^25*q^132+1774146724*p^23*q^134+227001454*p^21 *q^136+11059100*p^19*q^138+253700*p^17*q^140+29820*p^15*q^142+82*p^32*q^124+ 240204*p^30*q^126+41977536*p^28*q^128+1087042596*p^26*q^130+2718488918*p^24*q^ 132+770030846*p^22*q^134+57854496*p^20*q^136+2651368*p^18*q^138+20540*p^16*q^ 140+1720*p^14*q^142+8430*p^31*q^124+3064232*p^29*q^126+227912345*p^27*q^128+ 2120112214*p^25*q^130+1832233955*p^23*q^132+258039940*p^21*q^134+12807967*p^19* q^136+504504*p^17*q^138+11246*p^15*q^140+52*p^13*q^142+125994*p^30*q^124+ 24103182*p^28*q^126+793519224*p^26*q^128+2549507182*p^24*q^130+861829685*p^22*q ^132+71735806*p^20*q^134+3201540*p^18*q^136+30330*p^16*q^138+6932*p^14*q^140+ 2520*p^31*q^122+1593248*p^29*q^124+143627274*p^27*q^126+1740249177*p^25*q^128+ 1892047120*p^23*q^130+295655417*p^21*q^132+15120540*p^19*q^134+653744*p^17*q^ 136+1432*p^15*q^138+64*p^13*q^140+30*p^32*q^120+60960*p^30*q^122+13126456*p^28* q^124+564909438*p^26*q^126+2336128043*p^24*q^128+946208924*p^22*q^130+85793156* p^20*q^132+3514812*p^18*q^134+68448*p^16*q^136+5212*p^14*q^138+228*p^31*q^120+ 695492*p^29*q^122+88302402*p^27*q^124+1399929042*p^25*q^126+1916312353*p^23*q^ 128+339241232*p^21*q^130+18780079*p^19*q^132+822046*p^17*q^134+2650*p^15*q^136+ 780*p^13*q^138+24597*p^30*q^120+7674386*p^28*q^122+390372928*p^26*q^124+ 2086402074*p^24*q^126+1015168281*p^22*q^128+99742262*p^20*q^130+3744078*p^18*q^ 132+128640*p^16*q^134+52*p^14*q^136+468*p^31*q^118+378934*p^29*q^120+51590390*p ^27*q^122+1076553064*p^25*q^124+1903243910*p^23*q^126+397229368*p^21*q^128+ 24511988*p^19*q^130+1093190*p^17*q^132+5088*p^15*q^134+1536*p^13*q^136+6642*p^ 30*q^118+3712634*p^28*q^120+258214684*p^26*q^122+1824730603*p^24*q^124+ 1099159660*p^22*q^126+113958856*p^20*q^128+4237068*p^18*q^130+150128*p^16*q^132 +132*p^14*q^134+28*p^12*q^136+153818*p^29*q^118+30085360*p^27*q^120+817811040*p ^25*q^122+1840483170*p^23*q^124+442532528*p^21*q^126+29998212*p^19*q^128+ 1040494*p^17*q^130+18238*p^15*q^132+3618*p^30*q^116+2037556*p^28*q^118+ 167219387*p^26*q^120+1539930896*p^24*q^122+1159106795*p^22*q^124+137330314*p^20 *q^126+5660688*p^18*q^128+291520*p^16*q^130+152*p^14*q^132+244*p^12*q^134+75152 *p^29*q^116+16750434*p^27*q^118+585721317*p^25*q^120+1752393232*p^23*q^122+ 501605870*p^21*q^124+35246986*p^19*q^126+1029082*p^17*q^128+17900*p^15*q^130+ 732*p^30*q^114+864241*p^28*q^116+101153100*p^26*q^118+1276593425*p^24*q^120+ 1213629964*p^22*q^122+160474106*p^20*q^124+7536228*p^18*q^126+315840*p^16*q^128 +1536*p^14*q^130+24978*p^29*q^114+9285240*p^27*q^116+418294540*p^25*q^118+ 1611728614*p^23*q^120+554073032*p^21*q^122+41144533*p^19*q^124+1082844*p^17*q^ 126+50863*p^15*q^128+16*p^11*q^132+48*p^30*q^112+476238*p^28*q^114+61473540*p^ 26*q^116+1007873284*p^24*q^118+1240083977*p^22*q^120+188508644*p^20*q^122+ 9881044*p^18*q^124+326274*p^16*q^126+1516*p^14*q^128+10698*p^29*q^112+4564030*p ^27*q^114+277842817*p^25*q^116+1460902480*p^23*q^118+614284657*p^21*q^120+ 49654098*p^19*q^122+1491376*p^17*q^124+77980*p^15*q^126+56*p^13*q^128+60*p^30*q ^110+192742*p^28*q^112+35491812*p^26*q^114+780531822*p^24*q^116+1244637404*p^22 *q^118+217810329*p^20*q^120+11572124*p^18*q^122+244176*p^16*q^124+4768*p^14*q^ 126+1256*p^29*q^110+2281867*p^27*q^112+181133706*p^25*q^114+1275663987*p^23*q^ 116+668050084*p^21*q^118+59291124*p^19*q^120+2185752*p^17*q^122+99368*p^15*q^ 124+84*p^13*q^126+79966*p^28*q^110+20102960*p^26*q^112+582545464*p^24*q^114+ 1213867457*p^22*q^116+250315936*p^20*q^118+13852672*p^18*q^120+232952*p^16*q^ 122+12952*p^14*q^124+1344*p^29*q^108+1220512*p^27*q^110+112486382*p^25*q^112+ 1075570644*p^23*q^114+719901967*p^21*q^116+71867210*p^19*q^118+3032270*p^17*q^ 120+93072*p^15*q^122+164*p^13*q^124+22384*p^28*q^108+9937094*p^26*q^110+ 413395558*p^24*q^112+1175811444*p^22*q^114+286338002*p^20*q^116+16472756*p^18*q ^118+342842*p^16*q^120+19576*p^14*q^122+24*p^29*q^106+475312*p^27*q^108+ 69530364*p^25*q^110+889911164*p^23*q^112+753267988*p^21*q^114+84384954*p^19*q^ 116+3543390*p^17*q^118+36842*p^15*q^120+1304*p^13*q^122+12950*p^28*q^106+ 5761926*p^26*q^108+283149464*p^24*q^110+1078602830*p^22*q^112+324026670*p^20*q^ 114+20324557*p^18*q^116+639560*p^16*q^118+34404*p^14*q^120+10*p^29*q^104+208762 *p^27*q^106+38417351*p^25*q^108+701772494*p^23*q^110+788569003*p^21*q^112+ 102585616*p^19*q^114+4388448*p^17*q^116+38172*p^15*q^118+1954*p^13*q^120+2052*p ^28*q^104+2577894*p^26*q^106+187685099*p^24*q^108+983861078*p^22*q^110+ 361159572*p^20*q^112+23728896*p^18*q^114+791506*p^16*q^116+12842*p^14*q^118+60* p^12*q^120+20*p^29*q^102+86034*p^27*q^104+21997430*p^25*q^106+534591171*p^23*q^ 108+794676188*p^21*q^110+118765648*p^19*q^112+5343658*p^17*q^114+90642*p^15*q^ 116+7840*p^13*q^118+212*p^28*q^102+1249126*p^26*q^104+118515236*p^24*q^106+ 856726207*p^22*q^108+399588402*p^20*q^110+30635484*p^18*q^112+1053772*p^16*q^ 114+3132*p^14*q^116+74*p^12*q^118+32862*p^27*q^102+11683738*p^25*q^104+ 387680312*p^23*q^106+785949964*p^21*q^108+139731058*p^19*q^110+5981110*p^17*q^ 112+147558*p^15*q^114+5836*p^13*q^116+336*p^28*q^100+526718*p^26*q^102+70441786 *p^24*q^104+729880360*p^22*q^106+436252478*p^20*q^108+37060232*p^18*q^110+ 1414806*p^16*q^112+7126*p^14*q^114+880*p^12*q^116+4172*p^27*q^100+5775336*p^25* q^102+274572614*p^23*q^104+755675126*p^21*q^106+160429466*p^19*q^108+7378778*p^ 17*q^110+187676*p^15*q^112+152*p^13*q^114+251536*p^26*q^100+41928218*p^24*q^102 +587918580*p^22*q^104+464535782*p^20*q^106+45091570*p^18*q^108+1556456*p^16*q^ 110+20960*p^14*q^112+1722*p^12*q^114+3492*p^27*q^98+2839696*p^25*q^100+ 179862468*p^23*q^102+706233086*p^21*q^104+186122390*p^19*q^106+9814188*p^17*q^ 108+337228*p^15*q^110+240*p^13*q^112+32*p^11*q^114+30*p^28*q^96+62618*p^26*q^98 +22223408*p^24*q^100+463872184*p^22*q^102+488543136*p^20*q^104+53807234*p^18*q^ 106+1612836*p^16*q^108+21968*p^14*q^110+392*p^27*q^96+1318428*p^25*q^98+ 117011782*p^23*q^100+639696868*p^21*q^102+208568289*p^19*q^104+12170122*p^17*q^ 106+414656*p^15*q^108+1796*p^13*q^110+274*p^11*q^112+28338*p^26*q^96+12219672*p ^24*q^98+342452914*p^22*q^100+494845192*p^20*q^102+64767659*p^18*q^104+2118860* p^16*q^106+57084*p^14*q^108+420*p^27*q^94+539762*p^25*q^96+69318930*p^23*q^98+ 556835064*p^21*q^100+238555268*p^19*q^102+15618592*p^17*q^104+427866*p^15*q^106 +1790*p^13*q^108+7096*p^26*q^94+5801453*p^24*q^96+245934844*p^22*q^98+494988028 *p^20*q^100+75181122*p^18*q^102+2659256*p^16*q^104+92078*p^14*q^106+64*p^12*q^ 108+18*p^10*q^110+195946*p^25*q^94+41172790*p^23*q^96+467412316*p^21*q^98+ 259220736*p^19*q^100+19084352*p^17*q^102+419790*p^15*q^104+5384*p^13*q^106+2900 *p^26*q^92+2918204*p^24*q^94+165102234*p^22*q^96+476408288*p^20*q^98+89764151*p ^18*q^100+3841510*p^16*q^102+120384*p^14*q^104+96*p^12*q^106+73848*p^25*q^92+ 21880838*p^23*q^94+373347607*p^21*q^96+281404994*p^19*q^98+23350241*p^17*q^100+ 458572*p^15*q^102+14574*p^13*q^104+868*p^26*q^90+1185494*p^24*q^92+106641986*p^ 22*q^94+446826198*p^20*q^96+105622728*p^18*q^98+4806776*p^16*q^100+115756*p^14* q^102+188*p^12*q^104+5*p^27*q^88+18736*p^25*q^90+11540830*p^23*q^92+285982638*p ^21*q^94+295058128*p^19*q^96+27314290*p^17*q^98+738574*p^15*q^100+23032*p^13*q^ 102+513338*p^24*q^90+65694302*p^22*q^92+400858554*p^20*q^94+121543351*p^18*q^96 +6403386*p^16*q^98+71610*p^14*q^100+1464*p^12*q^102+11814*p^25*q^88+5679782*p^ 23*q^90+204290656*p^21*q^92+304173028*p^19*q^94+34366140*p^17*q^96+1016908*p^15 *q^98+38450*p^13*q^100+70*p^26*q^86+146185*p^24*q^88+36448106*p^22*q^90+ 348611831*p^20*q^92+138711322*p^18*q^94+7479205*p^16*q^96+98684*p^14*q^98+2256* p^12*q^100+476*p^25*q^86+2607972*p^23*q^88+144948426*p^21*q^90+301878571*p^19*q ^92+40958590*p^17*q^94+1440829*p^15*q^96+17636*p^13*q^98+68*p^11*q^100+80482*p^ 24*q^86+20529634*p^22*q^88+280058068*p^20*q^90+152780966*p^18*q^92+9267244*p^16 *q^94+177714*p^14*q^96+8696*p^12*q^98+650*p^25*q^84+1006402*p^23*q^86+90680133* p^21*q^88+297478798*p^19*q^90+51070612*p^17*q^92+1970712*p^15*q^94+7880*p^13*q^ 96+84*p^11*q^98+15814*p^24*q^84+10341932*p^22*q^86+223879234*p^20*q^88+ 164798058*p^18*q^90+11138236*p^16*q^92+233964*p^14*q^94+6660*p^12*q^96+110*p^25 *q^82+418178*p^23*q^84+56134720*p^21*q^86+270055289*p^19*q^88+60018726*p^17*q^ 90+2273272*p^15*q^92+23800*p^13*q^94+980*p^11*q^96+4832*p^24*q^82+4941492*p^22* q^84+164336068*p^20*q^86+177892099*p^18*q^88+14682594*p^16*q^90+444916*p^14*q^ 92+294*p^12*q^94+163316*p^23*q^82+31884410*p^21*q^84+239923190*p^19*q^86+ 68786027*p^17*q^88+2672748*p^15*q^90+25652*p^13*q^92+1908*p^11*q^94+1755*p^24*q ^80+2014278*p^22*q^82+113719370*p^20*q^84+185149040*p^18*q^86+19020368*p^16*q^ 88+543096*p^14*q^90+1964*p^12*q^92+36*p^10*q^94+35171*p^23*q^80+17415148*p^21*q ^82+204554936*p^19*q^84+77903938*p^17*q^86+3261622*p^15*q^88+69774*p^13*q^90+40 *p^24*q^78+955352*p^22*q^80+73977376*p^20*q^82+180266056*p^18*q^84+23129678*p^ 16*q^86+654852*p^14*q^88+2046*p^12*q^90+304*p^10*q^92+17228*p^23*q^78+8287675*p ^21*q^80+162154470*p^19*q^82+90768271*p^17*q^84+4809718*p^15*q^86+113677*p^13*q ^88+72*p^11*q^90+60*p^24*q^76+267208*p^22*q^78+45056324*p^20*q^80+174942182*p^ 18*q^82+27134047*p^16*q^84+617432*p^14*q^86+6178*p^12*q^88+1700*p^23*q^76+ 4010130*p^21*q^78+122803613*p^19*q^80+97855262*p^17*q^82+6254789*p^15*q^84+ 155848*p^13*q^86+108*p^11*q^88+20*p^9*q^90+118448*p^22*q^76+25601648*p^20*q^78+ 157235864*p^18*q^80+33050392*p^16*q^82+941178*p^14*q^84+17478*p^12*q^86+930*p^ 23*q^74+1575594*p^21*q^76+84577624*p^19*q^78+105671371*p^17*q^80+8040498*p^15*q ^82+148340*p^13*q^84+212*p^11*q^86+24708*p^22*q^74+13264642*p^20*q^76+139445588 *p^18*q^78+38997516*p^16*q^80+1311756*p^14*q^82+27040*p^12*q^84+60*p^23*q^72+ 625194*p^21*q^74+56278124*p^19*q^76+105897552*p^17*q^78+9766801*p^15*q^80+ 140216*p^13*q^82+1700*p^11*q^84+7525*p^22*q^72+6478934*p^20*q^74+110846259*p^18 *q^76+46709156*p^16*q^78+1935140*p^14*q^80+44818*p^12*q^82+211694*p^21*q^72+ 33393590*p^19*q^74+106408700*p^17*q^76+11927588*p^15*q^78+215302*p^13*q^80+2562 *p^11*q^82+1900*p^22*q^70+2707007*p^20*q^72+85436352*p^18*q^74+51842016*p^16*q^ 76+2555714*p^14*q^78+23012*p^12*q^80+76*p^10*q^82+50080*p^21*q^70+18921679*p^19 *q^72+99475618*p^17*q^74+15231772*p^15*q^76+328160*p^13*q^78+9730*p^11*q^80+ 1178560*p^20*q^70+59980645*p^18*q^72+56467260*p^16*q^74+3084010*p^14*q^76+27474 *p^12*q^78+94*p^10*q^80+21300*p^21*q^68+9212276*p^19*q^70+87207802*p^17*q^72+ 19293204*p^15*q^74+573002*p^13*q^76+7292*p^11*q^78+60*p^22*q^66+318473*p^20*q^ 68+39135672*p^18*q^70+61398615*p^16*q^72+3814758*p^14*q^74+34980*p^12*q^76+1080 *p^10*q^78+1300*p^21*q^66+4561530*p^19*q^68+73132052*p^17*q^70+21894754*p^15*q^ 72+713178*p^13*q^74+2254*p^11*q^76+136692*p^20*q^66+22865740*p^18*q^68+60466860 *p^16*q^70+5500912*p^14*q^72+93278*p^12*q^74+2094*p^10*q^76+930*p^21*q^64+ 1653794*p^19*q^66+55815892*p^17*q^68+27119786*p^15*q^70+855124*p^13*q^72+2432*p ^11*q^74+40*p^9*q^76+25045*p^20*q^64+12692644*p^18*q^66+59132274*p^16*q^68+ 6495160*p^14*q^70+138096*p^12*q^72+80*p^10*q^74+638483*p^19*q^64+39177218*p^17* q^66+29553964*p^15*q^68+1210504*p^13*q^70+8863*p^11*q^72+334*p^9*q^74+7070*p^20 *q^62+6071080*p^18*q^64+53340790*p^16*q^66+8828363*p^14*q^68+186638*p^12*q^70+ 120*p^10*q^72+6*p^21*q^60+208170*p^19*q^62+24956848*p^17*q^64+32540700*p^15*q^ 66+1533491*p^13*q^68+19984*p^11*q^70+1110*p^20*q^60+2432300*p^18*q^62+44883699* p^16*q^64+10873446*p^14*q^66+239008*p^12*q^68+346*p^10*q^70+22*p^8*q^72+44820*p ^19*q^60+15003148*p^17*q^62+33851042*p^15*q^64+2099812*p^13*q^66+31174*p^11*q^ 68+78*p^20*q^58+1023149*p^18*q^60+33602480*p^16*q^62+12763217*p^14*q^64+295730* p^12*q^66+1892*p^10*q^68+15440*p^19*q^58+7184170*p^17*q^60+34015522*p^15*q^62+ 3145748*p^13*q^64+53676*p^11*q^66+267502*p^18*q^58+24333258*p^16*q^60+14929950* p^14*q^62+357657*p^12*q^64+2890*p^10*q^66+771*p^19*q^56+3447004*p^17*q^58+ 30359377*p^15*q^60+3784910*p^13*q^62+50858*p^11*q^64+84*p^9*q^66+101656*p^18*q^ 56+14758236*p^16*q^58+17040072*p^14*q^60+693224*p^12*q^62+10660*p^10*q^64+234*p ^19*q^54+1220489*p^17*q^56+25748510*p^15*q^58+4936240*p^13*q^60+43370*p^11*q^62 +104*p^9*q^64+13450*p^18*q^54+8263769*p^16*q^56+18501064*p^14*q^58+893424*p^12* q^60+10330*p^10*q^62+450330*p^17*q^54+19656208*p^15*q^56+5857110*p^13*q^58+ 105212*p^11*q^60+1180*p^9*q^62+2962*p^18*q^52+3818468*p^16*q^54+18049446*p^14*q ^56+1300062*p^12*q^58+3834*p^10*q^60+119925*p^17*q^52+13385446*p^15*q^54+ 7612340*p^13*q^56+169364*p^11*q^58+2368*p^9*q^60+152*p^18*q^50+1518348*p^16*q^ 52+16776376*p^14*q^54+1533084*p^12*q^56+9250*p^10*q^58+44*p^8*q^60+20738*p^17*q ^50+7998022*p^15*q^52+8714870*p^13*q^54+268952*p^11*q^56+204*p^9*q^58+7*p^18*q^ 48+583642*p^16*q^50+13855619*p^14*q^52+2114094*p^12*q^54+24222*p^10*q^56+364*p^ 8*q^58+3960*p^17*q^48+3771924*p^15*q^50+9455256*p^13*q^52+363274*p^11*q^54+330* p^9*q^56+123586*p^16*q^48+10796256*p^14*q^50+2948414*p^12*q^52+38878*p^10*q^54+ 84*p^17*q^46+1793816*p^15*q^48+9167064*p^13*q^50+402889*p^11*q^52+2218*p^9*q^54 +24*p^7*q^56+33870*p^16*q^46+6412424*p^14*q^48+3720738*p^12*q^50+82350*p^10*q^ 52+21*p^17*q^44+552566*p^15*q^46+9028579*p^13*q^48+693254*p^11*q^50+3236*p^9*q^ 52+2240*p^16*q^44+3658860*p^14*q^46+4087166*p^12*q^48+61354*p^10*q^50+92*p^8*q^ 52+164622*p^15*q^44+7074586*p^13*q^46+1045148*p^11*q^48+14318*p^9*q^50+378*p^16 *q^42+1613150*p^14*q^44+4696218*p^12*q^46+110248*p^10*q^48+114*p^8*q^50+27580*p ^15*q^42+4863347*p^13*q^44+1335232*p^11*q^46+11777*p^9*q^48+552350*p^14*q^42+ 4908498*p^12*q^44+203226*p^10*q^46+1404*p^8*q^48+2982*p^15*q^40+2955666*p^13*q^ 42+1592056*p^11*q^44+10704*p^9*q^46+157500*p^14*q^40+4135404*p^12*q^42+330274*p ^10*q^44+2636*p^8*q^46+280*p^15*q^38+1289074*p^13*q^40+2163590*p^11*q^42+26654* p^9*q^44+48*p^7*q^46+20062*p^14*q^38+3327162*p^12*q^40+394360*p^10*q^42+464*p^8 *q^44+511956*p^13*q^38+2227905*p^11*q^40+55558*p^9*q^42+394*p^7*q^44+3500*p^14* q^36+1958120*p^12*q^38+618795*p^10*q^40+2304*p^8*q^42+104300*p^13*q^36+2323718* p^11*q^38+84966*p^9*q^40+56*p^14*q^34+1026156*p^12*q^36+778290*p^10*q^38+5220*p ^8*q^40+26*p^6*q^42+20036*p^13*q^34+1832502*p^11*q^36+118008*p^9*q^38+100*p^7*q ^40+339698*p^12*q^34+1016700*p^10*q^36+15104*p^8*q^38+1596*p^13*q^32+1263504*p^ 11*q^34+183452*p^9*q^36+204*p^7*q^38+74778*p^12*q^32+1075850*p^10*q^34+17779*p^ 8*q^36+658584*p^11*q^32+277878*p^9*q^34+1566*p^7*q^36+12544*p^12*q^30+926940*p^ 10*q^32+29444*p^8*q^34+193956*p^11*q^30+414994*p^9*q^32+2946*p^7*q^34+252*p^12* q^28+744522*p^10*q^30+45780*p^8*q^32+52*p^6*q^34+48940*p^11*q^28+412120*p^9*q^ 30+2909*p^7*q^32+328500*p^10*q^28+108234*p^8*q^30+424*p^6*q^32+3528*p^11*q^26+ 482162*p^9*q^28+4258*p^7*q^30+112836*p^10*q^26+118704*p^8*q^28+138*p^6*q^30+9*p ^11*q^24+338032*p^9*q^26+18150*p^7*q^28+28*p^5*q^30+18162*p^10*q^24+178480*p^8* q^26+190*p^6*q^28+160174*p^9*q^24+25352*p^7*q^26+378*p^10*q^22+205296*p^8*q^24+ 1644*p^6*q^26+47400*p^9*q^22+36566*p^7*q^24+137280*p^8*q^22+4466*p^6*q^24+3030* p^9*q^20+74178*p^7*q^22+56*p^5*q^24+69234*p^8*q^20+3618*p^6*q^22+10*p^9*q^18+ 69784*p^7*q^20+542*p^5*q^22+10164*p^8*q^18+15830*p^6*q^20+57852*p^7*q^18+114*p^ 5*q^20+165*p^8*q^16+21320*p^6*q^18+30*p^4*q^20+17523*p^7*q^16+1802*p^5*q^18+ 27353*p^6*q^16+792*p^7*q^14+4116*p^5*q^16+16874*p^6*q^14+76*p^4*q^16+6972*p^5*q ^14+1716*p^6*q^12+514*p^4*q^14+9373*p^5*q^12+840*p^4*q^12+2002*p^5*q^10+32*p^3* q^12+2970*p^4*q^10+32*p^3*q^10+1365*p^4*q^8+497*p^3*q^8+560*p^3*q^6+34*p^2*q^6+ 136*p^2*q^4+18*p*q^2+1 J[20](p, q), equals p^190*q^2660+19*p^189*q^2658+153*p^188*q^2656+36*p^188*q^2654+680*p^187*q^2654+ 562*p^187*q^2652+1820*p^186*q^2652+34*p^187*q^2650+3632*p^186*q^2650+34*p^187*q ^2648+3003*p^185*q^2650+960*p^186*q^2648+12600*p^185*q^2648+580*p^186*q^2646+ 3003*p^184*q^2648+8670*p^185*q^2646+81*p^186*q^2644+25480*p^184*q^2646+4950*p^ 185*q^2644+1716*p^183*q^2646+37612*p^184*q^2644+2065*p^185*q^2642+30602*p^183*q ^2644+32*p^186*q^2640+27720*p^184*q^2642+495*p^182*q^2644+122*p^185*q^2640+ 89739*p^183*q^2642+19602*p^184*q^2640+21384*p^182*q^2642+610*p^185*q^2638+ 100542*p^183*q^2640+55*p^181*q^2642+4204*p^184*q^2638+124014*p^182*q^2640+60*p^ 185*q^2636+100387*p^183*q^2638+8184*p^181*q^2640+5340*p^184*q^2636+225132*p^182 *q^2638+p^180*q^2640+46554*p^183*q^2636+100650*p^181*q^2638+1880*p^184*q^2634+ 310324*p^182*q^2636+1500*p^180*q^2638+32156*p^183*q^2634+305944*p^181*q^2636+ 204*p^184*q^2632+251722*p^182*q^2634+47340*p^180*q^2636+30*p^185*q^2630+22206*p ^183*q^2632+588797*p^181*q^2634+90*p^179*q^2636+148*p^184*q^2630+161476*p^182*q ^2632+254380*p^180*q^2634+4946*p^183*q^2630+767358*p^181*q^2632+12132*p^179*q^ 2634+484*p^184*q^2628+142928*p^182*q^2630+680505*p^180*q^2632+3326*p^183*q^2628 +619606*p^181*q^2630+131490*p^179*q^2632+56*p^184*q^2626+57519*p^182*q^2628+ 1374924*p^180*q^2630+1404*p^178*q^2632+3579*p^183*q^2626+598626*p^181*q^2628+ 485634*p^179*q^2630+36050*p^182*q^2626+1586958*p^180*q^2628+41532*p^178*q^2630+ 1796*p^183*q^2624+381536*p^181*q^2626+1454352*p^179*q^2628+36*p^177*q^2630+ 22367*p^182*q^2624+1735000*p^180*q^2626+225062*p^178*q^2628+220*p^183*q^2622+ 243110*p^181*q^2624+2534832*p^179*q^2626+7224*p^177*q^2628+18570*p^182*q^2622+ 1550675*p^180*q^2624+917780*p^178*q^2626+108*p^183*q^2620+153732*p^181*q^2622+ 3407646*p^179*q^2624+71409*p^177*q^2626+28*p^184*q^2618+6034*p^182*q^2620+ 1132824*p^180*q^2622+2462946*p^178*q^2624+504*p^176*q^2626+111404*p^181*q^2620+ 4028924*p^179*q^2622+354372*p^177*q^2624+2648*p^182*q^2618+866932*p^180*q^2620+ 4336124*p^178*q^2622+15255*p^176*q^2624+452*p^183*q^2616+69362*p^181*q^2618+ 3645918*p^179*q^2620+1476690*p^177*q^2622+502*p^182*q^2616+547416*p^180*q^2618+ 6736091*p^178*q^2620+87248*p^176*q^2622+52*p^183*q^2614+32520*p^181*q^2616+ 3356714*p^179*q^2618+3473506*p^177*q^2620+1820*p^175*q^2622+3232*p^182*q^2614+ 446194*p^180*q^2616+7832932*p^178*q^2618+555396*p^176*q^2620+12514*p^181*q^2614 +2383608*p^179*q^2616+7166686*p^177*q^2618+15428*p^175*q^2620+1622*p^182*q^2612 +265002*p^180*q^2614+8678266*p^178*q^2616+1798824*p^176*q^2618+70*p^174*q^2620+ 15156*p^181*q^2612+1957156*p^179*q^2614+10938024*p^177*q^2616+126658*p^175*q^ 2618+124*p^182*q^2610+139318*p^180*q^2612+7849628*p^178*q^2614+4784996*p^176*q^ 2616+2184*p^174*q^2618+17643*p^181*q^2610+1478728*p^179*q^2612+14738216*p^177*q ^2614+635450*p^175*q^2616+100*p^182*q^2608+79142*p^180*q^2610+6585703*p^178*q^ 2612+9888228*p^176*q^2614+15876*p^174*q^2616+3784*p^181*q^2608+947728*p^179*q^ 2610+17419770*p^177*q^2612+2034636*p^175*q^2614+168*p^173*q^2616+107802*p^180*q ^2608+5796602*p^178*q^2610+16186068*p^176*q^2612+155764*p^174*q^2614+26*p^183*q ^2604+2557*p^181*q^2606+537300*p^179*q^2608+16747248*p^177*q^2610+5826454*p^175 *q^2612+1134*p^173*q^2614+48700*p^180*q^2606+4412468*p^178*q^2608+24839476*p^ 176*q^2610+569680*p^174*q^2612+360*p^181*q^2604+497912*p^179*q^2606+16494402*p^ 177*q^2608+11642930*p^175*q^2610+23870*p^173*q^2612+420*p^182*q^2602+29618*p^ 180*q^2604+3048358*p^178*q^2606+29722815*p^176*q^2608+2283584*p^174*q^2610+112* p^172*q^2612+222*p^181*q^2602+359634*p^179*q^2604+14574050*p^177*q^2606+ 22449210*p^175*q^2608+114614*p^173*q^2610+48*p^182*q^2600+10832*p^180*q^2602+ 2199577*p^178*q^2604+33740966*p^176*q^2606+5664336*p^174*q^2608+1624*p^172*q^ 2610+2930*p^181*q^2600+220724*p^179*q^2602+12152872*p^177*q^2604+34683051*p^175 *q^2606+583778*p^173*q^2608+7*p^171*q^2610+4420*p^180*q^2600+1848668*p^178*q^ 2602+34502172*p^176*q^2604+13169848*p^174*q^2606+18727*p^172*q^2608+1380*p^181* q^2598+132458*p^179*q^2600+9070157*p^177*q^2602+47172326*p^175*q^2604+1982296*p ^173*q^2606+13456*p^180*q^2598+1243712*p^178*q^2600+33543624*p^176*q^2602+ 26165207*p^174*q^2604+89900*p^172*q^2606+114*p^181*q^2596+53020*p^179*q^2598+ 7516290*p^177*q^2600+57791556*p^175*q^2602+5167706*p^173*q^2604+2175*p^171*q^ 2606+13430*p^180*q^2596+939088*p^178*q^2598+29461134*p^176*q^2600+43375822*p^ 174*q^2602+516164*p^172*q^2604+92*p^181*q^2594+66000*p^179*q^2596+5651664*p^177 *q^2598+64280522*p^175*q^2600+13222039*p^173*q^2602+7806*p^171*q^2604+3408*p^ 180*q^2594+468588*p^178*q^2596+24948942*p^176*q^2598+65745430*p^174*q^2600+ 1416052*p^172*q^2602+105*p^170*q^2604+72255*p^179*q^2594+4595234*p^177*q^2596+ 67829948*p^175*q^2598+26109552*p^173*q^2600+93040*p^171*q^2602+2206*p^180*q^ 2592+389208*p^178*q^2594+20737982*p^176*q^2596+85327280*p^174*q^2598+4652646*p^ 172*q^2600+570*p^170*q^2602+39566*p^179*q^2592+2972922*p^177*q^2594+64150456*p^ 175*q^2596+49559924*p^173*q^2598+295068*p^171*q^2600+24*p^182*q^2588+380*p^180* q^2590+328663*p^178*q^2592+17270036*p^176*q^2594+106398759*p^174*q^2596+ 10814778*p^172*q^2598+9192*p^170*q^2600+24754*p^179*q^2590+2135586*p^177*q^2592 +59132272*p^175*q^2594+77159342*p^173*q^2596+1144929*p^171*q^2598+42*p^169*q^ 2600+132*p^180*q^2588+253228*p^178*q^2590+13598882*p^176*q^2592+118696794*p^174 *q^2594+24674190*p^172*q^2596+52760*p^170*q^2598+388*p^181*q^2586+10498*p^179*q ^2588+1684606*p^177*q^2590+51957066*p^175*q^2592+112889524*p^173*q^2594+3313502 *p^171*q^2596+270*p^169*q^2598+88*p^180*q^2586+181694*p^178*q^2588+9772358*p^ 176*q^2590+124248251*p^174*q^2592+47784542*p^172*q^2594+188145*p^170*q^2596+44* p^181*q^2584+2810*p^179*q^2586+1210580*p^177*q^2588+46085052*p^175*q^2590+ 150196334*p^173*q^2592+8356341*p^171*q^2594+7496*p^169*q^2596+2620*p^180*q^2584 +118700*p^178*q^2586+8105900*p^176*q^2588+121319002*p^174*q^2590+80795355*p^172 *q^2592+790790*p^170*q^2594+2608*p^179*q^2584+993830*p^177*q^2586+36131458*p^ 175*q^2588+183574271*p^173*q^2590+20626908*p^171*q^2592+19615*p^169*q^2594+1272 *p^180*q^2582+42610*p^178*q^2584+5583640*p^176*q^2586+117694530*p^174*q^2588+ 128939140*p^172*q^2590+2006755*p^170*q^2592+540*p^168*q^2594+9902*p^179*q^2582+ 782016*p^177*q^2584+31010680*p^175*q^2586+206485544*p^173*q^2588+39957504*p^171 *q^2590+144974*p^169*q^2592+104*p^180*q^2580+33676*p^178*q^2582+4513084*p^176*q ^2584+104339878*p^174*q^2586+184283764*p^172*q^2588+6363436*p^170*q^2590+1664*p ^168*q^2592+12348*p^179*q^2580+428018*p^177*q^2582+23818506*p^175*q^2584+ 222519305*p^173*q^2586+75792998*p^171*q^2588+365190*p^169*q^2590+84*p^180*q^ 2578+31756*p^178*q^2580+3715746*p^176*q^2582+92698872*p^174*q^2584+245139004*p^ 172*q^2586+14235724*p^170*q^2588+18104*p^168*q^2590+3050*p^179*q^2578+279150*p^ 177*q^2580+18421696*p^175*q^2582+226079516*p^173*q^2584+126406252*p^171*q^2586+ 1393100*p^169*q^2588+210*p^167*q^2590+61480*p^178*q^2578+2723621*p^176*q^2580+ 80720542*p^174*q^2582+299012332*p^172*q^2584+31382054*p^170*q^2586+58002*p^168* q^2588+2000*p^179*q^2576+183347*p^177*q^2578+15015836*p^175*q^2580+215826532*p^ 173*q^2582+198013034*p^171*q^2584+3870467*p^169*q^2586+1140*p^167*q^2588+34756* p^178*q^2576+1803874*p^176*q^2578+65384048*p^174*q^2580+352099214*p^172*q^2582+ 60866525*p^170*q^2584+201898*p^168*q^2586+15*p^166*q^2588+236*p^179*q^2574+ 212696*p^177*q^2576+12186567*p^175*q^2578+206822528*p^173*q^2580+280310321*p^ 171*q^2582+9357948*p^169*q^2584+8596*p^167*q^2586+21936*p^178*q^2574+1274722*p^ 176*q^2576+54377796*p^174*q^2578+376667341*p^172*q^2580+110351446*p^170*q^2582+ 835427*p^168*q^2584+22*p^181*q^2570+120*p^179*q^2572+214686*p^177*q^2574+ 9232074*p^175*q^2576+184374352*p^173*q^2578+378855668*p^171*q^2580+21713035*p^ 169*q^2582+17028*p^167*q^2584+7408*p^178*q^2572+862398*p^176*q^2574+44136412*p^ 174*q^2576+397747622*p^172*q^2578+182784453*p^170*q^2580+2031758*p^168*q^2582+ 990*p^166*q^2584+80*p^179*q^2570+152514*p^177*q^2572+6960739*p^175*q^2574+ 164840766*p^173*q^2576+470603418*p^171*q^2578+43481906*p^169*q^2580+137928*p^ 167*q^2582+356*p^180*q^2568+2396*p^178*q^2570+938686*p^176*q^2572+36914740*p^ 174*q^2574+392732336*p^172*q^2576+281863144*p^170*q^2578+5987204*p^168*q^2580+ 684*p^166*q^2582+89900*p^177*q^2570+4635096*p^175*q^2572+138111553*p^173*q^2574 +556610944*p^171*q^2576+85085272*p^169*q^2578+336862*p^167*q^2580+60*p^165*q^ 2582+40*p^180*q^2566+2298*p^178*q^2568+772188*p^176*q^2570+29706456*p^174*q^ 2572+384917992*p^172*q^2574+406521229*p^170*q^2576+12770574*p^168*q^2578+15060* p^166*q^2580+2406*p^179*q^2566+31744*p^177*q^2568+3880082*p^175*q^2570+ 119459498*p^173*q^2572+619617871*p^171*q^2574+148161366*p^169*q^2576+1233010*p^ 167*q^2578+6*p^165*q^2580+328*p^178*q^2566+614416*p^176*q^2568+22352900*p^174*q ^2570+354994349*p^172*q^2572+549810216*p^170*q^2574+28843105*p^168*q^2576+49328 *p^166*q^2578+1164*p^179*q^2564+29482*p^177*q^2566+3337312*p^175*q^2568+ 102139398*p^173*q^2570+663310508*p^171*q^2572+246070012*p^169*q^2574+3062156*p^ 167*q^2576+865*p^165*q^2578+9110*p^178*q^2564+308812*p^176*q^2566+16774834*p^ 174*q^2568+318536204*p^172*q^2570+700568422*p^170*q^2572+57378004*p^168*q^2574+ 167584*p^166*q^2576+94*p^179*q^2562+9396*p^177*q^2564+2886920*p^175*q^2566+ 84711642*p^173*q^2568+692625627*p^171*q^2570+376830088*p^169*q^2572+7236948*p^ 167*q^2574+6560*p^165*q^2576+11150*p^178*q^2562+233600*p^176*q^2564+13976282*p^ 174*q^2566+287452347*p^172*q^2568+832427614*p^170*q^2570+107671295*p^168*q^2572 +636360*p^166*q^2574+15*p^164*q^2576+76*p^179*q^2560+25217*p^177*q^2562+2035964 *p^175*q^2564+66399770*p^173*q^2566+672279358*p^171*q^2568+558013634*p^169*q^ 2570+16943186*p^167*q^2572+12582*p^165*q^2574+2716*p^178*q^2560+125564*p^176*q^ 2562+11387916*p^174*q^2564+254022014*p^172*q^2566+975449344*p^170*q^2568+ 185207566*p^168*q^2570+1380417*p^166*q^2572+620*p^164*q^2574+53632*p^177*q^2560 +1413811*p^175*q^2562+54821252*p^173*q^2564+650809739*p^171*q^2566+745469474*p^ 169*q^2568+35244536*p^167*q^2570+104760*p^165*q^2572+1744*p^178*q^2558+96380*p^ 176*q^2560+9621776*p^174*q^2562+216589844*p^172*q^2564+1063682460*p^170*q^2566+ 311742676*p^168*q^2568+3929974*p^166*q^2570+480*p^164*q^2572+30084*p^177*q^2558 +1004082*p^175*q^2560+43332639*p^173*q^2562+609625670*p^171*q^2564+979785621*p^ 169*q^2566+68528274*p^167*q^2568+216562*p^165*q^2570+30*p^163*q^2572+212*p^178* q^2556+171044*p^176*q^2558+7080370*p^174*q^2560+183801506*p^172*q^2562+ 1125512808*p^170*q^2564+478396702*p^168*q^2566+8813297*p^166*q^2568+10836*p^164 *q^2570+18532*p^177*q^2556+613555*p^175*q^2558+36948812*p^173*q^2560+562397278* p^171*q^2562+1207805156*p^169*q^2564+126449737*p^167*q^2566+720914*p^165*q^2568 +10*p^163*q^2570+108*p^178*q^2554+170936*p^176*q^2556+5568790*p^174*q^2558+ 152758406*p^172*q^2560+1147086248*p^170*q^2562+697766388*p^168*q^2564+19763834* p^166*q^2566+31991*p^164*q^2568+6534*p^177*q^2554+600412*p^175*q^2556+29793662* p^173*q^2558+503082014*p^171*q^2560+1427047734*p^169*q^2562+223354260*p^167*q^ 2564+1761585*p^165*q^2566+550*p^163*q^2568+20*p^180*q^2550+72*p^178*q^2552+ 125418*p^176*q^2554+3762284*p^174*q^2556+126541722*p^172*q^2558+1140548291*p^ 170*q^2560+978265306*p^168*q^2562+39157348*p^166*q^2564+98140*p^164*q^2566+2124 *p^177*q^2552+641094*p^175*q^2554+24100616*p^173*q^2556+449060827*p^171*q^2558+ 1610991976*p^169*q^2560+360615561*p^167*q^2562+4378696*p^165*q^2564+4258*p^163* q^2566+74824*p^176*q^2552+2991732*p^174*q^2554+107591664*p^172*q^2556+ 1098290458*p^170*q^2558+1287856379*p^168*q^2560+78387214*p^166*q^2562+315156*p^ 164*q^2564+20*p^162*q^2566+324*p^179*q^2548+2122*p^177*q^2550+602574*p^175*q^ 2552+18417602*p^173*q^2554+383365548*p^171*q^2556+1756829276*p^169*q^2558+ 569077428*p^167*q^2560+9807626*p^165*q^2562+8024*p^163*q^2564+27556*p^176*q^ 2550+2383508*p^174*q^2552+88390380*p^172*q^2554+1044748457*p^170*q^2556+ 1642207618*p^168*q^2558+139506239*p^166*q^2560+703356*p^164*q^2562+355*p^162*q^ 2564+36*p^179*q^2546+272*p^177*q^2548+476772*p^175*q^2550+14581672*p^173*q^2552 +335204996*p^171*q^2554+1847979198*p^169*q^2556+834741969*p^167*q^2558+21165350 *p^165*q^2560+53118*p^163*q^2562+2192*p^178*q^2546+26332*p^176*q^2548+2338492*p ^174*q^2550+73026003*p^172*q^2552+960935414*p^170*q^2554+1973207818*p^168*q^ 2556+246433902*p^166*q^2558+2049210*p^164*q^2560+200*p^162*q^2562+172*p^177*q^ 2546+252636*p^175*q^2548+10919008*p^173*q^2550+283886978*p^171*q^2552+ 1890373503*p^169*q^2554+1195161280*p^167*q^2556+42100944*p^165*q^2558+86352*p^ 163*q^2560+15*p^161*q^2562+1056*p^178*q^2544+8600*p^176*q^2546+2119610*p^174*q^ 2548+59088438*p^172*q^2550+875162441*p^170*q^2552+2315314064*p^168*q^2554+ 397875378*p^166*q^2556+4495250*p^164*q^2558+6962*p^162*q^2560+8104*p^177*q^2544 +197563*p^175*q^2546+9015376*p^173*q^2548+243439993*p^171*q^2550+1884823176*p^ 169*q^2552+1602966788*p^167*q^2554+81705044*p^165*q^2556+325399*p^163*q^2558+84 *p^178*q^2542+3724*p^176*q^2544+1526688*p^174*q^2546+47904420*p^172*q^2548+ 780732264*p^170*q^2550+2581821429*p^168*q^2552+632579394*p^166*q^2554+10191258* p^164*q^2556+12296*p^162*q^2558+p^160*q^2560+10148*p^177*q^2542+116768*p^175*q^ 2544+8180410*p^173*q^2546+203736844*p^171*q^2548+1833496623*p^169*q^2550+ 2086297970*p^167*q^2552+146846532*p^165*q^2554+808598*p^163*q^2556+480*p^161*q^ 2558+68*p^178*q^2540+19308*p^176*q^2542+1124765*p^174*q^2544+36812384*p^172*q^ 2546+689701210*p^170*q^2548+2816596876*p^168*q^2550+947718246*p^166*q^2552+ 21077256*p^164*q^2554+31004*p^162*q^2556+2384*p^177*q^2540+47982*p^175*q^2542+ 6711134*p^173*q^2544+173253779*p^171*q^2546+1751144212*p^169*q^2548+2596677288* p^167*q^2550+250169296*p^165*q^2552+1958602*p^163*q^2554+2216*p^161*q^2556+ 48542*p^176*q^2540+885100*p^174*q^2542+31621124*p^172*q^2544+605431092*p^170*q^ 2546+2953619542*p^168*q^2548+1360360904*p^166*q^2550+43673099*p^164*q^2552+ 131904*p^162*q^2554+1572*p^177*q^2538+52500*p^175*q^2540+5312740*p^173*q^2542+ 139831996*p^171*q^2544+1622565864*p^169*q^2546+3110470986*p^167*q^2548+ 422109252*p^165*q^2550+4327856*p^163*q^2552+1056*p^161*q^2554+25944*p^176*q^ 2538+457696*p^174*q^2540+25848378*p^172*q^2542+525726645*p^170*q^2544+ 3067531944*p^168*q^2546+1882574932*p^166*q^2548+77514316*p^164*q^2550+286730*p^ 162*q^2552+300*p^160*q^2554+188*p^177*q^2536+142124*p^175*q^2538+4495874*p^173* q^2540+117542812*p^171*q^2542+1503896784*p^169*q^2544+3580597734*p^167*q^2546+ 657022214*p^165*q^2548+10384488*p^163*q^2550+16900*p^161*q^2552+16658*p^176*q^ 2536+312918*p^174*q^2538+21630900*p^172*q^2540+451322372*p^170*q^2542+ 3041322172*p^168*q^2544+2508920044*p^166*q^2546+145502352*p^164*q^2548+755246*p ^162*q^2550+96*p^177*q^2534+143780*p^175*q^2536+3119827*p^173*q^2538+96349528*p ^171*q^2540+1358595902*p^169*q^2542+4031067136*p^167*q^2544+1005120411*p^165*q^ 2546+19895912*p^163*q^2548+33324*p^161*q^2550+20*p^159*q^2552+5856*p^176*q^2534 +370802*p^174*q^2536+18101438*p^172*q^2538+385265886*p^170*q^2540+3000438008*p^ 168*q^2542+3188209692*p^166*q^2544+246878892*p^164*q^2546+1870770*p^162*q^2548+ 1120*p^160*q^2550+64*p^177*q^2532+108078*p^175*q^2534+2090764*p^173*q^2536+ 80351706*p^171*q^2538+1220464048*p^169*q^2540+4388146092*p^167*q^2542+ 1469850076*p^165*q^2544+39636785*p^163*q^2546+113178*p^161*q^2548+1832*p^176*q^ 2532+504552*p^174*q^2534+15102428*p^172*q^2536+328035504*p^170*q^2538+ 2881911390*p^168*q^2540+3922502254*p^166*q^2542+409172145*p^164*q^2544+4330044* p^162*q^2546+3842*p^160*q^2548+18*p^179*q^2528+67396*p^175*q^2532+1548784*p^173 *q^2534+66676354*p^171*q^2536+1078184238*p^169*q^2538+4626044058*p^167*q^2540+ 2088110841*p^165*q^2542+74949854*p^163*q^2544+258472*p^161*q^2546+1844*p^176*q^ 2530+473457*p^174*q^2532+11234244*p^172*q^2534+275026285*p^170*q^2536+ 2728901048*p^168*q^2538+4698150325*p^166*q^2540+648202618*p^164*q^2542+8713995* p^162*q^2544+12432*p^160*q^2546+22894*p^175*q^2530+1580990*p^173*q^2532+ 57050260*p^171*q^2534+955909894*p^169*q^2536+4807521033*p^167*q^2538+2799526590 *p^165*q^2540+132619623*p^163*q^2542+745014*p^161*q^2544+458*p^159*q^2546+292*p ^178*q^2526+176*p^176*q^2528+418814*p^174*q^2530+8308061*p^172*q^2532+232851414 *p^170*q^2534+2529977330*p^168*q^2536+5397174610*p^166*q^2538+1012972864*p^164* q^2540+18811834*p^162*q^2542+34386*p^160*q^2544+23216*p^175*q^2528+1626512*p^ 173*q^2530+47650644*p^171*q^2532+827043640*p^169*q^2534+4845669646*p^167*q^2536 +3705313236*p^165*q^2538+226968256*p^163*q^2540+1583508*p^161*q^2542+696*p^159* q^2544+32*p^178*q^2524+152*p^176*q^2526+206324*p^174*q^2528+6322184*p^172*q^ 2530+193068464*p^170*q^2532+2337014312*p^168*q^2534+6071087472*p^166*q^2536+ 1494851662*p^164*q^2538+34790148*p^162*q^2540+85260*p^160*q^2542+30*p^158*q^ 2544+1978*p^177*q^2524+6242*p^175*q^2526+1690636*p^173*q^2528+38212283*p^171*q^ 2530+726502470*p^169*q^2532+4813035911*p^167*q^2534+4653212988*p^165*q^2536+ 377389342*p^163*q^2538+3923110*p^161*q^2540+4970*p^159*q^2542+60*p^176*q^2524+ 174512*p^174*q^2526+5758232*p^172*q^2528+167901394*p^170*q^2530+2109525482*p^ 168*q^2532+6625136366*p^166*q^2534+2153646257*p^164*q^2536+66514096*p^162*q^ 2538+242616*p^160*q^2540+948*p^177*q^2522+3212*p^175*q^2524+1220788*p^173*q^ 2526+28842564*p^171*q^2528+611751960*p^169*q^2530+4671937532*p^167*q^2532+ 5736436334*p^165*q^2534+611498134*p^163*q^2536+7508508*p^161*q^2538+5288*p^159* q^2540+7320*p^176*q^2522+89608*p^174*q^2524+5583564*p^172*q^2526+142678381*p^ 170*q^2528+1918719518*p^168*q^2530+7078548577*p^166*q^2532+2981876250*p^164*q^ 2534+113687822*p^162*q^2536+651550*p^160*q^2538+558*p^158*q^2540+74*p^177*q^ 2520+1718*p^175*q^2522+948582*p^173*q^2524+23327357*p^171*q^2526+527997446*p^ 169*q^2528+4469080971*p^167*q^2530+6782992216*p^165*q^2532+952095424*p^163*q^ 2534+16114550*p^161*q^2536+27926*p^159*q^2538+9086*p^176*q^2520+38824*p^174*q^ 2522+5050324*p^172*q^2524+117017472*p^170*q^2526+1705647131*p^168*q^2528+ 7380044996*p^166*q^2530+4001715458*p^164*q^2532+199343352*p^162*q^2534+1420700* p^160*q^2536+112*p^158*q^2538+60*p^177*q^2518+17204*p^175*q^2520+709286*p^173*q ^2522+20035148*p^171*q^2524+457536212*p^169*q^2526+4206107522*p^167*q^2528+ 7873816677*p^165*q^2530+1439658602*p^163*q^2532+29674998*p^161*q^2534+84226*p^ 159*q^2536+30*p^157*q^2538+2128*p^176*q^2518+25926*p^174*q^2520+4097974*p^172*q ^2522+93365405*p^170*q^2524+1494133284*p^168*q^2526+7539035114*p^166*q^2528+ 5205786124*p^164*q^2530+331314812*p^162*q^2532+3009146*p^160*q^2534+1806*p^158* q^2536+42718*p^175*q^2518+345780*p^173*q^2520+17747492*p^171*q^2522+396681896*p ^169*q^2524+3957286950*p^167*q^2526+8858811754*p^165*q^2528+2092961512*p^163*q^ 2530+53539842*p^161*q^2532+234048*p^159*q^2534+1400*p^176*q^2516+38584*p^174*q^ 2518+3674476*p^172*q^2520+78094992*p^170*q^2522+1314340516*p^168*q^2524+ 7520021630*p^166*q^2526+6516090306*p^164*q^2528+544511960*p^162*q^2530+6923808* p^160*q^2532+9008*p^158*q^2534+23158*p^175*q^2516+250250*p^173*q^2518+15205640* p^171*q^2520+330826165*p^169*q^2522+3617180826*p^167*q^2524+9783590695*p^165*q^ 2526+2992301064*p^163*q^2528+95126776*p^161*q^2530+432116*p^159*q^2532+54*p^157 *q^2534+164*p^176*q^2514+119388*p^174*q^2516+2278524*p^172*q^2518+64460726*p^ 170*q^2520+1157551872*p^168*q^2522+7433305327*p^166*q^2524+8012515666*p^164*q^ 2526+842104407*p^162*q^2528+12135944*p^160*q^2530+27370*p^158*q^2532+14784*p^ 175*q^2514+170658*p^173*q^2516+14312856*p^171*q^2518+280111008*p^169*q^2520+ 3308534668*p^167*q^2522+10480005066*p^165*q^2524+4062394524*p^163*q^2526+ 166875286*p^161*q^2528+1337598*p^159*q^2530+676*p^157*q^2532+84*p^176*q^2512+ 124736*p^174*q^2514+1685682*p^172*q^2516+54308826*p^170*q^2518+1013242924*p^168 *q^2520+7194201662*p^166*q^2522+9514429774*p^164*q^2524+1316147928*p^162*q^2526 +23530047*p^160*q^2528+59622*p^158*q^2530+5124*p^175*q^2512+279018*p^173*q^2514 +11086820*p^171*q^2516+234285474*p^169*q^2518+2962549418*p^167*q^2520+ 11067488432*p^165*q^2522+5422520214*p^163*q^2524+274305071*p^161*q^2526+2411550 *p^159*q^2528+1796*p^157*q^2530+56*p^176*q^2510+94906*p^174*q^2512+1100938*p^ 172*q^2514+48831704*p^170*q^2516+874139550*p^168*q^2518+6910726382*p^166*q^2520 +11089728630*p^164*q^2522+1934000554*p^162*q^2524+42781930*p^160*q^2526+184210* p^158*q^2528+20*p^156*q^2530+1600*p^175*q^2510+402092*p^173*q^2512+8526112*p^ 171*q^2514+194445176*p^169*q^2516+2685964164*p^167*q^2518+11375577406*p^165*q^ 2520+6994580754*p^163*q^2522+453169400*p^161*q^2524+5011085*p^159*q^2526+7960*p ^157*q^2528+58192*p^174*q^2510+976988*p^172*q^2512+42720110*p^170*q^2514+ 759601166*p^168*q^2516+6488159218*p^166*q^2518+12557999089*p^164*q^2520+ 2793982310*p^162*q^2522+76006110*p^160*q^2524+433742*p^158*q^2526+68*p^156*q^ 2528+1572*p^175*q^2508+400074*p^173*q^2510+6333572*p^171*q^2512+165170592*p^169 *q^2514+2379574238*p^167*q^2516+11578004786*p^165*q^2518+8788042240*p^163*q^ 2520+728850402*p^161*q^2522+9536650*p^159*q^2524+18520*p^157*q^2526+16*p^178*q^ 2504+20562*p^174*q^2508+1110884*p^172*q^2510+34658542*p^170*q^2512+645422330*p^ 168*q^2514+6062468116*p^166*q^2516+13969048716*p^164*q^2518+3905187298*p^162*q^ 2520+127029490*p^160*q^2522+868988*p^158*q^2524+564*p^156*q^2526+152*p^175*q^ 2506+351062*p^173*q^2508+4670735*p^171*q^2510+145961256*p^169*q^2512+2126111644 *p^167*q^2514+11552037286*p^165*q^2516+10765463782*p^163*q^2518+1116670052*p^ 161*q^2520+18301434*p^159*q^2522+64234*p^157*q^2524+19336*p^174*q^2506+1222560* p^172*q^2508+28938658*p^170*q^2510+548833942*p^168*q^2512+5602728574*p^166*q^ 2514+15075130433*p^164*q^2516+5313625742*p^162*q^2518+223696768*p^160*q^2520+ 1939816*p^158*q^2522+2316*p^156*q^2524+260*p^177*q^2502+132*p^175*q^2504+184162 *p^173*q^2506+4161746*p^171*q^2508+123031059*p^169*q^2510+1869724030*p^167*q^ 2512+11322732138*p^165*q^2514+12923257892*p^163*q^2516+1695908402*p^161*q^2518+ 30985344*p^159*q^2520+112226*p^157*q^2522+5474*p^174*q^2504+1337688*p^172*q^ 2506+21462202*p^170*q^2508+472703374*p^168*q^2510+5128787690*p^166*q^2512+ 16167658310*p^164*q^2514+6992375166*p^162*q^2516+360139048*p^160*q^2518+3720250 *p^158*q^2520+5904*p^156*q^2522+28*p^177*q^2500+52*p^175*q^2502+143458*p^173*q^ 2504+3708146*p^171*q^2506+107684146*p^169*q^2508+1642492488*p^167*q^2510+ 10988293948*p^165*q^2512+15048225157*p^163*q^2514+2475084494*p^161*q^2516+ 56852013*p^159*q^2518+362606*p^157*q^2520+316*p^155*q^2522+1764*p^176*q^2500+ 2764*p^174*q^2502+1033382*p^172*q^2504+18279294*p^170*q^2506+407038871*p^168*q^ 2508+4675640888*p^166*q^2510+16787226361*p^164*q^2512+9059199084*p^162*q^2514+ 588382828*p^160*q^2516+7081410*p^158*q^2518+10838*p^156*q^2520+52*p^175*q^2500+ 76538*p^173*q^2502+3944888*p^171*q^2504+86256016*p^169*q^2506+1423446736*p^167* q^2508+10490449086*p^165*q^2510+17241217516*p^163*q^2512+3535555381*p^161*q^ 2514+97385490*p^159*q^2516+629168*p^157*q^2518+224*p^155*q^2520+840*p^176*q^ 2498+1518*p^174*q^2500+780172*p^172*q^2502+14521652*p^170*q^2504+354213976*p^ 168*q^2506+4229673053*p^166*q^2508+17333780508*p^164*q^2510+11363289429*p^162*q ^2512+911591830*p^160*q^2514+12349208*p^158*q^2516+53734*p^156*q^2518+20*p^154* q^2520+6484*p^175*q^2498+33736*p^173*q^2500+3868840*p^171*q^2502+72771928*p^169 *q^2504+1243830338*p^167*q^2506+9932451484*p^165*q^2508+19298896629*p^163*q^ 2510+4873607850*p^161*q^2512+168393997*p^159*q^2514+1446456*p^157*q^2516+814*p^ 155*q^2518+64*p^176*q^2496+1304*p^174*q^2498+578464*p^172*q^2500+12639924*p^170 *q^2502+302163240*p^168*q^2504+3799664926*p^166*q^2506+17437099721*p^164*q^2508 +13999745634*p^162*q^2510+1407087555*p^160*q^2512+22788800*p^158*q^2514+102694* p^156*q^2516+8092*p^175*q^2496+22531*p^173*q^2498+3308604*p^171*q^2500+60090592 *p^169*q^2502+1084244016*p^167*q^2504+9295668099*p^165*q^2506+21170875754*p^163 *q^2508+6617244760*p^161*q^2510+276616612*p^159*q^2512+2544468*p^157*q^2514+ 4998*p^155*q^2516+52*p^176*q^2494+14284*p^174*q^2496+301000*p^172*q^2498+ 12015824*p^170*q^2500+254795100*p^168*q^2502+3375253518*p^166*q^2504+ 17424330188*p^164*q^2506+16826314023*p^162*q^2508+2078497072*p^160*q^2510+ 40102530*p^158*q^2512+217008*p^156*q^2514+24*p^154*q^2516+1872*p^175*q^2494+ 15566*p^173*q^2496+2827552*p^171*q^2498+48570336*p^169*q^2500+947792615*p^167*q ^2502+8678872450*p^165*q^2504+22834834808*p^163*q^2506+8683176958*p^161*q^2508+ 448538146*p^159*q^2510+4742668*p^157*q^2512+17602*p^155*q^2514+37932*p^174*q^ 2494+211475*p^172*q^2496+11357810*p^170*q^2498+221340677*p^168*q^2500+ 3013155762*p^166*q^2502+17006160218*p^164*q^2504+19807179306*p^162*q^2506+ 3016872891*p^160*q^2508+72740804*p^158*q^2510+528346*p^156*q^2512+280*p^154*q^ 2514+1228*p^175*q^2492+25770*p^173*q^2494+1916530*p^171*q^2496+41206399*p^169*q ^2498+808889308*p^167*q^2500+7958317988*p^165*q^2502+24154176594*p^163*q^2504+ 11268709023*p^161*q^2506+717587192*p^159*q^2508+8047163*p^157*q^2510+20934*p^ 155*q^2512+20452*p^174*q^2492+133240*p^172*q^2494+10391695*p^170*q^2496+ 181860326*p^168*q^2498+2677909086*p^166*q^2500+16603361832*p^164*q^2502+ 22856914109*p^162*q^2504+4233599798*p^160*q^2506+118095642*p^158*q^2508+912490* p^156*q^2510+2196*p^154*q^2512+140*p^175*q^2490+100828*p^173*q^2492+1382997*p^ 171*q^2494+36707872*p^169*q^2496+715115383*p^167*q^2498+7293907002*p^165*q^2500 +25116991449*p^163*q^2502+14115120468*p^161*q^2504+1104865713*p^159*q^2506+ 16568066*p^157*q^2508+91239*p^155*q^2510+16*p^153*q^2512+13064*p^174*q^2490+ 106090*p^172*q^2492+8663522*p^170*q^2494+153577220*p^168*q^2496+2344361254*p^ 166*q^2498+15873048079*p^164*q^2500+25888059144*p^162*q^2502+5870678711*p^160*q ^2504+204848326*p^158*q^2506+1517079*p^156*q^2508+2096*p^154*q^2510+72*p^175*q^ 2488+109322*p^173*q^2490+930440*p^171*q^2492+33682576*p^169*q^2494+608747552*p^ 167*q^2496+6660883497*p^165*q^2498+25671532100*p^163*q^2500+17534098205*p^161*q ^2502+1655189010*p^159*q^2504+27283640*p^157*q^2506+166680*p^155*q^2508+124*p^ 153*q^2510+4484*p^174*q^2488+189384*p^172*q^2490+6745700*p^170*q^2492+127879326 *p^168*q^2494+2072818571*p^166*q^2496+15083389920*p^164*q^2498+28750996200*p^ 162*q^2500+7872555958*p^160*q^2502+332353312*p^158*q^2504+3044112*p^156*q^2506+ 9940*p^154*q^2508+48*p^175*q^2486+83552*p^173*q^2488+690664*p^171*q^2490+ 30417138*p^169*q^2492+525433800*p^167*q^2494+6021804140*p^165*q^2496+ 26009721186*p^163*q^2498+21124408030*p^161*q^2500+2439874210*p^159*q^2502+ 48928822*p^157*q^2504+306966*p^155*q^2506+316*p^153*q^2508+1320*p^174*q^2486+ 333628*p^172*q^2488+5131346*p^170*q^2490+111782375*p^168*q^2492+1825145400*p^ 166*q^2494+14195321871*p^164*q^2496+31300269576*p^162*q^2498+10378936568*p^160* q^2500+532363614*p^158*q^2502+5866391*p^156*q^2504+27300*p^154*q^2506+51818*p^ 173*q^2486+553944*p^171*q^2488+26118989*p^169*q^2490+445091052*p^167*q^2492+ 5404051867*p^165*q^2494+25797901698*p^163*q^2496+25232275331*p^161*q^2498+ 3506886704*p^159*q^2500+84904915*p^157*q^2502+463454*p^155*q^2504+706*p^153*q^ 2506+1364*p^174*q^2484+342116*p^172*q^2486+3802440*p^170*q^2488+97974498*p^168* q^2490+1592196569*p^166*q^2492+13315390292*p^164*q^2494+33578280932*p^162*q^ 2496+13399437514*p^160*q^2498+821666407*p^158*q^2500+9842164*p^156*q^2502+55922 *p^154*q^2504+24*p^152*q^2506+16828*p^173*q^2484+750634*p^171*q^2486+21833660*p ^169*q^2488+380137847*p^167*q^2490+4871086564*p^165*q^2492+25429713774*p^163*q^ 2494+29266485742*p^161*q^2496+4890737166*p^159*q^2498+143106304*p^157*q^2500+ 1117373*p^155*q^2502+3444*p^153*q^2504+128*p^174*q^2482+314902*p^172*q^2484+ 2937914*p^170*q^2486+87774000*p^168*q^2488+1395894324*p^166*q^2490+12313586263* p^164*q^2492+35396791840*p^162*q^2494+16946712883*p^160*q^2496+1274972906*p^158 *q^2498+19057850*p^156*q^2500+88128*p^154*q^2502+108*p^152*q^2504+14*p^177*q^ 2478+16898*p^173*q^2482+953920*p^171*q^2484+17292994*p^169*q^2486+324613628*p^ 167*q^2488+4331311878*p^165*q^2490+24679783384*p^163*q^2492+33596127846*p^161*q ^2494+6732125232*p^159*q^2496+231608863*p^157*q^2498+1728962*p^155*q^2500+6240* p^153*q^2502+112*p^174*q^2480+152552*p^172*q^2482+2309850*p^170*q^2484+76324758 *p^168*q^2486+1206880260*p^166*q^2488+11386305936*p^164*q^2490+36780517640*p^ 162*q^2492+21107715598*p^160*q^2494+1870108197*p^158*q^2496+32499054*p^156*q^ 2498+168293*p^154*q^2500+228*p^152*q^2502+4664*p^173*q^2480+1164589*p^171*q^ 2482+14059814*p^169*q^2484+284214312*p^167*q^2486+3876333932*p^165*q^2488+ 23869903331*p^163*q^2490+37581729052*p^161*q^2492+9002844556*p^159*q^2494+ 380312764*p^157*q^2496+3725683*p^155*q^2498+22092*p^153*q^2500+16*p^151*q^2502+ 228*p^176*q^2476+44*p^174*q^2478+124188*p^172*q^2480+2414428*p^170*q^2482+ 65717730*p^168*q^2484+1047238520*p^166*q^2486+10408354043*p^164*q^2488+ 37550076084*p^162*q^2490+25726614007*p^160*q^2492+2751749404*p^158*q^2494+ 56843922*p^156*q^2496+280472*p^154*q^2498+252*p^152*q^2500+2272*p^173*q^2478+ 867886*p^171*q^2480+10696103*p^169*q^2482+246449652*p^167*q^2484+3424585434*p^ 165*q^2486+22724324552*p^163*q^2488+41736638149*p^161*q^2490+11885022102*p^159* q^2492+594795203*p^157*q^2494+6486418*p^155*q^2496+23058*p^153*q^2498+24*p^176* q^2474+44*p^174*q^2476+66188*p^172*q^2478+3020375*p^170*q^2480+55169276*p^168*q ^2482+905227886*p^166*q^2484+9528962156*p^164*q^2486+37972969796*p^162*q^2488+ 30817643018*p^160*q^2490+3882984186*p^158*q^2492+94140288*p^156*q^2494+591826*p ^154*q^2496+3852*p^152*q^2498+p^150*q^2500+1550*p^175*q^2474+1212*p^173*q^2476+ 651934*p^171*q^2478+8566642*p^169*q^2480+217520591*p^167*q^2482+3040401512*p^ 165*q^2484+21570727755*p^163*q^2486+45114422554*p^161*q^2488+15402237954*p^159* q^2490+921414330*p^157*q^2492+12184429*p^155*q^2494+41004*p^153*q^2496+27472*p^ 172*q^2476+3200584*p^170*q^2478+45723597*p^168*q^2480+785265444*p^166*q^2482+ 8624101157*p^164*q^2484+37919660750*p^162*q^2486+36234343815*p^160*q^2488+ 5420859576*p^158*q^2490+159935218*p^156*q^2492+1216564*p^154*q^2494+5166*p^152* q^2496+732*p^175*q^2472+1128*p^173*q^2474+503396*p^171*q^2476+7964551*p^169*q^ 2478+189708916*p^167*q^2480+2672468102*p^165*q^2482+20255747668*p^163*q^2484+ 48309877198*p^161*q^2486+19595056726*p^159*q^2488+1391912517*p^157*q^2490+ 20393262*p^155*q^2492+69529*p^153*q^2494+288*p^151*q^2496+5708*p^174*q^2472+ 18064*p^172*q^2474+2620772*p^170*q^2476+36385150*p^168*q^2478+679093971*p^166*q ^2480+7805476826*p^164*q^2482+37376308242*p^162*q^2484+42087002912*p^160*q^2486 +7378305174*p^158*q^2488+256594960*p^156*q^2490+2183135*p^154*q^2492+4464*p^152 *q^2494+54*p^175*q^2470+180*p^173*q^2472+245702*p^171*q^2474+8935212*p^169*q^ 2476+163270931*p^167*q^2478+2360287494*p^165*q^2480+18995235828*p^163*q^2482+ 50826716204*p^161*q^2484+24437952699*p^159*q^2486+2039356758*p^157*q^2488+ 36096653*p^155*q^2490+209730*p^153*q^2492+1296*p^151*q^2494+7098*p^174*q^2470+ 13510*p^172*q^2472+2419092*p^170*q^2474+29348354*p^168*q^2476+602573464*p^166*q ^2478+7024060832*p^164*q^2480+36514859850*p^162*q^2482+47606734073*p^160*q^2484 +9964838592*p^158*q^2486+417649020*p^156*q^2488+4212218*p^154*q^2490+5340*p^152 *q^2492+44*p^175*q^2468+12440*p^173*q^2470+172478*p^171*q^2472+8399450*p^169*q^ 2474+138415308*p^167*q^2476+2044752871*p^165*q^2478+17557163158*p^163*q^2480+ 52857593720*p^161*q^2482+30160246708*p^159*q^2484+2943123551*p^157*q^2486+ 60782974*p^155*q^2488+325448*p^153*q^2490+252*p^151*q^2492+1616*p^174*q^2468+ 5688*p^172*q^2470+1560822*p^170*q^2472+26197726*p^168*q^2474+522524348*p^166*q^ 2476+6331556618*p^164*q^2478+35426757686*p^162*q^2480+53474100134*p^160*q^2482+ 13065896021*p^158*q^2484+638102096*p^156*q^2486+6828476*p^154*q^2488+29264*p^ 152*q^2490+192*p^150*q^2492+33360*p^173*q^2468+112662*p^171*q^2470+8355676*p^ 169*q^2472+115288469*p^167*q^2474+1810110618*p^165*q^2476+16267600217*p^163*q^ 2478+53996491346*p^161*q^2480+36383133611*p^159*q^2482+4145720018*p^157*q^2484+ 106018632*p^155*q^2486+808898*p^153*q^2488+198*p^151*q^2490+1056*p^174*q^2466+ 18030*p^172*q^2468+1132468*p^170*q^2470+24895542*p^168*q^2472+458381262*p^166*q ^2474+5638364393*p^164*q^2476+33998413268*p^162*q^2478+58690063386*p^160*q^2480 +17063448154*p^158*q^2482+988946821*p^156*q^2484+12379770*p^154*q^2486+45940*p^ 152*q^2488+17862*p^173*q^2466+73048*p^171*q^2468+6933974*p^169*q^2470+94234754* p^167*q^2472+1580371790*p^165*q^2474+14919290380*p^163*q^2476+54804882870*p^161 *q^2478+43295873770*p^159*q^2480+5754429120*p^157*q^2482+168515006*p^155*q^2484 +1206789*p^153*q^2486+2864*p^151*q^2488+12*p^149*q^2490+116*p^174*q^2464+88164* p^172*q^2466+764638*p^170*q^2468+24115084*p^168*q^2470+396933814*p^166*q^2472+ 5029471706*p^164*q^2474+32403782906*p^162*q^2476+63803605146*p^160*q^2478+ 21734799751*p^158*q^2480+1454593914*p^156*q^2482+22679189*p^154*q^2484+118334*p ^152*q^2486+11344*p^173*q^2464+43800*p^171*q^2466+5396602*p^169*q^2468+81624422 *p^167*q^2470+1391773666*p^165*q^2472+13700855020*p^163*q^2474+54810566354*p^ 161*q^2476+50641926244*p^159*q^2478+7833182066*p^157*q^2480+276476226*p^155*q^ 2482+2144822*p^153*q^2484+6948*p^151*q^2486+60*p^174*q^2462+95554*p^172*q^2464+ 557372*p^170*q^2466+23199916*p^168*q^2468+338360780*p^166*q^2470+4470222132*p^ 164*q^2472+30693001012*p^162*q^2474+67870719068*p^160*q^2476+27442350020*p^158* q^2478+2126771350*p^156*q^2480+39148048*p^154*q^2482+239192*p^152*q^2484+156*p^ 150*q^2486+3804*p^173*q^2462+151860*p^171*q^2464+4148500*p^169*q^2466+72280534* p^167*q^2468+1223624695*p^165*q^2470+12442404096*p^163*q^2472+54361805525*p^161 *q^2474+58334420964*p^159*q^2476+10543226463*p^157*q^2478+436091716*p^155*q^ 2480+4004424*p^153*q^2482+10130*p^151*q^2484+40*p^174*q^2460+73410*p^172*q^2462 +335800*p^170*q^2464+19823834*p^168*q^2466+285165926*p^166*q^2468+3950207162*p^ 164*q^2470+28864350125*p^162*q^2472+71828393410*p^160*q^2474+33905281875*p^158* q^2476+3026299874*p^156*q^2478+63708128*p^154*q^2480+315742*p^152*q^2482+972*p^ 150*q^2484+1096*p^173*q^2460+284086*p^171*q^2462+3049606*p^169*q^2464+68445057* p^167*q^2466+1076643308*p^165*q^2468+11365146483*p^163*q^2470+53377692846*p^161 *q^2472+66052216315*p^159*q^2474+13892242226*p^157*q^2476+666203228*p^155*q^ 2478+8019608*p^153*q^2480+46236*p^151*q^2482+44088*p^172*q^2460+315338*p^170*q^ 2462+17279294*p^168*q^2464+242877152*p^166*q^2466+3513504099*p^164*q^2468+ 26975502052*p^162*q^2470+74348351556*p^160*q^2472+41484033582*p^158*q^2474+ 4271544027*p^156*q^2476+111674868*p^154*q^2478+604205*p^152*q^2480+312*p^150*q^ 2482+1156*p^173*q^2458+304090*p^171*q^2460+2284948*p^169*q^2462+61983098*p^167* q^2464+934685661*p^165*q^2466+10199049446*p^163*q^2468+52061499483*p^161*q^2470 +73718666308*p^159*q^2472+18194635130*p^157*q^2474+999034624*p^155*q^2476+ 12670596*p^153*q^2478+46100*p^151*q^2480+102*p^149*q^2482+14220*p^172*q^2458+ 566726*p^170*q^2460+13310228*p^168*q^2462+211928751*p^166*q^2464+3101097164*p^ 164*q^2466+25186422373*p^162*q^2468+76638342236*p^160*q^2470+49741974699*p^158* q^2472+5861506938*p^156*q^2474+176110655*p^154*q^2476+1316106*p^152*q^2478+6120 *p^150*q^2480+104*p^173*q^2456+266926*p^171*q^2458+1535146*p^169*q^2460+ 57503754*p^167*q^2462+807286074*p^165*q^2464+9255273068*p^163*q^2466+ 50189590760*p^161*q^2468+81124797431*p^159*q^2470+23256783846*p^157*q^2472+ 1477635173*p^155*q^2474+24047052*p^153*q^2476+83186*p^151*q^2478+14356*p^172*q^ 2456+827484*p^170*q^2458+11087966*p^168*q^2460+189535452*p^166*q^2462+ 2760243339*p^164*q^2464+23293667878*p^162*q^2466+77677384196*p^160*q^2468+ 58904296214*p^158*q^2470+8036398250*p^156*q^2472+283495932*p^154*q^2474+2357076 *p^152*q^2476+8712*p^150*q^2478+6*p^148*q^2480+92*p^173*q^2454+129296*p^171*q^ 2456+1379238*p^169*q^2458+48663958*p^167*q^2460+690208692*p^165*q^2462+ 8252486246*p^163*q^2464+48227613870*p^161*q^2466+87759265646*p^159*q^2468+ 29631636823*p^157*q^2470+2119209772*p^155*q^2472+39606674*p^153*q^2474+162844*p ^151*q^2476+372*p^149*q^2478+12*p^176*q^2450+3884*p^172*q^2454+985394*p^170*q^ 2456+8304088*p^168*q^2458+172218782*p^166*q^2460+2439344420*p^164*q^2462+ 21525129966*p^162*q^2464+78393080254*p^160*q^2466+68611899549*p^158*q^2468+ 10726599350*p^156*q^2470+436042584*p^154*q^2472+4268606*p^152*q^2474+9550*p^150 *q^2476+36*p^173*q^2452+105488*p^171*q^2454+1783418*p^169*q^2456+41637800*p^167 *q^2458+601357682*p^165*q^2460+7420320934*p^163*q^2462+45939758238*p^161*q^2464 +93872573361*p^159*q^2466+36814624786*p^157*q^2468+3021862034*p^155*q^2470+ 68199250*p^153*q^2472+382572*p^151*q^2474+1692*p^149*q^2476+1856*p^172*q^2452+ 720692*p^170*q^2454+6108938*p^168*q^2456+156119554*p^166*q^2458+2133726178*p^ 164*q^2460+19790228904*p^162*q^2462+77819686145*p^160*q^2464+78908569906*p^158* q^2466+14271041436*p^156*q^2468+664776492*p^154*q^2470+7851282*p^152*q^2472+ 18154*p^150*q^2474+196*p^175*q^2448+36*p^173*q^2450+55584*p^171*q^2452+2517952* p^169*q^2454+35269360*p^167*q^2456+525533134*p^165*q^2458+6655386776*p^163*q^ 2460+43553632860*p^161*q^2462+98992999154*p^159*q^2464+45476159087*p^157*q^2466 +4213508176*p^155*q^2468+110374680*p^153*q^2470+654746*p^151*q^2472+726*p^149*q ^2474+984*p^172*q^2450+551600*p^170*q^2452+5102852*p^168*q^2454+135150504*p^166 *q^2456+1860982356*p^164*q^2458+18012766132*p^162*q^2460+77111529836*p^160*q^ 2462+89090625057*p^158*q^2464+18666824410*p^156*q^2466+979052911*p^154*q^2468+ 13451452*p^152*q^2470+43178*p^150*q^2472+216*p^148*q^2474+20*p^175*q^2446+22834 *p^171*q^2450+2538904*p^169*q^2452+27823426*p^167*q^2454+473447640*p^165*q^2456 +5964932682*p^163*q^2458+41193532024*p^161*q^2460+103434883934*p^159*q^2462+ 55008237008*p^157*q^2464+5786931626*p^155*q^2466+178056424*p^153*q^2468+1371873 *p^151*q^2470+2244*p^149*q^2472+1336*p^174*q^2446+916*p^172*q^2448+419196*p^170 *q^2450+5944258*p^168*q^2452+121053614*p^166*q^2454+1624916815*p^164*q^2456+ 16458763180*p^162*q^2458+75199785549*p^160*q^2460+99330098854*p^158*q^2462+ 24097085841*p^156*q^2464+1446957736*p^154*q^2466+24565066*p^152*q^2468+94300*p^ 150*q^2470+24*p^148*q^2472+15056*p^171*q^2448+2174878*p^169*q^2450+21339692*p^ 167*q^2452+415833182*p^165*q^2454+5289501960*p^163*q^2456+38558253683*p^161*q^ 2458+106510578926*p^159*q^2460+66190667211*p^157*q^2462+7898764416*p^155*q^2464 +275318409*p^153*q^2466+2167678*p^151*q^2468+2880*p^149*q^2470+12*p^147*q^2472+ 624*p^174*q^2444+144*p^172*q^2446+207026*p^170*q^2448+6602012*p^168*q^2450+ 103460403*p^166*q^2452+1425111118*p^164*q^2454+14958314819*p^162*q^2456+ 73518836546*p^160*q^2458+109189440898*p^158*q^2460+30642145702*p^156*q^2462+ 2037720751*p^154*q^2464+39655898*p^152*q^2466+198715*p^150*q^2468+228*p^148*q^ 2470+4932*p^173*q^2444+10736*p^171*q^2446+1968670*p^169*q^2448+18695656*p^167*q ^2450+372371110*p^165*q^2452+4709876496*p^163*q^2454+36023836298*p^161*q^2456+ 108769195262*p^159*q^2458+77639572574*p^157*q^2460+10627974114*p^155*q^2462+ 429086314*p^153*q^2464+4771779*p^151*q^2466+10828*p^149*q^2468+44*p^174*q^2442+ 64*p^172*q^2444+145966*p^170*q^2446+6582146*p^168*q^2448+85632724*p^166*q^2450+ 1260657761*p^164*q^2452+13570774780*p^162*q^2454+70793284799*p^160*q^2456+ 118605952388*p^158*q^2458+38648290118*p^156*q^2460+2897364214*p^154*q^2462+ 67248162*p^152*q^2464+312512*p^150*q^2466+144*p^148*q^2468+6104*p^173*q^2442+ 4700*p^171*q^2444+1298432*p^169*q^2446+17829982*p^167*q^2448+329775434*p^165*q^ 2450+4141282706*p^163*q^2452+33451171389*p^161*q^2454+109804420772*p^159*q^2456 +90598828192*p^157*q^2458+14087866284*p^155*q^2460+635021628*p^153*q^2462+ 7499754*p^151*q^2464+23783*p^149*q^2466+12*p^147*q^2468+36*p^174*q^2440+10736*p ^172*q^2442+90406*p^170*q^2444+6548694*p^168*q^2446+70030602*p^166*q^2448+ 1111879128*p^164*q^2450+12274645902*p^162*q^2452+68265276574*p^160*q^2454+ 126879642187*p^158*q^2456+48034774352*p^156*q^2458+4008412383*p^154*q^2460+ 108125326*p^152*q^2462+737570*p^150*q^2464+624*p^148*q^2466+1360*p^173*q^2440+ 1622*p^171*q^2442+955124*p^169*q^2444+17565287*p^167*q^2446+289907146*p^165*q^ 2448+3677003745*p^163*q^2450+30967918888*p^161*q^2452+110153532807*p^159*q^2454 +103553789678*p^157*q^2456+18464943623*p^155*q^2458+935846498*p^153*q^2460+ 13730023*p^151*q^2462+43430*p^149*q^2464+6*p^147*q^2466+28836*p^172*q^2440+ 59648*p^170*q^2442+5511976*p^168*q^2444+60626960*p^166*q^2446+988866774*p^164*q ^2448+11058048880*p^162*q^2450+65034942481*p^160*q^2452+134459218986*p^158*q^ 2454+58758125033*p^156*q^2456+5556058740*p^154*q^2458+172782652*p^152*q^2460+ 1347558*p^150*q^2462+2595*p^148*q^2464+884*p^173*q^2438+14896*p^171*q^2440+ 630934*p^169*q^2442+17941478*p^167*q^2444+246647789*p^165*q^2446+3243320088*p^ 163*q^2448+28570694122*p^161*q^2450+109225896716*p^159*q^2452+117425474831*p^ 157*q^2454+24025778990*p^155*q^2456+1341953427*p^153*q^2458+23475470*p^151*q^ 2460+80956*p^149*q^2462+15272*p^172*q^2438+26060*p^170*q^2440+4447042*p^168*q^ 2442+52758330*p^166*q^2444+877116484*p^164*q^2446+9908139725*p^162*q^2448+ 61894430596*p^160*q^2450+140661551602*p^158*q^2452+71206424226*p^156*q^2454+ 7487647171*p^154*q^2456+263127206*p^152*q^2458+2171442*p^150*q^2460+4896*p^148* q^2462+92*p^173*q^2436+75960*p^171*q^2438+450608*p^169*q^2440+17102266*p^167*q^ 2442+211910476*p^165*q^2444+2885203341*p^163*q^2446+26288599664*p^161*q^2448+ 108128345010*p^159*q^2450+130506511252*p^157*q^2452+30756690036*p^155*q^2454+ 1910258612*p^153*q^2456+40076382*p^151*q^2458+238552*p^149*q^2460+240*p^147*q^ 2462+9592*p^172*q^2436+26088*p^170*q^2438+3413674*p^168*q^2440+50191822*p^166*q ^2442+778498049*p^164*q^2444+8880113218*p^162*q^2446+58401750205*p^160*q^2448+ 145579736384*p^158*q^2450+84831602156*p^156*q^2452+10137144632*p^154*q^2454+ 404013740*p^152*q^2456+4430040*p^150*q^2458+6458*p^148*q^2460+48*p^173*q^2434+ 82668*p^171*q^2436+275968*p^169*q^2438+15520432*p^167*q^2440+179397958*p^165*q^ 2442+2546156350*p^163*q^2444+24059310171*p^161*q^2446+105581702482*p^159*q^2448 +144326171284*p^157*q^2450+39016114726*p^155*q^2452+2681921018*p^153*q^2454+ 63291844*p^151*q^2456+266924*p^149*q^2458+348*p^147*q^2460+3172*p^172*q^2434+ 122324*p^170*q^2436+2480332*p^168*q^2438+46849900*p^166*q^2440+678351882*p^164* q^2442+7939486452*p^162*q^2444+55068319268*p^160*q^2446+149391705750*p^158*q^ 2448+99974344950*p^156*q^2450+13417628239*p^154*q^2452+582914508*p^152*q^2454+ 7808271*p^150*q^2456+34012*p^148*q^2458+12*p^146*q^2460+32*p^173*q^2432+62020*p ^171*q^2434+161660*p^169*q^2436+13595540*p^167*q^2438+158998918*p^165*q^2440+ 2278097505*p^163*q^2442+21975158016*p^161*q^2444+103124188166*p^159*q^2446+ 156243804822*p^157*q^2448+48853258750*p^155*q^2450+3711912092*p^153*q^2452+ 105541667*p^151*q^2454+678502*p^149*q^2456+466*p^147*q^2458+872*p^172*q^2432+ 248516*p^170*q^2434+1888830*p^168*q^2436+44909186*p^166*q^2438+589343872*p^164* q^2440+7093991958*p^162*q^2442+51481191192*p^160*q^2444+151838750582*p^158*q^ 2446+115981713348*p^156*q^2448+17764087006*p^154*q^2450+859675158*p^152*q^2452+ 13295648*p^150*q^2454+35588*p^148*q^2456+12*p^146*q^2458+37428*p^171*q^2432+ 187510*p^169*q^2434+10734016*p^167*q^2436+139728284*p^165*q^2438+2015440438*p^ 163*q^2440+19946988326*p^161*q^2442+99570995574*p^159*q^2444+168443425680*p^157 *q^2446+60443385984*p^155*q^2448+5091890295*p^153*q^2450+159257576*p^151*q^2452 +1262951*p^149*q^2454+3020*p^147*q^2456+948*p^172*q^2430+254262*p^170*q^2432+ 1196880*p^168*q^2434+42142364*p^166*q^2436+513790064*p^164*q^2438+6325146074*p^ 162*q^2440+48212883672*p^160*q^2442+152978652054*p^158*q^2444+133208738506*p^ 156*q^2446+23035802338*p^154*q^2448+1217447420*p^152*q^2450+22560162*p^150*q^ 2452+72038*p^148*q^2454+24*p^146*q^2456+11636*p^171*q^2430+478588*p^169*q^2432+ 8984280*p^167*q^2434+127566160*p^165*q^2436+1783739435*p^163*q^2438+18133659140 *p^161*q^2440+95969528911*p^159*q^2442+178478311798*p^157*q^2444+73836596136*p^ 155*q^2446+6929722896*p^153*q^2448+244251874*p^151*q^2450+2487820*p^149*q^2452+ 6394*p^147*q^2454+80*p^172*q^2428+226756*p^170*q^2430+790746*p^168*q^2432+ 37008678*p^166*q^2434+448908049*p^164*q^2436+5663828338*p^162*q^2438+ 44658918641*p^160*q^2440+153273054056*p^158*q^2442+150276987209*p^156*q^2444+ 29832940524*p^154*q^2446+1722350112*p^152*q^2448+38327846*p^150*q^2450+170211*p ^148*q^2452+120*p^146*q^2454+11952*p^171*q^2428+680032*p^169*q^2430+6750654*p^ 167*q^2432+119140804*p^165*q^2434+1568037714*p^163*q^2436+16384225920*p^161*q^ 2438+91757525652*p^159*q^2440+187953237914*p^157*q^2442+89153828084*p^155*q^ 2444+9331214726*p^153*q^2446+362477910*p^151*q^2448+4005145*p^149*q^2450+4284*p ^147*q^2452+72*p^172*q^2426+108130*p^170*q^2428+921422*p^168*q^2430+32584306*p^ 166*q^2432+389991578*p^164*q^2434+5041621496*p^162*q^2436+41413482860*p^160*q^ 2438+152082413278*p^158*q^2440+168449358536*p^156*q^2442+37927526569*p^154*q^ 2444+2392986206*p^152*q^2446+59884750*p^150*q^2448+369308*p^148*q^2450+981*p^ 146*q^2452+3152*p^171*q^2426+815976*p^169*q^2428+4701736*p^167*q^2430+108483710 *p^165*q^2432+1388578167*p^163*q^2434+14818700510*p^161*q^2436+87713531009*p^ 159*q^2438+195219788992*p^157*q^2440+106147583254*p^155*q^2442+12402722750*p^ 153*q^2444+526938256*p^151*q^2446+7652696*p^149*q^2448+18584*p^147*q^2450+28*p^ 172*q^2424+88588*p^170*q^2426+1399990*p^168*q^2428+28008486*p^166*q^2430+ 353778956*p^164*q^2432+4496934098*p^162*q^2434+38177997579*p^160*q^2436+ 150116477690*p^158*q^2438+185267880509*p^156*q^2440+48035247330*p^154*q^2442+ 3341736622*p^152*q^2444+97005036*p^150*q^2446+701712*p^148*q^2448+84*p^146*q^ 2450+10*p^175*q^2420+1440*p^171*q^2424+604498*p^169*q^2426+3462508*p^167*q^2428 +99155690*p^165*q^2430+1204541382*p^163*q^2432+13331874385*p^161*q^2434+ 82876869640*p^159*q^2436+201911810747*p^157*q^2438+124916714968*p^155*q^2440+ 16441888736*p^153*q^2442+750407466*p^151*q^2444+12362597*p^149*q^2446+34856*p^ 147*q^2448+94*p^145*q^2450+28*p^172*q^2422+46418*p^170*q^2424+1932052*p^168*q^ 2426+22040898*p^166*q^2428+312576230*p^164*q^2430+4004663688*p^162*q^2432+ 35171510928*p^160*q^2434+147314714828*p^158*q^2436+202582489736*p^156*q^2438+ 59749766752*p^154*q^2440+4531324224*p^152*q^2442+143887840*p^150*q^2444+1180832 *p^148*q^2446+1384*p^146*q^2448+728*p^171*q^2422+461784*p^169*q^2424+3541386*p^ 167*q^2426+90837126*p^165*q^2428+1076221164*p^163*q^2430+12026418292*p^161*q^ 2432+78481184539*p^159*q^2434+205909760324*p^157*q^2436+145131067090*p^155*q^ 2438+21441858062*p^153*q^2440+1077486002*p^151*q^2442+22514652*p^149*q^2444+ 122982*p^147*q^2446+164*p^174*q^2418+18444*p^170*q^2422+2082956*p^168*q^2424+ 16669904*p^166*q^2426+283772154*p^164*q^2428+3541252340*p^162*q^2430+ 32164996273*p^160*q^2432+143737408524*p^158*q^2434+217816209622*p^156*q^2436+ 73978692108*p^154*q^2438+6202154225*p^152*q^2440+216614352*p^150*q^2442+2119416 *p^148*q^2444+1688*p^146*q^2446+4*p^144*q^2448+748*p^171*q^2420+354604*p^169*q^ 2422+3983728*p^167*q^2424+79368173*p^165*q^2426+944960460*p^163*q^2428+ 10807350039*p^161*q^2430+73660412584*p^159*q^2432+209412371809*p^157*q^2434+ 166467054276*p^155*q^2436+27850876191*p^153*q^2438+1497818416*p^151*q^2440+ 34739220*p^149*q^2442+157794*p^147*q^2444+48*p^145*q^2446+16*p^174*q^2416+11370 *p^170*q^2420+1766456*p^168*q^2422+13469352*p^166*q^2424+260088230*p^164*q^2426 +3139749842*p^162*q^2428+29447408518*p^160*q^2430+139281735109*p^158*q^2432+ 233121827436*p^156*q^2434+89910279089*p^154*q^2436+8317365238*p^152*q^2438+ 314696051*p^150*q^2440+4187250*p^148*q^2442+14930*p^146*q^2444+1122*p^173*q^ 2416+108*p^171*q^2418+173224*p^169*q^2420+5012536*p^167*q^2422+66432672*p^165*q ^2424+835354087*p^163*q^2426+9708460850*p^161*q^2428+69173838565*p^159*q^2430+ 210626633784*p^157*q^2432+188677644494*p^155*q^2434+35702497636*p^153*q^2436+ 2091619905*p^151*q^2438+55306820*p^149*q^2440+289918*p^147*q^2442+30*p^145*q^ 2444+8712*p^170*q^2418+1659102*p^168*q^2420+11795190*p^166*q^2422+238367486*p^ 164*q^2424+2799468978*p^162*q^2426+26835715323*p^160*q^2428+134513033014*p^158* q^2430+245424081898*p^156*q^2432+108664975982*p^154*q^2434+11121669768*p^152*q^ 2436+457744658*p^150*q^2438+7552074*p^148*q^2440+26806*p^146*q^2442+516*p^173*q ^2414+48*p^171*q^2416+115997*p^169*q^2418+5026454*p^167*q^2420+53953120*p^165*q ^2422+744238302*p^163*q^2424+8660861897*p^161*q^2426+64336969396*p^159*q^2428+ 211147263338*p^157*q^2430+211110395494*p^155*q^2432+45514082020*p^153*q^2434+ 2886797684*p^151*q^2436+83793442*p^149*q^2438+565628*p^147*q^2440+794*p^145*q^ 2442+4156*p^172*q^2414+3664*p^170*q^2416+1097020*p^168*q^2418+11803362*p^166*q^ 2420+213260140*p^164*q^2422+2470092386*p^162*q^2424+24464831416*p^160*q^2426+ 129177838826*p^158*q^2428+257683897774*p^156*q^2430+129159738298*p^154*q^2432+ 14677640092*p^152*q^2434+642842037*p^150*q^2436+11814022*p^148*q^2438+28976*p^ 146*q^2440+34*p^173*q^2412+24*p^171*q^2414+71320*p^169*q^2416+5264566*p^167*q^ 2418+44941266*p^165*q^2420+674965015*p^163*q^2422+7770418442*p^161*q^2424+ 59991292922*p^159*q^2426+209537705284*p^157*q^2428+233817885971*p^155*q^2430+ 57018030010*p^153*q^2432+3953108691*p^151*q^2434+126995014*p^149*q^2436+1405426 *p^147*q^2438+4674*p^145*q^2440+5110*p^172*q^2412+1148*p^170*q^2414+793013*p^ 168*q^2416+12322788*p^166*q^2418+186119462*p^164*q^2420+2189919950*p^162*q^2422 +22182482838*p^160*q^2424+123546388184*p^158*q^2426+266550242663*p^156*q^2428+ 152261213352*p^154*q^2430+19371835232*p^152*q^2432+916275304*p^150*q^2434+ 20183420*p^148*q^2436+52278*p^146*q^2438+28*p^173*q^2410+9072*p^171*q^2412+ 47998*p^169*q^2414+4581588*p^167*q^2416+38023548*p^165*q^2418+611732898*p^163*q ^2420+6935833807*p^161*q^2422+55437918142*p^159*q^2424+207452950893*p^157*q^ 2426+255621055958*p^155*q^2428+71295108467*p^153*q^2430+5343766794*p^151*q^2432 +184278219*p^149*q^2434+2130534*p^147*q^2436+2234*p^145*q^2438+1104*p^172*q^ 2410+732*p^170*q^2412+497380*p^168*q^2414+12889272*p^166*q^2416+158537918*p^164 *q^2418+1935789581*p^162*q^2420+20084437366*p^160*q^2422+117533529107*p^158*q^ 2424+275350198768*p^156*q^2426+176694846891*p^154*q^2428+25132330268*p^152*q^ 2430+1268678527*p^150*q^2432+30630738*p^148*q^2434+191979*p^146*q^2436+504*p^ 144*q^2438+24312*p^171*q^2410+18808*p^169*q^2412+3732565*p^167*q^2414+34869396* p^165*q^2416+554778868*p^163*q^2418+6220010996*p^161*q^2420+51425344369*p^159*q ^2422+203639011686*p^157*q^2424+276933470560*p^155*q^2426+87504993036*p^153*q^ 2428+7207708368*p^151*q^2430+269601378*p^149*q^2432+4171719*p^147*q^2434+3302*p ^145*q^2436+712*p^172*q^2408+12204*p^170*q^2410+367330*p^168*q^2412+13435242*p^ 166*q^2414+135321012*p^164*q^2416+1738856028*p^162*q^2418+18120274218*p^160*q^ 2420+111411999316*p^158*q^2422+280293518576*p^156*q^2424+203509907094*p^154*q^ 2426+32502329802*p^152*q^2428+1781959656*p^150*q^2430+48287474*p^148*q^2432+ 345322*p^146*q^2434+192*p^144*q^2436+12658*p^171*q^2408+11474*p^169*q^2410+ 2764116*p^167*q^2412+32079340*p^165*q^2414+491084036*p^163*q^2416+5507424995*p^ 161*q^2418+47240634906*p^159*q^2420+199412737518*p^157*q^2422+296737429682*p^ 155*q^2424+106945409524*p^153*q^2426+9638238578*p^151*q^2428+375808781*p^149*q^ 2430+6488698*p^147*q^2432+15319*p^145*q^2434+24*p^143*q^2436+68*p^172*q^2406+ 64596*p^170*q^2408+209448*p^168*q^2410+12462824*p^166*q^2412+117184514*p^164*q^ 2414+1561479592*p^162*q^2416+16413829840*p^160*q^2418+105156651376*p^158*q^2420 +285342075626*p^156*q^2422+230462767654*p^154*q^2424+41546152548*p^152*q^2426+ 2418056787*p^150*q^2428+73043318*p^148*q^2430+664974*p^146*q^2432+120*p^144*q^ 2434+7880*p^171*q^2406+14336*p^169*q^2408+2017188*p^167*q^2410+33019434*p^165*q ^2412+432998896*p^163*q^2414+4921195042*p^161*q^2416+43445583967*p^159*q^2418+ 193699207520*p^157*q^2420+315508279408*p^155*q^2422+128523621662*p^153*q^2424+ 12791207271*p^151*q^2426+541994722*p^149*q^2428+10837956*p^147*q^2430+49556*p^ 145*q^2432+12*p^143*q^2434+36*p^172*q^2404+68840*p^170*q^2406+117884*p^168*q^ 2408+11132498*p^166*q^2410+100410534*p^164*q^2412+1409299960*p^162*q^2414+ 14774317350*p^160*q^2416+99035221598*p^158*q^2418+286849437285*p^156*q^2420+ 259222907280*p^154*q^2422+52673502708*p^152*q^2424+3328910024*p^150*q^2426+ 106165948*p^148*q^2428+1265926*p^146*q^2430+464*p^144*q^2432+2540*p^171*q^2404+ 106466*p^169*q^2406+1492732*p^167*q^2408+32762171*p^165*q^2410+380784778*p^163* q^2412+4387879228*p^161*q^2414+39691748316*p^159*q^2416+187735108824*p^157*q^ 2418+331484184828*p^155*q^2420+153606622591*p^153*q^2422+16847200206*p^151*q^ 2424+756722438*p^149*q^2426+17509008*p^147*q^2428+75932*p^145*q^2430+24*p^172*q ^2402+51590*p^170*q^2404+66068*p^168*q^2406+8663504*p^166*q^2408+89763222*p^164 *q^2410+1255391474*p^162*q^2412+13272941932*p^160*q^2414+92741002719*p^158*q^ 2416+288183683010*p^156*q^2418+287634471102*p^154*q^2420+66121969688*p^152*q^ 2422+4488512763*p^150*q^2424+150373320*p^148*q^2426+1999303*p^146*q^2428+5032*p ^144*q^2430+648*p^171*q^2402+204578*p^169*q^2404+910060*p^167*q^2406+32724884*p ^165*q^2408+332099691*p^163*q^2410+3941804224*p^161*q^2412+36420541514*p^159*q^ 2414+180781890458*p^157*q^2416+346953933434*p^155*q^2418+180093983420*p^153*q^ 2420+22020841810*p^151*q^2422+1050487938*p^149*q^2424+27698314*p^147*q^2426+ 210228*p^145*q^2428+30820*p^170*q^2402+153476*p^168*q^2404+7254200*p^166*q^2406 +84917317*p^164*q^2408+1130062936*p^162*q^2410+11929638218*p^160*q^2412+ 86628690732*p^158*q^2414+286183642150*p^156*q^2416+316093763712*p^154*q^2418+ 82319195109*p^152*q^2420+6083373980*p^150*q^2422+222328212*p^148*q^2424+3679226 *p^146*q^2426+6838*p^144*q^2428+740*p^171*q^2400+211078*p^169*q^2402+561520*p^ 167*q^2404+29171418*p^165*q^2406+285286988*p^163*q^2408+3512996432*p^161*q^2410 +33080955532*p^159*q^2412+173624072186*p^157*q^2414+358896060996*p^155*q^2416+ 210770939179*p^153*q^2418+28550476916*p^151*q^2420+1449328114*p^149*q^2422+ 39359238*p^147*q^2424+305580*p^145*q^2426+252*p^143*q^2428+9128*p^170*q^2400+ 380600*p^168*q^2402+5215632*p^166*q^2404+82198170*p^164*q^2406+1002700277*p^162 *q^2408+10725408168*p^160*q^2410+80606441192*p^158*q^2412+284532822490*p^156*q^ 2414+343482867946*p^154*q^2416+101160428078*p^152*q^2418+8083471689*p^150*q^ 2420+307702448*p^148*q^2422+6016129*p^146*q^2424+24112*p^144*q^2426+56*p^171*q^ 2398+189182*p^169*q^2400+457801*p^167*q^2402+26084758*p^165*q^2404+252801441*p^ 163*q^2406+3170098328*p^161*q^2408+30167878777*p^159*q^2410+165824800966*p^157* q^2412+369694923697*p^155*q^2414+241651939188*p^153*q^2416+36803323334*p^151*q^ 2418+1998322684*p^149*q^2420+60330342*p^147*q^2422+689034*p^145*q^2424+546*p^ 143*q^2426+9548*p^170*q^2398+544330*p^168*q^2400+3652740*p^166*q^2402+80035744* p^164*q^2404+888081070*p^162*q^2406+9606493822*p^160*q^2408+74872564378*p^158*q ^2410+279453038643*p^156*q^2412+370892857278*p^154*q^2414+123253021312*p^152*q^ 2416+10804919812*p^150*q^2418+437140311*p^148*q^2420+9574860*p^146*q^2422+41446 *p^144*q^2424+52*p^171*q^2396+88748*p^169*q^2398+689276*p^167*q^2400+21814889*p ^165*q^2402+224915172*p^163*q^2404+2832544139*p^161*q^2406+27353112872*p^159*q^ 2408+157871771588*p^157*q^2410+377416372832*p^155*q^2412+275883452413*p^153*q^ 2414+46931554728*p^151*q^2416+2713718907*p^149*q^2418+85182762*p^147*q^2420+ 1075309*p^145*q^2422+1502*p^143*q^2424+2420*p^170*q^2396+679328*p^168*q^2398+ 2469987*p^166*q^2400+75160536*p^164*q^2402+781313958*p^162*q^2404+8635712200*p^ 160*q^2406+69156708298*p^158*q^2408+274972641346*p^156*q^2410+395325460047*p^ 154*q^2412+148776323188*p^152*q^2414+14204606223*p^150*q^2416+605325704*p^148*q ^2418+14848145*p^146*q^2420+102458*p^144*q^2422+24*p^142*q^2424+20*p^171*q^2394 +71806*p^169*q^2396+981768*p^167*q^2398+17264660*p^165*q^2400+210222523*p^163*q ^2402+2543016064*p^161*q^2404+24852474585*p^159*q^2406+149637636482*p^157*q^ 2408+383990463729*p^155*q^2410+309887763228*p^153*q^2412+59347796716*p^151*q^ 2414+3676050690*p^149*q^2416+123743046*p^147*q^2418+1919016*p^145*q^2420+4826*p ^143*q^2422+1004*p^170*q^2394+501108*p^168*q^2396+2311640*p^166*q^2398+69545731 *p^164*q^2400+686015628*p^162*q^2402+7762320413*p^160*q^2404+63875573920*p^158* q^2406+267630919021*p^156*q^2408+419336864472*p^154*q^2410+177062153973*p^152*q ^2412+18740508908*p^150*q^2414+848861342*p^148*q^2416+22396238*p^146*q^2418+ 195377*p^144*q^2420+48*p^142*q^2422+20*p^171*q^2392+37452*p^169*q^2394+1553762* p^167*q^2396+12691051*p^165*q^2398+197199134*p^163*q^2400+2277190770*p^161*q^ 2402+22423664936*p^159*q^2404+141400992176*p^157*q^2406+386900368300*p^155*q^ 2408+346523813530*p^153*q^2410+74462178192*p^151*q^2412+4949953708*p^149*q^2414 +172581842*p^147*q^2416+3214636*p^145*q^2418+9278*p^143*q^2420+8*p^174*q^2388+ 508*p^170*q^2392+382020*p^168*q^2394+2105552*p^166*q^2396+60932872*p^164*q^2398 +604967355*p^162*q^2400+6944405896*p^160*q^2402+58737593896*p^158*q^2404+ 260729378816*p^156*q^2406+440250180684*p^154*q^2408+209096892416*p^152*q^2410+ 24304676885*p^150*q^2412+1154775354*p^148*q^2414+32363551*p^146*q^2416+275404*p ^144*q^2418+316*p^142*q^2420+13248*p^169*q^2392+1686890*p^167*q^2394+10182622*p ^165*q^2396+187628806*p^163*q^2398+2027381934*p^161*q^2400+20383956025*p^159*q^ 2402+133025789062*p^157*q^2404+389392186483*p^155*q^2406+381100203356*p^153*q^ 2408+92516648557*p^151*q^2410+6626357290*p^149*q^2412+246196657*p^147*q^2414+ 5394120*p^145*q^2416+38393*p^143*q^2418+580*p^170*q^2390+293444*p^168*q^2392+ 2806668*p^166*q^2394+51069044*p^164*q^2396+546031936*p^162*q^2398+6270886303*p^ 160*q^2400+53909403426*p^158*q^2402+251570523633*p^156*q^2404+459798007798*p^ 154*q^2406+243543001889*p^152*q^2408+31582630872*p^150*q^2410+1595747364*p^148* q^2412+47892504*p^146*q^2414+575830*p^144*q^2416+304*p^142*q^2418+132*p^173*q^ 2386+8300*p^169*q^2390+1467010*p^167*q^2392+8275568*p^165*q^2394+174260164*p^ 163*q^2396+1794056785*p^161*q^2398+18289416568*p^159*q^2400+124838001472*p^157* q^2402+388072105782*p^155*q^2404+417943612383*p^153*q^2406+113885770786*p^151*q ^2408+8826441011*p^149*q^2410+341758602*p^147*q^2412+7690461*p^145*q^2414+30972 *p^143*q^2416+72*p^170*q^2388+132796*p^168*q^2390+3771430*p^166*q^2392+40833488 *p^164*q^2394+498374879*p^162*q^2396+5625681192*p^160*q^2398+49447720501*p^158* q^2400+243007131696*p^156*q^2402+475971350983*p^154*q^2404+281608690994*p^152*q ^2406+40331541215*p^150*q^2408+2151462196*p^148*q^2410+66154493*p^146*q^2412+ 1089122*p^144*q^2414+5574*p^142*q^2416+12*p^173*q^2384+6798*p^169*q^2388+ 1387536*p^167*q^2390+7075216*p^165*q^2392+159848755*p^163*q^2394+1595259310*p^ 161*q^2396+16574191321*p^159*q^2398+116549199598*p^157*q^2400+386389002755*p^ 155*q^2402+451404881226*p^153*q^2404+138669088982*p^151*q^2406+11717194882*p^ 149*q^2408+478193613*p^147*q^2410+12554822*p^145*q^2412+75422*p^143*q^2414+908* p^172*q^2384+32*p^170*q^2386+87632*p^168*q^2388+3976768*p^166*q^2390+34704298*p ^164*q^2392+463173910*p^162*q^2394+5052592958*p^160*q^2396+45203885176*p^158*q^ 2398+232688179761*p^156*q^2400+490692939550*p^154*q^2402+320890145558*p^152*q^ 2404+51679024122*p^150*q^2406+2921896877*p^148*q^2408+96377756*p^146*q^2410+ 1698592*p^144*q^2412+5566*p^142*q^2414+2604*p^169*q^2386+888626*p^167*q^2388+ 7828572*p^165*q^2390+137202984*p^163*q^2392+1414023983*p^161*q^2394+14908758362 *p^159*q^2396+108714874295*p^157*q^2398+381120778706*p^155*q^2400+486462027099* p^153*q^2402+167274862402*p^151*q^2404+15388766492*p^149*q^2406+657136312*p^147 *q^2408+17116960*p^145*q^2410+166238*p^143*q^2412+372*p^141*q^2414+408*p^172*q^ 2382+16*p^170*q^2384+55232*p^168*q^2386+4357744*p^166*q^2388+27387698*p^164*q^ 2390+432393018*p^162*q^2392+4521749492*p^160*q^2394+41204394678*p^158*q^2396+ 222826674458*p^156*q^2398+501793812152*p^154*q^2400+363397651480*p^152*q^2402+ 65023373726*p^150*q^2404+3927113626*p^148*q^2406+133415348*p^146*q^2408+2801908 *p^144*q^2410+5906*p^142*q^2412+3380*p^171*q^2382+778*p^169*q^2384+614814*p^167 *q^2386+8484670*p^165*q^2388+120970342*p^163*q^2390+1272237100*p^161*q^2392+ 13497776929*p^159*q^2394+101022625528*p^157*q^2396+376051544063*p^155*q^2398+ 516685168598*p^153*q^2400+199792277382*p^151*q^2402+20123994422*p^149*q^2404+ 903973286*p^147*q^2406+25559098*p^145*q^2408+334261*p^143*q^2410+1308*p^141*q^ 2412+24*p^172*q^2380+16*p^170*q^2382+35574*p^168*q^2384+3772696*p^166*q^2386+ 23843866*p^164*q^2388+393539454*p^162*q^2390+4038962425*p^160*q^2392+ 37516434076*p^158*q^2394+211663974428*p^156*q^2396+511122915036*p^154*q^2398+ 406068229820*p^152*q^2400+81717751940*p^150*q^2402+5291166410*p^148*q^2404+ 189247876*p^146*q^2406+4320664*p^144*q^2408+17876*p^142*q^2410+4116*p^171*q^ 2380+488*p^169*q^2382+389500*p^167*q^2384+10084904*p^165*q^2386+102078326*p^163 *q^2388+1162570412*p^161*q^2390+12143503702*p^159*q^2392+93743570091*p^157*q^ 2394+367573624826*p^155*q^2396+548381048393*p^153*q^2398+235692372056*p^151*q^ 2400+26227361627*p^149*q^2402+1226071692*p^147*q^2404+36046144*p^145*q^2406+ 529286*p^143*q^2408+218*p^141*q^2410+20*p^172*q^2378+7408*p^170*q^2380+13516*p^ 168*q^2382+2977894*p^166*q^2384+20913330*p^164*q^2386+355760745*p^162*q^2388+ 3589289914*p^160*q^2390+34071733455*p^158*q^2392+201055737020*p^156*q^2394+ 516724531309*p^154*q^2396+451079715670*p^152*q^2398+101308013156*p^150*q^2400+ 7012832412*p^148*q^2402+261132533*p^146*q^2404+6139806*p^144*q^2406+46352*p^142 *q^2408+192*p^140*q^2410+848*p^171*q^2378+300*p^169*q^2380+277646*p^167*q^2382+ 10639462*p^165*q^2384+86968537*p^163*q^2386+1061517900*p^161*q^2388+10975742727 *p^159*q^2390+86665464266*p^157*q^2392+359616497590*p^155*q^2394+574689048706*p ^153*q^2396+275795704658*p^151*q^2398+33722510084*p^149*q^2400+1673232153*p^147 *q^2402+51020706*p^145*q^2404+960095*p^143*q^2406+1200*p^141*q^2408+19772*p^170 *q^2378+7962*p^168*q^2380+2200252*p^166*q^2382+22081874*p^164*q^2384+319968954* p^162*q^2386+3227540597*p^160*q^2388+31023535474*p^158*q^2390+189672773525*p^ 156*q^2392+520624609502*p^154*q^2394+494095086237*p^152*q^2396+125007957396*p^ 150*q^2398+9379186995*p^148*q^2400+367134218*p^146*q^2402+9699132*p^144*q^2404+ 97474*p^142*q^2406+540*p^171*q^2376+10144*p^169*q^2378+157108*p^167*q^2380+ 9996678*p^165*q^2382+71467008*p^163*q^2384+964105017*p^161*q^2386+9828972190*p^ 159*q^2388+79757356262*p^157*q^2390+348405207710*p^155*q^2392+601526273360*p^ 153*q^2394+319251636574*p^151*q^2396+43356058752*p^149*q^2398+2250922740*p^147* q^2400+70266888*p^145*q^2402+1290248*p^143*q^2404+3345*p^141*q^2406+12*p^139*q^ 2408+10076*p^170*q^2376+3860*p^168*q^2378+1555502*p^166*q^2380+23722364*p^164*q ^2382+281801534*p^162*q^2384+2905887552*p^160*q^2386+28112046262*p^158*q^2388+ 179394469236*p^156*q^2390+521178904499*p^154*q^2392+539816169736*p^152*q^2394+ 151751602617*p^150*q^2396+12303769562*p^148*q^2398+496165943*p^146*q^2400+ 13246404*p^144*q^2402+169926*p^142*q^2404+24*p^140*q^2406+44*p^171*q^2374+52528 *p^169*q^2376+85594*p^167*q^2378+8908176*p^165*q^2380+62526298*p^163*q^2382+ 885954602*p^161*q^2384+8846601407*p^159*q^2386+73498833212*p^157*q^2388+ 337388187897*p^155*q^2390+622310322878*p^153*q^2392+365717132517*p^151*q^2394+ 55150860528*p^149*q^2396+3053317082*p^147*q^2398+102717032*p^145*q^2400+2379488 *p^143*q^2402+15508*p^141*q^2404+6168*p^170*q^2374+13490*p^168*q^2376+1141692*p ^166*q^2378+24649406*p^164*q^2380+245497642*p^162*q^2382+2616911655*p^160*q^ 2384+25529082118*p^158*q^2386+167888038831*p^156*q^2388+520592573076*p^154*q^ 2390+581783640711*p^152*q^2392+183928399052*p^150*q^2394+16187148530*p^148*q^ 2396+682309096*p^146*q^2398+18350943*p^144*q^2400+233326*p^142*q^2402+96*p^140* q^2404+24*p^171*q^2372+55560*p^169*q^2374+45860*p^167*q^2376+6816352*p^165*q^ 2378+59032182*p^163*q^2380+799885639*p^161*q^2382+7940979202*p^159*q^2384+ 67413685713*p^157*q^2386+324710576280*p^155*q^2388+643224191625*p^153*q^2390+ 414629400864*p^151*q^2392+69708124354*p^149*q^2394+4085148034*p^147*q^2396+ 141646119*p^145*q^2398+3444986*p^143*q^2400+25988*p^141*q^2402+1908*p^170*q^ 2372+83032*p^168*q^2374+688654*p^166*q^2376+25541296*p^164*q^2378+207001262*p^ 162*q^2380+2377129356*p^160*q^2382+23071419980*p^158*q^2384+157616336698*p^156* q^2386+515670637676*p^154*q^2388+625850947360*p^152*q^2390+219275975402*p^150*q ^2392+21094939624*p^148*q^2394+923226237*p^146*q^2396+25718978*p^144*q^2398+ 454264*p^142*q^2400+1356*p^140*q^2402+16*p^171*q^2370+41404*p^169*q^2372+49874* p^167*q^2374+5595206*p^165*q^2376+56342922*p^163*q^2378+728840380*p^161*q^2380+ 7145920136*p^159*q^2382+61811089230*p^157*q^2384+312257396440*p^155*q^2386+ 658411705862*p^153*q^2388+466393639658*p^151*q^2390+87084124850*p^149*q^2392+ 5468265523*p^147*q^2394+196405372*p^145*q^2396+4855035*p^143*q^2398+35740*p^141 *q^2400+424*p^170*q^2370+165056*p^168*q^2372+418916*p^166*q^2374+22825050*p^164 *q^2376+184083994*p^162*q^2378+2153569053*p^160*q^2380+20907220678*p^158*q^2382 +146851261523*p^156*q^2384+510123865448*p^154*q^2386+664557141680*p^152*q^2388+ 260157068762*p^150*q^2390+27444721679*p^148*q^2392+1262078866*p^146*q^2394+ 38279428*p^144*q^2396+847418*p^142*q^2398+4199*p^140*q^2400+24368*p^169*q^2370+ 103034*p^167*q^2372+4057248*p^165*q^2374+59143250*p^163*q^2376+638467416*p^161* q^2378+6424352834*p^159*q^2380+56530891842*p^157*q^2382+297922040920*p^155*q^ 2384+673306377025*p^153*q^2386+518873227706*p^151*q^2388+108525316512*p^149*q^ 2390+7251632808*p^147*q^2392+267970634*p^145*q^2394+6233858*p^143*q^2396+57782* p^141*q^2398+24*p^139*q^2400+532*p^170*q^2368+171048*p^168*q^2370+303070*p^166* q^2372+20087024*p^164*q^2374+158242472*p^162*q^2376+1970355652*p^160*q^2378+ 18853880002*p^158*q^2380+136924640950*p^156*q^2382+501164321351*p^154*q^2384+ 705168100108*p^152*q^2386+304293385739*p^150*q^2388+35269930414*p^148*q^2390+ 1695837110*p^146*q^2392+53161374*p^144*q^2394+1208642*p^142*q^2396+4088*p^140*q ^2398+6440*p^169*q^2368+290762*p^167*q^2370+2758918*p^165*q^2372+59234458*p^163 *q^2374+571296888*p^161*q^2376+5795966096*p^159*q^2378+51683241410*p^157*q^2380 +284661079574*p^155*q^2382+682064975426*p^153*q^2384+573565267664*p^151*q^2386+ 133159253906*p^149*q^2388+9615881497*p^147*q^2390+367966242*p^145*q^2392+ 9249936*p^143*q^2394+174438*p^141*q^2396+564*p^139*q^2398+32*p^170*q^2366+ 153656*p^168*q^2368+295786*p^166*q^2370+17042908*p^164*q^2372+147400764*p^162*q ^2374+1781559694*p^160*q^2376+17070572616*p^158*q^2378+126913743134*p^156*q^ 2380+491339335518*p^154*q^2382+739013014036*p^152*q^2384+353960989140*p^150*q^ 2386+45287126899*p^148*q^2388+2310028682*p^146*q^2390+75625988*p^144*q^2392+ 1714756*p^142*q^2394+4260*p^140*q^2396+7188*p^169*q^2366+435854*p^167*q^2368+ 1871856*p^165*q^2370+56270672*p^163*q^2372+497714738*p^161*q^2374+5238732698*p^ 159*q^2376+47067227939*p^157*q^2378+269617276938*p^155*q^2380+690382967811*p^ 153*q^2382+627793116606*p^151*q^2384+162987837350*p^149*q^2386+12639639542*p^ 147*q^2388+495574300*p^145*q^2390+13241632*p^143*q^2392+245142*p^141*q^2394+312 *p^139*q^2396+32*p^170*q^2364+68512*p^168*q^2366+402546*p^166*q^2368+13235548*p ^164*q^2370+141733406*p^162*q^2372+1605794332*p^160*q^2374+15358167864*p^158*q^ 2376+117816386052*p^156*q^2378+478896628292*p^154*q^2380+774946186020*p^152*q^ 2382+405757562122*p^150*q^2384+57479762336*p^148*q^2386+3076105863*p^146*q^2388 +102130096*p^144*q^2390+2106221*p^142*q^2392+25738*p^140*q^2394+36*p^138*q^2396 +1628*p^169*q^2364+554682*p^167*q^2366+1576354*p^165*q^2368+52753440*p^163*q^ 2370+437236236*p^161*q^2372+4769776364*p^159*q^2374+42960255478*p^157*q^2376+ 255769052792*p^155*q^2378+692597511020*p^153*q^2380+683027052307*p^151*q^2382+ 196551005128*p^149*q^2384+16573842799*p^147*q^2386+683370636*p^145*q^2388+ 20137632*p^143*q^2390+461626*p^141*q^2392+156*p^139*q^2394+12*p^170*q^2362+ 55512*p^168*q^2364+742452*p^166*q^2366+9784360*p^164*q^2368+138132218*p^162*q^ 2370+1450957956*p^160*q^2372+13879496910*p^158*q^2374+108619823714*p^156*q^2376 +465629836606*p^154*q^2378+803102744438*p^152*q^2380+463240313310*p^150*q^2382+ 72631187966*p^148*q^2384+4147115434*p^146*q^2386+141370555*p^144*q^2388+2987864 *p^142*q^2390+41304*p^140*q^2392+12*p^138*q^2394+620*p^169*q^2362+405334*p^167* q^2364+1152572*p^165*q^2366+46624314*p^163*q^2368+388378624*p^161*q^2370+ 4293235704*p^159*q^2372+39034164971*p^157*q^2374+240779067652*p^155*q^2376+ 694719661472*p^153*q^2378+736184700016*p^151*q^2380+236033076177*p^149*q^2382+ 21562778076*p^147*q^2384+920900520*p^145*q^2386+27110310*p^143*q^2388+558451*p^ 141*q^2390+2084*p^139*q^2392+12*p^170*q^2360+27200*p^168*q^2362+1217300*p^166*q ^2364+7695528*p^164*q^2366+133657638*p^162*q^2368+1292450034*p^160*q^2370+ 12573496287*p^158*q^2372+100365503856*p^156*q^2374+450267786743*p^154*q^2376+ 832450360580*p^152*q^2378+521799434061*p^150*q^2380+90891364896*p^148*q^2382+ 5491449147*p^146*q^2384+190833818*p^144*q^2386+4758659*p^142*q^2388+85462*p^140 *q^2390+300*p^169*q^2360+304290*p^167*q^2362+1293366*p^165*q^2364+39041354*p^ 163*q^2366+356247202*p^161*q^2368+3908385735*p^159*q^2370+35407736700*p^157*q^ 2372+226985460959*p^155*q^2374+690488214114*p^153*q^2376+790641456730*p^151*q^ 2378+279092605712*p^149*q^2380+27991460132*p^147*q^2382+1255373484*p^145*q^2384 +38573744*p^143*q^2386+670932*p^141*q^2388+6724*p^139*q^2390+8768*p^168*q^2360+ 1374916*p^166*q^2362+5917042*p^164*q^2364+127337550*p^162*q^2366+1149817241*p^ 160*q^2368+11369351390*p^158*q^2370+92366099821*p^156*q^2372+434564344348*p^154 *q^2374+854063826287*p^152*q^2376+584796309444*p^150*q^2378+113029968699*p^148* q^2380+7302201574*p^146*q^2382+262362286*p^144*q^2384+6934260*p^142*q^2386+ 158847*p^140*q^2388+60*p^138*q^2390+6*p^173*q^2354+396*p^169*q^2358+225796*p^ 167*q^2360+1925494*p^165*q^2362+31608782*p^163*q^2364+334331977*p^161*q^2366+ 3531252416*p^159*q^2368+32174087322*p^157*q^2370+212205174888*p^155*q^2372+ 686353019815*p^153*q^2374+840589935696*p^151*q^2376+329075733545*p^149*q^2378+ 35994899760*p^147*q^2380+1696517911*p^145*q^2382+52672066*p^143*q^2384+978173*p ^141*q^2386+7976*p^139*q^2388+5448*p^168*q^2358+1195102*p^166*q^2360+4457228*p^ 164*q^2362+118044860*p^162*q^2364+1013853254*p^160*q^2366+10266927313*p^158*q^ 2368+84844289092*p^156*q^2370+417126113509*p^154*q^2372+876514590874*p^152*q^ 2374+648017967253*p^150*q^2376+139280145894*p^148*q^2378+9591475885*p^146*q^ 2380+353326562*p^144*q^2382+9452470*p^142*q^2384+170794*p^140*q^2386+834*p^138* q^2388+48*p^169*q^2356+93766*p^167*q^2358+2879284*p^165*q^2360+26187422*p^163*q ^2362+313726326*p^161*q^2364+3210225126*p^159*q^2366+29240871326*p^157*q^2368+ 199136003770*p^155*q^2370+676760535072*p^153*q^2372+891797371970*p^151*q^2374+ 381709500408*p^149*q^2376+46040693497*p^147*q^2378+2284328166*p^145*q^2380+ 72104936*p^143*q^2382+1634026*p^141*q^2384+33896*p^139*q^2386+100*p^172*q^2352+ 4728*p^168*q^2356+1117720*p^166*q^2358+4140170*p^164*q^2360+104580368*p^162*q^ 2362+920038937*p^160*q^2364+9310509800*p^158*q^2366+77668392301*p^156*q^2368+ 399541252878*p^154*q^2370+890043190673*p^152*q^2372+714915199024*p^150*q^2374+ 170130865659*p^148*q^2376+12711059788*p^146*q^2378+489622545*p^144*q^2380+ 14306172*p^142*q^2382+217025*p^140*q^2384+206*p^138*q^2386+16*p^169*q^2354+ 62324*p^167*q^2356+3192752*p^165*q^2358+20149326*p^163*q^2360+299204348*p^161*q ^2362+2860290806*p^159*q^2364+26490478507*p^157*q^2366+185320648896*p^155*q^ 2368+666862761843*p^153*q^2370+937615765640*p^151*q^2372+441737690933*p^149*q^ 2374+58551629160*p^147*q^2376+3031981405*p^145*q^2378+96244068*p^143*q^2380+ 2079258*p^141*q^2382+41894*p^139*q^2384+48*p^137*q^2386+8*p^172*q^2350+1768*p^ 168*q^2354+666558*p^166*q^2356+4897472*p^164*q^2358+91522346*p^162*q^2360+ 826901624*p^160*q^2362+8447848224*p^158*q^2364+71228231802*p^156*q^2366+ 380730186780*p^154*q^2368+905076012940*p^152*q^2370+780161677323*p^150*q^2372+ 205997281708*p^148*q^2374+16481866960*p^146*q^2376+665393988*p^144*q^2378+ 19041422*p^142*q^2380+332026*p^140*q^2382+4143*p^138*q^2384+694*p^171*q^2350+8* p^169*q^2352+38200*p^167*q^2354+3574448*p^165*q^2356+16200760*p^163*q^2358+ 282075918*p^161*q^2360+2586730017*p^159*q^2362+24043103996*p^157*q^2364+ 172832181018*p^155*q^2366+652402548752*p^153*q^2368+983581620606*p^151*q^2370+ 503309039472*p^149*q^2372+73981848987*p^147*q^2374+4077892970*p^145*q^2376+ 132478785*p^143*q^2378+3509456*p^141*q^2380+60770*p^139*q^2382+420*p^168*q^2352 +458548*p^166*q^2354+6208276*p^164*q^2356+77249326*p^162*q^2358+760035880*p^160 *q^2360+7649700274*p^158*q^2362+65060947392*p^156*q^2364+362352854386*p^154*q^ 2366+910678712511*p^152*q^2368+848805418254*p^150*q^2370+247115263352*p^148*q^ 2372+21545915224*p^146*q^2374+904729466*p^144*q^2376+26442590*p^142*q^2378+ 433024*p^140*q^2380+7888*p^138*q^2382+300*p^171*q^2348+8*p^169*q^2350+24912*p^ 167*q^2352+2979842*p^165*q^2354+13073726*p^163*q^2356+260819078*p^161*q^2358+ 2310728368*p^159*q^2360+21804234766*p^157*q^2362+159969086982*p^155*q^2364+ 637785782811*p^153*q^2366+1023099051852*p^151*q^2368+572250726293*p^149*q^2370+ 92575380766*p^147*q^2372+5398373269*p^145*q^2374+180452068*p^143*q^2376+4755676 *p^141*q^2378+72726*p^139*q^2380+199*p^137*q^2382+2604*p^170*q^2348+276*p^168*q ^2350+278140*p^166*q^2352+7795462*p^164*q^2354+64408342*p^162*q^2356+706107974* p^160*q^2358+6930454120*p^158*q^2360+59464056530*p^156*q^2362+343300457706*p^ 154*q^2364+917433968270*p^152*q^2366+914295750144*p^150*q^2368+293924140796*p^ 148*q^2370+27813921506*p^146*q^2372+1213604006*p^144*q^2374+34982186*p^142*q^ 2376+705770*p^140*q^2378+13944*p^138*q^2380+14*p^171*q^2346+12*p^169*q^2348+ 8648*p^167*q^2350+2293836*p^165*q^2352+13025972*p^163*q^2354+236420402*p^161*q^ 2356+2078114312*p^159*q^2358+19767946042*p^157*q^2360+148548672595*p^155*q^2362 +618783387036*p^153*q^2364+1062914469105*p^151*q^2366+641151654782*p^149*q^2368 +115271991651*p^147*q^2370+7127365756*p^145*q^2372+251342646*p^143*q^2374+ 6965458*p^141*q^2376+82782*p^139*q^2378+1016*p^137*q^2380+3122*p^170*q^2346+132 *p^168*q^2348+197192*p^166*q^2350+8550440*p^164*q^2352+51482196*p^162*q^2354+ 663505478*p^160*q^2356+6280590028*p^158*q^2358+54264126620*p^156*q^2360+ 324670036640*p^154*q^2362+915716383563*p^152*q^2364+982203816598*p^150*q^2366+ 345917129797*p^148*q^2368+35898480948*p^146*q^2370+1651116695*p^144*q^2372+ 47378744*p^142*q^2374+1125215*p^140*q^2376+23102*p^138*q^2378+12*p^171*q^2344+ 5746*p^169*q^2346+5148*p^167*q^2348+1653106*p^165*q^2350+14480074*p^163*q^2352+ 210607816*p^161*q^2354+1867659228*p^159*q^2356+17925574678*p^157*q^2358+ 136874276118*p^155*q^2360+600322483875*p^153*q^2362+1094131290998*p^151*q^2364+ 717381038860*p^149*q^2366+142105435164*p^147*q^2368+9409563026*p^145*q^2370+ 340844132*p^143*q^2372+9383011*p^141*q^2374+111452*p^139*q^2376+1692*p^137*q^ 2378+592*p^170*q^2344+384*p^168*q^2346+109564*p^166*q^2348+7858904*p^164*q^2350 +42206620*p^162*q^2352+617001558*p^160*q^2354+5658539726*p^158*q^2356+ 49495787778*p^156*q^2358+305567769069*p^154*q^2360+914757231602*p^152*q^2362+ 1046061154349*p^150*q^2364+404402404224*p^148*q^2366+45739007147*p^146*q^2368+ 2183022526*p^144*q^2370+64057624*p^142*q^2372+1588728*p^140*q^2374+15704*p^138* q^2376+66*p^136*q^2378+15192*p^169*q^2344+1684*p^167*q^2346+1127196*p^165*q^ 2348+17476272*p^163*q^2350+182069734*p^161*q^2352+1711076455*p^159*q^2354+ 16302571848*p^157*q^2356+126590269715*p^155*q^2358+578704090498*p^153*q^2360+ 1125838474328*p^151*q^2362+791693428664*p^149*q^2364+173821299463*p^147*q^2366+ 12349199292*p^145*q^2368+472528150*p^143*q^2370+12523736*p^141*q^2372+236438*p^ 139*q^2374+6780*p^137*q^2376+368*p^170*q^2342+7644*p^168*q^2344+59536*p^166*q^ 2346+6932960*p^164*q^2348+37429200*p^162*q^2350+573753987*p^160*q^2352+ 5101767554*p^158*q^2354+45022052753*p^156*q^2356+287456144842*p^154*q^2358+ 904779892607*p^152*q^2360+1111609110220*p^150*q^2362+467185796036*p^148*q^2364+ 58448612704*p^146*q^2366+2935459279*p^144*q^2368+89773062*p^142*q^2370+2483882* p^140*q^2372+13910*p^138*q^2374+66*p^136*q^2376+7608*p^169*q^2342+4472*p^167*q^ 2344+828556*p^165*q^2346+18920546*p^163*q^2348+151774224*p^161*q^2350+ 1567742052*p^159*q^2352+14782413167*p^157*q^2354+116352015702*p^155*q^2356+ 557098415751*p^153*q^2358+1149028319568*p^151*q^2360+873134135580*p^149*q^2362+ 210783013934*p^147*q^2364+16106781689*p^145*q^2366+632221866*p^143*q^2368+ 16310606*p^141*q^2370+309662*p^139*q^2372+4378*p^137*q^2374+20*p^170*q^2340+ 40476*p^168*q^2342+25604*p^166*q^2344+5097132*p^164*q^2346+36093888*p^162*q^ 2348+527698518*p^160*q^2350+4580951270*p^158*q^2352+41019577716*p^156*q^2354+ 268912957199*p^154*q^2356+896765743842*p^152*q^2358+1170659852186*p^150*q^2360+ 536992078346*p^148*q^2362+73470244075*p^146*q^2364+3882941426*p^144*q^2366+ 124548144*p^142*q^2368+3138030*p^140*q^2370+37341*p^138*q^2372+1170*p^136*q^ 2374+4428*p^169*q^2340+7344*p^167*q^2342+495830*p^165*q^2344+19935332*p^163*q^ 2346+129849874*p^161*q^2348+1448279107*p^159*q^2350+13448409664*p^157*q^2352+ 107274279481*p^155*q^2354+533584704620*p^153*q^2356+1171475146871*p^151*q^2358+ 951265620778*p^149*q^2360+253388203506*p^147*q^2362+20965742230*p^145*q^2364+ 860974031*p^143*q^2366+22081040*p^141*q^2368+603687*p^139*q^2370+1338*p^137*q^ 2372+12*p^170*q^2338+43284*p^168*q^2340+30676*p^166*q^2342+4187304*p^164*q^2344 +38565986*p^162*q^2346+468919402*p^160*q^2348+4164874872*p^158*q^2350+ 37278870878*p^156*q^2352+251476760154*p^154*q^2354+880027634499*p^152*q^2356+ 1231449476654*p^150*q^2358+609856848947*p^148*q^2360+92522639510*p^146*q^2362+ 5174903401*p^144*q^2364+172924168*p^142*q^2366+4469776*p^140*q^2368+55232*p^138 *q^2370+1491*p^136*q^2372+1214*p^169*q^2338+62944*p^167*q^2340+280136*p^165*q^ 2342+17365876*p^163*q^2344+107929275*p^161*q^2346+1349378636*p^159*q^2348+ 12116807322*p^157*q^2350+98259808690*p^155*q^2352+510457141778*p^153*q^2354+ 1184983375648*p^151*q^2356+1036106406377*p^149*q^2358+301745800872*p^147*q^2360 +27121906310*p^145*q^2362+1144771382*p^143*q^2364+30191265*p^141*q^2366+704854* p^139*q^2368+3599*p^137*q^2370+84*p^135*q^2372+8*p^170*q^2336+31290*p^168*q^ 2338+24000*p^166*q^2340+2988300*p^164*q^2342+42924130*p^162*q^2344+416476312*p^ 160*q^2346+3756883881*p^158*q^2348+34046780010*p^156*q^2350+234311694987*p^154* q^2352+864997338782*p^152*q^2354+1284575026620*p^150*q^2356+689659058962*p^148* q^2358+114718516289*p^146*q^2360+6805371074*p^144*q^2362+237211298*p^142*q^2364 +5591004*p^140*q^2366+124678*p^138*q^2368+76*p^136*q^2370+224*p^169*q^2336+ 128624*p^167*q^2338+188470*p^165*q^2340+15336142*p^163*q^2342+96621370*p^161*q^ 2344+1247035588*p^159*q^2346+11014351876*p^157*q^2348+90172663524*p^155*q^2350+ 485329036818*p^153*q^2352+1198119108578*p^151*q^2354+1115564356104*p^149*q^2356 +356753380891*p^147*q^2358+34908102996*p^145*q^2360+1540798358*p^143*q^2362+ 43121416*p^141*q^2364+1101331*p^139*q^2366+8744*p^137*q^2368+366*p^135*q^2370+ 17244*p^168*q^2336+63540*p^166*q^2338+2000840*p^164*q^2340+43968540*p^162*q^ 2342+360008381*p^160*q^2344+3438378514*p^158*q^2346+30904675786*p^156*q^2348+ 218355192880*p^154*q^2350+843040224793*p^152*q^2352+1338426185816*p^150*q^2354+ 771264640776*p^148*q^2356+142033780676*p^146*q^2358+8984552899*p^144*q^2360+ 325266420*p^142*q^2362+7169303*p^140*q^2364+160026*p^138*q^2366+137*p^136*q^ 2368+314*p^169*q^2334+135292*p^167*q^2336+180702*p^165*q^2338+12864890*p^163*q^ 2340+93738398*p^161*q^2342+1143276016*p^159*q^2344+9949044998*p^157*q^2346+ 82497263802*p^155*q^2348+461102906753*p^153*q^2350+1201139023182*p^151*q^2352+ 1201080143922*p^149*q^2354+417325037576*p^147*q^2356+44728594715*p^145*q^2358+ 2057030864*p^143*q^2360+60099928*p^141*q^2362+1580504*p^139*q^2364+19484*p^137* q^2366+3884*p^168*q^2334+219594*p^166*q^2336+1241540*p^164*q^2338+42114692*p^ 162*q^2340+305751854*p^160*q^2342+3148342578*p^158*q^2344+28112098176*p^156*q^ 2346+202292813114*p^154*q^2348+822737099974*p^152*q^2350+1383510232207*p^150*q^ 2352+860686264872*p^148*q^2354+173444950376*p^146*q^2356+11758180794*p^144*q^ 2358+429179131*p^142*q^2360+9615052*p^140*q^2362+192096*p^138*q^2364+1044*p^136 *q^2366+51*p^134*q^2368+20*p^169*q^2332+115678*p^167*q^2334+107820*p^165*q^2336 +9907358*p^163*q^2338+96178146*p^161*q^2340+1044004587*p^159*q^2342+9011900998* p^157*q^2344+75678616583*p^155*q^2346+436253395264*p^153*q^2348+1204483823184*p ^151*q^2350+1279748984714*p^149*q^2352+484427441924*p^147*q^2354+56781446534*p^ 145*q^2356+2736296694*p^143*q^2358+87413984*p^141*q^2360+1879062*p^139*q^2362+ 40560*p^137*q^2364+4556*p^168*q^2332+347406*p^166*q^2334+1077664*p^164*q^2336+ 40248028*p^162*q^2338+266742764*p^160*q^2340+2909725350*p^158*q^2342+ 25573514413*p^156*q^2344+187683335036*p^154*q^2346+795542311336*p^152*q^2348+ 1428495056884*p^150*q^2350+949036472375*p^148*q^2352+211492966086*p^146*q^2354+ 15424869392*p^144*q^2356+591292044*p^142*q^2358+13700576*p^140*q^2360+408852*p^ 138*q^2362+1860*p^136*q^2364+12*p^169*q^2330+47572*p^167*q^2332+266754*p^165*q^ 2334+7030646*p^163*q^2336+95412784*p^161*q^2338+925967634*p^159*q^2340+ 8147306206*p^157*q^2342+68943426060*p^155*q^2344+411982956158*p^153*q^2346+ 1198104660118*p^151*q^2348+1364417884522*p^149*q^2350+557578730978*p^147*q^2352 +71804786152*p^145*q^2354+3625749004*p^143*q^2356+114797981*p^141*q^2358+ 2170810*p^139*q^2360+22940*p^137*q^2362+66*p^135*q^2364+3*p^133*q^2366+1032*p^ 168*q^2330+438154*p^166*q^2332+660364*p^164*q^2334+35173920*p^162*q^2336+ 242110308*p^160*q^2338+2679855919*p^158*q^2340+23249653672*p^156*q^2342+ 173485356894*p^154*q^2344+770925621792*p^152*q^2346+1463783779083*p^150*q^2348+ 1045230832408*p^148*q^2350+253707775980*p^146*q^2352+19980481080*p^144*q^2354+ 780757978*p^142*q^2356+20749134*p^140*q^2358+523610*p^138*q^2360+9004*p^136*q^ 2362+4*p^169*q^2328+36858*p^167*q^2330+542776*p^165*q^2332+5404604*p^163*q^2334 +97404296*p^161*q^2336+817169356*p^159*q^2338+7430071068*p^157*q^2340+ 63179926873*p^155*q^2342+387380511278*p^153*q^2344+1191815278932*p^151*q^2346+ 1439130884514*p^149*q^2348+637659509501*p^147*q^2350+90010397980*p^145*q^2352+ 4847904032*p^143*q^2354+160693298*p^141*q^2356+2801820*p^139*q^2358+75130*p^137 *q^2360+66*p^135*q^2362+268*p^168*q^2328+307414*p^166*q^2330+568306*p^164*q^ 2332+29404250*p^162*q^2334+226239080*p^160*q^2336+2469384632*p^158*q^2338+ 21082986809*p^156*q^2340+160199189114*p^154*q^2342+740726464011*p^152*q^2344+ 1498239520000*p^150*q^2346+1139811091986*p^148*q^2348+303680222416*p^146*q^2350 +25926130621*p^144*q^2352+1046384036*p^142*q^2354+29331070*p^140*q^2356+618392* p^138*q^2358+4180*p^136*q^2360+8*p^169*q^2326+17716*p^167*q^2328+976412*p^165*q ^2330+4006784*p^163*q^2332+93855008*p^161*q^2334+712958384*p^159*q^2336+ 6777629945*p^157*q^2338+57558132470*p^155*q^2340+364246169083*p^153*q^2342+ 1176128639640*p^151*q^2344+1519892038773*p^149*q^2346+721653481232*p^147*q^2348 +112379082847*p^145*q^2350+6371632040*p^143*q^2352+214867984*p^141*q^2354+ 4191532*p^139*q^2356+122622*p^137*q^2358+1294*p^135*q^2360+108*p^168*q^2326+ 214702*p^166*q^2328+728126*p^164*q^2330+23022020*p^162*q^2332+219132890*p^160*q ^2334+2253342464*p^158*q^2336+19125715710*p^156*q^2338+147539961893*p^154*q^ 2340+712402483816*p^152*q^2342+1522329648055*p^150*q^2344+1241294496344*p^148*q ^2346+358872256748*p^146*q^2348+33256928784*p^144*q^2350+1404048267*p^142*q^ 2352+40469380*p^140*q^2354+589988*p^138*q^2356+7918*p^136*q^2358+4956*p^167*q^ 2326+1100484*p^165*q^2328+2782764*p^163*q^2330+88949542*p^161*q^2332+633930618* p^159*q^2334+6209536956*p^157*q^2336+52673019931*p^155*q^2338+340843371834*p^ 153*q^2340+1161540961412*p^151*q^2342+1589233263232*p^149*q^2344+813588113921*p ^147*q^2346+138456480486*p^145*q^2348+8420312444*p^143*q^2350+287053164*p^141*q ^2352+6598702*p^139*q^2354+187190*p^137*q^2356+1459*p^135*q^2358+276*p^168*q^ 2324+153174*p^166*q^2326+1369362*p^164*q^2328+18726124*p^162*q^2330+214965324*p ^160*q^2332+2028828732*p^158*q^2334+17391026383*p^156*q^2336+135923501404*p^154 *q^2338+680160759778*p^152*q^2340+1545063931182*p^150*q^2342+1338528080201*p^ 148*q^2344+422201203158*p^146*q^2346+42714597266*p^144*q^2348+1890041104*p^142* q^2350+57462888*p^140*q^2352+746392*p^138*q^2354+20908*p^136*q^2356+84*p^134*q^ 2358+2664*p^167*q^2324+910200*p^165*q^2326+2236836*p^163*q^2328+77848342*p^161* q^2330+569180530*p^159*q^2332+5720510438*p^157*q^2334+47886334678*p^155*q^2336+ 318675865351*p^153*q^2338+1137623756232*p^151*q^2340+1663059553353*p^149*q^2342 +908859086696*p^147*q^2344+170251824867*p^145*q^2346+11010580654*p^143*q^2348+ 383219484*p^141*q^2350+9290088*p^139*q^2352+178034*p^137*q^2354+318*p^135*q^ 2356+4*p^172*q^2318+24*p^168*q^2322+60626*p^166*q^2324+2316832*p^164*q^2326+ 13724574*p^162*q^2328+212147694*p^160*q^2330+1808081976*p^158*q^2332+ 15776656096*p^156*q^2334+124819122984*p^154*q^2336+650508686808*p^152*q^2338+ 1556937513722*p^150*q^2340+1443748139032*p^148*q^2342+490204822190*p^146*q^2344 +54230656690*p^144*q^2346+2504276925*p^142*q^2348+75200454*p^140*q^2350+1202318 *p^138*q^2352+40120*p^136*q^2354+366*p^134*q^2356+3152*p^167*q^2322+796408*p^ 165*q^2324+2036286*p^163*q^2326+67708758*p^161*q^2328+524788784*p^159*q^2330+ 5260920706*p^157*q^2332+43777307244*p^155*q^2334+296980675068*p^153*q^2336+ 1114735847997*p^151*q^2338+1724297943730*p^149*q^2340+1011288041195*p^147*q^ 2342+206640581374*p^145*q^2344+14400521355*p^143*q^2346+521853442*p^141*q^2348+ 14237966*p^139*q^2350+132274*p^137*q^2352+2456*p^135*q^2354+8*p^168*q^2320+ 36570*p^166*q^2322+2565700*p^164*q^2324+10930618*p^162*q^2326+205124312*p^160*q ^2328+1619132286*p^158*q^2330+14388329101*p^156*q^2332+114762324992*p^154*q^ 2334+617143786346*p^152*q^2336+1568162959112*p^150*q^2338+1541281706195*p^148*q ^2340+567691604990*p^146*q^2342+68654179378*p^144*q^2344+3362372422*p^142*q^ 2346+102786922*p^140*q^2348+1873496*p^138*q^2350+64706*p^136*q^2352+68*p^171*q^ 2316+1096*p^167*q^2320+461953*p^165*q^2322+3440864*p^163*q^2324+55117018*p^161* q^2326+492464804*p^159*q^2328+4788563294*p^157*q^2330+39753204282*p^155*q^2332+ 276405865711*p^153*q^2334+1084075392588*p^151*q^2336+1788508214348*p^149*q^2338 +1116314431186*p^147*q^2340+249931337173*p^145*q^2342+18690843278*p^143*q^2344+ 696602709*p^141*q^2346+18627350*p^139*q^2348+178744*p^137*q^2350+4476*p^135*q^ 2352+51*p^133*q^2354+23600*p^166*q^2320+2701736*p^164*q^2322+7502102*p^162*q^ 2324+191487588*p^160*q^2326+1440842716*p^158*q^2328+13173699830*p^156*q^2330+ 105174228679*p^154*q^2332+586706413600*p^152*q^2334+1567888190324*p^150*q^2336+ 1647539343982*p^148*q^2338+649027423690*p^146*q^2340+86046052956*p^144*q^2342+ 4423342139*p^142*q^2344+135258834*p^140*q^2346+3058107*p^138*q^2348+32552*p^136 *q^2350+148*p^134*q^2352+4*p^171*q^2314+222*p^167*q^2318+299884*p^165*q^2320+ 4786662*p^163*q^2322+45611524*p^161*q^2324+476570260*p^159*q^2326+4360306456*p^ 157*q^2328+36280199088*p^155*q^2330+256551153308*p^153*q^2332+1055168956248*p^ 151*q^2334+1838268176256*p^149*q^2336+1228178864375*p^147*q^2338+298244155404*p ^145*q^2340+24267757264*p^143*q^2342+948986118*p^141*q^2344+26872812*p^139*q^ 2346+305118*p^137*q^2348+17656*p^135*q^2350+480*p^170*q^2314+4*p^168*q^2316+ 16364*p^166*q^2318+2177047*p^164*q^2320+7103022*p^162*q^2322+173408208*p^160*q^ 2324+1296895288*p^158*q^2326+12064744487*p^156*q^2328+96451053708*p^154*q^2330+ 553728555856*p^152*q^2332+1566195565080*p^150*q^2334+1743826143879*p^148*q^2336 +740684874950*p^146*q^2338+107422724272*p^144*q^2340+5863883984*p^142*q^2342+ 183971548*p^140*q^2344+4268202*p^138*q^2346+24146*p^136*q^2348+164*p^134*q^2350 +3*p^132*q^2352+52*p^167*q^2316+172736*p^165*q^2318+6108780*p^163*q^2320+ 34821308*p^161*q^2322+456725028*p^159*q^2324+3937049214*p^157*q^2326+ 32947500272*p^155*q^2328+237989771806*p^153*q^2330+1018960373832*p^151*q^2332+ 1891795461850*p^149*q^2334+1340558273246*p^147*q^2336+354703416605*p^145*q^2338 +31165246976*p^143*q^2340+1267874574*p^141*q^2342+34705894*p^139*q^2344+551668* p^137*q^2346+11812*p^135*q^2348+192*p^170*q^2312+8*p^168*q^2314+5220*p^166*q^ 2316+1611042*p^164*q^2318+8063832*p^162*q^2320+151797982*p^160*q^2322+ 1185745504*p^158*q^2324+11046207194*p^156*q^2326+88292915469*p^154*q^2328+ 523286137172*p^152*q^2330+1554389358349*p^150*q^2332+1846561851654*p^148*q^2334 +835520687939*p^146*q^2336+132910371578*p^144*q^2338+7688683833*p^142*q^2340+ 248111242*p^140*q^2342+6265194*p^138*q^2344+35944*p^136*q^2346+2776*p^134*q^ 2348+1820*p^169*q^2312+60*p^167*q^2314+128432*p^165*q^2316+6508861*p^163*q^2318 +26943220*p^161*q^2320+439920984*p^159*q^2322+3541603292*p^157*q^2324+ 30146469380*p^155*q^2326+219995049474*p^153*q^2328+985294920333*p^151*q^2330+ 1928859884826*p^149*q^2332+1461227965455*p^147*q^2334+416243939736*p^145*q^2336 +39931775363*p^143*q^2338+1704751888*p^141*q^2340+46435231*p^139*q^2342+869692* p^137*q^2344+3224*p^135*q^2346+4*p^170*q^2310+2112*p^166*q^2314+1102586*p^164*q ^2316+10297872*p^162*q^2318+129971396*p^160*q^2320+1096848262*p^158*q^2322+ 10109579583*p^156*q^2324+80802613972*p^154*q^2326+491556907592*p^152*q^2328+ 1541154419240*p^150*q^2330+1937788858662*p^148*q^2332+940630487024*p^146*q^2334 +163212821035*p^144*q^2336+10145601302*p^142*q^2338+339696308*p^140*q^2340+ 9011720*p^138*q^2342+83008*p^136*q^2344+3870*p^134*q^2346+2164*p^169*q^2310+268 *p^167*q^2312+71206*p^165*q^2314+5836350*p^163*q^2316+23203168*p^161*q^2318+ 409781400*p^159*q^2320+3194958479*p^157*q^2322+27474724470*p^155*q^2324+ 203442876180*p^153*q^2326+945258198052*p^151*q^2328+1968327194131*p^149*q^2330+ 1579654421886*p^147*q^2332+487259470002*p^145*q^2334+50841919298*p^143*q^2336+ 2258437365*p^141*q^2338+62202708*p^139*q^2340+1203608*p^137*q^2342+2980*p^135*q ^2344+184*p^133*q^2346+4*p^170*q^2308+4004*p^168*q^2310+632*p^166*q^2312+735118 *p^164*q^2314+13191318*p^162*q^2316+104143664*p^160*q^2318+1033079036*p^158*q^ 2320+9201839850*p^156*q^2322+73773676632*p^154*q^2324+462160647960*p^152*q^2326 +1518022745355*p^150*q^2328+2035480741538*p^148*q^2330+1048426385415*p^146*q^ 2332+198902504960*p^144*q^2334+13163205812*p^142*q^2336+458442862*p^140*q^2338+ 11295788*p^138*q^2340+149428*p^136*q^2342+460*p^134*q^2344+300*p^169*q^2308+20* p^167*q^2310+32876*p^165*q^2312+4925642*p^163*q^2314+20765758*p^161*q^2316+ 380365710*p^159*q^2318+2883511482*p^157*q^2320+25179099766*p^155*q^2322+ 187687293244*p^153*q^2324+908512660214*p^151*q^2326+1991517719012*p^149*q^2328+ 1705865703040*p^147*q^2330+562821387688*p^145*q^2332+64305438811*p^143*q^2334+ 3014387690*p^141*q^2336+84841098*p^139*q^2338+2134616*p^137*q^2340+9390*p^135*q ^2342+860*p^133*q^2344+11032*p^168*q^2308+3024*p^166*q^2310+550980*p^164*q^2312 +14374470*p^162*q^2314+88384878*p^160*q^2316+980812214*p^158*q^2318+8380508896* p^156*q^2320+67574189276*p^154*q^2322+431949435220*p^152*q^2324+1494114090906*p ^150*q^2326+2117662822797*p^148*q^2328+1166765451522*p^146*q^2330+240295912754* p^144*q^2332+17252116082*p^142*q^2334+628717289*p^140*q^2336+15636118*p^138*q^ 2338+194392*p^136*q^2340+200*p^134*q^2342+188*p^169*q^2306+5156*p^167*q^2308+ 11610*p^165*q^2310+3493658*p^163*q^2312+23782296*p^161*q^2314+330982276*p^159*q ^2316+2612448527*p^157*q^2318+22960887530*p^155*q^2320+172825754174*p^153*q^ 2322+866179279742*p^151*q^2324+2016750401367*p^149*q^2326+1827984649076*p^147*q ^2328+649675129266*p^145*q^2330+80791531712*p^143*q^2332+3969872134*p^141*q^ 2334+113232084*p^139*q^2336+2650195*p^137*q^2338+21856*p^135*q^2340+60*p^133*q^ 2342+4792*p^168*q^2306+936*p^166*q^2308+313842*p^164*q^2310+14726710*p^162*q^ 2312+69606104*p^160*q^2314+934323618*p^158*q^2316+7612739672*p^156*q^2318+ 61689175497*p^154*q^2320+404632058174*p^152*q^2322+1461820860880*p^150*q^2324+ 2206251689858*p^148*q^2326+1286669022702*p^146*q^2328+287741585806*p^144*q^2330 +22196444537*p^142*q^2332+834926270*p^140*q^2334+20352212*p^138*q^2336+396054*p ^136*q^2338+600*p^134*q^2340+110*p^132*q^2342+8*p^169*q^2304+30108*p^167*q^2306 +19220*p^165*q^2308+2819954*p^163*q^2310+27177618*p^161*q^2312+293488586*p^159* q^2314+2400808432*p^157*q^2316+21050402404*p^155*q^2318+159129235000*p^153*q^ 2320+827224889777*p^151*q^2322+2024053018770*p^149*q^2324+1957309429002*p^147*q ^2326+739578040426*p^145*q^2328+101102533387*p^143*q^2330+5283710984*p^141*q^ 2332+161894951*p^139*q^2334+3843384*p^137*q^2336+27694*p^135*q^2338+8*p^133*q^ 2340+2512*p^168*q^2304+3888*p^166*q^2306+155558*p^164*q^2308+12621218*p^162*q^ 2310+61252063*p^160*q^2312+869391430*p^158*q^2314+6892102235*p^156*q^2316+ 56461112604*p^154*q^2318+376372569362*p^152*q^2320+1428900101722*p^150*q^2322+ 2277825686284*p^148*q^2324+1418042362936*p^146*q^2326+342183791463*p^144*q^2328 +28670577860*p^142*q^2330+1117564059*p^140*q^2332+26644248*p^138*q^2334+572441* p^136*q^2336+2756*p^134*q^2338+4*p^132*q^2340+30784*p^167*q^2304+14184*p^165*q^ 2306+2012880*p^163*q^2308+31195008*p^161*q^2310+247024490*p^159*q^2312+ 2233853629*p^157*q^2314+19188569608*p^155*q^2316+146347719797*p^153*q^2318+ 784809559256*p^151*q^2320+2033906768829*p^149*q^2322+2079118078704*p^147*q^2324 +841828726504*p^145*q^2326+124949695552*p^143*q^2328+6951737327*p^141*q^2330+ 219907002*p^139*q^2332+4941200*p^137*q^2334+54214*p^135*q^2336+12*p^133*q^2338+ 6*p^131*q^2340+628*p^168*q^2302+46336*p^166*q^2304+109582*p^164*q^2306+10685408 *p^162*q^2308+58258182*p^160*q^2310+803076806*p^158*q^2312+6236331440*p^156*q^ 2314+51605722695*p^154*q^2316+350957453110*p^152*q^2318+1387694553060*p^150*q^ 2320+2354050286340*p^148*q^2322+1549006491143*p^146*q^2324+403968728300*p^144*q ^2326+36680985163*p^142*q^2328+1487221276*p^140*q^2330+36794855*p^138*q^2332+ 842240*p^136*q^2334+3532*p^134*q^2336+4*p^169*q^2300+19144*p^167*q^2302+5140*p^ 165*q^2304+1253069*p^163*q^2306+32390402*p^161*q^2308+206375611*p^159*q^2310+ 2089276284*p^157*q^2312+17569213674*p^155*q^2314+134404689112*p^153*q^2316+ 745260751073*p^151*q^2318+2027664737522*p^149*q^2320+2208111964834*p^147*q^2322 +947208978660*p^145*q^2324+153670589191*p^143*q^2326+9114976096*p^141*q^2328+ 296712800*p^139*q^2330+6363670*p^137*q^2332+101698*p^135*q^2334+240*p^133*q^ 2336+16*p^168*q^2300+98716*p^166*q^2302+113496*p^164*q^2304+8918924*p^162*q^ 2306+60539374*p^160*q^2308+731496138*p^158*q^2310+5669292506*p^156*q^2312+ 47251142744*p^154*q^2314+325539264947*p^152*q^2316+1347941508556*p^150*q^2318+ 2410188284961*p^148*q^2320+1691573755874*p^146*q^2322+471981595259*p^144*q^2324 +46948518986*p^142*q^2326+2003219883*p^140*q^2328+54065862*p^138*q^2330+1210712 *p^136*q^2332+5842*p^134*q^2334+10168*p^167*q^2300+41884*p^165*q^2302+744812*p^ 163*q^2304+30628677*p^161*q^2306+176522888*p^159*q^2308+1950594296*p^157*q^2310 +15986342028*p^155*q^2312+123397636967*p^153*q^2314+703013557742*p^151*q^2316+ 2021296239228*p^149*q^2318+2327545239974*p^147*q^2320+1065676237259*p^145*q^ 2322+187500995592*p^143*q^2324+11892509475*p^141*q^2326+395559028*p^139*q^2328+ 7810507*p^137*q^2330+149978*p^135*q^2332+472*p^133*q^2334+184*p^168*q^2298+ 91328*p^166*q^2300+49556*p^164*q^2302+6687007*p^162*q^2304+65776944*p^160*q^ 2306+639454866*p^158*q^2308+5188613188*p^156*q^2310+43153209000*p^154*q^2312+ 302485541286*p^152*q^2314+1300809580179*p^150*q^2316+2472667934740*p^148*q^2318 +1831535750919*p^146*q^2320+549179568936*p^144*q^2322+59156891567*p^142*q^2324+ 2651592108*p^140*q^2326+73217292*p^138*q^2328+1489344*p^136*q^2330+13546*p^134* q^2332+8*p^132*q^2334+1324*p^167*q^2298+172004*p^165*q^2300+651388*p^163*q^2302 +28431016*p^161*q^2304+155074039*p^159*q^2306+1840998794*p^157*q^2308+ 14563265049*p^155*q^2310+113283597616*p^153*q^2312+664357154300*p^151*q^2314+ 2000599809008*p^149*q^2316+2451566301468*p^147*q^2318+1186185679014*p^145*q^ 2320+226881576524*p^143*q^2322+15514563402*p^141*q^2324+536429981*p^139*q^2326+ 11740410*p^137*q^2328+273070*p^135*q^2330+464*p^133*q^2332+8*p^168*q^2296+74272 *p^166*q^2298+48780*p^164*q^2300+4540114*p^162*q^2302+68183811*p^160*q^2304+ 563143170*p^158*q^2306+4752826710*p^156*q^2308+39586885166*p^154*q^2310+ 279646814641*p^152*q^2312+1255258751760*p^150*q^2314+2512081329454*p^148*q^2316 +1983527661678*p^146*q^2318+632631714432*p^144*q^2320+74746259604*p^142*q^2322+ 3542259000*p^140*q^2324+101426998*p^138*q^2326+1876349*p^136*q^2328+19660*p^134 *q^2330+60*p^132*q^2332+2580*p^167*q^2296+259818*p^165*q^2298+411248*p^163*q^ 2300+24845407*p^161*q^2302+147701218*p^159*q^2304+1688999488*p^157*q^2306+ 13240214044*p^155*q^2308+103825839595*p^153*q^2310+623445145260*p^151*q^2312+ 1980661038997*p^149*q^2314+2563493532632*p^147*q^2316+1321368314264*p^145*q^ 2318+272141335684*p^143*q^2320+20102580404*p^141*q^2322+712295204*p^139*q^2324+ 16229140*p^137*q^2326+314326*p^135*q^2328+1440*p^133*q^2330+24936*p^166*q^2296+ 176332*p^164*q^2298+3341190*p^162*q^2300+68823260*p^160*q^2302+478801070*p^158* q^2304+4418464808*p^156*q^2306+36128044495*p^154*q^2308+259081513182*p^152*q^ 2310+1204440258998*p^150*q^2312+2557253702156*p^148*q^2314+2130323711938*p^146* q^2316+726042482662*p^144*q^2318+93032845359*p^142*q^2320+4648252656*p^140*q^ 2322+135918909*p^138*q^2324+2294340*p^136*q^2326+49766*p^134*q^2328+16*p^132*q^ 2330+556*p^167*q^2294+304564*p^165*q^2296+276414*p^163*q^2298+20126176*p^161*q^ 2300+145464112*p^159*q^2302+1557185832*p^157*q^2304+12067829803*p^155*q^2306+ 95273898360*p^153*q^2308+586714521670*p^151*q^2310+1945776376800*p^149*q^2312+ 2679984437475*p^147*q^2314+1456681405334*p^145*q^2316+324433398987*p^143*q^2318 +25925479606*p^141*q^2320+975171159*p^139*q^2322+24065618*p^137*q^2324+477780*p ^135*q^2326+1604*p^133*q^2328+4*p^131*q^2330+20048*p^166*q^2294+432152*p^164*q^ 2296+2475482*p^162*q^2298+67121906*p^160*q^2300+422494762*p^158*q^2302+ 4096451420*p^156*q^2304+33086057356*p^154*q^2306+238924647625*p^152*q^2308+ 1154697446018*p^150*q^2310+2579603849837*p^148*q^2312+2288435599496*p^146*q^ 2314+825737871570*p^144*q^2316+115723347376*p^142*q^2318+6166740459*p^140*q^ 2320+181620060*p^138*q^2322+3203898*p^136*q^2324+61264*p^134*q^2326+136*p^132*q ^2328+28*p^167*q^2292+192520*p^165*q^2294+229644*p^163*q^2296+15194004*p^161*q^ 2298+145354588*p^159*q^2300+1386757375*p^157*q^2302+10980614956*p^155*q^2304+ 87278071388*p^153*q^2306+548225867226*p^151*q^2308+1913760912151*p^149*q^2310+ 2779799267514*p^147*q^2312+1608282643859*p^145*q^2314+382992581518*p^143*q^2316 +33263705339*p^141*q^2318+1291213374*p^139*q^2320+33056895*p^137*q^2322+504974* p^135*q^2324+6464*p^133*q^2326+4*p^168*q^2290+10360*p^166*q^2292+737484*p^164*q ^2294+1738240*p^162*q^2296+62961860*p^160*q^2298+379236173*p^158*q^2300+ 3826723928*p^156*q^2302+30196610394*p^154*q^2304+220923362920*p^152*q^2306+ 1101587500761*p^150*q^2308+2605587109220*p^148*q^2310+2438654879949*p^146*q^ 2312+936894974936*p^144*q^2314+141936092955*p^142*q^2316+8072649916*p^140*q^ 2318+246270719*p^138*q^2320+4806636*p^136*q^2322+94401*p^134*q^2324+56*p^132*q^ 2326+12*p^167*q^2290+119368*p^165*q^2292+482980*p^163*q^2294+11814482*p^161*q^ 2296+146949793*p^159*q^2298+1232189968*p^157*q^2300+10066459886*p^155*q^2302+ 80016486836*p^153*q^2304+513302837648*p^151*q^2306+1867862519676*p^149*q^2308+ 2884438902185*p^147*q^2310+1758204500010*p^145*q^2312+449633135210*p^143*q^2314 +42439404860*p^141*q^2316+1737681188*p^139*q^2318+44627946*p^137*q^2320+609122* p^135*q^2322+11166*p^133*q^2324+8*p^131*q^2326+1700*p^166*q^2290+774080*p^164*q ^2292+1199476*p^162*q^2294+54205134*p^160*q^2296+348942220*p^158*q^2298+ 3543392800*p^156*q^2300+27602747148*p^154*q^2302+203317063129*p^152*q^2304+ 1050985538682*p^150*q^2306+2609277294557*p^148*q^2308+2599532300176*p^146*q^ 2310+1053439971546*p^144*q^2312+173846560492*p^142*q^2314+10581483189*p^140*q^ 2316+335666040*p^138*q^2318+7546260*p^136*q^2320+133384*p^134*q^2322+514*p^132* q^2324+168*p^167*q^2288+92484*p^165*q^2290+1086056*p^163*q^2292+8789266*p^161*q ^2294+148305926*p^159*q^2296+1093765476*p^157*q^2298+9249012536*p^155*q^2300+ 73341591935*p^153*q^2302+478027586350*p^151*q^2304+1823445520400*p^149*q^2306+ 2969496529222*p^147*q^2308+1924462124759*p^145*q^2310+523141026628*p^143*q^2312 +53819583471*p^141*q^2314+2315717040*p^139*q^2316+59453107*p^137*q^2318+771322* p^135*q^2320+12144*p^133*q^2322+940*p^166*q^2288+557192*p^164*q^2290+894460*p^ 162*q^2292+45089018*p^160*q^2294+327528912*p^158*q^2296+3239170520*p^156*q^2298 +25117526536*p^154*q^2300+187444935276*p^152*q^2302+996618210038*p^150*q^2304+ 2617499748532*p^148*q^2306+2749231140918*p^146*q^2308+1183932723316*p^144*q^ 2310+210009782829*p^142*q^2312+13756818034*p^140*q^2314+448750083*p^138*q^2316+ 10056834*p^136*q^2318+129624*p^134*q^2320+1600*p^132*q^2322+8*p^167*q^2286+ 29420*p^165*q^2288+1776376*p^163*q^2290+6734864*p^161*q^2292+144303180*p^159*q^ 2294+974889566*p^157*q^2296+8579011559*p^155*q^2298+67270316530*p^153*q^2300+ 446380003762*p^151*q^2302+1769219318310*p^149*q^2304+3057822906948*p^147*q^2306 +2087416253664*p^145*q^2308+605406040797*p^143*q^2310+67615134280*p^141*q^2312+ 3079084630*p^139*q^2314+81543716*p^137*q^2316+1477638*p^135*q^2318+30152*p^133* q^2320+16*p^131*q^2322+1936*p^166*q^2286+494360*p^164*q^2288+1376702*p^162*q^ 2290+36185728*p^160*q^2292+320759880*p^158*q^2294+2952759163*p^156*q^2296+ 22967116250*p^154*q^2298+172289539725*p^152*q^2300+945326158660*p^150*q^2302+ 2601524520285*p^148*q^2304+2907746707798*p^146*q^2306+1318367784972*p^144*q^ 2308+253320167044*p^142*q^2310+17962270274*p^140*q^2312+619666902*p^138*q^2314+ 14428111*p^136*q^2316+123994*p^134*q^2318+1170*p^132*q^2320+2*p^171*q^2280+ 16776*p^165*q^2286+1760720*p^163*q^2288+4431374*p^161*q^2290+133258140*p^159*q^ 2292+869870017*p^157*q^2294+7899493170*p^155*q^2296+61558258425*p^153*q^2298+ 414012011374*p^151*q^2300+1716992794973*p^149*q^2302+3124929701074*p^147*q^2304 +2268198817094*p^145*q^2306+695351832436*p^143*q^2308+84607850224*p^141*q^2310+ 4040154272*p^139*q^2312+106621570*p^137*q^2314+1983518*p^135*q^2316+29334*p^133 *q^2318+152*p^131*q^2320+548*p^166*q^2284+261892*p^164*q^2286+2564952*p^162*q^ 2288+29283490*p^160*q^2290+316350172*p^158*q^2292+2664174132*p^156*q^2294+ 20999145201*p^154*q^2296+158703870050*p^152*q^2298+892521963731*p^150*q^2300+ 2590925177872*p^148*q^2302+3052186777484*p^146*q^2304+1467612171180*p^144*q^ 2306+301101589185*p^142*q^2308+23093973638*p^140*q^2310+829648696*p^138*q^2312+ 19054732*p^136*q^2314+219755*p^134*q^2316+4320*p^132*q^2318+13236*p^165*q^2284+ 1767468*p^163*q^2286+3817964*p^161*q^2288+117743891*p^159*q^2290+793082066*p^ 157*q^2292+7332042421*p^155*q^2294+56331181818*p^153*q^2296+385311807841*p^151* q^2298+1654833445028*p^149*q^2300+3194924598057*p^147*q^2302+2440886740912*p^ 145*q^2304+795750350982*p^143*q^2306+104960254158*p^141*q^2308+5380571392*p^139 *q^2310+152049172*p^137*q^2312+3191030*p^135*q^2314+30600*p^133*q^2316+126*p^ 131*q^2318+36*p^170*q^2278+28*p^166*q^2282+155940*p^164*q^2284+3566128*p^162*q^ 2286+21882892*p^160*q^2288+314026060*p^158*q^2290+2401445307*p^156*q^2292+ 19252886622*p^154*q^2294+145807545528*p^152*q^2296+842596683196*p^150*q^2298+ 2558183306970*p^148*q^2300+3204746073424*p^146*q^2302+1621062929415*p^144*q^ 2304+357357825718*p^142*q^2306+29672116457*p^140*q^2308+1111700148*p^138*q^2310 +24160870*p^136*q^2312+341778*p^134*q^2314+5776*p^132*q^2316+8*p^130*q^2318+ 9464*p^165*q^2282+1359584*p^163*q^2284+4024052*p^161*q^2286+101346172*p^159*q^ 2288+731530634*p^157*q^2290+6714812346*p^155*q^2292+51578337054*p^153*q^2294+ 356292114424*p^151*q^2296+1595939654065*p^149*q^2298+3240720612390*p^147*q^2300 +2632027068689*p^145*q^2302+903050492834*p^143*q^2304+129460986449*p^141*q^2306 +7076157128*p^139*q^2308+206717592*p^137*q^2310+4534544*p^135*q^2312+25075*p^ 133*q^2314+278*p^131*q^2316+12*p^166*q^2280+91976*p^164*q^2282+4281100*p^162*q^ 2284+16845808*p^160*q^2286+300844852*p^158*q^2288+2157921720*p^156*q^2290+ 17714019458*p^154*q^2292+134057531044*p^152*q^2294+792034003086*p^150*q^2296+ 2530416196242*p^148*q^2298+3338778519187*p^146*q^2300+1790789053930*p^144*q^ 2302+418804696975*p^142*q^2304+37824490598*p^140*q^2306+1470572677*p^138*q^2308 +33561914*p^136*q^2310+537446*p^134*q^2312+8024*p^132*q^2314+8*p^130*q^2316+272 *p^169*q^2276+4*p^167*q^2278+1916*p^165*q^2280+916068*p^163*q^2282+5424890*p^ 161*q^2284+84456094*p^159*q^2286+697986850*p^157*q^2288+6172351185*p^155*q^2290 +47137048822*p^153*q^2292+330754742634*p^151*q^2294+1529323001756*p^149*q^2296+ 3288823285042*p^147*q^2298+2812541247360*p^145*q^2300+1022782071778*p^143*q^ 2302+157985911526*p^141*q^2304+9282272504*p^139*q^2306+286112184*p^137*q^2308+ 5463620*p^135*q^2310+49450*p^133*q^2312+932*p^131*q^2314+75438*p^164*q^2280+ 4398246*p^162*q^2282+13838226*p^160*q^2284+280266382*p^158*q^2286+1940668474*p^ 156*q^2288+16325604932*p^154*q^2290+123096434032*p^152*q^2292+744467110504*p^ 150*q^2294+2482225498954*p^148*q^2296+3480390570472*p^146*q^2298+1961844870459* p^144*q^2300+489916562940*p^142*q^2302+48029178507*p^140*q^2304+1987655288*p^ 138*q^2306+47655137*p^136*q^2308+1037908*p^134*q^2310+4484*p^132*q^2312+68*p^ 169*q^2274+788*p^165*q^2278+619728*p^163*q^2280+7375554*p^161*q^2282+67333192*p ^159*q^2284+676598501*p^157*q^2286+5626517304*p^155*q^2288+43153977651*p^153*q^ 2290+305204669254*p^151*q^2292+1466311591143*p^149*q^2294+3311882792972*p^147*q ^2296+3009871146524*p^145*q^2298+1149730997828*p^143*q^2300+192028084262*p^141* q^2302+12096670692*p^139*q^2304+378937060*p^137*q^2306+6960412*p^135*q^2308+ 61316*p^133*q^2310+1314*p^131*q^2312+1120*p^168*q^2274+160*p^166*q^2276+35528*p ^164*q^2278+3610888*p^162*q^2280+11809308*p^160*q^2282+254652316*p^158*q^2284+ 1748431820*p^156*q^2286+15003684669*p^154*q^2288+113083077062*p^152*q^2290+ 696679677212*p^150*q^2292+2438593579114*p^148*q^2294+3600687041915*p^146*q^2296 +2151491410858*p^144*q^2298+566766302134*p^142*q^2300+60386759028*p^140*q^2302+ 2628137423*p^138*q^2304+66015740*p^136*q^2306+1222046*p^134*q^2308+5012*p^132*q ^2310+110*p^130*q^2312+60*p^165*q^2276+417362*p^163*q^2278+9381334*p^161*q^2280 +56096268*p^159*q^2282+650021150*p^157*q^2284+5138456889*p^155*q^2286+ 39584847312*p^153*q^2288+282684991512*p^151*q^2290+1398051608884*p^149*q^2292+ 3338323699069*p^147*q^2294+3192527057118*p^145*q^2296+1290500462378*p^143*q^ 2298+230337546100*p^141*q^2300+15746484248*p^139*q^2302+516653284*p^137*q^2304+ 10122478*p^135*q^2306+189162*p^133*q^2308+1489*p^131*q^2310+994*p^168*q^2272+8* p^166*q^2274+14714*p^164*q^2276+2985712*p^162*q^2278+12801790*p^160*q^2280+ 220416770*p^158*q^2282+1618070751*p^156*q^2284+13830426422*p^154*q^2286+ 103642430326*p^152*q^2288+652349932402*p^150*q^2290+2376030813286*p^148*q^2292+ 3724619769490*p^146*q^2294+2340364962057*p^144*q^2296+654553378422*p^142*q^2298 +75827657423*p^140*q^2300+3512932052*p^138*q^2302+92916799*p^136*q^2304+1514626 *p^134*q^2306+4878*p^132*q^2308+92*p^130*q^2310+2730*p^167*q^2272+1812*p^165*q^ 2274+311124*p^163*q^2276+9569558*p^161*q^2278+44073954*p^159*q^2280+626365134*p ^157*q^2282+4622696154*p^155*q^2284+36316455208*p^153*q^2286+260390631992*p^151 *q^2288+1333182035561*p^149*q^2290+3338445152200*p^147*q^2292+3393486092854*p^ 145*q^2294+1438229809558*p^143*q^2296+275919522619*p^141*q^2298+20226944168*p^ 139*q^2300+689818480*p^137*q^2302+13548470*p^135*q^2304+251726*p^133*q^2306+240 *p^131*q^2308+6*p^129*q^2310+64*p^168*q^2270+4076*p^164*q^2274+2005666*p^162*q^ 2276+15872098*p^160*q^2278+190231660*p^158*q^2280+1499439350*p^156*q^2282+ 12732630602*p^154*q^2284+95119975738*p^152*q^2286+608261900993*p^150*q^2288+ 2319871637994*p^148*q^2290+3825632089383*p^146*q^2292+2547285777674*p^144*q^ 2294+748405913268*p^142*q^2296+93910909874*p^140*q^2298+4641218186*p^138*q^2300 +124364662*p^136*q^2302+2007551*p^134*q^2304+22524*p^132*q^2306+368*p^130*q^ 2308+5940*p^167*q^2270+504*p^165*q^2272+158748*p^163*q^2274+9544960*p^161*q^ 2276+37005336*p^159*q^2278+584650524*p^157*q^2280+4210196137*p^155*q^2282+ 33319921700*p^153*q^2284+240843908335*p^151*q^2286+1264399705042*p^149*q^2288+ 3341583984965*p^147*q^2290+3573663690434*p^145*q^2292+1602131100390*p^143*q^ 2294+326161559388*p^141*q^2296+26118316563*p^139*q^2298+934247260*p^137*q^2300+ 20636853*p^135*q^2302+335316*p^133*q^2304+358*p^131*q^2306+64*p^168*q^2268+4004 *p^166*q^2270+10598*p^164*q^2272+1667244*p^162*q^2274+18362136*p^160*q^2276+ 160668888*p^158*q^2278+1423522354*p^156*q^2280+11680198402*p^154*q^2282+ 87263881450*p^152*q^2284+567553780876*p^150*q^2286+2246372459490*p^148*q^2288+ 3930371684628*p^146*q^2290+2750999783919*p^144*q^2292+855327907392*p^142*q^2294 +115913772922*p^140*q^2296+6123479276*p^138*q^2298+171348689*p^136*q^2300+ 2598976*p^134*q^2302+44386*p^132*q^2304+1680*p^167*q^2268+20*p^165*q^2270+71956 *p^163*q^2272+7743064*p^161*q^2274+34380382*p^159*q^2276+532779946*p^157*q^2278 +3801796266*p^155*q^2280+30650832177*p^153*q^2282+221333065774*p^151*q^2284+ 1199661186812*p^149*q^2286+3319159078400*p^147*q^2288+3770987007919*p^145*q^ 2290+1772068215338*p^143*q^2292+384643671979*p^141*q^2294+33287471938*p^139*q^ 2296+1251436378*p^137*q^2298+27620766*p^135*q^2300+420750*p^133*q^2302+1424*p^ 131*q^2304+51*p^129*q^2306+18746*p^166*q^2268+8596*p^164*q^2270+1127306*p^162*q ^2272+20901410*p^160*q^2274+133220538*p^158*q^2276+1358875848*p^156*q^2278+ 10678062612*p^154*q^2280+80121518342*p^152*q^2282+527828461030*p^150*q^2284+ 2180082431224*p^148*q^2286+4007261234853*p^146*q^2288+2974541375506*p^144*q^ 2290+968077132389*p^142*q^2292+141787583012*p^140*q^2294+7992741923*p^138*q^ 2296+230351624*p^136*q^2298+3959073*p^134*q^2300+58536*p^132*q^2302+20*p^130*q^ 2304+1028*p^167*q^2266+3448*p^165*q^2268+51450*p^163*q^2270+6464016*p^161*q^ 2272+35384256*p^159*q^2274+478958142*p^157*q^2276+3471790101*p^155*q^2278+ 28224642392*p^153*q^2280+204254831109*p^151*q^2282+1132269242740*p^149*q^2284+ 3298947386153*p^147*q^2286+3944456617968*p^145*q^2288+1959474532081*p^143*q^ 2290+448725515884*p^141*q^2292+42296170996*p^139*q^2294+1688124864*p^137*q^2296 +39500235*p^135*q^2298+476406*p^133*q^2300+6002*p^131*q^2302+13944*p^166*q^2266 +1280*p^164*q^2268+651988*p^162*q^2270+21184492*p^160*q^2272+111186464*p^158*q^ 2274+1283477000*p^156*q^2276+9769606782*p^154*q^2278+73393786997*p^152*q^2280+ 491220585148*p^150*q^2282+2099267543869*p^148*q^2284+4089316433040*p^146*q^2286 +3189079632781*p^144*q^2288+1096449787404*p^142*q^2290+171960341325*p^140*q^ 2292+10492511416*p^138*q^2294+314707011*p^136*q^2296+5657412*p^134*q^2298+ 101904*p^132*q^2300+36*p^130*q^2302+3*p^128*q^2304+152*p^167*q^2264+33756*p^165 *q^2266+69722*p^163*q^2268+5382380*p^161*q^2270+38273352*p^159*q^2272+421821464 *p^157*q^2274+3210904494*p^155*q^2276+25938717218*p^153*q^2278+187824172038*p^ 151*q^2280+1069169793572*p^149*q^2282+3254675407734*p^147*q^2284+4131223463240* p^145*q^2286+2152202377514*p^143*q^2288+522477852365*p^141*q^2290+53337670468*p ^139*q^2292+2244131933*p^137*q^2294+53537836*p^135*q^2296+673642*p^133*q^2298+ 6080*p^131*q^2300+8236*p^166*q^2264+2416*p^164*q^2266+347020*p^162*q^2268+ 19166404*p^160*q^2270+96500840*p^158*q^2272+1202924756*p^156*q^2274+8850871954* p^154*q^2276+67500719472*p^152*q^2278+454966095314*p^150*q^2280+2024724388554*p ^148*q^2282+4141658629941*p^146*q^2284+3425547221408*p^144*q^2286+1230822279007 *p^142*q^2288+207177807390*p^140*q^2290+13565774691*p^138*q^2292+422002902*p^ 136*q^2294+7923104*p^134*q^2296+84282*p^132*q^2298+498*p^130*q^2300+54706*p^165 *q^2264+24098*p^163*q^2266+3791488*p^161*q^2268+42806840*p^159*q^2270+365287230 *p^157*q^2272+2994658808*p^155*q^2274+23904892936*p^153*q^2276+173089647102*p^ 151*q^2278+1005735643704*p^149*q^2280+3215227137739*p^147*q^2282+4291227870504* p^145*q^2284+2363122412999*p^143*q^2286+601765593782*p^141*q^2288+66772113431*p ^139*q^2290+2988595486*p^137*q^2292+74732072*p^135*q^2294+1074530*p^133*q^2296+ 22348*p^131*q^2298+3604*p^166*q^2262+35322*p^164*q^2264+372192*p^162*q^2266+ 18057836*p^160*q^2268+89279308*p^158*q^2270+1113068573*p^156*q^2272+8087988104* p^154*q^2274+61947775852*p^152*q^2276+422490747422*p^150*q^2278+1937907850635*p ^148*q^2280+4194225802008*p^146*q^2282+3648082557373*p^144*q^2284+1382922996844 *p^142*q^2286+247616351081*p^140*q^2288+17678577640*p^138*q^2290+584770260*p^ 136*q^2292+11679122*p^134*q^2294+108390*p^132*q^2296+266*p^130*q^2298+60*p^167* q^2260+42792*p^165*q^2262+14546*p^163*q^2264+2366198*p^161*q^2266+43227464*p^ 159*q^2268+309564132*p^157*q^2270+2799613740*p^155*q^2272+21896028133*p^153*q^ 2274+158846170198*p^151*q^2276+945477733669*p^149*q^2278+3151741958468*p^147*q^ 2280+4465931769829*p^145*q^2282+2577858699450*p^143*q^2284+693181858830*p^141*q ^2286+82913406774*p^139*q^2288+3923808736*p^137*q^2290+97789466*p^135*q^2292+ 1317990*p^133*q^2294+17464*p^131*q^2296+16*p^129*q^2298+228*p^166*q^2260+115760 *p^164*q^2262+229766*p^162*q^2264+15150536*p^160*q^2266+87458606*p^158*q^2268+ 1019624296*p^156*q^2270+7371148244*p^154*q^2272+57056906882*p^152*q^2274+ 390805754164*p^150*q^2276+1859614280898*p^148*q^2278+4219235062359*p^146*q^2280 +3889873596762*p^144*q^2282+1540962679783*p^142*q^2284+293768330644*p^140*q^ 2286+22593333711*p^138*q^2288+784194388*p^136*q^2290+16464450*p^134*q^2292+ 189376*p^132*q^2294+3184*p^130*q^2296+31668*p^165*q^2260+26050*p^163*q^2262+ 1773126*p^161*q^2264+44890910*p^159*q^2266+269769388*p^157*q^2268+2636190577*p^ 155*q^2270+20091517806*p^153*q^2272+146394765118*p^151*q^2274+885421076604*p^ 149*q^2276+3092930492930*p^147*q^2278+4605704308488*p^145*q^2280+2812833303945* p^143*q^2282+790407402164*p^141*q^2284+102413544942*p^139*q^2286+5236857958*p^ 137*q^2288+138484382*p^135*q^2290+2251016*p^133*q^2292+14460*p^131*q^2294+4*p^ 129*q^2296+1084*p^166*q^2258+141268*p^164*q^2260+137540*p^162*q^2262+11630630*p ^160*q^2264+86665650*p^158*q^2266+908480913*p^156*q^2268+6764485106*p^154*q^ 2270+52403001411*p^152*q^2272+361866794980*p^150*q^2274+1770885326593*p^148*q^ 2276+4245766734980*p^146*q^2278+4115300707460*p^144*q^2280+1719040873638*p^142* q^2282+345928595666*p^140*q^2284+29008296056*p^138*q^2286+1043734940*p^136*q^ 2288+22036220*p^134*q^2290+197460*p^132*q^2292+4338*p^130*q^2294+7236*p^165*q^ 2258+140768*p^163*q^2260+1414716*p^161*q^2262+42994422*p^159*q^2264+239271696*p ^157*q^2266+2466812890*p^155*q^2268+18385162106*p^153*q^2270+134399031596*p^151 *q^2272+829719394971*p^149*q^2274+3012986083486*p^147*q^2276+4759127476951*p^ 145*q^2278+3047273176884*p^143*q^2280+901701983190*p^141*q^2282+125170948034*p^ 139*q^2284+6846289211*p^137*q^2286+192076858*p^135*q^2288+3256870*p^133*q^2290+ 31852*p^131*q^2292+204*p^129*q^2294+112*p^166*q^2256+148836*p^164*q^2258+83240* p^162*q^2260+8248960*p^160*q^2262+90785944*p^158*q^2264+801072328*p^156*q^2266+ 6238269382*p^154*q^2268+48245089660*p^152*q^2270+333996475690*p^150*q^2272+ 1690012095568*p^148*q^2274+4241354663815*p^146*q^2276+4360172504528*p^144*q^ 2278+1902505141100*p^142*q^2280+405401783284*p^140*q^2282+36730977771*p^138*q^ 2284+1403901954*p^136*q^2286+29317937*p^134*q^2288+337034*p^132*q^2290+1124*p^ 130*q^2292+8932*p^165*q^2256+284390*p^163*q^2258+922476*p^161*q^2260+39359010*p ^159*q^2262+213787716*p^157*q^2264+2306042223*p^155*q^2266+16800761416*p^153*q^ 2268+123846027045*p^151*q^2270+774443090010*p^149*q^2272+2938891264674*p^147*q^ 2274+4876032912712*p^145*q^2276+3303347771462*p^143*q^2278+1019425654210*p^141* q^2280+152041816087*p^139*q^2282+8963642856*p^137*q^2284+259136154*p^135*q^2286 +4766206*p^133*q^2288+32310*p^131*q^2290+884*p^129*q^2292+73152*p^164*q^2256+ 129840*p^162*q^2258+6688050*p^160*q^2260+94148040*p^158*q^2262+710630116*p^156* q^2264+5788837862*p^154*q^2266+44355626086*p^152*q^2268+308968599054*p^150*q^ 2270+1601984392346*p^148*q^2272+4239256386110*p^146*q^2274+4580449901435*p^144* q^2276+2108303864446*p^142*q^2278+471123551661*p^140*q^2280+46529809962*p^138*q ^2282+1894293050*p^136*q^2284+43587020*p^134*q^2286+568750*p^132*q^2288+4780*p^ 130*q^2290+3288*p^165*q^2254+418132*p^163*q^2256+655166*p^161*q^2258+31904176*p ^159*q^2260+198135356*p^157*q^2262+2105688612*p^155*q^2264+15365314195*p^153*q^ 2266+113676349256*p^151*q^2268+722818180706*p^149*q^2270+2845369139526*p^147*q^ 2272+5003504750571*p^145*q^2274+3555694363186*p^143*q^2276+1154188958237*p^141* q^2278+183057640368*p^139*q^2280+11669721247*p^137*q^2282+346255220*p^135*q^ 2284+5848157*p^133*q^2286+34324*p^131*q^2288+32*p^129*q^2290+50716*p^164*q^2254 +367206*p^162*q^2256+4815324*p^160*q^2258+95371690*p^158*q^2260+626584624*p^156 *q^2262+5403018229*p^154*q^2264+40750214350*p^152*q^2266+284828270727*p^150*q^ 2268+1521705706830*p^148*q^2270+4208405510364*p^146*q^2272+4820738136198*p^144* q^2274+2318502685319*p^142*q^2276+545552976440*p^140*q^2278+58057673786*p^138*q ^2280+2497390080*p^136*q^2282+59488231*p^134*q^2284+887048*p^132*q^2286+5844*p^ 130*q^2288+110*p^128*q^2290+380*p^165*q^2252+358188*p^163*q^2254+375340*p^161*q ^2256+26022604*p^159*q^2258+195190814*p^157*q^2260+1919752792*p^155*q^2262+ 14062225248*p^153*q^2264+104898368071*p^151*q^2266+672728172650*p^149*q^2268+ 2759113906385*p^147*q^2270+5091642391478*p^145*q^2272+3829550631397*p^143*q^ 2274+1294810726094*p^141*q^2276+219220675335*p^139*q^2278+15116562408*p^137*q^ 2280+479949430*p^135*q^2282+8860374*p^133*q^2284+82372*p^131*q^2286+464*p^129*q ^2288+56*p^166*q^2250+36300*p^164*q^2252+731040*p^162*q^2254+3794368*p^160*q^ 2256+91546216*p^158*q^2258+548846106*p^156*q^2260+5054613876*p^154*q^2262+ 37435882477*p^152*q^2264+262981414242*p^150*q^2266+1435965819771*p^148*q^2268+ 4178348066734*p^146*q^2270+5031506676107*p^144*q^2272+2552771003886*p^142*q^ 2274+627391110175*p^140*q^2276+72364006562*p^138*q^2278+3348457047*p^136*q^2280 +81581368*p^134*q^2282+1198406*p^132*q^2284+2424*p^130*q^2286+276*p^165*q^2250+ 238128*p^163*q^2252+510838*p^161*q^2254+20501324*p^159*q^2256+194700644*p^157*q ^2258+1736715562*p^155*q^2260+12897195397*p^153*q^2262+96210544250*p^151*q^2264 +626465672564*p^149*q^2266+2655974504556*p^147*q^2268+5189422562064*p^145*q^ 2270+4095642503128*p^143*q^2272+1455821274215*p^141*q^2274+259998089940*p^139*q ^2276+19476238516*p^137*q^2278+637667918*p^135*q^2280+12296776*p^133*q^2282+ 129012*p^131*q^2284+1000*p^129*q^2286+6*p^127*q^2288+8516*p^164*q^2250+986184*p ^162*q^2252+2378608*p^160*q^2254+80821084*p^158*q^2256+492299224*p^156*q^2258+ 4667954961*p^154*q^2260+34357414152*p^152*q^2262+242415860560*p^150*q^2264+ 1357480895192*p^148*q^2266+4121198653513*p^146*q^2268+5260677801936*p^144*q^ 2270+2789593920475*p^142*q^2272+719660285880*p^140*q^2274+88941411761*p^138*q^ 2276+4391525694*p^136*q^2278+111067111*p^134*q^2280+1574398*p^132*q^2282+8370*p ^130*q^2284+16*p^128*q^2286+852*p^165*q^2248+216528*p^163*q^2250+930328*p^161*q ^2252+16648506*p^159*q^2254+201591650*p^157*q^2256+1558481859*p^155*q^2258+ 11958864860*p^153*q^2260+88777736632*p^151*q^2262+581318619824*p^149*q^2264+ 2562080979263*p^147*q^2266+5245848286958*p^145*q^2268+4381912812182*p^143*q^ 2270+1622836683464*p^141*q^2272+306873475719*p^139*q^2274+24943250180*p^137*q^ 2276+876141642*p^135*q^2278+18284762*p^133*q^2280+231213*p^131*q^2282+156*p^129 *q^2284+5822*p^164*q^2248+836560*p^162*q^2250+1875756*p^160*q^2252+70139112*p^ 158*q^2254+447396214*p^156*q^2256+4338899106*p^154*q^2258+31393137620*p^152*q^ 2260+223730826478*p^150*q^2262+1275661765904*p^148*q^2264+4065242575094*p^146*q ^2266+5453051633382*p^144*q^2268+3053828419134*p^142*q^2270+819907218061*p^140* q^2272+109300938336*p^138*q^2274+5807382722*p^136*q^2276+151270122*p^134*q^2278 +2293678*p^132*q^2280+14352*p^130*q^2282+128*p^128*q^2284+104*p^165*q^2246+ 91592*p^163*q^2248+1677606*p^161*q^2250+12364094*p^159*q^2252+196727800*p^157*q ^2254+1385444468*p^155*q^2256+11027471558*p^153*q^2258+81619322250*p^151*q^2260 +539931303293*p^149*q^2262+2453118636260*p^147*q^2264+5312322839797*p^145*q^ 2266+4657193082096*p^143*q^2268+1811974167654*p^141*q^2270+359208405184*p^139*q ^2272+31634505620*p^137*q^2274+1167112298*p^135*q^2276+24383456*p^133*q^2278+ 266824*p^131*q^2280+504*p^129*q^2282+6044*p^164*q^2246+833668*p^162*q^2248+ 1778216*p^160*q^2250+58879630*p^158*q^2252+429531376*p^156*q^2254+3986473303*p^ 154*q^2256+28875158706*p^152*q^2258+205807765517*p^150*q^2260+1201609650184*p^ 148*q^2262+3984058361681*p^146*q^2264+5663424856914*p^144*q^2266+3315345842126* p^142*q^2268+933593624090*p^140*q^2270+132317562090*p^138*q^2272+7609894752*p^ 136*q^2274+208041359*p^134*q^2276+3531134*p^132*q^2278+33192*p^130*q^2280+8*p^ 128*q^2282+58976*p^163*q^2246+1972300*p^161*q^2248+9128212*p^159*q^2250+ 187508808*p^157*q^2252+1229614746*p^155*q^2254+10234367308*p^153*q^2256+ 75106379111*p^151*q^2258+500520474462*p^149*q^2260+2352618733728*p^147*q^2262+ 5334775051790*p^145*q^2264+4952867550393*p^143*q^2266+2008149961120*p^141*q^ 2268+418800244005*p^139*q^2270+39901721226*p^137*q^2272+1569153478*p^135*q^2274 +33313616*p^133*q^2276+381594*p^131*q^2278+1164*p^129*q^2280+8*p^127*q^2282+ 3140*p^164*q^2244+556812*p^162*q^2246+2380858*p^160*q^2248+49281850*p^158*q^ 2250+420740924*p^156*q^2252+3652333396*p^154*q^2254+26478203443*p^152*q^2256+ 190114391912*p^150*q^2258+1124650177093*p^148*q^2260+3907604682614*p^146*q^2262 +5832205457046*p^144*q^2264+3606034900902*p^142*q^2266+1055067789176*p^140*q^ 2268+159924630848*p^138*q^2270+9950612112*p^136*q^2272+287241040*p^134*q^2274+ 5320656*p^132*q^2276+48970*p^130*q^2278+16*p^128*q^2280+37354*p^163*q^2244+ 2216046*p^161*q^2246+7465062*p^159*q^2248+169780673*p^157*q^2250+1096429800*p^ 155*q^2252+9500891997*p^153*q^2254+68956819282*p^151*q^2256+463761740389*p^149* q^2258+2241839919590*p^147*q^2260+5364467011790*p^145*q^2262+5228675086540*p^ 143*q^2264+2229859265181*p^141*q^2266+484792336582*p^139*q^2268+50060777278*p^ 137*q^2270+2090728120*p^135*q^2272+45753382*p^133*q^2274+545646*p^131*q^2276+ 2870*p^129*q^2278+408*p^164*q^2242+368276*p^162*q^2244+3316764*p^160*q^2246+ 37841146*p^158*q^2248+415503894*p^156*q^2250+3305482603*p^154*q^2252+ 24335843110*p^152*q^2254+174872027189*p^150*q^2256+1055266427170*p^148*q^2258+ 3806393025484*p^146*q^2260+6018452099296*p^144*q^2262+3892888247912*p^142*q^ 2264+1192809747360*p^140*q^2266+190801462228*p^138*q^2268+12828168286*p^136*q^ 2270+385970411*p^134*q^2272+6692678*p^132*q^2274+53140*p^130*q^2276+48*p^128*q^ 2278+30704*p^163*q^2242+2052972*p^161*q^2244+5882942*p^159*q^2246+153426756*p^ 157*q^2248+1000726224*p^155*q^2250+8812443692*p^153*q^2252+63529594052*p^151*q^ 2254+429117105200*p^149*q^2256+2139982959225*p^147*q^2258+5353917958288*p^145*q ^2260+5524953110886*p^143*q^2262+2454999070776*p^141*q^2264+559520966811*p^139* q^2266+62112431410*p^137*q^2268+2802091641*p^135*q^2270+65049714*p^133*q^2272+ 1072924*p^131*q^2274+8114*p^129*q^2276+200*p^164*q^2240+246648*p^162*q^2242+ 4236284*p^160*q^2244+32079538*p^158*q^2246+402985623*p^156*q^2248+2982481448*p^ 154*q^2250+22448518669*p^152*q^2252+161325863106*p^150*q^2254+985014410474*p^ 148*q^2256+3709440961180*p^146*q^2258+6157162740739*p^144*q^2260+4208021455268* p^142*q^2262+1339929350976*p^140*q^2264+227322837202*p^138*q^2266+16607189322*p ^136*q^2268+531200462*p^134*q^2270+9755110*p^132*q^2272+71160*p^130*q^2274+140* p^128*q^2276+52*p^165*q^2238+10484*p^163*q^2240+1574756*p^161*q^2242+6176414*p^ 159*q^2244+128545054*p^157*q^2246+930182816*p^155*q^2248+8146863465*p^153*q^ 2250+58171711818*p^151*q^2252+397202342368*p^149*q^2254+2028359017008*p^147*q^ 2256+5349741049664*p^145*q^2258+5796702542988*p^143*q^2260+2710436799705*p^141* q^2262+641532735594*p^139*q^2264+76717785928*p^137*q^2266+3690011334*p^135*q^ 2268+86066786*p^133*q^2270+1236382*p^131*q^2272+6544*p^129*q^2274+177932*p^162* q^2240+4904936*p^160*q^2242+24195302*p^158*q^2244+385927466*p^156*q^2246+ 2672195506*p^154*q^2248+20726281238*p^152*q^2250+148527794677*p^150*q^2252+ 921419341680*p^148*q^2254+3594058835827*p^146*q^2256+6311574638332*p^144*q^2258 +4515347664747*p^142*q^2260+1505244052774*p^140*q^2262+267256721251*p^138*q^ 2264+21165516684*p^136*q^2266+713134991*p^134*q^2268+13721074*p^132*q^2270+ 171544*p^130*q^2272+824*p^128*q^2274+4624*p^163*q^2238+1277838*p^161*q^2240+ 7229816*p^159*q^2242+111512368*p^157*q^2244+893377907*p^155*q^2246+7496100158*p ^153*q^2248+53610039007*p^151*q^2250+366953381320*p^149*q^2252+1927337642896*p^ 147*q^2254+5303416250220*p^145*q^2256+6085721842816*p^143*q^2258+2967253688476* p^141*q^2260+734485763092*p^139*q^2262+93924289628*p^137*q^2264+4903376698*p^ 135*q^2266+124033052*p^133*q^2268+1926274*p^131*q^2270+8388*p^129*q^2272+4*p^ 127*q^2274+788*p^164*q^2236+112764*p^162*q^2238+4632126*p^160*q^2240+19687314*p ^158*q^2242+354490436*p^156*q^2244+2392473096*p^154*q^2246+19189671237*p^152*q^ 2248+136883639498*p^150*q^2250+857451413997*p^148*q^2252+3483147873378*p^146*q^ 2254+6415561767431*p^144*q^2256+4852479983326*p^142*q^2258+1680897625131*p^140* q^2260+314253235090*p^138*q^2262+26908282297*p^136*q^2264+965371544*p^134*q^ 2266+17941325*p^132*q^2268+221604*p^130*q^2270+920*p^128*q^2272+936*p^163*q^ 2236+847736*p^161*q^2238+8795160*p^159*q^2240+93086540*p^157*q^2242+857694736*p ^155*q^2244+6879134286*p^153*q^2246+49134350444*p^151*q^2248+339355807199*p^149 *q^2250+1819485924332*p^147*q^2252+5266241211215*p^145*q^2254+6344010457966*p^ 143*q^2256+3255913452718*p^141*q^2258+835241949968*p^139*q^2260+114146668575*p^ 137*q^2262+6414521842*p^135*q^2264+168069969*p^133*q^2266+2860562*p^131*q^2268+ 19676*p^129*q^2270+32*p^127*q^2272+96*p^164*q^2234+54124*p^162*q^2236+4486556*p ^160*q^2238+17695024*p^158*q^2240+318565462*p^156*q^2242+2175584944*p^154*q^ 2244+17757644810*p^152*q^2246+125961239750*p^150*q^2248+800062257144*p^148*q^ 2250+3354616518296*p^146*q^2252+6534249881246*p^144*q^2254+5174447993027*p^142* q^2256+1878338793926*p^140*q^2258+365607377588*p^138*q^2260+33953411106*p^136*q ^2262+1297150501*p^134*q^2264+25290500*p^132*q^2266+299804*p^130*q^2268+748*p^ 128*q^2270+5284*p^163*q^2234+686256*p^161*q^2236+9609904*p^159*q^2238+74571928* p^157*q^2240+829087486*p^155*q^2242+6239540306*p^153*q^2244+45337880656*p^151*q ^2246+313121937984*p^149*q^2248+1721134336052*p^147*q^2250+5189702770806*p^145* q^2252+6620144861790*p^143*q^2254+3544648793864*p^141*q^2256+949593247059*p^139 *q^2258+137222317980*p^137*q^2260+8359691975*p^135*q^2262+231140568*p^133*q^ 2264+3742270*p^131*q^2266+37748*p^129*q^2268+124*p^127*q^2270+21592*p^162*q^ 2234+3440552*p^160*q^2236+17729242*p^158*q^2238+287560680*p^156*q^2240+ 2007314556*p^154*q^2242+16448445500*p^152*q^2244+116049843220*p^150*q^2246+ 743159042825*p^148*q^2248+3234001336924*p^146*q^2250+6598049302142*p^144*q^2252 +5526745575604*p^142*q^2254+2084653291143*p^140*q^2256+424928125888*p^138*q^ 2258+42651760119*p^136*q^2260+1757527842*p^134*q^2262+36953645*p^132*q^2264+ 584368*p^130*q^2266+1718*p^128*q^2268+2808*p^163*q^2232+420592*p^161*q^2234+ 10786972*p^159*q^2236+61664308*p^157*q^2238+776218106*p^155*q^2240+5645152962*p ^153*q^2242+41689545690*p^151*q^2244+289411040383*p^149*q^2246+1618011707984*p^ 147*q^2248+5120181512162*p^145*q^2250+6856372352180*p^143*q^2252+3868640810810* p^141*q^2254+1073233725530*p^139*q^2256+164597895330*p^137*q^2258+10799757034*p ^135*q^2260+313100159*p^133*q^2262+4622144*p^131*q^2264+31290*p^129*q^2266+32*p ^127*q^2268+4*p^164*q^2230+23854*p^162*q^2232+2876592*p^160*q^2234+17931244*p^ 158*q^2236+246262502*p^156*q^2238+1879854100*p^154*q^2240+15200735694*p^152*q^ 2242+106646569394*p^150*q^2244+691351942166*p^148*q^2246+3099160904683*p^146*q^ 2248+6677143900114*p^144*q^2250+5859502255979*p^142*q^2252+2316372326792*p^140* q^2254+489325659511*p^138*q^2256+52881695308*p^136*q^2258+2324579714*p^134*q^ 2260+50333488*p^132*q^2262+775446*p^130*q^2264+5070*p^128*q^2266+8*p^126*q^2268 +228*p^163*q^2230+224628*p^161*q^2232+10311746*p^159*q^2234+52670912*p^157*q^ 2236+734118878*p^155*q^2238+5115752288*p^153*q^2240+38561023253*p^151*q^2242+ 267028466376*p^149*q^2244+1525657608889*p^147*q^2246+5015563231576*p^145*q^2248 +7109140168801*p^143*q^2250+4186214796064*p^141*q^2252+1213122067271*p^139*q^ 2254+195020557974*p^137*q^2256+13965129252*p^135*q^2258+435393172*p^133*q^2260+ 7158049*p^131*q^2262+98906*p^129*q^2264+138*p^127*q^2266+28684*p^162*q^2230+ 2224864*p^160*q^2232+20137280*p^158*q^2234+211302884*p^156*q^2236+1771484630*p^ 154*q^2238+13971108240*p^152*q^2240+98258860168*p^150*q^2242+640924385585*p^148 *q^2244+2970780090216*p^146*q^2246+6700158834181*p^144*q^2248+6220261462440*p^ 142*q^2250+2557354528561*p^140*q^2252+563789609078*p^138*q^2254+65360210043*p^ 136*q^2256+3103014546*p^134*q^2258+70598133*p^132*q^2260+957902*p^130*q^2262+ 2120*p^128*q^2264+320*p^163*q^2228+126508*p^161*q^2230+9200802*p^159*q^2232+ 46426214*p^157*q^2234+669160424*p^155*q^2236+4649963830*p^153*q^2238+ 35564224212*p^151*q^2240+246490501239*p^149*q^2242+1428958450974*p^147*q^2244+ 4919549311994*p^145*q^2246+7317349695886*p^143*q^2248+4542939665226*p^141*q^ 2250+1362898320300*p^139*q^2252+230630604207*p^137*q^2254+17832297514*p^135*q^ 2256+583500446*p^133*q^2258+9816712*p^131*q^2260+142760*p^129*q^2262+424*p^127* q^2264+6488*p^162*q^2228+1449464*p^160*q^2230+22252960*p^158*q^2232+175945104*p ^156*q^2234+1681699646*p^154*q^2236+12801862894*p^152*q^2238+90362534880*p^150* q^2240+595467500468*p^148*q^2242+2833438057944*p^146*q^2244+6736435782446*p^144 *q^2246+6554780080069*p^142*q^2248+2826334719818*p^140*q^2250+644030474947*p^ 138*q^2252+79855579860*p^136*q^2254+4059896156*p^134*q^2256+98100568*p^132*q^ 2258+1190326*p^130*q^2260+10804*p^128*q^2262+8*p^126*q^2264+12*p^163*q^2226+ 166480*p^161*q^2228+8273944*p^159*q^2230+42933828*p^157*q^2232+610909846*p^155* q^2234+4251209346*p^153*q^2236+32975228376*p^151*q^2238+227242404042*p^149*q^ 2240+1342531129465*p^147*q^2242+4790428554396*p^145*q^2244+7538782307590*p^143* q^2246+4889501892692*p^141*q^2248+1531805147977*p^139*q^2250+269950433704*p^137 *q^2252+22741763676*p^135*q^2254+806293836*p^133*q^2256+14609140*p^131*q^2258+ 234690*p^129*q^2260+130*p^127*q^2262+48*p^164*q^2224+5888*p^162*q^2226+840706*p ^160*q^2228+22445070*p^158*q^2230+151582848*p^156*q^2232+1587881992*p^154*q^ 2234+11700673626*p^152*q^2236+83309271978*p^150*q^2238+550998314387*p^148*q^ 2240+2703660899264*p^146*q^2242+6717048700085*p^144*q^2244+6916923148544*p^142* q^2246+3102962221063*p^140*q^2248+736951827622*p^138*q^2250+96987651390*p^136*q ^2252+5347742970*p^134*q^2254+134569937*p^132*q^2256+1657206*p^130*q^2258+21848 *p^128*q^2260+16*p^126*q^2262+8*p^163*q^2224+78188*p^161*q^2226+6455216*p^159*q ^2228+43358362*p^157*q^2230+532661486*p^155*q^2232+3924975031*p^153*q^2234+ 30361979928*p^151*q^2236+209653851284*p^149*q^2238+1253787462628*p^147*q^2240+ 4671300850632*p^145*q^2242+7709982081058*p^143*q^2244+5275256454898*p^141*q^ 2246+1711803192708*p^139*q^2248+315420140784*p^137*q^2250+28650916696*p^135*q^ 2252+1075744039*p^133*q^2254+20450642*p^131*q^2256+226980*p^129*q^2258+554*p^ 127*q^2260+1140*p^162*q^2224+753756*p^160*q^2226+22698228*p^158*q^2228+ 129273952*p^156*q^2230+1495387578*p^154*q^2232+10676912024*p^152*q^2234+ 76790823091*p^150*q^2236+511240676228*p^148*q^2238+2566162931544*p^146*q^2240+ 6712221781620*p^144*q^2242+7244638067353*p^142*q^2244+3411379198238*p^140*q^ 2246+836451749874*p^138*q^2248+116787699804*p^136*q^2250+6960497005*p^134*q^ 2252+186121784*p^132*q^2254+2592100*p^130*q^2256+45170*p^128*q^2258+6*p^126*q^ 2260+728*p^163*q^2222+56096*p^161*q^2224+4521912*p^159*q^2226+44869558*p^157*q^ 2228+467376060*p^155*q^2230+3657921978*p^153*q^2232+28073599189*p^151*q^2234+ 193121670398*p^149*q^2236+1174229660817*p^147*q^2238+4523100530804*p^145*q^2240 +7894433404258*p^143*q^2242+5645358540140*p^141*q^2244+1914386006763*p^139*q^ 2246+365254053176*p^137*q^2248+35964687592*p^135*q^2250+1443333550*p^133*q^2252 +28989806*p^131*q^2254+234508*p^129*q^2256+2588*p^127*q^2258+628*p^162*q^2222+ 546744*p^160*q^2224+20611878*p^158*q^2226+112541394*p^156*q^2228+1386241300*p^ 154*q^2230+9709718227*p^152*q^2232+70927235632*p^150*q^2234+472608958464*p^148* q^2236+2438109935870*p^146*q^2238+6651774260951*p^144*q^2240+7598983315232*p^ 142*q^2242+3725019706341*p^140*q^2244+950834527146*p^138*q^2246+139646266183*p^ 136*q^2248+9050904730*p^134*q^2250+261336906*p^132*q^2252+3936962*p^130*q^2254+ 66625*p^128*q^2256+10*p^126*q^2258+88*p^163*q^2220+25108*p^161*q^2222+3310776*p ^159*q^2224+48800068*p^157*q^2226+408143002*p^155*q^2228+3432948258*p^153*q^ 2230+25842158484*p^151*q^2232+178200892688*p^149*q^2234+1093724470296*p^147*q^ 2236+4385775789090*p^145*q^2238+8021078000314*p^143*q^2240+6057120708176*p^141* q^2242+2127619344354*p^139*q^2244+423084829723*p^137*q^2246+44617227964*p^135*q ^2248+1926874963*p^133*q^2250+39088142*p^131*q^2252+359324*p^129*q^2254+4692*p^ 127*q^2256+4770*p^162*q^2220+365140*p^160*q^2222+17289074*p^158*q^2224+ 100632446*p^156*q^2226+1252973151*p^154*q^2228+8868038076*p^152*q^2230+ 65302768536*p^150*q^2232+437594893416*p^148*q^2234+2304383130302*p^146*q^2236+ 6604724652818*p^144*q^2238+7911910460272*p^142*q^2240+4074658289758*p^140*q^ 2242+1073602832612*p^138*q^2244+165807720868*p^136*q^2246+11643987516*p^134*q^ 2248+350290948*p^132*q^2250+5612300*p^130*q^2252+32758*p^128*q^2254+164*p^126*q ^2256+10676*p^161*q^2220+2718448*p^159*q^2222+49570676*p^157*q^2224+352420938*p ^155*q^2226+3241669204*p^153*q^2228+23794803312*p^151*q^2230+164373578486*p^149 *q^2232+1022202463215*p^147*q^2234+4225205877602*p^145*q^2236+8162927951561*p^ 143*q^2238+6444324131642*p^141*q^2240+2366782886350*p^139*q^2242+485490295914*p ^137*q^2244+54991291836*p^135*q^2246+2551099730*p^133*q^2248+57361897*p^131*q^ 2250+678748*p^129*q^2252+18008*p^127*q^2254+2376*p^162*q^2218+253352*p^160*q^ 2220+13293828*p^158*q^2222+100657154*p^156*q^2224+1141643622*p^154*q^2226+ 8136670025*p^152*q^2228+60440969072*p^150*q^2230+404063036257*p^148*q^2232+ 2179745240416*p^146*q^2234+6505499926082*p^144*q^2236+8245931911396*p^142*q^ 2238+4425288541127*p^140*q^2240+1214437623132*p^138*q^2242+195646411613*p^136*q ^2244+15030708434*p^134*q^2246+489418234*p^132*q^2248+7965124*p^130*q^2250+ 35070*p^128*q^2252+156*p^126*q^2254+21986*p^161*q^2218+1892628*p^159*q^2220+ 47839560*p^157*q^2222+297773440*p^155*q^2224+3008678312*p^153*q^2226+ 21750510106*p^151*q^2228+151455940227*p^149*q^2230+949712471240*p^147*q^2232+ 4074355594266*p^145*q^2234+8243924577616*p^143*q^2236+6876398221968*p^141*q^ 2238+2617999356788*p^139*q^2240+557993624593*p^137*q^2242+67167419386*p^135*q^ 2244+3341234184*p^133*q^2246+76003632*p^131*q^2248+917086*p^129*q^2250+8414*p^ 127*q^2252+222*p^162*q^2216+114140*p^160*q^2218+10906096*p^158*q^2220+102619478 *p^156*q^2222+1018983158*p^154*q^2224+7556680088*p^152*q^2226+55750450238*p^150 *q^2228+374331605036*p^148*q^2230+2052726485607*p^146*q^2232+6422152597950*p^ 144*q^2234+8533522621990*p^142*q^2236+4813928651802*p^140*q^2238+1363004443861* p^138*q^2240+229469946404*p^136*q^2242+18979003081*p^134*q^2244+656652226*p^132 *q^2246+11513785*p^130*q^2248+96670*p^128*q^2250+2897*p^126*q^2252+21664*p^161* q^2216+1555496*p^159*q^2218+42376090*p^157*q^2220+262391280*p^155*q^2222+ 2806130382*p^153*q^2224+19916131324*p^151*q^2226+139764210956*p^149*q^2228+ 884872500992*p^147*q^2230+3905000432020*p^145*q^2232+8333766121990*p^143*q^2234 +7275742425472*p^141*q^2236+2898240760841*p^139*q^2238+636758296896*p^137*q^ 2240+81584449900*p^135*q^2242+4449919474*p^133*q^2244+111246218*p^131*q^2246+ 1480080*p^129*q^2248+2068*p^127*q^2250+188*p^162*q^2214+119918*p^160*q^2216+ 8251280*p^158*q^2218+105202948*p^156*q^2220+897525656*p^154*q^2222+7002058320*p ^152*q^2224+51570716988*p^150*q^2226+345171676703*p^148*q^2228+1935920767864*p^ 146*q^2230+6287618711196*p^144*q^2232+8842877237650*p^142*q^2234+5200960393518* p^140*q^2236+1534071407918*p^138*q^2238+267354653308*p^136*q^2240+24014594434*p ^134*q^2242+874351436*p^132*q^2244+15218330*p^130*q^2246+131750*p^128*q^2248+ 2970*p^126*q^2250+6062*p^161*q^2214+879798*p^159*q^2216+36201418*p^157*q^2218+ 239408538*p^155*q^2220+2591126862*p^153*q^2222+18214080496*p^151*q^2224+ 128896779229*p^149*q^2226+821070945846*p^147*q^2228+3745829554337*p^145*q^2230+ 8364803140466*p^143*q^2232+7715623396531*p^141*q^2234+3189222862134*p^139*q^ 2236+727081255529*p^137*q^2238+98116222376*p^135*q^2240+5804196354*p^133*q^2242 +155005500*p^131*q^2244+2217946*p^129*q^2246+9928*p^127*q^2248+199*p^125*q^2250 +30*p^162*q^2212+113316*p^160*q^2214+6928492*p^158*q^2216+104406838*p^156*q^ 2218+778254474*p^154*q^2220+6530057376*p^152*q^2222+47433969846*p^150*q^2224+ 319556514694*p^148*q^2226+1815739855795*p^146*q^2228+6172169613950*p^144*q^2230 +9093345971282*p^142*q^2232+5630020502696*p^140*q^2234+1714214238799*p^138*q^ 2236+310750448714*p^136*q^2238+29945372863*p^134*q^2240+1171377494*p^132*q^2242 +21633991*p^130*q^2244+204182*p^128*q^2246+52*p^126*q^2248+4*p^163*q^2210+4112* p^161*q^2212+727834*p^159*q^2214+29906154*p^157*q^2216+228564250*p^155*q^2218+ 2375857996*p^153*q^2220+16741579472*p^151*q^2222+119015934742*p^149*q^2224+ 763685072142*p^147*q^2226+3573726469270*p^145*q^2228+8405145136329*p^143*q^2230 +8117821531618*p^141*q^2232+3512834322831*p^139*q^2234+824592200474*p^137*q^ 2236+117286331432*p^135*q^2238+7542320986*p^133*q^2240+212069189*p^131*q^2242+ 3030062*p^129*q^2244+18182*p^127*q^2246+736*p^125*q^2248+8*p^162*q^2210+66114*p ^160*q^2212+4889316*p^158*q^2214+97600098*p^156*q^2216+683246140*p^154*q^2218+ 6076754744*p^152*q^2220+43729159544*p^150*q^2222+294679399472*p^148*q^2224+ 1706509322220*p^146*q^2226+6007941548434*p^144*q^2228+9365950822732*p^142*q^ 2230+6049122478578*p^140*q^2232+1919785147360*p^138*q^2234+358819809686*p^136*q ^2236+37317409444*p^134*q^2238+1583178839*p^132*q^2240+32978862*p^130*q^2242+ 394113*p^128*q^2244+636*p^126*q^2246+44*p^163*q^2208+1225*p^161*q^2210+549836*p ^159*q^2212+25096270*p^157*q^2214+227439574*p^155*q^2216+2139034442*p^153*q^ 2218+15395174396*p^151*q^2220+109956409146*p^149*q^2222+707305645962*p^147*q^ 2224+3412649433821*p^145*q^2226+8383174914624*p^143*q^2228+8560848765251*p^141* q^2230+3846026786888*p^139*q^2232+936981388773*p^137*q^2234+139086028922*p^135* q^2236+9701944452*p^133*q^2238+284454696*p^131*q^2240+3675808*p^129*q^2242+ 17796*p^127*q^2244+140*p^162*q^2208+43176*p^160*q^2210+3754542*p^158*q^2212+ 87757802*p^156*q^2214+597095554*p^154*q^2216+5669453998*p^152*q^2218+ 40085597917*p^150*q^2220+272397860802*p^148*q^2222+1596131881849*p^146*q^2224+ 5862098843890*p^144*q^2226+9573580115636*p^142*q^2228+6514085908308*p^140*q^ 2230+2135273703136*p^138*q^2232+413724127982*p^136*q^2234+45756560671*p^134*q^ 2236+2103617062*p^132*q^2238+45665382*p^130*q^2240+593014*p^128*q^2242+2150*p^ 126*q^2244+102*p^124*q^2246+396*p^161*q^2208+411660*p^159*q^2210+20380194*p^157 *q^2212+223090670*p^155*q^2214+1921384814*p^153*q^2216+14244387149*p^151*q^2218 +101538215208*p^149*q^2220+657425945303*p^147*q^2222+3241430650766*p^145*q^2224 +8374265189815*p^143*q^2226+8953828909254*p^141*q^2228+4216282351718*p^139*q^ 2230+1056904325446*p^137*q^2232+164029809057*p^135*q^2234+12437589212*p^133*q^ 2236+388916758*p^131*q^2238+6147718*p^129*q^2240+52678*p^127*q^2242+20*p^125*q^ 2244+676*p^162*q^2206+22351*p^160*q^2208+2936248*p^158*q^2210+77118092*p^156*q^ 2212+549398506*p^154*q^2214+5250941328*p^152*q^2216+36871402780*p^150*q^2218+ 251366704115*p^148*q^2220+1495075836172*p^146*q^2222+5675894868662*p^144*q^2224 +9796817641574*p^142*q^2226+6961088008177*p^140*q^2228+2380249127894*p^138*q^ 2230+474472617202*p^136*q^2232+56143556488*p^134*q^2234+2797048023*p^132*q^2236 +65698062*p^130*q^2238+663438*p^128*q^2240+964*p^126*q^2242+1778*p^161*q^2206+ 305224*p^159*q^2208+15781542*p^157*q^2210+213737748*p^155*q^2212+1693886490*p^ 153*q^2214+13156300992*p^151*q^2216+93768865300*p^149*q^2218+607799428774*p^147 *q^2220+3081640465121*p^145*q^2222+8302570233702*p^143*q^2224+9388885886557*p^ 141*q^2226+4594322597098*p^139*q^2228+1195416723599*p^137*q^2230+192086497726*p ^135*q^2232+15758843481*p^133*q^2234+525503312*p^131*q^2236+8311170*p^129*q^ 2238+99608*p^127*q^2240+170*p^125*q^2242+6*p^123*q^2244+80*p^162*q^2204+7076*p^ 160*q^2206+2020284*p^158*q^2208+67255724*p^156*q^2210+513030544*p^154*q^2212+ 4839112862*p^152*q^2214+33850463938*p^150*q^2216+232339901770*p^148*q^2218+ 1395213134445*p^146*q^2220+5508272578552*p^144*q^2222+9954529621628*p^142*q^ 2224+7455254563518*p^140*q^2226+2634004625774*p^138*q^2228+543424949608*p^136*q ^2230+67752538443*p^134*q^2232+3665600362*p^132*q^2234+88062284*p^130*q^2236+ 989624*p^128*q^2238+4060*p^126*q^2240+4620*p^161*q^2204+214751*p^159*q^2206+ 13480288*p^157*q^2208+200248058*p^155*q^2210+1502555714*p^153*q^2212+ 12255946964*p^151*q^2214+86446149418*p^149*q^2216+564453605518*p^147*q^2218+ 2914757715850*p^145*q^2220+8242181542846*p^143*q^2222+9763578183142*p^141*q^ 2224+5011645279741*p^139*q^2226+1342880235984*p^137*q^2228+224397992101*p^135*q ^2230+19889358562*p^133*q^2232+723683879*p^131*q^2234+13561518*p^129*q^2236+ 134040*p^127*q^2238+36*p^125*q^2240+4*p^162*q^2202+14222*p^160*q^2204+1657076*p ^158*q^2206+55107198*p^156*q^2208+489199186*p^154*q^2210+4421614004*p^152*q^ 2212+31152917680*p^150*q^2214+214408292170*p^148*q^2216+1303429932402*p^146*q^ 2218+5305494848436*p^144*q^2220+10125741995370*p^142*q^2222+7925622030273*p^140 *q^2224+2922954794110*p^138*q^2226+619328606876*p^136*q^2228+81620470658*p^134* q^2230+4806447573*p^132*q^2232+120184146*p^130*q^2234+1330516*p^128*q^2236+ 12572*p^126*q^2238+6*p^124*q^2240+2198*p^161*q^2202+91140*p^159*q^2204+9482230* p^157*q^2206+184836742*p^155*q^2208+1341466574*p^153*q^2210+11340395670*p^151*q ^2212+79691171174*p^149*q^2214+521429855130*p^147*q^2216+2760481078635*p^145*q^ 2218+8122626718626*p^143*q^2220+10176283294226*p^141*q^2222+5433488339860*p^139 *q^2224+1511539760973*p^137*q^2226+260120095726*p^135*q^2228+24892549551*p^133* q^2230+964946616*p^131*q^2232+18779972*p^129*q^2234+161546*p^127*q^2236+112*p^ 125*q^2238+8*p^162*q^2200+21464*p^160*q^2202+1312896*p^158*q^2204+48632382*p^ 156*q^2206+465203148*p^154*q^2208+4004272386*p^152*q^2210+28692588425*p^150*q^ 2212+198391724376*p^148*q^2214+1213529124830*p^146*q^2216+5122013586618*p^144*q ^2218+10225724222624*p^142*q^2220+8442313203196*p^140*q^2222+3220674007334*p^ 138*q^2224+705862424150*p^136*q^2226+97220267051*p^134*q^2228+6198690498*p^132* q^2230+167923771*p^130*q^2232+2183488*p^128*q^2234+21576*p^126*q^2236+264*p^161 *q^2200+93464*p^159*q^2202+7595288*p^157*q^2204+161827454*p^155*q^2206+ 1217454136*p^153*q^2208+10549079775*p^151*q^2210+73334144216*p^149*q^2212+ 483500032933*p^147*q^2214+2600661188296*p^145*q^2216+8018120401099*p^143*q^2218 +10520087484630*p^141*q^2220+5899421678864*p^139*q^2222+1690078108516*p^137*q^ 2224+301249476350*p^135*q^2226+30798773050*p^133*q^2228+1309368059*p^131*q^2230 +25715234*p^129*q^2232+207354*p^127*q^2234+1068*p^125*q^2236+20816*p^160*q^2200 +798270*p^158*q^2202+38837124*p^156*q^2204+445769426*p^154*q^2206+3598378472*p^ 152*q^2208+26506293400*p^150*q^2210+183104777948*p^148*q^2212+1131829794264*p^ 146*q^2214+4909460326169*p^144*q^2216+10338518953926*p^142*q^2218+8925836604288 *p^140*q^2220+3556454307920*p^138*q^2222+800564845225*p^136*q^2224+115452020978 *p^134*q^2226+8031526332*p^132*q^2228+230363624*p^130*q^2230+3698121*p^128*q^ 2232+31380*p^126*q^2234+340*p^161*q^2198+97680*p^159*q^2200+6163502*p^157*q^ 2202+145215832*p^155*q^2204+1118152102*p^153*q^2206+9738843176*p^151*q^2208+ 67593815631*p^149*q^2210+446473241194*p^147*q^2212+2453897094782*p^145*q^2214+ 7854324486962*p^143*q^2216+10901465224221*p^141*q^2218+6362990257180*p^139*q^ 2220+1894531519701*p^137*q^2222+346541051788*p^135*q^2224+37945550747*p^133*q^ 2226+1731138566*p^131*q^2228+35642771*p^129*q^2230+249940*p^127*q^2232+2044*p^ 125*q^2234+6268*p^160*q^2198+570986*p^158*q^2200+30798736*p^156*q^2202+ 411508044*p^154*q^2204+3227816602*p^152*q^2206+24461683382*p^150*q^2208+ 169191278412*p^148*q^2210+1051584876100*p^146*q^2212+4715672038380*p^144*q^2214 +10377985444425*p^142*q^2216+9458558567218*p^140*q^2218+3901573553305*p^138*q^ 2220+908410329994*p^136*q^2222+135715001592*p^134*q^2224+10225608414*p^132*q^ 2226+315330569*p^130*q^2228+4936264*p^128*q^2230+35322*p^126*q^2232+48*p^124*q^ 2234+20*p^161*q^2196+110034*p^159*q^2198+4666060*p^157*q^2200+127066358*p^155*q ^2202+1046133872*p^153*q^2204+8983284801*p^151*q^2206+62214281914*p^149*q^2208+ 414014740462*p^147*q^2210+2304950233748*p^145*q^2212+7710019295671*p^143*q^2214 +11202580234178*p^141*q^2216+6873983374384*p^139*q^2218+2108486328542*p^137*q^ 2220+398331928536*p^135*q^2222+46166408512*p^133*q^2224+2297915963*p^131*q^2226 +50451462*p^129*q^2228+616242*p^127*q^2230+5208*p^125*q^2232+5240*p^160*q^2196+ 513174*p^158*q^2198+25211259*p^156*q^2200+380028034*p^154*q^2202+2910670176*p^ 152*q^2204+22692014300*p^150*q^2206+156107963227*p^148*q^2208+978947504304*p^ 146*q^2210+4498954800192*p^144*q^2212+10427031933392*p^142*q^2214+9943269862720 *p^140*q^2216+4290337755692*p^138*q^2218+1025539214144*p^136*q^2220+ 159548560340*p^134*q^2222+13046717404*p^132*q^2224+440104874*p^130*q^2226+ 7292841*p^128*q^2228+23748*p^126*q^2230+84*p^124*q^2232+8*p^161*q^2194+67960*p^ 159*q^2196+3258192*p^157*q^2198+106797254*p^155*q^2200+978614546*p^153*q^2202+ 8174942930*p^151*q^2204+57299403489*p^149*q^2206+382069310588*p^147*q^2208+ 2166792986383*p^145*q^2210+7511395706050*p^143*q^2212+11540383674359*p^141*q^ 2214+7379042187142*p^139*q^2216+2353047441285*p^137*q^2218+455745557844*p^135*q ^2220+55853371422*p^133*q^2222+2996276148*p^131*q^2224+67389978*p^129*q^2226+ 789594*p^127*q^2228+6854*p^125*q^2230+1116*p^160*q^2194+458548*p^158*q^2196+ 20338804*p^156*q^2198+346642180*p^154*q^2200+2631078354*p^152*q^2202+ 21016763981*p^150*q^2204+144247420472*p^148*q^2206+908269037596*p^146*q^2208+ 4302801433040*p^144*q^2210+10405756567274*p^142*q^2212+10477428919726*p^140*q^ 2214+4683192481728*p^138*q^2216+1158910109224*p^136*q^2218+185289268836*p^134*q ^2220+16370802472*p^132*q^2222+591498734*p^130*q^2224+10116200*p^128*q^2226+ 75025*p^126*q^2228+492*p^124*q^2230+46857*p^159*q^2194+2686556*p^157*q^2196+ 90604984*p^155*q^2198+917094220*p^153*q^2200+7476051222*p^151*q^2202+ 52814864976*p^149*q^2204+354118914820*p^147*q^2206+2029525152214*p^145*q^2208+ 7329480585500*p^143*q^2210+11790272838458*p^141*q^2212+7932000230899*p^139*q^ 2214+2608353215518*p^137*q^2216+521219407300*p^135*q^2218+67088480116*p^133*q^ 2220+3949902086*p^131*q^2222+99492016*p^129*q^2224+1387114*p^127*q^2226+3552*p^ 125*q^2228+40*p^162*q^2190+412*p^160*q^2192+427196*p^158*q^2194+15766166*p^156* q^2196+308493696*p^154*q^2198+2399225652*p^152*q^2200+19441644648*p^150*q^2202+ 132904099950*p^148*q^2204+844357122364*p^146*q^2206+4086107323034*p^144*q^2208+ 10394508527646*p^142*q^2210+10955920146497*p^140*q^2212+5126403661440*p^138*q^ 2214+1302751285938*p^136*q^2216+215676943298*p^134*q^2218+20431327069*p^132*q^ 2220+791227784*p^130*q^2222+13400184*p^128*q^2224+107986*p^126*q^2226+1176*p^ 124*q^2228+21344*p^159*q^2192+2034067*p^157*q^2194+74583308*p^155*q^2196+ 857320422*p^153*q^2198+6768108162*p^151*q^2200+48784360385*p^149*q^2202+ 326857187336*p^147*q^2204+1903117106860*p^145*q^2206+7103497632866*p^143*q^2208 +12070725498682*p^141*q^2210+8470656947150*p^139*q^2212+2898384683179*p^137*q^ 2214+593005814412*p^135*q^2216+79996773919*p^133*q^2218+5114162348*p^131*q^2220 +138831344*p^129*q^2222+1908454*p^127*q^2224+5628*p^125*q^2226+16*p^123*q^2228+ 4*p^162*q^2188+188*p^160*q^2190+305673*p^158*q^2192+12531990*p^156*q^2194+ 275681213*p^154*q^2196+2210539516*p^152*q^2198+17928481974*p^150*q^2200+ 122701860144*p^148*q^2202+782351829524*p^146*q^2204+3890395202396*p^144*q^2206+ 10309197841714*p^142*q^2208+11480074572234*p^140*q^2210+5572648273479*p^138*q^ 2212+1465866950588*p^136*q^2214+248776283098*p^134*q^2216+25279252154*p^132*q^ 2218+1056670108*p^130*q^2220+19275184*p^128*q^2222+201726*p^126*q^2224+776*p^ 124*q^2226+612*p^161*q^2188+7500*p^159*q^2190+1968428*p^157*q^2192+62142809*p^ 155*q^2194+783515088*p^153*q^2196+6135204592*p^151*q^2198+45037699870*p^149*q^ 2200+302828678580*p^147*q^2202+1777424592188*p^145*q^2204+6897433157903*p^143*q ^2206+12259943861530*p^141*q^2208+9060748549279*p^139*q^2210+3198728857432*p^ 137*q^2212+675542957170*p^135*q^2214+94545880258*p^133*q^2216+6579639345*p^131* q^2218+190769428*p^129*q^2220+2531964*p^127*q^2222+13762*p^125*q^2224+136*p^123 *q^2226+203816*p^158*q^2190+9552155*p^156*q^2192+237285688*p^154*q^2194+ 2061537830*p^152*q^2196+16551838910*p^150*q^2198+113081699381*p^148*q^2200+ 726525296410*p^146*q^2202+3680856405990*p^144*q^2204+10236851235832*p^142*q^ 2206+11935000798129*p^140*q^2208+6070397997188*p^138*q^2210+1641032058704*p^136 *q^2212+287175201664*p^134*q^2214+31062900002*p^132*q^2216+1428104646*p^130*q^ 2218+29470920*p^128*q^2220+354766*p^126*q^2222+244*p^124*q^2224+200*p^161*q^ 2186+5376*p^159*q^2188+1596573*p^157*q^2190+50609776*p^155*q^2192+722482294*p^ 153*q^2194+5538813002*p^151*q^2196+41635771152*p^149*q^2198+279299355386*p^147* q^2200+1662801568287*p^145*q^2202+6647297943886*p^143*q^2204+12479625769754*p^ 141*q^2206+9625584407324*p^139*q^2208+3540827079137*p^137*q^2210+765496643716*p ^135*q^2212+111508096580*p^133*q^2214+8401597538*p^131*q^2216+254537020*p^129*q ^2218+3327104*p^127*q^2220+16802*p^125*q^2222+120*p^123*q^2224+3880*p^160*q^ 2186+91796*p^158*q^2188+8138386*p^156*q^2190+205783988*p^154*q^2192+1901962994* p^152*q^2194+15171779103*p^150*q^2196+104393492566*p^148*q^2198+672639077676*p^ 146*q^2200+3490115534746*p^144*q^2202+10096249893453*p^142*q^2204+ 12436952253840*p^140*q^2206+6568800029017*p^138*q^2208+1838787384220*p^136*q^ 2210+329048343923*p^134*q^2212+37732322866*p^132*q^2214+1867501408*p^130*q^2216 +41542430*p^128*q^2218+426882*p^126*q^2220+1328*p^124*q^2222+8*p^122*q^2224+24* p^161*q^2184+788*p^159*q^2186+1242964*p^157*q^2188+40575836*p^155*q^2190+ 651076820*p^153*q^2192+5082127292*p^151*q^2194+38483785054*p^149*q^2196+ 258700013406*p^147*q^2198+1549861966710*p^145*q^2200+6422130576040*p^143*q^2202 +12598349105512*p^141*q^2204+10244471180831*p^139*q^2206+3890329451864*p^137*q^ 2208+868380258854*p^135*q^2210+130271188758*p^133*q^2212+10665898338*p^131*q^ 2214+356756142*p^129*q^2216+5399729*p^127*q^2218+59380*p^125*q^2220+8*p^123*q^ 2222+3304*p^160*q^2184+67948*p^158*q^2186+7123984*p^156*q^2188+175098770*p^154* q^2190+1765907017*p^152*q^2192+13850019070*p^150*q^2194+96251320741*p^148*q^ 2196+624146078070*p^146*q^2198+3289900514772*p^144*q^2200+9966558100796*p^142*q ^2202+12855238637632*p^140*q^2204+7124296816512*p^138*q^2206+2050443073477*p^ 136*q^2208+377902250712*p^134*q^2210+45627532873*p^132*q^2212+2475664350*p^130* q^2214+57190018*p^128*q^2216+576748*p^126*q^2218+484*p^124*q^2220+8*p^122*q^ 2222+24*p^161*q^2182+13872*p^159*q^2184+770840*p^157*q^2186+32595832*p^155*q^ 2188+585624361*p^153*q^2190+4640172212*p^151*q^2192+35650279852*p^149*q^2194+ 238460931510*p^147*q^2196+1446386851978*p^145*q^2198+6160571137546*p^143*q^2200 +12746053222313*p^141*q^2202+10827476223802*p^139*q^2204+4288298852994*p^137*q^ 2206+979756234762*p^135*q^2208+152017262001*p^133*q^2210+13365334762*p^131*q^ 2212+476749612*p^129*q^2214+7938238*p^127*q^2216+61662*p^125*q^2218+60*p^123*q^ 2220+788*p^160*q^2182+22492*p^158*q^2184+5761338*p^156*q^2186+146995327*p^154*q ^2188+1619255080*p^152*q^2190+12618592286*p^150*q^2192+88825692592*p^148*q^2194 +577469010473*p^146*q^2196+3108800649356*p^144*q^2198+9774005624456*p^142*q^ 2200+13320511827018*p^140*q^2202+7671866180017*p^138*q^2204+2289000592554*p^136 *q^2206+431043753560*p^134*q^2208+54587817578*p^132*q^2210+3215859466*p^130*q^ 2212+79251302*p^128*q^2214+833603*p^126*q^2216+6854*p^124*q^2218+12*p^161*q^ 2180+24440*p^159*q^2182+539222*p^157*q^2184+28565014*p^155*q^2186+521832364*p^ 153*q^2188+4299415002*p^151*q^2190+32916467290*p^149*q^2192+220866368867*p^147* q^2194+1345947538436*p^145*q^2196+5921455641404*p^143*q^2198+12794550758310*p^ 141*q^2200+11461088019066*p^139*q^2202+4692764202702*p^137*q^2204+1107073861068 *p^135*q^2206+175867521210*p^133*q^2208+16702058426*p^131*q^2210+650082148*p^ 129*q^2212+12003844*p^127*q^2214+98610*p^125*q^2216+548*p^160*q^2180+39984*p^ 158*q^2182+4486468*p^156*q^2184+120663118*p^154*q^2186+1484407540*p^152*q^2188+ 11499889924*p^150*q^2190+81948716554*p^148*q^2192+535365829428*p^146*q^2194+ 2920687144829*p^144*q^2196+9594773665100*p^142*q^2198+13690566734187*p^140*q^ 2200+8282973660046*p^138*q^2202+2541950873272*p^136*q^2204+492870171290*p^134*q ^2206+65077798187*p^132*q^2208+4180979892*p^130*q^2210+110663522*p^128*q^2212+ 1294134*p^126*q^2214+8650*p^124*q^2216+11556*p^159*q^2180+292224*p^157*q^2182+ 23216836*p^155*q^2184+455701056*p^153*q^2186+3942206376*p^151*q^2188+ 30320583458*p^149*q^2190+203548996702*p^147*q^2192+1254101435043*p^145*q^2194+ 5654087376428*p^143*q^2196+12866892455379*p^141*q^2198+12051549191120*p^139*q^ 2200+5150393701578*p^137*q^2202+1244116419762*p^135*q^2204+203576833839*p^133*q ^2206+20543128544*p^131*q^2208+865783122*p^129*q^2210+16169292*p^127*q^2212+ 120361*p^125*q^2214+368*p^123*q^2216+272*p^160*q^2178+99856*p^158*q^2180+ 3237934*p^156*q^2182+104045189*p^154*q^2184+1366306942*p^152*q^2186+10512340368 *p^150*q^2188+75907018492*p^148*q^2190+495038139222*p^146*q^2192+2751136346892* p^144*q^2194+9357451022862*p^142*q^2196+14102275763938*p^140*q^2198+ 8877912644668*p^138*q^2200+2826666726036*p^136*q^2202+559885531282*p^134*q^2204 +76885933480*p^132*q^2206+5372770102*p^130*q^2208+152752018*p^128*q^2210+ 2155216*p^126*q^2212+12748*p^124*q^2214+4*p^161*q^2176+6864*p^159*q^2178+191312 *p^157*q^2180+19793062*p^155*q^2182+391609956*p^153*q^2184+3616335705*p^151*q^ 2186+27830764774*p^149*q^2188+188136705872*p^147*q^2190+1164871785556*p^145*q^ 2192+5410961680202*p^143*q^2194+12838811718478*p^141*q^2196+12691161465778*p^ 139*q^2198+5614008537090*p^137*q^2200+1400715338702*p^135*q^2202+234031488166*p ^133*q^2204+25199009158*p^131*q^2206+1155805528*p^129*q^2208+23108304*p^127*q^ 2210+179568*p^125*q^2212+1234*p^123*q^2214+44*p^160*q^2176+87596*p^158*q^2178+ 2253458*p^156*q^2180+86238418*p^154*q^2182+1237643067*p^152*q^2184+9671127524*p ^150*q^2186+70104852720*p^148*q^2188+459100633596*p^146*q^2190+2577458617484*p^ 144*q^2192+9136897161598*p^142*q^2194+14411623929360*p^140*q^2196+9538137122428 *p^138*q^2198+3125981383839*p^136*q^2200+637281659630*p^134*q^2202+90308676800* p^132*q^2204+6868733950*p^130*q^2206+211572610*p^128*q^2208+3201322*p^126*q^ 2210+19479*p^124*q^2212+8*p^161*q^2174+3856*p^159*q^2176+303358*p^157*q^2178+ 15628728*p^155*q^2180+339652955*p^153*q^2182+3331739760*p^151*q^2184+ 25496791624*p^149*q^2186+173466791126*p^147*q^2188+1083661323238*p^145*q^2190+ 5143303257746*p^143*q^2192+12836332591534*p^141*q^2194+13269017809526*p^139*q^ 2196+6135520894488*p^137*q^2198+1568910375444*p^135*q^2200+269545252619*p^133*q ^2202+30615765352*p^131*q^2204+1529660096*p^129*q^2206+32461488*p^127*q^2208+ 294442*p^125*q^2210+868*p^123*q^2212+76*p^160*q^2174+57672*p^158*q^2176+1368618 *p^156*q^2178+73752846*p^154*q^2180+1105236940*p^152*q^2182+8824029536*p^150*q^ 2184+64888557298*p^148*q^2186+424012005483*p^146*q^2188+2420893210682*p^144*q^ 2190+8862900075410*p^142*q^2192+14762797112476*p^140*q^2194+10176923896335*p^ 138*q^2196+3464154673806*p^136*q^2198+720837258901*p^134*q^2200+105502055468*p^ 132*q^2202+8629785408*p^130*q^2204+283972762*p^128*q^2206+4297860*p^126*q^2208+ 20858*p^124*q^2210+126*p^122*q^2212+1288*p^159*q^2174+386172*p^157*q^2176+ 12118925*p^155*q^2178+291681880*p^153*q^2180+3076281860*p^151*q^2182+ 23405735342*p^149*q^2184+160488818161*p^147*q^2186+1005924048480*p^145*q^2188+ 4901842233397*p^143*q^2190+12735169456158*p^141*q^2192+13899378988532*p^139*q^ 2194+6656902880128*p^137*q^2196+1758544454988*p^135*q^2198+308318780056*p^133*q ^2200+36898508566*p^131*q^2202+2019542738*p^129*q^2204+46992510*p^127*q^2206+ 585704*p^125*q^2208+3092*p^123*q^2210+180*p^160*q^2172+38548*p^158*q^2174+ 1203386*p^156*q^2176+62658534*p^154*q^2178+983565918*p^152*q^2180+8110344822*p^ 150*q^2182+59797204011*p^148*q^2184+392962331456*p^146*q^2186+2261963205399*p^ 144*q^2188+8608027879430*p^142*q^2190+14994659572098*p^140*q^2192+ 10882411927916*p^138*q^2194+3816566454184*p^136*q^2196+818371002084*p^134*q^ 2198+122740429401*p^132*q^2200+10889425290*p^130*q^2202+393008657*p^128*q^2204+ 6366538*p^126*q^2206+30528*p^124*q^2208+16*p^122*q^2210+36*p^161*q^2170+940*p^ 159*q^2172+333690*p^157*q^2174+8466436*p^155*q^2176+247519070*p^153*q^2178+ 2810912682*p^151*q^2180+21430433333*p^149*q^2182+148075244260*p^147*q^2184+ 934294321507*p^145*q^2186+4641990165414*p^143*q^2188+12657977964103*p^141*q^ 2190+14456536099152*p^139*q^2192+7246462848184*p^137*q^2194+1962158551862*p^135 *q^2196+353060711314*p^133*q^2198+44069224718*p^131*q^2200+2615144808*p^129*q^ 2202+62134222*p^127*q^2204+723770*p^125*q^2206+1820*p^123*q^2208+6*p^121*q^2210 +20*p^160*q^2170+17516*p^158*q^2172+1279204*p^156*q^2174+51067216*p^154*q^2176+ 874117378*p^152*q^2178+7428687795*p^150*q^2180+55228985794*p^148*q^2182+ 362715895445*p^146*q^2184+2120007002534*p^144*q^2186+8308205068994*p^142*q^2188 +15270892211826*p^140*q^2190+11550922387983*p^138*q^2192+4212571805250*p^136*q^ 2194+922189398649*p^134*q^2196+142296538100*p^132*q^2198+13463765786*p^130*q^ 2200+526525818*p^128*q^2202+9498882*p^126*q^2204+83008*p^124*q^2206+332*p^122*q ^2208+1828*p^159*q^2170+264088*p^157*q^2172+6470080*p^155*q^2174+217393056*p^ 153*q^2176+2559721831*p^151*q^2178+19681015156*p^149*q^2180+137105032504*p^147* q^2182+866632139498*p^145*q^2184+4405178381512*p^143*q^2186+12488479144988*p^ 141*q^2188+15058378935632*p^139*q^2190+7829451559534*p^137*q^2192+2192750054720 *p^135*q^2194+402231156490*p^133*q^2196+52407872409*p^131*q^2198+3406753928*p^ 129*q^2200+90921965*p^127*q^2202+1129314*p^125*q^2204+3064*p^123*q^2206+556*p^ 160*q^2168+11252*p^158*q^2170+1373726*p^156*q^2172+40450314*p^154*q^2174+ 757540932*p^152*q^2176+6849439202*p^150*q^2178+50725185968*p^148*q^2180+ 335880298116*p^146*q^2182+1976013260642*p^144*q^2184+8029171348432*p^142*q^2186 +15424116934691*p^140*q^2188+12292228049106*p^138*q^2190+4623197992207*p^136*q^ 2192+1042479653270*p^134*q^2194+164267122678*p^132*q^2196+16627247554*p^130*q^ 2198+703865510*p^128*q^2200+12473532*p^126*q^2202+114758*p^124*q^2204+100*p^122 *q^2206+644*p^159*q^2168+156636*p^157*q^2170+5029684*p^155*q^2172+183145475*p^ 153*q^2174+2330119864*p^151*q^2176+18011336318*p^149*q^2178+126598925102*p^147* q^2180+804535607086*p^145*q^2182+4157492640176*p^143*q^2184+12341170111634*p^ 141*q^2186+15576087012514*p^139*q^2188+8484506221911*p^137*q^2190+2436952490334 *p^135*q^2192+459104925176*p^133*q^2194+61711445254*p^131*q^2196+4364624888*p^ 129*q^2198+124921198*p^127*q^2200+1799848*p^125*q^2202+7544*p^123*q^2204+16*p^ 121*q^2206+64*p^160*q^2166+12360*p^158*q^2168+1268140*p^156*q^2170+31681916*p^ 154*q^2172+671331124*p^152*q^2174+6262056978*p^150*q^2176+46771817790*p^148*q^ 2178+310047941642*p^146*q^2180+1847668900778*p^144*q^2182+7710663043172*p^142*q ^2184+15614006060904*p^140*q^2186+12985418467472*p^138*q^2188+5083799804312*p^ 136*q^2190+1171181082777*p^134*q^2192+189292505438*p^132*q^2194+20279473012*p^ 130*q^2196+936960486*p^128*q^2198+18023716*p^126*q^2200+160124*p^124*q^2202+320 *p^122*q^2204+4*p^161*q^2164+3640*p^159*q^2166+103224*p^157*q^2168+4851794*p^ 155*q^2170+155182126*p^153*q^2172+2089305764*p^151*q^2174+16539251032*p^149*q^ 2176+117157661448*p^147*q^2178+745146687262*p^145*q^2180+3932835809566*p^143*q^ 2182+12108368967844*p^141*q^2184+16136932487468*p^139*q^2186+9128293890014*p^ 137*q^2188+2713629832943*p^135*q^2190+520937728348*p^133*q^2192+72426554453*p^ 131*q^2194+5543615862*p^129*q^2196+170703868*p^127*q^2198+2453538*p^125*q^2200+ 16104*p^123*q^2202+4*p^121*q^2204+8300*p^158*q^2166+970510*p^156*q^2168+ 24224612*p^154*q^2170+583617859*p^152*q^2172+5770884910*p^150*q^2174+ 42935193423*p^148*q^2176+287097793876*p^146*q^2178+1719882287591*p^144*q^2180+ 7416674790022*p^142*q^2182+15678744286214*p^140*q^2184+13746316184130*p^138*q^ 2186+5557207679446*p^136*q^2188+1319132663586*p^134*q^2190+217160156443*p^132*q ^2192+24648779304*p^130*q^2194+1251930808*p^128*q^2196+27126374*p^126*q^2198+ 329524*p^124*q^2200+372*p^122*q^2202+1804*p^159*q^2164+80108*p^157*q^2166+ 4753332*p^155*q^2168+127668831*p^153*q^2170+1875464006*p^151*q^2172+15154968012 *p^149*q^2174+108004416220*p^147*q^2176+691338707462*p^145*q^2178+3697802415020 *p^143*q^2180+11900350551488*p^141*q^2182+16595834379846*p^139*q^2184+ 9849357215318*p^137*q^2186+3006252331698*p^135*q^2188+592534358437*p^133*q^2190 +84546219908*p^131*q^2192+6986880472*p^129*q^2194+229969798*p^127*q^2196+ 3062148*p^125*q^2198+15424*p^123*q^2200+20*p^121*q^2202+112*p^160*q^2162+14824* p^158*q^2164+688340*p^156*q^2166+19254892*p^154*q^2168+508056996*p^152*q^2170+ 5262155828*p^150*q^2172+39509183940*p^148*q^2174+265130241892*p^146*q^2176+ 1604892989782*p^144*q^2178+7090703961268*p^142*q^2180+15783383134698*p^140*q^ 2182+14448584964067*p^138*q^2184+6087882406712*p^136*q^2186+1476335486146*p^134 *q^2188+249130100528*p^132*q^2190+29466652722*p^130*q^2192+1631844582*p^128*q^ 2194+37389095*p^126*q^2196+470914*p^124*q^2198+1608*p^122*q^2200+148*p^159*q^ 2162+62928*p^157*q^2164+4288832*p^155*q^2166+104597840*p^153*q^2168+1674029994* p^151*q^2170+13911873004*p^149*q^2172+99899518807*p^147*q^2174+639848289132*p^ 145*q^2176+3487629393849*p^143*q^2178+11612259373590*p^141*q^2180+ 17098539802251*p^139*q^2182+10547854312194*p^137*q^2184+3334994127939*p^135*q^ 2186+670283668456*p^133*q^2188+98251521020*p^131*q^2190+8757154098*p^129*q^2192 +317639062*p^127*q^2194+5107644*p^125*q^2196+51462*p^123*q^2198+8*p^121*q^2200+ 8*p^160*q^2160+17080*p^158*q^2162+528338*p^156*q^2164+17228352*p^154*q^2166+ 437689205*p^152*q^2168+4813291670*p^150*q^2170+36265953713*p^148*q^2172+ 245523529008*p^146*q^2174+1491707520365*p^144*q^2176+6788940731840*p^142*q^2178 +15755025745715*p^140*q^2180+15220404212296*p^138*q^2182+6628198763080*p^136*q^ 2184+1657733427236*p^134*q^2186+284565933671*p^132*q^2188+35307697708*p^130*q^ 2190+2134823194*p^128*q^2192+52367336*p^126*q^2194+554734*p^124*q^2196+828*p^ 122*q^2198+1236*p^159*q^2160+58648*p^157*q^2162+3478280*p^155*q^2164+82188006*p ^153*q^2166+1482617494*p^151*q^2168+12757680848*p^149*q^2170+91929640530*p^147* q^2172+593084669348*p^145*q^2174+3269743307530*p^143*q^2176+11350412240179*p^ 141*q^2178+17487236475658*p^139*q^2180+11331198120592*p^137*q^2182+ 3681396869228*p^135*q^2184+759695069211*p^133*q^2186+113669460324*p^131*q^2188+ 10826340425*p^129*q^2190+423913774*p^127*q^2192+7116555*p^125*q^2194+83510*p^ 123*q^2196+76*p^121*q^2198+4128*p^158*q^2160+376040*p^156*q^2162+15445748*p^154 *q^2164+372831818*p^152*q^2166+4374767491*p^150*q^2168+33328622682*p^148*q^2170 +226775150634*p^146*q^2172+1390140416906*p^144*q^2174+6464672657945*p^142*q^ 2176+15768537924716*p^140*q^2178+15912739080216*p^138*q^2180+7233883368634*p^ 136*q^2182+1848819731707*p^134*q^2184+325134025288*p^132*q^2186+41664922310*p^ 130*q^2188+2744532418*p^128*q^2190+72100984*p^126*q^2192+792536*p^124*q^2194+ 5356*p^122*q^2196+348*p^159*q^2158+88008*p^157*q^2160+2884012*p^155*q^2162+ 68177642*p^153*q^2164+1319162079*p^151*q^2166+11702658680*p^149*q^2168+ 84946004847*p^147*q^2170+548721119086*p^145*q^2172+3074743560468*p^143*q^2174+ 11017325992654*p^141*q^2176+17912899198724*p^139*q^2178+12079923376444*p^137*q^ 2180+4070620999138*p^135*q^2182+856445279926*p^133*q^2184+131330470114*p^131*q^ 2186+13317282806*p^129*q^2188+577022303*p^127*q^2190+11093214*p^125*q^2192+ 119075*p^123*q^2194+16*p^121*q^2196+2*p^160*q^2156+8304*p^158*q^2158+297496*p^ 156*q^2160+13935288*p^154*q^2162+312280654*p^152*q^2164+3951943198*p^150*q^2166 +30566175820*p^148*q^2168+209937943054*p^146*q^2170+1290339108718*p^144*q^2172+ 6162632933602*p^142*q^2174+15655485519016*p^140*q^2176+16674767971378*p^138*q^ 2178+7844656656214*p^136*q^2180+2068983337870*p^134*q^2182+370154589924*p^132*q ^2184+49194814974*p^130*q^2186+3519419097*p^128*q^2188+99211602*p^126*q^2190+ 1128588*p^124*q^2192+13000*p^122*q^2194+20*p^159*q^2156+45380*p^157*q^2158+ 2093724*p^155*q^2160+56111996*p^153*q^2162+1151395206*p^151*q^2164+10754532866* p^149*q^2166+78082851032*p^147*q^2168+508399362065*p^145*q^2170+2875588396772*p ^143*q^2172+10714500267286*p^141*q^2174+18215760977808*p^139*q^2176+ 12917087085786*p^137*q^2178+4476449437688*p^135*q^2180+967464663977*p^133*q^ 2182+150876700450*p^131*q^2184+16203360182*p^129*q^2186+763911022*p^127*q^2188+ 15014564*p^125*q^2190+128840*p^123*q^2192+292*p^121*q^2194+8*p^160*q^2154+5168* p^158*q^2156+349780*p^156*q^2158+12263262*p^154*q^2160+260900986*p^152*q^2162+ 3578324574*p^150*q^2164+28048386050*p^148*q^2166+193869535491*p^146*q^2168+ 1201061047938*p^144*q^2170+5845028166629*p^142*q^2172+15574622826942*p^140*q^ 2174+17346492378489*p^138*q^2176+8526449052476*p^136*q^2178+2300742103730*p^134 *q^2180+421728536790*p^132*q^2182+57460956429*p^130*q^2184+4459550656*p^128*q^ 2186+136233642*p^126*q^2188+1982220*p^124*q^2190+21000*p^122*q^2192+42*p^159*q^ 2154+44680*p^157*q^2156+1580440*p^155*q^2158+49631354*p^153*q^2160+1007244817*p ^151*q^2162+9819500814*p^149*q^2164+72104812828*p^147*q^2166+470087795784*p^145 *q^2168+2697635227302*p^143*q^2170+10347449665930*p^141*q^2172+18557112840334*p ^139*q^2174+13706295512646*p^137*q^2176+4933204147302*p^135*q^2178+ 1086713489304*p^133*q^2180+173384128391*p^131*q^2182+19565120000*p^129*q^2184+ 1010535944*p^127*q^2186+21556806*p^125*q^2188+149438*p^123*q^2190+1500*p^121*q^ 2192+14*p^160*q^2152+1008*p^158*q^2154+279812*p^156*q^2156+10116852*p^154*q^ 2158+213941896*p^152*q^2160+3203859766*p^150*q^2162+25753850325*p^148*q^2164+ 179222368142*p^146*q^2166+1113772939936*p^144*q^2168+5551744698628*p^142*q^2170 +15376691691753*p^140*q^2172+18076763153090*p^138*q^2174+9210776039615*p^136*q^ 2176+2565422006160*p^134*q^2178+478551154955*p^132*q^2180+67111781032*p^130*q^ 2182+5615018940*p^128*q^2184+189727842*p^126*q^2186+2911488*p^124*q^2188+32842* p^122*q^2190+8*p^120*q^2192+120*p^159*q^2152+41268*p^157*q^2154+1454052*p^155*q ^2156+44074139*p^153*q^2158+871783930*p^151*q^2160+9014705067*p^149*q^2162+ 66156390396*p^147*q^2164+435910742622*p^145*q^2166+2516867227760*p^143*q^2168+ 10012459789747*p^141*q^2170+18760176061350*p^139*q^2172+14587510507403*p^137*q^ 2174+5405717048224*p^135*q^2176+1224073607574*p^133*q^2178+198343974528*p^131*q ^2180+23470944193*p^129*q^2182+1323025438*p^127*q^2184+29171296*p^125*q^2186+ 260376*p^123*q^2188+2132*p^121*q^2190+20*p^160*q^2150+778*p^158*q^2152+222636*p ^156*q^2154+7700178*p^154*q^2156+177959506*p^152*q^2158+2860131666*p^150*q^2160 +23594094450*p^148*q^2162+165392824823*p^146*q^2164+1034753424244*p^144*q^2166+ 5245509861807*p^142*q^2168+15216113311346*p^140*q^2170+18704535087254*p^138*q^ 2172+9971698801772*p^136*q^2174+2844090132665*p^134*q^2176+543359155228*p^132*q ^2178+77712696950*p^130*q^2180+6971960770*p^128*q^2182+254593458*p^126*q^2184+ 4159144*p^124*q^2186+20656*p^122*q^2188+88*p^120*q^2190+214*p^159*q^2150+15888* p^157*q^2152+1292078*p^155*q^2154+39525838*p^153*q^2156+746597131*p^151*q^2158+ 8202388340*p^149*q^2160+61058107002*p^147*q^2162+402973112230*p^145*q^2164+ 2357504499974*p^143*q^2166+9624431329786*p^141*q^2168+19004252803577*p^139*q^ 2170+15404801021508*p^137*q^2172+5935185801396*p^135*q^2174+1370233886466*p^133 *q^2176+227085520137*p^131*q^2178+27842182428*p^129*q^2180+1721334138*p^127*q^ 2182+41862426*p^125*q^2184+507314*p^123*q^2186+8308*p^121*q^2188+36*p^160*q^ 2148+836*p^158*q^2150+227810*p^156*q^2152+6463552*p^154*q^2154+153134504*p^152* q^2156+2550294592*p^150*q^2158+21707434497*p^148*q^2160+152844814664*p^146*q^ 2162+958987922520*p^144*q^2164+4963888982634*p^142*q^2166+14935608648491*p^140* q^2168+19390048406716*p^138*q^2170+10724261031284*p^136*q^2172+3161767622102*p^ 134*q^2174+614846232589*p^132*q^2176+90063946544*p^130*q^2178+8672326729*p^128* q^2180+350325174*p^126*q^2182+6204008*p^124*q^2184+22520*p^122*q^2186+80*p^120* q^2188+356*p^159*q^2148+11044*p^157*q^2150+1029296*p^155*q^2152+32668764*p^153* q^2154+626243934*p^151*q^2156+7437674228*p^149*q^2158+55844068338*p^147*q^2160+ 373144870588*p^145*q^2162+2195063507556*p^143*q^2164+9268364172872*p^141*q^2166 +19104748150288*p^139*q^2168+16319603816842*p^137*q^2170+6481943508336*p^135*q^ 2172+1538707370171*p^133*q^2174+258841779616*p^131*q^2176+32970153741*p^129*q^ 2178+2190765726*p^127*q^2180+56125746*p^125*q^2182+638860*p^123*q^2184+5361*p^ 121*q^2186+8*p^160*q^2146+1550*p^158*q^2148+131120*p^156*q^2150+5540854*p^154*q ^2152+134343050*p^152*q^2154+2256993050*p^150*q^2156+19957568018*p^148*q^2158+ 141054869936*p^146*q^2160+891043384140*p^144*q^2162+4676454785737*p^142*q^2164+ 14699362270504*p^140*q^2166+19951928160876*p^138*q^2168+11562926142458*p^136*q^ 2170+3492180890486*p^134*q^2172+695512032214*p^132*q^2174+103499979170*p^130*q^ 2176+10546907938*p^128*q^2178+468836363*p^126*q^2180+8522686*p^124*q^2182+70406 *p^122*q^2184+1274*p^120*q^2186+574*p^159*q^2146+5320*p^157*q^2148+1023316*p^ 155*q^2150+27270208*p^153*q^2152+532599455*p^151*q^2154+6747786074*p^149*q^2156 +51429593106*p^147*q^2158+344806566430*p^145*q^2160+2050918949013*p^143*q^2162+ 8869197242750*p^141*q^2164+19239768096330*p^139*q^2166+17147492636432*p^137*q^ 2168+7093388746418*p^135*q^2170+1717884053020*p^133*q^2172+295824525255*p^131*q ^2174+38721576616*p^129*q^2176+2833611976*p^127*q^2178+80958594*p^125*q^2180+ 1229332*p^123*q^2182+1184*p^121*q^2184+3010*p^158*q^2146+101816*p^156*q^2148+ 4515216*p^154*q^2150+118725200*p^152*q^2152+1970932286*p^150*q^2154+18242863489 *p^148*q^2156+130193791644*p^146*q^2158+825005110123*p^144*q^2160+4411904508632 *p^142*q^2162+14354439298634*p^140*q^2164+20570915211220*p^138*q^2166+ 12384912745663*p^136*q^2168+3869994483742*p^134*q^2170+784221870237*p^132*q^ 2172+119130514818*p^130*q^2174+12812094482*p^128*q^2176+614037340*p^126*q^2178+ 11310194*p^124*q^2180+75852*p^122*q^2182+1788*p^120*q^2184+244*p^159*q^2144+ 7604*p^157*q^2146+736004*p^155*q^2148+22900760*p^153*q^2150+449407190*p^151*q^ 2152+6097098372*p^149*q^2154+47244946116*p^147*q^2156+319319785177*p^145*q^2158 +1907193306030*p^143*q^2160+8502086315639*p^141*q^2162+19234548982162*p^139*q^ 2164+18073579111272*p^137*q^2166+7715110475434*p^135*q^2168+1922968831218*p^133 *q^2170+336054033410*p^131*q^2172+45318838973*p^129*q^2174+3570036116*p^127*q^ 2176+113916976*p^125*q^2178+1746880*p^123*q^2180+6228*p^121*q^2182+84*p^119*q^ 2184+4398*p^158*q^2144+50036*p^156*q^2146+4142638*p^154*q^2148+102087776*p^152* q^2150+1717088792*p^150*q^2152+16714301344*p^148*q^2154+119660934455*p^146*q^ 2156+765822220760*p^144*q^2158+4143383156809*p^142*q^2160+14049572162448*p^140* q^2162+21053393849522*p^138*q^2164+13296432367868*p^136*q^2166+4262689516512*p^ 134*q^2168+885233188798*p^132*q^2170+136441351382*p^130*q^2172+15413470442*p^ 128*q^2174+808246933*p^126*q^2176+15674734*p^124*q^2178+180650*p^122*q^2180+36* p^120*q^2182+22*p^159*q^2142+15676*p^157*q^2144+620476*p^155*q^2146+19049082*p^ 153*q^2148+393613882*p^151*q^2150+5469967492*p^149*q^2152+43490547393*p^147*q^ 2154+295266854282*p^145*q^2156+1779613994964*p^143*q^2158+8102135856200*p^141*q ^2160+19261695262709*p^139*q^2162+18901251478642*p^137*q^2164+8411817194796*p^ 135*q^2166+2139675787786*p^133*q^2168+382398218531*p^131*q^2170+52577106548*p^ 129*q^2172+4465698119*p^127*q^2174+155005802*p^125*q^2176+2338500*p^123*q^2178+ 8080*p^121*q^2180+414*p^119*q^2182+3468*p^158*q^2142+35394*p^156*q^2144+3364448 *p^154*q^2146+87462254*p^152*q^2148+1470060178*p^150*q^2150+15270635746*p^148*q ^2152+110404234734*p^146*q^2154+708482881672*p^144*q^2156+3898676604100*p^142*q ^2158+13648359047776*p^140*q^2160+21583909938006*p^138*q^2162+14178250863328*p^ 136*q^2164+4708162847674*p^134*q^2166+994885998199*p^132*q^2168+156673219628*p^ 130*q^2170+18456052391*p^128*q^2172+1069790734*p^126*q^2174+24185594*p^124*q^ 2176+338088*p^122*q^2178+244*p^120*q^2180+8*p^159*q^2140+22556*p^157*q^2142+ 419352*p^155*q^2144+16413410*p^153*q^2146+343565556*p^151*q^2148+4899919141*p^ 149*q^2150+39874182732*p^147*q^2152+273039346593*p^145*q^2154+1652839778040*p^ 143*q^2156+7734465262052*p^141*q^2158+19145915332668*p^139*q^2160+ 19819802224220*p^137*q^2162+9118605797310*p^135*q^2164+2388198840854*p^133*q^ 2166+433484140740*p^131*q^2168+60940457330*p^129*q^2170+5535744626*p^127*q^2172 +206009219*p^125*q^2174+2679066*p^123*q^2176+15424*p^121*q^2178+4*p^160*q^2138+ 856*p^158*q^2140+60680*p^156*q^2142+2828788*p^154*q^2144+73828604*p^152*q^2146+ 1264219114*p^150*q^2148+13924426528*p^148*q^2150+101463671154*p^146*q^2152+ 657663478752*p^144*q^2154+3650634122706*p^142*q^2156+13292784269318*p^140*q^ 2158+21966984122753*p^138*q^2160+15156860669164*p^136*q^2162+5168304734624*p^ 134*q^2164+1119629230168*p^132*q^2166+178605806431*p^130*q^2168+21884123138*p^ 128*q^2170+1372412998*p^126*q^2172+34225604*p^124*q^2174+503614*p^122*q^2176+ 716*p^120*q^2178+54*p^118*q^2180+25956*p^157*q^2140+222140*p^155*q^2142+ 13853102*p^153*q^2144+301080982*p^151*q^2146+4348408356*p^149*q^2148+ 36688305098*p^147*q^2150+252126398408*p^145*q^2152+1539838949910*p^143*q^2154+ 7343642087868*p^141*q^2156+19067485348010*p^139*q^2158+20620931277268*p^137*q^ 2160+9903141761586*p^135*q^2162+2650042827304*p^133*q^2164+491815986170*p^131*q ^2166+70243669530*p^129*q^2168+6810555634*p^127*q^2170+281915744*p^125*q^2172+ 4285874*p^123*q^2174+50576*p^121*q^2176+296*p^158*q^2138+89100*p^156*q^2140+ 2436532*p^154*q^2142+63782186*p^152*q^2144+1098264962*p^150*q^2146+12654372176* p^148*q^2148+93596360438*p^146*q^2150+608313146519*p^144*q^2152+3427598636750*p ^142*q^2154+12844737654397*p^140*q^2156+22399144923974*p^138*q^2158+ 16087112038780*p^136*q^2160+5690622847136*p^134*q^2162+1254779109782*p^132*q^ 2164+204437075892*p^130*q^2166+25826084404*p^128*q^2168+1775473840*p^126*q^2170 +48356310*p^124*q^2172+555196*p^122*q^2174+544*p^120*q^2176+104*p^159*q^2136+ 12804*p^157*q^2138+239176*p^155*q^2140+11373332*p^153*q^2142+259115970*p^151*q^ 2144+3811327254*p^149*q^2146+33612534368*p^147*q^2148+232813155908*p^145*q^2150 +1428477217584*p^143*q^2152+6981061750626*p^141*q^2154+18848779404342*p^139*q^ 2156+21514431871911*p^137*q^2158+10694487536862*p^135*q^2160+2949516288895*p^ 133*q^2162+555672736606*p^131*q^2164+80987370471*p^129*q^2166+8297600194*p^127* q^2168+370535850*p^125*q^2170+6281496*p^123*q^2172+88010*p^121*q^2174+32*p^119* q^2176+3*p^117*q^2178+76*p^158*q^2136+119192*p^156*q^2138+1472938*p^154*q^2140+ 53706410*p^152*q^2142+958407782*p^150*q^2144+11494179910*p^148*q^2146+ 85947800042*p^146*q^2148+564398254530*p^144*q^2150+3202951982419*p^142*q^2152+ 12450867204144*p^140*q^2154+22667824954643*p^138*q^2156+17123340325826*p^136*q^ 2158+6225180262327*p^134*q^2160+1407604009626*p^132*q^2162+232506923725*p^130*q ^2164+30195373256*p^128*q^2166+2237567633*p^126*q^2168+66584434*p^124*q^2170+ 632644*p^122*q^2172+4844*p^120*q^2174+8*p^159*q^2134+5196*p^157*q^2136+301338*p ^155*q^2138+10551368*p^153*q^2140+227246064*p^151*q^2142+3344883102*p^149*q^ 2144+30871113594*p^147*q^2146+214823442966*p^145*q^2148+1329809512187*p^143*q^ 2150+6604720414208*p^141*q^2152+18664276034873*p^139*q^2154+22265354927644*p^ 137*q^2156+11571798479695*p^135*q^2158+3263199708066*p^133*q^2160+629041158175* p^131*q^2162+92856226882*p^129*q^2164+10073087613*p^127*q^2166+501414492*p^125* q^2168+9909376*p^123*q^2170+150714*p^121*q^2172+4*p^119*q^2174+1000*p^158*q^ 2134+99172*p^156*q^2136+1188224*p^154*q^2138+44322938*p^152*q^2140+838209932*p^ 150*q^2142+10347516726*p^148*q^2144+79197881584*p^146*q^2146+521684565674*p^144 *q^2148+2999074817148*p^142*q^2150+11976483785181*p^140*q^2152+22983364118454*p ^138*q^2154+18091833742078*p^136*q^2156+6833310423468*p^134*q^2158+ 1573130152961*p^132*q^2160+265233658356*p^130*q^2162+35213832746*p^128*q^2164+ 2824810118*p^126*q^2166+89114992*p^124*q^2168+947604*p^122*q^2170+9412*p^120*q^ 2172+2170*p^157*q^2134+394546*p^155*q^2136+7792231*p^153*q^2138+195498124*p^151 *q^2140+2911739882*p^149*q^2142+28230418734*p^147*q^2144+198282110939*p^145*q^ 2146+1232486649654*p^143*q^2148+6258880216435*p^141*q^2150+18351618594592*p^139 *q^2152+23107644786222*p^137*q^2154+12444299316592*p^135*q^2156+3620920150688*p ^133*q^2158+708376982340*p^131*q^2160+106597416182*p^129*q^2162+12068975442*p^ 127*q^2164+652558658*p^125*q^2166+14456894*p^123*q^2168+110500*p^121*q^2170+216 *p^119*q^2172+328*p^158*q^2132+54648*p^156*q^2134+1092748*p^154*q^2136+39591062 *p^152*q^2138+735768713*p^150*q^2140+9310968790*p^148*q^2142+72755895792*p^146* q^2144+483554537190*p^144*q^2146+2798075870048*p^142*q^2148+11549130072822*p^ 140*q^2150+23132907617244*p^138*q^2152+19165355873602*p^136*q^2154+ 7451594828814*p^134*q^2156+1760843324302*p^132*q^2158+300957724724*p^130*q^2160 +40854622338*p^128*q^2162+3512009340*p^126*q^2164+123186142*p^124*q^2166+ 1549568*p^122*q^2168+32636*p^120*q^2170+5254*p^157*q^2132+458648*p^155*q^2134+ 6065836*p^153*q^2136+164646526*p^151*q^2138+2556082638*p^149*q^2140+25822430144 *p^147*q^2142+182622554508*p^145*q^2144+1146432529220*p^143*q^2146+ 5899824547662*p^141*q^2148+18077137198270*p^139*q^2150+23791972454038*p^137*q^ 2152+13413540115431*p^135*q^2154+3994054867602*p^133*q^2156+799401376674*p^131* q^2158+121775879054*p^129*q^2160+14385734603*p^127*q^2162+852398978*p^125*q^ 2164+19764608*p^123*q^2166+119668*p^121*q^2168+492*p^119*q^2170+20*p^158*q^2130 +29388*p^156*q^2132+1177096*p^154*q^2134+33025559*p^152*q^2136+649346562*p^150* q^2138+8270855727*p^148*q^2140+67024406090*p^146*q^2142+446807619820*p^144*q^ 2144+2615779574226*p^142*q^2146+11063295636801*p^140*q^2148+23319734181408*p^ 138*q^2150+20155733690366*p^136*q^2152+8150213396682*p^134*q^2154+1961780262461 *p^132*q^2156+342398113512*p^130*q^2158+47211824649*p^128*q^2160+4356781168*p^ 126*q^2162+168590774*p^124*q^2164+2762088*p^122*q^2166+32934*p^120*q^2168+4652* p^157*q^2130+357664*p^155*q^2132+4881392*p^153*q^2134+142355604*p^151*q^2136+ 2241558081*p^149*q^2138+23555639198*p^147*q^2140+168505129832*p^145*q^2142+ 1061744107200*p^143*q^2144+5573010542921*p^141*q^2146+17673516895498*p^139*q^ 2148+24558082453192*p^137*q^2150+14368891723942*p^135*q^2152+4419259758770*p^ 133*q^2154+898182667714*p^131*q^2156+139450816822*p^129*q^2158+17000304118*p^ 127*q^2160+1098542386*p^125*q^2162+26829634*p^123*q^2164+166956*p^121*q^2166+ 3968*p^119*q^2168+12*p^158*q^2128+23038*p^156*q^2130+1473734*p^154*q^2132+ 26667454*p^152*q^2134+560902134*p^150*q^2136+7334735668*p^148*q^2138+ 61443345788*p^146*q^2140+413595374688*p^144*q^2142+2435232747467*p^142*q^2144+ 10622675084120*p^140*q^2146+23342906522180*p^138*q^2148+21252309947402*p^136*q^ 2150+8858487902300*p^134*q^2152+2190307398218*p^132*q^2154+387320827208*p^130*q ^2156+54371292712*p^128*q^2158+5327173705*p^126*q^2160+223562674*p^124*q^2162+ 3972948*p^122*q^2164+14440*p^120*q^2166+8*p^118*q^2168+820*p^157*q^2128+238816* p^155*q^2130+4124304*p^153*q^2132+122830402*p^151*q^2134+1985469654*p^149*q^ 2136+21467559112*p^147*q^2138+155233311382*p^145*q^2140+987073596823*p^143*q^ 2142+5239699634578*p^141*q^2144+17320995264219*p^139*q^2146+25147405097224*p^ 137*q^2148+15422693054482*p^135*q^2150+4860317344552*p^133*q^2152+1010306659480 *p^131*q^2154+158826470992*p^129*q^2156+19990811535*p^127*q^2158+1396265196*p^ 125*q^2160+38781346*p^123*q^2162+407682*p^121*q^2164+9000*p^119*q^2166+33024*p^ 156*q^2128+1521348*p^154*q^2130+22212158*p^152*q^2132+487581568*p^150*q^2134+ 6486688771*p^148*q^2136+56515406262*p^146*q^2138+381684681341*p^144*q^2140+ 2273513824256*p^142*q^2142+10128563084458*p^140*q^2144+23400863548954*p^138*q^ 2146+22239284598899*p^136*q^2148+9656532317402*p^134*q^2150+2434038123520*p^132 *q^2152+439759939706*p^130*q^2154+62537127135*p^128*q^2156+6507549946*p^126*q^ 2158+307250199*p^124*q^2160+5547062*p^122*q^2162+12830*p^120*q^2164+200*p^118*q ^2166+28*p^159*q^2124+468*p^157*q^2126+142090*p^155*q^2128+4291134*p^153*q^2130 +102419102*p^151*q^2132+1746136372*p^149*q^2134+19373487020*p^147*q^2136+ 143054464659*p^145*q^2138+913547555440*p^143*q^2140+4933943708161*p^141*q^2142+ 16848647983786*p^139*q^2144+25823307779050*p^137*q^2146+16452700905254*p^135*q^ 2148+5362584674695*p^133*q^2150+1132152476172*p^131*q^2152+181290443764*p^129*q ^2154+23307711116*p^127*q^2156+1758322338*p^125*q^2158+50466568*p^123*q^2160+ 653988*p^121*q^2162+2932*p^119*q^2164+13256*p^156*q^2126+1278336*p^154*q^2128+ 17271734*p^152*q^2130+423375213*p^150*q^2132+5743990876*p^148*q^2134+ 51811692462*p^146*q^2136+353265513996*p^144*q^2138+2114035301825*p^142*q^2140+ 9686828509922*p^140*q^2142+23291596152749*p^138*q^2144+23336075498308*p^136*q^ 2146+10457077607672*p^134*q^2148+2709348580462*p^132*q^2150+495904719797*p^130* q^2152+71735219790*p^128*q^2154+7810424427*p^126*q^2156+400053432*p^124*q^2158+ 8102600*p^122*q^2160+38652*p^120*q^2162+1516*p^118*q^2164+4*p^159*q^2122+40*p^ 157*q^2124+157682*p^155*q^2126+4759764*p^153*q^2128+88723586*p^151*q^2130+ 1541746156*p^149*q^2132+17482716978*p^147*q^2134+131704874206*p^145*q^2136+ 848307902617*p^143*q^2138+4627470236916*p^141*q^2140+16425269447558*p^139*q^ 2142+26296697179208*p^137*q^2144+17590538085787*p^135*q^2146+5880171837436*p^ 133*q^2148+1271124757743*p^131*q^2150+206204007180*p^129*q^2152+27130721723*p^ 127*q^2154+2222791826*p^125*q^2156+74086146*p^123*q^2158+1071608*p^121*q^2160+ 716*p^119*q^2162+428*p^158*q^2122+7368*p^156*q^2124+908246*p^154*q^2126+ 15018876*p^152*q^2128+361192950*p^150*q^2130+5085481938*p^148*q^2132+ 47539732530*p^146*q^2134+325634184200*p^144*q^2136+1970686928408*p^142*q^2138+ 9200977011537*p^140*q^2140+23220630910288*p^138*q^2142+24300423701768*p^136*q^ 2144+11359580766024*p^134*q^2146+3002643223424*p^132*q^2148+561125621364*p^130* q^2150+82056363769*p^128*q^2152+9366442740*p^126*q^2154+518563532*p^124*q^2156+ 10274184*p^122*q^2158+81144*p^120*q^2160+752*p^118*q^2162+8*p^159*q^2120+28*p^ 157*q^2122+112150*p^155*q^2124+4781184*p^153*q^2126+71615058*p^151*q^2128+ 1353930428*p^149*q^2130+15643192460*p^147*q^2132+121306717771*p^145*q^2134+ 784621358398*p^143*q^2136+4346899248066*p^141*q^2138+15901607762586*p^139*q^ 2140+26852534898786*p^137*q^2142+18680233231870*p^135*q^2144+6469034014890*p^ 133*q^2146+1420325615292*p^131*q^2148+234781720081*p^129*q^2150+31375568244*p^ 127*q^2152+2754211787*p^125*q^2154+102092672*p^123*q^2156+1609868*p^121*q^2158+ 1910*p^119*q^2160+140*p^117*q^2162+108*p^158*q^2120+1996*p^156*q^2122+705448*p^ 154*q^2124+14252876*p^152*q^2126+314845762*p^150*q^2128+4519475230*p^148*q^2130 +43454396976*p^146*q^2132+301165524388*p^144*q^2134+1830532112066*p^142*q^2136+ 8763232593978*p^140*q^2138+22986911394126*p^138*q^2140+25370312759226*p^136*q^ 2142+12258441664073*p^134*q^2144+3334580291800*p^132*q^2146+631284802737*p^130* q^2148+93972009798*p^128*q^2150+11079390942*p^126*q^2152+671308186*p^124*q^2154 +14723181*p^122*q^2156+155406*p^120*q^2158+16*p^118*q^2160+16*p^159*q^2118+2712 *p^157*q^2120+68178*p^155*q^2122+4239982*p^153*q^2124+59602354*p^151*q^2126+ 1179770350*p^149*q^2128+14006160736*p^147*q^2130+111476505080*p^145*q^2132+ 727884724712*p^143*q^2134+4066694782658*p^141*q^2136+15425163951800*p^139*q^ 2138+27204023056030*p^137*q^2140+19885630439504*p^135*q^2142+7071526942280*p^ 133*q^2144+1590451954007*p^131*q^2146+266334892948*p^129*q^2148+36177798325*p^ 127*q^2150+3394021846*p^125*q^2152+137196930*p^123*q^2154+2054520*p^121*q^2156+ 7006*p^119*q^2158+120*p^117*q^2160+120*p^158*q^2118+784*p^156*q^2120+626874*p^ 154*q^2122+14388152*p^152*q^2124+267352500*p^150*q^2126+4016483072*p^148*q^2128 +39651175728*p^146*q^2130+277723648581*p^144*q^2132+1705034599876*p^142*q^2134+ 8295545604836*p^140*q^2136+22791038976324*p^138*q^2138+26285065186694*p^136*q^ 2140+13266831207190*p^134*q^2142+3684769846160*p^132*q^2144+712520063678*p^130* q^2146+107139896232*p^128*q^2148+13108536940*p^126*q^2150+866767773*p^124*q^ 2152+22614830*p^122*q^2154+310298*p^120*q^2156+40*p^118*q^2158+6*p^116*q^2160+8 *p^159*q^2116+1732*p^157*q^2118+34568*p^155*q^2120+3262954*p^153*q^2122+ 50494484*p^151*q^2124+1031220242*p^149*q^2126+12488502810*p^147*q^2128+ 102680914580*p^145*q^2130+672314207174*p^143*q^2132+3811537002654*p^141*q^2134+ 14859487685874*p^139*q^2136+27619400150971*p^137*q^2138+21029896068302*p^135*q^ 2140+7755448349909*p^133*q^2142+1773129350570*p^131*q^2144+302555729769*p^129*q ^2146+41648591608*p^127*q^2148+4141481112*p^125*q^2150+180987974*p^123*q^2152+ 2482600*p^121*q^2154+13116*p^119*q^2156+260*p^158*q^2116+9672*p^156*q^2118+ 441964*p^154*q^2120+14465908*p^152*q^2122+225252442*p^150*q^2124+3553481486*p^ 148*q^2126+35948183058*p^146*q^2128+256380303526*p^144*q^2130+1581974338154*p^ 142*q^2132+7874520071290*p^140*q^2134+22439780502456*p^138*q^2136+ 27306100426242*p^136*q^2138+14264900664532*p^134*q^2140+4081698923376*p^132*q^ 2142+799535167703*p^130*q^2144+122360643436*p^128*q^2146+15258386183*p^126*q^ 2148+1093590480*p^124*q^2150+31546256*p^122*q^2152+404844*p^120*q^2154+340*p^ 118*q^2156+8*p^116*q^2158+940*p^157*q^2116+12456*p^155*q^2118+2817940*p^153*q^ 2120+44838320*p^151*q^2122+899188288*p^149*q^2124+11192346010*p^147*q^2126+ 94387051636*p^145*q^2128+623733026098*p^143*q^2130+3559294582002*p^141*q^2132+ 14348859253890*p^139*q^2134+27825605882772*p^137*q^2136+22282269488434*p^135*q^ 2138+8451780255486*p^133*q^2140+1980221252556*p^131*q^2142+342059426958*p^129*q ^2144+47804272773*p^127*q^2146+5030790962*p^125*q^2148+242442310*p^123*q^2150+ 4192232*p^121*q^2152+48052*p^119*q^2154+172*p^158*q^2114+13444*p^156*q^2116+ 309240*p^154*q^2118+12949626*p^152*q^2120+190972284*p^150*q^2122+3141120780*p^ 148*q^2124+32561998574*p^146*q^2126+236076700143*p^144*q^2128+1471205618906*p^ 142*q^2130+7428121079365*p^140*q^2132+22132586790128*p^138*q^2134+ 28140979164226*p^136*q^2136+15381723897400*p^134*q^2138+4499548034822*p^132*q^ 2140+900358629756*p^130*q^2142+139472644545*p^128*q^2144+17849360640*p^126*q^ 2146+1383268456*p^124*q^2148+44156090*p^122*q^2150+426400*p^120*q^2152+524*p^ 118*q^2154+2024*p^157*q^2114+28200*p^155*q^2116+2234472*p^153*q^2118+43048942*p ^151*q^2120+773702737*p^149*q^2122+9980245122*p^147*q^2124+86700232720*p^145*q^ 2126+575795709436*p^143*q^2128+3330668335193*p^141*q^2130+13759535574398*p^139* q^2132+28099414546003*p^137*q^2134+23455916531854*p^135*q^2136+9240445417767*p^ 133*q^2138+2201691620716*p^131*q^2140+387510754538*p^129*q^2142+54639567090*p^ 127*q^2144+6019598012*p^125*q^2146+315060180*p^123*q^2148+5995510*p^121*q^2150+ 74886*p^119*q^2152+8*p^117*q^2154+28*p^158*q^2112+6552*p^156*q^2114+144546*p^ 154*q^2116+11077270*p^152*q^2118+159235172*p^150*q^2120+2773127612*p^148*q^2122 +29355984851*p^146*q^2124+217954593376*p^144*q^2126+1363821972800*p^142*q^2128+ 7026598356446*p^140*q^2130+21675888258074*p^138*q^2132+29085726257234*p^136*q^ 2134+16473361826832*p^134*q^2136+4970089499404*p^132*q^2138+1008189616235*p^130 *q^2140+158893732074*p^128*q^2142+20637423415*p^126*q^2144+1724050986*p^124*q^ 2146+59660920*p^122*q^2148+641726*p^120*q^2150+4220*p^118*q^2152+4*p^159*q^2110 +1952*p^157*q^2112+56626*p^155*q^2114+1799566*p^153*q^2116+41829352*p^151*q^ 2118+672728582*p^149*q^2120+8933728371*p^147*q^2122+79406722778*p^145*q^2124+ 533574801509*p^143*q^2126+3104744898904*p^141*q^2128+13230823772765*p^139*q^ 2130+28150094674814*p^137*q^2132+24745145928085*p^135*q^2134+10037253880440*p^ 133*q^2136+2453704538476*p^131*q^2138+436995662898*p^129*q^2140+62599279279*p^ 127*q^2142+7169061982*p^125*q^2144+411678474*p^123*q^2146+9511092*p^121*q^2148+ 81560*p^119*q^2150+8*p^117*q^2152+8*p^158*q^2110+10528*p^156*q^2112+129000*p^ 154*q^2114+9504074*p^152*q^2116+139041770*p^150*q^2118+2432115565*p^148*q^2120+ 26472541530*p^146*q^2122+200651246014*p^144*q^2124+1267168360414*p^142*q^2126+ 6610467443145*p^140*q^2128+21260021936826*p^138*q^2130+29818486529369*p^136*q^ 2132+17696163476096*p^134*q^2134+5463413302167*p^132*q^2136+1132375117106*p^130 *q^2138+180600885980*p^128*q^2140+23897380836*p^126*q^2142+2143212043*p^124*q^ 2144+81492528*p^122*q^2146+926196*p^120*q^2148+12248*p^118*q^2150+684*p^157*q^ 2110+41374*p^155*q^2112+1139450*p^153*q^2114+37705138*p^151*q^2116+567788976*p^ 149*q^2118+7947245900*p^147*q^2120+72600978435*p^145*q^2122+492036372878*p^143* q^2124+2900055076259*p^141*q^2126+12633758782312*p^139*q^2128+28275051069208*p^ 137*q^2130+25922320917610*p^135*q^2132+10940239847566*p^133*q^2134+ 2721263096000*p^131*q^2136+493837533094*p^129*q^2138+71424975952*p^127*q^2140+ 8461790935*p^125*q^2142+525580556*p^123*q^2144+12944745*p^121*q^2146+93088*p^ 119*q^2148+116*p^117*q^2150+96*p^158*q^2108+13196*p^156*q^2110+169598*p^154*q^ 2112+7985008*p^152*q^2114+127773582*p^150*q^2116+2146934794*p^148*q^2118+ 23854334269*p^146*q^2120+185165440254*p^144*q^2122+1173942368308*p^142*q^2124+ 6235346701808*p^140*q^2126+20719525938734*p^138*q^2128+30647656443478*p^136*q^ 2130+18876911296034*p^134*q^2132+6019639670544*p^132*q^2134+1264779572685*p^130 *q^2136+205304476756*p^128*q^2138+27416318247*p^126*q^2140+2624280860*p^124*q^ 2142+109474450*p^122*q^2144+1657216*p^120*q^2146+13572*p^118*q^2148+232*p^157*q ^2108+44956*p^155*q^2110+810332*p^153*q^2112+34367052*p^151*q^2114+483669630*p^ 149*q^2116+7075419093*p^147*q^2118+66060884692*p^145*q^2120+455454994409*p^143* q^2122+2698959305220*p^141*q^2124+12093749767078*p^139*q^2126+28173161355356*p^ 137*q^2128+27221729848179*p^135*q^2130+11844760800476*p^133*q^2132+ 3025912714360*p^131*q^2134+555722453546*p^129*q^2136+81685988921*p^127*q^2138+ 9938185364*p^125*q^2140+674770078*p^123*q^2142+18414422*p^121*q^2144+120016*p^ 119*q^2146+1412*p^117*q^2148+8*p^158*q^2106+7872*p^156*q^2108+184866*p^154*q^ 2110+6233886*p^152*q^2112+116887614*p^150*q^2114+1869181044*p^148*q^2116+ 21470627686*p^146*q^2118+170360768230*p^144*q^2120+1090034855984*p^142*q^2122+ 5851003352212*p^140*q^2124+20223121757812*p^138*q^2126+31259685097144*p^136*q^ 2128+20193235449988*p^134*q^2130+6597365521049*p^132*q^2132+1417128063834*p^130 *q^2134+232588944965*p^128*q^2136+31501332698*p^126*q^2138+3190897634*p^124*q^ 2140+144884952*p^122*q^2142+2548234*p^120*q^2144+16272*p^118*q^2146+948*p^157*q ^2106+59644*p^155*q^2108+659530*p^153*q^2110+30021242*p^151*q^2112+419914130*p^ 149*q^2114+6290096234*p^147*q^2116+60186742233*p^145*q^2118+419836063684*p^143* q^2120+2517340674838*p^141*q^2122+11503342993102*p^139*q^2124+28131855315329*p^ 137*q^2126+28381220811492*p^135*q^2128+12866749783608*p^133*q^2130+ 3348159733908*p^131*q^2132+626851501143*p^129*q^2134+93105316482*p^127*q^2136+ 11641864682*p^125*q^2138+855659482*p^123*q^2140+25859266*p^121*q^2142+203714*p^ 119*q^2144+1684*p^117*q^2146+3640*p^156*q^2106+178082*p^154*q^2108+4553882*p^ 152*q^2110+107831486*p^150*q^2112+1611483832*p^148*q^2114+19248838563*p^146*q^ 2116+156681323466*p^144*q^2118+1008303158134*p^142*q^2120+5505055218336*p^140*q ^2122+19607095351076*p^138*q^2124+31963089943054*p^136*q^2126+21457536537520*p^ 134*q^2128+7250139948522*p^132*q^2130+1579379487115*p^130*q^2132+263612902106*p ^128*q^2134+35992375891*p^126*q^2136+3816991680*p^124*q^2138+187754166*p^122*q^ 2140+3484860*p^120*q^2142+14196*p^118*q^2144+76*p^116*q^2146+312*p^157*q^2104+ 53116*p^155*q^2106+634284*p^153*q^2108+25849688*p^151*q^2110+370650266*p^149*q^ 2112+5604780398*p^147*q^2114+54655105522*p^145*q^2116+388665187021*p^143*q^2118 +2340436980732*p^141*q^2120+10971997171267*p^139*q^2122+27883800817962*p^137*q^ 2124+29652196811106*p^135*q^2126+13883139221686*p^133*q^2128+3712576963867*p^ 131*q^2130+703273805552*p^129*q^2132+106296954199*p^127*q^2134+13465536296*p^ 125*q^2136+1078223843*p^123*q^2138+36200858*p^121*q^2140+453560*p^119*q^2142+ 2738*p^117*q^2144+5688*p^156*q^2104+215400*p^154*q^2106+3546842*p^152*q^2108+ 99214030*p^150*q^2110+1396540499*p^148*q^2112+17290683860*p^146*q^2114+ 143698731360*p^144*q^2116+935431490032*p^142*q^2118+5152371338186*p^140*q^2120+ 19043580769422*p^138*q^2122+32416257927590*p^136*q^2124+22859461400784*p^134*q^ 2126+7925143556145*p^132*q^2128+1766363828254*p^130*q^2130+298286486570*p^128*q ^2132+41276790666*p^126*q^2134+4604978703*p^124*q^2136+249485822*p^122*q^2138+ 5298306*p^120*q^2140+14668*p^118*q^2142+152*p^116*q^2144+24*p^157*q^2102+33672* p^155*q^2104+650622*p^153*q^2106+20705484*p^151*q^2108+328330003*p^149*q^2110+ 4927488600*p^147*q^2112+49540839756*p^145*q^2114+357937606130*p^143*q^2116+ 2179657883996*p^141*q^2118+10396477308430*p^139*q^2120+27699138509237*p^137*q^ 2122+30766245312610*p^135*q^2124+15030023354177*p^133*q^2126+4098301020516*p^ 131*q^2128+791242818737*p^129*q^2130+120707745316*p^127*q^2132+15567316335*p^ 125*q^2134+1323645942*p^123*q^2136+46729188*p^121*q^2138+548542*p^119*q^2140+ 1776*p^117*q^2142+4236*p^156*q^2102+229870*p^154*q^2104+2551874*p^152*q^2106+ 88901572*p^150*q^2108+1212697814*p^148*q^2110+15501474000*p^146*q^2112+ 131921269616*p^144*q^2114+864899267077*p^142*q^2116+4837560494318*p^140*q^2118+ 18377358964239*p^138*q^2120+32968495902974*p^136*q^2122+24182815412439*p^134*q^ 2124+8682151845980*p^132*q^2126+1963852828359*p^130*q^2128+337265176442*p^128*q ^2130+47104353166*p^126*q^2132+5439471206*p^124*q^2134+321951813*p^122*q^2136+ 7937202*p^120*q^2138+64258*p^118*q^2140+300*p^116*q^2142+12*p^157*q^2100+29564* p^155*q^2102+724806*p^153*q^2104+17009726*p^151*q^2106+302154622*p^149*q^2108+ 4342725392*p^147*q^2110+44851866716*p^145*q^2112+330899518347*p^143*q^2114+ 2024029283568*p^141*q^2116+9880192801531*p^139*q^2118+27300575213626*p^137*q^ 2120+31991927535338*p^135*q^2122+16159647271888*p^133*q^2124+4535411685284*p^ 131*q^2126+886274159086*p^129*q^2128+137563627872*p^127*q^2130+17883413190*p^ 125*q^2132+1644177174*p^123*q^2134+65150338*p^121*q^2136+918038*p^119*q^2138+ 554*p^117*q^2140+8*p^115*q^2142+24*p^158*q^2098+940*p^156*q^2100+201516*p^154*q ^2102+2357474*p^152*q^2104+77522842*p^150*q^2106+1051138477*p^148*q^2108+ 13889262402*p^146*q^2110+120530346561*p^144*q^2112+801555488470*p^142*q^2114+ 4518847618314*p^140*q^2116+17764682068906*p^138*q^2118+33259058162892*p^136*q^ 2120+25656286021298*p^134*q^2122+9462633672738*p^132*q^2124+2190653549730*p^130 *q^2126+380397846200*p^128*q^2128+53889712854*p^126*q^2130+6417618030*p^124*q^ 2132+409830258*p^122*q^2134+10570230*p^120*q^2136+77914*p^118*q^2138+216*p^116* q^2140+30376*p^155*q^2100+752356*p^153*q^2102+12604344*p^151*q^2104+273713766*p ^149*q^2106+3802870166*p^147*q^2108+40552031459*p^145*q^2110+304538687622*p^143 *q^2112+1883240978388*p^141*q^2114+9332912596948*p^139*q^2116+26974004466618*p^ 137*q^2118+33019076401858*p^135*q^2120+17433940229497*p^133*q^2122+ 4992787450460*p^131*q^2124+995046639057*p^129*q^2126+155973326244*p^127*q^2128+ 20553510251*p^125*q^2130+2002421836*p^123*q^2132+86906602*p^121*q^2134+1455126* p^119*q^2136+5468*p^117*q^2138+16*p^115*q^2140+448*p^156*q^2098+156668*p^154*q^ 2100+2387368*p^152*q^2102+66345134*p^150*q^2104+928834854*p^148*q^2106+ 12397036317*p^146*q^2108+110278331200*p^144*q^2110+740494028949*p^142*q^2112+ 4232915204074*p^140*q^2114+17066468707338*p^138*q^2116+33637379288462*p^136*q^ 2118+27022702078371*p^134*q^2120+10339712077874*p^132*q^2122+2430858656294*p^ 130*q^2124+429323799060*p^128*q^2126+61416281822*p^126*q^2128+7483837894*p^124* q^2130+521198513*p^122*q^2132+14695560*p^120*q^2134+130444*p^118*q^2136+28*p^ 116*q^2138+368*p^157*q^2096+13900*p^155*q^2098+814600*p^153*q^2100+9919564*p^ 151*q^2102+249843020*p^149*q^2104+3326974955*p^147*q^2106+36599133198*p^145*q^ 2108+280999218317*p^143*q^2110+1746581434420*p^141*q^2112+8839978074139*p^139*q ^2114+26454640050102*p^137*q^2116+34159515992175*p^135*q^2118+18675884938278*p^ 133*q^2120+5511508796115*p^131*q^2122+1111752086422*p^129*q^2124+177203892624*p ^127*q^2126+23471571348*p^125*q^2128+2429960571*p^123*q^2130+113228400*p^121*q^ 2132+2145468*p^119*q^2134+11280*p^117*q^2136+14*p^115*q^2138+60*p^156*q^2096+ 150276*p^154*q^2098+2359648*p^152*q^2100+54916702*p^150*q^2102+825426372*p^148* q^2104+11056573400*p^146*q^2106+100507063552*p^144*q^2108+686019009280*p^142*q^ 2110+3947505321190*p^140*q^2112+16423747994038*p^138*q^2114+33751190148872*p^ 136*q^2116+28539348950788*p^134*q^2118+11232643095374*p^132*q^2120+ 2706177616462*p^130*q^2122+483090582491*p^128*q^2124+70171501410*p^126*q^2126+ 8716406840*p^124*q^2128+659993272*p^122*q^2130+21581598*p^120*q^2132+221232*p^ 118*q^2134+156*p^116*q^2136+40*p^157*q^2094+7220*p^155*q^2096+725992*p^153*q^ 2098+8527640*p^151*q^2100+222183240*p^149*q^2102+2908347136*p^147*q^2104+ 33021039968*p^145*q^2106+258118809950*p^143*q^2108+1623185558362*p^141*q^2110+ 8324537557262*p^139*q^2112+25995774770777*p^137*q^2114+35082891649716*p^135*q^ 2116+20072730098617*p^133*q^2118+6053471448886*p^131*q^2120+1245856334135*p^129 *q^2122+200533300014*p^127*q^2124+26924827181*p^125*q^2126+2910615266*p^123*q^ 2128+147109338*p^121*q^2130+2796598*p^119*q^2132+13680*p^117*q^2134+2*p^115*q^ 2136+2360*p^156*q^2094+109220*p^154*q^2096+2485620*p^152*q^2098+43513330*p^150* q^2100+745321094*p^148*q^2102+9790770879*p^146*q^2104+91652814374*p^144*q^2106+ 633025436204*p^142*q^2108+3691711326522*p^140*q^2110+15710078144712*p^138*q^ 2112+33951081496496*p^136*q^2114+29927871612793*p^134*q^2116+12236999851696*p^ 132*q^2118+2995764656305*p^130*q^2120+543976623322*p^128*q^2122+79764108608*p^ 126*q^2124+10032503052*p^124*q^2126+819518283*p^122*q^2128+28358236*p^120*q^ 2130+356830*p^118*q^2132+1424*p^116*q^2134+1992*p^155*q^2094+636100*p^153*q^ 2096+7971904*p^151*q^2098+195325502*p^149*q^2100+2551234514*p^147*q^2102+ 29775273778*p^145*q^2104+237586874400*p^143*q^2106+1504349429766*p^141*q^2108+ 7862748620896*p^139*q^2110+25364990655282*p^137*q^2112+36101370207081*p^135*q^ 2114+21423080799948*p^133*q^2116+6664911932782*p^131*q^2118+1388865595972*p^129 *q^2120+227300812834*p^127*q^2122+30717407622*p^125*q^2124+3472817160*p^123*q^ 2126+193147200*p^121*q^2128+4633336*p^119*q^2130+29736*p^117*q^2132+1176*p^156* q^2092+70212*p^154*q^2094+2622082*p^152*q^2096+35087368*p^150*q^2098+678424816* p^148*q^2100+8687977048*p^146*q^2102+83195722101*p^144*q^2104+586214879198*p^ 142*q^2106+3436532667319*p^140*q^2108+15057475295318*p^138*q^2110+ 33877420988131*p^136*q^2112+31461673934200*p^134*q^2114+13255068662895*p^132*q^ 2116+3327855976126*p^130*q^2118+610973844798*p^128*q^2120+91019731178*p^126*q^ 2122+11564112632*p^124*q^2124+1022552728*p^122*q^2126+38048616*p^120*q^2128+ 484956*p^118*q^2130+816*p^116*q^2132+8720*p^155*q^2092+558728*p^153*q^2094+ 7430490*p^151*q^2096+166225318*p^149*q^2098+2235726658*p^147*q^2100+26754228082 *p^145*q^2102+217860052452*p^143*q^2104+1396083898653*p^141*q^2106+ 7383096903164*p^139*q^2108+24802252908932*p^137*q^2110+36881330866514*p^135*q^ 2112+22937906055020*p^133*q^2114+7301821784350*p^131*q^2116+1553170492521*p^129 *q^2118+256539018394*p^127*q^2120+35127191350*p^125*q^2122+4088787954*p^123*q^ 2124+245151183*p^121*q^2126+6395836*p^119*q^2128+43422*p^117*q^2130+92*p^115*q^ 2132+2*p^158*q^2088+88*p^156*q^2090+30920*p^154*q^2092+2373808*p^152*q^2094+ 29321394*p^150*q^2096+607426952*p^148*q^2098+7675979642*p^146*q^2100+ 75685276450*p^144*q^2102+540192051034*p^142*q^2104+3209546491652*p^140*q^2106+ 14345969306546*p^138*q^2108+33898507583284*p^136*q^2110+32835606341619*p^134*q^ 2112+14393629956104*p^132*q^2114+3676219538036*p^130*q^2116+686541925638*p^128* q^2118+103220823249*p^126*q^2120+13252916952*p^124*q^2122+1247886227*p^122*q^ 2124+50352226*p^120*q^2126+773828*p^118*q^2128+3568*p^116*q^2130+11084*p^155*q^ 2090+446432*p^153*q^2092+7765226*p^151*q^2094+139715516*p^149*q^2096+2010846816 *p^147*q^2098+24004285370*p^145*q^2100+200104799957*p^143*q^2102+1293112002162* p^141*q^2104+6954896971711*p^139*q^2106+24076952670528*p^137*q^2108+ 37759395126081*p^135*q^2110+24381993438712*p^133*q^2112+8019167407114*p^131*q^ 2114+1728324865542*p^129*q^2116+290118480517*p^127*q^2118+40103916378*p^125*q^ 2120+4786989248*p^123*q^2122+318445544*p^121*q^2124+9208506*p^119*q^2126+77680* p^117*q^2128+12*p^115*q^2130+8*p^158*q^2086+72*p^156*q^2088+27552*p^154*q^2090+ 2218936*p^152*q^2092+25904350*p^150*q^2094+542783296*p^148*q^2096+6738438108*p^ 146*q^2098+68579996636*p^144*q^2100+499200768516*p^142*q^2102+2983014124343*p^ 140*q^2104+13695028972248*p^138*q^2106+33642144144806*p^136*q^2108+ 34362903160724*p^134*q^2110+15540124161917*p^132*q^2112+4075274196592*p^130*q^ 2114+769222809088*p^128*q^2116+117579964340*p^126*q^2118+15147648393*p^124*q^ 2120+1527306068*p^122*q^2122+65834896*p^120*q^2124+1222262*p^118*q^2126+3862*p^ 116*q^2128+30*p^157*q^2086+2576*p^155*q^2088+278868*p^153*q^2090+7543292*p^151* q^2092+113277172*p^149*q^2094+1793247580*p^147*q^2096+21532454210*p^145*q^2098+ 182848876100*p^143*q^2100+1199607999393*p^141*q^2102+6516517008834*p^139*q^2104 +23427183530709*p^137*q^2106+38367047839260*p^135*q^2108+26004539171117*p^133*q ^2110+8761091140802*p^131*q^2112+1928153380768*p^129*q^2114+326793856754*p^127* q^2116+45718527188*p^125*q^2118+5567736068*p^123*q^2120+398914663*p^121*q^2122+ 12149524*p^119*q^2124+102570*p^117*q^2126+332*p^115*q^2128+14*p^158*q^2084+ 55028*p^154*q^2088+1996650*p^152*q^2090+23477210*p^150*q^2092+478755842*p^148*q ^2094+5961548416*p^146*q^2096+62184834758*p^144*q^2098+459831639706*p^142*q^ 2100+2781308311302*p^140*q^2102+13000190437097*p^138*q^2104+33478064930218*p^ 136*q^2106+35688323131143*p^134*q^2108+16825046491052*p^132*q^2110+ 4491519315793*p^130*q^2112+863299136686*p^128*q^2114+133100651024*p^126*q^2116+ 17385132256*p^124*q^2118+1828161874*p^122*q^2120+87366988*p^120*q^2122+1938188* p^118*q^2124+8828*p^116*q^2126+120*p^157*q^2084+1712*p^155*q^2086+146782*p^153* q^2088+7383694*p^151*q^2090+96962752*p^149*q^2092+1615962513*p^147*q^2094+ 19194654958*p^145*q^2096+167468386453*p^143*q^2098+1109317811460*p^141*q^2100+ 6123055776154*p^139*q^2102+22639551422218*p^137*q^2104+39068910018259*p^135*q^ 2106+27530504818662*p^133*q^2108+9597547715731*p^131*q^2110+2141447509584*p^129 *q^2112+368578401075*p^127*q^2114+52082629106*p^125*q^2116+6405384146*p^123*q^ 2118+506310670*p^121*q^2120+16122490*p^119*q^2122+180810*p^117*q^2124+272*p^115 *q^2126+186*p^156*q^2084+28368*p^154*q^2086+1619792*p^152*q^2088+22290682*p^150 *q^2090+407762378*p^148*q^2092+5279979702*p^146*q^2094+56243503345*p^144*q^2096 +424313083304*p^142*q^2098+2582833526308*p^140*q^2100+12366279364534*p^138*q^ 2102+33052056594893*p^136*q^2104+37164432502858*p^134*q^2106+18099563869542*p^ 132*q^2108+4968346799626*p^130*q^2110+964860730433*p^128*q^2112+151194331024*p^ 126*q^2114+19831246339*p^124*q^2116+2198258112*p^122*q^2118+113651351*p^120*q^ 2120+2842796*p^118*q^2122+14088*p^116*q^2124+16*p^114*q^2126+243*p^157*q^2082+ 208*p^155*q^2084+203956*p^153*q^2086+7029610*p^151*q^2088+82425896*p^149*q^2090 +1455810794*p^147*q^2092+17107739419*p^145*q^2094+152634256126*p^143*q^2096+ 1028111526764*p^141*q^2098+5724112381440*p^139*q^2100+21919591278764*p^137*q^ 2102+39492848480112*p^135*q^2104+29238057751447*p^133*q^2106+10458564223298*p^ 131*q^2108+2385204675611*p^129*q^2110+414535972378*p^127*q^2112+59426203362*p^ 125*q^2114+7384862644*p^123*q^2116+627370451*p^121*q^2118+21683342*p^119*q^2120 +301282*p^117*q^2122+504*p^115*q^2124+4*p^158*q^2080+780*p^156*q^2082+18324*p^ 154*q^2084+986388*p^152*q^2086+21518516*p^150*q^2088+348061022*p^148*q^2090+ 4686599063*p^146*q^2092+50846254302*p^144*q^2094+390004660424*p^142*q^2096+ 2405016265536*p^140*q^2098+11698381868842*p^138*q^2100+32715782583652*p^136*q^ 2102+38415225230699*p^134*q^2104+19530763101998*p^132*q^2106+5463085989047*p^ 130*q^2108+1080491467688*p^128*q^2110+170664570755*p^126*q^2112+22636930536*p^ 124*q^2114+2574343946*p^122*q^2116+146847182*p^120*q^2118+3589534*p^118*q^2120+ 18306*p^116*q^2122+12*p^114*q^2124+16*p^157*q^2080+736*p^155*q^2082+169956*p^ 153*q^2084+6565816*p^151*q^2086+72089656*p^149*q^2088+1294414510*p^147*q^2090+ 15213573002*p^145*q^2092+139464413292*p^143*q^2094+949931818156*p^141*q^2096+ 5368701953428*p^139*q^2098+21088404079322*p^137*q^2100+39997842796091*p^135*q^ 2102+30826118921628*p^133*q^2104+11423869674158*p^131*q^2106+2643316918634*p^ 129*q^2108+466758205679*p^127*q^2110+67583092476*p^125*q^2112+8470130112*p^123* q^2114+777894414*p^121*q^2116+28986982*p^119*q^2118+614404*p^117*q^2120+1860*p^ 115*q^2122+1969*p^156*q^2080+6596*p^154*q^2082+832674*p^152*q^2084+21425412*p^ 150*q^2086+298550160*p^148*q^2088+4218563986*p^146*q^2090+45834284847*p^144*q^ 2092+359159931528*p^142*q^2094+2230856226925*p^140*q^2096+11090590932116*p^138* q^2098+32127539896136*p^136*q^2100+39798622930052*p^134*q^2102+20941227131100*p ^132*q^2104+6029127706196*p^130*q^2106+1205622508112*p^128*q^2108+193463851486* p^126*q^2110+25831270299*p^124*q^2112+3037323752*p^122*q^2114+192255066*p^120*q ^2116+5185886*p^118*q^2118+29968*p^116*q^2120+16*p^114*q^2122+102*p^157*q^2078+ 2964*p^155*q^2080+122308*p^153*q^2082+5101552*p^151*q^2084+64110234*p^149*q^ 2086+1132969114*p^147*q^2088+13468987518*p^145*q^2090+126712827458*p^143*q^2092 +879292827588*p^141*q^2094+5007320553408*p^139*q^2096+20330931663473*p^137*q^ 2098+40210827136356*p^135*q^2100+32602079311742*p^133*q^2102+12414678378630*p^ 131*q^2104+2938860375372*p^129*q^2106+523716537428*p^127*q^2108+76922886106*p^ 125*q^2110+9691512598*p^123*q^2112+940972656*p^121*q^2114+37095090*p^119*q^2116 +712620*p^117*q^2118+1080*p^115*q^2120+632*p^156*q^2078+3424*p^154*q^2080+ 763572*p^152*q^2082+20693594*p^150*q^2084+253660644*p^148*q^2086+3779690870*p^ 146*q^2088+41334435250*p^144*q^2090+329556151909*p^142*q^2092+2075132680778*p^ 140*q^2094+10460983283961*p^138*q^2096+31638445550010*p^136*q^2098+ 40932747712244*p^134*q^2100+22512262831790*p^132*q^2102+6614901670253*p^130*q^ 2104+1347055751768*p^128*q^2106+217893566885*p^126*q^2108+29463295136*p^124*q^ 2110+3503489254*p^122*q^2112+243832594*p^120*q^2114+6881726*p^118*q^2116+101224 *p^116*q^2118+124*p^114*q^2120+8*p^157*q^2076+9387*p^155*q^2078+75324*p^153*q^ 2080+3864564*p^151*q^2082+61572842*p^149*q^2084+996540272*p^147*q^2086+ 12025504016*p^145*q^2088+115548460056*p^143*q^2090+811545319260*p^141*q^2092+ 4687918040023*p^139*q^2094+19469592700458*p^137*q^2096+40512672580806*p^135*q^ 2098+34214519552206*p^133*q^2100+13524850211311*p^131*q^2102+3250892459730*p^ 129*q^2104+588870928839*p^127*q^2106+87360401502*p^125*q^2108+11102828802*p^123 *q^2110+1149610166*p^121*q^2112+51780080*p^119*q^2114+1154384*p^117*q^2116+1700 *p^115*q^2118+1038*p^156*q^2076+8792*p^154*q^2078+602150*p^152*q^2080+19185200* p^150*q^2082+216744746*p^148*q^2084+3374979056*p^146*q^2086+36988954584*p^144*q ^2088+302483731000*p^142*q^2090+1922505454473*p^140*q^2092+9886822929618*p^138* q^2094+30912744796155*p^136*q^2096+42199415061784*p^134*q^2098+24053290671030*p ^132*q^2100+7282817936646*p^130*q^2102+1500357587150*p^128*q^2104+246356721698* p^126*q^2106+33583645856*p^124*q^2108+4053432960*p^122*q^2110+305413506*p^120*q ^2112+8409766*p^118*q^2114+131384*p^116*q^2116+24*p^114*q^2118+7120*p^155*q^ 2076+30594*p^153*q^2078+3291678*p^151*q^2080+58577816*p^149*q^2082+860740522*p^ 147*q^2084+10735897962*p^145*q^2086+104898342114*p^143*q^2088+750651754116*p^ 141*q^2090+4366450859488*p^139*q^2092+18691446491582*p^137*q^2094+ 40503942637338*p^135*q^2096+36029006355614*p^133*q^2098+14650053568614*p^131*q^ 2100+3606394530895*p^129*q^2102+659155118092*p^127*q^2104+99183064989*p^125*q^ 2106+12638046366*p^123*q^2108+1372587248*p^121*q^2110+68308954*p^119*q^2112+ 1660572*p^117*q^2114+10028*p^115*q^2116+332*p^156*q^2074+28160*p^154*q^2076+ 487476*p^152*q^2078+15897786*p^150*q^2080+190018960*p^148*q^2082+3017162058*p^ 146*q^2084+33182697678*p^144*q^2086+276783757773*p^142*q^2088+1785689877172*p^ 140*q^2090+9298671699946*p^138*q^2092+30284702714468*p^136*q^2094+ 43174313563481*p^134*q^2096+25770112699982*p^132*q^2098+7972841279102*p^130*q^ 2100+1674503755934*p^128*q^2102+277291538591*p^126*q^2104+38339260122*p^124*q^ 2106+4673519608*p^122*q^2108+380609912*p^120*q^2110+11845084*p^118*q^2112+ 193630*p^116*q^2114+36*p^114*q^2116+6566*p^155*q^2074+36332*p^153*q^2076+ 2615418*p^151*q^2078+57249486*p^149*q^2080+745979228*p^147*q^2082+9596499642*p^ 145*q^2084+95335780236*p^143*q^2086+691761071668*p^141*q^2088+4080839086653*p^ 139*q^2090+17833631584066*p^137*q^2092+40587501192481*p^135*q^2094+ 37642368781928*p^133*q^2096+15915217926071*p^131*q^2098+3980447797408*p^129*q^ 2100+739180906136*p^127*q^2102+112140935320*p^125*q^2104+14423192496*p^123*q^ 2106+1606767006*p^121*q^2108+88987239*p^119*q^2110+1917462*p^117*q^2112+22658*p ^115*q^2114+22*p^156*q^2072+39622*p^154*q^2074+262408*p^152*q^2076+13467686*p^ 150*q^2078+172463662*p^148*q^2080+2671726900*p^146*q^2082+29690115955*p^144*q^ 2084+253720193898*p^142*q^2086+1652831890051*p^140*q^2088+8764056895876*p^138*q ^2090+29446121497367*p^136*q^2092+44277229617258*p^134*q^2094+27421833432101*p^ 132*q^2096+8757357118840*p^130*q^2098+1861364864977*p^128*q^2100+312998784720*p ^126*q^2102+43721323374*p^124*q^2104+5371414754*p^122*q^2106+483013972*p^120*q^ 2108+16808576*p^118*q^2110+395027*p^116*q^2112+472*p^114*q^2114+20*p^157*q^2070 +4952*p^155*q^2072+60371*p^153*q^2074+2295958*p^151*q^2076+52872244*p^149*q^ 2078+636576856*p^147*q^2080+8607584048*p^145*q^2082+86188444452*p^143*q^2084+ 638316186647*p^141*q^2086+3795112036190*p^139*q^2088+17049023029244*p^137*q^ 2090+40368714035934*p^135*q^2092+39452515694990*p^133*q^2094+17189716604514*p^ 131*q^2096+4408733602407*p^129*q^2098+826178555632*p^127*q^2100+127135461386*p^ 125*q^2102+16421226484*p^123*q^2104+1889465858*p^121*q^2106+111288772*p^119*q^ 2108+2374549*p^117*q^2110+18356*p^115*q^2112+28*p^156*q^2070+33232*p^154*q^2072 +215792*p^152*q^2074+10932528*p^150*q^2076+159771248*p^148*q^2078+2362504568*p^ 146*q^2080+26572643910*p^144*q^2082+231656005379*p^142*q^2084+1534238265086*p^ 140*q^2086+8221137011121*p^138*q^2088+28704924690458*p^136*q^2090+ 45074905507193*p^134*q^2092+29268250075242*p^132*q^2094+9561955306596*p^130*q^ 2096+2073192032166*p^128*q^2098+351319698474*p^126*q^2100+49740396456*p^124*q^ 2102+6121880140*p^122*q^2104+582302558*p^120*q^2106+23013411*p^118*q^2108+ 474120*p^116*q^2110+2788*p^114*q^2112+778*p^155*q^2070+128464*p^153*q^2072+ 1577158*p^151*q^2074+47157006*p^149*q^2076+555995852*p^147*q^2078+7703938596*p^ 145*q^2080+78095791507*p^143*q^2082+587302510736*p^141*q^2084+3541278125419*p^ 139*q^2086+16206440764768*p^137*q^2088+40233821857800*p^135*q^2090+ 41031283476582*p^133*q^2092+18614129339820*p^131*q^2094+4855612609716*p^129*q^ 2096+925354894654*p^127*q^2098+143582653662*p^125*q^2100+18777153230*p^123*q^ 2102+2197325540*p^121*q^2104+146520440*p^119*q^2106+3486822*p^117*q^2108+74412* p^115*q^2110+8*p^113*q^2112+308*p^156*q^2068+36978*p^154*q^2070+171434*p^152*q^ 2072+9459412*p^150*q^2074+152415796*p^148*q^2076+2067889446*p^146*q^2078+ 23814097937*p^144*q^2080+211905502408*p^142*q^2082+1418329241495*p^140*q^2084+ 7731332624106*p^138*q^2086+27773825196023*p^136*q^2088+45976159685496*p^134*q^ 2090+31028229060980*p^132*q^2092+10477071899080*p^130*q^2094+2300797362802*p^ 128*q^2096+395698343458*p^126*q^2098+56542945513*p^124*q^2100+7004200454*p^122* q^2102+708991090*p^120*q^2104+30232762*p^118*q^2106+533220*p^116*q^2108+656*p^ 114*q^2110+696*p^155*q^2068+134722*p^153*q^2070+1212672*p^151*q^2072+40737770*p ^149*q^2074+485095460*p^147*q^2076+6891472836*p^145*q^2078+70282194346*p^143*q^ 2080+540776662584*p^141*q^2082+3288260705608*p^139*q^2084+15437389452564*p^137* q^2086+39802662008382*p^135*q^2088+42803962224953*p^133*q^2090+20042887356042*p ^131*q^2092+5366738647175*p^129*q^2094+1032197422914*p^127*q^2096+162468424706* p^125*q^2098+21406788708*p^123*q^2100+2543793638*p^121*q^2102+184444936*p^119*q ^2104+4961986*p^117*q^2106+108280*p^115*q^2108+156*p^113*q^2110+32*p^156*q^2066 +13238*p^154*q^2068+284616*p^152*q^2070+7358956*p^150*q^2072+141279542*p^148*q^ 2074+1799874448*p^146*q^2076+21352455144*p^144*q^2078+193100516608*p^142*q^2080 +1314836292316*p^140*q^2082+7236133449744*p^138*q^2084+26952113825366*p^136*q^ 2086+46554560910768*p^134*q^2088+32981516499170*p^132*q^2090+11412323745246*p^ 130*q^2092+2557971994932*p^128*q^2094+443241118281*p^126*q^2096+64189297990*p^ 124*q^2098+7946846130*p^122*q^2100+839824912*p^120*q^2102+39330020*p^118*q^2104 +629552*p^116*q^2106+8464*p^114*q^2108+2025*p^155*q^2066+169864*p^153*q^2068+ 912396*p^151*q^2070+35691102*p^149*q^2072+441007692*p^147*q^2074+6164074792*p^ 145*q^2076+63520559084*p^143*q^2078+496603284700*p^141*q^2080+3064855546633*p^ 139*q^2082+14621045618418*p^137*q^2084+39465102508671*p^135*q^2086+ 44298650250820*p^133*q^2088+21635044956349*p^131*q^2090+5899514955060*p^129*q^ 2092+1154309395697*p^127*q^2094+183205256642*p^125*q^2096+24475989790*p^123*q^ 2098+2932009566*p^121*q^2100+235967070*p^119*q^2102+7445086*p^117*q^2104+150072 *p^115*q^2106+8*p^113*q^2108+8400*p^154*q^2066+400398*p^152*q^2068+5738284*p^ 150*q^2070+128992192*p^148*q^2072+1566708026*p^146*q^2074+19134425826*p^144*q^ 2076+176085282830*p^142*q^2078+1213926937348*p^140*q^2080+6788722974998*p^138*q ^2082+25958536882337*p^136*q^2084+47245125208162*p^134*q^2086+34819319496706*p^ 132*q^2088+12472949928720*p^130*q^2090+2833555824839*p^128*q^2092+498279408880* p^126*q^2094+72784410909*p^124*q^2096+9081508552*p^122*q^2098+998193806*p^120*q ^2100+51006306*p^118*q^2102+841842*p^116*q^2104+19144*p^114*q^2106+1012*p^155*q ^2064+113135*p^153*q^2066+726188*p^151*q^2068+29811812*p^149*q^2070+402235162*p ^147*q^2072+5449515819*p^145*q^2074+57077243826*p^143*q^2076+456457882763*p^141 *q^2078+2842490625090*p^139*q^2080+13880528916741*p^137*q^2082+38834325136158*p ^135*q^2084+45992234516749*p^133*q^2086+23215842892944*p^131*q^2088+ 6505621817303*p^129*q^2090+1285446195224*p^127*q^2092+206772340425*p^125*q^2094 +27849808670*p^123*q^2096+3353599763*p^121*q^2098+290407478*p^119*q^2100+ 9801290*p^117*q^2102+138958*p^115*q^2104+376*p^113*q^2106+9269*p^154*q^2064+ 541522*p^152*q^2066+4736158*p^150*q^2068+117068696*p^148*q^2070+1369285692*p^ 146*q^2072+17235410584*p^144*q^2074+160014722911*p^142*q^2076+1123683001068*p^ 140*q^2078+6341937544650*p^138*q^2080+25074850197282*p^136*q^2082+ 47581541025458*p^134*q^2084+36867183101010*p^132*q^2086+13549022033147*p^130*q^ 2088+3145756730260*p^128*q^2090+557463087223*p^126*q^2092+82565080634*p^124*q^ 2094+10346167470*p^122*q^2096+1170610862*p^120*q^2098+66935005*p^118*q^2100+ 1481352*p^116*q^2102+34268*p^114*q^2104+84*p^155*q^2062+67120*p^153*q^2064+ 963852*p^151*q^2066+23769196*p^149*q^2068+370837900*p^147*q^2070+4830786740*p^ 145*q^2072+51401434682*p^143*q^2074+418342079246*p^141*q^2076+2645153206539*p^ 139*q^2078+13105860367484*p^137*q^2080+38302470759527*p^135*q^2082+ 47365393587970*p^133*q^2084+24981247285438*p^131*q^2086+7136347549918*p^129*q^ 2088+1435022329937*p^127*q^2090+232513761950*p^125*q^2092+31764693093*p^123*q^ 2094+3816157126*p^121*q^2096+355486046*p^119*q^2098+13065400*p^117*q^2100+ 114852*p^115*q^2102+2404*p^113*q^2104+9784*p^154*q^2062+548893*p^152*q^2064+ 3275642*p^150*q^2066+105004850*p^148*q^2068+1209934946*p^146*q^2070+15419973705 *p^144*q^2072+145597282148*p^142*q^2074+1035793765791*p^140*q^2076+ 5938997866586*p^138*q^2078+24050828883092*p^136*q^2080+48027691729268*p^134*q^ 2082+38750239818096*p^132*q^2084+14769387771374*p^130*q^2086+3477251134926*p^ 128*q^2088+625344979400*p^126*q^2090+93455401490*p^124*q^2092+11815329690*p^122 *q^2094+1367560981*p^120*q^2096+87925592*p^118*q^2098+2190222*p^116*q^2100+ 47308*p^114*q^2102+68*p^155*q^2060+51708*p^153*q^2062+1311112*p^151*q^2064+ 20265937*p^149*q^2066+339958930*p^147*q^2068+4247611286*p^145*q^2070+ 46279871154*p^143*q^2072+383720940050*p^141*q^2074+2450869403500*p^139*q^2076+ 12400852969329*p^137*q^2078+37501889796466*p^135*q^2080+48923525197182*p^133*q^ 2082+26712348735498*p^131*q^2084+7855286897578*p^129*q^2086+1595707037022*p^127 *q^2088+262220024383*p^125*q^2090+36105583910*p^123*q^2092+4369563543*p^121*q^ 2094+432161812*p^119*q^2096+16693900*p^117*q^2098+215480*p^115*q^2100+4166*p^ 113*q^2102+2652*p^154*q^2060+390034*p^152*q^2062+2877797*p^150*q^2064+88128852* p^148*q^2066+1078499478*p^146*q^2068+13806590522*p^144*q^2070+131701508457*p^ 142*q^2072+957042422868*p^140*q^2074+5536394495170*p^138*q^2076+23128120822304* p^136*q^2078+48123680975031*p^134*q^2080+40856211985074*p^132*q^2082+ 16001133825217*p^130*q^2084+3853440379442*p^128*q^2086+698466746352*p^126*q^ 2088+105660864370*p^124*q^2090+13456831138*p^122*q^2092+1568007984*p^120*q^2094 +109987864*p^118*q^2096+3083352*p^116*q^2098+19140*p^114*q^2100+156*p^112*q^ 2102+50720*p^153*q^2060+1710666*p^151*q^2062+15653188*p^149*q^2064+316637778*p^ 147*q^2066+3737938950*p^145*q^2068+41741075905*p^143*q^2070+351187955108*p^141* q^2072+2278353892051*p^139*q^2074+11677936975200*p^137*q^2076+36803444732851*p^ 135*q^2078+50138178563936*p^133*q^2080+28637805527104*p^131*q^2082+ 8595176911610*p^129*q^2084+1778646480987*p^127*q^2086+294065628094*p^125*q^2088 +41110724829*p^123*q^2090+4953525396*p^121*q^2092+518284448*p^119*q^2094+ 23052190*p^117*q^2096+396926*p^115*q^2098+14242*p^113*q^2100+1592*p^154*q^2058+ 315657*p^152*q^2060+3060756*p^150*q^2062+75950974*p^148*q^2064+974981582*p^146* q^2066+12343115539*p^144*q^2068+119529259244*p^142*q^2070+880683873426*p^140*q^ 2072+5175570548630*p^138*q^2074+22089948105147*p^136*q^2076+48302064686324*p^ 134*q^2078+42761471514305*p^132*q^2080+17393976576802*p^130*q^2082+ 4252753178355*p^128*q^2084+782713476110*p^126*q^2086+119515600382*p^124*q^2088+ 15407798908*p^122*q^2090+1817308305*p^120*q^2092+142652886*p^118*q^2094+4080424 *p^116*q^2096+21092*p^114*q^2098+164*p^112*q^2100+31320*p^153*q^2058+1569756*p^ 151*q^2060+12137236*p^149*q^2062+283925548*p^147*q^2064+3276561770*p^145*q^2066 +37456920854*p^143*q^2068+321270091992*p^141*q^2070+2107499925472*p^139*q^2072+ 11019461883055*p^137*q^2074+35853485731446*p^135*q^2076+51531595294125*p^133*q^ 2078+30517349555608*p^131*q^2080+9439807663719*p^129*q^2082+1974314680432*p^127 *q^2084+330800206867*p^125*q^2086+46568695522*p^123*q^2088+5639254313*p^121*q^ 2090+608103452*p^119*q^2092+28866898*p^117*q^2094+589820*p^115*q^2096+7112*p^ 113*q^2098+210*p^154*q^2056+220576*p^152*q^2058+4029295*p^150*q^2060+63065812*p ^148*q^2062+886021826*p^146*q^2064+11000726406*p^144*q^2066+108123381384*p^142* q^2068+812467968574*p^140*q^2070+4817710385796*p^138*q^2072+21162007015986*p^ 136*q^2074+48140227985201*p^134*q^2076+44873524241992*p^132*q^2078+ 18791364795740*p^130*q^2080+4703421730590*p^128*q^2082+872489529116*p^126*q^ 2084+134894741348*p^124*q^2086+17542503383*p^122*q^2088+2071575662*p^120*q^2090 +176435135*p^118*q^2092+5496246*p^116*q^2094+54472*p^114*q^2096+2486*p^112*q^ 2098+4*p^157*q^2052+17546*p^153*q^2056+1472890*p^151*q^2058+10044734*p^149*q^ 2060+253377954*p^147*q^2062+2910317456*p^145*q^2064+33781822894*p^143*q^2066+ 293045077004*p^141*q^2068+1956385226225*p^139*q^2070+10346996838490*p^137*q^ 2072+35013691115986*p^135*q^2074+52534126983934*p^133*q^2076+32601864290105*p^ 131*q^2078+10308562872092*p^129*q^2080+2197603034954*p^127*q^2082+370817583534* p^125*q^2084+52981955917*p^123*q^2086+6425736198*p^121*q^2088+718312162*p^119*q ^2090+40066276*p^117*q^2092+953842*p^115*q^2094+1224*p^113*q^2096+92*p^154*q^ 2054+199992*p^152*q^2056+4453278*p^150*q^2058+51269066*p^148*q^2060+814560498*p ^146*q^2062+9745585840*p^144*q^2064+97889796818*p^142*q^2066+746636903152*p^140 *q^2068+4496361800460*p^138*q^2070+20133348908025*p^136*q^2072+48077257599352*p ^134*q^2074+46751761263889*p^132*q^2076+20365707821978*p^130*q^2078+ 5180666187692*p^128*q^2080+976091823428*p^126*q^2082+151923978302*p^124*q^2084+ 20009810134*p^122*q^2086+2360133734*p^120*q^2088+215372514*p^118*q^2090+6741884 *p^116*q^2092+80424*p^114*q^2094+2836*p^112*q^2096+8*p^157*q^2050+6740*p^153*q^ 2054+1050068*p^151*q^2056+9993049*p^149*q^2058+219692248*p^147*q^2060+ 2575279168*p^145*q^2062+30322423222*p^143*q^2064+267577912310*p^141*q^2066+ 1807201785734*p^139*q^2068+9739163654024*p^137*q^2070+33944562612680*p^135*q^ 2072+53715587892567*p^133*q^2074+34604400116048*p^131*q^2076+11294576240912*p^ 129*q^2078+2435492088358*p^127*q^2080+416339535442*p^125*q^2082+59999957292*p^ 123*q^2084+7342333398*p^121*q^2086+835665894*p^119*q^2088+52634164*p^117*q^2090 +1301222*p^115*q^2092+5415*p^113*q^2094+180*p^111*q^2096+60*p^156*q^2050+80*p^ 154*q^2052+130626*p^152*q^2054+4826932*p^150*q^2056+41028334*p^148*q^2058+ 746763518*p^146*q^2060+8652708400*p^144*q^2062+88422741926*p^142*q^2064+ 687351572260*p^140*q^2066+4179292833409*p^138*q^2068+19213698386658*p^136*q^ 2070+47653911459695*p^134*q^2072+48853046688080*p^132*q^2074+21934964605436*p^ 130*q^2076+5720232753746*p^128*q^2078+1086951931972*p^126*q^2080+171271342338*p ^124*q^2082+22757178380*p^122*q^2084+2680716596*p^120*q^2086+260126210*p^118*q^ 2088+9155426*p^116*q^2090+171504*p^114*q^2092+32*p^112*q^2094+4*p^157*q^2048+ 1852*p^153*q^2052+907080*p^151*q^2054+10807538*p^149*q^2056+188383222*p^147*q^ 2058+2306321402*p^145*q^2060+27245511194*p^143*q^2062+243496888622*p^141*q^2064 +1674885701555*p^139*q^2066+9124569249330*p^137*q^2068+32990144313997*p^135*q^ 2070+54481054197572*p^133*q^2072+36829604562002*p^131*q^2074+12303929603096*p^ 129*q^2076+2706115316608*p^127*q^2078+465701703490*p^125*q^2080+68030030854*p^ 123*q^2082+8363662790*p^121*q^2084+963920234*p^119*q^2086+67287628*p^117*q^2088 +1590874*p^115*q^2090+7192*p^113*q^2092+726*p^111*q^2094+128*p^156*q^2048+78036 *p^152*q^2052+4316682*p^150*q^2054+34017624*p^148*q^2056+676971030*p^146*q^2058 +7660035680*p^144*q^2060+79989102680*p^142*q^2062+630376813710*p^140*q^2064+ 3894852029342*p^138*q^2066+18218940924828*p^136*q^2068+47340343315978*p^134*q^ 2070+50648085995238*p^132*q^2072+23705801465766*p^130*q^2074+6287143102604*p^ 128*q^2076+1214213140334*p^126*q^2078+192579913128*p^124*q^2080+25953950074*p^ 122*q^2082+3045211445*p^120*q^2084+314285250*p^118*q^2086+13395718*p^116*q^2088 +290056*p^114*q^2090+332*p^112*q^2092+368*p^155*q^2048+2172*p^153*q^2050+726944 *p^151*q^2052+11966158*p^149*q^2054+157774638*p^147*q^2056+2089457754*p^145*q^ 2058+24394304268*p^143*q^2060+221880647971*p^141*q^2062+1545269374370*p^139*q^ 2064+8566717035018*p^137*q^2066+31837386844722*p^135*q^2068+55406569952625*p^ 133*q^2070+38938290869500*p^131*q^2072+13450837711865*p^129*q^2074+ 2994208133106*p^127*q^2076+522264588258*p^125*q^2078+76877529884*p^123*q^2080+ 9557231354*p^121*q^2082+1112014592*p^119*q^2084+83950534*p^117*q^2086+1797816*p ^115*q^2088+19436*p^113*q^2090+92*p^156*q^2046+12*p^154*q^2048+27658*p^152*q^ 2050+3553748*p^150*q^2052+31046644*p^148*q^2054+601239621*p^146*q^2056+ 6770556476*p^144*q^2058+72088723313*p^142*q^2060+579006235326*p^140*q^2062+ 3613915699219*p^138*q^2064+17324132550086*p^136*q^2066+46691034009279*p^134*q^ 2068+52674493796780*p^132*q^2070+25450934144309*p^130*q^2072+6929829727228*p^ 128*q^2074+1350116622827*p^126*q^2076+216674195408*p^124*q^2078+29450260653*p^ 122*q^2080+3461725752*p^120*q^2082+366293164*p^118*q^2084+17869996*p^116*q^2086 +395608*p^114*q^2088+392*p^112*q^2090+102*p^110*q^2092+940*p^155*q^2046+192*p^ 153*q^2048+518323*p^151*q^2050+12948332*p^149*q^2052+129262889*p^147*q^2054+ 1909777656*p^145*q^2056+21860301993*p^143*q^2058+201702977220*p^141*q^2060+ 1430210874400*p^139*q^2062+8010757008274*p^137*q^2064+30800423673671*p^135*q^ 2066+55909705890220*p^133*q^2068+41273765595850*p^131*q^2070+14614244546840*p^ 129*q^2072+3321582917430*p^127*q^2074+583120677586*p^125*q^2076+86901317541*p^ 123*q^2078+10898446418*p^121*q^2080+1263356399*p^119*q^2082+106386660*p^117*q^ 2084+2805520*p^115*q^2086+49260*p^113*q^2088+8*p^111*q^2090+12*p^156*q^2044+ 1192*p^154*q^2046+26404*p^152*q^2048+3190562*p^150*q^2050+29805941*p^148*q^2052 +532122948*p^146*q^2054+6011469218*p^144*q^2056+65151076916*p^142*q^2058+ 529782147043*p^140*q^2060+3362934802948*p^138*q^2062+16370882593536*p^136*q^ 2064+46132672291438*p^134*q^2066+54356677952633*p^132*q^2068+27415682804346*p^ 130*q^2070+7602595329417*p^128*q^2072+1506524583670*p^126*q^2074+243317595534*p ^124*q^2076+33605104662*p^122*q^2078+3941532773*p^120*q^2080+438253976*p^118*q^ 2082+23911192*p^116*q^2084+393426*p^114*q^2086+1120*p^112*q^2088+1076*p^155*q^ 2044+362*p^153*q^2046+280966*p^151*q^2048+11802032*p^149*q^2050+109827780*p^147 *q^2052+1732274746*p^145*q^2054+19463663158*p^143*q^2056+183295950694*p^141*q^ 2058+1317061238254*p^139*q^2060+7506589344387*p^137*q^2062+29594265947896*p^135 *q^2064+56560821327174*p^133*q^2066+43465787887926*p^131*q^2068+15936944583223* p^129*q^2070+3668489459538*p^127*q^2072+653016278623*p^125*q^2074+97918040284*p ^123*q^2076+12411666630*p^121*q^2078+1434818578*p^119*q^2080+127169284*p^117*q^ 2082+3873614*p^115*q^2084+85376*p^113*q^2086+8*p^111*q^2088+6*p^109*q^2090+4080 *p^154*q^2044+7620*p^152*q^2046+2468484*p^150*q^2048+31535144*p^148*q^2050+ 451482151*p^146*q^2052+5379190908*p^144*q^2054+58717660943*p^142*q^2056+ 485909495946*p^140*q^2058+3116621632362*p^138*q^2060+15518762649916*p^136*q^ 2062+45263680400676*p^134*q^2064+56248582178680*p^132*q^2066+29339847914902*p^ 130*q^2068+8361744075922*p^128*q^2070+1672206907163*p^126*q^2072+273255843638*p ^124*q^2074+38049071480*p^122*q^2076+4497493214*p^120*q^2078+506321558*p^118*q^ 2080+31114076*p^116*q^2082+497028*p^114*q^2084+5432*p^112*q^2086+328*p^155*q^ 2042+2280*p^153*q^2044+203321*p^151*q^2046+11358714*p^149*q^2048+94692558*p^147 *q^2050+1581055766*p^145*q^2052+17363729654*p^143*q^2054+166188961714*p^141*q^ 2056+1216652873918*p^139*q^2058+7003334733416*p^137*q^2060+28510432632497*p^135 *q^2062+56769598829724*p^133*q^2064+45880174633098*p^131*q^2066+17275176811394* p^129*q^2068+4063423812541*p^127*q^2070+728680285008*p^125*q^2072+110575629810* p^123*q^2074+14172571432*p^121*q^2076+1627277310*p^119*q^2078+156059502*p^117*q ^2080+5900864*p^115*q^2082+107660*p^113*q^2084+16*p^111*q^2086+16*p^156*q^2040+ 7044*p^154*q^2042+4762*p^152*q^2044+1805386*p^150*q^2046+31699924*p^148*q^2048+ 387798516*p^146*q^2050+4830284810*p^144*q^2052+52932976150*p^142*q^2054+ 443937798734*p^140*q^2056+2895777785636*p^138*q^2058+14622275527003*p^136*q^ 2060+44504150874976*p^134*q^2062+57755123668187*p^132*q^2064+31499644730320*p^ 130*q^2066+9154393756330*p^128*q^2068+1862908631116*p^126*q^2070+306058164844*p ^124*q^2072+43223309000*p^122*q^2074+5118468684*p^120*q^2076+587042262*p^118*q^ 2078+39576098*p^116*q^2080+666872*p^114*q^2082+12240*p^112*q^2084+36*p^155*q^ 2040+11204*p^153*q^2042+113186*p^151*q^2044+9539964*p^149*q^2046+85871130*p^147 *q^2048+1403282795*p^145*q^2050+15411721238*p^143*q^2052+150823618169*p^141*q^ 2054+1118301097682*p^139*q^2056+6550134150140*p^137*q^2058+27274512404044*p^135 *q^2060+57134526178856*p^133*q^2062+48106244014706*p^131*q^2064+18786118482124* p^129*q^2066+4481091639872*p^127*q^2068+814880408553*p^125*q^2070+124402378802* p^123*q^2072+16162989447*p^121*q^2074+1845031012*p^119*q^2076+186865630*p^117*q ^2078+7842792*p^115*q^2080+96596*p^113*q^2082+352*p^111*q^2084+4136*p^154*q^ 2040+4820*p^152*q^2042+1228333*p^150*q^2044+32599110*p^148*q^2046+330960778*p^ 146*q^2048+4396496336*p^144*q^2050+47612134614*p^142*q^2052+406346691286*p^140* q^2054+2680032635558*p^138*q^2056+13820308695014*p^136*q^2058+43446146378157*p^ 134*q^2060+59479125939664*p^132*q^2062+33589913051394*p^130*q^2064+ 10050101394410*p^128*q^2066+2064959782172*p^126*q^2068+343314602906*p^124*q^ 2070+48822749869*p^122*q^2072+5844934572*p^120*q^2074+668459891*p^118*q^2076+ 49446856*p^116*q^2078+1159948*p^114*q^2080+26008*p^112*q^2082+268*p^155*q^2038+ 27156*p^153*q^2040+49752*p^151*q^2042+8052096*p^149*q^2044+80896145*p^147*q^ 2046+1237188590*p^145*q^2048+13726187332*p^143*q^2050+136549948684*p^141*q^2052 +1030961047502*p^139*q^2054+6100720250838*p^137*q^2056+26165359246393*p^135*q^ 2058+57038706727118*p^133*q^2060+50572223370434*p^131*q^2062+20308458194698*p^ 129*q^2064+4954296283873*p^127*q^2066+908093398494*p^125*q^2068+140187475897*p^ 123*q^2070+18431254520*p^121*q^2072+2093738383*p^119*q^2074+223282236*p^117*q^ 2076+10568184*p^115*q^2078+97696*p^113*q^2080+864*p^111*q^2082+1144*p^154*q^ 2038+20848*p^152*q^2040+907252*p^150*q^2042+30509434*p^148*q^2044+284570826*p^ 146*q^2046+3983985657*p^144*q^2048+42758241558*p^142*q^2050+370385949863*p^140* q^2052+2486481150050*p^138*q^2054+12987939597582*p^136*q^2056+42505332322548*p^ 134*q^2058+60763335367194*p^132*q^2060+35939642277108*p^130*q^2062+ 10976800130172*p^128*q^2064+2296884942664*p^126*q^2066+384028304647*p^124*q^ 2068+55294509124*p^122*q^2070+6655890710*p^120*q^2072+760570480*p^118*q^2074+ 61756406*p^116*q^2076+1758284*p^114*q^2078+26004*p^112*q^2080+8*p^110*q^2082+28 *p^155*q^2036+28828*p^153*q^2038+37996*p^151*q^2040+6060393*p^149*q^2042+ 81528080*p^147*q^2044+1084213584*p^145*q^2046+12257858814*p^143*q^2048+ 123846579441*p^141*q^2050+946572942988*p^139*q^2052+5695125511986*p^137*q^2054+ 24937693220100*p^135*q^2056+57092178144340*p^133*q^2058+52781591166374*p^131*q^ 2060+22029802143657*p^129*q^2062+5454254889370*p^127*q^2064+1014409571735*p^125 *q^2066+157444609406*p^123*q^2068+21008725785*p^121*q^2070+2386788510*p^119*q^ 2072+264373444*p^117*q^2074+13869448*p^115*q^2076+155668*p^113*q^2078+4168*p^ 111*q^2080+2056*p^154*q^2036+64332*p^152*q^2038+462366*p^150*q^2040+27627088*p^ 148*q^2042+245358210*p^146*q^2044+3587372060*p^144*q^2046+38268722285*p^142*q^ 2048+338015768986*p^140*q^2050+2296414464613*p^138*q^2052+12240052922456*p^136* q^2054+41299026343182*p^134*q^2056+62257970254798*p^132*q^2058+38192145860281*p ^130*q^2060+12027045305052*p^128*q^2062+2542051652256*p^126*q^2064+430379383470 *p^124*q^2066+62305699924*p^122*q^2068+7602689622*p^120*q^2070+854384976*p^118* q^2072+74585230*p^116*q^2074+2360126*p^114*q^2076+15832*p^112*q^2078+16*p^110*q ^2080+13700*p^153*q^2036+40648*p^151*q^2038+4828508*p^149*q^2040+81620013*p^147 *q^2042+944260724*p^145*q^2044+11040860050*p^143*q^2046+112003649240*p^141*q^ 2048+871712760134*p^139*q^2050+5297199215728*p^137*q^2052+23833801446193*p^135* q^2054+56711064194882*p^133*q^2056+55235819464673*p^131*q^2058+23739412191934*p ^129*q^2060+6020144757301*p^127*q^2062+1128448814416*p^125*q^2064+176872101035* p^123*q^2066+23867527690*p^121*q^2068+2709374026*p^119*q^2070+305314626*p^117*q ^2072+18161464*p^115*q^2074+339272*p^113*q^2076+6676*p^111*q^2078+880*p^154*q^ 2034+114570*p^152*q^2036+339040*p^150*q^2038+23847542*p^148*q^2040+222236134*p^ 146*q^2042+3218620506*p^144*q^2044+34252893036*p^142*q^2046+307674302804*p^140* q^2048+2126577880690*p^138*q^2050+11473462134554*p^136*q^2052+40199659534780*p^ 134*q^2054+63281817956323*p^132*q^2056+40707671342400*p^130*q^2058+ 13110046542076*p^128*q^2060+2824436287294*p^126*q^2062+481082347979*p^124*q^ 2064+70597806964*p^122*q^2066+8702818753*p^120*q^2068+978481468*p^118*q^2070+ 94875491*p^116*q^2072+3378322*p^114*q^2074+12190*p^112*q^2076+352*p^110*q^2078+ 11992*p^153*q^2034+105752*p^151*q^2036+3227536*p^149*q^2038+77913468*p^147*q^ 2040+812898079*p^145*q^2042+9920990998*p^143*q^2044+101281644988*p^141*q^2046+ 798229669974*p^139*q^2048+4937231061509*p^137*q^2050+22630961339876*p^135*q^ 2052+56468776711891*p^133*q^2054+57401442285068*p^131*q^2056+25680072218430*p^ 129*q^2058+6614646972560*p^127*q^2060+1258655140232*p^125*q^2062+198272751626*p ^123*q^2064+27035376454*p^121*q^2066+3074851262*p^119*q^2068+345882692*p^117*q^ 2070+21613766*p^115*q^2072+441642*p^113*q^2074+3652*p^111*q^2076+96*p^154*q^ 2032+90260*p^152*q^2034+202146*p^150*q^2036+19616196*p^148*q^2038+210929202*p^ 146*q^2040+2870233402*p^144*q^2042+30612049011*p^142*q^2044+280488323376*p^140* q^2046+1962078606138*p^138*q^2048+10788466462200*p^136*q^2050+38879258339877*p^ 134*q^2052+64495036124852*p^132*q^2054+43096377765875*p^130*q^2056+ 14328249984382*p^128*q^2058+3120652470991*p^126*q^2060+538540143536*p^124*q^ 2062+79304694093*p^122*q^2064+9965776018*p^120*q^2066+1101759078*p^118*q^2068+ 113621344*p^116*q^2070+4711462*p^114*q^2072+47588*p^112*q^2074+1192*p^110*q^ 2076+9528*p^153*q^2032+265692*p^151*q^2034+2273858*p^149*q^2036+74560588*p^147* q^2038+703194558*p^145*q^2040+8988309920*p^143*q^2042+91446861702*p^141*q^2044+ 733574671531*p^139*q^2046+4582739932538*p^137*q^2048+21552905893457*p^135*q^ 2050+55791529428428*p^133*q^2052+59790292096543*p^131*q^2054+27597892916750*p^ 129*q^2056+7289914568901*p^127*q^2058+1398807662724*p^125*q^2060+222688858864*p ^123*q^2062+30687093864*p^121*q^2064+3513952775*p^119*q^2066+396272162*p^117*q^ 2068+29104272*p^115*q^2070+710012*p^113*q^2072+580*p^111*q^2074+8*p^109*q^2076+ 52*p^154*q^2030+67092*p^152*q^2032+226426*p^150*q^2034+15849692*p^148*q^2036+ 199734848*p^146*q^2038+2539220310*p^144*q^2040+27402186754*p^142*q^2042+ 254669085952*p^140*q^2044+1814003501038*p^138*q^2046+10089138827307*p^136*q^ 2048+37679282340438*p^134*q^2050+65216763193713*p^132*q^2052+45760798016510*p^ 130*q^2054+15583031812872*p^128*q^2056+3460963967772*p^126*q^2058+600988503130* p^124*q^2060+89472304798*p^122*q^2062+11363942593*p^120*q^2064+1245935880*p^118 *q^2066+133587077*p^116*q^2068+5620804*p^114*q^2070+69076*p^112*q^2072+864*p^ 110*q^2074+2628*p^153*q^2030+348902*p^151*q^2032+1471550*p^149*q^2034+65483724* p^147*q^2036+622177326*p^145*q^2038+8072235030*p^143*q^2040+82443031764*p^141*q ^2042+670980209018*p^139*q^2044+4264448424523*p^137*q^2046+20395649749644*p^135 *q^2048+55269570864687*p^133*q^2050+61833361489868*p^131*q^2052+29757161037731* p^129*q^2054+7995446889134*p^127*q^2056+1558211922142*p^125*q^2058+249277444868 *p^123*q^2060+34752772692*p^121*q^2062+4010536944*p^119*q^2064+451466185*p^117* q^2066+37234236*p^115*q^2068+1047910*p^113*q^2070+3680*p^111*q^2072+136*p^109*q ^2074+4*p^154*q^2028+59756*p^152*q^2030+411434*p^150*q^2032+11835188*p^148*q^ 2034+196852363*p^146*q^2036+2221170126*p^144*q^2038+24627721372*p^142*q^2040+ 231872867838*p^140*q^2042+1670475462784*p^138*q^2044+9465540442898*p^136*q^2046 +36269858321863*p^134*q^2048+66135127227238*p^132*q^2050+48251121625647*p^130*q ^2052+16994801476492*p^128*q^2054+3819674438866*p^126*q^2056+672037580602*p^124 *q^2058+100466644906*p^122*q^2060+12957347734*p^120*q^2062+1413731126*p^118*q^ 2064+153973762*p^116*q^2066+7407733*p^114*q^2068+125630*p^112*q^2070+24*p^110*q ^2072+1452*p^153*q^2028+308936*p^151*q^2030+1084932*p^149*q^2032+58081924*p^147 *q^2034+554416040*p^145*q^2036+7299310351*p^143*q^2038+74075701548*p^141*q^2040 +615092601291*p^139*q^2042+3952736026786*p^137*q^2044+19358491982265*p^135*q^ 2046+54328636540580*p^133*q^2048+64114379032628*p^131*q^2050+31878018958234*p^ 129*q^2052+8794625168644*p^127*q^2054+1728590561588*p^125*q^2056+279693408260*p ^123*q^2058+39215626820*p^121*q^2060+4603320005*p^119*q^2062+504128188*p^117*q^ 2064+46324542*p^115*q^2066+1352654*p^113*q^2068+8582*p^111*q^2070+128*p^109*q^ 2072+4*p^154*q^2026+30276*p^152*q^2028+802204*p^150*q^2030+8774954*p^148*q^2032 +184886534*p^146*q^2034+1950793986*p^144*q^2036+22133883406*p^142*q^2038+ 210420391863*p^140*q^2040+1542456009964*p^138*q^2042+8835295523205*p^136*q^2044 +34996825499916*p^134*q^2046+66515970809911*p^132*q^2048+51035420641408*p^130*q ^2050+18434263341357*p^128*q^2052+4229225243706*p^126*q^2054+749329012332*p^124 *q^2056+113057530800*p^122*q^2058+14777105626*p^120*q^2060+1602340678*p^118*q^ 2062+180611889*p^116*q^2064+10396560*p^114*q^2066+204360*p^112*q^2068+96*p^110* q^2070+8*p^108*q^2072+184*p^153*q^2026+282980*p^151*q^2028+950417*p^149*q^2030+ 48080052*p^147*q^2032+514543137*p^145*q^2034+6505201922*p^143*q^2036+ 66647161704*p^141*q^2038+561324480394*p^139*q^2040+3670971331694*p^137*q^2042+ 18262604849752*p^135*q^2044+53537415194315*p^133*q^2046+65978241270518*p^131*q^ 2048+34272017111675*p^129*q^2050+9627845133122*p^127*q^2052+1923683082772*p^125 *q^2054+312821913354*p^123*q^2056+44381774420*p^121*q^2058+5262338224*p^119*q^ 2060+574516546*p^117*q^2062+55577106*p^115*q^2064+1605160*p^113*q^2066+16094*p^ 111*q^2068+18548*p^152*q^2026+982006*p^150*q^2028+6097480*p^148*q^2030+ 172623469*p^146*q^2032+1703780010*p^144*q^2034+19945522544*p^142*q^2036+ 191051103512*p^140*q^2038+1418283434083*p^138*q^2040+8270711433320*p^136*q^2042 +33554628935760*p^134*q^2044+67096009677942*p^132*q^2046+53591855851251*p^130*q ^2048+20057545881034*p^128*q^2050+4659765068706*p^126*q^2052+836487746750*p^124 *q^2054+126694242093*p^122*q^2056+16744951826*p^120*q^2058+1820817761*p^118*q^ 2060+201714752*p^116*q^2062+13499782*p^114*q^2064+280316*p^112*q^2066+708*p^110 *q^2068+8*p^108*q^2070+164*p^153*q^2024+197432*p^151*q^2026+1316168*p^149*q^ 2028+39516436*p^147*q^2030+483068260*p^145*q^2032+5811480767*p^143*q^2034+ 59887047786*p^141*q^2036+513953603504*p^139*q^2038+3396860676310*p^137*q^2040+ 17281918774859*p^135*q^2042+52369898351778*p^133*q^2044+68073822295116*p^131*q^ 2046+36585414570898*p^129*q^2048+10572148935005*p^127*q^2050+2130676910028*p^ 125*q^2052+350753423009*p^123*q^2054+49971194352*p^121*q^2056+6061526452*p^119* q^2058+643987650*p^117*q^2060+67257438*p^115*q^2062+2454806*p^113*q^2064+38438* p^111*q^2066+5568*p^152*q^2024+1044878*p^150*q^2026+4843318*p^148*q^2028+ 155913966*p^146*q^2030+1506865387*p^144*q^2032+18012790708*p^142*q^2034+ 172924340950*p^140*q^2036+1306951683296*p^138*q^2038+7706103914115*p^136*q^2040 +32232719196518*p^134*q^2042+67142383078848*p^132*q^2044+56441670608240*p^130*q ^2046+21703090822031*p^128*q^2048+5152460487926*p^126*q^2050+931615299554*p^124 *q^2052+142449995128*p^122*q^2054+19039675778*p^120*q^2056+2076008836*p^118*q^ 2058+232287923*p^116*q^2060+17717312*p^114*q^2062+330822*p^112*q^2064+1132*p^ 110*q^2066+68*p^153*q^2022+142480*p^151*q^2024+2068570*p^149*q^2026+29619264*p^ 147*q^2028+455245912*p^145*q^2030+5132278652*p^143*q^2032+53815453678*p^141*q^ 2034+468251817932*p^139*q^2036+3150410858938*p^137*q^2038+16253656210518*p^135* q^2040+51348849743817*p^133*q^2042+69719596020436*p^131*q^2044+39200255564634*p ^129*q^2046+11549159514942*p^127*q^2048+2368012008952*p^125*q^2050+391753233030 *p^123*q^2052+56356272540*p^121*q^2054+6905949830*p^119*q^2056+731436886*p^117* q^2058+77154950*p^115*q^2060+3204152*p^113*q^2062+45460*p^111*q^2064+24*p^109*q ^2066+2304*p^152*q^2022+881802*p^150*q^2024+3515992*p^148*q^2026+137878464*p^ 146*q^2028+1345043936*p^144*q^2030+16193666117*p^142*q^2032+156636473578*p^140* q^2034+1199546258162*p^138*q^2036+7199695715058*p^136*q^2038+30784395008020*p^ 134*q^2040+67364327191838*p^132*q^2042+59024544572303*p^130*q^2044+ 23550656279924*p^128*q^2046+5667812852902*p^126*q^2048+1038802426718*p^124*q^ 2050+159521238524*p^122*q^2052+21531357610*p^120*q^2054+2382667756*p^118*q^2056 +258247036*p^116*q^2058+22291314*p^114*q^2060+483370*p^112*q^2062+6120*p^110*q^ 2064+4*p^153*q^2020+73648*p^151*q^2022+2770676*p^149*q^2024+23900776*p^147*q^ 2026+430164196*p^145*q^2028+4560170386*p^143*q^2030+48506093994*p^141*q^2032+ 428019069117*p^139*q^2034+2911029959500*p^137*q^2036+15340591957839*p^135*q^ 2038+49976577993626*p^133*q^2040+71567563093364*p^131*q^2042+41710512318068*p^ 129*q^2044+12655937706561*p^127*q^2046+2619367214452*p^125*q^2048+438869428702* p^123*q^2050+63298862620*p^121*q^2052+7929611303*p^119*q^2054+820478200*p^117*q ^2056+90788918*p^115*q^2058+4706374*p^113*q^2060+66282*p^111*q^2062+28*p^109*q^ 2064+2*p^156*q^2016+1972*p^152*q^2020+728776*p^150*q^2022+3933500*p^148*q^2024+ 115653070*p^146*q^2026+1221355182*p^144*q^2028+14542264908*p^142*q^2030+ 141308461120*p^140*q^2032+1103377700118*p^138*q^2034+6692968015636*p^136*q^2036 +29459090737496*p^134*q^2038+67056566762025*p^132*q^2040+61894679110648*p^130*q ^2042+25416463630593*p^128*q^2044+6257820189074*p^126*q^2046+1155297014105*p^ 124*q^2048+179222890420*p^122*q^2050+24402167825*p^120*q^2052+2734350054*p^118* q^2054+294281156*p^116*q^2056+27117628*p^114*q^2058+638832*p^112*q^2060+6892*p^ 110*q^2062+27120*p^151*q^2020+2885816*p^149*q^2022+17460048*p^147*q^2024+ 396638102*p^145*q^2026+4009879786*p^143*q^2028+43721625677*p^141*q^2030+ 389454258608*p^139*q^2032+2695145597082*p^137*q^2034+14393710364964*p^135*q^ 2036+48774484521780*p^133*q^2038+72922245660924*p^131*q^2040+44527896348977*p^ 129*q^2042+13799297832416*p^127*q^2044+2906133531947*p^125*q^2046+489468622276* p^123*q^2048+71211464846*p^121*q^2050+8997176310*p^119*q^2052+929063385*p^117*q ^2054+102233930*p^115*q^2056+6234304*p^113*q^2058+81972*p^111*q^2060+560*p^109* q^2062+8*p^156*q^2014+344*p^152*q^2018+534656*p^150*q^2020+5407580*p^148*q^2022 +95907527*p^146*q^2024+1132703372*p^144*q^2026+13029233717*p^142*q^2028+ 127775752506*p^140*q^2030+1010837239169*p^138*q^2032+6243003995708*p^136*q^2034 +28018447642425*p^134*q^2036+66933289793834*p^132*q^2038+64431483263422*p^130*q ^2040+27506697985056*p^128*q^2042+6873421434309*p^126*q^2044+1287002572072*p^ 124*q^2046+200676151044*p^122*q^2048+27570708486*p^120*q^2050+3156823900*p^118* q^2052+332823200*p^116*q^2054+32604594*p^114*q^2056+1006204*p^112*q^2058+10186* p^110*q^2060+30*p^155*q^2014+4*p^153*q^2016+24724*p^151*q^2018+2663934*p^149*q^ 2020+13358918*p^147*q^2022+363018476*p^145*q^2024+3549290393*p^143*q^2026+ 39382689614*p^141*q^2028+355026611791*p^139*q^2030+2486469262812*p^137*q^2032+ 13545759334139*p^135*q^2034+47253846820874*p^133*q^2036+74494593670889*p^131*q^ 2038+47206798100380*p^129*q^2040+15090636606276*p^127*q^2042+3210850579750*p^ 125*q^2044+547614418368*p^123*q^2046+79855872828*p^121*q^2048+10246512363*p^119 *q^2050+1051708846*p^117*q^2052+114507493*p^115*q^2054+8280190*p^113*q^2056+ 108930*p^111*q^2058+1292*p^109*q^2060+124*p^152*q^2016+257564*p^150*q^2018+ 6932996*p^148*q^2020+78302506*p^146*q^2022+1046203420*p^144*q^2024+11660555416* p^142*q^2026+115252801863*p^140*q^2028+928579039082*p^138*q^2030+5794538744975* p^136*q^2032+26720446959932*p^134*q^2034+66267990107095*p^132*q^2036+ 67268753960796*p^130*q^2038+29595878681005*p^128*q^2040+7574601819616*p^126*q^ 2042+1428986048578*p^124*q^2044+225158132370*p^122*q^2046+31083659944*p^120*q^ 2048+3637070218*p^118*q^2050+371356023*p^116*q^2052+39078800*p^114*q^2054+ 1447520*p^112*q^2056+13928*p^110*q^2058+16*p^108*q^2060+138*p^155*q^2012+4*p^ 153*q^2014+9000*p^151*q^2016+2456122*p^149*q^2018+12296160*p^147*q^2020+ 317537901*p^145*q^2022+3175489894*p^143*q^2024+35485823892*p^141*q^2026+ 322317947886*p^139*q^2028+2297900496101*p^137*q^2030+12679241793668*p^135*q^ 2032+45887654113829*p^133*q^2034+75511200364760*p^131*q^2036+50221131827785*p^ 129*q^2038+16417892809946*p^127*q^2040+3559136938442*p^125*q^2042+610498990886* p^123*q^2044+89872525141*p^121*q^2046+11655446530*p^119*q^2048+1206609866*p^117 *q^2050+133420396*p^115*q^2052+10384772*p^113*q^2054+171962*p^111*q^2056+828*p^ 109*q^2058+182*p^154*q^2012+112*p^152*q^2014+193864*p^150*q^2016+7280290*p^148* q^2018+60070886*p^146*q^2020+980224006*p^144*q^2022+10335373861*p^142*q^2024+ 104139940370*p^140*q^2026+849146056895*p^138*q^2028+5393944170174*p^136*q^2030+ 25329802666688*p^134*q^2032+65808842916276*p^132*q^2034+69701925723808*p^130*q^ 2036+31944961419520*p^128*q^2038+8305334384886*p^126*q^2040+1589333368024*p^124 *q^2042+251652437550*p^122*q^2044+34961706036*p^120*q^2046+4142591910*p^118*q^ 2048+414825416*p^116*q^2050+42720730*p^114*q^2052+2001156*p^112*q^2054+14878*p^ 110*q^2056+188*p^108*q^2058+6*p^155*q^2010+3028*p^151*q^2014+1620188*p^149*q^ 2016+14284263*p^147*q^2018+278885456*p^145*q^2020+2852451211*p^143*q^2022+ 32002879436*p^141*q^2024+293291608887*p^139*q^2026+2116781993528*p^137*q^2028+ 11905338372314*p^135*q^2030+44263877604828*p^133*q^2032+76729761819289*p^131*q^ 2034+53033252979360*p^129*q^2036+17915737453664*p^127*q^2038+3925834189410*p^ 125*q^2040+682102154722*p^123*q^2042+100782950668*p^121*q^2044+13233571414*p^ 119*q^2046+1400292066*p^117*q^2048+148649026*p^115*q^2050+13515032*p^113*q^2052 +295610*p^111*q^2054+2406*p^109*q^2056+1052*p^154*q^2010+112*p^152*q^2012+ 113744*p^150*q^2014+7778538*p^148*q^2016+47699246*p^146*q^2018+901484558*p^144* q^2020+9238277162*p^142*q^2022+93895792443*p^140*q^2024+778458250834*p^138*q^ 2026+4998426513590*p^136*q^2028+24066967056744*p^134*q^2030+64830101965120*p^ 132*q^2032+72429455997892*p^130*q^2034+34266170379744*p^128*q^2036+ 9141134069350*p^126*q^2038+1762758517864*p^124*q^2040+282317919050*p^122*q^2042 +39342994395*p^120*q^2044+4765865326*p^118*q^2046+462280383*p^116*q^2048+ 51422918*p^114*q^2050+2844546*p^112*q^2052+21916*p^110*q^2054+16*p^108*q^2056+ 16*p^155*q^2008+572*p^153*q^2010+1584*p^151*q^2012+1154242*p^149*q^2014+ 16033216*p^147*q^2016+231745468*p^145*q^2018+2596718040*p^143*q^2020+ 28698652976*p^141*q^2022+265705612456*p^139*q^2024+1953121252665*p^137*q^2026+ 11116989457600*p^135*q^2028+42790136640931*p^133*q^2030+77390185772234*p^131*q^ 2032+56199086352372*p^129*q^2034+19448106811870*p^127*q^2036+4344822278869*p^ 125*q^2038+759232147220*p^123*q^2040+113227888090*p^121*q^2042+14950934952*p^ 119*q^2044+1606862472*p^117*q^2046+168365516*p^115*q^2048+14998991*p^113*q^2050 +358552*p^111*q^2052+1486*p^109*q^2054+12*p^107*q^2056+324*p^154*q^2008+24*p^ 152*q^2010+46402*p^150*q^2012+6683238*p^148*q^2014+39873393*p^146*q^2016+ 824223422*p^144*q^2018+8181826515*p^142*q^2020+84943710964*p^140*q^2022+ 710795792106*p^138*q^2024+4645686833670*p^136*q^2026+22742568442000*p^134*q^ 2028+64045579479024*p^132*q^2030+74707004836144*p^130*q^2032+36870867487094*p^ 128*q^2034+10002173212426*p^126*q^2036+1959071330960*p^124*q^2038+315177958863* p^122*q^2040+44219922724*p^120*q^2042+5427483585*p^118*q^2044+527315394*p^116*q ^2046+56923870*p^114*q^2048+3974968*p^112*q^2050+56242*p^110*q^2052+306*p^108*q ^2054+4558*p^153*q^2008+1868*p^151*q^2010+845604*p^149*q^2012+18455018*p^147*q^ 2014+193037720*p^145*q^2016+2391641690*p^143*q^2018+25824428930*p^141*q^2020+ 241297523549*p^139*q^2022+1795948724606*p^137*q^2024+10415861303305*p^135*q^ 2026+41094291672990*p^133*q^2028+78220285241221*p^131*q^2030+59119374432936*p^ 129*q^2032+21172465998473*p^127*q^2034+4787536662082*p^125*q^2036+847224925522* p^123*q^2038+126927192752*p^121*q^2040+16917477724*p^119*q^2042+1864304606*p^ 117*q^2044+186234656*p^115*q^2046+18701834*p^113*q^2048+616498*p^111*q^2050+ 1656*p^109*q^2052+268*p^154*q^2006+994*p^152*q^2008+22928*p^150*q^2010+5267790* p^148*q^2012+38628398*p^146*q^2014+734751112*p^144*q^2016+7300581606*p^142*q^ 2018+76456409416*p^140*q^2020+650318115396*p^138*q^2022+4296876499895*p^136*q^ 2024+21543159760540*p^134*q^2026+62771370903996*p^132*q^2028+77261534627090*p^ 130*q^2030+39433613768267*p^128*q^2032+10989267910362*p^126*q^2034+ 2169212113496*p^124*q^2036+353221350622*p^122*q^2038+49706177206*p^120*q^2040+ 6200936954*p^118*q^2042+597895920*p^116*q^2044+65657174*p^114*q^2046+4725913*p^ 112*q^2048+51824*p^110*q^2050+100*p^108*q^2052+3840*p^153*q^2006+780*p^151*q^ 2008+461916*p^149*q^2010+19197412*p^147*q^2012+153476723*p^145*q^2014+ 2202065726*p^143*q^2016+23131357658*p^141*q^2018+218506145590*p^139*q^2020+ 1654472568397*p^137*q^2022+9706807582864*p^135*q^2024+39563755368354*p^133*q^ 2026+78478755982406*p^131*q^2028+62385772288454*p^129*q^2030+22928338769322*p^ 127*q^2032+5289987544927*p^125*q^2034+941816119510*p^123*q^2036+142443173541*p^ 121*q^2038+19015740962*p^119*q^2040+2141605620*p^117*q^2042+207210414*p^115*q^ 2044+21347954*p^113*q^2046+965492*p^111*q^2048+8710*p^109*q^2050+18*p^107*q^ 2052+30*p^154*q^2004+12000*p^152*q^2006+19028*p^150*q^2008+4278656*p^148*q^2010 +39830649*p^146*q^2012+646847450*p^144*q^2014+6542490734*p^142*q^2016+ 69111292836*p^140*q^2018+592526542109*p^138*q^2020+3986929201142*p^136*q^2022+ 20291526675497*p^134*q^2024+61706298864712*p^132*q^2026+79292672052432*p^130*q^ 2028+42298026224970*p^128*q^2030+12006871745942*p^126*q^2032+2408376442580*p^ 124*q^2034+394096107728*p^122*q^2036+55925761536*p^120*q^2038+7054726177*p^118* q^2040+696217816*p^116*q^2042+74457550*p^114*q^2044+5959180*p^112*q^2046+92720* p^110*q^2048+48*p^108*q^2050+2292*p^153*q^2004+1200*p^151*q^2006+260308*p^149*q ^2008+17584514*p^147*q^2010+129141318*p^145*q^2012+2027564526*p^143*q^2014+ 20668470176*p^141*q^2016+198094040642*p^139*q^2018+1518687397244*p^137*q^2020+ 9075030348949*p^135*q^2022+37837429921778*p^133*q^2024+78928040599864*p^131*q^ 2026+65355988856536*p^129*q^2028+24900791094684*p^127*q^2030+5819774121502*p^ 125*q^2032+1049454944067*p^123*q^2034+159447555634*p^121*q^2036+21410132819*p^ 119*q^2038+2460720994*p^117*q^2040+226635949*p^115*q^2042+23840262*p^113*q^2044 +1277698*p^111*q^2046+8716*p^109*q^2048+4*p^107*q^2050+21086*p^152*q^2004+11340 *p^150*q^2006+2978116*p^148*q^2008+43768020*p^146*q^2010+552190865*p^144*q^2012 +5917495538*p^142*q^2014+62274246547*p^140*q^2016+541286792344*p^138*q^2018+ 3683090107730*p^136*q^2020+19166050597340*p^134*q^2022+60180200173462*p^132*q^ 2024+81607568142572*p^130*q^2026+45078072668003*p^128*q^2028+13164706970616*p^ 126*q^2030+2663798111595*p^124*q^2032+441096403168*p^122*q^2034+62786709591*p^ 120*q^2036+8021221242*p^118*q^2038+806018734*p^116*q^2040+84761890*p^114*q^2042 +7761266*p^112*q^2044+188140*p^110*q^2046+796*p^108*q^2048+1120*p^153*q^2002+ 19274*p^151*q^2004+157648*p^149*q^2006+15924382*p^147*q^2008+111954535*p^145*q^ 2010+1848560028*p^143*q^2012+18449776613*p^141*q^2014+179080114320*p^139*q^2016 +1396303962057*p^137*q^2018+8439363399160*p^135*q^2020+36278516917893*p^133*q^ 2022+78758171151602*p^131*q^2024+68696629486174*p^129*q^2026+26897136578986*p^ 127*q^2028+6423577646802*p^125*q^2030+1165708171956*p^123*q^2032+178894774029*p ^121*q^2034+24104994640*p^119*q^2036+2825460612*p^117*q^2038+255806704*p^115*q^ 2040+27684158*p^113*q^2042+1548512*p^111*q^2044+8128*p^109*q^2046+4*p^154*q^ 2000+14532*p^152*q^2002+6216*p^150*q^2004+1987222*p^148*q^2006+44385874*p^146*q ^2008+463642300*p^144*q^2010+5380660858*p^142*q^2012+56188599476*p^140*q^2014+ 492362796351*p^138*q^2016+3410948311130*p^136*q^2018+18007782201617*p^134*q^ 2020+58864017953370*p^132*q^2022+83345477121597*p^130*q^2024+48196040952580*p^ 128*q^2026+14355059787568*p^126*q^2028+2952896017424*p^124*q^2030+491185064503* p^122*q^2032+70541230818*p^120*q^2034+9019687280*p^118*q^2036+933124572*p^116*q ^2038+92176276*p^114*q^2040+8382950*p^112*q^2042+283352*p^110*q^2044+1736*p^108 *q^2046+44*p^153*q^2000+64064*p^151*q^2002+109108*p^149*q^2004+13012302*p^147*q ^2006+105892112*p^145*q^2008+1670014450*p^143*q^2010+16480061424*p^141*q^2012+ 162289074195*p^139*q^2014+1279689393490*p^137*q^2016+7875338332101*p^135*q^2018 +34566503067858*p^133*q^2020+78795909346806*p^131*q^2022+71639570606728*p^129*q ^2024+29141702792538*p^127*q^2026+7054738480694*p^125*q^2028+1297658768637*p^ 123*q^2030+200255078582*p^121*q^2032+27121477809*p^119*q^2034+3249705198*p^117* q^2036+292882470*p^115*q^2038+32027436*p^113*q^2040+2417374*p^111*q^2042+27224* p^109*q^2044+24*p^107*q^2046+12352*p^152*q^2000+20116*p^150*q^2002+1204866*p^ 148*q^2004+45035772*p^146*q^2006+392595156*p^144*q^2008+4921991684*p^142*q^2010 +50537043489*p^140*q^2012+448887771166*p^138*q^2014+3145496446786*p^136*q^2016+ 16958495322052*p^134*q^2018+57145828429304*p^132*q^2020+85335152307792*p^130*q^ 2022+51187156380366*p^128*q^2024+15711715633156*p^126*q^2026+3262455707434*p^ 124*q^2028+549196168860*p^122*q^2030+79115621666*p^120*q^2032+10224942256*p^118 *q^2034+1079989825*p^116*q^2036+100160402*p^114*q^2038+9993849*p^112*q^2040+ 333044*p^110*q^2042+300*p^108*q^2044+112*p^153*q^1998+66068*p^151*q^2000+68832* p^149*q^2002+10304816*p^147*q^2004+103124952*p^145*q^2006+1467631404*p^143*q^ 2008+14775812259*p^141*q^2010+146475505962*p^139*q^2012+1174455497703*p^137*q^ 2014+7310616389432*p^135*q^2016+33011452407569*p^133*q^2018+78232705634314*p^ 131*q^2020+74972088692183*p^129*q^2022+31390190603268*p^127*q^2024+ 7776144381318*p^125*q^2026+1439214055254*p^123*q^2028+224379565930*p^121*q^2030 +30494317194*p^119*q^2032+3695926415*p^117*q^2034+336524252*p^115*q^2036+ 37370288*p^113*q^2038+2773966*p^111*q^2040+47750*p^109*q^2042+248*p^107*q^2044+ 2476*p^152*q^1998+114240*p^150*q^2000+806528*p^148*q^2002+41194900*p^146*q^2004 +332790562*p^144*q^2006+4514227731*p^142*q^2008+45373110340*p^140*q^2010+ 407918963263*p^138*q^2012+2908657871134*p^136*q^2014+15891377948653*p^134*q^ 2016+55630034112388*p^132*q^2018+86728956853423*p^130*q^2020+54529139604842*p^ 128*q^2022+17096068232408*p^126*q^2024+3612529434322*p^124*q^2026+610970208811* p^122*q^2028+88844690014*p^120*q^2030+11469522969*p^118*q^2032+1249339780*p^116 *q^2034+110085259*p^114*q^2036+10804248*p^112*q^2038+571968*p^110*q^2040+2448*p ^108*q^2042+8*p^153*q^1996+70828*p^151*q^1998+43716*p^149*q^2000+7284104*p^147* q^2002+106511070*p^145*q^2004+1291883809*p^143*q^2006+13279850652*p^141*q^2008+ 132914971159*p^139*q^2010+1074287539664*p^137*q^2012+6809884094798*p^135*q^2014 +31341632971498*p^133*q^2016+77846868447668*p^131*q^2018+77850619170952*p^129*q ^2020+33914338477303*p^127*q^2022+8527638825532*p^125*q^2024+1600713693688*p^ 123*q^2026+250836021534*p^121*q^2028+34326200757*p^119*q^2030+4219727104*p^117* q^2032+395314714*p^115*q^2034+41016108*p^113*q^2036+3567782*p^111*q^2038+65504* p^109*q^2040+1650*p^152*q^1996+194304*p^150*q^1998+565376*p^148*q^2000+37380866 *p^146*q^2002+291633372*p^144*q^2004+4099007180*p^142*q^2006+40710453962*p^140* q^2008+370738991956*p^138*q^2010+2677455830562*p^136*q^2012+14929482159664*p^ 134*q^2014+53748935327897*p^132*q^2016+88349518829224*p^130*q^2018+ 57709652450193*p^128*q^2020+18674034113742*p^126*q^2022+3985581284112*p^124*q^ 2024+682266542114*p^122*q^2026+99605489760*p^120*q^2028+12947025882*p^118*q^ 2030+1440223715*p^116*q^2032+120892432*p^114*q^2034+13334596*p^112*q^2036+ 765672*p^110*q^2038+5772*p^108*q^2040+16*p^106*q^2042+34684*p^151*q^1996+131674 *p^149*q^1998+4920078*p^147*q^2000+104557463*p^145*q^2002+1108711324*p^143*q^ 2004+12023887297*p^141*q^2006+119785613030*p^139*q^2008+984887102435*p^137*q^ 2010+6310440501984*p^135*q^2012+29831350826010*p^133*q^2014+76895836897436*p^ 131*q^2016+81088936329353*p^129*q^2018+36433525493112*p^127*q^2020+ 9382865319647*p^125*q^2022+1773057304736*p^123*q^2024+280774252974*p^121*q^2026 +38530037786*p^119*q^2028+4767703545*p^117*q^2030+456679708*p^115*q^2032+ 45120026*p^113*q^2034+3731688*p^111*q^2036+97748*p^109*q^2038+88*p^107*q^2040+ 510*p^152*q^1994+252238*p^150*q^1996+356308*p^148*q^1998+31536686*p^146*q^2000+ 269263116*p^144*q^2002+3715467393*p^142*q^2004+36533110436*p^140*q^2006+ 336632760532*p^138*q^2008+2471079011820*p^136*q^2010+13955248637600*p^134*q^ 2012+52089866698852*p^132*q^2014+89314474018441*p^130*q^2016+61250067028330*p^ 128*q^2018+20279854206742*p^126*q^2020+4408510730474*p^124*q^2022+758438346202* p^122*q^2024+111840931498*p^120*q^2026+14550150216*p^118*q^2028+1666339884*p^ 116*q^2030+139669666*p^114*q^2032+15562756*p^112*q^2034+1102069*p^110*q^2036+ 10808*p^108*q^2038+16202*p^151*q^1994+360988*p^149*q^1996+3559400*p^147*q^1998+ 101408664*p^145*q^2000+953474986*p^143*q^2002+10911544464*p^141*q^2004+ 108381149977*p^139*q^2006+899001982330*p^137*q^2008+5867551957680*p^135*q^2010+ 28221496016246*p^133*q^2012+76144514140153*p^131*q^2014+83814651992926*p^129*q^ 2016+39249825914467*p^127*q^2018+10274508485822*p^125*q^2020+1969637000073*p^ 123*q^2022+313318751350*p^121*q^2024+43318703605*p^119*q^2026+5384077502*p^117* q^2028+531139414*p^115*q^2030+47218340*p^113*q^2032+4220236*p^111*q^2034+160968 *p^109*q^2036+496*p^107*q^2038+44*p^152*q^1992+220212*p^150*q^1994+244740*p^148 *q^1996+23770994*p^146*q^1998+256976907*p^144*q^2000+3324295798*p^142*q^2002+ 32741337340*p^140*q^2004+305817337994*p^138*q^2006+2271555758648*p^136*q^2008+ 13080372071484*p^134*q^2010+50109818156219*p^132*q^2012+90526109117852*p^130*q^ 2014+64561908915327*p^128*q^2016+22099991868696*p^126*q^2018+4857309727780*p^ 124*q^2020+845710450008*p^122*q^2022+125318043507*p^120*q^2024+16408245704*p^ 118*q^2026+1911860377*p^116*q^2028+160458166*p^114*q^2030+18062285*p^112*q^2032 +1360012*p^110*q^2034+13924*p^108*q^2036+4*p^153*q^1990+9692*p^151*q^1992+ 588386*p^149*q^1994+2551050*p^147*q^1996+98093418*p^145*q^1998+822833886*p^143* q^2000+9934542189*p^141*q^2002+97636666406*p^139*q^2004+822611716935*p^137*q^ 2006+5427892798968*p^135*q^2008+26771290730143*p^133*q^2010+74812777210988*p^ 131*q^2012+86912182224993*p^129*q^2014+42034782301968*p^127*q^2016+ 11288587920506*p^125*q^2018+2180013870192*p^123*q^2020+350543818424*p^121*q^ 2022+48622914820*p^119*q^2024+6076821122*p^117*q^2026+618339822*p^115*q^2028+ 52361696*p^113*q^2030+5177644*p^111*q^2032+248668*p^109*q^2034+1052*p^107*q^ 2036+44*p^152*q^1990+120544*p^150*q^1992+508152*p^148*q^1994+17932998*p^146*q^ 1996+243358000*p^144*q^1998+2940710446*p^142*q^2000+29435691928*p^140*q^2002+ 276986047975*p^138*q^2004+2092122603430*p^136*q^2006+12200603585334*p^134*q^ 2008+48345087317922*p^132*q^2010+91049472463184*p^130*q^2012+68271026888210*p^ 128*q^2014+23946237469446*p^126*q^2016+5365681651830*p^124*q^2018+938953258037* p^122*q^2020+140489663464*p^120*q^2022+18416785025*p^118*q^2024+2172627728*p^ 116*q^2026+186403480*p^114*q^2028+19212602*p^112*q^2030+1339170*p^110*q^2032+ 24216*p^108*q^2034+24*p^106*q^2036+1590*p^151*q^1990+778144*p^149*q^1992+ 1555384*p^147*q^1994+85647586*p^145*q^1996+734758182*p^143*q^1998+9040272522*p^ 141*q^2000+88172835341*p^139*q^2002+750093317416*p^137*q^2004+5038990592336*p^ 135*q^2006+25253211979532*p^133*q^2008+73711575890410*p^131*q^2010+ 89390488394500*p^129*q^2012+45153881282809*p^127*q^2014+12336710734064*p^125*q^ 2016+2418466671043*p^123*q^2018+390724554418*p^121*q^2020+54652105973*p^119*q^ 2022+6832376942*p^117*q^2024+725350295*p^115*q^2026+56689622*p^113*q^2028+ 6250938*p^111*q^2030+432272*p^109*q^2032+2238*p^107*q^2034+72*p^152*q^1988+ 90152*p^150*q^1990+950118*p^148*q^1992+13787500*p^146*q^1994+243179570*p^144*q^ 1996+2573373802*p^142*q^1998+26534300261*p^140*q^2000+251508830872*p^138*q^2002 +1920100607913*p^136*q^2004+11408900831616*p^134*q^2006+46316087371031*p^132*q^ 2008+91786866907726*p^130*q^2010+71669527706952*p^128*q^2012+26041429082644*p^ 126*q^2014+5904673335116*p^124*q^2016+1046433085444*p^122*q^2018+157344807278*p ^120*q^2020+20777879350*p^118*q^2022+2486453563*p^116*q^2024+217493124*p^114*q^ 2026+21727682*p^112*q^2028+1682160*p^110*q^2030+35977*p^108*q^2032+32*p^106*q^ 2034+1276*p^151*q^1988+602762*p^149*q^1990+1268654*p^147*q^1992+71147614*p^145* q^1994+649819100*p^143*q^1996+8190067523*p^141*q^1998+79144141672*p^139*q^2000+ 684457378510*p^137*q^2002+4652152031442*p^135*q^2004+23876279120768*p^133*q^ 2006+72078579383954*p^131*q^2008+92250453629772*p^129*q^2010+48204341994766*p^ 127*q^2012+13533556335752*p^125*q^2014+2673388586936*p^123*q^2016+436428334543* p^121*q^2018+61266312122*p^119*q^2020+7690676964*p^117*q^2022+829314636*p^115*q ^2024+63622491*p^113*q^2026+7029244*p^111*q^2028+416148*p^109*q^2030+2308*p^107 *q^2032+8*p^152*q^1986+29128*p^150*q^1988+1679352*p^148*q^1990+9713910*p^146*q^ 1992+234522642*p^144*q^1994+2261167660*p^142*q^1996+23998434628*p^140*q^1998+ 227741073042*p^138*q^2000+1766901129388*p^136*q^2002+10622044508662*p^134*q^ 2004+44502139232418*p^132*q^2006+91853476535700*p^130*q^2008+75468888113588*p^ 128*q^2010+28144149033160*p^126*q^2012+6514115672878*p^124*q^2014+1160128055298 *p^122*q^2016+176186915284*p^120*q^2018+23305997079*p^118*q^2020+2798911680*p^ 116*q^2022+257912046*p^114*q^2024+22817432*p^112*q^2026+1900616*p^110*q^2028+ 101416*p^108*q^2030+312*p^106*q^2032+686*p^151*q^1986+509654*p^149*q^1988+ 1571974*p^147*q^1990+58061802*p^145*q^1992+605606191*p^143*q^1994+7375012516*p^ 141*q^1996+71408259767*p^139*q^1998+623133427756*p^137*q^2000+4309720533733*p^ 135*q^2002+22454989676594*p^133*q^2004+70646768003525*p^131*q^2006+ 94434933363720*p^129*q^2008+51613834890225*p^127*q^2010+14765771530934*p^125*q^ 2012+2964271648702*p^123*q^2014+486222000078*p^121*q^2016+68958652533*p^119*q^ 2018+8668933532*p^117*q^2020+970187331*p^115*q^2022+73411732*p^113*q^2024+ 8336612*p^111*q^2026+570968*p^109*q^2028+3036*p^107*q^2030+17916*p^150*q^1986+ 1892058*p^148*q^1988+6719524*p^146*q^1990+217685850*p^144*q^1992+1977642538*p^ 142*q^1994+21737756619*p^140*q^1996+206349342156*p^138*q^1998+1618090767476*p^ 136*q^2000+9915289300300*p^134*q^2002+42463436061402*p^132*q^2004+ 92123115864864*p^130*q^2006+78910604027147*p^128*q^2008+30530588424866*p^126*q^ 2010+7157373314242*p^124*q^2012+1290938615460*p^122*q^2014+196910260247*p^120*q ^2016+26198843864*p^118*q^2018+3156338459*p^116*q^2020+298582336*p^114*q^2022+ 23318090*p^112*q^2024+2210736*p^110*q^2026+109980*p^108*q^2028+108*p^106*q^2030 +464*p^151*q^1984+281616*p^149*q^1986+2543996*p^147*q^1988+45956040*p^145*q^ 1990+571334260*p^143*q^1992+6579671262*p^141*q^1994+64125563586*p^139*q^1996+ 568063158216*p^137*q^1998+3973649425500*p^135*q^2000+21171933546558*p^133*q^ 2002+68748144584838*p^131*q^2004+96953326940513*p^129*q^2006+54919853750720*p^ 127*q^2008+16167221689628*p^125*q^2010+3272279286642*p^123*q^2012+542742685957* p^121*q^2014+77276730512*p^119*q^2016+9777319904*p^117*q^2018+1109026530*p^115* q^2020+86613336*p^113*q^2022+9821094*p^111*q^2024+614862*p^109*q^2026+15440*p^ 107*q^2028+20*p^105*q^2030+8086*p^150*q^1984+1889376*p^148*q^1986+5483514*p^146 *q^1988+192767394*p^144*q^1990+1741378418*p^142*q^1992+19764970976*p^140*q^1994 +186519039428*p^138*q^1996+1485864159018*p^136*q^1998+9209639815919*p^134*q^ 2000+40645050418212*p^132*q^2002+91698932970336*p^130*q^2004+82744848956028*p^ 128*q^2006+32923166442073*p^126*q^2008+7885823191712*p^124*q^2010+1430691700114 *p^122*q^2012+220385140504*p^120*q^2014+29414444752*p^118*q^2016+3548369654*p^ 116*q^2018+350906484*p^114*q^2020+25436996*p^112*q^2022+2536368*p^110*q^2024+ 162132*p^108*q^2026+128*p^106*q^2028+4*p^155*q^1978+36*p^151*q^1982+156696*p^ 149*q^1984+3865308*p^147*q^1986+34200508*p^145*q^1988+552477150*p^143*q^1990+ 5864671050*p^141*q^1992+57846534338*p^139*q^1994+516304965364*p^137*q^1996+ 3675403370886*p^135*q^1998+19857696324148*p^133*q^2000+67074940682917*p^131*q^ 2002+98756962361460*p^129*q^2004+58600778282188*p^127*q^2006+17605156821612*p^ 125*q^2008+3623776903058*p^123*q^2010+603311174288*p^121*q^2012+86769087532*p^ 119*q^2014+10982827124*p^117*q^2016+1267782690*p^115*q^2018+101835414*p^113*q^ 2020+9861966*p^111*q^2022+654580*p^109*q^2024+23736*p^107*q^2026+6140*p^150*q^ 1982+1533388*p^148*q^1984+4947962*p^146*q^1986+166932326*p^144*q^1988+ 1549901940*p^142*q^1990+17867149442*p^140*q^1992+168841569584*p^138*q^1994+ 1359026739986*p^136*q^1996+8579152016426*p^134*q^1998+38634285637151*p^132*q^ 2000+91502034848256*p^130*q^2002+86126926161752*p^128*q^2004+35620140999250*p^ 126*q^2006+8654074712632*p^124*q^2008+1590337493312*p^122*q^2010+246248705684*p ^120*q^2012+33134149548*p^118*q^2014+4007207596*p^116*q^2016+411575938*p^114*q^ 2018+27979242*p^112*q^2020+3566404*p^110*q^2022+223088*p^108*q^2024+1272*p^106* q^2026+40*p^151*q^1980+92304*p^149*q^1982+4657786*p^147*q^1984+26482048*p^145*q ^1986+521688464*p^143*q^1988+5191389808*p^141*q^1990+52194498050*p^139*q^1992+ 469943016519*p^137*q^1994+3382739237586*p^135*q^1996+18675169439661*p^133*q^ 1998+64956306846354*p^131*q^2000+100902815466041*p^129*q^2002+62132254045130*p^ 127*q^2004+19240009358850*p^125*q^2006+3996240120030*p^123*q^2008+672795981114* p^121*q^2010+97132429346*p^119*q^2012+12357239682*p^117*q^2014+1430742298*p^115 *q^2016+119530130*p^113*q^2018+10414284*p^111*q^2020+656598*p^109*q^2022+29756* p^107*q^2024+64*p^154*q^1976+4*p^152*q^1978+1620*p^150*q^1980+971468*p^148*q^ 1982+6549384*p^146*q^1984+137233422*p^144*q^1986+1409867454*p^142*q^1988+ 16137739460*p^140*q^1990+152141025393*p^138*q^1992+1245416125408*p^136*q^1994+ 7955108503361*p^134*q^1996+36836512527338*p^132*q^1998+90607395104616*p^130*q^ 2000+89932242052772*p^128*q^2002+38304894230765*p^126*q^2004+9521198690032*p^ 124*q^2006+1760698885317*p^122*q^2008+275233476758*p^120*q^2010+37183831777*p^ 118*q^2012+4509940720*p^116*q^2014+478447748*p^114*q^2016+32894364*p^112*q^2018 +3950451*p^110*q^2020+212260*p^108*q^2022+4104*p^106*q^2024+50608*p^149*q^1980+ 5082262*p^147*q^1982+20039900*p^145*q^1984+483584628*p^143*q^1986+4591931938*p^ 141*q^1988+47279245036*p^139*q^1990+426886055006*p^137*q^1992+3123714587363*p^ 135*q^1994+17474841101386*p^133*q^1996+63085171030625*p^131*q^1998+ 102251385781376*p^129*q^2000+66071942896682*p^127*q^2002+20907634430160*p^125*q ^2004+4419729478739*p^123*q^2006+747218660314*p^121*q^2008+108981269576*p^119*q ^2010+13861523604*p^117*q^2012+1613830818*p^115*q^2014+142036822*p^113*q^2016+ 10021293*p^111*q^2018+950912*p^109*q^2020+67640*p^107*q^2022+40*p^105*q^2024+12 *p^154*q^1974+1128*p^150*q^1978+701508*p^148*q^1980+8449598*p^146*q^1982+ 111750143*p^144*q^1984+1321140624*p^142*q^1986+14532234125*p^140*q^1988+ 137572922630*p^138*q^1990+1136974769266*p^136*q^1992+7396022365836*p^134*q^1994 +34897714255017*p^132*q^1996+89933314137144*p^130*q^1998+93173252223894*p^128*q ^2000+41338739538338*p^126*q^2002+10431437335690*p^124*q^2004+1955876554038*p^ 122*q^2006+307205445227*p^120*q^2008+41872196424*p^118*q^2010+5106377365*p^116* q^2012+557939316*p^114*q^2014+38628894*p^112*q^2016+4639968*p^110*q^2018+201596 *p^108*q^2020+2788*p^106*q^2022+420*p^153*q^1974+72*p^151*q^1976+29162*p^149*q^ 1978+4117918*p^147*q^1980+17165464*p^145*q^1982+433539526*p^143*q^1984+ 4033539786*p^141*q^1986+42694483216*p^139*q^1988+387815626690*p^137*q^1990+ 2870178336336*p^135*q^1992+16389407309169*p^133*q^1994+60826737018658*p^131*q^ 1996+103933193938409*p^129*q^1998+69796854184004*p^127*q^2000+22807113329049*p^ 125*q^2002+4868385359074*p^123*q^2004+832270938019*p^121*q^2006+121854539590*p^ 119*q^2008+15603704865*p^117*q^2010+1808148720*p^115*q^2012+165229094*p^113*q^ 2014+10624490*p^111*q^2016+1223284*p^109*q^2018+71644*p^107*q^2020+468*p^105*q^ 2022+128*p^150*q^1976+369080*p^148*q^1978+11010460*p^146*q^1980+88488292*p^144* q^1982+1230920507*p^142*q^1984+13057991594*p^140*q^1986+124045994222*p^138*q^ 1988+1040569324232*p^136*q^1990+6845606374384*p^134*q^1992+33159938050518*p^132 *q^1994+88620341941757*p^130*q^1996+96840494956772*p^128*q^1998+44318265968745* p^126*q^2000+11460947904292*p^124*q^2002+2162518577647*p^122*q^2004+ 342845870968*p^120*q^2006+46950770067*p^118*q^2008+5718785946*p^116*q^2010+ 634242418*p^114*q^2012+46565490*p^112*q^2014+4480722*p^110*q^2016+190088*p^108* q^2018+13536*p^106*q^2020+308*p^153*q^1972+8*p^151*q^1974+14930*p^149*q^1976+ 3459936*p^147*q^1978+17194014*p^145*q^1980+380015181*p^143*q^1982+3619663298*p^ 141*q^1984+38706279400*p^139*q^1986+351687273218*p^137*q^1988+2645589991795*p^ 135*q^1990+15300721577558*p^133*q^1992+58798791058683*p^131*q^1994+ 104799691017182*p^129*q^1996+73935559333446*p^127*q^1998+24735286683304*p^125*q ^2000+5379450003188*p^123*q^2002+923843848452*p^121*q^2004+136777752792*p^119*q ^2006+17549044550*p^117*q^2008+2059807054*p^115*q^2010+199851878*p^113*q^2012+ 11893312*p^111*q^2014+1697158*p^109*q^2016+79776*p^107*q^2018+84*p^105*q^2020+ 1456*p^152*q^1972+612*p^150*q^1974+269088*p^148*q^1976+11579694*p^146*q^1978+ 69892320*p^144*q^1980+1156295836*p^142*q^1982+11620044966*p^140*q^1984+ 112207775444*p^138*q^1986+948185761691*p^136*q^1988+6353705612034*p^134*q^1990+ 31309019394343*p^132*q^1992+87509233103186*p^130*q^1994+99885318287785*p^128*q^ 1996+47690530896284*p^126*q^1998+12534035923739*p^124*q^2000+2399767663690*p^ 122*q^2002+381923426013*p^120*q^2004+52725966486*p^118*q^2006+6432102122*p^116* q^2008+715049314*p^114*q^2010+53560774*p^112*q^2012+4187628*p^110*q^2014+275489 *p^108*q^2016+19352*p^106*q^2018+24*p^104*q^2020+12*p^153*q^1970+5478*p^149*q^ 1974+2246168*p^147*q^1976+19724012*p^145*q^1978+322870018*p^143*q^1980+ 3250363862*p^141*q^1982+34992016868*p^139*q^1984+318952419883*p^137*q^1986+ 2427258543140*p^135*q^1988+14319505489640*p^133*q^1990+56449371740090*p^131*q^ 1992+105965142303682*p^129*q^1994+77808078073466*p^127*q^1996+26919863854623*p^ 125*q^1998+5918073570562*p^123*q^2000+1028231863804*p^121*q^2002+152816136352*p ^119*q^2004+19784238956*p^117*q^2006+2315699748*p^115*q^2008+233856204*p^113*q^ 2010+14224180*p^111*q^2012+1987816*p^109*q^2014+47100*p^107*q^2016+1496*p^105*q ^2018+2720*p^152*q^1970+424*p^150*q^1972+146040*p^148*q^1974+11398800*p^146*q^ 1976+57839474*p^144*q^1978+1064453546*p^142*q^1980+10378254910*p^140*q^1982+ 101272632740*p^138*q^1984+866712944472*p^136*q^1986+5869570340173*p^134*q^1988+ 29657430370886*p^132*q^1990+85791699640140*p^130*q^1992+103315675929966*p^128*q ^1994+50988419589966*p^126*q^1996+13750187346942*p^124*q^1998+2650906572165*p^ 122*q^2000+426006613088*p^120*q^2002+59106047134*p^118*q^2004+7218762534*p^116* q^2006+808709946*p^114*q^2008+65512850*p^112*q^2010+4075024*p^110*q^2012+426328 *p^108*q^2014+28110*p^106*q^2016+4*p^153*q^1968+2860*p^151*q^1970+3650*p^149*q^ 1972+1634332*p^147*q^1974+23591966*p^145*q^1976+267958910*p^143*q^1978+ 2980173376*p^141*q^1980+31599771954*p^139*q^1982+288809062738*p^137*q^1984+ 2232594979540*p^135*q^1986+13337192274396*p^133*q^1988+54345941854275*p^131*q^ 1990+106288946804280*p^129*q^1992+82103093018864*p^127*q^1994+29131601816076*p^ 125*q^1996+6530756782986*p^123*q^1998+1140166871666*p^121*q^2000+171150867189*p ^119*q^2002+22225992120*p^117*q^2004+2611360835*p^115*q^2006+270992368*p^113*q^ 2008+16558460*p^111*q^2010+1899612*p^109*q^2012+44722*p^107*q^2014+3636*p^105*q ^2016+640*p^152*q^1968+28*p^150*q^1970+80634*p^148*q^1972+9583522*p^146*q^1974+ 49618018*p^144*q^1976+968288518*p^142*q^1978+9212790863*p^140*q^1980+ 91762440986*p^138*q^1982+788649085812*p^136*q^1984+5438930406564*p^134*q^1986+ 27916432556417*p^132*q^1988+84310294130078*p^130*q^1990+106047842141313*p^128*q ^1992+54688689959046*p^126*q^1994+15015490770934*p^124*q^1996+2938269087624*p^ 122*q^1998+473971656749*p^120*q^2000+66425124574*p^118*q^2002+8122814009*p^116* q^2004+917934086*p^114*q^2006+78418710*p^112*q^2008+4136744*p^110*q^2010+692668 *p^108*q^2012+22296*p^106*q^2014+62*p^104*q^2016+11648*p^151*q^1968+5700*p^149* q^1970+1086990*p^147*q^1972+26214260*p^145*q^1974+224052420*p^143*q^1976+ 2748194785*p^141*q^1978+28474686438*p^139*q^1980+261755929743*p^137*q^1982+ 2045258871010*p^135*q^1984+12454568179550*p^133*q^1986+51951394791770*p^131*q^ 1988+106928892693522*p^129*q^1990+86037237400746*p^127*q^1992+31636567681193*p^ 125*q^1994+7176227980070*p^123*q^1996+1268109139405*p^121*q^1998+191074149002*p ^119*q^2000+25017524731*p^117*q^2002+2937924782*p^115*q^2004+309504556*p^113*q^ 2006+20220254*p^111*q^2008+1927047*p^109*q^2010+66478*p^107*q^2012+6432*p^105*q ^2014+184*p^152*q^1966+3212*p^150*q^1968+32724*p^148*q^1970+7339708*p^146*q^ 1972+49911668*p^144*q^1974+849317294*p^142*q^1976+8211929660*p^140*q^1978+ 82878329871*p^138*q^1980+719242393230*p^136*q^1982+5015375748827*p^134*q^1984+ 26361450406798*p^132*q^1986+82243658594744*p^130*q^1988+109188969593864*p^128*q ^1990+58285530059365*p^126*q^1992+16444213565238*p^124*q^1994+3242807981227*p^ 122*q^1996+528190126046*p^120*q^1998+74352912594*p^118*q^2000+9142119926*p^116* q^2002+1028905440*p^114*q^2004+93018204*p^112*q^2006+4686760*p^110*q^2008+ 712352*p^108*q^2010+6419*p^106*q^2012+452*p^104*q^2014+7872*p^151*q^1966+1160*p ^149*q^1968+674036*p^147*q^1970+27417850*p^145*q^1972+180425632*p^143*q^1974+ 2552217982*p^141*q^1976+25638807109*p^139*q^1978+236785049054*p^137*q^1980+ 1878637623678*p^135*q^1982+11579401170284*p^133*q^1984+49815729012443*p^131*q^ 1986+106698374029768*p^129*q^1988+90426550621201*p^127*q^1990+34146702485590*p^ 125*q^1992+7907575293633*p^123*q^1994+1404756751706*p^121*q^1996+213570555969*p ^119*q^1998+28086345366*p^117*q^2000+3291195168*p^115*q^2002+355423380*p^113*q^ 2004+24926752*p^111*q^2006+1496438*p^109*q^2008+172840*p^107*q^2010+10012*p^105 *q^2012+16*p^152*q^1964+26976*p^150*q^1966+43446*p^148*q^1968+5816416*p^146*q^ 1970+52433380*p^144*q^1972+751166942*p^142*q^1974+7373749194*p^140*q^1976+ 75071328514*p^138*q^1978+653923431604*p^136*q^1980+4638724389040*p^134*q^1982+ 24745476682901*p^132*q^1984+80418506138368*p^130*q^1986+111503951547331*p^128*q ^1988+62329088058804*p^126*q^1990+17925313304345*p^124*q^1992+3592105287406*p^ 122*q^1994+587455367167*p^120*q^1996+83616919554*p^118*q^1998+10317060484*p^116 *q^2000+1175439318*p^114*q^2002+110244418*p^112*q^2004+5695140*p^110*q^2006+ 919002*p^108*q^2008+5912*p^106*q^2010+748*p^104*q^2012+2768*p^151*q^1964+3024*p ^149*q^1966+358038*p^147*q^1968+24327860*p^145*q^1970+153252144*p^143*q^1972+ 2327149813*p^141*q^1974+22918776528*p^139*q^1976+214530744783*p^137*q^1978+ 1716923851188*p^135*q^1980+10787791710606*p^133*q^1982+47445729550772*p^131*q^ 1984+106775969804540*p^129*q^1986+94364848880344*p^127*q^1988+36999527259763*p^ 125*q^1990+8677290242176*p^123*q^1992+1560189868569*p^121*q^1994+238003152356*p ^119*q^1996+31538377103*p^117*q^1998+3688405476*p^115*q^2000+396111395*p^113*q^ 2002+29013328*p^111*q^2004+1330390*p^109*q^2006+194496*p^107*q^2008+2440*p^105* q^2010+28*p^103*q^2012+41344*p^150*q^1964+19632*p^148*q^1966+3974244*p^146*q^ 1968+57990280*p^144*q^1970+636503346*p^142*q^1972+6700339480*p^140*q^1974+ 67867881214*p^138*q^1976+595509846752*p^136*q^1978+4272019705522*p^134*q^1980+ 23304152339574*p^132*q^1982+78089255813323*p^130*q^1984+114231241933918*p^128*q ^1986+66188641517620*p^126*q^1988+19598960705444*p^124*q^1990+3958593174054*p^ 122*q^1992+654293031694*p^120*q^1994+93469665252*p^118*q^1996+11623820892*p^116 *q^1998+1313949558*p^114*q^2000+130345398*p^112*q^2002+7549478*p^110*q^2004+ 791176*p^108*q^2006+28044*p^106*q^2008+2916*p^104*q^2010+936*p^151*q^1962+34772 *p^149*q^1964+271480*p^147*q^1966+21983352*p^145*q^1968+137482608*p^143*q^1970+ 2127954588*p^141*q^1972+20523125326*p^139*q^1974+194134707994*p^137*q^1976+ 1574773890537*p^135*q^1978+10008793274976*p^133*q^1980+45309123878115*p^131*q^ 1982+106014389758612*p^129*q^1984+98742016901613*p^127*q^1986+39838572581906*p^ 125*q^1988+9552329162608*p^123*q^1990+1727569265486*p^121*q^1992+265886901670*p ^119*q^1994+35471144642*p^117*q^1996+4149993123*p^115*q^1998+455171644*p^113*q^ 2000+35304252*p^111*q^2002+1395448*p^109*q^2004+303136*p^107*q^2006+256*p^105*q ^2008+28*p^103*q^2010+4*p^152*q^1960+23916*p^150*q^1962+14440*p^148*q^1964+ 2682940*p^146*q^1966+59563814*p^144*q^1968+535348976*p^142*q^1970+6093988132*p^ 140*q^1972+61387061718*p^138*q^1974+540293949182*p^136*q^1976+3943182444038*p^ 134*q^1978+21817784503316*p^132*q^1980+75996499366466*p^130*q^1982+ 116096834685642*p^128*q^1984+70537564249094*p^126*q^1986+21321280341331*p^124*q ^1988+4379923532592*p^122*q^1990+726533934703*p^120*q^1992+104825519292*p^118*q ^1994+13055367000*p^116*q^1996+1483857458*p^114*q^1998+148189461*p^112*q^2000+ 8807478*p^110*q^2002+544664*p^108*q^2004+41448*p^106*q^2006+1444*p^104*q^2008+ 32*p^151*q^1960+110212*p^149*q^1962+189780*p^147*q^1964+17367852*p^145*q^1966+ 129128054*p^143*q^1968+1916302876*p^141*q^1970+18340395868*p^139*q^1972+ 175840299106*p^137*q^1974+1437594928204*p^135*q^1976+9309739526543*p^133*q^1978 +42997316394712*p^131*q^1980+105526571880678*p^129*q^1982+102601327373476*p^127 *q^1984+43047657784431*p^125*q^1986+10466055037766*p^123*q^1988+1917403271546*p ^121*q^1990+296098881360*p^119*q^1992+39854189170*p^117*q^1994+4683041836*p^115 *q^1996+509884114*p^113*q^1998+42625706*p^111*q^2000+1967416*p^109*q^2002+ 389392*p^107*q^2004+2460*p^105*q^2006+472*p^103*q^2008+13128*p^150*q^1960+29602 *p^148*q^1962+1706328*p^146*q^1964+60051840*p^144*q^1966+458744964*p^142*q^1968 +5575744304*p^140*q^1970+55372861413*p^138*q^1972+491702800256*p^136*q^1974+ 3624510527516*p^134*q^1976+20491859884588*p^132*q^1978+73449117285137*p^130*q^ 1980+118327464774176*p^128*q^1982+74658156062471*p^126*q^1984+23270236283030*p^ 124*q^1986+4822996224125*p^122*q^1988+808880857724*p^120*q^1990+117051148143*p^ 118*q^1992+14720007394*p^116*q^1994+1650254738*p^114*q^1996+171204642*p^112*q^ 1998+10712566*p^110*q^2000+382116*p^108*q^2002+58624*p^106*q^2004+172*p^151*q^ 1958+115880*p^149*q^1960+113536*p^147*q^1962+13552522*p^145*q^1964+129197416*p^ 143*q^1966+1680646912*p^141*q^1968+16503631752*p^139*q^1970+159055467716*p^137* q^1972+1315706466996*p^135*q^1974+8619436091766*p^133*q^1976+40925702697842*p^ 131*q^1978+104236554518366*p^129*q^1980+106883629330200*p^127*q^1982+ 46232483758594*p^125*q^1984+11503438061177*p^123*q^1986+2120168466912*p^121*q^ 1988+330327972967*p^119*q^1990+44744466428*p^117*q^1992+5267960728*p^115*q^1994 +581097488*p^113*q^1996+51000074*p^111*q^1998+2498902*p^109*q^2000+298286*p^107 *q^2002+7300*p^105*q^2004+574*p^103*q^2006+2392*p^150*q^1958+159390*p^148*q^ 1960+1303038*p^146*q^1962+55388148*p^144*q^1964+392009126*p^142*q^1966+ 5121494021*p^140*q^1968+49845285310*p^138*q^1970+445868149614*p^136*q^1972+ 3340682350270*p^134*q^1974+19139123852996*p^132*q^1976+71161240133120*p^130*q^ 1978+119637907345362*p^128*q^1980+79263655099828*p^126*q^1982+25267285462145*p^ 124*q^1984+5330159999464*p^122*q^1986+897467689386*p^120*q^1988+131140734066*p^ 118*q^1990+16534104539*p^116*q^1992+1859279020*p^114*q^1994+193524300*p^112*q^ 1996+12630082*p^110*q^1998+406744*p^108*q^2000+130384*p^106*q^2002+80*p^104*q^ 2004+32*p^102*q^2006+16*p^151*q^1956+89680*p^149*q^1958+88036*p^147*q^1960+ 9518750*p^145*q^1962+132604910*p^143*q^1964+1474541444*p^141*q^1966+14813727044 *p^139*q^1968+144231610078*p^137*q^1970+1199158109224*p^135*q^1972+ 8001595240660*p^133*q^1974+38694167784386*p^131*q^1976+103246554040839*p^129*q^ 1978+110543064458972*p^127*q^1980+49823124172070*p^125*q^1982+12589287939690*p^ 123*q^1984+2351228460199*p^121*q^1986+367799466054*p^119*q^1988+50260227567*p^ 117*q^1990+5958630842*p^115*q^1992+654217192*p^113*q^1994+60209554*p^111*q^1996 +3216006*p^109*q^1998+197368*p^107*q^2000+5576*p^105*q^2002+2300*p^150*q^1956+ 306736*p^148*q^1958+790998*p^146*q^1960+48775992*p^144*q^1962+346589588*p^142*q ^1964+4649611452*p^140*q^1966+44838566837*p^138*q^1968+404979768818*p^136*q^ 1970+3065305967907*p^134*q^1972+17931096851420*p^132*q^1974+68471369323113*p^ 130*q^1976+121336858461204*p^128*q^1978+83579206927272*p^126*q^1980+ 27519904479338*p^124*q^1982+5862110789407*p^122*q^1984+998090166992*p^120*q^ 1986+146077291997*p^118*q^1988+18598598852*p^116*q^1990+2071993600*p^114*q^1992 +217411420*p^112*q^1994+15367795*p^110*q^1996+573030*p^108*q^1998+131744*p^106* q^2000+876*p^104*q^2002+137*p^102*q^2004+38408*p^149*q^1956+150190*p^147*q^1958 +7107906*p^145*q^1960+134613882*p^143*q^1962+1274383514*p^141*q^1964+ 13472313561*p^139*q^1966+130417175106*p^137*q^1968+1096453387218*p^135*q^1970+ 7397104631490*p^133*q^1972+36708014753466*p^131*q^1974+101456114007652*p^129*q^ 1976+114647370823104*p^127*q^1978+53346588915468*p^125*q^1980+13816295741797*p^ 123*q^1982+2597944897590*p^121*q^1984+410012464312*p^119*q^1986+56383151774*p^ 117*q^1988+6719329813*p^115*q^1990+733814588*p^113*q^1992+71255176*p^111*q^1994 +3770022*p^109*q^1996+88716*p^107*q^1998+26864*p^105*q^2000+860*p^150*q^1954+ 352468*p^148*q^1956+649212*p^146*q^1958+40147354*p^144*q^1960+318245972*p^142*q ^1962+4207818567*p^140*q^1964+40260727010*p^138*q^1966+367077758203*p^136*q^ 1968+2819396703106*p^134*q^1970+16709031161068*p^132*q^1972+66043880822668*p^ 130*q^1974+122038935334114*p^128*q^1976+88417753255164*p^126*q^1978+ 29818894138066*p^124*q^1980+6471923669922*p^122*q^1982+1106803491250*p^120*q^ 1984+163549934042*p^118*q^1986+20925931921*p^116*q^1988+2344620636*p^114*q^1990 +251005839*p^112*q^1992+18735178*p^110*q^1994+843800*p^108*q^1996+122608*p^106* q^1998+168*p^104*q^2000+19052*p^149*q^1954+460956*p^147*q^1956+4827306*p^145*q^ 1958+130837460*p^143*q^1960+1103267928*p^141*q^1962+12198716758*p^139*q^1964+ 118078573031*p^137*q^1966+997617524326*p^135*q^1968+6853477949657*p^133*q^1970+ 34603917679410*p^131*q^1972+99978769957884*p^129*q^1974+118008104109966*p^127*q ^1976+57333382499578*p^125*q^1978+15094145904404*p^123*q^1980+2878125662341*p^ 121*q^1982+455827692356*p^119*q^1984+63178051257*p^117*q^1986+7553856206*p^115* q^1988+817387480*p^113*q^1990+78961442*p^111*q^1992+4307250*p^109*q^1994+96744* p^107*q^1996+38266*p^105*q^1998+48*p^103*q^2000+18*p^101*q^2002+44*p^150*q^1952 +262064*p^148*q^1954+365886*p^146*q^1956+31332242*p^144*q^1958+306246524*p^142* q^1960+3752775344*p^140*q^1962+36186238772*p^138*q^1964+333232074142*p^136*q^ 1966+2583117886118*p^134*q^1968+15617316755124*p^132*q^1970+63289072347537*p^ 130*q^1972+123125845219346*p^128*q^1974+92853297254695*p^126*q^1976+ 32413702075520*p^124*q^1978+7109677053300*p^122*q^1980+1229665843860*p^120*q^ 1982+182200400018*p^118*q^1984+23557547454*p^116*q^1986+2645362518*p^114*q^1988 +280764826*p^112*q^1990+23498992*p^110*q^1992+1129538*p^108*q^1994+49048*p^106* q^1996+2992*p^104*q^1998+4*p^151*q^1950+13484*p^149*q^1952+808488*p^147*q^1954+ 3776538*p^145*q^1956+123626926*p^143*q^1958+958102722*p^141*q^1960+11173112573* p^139*q^1962+106680826414*p^137*q^1964+911192979614*p^135*q^1966+6323802958254* p^133*q^1968+32720891253787*p^131*q^1970+97781285808356*p^129*q^1972+ 121800526667280*p^127*q^1974+61200120462618*p^125*q^1976+16544096292405*p^123*q ^1978+3176459856400*p^121*q^1980+508114204373*p^119*q^1982+70707819676*p^117*q^ 1984+8512832545*p^115*q^1986+910521438*p^113*q^1988+93324994*p^111*q^1990+ 5262156*p^109*q^1992+161568*p^107*q^1994+52428*p^105*q^1996+12*p^150*q^1950+ 135512*p^148*q^1952+572520*p^146*q^1954+23893068*p^144*q^1956+299617532*p^142*q ^1958+3329931841*p^140*q^1960+32537931258*p^138*q^1962+301802957234*p^136*q^ 1964+2371616128076*p^134*q^1966+14522105072726*p^132*q^1968+60781455962304*p^ 130*q^1970+123221668028877*p^128*q^1972+97831893834420*p^126*q^1974+ 35040328313713*p^124*q^1976+7840409396156*p^122*q^1978+1362495472977*p^120*q^ 1980+203624624552*p^118*q^1982+26492709437*p^116*q^1984+2997502426*p^114*q^1986 +320030398*p^112*q^1988+26838508*p^110*q^1990+1232218*p^108*q^1992+13348*p^106* q^1994+7272*p^104*q^1996+p^100*q^2000+2600*p^149*q^1950+951364*p^147*q^1952+ 2472772*p^145*q^1954+107208176*p^143*q^1956+841144364*p^141*q^1958+10102541148* p^139*q^1960+96342114349*p^137*q^1962+827890202832*p^135*q^1964+5849316507329*p ^133*q^1966+30750437067782*p^131*q^1968+95878066660602*p^129*q^1970+ 124788407295450*p^127*q^1972+65565635037006*p^125*q^1974+18042054852882*p^123*q ^1976+3516616840951*p^121*q^1978+564177556864*p^119*q^1980+79162854411*p^117*q^ 1982+9564295692*p^115*q^1984+1019010694*p^113*q^1986+102895052*p^111*q^1988+ 6613628*p^109*q^1990+287734*p^107*q^1992+36872*p^105*q^1994+124*p^103*q^1996+ 160*p^150*q^1948+107216*p^148*q^1950+1154972*p^146*q^1952+18136502*p^144*q^1954 +299591436*p^142*q^1956+2945320746*p^140*q^1958+29432804835*p^138*q^1960+ 274061336294*p^136*q^1962+2169929259466*p^134*q^1964+13545529206146*p^132*q^ 1966+58014754359128*p^130*q^1968+123652746223276*p^128*q^1970+102339485037362*p ^126*q^1972+37999514360930*p^124*q^1974+8603256066956*p^122*q^1976+ 1512616165988*p^120*q^1978+226803909211*p^118*q^1980+29797044254*p^116*q^1982+ 3385869583*p^114*q^1984+356381286*p^112*q^1986+33085168*p^110*q^1988+1518572*p^ 108*q^1990+19856*p^106*q^1992+12748*p^104*q^1994+932*p^149*q^1948+694008*p^147* q^1950+1798534*p^145*q^1952+91270556*p^143*q^1954+759364264*p^141*q^1956+ 9157650376*p^139*q^1958+86714669118*p^137*q^1960+754676392320*p^135*q^1962+ 5385707937096*p^133*q^1964+28995029606012*p^131*q^1966+93302866843210*p^129*q^ 1968+128176671354294*p^127*q^1970+69775765053284*p^125*q^1972+19744436856260*p^ 123*q^1974+3877063430230*p^121*q^1976+628558477208*p^119*q^1978+88438051220*p^ 117*q^1980+10787978016*p^115*q^1982+1143631326*p^113*q^1984+118167184*p^111*q^ 1986+7867688*p^109*q^1988+327900*p^107*q^1990+4950*p^105*q^1992+904*p^103*q^ 1994+16*p^150*q^1946+42852*p^148*q^1948+1993810*p^146*q^1950+13858578*p^144*q^ 1952+285817216*p^142*q^1954+2572633364*p^140*q^1956+26670153598*p^138*q^1958+ 248290887482*p^136*q^1960+1989693001076*p^134*q^1962+12571211740121*p^132*q^ 1964+55511173942560*p^130*q^1966+123113787363247*p^128*q^1968+107360468213034*p ^126*q^1970+40984785583527*p^124*q^1972+9472664497282*p^122*q^1974+ 1673996220159*p^120*q^1976+253104259790*p^118*q^1978+33436348791*p^116*q^1980+ 3812708490*p^114*q^1982+398244678*p^112*q^1984+37755708*p^110*q^1986+1744378*p^ 108*q^1988+53960*p^106*q^1990+18888*p^104*q^1992+1768*p^149*q^1946+551808*p^147 *q^1948+1923250*p^145*q^1950+73019730*p^143*q^1952+711577199*p^141*q^1954+ 8258156370*p^139*q^1956+78190663334*p^137*q^1958+684965618344*p^135*q^1960+ 4972422591826*p^133*q^1962+27168573510374*p^131*q^1964+91053539717272*p^129*q^ 1966+130643129676430*p^127*q^1968+74509554304323*p^125*q^1970+21500099139928*p^ 123*q^1972+4289299689387*p^121*q^1974+697786405524*p^119*q^1976+99104766672*p^ 117*q^1978+12154380746*p^115*q^1980+1306625146*p^113*q^1982+134297656*p^111*q^ 1984+10051406*p^109*q^1986+447860*p^107*q^1988+1384*p^105*q^1990+1496*p^103*q^ 1992+2*p^154*q^1940+17792*p^148*q^1946+2187064*p^146*q^1948+9562372*p^144*q^ 1950+267336356*p^142*q^1952+2250222952*p^140*q^1954+24100059675*p^138*q^1956+ 225066711380*p^136*q^1958+1817342537442*p^134*q^1960+11699759745488*p^132*q^ 1962+52776643346596*p^130*q^1964+122939812734104*p^128*q^1966+111831684030008*p ^126*q^1968+44339188853066*p^124*q^1970+10382080028869*p^122*q^1972+ 1856521611162*p^120*q^1974+281529668134*p^118*q^1976+37440912146*p^116*q^1978+ 4284344777*p^114*q^1980+433381572*p^112*q^1982+41662756*p^110*q^1984+2001598*p^ 108*q^1986+69132*p^106*q^1988+4488*p^104*q^1990+56*p^102*q^1992+820*p^149*q^ 1944+351472*p^147*q^1946+2880178*p^145*q^1948+59927322*p^143*q^1950+680018462*p ^141*q^1952+7415709701*p^139*q^1954+70575720840*p^137*q^1956+624055545132*p^135 *q^1958+4572035635776*p^133*q^1960+25550374018288*p^131*q^1962+88196165335834*p ^129*q^1964+133539117191683*p^127*q^1966+79005882315684*p^125*q^1968+ 23482587398683*p^123*q^1970+4724014079846*p^121*q^1972+776473261367*p^119*q^ 1974+110544662032*p^117*q^1976+13739456111*p^115*q^1978+1475107930*p^113*q^1980 +154686787*p^111*q^1982+13134412*p^109*q^1984+527284*p^107*q^1986+6652*p^105*q^ 1988+5756*p^103*q^1990+13192*p^148*q^1944+2001356*p^146*q^1946+7828258*p^144*q^ 1948+236367414*p^142*q^1950+1987497253*p^140*q^1952+21914308916*p^138*q^1954+ 203446797038*p^136*q^1956+1663709673000*p^134*q^1958+10836305978593*p^132*q^ 1960+50305011851844*p^130*q^1962+121747147703419*p^128*q^1964+116840977001168*p ^126*q^1966+47700348372044*p^124*q^1968+11420452501522*p^122*q^1970+ 2053970812011*p^120*q^1972+314308104058*p^118*q^1974+42059895641*p^116*q^1976+ 4828801630*p^114*q^1978+490824826*p^112*q^1980+47580518*p^110*q^1982+2405478*p^ 108*q^1984+105988*p^106*q^1986+40*p^104*q^1988+56*p^102*q^1990+37*p^153*q^1938+ 44*p^149*q^1942+176560*p^147*q^1944+4335048*p^145*q^1946+44817244*p^143*q^1948+ 653992742*p^141*q^1950+6583172126*p^139*q^1952+63602219961*p^137*q^1954+ 566170150278*p^135*q^1956+4212611348486*p^133*q^1958+23884167357292*p^131*q^ 1960+85665368774255*p^129*q^1962+135432851565196*p^127*q^1964+84087895545014*p^ 125*q^1966+25520515159048*p^123*q^1968+5219152428972*p^121*q^1970+860712339030* p^119*q^1972+123544875379*p^117*q^1974+15393547312*p^115*q^1976+1671546966*p^ 113*q^1978+169100554*p^111*q^1980+14559846*p^109*q^1982+520184*p^107*q^1984+ 11316*p^105*q^1986+2888*p^103*q^1988+11652*p^148*q^1942+1686462*p^146*q^1944+ 6252872*p^144*q^1946+205887254*p^142*q^1948+1780039518*p^140*q^1950+19825182166 *p^138*q^1952+184323741208*p^136*q^1954+1516876344759*p^134*q^1956+ 10066263711090*p^132*q^1958+47663456993556*p^130*q^1960+120941732098854*p^128*q ^1962+121141757220891*p^126*q^1964+51479867241724*p^124*q^1966+12497695146332*p ^122*q^1968+2276452893682*p^120*q^1970+349556161395*p^118*q^1972+47107855494*p^ 116*q^1974+5458524769*p^114*q^1976+549093662*p^112*q^1978+54791950*p^110*q^1980 +3704232*p^108*q^1982+164422*p^106*q^1984+452*p^104*q^1986+944*p^102*q^1988+12* p^149*q^1940+105752*p^147*q^1942+4990194*p^145*q^1944+36445644*p^143*q^1946+ 621737774*p^141*q^1948+5855814623*p^139*q^1950+57554523390*p^137*q^1952+ 515171166961*p^135*q^1954+3868231230472*p^133*q^1956+22397139346466*p^131*q^ 1958+82618381000358*p^129*q^1960+137719889847191*p^127*q^1962+88844801127778*p^ 125*q^1964+27829460577758*p^123*q^1966+5742652551050*p^121*q^1968+957259479718* p^119*q^1970+137732235728*p^117*q^1972+17372329800*p^115*q^1974+1878861818*p^ 113*q^1976+187554512*p^111*q^1978+16907816*p^109*q^1980+506378*p^107*q^1982+ 15756*p^105*q^1984+291*p^152*q^1936+4*p^150*q^1938+2772*p^148*q^1940+1093228*p^ 146*q^1942+7534708*p^144*q^1944+170369754*p^142*q^1946+1632414156*p^140*q^1948+ 17945897074*p^138*q^1950+166252600526*p^136*q^1952+1386885947394*p^134*q^1954+ 9303166157315*p^132*q^1956+45272332399820*p^130*q^1958+119184677063825*p^128*q^ 1960+125993439955558*p^126*q^1962+55226757703018*p^124*q^1964+13730065932304*p^ 122*q^1966+2515680856983*p^120*q^1968+389722671828*p^118*q^1970+52776999451*p^ 116*q^1972+6154522774*p^114*q^1974+626329175*p^112*q^1976+63817036*p^110*q^1978 +4560072*p^108*q^1980+162864*p^106*q^1982+1456*p^104*q^1984+1148*p^102*q^1986+ 85052*p^147*q^1940+5196770*p^145*q^1942+27125038*p^143*q^1944+574869910*p^141*q ^1946+5153061184*p^139*q^1948+52022602871*p^137*q^1950+467281002912*p^135*q^ 1952+3558305408645*p^133*q^1954+20889376164420*p^131*q^1956+79875174655264*p^ 129*q^1958+138985552002350*p^127*q^1960+94204740663495*p^125*q^1962+ 30180904527182*p^123*q^1964+6339044231936*p^121*q^1966+1060221056530*p^119*q^ 1968+153871150031*p^117*q^1970+19468319898*p^115*q^1972+2121562167*p^113*q^1974 +205763134*p^111*q^1976+18080348*p^109*q^1978+762064*p^107*q^1980+38952*p^105*q ^1982+12*p^103*q^1984+64*p^101*q^1986+64*p^152*q^1934+828*p^148*q^1938+732598*p ^146*q^1940+9383790*p^144*q^1942+141102538*p^142*q^1944+1527613076*p^140*q^1946 +16169748617*p^138*q^1948+150543111928*p^136*q^1950+1262709854312*p^134*q^1952+ 8626116794438*p^132*q^1954+42746398787876*p^130*q^1956+117780367600822*p^128*q^ 1958+130056253045051*p^126*q^1960+59435169884428*p^124*q^1962+15005971969636*p^ 122*q^1964+2786653139146*p^120*q^1966+433135537282*p^118*q^1968+59084551542*p^ 116*q^1970+6954225471*p^114*q^1972+711062174*p^112*q^1974+71464170*p^110*q^1976 +5859674*p^108*q^1978+139278*p^106*q^1980+1152*p^104*q^1982+1270*p^151*q^1934+ 148*p^149*q^1936+46472*p^147*q^1938+4391536*p^145*q^1940+22238984*p^143*q^1942+ 520876782*p^141*q^1944+4573231525*p^139*q^1946+47088656024*p^137*q^1948+ 424473441632*p^135*q^1950+3261201904668*p^133*q^1952+19544241642669*p^131*q^ 1954+76701522107998*p^129*q^1956+140602506208017*p^127*q^1958+99180901398564*p^ 125*q^1960+32845137383773*p^123*q^1962+6966017388852*p^121*q^1964+1178146225094 *p^119*q^1966+171403031842*p^117*q^1968+21897578825*p^115*q^1970+2384158514*p^ 113*q^1972+227611336*p^111*q^1974+21549488*p^109*q^1976+1106296*p^107*q^1978+ 49186*p^105*q^1980+118*p^103*q^1982+274*p^101*q^1984+84*p^148*q^1936+484792*p^ 146*q^1938+11225828*p^144*q^1940+115233104*p^142*q^1942+1429297212*p^140*q^1944 +14538407554*p^138*q^1946+135886561748*p^136*q^1948+1153361276602*p^134*q^1950+ 7958782819399*p^132*q^1952+40476003908944*p^130*q^1954+115481269019107*p^128*q^ 1956+134620491534464*p^126*q^1958+63581320925890*p^124*q^1960+16458832289386*p^ 122*q^1962+3076145869809*p^120*q^1964+482521003868*p^118*q^1966+66052072101*p^ 116*q^1968+7847637282*p^114*q^1970+806832760*p^112*q^1972+80122164*p^110*q^1974 +6246522*p^108*q^1976+123708*p^106*q^1978+5848*p^104*q^1980+968*p^151*q^1932+16 *p^149*q^1934+17248*p^147*q^1936+3482476*p^145*q^1938+21114596*p^143*q^1940+ 452783552*p^141*q^1942+4099001444*p^139*q^1944+42646642668*p^137*q^1946+ 384491110952*p^135*q^1948+2994880144123*p^133*q^1950+18181892500750*p^131*q^ 1952+73847222085048*p^129*q^1954+141146152243830*p^127*q^1956+104754866851735*p ^125*q^1958+35557415425234*p^123*q^1960+7682534097669*p^121*q^1962+ 1304689683210*p^119*q^1964+191506454661*p^117*q^1966+24584845502*p^115*q^1968+ 2702300973*p^113*q^1970+258445494*p^111*q^1972+24981978*p^109*q^1974+1652344*p^ 107*q^1976+51500*p^105*q^1978+28*p^103*q^1980+3367*p^150*q^1932+1568*p^148*q^ 1934+369658*p^146*q^1936+11749112*p^144*q^1938+89952900*p^142*q^1940+1346277242 *p^140*q^1942+12939154236*p^138*q^1944+122968985718*p^136*q^1946+1048974010178* p^134*q^1948+7365059582254*p^132*q^1950+38095821204732*p^130*q^1952+ 113577101649810*p^128*q^1954+138300355228175*p^126*q^1956+68227403968606*p^124* q^1958+17960790052389*p^122*q^1960+3403662220718*p^120*q^1962+535285531491*p^ 118*q^1964+73789454744*p^116*q^1966+8803740339*p^114*q^1968+906084212*p^112*q^ 1970+85333458*p^110*q^1972+6879030*p^108*q^1974+192304*p^106*q^1976+10486*p^104 *q^1978+4*p^102*q^1980+36*p^100*q^1982+60*p^151*q^1930+5288*p^147*q^1934+ 2463880*p^145*q^1936+22423806*p^143*q^1938+396245980*p^141*q^1940+3704901082*p^ 139*q^1942+38636755386*p^137*q^1944+349028174694*p^135*q^1946+2740889654518*p^ 133*q^1948+16973420888406*p^131*q^1950+70614423114762*p^129*q^1952+ 142075132342621*p^127*q^1954+109833407323200*p^125*q^1956+38606669062626*p^123* q^1958+8434763082942*p^121*q^1960+1448642630943*p^119*q^1962+213313437548*p^117 *q^1964+27639446897*p^115*q^1966+3062816836*p^113*q^1968+292674898*p^111*q^1970 +29511216*p^109*q^1972+2117878*p^107*q^1974+30656*p^105*q^1976+462*p^103*q^1978 +6096*p^150*q^1930+760*p^148*q^1932+197696*p^146*q^1934+11210016*p^144*q^1936+ 74928228*p^142*q^1938+1237365420*p^140*q^1940+11581724450*p^138*q^1942+ 111075164560*p^136*q^1944+956898411228*p^134*q^1946+6783534480027*p^132*q^1948+ 35959837862064*p^130*q^1950+110796518307050*p^128*q^1952+142499748394640*p^126* q^1954+72757552765864*p^124*q^1956+19673669880860*p^122*q^1958+3754584723963*p^ 120*q^1960+596082046986*p^118*q^1962+82438901513*p^116*q^1964+9938024794*p^114* q^1966+1022446221*p^112*q^1968+95973022*p^110*q^1970+8014336*p^108*q^1972+ 324040*p^106*q^1974+15680*p^104*q^1976+60*p^151*q^1928+5581*p^149*q^1930+8860*p ^147*q^1932+1908794*p^145*q^1934+24520854*p^143*q^1936+328715852*p^141*q^1938+ 3395908910*p^139*q^1940+34874066538*p^137*q^1942+315794464728*p^135*q^1944+ 2512656758799*p^133*q^1946+15758175369952*p^131*q^1948+67705644378478*p^129*q^ 1950+141884886293262*p^127*q^1952+115565228952449*p^125*q^1954+41696837710476*p ^123*q^1956+9290082521387*p^121*q^1958+1602714890690*p^119*q^1960+237961899553* p^117*q^1962+30943009916*p^115*q^1964+3448412258*p^113*q^1966+334008546*p^111*q ^1968+32031298*p^109*q^1970+2203406*p^107*q^1972+23472*p^105*q^1974+1418*p^103* q^1976+2*p^99*q^1980+1546*p^150*q^1928+36*p^148*q^1930+89624*p^146*q^1932+ 9534722*p^144*q^1934+63078762*p^142*q^1936+1130734578*p^140*q^1938+10306223578* p^138*q^1940+100626472842*p^136*q^1942+869409671041*p^134*q^1944+6266280633760* p^132*q^1946+33752603036134*p^130*q^1948+108432678876956*p^128*q^1950+ 145662040810543*p^126*q^1952+77844916168554*p^124*q^1954+21431392003022*p^122*q ^1956+4150779749118*p^120*q^1958+661014261982*p^118*q^1960+92109572474*p^116*q^ 1962+11156516880*p^114*q^1964+1161658942*p^112*q^1966+103168994*p^110*q^1968+ 9474030*p^108*q^1970+578032*p^106*q^1972+13836*p^104*q^1974+12*p^102*q^1976+ 20806*p^149*q^1928+10456*p^147*q^1930+1382966*p^145*q^1932+26193456*p^143*q^ 1934+278623432*p^141*q^1936+3142315142*p^139*q^1938+31458187644*p^137*q^1940+ 286533834530*p^135*q^1942+2296445957094*p^133*q^1944+14676653324355*p^131*q^ 1946+64498096103126*p^129*q^1948+142067807624273*p^127*q^1950+120658945761728*p ^125*q^1952+45180184899274*p^123*q^1954+10187523414978*p^121*q^1956+ 1778609895828*p^119*q^1958+264815450582*p^117*q^1960+34721175432*p^115*q^1962+ 3908270414*p^113*q^1964+376317836*p^111*q^1966+37284578*p^109*q^1968+2654826*p^ 107*q^1970+39856*p^105*q^1972+2822*p^103*q^1974+994*p^150*q^1926+5793*p^148*q^ 1928+50816*p^146*q^1930+7631260*p^144*q^1932+59567434*p^142*q^1934+1003320822*p ^140*q^1936+9226055092*p^138*q^1938+90971690620*p^136*q^1940+791814923506*p^134 *q^1942+5760572836804*p^132*q^1944+31763156092458*p^130*q^1946+105298860986977* p^128*q^1948+149339862009430*p^126*q^1950+82738851555631*p^124*q^1952+ 23440949510248*p^122*q^1954+4573618416337*p^120*q^1956+735449716718*p^118*q^ 1958+102819897706*p^116*q^1960+12586684240*p^114*q^1962+1304659336*p^112*q^1964 +117301996*p^110*q^1966+10733077*p^108*q^1968+625072*p^106*q^1970+3328*p^104*q^ 1972+116*p^102*q^1974+13208*p^149*q^1926+2100*p^147*q^1928+806810*p^145*q^1930+ 26244026*p^143*q^1932+226828928*p^141*q^1934+2904916158*p^139*q^1936+ 28299162475*p^137*q^1938+259017796324*p^135*q^1940+2102870297020*p^133*q^1942+ 13598820292906*p^131*q^1944+61599588210424*p^129*q^1946+141165536138426*p^127*q ^1948+126412488625272*p^125*q^1950+48671997830846*p^123*q^1952+11208767698856*p ^121*q^1954+1965905912940*p^119*q^1956+295055764809*p^117*q^1958+38815167442*p^ 115*q^1960+4390120462*p^113*q^1962+431230620*p^111*q^1964+39349934*p^109*q^1966 +2854218*p^107*q^1968+112028*p^105*q^1970+5060*p^103*q^1972+142*p^150*q^1924+ 42008*p^148*q^1926+73512*p^146*q^1928+6398458*p^144*q^1930+58019584*p^142*q^ 1932+887121002*p^140*q^1934+8302192105*p^138*q^1936+82451238800*p^136*q^1938+ 719054825160*p^134*q^1940+5311999267312*p^132*q^1942+29731426599426*p^130*q^ 1944+102542422605264*p^128*q^1946+151932534988449*p^126*q^1948+88223650637012*p ^124*q^1950+25493374257955*p^122*q^1952+5053527292050*p^120*q^1954+815185926540 *p^118*q^1956+114972146756*p^116*q^1958+14139516060*p^114*q^1960+1488889616*p^ 112*q^1962+131587541*p^110*q^1964+13098938*p^108*q^1966+862302*p^106*q^1968+ 2768*p^104*q^1970+236*p^102*q^1972+8120*p^149*q^1924+4750*p^147*q^1926+418056*p ^145*q^1928+23842752*p^143*q^1930+193363300*p^141*q^1932+2672327210*p^139*q^ 1934+25383940968*p^137*q^1936+234895123153*p^135*q^1938+1918208316154*p^133*q^ 1940+12640234806587*p^131*q^1942+58459021181804*p^129*q^1944+140615763491952*p^ 127*q^1946+131437352671022*p^125*q^1948+52610630445017*p^123*q^1950+ 12274602047838*p^121*q^1952+2179566875237*p^119*q^1954+327990644962*p^117*q^ 1956+43421390097*p^115*q^1958+4947579780*p^113*q^1960+482091162*p^111*q^1962+ 41834748*p^109*q^1964+3173110*p^107*q^1966+137344*p^105*q^1968+1582*p^103*q^ 1970+4*p^101*q^1972+55266*p^148*q^1924+35064*p^146*q^1926+4686422*p^144*q^1928+ 59166332*p^142*q^1930+763500544*p^140*q^1932+7536491766*p^138*q^1934+ 74494942639*p^136*q^1936+654089901452*p^134*q^1938+4876365663331*p^132*q^1940+ 27909970119644*p^130*q^1942+99121397272582*p^128*q^1944+154965987826458*p^126*q ^1946+93461371251162*p^124*q^1948+27829688950434*p^122*q^1950+5562178214192*p^ 120*q^1952+906616453260*p^118*q^1954+128161969709*p^116*q^1956+15948611040*p^ 114*q^1958+1682250187*p^112*q^1960+152742280*p^110*q^1962+15572106*p^108*q^1964 +951720*p^106*q^1966+13848*p^104*q^1968+1092*p^102*q^1970+3327*p^149*q^1922+ 51872*p^147*q^1924+381648*p^145*q^1926+21590942*p^143*q^1928+168387930*p^141*q^ 1930+2438832828*p^139*q^1932+22782064238*p^137*q^1934+212430454892*p^135*q^1936 +1754440973258*p^133*q^1938+11686507740836*p^131*q^1940+55633557883144*p^129*q^ 1942+138987483435752*p^127*q^1944+137092174433006*p^125*q^1946+56543273747742*p ^123*q^1948+13489544339296*p^121*q^1950+2407812358506*p^119*q^1952+365340695704 *p^117*q^1954+48577541410*p^115*q^1956+5570957284*p^113*q^1958+548368520*p^111* q^1960+45512596*p^109*q^1962+3675834*p^107*q^1964+211904*p^105*q^1966+80*p^103* q^1968+6*p^101*q^1970+56*p^150*q^1920+42408*p^148*q^1922+18000*p^146*q^1924+ 2934818*p^144*q^1926+58581500*p^142*q^1928+648556334*p^140*q^1930+6870903501*p^ 138*q^1932+67370350146*p^136*q^1934+593252677117*p^134*q^1936+4487787944154*p^ 132*q^1938+26053186163129*p^130*q^1940+96105628409732*p^128*q^1942+ 156856022195046*p^126*q^1944+99311008779624*p^124*q^1946+30215732944133*p^122*q ^1948+6139377922870*p^120*q^1950+1003936909348*p^118*q^1952+143064341332*p^116* q^1954+17844521466*p^114*q^1956+1901294066*p^112*q^1958+172947548*p^110*q^1960+ 16150130*p^108*q^1962+949991*p^106*q^1964+23516*p^104*q^1966+752*p^102*q^1968+ 212*p^149*q^1920+129913*p^147*q^1922+294320*p^145*q^1924+18642394*p^143*q^1926+ 152017788*p^141*q^1928+2209084038*p^139*q^1930+20413360836*p^137*q^1932+ 192702696060*p^135*q^1934+1598702707322*p^133*q^1936+10842581432989*p^131*q^ 1938+52616577170106*p^129*q^1940+137763944823293*p^127*q^1942+141886464180688*p ^125*q^1944+60947402050793*p^123*q^1946+14754488662602*p^121*q^1948+ 2666713403330*p^119*q^1950+405745571054*p^117*q^1952+54355781896*p^115*q^1954+ 6292224962*p^113*q^1956+620703806*p^111*q^1958+50414120*p^109*q^1960+5210270*p^ 107*q^1962+314008*p^105*q^1964+916*p^103*q^1966+116*p^101*q^1968+29845*p^148*q^ 1920+46984*p^146*q^1922+2014120*p^144*q^1924+57570986*p^142*q^1926+559263352*p^ 140*q^1928+6295258902*p^138*q^1930+60833958444*p^136*q^1932+539220941260*p^134* q^1934+4113689775080*p^132*q^1936+24393348888798*p^130*q^1938+92464182316695*p^ 128*q^1940+159202984088422*p^126*q^1942+104810402621030*p^124*q^1944+ 32927597811742*p^122*q^1946+6751846150940*p^120*q^1948+1116232796052*p^118*q^ 1950+159456086313*p^116*q^1952+20087914232*p^114*q^1954+2144781786*p^112*q^1956 +198077152*p^110*q^1958+17550154*p^108*q^1960+911336*p^106*q^1962+31640*p^104*q ^1964+1040*p^149*q^1918+143472*p^147*q^1920+160939*p^145*q^1922+14361886*p^143* q^1924+141240202*p^141*q^1926+1947638962*p^139*q^1928+18344382954*p^137*q^1930+ 174030217176*p^135*q^1932+1459627819022*p^133*q^1934+10005047979674*p^131*q^ 1936+49895559069663*p^129*q^1938+135481499723042*p^127*q^1940+147356019033644*p ^125*q^1942+65323640058604*p^123*q^1944+16192169522289*p^121*q^1946+ 2943820214546*p^119*q^1948+451494622914*p^117*q^1950+60697965562*p^115*q^1952+ 7085138832*p^113*q^1954+703484860*p^111*q^1956+57925814*p^109*q^1958+5865614*p^ 107*q^1960+315156*p^105*q^1962+3140*p^103*q^1964+212*p^101*q^1966+6470*p^148*q^ 1918+184114*p^146*q^1920+1669100*p^144*q^1922+54311854*p^142*q^1924+479340524*p ^140*q^1926+5783295440*p^138*q^1928+54903106832*p^136*q^1930+488987588960*p^134 *q^1932+3780566336306*p^132*q^1934+22722693970014*p^130*q^1936+89259483152628*p ^128*q^1938+160300742984359*p^126*q^1940+110975377739572*p^124*q^1942+ 35672367953856*p^122*q^1944+7444303686556*p^120*q^1946+1234941669001*p^118*q^ 1948+177782138696*p^116*q^1950+22440694297*p^114*q^1952+2413242718*p^112*q^1954 +223900000*p^110*q^1956+17308662*p^108*q^1958+1297392*p^106*q^1960+76936*p^104* q^1962+24*p^102*q^1964+4*p^100*q^1966+104*p^149*q^1916+145419*p^147*q^1918+ 121812*p^145*q^1920+10179436*p^143*q^1922+137476266*p^141*q^1924+1726951594*p^ 139*q^1926+16556768886*p^137*q^1928+157920811437*p^135*q^1930+1328614923480*p^ 133*q^1932+9263387272615*p^131*q^1934+47036833577796*p^129*q^1936+ 133588323405276*p^127*q^1938+151789800428252*p^125*q^1940+70236870618833*p^123* q^1942+17686110131958*p^121*q^1944+3258829292382*p^119*q^1946+501665078620*p^ 117*q^1948+67971388595*p^115*q^1950+8023294144*p^113*q^1952+805353464*p^111*q^ 1954+67210478*p^109*q^1956+7110672*p^107*q^1958+284902*p^105*q^1960+2304*p^103* q^1962+8818*p^148*q^1916+309960*p^146*q^1918+1108891*p^144*q^1920+49411116*p^ 142*q^1922+416182038*p^140*q^1924+5254809694*p^138*q^1926+49348709742*p^136*q^ 1928+443854510650*p^134*q^1930+3458985113141*p^132*q^1932+21219629748900*p^130* q^1934+85535117809865*p^128*q^1936+161859914865042*p^126*q^1938+116671576992633 *p^124*q^1940+38801033528850*p^122*q^1942+8177676495990*p^120*q^1944+ 1371489200726*p^118*q^1946+197681390349*p^116*q^1948+25163688806*p^114*q^1950+ 2708372933*p^112*q^1952+249890774*p^110*q^1954+18749874*p^108*q^1956+1677070*p^ 106*q^1958+94962*p^104*q^1960+256*p^102*q^1962+32*p^100*q^1964+65564*p^147*q^ 1916+199918*p^145*q^1918+7903262*p^143*q^1920+133058574*p^141*q^1922+1502515530 *p^139*q^1924+15024819944*p^137*q^1926+142733479946*p^135*q^1928+1212083035870* p^133*q^1930+8534214931586*p^131*q^1932+44463597473059*p^129*q^1934+ 130740582301678*p^127*q^1936+156879827377603*p^125*q^1938+75044500354258*p^123* q^1940+19385363064038*p^121*q^1942+3592989710650*p^119*q^1944+558021889076*p^ 117*q^1946+75885425366*p^115*q^1948+9034947474*p^113*q^1950+909499538*p^111*q^ 1952+78952420*p^109*q^1954+6980766*p^107*q^1956+253670*p^105*q^1958+11712*p^103 *q^1960+3004*p^148*q^1914+431602*p^146*q^1916+805702*p^144*q^1918+40489018*p^ 142*q^1920+371082268*p^140*q^1922+4766758840*p^138*q^1924+44449215726*p^136*q^ 1926+402158486345*p^134*q^1928+3173521794214*p^132*q^1930+19718786821254*p^130* q^1932+82198497402012*p^128*q^1934+162169816439682*p^126*q^1936+123049839967752 *p^124*q^1938+41953677947499*p^122*q^1940+9010361832112*p^120*q^1942+ 1517068025385*p^118*q^1944+220432263810*p^116*q^1946+28151969226*p^114*q^1948+ 3066691474*p^112*q^1950+287954054*p^110*q^1952+20622744*p^108*q^1954+2390110*p^ 106*q^1956+108316*p^104*q^1958+56*p^102*q^1960+50428*p^147*q^1914+453660*p^145* q^1916+5868216*p^143*q^1918+129685262*p^141*q^1920+1311349834*p^139*q^1922+ 13665626724*p^137*q^1924+129389761832*p^135*q^1926+1101890282142*p^133*q^1928+ 7888213901910*p^131*q^1930+41787878134364*p^129*q^1932+128282731996975*p^127*q^ 1934+160864377794542*p^125*q^1936+80444277234636*p^123*q^1938+21137949695016*p^ 121*q^1940+3973735292822*p^119*q^1942+619088326046*p^117*q^1944+84710313109*p^ 115*q^1946+10136898150*p^113*q^1948+1022197278*p^111*q^1950+87223044*p^109*q^ 1952+6924016*p^107*q^1954+353378*p^105*q^1956+20268*p^103*q^1958+8*p^101*q^1960 +2*p^99*q^1962+352*p^148*q^1912+332446*p^146*q^1914+535446*p^144*q^1916+ 32318730*p^142*q^1918+338868151*p^140*q^1920+4279618670*p^138*q^1922+ 39950933104*p^136*q^1924+364929665810*p^134*q^1926+2900092948360*p^132*q^1928+ 18375667031288*p^130*q^1930+78450456886497*p^128*q^1932+162871252257040*p^126*q ^1934+128859667951402*p^124*q^1936+45529089342414*p^122*q^1938+9886558778502*p^ 120*q^1940+1683900611776*p^118*q^1942+245149875798*p^116*q^1944+31618217672*p^ 114*q^1946+3485353096*p^112*q^1948+328327432*p^110*q^1950+25217424*p^108*q^1952 +2809844*p^106*q^1954+66328*p^104*q^1956+924*p^102*q^1958+52*p^149*q^1910+33528 *p^147*q^1912+825786*p^145*q^1914+4486740*p^143*q^1916+121334886*p^141*q^1918+ 1138127374*p^139*q^1920+12446478543*p^137*q^1922+116799280752*p^135*q^1924+ 1004050318849*p^133*q^1926+7252481682784*p^131*q^1928+39384204449133*p^129*q^ 1930+124922050011118*p^127*q^1932+165449316219035*p^125*q^1934+85706933426942*p ^123*q^1936+23135372086252*p^121*q^1938+4378501802258*p^119*q^1940+688500703328 *p^117*q^1942+94425731686*p^115*q^1944+11390541397*p^113*q^1946+1142423956*p^ 111*q^1948+100472990*p^109*q^1950+6701624*p^107*q^1952+562344*p^105*q^1954+ 32240*p^103*q^1956+260*p^148*q^1910+230122*p^146*q^1912+694298*p^144*q^1914+ 25411870*p^142*q^1916+317241674*p^140*q^1918+3820557692*p^138*q^1920+ 36059364504*p^136*q^1922+330412536669*p^134*q^1924+2656724803906*p^132*q^1926+ 17037721977391*p^130*q^1928+75107223729474*p^128*q^1930+162339404083901*p^126*q ^1932+135347499278044*p^124*q^1934+49121577155930*p^122*q^1936+10879734506786*p ^120*q^1938+1860436035770*p^118*q^1940+273100606968*p^116*q^1942+35312386534*p^ 114*q^1944+3934072476*p^112*q^1946+375492226*p^110*q^1948+28690106*p^108*q^1950 +2807822*p^106*q^1952+55380*p^104*q^1954+2784*p^102*q^1956+7772*p^147*q^1910+ 984398*p^145*q^1912+3098188*p^143*q^1914+106628294*p^141*q^1916+1000556287*p^ 139*q^1918+11313355496*p^137*q^1920+105675563976*p^135*q^1922+912303680040*p^ 133*q^1924+6691430301214*p^131*q^1926+36905821784596*p^129*q^1928+ 122000660554667*p^127*q^1930+168803687718702*p^125*q^1932+91575417309748*p^123* q^1934+25191424914854*p^121*q^1936+4838568454250*p^119*q^1938+763479576802*p^ 117*q^1940+105405133829*p^115*q^1942+12781130206*p^113*q^1944+1294875832*p^111* q^1946+112675668*p^109*q^1948+7179641*p^107*q^1950+911368*p^105*q^1952+29072*p^ 103*q^1954+24*p^101*q^1956+818*p^148*q^1908+204762*p^146*q^1910+1200508*p^144*q ^1912+20130050*p^142*q^1914+305579842*p^140*q^1916+3385673230*p^138*q^1918+ 32613688139*p^136*q^1920+299941237800*p^134*q^1922+2424151748875*p^132*q^1924+ 15844346023234*p^130*q^1926+71392367444380*p^128*q^1928+162230572474242*p^126*q ^1930+141126759639321*p^124*q^1932+53186015772094*p^122*q^1934+11926056987897*p ^120*q^1936+2063103328926*p^118*q^1938+303673431897*p^116*q^1940+39575007058*p^ 114*q^1942+4461752555*p^112*q^1944+423789412*p^110*q^1946+34259806*p^108*q^1948 +2892544*p^106*q^1950+83436*p^104*q^1952+5672*p^102*q^1954+5508*p^147*q^1908+ 799550*p^145*q^1910+2386040*p^143*q^1912+90622948*p^141*q^1914+877390722*p^139* q^1916+10261095449*p^137*q^1918+95058580760*p^135*q^1920+829783812576*p^133*q^ 1922+6142840385602*p^131*q^1924+34679335386754*p^129*q^1926+118236750553664*p^ 127*q^1928+172794933711020*p^125*q^1930+97239014871670*p^123*q^1932+ 27527070957881*p^121*q^1934+5326932107752*p^119*q^1936+848770028808*p^117*q^ 1938+117309712384*p^115*q^1940+14354264756*p^113*q^1942+1453336276*p^111*q^1944 +129010100*p^109*q^1946+8224898*p^107*q^1948+958222*p^105*q^1950+8732*p^103*q^ 1952+232*p^101*q^1954+96*p^148*q^1906+82498*p^146*q^1908+1900376*p^144*q^1910+ 15451764*p^142*q^1912+287103336*p^140*q^1914+2992554463*p^138*q^1916+ 29525464402*p^136*q^1918+271640249177*p^134*q^1920+2218504716466*p^132*q^1922+ 14662235707322*p^130*q^1924+68092315305484*p^128*q^1926+160850868115729*p^126*q ^1928+147632922120638*p^124*q^1930+57236931363441*p^122*q^1932+13107334805220*p ^120*q^1934+2277914412713*p^118*q^1936+337902021222*p^116*q^1938+44154481016*p^ 114*q^1940+5017548102*p^112*q^1942+478055782*p^110*q^1944+38693526*p^108*q^1946 +2346232*p^106*q^1948+215512*p^104*q^1950+10436*p^102*q^1952+6034*p^147*q^1906+ 806856*p^145*q^1908+2480918*p^143*q^1910+75167928*p^141*q^1912+801200924*p^139* q^1914+9283256992*p^137*q^1916+86048030536*p^135*q^1918+753234843466*p^133*q^ 1920+5656955272835*p^131*q^1922+32414713583152*p^129*q^1924+114919426222097*p^ 127*q^1926+175396553262438*p^125*q^1928+103572143667483*p^123*q^1930+ 29920048113970*p^121*q^1932+5883193788898*p^119*q^1934+940635138400*p^117*q^ 1936+131055125371*p^115*q^1938+16111979046*p^113*q^1940+1666132423*p^111*q^1942 +149100206*p^109*q^1944+10255772*p^107*q^1946+1262612*p^105*q^1948+7120*p^103*q ^1950+472*p^101*q^1952+55716*p^146*q^1906+1987182*p^144*q^1908+11404262*p^142*q ^1910+264315432*p^140*q^1912+2626759278*p^138*q^1914+26750554863*p^136*q^1916+ 246142547150*p^134*q^1918+2021780533333*p^132*q^1920+13604067249690*p^130*q^ 1922+64503700052126*p^128*q^1924+159905558111100*p^126*q^1926+153259697590301*p ^124*q^1928+61834606582030*p^122*q^1930+14349466621483*p^120*q^1932+ 2523620817538*p^118*q^1934+375607894174*p^116*q^1936+49338718168*p^114*q^1938+ 5653986308*p^112*q^1940+528764376*p^110*q^1942+42780822*p^108*q^1944+2232612*p^ 106*q^1946+242908*p^104*q^1948+3320*p^102*q^1950+8*p^100*q^1952+2864*p^147*q^ 1904+504002*p^145*q^1906+3158504*p^143*q^1908+61913726*p^141*q^1910+733176278*p ^139*q^1912+8336025297*p^137*q^1914+77496862998*p^135*q^1916+684997048338*p^133 *q^1918+5184655491626*p^131*q^1920+30378592177502*p^129*q^1922+110885019955328* p^127*q^1924+178624689348025*p^125*q^1926+109573761563402*p^123*q^1928+ 32641375410987*p^121*q^1930+6469117125646*p^119*q^1932+1044701337640*p^117*q^ 1934+145702194620*p^115*q^1936+18077016820*p^113*q^1938+1886118852*p^111*q^1940 +172478527*p^109*q^1942+12773204*p^107*q^1944+1097610*p^105*q^1946+33664*p^103* q^1948+2212*p^101*q^1950+36783*p^146*q^1904+2215088*p^144*q^1906+9710616*p^142* q^1908+234445078*p^140*q^1910+2319805014*p^138*q^1912+24321445592*p^136*q^1914+ 222637554142*p^134*q^1916+1847477810050*p^132*q^1918+12565025964851*p^130*q^ 1920+61286207355290*p^128*q^1922+157771890205342*p^126*q^1924+159598370504766*p ^124*q^1926+66374546581693*p^122*q^1928+15757717926808*p^120*q^1930+ 2785245376705*p^118*q^1932+418152417924*p^116*q^1934+55073274079*p^114*q^1936+ 6367795368*p^112*q^1938+597421367*p^110*q^1940+48837368*p^108*q^1942+2470652*p^ 106*q^1944+391488*p^104*q^1946+296*p^102*q^1948+12*p^100*q^1950+380*p^147*q^ 1902+346828*p^145*q^1904+3849777*p^143*q^1906+48314754*p^141*q^1908+687607566*p ^139*q^1910+7470324634*p^137*q^1912+70101357411*p^135*q^1914+621306114364*p^133 *q^1916+4767312566617*p^131*q^1918+28319770801464*p^129*q^1920+107282497207906* p^127*q^1922+180436517018888*p^125*q^1924+116297174603148*p^123*q^1926+ 35410399481734*p^121*q^1928+7137687142472*p^119*q^1930+1156253208726*p^117*q^ 1932+162528564165*p^115*q^1934+20201385554*p^113*q^1936+2144440388*p^111*q^1938 +193319922*p^109*q^1940+14193806*p^107*q^1942+815908*p^105*q^1944+48712*p^103*q ^1946+1504*p^101*q^1948+28988*p^146*q^1902+1917531*p^144*q^1904+8263834*p^142*q ^1906+205012008*p^140*q^1908+2053530286*p^138*q^1910+22015143825*p^136*q^1912+ 201664174256*p^134*q^1914+1681774387445*p^132*q^1916+11637679281976*p^130*q^ 1918+57859562885292*p^128*q^1920+156026675912332*p^126*q^1922+164956307064895*p ^124*q^1924+71503709084860*p^122*q^1926+17226188875723*p^120*q^1928+ 3084273395162*p^118*q^1930+464549166433*p^116*q^1932+61503518156*p^114*q^1934+ 7178905247*p^112*q^1936+676648062*p^110*q^1938+56841494*p^108*q^1940+3528520*p^ 106*q^1942+496627*p^104*q^1944+2868*p^102*q^1946+232*p^100*q^1948+188*p^147*q^ 1900+231229*p^145*q^1902+4589258*p^143*q^1904+40115134*p^141*q^1906+633390184*p ^139*q^1908+6664668338*p^137*q^1910+63330183720*p^135*q^1912+564619927784*p^133 *q^1914+4362796777094*p^131*q^1916+26475354725004*p^129*q^1918+103053334145886* p^127*q^1920+182793289695847*p^125*q^1922+122608687101066*p^123*q^1924+ 38560540994094*p^121*q^1926+7842501814574*p^119*q^1928+1283531716570*p^117*q^ 1930+180754898384*p^115*q^1932+22666628620*p^113*q^1934+2425238368*p^111*q^1936 +215488322*p^109*q^1938+16185748*p^107*q^1940+592094*p^105*q^1942+72488*p^103*q ^1944+48*p^148*q^1898+9640*p^146*q^1900+1476272*p^144*q^1902+8310873*p^142*q^ 1904+171661634*p^140*q^1906+1842852992*p^138*q^1908+19928904202*p^136*q^1910+ 182056101086*p^134*q^1912+1534557263726*p^132*q^1914+10725276230030*p^130*q^ 1916+54798091027742*p^128*q^1918+153159376228913*p^126*q^1920+170996551034142*p ^124*q^1922+76558483666406*p^122*q^1924+18890361158624*p^120*q^1926+ 3400636125284*p^118*q^1928+516719683562*p^116*q^1930+68531850111*p^114*q^1932+ 8044159658*p^112*q^1934+767519614*p^110*q^1936+66634708*p^108*q^1938+4227677*p^ 106*q^1940+397544*p^104*q^1942+8262*p^102*q^1944+424*p^100*q^1946+173226*p^145* q^1900+4934324*p^143*q^1902+32642498*p^141*q^1904+581496680*p^139*q^1906+ 5928495680*p^137*q^1908+57431443859*p^135*q^1910+512046123978*p^133*q^1912+ 4005865758649*p^131*q^1914+24624557070236*p^129*q^1916+99291983059996*p^127*q^ 1918+183696273332544*p^125*q^1920+129623684849351*p^123*q^1922+41753160160514*p ^121*q^1924+8643749190621*p^119*q^1926+1419439177688*p^117*q^1928+201630055250* p^115*q^1930+25284054104*p^113*q^1932+2754007192*p^111*q^1934+241448020*p^109*q ^1936+17586272*p^107*q^1938+748890*p^105*q^1940+157690*p^103*q^1942+92*p^101*q^ 1944+8*p^99*q^1946+4336*p^146*q^1898+1182555*p^144*q^1900+9093336*p^142*q^1902+ 144764520*p^140*q^1904+1682281278*p^138*q^1906+18002686824*p^136*q^1908+ 164868523718*p^134*q^1910+1395487188388*p^132*q^1912+9915044061434*p^130*q^1914 +51557479329013*p^128*q^1916+150728762751148*p^126*q^1918+175877279320057*p^124 *q^1920+82245109935146*p^122*q^1922+20627958199125*p^120*q^1924+3763170089416*p ^118*q^1926+573853351529*p^116*q^1928+76567667668*p^114*q^1930+9077598489*p^112 *q^1932+881916212*p^110*q^1934+76030196*p^108*q^1936+5342556*p^106*q^1938+ 263446*p^104*q^1940+6656*p^102*q^1942+752*p^147*q^1896+104322*p^145*q^1898+ 4434388*p^143*q^1900+26878371*p^141*q^1902+517186886*p^139*q^1904+5237466710*p^ 137*q^1906+51898629158*p^135*q^1908+464642053580*p^133*q^1910+3660465134538*p^ 131*q^1912+22962702955666*p^129*q^1914+94967546087822*p^127*q^1916+ 185179398289154*p^125*q^1918+136131499188722*p^123*q^1920+45375650498450*p^121* q^1922+9487811785842*p^119*q^1924+1574518529277*p^117*q^1926+224069980668*p^115 *q^1928+28261485425*p^113*q^1930+3091773566*p^111*q^1932+265519950*p^109*q^1934 +20661344*p^107*q^1936+984240*p^105*q^1938+161656*p^103*q^1940+968*p^101*q^1942 +64*p^99*q^1944+876*p^146*q^1896+812020*p^144*q^1898+10236007*p^142*q^1900+ 122153606*p^140*q^1902+1533889278*p^138*q^1904+16256808458*p^136*q^1906+ 148900022230*p^134*q^1908+1272412681298*p^132*q^1910+9123922892692*p^130*q^1912 +48677265913336*p^128*q^1914+147222302360141*p^126*q^1916+181485530194366*p^124 *q^1918+87780240868355*p^122*q^1920+22585797601900*p^120*q^1922+4146444882439*p ^118*q^1924+637529797358*p^116*q^1926+85255268024*p^114*q^1928+10168261610*p^ 112*q^1930+1005426988*p^110*q^1932+87165756*p^108*q^1934+5679532*p^106*q^1936+ 143852*p^104*q^1938+31417*p^102*q^1940+88*p^147*q^1894+50564*p^145*q^1896+ 4251675*p^143*q^1898+24492220*p^141*q^1900+455143170*p^139*q^1902+4693148800*p^ 137*q^1904+47052751740*p^135*q^1906+421074488840*p^133*q^1908+3355580098348*p^ 131*q^1910+21310512338398*p^129*q^1912+91112794312520*p^127*q^1914+ 185103252081684*p^125*q^1916+143391203577400*p^123*q^1918+49030104605218*p^121* q^1920+10449755101831*p^119*q^1922+1740785925622*p^117*q^1924+250123111639*p^ 115*q^1926+31582870058*p^113*q^1928+3509394228*p^111*q^1930+304630832*p^109*q^ 1932+24183915*p^107*q^1934+1462814*p^105*q^1936+153006*p^103*q^1938+192*p^101*q ^1940+5264*p^146*q^1894+651734*p^144*q^1896+10128738*p^142*q^1898+100546922*p^ 140*q^1900+1406592416*p^138*q^1902+14545053171*p^136*q^1904+134916895976*p^134* q^1906+1155735929200*p^132*q^1908+8417649897920*p^130*q^1910+45667269816477*p^ 128*q^1912+144167329629952*p^126*q^1914+185768436698090*p^124*q^1916+ 94035436139980*p^122*q^1918+24622855711940*p^120*q^1920+4583314915994*p^118*q^ 1922+707007215752*p^116*q^1924+95101148338*p^114*q^1926+11374724079*p^112*q^ 1928+1143572232*p^110*q^1930+94361494*p^108*q^1932+6243200*p^106*q^1934+171088* p^104*q^1936+44176*p^102*q^1938+52*p^100*q^1940+4*p^98*q^1942+20046*p^145*q^ 1894+3197126*p^143*q^1896+23947596*p^141*q^1898+395152012*p^139*q^1900+ 4188189602*p^137*q^1902+42598613050*p^135*q^1904+381712832539*p^133*q^1906+ 3062450983416*p^131*q^1908+19828876364498*p^129*q^1910+86817708229938*p^127*q^ 1912+185615596896206*p^125*q^1914+149945644630910*p^123*q^1916+53177328998827*p ^121*q^1918+11456487642230*p^119*q^1920+1930069135350*p^117*q^1922+277981023498 *p^115*q^1924+35305634399*p^113*q^1926+3957675018*p^111*q^1928+345565678*p^109* q^1930+29093028*p^107*q^1932+1796280*p^105*q^1934+60276*p^103*q^1936+3428*p^101 *q^1938+2552*p^146*q^1892+390660*p^144*q^1894+10914478*p^142*q^1896+84803050*p^ 140*q^1898+1273384127*p^138*q^1900+13062082790*p^136*q^1902+121884455527*p^134* q^1904+1053196861804*p^132*q^1906+7732554376986*p^130*q^1908+42977251457118*p^ 128*q^1910+140149932283207*p^126*q^1912+190744575145614*p^124*q^1914+ 100052892640433*p^122*q^1916+26929243490358*p^120*q^1918+5046100657070*p^118*q^ 1920+785170398000*p^116*q^1922+105935637138*p^114*q^1924+12733012982*p^112*q^ 1926+1298101957*p^110*q^1928+105979374*p^108*q^1930+7078440*p^106*q^1932+283684 *p^104*q^1934+62452*p^102*q^1936+4*p^147*q^1890+24700*p^145*q^1892+2781106*p^ 143*q^1894+22820084*p^141*q^1896+340187615*p^139*q^1898+3781332864*p^137*q^1900 +38561914802*p^135*q^1902+345593816494*p^133*q^1904+2802738487792*p^131*q^1906+ 18360860755578*p^129*q^1908+82958052983513*p^127*q^1910+184640426223474*p^125*q ^1912+157285156281850*p^123*q^1914+57324037812426*p^121*q^1916+12604560685882*p ^119*q^1918+2132071925240*p^117*q^1920+309817531017*p^115*q^1922+39361176940*p^ 113*q^1924+4457579534*p^111*q^1926+398169172*p^109*q^1928+32740162*p^107*q^1930 +1927632*p^105*q^1932+24528*p^103*q^1934+8032*p^101*q^1936+220*p^146*q^1890+ 208686*p^144*q^1892+9821138*p^142*q^1894+73961292*p^140*q^1896+1146990046*p^138 *q^1898+11670655137*p^136*q^1900+110487495026*p^134*q^1902+955862893848*p^132*q ^1904+7124335760044*p^130*q^1906+40209124300007*p^128*q^1908+136578575640902*p^ 126*q^1910+194301024472782*p^124*q^1912+106828094832888*p^122*q^1914+ 29306069038837*p^120*q^1916+5575120184150*p^118*q^1918+869989667297*p^116*q^ 1920+118286335194*p^114*q^1922+14242026856*p^112*q^1924+1480626298*p^110*q^1926 +116334990*p^108*q^1928+8431118*p^106*q^1930+466358*p^104*q^1932+42144*p^102*q^ 1934+140*p^100*q^1936+4*p^147*q^1888+26844*p^145*q^1890+2086232*p^143*q^1892+ 23547392*p^141*q^1894+290900846*p^139*q^1896+3423242658*p^137*q^1898+ 34802724322*p^135*q^1900+313304823134*p^133*q^1902+2555041751654*p^131*q^1904+ 17046529692514*p^129*q^1906+78738048208976*p^127*q^1908+184157064620309*p^125*q ^1910+163820004032498*p^123*q^1912+62025356668076*p^121*q^1914+13806215698678*p ^119*q^1916+2362370164237*p^117*q^1918+344169849876*p^115*q^1920+43987308102*p^ 113*q^1922+5013987272*p^111*q^1924+456371951*p^109*q^1926+37814520*p^107*q^1928 +2208084*p^105*q^1930+34856*p^103*q^1932+14636*p^101*q^1934+332*p^146*q^1888+ 126562*p^144*q^1890+8930732*p^142*q^1892+65678194*p^140*q^1894+1012524435*p^138 *q^1896+10434201748*p^136*q^1898+99875286587*p^134*q^1900+869657757606*p^132*q^ 1902+6531549783639*p^130*q^1904+37742048170080*p^128*q^1906+132148479282273*p^ 126*q^1908+198523181664566*p^124*q^1910+113302000022803*p^122*q^1912+ 32000804991154*p^120*q^1914+6131090721345*p^118*q^1916+965915243290*p^116*q^ 1918+131635934354*p^114*q^1920+15912007086*p^112*q^1922+1666610506*p^110*q^1924 +130304460*p^108*q^1926+9876076*p^106*q^1928+517468*p^104*q^1930+6485*p^102*q^ 1932+976*p^100*q^1934+6020*p^145*q^1888+1353948*p^143*q^1890+23855026*p^141*q^ 1892+248297616*p^139*q^1894+3114812578*p^137*q^1896+31466411208*p^135*q^1898+ 283630434434*p^133*q^1900+2336203221979*p^131*q^1902+15755049273744*p^129*q^ 1904+74970024364377*p^127*q^1906+182240266918178*p^125*q^1908+171072409857271*p ^123*q^1910+66710753218014*p^121*q^1912+15168498606277*p^119*q^1914+ 2607813960764*p^117*q^1916+383061807754*p^115*q^1918+49064825174*p^113*q^1920+ 5621308766*p^111*q^1922+528163608*p^109*q^1924+41762588*p^107*q^1926+2311092*p^ 105*q^1928+89520*p^103*q^1930+21004*p^101*q^1932+100*p^146*q^1886+162189*p^144* q^1888+7960458*p^142*q^1890+59551741*p^140*q^1892+898048244*p^138*q^1894+ 9348354660*p^136*q^1896+90513495232*p^134*q^1898+788674012076*p^132*q^1900+ 6007144415390*p^130*q^1902+35207790822241*p^128*q^1904+128201585236070*p^126*q^ 1906+201181117170445*p^124*q^1908+120566698094372*p^122*q^1910+34773296511261*p ^120*q^1912+6769901759100*p^118*q^1914+1069859565129*p^116*q^1916+147171509242* p^114*q^1918+17796291537*p^112*q^1920+1906343252*p^110*q^1922+149914339*p^108*q ^1924+12036100*p^106*q^1926+704106*p^104*q^1928+2444*p^102*q^1930+1666*p^100*q^ 1932+44*p^147*q^1884+5886*p^145*q^1886+795984*p^143*q^1888+22796104*p^141*q^ 1890+215177710*p^139*q^1892+2805223223*p^137*q^1894+28274635468*p^135*q^1896+ 257029696174*p^133*q^1898+2127007856836*p^131*q^1900+14597096138171*p^129*q^ 1902+70896678673122*p^127*q^1904+180871075489659*p^125*q^1906+177382330726078*p ^123*q^1908+71999254120868*p^121*q^1910+16596392727922*p^119*q^1912+ 2886411637576*p^117*q^1914+424999134270*p^115*q^1916+54703765842*p^113*q^1918+ 6284435258*p^111*q^1920+594946872*p^109*q^1922+43681166*p^107*q^1924+2610013*p^ 105*q^1926+103636*p^103*q^1928+4786*p^101*q^1930+60*p^99*q^1932+48*p^146*q^1884 +71900*p^144*q^1886+6102628*p^142*q^1888+56663624*p^140*q^1890+779726549*p^138* q^1892+8415466692*p^136*q^1894+81873977133*p^134*q^1896+717076361652*p^132*q^ 1898+5500438809334*p^130*q^1900+32959406747842*p^128*q^1902+123474429350316*p^ 126*q^1904+204545661537242*p^124*q^1906+127404897385336*p^122*q^1908+ 37901907390170*p^120*q^1910+7439202994297*p^118*q^1912+1187328993802*p^116*q^ 1914+163702520324*p^114*q^1916+19923620638*p^112*q^1918+2145203888*p^110*q^1920 +175632610*p^108*q^1922+14865814*p^106*q^1924+711072*p^104*q^1926+11520*p^102*q ^1928+6264*p^100*q^1930+2052*p^145*q^1884+748882*p^143*q^1886+22907452*p^141*q^ 1888+187933113*p^139*q^1890+2531268904*p^137*q^1892+25464180474*p^135*q^1894+ 232641211780*p^133*q^1896+1942513452709*p^131*q^1898+13465063426462*p^129*q^ 1900+67263834275097*p^127*q^1902+178051578539620*p^125*q^1904+184452627335760*p ^123*q^1906+77230714605436*p^121*q^1908+18215028034401*p^119*q^1910+ 3185067541392*p^117*q^1912+472740536462*p^115*q^1914+61096828104*p^113*q^1916+ 7027712840*p^111*q^1918+685860738*p^109*q^1920+48316380*p^107*q^1922+3044326*p^ 105*q^1924+176066*p^103*q^1926+80*p^101*q^1928+60*p^99*q^1930+694*p^146*q^1882+ 55133*p^144*q^1884+4262462*p^142*q^1886+53210724*p^140*q^1888+682446928*p^138*q ^1890+7581270972*p^136*q^1892+74149146230*p^134*q^1894+649843783633*p^132*q^ 1896+5049545970520*p^130*q^1898+30675966875786*p^128*q^1900+119240609324376*p^ 126*q^1902+206225595684903*p^124*q^1904+135110493079304*p^122*q^1906+ 41105386369990*p^120*q^1908+8205794966918*p^118*q^1910+1313756514739*p^116*q^ 1912+182777910098*p^114*q^1914+22214865237*p^112*q^1916+2429900652*p^110*q^1918 +201525448*p^108*q^1920+15764456*p^106*q^1922+713450*p^104*q^1924+15864*p^102*q ^1926+2967*p^100*q^1928+1388*p^145*q^1882+510952*p^143*q^1884+20156770*p^141*q^ 1886+164953322*p^139*q^1888+2251206489*p^137*q^1890+22821198760*p^135*q^1892+ 210788461168*p^133*q^1894+1766444899828*p^131*q^1896+12451661645350*p^129*q^ 1898+63404863580364*p^127*q^1900+175811654864313*p^125*q^1902+190348446360410*p ^123*q^1904+83149723180837*p^121*q^1906+19901812551586*p^119*q^1908+ 3522829062345*p^117*q^1910+524517329990*p^115*q^1912+68177353764*p^113*q^1914+ 7869429344*p^111*q^1916+777459470*p^109*q^1918+54218108*p^107*q^1920+4357640*p^ 105*q^1922+222094*p^103*q^1924+824*p^101*q^1926+1012*p^99*q^1928+92*p^146*q^ 1880+29748*p^144*q^1882+3225713*p^142*q^1884+54917230*p^140*q^1886+597158406*p^ 138*q^1888+6872008502*p^136*q^1890+67060818440*p^134*q^1892+590673609462*p^132* q^1894+4618081089347*p^130*q^1896+28640013591546*p^128*q^1898+114367745983347*p ^126*q^1900+208569077346674*p^124*q^1902+142238095652955*p^122*q^1904+ 44729734069488*p^120*q^1906+9008540958280*p^118*q^1908+1457446246968*p^116*q^ 1910+203025473183*p^114*q^1912+24867409662*p^112*q^1914+2716894501*p^110*q^1916 +233672574*p^108*q^1918+17155326*p^106*q^1920+673356*p^104*q^1922+27668*p^102*q ^1924+4916*p^145*q^1880+355946*p^143*q^1882+16770224*p^141*q^1884+143750324*p^ 139*q^1886+1999915794*p^137*q^1888+20513985929*p^135*q^1890+190658670560*p^133* q^1892+1610997142312*p^131*q^1894+11462198546036*p^129*q^1896+59946111049943*p^ 127*q^1898+172246372842156*p^125*q^1900+197020303532727*p^123*q^1902+ 88935907770072*p^121*q^1904+21819706693026*p^119*q^1906+3884092541482*p^117*q^ 1908+583045581328*p^115*q^1910+76195345116*p^113*q^1912+8796085472*p^111*q^1914 +891043506*p^109*q^1916+62997218*p^107*q^1918+5177668*p^105*q^1920+220976*p^103 *q^1922+2056*p^101*q^1924+1162*p^99*q^1926+17558*p^144*q^1880+2604002*p^142*q^ 1882+52848702*p^140*q^1884+525141864*p^138*q^1886+6179146827*p^136*q^1888+ 60608331754*p^134*q^1890+535145795258*p^132*q^1892+4234473948782*p^130*q^1894+ 26595884318714*p^128*q^1896+109968207716574*p^126*q^1898+209242634505556*p^124* q^1900+150248702982414*p^122*q^1902+48408865654571*p^120*q^1904+9927865376436*p ^118*q^1906+1611080921075*p^116*q^1908+226367776080*p^114*q^1910+27684170669*p^ 112*q^1912+3049311126*p^110*q^1914+268118692*p^108*q^1916+17510482*p^106*q^1918 +946824*p^104*q^1920+54424*p^102*q^1922+24*p^100*q^1924+68*p^98*q^1926+2400*p^ 145*q^1878+260584*p^143*q^1880+12829123*p^141*q^1882+135131582*p^139*q^1884+ 1774151616*p^137*q^1886+18464298180*p^135*q^1888+172925649344*p^133*q^1890+ 1463643819924*p^131*q^1892+10580851599571*p^129*q^1894+56322269046052*p^127*q^ 1896+169191633670395*p^125*q^1898+202391115693968*p^123*q^1900+95473230834223*p ^121*q^1902+23807632660470*p^119*q^1904+4294990914954*p^117*q^1906+646741526608 *p^115*q^1908+85139911462*p^113*q^1910+9879192546*p^111*q^1912+1017404952*p^109 *q^1914+73664870*p^107*q^1916+6222654*p^105*q^1918+188940*p^103*q^1920+2160*p^ 101*q^1922+4*p^146*q^1876+25796*p^144*q^1878+1827237*p^142*q^1880+49508260*p^ 140*q^1882+451656870*p^138*q^1884+5546753640*p^136*q^1886+54578408030*p^134*q^ 1888+485627240298*p^132*q^1890+3865925845096*p^130*q^1892+24773321832268*p^128* q^1894+105030516012991*p^126*q^1896+210527907199974*p^124*q^1898+ 157596089588631*p^122*q^1900+52572109864830*p^120*q^1902+10889089281745*p^118*q ^1904+1785690091092*p^116*q^1906+251284456768*p^114*q^1908+30937574032*p^112*q^ 1910+3386588020*p^110*q^1912+303982630*p^108*q^1914+18872530*p^106*q^1916+ 1305232*p^104*q^1918+61384*p^102*q^1920+188*p^100*q^1922+275*p^98*q^1924+240*p^ 145*q^1876+150716*p^143*q^1878+10647538*p^141*q^1880+129367044*p^139*q^1882+ 1575494084*p^137*q^1884+16682494027*p^135*q^1886+156573411372*p^133*q^1888+ 1334493429753*p^131*q^1890+9724675337372*p^129*q^1892+53098887722187*p^127*q^ 1894+164946303922580*p^125*q^1896+208456054557976*p^123*q^1898+101823801243236* p^121*q^1900+26060071754799*p^119*q^1902+4729852351080*p^117*q^1904+ 718663386860*p^115*q^1906+94901090204*p^113*q^1908+11039064144*p^111*q^1910+ 1151796108*p^109*q^1912+87780164*p^107*q^1914+6547614*p^105*q^1916+159020*p^103 *q^1918+9054*p^101*q^1920+4*p^146*q^1874+23096*p^144*q^1876+1529218*p^142*q^ 1878+42693855*p^140*q^1880+395082958*p^138*q^1882+4971557760*p^136*q^1884+ 49234888814*p^134*q^1886+439806753062*p^132*q^1888+3538799109382*p^130*q^1890+ 22949964854423*p^128*q^1892+100584214889640*p^126*q^1894+210084112260034*p^124* q^1896+165798005497418*p^122*q^1898+56790622652743*p^120*q^1900+11990679710504* p^118*q^1902+1974095887849*p^116*q^1904+280185365788*p^114*q^1906+34637099687*p ^112*q^1908+3819108898*p^110*q^1910+355906972*p^108*q^1912+21271904*p^106*q^ 1914+1825324*p^104*q^1916+68332*p^102*q^1918+48*p^100*q^1920+228*p^145*q^1874+ 148700*p^143*q^1876+7968686*p^141*q^1878+123855048*p^139*q^1880+1390942920*p^ 137*q^1882+14981307312*p^135*q^1884+141784298061*p^133*q^1886+1210967463528*p^ 131*q^1888+8960694645256*p^129*q^1890+49731303151702*p^127*q^1892+ 161275896898247*p^125*q^1894+213090864094210*p^123*q^1896+108978682671589*p^121 *q^1898+28395471353320*p^119*q^1900+5224987413766*p^117*q^1902+795783699628*p^ 115*q^1904+105817716310*p^113*q^1906+12288177270*p^111*q^1908+1284455125*p^109* q^1910+98144372*p^107*q^1912+6394202*p^105*q^1914+238000*p^103*q^1916+11860*p^ 101*q^1918+8*p^99*q^1920+36*p^97*q^1922+6534*p^144*q^1874+978530*p^142*q^1876+ 36270928*p^140*q^1878+354719090*p^138*q^1880+4442434354*p^136*q^1882+ 44375962210*p^134*q^1884+399323484824*p^132*q^1886+3228170670021*p^130*q^1888+ 21330167825332*p^128*q^1890+95689653395781*p^126*q^1892+210309342683074*p^124*q ^1894+173163831322052*p^122*q^1896+61529686504998*p^120*q^1898+13139630594369*p ^118*q^1900+2186518272612*p^116*q^1902+311119170044*p^114*q^1904+38758772354*p^ 112*q^1906+4277648670*p^110*q^1908+409307792*p^108*q^1910+25904628*p^106*q^1912 +2322570*p^104*q^1914+34056*p^102*q^1916+872*p^100*q^1918+88*p^145*q^1872+ 134372*p^143*q^1874+6784894*p^141*q^1876+117654601*p^139*q^1878+1218002286*p^ 137*q^1880+13546084320*p^135*q^1882+128247568262*p^133*q^1884+1102788964107*p^ 131*q^1886+8221730482648*p^129*q^1888+46743319846663*p^127*q^1890+ 156446231579104*p^125*q^1892+218459036654821*p^123*q^1894+115848122557296*p^121 *q^1896+31042996714864*p^119*q^1898+5751703470722*p^117*q^1900+884092704042*p^ 115*q^1902+117893672776*p^113*q^1904+13766608172*p^111*q^1906+1440973490*p^109* q^1908+116433030*p^107*q^1910+6469758*p^105*q^1912+373470*p^103*q^1914+20460*p^ 101*q^1916+4*p^146*q^1870+4344*p^144*q^1872+863574*p^142*q^1874+29684256*p^140* q^1876+321191452*p^138*q^1878+3978365222*p^136*q^1880+39970785958*p^134*q^1882+ 361457244988*p^132*q^1884+2950948350496*p^130*q^1886+19720673974789*p^128*q^ 1888+91277901294644*p^126*q^1890+208785856222434*p^124*q^1892+181454748916370*p ^122*q^1894+66309472963400*p^120*q^1896+14449760932030*p^118*q^1898+ 2414745831949*p^116*q^1900+346408992798*p^114*q^1902+43291686182*p^112*q^1904+ 4781067910*p^110*q^1906+468995094*p^108*q^1908+29612858*p^106*q^1910+2378202*p^ 104*q^1912+30388*p^102*q^1914+1520*p^100*q^1916+2*p^96*q^1920+24*p^145*q^1870+ 74568*p^143*q^1872+4939858*p^141*q^1874+105253440*p^139*q^1876+1072939478*p^137 *q^1878+12113038356*p^135*q^1880+116064548945*p^133*q^1882+1000191582868*p^131* q^1884+7563162902011*p^129*q^1886+43665958891312*p^127*q^1888+152229399362610*p ^125*q^1890+222167674953010*p^123*q^1892+123609790054611*p^121*q^1894+ 33764817958582*p^119*q^1896+6350243138418*p^117*q^1898+978811963090*p^115*q^ 1900+131484865262*p^113*q^1902+15369944466*p^111*q^1904+1620479506*p^109*q^1906 +133784368*p^107*q^1908+6943938*p^105*q^1910+633482*p^103*q^1912+12796*p^101*q^ 1914+32*p^99*q^1916+40*p^146*q^1868+1772*p^144*q^1870+681443*p^142*q^1872+ 24932510*p^140*q^1874+303311507*p^138*q^1876+3544044504*p^136*q^1878+ 36122852066*p^134*q^1880+328103467484*p^132*q^1882+2688599602848*p^130*q^1884+ 18287639242060*p^128*q^1886+86518303472672*p^126*q^1888+207910869251538*p^124*q ^1890+188694847163500*p^122*q^1892+71696352228674*p^120*q^1894+15817562062785*p ^118*q^1896+2673065795848*p^116*q^1898+384439156268*p^114*q^1900+48393701124*p^ 112*q^1902+5360186620*p^110*q^1904+528114584*p^108*q^1906+35823098*p^106*q^1908 +2484730*p^104*q^1910+48576*p^102*q^1912+3784*p^100*q^1914+120*p^145*q^1868+ 46114*p^143*q^1870+4167706*p^141*q^1872+93206167*p^139*q^1874+938181934*p^137*q ^1876+10919360510*p^135*q^1878+104686514418*p^133*q^1880+910068071779*p^131*q^ 1882+6927912035604*p^129*q^1884+40921467197331*p^127*q^1886+147025971475878*p^ 125*q^1888+226612283758574*p^123*q^1890+130951082702070*p^121*q^1892+ 36859139757805*p^119*q^1894+6983075387560*p^117*q^1896+1086526038073*p^115*q^ 1898+146342356002*p^113*q^1900+17239633522*p^111*q^1902+1799909812*p^109*q^1904 +157215814*p^107*q^1906+7937186*p^105*q^1908+725894*p^103*q^1910+2986*p^101*q^ 1912+144*p^99*q^1914+776*p^144*q^1868+503936*p^142*q^1870+20173454*p^140*q^1872 +279352346*p^138*q^1874+3157981940*p^136*q^1876+32539285142*p^134*q^1878+ 297158670398*p^132*q^1880+2455419091762*p^130*q^1882+16875325184077*p^128*q^ 1884+82222777718332*p^126*q^1886+205377589159277*p^124*q^1888+196852618378990*p ^122*q^1890+77063066437091*p^120*q^1892+17378873906640*p^118*q^1894+ 2949913647508*p^116*q^1896+427810270218*p^114*q^1898+54023071190*p^112*q^1900+ 5981291210*p^110*q^1902+603622752*p^108*q^1904+41713252*p^106*q^1906+2155986*p^ 104*q^1908+123892*p^102*q^1910+4432*p^100*q^1912+644*p^145*q^1866+26196*p^143*q ^1868+3393813*p^141*q^1870+80115564*p^139*q^1872+843059811*p^137*q^1874+ 9767244104*p^135*q^1876+94704950135*p^133*q^1878+824830009434*p^131*q^1880+ 6362979775488*p^129*q^1882+38124587213280*p^127*q^1884+142376135071454*p^125*q^ 1886+229342012546704*p^123*q^1888+139231981653645*p^121*q^1890+40025750670708*p ^119*q^1892+7705689725447*p^117*q^1894+1202247319980*p^115*q^1896+163246548289* p^113*q^1898+19280593136*p^111*q^1900+2033616272*p^109*q^1902+180586464*p^107*q ^1904+9751532*p^105*q^1906+943410*p^103*q^1908+3638*p^101*q^1910+340*p^99*q^ 1912+4*p^146*q^1864+1492*p^144*q^1866+343154*p^142*q^1868+16492182*p^140*q^1870 +256710172*p^138*q^1872+2790031940*p^136*q^1874+29297627828*p^134*q^1876+ 269415229380*p^132*q^1878+2234019864924*p^130*q^1880+15618746413394*p^128*q^ 1882+77654816779340*p^126*q^1884+203456540677834*p^124*q^1886+203833176625115*p ^122*q^1888+83115878499220*p^120*q^1890+18999165155745*p^118*q^1892+ 3263283033866*p^116*q^1894+474338961263*p^114*q^1896+60275528204*p^112*q^1898+ 6681753645*p^110*q^1900+665795872*p^108*q^1902+48094762*p^106*q^1904+2017622*p^ 104*q^1906+157980*p^102*q^1908+536*p^100*q^1910+8*p^98*q^1912+72*p^145*q^1864+ 10824*p^143*q^1866+2561148*p^141*q^1868+69027911*p^139*q^1870+760897768*p^137*q ^1872+8792848808*p^135*q^1874+85529277976*p^133*q^1876+750286229005*p^131*q^ 1878+5821144570670*p^129*q^1880+35641667947193*p^127*q^1882+136900331098688*p^ 125*q^1884+232717604500872*p^123*q^1886+146996451250202*p^121*q^1888+ 43610726744490*p^119*q^1890+8465336851340*p^117*q^1892+1334125623579*p^115*q^ 1894+181571706238*p^113*q^1896+21632673829*p^111*q^1898+2272283648*p^109*q^1900 +212334122*p^107*q^1902+12392128*p^105*q^1904+906688*p^103*q^1906+15968*p^101*q ^1908+1020*p^99*q^1910+4800*p^144*q^1864+243312*p^142*q^1866+14595233*p^140*q^ 1868+231113442*p^138*q^1870+2472019416*p^136*q^1872+26385641062*p^134*q^1874+ 243734215136*p^132*q^1876+2038265717846*p^130*q^1878+14382424100788*p^128*q^ 1880+73552616666982*p^126*q^1882+199934528152527*p^124*q^1884+211662151175950*p ^122*q^1886+89121674491813*p^120*q^1888+20851362115400*p^118*q^1890+ 3600003619068*p^116*q^1892+527620514624*p^114*q^1894+67308242932*p^112*q^1896+ 7487091352*p^110*q^1898+751497421*p^108*q^1900+56676862*p^106*q^1902+2221090*p^ 104*q^1904+249268*p^102*q^1906+120*p^100*q^1908+8*p^98*q^1910+72*p^145*q^1862+ 13480*p^143*q^1864+1973976*p^141*q^1866+56772244*p^139*q^1868+689947080*p^137*q ^1870+7855063048*p^135*q^1872+77251032691*p^133*q^1874+679737724352*p^131*q^ 1876+5337178647188*p^129*q^1878+33118931829872*p^127*q^1880+132005086048681*p^ 125*q^1882+234305023657604*p^123*q^1884+155723649642199*p^121*q^1886+ 47276239039288*p^119*q^1888+9331992402175*p^117*q^1890+1474387130470*p^115*q^ 1892+202349113891*p^113*q^1894+24129438804*p^111*q^1896+2547369210*p^109*q^1898 +239593912*p^107*q^1900+13875716*p^105*q^1902+669694*p^103*q^1904+26134*p^101*q ^1906+158*p^99*q^1908+2032*p^144*q^1862+115818*p^142*q^1864+11220762*p^140*q^ 1866+206567488*p^138*q^1868+2196695042*p^136*q^1870+23699619573*p^134*q^1872+ 220893682402*p^132*q^1874+1852986492683*p^130*q^1876+13286860212680*p^128*q^ 1878+69231065083944*p^126*q^1880+197109539976966*p^124*q^1882+218131987131003*p ^122*q^1884+95848851101666*p^120*q^1886+22770742142699*p^118*q^1888+ 3979692331190*p^116*q^1890+584932446122*p^114*q^1892+75092998630*p^112*q^1894+ 8391836879*p^110*q^1896+835405758*p^108*q^1898+66655730*p^106*q^1900+3190452*p^ 104*q^1902+350300*p^102*q^1904+1144*p^100*q^1906+136*p^98*q^1908+8*p^145*q^1860 +24176*p^143*q^1862+1533122*p^141*q^1864+51433767*p^139*q^1866+631514258*p^137* q^1868+7040917747*p^135*q^1870+69812017524*p^133*q^1872+618119826525*p^131*q^ 1874+4876578225288*p^129*q^1876+30884938214677*p^127*q^1878+126362527536830*p^ 125*q^1880+236565845493135*p^123*q^1882+163770668293332*p^121*q^1884+ 51419306002159*p^119*q^1886+10244796525076*p^117*q^1888+1635353702850*p^115*q^ 1890+224908062254*p^113*q^1892+27072391302*p^111*q^1894+2846285572*p^109*q^1896 +273469572*p^107*q^1898+16869884*p^105*q^1900+512318*p^103*q^1902+38076*p^101*q ^1904+768*p^144*q^1860+103016*p^142*q^1862+9232708*p^140*q^1864+176754966*p^138 *q^1866+1948940924*p^136*q^1868+21337428066*p^134*q^1870+199563527165*p^132*q^ 1872+1688307721376*p^130*q^1874+12213988863208*p^128*q^1876+65350276198992*p^ 126*q^1878+192721036134662*p^124*q^1880+225513215158776*p^122*q^1882+ 102476660385939*p^120*q^1884+24956242496458*p^118*q^1886+4387286106989*p^116*q^ 1888+650042416220*p^114*q^1890+83792341482*p^112*q^1892+9399609652*p^110*q^1894 +941119036*p^108*q^1896+78903854*p^106*q^1898+3681158*p^104*q^1900+290922*p^102 *q^1902+3492*p^100*q^1904+28*p^98*q^1906+14*p^145*q^1858+20760*p^143*q^1860+ 948320*p^141*q^1862+42522912*p^139*q^1864+572895619*p^137*q^1866+6280155216*p^ 135*q^1868+62914285540*p^133*q^1870+559844551596*p^131*q^1872+4465650180510*p^ 129*q^1874+28637342087612*p^127*q^1876+121331481822249*p^125*q^1878+ 236925752783566*p^123*q^1880+172852294964516*p^121*q^1882+55622964245076*p^119* q^1884+11282633679783*p^117*q^1886+1806492480734*p^115*q^1888+250474589344*p^ 113*q^1890+30163597428*p^111*q^1892+3183376826*p^109*q^1894+303587592*p^107*q^ 1896+19095652*p^105*q^1898+649788*p^103*q^1900+91314*p^101*q^1902+32*p^99*q^ 1904+8*p^97*q^1906+444*p^144*q^1858+111094*p^142*q^1860+7432338*p^140*q^1862+ 157906632*p^138*q^1864+1755656114*p^136*q^1866+19153400720*p^134*q^1868+ 180988474418*p^132*q^1870+1533905902071*p^130*q^1872+11261614469128*p^128*q^ 1874+61326157305802*p^126*q^1876+189020237121072*p^124*q^1878+231272083782846*p ^122*q^1880+109928423049236*p^120*q^1882+27214708775683*p^118*q^1884+ 4847977245458*p^116*q^1886+720423701738*p^114*q^1888+93513513760*p^112*q^1890+ 10561363772*p^110*q^1892+1060416166*p^108*q^1894+92667612*p^106*q^1896+4727212* p^104*q^1898+200088*p^102*q^1900+2780*p^100*q^1902+10*p^145*q^1856+8216*p^143*q ^1858+678708*p^141*q^1860+36067108*p^139*q^1862+510393538*p^137*q^1864+ 5592281494*p^135*q^1866+56745887164*p^133*q^1868+508316513209*p^131*q^1870+ 4073962249520*p^129*q^1872+26637448606269*p^127*q^1874+115693870727168*p^125*q^ 1876+237973302243814*p^123*q^1878+181060108963116*p^121*q^1880+60383942492436*p ^119*q^1882+12374275521282*p^117*q^1884+2002050731311*p^115*q^1886+278100810564 *p^113*q^1888+33776848110*p^111*q^1890+3552517538*p^109*q^1892+335589880*p^107* q^1894+22900380*p^105*q^1896+830782*p^103*q^1898+103178*p^101*q^1900+308*p^99*q ^1902+2*p^97*q^1904+216*p^144*q^1856+122828*p^142*q^1858+5596770*p^140*q^1860+ 138110514*p^138*q^1862+1579600102*p^136*q^1864+17252166070*p^134*q^1866+ 163479933050*p^132*q^1868+1397283951158*p^130*q^1870+10335854225876*p^128*q^ 1872+57710397147186*p^126*q^1874+183952306438081*p^124*q^1876+237913436023432*p ^122*q^1878+117153397230436*p^120*q^1880+29792044728290*p^118*q^1882+ 5338336466686*p^116*q^1884+800102952186*p^114*q^1886+104278433965*p^112*q^1888+ 11831545880*p^110*q^1890+1186860602*p^108*q^1892+108313224*p^106*q^1894+5419540 *p^104*q^1896+122240*p^102*q^1898+14256*p^100*q^1900+32*p^145*q^1854+6744*p^143 *q^1856+583608*p^141*q^1858+30181196*p^139*q^1860+454452788*p^137*q^1862+ 4982323000*p^135*q^1864+51111248080*p^133*q^1866+460281181464*p^131*q^1868+ 3725658976292*p^129*q^1870+24643859908716*p^127*q^1872+110609974555889*p^125*q^ 1874+237139452757110*p^123*q^1876+190318206039768*p^121*q^1878+65184474248386*p ^119*q^1880+13618692950880*p^117*q^1882+2211462768434*p^115*q^1884+309770706657 *p^113*q^1886+37695337578*p^111*q^1888+3997015118*p^109*q^1890+382004546*p^107* q^1892+27353454*p^105*q^1894+1126260*p^103*q^1896+97098*p^101*q^1898+68*p^99*q^ 1900+212*p^144*q^1854+73890*p^142*q^1856+3914970*p^140*q^1858+120048698*p^138*q ^1860+1423005298*p^136*q^1862+15456684355*p^134*q^1864+148012083028*p^132*q^ 1866+1267983175435*p^130*q^1868+9514085368490*p^128*q^1870+53990484504652*p^126 *q^1872+179539466293766*p^124*q^1874+242855759768975*p^122*q^1876+ 125279520257892*p^120*q^1878+32437105739415*p^118*q^1880+5894978535276*p^116*q^ 1882+885386060912*p^114*q^1884+116141946854*p^112*q^1886+13225180486*p^110*q^ 1888+1321358576*p^108*q^1890+117644994*p^106*q^1892+6130548*p^104*q^1894+149226 *p^102*q^1896+23712*p^100*q^1898+12*p^98*q^1900+8*p^145*q^1852+2330*p^143*q^ 1854+555516*p^141*q^1856+24934029*p^139*q^1858+405782224*p^137*q^1860+ 4457802566*p^135*q^1862+46037620106*p^133*q^1864+417856603920*p^131*q^1866+ 3395621370930*p^129*q^1868+22876873097241*p^127*q^1870+105064107169882*p^125*q^ 1872+236923456681608*p^123*q^1874+198553467358892*p^121*q^1876+70601081535132*p ^119*q^1878+14919476940764*p^117*q^1880+2449670489604*p^115*q^1882+343947574788 *p^113*q^1884+42237778691*p^111*q^1886+4489199624*p^109*q^1888+427586414*p^107* q^1890+34533826*p^105*q^1892+1493278*p^103*q^1894+46716*p^101*q^1896+1128*p^99* q^1898+480*p^144*q^1852+57456*p^142*q^1854+3173171*p^140*q^1856+105152656*p^138 *q^1858+1276304866*p^136*q^1860+13888437766*p^134*q^1862+133682879476*p^132*q^ 1864+1154350655526*p^130*q^1866+8717233472242*p^128*q^1868+50665172606780*p^126 *q^1870+173873802833406*p^124*q^1872+248572879224790*p^122*q^1874+ 133113765145326*p^120*q^1876+35456819909484*p^118*q^1878+6487612391698*p^116*q^ 1880+983402647416*p^114*q^1882+129393436202*p^112*q^1884+14828953056*p^110*q^ 1886+1478680058*p^108*q^1888+135664742*p^106*q^1890+7218190*p^104*q^1892+203164 *p^102*q^1894+32544*p^100*q^1896+58*p^145*q^1850+2556*p^143*q^1852+473652*p^141 *q^1854+19043354*p^139*q^1856+356474248*p^137*q^1858+3976318116*p^135*q^1860+ 41426540829*p^133*q^1862+377949981014*p^131*q^1864+3100873215577*p^129*q^1866+ 21115939834270*p^127*q^1868+100078738440110*p^125*q^1870+234863657680730*p^123* q^1872+207821551547021*p^121*q^1874+76049681078382*p^119*q^1876+16401603042789* p^117*q^1878+2703419272670*p^115*q^1880+382490238526*p^113*q^1882+47104074914*p ^111*q^1884+5031050502*p^109*q^1886+481170448*p^107*q^1888+38711598*p^105*q^ 1890+1595368*p^103*q^1892+21520*p^101*q^1894+3452*p^99*q^1896+176*p^144*q^1850+ 26840*p^142*q^1852+2482360*p^140*q^1854+90407867*p^138*q^1856+1147206202*p^136* q^1858+12421213500*p^134*q^1860+120909831188*p^132*q^1862+1047229875753*p^130*q ^1864+8011934122192*p^128*q^1866+47267885192118*p^126*q^1868+168939436866604*p^ 124*q^1870+252444823099676*p^122*q^1872+141864574771336*p^120*q^1874+ 38549857483561*p^118*q^1876+7158067864818*p^116*q^1878+1087604156624*p^114*q^ 1880+144226562010*p^112*q^1882+16557585842*p^110*q^1884+1657608746*p^108*q^1886 +148621668*p^106*q^1888+9213638*p^104*q^1890+352164*p^102*q^1892+26396*p^100*q^ 1894+28*p^98*q^1896+8*p^145*q^1848+3472*p^143*q^1850+360892*p^141*q^1852+ 15274532*p^139*q^1854+321175650*p^137*q^1856+3573554622*p^135*q^1858+ 37357162346*p^133*q^1860+343069073751*p^131*q^1862+2823759493722*p^129*q^1864+ 19560212267180*p^127*q^1866+94691978544204*p^125*q^1868+233478381525196*p^123*q ^1870+215843429447332*p^121*q^1872+82178380324710*p^119*q^1874+17953099367514*p ^117*q^1876+2993106755971*p^115*q^1878+424675619348*p^113*q^1880+52693014450*p^ 111*q^1882+5675999632*p^109*q^1884+539388660*p^107*q^1886+46586478*p^105*q^1888 +1917756*p^103*q^1890+25212*p^101*q^1892+6010*p^99*q^1894+994*p^144*q^1848+ 20818*p^142*q^1850+2320878*p^140*q^1852+75844940*p^138*q^1854+1014754974*p^136* q^1856+11120620750*p^134*q^1858+108896280129*p^132*q^1860+952107198076*p^130*q^ 1862+7329129303400*p^128*q^1864+44229326008326*p^126*q^1866+162843951076338*p^ 124*q^1868+257153332612884*p^122*q^1870+150213493977499*p^120*q^1872+ 42068560316502*p^118*q^1874+7871736557529*p^116*q^1876+1207272194396*p^114*q^ 1878+160376186273*p^112*q^1880+18577558334*p^110*q^1882+1843218256*p^108*q^1884 +167641888*p^106*q^1886+10953690*p^104*q^1888+377758*p^102*q^1890+5168*p^100*q^ 1892+308*p^98*q^1894+4*p^145*q^1846+2318*p^143*q^1848+233284*p^141*q^1850+ 11665854*p^139*q^1852+282238025*p^137*q^1854+3204758192*p^135*q^1856+ 33618047994*p^133*q^1858+310413754704*p^131*q^1860+2576836334449*p^129*q^1862+ 18024942093494*p^127*q^1864+89871322241280*p^125*q^1866+230241814374418*p^123*q ^1868+224961099488340*p^121*q^1870+88283581552258*p^119*q^1872+19713497862212*p ^117*q^1874+3301005232860*p^115*q^1876+471769548652*p^113*q^1878+58779241508*p^ 111*q^1880+6340043806*p^109*q^1882+607309334*p^107*q^1884+51973860*p^105*q^1886 +2176674*p^103*q^1888+63980*p^101*q^1890+10220*p^99*q^1892+264*p^144*q^1846+ 20762*p^142*q^1848+1882462*p^140*q^1850+62354018*p^138*q^1852+912444724*p^136*q ^1854+9946212212*p^134*q^1856+98427538922*p^132*q^1858+863128945061*p^130*q^ 1860+6724813156076*p^128*q^1862+41157363618014*p^126*q^1864+157480624315048*p^ 124*q^1866+259793492418514*p^122*q^1868+159578990446614*p^120*q^1870+ 45660837137202*p^118*q^1872+8680827740066*p^116*q^1874+1335399310833*p^114*q^ 1876+178900487792*p^112*q^1878+20762966156*p^110*q^1880+2093939092*p^108*q^1882 +188677316*p^106*q^1884+13777008*p^104*q^1886+508072*p^102*q^1888+1968*p^100*q^ 1890+512*p^98*q^1892+7480*p^143*q^1846+145458*p^141*q^1848+9962414*p^139*q^1850 +251621522*p^137*q^1852+2867406490*p^135*q^1854+30227523448*p^133*q^1856+ 281375803734*p^131*q^1858+2343905668816*p^129*q^1860+16660760522981*p^127*q^ 1862+84756727818092*p^125*q^1864+227703650533306*p^123*q^1866+232591460868130*p ^121*q^1868+95173369623918*p^119*q^1870+21549532046480*p^117*q^1872+ 3651157964932*p^115*q^1874+523013480590*p^113*q^1876+65565644630*p^111*q^1878+ 7111159138*p^109*q^1880+664867026*p^107*q^1882+56908978*p^105*q^1884+2621646*p^ 103*q^1886+74706*p^101*q^1888+3136*p^99*q^1890+12*p^97*q^1892+116*p^144*q^1844+ 17724*p^142*q^1846+1440672*p^140*q^1848+50436196*p^138*q^1850+809670265*p^136*q ^1852+8922591036*p^134*q^1854+88714517105*p^132*q^1856+784641234232*p^130*q^ 1858+6144075055211*p^128*q^1860+38412070269374*p^126*q^1862+151155965295967*p^ 124*q^1864+263255006902684*p^122*q^1866+168317917961668*p^120*q^1868+ 49752384424400*p^118*q^1870+9536713493080*p^116*q^1872+1481585244318*p^114*q^ 1874+198950932881*p^112*q^1876+23324177692*p^110*q^1878+2351825288*p^108*q^1880 +217598136*p^106*q^1882+17321072*p^104*q^1884+553880*p^102*q^1886+8016*p^100*q^ 1888+2232*p^98*q^1890+4316*p^143*q^1844+132216*p^141*q^1846+8568846*p^139*q^ 1848+216360516*p^137*q^1850+2561870848*p^135*q^1852+27169771807*p^133*q^1854+ 254256626026*p^131*q^1856+2136741146255*p^129*q^1858+15323070084588*p^127*q^ 1860+80147431581334*p^125*q^1862+223451681753480*p^123*q^1864+241288989140714*p ^121*q^1866+101981556191334*p^119*q^1868+23642179229008*p^117*q^1870+ 4025117588670*p^115*q^1872+581241837120*p^113*q^1874+73113977558*p^111*q^1876+ 7954988608*p^109*q^1878+747371798*p^107*q^1880+63259148*p^105*q^1882+3195632*p^ 103*q^1884+106982*p^101*q^1886+80*p^99*q^1888+14*p^97*q^1890+40*p^144*q^1842+ 34852*p^142*q^1844+946784*p^140*q^1846+40653422*p^138*q^1848+731851442*p^136*q^ 1850+7982918020*p^134*q^1852+80099152824*p^132*q^1854+710926477672*p^130*q^1856 +5629973575076*p^128*q^1858+35654682064309*p^126*q^1860+145524230169616*p^124*q ^1862+264657286512596*p^122*q^1864+178143545962626*p^120*q^1866+53890594052641* p^118*q^1868+10508502189614*p^116*q^1870+1636730871436*p^114*q^1872+ 221383814158*p^112*q^1874+26009221426*p^110*q^1876+2652092972*p^108*q^1878+ 240127820*p^106*q^1880+19035324*p^104*q^1882+571514*p^102*q^1884+12536*p^100*q^ 1886+1504*p^98*q^1888+1864*p^143*q^1842+98144*p^141*q^1844+6963954*p^139*q^1846 +185240916*p^137*q^1848+2281268839*p^135*q^1850+24400607344*p^133*q^1852+ 230295831990*p^131*q^1854+1942124729094*p^129*q^1856+14139346061605*p^127*q^ 1858+75336946478966*p^125*q^1860+219852773999330*p^123*q^1862+248343731977928*p ^121*q^1864+109628386460876*p^119*q^1866+25811931843596*p^117*q^1868+ 4450723197074*p^115*q^1870+644420464906*p^113*q^1872+81680791797*p^111*q^1874+ 8941854170*p^109*q^1876+837091467*p^107*q^1878+72299034*p^105*q^1880+4763130*p^ 103*q^1882+155596*p^101*q^1884+576*p^99*q^1886+236*p^97*q^1888+4*p^144*q^1840+ 36922*p^142*q^1842+794194*p^140*q^1844+35198756*p^138*q^1846+655886105*p^136*q^ 1848+7175382674*p^134*q^1850+72179455086*p^132*q^1852+645955050270*p^130*q^1854 +5136979043988*p^128*q^1856+33197344300300*p^126*q^1858+139081010189977*p^124*q ^1860+266762536349436*p^122*q^1862+187227963161266*p^120*q^1864+58606958226098* p^118*q^1866+11534755364831*p^116*q^1868+1815050903530*p^114*q^1870+ 245962809708*p^112*q^1872+29154959384*p^110*q^1874+2971997948*p^108*q^1876+ 267314572*p^106*q^1878+21611046*p^104*q^1880+603648*p^102*q^1882+14176*p^100*q^ 1884+4*p^145*q^1838+1128*p^143*q^1840+131710*p^141*q^1842+5237960*p^139*q^1844+ 152776754*p^137*q^1846+2031888920*p^135*q^1848+21884254124*p^133*q^1850+ 207823062426*p^131*q^1852+1768556677740*p^129*q^1854+12979092234690*p^127*q^ 1856+71019058957200*p^125*q^1858+214655481648932*p^123*q^1860+256408162893881*p ^121*q^1862+117149468301594*p^119*q^1864+28281110488531*p^117*q^1866+ 4902456773530*p^115*q^1868+715778539111*p^113*q^1870+90994828994*p^111*q^1872+ 10013925358*p^109*q^1874+945170410*p^107*q^1876+83411582*p^105*q^1878+5645774*p ^103*q^1880+130614*p^101*q^1882+1764*p^99*q^1884+424*p^97*q^1886+19458*p^142*q^ 1840+545392*p^140*q^1842+28985480*p^138*q^1844+581413064*p^136*q^1846+ 6407669127*p^134*q^1848+65128231134*p^132*q^1850+585058138049*p^130*q^1852+ 4701512138814*p^128*q^1854+30742882807946*p^126*q^1856+133359769819164*p^124*q^ 1858+266789929178643*p^122*q^1860+197365968736694*p^120*q^1862+63369510433114*p ^118*q^1864+12697776595060*p^116*q^1866+2003997430801*p^114*q^1868+273622676468 *p^112*q^1870+32494896072*p^110*q^1872+3334237540*p^108*q^1874+295180742*p^106* q^1876+22744710*p^104*q^1878+978622*p^102*q^1880+36224*p^100*q^1882+16*p^98*q^ 1884+8*p^96*q^1886+212*p^143*q^1838+187396*p^141*q^1840+4176314*p^139*q^1842+ 131877664*p^137*q^1844+1840705003*p^135*q^1846+19671927228*p^133*q^1848+ 188253196063*p^131*q^1850+1606516376556*p^129*q^1852+11955103335278*p^127*q^ 1854+66537603550794*p^125*q^1856+210194394100699*p^123*q^1858+262596712611474*p ^121*q^1860+125566619386394*p^119*q^1862+30839866317584*p^117*q^1864+ 5417348823367*p^115*q^1866+793334419836*p^113*q^1868+101604428981*p^111*q^1870+ 11262119614*p^109*q^1872+1075975400*p^107*q^1874+94015554*p^105*q^1876+7198542* p^103*q^1878+116476*p^101*q^1880+952*p^99*q^1882+72*p^144*q^1836+14368*p^142*q^ 1838+518393*p^140*q^1840+23886732*p^138*q^1842+504949458*p^136*q^1844+ 5698039988*p^134*q^1846+58589981576*p^132*q^1848+530685057584*p^130*q^1850+ 4284804376241*p^128*q^1852+28555314271392*p^126*q^1854+126924421484072*p^124*q^ 1856+267564626837310*p^122*q^1858+206587876347443*p^120*q^1860+68773035676214*p ^118*q^1862+13926685150371*p^116*q^1864+2220998239552*p^114*q^1866+303761708121 *p^112*q^1868+36372650896*p^110*q^1870+3734406580*p^108*q^1872+324256006*p^106* q^1874+26672976*p^104*q^1876+1311342*p^102*q^1878+33116*p^100*q^1880+172*p^98*q ^1882+64*p^96*q^1884+80*p^143*q^1836+136618*p^141*q^1838+3091244*p^139*q^1840+ 109662456*p^137*q^1842+1650547640*p^135*q^1844+17681846975*p^133*q^1846+ 169773407066*p^131*q^1848+1462335940171*p^129*q^1850+10957905554118*p^127*q^ 1852+62531700613732*p^125*q^1854+204210669360718*p^123*q^1856+269864483674832*p ^121*q^1858+133748808093464*p^119*q^1860+33739782330600*p^117*q^1862+ 5963540578812*p^115*q^1864+880268447040*p^113*q^1866+113041886776*p^111*q^1868+ 12605444055*p^109*q^1870+1206722986*p^107*q^1872+106050067*p^105*q^1874+7409208 *p^103*q^1876+146780*p^101*q^1878+5416*p^99*q^1880+8*p^144*q^1834+5020*p^142*q^ 1836+678610*p^140*q^1838+19208753*p^138*q^1840+441323690*p^136*q^1842+ 5100748907*p^134*q^1844+52801604136*p^132*q^1846+480615009020*p^130*q^1848+ 3916610058774*p^128*q^1850+26389526071539*p^126*q^1852+121208209885176*p^124*q^ 1854+266166101327908*p^122*q^1856+216931300494686*p^120*q^1858+74199763796406*p ^118*q^1860+15320302008874*p^116*q^1862+2451643006290*p^114*q^1864+338220372972 *p^112*q^1866+40626163537*p^110*q^1868+4206554854*p^108*q^1870+371257170*p^106* q^1872+30572858*p^104*q^1874+1957458*p^102*q^1876+26084*p^100*q^1878+24*p^98*q^ 1880+610*p^143*q^1834+112136*p^141*q^1836+2380962*p^139*q^1838+93308546*p^137*q ^1840+1480988275*p^135*q^1842+15822768506*p^133*q^1844+153648093147*p^131*q^ 1846+1326747523732*p^129*q^1848+10074700704129*p^127*q^1850+58424289003466*p^ 125*q^1852+198985143551372*p^123*q^1854+275004798295630*p^121*q^1856+ 142948228638288*p^119*q^1858+36734500943822*p^117*q^1860+6583824955774*p^115*q^ 1862+974689264458*p^113*q^1864+125897563002*p^111*q^1866+14095042164*p^109*q^ 1868+1358199194*p^107*q^1870+112940070*p^105*q^1872+8148624*p^103*q^1874+225922 *p^101*q^1876+7748*p^99*q^1878+8*p^97*q^1880+4*p^95*q^1882+2080*p^142*q^1834+ 660890*p^140*q^1836+15362308*p^138*q^1838+379738835*p^136*q^1840+4569001800*p^ 134*q^1842+47522815839*p^132*q^1844+435637698046*p^130*q^1846+3566420722120*p^ 128*q^1848+24458438875700*p^126*q^1850+114938549727221*p^124*q^1852+ 265546163663104*p^122*q^1854+226071592604935*p^120*q^1856+80358147315058*p^118* q^1858+16783444322534*p^116*q^1860+2715507318480*p^114*q^1862+375413815935*p^ 112*q^1864+45495143072*p^110*q^1866+4733041931*p^108*q^1868+416502376*p^106*q^ 1870+36285034*p^104*q^1872+2368644*p^102*q^1874+19680*p^100*q^1876+408*p^98*q^ 1878+356*p^143*q^1832+63444*p^141*q^1834+2367098*p^139*q^1836+77818554*p^137*q^ 1838+1318796638*p^135*q^1840+14177107475*p^133*q^1842+138466135590*p^131*q^1844 +1207170163504*p^129*q^1846+9220319009492*p^127*q^1848+54736181951358*p^125*q^ 1850+192442793244640*p^123*q^1852+281165121509625*p^121*q^1854+151761310394138* p^119*q^1856+40145304794836*p^117*q^1858+7242751649130*p^115*q^1860+ 1081549014436*p^113*q^1862+140081537866*p^111*q^1864+15790242523*p^109*q^1866+ 1523567654*p^107*q^1868+127678542*p^105*q^1870+9259370*p^103*q^1872+374170*p^ 101*q^1874+5428*p^99*q^1876+32*p^144*q^1830+3632*p^142*q^1832+603100*p^140*q^ 1834+11569462*p^138*q^1836+324297838*p^136*q^1838+4096448721*p^134*q^1840+ 42779349108*p^132*q^1842+394119715860*p^130*q^1844+3255566896410*p^128*q^1846+ 22553450613905*p^126*q^1848+109330445451576*p^124*q^1850+262854014548172*p^122* q^1852+236384250606824*p^120*q^1854+86492158038111*p^118*q^1856+18444551160474* p^116*q^1858+2995285467212*p^114*q^1860+417363599944*p^112*q^1862+50676901294*p ^110*q^1864+5303823302*p^108*q^1866+473604477*p^106*q^1868+39184524*p^104*q^ 1870+2437924*p^102*q^1872+28352*p^100*q^1874+1360*p^98*q^1876+28*p^143*q^1830+ 27828*p^141*q^1832+2422820*p^139*q^1834+64564394*p^137*q^1836+1177555309*p^135* q^1838+12675109228*p^133*q^1840+125252185127*p^131*q^1842+1094593894070*p^129*q ^1844+8467524078779*p^127*q^1846+51003727179822*p^125*q^1848+186629364798999*p^ 123*q^1850+285138470561840*p^121*q^1852+161633581307131*p^119*q^1854+ 43631026509374*p^117*q^1856+7992872042998*p^115*q^1858+1196484254662*p^113*q^ 1860+156123179290*p^111*q^1862+17684988274*p^109*q^1864+1723796694*p^107*q^1866 +138979218*p^105*q^1868+11055496*p^103*q^1870+628290*p^101*q^1872+3848*p^99*q^ 1874+8*p^97*q^1876+4528*p^142*q^1830+470298*p^140*q^1832+9832814*p^138*q^1834+ 280821511*p^136*q^1836+3682601218*p^134*q^1838+38468301006*p^132*q^1840+ 357138866510*p^130*q^1842+2962156516889*p^128*q^1844+20859251067760*p^126*q^ 1846+103284978069275*p^124*q^1848+260836847113726*p^122*q^1850+245302231507667* p^120*q^1852+93449115859892*p^118*q^1854+20188219450989*p^116*q^1856+ 3316314277282*p^114*q^1858+463295823262*p^112*q^1860+56677517974*p^110*q^1862+ 5965341337*p^108*q^1864+534954062*p^106*q^1866+45365824*p^104*q^1868+2861842*p^ 102*q^1870+44648*p^100*q^1872+828*p^98*q^1874+544*p^143*q^1828+23586*p^141*q^ 1830+2440348*p^139*q^1832+51409328*p^137*q^1834+1024591216*p^135*q^1836+ 11322091992*p^133*q^1838+112757763244*p^131*q^1840+994588926979*p^129*q^1842+ 7735153135796*p^127*q^1844+47663899888620*p^125*q^1846+179656202359188*p^123*q^ 1848+290049391582272*p^121*q^1850+171045642843644*p^119*q^1852+47601544692832*p ^117*q^1854+8783769544380*p^115*q^1856+1327054879414*p^113*q^1858+173464932984* p^111*q^1860+19792384213*p^109*q^1862+1923237782*p^107*q^1864+155557994*p^105*q ^1866+12360538*p^103*q^1868+641008*p^101*q^1870+2376*p^99*q^1872+152*p^97*q^ 1874+936*p^142*q^1828+257988*p^140*q^1830+8491758*p^138*q^1832+237003150*p^136* q^1834+3322350987*p^134*q^1836+34626840422*p^132*q^1838+322869578227*p^130*q^ 1840+2702101508332*p^128*q^1842+19201574779100*p^126*q^1844+97904495897976*p^ 124*q^1846+256859938421912*p^122*q^1848+255314207414166*p^120*q^1850+ 100341025479237*p^118*q^1852+22159454503570*p^116*q^1854+3655692467813*p^114*q^ 1856+514669974468*p^112*q^1858+63108117413*p^110*q^1860+6683529720*p^108*q^1862 +608756706*p^106*q^1864+48969410*p^104*q^1866+3114574*p^102*q^1868+122862*p^100 *q^1870+856*p^98*q^1872+56*p^143*q^1826+31264*p^141*q^1828+2286544*p^139*q^1830 +42723542*p^137*q^1832+907010416*p^135*q^1834+10132019084*p^133*q^1836+ 101903318531*p^131*q^1838+901760291674*p^129*q^1840+7093087605324*p^127*q^1842+ 44285876630080*p^125*q^1844+173473448395472*p^123*q^1846+292602069425888*p^121* q^1848+181533149683864*p^119*q^1850+51662289609190*p^117*q^1852+9688098069264*p ^115*q^1854+1467824935124*p^113*q^1856+193536356200*p^111*q^1858+22179150194*p^ 109*q^1860+2181422194*p^107*q^1862+177508626*p^105*q^1864+14863740*p^103*q^1866 +866304*p^101*q^1868+2968*p^99*q^1870+80*p^97*q^1872+8*p^144*q^1824+4256*p^142* q^1826+180292*p^140*q^1828+8435342*p^138*q^1830+199099441*p^136*q^1832+ 2970627774*p^134*q^1834+31029391577*p^132*q^1836+292303778550*p^130*q^1838+ 2455343623544*p^128*q^1840+17722621887928*p^126*q^1842+92170043167043*p^124*q^ 1844+253640256626264*p^122*q^1846+263725279641234*p^120*q^1848+108127346580374* p^118*q^1850+24226509732376*p^116*q^1852+4043423226440*p^114*q^1854+ 570613126845*p^112*q^1856+70356816368*p^110*q^1858+7487512969*p^108*q^1860+ 679414026*p^106*q^1862+51091358*p^104*q^1864+3522918*p^102*q^1866+133008*p^100* q^1868+104*p^98*q^1870+8*p^96*q^1872+14814*p^141*q^1826+1660646*p^139*q^1828+ 33993674*p^137*q^1830+784304682*p^135*q^1832+9092371660*p^133*q^1834+ 91748083442*p^131*q^1836+818786173065*p^129*q^1838+6474232335192*p^127*q^1840+ 41280147704777*p^125*q^1842+166234588283806*p^123*q^1844+296159312954139*p^121* q^1846+191362586642020*p^119*q^1848+56260762814053*p^117*q^1850+10640123792890* p^115*q^1852+1627406575257*p^113*q^1854+214942682876*p^111*q^1856+24862510162*p ^109*q^1858+2445538678*p^107*q^1860+203910151*p^105*q^1862+17902118*p^103*q^ 1864+907184*p^101*q^1866+15700*p^99*q^1868+124*p^97*q^1870+20*p^144*q^1822+1636 *p^142*q^1824+166772*p^140*q^1826+8364986*p^138*q^1828+167262462*p^136*q^1830+ 2662647270*p^134*q^1832+27840782364*p^132*q^1834+264112052866*p^130*q^1836+ 2237931901666*p^128*q^1838+16283797025945*p^126*q^1840+87060886092206*p^124*q^ 1842+248486725674158*p^122*q^1844+273291938055908*p^120*q^1846+115786386780326* p^118*q^1848+26566415151324*p^116*q^1850+4456270417241*p^114*q^1852+ 633696189882*p^112*q^1854+78440440996*p^110*q^1856+8384038720*p^108*q^1858+ 769116678*p^106*q^1860+56773646*p^104*q^1862+3974894*p^102*q^1864+207128*p^100* q^1866+90*p^98*q^1868+4*p^96*q^1870+152*p^143*q^1822+22448*p^141*q^1824+1195518 *p^139*q^1826+29650456*p^137*q^1828+679402162*p^135*q^1830+8167631234*p^133*q^ 1832+82885718777*p^131*q^1834+741663646638*p^129*q^1836+5927280737339*p^127*q^ 1838+38269683616524*p^125*q^1840+159809303330196*p^123*q^1842+297210975545418*p ^121*q^1844+202379842897788*p^119*q^1846+60937678948778*p^117*q^1848+ 11723236622587*p^115*q^1850+1798187743202*p^113*q^1852+239514431383*p^111*q^ 1854+27717649790*p^109*q^1856+2763908605*p^107*q^1858+231324392*p^105*q^1860+ 18240318*p^103*q^1862+985714*p^101*q^1864+22290*p^99*q^1866+4*p^144*q^1820+168* p^142*q^1822+126504*p^140*q^1824+7427206*p^138*q^1826+138372574*p^136*q^1828+ 2365268028*p^134*q^1830+24900941965*p^132*q^1832+238883138158*p^130*q^1834+ 2032129024233*p^128*q^1836+15003762017086*p^126*q^1838+81707997316372*p^124*q^ 1840+244116028762384*p^122*q^1842+280920408610342*p^120*q^1844+124449215888602* p^118*q^1846+29004744827252*p^116*q^1848+4926643662092*p^114*q^1850+ 702580781926*p^112*q^1852+87483515112*p^110*q^1854+9440047892*p^108*q^1856+ 862270946*p^106*q^1858+63472834*p^104*q^1860+5673308*p^102*q^1862+262830*p^100* q^1864+1072*p^98*q^1866+8*p^96*q^1868+312*p^143*q^1820+17828*p^141*q^1822+ 908518*p^139*q^1824+27893010*p^137*q^1826+582243760*p^135*q^1828+7364368521*p^ 133*q^1830+74580863094*p^131*q^1832+673131241086*p^129*q^1834+5403993217256*p^ 127*q^1836+35577723838742*p^125*q^1838+152520063510512*p^123*q^1840+ 299232872031010*p^121*q^1842+212501901293472*p^119*q^1844+66255359406490*p^117* q^1846+12864424982534*p^115*q^1848+1992905433095*p^113*q^1850+265863633216*p^ 111*q^1852+31037250166*p^109*q^1854+3084955926*p^107*q^1856+263294610*p^105*q^ 1858+19672854*p^103*q^1860+939244*p^101*q^1862+31976*p^99*q^1864+24*p^144*q^ 1818+1304*p^142*q^1820+109364*p^140*q^1822+6061163*p^138*q^1824+112650196*p^136 *q^1826+2089151869*p^134*q^1828+22300696430*p^132*q^1830+215561855744*p^130*q^ 1832+1850352075708*p^128*q^1834+13759565597274*p^126*q^1836+76919940460708*p^ 124*q^1838+238028949455094*p^122*q^1840+289709053248626*p^120*q^1842+ 132872307773757*p^118*q^1844+31770629817956*p^116*q^1846+5425075964461*p^114*q^ 1848+779701415344*p^112*q^1850+97446748748*p^110*q^1852+10565066600*p^108*q^ 1854+976547746*p^106*q^1856+73127494*p^104*q^1858+6335510*p^102*q^1860+277480*p ^100*q^1862+3134*p^98*q^1864+92*p^143*q^1818+4350*p^141*q^1820+741054*p^139*q^ 1822+25805964*p^137*q^1824+500665554*p^135*q^1826+6627293968*p^133*q^1828+ 67256178846*p^131*q^1830+609597909022*p^129*q^1832+4942508119954*p^127*q^1834+ 32911731592062*p^125*q^1836+146001773908290*p^123*q^1838+298792201388834*p^121* q^1840+223831255505812*p^119*q^1842+71607422036896*p^117*q^1844+14164688611493* p^115*q^1846+2200629117590*p^113*q^1848+296020607193*p^111*q^1850+34592210072*p ^109*q^1852+3473500578*p^107*q^1854+296663414*p^105*q^1856+19917180*p^103*q^ 1858+1361612*p^101*q^1860+61724*p^99*q^1862+28*p^97*q^1864+4*p^144*q^1816+2388* p^142*q^1818+116308*p^140*q^1820+4797886*p^138*q^1822+98659182*p^136*q^1824+ 1837528122*p^134*q^1826+20006658026*p^132*q^1828+195058912864*p^130*q^1830+ 1678864214613*p^128*q^1832+12658145061670*p^126*q^1834+71959643149700*p^124*q^ 1836+232649790196498*p^122*q^1838+296412910206248*p^120*q^1840+142378736379912* p^118*q^1842+34643266676587*p^116*q^1844+5995574673800*p^114*q^1846+ 864150827888*p^112*q^1848+108804855530*p^110*q^1850+11889691115*p^108*q^1852+ 1108649770*p^106*q^1854+84423878*p^104*q^1856+7409876*p^102*q^1858+261556*p^100 *q^1860+2524*p^98*q^1862+388*p^143*q^1816+8020*p^141*q^1818+577944*p^139*q^1820 +23594123*p^137*q^1822+417347520*p^135*q^1824+5939833652*p^133*q^1826+ 60268757150*p^131*q^1828+552341227817*p^129*q^1830+4499991521692*p^127*q^1832+ 30527895466063*p^125*q^1834+138778825234452*p^123*q^1836+299237504294818*p^121* q^1838+234115778992890*p^119*q^1840+77696091155301*p^117*q^1842+15526862733032* p^115*q^1844+2437597735636*p^113*q^1846+328292142700*p^111*q^1848+38608064226*p ^109*q^1850+3876299890*p^107*q^1852+329322072*p^105*q^1854+21842932*p^103*q^ 1856+1766504*p^101*q^1858+69368*p^99*q^1860+294*p^97*q^1862+1292*p^142*q^1816+ 50274*p^140*q^1818+3697550*p^138*q^1820+85366538*p^136*q^1822+1606797704*p^134* q^1824+18010301584*p^132*q^1826+176079383419*p^130*q^1828+1528075555834*p^128*q ^1830+11591659178043*p^126*q^1832+67553012974980*p^124*q^1834+225734702399651*p ^122*q^1836+304155493438622*p^120*q^1838+151570067003275*p^118*q^1840+ 37888660893008*p^116*q^1842+6596991352921*p^114*q^1844+958589503404*p^112*q^ 1846+121063444615*p^110*q^1848+13319509872*p^108*q^1850+1245648883*p^106*q^1852 +98571906*p^104*q^1854+7279422*p^102*q^1856+249304*p^100*q^1858+10088*p^98*q^ 1860+116*p^143*q^1814+12588*p^141*q^1816+585004*p^139*q^1818+20695588*p^137*q^ 1820+357461332*p^135*q^1822+5328125366*p^133*q^1824+54228032400*p^131*q^1826+ 499786183284*p^129*q^1828+4110715574285*p^127*q^1830+28174402439212*p^125*q^ 1832+132334118268508*p^123*q^1834+297227455367088*p^121*q^1836+245565410434270* p^119*q^1838+83811536738302*p^117*q^1840+17082885068491*p^115*q^1842+ 2691356385594*p^113*q^1844+365577036878*p^111*q^1846+43140362596*p^109*q^1848+ 4378119734*p^107*q^1850+379628600*p^105*q^1852+24665696*p^103*q^1854+2436582*p^ 101*q^1856+84200*p^99*q^1858+60*p^97*q^1860+2768*p^142*q^1814+48880*p^140*q^ 1816+2962374*p^138*q^1818+78406477*p^136*q^1820+1393146996*p^134*q^1822+ 16173369436*p^132*q^1824+159126031112*p^130*q^1826+1385611331568*p^128*q^1828+ 10646046030004*p^126*q^1830+63006615237346*p^124*q^1832+219630319305880*p^122*q ^1834+309608790492055*p^120*q^1836+161898894520354*p^118*q^1838+41257237940799* p^116*q^1840+7284144603118*p^114*q^1842+1060987254792*p^112*q^1844+134941872914 *p^110*q^1846+14878739672*p^108*q^1848+1395533164*p^106*q^1850+108266878*p^104* q^1852+7120194*p^102*q^1854+364852*p^100*q^1856+12764*p^98*q^1858+12*p^96*q^ 1860+40*p^143*q^1812+10390*p^141*q^1814+367326*p^139*q^1816+16692574*p^137*q^ 1818+300240146*p^135*q^1820+4729947601*p^133*q^1822+48582312476*p^131*q^1824+ 452653103063*p^129*q^1826+3739355319468*p^127*q^1828+26076951606086*p^125*q^ 1830+125295413252066*p^123*q^1832+296163597451033*p^121*q^1834+255728480894744* p^119*q^1836+90720746053431*p^117*q^1838+18711582577698*p^115*q^1840+ 2979329318068*p^113*q^1842+405449927488*p^111*q^1844+48198492692*p^109*q^1846+ 4927247618*p^107*q^1848+428176169*p^105*q^1850+29574054*p^103*q^1852+2815622*p^ 101*q^1854+49864*p^99*q^1856+980*p^97*q^1858+4*p^144*q^1810+1852*p^142*q^1812+ 55068*p^140*q^1814+2666934*p^138*q^1816+72111452*p^136*q^1818+1206630474*p^134* q^1820+14619636150*p^132*q^1822+143446713274*p^130*q^1824+1260125707498*p^128*q ^1826+9735903718067*p^126*q^1828+58977098987554*p^124*q^1830+212065117855831*p^ 122*q^1832+316189196889902*p^120*q^1834+171759652414166*p^118*q^1836+ 45064606508430*p^116*q^1838+8010773407513*p^114*q^1840+1176883686238*p^112*q^ 1842+150085747906*p^110*q^1844+16656135982*p^108*q^1846+1559458860*p^106*q^1848 +125170136*p^104*q^1850+7358714*p^102*q^1852+570220*p^100*q^1854+22496*p^98*q^ 1856+12*p^143*q^1810+12936*p^141*q^1812+293340*p^139*q^1814+13551862*p^137*q^ 1816+259765077*p^135*q^1818+4199316376*p^133*q^1820+43654714070*p^131*q^1822+ 409366797432*p^129*q^1824+3411817509934*p^127*q^1826+24020950276750*p^125*q^ 1828+119010989854766*p^123*q^1830+292641719094548*p^121*q^1832+267131883173739* p^119*q^1834+97626839517398*p^117*q^1836+20561945599283*p^115*q^1838+ 3287557662956*p^113*q^1840+450874296144*p^111*q^1842+53772987802*p^109*q^1844+ 5542370150*p^107*q^1846+489059856*p^105*q^1848+33447407*p^103*q^1850+2657378*p^ 101*q^1852+55020*p^99*q^1854+1600*p^97*q^1856+792*p^142*q^1810+55868*p^140*q^ 1812+2046446*p^138*q^1814+63870003*p^136*q^1816+1036512066*p^134*q^1818+ 13111283074*p^132*q^1820+129454461738*p^130*q^1822+1141639258684*p^128*q^1824+ 8928547931280*p^126*q^1826+54868459460251*p^124*q^1828+205375100035314*p^122*q^ 1830+320182920623391*p^120*q^1832+182884645913250*p^118*q^1834+48981793609435*p ^116*q^1836+8840118016122*p^114*q^1838+1302124780342*p^112*q^1840+167304035934* p^110*q^1842+18611219359*p^108*q^1844+1759421548*p^106*q^1846+139676646*p^104*q ^1848+7953930*p^102*q^1850+915528*p^100*q^1852+15876*p^98*q^1854+38*p^96*q^1856 +100*p^143*q^1808+15172*p^141*q^1810+253514*p^139*q^1812+11547822*p^137*q^1814+ 231378304*p^135*q^1816+3703606806*p^133*q^1818+39264861872*p^131*q^1820+ 370722429841*p^129*q^1822+3101683032742*p^127*q^1824+22186338411677*p^125*q^ 1826+112288774107070*p^123*q^1828+290034884539983*p^121*q^1830+276923068801510* p^119*q^1832+105448634220550*p^117*q^1834+22499682343754*p^115*q^1836+ 3637438558443*p^113*q^1838+499905104282*p^111*q^1840+60070161382*p^109*q^1842+ 6238374824*p^107*q^1844+546871302*p^105*q^1846+39697632*p^103*q^1848+2773144*p^ 101*q^1850+83458*p^99*q^1852+3912*p^97*q^1854+356*p^142*q^1808+54016*p^140*q^ 1810+1567576*p^138*q^1812+54144110*p^136*q^1814+881767814*p^134*q^1816+ 11784932572*p^132*q^1818+116231039840*p^130*q^1820+1036942718862*p^128*q^1822+ 8151826596145*p^126*q^1824+51206145330044*p^124*q^1826+197440728831913*p^122*q^ 1828+325321634919068*p^120*q^1830+193337873602010*p^118*q^1832+53427509168964*p ^116*q^1834+9713532631661*p^114*q^1836+1443799951976*p^112*q^1838+185880630659* p^110*q^1840+20810048034*p^108*q^1842+1964634648*p^106*q^1844+160377416*p^104*q ^1846+9050072*p^102*q^1848+903852*p^100*q^1850+5958*p^98*q^1852+148*p^96*q^1854 +8*p^143*q^1806+8280*p^141*q^1808+237874*p^139*q^1810+9586226*p^137*q^1812+ 209575616*p^135*q^1814+3264918592*p^133*q^1816+35381699649*p^131*q^1818+ 335365584746*p^129*q^1820+2828529272929*p^127*q^1822+20400964599412*p^125*q^ 1824+106280325170095*p^123*q^1826+285186084047488*p^121*q^1828+287936039100110* p^119*q^1830+113166736740442*p^117*q^1832+24701191629387*p^115*q^1834+ 4010114724884*p^113*q^1836+555320627515*p^111*q^1838+66979759266*p^109*q^1840+ 6996736032*p^107*q^1842+618923418*p^105*q^1844+44973120*p^103*q^1846+2386784*p^ 101*q^1848+219014*p^99*q^1850+4932*p^97*q^1852+1058*p^142*q^1806+73500*p^140*q^ 1808+1317422*p^138*q^1810+46237200*p^136*q^1812+763397288*p^134*q^1814+ 10536437380*p^132*q^1816+104827509686*p^130*q^1818+938778526635*p^128*q^1820+ 7465684825024*p^126*q^1822+47514832422438*p^124*q^1824+190293841749412*p^122*q^ 1826+327789499397674*p^120*q^1828+205112446710514*p^118*q^1830+57975729739070*p ^116*q^1832+10715815806298*p^114*q^1834+1597239358990*p^112*q^1836+207398969790 *p^110*q^1838+23297688811*p^108*q^1840+2238527760*p^106*q^1842+183500928*p^104* q^1844+11086930*p^102*q^1846+1133730*p^100*q^1848+6888*p^98*q^1850+346*p^96*q^ 1852+5344*p^141*q^1806+232474*p^139*q^1808+7513139*p^137*q^1810+187132688*p^135 *q^1812+2833847495*p^133*q^1814+31798397418*p^131*q^1816+303106034446*p^129*q^ 1818+2568275578202*p^127*q^1820+18808899428094*p^125*q^1822+99922090636602*p^ 123*q^1824+281206704413942*p^121*q^1826+297185596629106*p^119*q^1828+ 121912844945593*p^117*q^1830+26995038337906*p^115*q^1832+4433927571194*p^113*q^ 1834+615190529036*p^111*q^1836+74625571821*p^109*q^1838+7814394264*p^107*q^1840 +680977438*p^105*q^1842+49510806*p^103*q^1844+2274474*p^101*q^1846+237632*p^99* q^1848+704*p^97*q^1850+8*p^95*q^1852+388*p^142*q^1804+57216*p^140*q^1806+981366 *p^138*q^1808+39324924*p^136*q^1810+662902053*p^134*q^1812+9433693344*p^132*q^ 1814+94206093875*p^130*q^1816+852638235466*p^128*q^1818+6809200392437*p^126*q^ 1820+44239879363520*p^124*q^1822+182148276094940*p^122*q^1824+331262079442700*p ^120*q^1826+216057730779322*p^118*q^1828+63117413447256*p^116*q^1830+ 11762917738362*p^114*q^1832+1770399649080*p^112*q^1834+230127518710*p^110*q^ 1836+26089193334*p^108*q^1838+2524373151*p^106*q^1840+211348508*p^104*q^1842+ 13906854*p^102*q^1844+1013952*p^100*q^1846+34420*p^98*q^1848+1056*p^96*q^1850+ 6880*p^141*q^1804+263946*p^139*q^1806+6460924*p^137*q^1808+165080875*p^135*q^ 1810+2478059120*p^133*q^1812+28688643931*p^131*q^1814+273736288624*p^129*q^1816 +2339539704214*p^127*q^1818+17261948722612*p^125*q^1820+94262580005027*p^123*q^ 1822+275071458342348*p^121*q^1824+307561353542952*p^119*q^1826+130514613403534* p^117*q^1828+29606011816388*p^115*q^1830+4887852444772*p^113*q^1832+ 683609701382*p^111*q^1834+83348045364*p^109*q^1836+8768628658*p^107*q^1838+ 768493182*p^105*q^1840+57548428*p^103*q^1842+2527302*p^101*q^1844+351236*p^99*q ^1846+276*p^97*q^1848+8*p^95*q^1850+60*p^142*q^1802+44924*p^140*q^1804+987458*p ^138*q^1806+32373344*p^136*q^1808+592562102*p^134*q^1810+8364727313*p^132*q^ 1812+84860053774*p^130*q^1814+771544088844*p^128*q^1816+6227877772506*p^126*q^ 1818+40946119605964*p^124*q^1820+174842475196884*p^122*q^1822+332040179321007*p ^120*q^1824+228328599415252*p^118*q^1826+68369863426609*p^116*q^1828+ 12963096709690*p^114*q^1830+1955722050016*p^112*q^1832+256254232612*p^110*q^ 1834+29078482337*p^108*q^1836+2848348708*p^106*q^1838+236276186*p^104*q^1840+ 14956682*p^102*q^1842+739906*p^100*q^1844+49844*p^98*q^1846+158*p^96*q^1848+ 5528*p^141*q^1802+265442*p^139*q^1804+4580796*p^137*q^1806+143517108*p^135*q^ 1808+2130530130*p^133*q^1810+25762052558*p^131*q^1812+247288855929*p^129*q^1814 +2122921881528*p^127*q^1816+15886403479870*p^125*q^1818+88334404132336*p^123*q^ 1820+269906239696795*p^121*q^1822+315876410973654*p^119*q^1824+140196580842837* p^117*q^1826+32320041235286*p^115*q^1828+5401590777938*p^113*q^1830+ 757522375282*p^111*q^1832+92942512992*p^109*q^1834+9834584420*p^107*q^1836+ 865835530*p^105*q^1838+65939152*p^103*q^1840+3648697*p^101*q^1842+444804*p^99*q ^1844+2904*p^97*q^1846+136*p^95*q^1848+48*p^142*q^1800+38648*p^140*q^1802+ 924374*p^138*q^1804+27817260*p^136*q^1806+529954307*p^134*q^1808+7435270270*p^ 132*q^1810+76403040812*p^130*q^1812+699962604306*p^128*q^1814+5674664812860*p^ 126*q^1816+38030397558112*p^124*q^1818+166621532772255*p^122*q^1820+ 333889459204616*p^120*q^1822+239555699761019*p^118*q^1824+74295926723708*p^116* q^1826+14223167053471*p^114*q^1828+2166822921758*p^112*q^1830+284215513281*p^ 110*q^1832+32562902952*p^108*q^1834+3194180549*p^106*q^1836+262465112*p^104*q^ 1838+17550988*p^102*q^1840+565468*p^100*q^1842+66484*p^98*q^1844+4*p^143*q^1798 +1612*p^141*q^1800+245298*p^139*q^1802+4082142*p^137*q^1804+123167741*p^135*q^ 1806+1860338308*p^133*q^1808+23188036330*p^131*q^1810+222796769048*p^129*q^1812 +1932288306562*p^127*q^1814+14556481104878*p^125*q^1816+83055299192649*p^123*q^ 1818+262713750110844*p^121*q^1820+325407117463272*p^119*q^1822+149633808545046* p^117*q^1824+35398559517505*p^115*q^1826+5949690524474*p^113*q^1828+ 841116857505*p^111*q^1830+103586323952*p^109*q^1832+11004743902*p^107*q^1834+ 984038826*p^105*q^1836+77958062*p^103*q^1838+4182628*p^101*q^1840+342316*p^99*q ^1842+8716*p^97*q^1844+28*p^95*q^1846+40768*p^140*q^1800+937090*p^138*q^1802+ 21646158*p^136*q^1804+471590676*p^134*q^1806+6543882492*p^132*q^1808+ 68859645418*p^130*q^1810+633324886854*p^128*q^1812+5183952672654*p^126*q^1814+ 35129455855229*p^124*q^1816+159273436683210*p^122*q^1818+332880606299692*p^120* q^1820+252200185617504*p^118*q^1822+80302018458185*p^116*q^1824+15660263408956* p^114*q^1826+2393312751359*p^112*q^1828+316376655862*p^110*q^1830+36338073743*p ^108*q^1832+3599568964*p^106*q^1834+292032922*p^104*q^1836+19046762*p^102*q^ 1838+734534*p^100*q^1840+142144*p^98*q^1842+88*p^96*q^1844+8*p^94*q^1846+1096*p ^141*q^1798+211228*p^139*q^1800+3618846*p^137*q^1802+106823476*p^135*q^1804+ 1637835418*p^133*q^1806+20758869662*p^131*q^1808+201201693440*p^129*q^1810+ 1751756449224*p^127*q^1812+13374128515180*p^125*q^1814+77597540363972*p^123*q^ 1816+256475788570364*p^121*q^1818+332537553437948*p^119*q^1820+160294893438909* p^117*q^1822+38591588936834*p^115*q^1824+6572740042452*p^113*q^1826+ 931566628018*p^111*q^1828+115461764037*p^109*q^1830+12344776514*p^107*q^1832+ 1116968164*p^105*q^1834+88122482*p^103*q^1836+5163046*p^101*q^1838+227596*p^99* q^1840+6304*p^97*q^1842+92*p^142*q^1796+21046*p^140*q^1798+958994*p^138*q^1800+ 17258300*p^136*q^1802+415128441*p^134*q^1804+5729255364*p^132*q^1806+ 61986703064*p^130*q^1808+573785395418*p^128*q^1810+4718328455005*p^126*q^1812+ 32546851636896*p^124*q^1814+151218562618226*p^122*q^1816+332970359204746*p^120* q^1818+263504300979299*p^118*q^1820+87100361921192*p^116*q^1822+17164307362997* p^114*q^1824+2649573232334*p^112*q^1826+350835822979*p^110*q^1828+40632995606*p ^108*q^1830+4018419541*p^106*q^1832+324012452*p^104*q^1834+22732714*p^102*q^ 1836+965210*p^100*q^1838+141432*p^98*q^1840+1036*p^96*q^1842+2*p^94*q^1844+172* p^141*q^1796+203518*p^139*q^1798+3210422*p^137*q^1800+89704294*p^135*q^1802+ 1454423462*p^133*q^1804+18637629606*p^131*q^1806+181262983864*p^129*q^1808+ 1593628838563*p^127*q^1810+12236037994276*p^125*q^1812+72741098006204*p^123*q^ 1814+248475287456476*p^121*q^1816+340842712249649*p^119*q^1818+170518308165860* p^117*q^1820+42217110923496*p^115*q^1822+7233708529282*p^113*q^1824+ 1033846644301*p^111*q^1826+128493826178*p^109*q^1828+13821919382*p^107*q^1830+ 1268174238*p^105*q^1832+99701256*p^103*q^1834+5612194*p^101*q^1836+131684*p^99* q^1838+28780*p^97*q^1840+16*p^142*q^1794+13276*p^140*q^1796+957910*p^138*q^1798 +14977312*p^136*q^1800+368595298*p^134*q^1802+5029469379*p^132*q^1804+ 55874680828*p^130*q^1806+518610528976*p^128*q^1808+4306284771280*p^126*q^1810+ 30000558697903*p^124*q^1812+143946243832548*p^122*q^1814+330310375739074*p^120* q^1816+276227370202812*p^118*q^1818+93940487364136*p^116*q^1820+18887617898662* p^114*q^1822+2925811979977*p^112*q^1824+390621424180*p^110*q^1826+45412697831*p ^108*q^1828+4536412266*p^106*q^1830+370005566*p^104*q^1832+27114210*p^102*q^ 1834+1296372*p^100*q^1836+128912*p^98*q^1838+192*p^96*q^1840+852*p^141*q^1794+ 160312*p^139*q^1796+3125136*p^137*q^1798+72151794*p^135*q^1800+1288139325*p^133 *q^1802+16551254480*p^131*q^1804+163597502407*p^129*q^1806+1443485916946*p^127* q^1808+11224863877445*p^125*q^1810+67759098653348*p^123*q^1812+241403189054355* p^121*q^1814+346631180763454*p^119*q^1816+182075436675887*p^117*q^1818+ 45950968742524*p^115*q^1820+7986268011597*p^113*q^1822+1143516425054*p^111*q^ 1824+143014739306*p^109*q^1826+15433301822*p^107*q^1828+1420263065*p^105*q^1830 +107428396*p^103*q^1832+6038642*p^101*q^1834+170198*p^99*q^1836+39888*p^97*q^ 1838+56*p^95*q^1840+4756*p^140*q^1794+849714*p^138*q^1796+12235262*p^136*q^1798 +321030798*p^134*q^1800+4414043518*p^132*q^1802+50299841926*p^130*q^1804+ 469388271128*p^128*q^1806+3915916731026*p^126*q^1808+27742548352118*p^124*q^ 1810+136145501903987*p^122*q^1812+328631490181296*p^120*q^1814+287412930302976* p^118*q^1816+101651947232426*p^116*q^1818+20680992968928*p^114*q^1820+ 3238282052834*p^112*q^1822+433258913366*p^110*q^1824+50751967256*p^108*q^1826+ 5088597412*p^106*q^1828+421220816*p^104*q^1830+32045822*p^102*q^1832+1636802*p^ 100*q^1834+53376*p^98*q^1836+3208*p^96*q^1838+496*p^141*q^1792+109004*p^139*q^ 1794+3374218*p^137*q^1796+61304966*p^135*q^1798+1156111822*p^133*q^1800+ 14766176591*p^131*q^1802+147396659162*p^129*q^1804+1312527688046*p^127*q^1806+ 10255361342126*p^125*q^1808+63343226076384*p^123*q^1810+232762736139864*p^121*q ^1812+353472397492965*p^119*q^1814+193082062163278*p^117*q^1816+50193598455213* p^115*q^1818+8784333474690*p^113*q^1820+1268875874800*p^111*q^1822+159032846488 *p^109*q^1824+17324507741*p^107*q^1826+1604347812*p^105*q^1828+121420900*p^103* q^1830+7421096*p^101*q^1832+242094*p^99*q^1834+53656*p^97*q^1836+5004*p^140*q^ 1792+808712*p^138*q^1794+10823314*p^136*q^1796+272567484*p^134*q^1798+ 3886865980*p^132*q^1800+45241502816*p^130*q^1802+423811551953*p^128*q^1804+ 3569243266686*p^126*q^1806+25515192039387*p^124*q^1808+129135766196332*p^122*q^ 1810+324298031685110*p^120*q^1812+299961243755620*p^118*q^1814+109391080112983* p^116*q^1816+22733473555000*p^114*q^1818+3573136257520*p^112*q^1820+ 481883498320*p^110*q^1822+56647573971*p^108*q^1824+5701193080*p^106*q^1826+ 479234388*p^104*q^1828+35364630*p^102*q^1830+1596714*p^100*q^1832+23208*p^98*q^ 1834+7436*p^96*q^1836+10*p^143*q^1788+36*p^141*q^1790+60092*p^139*q^1792+ 3147358*p^137*q^1794+49228668*p^135*q^1796+1029015960*p^133*q^1798+13030340144* p^131*q^1800+133018957502*p^129*q^1802+1187975506354*p^127*q^1804+9395958054943 *p^125*q^1806+58847619228060*p^123*q^1808+225132044009447*p^121*q^1810+ 357607357674968*p^119*q^1812+205444444012134*p^117*q^1814+54553996782710*p^115* q^1816+9690186914039*p^113*q^1818+1402903018350*p^111*q^1820+177098084651*p^109 *q^1822+19334732584*p^107*q^1824+1811098598*p^105*q^1826+133921628*p^103*q^1828 +8955546*p^101*q^1830+406042*p^99*q^1832+37534*p^97*q^1834+136*p^95*q^1836+6116 *p^140*q^1790+641354*p^138*q^1792+10443890*p^136*q^1794+233778036*p^134*q^1796+ 3450438028*p^132*q^1798+40653415619*p^130*q^1800+383566423604*p^128*q^1802+ 3243704560145*p^126*q^1804+23546355560850*p^124*q^1806+121668898415711*p^122*q^ 1808+321036391508342*p^120*q^1810+310669623298588*p^118*q^1812+118085325435636* p^116*q^1814+24872066496554*p^114*q^1816+3953517081348*p^112*q^1818+ 534238714838*p^110*q^1820+63226674886*p^108*q^1822+6416509258*p^106*q^1824+ 542356384*p^104*q^1826+40549398*p^102*q^1828+1959130*p^100*q^1830+30484*p^98*q^ 1832+12916*p^96*q^1834+6*p^143*q^1786+20*p^141*q^1788+31554*p^139*q^1790+ 3092094*p^137*q^1792+41889360*p^135*q^1794+905740600*p^133*q^1796+11530469798*p ^131*q^1798+119811234624*p^129*q^1800+1078378270494*p^127*q^1802+8572867195080* p^125*q^1804+54859109973327*p^123*q^1806+216076489891970*p^121*q^1808+ 362891343807804*p^119*q^1810+217076946064596*p^117*q^1812+59495245373849*p^115* q^1814+10651521936568*p^113*q^1816+1555769703703*p^111*q^1818+196847946388*p^ 109*q^1820+21700468759*p^107*q^1822+2025292330*p^105*q^1824+152147758*p^103*q^ 1826+10455634*p^101*q^1828+397372*p^99*q^1830+5722*p^97*q^1832+912*p^95*q^1834+ 140*p^142*q^1786+1380*p^140*q^1788+462672*p^138*q^1790+10289674*p^136*q^1792+ 192837962*p^134*q^1794+3085838146*p^132*q^1796+36476149340*p^130*q^1798+ 346026854929*p^128*q^1800+2954934652952*p^126*q^1802+21622560278642*p^124*q^ 1804+114996729125628*p^122*q^1806+315149242144396*p^120*q^1808+322810975155572* p^118*q^1810+126725607732497*p^116*q^1812+27305891751444*p^114*q^1814+ 4360023754529*p^112*q^1816+593517441148*p^110*q^1818+70448692286*p^108*q^1820+ 7171887258*p^106*q^1822+620910353*p^104*q^1824+44518986*p^102*q^1826+2206730*p^ 100*q^1828+75692*p^98*q^1830+18996*p^96*q^1832+16*p^143*q^1784+43496*p^139*q^ 1788+2816956*p^137*q^1790+35778218*p^135*q^1792+797720928*p^133*q^1794+ 10157172772*p^131*q^1796+108096425723*p^129*q^1798+975819801820*p^127*q^1800+ 7842893821834*p^125*q^1802+50839650778888*p^123*q^1804+208025858691610*p^121*q^ 1806+365179497236882*p^119*q^1808+230205269306021*p^117*q^1810+64549974241250*p ^115*q^1812+11746123648012*p^113*q^1814+1720173493796*p^111*q^1816+219455725467 *p^109*q^1818+24282880514*p^107*q^1820+2299593414*p^105*q^1822+171975702*p^103* q^1824+12392422*p^101*q^1826+514024*p^99*q^1828+2404*p^97*q^1830+1508*p^95*q^ 1832+132*p^142*q^1784+624*p^140*q^1786+246992*p^138*q^1788+9991858*p^136*q^1790 +161660160*p^134*q^1792+2745055288*p^132*q^1794+32580353742*p^130*q^1796+ 312873150364*p^128*q^1798+2681700450227*p^126*q^1800+19913506543362*p^124*q^ 1802+108000203234577*p^122*q^1804+310374037869634*p^120*q^1806+332773441843853* p^118*q^1808+136468775683768*p^116*q^1810+29838506652893*p^114*q^1812+ 4819501369104*p^112*q^1814+657317935071*p^110*q^1816+78424907282*p^108*q^1818+ 8023464650*p^106*q^1820+690785092*p^104*q^1822+47937670*p^102*q^1824+2641060*p^ 100*q^1826+83260*p^98*q^1828+4516*p^96*q^1830+56*p^94*q^1832+796*p^141*q^1784+ 20272*p^139*q^1786+2405974*p^137*q^1788+32718588*p^135*q^1790+687120048*p^133*q ^1792+9030780810*p^131*q^1794+97389428644*p^129*q^1796+885462396488*p^127*q^ 1798+7149434656168*p^125*q^1800+47274445976654*p^123*q^1802+198838317427220*p^ 121*q^1804+368613521310355*p^119*q^1806+242275025520670*p^117*q^1808+ 70284387676575*p^115*q^1810+12897651339862*p^113*q^1812+1907206454714*p^111*q^ 1814+243832863966*p^109*q^1816+27259846701*p^107*q^1818+2582831834*p^105*q^1820 +200923066*p^103*q^1822+14976186*p^101*q^1824+561110*p^99*q^1826+9496*p^97*q^ 1828+5764*p^95*q^1830+264*p^142*q^1782+100*p^140*q^1784+238464*p^138*q^1786+ 9862036*p^136*q^1788+136559194*p^134*q^1790+2459689812*p^132*q^1792+29057142040 *p^130*q^1794+282135102153*p^128*q^1796+2440680775930*p^126*q^1798+ 18253688992749*p^124*q^1800+101711460973890*p^122*q^1802+303197382760276*p^120* q^1804+344118263398018*p^118*q^1806+146052503178168*p^116*q^1808+32731914028710 *p^114*q^1810+5313579341931*p^112*q^1812+730291393922*p^110*q^1814+87457344138* p^108*q^1816+9001631802*p^106*q^1818+789119482*p^104*q^1820+52749738*p^102*q^ 1822+3126998*p^100*q^1824+109858*p^98*q^1826+100*p^96*q^1828+56*p^94*q^1830+4*p ^143*q^1780+1388*p^141*q^1782+9724*p^139*q^1784+1645558*p^137*q^1786+30483348*p ^135*q^1788+583048056*p^133*q^1790+7995237988*p^131*q^1792+87776309329*p^129*q^ 1794+800280819144*p^127*q^1796+6532909197352*p^125*q^1798+43702730735768*p^123* q^1800+190584317375257*p^121*q^1802+369102863377728*p^119*q^1804+ 255929329006413*p^117*q^1806+76103362679054*p^115*q^1808+14212758686719*p^113*q ^1810+2106540631442*p^111*q^1812+271255667009*p^109*q^1814+30369767666*p^107*q^ 1816+2898677640*p^105*q^1818+224914312*p^103*q^1820+16019066*p^101*q^1822+ 584362*p^99*q^1824+14512*p^97*q^1826+2888*p^95*q^1828+36*p^142*q^1780+2444*p^ 140*q^1782+168574*p^138*q^1784+9178644*p^136*q^1786+114601531*p^134*q^1788+ 2182888674*p^132*q^1790+25821797248*p^130*q^1792+254979805474*p^128*q^1794+ 2213650532256*p^126*q^1796+16786102864192*p^124*q^1798+95217142068218*p^122*q^ 1800+297078762058864*p^120*q^1802+353085662166264*p^118*q^1804+156818249236804* p^116*q^1806+35719714456196*p^114*q^1808+5871714426552*p^112*q^1810+ 808649108879*p^110*q^1812+97535933362*p^108*q^1814+10114088024*p^106*q^1816+ 889696096*p^104*q^1818+60065651*p^102*q^1820+4265704*p^100*q^1822+155808*p^98*q ^1824+680*p^96*q^1826+944*p^94*q^1828+2038*p^141*q^1780+3624*p^139*q^1782+ 1237728*p^137*q^1784+30148868*p^135*q^1786+502418698*p^133*q^1788+7165697480*p^ 131*q^1790+78988168754*p^129*q^1792+725877143013*p^127*q^1794+5948645659836*p^ 125*q^1796+40544168690951*p^123*q^1798+181392367513664*p^121*q^1800+ 370564250524301*p^119*q^1802+268347706022670*p^117*q^1804+82703990571414*p^115* q^1806+15595661567814*p^113*q^1808+2335229993596*p^111*q^1810+301218735148*p^ 109*q^1812+34016204983*p^107*q^1814+3249653236*p^105*q^1816+258868272*p^103*q^ 1818+17463892*p^101*q^1820+673790*p^99*q^1822+14818*p^97*q^1824+84*p^142*q^1778 +7874*p^140*q^1780+95836*p^138*q^1782+7900750*p^136*q^1784+100286992*p^134*q^ 1786+1909188855*p^132*q^1788+22943947218*p^130*q^1790+229767408010*p^128*q^1792 +2012235459624*p^126*q^1794+15359000078112*p^124*q^1796+89403094397866*p^122*q^ 1798+288760740481194*p^120*q^1800+363353282733954*p^118*q^1802+167357831813221* p^116*q^1804+39131456706342*p^114*q^1806+6468068865933*p^112*q^1808+ 897866603808*p^110*q^1810+108646163348*p^108*q^1812+11350603016*p^106*q^1814+ 1006506584*p^104*q^1816+68563724*p^102*q^1818+5023102*p^100*q^1820+128128*p^98* q^1822+2020*p^96*q^1824+1148*p^94*q^1826+956*p^141*q^1778+5590*p^139*q^1780+ 1010492*p^137*q^1782+28702636*p^135*q^1784+420287196*p^133*q^1786+6403410072*p^ 131*q^1788+70941219727*p^129*q^1790+655675195806*p^127*q^1792+5430184926984*p^ 125*q^1794+37400563873212*p^123*q^1796+173179924006622*p^121*q^1798+ 369094128717896*p^119*q^1800+282280484662461*p^117*q^1802+89384258998058*p^115* q^1804+17168840162793*p^113*q^1806+2578020810738*p^111*q^1808+334975176016*p^ 109*q^1810+37877718000*p^107*q^1812+3638666270*p^105*q^1814+293072410*p^103*q^ 1816+18027248*p^101*q^1818+916044*p^99*q^1820+36634*p^97*q^1822+20*p^95*q^1824+ 64*p^93*q^1826+12*p^142*q^1776+10658*p^140*q^1778+54160*p^138*q^1780+5967662*p^ 136*q^1782+91630914*p^134*q^1784+1674980536*p^132*q^1786+20400800930*p^130*q^ 1788+207827172810*p^128*q^1790+1824229944105*p^126*q^1792+14101092024670*p^124* q^1794+83420583385833*p^122*q^1796+281584128080100*p^120*q^1798+370926538727104 *p^118*q^1800+179160411299454*p^116*q^1802+42656570611296*p^114*q^1804+ 7144449977620*p^112*q^1806+994270003309*p^110*q^1808+121157375794*p^108*q^1810+ 12768496600*p^106*q^1812+1142520536*p^104*q^1814+78993396*p^102*q^1816+6049212* p^100*q^1818+141708*p^98*q^1820+996*p^96*q^1822+828*p^141*q^1776+26092*p^139*q^ 1778+667548*p^137*q^1780+27908260*p^135*q^1782+358083696*p^133*q^1784+ 5718011927*p^131*q^1786+63537647528*p^129*q^1788+593620801602*p^127*q^1790+ 4938529079046*p^125*q^1792+34616475982728*p^123*q^1794+164161912580340*p^121*q^ 1796+368711665077804*p^119*q^1798+294737878414848*p^117*q^1800+96924164427204*p ^115*q^1802+18824485338066*p^113*q^1804+2855900538645*p^111*q^1806+371499130470 *p^109*q^1808+42343612264*p^107*q^1810+4070358788*p^105*q^1812+329592212*p^103* q^1814+19904524*p^101*q^1816+1238986*p^99*q^1818+31584*p^97*q^1820+186*p^95*q^ 1822+274*p^93*q^1824+9164*p^140*q^1776+25872*p^138*q^1778+4986832*p^136*q^1780+ 84955302*p^134*q^1782+1446349271*p^132*q^1784+18221204736*p^130*q^1786+ 187255351830*p^128*q^1788+1657929675832*p^126*q^1790+12888919080373*p^124*q^ 1792+78092941885842*p^122*q^1794+272360791608695*p^120*q^1796+379871603788930*p ^118*q^1798+190552930632828*p^116*q^1800+46664680427448*p^114*q^1802+ 7865353594451*p^112*q^1804+1103359018486*p^110*q^1806+134871023018*p^108*q^1808 +14329289502*p^106*q^1810+1284759948*p^104*q^1812+92508340*p^102*q^1814+6184528 *p^100*q^1816+150700*p^98*q^1818+5568*p^96*q^1820+362*p^141*q^1774+42732*p^139* q^1776+475788*p^137*q^1778+23976900*p^135*q^1780+306836512*p^133*q^1782+ 5087096704*p^131*q^1784+56813517516*p^129*q^1786+536073251310*p^127*q^1788+ 4501778709947*p^125*q^1790+31864994166714*p^123*q^1792+156094879666714*p^121*q^ 1794+365266310234582*p^119*q^1796+308808015349002*p^117*q^1798+104522204550594* p^115*q^1800+20708200614425*p^113*q^1802+3152772428452*p^111*q^1804+ 413258694057*p^109*q^1806+47242131484*p^107*q^1808+4583704981*p^105*q^1810+ 379978686*p^103*q^1812+22082520*p^101*q^1814+1751662*p^99*q^1816+29644*p^97*q^ 1818+24*p^95*q^1820+6268*p^140*q^1774+63564*p^138*q^1776+3649812*p^136*q^1778+ 81998424*p^134*q^1780+1244888282*p^132*q^1782+16257843783*p^130*q^1784+ 169146474286*p^128*q^1786+1500968496573*p^126*q^1788+11815498144476*p^124*q^ 1790+72677785519484*p^122*q^1792+264310347205932*p^120*q^1794+385832609657098*p ^118*q^1796+203376378995782*p^116*q^1798+50785150523018*p^114*q^1800+ 8680909935418*p^112*q^1802+1220606449814*p^110*q^1804+150066239620*p^108*q^1806 +15993804144*p^106*q^1808+1433413814*p^104*q^1810+102181928*p^102*q^1812+ 6260940*p^100*q^1814+220068*p^98*q^1816+7488*p^96*q^1818+8*p^94*q^1820+36*p^92* q^1822+60*p^141*q^1772+48172*p^139*q^1774+238420*p^137*q^1776+20513952*p^135*q^ 1778+269505392*p^133*q^1780+4505313490*p^131*q^1782+50770426470*p^129*q^1784+ 485319046117*p^127*q^1786+4092107164704*p^125*q^1788+29429748687647*p^123*q^ 1790+147430813859098*p^121*q^1792+362957966947114*p^119*q^1794+320963788780962* p^117*q^1796+113102572502501*p^115*q^1798+22681171323656*p^113*q^1800+ 3490726645085*p^111*q^1802+458471618156*p^109*q^1804+52862964782*p^107*q^1806+ 5187234060*p^105*q^1808+433151692*p^103*q^1810+26848256*p^101*q^1812+2127958*p^ 99*q^1814+25072*p^97*q^1816+422*p^95*q^1818+4*p^142*q^1770+4628*p^140*q^1772+ 127154*p^138*q^1774+2895953*p^136*q^1776+78224772*p^134*q^1778+1067547482*p^132 *q^1780+14590727658*p^130*q^1782+152172431967*p^128*q^1784+1363021650800*p^126* q^1786+10782195485575*p^124*q^1788+67834737685334*p^122*q^1790+254509506564508* p^120*q^1792+393080842766360*p^118*q^1794+215575417060120*p^116*q^1796+ 55491198276194*p^114*q^1798+9550551919924*p^112*q^1800+1354767197680*p^110*q^ 1802+166924246773*p^108*q^1804+17936130884*p^106*q^1806+1598089170*p^104*q^1808 +119484314*p^102*q^1810+6335668*p^100*q^1812+357912*p^98*q^1814+5596*p^96*q^ 1816+64*p^141*q^1770+39440*p^139*q^1772+219188*p^137*q^1774+16619398*p^135*q^ 1776+241175478*p^133*q^1778+3960941520*p^131*q^1780+45300257981*p^129*q^1782+ 437861104354*p^127*q^1784+3726675624333*p^125*q^1786+27039959338742*p^123*q^ 1788+139640455137976*p^121*q^1790+357783247615438*p^119*q^1792+334792767554710* p^117*q^1794+121659744220488*p^115*q^1796+24929168550199*p^113*q^1798+ 3850586060320*p^111*q^1800+509322397197*p^109*q^1802+58874150948*p^107*q^1804+ 5825066868*p^105*q^1806+492471240*p^103*q^1808+29595822*p^101*q^1810+2158204*p^ 99*q^1812+25928*p^97*q^1814+1344*p^95*q^1816+2*p^91*q^1820+1360*p^140*q^1770+ 169718*p^138*q^1772+1837308*p^136*q^1774+70044952*p^134*q^1776+914427354*p^132* q^1778+13011549263*p^130*q^1780+137124065778*p^128*q^1782+1233437478236*p^126*q ^1784+9872386574392*p^124*q^1786+62954909950025*p^122*q^1788+245827045679942*p^ 120*q^1790+397272143678834*p^118*q^1792+229260977145720*p^116*q^1794+ 60290264713139*p^114*q^1796+10536948966444*p^112*q^1798+1498038970631*p^110*q^ 1800+185830627896*p^108*q^1802+20037427267*p^106*q^1804+1799861134*p^104*q^1806 +135259668*p^102*q^1808+7101228*p^100*q^1810+586964*p^98*q^1812+5212*p^96*q^ 1814+8*p^94*q^1816+88*p^141*q^1768+34550*p^139*q^1770+314070*p^137*q^1772+ 13627049*p^135*q^1774+229162260*p^133*q^1776+3481723335*p^131*q^1778+ 40599657202*p^129*q^1780+396507853127*p^127*q^1782+3384217604052*p^125*q^1784+ 24928824607445*p^123*q^1786+131417110932496*p^121*q^1788+353622794171884*p^119* q^1790+346464406642630*p^117*q^1792+131317537070853*p^115*q^1794+27276697417992 *p^113*q^1796+4261712809584*p^111*q^1798+564895160672*p^109*q^1800+65782945599* p^107*q^1802+6577761028*p^105*q^1804+552663211*p^103*q^1806+35552032*p^101*q^ 1808+2270882*p^99*q^1810+46644*p^97*q^1812+828*p^95*q^1814+1242*p^140*q^1768+ 178912*p^138*q^1770+1271888*p^136*q^1772+62335804*p^134*q^1774+784759665*p^132* q^1776+11621324042*p^130*q^1778+122848824840*p^128*q^1780+1118488547568*p^126*q ^1782+8996842012194*p^124*q^1784+58608548158782*p^122*q^1786+235617786687658*p^ 120*q^1788+402636256043532*p^118*q^1790+242183727426828*p^116*q^1792+ 65767507911198*p^114*q^1794+11582732092486*p^112*q^1796+1662258067016*p^110*q^ 1798+206520396134*p^108*q^1800+22459136484*p^106*q^1802+2016973018*p^104*q^1804 +156835802*p^102*q^1806+7771848*p^100*q^1808+637732*p^98*q^1810+1712*p^96*q^ 1812+152*p^94*q^1814+20*p^141*q^1766+16500*p^139*q^1768+450770*p^137*q^1770+ 10403222*p^135*q^1772+210212313*p^133*q^1774+3018126164*p^131*q^1776+ 36321622119*p^129*q^1778+357724470908*p^127*q^1780+3080053419606*p^125*q^1782+ 22863199921754*p^123*q^1784+124059134629985*p^121*q^1786+346786127970844*p^119* q^1788+359684826222941*p^117*q^1790+140909719640500*p^115*q^1792+29944019537574 *p^113*q^1794+4698087253710*p^111*q^1796+627262436630*p^109*q^1798+73188452260* p^107*q^1800+7366646177*p^105*q^1802+618538906*p^103*q^1804+40387038*p^101*q^ 1806+2059618*p^99*q^1808+116468*p^97*q^1810+992*p^95*q^1812+888*p^140*q^1766+ 177064*p^138*q^1768+1095398*p^136*q^1770+53160648*p^134*q^1772+697608346*p^132* q^1774+10362954109*p^130*q^1776+110464249724*p^128*q^1778+1011597219683*p^126*q ^1780+8226475626154*p^124*q^1782+54249773421415*p^122*q^1784+226592863197912*p^ 120*q^1786+404754160981411*p^118*q^1788+256611179064460*p^116*q^1790+ 71346411445690*p^114*q^1792+12771875637126*p^112*q^1794+1837699983314*p^110*q^ 1796+230011192574*p^108*q^1798+25114646150*p^106*q^1800+2298677656*p^104*q^1802 +181290745*p^102*q^1804+9398056*p^100*q^1806+831490*p^98*q^1808+3544*p^96*q^ 1810+80*p^94*q^1812+12390*p^139*q^1766+572568*p^137*q^1768+7328724*p^135*q^1770 +195669478*p^133*q^1772+2610568280*p^131*q^1774+32503848266*p^129*q^1776+ 323437434445*p^127*q^1778+2794377351686*p^125*q^1780+21037931609474*p^123*q^ 1782+116340228703638*p^121*q^1784+341085606446901*p^119*q^1786+370459585941212* p^117*q^1788+151691301126685*p^115*q^1790+32732158642002*p^113*q^1792+ 5195681285513*p^111*q^1794+695247557498*p^109*q^1796+81617752661*p^107*q^1798+ 8272670310*p^105*q^1800+681801622*p^103*q^1802+45636566*p^101*q^1804+1983568*p^ 99*q^1806+139332*p^97*q^1808+44*p^95*q^1810+8*p^93*q^1812+580*p^140*q^1764+ 123774*p^138*q^1766+1134838*p^136*q^1768+45184458*p^134*q^1770+626417474*p^132* q^1772+9196047226*p^130*q^1774+98993825736*p^128*q^1776+916984433472*p^126*q^ 1778+7490214478055*p^124*q^1780+50379517389774*p^122*q^1782+216231918808601*p^ 120*q^1784+408144988421258*p^118*q^1786+269991660086589*p^116*q^1788+ 77677703042420*p^114*q^1790+14029464398760*p^112*q^1792+2037873742484*p^110*q^ 1794+255408843515*p^108*q^1796+28127750016*p^106*q^1798+2593576433*p^104*q^1800 +208879010*p^102*q^1802+11602038*p^100*q^1804+803096*p^98*q^1806+14932*p^96*q^ 1808+128*p^94*q^1810+7802*p^139*q^1764+653984*p^137*q^1766+5724826*p^135*q^1768 +176124931*p^133*q^1770+2258708974*p^131*q^1772+29141564816*p^129*q^1774+ 291225736338*p^127*q^1776+2541017934317*p^125*q^1778+19264642478368*p^123*q^ 1780+109447179635925*p^121*q^1782+332747566687946*p^119*q^1784+382853933372170* p^117*q^1786+162305432776504*p^115*q^1788+35899421335396*p^113*q^1790+ 5726961942138*p^111*q^1792+772320675111*p^109*q^1794+90925601850*p^107*q^1796+ 9285447919*p^105*q^1798+768759632*p^103*q^1800+53553430*p^101*q^1802+2088468*p^ 99*q^1804+216540*p^97*q^1806+120*p^95*q^1808+4*p^93*q^1810+72*p^140*q^1762+ 86416*p^138*q^1764+1451098*p^136*q^1766+34813256*p^134*q^1768+570234484*p^132*q ^1770+8104095915*p^130*q^1772+88834527616*p^128*q^1774+829001933944*p^126*q^ 1776+6838727478240*p^124*q^1778+46528402579735*p^122*q^1780+207041515584416*p^ 120*q^1782+408131210220516*p^118*q^1784+285039485952294*p^116*q^1786+ 84101007706865*p^114*q^1788+15454989824480*p^112*q^1790+2250910772005*p^110*q^ 1792+283998157336*p^108*q^1794+31308380473*p^106*q^1796+2929891530*p^104*q^1798 +231161974*p^102*q^1800+12654382*p^100*q^1802+639392*p^98*q^1804+23476*p^96*q^ 1806+6592*p^139*q^1762+604674*p^137*q^1764+4239298*p^135*q^1766+159001074*p^133 *q^1768+1975932604*p^131*q^1770+26096222636*p^129*q^1772+263019258484*p^127*q^ 1774+2303255342998*p^125*q^1776+17698919720348*p^123*q^1778+102334892845906*p^ 121*q^1780+325625404031689*p^119*q^1782+392355100944416*p^117*q^1784+ 174249578812898*p^115*q^1786+39185262051408*p^113*q^1788+6330557996050*p^111*q^ 1790+856146931348*p^109*q^1792+101406283061*p^107*q^1794+10445150990*p^105*q^ 1796+867562204*p^103*q^1798+63953236*p^101*q^1800+2935606*p^99*q^1802+301864*p^ 97*q^1804+1060*p^95*q^1806+8*p^93*q^1808+16*p^140*q^1760+62600*p^138*q^1762+ 1819172*p^136*q^1764+28128818*p^134*q^1766+523577978*p^132*q^1768+7121429600*p^ 130*q^1770+79660989183*p^128*q^1772+751085638124*p^126*q^1774+6221725277817*p^ 124*q^1776+43099845670426*p^122*q^1778+196784359888092*p^120*q^1780+ 409331636974682*p^118*q^1782+298671168595255*p^116*q^1784+91415779324946*p^114* q^1786+16964225438613*p^112*q^1788+2495368269450*p^110*q^1790+315322933402*p^ 108*q^1792+35071184482*p^106*q^1794+3306529104*p^104*q^1796+257216322*p^102*q^ 1798+14732264*p^100*q^1800+475366*p^98*q^1802+32936*p^96*q^1804+20*p^141*q^1758 +2214*p^139*q^1760+467042*p^137*q^1762+4025410*p^135*q^1764+134747484*p^133*q^ 1766+1731747868*p^131*q^1768+23315153390*p^129*q^1770+236276640174*p^127*q^1772 +2092313881001*p^125*q^1774+16176585235810*p^123*q^1776+95948195450299*p^121*q^ 1778+316172873051964*p^119*q^1780+403485468744982*p^117*q^1782+185876830082576* p^115*q^1784+42928608673043*p^113*q^1786+6972395329110*p^111*q^1788+ 950289738760*p^109*q^1790+112808225726*p^107*q^1792+11675588018*p^105*q^1794+ 979631446*p^103*q^1796+74466058*p^101*q^1798+3271048*p^99*q^1800+264366*p^97*q^ 1802+3096*p^95*q^1804+46148*p^138*q^1760+2031720*p^136*q^1762+20897188*p^134*q^ 1764+480372640*p^132*q^1766+6231411647*p^130*q^1768+71549768554*p^128*q^1770+ 678611011495*p^126*q^1772+5676055205882*p^124*q^1774+39725601885055*p^122*q^ 1776+187639821645022*p^120*q^1778+407260280939490*p^118*q^1780+313992808795260* p^116*q^1782+98751717646147*p^114*q^1784+18677073305268*p^112*q^1786+ 2754350265029*p^110*q^1788+350700091450*p^108*q^1790+39036000793*p^106*q^1792+ 3731750168*p^104*q^1794+285993702*p^102*q^1796+17034852*p^100*q^1798+600402*p^ 98*q^1800+77664*p^96*q^1802+32*p^94*q^1804+598*p^139*q^1758+383016*p^137*q^1760 +4535568*p^135*q^1762+113782884*p^133*q^1764+1555180542*p^131*q^1766+ 20811247876*p^129*q^1768+213139016102*p^127*q^1770+1895548746452*p^125*q^1772+ 14840351186860*p^123*q^1774+89428137081882*p^121*q^1776+307819988960252*p^119*q ^1778+411517564893530*p^117*q^1780+198935499381157*p^115*q^1782+46800673967632* p^113*q^1784+7704883841380*p^111*q^1786+1053288411272*p^109*q^1788+125792792943 *p^107*q^1790+13125293350*p^105*q^1792+1123544410*p^103*q^1794+84882440*p^101*q ^1796+3994840*p^99*q^1798+186320*p^97*q^1800+2392*p^95*q^1802+322*p^140*q^1756+ 29424*p^138*q^1758+1894374*p^136*q^1760+16248214*p^134*q^1762+437607114*p^132*q ^1764+5434758612*p^130*q^1766+64103952470*p^128*q^1768+614064545910*p^126*q^ 1770+5156679743641*p^124*q^1772+36720628136164*p^122*q^1774+177632797260658*p^ 120*q^1776+406299420117952*p^118*q^1778+327700844866504*p^116*q^1780+ 107106424282646*p^114*q^1782+20478816097015*p^112*q^1784+3051951513216*p^110*q^ 1786+389061629331*p^108*q^1788+43618355190*p^106*q^1790+4188679989*p^104*q^1792 +313998242*p^102*q^1794+20920978*p^100*q^1796+714078*p^98*q^1798+91160*p^96*q^ 1800+252*p^94*q^1802+192*p^139*q^1756+264462*p^137*q^1758+5256794*p^135*q^1760+ 92430372*p^133*q^1762+1387708694*p^131*q^1764+18509491515*p^129*q^1766+ 191408473886*p^127*q^1768+1720784315111*p^125*q^1770+13547447726534*p^123*q^ 1772+83619355781710*p^121*q^1774+297431048016224*p^119*q^1776+420999737559936*p ^117*q^1778+211551228493936*p^115*q^1780+51195130861197*p^113*q^1782+ 8480081578246*p^111*q^1784+1168684041156*p^109*q^1786+139836904380*p^107*q^1788 +14674056317*p^105*q^1790+1271851286*p^103*q^1792+95870075*p^101*q^1794+4258920 *p^99*q^1796+115510*p^97*q^1798+12032*p^95*q^1800+8*p^142*q^1752+36*p^140*q^ 1754+10396*p^138*q^1756+1726650*p^136*q^1758+14124629*p^134*q^1760+385856990*p^ 132*q^1762+4788621170*p^130*q^1764+57568413610*p^128*q^1766+554144073355*p^126* q^1768+4700143998814*p^124*q^1770+33769507450491*p^122*q^1772+168726558986774*p ^120*q^1774+402079678225984*p^118*q^1776+343032309852186*p^116*q^1778+ 115480550038963*p^114*q^1780+22528812239018*p^112*q^1782+3368609748035*p^110*q^ 1784+433002752410*p^108*q^1786+48645342796*p^106*q^1788+4732019394*p^104*q^1790 +360447350*p^102*q^1792+25153486*p^100*q^1794+976208*p^98*q^1796+90728*p^96*q^ 1798+56*p^94*q^1800+2220*p^139*q^1754+220538*p^137*q^1756+5686252*p^135*q^1758+ 72838470*p^133*q^1760+1276843628*p^131*q^1762+16353287424*p^129*q^1764+ 172478081572*p^127*q^1766+1557957879666*p^125*q^1768+12407868580592*p^123*q^ 1770+77708552607814*p^121*q^1772+288278593141242*p^119*q^1774+427172212392752*p ^117*q^1776+225656472202320*p^115*q^1778+55732624148040*p^113*q^1780+ 9363367414370*p^111*q^1782+1293316962578*p^109*q^1784+155620558378*p^107*q^1786 +16382538484*p^105*q^1788+1440101567*p^103*q^1790+102375880*p^101*q^1792+ 5041292*p^99*q^1794+125134*p^97*q^1796+20292*p^95*q^1798+8*p^93*q^1800+4*p^142* q^1750+5012*p^138*q^1754+1317894*p^136*q^1756+13870458*p^134*q^1758+336641981*p ^132*q^1760+4197044138*p^130*q^1762+51624640405*p^128*q^1764+500887171738*p^126 *q^1766+4267061569433*p^124*q^1768+31152951492616*p^122*q^1770+159119849911904* p^120*q^1772+399087390734730*p^118*q^1774+356371962316352*p^116*q^1776+ 124950647668430*p^114*q^1778+24684924927343*p^112*q^1780+3730589156756*p^110*q^ 1782+480759728311*p^108*q^1784+54405227248*p^106*q^1786+5333957027*p^104*q^1788 +409067780*p^102*q^1790+30404621*p^100*q^1792+1112304*p^98*q^1794+44284*p^96*q^ 1796+952*p^94*q^1798+116*p^141*q^1750+1056*p^139*q^1752+114536*p^137*q^1754+ 5838802*p^135*q^1756+58131129*p^133*q^1758+1158134668*p^131*q^1760+14473255743* p^129*q^1762+154737462740*p^127*q^1764+1413412692113*p^125*q^1766+ 11313776407316*p^123*q^1768+72450145835247*p^121*q^1770+277196715399196*p^119*q ^1772+434889164916371*p^117*q^1774+239120992738910*p^115*q^1776+60881264964721* p^113*q^1778+10300570727796*p^111*q^1780+1434709131943*p^109*q^1782+ 172923383524*p^107*q^1784+18310142454*p^105*q^1786+1626123516*p^103*q^1788+ 114815968*p^101*q^1790+6278394*p^99*q^1792+177038*p^97*q^1794+30452*p^95*q^1796 +8*p^142*q^1748+9402*p^138*q^1752+1128118*p^136*q^1754+14486060*p^134*q^1756+ 282366434*p^132*q^1758+3722456592*p^130*q^1760+46213899280*p^128*q^1762+ 451596479377*p^126*q^1764+3884364330144*p^124*q^1766+28596861444443*p^122*q^ 1768+150564188861244*p^120*q^1770+392884049837133*p^118*q^1772+371459599537142* p^116*q^1774+134379235293551*p^114*q^1776+27126729243390*p^112*q^1778+ 4115633286310*p^110*q^1780+534474802584*p^108*q^1782+60538373235*p^106*q^1784+ 5983869256*p^104*q^1786+468034445*p^102*q^1788+33148950*p^100*q^1790+1108310*p^ 98*q^1792+19524*p^96*q^1794+2800*p^94*q^1796+72*p^141*q^1748+84*p^139*q^1750+ 62662*p^137*q^1752+5213308*p^135*q^1754+48052506*p^133*q^1756+1049273639*p^131* q^1758+12772971544*p^129*q^1760+139422159579*p^127*q^1762+1278369417938*p^125*q ^1764+10349511068419*p^123*q^1766+67166854669762*p^121*q^1768+267426132877509*p ^119*q^1770+438922744963688*p^117*q^1772+254233522779374*p^115*q^1774+ 66158797026410*p^113*q^1776+11366562811942*p^111*q^1778+1587270387332*p^109*q^ 1780+192635005197*p^107*q^1782+20473277870*p^105*q^1784+1852926173*p^103*q^1786 +126880648*p^101*q^1788+8232884*p^99*q^1790+280738*p^97*q^1792+25256*p^95*q^ 1794+24*p^93*q^1796+684*p^140*q^1748+10628*p^138*q^1750+822254*p^136*q^1752+ 15716226*p^134*q^1754+235890605*p^132*q^1756+3353445710*p^130*q^1758+ 41272402975*p^128*q^1760+407882882224*p^126*q^1762+3524642363162*p^124*q^1764+ 26328608250390*p^122*q^1766+141501648558645*p^120*q^1768+387877916235148*p^118* q^1770+384100431534032*p^116*q^1772+145067770854592*p^114*q^1774+29692143005804 *p^112*q^1776+4556029747818*p^110*q^1778+593124431665*p^108*q^1780+67588901240* p^106*q^1782+6725396221*p^104*q^1784+531678486*p^102*q^1786+37736034*p^100*q^ 1788+1376018*p^98*q^1790+19688*p^96*q^1792+5616*p^94*q^1794+156*p^141*q^1746+60 *p^139*q^1748+43170*p^137*q^1750+4531782*p^135*q^1752+42973920*p^133*q^1754+ 926318858*p^131*q^1756+11205682840*p^129*q^1758+125037537880*p^127*q^1760+ 1158480807904*p^125*q^1762+9422388026802*p^123*q^1764+62442720552609*p^121*q^ 1766+256044054024132*p^119*q^1768+444517578367939*p^117*q^1770+268403355966218* p^115*q^1772+72171553732064*p^113*q^1774+12493483318892*p^111*q^1776+ 1760156853274*p^109*q^1778+214032127312*p^107*q^1780+22887787020*p^105*q^1782+ 2081502582*p^103*q^1784+142918142*p^101*q^1786+9560322*p^99*q^1788+239988*p^97* q^1790+5336*p^95*q^1792+232*p^93*q^1794+724*p^140*q^1746+2482*p^138*q^1748+ 501086*p^136*q^1750+15844176*p^134*q^1752+190021532*p^132*q^1754+3026924212*p^ 130*q^1756+36885323820*p^128*q^1758+367397138258*p^126*q^1760+3206296877658*p^ 124*q^1762+24128980126724*p^122*q^1764+133419071566910*p^120*q^1766+ 379970484883728*p^118*q^1768+398464557185062*p^116*q^1770+155584970704315*p^114 *q^1772+32598642503758*p^112*q^1774+5022713081581*p^110*q^1776+658678269692*p^ 108*q^1778+75172862380*p^106*q^1780+7511028880*p^104*q^1782+610200819*p^102*q^ 1784+41054538*p^100*q^1786+1817672*p^98*q^1788+55952*p^96*q^1790+9888*p^94*q^ 1792+8*p^141*q^1744+2116*p^139*q^1746+59156*p^137*q^1748+4000140*p^135*q^1750+ 41471392*p^133*q^1752+816839746*p^131*q^1754+9921444866*p^129*q^1756+ 112580158822*p^127*q^1758+1047202647394*p^125*q^1760+8610896488291*p^123*q^1762 +57741154777254*p^121*q^1764+245863620698816*p^119*q^1766+446376709516484*p^117 *q^1768+284288540993921*p^115*q^1770+78291652107326*p^113*q^1772+13782809247511 *p^111*q^1774+1946932786870*p^109*q^1776+238841150727*p^107*q^1778+25598580368* p^105*q^1780+2382336449*p^103*q^1782+164022222*p^101*q^1784+11460136*p^99*q^ 1786+288462*p^97*q^1788+1088*p^95*q^1790+472*p^93*q^1792+1376*p^140*q^1744+1580 *p^138*q^1746+312490*p^136*q^1748+14868876*p^134*q^1750+159048292*p^132*q^1752+ 2735972096*p^130*q^1754+32753003701*p^128*q^1756+331388929036*p^126*q^1758+ 2905582201695*p^124*q^1760+22174848640300*p^122*q^1762+124957860607925*p^120*q^ 1764+373196127799668*p^118*q^1766+410158276243771*p^116*q^1768+167500558384756* p^114*q^1770+35636773269495*p^112*q^1772+5556407262580*p^110*q^1774+ 730199416588*p^108*q^1776+83680690154*p^106*q^1778+8401485706*p^104*q^1780+ 685743266*p^102*q^1782+43689888*p^100*q^1784+2304166*p^98*q^1786+51056*p^96*q^ 1788+3164*p^94*q^1790+8*p^92*q^1792+4236*p^139*q^1744+29796*p^137*q^1746+ 2881280*p^135*q^1748+41589632*p^133*q^1750+691885212*p^131*q^1752+8791645331*p^ 129*q^1754+100902429276*p^127*q^1756+948370748672*p^125*q^1758+7832904334802*p^ 123*q^1760+53561733644669*p^121*q^1762+234379196754082*p^119*q^1764+ 449621021606369*p^117*q^1766+299018284393382*p^115*q^1768+85244340326359*p^113* q^1770+15136539145872*p^111*q^1772+2158681142646*p^109*q^1774+265231101452*p^ 107*q^1776+28646530640*p^105*q^1778+2674566744*p^103*q^1780+188597759*p^101*q^ 1782+13482646*p^99*q^1784+348278*p^97*q^1786+7272*p^95*q^1788+2176*p^93*q^1790+ 396*p^140*q^1742+3916*p^138*q^1744+268264*p^136*q^1746+14341570*p^134*q^1748+ 135586756*p^132*q^1750+2467954653*p^130*q^1752+29115783008*p^128*q^1754+ 298312432615*p^126*q^1756+2641165136622*p^124*q^1758+20285899656332*p^122*q^ 1760+117435365498748*p^120*q^1762+363706852038854*p^118*q^1764+423433957237354* p^116*q^1766+179179586208250*p^114*q^1768+39082541162118*p^112*q^1770+ 6124048577035*p^110*q^1772+811006587484*p^108*q^1774+93240712200*p^106*q^1776+ 9397993740*p^104*q^1778+789217428*p^102*q^1780+49137640*p^100*q^1782+2815580*p^ 98*q^1784+55552*p^96*q^1786+22*p^94*q^1788+12*p^92*q^1790+8*p^141*q^1740+7260*p ^139*q^1742+18392*p^137*q^1744+2068950*p^135*q^1746+40818766*p^133*q^1748+ 586450590*p^131*q^1750+7862669430*p^129*q^1752+90694734001*p^127*q^1754+ 856491149420*p^125*q^1756+7148023076177*p^123*q^1758+49408702785326*p^121*q^ 1760+224150075152795*p^119*q^1762+449115330118172*p^117*q^1764+315458116670998* p^115*q^1766+92307827471682*p^113*q^1768+16683943512766*p^111*q^1770+ 2385285328180*p^109*q^1772+295479781616*p^107*q^1774+31892648938*p^105*q^1776+ 3015828654*p^103*q^1778+214648912*p^101*q^1780+14166020*p^99*q^1782+458808*p^97 *q^1784+9900*p^95*q^1786+1504*p^93*q^1788+28*p^140*q^1740+14296*p^138*q^1742+ 209920*p^136*q^1744+12196706*p^134*q^1746+121585306*p^132*q^1748+2197901518*p^ 130*q^1750+25752700955*p^128*q^1752+268903937152*p^126*q^1754+2391819289240*p^ 124*q^1756+18615886950702*p^122*q^1758+109629634536193*p^120*q^1760+ 355493053035636*p^118*q^1762+433667544533028*p^116*q^1764+192321527017322*p^114 *q^1766+42680277132498*p^112*q^1768+6770478640600*p^110*q^1770+899028209062*p^ 108*q^1772+103991583118*p^106*q^1774+10544789422*p^104*q^1776+902781110*p^102*q ^1778+54683978*p^100*q^1780+3844188*p^98*q^1782+66569*p^96*q^1784+476*p^94*q^ 1786+232*p^92*q^1788+5340*p^139*q^1740+10612*p^137*q^1742+1403196*p^135*q^1744+ 41367196*p^133*q^1746+494835258*p^131*q^1748+7065454282*p^129*q^1750+ 81224209548*p^127*q^1752+775030675818*p^125*q^1754+6496705321684*p^123*q^1756+ 45719297626799*p^121*q^1758+212765125885214*p^119*q^1760+450078278361485*p^117* q^1762+330421086683578*p^115*q^1764+100312236288090*p^113*q^1766+18311873942980 *p^111*q^1768+2644072020892*p^109*q^1770+327981411608*p^107*q^1772+35630875328* p^105*q^1774+3370526442*p^103*q^1776+244662018*p^101*q^1778+15741172*p^99*q^ 1780+543550*p^97*q^1782+8300*p^95*q^1784+188*p^140*q^1738+25988*p^138*q^1740+ 136424*p^136*q^1742+9981304*p^134*q^1744+111009270*p^132*q^1746+1921255459*p^ 130*q^1748+22834263730*p^128*q^1750+241625621321*p^126*q^1752+2171543150384*p^ 124*q^1754+17005192445775*p^122*q^1756+102697912572050*p^120*q^1758+ 344710264195161*p^118*q^1760+445610362658734*p^116*q^1762+205092226485051*p^114 *q^1764+46747020861358*p^112*q^1766+7458232244726*p^110*q^1768+997744649980*p^ 108*q^1770+115821589413*p^106*q^1772+11784722990*p^104*q^1774+1029339044*p^102* q^1776+62999412*p^100*q^1778+4290034*p^98*q^1780+77310*p^96*q^1782+1586*p^94*q^ 1784+424*p^92*q^1786+948*p^139*q^1738+29756*p^137*q^1740+1141158*p^135*q^1742+ 39256506*p^133*q^1744+420603170*p^131*q^1746+6378302138*p^129*q^1748+ 72755037894*p^127*q^1750+699690441546*p^125*q^1752+5923375724715*p^123*q^1754+ 42093972717240*p^121*q^1756+202638780253088*p^119*q^1758+447174740553756*p^117* q^1760+347211508986419*p^115*q^1762+108379423002380*p^113*q^1764+20165532078187 *p^111*q^1766+2920538801678*p^109*q^1768+365158383917*p^107*q^1770+39654376384* p^105*q^1772+3784043531*p^103*q^1774+283490052*p^101*q^1776+16209588*p^99*q^ 1778+847274*p^97*q^1780+12496*p^95*q^1782+8*p^93*q^1784+8*p^91*q^1786+20*p^140* q^1736+34220*p^138*q^1738+86864*p^136*q^1740+7385288*p^134*q^1742+108795526*p^ 132*q^1744+1679473270*p^130*q^1746+20291315668*p^128*q^1748+217946645378*p^126* q^1750+1965214010411*p^124*q^1752+15579954663270*p^122*q^1754+95598988301221*p^ 120*q^1756+335240409957398*p^118*q^1758+454014558081222*p^116*q^1760+ 219507309773248*p^114*q^1762+50978432720382*p^112*q^1764+8243237613760*p^110*q^ 1766+1105985843040*p^108*q^1768+129300321852*p^106*q^1770+13240579320*p^104*q^ 1772+1176249210*p^102*q^1774+71660216*p^100*q^1776+5218922*p^98*q^1778+90112*p^ 96*q^1780+744*p^94*q^1782+1960*p^139*q^1736+66106*p^137*q^1738+806720*p^135*q^ 1740+35846004*p^133*q^1742+358681688*p^131*q^1744+5696782805*p^129*q^1746+ 64796382176*p^127*q^1748+631778414738*p^125*q^1750+5376887248618*p^123*q^1752+ 38859690901066*p^121*q^1754+191619302176070*p^119*q^1756+445729433422059*p^117* q^1758+362130635828818*p^115*q^1760+117551108808866*p^113*q^1762+22112744131758 *p^111*q^1764+3234606425285*p^109*q^1766+404971739666*p^107*q^1768+44217553565* p^105*q^1770+4206608856*p^103*q^1772+322503218*p^101*q^1774+17704388*p^99*q^ 1776+1033458*p^97*q^1778+11988*p^95*q^1780+168*p^93*q^1782+64*p^91*q^1784+13532 *p^138*q^1736+63824*p^136*q^1738+5631650*p^134*q^1740+106298246*p^132*q^1742+ 1443552047*p^130*q^1744+18142100722*p^128*q^1746+195863723737*p^126*q^1748+ 1784202244218*p^124*q^1750+14214532864553*p^122*q^1752+89286005554534*p^120*q^ 1754+323591950013696*p^118*q^1756+464127270070556*p^116*q^1758+233272019131417* p^114*q^1760+55770517708766*p^112*q^1762+9072403392185*p^110*q^1764+ 1227202712702*p^108*q^1766+143893507454*p^106*q^1768+14788599598*p^104*q^1770+ 1326540873*p^102*q^1772+83483554*p^100*q^1774+5401858*p^98*q^1776+135834*p^96*q ^1778+1953*p^94*q^1780+672*p^139*q^1734+124088*p^137*q^1736+606550*p^135*q^1738 +30722132*p^133*q^1740+317893080*p^131*q^1742+5100020660*p^129*q^1744+ 57858243880*p^127*q^1746+569890774354*p^125*q^1748+4896653076060*p^123*q^1750+ 35704113816866*p^121*q^1752+181751945108358*p^119*q^1754+440605255098056*p^117* q^1756+378843901904746*p^115*q^1758+126727189504382*p^113*q^1760+24337217931591 *p^111*q^1762+3572574275762*p^109*q^1764+450968612813*p^107*q^1766+49391986284* p^105*q^1768+4748578528*p^103*q^1770+381691438*p^101*q^1772+19870900*p^99*q^ 1774+1455216*p^97*q^1776+13816*p^95*q^1778+24*p^93*q^1780+13304*p^138*q^1734+ 133754*p^136*q^1736+4273646*p^134*q^1738+102692996*p^132*q^1740+1241693700*p^ 130*q^1742+16218909263*p^128*q^1744+176289679084*p^126*q^1746+1612678371216*p^ 124*q^1748+13007405805698*p^122*q^1750+82872307555551*p^120*q^1752+ 313178574215418*p^118*q^1754+470574553503708*p^116*q^1756+248833276265218*p^114 *q^1758+60717171597516*p^112*q^1760+10021625580100*p^110*q^1762+1358453577389*p ^108*q^1764+160321773870*p^106*q^1766+16473738692*p^104*q^1768+1480104652*p^102 *q^1770+93059756*p^100*q^1772+5408086*p^98*q^1774+188300*p^96*q^1776+1680*p^94* q^1778+8*p^92*q^1780+4*p^90*q^1782+76*p^139*q^1732+96324*p^137*q^1734+344330*p^ 135*q^1736+24479256*p^133*q^1738+291794804*p^131*q^1740+4505637563*p^129*q^1742 +51439304666*p^127*q^1744+514463078506*p^125*q^1746+4441781104432*p^123*q^1748+ 32900426470121*p^121*q^1750+171224859507238*p^119*q^1752+436819594064165*p^117* q^1754+393410666758868*p^115*q^1756+137107860073271*p^113*q^1758+26661806136642 *p^111*q^1760+3955797649720*p^109*q^1762+500269234854*p^107*q^1764+55182429492* p^105*q^1766+5328133710*p^103*q^1768+439631642*p^101*q^1770+23014498*p^99*q^ 1772+1757962*p^97*q^1774+16014*p^95*q^1776+216*p^93*q^1778+20*p^140*q^1730+9148 *p^138*q^1732+279384*p^136*q^1734+3257626*p^134*q^1736+98023116*p^132*q^1738+ 1058454646*p^130*q^1740+14576172170*p^128*q^1742+158199829402*p^126*q^1744+ 1462682169934*p^124*q^1746+11850725272368*p^122*q^1748+77192703802054*p^120*q^ 1750+300854327006200*p^118*q^1752+478535598355510*p^116*q^1754+263589689332967* p^114*q^1756+66331309153022*p^112*q^1758+11024153407783*p^110*q^1760+ 1507382393172*p^108*q^1762+178324294284*p^106*q^1764+18408070096*p^104*q^1766+ 1653945361*p^102*q^1768+111646738*p^100*q^1770+5685408*p^98*q^1772+288416*p^96* q^1774+1836*p^94*q^1776+32*p^139*q^1730+71856*p^137*q^1732+355532*p^135*q^1734+ 19813246*p^133*q^1736+272924780*p^131*q^1738+3978585708*p^129*q^1740+ 45905435874*p^127*q^1742+463563198108*p^125*q^1744+4041136715491*p^123*q^1746+ 30168493219198*p^121*q^1748+161837256268692*p^119*q^1750+429536923070380*p^117* q^1752+409699694007051*p^115*q^1754+147464508043256*p^113*q^1756+29309969508402 *p^111*q^1758+4365274010626*p^109*q^1760+556429531061*p^107*q^1762+61560038302* p^105*q^1764+5971564457*p^103*q^1766+504260076*p^101*q^1768+25373326*p^99*q^ 1770+1800896*p^97*q^1772+26054*p^95*q^1774+164*p^93*q^1776+2028*p^138*q^1730+ 375748*p^136*q^1732+2225316*p^134*q^1734+86080264*p^132*q^1736+921874570*p^130* q^1738+13026710980*p^128*q^1740+142051475728*p^126*q^1742+1321375792323*p^124*q ^1744+10830047540904*p^122*q^1746+71458793889990*p^120*q^1748+289888545103314*p ^118*q^1750+482601635775262*p^116*q^1752+280141990701788*p^114*q^1754+ 72110215556690*p^112*q^1756+12170386308620*p^110*q^1758+1668261277618*p^108*q^ 1760+198833356536*p^106*q^1762+20541497846*p^104*q^1764+1863979762*p^102*q^1766 +131752251*p^100*q^1768+6015346*p^98*q^1770+460318*p^96*q^1772+1656*p^94*q^1774 +12*p^92*q^1776+328*p^139*q^1728+68292*p^137*q^1730+492830*p^135*q^1732+ 15312116*p^133*q^1734+265198642*p^131*q^1736+3461440566*p^129*q^1738+ 40996473144*p^127*q^1740+418378782826*p^125*q^1742+3663009944302*p^123*q^1744+ 27747624180297*p^121*q^1746+151889500769658*p^119*q^1748+423713424247569*p^117* q^1750+423434403726524*p^115*q^1752+159150396730755*p^113*q^1754+32084515035548 *p^111*q^1756+4831073822156*p^109*q^1758+617082729410*p^107*q^1760+68717338955* p^105*q^1762+6695441410*p^103*q^1764+565803370*p^101*q^1766+29671832*p^99*q^ 1768+1936270*p^97*q^1770+36024*p^95*q^1772+192*p^93*q^1774+1112*p^138*q^1728+ 315168*p^136*q^1730+1665228*p^134*q^1732+75166452*p^132*q^1734+804269368*p^130* q^1736+11672027990*p^128*q^1738+126943886729*p^126*q^1740+1196626309940*p^124*q ^1742+9855723254976*p^122*q^1744+66376979381272*p^120*q^1746+277209982906735*p^ 118*q^1748+488317007007562*p^116*q^1750+295636333721978*p^114*q^1752+ 78642294582634*p^112*q^1754+13378981184194*p^110*q^1756+1850238071680*p^108*q^ 1758+220912740235*p^106*q^1760+22973091488*p^104*q^1762+2076362880*p^102*q^1764 +155990286*p^100*q^1766+6567404*p^98*q^1768+508088*p^96*q^1770+2520*p^94*q^1772 +8*p^92*q^1774+28*p^139*q^1726+27288*p^137*q^1728+878390*p^135*q^1730+11661568* p^133*q^1732+248860870*p^131*q^1734+3015345096*p^129*q^1736+36700917226*p^127*q ^1738+376931864576*p^125*q^1740+3330597283325*p^123*q^1742+25407267483626*p^121 *q^1744+143057994563168*p^119*q^1746+414469532103074*p^117*q^1748+ 439001674577914*p^115*q^1750+170689134699226*p^113*q^1752+35232616634188*p^111* q^1754+5329629108880*p^109*q^1756+685835046091*p^107*q^1758+76658961276*p^105*q ^1760+7477547043*p^103*q^1762+641975556*p^101*q^1764+35829707*p^99*q^1766+ 1739744*p^97*q^1768+89214*p^95*q^1770+160*p^93*q^1772+2368*p^138*q^1726+331342* p^136*q^1728+1414370*p^134*q^1730+62483464*p^132*q^1732+734754784*p^130*q^1734+ 10396658783*p^128*q^1736+113802744344*p^126*q^1738+1080170605758*p^124*q^1740+ 8994883666302*p^122*q^1742+61301235643584*p^120*q^1744+265885296924386*p^118*q^ 1746+489808568958317*p^116*q^1748+313091690407034*p^114*q^1750+85338117858863*p ^112*q^1752+14762737305846*p^110*q^1754+2046966995825*p^108*q^1756+246466968398 *p^106*q^1758+25685797869*p^104*q^1760+2356916696*p^102*q^1762+182341588*p^100* q^1764+7248276*p^98*q^1766+670686*p^96*q^1768+2544*p^94*q^1770+12*p^92*q^1772+ 16524*p^137*q^1726+1001402*p^135*q^1728+8582018*p^133*q^1730+230628346*p^131*q^ 1732+2603477326*p^129*q^1734+32787404456*p^127*q^1736+339628831933*p^125*q^1738 +3015770598458*p^123*q^1740+23324906658449*p^121*q^1742+133842646693536*p^119*q ^1744+406722854894021*p^117*q^1746+451517335306442*p^115*q^1748+183761333155109 *p^113*q^1750+38518952808452*p^111*q^1752+5894131969013*p^109*q^1754+ 760260080080*p^107*q^1756+85403742343*p^105*q^1758+8339512286*p^103*q^1760+ 706856213*p^101*q^1762+42020366*p^99*q^1764+1683032*p^97*q^1766+102312*p^95*q^ 1768+128*p^93*q^1770+1012*p^138*q^1724+211364*p^136*q^1726+1635696*p^134*q^1728 +50565036*p^132*q^1730+676755216*p^130*q^1732+9208100872*p^128*q^1734+ 101745640308*p^126*q^1736+977610616986*p^124*q^1738+8177216471451*p^122*q^1740+ 56799888539698*p^120*q^1742+253209186535379*p^118*q^1744+492960916952440*p^116* q^1746+329069486973082*p^114*q^1748+92917043866388*p^112*q^1750+16214610783599* p^110*q^1752+2269392377416*p^108*q^1754+273648041351*p^106*q^1756+28760747614*p ^104*q^1758+2638304253*p^102*q^1760+212150936*p^100*q^1762+9031242*p^98*q^1764+ 629368*p^96*q^1766+11608*p^94*q^1768+8*p^92*q^1770+12700*p^137*q^1724+1144718*p ^135*q^1726+6853584*p^133*q^1728+209352352*p^131*q^1730+2274925814*p^129*q^1732 +29491091268*p^127*q^1734+305422907434*p^125*q^1736+2740169371741*p^123*q^1738+ 21323666674890*p^121*q^1740+125621195222340*p^119*q^1742+395928797872964*p^117* q^1744+465794903177814*p^115*q^1746+196516410906614*p^113*q^1748+42264517108601 *p^111*q^1750+6499780082416*p^109*q^1752+845060647404*p^107*q^1754+95357981844* p^105*q^1756+9337708905*p^103*q^1758+801532640*p^101*q^1760+51996564*p^99*q^ 1762+1666394*p^97*q^1764+174574*p^95*q^1766+84*p^93*q^1768+92*p^138*q^1722+ 138840*p^136*q^1724+2276960*p^134*q^1726+39309178*p^132*q^1728+629943904*p^130* q^1730+8117357212*p^128*q^1732+91022906684*p^126*q^1734+881859213099*p^124*q^ 1736+7454804967010*p^122*q^1738+52331652159021*p^120*q^1740+241799471681396*p^ 118*q^1742+491962319086860*p^116*q^1744+347101453550212*p^114*q^1746+ 100620000698497*p^112*q^1748+17879192253122*p^110*q^1750+2508419575497*p^108*q^ 1752+304818540472*p^106*q^1754+32069591445*p^104*q^1756+2966016574*p^102*q^1758 +237205278*p^100*q^1760+10130536*p^98*q^1762+519110*p^96*q^1764+15368*p^94*q^ 1766+10888*p^137*q^1722+1012382*p^135*q^1724+5043446*p^133*q^1726+181470422*p^ 131*q^1728+2003127543*p^129*q^1730+26308865140*p^127*q^1732+274883754471*p^125* q^1734+2478547498150*p^123*q^1736+19547680887041*p^121*q^1738+117152826839018*p ^119*q^1740+386541565950997*p^117*q^1742+476798446862306*p^115*q^1744+ 210915645549197*p^113*q^1746+46147047590154*p^111*q^1748+7186563544470*p^109*q^ 1750+936402486054*p^107*q^1752+106315903600*p^105*q^1754+10450824914*p^103*q^ 1756+895576401*p^101*q^1758+62707010*p^99*q^1760+2040217*p^97*q^1762+215738*p^ 95*q^1764+836*p^93*q^1766+56*p^138*q^1720+85564*p^136*q^1722+2903406*p^134*q^ 1724+31716870*p^132*q^1726+591974272*p^130*q^1728+7130921868*p^128*q^1730+ 81554567642*p^126*q^1732+797624639806*p^124*q^1734+6771851211939*p^122*q^1736+ 48386714644738*p^120*q^1738+229309795451304*p^118*q^1740+492427845128774*p^116* q^1742+363394477918426*p^114*q^1744+109340484398774*p^112*q^1746+19623421505818 *p^110*q^1748+2780496214814*p^108*q^1750+338448296480*p^106*q^1752+35910767406* p^104*q^1754+3310722831*p^102*q^1756+268632112*p^100*q^1758+12885084*p^98*q^ 1760+417252*p^96*q^1762+27940*p^94*q^1764+2*p^141*q^1716+4*p^139*q^1718+3048*p^ 137*q^1720+769752*p^135*q^1722+5216186*p^133*q^1724+152652996*p^131*q^1726+ 1786434410*p^129*q^1728+23552087292*p^127*q^1730+246600182152*p^125*q^1732+ 2249406398727*p^123*q^1734+17838869494102*p^121*q^1736+109621601714617*p^119*q^ 1738+374399738794132*p^117*q^1740+489431607054080*p^115*q^1742+224902485999340* p^113*q^1744+50565333826089*p^111*q^1746+7919535144848*p^109*q^1748+ 1040224442144*p^107*q^1750+118509981528*p^105*q^1752+11696736339*p^103*q^1754+ 1013499714*p^101*q^1756+74104282*p^99*q^1758+2285758*p^97*q^1760+193638*p^95*q^ 1762+1980*p^93*q^1764+66852*p^136*q^1720+3241318*p^134*q^1722+23907514*p^132*q^ 1724+544492936*p^130*q^1726+6250657616*p^128*q^1728+73120626728*p^126*q^1730+ 719152295475*p^124*q^1732+6167586803136*p^122*q^1734+44490371417064*p^120*q^ 1736+218134449792566*p^118*q^1738+488816912593331*p^116*q^1740+381644333442508* p^114*q^1742+118175030432586*p^112*q^1744+21617673719996*p^110*q^1746+ 3071459820280*p^108*q^1748+376886427094*p^106*q^1750+40047147858*p^104*q^1752+ 3707890228*p^102*q^1754+299856690*p^100*q^1756+15849636*p^98*q^1758+399190*p^96 *q^1760+54172*p^94*q^1762+24*p^92*q^1764+8*p^141*q^1714+1640*p^137*q^1718+ 571682*p^135*q^1720+6112794*p^133*q^1722+126336728*p^131*q^1724+1629012714*p^ 129*q^1726+20944621278*p^127*q^1728+221619420175*p^125*q^1730+2033375786394*p^ 123*q^1732+16330105882641*p^121*q^1734+101906482339284*p^119*q^1736+ 363773901899773*p^117*q^1738+498373636527408*p^115*q^1740+240630851119625*p^113 *q^1742+55147771659386*p^111*q^1744+8753296654674*p^109*q^1746+1152761647508*p^ 107*q^1748+132199247947*p^105*q^1750+13125022054*p^103*q^1752+1146396816*p^101* q^1754+85567920*p^99*q^1756+2852680*p^97*q^1758+148482*p^95*q^1760+2192*p^93*q^ 1762+28*p^140*q^1714+72*p^138*q^1716+39248*p^136*q^1718+2945696*p^134*q^1720+ 18826262*p^132*q^1722+490473487*p^130*q^1724+5461390428*p^128*q^1726+ 65462758364*p^126*q^1728+649497073944*p^124*q^1730+5596422664202*p^122*q^1732+ 41039438974668*p^120*q^1734+206031129400426*p^118*q^1736+486818401391108*p^116* q^1738+397836825685969*p^114*q^1740+128131224069986*p^112*q^1742+23709733281319 *p^110*q^1744+3402216737882*p^108*q^1746+418011229095*p^106*q^1748+44736551296* p^104*q^1750+4126748568*p^102*q^1752+331397298*p^100*q^1754+19918368*p^98*q^ 1756+460856*p^96*q^1758+59644*p^94*q^1760+184*p^92*q^1762+184*p^137*q^1716+ 356006*p^135*q^1718+7684064*p^133*q^1720+103132488*p^131*q^1722+1495172728*p^ 129*q^1724+18674377307*p^127*q^1726+198796432742*p^125*q^1728+1844257427863*p^ 123*q^1730+14887302549614*p^121*q^1732+95083004572288*p^119*q^1734+ 350630334291590*p^117*q^1736+509056610863389*p^115*q^1738+255686244387822*p^113 *q^1740+60340344705751*p^111*q^1742+9640172818666*p^109*q^1744+1279661817977*p^ 107*q^1746+147257488244*p^105*q^1748+14711968379*p^103*q^1750+1287285108*p^101* q^1752+99648273*p^99*q^1754+3531032*p^97*q^1756+79602*p^95*q^1758+9048*p^93*q^ 1760+136*p^140*q^1712+4*p^138*q^1714+21568*p^136*q^1716+2701166*p^134*q^1718+ 16596444*p^132*q^1720+430625008*p^130*q^1722+4828664069*p^128*q^1724+ 58665770286*p^126*q^1726+585007090174*p^124*q^1728+5091680059980*p^122*q^1730+ 37664049304960*p^120*q^1732+195196794652568*p^118*q^1734+480622644845669*p^116* q^1736+416096291862872*p^114*q^1738+138166549794898*p^112*q^1740+26101178133210 *p^110*q^1742+3759053400811*p^108*q^1744+465764117894*p^106*q^1746+50011448194* p^104*q^1748+4644419506*p^102*q^1750+381587547*p^100*q^1752+24116494*p^98*q^ 1754+570834*p^96*q^1756+62300*p^94*q^1758+48*p^92*q^1760+156*p^139*q^1712+648*p ^137*q^1714+283364*p^135*q^1716+8082074*p^133*q^1718+81081752*p^131*q^1720+ 1377820730*p^129*q^1722+16461072854*p^127*q^1724+178585904734*p^125*q^1726+ 1665359441624*p^123*q^1728+13606681868227*p^121*q^1730+88159551413518*p^119*q^ 1732+339047771285634*p^117*q^1734+515665295982944*p^115*q^1736+272704843461193* p^113*q^1738+65699386861174*p^111*q^1740+10646077857387*p^109*q^1742+ 1416112972476*p^107*q^1744+163911506915*p^105*q^1746+16398744068*p^103*q^1748+ 1431141614*p^101*q^1750+106991598*p^99*q^1752+4382158*p^97*q^1754+74638*p^95*q^ 1756+11902*p^93*q^1758+8*p^91*q^1760+8*p^140*q^1710+6420*p^136*q^1714+1848032*p ^134*q^1716+17357914*p^132*q^1718+370590642*p^130*q^1720+4284134994*p^128*q^ 1722+52531972489*p^126*q^1724+527630341646*p^124*q^1726+4616569351185*p^122*q^ 1728+34675726767324*p^120*q^1730+183713490527747*p^118*q^1732+476090628665828*p ^116*q^1734+431718215340881*p^114*q^1736+149486362855466*p^112*q^1738+ 28597772286917*p^110*q^1740+4162679697214*p^108*q^1742+516910150273*p^106*q^ 1744+55926256590*p^104*q^1746+5222137947*p^102*q^1748+430134322*p^100*q^1750+ 30131651*p^98*q^1752+747058*p^96*q^1754+26348*p^94*q^1756+872*p^92*q^1758+1012* p^139*q^1710+252*p^137*q^1712+183286*p^135*q^1714+8670908*p^133*q^1716+65503662 *p^131*q^1718+1263919450*p^129*q^1720+14597792829*p^127*q^1722+160160455114*p^ 125*q^1724+1509723782294*p^123*q^1726+12389195424868*p^121*q^1728+ 82012048655961*p^119*q^1730+325343648633232*p^117*q^1732+523951603801571*p^115* q^1734+288743568085076*p^113*q^1736+71799077010914*p^111*q^1738+11717537855100* p^109*q^1740+1572039886916*p^107*q^1742+182490121698*p^105*q^1744+18393159607*p ^103*q^1746+1598213288*p^101*q^1748+123907892*p^99*q^1750+5800614*p^97*q^1752+ 95886*p^95*q^1754+19864*p^93*q^1756+8*p^140*q^1708+440*p^138*q^1710+4296*p^136* q^1712+1467576*p^134*q^1714+18720658*p^132*q^1716+310831806*p^130*q^1718+ 3848012985*p^128*q^1720+46972565864*p^126*q^1722+474591629778*p^124*q^1724+ 4195774187932*p^122*q^1726+31761447705655*p^120*q^1728+173391711510234*p^118*q^ 1730+467688216032819*p^116*q^1732+449443559380564*p^114*q^1734+160770694649699* p^112*q^1736+31453705804710*p^110*q^1738+4595873788531*p^108*q^1740+ 575003512324*p^106*q^1742+62401297731*p^104*q^1744+5853606936*p^102*q^1746+ 486721282*p^100*q^1748+33302096*p^98*q^1750+796010*p^96*q^1752+9136*p^94*q^1754 +1528*p^92*q^1756+346*p^139*q^1708+16*p^137*q^1710+89164*p^135*q^1712+7537118*p ^133*q^1714+54119040*p^131*q^1716+1138643276*p^129*q^1718+12833710514*p^127*q^ 1720+143797070683*p^125*q^1722+1362168512936*p^123*q^1724+11311955601536*p^121* q^1726+75843786818116*p^119*q^1728+313107241338698*p^117*q^1730+528071273824664 *p^115*q^1732+306828979888010*p^113*q^1734+78041061898316*p^111*q^1736+ 12937243864592*p^109*q^1738+1738812361242*p^107*q^1740+203393468825*p^105*q^ 1742+20538231966*p^103*q^1744+1794118410*p^101*q^1746+137727826*p^99*q^1748+ 7605363*p^97*q^1750+149862*p^95*q^1752+12024*p^93*q^1754+32*p^91*q^1756+4198*p^ 138*q^1708+4416*p^136*q^1710+1115848*p^134*q^1712+20646586*p^132*q^1714+ 258405182*p^130*q^1716+3498752910*p^128*q^1718+41956736980*p^126*q^1720+ 427931364416*p^124*q^1722+3801136760841*p^122*q^1724+29191323217336*p^120*q^ 1726+162595838478626*p^118*q^1728+460806395690740*p^116*q^1730+464240745727847* p^114*q^1732+173492817688738*p^112*q^1734+34429640302858*p^110*q^1736+ 5087352562184*p^108*q^1738+638030434900*p^106*q^1740+69676286176*p^104*q^1742+ 6580989836*p^102*q^1744+543244024*p^100*q^1746+39179794*p^98*q^1748+1167938*p^ 96*q^1750+11844*p^94*q^1752+3760*p^92*q^1754+144*p^139*q^1706+680*p^137*q^1708+ 36640*p^135*q^1710+6146288*p^133*q^1712+50706346*p^131*q^1714+1008553308*p^129* q^1716+11349985126*p^127*q^1718+128869706880*p^125*q^1720+1232982635427*p^123*q ^1722+10285151718204*p^121*q^1724+70381473707514*p^119*q^1726+299086123450958*p ^117*q^1728+533709176709735*p^115*q^1730+323725358486398*p^113*q^1732+ 85139943171362*p^111*q^1734+14226605524178*p^109*q^1736+1930026609403*p^107*q^ 1738+226166684340*p^105*q^1740+23036394210*p^103*q^1742+2004029012*p^101*q^1744 +157608332*p^99*q^1746+9090824*p^97*q^1748+131706*p^95*q^1750+1302*p^93*q^1752+ 144*p^91*q^1754+3836*p^138*q^1706+704*p^136*q^1708+715736*p^134*q^1710+21893988 *p^132*q^1712+208780060*p^130*q^1714+3188425360*p^128*q^1716+37418526890*p^126* q^1718+384633432519*p^124*q^1720+3452292437474*p^122*q^1722+26696654282061*p^ 120*q^1724+152955237843936*p^118*q^1726+450317545630237*p^116*q^1728+ 480960679133128*p^114*q^1730+186113013000038*p^112*q^1732+37823015885114*p^110* q^1734+5613749516029*p^108*q^1736+709082852888*p^106*q^1738+77730968034*p^104*q ^1740+7363396280*p^102*q^1742+609863628*p^100*q^1744+44174452*p^98*q^1746+ 1599172*p^96*q^1748+25180*p^94*q^1750+4348*p^92*q^1752+40*p^139*q^1704+10304*p^ 137*q^1706+42408*p^135*q^1708+5174388*p^133*q^1710+48597814*p^131*q^1712+ 881887632*p^129*q^1714+10060263310*p^127*q^1716+115650134930*p^125*q^1718+ 1111878267876*p^123*q^1720+9379860053230*p^121*q^1722+64915733822068*p^119*q^ 1724+286598179713225*p^117*q^1726+534989952913598*p^115*q^1728+342687328250277* p^113*q^1730+92402518266938*p^111*q^1732+15698767064373*p^109*q^1734+ 2134828892616*p^107*q^1736+252315226722*p^105*q^1738+25750040268*p^103*q^1740+ 2273363204*p^101*q^1742+178733494*p^99*q^1744+10985576*p^97*q^1746+188426*p^95* q^1748+958*p^93*q^1750+340*p^91*q^1752+1552*p^138*q^1704+1224*p^136*q^1706+ 356094*p^134*q^1708+20148118*p^132*q^1710+176433640*p^130*q^1712+2894909440*p^ 128*q^1714+33193655329*p^126*q^1716+346356515418*p^124*q^1718+3124105646915*p^ 122*q^1720+24490497691430*p^120*q^1722+142940836572361*p^118*q^1724+ 441518564139780*p^116*q^1726+494365213677850*p^114*q^1728+200283645641746*p^112 *q^1730+41357368339288*p^110*q^1732+6209740104120*p^108*q^1734+785798798175*p^ 106*q^1736+86623792580*p^104*q^1738+8237080148*p^102*q^1740+669161362*p^100*q^ 1742+48680660*p^98*q^1744+2035040*p^96*q^1746+22268*p^94*q^1748+476*p^92*q^1750 +8*p^90*q^1752+19858*p^137*q^1704+14064*p^135*q^1706+3896298*p^133*q^1708+ 51356580*p^131*q^1710+748942296*p^129*q^1712+9006400799*p^127*q^1714+ 103728132548*p^125*q^1716+1005675621734*p^123*q^1718+8522940644326*p^121*q^1720 +60097654612503*p^119*q^1722+272563902417742*p^117*q^1724+537936692990971*p^115 *q^1726+360067431193754*p^113*q^1728+100612066319903*p^111*q^1730+ 17254391631102*p^109*q^1732+2368457115185*p^107*q^1734+280550224928*p^105*q^ 1736+28890795027*p^103*q^1738+2560037868*p^101*q^1740+204983272*p^99*q^1742+ 13800892*p^97*q^1744+295538*p^95*q^1746+2968*p^93*q^1748+1016*p^91*q^1750+1032* p^138*q^1702+15038*p^136*q^1704+290604*p^134*q^1706+18739496*p^132*q^1708+ 151759154*p^130*q^1710+2623856286*p^128*q^1712+29495080346*p^126*q^1714+ 310968535395*p^124*q^1716+2834939770090*p^122*q^1718+22362564091102*p^120*q^ 1720+134002032258284*p^118*q^1722+429231544995884*p^116*q^1724+509787639047776* p^114*q^1726+214214918581922*p^112*q^1728+45389871165752*p^110*q^1730+ 6850470974257*p^108*q^1732+873498659918*p^106*q^1734+96688995179*p^104*q^1736+ 9235733326*p^102*q^1738+754119694*p^100*q^1740+56072338*p^98*q^1742+2464456*p^ 96*q^1744+23152*p^94*q^1746+40*p^92*q^1748+8*p^90*q^1750+16*p^139*q^1700+12164* p^137*q^1702+10288*p^135*q^1704+2542790*p^133*q^1706+51826856*p^131*q^1708+ 632499878*p^129*q^1710+8068266898*p^127*q^1712+92911825872*p^125*q^1714+ 906129152168*p^123*q^1716+7761805898485*p^121*q^1718+55318834546706*p^119*q^ 1720+260052784133104*p^117*q^1722+536332943831426*p^115*q^1724+379711775035623* p^113*q^1726+108966533028122*p^111*q^1728+19021704837266*p^109*q^1730+ 2617897777598*p^107*q^1732+312339890495*p^105*q^1734+32197824638*p^103*q^1736+ 2877709520*p^101*q^1738+225156576*p^99*q^1740+14716394*p^97*q^1742+370234*p^95* q^1744+3646*p^93*q^1746+158*p^91*q^1748+48*p^138*q^1700+56084*p^136*q^1702+ 164622*p^134*q^1704+15748950*p^132*q^1706+136407770*p^130*q^1708+2333190738*p^ 128*q^1710+26131842616*p^126*q^1712+279892202284*p^124*q^1714+2563079591993*p^ 122*q^1716+20485055534898*p^120*q^1718+124852803537364*p^118*q^1720+ 418698840398672*p^116*q^1722+521320902143092*p^114*q^1724+229888687853440*p^112 *q^1726+49563334870068*p^110*q^1728+7575165236032*p^108*q^1730+968198807787*p^ 106*q^1732+107880647648*p^104*q^1734+10363251920*p^102*q^1736+848613472*p^100*q ^1738+64520817*p^98*q^1740+3667480*p^96*q^1742+47844*p^94*q^1744+208*p^92*q^ 1746+136*p^90*q^1748+10346*p^137*q^1700+15988*p^135*q^1702+1737266*p^133*q^1704 +52896116*p^131*q^1706+539454452*p^129*q^1708+7328796980*p^127*q^1710+ 83188142696*p^125*q^1712+818984867720*p^123*q^1714+7046426570314*p^121*q^1716+ 51086788124862*p^119*q^1718+246350931606400*p^117*q^1720+536366503361524*p^115* q^1722+397288220445300*p^113*q^1724+118443628887238*p^111*q^1726+20890373985034 *p^109*q^1728+2903370427493*p^107*q^1730+347024834506*p^105*q^1732+36105082211* p^103*q^1734+3229005240*p^101*q^1736+249929354*p^99*q^1738+17366334*p^97*q^1740 +434006*p^95*q^1742+2012*p^93*q^1744+294*p^138*q^1698+59418*p^136*q^1700+95060* p^134*q^1702+12525726*p^132*q^1704+128940432*p^130*q^1706+2043462094*p^128*q^ 1708+23213472720*p^126*q^1710+251046956961*p^124*q^1712+2323544879208*p^122*q^ 1714+18675830739073*p^120*q^1716+116666203244006*p^118*q^1718+405123548135259*p ^116*q^1720+534851296348336*p^114*q^1722+245089545740108*p^112*q^1724+ 54335285699824*p^110*q^1726+8350335367048*p^108*q^1728+1075750248312*p^106*q^ 1730+120341896063*p^104*q^1732+11605099270*p^102*q^1734+962095132*p^100*q^1736+ 74330874*p^98*q^1738+4120043*p^96*q^1740+55788*p^94*q^1742+456*p^92*q^1744+28*p ^90*q^1746+2564*p^137*q^1698+92130*p^135*q^1700+1253012*p^133*q^1702+49414370*p ^131*q^1704+455711338*p^129*q^1706+6615991090*p^127*q^1708+74263691037*p^125*q^ 1710+737319251922*p^123*q^1712+6411610037911*p^121*q^1714+46926003070186*p^119* q^1716+234061003970352*p^117*q^1718+532041750351174*p^115*q^1720+ 417155994621137*p^113*q^1722+127989793781630*p^111*q^1724+23016630220572*p^109* q^1726+3207473476276*p^107*q^1728+386095617732*p^105*q^1730+40221118400*p^103*q ^1732+3618349255*p^101*q^1734+275520800*p^99*q^1736+18954960*p^97*q^1738+733444 *p^95*q^1740+6084*p^93*q^1742+8*p^91*q^1744+8*p^89*q^1746+28*p^138*q^1696+59264 *p^136*q^1698+61044*p^134*q^1700+9044320*p^132*q^1702+128831392*p^130*q^1704+ 1788859028*p^128*q^1706+20678335294*p^126*q^1708+226072040838*p^124*q^1710+ 2099463073002*p^122*q^1712+17086253262772*p^120*q^1714+108372654150893*p^118*q^ 1716+393172733275982*p^116*q^1718+544272860042302*p^114*q^1720+262167252235408* p^112*q^1722+59255224494381*p^110*q^1724+9231689426780*p^108*q^1726+ 1192068052270*p^106*q^1728+134348289422*p^104*q^1730+13043576235*p^102*q^1732+ 1096453200*p^100*q^1734+83361386*p^98*q^1736+5154894*p^96*q^1738+64916*p^94*q^ 1740+88*p^92*q^1742+2570*p^137*q^1696+170012*p^135*q^1698+732296*p^133*q^1700+ 44642380*p^131*q^1702+394753036*p^129*q^1704+5946767640*p^127*q^1706+ 66246277564*p^125*q^1708+665183204547*p^123*q^1710+5812986362022*p^121*q^1712+ 43248493106696*p^119*q^1714+220838062232428*p^117*q^1716+529221140462181*p^115* q^1718+434662341623938*p^113*q^1720+138813411220765*p^111*q^1722+25251426534108 *p^109*q^1724+3555590545706*p^107*q^1726+428746925954*p^105*q^1728+45001149188* p^103*q^1730+4045801616*p^101*q^1732+305179658*p^99*q^1734+22512494*p^97*q^1736 +958956*p^95*q^1738+7276*p^93*q^1740+28*p^91*q^1742+2*p^89*q^1744+32896*p^136*q ^1696+110672*p^134*q^1698+6901282*p^132*q^1700+128138216*p^130*q^1702+ 1539114885*p^128*q^1704+18562135398*p^126*q^1706+202682697242*p^124*q^1708+ 1902276422400*p^122*q^1710+15558636956531*p^120*q^1712+100995030962450*p^118*q^ 1714+378596743978321*p^116*q^1716+555459536389152*p^114*q^1718+278609634421295* p^112*q^1720+64857771273200*p^110*q^1722+10169871556167*p^108*q^1724+ 1324010516340*p^106*q^1726+149571751658*p^104*q^1728+14619612802*p^102*q^1730+ 1232895438*p^100*q^1732+92792938*p^98*q^1734+5633009*p^96*q^1736+103640*p^94*q^ 1738+540*p^92*q^1740+1092*p^137*q^1694+216164*p^135*q^1696+523530*p^133*q^1698+ 37261588*p^131*q^1700+351519196*p^129*q^1702+5329082640*p^127*q^1704+ 58990549014*p^125*q^1706+598464761846*p^123*q^1708+5284070581683*p^121*q^1710+ 39644238031414*p^119*q^1712+209023459819984*p^117*q^1714+522102636123904*p^115* q^1716+454354861929361*p^113*q^1718+149692745662420*p^111*q^1720+27802901480119 *p^109*q^1722+3927423626440*p^107*q^1724+477291723316*p^105*q^1726+50317084180* p^103*q^1728+4554678051*p^101*q^1730+352047548*p^99*q^1732+26254156*p^97*q^1734 +1279728*p^95*q^1736+8060*p^93*q^1738+17372*p^136*q^1694+298242*p^134*q^1696+ 4648920*p^132*q^1698+123831502*p^130*q^1700+1325013450*p^128*q^1702+16615567685 *p^126*q^1704+182139132764*p^124*q^1706+1717143494568*p^122*q^1708+ 14212503705868*p^120*q^1710+93541457015099*p^118*q^1712+365776103216086*p^116*q ^1714+562291753743436*p^114*q^1716+297005768231770*p^112*q^1718+70633386088067* p^110*q^1720+11233393479658*p^108*q^1722+1465654071751*p^106*q^1724+ 166620385054*p^104*q^1726+16311225140*p^102*q^1728+1378405240*p^100*q^1730+ 97765542*p^98*q^1732+6242374*p^96*q^1734+172035*p^94*q^1736+772*p^92*q^1738+72* p^137*q^1692+198460*p^135*q^1694+310796*p^133*q^1696+29761852*p^131*q^1698+ 330084082*p^129*q^1700+4733684158*p^127*q^1702+52596702484*p^125*q^1704+ 539799449473*p^123*q^1706+4787498596072*p^121*q^1708+36469095825313*p^119*q^ 1710+196474369197170*p^117*q^1712+516680144865795*p^115*q^1714+471195390079740* p^113*q^1716+161941678556879*p^111*q^1718+30478100455588*p^109*q^1720+ 4351854017187*p^107*q^1722+530012641442*p^105*q^1724+56344692556*p^103*q^1726+ 5133351456*p^101*q^1728+401449581*p^99*q^1730+30905584*p^97*q^1732+1653362*p^95 *q^1734+11484*p^93*q^1736+28*p^91*q^1738+4*p^138*q^1690+14420*p^136*q^1692+ 504024*p^134*q^1694+3474403*p^132*q^1696+117096738*p^130*q^1698+1138050490*p^ 128*q^1700+14989470992*p^126*q^1702+163142714958*p^124*q^1704+1554282547308*p^ 122*q^1706+12928020644012*p^120*q^1708+86922981474174*p^118*q^1710+ 350506647275951*p^116*q^1712+570989196318722*p^114*q^1714+314475711318100*p^112 *q^1716+77206455789006*p^110*q^1718+12371330661287*p^108*q^1720+1627674116148*p ^106*q^1722+185525861757*p^104*q^1724+18306015142*p^102*q^1726+1546374916*p^100 *q^1728+110682334*p^98*q^1730+7523922*p^96*q^1732+231452*p^94*q^1734+620*p^92*q ^1736+60*p^137*q^1690+112564*p^135*q^1692+479992*p^133*q^1694+22891290*p^131*q^ 1696+311864996*p^129*q^1698+4162728766*p^127*q^1700+46859030644*p^125*q^1702+ 485005485638*p^123*q^1704+4346717630098*p^121*q^1706+33371951282628*p^119*q^ 1708+185264179152618*p^117*q^1710+507050685808576*p^115*q^1712+490390962348015* p^113*q^1714+174180366752912*p^111*q^1716+33518778131103*p^109*q^1718+ 4804075665724*p^107*q^1720+589425658727*p^105*q^1722+62811332722*p^103*q^1724+ 5741926853*p^101*q^1726+453588094*p^99*q^1728+32611410*p^97*q^1730+1652056*p^95 *q^1732+21901*p^93*q^1734+44*p^91*q^1736+2698*p^136*q^1690+681466*p^134*q^1692+ 2098110*p^132*q^1694+102673964*p^130*q^1696+994710300*p^128*q^1698+13451407656* p^126*q^1700+146305517378*p^124*q^1702+1402108631745*p^122*q^1704+ 11795856350716*p^120*q^1706+80320057728044*p^118*q^1708+337058872157514*p^116*q ^1710+574877239192712*p^114*q^1712+334097240590222*p^112*q^1714+83925036660768* p^110*q^1716+13658409101668*p^108*q^1718+1801372711503*p^106*q^1720+ 206692320194*p^104*q^1722+20486679149*p^102*q^1724+1746586410*p^100*q^1726+ 123727830*p^98*q^1728+9213990*p^96*q^1730+412618*p^94*q^1732+1384*p^92*q^1734+ 72*p^137*q^1688+102902*p^135*q^1690+810050*p^133*q^1692+17753467*p^131*q^1694+ 304996652*p^129*q^1696+3649630668*p^127*q^1698+41929914830*p^125*q^1700+ 437340609734*p^123*q^1702+3935572020278*p^121*q^1704+30640798101069*p^119*q^ 1706+173546883078156*p^117*q^1708+499114598718637*p^115*q^1710+506130512443786* p^113*q^1712+187997672823650*p^111*q^1714+36709757547380*p^109*q^1716+ 5321523003061*p^107*q^1718+654488107932*p^105*q^1720+70290477485*p^103*q^1722+ 6467986638*p^101*q^1724+511657980*p^99*q^1726+36815406*p^97*q^1728+2056216*p^95 *q^1730+27676*p^93*q^1732+16*p^91*q^1734+1628*p^136*q^1688+545296*p^134*q^1690+ 1681396*p^132*q^1692+87150666*p^130*q^1694+880315380*p^128*q^1696+12071708986*p ^126*q^1698+130647655552*p^124*q^1700+1267489206846*p^122*q^1702+10714412862980 *p^120*q^1704+74432058847876*p^118*q^1706+321620004417080*p^116*q^1708+ 580654720142178*p^114*q^1710+352384233263063*p^112*q^1712+91599085401308*p^110* q^1714+15026870797685*p^108*q^1716+1999330602740*p^106*q^1718+229922797390*p^ 104*q^1720+22968892556*p^102*q^1722+1949065354*p^100*q^1724+140656040*p^98*q^ 1726+10311862*p^96*q^1728+401492*p^94*q^1730+1668*p^92*q^1732+12*p^137*q^1686+ 40804*p^135*q^1688+1442788*p^133*q^1690+12643954*p^131*q^1692+288278890*p^129*q ^1694+3172333882*p^127*q^1696+37524543189*p^125*q^1698+392830727968*p^123*q^ 1700+3571212428699*p^121*q^1702+27996380629920*p^119*q^1704+163063214649268*p^ 117*q^1706+487375308709116*p^115*q^1708+524181488136046*p^113*q^1710+ 201622292325340*p^111*q^1712+40336273910796*p^109*q^1714+5871559085876*p^107*q^ 1716+727452913270*p^105*q^1718+78309053588*p^103*q^1720+7237764547*p^101*q^1722 +579716624*p^99*q^1724+39664450*p^97*q^1726+2421688*p^95*q^1728+76236*p^93*q^ 1730+152*p^91*q^1732+728*p^136*q^1686+496246*p^134*q^1688+1662622*p^132*q^1690+ 71946344*p^130*q^1692+805976586*p^128*q^1694+10770431218*p^126*q^1696+ 117000716090*p^124*q^1698+1142330557124*p^122*q^1700+9765551681706*p^120*q^1702 +68604646308424*p^118*q^1704+307841262453012*p^116*q^1706+581626330568510*p^114 *q^1708+372913026617664*p^112*q^1710+99398532434708*p^110*q^1712+16586817505716 *p^108*q^1714+2212243611445*p^106*q^1716+256419287818*p^104*q^1718+25729049802* p^102*q^1720+2211051644*p^100*q^1722+160379164*p^98*q^1724+12005548*p^96*q^1726 +534654*p^94*q^1728+2056*p^92*q^1730+21384*p^135*q^1686+1684900*p^133*q^1688+ 8915458*p^131*q^1690+265883906*p^129*q^1692+2769526631*p^127*q^1694+33656684920 *p^125*q^1696+353737145187*p^123*q^1698+3229975974672*p^121*q^1700+ 25664813288533*p^119*q^1702+152233685883052*p^117*q^1704+477260559257840*p^115* q^1706+538490011312144*p^113*q^1708+216999678405253*p^111*q^1710+44117394249132 *p^109*q^1712+6499273300175*p^107*q^1714+806904655878*p^105*q^1716+87362838361* p^103*q^1718+8122388336*p^101*q^1720+645406028*p^99*q^1722+42799872*p^97*q^1724 +2871764*p^95*q^1726+84620*p^93*q^1728+56*p^91*q^1730+520*p^136*q^1684+323110*p ^134*q^1686+2287942*p^132*q^1688+58091980*p^130*q^1690+750456680*p^128*q^1692+ 9559483400*p^126*q^1694+104476128873*p^124*q^1696+1031979946706*p^122*q^1698+ 8861807624610*p^120*q^1700+63438293100616*p^118*q^1702+292468239888531*p^116*q^ 1704+584245955505350*p^114*q^1706+391803206947991*p^112*q^1708+108272663649182* p^110*q^1710+18234653960370*p^108*q^1712+2455480205652*p^106*q^1714+ 285148322389*p^104*q^1716+28887251416*p^102*q^1718+2481277388*p^100*q^1720+ 184526328*p^98*q^1722+13933348*p^96*q^1724+617520*p^94*q^1726+9202*p^92*q^1728+ 8*p^90*q^1730+9800*p^135*q^1684+1721788*p^133*q^1686+7285566*p^131*q^1688+ 235340619*p^129*q^1690+2421652772*p^127*q^1692+30243068744*p^125*q^1694+ 317297856030*p^123*q^1696+2928069945568*p^121*q^1698+23411229545782*p^119*q^ 1700+142577739734515*p^117*q^1702+463626334599668*p^115*q^1704+554916300120015* p^113*q^1706+232107827138966*p^111*q^1708+48423874388154*p^109*q^1710+ 7169647434182*p^107*q^1712+896748787393*p^105*q^1714+97403870670*p^103*q^1716+ 9103632015*p^101*q^1718+729243130*p^99*q^1720+48073478*p^97*q^1722+3305262*p^95 *q^1724+110438*p^93*q^1726+80*p^91*q^1728+4*p^140*q^1678+52*p^136*q^1682+178170 *p^134*q^1684+3430036*p^132*q^1686+43048506*p^130*q^1688+707741674*p^128*q^1690 +8443795746*p^126*q^1692+93464277206*p^124*q^1694+929464358817*p^122*q^1696+ 8067771964482*p^120*q^1698+58332233190149*p^118*q^1700+278811842861210*p^116*q^ 1702+582080563876198*p^114*q^1704+412926477997684*p^112*q^1706+117271385358828* p^110*q^1708+20109264126228*p^108*q^1710+2713897891718*p^106*q^1712+ 317671335806*p^104*q^1714+32219944615*p^102*q^1716+2795041546*p^100*q^1718+ 207212384*p^98*q^1720+14249678*p^96*q^1722+703726*p^94*q^1724+15292*p^92*q^1726 +6436*p^135*q^1682+1534544*p^133*q^1684+5704054*p^131*q^1686+207014838*p^129*q^ 1688+2144840658*p^127*q^1690+27086175834*p^125*q^1692+285412831282*p^123*q^1694 +2646302841178*p^121*q^1696+21427926951642*p^119*q^1698+132689862206938*p^117*q ^1700+451799252983341*p^115*q^1702+567128725091712*p^113*q^1704+249031410181380 *p^111*q^1706+52909533161478*p^109*q^1708+7932273979995*p^107*q^1710+ 994932577130*p^105*q^1712+108755376685*p^103*q^1714+10257798498*p^101*q^1716+ 821598203*p^99*q^1718+54650138*p^97*q^1720+4516564*p^95*q^1722+161976*p^93*q^ 1724+608*p^91*q^1726+32*p^136*q^1680+109530*p^134*q^1682+4214214*p^132*q^1684+ 34865562*p^130*q^1686+657394134*p^128*q^1688+7456480396*p^126*q^1690+ 83726175037*p^124*q^1692+838972007462*p^122*q^1694+7315483959600*p^120*q^1696+ 53817990497316*p^118*q^1698+263749464070425*p^116*q^1700+581706913947752*p^114* q^1702+431980846133517*p^112*q^1704+127488208294032*p^110*q^1706+22093622798741 *p^108*q^1708+3011320676620*p^106*q^1710+353026088214*p^104*q^1712+36105985154* p^102*q^1714+3134889834*p^100*q^1716+235124286*p^98*q^1718+15635807*p^96*q^1720 +769358*p^94*q^1722+14420*p^92*q^1724+64*p^139*q^1676+4*p^137*q^1678+2262*p^135 *q^1680+1029826*p^133*q^1682+6486008*p^131*q^1684+169426198*p^129*q^1686+ 1929826332*p^127*q^1688+24209105867*p^125*q^1690+255334265974*p^123*q^1692+ 2396391975177*p^121*q^1694+19519380379160*p^119*q^1696+123865456190636*p^117*q^ 1698+436701348013596*p^115*q^1700+581605744384164*p^113*q^1702+265499443780480* p^111*q^1704+57998091418502*p^109*q^1706+8746281310344*p^107*q^1708+ 1104991318743*p^105*q^1710+121198794504*p^103*q^1712+11496415832*p^101*q^1714+ 925476464*p^99*q^1716+62287446*p^97*q^1718+4870890*p^95*q^1720+156534*p^93*q^ 1722+2192*p^91*q^1724+53868*p^134*q^1680+4739894*p^132*q^1682+25979284*p^130*q^ 1684+604621934*p^128*q^1686+6537869678*p^126*q^1688+75079523572*p^124*q^1690+ 755378187144*p^122*q^1692+6652691956418*p^120*q^1694+49397949439973*p^118*q^ 1696+250407387089082*p^116*q^1698+576395597217058*p^114*q^1700+453429300688684* p^112*q^1702+137768904720875*p^110*q^1704+24343361304066*p^108*q^1706+ 3327447986620*p^106*q^1708+393053361322*p^104*q^1710+40234723879*p^102*q^1712+ 3523794876*p^100*q^1714+264449048*p^98*q^1716+16187584*p^96*q^1718+1133492*p^94 *q^1720+36476*p^92*q^1722+16*p^90*q^1724+8*p^139*q^1674+880*p^135*q^1678+771094 *p^133*q^1680+8066424*p^131*q^1682+140893524*p^129*q^1684+1773829523*p^127*q^ 1686+21648446480*p^125*q^1688+229489028064*p^123*q^1690+2163877378976*p^121*q^ 1692+17841975516565*p^119*q^1694+114948755845778*p^117*q^1696+423414024923674*p ^115*q^1698+591298463291428*p^113*q^1700+284011140104121*p^111*q^1702+ 63277759350088*p^109*q^1704+9674287243516*p^107*q^1706+1225650490386*p^105*q^ 1708+135422315591*p^103*q^1710+12961646420*p^101*q^1712+1053867232*p^99*q^1714+ 71918936*p^97*q^1716+5758130*p^95*q^1718+174802*p^93*q^1720+952*p^91*q^1722+424 *p^138*q^1674+68*p^136*q^1676+35298*p^134*q^1678+4065680*p^132*q^1680+20985024* p^130*q^1682+541281110*p^128*q^1684+5748847650*p^126*q^1686+67186599956*p^124*q ^1688+680900841446*p^122*q^1690+6026337244884*p^120*q^1692+45467517264366*p^118 *q^1694+236003671159229*p^116*q^1696+572917241721004*p^114*q^1698+ 472235030644898*p^112*q^1700+149475311576624*p^110*q^1702+26721573425112*p^108* q^1704+3689356779028*p^106*q^1706+436586795522*p^104*q^1708+44982788586*p^102*q ^1710+3945040665*p^100*q^1712+294317346*p^98*q^1714+17774968*p^96*q^1716+ 1397078*p^94*q^1718+34634*p^92*q^1720+200*p^90*q^1722+144*p^135*q^1676+406616*p ^133*q^1678+10309202*p^131*q^1680+113273028*p^129*q^1682+1622760392*p^127*q^ 1684+19257819010*p^125*q^1686+205406180178*p^123*q^1688+1958405933308*p^121*q^ 1690+16230882965478*p^119*q^1692+106998834542817*p^117*q^1694+407377022850132*p ^115*q^1696+603201155465728*p^113*q^1698+301723599456336*p^111*q^1700+ 69277100398797*p^109*q^1702+10657045389376*p^107*q^1704+1360813466463*p^105*q^ 1706+150774980684*p^103*q^1708+14513521601*p^101*q^1710+1182715488*p^99*q^1712+ 82737856*p^97*q^1714+5731528*p^95*q^1716+210236*p^93*q^1718+5424*p^91*q^1720+ 232*p^138*q^1672+12*p^136*q^1674+13960*p^134*q^1676+3544796*p^132*q^1678+ 19200003*p^130*q^1680+472130254*p^128*q^1682+5107456817*p^126*q^1684+ 60320886396*p^124*q^1686+612224065905*p^122*q^1688+5475396109078*p^120*q^1690+ 41653968509556*p^118*q^1692+223135658293726*p^116*q^1694+564790916371054*p^114* q^1696+493427425068964*p^112*q^1698+161156058026416*p^110*q^1700+29428827373344 *p^108*q^1702+4076950642446*p^106*q^1704+486246276000*p^104*q^1706+50252497397* p^102*q^1708+4462710754*p^100*q^1710+338939260*p^98*q^1712+20115254*p^96*q^1714 +1911221*p^94*q^1716+38118*p^92*q^1718+24*p^90*q^1720+1508*p^137*q^1672+564*p^ 135*q^1674+296114*p^133*q^1676+11017758*p^131*q^1678+89459328*p^129*q^1680+ 1501905864*p^127*q^1682+17060149520*p^125*q^1684+184434979115*p^123*q^1686+ 1766801582106*p^121*q^1688+14817620901156*p^119*q^1690+99008593720258*p^117*q^ 1692+393092983663819*p^115*q^1694+610184026354704*p^113*q^1696+321638495137058* p^111*q^1698+75459253436614*p^109*q^1700+11780666938897*p^107*q^1702+ 1507406892222*p^105*q^1704+168149949873*p^103*q^1706+16233420020*p^101*q^1708+ 1325839764*p^99*q^1710+90804072*p^97*q^1712+5656568*p^95*q^1714+303844*p^93*q^ 1716+7568*p^91*q^1718+8*p^89*q^1720+16*p^138*q^1670+5432*p^134*q^1674+2404032*p ^132*q^1676+20848998*p^130*q^1678+407294477*p^128*q^1680+4555904366*p^126*q^ 1682+54014938518*p^124*q^1684+551417893404*p^122*q^1686+4955546395072*p^120*q^ 1688+38275499297740*p^118*q^1690+209524719947565*p^116*q^1692+558325707324916*p ^114*q^1694+511613827418727*p^112*q^1696+174397623606662*p^110*q^1698+ 32270725351873*p^108*q^1700+4519413062594*p^106*q^1702+540105996964*p^104*q^ 1704+56268109218*p^102*q^1706+5039815374*p^100*q^1708+383623160*p^98*q^1710+ 23951192*p^96*q^1712+2236184*p^94*q^1714+34600*p^92*q^1716+408*p^90*q^1718+2148 *p^137*q^1670+476*p^135*q^1672+158784*p^133*q^1674+11178104*p^131*q^1676+ 72389957*p^129*q^1678+1362153218*p^127*q^1680+15136597701*p^125*q^1682+ 165111752270*p^123*q^1684+1597725042812*p^121*q^1686+13463228565866*p^119*q^ 1688+91917076124083*p^117*q^1690+376390742988430*p^115*q^1692+619144084394401*p ^113*q^1694+340542686746020*p^111*q^1696+82495460701649*p^109*q^1698+ 12972005000530*p^107*q^1700+1673891611348*p^105*q^1702+187181524732*p^103*q^ 1704+18163201714*p^101*q^1706+1483477628*p^99*q^1708+105116300*p^97*q^1710+ 5771248*p^95*q^1712+456498*p^93*q^1714+6692*p^91*q^1716+12*p^138*q^1668+3128*p^ 136*q^1670+3484*p^134*q^1672+1714038*p^132*q^1674+23367638*p^130*q^1676+ 338462978*p^128*q^1678+4111051017*p^126*q^1680+48302289868*p^124*q^1682+ 495209017472*p^122*q^1684+4497370195198*p^120*q^1686+34996345084537*p^118*q^ 1688+197407089245632*p^116*q^1690+547510551578012*p^114*q^1692+532078414627148* p^112*q^1694+187580224848093*p^110*q^1696+35498905094314*p^108*q^1698+ 4990275792599*p^106*q^1700+600833145066*p^104*q^1702+62764122025*p^102*q^1704+ 5667147196*p^100*q^1706+435750302*p^98*q^1708+26383480*p^96*q^1710+2156176*p^94 *q^1712+47928*p^92*q^1714+1336*p^90*q^1716+552*p^137*q^1668+28*p^135*q^1670+ 78272*p^133*q^1672+9730280*p^131*q^1674+60931870*p^129*q^1676+1234894741*p^127* q^1678+13383494788*p^125*q^1680+148438855339*p^123*q^1682+1440418327960*p^121*q ^1684+12276958560630*p^119*q^1686+84837118755136*p^117*q^1688+361598142798417*p ^115*q^1690+622927526592790*p^113*q^1692+361646546345892*p^111*q^1694+ 89718704169242*p^109*q^1696+14331046198043*p^107*q^1698+1853637461794*p^105*q^ 1700+208876157914*p^103*q^1702+20325131632*p^101*q^1704+1682131824*p^99*q^1706+ 118315028*p^97*q^1708+6358564*p^95*q^1710+739548*p^93*q^1712+6922*p^91*q^1714+8 *p^89*q^1716+9544*p^136*q^1668+6028*p^134*q^1670+1202058*p^132*q^1672+26033714* p^130*q^1674+284338058*p^128*q^1676+3732390386*p^126*q^1678+43199078205*p^124*q ^1680+445586633530*p^122*q^1682+4067789597133*p^120*q^1684+32099538535470*p^118 *q^1686+184676092324988*p^116*q^1688+538495228097206*p^114*q^1690+ 548994085513826*p^112*q^1692+202470844936020*p^110*q^1694+38897724265581*p^108* q^1696+5529706570918*p^106*q^1698+667293508346*p^104*q^1700+70217322492*p^102*q ^1702+6393086801*p^100*q^1704+488508222*p^98*q^1706+31329214*p^96*q^1708+ 2219968*p^94*q^1710+68927*p^92*q^1712+868*p^90*q^1714+312*p^137*q^1666+3932*p^ 135*q^1668+34052*p^133*q^1670+7508360*p^131*q^1672+57293720*p^129*q^1674+ 1081755520*p^127*q^1676+11868707749*p^125*q^1678+132728882640*p^123*q^1680+ 1300777397588*p^121*q^1682+11141605030654*p^119*q^1684+78548960065178*p^117*q^ 1686+344650298154536*p^115*q^1688+628882912459212*p^113*q^1690+381413702853936* p^111*q^1692+97912484105233*p^109*q^1694+15770536313128*p^107*q^1696+ 2057364534570*p^105*q^1698+232242024426*p^103*q^1700+22749900860*p^101*q^1702+ 1881418012*p^99*q^1704+135252044*p^97*q^1706+6867666*p^95*q^1708+753364*p^93*q^ 1710+4804*p^91*q^1712+152*p^89*q^1714+6088*p^136*q^1666+1316*p^134*q^1668+ 680392*p^132*q^1670+27195676*p^130*q^1672+229146240*p^128*q^1674+3405201211*p^ 126*q^1676+38544341474*p^124*q^1678+400102428216*p^122*q^1680+3689100527696*p^ 120*q^1682+29310699518261*p^118*q^1684+173386870038114*p^116*q^1686+ 525288007764672*p^114*q^1688+568313670889538*p^112*q^1690+217135907578639*p^110 *q^1692+42741058131688*p^108*q^1694+6103332402138*p^106*q^1696+741754926456*p^ 104*q^1698+78320120677*p^102*q^1700+7152886058*p^100*q^1702+552529324*p^98*q^ 1704+35677752*p^96*q^1706+1919432*p^94*q^1708+179828*p^92*q^1710+1310*p^90*q^ 1712+20*p^137*q^1664+23292*p^135*q^1666+44212*p^133*q^1668+6162454*p^131*q^1670 +57500716*p^129*q^1672+953104791*p^127*q^1674+10574493922*p^125*q^1676+ 119283428139*p^123*q^1678+1171876078442*p^121*q^1680+10147292413216*p^119*q^ 1682+72334140005892*p^117*q^1684+329591132487487*p^115*q^1686+629248271671914*p ^113*q^1688+403589313949037*p^111*q^1690+106289233342086*p^109*q^1692+ 17415665171966*p^107*q^1694+2278440455054*p^105*q^1696+259332068082*p^103*q^ 1698+25499681358*p^101*q^1700+2155956004*p^99*q^1702+155436976*p^97*q^1704+ 8301732*p^95*q^1706+962746*p^93*q^1708+6018*p^91*q^1710+80*p^89*q^1712+3588*p^ 136*q^1664+4084*p^134*q^1666+374446*p^132*q^1668+24501982*p^130*q^1670+ 194016824*p^128*q^1672+3083017868*p^126*q^1674+34286250964*p^124*q^1676+ 359734588324*p^122*q^1678+3332556690628*p^120*q^1680+26836349050310*p^118*q^ 1682+161697752903843*p^116*q^1684+513954317017864*p^114*q^1686+583477964779696* p^112*q^1688+233759867539444*p^110*q^1690+46772789679939*p^108*q^1692+ 6757641780434*p^106*q^1694+823053457421*p^104*q^1696+87430323760*p^102*q^1698+ 8009223094*p^100*q^1700+608936796*p^98*q^1702+39491380*p^96*q^1704+1755594*p^94 *q^1706+200084*p^92*q^1708+232*p^90*q^1710+8*p^88*q^1712+30644*p^135*q^1664+ 21904*p^133*q^1666+4146810*p^131*q^1668+61113484*p^129*q^1670+809544918*p^127*q ^1672+9472149502*p^125*q^1674+106729202730*p^123*q^1676+1057473260648*p^121*q^ 1678+9201636340996*p^119*q^1680+66811729397513*p^117*q^1682+312865714739018*p^ 115*q^1684+631792100295563*p^113*q^1686+423846518153622*p^111*q^1688+ 115805408480406*p^109*q^1690+19147199151214*p^107*q^1692+2528318110693*p^105*q^ 1694+288261051744*p^103*q^1696+28569629404*p^101*q^1698+2428588818*p^99*q^1700+ 178920485*p^97*q^1702+10306638*p^95*q^1704+854968*p^93*q^1706+28752*p^91*q^1708 +154*p^89*q^1710+1068*p^136*q^1662+33150*p^134*q^1664+273328*p^132*q^1666+ 22432460*p^130*q^1668+168620254*p^128*q^1670+2780295098*p^126*q^1672+ 30523383442*p^124*q^1674+322784358719*p^122*q^1676+3019989202698*p^120*q^1678+ 24464782702119*p^118*q^1680+151285109482156*p^116*q^1682+498892931791882*p^114* q^1684+600967844000328*p^112*q^1686+249954107474180*p^110*q^1688+51351913103024 *p^108*q^1690+7457391580040*p^106*q^1692+915026013146*p^104*q^1694+97596131530* p^102*q^1696+8981310406*p^100*q^1698+691385865*p^98*q^1700+45908276*p^96*q^1702 +1830022*p^94*q^1704+309392*p^92*q^1706+260*p^90*q^1708+4*p^88*q^1710+4*p^137*q ^1660+24624*p^135*q^1662+14316*p^133*q^1664+2770476*p^131*q^1666+61397184*p^129 *q^1668+685597198*p^127*q^1670+8532709158*p^125*q^1672+95778191467*p^123*q^1674 +951658477006*p^121*q^1676+8371290414621*p^119*q^1678+61386235545566*p^117*q^ 1680+297889324165979*p^115*q^1682+628955955970732*p^113*q^1684+446624206330901* p^111*q^1686+125441717188092*p^109*q^1688+21130167694010*p^107*q^1690+ 2796680161918*p^105*q^1692+321337281728*p^103*q^1694+31911987878*p^101*q^1696+ 2744440316*p^99*q^1698+199185834*p^97*q^1700+11248596*p^95*q^1702+625994*p^93*q ^1704+42020*p^91*q^1706+40*p^136*q^1660+81340*p^134*q^1662+203130*p^132*q^1664+ 18075108*p^130*q^1666+154910830*p^128*q^1668+2485670990*p^126*q^1670+ 27110214973*p^124*q^1672+290078805248*p^122*q^1674+2726109058470*p^120*q^1676+ 22371535007406*p^118*q^1678+140643553773183*p^116*q^1680+485616107165332*p^114* q^1682+613963697674137*p^112*q^1684+268235877767390*p^110*q^1686+56121692156119 *p^108*q^1688+8255221706908*p^106*q^1690+1015422037106*p^104*q^1692+ 109051245516*p^102*q^1694+10095916154*p^100*q^1696+783614852*p^98*q^1698+ 53589290*p^96*q^1700+2567226*p^94*q^1702+396608*p^92*q^1704+2488*p^90*q^1706+8* p^88*q^1708+14100*p^135*q^1660+34812*p^133*q^1662+1756014*p^131*q^1664+61634680 *p^129*q^1666+584608596*p^127*q^1668+7697522858*p^125*q^1670+85624800456*p^123* q^1672+858274539807*p^121*q^1674+7583228243358*p^119*q^1676+56580131773268*p^ 117*q^1678+281579568641810*p^115*q^1680+628010628875856*p^113*q^1682+ 467176506646426*p^111*q^1684+136392451869294*p^109*q^1686+23215776067582*p^107* q^1688+3102863232525*p^105*q^1690+356986095078*p^103*q^1692+35747806605*p^101*q ^1694+3073494604*p^99*q^1696+221099168*p^97*q^1698+12951044*p^95*q^1700+427542* p^93*q^1702+59336*p^91*q^1704+172*p^136*q^1658+100794*p^134*q^1660+110774*p^132 *q^1662+13919826*p^130*q^1664+146996618*p^128*q^1666+2173973062*p^126*q^1668+ 24185874948*p^124*q^1670+260026947798*p^122*q^1672+2467309814788*p^120*q^1674+ 20362614177759*p^118*q^1676+131197787906732*p^116*q^1678+469034863331052*p^114* q^1680+629146835738162*p^112*q^1682+285949251843016*p^110*q^1684+61533053018846 *p^108*q^1686+9102896566216*p^106*q^1688+1128342509814*p^104*q^1690+ 121594960488*p^102*q^1692+11301652214*p^100*q^1694+891761622*p^98*q^1696+ 63176726*p^96*q^1698+2962724*p^94*q^1700+311456*p^92*q^1702+7372*p^90*q^1704+ 2540*p^135*q^1658+123824*p^133*q^1660+1339076*p^131*q^1662+57069490*p^129*q^ 1664+500344804*p^127*q^1666+6969467436*p^125*q^1668+76595732416*p^123*q^1670+ 772142852454*p^121*q^1672+6892848922632*p^119*q^1674+51881629729356*p^117*q^ 1676+267067130656258*p^115*q^1678+621800190176576*p^113*q^1680+490089133842367* p^111*q^1682+147447283109474*p^109*q^1684+25595823179619*p^107*q^1686+ 3431007466680*p^105*q^1688+397867399792*p^103*q^1690+39934311730*p^101*q^1692+ 3465219092*p^99*q^1694+247954482*p^97*q^1696+14451370*p^95*q^1698+508832*p^93*q ^1700+130988*p^91*q^1702+80*p^89*q^1704+12*p^136*q^1656+90312*p^134*q^1658+ 100728*p^132*q^1660+9884534*p^130*q^1662+147388012*p^128*q^1664+1906356948*p^ 126*q^1666+21584166553*p^124*q^1668+233871882072*p^122*q^1670+2225577397394*p^ 120*q^1672+18594387567672*p^118*q^1674+121589965549715*p^116*q^1676+ 454376112755074*p^114*q^1678+639352314087541*p^112*q^1680+305868849046614*p^110 *q^1682+67169063677393*p^108*q^1684+10073304091186*p^106*q^1686+1251920027389*p ^104*q^1688+135841705986*p^102*q^1690+12712294147*p^100*q^1692+1017138924*p^98* q^1694+71118560*p^96*q^1696+3619538*p^94*q^1698+202352*p^92*q^1700+5608*p^90*q^ 1702+2508*p^135*q^1656+240644*p^133*q^1658+823298*p^131*q^1660+50178720*p^129*q ^1662+433236816*p^127*q^1664+6252243701*p^125*q^1666+68295417556*p^123*q^1668+ 694994237703*p^121*q^1670+6237766574552*p^119*q^1672+47713411446550*p^117*q^ 1674+251431509976048*p^115*q^1676+617688292908819*p^113*q^1678+510331093008016* p^111*q^1680+159952545022060*p^109*q^1682+28102452582638*p^107*q^1684+ 3804205580770*p^105*q^1686+441632973176*p^103*q^1688+44679707950*p^101*q^1690+ 3872371296*p^99*q^1692+274558110*p^97*q^1694+17679502*p^95*q^1696+635130*p^93*q ^1698+133152*p^91*q^1700+880*p^89*q^1702+37484*p^134*q^1656+141898*p^132*q^1658 +7221386*p^130*q^1660+144362402*p^128*q^1662+1648791049*p^126*q^1664+ 19366956130*p^124*q^1666+209545096996*p^122*q^1668+2013552739034*p^120*q^1670+ 16907830848485*p^118*q^1672+113097543526516*p^116*q^1674+436710022459911*p^114* q^1676+651881438604702*p^112*q^1678+324901570977028*p^110*q^1680+73537318908832 *p^108*q^1682+11101874766375*p^106*q^1684+1390302087000*p^104*q^1686+ 151387845422*p^102*q^1688+14231295578*p^100*q^1690+1148146172*p^98*q^1692+ 80682344*p^96*q^1694+3793912*p^94*q^1696+99706*p^92*q^1698+26878*p^90*q^1700+ 660*p^135*q^1654+328540*p^133*q^1656+653980*p^131*q^1658+41596288*p^129*q^1660+ 394002184*p^127*q^1662+5607840950*p^125*q^1664+61063936507*p^123*q^1666+ 625051628618*p^121*q^1668+5663096148329*p^119*q^1670+43674419459456*p^117*q^ 1672+237518093416648*p^115*q^1674+608250549964074*p^113*q^1676+533083773273412* p^111*q^1678+172497896134400*p^109*q^1680+30960880630904*p^107*q^1682+ 4206869388044*p^105*q^1684+492437054143*p^103*q^1686+49991122128*p^101*q^1688+ 4380389406*p^99*q^1690+318912764*p^97*q^1692+21280444*p^95*q^1694+900978*p^93*q ^1696+123906*p^91*q^1698+168*p^89*q^1700+22052*p^134*q^1654+358436*p^132*q^1656 +5071974*p^130*q^1658+138199178*p^128*q^1660+1421198104*p^126*q^1662+ 17367832216*p^124*q^1664+188137903336*p^122*q^1666+1814149866445*p^120*q^1668+ 15417701580922*p^118*q^1670+104546277459223*p^116*q^1672+421016341736246*p^114* q^1674+658920310637165*p^112*q^1676+346399931460762*p^110*q^1678+80139587896772 *p^108*q^1680+12276574698046*p^106*q^1682+1540774939089*p^104*q^1684+ 168784511210*p^102*q^1686+15922784747*p^100*q^1688+1289194660*p^98*q^1690+ 86028872*p^96*q^1692+4282138*p^94*q^1694+104210*p^92*q^1696+38380*p^90*q^1698+ 48*p^88*q^1700+44*p^135*q^1652+241828*p^133*q^1654+420176*p^131*q^1656+32140698 *p^129*q^1658+366540580*p^127*q^1660+4975594734*p^125*q^1662+54403282712*p^123* q^1664+562422375517*p^121*q^1666+5120873548168*p^119*q^1668+40089195575944*p^ 117*q^1670+222828703337144*p^115*q^1672+600971707051841*p^113*q^1674+ 552450210514000*p^111*q^1676+186710167533100*p^109*q^1678+33956435325758*p^107* q^1680+4662677193547*p^105*q^1682+546938963084*p^103*q^1684+55972625035*p^101*q ^1686+4922197564*p^99*q^1688+360845694*p^97*q^1690+25338520*p^95*q^1692+1039836 *p^93*q^1694+49262*p^91*q^1696+2992*p^89*q^1698+4*p^136*q^1650+11262*p^134*q^ 1652+706464*p^132*q^1654+3789070*p^130*q^1656+129711950*p^128*q^1658+1232913939 *p^126*q^1660+15658814770*p^124*q^1662+168521895187*p^122*q^1664+1640164464964* p^120*q^1666+14002302976340*p^118*q^1668+96966052773878*p^116*q^1670+ 402837864851446*p^114*q^1672+668221335743960*p^112*q^1674+366594918593910*p^110 *q^1676+87628801311118*p^108*q^1678+13522276297665*p^106*q^1680+1711346961662*p ^104*q^1682+187922664330*p^102*q^1684+17853597868*p^100*q^1686+1453391992*p^98* q^1688+98474446*p^96*q^1690+5477868*p^94*q^1692+164516*p^92*q^1694+52604*p^90*q ^1696+24*p^135*q^1650+147752*p^133*q^1652+540912*p^131*q^1654+24741402*p^129*q^ 1656+344330848*p^127*q^1658+4393630830*p^125*q^1660+48641387114*p^123*q^1662+ 505182508062*p^121*q^1664+4644616411787*p^119*q^1666+36627379967386*p^117*q^ 1668+209691262263556*p^115*q^1670+588816110250708*p^113*q^1672+574356635340687* p^111*q^1674+200818541426056*p^109*q^1676+37379285171615*p^107*q^1678+ 5153052479066*p^105*q^1680+608913551326*p^103*q^1682+62569542124*p^101*q^1684+ 5527165424*p^99*q^1686+411856000*p^97*q^1688+27692622*p^95*q^1690+972648*p^93*q ^1692+15102*p^91*q^1694+7276*p^89*q^1696+2292*p^134*q^1650+839992*p^132*q^1652+ 2649972*p^130*q^1654+112057126*p^128*q^1656+1088474756*p^126*q^1658+14040469371 *p^124*q^1660+151112902892*p^122*q^1662+1476777422439*p^120*q^1664+ 12755288269676*p^118*q^1666+89405770171526*p^116*q^1668+386552498543418*p^114*q ^1670+671968964925246*p^112*q^1672+389353295864704*p^110*q^1674+95320819565845* p^108*q^1676+14946973846230*p^106*q^1678+1895347918234*p^104*q^1680+ 209739343972*p^102*q^1682+19985564980*p^100*q^1684+1648689010*p^98*q^1686+ 109230016*p^96*q^1688+6946354*p^94*q^1690+266820*p^92*q^1692+36876*p^90*q^1694+ 124*p^88*q^1696+152*p^135*q^1648+98554*p^133*q^1650+1032892*p^131*q^1652+ 18675510*p^129*q^1654+334074876*p^127*q^1656+3850353433*p^125*q^1658+ 43502593356*p^123*q^1660+454555992051*p^121*q^1662+4196432694222*p^119*q^1664+ 33567938078575*p^117*q^1666+196014022381390*p^115*q^1668+578598352728970*p^113* q^1670+592475723750844*p^111*q^1672+216784589782626*p^109*q^1674+40957834233046 *p^107*q^1676+5710600788275*p^105*q^1678+676287410904*p^103*q^1680+69951950884* p^101*q^1682+6209371008*p^99*q^1684+463153372*p^97*q^1686+31610280*p^95*q^1688+ 1232192*p^93*q^1690+18340*p^91*q^1692+12752*p^89*q^1694+1272*p^134*q^1648+ 680596*p^132*q^1650+1957068*p^130*q^1652+94612142*p^128*q^1654+960121304*p^126* q^1656+12593586660*p^124*q^1658+134979716485*p^122*q^1660+1333028251462*p^120*q ^1662+11568462429672*p^118*q^1664+82718979520082*p^116*q^1666+368164716183933*p ^114*q^1668+677817431624742*p^112*q^1670+410559569178816*p^110*q^1672+ 104047546262298*p^108*q^1674+16450312996582*p^106*q^1676+2104651173574*p^104*q^ 1678+233264736825*p^102*q^1680+22421808888*p^100*q^1682+1849574682*p^98*q^1684+ 124065002*p^96*q^1686+8125428*p^94*q^1688+223704*p^92*q^1690+5306*p^90*q^1692+ 904*p^88*q^1694+12*p^135*q^1646+36196*p^133*q^1648+1732988*p^131*q^1650+ 14294344*p^129*q^1652+312583212*p^127*q^1654+3386700420*p^125*q^1656+ 39045278816*p^123*q^1658+408352713422*p^121*q^1660+3804041242267*p^119*q^1662+ 30623163912316*p^117*q^1664+183865435445357*p^115*q^1666+563960135363234*p^113* q^1668+612890480562666*p^111*q^1670+232541908180538*p^109*q^1672+45029407448734 *p^107*q^1674+6307219375802*p^105*q^1676+752329472596*p^103*q^1678+78130159888* p^101*q^1680+6957491562*p^99*q^1682+530799138*p^97*q^1684+35118029*p^95*q^1686+ 1586598*p^93*q^1688+53166*p^91*q^1690+18920*p^89*q^1692+1668*p^134*q^1646+ 541500*p^132*q^1648+2062998*p^130*q^1650+76414406*p^128*q^1652+880888192*p^126* q^1654+11230338099*p^124*q^1656+120955454924*p^122*q^1658+1199523370437*p^120*q ^1660+10525758466130*p^118*q^1662+76079167653721*p^116*q^1664+351743561084382*p ^114*q^1666+677835781933983*p^112*q^1668+434336630650060*p^110*q^1670+ 113003555765549*p^108*q^1672+18175486631090*p^106*q^1674+2331326942303*p^104*q^ 1676+260627260604*p^102*q^1678+25157458132*p^100*q^1680+2103146902*p^98*q^1682+ 140565664*p^96*q^1684+9600452*p^94*q^1686+261470*p^92*q^1688+1008*p^90*q^1690+ 1496*p^88*q^1692+2*p^139*q^1640+20800*p^133*q^1646+1979652*p^131*q^1648+ 10182776*p^129*q^1650+286765220*p^127*q^1652+2954758698*p^125*q^1654+ 34946995026*p^123*q^1656+366821209101*p^121*q^1658+3433263473364*p^119*q^1660+ 28014675986992*p^117*q^1662+171277382362782*p^115*q^1664+551454299984844*p^113* q^1666+629083712517736*p^111*q^1668+250300096896349*p^109*q^1670+49288857625790 *p^107*q^1672+6984207590914*p^105*q^1674+834420633096*p^103*q^1676+87091632855* p^101*q^1678+7777977716*p^99*q^1680+593478880*p^97*q^1682+37354850*p^95*q^1684+ 2007897*p^93*q^1686+49638*p^91*q^1688+4516*p^89*q^1690+56*p^87*q^1692+624*p^134 *q^1644+299748*p^132*q^1646+2745638*p^130*q^1648+61760930*p^128*q^1650+ 811589104*p^126*q^1652+9999786362*p^124*q^1654+108108039460*p^122*q^1656+ 1082385089980*p^120*q^1658+9539625177326*p^118*q^1660+70227250485618*p^116*q^ 1662+333564730310503*p^114*q^1664+680170720070872*p^112*q^1666+456030636863178* p^110*q^1668+123109613514144*p^108*q^1670+19991404307454*p^106*q^1672+ 2587924910736*p^104*q^1674+289896313547*p^102*q^1676+28277074746*p^100*q^1678+ 2361308083*p^98*q^1680+161492136*p^96*q^1682+11760276*p^94*q^1684+317476*p^92*q ^1686+6924*p^90*q^1688+5760*p^88*q^1690+12728*p^133*q^1644+1970258*p^131*q^1646 +8596124*p^129*q^1648+252952538*p^127*q^1650+2612792298*p^125*q^1652+ 31420859594*p^123*q^1654+329232094764*p^121*q^1656+3108989648386*p^119*q^1658+ 25522032932366*p^117*q^1660+160110847878217*p^115*q^1662+534670185912860*p^113* q^1664+647672789156220*p^111*q^1666+267679592692124*p^109*q^1668+54133510486956 *p^107*q^1670+7713069873612*p^105*q^1672+928400437797*p^103*q^1674+97342543134* p^101*q^1676+8733005278*p^99*q^1678+682466356*p^97*q^1680+42078454*p^95*q^1682+ 2398526*p^93*q^1684+51360*p^91*q^1686+20*p^89*q^1688+56*p^87*q^1690+36*p^138*q^ 1638+48*p^134*q^1642+184232*p^132*q^1644+3878876*p^130*q^1646+47148692*p^128*q^ 1648+759718084*p^126*q^1650+8847359136*p^124*q^1652+96856277672*p^122*q^1654+ 973191917227*p^120*q^1656+8668951221240*p^118*q^1658+64458575356015*p^116*q^ 1660+317311129468008*p^114*q^1662+676523116639338*p^112*q^1664+480541235736126* p^110*q^1666+133412517682045*p^108*q^1668+22067293474176*p^106*q^1670+ 2864427215481*p^104*q^1672+323221692174*p^102*q^1674+31576402834*p^100*q^1676+ 2655653366*p^98*q^1678+181925780*p^96*q^1680+12342962*p^94*q^1682+410020*p^92*q ^1684+9720*p^90*q^1686+2888*p^88*q^1688+9120*p^133*q^1642+1490714*p^131*q^1644+ 6993842*p^129*q^1646+217385672*p^127*q^1648+2306947998*p^125*q^1650+28101477282 *p^123*q^1652+295494116839*p^121*q^1654+2803693933146*p^119*q^1656+ 23314349400623*p^117*q^1658+148718289729026*p^115*q^1660+520130275576456*p^113* q^1662+661272251828396*p^111*q^1664+287298661596699*p^109*q^1666+59173252731202 *p^107*q^1668+8538306020880*p^105*q^1670+1029925143212*p^103*q^1672+ 108681291446*p^101*q^1674+9832918796*p^99*q^1676+770626262*p^97*q^1678+46317346 *p^95*q^1680+3384328*p^93*q^1682+62870*p^91*q^1684+460*p^89*q^1686+944*p^87*q^ 1688+24*p^134*q^1640+103916*p^132*q^1642+4802734*p^130*q^1644+38520592*p^128*q^ 1646+704503688*p^126*q^1648+7846722768*p^124*q^1650+86724935826*p^122*q^1652+ 877608707658*p^120*q^1654+7849887605026*p^118*q^1656+59359955346818*p^116*q^ 1658+299722005116481*p^114*q^1660+675124475460350*p^112*q^1662+502375217372070* p^110*q^1664+145083383608406*p^108*q^1666+24253573032913*p^106*q^1668+ 3178753892734*p^104*q^1670+359296314620*p^102*q^1672+35424756484*p^100*q^1674+ 2963044028*p^98*q^1676+209418496*p^96*q^1678+13815062*p^94*q^1680+486512*p^92*q ^1682+7916*p^90*q^1684+274*p^137*q^1636+4*p^135*q^1638+2492*p^133*q^1640+ 1052692*p^131*q^1642+7621614*p^129*q^1644+180214892*p^127*q^1646+2075173788*p^ 125*q^1648+25171528750*p^123*q^1650+264740310684*p^121*q^1652+2536547950984*p^ 119*q^1654+21206910104346*p^117*q^1656+138577387374807*p^115*q^1658+ 501931338248872*p^113*q^1660+677298823151488*p^111*q^1662+306215776148116*p^109 *q^1664+64916572221406*p^107*q^1666+9422024336222*p^105*q^1668+1145361820441*p^ 103*q^1670+121350476688*p^101*q^1672+11050605372*p^99*q^1674+878626046*p^97*q^ 1676+52736586*p^95*q^1678+3955608*p^93*q^1680+69824*p^91*q^1682+1548*p^89*q^ 1684+1148*p^87*q^1686+71134*p^132*q^1640+4778292*p^130*q^1642+30007534*p^128*q^ 1644+640584750*p^126*q^1646+6923402188*p^124*q^1648+77794725018*p^122*q^1650+ 788836782333*p^120*q^1652+7127481478722*p^118*q^1654+54377855096099*p^116*q^ 1656+283925503929792*p^114*q^1658+668032353081968*p^112*q^1660+527008325006668* p^110*q^1662+156863207447289*p^108*q^1664+26756320461196*p^106*q^1666+ 3516780336334*p^104*q^1668+400363273114*p^102*q^1670+39563311455*p^100*q^1672+ 3325534562*p^98*q^1674+239531906*p^96*q^1676+14038290*p^94*q^1678+724532*p^92*q ^1680+12064*p^90*q^1682+8*p^88*q^1684+64*p^86*q^1686+66*p^137*q^1634+1128*p^133 *q^1638+714166*p^131*q^1640+9297020*p^129*q^1642+149179836*p^127*q^1644+ 1894964652*p^125*q^1646+22447557106*p^123*q^1648+237619889292*p^121*q^1650+ 2285592779576*p^119*q^1652+19349004341004*p^117*q^1654+128327408339572*p^115*q^ 1656+485794281965950*p^113*q^1658+688058604676976*p^111*q^1660+327559458586518* p^109*q^1662+70863726361776*p^107*q^1664+10427397659573*p^105*q^1666+ 1270381843528*p^103*q^1668+135575812801*p^101*q^1670+12445211600*p^99*q^1672+ 993401078*p^97*q^1674+59895476*p^95*q^1676+4800232*p^93*q^1678+87690*p^91*q^ 1680+728*p^89*q^1682+1148*p^136*q^1634+140*p^134*q^1636+39440*p^132*q^1638+ 4054368*p^130*q^1640+24622088*p^128*q^1642+569601418*p^126*q^1644+6100356660*p^ 124*q^1646+69653839741*p^122*q^1648+710188465624*p^120*q^1650+6446006888995*p^ 118*q^1652+49979712338618*p^116*q^1654+267116290129915*p^114*q^1656+ 663016370260310*p^112*q^1658+548621903120676*p^110*q^1660+170193192489192*p^108 *q^1662+29377940927468*p^106*q^1664+3901594719522*p^104*q^1666+444692644076*p^ 102*q^1668+44246745372*p^100*q^1670+3716852926*p^98*q^1672+272036746*p^96*q^ 1674+15016158*p^94*q^1676+1001888*p^92*q^1678+10872*p^90*q^1680+164*p^88*q^1682 +274*p^86*q^1684+104*p^133*q^1636+434770*p^131*q^1638+10869182*p^129*q^1640+ 123360934*p^127*q^1642+1731106134*p^125*q^1644+20079680349*p^123*q^1646+ 212893260480*p^121*q^1648+2066882678849*p^119*q^1650+17580223301930*p^117*q^ 1652+119259128094982*p^115*q^1654+466526626149354*p^113*q^1656+700977020635591* p^111*q^1658+347967438088200*p^109*q^1660+77620304755647*p^107*q^1662+ 11499342893888*p^105*q^1664+1412233398164*p^103*q^1666+151194104060*p^101*q^ 1668+14013732990*p^99*q^1670+1114338342*p^97*q^1672+70489296*p^95*q^1674+ 5049594*p^93*q^1676+111700*p^91*q^1678+1924*p^89*q^1680+978*p^136*q^1632+12*p^ 134*q^1634+18716*p^132*q^1636+3362806*p^130*q^1638+23155972*p^128*q^1640+ 494265740*p^126*q^1642+5436036522*p^124*q^1644+62457966246*p^122*q^1646+ 637956948833*p^120*q^1648+5846893940116*p^118*q^1650+45692640728963*p^116*q^ 1652+252095786089472*p^114*q^1654+652463248201571*p^112*q^1656+572853111413028* p^110*q^1658+183621300950976*p^108*q^1660+32383806291710*p^106*q^1662+ 4315699696587*p^104*q^1664+495750419854*p^102*q^1666+49546469477*p^100*q^1668+ 4196842300*p^98*q^1670+318053107*p^96*q^1672+16281858*p^94*q^1674+1404456*p^92* q^1676+13968*p^90*q^1678+24*p^88*q^1680+2886*p^135*q^1632+1468*p^133*q^1634+ 319166*p^131*q^1636+10941298*p^129*q^1638+98360878*p^127*q^1640+1585827874*p^ 125*q^1642+17785163822*p^123*q^1644+191026726233*p^121*q^1646+1860707643934*p^ 119*q^1648+16016977069053*p^117*q^1650+110124432293848*p^115*q^1652+ 449460331993518*p^113*q^1654+708305133788990*p^111*q^1656+370914098395969*p^109 *q^1658+84608562336794*p^107*q^1660+12717196384723*p^105*q^1662+1564967643652*p ^103*q^1664+168566117692*p^101*q^1666+15654058588*p^99*q^1668+1237080602*p^97*q ^1670+78265226*p^95*q^1672+4938356*p^93*q^1674+180732*p^91*q^1676+1568*p^89*q^ 1678+8*p^87*q^1680+36*p^85*q^1682+56*p^136*q^1630+5592*p^132*q^1634+2263150*p^ 130*q^1636+23696906*p^128*q^1638+427379678*p^126*q^1640+4839123248*p^124*q^1642 +55928563668*p^122*q^1644+573889183948*p^120*q^1646+5284528918436*p^118*q^1648+ 41918938930496*p^116*q^1650+236275063548765*p^114*q^1652+644257985981706*p^112* q^1654+593470595005011*p^110*q^1656+198705347850980*p^108*q^1658+35532449609666 *p^106*q^1660+4785367280516*p^104*q^1662+550681856506*p^102*q^1664+55481173406* p^100*q^1666+4750767687*p^98*q^1668+362363050*p^96*q^1670+19090324*p^94*q^1672+ 1786664*p^92*q^1674+14504*p^90*q^1676+216*p^88*q^1678+6006*p^135*q^1630+600*p^ 133*q^1632+184948*p^131*q^1634+10810226*p^129*q^1636+83399796*p^127*q^1638+ 1434549594*p^125*q^1640+15878826784*p^123*q^1642+171206275234*p^121*q^1644+ 1681372210953*p^119*q^1646+14537440948810*p^117*q^1648+102058433106121*p^115*q^ 1650+429562008816730*p^113*q^1652+717915522469836*p^111*q^1654+392536876508236* p^109*q^1656+92545081066060*p^107*q^1658+14017991231580*p^105*q^1660+ 1739878267121*p^103*q^1662+187930071394*p^101*q^1664+17610145998*p^99*q^1666+ 1380524922*p^97*q^1668+93975018*p^95*q^1670+4938070*p^93*q^1672+290052*p^91*q^ 1674+1804*p^89*q^1676+56*p^136*q^1628+4448*p^134*q^1630+8434*p^132*q^1632+ 1736360*p^130*q^1634+24698232*p^128*q^1636+358183986*p^126*q^1638+4360971412*p^ 124*q^1640+50031663850*p^122*q^1642+515029895741*p^120*q^1644+4787578357796*p^ 118*q^1646+38262513624225*p^116*q^1648+222141705176354*p^114*q^1650+ 630618053702272*p^112*q^1652+616923949267224*p^110*q^1654+213797382926845*p^108 *q^1656+39122493316172*p^106*q^1658+5291097639806*p^104*q^1660+613173970024*p^ 102*q^1662+61993066379*p^100*q^1664+5348707740*p^98*q^1666+410491262*p^96*q^ 1668+21045014*p^94*q^1670+1821588*p^92*q^1672+21476*p^90*q^1674+160*p^88*q^1676 +2*p^84*q^1680+1540*p^135*q^1628+64*p^133*q^1630+89640*p^131*q^1632+8854514*p^ 129*q^1634+71020962*p^127*q^1636+1284568390*p^125*q^1638+14047915014*p^123*q^ 1640+153637705782*p^121*q^1642+1512490841936*p^119*q^1644+13229640264736*p^117* q^1646+94021793088272*p^115*q^1648+411921477850559*p^113*q^1650+721441509946052 *p^111*q^1652+416928178342281*p^109*q^1654+100690233568728*p^107*q^1656+ 15495720118521*p^105*q^1658+1927550584328*p^103*q^1660+209552359587*p^101*q^ 1662+19701451786*p^99*q^1664+1553541884*p^97*q^1666+108687474*p^95*q^1668+ 4918136*p^93*q^1670+494876*p^91*q^1672+1936*p^89*q^1674+12*p^87*q^1676+19836*p^ 134*q^1628+8440*p^132*q^1630+1219730*p^130*q^1632+26117382*p^128*q^1634+ 304540305*p^126*q^1636+3949927146*p^124*q^1638+44769202594*p^122*q^1640+ 463269071596*p^120*q^1642+4324290181842*p^118*q^1644+35039047309032*p^116*q^ 1646+207504212339607*p^114*q^1648+619328632200448*p^112*q^1650+635978450487022* p^110*q^1652+230815969944398*p^108*q^1654+42880562968950*p^106*q^1656+ 5864729030198*p^104*q^1658+681103891300*p^102*q^1660+69395473446*p^100*q^1662+ 6046717634*p^98*q^1664+455928662*p^96*q^1666+25389855*p^94*q^1668+1958102*p^92* q^1670+37880*p^90*q^1672+188*p^88*q^1674+900*p^135*q^1626+4212*p^133*q^1628+ 50332*p^131*q^1630+7186754*p^129*q^1632+65699938*p^127*q^1634+1129305970*p^125* q^1636+12497832238*p^123*q^1638+137539922422*p^121*q^1640+1365004888778*p^119*q ^1642+11991278009148*p^117*q^1644+86900550078285*p^115*q^1646+391999083444512*p ^113*q^1648+727283287512569*p^111*q^1650+439485529009134*p^109*q^1652+ 109964912766033*p^107*q^1654+17066917952354*p^105*q^1656+2141991523070*p^103*q^ 1658+233381850312*p^101*q^1660+22121068916*p^99*q^1662+1742514128*p^97*q^1664+ 127836820*p^95*q^1666+5285410*p^93*q^1668+560886*p^91*q^1670+1456*p^89*q^1672+8 *p^87*q^1674+13434*p^134*q^1626+2228*p^132*q^1628+761560*p^130*q^1630+25386519* p^128*q^1632+254203526*p^126*q^1634+3581159269*p^124*q^1636+40030545592*p^122*q ^1638+415662160966*p^120*q^1640+3915479611410*p^118*q^1642+31935136470811*p^116 *q^1644+194407565444074*p^114*q^1646+603199141481551*p^112*q^1648+ 657803287179724*p^110*q^1650+247605530663647*p^108*q^1652+47171673912926*p^106* q^1654+6480200291016*p^104*q^1656+758034935572*p^102*q^1658+77486156548*p^100*q ^1660+6801011336*p^98*q^1662+510434493*p^96*q^1664+29949652*p^94*q^1666+1598618 *p^92*q^1668+97516*p^90*q^1670+196*p^88*q^1672+132*p^135*q^1624+38318*p^133*q^ 1626+62428*p^131*q^1628+5739526*p^129*q^1630+62856142*p^127*q^1632+989361130*p^ 125*q^1634+11127316766*p^123*q^1636+123409729031*p^121*q^1638+1227163129640*p^ 119*q^1640+10901418557465*p^117*q^1642+79863201057850*p^115*q^1644+ 374152497967810*p^113*q^1646+727041284701078*p^111*q^1648+464915313650291*p^109 *q^1650+119426001906598*p^107*q^1652+18860140718454*p^105*q^1654+2372673159316* p^103*q^1656+260454605888*p^101*q^1658+24792346098*p^99*q^1660+1984534287*p^97* q^1662+146387258*p^95*q^1664+6123492*p^93*q^1666+751964*p^91*q^1668+2760*p^89*q ^1670+12*p^87*q^1672+7220*p^134*q^1624+4160*p^132*q^1626+409596*p^130*q^1628+ 22847856*p^128*q^1630+217912942*p^126*q^1632+3220977542*p^124*q^1634+ 35660326028*p^122*q^1636+373524181684*p^120*q^1638+3532262903635*p^118*q^1640+ 29199677404858*p^116*q^1642+180978791050869*p^114*q^1644+589295014894782*p^112* q^1646+674890410642083*p^110*q^1648+266536590855692*p^108*q^1650+51637977079862 *p^106*q^1652+7179235348102*p^104*q^1654+841366260975*p^102*q^1656+86477437262* p^100*q^1658+7630655869*p^98*q^1660+559756490*p^96*q^1662+35224768*p^94*q^1664+ 1372660*p^92*q^1666+124280*p^90*q^1668+40*p^88*q^1670+56584*p^133*q^1624+30692* p^131*q^1626+4220798*p^129*q^1628+62228209*p^127*q^1630+853195772*p^125*q^1632+ 9996724754*p^123*q^1634+110542299476*p^121*q^1636+1106893449397*p^119*q^1638+ 9872404169108*p^117*q^1640+73661175180412*p^115*q^1642+354525240863962*p^113*q^ 1644+728879446450823*p^111*q^1646+488126852145768*p^109*q^1648+130156833942581* p^107*q^1650+20754719959406*p^105*q^1652+2636253246542*p^103*q^1654+ 289833760652*p^101*q^1656+27878753169*p^99*q^1658+2250163812*p^97*q^1660+ 168015434*p^95*q^1662+7719130*p^93*q^1664+729870*p^91*q^1666+12440*p^89*q^1668+ 8*p^87*q^1670+3092*p^134*q^1622+44992*p^132*q^1624+352216*p^130*q^1626+20412848 *p^128*q^1628+191421208*p^126*q^1630+2894560104*p^124*q^1632+31806153862*p^122* q^1634+335018514156*p^120*q^1636+3195635280178*p^118*q^1638+26571682304911*p^ 116*q^1640+169018092988942*p^114*q^1642+570964995174183*p^112*q^1644+ 694475016263878*p^110*q^1646+285118170322380*p^108*q^1648+56745235875956*p^106* q^1650+7931576567251*p^104*q^1652+936562040228*p^102*q^1654+96694513455*p^100*q ^1656+8589475454*p^98*q^1658+629524476*p^96*q^1660+42470944*p^94*q^1662+1333484 *p^92*q^1664+199644*p^90*q^1666+80*p^88*q^1668+52*p^135*q^1620+38580*p^133*q^ 1622+23510*p^131*q^1624+2789674*p^129*q^1626+59319172*p^127*q^1628+731676240*p^ 125*q^1630+8952959752*p^123*q^1632+99045898323*p^121*q^1634+994338022546*p^119* q^1636+8964044798744*p^117*q^1638+67537413871552*p^115*q^1640+337011190646433*p ^113*q^1642+724657683930866*p^111*q^1644+514192097774438*p^109*q^1646+ 141090287309448*p^107*q^1648+22913711690293*p^105*q^1650+2917056427762*p^103*q^ 1652+322998922783*p^101*q^1654+31094925012*p^99*q^1656+2539612008*p^97*q^1658+ 184732382*p^95*q^1660+8677234*p^93*q^1662+510740*p^91*q^1664+20748*p^89*q^1666+ 196*p^134*q^1620+132760*p^132*q^1622+245150*p^130*q^1624+16742420*p^128*q^1626+ 171707715*p^126*q^1628+2571616086*p^124*q^1630+28317882671*p^122*q^1632+ 301030786472*p^120*q^1634+2880885203797*p^118*q^1636+24260357136008*p^116*q^ 1638+156856564652662*p^114*q^1640+555086229571194*p^112*q^1642+708796933099046* p^110*q^1644+305929957960024*p^108*q^1646+62048174026510*p^106*q^1648+ 8783446292538*p^104*q^1650+1039695243406*p^102*q^1652+108007861028*p^100*q^1654 +9674537820*p^98*q^1656+710717060*p^96*q^1658+50619763*p^94*q^1660+1764224*p^92 *q^1662+288418*p^90*q^1664+872*p^88*q^1666+27436*p^133*q^1620+43028*p^131*q^ 1622+1938938*p^129*q^1624+57822538*p^127*q^1626+636484738*p^125*q^1628+ 8082269162*p^123*q^1630+88720197486*p^121*q^1632+896313719450*p^119*q^1634+ 8112328371572*p^117*q^1636+62154332646353*p^115*q^1638+317958739822982*p^113*q^ 1640+722708900944115*p^111*q^1642+537461158423728*p^109*q^1644+153456904207276* p^107*q^1646+25202571599312*p^105*q^1648+3240149534279*p^103*q^1650+ 359386636666*p^101*q^1652+34927728414*p^99*q^1654+2873532304*p^97*q^1656+ 203917602*p^95*q^1658+10890098*p^93*q^1660+353340*p^91*q^1662+30880*p^89*q^1664 +940*p^134*q^1618+137720*p^132*q^1620+179224*p^130*q^1622+13366232*p^128*q^1624 +156536694*p^126*q^1626+2259790458*p^124*q^1628+25278930580*p^122*q^1630+ 269621657212*p^120*q^1632+2603292047880*p^118*q^1634+22046398173029*p^116*q^ 1636+146018182324270*p^114*q^1638+535127247163209*p^112*q^1640+725772914802044* p^110*q^1642+326167879128196*p^108*q^1644+68089025844094*p^106*q^1646+ 9698210545107*p^104*q^1648+1156462007838*p^102*q^1650+120530910804*p^100*q^1652 +10863510576*p^98*q^1654+803475443*p^96*q^1656+59249140*p^94*q^1658+1978170*p^ 92*q^1660+244836*p^90*q^1662+2712*p^88*q^1664+5944*p^133*q^1618+188952*p^131*q^ 1620+1452644*p^129*q^1622+51599694*p^127*q^1624+549823284*p^125*q^1626+ 7262972364*p^123*q^1628+79351571217*p^121*q^1630+805016796298*p^119*q^1632+ 7358663362395*p^117*q^1634+56890870103572*p^115*q^1636+301012421449643*p^113*q^ 1638+714556181738756*p^111*q^1640+563795888215368*p^109*q^1642+165943387926668* p^107*q^1644+27802825333512*p^105*q^1646+3584847983346*p^103*q^1648+ 400445570273*p^101*q^1650+39005110486*p^99*q^1652+3242604636*p^97*q^1654+ 225105914*p^95*q^1656+12948326*p^93*q^1658+335924*p^91*q^1660+74704*p^89*q^1662 +24*p^87*q^1664+96*p^134*q^1616+132856*p^132*q^1618+138322*p^130*q^1620+9703906 *p^128*q^1622+149324318*p^126*q^1624+1992977780*p^124*q^1626+22581729913*p^122* q^1628+242332696592*p^120*q^1630+2345362684501*p^118*q^1632+20101059467012*p^ 116*q^1634+135128596027776*p^114*q^1636+517602290264416*p^112*q^1638+ 736785293258787*p^110*q^1640+348903192811846*p^108*q^1642+74349134352247*p^106* q^1644+10736033051126*p^104*q^1646+1283563838785*p^102*q^1648+134652629426*p^ 100*q^1650+12227707783*p^98*q^1652+918006674*p^96*q^1654+66890528*p^94*q^1656+ 2547538*p^92*q^1658+169354*p^90*q^1660+2304*p^88*q^1662+7700*p^133*q^1616+ 318316*p^131*q^1618+1066754*p^129*q^1620+46327582*p^127*q^1622+480450702*p^125* q^1624+6498150794*p^123*q^1626+70905602220*p^121*q^1628+724848269561*p^119*q^ 1630+6651615872076*p^117*q^1632+52239753963199*p^115*q^1634+282957361219354*p^ 113*q^1636+708763790704428*p^111*q^1638+586616031370426*p^109*q^1640+ 180114969974271*p^107*q^1642+30548042891418*p^105*q^1644+3979406048210*p^103*q^ 1646+445225728692*p^101*q^1648+43709074570*p^99*q^1650+3649769184*p^97*q^1652+ 247838076*p^95*q^1654+16440678*p^93*q^1656+401798*p^91*q^1658+89260*p^89*q^1660 +228*p^87*q^1662+60844*p^132*q^1616+222172*p^130*q^1618+7314801*p^128*q^1620+ 139247424*p^126*q^1622+1741330994*p^124*q^1624+20271937668*p^122*q^1626+ 217083995978*p^120*q^1628+2118343822092*p^118*q^1630+18246202484884*p^116*q^ 1632+125433296093244*p^114*q^1634+496673897806109*p^112*q^1636+750379609104924* p^110*q^1638+370619045558663*p^108*q^1640+81486062199692*p^106*q^1642+ 11844995897535*p^104*q^1644+1427379934858*p^102*q^1646+150194002040*p^100*q^ 1648+13727008380*p^98*q^1650+1043901079*p^96*q^1652+74608288*p^94*q^1654+ 2904172*p^92*q^1656+75000*p^90*q^1658+11604*p^88*q^1660+2792*p^133*q^1614+ 400620*p^131*q^1616+868460*p^129*q^1618+38486074*p^127*q^1620+427422136*p^125*q ^1622+5801481598*p^123*q^1624+63342495574*p^121*q^1626+650599872212*p^119*q^ 1628+6028256628273*p^117*q^1630+47723751353700*p^115*q^1632+266773971952538*p^ 113*q^1634+697166203868174*p^111*q^1636+612489552993425*p^109*q^1638+ 194309586669804*p^107*q^1640+33681800961469*p^105*q^1642+4402640149000*p^103*q^ 1644+496200557259*p^101*q^1646+48884919588*p^99*q^1648+4134930921*p^97*q^1650+ 280522470*p^95*q^1652+19938800*p^93*q^1654+537164*p^91*q^1656+88200*p^89*q^1658 +56*p^87*q^1660+42692*p^132*q^1614+507134*p^130*q^1616+5356132*p^128*q^1618+ 129547814*p^126*q^1620+1522974544*p^124*q^1622+18146002116*p^122*q^1624+ 194939172602*p^120*q^1626+1906469315043*p^118*q^1628+16616408982294*p^116*q^ 1630+115752923972588*p^114*q^1632+478089263510676*p^112*q^1634+757871077695191* p^110*q^1636+395025075862640*p^108*q^1638+88822973580197*p^106*q^1640+ 13105235132002*p^104*q^1642+1582192790859*p^102*q^1644+167502759082*p^100*q^ 1646+15357051526*p^98*q^1648+1176746728*p^96*q^1650+79731730*p^94*q^1652+ 3664520*p^92*q^1654+66046*p^90*q^1656+20136*p^88*q^1658+8*p^86*q^1660+324*p^133 *q^1612+313740*p^131*q^1614+616438*p^129*q^1616+30781803*p^127*q^1618+386512204 *p^125*q^1620+5157297359*p^123*q^1622+56618257120*p^121*q^1624+585442426488*p^ 119*q^1626+5445189743648*p^117*q^1628+43750159020209*p^115*q^1630+ 249840965174440*p^113*q^1632+687715487517212*p^111*q^1634+634398381153766*p^109 *q^1636+210351680391394*p^107*q^1638+36973444418294*p^105*q^1640+4886565731006* p^103*q^1642+551927472384*p^101*q^1644+54828256414*p^99*q^1646+4676603816*p^97* q^1648+319294347*p^95*q^1650+23891548*p^93*q^1652+641414*p^91*q^1654+40888*p^89 *q^1656+924*p^87*q^1658+48*p^134*q^1610+30728*p^132*q^1612+807800*p^130*q^1614+ 4493360*p^128*q^1616+119583296*p^126*q^1618+1334189585*p^124*q^1620+16315718612 *p^122*q^1622+174518456818*p^120*q^1624+1721277664668*p^118*q^1626+ 15063302424330*p^116*q^1628+107175670977416*p^114*q^1630+456567158641376*p^112* q^1632+767670492473590*p^110*q^1634+418133718632548*p^108*q^1636+97197793107914 *p^106*q^1638+14450762292395*p^104*q^1640+1759468798972*p^102*q^1642+ 186649159498*p^100*q^1644+17249784360*p^98*q^1646+1335989176*p^96*q^1648+ 88446018*p^94*q^1650+4910130*p^92*q^1652+91784*p^90*q^1654+30184*p^88*q^1656+ 240*p^133*q^1610+196052*p^131*q^1612+847254*p^129*q^1614+23642440*p^127*q^1616+ 349878704*p^125*q^1618+4563833956*p^123*q^1620+50581984546*p^121*q^1622+ 525096035464*p^119*q^1624+4928520508168*p^117*q^1626+39895519908290*p^115*q^ 1628+234722582624110*p^113*q^1630+672848465404640*p^111*q^1632+659187338073479* p^109*q^1634+226371419033220*p^107*q^1636+40721168467258*p^105*q^1638+ 5402507106908*p^103*q^1640+614608697486*p^101*q^1642+61252253178*p^99*q^1644+ 5249023268*p^97*q^1646+361543786*p^95*q^1648+25941424*p^93*q^1650+658584*p^91*q ^1652+9736*p^89*q^1654+2792*p^87*q^1656+7028*p^132*q^1610+956182*p^130*q^1612+ 3210938*p^128*q^1614+104092206*p^126*q^1616+1175034128*p^124*q^1618+14571629418 *p^122*q^1620+156545683000*p^120*q^1622+1548211283629*p^118*q^1624+ 13702985808882*p^116*q^1626+98650239524412*p^114*q^1628+437549003510758*p^112*q ^1630+771086194390769*p^110*q^1632+443951205788010*p^108*q^1634+105785934303558 *p^106*q^1636+15979006006606*p^104*q^1638+1950050549768*p^102*q^1640+ 208237083386*p^100*q^1642+19311281202*p^98*q^1644+1526689652*p^96*q^1646+ 96459816*p^94*q^1648+6502826*p^92*q^1650+139716*p^90*q^1652+25172*p^88*q^1654+ 24*p^86*q^1656+732*p^133*q^1608+183144*p^131*q^1610+1299414*p^129*q^1612+ 19324860*p^127*q^1614+327573600*p^125*q^1616+4043723911*p^123*q^1618+ 45388264214*p^121*q^1620+472583116306*p^119*q^1622+4449392054436*p^117*q^1624+ 36510667957792*p^115*q^1626+219023423556246*p^113*q^1628+660344046783966*p^111* q^1630+679357068571354*p^109*q^1632+244394942336623*p^107*q^1634+44663167433076 *p^105*q^1636+5993498410872*p^103*q^1638+683340504348*p^101*q^1640+68621792849* p^99*q^1642+5931490778*p^97*q^1644+411064894*p^95*q^1646+29656132*p^93*q^1648+ 979166*p^91*q^1650+11268*p^89*q^1652+5604*p^87*q^1654+4862*p^132*q^1608+718948* p^130*q^1610+2759752*p^128*q^1612+87834608*p^126*q^1614+1029974395*p^124*q^1616 +13036734780*p^122*q^1618+139805091020*p^120*q^1620+1395667861086*p^118*q^1622+ 12408819036802*p^116*q^1624+91096641183570*p^114*q^1626+415932113640099*p^112*q ^1628+777036253878664*p^110*q^1630+468031145621653*p^108*q^1632+115557134509694 *p^106*q^1634+17609364742350*p^104*q^1636+2167909619870*p^102*q^1638+ 231903556560*p^100*q^1640+21698822332*p^98*q^1642+1719135618*p^96*q^1644+ 107110066*p^94*q^1646+7568045*p^92*q^1648+107850*p^90*q^1650+4112*p^88*q^1652+ 232*p^86*q^1654+88*p^133*q^1606+74786*p^131*q^1608+1942676*p^129*q^1610+ 15138426*p^127*q^1612+298282485*p^125*q^1614+3572698410*p^123*q^1616+ 40610385672*p^121*q^1618+423848003184*p^119*q^1620+4024863621395*p^117*q^1622+ 33248958250476*p^115*q^1624+205053182455429*p^113*q^1626+642641817882522*p^111* q^1628+702567778239657*p^109*q^1630+262213469396196*p^107*q^1632+49132808008454 *p^105*q^1634+6623847497482*p^103*q^1636+760197525390*p^101*q^1638+76558158838* p^99*q^1640+6630254693*p^97*q^1642+473066766*p^95*q^1644+31889796*p^93*q^1646+ 1388726*p^91*q^1648+24996*p^89*q^1650+9888*p^87*q^1652+5240*p^132*q^1606+708774 *p^130*q^1608+2841154*p^128*q^1610+72451378*p^126*q^1612+927172540*p^124*q^1614 +11625292039*p^122*q^1616+125441752688*p^120*q^1618+1254759576933*p^118*q^1620+ 11274008106026*p^116*q^1622+83670947723675*p^114*q^1624+396774324824926*p^112*q ^1626+776160427081060*p^110*q^1628+495074360452308*p^108*q^1630+125524585782072 *p^106*q^1632+19464230508452*p^104*q^1634+2402787275724*p^102*q^1636+ 259070678306*p^100*q^1638+24365426133*p^98*q^1640+1970897080*p^96*q^1642+ 120339504*p^94*q^1644+9147308*p^92*q^1646+160668*p^90*q^1648+920*p^88*q^1650+ 472*p^86*q^1652+4*p^133*q^1604+47684*p^131*q^1606+1948922*p^129*q^1608+11959356 *p^127*q^1610+270617150*p^125*q^1612+3144497557*p^123*q^1614+36378760934*p^121* q^1616+380885692504*p^119*q^1618+3629576444668*p^117*q^1620+30375007069071*p^ 115*q^1622+190738423281572*p^113*q^1624+627391111905754*p^111*q^1626+ 720386161486706*p^109*q^1628+282331893336813*p^107*q^1630+53819991439492*p^105* q^1632+7342337306406*p^103*q^1634+844608080036*p^101*q^1636+85489279010*p^99*q^ 1638+7438833320*p^97*q^1640+533749020*p^95*q^1642+33563184*p^93*q^1644+1823264* p^91*q^1646+19246*p^89*q^1648+3092*p^87*q^1650+8*p^85*q^1652+2640*p^132*q^1604+ 459872*p^130*q^1606+3491060*p^128*q^1608+60123076*p^126*q^1610+833199125*p^124* q^1612+10368932876*p^122*q^1614+112193485408*p^120*q^1616+1131033339210*p^118*q ^1618+10200424830298*p^116*q^1620+77085694176042*p^114*q^1622+375643934078835*p ^112*q^1624+777823489220964*p^110*q^1626+519668671243776*p^108*q^1628+ 136880523801596*p^106*q^1630+21430030051706*p^104*q^1632+2670888499594*p^102*q^ 1634+288377149244*p^100*q^1636+27404859136*p^98*q^1638+2223410675*p^96*q^1640+ 138753704*p^94*q^1642+10867494*p^92*q^1644+234564*p^90*q^1646+3008*p^88*q^1648+ 2176*p^86*q^1650+31610*p^131*q^1604+1988782*p^129*q^1606+10441326*p^127*q^1608+ 236181476*p^125*q^1610+2775471578*p^123*q^1612+32578810003*p^121*q^1614+ 341258471730*p^119*q^1616+3280481090850*p^117*q^1618+27619476651852*p^115*q^ 1620+177954280280160*p^113*q^1622+607563086897822*p^111*q^1624+741155253102921* p^109*q^1626+301981420274284*p^107*q^1628+59157139659526*p^105*q^1630+ 8112874762686*p^103*q^1632+939865094848*p^101*q^1634+95460806126*p^99*q^1636+ 8354121432*p^97*q^1638+615565638*p^95*q^1640+35731778*p^93*q^1642+2259904*p^91* q^1644+21014*p^89*q^1646+40*p^87*q^1648+12*p^85*q^1650+416*p^132*q^1602+293438* p^130*q^1604+4176300*p^128*q^1606+47977414*p^126*q^1608+759206630*p^124*q^1610+ 9214490544*p^122*q^1612+100559059142*p^120*q^1614+1015949143501*p^118*q^1616+ 9258174766192*p^116*q^1618+70641287814571*p^114*q^1620+356774179960404*p^112*q^ 1622+772929994048303*p^110*q^1624+547351168674060*p^108*q^1626+148365731087138* p^106*q^1628+23670833027100*p^104*q^1630+2956997494620*p^102*q^1632+ 321547031094*p^100*q^1634+30640936806*p^98*q^1636+2499703752*p^96*q^1638+ 156572776*p^94*q^1640+11591870*p^92*q^1642+342587*p^90*q^1644+3424*p^88*q^1646+ 1504*p^86*q^1648+26252*p^131*q^1602+1770738*p^129*q^1604+9210774*p^127*q^1606+ 205141434*p^125*q^1608+2457017231*p^123*q^1610+29131039962*p^121*q^1612+ 306635507420*p^119*q^1614+2956251620092*p^117*q^1616+25201831474795*p^115*q^ 1618+165018586585896*p^113*q^1620+590081368307331*p^111*q^1622+756159778406188* p^109*q^1624+324083308831298*p^107*q^1626+64710048488222*p^105*q^1628+ 8991587803549*p^103*q^1630+1044369004178*p^101*q^1632+106739527746*p^99*q^1634+ 9423934504*p^97*q^1636+710323522*p^95*q^1638+39338638*p^93*q^1640+3137548*p^91* q^1642+34828*p^89*q^1644+208*p^87*q^1646+232*p^85*q^1648+174*p^132*q^1600+ 199054*p^130*q^1602+4485026*p^128*q^1604+41254452*p^126*q^1606+687808424*p^124* q^1608+8200473062*p^122*q^1610+90106447345*p^120*q^1612+915226935442*p^118*q^ 1614+8368974013239*p^116*q^1616+64947061144088*p^114*q^1618+336354417349716*p^ 112*q^1620+770261042327548*p^110*q^1622+572166980556474*p^108*q^1624+ 161445898650960*p^106*q^1626+26045283045552*p^104*q^1628+3286063362000*p^102*q^ 1630+357807759062*p^100*q^1632+34405491792*p^98*q^1634+2804410100*p^96*q^1636+ 180247020*p^94*q^1638+12269072*p^92*q^1640+437474*p^90*q^1642+1922*p^88*q^1644+ 44*p^133*q^1598+9124*p^131*q^1600+1273734*p^129*q^1602+9567790*p^127*q^1604+ 170711868*p^125*q^1606+2178806526*p^123*q^1608+26025183243*p^121*q^1610+ 274304148180*p^119*q^1612+2669151499499*p^117*q^1614+22879496565670*p^115*q^ 1616+153513202663419*p^113*q^1618+568546225949088*p^111*q^1620+773904413840290* p^109*q^1622+345561384542572*p^107*q^1624+71027707504159*p^105*q^1626+ 9926732126710*p^103*q^1628+1161724868438*p^101*q^1630+119020708126*p^99*q^1632+ 10583002406*p^97*q^1634+807326476*p^95*q^1636+43623638*p^93*q^1638+3666516*p^91 *q^1640+46550*p^89*q^1642+448*p^87*q^1644+424*p^85*q^1646+24*p^132*q^1598+ 152008*p^130*q^1600+4737984*p^128*q^1602+33882018*p^126*q^1604+617791520*p^124* q^1606+7267580180*p^122*q^1608+80746488360*p^120*q^1610+822011474531*p^118*q^ 1612+7588650861856*p^116*q^1614+59402869648007*p^114*q^1616+318213217585072*p^ 112*q^1618+761241125074071*p^110*q^1620+599899041645564*p^108*q^1622+ 174625222106381*p^106*q^1624+28742660322526*p^104*q^1626+3637459941944*p^102*q^ 1628+398908009160*p^100*q^1630+38432024606*p^98*q^1632+3149726820*p^96*q^1634+ 210173029*p^94*q^1636+12182784*p^92*q^1638+683688*p^90*q^1640+4792*p^88*q^1642+ 8*p^86*q^1644+8*p^84*q^1646+3954*p^131*q^1598+1018152*p^129*q^1600+9934344*p^ 127*q^1602+147064208*p^125*q^1604+1962393686*p^123*q^1606+23275844050*p^121*q^ 1608+246607227067*p^119*q^1610+2403894724612*p^117*q^1612+20849090556912*p^115* q^1614+141918690836408*p^113*q^1616+549556170979489*p^111*q^1618+ 785308616820680*p^109*q^1620+369615692671590*p^107*q^1622+77603939738144*p^105* q^1624+10997697490780*p^103*q^1626+1290544299254*p^101*q^1628+133116121405*p^99 *q^1630+11975943212*p^97*q^1632+925153419*p^95*q^1634+49671500*p^93*q^1636+ 4441492*p^91*q^1638+70916*p^89*q^1640+88*p^87*q^1642+694*p^132*q^1596+94636*p^ 130*q^1598+4057916*p^128*q^1600+29959380*p^126*q^1602+541546971*p^124*q^1604+ 6430496870*p^122*q^1606+72239376969*p^120*q^1608+739268269662*p^118*q^1610+ 6853413408471*p^116*q^1612+54498015092688*p^114*q^1614+298798352685678*p^112*q^ 1616+754667417268258*p^110*q^1618+624206281479557*p^108*q^1620+189563752551698* p^106*q^1622+31600698241594*p^104*q^1624+4039491906276*p^102*q^1626+ 443574209798*p^100*q^1628+43017222330*p^98*q^1630+3520118524*p^96*q^1632+ 240625812*p^94*q^1634+12512198*p^92*q^1636+887008*p^90*q^1638+4398*p^88*q^1640+ 28*p^86*q^1642+64*p^84*q^1644+1120*p^131*q^1596+696218*p^129*q^1598+10632802*p^ 127*q^1600+123339960*p^125*q^1602+1759417874*p^123*q^1604+20784854044*p^121*q^ 1606+220693730224*p^119*q^1608+2169745543494*p^117*q^1610+18909562276216*p^115* q^1612+131643978104802*p^113*q^1614+526897639893268*p^111*q^1616+ 799643449475282*p^109*q^1618+392647352409126*p^107*q^1620+85056193080266*p^105* q^1622+12136549023292*p^103*q^1624+1435091496011*p^101*q^1626+148350035316*p^99 *q^1628+13467813646*p^97*q^1630+1039597052*p^95*q^1632+58291155*p^93*q^1634+ 4442596*p^91*q^1636+108154*p^89*q^1638+504*p^87*q^1640+92*p^132*q^1594+45506*p^ 130*q^1596+3714238*p^128*q^1598+27552358*p^126*q^1600+473516708*p^124*q^1602+ 5719394126*p^122*q^1604+64705737232*p^120*q^1606+663700112666*p^118*q^1608+ 6207286539534*p^116*q^1610+49759458438596*p^114*q^1612+281554053490812*p^112*q^ 1614+741712098200177*p^110*q^1616+651603596450200*p^108*q^1618+204535332581371* p^106*q^1620+34847453823838*p^104*q^1622+4471126275305*p^102*q^1624+ 494715307588*p^100*q^1626+48125989597*p^98*q^1628+3981114598*p^96*q^1630+ 285688340*p^94*q^1632+13104552*p^92*q^1634+1306274*p^90*q^1636+9396*p^88*q^1638 +4932*p^131*q^1594+573440*p^129*q^1596+10230138*p^127*q^1598+105535392*p^125*q^ 1600+1584554785*p^123*q^1602+18504515862*p^121*q^1604+198309669589*p^119*q^1606 +1952117433926*p^117*q^1608+17207731521055*p^115*q^1610+121396885573666*p^113*q ^1612+506823998418152*p^111*q^1614+807042250367614*p^109*q^1616+418562234293447 *p^107*q^1618+92766719843244*p^105*q^1620+13435986796405*p^103*q^1622+ 1592676440360*p^101*q^1624+165607181178*p^99*q^1626+15111988632*p^97*q^1628+ 1161846164*p^95*q^1630+65429068*p^93*q^1632+4346092*p^91*q^1634+155746*p^89*q^ 1636+320*p^87*q^1638+4*p^83*q^1642+10*p^132*q^1592+19648*p^130*q^1594+2773526*p ^128*q^1596+26518398*p^126*q^1598+409217424*p^124*q^1600+5079827668*p^122*q^ 1602+57917616114*p^120*q^1604+596626038214*p^118*q^1606+5601855890269*p^116*q^ 1608+45566851589976*p^114*q^1610+263452815441397*p^112*q^1612+731307566288994*p ^110*q^1614+674667486623803*p^108*q^1616+221519922934122*p^106*q^1618+ 38272195032490*p^104*q^1620+4963651523034*p^102*q^1622+550412253214*p^100*q^ 1624+53905395874*p^98*q^1626+4517355313*p^96*q^1628+329906396*p^94*q^1630+ 15364438*p^92*q^1632+1548468*p^90*q^1634+13174*p^88*q^1636+28*p^86*q^1638+2602* p^131*q^1592+347616*p^129*q^1594+10145262*p^127*q^1596+92072458*p^125*q^1598+ 1409925602*p^123*q^1600+16518112053*p^121*q^1602+177448608110*p^119*q^1604+ 1761046198578*p^117*q^1606+15588873429230*p^115*q^1608+112288471513374*p^113*q^ 1610+483739917072146*p^111*q^1612+817282054166199*p^109*q^1614+442964373991092* p^107*q^1616+101544155128987*p^105*q^1618+14819261059182*p^103*q^1620+ 1771213057488*p^101*q^1622+184488474460*p^99*q^1624+16969877098*p^97*q^1626+ 1291413646*p^95*q^1628+79021246*p^93*q^1630+3939980*p^91*q^1632+264714*p^89*q^ 1634+788*p^87*q^1636+36*p^132*q^1590+23926*p^130*q^1592+2383052*p^128*q^1594+ 25227328*p^126*q^1596+350990306*p^124*q^1598+4538037409*p^122*q^1600+ 51774104296*p^120*q^1602+535186523779*p^118*q^1604+5069005137440*p^116*q^1606+ 41529551999961*p^114*q^1608+247306179640758*p^112*q^1610+715124424564877*p^110* q^1612+700876957278370*p^108*q^1614+238346859443862*p^106*q^1616+42168195110008 *p^104*q^1618+5489970213857*p^102*q^1620+613091756378*p^100*q^1622+60186739706* p^98*q^1624+5102475008*p^96*q^1626+376917700*p^94*q^1628+16703906*p^92*q^1630+ 1622774*p^90*q^1632+19850*p^88*q^1634+16*p^86*q^1636+384*p^131*q^1590+188752*p^ 129*q^1592+8951966*p^127*q^1594+81191604*p^125*q^1596+1254850038*p^123*q^1598+ 14684983626*p^121*q^1600+159380011156*p^119*q^1602+1583431744158*p^117*q^1604+ 14172057673134*p^115*q^1606+103288946250914*p^113*q^1608+463119671768152*p^111* q^1610+820529716731142*p^109*q^1612+470345971102137*p^107*q^1614+ 110547321225290*p^105*q^1616+16400275842088*p^103*q^1618+1964949831508*p^101*q^ 1620+206150432989*p^99*q^1622+19041726284*p^97*q^1624+1458814073*p^95*q^1626+ 94741930*p^93*q^1628+3999826*p^91*q^1630+422762*p^89*q^1632+1512*p^87*q^1634+8* p^132*q^1588+27006*p^130*q^1590+1838326*p^128*q^1592+24595994*p^126*q^1594+ 308532704*p^124*q^1596+4061744876*p^122*q^1598+46336370113*p^120*q^1600+ 481254367902*p^118*q^1602+4571296266076*p^116*q^1604+37972568725736*p^114*q^ 1606+230572838699633*p^112*q^1608+701240125614580*p^110*q^1610+722276908957689* p^108*q^1612+257421547633488*p^106*q^1614+46266740746517*p^104*q^1616+ 6093392642596*p^102*q^1618+681974667155*p^100*q^1620+67341418434*p^98*q^1622+ 5782640733*p^96*q^1624+422887454*p^94*q^1626+19714208*p^92*q^1628+1589180*p^90* q^1630+33298*p^88*q^1632+24*p^86*q^1634+824*p^131*q^1588+122268*p^129*q^1590+ 7726958*p^127*q^1592+73469946*p^125*q^1594+1088184720*p^123*q^1596+13062977398* p^121*q^1598+142489945010*p^119*q^1600+1426482725566*p^117*q^1602+ 12821229390124*p^115*q^1604+95311323322381*p^113*q^1606+440002899092510*p^111*q ^1608+826405942859371*p^109*q^1610+495884712749706*p^107*q^1612+120788959893559 *p^105*q^1614+18072875726270*p^103*q^1616+2184617041796*p^101*q^1618+ 229457405986*p^99*q^1620+21343614506*p^97*q^1622+1636723408*p^95*q^1624+ 111836735*p^93*q^1626+4116386*p^91*q^1628+478396*p^89*q^1630+1714*p^87*q^1632+4 *p^132*q^1586+7216*p^130*q^1588+1192620*p^128*q^1590+23753654*p^126*q^1592+ 265052280*p^124*q^1594+3642023611*p^122*q^1596+41437973420*p^120*q^1598+ 431574597075*p^118*q^1600+4133924207632*p^116*q^1602+34557442734094*p^114*q^ 1604+215740101375410*p^112*q^1606+682103577014218*p^110*q^1608+746529088934794* p^108*q^1610+276229635530295*p^106*q^1612+50913822757656*p^104*q^1614+ 6736841583453*p^102*q^1616+759331466744*p^100*q^1618+75165956371*p^98*q^1620+ 6515129374*p^96*q^1622+471764274*p^94*q^1624+24181824*p^92*q^1626+1286394*p^90* q^1628+83822*p^88*q^1630+156*p^86*q^1632+180*p^131*q^1586+159474*p^129*q^1588+ 6979858*p^127*q^1590+66889494*p^125*q^1592+967610438*p^123*q^1594+11646322996*p ^121*q^1596+127901918567*p^119*q^1598+1282248772838*p^117*q^1600+11643383367912 *p^115*q^1602+87457171432250*p^113*q^1604+419427801239015*p^111*q^1606+ 825070793439602*p^109*q^1608+524400989745806*p^107*q^1610+131275607010164*p^105 *q^1612+19991327204551*p^103*q^1614+2423049208758*p^101*q^1616+256589518745*p^ 99*q^1618+23941423312*p^97*q^1620+1877477535*p^95*q^1622+132560110*p^93*q^1624+ 4569238*p^91*q^1626+622270*p^89*q^1628+2368*p^87*q^1630+40*p^132*q^1584+9132*p^ 130*q^1586+729204*p^128*q^1588+21382384*p^126*q^1590+234903280*p^124*q^1592+ 3227354360*p^122*q^1594+36981594245*p^120*q^1596+387754486074*p^118*q^1598+ 3724577422341*p^116*q^1600+31542871511188*p^114*q^1602+200459854777431*p^112*q^ 1604+665540603502420*p^110*q^1606+765373797182283*p^108*q^1608+297443851063548* p^106*q^1610+55803680348895*p^104*q^1612+7471556978394*p^102*q^1614+ 843948083014*p^100*q^1616+83939357204*p^98*q^1618+7342225633*p^96*q^1620+ 518128836*p^94*q^1622+28639478*p^92*q^1624+1098892*p^90*q^1626+97992*p^88*q^ 1628+80*p^86*q^1630+136*p^131*q^1584+78302*p^129*q^1586+5372230*p^127*q^1588+ 62084826*p^125*q^1590+838206748*p^123*q^1592+10401720659*p^121*q^1594+ 114352292598*p^119*q^1596+1154530558915*p^117*q^1598+10525753310188*p^115*q^ 1600+80516307330823*p^113*q^1602+396749066880448*p^111*q^1604+826586811343768*p ^109*q^1606+550465033342574*p^107*q^1608+143148952236344*p^105*q^1610+ 22017436362708*p^103*q^1612+2692877725794*p^101*q^1614+285567169842*p^99*q^1616 +26834631106*p^97*q^1618+2123658670*p^95*q^1620+152374171*p^93*q^1622+5672336*p ^91*q^1624+541968*p^89*q^1626+11006*p^87*q^1628+8*p^85*q^1630+3434*p^130*q^1584 +706994*p^128*q^1586+20627084*p^126*q^1588+208114860*p^124*q^1590+2873612500*p^ 122*q^1592+33044622588*p^120*q^1594+347714693729*p^118*q^1596+3365597109536*p^ 116*q^1598+28669397040592*p^114*q^1600+186931218903306*p^112*q^1602+ 643976937646495*p^110*q^1604+787241825365572*p^108*q^1606+318164481445552*p^106 *q^1608+61346238874326*p^104*q^1610+8259579831523*p^102*q^1612+939957455752*p^ 100*q^1614+93783195631*p^98*q^1616+8268475040*p^96*q^1618+586526765*p^94*q^1620 +36104162*p^92*q^1622+996778*p^90*q^1624+169884*p^88*q^1626+80*p^86*q^1628+636* p^131*q^1582+66992*p^129*q^1584+3775762*p^127*q^1586+56486788*p^125*q^1588+ 738379480*p^123*q^1590+9280606810*p^121*q^1592+102544974340*p^119*q^1594+ 1037014515620*p^117*q^1596+9546179806854*p^115*q^1598+73733476478560*p^113*q^ 1600+376546479394455*p^111*q^1602+820729493292892*p^109*q^1604+579770336322004* p^107*q^1606+155229406160564*p^105*q^1608+24330954042186*p^103*q^1610+ 2984426969864*p^101*q^1612+318744176255*p^99*q^1614+29976247002*p^97*q^1616+ 2420878685*p^95*q^1618+167860682*p^93*q^1620+6401718*p^91*q^1622+414608*p^89*q^ 1624+15006*p^87*q^1626+2240*p^130*q^1582+527448*p^128*q^1584+18160310*p^126*q^ 1586+185303998*p^124*q^1588+2536118212*p^122*q^1590+29475554265*p^120*q^1592+ 312219861730*p^118*q^1594+3030006361747*p^116*q^1596+26132066367862*p^114*q^ 1598+173195919080855*p^112*q^1600+625102369079486*p^110*q^1602+802788583040898* p^108*q^1604+341580679604658*p^106*q^1606+67141363569631*p^104*q^1608+ 9157569373668*p^102*q^1610+1044814018871*p^100*q^1612+104876114638*p^98*q^1614+ 9319719801*p^96*q^1616+660974100*p^94*q^1618+44614539*p^92*q^1620+1252162*p^90* q^1622+202376*p^88*q^1624+800*p^86*q^1626+84*p^131*q^1580+41334*p^129*q^1582+ 2926648*p^127*q^1584+54175360*p^125*q^1586+651823810*p^123*q^1588+8294638132*p^ 121*q^1590+91721757894*p^119*q^1592+933546962112*p^117*q^1594+8623391974364*p^ 115*q^1596+67727696937250*p^113*q^1598+354780194843196*p^111*q^1600+ 817644748051866*p^109*q^1602+605886499047648*p^107*q^1604+168956157052829*p^105 *q^1606+26776460514498*p^103*q^1608+3316366056422*p^101*q^1610+354688519366*p^ 99*q^1612+33568281274*p^97*q^1614+2743072696*p^95*q^1616+185988163*p^93*q^1618+ 8256976*p^91*q^1620+251884*p^89*q^1622+27504*p^87*q^1624+4*p^132*q^1578+4822*p^ 130*q^1580+382352*p^128*q^1582+14889559*p^126*q^1584+162776206*p^124*q^1586+ 2228852382*p^122*q^1588+26312967108*p^120*q^1590+279588437368*p^118*q^1592+ 2735268505004*p^116*q^1594+23713761048397*p^114*q^1596+160984778682954*p^112*q^ 1598+601979881944511*p^110*q^1600+821405566761790*p^108*q^1602+364124543290407* p^106*q^1604+73725278008392*p^104*q^1606+10115844903939*p^102*q^1608+ 1162638067230*p^100*q^1610+117080557559*p^98*q^1612+10452512548*p^96*q^1614+ 750414286*p^94*q^1616+52213768*p^92*q^1618+1315424*p^90*q^1620+180914*p^88*q^ 1622+1964*p^86*q^1624+23120*p^129*q^1580+2520224*p^127*q^1582+50668366*p^125*q^ 1584+579033788*p^123*q^1586+7399270912*p^121*q^1588+82194109371*p^119*q^1590+ 838408087746*p^117*q^1592+7815769353656*p^115*q^1594+61906297013976*p^113*q^ 1596+335327980140763*p^111*q^1598+807612952592852*p^109*q^1600+635204399431037* p^107*q^1602+182776650158266*p^105*q^1604+29572206643606*p^103*q^1606+ 3673463845556*p^101*q^1608+395940879472*p^99*q^1610+37490057662*p^97*q^1612+ 3120215099*p^95*q^1614+206989116*p^93*q^1616+10797029*p^91*q^1618+253826*p^89*q ^1620+52926*p^87*q^1622+24*p^85*q^1624+2244*p^130*q^1578+310346*p^128*q^1580+ 11533078*p^126*q^1582+148605330*p^124*q^1584+1977898916*p^122*q^1586+ 23492764020*p^120*q^1588+251111063372*p^118*q^1590+2460867299789*p^116*q^1592+ 21588631339740*p^114*q^1594+148708205973901*p^112*q^1596+581321519520226*p^110* q^1598+833346439773403*p^108*q^1600+389582614214410*p^106*q^1602+80575284397974 *p^104*q^1604+11213206143462*p^102*q^1606+1292278562513*p^100*q^1608+ 130969274862*p^98*q^1610+11764588867*p^96*q^1612+863601090*p^94*q^1614+59185758 *p^92*q^1616+1648084*p^90*q^1618+113356*p^88*q^1620+2160*p^86*q^1622+72*p^131*q ^1576+29014*p^129*q^1578+1847258*p^127*q^1580+46054411*p^125*q^1582+507546186*p ^123*q^1584+6542820155*p^121*q^1586+73422637294*p^119*q^1588+753750907994*p^117 *q^1590+7051680001546*p^115*q^1592+56756474489454*p^113*q^1594+314679550394832* p^111*q^1596+800171355357693*p^109*q^1598+660929966999850*p^107*q^1600+ 198460665513324*p^105*q^1602+32513604035476*p^103*q^1604+4080191335701*p^101*q^ 1606+440160335906*p^99*q^1608+41914376919*p^97*q^1610+3513985844*p^95*q^1612+ 225361188*p^93*q^1614+13827686*p^91*q^1616+254316*p^89*q^1618+58430*p^87*q^1620 +184*p^85*q^1622+274*p^130*q^1576+180228*p^128*q^1578+9776804*p^126*q^1580+ 136454598*p^124*q^1582+1744949365*p^122*q^1584+21048949990*p^120*q^1586+ 224833716227*p^118*q^1588+2220767093332*p^116*q^1590+19569351438599*p^114*q^ 1592+137864400362506*p^112*q^1594+557089785101517*p^110*q^1596+848012255869256* p^108*q^1598+413871589340951*p^106*q^1600+88337398463924*p^104*q^1602+ 12377403428865*p^102*q^1604+1437843444516*p^100*q^1606+146103320825*p^98*q^1608 +13180275512*p^96*q^1610+987989385*p^94*q^1612+67294400*p^92*q^1614+2162246*p^ 90*q^1616+52400*p^88*q^1618+9006*p^86*q^1620+4*p^131*q^1574+22612*p^129*q^1576+ 1632630*p^127*q^1578+39411246*p^125*q^1580+449267120*p^123*q^1582+5828173950*p^ 121*q^1584+65722360136*p^119*q^1586+676849696558*p^117*q^1588+6384554502040*p^ 115*q^1590+51777372193088*p^113*q^1592+296308087648824*p^111*q^1594+ 786004101617960*p^109*q^1596+689668690974983*p^107*q^1598+214224803097004*p^105 *q^1600+35879771888290*p^103*q^1602+4520298765354*p^101*q^1604+491490460512*p^ 99*q^1606+46978007298*p^97*q^1608+3993110718*p^95*q^1610+258728078*p^93*q^1612+ 17041926*p^91*q^1614+292664*p^89*q^1616+57490*p^87*q^1618+48*p^85*q^1620+696*p^ 130*q^1574+177070*p^128*q^1576+7686446*p^126*q^1578+126338398*p^124*q^1580+ 1553394232*p^122*q^1582+18735169979*p^120*q^1584+201815776340*p^118*q^1586+ 1996231467447*p^116*q^1588+17792456619082*p^114*q^1590+126991813506503*p^112*q^ 1592+535517624897370*p^110*q^1594+855663181620794*p^108*q^1596+441170210920054* p^106*q^1598+96397566906676*p^104*q^1600+13709033836192*p^102*q^1602+ 1595687623231*p^100*q^1604+163125738090*p^98*q^1606+14694986781*p^96*q^1608+ 1126482780*p^94*q^1610+70928416*p^92*q^1612+2867406*p^90*q^1614+45912*p^88*q^ 1616+11776*p^86*q^1618+8*p^84*q^1620+7074*p^129*q^1574+1091170*p^127*q^1576+ 33269874*p^125*q^1578+398270010*p^123*q^1580+5140542911*p^121*q^1582+ 58739097872*p^119*q^1584+608052178565*p^117*q^1586+5757488945410*p^115*q^1588+ 47382023921165*p^113*q^1590+277022835573470*p^111*q^1592+774698794446333*p^109* q^1594+714053887275648*p^107*q^1596+231997357021024*p^105*q^1598+39420292790956 *p^103*q^1600+5018715667620*p^101*q^1602+546874549136*p^99*q^1604+52624912897*p ^97*q^1606+4516785236*p^95*q^1608+293547196*p^93*q^1610+20682292*p^91*q^1612+ 398974*p^89*q^1614+19624*p^87*q^1616+872*p^85*q^1618+240*p^130*q^1572+144116*p^ 128*q^1574+6740118*p^126*q^1576+116017916*p^124*q^1578+1374722612*p^122*q^1580+ 16761147314*p^120*q^1582+180665117788*p^118*q^1584+1800504656562*p^116*q^1586+ 16111041823089*p^114*q^1588+117408116684986*p^112*q^1590+510706165991875*p^110* q^1592+866240541284554*p^108*q^1594+466871771971329*p^106*q^1596+ 105526792787816*p^104*q^1598+15126655414321*p^102*q^1600+1775632539682*p^100*q^ 1602+181856093672*p^98*q^1604+16462384092*p^96*q^1606+1285257426*p^94*q^1608+ 78878240*p^92*q^1610+4012610*p^90*q^1612+42044*p^88*q^1614+19572*p^86*q^1616+4* p^131*q^1570+5928*p^129*q^1572+979300*p^127*q^1574+27786046*p^125*q^1576+ 356624755*p^123*q^1578+4571182678*p^121*q^1580+52565675030*p^119*q^1582+ 545656300596*p^117*q^1584+5207093121305*p^115*q^1586+43159139567762*p^113*q^ 1588+259866814066365*p^111*q^1590+756905452774788*p^109*q^1592+741677676455788* p^107*q^1594+249713371139726*p^105*q^1596+43451172659853*p^103*q^1598+ 5556581666640*p^101*q^1600+609795796109*p^99*q^1602+58873159962*p^97*q^1604+ 5076009514*p^95*q^1606+339121088*p^93*q^1608+22701971*p^91*q^1610+459876*p^89*q ^1612+7876*p^87*q^1614+1520*p^85*q^1616+16*p^130*q^1570+80080*p^128*q^1572+ 5165388*p^126*q^1574+102057874*p^124*q^1576+1218365836*p^122*q^1578+14879058360 *p^120*q^1580+162061460184*p^118*q^1582+1617522274556*p^116*q^1584+ 14631475462722*p^114*q^1586+107906275503167*p^112*q^1588+488627278952622*p^110* q^1590+869165863353003*p^108*q^1592+495852643303632*p^106*q^1594+ 114935647774605*p^104*q^1596+16746500432644*p^102*q^1598+1970630795185*p^100*q^ 1600+203191724150*p^98*q^1602+18423581834*p^96*q^1604+1477453002*p^94*q^1606+ 85970648*p^92*q^1608+5382016*p^90*q^1610+71750*p^88*q^1612+10616*p^86*q^1614+32 *p^84*q^1616+36*p^131*q^1568+3828*p^129*q^1570+782894*p^127*q^1572+23838430*p^ 125*q^1574+326493020*p^123*q^1576+4062542761*p^121*q^1578+47022473486*p^119*q^ 1580+490197485374*p^117*q^1582+4692507540514*p^115*q^1584+39425442190499*p^113* q^1586+242128636332522*p^111*q^1588+741965553821760*p^109*q^1590+ 764042234566270*p^107*q^1592+269760022727327*p^105*q^1594+47687903845354*p^103* q^1596+6166814524072*p^101*q^1598+678231372710*p^99*q^1600+65887403165*p^97*q^ 1602+5693170850*p^95*q^1604+387584440*p^93*q^1606+25462272*p^91*q^1608+717335*p ^89*q^1610+4050*p^87*q^1612+3760*p^85*q^1614+132*p^130*q^1568+49994*p^128*q^ 1570+4421502*p^126*q^1572+88908010*p^124*q^1574+1070201411*p^122*q^1576+ 13229255796*p^120*q^1578+144877978756*p^118*q^1580+1457444773994*p^116*q^1582+ 13232086779591*p^114*q^1584+99499148234130*p^112*q^1586+464010697772642*p^110*q ^1588+875086178597144*p^108*q^1590+522596216235968*p^106*q^1592+125622557059962 *p^104*q^1594+18462887468952*p^102*q^1596+2192059568244*p^100*q^1598+ 226427337685*p^98*q^1600+20669917616*p^96*q^1602+1676909073*p^94*q^1604+ 96656242*p^92*q^1606+6397394*p^90*q^1608+64484*p^88*q^1610+1574*p^86*q^1612+144 *p^84*q^1614+832*p^129*q^1568+552656*p^127*q^1570+19990102*p^125*q^1572+ 294244058*p^123*q^1574+3622216072*p^121*q^1576+42095570834*p^119*q^1578+ 439836260664*p^117*q^1580+4241710130640*p^115*q^1582+35860184809926*p^113*q^ 1584+226338024127521*p^111*q^1586+721265312761126*p^109*q^1588+789569749958329* p^107*q^1590+289470470200020*p^105*q^1592+52515937214930*p^103*q^1594+ 6823244535706*p^101*q^1596+755866721796*p^99*q^1598+73643519128*p^97*q^1600+ 6363638746*p^95*q^1602+452775456*p^93*q^1604+27400869*p^91*q^1606+1128880*p^89* q^1608+10672*p^87*q^1610+4184*p^85*q^1612+560*p^130*q^1566+37140*p^128*q^1568+ 3821102*p^126*q^1570+76866351*p^124*q^1572+958546320*p^122*q^1574+11753703596*p ^120*q^1576+129966474492*p^118*q^1578+1308902428169*p^116*q^1580+12005934479034 *p^114*q^1582+91225526810207*p^112*q^1584+441883416457420*p^110*q^1586+ 873427737935220*p^108*q^1588+552732840003716*p^106*q^1590+136566121470108*p^104 *q^1592+20433699989854*p^102*q^1594+2432495748549*p^100*q^1596+253209421740*p^ 98*q^1598+23196608399*p^96*q^1600+1920971334*p^94*q^1602+110066512*p^92*q^1604+ 7670208*p^90*q^1606+91714*p^88*q^1608+204*p^86*q^1610+340*p^84*q^1612+12*p^131* q^1564+1828*p^129*q^1566+370794*p^127*q^1568+16629378*p^125*q^1570+263209664*p^ 123*q^1572+3206853325*p^121*q^1574+37514000682*p^119*q^1576+394764730133*p^117* q^1578+3817802394676*p^115*q^1580+32707841344611*p^113*q^1582+210184483316186*p ^111*q^1584+703282644848606*p^109*q^1586+809395284738042*p^107*q^1588+ 311769168571969*p^105*q^1590+57558604469750*p^103*q^1592+7568796876328*p^101*q^ 1594+839990523612*p^99*q^1596+82207670326*p^97*q^1598+7095443360*p^95*q^1600+ 516679301*p^93*q^1602+28370852*p^91*q^1604+1460266*p^89*q^1606+9750*p^87*q^1608 +508*p^85*q^1610+8*p^83*q^1612+64*p^130*q^1564+14532*p^128*q^1566+2859902*p^126 *q^1568+66888688*p^124*q^1570+852856624*p^122*q^1572+10462009592*p^120*q^1574+ 116306178225*p^118*q^1576+1178683205746*p^116*q^1578+10849244504283*p^114*q^ 1580+83947099300286*p^112*q^1582+417785411760711*p^110*q^1584+874456192487170*p ^108*q^1586+580194875130243*p^106*q^1588+148949007260062*p^104*q^1590+ 22511160985475*p^102*q^1592+2705251405776*p^100*q^1594+282007559159*p^98*q^1596 +26061622786*p^96*q^1598+2166731926*p^94*q^1600+128175118*p^92*q^1602+9068789*p ^90*q^1604+182972*p^88*q^1606+1024*p^86*q^1608+1008*p^84*q^1610+24*p^131*q^1562 +3996*p^129*q^1564+275950*p^127*q^1566+15434702*p^125*q^1568+233087677*p^123*q^ 1570+2858387756*p^121*q^1572+33544993518*p^119*q^1574+353976463408*p^117*q^1576 +3449179634646*p^115*q^1578+29702588593050*p^113*q^1580+195859477724277*p^111*q ^1582+680111416894714*p^109*q^1584+832076832834940*p^107*q^1586+333569244208322 *p^105*q^1588+63317302771788*p^103*q^1590+8372331937208*p^101*q^1592+ 936474766404*p^99*q^1594+92008142808*p^97*q^1596+7969926757*p^95*q^1598+ 603979002*p^93*q^1600+31506042*p^91*q^1602+1842214*p^89*q^1604+8412*p^87*q^1606 +4*p^85*q^1608+8*p^83*q^1610+168*p^130*q^1562+16848*p^128*q^1564+2187814*p^126* q^1566+55819284*p^124*q^1568+765796464*p^122*q^1570+9306158380*p^120*q^1572+ 104212412764*p^118*q^1574+1058160731589*p^116*q^1576+9831086242162*p^114*q^1578 +76797125329373*p^112*q^1580+396248553078904*p^110*q^1582+867952327589801*p^108 *q^1584+610992827903260*p^106*q^1586+161608828136223*p^104*q^1588+ 24889564512510*p^102*q^1590+2999017901163*p^100*q^1592+314880831350*p^98*q^1594 +29126357252*p^96*q^1596+2426615736*p^94*q^1598+148183898*p^92*q^1600+9118478*p ^90*q^1602+268336*p^88*q^1604+1456*p^86*q^1606+158*p^84*q^1608+4*p^131*q^1560+ 1836*p^129*q^1562+149144*p^127*q^1564+12288526*p^125*q^1566+205694070*p^123*q^ 1568+2529671310*p^121*q^1570+29804459870*p^119*q^1572+317651563448*p^117*q^1574 +3102543126414*p^115*q^1576+27055475876866*p^113*q^1578+181306286101902*p^111*q ^1580+659897124207907*p^109*q^1582+848439901165530*p^107*q^1584+358073169052624 *p^105*q^1586+69316886791182*p^103*q^1588+9283418994592*p^101*q^1590+ 1040833649406*p^99*q^1592+102798851082*p^97*q^1594+8945684242*p^95*q^1596+ 698446990*p^93*q^1598+34241384*p^91*q^1600+2605971*p^89*q^1602+21062*p^87*q^ 1604+44*p^85*q^1606+136*p^83*q^1608+372*p^130*q^1560+20326*p^128*q^1562+1648618 *p^126*q^1564+51608648*p^124*q^1566+685000779*p^122*q^1568+8313813868*p^120*q^ 1570+93339275799*p^118*q^1572+952370427802*p^116*q^1574+8877745438957*p^114*q^ 1576+70511179498306*p^112*q^1578+373047836689916*p^110*q^1580+864388102201592*p ^108*q^1582+638422962038713*p^106*q^1584+175896748813980*p^104*q^1586+ 27406382762127*p^102*q^1588+3334212508460*p^100*q^1590+350676291822*p^98*q^1592 +32712150718*p^96*q^1594+2711082547*p^94*q^1596+173339794*p^92*q^1598+10034062* p^90*q^1600+337168*p^88*q^1602+628*p^86*q^1604+16*p^131*q^1558+1180*p^129*q^ 1560+124190*p^127*q^1562+10205272*p^125*q^1564+176268978*p^123*q^1566+ 2249959654*p^121*q^1568+26578230593*p^119*q^1570+284490956870*p^117*q^1572+ 2799909249772*p^115*q^1574+24539090463404*p^113*q^1576+168416038236925*p^111*q^ 1578+634924828230922*p^109*q^1580+867867924426578*p^107*q^1582+381801697324588* p^105*q^1584+76141185398394*p^103*q^1586+10262899031400*p^101*q^1588+ 1159653649671*p^99*q^1590+114868128386*p^97*q^1592+10043205649*p^95*q^1594+ 802433012*p^93*q^1596+39595832*p^91*q^1598+2797428*p^89*q^1600+38136*p^87*q^ 1602+156*p^85*q^1604+28*p^83*q^1606+124*p^130*q^1558+18638*p^128*q^1560+1101830 *p^126*q^1562+44623160*p^124*q^1564+609898610*p^122*q^1566+7403705487*p^120*q^ 1568+83548888276*p^118*q^1570+854886412375*p^116*q^1572+8037827388160*p^114*q^ 1574+64395162956881*p^112*q^1576+352355929630434*p^110*q^1578+853199583794579*p ^108*q^1580+669413932626090*p^106*q^1582+190364271997286*p^104*q^1584+ 30277552124884*p^102*q^1586+3695521721588*p^100*q^1588+391449495818*p^98*q^1590 +36569128713*p^96*q^1592+3034282358*p^94*q^1594+205084228*p^92*q^1596+9961326*p ^90*q^1598+568408*p^88*q^1600+1468*p^86*q^1602+8*p^82*q^1606+12*p^131*q^1556+ 2852*p^129*q^1558+108002*p^127*q^1560+8079710*p^125*q^1562+156829236*p^123*q^ 1564+2011271477*p^121*q^1566+23657190750*p^119*q^1568+255401293517*p^117*q^1570 +2517294084824*p^115*q^1572+22320742967891*p^113*q^1574+155477992940650*p^111*q ^1576+612892535371305*p^109*q^1578+880099906705206*p^107*q^1580+408558263170209 *p^105*q^1582+83238353450930*p^103*q^1584+11376714444633*p^101*q^1586+ 1288664816158*p^99*q^1588+128403893233*p^97*q^1590+11304143224*p^95*q^1592+ 912754410*p^93*q^1594+45778062*p^91*q^1596+3275498*p^89*q^1598+51588*p^87*q^ 1600+32*p^85*q^1602+260*p^130*q^1556+8920*p^128*q^1558+787200*p^126*q^1560+ 38552648*p^124*q^1562+535704095*p^122*q^1564+6575575020*p^120*q^1566+ 74577443579*p^118*q^1568+768521573300*p^116*q^1570+7249949424104*p^114*q^1572+ 58996451030938*p^112*q^1574+330492399366671*p^110*q^1576+845039575910814*p^108* q^1578+696220389975675*p^106*q^1580+206750830241130*p^104*q^1582+33302753325999 *p^102*q^1584+4105638229260*p^100*q^1586+435738269044*p^98*q^1588+40948024962*p ^96*q^1590+3379019738*p^94*q^1592+239756106*p^92*q^1594+10398346*p^90*q^1596+ 700694*p^88*q^1598+3800*p^86*q^1600+8*p^84*q^1602+2*p^82*q^1604+1740*p^129*q^ 1556+109648*p^127*q^1558+6167034*p^125*q^1560+140543684*p^123*q^1562+1790426632 *p^121*q^1564+21161563501*p^119*q^1566+228907614254*p^117*q^1568+2271188419485* p^115*q^1570+20223004670650*p^113*q^1572+144015401043608*p^111*q^1574+ 586981470729546*p^109*q^1576+895330151566688*p^107*q^1578+433982450506914*p^105 *q^1580+91315607763200*p^103*q^1582+12568024456278*p^101*q^1584+1435358641055*p ^99*q^1586+143416050198*p^97*q^1588+12718439104*p^95*q^1590+1028610936*p^93*q^ 1592+55099974*p^91*q^1594+3438032*p^89*q^1596+87744*p^87*q^1598+42*p^85*q^1600+ 240*p^130*q^1554+15004*p^128*q^1556+648444*p^126*q^1558+32865198*p^124*q^1560+ 471125942*p^122*q^1562+5872762087*p^120*q^1564+66646663426*p^118*q^1566+ 689437380041*p^116*q^1568+6558427495800*p^114*q^1570+53778723610688*p^112*q^ 1572+310886595314708*p^110*q^1574+829728637001273*p^108*q^1576+726543034550626* p^106*q^1578+223207348032828*p^104*q^1580+36771548706640*p^102*q^1582+ 4550069848795*p^100*q^1584+486640306384*p^98*q^1586+45830471156*p^96*q^1588+ 3809245848*p^94*q^1590+286577987*p^92*q^1592+11413818*p^90*q^1594+888530*p^88*q ^1596+6756*p^86*q^1598+2048*p^129*q^1554+75218*p^127*q^1556+4404312*p^125*q^ 1558+124111840*p^123*q^1560+1589837265*p^121*q^1562+18813412420*p^119*q^1564+ 205317627166*p^117*q^1566+2040259111618*p^115*q^1568+18373474533723*p^113*q^ 1570+132577578288786*p^111*q^1572+563855711249739*p^109*q^1574+903266392074064* p^107*q^1576+462671197162874*p^105*q^1578+99650978893298*p^103*q^1580+ 13923618353304*p^101*q^1582+1593057221964*p^99*q^1584+160065897788*p^97*q^1586+ 14236436212*p^95*q^1588+1138883524*p^93*q^1590+63227998*p^91*q^1592+3177818*p^ 89*q^1594+135162*p^87*q^1596+244*p^85*q^1598+48*p^130*q^1552+13052*p^128*q^1554 +521926*p^126*q^1556+27015118*p^124*q^1558+417505180*p^122*q^1560+5228319428*p^ 120*q^1562+59462400950*p^118*q^1564+619607328094*p^116*q^1566+5911150712932*p^ 114*q^1568+49192258573738*p^112*q^1570+290516681678860*p^110*q^1572+ 817239644604554*p^108*q^1574+752109605287110*p^106*q^1576+241767469868452*p^104 *q^1578+40405395249769*p^102*q^1580+5054710847410*p^100*q^1582+541779961606*p^ 98*q^1584+51351337554*p^96*q^1586+4286570083*p^94*q^1588+333837048*p^92*q^1590+ 13684006*p^90*q^1592+1129976*p^88*q^1594+10360*p^86*q^1596+4*p^131*q^1550+2440* p^129*q^1552+69154*p^127*q^1554+3591928*p^125*q^1556+111725662*p^123*q^1558+ 1409505598*p^121*q^1560+16846874726*p^119*q^1562+183907333650*p^117*q^1564+ 1839920352239*p^115*q^1566+16626829448796*p^113*q^1568+122495488620598*p^111*q^ 1570+537417927359928*p^109*q^1572+913854946165260*p^107*q^1574+489704566133044* p^105*q^1576+109145873620791*p^103*q^1578+15374787206444*p^101*q^1580+ 1774302153105*p^99*q^1582+178789363680*p^97*q^1584+16016395556*p^95*q^1586+ 1274044678*p^93*q^1588+78616600*p^91*q^1590+3103176*p^89*q^1592+174768*p^87*q^ 1594+564*p^85*q^1596+36*p^130*q^1550+12188*p^128*q^1552+486206*p^126*q^1554+ 21062528*p^124*q^1556+369001300*p^122*q^1558+4653214228*p^120*q^1560+ 53078395888*p^118*q^1562+555598290432*p^116*q^1564+5341663522652*p^114*q^1566+ 44760167524558*p^112*q^1568+272323779808594*p^110*q^1570+798128035053141*p^108* q^1572+781003105024718*p^106*q^1574+260337981202493*p^104*q^1576+44562947466420 *p^102*q^1578+5597162833679*p^100*q^1580+604433669666*p^98*q^1582+57381703084*p ^96*q^1584+4819876782*p^94*q^1586+379732528*p^92*q^1588+15339704*p^90*q^1590+ 1090248*p^88*q^1592+18928*p^86*q^1594+8*p^84*q^1596+1084*p^129*q^1550+67672*p^ 127*q^1552+2591464*p^125*q^1554+96790232*p^123*q^1556+1245142768*p^121*q^1558+ 14995472958*p^119*q^1560+164803626188*p^117*q^1562+1652112972280*p^115*q^1564+ 15089707920193*p^113*q^1566+112485914474100*p^111*q^1568+513959899106146*p^109* q^1570+916805578692356*p^107*q^1572+520002930821154*p^105*q^1574+ 118917271237460*p^103*q^1576+17022895196444*p^101*q^1578+1969130572118*p^99*q^ 1580+199760333818*p^97*q^1582+17917687486*p^95*q^1584+1427088326*p^93*q^1586+ 95957936*p^91*q^1588+3198330*p^89*q^1590+290320*p^87*q^1592+1268*p^85*q^1594+80 *p^130*q^1548+15748*p^128*q^1550+353412*p^126*q^1552+16921210*p^124*q^1554+ 334793397*p^122*q^1556+4143422786*p^120*q^1558+47417811915*p^118*q^1560+ 499308486220*p^116*q^1562+4812273699896*p^114*q^1564+40873109612478*p^112*q^ 1566+253550501616562*p^110*q^1568+782055284003192*p^108*q^1570+804395601856095* p^106*q^1572+281207111360486*p^104*q^1574+48926851226546*p^102*q^1576+ 6215599163452*p^100*q^1578+672658398046*p^98*q^1580+64228781712*p^96*q^1582+ 5448107724*p^94*q^1584+425819518*p^92*q^1586+18616768*p^90*q^1588+1096674*p^88* q^1590+23024*p^86*q^1592+16*p^84*q^1594+752*p^129*q^1548+61398*p^127*q^1550+ 2413888*p^125*q^1552+82612852*p^123*q^1554+1093197074*p^121*q^1556+13405781681* p^119*q^1558+147268152784*p^117*q^1560+1488140111731*p^115*q^1562+ 13640128839734*p^113*q^1564+103658902873081*p^111*q^1566+487612692201068*p^109* q^1568+922729855912052*p^107*q^1570+548108416691282*p^105*q^1572+ 130007219846969*p^103*q^1574+18783897512356*p^101*q^1576+2192068550990*p^99*q^ 1578+222920208674*p^97*q^1580+20132940802*p^95*q^1582+1589022218*p^93*q^1584+ 115766750*p^91*q^1586+3579914*p^89*q^1588+313232*p^87*q^1590+1656*p^85*q^1592+8 *p^130*q^1546+10956*p^128*q^1548+311514*p^126*q^1550+12896050*p^124*q^1552+ 299234246*p^122*q^1554+3684104861*p^120*q^1556+42369365020*p^118*q^1558+ 447831498132*p^116*q^1560+4346136887074*p^114*q^1562+37145586076204*p^112*q^ 1564+236852696592912*p^110*q^1566+759688645226102*p^108*q^1568+831255513099744* p^106*q^1570+301862835620055*p^104*q^1572+53898572425220*p^102*q^1574+ 6881046687773*p^100*q^1576+749880790406*p^98*q^1578+71823991375*p^96*q^1580+ 6117799062*p^94*q^1582+480506129*p^92*q^1584+23625546*p^90*q^1586+865256*p^88*q ^1588+55140*p^86*q^1590+144*p^84*q^1592+828*p^129*q^1546+75488*p^127*q^1548+ 1903414*p^125*q^1550+68294278*p^123*q^1552+973447747*p^121*q^1554+11943763688*p ^119*q^1556+131865317063*p^117*q^1558+1335615069320*p^115*q^1560+12364316522590 *p^113*q^1562+94980939057580*p^111*q^1564+464159615923153*p^109*q^1566+ 920485544765314*p^107*q^1568+579795678667781*p^105*q^1570+141367105420266*p^103 *q^1572+20788604902177*p^101*q^1574+2432477326946*p^99*q^1576+249307680994*p^97 *q^1578+22520072950*p^95*q^1580+1802693464*p^93*q^1582+134978132*p^91*q^1584+ 3930082*p^89*q^1586+388450*p^87*q^1588+1892*p^85*q^1590+8128*p^128*q^1546+ 269346*p^126*q^1548+10618448*p^124*q^1550+268704212*p^122*q^1552+3256765548*p^ 120*q^1554+37810165851*p^118*q^1556+402115736676*p^116*q^1558+3911930418217*p^ 114*q^1560+33862041596626*p^112*q^1562+219842362760059*p^110*q^1564+ 740469848852076*p^108*q^1566+851733723166822*p^106*q^1568+325154556526878*p^104 *q^1570+59097011808016*p^102*q^1572+7635657237034*p^100*q^1574+833872756115*p^ 98*q^1576+80248743560*p^96*q^1578+6877136444*p^94*q^1580+526559694*p^92*q^1582+ 29700018*p^90*q^1584+818040*p^88*q^1586+66080*p^86*q^1588+68*p^84*q^1590+300*p^ 129*q^1544+67612*p^127*q^1546+1474100*p^125*q^1548+55765672*p^123*q^1550+ 867724238*p^121*q^1552+10662799129*p^119*q^1554+117885742428*p^117*q^1556+ 1202692445598*p^115*q^1558+11167021124570*p^113*q^1560+87327915139835*p^111*q^ 1562+438576014796214*p^109*q^1564+921239751254120*p^107*q^1566+608413995794816* p^105*q^1568+154275593277188*p^103*q^1570+22918390426814*p^101*q^1572+ 2707323311921*p^99*q^1574+278108447572*p^97*q^1576+25311231948*p^95*q^1578+ 2030808544*p^93*q^1580+157607026*p^91*q^1582+5125494*p^89*q^1584+334310*p^87*q^ 1586+7248*p^85*q^1588+8*p^83*q^1590+6772*p^128*q^1544+309924*p^126*q^1546+ 9194482*p^124*q^1548+235498358*p^122*q^1550+2881819027*p^120*q^1552+33853034512 *p^118*q^1554+360271811081*p^116*q^1556+3530950825354*p^114*q^1558+ 30728902527983*p^112*q^1560+204660355020480*p^110*q^1562+715721468205046*p^108* q^1564+875565463443444*p^106*q^1566+347939796485117*p^104*q^1568+65042779348220 *p^102*q^1570+8450609758317*p^100*q^1572+929814397450*p^98*q^1574+89848846239*p ^96*q^1576+7729443530*p^94*q^1578+591997372*p^92*q^1580+37474214*p^90*q^1582+ 795452*p^88*q^1584+96264*p^86*q^1586+80*p^84*q^1588+44*p^129*q^1542+56820*p^127 *q^1544+1193616*p^125*q^1546+44346918*p^123*q^1548+781906588*p^121*q^1550+ 9480784072*p^119*q^1552+105388522016*p^117*q^1554+1078998457038*p^115*q^1556+ 10112398535626*p^113*q^1558+79839610793408*p^111*q^1560+415649235690096*p^109*q ^1562+914187844126080*p^107*q^1564+640760860892908*p^105*q^1566+167370510636580 *p^103*q^1568+25348802574588*p^101*q^1570+3001401351860*p^99*q^1572+ 310415694791*p^97*q^1574+28235176626*p^95*q^1576+2292454702*p^93*q^1578+ 175175280*p^91*q^1580+6257800*p^89*q^1582+214614*p^87*q^1584+11024*p^85*q^1586+ 4168*p^128*q^1542+297820*p^126*q^1544+6981752*p^124*q^1546+202609122*p^122*q^ 1548+2542147062*p^120*q^1550+30202853969*p^118*q^1552+323354321800*p^116*q^1554 +3175668133610*p^114*q^1556+27978431525680*p^112*q^1558+189375973464185*p^110*q ^1560+693980212447844*p^108*q^1562+892580779779033*p^106*q^1564+373535073626268 *p^104*q^1566+71221292635945*p^102*q^1568+9374603411856*p^100*q^1570+ 1033981076761*p^98*q^1572+100592557958*p^96*q^1574+8691872256*p^94*q^1576+ 660498548*p^92*q^1578+46156101*p^90*q^1580+998218*p^88*q^1582+127528*p^86*q^ 1584+552*p^84*q^1586+20*p^129*q^1540+48120*p^127*q^1542+1186072*p^125*q^1544+ 38675860*p^123*q^1546+708719274*p^121*q^1548+8463643191*p^119*q^1550+ 94318573236*p^117*q^1552+971317699069*p^115*q^1554+9126212162578*p^113*q^1556+ 73263469404571*p^111*q^1558+391084161017794*p^109*q^1560+909783886675168*p^107* q^1562+669550067856172*p^105*q^1564+182248622616387*p^103*q^1566+27923779373024 *p^101*q^1568+3340248330409*p^99*q^1570+346065250784*p^97*q^1572+31705820483*p^ 95*q^1574+2587402216*p^93*q^1576+197776234*p^91*q^1578+8623102*p^89*q^1580+ 174672*p^87*q^1582+13784*p^85*q^1584+4*p^130*q^1538+1292*p^128*q^1540+284604*p^ 126*q^1542+5625752*p^124*q^1544+167950976*p^122*q^1546+2251205677*p^120*q^1548+ 26972912926*p^118*q^1550+289245498111*p^116*q^1552+2863702512418*p^114*q^1554+ 25350023423700*p^112*q^1556+175782109101258*p^110*q^1558+667381924565488*p^108* q^1560+912679072710224*p^106*q^1562+398414929797776*p^104*q^1564+78276174866382 *p^102*q^1566+10368379727923*p^100*q^1568+1152304169666*p^98*q^1570+ 112512028371*p^96*q^1572+9742618822*p^94*q^1574+743690294*p^92*q^1576+54320082* p^90*q^1578+1139402*p^88*q^1580+76516*p^86*q^1582+1568*p^84*q^1584+34736*p^127* q^1540+1125656*p^125*q^1542+30744788*p^123*q^1544+634043598*p^121*q^1546+ 7488141068*p^119*q^1548+84380017701*p^117*q^1550+871317912936*p^115*q^1552+ 8256886549445*p^113*q^1554+66853487841300*p^111*q^1556+369212910264049*p^109*q^ 1558+897832479773572*p^107*q^1560+701871713275555*p^105*q^1562+197299911700824* p^103*q^1564+30854811805263*p^101*q^1566+3701583782520*p^99*q^1568+386209499772 *p^97*q^1570+35414450420*p^95*q^1572+2914201345*p^93*q^1574+218297676*p^91*q^ 1576+11255030*p^89*q^1578+173314*p^87*q^1580+33772*p^85*q^1582+16*p^83*q^1584+ 620*p^128*q^1538+268330*p^126*q^1540+4720820*p^124*q^1542+144904282*p^122*q^ 1544+2022228880*p^120*q^1546+24107864567*p^118*q^1548+259577272180*p^116*q^1550 +2574670856239*p^114*q^1552+23052216388294*p^112*q^1554+162161184777687*p^110*q ^1556+643974755509976*p^108*q^1558+925309545689647*p^106*q^1560+426248715541712 *p^104*q^1562+85601221835664*p^102*q^1564+11498843759904*p^100*q^1566+ 1281361357895*p^98*q^1568+125985056046*p^96*q^1570+10953994292*p^94*q^1572+ 847461784*p^92*q^1574+63288658*p^90*q^1576+1610432*p^88*q^1578+48420*p^86*q^ 1580+952*p^84*q^1582+72*p^129*q^1536+17600*p^127*q^1538+1106102*p^125*q^1540+ 25217180*p^123*q^1542+554519040*p^121*q^1544+6623864183*p^119*q^1546+ 75404219146*p^117*q^1548+783234637718*p^115*q^1550+7445063409326*p^113*q^1552+ 61215148334320*p^111*q^1554+346001449660310*p^109*q^1556+888848891287490*p^107* q^1558+729963268772426*p^105*q^1560+214314608933973*p^103*q^1562+33965479080676 *p^101*q^1564+4116300657817*p^99*q^1566+430168304222*p^97*q^1568+39725295133*p^ 95*q^1570+3271395276*p^93*q^1572+239153098*p^91*q^1574+14464516*p^89*q^1576+ 190588*p^87*q^1578+27240*p^85*q^1580+160*p^83*q^1582+160*p^128*q^1536+211636*p^ 126*q^1538+4278326*p^124*q^1540+120967056*p^122*q^1542+1821034568*p^120*q^1544+ 21539123658*p^118*q^1546+232236492282*p^116*q^1548+2321063516760*p^114*q^1550+ 20866576557069*p^112*q^1552+150101017665932*p^110*q^1554+616242580828720*p^108* q^1556+941229922729956*p^106*q^1558+452898520740310*p^104*q^1560+93932358603418 *p^102*q^1562+12709308606673*p^100*q^1564+1427459583712*p^98*q^1566+ 140763090454*p^96*q^1568+12281621932*p^94*q^1570+955917970*p^92*q^1572+72977834 *p^90*q^1574+2246653*p^88*q^1576+30460*p^86*q^1578+5316*p^84*q^1580+16*p^129*q^ 1534+9340*p^127*q^1536+1138792*p^125*q^1538+20202376*p^123*q^1540+484767688*p^ 121*q^1542+5863078550*p^119*q^1544+67460873795*p^117*q^1546+702314243816*p^115* q^1548+6729136257685*p^113*q^1550+55768637225722*p^111*q^1552+325326655993490*p ^109*q^1554+872269487739428*p^107*q^1556+761783712422566*p^105*q^1558+ 231425585354036*p^103*q^1560+37506146242908*p^101*q^1562+4562738587766*p^99*q^ 1564+480346741937*p^97*q^1566+44537213578*p^95*q^1568+3690112256*p^93*q^1570+ 273114508*p^91*q^1572+17655140*p^89*q^1574+243090*p^87*q^1576+16020*p^85*q^1578 +24*p^83*q^1580+616*p^128*q^1534+146424*p^126*q^1536+3850346*p^124*q^1538+ 100863908*p^122*q^1540+1637028802*p^120*q^1542+19161789812*p^118*q^1544+ 208223279840*p^116*q^1546+2084909870431*p^114*q^1548+18947699956310*p^112*q^ 1550+138119840500655*p^110*q^1552+591734206872814*p^108*q^1554+949044575456582* p^106*q^1556+482869172409064*p^104*q^1558+102537305722055*p^102*q^1560+ 14083181397748*p^100*q^1562+1585444457040*p^98*q^1564+157200095638*p^96*q^1566+ 13712341864*p^94*q^1568+1075149770*p^92*q^1570+78010410*p^90*q^1572+3091156*p^ 88*q^1574+28204*p^86*q^1576+7276*p^84*q^1578+8*p^82*q^1580+3944*p^127*q^1534+ 1007638*p^125*q^1536+17066392*p^123*q^1538+421433568*p^121*q^1540+5216729486*p^ 119*q^1542+60347525476*p^117*q^1544+631256975926*p^115*q^1546+6064245848552*p^ 113*q^1548+50976240338215*p^111*q^1550+303824826972480*p^109*q^1552+ 858789462744331*p^107*q^1554+788293420398984*p^105*q^1556+250776531081904*p^103 *q^1558+41241293239872*p^101*q^1560+5072490123920*p^99*q^1562+535337597158*p^97 *q^1564+50068063346*p^95*q^1566+4168139488*p^93*q^1568+307854802*p^91*q^1570+ 22254462*p^89*q^1572+383806*p^87*q^1574+7528*p^85*q^1576+408*p^83*q^1578+436*p^ 128*q^1532+89972*p^126*q^1534+3988156*p^124*q^1536+83744122*p^122*q^1538+ 1461586836*p^120*q^1540+17071273710*p^118*q^1542+186265436737*p^116*q^1544+ 1878432393290*p^114*q^1546+17132480093021*p^112*q^1548+127485516979746*p^110*q^ 1550+563684405793651*p^108*q^1552+960025330803592*p^106*q^1554+511066042380558* p^104*q^1556+112369514335024*p^102*q^1558+15557973494827*p^100*q^1560+ 1766360992664*p^98*q^1562+175504861199*p^96*q^1564+15393379580*p^94*q^1566+ 1210660027*p^92*q^1568+89047914*p^90*q^1570+4131512*p^88*q^1572+28388*p^86*q^ 1574+4464*p^84*q^1576+28*p^129*q^1530+3944*p^127*q^1532+832812*p^125*q^1534+ 14318392*p^123*q^1536+358294182*p^121*q^1538+4654964724*p^119*q^1540+ 53921409951*p^117*q^1542+565438866178*p^115*q^1544+5476551790489*p^113*q^1546+ 46354558003028*p^111*q^1548+284593064140878*p^109*q^1550+838469094491416*p^107* q^1552+818604348333456*p^105*q^1554+270020957216190*p^103*q^1556+45497236449324 *p^101*q^1558+5617750812166*p^99*q^1560+596999215588*p^97*q^1562+56011587224*p^ 95*q^1564+4662143273*p^93*q^1566+347736866*p^91*q^1568+24386902*p^89*q^1570+ 499742*p^87*q^1572+3248*p^85*q^1574+1336*p^83*q^1576+12*p^130*q^1528+44*p^128*q ^1530+49174*p^126*q^1532+3803462*p^124*q^1534+68146944*p^122*q^1536+1307716750* p^120*q^1538+15125210995*p^118*q^1540+166975241654*p^116*q^1542+1686754336691*p ^114*q^1544+15543228159488*p^112*q^1546+117025416727068*p^110*q^1548+ 538698536561682*p^108*q^1550+962865266144947*p^106*q^1552+542692619743462*p^104 *q^1554+122433866798184*p^102*q^1556+17235627343804*p^100*q^1558+1961362692693* p^98*q^1560+196256281058*p^96*q^1562+17270166883*p^94*q^1564+1374322792*p^92*q^ 1566+98292364*p^90*q^1568+5640390*p^88*q^1570+58996*p^86*q^1572+2452*p^84*q^ 1574+8*p^82*q^1576+4968*p^127*q^1530+607946*p^125*q^1532+13372386*p^123*q^1534+ 310191864*p^121*q^1536+4177841906*p^119*q^1538+48277414920*p^117*q^1540+ 508238328395*p^115*q^1542+4931763558240*p^113*q^1544+42307038107479*p^111*q^ 1546+264819108166004*p^109*q^1548+820981069617062*p^107*q^1550+843029653511124* p^105*q^1552+291767186891158*p^103*q^1554+49977167101524*p^101*q^1556+ 6243280509676*p^99*q^1558+665183215432*p^97*q^1560+62814037737*p^95*q^1562+ 5246294418*p^93*q^1564+392875916*p^91*q^1566+28772574*p^89*q^1568+791958*p^87*q ^1570+2164*p^85*q^1572+796*p^83*q^1574+8*p^130*q^1526+460*p^128*q^1528+29292*p^ 126*q^1530+3537322*p^124*q^1532+56980834*p^122*q^1534+1143661597*p^120*q^1536+ 13432096796*p^118*q^1538+149198239650*p^116*q^1540+1518048257964*p^114*q^1542+ 14036379274795*p^112*q^1544+107766459368422*p^110*q^1546+510812387799842*p^108* q^1548+968614298943722*p^106*q^1550+572158708121274*p^104*q^1552+ 133918144166708*p^102*q^1554+19023652646318*p^100*q^1556+2184480682948*p^98*q^ 1558+218876003488*p^96*q^1560+19427442344*p^94*q^1562+1538305818*p^92*q^1564+ 110688706*p^90*q^1566+6623906*p^88*q^1568+62282*p^86*q^1570+240*p^84*q^1572+152 *p^82*q^1574+162*p^129*q^1526+1328*p^127*q^1528+401452*p^125*q^1530+12516440*p^ 123*q^1532+256351784*p^121*q^1534+3754342346*p^119*q^1536+43101829786*p^117*q^ 1538+455158910990*p^115*q^1540+4451313584823*p^113*q^1542+38416189047718*p^111* q^1544+247245098770327*p^109*q^1546+797285754453528*p^107*q^1548+ 870918485069265*p^105*q^1550+313272997638368*p^103*q^1552+55068033196903*p^101* q^1554+6911621658984*p^99*q^1556+741622305279*p^97*q^1558+70222858808*p^95*q^ 1560+5861858442*p^93*q^1562+445924778*p^91*q^1564+32006696*p^89*q^1566+1164586* p^87*q^1568+7468*p^85*q^1570+672*p^83*q^1572+12*p^130*q^1524+48*p^128*q^1526+ 35408*p^126*q^1528+2997636*p^124*q^1530+48522892*p^122*q^1532+1014246912*p^120* q^1534+11933406822*p^118*q^1536+133756821580*p^116*q^1538+1362852139416*p^114*q ^1540+12720819043742*p^112*q^1542+98681739186125*p^110*q^1544+486065790563948*p ^108*q^1546+966008659825769*p^106*q^1548+605049705299060*p^104*q^1550+ 145663465808263*p^102*q^1552+21064015134570*p^100*q^1554+2425269863714*p^98*q^ 1556+244863828214*p^96*q^1558+21837497197*p^94*q^1560+1749471582*p^92*q^1562+ 125642178*p^90*q^1564+8121334*p^88*q^1566+112734*p^86*q^1568+76*p^84*q^1570+80* p^82*q^1572+156*p^129*q^1524+3540*p^127*q^1526+238852*p^125*q^1528+12170114*p^ 123*q^1530+217137098*p^121*q^1532+3360352165*p^119*q^1534+38432901402*p^117*q^ 1536+408674715223*p^115*q^1538+4005103775096*p^113*q^1540+35002820482830*p^111* q^1542+229297097867746*p^109*q^1544+776728282382687*p^107*q^1546+ 892240938425906*p^105*q^1548+337458888535739*p^103*q^1550+60421112934636*p^101* q^1552+7675364638178*p^99*q^1554+825541757296*p^97*q^1556+78588211515*p^95*q^ 1558+6578763430*p^93*q^1560+497006692*p^91*q^1562+34853782*p^89*q^1564+1505276* p^87*q^1566+7750*p^85*q^1568+8*p^83*q^1570+8*p^81*q^1572+888*p^128*q^1524+17960 *p^126*q^1526+2320512*p^124*q^1528+42199146*p^122*q^1530+873636892*p^120*q^1532 +10659674854*p^118*q^1534+119626981227*p^116*q^1536+1226217143238*p^114*q^1538+ 11481168961289*p^112*q^1540+90667437951752*p^110*q^1542+458878237995946*p^108*q ^1544+966602886898914*p^106*q^1546+635044944277825*p^104*q^1548+158996011110224 *p^102*q^1550+23236168422200*p^100*q^1552+2700112005524*p^98*q^1554+ 273131922934*p^96*q^1556+24573783084*p^94*q^1558+1961169328*p^92*q^1560+ 144573756*p^90*q^1562+10115576*p^88*q^1564+200558*p^86*q^1566+588*p^84*q^1568+ 112*p^82*q^1570+208*p^129*q^1522+1508*p^127*q^1524+208932*p^125*q^1526+11389976 *p^123*q^1528+182290382*p^121*q^1530+3011302092*p^119*q^1532+34205274385*p^117* q^1534+365845314352*p^115*q^1536+3611867257888*p^113*q^1538+31741549771972*p^ 111*q^1540+213362699116645*p^109*q^1542+750327488118818*p^107*q^1544+ 917182532588250*p^105*q^1546+361160260258532*p^103*q^1548+66503697662776*p^101* q^1550+8495623249076*p^99*q^1552+920517156834*p^97*q^1554+87864088442*p^95*q^ 1556+7387966181*p^93*q^1558+564206702*p^91*q^1560+39397296*p^89*q^1562+1798222* p^87*q^1564+9688*p^85*q^1566+4*p^81*q^1570+8*p^130*q^1520+1476*p^128*q^1522+ 19752*p^126*q^1524+1605396*p^124*q^1526+38654100*p^122*q^1528+751055420*p^120*q ^1530+9511630990*p^118*q^1532+107218609254*p^116*q^1534+1100057830267*p^114*q^ 1536+10392539203722*p^112*q^1538+82863596784226*p^110*q^1540+434724031503818*p^ 108*q^1542+958640931691692*p^106*q^1544+668798136506234*p^104*q^1546+ 172541016337885*p^102*q^1548+25705303632664*p^100*q^1550+2995327254389*p^98*q^ 1552+305165315130*p^96*q^1554+27513103228*p^94*q^1556+2204821502*p^92*q^1558+ 161358044*p^90*q^1560+10794042*p^88*q^1562+284832*p^86*q^1564+1132*p^84*q^1566+ 26*p^129*q^1520+2766*p^127*q^1522+150488*p^125*q^1524+9942824*p^123*q^1526+ 153879208*p^121*q^1528+2683241152*p^119*q^1530+30451152976*p^117*q^1532+ 328250097963*p^115*q^1534+3248161947076*p^113*q^1536+28881653874762*p^111*q^ 1538+197309659903762*p^109*q^1540+727207542648968*p^107*q^1542+934544080689028* p^105*q^1544+387844171426210*p^103*q^1546+72861576355978*p^101*q^1548+ 9431074384403*p^99*q^1550+1024850572488*p^97*q^1552+98398369610*p^95*q^1554+ 8346122378*p^93*q^1556+635926038*p^91*q^1558+45324874*p^89*q^1560+2681216*p^87* q^1562+28188*p^85*q^1564+16*p^83*q^1566+8*p^81*q^1568+1782*p^128*q^1520+16968*p ^126*q^1522+1194700*p^124*q^1524+37121234*p^122*q^1526+645685627*p^120*q^1528+ 8547566760*p^118*q^1530+95886320115*p^116*q^1532+989745107462*p^114*q^1534+ 9372390767165*p^112*q^1536+75964443961554*p^110*q^1538+408797808174868*p^108*q^ 1540+953804197886088*p^106*q^1542+698753830541745*p^104*q^1544+187973560078646* p^102*q^1546+28332644338585*p^100*q^1548+3334009854174*p^98*q^1550+340289820858 *p^96*q^1552+30919095030*p^94*q^1554+2467741935*p^92*q^1556+182536944*p^90*q^ 1558+12383858*p^88*q^1560+317700*p^86*q^1562+352*p^84*q^1564+160*p^129*q^1518+ 7804*p^127*q^1520+109668*p^125*q^1522+8077958*p^123*q^1524+130418292*p^121*q^ 1526+2353370722*p^119*q^1528+27076490299*p^117*q^1530+293578216186*p^115*q^1532 +2926701509034*p^113*q^1534+26152340675106*p^111*q^1536+183007659157243*p^109*q ^1538+699113149081678*p^107*q^1540+955562218191877*p^105*q^1542+413625687208784 *p^103*q^1544+80101139070996*p^101*q^1546+10431865188418*p^99*q^1548+ 1141848830792*p^97*q^1550+109914301164*p^95*q^1552+9371962307*p^93*q^1554+ 716231180*p^91*q^1556+52237590*p^89*q^1558+3042754*p^87*q^1560+43246*p^85*q^ 1562+136*p^83*q^1564+710*p^128*q^1518+9116*p^126*q^1520+939124*p^124*q^1522+ 33866910*p^122*q^1524+549428338*p^120*q^1526+7675395672*p^118*q^1528+ 85742942838*p^116*q^1530+887618191446*p^114*q^1532+8477703225052*p^112*q^1534+ 69294526364793*p^110*q^1536+385678498971126*p^108*q^1538+940985044600560*p^106* q^1540+732446458894486*p^104*q^1542+203485835793093*p^102*q^1544+31323467199058 *p^100*q^1546+3696541745139*p^98*q^1548+380248169078*p^96*q^1550+34594693915*p^ 94*q^1552+2775950646*p^92*q^1554+204184566*p^90*q^1556+13377178*p^88*q^1558+ 530282*p^86*q^1560+2664*p^84*q^1562+4*p^129*q^1516+10312*p^127*q^1518+114100*p^ 125*q^1520+6203072*p^123*q^1522+119035086*p^121*q^1524+2078813497*p^119*q^1526+ 24145206394*p^117*q^1528+263743964448*p^115*q^1530+2630895814780*p^113*q^1532+ 23770208694246*p^111*q^1534+168739366601278*p^109*q^1536+674063955253699*p^107* q^1538+968595970795402*p^105*q^1540+442623511687903*p^103*q^1542+87630904263606 *p^101*q^1544+11578233193135*p^99*q^1546+1271032677914*p^97*q^1548+123146208092 *p^95*q^1550+10593902912*p^93*q^1552+815721419*p^91*q^1554+59893234*p^89*q^1556 +3763700*p^87*q^1558+51218*p^85*q^1560+1400*p^128*q^1516+26212*p^126*q^1518+ 651402*p^124*q^1520+30992844*p^122*q^1522+463477592*p^120*q^1524+6856248278*p^ 118*q^1526+76496304540*p^116*q^1528+797205272340*p^114*q^1530+7636560299180*p^ 112*q^1532+63405432537196*p^110*q^1534+361220803420777*p^108*q^1536+ 931041932399400*p^106*q^1538+761847513526701*p^104*q^1540+221133801183176*p^102 *q^1542+34489909053581*p^100*q^1544+4112554600948*p^98*q^1546+423657570483*p^96 *q^1548+38762421276*p^94*q^1550+3111494541*p^92*q^1552+224782564*p^90*q^1554+ 15914742*p^88*q^1556+692758*p^86*q^1558+5314*p^84*q^1560+8*p^82*q^1562+7256*p^ 127*q^1516+59926*p^125*q^1518+4900586*p^123*q^1520+106026996*p^121*q^1522+ 1802937932*p^119*q^1524+21601735377*p^117*q^1526+235895133922*p^115*q^1528+ 2370343845333*p^113*q^1530+21501096364078*p^111*q^1532+156106897314142*p^109*q^ 1534+644843875629554*p^107*q^1536+984901113864709*p^105*q^1538+470391625956532* p^103*q^1540+96181490138640*p^101*q^1542+12798424832584*p^99*q^1544+ 1415771434417*p^97*q^1546+137513140202*p^95*q^1548+11904911030*p^93*q^1550+ 912076124*p^91*q^1552+68295980*p^89*q^1554+3903552*p^87*q^1556+75482*p^85*q^ 1558+104*p^83*q^1560+392*p^128*q^1514+42482*p^126*q^1516+608200*p^124*q^1518+ 26288922*p^122*q^1520+400988260*p^120*q^1522+6135287917*p^118*q^1524+ 68278700534*p^116*q^1526+714867495852*p^114*q^1528+6901063083974*p^112*q^1530+ 57726195196909*p^110*q^1532+339511535201298*p^108*q^1534+913418111278393*p^106* q^1536+794760755993924*p^104*q^1538+238837668991690*p^102*q^1540+38100251750080 *p^100*q^1542+4559877122200*p^98*q^1544+473558791792*p^96*q^1546+43445210105*p^ 94*q^1548+3522535614*p^92*q^1550+258906302*p^90*q^1552+18883530*p^88*q^1554+ 967290*p^86*q^1556+7164*p^84*q^1558+8076*p^127*q^1514+79690*p^125*q^1516+ 3622834*p^123*q^1518+98967258*p^121*q^1520+1562850718*p^119*q^1522+19306734144* p^117*q^1524+211654282060*p^115*q^1526+2129162281794*p^113*q^1528+ 19516803187958*p^111*q^1530+143537892458770*p^109*q^1532+618887075505931*p^107* q^1534+992833204741070*p^105*q^1536+501472225996334*p^103*q^1538+ 105059787448782*p^101*q^1540+14193651692179*p^99*q^1542+1573799000838*p^97*q^ 1544+153841248175*p^95*q^1546+13353496506*p^93*q^1548+1023680199*p^91*q^1550+ 72887586*p^89*q^1552+4352024*p^87*q^1554+117994*p^85*q^1556+546*p^83*q^1558+24* p^128*q^1512+42082*p^126*q^1514+412640*p^124*q^1516+21759272*p^122*q^1518+ 347355588*p^120*q^1520+5445359548*p^118*q^1522+60869705308*p^116*q^1524+ 642009227466*p^114*q^1526+6213681860907*p^112*q^1528+52726531618408*p^110*q^ 1530+316788356649322*p^108*q^1532+899025277883096*p^106*q^1534+822510455061351* p^104*q^1536+258842598732802*p^102*q^1538+41918344257368*p^100*q^1540+ 5070786823942*p^98*q^1542+527859347343*p^96*q^1544+48733301640*p^94*q^1546+ 3986313763*p^92*q^1548+290847802*p^90*q^1550+22775242*p^88*q^1552+1143420*p^86* q^1554+8854*p^84*q^1556+8*p^129*q^1510+5976*p^127*q^1512+127654*p^125*q^1514+ 3013096*p^123*q^1516+90401720*p^121*q^1518+1345966296*p^119*q^1520+17339427294* p^117*q^1522+189309250874*p^115*q^1524+1917067092883*p^113*q^1526+ 17636081667010*p^111*q^1528+132429549985539*p^109*q^1530+589186214507368*p^107* q^1532+1004257886606998*p^105*q^1534+530811526707166*p^103*q^1536+ 115136581476184*p^101*q^1538+15682996806290*p^99*q^1540+1753197023697*p^97*q^ 1542+171781747538*p^95*q^1544+14996560584*p^93*q^1546+1147099480*p^91*q^1548+ 82692527*p^89*q^1550+5390690*p^87*q^1552+179038*p^85*q^1554+596*p^83*q^1556+36* p^128*q^1510+39032*p^126*q^1512+340560*p^124*q^1514+17222314*p^122*q^1516+ 306394440*p^120*q^1518+4809923145*p^118*q^1520+54285883762*p^116*q^1522+ 575136696770*p^114*q^1524+5609412767822*p^112*q^1526+47932407474410*p^110*q^ 1528+296619460818792*p^108*q^1530+877224353700399*p^106*q^1532+854041924878030* p^104*q^1534+278762552124488*p^102*q^1536+46251080515282*p^100*q^1538+ 5619940868170*p^98*q^1540+589072733072*p^96*q^1542+54497143999*p^94*q^1544+ 4485945604*p^92*q^1546+329593795*p^90*q^1548+24668172*p^88*q^1550+1079890*p^86* q^1552+14632*p^84*q^1554+32*p^82*q^1556+812*p^127*q^1510+163302*p^125*q^1512+ 2325176*p^123*q^1514+80244010*p^121*q^1516+1165590487*p^119*q^1518+15518193660* p^117*q^1520+169707838206*p^115*q^1522+1721390654318*p^113*q^1524+ 15991073384474*p^111*q^1526+121492235684840*p^109*q^1528+562817278100774*p^107* q^1530+1006657787294148*p^105*q^1532+563772129283757*p^103*q^1534+ 125509043861940*p^101*q^1536+17384719188948*p^99*q^1538+1948277493624*p^97*q^ 1540+192401856902*p^95*q^1542+16854278766*p^93*q^1544+1304674702*p^91*q^1546+ 90302768*p^89*q^1548+6898166*p^87*q^1550+300728*p^85*q^1552+1184*p^83*q^1554+ 164*p^128*q^1508+42620*p^126*q^1510+373074*p^124*q^1512+14012760*p^122*q^1514+ 279866572*p^120*q^1516+4234449446*p^118*q^1518+48541643816*p^116*q^1520+ 516580616092*p^114*q^1522+5048306688244*p^112*q^1524+43705158898518*p^110*q^ 1526+275851512953028*p^108*q^1528+858644876090864*p^106*q^1530+879307317769939* p^104*q^1532+301336035573080*p^102*q^1534+50832757291525*p^100*q^1536+ 6247159956984*p^98*q^1538+656571706699*p^96*q^1540+61101765618*p^94*q^1542+ 5063258360*p^92*q^1544+369591116*p^90*q^1546+28638738*p^88*q^1548+1368436*p^86* q^1550+20186*p^84*q^1552+16*p^82*q^1554+894*p^127*q^1508+161586*p^125*q^1510+ 1762368*p^123*q^1512+68350134*p^121*q^1514+999012034*p^119*q^1516+13870137897*p ^117*q^1518+151330805530*p^115*q^1520+1548309138430*p^113*q^1522+14431974472920 *p^111*q^1524+111794710965526*p^109*q^1526+533486467873122*p^107*q^1528+ 1012601632890271*p^105*q^1530+594282047459524*p^103*q^1532+137322370903167*p^ 101*q^1534+19191534874300*p^99*q^1536+2169604068951*p^97*q^1538+214578377474*p^ 95*q^1540+18891080269*p^93*q^1542+1461913354*p^91*q^1544+101253962*p^89*q^1546+ 7864128*p^87*q^1548+250922*p^85*q^1550+1212*p^83*q^1552+16*p^128*q^1506+14708*p ^126*q^1508+468892*p^124*q^1510+11291058*p^122*q^1512+253583858*p^120*q^1514+ 3709243022*p^118*q^1516+43451469202*p^116*q^1518+463045485573*p^114*q^1520+ 4555770179604*p^112*q^1522+39674633580842*p^110*q^1524+257390727595934*p^108*q^ 1526+833607308541841*p^106*q^1528+908294015286626*p^104*q^1530+323499377292217* p^102*q^1532+56034840833450*p^100*q^1534+6919235377835*p^98*q^1536+732240884452 *p^96*q^1538+68385256546*p^94*q^1540+5698296294*p^92*q^1542+420320398*p^90*q^ 1544+30655404*p^88*q^1546+1787714*p^86*q^1548+60474*p^84*q^1550+144*p^82*q^1552 +1476*p^127*q^1506+190848*p^125*q^1508+1537330*p^123*q^1510+57393452*p^121*q^ 1512+880675458*p^119*q^1514+12379076072*p^117*q^1516+135528622848*p^115*q^1518+ 1389478125326*p^113*q^1520+13073781966685*p^111*q^1522+102321598694394*p^109*q^ 1524+507226113581748*p^107*q^1526+1009572681079352*p^105*q^1528+628517756303137 *p^103*q^1530+149407322340352*p^101*q^1532+21266788410800*p^99*q^1534+ 2411066784948*p^97*q^1536+240520438696*p^95*q^1538+21223824134*p^93*q^1540+ 1668094393*p^91*q^1542+114841434*p^89*q^1544+9605324*p^87*q^1546+310000*p^85*q^ 1548+1116*p^83*q^1550+10198*p^126*q^1506+548558*p^124*q^1508+8691720*p^122*q^ 1510+229828072*p^120*q^1512+3226802994*p^118*q^1514+38844280303*p^116*q^1516+ 415470601166*p^114*q^1518+4095986352398*p^112*q^1520+36124273376512*p^110*q^ 1522+238559666419261*p^108*q^1524+811621308383668*p^106*q^1526+930552647549214* p^104*q^1528+348606972679546*p^102*q^1530+61497290982676*p^100*q^1532+ 7687381557006*p^98*q^1534+815110248632*p^96*q^1536+76496896650*p^94*q^1538+ 6399557053*p^92*q^1540+468678130*p^90*q^1542+31892470*p^88*q^1544+2212908*p^86* q^1546+55446*p^84*q^1548+48*p^82*q^1550+668*p^127*q^1504+126386*p^125*q^1506+ 1348094*p^123*q^1508+48109528*p^121*q^1510+773542678*p^119*q^1512+11010756642*p ^117*q^1514+120982715314*p^115*q^1516+1249389195678*p^113*q^1518+11789966692642 *p^111*q^1520+93960985478507*p^109*q^1522+478700389768316*p^107*q^1524+ 1009754448134962*p^105*q^1526+659753968972388*p^103*q^1528+163117601819425*p^ 101*q^1530+23460429267830*p^99*q^1532+2684570522340*p^97*q^1534+268212788428*p^ 95*q^1536+23845983266*p^93*q^1538+1880343874*p^91*q^1540+130840264*p^89*q^1542+ 11498922*p^87*q^1544+393508*p^85*q^1546+7798*p^83*q^1548+8*p^81*q^1550+9515*p^ 126*q^1504+633456*p^124*q^1506+7315434*p^122*q^1508+201352246*p^120*q^1510+ 2818645396*p^118*q^1512+34838067242*p^116*q^1514+372007721141*p^114*q^1516+ 3694209329298*p^112*q^1518+32742635287755*p^110*q^1520+221903643493570*p^108*q^ 1522+783796643572815*p^106*q^1524+956176289170268*p^104*q^1526+373146619765013* p^102*q^1528+67713580110474*p^100*q^1530+8512237037469*p^98*q^1532+909326891940 *p^96*q^1534+85707064634*p^94*q^1536+7190692074*p^92*q^1538+533344437*p^90*q^ 1540+35331744*p^88*q^1542+2661906*p^86*q^1544+59204*p^84*q^1546+20*p^82*q^1548+ 56*p^127*q^1502+77640*p^125*q^1504+1601904*p^123*q^1506+38524512*p^121*q^1508+ 702152548*p^119*q^1510+9744907168*p^117*q^1512+108273567058*p^115*q^1514+ 1120979579236*p^113*q^1516+10668008155691*p^111*q^1518+85809543254374*p^109*q^ 1520+453281537685629*p^107*q^1522+1001143522650672*p^105*q^1524+694655833749371 *p^103*q^1526+177101726531886*p^101*q^1528+25971166743783*p^99*q^1530+ 2980115767252*p^97*q^1532+300024935853*p^95*q^1534+26686309840*p^93*q^1536+ 2130212509*p^91*q^1538+147764436*p^89*q^1540+11597602*p^87*q^1542+529974*p^85*q ^1544+11260*p^83*q^1546+8272*p^126*q^1502+612472*p^124*q^1504+5498106*p^122*q^ 1506+176547378*p^120*q^1508+2443339062*p^118*q^1510+31129263955*p^116*q^1512+ 333609724590*p^114*q^1514+3319685330836*p^112*q^1516+29772634035524*p^110*q^ 1518+205031334093054*p^108*q^1520+759339781587366*p^106*q^1522+974275156833307* p^104*q^1524+400749658064336*p^102*q^1526+74229590545924*p^100*q^1528+ 9453837808484*p^98*q^1530+1012639878906*p^96*q^1532+96054662606*p^94*q^1534+ 8108962570*p^92*q^1536+604206126*p^90*q^1538+38439814*p^88*q^1540+3857262*p^86* q^1542+77616*p^84*q^1544+496*p^82*q^1546+44*p^127*q^1500+61565*p^125*q^1502+ 1790712*p^123*q^1504+32259968*p^121*q^1506+629904424*p^119*q^1508+8623443936*p^ 117*q^1510+96816852114*p^115*q^1512+1007487935376*p^113*q^1514+9614687602312*p^ 111*q^1516+78626256945765*p^109*q^1518+425963072065514*p^107*q^1520+ 995990399816051*p^105*q^1522+725828153070116*p^103*q^1524+192932623139151*p^101 *q^1526+28633219146958*p^99*q^1528+3316753512421*p^97*q^1530+334356435440*p^95* q^1532+29955025762*p^93*q^1534+2388092618*p^91*q^1536+166761667*p^89*q^1538+ 12577780*p^87*q^1540+608696*p^85*q^1542+8436*p^83*q^1544+8*p^128*q^1498+2216*p^ 126*q^1500+442762*p^124*q^1502+5040262*p^122*q^1504+149145106*p^120*q^1506+ 2146314002*p^118*q^1508+27844595636*p^116*q^1510+298286261836*p^114*q^1512+ 2991239344418*p^112*q^1514+26951988355879*p^110*q^1516+190111325862742*p^108*q^ 1518+729582745015995*p^106*q^1520+996014218383454*p^104*q^1522+427431761242864* p^102*q^1524+81614350176982*p^100*q^1526+10462054943928*p^98*q^1528+ 1129164552460*p^96*q^1530+107476849600*p^94*q^1532+9101982754*p^92*q^1534+ 688492048*p^90*q^1536+44269350*p^88*q^1538+4248322*p^86*q^1540+99940*p^84*q^ 1542+1844*p^82*q^1544+54728*p^125*q^1500+1990560*p^123*q^1502+25455758*p^121*q^ 1504+565351192*p^119*q^1506+7579540254*p^117*q^1508+86736663922*p^115*q^1510+ 903785927422*p^113*q^1512+8692584416476*p^111*q^1514+71687656809540*p^109*q^ 1516+401678464901319*p^107*q^1518+981959203038510*p^105*q^1520+760887554621729* p^103*q^1522+208943530101454*p^101*q^1524+31671734098658*p^99*q^1526+ 3681483002934*p^97*q^1528+373785190765*p^95*q^1530+33568263728*p^93*q^1532+ 2696044154*p^91*q^1534+189531202*p^89*q^1536+12103076*p^87*q^1538+981710*p^85*q ^1540+13796*p^83*q^1542+8*p^81*q^1544+1120*p^126*q^1498+365518*p^124*q^1500+ 5170744*p^122*q^1502+127058150*p^120*q^1504+1911382610*p^118*q^1506+24849516652 *p^116*q^1508+267473922104*p^114*q^1510+2686946622247*p^112*q^1512+ 24474105051726*p^110*q^1514+175175212692773*p^108*q^1516+703186283611318*p^106* q^1518+1009265851460475*p^104*q^1520+457546158996598*p^102*q^1522+ 89328476490382*p^100*q^1524+11615167841598*p^98*q^1526+1256906965669*p^96*q^ 1528+120495231376*p^94*q^1530+10259838467*p^92*q^1532+784412892*p^90*q^1534+ 50002664*p^88*q^1536+5090998*p^86*q^1538+129528*p^84*q^1540+728*p^82*q^1542+156 *p^127*q^1496+32414*p^125*q^1498+1812850*p^123*q^1500+20131934*p^121*q^1502+ 500649548*p^119*q^1504+6623187388*p^117*q^1506+77481817444*p^115*q^1508+ 811458973276*p^113*q^1510+7826367528950*p^111*q^1512+65545981597843*p^109*q^ 1514+376077379761612*p^107*q^1516+971457772714564*p^105*q^1518+791242084220918* p^103*q^1520+227125045966985*p^101*q^1522+34881631303302*p^99*q^1524+ 4095011284085*p^97*q^1526+416504139894*p^95*q^1528+37613302459*p^93*q^1530+ 3015997854*p^91*q^1532+212978768*p^89*q^1534+12893880*p^87*q^1536+1259382*p^85* q^1538+14574*p^83*q^1540+188*p^81*q^1542+212*p^126*q^1496+275022*p^124*q^1498+ 5381596*p^122*q^1500+105692572*p^120*q^1502+1698496206*p^118*q^1504+22181770380 *p^116*q^1506+239267146210*p^114*q^1508+2420124140800*p^112*q^1510+ 22131500436554*p^110*q^1512+161970515672026*p^108*q^1514+672469958282471*p^106* q^1516+1026116905523926*p^104*q^1518+486138751444219*p^102*q^1520+ 98081543489702*p^100*q^1522+12844978287545*p^98*q^1524+1401005631224*p^96*q^ 1526+134631090882*p^94*q^1528+11527388570*p^92*q^1530+885721831*p^90*q^1532+ 57708718*p^88*q^1534+4907448*p^86*q^1536+179558*p^84*q^1538+2020*p^82*q^1540+8* p^129*q^1492+16*p^127*q^1494+14654*p^125*q^1496+1671931*p^123*q^1498+17912758*p ^121*q^1500+440734956*p^119*q^1502+5848100394*p^117*q^1504+69484696635*p^115*q^ 1506+727581025566*p^113*q^1508+7071862588852*p^111*q^1510+59653311898050*p^109* q^1512+353195111587981*p^107*q^1514+952760920093782*p^105*q^1516+ 825423464085325*p^103*q^1518+245344902916014*p^101*q^1520+38560788481352*p^99*q ^1522+4544061180882*p^97*q^1524+465925274991*p^95*q^1526+42264618972*p^93*q^ 1528+3418433085*p^91*q^1530+249091794*p^89*q^1532+14206513*p^87*q^1534+1772778* p^85*q^1536+23978*p^83*q^1538+24*p^81*q^1540+1312*p^126*q^1494+241082*p^124*q^ 1496+5550818*p^122*q^1498+85122862*p^120*q^1500+1524384690*p^118*q^1502+ 19617314531*p^116*q^1504+214380803432*p^114*q^1506+2172217326875*p^112*q^1508+ 20072151626170*p^110*q^1510+148833330856765*p^108*q^1512+644960487353638*p^106* q^1514+1034280630976176*p^104*q^1516+518424231699678*p^102*q^1518+ 107157375610528*p^100*q^1520+14252629214090*p^98*q^1522+1557877295146*p^96*q^ 1524+150561034310*p^94*q^1526+12908343537*p^92*q^1528+990418280*p^90*q^1530+ 63355616*p^88*q^1532+4532434*p^86*q^1534+278982*p^84*q^1536+1760*p^82*q^1538+8* p^80*q^1540+4*p^129*q^1490+5824*p^125*q^1494+1277484*p^123*q^1496+16068384*p^ 121*q^1498+381567196*p^119*q^1500+5131044674*p^117*q^1502+62134621318*p^115*q^ 1504+652925469884*p^113*q^1506+6362709827082*p^111*q^1508+54460218799415*p^109* q^1510+329445825621824*p^107*q^1512+937310800562332*p^105*q^1514+ 854311284498380*p^103*q^1516+265944880472400*p^101*q^1518+42426121202628*p^99*q ^1520+5053695394757*p^97*q^1522+519175979254*p^95*q^1524+47435842149*p^93*q^ 1526+3856083022*p^91*q^1528+284406468*p^89*q^1530+16325436*p^87*q^1532+2089807* p^85*q^1534+26966*p^83*q^1536+216*p^81*q^1538+112*p^128*q^1490+604*p^126*q^1492 +138372*p^124*q^1494+5672788*p^122*q^1496+71077564*p^120*q^1498+1366901425*p^ 118*q^1500+17450543320*p^116*q^1502+191758644787*p^114*q^1504+1956012065796*p^ 112*q^1506+18131273929722*p^110*q^1508+137267142833952*p^108*q^1510+ 613828716291805*p^106*q^1512+1045695458630014*p^104*q^1514+548784589924724*p^ 102*q^1516+117469234382572*p^100*q^1518+15753642966961*p^98*q^1520+ 1736491892294*p^96*q^1522+168275804489*p^94*q^1524+14521696080*p^92*q^1526+ 1110984438*p^90*q^1528+74958356*p^88*q^1530+4468574*p^86*q^1532+433620*p^84*q^ 1534+3028*p^82*q^1536+8*p^129*q^1488+7060*p^125*q^1492+1163162*p^123*q^1494+ 15655952*p^121*q^1496+322870230*p^119*q^1498+4545428410*p^117*q^1500+ 55575037780*p^115*q^1502+585179085534*p^113*q^1504+5742976069957*p^111*q^1506+ 49472726604706*p^109*q^1508+308329639631959*p^107*q^1510+914260705216748*p^105* q^1512+886773308820871*p^103*q^1514+286526391939758*p^101*q^1516+46843904017048 *p^99*q^1518+5603919832174*p^97*q^1520+580110194737*p^95*q^1522+53140592052*p^ 93*q^1524+4340520763*p^91*q^1526+325030316*p^89*q^1528+17970134*p^87*q^1530+ 1951118*p^85*q^1532+44336*p^83*q^1534+160*p^81*q^1536+80*p^128*q^1488+44*p^126* q^1490+72942*p^124*q^1492+5066354*p^122*q^1494+58742254*p^120*q^1496+1221092224 *p^118*q^1498+15387712531*p^116*q^1500+171939031450*p^114*q^1502+1754748227042* p^112*q^1504+16428826873504*p^110*q^1506+125826938596308*p^108*q^1508+ 586087741407714*p^106*q^1510+1048106857718933*p^104*q^1512+582840620127476*p^ 102*q^1514+128119243163519*p^100*q^1516+17469342588270*p^98*q^1518+ 1930346648167*p^96*q^1520+188369323526*p^94*q^1522+16302263523*p^92*q^1524+ 1257653128*p^90*q^1526+86306416*p^88*q^1528+4382528*p^86*q^1530+716590*p^84*q^ 1532+4388*p^82*q^1534+12*p^80*q^1536+636*p^127*q^1488+7828*p^125*q^1490+909142* p^123*q^1492+15814560*p^121*q^1494+273726072*p^119*q^1496+4044224898*p^117*q^ 1498+49626483618*p^115*q^1500+525041108625*p^113*q^1502+5165611692800*p^111*q^ 1504+45088237110147*p^109*q^1506+286540108289538*p^107*q^1508+894765306369865*p ^105*q^1510+913039776726072*p^103*q^1512+309709604806895*p^101*q^1514+ 51496578340682*p^99*q^1516+6230546808577*p^97*q^1518+646371657666*p^95*q^1520+ 59562376031*p^93*q^1522+4896725330*p^91*q^1524+362753630*p^89*q^1526+21063850*p ^87*q^1528+1990358*p^85*q^1530+66654*p^83*q^1532+232*p^81*q^1534+152*p^128*q^ 1486+40*p^126*q^1488+41506*p^124*q^1490+4447656*p^122*q^1492+51345210*p^120*q^ 1494+1071236712*p^118*q^1496+13588656516*p^116*q^1498+153690278554*p^114*q^1500 +1578141146676*p^112*q^1502+14824246042599*p^110*q^1504+115749923475410*p^108*q ^1506+555231808058916*p^106*q^1508+1054080582435368*p^104*q^1510+ 614397536668451*p^102*q^1512+140178829160172*p^100*q^1514+19296204513784*p^98*q ^1516+2150167580718*p^96*q^1518+210265731592*p^94*q^1520+18330794530*p^92*q^ 1522+1407488642*p^90*q^1524+101231592*p^88*q^1526+4727706*p^86*q^1528+721492*p^ 84*q^1530+4418*p^82*q^1532+8*p^80*q^1534+812*p^127*q^1486+1560*p^125*q^1488+ 569654*p^123*q^1490+15898090*p^121*q^1492+226751746*p^119*q^1494+3630419012*p^ 117*q^1496+44364314000*p^115*q^1498+470469900960*p^113*q^1500+4660230721370*p^ 111*q^1502+40911819384566*p^109*q^1504+267245856958473*p^107*q^1506+ 868077173080542*p^105*q^1508+943100042246473*p^103*q^1510+332597694284748*p^101 *q^1512+56790292297828*p^99*q^1514+6906684701340*p^97*q^1516+721894299022*p^95* q^1518+66744802332*p^93*q^1520+5510276497*p^91*q^1522+411407902*p^89*q^1524+ 24851368*p^87*q^1526+1502744*p^85*q^1528+177922*p^83*q^1530+612*p^81*q^1532+8*p ^128*q^1484+1896*p^126*q^1486+56060*p^124*q^1488+4137024*p^122*q^1490+46628068* p^120*q^1492+940465346*p^118*q^1494+11996835675*p^116*q^1496+137778395034*p^114 *q^1498+1415820629995*p^112*q^1500+13417494820130*p^110*q^1502+105875080260928* p^108*q^1504+527673631976828*p^106*q^1506+1050488447791548*p^104*q^1508+ 649958423849150*p^102*q^1510+152581570296898*p^100*q^1512+21389326819000*p^98*q ^1514+2389937632704*p^96*q^1516+235564727362*p^94*q^1518+20588014571*p^92*q^ 1520+1603807956*p^90*q^1522+116847616*p^88*q^1524+5322022*p^86*q^1526+930722*p^ 84*q^1528+5964*p^82*q^1530+12*p^80*q^1532+1336*p^127*q^1484+1134*p^125*q^1486+ 324966*p^123*q^1488+14582586*p^121*q^1490+189736862*p^119*q^1492+3235654278*p^ 117*q^1494+39399820460*p^115*q^1496+421813123235*p^113*q^1498+4187011313236*p^ 111*q^1500+37221768386581*p^109*q^1502+247597336423926*p^107*q^1504+ 845036104514395*p^105*q^1506+965938114717346*p^103*q^1508+358484214533475*p^101 *q^1510+62341080891718*p^99*q^1512+7672659852123*p^97*q^1514+803604189322*p^95* q^1516+74618279071*p^93*q^1518+6186147268*p^91*q^1520+451469708*p^89*q^1522+ 28549308*p^87*q^1524+1287096*p^85*q^1526+196704*p^83*q^1528+210*p^81*q^1530+ 4500*p^126*q^1484+23688*p^124*q^1486+3135061*p^122*q^1488+44622172*p^120*q^1490 +807070727*p^118*q^1492+10644452582*p^116*q^1494+123251311605*p^114*q^1496+ 1273133902628*p^112*q^1498+12098730026273*p^110*q^1500+97176904764206*p^108*q^ 1502+497849538558195*p^106*q^1504+1050500252994924*p^104*q^1506+682055491147276 *p^102*q^1508+166637003176680*p^100*q^1510+23605045918250*p^98*q^1512+ 2662153526534*p^96*q^1514+263000838338*p^94*q^1516+23174996546*p^92*q^1518+ 1812076022*p^90*q^1520+135403624*p^88*q^1522+6685244*p^86*q^1524+792664*p^84*q^ 1526+28770*p^82*q^1528+40*p^80*q^1530+416*p^127*q^1482+3392*p^125*q^1484+301756 *p^123*q^1486+14299640*p^121*q^1488+163174793*p^119*q^1490+2899786524*p^117*q^ 1492+35098962777*p^115*q^1494+377856048682*p^113*q^1496+3775187603117*p^111*q^ 1498+33726270464178*p^109*q^1500+230134670681665*p^107*q^1502+815746672752392*p ^105*q^1504+992447856755507*p^103*q^1506+383727340326848*p^101*q^1508+ 68684889621709*p^99*q^1510+8503194984798*p^97*q^1512+897242239116*p^95*q^1514+ 83666514706*p^93*q^1516+6972500006*p^91*q^1518+510238340*p^89*q^1520+34557098*p ^87*q^1522+1219064*p^85*q^1524+304388*p^83*q^1526+268*p^81*q^1528+8*p^128*q^ 1480+7384*p^126*q^1482+14658*p^124*q^1484+2167000*p^122*q^1486+42489365*p^120*q ^1488+685040144*p^118*q^1490+9458346089*p^116*q^1492+110393256528*p^114*q^1494+ 1141336756894*p^112*q^1496+10941015428490*p^110*q^1498+88690316660697*p^108*q^ 1500+471072775984208*p^106*q^1502+1041378620726630*p^104*q^1504+718295175532394 *p^102*q^1506+180952684618731*p^100*q^1508+26146571376018*p^98*q^1510+ 2955775560033*p^96*q^1512+294234532230*p^94*q^1514+25920351128*p^92*q^1516+ 2048779034*p^90*q^1518+150302683*p^88*q^1520+7462378*p^86*q^1522+526114*p^84*q^ 1524+42504*p^82*q^1526+20*p^127*q^1480+14092*p^125*q^1482+207418*p^123*q^1484+ 12627175*p^121*q^1486+140871990*p^119*q^1488+2566315342*p^117*q^1490+ 31044590188*p^115*q^1492+338687170910*p^113*q^1494+3390238178268*p^111*q^1496+ 30647761279785*p^109*q^1498+212560627473756*p^107*q^1500+789907931714744*p^105* q^1502+1011233971099584*p^103*q^1504+412183308651189*p^101*q^1506+ 75294045655286*p^99*q^1508+9444877106914*p^97*q^1510+998808241494*p^95*q^1512+ 93695155526*p^93*q^1514+7855862412*p^91*q^1516+574148546*p^89*q^1518+41284828*p ^87*q^1520+1547394*p^85*q^1522+391844*p^83*q^1524+2504*p^81*q^1526+5444*p^126*q ^1480+8620*p^124*q^1482+1570557*p^122*q^1484+41803712*p^120*q^1486+586958418*p^ 118*q^1488+8463666232*p^116*q^1490+98752261538*p^114*q^1492+1026120505368*p^112 *q^1494+9857378456121*p^110*q^1496+81245966286280*p^108*q^1498+442555913821890* p^106*q^1500+1035498618434580*p^104*q^1502+750528936423660*p^102*q^1504+ 197170758192094*p^100*q^1506+28833014849171*p^98*q^1508+3291835483262*p^96*q^ 1510+328350812266*p^94*q^1512+29129363616*p^92*q^1514+2310697353*p^90*q^1516+ 165889810*p^88*q^1518+9159592*p^86*q^1520+349168*p^84*q^1522+58376*p^82*q^1524+ 156*p^127*q^1478+28216*p^125*q^1480+124778*p^123*q^1482+10401706*p^121*q^1484+ 126988398*p^119*q^1486+2248526624*p^117*q^1488+27580912414*p^115*q^1490+ 303097552850*p^113*q^1492+3054086214015*p^111*q^1494+27728694368176*p^109*q^ 1496+197001874648733*p^107*q^1498+758666168873764*p^105*q^1500+1033380169649195 *p^103*q^1502+439741267502648*p^101*q^1504+82833471933542*p^99*q^1506+ 10459499107660*p^97*q^1508+1114434313632*p^95*q^1510+104968538446*p^93*q^1512+ 8836607948*p^91*q^1514+651919084*p^89*q^1516+49493974*p^87*q^1518+1802870*p^85* q^1520+293704*p^83*q^1522+7606*p^81*q^1524+884*p^126*q^1478+27466*p^124*q^1480+ 1276048*p^122*q^1482+39846807*p^120*q^1484+497955600*p^118*q^1486+7568664364*p^ 116*q^1488+88253270858*p^114*q^1490+919904672553*p^112*q^1492+8906548077588*p^ 110*q^1494+74012184680740*p^108*q^1496+417128985052674*p^106*q^1498+ 1020745443542210*p^104*q^1500+786677811922526*p^102*q^1502+213638577584078*p^ 100*q^1504+31906064511258*p^98*q^1506+3653949551618*p^96*q^1508+367291412384*p^ 94*q^1510+32599434579*p^92*q^1512+2612355288*p^90*q^1514+183690412*p^88*q^1516+ 10838758*p^86*q^1518+296194*p^84*q^1520+130916*p^82*q^1522+80*p^80*q^1524+20*p^ 127*q^1476+34392*p^125*q^1478+76772*p^123*q^1480+7800885*p^121*q^1482+118213918 *p^119*q^1484+1960264604*p^117*q^1486+24465012468*p^115*q^1488+271955140082*p^ 113*q^1490+2741833731342*p^111*q^1492+25167330012150*p^109*q^1494+ 181406026034630*p^107*q^1496+731063021912135*p^105*q^1498+1047130723093294*p^ 103*q^1500+470675111471103*p^101*q^1502+90683367081978*p^99*q^1504+ 11614364142237*p^97*q^1506+1240385778252*p^95*q^1508+117601212275*p^93*q^1510+ 9943972676*p^91*q^1512+741966578*p^89*q^1514+55552936*p^87*q^1516+2254632*p^85* q^1518+194292*p^83*q^1520+5508*p^81*q^1522+1484*p^126*q^1476+73796*p^124*q^1478 +831456*p^122*q^1480+36868678*p^120*q^1482+426811726*p^118*q^1484+6748593464*p^ 116*q^1486+78610176553*p^114*q^1488+825723676192*p^112*q^1490+8017916289223*p^ 110*q^1492+67655775709244*p^108*q^1494+390318012949226*p^106*q^1496+ 1009625139102312*p^104*q^1498+818030620794811*p^102*q^1500+232207664340610*p^ 100*q^1502+35156897101468*p^98*q^1504+4066503102012*p^96*q^1506+409369813394*p^ 94*q^1508+36582500256*p^92*q^1510+2939028224*p^90*q^1512+202049124*p^88*q^1514+ 14082097*p^86*q^1516+367844*p^84*q^1518+131372*p^82*q^1520+914*p^80*q^1522+ 13856*p^125*q^1476+58070*p^123*q^1478+6302948*p^121*q^1480+112370122*p^119*q^ 1482+1697512420*p^117*q^1484+21827505860*p^115*q^1486+243485769070*p^113*q^1488 +2469817135308*p^111*q^1490+22750535684332*p^109*q^1492+167658553838036*p^107*q ^1494+698659320906482*p^105*q^1496+1064448762411987*p^103*q^1498+ 500200378178158*p^101*q^1500+99602806242343*p^99*q^1502+12854600438190*p^97*q^ 1504+1383455506691*p^95*q^1506+131750535460*p^93*q^1508+11173837273*p^91*q^1510 +844305140*p^89*q^1512+62430894*p^87*q^1514+2542000*p^85*q^1516+71068*p^83*q^ 1518+26896*p^81*q^1520+612*p^126*q^1474+128176*p^124*q^1476+614424*p^122*q^1478 +31747004*p^120*q^1480+373050560*p^118*q^1482+6003888872*p^116*q^1484+ 70115719350*p^114*q^1486+740094242535*p^112*q^1488+7237156987922*p^110*q^1490+ 61532022591070*p^108*q^1492+366409819095662*p^106*q^1494+989669097364246*p^104* q^1496+853524635541872*p^102*q^1498+250933647613039*p^100*q^1500+38874828269660 *p^98*q^1502+4514585036980*p^96*q^1504+457956607060*p^94*q^1506+41046384236*p^ 92*q^1508+3330415980*p^90*q^1510+229872227*p^88*q^1512+17362594*p^86*q^1514+ 496846*p^84*q^1516+122296*p^82*q^1518+168*p^80*q^1520+10240*p^125*q^1474+143734 *p^123*q^1476+4611882*p^121*q^1478+106810548*p^119*q^1480+1460899706*p^117*q^ 1482+19429455614*p^115*q^1484+218223485182*p^113*q^1486+2215634985026*p^111*q^ 1488+20621657031995*p^109*q^1490+154002821254616*p^107*q^1492+669928523562679*p ^105*q^1494+1072603839265288*p^103*q^1496+533499227928734*p^101*q^1498+ 108842335401546*p^99*q^1500+14262508848348*p^97*q^1502+1537896355946*p^95*q^ 1504+147339563929*p^93*q^1506+12483213630*p^91*q^1508+951789090*p^89*q^1510+ 66182920*p^87*q^1512+3178618*p^85*q^1514+57892*p^83*q^1516+38272*p^81*q^1518+50 *p^79*q^1520+76*p^126*q^1472+99088*p^124*q^1474+330040*p^122*q^1476+26126644*p^ 120*q^1478+332897473*p^118*q^1480+5296507354*p^116*q^1482+62341069264*p^114*q^ 1484+664312431146*p^112*q^1486+6511459680555*p^110*q^1488+56145436085298*p^108* q^1490+341667087685554*p^106*q^1492+973455891219244*p^104*q^1494+ 883043298203524*p^102*q^1496+272070525923274*p^100*q^1498+42787784702790*p^98*q ^1500+5023253093976*p^96*q^1502+510690813677*p^94*q^1504+46141201438*p^92*q^ 1506+3763320534*p^90*q^1508+260188118*p^88*q^1510+20707744*p^86*q^1512+594302*p ^84*q^1514+47690*p^82*q^1516+2992*p^80*q^1518+8*p^127*q^1470+7448*p^125*q^1472+ 309042*p^123*q^1474+3594682*p^121*q^1476+101895019*p^119*q^1478+1262275820*p^ 117*q^1480+17428341086*p^115*q^1482+195320303012*p^113*q^1484+1994961525866*p^ 111*q^1486+18621724171592*p^109*q^1488+141943973998867*p^107*q^1490+ 637339902119898*p^105*q^1492+1084253504023999*p^103*q^1494+564703032106014*p^ 101*q^1496+119381405323388*p^99*q^1498+15775914429782*p^97*q^1500+1715433601109 *p^95*q^1502+164890048142*p^93*q^1504+14049366130*p^91*q^1506+1083006596*p^89*q ^1508+73859543*p^87*q^1510+4504560*p^85*q^1512+86076*p^83*q^1514+52372*p^81*q^ 1516+56*p^126*q^1470+62640*p^124*q^1472+364286*p^122*q^1474+21209670*p^120*q^ 1476+302432544*p^118*q^1478+4659652769*p^116*q^1480+55509300940*p^114*q^1482+ 594920152197*p^112*q^1484+5873316895280*p^110*q^1486+50975444181760*p^108*q^ 1488+319515162557454*p^106*q^1490+949294791558419*p^104*q^1492+916736463077540* p^102*q^1494+293145984000582*p^100*q^1496+47267393799422*p^98*q^1498+ 5572601428510*p^96*q^1500+570405571242*p^94*q^1502+51749038064*p^92*q^1504+ 4216054672*p^90*q^1506+295972024*p^88*q^1508+22618570*p^86*q^1510+583342*p^84*q ^1512+8188*p^82*q^1514+7268*p^80*q^1516+1948*p^125*q^1470+386420*p^123*q^1472+ 2317006*p^121*q^1474+89944570*p^119*q^1476+1089977913*p^117*q^1478+15490059222* p^115*q^1480+174778602974*p^113*q^1482+1789064672932*p^111*q^1484+ 16863573568441*p^109*q^1486+130058984785210*p^107*q^1488+608238893336739*p^105* q^1490+1086709074524968*p^103*q^1492+599823141581887*p^101*q^1494+ 130203738894432*p^99*q^1496+17498577436092*p^97*q^1498+1906443584890*p^95*q^ 1500+184558380058*p^93*q^1502+15729143644*p^91*q^1504+1235999118*p^89*q^1506+ 79924284*p^87*q^1508+5888302*p^85*q^1510+133602*p^83*q^1512+36972*p^81*q^1514+ 124*p^79*q^1516+148*p^126*q^1468+53752*p^124*q^1470+578861*p^122*q^1472+ 16890456*p^120*q^1474+286611619*p^118*q^1476+4084336196*p^116*q^1478+ 49551456352*p^114*q^1480+534382792956*p^112*q^1482+5281297385533*p^110*q^1484+ 46447031055958*p^108*q^1486+296875870398436*p^106*q^1488+928557945154016*p^104* q^1490+943833464682974*p^102*q^1492+316915875059596*p^100*q^1494+51968859926128 *p^98*q^1496+6198733716012*p^96*q^1498+635864897656*p^94*q^1500+58124473298*p^ 92*q^1502+4747286370*p^90*q^1504+336576358*p^88*q^1506+25657048*p^86*q^1508+ 916520*p^84*q^1510+10552*p^82*q^1512+12744*p^80*q^1514+1428*p^125*q^1468+308768 *p^123*q^1470+1745740*p^121*q^1472+79197488*p^119*q^1474+947079490*p^117*q^1476 +13819037380*p^115*q^1478+155883899508*p^113*q^1480+1608827776336*p^111*q^1482+ 15209797383736*p^109*q^1484+119592947053970*p^107*q^1486+575970153546072*p^105* q^1488+1092394847111807*p^103*q^1490+632395080108898*p^101*q^1492+ 142530270668045*p^99*q^1494+19338644210686*p^97*q^1496+2125951069987*p^95*q^ 1498+206260045320*p^93*q^1500+17722142873*p^91*q^1502+1393126032*p^89*q^1504+ 88794572*p^87*q^1506+6989330*p^85*q^1508+102450*p^83*q^1510+4472*p^81*q^1512+ 904*p^79*q^1514+20*p^126*q^1466+23948*p^124*q^1468+942430*p^122*q^1470+12794360 *p^120*q^1472+266213860*p^118*q^1474+3561984947*p^116*q^1476+44226055750*p^114* q^1478+478713970063*p^112*q^1480+4762053855742*p^110*q^1482+42109429148837*p^ 108*q^1484+276745142736578*p^106*q^1486+900676633409518*p^104*q^1488+ 974686212229804*p^102*q^1490+340477331935522*p^100*q^1492+57335880028940*p^98*q ^1494+6873291730095*p^96*q^1496+709850371964*p^94*q^1498+65152315588*p^92*q^ 1500+5305941568*p^90*q^1502+389868668*p^88*q^1504+27783968*p^86*q^1506+1323758* p^84*q^1508+23716*p^82*q^1510+18928*p^80*q^1512+1284*p^125*q^1466+274500*p^123* q^1468+1588957*p^121*q^1470+66640948*p^119*q^1472+843817577*p^117*q^1474+ 12268880276*p^115*q^1476+139420607778*p^113*q^1478+1442455396014*p^111*q^1480+ 13759154840137*p^109*q^1482+109318150000514*p^107*q^1484+547259910044817*p^105* q^1486+1088612468895346*p^103*q^1488+668899828310451*p^101*q^1490+ 155175039676360*p^99*q^1492+21439796797912*p^97*q^1494+2362820512594*p^95*q^ 1496+231010838288*p^93*q^1498+19927392894*p^91*q^1500+1584732942*p^89*q^1502+ 99138342*p^87*q^1504+8315836*p^85*q^1506+146340*p^83*q^1508+876*p^81*q^1510+ 1496*p^79*q^1512+17260*p^124*q^1466+1038290*p^122*q^1468+9260346*p^120*q^1470+ 245107129*p^118*q^1472+3091090606*p^116*q^1474+39431652799*p^114*q^1476+ 429321014814*p^112*q^1478+4279067234220*p^110*q^1480+38305969619546*p^108*q^ 1482+256263602560642*p^106*q^1484+876575069128026*p^104*q^1486+998221210517397* p^102*q^1488+366920525805312*p^100*q^1490+62966676989403*p^98*q^1492+ 7639222995432*p^96*q^1494+790410578208*p^94*q^1496+72964435504*p^92*q^1498+ 5936696917*p^90*q^1500+441582250*p^88*q^1502+28610542*p^86*q^1504+1779856*p^84* q^1506+19816*p^82*q^1508+4468*p^80*q^1510+56*p^78*q^1512+620*p^125*q^1464+ 175858*p^123*q^1466+1901592*p^121*q^1468+55329305*p^119*q^1470+765502814*p^117* q^1472+10883414890*p^115*q^1474+124401694300*p^113*q^1476+1297261482250*p^111*q ^1478+12402936213730*p^109*q^1480+100297297955484*p^107*q^1482+515971942460018* p^105*q^1484+1088397813694772*p^103*q^1486+702004692069822*p^101*q^1488+ 169502606602581*p^99*q^1490+23678515938502*p^97*q^1492+2634186868146*p^95*q^ 1494+258080484516*p^93*q^1496+22506355514*p^91*q^1498+1783600828*p^89*q^1500+ 115649694*p^87*q^1502+10151104*p^85*q^1504+230848*p^83*q^1506+2792*p^81*q^1508+ 5760*p^79*q^1510+9848*p^124*q^1464+1049280*p^122*q^1466+7569268*p^120*q^1468+ 221096020*p^118*q^1470+2692662059*p^116*q^1472+35252893830*p^114*q^1474+ 384321862709*p^112*q^1476+3855119309360*p^110*q^1478+34685678794987*p^108*q^ 1480+238081065595346*p^106*q^1482+845712840705324*p^104*q^1484+1025692043607788 *p^102*q^1486+392890836935259*p^100*q^1488+69392312787848*p^98*q^1490+ 8469601235648*p^96*q^1492+882551254826*p^94*q^1494+81858775802*p^92*q^1496+ 6668486418*p^90*q^1498+509623440*p^88*q^1500+30093798*p^86*q^1502+2165584*p^84* q^1504+18664*p^82*q^1506+40*p^80*q^1508+56*p^78*q^1510+112*p^125*q^1462+128944* p^123*q^1464+2471854*p^121*q^1466+42645186*p^119*q^1468+699154888*p^117*q^1470+ 9586074276*p^115*q^1472+111096748809*p^113*q^1474+1162411940054*p^111*q^1476+ 11207769358024*p^109*q^1478+91503199134896*p^107*q^1480+488100156244181*p^105*q ^1482+1078568193093186*p^103*q^1484+739402696854413*p^101*q^1486+ 184102789304672*p^99*q^1488+26225248654573*p^97*q^1490+2925180837414*p^95*q^ 1492+288460267185*p^93*q^1494+25189563826*p^91*q^1496+1992625487*p^89*q^1498+ 131660904*p^87*q^1500+10646730*p^85*q^1502+351296*p^83*q^1504+3560*p^81*q^1506+ 2888*p^79*q^1508+7040*p^124*q^1462+853256*p^122*q^1464+5789274*p^120*q^1466+ 195007662*p^118*q^1468+2358576536*p^116*q^1470+31418784481*p^114*q^1472+ 344555760026*p^112*q^1474+3462722123075*p^110*q^1476+31509163239422*p^108*q^ 1478+219840585480477*p^106*q^1480+818773347959994*p^104*q^1482+1044682290777231 *p^102*q^1484+422080821355210*p^100*q^1486+76089683417334*p^98*q^1488+ 9411562116140*p^96*q^1490+983060963567*p^94*q^1492+91778722882*p^92*q^1494+ 7537927298*p^90*q^1496+582610658*p^88*q^1498+32827568*p^86*q^1500+3070888*p^84* q^1502+33296*p^82*q^1504+196*p^80*q^1506+944*p^78*q^1508+36*p^125*q^1460+81620* p^123*q^1462+2943686*p^121*q^1464+35283491*p^119*q^1466+646058206*p^117*q^1468+ 8450149463*p^115*q^1470+99276924880*p^113*q^1472+1045052827296*p^111*q^1474+ 10095966642208*p^109*q^1476+83766505329955*p^107*q^1478+458376549981970*p^105*q ^1480+1072233477064876*p^103*q^1482+772418083185854*p^101*q^1484+ 200702637295407*p^99*q^1486+28941323661416*p^97*q^1488+3259775453575*p^95*q^ 1490+322089187030*p^93*q^1492+28415902964*p^91*q^1494+2222584936*p^89*q^1496+ 154002022*p^87*q^1498+11019380*p^85*q^1500+456620*p^83*q^1502+1788*p^81*q^1504+ 2*p^128*q^1456+20*p^126*q^1458+2920*p^124*q^1460+676268*p^122*q^1462+5970224*p^ 120*q^1464+164056784*p^118*q^1466+2082128406*p^116*q^1468+28010261862*p^114*q^ 1470+307805790445*p^112*q^1472+3117821771502*p^110*q^1474+28491082496314*p^108* q^1476+203596044627152*p^106*q^1478+786149768761087*p^104*q^1480+ 1067624630755094*p^102*q^1482+450319655340752*p^100*q^1484+83746790806740*p^98* q^1486+10425401510391*p^96*q^1488+1097109106024*p^94*q^1490+102756377828*p^92*q ^1492+8478171252*p^90*q^1494+661970783*p^88*q^1496+36858262*p^86*q^1498+3708682 *p^84*q^1500+48332*p^82*q^1502+436*p^80*q^1504+1148*p^78*q^1506+50912*p^123*q^ 1460+2925866*p^121*q^1462+26536422*p^119*q^1464+589318900*p^117*q^1466+ 7401266082*p^115*q^1468+88687975069*p^113*q^1470+936415094958*p^111*q^1472+ 9116876332578*p^109*q^1474+76279646603098*p^107*q^1476+431809749333354*p^105*q^ 1478+1056892894717714*p^103*q^1480+809705962558050*p^101*q^1482+217442751540510 *p^99*q^1484+32034920985148*p^97*q^1486+3618688990112*p^95*q^1488+359964091054* p^93*q^1490+31852556936*p^91*q^1492+2487036604*p^89*q^1494+178707750*p^87*q^ 1496+10588252*p^85*q^1498+670288*p^83*q^1500+4276*p^81*q^1502+8*p^79*q^1504+64* p^77*q^1506+8*p^128*q^1454+1172*p^124*q^1458+534160*p^122*q^1460+6786384*p^120* q^1462+138352062*p^118*q^1464+1874183596*p^116*q^1466+24917686316*p^114*q^1468+ 275943117924*p^112*q^1470+2798989980141*p^110*q^1472+25854246864304*p^108*q^ 1474+187439917007527*p^106*q^1476+757163877223206*p^104*q^1478+1081697159916355 *p^102*q^1480+482040144918152*p^100*q^1482+91694831747854*p^98*q^1484+ 11581775052458*p^96*q^1486+1221818758201*p^94*q^1488+115196081194*p^92*q^1490+ 9584205675*p^90*q^1492+748434728*p^88*q^1494+42663926*p^86*q^1496+4338218*p^84* q^1498+83694*p^82*q^1500+88*p^80*q^1502+28*p^127*q^1454+316*p^125*q^1456+34480* p^123*q^1458+2605018*p^121*q^1460+21453014*p^119*q^1462+530614054*p^117*q^1464+ 6483357354*p^115*q^1466+79197506284*p^113*q^1468+841048536266*p^111*q^1470+ 8204796934874*p^109*q^1472+69703272198732*p^107*q^1474+403896503605842*p^105*q^ 1476+1044814517653120*p^103*q^1478+842027537477656*p^101*q^1480+236438086347308 *p^99*q^1482+35311757139340*p^97*q^1484+4030923151622*p^95*q^1486+401546044564* p^93*q^1488+35813951988*p^91*q^1490+2786343678*p^89*q^1492+206433579*p^87*q^ 1494+10748608*p^85*q^1496+971752*p^83*q^1498+4300*p^81*q^1500+24*p^79*q^1502+ 274*p^77*q^1504+176*p^124*q^1456+319044*p^122*q^1458+7675540*p^120*q^1460+ 113757042*p^118*q^1462+1687829611*p^116*q^1464+22149235152*p^114*q^1466+ 246500455559*p^112*q^1468+2519134003494*p^110*q^1470+23352498869619*p^108*q^ 1472+173144316640112*p^106*q^1474+723398473712809*p^104*q^1476+1099272961229046 *p^102*q^1478+512439998180803*p^100*q^1480+100755069849630*p^98*q^1482+ 12822893456392*p^96*q^1484+1363053337450*p^94*q^1486+128884205172*p^92*q^1488+ 10820728356*p^90*q^1490+833230910*p^88*q^1492+50893746*p^86*q^1494+4297722*p^84 *q^1496+106348*p^82*q^1498+452*p^80*q^1500+136*p^127*q^1452+32*p^125*q^1454+ 17728*p^123*q^1456+2424980*p^121*q^1458+19131012*p^119*q^1460+465218010*p^117*q ^1462+5708910266*p^115*q^1464+70733995133*p^113*q^1466+753248672828*p^111*q^ 1468+7404022409575*p^109*q^1470+63353037517928*p^107*q^1472+379059235254870*p^ 105*q^1474+1024089674062712*p^103*q^1476+878383615558974*p^101*q^1478+ 255560304760302*p^99*q^1480+39052465001796*p^97*q^1482+4474035450434*p^95*q^ 1484+449068890777*p^93*q^1486+40180388064*p^91*q^1488+3137168083*p^89*q^1490+ 242129972*p^87*q^1492+11172910*p^85*q^1494+1373906*p^83*q^1496+11820*p^81*q^ 1498+158*p^126*q^1452+2156*p^124*q^1454+250130*p^122*q^1456+7592954*p^120*q^ 1458+90346432*p^118*q^1460+1541316330*p^116*q^1462+19573138613*p^114*q^1464+ 220850708318*p^112*q^1466+2260408205529*p^110*q^1468+21162667601768*p^108*q^ 1470+158966511630612*p^106*q^1472+693509120155684*p^104*q^1474+1107577812528162 *p^102*q^1476+546431707821650*p^100*q^1478+110137384280241*p^98*q^1480+ 14234091829340*p^96*q^1482+1516278705951*p^94*q^1484+144190390506*p^92*q^1486+ 12169718784*p^90*q^1488+925537986*p^88*q^1490+58237166*p^86*q^1492+4031332*p^84 *q^1494+174380*p^82*q^1496+296*p^80*q^1498+36*p^76*q^1502+8*p^127*q^1450+5388*p ^123*q^1454+1713780*p^121*q^1456+19289756*p^119*q^1458+405669562*p^117*q^1460+ 5039909681*p^115*q^1462+63181400448*p^113*q^1464+676081098867*p^111*q^1466+ 6660580277590*p^109*q^1468+57791959459144*p^107*q^1470+353228565082436*p^105*q^ 1472+1007036346993751*p^103*q^1474+908785284914498*p^101*q^1476+277113494503060 *p^99*q^1478+43012879859636*p^97*q^1480+4981549146789*p^95*q^1482+501158244304* p^93*q^1484+45189281222*p^91*q^1486+3559271202*p^89*q^1488+276609021*p^87*q^ 1490+13332886*p^85*q^1492+1662502*p^83*q^1494+15280*p^81*q^1496+28*p^79*q^1498+ 1008*p^126*q^1450+1036*p^124*q^1452+163580*p^122*q^1454+7909504*p^120*q^1456+ 74120506*p^118*q^1458+1394769562*p^116*q^1460+17333309790*p^114*q^1462+ 197251192655*p^112*q^1464+2033947166628*p^110*q^1466+19098456988203*p^108*q^ 1468+146442700594854*p^106*q^1470+659359925686809*p^104*q^1472+1119605585541818 *p^102*q^1474+578545833232352*p^100*q^1476+120823790065334*p^98*q^1478+ 15751446662465*p^96*q^1480+1691582330852*p^94*q^1482+161279588982*p^92*q^1484+ 13733299024*p^90*q^1486+1025863702*p^88*q^1488+71190972*p^86*q^1490+3586584*p^ 84*q^1492+296764*p^82*q^1494+912*p^80*q^1496+8*p^127*q^1448+466*p^125*q^1450+ 9112*p^123*q^1452+1340296*p^121*q^1454+19341216*p^119*q^1456+340847083*p^117*q^ 1458+4475302654*p^115*q^1460+56324772041*p^113*q^1462+605108023508*p^111*q^1464 +6003634172659*p^109*q^1466+52447474997710*p^107*q^1468+330252726385092*p^105*q ^1470+981676841931354*p^103*q^1472+943533177707513*p^101*q^1474+298633876934204 *p^99*q^1476+47513297106277*p^97*q^1478+5527032919724*p^95*q^1480+559714174415* p^93*q^1482+50561151238*p^91*q^1484+4010510233*p^89*q^1486+312115008*p^87*q^ 1488+14814720*p^85*q^1490+1675356*p^83*q^1492+19940*p^81*q^1494+16*p^79*q^1496+ 2*p^75*q^1500+340*p^126*q^1448+72*p^124*q^1450+76708*p^122*q^1452+6880454*p^120 *q^1454+62093345*p^118*q^1456+1254377182*p^116*q^1458+15284165912*p^114*q^1460+ 176626947526*p^112*q^1462+1823904304272*p^110*q^1464+17291088588342*p^108*q^ 1466+134154015117454*p^106*q^1468+629128721112656*p^104*q^1470+1121642347417470 *p^102*q^1472+614576455196008*p^100*q^1474+131808277312435*p^98*q^1476+ 17476233225084*p^96*q^1478+1881047346422*p^94*q^1480+180588354810*p^92*q^1482+ 15456337288*p^90*q^1484+1150753646*p^88*q^1486+83924082*p^86*q^1488+3457338*p^ 84*q^1490+484304*p^82*q^1492+2352*p^80*q^1494+4160*p^125*q^1448+11024*p^123*q^ 1450+1032200*p^121*q^1452+20464370*p^119*q^1454+288180088*p^117*q^1456+ 4034928961*p^115*q^1458+50253225942*p^113*q^1460+543249899948*p^111*q^1462+ 5399356762352*p^109*q^1464+47760416867196*p^107*q^1466+306728620895946*p^105*q^ 1468+959992668297819*p^103*q^1470+971126989684702*p^101*q^1472+322962937164381* p^99*q^1474+52270676266178*p^97*q^1476+6152214780233*p^95*q^1478+624603221072*p ^93*q^1480+56821807632*p^91*q^1482+4563049226*p^89*q^1484+347657732*p^87*q^1486 +18604420*p^85*q^1488+1657526*p^83*q^1490+39812*p^81*q^1492+20*p^79*q^1494+144* p^126*q^1446+878*p^124*q^1448+44436*p^122*q^1450+5696166*p^120*q^1452+56596240* p^118*q^1454+1106380251*p^116*q^1456+13464317412*p^114*q^1458+157623408277*p^ 112*q^1460+1639603090106*p^110*q^1462+15585662943820*p^108*q^1464+ 123264982210824*p^106*q^1466+595559505420706*p^104*q^1468+1127481790038082*p^ 102*q^1470+647916613942985*p^100*q^1472+144354052461744*p^98*q^1474+ 19321356244613*p^96*q^1476+2097497113620*p^94*q^1478+201770161328*p^92*q^1480+ 17378693760*p^90*q^1482+1281363696*p^88*q^1484+98866624*p^86*q^1486+3523484*p^ 84*q^1488+547990*p^82*q^1490+1248*p^80*q^1492+3750*p^125*q^1446+2392*p^123*q^ 1448+644964*p^121*q^1450+20481466*p^119*q^1452+234248742*p^117*q^1454+ 3627491658*p^115*q^1456+44727354130*p^113*q^1458+485966329998*p^111*q^1460+ 4865104286226*p^109*q^1462+43284781744760*p^107*q^1464+285776475182560*p^105*q^ 1466+931055657602816*p^103*q^1468+1002962621104249*p^101*q^1470+346932828080718 *p^99*q^1472+57681645565006*p^97*q^1474+6821929014072*p^95*q^1476+697088223923* p^93*q^1478+63596615572*p^91*q^1480+5153570458*p^89*q^1482+385402110*p^87*q^ 1484+22571428*p^85*q^1486+1271134*p^83*q^1488+98340*p^81*q^1490+264*p^79*q^1492 +32*p^126*q^1444+10232*p^124*q^1446+65528*p^122*q^1448+4835198*p^120*q^1450+ 53291340*p^118*q^1452+975130482*p^116*q^1454+11920119941*p^114*q^1456+ 141154406560*p^112*q^1458+1470095721124*p^110*q^1460+14099180827674*p^108*q^ 1462+112656377521338*p^106*q^1464+565594443252582*p^104*q^1466+1123437374936384 *p^102*q^1468+685329190200466*p^100*q^1470+157159121580723*p^98*q^1472+ 21430318048654*p^96*q^1474+2332507182020*p^94*q^1476+226238283992*p^92*q^1478+ 19534990136*p^90*q^1480+1461548176*p^88*q^1482+114849710*p^86*q^1484+4204398*p^ 84*q^1486+702288*p^82*q^1488+2900*p^80*q^1490+1536*p^125*q^1444+2802*p^123*q^ 1446+350854*p^121*q^1448+18895872*p^119*q^1450+200049864*p^117*q^1452+ 3267479346*p^115*q^1454+39720450906*p^113*q^1456+435815738512*p^111*q^1458+ 4370870595170*p^109*q^1460+39360095542084*p^107*q^1462+264532121548004*p^105*q^ 1464+905623530144030*p^103*q^1466+1027133719649850*p^101*q^1468+373998654909264 *p^99*q^1470+63367729485624*p^97*q^1472+7588864543769*p^95*q^1474+776889382256* p^93*q^1476+71248920384*p^91*q^1478+5830768138*p^89*q^1480+418313735*p^87*q^ 1482+27218190*p^85*q^1484+966508*p^83*q^1486+124782*p^81*q^1488+28*p^79*q^1490+ 19312*p^124*q^1444+30844*p^122*q^1446+3623950*p^120*q^1448+52882858*p^118*q^ 1450+830898241*p^116*q^1452+10596198722*p^114*q^1454+126014923087*p^112*q^1456+ 1321237463278*p^110*q^1458+12700428839631*p^108*q^1460+103307972906562*p^106*q^ 1462+533078339775261*p^104*q^1464+1122805284249168*p^102*q^1466+719425133278878 *p^100*q^1468+171734381123316*p^98*q^1470+23673141876046*p^96*q^1472+ 2600752887358*p^94*q^1474+252686408443*p^92*q^1476+21999664226*p^90*q^1478+ 1654761204*p^88*q^1480+132378950*p^86*q^1482+5493076*p^84*q^1484+655104*p^82*q^ 1486+12960*p^80*q^1488+12*p^78*q^1490+868*p^125*q^1442+15604*p^123*q^1444+ 316850*p^121*q^1446+17568618*p^119*q^1448+171897275*p^117*q^1450+2933719316*p^ 115*q^1452+35232480745*p^113*q^1454+389671910094*p^111*q^1456+3936443073213*p^ 109*q^1458+35617568813618*p^107*q^1460+245692054289349*p^105*q^1462+ 873660331863200*p^103*q^1464+1055150279738525*p^101*q^1466+400539273814530*p^99 *q^1468+69845350063615*p^97*q^1470+8413504474916*p^95*q^1472+867262691526*p^93* q^1474+79875772586*p^91*q^1476+6570464002*p^89*q^1478+464252698*p^87*q^1480+ 33262144*p^85*q^1482+843840*p^83*q^1484+196016*p^81*q^1486+76*p^79*q^1488+8*p^ 126*q^1440+11844*p^124*q^1442+21760*p^122*q^1444+2432028*p^120*q^1446+51071994* p^118*q^1448+708072536*p^116*q^1450+9442038722*p^114*q^1452+112696069880*p^112* q^1454+1184076421669*p^110*q^1456+11475778034754*p^108*q^1458+94209873211319*p^ 106*q^1460+504192549367748*p^104*q^1462+1112512390404662*p^102*q^1464+ 757535375391744*p^100*q^1466+186574008767002*p^98*q^1468+26230071800860*p^96*q^ 1470+2889117333537*p^94*q^1472+282703258634*p^92*q^1474+24610192823*p^90*q^1476 +1885663350*p^88*q^1478+144988359*p^86*q^1480+6460304*p^84*q^1482+443500*p^82*q ^1484+20828*p^80*q^1486+48*p^125*q^1440+54516*p^123*q^1442+231296*p^121*q^1444+ 14847482*p^119*q^1446+153867766*p^117*q^1448+2612858484*p^115*q^1450+ 31229170874*p^113*q^1452+349365859138*p^111*q^1454+3535124422296*p^109*q^1456+ 32348710035882*p^107*q^1458+226726526423166*p^105*q^1460+845572717995965*p^103* q^1462+1074635055401510*p^101*q^1464+430291023212183*p^99*q^1466+76634848694814 *p^97*q^1468+9355546595142*p^95*q^1470+966825462612*p^93*q^1472+89704042801*p^ 91*q^1474+7439381138*p^89*q^1476+519407597*p^87*q^1478+41009736*p^85*q^1480+ 1184672*p^83*q^1482+272440*p^81*q^1484+948*p^79*q^1486+8990*p^124*q^1440+23316* p^122*q^1442+1691672*p^120*q^1444+51182702*p^118*q^1446+607295613*p^116*q^1448+ 8476501772*p^114*q^1450+100589659288*p^112*q^1452+1063787447362*p^110*q^1454+ 10332250778790*p^108*q^1456+86201346320100*p^106*q^1458+473181162886087*p^104*q ^1460+1105902745982204*p^102*q^1462+791510294225820*p^100*q^1464+ 203422979143830*p^98*q^1466+28957363290418*p^96*q^1468+3220664358198*p^94*q^ 1470+315559392741*p^92*q^1472+27665543008*p^90*q^1474+2143368383*p^88*q^1476+ 157443654*p^86*q^1478+8215728*p^84*q^1480+237608*p^82*q^1482+31268*p^80*q^1484+ 184*p^125*q^1438+57214*p^123*q^1440+155338*p^121*q^1442+11913348*p^119*q^1444+ 138730036*p^117*q^1446+2280520664*p^115*q^1448+27660576511*p^113*q^1450+ 312006204170*p^111*q^1452+3180750705903*p^109*q^1454+29237085962188*p^107*q^ 1456+209919783351053*p^105*q^1458+811547068013312*p^103*q^1460+1098282599008476 *p^101*q^1462+459150605092616*p^99*q^1464+84340544035961*p^97*q^1466+ 10365875893606*p^95*q^1468+1078413059932*p^93*q^1470+100438744564*p^91*q^1472+ 8349090146*p^89*q^1474+582539942*p^87*q^1476+48621195*p^85*q^1478+1354278*p^83* q^1480+236514*p^81*q^1482+2708*p^79*q^1484+2236*p^124*q^1438+91674*p^122*q^1440 +1316400*p^120*q^1442+47303096*p^118*q^1444+519200608*p^116*q^1446+7607959735*p ^114*q^1448+89756715250*p^112*q^1450+953152494344*p^110*q^1452+9329286733366*p^ 108*q^1454+78484207682406*p^106*q^1456+445681359216356*p^104*q^1458+ 1089601305302871*p^102*q^1460+829733416185578*p^100*q^1462+220427162620963*p^98 *q^1464+32058192863826*p^96*q^1466+3577353547844*p^94*q^1468+352929921580*p^92* q^1470+31002256344*p^90*q^1472+2441425400*p^88*q^1474+171248265*p^86*q^1476+ 10301656*p^84*q^1478+219560*p^82*q^1480+72684*p^80*q^1482+28*p^78*q^1484+24*p^ 125*q^1436+52914*p^123*q^1438+113484*p^121*q^1440+8794896*p^119*q^1442+ 134950800*p^117*q^1444+2006254154*p^115*q^1446+24599691212*p^113*q^1448+ 279925465046*p^111*q^1450+2855834841688*p^109*q^1452+26517514287690*p^107*q^ 1454+193192292356394*p^105*q^1456+781406077356617*p^103*q^1458+1112320744594578 *p^101*q^1460+491619731711750*p^99*q^1462+92392315792862*p^97*q^1464+ 11522440563395*p^95*q^1466+1202004901806*p^93*q^1468+112798462361*p^91*q^1470+ 9425597606*p^89*q^1472+668687966*p^87*q^1474+55000956*p^85*q^1476+1810584*p^83* q^1478+145900*p^81*q^1480+2384*p^79*q^1482+1974*p^124*q^1436+164420*p^122*q^ 1438+925120*p^120*q^1440+42772256*p^118*q^1442+446756292*p^116*q^1444+ 6787215194*p^114*q^1446+79847960750*p^112*q^1448+855137985236*p^110*q^1450+ 8391141729989*p^108*q^1452+71664199978796*p^106*q^1454+416717974931415*p^104*q^ 1456+1077037983567464*p^102*q^1458+862760469026005*p^100*q^1460+239782707605378 *p^98*q^1462+35352036885162*p^96*q^1464+3985234923616*p^94*q^1466+393610596244* p^92*q^1468+34833450226*p^90*q^1470+2756811514*p^88*q^1472+183124188*p^86*q^ 1474+13633368*p^84*q^1476+249784*p^82*q^1478+87668*p^80*q^1480+228*p^78*q^1482+ 27992*p^123*q^1436+128496*p^121*q^1438+6614294*p^119*q^1440+129034910*p^117*q^ 1442+1733017076*p^115*q^1444+21926216731*p^113*q^1446+250027955202*p^111*q^1448 +2569663628057*p^109*q^1450+23944168387572*p^107*q^1452+178363091627919*p^105*q ^1454+746463520568512*p^103*q^1456+1130471858391310*p^101*q^1458+ 522531691164534*p^99*q^1460+101542609345219*p^97*q^1462+12756594353660*p^95*q^ 1464+1340710078166*p^93*q^1466+126143281780*p^91*q^1468+10558755154*p^89*q^1470 +764125820*p^87*q^1472+60935113*p^85*q^1474+2136176*p^83*q^1476+54174*p^81*q^ 1478+11492*p^79*q^1480+786*p^124*q^1434+197096*p^122*q^1436+740562*p^120*q^1438 +36149806*p^118*q^1440+394425050*p^116*q^1442+6051833026*p^114*q^1444+ 71109052414*p^112*q^1446+765940847181*p^110*q^1448+7570739149548*p^108*q^1450+ 65127862654062*p^106*q^1452+390909749745952*p^104*q^1454+1055523935020282*p^102 *q^1456+899978544009382*p^100*q^1458+259158146478861*p^98*q^1460+39112999733892 *p^96*q^1462+4426446983824*p^94*q^1464+440255028622*p^92*q^1466+39194029804*p^ 90*q^1468+3139626140*p^88*q^1470+204374998*p^86*q^1472+16989904*p^84*q^1474+ 351122*p^82*q^1476+85296*p^80*q^1478+56*p^78*q^1480+15354*p^123*q^1434+306208*p ^121*q^1436+4889214*p^119*q^1438+123015618*p^117*q^1440+1505518648*p^115*q^1442 +19569348374*p^113*q^1444+224056945657*p^111*q^1446+2304998276718*p^109*q^1448+ 21695721531576*p^107*q^1450+163703503875114*p^105*q^1452+715204358356042*p^103* q^1454+1138876709617590*p^101*q^1456+557324245637718*p^99*q^1458+ 111021620387772*p^97*q^1460+14171106337872*p^95*q^1462+1492437636900*p^93*q^ 1464+141315365439*p^91*q^1466+11823902980*p^89*q^1468+872760032*p^87*q^1470+ 63817362*p^85*q^1472+2932244*p^83*q^1474+40726*p^81*q^1476+19884*p^79*q^1478+8* p^77*q^1480+94*p^124*q^1432+169132*p^122*q^1434+449518*p^120*q^1436+28744564*p^ 118*q^1438+360413913*p^116*q^1440+5357439386*p^114*q^1442+63208080916*p^112*q^ 1444+687038573476*p^110*q^1446+6806618873523*p^108*q^1448+59375365323866*p^106* q^1450+364144519018694*p^104*q^1452+1037501867524460*p^102*q^1454+ 931286275636311*p^100*q^1456+281105727727430*p^98*q^1458+43088756094495*p^96*q^ 1460+4930529650082*p^94*q^1462+491257311531*p^92*q^1464+44126974580*p^90*q^1466 +3551625996*p^88*q^1468+228987992*p^86*q^1470+20559226*p^84*q^1472+428464*p^82* q^1474+36048*p^80*q^1476+924*p^78*q^1478+16*p^125*q^1430+11044*p^123*q^1432+ 472964*p^121*q^1434+3952990*p^119*q^1436+114998874*p^117*q^1438+1293162812*p^ 115*q^1440+17510473910*p^113*q^1442+200005579640*p^111*q^1444+2073221854937*p^ 109*q^1446+19567161904540*p^107*q^1448+150766689816868*p^105*q^1450+ 679897273459504*p^103*q^1452+1150942980006064*p^101*q^1454+590157538196486*p^99 *q^1456+121815857150391*p^97*q^1458+15680202965518*p^95*q^1460+1664646320285*p^ 93*q^1462+157861399478*p^91*q^1464+13289592071*p^89*q^1466+997253830*p^87*q^ 1468+68538096*p^85*q^1470+4126182*p^83*q^1472+51208*p^81*q^1474+30048*p^79*q^ 1476+68*p^124*q^1430+100748*p^122*q^1432+579252*p^120*q^1434+22463114*p^118*q^ 1436+331665180*p^116*q^1438+4728531843*p^114*q^1440+56257725146*p^112*q^1442+ 614943207483*p^110*q^1444+6135650167746*p^108*q^1446+53866834999838*p^106*q^ 1448+340402508474964*p^104*q^1450+1011243501524621*p^102*q^1452+966569493954398 *p^100*q^1454+302989714177936*p^98*q^1456+47611826067444*p^96*q^1458+ 5472211611118*p^94*q^1460+549012643348*p^92*q^1462+49530776589*p^90*q^1464+ 3978695134*p^88*q^1466+261318500*p^86*q^1468+22546384*p^84*q^1470+474776*p^82*q ^1472+7846*p^80*q^1474+2780*p^78*q^1476+2628*p^123*q^1430+590840*p^121*q^1432+ 2669324*p^119*q^1434+100891120*p^117*q^1436+1132887475*p^115*q^1438+15610185124 *p^113*q^1440+178983819815*p^111*q^1442+1859317706900*p^109*q^1444+ 17712244279012*p^107*q^1446+138036467425660*p^105*q^1448+648518940896126*p^103* q^1450+1152904662100388*p^101*q^1452+626840062352451*p^99*q^1454+ 132960762264752*p^97*q^1456+17408141918921*p^95*q^1458+1852983746320*p^93*q^ 1460+176862037028*p^91*q^1462+14969300850*p^89*q^1464+1155200785*p^87*q^1466+ 71846122*p^85*q^1468+5700658*p^83*q^1470+88504*p^81*q^1472+24092*p^79*q^1474+24 *p^77*q^1476+260*p^124*q^1428+85396*p^122*q^1430+846454*p^120*q^1432+18154072*p ^118*q^1434+317017223*p^116*q^1436+4147922086*p^114*q^1438+50188750971*p^112*q^ 1440+551685892236*p^110*q^1442+5514209667146*p^108*q^1444+49030342188726*p^106* q^1446+315939083778454*p^104*q^1448+988777924441074*p^102*q^1450+ 994967495696998*p^100*q^1452+327696118428476*p^98*q^1454+52400892486159*p^96*q^ 1456+6092964431026*p^94*q^1458+612330867448*p^92*q^1460+55682279642*p^90*q^1462 +4470881378*p^88*q^1464+297704142*p^86*q^1466+25363134*p^84*q^1468+753592*p^82* q^1470+4506*p^80*q^1472+5604*p^78*q^1474+1592*p^123*q^1428+474222*p^121*q^1430+ 2104150*p^119*q^1432+85406422*p^117*q^1434+988143340*p^115*q^1436+13931049108*p ^113*q^1438+159328310684*p^111*q^1440+1670267109361*p^109*q^1442+15960220631908 *p^107*q^1444+126796255185725*p^105*q^1446+613669338998612*p^103*q^1448+ 1158901729506220*p^101*q^1450+660927466501452*p^99*q^1452+145599772025317*p^97* q^1454+19249521995024*p^95*q^1456+2066011795468*p^93*q^1458+197469632882*p^91*q ^1460+16857590936*p^89*q^1462+1303971182*p^87*q^1464+77471495*p^85*q^1466+ 6804036*p^83*q^1468+67208*p^81*q^1470+4218*p^79*q^1472+232*p^77*q^1474+28*p^124 *q^1426+35116*p^122*q^1428+1307166*p^120*q^1430+13743946*p^118*q^1432+292916152 *p^116*q^1434+3626055661*p^114*q^1436+44745951956*p^112*q^1438+493830077621*p^ 110*q^1440+4968890269500*p^108*q^1442+44428709729875*p^106*q^1444+ 294323041835164*p^104*q^1446+958527243613810*p^102*q^1448+1027572884077588*p^ 100*q^1450+352058526651834*p^98*q^1452+57831330089186*p^96*q^1454+6759643669726 *p^94*q^1456+683817516710*p^92*q^1458+62370597150*p^90*q^1460+5003609558*p^88*q ^1462+350302686*p^86*q^1464+26364554*p^84*q^1466+1198124*p^82*q^1468+14680*p^80 *q^1470+9748*p^78*q^1472+1938*p^123*q^1426+430632*p^121*q^1428+2068778*p^119*q^ 1430+71668352*p^117*q^1432+897885173*p^115*q^1434+12407423886*p^113*q^1436+ 142510840293*p^111*q^1438+1497502568866*p^109*q^1440+14431804682060*p^107*q^ 1442+115848604634500*p^105*q^1444+582621068430421*p^103*q^1446+1154255847724388 *p^101*q^1448+699181814967791*p^99*q^1450+158583863707760*p^97*q^1452+ 21360947866731*p^95*q^1454+2299515106472*p^93*q^1456+221432933761*p^91*q^1458+ 19061654152*p^89*q^1460+1492014932*p^87*q^1462+85623050*p^85*q^1464+8413216*p^ 83*q^1466+101312*p^81*q^1468+196*p^79*q^1470+472*p^77*q^1472+20358*p^122*q^1426 +1465088*p^120*q^1428+10170290*p^118*q^1430+267314538*p^116*q^1432+3158448364*p ^114*q^1434+39890322253*p^112*q^1436+442517085436*p^110*q^1438+4461932324003*p^ 108*q^1440+40371720670918*p^106*q^1442+272334310117984*p^104*q^1444+ 932201982723800*p^102*q^1446+1052105600913537*p^100*q^1448+379667483792604*p^98 *q^1450+63556196247456*p^96*q^1452+7520145234922*p^94*q^1454+762325953805*p^92* q^1456+69879243854*p^90*q^1458+5601648895*p^88*q^1460+401882900*p^86*q^1462+ 26285676*p^84*q^1464+1633644*p^82*q^1466+11800*p^80*q^1468+3112*p^78*q^1470+8*p ^76*q^1472+1056*p^123*q^1424+272224*p^121*q^1426+2375206*p^119*q^1428+58625528* p^117*q^1430+814545078*p^115*q^1432+10987927013*p^113*q^1434+126930860256*p^111 *q^1436+1345078404515*p^109*q^1438+12995052458990*p^107*q^1440+106177434997498* p^105*q^1442+549043532140572*p^103*q^1444+1153649853955660*p^101*q^1446+ 733851506786232*p^99*q^1448+173321424980508*p^97*q^1450+23597821337724*p^95*q^ 1452+2563886898829*p^93*q^1454+247059566228*p^91*q^1456+21493785011*p^89*q^1458 +1673321966*p^87*q^1460+98246894*p^85*q^1462+9855934*p^83*q^1464+181944*p^81*q^ 1466+1428*p^79*q^1468+2168*p^77*q^1470+13226*p^122*q^1424+1504856*p^120*q^1426+ 8606128*p^118*q^1428+237411010*p^116*q^1430+2770255339*p^114*q^1432+35704032718 *p^112*q^1434+395741285742*p^110*q^1436+4018792881124*p^108*q^1438+ 36534354156270*p^106*q^1440+252836031682018*p^104*q^1442+899175520871438*p^102* q^1444+1080740758020518*p^100*q^1446+406521416272044*p^98*q^1448+70078003810878 *p^96*q^1450+8340988050109*p^94*q^1452+851353843892*p^92*q^1454+78343199595*p^ 90*q^1456+6322456862*p^88*q^1458+470848949*p^86*q^1460+26927554*p^84*q^1462+ 2122910*p^82*q^1464+9664*p^80*q^1466+4*p^78*q^1468+12*p^76*q^1470+4*p^127*q^ 1418+76*p^123*q^1422+165384*p^121*q^1424+3196590*p^119*q^1426+45344822*p^117*q^ 1428+750498710*p^115*q^1430+9712898166*p^113*q^1432+113322491512*p^111*q^1434+ 1205343253846*p^109*q^1436+11740528609179*p^107*q^1438+96796163502324*p^105*q^ 1440+518987694524231*p^103*q^1442+1142877461425496*p^101*q^1444+772832060428204 *p^99*q^1446+188333748133622*p^97*q^1448+26164223877201*p^95*q^1450+ 2850426249930*p^93*q^1452+276642913139*p^91*q^1454+24163675254*p^89*q^1456+ 1871809694*p^87*q^1458+113659530*p^85*q^1460+10167710*p^83*q^1462+306478*p^81*q ^1464+2190*p^79*q^1466+1504*p^77*q^1468+11652*p^122*q^1422+1305058*p^120*q^1424 +6834836*p^118*q^1426+207792966*p^116*q^1428+2441781006*p^114*q^1430+ 31794258346*p^112*q^1432+354481411666*p^110*q^1434+3606696421359*p^108*q^1436+ 33161098257218*p^106*q^1438+233236929705134*p^104*q^1440+869857485259434*p^102* q^1442+1100804760277893*p^100*q^1444+436845680010442*p^98*q^1446+76897213462834 *p^96*q^1448+9278054173460*p^94*q^1450+949217378757*p^92*q^1452+87797231154*p^ 90*q^1454+7152378718*p^88*q^1456+542920886*p^86*q^1458+27743256*p^84*q^1460+ 2997990*p^82*q^1462+19588*p^80*q^1464+52*p^78*q^1466+232*p^76*q^1468+60*p^123*q ^1420+105612*p^121*q^1422+3751512*p^119*q^1424+37443448*p^117*q^1426+688141170* p^115*q^1428+8567894184*p^113*q^1430+101123914702*p^111*q^1432+1082271499171*p^ 109*q^1434+10564645698158*p^107*q^1436+88545551138915*p^105*q^1438+ 486993033489066*p^103*q^1440+1135745103499585*p^101*q^1442+807575724128544*p^99 *q^1444+205370602218074*p^97*q^1446+28884432012686*p^95*q^1448+3177406162597*p^ 93*q^1450+308667713608*p^91*q^1452+27222596281*p^89*q^1454+2084649424*p^87*q^ 1456+134598843*p^85*q^1458+10410284*p^83*q^1460+398630*p^81*q^1462+656*p^79*q^ 1464+64*p^126*q^1416+4*p^124*q^1418+3002*p^122*q^1420+921472*p^120*q^1422+ 7089424*p^118*q^1424+172606044*p^116*q^1426+2169872664*p^114*q^1428+28349645814 *p^112*q^1430+316441297463*p^110*q^1432+3245944538158*p^108*q^1434+ 29964200582320*p^106*q^1436+215911777850232*p^104*q^1438+834755286109704*p^102* q^1440+1124631559488994*p^100*q^1442+466196074134843*p^98*q^1444+84652290628602 *p^96*q^1446+10281866563389*p^94*q^1448+1059557703230*p^92*q^1450+98235388976*p ^90*q^1452+8069650434*p^88*q^1454+617987866*p^86*q^1456+30345242*p^84*q^1458+ 3461212*p^82*q^1460+41180*p^80*q^1462+276*p^78*q^1464+424*p^76*q^1466+76538*p^ 121*q^1420+4103426*p^119*q^1422+29362268*p^117*q^1424+627109800*p^115*q^1426+ 7543360650*p^113*q^1428+90413159484*p^111*q^1430+969865074992*p^109*q^1432+ 9538137337584*p^107*q^1434+80576720002724*p^105*q^1436+458563227046094*p^103*q^ 1438+1118809246773150*p^101*q^1440+846386854090863*p^99*q^1442+222632121549098* p^97*q^1444+31995348917829*p^95*q^1446+3531628818306*p^93*q^1448+345605735221*p ^91*q^1450+30568403072*p^89*q^1452+2346865626*p^87*q^1454+161519092*p^85*q^1456 +9670261*p^83*q^1458+665798*p^81*q^1460+1468*p^79*q^1462+8*p^75*q^1466+8*p^126* q^1414+1540*p^122*q^1418+692416*p^120*q^1420+7972980*p^118*q^1422+145158024*p^ 116*q^1424+1960944174*p^114*q^1426+25219622898*p^112*q^1428+283319690130*p^110* q^1430+2912224538958*p^108*q^1432+27165579899656*p^106*q^1434+198574382178074*p ^104*q^1436+803581922918730*p^102*q^1438+1139094000247326*p^100*q^1440+ 499173331109074*p^98*q^1442+92770663554932*p^96*q^1444+11432777219716*p^94*q^ 1446+1181109096605*p^92*q^1448+110112130632*p^90*q^1450+9163634942*p^88*q^1452+ 697713990*p^86*q^1454+34625942*p^84*q^1456+4099698*p^82*q^1458+62824*p^80*q^ 1460+32*p^78*q^1462+424*p^125*q^1414+68*p^123*q^1416+43520*p^121*q^1418+3556564 *p^119*q^1420+24118264*p^117*q^1422+556822828*p^115*q^1424+6615100442*p^113*q^ 1426+80575226436*p^111*q^1428+869713918264*p^109*q^1430+8576116166580*p^107*q^ 1432+73552927981501*p^105*q^1434+428572016505344*p^103*q^1436+1105925240392851* p^101*q^1438+880155484061186*p^99*q^1440+242144234255974*p^97*q^1442+ 35288739242758*p^95*q^1444+3933757069174*p^93*q^1446+385316772572*p^91*q^1448+ 34298065589*p^89*q^1450+2614874710*p^87*q^1452+187719952*p^85*q^1454+9132992*p^ 83*q^1456+867993*p^81*q^1458+3410*p^79*q^1460+16*p^77*q^1462+64*p^75*q^1464+192 *p^122*q^1416+434564*p^120*q^1418+9433784*p^118*q^1420+119138238*p^116*q^1422+ 1772603295*p^114*q^1424+22454861440*p^112*q^1426+252994081417*p^110*q^1428+ 2620422822520*p^108*q^1430+24527477473887*p^106*q^1432+183318302025320*p^104*q^ 1434+767322983930378*p^102*q^1436+1157577970337642*p^100*q^1438+530596271790595 *p^98*q^1440+101962420819834*p^96*q^1442+12664033465690*p^94*q^1444+ 1318137990730*p^92*q^1446+123220653645*p^90*q^1448+10365965560*p^88*q^1450+ 781350620*p^86*q^1452+42936430*p^84*q^1454+4021368*p^82*q^1456+102548*p^80*q^ 1458+58*p^78*q^1460+232*p^125*q^1412+12*p^123*q^1414+20014*p^121*q^1416+3142418 *p^119*q^1418+21832932*p^117*q^1420+488433542*p^115*q^1422+5868730264*p^113*q^ 1424+72025412268*p^111*q^1426+779037758958*p^109*q^1428+7735980627235*p^107*q^ 1430+66828041718962*p^105*q^1432+401921193658772*p^103*q^1434+1083295036177172* p^101*q^1436+918216638232288*p^99*q^1438+261794648329110*p^97*q^1440+ 39056439191060*p^95*q^1442+4372200951980*p^93*q^1444+431481644468*p^91*q^1446+ 38499456090*p^89*q^1448+2969630315*p^87*q^1450+223460908*p^85*q^1452+8823614*p^ 83*q^1454+1259756*p^81*q^1456+8692*p^79*q^1458+1504*p^124*q^1412+596*p^122*q^ 1414+337398*p^120*q^1416+9797480*p^118*q^1418+96908864*p^116*q^1420+1611361696* p^114*q^1422+19840079559*p^112*q^1424+226419251912*p^110*q^1426+2349323250675*p ^108*q^1428+22208070671098*p^106*q^1430+168181774488572*p^104*q^1432+ 735035217878560*p^102*q^1434+1165898784560518*p^100*q^1436+566068327866652*p^98 *q^1438+111524457883888*p^96*q^1440+14070286869936*p^94*q^1442+1467539238811*p^ 92*q^1444+137926413798*p^90*q^1446+11687309739*p^88*q^1448+864031356*p^86*q^ 1450+50049240*p^84*q^1452+3713588*p^82*q^1454+155134*p^80*q^1456+160*p^78*q^ 1458+4*p^74*q^1462+12*p^125*q^1410+7338*p^121*q^1414+2214924*p^119*q^1416+ 21672274*p^117*q^1418+419674056*p^115*q^1420+5187489663*p^113*q^1422+ 64221371016*p^111*q^1424+698171062273*p^109*q^1426+6952511942936*p^107*q^1428+ 60893718826830*p^105*q^1430+374338405309904*p^103*q^1432+1064814796342169*p^101 *q^1434+949935377360806*p^99*q^1436+284025707668901*p^97*q^1438+43027295389332* p^95*q^1440+4869388976029*p^93*q^1442+481426447356*p^91*q^1444+43201375093*p^89 *q^1446+3364858282*p^87*q^1448+255285938*p^85*q^1450+10327520*p^83*q^1452+ 1475838*p^81*q^1454+11328*p^79*q^1456+2168*p^124*q^1410+496*p^122*q^1412+185572 *p^120*q^1414+9928874*p^118*q^1416+81149146*p^116*q^1418+1454803356*p^114*q^ 1420+17625241212*p^112*q^1422+202178609935*p^110*q^1424+2113263980742*p^108*q^ 1426+20031088501586*p^106*q^1428+154835833093910*p^104*q^1430+698671227845803*p ^102*q^1432+1178159754067006*p^100*q^1434+599286174461445*p^98*q^1436+ 122394251324348*p^96*q^1438+15575727971222*p^94*q^1440+1637594318610*p^92*q^ 1442+154269259158*p^90*q^1444+13193348718*p^88*q^1446+959961334*p^86*q^1448+ 62932910*p^84*q^1450+3059036*p^82*q^1452+262550*p^80*q^1454+780*p^78*q^1456+8*p ^125*q^1408+3084*p^123*q^1410+4036*p^121*q^1412+1778788*p^119*q^1414+22820352*p ^117*q^1416+354406500*p^115*q^1418+4640971688*p^113*q^1420+57309694112*p^111*q^ 1422+624809685064*p^109*q^1424+6267495994366*p^107*q^1426+55233512787826*p^105* q^1428+349729969880560*p^103*q^1430+1037641582348052*p^101*q^1432+ 985980940387940*p^99*q^1434+306140431951974*p^97*q^1436+47575003411257*p^95*q^ 1438+5408101826694*p^93*q^1440+538366515336*p^91*q^1442+48414134290*p^89*q^1444 +3829441039*p^87*q^1446+290371554*p^85*q^1448+11809812*p^83*q^1450+1536982*p^81 *q^1452+20102*p^79*q^1454+4*p^77*q^1456+472*p^124*q^1408+56*p^122*q^1410+98652* p^120*q^1412+8603676*p^118*q^1414+68366024*p^116*q^1416+1303075478*p^114*q^1418 +15552962237*p^112*q^1420+180880076900*p^110*q^1422+1893879633542*p^108*q^1424+ 18121458140676*p^106*q^1426+141704683558341*p^104*q^1428+666097754843976*p^102* q^1430+1180202534581307*p^100*q^1432+636688294909520*p^98*q^1434+ 133608921523555*p^96*q^1436+17298256086810*p^94*q^1438+1822594639190*p^92*q^ 1440+172934020930*p^90*q^1442+14842010056*p^88*q^1444+1072454698*p^86*q^1446+ 75567962*p^84*q^1448+2625056*p^82*q^1450+407684*p^80*q^1452+1224*p^78*q^1454+ 9768*p^123*q^1408+6484*p^121*q^1410+1237620*p^119*q^1412+24181846*p^117*q^1414+ 301616266*p^115*q^1416+4162478745*p^113*q^1418+51036107204*p^111*q^1420+ 560052285931*p^109*q^1422+5629627438892*p^107*q^1424+50258988505202*p^105*q^ 1426+324560942746536*p^103*q^1428+1014248340858097*p^101*q^1430+ 1015033104088500*p^99*q^1432+331149027661525*p^97*q^1434+52353607164314*p^95*q^ 1436+6021490203899*p^93*q^1438+600472347696*p^91*q^1440+54252573068*p^89*q^1442 +4357520174*p^87*q^1444+322664068*p^85*q^1446+14966242*p^83*q^1448+1477106*p^81 *q^1450+33654*p^79*q^1452+24*p^77*q^1454+232*p^124*q^1406+3792*p^122*q^1408+ 39600*p^120*q^1410+7177694*p^118*q^1412+62665828*p^116*q^1414+1140687400*p^114* q^1416+13777672618*p^112*q^1418+161381897194*p^110*q^1420+1701608598098*p^108*q ^1422+16326186680715*p^106*q^1424+130155520309656*p^104*q^1426+630204735937863* p^102*q^1428+1185924604708216*p^100*q^1430+671331810962694*p^98*q^1432+ 146338028902384*p^96*q^1434+19131756862546*p^94*q^1436+2033555151130*p^92*q^ 1438+193230049880*p^90*q^1440+16708868802*p^88*q^1442+1199933034*p^86*q^1444+ 89758098*p^84*q^1446+2623366*p^82*q^1448+466318*p^80*q^1450+1768*p^78*q^1452+ 5544*p^123*q^1406+1712*p^121*q^1408+773594*p^119*q^1410+24501568*p^117*q^1412+ 250445886*p^115*q^1414+3762953298*p^113*q^1416+45504500445*p^111*q^1418+ 501148055338*p^109*q^1420+5072910834505*p^107*q^1422+45524238739364*p^105*q^ 1424+302264167160949*p^103*q^1426+983070289909354*p^101*q^1428+1047961798111333 *p^99*q^1430+355885403079242*p^97*q^1432+57808807371328*p^95*q^1434+ 6684597207296*p^93*q^1436+670930710131*p^91*q^1438+60858489848*p^89*q^1440+ 4947811832*p^87*q^1442+357913466*p^85*q^1444+19395112*p^83*q^1446+1030776*p^81* q^1448+81564*p^79*q^1450+140*p^77*q^1452+28*p^124*q^1404+24188*p^122*q^1406+ 50090*p^120*q^1408+5950102*p^118*q^1410+59823862*p^116*q^1412+1002747466*p^114* q^1414+12207256776*p^112*q^1416+144360266408*p^110*q^1418+1524675876275*p^108*q ^1420+14757222970130*p^106*q^1422+118835712340364*p^104*q^1424+598190678530962* p^102*q^1426+1181134362100583*p^100*q^1428+710176447713940*p^98*q^1430+ 159446618920872*p^96*q^1432+21235580757468*p^94*q^1434+2263226681935*p^92*q^ 1436+216767223330*p^90*q^1438+18748602053*p^88*q^1440+1375594382*p^86*q^1442+ 105337700*p^84*q^1444+3021244*p^82*q^1446+616008*p^80*q^1448+2396*p^78*q^1450+ 2788*p^123*q^1404+4452*p^121*q^1406+411070*p^119*q^1408+22523470*p^117*q^1410+ 213828604*p^115*q^1412+3363653246*p^113*q^1414+40377744074*p^111*q^1416+ 448725525631*p^109*q^1418+4553288418254*p^107*q^1420+41354629396974*p^105*q^ 1422+279565210612294*p^103*q^1424+956033288225750*p^101*q^1426+1073116256271518 *p^99*q^1428+383713493862505*p^97*q^1430+63541151475440*p^95*q^1432+ 7437291648111*p^93*q^1434+747478998878*p^91*q^1436+68102262694*p^89*q^1438+ 5599833494*p^87*q^1440+383852766*p^85*q^1442+23435926*p^83*q^1444+726118*p^81*q ^1446+94568*p^79*q^1448+84*p^77*q^1450+29472*p^122*q^1404+24848*p^120*q^1406+ 4242650*p^118*q^1408+59849316*p^116*q^1410+859767552*p^114*q^1412+10878688950*p ^112*q^1414+128797880412*p^110*q^1416+1369476386058*p^108*q^1418+13288772877636 *p^106*q^1420+108911402502702*p^104*q^1422+563485642622512*p^102*q^1424+ 1180423244501060*p^100*q^1426+745367688513620*p^98*q^1428+174259658819324*p^96* q^1430+23469471484755*p^94*q^1432+2524212717832*p^92*q^1434+242197966485*p^90*q ^1436+21092066350*p^88*q^1438+1565281864*p^86*q^1440+121926232*p^84*q^1442+ 4277480*p^82*q^1444+519752*p^80*q^1446+10920*p^78*q^1448+8*p^76*q^1450+1020*p^ 123*q^1402+34880*p^121*q^1404+313256*p^119*q^1406+21128940*p^117*q^1408+ 187390596*p^115*q^1410+3021397928*p^113*q^1412+35945289087*p^111*q^1414+ 401482808580*p^109*q^1416+4100754502267*p^107*q^1418+37415018979052*p^105*q^ 1420+259486373683377*p^103*q^1422+921689661197342*p^101*q^1424+1102314860393068 *p^99*q^1426+410980672535156*p^97*q^1428+70078603465180*p^95*q^1430+ 8254942673218*p^93*q^1432+835548819491*p^91*q^1434+76479474318*p^89*q^1436+ 6346290202*p^87*q^1438+429896154*p^85*q^1440+29754380*p^83*q^1442+560010*p^81*q ^1444+169990*p^79*q^1446+80*p^77*q^1448+12*p^124*q^1400+19772*p^122*q^1402+ 19728*p^120*q^1404+2887750*p^118*q^1406+58199420*p^116*q^1408+737122302*p^114*q ^1410+9705072576*p^112*q^1412+115094110082*p^110*q^1414+1226221685352*p^108*q^ 1416+11997568633490*p^106*q^1418+99252542149679*p^104*q^1420+532510255141228*p^ 102*q^1422+1169038911818553*p^100*q^1424+785128310528220*p^98*q^1426+ 189404951926051*p^96*q^1428+26024559702268*p^94*q^1430+2807097503580*p^92*q^ 1432+270971737692*p^90*q^1434+23587143004*p^88*q^1436+1791077114*p^86*q^1438+ 131933990*p^84*q^1440+5126144*p^82*q^1442+345832*p^80*q^1444+14008*p^78*q^1446+ 52*p^123*q^1400+83168*p^121*q^1402+222420*p^119*q^1404+17266358*p^117*q^1406+ 167119510*p^115*q^1408+2669059198*p^113*q^1410+31823652166*p^111*q^1412+ 359284137452*p^109*q^1414+3678856334216*p^107*q^1416+33945313408491*p^105*q^ 1418+239318782494576*p^103*q^1420+891631481434005*p^101*q^1422+1122505489686328 *p^99*q^1424+441706664821755*p^97*q^1426+76908114401800*p^95*q^1428+ 9181379480055*p^93*q^1430+931133658294*p^91*q^1432+85803025408*p^89*q^1434+ 7162093222*p^87*q^1436+478465802*p^85*q^1438+36929546*p^83*q^1440+801588*p^81*q ^1442+204638*p^79*q^1444+806*p^77*q^1446+12260*p^122*q^1400+38980*p^120*q^1402+ 1882012*p^118*q^1404+58632844*p^116*q^1406+638139358*p^114*q^1408+8711072324*p^ 112*q^1410+102734948035*p^110*q^1412+1101392300540*p^108*q^1414+10797682993746* p^106*q^1416+90760392427394*p^104*q^1418+499646393817522*p^102*q^1420+ 1161648427460112*p^100*q^1422+820189519661118*p^98*q^1424+206575716182442*p^96* q^1426+28737494455530*p^94*q^1428+3130415917696*p^92*q^1430+302504286110*p^90*q ^1432+26515995026*p^88*q^1434+2049826437*p^86*q^1436+143102954*p^84*q^1438+ 6931176*p^82*q^1440+160652*p^80*q^1442+27560*p^78*q^1444+296*p^123*q^1398+84948 *p^121*q^1400+138994*p^119*q^1402+13857152*p^117*q^1404+153371084*p^115*q^1406+ 2342682744*p^113*q^1408+28312606145*p^111*q^1410+320972966754*p^109*q^1412+ 3310414771004*p^107*q^1414+30668966632346*p^105*q^1416+221435333729357*p^103*q^ 1418+855442046513692*p^101*q^1420+1146783213917964*p^99*q^1422+471347091501256* p^97*q^1424+84710289610341*p^95*q^1426+10182285865300*p^93*q^1428+1040093578697 *p^91*q^1430+96257595640*p^89*q^1432+8060679096*p^87*q^1434+543070618*p^85*q^ 1436+43831784*p^83*q^1438+971130*p^81*q^1440+173108*p^79*q^1442+1814*p^77*q^ 1444+2564*p^122*q^1398+137250*p^120*q^1400+1451728*p^118*q^1402+53890316*p^116* q^1404+550564990*p^114*q^1406+7799568504*p^112*q^1408+91623502216*p^110*q^1410+ 986152219596*p^108*q^1412+9744251344822*p^106*q^1414+82561499767390*p^104*q^ 1416+470213125680464*p^102*q^1418+1144303471192182*p^100*q^1420+859781128639258 *p^98*q^1422+223954387842438*p^96*q^1424+31843621545172*p^94*q^1426+ 3479670712226*p^92*q^1428+338396306452*p^90*q^1430+29709312017*p^88*q^1432+ 2347274262*p^86*q^1434+154693074*p^84*q^1436+9008840*p^82*q^1438+125976*p^80*q^ 1440+53732*p^78*q^1442+24*p^76*q^1444+20*p^123*q^1396+75548*p^121*q^1398+124344 *p^119*q^1400+9858828*p^117*q^1402+148547178*p^115*q^1404+2056078360*p^113*q^ 1406+25147516776*p^111*q^1408+287522080289*p^109*q^1410+2968602228232*p^107*q^ 1412+27794696992136*p^105*q^1414+203625745362622*p^103*q^1416+823238737004391*p ^101*q^1418+1161598040302774*p^99*q^1420+504737368495053*p^97*q^1422+ 92820505783166*p^95*q^1424+11322221802830*p^93*q^1426+1159112236900*p^91*q^1428 +107949483625*p^89*q^1430+9063795834*p^87*q^1432+622952666*p^85*q^1434+48851260 *p^83*q^1436+1345716*p^81*q^1438+99200*p^79*q^1440+2174*p^77*q^1442+3180*p^122* q^1396+220180*p^120*q^1398+919626*p^118*q^1400+48507356*p^116*q^1402+476874396* p^114*q^1404+6938424966*p^112*q^1406+81564066759*p^110*q^1408+884244409480*p^ 108*q^1410+8760359524621*p^106*q^1412+75362835358202*p^104*q^1414+ 439425157617395*p^102*q^1416+1130682376787988*p^100*q^1418+894078384691779*p^98 *q^1420+243620659091662*p^96*q^1422+35124731390659*p^94*q^1424+3878504174868*p^ 92*q^1426+377381420198*p^90*q^1428+33388076396*p^88*q^1430+2662652026*p^86*q^ 1432+165645192*p^84*q^1434+12024990*p^82*q^1436+162222*p^80*q^1438+58350*p^78*q ^1440+176*p^76*q^1442+33920*p^121*q^1396+181592*p^119*q^1398+7553722*p^117*q^ 1400+142892220*p^115*q^1402+1795332540*p^113*q^1404+22501795899*p^111*q^1406+ 256881531362*p^109*q^1408+2671433788895*p^107*q^1410+25088791395558*p^105*q^ 1412+187929645107491*p^103*q^1414+785922924682162*p^101*q^1416+1180039852320640 *p^99*q^1418+536634072944546*p^97*q^1420+102058485553069*p^95*q^1422+ 12547236158946*p^93*q^1424+1294588998509*p^91*q^1426+120914417172*p^89*q^1428+ 10187917015*p^87*q^1430+721815946*p^85*q^1432+54262514*p^83*q^1434+1790616*p^81 *q^1436+26616*p^79*q^1438+9068*p^77*q^1440+996*p^122*q^1394+273572*p^120*q^1396 +767566*p^118*q^1398+40188818*p^116*q^1400+425970012*p^114*q^1402+6184968286*p^ 112*q^1404+72654632214*p^110*q^1406+791614104639*p^108*q^1408+7899237701942*p^ 106*q^1410+68426441966284*p^104*q^1412+411995456715578*p^102*q^1414+ 1107505255993488*p^100*q^1416+932621457072554*p^98*q^1418+263477061017110*p^96* q^1420+38887669738210*p^94*q^1422+4311674727160*p^92*q^1424+422382996172*p^90*q ^1426+37581286540*p^88*q^1428+3032611222*p^86*q^1430+185240750*p^84*q^1432+ 14869814*p^82*q^1434+217108*p^80*q^1436+55716*p^78*q^1438+48*p^76*q^1440+22760* p^121*q^1394+376968*p^119*q^1396+5311482*p^117*q^1398+135370572*p^115*q^1400+ 1557071358*p^113*q^1402+20009088858*p^111*q^1404+229785939636*p^109*q^1406+ 2393830128526*p^107*q^1408+22709596766719*p^105*q^1410+172340850242198*p^103*q^ 1412+752828219257355*p^101*q^1414+1188594475711948*p^99*q^1416+572408784661923* p^97*q^1418+111645804102858*p^95*q^1420+13939324831593*p^93*q^1422+ 1440691319480*p^91*q^1424+135186928216*p^89*q^1426+11366036232*p^87*q^1428+ 827628224*p^85*q^1430+55763528*p^83*q^1432+2476088*p^81*q^1434+22676*p^79*q^ 1436+11892*p^77*q^1438+8*p^75*q^1440+48*p^122*q^1392+207552*p^120*q^1394+541598 *p^118*q^1396+31913126*p^116*q^1398+389026842*p^114*q^1400+5474415688*p^112*q^ 1402+64664626361*p^110*q^1404+709756189886*p^108*q^1406+7099732935454*p^106*q^ 1408+62354236475864*p^104*q^1410+383578632197189*p^102*q^1412+1088510075605980* p^100*q^1414+964829166907085*p^98*q^1416+285803039236372*p^96*q^1418+ 42856692834146*p^94*q^1420+4804213522656*p^92*q^1422+471491329957*p^90*q^1424+ 42338614274*p^88*q^1426+3437762985*p^86*q^1428+209366858*p^84*q^1430+17836438*p ^82*q^1432+323760*p^80*q^1434+16418*p^78*q^1436+872*p^76*q^1438+4*p^123*q^1390+ 14596*p^121*q^1392+617586*p^119*q^1394+4165938*p^117*q^1396+126572727*p^115*q^ 1398+1359827570*p^113*q^1400+17926591196*p^111*q^1402+205263374792*p^109*q^1404 +2153061115227*p^107*q^1406+20481257794926*p^105*q^1408+158626559479210*p^103*q ^1410+715210360471544*p^101*q^1412+1201034993825408*p^99*q^1414+606085957526450 *p^97*q^1416+122551779642436*p^95*q^1418+15440470235508*p^93*q^1420+ 1609215738015*p^91*q^1422+151225128016*p^89*q^1424+12802934687*p^87*q^1426+ 958714250*p^85*q^1428+60212716*p^83*q^1430+3619084*p^81*q^1432+26870*p^79*q^ 1434+19406*p^77*q^1436+28*p^122*q^1390+133160*p^120*q^1392+685842*p^118*q^1394+ 25004732*p^116*q^1396+358861008*p^114*q^1398+4830873637*p^112*q^1400+ 57595029650*p^110*q^1402+634815979888*p^108*q^1404+6395813135604*p^106*q^1406+ 56533880024455*p^104*q^1408+358282161353788*p^102*q^1410+1060352209864111*p^100 *q^1412+1001588926184980*p^98*q^1414+308158799962845*p^96*q^1416+47388791351972 *p^94*q^1418+5337031312840*p^92*q^1420+527026282704*p^90*q^1422+47526251431*p^ 88*q^1424+3854548420*p^86*q^1426+240155970*p^84*q^1428+19225778*p^82*q^1430+ 371274*p^80*q^1432+2868*p^78*q^1434+1532*p^76*q^1436+2564*p^121*q^1390+713432*p ^119*q^1392+2991710*p^117*q^1394+108857612*p^115*q^1396+1193370283*p^113*q^1398 +15953689226*p^111*q^1400+183414806418*p^109*q^1402+1928679258086*p^107*q^1404+ 18521857401556*p^105*q^1406+145150782945484*p^103*q^1408+681830276610715*p^101* q^1410+1202805551167812*p^99*q^1412+644001364121629*p^97*q^1414+133783782176826 *p^95*q^1416+17145689045684*p^93*q^1418+1791120344718*p^91*q^1420+169228452193* p^89*q^1422+14385759980*p^87*q^1424+1108737224*p^85*q^1426+62968850*p^83*q^1428 +4834330*p^81*q^1430+55984*p^79*q^1432+10376*p^77*q^1434+32*p^75*q^1436+144*p^ 122*q^1388+109888*p^120*q^1390+1040792*p^118*q^1392+19317374*p^116*q^1394+ 342335928*p^114*q^1396+4249386590*p^112*q^1398+51358681192*p^110*q^1400+ 569249664718*p^108*q^1402+5746238440728*p^106*q^1404+51427071464520*p^104*q^ 1406+332467122392076*p^102*q^1408+1036395393045926*p^100*q^1410+ 1030767865836267*p^98*q^1412+333366608014276*p^96*q^1414+52164685360277*p^94*q^ 1416+5944133172790*p^92*q^1418+588043804936*p^90*q^1420+53392632744*p^88*q^1422 +4329066089*p^86*q^1424+278375562*p^84*q^1426+21346540*p^82*q^1428+655400*p^80* q^1430+2200*p^78*q^1432+3752*p^76*q^1434+1356*p^121*q^1388+572414*p^119*q^1390+ 2455550*p^117*q^1392+93632596*p^115*q^1394+1052126910*p^113*q^1396+14239093821* p^111*q^1398+163499821282*p^109*q^1400+1733173516571*p^107*q^1402+ 16685830744806*p^105*q^1404+133262440638135*p^103*q^1406+644961778703890*p^101* q^1408+1208523151873118*p^99*q^1410+678940345205810*p^97*q^1412+146597590922918 *p^95*q^1414+18972388289340*p^93*q^1416+1999660764433*p^91*q^1418+189159987008* p^89*q^1420+16260312924*p^87*q^1422+1264226288*p^85*q^1424+68713630*p^83*q^1426 +5721092*p^81*q^1428+46018*p^79*q^1430+872*p^77*q^1432+144*p^75*q^1434+12*p^122 *q^1386+40660*p^120*q^1388+1561468*p^118*q^1390+15084196*p^116*q^1392+313728146 *p^114*q^1394+3738862736*p^112*q^1396+45825585860*p^110*q^1398+509120015303*p^ 108*q^1400+5174882206100*p^106*q^1402+46567045720596*p^104*q^1404+ 309450833958314*p^102*q^1406+1004421077200568*p^100*q^1408+1064384150849756*p^ 98*q^1410+358264410269065*p^96*q^1412+57619514555624*p^94*q^1414+6600085902512* p^92*q^1416+657246640696*p^90*q^1418+59837378942*p^88*q^1420+4839848342*p^86*q^ 1422+329876043*p^84*q^1424+22122364*p^82*q^1426+1027268*p^80*q^1428+7664*p^78*q ^1430+4172*p^76*q^1432+1588*p^121*q^1386+527580*p^119*q^1388+2432756*p^117*q^ 1390+76063930*p^115*q^1392+954714002*p^113*q^1394+12628971426*p^111*q^1396+ 146034225690*p^109*q^1398+1552076289274*p^107*q^1400+15077714608499*p^105*q^ 1402+121654543687026*p^103*q^1404+612000679945408*p^101*q^1406+1203743809906400 *p^99*q^1408+718277974368707*p^97*q^1410+159707419797406*p^95*q^1412+ 21060169574833*p^93*q^1414+2225209338868*p^91*q^1416+211778343242*p^89*q^1418+ 18322326404*p^87*q^1420+1443299212*p^85*q^1422+76267040*p^83*q^1424+6773496*p^ 81*q^1426+81554*p^79*q^1428+88*p^77*q^1430+340*p^75*q^1432+2*p^126*q^1380+4*p^ 122*q^1384+20880*p^120*q^1386+1655016*p^118*q^1388+11406566*p^116*q^1390+ 286586282*p^114*q^1392+3273774658*p^112*q^1394+40869231932*p^110*q^1396+ 456079761712*p^108*q^1398+4645016359254*p^106*q^1400+42303781291576*p^104*q^ 1402+286201308989259*p^102*q^1404+976432371098592*p^100*q^1406+1089850496894373 *p^98*q^1408+386320809945984*p^96*q^1410+63331272952078*p^94*q^1412+ 7346278081686*p^92*q^1414+732779491356*p^90*q^1416+67007239970*p^88*q^1418+ 5428627998*p^86*q^1420+383455686*p^84*q^1422+22011812*p^82*q^1424+1365464*p^80* q^1426+6980*p^78*q^1428+464*p^76*q^1430+8*p^74*q^1432+592*p^121*q^1384+320296*p ^119*q^1386+2923648*p^117*q^1388+62830754*p^115*q^1390+867581962*p^113*q^1392+ 11222215628*p^111*q^1394+130217266532*p^109*q^1396+1394180877761*p^107*q^1398+ 13574188574156*p^105*q^1400+111467987088341*p^103*q^1402+576370977924272*p^101* q^1404+1202541281774978*p^99*q^1406+753993828168656*p^97*q^1408+174602391780061 *p^95*q^1410+23285530285780*p^93*q^1412+2484118498574*p^91*q^1414+236662061716* p^89*q^1416+20731278301*p^87*q^1418+1625772696*p^85*q^1420+89689492*p^83*q^1422 +8009984*p^81*q^1424+165100*p^79*q^1426+628*p^77*q^1428+1008*p^75*q^1430+12968* p^120*q^1384+1742844*p^118*q^1386+9861454*p^116*q^1388+251608688*p^114*q^1390+ 2895764156*p^112*q^1392+36507414414*p^110*q^1394+407631714747*p^108*q^1396+ 4181635765968*p^106*q^1398+38250564282801*p^104*q^1400+265572092771724*p^102*q^ 1402+941277917495468*p^100*q^1404+1119307943719208*p^98*q^1406+413879224594238* p^96*q^1408+69867156529412*p^94*q^1410+8153770580244*p^92*q^1412+819106466700*p ^90*q^1414+75089748225*p^88*q^1416+6115542052*p^86*q^1418+450538958*p^84*q^1420 +22706796*p^82*q^1422+1672274*p^80*q^1424+6176*p^78*q^1426+8*p^74*q^1430+36*p^ 125*q^1378+120*p^121*q^1382+179880*p^119*q^1384+3561442*p^117*q^1386+49022410*p ^115*q^1388+796975250*p^113*q^1390+9902740966*p^111*q^1392+116201119189*p^109*q ^1394+1248015838486*p^107*q^1396+12252709826540*p^105*q^1398+101539484971438*p^ 103*q^1400+544663690442055*p^101*q^1402+1190998611306290*p^99*q^1404+ 794058078710575*p^97*q^1406+189803889811896*p^95*q^1408+25821279687646*p^93*q^ 1410+2762011774292*p^91*q^1412+264722014848*p^89*q^1414+23256653654*p^87*q^1416 +1818283163*p^85*q^1418+104783476*p^83*q^1420+7907428*p^81*q^1422+254756*p^79*q ^1424+1208*p^77*q^1426+158*p^75*q^1428+8572*p^120*q^1382+1482030*p^118*q^1384+ 8235488*p^116*q^1386+217591480*p^114*q^1388+2558597780*p^112*q^1390+32505767702 *p^110*q^1392+364927978652*p^108*q^1394+3751749793353*p^106*q^1396+ 34705170014842*p^104*q^1398+244861581837373*p^102*q^1400+910510702003564*p^100* q^1402+1139781355683807*p^98*q^1404+444716019538200*p^96*q^1406+76697344059218* p^94*q^1408+9071450916084*p^92*q^1410+913377772959*p^90*q^1412+84068200890*p^88 *q^1414+6921711395*p^86*q^1416+520975734*p^84*q^1418+23944342*p^82*q^1420+ 2372486*p^80*q^1422+18902*p^78*q^1424+20*p^76*q^1426+136*p^74*q^1428+22*p^121*q ^1380+107964*p^119*q^1382+4167216*p^117*q^1384+41441346*p^115*q^1386+730106442* p^113*q^1388+8794184936*p^111*q^1390+103810859184*p^109*q^1392+1120901093120*p^ 107*q^1394+11026680216820*p^105*q^1396+92841461575949*p^103*q^1398+ 510779350470046*p^101*q^1400+1183349840552984*p^99*q^1402+829586196382952*p^97* q^1404+207033297344899*p^95*q^1406+28528454472972*p^93*q^1408+3082288919477*p^ 91*q^1410+295831020894*p^89*q^1412+26265746550*p^87*q^1414+2035264884*p^85*q^ 1416+127191204*p^83*q^1418+8250362*p^81*q^1420+325972*p^79*q^1422+212*p^77*q^ 1424+274*p^124*q^1376+4*p^122*q^1378+3000*p^120*q^1380+1011932*p^118*q^1382+ 8378386*p^116*q^1384+182122774*p^114*q^1386+2282814800*p^112*q^1388+28923264556 *p^110*q^1390+325647559120*p^108*q^1392+3374069702168*p^106*q^1394+ 31343613462857*p^104*q^1396+226494147366326*p^102*q^1398+873218238653498*p^100* q^1400+1164541653349768*p^98*q^1402+474685989748294*p^96*q^1404+84479086511694* p^94*q^1406+10063217737255*p^92*q^1408+1020307453776*p^90*q^1410+94041078398*p^ 88*q^1412+7814403518*p^86*q^1414+595942203*p^84*q^1416+26421520*p^82*q^1418+ 2581104*p^80*q^1420+34424*p^78*q^1422+144*p^76*q^1424+28*p^74*q^1426+32*p^121*q ^1378+68376*p^119*q^1380+4469776*p^117*q^1382+33110192*p^115*q^1384+653918678*p ^113*q^1386+7756720820*p^111*q^1388+92679734962*p^109*q^1390+1003111423302*p^ 107*q^1392+9946102349667*p^105*q^1394+84437476873980*p^103*q^1396+ 480686881874137*p^101*q^1398+1165369366331714*p^99*q^1400+869725593071309*p^97* q^1402+224461328805388*p^95*q^1404+31607053761862*p^93*q^1406+3426078951504*p^ 91*q^1408+330883716446*p^89*q^1410+29421700056*p^87*q^1412+2276147935*p^85*q^ 1414+150868958*p^83*q^1416+7704924*p^81*q^1418+510798*p^79*q^1420+1424*p^77*q^ 1422+8*p^73*q^1426+64*p^124*q^1374+1080*p^120*q^1378+712180*p^118*q^1380+ 8969912*p^116*q^1382+153848082*p^114*q^1384+2070569428*p^112*q^1386+25738387435 *p^110*q^1388+291583723246*p^108*q^1390+3026686895458*p^106*q^1392+ 28403589871708*p^104*q^1394+208273777269953*p^102*q^1396+840288447463990*p^100* q^1398+1179179714297989*p^98*q^1400+508342957715754*p^96*q^1402+92586709348436* p^94*q^1404+11192207786096*p^92*q^1406+1137673372985*p^90*q^1408+105396989658*p ^88*q^1410+8879281878*p^86*q^1412+679139094*p^84*q^1414+31964302*p^82*q^1416+ 2992332*p^80*q^1418+55026*p^78*q^1420+1148*p^123*q^1374+150*p^121*q^1376+40456* p^119*q^1378+3829830*p^117*q^1380+28295860*p^115*q^1382+580799054*p^113*q^1384+ 6847372273*p^111*q^1386+82664556640*p^109*q^1388+899832631473*p^107*q^1390+ 8942327402132*p^105*q^1392+77042419366295*p^103*q^1394+449115836283530*p^101*q^ 1396+1151371933994803*p^99*q^1398+904214567258234*p^97*q^1400+244256703349953*p ^95*q^1402+34880664636224*p^93*q^1404+3820562153990*p^91*q^1406+369508235414*p^ 89*q^1408+33025234665*p^87*q^1410+2550475544*p^85*q^1412+177306809*p^83*q^1414+ 7229446*p^81*q^1416+658596*p^79*q^1418+2868*p^77*q^1420+8*p^75*q^1422+2*p^73*q^ 1424+524*p^120*q^1376+429060*p^118*q^1378+10272576*p^116*q^1380+128687812*p^114 *q^1382+1860796808*p^112*q^1384+22910960516*p^110*q^1386+260295058939*p^108*q^ 1388+2721954540904*p^106*q^1390+25628187472891*p^104*q^1392+192117344222540*p^ 102*q^1394+802097298466842*p^100*q^1396+1198025396490732*p^98*q^1398+ 540433610382089*p^96*q^1400+101835856203612*p^94*q^1402+12404816355527*p^92*q^ 1404+1270695151614*p^90*q^1406+117879991417*p^88*q^1408+10068727002*p^86*q^1410 +759481778*p^84*q^1412+39470218*p^82*q^1414+3039930*p^80*q^1416+78808*p^78*q^ 1418+56*p^76*q^1420+944*p^123*q^1372+34*p^121*q^1374+18108*p^119*q^1376+3229790 *p^117*q^1378+25386844*p^115*q^1380+505377072*p^113*q^1382+6090198404*p^111*q^ 1384+73739355289*p^109*q^1386+804878623264*p^107*q^1388+8060643824388*p^105*q^ 1390+69946351310886*p^103*q^1392+420930265608202*p^101*q^1394+1127824435544428* p^99*q^1396+943266537396659*p^97*q^1398+264118168368126*p^95*q^1400+ 38619127302601*p^93*q^1402+4246707540616*p^91*q^1404+413483632566*p^89*q^1406+ 37000652478*p^87*q^1408+2880405948*p^85*q^1410+211638322*p^83*q^1412+7451840*p^ 81*q^1414+841958*p^79*q^1416+7532*p^77*q^1418+2888*p^122*q^1372+1700*p^120*q^ 1374+313196*p^118*q^1376+10331146*p^116*q^1378+106583236*p^114*q^1380+ 1683668784*p^112*q^1382+20284834187*p^110*q^1384+232947136328*p^108*q^1386+ 2439608844101*p^106*q^1388+23201236764256*p^104*q^1390+176178732458895*p^102*q^ 1392+768069760220634*p^100*q^1394+1206636789076766*p^98*q^1396+576490941658266* p^96*q^1398+111391881483535*p^94*q^1400+13787170532064*p^92*q^1402+ 1415000124477*p^90*q^1404+131905750496*p^88*q^1406+11338895895*p^86*q^1408+ 842540862*p^84*q^1410+46093918*p^82*q^1412+2631950*p^80*q^1414+124308*p^78*q^ 1416+108*p^76*q^1418+56*p^123*q^1370+8*p^121*q^1372+7544*p^119*q^1374+2221824*p ^117*q^1376+24955624*p^115*q^1378+439144134*p^113*q^1380+5420301468*p^111*q^ 1382+65795519508*p^109*q^1384+721675590618*p^107*q^1386+7243945859050*p^105*q^ 1388+63725004421293*p^103*q^1390+391833377660184*p^101*q^1392+1107991741235919* p^99*q^1394+975907314014134*p^97*q^1396+286571399614198*p^95*q^1398+ 42573330695930*p^93*q^1400+4734995103746*p^91*q^1402+461884951580*p^89*q^1404+ 41550851659*p^87*q^1406+3293248780*p^85*q^1408+246282237*p^83*q^1410+9417496*p^ 81*q^1412+1074818*p^79*q^1414+10432*p^77*q^1416+5752*p^122*q^1370+968*p^120*q^ 1372+180684*p^118*q^1374+10227190*p^116*q^1376+91289238*p^114*q^1378+1507649696 *p^112*q^1380+18058767746*p^110*q^1382+207914105043*p^108*q^1384+2193318337628* p^106*q^1386+20912476382884*p^104*q^1388+162115458153704*p^102*q^1390+ 729586392447813*p^100*q^1392+1218989253744448*p^98*q^1394+610550940613342*p^96* q^1396+122310687384280*p^94*q^1398+15272028073267*p^92*q^1400+1580427212464*p^ 90*q^1402+147602953111*p^88*q^1404+12808229076*p^86*q^1406+931582446*p^84*q^ 1408+57511558*p^82*q^1410+2168710*p^80*q^1412+166608*p^78*q^1414+632*p^76*q^ 1416+58*p^123*q^1368+4494*p^121*q^1370+11056*p^119*q^1372+1671172*p^117*q^1374+ 24747752*p^115*q^1376+372009416*p^113*q^1378+4837822408*p^111*q^1380+ 58527955414*p^109*q^1382+645137841310*p^107*q^1384+6523995864555*p^105*q^1386+ 57754203439510*p^103*q^1388+365966834633181*p^101*q^1390+1079392810389654*p^99* q^1392+1012871487356291*p^97*q^1394+309014142828498*p^95*q^1396+47072218564635* p^93*q^1398+5258892530236*p^91*q^1400+516266341259*p^89*q^1402+46413140108*p^87 *q^1404+3733049661*p^85*q^1406+279156356*p^83*q^1408+10721172*p^81*q^1410+ 1030260*p^79*q^1412+16044*p^77*q^1414+1496*p^122*q^1368+224*p^120*q^1370+88934* p^118*q^1372+8580026*p^116*q^1374+78828598*p^114*q^1376+1345316410*p^112*q^1378 +15998386694*p^110*q^1380+186080550590*p^108*q^1382+1964980072824*p^106*q^1384+ 18914536868928*p^104*q^1386+148307699990180*p^102*q^1388+695510765222706*p^100* q^1390+1220729624613678*p^98*q^1392+648558135058122*p^96*q^1394+133551362487630 *p^94*q^1396+16964672132628*p^92*q^1398+1759927833875*p^90*q^1400+165383365370* p^88*q^1402+14406570494*p^86*q^1404+1048236378*p^84*q^1406+70302082*p^82*q^1408 +2143184*p^80*q^1410+281976*p^78*q^1412+1464*p^76*q^1414+18768*p^121*q^1368+ 11426*p^119*q^1370+1201902*p^117*q^1372+25518922*p^115*q^1374+322270218*p^113*q ^1376+4347953502*p^111*q^1378+52243846138*p^109*q^1380+578416638442*p^107*q^ 1382+5861881834456*p^105*q^1384+52536232374996*p^103*q^1386+339432744407774*p^ 101*q^1388+1054856366111212*p^99*q^1390+1042410542544542*p^97*q^1392+ 334293554357458*p^95*q^1394+51841134751122*p^93*q^1396+5860314483128*p^91*q^ 1398+576476509610*p^89*q^1400+52073046383*p^87*q^1402+4274183978*p^85*q^1404+ 311138991*p^83*q^1406+13599926*p^81*q^1408+933876*p^79*q^1410+22212*p^77*q^1412 +20*p^75*q^1414+938*p^122*q^1366+4670*p^120*q^1368+65004*p^118*q^1370+6848420*p ^116*q^1372+71488268*p^114*q^1374+1176949696*p^112*q^1376+14208772620*p^110*q^ 1378+165794971428*p^108*q^1380+1764593650926*p^106*q^1382+17032424919657*p^104* q^1384+136118159977982*p^102*q^1386+657621430485526*p^100*q^1388+ 1226609430623862*p^98*q^1390+683893122261853*p^96*q^1392+146339433669236*p^94*q ^1394+18776844979391*p^92*q^1396+1964955918180*p^90*q^1398+184871868418*p^88*q^ 1400+16190867362*p^86*q^1402+1174491544*p^84*q^1404+84736800*p^82*q^1406+ 2315786*p^80*q^1408+310996*p^78*q^1410+1208*p^76*q^1412+12784*p^121*q^1366+4022 *p^119*q^1368+711786*p^117*q^1370+24876446*p^115*q^1372+272704352*p^113*q^1374+ 3895649740*p^111*q^1376+46497097306*p^109*q^1378+517065352918*p^107*q^1380+ 5277183810502*p^105*q^1382+47562270987722*p^103*q^1384+315933572489950*p^101*q^ 1386+1022037048363414*p^99*q^1388+1076496960043005*p^97*q^1390+359279235851398* p^95*q^1392+57252940971586*p^93*q^1394+6506688600088*p^91*q^1396+643923164945*p ^89*q^1398+58245206328*p^87*q^1400+4848715976*p^85*q^1402+343610568*p^83*q^1404 +16972228*p^81*q^1406+653006*p^79*q^1408+53284*p^77*q^1410+160*p^75*q^1412+125* p^122*q^1364+35724*p^120*q^1366+78384*p^118*q^1368+5631396*p^116*q^1370+ 66093666*p^114*q^1372+1036468866*p^112*q^1374+12646108335*p^110*q^1376+ 148260078550*p^108*q^1378+1580669699528*p^106*q^1380+15389546865782*p^104*q^ 1382+124264997669112*p^102*q^1384+623985905308994*p^100*q^1386+1221326470425352 *p^98*q^1388+723530393451316*p^96*q^1390+159446510732834*p^94*q^1392+ 20844423636612*p^92*q^1394+2187873271767*p^90*q^1396+207338145164*p^88*q^1398+ 18158127523*p^86*q^1400+1348736308*p^84*q^1402+99500678*p^82*q^1404+2855204*p^ 80*q^1406+369196*p^78*q^1408+1876*p^76*q^1410+7498*p^121*q^1364+6932*p^119*q^ 1366+439816*p^117*q^1368+22030274*p^115*q^1370+239438560*p^113*q^1372+ 3483251916*p^111*q^1374+41369964490*p^109*q^1376+463323791469*p^107*q^1378+ 4737092371882*p^105*q^1380+43195254964254*p^103*q^1382+292142885607564*p^101*q^ 1384+993441078053404*p^99*q^1386+1101940439282900*p^97*q^1388+387512696857218*p ^95*q^1390+62956018000858*p^93*q^1392+7245824971444*p^91*q^1394+718502149926*p^ 89*q^1396+65251869504*p^87*q^1398+5504148624*p^85*q^1400+374586084*p^83*q^1402+ 21581508*p^81*q^1404+510316*p^79*q^1406+66364*p^77*q^1408+40*p^75*q^1410+52488* p^120*q^1364+43734*p^118*q^1366+3986080*p^116*q^1368+64433770*p^114*q^1370+ 896086568*p^112*q^1372+11279399032*p^110*q^1374+132208747922*p^108*q^1376+ 1419006950724*p^106*q^1378+13851395379072*p^104*q^1380+113797411058462*p^102*q^ 1382+587564991733384*p^100*q^1384+1220150785046154*p^98*q^1386+759425107293573* p^96*q^1388+174371313050310*p^94*q^1390+23049566133025*p^92*q^1392+ 2442204159572*p^90*q^1394+231675144393*p^88*q^1396+20383592640*p^86*q^1398+ 1545634882*p^84*q^1400+114054656*p^82*q^1402+3663062*p^80*q^1404+302284*p^78*q^ 1406+6904*p^76*q^1408+8*p^74*q^1410+3041*p^121*q^1362+42580*p^119*q^1364+409006 *p^117*q^1366+19875558*p^115*q^1368+207857162*p^113*q^1370+3101728840*p^111*q^ 1372+36819521445*p^109*q^1374+413856561412*p^107*q^1376+4262879719813*p^105*q^ 1378+39050868288866*p^103*q^1380+270994627087851*p^101*q^1382+957711097591770*p ^99*q^1384+1131834534573833*p^97*q^1386+415068505994976*p^95*q^1388+ 69456845991644*p^93*q^1390+8041853442008*p^91*q^1392+802867407836*p^89*q^1394+ 73119077050*p^87*q^1396+6223040099*p^85*q^1398+415531432*p^83*q^1400+27271068*p ^81*q^1402+528212*p^79*q^1404+95360*p^77*q^1406+80*p^75*q^1408+48*p^122*q^1360+ 39244*p^120*q^1362+35812*p^118*q^1364+2688004*p^116*q^1366+60036100*p^114*q^ 1368+783049480*p^112*q^1370+10057524954*p^110*q^1372+118066152124*p^108*q^1374+ 1270401333488*p^106*q^1376+12505221295258*p^104*q^1378+103671057625897*p^102*q^ 1380+555072053741440*p^100*q^1382+1208378471309303*p^98*q^1384+799765080276408* p^96*q^1386+189523005625199*p^94*q^1388+25567048616328*p^92*q^1390+ 2716397852214*p^90*q^1392+259271370692*p^88*q^1394+22757284891*p^86*q^1396+ 1775589376*p^84*q^1398+125058362*p^82*q^1400+4496418*p^80*q^1402+161684*p^78*q^ 1404+11128*p^76*q^1406+180*p^121*q^1360+119438*p^119*q^1362+307832*p^117*q^1364 +16266536*p^115*q^1366+187113640*p^113*q^1368+2746082930*p^111*q^1370+ 32765239396*p^109*q^1372+370668232452*p^107*q^1374+3824731994828*p^105*q^1376+ 35428014784304*p^103*q^1378+249822783487872*p^101*q^1380+925995417478018*p^99*q ^1382+1152523810531574*p^97*q^1384+446092747347204*p^95*q^1386+76261460043376*p ^93*q^1388+8953097415034*p^91*q^1390+896089474214*p^89*q^1392+82104733229*p^87* q^1394+7038338474*p^85*q^1396+470335268*p^83*q^1398+33865508*p^81*q^1400+750606 *p^79*q^1402+123352*p^77*q^1404+528*p^75*q^1406+27506*p^120*q^1360+52378*p^118* q^1362+2033506*p^116*q^1364+57556294*p^114*q^1366+684585933*p^112*q^1368+ 9011483802*p^110*q^1370+105302819722*p^108*q^1372+1140328912532*p^106*q^1374+ 11247228657621*p^104*q^1376+94760238840660*p^102*q^1378+520464171918944*p^100*q ^1380+1200288792403720*p^98*q^1382+835715631189042*p^96*q^1384+206772256293834* p^94*q^1386+28248216926515*p^92*q^1388+3031539659948*p^90*q^1390+289553124432*p ^88*q^1392+25535066552*p^86*q^1394+2039156670*p^84*q^1396+135370036*p^82*q^1398 +6167822*p^80*q^1400+96544*p^78*q^1402+13834*p^76*q^1404+872*p^121*q^1358+ 135028*p^119*q^1360+227672*p^117*q^1362+12557030*p^115*q^1364+167895518*p^113*q ^1366+2410854482*p^111*q^1368+29128881286*p^109*q^1370+330737232294*p^107*q^ 1372+3438975398520*p^105*q^1374+31985235043472*p^103*q^1376+231072214780832*p^ 101*q^1378+888099600249504*p^99*q^1380+1177311104863430*p^97*q^1382+ 476182541221674*p^95*q^1384+84002891322604*p^93*q^1386+9928218498418*p^91*q^ 1388+1000819726620*p^89*q^1390+91904512958*p^87*q^1392+7888380055*p^85*q^1394+ 534295772*p^83*q^1396+39816066*p^81*q^1398+804592*p^79*q^1400+72050*p^77*q^1402 +1580*p^75*q^1404+5620*p^120*q^1358+169442*p^118*q^1360+1632296*p^116*q^1362+ 51619674*p^114*q^1364+598075626*p^112*q^1366+8035753240*p^110*q^1368+ 93968696590*p^108*q^1370+1020690291403*p^106*q^1372+10146939712420*p^104*q^1374 +86169059655636*p^102*q^1376+489792007390902*p^100*q^1378+1182002188887154*p^98 *q^1380+875864474861582*p^96*q^1382+224212004185919*p^94*q^1384+31301726377544* p^92*q^1386+3371252890795*p^90*q^1388+324023016662*p^88*q^1390+28565040580*p^86 *q^1392+2337642342*p^84*q^1394+147121273*p^82*q^1396+8066882*p^80*q^1398+140348 *p^78*q^1400+33220*p^76*q^1402+16*p^74*q^1404+88*p^121*q^1356+134165*p^119*q^ 1358+197316*p^117*q^1360+9513904*p^115*q^1362+157735318*p^113*q^1364+2138245400 *p^111*q^1366+25996939742*p^109*q^1368+296323175491*p^107*q^1370+3084981117840* p^105*q^1372+28986379369540*p^103*q^1374+212389531038184*p^101*q^1376+ 854489878694259*p^99*q^1378+1192093667221250*p^97*q^1380+509901155121170*p^95*q ^1382+92101840396784*p^93*q^1384+11048181190530*p^91*q^1386+1116750532520*p^89* q^1388+103191629918*p^87*q^1390+8879720844*p^85*q^1392+625855605*p^83*q^1394+ 44995006*p^81*q^1396+1184748*p^79*q^1398+30860*p^77*q^1400+948*p^75*q^1402+7292 *p^120*q^1356+299084*p^118*q^1358+1239504*p^116*q^1360+44750072*p^114*q^1362+ 524813936*p^112*q^1364+7137515272*p^110*q^1366+83670964033*p^108*q^1368+ 914970930284*p^106*q^1370+9119870142976*p^104*q^1372+78599742677860*p^102*q^ 1374+457421284748189*p^100*q^1376+1167820340787426*p^98*q^1378+910748216498965* p^96*q^1380+243974905100250*p^94*q^1382+34553759918287*p^92*q^1384+ 3759479226868*p^90*q^1386+361652670271*p^88*q^1388+32054085138*p^86*q^1390+ 2654500821*p^84*q^1392+158122008*p^82*q^1394+10635124*p^80*q^1396+137886*p^78*q ^1398+27390*p^76*q^1400+160*p^74*q^1402+59198*p^119*q^1356+239814*p^117*q^1358+ 7467960*p^115*q^1360+145216794*p^113*q^1362+1871363774*p^111*q^1364+23189733394 *p^109*q^1366+264328201892*p^107*q^1368+2772904573263*p^105*q^1370+ 26148740213656*p^103*q^1372+195910186904819*p^101*q^1374+815435554000196*p^99*q ^1376+1211233783699319*p^97*q^1378+542124509432422*p^95*q^1380+101280265778929* p^93*q^1382+12243962010356*p^91*q^1384+1247006027574*p^89*q^1386+115396257522*p ^87*q^1388+9918146340*p^85*q^1390+724195224*p^83*q^1392+49191769*p^81*q^1394+ 1528994*p^79*q^1396+22794*p^77*q^1398+5280*p^75*q^1400+2528*p^120*q^1354+401654 *p^118*q^1356+1059288*p^116*q^1358+37143420*p^114*q^1360+467066946*p^112*q^1362 +6357586044*p^110*q^1364+74643595880*p^108*q^1366+818940439742*p^106*q^1368+ 8221844554376*p^104*q^1370+71365615768831*p^102*q^1372+428722487747072*p^100*q^ 1374+1143545172449305*p^98*q^1376+950079879699248*p^96*q^1378+263825949519270*p ^94*q^1380+38258091740876*p^92*q^1382+4180591744575*p^90*q^1384+404921466116*p^ 88*q^1386+35996947286*p^86*q^1388+3028509582*p^84*q^1390+181416120*p^82*q^1392+ 13251412*p^80*q^1394+192442*p^78*q^1396+13800*p^76*q^1398+24*p^74*q^1400+41550* p^119*q^1354+482432*p^117*q^1356+5775756*p^115*q^1358+132492608*p^113*q^1360+ 1654396260*p^111*q^1362+20663220286*p^109*q^1364+236577798543*p^107*q^1366+ 2485545208478*p^105*q^1368+23665752593214*p^103*q^1370+179631666114868*p^101*q^ 1372+780725962702759*p^99*q^1374+1219528431382114*p^97*q^1376+578379823110268*p ^95*q^1378+110827465286364*p^93*q^1380+13612548406651*p^91*q^1382+1389905321572 *p^89*q^1384+129245031839*p^87*q^1386+11082596490*p^85*q^1388+837915685*p^83*q^ 1390+50852000*p^81*q^1392+2172362*p^79*q^1394+24478*p^77*q^1396+7320*p^75*q^ 1398+8*p^73*q^1400+296*p^120*q^1352+310588*p^118*q^1354+804180*p^116*q^1356+ 30066364*p^114*q^1358+421510124*p^112*q^1360+5621631120*p^110*q^1362+ 66510570173*p^108*q^1364+733887425404*p^106*q^1366+7385990842928*p^104*q^1368+ 64988563613314*p^102*q^1370+399012596155222*p^100*q^1372+1123459397741598*p^98* q^1374+982811056096310*p^96*q^1376+286340263278640*p^94*q^1378+42180291227591*p ^92*q^1380+4661018667400*p^90*q^1382+452301067977*p^88*q^1384+40484824860*p^86* q^1386+3422064326*p^84*q^1388+209370710*p^82*q^1390+15724256*p^80*q^1392+265404 *p^78*q^1394+4948*p^76*q^1396+408*p^74*q^1398+44*p^121*q^1350+27980*p^119*q^ 1352+797910*p^117*q^1354+4924190*p^115*q^1356+119132696*p^113*q^1358+1451854178 *p^111*q^1360+18471692581*p^109*q^1362+211007868494*p^107*q^1364+2233645712689* p^105*q^1366+21330026989092*p^103*q^1368+165232799220880*p^101*q^1370+ 741643325361924*p^99*q^1372+1232107296284234*p^97*q^1374+612408853689016*p^95*q ^1376+121690534328537*p^93*q^1378+15077847689006*p^91*q^1380+1552037843799*p^89 *q^1382+144408240816*p^87*q^1384+12413316186*p^85*q^1386+970739788*p^83*q^1388+ 54490784*p^81*q^1390+3104362*p^79*q^1392+23360*p^77*q^1394+4348*p^75*q^1396+220 *p^120*q^1350+195688*p^118*q^1352+956884*p^116*q^1354+23879974*p^114*q^1356+ 377629364*p^112*q^1358+4982820992*p^110*q^1360+59257247102*p^108*q^1362+ 656193111533*p^106*q^1364+6653640822134*p^104*q^1366+58907242688548*p^102*q^ 1368+372581940040558*p^100*q^1370+1094402878143645*p^98*q^1372+1020017344631624 *p^96*q^1374+308694530130731*p^94*q^1376+46653843961960*p^92*q^1378+ 5177852192143*p^90*q^1380+505825665678*p^88*q^1382+45403465657*p^86*q^1384+ 3831541756*p^84*q^1386+243437849*p^82*q^1388+16768850*p^80*q^1390+319920*p^78*q ^1392+4084*p^76*q^1394+1336*p^74*q^1396+6372*p^119*q^1350+951136*p^117*q^1352+ 3817322*p^115*q^1354+102821288*p^113*q^1356+1293314342*p^111*q^1358+16425008238 *p^109*q^1360+188806018582*p^107*q^1362+2001455206486*p^105*q^1364+ 19291367362148*p^103*q^1366+151145691015508*p^101*q^1368+706691669207088*p^99*q ^1370+1233823712759034*p^97*q^1372+650617290767730*p^95*q^1374+132884244957286* p^93*q^1376+16755566796322*p^91*q^1378+1729494518070*p^89*q^1380+161905767161*p ^87*q^1382+13920213868*p^85*q^1384+1130574464*p^83*q^1386+59763452*p^81*q^1388+ 4249355*p^79*q^1390+47546*p^77*q^1392+1980*p^75*q^1394+8*p^73*q^1396+672*p^120* q^1348+170814*p^118*q^1350+1350019*p^116*q^1352+19957510*p^114*q^1354+346303258 *p^112*q^1356+4412658350*p^110*q^1358+52935956694*p^108*q^1360+588050205284*p^ 106*q^1362+5974548850720*p^104*q^1364+53567963010436*p^102*q^1366+ 345515310889191*p^100*q^1368+1069188543038210*p^98*q^1370+1049912160855197*p^96 *q^1372+334021773803818*p^94*q^1374+51381272454803*p^92*q^1376+5771552817338*p^ 90*q^1378+564946899009*p^88*q^1380+50985561644*p^86*q^1382+4301471216*p^84*q^ 1384+284894534*p^82*q^1386+18092432*p^80*q^1388+544380*p^78*q^1390+1670*p^76*q^ 1392+796*p^74*q^1394+4532*p^119*q^1348+730024*p^117*q^1350+3351830*p^115*q^1352 +86667012*p^113*q^1354+1135658418*p^111*q^1356+14603447228*p^109*q^1358+ 168047195714*p^107*q^1360+1796727242014*p^105*q^1362+17367108365222*p^103*q^ 1364+138717329366956*p^101*q^1366+668213071097628*p^99*q^1368+1239498473306049* p^97*q^1370+686112087015500*p^95*q^1372+145609637625237*p^93*q^1374+ 18539842962506*p^91*q^1376+1930228187887*p^89*q^1378+180757154078*p^87*q^1380+ 15635453785*p^85*q^1382+1280373798*p^83*q^1384+66792546*p^81*q^1386+4843692*p^ 79*q^1388+36724*p^77*q^1390+488*p^75*q^1392+152*p^73*q^1394+80*p^120*q^1346+ 67537*p^118*q^1348+1946770*p^116*q^1350+16250082*p^114*q^1352+309466878*p^112*q ^1354+3915706193*p^110*q^1356+47246218954*p^108*q^1358+525932326390*p^106*q^ 1360+5380135994342*p^104*q^1362+48491307476946*p^102*q^1364+321596317266336*p^ 100*q^1366+1035918334381176*p^98*q^1368+1083863116240492*p^96*q^1370+ 359009315672851*p^94*q^1372+56752447267618*p^92*q^1374+6409059505842*p^90*q^ 1376+631750558974*p^88*q^1378+57121457525*p^86*q^1380+4794114742*p^84*q^1382+ 340987296*p^82*q^1384+18795220*p^80*q^1386+890390*p^78*q^1388+7128*p^76*q^1390+ 640*p^74*q^1392+4810*p^119*q^1346+687832*p^117*q^1348+3384372*p^115*q^1350+ 72914056*p^113*q^1352+1020557104*p^111*q^1354+12990383364*p^109*q^1356+ 150350406812*p^107*q^1358+1609467216140*p^105*q^1360+15693737035919*p^103*q^ 1362+126593485689696*p^101*q^1364+633954740393272*p^99*q^1366+1234066081698082* p^97*q^1368+725759447624158*p^95*q^1370+158706985847866*p^93*q^1372+ 20591573065734*p^91*q^1374+2150415839912*p^89*q^1376+202761233516*p^87*q^1378+ 17613803550*p^85*q^1380+1470799346*p^83*q^1382+77589594*p^81*q^1384+5668462*p^ 79*q^1386+67954*p^77*q^1388+48*p^75*q^1390+80*p^73*q^1392+12*p^120*q^1344+44960 *p^118*q^1346+1993878*p^116*q^1348+13482226*p^114*q^1350+275272876*p^112*q^1352 +3464555964*p^110*q^1354+42093071530*p^108*q^1356+470711577382*p^106*q^1358+ 4827969600529*p^104*q^1360+44027503046798*p^102*q^1362+297240067888391*p^100*q^ 1364+1006902221772744*p^98*q^1366+1109655281328904*p^96*q^1368+387183879747076* p^94*q^1370+62420620126142*p^92*q^1372+7136695321430*p^90*q^1374+704842763429*p ^88*q^1376+63966762570*p^86*q^1378+5346403807*p^84*q^1380+396189738*p^82*q^1382 +19110402*p^80*q^1384+1163348*p^78*q^1386+5348*p^76*q^1388+28*p^74*q^1390+8*p^ 72*q^1392+2372*p^119*q^1344+421763*p^117*q^1346+3771554*p^115*q^1348+61024122*p ^113*q^1350+907843550*p^111*q^1352+11533287210*p^109*q^1354+133994913314*p^107* q^1356+1444601703797*p^105*q^1358+14121548910580*p^103*q^1360+115928714314415*p ^101*q^1362+596807640075428*p^99*q^1364+1232987588399991*p^97*q^1366+ 761789723537520*p^95*q^1368+173523693560452*p^93*q^1370+22770037613692*p^91*q^ 1372+2399873402640*p^89*q^1374+226555582476*p^87*q^1376+19836627641*p^85*q^1378 +1652000012*p^83*q^1380+92279524*p^81*q^1382+6277606*p^79*q^1384+132198*p^77*q^ 1386+628*p^75*q^1388+112*p^73*q^1390+28*p^120*q^1342+28760*p^118*q^1344+2020486 *p^116*q^1346+12345399*p^114*q^1348+239704890*p^112*q^1350+3076768738*p^110*q^ 1352+37572764086*p^108*q^1354+420659474685*p^106*q^1356+4344556747298*p^104*q^ 1358+39810560766437*p^102*q^1360+275743342357528*p^100*q^1362+970356905812273*p ^98*q^1364+1139709967070164*p^96*q^1366+414729832340133*p^94*q^1368+ 68860127003866*p^92*q^1370+7923036659950*p^90*q^1372+788051990636*p^88*q^1374+ 71625465034*p^86*q^1376+5985848036*p^84*q^1378+467040574*p^82*q^1380+21099166*p ^80*q^1382+1414046*p^78*q^1384+5256*p^76*q^1386+4*p^72*q^1390+480*p^119*q^1342+ 278946*p^117*q^1344+4370957*p^115*q^1346+50392484*p^113*q^1348+815716088*p^111* q^1350+10256612842*p^109*q^1352+119807681317*p^107*q^1354+1293517756406*p^105*q ^1356+12748482330277*p^103*q^1358+105601402868428*p^101*q^1360+563728831140497* p^99*q^1362+1220664224111092*p^97*q^1364+802340008671632*p^95*q^1366+ 188651335723200*p^93*q^1368+25263848752331*p^91*q^1370+2671025321690*p^89*q^ 1372+253858133188*p^87*q^1374+22281487626*p^85*q^1376+1855163020*p^83*q^1378+ 110486734*p^81*q^1380+6179654*p^79*q^1382+226636*p^77*q^1384+1020*p^75*q^1386+ 23468*p^118*q^1342+1685325*p^116*q^1344+10843170*p^114*q^1346+207355752*p^112*q ^1348+2726796284*p^110*q^1350+33405429530*p^108*q^1352+376359183214*p^106*q^ 1354+3896641397419*p^104*q^1356+36099035807402*p^102*q^1358+254148792882678*p^ 100*q^1360+938206858010208*p^98*q^1362+1160305326014871*p^96*q^1364+ 445826956309420*p^94*q^1366+75619569840021*p^92*q^1368+8819582459860*p^90*q^ 1370+879507977648*p^88*q^1372+80271611074*p^86*q^1374+6735801088*p^84*q^1376+ 541021552*p^82*q^1378+23415064*p^80*q^1380+1832792*p^78*q^1382+13384*p^76*q^ 1384+20*p^74*q^1386+8*p^72*q^1388+584*p^119*q^1340+181518*p^117*q^1342+4724042* p^115*q^1344+45055770*p^113*q^1346+726909966*p^111*q^1348+9123977422*p^109*q^ 1350+106932907786*p^107*q^1352+1160571712522*p^105*q^1354+11464945836894*p^103* q^1356+96495518327986*p^101*q^1358+528608308175602*p^99*q^1360+1212586518501959 *p^97*q^1362+838224800464018*p^95*q^1364+205828404191007*p^93*q^1366+ 27910669340498*p^91*q^1368+2979968355642*p^89*q^1370+283518382406*p^87*q^1372+ 25051646869*p^85*q^1374+2057304284*p^83*q^1376+132773417*p^81*q^1378+6392766*p^ 79*q^1380+277686*p^77*q^1382+184*p^75*q^1384+60*p^120*q^1338+8708*p^118*q^1340+ 1227464*p^116*q^1342+10736238*p^114*q^1344+174087128*p^112*q^1346+2418882847*p^ 110*q^1348+29761558898*p^108*q^1350+335854366939*p^106*q^1352+3504649958588*p^ 104*q^1354+32598215940267*p^102*q^1356+235029755742970*p^100*q^1358+ 899791529334066*p^98*q^1360+1185226208136334*p^96*q^1362+475755096470863*p^94*q ^1364+83311071877482*p^92*q^1366+9782819819822*p^90*q^1368+982641815746*p^88*q^ 1370+89865972131*p^86*q^1372+7579575430*p^84*q^1374+622363431*p^82*q^1376+ 27720148*p^80*q^1378+1934810*p^78*q^1380+30666*p^76*q^1382+136*p^74*q^1384+80*p ^119*q^1338+135308*p^117*q^1340+4772482*p^115*q^1342+38662094*p^113*q^1344+ 645998896*p^111*q^1346+8119766754*p^109*q^1348+95520563892*p^107*q^1350+ 1039075771268*p^105*q^1352+10344025246212*p^103*q^1354+87745004434956*p^101*q^ 1356+497238085888259*p^99*q^1358+1194026958013602*p^97*q^1360+878552975316036*p ^95*q^1362+223190038977502*p^93*q^1364+30942930193505*p^91*q^1366+3315220342542 *p^89*q^1368+317715998141*p^87*q^1370+28076056608*p^85*q^1372+2294492658*p^83*q ^1374+159946994*p^81*q^1376+6383126*p^79*q^1378+415230*p^77*q^1380+914*p^75*q^ 1382+8*p^120*q^1336+6492*p^118*q^1338+951498*p^116*q^1340+10882528*p^114*q^1342 +152535119*p^112*q^1344+2160737180*p^110*q^1346+26484167793*p^108*q^1348+ 300820696188*p^106*q^1350+3141928282210*p^104*q^1352+29532083707120*p^102*q^ 1354+215993030186183*p^100*q^1356+865460858700104*p^98*q^1358+1200233843769274* p^96*q^1360+509540809157376*p^94*q^1362+91339002856818*p^92*q^1364+ 10887022094268*p^90*q^1366+1096288793010*p^88*q^1368+100768569974*p^86*q^1370+ 8574352313*p^84*q^1372+711373300*p^82*q^1374+33663572*p^80*q^1376+2116558*p^78* q^1378+47848*p^76*q^1380+924*p^119*q^1336+85936*p^117*q^1338+4034056*p^115*q^ 1340+34324981*p^113*q^1342+560765202*p^111*q^1344+7195111774*p^109*q^1346+ 85093147406*p^107*q^1348+930710804212*p^105*q^1350+9293781918018*p^103*q^1352+ 80034906082511*p^101*q^1354+464394370605048*p^99*q^1356+1179431510614226*p^97*q ^1358+913604406644088*p^95*q^1360+242863476146844*p^93*q^1362+34147306655428*p^ 91*q^1364+3696736091686*p^89*q^1366+354612388538*p^87*q^1368+31459864041*p^85*q ^1370+2544755564*p^83*q^1372+186864266*p^81*q^1374+6694290*p^79*q^1376+475366*p ^77*q^1378+2214*p^75*q^1380+8*p^73*q^1382+2324*p^118*q^1336+622840*p^116*q^1338 +11365841*p^114*q^1340+132486888*p^112*q^1342+1920815346*p^110*q^1344+ 23616140324*p^108*q^1346+268545302997*p^106*q^1348+2825674154482*p^104*q^1350+ 26643204515485*p^102*q^1352+199243821479864*p^100*q^1354+825912177864293*p^98*q ^1356+1219100896939422*p^96*q^1358+541741531499393*p^94*q^1360+100450662458426* p^92*q^1362+12067406777760*p^90*q^1364+1224504029726*p^88*q^1366+112784560264*p ^86*q^1368+9669999084*p^84*q^1370+794155208*p^82*q^1372+42109908*p^80*q^1374+ 2033720*p^78*q^1376+70668*p^76*q^1378+28*p^74*q^1380+252*p^119*q^1334+52336*p^ 117*q^1336+3619822*p^115*q^1338+31474108*p^113*q^1340+490377516*p^111*q^1342+ 6417917810*p^109*q^1344+76023286496*p^107*q^1346+833089342742*p^105*q^1348+ 8379218784228*p^103*q^1350+72644384333122*p^101*q^1352+435214753967173*p^99*q^ 1354+1154815406223968*p^97*q^1356+952815917661035*p^95*q^1358+262694216176190*p ^93*q^1360+37822528300454*p^91*q^1362+4112037428232*p^89*q^1364+397531742845*p^ 87*q^1366+35314230496*p^85*q^1368+2873971893*p^83*q^1370+227201550*p^81*q^1372+ 7823724*p^79*q^1374+622784*p^77*q^1376+6936*p^75*q^1378+6448*p^118*q^1334+ 514932*p^116*q^1336+10712256*p^114*q^1338+115684692*p^112*q^1340+1707767402*p^ 110*q^1342+20992396640*p^108*q^1344+240232312950*p^106*q^1346+2531625735434*p^ 104*q^1348+24108508523450*p^102*q^1350+182611831839270*p^100*q^1352+ 790704659796756*p^98*q^1354+1227576593218086*p^96*q^1356+577921494132822*p^94*q ^1358+109942679186832*p^92*q^1360+13416996436138*p^90*q^1362+1364505168245*p^88 *q^1364+126299751806*p^86*q^1366+10855130646*p^84*q^1368+876838936*p^82*q^1370+ 48992794*p^80*q^1372+1849444*p^78*q^1374+87438*p^76*q^1376+60*p^74*q^1378+40*p^ 119*q^1332+28518*p^117*q^1334+2556522*p^115*q^1336+29553907*p^113*q^1338+ 427436860*p^111*q^1340+5683686381*p^109*q^1342+67669221872*p^107*q^1344+ 746140803143*p^105*q^1346+7526023692466*p^103*q^1348+66152155945351*p^101*q^ 1350+404949072131632*p^99*q^1352+1134641828011367*p^97*q^1354+985699301525968*p ^95*q^1356+285022997858253*p^93*q^1358+41701108178400*p^91*q^1360+4583226741151 *p^89*q^1362+443797772380*p^87*q^1364+39603660752*p^85*q^1366+3243167106*p^83*q ^1368+263079058*p^81*q^1370+9895292*p^79*q^1372+659958*p^77*q^1374+9560*p^75*q^ 1376+8*p^120*q^1330+4264*p^118*q^1332+337126*p^116*q^1334+10487402*p^114*q^1336 +103565722*p^112*q^1338+1508417301*p^110*q^1340+18760141426*p^108*q^1342+ 214567744934*p^106*q^1344+2275441065558*p^104*q^1346+21733011603851*p^102*q^ 1348+167998532241954*p^100*q^1350+750914653460094*p^98*q^1352+1240179465486104* p^96*q^1354+611910881872079*p^94*q^1356+120707844975046*p^92*q^1358+ 14864115735900*p^90*q^1360+1524405653510*p^88*q^1362+141432913373*p^86*q^1364+ 12220795670*p^84*q^1366+969502883*p^82*q^1368+62281004*p^80*q^1370+1876196*p^78 *q^1372+130102*p^76*q^1374+596*p^74*q^1376+8*p^119*q^1330+31284*p^117*q^1332+ 2169422*p^115*q^1334+27872196*p^113*q^1336+372480332*p^111*q^1338+5063272494*p^ 109*q^1340+60347210654*p^107*q^1342+667316454454*p^105*q^1344+6779526307102*p^ 103*q^1346+59961451228260*p^101*q^1348+378084203581587*p^99*q^1350+ 1104860621103650*p^97*q^1352+1023063619937991*p^95*q^1354+307339226239584*p^93* q^1356+46127456229202*p^91*q^1358+5095006320160*p^89*q^1360+496569123710*p^87*q ^1362+44351113036*p^85*q^1364+3665219387*p^83*q^1366+301270900*p^81*q^1368+ 11540796*p^79*q^1370+586718*p^77*q^1372+12768*p^75*q^1374+1008*p^118*q^1330+ 217242*p^116*q^1332+8742632*p^114*q^1334+91497632*p^112*q^1336+1330923600*p^110 *q^1338+16668398223*p^108*q^1340+191890125816*p^106*q^1342+2037850898126*p^104* q^1344+19647779340188*p^102*q^1346+153642451717941*p^100*q^1348+715494924360732 *p^98*q^1350+1241637463688557*p^96*q^1352+650203633337622*p^94*q^1354+ 131831506019263*p^92*q^1356+16518350428696*p^90*q^1358+1698238404009*p^88*q^ 1360+158636813836*p^86*q^1362+13724858459*p^84*q^1364+1085501858*p^82*q^1366+ 76520578*p^80*q^1368+2130272*p^78*q^1370+187150*p^76*q^1372+1252*p^74*q^1374+ 152*p^119*q^1328+37022*p^117*q^1330+1677286*p^115*q^1332+26957220*p^113*q^1334+ 332121800*p^111*q^1336+4497057945*p^109*q^1338+53807127780*p^107*q^1340+ 597768866239*p^105*q^1342+6087113758386*p^103*q^1344+54510302687554*p^101*q^ 1346+350635004138896*p^99*q^1348+1079505559111761*p^97*q^1350+1052794332865482* p^95*q^1352+332563517053486*p^93*q^1354+50796620790068*p^91*q^1356+ 5676347229692*p^89*q^1358+554328660978*p^87*q^1360+49710068164*p^85*q^1362+ 4143505824*p^83*q^1364+333472551*p^81*q^1366+14392482*p^79*q^1368+555040*p^77*q ^1370+15882*p^75*q^1372+16*p^73*q^1374+528*p^118*q^1328+150140*p^116*q^1330+ 7335797*p^114*q^1332+82764674*p^112*q^1334+1159002574*p^110*q^1336+14838493096* p^108*q^1338+171056723575*p^106*q^1340+1829882484454*p^104*q^1342+ 17692608961681*p^102*q^1344+140991555117178*p^100*q^1346+676550716973607*p^98*q ^1348+1247307713444742*p^96*q^1350+685455047358213*p^94*q^1352+144472565237984* p^92*q^1354+18281475685168*p^90*q^1356+1896280546260*p^88*q^1358+177394888858*p ^86*q^1360+15410832540*p^84*q^1362+1209506839*p^82*q^1364+92824428*p^80*q^1366+ 2528528*p^78*q^1368+165974*p^76*q^1370+1344*p^74*q^1372+4*p^119*q^1326+13416*p^ 117*q^1328+1196155*p^115*q^1330+25101490*p^113*q^1332+292452101*p^111*q^1334+ 4007063538*p^109*q^1336+48060268008*p^107*q^1338+534708856084*p^105*q^1340+ 5482040693093*p^103*q^1342+49348534342908*p^101*q^1344+326239815484006*p^99*q^ 1346+1045810928270018*p^97*q^1348+1086874522281095*p^95*q^1350+357403159736936* p^93*q^1352+56129896913114*p^91*q^1354+6305798467710*p^89*q^1356+620064867612*p ^87*q^1358+55762767638*p^85*q^1360+4680169713*p^83*q^1362+373071638*p^81*q^1364 +18962346*p^79*q^1366+488750*p^77*q^1368+41426*p^75*q^1370+144*p^73*q^1372+1284 *p^118*q^1326+199192*p^116*q^1328+6417338*p^114*q^1330+75395036*p^112*q^1332+ 1029475480*p^110*q^1334+13194238313*p^108*q^1336+152920030070*p^106*q^1338+ 1638289045195*p^104*q^1340+15982847661186*p^102*q^1342+128647322523938*p^100*q^ 1344+641628846574868*p^98*q^1346+1241947439949420*p^96*q^1348+725174901186804*p ^94*q^1350+157456307008689*p^92*q^1352+20306122347482*p^90*q^1354+2112441513715 *p^88*q^1356+199049284408*p^86*q^1358+17278207322*p^84*q^1360+1377912572*p^82*q ^1362+108893781*p^80*q^1364+2882778*p^78*q^1366+178180*p^76*q^1368+902*p^74*q^ 1370+36*p^119*q^1324+9274*p^117*q^1326+786166*p^115*q^1328+21720196*p^113*q^ 1330+260682952*p^111*q^1332+3525554469*p^109*q^1334+42776596554*p^107*q^1336+ 478566935941*p^105*q^1338+4917368240356*p^103*q^1340+44804517440037*p^101*q^ 1342+301551491967406*p^99*q^1344+1016317162187747*p^97*q^1346+1112796096491558* p^95*q^1348+385459480919407*p^93*q^1350+61716554643794*p^91*q^1352+ 7021198851385*p^89*q^1354+691347799088*p^87*q^1356+62416166009*p^85*q^1358+ 5260935328*p^83*q^1360+405578999*p^81*q^1362+23727114*p^79*q^1364+515618*p^77*q ^1366+37600*p^75*q^1368+68*p^73*q^1370+384*p^118*q^1324+115016*p^116*q^1326+ 5047765*p^114*q^1328+69645590*p^112*q^1330+903934429*p^110*q^1332+11765690090*p ^108*q^1334+136381707824*p^106*q^1336+1470663209318*p^104*q^1338+14383858439523 *p^102*q^1340+117823276041450*p^100*q^1342+604064327344929*p^98*q^1344+ 1240432125432162*p^96*q^1346+761170887569639*p^94*q^1348+172156525830280*p^92*q ^1350+22454672325167*p^90*q^1352+2358356913010*p^88*q^1354+222539386030*p^86*q^ 1356+19426609992*p^84*q^1358+1555499894*p^82*q^1360+125364360*p^80*q^1362+ 4028534*p^78*q^1364+145872*p^76*q^1366+6056*p^74*q^1368+8*p^72*q^1370+7788*p^ 117*q^1324+815296*p^115*q^1326+20141372*p^113*q^1328+233687044*p^111*q^1330+ 3129658820*p^109*q^1332+38204409714*p^107*q^1334+427961565212*p^105*q^1336+ 4426615831087*p^103*q^1338+40505119240478*p^101*q^1340+279716609317847*p^99*q^ 1342+979342205966994*p^97*q^1344+1142611720609373*p^95*q^1346+412947389188026*p ^93*q^1348+68109600243271*p^91*q^1350+7797255103808*p^89*q^1352+773527285461*p^ 87*q^1354+70124177484*p^85*q^1356+5926551072*p^83*q^1358+456818368*p^81*q^1360+ 30681891*p^79*q^1362+550146*p^77*q^1364+45406*p^75*q^1366+18*p^73*q^1368+564*p^ 118*q^1322+82586*p^116*q^1324+3739838*p^114*q^1326+61717696*p^112*q^1328+ 803359964*p^110*q^1330+10446237382*p^108*q^1332+121815879162*p^106*q^1334+ 1316093022494*p^104*q^1336+12981034411706*p^102*q^1338+107279836518693*p^100*q^ 1340+570543054268164*p^98*q^1342+1228115191730864*p^96*q^1344+801564143941100*p ^94*q^1346+187206519189503*p^92*q^1348+24913239407452*p^90*q^1350+2624180522123 *p^88*q^1352+249196426162*p^86*q^1354+21706157168*p^84*q^1356+1765033232*p^82*q ^1358+138703296*p^80*q^1360+4989464*p^78*q^1362+104934*p^76*q^1364+7400*p^74*q^ 1366+6016*p^117*q^1322+660968*p^115*q^1324+17066315*p^113*q^1326+208989168*p^ 111*q^1328+2751997088*p^109*q^1330+33982283544*p^107*q^1332+382885654102*p^105* q^1334+3969112106398*p^103*q^1336+36730706440157*p^101*q^1338+257759724154438*p ^99*q^1340+946978631514221*p^97*q^1342+1163356104962646*p^95*q^1344+ 443785978732998*p^93*q^1346+74791731790986*p^91*q^1348+8677920420426*p^89*q^ 1350+862889317732*p^87*q^1352+78664233848*p^85*q^1354+6671980422*p^83*q^1356+ 510869633*p^81*q^1358+37047856*p^79*q^1360+731886*p^77*q^1362+45570*p^75*q^1364 +444*p^73*q^1366+88*p^118*q^1320+54532*p^116*q^1322+3069694*p^114*q^1324+ 57418604*p^112*q^1326+718888086*p^110*q^1328+9299528732*p^108*q^1330+ 108751185270*p^106*q^1332+1181036423270*p^104*q^1334+11677417752406*p^102*q^ 1336+98050258675788*p^100*q^1338+534853002547786*p^98*q^1340+1219965960910488*p ^96*q^1342+837361525166163*p^94*q^1344+204205464480216*p^92*q^1346+ 27530048859312*p^90*q^1348+2928597474700*p^88*q^1350+278367817250*p^86*q^1352+ 24384072614*p^84*q^1354+1989802707*p^82*q^1356+153926052*p^80*q^1358+7114466*p^ 78*q^1360+109188*p^76*q^1362+7668*p^74*q^1364+8*p^119*q^1318+4524*p^117*q^1320+ 490438*p^115*q^1322+14384402*p^113*q^1324+184473308*p^111*q^1326+2430008988*p^ 109*q^1328+30330118842*p^107*q^1330+341964038256*p^105*q^1332+3569837139759*p^ 103*q^1334+33170046217602*p^101*q^1336+238351536323301*p^99*q^1338+ 907873076769162*p^97*q^1340+1188326480212088*p^95*q^1342+473656119407818*p^93*q ^1344+82404152054789*p^91*q^1346+9630190102496*p^89*q^1348+964813045735*p^87*q^ 1350+88274171132*p^85*q^1352+7492787610*p^83*q^1354+579835146*p^81*q^1356+ 44212826*p^79*q^1358+894886*p^77*q^1360+27280*p^75*q^1362+1288*p^73*q^1364+ 47174*p^116*q^1320+2817084*p^114*q^1322+50799799*p^112*q^1324+642849004*p^110*q ^1326+8248193110*p^108*q^1328+97095043212*p^106*q^1330+1056899376438*p^104*q^ 1332+10531337113856*p^102*q^1334+89140758870797*p^100*q^1336+503093389773604*p^ 98*q^1338+1200966551654560*p^96*q^1340+877794965944286*p^94*q^1342+ 221454277345597*p^92*q^1344+30518138410974*p^90*q^1346+3257891492279*p^88*q^ 1348+311658730524*p^86*q^1350+27323774481*p^84*q^1352+2249862946*p^82*q^1354+ 171003408*p^80*q^1356+9068256*p^78*q^1358+118404*p^76*q^1360+11008*p^74*q^1362+ 8*p^72*q^1364+2388*p^117*q^1318+375880*p^115*q^1320+11366020*p^113*q^1322+ 166250176*p^111*q^1324+2160889926*p^109*q^1326+26991254578*p^107*q^1328+ 305974724127*p^105*q^1330+3199762076156*p^103*q^1332+30042593642004*p^101*q^ 1334+219054819751596*p^99*q^1336+873304510121507*p^97*q^1338+1203118316211116*p ^95*q^1340+507288985588308*p^93*q^1342+90340283724136*p^91*q^1344+ 10713014422571*p^89*q^1346+1076072475628*p^87*q^1348+99000527348*p^85*q^1350+ 8410407900*p^83*q^1352+659286334*p^81*q^1354+50098964*p^79*q^1356+1328488*p^77* q^1358+21160*p^75*q^1360+714*p^73*q^1362+140*p^118*q^1316+32728*p^116*q^1318+ 2220228*p^114*q^1320+45479122*p^112*q^1322+570175887*p^110*q^1324+7285362724*p^ 108*q^1326+86580821102*p^106*q^1328+947638399158*p^104*q^1330+9465271579920*p^ 102*q^1332+81304977100764*p^100*q^1334+469901150212447*p^98*q^1336+ 1186287374309786*p^96*q^1338+912487219298043*p^94*q^1340+240988325742588*p^92*q ^1342+33681811310669*p^90*q^1344+3633255874904*p^88*q^1346+347943461297*p^86*q^ 1348+30695836740*p^84*q^1350+2529069800*p^82*q^1352+188575536*p^80*q^1354+ 11752040*p^78*q^1356+139720*p^76*q^1358+7678*p^74*q^1360+152*p^72*q^1362+248*p^ 117*q^1316+270908*p^115*q^1318+10084988*p^113*q^1320+148584203*p^111*q^1322+ 1923971538*p^109*q^1324+24108156306*p^107*q^1326+273321597318*p^105*q^1328+ 2877279169216*p^103*q^1330+27106822940666*p^101*q^1332+202002915365643*p^99*q^ 1334+833310600716902*p^97*q^1336+1221998745720649*p^95*q^1338+539262819784480*p ^93*q^1340+99385559565531*p^91*q^1342+11879097179186*p^89*q^1344+1202895680880* p^87*q^1346+110953679196*p^85*q^1348+9440556389*p^83*q^1350+746267362*p^81*q^ 1352+57427883*p^79*q^1354+1870516*p^77*q^1356+20184*p^75*q^1358+1894*p^73*q^ 1360+12*p^118*q^1314+24856*p^116*q^1316+1961626*p^114*q^1318+38844870*p^112*q^ 1320+507529552*p^110*q^1322+6466994902*p^108*q^1324+77310122786*p^106*q^1326+ 847702695838*p^104*q^1328+8531697860118*p^102*q^1330+73789950696565*p^100*q^ 1332+440207014197654*p^98*q^1334+1161602513476122*p^96*q^1336+951784992404302*p ^94*q^1338+260632128727355*p^92*q^1340+37311056387896*p^90*q^1342+4040992617180 *p^88*q^1344+389754714268*p^86*q^1346+34508742834*p^84*q^1348+2860545242*p^82*q ^1350+217034665*p^80*q^1352+14380678*p^78*q^1354+194112*p^76*q^1356+4144*p^74*q ^1358+24*p^72*q^1360+1192*p^117*q^1314+225552*p^115*q^1316+8369224*p^113*q^1318 +132493818*p^111*q^1320+1718486640*p^109*q^1322+21383556106*p^107*q^1324+ 244392152292*p^105*q^1326+2577009252008*p^103*q^1328+24526586165800*p^101*q^ 1330+185151013628598*p^99*q^1332+797645526070867*p^97*q^1334+1230573961529098*p ^95*q^1336+575274104228905*p^93*q^1338+108740948884544*p^91*q^1340+ 13206046568543*p^89*q^1342+1339850910778*p^87*q^1344+124138186627*p^85*q^1346+ 10541481078*p^83*q^1348+839599640*p^81*q^1350+61331420*p^79*q^1352+2437508*p^77 *q^1354+18328*p^75*q^1356+1488*p^73*q^1358+8*p^71*q^1360+7180*p^116*q^1314+ 1385866*p^114*q^1316+33208134*p^112*q^1318+449173739*p^110*q^1320+5715469524*p^ 108*q^1322+68952884717*p^106*q^1324+759638348238*p^104*q^1326+7664397267595*p^ 102*q^1328+67207218335810*p^100*q^1330+409642696610210*p^98*q^1332+ 1140936593492600*p^96*q^1334+984602151270684*p^94*q^1336+282785918916626*p^92*q ^1338+41135141403727*p^90*q^1340+4505279034568*p^88*q^1342+435375153806*p^86*q^ 1344+38849530034*p^84*q^1346+3223514596*p^82*q^1348+244771182*p^80*q^1350+ 17600868*p^78*q^1352+338836*p^76*q^1354+3680*p^74*q^1356+216*p^72*q^1358+476*p^ 117*q^1312+166028*p^115*q^1314+7746990*p^113*q^1316+119645934*p^111*q^1318+ 1538170470*p^109*q^1320+19098161707*p^107*q^1322+218321198138*p^105*q^1324+ 2317068935171*p^103*q^1326+22107389490062*p^101*q^1328+170329773972493*p^99*q^ 1330+757436225894388*p^97*q^1332+1242814032727888*p^95*q^1334+609164570767406*p ^93*q^1336+119414677764895*p^91*q^1338+14633222924378*p^89*q^1340+1497740728295 *p^87*q^1342+138997681590*p^85*q^1344+11859963172*p^83*q^1346+948606102*p^81*q^ 1348+71286217*p^79*q^1350+3432092*p^77*q^1352+20584*p^75*q^1354+926*p^73*q^1356 +4*p^118*q^1310+7846*p^116*q^1312+1233482*p^114*q^1314+28445602*p^112*q^1316+ 395485054*p^110*q^1318+5079983188*p^108*q^1320+61483131414*p^106*q^1322+ 679184136312*p^104*q^1324+6901847205592*p^102*q^1326+60893644796857*p^100*q^ 1328+382428762557514*p^98*q^1330+1111040032497612*p^96*q^1332+1021743634603268* p^94*q^1334+304982176584140*p^92*q^1336+45507622480080*p^90*q^1338+ 5007233939058*p^88*q^1340+487244167370*p^86*q^1342+43602033416*p^84*q^1344+ 3609102278*p^82*q^1346+278273410*p^80*q^1348+19116288*p^78*q^1350+391546*p^76*q ^1352+1880*p^74*q^1354+160*p^72*q^1356+12*p^119*q^1308+28*p^117*q^1310+88984*p^ 115*q^1312+6118577*p^113*q^1314+103644646*p^111*q^1316+1369160409*p^109*q^1318+ 16892614218*p^107*q^1320+195137458562*p^105*q^1322+2074461498370*p^103*q^1324+ 19986362510765*p^101*q^1326+155743924036708*p^99*q^1328+721788459308378*p^97*q^ 1330+1244380449062926*p^95*q^1332+647098040359380*p^93*q^1334+130412653195838*p ^91*q^1336+16256214823963*p^89*q^1338+1667720347160*p^87*q^1340+155606364348*p^ 85*q^1342+13303790780*p^83*q^1344+1075937270*p^81*q^1346+79311590*p^79*q^1348+ 4486301*p^77*q^1350+53190*p^75*q^1352+504*p^73*q^1354+12*p^71*q^1356+32*p^118*q ^1308+6464*p^116*q^1310+929988*p^114*q^1312+25540686*p^112*q^1314+356141929*p^ 110*q^1316+4534321102*p^108*q^1318+54928562674*p^106*q^1320+608756352754*p^104* q^1322+6198782779863*p^102*q^1324+55376511690734*p^100*q^1326+354599483183327*p ^98*q^1328+1085545589763452*p^96*q^1330+1051374316998994*p^94*q^1332+ 329915240871828*p^92*q^1334+50121399303773*p^90*q^1336+5580468263368*p^88*q^ 1338+544241210032*p^86*q^1340+49001706110*p^84*q^1342+4057162550*p^82*q^1344+ 313359132*p^80*q^1346+22384124*p^78*q^1348+652592*p^76*q^1350+1292*p^74*q^1352+ 160*p^72*q^1354+8*p^119*q^1306+128*p^117*q^1308+53944*p^115*q^1310+5311632*p^ 113*q^1312+90948902*p^111*q^1314+1206760660*p^109*q^1316+15005829172*p^107*q^ 1318+174059875550*p^105*q^1320+1862871060575*p^103*q^1322+17999655135486*p^101* q^1324+142914691821331*p^99*q^1326+682246706839648*p^97*q^1328+1250017576650006 *p^95*q^1330+682246706839648*p^93*q^1332+142914691821331*p^91*q^1334+ 17999655135486*p^89*q^1336+1862871060575*p^87*q^1338+174059875550*p^85*q^1340+ 15005829172*p^83*q^1342+1206760660*p^81*q^1344+90948902*p^79*q^1346+5311632*p^ 77*q^1348+53944*p^75*q^1350+128*p^73*q^1352+8*p^71*q^1354+160*p^118*q^1306+1292 *p^116*q^1308+652592*p^114*q^1310+22384124*p^112*q^1312+313359132*p^110*q^1314+ 4057162550*p^108*q^1316+49001706110*p^106*q^1318+544241210032*p^104*q^1320+ 5580468263368*p^102*q^1322+50121399303773*p^100*q^1324+329915240871828*p^98*q^ 1326+1051374316998994*p^96*q^1328+1085545589763452*p^94*q^1330+354599483183327* p^92*q^1332+55376511690734*p^90*q^1334+6198782779863*p^88*q^1336+608756352754*p ^86*q^1338+54928562674*p^84*q^1340+4534321102*p^82*q^1342+356141929*p^80*q^1344 +25540686*p^78*q^1346+929988*p^76*q^1348+6464*p^74*q^1350+32*p^72*q^1352+12*p^ 119*q^1304+504*p^117*q^1306+53190*p^115*q^1308+4486301*p^113*q^1310+79311590*p^ 111*q^1312+1075937270*p^109*q^1314+13303790780*p^107*q^1316+155606364348*p^105* q^1318+1667720347160*p^103*q^1320+16256214823963*p^101*q^1322+130412653195838*p ^99*q^1324+647098040359380*p^97*q^1326+1244380449062926*p^95*q^1328+ 721788459308378*p^93*q^1330+155743924036708*p^91*q^1332+19986362510765*p^89*q^ 1334+2074461498370*p^87*q^1336+195137458562*p^85*q^1338+16892614218*p^83*q^1340 +1369160409*p^81*q^1342+103644646*p^79*q^1344+6118577*p^77*q^1346+88984*p^75*q^ 1348+28*p^73*q^1350+12*p^71*q^1352+160*p^118*q^1304+1880*p^116*q^1306+391546*p^ 114*q^1308+19116288*p^112*q^1310+278273410*p^110*q^1312+3609102278*p^108*q^1314 +43602033416*p^106*q^1316+487244167370*p^104*q^1318+5007233939058*p^102*q^1320+ 45507622480080*p^100*q^1322+304982176584140*p^98*q^1324+1021743634603268*p^96*q ^1326+1111040032497612*p^94*q^1328+382428762557514*p^92*q^1330+60893644796857*p ^90*q^1332+6901847205592*p^88*q^1334+679184136312*p^86*q^1336+61483131414*p^84* q^1338+5079983188*p^82*q^1340+395485054*p^80*q^1342+28445602*p^78*q^1344+ 1233482*p^76*q^1346+7846*p^74*q^1348+4*p^72*q^1350+926*p^117*q^1304+20584*p^115 *q^1306+3432092*p^113*q^1308+71286217*p^111*q^1310+948606102*p^109*q^1312+ 11859963172*p^107*q^1314+138997681590*p^105*q^1316+1497740728295*p^103*q^1318+ 14633222924378*p^101*q^1320+119414677764895*p^99*q^1322+609164570767406*p^97*q^ 1324+1242814032727888*p^95*q^1326+757436225894388*p^93*q^1328+170329773972493*p ^91*q^1330+22107389490062*p^89*q^1332+2317068935171*p^87*q^1334+218321198138*p^ 85*q^1336+19098161707*p^83*q^1338+1538170470*p^81*q^1340+119645934*p^79*q^1342+ 7746990*p^77*q^1344+166028*p^75*q^1346+476*p^73*q^1348+216*p^118*q^1302+3680*p^ 116*q^1304+338836*p^114*q^1306+17600868*p^112*q^1308+244771182*p^110*q^1310+ 3223514596*p^108*q^1312+38849530034*p^106*q^1314+435375153806*p^104*q^1316+ 4505279034568*p^102*q^1318+41135141403727*p^100*q^1320+282785918916626*p^98*q^ 1322+984602151270684*p^96*q^1324+1140936593492600*p^94*q^1326+409642696610210*p ^92*q^1328+67207218335810*p^90*q^1330+7664397267595*p^88*q^1332+759638348238*p^ 86*q^1334+68952884717*p^84*q^1336+5715469524*p^82*q^1338+449173739*p^80*q^1340+ 33208134*p^78*q^1342+1385866*p^76*q^1344+7180*p^74*q^1346+8*p^119*q^1300+1488*p ^117*q^1302+18328*p^115*q^1304+2437508*p^113*q^1306+61331420*p^111*q^1308+ 839599640*p^109*q^1310+10541481078*p^107*q^1312+124138186627*p^105*q^1314+ 1339850910778*p^103*q^1316+13206046568543*p^101*q^1318+108740948884544*p^99*q^ 1320+575274104228905*p^97*q^1322+1230573961529098*p^95*q^1324+797645526070867*p ^93*q^1326+185151013628598*p^91*q^1328+24526586165800*p^89*q^1330+2577009252008 *p^87*q^1332+244392152292*p^85*q^1334+21383556106*p^83*q^1336+1718486640*p^81*q ^1338+132493818*p^79*q^1340+8369224*p^77*q^1342+225552*p^75*q^1344+1192*p^73*q^ 1346+24*p^118*q^1300+4144*p^116*q^1302+194112*p^114*q^1304+14380678*p^112*q^ 1306+217034665*p^110*q^1308+2860545242*p^108*q^1310+34508742834*p^106*q^1312+ 389754714268*p^104*q^1314+4040992617180*p^102*q^1316+37311056387896*p^100*q^ 1318+260632128727355*p^98*q^1320+951784992404302*p^96*q^1322+1161602513476122*p ^94*q^1324+440207014197654*p^92*q^1326+73789950696565*p^90*q^1328+8531697860118 *p^88*q^1330+847702695838*p^86*q^1332+77310122786*p^84*q^1334+6466994902*p^82*q ^1336+507529552*p^80*q^1338+38844870*p^78*q^1340+1961626*p^76*q^1342+24856*p^74 *q^1344+12*p^72*q^1346+1894*p^117*q^1300+20184*p^115*q^1302+1870516*p^113*q^ 1304+57427883*p^111*q^1306+746267362*p^109*q^1308+9440556389*p^107*q^1310+ 110953679196*p^105*q^1312+1202895680880*p^103*q^1314+11879097179186*p^101*q^ 1316+99385559565531*p^99*q^1318+539262819784480*p^97*q^1320+1221998745720649*p^ 95*q^1322+833310600716902*p^93*q^1324+202002915365643*p^91*q^1326+ 27106822940666*p^89*q^1328+2877279169216*p^87*q^1330+273321597318*p^85*q^1332+ 24108156306*p^83*q^1334+1923971538*p^81*q^1336+148584203*p^79*q^1338+10084988*p ^77*q^1340+270908*p^75*q^1342+248*p^73*q^1344+152*p^118*q^1298+7678*p^116*q^ 1300+139720*p^114*q^1302+11752040*p^112*q^1304+188575536*p^110*q^1306+ 2529069800*p^108*q^1308+30695836740*p^106*q^1310+347943461297*p^104*q^1312+ 3633255874904*p^102*q^1314+33681811310669*p^100*q^1316+240988325742588*p^98*q^ 1318+912487219298043*p^96*q^1320+1186287374309786*p^94*q^1322+469901150212447*p ^92*q^1324+81304977100764*p^90*q^1326+9465271579920*p^88*q^1328+947638399158*p^ 86*q^1330+86580821102*p^84*q^1332+7285362724*p^82*q^1334+570175887*p^80*q^1336+ 45479122*p^78*q^1338+2220228*p^76*q^1340+32728*p^74*q^1342+140*p^72*q^1344+714* p^117*q^1298+21160*p^115*q^1300+1328488*p^113*q^1302+50098964*p^111*q^1304+ 659286334*p^109*q^1306+8410407900*p^107*q^1308+99000527348*p^105*q^1310+ 1076072475628*p^103*q^1312+10713014422571*p^101*q^1314+90340283724136*p^99*q^ 1316+507288985588308*p^97*q^1318+1203118316211116*p^95*q^1320+873304510121507*p ^93*q^1322+219054819751596*p^91*q^1324+30042593642004*p^89*q^1326+3199762076156 *p^87*q^1328+305974724127*p^85*q^1330+26991254578*p^83*q^1332+2160889926*p^81*q ^1334+166250176*p^79*q^1336+11366020*p^77*q^1338+375880*p^75*q^1340+2388*p^73*q ^1342+8*p^118*q^1296+11008*p^116*q^1298+118404*p^114*q^1300+9068256*p^112*q^ 1302+171003408*p^110*q^1304+2249862946*p^108*q^1306+27323774481*p^106*q^1308+ 311658730524*p^104*q^1310+3257891492279*p^102*q^1312+30518138410974*p^100*q^ 1314+221454277345597*p^98*q^1316+877794965944286*p^96*q^1318+1200966551654560*p ^94*q^1320+503093389773604*p^92*q^1322+89140758870797*p^90*q^1324+ 10531337113856*p^88*q^1326+1056899376438*p^86*q^1328+97095043212*p^84*q^1330+ 8248193110*p^82*q^1332+642849004*p^80*q^1334+50799799*p^78*q^1336+2817084*p^76* q^1338+47174*p^74*q^1340+1288*p^117*q^1296+27280*p^115*q^1298+894886*p^113*q^ 1300+44212826*p^111*q^1302+579835146*p^109*q^1304+7492787610*p^107*q^1306+ 88274171132*p^105*q^1308+964813045735*p^103*q^1310+9630190102496*p^101*q^1312+ 82404152054789*p^99*q^1314+473656119407818*p^97*q^1316+1188326480212088*p^95*q^ 1318+907873076769162*p^93*q^1320+238351536323301*p^91*q^1322+33170046217602*p^ 89*q^1324+3569837139759*p^87*q^1326+341964038256*p^85*q^1328+30330118842*p^83*q ^1330+2430008988*p^81*q^1332+184473308*p^79*q^1334+14384402*p^77*q^1336+490438* p^75*q^1338+4524*p^73*q^1340+8*p^71*q^1342+7668*p^116*q^1296+109188*p^114*q^ 1298+7114466*p^112*q^1300+153926052*p^110*q^1302+1989802707*p^108*q^1304+ 24384072614*p^106*q^1306+278367817250*p^104*q^1308+2928597474700*p^102*q^1310+ 27530048859312*p^100*q^1312+204205464480216*p^98*q^1314+837361525166163*p^96*q^ 1316+1219965960910488*p^94*q^1318+534853002547786*p^92*q^1320+98050258675788*p^ 90*q^1322+11677417752406*p^88*q^1324+1181036423270*p^86*q^1326+108751185270*p^ 84*q^1328+9299528732*p^82*q^1330+718888086*p^80*q^1332+57418604*p^78*q^1334+ 3069694*p^76*q^1336+54532*p^74*q^1338+88*p^72*q^1340+444*p^117*q^1294+45570*p^ 115*q^1296+731886*p^113*q^1298+37047856*p^111*q^1300+510869633*p^109*q^1302+ 6671980422*p^107*q^1304+78664233848*p^105*q^1306+862889317732*p^103*q^1308+ 8677920420426*p^101*q^1310+74791731790986*p^99*q^1312+443785978732998*p^97*q^ 1314+1163356104962646*p^95*q^1316+946978631514221*p^93*q^1318+257759724154438*p ^91*q^1320+36730706440157*p^89*q^1322+3969112106398*p^87*q^1324+382885654102*p^ 85*q^1326+33982283544*p^83*q^1328+2751997088*p^81*q^1330+208989168*p^79*q^1332+ 17066315*p^77*q^1334+660968*p^75*q^1336+6016*p^73*q^1338+7400*p^116*q^1294+ 104934*p^114*q^1296+4989464*p^112*q^1298+138703296*p^110*q^1300+1765033232*p^ 108*q^1302+21706157168*p^106*q^1304+249196426162*p^104*q^1306+2624180522123*p^ 102*q^1308+24913239407452*p^100*q^1310+187206519189503*p^98*q^1312+ 801564143941100*p^96*q^1314+1228115191730864*p^94*q^1316+570543054268164*p^92*q ^1318+107279836518693*p^90*q^1320+12981034411706*p^88*q^1322+1316093022494*p^86 *q^1324+121815879162*p^84*q^1326+10446237382*p^82*q^1328+803359964*p^80*q^1330+ 61717696*p^78*q^1332+3739838*p^76*q^1334+82586*p^74*q^1336+564*p^72*q^1338+18*p ^117*q^1292+45406*p^115*q^1294+550146*p^113*q^1296+30681891*p^111*q^1298+ 456818368*p^109*q^1300+5926551072*p^107*q^1302+70124177484*p^105*q^1304+ 773527285461*p^103*q^1306+7797255103808*p^101*q^1308+68109600243271*p^99*q^1310 +412947389188026*p^97*q^1312+1142611720609373*p^95*q^1314+979342205966994*p^93* q^1316+279716609317847*p^91*q^1318+40505119240478*p^89*q^1320+4426615831087*p^ 87*q^1322+427961565212*p^85*q^1324+38204409714*p^83*q^1326+3129658820*p^81*q^ 1328+233687044*p^79*q^1330+20141372*p^77*q^1332+815296*p^75*q^1334+7788*p^73*q^ 1336+8*p^118*q^1290+6056*p^116*q^1292+145872*p^114*q^1294+4028534*p^112*q^1296+ 125364360*p^110*q^1298+1555499894*p^108*q^1300+19426609992*p^106*q^1302+ 222539386030*p^104*q^1304+2358356913010*p^102*q^1306+22454672325167*p^100*q^ 1308+172156525830280*p^98*q^1310+761170887569639*p^96*q^1312+1240432125432162*p ^94*q^1314+604064327344929*p^92*q^1316+117823276041450*p^90*q^1318+ 14383858439523*p^88*q^1320+1470663209318*p^86*q^1322+136381707824*p^84*q^1324+ 11765690090*p^82*q^1326+903934429*p^80*q^1328+69645590*p^78*q^1330+5047765*p^76 *q^1332+115016*p^74*q^1334+384*p^72*q^1336+68*p^117*q^1290+37600*p^115*q^1292+ 515618*p^113*q^1294+23727114*p^111*q^1296+405578999*p^109*q^1298+5260935328*p^ 107*q^1300+62416166009*p^105*q^1302+691347799088*p^103*q^1304+7021198851385*p^ 101*q^1306+61716554643794*p^99*q^1308+385459480919407*p^97*q^1310+ 1112796096491558*p^95*q^1312+1016317162187747*p^93*q^1314+301551491967406*p^91* q^1316+44804517440037*p^89*q^1318+4917368240356*p^87*q^1320+478566935941*p^85*q ^1322+42776596554*p^83*q^1324+3525554469*p^81*q^1326+260682952*p^79*q^1328+ 21720196*p^77*q^1330+786166*p^75*q^1332+9274*p^73*q^1334+36*p^71*q^1336+902*p^ 116*q^1290+178180*p^114*q^1292+2882778*p^112*q^1294+108893781*p^110*q^1296+ 1377912572*p^108*q^1298+17278207322*p^106*q^1300+199049284408*p^104*q^1302+ 2112441513715*p^102*q^1304+20306122347482*p^100*q^1306+157456307008689*p^98*q^ 1308+725174901186804*p^96*q^1310+1241947439949420*p^94*q^1312+641628846574868*p ^92*q^1314+128647322523938*p^90*q^1316+15982847661186*p^88*q^1318+1638289045195 *p^86*q^1320+152920030070*p^84*q^1322+13194238313*p^82*q^1324+1029475480*p^80*q ^1326+75395036*p^78*q^1328+6417338*p^76*q^1330+199192*p^74*q^1332+1284*p^72*q^ 1334+144*p^117*q^1288+41426*p^115*q^1290+488750*p^113*q^1292+18962346*p^111*q^ 1294+373071638*p^109*q^1296+4680169713*p^107*q^1298+55762767638*p^105*q^1300+ 620064867612*p^103*q^1302+6305798467710*p^101*q^1304+56129896913114*p^99*q^1306 +357403159736936*p^97*q^1308+1086874522281095*p^95*q^1310+1045810928270018*p^93 *q^1312+326239815484006*p^91*q^1314+49348534342908*p^89*q^1316+5482040693093*p^ 87*q^1318+534708856084*p^85*q^1320+48060268008*p^83*q^1322+4007063538*p^81*q^ 1324+292452101*p^79*q^1326+25101490*p^77*q^1328+1196155*p^75*q^1330+13416*p^73* q^1332+4*p^71*q^1334+1344*p^116*q^1288+165974*p^114*q^1290+2528528*p^112*q^1292 +92824428*p^110*q^1294+1209506839*p^108*q^1296+15410832540*p^106*q^1298+ 177394888858*p^104*q^1300+1896280546260*p^102*q^1302+18281475685168*p^100*q^ 1304+144472565237984*p^98*q^1306+685455047358213*p^96*q^1308+1247307713444742*p ^94*q^1310+676550716973607*p^92*q^1312+140991555117178*p^90*q^1314+ 17692608961681*p^88*q^1316+1829882484454*p^86*q^1318+171056723575*p^84*q^1320+ 14838493096*p^82*q^1322+1159002574*p^80*q^1324+82764674*p^78*q^1326+7335797*p^ 76*q^1328+150140*p^74*q^1330+528*p^72*q^1332+16*p^117*q^1286+15882*p^115*q^1288 +555040*p^113*q^1290+14392482*p^111*q^1292+333472551*p^109*q^1294+4143505824*p^ 107*q^1296+49710068164*p^105*q^1298+554328660978*p^103*q^1300+5676347229692*p^ 101*q^1302+50796620790068*p^99*q^1304+332563517053486*p^97*q^1306+ 1052794332865482*p^95*q^1308+1079505559111761*p^93*q^1310+350635004138896*p^91* q^1312+54510302687554*p^89*q^1314+6087113758386*p^87*q^1316+597768866239*p^85*q ^1318+53807127780*p^83*q^1320+4497057945*p^81*q^1322+332121800*p^79*q^1324+ 26957220*p^77*q^1326+1677286*p^75*q^1328+37022*p^73*q^1330+152*p^71*q^1332+1252 *p^116*q^1286+187150*p^114*q^1288+2130272*p^112*q^1290+76520578*p^110*q^1292+ 1085501858*p^108*q^1294+13724858459*p^106*q^1296+158636813836*p^104*q^1298+ 1698238404009*p^102*q^1300+16518350428696*p^100*q^1302+131831506019263*p^98*q^ 1304+650203633337622*p^96*q^1306+1241637463688557*p^94*q^1308+715494924360732*p ^92*q^1310+153642451717941*p^90*q^1312+19647779340188*p^88*q^1314+2037850898126 *p^86*q^1316+191890125816*p^84*q^1318+16668398223*p^82*q^1320+1330923600*p^80*q ^1322+91497632*p^78*q^1324+8742632*p^76*q^1326+217242*p^74*q^1328+1008*p^72*q^ 1330+12768*p^115*q^1286+586718*p^113*q^1288+11540796*p^111*q^1290+301270900*p^ 109*q^1292+3665219387*p^107*q^1294+44351113036*p^105*q^1296+496569123710*p^103* q^1298+5095006320160*p^101*q^1300+46127456229202*p^99*q^1302+307339226239584*p^ 97*q^1304+1023063619937991*p^95*q^1306+1104860621103650*p^93*q^1308+ 378084203581587*p^91*q^1310+59961451228260*p^89*q^1312+6779526307102*p^87*q^ 1314+667316454454*p^85*q^1316+60347210654*p^83*q^1318+5063272494*p^81*q^1320+ 372480332*p^79*q^1322+27872196*p^77*q^1324+2169422*p^75*q^1326+31284*p^73*q^ 1328+8*p^71*q^1330+596*p^116*q^1284+130102*p^114*q^1286+1876196*p^112*q^1288+ 62281004*p^110*q^1290+969502883*p^108*q^1292+12220795670*p^106*q^1294+ 141432913373*p^104*q^1296+1524405653510*p^102*q^1298+14864115735900*p^100*q^ 1300+120707844975046*p^98*q^1302+611910881872079*p^96*q^1304+1240179465486104*p ^94*q^1306+750914653460094*p^92*q^1308+167998532241954*p^90*q^1310+ 21733011603851*p^88*q^1312+2275441065558*p^86*q^1314+214567744934*p^84*q^1316+ 18760141426*p^82*q^1318+1508417301*p^80*q^1320+103565722*p^78*q^1322+10487402*p ^76*q^1324+337126*p^74*q^1326+4264*p^72*q^1328+8*p^70*q^1330+9560*p^115*q^1284+ 659958*p^113*q^1286+9895292*p^111*q^1288+263079058*p^109*q^1290+3243167106*p^ 107*q^1292+39603660752*p^105*q^1294+443797772380*p^103*q^1296+4583226741151*p^ 101*q^1298+41701108178400*p^99*q^1300+285022997858253*p^97*q^1302+ 985699301525968*p^95*q^1304+1134641828011367*p^93*q^1306+404949072131632*p^91*q ^1308+66152155945351*p^89*q^1310+7526023692466*p^87*q^1312+746140803143*p^85*q^ 1314+67669221872*p^83*q^1316+5683686381*p^81*q^1318+427436860*p^79*q^1320+ 29553907*p^77*q^1322+2556522*p^75*q^1324+28518*p^73*q^1326+40*p^71*q^1328+60*p^ 116*q^1282+87438*p^114*q^1284+1849444*p^112*q^1286+48992794*p^110*q^1288+ 876838936*p^108*q^1290+10855130646*p^106*q^1292+126299751806*p^104*q^1294+ 1364505168245*p^102*q^1296+13416996436138*p^100*q^1298+109942679186832*p^98*q^ 1300+577921494132822*p^96*q^1302+1227576593218086*p^94*q^1304+790704659796756*p ^92*q^1306+182611831839270*p^90*q^1308+24108508523450*p^88*q^1310+2531625735434 *p^86*q^1312+240232312950*p^84*q^1314+20992396640*p^82*q^1316+1707767402*p^80*q ^1318+115684692*p^78*q^1320+10712256*p^76*q^1322+514932*p^74*q^1324+6448*p^72*q ^1326+6936*p^115*q^1282+622784*p^113*q^1284+7823724*p^111*q^1286+227201550*p^ 109*q^1288+2873971893*p^107*q^1290+35314230496*p^105*q^1292+397531742845*p^103* q^1294+4112037428232*p^101*q^1296+37822528300454*p^99*q^1298+262694216176190*p^ 97*q^1300+952815917661035*p^95*q^1302+1154815406223968*p^93*q^1304+ 435214753967173*p^91*q^1306+72644384333122*p^89*q^1308+8379218784228*p^87*q^ 1310+833089342742*p^85*q^1312+76023286496*p^83*q^1314+6417917810*p^81*q^1316+ 490377516*p^79*q^1318+31474108*p^77*q^1320+3619822*p^75*q^1322+52336*p^73*q^ 1324+252*p^71*q^1326+28*p^116*q^1280+70668*p^114*q^1282+2033720*p^112*q^1284+ 42109908*p^110*q^1286+794155208*p^108*q^1288+9669999084*p^106*q^1290+ 112784560264*p^104*q^1292+1224504029726*p^102*q^1294+12067406777760*p^100*q^ 1296+100450662458426*p^98*q^1298+541741531499393*p^96*q^1300+1219100896939422*p ^94*q^1302+825912177864293*p^92*q^1304+199243821479864*p^90*q^1306+ 26643204515485*p^88*q^1308+2825674154482*p^86*q^1310+268545302997*p^84*q^1312+ 23616140324*p^82*q^1314+1920815346*p^80*q^1316+132486888*p^78*q^1318+11365841*p ^76*q^1320+622840*p^74*q^1322+2324*p^72*q^1324+8*p^117*q^1278+2214*p^115*q^1280 +475366*p^113*q^1282+6694290*p^111*q^1284+186864266*p^109*q^1286+2544755564*p^ 107*q^1288+31459864041*p^105*q^1290+354612388538*p^103*q^1292+3696736091686*p^ 101*q^1294+34147306655428*p^99*q^1296+242863476146844*p^97*q^1298+ 913604406644088*p^95*q^1300+1179431510614226*p^93*q^1302+464394370605048*p^91*q ^1304+80034906082511*p^89*q^1306+9293781918018*p^87*q^1308+930710804212*p^85*q^ 1310+85093147406*p^83*q^1312+7195111774*p^81*q^1314+560765202*p^79*q^1316+ 34324981*p^77*q^1318+4034056*p^75*q^1320+85936*p^73*q^1322+924*p^71*q^1324+ 47848*p^114*q^1280+2116558*p^112*q^1282+33663572*p^110*q^1284+711373300*p^108*q ^1286+8574352313*p^106*q^1288+100768569974*p^104*q^1290+1096288793010*p^102*q^ 1292+10887022094268*p^100*q^1294+91339002856818*p^98*q^1296+509540809157376*p^ 96*q^1298+1200233843769274*p^94*q^1300+865460858700104*p^92*q^1302+ 215993030186183*p^90*q^1304+29532083707120*p^88*q^1306+3141928282210*p^86*q^ 1308+300820696188*p^84*q^1310+26484167793*p^82*q^1312+2160737180*p^80*q^1314+ 152535119*p^78*q^1316+10882528*p^76*q^1318+951498*p^74*q^1320+6492*p^72*q^1322+ 8*p^70*q^1324+914*p^115*q^1278+415230*p^113*q^1280+6383126*p^111*q^1282+ 159946994*p^109*q^1284+2294492658*p^107*q^1286+28076056608*p^105*q^1288+ 317715998141*p^103*q^1290+3315220342542*p^101*q^1292+30942930193505*p^99*q^1294 +223190038977502*p^97*q^1296+878552975316036*p^95*q^1298+1194026958013602*p^93* q^1300+497238085888259*p^91*q^1302+87745004434956*p^89*q^1304+10344025246212*p^ 87*q^1306+1039075771268*p^85*q^1308+95520563892*p^83*q^1310+8119766754*p^81*q^ 1312+645998896*p^79*q^1314+38662094*p^77*q^1316+4772482*p^75*q^1318+135308*p^73 *q^1320+80*p^71*q^1322+136*p^116*q^1276+30666*p^114*q^1278+1934810*p^112*q^1280 +27720148*p^110*q^1282+622363431*p^108*q^1284+7579575430*p^106*q^1286+ 89865972131*p^104*q^1288+982641815746*p^102*q^1290+9782819819822*p^100*q^1292+ 83311071877482*p^98*q^1294+475755096470863*p^96*q^1296+1185226208136334*p^94*q^ 1298+899791529334066*p^92*q^1300+235029755742970*p^90*q^1302+32598215940267*p^ 88*q^1304+3504649958588*p^86*q^1306+335854366939*p^84*q^1308+29761558898*p^82*q ^1310+2418882847*p^80*q^1312+174087128*p^78*q^1314+10736238*p^76*q^1316+1227464 *p^74*q^1318+8708*p^72*q^1320+60*p^70*q^1322+184*p^115*q^1276+277686*p^113*q^ 1278+6392766*p^111*q^1280+132773417*p^109*q^1282+2057304284*p^107*q^1284+ 25051646869*p^105*q^1286+283518382406*p^103*q^1288+2979968355642*p^101*q^1290+ 27910669340498*p^99*q^1292+205828404191007*p^97*q^1294+838224800464018*p^95*q^ 1296+1212586518501959*p^93*q^1298+528608308175602*p^91*q^1300+96495518327986*p^ 89*q^1302+11464945836894*p^87*q^1304+1160571712522*p^85*q^1306+106932907786*p^ 83*q^1308+9123977422*p^81*q^1310+726909966*p^79*q^1312+45055770*p^77*q^1314+ 4724042*p^75*q^1316+181518*p^73*q^1318+584*p^71*q^1320+8*p^118*q^1272+20*p^116* q^1274+13384*p^114*q^1276+1832792*p^112*q^1278+23415064*p^110*q^1280+541021552* p^108*q^1282+6735801088*p^106*q^1284+80271611074*p^104*q^1286+879507977648*p^ 102*q^1288+8819582459860*p^100*q^1290+75619569840021*p^98*q^1292+ 445826956309420*p^96*q^1294+1160305326014871*p^94*q^1296+938206858010208*p^92*q ^1298+254148792882678*p^90*q^1300+36099035807402*p^88*q^1302+3896641397419*p^86 *q^1304+376359183214*p^84*q^1306+33405429530*p^82*q^1308+2726796284*p^80*q^1310 +207355752*p^78*q^1312+10843170*p^76*q^1314+1685325*p^74*q^1316+23468*p^72*q^ 1318+1020*p^115*q^1274+226636*p^113*q^1276+6179654*p^111*q^1278+110486734*p^109 *q^1280+1855163020*p^107*q^1282+22281487626*p^105*q^1284+253858133188*p^103*q^ 1286+2671025321690*p^101*q^1288+25263848752331*p^99*q^1290+188651335723200*p^97 *q^1292+802340008671632*p^95*q^1294+1220664224111092*p^93*q^1296+ 563728831140497*p^91*q^1298+105601402868428*p^89*q^1300+12748482330277*p^87*q^ 1302+1293517756406*p^85*q^1304+119807681317*p^83*q^1306+10256612842*p^81*q^1308 +815716088*p^79*q^1310+50392484*p^77*q^1312+4370957*p^75*q^1314+278946*p^73*q^ 1316+480*p^71*q^1318+4*p^118*q^1270+5256*p^114*q^1274+1414046*p^112*q^1276+ 21099166*p^110*q^1278+467040574*p^108*q^1280+5985848036*p^106*q^1282+ 71625465034*p^104*q^1284+788051990636*p^102*q^1286+7923036659950*p^100*q^1288+ 68860127003866*p^98*q^1290+414729832340133*p^96*q^1292+1139709967070164*p^94*q^ 1294+970356905812273*p^92*q^1296+275743342357528*p^90*q^1298+39810560766437*p^ 88*q^1300+4344556747298*p^86*q^1302+420659474685*p^84*q^1304+37572764086*p^82*q ^1306+3076768738*p^80*q^1308+239704890*p^78*q^1310+12345399*p^76*q^1312+2020486 *p^74*q^1314+28760*p^72*q^1316+28*p^70*q^1318+112*p^117*q^1270+628*p^115*q^1272 +132198*p^113*q^1274+6277606*p^111*q^1276+92279524*p^109*q^1278+1652000012*p^ 107*q^1280+19836627641*p^105*q^1282+226555582476*p^103*q^1284+2399873402640*p^ 101*q^1286+22770037613692*p^99*q^1288+173523693560452*p^97*q^1290+ 761789723537520*p^95*q^1292+1232987588399991*p^93*q^1294+596807640075428*p^91*q ^1296+115928714314415*p^89*q^1298+14121548910580*p^87*q^1300+1444601703797*p^85 *q^1302+133994913314*p^83*q^1304+11533287210*p^81*q^1306+907843550*p^79*q^1308+ 61024122*p^77*q^1310+3771554*p^75*q^1312+421763*p^73*q^1314+2372*p^71*q^1316+8* p^118*q^1268+28*p^116*q^1270+5348*p^114*q^1272+1163348*p^112*q^1274+19110402*p^ 110*q^1276+396189738*p^108*q^1278+5346403807*p^106*q^1280+63966762570*p^104*q^ 1282+704842763429*p^102*q^1284+7136695321430*p^100*q^1286+62420620126142*p^98*q ^1288+387183879747076*p^96*q^1290+1109655281328904*p^94*q^1292+1006902221772744 *p^92*q^1294+297240067888391*p^90*q^1296+44027503046798*p^88*q^1298+ 4827969600529*p^86*q^1300+470711577382*p^84*q^1302+42093071530*p^82*q^1304+ 3464555964*p^80*q^1306+275272876*p^78*q^1308+13482226*p^76*q^1310+1993878*p^74* q^1312+44960*p^72*q^1314+12*p^70*q^1316+80*p^117*q^1268+48*p^115*q^1270+67954*p ^113*q^1272+5668462*p^111*q^1274+77589594*p^109*q^1276+1470799346*p^107*q^1278+ 17613803550*p^105*q^1280+202761233516*p^103*q^1282+2150415839912*p^101*q^1284+ 20591573065734*p^99*q^1286+158706985847866*p^97*q^1288+725759447624158*p^95*q^ 1290+1234066081698082*p^93*q^1292+633954740393272*p^91*q^1294+126593485689696*p ^89*q^1296+15693737035919*p^87*q^1298+1609467216140*p^85*q^1300+150350406812*p^ 83*q^1302+12990383364*p^81*q^1304+1020557104*p^79*q^1306+72914056*p^77*q^1308+ 3384372*p^75*q^1310+687832*p^73*q^1312+4810*p^71*q^1314+640*p^116*q^1268+7128*p ^114*q^1270+890390*p^112*q^1272+18795220*p^110*q^1274+340987296*p^108*q^1276+ 4794114742*p^106*q^1278+57121457525*p^104*q^1280+631750558974*p^102*q^1282+ 6409059505842*p^100*q^1284+56752447267618*p^98*q^1286+359009315672851*p^96*q^ 1288+1083863116240492*p^94*q^1290+1035918334381176*p^92*q^1292+321596317266336* p^90*q^1294+48491307476946*p^88*q^1296+5380135994342*p^86*q^1298+525932326390*p ^84*q^1300+47246218954*p^82*q^1302+3915706193*p^80*q^1304+309466878*p^78*q^1306 +16250082*p^76*q^1308+1946770*p^74*q^1310+67537*p^72*q^1312+80*p^70*q^1314+152* p^117*q^1266+488*p^115*q^1268+36724*p^113*q^1270+4843692*p^111*q^1272+66792546* p^109*q^1274+1280373798*p^107*q^1276+15635453785*p^105*q^1278+180757154078*p^ 103*q^1280+1930228187887*p^101*q^1282+18539842962506*p^99*q^1284+ 145609637625237*p^97*q^1286+686112087015500*p^95*q^1288+1239498473306049*p^93*q ^1290+668213071097628*p^91*q^1292+138717329366956*p^89*q^1294+17367108365222*p^ 87*q^1296+1796727242014*p^85*q^1298+168047195714*p^83*q^1300+14603447228*p^81*q ^1302+1135658418*p^79*q^1304+86667012*p^77*q^1306+3351830*p^75*q^1308+730024*p^ 73*q^1310+4532*p^71*q^1312+796*p^116*q^1266+1670*p^114*q^1268+544380*p^112*q^ 1270+18092432*p^110*q^1272+284894534*p^108*q^1274+4301471216*p^106*q^1276+ 50985561644*p^104*q^1278+564946899009*p^102*q^1280+5771552817338*p^100*q^1282+ 51381272454803*p^98*q^1284+334021773803818*p^96*q^1286+1049912160855197*p^94*q^ 1288+1069188543038210*p^92*q^1290+345515310889191*p^90*q^1292+53567963010436*p^ 88*q^1294+5974548850720*p^86*q^1296+588050205284*p^84*q^1298+52935956694*p^82*q ^1300+4412658350*p^80*q^1302+346303258*p^78*q^1304+19957510*p^76*q^1306+1350019 *p^74*q^1308+170814*p^72*q^1310+672*p^70*q^1312+8*p^117*q^1264+1980*p^115*q^ 1266+47546*p^113*q^1268+4249355*p^111*q^1270+59763452*p^109*q^1272+1130574464*p ^107*q^1274+13920213868*p^105*q^1276+161905767161*p^103*q^1278+1729494518070*p^ 101*q^1280+16755566796322*p^99*q^1282+132884244957286*p^97*q^1284+ 650617290767730*p^95*q^1286+1233823712759034*p^93*q^1288+706691669207088*p^91*q ^1290+151145691015508*p^89*q^1292+19291367362148*p^87*q^1294+2001455206486*p^85 *q^1296+188806018582*p^83*q^1298+16425008238*p^81*q^1300+1293314342*p^79*q^1302 +102821288*p^77*q^1304+3817322*p^75*q^1306+951136*p^73*q^1308+6372*p^71*q^1310+ 1336*p^116*q^1264+4084*p^114*q^1266+319920*p^112*q^1268+16768850*p^110*q^1270+ 243437849*p^108*q^1272+3831541756*p^106*q^1274+45403465657*p^104*q^1276+ 505825665678*p^102*q^1278+5177852192143*p^100*q^1280+46653843961960*p^98*q^1282 +308694530130731*p^96*q^1284+1020017344631624*p^94*q^1286+1094402878143645*p^92 *q^1288+372581940040558*p^90*q^1290+58907242688548*p^88*q^1292+6653640822134*p^ 86*q^1294+656193111533*p^84*q^1296+59257247102*p^82*q^1298+4982820992*p^80*q^ 1300+377629364*p^78*q^1302+23879974*p^76*q^1304+956884*p^74*q^1306+195688*p^72* q^1308+220*p^70*q^1310+4348*p^115*q^1264+23360*p^113*q^1266+3104362*p^111*q^ 1268+54490784*p^109*q^1270+970739788*p^107*q^1272+12413316186*p^105*q^1274+ 144408240816*p^103*q^1276+1552037843799*p^101*q^1278+15077847689006*p^99*q^1280 +121690534328537*p^97*q^1282+612408853689016*p^95*q^1284+1232107296284234*p^93* q^1286+741643325361924*p^91*q^1288+165232799220880*p^89*q^1290+21330026989092*p ^87*q^1292+2233645712689*p^85*q^1294+211007868494*p^83*q^1296+18471692581*p^81* q^1298+1451854178*p^79*q^1300+119132696*p^77*q^1302+4924190*p^75*q^1304+797910* p^73*q^1306+27980*p^71*q^1308+44*p^69*q^1310+408*p^116*q^1262+4948*p^114*q^1264 +265404*p^112*q^1266+15724256*p^110*q^1268+209370710*p^108*q^1270+3422064326*p^ 106*q^1272+40484824860*p^104*q^1274+452301067977*p^102*q^1276+4661018667400*p^ 100*q^1278+42180291227591*p^98*q^1280+286340263278640*p^96*q^1282+ 982811056096310*p^94*q^1284+1123459397741598*p^92*q^1286+399012596155222*p^90*q ^1288+64988563613314*p^88*q^1290+7385990842928*p^86*q^1292+733887425404*p^84*q^ 1294+66510570173*p^82*q^1296+5621631120*p^80*q^1298+421510124*p^78*q^1300+ 30066364*p^76*q^1302+804180*p^74*q^1304+310588*p^72*q^1306+296*p^70*q^1308+8*p^ 117*q^1260+7320*p^115*q^1262+24478*p^113*q^1264+2172362*p^111*q^1266+50852000*p ^109*q^1268+837915685*p^107*q^1270+11082596490*p^105*q^1272+129245031839*p^103* q^1274+1389905321572*p^101*q^1276+13612548406651*p^99*q^1278+110827465286364*p^ 97*q^1280+578379823110268*p^95*q^1282+1219528431382114*p^93*q^1284+ 780725962702759*p^91*q^1286+179631666114868*p^89*q^1288+23665752593214*p^87*q^ 1290+2485545208478*p^85*q^1292+236577798543*p^83*q^1294+20663220286*p^81*q^1296 +1654396260*p^79*q^1298+132492608*p^77*q^1300+5775756*p^75*q^1302+482432*p^73*q ^1304+41550*p^71*q^1306+24*p^116*q^1260+13800*p^114*q^1262+192442*p^112*q^1264+ 13251412*p^110*q^1266+181416120*p^108*q^1268+3028509582*p^106*q^1270+ 35996947286*p^104*q^1272+404921466116*p^102*q^1274+4180591744575*p^100*q^1276+ 38258091740876*p^98*q^1278+263825949519270*p^96*q^1280+950079879699248*p^94*q^ 1282+1143545172449305*p^92*q^1284+428722487747072*p^90*q^1286+71365615768831*p^ 88*q^1288+8221844554376*p^86*q^1290+818940439742*p^84*q^1292+74643595880*p^82*q ^1294+6357586044*p^80*q^1296+467066946*p^78*q^1298+37143420*p^76*q^1300+1059288 *p^74*q^1302+401654*p^72*q^1304+2528*p^70*q^1306+5280*p^115*q^1260+22794*p^113* q^1262+1528994*p^111*q^1264+49191769*p^109*q^1266+724195224*p^107*q^1268+ 9918146340*p^105*q^1270+115396257522*p^103*q^1272+1247006027574*p^101*q^1274+ 12243962010356*p^99*q^1276+101280265778929*p^97*q^1278+542124509432422*p^95*q^ 1280+1211233783699319*p^93*q^1282+815435554000196*p^91*q^1284+195910186904819*p ^89*q^1286+26148740213656*p^87*q^1288+2772904573263*p^85*q^1290+264328201892*p^ 83*q^1292+23189733394*p^81*q^1294+1871363774*p^79*q^1296+145216794*p^77*q^1298+ 7467960*p^75*q^1300+239814*p^73*q^1302+59198*p^71*q^1304+160*p^116*q^1258+27390 *p^114*q^1260+137886*p^112*q^1262+10635124*p^110*q^1264+158122008*p^108*q^1266+ 2654500821*p^106*q^1268+32054085138*p^104*q^1270+361652670271*p^102*q^1272+ 3759479226868*p^100*q^1274+34553759918287*p^98*q^1276+243974905100250*p^96*q^ 1278+910748216498965*p^94*q^1280+1167820340787426*p^92*q^1282+457421284748189*p ^90*q^1284+78599742677860*p^88*q^1286+9119870142976*p^86*q^1288+914970930284*p^ 84*q^1290+83670964033*p^82*q^1292+7137515272*p^80*q^1294+524813936*p^78*q^1296+ 44750072*p^76*q^1298+1239504*p^74*q^1300+299084*p^72*q^1302+7292*p^70*q^1304+ 948*p^115*q^1258+30860*p^113*q^1260+1184748*p^111*q^1262+44995006*p^109*q^1264+ 625855605*p^107*q^1266+8879720844*p^105*q^1268+103191629918*p^103*q^1270+ 1116750532520*p^101*q^1272+11048181190530*p^99*q^1274+92101840396784*p^97*q^ 1276+509901155121170*p^95*q^1278+1192093667221250*p^93*q^1280+854489878694259*p ^91*q^1282+212389531038184*p^89*q^1284+28986379369540*p^87*q^1286+3084981117840 *p^85*q^1288+296323175491*p^83*q^1290+25996939742*p^81*q^1292+2138245400*p^79*q ^1294+157735318*p^77*q^1296+9513904*p^75*q^1298+197316*p^73*q^1300+134165*p^71* q^1302+88*p^69*q^1304+16*p^116*q^1256+33220*p^114*q^1258+140348*p^112*q^1260+ 8066882*p^110*q^1262+147121273*p^108*q^1264+2337642342*p^106*q^1266+28565040580 *p^104*q^1268+324023016662*p^102*q^1270+3371252890795*p^100*q^1272+ 31301726377544*p^98*q^1274+224212004185919*p^96*q^1276+875864474861582*p^94*q^ 1278+1182002188887154*p^92*q^1280+489792007390902*p^90*q^1282+86169059655636*p^ 88*q^1284+10146939712420*p^86*q^1286+1020690291403*p^84*q^1288+93968696590*p^82 *q^1290+8035753240*p^80*q^1292+598075626*p^78*q^1294+51619674*p^76*q^1296+ 1632296*p^74*q^1298+169442*p^72*q^1300+5620*p^70*q^1302+1580*p^115*q^1256+72050 *p^113*q^1258+804592*p^111*q^1260+39816066*p^109*q^1262+534295772*p^107*q^1264+ 7888380055*p^105*q^1266+91904512958*p^103*q^1268+1000819726620*p^101*q^1270+ 9928218498418*p^99*q^1272+84002891322604*p^97*q^1274+476182541221674*p^95*q^ 1276+1177311104863430*p^93*q^1278+888099600249504*p^91*q^1280+231072214780832*p ^89*q^1282+31985235043472*p^87*q^1284+3438975398520*p^85*q^1286+330737232294*p^ 83*q^1288+29128881286*p^81*q^1290+2410854482*p^79*q^1292+167895518*p^77*q^1294+ 12557030*p^75*q^1296+227672*p^73*q^1298+135028*p^71*q^1300+872*p^69*q^1302+ 13834*p^114*q^1256+96544*p^112*q^1258+6167822*p^110*q^1260+135370036*p^108*q^ 1262+2039156670*p^106*q^1264+25535066552*p^104*q^1266+289553124432*p^102*q^1268 +3031539659948*p^100*q^1270+28248216926515*p^98*q^1272+206772256293834*p^96*q^ 1274+835715631189042*p^94*q^1276+1200288792403720*p^92*q^1278+520464171918944*p ^90*q^1280+94760238840660*p^88*q^1282+11247228657621*p^86*q^1284+1140328912532* p^84*q^1286+105302819722*p^82*q^1288+9011483802*p^80*q^1290+684585933*p^78*q^ 1292+57556294*p^76*q^1294+2033506*p^74*q^1296+52378*p^72*q^1298+27506*p^70*q^ 1300+528*p^115*q^1254+123352*p^113*q^1256+750606*p^111*q^1258+33865508*p^109*q^ 1260+470335268*p^107*q^1262+7038338474*p^105*q^1264+82104733229*p^103*q^1266+ 896089474214*p^101*q^1268+8953097415034*p^99*q^1270+76261460043376*p^97*q^1272+ 446092747347204*p^95*q^1274+1152523810531574*p^93*q^1276+925995417478018*p^91*q ^1278+249822783487872*p^89*q^1280+35428014784304*p^87*q^1282+3824731994828*p^85 *q^1284+370668232452*p^83*q^1286+32765239396*p^81*q^1288+2746082930*p^79*q^1290 +187113640*p^77*q^1292+16266536*p^75*q^1294+307832*p^73*q^1296+119438*p^71*q^ 1298+180*p^69*q^1300+11128*p^114*q^1254+161684*p^112*q^1256+4496418*p^110*q^ 1258+125058362*p^108*q^1260+1775589376*p^106*q^1262+22757284891*p^104*q^1264+ 259271370692*p^102*q^1266+2716397852214*p^100*q^1268+25567048616328*p^98*q^1270 +189523005625199*p^96*q^1272+799765080276408*p^94*q^1274+1208378471309303*p^92* q^1276+555072053741440*p^90*q^1278+103671057625897*p^88*q^1280+12505221295258*p ^86*q^1282+1270401333488*p^84*q^1284+118066152124*p^82*q^1286+10057524954*p^80* q^1288+783049480*p^78*q^1290+60036100*p^76*q^1292+2688004*p^74*q^1294+35812*p^ 72*q^1296+39244*p^70*q^1298+48*p^68*q^1300+80*p^115*q^1252+95360*p^113*q^1254+ 528212*p^111*q^1256+27271068*p^109*q^1258+415531432*p^107*q^1260+6223040099*p^ 105*q^1262+73119077050*p^103*q^1264+802867407836*p^101*q^1266+8041853442008*p^ 99*q^1268+69456845991644*p^97*q^1270+415068505994976*p^95*q^1272+ 1131834534573833*p^93*q^1274+957711097591770*p^91*q^1276+270994627087851*p^89*q ^1278+39050868288866*p^87*q^1280+4262879719813*p^85*q^1282+413856561412*p^83*q^ 1284+36819521445*p^81*q^1286+3101728840*p^79*q^1288+207857162*p^77*q^1290+ 19875558*p^75*q^1292+409006*p^73*q^1294+42580*p^71*q^1296+3041*p^69*q^1298+8*p^ 116*q^1250+6904*p^114*q^1252+302284*p^112*q^1254+3663062*p^110*q^1256+114054656 *p^108*q^1258+1545634882*p^106*q^1260+20383592640*p^104*q^1262+231675144393*p^ 102*q^1264+2442204159572*p^100*q^1266+23049566133025*p^98*q^1268+ 174371313050310*p^96*q^1270+759425107293573*p^94*q^1272+1220150785046154*p^92*q ^1274+587564991733384*p^90*q^1276+113797411058462*p^88*q^1278+13851395379072*p^ 86*q^1280+1419006950724*p^84*q^1282+132208747922*p^82*q^1284+11279399032*p^80*q ^1286+896086568*p^78*q^1288+64433770*p^76*q^1290+3986080*p^74*q^1292+43734*p^72 *q^1294+52488*p^70*q^1296+40*p^115*q^1250+66364*p^113*q^1252+510316*p^111*q^ 1254+21581508*p^109*q^1256+374586084*p^107*q^1258+5504148624*p^105*q^1260+ 65251869504*p^103*q^1262+718502149926*p^101*q^1264+7245824971444*p^99*q^1266+ 62956018000858*p^97*q^1268+387512696857218*p^95*q^1270+1101940439282900*p^93*q^ 1272+993441078053404*p^91*q^1274+292142885607564*p^89*q^1276+43195254964254*p^ 87*q^1278+4737092371882*p^85*q^1280+463323791469*p^83*q^1282+41369964490*p^81*q ^1284+3483251916*p^79*q^1286+239438560*p^77*q^1288+22030274*p^75*q^1290+439816* p^73*q^1292+6932*p^71*q^1294+7498*p^69*q^1296+1876*p^114*q^1250+369196*p^112*q^ 1252+2855204*p^110*q^1254+99500678*p^108*q^1256+1348736308*p^106*q^1258+ 18158127523*p^104*q^1260+207338145164*p^102*q^1262+2187873271767*p^100*q^1264+ 20844423636612*p^98*q^1266+159446510732834*p^96*q^1268+723530393451316*p^94*q^ 1270+1221326470425352*p^92*q^1272+623985905308994*p^90*q^1274+124264997669112*p ^88*q^1276+15389546865782*p^86*q^1278+1580669699528*p^84*q^1280+148260078550*p^ 82*q^1282+12646108335*p^80*q^1284+1036468866*p^78*q^1286+66093666*p^76*q^1288+ 5631396*p^74*q^1290+78384*p^72*q^1292+35724*p^70*q^1294+125*p^68*q^1296+160*p^ 115*q^1248+53284*p^113*q^1250+653006*p^111*q^1252+16972228*p^109*q^1254+ 343610568*p^107*q^1256+4848715976*p^105*q^1258+58245206328*p^103*q^1260+ 643923164945*p^101*q^1262+6506688600088*p^99*q^1264+57252940971586*p^97*q^1266+ 359279235851398*p^95*q^1268+1076496960043005*p^93*q^1270+1022037048363414*p^91* q^1272+315933572489950*p^89*q^1274+47562270987722*p^87*q^1276+5277183810502*p^ 85*q^1278+517065352918*p^83*q^1280+46497097306*p^81*q^1282+3895649740*p^79*q^ 1284+272704352*p^77*q^1286+24876446*p^75*q^1288+711786*p^73*q^1290+4022*p^71*q^ 1292+12784*p^69*q^1294+1208*p^114*q^1248+310996*p^112*q^1250+2315786*p^110*q^ 1252+84736800*p^108*q^1254+1174491544*p^106*q^1256+16190867362*p^104*q^1258+ 184871868418*p^102*q^1260+1964955918180*p^100*q^1262+18776844979391*p^98*q^1264 +146339433669236*p^96*q^1266+683893122261853*p^94*q^1268+1226609430623862*p^92* q^1270+657621430485526*p^90*q^1272+136118159977982*p^88*q^1274+17032424919657*p ^86*q^1276+1764593650926*p^84*q^1278+165794971428*p^82*q^1280+14208772620*p^80* q^1282+1176949696*p^78*q^1284+71488268*p^76*q^1286+6848420*p^74*q^1288+65004*p^ 72*q^1290+4670*p^70*q^1292+938*p^68*q^1294+20*p^115*q^1246+22212*p^113*q^1248+ 933876*p^111*q^1250+13599926*p^109*q^1252+311138991*p^107*q^1254+4274183978*p^ 105*q^1256+52073046383*p^103*q^1258+576476509610*p^101*q^1260+5860314483128*p^ 99*q^1262+51841134751122*p^97*q^1264+334293554357458*p^95*q^1266+ 1042410542544542*p^93*q^1268+1054856366111212*p^91*q^1270+339432744407774*p^89* q^1272+52536232374996*p^87*q^1274+5861881834456*p^85*q^1276+578416638442*p^83*q ^1278+52243846138*p^81*q^1280+4347953502*p^79*q^1282+322270218*p^77*q^1284+ 25518922*p^75*q^1286+1201902*p^73*q^1288+11426*p^71*q^1290+18768*p^69*q^1292+ 1464*p^114*q^1246+281976*p^112*q^1248+2143184*p^110*q^1250+70302082*p^108*q^ 1252+1048236378*p^106*q^1254+14406570494*p^104*q^1256+165383365370*p^102*q^1258 +1759927833875*p^100*q^1260+16964672132628*p^98*q^1262+133551362487630*p^96*q^ 1264+648558135058122*p^94*q^1266+1220729624613678*p^92*q^1268+695510765222706*p ^90*q^1270+148307699990180*p^88*q^1272+18914536868928*p^86*q^1274+1964980072824 *p^84*q^1276+186080550590*p^82*q^1278+15998386694*p^80*q^1280+1345316410*p^78*q ^1282+78828598*p^76*q^1284+8580026*p^74*q^1286+88934*p^72*q^1288+224*p^70*q^ 1290+1496*p^68*q^1292+16044*p^113*q^1246+1030260*p^111*q^1248+10721172*p^109*q^ 1250+279156356*p^107*q^1252+3733049661*p^105*q^1254+46413140108*p^103*q^1256+ 516266341259*p^101*q^1258+5258892530236*p^99*q^1260+47072218564635*p^97*q^1262+ 309014142828498*p^95*q^1264+1012871487356291*p^93*q^1266+1079392810389654*p^91* q^1268+365966834633181*p^89*q^1270+57754203439510*p^87*q^1272+6523995864555*p^ 85*q^1274+645137841310*p^83*q^1276+58527955414*p^81*q^1278+4837822408*p^79*q^ 1280+372009416*p^77*q^1282+24747752*p^75*q^1284+1671172*p^73*q^1286+11056*p^71* q^1288+4494*p^69*q^1290+58*p^67*q^1292+632*p^114*q^1244+166608*p^112*q^1246+ 2168710*p^110*q^1248+57511558*p^108*q^1250+931582446*p^106*q^1252+12808229076*p ^104*q^1254+147602953111*p^102*q^1256+1580427212464*p^100*q^1258+15272028073267 *p^98*q^1260+122310687384280*p^96*q^1262+610550940613342*p^94*q^1264+ 1218989253744448*p^92*q^1266+729586392447813*p^90*q^1268+162115458153704*p^88*q ^1270+20912476382884*p^86*q^1272+2193318337628*p^84*q^1274+207914105043*p^82*q^ 1276+18058767746*p^80*q^1278+1507649696*p^78*q^1280+91289238*p^76*q^1282+ 10227190*p^74*q^1284+180684*p^72*q^1286+968*p^70*q^1288+5752*p^68*q^1290+10432* p^113*q^1244+1074818*p^111*q^1246+9417496*p^109*q^1248+246282237*p^107*q^1250+ 3293248780*p^105*q^1252+41550851659*p^103*q^1254+461884951580*p^101*q^1256+ 4734995103746*p^99*q^1258+42573330695930*p^97*q^1260+286571399614198*p^95*q^ 1262+975907314014134*p^93*q^1264+1107991741235919*p^91*q^1266+391833377660184*p ^89*q^1268+63725004421293*p^87*q^1270+7243945859050*p^85*q^1272+721675590618*p^ 83*q^1274+65795519508*p^81*q^1276+5420301468*p^79*q^1278+439144134*p^77*q^1280+ 24955624*p^75*q^1282+2221824*p^73*q^1284+7544*p^71*q^1286+8*p^69*q^1288+56*p^67 *q^1290+108*p^114*q^1242+124308*p^112*q^1244+2631950*p^110*q^1246+46093918*p^ 108*q^1248+842540862*p^106*q^1250+11338895895*p^104*q^1252+131905750496*p^102*q ^1254+1415000124477*p^100*q^1256+13787170532064*p^98*q^1258+111391881483535*p^ 96*q^1260+576490941658266*p^94*q^1262+1206636789076766*p^92*q^1264+ 768069760220634*p^90*q^1266+176178732458895*p^88*q^1268+23201236764256*p^86*q^ 1270+2439608844101*p^84*q^1272+232947136328*p^82*q^1274+20284834187*p^80*q^1276 +1683668784*p^78*q^1278+106583236*p^76*q^1280+10331146*p^74*q^1282+313196*p^72* q^1284+1700*p^70*q^1286+2888*p^68*q^1288+7532*p^113*q^1242+841958*p^111*q^1244+ 7451840*p^109*q^1246+211638322*p^107*q^1248+2880405948*p^105*q^1250+37000652478 *p^103*q^1252+413483632566*p^101*q^1254+4246707540616*p^99*q^1256+ 38619127302601*p^97*q^1258+264118168368126*p^95*q^1260+943266537396659*p^93*q^ 1262+1127824435544428*p^91*q^1264+420930265608202*p^89*q^1266+69946351310886*p^ 87*q^1268+8060643824388*p^85*q^1270+804878623264*p^83*q^1272+73739355289*p^81*q ^1274+6090198404*p^79*q^1276+505377072*p^77*q^1278+25386844*p^75*q^1280+3229790 *p^73*q^1282+18108*p^71*q^1284+34*p^69*q^1286+944*p^67*q^1288+56*p^114*q^1240+ 78808*p^112*q^1242+3039930*p^110*q^1244+39470218*p^108*q^1246+759481778*p^106*q ^1248+10068727002*p^104*q^1250+117879991417*p^102*q^1252+1270695151614*p^100*q^ 1254+12404816355527*p^98*q^1256+101835856203612*p^96*q^1258+540433610382089*p^ 94*q^1260+1198025396490732*p^92*q^1262+802097298466842*p^90*q^1264+ 192117344222540*p^88*q^1266+25628187472891*p^86*q^1268+2721954540904*p^84*q^ 1270+260295058939*p^82*q^1272+22910960516*p^80*q^1274+1860796808*p^78*q^1276+ 128687812*p^76*q^1278+10272576*p^74*q^1280+429060*p^72*q^1282+524*p^70*q^1284+2 *p^117*q^1236+8*p^115*q^1238+2868*p^113*q^1240+658596*p^111*q^1242+7229446*p^ 109*q^1244+177306809*p^107*q^1246+2550475544*p^105*q^1248+33025234665*p^103*q^ 1250+369508235414*p^101*q^1252+3820562153990*p^99*q^1254+34880664636224*p^97*q^ 1256+244256703349953*p^95*q^1258+904214567258234*p^93*q^1260+1151371933994803*p ^91*q^1262+449115836283530*p^89*q^1264+77042419366295*p^87*q^1266+8942327402132 *p^85*q^1268+899832631473*p^83*q^1270+82664556640*p^81*q^1272+6847372273*p^79*q ^1274+580799054*p^77*q^1276+28295860*p^75*q^1278+3829830*p^73*q^1280+40456*p^71 *q^1282+150*p^69*q^1284+1148*p^67*q^1286+55026*p^112*q^1240+2992332*p^110*q^ 1242+31964302*p^108*q^1244+679139094*p^106*q^1246+8879281878*p^104*q^1248+ 105396989658*p^102*q^1250+1137673372985*p^100*q^1252+11192207786096*p^98*q^1254 +92586709348436*p^96*q^1256+508342957715754*p^94*q^1258+1179179714297989*p^92*q ^1260+840288447463990*p^90*q^1262+208273777269953*p^88*q^1264+28403589871708*p^ 86*q^1266+3026686895458*p^84*q^1268+291583723246*p^82*q^1270+25738387435*p^80*q ^1272+2070569428*p^78*q^1274+153848082*p^76*q^1276+8969912*p^74*q^1278+712180*p ^72*q^1280+1080*p^70*q^1282+64*p^66*q^1286+8*p^117*q^1234+1424*p^113*q^1238+ 510798*p^111*q^1240+7704924*p^109*q^1242+150868958*p^107*q^1244+2276147935*p^ 105*q^1246+29421700056*p^103*q^1248+330883716446*p^101*q^1250+3426078951504*p^ 99*q^1252+31607053761862*p^97*q^1254+224461328805388*p^95*q^1256+ 869725593071309*p^93*q^1258+1165369366331714*p^91*q^1260+480686881874137*p^89*q ^1262+84437476873980*p^87*q^1264+9946102349667*p^85*q^1266+1003111423302*p^83*q ^1268+92679734962*p^81*q^1270+7756720820*p^79*q^1272+653918678*p^77*q^1274+ 33110192*p^75*q^1276+4469776*p^73*q^1278+68376*p^71*q^1280+32*p^69*q^1282+28*p^ 116*q^1234+144*p^114*q^1236+34424*p^112*q^1238+2581104*p^110*q^1240+26421520*p^ 108*q^1242+595942203*p^106*q^1244+7814403518*p^104*q^1246+94041078398*p^102*q^ 1248+1020307453776*p^100*q^1250+10063217737255*p^98*q^1252+84479086511694*p^96* q^1254+474685989748294*p^94*q^1256+1164541653349768*p^92*q^1258+873218238653498 *p^90*q^1260+226494147366326*p^88*q^1262+31343613462857*p^86*q^1264+ 3374069702168*p^84*q^1266+325647559120*p^82*q^1268+28923264556*p^80*q^1270+ 2282814800*p^78*q^1272+182122774*p^76*q^1274+8378386*p^74*q^1276+1011932*p^72*q ^1278+3000*p^70*q^1280+4*p^68*q^1282+274*p^66*q^1284+212*p^113*q^1236+325972*p^ 111*q^1238+8250362*p^109*q^1240+127191204*p^107*q^1242+2035264884*p^105*q^1244+ 26265746550*p^103*q^1246+295831020894*p^101*q^1248+3082288919477*p^99*q^1250+ 28528454472972*p^97*q^1252+207033297344899*p^95*q^1254+829586196382952*p^93*q^ 1256+1183349840552984*p^91*q^1258+510779350470046*p^89*q^1260+92841461575949*p^ 87*q^1262+11026680216820*p^85*q^1264+1120901093120*p^83*q^1266+103810859184*p^ 81*q^1268+8794184936*p^79*q^1270+730106442*p^77*q^1272+41441346*p^75*q^1274+ 4167216*p^73*q^1276+107964*p^71*q^1278+22*p^69*q^1280+136*p^116*q^1232+20*p^114 *q^1234+18902*p^112*q^1236+2372486*p^110*q^1238+23944342*p^108*q^1240+520975734 *p^106*q^1242+6921711395*p^104*q^1244+84068200890*p^102*q^1246+913377772959*p^ 100*q^1248+9071450916084*p^98*q^1250+76697344059218*p^96*q^1252+444716019538200 *p^94*q^1254+1139781355683807*p^92*q^1256+910510702003564*p^90*q^1258+ 244861581837373*p^88*q^1260+34705170014842*p^86*q^1262+3751749793353*p^84*q^ 1264+364927978652*p^82*q^1266+32505767702*p^80*q^1268+2558597780*p^78*q^1270+ 217591480*p^76*q^1272+8235488*p^74*q^1274+1482030*p^72*q^1276+8572*p^70*q^1278+ 158*p^115*q^1232+1208*p^113*q^1234+254756*p^111*q^1236+7907428*p^109*q^1238+ 104783476*p^107*q^1240+1818283163*p^105*q^1242+23256653654*p^103*q^1244+ 264722014848*p^101*q^1246+2762011774292*p^99*q^1248+25821279687646*p^97*q^1250+ 189803889811896*p^95*q^1252+794058078710575*p^93*q^1254+1190998611306290*p^91*q ^1256+544663690442055*p^89*q^1258+101539484971438*p^87*q^1260+12252709826540*p^ 85*q^1262+1248015838486*p^83*q^1264+116201119189*p^81*q^1266+9902740966*p^79*q^ 1268+796975250*p^77*q^1270+49022410*p^75*q^1272+3561442*p^73*q^1274+179880*p^71 *q^1276+120*p^69*q^1278+36*p^65*q^1282+8*p^116*q^1230+6176*p^112*q^1234+1672274 *p^110*q^1236+22706796*p^108*q^1238+450538958*p^106*q^1240+6115542052*p^104*q^ 1242+75089748225*p^102*q^1244+819106466700*p^100*q^1246+8153770580244*p^98*q^ 1248+69867156529412*p^96*q^1250+413879224594238*p^94*q^1252+1119307943719208*p^ 92*q^1254+941277917495468*p^90*q^1256+265572092771724*p^88*q^1258+ 38250564282801*p^86*q^1260+4181635765968*p^84*q^1262+407631714747*p^82*q^1264+ 36507414414*p^80*q^1266+2895764156*p^78*q^1268+251608688*p^76*q^1270+9861454*p^ 74*q^1272+1742844*p^72*q^1274+12968*p^70*q^1276+1008*p^115*q^1230+628*p^113*q^ 1232+165100*p^111*q^1234+8009984*p^109*q^1236+89689492*p^107*q^1238+1625772696* p^105*q^1240+20731278301*p^103*q^1242+236662061716*p^101*q^1244+2484118498574*p ^99*q^1246+23285530285780*p^97*q^1248+174602391780061*p^95*q^1250+ 753993828168656*p^93*q^1252+1202541281774978*p^91*q^1254+576370977924272*p^89*q ^1256+111467987088341*p^87*q^1258+13574188574156*p^85*q^1260+1394180877761*p^83 *q^1262+130217266532*p^81*q^1264+11222215628*p^79*q^1266+867581962*p^77*q^1268+ 62830754*p^75*q^1270+2923648*p^73*q^1272+320296*p^71*q^1274+592*p^69*q^1276+8*p ^116*q^1228+464*p^114*q^1230+6980*p^112*q^1232+1365464*p^110*q^1234+22011812*p^ 108*q^1236+383455686*p^106*q^1238+5428627998*p^104*q^1240+67007239970*p^102*q^ 1242+732779491356*p^100*q^1244+7346278081686*p^98*q^1246+63331272952078*p^96*q^ 1248+386320809945984*p^94*q^1250+1089850496894373*p^92*q^1252+976432371098592*p ^90*q^1254+286201308989259*p^88*q^1256+42303781291576*p^86*q^1258+4645016359254 *p^84*q^1260+456079761712*p^82*q^1262+40869231932*p^80*q^1264+3273774658*p^78*q ^1266+286586282*p^76*q^1268+11406566*p^74*q^1270+1655016*p^72*q^1272+20880*p^70 *q^1274+4*p^68*q^1276+2*p^64*q^1280+340*p^115*q^1228+88*p^113*q^1230+81554*p^ 111*q^1232+6773496*p^109*q^1234+76267040*p^107*q^1236+1443299212*p^105*q^1238+ 18322326404*p^103*q^1240+211778343242*p^101*q^1242+2225209338868*p^99*q^1244+ 21060169574833*p^97*q^1246+159707419797406*p^95*q^1248+718277974368707*p^93*q^ 1250+1203743809906400*p^91*q^1252+612000679945408*p^89*q^1254+121654543687026*p ^87*q^1256+15077714608499*p^85*q^1258+1552076289274*p^83*q^1260+146034225690*p^ 81*q^1262+12628971426*p^79*q^1264+954714002*p^77*q^1266+76063930*p^75*q^1268+ 2432756*p^73*q^1270+527580*p^71*q^1272+1588*p^69*q^1274+4172*p^114*q^1228+7664* p^112*q^1230+1027268*p^110*q^1232+22122364*p^108*q^1234+329876043*p^106*q^1236+ 4839848342*p^104*q^1238+59837378942*p^102*q^1240+657246640696*p^100*q^1242+ 6600085902512*p^98*q^1244+57619514555624*p^96*q^1246+358264410269065*p^94*q^ 1248+1064384150849756*p^92*q^1250+1004421077200568*p^90*q^1252+309450833958314* p^88*q^1254+46567045720596*p^86*q^1256+5174882206100*p^84*q^1258+509120015303*p ^82*q^1260+45825585860*p^80*q^1262+3738862736*p^78*q^1264+313728146*p^76*q^1266 +15084196*p^74*q^1268+1561468*p^72*q^1270+40660*p^70*q^1272+12*p^68*q^1274+144* p^115*q^1226+872*p^113*q^1228+46018*p^111*q^1230+5721092*p^109*q^1232+68713630* p^107*q^1234+1264226288*p^105*q^1236+16260312924*p^103*q^1238+189159987008*p^ 101*q^1240+1999660764433*p^99*q^1242+18972388289340*p^97*q^1244+146597590922918 *p^95*q^1246+678940345205810*p^93*q^1248+1208523151873118*p^91*q^1250+ 644961778703890*p^89*q^1252+133262440638135*p^87*q^1254+16685830744806*p^85*q^ 1256+1733173516571*p^83*q^1258+163499821282*p^81*q^1260+14239093821*p^79*q^1262 +1052126910*p^77*q^1264+93632596*p^75*q^1266+2455550*p^73*q^1268+572414*p^71*q^ 1270+1356*p^69*q^1272+3752*p^114*q^1226+2200*p^112*q^1228+655400*p^110*q^1230+ 21346540*p^108*q^1232+278375562*p^106*q^1234+4329066089*p^104*q^1236+ 53392632744*p^102*q^1238+588043804936*p^100*q^1240+5944133172790*p^98*q^1242+ 52164685360277*p^96*q^1244+333366608014276*p^94*q^1246+1030767865836267*p^92*q^ 1248+1036395393045926*p^90*q^1250+332467122392076*p^88*q^1252+51427071464520*p^ 86*q^1254+5746238440728*p^84*q^1256+569249664718*p^82*q^1258+51358681192*p^80*q ^1260+4249386590*p^78*q^1262+342335928*p^76*q^1264+19317374*p^74*q^1266+1040792 *p^72*q^1268+109888*p^70*q^1270+144*p^68*q^1272+32*p^115*q^1224+10376*p^113*q^ 1226+55984*p^111*q^1228+4834330*p^109*q^1230+62968850*p^107*q^1232+1108737224*p ^105*q^1234+14385759980*p^103*q^1236+169228452193*p^101*q^1238+1791120344718*p^ 99*q^1240+17145689045684*p^97*q^1242+133783782176826*p^95*q^1244+ 644001364121629*p^93*q^1246+1202805551167812*p^91*q^1248+681830276610715*p^89*q ^1250+145150782945484*p^87*q^1252+18521857401556*p^85*q^1254+1928679258086*p^83 *q^1256+183414806418*p^81*q^1258+15953689226*p^79*q^1260+1193370283*p^77*q^1262 +108857612*p^75*q^1264+2991710*p^73*q^1266+713432*p^71*q^1268+2564*p^69*q^1270+ 1532*p^114*q^1224+2868*p^112*q^1226+371274*p^110*q^1228+19225778*p^108*q^1230+ 240155970*p^106*q^1232+3854548420*p^104*q^1234+47526251431*p^102*q^1236+ 527026282704*p^100*q^1238+5337031312840*p^98*q^1240+47388791351972*p^96*q^1242+ 308158799962845*p^94*q^1244+1001588926184980*p^92*q^1246+1060352209864111*p^90* q^1248+358282161353788*p^88*q^1250+56533880024455*p^86*q^1252+6395813135604*p^ 84*q^1254+634815979888*p^82*q^1256+57595029650*p^80*q^1258+4830873637*p^78*q^ 1260+358861008*p^76*q^1262+25004732*p^74*q^1264+685842*p^72*q^1266+133160*p^70* q^1268+28*p^68*q^1270+19406*p^113*q^1224+26870*p^111*q^1226+3619084*p^109*q^ 1228+60212716*p^107*q^1230+958714250*p^105*q^1232+12802934687*p^103*q^1234+ 151225128016*p^101*q^1236+1609215738015*p^99*q^1238+15440470235508*p^97*q^1240+ 122551779642436*p^95*q^1242+606085957526450*p^93*q^1244+1201034993825408*p^91*q ^1246+715210360471544*p^89*q^1248+158626559479210*p^87*q^1250+20481257794926*p^ 85*q^1252+2153061115227*p^83*q^1254+205263374792*p^81*q^1256+17926591196*p^79*q ^1258+1359827570*p^77*q^1260+126572727*p^75*q^1262+4165938*p^73*q^1264+617586*p ^71*q^1266+14596*p^69*q^1268+4*p^67*q^1270+872*p^114*q^1222+16418*p^112*q^1224+ 323760*p^110*q^1226+17836438*p^108*q^1228+209366858*p^106*q^1230+3437762985*p^ 104*q^1232+42338614274*p^102*q^1234+471491329957*p^100*q^1236+4804213522656*p^ 98*q^1238+42856692834146*p^96*q^1240+285803039236372*p^94*q^1242+ 964829166907085*p^92*q^1244+1088510075605980*p^90*q^1246+383578632197189*p^88*q ^1248+62354236475864*p^86*q^1250+7099732935454*p^84*q^1252+709756189886*p^82*q^ 1254+64664626361*p^80*q^1256+5474415688*p^78*q^1258+389026842*p^76*q^1260+ 31913126*p^74*q^1262+541598*p^72*q^1264+207552*p^70*q^1266+48*p^68*q^1268+8*p^ 115*q^1220+11892*p^113*q^1222+22676*p^111*q^1224+2476088*p^109*q^1226+55763528* p^107*q^1228+827628224*p^105*q^1230+11366036232*p^103*q^1232+135186928216*p^101 *q^1234+1440691319480*p^99*q^1236+13939324831593*p^97*q^1238+111645804102858*p^ 95*q^1240+572408784661923*p^93*q^1242+1188594475711948*p^91*q^1244+ 752828219257355*p^89*q^1246+172340850242198*p^87*q^1248+22709596766719*p^85*q^ 1250+2393830128526*p^83*q^1252+229785939636*p^81*q^1254+20009088858*p^79*q^1256 +1557071358*p^77*q^1258+135370572*p^75*q^1260+5311482*p^73*q^1262+376968*p^71*q ^1264+22760*p^69*q^1266+48*p^114*q^1220+55716*p^112*q^1222+217108*p^110*q^1224+ 14869814*p^108*q^1226+185240750*p^106*q^1228+3032611222*p^104*q^1230+ 37581286540*p^102*q^1232+422382996172*p^100*q^1234+4311674727160*p^98*q^1236+ 38887669738210*p^96*q^1238+263477061017110*p^94*q^1240+932621457072554*p^92*q^ 1242+1107505255993488*p^90*q^1244+411995456715578*p^88*q^1246+68426441966284*p^ 86*q^1248+7899237701942*p^84*q^1250+791614104639*p^82*q^1252+72654632214*p^80*q ^1254+6184968286*p^78*q^1256+425970012*p^76*q^1258+40188818*p^74*q^1260+767566* p^72*q^1262+273572*p^70*q^1264+996*p^68*q^1266+9068*p^113*q^1220+26616*p^111*q^ 1222+1790616*p^109*q^1224+54262514*p^107*q^1226+721815946*p^105*q^1228+ 10187917015*p^103*q^1230+120914417172*p^101*q^1232+1294588998509*p^99*q^1234+ 12547236158946*p^97*q^1236+102058485553069*p^95*q^1238+536634072944546*p^93*q^ 1240+1180039852320640*p^91*q^1242+785922924682162*p^89*q^1244+187929645107491*p ^87*q^1246+25088791395558*p^85*q^1248+2671433788895*p^83*q^1250+256881531362*p^ 81*q^1252+22501795899*p^79*q^1254+1795332540*p^77*q^1256+142892220*p^75*q^1258+ 7553722*p^73*q^1260+181592*p^71*q^1262+33920*p^69*q^1264+176*p^114*q^1218+58350 *p^112*q^1220+162222*p^110*q^1222+12024990*p^108*q^1224+165645192*p^106*q^1226+ 2662652026*p^104*q^1228+33388076396*p^102*q^1230+377381420198*p^100*q^1232+ 3878504174868*p^98*q^1234+35124731390659*p^96*q^1236+243620659091662*p^94*q^ 1238+894078384691779*p^92*q^1240+1130682376787988*p^90*q^1242+439425157617395*p ^88*q^1244+75362835358202*p^86*q^1246+8760359524621*p^84*q^1248+884244409480*p^ 82*q^1250+81564066759*p^80*q^1252+6938424966*p^78*q^1254+476874396*p^76*q^1256+ 48507356*p^74*q^1258+919626*p^72*q^1260+220180*p^70*q^1262+3180*p^68*q^1264+ 2174*p^113*q^1218+99200*p^111*q^1220+1345716*p^109*q^1222+48851260*p^107*q^1224 +622952666*p^105*q^1226+9063795834*p^103*q^1228+107949483625*p^101*q^1230+ 1159112236900*p^99*q^1232+11322221802830*p^97*q^1234+92820505783166*p^95*q^1236 +504737368495053*p^93*q^1238+1161598040302774*p^91*q^1240+823238737004391*p^89* q^1242+203625745362622*p^87*q^1244+27794696992136*p^85*q^1246+2968602228232*p^ 83*q^1248+287522080289*p^81*q^1250+25147516776*p^79*q^1252+2056078360*p^77*q^ 1254+148547178*p^75*q^1256+9858828*p^73*q^1258+124344*p^71*q^1260+75548*p^69*q^ 1262+20*p^67*q^1264+24*p^114*q^1216+53732*p^112*q^1218+125976*p^110*q^1220+ 9008840*p^108*q^1222+154693074*p^106*q^1224+2347274262*p^104*q^1226+29709312017 *p^102*q^1228+338396306452*p^100*q^1230+3479670712226*p^98*q^1232+ 31843621545172*p^96*q^1234+223954387842438*p^94*q^1236+859781128639258*p^92*q^ 1238+1144303471192182*p^90*q^1240+470213125680464*p^88*q^1242+82561499767390*p^ 86*q^1244+9744251344822*p^84*q^1246+986152219596*p^82*q^1248+91623502216*p^80*q ^1250+7799568504*p^78*q^1252+550564990*p^76*q^1254+53890316*p^74*q^1256+1451728 *p^72*q^1258+137250*p^70*q^1260+2564*p^68*q^1262+1814*p^113*q^1216+173108*p^111 *q^1218+971130*p^109*q^1220+43831784*p^107*q^1222+543070618*p^105*q^1224+ 8060679096*p^103*q^1226+96257595640*p^101*q^1228+1040093578697*p^99*q^1230+ 10182285865300*p^97*q^1232+84710289610341*p^95*q^1234+471347091501256*p^93*q^ 1236+1146783213917964*p^91*q^1238+855442046513692*p^89*q^1240+221435333729357*p ^87*q^1242+30668966632346*p^85*q^1244+3310414771004*p^83*q^1246+320972966754*p^ 81*q^1248+28312606145*p^79*q^1250+2342682744*p^77*q^1252+153371084*p^75*q^1254+ 13857152*p^73*q^1256+138994*p^71*q^1258+84948*p^69*q^1260+296*p^67*q^1262+27560 *p^112*q^1216+160652*p^110*q^1218+6931176*p^108*q^1220+143102954*p^106*q^1222+ 2049826437*p^104*q^1224+26515995026*p^102*q^1226+302504286110*p^100*q^1228+ 3130415917696*p^98*q^1230+28737494455530*p^96*q^1232+206575716182442*p^94*q^ 1234+820189519661118*p^92*q^1236+1161648427460112*p^90*q^1238+499646393817522*p ^88*q^1240+90760392427394*p^86*q^1242+10797682993746*p^84*q^1244+1101392300540* p^82*q^1246+102734948035*p^80*q^1248+8711072324*p^78*q^1250+638139358*p^76*q^ 1252+58632844*p^74*q^1254+1882012*p^72*q^1256+38980*p^70*q^1258+12260*p^68*q^ 1260+806*p^113*q^1214+204638*p^111*q^1216+801588*p^109*q^1218+36929546*p^107*q^ 1220+478465802*p^105*q^1222+7162093222*p^103*q^1224+85803025408*p^101*q^1226+ 931133658294*p^99*q^1228+9181379480055*p^97*q^1230+76908114401800*p^95*q^1232+ 441706664821755*p^93*q^1234+1122505489686328*p^91*q^1236+891631481434005*p^89*q ^1238+239318782494576*p^87*q^1240+33945313408491*p^85*q^1242+3678856334216*p^83 *q^1244+359284137452*p^81*q^1246+31823652166*p^79*q^1248+2669059198*p^77*q^1250 +167119510*p^75*q^1252+17266358*p^73*q^1254+222420*p^71*q^1256+83168*p^69*q^ 1258+52*p^67*q^1260+14008*p^112*q^1214+345832*p^110*q^1216+5126144*p^108*q^1218 +131933990*p^106*q^1220+1791077114*p^104*q^1222+23587143004*p^102*q^1224+ 270971737692*p^100*q^1226+2807097503580*p^98*q^1228+26024559702268*p^96*q^1230+ 189404951926051*p^94*q^1232+785128310528220*p^92*q^1234+1169038911818553*p^90*q ^1236+532510255141228*p^88*q^1238+99252542149679*p^86*q^1240+11997568633490*p^ 84*q^1242+1226221685352*p^82*q^1244+115094110082*p^80*q^1246+9705072576*p^78*q^ 1248+737122302*p^76*q^1250+58199420*p^74*q^1252+2887750*p^72*q^1254+19728*p^70* q^1256+19772*p^68*q^1258+12*p^66*q^1260+80*p^113*q^1212+169990*p^111*q^1214+ 560010*p^109*q^1216+29754380*p^107*q^1218+429896154*p^105*q^1220+6346290202*p^ 103*q^1222+76479474318*p^101*q^1224+835548819491*p^99*q^1226+8254942673218*p^97 *q^1228+70078603465180*p^95*q^1230+410980672535156*p^93*q^1232+1102314860393068 *p^91*q^1234+921689661197342*p^89*q^1236+259486373683377*p^87*q^1238+ 37415018979052*p^85*q^1240+4100754502267*p^83*q^1242+401482808580*p^81*q^1244+ 35945289087*p^79*q^1246+3021397928*p^77*q^1248+187390596*p^75*q^1250+21128940*p ^73*q^1252+313256*p^71*q^1254+34880*p^69*q^1256+1020*p^67*q^1258+8*p^114*q^1210 +10920*p^112*q^1212+519752*p^110*q^1214+4277480*p^108*q^1216+121926232*p^106*q^ 1218+1565281864*p^104*q^1220+21092066350*p^102*q^1222+242197966485*p^100*q^1224 +2524212717832*p^98*q^1226+23469471484755*p^96*q^1228+174259658819324*p^94*q^ 1230+745367688513620*p^92*q^1232+1180423244501060*p^90*q^1234+563485642622512*p ^88*q^1236+108911402502702*p^86*q^1238+13288772877636*p^84*q^1240+1369476386058 *p^82*q^1242+128797880412*p^80*q^1244+10878688950*p^78*q^1246+859767552*p^76*q^ 1248+59849316*p^74*q^1250+4242650*p^72*q^1252+24848*p^70*q^1254+29472*p^68*q^ 1256+84*p^113*q^1210+94568*p^111*q^1212+726118*p^109*q^1214+23435926*p^107*q^ 1216+383852766*p^105*q^1218+5599833494*p^103*q^1220+68102262694*p^101*q^1222+ 747478998878*p^99*q^1224+7437291648111*p^97*q^1226+63541151475440*p^95*q^1228+ 383713493862505*p^93*q^1230+1073116256271518*p^91*q^1232+956033288225750*p^89*q ^1234+279565210612294*p^87*q^1236+41354629396974*p^85*q^1238+4553288418254*p^83 *q^1240+448725525631*p^81*q^1242+40377744074*p^79*q^1244+3363653246*p^77*q^1246 +213828604*p^75*q^1248+22523470*p^73*q^1250+411070*p^71*q^1252+4452*p^69*q^1254 +2788*p^67*q^1256+2396*p^112*q^1210+616008*p^110*q^1212+3021244*p^108*q^1214+ 105337700*p^106*q^1216+1375594382*p^104*q^1218+18748602053*p^102*q^1220+ 216767223330*p^100*q^1222+2263226681935*p^98*q^1224+21235580757468*p^96*q^1226+ 159446618920872*p^94*q^1228+710176447713940*p^92*q^1230+1181134362100583*p^90*q ^1232+598190678530962*p^88*q^1234+118835712340364*p^86*q^1236+14757222970130*p^ 84*q^1238+1524675876275*p^82*q^1240+144360266408*p^80*q^1242+12207256776*p^78*q ^1244+1002747466*p^76*q^1246+59823862*p^74*q^1248+5950102*p^72*q^1250+50090*p^ 70*q^1252+24188*p^68*q^1254+28*p^66*q^1256+140*p^113*q^1208+81564*p^111*q^1210+ 1030776*p^109*q^1212+19395112*p^107*q^1214+357913466*p^105*q^1216+4947811832*p^ 103*q^1218+60858489848*p^101*q^1220+670930710131*p^99*q^1222+6684597207296*p^97 *q^1224+57808807371328*p^95*q^1226+355885403079242*p^93*q^1228+1047961798111333 *p^91*q^1230+983070289909354*p^89*q^1232+302264167160949*p^87*q^1234+ 45524238739364*p^85*q^1236+5072910834505*p^83*q^1238+501148055338*p^81*q^1240+ 45504500445*p^79*q^1242+3762953298*p^77*q^1244+250445886*p^75*q^1246+24501568*p ^73*q^1248+773594*p^71*q^1250+1712*p^69*q^1252+5544*p^67*q^1254+1768*p^112*q^ 1208+466318*p^110*q^1210+2623366*p^108*q^1212+89758098*p^106*q^1214+1199933034* p^104*q^1216+16708868802*p^102*q^1218+193230049880*p^100*q^1220+2033555151130*p ^98*q^1222+19131756862546*p^96*q^1224+146338028902384*p^94*q^1226+ 671331810962694*p^92*q^1228+1185924604708216*p^90*q^1230+630204735937863*p^88*q ^1232+130155520309656*p^86*q^1234+16326186680715*p^84*q^1236+1701608598098*p^82 *q^1238+161381897194*p^80*q^1240+13777672618*p^78*q^1242+1140687400*p^76*q^1244 +62665828*p^74*q^1246+7177694*p^72*q^1248+39600*p^70*q^1250+3792*p^68*q^1252+ 232*p^66*q^1254+24*p^113*q^1206+33654*p^111*q^1208+1477106*p^109*q^1210+ 14966242*p^107*q^1212+322664068*p^105*q^1214+4357520174*p^103*q^1216+ 54252573068*p^101*q^1218+600472347696*p^99*q^1220+6021490203899*p^97*q^1222+ 52353607164314*p^95*q^1224+331149027661525*p^93*q^1226+1015033104088500*p^91*q^ 1228+1014248340858097*p^89*q^1230+324560942746536*p^87*q^1232+50258988505202*p^ 85*q^1234+5629627438892*p^83*q^1236+560052285931*p^81*q^1238+51036107204*p^79*q ^1240+4162478745*p^77*q^1242+301616266*p^75*q^1244+24181846*p^73*q^1246+1237620 *p^71*q^1248+6484*p^69*q^1250+9768*p^67*q^1252+1224*p^112*q^1206+407684*p^110*q ^1208+2625056*p^108*q^1210+75567962*p^106*q^1212+1072454698*p^104*q^1214+ 14842010056*p^102*q^1216+172934020930*p^100*q^1218+1822594639190*p^98*q^1220+ 17298256086810*p^96*q^1222+133608921523555*p^94*q^1224+636688294909520*p^92*q^ 1226+1180202534581307*p^90*q^1228+666097754843976*p^88*q^1230+141704683558341*p ^86*q^1232+18121458140676*p^84*q^1234+1893879633542*p^82*q^1236+180880076900*p^ 80*q^1238+15552962237*p^78*q^1240+1303075478*p^76*q^1242+68366024*p^74*q^1244+ 8603676*p^72*q^1246+98652*p^70*q^1248+56*p^68*q^1250+472*p^66*q^1252+4*p^113*q^ 1204+20102*p^111*q^1206+1536982*p^109*q^1208+11809812*p^107*q^1210+290371554*p^ 105*q^1212+3829441039*p^103*q^1214+48414134290*p^101*q^1216+538366515336*p^99*q ^1218+5408101826694*p^97*q^1220+47575003411257*p^95*q^1222+306140431951974*p^93 *q^1224+985980940387940*p^91*q^1226+1037641582348052*p^89*q^1228+ 349729969880560*p^87*q^1230+55233512787826*p^85*q^1232+6267495994366*p^83*q^ 1234+624809685064*p^81*q^1236+57309694112*p^79*q^1238+4640971688*p^77*q^1240+ 354406500*p^75*q^1242+22820352*p^73*q^1244+1778788*p^71*q^1246+4036*p^69*q^1248 +3084*p^67*q^1250+8*p^65*q^1252+780*p^112*q^1204+262550*p^110*q^1206+3059036*p^ 108*q^1208+62932910*p^106*q^1210+959961334*p^104*q^1212+13193348718*p^102*q^ 1214+154269259158*p^100*q^1216+1637594318610*p^98*q^1218+15575727971222*p^96*q^ 1220+122394251324348*p^94*q^1222+599286174461445*p^92*q^1224+1178159754067006*p ^90*q^1226+698671227845803*p^88*q^1228+154835833093910*p^86*q^1230+ 20031088501586*p^84*q^1232+2113263980742*p^82*q^1234+202178609935*p^80*q^1236+ 17625241212*p^78*q^1238+1454803356*p^76*q^1240+81149146*p^74*q^1242+9928874*p^ 72*q^1244+185572*p^70*q^1246+496*p^68*q^1248+2168*p^66*q^1250+11328*p^111*q^ 1204+1475838*p^109*q^1206+10327520*p^107*q^1208+255285938*p^105*q^1210+ 3364858282*p^103*q^1212+43201375093*p^101*q^1214+481426447356*p^99*q^1216+ 4869388976029*p^97*q^1218+43027295389332*p^95*q^1220+284025707668901*p^93*q^ 1222+949935377360806*p^91*q^1224+1064814796342169*p^89*q^1226+374338405309904*p ^87*q^1228+60893718826830*p^85*q^1230+6952511942936*p^83*q^1232+698171062273*p^ 81*q^1234+64221371016*p^79*q^1236+5187489663*p^77*q^1238+419674056*p^75*q^1240+ 21672274*p^73*q^1242+2214924*p^71*q^1244+7338*p^69*q^1246+12*p^65*q^1250+4*p^ 116*q^1198+160*p^112*q^1202+155134*p^110*q^1204+3713588*p^108*q^1206+50049240*p ^106*q^1208+864031356*p^104*q^1210+11687309739*p^102*q^1212+137926413798*p^100* q^1214+1467539238811*p^98*q^1216+14070286869936*p^96*q^1218+111524457883888*p^ 94*q^1220+566068327866652*p^92*q^1222+1165898784560518*p^90*q^1224+ 735035217878560*p^88*q^1226+168181774488572*p^86*q^1228+22208070671098*p^84*q^ 1230+2349323250675*p^82*q^1232+226419251912*p^80*q^1234+19840079559*p^78*q^1236 +1611361696*p^76*q^1238+96908864*p^74*q^1240+9797480*p^72*q^1242+337398*p^70*q^ 1244+596*p^68*q^1246+1504*p^66*q^1248+8692*p^111*q^1202+1259756*p^109*q^1204+ 8823614*p^107*q^1206+223460908*p^105*q^1208+2969630315*p^103*q^1210+38499456090 *p^101*q^1212+431481644468*p^99*q^1214+4372200951980*p^97*q^1216+39056439191060 *p^95*q^1218+261794648329110*p^93*q^1220+918216638232288*p^91*q^1222+ 1083295036177172*p^89*q^1224+401921193658772*p^87*q^1226+66828041718962*p^85*q^ 1228+7735980627235*p^83*q^1230+779037758958*p^81*q^1232+72025412268*p^79*q^1234 +5868730264*p^77*q^1236+488433542*p^75*q^1238+21832932*p^73*q^1240+3142418*p^71 *q^1242+20014*p^69*q^1244+12*p^67*q^1246+232*p^65*q^1248+58*p^112*q^1200+102548 *p^110*q^1202+4021368*p^108*q^1204+42936430*p^106*q^1206+781350620*p^104*q^1208 +10365965560*p^102*q^1210+123220653645*p^100*q^1212+1318137990730*p^98*q^1214+ 12664033465690*p^96*q^1216+101962420819834*p^94*q^1218+530596271790595*p^92*q^ 1220+1157577970337642*p^90*q^1222+767322983930378*p^88*q^1224+183318302025320*p ^86*q^1226+24527477473887*p^84*q^1228+2620422822520*p^82*q^1230+252994081417*p^ 80*q^1232+22454861440*p^78*q^1234+1772603295*p^76*q^1236+119138238*p^74*q^1238+ 9433784*p^72*q^1240+434564*p^70*q^1242+192*p^68*q^1244+64*p^115*q^1196+16*p^113 *q^1198+3410*p^111*q^1200+867993*p^109*q^1202+9132992*p^107*q^1204+187719952*p^ 105*q^1206+2614874710*p^103*q^1208+34298065589*p^101*q^1210+385316772572*p^99*q ^1212+3933757069174*p^97*q^1214+35288739242758*p^95*q^1216+242144234255974*p^93 *q^1218+880155484061186*p^91*q^1220+1105925240392851*p^89*q^1222+ 428572016505344*p^87*q^1224+73552927981501*p^85*q^1226+8576116166580*p^83*q^ 1228+869713918264*p^81*q^1230+80575226436*p^79*q^1232+6615100442*p^77*q^1234+ 556822828*p^75*q^1236+24118264*p^73*q^1238+3556564*p^71*q^1240+43520*p^69*q^ 1242+68*p^67*q^1244+424*p^65*q^1246+32*p^112*q^1198+62824*p^110*q^1200+4099698* p^108*q^1202+34625942*p^106*q^1204+697713990*p^104*q^1206+9163634942*p^102*q^ 1208+110112130632*p^100*q^1210+1181109096605*p^98*q^1212+11432777219716*p^96*q^ 1214+92770663554932*p^94*q^1216+499173331109074*p^92*q^1218+1139094000247326*p^ 90*q^1220+803581922918730*p^88*q^1222+198574382178074*p^86*q^1224+ 27165579899656*p^84*q^1226+2912224538958*p^82*q^1228+283319690130*p^80*q^1230+ 25219622898*p^78*q^1232+1960944174*p^76*q^1234+145158024*p^74*q^1236+7972980*p^ 72*q^1238+692416*p^70*q^1240+1540*p^68*q^1242+8*p^64*q^1246+8*p^115*q^1194+1468 *p^111*q^1198+665798*p^109*q^1200+9670261*p^107*q^1202+161519092*p^105*q^1204+ 2346865626*p^103*q^1206+30568403072*p^101*q^1208+345605735221*p^99*q^1210+ 3531628818306*p^97*q^1212+31995348917829*p^95*q^1214+222632121549098*p^93*q^ 1216+846386854090863*p^91*q^1218+1118809246773150*p^89*q^1220+458563227046094*p ^87*q^1222+80576720002724*p^85*q^1224+9538137337584*p^83*q^1226+969865074992*p^ 81*q^1228+90413159484*p^79*q^1230+7543360650*p^77*q^1232+627109800*p^75*q^1234+ 29362268*p^73*q^1236+4103426*p^71*q^1238+76538*p^69*q^1240+424*p^114*q^1194+276 *p^112*q^1196+41180*p^110*q^1198+3461212*p^108*q^1200+30345242*p^106*q^1202+ 617987866*p^104*q^1204+8069650434*p^102*q^1206+98235388976*p^100*q^1208+ 1059557703230*p^98*q^1210+10281866563389*p^96*q^1212+84652290628602*p^94*q^1214 +466196074134843*p^92*q^1216+1124631559488994*p^90*q^1218+834755286109704*p^88* q^1220+215911777850232*p^86*q^1222+29964200582320*p^84*q^1224+3245944538158*p^ 82*q^1226+316441297463*p^80*q^1228+28349645814*p^78*q^1230+2169872664*p^76*q^ 1232+172606044*p^74*q^1234+7089424*p^72*q^1236+921472*p^70*q^1238+3002*p^68*q^ 1240+4*p^66*q^1242+64*p^64*q^1244+656*p^111*q^1196+398630*p^109*q^1198+10410284 *p^107*q^1200+134598843*p^105*q^1202+2084649424*p^103*q^1204+27222596281*p^101* q^1206+308667713608*p^99*q^1208+3177406162597*p^97*q^1210+28884432012686*p^95*q ^1212+205370602218074*p^93*q^1214+807575724128544*p^91*q^1216+1135745103499585* p^89*q^1218+486993033489066*p^87*q^1220+88545551138915*p^85*q^1222+ 10564645698158*p^83*q^1224+1082271499171*p^81*q^1226+101123914702*p^79*q^1228+ 8567894184*p^77*q^1230+688141170*p^75*q^1232+37443448*p^73*q^1234+3751512*p^71* q^1236+105612*p^69*q^1238+60*p^67*q^1240+232*p^114*q^1192+52*p^112*q^1194+19588 *p^110*q^1196+2997990*p^108*q^1198+27743256*p^106*q^1200+542920886*p^104*q^1202 +7152378718*p^102*q^1204+87797231154*p^100*q^1206+949217378757*p^98*q^1208+ 9278054173460*p^96*q^1210+76897213462834*p^94*q^1212+436845680010442*p^92*q^ 1214+1100804760277893*p^90*q^1216+869857485259434*p^88*q^1218+233236929705134*p ^86*q^1220+33161098257218*p^84*q^1222+3606696421359*p^82*q^1224+354481411666*p^ 80*q^1226+31794258346*p^78*q^1228+2441781006*p^76*q^1230+207792966*p^74*q^1232+ 6834836*p^72*q^1234+1305058*p^70*q^1236+11652*p^68*q^1238+1504*p^113*q^1192+ 2190*p^111*q^1194+306478*p^109*q^1196+10167710*p^107*q^1198+113659530*p^105*q^ 1200+1871809694*p^103*q^1202+24163675254*p^101*q^1204+276642913139*p^99*q^1206+ 2850426249930*p^97*q^1208+26164223877201*p^95*q^1210+188333748133622*p^93*q^ 1212+772832060428204*p^91*q^1214+1142877461425496*p^89*q^1216+518987694524231*p ^87*q^1218+96796163502324*p^85*q^1220+11740528609179*p^83*q^1222+1205343253846* p^81*q^1224+113322491512*p^79*q^1226+9712898166*p^77*q^1228+750498710*p^75*q^ 1230+45344822*p^73*q^1232+3196590*p^71*q^1234+165384*p^69*q^1236+76*p^67*q^1238 +4*p^63*q^1242+12*p^114*q^1190+4*p^112*q^1192+9664*p^110*q^1194+2122910*p^108*q ^1196+26927554*p^106*q^1198+470848949*p^104*q^1200+6322456862*p^102*q^1202+ 78343199595*p^100*q^1204+851353843892*p^98*q^1206+8340988050109*p^96*q^1208+ 70078003810878*p^94*q^1210+406521416272044*p^92*q^1212+1080740758020518*p^90*q^ 1214+899175520871438*p^88*q^1216+252836031682018*p^86*q^1218+36534354156270*p^ 84*q^1220+4018792881124*p^82*q^1222+395741285742*p^80*q^1224+35704032718*p^78*q ^1226+2770255339*p^76*q^1228+237411010*p^74*q^1230+8606128*p^72*q^1232+1504856* p^70*q^1234+13226*p^68*q^1236+2168*p^113*q^1190+1428*p^111*q^1192+181944*p^109* q^1194+9855934*p^107*q^1196+98246894*p^105*q^1198+1673321966*p^103*q^1200+ 21493785011*p^101*q^1202+247059566228*p^99*q^1204+2563886898829*p^97*q^1206+ 23597821337724*p^95*q^1208+173321424980508*p^93*q^1210+733851506786232*p^91*q^ 1212+1153649853955660*p^89*q^1214+549043532140572*p^87*q^1216+106177434997498*p ^85*q^1218+12995052458990*p^83*q^1220+1345078404515*p^81*q^1222+126930860256*p^ 79*q^1224+10987927013*p^77*q^1226+814545078*p^75*q^1228+58625528*p^73*q^1230+ 2375206*p^71*q^1232+272224*p^69*q^1234+1056*p^67*q^1236+8*p^114*q^1188+3112*p^ 112*q^1190+11800*p^110*q^1192+1633644*p^108*q^1194+26285676*p^106*q^1196+ 401882900*p^104*q^1198+5601648895*p^102*q^1200+69879243854*p^100*q^1202+ 762325953805*p^98*q^1204+7520145234922*p^96*q^1206+63556196247456*p^94*q^1208+ 379667483792604*p^92*q^1210+1052105600913537*p^90*q^1212+932201982723800*p^88*q ^1214+272334310117984*p^86*q^1216+40371720670918*p^84*q^1218+4461932324003*p^82 *q^1220+442517085436*p^80*q^1222+39890322253*p^78*q^1224+3158448364*p^76*q^1226 +267314538*p^74*q^1228+10170290*p^72*q^1230+1465088*p^70*q^1232+20358*p^68*q^ 1234+472*p^113*q^1188+196*p^111*q^1190+101312*p^109*q^1192+8413216*p^107*q^1194 +85623050*p^105*q^1196+1492014932*p^103*q^1198+19061654152*p^101*q^1200+ 221432933761*p^99*q^1202+2299515106472*p^97*q^1204+21360947866731*p^95*q^1206+ 158583863707760*p^93*q^1208+699181814967791*p^91*q^1210+1154255847724388*p^89*q ^1212+582621068430421*p^87*q^1214+115848604634500*p^85*q^1216+14431804682060*p^ 83*q^1218+1497502568866*p^81*q^1220+142510840293*p^79*q^1222+12407423886*p^77*q ^1224+897885173*p^75*q^1226+71668352*p^73*q^1228+2068778*p^71*q^1230+430632*p^ 69*q^1232+1938*p^67*q^1234+9748*p^112*q^1188+14680*p^110*q^1190+1198124*p^108*q ^1192+26364554*p^106*q^1194+350302686*p^104*q^1196+5003609558*p^102*q^1198+ 62370597150*p^100*q^1200+683817516710*p^98*q^1202+6759643669726*p^96*q^1204+ 57831330089186*p^94*q^1206+352058526651834*p^92*q^1208+1027572884077588*p^90*q^ 1210+958527243613810*p^88*q^1212+294323041835164*p^86*q^1214+44428709729875*p^ 84*q^1216+4968890269500*p^82*q^1218+493830077621*p^80*q^1220+44745951956*p^78*q ^1222+3626055661*p^76*q^1224+292916152*p^74*q^1226+13743946*p^72*q^1228+1307166 *p^70*q^1230+35116*p^68*q^1232+28*p^66*q^1234+232*p^113*q^1186+4218*p^111*q^ 1188+67208*p^109*q^1190+6804036*p^107*q^1192+77471495*p^105*q^1194+1303971182*p ^103*q^1196+16857590936*p^101*q^1198+197469632882*p^99*q^1200+2066011795468*p^ 97*q^1202+19249521995024*p^95*q^1204+145599772025317*p^93*q^1206+ 660927466501452*p^91*q^1208+1158901729506220*p^89*q^1210+613669338998612*p^87*q ^1212+126796255185725*p^85*q^1214+15960220631908*p^83*q^1216+1670267109361*p^81 *q^1218+159328310684*p^79*q^1220+13931049108*p^77*q^1222+988143340*p^75*q^1224+ 85406422*p^73*q^1226+2104150*p^71*q^1228+474222*p^69*q^1230+1592*p^67*q^1232+ 5604*p^112*q^1186+4506*p^110*q^1188+753592*p^108*q^1190+25363134*p^106*q^1192+ 297704142*p^104*q^1194+4470881378*p^102*q^1196+55682279642*p^100*q^1198+ 612330867448*p^98*q^1200+6092964431026*p^96*q^1202+52400892486159*p^94*q^1204+ 327696118428476*p^92*q^1206+994967495696998*p^90*q^1208+988777924441074*p^88*q^ 1210+315939083778454*p^86*q^1212+49030342188726*p^84*q^1214+5514209667146*p^82* q^1216+551685892236*p^80*q^1218+50188750971*p^78*q^1220+4147922086*p^76*q^1222+ 317017223*p^74*q^1224+18154072*p^72*q^1226+846454*p^70*q^1228+85396*p^68*q^1230 +260*p^66*q^1232+24*p^113*q^1184+24092*p^111*q^1186+88504*p^109*q^1188+5700658* p^107*q^1190+71846122*p^105*q^1192+1155200785*p^103*q^1194+14969300850*p^101*q^ 1196+176862037028*p^99*q^1198+1852983746320*p^97*q^1200+17408141918921*p^95*q^ 1202+132960762264752*p^93*q^1204+626840062352451*p^91*q^1206+1152904662100388*p ^89*q^1208+648518940896126*p^87*q^1210+138036467425660*p^85*q^1212+ 17712244279012*p^83*q^1214+1859317706900*p^81*q^1216+178983819815*p^79*q^1218+ 15610185124*p^77*q^1220+1132887475*p^75*q^1222+100891120*p^73*q^1224+2669324*p^ 71*q^1226+590840*p^69*q^1228+2628*p^67*q^1230+2780*p^112*q^1184+7846*p^110*q^ 1186+474776*p^108*q^1188+22546384*p^106*q^1190+261318500*p^104*q^1192+ 3978695134*p^102*q^1194+49530776589*p^100*q^1196+549012643348*p^98*q^1198+ 5472211611118*p^96*q^1200+47611826067444*p^94*q^1202+302989714177936*p^92*q^ 1204+966569493954398*p^90*q^1206+1011243501524621*p^88*q^1208+340402508474964*p ^86*q^1210+53866834999838*p^84*q^1212+6135650167746*p^82*q^1214+614943207483*p^ 80*q^1216+56257725146*p^78*q^1218+4728531843*p^76*q^1220+331665180*p^74*q^1222+ 22463114*p^72*q^1224+579252*p^70*q^1226+100748*p^68*q^1228+68*p^66*q^1230+30048 *p^111*q^1184+51208*p^109*q^1186+4126182*p^107*q^1188+68538096*p^105*q^1190+ 997253830*p^103*q^1192+13289592071*p^101*q^1194+157861399478*p^99*q^1196+ 1664646320285*p^97*q^1198+15680202965518*p^95*q^1200+121815857150391*p^93*q^ 1202+590157538196486*p^91*q^1204+1150942980006064*p^89*q^1206+679897273459504*p ^87*q^1208+150766689816868*p^85*q^1210+19567161904540*p^83*q^1212+2073221854937 *p^81*q^1214+200005579640*p^79*q^1216+17510473910*p^77*q^1218+1293162812*p^75*q ^1220+114998874*p^73*q^1222+3952990*p^71*q^1224+472964*p^69*q^1226+11044*p^67*q ^1228+16*p^65*q^1230+924*p^112*q^1182+36048*p^110*q^1184+428464*p^108*q^1186+ 20559226*p^106*q^1188+228987992*p^104*q^1190+3551625996*p^102*q^1192+ 44126974580*p^100*q^1194+491257311531*p^98*q^1196+4930529650082*p^96*q^1198+ 43088756094495*p^94*q^1200+281105727727430*p^92*q^1202+931286275636311*p^90*q^ 1204+1037501867524460*p^88*q^1206+364144519018694*p^86*q^1208+59375365323866*p^ 84*q^1210+6806618873523*p^82*q^1212+687038573476*p^80*q^1214+63208080916*p^78*q ^1216+5357439386*p^76*q^1218+360413913*p^74*q^1220+28744564*p^72*q^1222+449518* p^70*q^1224+169132*p^68*q^1226+94*p^66*q^1228+8*p^113*q^1180+19884*p^111*q^1182 +40726*p^109*q^1184+2932244*p^107*q^1186+63817362*p^105*q^1188+872760032*p^103* q^1190+11823902980*p^101*q^1192+141315365439*p^99*q^1194+1492437636900*p^97*q^ 1196+14171106337872*p^95*q^1198+111021620387772*p^93*q^1200+557324245637718*p^ 91*q^1202+1138876709617590*p^89*q^1204+715204358356042*p^87*q^1206+ 163703503875114*p^85*q^1208+21695721531576*p^83*q^1210+2304998276718*p^81*q^ 1212+224056945657*p^79*q^1214+19569348374*p^77*q^1216+1505518648*p^75*q^1218+ 123015618*p^73*q^1220+4889214*p^71*q^1222+306208*p^69*q^1224+15354*p^67*q^1226+ 56*p^112*q^1180+85296*p^110*q^1182+351122*p^108*q^1184+16989904*p^106*q^1186+ 204374998*p^104*q^1188+3139626140*p^102*q^1190+39194029804*p^100*q^1192+ 440255028622*p^98*q^1194+4426446983824*p^96*q^1196+39112999733892*p^94*q^1198+ 259158146478861*p^92*q^1200+899978544009382*p^90*q^1202+1055523935020282*p^88*q ^1204+390909749745952*p^86*q^1206+65127862654062*p^84*q^1208+7570739149548*p^82 *q^1210+765940847181*p^80*q^1212+71109052414*p^78*q^1214+6051833026*p^76*q^1216 +394425050*p^74*q^1218+36149806*p^72*q^1220+740562*p^70*q^1222+197096*p^68*q^ 1224+786*p^66*q^1226+11492*p^111*q^1180+54174*p^109*q^1182+2136176*p^107*q^1184 +60935113*p^105*q^1186+764125820*p^103*q^1188+10558755154*p^101*q^1190+ 126143281780*p^99*q^1192+1340710078166*p^97*q^1194+12756594353660*p^95*q^1196+ 101542609345219*p^93*q^1198+522531691164534*p^91*q^1200+1130471858391310*p^89*q ^1202+746463520568512*p^87*q^1204+178363091627919*p^85*q^1206+23944168387572*p^ 83*q^1208+2569663628057*p^81*q^1210+250027955202*p^79*q^1212+21926216731*p^77*q ^1214+1733017076*p^75*q^1216+129034910*p^73*q^1218+6614294*p^71*q^1220+128496*p ^69*q^1222+27992*p^67*q^1224+228*p^112*q^1178+87668*p^110*q^1180+249784*p^108*q ^1182+13633368*p^106*q^1184+183124188*p^104*q^1186+2756811514*p^102*q^1188+ 34833450226*p^100*q^1190+393610596244*p^98*q^1192+3985234923616*p^96*q^1194+ 35352036885162*p^94*q^1196+239782707605378*p^92*q^1198+862760469026005*p^90*q^ 1200+1077037983567464*p^88*q^1202+416717974931415*p^86*q^1204+71664199978796*p^ 84*q^1206+8391141729989*p^82*q^1208+855137985236*p^80*q^1210+79847960750*p^78*q ^1212+6787215194*p^76*q^1214+446756292*p^74*q^1216+42772256*p^72*q^1218+925120* p^70*q^1220+164420*p^68*q^1222+1974*p^66*q^1224+2384*p^111*q^1178+145900*p^109* q^1180+1810584*p^107*q^1182+55000956*p^105*q^1184+668687966*p^103*q^1186+ 9425597606*p^101*q^1188+112798462361*p^99*q^1190+1202004901806*p^97*q^1192+ 11522440563395*p^95*q^1194+92392315792862*p^93*q^1196+491619731711750*p^91*q^ 1198+1112320744594578*p^89*q^1200+781406077356617*p^87*q^1202+193192292356394*p ^85*q^1204+26517514287690*p^83*q^1206+2855834841688*p^81*q^1208+279925465046*p^ 79*q^1210+24599691212*p^77*q^1212+2006254154*p^75*q^1214+134950800*p^73*q^1216+ 8794896*p^71*q^1218+113484*p^69*q^1220+52914*p^67*q^1222+24*p^65*q^1224+28*p^ 112*q^1176+72684*p^110*q^1178+219560*p^108*q^1180+10301656*p^106*q^1182+ 171248265*p^104*q^1184+2441425400*p^102*q^1186+31002256344*p^100*q^1188+ 352929921580*p^98*q^1190+3577353547844*p^96*q^1192+32058192863826*p^94*q^1194+ 220427162620963*p^92*q^1196+829733416185578*p^90*q^1198+1089601305302871*p^88*q ^1200+445681359216356*p^86*q^1202+78484207682406*p^84*q^1204+9329286733366*p^82 *q^1206+953152494344*p^80*q^1208+89756715250*p^78*q^1210+7607959735*p^76*q^1212 +519200608*p^74*q^1214+47303096*p^72*q^1216+1316400*p^70*q^1218+91674*p^68*q^ 1220+2236*p^66*q^1222+2708*p^111*q^1176+236514*p^109*q^1178+1354278*p^107*q^ 1180+48621195*p^105*q^1182+582539942*p^103*q^1184+8349090146*p^101*q^1186+ 100438744564*p^99*q^1188+1078413059932*p^97*q^1190+10365875893606*p^95*q^1192+ 84340544035961*p^93*q^1194+459150605092616*p^91*q^1196+1098282599008476*p^89*q^ 1198+811547068013312*p^87*q^1200+209919783351053*p^85*q^1202+29237085962188*p^ 83*q^1204+3180750705903*p^81*q^1206+312006204170*p^79*q^1208+27660576511*p^77*q ^1210+2280520664*p^75*q^1212+138730036*p^73*q^1214+11913348*p^71*q^1216+155338* p^69*q^1218+57214*p^67*q^1220+184*p^65*q^1222+31268*p^110*q^1176+237608*p^108*q ^1178+8215728*p^106*q^1180+157443654*p^104*q^1182+2143368383*p^102*q^1184+ 27665543008*p^100*q^1186+315559392741*p^98*q^1188+3220664358198*p^96*q^1190+ 28957363290418*p^94*q^1192+203422979143830*p^92*q^1194+791510294225820*p^90*q^ 1196+1105902745982204*p^88*q^1198+473181162886087*p^86*q^1200+86201346320100*p^ 84*q^1202+10332250778790*p^82*q^1204+1063787447362*p^80*q^1206+100589659288*p^ 78*q^1208+8476501772*p^76*q^1210+607295613*p^74*q^1212+51182702*p^72*q^1214+ 1691672*p^70*q^1216+23316*p^68*q^1218+8990*p^66*q^1220+948*p^111*q^1174+272440* p^109*q^1176+1184672*p^107*q^1178+41009736*p^105*q^1180+519407597*p^103*q^1182+ 7439381138*p^101*q^1184+89704042801*p^99*q^1186+966825462612*p^97*q^1188+ 9355546595142*p^95*q^1190+76634848694814*p^93*q^1192+430291023212183*p^91*q^ 1194+1074635055401510*p^89*q^1196+845572717995965*p^87*q^1198+226726526423166*p ^85*q^1200+32348710035882*p^83*q^1202+3535124422296*p^81*q^1204+349365859138*p^ 79*q^1206+31229170874*p^77*q^1208+2612858484*p^75*q^1210+153867766*p^73*q^1212+ 14847482*p^71*q^1214+231296*p^69*q^1216+54516*p^67*q^1218+48*p^65*q^1220+20828* p^110*q^1174+443500*p^108*q^1176+6460304*p^106*q^1178+144988359*p^104*q^1180+ 1885663350*p^102*q^1182+24610192823*p^100*q^1184+282703258634*p^98*q^1186+ 2889117333537*p^96*q^1188+26230071800860*p^94*q^1190+186574008767002*p^92*q^ 1192+757535375391744*p^90*q^1194+1112512390404662*p^88*q^1196+504192549367748*p ^86*q^1198+94209873211319*p^84*q^1200+11475778034754*p^82*q^1202+1184076421669* p^80*q^1204+112696069880*p^78*q^1206+9442038722*p^76*q^1208+708072536*p^74*q^ 1210+51071994*p^72*q^1212+2432028*p^70*q^1214+21760*p^68*q^1216+11844*p^66*q^ 1218+8*p^64*q^1220+76*p^111*q^1172+196016*p^109*q^1174+843840*p^107*q^1176+ 33262144*p^105*q^1178+464252698*p^103*q^1180+6570464002*p^101*q^1182+ 79875772586*p^99*q^1184+867262691526*p^97*q^1186+8413504474916*p^95*q^1188+ 69845350063615*p^93*q^1190+400539273814530*p^91*q^1192+1055150279738525*p^89*q^ 1194+873660331863200*p^87*q^1196+245692054289349*p^85*q^1198+35617568813618*p^ 83*q^1200+3936443073213*p^81*q^1202+389671910094*p^79*q^1204+35232480745*p^77*q ^1206+2933719316*p^75*q^1208+171897275*p^73*q^1210+17568618*p^71*q^1212+316850* p^69*q^1214+15604*p^67*q^1216+868*p^65*q^1218+12*p^112*q^1170+12960*p^110*q^ 1172+655104*p^108*q^1174+5493076*p^106*q^1176+132378950*p^104*q^1178+1654761204 *p^102*q^1180+21999664226*p^100*q^1182+252686408443*p^98*q^1184+2600752887358*p ^96*q^1186+23673141876046*p^94*q^1188+171734381123316*p^92*q^1190+ 719425133278878*p^90*q^1192+1122805284249168*p^88*q^1194+533078339775261*p^86*q ^1196+103307972906562*p^84*q^1198+12700428839631*p^82*q^1200+1321237463278*p^80 *q^1202+126014923087*p^78*q^1204+10596198722*p^76*q^1206+830898241*p^74*q^1208+ 52882858*p^72*q^1210+3623950*p^70*q^1212+30844*p^68*q^1214+19312*p^66*q^1216+28 *p^111*q^1170+124782*p^109*q^1172+966508*p^107*q^1174+27218190*p^105*q^1176+ 418313735*p^103*q^1178+5830768138*p^101*q^1180+71248920384*p^99*q^1182+ 776889382256*p^97*q^1184+7588864543769*p^95*q^1186+63367729485624*p^93*q^1188+ 373998654909264*p^91*q^1190+1027133719649850*p^89*q^1192+905623530144030*p^87*q ^1194+264532121548004*p^85*q^1196+39360095542084*p^83*q^1198+4370870595170*p^81 *q^1200+435815738512*p^79*q^1202+39720450906*p^77*q^1204+3267479346*p^75*q^1206 +200049864*p^73*q^1208+18895872*p^71*q^1210+350854*p^69*q^1212+2802*p^67*q^1214 +1536*p^65*q^1216+2900*p^110*q^1170+702288*p^108*q^1172+4204398*p^106*q^1174+ 114849710*p^104*q^1176+1461548176*p^102*q^1178+19534990136*p^100*q^1180+ 226238283992*p^98*q^1182+2332507182020*p^96*q^1184+21430318048654*p^94*q^1186+ 157159121580723*p^92*q^1188+685329190200466*p^90*q^1190+1123437374936384*p^88*q ^1192+565594443252582*p^86*q^1194+112656377521338*p^84*q^1196+14099180827674*p^ 82*q^1198+1470095721124*p^80*q^1200+141154406560*p^78*q^1202+11920119941*p^76*q ^1204+975130482*p^74*q^1206+53291340*p^72*q^1208+4835198*p^70*q^1210+65528*p^68 *q^1212+10232*p^66*q^1214+32*p^64*q^1216+264*p^111*q^1168+98340*p^109*q^1170+ 1271134*p^107*q^1172+22571428*p^105*q^1174+385402110*p^103*q^1176+5153570458*p^ 101*q^1178+63596615572*p^99*q^1180+697088223923*p^97*q^1182+6821929014072*p^95* q^1184+57681645565006*p^93*q^1186+346932828080718*p^91*q^1188+1002962621104249* p^89*q^1190+931055657602816*p^87*q^1192+285776475182560*p^85*q^1194+ 43284781744760*p^83*q^1196+4865104286226*p^81*q^1198+485966329998*p^79*q^1200+ 44727354130*p^77*q^1202+3627491658*p^75*q^1204+234248742*p^73*q^1206+20481466*p ^71*q^1208+644964*p^69*q^1210+2392*p^67*q^1212+3750*p^65*q^1214+1248*p^110*q^ 1168+547990*p^108*q^1170+3523484*p^106*q^1172+98866624*p^104*q^1174+1281363696* p^102*q^1176+17378693760*p^100*q^1178+201770161328*p^98*q^1180+2097497113620*p^ 96*q^1182+19321356244613*p^94*q^1184+144354052461744*p^92*q^1186+ 647916613942985*p^90*q^1188+1127481790038082*p^88*q^1190+595559505420706*p^86*q ^1192+123264982210824*p^84*q^1194+15585662943820*p^82*q^1196+1639603090106*p^80 *q^1198+157623408277*p^78*q^1200+13464317412*p^76*q^1202+1106380251*p^74*q^1204 +56596240*p^72*q^1206+5696166*p^70*q^1208+44436*p^68*q^1210+878*p^66*q^1212+144 *p^64*q^1214+20*p^111*q^1166+39812*p^109*q^1168+1657526*p^107*q^1170+18604420*p ^105*q^1172+347657732*p^103*q^1174+4563049226*p^101*q^1176+56821807632*p^99*q^ 1178+624603221072*p^97*q^1180+6152214780233*p^95*q^1182+52270676266178*p^93*q^ 1184+322962937164381*p^91*q^1186+971126989684702*p^89*q^1188+959992668297819*p^ 87*q^1190+306728620895946*p^85*q^1192+47760416867196*p^83*q^1194+5399356762352* p^81*q^1196+543249899948*p^79*q^1198+50253225942*p^77*q^1200+4034928961*p^75*q^ 1202+288180088*p^73*q^1204+20464370*p^71*q^1206+1032200*p^69*q^1208+11024*p^67* q^1210+4160*p^65*q^1212+2352*p^110*q^1166+484304*p^108*q^1168+3457338*p^106*q^ 1170+83924082*p^104*q^1172+1150753646*p^102*q^1174+15456337288*p^100*q^1176+ 180588354810*p^98*q^1178+1881047346422*p^96*q^1180+17476233225084*p^94*q^1182+ 131808277312435*p^92*q^1184+614576455196008*p^90*q^1186+1121642347417470*p^88*q ^1188+629128721112656*p^86*q^1190+134154015117454*p^84*q^1192+17291088588342*p^ 82*q^1194+1823904304272*p^80*q^1196+176626947526*p^78*q^1198+15284165912*p^76*q ^1200+1254377182*p^74*q^1202+62093345*p^72*q^1204+6880454*p^70*q^1206+76708*p^ 68*q^1208+72*p^66*q^1210+340*p^64*q^1212+2*p^115*q^1160+16*p^111*q^1164+19940*p ^109*q^1166+1675356*p^107*q^1168+14814720*p^105*q^1170+312115008*p^103*q^1172+ 4010510233*p^101*q^1174+50561151238*p^99*q^1176+559714174415*p^97*q^1178+ 5527032919724*p^95*q^1180+47513297106277*p^93*q^1182+298633876934204*p^91*q^ 1184+943533177707513*p^89*q^1186+981676841931354*p^87*q^1188+330252726385092*p^ 85*q^1190+52447474997710*p^83*q^1192+6003634172659*p^81*q^1194+605108023508*p^ 79*q^1196+56324772041*p^77*q^1198+4475302654*p^75*q^1200+340847083*p^73*q^1202+ 19341216*p^71*q^1204+1340296*p^69*q^1206+9112*p^67*q^1208+466*p^65*q^1210+8*p^ 63*q^1212+912*p^110*q^1164+296764*p^108*q^1166+3586584*p^106*q^1168+71190972*p^ 104*q^1170+1025863702*p^102*q^1172+13733299024*p^100*q^1174+161279588982*p^98*q ^1176+1691582330852*p^96*q^1178+15751446662465*p^94*q^1180+120823790065334*p^92 *q^1182+578545833232352*p^90*q^1184+1119605585541818*p^88*q^1186+ 659359925686809*p^86*q^1188+146442700594854*p^84*q^1190+19098456988203*p^82*q^ 1192+2033947166628*p^80*q^1194+197251192655*p^78*q^1196+17333309790*p^76*q^1198 +1394769562*p^74*q^1200+74120506*p^72*q^1202+7909504*p^70*q^1204+163580*p^68*q^ 1206+1036*p^66*q^1208+1008*p^64*q^1210+28*p^111*q^1162+15280*p^109*q^1164+ 1662502*p^107*q^1166+13332886*p^105*q^1168+276609021*p^103*q^1170+3559271202*p^ 101*q^1172+45189281222*p^99*q^1174+501158244304*p^97*q^1176+4981549146789*p^95* q^1178+43012879859636*p^93*q^1180+277113494503060*p^91*q^1182+908785284914498*p ^89*q^1184+1007036346993751*p^87*q^1186+353228565082436*p^85*q^1188+ 57791959459144*p^83*q^1190+6660580277590*p^81*q^1192+676081098867*p^79*q^1194+ 63181400448*p^77*q^1196+5039909681*p^75*q^1198+405669562*p^73*q^1200+19289756*p ^71*q^1202+1713780*p^69*q^1204+5388*p^67*q^1206+8*p^63*q^1210+36*p^114*q^1158+ 296*p^110*q^1162+174380*p^108*q^1164+4031332*p^106*q^1166+58237166*p^104*q^1168 +925537986*p^102*q^1170+12169718784*p^100*q^1172+144190390506*p^98*q^1174+ 1516278705951*p^96*q^1176+14234091829340*p^94*q^1178+110137384280241*p^92*q^ 1180+546431707821650*p^90*q^1182+1107577812528162*p^88*q^1184+693509120155684*p ^86*q^1186+158966511630612*p^84*q^1188+21162667601768*p^82*q^1190+2260408205529 *p^80*q^1192+220850708318*p^78*q^1194+19573138613*p^76*q^1196+1541316330*p^74*q ^1198+90346432*p^72*q^1200+7592954*p^70*q^1202+250130*p^68*q^1204+2156*p^66*q^ 1206+158*p^64*q^1208+11820*p^109*q^1162+1373906*p^107*q^1164+11172910*p^105*q^ 1166+242129972*p^103*q^1168+3137168083*p^101*q^1170+40180388064*p^99*q^1172+ 449068890777*p^97*q^1174+4474035450434*p^95*q^1176+39052465001796*p^93*q^1178+ 255560304760302*p^91*q^1180+878383615558974*p^89*q^1182+1024089674062712*p^87*q ^1184+379059235254870*p^85*q^1186+63353037517928*p^83*q^1188+7404022409575*p^81 *q^1190+753248672828*p^79*q^1192+70733995133*p^77*q^1194+5708910266*p^75*q^1196 +465218010*p^73*q^1198+19131012*p^71*q^1200+2424980*p^69*q^1202+17728*p^67*q^ 1204+32*p^65*q^1206+136*p^63*q^1208+452*p^110*q^1160+106348*p^108*q^1162+ 4297722*p^106*q^1164+50893746*p^104*q^1166+833230910*p^102*q^1168+10820728356*p ^100*q^1170+128884205172*p^98*q^1172+1363053337450*p^96*q^1174+12822893456392*p ^94*q^1176+100755069849630*p^92*q^1178+512439998180803*p^90*q^1180+ 1099272961229046*p^88*q^1182+723398473712809*p^86*q^1184+173144316640112*p^84*q ^1186+23352498869619*p^82*q^1188+2519134003494*p^80*q^1190+246500455559*p^78*q^ 1192+22149235152*p^76*q^1194+1687829611*p^74*q^1196+113757042*p^72*q^1198+ 7675540*p^70*q^1200+319044*p^68*q^1202+176*p^66*q^1204+274*p^113*q^1156+24*p^ 111*q^1158+4300*p^109*q^1160+971752*p^107*q^1162+10748608*p^105*q^1164+ 206433579*p^103*q^1166+2786343678*p^101*q^1168+35813951988*p^99*q^1170+ 401546044564*p^97*q^1172+4030923151622*p^95*q^1174+35311757139340*p^93*q^1176+ 236438086347308*p^91*q^1178+842027537477656*p^89*q^1180+1044814517653120*p^87*q ^1182+403896503605842*p^85*q^1184+69703272198732*p^83*q^1186+8204796934874*p^81 *q^1188+841048536266*p^79*q^1190+79197506284*p^77*q^1192+6483357354*p^75*q^1194 +530614054*p^73*q^1196+21453014*p^71*q^1198+2605018*p^69*q^1200+34480*p^67*q^ 1202+316*p^65*q^1204+28*p^63*q^1206+88*p^110*q^1158+83694*p^108*q^1160+4338218* p^106*q^1162+42663926*p^104*q^1164+748434728*p^102*q^1166+9584205675*p^100*q^ 1168+115196081194*p^98*q^1170+1221818758201*p^96*q^1172+11581775052458*p^94*q^ 1174+91694831747854*p^92*q^1176+482040144918152*p^90*q^1178+1081697159916355*p^ 88*q^1180+757163877223206*p^86*q^1182+187439917007527*p^84*q^1184+ 25854246864304*p^82*q^1186+2798989980141*p^80*q^1188+275943117924*p^78*q^1190+ 24917686316*p^76*q^1192+1874183596*p^74*q^1194+138352062*p^72*q^1196+6786384*p^ 70*q^1198+534160*p^68*q^1200+1172*p^66*q^1202+8*p^62*q^1206+64*p^113*q^1154+8*p ^111*q^1156+4276*p^109*q^1158+670288*p^107*q^1160+10588252*p^105*q^1162+ 178707750*p^103*q^1164+2487036604*p^101*q^1166+31852556936*p^99*q^1168+ 359964091054*p^97*q^1170+3618688990112*p^95*q^1172+32034920985148*p^93*q^1174+ 217442751540510*p^91*q^1176+809705962558050*p^89*q^1178+1056892894717714*p^87*q ^1180+431809749333354*p^85*q^1182+76279646603098*p^83*q^1184+9116876332578*p^81 *q^1186+936415094958*p^79*q^1188+88687975069*p^77*q^1190+7401266082*p^75*q^1192 +589318900*p^73*q^1194+26536422*p^71*q^1196+2925866*p^69*q^1198+50912*p^67*q^ 1200+1148*p^112*q^1154+436*p^110*q^1156+48332*p^108*q^1158+3708682*p^106*q^1160 +36858262*p^104*q^1162+661970783*p^102*q^1164+8478171252*p^100*q^1166+ 102756377828*p^98*q^1168+1097109106024*p^96*q^1170+10425401510391*p^94*q^1172+ 83746790806740*p^92*q^1174+450319655340752*p^90*q^1176+1067624630755094*p^88*q^ 1178+786149768761087*p^86*q^1180+203596044627152*p^84*q^1182+28491082496314*p^ 82*q^1184+3117821771502*p^80*q^1186+307805790445*p^78*q^1188+28010261862*p^76*q ^1190+2082128406*p^74*q^1192+164056784*p^72*q^1194+5970224*p^70*q^1196+676268*p ^68*q^1198+2920*p^66*q^1200+20*p^64*q^1202+2*p^62*q^1204+1788*p^109*q^1156+ 456620*p^107*q^1158+11019380*p^105*q^1160+154002022*p^103*q^1162+2222584936*p^ 101*q^1164+28415902964*p^99*q^1166+322089187030*p^97*q^1168+3259775453575*p^95* q^1170+28941323661416*p^93*q^1172+200702637295407*p^91*q^1174+772418083185854*p ^89*q^1176+1072233477064876*p^87*q^1178+458376549981970*p^85*q^1180+ 83766505329955*p^83*q^1182+10095966642208*p^81*q^1184+1045052827296*p^79*q^1186 +99276924880*p^77*q^1188+8450149463*p^75*q^1190+646058206*p^73*q^1192+35283491* p^71*q^1194+2943686*p^69*q^1196+81620*p^67*q^1198+36*p^65*q^1200+944*p^112*q^ 1152+196*p^110*q^1154+33296*p^108*q^1156+3070888*p^106*q^1158+32827568*p^104*q^ 1160+582610658*p^102*q^1162+7537927298*p^100*q^1164+91778722882*p^98*q^1166+ 983060963567*p^96*q^1168+9411562116140*p^94*q^1170+76089683417334*p^92*q^1172+ 422080821355210*p^90*q^1174+1044682290777231*p^88*q^1176+818773347959994*p^86*q ^1178+219840585480477*p^84*q^1180+31509163239422*p^82*q^1182+3462722123075*p^80 *q^1184+344555760026*p^78*q^1186+31418784481*p^76*q^1188+2358576536*p^74*q^1190 +195007662*p^72*q^1192+5789274*p^70*q^1194+853256*p^68*q^1196+7040*p^66*q^1198+ 2888*p^111*q^1152+3560*p^109*q^1154+351296*p^107*q^1156+10646730*p^105*q^1158+ 131660904*p^103*q^1160+1992625487*p^101*q^1162+25189563826*p^99*q^1164+ 288460267185*p^97*q^1166+2925180837414*p^95*q^1168+26225248654573*p^93*q^1170+ 184102789304672*p^91*q^1172+739402696854413*p^89*q^1174+1078568193093186*p^87*q ^1176+488100156244181*p^85*q^1178+91503199134896*p^83*q^1180+11207769358024*p^ 81*q^1182+1162411940054*p^79*q^1184+111096748809*p^77*q^1186+9586074276*p^75*q^ 1188+699154888*p^73*q^1190+42645186*p^71*q^1192+2471854*p^69*q^1194+128944*p^67 *q^1196+112*p^65*q^1198+56*p^112*q^1150+40*p^110*q^1152+18664*p^108*q^1154+ 2165584*p^106*q^1156+30093798*p^104*q^1158+509623440*p^102*q^1160+6668486418*p^ 100*q^1162+81858775802*p^98*q^1164+882551254826*p^96*q^1166+8469601235648*p^94* q^1168+69392312787848*p^92*q^1170+392890836935259*p^90*q^1172+1025692043607788* p^88*q^1174+845712840705324*p^86*q^1176+238081065595346*p^84*q^1178+ 34685678794987*p^82*q^1180+3855119309360*p^80*q^1182+384321862709*p^78*q^1184+ 35252893830*p^76*q^1186+2692662059*p^74*q^1188+221096020*p^72*q^1190+7569268*p^ 70*q^1192+1049280*p^68*q^1194+9848*p^66*q^1196+5760*p^111*q^1150+2792*p^109*q^ 1152+230848*p^107*q^1154+10151104*p^105*q^1156+115649694*p^103*q^1158+ 1783600828*p^101*q^1160+22506355514*p^99*q^1162+258080484516*p^97*q^1164+ 2634186868146*p^95*q^1166+23678515938502*p^93*q^1168+169502606602581*p^91*q^ 1170+702004692069822*p^89*q^1172+1088397813694772*p^87*q^1174+515971942460018*p ^85*q^1176+100297297955484*p^83*q^1178+12402936213730*p^81*q^1180+1297261482250 *p^79*q^1182+124401694300*p^77*q^1184+10883414890*p^75*q^1186+765502814*p^73*q^ 1188+55329305*p^71*q^1190+1901592*p^69*q^1192+175858*p^67*q^1194+620*p^65*q^ 1196+56*p^112*q^1148+4468*p^110*q^1150+19816*p^108*q^1152+1779856*p^106*q^1154+ 28610542*p^104*q^1156+441582250*p^102*q^1158+5936696917*p^100*q^1160+ 72964435504*p^98*q^1162+790410578208*p^96*q^1164+7639222995432*p^94*q^1166+ 62966676989403*p^92*q^1168+366920525805312*p^90*q^1170+998221210517397*p^88*q^ 1172+876575069128026*p^86*q^1174+256263602560642*p^84*q^1176+38305969619546*p^ 82*q^1178+4279067234220*p^80*q^1180+429321014814*p^78*q^1182+39431652799*p^76*q ^1184+3091090606*p^74*q^1186+245107129*p^72*q^1188+9260346*p^70*q^1190+1038290* p^68*q^1192+17260*p^66*q^1194+1496*p^111*q^1148+876*p^109*q^1150+146340*p^107*q ^1152+8315836*p^105*q^1154+99138342*p^103*q^1156+1584732942*p^101*q^1158+ 19927392894*p^99*q^1160+231010838288*p^97*q^1162+2362820512594*p^95*q^1164+ 21439796797912*p^93*q^1166+155175039676360*p^91*q^1168+668899828310451*p^89*q^ 1170+1088612468895346*p^87*q^1172+547259910044817*p^85*q^1174+109318150000514*p ^83*q^1176+13759154840137*p^81*q^1178+1442455396014*p^79*q^1180+139420607778*p^ 77*q^1182+12268880276*p^75*q^1184+843817577*p^73*q^1186+66640948*p^71*q^1188+ 1588957*p^69*q^1190+274500*p^67*q^1192+1284*p^65*q^1194+18928*p^110*q^1148+ 23716*p^108*q^1150+1323758*p^106*q^1152+27783968*p^104*q^1154+389868668*p^102*q ^1156+5305941568*p^100*q^1158+65152315588*p^98*q^1160+709850371964*p^96*q^1162+ 6873291730095*p^94*q^1164+57335880028940*p^92*q^1166+340477331935522*p^90*q^ 1168+974686212229804*p^88*q^1170+900676633409518*p^86*q^1172+276745142736578*p^ 84*q^1174+42109429148837*p^82*q^1176+4762053855742*p^80*q^1178+478713970063*p^ 78*q^1180+44226055750*p^76*q^1182+3561984947*p^74*q^1184+266213860*p^72*q^1186+ 12794360*p^70*q^1188+942430*p^68*q^1190+23948*p^66*q^1192+20*p^64*q^1194+904*p^ 111*q^1146+4472*p^109*q^1148+102450*p^107*q^1150+6989330*p^105*q^1152+88794572* p^103*q^1154+1393126032*p^101*q^1156+17722142873*p^99*q^1158+206260045320*p^97* q^1160+2125951069987*p^95*q^1162+19338644210686*p^93*q^1164+142530270668045*p^ 91*q^1166+632395080108898*p^89*q^1168+1092394847111807*p^87*q^1170+ 575970153546072*p^85*q^1172+119592947053970*p^83*q^1174+15209797383736*p^81*q^ 1176+1608827776336*p^79*q^1178+155883899508*p^77*q^1180+13819037380*p^75*q^1182 +947079490*p^73*q^1184+79197488*p^71*q^1186+1745740*p^69*q^1188+308768*p^67*q^ 1190+1428*p^65*q^1192+12744*p^110*q^1146+10552*p^108*q^1148+916520*p^106*q^1150 +25657048*p^104*q^1152+336576358*p^102*q^1154+4747286370*p^100*q^1156+ 58124473298*p^98*q^1158+635864897656*p^96*q^1160+6198733716012*p^94*q^1162+ 51968859926128*p^92*q^1164+316915875059596*p^90*q^1166+943833464682974*p^88*q^ 1168+928557945154016*p^86*q^1170+296875870398436*p^84*q^1172+46447031055958*p^ 82*q^1174+5281297385533*p^80*q^1176+534382792956*p^78*q^1178+49551456352*p^76*q ^1180+4084336196*p^74*q^1182+286611619*p^72*q^1184+16890456*p^70*q^1186+578861* p^68*q^1188+53752*p^66*q^1190+148*p^64*q^1192+124*p^111*q^1144+36972*p^109*q^ 1146+133602*p^107*q^1148+5888302*p^105*q^1150+79924284*p^103*q^1152+1235999118* p^101*q^1154+15729143644*p^99*q^1156+184558380058*p^97*q^1158+1906443584890*p^ 95*q^1160+17498577436092*p^93*q^1162+130203738894432*p^91*q^1164+ 599823141581887*p^89*q^1166+1086709074524968*p^87*q^1168+608238893336739*p^85*q ^1170+130058984785210*p^83*q^1172+16863573568441*p^81*q^1174+1789064672932*p^79 *q^1176+174778602974*p^77*q^1178+15490059222*p^75*q^1180+1089977913*p^73*q^1182 +89944570*p^71*q^1184+2317006*p^69*q^1186+386420*p^67*q^1188+1948*p^65*q^1190+ 7268*p^110*q^1144+8188*p^108*q^1146+583342*p^106*q^1148+22618570*p^104*q^1150+ 295972024*p^102*q^1152+4216054672*p^100*q^1154+51749038064*p^98*q^1156+ 570405571242*p^96*q^1158+5572601428510*p^94*q^1160+47267393799422*p^92*q^1162+ 293145984000582*p^90*q^1164+916736463077540*p^88*q^1166+949294791558419*p^86*q^ 1168+319515162557454*p^84*q^1170+50975444181760*p^82*q^1172+5873316895280*p^80* q^1174+594920152197*p^78*q^1176+55509300940*p^76*q^1178+4659652769*p^74*q^1180+ 302432544*p^72*q^1182+21209670*p^70*q^1184+364286*p^68*q^1186+62640*p^66*q^1188 +56*p^64*q^1190+52372*p^109*q^1144+86076*p^107*q^1146+4504560*p^105*q^1148+ 73859543*p^103*q^1150+1083006596*p^101*q^1152+14049366130*p^99*q^1154+ 164890048142*p^97*q^1156+1715433601109*p^95*q^1158+15775914429782*p^93*q^1160+ 119381405323388*p^91*q^1162+564703032106014*p^89*q^1164+1084253504023999*p^87*q ^1166+637339902119898*p^85*q^1168+141943973998867*p^83*q^1170+18621724171592*p^ 81*q^1172+1994961525866*p^79*q^1174+195320303012*p^77*q^1176+17428341086*p^75*q ^1178+1262275820*p^73*q^1180+101895019*p^71*q^1182+3594682*p^69*q^1184+309042*p ^67*q^1186+7448*p^65*q^1188+8*p^63*q^1190+2992*p^110*q^1142+47690*p^108*q^1144+ 594302*p^106*q^1146+20707744*p^104*q^1148+260188118*p^102*q^1150+3763320534*p^ 100*q^1152+46141201438*p^98*q^1154+510690813677*p^96*q^1156+5023253093976*p^94* q^1158+42787784702790*p^92*q^1160+272070525923274*p^90*q^1162+883043298203524*p ^88*q^1164+973455891219244*p^86*q^1166+341667087685554*p^84*q^1168+ 56145436085298*p^82*q^1170+6511459680555*p^80*q^1172+664312431146*p^78*q^1174+ 62341069264*p^76*q^1176+5296507354*p^74*q^1178+332897473*p^72*q^1180+26126644*p ^70*q^1182+330040*p^68*q^1184+99088*p^66*q^1186+76*p^64*q^1188+50*p^111*q^1140+ 38272*p^109*q^1142+57892*p^107*q^1144+3178618*p^105*q^1146+66182920*p^103*q^ 1148+951789090*p^101*q^1150+12483213630*p^99*q^1152+147339563929*p^97*q^1154+ 1537896355946*p^95*q^1156+14262508848348*p^93*q^1158+108842335401546*p^91*q^ 1160+533499227928734*p^89*q^1162+1072603839265288*p^87*q^1164+669928523562679*p ^85*q^1166+154002821254616*p^83*q^1168+20621657031995*p^81*q^1170+2215634985026 *p^79*q^1172+218223485182*p^77*q^1174+19429455614*p^75*q^1176+1460899706*p^73*q ^1178+106810548*p^71*q^1180+4611882*p^69*q^1182+143734*p^67*q^1184+10240*p^65*q ^1186+168*p^110*q^1140+122296*p^108*q^1142+496846*p^106*q^1144+17362594*p^104*q ^1146+229872227*p^102*q^1148+3330415980*p^100*q^1150+41046384236*p^98*q^1152+ 457956607060*p^96*q^1154+4514585036980*p^94*q^1156+38874828269660*p^92*q^1158+ 250933647613039*p^90*q^1160+853524635541872*p^88*q^1162+989669097364246*p^86*q^ 1164+366409819095662*p^84*q^1166+61532022591070*p^82*q^1168+7237156987922*p^80* q^1170+740094242535*p^78*q^1172+70115719350*p^76*q^1174+6003888872*p^74*q^1176+ 373050560*p^72*q^1178+31747004*p^70*q^1180+614424*p^68*q^1182+128176*p^66*q^ 1184+612*p^64*q^1186+26896*p^109*q^1140+71068*p^107*q^1142+2542000*p^105*q^1144 +62430894*p^103*q^1146+844305140*p^101*q^1148+11173837273*p^99*q^1150+ 131750535460*p^97*q^1152+1383455506691*p^95*q^1154+12854600438190*p^93*q^1156+ 99602806242343*p^91*q^1158+500200378178158*p^89*q^1160+1064448762411987*p^87*q^ 1162+698659320906482*p^85*q^1164+167658553838036*p^83*q^1166+22750535684332*p^ 81*q^1168+2469817135308*p^79*q^1170+243485769070*p^77*q^1172+21827505860*p^75*q ^1174+1697512420*p^73*q^1176+112370122*p^71*q^1178+6302948*p^69*q^1180+58070*p^ 67*q^1182+13856*p^65*q^1184+914*p^110*q^1138+131372*p^108*q^1140+367844*p^106*q ^1142+14082097*p^104*q^1144+202049124*p^102*q^1146+2939028224*p^100*q^1148+ 36582500256*p^98*q^1150+409369813394*p^96*q^1152+4066503102012*p^94*q^1154+ 35156897101468*p^92*q^1156+232207664340610*p^90*q^1158+818030620794811*p^88*q^ 1160+1009625139102312*p^86*q^1162+390318012949226*p^84*q^1164+67655775709244*p^ 82*q^1166+8017916289223*p^80*q^1168+825723676192*p^78*q^1170+78610176553*p^76*q ^1172+6748593464*p^74*q^1174+426811726*p^72*q^1176+36868678*p^70*q^1178+831456* p^68*q^1180+73796*p^66*q^1182+1484*p^64*q^1184+5508*p^109*q^1138+194292*p^107*q ^1140+2254632*p^105*q^1142+55552936*p^103*q^1144+741966578*p^101*q^1146+ 9943972676*p^99*q^1148+117601212275*p^97*q^1150+1240385778252*p^95*q^1152+ 11614364142237*p^93*q^1154+90683367081978*p^91*q^1156+470675111471103*p^89*q^ 1158+1047130723093294*p^87*q^1160+731063021912135*p^85*q^1162+181406026034630*p ^83*q^1164+25167330012150*p^81*q^1166+2741833731342*p^79*q^1168+271955140082*p^ 77*q^1170+24465012468*p^75*q^1172+1960264604*p^73*q^1174+118213918*p^71*q^1176+ 7800885*p^69*q^1178+76772*p^67*q^1180+34392*p^65*q^1182+20*p^63*q^1184+80*p^110 *q^1136+130916*p^108*q^1138+296194*p^106*q^1140+10838758*p^104*q^1142+183690412 *p^102*q^1144+2612355288*p^100*q^1146+32599434579*p^98*q^1148+367291412384*p^96 *q^1150+3653949551618*p^94*q^1152+31906064511258*p^92*q^1154+213638577584078*p^ 90*q^1156+786677811922526*p^88*q^1158+1020745443542210*p^86*q^1160+ 417128985052674*p^84*q^1162+74012184680740*p^82*q^1164+8906548077588*p^80*q^ 1166+919904672553*p^78*q^1168+88253270858*p^76*q^1170+7568664364*p^74*q^1172+ 497955600*p^72*q^1174+39846807*p^70*q^1176+1276048*p^68*q^1178+27466*p^66*q^ 1180+884*p^64*q^1182+7606*p^109*q^1136+293704*p^107*q^1138+1802870*p^105*q^1140 +49493974*p^103*q^1142+651919084*p^101*q^1144+8836607948*p^99*q^1146+ 104968538446*p^97*q^1148+1114434313632*p^95*q^1150+10459499107660*p^93*q^1152+ 82833471933542*p^91*q^1154+439741267502648*p^89*q^1156+1033380169649195*p^87*q^ 1158+758666168873764*p^85*q^1160+197001874648733*p^83*q^1162+27728694368176*p^ 81*q^1164+3054086214015*p^79*q^1166+303097552850*p^77*q^1168+27580912414*p^75*q ^1170+2248526624*p^73*q^1172+126988398*p^71*q^1174+10401706*p^69*q^1176+124778* p^67*q^1178+28216*p^65*q^1180+156*p^63*q^1182+58376*p^108*q^1136+349168*p^106*q ^1138+9159592*p^104*q^1140+165889810*p^102*q^1142+2310697353*p^100*q^1144+ 29129363616*p^98*q^1146+328350812266*p^96*q^1148+3291835483262*p^94*q^1150+ 28833014849171*p^92*q^1152+197170758192094*p^90*q^1154+750528936423660*p^88*q^ 1156+1035498618434580*p^86*q^1158+442555913821890*p^84*q^1160+81245966286280*p^ 82*q^1162+9857378456121*p^80*q^1164+1026120505368*p^78*q^1166+98752261538*p^76* q^1168+8463666232*p^74*q^1170+586958418*p^72*q^1172+41803712*p^70*q^1174+ 1570557*p^68*q^1176+8620*p^66*q^1178+5444*p^64*q^1180+2504*p^109*q^1134+391844* p^107*q^1136+1547394*p^105*q^1138+41284828*p^103*q^1140+574148546*p^101*q^1142+ 7855862412*p^99*q^1144+93695155526*p^97*q^1146+998808241494*p^95*q^1148+ 9444877106914*p^93*q^1150+75294045655286*p^91*q^1152+412183308651189*p^89*q^ 1154+1011233971099584*p^87*q^1156+789907931714744*p^85*q^1158+212560627473756*p ^83*q^1160+30647761279785*p^81*q^1162+3390238178268*p^79*q^1164+338687170910*p^ 77*q^1166+31044590188*p^75*q^1168+2566315342*p^73*q^1170+140871990*p^71*q^1172+ 12627175*p^69*q^1174+207418*p^67*q^1176+14092*p^65*q^1178+20*p^63*q^1180+42504* p^108*q^1134+526114*p^106*q^1136+7462378*p^104*q^1138+150302683*p^102*q^1140+ 2048779034*p^100*q^1142+25920351128*p^98*q^1144+294234532230*p^96*q^1146+ 2955775560033*p^94*q^1148+26146571376018*p^92*q^1150+180952684618731*p^90*q^ 1152+718295175532394*p^88*q^1154+1041378620726630*p^86*q^1156+471072775984208*p ^84*q^1158+88690316660697*p^82*q^1160+10941015428490*p^80*q^1162+1141336756894* p^78*q^1164+110393256528*p^76*q^1166+9458346089*p^74*q^1168+685040144*p^72*q^ 1170+42489365*p^70*q^1172+2167000*p^68*q^1174+14658*p^66*q^1176+7384*p^64*q^ 1178+8*p^62*q^1180+268*p^109*q^1132+304388*p^107*q^1134+1219064*p^105*q^1136+ 34557098*p^103*q^1138+510238340*p^101*q^1140+6972500006*p^99*q^1142+83666514706 *p^97*q^1144+897242239116*p^95*q^1146+8503194984798*p^93*q^1148+68684889621709* p^91*q^1150+383727340326848*p^89*q^1152+992447856755507*p^87*q^1154+ 815746672752392*p^85*q^1156+230134670681665*p^83*q^1158+33726270464178*p^81*q^ 1160+3775187603117*p^79*q^1162+377856048682*p^77*q^1164+35098962777*p^75*q^1166 +2899786524*p^73*q^1168+163174793*p^71*q^1170+14299640*p^69*q^1172+301756*p^67* q^1174+3392*p^65*q^1176+416*p^63*q^1178+40*p^110*q^1130+28770*p^108*q^1132+ 792664*p^106*q^1134+6685244*p^104*q^1136+135403624*p^102*q^1138+1812076022*p^ 100*q^1140+23174996546*p^98*q^1142+263000838338*p^96*q^1144+2662153526534*p^94* q^1146+23605045918250*p^92*q^1148+166637003176680*p^90*q^1150+682055491147276*p ^88*q^1152+1050500252994924*p^86*q^1154+497849538558195*p^84*q^1156+ 97176904764206*p^82*q^1158+12098730026273*p^80*q^1160+1273133902628*p^78*q^1162 +123251311605*p^76*q^1164+10644452582*p^74*q^1166+807070727*p^72*q^1168+ 44622172*p^70*q^1170+3135061*p^68*q^1172+23688*p^66*q^1174+4500*p^64*q^1176+210 *p^109*q^1130+196704*p^107*q^1132+1287096*p^105*q^1134+28549308*p^103*q^1136+ 451469708*p^101*q^1138+6186147268*p^99*q^1140+74618279071*p^97*q^1142+ 803604189322*p^95*q^1144+7672659852123*p^93*q^1146+62341080891718*p^91*q^1148+ 358484214533475*p^89*q^1150+965938114717346*p^87*q^1152+845036104514395*p^85*q^ 1154+247597336423926*p^83*q^1156+37221768386581*p^81*q^1158+4187011313236*p^79* q^1160+421813123235*p^77*q^1162+39399820460*p^75*q^1164+3235654278*p^73*q^1166+ 189736862*p^71*q^1168+14582586*p^69*q^1170+324966*p^67*q^1172+1134*p^65*q^1174+ 1336*p^63*q^1176+12*p^110*q^1128+5964*p^108*q^1130+930722*p^106*q^1132+5322022* p^104*q^1134+116847616*p^102*q^1136+1603807956*p^100*q^1138+20588014571*p^98*q^ 1140+235564727362*p^96*q^1142+2389937632704*p^94*q^1144+21389326819000*p^92*q^ 1146+152581570296898*p^90*q^1148+649958423849150*p^88*q^1150+1050488447791548*p ^86*q^1152+527673631976828*p^84*q^1154+105875080260928*p^82*q^1156+ 13417494820130*p^80*q^1158+1415820629995*p^78*q^1160+137778395034*p^76*q^1162+ 11996835675*p^74*q^1164+940465346*p^72*q^1166+46628068*p^70*q^1168+4137024*p^68 *q^1170+56060*p^66*q^1172+1896*p^64*q^1174+8*p^62*q^1176+612*p^109*q^1128+ 177922*p^107*q^1130+1502744*p^105*q^1132+24851368*p^103*q^1134+411407902*p^101* q^1136+5510276497*p^99*q^1138+66744802332*p^97*q^1140+721894299022*p^95*q^1142+ 6906684701340*p^93*q^1144+56790292297828*p^91*q^1146+332597694284748*p^89*q^ 1148+943100042246473*p^87*q^1150+868077173080542*p^85*q^1152+267245856958473*p^ 83*q^1154+40911819384566*p^81*q^1156+4660230721370*p^79*q^1158+470469900960*p^ 77*q^1160+44364314000*p^75*q^1162+3630419012*p^73*q^1164+226751746*p^71*q^1166+ 15898090*p^69*q^1168+569654*p^67*q^1170+1560*p^65*q^1172+812*p^63*q^1174+8*p^ 110*q^1126+4418*p^108*q^1128+721492*p^106*q^1130+4727706*p^104*q^1132+101231592 *p^102*q^1134+1407488642*p^100*q^1136+18330794530*p^98*q^1138+210265731592*p^96 *q^1140+2150167580718*p^94*q^1142+19296204513784*p^92*q^1144+140178829160172*p^ 90*q^1146+614397536668451*p^88*q^1148+1054080582435368*p^86*q^1150+ 555231808058916*p^84*q^1152+115749923475410*p^82*q^1154+14824246042599*p^80*q^ 1156+1578141146676*p^78*q^1158+153690278554*p^76*q^1160+13588656516*p^74*q^1162 +1071236712*p^72*q^1164+51345210*p^70*q^1166+4447656*p^68*q^1168+41506*p^66*q^ 1170+40*p^64*q^1172+152*p^62*q^1174+232*p^109*q^1126+66654*p^107*q^1128+1990358 *p^105*q^1130+21063850*p^103*q^1132+362753630*p^101*q^1134+4896725330*p^99*q^ 1136+59562376031*p^97*q^1138+646371657666*p^95*q^1140+6230546808577*p^93*q^1142 +51496578340682*p^91*q^1144+309709604806895*p^89*q^1146+913039776726072*p^87*q^ 1148+894765306369865*p^85*q^1150+286540108289538*p^83*q^1152+45088237110147*p^ 81*q^1154+5165611692800*p^79*q^1156+525041108625*p^77*q^1158+49626483618*p^75*q ^1160+4044224898*p^73*q^1162+273726072*p^71*q^1164+15814560*p^69*q^1166+909142* p^67*q^1168+7828*p^65*q^1170+636*p^63*q^1172+12*p^110*q^1124+4388*p^108*q^1126+ 716590*p^106*q^1128+4382528*p^104*q^1130+86306416*p^102*q^1132+1257653128*p^100 *q^1134+16302263523*p^98*q^1136+188369323526*p^96*q^1138+1930346648167*p^94*q^ 1140+17469342588270*p^92*q^1142+128119243163519*p^90*q^1144+582840620127476*p^ 88*q^1146+1048106857718933*p^86*q^1148+586087741407714*p^84*q^1150+ 125826938596308*p^82*q^1152+16428826873504*p^80*q^1154+1754748227042*p^78*q^ 1156+171939031450*p^76*q^1158+15387712531*p^74*q^1160+1221092224*p^72*q^1162+ 58742254*p^70*q^1164+5066354*p^68*q^1166+72942*p^66*q^1168+44*p^64*q^1170+80*p^ 62*q^1172+160*p^109*q^1124+44336*p^107*q^1126+1951118*p^105*q^1128+17970134*p^ 103*q^1130+325030316*p^101*q^1132+4340520763*p^99*q^1134+53140592052*p^97*q^ 1136+580110194737*p^95*q^1138+5603919832174*p^93*q^1140+46843904017048*p^91*q^ 1142+286526391939758*p^89*q^1144+886773308820871*p^87*q^1146+914260705216748*p^ 85*q^1148+308329639631959*p^83*q^1150+49472726604706*p^81*q^1152+5742976069957* p^79*q^1154+585179085534*p^77*q^1156+55575037780*p^75*q^1158+4545428410*p^73*q^ 1160+322870230*p^71*q^1162+15655952*p^69*q^1164+1163162*p^67*q^1166+7060*p^65*q ^1168+8*p^61*q^1172+3028*p^108*q^1124+433620*p^106*q^1126+4468574*p^104*q^1128+ 74958356*p^102*q^1130+1110984438*p^100*q^1132+14521696080*p^98*q^1134+ 168275804489*p^96*q^1136+1736491892294*p^94*q^1138+15753642966961*p^92*q^1140+ 117469234382572*p^90*q^1142+548784589924724*p^88*q^1144+1045695458630014*p^86*q ^1146+613828716291805*p^84*q^1148+137267142833952*p^82*q^1150+18131273929722*p^ 80*q^1152+1956012065796*p^78*q^1154+191758644787*p^76*q^1156+17450543320*p^74*q ^1158+1366901425*p^72*q^1160+71077564*p^70*q^1162+5672788*p^68*q^1164+138372*p^ 66*q^1166+604*p^64*q^1168+112*p^62*q^1170+216*p^109*q^1122+26966*p^107*q^1124+ 2089807*p^105*q^1126+16325436*p^103*q^1128+284406468*p^101*q^1130+3856083022*p^ 99*q^1132+47435842149*p^97*q^1134+519175979254*p^95*q^1136+5053695394757*p^93*q ^1138+42426121202628*p^91*q^1140+265944880472400*p^89*q^1142+854311284498380*p^ 87*q^1144+937310800562332*p^85*q^1146+329445825621824*p^83*q^1148+ 54460218799415*p^81*q^1150+6362709827082*p^79*q^1152+652925469884*p^77*q^1154+ 62134621318*p^75*q^1156+5131044674*p^73*q^1158+381567196*p^71*q^1160+16068384*p ^69*q^1162+1277484*p^67*q^1164+5824*p^65*q^1166+4*p^61*q^1170+8*p^110*q^1120+ 1760*p^108*q^1122+278982*p^106*q^1124+4532434*p^104*q^1126+63355616*p^102*q^ 1128+990418280*p^100*q^1130+12908343537*p^98*q^1132+150561034310*p^96*q^1134+ 1557877295146*p^94*q^1136+14252629214090*p^92*q^1138+107157375610528*p^90*q^ 1140+518424231699678*p^88*q^1142+1034280630976176*p^86*q^1144+644960487353638*p ^84*q^1146+148833330856765*p^82*q^1148+20072151626170*p^80*q^1150+2172217326875 *p^78*q^1152+214380803432*p^76*q^1154+19617314531*p^74*q^1156+1524384690*p^72*q ^1158+85122862*p^70*q^1160+5550818*p^68*q^1162+241082*p^66*q^1164+1312*p^64*q^ 1166+24*p^109*q^1120+23978*p^107*q^1122+1772778*p^105*q^1124+14206513*p^103*q^ 1126+249091794*p^101*q^1128+3418433085*p^99*q^1130+42264618972*p^97*q^1132+ 465925274991*p^95*q^1134+4544061180882*p^93*q^1136+38560788481352*p^91*q^1138+ 245344902916014*p^89*q^1140+825423464085325*p^87*q^1142+952760920093782*p^85*q^ 1144+353195111587981*p^83*q^1146+59653311898050*p^81*q^1148+7071862588852*p^79* q^1150+727581025566*p^77*q^1152+69484696635*p^75*q^1154+5848100394*p^73*q^1156+ 440734956*p^71*q^1158+17912758*p^69*q^1160+1671931*p^67*q^1162+14654*p^65*q^ 1164+16*p^63*q^1166+8*p^61*q^1168+2020*p^108*q^1120+179558*p^106*q^1122+4907448 *p^104*q^1124+57708718*p^102*q^1126+885721831*p^100*q^1128+11527388570*p^98*q^ 1130+134631090882*p^96*q^1132+1401005631224*p^94*q^1134+12844978287545*p^92*q^ 1136+98081543489702*p^90*q^1138+486138751444219*p^88*q^1140+1026116905523926*p^ 86*q^1142+672469958282471*p^84*q^1144+161970515672026*p^82*q^1146+ 22131500436554*p^80*q^1148+2420124140800*p^78*q^1150+239267146210*p^76*q^1152+ 22181770380*p^74*q^1154+1698496206*p^72*q^1156+105692572*p^70*q^1158+5381596*p^ 68*q^1160+275022*p^66*q^1162+212*p^64*q^1164+188*p^109*q^1118+14574*p^107*q^ 1120+1259382*p^105*q^1122+12893880*p^103*q^1124+212978768*p^101*q^1126+ 3015997854*p^99*q^1128+37613302459*p^97*q^1130+416504139894*p^95*q^1132+ 4095011284085*p^93*q^1134+34881631303302*p^91*q^1136+227125045966985*p^89*q^ 1138+791242084220918*p^87*q^1140+971457772714564*p^85*q^1142+376077379761612*p^ 83*q^1144+65545981597843*p^81*q^1146+7826367528950*p^79*q^1148+811458973276*p^ 77*q^1150+77481817444*p^75*q^1152+6623187388*p^73*q^1154+500649548*p^71*q^1156+ 20131934*p^69*q^1158+1812850*p^67*q^1160+32414*p^65*q^1162+156*p^63*q^1164+728* p^108*q^1118+129528*p^106*q^1120+5090998*p^104*q^1122+50002664*p^102*q^1124+ 784412892*p^100*q^1126+10259838467*p^98*q^1128+120495231376*p^96*q^1130+ 1256906965669*p^94*q^1132+11615167841598*p^92*q^1134+89328476490382*p^90*q^1136 +457546158996598*p^88*q^1138+1009265851460475*p^86*q^1140+703186283611318*p^84* q^1142+175175212692773*p^82*q^1144+24474105051726*p^80*q^1146+2686946622247*p^ 78*q^1148+267473922104*p^76*q^1150+24849516652*p^74*q^1152+1911382610*p^72*q^ 1154+127058150*p^70*q^1156+5170744*p^68*q^1158+365518*p^66*q^1160+1120*p^64*q^ 1162+8*p^109*q^1116+13796*p^107*q^1118+981710*p^105*q^1120+12103076*p^103*q^ 1122+189531202*p^101*q^1124+2696044154*p^99*q^1126+33568263728*p^97*q^1128+ 373785190765*p^95*q^1130+3681483002934*p^93*q^1132+31671734098658*p^91*q^1134+ 208943530101454*p^89*q^1136+760887554621729*p^87*q^1138+981959203038510*p^85*q^ 1140+401678464901319*p^83*q^1142+71687656809540*p^81*q^1144+8692584416476*p^79* q^1146+903785927422*p^77*q^1148+86736663922*p^75*q^1150+7579540254*p^73*q^1152+ 565351192*p^71*q^1154+25455758*p^69*q^1156+1990560*p^67*q^1158+54728*p^65*q^ 1160+1844*p^108*q^1116+99940*p^106*q^1118+4248322*p^104*q^1120+44269350*p^102*q ^1122+688492048*p^100*q^1124+9101982754*p^98*q^1126+107476849600*p^96*q^1128+ 1129164552460*p^94*q^1130+10462054943928*p^92*q^1132+81614350176982*p^90*q^1134 +427431761242864*p^88*q^1136+996014218383454*p^86*q^1138+729582745015995*p^84*q ^1140+190111325862742*p^82*q^1142+26951988355879*p^80*q^1144+2991239344418*p^78 *q^1146+298286261836*p^76*q^1148+27844595636*p^74*q^1150+2146314002*p^72*q^1152 +149145106*p^70*q^1154+5040262*p^68*q^1156+442762*p^66*q^1158+2216*p^64*q^1160+ 8*p^62*q^1162+8436*p^107*q^1116+608696*p^105*q^1118+12577780*p^103*q^1120+ 166761667*p^101*q^1122+2388092618*p^99*q^1124+29955025762*p^97*q^1126+ 334356435440*p^95*q^1128+3316753512421*p^93*q^1130+28633219146958*p^91*q^1132+ 192932623139151*p^89*q^1134+725828153070116*p^87*q^1136+995990399816051*p^85*q^ 1138+425963072065514*p^83*q^1140+78626256945765*p^81*q^1142+9614687602312*p^79* q^1144+1007487935376*p^77*q^1146+96816852114*p^75*q^1148+8623443936*p^73*q^1150 +629904424*p^71*q^1152+32259968*p^69*q^1154+1790712*p^67*q^1156+61565*p^65*q^ 1158+44*p^63*q^1160+496*p^108*q^1114+77616*p^106*q^1116+3857262*p^104*q^1118+ 38439814*p^102*q^1120+604206126*p^100*q^1122+8108962570*p^98*q^1124+96054662606 *p^96*q^1126+1012639878906*p^94*q^1128+9453837808484*p^92*q^1130+74229590545924 *p^90*q^1132+400749658064336*p^88*q^1134+974275156833307*p^86*q^1136+ 759339781587366*p^84*q^1138+205031334093054*p^82*q^1140+29772634035524*p^80*q^ 1142+3319685330836*p^78*q^1144+333609724590*p^76*q^1146+31129263955*p^74*q^1148 +2443339062*p^72*q^1150+176547378*p^70*q^1152+5498106*p^68*q^1154+612472*p^66*q ^1156+8272*p^64*q^1158+11260*p^107*q^1114+529974*p^105*q^1116+11597602*p^103*q^ 1118+147764436*p^101*q^1120+2130212509*p^99*q^1122+26686309840*p^97*q^1124+ 300024935853*p^95*q^1126+2980115767252*p^93*q^1128+25971166743783*p^91*q^1130+ 177101726531886*p^89*q^1132+694655833749371*p^87*q^1134+1001143522650672*p^85*q ^1136+453281537685629*p^83*q^1138+85809543254374*p^81*q^1140+10668008155691*p^ 79*q^1142+1120979579236*p^77*q^1144+108273567058*p^75*q^1146+9744907168*p^73*q^ 1148+702152548*p^71*q^1150+38524512*p^69*q^1152+1601904*p^67*q^1154+77640*p^65* q^1156+56*p^63*q^1158+20*p^108*q^1112+59204*p^106*q^1114+2661906*p^104*q^1116+ 35331744*p^102*q^1118+533344437*p^100*q^1120+7190692074*p^98*q^1122+85707064634 *p^96*q^1124+909326891940*p^94*q^1126+8512237037469*p^92*q^1128+67713580110474* p^90*q^1130+373146619765013*p^88*q^1132+956176289170268*p^86*q^1134+ 783796643572815*p^84*q^1136+221903643493570*p^82*q^1138+32742635287755*p^80*q^ 1140+3694209329298*p^78*q^1142+372007721141*p^76*q^1144+34838067242*p^74*q^1146 +2818645396*p^72*q^1148+201352246*p^70*q^1150+7315434*p^68*q^1152+633456*p^66*q ^1154+9515*p^64*q^1156+8*p^109*q^1110+7798*p^107*q^1112+393508*p^105*q^1114+ 11498922*p^103*q^1116+130840264*p^101*q^1118+1880343874*p^99*q^1120+23845983266 *p^97*q^1122+268212788428*p^95*q^1124+2684570522340*p^93*q^1126+23460429267830* p^91*q^1128+163117601819425*p^89*q^1130+659753968972388*p^87*q^1132+ 1009754448134962*p^85*q^1134+478700389768316*p^83*q^1136+93960985478507*p^81*q^ 1138+11789966692642*p^79*q^1140+1249389195678*p^77*q^1142+120982715314*p^75*q^ 1144+11010756642*p^73*q^1146+773542678*p^71*q^1148+48109528*p^69*q^1150+1348094 *p^67*q^1152+126386*p^65*q^1154+668*p^63*q^1156+48*p^108*q^1110+55446*p^106*q^ 1112+2212908*p^104*q^1114+31892470*p^102*q^1116+468678130*p^100*q^1118+ 6399557053*p^98*q^1120+76496896650*p^96*q^1122+815110248632*p^94*q^1124+ 7687381557006*p^92*q^1126+61497290982676*p^90*q^1128+348606972679546*p^88*q^ 1130+930552647549214*p^86*q^1132+811621308383668*p^84*q^1134+238559666419261*p^ 82*q^1136+36124273376512*p^80*q^1138+4095986352398*p^78*q^1140+415470601166*p^ 76*q^1142+38844280303*p^74*q^1144+3226802994*p^72*q^1146+229828072*p^70*q^1148+ 8691720*p^68*q^1150+548558*p^66*q^1152+10198*p^64*q^1154+1116*p^107*q^1110+ 310000*p^105*q^1112+9605324*p^103*q^1114+114841434*p^101*q^1116+1668094393*p^99 *q^1118+21223824134*p^97*q^1120+240520438696*p^95*q^1122+2411066784948*p^93*q^ 1124+21266788410800*p^91*q^1126+149407322340352*p^89*q^1128+628517756303137*p^ 87*q^1130+1009572681079352*p^85*q^1132+507226113581748*p^83*q^1134+ 102321598694394*p^81*q^1136+13073781966685*p^79*q^1138+1389478125326*p^77*q^ 1140+135528622848*p^75*q^1142+12379076072*p^73*q^1144+880675458*p^71*q^1146+ 57393452*p^69*q^1148+1537330*p^67*q^1150+190848*p^65*q^1152+1476*p^63*q^1154+ 144*p^108*q^1108+60474*p^106*q^1110+1787714*p^104*q^1112+30655404*p^102*q^1114+ 420320398*p^100*q^1116+5698296294*p^98*q^1118+68385256546*p^96*q^1120+ 732240884452*p^94*q^1122+6919235377835*p^92*q^1124+56034840833450*p^90*q^1126+ 323499377292217*p^88*q^1128+908294015286626*p^86*q^1130+833607308541841*p^84*q^ 1132+257390727595934*p^82*q^1134+39674633580842*p^80*q^1136+4555770179604*p^78* q^1138+463045485573*p^76*q^1140+43451469202*p^74*q^1142+3709243022*p^72*q^1144+ 253583858*p^70*q^1146+11291058*p^68*q^1148+468892*p^66*q^1150+14708*p^64*q^1152 +16*p^62*q^1154+1212*p^107*q^1108+250922*p^105*q^1110+7864128*p^103*q^1112+ 101253962*p^101*q^1114+1461913354*p^99*q^1116+18891080269*p^97*q^1118+ 214578377474*p^95*q^1120+2169604068951*p^93*q^1122+19191534874300*p^91*q^1124+ 137322370903167*p^89*q^1126+594282047459524*p^87*q^1128+1012601632890271*p^85*q ^1130+533486467873122*p^83*q^1132+111794710965526*p^81*q^1134+14431974472920*p^ 79*q^1136+1548309138430*p^77*q^1138+151330805530*p^75*q^1140+13870137897*p^73*q ^1142+999012034*p^71*q^1144+68350134*p^69*q^1146+1762368*p^67*q^1148+161586*p^ 65*q^1150+894*p^63*q^1152+16*p^108*q^1106+20186*p^106*q^1108+1368436*p^104*q^ 1110+28638738*p^102*q^1112+369591116*p^100*q^1114+5063258360*p^98*q^1116+ 61101765618*p^96*q^1118+656571706699*p^94*q^1120+6247159956984*p^92*q^1122+ 50832757291525*p^90*q^1124+301336035573080*p^88*q^1126+879307317769939*p^86*q^ 1128+858644876090864*p^84*q^1130+275851512953028*p^82*q^1132+43705158898518*p^ 80*q^1134+5048306688244*p^78*q^1136+516580616092*p^76*q^1138+48541643816*p^74*q ^1140+4234449446*p^72*q^1142+279866572*p^70*q^1144+14012760*p^68*q^1146+373074* p^66*q^1148+42620*p^64*q^1150+164*p^62*q^1152+1184*p^107*q^1106+300728*p^105*q^ 1108+6898166*p^103*q^1110+90302768*p^101*q^1112+1304674702*p^99*q^1114+ 16854278766*p^97*q^1116+192401856902*p^95*q^1118+1948277493624*p^93*q^1120+ 17384719188948*p^91*q^1122+125509043861940*p^89*q^1124+563772129283757*p^87*q^ 1126+1006657787294148*p^85*q^1128+562817278100774*p^83*q^1130+121492235684840*p ^81*q^1132+15991073384474*p^79*q^1134+1721390654318*p^77*q^1136+169707838206*p^ 75*q^1138+15518193660*p^73*q^1140+1165590487*p^71*q^1142+80244010*p^69*q^1144+ 2325176*p^67*q^1146+163302*p^65*q^1148+812*p^63*q^1150+32*p^108*q^1104+14632*p^ 106*q^1106+1079890*p^104*q^1108+24668172*p^102*q^1110+329593795*p^100*q^1112+ 4485945604*p^98*q^1114+54497143999*p^96*q^1116+589072733072*p^94*q^1118+ 5619940868170*p^92*q^1120+46251080515282*p^90*q^1122+278762552124488*p^88*q^ 1124+854041924878030*p^86*q^1126+877224353700399*p^84*q^1128+296619460818792*p^ 82*q^1130+47932407474410*p^80*q^1132+5609412767822*p^78*q^1134+575136696770*p^ 76*q^1136+54285883762*p^74*q^1138+4809923145*p^72*q^1140+306394440*p^70*q^1142+ 17222314*p^68*q^1144+340560*p^66*q^1146+39032*p^64*q^1148+36*p^62*q^1150+596*p^ 107*q^1104+179038*p^105*q^1106+5390690*p^103*q^1108+82692527*p^101*q^1110+ 1147099480*p^99*q^1112+14996560584*p^97*q^1114+171781747538*p^95*q^1116+ 1753197023697*p^93*q^1118+15682996806290*p^91*q^1120+115136581476184*p^89*q^ 1122+530811526707166*p^87*q^1124+1004257886606998*p^85*q^1126+589186214507368*p ^83*q^1128+132429549985539*p^81*q^1130+17636081667010*p^79*q^1132+1917067092883 *p^77*q^1134+189309250874*p^75*q^1136+17339427294*p^73*q^1138+1345966296*p^71*q ^1140+90401720*p^69*q^1142+3013096*p^67*q^1144+127654*p^65*q^1146+5976*p^63*q^ 1148+8*p^61*q^1150+8854*p^106*q^1104+1143420*p^104*q^1106+22775242*p^102*q^1108 +290847802*p^100*q^1110+3986313763*p^98*q^1112+48733301640*p^96*q^1114+ 527859347343*p^94*q^1116+5070786823942*p^92*q^1118+41918344257368*p^90*q^1120+ 258842598732802*p^88*q^1122+822510455061351*p^86*q^1124+899025277883096*p^84*q^ 1126+316788356649322*p^82*q^1128+52726531618408*p^80*q^1130+6213681860907*p^78* q^1132+642009227466*p^76*q^1134+60869705308*p^74*q^1136+5445359548*p^72*q^1138+ 347355588*p^70*q^1140+21759272*p^68*q^1142+412640*p^66*q^1144+42082*p^64*q^1146 +24*p^62*q^1148+546*p^107*q^1102+117994*p^105*q^1104+4352024*p^103*q^1106+ 72887586*p^101*q^1108+1023680199*p^99*q^1110+13353496506*p^97*q^1112+ 153841248175*p^95*q^1114+1573799000838*p^93*q^1116+14193651692179*p^91*q^1118+ 105059787448782*p^89*q^1120+501472225996334*p^87*q^1122+992833204741070*p^85*q^ 1124+618887075505931*p^83*q^1126+143537892458770*p^81*q^1128+19516803187958*p^ 79*q^1130+2129162281794*p^77*q^1132+211654282060*p^75*q^1134+19306734144*p^73*q ^1136+1562850718*p^71*q^1138+98967258*p^69*q^1140+3622834*p^67*q^1142+79690*p^ 65*q^1144+8076*p^63*q^1146+7164*p^106*q^1102+967290*p^104*q^1104+18883530*p^102 *q^1106+258906302*p^100*q^1108+3522535614*p^98*q^1110+43445210105*p^96*q^1112+ 473558791792*p^94*q^1114+4559877122200*p^92*q^1116+38100251750080*p^90*q^1118+ 238837668991690*p^88*q^1120+794760755993924*p^86*q^1122+913418111278393*p^84*q^ 1124+339511535201298*p^82*q^1126+57726195196909*p^80*q^1128+6901063083974*p^78* q^1130+714867495852*p^76*q^1132+68278700534*p^74*q^1134+6135287917*p^72*q^1136+ 400988260*p^70*q^1138+26288922*p^68*q^1140+608200*p^66*q^1142+42482*p^64*q^1144 +392*p^62*q^1146+104*p^107*q^1100+75482*p^105*q^1102+3903552*p^103*q^1104+ 68295980*p^101*q^1106+912076124*p^99*q^1108+11904911030*p^97*q^1110+ 137513140202*p^95*q^1112+1415771434417*p^93*q^1114+12798424832584*p^91*q^1116+ 96181490138640*p^89*q^1118+470391625956532*p^87*q^1120+984901113864709*p^85*q^ 1122+644843875629554*p^83*q^1124+156106897314142*p^81*q^1126+21501096364078*p^ 79*q^1128+2370343845333*p^77*q^1130+235895133922*p^75*q^1132+21601735377*p^73*q ^1134+1802937932*p^71*q^1136+106026996*p^69*q^1138+4900586*p^67*q^1140+59926*p^ 65*q^1142+7256*p^63*q^1144+8*p^108*q^1098+5314*p^106*q^1100+692758*p^104*q^1102 +15914742*p^102*q^1104+224782564*p^100*q^1106+3111494541*p^98*q^1108+ 38762421276*p^96*q^1110+423657570483*p^94*q^1112+4112554600948*p^92*q^1114+ 34489909053581*p^90*q^1116+221133801183176*p^88*q^1118+761847513526701*p^86*q^ 1120+931041932399400*p^84*q^1122+361220803420777*p^82*q^1124+63405432537196*p^ 80*q^1126+7636560299180*p^78*q^1128+797205272340*p^76*q^1130+76496304540*p^74*q ^1132+6856248278*p^72*q^1134+463477592*p^70*q^1136+30992844*p^68*q^1138+651402* p^66*q^1140+26212*p^64*q^1142+1400*p^62*q^1144+51218*p^105*q^1100+3763700*p^103 *q^1102+59893234*p^101*q^1104+815721419*p^99*q^1106+10593902912*p^97*q^1108+ 123146208092*p^95*q^1110+1271032677914*p^93*q^1112+11578233193135*p^91*q^1114+ 87630904263606*p^89*q^1116+442623511687903*p^87*q^1118+968595970795402*p^85*q^ 1120+674063955253699*p^83*q^1122+168739366601278*p^81*q^1124+23770208694246*p^ 79*q^1126+2630895814780*p^77*q^1128+263743964448*p^75*q^1130+24145206394*p^73*q ^1132+2078813497*p^71*q^1134+119035086*p^69*q^1136+6203072*p^67*q^1138+114100*p ^65*q^1140+10312*p^63*q^1142+4*p^61*q^1144+2664*p^106*q^1098+530282*p^104*q^ 1100+13377178*p^102*q^1102+204184566*p^100*q^1104+2775950646*p^98*q^1106+ 34594693915*p^96*q^1108+380248169078*p^94*q^1110+3696541745139*p^92*q^1112+ 31323467199058*p^90*q^1114+203485835793093*p^88*q^1116+732446458894486*p^86*q^ 1118+940985044600560*p^84*q^1120+385678498971126*p^82*q^1122+69294526364793*p^ 80*q^1124+8477703225052*p^78*q^1126+887618191446*p^76*q^1128+85742942838*p^74*q ^1130+7675395672*p^72*q^1132+549428338*p^70*q^1134+33866910*p^68*q^1136+939124* p^66*q^1138+9116*p^64*q^1140+710*p^62*q^1142+136*p^107*q^1096+43246*p^105*q^ 1098+3042754*p^103*q^1100+52237590*p^101*q^1102+716231180*p^99*q^1104+ 9371962307*p^97*q^1106+109914301164*p^95*q^1108+1141848830792*p^93*q^1110+ 10431865188418*p^91*q^1112+80101139070996*p^89*q^1114+413625687208784*p^87*q^ 1116+955562218191877*p^85*q^1118+699113149081678*p^83*q^1120+183007659157243*p^ 81*q^1122+26152340675106*p^79*q^1124+2926701509034*p^77*q^1126+293578216186*p^ 75*q^1128+27076490299*p^73*q^1130+2353370722*p^71*q^1132+130418292*p^69*q^1134+ 8077958*p^67*q^1136+109668*p^65*q^1138+7804*p^63*q^1140+160*p^61*q^1142+352*p^ 106*q^1096+317700*p^104*q^1098+12383858*p^102*q^1100+182536944*p^100*q^1102+ 2467741935*p^98*q^1104+30919095030*p^96*q^1106+340289820858*p^94*q^1108+ 3334009854174*p^92*q^1110+28332644338585*p^90*q^1112+187973560078646*p^88*q^ 1114+698753830541745*p^86*q^1116+953804197886088*p^84*q^1118+408797808174868*p^ 82*q^1120+75964443961554*p^80*q^1122+9372390767165*p^78*q^1124+989745107462*p^ 76*q^1126+95886320115*p^74*q^1128+8547566760*p^72*q^1130+645685627*p^70*q^1132+ 37121234*p^68*q^1134+1194700*p^66*q^1136+16968*p^64*q^1138+1782*p^62*q^1140+8*p ^109*q^1092+16*p^107*q^1094+28188*p^105*q^1096+2681216*p^103*q^1098+45324874*p^ 101*q^1100+635926038*p^99*q^1102+8346122378*p^97*q^1104+98398369610*p^95*q^1106 +1024850572488*p^93*q^1108+9431074384403*p^91*q^1110+72861576355978*p^89*q^1112 +387844171426210*p^87*q^1114+934544080689028*p^85*q^1116+727207542648968*p^83*q ^1118+197309659903762*p^81*q^1120+28881653874762*p^79*q^1122+3248161947076*p^77 *q^1124+328250097963*p^75*q^1126+30451152976*p^73*q^1128+2683241152*p^71*q^1130 +153879208*p^69*q^1132+9942824*p^67*q^1134+150488*p^65*q^1136+2766*p^63*q^1138+ 26*p^61*q^1140+1132*p^106*q^1094+284832*p^104*q^1096+10794042*p^102*q^1098+ 161358044*p^100*q^1100+2204821502*p^98*q^1102+27513103228*p^96*q^1104+ 305165315130*p^94*q^1106+2995327254389*p^92*q^1108+25705303632664*p^90*q^1110+ 172541016337885*p^88*q^1112+668798136506234*p^86*q^1114+958640931691692*p^84*q^ 1116+434724031503818*p^82*q^1118+82863596784226*p^80*q^1120+10392539203722*p^78 *q^1122+1100057830267*p^76*q^1124+107218609254*p^74*q^1126+9511630990*p^72*q^ 1128+751055420*p^70*q^1130+38654100*p^68*q^1132+1605396*p^66*q^1134+19752*p^64* q^1136+1476*p^62*q^1138+8*p^60*q^1140+4*p^109*q^1090+9688*p^105*q^1094+1798222* p^103*q^1096+39397296*p^101*q^1098+564206702*p^99*q^1100+7387966181*p^97*q^1102 +87864088442*p^95*q^1104+920517156834*p^93*q^1106+8495623249076*p^91*q^1108+ 66503697662776*p^89*q^1110+361160260258532*p^87*q^1112+917182532588250*p^85*q^ 1114+750327488118818*p^83*q^1116+213362699116645*p^81*q^1118+31741549771972*p^ 79*q^1120+3611867257888*p^77*q^1122+365845314352*p^75*q^1124+34205274385*p^73*q ^1126+3011302092*p^71*q^1128+182290382*p^69*q^1130+11389976*p^67*q^1132+208932* p^65*q^1134+1508*p^63*q^1136+208*p^61*q^1138+112*p^108*q^1090+588*p^106*q^1092+ 200558*p^104*q^1094+10115576*p^102*q^1096+144573756*p^100*q^1098+1961169328*p^ 98*q^1100+24573783084*p^96*q^1102+273131922934*p^94*q^1104+2700112005524*p^92*q ^1106+23236168422200*p^90*q^1108+158996011110224*p^88*q^1110+635044944277825*p^ 86*q^1112+966602886898914*p^84*q^1114+458878237995946*p^82*q^1116+ 90667437951752*p^80*q^1118+11481168961289*p^78*q^1120+1226217143238*p^76*q^1122 +119626981227*p^74*q^1124+10659674854*p^72*q^1126+873636892*p^70*q^1128+ 42199146*p^68*q^1130+2320512*p^66*q^1132+17960*p^64*q^1134+888*p^62*q^1136+8*p^ 109*q^1088+8*p^107*q^1090+7750*p^105*q^1092+1505276*p^103*q^1094+34853782*p^101 *q^1096+497006692*p^99*q^1098+6578763430*p^97*q^1100+78588211515*p^95*q^1102+ 825541757296*p^93*q^1104+7675364638178*p^91*q^1106+60421112934636*p^89*q^1108+ 337458888535739*p^87*q^1110+892240938425906*p^85*q^1112+776728282382687*p^83*q^ 1114+229297097867746*p^81*q^1116+35002820482830*p^79*q^1118+4005103775096*p^77* q^1120+408674715223*p^75*q^1122+38432901402*p^73*q^1124+3360352165*p^71*q^1126+ 217137098*p^69*q^1128+12170114*p^67*q^1130+238852*p^65*q^1132+3540*p^63*q^1134+ 156*p^61*q^1136+80*p^108*q^1088+76*p^106*q^1090+112734*p^104*q^1092+8121334*p^ 102*q^1094+125642178*p^100*q^1096+1749471582*p^98*q^1098+21837497197*p^96*q^ 1100+244863828214*p^94*q^1102+2425269863714*p^92*q^1104+21064015134570*p^90*q^ 1106+145663465808263*p^88*q^1108+605049705299060*p^86*q^1110+966008659825769*p^ 84*q^1112+486065790563948*p^82*q^1114+98681739186125*p^80*q^1116+12720819043742 *p^78*q^1118+1362852139416*p^76*q^1120+133756821580*p^74*q^1122+11933406822*p^ 72*q^1124+1014246912*p^70*q^1126+48522892*p^68*q^1128+2997636*p^66*q^1130+35408 *p^64*q^1132+48*p^62*q^1134+12*p^60*q^1136+672*p^107*q^1088+7468*p^105*q^1090+ 1164586*p^103*q^1092+32006696*p^101*q^1094+445924778*p^99*q^1096+5861858442*p^ 97*q^1098+70222858808*p^95*q^1100+741622305279*p^93*q^1102+6911621658984*p^91*q ^1104+55068033196903*p^89*q^1106+313272997638368*p^87*q^1108+870918485069265*p^ 85*q^1110+797285754453528*p^83*q^1112+247245098770327*p^81*q^1114+ 38416189047718*p^79*q^1116+4451313584823*p^77*q^1118+455158910990*p^75*q^1120+ 43101829786*p^73*q^1122+3754342346*p^71*q^1124+256351784*p^69*q^1126+12516440*p ^67*q^1128+401452*p^65*q^1130+1328*p^63*q^1132+162*p^61*q^1134+152*p^108*q^1086 +240*p^106*q^1088+62282*p^104*q^1090+6623906*p^102*q^1092+110688706*p^100*q^ 1094+1538305818*p^98*q^1096+19427442344*p^96*q^1098+218876003488*p^94*q^1100+ 2184480682948*p^92*q^1102+19023652646318*p^90*q^1104+133918144166708*p^88*q^ 1106+572158708121274*p^86*q^1108+968614298943722*p^84*q^1110+510812387799842*p^ 82*q^1112+107766459368422*p^80*q^1114+14036379274795*p^78*q^1116+1518048257964* p^76*q^1118+149198239650*p^74*q^1120+13432096796*p^72*q^1122+1143661597*p^70*q^ 1124+56980834*p^68*q^1126+3537322*p^66*q^1128+29292*p^64*q^1130+460*p^62*q^1132 +8*p^60*q^1134+796*p^107*q^1086+2164*p^105*q^1088+791958*p^103*q^1090+28772574* p^101*q^1092+392875916*p^99*q^1094+5246294418*p^97*q^1096+62814037737*p^95*q^ 1098+665183215432*p^93*q^1100+6243280509676*p^91*q^1102+49977167101524*p^89*q^ 1104+291767186891158*p^87*q^1106+843029653511124*p^85*q^1108+820981069617062*p^ 83*q^1110+264819108166004*p^81*q^1112+42307038107479*p^79*q^1114+4931763558240* p^77*q^1116+508238328395*p^75*q^1118+48277414920*p^73*q^1120+4177841906*p^71*q^ 1122+310191864*p^69*q^1124+13372386*p^67*q^1126+607946*p^65*q^1128+4968*p^63*q^ 1130+8*p^108*q^1084+2452*p^106*q^1086+58996*p^104*q^1088+5640390*p^102*q^1090+ 98292364*p^100*q^1092+1374322792*p^98*q^1094+17270166883*p^96*q^1096+ 196256281058*p^94*q^1098+1961362692693*p^92*q^1100+17235627343804*p^90*q^1102+ 122433866798184*p^88*q^1104+542692619743462*p^86*q^1106+962865266144947*p^84*q^ 1108+538698536561682*p^82*q^1110+117025416727068*p^80*q^1112+15543228159488*p^ 78*q^1114+1686754336691*p^76*q^1116+166975241654*p^74*q^1118+15125210995*p^72*q ^1120+1307716750*p^70*q^1122+68146944*p^68*q^1124+3803462*p^66*q^1126+49174*p^ 64*q^1128+44*p^62*q^1130+12*p^60*q^1132+1336*p^107*q^1084+3248*p^105*q^1086+ 499742*p^103*q^1088+24386902*p^101*q^1090+347736866*p^99*q^1092+4662143273*p^97 *q^1094+56011587224*p^95*q^1096+596999215588*p^93*q^1098+5617750812166*p^91*q^ 1100+45497236449324*p^89*q^1102+270020957216190*p^87*q^1104+818604348333456*p^ 85*q^1106+838469094491416*p^83*q^1108+284593064140878*p^81*q^1110+ 46354558003028*p^79*q^1112+5476551790489*p^77*q^1114+565438866178*p^75*q^1116+ 53921409951*p^73*q^1118+4654964724*p^71*q^1120+358294182*p^69*q^1122+14318392*p ^67*q^1124+832812*p^65*q^1126+3944*p^63*q^1128+28*p^61*q^1130+4464*p^106*q^1084 +28388*p^104*q^1086+4131512*p^102*q^1088+89047914*p^100*q^1090+1210660027*p^98* q^1092+15393379580*p^96*q^1094+175504861199*p^94*q^1096+1766360992664*p^92*q^ 1098+15557973494827*p^90*q^1100+112369514335024*p^88*q^1102+511066042380558*p^ 86*q^1104+960025330803592*p^84*q^1106+563684405793651*p^82*q^1108+ 127485516979746*p^80*q^1110+17132480093021*p^78*q^1112+1878432393290*p^76*q^ 1114+186265436737*p^74*q^1116+17071273710*p^72*q^1118+1461586836*p^70*q^1120+ 83744122*p^68*q^1122+3988156*p^66*q^1124+89972*p^64*q^1126+436*p^62*q^1128+408* p^107*q^1082+7528*p^105*q^1084+383806*p^103*q^1086+22254462*p^101*q^1088+ 307854802*p^99*q^1090+4168139488*p^97*q^1092+50068063346*p^95*q^1094+ 535337597158*p^93*q^1096+5072490123920*p^91*q^1098+41241293239872*p^89*q^1100+ 250776531081904*p^87*q^1102+788293420398984*p^85*q^1104+858789462744331*p^83*q^ 1106+303824826972480*p^81*q^1108+50976240338215*p^79*q^1110+6064245848552*p^77* q^1112+631256975926*p^75*q^1114+60347525476*p^73*q^1116+5216729486*p^71*q^1118+ 421433568*p^69*q^1120+17066392*p^67*q^1122+1007638*p^65*q^1124+3944*p^63*q^1126 +8*p^108*q^1080+7276*p^106*q^1082+28204*p^104*q^1084+3091156*p^102*q^1086+ 78010410*p^100*q^1088+1075149770*p^98*q^1090+13712341864*p^96*q^1092+ 157200095638*p^94*q^1094+1585444457040*p^92*q^1096+14083181397748*p^90*q^1098+ 102537305722055*p^88*q^1100+482869172409064*p^86*q^1102+949044575456582*p^84*q^ 1104+591734206872814*p^82*q^1106+138119840500655*p^80*q^1108+18947699956310*p^ 78*q^1110+2084909870431*p^76*q^1112+208223279840*p^74*q^1114+19161789812*p^72*q ^1116+1637028802*p^70*q^1118+100863908*p^68*q^1120+3850346*p^66*q^1122+146424*p ^64*q^1124+616*p^62*q^1126+24*p^107*q^1080+16020*p^105*q^1082+243090*p^103*q^ 1084+17655140*p^101*q^1086+273114508*p^99*q^1088+3690112256*p^97*q^1090+ 44537213578*p^95*q^1092+480346741937*p^93*q^1094+4562738587766*p^91*q^1096+ 37506146242908*p^89*q^1098+231425585354036*p^87*q^1100+761783712422566*p^85*q^ 1102+872269487739428*p^83*q^1104+325326655993490*p^81*q^1106+55768637225722*p^ 79*q^1108+6729136257685*p^77*q^1110+702314243816*p^75*q^1112+67460873795*p^73*q ^1114+5863078550*p^71*q^1116+484767688*p^69*q^1118+20202376*p^67*q^1120+1138792 *p^65*q^1122+9340*p^63*q^1124+16*p^61*q^1126+5316*p^106*q^1080+30460*p^104*q^ 1082+2246653*p^102*q^1084+72977834*p^100*q^1086+955917970*p^98*q^1088+ 12281621932*p^96*q^1090+140763090454*p^94*q^1092+1427459583712*p^92*q^1094+ 12709308606673*p^90*q^1096+93932358603418*p^88*q^1098+452898520740310*p^86*q^ 1100+941229922729956*p^84*q^1102+616242580828720*p^82*q^1104+150101017665932*p^ 80*q^1106+20866576557069*p^78*q^1108+2321063516760*p^76*q^1110+232236492282*p^ 74*q^1112+21539123658*p^72*q^1114+1821034568*p^70*q^1116+120967056*p^68*q^1118+ 4278326*p^66*q^1120+211636*p^64*q^1122+160*p^62*q^1124+160*p^107*q^1078+27240*p ^105*q^1080+190588*p^103*q^1082+14464516*p^101*q^1084+239153098*p^99*q^1086+ 3271395276*p^97*q^1088+39725295133*p^95*q^1090+430168304222*p^93*q^1092+ 4116300657817*p^91*q^1094+33965479080676*p^89*q^1096+214314608933973*p^87*q^ 1098+729963268772426*p^85*q^1100+888848891287490*p^83*q^1102+346001449660310*p^ 81*q^1104+61215148334320*p^79*q^1106+7445063409326*p^77*q^1108+783234637718*p^ 75*q^1110+75404219146*p^73*q^1112+6623864183*p^71*q^1114+554519040*p^69*q^1116+ 25217180*p^67*q^1118+1106102*p^65*q^1120+17600*p^63*q^1122+72*p^61*q^1124+952*p ^106*q^1078+48420*p^104*q^1080+1610432*p^102*q^1082+63288658*p^100*q^1084+ 847461784*p^98*q^1086+10953994292*p^96*q^1088+125985056046*p^94*q^1090+ 1281361357895*p^92*q^1092+11498843759904*p^90*q^1094+85601221835664*p^88*q^1096 +426248715541712*p^86*q^1098+925309545689647*p^84*q^1100+643974755509976*p^82*q ^1102+162161184777687*p^80*q^1104+23052216388294*p^78*q^1106+2574670856239*p^76 *q^1108+259577272180*p^74*q^1110+24107864567*p^72*q^1112+2022228880*p^70*q^1114 +144904282*p^68*q^1116+4720820*p^66*q^1118+268330*p^64*q^1120+620*p^62*q^1122+ 16*p^107*q^1076+33772*p^105*q^1078+173314*p^103*q^1080+11255030*p^101*q^1082+ 218297676*p^99*q^1084+2914201345*p^97*q^1086+35414450420*p^95*q^1088+ 386209499772*p^93*q^1090+3701583782520*p^91*q^1092+30854811805263*p^89*q^1094+ 197299911700824*p^87*q^1096+701871713275555*p^85*q^1098+897832479773572*p^83*q^ 1100+369212910264049*p^81*q^1102+66853487841300*p^79*q^1104+8256886549445*p^77* q^1106+871317912936*p^75*q^1108+84380017701*p^73*q^1110+7488141068*p^71*q^1112+ 634043598*p^69*q^1114+30744788*p^67*q^1116+1125656*p^65*q^1118+34736*p^63*q^ 1120+1568*p^106*q^1076+76516*p^104*q^1078+1139402*p^102*q^1080+54320082*p^100*q ^1082+743690294*p^98*q^1084+9742618822*p^96*q^1086+112512028371*p^94*q^1088+ 1152304169666*p^92*q^1090+10368379727923*p^90*q^1092+78276174866382*p^88*q^1094 +398414929797776*p^86*q^1096+912679072710224*p^84*q^1098+667381924565488*p^82*q ^1100+175782109101258*p^80*q^1102+25350023423700*p^78*q^1104+2863702512418*p^76 *q^1106+289245498111*p^74*q^1108+26972912926*p^72*q^1110+2251205677*p^70*q^1112 +167950976*p^68*q^1114+5625752*p^66*q^1116+284604*p^64*q^1118+1292*p^62*q^1120+ 4*p^60*q^1122+13784*p^105*q^1076+174672*p^103*q^1078+8623102*p^101*q^1080+ 197776234*p^99*q^1082+2587402216*p^97*q^1084+31705820483*p^95*q^1086+ 346065250784*p^93*q^1088+3340248330409*p^91*q^1090+27923779373024*p^89*q^1092+ 182248622616387*p^87*q^1094+669550067856172*p^85*q^1096+909783886675168*p^83*q^ 1098+391084161017794*p^81*q^1100+73263469404571*p^79*q^1102+9126212162578*p^77* q^1104+971317699069*p^75*q^1106+94318573236*p^73*q^1108+8463643191*p^71*q^1110+ 708719274*p^69*q^1112+38675860*p^67*q^1114+1186072*p^65*q^1116+48120*p^63*q^ 1118+20*p^61*q^1120+552*p^106*q^1074+127528*p^104*q^1076+998218*p^102*q^1078+ 46156101*p^100*q^1080+660498548*p^98*q^1082+8691872256*p^96*q^1084+100592557958 *p^94*q^1086+1033981076761*p^92*q^1088+9374603411856*p^90*q^1090+71221292635945 *p^88*q^1092+373535073626268*p^86*q^1094+892580779779033*p^84*q^1096+ 693980212447844*p^82*q^1098+189375973464185*p^80*q^1100+27978431525680*p^78*q^ 1102+3175668133610*p^76*q^1104+323354321800*p^74*q^1106+30202853969*p^72*q^1108 +2542147062*p^70*q^1110+202609122*p^68*q^1112+6981752*p^66*q^1114+297820*p^64*q ^1116+4168*p^62*q^1118+11024*p^105*q^1074+214614*p^103*q^1076+6257800*p^101*q^ 1078+175175280*p^99*q^1080+2292454702*p^97*q^1082+28235176626*p^95*q^1084+ 310415694791*p^93*q^1086+3001401351860*p^91*q^1088+25348802574588*p^89*q^1090+ 167370510636580*p^87*q^1092+640760860892908*p^85*q^1094+914187844126080*p^83*q^ 1096+415649235690096*p^81*q^1098+79839610793408*p^79*q^1100+10112398535626*p^77 *q^1102+1078998457038*p^75*q^1104+105388522016*p^73*q^1106+9480784072*p^71*q^ 1108+781906588*p^69*q^1110+44346918*p^67*q^1112+1193616*p^65*q^1114+56820*p^63* q^1116+44*p^61*q^1118+80*p^106*q^1072+96264*p^104*q^1074+795452*p^102*q^1076+ 37474214*p^100*q^1078+591997372*p^98*q^1080+7729443530*p^96*q^1082+89848846239* p^94*q^1084+929814397450*p^92*q^1086+8450609758317*p^90*q^1088+65042779348220*p ^88*q^1090+347939796485117*p^86*q^1092+875565463443444*p^84*q^1094+ 715721468205046*p^82*q^1096+204660355020480*p^80*q^1098+30728902527983*p^78*q^ 1100+3530950825354*p^76*q^1102+360271811081*p^74*q^1104+33853034512*p^72*q^1106 +2881819027*p^70*q^1108+235498358*p^68*q^1110+9194482*p^66*q^1112+309924*p^64*q ^1114+6772*p^62*q^1116+8*p^107*q^1070+7248*p^105*q^1072+334310*p^103*q^1074+ 5125494*p^101*q^1076+157607026*p^99*q^1078+2030808544*p^97*q^1080+25311231948*p ^95*q^1082+278108447572*p^93*q^1084+2707323311921*p^91*q^1086+22918390426814*p^ 89*q^1088+154275593277188*p^87*q^1090+608413995794816*p^85*q^1092+ 921239751254120*p^83*q^1094+438576014796214*p^81*q^1096+87327915139835*p^79*q^ 1098+11167021124570*p^77*q^1100+1202692445598*p^75*q^1102+117885742428*p^73*q^ 1104+10662799129*p^71*q^1106+867724238*p^69*q^1108+55765672*p^67*q^1110+1474100 *p^65*q^1112+67612*p^63*q^1114+300*p^61*q^1116+68*p^106*q^1070+66080*p^104*q^ 1072+818040*p^102*q^1074+29700018*p^100*q^1076+526559694*p^98*q^1078+6877136444 *p^96*q^1080+80248743560*p^94*q^1082+833872756115*p^92*q^1084+7635657237034*p^ 90*q^1086+59097011808016*p^88*q^1088+325154556526878*p^86*q^1090+ 851733723166822*p^84*q^1092+740469848852076*p^82*q^1094+219842362760059*p^80*q^ 1096+33862041596626*p^78*q^1098+3911930418217*p^76*q^1100+402115736676*p^74*q^ 1102+37810165851*p^72*q^1104+3256765548*p^70*q^1106+268704212*p^68*q^1108+ 10618448*p^66*q^1110+269346*p^64*q^1112+8128*p^62*q^1114+1892*p^105*q^1070+ 388450*p^103*q^1072+3930082*p^101*q^1074+134978132*p^99*q^1076+1802693464*p^97* q^1078+22520072950*p^95*q^1080+249307680994*p^93*q^1082+2432477326946*p^91*q^ 1084+20788604902177*p^89*q^1086+141367105420266*p^87*q^1088+579795678667781*p^ 85*q^1090+920485544765314*p^83*q^1092+464159615923153*p^81*q^1094+ 94980939057580*p^79*q^1096+12364316522590*p^77*q^1098+1335615069320*p^75*q^1100 +131865317063*p^73*q^1102+11943763688*p^71*q^1104+973447747*p^69*q^1106+ 68294278*p^67*q^1108+1903414*p^65*q^1110+75488*p^63*q^1112+828*p^61*q^1114+144* p^106*q^1068+55140*p^104*q^1070+865256*p^102*q^1072+23625546*p^100*q^1074+ 480506129*p^98*q^1076+6117799062*p^96*q^1078+71823991375*p^94*q^1080+ 749880790406*p^92*q^1082+6881046687773*p^90*q^1084+53898572425220*p^88*q^1086+ 301862835620055*p^86*q^1088+831255513099744*p^84*q^1090+759688645226102*p^82*q^ 1092+236852696592912*p^80*q^1094+37145586076204*p^78*q^1096+4346136887074*p^76* q^1098+447831498132*p^74*q^1100+42369365020*p^72*q^1102+3684104861*p^70*q^1104+ 299234246*p^68*q^1106+12896050*p^66*q^1108+311514*p^64*q^1110+10956*p^62*q^1112 +8*p^60*q^1114+1656*p^105*q^1068+313232*p^103*q^1070+3579914*p^101*q^1072+ 115766750*p^99*q^1074+1589022218*p^97*q^1076+20132940802*p^95*q^1078+ 222920208674*p^93*q^1080+2192068550990*p^91*q^1082+18783897512356*p^89*q^1084+ 130007219846969*p^87*q^1086+548108416691282*p^85*q^1088+922729855912052*p^83*q^ 1090+487612692201068*p^81*q^1092+103658902873081*p^79*q^1094+13640128839734*p^ 77*q^1096+1488140111731*p^75*q^1098+147268152784*p^73*q^1100+13405781681*p^71*q ^1102+1093197074*p^69*q^1104+82612852*p^67*q^1106+2413888*p^65*q^1108+61398*p^ 63*q^1110+752*p^61*q^1112+16*p^106*q^1066+23024*p^104*q^1068+1096674*p^102*q^ 1070+18616768*p^100*q^1072+425819518*p^98*q^1074+5448107724*p^96*q^1076+ 64228781712*p^94*q^1078+672658398046*p^92*q^1080+6215599163452*p^90*q^1082+ 48926851226546*p^88*q^1084+281207111360486*p^86*q^1086+804395601856095*p^84*q^ 1088+782055284003192*p^82*q^1090+253550501616562*p^80*q^1092+40873109612478*p^ 78*q^1094+4812273699896*p^76*q^1096+499308486220*p^74*q^1098+47417811915*p^72*q ^1100+4143422786*p^70*q^1102+334793397*p^68*q^1104+16921210*p^66*q^1106+353412* p^64*q^1108+15748*p^62*q^1110+80*p^60*q^1112+1268*p^105*q^1066+290320*p^103*q^ 1068+3198330*p^101*q^1070+95957936*p^99*q^1072+1427088326*p^97*q^1074+ 17917687486*p^95*q^1076+199760333818*p^93*q^1078+1969130572118*p^91*q^1080+ 17022895196444*p^89*q^1082+118917271237460*p^87*q^1084+520002930821154*p^85*q^ 1086+916805578692356*p^83*q^1088+513959899106146*p^81*q^1090+112485914474100*p^ 79*q^1092+15089707920193*p^77*q^1094+1652112972280*p^75*q^1096+164803626188*p^ 73*q^1098+14995472958*p^71*q^1100+1245142768*p^69*q^1102+96790232*p^67*q^1104+ 2591464*p^65*q^1106+67672*p^63*q^1108+1084*p^61*q^1110+8*p^106*q^1064+18928*p^ 104*q^1066+1090248*p^102*q^1068+15339704*p^100*q^1070+379732528*p^98*q^1072+ 4819876782*p^96*q^1074+57381703084*p^94*q^1076+604433669666*p^92*q^1078+ 5597162833679*p^90*q^1080+44562947466420*p^88*q^1082+260337981202493*p^86*q^ 1084+781003105024718*p^84*q^1086+798128035053141*p^82*q^1088+272323779808594*p^ 80*q^1090+44760167524558*p^78*q^1092+5341663522652*p^76*q^1094+555598290432*p^ 74*q^1096+53078395888*p^72*q^1098+4653214228*p^70*q^1100+369001300*p^68*q^1102+ 21062528*p^66*q^1104+486206*p^64*q^1106+12188*p^62*q^1108+36*p^60*q^1110+564*p^ 105*q^1064+174768*p^103*q^1066+3103176*p^101*q^1068+78616600*p^99*q^1070+ 1274044678*p^97*q^1072+16016395556*p^95*q^1074+178789363680*p^93*q^1076+ 1774302153105*p^91*q^1078+15374787206444*p^89*q^1080+109145873620791*p^87*q^ 1082+489704566133044*p^85*q^1084+913854946165260*p^83*q^1086+537417927359928*p^ 81*q^1088+122495488620598*p^79*q^1090+16626829448796*p^77*q^1092+1839920352239* p^75*q^1094+183907333650*p^73*q^1096+16846874726*p^71*q^1098+1409505598*p^69*q^ 1100+111725662*p^67*q^1102+3591928*p^65*q^1104+69154*p^63*q^1106+2440*p^61*q^ 1108+4*p^59*q^1110+10360*p^104*q^1064+1129976*p^102*q^1066+13684006*p^100*q^ 1068+333837048*p^98*q^1070+4286570083*p^96*q^1072+51351337554*p^94*q^1074+ 541779961606*p^92*q^1076+5054710847410*p^90*q^1078+40405395249769*p^88*q^1080+ 241767469868452*p^86*q^1082+752109605287110*p^84*q^1084+817239644604554*p^82*q^ 1086+290516681678860*p^80*q^1088+49192258573738*p^78*q^1090+5911150712932*p^76* q^1092+619607328094*p^74*q^1094+59462400950*p^72*q^1096+5228319428*p^70*q^1098+ 417505180*p^68*q^1100+27015118*p^66*q^1102+521926*p^64*q^1104+13052*p^62*q^1106 +48*p^60*q^1108+244*p^105*q^1062+135162*p^103*q^1064+3177818*p^101*q^1066+ 63227998*p^99*q^1068+1138883524*p^97*q^1070+14236436212*p^95*q^1072+ 160065897788*p^93*q^1074+1593057221964*p^91*q^1076+13923618353304*p^89*q^1078+ 99650978893298*p^87*q^1080+462671197162874*p^85*q^1082+903266392074064*p^83*q^ 1084+563855711249739*p^81*q^1086+132577578288786*p^79*q^1088+18373474533723*p^ 77*q^1090+2040259111618*p^75*q^1092+205317627166*p^73*q^1094+18813412420*p^71*q ^1096+1589837265*p^69*q^1098+124111840*p^67*q^1100+4404312*p^65*q^1102+75218*p^ 63*q^1104+2048*p^61*q^1106+6756*p^104*q^1062+888530*p^102*q^1064+11413818*p^100 *q^1066+286577987*p^98*q^1068+3809245848*p^96*q^1070+45830471156*p^94*q^1072+ 486640306384*p^92*q^1074+4550069848795*p^90*q^1076+36771548706640*p^88*q^1078+ 223207348032828*p^86*q^1080+726543034550626*p^84*q^1082+829728637001273*p^82*q^ 1084+310886595314708*p^80*q^1086+53778723610688*p^78*q^1088+6558427495800*p^76* q^1090+689437380041*p^74*q^1092+66646663426*p^72*q^1094+5872762087*p^70*q^1096+ 471125942*p^68*q^1098+32865198*p^66*q^1100+648444*p^64*q^1102+15004*p^62*q^1104 +240*p^60*q^1106+42*p^105*q^1060+87744*p^103*q^1062+3438032*p^101*q^1064+ 55099974*p^99*q^1066+1028610936*p^97*q^1068+12718439104*p^95*q^1070+ 143416050198*p^93*q^1072+1435358641055*p^91*q^1074+12568024456278*p^89*q^1076+ 91315607763200*p^87*q^1078+433982450506914*p^85*q^1080+895330151566688*p^83*q^ 1082+586981470729546*p^81*q^1084+144015401043608*p^79*q^1086+20223004670650*p^ 77*q^1088+2271188419485*p^75*q^1090+228907614254*p^73*q^1092+21161563501*p^71*q ^1094+1790426632*p^69*q^1096+140543684*p^67*q^1098+6167034*p^65*q^1100+109648*p ^63*q^1102+1740*p^61*q^1104+2*p^108*q^1056+8*p^106*q^1058+3800*p^104*q^1060+ 700694*p^102*q^1062+10398346*p^100*q^1064+239756106*p^98*q^1066+3379019738*p^96 *q^1068+40948024962*p^94*q^1070+435738269044*p^92*q^1072+4105638229260*p^90*q^ 1074+33302753325999*p^88*q^1076+206750830241130*p^86*q^1078+696220389975675*p^ 84*q^1080+845039575910814*p^82*q^1082+330492399366671*p^80*q^1084+ 58996451030938*p^78*q^1086+7249949424104*p^76*q^1088+768521573300*p^74*q^1090+ 74577443579*p^72*q^1092+6575575020*p^70*q^1094+535704095*p^68*q^1096+38552648*p ^66*q^1098+787200*p^64*q^1100+8920*p^62*q^1102+260*p^60*q^1104+32*p^105*q^1058+ 51588*p^103*q^1060+3275498*p^101*q^1062+45778062*p^99*q^1064+912754410*p^97*q^ 1066+11304143224*p^95*q^1068+128403893233*p^93*q^1070+1288664816158*p^91*q^1072 +11376714444633*p^89*q^1074+83238353450930*p^87*q^1076+408558263170209*p^85*q^ 1078+880099906705206*p^83*q^1080+612892535371305*p^81*q^1082+155477992940650*p^ 79*q^1084+22320742967891*p^77*q^1086+2517294084824*p^75*q^1088+255401293517*p^ 73*q^1090+23657190750*p^71*q^1092+2011271477*p^69*q^1094+156829236*p^67*q^1096+ 8079710*p^65*q^1098+108002*p^63*q^1100+2852*p^61*q^1102+12*p^59*q^1104+8*p^108* q^1054+1468*p^104*q^1058+568408*p^102*q^1060+9961326*p^100*q^1062+205084228*p^ 98*q^1064+3034282358*p^96*q^1066+36569128713*p^94*q^1068+391449495818*p^92*q^ 1070+3695521721588*p^90*q^1072+30277552124884*p^88*q^1074+190364271997286*p^86* q^1076+669413932626090*p^84*q^1078+853199583794579*p^82*q^1080+352355929630434* p^80*q^1082+64395162956881*p^78*q^1084+8037827388160*p^76*q^1086+854886412375*p ^74*q^1088+83548888276*p^72*q^1090+7403705487*p^70*q^1092+609898610*p^68*q^1094 +44623160*p^66*q^1096+1101830*p^64*q^1098+18638*p^62*q^1100+124*p^60*q^1102+28* p^107*q^1054+156*p^105*q^1056+38136*p^103*q^1058+2797428*p^101*q^1060+39595832* p^99*q^1062+802433012*p^97*q^1064+10043205649*p^95*q^1066+114868128386*p^93*q^ 1068+1159653649671*p^91*q^1070+10262899031400*p^89*q^1072+76141185398394*p^87*q ^1074+381801697324588*p^85*q^1076+867867924426578*p^83*q^1078+634924828230922*p ^81*q^1080+168416038236925*p^79*q^1082+24539090463404*p^77*q^1084+2799909249772 *p^75*q^1086+284490956870*p^73*q^1088+26578230593*p^71*q^1090+2249959654*p^69*q ^1092+176268978*p^67*q^1094+10205272*p^65*q^1096+124190*p^63*q^1098+1180*p^61*q ^1100+16*p^59*q^1102+628*p^104*q^1056+337168*p^102*q^1058+10034062*p^100*q^1060 +173339794*p^98*q^1062+2711082547*p^96*q^1064+32712150718*p^94*q^1066+ 350676291822*p^92*q^1068+3334212508460*p^90*q^1070+27406382762127*p^88*q^1072+ 175896748813980*p^86*q^1074+638422962038713*p^84*q^1076+864388102201592*p^82*q^ 1078+373047836689916*p^80*q^1080+70511179498306*p^78*q^1082+8877745438957*p^76* q^1084+952370427802*p^74*q^1086+93339275799*p^72*q^1088+8313813868*p^70*q^1090+ 685000779*p^68*q^1092+51608648*p^66*q^1094+1648618*p^64*q^1096+20326*p^62*q^ 1098+372*p^60*q^1100+136*p^107*q^1052+44*p^105*q^1054+21062*p^103*q^1056+ 2605971*p^101*q^1058+34241384*p^99*q^1060+698446990*p^97*q^1062+8945684242*p^95 *q^1064+102798851082*p^93*q^1066+1040833649406*p^91*q^1068+9283418994592*p^89*q ^1070+69316886791182*p^87*q^1072+358073169052624*p^85*q^1074+848439901165530*p^ 83*q^1076+659897124207907*p^81*q^1078+181306286101902*p^79*q^1080+ 27055475876866*p^77*q^1082+3102543126414*p^75*q^1084+317651563448*p^73*q^1086+ 29804459870*p^71*q^1088+2529671310*p^69*q^1090+205694070*p^67*q^1092+12288526*p ^65*q^1094+149144*p^63*q^1096+1836*p^61*q^1098+4*p^59*q^1100+158*p^106*q^1052+ 1456*p^104*q^1054+268336*p^102*q^1056+9118478*p^100*q^1058+148183898*p^98*q^ 1060+2426615736*p^96*q^1062+29126357252*p^94*q^1064+314880831350*p^92*q^1066+ 2999017901163*p^90*q^1068+24889564512510*p^88*q^1070+161608828136223*p^86*q^ 1072+610992827903260*p^84*q^1074+867952327589801*p^82*q^1076+396248553078904*p^ 80*q^1078+76797125329373*p^78*q^1080+9831086242162*p^76*q^1082+1058160731589*p^ 74*q^1084+104212412764*p^72*q^1086+9306158380*p^70*q^1088+765796464*p^68*q^1090 +55819284*p^66*q^1092+2187814*p^64*q^1094+16848*p^62*q^1096+168*p^60*q^1098+8*p ^107*q^1050+4*p^105*q^1052+8412*p^103*q^1054+1842214*p^101*q^1056+31506042*p^99 *q^1058+603979002*p^97*q^1060+7969926757*p^95*q^1062+92008142808*p^93*q^1064+ 936474766404*p^91*q^1066+8372331937208*p^89*q^1068+63317302771788*p^87*q^1070+ 333569244208322*p^85*q^1072+832076832834940*p^83*q^1074+680111416894714*p^81*q^ 1076+195859477724277*p^79*q^1078+29702588593050*p^77*q^1080+3449179634646*p^75* q^1082+353976463408*p^73*q^1084+33544993518*p^71*q^1086+2858387756*p^69*q^1088+ 233087677*p^67*q^1090+15434702*p^65*q^1092+275950*p^63*q^1094+3996*p^61*q^1096+ 24*p^59*q^1098+1008*p^106*q^1050+1024*p^104*q^1052+182972*p^102*q^1054+9068789* p^100*q^1056+128175118*p^98*q^1058+2166731926*p^96*q^1060+26061622786*p^94*q^ 1062+282007559159*p^92*q^1064+2705251405776*p^90*q^1066+22511160985475*p^88*q^ 1068+148949007260062*p^86*q^1070+580194875130243*p^84*q^1072+874456192487170*p^ 82*q^1074+417785411760711*p^80*q^1076+83947099300286*p^78*q^1078+10849244504283 *p^76*q^1080+1178683205746*p^74*q^1082+116306178225*p^72*q^1084+10462009592*p^ 70*q^1086+852856624*p^68*q^1088+66888688*p^66*q^1090+2859902*p^64*q^1092+14532* p^62*q^1094+64*p^60*q^1096+8*p^107*q^1048+508*p^105*q^1050+9750*p^103*q^1052+ 1460266*p^101*q^1054+28370852*p^99*q^1056+516679301*p^97*q^1058+7095443360*p^95 *q^1060+82207670326*p^93*q^1062+839990523612*p^91*q^1064+7568796876328*p^89*q^ 1066+57558604469750*p^87*q^1068+311769168571969*p^85*q^1070+809395284738042*p^ 83*q^1072+703282644848606*p^81*q^1074+210184483316186*p^79*q^1076+ 32707841344611*p^77*q^1078+3817802394676*p^75*q^1080+394764730133*p^73*q^1082+ 37514000682*p^71*q^1084+3206853325*p^69*q^1086+263209664*p^67*q^1088+16629378*p ^65*q^1090+370794*p^63*q^1092+1828*p^61*q^1094+12*p^59*q^1096+340*p^106*q^1048+ 204*p^104*q^1050+91714*p^102*q^1052+7670208*p^100*q^1054+110066512*p^98*q^1056+ 1920971334*p^96*q^1058+23196608399*p^94*q^1060+253209421740*p^92*q^1062+ 2432495748549*p^90*q^1064+20433699989854*p^88*q^1066+136566121470108*p^86*q^ 1068+552732840003716*p^84*q^1070+873427737935220*p^82*q^1072+441883416457420*p^ 80*q^1074+91225526810207*p^78*q^1076+12005934479034*p^76*q^1078+1308902428169*p ^74*q^1080+129966474492*p^72*q^1082+11753703596*p^70*q^1084+958546320*p^68*q^ 1086+76866351*p^66*q^1088+3821102*p^64*q^1090+37140*p^62*q^1092+560*p^60*q^1094 +4184*p^105*q^1048+10672*p^103*q^1050+1128880*p^101*q^1052+27400869*p^99*q^1054 +452775456*p^97*q^1056+6363638746*p^95*q^1058+73643519128*p^93*q^1060+ 755866721796*p^91*q^1062+6823244535706*p^89*q^1064+52515937214930*p^87*q^1066+ 289470470200020*p^85*q^1068+789569749958329*p^83*q^1070+721265312761126*p^81*q^ 1072+226338024127521*p^79*q^1074+35860184809926*p^77*q^1076+4241710130640*p^75* q^1078+439836260664*p^73*q^1080+42095570834*p^71*q^1082+3622216072*p^69*q^1084+ 294244058*p^67*q^1086+19990102*p^65*q^1088+552656*p^63*q^1090+832*p^61*q^1092+ 144*p^106*q^1046+1574*p^104*q^1048+64484*p^102*q^1050+6397394*p^100*q^1052+ 96656242*p^98*q^1054+1676909073*p^96*q^1056+20669917616*p^94*q^1058+ 226427337685*p^92*q^1060+2192059568244*p^90*q^1062+18462887468952*p^88*q^1064+ 125622557059962*p^86*q^1066+522596216235968*p^84*q^1068+875086178597144*p^82*q^ 1070+464010697772642*p^80*q^1072+99499148234130*p^78*q^1074+13232086779591*p^76 *q^1076+1457444773994*p^74*q^1078+144877978756*p^72*q^1080+13229255796*p^70*q^ 1082+1070201411*p^68*q^1084+88908010*p^66*q^1086+4421502*p^64*q^1088+49994*p^62 *q^1090+132*p^60*q^1092+3760*p^105*q^1046+4050*p^103*q^1048+717335*p^101*q^1050 +25462272*p^99*q^1052+387584440*p^97*q^1054+5693170850*p^95*q^1056+65887403165* p^93*q^1058+678231372710*p^91*q^1060+6166814524072*p^89*q^1062+47687903845354*p ^87*q^1064+269760022727327*p^85*q^1066+764042234566270*p^83*q^1068+ 741965553821760*p^81*q^1070+242128636332522*p^79*q^1072+39425442190499*p^77*q^ 1074+4692507540514*p^75*q^1076+490197485374*p^73*q^1078+47022473486*p^71*q^1080 +4062542761*p^69*q^1082+326493020*p^67*q^1084+23838430*p^65*q^1086+782894*p^63* q^1088+3828*p^61*q^1090+36*p^59*q^1092+32*p^106*q^1044+10616*p^104*q^1046+71750 *p^102*q^1048+5382016*p^100*q^1050+85970648*p^98*q^1052+1477453002*p^96*q^1054+ 18423581834*p^94*q^1056+203191724150*p^92*q^1058+1970630795185*p^90*q^1060+ 16746500432644*p^88*q^1062+114935647774605*p^86*q^1064+495852643303632*p^84*q^ 1066+869165863353003*p^82*q^1068+488627278952622*p^80*q^1070+107906275503167*p^ 78*q^1072+14631475462722*p^76*q^1074+1617522274556*p^74*q^1076+162061460184*p^ 72*q^1078+14879058360*p^70*q^1080+1218365836*p^68*q^1082+102057874*p^66*q^1084+ 5165388*p^64*q^1086+80080*p^62*q^1088+16*p^60*q^1090+1520*p^105*q^1044+7876*p^ 103*q^1046+459876*p^101*q^1048+22701971*p^99*q^1050+339121088*p^97*q^1052+ 5076009514*p^95*q^1054+58873159962*p^93*q^1056+609795796109*p^91*q^1058+ 5556581666640*p^89*q^1060+43451172659853*p^87*q^1062+249713371139726*p^85*q^ 1064+741677676455788*p^83*q^1066+756905452774788*p^81*q^1068+259866814066365*p^ 79*q^1070+43159139567762*p^77*q^1072+5207093121305*p^75*q^1074+545656300596*p^ 73*q^1076+52565675030*p^71*q^1078+4571182678*p^69*q^1080+356624755*p^67*q^1082+ 27786046*p^65*q^1084+979300*p^63*q^1086+5928*p^61*q^1088+4*p^59*q^1090+19572*p^ 104*q^1044+42044*p^102*q^1046+4012610*p^100*q^1048+78878240*p^98*q^1050+ 1285257426*p^96*q^1052+16462384092*p^94*q^1054+181856093672*p^92*q^1056+ 1775632539682*p^90*q^1058+15126655414321*p^88*q^1060+105526792787816*p^86*q^ 1062+466871771971329*p^84*q^1064+866240541284554*p^82*q^1066+510706165991875*p^ 80*q^1068+117408116684986*p^78*q^1070+16111041823089*p^76*q^1072+1800504656562* p^74*q^1074+180665117788*p^72*q^1076+16761147314*p^70*q^1078+1374722612*p^68*q^ 1080+116017916*p^66*q^1082+6740118*p^64*q^1084+144116*p^62*q^1086+240*p^60*q^ 1088+872*p^105*q^1042+19624*p^103*q^1044+398974*p^101*q^1046+20682292*p^99*q^ 1048+293547196*p^97*q^1050+4516785236*p^95*q^1052+52624912897*p^93*q^1054+ 546874549136*p^91*q^1056+5018715667620*p^89*q^1058+39420292790956*p^87*q^1060+ 231997357021024*p^85*q^1062+714053887275648*p^83*q^1064+774698794446333*p^81*q^ 1066+277022835573470*p^79*q^1068+47382023921165*p^77*q^1070+5757488945410*p^75* q^1072+608052178565*p^73*q^1074+58739097872*p^71*q^1076+5140542911*p^69*q^1078+ 398270010*p^67*q^1080+33269874*p^65*q^1082+1091170*p^63*q^1084+7074*p^61*q^1086 +8*p^106*q^1040+11776*p^104*q^1042+45912*p^102*q^1044+2867406*p^100*q^1046+ 70928416*p^98*q^1048+1126482780*p^96*q^1050+14694986781*p^94*q^1052+ 163125738090*p^92*q^1054+1595687623231*p^90*q^1056+13709033836192*p^88*q^1058+ 96397566906676*p^86*q^1060+441170210920054*p^84*q^1062+855663181620794*p^82*q^ 1064+535517624897370*p^80*q^1066+126991813506503*p^78*q^1068+17792456619082*p^ 76*q^1070+1996231467447*p^74*q^1072+201815776340*p^72*q^1074+18735169979*p^70*q ^1076+1553394232*p^68*q^1078+126338398*p^66*q^1080+7686446*p^64*q^1082+177070*p ^62*q^1084+696*p^60*q^1086+48*p^105*q^1040+57490*p^103*q^1042+292664*p^101*q^ 1044+17041926*p^99*q^1046+258728078*p^97*q^1048+3993110718*p^95*q^1050+ 46978007298*p^93*q^1052+491490460512*p^91*q^1054+4520298765354*p^89*q^1056+ 35879771888290*p^87*q^1058+214224803097004*p^85*q^1060+689668690974983*p^83*q^ 1062+786004101617960*p^81*q^1064+296308087648824*p^79*q^1066+51777372193088*p^ 77*q^1068+6384554502040*p^75*q^1070+676849696558*p^73*q^1072+65722360136*p^71*q ^1074+5828173950*p^69*q^1076+449267120*p^67*q^1078+39411246*p^65*q^1080+1632630 *p^63*q^1082+22612*p^61*q^1084+4*p^59*q^1086+9006*p^104*q^1040+52400*p^102*q^ 1042+2162246*p^100*q^1044+67294400*p^98*q^1046+987989385*p^96*q^1048+ 13180275512*p^94*q^1050+146103320825*p^92*q^1052+1437843444516*p^90*q^1054+ 12377403428865*p^88*q^1056+88337398463924*p^86*q^1058+413871589340951*p^84*q^ 1060+848012255869256*p^82*q^1062+557089785101517*p^80*q^1064+137864400362506*p^ 78*q^1066+19569351438599*p^76*q^1068+2220767093332*p^74*q^1070+224833716227*p^ 72*q^1072+21048949990*p^70*q^1074+1744949365*p^68*q^1076+136454598*p^66*q^1078+ 9776804*p^64*q^1080+180228*p^62*q^1082+274*p^60*q^1084+184*p^105*q^1038+58430*p ^103*q^1040+254316*p^101*q^1042+13827686*p^99*q^1044+225361188*p^97*q^1046+ 3513985844*p^95*q^1048+41914376919*p^93*q^1050+440160335906*p^91*q^1052+ 4080191335701*p^89*q^1054+32513604035476*p^87*q^1056+198460665513324*p^85*q^ 1058+660929966999850*p^83*q^1060+800171355357693*p^81*q^1062+314679550394832*p^ 79*q^1064+56756474489454*p^77*q^1066+7051680001546*p^75*q^1068+753750907994*p^ 73*q^1070+73422637294*p^71*q^1072+6542820155*p^69*q^1074+507546186*p^67*q^1076+ 46054411*p^65*q^1078+1847258*p^63*q^1080+29014*p^61*q^1082+72*p^59*q^1084+2160* p^104*q^1038+113356*p^102*q^1040+1648084*p^100*q^1042+59185758*p^98*q^1044+ 863601090*p^96*q^1046+11764588867*p^94*q^1048+130969274862*p^92*q^1050+ 1292278562513*p^90*q^1052+11213206143462*p^88*q^1054+80575284397974*p^86*q^1056 +389582614214410*p^84*q^1058+833346439773403*p^82*q^1060+581321519520226*p^80*q ^1062+148708205973901*p^78*q^1064+21588631339740*p^76*q^1066+2460867299789*p^74 *q^1068+251111063372*p^72*q^1070+23492764020*p^70*q^1072+1977898916*p^68*q^1074 +148605330*p^66*q^1076+11533078*p^64*q^1078+310346*p^62*q^1080+2244*p^60*q^1082 +24*p^105*q^1036+52926*p^103*q^1038+253826*p^101*q^1040+10797029*p^99*q^1042+ 206989116*p^97*q^1044+3120215099*p^95*q^1046+37490057662*p^93*q^1048+ 395940879472*p^91*q^1050+3673463845556*p^89*q^1052+29572206643606*p^87*q^1054+ 182776650158266*p^85*q^1056+635204399431037*p^83*q^1058+807612952592852*p^81*q^ 1060+335327980140763*p^79*q^1062+61906297013976*p^77*q^1064+7815769353656*p^75* q^1066+838408087746*p^73*q^1068+82194109371*p^71*q^1070+7399270912*p^69*q^1072+ 579033788*p^67*q^1074+50668366*p^65*q^1076+2520224*p^63*q^1078+23120*p^61*q^ 1080+1964*p^104*q^1036+180914*p^102*q^1038+1315424*p^100*q^1040+52213768*p^98*q ^1042+750414286*p^96*q^1044+10452512548*p^94*q^1046+117080557559*p^92*q^1048+ 1162638067230*p^90*q^1050+10115844903939*p^88*q^1052+73725278008392*p^86*q^1054 +364124543290407*p^84*q^1056+821405566761790*p^82*q^1058+601979881944511*p^80*q ^1060+160984778682954*p^78*q^1062+23713761048397*p^76*q^1064+2735268505004*p^74 *q^1066+279588437368*p^72*q^1068+26312967108*p^70*q^1070+2228852382*p^68*q^1072 +162776206*p^66*q^1074+14889559*p^64*q^1076+382352*p^62*q^1078+4822*p^60*q^1080 +4*p^58*q^1082+27504*p^103*q^1036+251884*p^101*q^1038+8256976*p^99*q^1040+ 185988163*p^97*q^1042+2743072696*p^95*q^1044+33568281274*p^93*q^1046+ 354688519366*p^91*q^1048+3316366056422*p^89*q^1050+26776460514498*p^87*q^1052+ 168956157052829*p^85*q^1054+605886499047648*p^83*q^1056+817644748051866*p^81*q^ 1058+354780194843196*p^79*q^1060+67727696937250*p^77*q^1062+8623391974364*p^75* q^1064+933546962112*p^73*q^1066+91721757894*p^71*q^1068+8294638132*p^69*q^1070+ 651823810*p^67*q^1072+54175360*p^65*q^1074+2926648*p^63*q^1076+41334*p^61*q^ 1078+84*p^59*q^1080+800*p^104*q^1034+202376*p^102*q^1036+1252162*p^100*q^1038+ 44614539*p^98*q^1040+660974100*p^96*q^1042+9319719801*p^94*q^1044+104876114638* p^92*q^1046+1044814018871*p^90*q^1048+9157569373668*p^88*q^1050+67141363569631* p^86*q^1052+341580679604658*p^84*q^1054+802788583040898*p^82*q^1056+ 625102369079486*p^80*q^1058+173195919080855*p^78*q^1060+26132066367862*p^76*q^ 1062+3030006361747*p^74*q^1064+312219861730*p^72*q^1066+29475554265*p^70*q^1068 +2536118212*p^68*q^1070+185303998*p^66*q^1072+18160310*p^64*q^1074+527448*p^62* q^1076+2240*p^60*q^1078+15006*p^103*q^1034+414608*p^101*q^1036+6401718*p^99*q^ 1038+167860682*p^97*q^1040+2420878685*p^95*q^1042+29976247002*p^93*q^1044+ 318744176255*p^91*q^1046+2984426969864*p^89*q^1048+24330954042186*p^87*q^1050+ 155229406160564*p^85*q^1052+579770336322004*p^83*q^1054+820729493292892*p^81*q^ 1056+376546479394455*p^79*q^1058+73733476478560*p^77*q^1060+9546179806854*p^75* q^1062+1037014515620*p^73*q^1064+102544974340*p^71*q^1066+9280606810*p^69*q^ 1068+738379480*p^67*q^1070+56486788*p^65*q^1072+3775762*p^63*q^1074+66992*p^61* q^1076+636*p^59*q^1078+80*p^104*q^1032+169884*p^102*q^1034+996778*p^100*q^1036+ 36104162*p^98*q^1038+586526765*p^96*q^1040+8268475040*p^94*q^1042+93783195631*p ^92*q^1044+939957455752*p^90*q^1046+8259579831523*p^88*q^1048+61346238874326*p^ 86*q^1050+318164481445552*p^84*q^1052+787241825365572*p^82*q^1054+ 643976937646495*p^80*q^1056+186931218903306*p^78*q^1058+28669397040592*p^76*q^ 1060+3365597109536*p^74*q^1062+347714693729*p^72*q^1064+33044622588*p^70*q^1066 +2873612500*p^68*q^1068+208114860*p^66*q^1070+20627084*p^64*q^1072+706994*p^62* q^1074+3434*p^60*q^1076+8*p^105*q^1030+11006*p^103*q^1032+541968*p^101*q^1034+ 5672336*p^99*q^1036+152374171*p^97*q^1038+2123658670*p^95*q^1040+26834631106*p^ 93*q^1042+285567169842*p^91*q^1044+2692877725794*p^89*q^1046+22017436362708*p^ 87*q^1048+143148952236344*p^85*q^1050+550465033342574*p^83*q^1052+ 826586811343768*p^81*q^1054+396749066880448*p^79*q^1056+80516307330823*p^77*q^ 1058+10525753310188*p^75*q^1060+1154530558915*p^73*q^1062+114352292598*p^71*q^ 1064+10401720659*p^69*q^1066+838206748*p^67*q^1068+62084826*p^65*q^1070+5372230 *p^63*q^1072+78302*p^61*q^1074+136*p^59*q^1076+80*p^104*q^1030+97992*p^102*q^ 1032+1098892*p^100*q^1034+28639478*p^98*q^1036+518128836*p^96*q^1038+7342225633 *p^94*q^1040+83939357204*p^92*q^1042+843948083014*p^90*q^1044+7471556978394*p^ 88*q^1046+55803680348895*p^86*q^1048+297443851063548*p^84*q^1050+ 765373797182283*p^82*q^1052+665540603502420*p^80*q^1054+200459854777431*p^78*q^ 1056+31542871511188*p^76*q^1058+3724577422341*p^74*q^1060+387754486074*p^72*q^ 1062+36981594245*p^70*q^1064+3227354360*p^68*q^1066+234903280*p^66*q^1068+ 21382384*p^64*q^1070+729204*p^62*q^1072+9132*p^60*q^1074+40*p^58*q^1076+2368*p^ 103*q^1030+622270*p^101*q^1032+4569238*p^99*q^1034+132560110*p^97*q^1036+ 1877477535*p^95*q^1038+23941423312*p^93*q^1040+256589518745*p^91*q^1042+ 2423049208758*p^89*q^1044+19991327204551*p^87*q^1046+131275607010164*p^85*q^ 1048+524400989745806*p^83*q^1050+825070793439602*p^81*q^1052+419427801239015*p^ 79*q^1054+87457171432250*p^77*q^1056+11643383367912*p^75*q^1058+1282248772838*p ^73*q^1060+127901918567*p^71*q^1062+11646322996*p^69*q^1064+967610438*p^67*q^ 1066+66889494*p^65*q^1068+6979858*p^63*q^1070+159474*p^61*q^1072+180*p^59*q^ 1074+156*p^104*q^1028+83822*p^102*q^1030+1286394*p^100*q^1032+24181824*p^98*q^ 1034+471764274*p^96*q^1036+6515129374*p^94*q^1038+75165956371*p^92*q^1040+ 759331466744*p^90*q^1042+6736841583453*p^88*q^1044+50913822757656*p^86*q^1046+ 276229635530295*p^84*q^1048+746529088934794*p^82*q^1050+682103577014218*p^80*q^ 1052+215740101375410*p^78*q^1054+34557442734094*p^76*q^1056+4133924207632*p^74* q^1058+431574597075*p^72*q^1060+41437973420*p^70*q^1062+3642023611*p^68*q^1064+ 265052280*p^66*q^1066+23753654*p^64*q^1068+1192620*p^62*q^1070+7216*p^60*q^1072 +4*p^58*q^1074+1714*p^103*q^1028+478396*p^101*q^1030+4116386*p^99*q^1032+ 111836735*p^97*q^1034+1636723408*p^95*q^1036+21343614506*p^93*q^1038+ 229457405986*p^91*q^1040+2184617041796*p^89*q^1042+18072875726270*p^87*q^1044+ 120788959893559*p^85*q^1046+495884712749706*p^83*q^1048+826405942859371*p^81*q^ 1050+440002899092510*p^79*q^1052+95311323322381*p^77*q^1054+12821229390124*p^75 *q^1056+1426482725566*p^73*q^1058+142489945010*p^71*q^1060+13062977398*p^69*q^ 1062+1088184720*p^67*q^1064+73469946*p^65*q^1066+7726958*p^63*q^1068+122268*p^ 61*q^1070+824*p^59*q^1072+24*p^104*q^1026+33298*p^102*q^1028+1589180*p^100*q^ 1030+19714208*p^98*q^1032+422887454*p^96*q^1034+5782640733*p^94*q^1036+ 67341418434*p^92*q^1038+681974667155*p^90*q^1040+6093392642596*p^88*q^1042+ 46266740746517*p^86*q^1044+257421547633488*p^84*q^1046+722276908957689*p^82*q^ 1048+701240125614580*p^80*q^1050+230572838699633*p^78*q^1052+37972568725736*p^ 76*q^1054+4571296266076*p^74*q^1056+481254367902*p^72*q^1058+46336370113*p^70*q ^1060+4061744876*p^68*q^1062+308532704*p^66*q^1064+24595994*p^64*q^1066+1838326 *p^62*q^1068+27006*p^60*q^1070+8*p^58*q^1072+1512*p^103*q^1026+422762*p^101*q^ 1028+3999826*p^99*q^1030+94741930*p^97*q^1032+1458814073*p^95*q^1034+ 19041726284*p^93*q^1036+206150432989*p^91*q^1038+1964949831508*p^89*q^1040+ 16400275842088*p^87*q^1042+110547321225290*p^85*q^1044+470345971102137*p^83*q^ 1046+820529716731142*p^81*q^1048+463119671768152*p^79*q^1050+103288946250914*p^ 77*q^1052+14172057673134*p^75*q^1054+1583431744158*p^73*q^1056+159380011156*p^ 71*q^1058+14684983626*p^69*q^1060+1254850038*p^67*q^1062+81191604*p^65*q^1064+ 8951966*p^63*q^1066+188752*p^61*q^1068+384*p^59*q^1070+16*p^104*q^1024+19850*p^ 102*q^1026+1622774*p^100*q^1028+16703906*p^98*q^1030+376917700*p^96*q^1032+ 5102475008*p^94*q^1034+60186739706*p^92*q^1036+613091756378*p^90*q^1038+ 5489970213857*p^88*q^1040+42168195110008*p^86*q^1042+238346859443862*p^84*q^ 1044+700876957278370*p^82*q^1046+715124424564877*p^80*q^1048+247306179640758*p^ 78*q^1050+41529551999961*p^76*q^1052+5069005137440*p^74*q^1054+535186523779*p^ 72*q^1056+51774104296*p^70*q^1058+4538037409*p^68*q^1060+350990306*p^66*q^1062+ 25227328*p^64*q^1064+2383052*p^62*q^1066+23926*p^60*q^1068+36*p^58*q^1070+788*p ^103*q^1024+264714*p^101*q^1026+3939980*p^99*q^1028+79021246*p^97*q^1030+ 1291413646*p^95*q^1032+16969877098*p^93*q^1034+184488474460*p^91*q^1036+ 1771213057488*p^89*q^1038+14819261059182*p^87*q^1040+101544155128987*p^85*q^ 1042+442964373991092*p^83*q^1044+817282054166199*p^81*q^1046+483739917072146*p^ 79*q^1048+112288471513374*p^77*q^1050+15588873429230*p^75*q^1052+1761046198578* p^73*q^1054+177448608110*p^71*q^1056+16518112053*p^69*q^1058+1409925602*p^67*q^ 1060+92072458*p^65*q^1062+10145262*p^63*q^1064+347616*p^61*q^1066+2602*p^59*q^ 1068+28*p^104*q^1022+13174*p^102*q^1024+1548468*p^100*q^1026+15364438*p^98*q^ 1028+329906396*p^96*q^1030+4517355313*p^94*q^1032+53905395874*p^92*q^1034+ 550412253214*p^90*q^1036+4963651523034*p^88*q^1038+38272195032490*p^86*q^1040+ 221519922934122*p^84*q^1042+674667486623803*p^82*q^1044+731307566288994*p^80*q^ 1046+263452815441397*p^78*q^1048+45566851589976*p^76*q^1050+5601855890269*p^74* q^1052+596626038214*p^72*q^1054+57917616114*p^70*q^1056+5079827668*p^68*q^1058+ 409217424*p^66*q^1060+26518398*p^64*q^1062+2773526*p^62*q^1064+19648*p^60*q^ 1066+10*p^58*q^1068+4*p^107*q^1018+320*p^103*q^1022+155746*p^101*q^1024+4346092 *p^99*q^1026+65429068*p^97*q^1028+1161846164*p^95*q^1030+15111988632*p^93*q^ 1032+165607181178*p^91*q^1034+1592676440360*p^89*q^1036+13435986796405*p^87*q^ 1038+92766719843244*p^85*q^1040+418562234293447*p^83*q^1042+807042250367614*p^ 81*q^1044+506823998418152*p^79*q^1046+121396885573666*p^77*q^1048+ 17207731521055*p^75*q^1050+1952117433926*p^73*q^1052+198309669589*p^71*q^1054+ 18504515862*p^69*q^1056+1584554785*p^67*q^1058+105535392*p^65*q^1060+10230138*p ^63*q^1062+573440*p^61*q^1064+4932*p^59*q^1066+9396*p^102*q^1022+1306274*p^100* q^1024+13104552*p^98*q^1026+285688340*p^96*q^1028+3981114598*p^94*q^1030+ 48125989597*p^92*q^1032+494715307588*p^90*q^1034+4471126275305*p^88*q^1036+ 34847453823838*p^86*q^1038+204535332581371*p^84*q^1040+651603596450200*p^82*q^ 1042+741712098200177*p^80*q^1044+281554053490812*p^78*q^1046+49759458438596*p^ 76*q^1048+6207286539534*p^74*q^1050+663700112666*p^72*q^1052+64705737232*p^70*q ^1054+5719394126*p^68*q^1056+473516708*p^66*q^1058+27552358*p^64*q^1060+3714238 *p^62*q^1062+45506*p^60*q^1064+92*p^58*q^1066+504*p^103*q^1020+108154*p^101*q^ 1022+4442596*p^99*q^1024+58291155*p^97*q^1026+1039597052*p^95*q^1028+ 13467813646*p^93*q^1030+148350035316*p^91*q^1032+1435091496011*p^89*q^1034+ 12136549023292*p^87*q^1036+85056193080266*p^85*q^1038+392647352409126*p^83*q^ 1040+799643449475282*p^81*q^1042+526897639893268*p^79*q^1044+131643978104802*p^ 77*q^1046+18909562276216*p^75*q^1048+2169745543494*p^73*q^1050+220693730224*p^ 71*q^1052+20784854044*p^69*q^1054+1759417874*p^67*q^1056+123339960*p^65*q^1058+ 10632802*p^63*q^1060+696218*p^61*q^1062+1120*p^59*q^1064+64*p^106*q^1016+28*p^ 104*q^1018+4398*p^102*q^1020+887008*p^100*q^1022+12512198*p^98*q^1024+240625812 *p^96*q^1026+3520118524*p^94*q^1028+43017222330*p^92*q^1030+443574209798*p^90*q ^1032+4039491906276*p^88*q^1034+31600698241594*p^86*q^1036+189563752551698*p^84 *q^1038+624206281479557*p^82*q^1040+754667417268258*p^80*q^1042+298798352685678 *p^78*q^1044+54498015092688*p^76*q^1046+6853413408471*p^74*q^1048+739268269662* p^72*q^1050+72239376969*p^70*q^1052+6430496870*p^68*q^1054+541546971*p^66*q^ 1056+29959380*p^64*q^1058+4057916*p^62*q^1060+94636*p^60*q^1062+694*p^58*q^1064 +88*p^103*q^1018+70916*p^101*q^1020+4441492*p^99*q^1022+49671500*p^97*q^1024+ 925153419*p^95*q^1026+11975943212*p^93*q^1028+133116121405*p^91*q^1030+ 1290544299254*p^89*q^1032+10997697490780*p^87*q^1034+77603939738144*p^85*q^1036 +369615692671590*p^83*q^1038+785308616820680*p^81*q^1040+549556170979489*p^79*q ^1042+141918690836408*p^77*q^1044+20849090556912*p^75*q^1046+2403894724612*p^73 *q^1048+246607227067*p^71*q^1050+23275844050*p^69*q^1052+1962393686*p^67*q^1054 +147064208*p^65*q^1056+9934344*p^63*q^1058+1018152*p^61*q^1060+3954*p^59*q^1062 +8*p^106*q^1014+8*p^104*q^1016+4792*p^102*q^1018+683688*p^100*q^1020+12182784*p ^98*q^1022+210173029*p^96*q^1024+3149726820*p^94*q^1026+38432024606*p^92*q^1028 +398908009160*p^90*q^1030+3637459941944*p^88*q^1032+28742660322526*p^86*q^1034+ 174625222106381*p^84*q^1036+599899041645564*p^82*q^1038+761241125074071*p^80*q^ 1040+318213217585072*p^78*q^1042+59402869648007*p^76*q^1044+7588650861856*p^74* q^1046+822011474531*p^72*q^1048+80746488360*p^70*q^1050+7267580180*p^68*q^1052+ 617791520*p^66*q^1054+33882018*p^64*q^1056+4737984*p^62*q^1058+152008*p^60*q^ 1060+24*p^58*q^1062+424*p^105*q^1014+448*p^103*q^1016+46550*p^101*q^1018+ 3666516*p^99*q^1020+43623638*p^97*q^1022+807326476*p^95*q^1024+10583002406*p^93 *q^1026+119020708126*p^91*q^1028+1161724868438*p^89*q^1030+9926732126710*p^87*q ^1032+71027707504159*p^85*q^1034+345561384542572*p^83*q^1036+773904413840290*p^ 81*q^1038+568546225949088*p^79*q^1040+153513202663419*p^77*q^1042+ 22879496565670*p^75*q^1044+2669151499499*p^73*q^1046+274304148180*p^71*q^1048+ 26025183243*p^69*q^1050+2178806526*p^67*q^1052+170711868*p^65*q^1054+9567790*p^ 63*q^1056+1273734*p^61*q^1058+9124*p^59*q^1060+44*p^57*q^1062+1922*p^102*q^1016 +437474*p^100*q^1018+12269072*p^98*q^1020+180247020*p^96*q^1022+2804410100*p^94 *q^1024+34405491792*p^92*q^1026+357807759062*p^90*q^1028+3286063362000*p^88*q^ 1030+26045283045552*p^86*q^1032+161445898650960*p^84*q^1034+572166980556474*p^ 82*q^1036+770261042327548*p^80*q^1038+336354417349716*p^78*q^1040+ 64947061144088*p^76*q^1042+8368974013239*p^74*q^1044+915226935442*p^72*q^1046+ 90106447345*p^70*q^1048+8200473062*p^68*q^1050+687808424*p^66*q^1052+41254452*p ^64*q^1054+4485026*p^62*q^1056+199054*p^60*q^1058+174*p^58*q^1060+232*p^105*q^ 1012+208*p^103*q^1014+34828*p^101*q^1016+3137548*p^99*q^1018+39338638*p^97*q^ 1020+710323522*p^95*q^1022+9423934504*p^93*q^1024+106739527746*p^91*q^1026+ 1044369004178*p^89*q^1028+8991587803549*p^87*q^1030+64710048488222*p^85*q^1032+ 324083308831298*p^83*q^1034+756159778406188*p^81*q^1036+590081368307331*p^79*q^ 1038+165018586585896*p^77*q^1040+25201831474795*p^75*q^1042+2956251620092*p^73* q^1044+306635507420*p^71*q^1046+29131039962*p^69*q^1048+2457017231*p^67*q^1050+ 205141434*p^65*q^1052+9210774*p^63*q^1054+1770738*p^61*q^1056+26252*p^59*q^1058 +1504*p^104*q^1012+3424*p^102*q^1014+342587*p^100*q^1016+11591870*p^98*q^1018+ 156572776*p^96*q^1020+2499703752*p^94*q^1022+30640936806*p^92*q^1024+ 321547031094*p^90*q^1026+2956997494620*p^88*q^1028+23670833027100*p^86*q^1030+ 148365731087138*p^84*q^1032+547351168674060*p^82*q^1034+772929994048303*p^80*q^ 1036+356774179960404*p^78*q^1038+70641287814571*p^76*q^1040+9258174766192*p^74* q^1042+1015949143501*p^72*q^1044+100559059142*p^70*q^1046+9214490544*p^68*q^ 1048+759206630*p^66*q^1050+47977414*p^64*q^1052+4176300*p^62*q^1054+293438*p^60 *q^1056+416*p^58*q^1058+12*p^105*q^1010+40*p^103*q^1012+21014*p^101*q^1014+ 2259904*p^99*q^1016+35731778*p^97*q^1018+615565638*p^95*q^1020+8354121432*p^93* q^1022+95460806126*p^91*q^1024+939865094848*p^89*q^1026+8112874762686*p^87*q^ 1028+59157139659526*p^85*q^1030+301981420274284*p^83*q^1032+741155253102921*p^ 81*q^1034+607563086897822*p^79*q^1036+177954280280160*p^77*q^1038+ 27619476651852*p^75*q^1040+3280481090850*p^73*q^1042+341258471730*p^71*q^1044+ 32578810003*p^69*q^1046+2775471578*p^67*q^1048+236181476*p^65*q^1050+10441326*p ^63*q^1052+1988782*p^61*q^1054+31610*p^59*q^1056+2176*p^104*q^1010+3008*p^102*q ^1012+234564*p^100*q^1014+10867494*p^98*q^1016+138753704*p^96*q^1018+2223410675 *p^94*q^1020+27404859136*p^92*q^1022+288377149244*p^90*q^1024+2670888499594*p^ 88*q^1026+21430030051706*p^86*q^1028+136880523801596*p^84*q^1030+ 519668671243776*p^82*q^1032+777823489220964*p^80*q^1034+375643934078835*p^78*q^ 1036+77085694176042*p^76*q^1038+10200424830298*p^74*q^1040+1131033339210*p^72*q ^1042+112193485408*p^70*q^1044+10368932876*p^68*q^1046+833199125*p^66*q^1048+ 60123076*p^64*q^1050+3491060*p^62*q^1052+459872*p^60*q^1054+2640*p^58*q^1056+8* p^105*q^1008+3092*p^103*q^1010+19246*p^101*q^1012+1823264*p^99*q^1014+33563184* p^97*q^1016+533749020*p^95*q^1018+7438833320*p^93*q^1020+85489279010*p^91*q^ 1022+844608080036*p^89*q^1024+7342337306406*p^87*q^1026+53819991439492*p^85*q^ 1028+282331893336813*p^83*q^1030+720386161486706*p^81*q^1032+627391111905754*p^ 79*q^1034+190738423281572*p^77*q^1036+30375007069071*p^75*q^1038+3629576444668* p^73*q^1040+380885692504*p^71*q^1042+36378760934*p^69*q^1044+3144497557*p^67*q^ 1046+270617150*p^65*q^1048+11959356*p^63*q^1050+1948922*p^61*q^1052+47684*p^59* q^1054+4*p^57*q^1056+472*p^104*q^1008+920*p^102*q^1010+160668*p^100*q^1012+ 9147308*p^98*q^1014+120339504*p^96*q^1016+1970897080*p^94*q^1018+24365426133*p^ 92*q^1020+259070678306*p^90*q^1022+2402787275724*p^88*q^1024+19464230508452*p^ 86*q^1026+125524585782072*p^84*q^1028+495074360452308*p^82*q^1030+ 776160427081060*p^80*q^1032+396774324824926*p^78*q^1034+83670947723675*p^76*q^ 1036+11274008106026*p^74*q^1038+1254759576933*p^72*q^1040+125441752688*p^70*q^ 1042+11625292039*p^68*q^1044+927172540*p^66*q^1046+72451378*p^64*q^1048+2841154 *p^62*q^1050+708774*p^60*q^1052+5240*p^58*q^1054+9888*p^103*q^1008+24996*p^101* q^1010+1388726*p^99*q^1012+31889796*p^97*q^1014+473066766*p^95*q^1016+ 6630254693*p^93*q^1018+76558158838*p^91*q^1020+760197525390*p^89*q^1022+ 6623847497482*p^87*q^1024+49132808008454*p^85*q^1026+262213469396196*p^83*q^ 1028+702567778239657*p^81*q^1030+642641817882522*p^79*q^1032+205053182455429*p^ 77*q^1034+33248958250476*p^75*q^1036+4024863621395*p^73*q^1038+423848003184*p^ 71*q^1040+40610385672*p^69*q^1042+3572698410*p^67*q^1044+298282485*p^65*q^1046+ 15138426*p^63*q^1048+1942676*p^61*q^1050+74786*p^59*q^1052+88*p^57*q^1054+232*p ^104*q^1006+4112*p^102*q^1008+107850*p^100*q^1010+7568045*p^98*q^1012+107110066 *p^96*q^1014+1719135618*p^94*q^1016+21698822332*p^92*q^1018+231903556560*p^90*q ^1020+2167909619870*p^88*q^1022+17609364742350*p^86*q^1024+115557134509694*p^84 *q^1026+468031145621653*p^82*q^1028+777036253878664*p^80*q^1030+415932113640099 *p^78*q^1032+91096641183570*p^76*q^1034+12408819036802*p^74*q^1036+ 1395667861086*p^72*q^1038+139805091020*p^70*q^1040+13036734780*p^68*q^1042+ 1029974395*p^66*q^1044+87834608*p^64*q^1046+2759752*p^62*q^1048+718948*p^60*q^ 1050+4862*p^58*q^1052+5604*p^103*q^1006+11268*p^101*q^1008+979166*p^99*q^1010+ 29656132*p^97*q^1012+411064894*p^95*q^1014+5931490778*p^93*q^1016+68621792849*p ^91*q^1018+683340504348*p^89*q^1020+5993498410872*p^87*q^1022+44663167433076*p^ 85*q^1024+244394942336623*p^83*q^1026+679357068571354*p^81*q^1028+ 660344046783966*p^79*q^1030+219023423556246*p^77*q^1032+36510667957792*p^75*q^ 1034+4449392054436*p^73*q^1036+472583116306*p^71*q^1038+45388264214*p^69*q^1040 +4043723911*p^67*q^1042+327573600*p^65*q^1044+19324860*p^63*q^1046+1299414*p^61 *q^1048+183144*p^59*q^1050+732*p^57*q^1052+24*p^104*q^1004+25172*p^102*q^1006+ 139716*p^100*q^1008+6502826*p^98*q^1010+96459816*p^96*q^1012+1526689652*p^94*q^ 1014+19311281202*p^92*q^1016+208237083386*p^90*q^1018+1950050549768*p^88*q^1020 +15979006006606*p^86*q^1022+105785934303558*p^84*q^1024+443951205788010*p^82*q^ 1026+771086194390769*p^80*q^1028+437549003510758*p^78*q^1030+98650239524412*p^ 76*q^1032+13702985808882*p^74*q^1034+1548211283629*p^72*q^1036+156545683000*p^ 70*q^1038+14571629418*p^68*q^1040+1175034128*p^66*q^1042+104092206*p^64*q^1044+ 3210938*p^62*q^1046+956182*p^60*q^1048+7028*p^58*q^1050+2792*p^103*q^1004+9736* p^101*q^1006+658584*p^99*q^1008+25941424*p^97*q^1010+361543786*p^95*q^1012+ 5249023268*p^93*q^1014+61252253178*p^91*q^1016+614608697486*p^89*q^1018+ 5402507106908*p^87*q^1020+40721168467258*p^85*q^1022+226371419033220*p^83*q^ 1024+659187338073479*p^81*q^1026+672848465404640*p^79*q^1028+234722582624110*p^ 77*q^1030+39895519908290*p^75*q^1032+4928520508168*p^73*q^1034+525096035464*p^ 71*q^1036+50581984546*p^69*q^1038+4563833956*p^67*q^1040+349878704*p^65*q^1042+ 23642440*p^63*q^1044+847254*p^61*q^1046+196052*p^59*q^1048+240*p^57*q^1050+ 30184*p^102*q^1004+91784*p^100*q^1006+4910130*p^98*q^1008+88446018*p^96*q^1010+ 1335989176*p^94*q^1012+17249784360*p^92*q^1014+186649159498*p^90*q^1016+ 1759468798972*p^88*q^1018+14450762292395*p^86*q^1020+97197793107914*p^84*q^1022 +418133718632548*p^82*q^1024+767670492473590*p^80*q^1026+456567158641376*p^78*q ^1028+107175670977416*p^76*q^1030+15063302424330*p^74*q^1032+1721277664668*p^72 *q^1034+174518456818*p^70*q^1036+16315718612*p^68*q^1038+1334189585*p^66*q^1040 +119583296*p^64*q^1042+4493360*p^62*q^1044+807800*p^60*q^1046+30728*p^58*q^1048 +48*p^56*q^1050+924*p^103*q^1002+40888*p^101*q^1004+641414*p^99*q^1006+23891548 *p^97*q^1008+319294347*p^95*q^1010+4676603816*p^93*q^1012+54828256414*p^91*q^ 1014+551927472384*p^89*q^1016+4886565731006*p^87*q^1018+36973444418294*p^85*q^ 1020+210351680391394*p^83*q^1022+634398381153766*p^81*q^1024+687715487517212*p^ 79*q^1026+249840965174440*p^77*q^1028+43750159020209*p^75*q^1030+5445189743648* p^73*q^1032+585442426488*p^71*q^1034+56618257120*p^69*q^1036+5157297359*p^67*q^ 1038+386512204*p^65*q^1040+30781803*p^63*q^1042+616438*p^61*q^1044+313740*p^59* q^1046+324*p^57*q^1048+8*p^104*q^1000+20136*p^102*q^1002+66046*p^100*q^1004+ 3664520*p^98*q^1006+79731730*p^96*q^1008+1176746728*p^94*q^1010+15357051526*p^ 92*q^1012+167502759082*p^90*q^1014+1582192790859*p^88*q^1016+13105235132002*p^ 86*q^1018+88822973580197*p^84*q^1020+395025075862640*p^82*q^1022+ 757871077695191*p^80*q^1024+478089263510676*p^78*q^1026+115752923972588*p^76*q^ 1028+16616408982294*p^74*q^1030+1906469315043*p^72*q^1032+194939172602*p^70*q^ 1034+18146002116*p^68*q^1036+1522974544*p^66*q^1038+129547814*p^64*q^1040+ 5356132*p^62*q^1042+507134*p^60*q^1044+42692*p^58*q^1046+56*p^103*q^1000+88200* p^101*q^1002+537164*p^99*q^1004+19938800*p^97*q^1006+280522470*p^95*q^1008+ 4134930921*p^93*q^1010+48884919588*p^91*q^1012+496200557259*p^89*q^1014+ 4402640149000*p^87*q^1016+33681800961469*p^85*q^1018+194309586669804*p^83*q^ 1020+612489552993425*p^81*q^1022+697166203868174*p^79*q^1024+266773971952538*p^ 77*q^1026+47723751353700*p^75*q^1028+6028256628273*p^73*q^1030+650599872212*p^ 71*q^1032+63342495574*p^69*q^1034+5801481598*p^67*q^1036+427422136*p^65*q^1038+ 38486074*p^63*q^1040+868460*p^61*q^1042+400620*p^59*q^1044+2792*p^57*q^1046+ 11604*p^102*q^1000+75000*p^100*q^1002+2904172*p^98*q^1004+74608288*p^96*q^1006+ 1043901079*p^94*q^1008+13727008380*p^92*q^1010+150194002040*p^90*q^1012+ 1427379934858*p^88*q^1014+11844995897535*p^86*q^1016+81486062199692*p^84*q^1018 +370619045558663*p^82*q^1020+750379609104924*p^80*q^1022+496673897806109*p^78*q ^1024+125433296093244*p^76*q^1026+18246202484884*p^74*q^1028+2118343822092*p^72 *q^1030+217083995978*p^70*q^1032+20271937668*p^68*q^1034+1741330994*p^66*q^1036 +139247424*p^64*q^1038+7314801*p^62*q^1040+222172*p^60*q^1042+60844*p^58*q^1044 +228*p^103*q^998+89260*p^101*q^1000+401798*p^99*q^1002+16440678*p^97*q^1004+ 247838076*p^95*q^1006+3649769184*p^93*q^1008+43709074570*p^91*q^1010+ 445225728692*p^89*q^1012+3979406048210*p^87*q^1014+30548042891418*p^85*q^1016+ 180114969974271*p^83*q^1018+586616031370426*p^81*q^1020+708763790704428*p^79*q^ 1022+282957361219354*p^77*q^1024+52239753963199*p^75*q^1026+6651615872076*p^73* q^1028+724848269561*p^71*q^1030+70905602220*p^69*q^1032+6498150794*p^67*q^1034+ 480450702*p^65*q^1036+46327582*p^63*q^1038+1066754*p^61*q^1040+318316*p^59*q^ 1042+7700*p^57*q^1044+2304*p^102*q^998+169354*p^100*q^1000+2547538*p^98*q^1002+ 66890528*p^96*q^1004+918006674*p^94*q^1006+12227707783*p^92*q^1008+134652629426 *p^90*q^1010+1283563838785*p^88*q^1012+10736033051126*p^86*q^1014+ 74349134352247*p^84*q^1016+348903192811846*p^82*q^1018+736785293258787*p^80*q^ 1020+517602290264416*p^78*q^1022+135128596027776*p^76*q^1024+20101059467012*p^ 74*q^1026+2345362684501*p^72*q^1028+242332696592*p^70*q^1030+22581729913*p^68*q ^1032+1992977780*p^66*q^1034+149324318*p^64*q^1036+9703906*p^62*q^1038+138322*p ^60*q^1040+132856*p^58*q^1042+96*p^56*q^1044+24*p^103*q^996+74704*p^101*q^998+ 335924*p^99*q^1000+12948326*p^97*q^1002+225105914*p^95*q^1004+3242604636*p^93*q ^1006+39005110486*p^91*q^1008+400445570273*p^89*q^1010+3584847983346*p^87*q^ 1012+27802825333512*p^85*q^1014+165943387926668*p^83*q^1016+563795888215368*p^ 81*q^1018+714556181738756*p^79*q^1020+301012421449643*p^77*q^1022+ 56890870103572*p^75*q^1024+7358663362395*p^73*q^1026+805016796298*p^71*q^1028+ 79351571217*p^69*q^1030+7262972364*p^67*q^1032+549823284*p^65*q^1034+51599694*p ^63*q^1036+1452644*p^61*q^1038+188952*p^59*q^1040+5944*p^57*q^1042+2712*p^102*q ^996+244836*p^100*q^998+1978170*p^98*q^1000+59249140*p^96*q^1002+803475443*p^94 *q^1004+10863510576*p^92*q^1006+120530910804*p^90*q^1008+1156462007838*p^88*q^ 1010+9698210545107*p^86*q^1012+68089025844094*p^84*q^1014+326167879128196*p^82* q^1016+725772914802044*p^80*q^1018+535127247163209*p^78*q^1020+146018182324270* p^76*q^1022+22046398173029*p^74*q^1024+2603292047880*p^72*q^1026+269621657212*p ^70*q^1028+25278930580*p^68*q^1030+2259790458*p^66*q^1032+156536694*p^64*q^1034 +13366232*p^62*q^1036+179224*p^60*q^1038+137720*p^58*q^1040+940*p^56*q^1042+ 30880*p^101*q^996+353340*p^99*q^998+10890098*p^97*q^1000+203917602*p^95*q^1002+ 2873532304*p^93*q^1004+34927728414*p^91*q^1006+359386636666*p^89*q^1008+ 3240149534279*p^87*q^1010+25202571599312*p^85*q^1012+153456904207276*p^83*q^ 1014+537461158423728*p^81*q^1016+722708900944115*p^79*q^1018+317958739822982*p^ 77*q^1020+62154332646353*p^75*q^1022+8112328371572*p^73*q^1024+896313719450*p^ 71*q^1026+88720197486*p^69*q^1028+8082269162*p^67*q^1030+636484738*p^65*q^1032+ 57822538*p^63*q^1034+1938938*p^61*q^1036+43028*p^59*q^1038+27436*p^57*q^1040+ 872*p^102*q^994+288418*p^100*q^996+1764224*p^98*q^998+50619763*p^96*q^1000+ 710717060*p^94*q^1002+9674537820*p^92*q^1004+108007861028*p^90*q^1006+ 1039695243406*p^88*q^1008+8783446292538*p^86*q^1010+62048174026510*p^84*q^1012+ 305929957960024*p^82*q^1014+708796933099046*p^80*q^1016+555086229571194*p^78*q^ 1018+156856564652662*p^76*q^1020+24260357136008*p^74*q^1022+2880885203797*p^72* q^1024+301030786472*p^70*q^1026+28317882671*p^68*q^1028+2571616086*p^66*q^1030+ 171707715*p^64*q^1032+16742420*p^62*q^1034+245150*p^60*q^1036+132760*p^58*q^ 1038+196*p^56*q^1040+20748*p^101*q^994+510740*p^99*q^996+8677234*p^97*q^998+ 184732382*p^95*q^1000+2539612008*p^93*q^1002+31094925012*p^91*q^1004+ 322998922783*p^89*q^1006+2917056427762*p^87*q^1008+22913711690293*p^85*q^1010+ 141090287309448*p^83*q^1012+514192097774438*p^81*q^1014+724657683930866*p^79*q^ 1016+337011190646433*p^77*q^1018+67537413871552*p^75*q^1020+8964044798744*p^73* q^1022+994338022546*p^71*q^1024+99045898323*p^69*q^1026+8952959752*p^67*q^1028+ 731676240*p^65*q^1030+59319172*p^63*q^1032+2789674*p^61*q^1034+23510*p^59*q^ 1036+38580*p^57*q^1038+52*p^55*q^1040+80*p^102*q^992+199644*p^100*q^994+1333484 *p^98*q^996+42470944*p^96*q^998+629524476*p^94*q^1000+8589475454*p^92*q^1002+ 96694513455*p^90*q^1004+936562040228*p^88*q^1006+7931576567251*p^86*q^1008+ 56745235875956*p^84*q^1010+285118170322380*p^82*q^1012+694475016263878*p^80*q^ 1014+570964995174183*p^78*q^1016+169018092988942*p^76*q^1018+26571682304911*p^ 74*q^1020+3195635280178*p^72*q^1022+335018514156*p^70*q^1024+31806153862*p^68*q ^1026+2894560104*p^66*q^1028+191421208*p^64*q^1030+20412848*p^62*q^1032+352216* p^60*q^1034+44992*p^58*q^1036+3092*p^56*q^1038+8*p^103*q^990+12440*p^101*q^992+ 729870*p^99*q^994+7719130*p^97*q^996+168015434*p^95*q^998+2250163812*p^93*q^ 1000+27878753169*p^91*q^1002+289833760652*p^89*q^1004+2636253246542*p^87*q^1006 +20754719959406*p^85*q^1008+130156833942581*p^83*q^1010+488126852145768*p^81*q^ 1012+728879446450823*p^79*q^1014+354525240863962*p^77*q^1016+73661175180412*p^ 75*q^1018+9872404169108*p^73*q^1020+1106893449397*p^71*q^1022+110542299476*p^69 *q^1024+9996724754*p^67*q^1026+853195772*p^65*q^1028+62228209*p^63*q^1030+ 4220798*p^61*q^1032+30692*p^59*q^1034+56584*p^57*q^1036+40*p^102*q^990+124280*p ^100*q^992+1372660*p^98*q^994+35224768*p^96*q^996+559756490*p^94*q^998+ 7630655869*p^92*q^1000+86477437262*p^90*q^1002+841366260975*p^88*q^1004+ 7179235348102*p^86*q^1006+51637977079862*p^84*q^1008+266536590855692*p^82*q^ 1010+674890410642083*p^80*q^1012+589295014894782*p^78*q^1014+180978791050869*p^ 76*q^1016+29199677404858*p^74*q^1018+3532262903635*p^72*q^1020+373524181684*p^ 70*q^1022+35660326028*p^68*q^1024+3220977542*p^66*q^1026+217912942*p^64*q^1028+ 22847856*p^62*q^1030+409596*p^60*q^1032+4160*p^58*q^1034+7220*p^56*q^1036+12*p^ 103*q^988+2760*p^101*q^990+751964*p^99*q^992+6123492*p^97*q^994+146387258*p^95* q^996+1984534287*p^93*q^998+24792346098*p^91*q^1000+260454605888*p^89*q^1002+ 2372673159316*p^87*q^1004+18860140718454*p^85*q^1006+119426001906598*p^83*q^ 1008+464915313650291*p^81*q^1010+727041284701078*p^79*q^1012+374152497967810*p^ 77*q^1014+79863201057850*p^75*q^1016+10901418557465*p^73*q^1018+1227163129640*p ^71*q^1020+123409729031*p^69*q^1022+11127316766*p^67*q^1024+989361130*p^65*q^ 1026+62856142*p^63*q^1028+5739526*p^61*q^1030+62428*p^59*q^1032+38318*p^57*q^ 1034+132*p^55*q^1036+196*p^102*q^988+97516*p^100*q^990+1598618*p^98*q^992+ 29949652*p^96*q^994+510434493*p^94*q^996+6801011336*p^92*q^998+77486156548*p^90 *q^1000+758034935572*p^88*q^1002+6480200291016*p^86*q^1004+47171673912926*p^84* q^1006+247605530663647*p^82*q^1008+657803287179724*p^80*q^1010+603199141481551* p^78*q^1012+194407565444074*p^76*q^1014+31935136470811*p^74*q^1016+ 3915479611410*p^72*q^1018+415662160966*p^70*q^1020+40030545592*p^68*q^1022+ 3581159269*p^66*q^1024+254203526*p^64*q^1026+25386519*p^62*q^1028+761560*p^60*q ^1030+2228*p^58*q^1032+13434*p^56*q^1034+8*p^103*q^986+1456*p^101*q^988+560886* p^99*q^990+5285410*p^97*q^992+127836820*p^95*q^994+1742514128*p^93*q^996+ 22121068916*p^91*q^998+233381850312*p^89*q^1000+2141991523070*p^87*q^1002+ 17066917952354*p^85*q^1004+109964912766033*p^83*q^1006+439485529009134*p^81*q^ 1008+727283287512569*p^79*q^1010+391999083444512*p^77*q^1012+86900550078285*p^ 75*q^1014+11991278009148*p^73*q^1016+1365004888778*p^71*q^1018+137539922422*p^ 69*q^1020+12497832238*p^67*q^1022+1129305970*p^65*q^1024+65699938*p^63*q^1026+ 7186754*p^61*q^1028+50332*p^59*q^1030+4212*p^57*q^1032+900*p^55*q^1034+188*p^ 102*q^986+37880*p^100*q^988+1958102*p^98*q^990+25389855*p^96*q^992+455928662*p^ 94*q^994+6046717634*p^92*q^996+69395473446*p^90*q^998+681103891300*p^88*q^1000+ 5864729030198*p^86*q^1002+42880562968950*p^84*q^1004+230815969944398*p^82*q^ 1006+635978450487022*p^80*q^1008+619328632200448*p^78*q^1010+207504212339607*p^ 76*q^1012+35039047309032*p^74*q^1014+4324290181842*p^72*q^1016+463269071596*p^ 70*q^1018+44769202594*p^68*q^1020+3949927146*p^66*q^1022+304540305*p^64*q^1024+ 26117382*p^62*q^1026+1219730*p^60*q^1028+8440*p^58*q^1030+19836*p^56*q^1032+12* p^103*q^984+1936*p^101*q^986+494876*p^99*q^988+4918136*p^97*q^990+108687474*p^ 95*q^992+1553541884*p^93*q^994+19701451786*p^91*q^996+209552359587*p^89*q^998+ 1927550584328*p^87*q^1000+15495720118521*p^85*q^1002+100690233568728*p^83*q^ 1004+416928178342281*p^81*q^1006+721441509946052*p^79*q^1008+411921477850559*p^ 77*q^1010+94021793088272*p^75*q^1012+13229640264736*p^73*q^1014+1512490841936*p ^71*q^1016+153637705782*p^69*q^1018+14047915014*p^67*q^1020+1284568390*p^65*q^ 1022+71020962*p^63*q^1024+8854514*p^61*q^1026+89640*p^59*q^1028+64*p^57*q^1030+ 1540*p^55*q^1032+2*p^106*q^980+160*p^102*q^984+21476*p^100*q^986+1821588*p^98*q ^988+21045014*p^96*q^990+410491262*p^94*q^992+5348707740*p^92*q^994+61993066379 *p^90*q^996+613173970024*p^88*q^998+5291097639806*p^86*q^1000+39122493316172*p^ 84*q^1002+213797382926845*p^82*q^1004+616923949267224*p^80*q^1006+ 630618053702272*p^78*q^1008+222141705176354*p^76*q^1010+38262513624225*p^74*q^ 1012+4787578357796*p^72*q^1014+515029895741*p^70*q^1016+50031663850*p^68*q^1018 +4360971412*p^66*q^1020+358183986*p^64*q^1022+24698232*p^62*q^1024+1736360*p^60 *q^1026+8434*p^58*q^1028+4448*p^56*q^1030+56*p^54*q^1032+1804*p^101*q^984+ 290052*p^99*q^986+4938070*p^97*q^988+93975018*p^95*q^990+1380524922*p^93*q^992+ 17610145998*p^91*q^994+187930071394*p^89*q^996+1739878267121*p^87*q^998+ 14017991231580*p^85*q^1000+92545081066060*p^83*q^1002+392536876508236*p^81*q^ 1004+717915522469836*p^79*q^1006+429562008816730*p^77*q^1008+102058433106121*p^ 75*q^1010+14537440948810*p^73*q^1012+1681372210953*p^71*q^1014+171206275234*p^ 69*q^1016+15878826784*p^67*q^1018+1434549594*p^65*q^1020+83399796*p^63*q^1022+ 10810226*p^61*q^1024+184948*p^59*q^1026+600*p^57*q^1028+6006*p^55*q^1030+216*p^ 102*q^982+14504*p^100*q^984+1786664*p^98*q^986+19090324*p^96*q^988+362363050*p^ 94*q^990+4750767687*p^92*q^992+55481173406*p^90*q^994+550681856506*p^88*q^996+ 4785367280516*p^86*q^998+35532449609666*p^84*q^1000+198705347850980*p^82*q^1002 +593470595005011*p^80*q^1004+644257985981706*p^78*q^1006+236275063548765*p^76*q ^1008+41918938930496*p^74*q^1010+5284528918436*p^72*q^1012+573889183948*p^70*q^ 1014+55928563668*p^68*q^1016+4839123248*p^66*q^1018+427379678*p^64*q^1020+ 23696906*p^62*q^1022+2263150*p^60*q^1024+5592*p^58*q^1026+56*p^54*q^1030+36*p^ 105*q^978+8*p^103*q^980+1568*p^101*q^982+180732*p^99*q^984+4938356*p^97*q^986+ 78265226*p^95*q^988+1237080602*p^93*q^990+15654058588*p^91*q^992+168566117692*p ^89*q^994+1564967643652*p^87*q^996+12717196384723*p^85*q^998+84608562336794*p^ 83*q^1000+370914098395969*p^81*q^1002+708305133788990*p^79*q^1004+ 449460331993518*p^77*q^1006+110124432293848*p^75*q^1008+16016977069053*p^73*q^ 1010+1860707643934*p^71*q^1012+191026726233*p^69*q^1014+17785163822*p^67*q^1016 +1585827874*p^65*q^1018+98360878*p^63*q^1020+10941298*p^61*q^1022+319166*p^59*q ^1024+1468*p^57*q^1026+2886*p^55*q^1028+24*p^102*q^980+13968*p^100*q^982+ 1404456*p^98*q^984+16281858*p^96*q^986+318053107*p^94*q^988+4196842300*p^92*q^ 990+49546469477*p^90*q^992+495750419854*p^88*q^994+4315699696587*p^86*q^996+ 32383806291710*p^84*q^998+183621300950976*p^82*q^1000+572853111413028*p^80*q^ 1002+652463248201571*p^78*q^1004+252095786089472*p^76*q^1006+45692640728963*p^ 74*q^1008+5846893940116*p^72*q^1010+637956948833*p^70*q^1012+62457966246*p^68*q ^1014+5436036522*p^66*q^1016+494265740*p^64*q^1018+23155972*p^62*q^1020+3362806 *p^60*q^1022+18716*p^58*q^1024+12*p^56*q^1026+978*p^54*q^1028+1924*p^101*q^980+ 111700*p^99*q^982+5049594*p^97*q^984+70489296*p^95*q^986+1114338342*p^93*q^988+ 14013732990*p^91*q^990+151194104060*p^89*q^992+1412233398164*p^87*q^994+ 11499342893888*p^85*q^996+77620304755647*p^83*q^998+347967438088200*p^81*q^1000 +700977020635591*p^79*q^1002+466526626149354*p^77*q^1004+119259128094982*p^75*q ^1006+17580223301930*p^73*q^1008+2066882678849*p^71*q^1010+212893260480*p^69*q^ 1012+20079680349*p^67*q^1014+1731106134*p^65*q^1016+123360934*p^63*q^1018+ 10869182*p^61*q^1020+434770*p^59*q^1022+104*p^57*q^1024+274*p^104*q^976+164*p^ 102*q^978+10872*p^100*q^980+1001888*p^98*q^982+15016158*p^96*q^984+272036746*p^ 94*q^986+3716852926*p^92*q^988+44246745372*p^90*q^990+444692644076*p^88*q^992+ 3901594719522*p^86*q^994+29377940927468*p^84*q^996+170193192489192*p^82*q^998+ 548621903120676*p^80*q^1000+663016370260310*p^78*q^1002+267116290129915*p^76*q^ 1004+49979712338618*p^74*q^1006+6446006888995*p^72*q^1008+710188465624*p^70*q^ 1010+69653839741*p^68*q^1012+6100356660*p^66*q^1014+569601418*p^64*q^1016+ 24622088*p^62*q^1018+4054368*p^60*q^1020+39440*p^58*q^1022+140*p^56*q^1024+1148 *p^54*q^1026+728*p^101*q^978+87690*p^99*q^980+4800232*p^97*q^982+59895476*p^95* q^984+993401078*p^93*q^986+12445211600*p^91*q^988+135575812801*p^89*q^990+ 1270381843528*p^87*q^992+10427397659573*p^85*q^994+70863726361776*p^83*q^996+ 327559458586518*p^81*q^998+688058604676976*p^79*q^1000+485794281965950*p^77*q^ 1002+128327408339572*p^75*q^1004+19349004341004*p^73*q^1006+2285592779576*p^71* q^1008+237619889292*p^69*q^1010+22447557106*p^67*q^1012+1894964652*p^65*q^1014+ 149179836*p^63*q^1016+9297020*p^61*q^1018+714166*p^59*q^1020+1128*p^57*q^1022+ 66*p^53*q^1026+64*p^104*q^974+8*p^102*q^976+12064*p^100*q^978+724532*p^98*q^980 +14038290*p^96*q^982+239531906*p^94*q^984+3325534562*p^92*q^986+39563311455*p^ 90*q^988+400363273114*p^88*q^990+3516780336334*p^86*q^992+26756320461196*p^84*q ^994+156863207447289*p^82*q^996+527008325006668*p^80*q^998+668032353081968*p^78 *q^1000+283925503929792*p^76*q^1002+54377855096099*p^74*q^1004+7127481478722*p^ 72*q^1006+788836782333*p^70*q^1008+77794725018*p^68*q^1010+6923402188*p^66*q^ 1012+640584750*p^64*q^1014+30007534*p^62*q^1016+4778292*p^60*q^1018+71134*p^58* q^1020+1148*p^103*q^974+1548*p^101*q^976+69824*p^99*q^978+3955608*p^97*q^980+ 52736586*p^95*q^982+878626046*p^93*q^984+11050605372*p^91*q^986+121350476688*p^ 89*q^988+1145361820441*p^87*q^990+9422024336222*p^85*q^992+64916572221406*p^83* q^994+306215776148116*p^81*q^996+677298823151488*p^79*q^998+501931338248872*p^ 77*q^1000+138577387374807*p^75*q^1002+21206910104346*p^73*q^1004+2536547950984* p^71*q^1006+264740310684*p^69*q^1008+25171528750*p^67*q^1010+2075173788*p^65*q^ 1012+180214892*p^63*q^1014+7621614*p^61*q^1016+1052692*p^59*q^1018+2492*p^57*q^ 1020+4*p^55*q^1022+274*p^53*q^1024+7916*p^100*q^976+486512*p^98*q^978+13815062* p^96*q^980+209418496*p^94*q^982+2963044028*p^92*q^984+35424756484*p^90*q^986+ 359296314620*p^88*q^988+3178753892734*p^86*q^990+24253573032913*p^84*q^992+ 145083383608406*p^82*q^994+502375217372070*p^80*q^996+675124475460350*p^78*q^ 998+299722005116481*p^76*q^1000+59359955346818*p^74*q^1002+7849887605026*p^72*q ^1004+877608707658*p^70*q^1006+86724935826*p^68*q^1008+7846722768*p^66*q^1010+ 704503688*p^64*q^1012+38520592*p^62*q^1014+4802734*p^60*q^1016+103916*p^58*q^ 1018+24*p^56*q^1020+944*p^103*q^972+460*p^101*q^974+62870*p^99*q^976+3384328*p^ 97*q^978+46317346*p^95*q^980+770626262*p^93*q^982+9832918796*p^91*q^984+ 108681291446*p^89*q^986+1029925143212*p^87*q^988+8538306020880*p^85*q^990+ 59173252731202*p^83*q^992+287298661596699*p^81*q^994+661272251828396*p^79*q^996 +520130275576456*p^77*q^998+148718289729026*p^75*q^1000+23314349400623*p^73*q^ 1002+2803693933146*p^71*q^1004+295494116839*p^69*q^1006+28101477282*p^67*q^1008 +2306947998*p^65*q^1010+217385672*p^63*q^1012+6993842*p^61*q^1014+1490714*p^59* q^1016+9120*p^57*q^1018+2888*p^102*q^972+9720*p^100*q^974+410020*p^98*q^976+ 12342962*p^96*q^978+181925780*p^94*q^980+2655653366*p^92*q^982+31576402834*p^90 *q^984+323221692174*p^88*q^986+2864427215481*p^86*q^988+22067293474176*p^84*q^ 990+133412517682045*p^82*q^992+480541235736126*p^80*q^994+676523116639338*p^78* q^996+317311129468008*p^76*q^998+64458575356015*p^74*q^1000+8668951221240*p^72* q^1002+973191917227*p^70*q^1004+96856277672*p^68*q^1006+8847359136*p^66*q^1008+ 759718084*p^64*q^1010+47148692*p^62*q^1012+3878876*p^60*q^1014+184232*p^58*q^ 1016+48*p^56*q^1018+36*p^52*q^1022+56*p^103*q^970+20*p^101*q^972+51360*p^99*q^ 974+2398526*p^97*q^976+42078454*p^95*q^978+682466356*p^93*q^980+8733005278*p^91 *q^982+97342543134*p^89*q^984+928400437797*p^87*q^986+7713069873612*p^85*q^988+ 54133510486956*p^83*q^990+267679592692124*p^81*q^992+647672789156220*p^79*q^994 +534670185912860*p^77*q^996+160110847878217*p^75*q^998+25522032932366*p^73*q^ 1000+3108989648386*p^71*q^1002+329232094764*p^69*q^1004+31420859594*p^67*q^1006 +2612792298*p^65*q^1008+252952538*p^63*q^1010+8596124*p^61*q^1012+1970258*p^59* q^1014+12728*p^57*q^1016+5760*p^102*q^970+6924*p^100*q^972+317476*p^98*q^974+ 11760276*p^96*q^976+161492136*p^94*q^978+2361308083*p^92*q^980+28277074746*p^90 *q^982+289896313547*p^88*q^984+2587924910736*p^86*q^986+19991404307454*p^84*q^ 988+123109613514144*p^82*q^990+456030636863178*p^80*q^992+680170720070872*p^78* q^994+333564730310503*p^76*q^996+70227250485618*p^74*q^998+9539625177326*p^72*q ^1000+1082385089980*p^70*q^1002+108108039460*p^68*q^1004+9999786362*p^66*q^1006 +811589104*p^64*q^1008+61760930*p^62*q^1010+2745638*p^60*q^1012+299748*p^58*q^ 1014+624*p^56*q^1016+56*p^103*q^968+4516*p^101*q^970+49638*p^99*q^972+2007897*p ^97*q^974+37354850*p^95*q^976+593478880*p^93*q^978+7777977716*p^91*q^980+ 87091632855*p^89*q^982+834420633096*p^87*q^984+6984207590914*p^85*q^986+ 49288857625790*p^83*q^988+250300096896349*p^81*q^990+629083712517736*p^79*q^992 +551454299984844*p^77*q^994+171277382362782*p^75*q^996+28014675986992*p^73*q^ 998+3433263473364*p^71*q^1000+366821209101*p^69*q^1002+34946995026*p^67*q^1004+ 2954758698*p^65*q^1006+286765220*p^63*q^1008+10182776*p^61*q^1010+1979652*p^59* q^1012+20800*p^57*q^1014+2*p^51*q^1020+1496*p^102*q^968+1008*p^100*q^970+261470 *p^98*q^972+9600452*p^96*q^974+140565664*p^94*q^976+2103146902*p^92*q^978+ 25157458132*p^90*q^980+260627260604*p^88*q^982+2331326942303*p^86*q^984+ 18175486631090*p^84*q^986+113003555765549*p^82*q^988+434336630650060*p^80*q^990 +677835781933983*p^78*q^992+351743561084382*p^76*q^994+76079167653721*p^74*q^ 996+10525758466130*p^72*q^998+1199523370437*p^70*q^1000+120955454924*p^68*q^ 1002+11230338099*p^66*q^1004+880888192*p^64*q^1006+76414406*p^62*q^1008+2062998 *p^60*q^1010+541500*p^58*q^1012+1668*p^56*q^1014+18920*p^101*q^968+53166*p^99*q ^970+1586598*p^97*q^972+35118029*p^95*q^974+530799138*p^93*q^976+6957491562*p^ 91*q^978+78130159888*p^89*q^980+752329472596*p^87*q^982+6307219375802*p^85*q^ 984+45029407448734*p^83*q^986+232541908180538*p^81*q^988+612890480562666*p^79*q ^990+563960135363234*p^77*q^992+183865435445357*p^75*q^994+30623163912316*p^73* q^996+3804041242267*p^71*q^998+408352713422*p^69*q^1000+39045278816*p^67*q^1002 +3386700420*p^65*q^1004+312583212*p^63*q^1006+14294344*p^61*q^1008+1732988*p^59 *q^1010+36196*p^57*q^1012+12*p^55*q^1014+904*p^102*q^966+5306*p^100*q^968+ 223704*p^98*q^970+8125428*p^96*q^972+124065002*p^94*q^974+1849574682*p^92*q^976 +22421808888*p^90*q^978+233264736825*p^88*q^980+2104651173574*p^86*q^982+ 16450312996582*p^84*q^984+104047546262298*p^82*q^986+410559569178816*p^80*q^988 +677817431624742*p^78*q^990+368164716183933*p^76*q^992+82718979520082*p^74*q^ 994+11568462429672*p^72*q^996+1333028251462*p^70*q^998+134979716485*p^68*q^1000 +12593586660*p^66*q^1002+960121304*p^64*q^1004+94612142*p^62*q^1006+1957068*p^ 60*q^1008+680596*p^58*q^1010+1272*p^56*q^1012+12752*p^101*q^966+18340*p^99*q^ 968+1232192*p^97*q^970+31610280*p^95*q^972+463153372*p^93*q^974+6209371008*p^91 *q^976+69951950884*p^89*q^978+676287410904*p^87*q^980+5710600788275*p^85*q^982+ 40957834233046*p^83*q^984+216784589782626*p^81*q^986+592475723750844*p^79*q^988 +578598352728970*p^77*q^990+196014022381390*p^75*q^992+33567938078575*p^73*q^ 994+4196432694222*p^71*q^996+454555992051*p^69*q^998+43502593356*p^67*q^1000+ 3850353433*p^65*q^1002+334074876*p^63*q^1004+18675510*p^61*q^1006+1032892*p^59* q^1008+98554*p^57*q^1010+152*p^55*q^1012+124*p^102*q^964+36876*p^100*q^966+ 266820*p^98*q^968+6946354*p^96*q^970+109230016*p^94*q^972+1648689010*p^92*q^974 +19985564980*p^90*q^976+209739343972*p^88*q^978+1895347918234*p^86*q^980+ 14946973846230*p^84*q^982+95320819565845*p^82*q^984+389353295864704*p^80*q^986+ 671968964925246*p^78*q^988+386552498543418*p^76*q^990+89405770171526*p^74*q^992 +12755288269676*p^72*q^994+1476777422439*p^70*q^996+151112902892*p^68*q^998+ 14040469371*p^66*q^1000+1088474756*p^64*q^1002+112057126*p^62*q^1004+2649972*p^ 60*q^1006+839992*p^58*q^1008+2292*p^56*q^1010+7276*p^101*q^964+15102*p^99*q^966 +972648*p^97*q^968+27692622*p^95*q^970+411856000*p^93*q^972+5527165424*p^91*q^ 974+62569542124*p^89*q^976+608913551326*p^87*q^978+5153052479066*p^85*q^980+ 37379285171615*p^83*q^982+200818541426056*p^81*q^984+574356635340687*p^79*q^986 +588816110250708*p^77*q^988+209691262263556*p^75*q^990+36627379967386*p^73*q^ 992+4644616411787*p^71*q^994+505182508062*p^69*q^996+48641387114*p^67*q^998+ 4393630830*p^65*q^1000+344330848*p^63*q^1002+24741402*p^61*q^1004+540912*p^59*q ^1006+147752*p^57*q^1008+24*p^55*q^1010+52604*p^100*q^964+164516*p^98*q^966+ 5477868*p^96*q^968+98474446*p^94*q^970+1453391992*p^92*q^972+17853597868*p^90*q ^974+187922664330*p^88*q^976+1711346961662*p^86*q^978+13522276297665*p^84*q^980 +87628801311118*p^82*q^982+366594918593910*p^80*q^984+668221335743960*p^78*q^ 986+402837864851446*p^76*q^988+96966052773878*p^74*q^990+14002302976340*p^72*q^ 992+1640164464964*p^70*q^994+168521895187*p^68*q^996+15658814770*p^66*q^998+ 1232913939*p^64*q^1000+129711950*p^62*q^1002+3789070*p^60*q^1004+706464*p^58*q^ 1006+11262*p^56*q^1008+4*p^54*q^1010+2992*p^101*q^962+49262*p^99*q^964+1039836* p^97*q^966+25338520*p^95*q^968+360845694*p^93*q^970+4922197564*p^91*q^972+ 55972625035*p^89*q^974+546938963084*p^87*q^976+4662677193547*p^85*q^978+ 33956435325758*p^83*q^980+186710167533100*p^81*q^982+552450210514000*p^79*q^984 +600971707051841*p^77*q^986+222828703337144*p^75*q^988+40089195575944*p^73*q^ 990+5120873548168*p^71*q^992+562422375517*p^69*q^994+54403282712*p^67*q^996+ 4975594734*p^65*q^998+366540580*p^63*q^1000+32140698*p^61*q^1002+420176*p^59*q^ 1004+241828*p^57*q^1006+44*p^55*q^1008+48*p^102*q^960+38380*p^100*q^962+104210* p^98*q^964+4282138*p^96*q^966+86028872*p^94*q^968+1289194660*p^92*q^970+ 15922784747*p^90*q^972+168784511210*p^88*q^974+1540774939089*p^86*q^976+ 12276574698046*p^84*q^978+80139587896772*p^82*q^980+346399931460762*p^80*q^982+ 658920310637165*p^78*q^984+421016341736246*p^76*q^986+104546277459223*p^74*q^ 988+15417701580922*p^72*q^990+1814149866445*p^70*q^992+188137903336*p^68*q^994+ 17367832216*p^66*q^996+1421198104*p^64*q^998+138199178*p^62*q^1000+5071974*p^60 *q^1002+358436*p^58*q^1004+22052*p^56*q^1006+168*p^101*q^960+123906*p^99*q^962+ 900978*p^97*q^964+21280444*p^95*q^966+318912764*p^93*q^968+4380389406*p^91*q^ 970+49991122128*p^89*q^972+492437054143*p^87*q^974+4206869388044*p^85*q^976+ 30960880630904*p^83*q^978+172497896134400*p^81*q^980+533083773273412*p^79*q^982 +608250549964074*p^77*q^984+237518093416648*p^75*q^986+43674419459456*p^73*q^ 988+5663096148329*p^71*q^990+625051628618*p^69*q^992+61063936507*p^67*q^994+ 5607840950*p^65*q^996+394002184*p^63*q^998+41596288*p^61*q^1000+653980*p^59*q^ 1002+328540*p^57*q^1004+660*p^55*q^1006+26878*p^100*q^960+99706*p^98*q^962+ 3793912*p^96*q^964+80682344*p^94*q^966+1148146172*p^92*q^968+14231295578*p^90*q ^970+151387845422*p^88*q^972+1390302087000*p^86*q^974+11101874766375*p^84*q^976 +73537318908832*p^82*q^978+324901570977028*p^80*q^980+651881438604702*p^78*q^ 982+436710022459911*p^76*q^984+113097543526516*p^74*q^986+16907830848485*p^72*q ^988+2013552739034*p^70*q^990+209545096996*p^68*q^992+19366956130*p^66*q^994+ 1648791049*p^64*q^996+144362402*p^62*q^998+7221386*p^60*q^1000+141898*p^58*q^ 1002+37484*p^56*q^1004+880*p^101*q^958+133152*p^99*q^960+635130*p^97*q^962+ 17679502*p^95*q^964+274558110*p^93*q^966+3872371296*p^91*q^968+44679707950*p^89 *q^970+441632973176*p^87*q^972+3804205580770*p^85*q^974+28102452582638*p^83*q^ 976+159952545022060*p^81*q^978+510331093008016*p^79*q^980+617688292908819*p^77* q^982+251431509976048*p^75*q^984+47713411446550*p^73*q^986+6237766574552*p^71*q ^988+694994237703*p^69*q^990+68295417556*p^67*q^992+6252243701*p^65*q^994+ 433236816*p^63*q^996+50178720*p^61*q^998+823298*p^59*q^1000+240644*p^57*q^1002+ 2508*p^55*q^1004+5608*p^100*q^958+202352*p^98*q^960+3619538*p^96*q^962+71118560 *p^94*q^964+1017138924*p^92*q^966+12712294147*p^90*q^968+135841705986*p^88*q^ 970+1251920027389*p^86*q^972+10073304091186*p^84*q^974+67169063677393*p^82*q^ 976+305868849046614*p^80*q^978+639352314087541*p^78*q^980+454376112755074*p^76* q^982+121589965549715*p^74*q^984+18594387567672*p^72*q^986+2225577397394*p^70*q ^988+233871882072*p^68*q^990+21584166553*p^66*q^992+1906356948*p^64*q^994+ 147388012*p^62*q^996+9884534*p^60*q^998+100728*p^58*q^1000+90312*p^56*q^1002+12 *p^54*q^1004+80*p^101*q^956+130988*p^99*q^958+508832*p^97*q^960+14451370*p^95*q ^962+247954482*p^93*q^964+3465219092*p^91*q^966+39934311730*p^89*q^968+ 397867399792*p^87*q^970+3431007466680*p^85*q^972+25595823179619*p^83*q^974+ 147447283109474*p^81*q^976+490089133842367*p^79*q^978+621800190176576*p^77*q^ 980+267067130656258*p^75*q^982+51881629729356*p^73*q^984+6892848922632*p^71*q^ 986+772142852454*p^69*q^988+76595732416*p^67*q^990+6969467436*p^65*q^992+ 500344804*p^63*q^994+57069490*p^61*q^996+1339076*p^59*q^998+123824*p^57*q^1000+ 2540*p^55*q^1002+7372*p^100*q^956+311456*p^98*q^958+2962724*p^96*q^960+63176726 *p^94*q^962+891761622*p^92*q^964+11301652214*p^90*q^966+121594960488*p^88*q^968 +1128342509814*p^86*q^970+9102896566216*p^84*q^972+61533053018846*p^82*q^974+ 285949251843016*p^80*q^976+629146835738162*p^78*q^978+469034863331052*p^76*q^ 980+131197787906732*p^74*q^982+20362614177759*p^72*q^984+2467309814788*p^70*q^ 986+260026947798*p^68*q^988+24185874948*p^66*q^990+2173973062*p^64*q^992+ 146996618*p^62*q^994+13919826*p^60*q^996+110774*p^58*q^998+100794*p^56*q^1000+ 172*p^54*q^1002+59336*p^99*q^956+427542*p^97*q^958+12951044*p^95*q^960+ 221099168*p^93*q^962+3073494604*p^91*q^964+35747806605*p^89*q^966+356986095078* p^87*q^968+3102863232525*p^85*q^970+23215776067582*p^83*q^972+136392451869294*p ^81*q^974+467176506646426*p^79*q^976+628010628875856*p^77*q^978+281579568641810 *p^75*q^980+56580131773268*p^73*q^982+7583228243358*p^71*q^984+858274539807*p^ 69*q^986+85624800456*p^67*q^988+7697522858*p^65*q^990+584608596*p^63*q^992+ 61634680*p^61*q^994+1756014*p^59*q^996+34812*p^57*q^998+14100*p^55*q^1000+8*p^ 102*q^952+2488*p^100*q^954+396608*p^98*q^956+2567226*p^96*q^958+53589290*p^94*q ^960+783614852*p^92*q^962+10095916154*p^90*q^964+109051245516*p^88*q^966+ 1015422037106*p^86*q^968+8255221706908*p^84*q^970+56121692156119*p^82*q^972+ 268235877767390*p^80*q^974+613963697674137*p^78*q^976+485616107165332*p^76*q^ 978+140643553773183*p^74*q^980+22371535007406*p^72*q^982+2726109058470*p^70*q^ 984+290078805248*p^68*q^986+27110214973*p^66*q^988+2485670990*p^64*q^990+ 154910830*p^62*q^992+18075108*p^60*q^994+203130*p^58*q^996+81340*p^56*q^998+40* p^54*q^1000+42020*p^99*q^954+625994*p^97*q^956+11248596*p^95*q^958+199185834*p^ 93*q^960+2744440316*p^91*q^962+31911987878*p^89*q^964+321337281728*p^87*q^966+ 2796680161918*p^85*q^968+21130167694010*p^83*q^970+125441717188092*p^81*q^972+ 446624206330901*p^79*q^974+628955955970732*p^77*q^976+297889324165979*p^75*q^ 978+61386235545566*p^73*q^980+8371290414621*p^71*q^982+951658477006*p^69*q^984+ 95778191467*p^67*q^986+8532709158*p^65*q^988+685597198*p^63*q^990+61397184*p^61 *q^992+2770476*p^59*q^994+14316*p^57*q^996+24624*p^55*q^998+4*p^53*q^1000+4*p^ 102*q^950+260*p^100*q^952+309392*p^98*q^954+1830022*p^96*q^956+45908276*p^94*q^ 958+691385865*p^92*q^960+8981310406*p^90*q^962+97596131530*p^88*q^964+ 915026013146*p^86*q^966+7457391580040*p^84*q^968+51351913103024*p^82*q^970+ 249954107474180*p^80*q^972+600967844000328*p^78*q^974+498892931791882*p^76*q^ 976+151285109482156*p^74*q^978+24464782702119*p^72*q^980+3019989202698*p^70*q^ 982+322784358719*p^68*q^984+30523383442*p^66*q^986+2780295098*p^64*q^988+ 168620254*p^62*q^990+22432460*p^60*q^992+273328*p^58*q^994+33150*p^56*q^996+ 1068*p^54*q^998+154*p^101*q^950+28752*p^99*q^952+854968*p^97*q^954+10306638*p^ 95*q^956+178920485*p^93*q^958+2428588818*p^91*q^960+28569629404*p^89*q^962+ 288261051744*p^87*q^964+2528318110693*p^85*q^966+19147199151214*p^83*q^968+ 115805408480406*p^81*q^970+423846518153622*p^79*q^972+631792100295563*p^77*q^ 974+312865714739018*p^75*q^976+66811729397513*p^73*q^978+9201636340996*p^71*q^ 980+1057473260648*p^69*q^982+106729202730*p^67*q^984+9472149502*p^65*q^986+ 809544918*p^63*q^988+61113484*p^61*q^990+4146810*p^59*q^992+21904*p^57*q^994+ 30644*p^55*q^996+8*p^102*q^948+232*p^100*q^950+200084*p^98*q^952+1755594*p^96*q ^954+39491380*p^94*q^956+608936796*p^92*q^958+8009223094*p^90*q^960+87430323760 *p^88*q^962+823053457421*p^86*q^964+6757641780434*p^84*q^966+46772789679939*p^ 82*q^968+233759867539444*p^80*q^970+583477964779696*p^78*q^972+513954317017864* p^76*q^974+161697752903843*p^74*q^976+26836349050310*p^72*q^978+3332556690628*p ^70*q^980+359734588324*p^68*q^982+34286250964*p^66*q^984+3083017868*p^64*q^986+ 194016824*p^62*q^988+24501982*p^60*q^990+374446*p^58*q^992+4084*p^56*q^994+3588 *p^54*q^996+80*p^101*q^948+6018*p^99*q^950+962746*p^97*q^952+8301732*p^95*q^954 +155436976*p^93*q^956+2155956004*p^91*q^958+25499681358*p^89*q^960+259332068082 *p^87*q^962+2278440455054*p^85*q^964+17415665171966*p^83*q^966+106289233342086* p^81*q^968+403589313949037*p^79*q^970+629248271671914*p^77*q^972+ 329591132487487*p^75*q^974+72334140005892*p^73*q^976+10147292413216*p^71*q^978+ 1171876078442*p^69*q^980+119283428139*p^67*q^982+10574493922*p^65*q^984+ 953104791*p^63*q^986+57500716*p^61*q^988+6162454*p^59*q^990+44212*p^57*q^992+ 23292*p^55*q^994+20*p^53*q^996+1310*p^100*q^948+179828*p^98*q^950+1919432*p^96* q^952+35677752*p^94*q^954+552529324*p^92*q^956+7152886058*p^90*q^958+ 78320120677*p^88*q^960+741754926456*p^86*q^962+6103332402138*p^84*q^964+ 42741058131688*p^82*q^966+217135907578639*p^80*q^968+568313670889538*p^78*q^970 +525288007764672*p^76*q^972+173386870038114*p^74*q^974+29310699518261*p^72*q^ 976+3689100527696*p^70*q^978+400102428216*p^68*q^980+38544341474*p^66*q^982+ 3405201211*p^64*q^984+229146240*p^62*q^986+27195676*p^60*q^988+680392*p^58*q^ 990+1316*p^56*q^992+6088*p^54*q^994+152*p^101*q^946+4804*p^99*q^948+753364*p^97 *q^950+6867666*p^95*q^952+135252044*p^93*q^954+1881418012*p^91*q^956+ 22749900860*p^89*q^958+232242024426*p^87*q^960+2057364534570*p^85*q^962+ 15770536313128*p^83*q^964+97912484105233*p^81*q^966+381413702853936*p^79*q^968+ 628882912459212*p^77*q^970+344650298154536*p^75*q^972+78548960065178*p^73*q^974 +11141605030654*p^71*q^976+1300777397588*p^69*q^978+132728882640*p^67*q^980+ 11868707749*p^65*q^982+1081755520*p^63*q^984+57293720*p^61*q^986+7508360*p^59*q ^988+34052*p^57*q^990+3932*p^55*q^992+312*p^53*q^994+868*p^100*q^946+68927*p^98 *q^948+2219968*p^96*q^950+31329214*p^94*q^952+488508222*p^92*q^954+6393086801*p ^90*q^956+70217322492*p^88*q^958+667293508346*p^86*q^960+5529706570918*p^84*q^ 962+38897724265581*p^82*q^964+202470844936020*p^80*q^966+548994085513826*p^78*q ^968+538495228097206*p^76*q^970+184676092324988*p^74*q^972+32099538535470*p^72* q^974+4067789597133*p^70*q^976+445586633530*p^68*q^978+43199078205*p^66*q^980+ 3732390386*p^64*q^982+284338058*p^62*q^984+26033714*p^60*q^986+1202058*p^58*q^ 988+6028*p^56*q^990+9544*p^54*q^992+8*p^101*q^944+6922*p^99*q^946+739548*p^97*q ^948+6358564*p^95*q^950+118315028*p^93*q^952+1682131824*p^91*q^954+20325131632* p^89*q^956+208876157914*p^87*q^958+1853637461794*p^85*q^960+14331046198043*p^83 *q^962+89718704169242*p^81*q^964+361646546345892*p^79*q^966+622927526592790*p^ 77*q^968+361598142798417*p^75*q^970+84837118755136*p^73*q^972+12276958560630*p^ 71*q^974+1440418327960*p^69*q^976+148438855339*p^67*q^978+13383494788*p^65*q^ 980+1234894741*p^63*q^982+60931870*p^61*q^984+9730280*p^59*q^986+78272*p^57*q^ 988+28*p^55*q^990+552*p^53*q^992+1336*p^100*q^944+47928*p^98*q^946+2156176*p^96 *q^948+26383480*p^94*q^950+435750302*p^92*q^952+5667147196*p^90*q^954+ 62764122025*p^88*q^956+600833145066*p^86*q^958+4990275792599*p^84*q^960+ 35498905094314*p^82*q^962+187580224848093*p^80*q^964+532078414627148*p^78*q^966 +547510551578012*p^76*q^968+197407089245632*p^74*q^970+34996345084537*p^72*q^ 972+4497370195198*p^70*q^974+495209017472*p^68*q^976+48302289868*p^66*q^978+ 4111051017*p^64*q^980+338462978*p^62*q^982+23367638*p^60*q^984+1714038*p^58*q^ 986+3484*p^56*q^988+3128*p^54*q^990+12*p^52*q^992+6692*p^99*q^944+456498*p^97*q ^946+5771248*p^95*q^948+105116300*p^93*q^950+1483477628*p^91*q^952+18163201714* p^89*q^954+187181524732*p^87*q^956+1673891611348*p^85*q^958+12972005000530*p^83 *q^960+82495460701649*p^81*q^962+340542686746020*p^79*q^964+619144084394401*p^ 77*q^966+376390742988430*p^75*q^968+91917076124083*p^73*q^970+13463228565866*p^ 71*q^972+1597725042812*p^69*q^974+165111752270*p^67*q^976+15136597701*p^65*q^ 978+1362153218*p^63*q^980+72389957*p^61*q^982+11178104*p^59*q^984+158784*p^57*q ^986+476*p^55*q^988+2148*p^53*q^990+408*p^100*q^942+34600*p^98*q^944+2236184*p^ 96*q^946+23951192*p^94*q^948+383623160*p^92*q^950+5039815374*p^90*q^952+ 56268109218*p^88*q^954+540105996964*p^86*q^956+4519413062594*p^84*q^958+ 32270725351873*p^82*q^960+174397623606662*p^80*q^962+511613827418727*p^78*q^964 +558325707324916*p^76*q^966+209524719947565*p^74*q^968+38275499297740*p^72*q^ 970+4955546395072*p^70*q^972+551417893404*p^68*q^974+54014938518*p^66*q^976+ 4555904366*p^64*q^978+407294477*p^62*q^980+20848998*p^60*q^982+2404032*p^58*q^ 984+5432*p^56*q^986+16*p^52*q^990+8*p^101*q^940+7568*p^99*q^942+303844*p^97*q^ 944+5656568*p^95*q^946+90804072*p^93*q^948+1325839764*p^91*q^950+16233420020*p^ 89*q^952+168149949873*p^87*q^954+1507406892222*p^85*q^956+11780666938897*p^83*q ^958+75459253436614*p^81*q^960+321638495137058*p^79*q^962+610184026354704*p^77* q^964+393092983663819*p^75*q^966+99008593720258*p^73*q^968+14817620901156*p^71* q^970+1766801582106*p^69*q^972+184434979115*p^67*q^974+17060149520*p^65*q^976+ 1501905864*p^63*q^978+89459328*p^61*q^980+11017758*p^59*q^982+296114*p^57*q^984 +564*p^55*q^986+1508*p^53*q^988+24*p^100*q^940+38118*p^98*q^942+1911221*p^96*q^ 944+20115254*p^94*q^946+338939260*p^92*q^948+4462710754*p^90*q^950+50252497397* p^88*q^952+486246276000*p^86*q^954+4076950642446*p^84*q^956+29428827373344*p^82 *q^958+161156058026416*p^80*q^960+493427425068964*p^78*q^962+564790916371054*p^ 76*q^964+223135658293726*p^74*q^966+41653968509556*p^72*q^968+5475396109078*p^ 70*q^970+612224065905*p^68*q^972+60320886396*p^66*q^974+5107456817*p^64*q^976+ 472130254*p^62*q^978+19200003*p^60*q^980+3544796*p^58*q^982+13960*p^56*q^984+12 *p^54*q^986+232*p^52*q^988+5424*p^99*q^940+210236*p^97*q^942+5731528*p^95*q^944 +82737856*p^93*q^946+1182715488*p^91*q^948+14513521601*p^89*q^950+150774980684* p^87*q^952+1360813466463*p^85*q^954+10657045389376*p^83*q^956+69277100398797*p^ 81*q^958+301723599456336*p^79*q^960+603201155465728*p^77*q^962+407377022850132* p^75*q^964+106998834542817*p^73*q^966+16230882965478*p^71*q^968+1958405933308*p ^69*q^970+205406180178*p^67*q^972+19257819010*p^65*q^974+1622760392*p^63*q^976+ 113273028*p^61*q^978+10309202*p^59*q^980+406616*p^57*q^982+144*p^55*q^984+200*p ^100*q^938+34634*p^98*q^940+1397078*p^96*q^942+17774968*p^94*q^944+294317346*p^ 92*q^946+3945040665*p^90*q^948+44982788586*p^88*q^950+436586795522*p^86*q^952+ 3689356779028*p^84*q^954+26721573425112*p^82*q^956+149475311576624*p^80*q^958+ 472235030644898*p^78*q^960+572917241721004*p^76*q^962+236003671159229*p^74*q^ 964+45467517264366*p^72*q^966+6026337244884*p^70*q^968+680900841446*p^68*q^970+ 67186599956*p^66*q^972+5748847650*p^64*q^974+541281110*p^62*q^976+20985024*p^60 *q^978+4065680*p^58*q^980+35298*p^56*q^982+68*p^54*q^984+424*p^52*q^986+952*p^ 99*q^938+174802*p^97*q^940+5758130*p^95*q^942+71918936*p^93*q^944+1053867232*p^ 91*q^946+12961646420*p^89*q^948+135422315591*p^87*q^950+1225650490386*p^85*q^ 952+9674287243516*p^83*q^954+63277759350088*p^81*q^956+284011140104121*p^79*q^ 958+591298463291428*p^77*q^960+423414024923674*p^75*q^962+114948755845778*p^73* q^964+17841975516565*p^71*q^966+2163877378976*p^69*q^968+229489028064*p^67*q^ 970+21648446480*p^65*q^972+1773829523*p^63*q^974+140893524*p^61*q^976+8066424*p ^59*q^978+771094*p^57*q^980+880*p^55*q^982+8*p^51*q^986+16*p^100*q^936+36476*p^ 98*q^938+1133492*p^96*q^940+16187584*p^94*q^942+264449048*p^92*q^944+3523794876 *p^90*q^946+40234723879*p^88*q^948+393053361322*p^86*q^950+3327447986620*p^84*q ^952+24343361304066*p^82*q^954+137768904720875*p^80*q^956+453429300688684*p^78* q^958+576395597217058*p^76*q^960+250407387089082*p^74*q^962+49397949439973*p^72 *q^964+6652691956418*p^70*q^966+755378187144*p^68*q^968+75079523572*p^66*q^970+ 6537869678*p^64*q^972+604621934*p^62*q^974+25979284*p^60*q^976+4739894*p^58*q^ 978+53868*p^56*q^980+2192*p^99*q^936+156534*p^97*q^938+4870890*p^95*q^940+ 62287446*p^93*q^942+925476464*p^91*q^944+11496415832*p^89*q^946+121198794504*p^ 87*q^948+1104991318743*p^85*q^950+8746281310344*p^83*q^952+57998091418502*p^81* q^954+265499443780480*p^79*q^956+581605744384164*p^77*q^958+436701348013596*p^ 75*q^960+123865456190636*p^73*q^962+19519380379160*p^71*q^964+2396391975177*p^ 69*q^966+255334265974*p^67*q^968+24209105867*p^65*q^970+1929826332*p^63*q^972+ 169426198*p^61*q^974+6486008*p^59*q^976+1029826*p^57*q^978+2262*p^55*q^980+4*p^ 53*q^982+64*p^51*q^984+14420*p^98*q^936+769358*p^96*q^938+15635807*p^94*q^940+ 235124286*p^92*q^942+3134889834*p^90*q^944+36105985154*p^88*q^946+353026088214* p^86*q^948+3011320676620*p^84*q^950+22093622798741*p^82*q^952+127488208294032*p ^80*q^954+431980846133517*p^78*q^956+581706913947752*p^76*q^958+263749464070425 *p^74*q^960+53817990497316*p^72*q^962+7315483959600*p^70*q^964+838972007462*p^ 68*q^966+83726175037*p^66*q^968+7456480396*p^64*q^970+657394134*p^62*q^972+ 34865562*p^60*q^974+4214214*p^58*q^976+109530*p^56*q^978+32*p^54*q^980+608*p^99 *q^934+161976*p^97*q^936+4516564*p^95*q^938+54650138*p^93*q^940+821598203*p^91* q^942+10257798498*p^89*q^944+108755376685*p^87*q^946+994932577130*p^85*q^948+ 7932273979995*p^83*q^950+52909533161478*p^81*q^952+249031410181380*p^79*q^954+ 567128725091712*p^77*q^956+451799252983341*p^75*q^958+132689862206938*p^73*q^ 960+21427926951642*p^71*q^962+2646302841178*p^69*q^964+285412831282*p^67*q^966+ 27086175834*p^65*q^968+2144840658*p^63*q^970+207014838*p^61*q^972+5704054*p^59* q^974+1534544*p^57*q^976+6436*p^55*q^978+15292*p^98*q^934+703726*p^96*q^936+ 14249678*p^94*q^938+207212384*p^92*q^940+2795041546*p^90*q^942+32219944615*p^88 *q^944+317671335806*p^86*q^946+2713897891718*p^84*q^948+20109264126228*p^82*q^ 950+117271385358828*p^80*q^952+412926477997684*p^78*q^954+582080563876198*p^76* q^956+278811842861210*p^74*q^958+58332233190149*p^72*q^960+8067771964482*p^70*q ^962+929464358817*p^68*q^964+93464277206*p^66*q^966+8443795746*p^64*q^968+ 707741674*p^62*q^970+43048506*p^60*q^972+3430036*p^58*q^974+178170*p^56*q^976+ 52*p^54*q^978+4*p^50*q^982+80*p^99*q^932+110438*p^97*q^934+3305262*p^95*q^936+ 48073478*p^93*q^938+729243130*p^91*q^940+9103632015*p^89*q^942+97403870670*p^87 *q^944+896748787393*p^85*q^946+7169647434182*p^83*q^948+48423874388154*p^81*q^ 950+232107827138966*p^79*q^952+554916300120015*p^77*q^954+463626334599668*p^75* q^956+142577739734515*p^73*q^958+23411229545782*p^71*q^960+2928069945568*p^69*q ^962+317297856030*p^67*q^964+30243068744*p^65*q^966+2421652772*p^63*q^968+ 235340619*p^61*q^970+7285566*p^59*q^972+1721788*p^57*q^974+9800*p^55*q^976+8*p^ 100*q^930+9202*p^98*q^932+617520*p^96*q^934+13933348*p^94*q^936+184526328*p^92* q^938+2481277388*p^90*q^940+28887251416*p^88*q^942+285148322389*p^86*q^944+ 2455480205652*p^84*q^946+18234653960370*p^82*q^948+108272663649182*p^80*q^950+ 391803206947991*p^78*q^952+584245955505350*p^76*q^954+292468239888531*p^74*q^ 956+63438293100616*p^72*q^958+8861807624610*p^70*q^960+1031979946706*p^68*q^962 +104476128873*p^66*q^964+9559483400*p^64*q^966+750456680*p^62*q^968+58091980*p^ 60*q^970+2287942*p^58*q^972+323110*p^56*q^974+520*p^54*q^976+56*p^99*q^930+ 84620*p^97*q^932+2871764*p^95*q^934+42799872*p^93*q^936+645406028*p^91*q^938+ 8122388336*p^89*q^940+87362838361*p^87*q^942+806904655878*p^85*q^944+ 6499273300175*p^83*q^946+44117394249132*p^81*q^948+216999678405253*p^79*q^950+ 538490011312144*p^77*q^952+477260559257840*p^75*q^954+152233685883052*p^73*q^ 956+25664813288533*p^71*q^958+3229975974672*p^69*q^960+353737145187*p^67*q^962+ 33656684920*p^65*q^964+2769526631*p^63*q^966+265883906*p^61*q^968+8915458*p^59* q^970+1684900*p^57*q^972+21384*p^55*q^974+2056*p^98*q^930+534654*p^96*q^932+ 12005548*p^94*q^934+160379164*p^92*q^936+2211051644*p^90*q^938+25729049802*p^88 *q^940+256419287818*p^86*q^942+2212243611445*p^84*q^944+16586817505716*p^82*q^ 946+99398532434708*p^80*q^948+372913026617664*p^78*q^950+581626330568510*p^76*q ^952+307841262453012*p^74*q^954+68604646308424*p^72*q^956+9765551681706*p^70*q^ 958+1142330557124*p^68*q^960+117000716090*p^66*q^962+10770431218*p^64*q^964+ 805976586*p^62*q^966+71946344*p^60*q^968+1662622*p^58*q^970+496246*p^56*q^972+ 728*p^54*q^974+152*p^99*q^928+76236*p^97*q^930+2421688*p^95*q^932+39664450*p^93 *q^934+579716624*p^91*q^936+7237764547*p^89*q^938+78309053588*p^87*q^940+ 727452913270*p^85*q^942+5871559085876*p^83*q^944+40336273910796*p^81*q^946+ 201622292325340*p^79*q^948+524181488136046*p^77*q^950+487375308709116*p^75*q^ 952+163063214649268*p^73*q^954+27996380629920*p^71*q^956+3571212428699*p^69*q^ 958+392830727968*p^67*q^960+37524543189*p^65*q^962+3172333882*p^63*q^964+ 288278890*p^61*q^966+12643954*p^59*q^968+1442788*p^57*q^970+40804*p^55*q^972+12 *p^53*q^974+1668*p^98*q^928+401492*p^96*q^930+10311862*p^94*q^932+140656040*p^ 92*q^934+1949065354*p^90*q^936+22968892556*p^88*q^938+229922797390*p^86*q^940+ 1999330602740*p^84*q^942+15026870797685*p^82*q^944+91599085401308*p^80*q^946+ 352384233263063*p^78*q^948+580654720142178*p^76*q^950+321620004417080*p^74*q^ 952+74432058847876*p^72*q^954+10714412862980*p^70*q^956+1267489206846*p^68*q^ 958+130647655552*p^66*q^960+12071708986*p^64*q^962+880315380*p^62*q^964+ 87150666*p^60*q^966+1681396*p^58*q^968+545296*p^56*q^970+1628*p^54*q^972+16*p^ 99*q^926+27676*p^97*q^928+2056216*p^95*q^930+36815406*p^93*q^932+511657980*p^91 *q^934+6467986638*p^89*q^936+70290477485*p^87*q^938+654488107932*p^85*q^940+ 5321523003061*p^83*q^942+36709757547380*p^81*q^944+187997672823650*p^79*q^946+ 506130512443786*p^77*q^948+499114598718637*p^75*q^950+173546883078156*p^73*q^ 952+30640798101069*p^71*q^954+3935572020278*p^69*q^956+437340609734*p^67*q^958+ 41929914830*p^65*q^960+3649630668*p^63*q^962+304996652*p^61*q^964+17753467*p^59 *q^966+810050*p^57*q^968+102902*p^55*q^970+72*p^53*q^972+1384*p^98*q^926+412618 *p^96*q^928+9213990*p^94*q^930+123727830*p^92*q^932+1746586410*p^90*q^934+ 20486679149*p^88*q^936+206692320194*p^86*q^938+1801372711503*p^84*q^940+ 13658409101668*p^82*q^942+83925036660768*p^80*q^944+334097240590222*p^78*q^946+ 574877239192712*p^76*q^948+337058872157514*p^74*q^950+80320057728044*p^72*q^952 +11795856350716*p^70*q^954+1402108631745*p^68*q^956+146305517378*p^66*q^958+ 13451407656*p^64*q^960+994710300*p^62*q^962+102673964*p^60*q^964+2098110*p^58*q ^966+681466*p^56*q^968+2698*p^54*q^970+44*p^99*q^924+21901*p^97*q^926+1652056*p ^95*q^928+32611410*p^93*q^930+453588094*p^91*q^932+5741926853*p^89*q^934+ 62811332722*p^87*q^936+589425658727*p^85*q^938+4804075665724*p^83*q^940+ 33518778131103*p^81*q^942+174180366752912*p^79*q^944+490390962348015*p^77*q^946 +507050685808576*p^75*q^948+185264179152618*p^73*q^950+33371951282628*p^71*q^ 952+4346717630098*p^69*q^954+485005485638*p^67*q^956+46859030644*p^65*q^958+ 4162728766*p^63*q^960+311864996*p^61*q^962+22891290*p^59*q^964+479992*p^57*q^ 966+112564*p^55*q^968+60*p^53*q^970+620*p^98*q^924+231452*p^96*q^926+7523922*p^ 94*q^928+110682334*p^92*q^930+1546374916*p^90*q^932+18306015142*p^88*q^934+ 185525861757*p^86*q^936+1627674116148*p^84*q^938+12371330661287*p^82*q^940+ 77206455789006*p^80*q^942+314475711318100*p^78*q^944+570989196318722*p^76*q^946 +350506647275951*p^74*q^948+86922981474174*p^72*q^950+12928020644012*p^70*q^952 +1554282547308*p^68*q^954+163142714958*p^66*q^956+14989470992*p^64*q^958+ 1138050490*p^62*q^960+117096738*p^60*q^962+3474403*p^58*q^964+504024*p^56*q^966 +14420*p^54*q^968+4*p^52*q^970+28*p^99*q^922+11484*p^97*q^924+1653362*p^95*q^ 926+30905584*p^93*q^928+401449581*p^91*q^930+5133351456*p^89*q^932+56344692556* p^87*q^934+530012641442*p^85*q^936+4351854017187*p^83*q^938+30478100455588*p^81 *q^940+161941678556879*p^79*q^942+471195390079740*p^77*q^944+516680144865795*p^ 75*q^946+196474369197170*p^73*q^948+36469095825313*p^71*q^950+4787498596072*p^ 69*q^952+539799449473*p^67*q^954+52596702484*p^65*q^956+4733684158*p^63*q^958+ 330084082*p^61*q^960+29761852*p^59*q^962+310796*p^57*q^964+198460*p^55*q^966+72 *p^53*q^968+772*p^98*q^922+172035*p^96*q^924+6242374*p^94*q^926+97765542*p^92*q ^928+1378405240*p^90*q^930+16311225140*p^88*q^932+166620385054*p^86*q^934+ 1465654071751*p^84*q^936+11233393479658*p^82*q^938+70633386088067*p^80*q^940+ 297005768231770*p^78*q^942+562291753743436*p^76*q^944+365776103216086*p^74*q^ 946+93541457015099*p^72*q^948+14212503705868*p^70*q^950+1717143494568*p^68*q^ 952+182139132764*p^66*q^954+16615567685*p^64*q^956+1325013450*p^62*q^958+ 123831502*p^60*q^960+4648920*p^58*q^962+298242*p^56*q^964+17372*p^54*q^966+8060 *p^97*q^922+1279728*p^95*q^924+26254156*p^93*q^926+352047548*p^91*q^928+ 4554678051*p^89*q^930+50317084180*p^87*q^932+477291723316*p^85*q^934+ 3927423626440*p^83*q^936+27802901480119*p^81*q^938+149692745662420*p^79*q^940+ 454354861929361*p^77*q^942+522102636123904*p^75*q^944+209023459819984*p^73*q^ 946+39644238031414*p^71*q^948+5284070581683*p^69*q^950+598464761846*p^67*q^952+ 58990549014*p^65*q^954+5329082640*p^63*q^956+351519196*p^61*q^958+37261588*p^59 *q^960+523530*p^57*q^962+216164*p^55*q^964+1092*p^53*q^966+540*p^98*q^920+ 103640*p^96*q^922+5633009*p^94*q^924+92792938*p^92*q^926+1232895438*p^90*q^928+ 14619612802*p^88*q^930+149571751658*p^86*q^932+1324010516340*p^84*q^934+ 10169871556167*p^82*q^936+64857771273200*p^80*q^938+278609634421295*p^78*q^940+ 555459536389152*p^76*q^942+378596743978321*p^74*q^944+100995030962450*p^72*q^ 946+15558636956531*p^70*q^948+1902276422400*p^68*q^950+202682697242*p^66*q^952+ 18562135398*p^64*q^954+1539114885*p^62*q^956+128138216*p^60*q^958+6901282*p^58* q^960+110672*p^56*q^962+32896*p^54*q^964+2*p^101*q^916+28*p^99*q^918+7276*p^97* q^920+958956*p^95*q^922+22512494*p^93*q^924+305179658*p^91*q^926+4045801616*p^ 89*q^928+45001149188*p^87*q^930+428746925954*p^85*q^932+3555590545706*p^83*q^ 934+25251426534108*p^81*q^936+138813411220765*p^79*q^938+434662341623938*p^77*q ^940+529221140462181*p^75*q^942+220838062232428*p^73*q^944+43248493106696*p^71* q^946+5812986362022*p^69*q^948+665183204547*p^67*q^950+66246277564*p^65*q^952+ 5946767640*p^63*q^954+394753036*p^61*q^956+44642380*p^59*q^958+732296*p^57*q^ 960+170012*p^55*q^962+2570*p^53*q^964+88*p^98*q^918+64916*p^96*q^920+5154894*p^ 94*q^922+83361386*p^92*q^924+1096453200*p^90*q^926+13043576235*p^88*q^928+ 134348289422*p^86*q^930+1192068052270*p^84*q^932+9231689426780*p^82*q^934+ 59255224494381*p^80*q^936+262167252235408*p^78*q^938+544272860042302*p^76*q^940 +393172733275982*p^74*q^942+108372654150893*p^72*q^944+17086253262772*p^70*q^ 946+2099463073002*p^68*q^948+226072040838*p^66*q^950+20678335294*p^64*q^952+ 1788859028*p^62*q^954+128831392*p^60*q^956+9044320*p^58*q^958+61044*p^56*q^960+ 59264*p^54*q^962+28*p^52*q^964+8*p^101*q^914+8*p^99*q^916+6084*p^97*q^918+ 733444*p^95*q^920+18954960*p^93*q^922+275520800*p^91*q^924+3618349255*p^89*q^ 926+40221118400*p^87*q^928+386095617732*p^85*q^930+3207473476276*p^83*q^932+ 23016630220572*p^81*q^934+127989793781630*p^79*q^936+417155994621137*p^77*q^938 +532041750351174*p^75*q^940+234061003970352*p^73*q^942+46926003070186*p^71*q^ 944+6411610037911*p^69*q^946+737319251922*p^67*q^948+74263691037*p^65*q^950+ 6615991090*p^63*q^952+455711338*p^61*q^954+49414370*p^59*q^956+1253012*p^57*q^ 958+92130*p^55*q^960+2564*p^53*q^962+28*p^100*q^914+456*p^98*q^916+55788*p^96*q ^918+4120043*p^94*q^920+74330874*p^92*q^922+962095132*p^90*q^924+11605099270*p^ 88*q^926+120341896063*p^86*q^928+1075750248312*p^84*q^930+8350335367048*p^82*q^ 932+54335285699824*p^80*q^934+245089545740108*p^78*q^936+534851296348336*p^76*q ^938+405123548135259*p^74*q^940+116666203244006*p^72*q^942+18675830739073*p^70* q^944+2323544879208*p^68*q^946+251046956961*p^66*q^948+23213472720*p^64*q^950+ 2043462094*p^62*q^952+128940432*p^60*q^954+12525726*p^58*q^956+95060*p^56*q^958 +59418*p^54*q^960+294*p^52*q^962+2012*p^97*q^916+434006*p^95*q^918+17366334*p^ 93*q^920+249929354*p^91*q^922+3229005240*p^89*q^924+36105082211*p^87*q^926+ 347024834506*p^85*q^928+2903370427493*p^83*q^930+20890373985034*p^81*q^932+ 118443628887238*p^79*q^934+397288220445300*p^77*q^936+536366503361524*p^75*q^ 938+246350931606400*p^73*q^940+51086788124862*p^71*q^942+7046426570314*p^69*q^ 944+818984867720*p^67*q^946+83188142696*p^65*q^948+7328796980*p^63*q^950+ 539454452*p^61*q^952+52896116*p^59*q^954+1737266*p^57*q^956+15988*p^55*q^958+ 10346*p^53*q^960+136*p^100*q^912+208*p^98*q^914+47844*p^96*q^916+3667480*p^94*q ^918+64520817*p^92*q^920+848613472*p^90*q^922+10363251920*p^88*q^924+ 107880647648*p^86*q^926+968198807787*p^84*q^928+7575165236032*p^82*q^930+ 49563334870068*p^80*q^932+229888687853440*p^78*q^934+521320902143092*p^76*q^936 +418698840398672*p^74*q^938+124852803537364*p^72*q^940+20485055534898*p^70*q^ 942+2563079591993*p^68*q^944+279892202284*p^66*q^946+26131842616*p^64*q^948+ 2333190738*p^62*q^950+136407770*p^60*q^952+15748950*p^58*q^954+164622*p^56*q^ 956+56084*p^54*q^958+48*p^52*q^960+158*p^99*q^912+3646*p^97*q^914+370234*p^95*q ^916+14716394*p^93*q^918+225156576*p^91*q^920+2877709520*p^89*q^922+32197824638 *p^87*q^924+312339890495*p^85*q^926+2617897777598*p^83*q^928+19021704837266*p^ 81*q^930+108966533028122*p^79*q^932+379711775035623*p^77*q^934+536332943831426* p^75*q^936+260052784133104*p^73*q^938+55318834546706*p^71*q^940+7761805898485*p ^69*q^942+906129152168*p^67*q^944+92911825872*p^65*q^946+8068266898*p^63*q^948+ 632499878*p^61*q^950+51826856*p^59*q^952+2542790*p^57*q^954+10288*p^55*q^956+ 12164*p^53*q^958+16*p^51*q^960+8*p^100*q^910+40*p^98*q^912+23152*p^96*q^914+ 2464456*p^94*q^916+56072338*p^92*q^918+754119694*p^90*q^920+9235733326*p^88*q^ 922+96688995179*p^86*q^924+873498659918*p^84*q^926+6850470974257*p^82*q^928+ 45389871165752*p^80*q^930+214214918581922*p^78*q^932+509787639047776*p^76*q^934 +429231544995884*p^74*q^936+134002032258284*p^72*q^938+22362564091102*p^70*q^ 940+2834939770090*p^68*q^942+310968535395*p^66*q^944+29495080346*p^64*q^946+ 2623856286*p^62*q^948+151759154*p^60*q^950+18739496*p^58*q^952+290604*p^56*q^ 954+15038*p^54*q^956+1032*p^52*q^958+1016*p^99*q^910+2968*p^97*q^912+295538*p^ 95*q^914+13800892*p^93*q^916+204983272*p^91*q^918+2560037868*p^89*q^920+ 28890795027*p^87*q^922+280550224928*p^85*q^924+2368457115185*p^83*q^926+ 17254391631102*p^81*q^928+100612066319903*p^79*q^930+360067431193754*p^77*q^932 +537936692990971*p^75*q^934+272563902417742*p^73*q^936+60097654612503*p^71*q^ 938+8522940644326*p^69*q^940+1005675621734*p^67*q^942+103728132548*p^65*q^944+ 9006400799*p^63*q^946+748942296*p^61*q^948+51356580*p^59*q^950+3896298*p^57*q^ 952+14064*p^55*q^954+19858*p^53*q^956+8*p^100*q^908+476*p^98*q^910+22268*p^96*q ^912+2035040*p^94*q^914+48680660*p^92*q^916+669161362*p^90*q^918+8237080148*p^ 88*q^920+86623792580*p^86*q^922+785798798175*p^84*q^924+6209740104120*p^82*q^ 926+41357368339288*p^80*q^928+200283645641746*p^78*q^930+494365213677850*p^76*q ^932+441518564139780*p^74*q^934+142940836572361*p^72*q^936+24490497691430*p^70* q^938+3124105646915*p^68*q^940+346356515418*p^66*q^942+33193655329*p^64*q^944+ 2894909440*p^62*q^946+176433640*p^60*q^948+20148118*p^58*q^950+356094*p^56*q^ 952+1224*p^54*q^954+1552*p^52*q^956+340*p^99*q^908+958*p^97*q^910+188426*p^95*q ^912+10985576*p^93*q^914+178733494*p^91*q^916+2273363204*p^89*q^918+25750040268 *p^87*q^920+252315226722*p^85*q^922+2134828892616*p^83*q^924+15698767064373*p^ 81*q^926+92402518266938*p^79*q^928+342687328250277*p^77*q^930+534989952913598*p ^75*q^932+286598179713225*p^73*q^934+64915733822068*p^71*q^936+9379860053230*p^ 69*q^938+1111878267876*p^67*q^940+115650134930*p^65*q^942+10060263310*p^63*q^ 944+881887632*p^61*q^946+48597814*p^59*q^948+5174388*p^57*q^950+42408*p^55*q^ 952+10304*p^53*q^954+40*p^51*q^956+4348*p^98*q^908+25180*p^96*q^910+1599172*p^ 94*q^912+44174452*p^92*q^914+609863628*p^90*q^916+7363396280*p^88*q^918+ 77730968034*p^86*q^920+709082852888*p^84*q^922+5613749516029*p^82*q^924+ 37823015885114*p^80*q^926+186113013000038*p^78*q^928+480960679133128*p^76*q^930 +450317545630237*p^74*q^932+152955237843936*p^72*q^934+26696654282061*p^70*q^ 936+3452292437474*p^68*q^938+384633432519*p^66*q^940+37418526890*p^64*q^942+ 3188425360*p^62*q^944+208780060*p^60*q^946+21893988*p^58*q^948+715736*p^56*q^ 950+704*p^54*q^952+3836*p^52*q^954+144*p^99*q^906+1302*p^97*q^908+131706*p^95*q ^910+9090824*p^93*q^912+157608332*p^91*q^914+2004029012*p^89*q^916+23036394210* p^87*q^918+226166684340*p^85*q^920+1930026609403*p^83*q^922+14226605524178*p^81 *q^924+85139943171362*p^79*q^926+323725358486398*p^77*q^928+533709176709735*p^ 75*q^930+299086123450958*p^73*q^932+70381473707514*p^71*q^934+10285151718204*p^ 69*q^936+1232982635427*p^67*q^938+128869706880*p^65*q^940+11349985126*p^63*q^ 942+1008553308*p^61*q^944+50706346*p^59*q^946+6146288*p^57*q^948+36640*p^55*q^ 950+680*p^53*q^952+144*p^51*q^954+3760*p^98*q^906+11844*p^96*q^908+1167938*p^94 *q^910+39179794*p^92*q^912+543244024*p^90*q^914+6580989836*p^88*q^916+ 69676286176*p^86*q^918+638030434900*p^84*q^920+5087352562184*p^82*q^922+ 34429640302858*p^80*q^924+173492817688738*p^78*q^926+464240745727847*p^76*q^928 +460806395690740*p^74*q^930+162595838478626*p^72*q^932+29191323217336*p^70*q^ 934+3801136760841*p^68*q^936+427931364416*p^66*q^938+41956736980*p^64*q^940+ 3498752910*p^62*q^942+258405182*p^60*q^944+20646586*p^58*q^946+1115848*p^56*q^ 948+4416*p^54*q^950+4198*p^52*q^952+32*p^99*q^904+12024*p^97*q^906+149862*p^95* q^908+7605363*p^93*q^910+137727826*p^91*q^912+1794118410*p^89*q^914+20538231966 *p^87*q^916+203393468825*p^85*q^918+1738812361242*p^83*q^920+12937243864592*p^ 81*q^922+78041061898316*p^79*q^924+306828979888010*p^77*q^926+528071273824664*p ^75*q^928+313107241338698*p^73*q^930+75843786818116*p^71*q^932+11311955601536*p ^69*q^934+1362168512936*p^67*q^936+143797070683*p^65*q^938+12833710514*p^63*q^ 940+1138643276*p^61*q^942+54119040*p^59*q^944+7537118*p^57*q^946+89164*p^55*q^ 948+16*p^53*q^950+346*p^51*q^952+1528*p^98*q^904+9136*p^96*q^906+796010*p^94*q^ 908+33302096*p^92*q^910+486721282*p^90*q^912+5853606936*p^88*q^914+62401297731* p^86*q^916+575003512324*p^84*q^918+4595873788531*p^82*q^920+31453705804710*p^80 *q^922+160770694649699*p^78*q^924+449443559380564*p^76*q^926+467688216032819*p^ 74*q^928+173391711510234*p^72*q^930+31761447705655*p^70*q^932+4195774187932*p^ 68*q^934+474591629778*p^66*q^936+46972565864*p^64*q^938+3848012985*p^62*q^940+ 310831806*p^60*q^942+18720658*p^58*q^944+1467576*p^56*q^946+4296*p^54*q^948+440 *p^52*q^950+8*p^50*q^952+19864*p^97*q^904+95886*p^95*q^906+5800614*p^93*q^908+ 123907892*p^91*q^910+1598213288*p^89*q^912+18393159607*p^87*q^914+182490121698* p^85*q^916+1572039886916*p^83*q^918+11717537855100*p^81*q^920+71799077010914*p^ 79*q^922+288743568085076*p^77*q^924+523951603801571*p^75*q^926+325343648633232* p^73*q^928+82012048655961*p^71*q^930+12389195424868*p^69*q^932+1509723782294*p^ 67*q^934+160160455114*p^65*q^936+14597792829*p^63*q^938+1263919450*p^61*q^940+ 65503662*p^59*q^942+8670908*p^57*q^944+183286*p^55*q^946+252*p^53*q^948+1012*p^ 51*q^950+872*p^98*q^902+26348*p^96*q^904+747058*p^94*q^906+30131651*p^92*q^908+ 430134322*p^90*q^910+5222137947*p^88*q^912+55926256590*p^86*q^914+516910150273* p^84*q^916+4162679697214*p^82*q^918+28597772286917*p^80*q^920+149486362855466*p ^78*q^922+431718215340881*p^76*q^924+476090628665828*p^74*q^926+183713490527747 *p^72*q^928+34675726767324*p^70*q^930+4616569351185*p^68*q^932+527630341646*p^ 66*q^934+52531972489*p^64*q^936+4284134994*p^62*q^938+370590642*p^60*q^940+ 17357914*p^58*q^942+1848032*p^56*q^944+6420*p^54*q^946+8*p^50*q^950+8*p^99*q^ 900+11902*p^97*q^902+74638*p^95*q^904+4382158*p^93*q^906+106991598*p^91*q^908+ 1431141614*p^89*q^910+16398744068*p^87*q^912+163911506915*p^85*q^914+ 1416112972476*p^83*q^916+10646077857387*p^81*q^918+65699386861174*p^79*q^920+ 272704843461193*p^77*q^922+515665295982944*p^75*q^924+339047771285634*p^73*q^ 926+88159551413518*p^71*q^928+13606681868227*p^69*q^930+1665359441624*p^67*q^ 932+178585904734*p^65*q^934+16461072854*p^63*q^936+1377820730*p^61*q^938+ 81081752*p^59*q^940+8082074*p^57*q^942+283364*p^55*q^944+648*p^53*q^946+156*p^ 51*q^948+48*p^98*q^900+62300*p^96*q^902+570834*p^94*q^904+24116494*p^92*q^906+ 381587547*p^90*q^908+4644419506*p^88*q^910+50011448194*p^86*q^912+465764117894* p^84*q^914+3759053400811*p^82*q^916+26101178133210*p^80*q^918+138166549794898*p ^78*q^920+416096291862872*p^76*q^922+480622644845669*p^74*q^924+195196794652568 *p^72*q^926+37664049304960*p^70*q^928+5091680059980*p^68*q^930+585007090174*p^ 66*q^932+58665770286*p^64*q^934+4828664069*p^62*q^936+430625008*p^60*q^938+ 16596444*p^58*q^940+2701166*p^56*q^942+21568*p^54*q^944+4*p^52*q^946+136*p^50*q ^948+9048*p^97*q^900+79602*p^95*q^902+3531032*p^93*q^904+99648273*p^91*q^906+ 1287285108*p^89*q^908+14711968379*p^87*q^910+147257488244*p^85*q^912+ 1279661817977*p^83*q^914+9640172818666*p^81*q^916+60340344705751*p^79*q^918+ 255686244387822*p^77*q^920+509056610863389*p^75*q^922+350630334291590*p^73*q^ 924+95083004572288*p^71*q^926+14887302549614*p^69*q^928+1844257427863*p^67*q^ 930+198796432742*p^65*q^932+18674377307*p^63*q^934+1495172728*p^61*q^936+ 103132488*p^59*q^938+7684064*p^57*q^940+356006*p^55*q^942+184*p^53*q^944+184*p^ 98*q^898+59644*p^96*q^900+460856*p^94*q^902+19918368*p^92*q^904+331397298*p^90* q^906+4126748568*p^88*q^908+44736551296*p^86*q^910+418011229095*p^84*q^912+ 3402216737882*p^82*q^914+23709733281319*p^80*q^916+128131224069986*p^78*q^918+ 397836825685969*p^76*q^920+486818401391108*p^74*q^922+206031129400426*p^72*q^ 924+41039438974668*p^70*q^926+5596422664202*p^68*q^928+649497073944*p^66*q^930+ 65462758364*p^64*q^932+5461390428*p^62*q^934+490473487*p^60*q^936+18826262*p^58 *q^938+2945696*p^56*q^940+39248*p^54*q^942+72*p^52*q^944+28*p^50*q^946+2192*p^ 97*q^898+148482*p^95*q^900+2852680*p^93*q^902+85567920*p^91*q^904+1146396816*p^ 89*q^906+13125022054*p^87*q^908+132199247947*p^85*q^910+1152761647508*p^83*q^ 912+8753296654674*p^81*q^914+55147771659386*p^79*q^916+240630851119625*p^77*q^ 918+498373636527408*p^75*q^920+363773901899773*p^73*q^922+101906482339284*p^71* q^924+16330105882641*p^69*q^926+2033375786394*p^67*q^928+221619420175*p^65*q^ 930+20944621278*p^63*q^932+1629012714*p^61*q^934+126336728*p^59*q^936+6112794*p ^57*q^938+571682*p^55*q^940+1640*p^53*q^942+8*p^49*q^946+24*p^98*q^896+54172*p^ 96*q^898+399190*p^94*q^900+15849636*p^92*q^902+299856690*p^90*q^904+3707890228* p^88*q^906+40047147858*p^86*q^908+376886427094*p^84*q^910+3071459820280*p^82*q^ 912+21617673719996*p^80*q^914+118175030432586*p^78*q^916+381644333442508*p^76*q ^918+488816912593331*p^74*q^920+218134449792566*p^72*q^922+44490371417064*p^70* q^924+6167586803136*p^68*q^926+719152295475*p^66*q^928+73120626728*p^64*q^930+ 6250657616*p^62*q^932+544492936*p^60*q^934+23907514*p^58*q^936+3241318*p^56*q^ 938+66852*p^54*q^940+1980*p^97*q^896+193638*p^95*q^898+2285758*p^93*q^900+ 74104282*p^91*q^902+1013499714*p^89*q^904+11696736339*p^87*q^906+118509981528*p ^85*q^908+1040224442144*p^83*q^910+7919535144848*p^81*q^912+50565333826089*p^79 *q^914+224902485999340*p^77*q^916+489431607054080*p^75*q^918+374399738794132*p^ 73*q^920+109621601714617*p^71*q^922+17838869494102*p^69*q^924+2249406398727*p^ 67*q^926+246600182152*p^65*q^928+23552087292*p^63*q^930+1786434410*p^61*q^932+ 152652996*p^59*q^934+5216186*p^57*q^936+769752*p^55*q^938+3048*p^53*q^940+4*p^ 51*q^942+2*p^49*q^944+27940*p^96*q^896+417252*p^94*q^898+12885084*p^92*q^900+ 268632112*p^90*q^902+3310722831*p^88*q^904+35910767406*p^86*q^906+338448296480* p^84*q^908+2780496214814*p^82*q^910+19623421505818*p^80*q^912+109340484398774*p ^78*q^914+363394477918426*p^76*q^916+492427845128774*p^74*q^918+229309795451304 *p^72*q^920+48386714644738*p^70*q^922+6771851211939*p^68*q^924+797624639806*p^ 66*q^926+81554567642*p^64*q^928+7130921868*p^62*q^930+591974272*p^60*q^932+ 31716870*p^58*q^934+2903406*p^56*q^936+85564*p^54*q^938+56*p^52*q^940+836*p^97* q^894+215738*p^95*q^896+2040217*p^93*q^898+62707010*p^91*q^900+895576401*p^89*q ^902+10450824914*p^87*q^904+106315903600*p^85*q^906+936402486054*p^83*q^908+ 7186563544470*p^81*q^910+46147047590154*p^79*q^912+210915645549197*p^77*q^914+ 476798446862306*p^75*q^916+386541565950997*p^73*q^918+117152826839018*p^71*q^ 920+19547680887041*p^69*q^922+2478547498150*p^67*q^924+274883754471*p^65*q^926+ 26308865140*p^63*q^928+2003127543*p^61*q^930+181470422*p^59*q^932+5043446*p^57* q^934+1012382*p^55*q^936+10888*p^53*q^938+15368*p^96*q^894+519110*p^94*q^896+ 10130536*p^92*q^898+237205278*p^90*q^900+2966016574*p^88*q^902+32069591445*p^86 *q^904+304818540472*p^84*q^906+2508419575497*p^82*q^908+17879192253122*p^80*q^ 910+100620000698497*p^78*q^912+347101453550212*p^76*q^914+491962319086860*p^74* q^916+241799471681396*p^72*q^918+52331652159021*p^70*q^920+7454804967010*p^68*q ^922+881859213099*p^66*q^924+91022906684*p^64*q^926+8117357212*p^62*q^928+ 629943904*p^60*q^930+39309178*p^58*q^932+2276960*p^56*q^934+138840*p^54*q^936+ 92*p^52*q^938+84*p^97*q^892+174574*p^95*q^894+1666394*p^93*q^896+51996564*p^91* q^898+801532640*p^89*q^900+9337708905*p^87*q^902+95357981844*p^85*q^904+ 845060647404*p^83*q^906+6499780082416*p^81*q^908+42264517108601*p^79*q^910+ 196516410906614*p^77*q^912+465794903177814*p^75*q^914+395928797872964*p^73*q^ 916+125621195222340*p^71*q^918+21323666674890*p^69*q^920+2740169371741*p^67*q^ 922+305422907434*p^65*q^924+29491091268*p^63*q^926+2274925814*p^61*q^928+ 209352352*p^59*q^930+6853584*p^57*q^932+1144718*p^55*q^934+12700*p^53*q^936+8*p ^98*q^890+11608*p^96*q^892+629368*p^94*q^894+9031242*p^92*q^896+212150936*p^90* q^898+2638304253*p^88*q^900+28760747614*p^86*q^902+273648041351*p^84*q^904+ 2269392377416*p^82*q^906+16214610783599*p^80*q^908+92917043866388*p^78*q^910+ 329069486973082*p^76*q^912+492960916952440*p^74*q^914+253209186535379*p^72*q^ 916+56799888539698*p^70*q^918+8177216471451*p^68*q^920+977610616986*p^66*q^922+ 101745640308*p^64*q^924+9208100872*p^62*q^926+676755216*p^60*q^928+50565036*p^ 58*q^930+1635696*p^56*q^932+211364*p^54*q^934+1012*p^52*q^936+128*p^97*q^890+ 102312*p^95*q^892+1683032*p^93*q^894+42020366*p^91*q^896+706856213*p^89*q^898+ 8339512286*p^87*q^900+85403742343*p^85*q^902+760260080080*p^83*q^904+ 5894131969013*p^81*q^906+38518952808452*p^79*q^908+183761333155109*p^77*q^910+ 451517335306442*p^75*q^912+406722854894021*p^73*q^914+133842646693536*p^71*q^ 916+23324906658449*p^69*q^918+3015770598458*p^67*q^920+339628831933*p^65*q^922+ 32787404456*p^63*q^924+2603477326*p^61*q^926+230628346*p^59*q^928+8582018*p^57* q^930+1001402*p^55*q^932+16524*p^53*q^934+12*p^98*q^888+2544*p^96*q^890+670686* p^94*q^892+7248276*p^92*q^894+182341588*p^90*q^896+2356916696*p^88*q^898+ 25685797869*p^86*q^900+246466968398*p^84*q^902+2046966995825*p^82*q^904+ 14762737305846*p^80*q^906+85338117858863*p^78*q^908+313091690407034*p^76*q^910+ 489808568958317*p^74*q^912+265885296924386*p^72*q^914+61301235643584*p^70*q^916 +8994883666302*p^68*q^918+1080170605758*p^66*q^920+113802744344*p^64*q^922+ 10396658783*p^62*q^924+734754784*p^60*q^926+62483464*p^58*q^928+1414370*p^56*q^ 930+331342*p^54*q^932+2368*p^52*q^934+160*p^97*q^888+89214*p^95*q^890+1739744*p ^93*q^892+35829707*p^91*q^894+641975556*p^89*q^896+7477547043*p^87*q^898+ 76658961276*p^85*q^900+685835046091*p^83*q^902+5329629108880*p^81*q^904+ 35232616634188*p^79*q^906+170689134699226*p^77*q^908+439001674577914*p^75*q^910 +414469532103074*p^73*q^912+143057994563168*p^71*q^914+25407267483626*p^69*q^ 916+3330597283325*p^67*q^918+376931864576*p^65*q^920+36700917226*p^63*q^922+ 3015345096*p^61*q^924+248860870*p^59*q^926+11661568*p^57*q^928+878390*p^55*q^ 930+27288*p^53*q^932+28*p^51*q^934+8*p^98*q^886+2520*p^96*q^888+508088*p^94*q^ 890+6567404*p^92*q^892+155990286*p^90*q^894+2076362880*p^88*q^896+22973091488*p ^86*q^898+220912740235*p^84*q^900+1850238071680*p^82*q^902+13378981184194*p^80* q^904+78642294582634*p^78*q^906+295636333721978*p^76*q^908+488317007007562*p^74 *q^910+277209982906735*p^72*q^912+66376979381272*p^70*q^914+9855723254976*p^68* q^916+1196626309940*p^66*q^918+126943886729*p^64*q^920+11672027990*p^62*q^922+ 804269368*p^60*q^924+75166452*p^58*q^926+1665228*p^56*q^928+315168*p^54*q^930+ 1112*p^52*q^932+192*p^97*q^886+36024*p^95*q^888+1936270*p^93*q^890+29671832*p^ 91*q^892+565803370*p^89*q^894+6695441410*p^87*q^896+68717338955*p^85*q^898+ 617082729410*p^83*q^900+4831073822156*p^81*q^902+32084515035548*p^79*q^904+ 159150396730755*p^77*q^906+423434403726524*p^75*q^908+423713424247569*p^73*q^ 910+151889500769658*p^71*q^912+27747624180297*p^69*q^914+3663009944302*p^67*q^ 916+418378782826*p^65*q^918+40996473144*p^63*q^920+3461440566*p^61*q^922+ 265198642*p^59*q^924+15312116*p^57*q^926+492830*p^55*q^928+68292*p^53*q^930+328 *p^51*q^932+12*p^98*q^884+1656*p^96*q^886+460318*p^94*q^888+6015346*p^92*q^890+ 131752251*p^90*q^892+1863979762*p^88*q^894+20541497846*p^86*q^896+198833356536* p^84*q^898+1668261277618*p^82*q^900+12170386308620*p^80*q^902+72110215556690*p^ 78*q^904+280141990701788*p^76*q^906+482601635775262*p^74*q^908+289888545103314* p^72*q^910+71458793889990*p^70*q^912+10830047540904*p^68*q^914+1321375792323*p^ 66*q^916+142051475728*p^64*q^918+13026710980*p^62*q^920+921874570*p^60*q^922+ 86080264*p^58*q^924+2225316*p^56*q^926+375748*p^54*q^928+2028*p^52*q^930+164*p^ 97*q^884+26054*p^95*q^886+1800896*p^93*q^888+25373326*p^91*q^890+504260076*p^89 *q^892+5971564457*p^87*q^894+61560038302*p^85*q^896+556429531061*p^83*q^898+ 4365274010626*p^81*q^900+29309969508402*p^79*q^902+147464508043256*p^77*q^904+ 409699694007051*p^75*q^906+429536923070380*p^73*q^908+161837256268692*p^71*q^ 910+30168493219198*p^69*q^912+4041136715491*p^67*q^914+463563198108*p^65*q^916+ 45905435874*p^63*q^918+3978585708*p^61*q^920+272924780*p^59*q^922+19813246*p^57 *q^924+355532*p^55*q^926+71856*p^53*q^928+32*p^51*q^930+1836*p^96*q^884+288416* p^94*q^886+5685408*p^92*q^888+111646738*p^90*q^890+1653945361*p^88*q^892+ 18408070096*p^86*q^894+178324294284*p^84*q^896+1507382393172*p^82*q^898+ 11024153407783*p^80*q^900+66331309153022*p^78*q^902+263589689332967*p^76*q^904+ 478535598355510*p^74*q^906+300854327006200*p^72*q^908+77192703802054*p^70*q^910 +11850725272368*p^68*q^912+1462682169934*p^66*q^914+158199829402*p^64*q^916+ 14576172170*p^62*q^918+1058454646*p^60*q^920+98023116*p^58*q^922+3257626*p^56*q ^924+279384*p^54*q^926+9148*p^52*q^928+20*p^50*q^930+216*p^97*q^882+16014*p^95* q^884+1757962*p^93*q^886+23014498*p^91*q^888+439631642*p^89*q^890+5328133710*p^ 87*q^892+55182429492*p^85*q^894+500269234854*p^83*q^896+3955797649720*p^81*q^ 898+26661806136642*p^79*q^900+137107860073271*p^77*q^902+393410666758868*p^75*q ^904+436819594064165*p^73*q^906+171224859507238*p^71*q^908+32900426470121*p^69* q^910+4441781104432*p^67*q^912+514463078506*p^65*q^914+51439304666*p^63*q^916+ 4505637563*p^61*q^918+291794804*p^59*q^920+24479256*p^57*q^922+344330*p^55*q^ 924+96324*p^53*q^926+76*p^51*q^928+4*p^100*q^878+8*p^98*q^880+1680*p^96*q^882+ 188300*p^94*q^884+5408086*p^92*q^886+93059756*p^90*q^888+1480104652*p^88*q^890+ 16473738692*p^86*q^892+160321773870*p^84*q^894+1358453577389*p^82*q^896+ 10021625580100*p^80*q^898+60717171597516*p^78*q^900+248833276265218*p^76*q^902+ 470574553503708*p^74*q^904+313178574215418*p^72*q^906+82872307555551*p^70*q^908 +13007405805698*p^68*q^910+1612678371216*p^66*q^912+176289679084*p^64*q^914+ 16218909263*p^62*q^916+1241693700*p^60*q^918+102692996*p^58*q^920+4273646*p^56* q^922+133754*p^54*q^924+13304*p^52*q^926+24*p^97*q^880+13816*p^95*q^882+1455216 *p^93*q^884+19870900*p^91*q^886+381691438*p^89*q^888+4748578528*p^87*q^890+ 49391986284*p^85*q^892+450968612813*p^83*q^894+3572574275762*p^81*q^896+ 24337217931591*p^79*q^898+126727189504382*p^77*q^900+378843901904746*p^75*q^902 +440605255098056*p^73*q^904+181751945108358*p^71*q^906+35704113816866*p^69*q^ 908+4896653076060*p^67*q^910+569890774354*p^65*q^912+57858243880*p^63*q^914+ 5100020660*p^61*q^916+317893080*p^59*q^918+30722132*p^57*q^920+606550*p^55*q^ 922+124088*p^53*q^924+672*p^51*q^926+1953*p^96*q^880+135834*p^94*q^882+5401858* p^92*q^884+83483554*p^90*q^886+1326540873*p^88*q^888+14788599598*p^86*q^890+ 143893507454*p^84*q^892+1227202712702*p^82*q^894+9072403392185*p^80*q^896+ 55770517708766*p^78*q^898+233272019131417*p^76*q^900+464127270070556*p^74*q^902 +323591950013696*p^72*q^904+89286005554534*p^70*q^906+14214532864553*p^68*q^908 +1784202244218*p^66*q^910+195863723737*p^64*q^912+18142100722*p^62*q^914+ 1443552047*p^60*q^916+106298246*p^58*q^918+5631650*p^56*q^920+63824*p^54*q^922+ 13532*p^52*q^924+64*p^99*q^876+168*p^97*q^878+11988*p^95*q^880+1033458*p^93*q^ 882+17704388*p^91*q^884+322503218*p^89*q^886+4206608856*p^87*q^888+44217553565* p^85*q^890+404971739666*p^83*q^892+3234606425285*p^81*q^894+22112744131758*p^79 *q^896+117551108808866*p^77*q^898+362130635828818*p^75*q^900+445729433422059*p^ 73*q^902+191619302176070*p^71*q^904+38859690901066*p^69*q^906+5376887248618*p^ 67*q^908+631778414738*p^65*q^910+64796382176*p^63*q^912+5696782805*p^61*q^914+ 358681688*p^59*q^916+35846004*p^57*q^918+806720*p^55*q^920+66106*p^53*q^922+ 1960*p^51*q^924+744*p^96*q^878+90112*p^94*q^880+5218922*p^92*q^882+71660216*p^ 90*q^884+1176249210*p^88*q^886+13240579320*p^86*q^888+129300321852*p^84*q^890+ 1105985843040*p^82*q^892+8243237613760*p^80*q^894+50978432720382*p^78*q^896+ 219507309773248*p^76*q^898+454014558081222*p^74*q^900+335240409957398*p^72*q^ 902+95598988301221*p^70*q^904+15579954663270*p^68*q^906+1965214010411*p^66*q^ 908+217946645378*p^64*q^910+20291315668*p^62*q^912+1679473270*p^60*q^914+ 108795526*p^58*q^916+7385288*p^56*q^918+86864*p^54*q^920+34220*p^52*q^922+20*p^ 50*q^924+8*p^99*q^874+8*p^97*q^876+12496*p^95*q^878+847274*p^93*q^880+16209588* p^91*q^882+283490052*p^89*q^884+3784043531*p^87*q^886+39654376384*p^85*q^888+ 365158383917*p^83*q^890+2920538801678*p^81*q^892+20165532078187*p^79*q^894+ 108379423002380*p^77*q^896+347211508986419*p^75*q^898+447174740553756*p^73*q^ 900+202638780253088*p^71*q^902+42093972717240*p^69*q^904+5923375724715*p^67*q^ 906+699690441546*p^65*q^908+72755037894*p^63*q^910+6378302138*p^61*q^912+ 420603170*p^59*q^914+39256506*p^57*q^916+1141158*p^55*q^918+29756*p^53*q^920+ 948*p^51*q^922+424*p^98*q^874+1586*p^96*q^876+77310*p^94*q^878+4290034*p^92*q^ 880+62999412*p^90*q^882+1029339044*p^88*q^884+11784722990*p^86*q^886+ 115821589413*p^84*q^888+997744649980*p^82*q^890+7458232244726*p^80*q^892+ 46747020861358*p^78*q^894+205092226485051*p^76*q^896+445610362658734*p^74*q^898 +344710264195161*p^72*q^900+102697912572050*p^70*q^902+17005192445775*p^68*q^ 904+2171543150384*p^66*q^906+241625621321*p^64*q^908+22834263730*p^62*q^910+ 1921255459*p^60*q^912+111009270*p^58*q^914+9981304*p^56*q^916+136424*p^54*q^918 +25988*p^52*q^920+188*p^50*q^922+8300*p^95*q^876+543550*p^93*q^878+15741172*p^ 91*q^880+244662018*p^89*q^882+3370526442*p^87*q^884+35630875328*p^85*q^886+ 327981411608*p^83*q^888+2644072020892*p^81*q^890+18311873942980*p^79*q^892+ 100312236288090*p^77*q^894+330421086683578*p^75*q^896+450078278361485*p^73*q^ 898+212765125885214*p^71*q^900+45719297626799*p^69*q^902+6496705321684*p^67*q^ 904+775030675818*p^65*q^906+81224209548*p^63*q^908+7065454282*p^61*q^910+ 494835258*p^59*q^912+41367196*p^57*q^914+1403196*p^55*q^916+10612*p^53*q^918+ 5340*p^51*q^920+232*p^98*q^872+476*p^96*q^874+66569*p^94*q^876+3844188*p^92*q^ 878+54683978*p^90*q^880+902781110*p^88*q^882+10544789422*p^86*q^884+ 103991583118*p^84*q^886+899028209062*p^82*q^888+6770478640600*p^80*q^890+ 42680277132498*p^78*q^892+192321527017322*p^76*q^894+433667544533028*p^74*q^896 +355493053035636*p^72*q^898+109629634536193*p^70*q^900+18615886950702*p^68*q^ 902+2391819289240*p^66*q^904+268903937152*p^64*q^906+25752700955*p^62*q^908+ 2197901518*p^60*q^910+121585306*p^58*q^912+12196706*p^56*q^914+209920*p^54*q^ 916+14296*p^52*q^918+28*p^50*q^920+1504*p^97*q^872+9900*p^95*q^874+458808*p^93* q^876+14166020*p^91*q^878+214648912*p^89*q^880+3015828654*p^87*q^882+ 31892648938*p^85*q^884+295479781616*p^83*q^886+2385285328180*p^81*q^888+ 16683943512766*p^79*q^890+92307827471682*p^77*q^892+315458116670998*p^75*q^894+ 449115330118172*p^73*q^896+224150075152795*p^71*q^898+49408702785326*p^69*q^900 +7148023076177*p^67*q^902+856491149420*p^65*q^904+90694734001*p^63*q^906+ 7862669430*p^61*q^908+586450590*p^59*q^910+40818766*p^57*q^912+2068950*p^55*q^ 914+18392*p^53*q^916+7260*p^51*q^918+8*p^49*q^920+12*p^98*q^870+22*p^96*q^872+ 55552*p^94*q^874+2815580*p^92*q^876+49137640*p^90*q^878+789217428*p^88*q^880+ 9397993740*p^86*q^882+93240712200*p^84*q^884+811006587484*p^82*q^886+ 6124048577035*p^80*q^888+39082541162118*p^78*q^890+179179586208250*p^76*q^892+ 423433957237354*p^74*q^894+363706852038854*p^72*q^896+117435365498748*p^70*q^ 898+20285899656332*p^68*q^900+2641165136622*p^66*q^902+298312432615*p^64*q^904+ 29115783008*p^62*q^906+2467954653*p^60*q^908+135586756*p^58*q^910+14341570*p^56 *q^912+268264*p^54*q^914+3916*p^52*q^916+396*p^50*q^918+2176*p^97*q^870+7272*p^ 95*q^872+348278*p^93*q^874+13482646*p^91*q^876+188597759*p^89*q^878+2674566744* p^87*q^880+28646530640*p^85*q^882+265231101452*p^83*q^884+2158681142646*p^81*q^ 886+15136539145872*p^79*q^888+85244340326359*p^77*q^890+299018284393382*p^75*q^ 892+449621021606369*p^73*q^894+234379196754082*p^71*q^896+53561733644669*p^69*q ^898+7832904334802*p^67*q^900+948370748672*p^65*q^902+100902429276*p^63*q^904+ 8791645331*p^61*q^906+691885212*p^59*q^908+41589632*p^57*q^910+2881280*p^55*q^ 912+29796*p^53*q^914+4236*p^51*q^916+8*p^98*q^868+3164*p^96*q^870+51056*p^94*q^ 872+2304166*p^92*q^874+43689888*p^90*q^876+685743266*p^88*q^878+8401485706*p^86 *q^880+83680690154*p^84*q^882+730199416588*p^82*q^884+5556407262580*p^80*q^886+ 35636773269495*p^78*q^888+167500558384756*p^76*q^890+410158276243771*p^74*q^892 +373196127799668*p^72*q^894+124957860607925*p^70*q^896+22174848640300*p^68*q^ 898+2905582201695*p^66*q^900+331388929036*p^64*q^902+32753003701*p^62*q^904+ 2735972096*p^60*q^906+159048292*p^58*q^908+14868876*p^56*q^910+312490*p^54*q^ 912+1580*p^52*q^914+1376*p^50*q^916+472*p^97*q^868+1088*p^95*q^870+288462*p^93* q^872+11460136*p^91*q^874+164022222*p^89*q^876+2382336449*p^87*q^878+ 25598580368*p^85*q^880+238841150727*p^83*q^882+1946932786870*p^81*q^884+ 13782809247511*p^79*q^886+78291652107326*p^77*q^888+284288540993921*p^75*q^890+ 446376709516484*p^73*q^892+245863620698816*p^71*q^894+57741154777254*p^69*q^896 +8610896488291*p^67*q^898+1047202647394*p^65*q^900+112580158822*p^63*q^902+ 9921444866*p^61*q^904+816839746*p^59*q^906+41471392*p^57*q^908+4000140*p^55*q^ 910+59156*p^53*q^912+2116*p^51*q^914+8*p^49*q^916+9888*p^96*q^868+55952*p^94*q^ 870+1817672*p^92*q^872+41054538*p^90*q^874+610200819*p^88*q^876+7511028880*p^86 *q^878+75172862380*p^84*q^880+658678269692*p^82*q^882+5022713081581*p^80*q^884+ 32598642503758*p^78*q^886+155584970704315*p^76*q^888+398464557185062*p^74*q^890 +379970484883728*p^72*q^892+133419071566910*p^70*q^894+24128980126724*p^68*q^ 896+3206296877658*p^66*q^898+367397138258*p^64*q^900+36885323820*p^62*q^902+ 3026924212*p^60*q^904+190021532*p^58*q^906+15844176*p^56*q^908+501086*p^54*q^ 910+2482*p^52*q^912+724*p^50*q^914+232*p^97*q^866+5336*p^95*q^868+239988*p^93*q ^870+9560322*p^91*q^872+142918142*p^89*q^874+2081502582*p^87*q^876+22887787020* p^85*q^878+214032127312*p^83*q^880+1760156853274*p^81*q^882+12493483318892*p^79 *q^884+72171553732064*p^77*q^886+268403355966218*p^75*q^888+444517578367939*p^ 73*q^890+256044054024132*p^71*q^892+62442720552609*p^69*q^894+9422388026802*p^ 67*q^896+1158480807904*p^65*q^898+125037537880*p^63*q^900+11205682840*p^61*q^ 902+926318858*p^59*q^904+42973920*p^57*q^906+4531782*p^55*q^908+43170*p^53*q^ 910+60*p^51*q^912+156*p^49*q^914+5616*p^96*q^866+19688*p^94*q^868+1376018*p^92* q^870+37736034*p^90*q^872+531678486*p^88*q^874+6725396221*p^86*q^876+ 67588901240*p^84*q^878+593124431665*p^82*q^880+4556029747818*p^80*q^882+ 29692143005804*p^78*q^884+145067770854592*p^76*q^886+384100431534032*p^74*q^888 +387877916235148*p^72*q^890+141501648558645*p^70*q^892+26328608250390*p^68*q^ 894+3524642363162*p^66*q^896+407882882224*p^64*q^898+41272402975*p^62*q^900+ 3353445710*p^60*q^902+235890605*p^58*q^904+15716226*p^56*q^906+822254*p^54*q^ 908+10628*p^52*q^910+684*p^50*q^912+24*p^97*q^864+25256*p^95*q^866+280738*p^93* q^868+8232884*p^91*q^870+126880648*p^89*q^872+1852926173*p^87*q^874+20473277870 *p^85*q^876+192635005197*p^83*q^878+1587270387332*p^81*q^880+11366562811942*p^ 79*q^882+66158797026410*p^77*q^884+254233522779374*p^75*q^886+438922744963688*p ^73*q^888+267426132877509*p^71*q^890+67166854669762*p^69*q^892+10349511068419*p ^67*q^894+1278369417938*p^65*q^896+139422159579*p^63*q^898+12772971544*p^61*q^ 900+1049273639*p^59*q^902+48052506*p^57*q^904+5213308*p^55*q^906+62662*p^53*q^ 908+84*p^51*q^910+72*p^49*q^912+2800*p^96*q^864+19524*p^94*q^866+1108310*p^92*q ^868+33148950*p^90*q^870+468034445*p^88*q^872+5983869256*p^86*q^874+60538373235 *p^84*q^876+534474802584*p^82*q^878+4115633286310*p^80*q^880+27126729243390*p^ 78*q^882+134379235293551*p^76*q^884+371459599537142*p^74*q^886+392884049837133* p^72*q^888+150564188861244*p^70*q^890+28596861444443*p^68*q^892+3884364330144*p ^66*q^894+451596479377*p^64*q^896+46213899280*p^62*q^898+3722456592*p^60*q^900+ 282366434*p^58*q^902+14486060*p^56*q^904+1128118*p^54*q^906+9402*p^52*q^908+8*p ^48*q^912+30452*p^95*q^864+177038*p^93*q^866+6278394*p^91*q^868+114815968*p^89* q^870+1626123516*p^87*q^872+18310142454*p^85*q^874+172923383524*p^83*q^876+ 1434709131943*p^81*q^878+10300570727796*p^79*q^880+60881264964721*p^77*q^882+ 239120992738910*p^75*q^884+434889164916371*p^73*q^886+277196715399196*p^71*q^ 888+72450145835247*p^69*q^890+11313776407316*p^67*q^892+1413412692113*p^65*q^ 894+154737462740*p^63*q^896+14473255743*p^61*q^898+1158134668*p^59*q^900+ 58131129*p^57*q^902+5838802*p^55*q^904+114536*p^53*q^906+1056*p^51*q^908+116*p^ 49*q^910+952*p^96*q^862+44284*p^94*q^864+1112304*p^92*q^866+30404621*p^90*q^868 +409067780*p^88*q^870+5333957027*p^86*q^872+54405227248*p^84*q^874+480759728311 *p^82*q^876+3730589156756*p^80*q^878+24684924927343*p^78*q^880+124950647668430* p^76*q^882+356371962316352*p^74*q^884+399087390734730*p^72*q^886+ 159119849911904*p^70*q^888+31152951492616*p^68*q^890+4267061569433*p^66*q^892+ 500887171738*p^64*q^894+51624640405*p^62*q^896+4197044138*p^60*q^898+336641981* p^58*q^900+13870458*p^56*q^902+1317894*p^54*q^904+5012*p^52*q^906+4*p^48*q^910+ 8*p^97*q^860+20292*p^95*q^862+125134*p^93*q^864+5041292*p^91*q^866+102375880*p^ 89*q^868+1440101567*p^87*q^870+16382538484*p^85*q^872+155620558378*p^83*q^874+ 1293316962578*p^81*q^876+9363367414370*p^79*q^878+55732624148040*p^77*q^880+ 225656472202320*p^75*q^882+427172212392752*p^73*q^884+288278593141242*p^71*q^ 886+77708552607814*p^69*q^888+12407868580592*p^67*q^890+1557957879666*p^65*q^ 892+172478081572*p^63*q^894+16353287424*p^61*q^896+1276843628*p^59*q^898+ 72838470*p^57*q^900+5686252*p^55*q^902+220538*p^53*q^904+2220*p^51*q^906+56*p^ 96*q^860+90728*p^94*q^862+976208*p^92*q^864+25153486*p^90*q^866+360447350*p^88* q^868+4732019394*p^86*q^870+48645342796*p^84*q^872+433002752410*p^82*q^874+ 3368609748035*p^80*q^876+22528812239018*p^78*q^878+115480550038963*p^76*q^880+ 343032309852186*p^74*q^882+402079678225984*p^72*q^884+168726558986774*p^70*q^ 886+33769507450491*p^68*q^888+4700143998814*p^66*q^890+554144073355*p^64*q^892+ 57568413610*p^62*q^894+4788621170*p^60*q^896+385856990*p^58*q^898+14124629*p^56 *q^900+1726650*p^54*q^902+10396*p^52*q^904+36*p^50*q^906+8*p^48*q^908+12032*p^ 95*q^860+115510*p^93*q^862+4258920*p^91*q^864+95870075*p^89*q^866+1271851286*p^ 87*q^868+14674056317*p^85*q^870+139836904380*p^83*q^872+1168684041156*p^81*q^ 874+8480081578246*p^79*q^876+51195130861197*p^77*q^878+211551228493936*p^75*q^ 880+420999737559936*p^73*q^882+297431048016224*p^71*q^884+83619355781710*p^69*q ^886+13547447726534*p^67*q^888+1720784315111*p^65*q^890+191408473886*p^63*q^892 +18509491515*p^61*q^894+1387708694*p^59*q^896+92430372*p^57*q^898+5256794*p^55* q^900+264462*p^53*q^902+192*p^51*q^904+252*p^96*q^858+91160*p^94*q^860+714078*p ^92*q^862+20920978*p^90*q^864+313998242*p^88*q^866+4188679989*p^86*q^868+ 43618355190*p^84*q^870+389061629331*p^82*q^872+3051951513216*p^80*q^874+ 20478816097015*p^78*q^876+107106424282646*p^76*q^878+327700844866504*p^74*q^880 +406299420117952*p^72*q^882+177632797260658*p^70*q^884+36720628136164*p^68*q^ 886+5156679743641*p^66*q^888+614064545910*p^64*q^890+64103952470*p^62*q^892+ 5434758612*p^60*q^894+437607114*p^58*q^896+16248214*p^56*q^898+1894374*p^54*q^ 900+29424*p^52*q^902+322*p^50*q^904+2392*p^95*q^858+186320*p^93*q^860+3994840*p ^91*q^862+84882440*p^89*q^864+1123544410*p^87*q^866+13125293350*p^85*q^868+ 125792792943*p^83*q^870+1053288411272*p^81*q^872+7704883841380*p^79*q^874+ 46800673967632*p^77*q^876+198935499381157*p^75*q^878+411517564893530*p^73*q^880 +307819988960252*p^71*q^882+89428137081882*p^69*q^884+14840351186860*p^67*q^886 +1895548746452*p^65*q^888+213139016102*p^63*q^890+20811247876*p^61*q^892+ 1555180542*p^59*q^894+113782884*p^57*q^896+4535568*p^55*q^898+383016*p^53*q^900 +598*p^51*q^902+32*p^96*q^856+77664*p^94*q^858+600402*p^92*q^860+17034852*p^90* q^862+285993702*p^88*q^864+3731750168*p^86*q^866+39036000793*p^84*q^868+ 350700091450*p^82*q^870+2754350265029*p^80*q^872+18677073305268*p^78*q^874+ 98751717646147*p^76*q^876+313992808795260*p^74*q^878+407260280939490*p^72*q^880 +187639821645022*p^70*q^882+39725601885055*p^68*q^884+5676055205882*p^66*q^886+ 678611011495*p^64*q^888+71549768554*p^62*q^890+6231411647*p^60*q^892+480372640* p^58*q^894+20897188*p^56*q^896+2031720*p^54*q^898+46148*p^52*q^900+3096*p^95*q^ 856+264366*p^93*q^858+3271048*p^91*q^860+74466058*p^89*q^862+979631446*p^87*q^ 864+11675588018*p^85*q^866+112808225726*p^83*q^868+950289738760*p^81*q^870+ 6972395329110*p^79*q^872+42928608673043*p^77*q^874+185876830082576*p^75*q^876+ 403485468744982*p^73*q^878+316172873051964*p^71*q^880+95948195450299*p^69*q^882 +16176585235810*p^67*q^884+2092313881001*p^65*q^886+236276640174*p^63*q^888+ 23315153390*p^61*q^890+1731747868*p^59*q^892+134747484*p^57*q^894+4025410*p^55* q^896+467042*p^53*q^898+2214*p^51*q^900+20*p^49*q^902+32936*p^94*q^856+475366*p ^92*q^858+14732264*p^90*q^860+257216322*p^88*q^862+3306529104*p^86*q^864+ 35071184482*p^84*q^866+315322933402*p^82*q^868+2495368269450*p^80*q^870+ 16964225438613*p^78*q^872+91415779324946*p^76*q^874+298671168595255*p^74*q^876+ 409331636974682*p^72*q^878+196784359888092*p^70*q^880+43099845670426*p^68*q^882 +6221725277817*p^66*q^884+751085638124*p^64*q^886+79660989183*p^62*q^888+ 7121429600*p^60*q^890+523577978*p^58*q^892+28128818*p^56*q^894+1819172*p^54*q^ 896+62600*p^52*q^898+16*p^50*q^900+8*p^97*q^852+1060*p^95*q^854+301864*p^93*q^ 856+2935606*p^91*q^858+63953236*p^89*q^860+867562204*p^87*q^862+10445150990*p^ 85*q^864+101406283061*p^83*q^866+856146931348*p^81*q^868+6330557996050*p^79*q^ 870+39185262051408*p^77*q^872+174249578812898*p^75*q^874+392355100944416*p^73*q ^876+325625404031689*p^71*q^878+102334892845906*p^69*q^880+17698919720348*p^67* q^882+2303255342998*p^65*q^884+263019258484*p^63*q^886+26096222636*p^61*q^888+ 1975932604*p^59*q^890+159001074*p^57*q^892+4239298*p^55*q^894+604674*p^53*q^896 +6592*p^51*q^898+23476*p^94*q^854+639392*p^92*q^856+12654382*p^90*q^858+ 231161974*p^88*q^860+2929891530*p^86*q^862+31308380473*p^84*q^864+283998157336* p^82*q^866+2250910772005*p^80*q^868+15454989824480*p^78*q^870+84101007706865*p^ 76*q^872+285039485952294*p^74*q^874+408131210220516*p^72*q^876+207041515584416* p^70*q^878+46528402579735*p^68*q^880+6838727478240*p^66*q^882+829001933944*p^64 *q^884+88834527616*p^62*q^886+8104095915*p^60*q^888+570234484*p^58*q^890+ 34813256*p^56*q^892+1451098*p^54*q^894+86416*p^52*q^896+72*p^50*q^898+4*p^97*q^ 850+120*p^95*q^852+216540*p^93*q^854+2088468*p^91*q^856+53553430*p^89*q^858+ 768759632*p^87*q^860+9285447919*p^85*q^862+90925601850*p^83*q^864+772320675111* p^81*q^866+5726961942138*p^79*q^868+35899421335396*p^77*q^870+162305432776504*p ^75*q^872+382853933372170*p^73*q^874+332747566687946*p^71*q^876+109447179635925 *p^69*q^878+19264642478368*p^67*q^880+2541017934317*p^65*q^882+291225736338*p^ 63*q^884+29141564816*p^61*q^886+2258708974*p^59*q^888+176124931*p^57*q^890+ 5724826*p^55*q^892+653984*p^53*q^894+7802*p^51*q^896+128*p^96*q^850+14932*p^94* q^852+803096*p^92*q^854+11602038*p^90*q^856+208879010*p^88*q^858+2593576433*p^ 86*q^860+28127750016*p^84*q^862+255408843515*p^82*q^864+2037873742484*p^80*q^ 866+14029464398760*p^78*q^868+77677703042420*p^76*q^870+269991660086589*p^74*q^ 872+408144988421258*p^72*q^874+216231918808601*p^70*q^876+50379517389774*p^68*q ^878+7490214478055*p^66*q^880+916984433472*p^64*q^882+98993825736*p^62*q^884+ 9196047226*p^60*q^886+626417474*p^58*q^888+45184458*p^56*q^890+1134838*p^54*q^ 892+123774*p^52*q^894+580*p^50*q^896+8*p^97*q^848+44*p^95*q^850+139332*p^93*q^ 852+1983568*p^91*q^854+45636566*p^89*q^856+681801622*p^87*q^858+8272670310*p^85 *q^860+81617752661*p^83*q^862+695247557498*p^81*q^864+5195681285513*p^79*q^866+ 32732158642002*p^77*q^868+151691301126685*p^75*q^870+370459585941212*p^73*q^872 +341085606446901*p^71*q^874+116340228703638*p^69*q^876+21037931609474*p^67*q^ 878+2794377351686*p^65*q^880+323437434445*p^63*q^882+32503848266*p^61*q^884+ 2610568280*p^59*q^886+195669478*p^57*q^888+7328724*p^55*q^890+572568*p^53*q^892 +12390*p^51*q^894+80*p^96*q^848+3544*p^94*q^850+831490*p^92*q^852+9398056*p^90* q^854+181290745*p^88*q^856+2298677656*p^86*q^858+25114646150*p^84*q^860+ 230011192574*p^82*q^862+1837699983314*p^80*q^864+12771875637126*p^78*q^866+ 71346411445690*p^76*q^868+256611179064460*p^74*q^870+404754160981411*p^72*q^872 +226592863197912*p^70*q^874+54249773421415*p^68*q^876+8226475626154*p^66*q^878+ 1011597219683*p^64*q^880+110464249724*p^62*q^882+10362954109*p^60*q^884+ 697608346*p^58*q^886+53160648*p^56*q^888+1095398*p^54*q^890+177064*p^52*q^892+ 888*p^50*q^894+992*p^95*q^848+116468*p^93*q^850+2059618*p^91*q^852+40387038*p^ 89*q^854+618538906*p^87*q^856+7366646177*p^85*q^858+73188452260*p^83*q^860+ 627262436630*p^81*q^862+4698087253710*p^79*q^864+29944019537574*p^77*q^866+ 140909719640500*p^75*q^868+359684826222941*p^73*q^870+346786127970844*p^71*q^ 872+124059134629985*p^69*q^874+22863199921754*p^67*q^876+3080053419606*p^65*q^ 878+357724470908*p^63*q^880+36321622119*p^61*q^882+3018126164*p^59*q^884+ 210212313*p^57*q^886+10403222*p^55*q^888+450770*p^53*q^890+16500*p^51*q^892+20* p^49*q^894+152*p^96*q^846+1712*p^94*q^848+637732*p^92*q^850+7771848*p^90*q^852+ 156835802*p^88*q^854+2016973018*p^86*q^856+22459136484*p^84*q^858+206520396134* p^82*q^860+1662258067016*p^80*q^862+11582732092486*p^78*q^864+65767507911198*p^ 76*q^866+242183727426828*p^74*q^868+402636256043532*p^72*q^870+235617786687658* p^70*q^872+58608548158782*p^68*q^874+8996842012194*p^66*q^876+1118488547568*p^ 64*q^878+122848824840*p^62*q^880+11621324042*p^60*q^882+784759665*p^58*q^884+ 62335804*p^56*q^886+1271888*p^54*q^888+178912*p^52*q^890+1242*p^50*q^892+828*p^ 95*q^846+46644*p^93*q^848+2270882*p^91*q^850+35552032*p^89*q^852+552663211*p^87 *q^854+6577761028*p^85*q^856+65782945599*p^83*q^858+564895160672*p^81*q^860+ 4261712809584*p^79*q^862+27276697417992*p^77*q^864+131317537070853*p^75*q^866+ 346464406642630*p^73*q^868+353622794171884*p^71*q^870+131417110932496*p^69*q^ 872+24928824607445*p^67*q^874+3384217604052*p^65*q^876+396507853127*p^63*q^878+ 40599657202*p^61*q^880+3481723335*p^59*q^882+229162260*p^57*q^884+13627049*p^55 *q^886+314070*p^53*q^888+34550*p^51*q^890+88*p^49*q^892+8*p^96*q^844+5212*p^94* q^846+586964*p^92*q^848+7101228*p^90*q^850+135259668*p^88*q^852+1799861134*p^86 *q^854+20037427267*p^84*q^856+185830627896*p^82*q^858+1498038970631*p^80*q^860+ 10536948966444*p^78*q^862+60290264713139*p^76*q^864+229260977145720*p^74*q^866+ 397272143678834*p^72*q^868+245827045679942*p^70*q^870+62954909950025*p^68*q^872 +9872386574392*p^66*q^874+1233437478236*p^64*q^876+137124065778*p^62*q^878+ 13011549263*p^60*q^880+914427354*p^58*q^882+70044952*p^56*q^884+1837308*p^54*q^ 886+169718*p^52*q^888+1360*p^50*q^890+2*p^99*q^840+1344*p^95*q^844+25928*p^93*q ^846+2158204*p^91*q^848+29595822*p^89*q^850+492471240*p^87*q^852+5825066868*p^ 85*q^854+58874150948*p^83*q^856+509322397197*p^81*q^858+3850586060320*p^79*q^ 860+24929168550199*p^77*q^862+121659744220488*p^75*q^864+334792767554710*p^73*q ^866+357783247615438*p^71*q^868+139640455137976*p^69*q^870+27039959338742*p^67* q^872+3726675624333*p^65*q^874+437861104354*p^63*q^876+45300257981*p^61*q^878+ 3960941520*p^59*q^880+241175478*p^57*q^882+16619398*p^55*q^884+219188*p^53*q^ 886+39440*p^51*q^888+64*p^49*q^890+5596*p^94*q^844+357912*p^92*q^846+6335668*p^ 90*q^848+119484314*p^88*q^850+1598089170*p^86*q^852+17936130884*p^84*q^854+ 166924246773*p^82*q^856+1354767197680*p^80*q^858+9550551919924*p^78*q^860+ 55491198276194*p^76*q^862+215575417060120*p^74*q^864+393080842766360*p^72*q^866 +254509506564508*p^70*q^868+67834737685334*p^68*q^870+10782195485575*p^66*q^872 +1363021650800*p^64*q^874+152172431967*p^62*q^876+14590727658*p^60*q^878+ 1067547482*p^58*q^880+78224772*p^56*q^882+2895953*p^54*q^884+127154*p^52*q^886+ 4628*p^50*q^888+4*p^48*q^890+422*p^95*q^842+25072*p^93*q^844+2127958*p^91*q^846 +26848256*p^89*q^848+433151692*p^87*q^850+5187234060*p^85*q^852+52862964782*p^ 83*q^854+458471618156*p^81*q^856+3490726645085*p^79*q^858+22681171323656*p^77*q ^860+113102572502501*p^75*q^862+320963788780962*p^73*q^864+362957966947114*p^71 *q^866+147430813859098*p^69*q^868+29429748687647*p^67*q^870+4092107164704*p^65* q^872+485319046117*p^63*q^874+50770426470*p^61*q^876+4505313490*p^59*q^878+ 269505392*p^57*q^880+20513952*p^55*q^882+238420*p^53*q^884+48172*p^51*q^886+60* p^49*q^888+36*p^98*q^838+8*p^96*q^840+7488*p^94*q^842+220068*p^92*q^844+6260940 *p^90*q^846+102181928*p^88*q^848+1433413814*p^86*q^850+15993804144*p^84*q^852+ 150066239620*p^82*q^854+1220606449814*p^80*q^856+8680909935418*p^78*q^858+ 50785150523018*p^76*q^860+203376378995782*p^74*q^862+385832609657098*p^72*q^864 +264310347205932*p^70*q^866+72677785519484*p^68*q^868+11815498144476*p^66*q^870 +1500968496573*p^64*q^872+169146474286*p^62*q^874+16257843783*p^60*q^876+ 1244888282*p^58*q^878+81998424*p^56*q^880+3649812*p^54*q^882+63564*p^52*q^884+ 6268*p^50*q^886+24*p^95*q^840+29644*p^93*q^842+1751662*p^91*q^844+22082520*p^89 *q^846+379978686*p^87*q^848+4583704981*p^85*q^850+47242131484*p^83*q^852+ 413258694057*p^81*q^854+3152772428452*p^79*q^856+20708200614425*p^77*q^858+ 104522204550594*p^75*q^860+308808015349002*p^73*q^862+365266310234582*p^71*q^ 864+156094879666714*p^69*q^866+31864994166714*p^67*q^868+4501778709947*p^65*q^ 870+536073251310*p^63*q^872+56813517516*p^61*q^874+5087096704*p^59*q^876+ 306836512*p^57*q^878+23976900*p^55*q^880+475788*p^53*q^882+42732*p^51*q^884+362 *p^49*q^886+5568*p^94*q^840+150700*p^92*q^842+6184528*p^90*q^844+92508340*p^88* q^846+1284759948*p^86*q^848+14329289502*p^84*q^850+134871023018*p^82*q^852+ 1103359018486*p^80*q^854+7865353594451*p^78*q^856+46664680427448*p^76*q^858+ 190552930632828*p^74*q^860+379871603788930*p^72*q^862+272360791608695*p^70*q^ 864+78092941885842*p^68*q^866+12888919080373*p^66*q^868+1657929675832*p^64*q^ 870+187255351830*p^62*q^872+18221204736*p^60*q^874+1446349271*p^58*q^876+ 84955302*p^56*q^878+4986832*p^54*q^880+25872*p^52*q^882+9164*p^50*q^884+274*p^ 97*q^836+186*p^95*q^838+31584*p^93*q^840+1238986*p^91*q^842+19904524*p^89*q^844 +329592212*p^87*q^846+4070358788*p^85*q^848+42343612264*p^83*q^850+371499130470 *p^81*q^852+2855900538645*p^79*q^854+18824485338066*p^77*q^856+96924164427204*p ^75*q^858+294737878414848*p^73*q^860+368711665077804*p^71*q^862+164161912580340 *p^69*q^864+34616475982728*p^67*q^866+4938529079046*p^65*q^868+593620801602*p^ 63*q^870+63537647528*p^61*q^872+5718011927*p^59*q^874+358083696*p^57*q^876+ 27908260*p^55*q^878+667548*p^53*q^880+26092*p^51*q^882+828*p^49*q^884+996*p^94* q^838+141708*p^92*q^840+6049212*p^90*q^842+78993396*p^88*q^844+1142520536*p^86* q^846+12768496600*p^84*q^848+121157375794*p^82*q^850+994270003309*p^80*q^852+ 7144449977620*p^78*q^854+42656570611296*p^76*q^856+179160411299454*p^74*q^858+ 370926538727104*p^72*q^860+281584128080100*p^70*q^862+83420583385833*p^68*q^864 +14101092024670*p^66*q^866+1824229944105*p^64*q^868+207827172810*p^62*q^870+ 20400800930*p^60*q^872+1674980536*p^58*q^874+91630914*p^56*q^876+5967662*p^54*q ^878+54160*p^52*q^880+10658*p^50*q^882+12*p^48*q^884+64*p^97*q^834+20*p^95*q^ 836+36634*p^93*q^838+916044*p^91*q^840+18027248*p^89*q^842+293072410*p^87*q^844 +3638666270*p^85*q^846+37877718000*p^83*q^848+334975176016*p^81*q^850+ 2578020810738*p^79*q^852+17168840162793*p^77*q^854+89384258998058*p^75*q^856+ 282280484662461*p^73*q^858+369094128717896*p^71*q^860+173179924006622*p^69*q^ 862+37400563873212*p^67*q^864+5430184926984*p^65*q^866+655675195806*p^63*q^868+ 70941219727*p^61*q^870+6403410072*p^59*q^872+420287196*p^57*q^874+28702636*p^55 *q^876+1010492*p^53*q^878+5590*p^51*q^880+956*p^49*q^882+1148*p^96*q^834+2020*p ^94*q^836+128128*p^92*q^838+5023102*p^90*q^840+68563724*p^88*q^842+1006506584*p ^86*q^844+11350603016*p^84*q^846+108646163348*p^82*q^848+897866603808*p^80*q^ 850+6468068865933*p^78*q^852+39131456706342*p^76*q^854+167357831813221*p^74*q^ 856+363353282733954*p^72*q^858+288760740481194*p^70*q^860+89403094397866*p^68*q ^862+15359000078112*p^66*q^864+2012235459624*p^64*q^866+229767408010*p^62*q^868 +22943947218*p^60*q^870+1909188855*p^58*q^872+100286992*p^56*q^874+7900750*p^54 *q^876+95836*p^52*q^878+7874*p^50*q^880+84*p^48*q^882+14818*p^93*q^836+673790*p ^91*q^838+17463892*p^89*q^840+258868272*p^87*q^842+3249653236*p^85*q^844+ 34016204983*p^83*q^846+301218735148*p^81*q^848+2335229993596*p^79*q^850+ 15595661567814*p^77*q^852+82703990571414*p^75*q^854+268347706022670*p^73*q^856+ 370564250524301*p^71*q^858+181392367513664*p^69*q^860+40544168690951*p^67*q^862 +5948645659836*p^65*q^864+725877143013*p^63*q^866+78988168754*p^61*q^868+ 7165697480*p^59*q^870+502418698*p^57*q^872+30148868*p^55*q^874+1237728*p^53*q^ 876+3624*p^51*q^878+2038*p^49*q^880+944*p^96*q^832+680*p^94*q^834+155808*p^92*q ^836+4265704*p^90*q^838+60065651*p^88*q^840+889696096*p^86*q^842+10114088024*p^ 84*q^844+97535933362*p^82*q^846+808649108879*p^80*q^848+5871714426552*p^78*q^ 850+35719714456196*p^76*q^852+156818249236804*p^74*q^854+353085662166264*p^72*q ^856+297078762058864*p^70*q^858+95217142068218*p^68*q^860+16786102864192*p^66*q ^862+2213650532256*p^64*q^864+254979805474*p^62*q^866+25821797248*p^60*q^868+ 2182888674*p^58*q^870+114601531*p^56*q^872+9178644*p^54*q^874+168574*p^52*q^876 +2444*p^50*q^878+36*p^48*q^880+2888*p^95*q^832+14512*p^93*q^834+584362*p^91*q^ 836+16019066*p^89*q^838+224914312*p^87*q^840+2898677640*p^85*q^842+30369767666* p^83*q^844+271255667009*p^81*q^846+2106540631442*p^79*q^848+14212758686719*p^77 *q^850+76103362679054*p^75*q^852+255929329006413*p^73*q^854+369102863377728*p^ 71*q^856+190584317375257*p^69*q^858+43702730735768*p^67*q^860+6532909197352*p^ 65*q^862+800280819144*p^63*q^864+87776309329*p^61*q^866+7995237988*p^59*q^868+ 583048056*p^57*q^870+30483348*p^55*q^872+1645558*p^53*q^874+9724*p^51*q^876+ 1388*p^49*q^878+4*p^47*q^880+56*p^96*q^830+100*p^94*q^832+109858*p^92*q^834+ 3126998*p^90*q^836+52749738*p^88*q^838+789119482*p^86*q^840+9001631802*p^84*q^ 842+87457344138*p^82*q^844+730291393922*p^80*q^846+5313579341931*p^78*q^848+ 32731914028710*p^76*q^850+146052503178168*p^74*q^852+344118263398018*p^72*q^854 +303197382760276*p^70*q^856+101711460973890*p^68*q^858+18253688992749*p^66*q^ 860+2440680775930*p^64*q^862+282135102153*p^62*q^864+29057142040*p^60*q^866+ 2459689812*p^58*q^868+136559194*p^56*q^870+9862036*p^54*q^872+238464*p^52*q^874 +100*p^50*q^876+264*p^48*q^878+5764*p^95*q^830+9496*p^93*q^832+561110*p^91*q^ 834+14976186*p^89*q^836+200923066*p^87*q^838+2582831834*p^85*q^840+27259846701* p^83*q^842+243832863966*p^81*q^844+1907206454714*p^79*q^846+12897651339862*p^77 *q^848+70284387676575*p^75*q^850+242275025520670*p^73*q^852+368613521310355*p^ 71*q^854+198838317427220*p^69*q^856+47274445976654*p^67*q^858+7149434656168*p^ 65*q^860+885462396488*p^63*q^862+97389428644*p^61*q^864+9030780810*p^59*q^866+ 687120048*p^57*q^868+32718588*p^55*q^870+2405974*p^53*q^872+20272*p^51*q^874+ 796*p^49*q^876+56*p^96*q^828+4516*p^94*q^830+83260*p^92*q^832+2641060*p^90*q^ 834+47937670*p^88*q^836+690785092*p^86*q^838+8023464650*p^84*q^840+78424907282* p^82*q^842+657317935071*p^80*q^844+4819501369104*p^78*q^846+29838506652893*p^76 *q^848+136468775683768*p^74*q^850+332773441843853*p^72*q^852+310374037869634*p^ 70*q^854+108000203234577*p^68*q^856+19913506543362*p^66*q^858+2681700450227*p^ 64*q^860+312873150364*p^62*q^862+32580353742*p^60*q^864+2745055288*p^58*q^866+ 161660160*p^56*q^868+9991858*p^54*q^870+246992*p^52*q^872+624*p^50*q^874+132*p^ 48*q^876+1508*p^95*q^828+2404*p^93*q^830+514024*p^91*q^832+12392422*p^89*q^834+ 171975702*p^87*q^836+2299593414*p^85*q^838+24282880514*p^83*q^840+219455725467* p^81*q^842+1720173493796*p^79*q^844+11746123648012*p^77*q^846+64549974241250*p^ 75*q^848+230205269306021*p^73*q^850+365179497236882*p^71*q^852+208025858691610* p^69*q^854+50839650778888*p^67*q^856+7842893821834*p^65*q^858+975819801820*p^63 *q^860+108096425723*p^61*q^862+10157172772*p^59*q^864+797720928*p^57*q^866+ 35778218*p^55*q^868+2816956*p^53*q^870+43496*p^51*q^872+16*p^47*q^876+18996*p^ 94*q^828+75692*p^92*q^830+2206730*p^90*q^832+44518986*p^88*q^834+620910353*p^86 *q^836+7171887258*p^84*q^838+70448692286*p^82*q^840+593517441148*p^80*q^842+ 4360023754529*p^78*q^844+27305891751444*p^76*q^846+126725607732497*p^74*q^848+ 322810975155572*p^72*q^850+315149242144396*p^70*q^852+114996729125628*p^68*q^ 854+21622560278642*p^66*q^856+2954934652952*p^64*q^858+346026854929*p^62*q^860+ 36476149340*p^60*q^862+3085838146*p^58*q^864+192837962*p^56*q^866+10289674*p^54 *q^868+462672*p^52*q^870+1380*p^50*q^872+140*p^48*q^874+912*p^95*q^826+5722*p^ 93*q^828+397372*p^91*q^830+10455634*p^89*q^832+152147758*p^87*q^834+2025292330* p^85*q^836+21700468759*p^83*q^838+196847946388*p^81*q^840+1555769703703*p^79*q^ 842+10651521936568*p^77*q^844+59495245373849*p^75*q^846+217076946064596*p^73*q^ 848+362891343807804*p^71*q^850+216076489891970*p^69*q^852+54859109973327*p^67*q ^854+8572867195080*p^65*q^856+1078378270494*p^63*q^858+119811234624*p^61*q^860+ 11530469798*p^59*q^862+905740600*p^57*q^864+41889360*p^55*q^866+3092094*p^53*q^ 868+31554*p^51*q^870+20*p^49*q^872+6*p^47*q^874+12916*p^94*q^826+30484*p^92*q^ 828+1959130*p^90*q^830+40549398*p^88*q^832+542356384*p^86*q^834+6416509258*p^84 *q^836+63226674886*p^82*q^838+534238714838*p^80*q^840+3953517081348*p^78*q^842+ 24872066496554*p^76*q^844+118085325435636*p^74*q^846+310669623298588*p^72*q^848 +321036391508342*p^70*q^850+121668898415711*p^68*q^852+23546355560850*p^66*q^ 854+3243704560145*p^64*q^856+383566423604*p^62*q^858+40653415619*p^60*q^860+ 3450438028*p^58*q^862+233778036*p^56*q^864+10443890*p^54*q^866+641354*p^52*q^ 868+6116*p^50*q^870+136*p^95*q^824+37534*p^93*q^826+406042*p^91*q^828+8955546*p ^89*q^830+133921628*p^87*q^832+1811098598*p^85*q^834+19334732584*p^83*q^836+ 177098084651*p^81*q^838+1402903018350*p^79*q^840+9690186914039*p^77*q^842+ 54553996782710*p^75*q^844+205444444012134*p^73*q^846+357607357674968*p^71*q^848 +225132044009447*p^69*q^850+58847619228060*p^67*q^852+9395958054943*p^65*q^854+ 1187975506354*p^63*q^856+133018957502*p^61*q^858+13030340144*p^59*q^860+ 1029015960*p^57*q^862+49228668*p^55*q^864+3147358*p^53*q^866+60092*p^51*q^868+ 36*p^49*q^870+10*p^47*q^872+7436*p^94*q^824+23208*p^92*q^826+1596714*p^90*q^828 +35364630*p^88*q^830+479234388*p^86*q^832+5701193080*p^84*q^834+56647573971*p^ 82*q^836+481883498320*p^80*q^838+3573136257520*p^78*q^840+22733473555000*p^76*q ^842+109391080112983*p^74*q^844+299961243755620*p^72*q^846+324298031685110*p^70 *q^848+129135766196332*p^68*q^850+25515192039387*p^66*q^852+3569243266686*p^64* q^854+423811551953*p^62*q^856+45241502816*p^60*q^858+3886865980*p^58*q^860+ 272567484*p^56*q^862+10823314*p^54*q^864+808712*p^52*q^866+5004*p^50*q^868+ 53656*p^93*q^824+242094*p^91*q^826+7421096*p^89*q^828+121420900*p^87*q^830+ 1604347812*p^85*q^832+17324507741*p^83*q^834+159032846488*p^81*q^836+ 1268875874800*p^79*q^838+8784333474690*p^77*q^840+50193598455213*p^75*q^842+ 193082062163278*p^73*q^844+353472397492965*p^71*q^846+232762736139864*p^69*q^ 848+63343226076384*p^67*q^850+10255361342126*p^65*q^852+1312527688046*p^63*q^ 854+147396659162*p^61*q^856+14766176591*p^59*q^858+1156111822*p^57*q^860+ 61304966*p^55*q^862+3374218*p^53*q^864+109004*p^51*q^866+496*p^49*q^868+3208*p^ 94*q^822+53376*p^92*q^824+1636802*p^90*q^826+32045822*p^88*q^828+421220816*p^86 *q^830+5088597412*p^84*q^832+50751967256*p^82*q^834+433258913366*p^80*q^836+ 3238282052834*p^78*q^838+20680992968928*p^76*q^840+101651947232426*p^74*q^842+ 287412930302976*p^72*q^844+328631490181296*p^70*q^846+136145501903987*p^68*q^ 848+27742548352118*p^66*q^850+3915916731026*p^64*q^852+469388271128*p^62*q^854+ 50299841926*p^60*q^856+4414043518*p^58*q^858+321030798*p^56*q^860+12235262*p^54 *q^862+849714*p^52*q^864+4756*p^50*q^866+56*p^95*q^820+39888*p^93*q^822+170198* p^91*q^824+6038642*p^89*q^826+107428396*p^87*q^828+1420263065*p^85*q^830+ 15433301822*p^83*q^832+143014739306*p^81*q^834+1143516425054*p^79*q^836+ 7986268011597*p^77*q^838+45950968742524*p^75*q^840+182075436675887*p^73*q^842+ 346631180763454*p^71*q^844+241403189054355*p^69*q^846+67759098653348*p^67*q^848 +11224863877445*p^65*q^850+1443485916946*p^63*q^852+163597502407*p^61*q^854+ 16551254480*p^59*q^856+1288139325*p^57*q^858+72151794*p^55*q^860+3125136*p^53*q ^862+160312*p^51*q^864+852*p^49*q^866+192*p^94*q^820+128912*p^92*q^822+1296372* p^90*q^824+27114210*p^88*q^826+370005566*p^86*q^828+4536412266*p^84*q^830+ 45412697831*p^82*q^832+390621424180*p^80*q^834+2925811979977*p^78*q^836+ 18887617898662*p^76*q^838+93940487364136*p^74*q^840+276227370202812*p^72*q^842+ 330310375739074*p^70*q^844+143946243832548*p^68*q^846+30000558697903*p^66*q^848 +4306284771280*p^64*q^850+518610528976*p^62*q^852+55874680828*p^60*q^854+ 5029469379*p^58*q^856+368595298*p^56*q^858+14977312*p^54*q^860+957910*p^52*q^ 862+13276*p^50*q^864+16*p^48*q^866+28780*p^93*q^820+131684*p^91*q^822+5612194*p ^89*q^824+99701256*p^87*q^826+1268174238*p^85*q^828+13821919382*p^83*q^830+ 128493826178*p^81*q^832+1033846644301*p^79*q^834+7233708529282*p^77*q^836+ 42217110923496*p^75*q^838+170518308165860*p^73*q^840+340842712249649*p^71*q^842 +248475287456476*p^69*q^844+72741098006204*p^67*q^846+12236037994276*p^65*q^848 +1593628838563*p^63*q^850+181262983864*p^61*q^852+18637629606*p^59*q^854+ 1454423462*p^57*q^856+89704294*p^55*q^858+3210422*p^53*q^860+203518*p^51*q^862+ 172*p^49*q^864+2*p^96*q^816+1036*p^94*q^818+141432*p^92*q^820+965210*p^90*q^822 +22732714*p^88*q^824+324012452*p^86*q^826+4018419541*p^84*q^828+40632995606*p^ 82*q^830+350835822979*p^80*q^832+2649573232334*p^78*q^834+17164307362997*p^76*q ^836+87100361921192*p^74*q^838+263504300979299*p^72*q^840+332970359204746*p^70* q^842+151218562618226*p^68*q^844+32546851636896*p^66*q^846+4718328455005*p^64*q ^848+573785395418*p^62*q^850+61986703064*p^60*q^852+5729255364*p^58*q^854+ 415128441*p^56*q^856+17258300*p^54*q^858+958994*p^52*q^860+21046*p^50*q^862+92* p^48*q^864+6304*p^93*q^818+227596*p^91*q^820+5163046*p^89*q^822+88122482*p^87*q ^824+1116968164*p^85*q^826+12344776514*p^83*q^828+115461764037*p^81*q^830+ 931566628018*p^79*q^832+6572740042452*p^77*q^834+38591588936834*p^75*q^836+ 160294893438909*p^73*q^838+332537553437948*p^71*q^840+256475788570364*p^69*q^ 842+77597540363972*p^67*q^844+13374128515180*p^65*q^846+1751756449224*p^63*q^ 848+201201693440*p^61*q^850+20758869662*p^59*q^852+1637835418*p^57*q^854+ 106823476*p^55*q^856+3618846*p^53*q^858+211228*p^51*q^860+1096*p^49*q^862+8*p^ 96*q^814+88*p^94*q^816+142144*p^92*q^818+734534*p^90*q^820+19046762*p^88*q^822+ 292032922*p^86*q^824+3599568964*p^84*q^826+36338073743*p^82*q^828+316376655862* p^80*q^830+2393312751359*p^78*q^832+15660263408956*p^76*q^834+80302018458185*p^ 74*q^836+252200185617504*p^72*q^838+332880606299692*p^70*q^840+159273436683210* p^68*q^842+35129455855229*p^66*q^844+5183952672654*p^64*q^846+633324886854*p^62 *q^848+68859645418*p^60*q^850+6543882492*p^58*q^852+471590676*p^56*q^854+ 21646158*p^54*q^856+937090*p^52*q^858+40768*p^50*q^860+28*p^95*q^814+8716*p^93* q^816+342316*p^91*q^818+4182628*p^89*q^820+77958062*p^87*q^822+984038826*p^85*q ^824+11004743902*p^83*q^826+103586323952*p^81*q^828+841116857505*p^79*q^830+ 5949690524474*p^77*q^832+35398559517505*p^75*q^834+149633808545046*p^73*q^836+ 325407117463272*p^71*q^838+262713750110844*p^69*q^840+83055299192649*p^67*q^842 +14556481104878*p^65*q^844+1932288306562*p^63*q^846+222796769048*p^61*q^848+ 23188036330*p^59*q^850+1860338308*p^57*q^852+123167741*p^55*q^854+4082142*p^53* q^856+245298*p^51*q^858+1612*p^49*q^860+4*p^47*q^862+66484*p^92*q^816+565468*p^ 90*q^818+17550988*p^88*q^820+262465112*p^86*q^822+3194180549*p^84*q^824+ 32562902952*p^82*q^826+284215513281*p^80*q^828+2166822921758*p^78*q^830+ 14223167053471*p^76*q^832+74295926723708*p^74*q^834+239555699761019*p^72*q^836+ 333889459204616*p^70*q^838+166621532772255*p^68*q^840+38030397558112*p^66*q^842 +5674664812860*p^64*q^844+699962604306*p^62*q^846+76403040812*p^60*q^848+ 7435270270*p^58*q^850+529954307*p^56*q^852+27817260*p^54*q^854+924374*p^52*q^ 856+38648*p^50*q^858+48*p^48*q^860+136*p^95*q^812+2904*p^93*q^814+444804*p^91*q ^816+3648697*p^89*q^818+65939152*p^87*q^820+865835530*p^85*q^822+9834584420*p^ 83*q^824+92942512992*p^81*q^826+757522375282*p^79*q^828+5401590777938*p^77*q^ 830+32320041235286*p^75*q^832+140196580842837*p^73*q^834+315876410973654*p^71*q ^836+269906239696795*p^69*q^838+88334404132336*p^67*q^840+15886403479870*p^65*q ^842+2122921881528*p^63*q^844+247288855929*p^61*q^846+25762052558*p^59*q^848+ 2130530130*p^57*q^850+143517108*p^55*q^852+4580796*p^53*q^854+265442*p^51*q^856 +5528*p^49*q^858+158*p^94*q^812+49844*p^92*q^814+739906*p^90*q^816+14956682*p^ 88*q^818+236276186*p^86*q^820+2848348708*p^84*q^822+29078482337*p^82*q^824+ 256254232612*p^80*q^826+1955722050016*p^78*q^828+12963096709690*p^76*q^830+ 68369863426609*p^74*q^832+228328599415252*p^72*q^834+332040179321007*p^70*q^836 +174842475196884*p^68*q^838+40946119605964*p^66*q^840+6227877772506*p^64*q^842+ 771544088844*p^62*q^844+84860053774*p^60*q^846+8364727313*p^58*q^848+592562102* p^56*q^850+32373344*p^54*q^852+987458*p^52*q^854+44924*p^50*q^856+60*p^48*q^858 +8*p^95*q^810+276*p^93*q^812+351236*p^91*q^814+2527302*p^89*q^816+57548428*p^87 *q^818+768493182*p^85*q^820+8768628658*p^83*q^822+83348045364*p^81*q^824+ 683609701382*p^79*q^826+4887852444772*p^77*q^828+29606011816388*p^75*q^830+ 130514613403534*p^73*q^832+307561353542952*p^71*q^834+275071458342348*p^69*q^ 836+94262580005027*p^67*q^838+17261948722612*p^65*q^840+2339539704214*p^63*q^ 842+273736288624*p^61*q^844+28688643931*p^59*q^846+2478059120*p^57*q^848+ 165080875*p^55*q^850+6460924*p^53*q^852+263946*p^51*q^854+6880*p^49*q^856+1056* p^94*q^810+34420*p^92*q^812+1013952*p^90*q^814+13906854*p^88*q^816+211348508*p^ 86*q^818+2524373151*p^84*q^820+26089193334*p^82*q^822+230127518710*p^80*q^824+ 1770399649080*p^78*q^826+11762917738362*p^76*q^828+63117413447256*p^74*q^830+ 216057730779322*p^72*q^832+331262079442700*p^70*q^834+182148276094940*p^68*q^ 836+44239879363520*p^66*q^838+6809200392437*p^64*q^840+852638235466*p^62*q^842+ 94206093875*p^60*q^844+9433693344*p^58*q^846+662902053*p^56*q^848+39324924*p^54 *q^850+981366*p^52*q^852+57216*p^50*q^854+388*p^48*q^856+8*p^95*q^808+704*p^93* q^810+237632*p^91*q^812+2274474*p^89*q^814+49510806*p^87*q^816+680977438*p^85*q ^818+7814394264*p^83*q^820+74625571821*p^81*q^822+615190529036*p^79*q^824+ 4433927571194*p^77*q^826+26995038337906*p^75*q^828+121912844945593*p^73*q^830+ 297185596629106*p^71*q^832+281206704413942*p^69*q^834+99922090636602*p^67*q^836 +18808899428094*p^65*q^838+2568275578202*p^63*q^840+303106034446*p^61*q^842+ 31798397418*p^59*q^844+2833847495*p^57*q^846+187132688*p^55*q^848+7513139*p^53* q^850+232474*p^51*q^852+5344*p^49*q^854+346*p^94*q^808+6888*p^92*q^810+1133730* p^90*q^812+11086930*p^88*q^814+183500928*p^86*q^816+2238527760*p^84*q^818+ 23297688811*p^82*q^820+207398969790*p^80*q^822+1597239358990*p^78*q^824+ 10715815806298*p^76*q^826+57975729739070*p^74*q^828+205112446710514*p^72*q^830+ 327789499397674*p^70*q^832+190293841749412*p^68*q^834+47514832422438*p^66*q^836 +7465684825024*p^64*q^838+938778526635*p^62*q^840+104827509686*p^60*q^842+ 10536437380*p^58*q^844+763397288*p^56*q^846+46237200*p^54*q^848+1317422*p^52*q^ 850+73500*p^50*q^852+1058*p^48*q^854+4932*p^93*q^808+219014*p^91*q^810+2386784* p^89*q^812+44973120*p^87*q^814+618923418*p^85*q^816+6996736032*p^83*q^818+ 66979759266*p^81*q^820+555320627515*p^79*q^822+4010114724884*p^77*q^824+ 24701191629387*p^75*q^826+113166736740442*p^73*q^828+287936039100110*p^71*q^830 +285186084047488*p^69*q^832+106280325170095*p^67*q^834+20400964599412*p^65*q^ 836+2828529272929*p^63*q^838+335365584746*p^61*q^840+35381699649*p^59*q^842+ 3264918592*p^57*q^844+209575616*p^55*q^846+9586226*p^53*q^848+237874*p^51*q^850 +8280*p^49*q^852+8*p^47*q^854+148*p^94*q^806+5958*p^92*q^808+903852*p^90*q^810+ 9050072*p^88*q^812+160377416*p^86*q^814+1964634648*p^84*q^816+20810048034*p^82* q^818+185880630659*p^80*q^820+1443799951976*p^78*q^822+9713532631661*p^76*q^824 +53427509168964*p^74*q^826+193337873602010*p^72*q^828+325321634919068*p^70*q^ 830+197440728831913*p^68*q^832+51206145330044*p^66*q^834+8151826596145*p^64*q^ 836+1036942718862*p^62*q^838+116231039840*p^60*q^840+11784932572*p^58*q^842+ 881767814*p^56*q^844+54144110*p^54*q^846+1567576*p^52*q^848+54016*p^50*q^850+ 356*p^48*q^852+3912*p^93*q^806+83458*p^91*q^808+2773144*p^89*q^810+39697632*p^ 87*q^812+546871302*p^85*q^814+6238374824*p^83*q^816+60070161382*p^81*q^818+ 499905104282*p^79*q^820+3637438558443*p^77*q^822+22499682343754*p^75*q^824+ 105448634220550*p^73*q^826+276923068801510*p^71*q^828+290034884539983*p^69*q^ 830+112288774107070*p^67*q^832+22186338411677*p^65*q^834+3101683032742*p^63*q^ 836+370722429841*p^61*q^838+39264861872*p^59*q^840+3703606806*p^57*q^842+ 231378304*p^55*q^844+11547822*p^53*q^846+253514*p^51*q^848+15172*p^49*q^850+100 *p^47*q^852+38*p^94*q^804+15876*p^92*q^806+915528*p^90*q^808+7953930*p^88*q^810 +139676646*p^86*q^812+1759421548*p^84*q^814+18611219359*p^82*q^816+167304035934 *p^80*q^818+1302124780342*p^78*q^820+8840118016122*p^76*q^822+48981793609435*p^ 74*q^824+182884645913250*p^72*q^826+320182920623391*p^70*q^828+205375100035314* p^68*q^830+54868459460251*p^66*q^832+8928547931280*p^64*q^834+1141639258684*p^ 62*q^836+129454461738*p^60*q^838+13111283074*p^58*q^840+1036512066*p^56*q^842+ 63870003*p^54*q^844+2046446*p^52*q^846+55868*p^50*q^848+792*p^48*q^850+1600*p^ 93*q^804+55020*p^91*q^806+2657378*p^89*q^808+33447407*p^87*q^810+489059856*p^85 *q^812+5542370150*p^83*q^814+53772987802*p^81*q^816+450874296144*p^79*q^818+ 3287557662956*p^77*q^820+20561945599283*p^75*q^822+97626839517398*p^73*q^824+ 267131883173739*p^71*q^826+292641719094548*p^69*q^828+119010989854766*p^67*q^ 830+24020950276750*p^65*q^832+3411817509934*p^63*q^834+409366797432*p^61*q^836+ 43654714070*p^59*q^838+4199316376*p^57*q^840+259765077*p^55*q^842+13551862*p^53 *q^844+293340*p^51*q^846+12936*p^49*q^848+12*p^47*q^850+22496*p^92*q^804+570220 *p^90*q^806+7358714*p^88*q^808+125170136*p^86*q^810+1559458860*p^84*q^812+ 16656135982*p^82*q^814+150085747906*p^80*q^816+1176883686238*p^78*q^818+ 8010773407513*p^76*q^820+45064606508430*p^74*q^822+171759652414166*p^72*q^824+ 316189196889902*p^70*q^826+212065117855831*p^68*q^828+58977098987554*p^66*q^830 +9735903718067*p^64*q^832+1260125707498*p^62*q^834+143446713274*p^60*q^836+ 14619636150*p^58*q^838+1206630474*p^56*q^840+72111452*p^54*q^842+2666934*p^52*q ^844+55068*p^50*q^846+1852*p^48*q^848+4*p^46*q^850+980*p^93*q^802+49864*p^91*q^ 804+2815622*p^89*q^806+29574054*p^87*q^808+428176169*p^85*q^810+4927247618*p^83 *q^812+48198492692*p^81*q^814+405449927488*p^79*q^816+2979329318068*p^77*q^818+ 18711582577698*p^75*q^820+90720746053431*p^73*q^822+255728480894744*p^71*q^824+ 296163597451033*p^69*q^826+125295413252066*p^67*q^828+26076951606086*p^65*q^830 +3739355319468*p^63*q^832+452653103063*p^61*q^834+48582312476*p^59*q^836+ 4729947601*p^57*q^838+300240146*p^55*q^840+16692574*p^53*q^842+367326*p^51*q^ 844+10390*p^49*q^846+40*p^47*q^848+12*p^94*q^800+12764*p^92*q^802+364852*p^90*q ^804+7120194*p^88*q^806+108266878*p^86*q^808+1395533164*p^84*q^810+14878739672* p^82*q^812+134941872914*p^80*q^814+1060987254792*p^78*q^816+7284144603118*p^76* q^818+41257237940799*p^74*q^820+161898894520354*p^72*q^822+309608790492055*p^70 *q^824+219630319305880*p^68*q^826+63006615237346*p^66*q^828+10646046030004*p^64 *q^830+1385611331568*p^62*q^832+159126031112*p^60*q^834+16173369436*p^58*q^836+ 1393146996*p^56*q^838+78406477*p^54*q^840+2962374*p^52*q^842+48880*p^50*q^844+ 2768*p^48*q^846+60*p^93*q^800+84200*p^91*q^802+2436582*p^89*q^804+24665696*p^87 *q^806+379628600*p^85*q^808+4378119734*p^83*q^810+43140362596*p^81*q^812+ 365577036878*p^79*q^814+2691356385594*p^77*q^816+17082885068491*p^75*q^818+ 83811536738302*p^73*q^820+245565410434270*p^71*q^822+297227455367088*p^69*q^824 +132334118268508*p^67*q^826+28174402439212*p^65*q^828+4110715574285*p^63*q^830+ 499786183284*p^61*q^832+54228032400*p^59*q^834+5328125366*p^57*q^836+357461332* p^55*q^838+20695588*p^53*q^840+585004*p^51*q^842+12588*p^49*q^844+116*p^47*q^ 846+10088*p^92*q^800+249304*p^90*q^802+7279422*p^88*q^804+98571906*p^86*q^806+ 1245648883*p^84*q^808+13319509872*p^82*q^810+121063444615*p^80*q^812+ 958589503404*p^78*q^814+6596991352921*p^76*q^816+37888660893008*p^74*q^818+ 151570067003275*p^72*q^820+304155493438622*p^70*q^822+225734702399651*p^68*q^ 824+67553012974980*p^66*q^826+11591659178043*p^64*q^828+1528075555834*p^62*q^ 830+176079383419*p^60*q^832+18010301584*p^58*q^834+1606797704*p^56*q^836+ 85366538*p^54*q^838+3697550*p^52*q^840+50274*p^50*q^842+1292*p^48*q^844+294*p^ 93*q^798+69368*p^91*q^800+1766504*p^89*q^802+21842932*p^87*q^804+329322072*p^85 *q^806+3876299890*p^83*q^808+38608064226*p^81*q^810+328292142700*p^79*q^812+ 2437597735636*p^77*q^814+15526862733032*p^75*q^816+77696091155301*p^73*q^818+ 234115778992890*p^71*q^820+299237504294818*p^69*q^822+138778825234452*p^67*q^ 824+30527895466063*p^65*q^826+4499991521692*p^63*q^828+552341227817*p^61*q^830+ 60268757150*p^59*q^832+5939833652*p^57*q^834+417347520*p^55*q^836+23594123*p^53 *q^838+577944*p^51*q^840+8020*p^49*q^842+388*p^47*q^844+2524*p^92*q^798+261556* p^90*q^800+7409876*p^88*q^802+84423878*p^86*q^804+1108649770*p^84*q^806+ 11889691115*p^82*q^808+108804855530*p^80*q^810+864150827888*p^78*q^812+ 5995574673800*p^76*q^814+34643266676587*p^74*q^816+142378736379912*p^72*q^818+ 296412910206248*p^70*q^820+232649790196498*p^68*q^822+71959643149700*p^66*q^824 +12658145061670*p^64*q^826+1678864214613*p^62*q^828+195058912864*p^60*q^830+ 20006658026*p^58*q^832+1837528122*p^56*q^834+98659182*p^54*q^836+4797886*p^52*q ^838+116308*p^50*q^840+2388*p^48*q^842+4*p^46*q^844+28*p^93*q^796+61724*p^91*q^ 798+1361612*p^89*q^800+19917180*p^87*q^802+296663414*p^85*q^804+3473500578*p^83 *q^806+34592210072*p^81*q^808+296020607193*p^79*q^810+2200629117590*p^77*q^812+ 14164688611493*p^75*q^814+71607422036896*p^73*q^816+223831255505812*p^71*q^818+ 298792201388834*p^69*q^820+146001773908290*p^67*q^822+32911731592062*p^65*q^824 +4942508119954*p^63*q^826+609597909022*p^61*q^828+67256178846*p^59*q^830+ 6627293968*p^57*q^832+500665554*p^55*q^834+25805964*p^53*q^836+741054*p^51*q^ 838+4350*p^49*q^840+92*p^47*q^842+3134*p^92*q^796+277480*p^90*q^798+6335510*p^ 88*q^800+73127494*p^86*q^802+976547746*p^84*q^804+10565066600*p^82*q^806+ 97446748748*p^80*q^808+779701415344*p^78*q^810+5425075964461*p^76*q^812+ 31770629817956*p^74*q^814+132872307773757*p^72*q^816+289709053248626*p^70*q^818 +238028949455094*p^68*q^820+76919940460708*p^66*q^822+13759565597274*p^64*q^824 +1850352075708*p^62*q^826+215561855744*p^60*q^828+22300696430*p^58*q^830+ 2089151869*p^56*q^832+112650196*p^54*q^834+6061163*p^52*q^836+109364*p^50*q^838 +1304*p^48*q^840+24*p^46*q^842+31976*p^91*q^796+939244*p^89*q^798+19672854*p^87 *q^800+263294610*p^85*q^802+3084955926*p^83*q^804+31037250166*p^81*q^806+ 265863633216*p^79*q^808+1992905433095*p^77*q^810+12864424982534*p^75*q^812+ 66255359406490*p^73*q^814+212501901293472*p^71*q^816+299232872031010*p^69*q^818 +152520063510512*p^67*q^820+35577723838742*p^65*q^822+5403993217256*p^63*q^824+ 673131241086*p^61*q^826+74580863094*p^59*q^828+7364368521*p^57*q^830+582243760* p^55*q^832+27893010*p^53*q^834+908518*p^51*q^836+17828*p^49*q^838+312*p^47*q^ 840+8*p^94*q^792+1072*p^92*q^794+262830*p^90*q^796+5673308*p^88*q^798+63472834* p^86*q^800+862270946*p^84*q^802+9440047892*p^82*q^804+87483515112*p^80*q^806+ 702580781926*p^78*q^808+4926643662092*p^76*q^810+29004744827252*p^74*q^812+ 124449215888602*p^72*q^814+280920408610342*p^70*q^816+244116028762384*p^68*q^ 818+81707997316372*p^66*q^820+15003762017086*p^64*q^822+2032129024233*p^62*q^ 824+238883138158*p^60*q^826+24900941965*p^58*q^828+2365268028*p^56*q^830+ 138372574*p^54*q^832+7427206*p^52*q^834+126504*p^50*q^836+168*p^48*q^838+4*p^46 *q^840+22290*p^91*q^794+985714*p^89*q^796+18240318*p^87*q^798+231324392*p^85*q^ 800+2763908605*p^83*q^802+27717649790*p^81*q^804+239514431383*p^79*q^806+ 1798187743202*p^77*q^808+11723236622587*p^75*q^810+60937678948778*p^73*q^812+ 202379842897788*p^71*q^814+297210975545418*p^69*q^816+159809303330196*p^67*q^ 818+38269683616524*p^65*q^820+5927280737339*p^63*q^822+741663646638*p^61*q^824+ 82885718777*p^59*q^826+8167631234*p^57*q^828+679402162*p^55*q^830+29650456*p^53 *q^832+1195518*p^51*q^834+22448*p^49*q^836+152*p^47*q^838+4*p^94*q^790+90*p^92* q^792+207128*p^90*q^794+3974894*p^88*q^796+56773646*p^86*q^798+769116678*p^84*q ^800+8384038720*p^82*q^802+78440440996*p^80*q^804+633696189882*p^78*q^806+ 4456270417241*p^76*q^808+26566415151324*p^74*q^810+115786386780326*p^72*q^812+ 273291938055908*p^70*q^814+248486725674158*p^68*q^816+87060886092206*p^66*q^818 +16283797025945*p^64*q^820+2237931901666*p^62*q^822+264112052866*p^60*q^824+ 27840782364*p^58*q^826+2662647270*p^56*q^828+167262462*p^54*q^830+8364986*p^52* q^832+166772*p^50*q^834+1636*p^48*q^836+20*p^46*q^838+124*p^93*q^790+15700*p^91 *q^792+907184*p^89*q^794+17902118*p^87*q^796+203910151*p^85*q^798+2445538678*p^ 83*q^800+24862510162*p^81*q^802+214942682876*p^79*q^804+1627406575257*p^77*q^ 806+10640123792890*p^75*q^808+56260762814053*p^73*q^810+191362586642020*p^71*q^ 812+296159312954139*p^69*q^814+166234588283806*p^67*q^816+41280147704777*p^65*q ^818+6474232335192*p^63*q^820+818786173065*p^61*q^822+91748083442*p^59*q^824+ 9092371660*p^57*q^826+784304682*p^55*q^828+33993674*p^53*q^830+1660646*p^51*q^ 832+14814*p^49*q^834+8*p^94*q^788+104*p^92*q^790+133008*p^90*q^792+3522918*p^88 *q^794+51091358*p^86*q^796+679414026*p^84*q^798+7487512969*p^82*q^800+ 70356816368*p^80*q^802+570613126845*p^78*q^804+4043423226440*p^76*q^806+ 24226509732376*p^74*q^808+108127346580374*p^72*q^810+263725279641234*p^70*q^812 +253640256626264*p^68*q^814+92170043167043*p^66*q^816+17722621887928*p^64*q^818 +2455343623544*p^62*q^820+292303778550*p^60*q^822+31029391577*p^58*q^824+ 2970627774*p^56*q^826+199099441*p^54*q^828+8435342*p^52*q^830+180292*p^50*q^832 +4256*p^48*q^834+8*p^46*q^836+80*p^93*q^788+2968*p^91*q^790+866304*p^89*q^792+ 14863740*p^87*q^794+177508626*p^85*q^796+2181422194*p^83*q^798+22179150194*p^81 *q^800+193536356200*p^79*q^802+1467824935124*p^77*q^804+9688098069264*p^75*q^ 806+51662289609190*p^73*q^808+181533149683864*p^71*q^810+292602069425888*p^69*q ^812+173473448395472*p^67*q^814+44285876630080*p^65*q^816+7093087605324*p^63*q^ 818+901760291674*p^61*q^820+101903318531*p^59*q^822+10132019084*p^57*q^824+ 907010416*p^55*q^826+42723542*p^53*q^828+2286544*p^51*q^830+31264*p^49*q^832+56 *p^47*q^834+856*p^92*q^788+122862*p^90*q^790+3114574*p^88*q^792+48969410*p^86*q ^794+608756706*p^84*q^796+6683529720*p^82*q^798+63108117413*p^80*q^800+ 514669974468*p^78*q^802+3655692467813*p^76*q^804+22159454503570*p^74*q^806+ 100341025479237*p^72*q^808+255314207414166*p^70*q^810+256859938421912*p^68*q^ 812+97904495897976*p^66*q^814+19201574779100*p^64*q^816+2702101508332*p^62*q^ 818+322869578227*p^60*q^820+34626840422*p^58*q^822+3322350987*p^56*q^824+ 237003150*p^54*q^826+8491758*p^52*q^828+257988*p^50*q^830+936*p^48*q^832+152*p^ 93*q^786+2376*p^91*q^788+641008*p^89*q^790+12360538*p^87*q^792+155557994*p^85*q ^794+1923237782*p^83*q^796+19792384213*p^81*q^798+173464932984*p^79*q^800+ 1327054879414*p^77*q^802+8783769544380*p^75*q^804+47601544692832*p^73*q^806+ 171045642843644*p^71*q^808+290049391582272*p^69*q^810+179656202359188*p^67*q^ 812+47663899888620*p^65*q^814+7735153135796*p^63*q^816+994588926979*p^61*q^818+ 112757763244*p^59*q^820+11322091992*p^57*q^822+1024591216*p^55*q^824+51409328*p ^53*q^826+2440348*p^51*q^828+23586*p^49*q^830+544*p^47*q^832+828*p^92*q^786+ 44648*p^90*q^788+2861842*p^88*q^790+45365824*p^86*q^792+534954062*p^84*q^794+ 5965341337*p^82*q^796+56677517974*p^80*q^798+463295823262*p^78*q^800+ 3316314277282*p^76*q^802+20188219450989*p^74*q^804+93449115859892*p^72*q^806+ 245302231507667*p^70*q^808+260836847113726*p^68*q^810+103284978069275*p^66*q^ 812+20859251067760*p^64*q^814+2962156516889*p^62*q^816+357138866510*p^60*q^818+ 38468301006*p^58*q^820+3682601218*p^56*q^822+280821511*p^54*q^824+9832814*p^52* q^826+470298*p^50*q^828+4528*p^48*q^830+8*p^93*q^784+3848*p^91*q^786+628290*p^ 89*q^788+11055496*p^87*q^790+138979218*p^85*q^792+1723796694*p^83*q^794+ 17684988274*p^81*q^796+156123179290*p^79*q^798+1196484254662*p^77*q^800+ 7992872042998*p^75*q^802+43631026509374*p^73*q^804+161633581307131*p^71*q^806+ 285138470561840*p^69*q^808+186629364798999*p^67*q^810+51003727179822*p^65*q^812 +8467524078779*p^63*q^814+1094593894070*p^61*q^816+125252185127*p^59*q^818+ 12675109228*p^57*q^820+1177555309*p^55*q^822+64564394*p^53*q^824+2422820*p^51*q ^826+27828*p^49*q^828+28*p^47*q^830+1360*p^92*q^784+28352*p^90*q^786+2437924*p^ 88*q^788+39184524*p^86*q^790+473604477*p^84*q^792+5303823302*p^82*q^794+ 50676901294*p^80*q^796+417363599944*p^78*q^798+2995285467212*p^76*q^800+ 18444551160474*p^74*q^802+86492158038111*p^72*q^804+236384250606824*p^70*q^806+ 262854014548172*p^68*q^808+109330445451576*p^66*q^810+22553450613905*p^64*q^812 +3255566896410*p^62*q^814+394119715860*p^60*q^816+42779349108*p^58*q^818+ 4096448721*p^56*q^820+324297838*p^54*q^822+11569462*p^52*q^824+603100*p^50*q^ 826+3632*p^48*q^828+32*p^46*q^830+5428*p^91*q^784+374170*p^89*q^786+9259370*p^ 87*q^788+127678542*p^85*q^790+1523567654*p^83*q^792+15790242523*p^81*q^794+ 140081537866*p^79*q^796+1081549014436*p^77*q^798+7242751649130*p^75*q^800+ 40145304794836*p^73*q^802+151761310394138*p^71*q^804+281165121509625*p^69*q^806 +192442793244640*p^67*q^808+54736181951358*p^65*q^810+9220319009492*p^63*q^812+ 1207170163504*p^61*q^814+138466135590*p^59*q^816+14177107475*p^57*q^818+ 1318796638*p^55*q^820+77818554*p^53*q^822+2367098*p^51*q^824+63444*p^49*q^826+ 356*p^47*q^828+408*p^92*q^782+19680*p^90*q^784+2368644*p^88*q^786+36285034*p^86 *q^788+416502376*p^84*q^790+4733041931*p^82*q^792+45495143072*p^80*q^794+ 375413815935*p^78*q^796+2715507318480*p^76*q^798+16783444322534*p^74*q^800+ 80358147315058*p^72*q^802+226071592604935*p^70*q^804+265546163663104*p^68*q^806 +114938549727221*p^66*q^808+24458438875700*p^64*q^810+3566420722120*p^62*q^812+ 435637698046*p^60*q^814+47522815839*p^58*q^816+4569001800*p^56*q^818+379738835* p^54*q^820+15362308*p^52*q^822+660890*p^50*q^824+2080*p^48*q^826+4*p^95*q^778+8 *p^93*q^780+7748*p^91*q^782+225922*p^89*q^784+8148624*p^87*q^786+112940070*p^85 *q^788+1358199194*p^83*q^790+14095042164*p^81*q^792+125897563002*p^79*q^794+ 974689264458*p^77*q^796+6583824955774*p^75*q^798+36734500943822*p^73*q^800+ 142948228638288*p^71*q^802+275004798295630*p^69*q^804+198985143551372*p^67*q^ 806+58424289003466*p^65*q^808+10074700704129*p^63*q^810+1326747523732*p^61*q^ 812+153648093147*p^59*q^814+15822768506*p^57*q^816+1480988275*p^55*q^818+ 93308546*p^53*q^820+2380962*p^51*q^822+112136*p^49*q^824+610*p^47*q^826+24*p^92 *q^780+26084*p^90*q^782+1957458*p^88*q^784+30572858*p^86*q^786+371257170*p^84*q ^788+4206554854*p^82*q^790+40626163537*p^80*q^792+338220372972*p^78*q^794+ 2451643006290*p^76*q^796+15320302008874*p^74*q^798+74199763796406*p^72*q^800+ 216931300494686*p^70*q^802+266166101327908*p^68*q^804+121208209885176*p^66*q^ 806+26389526071539*p^64*q^808+3916610058774*p^62*q^810+480615009020*p^60*q^812+ 52801604136*p^58*q^814+5100748907*p^56*q^816+441323690*p^54*q^818+19208753*p^52 *q^820+678610*p^50*q^822+5020*p^48*q^824+8*p^46*q^826+5416*p^91*q^780+146780*p^ 89*q^782+7409208*p^87*q^784+106050067*p^85*q^786+1206722986*p^83*q^788+ 12605444055*p^81*q^790+113041886776*p^79*q^792+880268447040*p^77*q^794+ 5963540578812*p^75*q^796+33739782330600*p^73*q^798+133748808093464*p^71*q^800+ 269864483674832*p^69*q^802+204210669360718*p^67*q^804+62531700613732*p^65*q^806 +10957905554118*p^63*q^808+1462335940171*p^61*q^810+169773407066*p^59*q^812+ 17681846975*p^57*q^814+1650547640*p^55*q^816+109662456*p^53*q^818+3091244*p^51* q^820+136618*p^49*q^822+80*p^47*q^824+64*p^94*q^776+172*p^92*q^778+33116*p^90*q ^780+1311342*p^88*q^782+26672976*p^86*q^784+324256006*p^84*q^786+3734406580*p^ 82*q^788+36372650896*p^80*q^790+303761708121*p^78*q^792+2220998239552*p^76*q^ 794+13926685150371*p^74*q^796+68773035676214*p^72*q^798+206587876347443*p^70*q^ 800+267564626837310*p^68*q^802+126924421484072*p^66*q^804+28555314271392*p^64*q ^806+4284804376241*p^62*q^808+530685057584*p^60*q^810+58589981576*p^58*q^812+ 5698039988*p^56*q^814+504949458*p^54*q^816+23886732*p^52*q^818+518393*p^50*q^ 820+14368*p^48*q^822+72*p^46*q^824+952*p^91*q^778+116476*p^89*q^780+7198542*p^ 87*q^782+94015554*p^85*q^784+1075975400*p^83*q^786+11262119614*p^81*q^788+ 101604428981*p^79*q^790+793334419836*p^77*q^792+5417348823367*p^75*q^794+ 30839866317584*p^73*q^796+125566619386394*p^71*q^798+262596712611474*p^69*q^800 +210194394100699*p^67*q^802+66537603550794*p^65*q^804+11955103335278*p^63*q^806 +1606516376556*p^61*q^808+188253196063*p^59*q^810+19671927228*p^57*q^812+ 1840705003*p^55*q^814+131877664*p^53*q^816+4176314*p^51*q^818+187396*p^49*q^820 +212*p^47*q^822+8*p^94*q^774+16*p^92*q^776+36224*p^90*q^778+978622*p^88*q^780+ 22744710*p^86*q^782+295180742*p^84*q^784+3334237540*p^82*q^786+32494896072*p^80 *q^788+273622676468*p^78*q^790+2003997430801*p^76*q^792+12697776595060*p^74*q^ 794+63369510433114*p^72*q^796+197365968736694*p^70*q^798+266789929178643*p^68*q ^800+133359769819164*p^66*q^802+30742882807946*p^64*q^804+4701512138814*p^62*q^ 806+585058138049*p^60*q^808+65128231134*p^58*q^810+6407669127*p^56*q^812+ 581413064*p^54*q^814+28985480*p^52*q^816+545392*p^50*q^818+19458*p^48*q^820+424 *p^93*q^774+1764*p^91*q^776+130614*p^89*q^778+5645774*p^87*q^780+83411582*p^85* q^782+945170410*p^83*q^784+10013925358*p^81*q^786+90994828994*p^79*q^788+ 715778539111*p^77*q^790+4902456773530*p^75*q^792+28281110488531*p^73*q^794+ 117149468301594*p^71*q^796+256408162893881*p^69*q^798+214655481648932*p^67*q^ 800+71019058957200*p^65*q^802+12979092234690*p^63*q^804+1768556677740*p^61*q^ 806+207823062426*p^59*q^808+21884254124*p^57*q^810+2031888920*p^55*q^812+ 152776754*p^53*q^814+5237960*p^51*q^816+131710*p^49*q^818+1128*p^47*q^820+4*p^ 45*q^822+14176*p^90*q^776+603648*p^88*q^778+21611046*p^86*q^780+267314572*p^84* q^782+2971997948*p^82*q^784+29154959384*p^80*q^786+245962809708*p^78*q^788+ 1815050903530*p^76*q^790+11534755364831*p^74*q^792+58606958226098*p^72*q^794+ 187227963161266*p^70*q^796+266762536349436*p^68*q^798+139081010189977*p^66*q^ 800+33197344300300*p^64*q^802+5136979043988*p^62*q^804+645955050270*p^60*q^806+ 72179455086*p^58*q^808+7175382674*p^56*q^810+655886105*p^54*q^812+35198756*p^52 *q^814+794194*p^50*q^816+36922*p^48*q^818+4*p^46*q^820+236*p^93*q^772+576*p^91* q^774+155596*p^89*q^776+4763130*p^87*q^778+72299034*p^85*q^780+837091467*p^83*q ^782+8941854170*p^81*q^784+81680791797*p^79*q^786+644420464906*p^77*q^788+ 4450723197074*p^75*q^790+25811931843596*p^73*q^792+109628386460876*p^71*q^794+ 248343731977928*p^69*q^796+219852773999330*p^67*q^798+75336946478966*p^65*q^800 +14139346061605*p^63*q^802+1942124729094*p^61*q^804+230295831990*p^59*q^806+ 24400607344*p^57*q^808+2281268839*p^55*q^810+185240916*p^53*q^812+6963954*p^51* q^814+98144*p^49*q^816+1864*p^47*q^818+1504*p^92*q^772+12536*p^90*q^774+571514* p^88*q^776+19035324*p^86*q^778+240127820*p^84*q^780+2652092972*p^82*q^782+ 26009221426*p^80*q^784+221383814158*p^78*q^786+1636730871436*p^76*q^788+ 10508502189614*p^74*q^790+53890594052641*p^72*q^792+178143545962626*p^70*q^794+ 264657286512596*p^68*q^796+145524230169616*p^66*q^798+35654682064309*p^64*q^800 +5629973575076*p^62*q^802+710926477672*p^60*q^804+80099152824*p^58*q^806+ 7982918020*p^56*q^808+731851442*p^54*q^810+40653422*p^52*q^812+946784*p^50*q^ 814+34852*p^48*q^816+40*p^46*q^818+14*p^93*q^770+80*p^91*q^772+106982*p^89*q^ 774+3195632*p^87*q^776+63259148*p^85*q^778+747371798*p^83*q^780+7954988608*p^81 *q^782+73113977558*p^79*q^784+581241837120*p^77*q^786+4025117588670*p^75*q^788+ 23642179229008*p^73*q^790+101981556191334*p^71*q^792+241288989140714*p^69*q^794 +223451681753480*p^67*q^796+80147431581334*p^65*q^798+15323070084588*p^63*q^800 +2136741146255*p^61*q^802+254256626026*p^59*q^804+27169771807*p^57*q^806+ 2561870848*p^55*q^808+216360516*p^53*q^810+8568846*p^51*q^812+132216*p^49*q^814 +4316*p^47*q^816+2232*p^92*q^770+8016*p^90*q^772+553880*p^88*q^774+17321072*p^ 86*q^776+217598136*p^84*q^778+2351825288*p^82*q^780+23324177692*p^80*q^782+ 198950932881*p^78*q^784+1481585244318*p^76*q^786+9536713493080*p^74*q^788+ 49752384424400*p^72*q^790+168317917961668*p^70*q^792+263255006902684*p^68*q^794 +151155965295967*p^66*q^796+38412070269374*p^64*q^798+6144075055211*p^62*q^800+ 784641234232*p^60*q^802+88714517105*p^58*q^804+8922591036*p^56*q^806+809670265* p^54*q^808+50436196*p^52*q^810+1440672*p^50*q^812+17724*p^48*q^814+116*p^46*q^ 816+12*p^93*q^768+3136*p^91*q^770+74706*p^89*q^772+2621646*p^87*q^774+56908978* p^85*q^776+664867026*p^83*q^778+7111159138*p^81*q^780+65565644630*p^79*q^782+ 523013480590*p^77*q^784+3651157964932*p^75*q^786+21549532046480*p^73*q^788+ 95173369623918*p^71*q^790+232591460868130*p^69*q^792+227703650533306*p^67*q^794 +84756727818092*p^65*q^796+16660760522981*p^63*q^798+2343905668816*p^61*q^800+ 281375803734*p^59*q^802+30227523448*p^57*q^804+2867406490*p^55*q^806+251621522* p^53*q^808+9962414*p^51*q^810+145458*p^49*q^812+7480*p^47*q^814+512*p^92*q^768+ 1968*p^90*q^770+508072*p^88*q^772+13777008*p^86*q^774+188677316*p^84*q^776+ 2093939092*p^82*q^778+20762966156*p^80*q^780+178900487792*p^78*q^782+ 1335399310833*p^76*q^784+8680827740066*p^74*q^786+45660837137202*p^72*q^788+ 159578990446614*p^70*q^790+259793492418514*p^68*q^792+157480624315048*p^66*q^ 794+41157363618014*p^64*q^796+6724813156076*p^62*q^798+863128945061*p^60*q^800+ 98427538922*p^58*q^802+9946212212*p^56*q^804+912444724*p^54*q^806+62354018*p^52 *q^808+1882462*p^50*q^810+20762*p^48*q^812+264*p^46*q^814+10220*p^91*q^768+ 63980*p^89*q^770+2176674*p^87*q^772+51973860*p^85*q^774+607309334*p^83*q^776+ 6340043806*p^81*q^778+58779241508*p^79*q^780+471769548652*p^77*q^782+ 3301005232860*p^75*q^784+19713497862212*p^73*q^786+88283581552258*p^71*q^788+ 224961099488340*p^69*q^790+230241814374418*p^67*q^792+89871322241280*p^65*q^794 +18024942093494*p^63*q^796+2576836334449*p^61*q^798+310413754704*p^59*q^800+ 33618047994*p^57*q^802+3204758192*p^55*q^804+282238025*p^53*q^806+11665854*p^51 *q^808+233284*p^49*q^810+2318*p^47*q^812+4*p^45*q^814+308*p^92*q^766+5168*p^90* q^768+377758*p^88*q^770+10953690*p^86*q^772+167641888*p^84*q^774+1843218256*p^ 82*q^776+18577558334*p^80*q^778+160376186273*p^78*q^780+1207272194396*p^76*q^ 782+7871736557529*p^74*q^784+42068560316502*p^72*q^786+150213493977499*p^70*q^ 788+257153332612884*p^68*q^790+162843951076338*p^66*q^792+44229326008326*p^64*q ^794+7329129303400*p^62*q^796+952107198076*p^60*q^798+108896280129*p^58*q^800+ 11120620750*p^56*q^802+1014754974*p^54*q^804+75844940*p^52*q^806+2320878*p^50*q ^808+20818*p^48*q^810+994*p^46*q^812+6010*p^91*q^766+25212*p^89*q^768+1917756*p ^87*q^770+46586478*p^85*q^772+539388660*p^83*q^774+5675999632*p^81*q^776+ 52693014450*p^79*q^778+424675619348*p^77*q^780+2993106755971*p^75*q^782+ 17953099367514*p^73*q^784+82178380324710*p^71*q^786+215843429447332*p^69*q^788+ 233478381525196*p^67*q^790+94691978544204*p^65*q^792+19560212267180*p^63*q^794+ 2823759493722*p^61*q^796+343069073751*p^59*q^798+37357162346*p^57*q^800+ 3573554622*p^55*q^802+321175650*p^53*q^804+15274532*p^51*q^806+360892*p^49*q^ 808+3472*p^47*q^810+8*p^45*q^812+28*p^92*q^764+26396*p^90*q^766+352164*p^88*q^ 768+9213638*p^86*q^770+148621668*p^84*q^772+1657608746*p^82*q^774+16557585842*p ^80*q^776+144226562010*p^78*q^778+1087604156624*p^76*q^780+7158067864818*p^74*q ^782+38549857483561*p^72*q^784+141864574771336*p^70*q^786+252444823099676*p^68* q^788+168939436866604*p^66*q^790+47267885192118*p^64*q^792+8011934122192*p^62*q ^794+1047229875753*p^60*q^796+120909831188*p^58*q^798+12421213500*p^56*q^800+ 1147206202*p^54*q^802+90407867*p^52*q^804+2482360*p^50*q^806+26840*p^48*q^808+ 176*p^46*q^810+3452*p^91*q^764+21520*p^89*q^766+1595368*p^87*q^768+38711598*p^ 85*q^770+481170448*p^83*q^772+5031050502*p^81*q^774+47104074914*p^79*q^776+ 382490238526*p^77*q^778+2703419272670*p^75*q^780+16401603042789*p^73*q^782+ 76049681078382*p^71*q^784+207821551547021*p^69*q^786+234863657680730*p^67*q^788 +100078738440110*p^65*q^790+21115939834270*p^63*q^792+3100873215577*p^61*q^794+ 377949981014*p^59*q^796+41426540829*p^57*q^798+3976318116*p^55*q^800+356474248* p^53*q^802+19043354*p^51*q^804+473652*p^49*q^806+2556*p^47*q^808+58*p^45*q^810+ 32544*p^90*q^764+203164*p^88*q^766+7218190*p^86*q^768+135664742*p^84*q^770+ 1478680058*p^82*q^772+14828953056*p^80*q^774+129393436202*p^78*q^776+ 983402647416*p^76*q^778+6487612391698*p^74*q^780+35456819909484*p^72*q^782+ 133113765145326*p^70*q^784+248572879224790*p^68*q^786+173873802833406*p^66*q^ 788+50665172606780*p^64*q^790+8717233472242*p^62*q^792+1154350655526*p^60*q^794 +133682879476*p^58*q^796+13888437766*p^56*q^798+1276304866*p^54*q^800+105152656 *p^52*q^802+3173171*p^50*q^804+57456*p^48*q^806+480*p^46*q^808+1128*p^91*q^762+ 46716*p^89*q^764+1493278*p^87*q^766+34533826*p^85*q^768+427586414*p^83*q^770+ 4489199624*p^81*q^772+42237778691*p^79*q^774+343947574788*p^77*q^776+ 2449670489604*p^75*q^778+14919476940764*p^73*q^780+70601081535132*p^71*q^782+ 198553467358892*p^69*q^784+236923456681608*p^67*q^786+105064107169882*p^65*q^ 788+22876873097241*p^63*q^790+3395621370930*p^61*q^792+417856603920*p^59*q^794+ 46037620106*p^57*q^796+4457802566*p^55*q^798+405782224*p^53*q^800+24934029*p^51 *q^802+555516*p^49*q^804+2330*p^47*q^806+8*p^45*q^808+12*p^92*q^760+23712*p^90* q^762+149226*p^88*q^764+6130548*p^86*q^766+117644994*p^84*q^768+1321358576*p^82 *q^770+13225180486*p^80*q^772+116141946854*p^78*q^774+885386060912*p^76*q^776+ 5894978535276*p^74*q^778+32437105739415*p^72*q^780+125279520257892*p^70*q^782+ 242855759768975*p^68*q^784+179539466293766*p^66*q^786+53990484504652*p^64*q^788 +9514085368490*p^62*q^790+1267983175435*p^60*q^792+148012083028*p^58*q^794+ 15456684355*p^56*q^796+1423005298*p^54*q^798+120048698*p^52*q^800+3914970*p^50* q^802+73890*p^48*q^804+212*p^46*q^806+68*p^91*q^760+97098*p^89*q^762+1126260*p^ 87*q^764+27353454*p^85*q^766+382004546*p^83*q^768+3997015118*p^81*q^770+ 37695337578*p^79*q^772+309770706657*p^77*q^774+2211462768434*p^75*q^776+ 13618692950880*p^73*q^778+65184474248386*p^71*q^780+190318206039768*p^69*q^782+ 237139452757110*p^67*q^784+110609974555889*p^65*q^786+24643859908716*p^63*q^788 +3725658976292*p^61*q^790+460281181464*p^59*q^792+51111248080*p^57*q^794+ 4982323000*p^55*q^796+454452788*p^53*q^798+30181196*p^51*q^800+583608*p^49*q^ 802+6744*p^47*q^804+32*p^45*q^806+14256*p^90*q^760+122240*p^88*q^762+5419540*p^ 86*q^764+108313224*p^84*q^766+1186860602*p^82*q^768+11831545880*p^80*q^770+ 104278433965*p^78*q^772+800102952186*p^76*q^774+5338336466686*p^74*q^776+ 29792044728290*p^72*q^778+117153397230436*p^70*q^780+237913436023432*p^68*q^782 +183952306438081*p^66*q^784+57710397147186*p^64*q^786+10335854225876*p^62*q^788 +1397283951158*p^60*q^790+163479933050*p^58*q^792+17252166070*p^56*q^794+ 1579600102*p^54*q^796+138110514*p^52*q^798+5596770*p^50*q^800+122828*p^48*q^802 +216*p^46*q^804+2*p^93*q^756+308*p^91*q^758+103178*p^89*q^760+830782*p^87*q^762 +22900380*p^85*q^764+335589880*p^83*q^766+3552517538*p^81*q^768+33776848110*p^ 79*q^770+278100810564*p^77*q^772+2002050731311*p^75*q^774+12374275521282*p^73*q ^776+60383942492436*p^71*q^778+181060108963116*p^69*q^780+237973302243814*p^67* q^782+115693870727168*p^65*q^784+26637448606269*p^63*q^786+4073962249520*p^61*q ^788+508316513209*p^59*q^790+56745887164*p^57*q^792+5592281494*p^55*q^794+ 510393538*p^53*q^796+36067108*p^51*q^798+678708*p^49*q^800+8216*p^47*q^802+10*p ^45*q^804+2780*p^90*q^758+200088*p^88*q^760+4727212*p^86*q^762+92667612*p^84*q^ 764+1060416166*p^82*q^766+10561363772*p^80*q^768+93513513760*p^78*q^770+ 720423701738*p^76*q^772+4847977245458*p^74*q^774+27214708775683*p^72*q^776+ 109928423049236*p^70*q^778+231272083782846*p^68*q^780+189020237121072*p^66*q^ 782+61326157305802*p^64*q^784+11261614469128*p^62*q^786+1533905902071*p^60*q^ 788+180988474418*p^58*q^790+19153400720*p^56*q^792+1755656114*p^54*q^794+ 157906632*p^52*q^796+7432338*p^50*q^798+111094*p^48*q^800+444*p^46*q^802+8*p^93 *q^754+32*p^91*q^756+91314*p^89*q^758+649788*p^87*q^760+19095652*p^85*q^762+ 303587592*p^83*q^764+3183376826*p^81*q^766+30163597428*p^79*q^768+250474589344* p^77*q^770+1806492480734*p^75*q^772+11282633679783*p^73*q^774+55622964245076*p^ 71*q^776+172852294964516*p^69*q^778+236925752783566*p^67*q^780+121331481822249* p^65*q^782+28637342087612*p^63*q^784+4465650180510*p^61*q^786+559844551596*p^59 *q^788+62914285540*p^57*q^790+6280155216*p^55*q^792+572895619*p^53*q^794+ 42522912*p^51*q^796+948320*p^49*q^798+20760*p^47*q^800+14*p^45*q^802+28*p^92*q^ 754+3492*p^90*q^756+290922*p^88*q^758+3681158*p^86*q^760+78903854*p^84*q^762+ 941119036*p^82*q^764+9399609652*p^80*q^766+83792341482*p^78*q^768+650042416220* p^76*q^770+4387286106989*p^74*q^772+24956242496458*p^72*q^774+102476660385939*p ^70*q^776+225513215158776*p^68*q^778+192721036134662*p^66*q^780+65350276198992* p^64*q^782+12213988863208*p^62*q^784+1688307721376*p^60*q^786+199563527165*p^58 *q^788+21337428066*p^56*q^790+1948940924*p^54*q^792+176754966*p^52*q^794+ 9232708*p^50*q^796+103016*p^48*q^798+768*p^46*q^800+38076*p^89*q^756+512318*p^ 87*q^758+16869884*p^85*q^760+273469572*p^83*q^762+2846285572*p^81*q^764+ 27072391302*p^79*q^766+224908062254*p^77*q^768+1635353702850*p^75*q^770+ 10244796525076*p^73*q^772+51419306002159*p^71*q^774+163770668293332*p^69*q^776+ 236565845493135*p^67*q^778+126362527536830*p^65*q^780+30884938214677*p^63*q^782 +4876578225288*p^61*q^784+618119826525*p^59*q^786+69812017524*p^57*q^788+ 7040917747*p^55*q^790+631514258*p^53*q^792+51433767*p^51*q^794+1533122*p^49*q^ 796+24176*p^47*q^798+8*p^45*q^800+136*p^92*q^752+1144*p^90*q^754+350300*p^88*q^ 756+3190452*p^86*q^758+66655730*p^84*q^760+835405758*p^82*q^762+8391836879*p^80 *q^764+75092998630*p^78*q^766+584932446122*p^76*q^768+3979692331190*p^74*q^770+ 22770742142699*p^72*q^772+95848851101666*p^70*q^774+218131987131003*p^68*q^776+ 197109539976966*p^66*q^778+69231065083944*p^64*q^780+13286860212680*p^62*q^782+ 1852986492683*p^60*q^784+220893682402*p^58*q^786+23699619573*p^56*q^788+ 2196695042*p^54*q^790+206567488*p^52*q^792+11220762*p^50*q^794+115818*p^48*q^ 796+2032*p^46*q^798+158*p^91*q^752+26134*p^89*q^754+669694*p^87*q^756+13875716* p^85*q^758+239593912*p^83*q^760+2547369210*p^81*q^762+24129438804*p^79*q^764+ 202349113891*p^77*q^766+1474387130470*p^75*q^768+9331992402175*p^73*q^770+ 47276239039288*p^71*q^772+155723649642199*p^69*q^774+234305023657604*p^67*q^776 +132005086048681*p^65*q^778+33118931829872*p^63*q^780+5337178647188*p^61*q^782+ 679737724352*p^59*q^784+77251032691*p^57*q^786+7855063048*p^55*q^788+689947080* p^53*q^790+56772244*p^51*q^792+1973976*p^49*q^794+13480*p^47*q^796+72*p^45*q^ 798+8*p^92*q^750+120*p^90*q^752+249268*p^88*q^754+2221090*p^86*q^756+56676862*p ^84*q^758+751497421*p^82*q^760+7487091352*p^80*q^762+67308242932*p^78*q^764+ 527620514624*p^76*q^766+3600003619068*p^74*q^768+20851362115400*p^72*q^770+ 89121674491813*p^70*q^772+211662151175950*p^68*q^774+199934528152527*p^66*q^776 +73552616666982*p^64*q^778+14382424100788*p^62*q^780+2038265717846*p^60*q^782+ 243734215136*p^58*q^784+26385641062*p^56*q^786+2472019416*p^54*q^788+231113442* p^52*q^790+14595233*p^50*q^792+243312*p^48*q^794+4800*p^46*q^796+1020*p^91*q^ 750+15968*p^89*q^752+906688*p^87*q^754+12392128*p^85*q^756+212334122*p^83*q^758 +2272283648*p^81*q^760+21632673829*p^79*q^762+181571706238*p^77*q^764+ 1334125623579*p^75*q^766+8465336851340*p^73*q^768+43610726744490*p^71*q^770+ 146996451250202*p^69*q^772+232717604500872*p^67*q^774+136900331098688*p^65*q^ 776+35641667947193*p^63*q^778+5821144570670*p^61*q^780+750286229005*p^59*q^782+ 85529277976*p^57*q^784+8792848808*p^55*q^786+760897768*p^53*q^788+69027911*p^51 *q^790+2561148*p^49*q^792+10824*p^47*q^794+72*p^45*q^796+8*p^92*q^748+536*p^90* q^750+157980*p^88*q^752+2017622*p^86*q^754+48094762*p^84*q^756+665795872*p^82*q ^758+6681753645*p^80*q^760+60275528204*p^78*q^762+474338961263*p^76*q^764+ 3263283033866*p^74*q^766+18999165155745*p^72*q^768+83115878499220*p^70*q^770+ 203833176625115*p^68*q^772+203456540677834*p^66*q^774+77654816779340*p^64*q^776 +15618746413394*p^62*q^778+2234019864924*p^60*q^780+269415229380*p^58*q^782+ 29297627828*p^56*q^784+2790031940*p^54*q^786+256710172*p^52*q^788+16492182*p^50 *q^790+343154*p^48*q^792+1492*p^46*q^794+4*p^44*q^796+340*p^91*q^748+3638*p^89* q^750+943410*p^87*q^752+9751532*p^85*q^754+180586464*p^83*q^756+2033616272*p^81 *q^758+19280593136*p^79*q^760+163246548289*p^77*q^762+1202247319980*p^75*q^764+ 7705689725447*p^73*q^766+40025750670708*p^71*q^768+139231981653645*p^69*q^770+ 229342012546704*p^67*q^772+142376135071454*p^65*q^774+38124587213280*p^63*q^776 +6362979775488*p^61*q^778+824830009434*p^59*q^780+94704950135*p^57*q^782+ 9767244104*p^55*q^784+843059811*p^53*q^786+80115564*p^51*q^788+3393813*p^49*q^ 790+26196*p^47*q^792+644*p^45*q^794+4432*p^90*q^748+123892*p^88*q^750+2155986*p ^86*q^752+41713252*p^84*q^754+603622752*p^82*q^756+5981291210*p^80*q^758+ 54023071190*p^78*q^760+427810270218*p^76*q^762+2949913647508*p^74*q^764+ 17378873906640*p^72*q^766+77063066437091*p^70*q^768+196852618378990*p^68*q^770+ 205377589159277*p^66*q^772+82222777718332*p^64*q^774+16875325184077*p^62*q^776+ 2455419091762*p^60*q^778+297158670398*p^58*q^780+32539285142*p^56*q^782+ 3157981940*p^54*q^784+279352346*p^52*q^786+20173454*p^50*q^788+503936*p^48*q^ 790+776*p^46*q^792+144*p^91*q^746+2986*p^89*q^748+725894*p^87*q^750+7937186*p^ 85*q^752+157215814*p^83*q^754+1799909812*p^81*q^756+17239633522*p^79*q^758+ 146342356002*p^77*q^760+1086526038073*p^75*q^762+6983075387560*p^73*q^764+ 36859139757805*p^71*q^766+130951082702070*p^69*q^768+226612283758574*p^67*q^770 +147025971475878*p^65*q^772+40921467197331*p^63*q^774+6927912035604*p^61*q^776+ 910068071779*p^59*q^778+104686514418*p^57*q^780+10919360510*p^55*q^782+ 938181934*p^53*q^784+93206167*p^51*q^786+4167706*p^49*q^788+46114*p^47*q^790+ 120*p^45*q^792+3784*p^90*q^746+48576*p^88*q^748+2484730*p^86*q^750+35823098*p^ 84*q^752+528114584*p^82*q^754+5360186620*p^80*q^756+48393701124*p^78*q^758+ 384439156268*p^76*q^760+2673065795848*p^74*q^762+15817562062785*p^72*q^764+ 71696352228674*p^70*q^766+188694847163500*p^68*q^768+207910869251538*p^66*q^770 +86518303472672*p^64*q^772+18287639242060*p^62*q^774+2688599602848*p^60*q^776+ 328103467484*p^58*q^778+36122852066*p^56*q^780+3544044504*p^54*q^782+303311507* p^52*q^784+24932510*p^50*q^786+681443*p^48*q^788+1772*p^46*q^790+40*p^44*q^792+ 32*p^91*q^744+12796*p^89*q^746+633482*p^87*q^748+6943938*p^85*q^750+133784368*p ^83*q^752+1620479506*p^81*q^754+15369944466*p^79*q^756+131484865262*p^77*q^758+ 978811963090*p^75*q^760+6350243138418*p^73*q^762+33764817958582*p^71*q^764+ 123609790054611*p^69*q^766+222167674953010*p^67*q^768+152229399362610*p^65*q^ 770+43665958891312*p^63*q^772+7563162902011*p^61*q^774+1000191582868*p^59*q^776 +116064548945*p^57*q^778+12113038356*p^55*q^780+1072939478*p^53*q^782+105253440 *p^51*q^784+4939858*p^49*q^786+74568*p^47*q^788+24*p^45*q^790+2*p^94*q^740+1520 *p^90*q^744+30388*p^88*q^746+2378202*p^86*q^748+29612858*p^84*q^750+468995094*p ^82*q^752+4781067910*p^80*q^754+43291686182*p^78*q^756+346408992798*p^76*q^758+ 2414745831949*p^74*q^760+14449760932030*p^72*q^762+66309472963400*p^70*q^764+ 181454748916370*p^68*q^766+208785856222434*p^66*q^768+91277901294644*p^64*q^770 +19720673974789*p^62*q^772+2950948350496*p^60*q^774+361457244988*p^58*q^776+ 39970785958*p^56*q^778+3978365222*p^54*q^780+321191452*p^52*q^782+29684256*p^50 *q^784+863574*p^48*q^786+4344*p^46*q^788+4*p^44*q^790+20460*p^89*q^744+373470*p ^87*q^746+6469758*p^85*q^748+116433030*p^83*q^750+1440973490*p^81*q^752+ 13766608172*p^79*q^754+117893672776*p^77*q^756+884092704042*p^75*q^758+ 5751703470722*p^73*q^760+31042996714864*p^71*q^762+115848122557296*p^69*q^764+ 218459036654821*p^67*q^766+156446231579104*p^65*q^768+46743319846663*p^63*q^770 +8221730482648*p^61*q^772+1102788964107*p^59*q^774+128247568262*p^57*q^776+ 13546084320*p^55*q^778+1218002286*p^53*q^780+117654601*p^51*q^782+6784894*p^49* q^784+134372*p^47*q^786+88*p^45*q^788+872*p^90*q^742+34056*p^88*q^744+2322570*p ^86*q^746+25904628*p^84*q^748+409307792*p^82*q^750+4277648670*p^80*q^752+ 38758772354*p^78*q^754+311119170044*p^76*q^756+2186518272612*p^74*q^758+ 13139630594369*p^72*q^760+61529686504998*p^70*q^762+173163831322052*p^68*q^764+ 210309342683074*p^66*q^766+95689653395781*p^64*q^768+21330167825332*p^62*q^770+ 3228170670021*p^60*q^772+399323484824*p^58*q^774+44375962210*p^56*q^776+ 4442434354*p^54*q^778+354719090*p^52*q^780+36270928*p^50*q^782+978530*p^48*q^ 784+6534*p^46*q^786+36*p^93*q^738+8*p^91*q^740+11860*p^89*q^742+238000*p^87*q^ 744+6394202*p^85*q^746+98144372*p^83*q^748+1284455125*p^81*q^750+12288177270*p^ 79*q^752+105817716310*p^77*q^754+795783699628*p^75*q^756+5224987413766*p^73*q^ 758+28395471353320*p^71*q^760+108978682671589*p^69*q^762+213090864094210*p^67*q ^764+161275896898247*p^65*q^766+49731303151702*p^63*q^768+8960694645256*p^61*q^ 770+1210967463528*p^59*q^772+141784298061*p^57*q^774+14981307312*p^55*q^776+ 1390942920*p^53*q^778+123855048*p^51*q^780+7968686*p^49*q^782+148700*p^47*q^784 +228*p^45*q^786+48*p^90*q^740+68332*p^88*q^742+1825324*p^86*q^744+21271904*p^84 *q^746+355906972*p^82*q^748+3819108898*p^80*q^750+34637099687*p^78*q^752+ 280185365788*p^76*q^754+1974095887849*p^74*q^756+11990679710504*p^72*q^758+ 56790622652743*p^70*q^760+165798005497418*p^68*q^762+210084112260034*p^66*q^764 +100584214889640*p^64*q^766+22949964854423*p^62*q^768+3538799109382*p^60*q^770+ 439806753062*p^58*q^772+49234888814*p^56*q^774+4971557760*p^54*q^776+395082958* p^52*q^778+42693855*p^50*q^780+1529218*p^48*q^782+23096*p^46*q^784+4*p^44*q^786 +9054*p^89*q^740+159020*p^87*q^742+6547614*p^85*q^744+87780164*p^83*q^746+ 1151796108*p^81*q^748+11039064144*p^79*q^750+94901090204*p^77*q^752+ 718663386860*p^75*q^754+4729852351080*p^73*q^756+26060071754799*p^71*q^758+ 101823801243236*p^69*q^760+208456054557976*p^67*q^762+164946303922580*p^65*q^ 764+53098887722187*p^63*q^766+9724675337372*p^61*q^768+1334493429753*p^59*q^770 +156573411372*p^57*q^772+16682494027*p^55*q^774+1575494084*p^53*q^776+129367044 *p^51*q^778+10647538*p^49*q^780+150716*p^47*q^782+240*p^45*q^784+275*p^92*q^736 +188*p^90*q^738+61384*p^88*q^740+1305232*p^86*q^742+18872530*p^84*q^744+ 303982630*p^82*q^746+3386588020*p^80*q^748+30937574032*p^78*q^750+251284456768* p^76*q^752+1785690091092*p^74*q^754+10889089281745*p^72*q^756+52572109864830*p^ 70*q^758+157596089588631*p^68*q^760+210527907199974*p^66*q^762+105030516012991* p^64*q^764+24773321832268*p^62*q^766+3865925845096*p^60*q^768+485627240298*p^58 *q^770+54578408030*p^56*q^772+5546753640*p^54*q^774+451656870*p^52*q^776+ 49508260*p^50*q^778+1827237*p^48*q^780+25796*p^46*q^782+4*p^44*q^784+2160*p^89* q^738+188940*p^87*q^740+6222654*p^85*q^742+73664870*p^83*q^744+1017404952*p^81* q^746+9879192546*p^79*q^748+85139911462*p^77*q^750+646741526608*p^75*q^752+ 4294990914954*p^73*q^754+23807632660470*p^71*q^756+95473230834223*p^69*q^758+ 202391115693968*p^67*q^760+169191633670395*p^65*q^762+56322269046052*p^63*q^764 +10580851599571*p^61*q^766+1463643819924*p^59*q^768+172925649344*p^57*q^770+ 18464298180*p^55*q^772+1774151616*p^53*q^774+135131582*p^51*q^776+12829123*p^49 *q^778+260584*p^47*q^780+2400*p^45*q^782+68*p^92*q^734+24*p^90*q^736+54424*p^88 *q^738+946824*p^86*q^740+17510482*p^84*q^742+268118692*p^82*q^744+3049311126*p^ 80*q^746+27684170669*p^78*q^748+226367776080*p^76*q^750+1611080921075*p^74*q^ 752+9927865376436*p^72*q^754+48408865654571*p^70*q^756+150248702982414*p^68*q^ 758+209242634505556*p^66*q^760+109968207716574*p^64*q^762+26595884318714*p^62*q ^764+4234473948782*p^60*q^766+535145795258*p^58*q^768+60608331754*p^56*q^770+ 6179146827*p^54*q^772+525141864*p^52*q^774+52848702*p^50*q^776+2604002*p^48*q^ 778+17558*p^46*q^780+1162*p^91*q^734+2056*p^89*q^736+220976*p^87*q^738+5177668* p^85*q^740+62997218*p^83*q^742+891043506*p^81*q^744+8796085472*p^79*q^746+ 76195345116*p^77*q^748+583045581328*p^75*q^750+3884092541482*p^73*q^752+ 21819706693026*p^71*q^754+88935907770072*p^69*q^756+197020303532727*p^67*q^758+ 172246372842156*p^65*q^760+59946111049943*p^63*q^762+11462198546036*p^61*q^764+ 1610997142312*p^59*q^766+190658670560*p^57*q^768+20513985929*p^55*q^770+ 1999915794*p^53*q^772+143750324*p^51*q^774+16770224*p^49*q^776+355946*p^47*q^ 778+4916*p^45*q^780+27668*p^88*q^736+673356*p^86*q^738+17155326*p^84*q^740+ 233672574*p^82*q^742+2716894501*p^80*q^744+24867409662*p^78*q^746+203025473183* p^76*q^748+1457446246968*p^74*q^750+9008540958280*p^72*q^752+44729734069488*p^ 70*q^754+142238095652955*p^68*q^756+208569077346674*p^66*q^758+114367745983347* p^64*q^760+28640013591546*p^62*q^762+4618081089347*p^60*q^764+590673609462*p^58 *q^766+67060818440*p^56*q^768+6872008502*p^54*q^770+597158406*p^52*q^772+ 54917230*p^50*q^774+3225713*p^48*q^776+29748*p^46*q^778+92*p^44*q^780+1012*p^91 *q^732+824*p^89*q^734+222094*p^87*q^736+4357640*p^85*q^738+54218108*p^83*q^740+ 777459470*p^81*q^742+7869429344*p^79*q^744+68177353764*p^77*q^746+524517329990* p^75*q^748+3522829062345*p^73*q^750+19901812551586*p^71*q^752+83149723180837*p^ 69*q^754+190348446360410*p^67*q^756+175811654864313*p^65*q^758+63404863580364*p ^63*q^760+12451661645350*p^61*q^762+1766444899828*p^59*q^764+210788461168*p^57* q^766+22821198760*p^55*q^768+2251206489*p^53*q^770+164953322*p^51*q^772+ 20156770*p^49*q^774+510952*p^47*q^776+1388*p^45*q^778+2967*p^90*q^732+15864*p^ 88*q^734+713450*p^86*q^736+15764456*p^84*q^738+201525448*p^82*q^740+2429900652* p^80*q^742+22214865237*p^78*q^744+182777910098*p^76*q^746+1313756514739*p^74*q^ 748+8205794966918*p^72*q^750+41105386369990*p^70*q^752+135110493079304*p^68*q^ 754+206225595684903*p^66*q^756+119240609324376*p^64*q^758+30675966875786*p^62*q ^760+5049545970520*p^60*q^762+649843783633*p^58*q^764+74149146230*p^56*q^766+ 7581270972*p^54*q^768+682446928*p^52*q^770+53210724*p^50*q^772+4262462*p^48*q^ 774+55133*p^46*q^776+694*p^44*q^778+60*p^91*q^730+80*p^89*q^732+176066*p^87*q^ 734+3044326*p^85*q^736+48316380*p^83*q^738+685860738*p^81*q^740+7027712840*p^79 *q^742+61096828104*p^77*q^744+472740536462*p^75*q^746+3185067541392*p^73*q^748+ 18215028034401*p^71*q^750+77230714605436*p^69*q^752+184452627335760*p^67*q^754+ 178051578539620*p^65*q^756+67263834275097*p^63*q^758+13465063426462*p^61*q^760+ 1942513452709*p^59*q^762+232641211780*p^57*q^764+25464180474*p^55*q^766+ 2531268904*p^53*q^768+187933113*p^51*q^770+22907452*p^49*q^772+748882*p^47*q^ 774+2052*p^45*q^776+6264*p^90*q^730+11520*p^88*q^732+711072*p^86*q^734+14865814 *p^84*q^736+175632610*p^82*q^738+2145203888*p^80*q^740+19923620638*p^78*q^742+ 163702520324*p^76*q^744+1187328993802*p^74*q^746+7439202994297*p^72*q^748+ 37901907390170*p^70*q^750+127404897385336*p^68*q^752+204545661537242*p^66*q^754 +123474429350316*p^64*q^756+32959406747842*p^62*q^758+5500438809334*p^60*q^760+ 717076361652*p^58*q^762+81873977133*p^56*q^764+8415466692*p^54*q^766+779726549* p^52*q^768+56663624*p^50*q^770+6102628*p^48*q^772+71900*p^46*q^774+48*p^44*q^ 776+60*p^91*q^728+4786*p^89*q^730+103636*p^87*q^732+2610013*p^85*q^734+43681166 *p^83*q^736+594946872*p^81*q^738+6284435258*p^79*q^740+54703765842*p^77*q^742+ 424999134270*p^75*q^744+2886411637576*p^73*q^746+16596392727922*p^71*q^748+ 71999254120868*p^69*q^750+177382330726078*p^67*q^752+180871075489659*p^65*q^754 +70896678673122*p^63*q^756+14597096138171*p^61*q^758+2127007856836*p^59*q^760+ 257029696174*p^57*q^762+28274635468*p^55*q^764+2805223223*p^53*q^766+215177710* p^51*q^768+22796104*p^49*q^770+795984*p^47*q^772+5886*p^45*q^774+44*p^43*q^776+ 1666*p^90*q^728+2444*p^88*q^730+704106*p^86*q^732+12036100*p^84*q^734+149914339 *p^82*q^736+1906343252*p^80*q^738+17796291537*p^78*q^740+147171509242*p^76*q^ 742+1069859565129*p^74*q^744+6769901759100*p^72*q^746+34773296511261*p^70*q^748 +120566698094372*p^68*q^750+201181117170445*p^66*q^752+128201585236070*p^64*q^ 754+35207790822241*p^62*q^756+6007144415390*p^60*q^758+788674012076*p^58*q^760+ 90513495232*p^56*q^762+9348354660*p^54*q^764+898048244*p^52*q^766+59551741*p^50 *q^768+7960458*p^48*q^770+162189*p^46*q^772+100*p^44*q^774+21004*p^89*q^728+ 89520*p^87*q^730+2311092*p^85*q^732+41762588*p^83*q^734+528163608*p^81*q^736+ 5621308766*p^79*q^738+49064825174*p^77*q^740+383061807754*p^75*q^742+ 2607813960764*p^73*q^744+15168498606277*p^71*q^746+66710753218014*p^69*q^748+ 171072409857271*p^67*q^750+182240266918178*p^65*q^752+74970024364377*p^63*q^754 +15755049273744*p^61*q^756+2336203221979*p^59*q^758+283630434434*p^57*q^760+ 31466411208*p^55*q^762+3114812578*p^53*q^764+248297616*p^51*q^766+23855026*p^49 *q^768+1353948*p^47*q^770+6020*p^45*q^772+976*p^90*q^726+6485*p^88*q^728+517468 *p^86*q^730+9876076*p^84*q^732+130304460*p^82*q^734+1666610506*p^80*q^736+ 15912007086*p^78*q^738+131635934354*p^76*q^740+965915243290*p^74*q^742+ 6131090721345*p^72*q^744+32000804991154*p^70*q^746+113302000022803*p^68*q^748+ 198523181664566*p^66*q^750+132148479282273*p^64*q^752+37742048170080*p^62*q^754 +6531549783639*p^60*q^756+869657757606*p^58*q^758+99875286587*p^56*q^760+ 10434201748*p^54*q^762+1012524435*p^52*q^764+65678194*p^50*q^766+8930732*p^48*q ^768+126562*p^46*q^770+332*p^44*q^772+14636*p^89*q^726+34856*p^87*q^728+2208084 *p^85*q^730+37814520*p^83*q^732+456371951*p^81*q^734+5013987272*p^79*q^736+ 43987308102*p^77*q^738+344169849876*p^75*q^740+2362370164237*p^73*q^742+ 13806215698678*p^71*q^744+62025356668076*p^69*q^746+163820004032498*p^67*q^748+ 184157064620309*p^65*q^750+78738048208976*p^63*q^752+17046529692514*p^61*q^754+ 2555041751654*p^59*q^756+313304823134*p^57*q^758+34802724322*p^55*q^760+ 3423242658*p^53*q^762+290900846*p^51*q^764+23547392*p^49*q^766+2086232*p^47*q^ 768+26844*p^45*q^770+4*p^43*q^772+140*p^90*q^724+42144*p^88*q^726+466358*p^86*q ^728+8431118*p^84*q^730+116334990*p^82*q^732+1480626298*p^80*q^734+14242026856* p^78*q^736+118286335194*p^76*q^738+869989667297*p^74*q^740+5575120184150*p^72*q ^742+29306069038837*p^70*q^744+106828094832888*p^68*q^746+194301024472782*p^66* q^748+136578575640902*p^64*q^750+40209124300007*p^62*q^752+7124335760044*p^60*q ^754+955862893848*p^58*q^756+110487495026*p^56*q^758+11670655137*p^54*q^760+ 1146990046*p^52*q^762+73961292*p^50*q^764+9821138*p^48*q^766+208686*p^46*q^768+ 220*p^44*q^770+8032*p^89*q^724+24528*p^87*q^726+1927632*p^85*q^728+32740162*p^ 83*q^730+398169172*p^81*q^732+4457579534*p^79*q^734+39361176940*p^77*q^736+ 309817531017*p^75*q^738+2132071925240*p^73*q^740+12604560685882*p^71*q^742+ 57324037812426*p^69*q^744+157285156281850*p^67*q^746+184640426223474*p^65*q^748 +82958052983513*p^63*q^750+18360860755578*p^61*q^752+2802738487792*p^59*q^754+ 345593816494*p^57*q^756+38561914802*p^55*q^758+3781332864*p^53*q^760+340187615* p^51*q^762+22820084*p^49*q^764+2781106*p^47*q^766+24700*p^45*q^768+4*p^43*q^770 +62452*p^88*q^724+283684*p^86*q^726+7078440*p^84*q^728+105979374*p^82*q^730+ 1298101957*p^80*q^732+12733012982*p^78*q^734+105935637138*p^76*q^736+ 785170398000*p^74*q^738+5046100657070*p^72*q^740+26929243490358*p^70*q^742+ 100052892640433*p^68*q^744+190744575145614*p^66*q^746+140149932283207*p^64*q^ 748+42977251457118*p^62*q^750+7732554376986*p^60*q^752+1053196861804*p^58*q^754 +121884455527*p^56*q^756+13062082790*p^54*q^758+1273384127*p^52*q^760+84803050* p^50*q^762+10914478*p^48*q^764+390660*p^46*q^766+2552*p^44*q^768+3428*p^89*q^ 722+60276*p^87*q^724+1796280*p^85*q^726+29093028*p^83*q^728+345565678*p^81*q^ 730+3957675018*p^79*q^732+35305634399*p^77*q^734+277981023498*p^75*q^736+ 1930069135350*p^73*q^738+11456487642230*p^71*q^740+53177328998827*p^69*q^742+ 149945644630910*p^67*q^744+185615596896206*p^65*q^746+86817708229938*p^63*q^748 +19828876364498*p^61*q^750+3062450983416*p^59*q^752+381712832539*p^57*q^754+ 42598613050*p^55*q^756+4188189602*p^53*q^758+395152012*p^51*q^760+23947596*p^49 *q^762+3197126*p^47*q^764+20046*p^45*q^766+4*p^92*q^718+52*p^90*q^720+44176*p^ 88*q^722+171088*p^86*q^724+6243200*p^84*q^726+94361494*p^82*q^728+1143572232*p^ 80*q^730+11374724079*p^78*q^732+95101148338*p^76*q^734+707007215752*p^74*q^736+ 4583314915994*p^72*q^738+24622855711940*p^70*q^740+94035436139980*p^68*q^742+ 185768436698090*p^66*q^744+144167329629952*p^64*q^746+45667269816477*p^62*q^748 +8417649897920*p^60*q^750+1155735929200*p^58*q^752+134916895976*p^56*q^754+ 14545053171*p^54*q^756+1406592416*p^52*q^758+100546922*p^50*q^760+10128738*p^48 *q^762+651734*p^46*q^764+5264*p^44*q^766+192*p^89*q^720+153006*p^87*q^722+ 1462814*p^85*q^724+24183915*p^83*q^726+304630832*p^81*q^728+3509394228*p^79*q^ 730+31582870058*p^77*q^732+250123111639*p^75*q^734+1740785925622*p^73*q^736+ 10449755101831*p^71*q^738+49030104605218*p^69*q^740+143391203577400*p^67*q^742+ 185103252081684*p^65*q^744+91112794312520*p^63*q^746+21310512338398*p^61*q^748+ 3355580098348*p^59*q^750+421074488840*p^57*q^752+47052751740*p^55*q^754+ 4693148800*p^53*q^756+455143170*p^51*q^758+24492220*p^49*q^760+4251675*p^47*q^ 762+50564*p^45*q^764+88*p^43*q^766+31417*p^88*q^720+143852*p^86*q^722+5679532*p ^84*q^724+87165756*p^82*q^726+1005426988*p^80*q^728+10168261610*p^78*q^730+ 85255268024*p^76*q^732+637529797358*p^74*q^734+4146444882439*p^72*q^736+ 22585797601900*p^70*q^738+87780240868355*p^68*q^740+181485530194366*p^66*q^742+ 147222302360141*p^64*q^744+48677265913336*p^62*q^746+9123922892692*p^60*q^748+ 1272412681298*p^58*q^750+148900022230*p^56*q^752+16256808458*p^54*q^754+ 1533889278*p^52*q^756+122153606*p^50*q^758+10236007*p^48*q^760+812020*p^46*q^ 762+876*p^44*q^764+64*p^91*q^716+968*p^89*q^718+161656*p^87*q^720+984240*p^85*q ^722+20661344*p^83*q^724+265519950*p^81*q^726+3091773566*p^79*q^728+28261485425 *p^77*q^730+224069980668*p^75*q^732+1574518529277*p^73*q^734+9487811785842*p^71 *q^736+45375650498450*p^69*q^738+136131499188722*p^67*q^740+185179398289154*p^ 65*q^742+94967546087822*p^63*q^744+22962702955666*p^61*q^746+3660465134538*p^59 *q^748+464642053580*p^57*q^750+51898629158*p^55*q^752+5237466710*p^53*q^754+ 517186886*p^51*q^756+26878371*p^49*q^758+4434388*p^47*q^760+104322*p^45*q^762+ 752*p^43*q^764+6656*p^88*q^718+263446*p^86*q^720+5342556*p^84*q^722+76030196*p^ 82*q^724+881916212*p^80*q^726+9077598489*p^78*q^728+76567667668*p^76*q^730+ 573853351529*p^74*q^732+3763170089416*p^72*q^734+20627958199125*p^70*q^736+ 82245109935146*p^68*q^738+175877279320057*p^66*q^740+150728762751148*p^64*q^742 +51557479329013*p^62*q^744+9915044061434*p^60*q^746+1395487188388*p^58*q^748+ 164868523718*p^56*q^750+18002686824*p^54*q^752+1682281278*p^52*q^754+144764520* p^50*q^756+9093336*p^48*q^758+1182555*p^46*q^760+4336*p^44*q^762+8*p^91*q^714+ 92*p^89*q^716+157690*p^87*q^718+748890*p^85*q^720+17586272*p^83*q^722+241448020 *p^81*q^724+2754007192*p^79*q^726+25284054104*p^77*q^728+201630055250*p^75*q^ 730+1419439177688*p^73*q^732+8643749190621*p^71*q^734+41753160160514*p^69*q^736 +129623684849351*p^67*q^738+183696273332544*p^65*q^740+99291983059996*p^63*q^ 742+24624557070236*p^61*q^744+4005865758649*p^59*q^746+512046123978*p^57*q^748+ 57431443859*p^55*q^750+5928495680*p^53*q^752+581496680*p^51*q^754+32642498*p^49 *q^756+4934324*p^47*q^758+173226*p^45*q^760+424*p^90*q^714+8262*p^88*q^716+ 397544*p^86*q^718+4227677*p^84*q^720+66634708*p^82*q^722+767519614*p^80*q^724+ 8044159658*p^78*q^726+68531850111*p^76*q^728+516719683562*p^74*q^730+ 3400636125284*p^72*q^732+18890361158624*p^70*q^734+76558483666406*p^68*q^736+ 170996551034142*p^66*q^738+153159376228913*p^64*q^740+54798091027742*p^62*q^742 +10725276230030*p^60*q^744+1534557263726*p^58*q^746+182056101086*p^56*q^748+ 19928904202*p^54*q^750+1842852992*p^52*q^752+171661634*p^50*q^754+8310873*p^48* q^756+1476272*p^46*q^758+9640*p^44*q^760+48*p^42*q^762+72488*p^87*q^716+592094* p^85*q^718+16185748*p^83*q^720+215488322*p^81*q^722+2425238368*p^79*q^724+ 22666628620*p^77*q^726+180754898384*p^75*q^728+1283531716570*p^73*q^730+ 7842501814574*p^71*q^732+38560540994094*p^69*q^734+122608687101066*p^67*q^736+ 182793289695847*p^65*q^738+103053334145886*p^63*q^740+26475354725004*p^61*q^742 +4362796777094*p^59*q^744+564619927784*p^57*q^746+63330183720*p^55*q^748+ 6664668338*p^53*q^750+633390184*p^51*q^752+40115134*p^49*q^754+4589258*p^47*q^ 756+231229*p^45*q^758+188*p^43*q^760+232*p^90*q^712+2868*p^88*q^714+496627*p^86 *q^716+3528520*p^84*q^718+56841494*p^82*q^720+676648062*p^80*q^722+7178905247*p ^78*q^724+61503518156*p^76*q^726+464549166433*p^74*q^728+3084273395162*p^72*q^ 730+17226188875723*p^70*q^732+71503709084860*p^68*q^734+164956307064895*p^66*q^ 736+156026675912332*p^64*q^738+57859562885292*p^62*q^740+11637679281976*p^60*q^ 742+1681774387445*p^58*q^744+201664174256*p^56*q^746+22015143825*p^54*q^748+ 2053530286*p^52*q^750+205012008*p^50*q^752+8263834*p^48*q^754+1917531*p^46*q^ 756+28988*p^44*q^758+1504*p^89*q^712+48712*p^87*q^714+815908*p^85*q^716+ 14193806*p^83*q^718+193319922*p^81*q^720+2144440388*p^79*q^722+20201385554*p^77 *q^724+162528564165*p^75*q^726+1156253208726*p^73*q^728+7137687142472*p^71*q^ 730+35410399481734*p^69*q^732+116297174603148*p^67*q^734+180436517018888*p^65*q ^736+107282497207906*p^63*q^738+28319770801464*p^61*q^740+4767312566617*p^59*q^ 742+621306114364*p^57*q^744+70101357411*p^55*q^746+7470324634*p^53*q^748+ 687607566*p^51*q^750+48314754*p^49*q^752+3849777*p^47*q^754+346828*p^45*q^756+ 380*p^43*q^758+12*p^90*q^710+296*p^88*q^712+391488*p^86*q^714+2470652*p^84*q^ 716+48837368*p^82*q^718+597421367*p^80*q^720+6367795368*p^78*q^722+55073274079* p^76*q^724+418152417924*p^74*q^726+2785245376705*p^72*q^728+15757717926808*p^70 *q^730+66374546581693*p^68*q^732+159598370504766*p^66*q^734+157771890205342*p^ 64*q^736+61286207355290*p^62*q^738+12565025964851*p^60*q^740+1847477810050*p^58 *q^742+222637554142*p^56*q^744+24321445592*p^54*q^746+2319805014*p^52*q^748+ 234445078*p^50*q^750+9710616*p^48*q^752+2215088*p^46*q^754+36783*p^44*q^756+ 2212*p^89*q^710+33664*p^87*q^712+1097610*p^85*q^714+12773204*p^83*q^716+ 172478527*p^81*q^718+1886118852*p^79*q^720+18077016820*p^77*q^722+145702194620* p^75*q^724+1044701337640*p^73*q^726+6469117125646*p^71*q^728+32641375410987*p^ 69*q^730+109573761563402*p^67*q^732+178624689348025*p^65*q^734+110885019955328* p^63*q^736+30378592177502*p^61*q^738+5184655491626*p^59*q^740+684997048338*p^57 *q^742+77496862998*p^55*q^744+8336025297*p^53*q^746+733176278*p^51*q^748+ 61913726*p^49*q^750+3158504*p^47*q^752+504002*p^45*q^754+2864*p^43*q^756+8*p^90 *q^708+3320*p^88*q^710+242908*p^86*q^712+2232612*p^84*q^714+42780822*p^82*q^716 +528764376*p^80*q^718+5653986308*p^78*q^720+49338718168*p^76*q^722+375607894174 *p^74*q^724+2523620817538*p^72*q^726+14349466621483*p^70*q^728+61834606582030*p ^68*q^730+153259697590301*p^66*q^732+159905558111100*p^64*q^734+64503700052126* p^62*q^736+13604067249690*p^60*q^738+2021780533333*p^58*q^740+246142547150*p^56 *q^742+26750554863*p^54*q^744+2626759278*p^52*q^746+264315432*p^50*q^748+ 11404262*p^48*q^750+1987182*p^46*q^752+55716*p^44*q^754+472*p^89*q^708+7120*p^ 87*q^710+1262612*p^85*q^712+10255772*p^83*q^714+149100206*p^81*q^716+1666132423 *p^79*q^718+16111979046*p^77*q^720+131055125371*p^75*q^722+940635138400*p^73*q^ 724+5883193788898*p^71*q^726+29920048113970*p^69*q^728+103572143667483*p^67*q^ 730+175396553262438*p^65*q^732+114919426222097*p^63*q^734+32414713583152*p^61*q ^736+5656955272835*p^59*q^738+753234843466*p^57*q^740+86048030536*p^55*q^742+ 9283256992*p^53*q^744+801200924*p^51*q^746+75167928*p^49*q^748+2480918*p^47*q^ 750+806856*p^45*q^752+6034*p^43*q^754+10436*p^88*q^708+215512*p^86*q^710+ 2346232*p^84*q^712+38693526*p^82*q^714+478055782*p^80*q^716+5017548102*p^78*q^ 718+44154481016*p^76*q^720+337902021222*p^74*q^722+2277914412713*p^72*q^724+ 13107334805220*p^70*q^726+57236931363441*p^68*q^728+147632922120638*p^66*q^730+ 160850868115729*p^64*q^732+68092315305484*p^62*q^734+14662235707322*p^60*q^736+ 2218504716466*p^58*q^738+271640249177*p^56*q^740+29525464402*p^54*q^742+ 2992554463*p^52*q^744+287103336*p^50*q^746+15451764*p^48*q^748+1900376*p^46*q^ 750+82498*p^44*q^752+96*p^42*q^754+232*p^89*q^706+8732*p^87*q^708+958222*p^85*q ^710+8224898*p^83*q^712+129010100*p^81*q^714+1453336276*p^79*q^716+14354264756* p^77*q^718+117309712384*p^75*q^720+848770028808*p^73*q^722+5326932107752*p^71*q ^724+27527070957881*p^69*q^726+97239014871670*p^67*q^728+172794933711020*p^65*q ^730+118236750553664*p^63*q^732+34679335386754*p^61*q^734+6142840385602*p^59*q^ 736+829783812576*p^57*q^738+95058580760*p^55*q^740+10261095449*p^53*q^742+ 877390722*p^51*q^744+90622948*p^49*q^746+2386040*p^47*q^748+799550*p^45*q^750+ 5508*p^43*q^752+5672*p^88*q^706+83436*p^86*q^708+2892544*p^84*q^710+34259806*p^ 82*q^712+423789412*p^80*q^714+4461752555*p^78*q^716+39575007058*p^76*q^718+ 303673431897*p^74*q^720+2063103328926*p^72*q^722+11926056987897*p^70*q^724+ 53186015772094*p^68*q^726+141126759639321*p^66*q^728+162230572474242*p^64*q^730 +71392367444380*p^62*q^732+15844346023234*p^60*q^734+2424151748875*p^58*q^736+ 299941237800*p^56*q^738+32613688139*p^54*q^740+3385673230*p^52*q^742+305579842* p^50*q^744+20130050*p^48*q^746+1200508*p^46*q^748+204762*p^44*q^750+818*p^42*q^ 752+24*p^89*q^704+29072*p^87*q^706+911368*p^85*q^708+7179641*p^83*q^710+ 112675668*p^81*q^712+1294875832*p^79*q^714+12781130206*p^77*q^716+105405133829* p^75*q^718+763479576802*p^73*q^720+4838568454250*p^71*q^722+25191424914854*p^69 *q^724+91575417309748*p^67*q^726+168803687718702*p^65*q^728+122000660554667*p^ 63*q^730+36905821784596*p^61*q^732+6691430301214*p^59*q^734+912303680040*p^57*q ^736+105675563976*p^55*q^738+11313355496*p^53*q^740+1000556287*p^51*q^742+ 106628294*p^49*q^744+3098188*p^47*q^746+984398*p^45*q^748+7772*p^43*q^750+2784* p^88*q^704+55380*p^86*q^706+2807822*p^84*q^708+28690106*p^82*q^710+375492226*p^ 80*q^712+3934072476*p^78*q^714+35312386534*p^76*q^716+273100606968*p^74*q^718+ 1860436035770*p^72*q^720+10879734506786*p^70*q^722+49121577155930*p^68*q^724+ 135347499278044*p^66*q^726+162339404083901*p^64*q^728+75107223729474*p^62*q^730 +17037721977391*p^60*q^732+2656724803906*p^58*q^734+330412536669*p^56*q^736+ 36059364504*p^54*q^738+3820557692*p^52*q^740+317241674*p^50*q^742+25411870*p^48 *q^744+694298*p^46*q^746+230122*p^44*q^748+260*p^42*q^750+32240*p^87*q^704+ 562344*p^85*q^706+6701624*p^83*q^708+100472990*p^81*q^710+1142423956*p^79*q^712 +11390541397*p^77*q^714+94425731686*p^75*q^716+688500703328*p^73*q^718+ 4378501802258*p^71*q^720+23135372086252*p^69*q^722+85706933426942*p^67*q^724+ 165449316219035*p^65*q^726+124922050011118*p^63*q^728+39384204449133*p^61*q^730 +7252481682784*p^59*q^732+1004050318849*p^57*q^734+116799280752*p^55*q^736+ 12446478543*p^53*q^738+1138127374*p^51*q^740+121334886*p^49*q^742+4486740*p^47* q^744+825786*p^45*q^746+33528*p^43*q^748+52*p^41*q^750+924*p^88*q^702+66328*p^ 86*q^704+2809844*p^84*q^706+25217424*p^82*q^708+328327432*p^80*q^710+3485353096 *p^78*q^712+31618217672*p^76*q^714+245149875798*p^74*q^716+1683900611776*p^72*q ^718+9886558778502*p^70*q^720+45529089342414*p^68*q^722+128859667951402*p^66*q^ 724+162871252257040*p^64*q^726+78450456886497*p^62*q^728+18375667031288*p^60*q^ 730+2900092948360*p^58*q^732+364929665810*p^56*q^734+39950933104*p^54*q^736+ 4279618670*p^52*q^738+338868151*p^50*q^740+32318730*p^48*q^742+535446*p^46*q^ 744+332446*p^44*q^746+352*p^42*q^748+2*p^91*q^698+8*p^89*q^700+20268*p^87*q^702 +353378*p^85*q^704+6924016*p^83*q^706+87223044*p^81*q^708+1022197278*p^79*q^710 +10136898150*p^77*q^712+84710313109*p^75*q^714+619088326046*p^73*q^716+ 3973735292822*p^71*q^718+21137949695016*p^69*q^720+80444277234636*p^67*q^722+ 160864377794542*p^65*q^724+128282731996975*p^63*q^726+41787878134364*p^61*q^728 +7888213901910*p^59*q^730+1101890282142*p^57*q^732+129389761832*p^55*q^734+ 13665626724*p^53*q^736+1311349834*p^51*q^738+129685262*p^49*q^740+5868216*p^47* q^742+453660*p^45*q^744+50428*p^43*q^746+56*p^88*q^700+108316*p^86*q^702+ 2390110*p^84*q^704+20622744*p^82*q^706+287954054*p^80*q^708+3066691474*p^78*q^ 710+28151969226*p^76*q^712+220432263810*p^74*q^714+1517068025385*p^72*q^716+ 9010361832112*p^70*q^718+41953677947499*p^68*q^720+123049839967752*p^66*q^722+ 162169816439682*p^64*q^724+82198497402012*p^62*q^726+19718786821254*p^60*q^728+ 3173521794214*p^58*q^730+402158486345*p^56*q^732+44449215726*p^54*q^734+ 4766758840*p^52*q^736+371082268*p^50*q^738+40489018*p^48*q^740+805702*p^46*q^ 742+431602*p^44*q^744+3004*p^42*q^746+11712*p^87*q^700+253670*p^85*q^702+ 6980766*p^83*q^704+78952420*p^81*q^706+909499538*p^79*q^708+9034947474*p^77*q^ 710+75885425366*p^75*q^712+558021889076*p^73*q^714+3592989710650*p^71*q^716+ 19385363064038*p^69*q^718+75044500354258*p^67*q^720+156879827377603*p^65*q^722+ 130740582301678*p^63*q^724+44463597473059*p^61*q^726+8534214931586*p^59*q^728+ 1212083035870*p^57*q^730+142733479946*p^55*q^732+15024819944*p^53*q^734+ 1502515530*p^51*q^736+133058574*p^49*q^738+7903262*p^47*q^740+199918*p^45*q^742 +65564*p^43*q^744+32*p^90*q^696+256*p^88*q^698+94962*p^86*q^700+1677070*p^84*q^ 702+18749874*p^82*q^704+249890774*p^80*q^706+2708372933*p^78*q^708+25163688806* p^76*q^710+197681390349*p^74*q^712+1371489200726*p^72*q^714+8177676495990*p^70* q^716+38801033528850*p^68*q^718+116671576992633*p^66*q^720+161859914865042*p^64 *q^722+85535117809865*p^62*q^724+21219629748900*p^60*q^726+3458985113141*p^58*q ^728+443854510650*p^56*q^730+49348709742*p^54*q^732+5254809694*p^52*q^734+ 416182038*p^50*q^736+49411116*p^48*q^738+1108891*p^46*q^740+309960*p^44*q^742+ 8818*p^42*q^744+2304*p^87*q^698+284902*p^85*q^700+7110672*p^83*q^702+67210478*p ^81*q^704+805353464*p^79*q^706+8023294144*p^77*q^708+67971388595*p^75*q^710+ 501665078620*p^73*q^712+3258829292382*p^71*q^714+17686110131958*p^69*q^716+ 70236870618833*p^67*q^718+151789800428252*p^65*q^720+133588323405276*p^63*q^722 +47036833577796*p^61*q^724+9263387272615*p^59*q^726+1328614923480*p^57*q^728+ 157920811437*p^55*q^730+16556768886*p^53*q^732+1726951594*p^51*q^734+137476266* p^49*q^736+10179436*p^47*q^738+121812*p^45*q^740+145419*p^43*q^742+104*p^41*q^ 744+4*p^90*q^694+24*p^88*q^696+76936*p^86*q^698+1297392*p^84*q^700+17308662*p^ 82*q^702+223900000*p^80*q^704+2413242718*p^78*q^706+22440694297*p^76*q^708+ 177782138696*p^74*q^710+1234941669001*p^72*q^712+7444303686556*p^70*q^714+ 35672367953856*p^68*q^716+110975377739572*p^66*q^718+160300742984359*p^64*q^720 +89259483152628*p^62*q^722+22722693970014*p^60*q^724+3780566336306*p^58*q^726+ 488987588960*p^56*q^728+54903106832*p^54*q^730+5783295440*p^52*q^732+479340524* p^50*q^734+54311854*p^48*q^736+1669100*p^46*q^738+184114*p^44*q^740+6470*p^42*q ^742+212*p^89*q^694+3140*p^87*q^696+315156*p^85*q^698+5865614*p^83*q^700+ 57925814*p^81*q^702+703484860*p^79*q^704+7085138832*p^77*q^706+60697965562*p^75 *q^708+451494622914*p^73*q^710+2943820214546*p^71*q^712+16192169522289*p^69*q^ 714+65323640058604*p^67*q^716+147356019033644*p^65*q^718+135481499723042*p^63*q ^720+49895559069663*p^61*q^722+10005047979674*p^59*q^724+1459627819022*p^57*q^ 726+174030217176*p^55*q^728+18344382954*p^53*q^730+1947638962*p^51*q^732+ 141240202*p^49*q^734+14361886*p^47*q^736+160939*p^45*q^738+143472*p^43*q^740+ 1040*p^41*q^742+31640*p^86*q^696+911336*p^84*q^698+17550154*p^82*q^700+ 198077152*p^80*q^702+2144781786*p^78*q^704+20087914232*p^76*q^706+159456086313* p^74*q^708+1116232796052*p^72*q^710+6751846150940*p^70*q^712+32927597811742*p^ 68*q^714+104810402621030*p^66*q^716+159202984088422*p^64*q^718+92464182316695*p ^62*q^720+24393348888798*p^60*q^722+4113689775080*p^58*q^724+539220941260*p^56* q^726+60833958444*p^54*q^728+6295258902*p^52*q^730+559263352*p^50*q^732+ 57570986*p^48*q^734+2014120*p^46*q^736+46984*p^44*q^738+29845*p^42*q^740+116*p^ 89*q^692+916*p^87*q^694+314008*p^85*q^696+5210270*p^83*q^698+50414120*p^81*q^ 700+620703806*p^79*q^702+6292224962*p^77*q^704+54355781896*p^75*q^706+ 405745571054*p^73*q^708+2666713403330*p^71*q^710+14754488662602*p^69*q^712+ 60947402050793*p^67*q^714+141886464180688*p^65*q^716+137763944823293*p^63*q^718 +52616577170106*p^61*q^720+10842581432989*p^59*q^722+1598702707322*p^57*q^724+ 192702696060*p^55*q^726+20413360836*p^53*q^728+2209084038*p^51*q^730+152017788* p^49*q^732+18642394*p^47*q^734+294320*p^45*q^736+129913*p^43*q^738+212*p^41*q^ 740+752*p^88*q^692+23516*p^86*q^694+949991*p^84*q^696+16150130*p^82*q^698+ 172947548*p^80*q^700+1901294066*p^78*q^702+17844521466*p^76*q^704+143064341332* p^74*q^706+1003936909348*p^72*q^708+6139377922870*p^70*q^710+30215732944133*p^ 68*q^712+99311008779624*p^66*q^714+156856022195046*p^64*q^716+96105628409732*p^ 62*q^718+26053186163129*p^60*q^720+4487787944154*p^58*q^722+593252677117*p^56*q ^724+67370350146*p^54*q^726+6870903501*p^52*q^728+648556334*p^50*q^730+58581500 *p^48*q^732+2934818*p^46*q^734+18000*p^44*q^736+42408*p^42*q^738+56*p^40*q^740+ 6*p^89*q^690+80*p^87*q^692+211904*p^85*q^694+3675834*p^83*q^696+45512596*p^81*q ^698+548368520*p^79*q^700+5570957284*p^77*q^702+48577541410*p^75*q^704+ 365340695704*p^73*q^706+2407812358506*p^71*q^708+13489544339296*p^69*q^710+ 56543273747742*p^67*q^712+137092174433006*p^65*q^714+138987483435752*p^63*q^716 +55633557883144*p^61*q^718+11686507740836*p^59*q^720+1754440973258*p^57*q^722+ 212430454892*p^55*q^724+22782064238*p^53*q^726+2438832828*p^51*q^728+168387930* p^49*q^730+21590942*p^47*q^732+381648*p^45*q^734+51872*p^43*q^736+3327*p^41*q^ 738+1092*p^88*q^690+13848*p^86*q^692+951720*p^84*q^694+15572106*p^82*q^696+ 152742280*p^80*q^698+1682250187*p^78*q^700+15948611040*p^76*q^702+128161969709* p^74*q^704+906616453260*p^72*q^706+5562178214192*p^70*q^708+27829688950434*p^68 *q^710+93461371251162*p^66*q^712+154965987826458*p^64*q^714+99121397272582*p^62 *q^716+27909970119644*p^60*q^718+4876365663331*p^58*q^720+654089901452*p^56*q^ 722+74494942639*p^54*q^724+7536491766*p^52*q^726+763500544*p^50*q^728+59166332* p^48*q^730+4686422*p^46*q^732+35064*p^44*q^734+55266*p^42*q^736+4*p^89*q^688+ 1582*p^87*q^690+137344*p^85*q^692+3173110*p^83*q^694+41834748*p^81*q^696+ 482091162*p^79*q^698+4947579780*p^77*q^700+43421390097*p^75*q^702+327990644962* p^73*q^704+2179566875237*p^71*q^706+12274602047838*p^69*q^708+52610630445017*p^ 67*q^710+131437352671022*p^65*q^712+140615763491952*p^63*q^714+58459021181804*p ^61*q^716+12640234806587*p^59*q^718+1918208316154*p^57*q^720+234895123153*p^55* q^722+25383940968*p^53*q^724+2672327210*p^51*q^726+193363300*p^49*q^728+ 23842752*p^47*q^730+418056*p^45*q^732+4750*p^43*q^734+8120*p^41*q^736+236*p^88* q^688+2768*p^86*q^690+862302*p^84*q^692+13098938*p^82*q^694+131587541*p^80*q^ 696+1488889616*p^78*q^698+14139516060*p^76*q^700+114972146756*p^74*q^702+ 815185926540*p^72*q^704+5053527292050*p^70*q^706+25493374257955*p^68*q^708+ 88223650637012*p^66*q^710+151932534988449*p^64*q^712+102542422605264*p^62*q^714 +29731426599426*p^60*q^716+5311999267312*p^58*q^718+719054825160*p^56*q^720+ 82451238800*p^54*q^722+8302192105*p^52*q^724+887121002*p^50*q^726+58019584*p^48 *q^728+6398458*p^46*q^730+73512*p^44*q^732+42008*p^42*q^734+142*p^40*q^736+5060 *p^87*q^688+112028*p^85*q^690+2854218*p^83*q^692+39349934*p^81*q^694+431230620* p^79*q^696+4390120462*p^77*q^698+38815167442*p^75*q^700+295055764809*p^73*q^702 +1965905912940*p^71*q^704+11208767698856*p^69*q^706+48671997830846*p^67*q^708+ 126412488625272*p^65*q^710+141165536138426*p^63*q^712+61599588210424*p^61*q^714 +13598820292906*p^59*q^716+2102870297020*p^57*q^718+259017796324*p^55*q^720+ 28299162475*p^53*q^722+2904916158*p^51*q^724+226828928*p^49*q^726+26244026*p^47 *q^728+806810*p^45*q^730+2100*p^43*q^732+13208*p^41*q^734+116*p^88*q^686+3328*p ^86*q^688+625072*p^84*q^690+10733077*p^82*q^692+117301996*p^80*q^694+1304659336 *p^78*q^696+12586684240*p^76*q^698+102819897706*p^74*q^700+735449716718*p^72*q^ 702+4573618416337*p^70*q^704+23440949510248*p^68*q^706+82738851555631*p^66*q^ 708+149339862009430*p^64*q^710+105298860986977*p^62*q^712+31763156092458*p^60*q ^714+5760572836804*p^58*q^716+791814923506*p^56*q^718+90971690620*p^54*q^720+ 9226055092*p^52*q^722+1003320822*p^50*q^724+59567434*p^48*q^726+7631260*p^46*q^ 728+50816*p^44*q^730+5793*p^42*q^732+994*p^40*q^734+2822*p^87*q^686+39856*p^85* q^688+2654826*p^83*q^690+37284578*p^81*q^692+376317836*p^79*q^694+3908270414*p^ 77*q^696+34721175432*p^75*q^698+264815450582*p^73*q^700+1778609895828*p^71*q^ 702+10187523414978*p^69*q^704+45180184899274*p^67*q^706+120658945761728*p^65*q^ 708+142067807624273*p^63*q^710+64498096103126*p^61*q^712+14676653324355*p^59*q^ 714+2296445957094*p^57*q^716+286533834530*p^55*q^718+31458187644*p^53*q^720+ 3142315142*p^51*q^722+278623432*p^49*q^724+26193456*p^47*q^726+1382966*p^45*q^ 728+10456*p^43*q^730+20806*p^41*q^732+12*p^88*q^684+13836*p^86*q^686+578032*p^ 84*q^688+9474030*p^82*q^690+103168994*p^80*q^692+1161658942*p^78*q^694+ 11156516880*p^76*q^696+92109572474*p^74*q^698+661014261982*p^72*q^700+ 4150779749118*p^70*q^702+21431392003022*p^68*q^704+77844916168554*p^66*q^706+ 145662040810543*p^64*q^708+108432678876956*p^62*q^710+33752603036134*p^60*q^712 +6266280633760*p^58*q^714+869409671041*p^56*q^716+100626472842*p^54*q^718+ 10306223578*p^52*q^720+1130734578*p^50*q^722+63078762*p^48*q^724+9534722*p^46*q ^726+89624*p^44*q^728+36*p^42*q^730+1546*p^40*q^732+2*p^91*q^680+1418*p^87*q^ 684+23472*p^85*q^686+2203406*p^83*q^688+32031298*p^81*q^690+334008546*p^79*q^ 692+3448412258*p^77*q^694+30943009916*p^75*q^696+237961899553*p^73*q^698+ 1602714890690*p^71*q^700+9290082521387*p^69*q^702+41696837710476*p^67*q^704+ 115565228952449*p^65*q^706+141884886293262*p^63*q^708+67705644378478*p^61*q^710 +15758175369952*p^59*q^712+2512656758799*p^57*q^714+315794464728*p^55*q^716+ 34874066538*p^53*q^718+3395908910*p^51*q^720+328715852*p^49*q^722+24520854*p^47 *q^724+1908794*p^45*q^726+8860*p^43*q^728+5581*p^41*q^730+60*p^39*q^732+15680*p ^86*q^684+324040*p^84*q^686+8014336*p^82*q^688+95973022*p^80*q^690+1022446221*p ^78*q^692+9938024794*p^76*q^694+82438901513*p^74*q^696+596082046986*p^72*q^698+ 3754584723963*p^70*q^700+19673669880860*p^68*q^702+72757552765864*p^66*q^704+ 142499748394640*p^64*q^706+110796518307050*p^62*q^708+35959837862064*p^60*q^710 +6783534480027*p^58*q^712+956898411228*p^56*q^714+111075164560*p^54*q^716+ 11581724450*p^52*q^718+1237365420*p^50*q^720+74928228*p^48*q^722+11210016*p^46* q^724+197696*p^44*q^726+760*p^42*q^728+6096*p^40*q^730+462*p^87*q^682+30656*p^ 85*q^684+2117878*p^83*q^686+29511216*p^81*q^688+292674898*p^79*q^690+3062816836 *p^77*q^692+27639446897*p^75*q^694+213313437548*p^73*q^696+1448642630943*p^71*q ^698+8434763082942*p^69*q^700+38606669062626*p^67*q^702+109833407323200*p^65*q^ 704+142075132342621*p^63*q^706+70614423114762*p^61*q^708+16973420888406*p^59*q^ 710+2740889654518*p^57*q^712+349028174694*p^55*q^714+38636755386*p^53*q^716+ 3704901082*p^51*q^718+396245980*p^49*q^720+22423806*p^47*q^722+2463880*p^45*q^ 724+5288*p^43*q^726+60*p^39*q^730+36*p^90*q^678+4*p^88*q^680+10486*p^86*q^682+ 192304*p^84*q^684+6879030*p^82*q^686+85333458*p^80*q^688+906084212*p^78*q^690+ 8803740339*p^76*q^692+73789454744*p^74*q^694+535285531491*p^72*q^696+ 3403662220718*p^70*q^698+17960790052389*p^68*q^700+68227403968606*p^66*q^702+ 138300355228175*p^64*q^704+113577101649810*p^62*q^706+38095821204732*p^60*q^708 +7365059582254*p^58*q^710+1048974010178*p^56*q^712+122968985718*p^54*q^714+ 12939154236*p^52*q^716+1346277242*p^50*q^718+89952900*p^48*q^720+11749112*p^46* q^722+369658*p^44*q^724+1568*p^42*q^726+3367*p^40*q^728+28*p^87*q^680+51500*p^ 85*q^682+1652344*p^83*q^684+24981978*p^81*q^686+258445494*p^79*q^688+2702300973 *p^77*q^690+24584845502*p^75*q^692+191506454661*p^73*q^694+1304689683210*p^71*q ^696+7682534097669*p^69*q^698+35557415425234*p^67*q^700+104754866851735*p^65*q^ 702+141146152243830*p^63*q^704+73847222085048*p^61*q^706+18181892500750*p^59*q^ 708+2994880144123*p^57*q^710+384491110952*p^55*q^712+42646642668*p^53*q^714+ 4099001444*p^51*q^716+452783552*p^49*q^718+21114596*p^47*q^720+3482476*p^45*q^ 722+17248*p^43*q^724+16*p^41*q^726+968*p^39*q^728+5848*p^86*q^680+123708*p^84*q ^682+6246522*p^82*q^684+80122164*p^80*q^686+806832760*p^78*q^688+7847637282*p^ 76*q^690+66052072101*p^74*q^692+482521003868*p^72*q^694+3076145869809*p^70*q^ 696+16458832289386*p^68*q^698+63581320925890*p^66*q^700+134620491534464*p^64*q^ 702+115481269019107*p^62*q^704+40476003908944*p^60*q^706+7958782819399*p^58*q^ 708+1153361276602*p^56*q^710+135886561748*p^54*q^712+14538407554*p^52*q^714+ 1429297212*p^50*q^716+115233104*p^48*q^718+11225828*p^46*q^720+484792*p^44*q^ 722+84*p^42*q^724+274*p^89*q^676+118*p^87*q^678+49186*p^85*q^680+1106296*p^83*q ^682+21549488*p^81*q^684+227611336*p^79*q^686+2384158514*p^77*q^688+21897578825 *p^75*q^690+171403031842*p^73*q^692+1178146225094*p^71*q^694+6966017388852*p^69 *q^696+32845137383773*p^67*q^698+99180901398564*p^65*q^700+140602506208017*p^63 *q^702+76701522107998*p^61*q^704+19544241642669*p^59*q^706+3261201904668*p^57*q ^708+424473441632*p^55*q^710+47088656024*p^53*q^712+4573231525*p^51*q^714+ 520876782*p^49*q^716+22238984*p^47*q^718+4391536*p^45*q^720+46472*p^43*q^722+ 148*p^41*q^724+1270*p^39*q^726+1152*p^86*q^678+139278*p^84*q^680+5859674*p^82*q ^682+71464170*p^80*q^684+711062174*p^78*q^686+6954225471*p^76*q^688+59084551542 *p^74*q^690+433135537282*p^72*q^692+2786653139146*p^70*q^694+15005971969636*p^ 68*q^696+59435169884428*p^66*q^698+130056253045051*p^64*q^700+117780367600822*p ^62*q^702+42746398787876*p^60*q^704+8626116794438*p^58*q^706+1262709854312*p^56 *q^708+150543111928*p^54*q^710+16169748617*p^52*q^712+1527613076*p^50*q^714+ 141102538*p^48*q^716+9383790*p^46*q^718+732598*p^44*q^720+828*p^42*q^722+64*p^ 38*q^726+64*p^89*q^674+12*p^87*q^676+38952*p^85*q^678+762064*p^83*q^680+ 18080348*p^81*q^682+205763134*p^79*q^684+2121562167*p^77*q^686+19468319898*p^75 *q^688+153871150031*p^73*q^690+1060221056530*p^71*q^692+6339044231936*p^69*q^ 694+30180904527182*p^67*q^696+94204740663495*p^65*q^698+138985552002350*p^63*q^ 700+79875174655264*p^61*q^702+20889376164420*p^59*q^704+3558305408645*p^57*q^ 706+467281002912*p^55*q^708+52022602871*p^53*q^710+5153061184*p^51*q^712+ 574869910*p^49*q^714+27125038*p^47*q^716+5196770*p^45*q^718+85052*p^43*q^720+ 1148*p^88*q^674+1456*p^86*q^676+162864*p^84*q^678+4560072*p^82*q^680+63817036*p ^80*q^682+626329175*p^78*q^684+6154522774*p^76*q^686+52776999451*p^74*q^688+ 389722671828*p^72*q^690+2515680856983*p^70*q^692+13730065932304*p^68*q^694+ 55226757703018*p^66*q^696+125993439955558*p^64*q^698+119184677063825*p^62*q^700 +45272332399820*p^60*q^702+9303166157315*p^58*q^704+1386885947394*p^56*q^706+ 166252600526*p^54*q^708+17945897074*p^52*q^710+1632414156*p^50*q^712+170369754* p^48*q^714+7534708*p^46*q^716+1093228*p^44*q^718+2772*p^42*q^720+4*p^40*q^722+ 291*p^38*q^724+15756*p^85*q^676+506378*p^83*q^678+16907816*p^81*q^680+187554512 *p^79*q^682+1878861818*p^77*q^684+17372329800*p^75*q^686+137732235728*p^73*q^ 688+957259479718*p^71*q^690+5742652551050*p^69*q^692+27829460577758*p^67*q^694+ 88844801127778*p^65*q^696+137719889847191*p^63*q^698+82618381000358*p^61*q^700+ 22397139346466*p^59*q^702+3868231230472*p^57*q^704+515171166961*p^55*q^706+ 57554523390*p^53*q^708+5855814623*p^51*q^710+621737774*p^49*q^712+36445644*p^47 *q^714+4990194*p^45*q^716+105752*p^43*q^718+12*p^41*q^720+944*p^88*q^672+452*p^ 86*q^674+164422*p^84*q^676+3704232*p^82*q^678+54791950*p^80*q^680+549093662*p^ 78*q^682+5458524769*p^76*q^684+47107855494*p^74*q^686+349556161395*p^72*q^688+ 2276452893682*p^70*q^690+12497695146332*p^68*q^692+51479867241724*p^66*q^694+ 121141757220891*p^64*q^696+120941732098854*p^62*q^698+47663456993556*p^60*q^700 +10066263711090*p^58*q^702+1516876344759*p^56*q^704+184323741208*p^54*q^706+ 19825182166*p^52*q^708+1780039518*p^50*q^710+205887254*p^48*q^712+6252872*p^46* q^714+1686462*p^44*q^716+11652*p^42*q^718+2888*p^87*q^672+11316*p^85*q^674+ 520184*p^83*q^676+14559846*p^81*q^678+169100554*p^79*q^680+1671546966*p^77*q^ 682+15393547312*p^75*q^684+123544875379*p^73*q^686+860712339030*p^71*q^688+ 5219152428972*p^69*q^690+25520515159048*p^67*q^692+84087895545014*p^65*q^694+ 135432851565196*p^63*q^696+85665368774255*p^61*q^698+23884167357292*p^59*q^700+ 4212611348486*p^57*q^702+566170150278*p^55*q^704+63602219961*p^53*q^706+ 6583172126*p^51*q^708+653992742*p^49*q^710+44817244*p^47*q^712+4335048*p^45*q^ 714+176560*p^43*q^716+44*p^41*q^718+37*p^37*q^722+56*p^88*q^670+40*p^86*q^672+ 105988*p^84*q^674+2405478*p^82*q^676+47580518*p^80*q^678+490824826*p^78*q^680+ 4828801630*p^76*q^682+42059895641*p^74*q^684+314308104058*p^72*q^686+ 2053970812011*p^70*q^688+11420452501522*p^68*q^690+47700348372044*p^66*q^692+ 116840977001168*p^64*q^694+121747147703419*p^62*q^696+50305011851844*p^60*q^698 +10836305978593*p^58*q^700+1663709673000*p^56*q^702+203446797038*p^54*q^704+ 21914308916*p^52*q^706+1987497253*p^50*q^708+236367414*p^48*q^710+7828258*p^46* q^712+2001356*p^44*q^714+13192*p^42*q^716+5756*p^87*q^670+6652*p^85*q^672+ 527284*p^83*q^674+13134412*p^81*q^676+154686787*p^79*q^678+1475107930*p^77*q^ 680+13739456111*p^75*q^682+110544662032*p^73*q^684+776473261367*p^71*q^686+ 4724014079846*p^69*q^688+23482587398683*p^67*q^690+79005882315684*p^65*q^692+ 133539117191683*p^63*q^694+88196165335834*p^61*q^696+25550374018288*p^59*q^698+ 4572035635776*p^57*q^700+624055545132*p^55*q^702+70575720840*p^53*q^704+ 7415709701*p^51*q^706+680018462*p^49*q^708+59927322*p^47*q^710+2880178*p^45*q^ 712+351472*p^43*q^714+820*p^41*q^716+56*p^88*q^668+4488*p^86*q^670+69132*p^84*q ^672+2001598*p^82*q^674+41662756*p^80*q^676+433381572*p^78*q^678+4284344777*p^ 76*q^680+37440912146*p^74*q^682+281529668134*p^72*q^684+1856521611162*p^70*q^ 686+10382080028869*p^68*q^688+44339188853066*p^66*q^690+111831684030008*p^64*q^ 692+122939812734104*p^62*q^694+52776643346596*p^60*q^696+11699759745488*p^58*q^ 698+1817342537442*p^56*q^700+225066711380*p^54*q^702+24100059675*p^52*q^704+ 2250222952*p^50*q^706+267336356*p^48*q^708+9562372*p^46*q^710+2187064*p^44*q^ 712+17792*p^42*q^714+2*p^36*q^720+1496*p^87*q^668+1384*p^85*q^670+447860*p^83*q ^672+10051406*p^81*q^674+134297656*p^79*q^676+1306625146*p^77*q^678+12154380746 *p^75*q^680+99104766672*p^73*q^682+697786405524*p^71*q^684+4289299689387*p^69*q ^686+21500099139928*p^67*q^688+74509554304323*p^65*q^690+130643129676430*p^63*q ^692+91053539717272*p^61*q^694+27168573510374*p^59*q^696+4972422591826*p^57*q^ 698+684965618344*p^55*q^700+78190663334*p^53*q^702+8258156370*p^51*q^704+ 711577199*p^49*q^706+73019730*p^47*q^708+1923250*p^45*q^710+551808*p^43*q^712+ 1768*p^41*q^714+18888*p^86*q^668+53960*p^84*q^670+1744378*p^82*q^672+37755708*p ^80*q^674+398244678*p^78*q^676+3812708490*p^76*q^678+33436348791*p^74*q^680+ 253104259790*p^72*q^682+1673996220159*p^70*q^684+9472664497282*p^68*q^686+ 40984785583527*p^66*q^688+107360468213034*p^64*q^690+123113787363247*p^62*q^692 +55511173942560*p^60*q^694+12571211740121*p^58*q^696+1989693001076*p^56*q^698+ 248290887482*p^54*q^700+26670153598*p^52*q^702+2572633364*p^50*q^704+285817216* p^48*q^706+13858578*p^46*q^708+1993810*p^44*q^710+42852*p^42*q^712+16*p^40*q^ 714+904*p^87*q^666+4950*p^85*q^668+327900*p^83*q^670+7867688*p^81*q^672+ 118167184*p^79*q^674+1143631326*p^77*q^676+10787978016*p^75*q^678+88438051220*p ^73*q^680+628558477208*p^71*q^682+3877063430230*p^69*q^684+19744436856260*p^67* q^686+69775765053284*p^65*q^688+128176671354294*p^63*q^690+93302866843210*p^61* q^692+28995029606012*p^59*q^694+5385707937096*p^57*q^696+754676392320*p^55*q^ 698+86714669118*p^53*q^700+9157650376*p^51*q^702+759364264*p^49*q^704+91270556* p^47*q^706+1798534*p^45*q^708+694008*p^43*q^710+932*p^41*q^712+12748*p^86*q^666 +19856*p^84*q^668+1518572*p^82*q^670+33085168*p^80*q^672+356381286*p^78*q^674+ 3385869583*p^76*q^676+29797044254*p^74*q^678+226803909211*p^72*q^680+ 1512616165988*p^70*q^682+8603256066956*p^68*q^684+37999514360930*p^66*q^686+ 102339485037362*p^64*q^688+123652746223276*p^62*q^690+58014754359128*p^60*q^692 +13545529206146*p^58*q^694+2169929259466*p^56*q^696+274061336294*p^54*q^698+ 29432804835*p^52*q^700+2945320746*p^50*q^702+299591436*p^48*q^704+18136502*p^46 *q^706+1154972*p^44*q^708+107216*p^42*q^710+160*p^40*q^712+124*p^87*q^664+36872 *p^85*q^666+287734*p^83*q^668+6613628*p^81*q^670+102895052*p^79*q^672+ 1019010694*p^77*q^674+9564295692*p^75*q^676+79162854411*p^73*q^678+564177556864 *p^71*q^680+3516616840951*p^69*q^682+18042054852882*p^67*q^684+65565635037006*p ^65*q^686+124788407295450*p^63*q^688+95878066660602*p^61*q^690+30750437067782*p ^59*q^692+5849316507329*p^57*q^694+827890202832*p^55*q^696+96342114349*p^53*q^ 698+10102541148*p^51*q^700+841144364*p^49*q^702+107208176*p^47*q^704+2472772*p^ 45*q^706+951364*p^43*q^708+2600*p^41*q^710+p^90*q^660+7272*p^86*q^664+13348*p^ 84*q^666+1232218*p^82*q^668+26838508*p^80*q^670+320030398*p^78*q^672+2997502426 *p^76*q^674+26492709437*p^74*q^676+203624624552*p^72*q^678+1362495472977*p^70*q ^680+7840409396156*p^68*q^682+35040328313713*p^66*q^684+97831893834420*p^64*q^ 686+123221668028877*p^62*q^688+60781455962304*p^60*q^690+14522105072726*p^58*q^ 692+2371616128076*p^56*q^694+301802957234*p^54*q^696+32537931258*p^52*q^698+ 3329931841*p^50*q^700+299617532*p^48*q^702+23893068*p^46*q^704+572520*p^44*q^ 706+135512*p^42*q^708+12*p^40*q^710+52428*p^85*q^664+161568*p^83*q^666+5262156* p^81*q^668+93324994*p^79*q^670+910521438*p^77*q^672+8512832545*p^75*q^674+ 70707819676*p^73*q^676+508114204373*p^71*q^678+3176459856400*p^69*q^680+ 16544096292405*p^67*q^682+61200120462618*p^65*q^684+121800526667280*p^63*q^686+ 97781285808356*p^61*q^688+32720891253787*p^59*q^690+6323802958254*p^57*q^692+ 911192979614*p^55*q^694+106680826414*p^53*q^696+11173112573*p^51*q^698+ 958102722*p^49*q^700+123626926*p^47*q^702+3776538*p^45*q^704+808488*p^43*q^706+ 13484*p^41*q^708+4*p^39*q^710+2992*p^86*q^662+49048*p^84*q^664+1129538*p^82*q^ 666+23498992*p^80*q^668+280764826*p^78*q^670+2645362518*p^76*q^672+23557547454* p^74*q^674+182200400018*p^72*q^676+1229665843860*p^70*q^678+7109677053300*p^68* q^680+32413702075520*p^66*q^682+92853297254695*p^64*q^684+123125845219346*p^62* q^686+63289072347537*p^60*q^688+15617316755124*p^58*q^690+2583117886118*p^56*q^ 692+333232074142*p^54*q^694+36186238772*p^52*q^696+3752775344*p^50*q^698+ 306246524*p^48*q^700+31332242*p^46*q^702+365886*p^44*q^704+262064*p^42*q^706+44 *p^40*q^708+18*p^89*q^658+48*p^87*q^660+38266*p^85*q^662+96744*p^83*q^664+ 4307250*p^81*q^666+78961442*p^79*q^668+817387480*p^77*q^670+7553856206*p^75*q^ 672+63178051257*p^73*q^674+455827692356*p^71*q^676+2878125662341*p^69*q^678+ 15094145904404*p^67*q^680+57333382499578*p^65*q^682+118008104109966*p^63*q^684+ 99978769957884*p^61*q^686+34603917679410*p^59*q^688+6853477949657*p^57*q^690+ 997617524326*p^55*q^692+118078573031*p^53*q^694+12198716758*p^51*q^696+ 1103267928*p^49*q^698+130837460*p^47*q^700+4827306*p^45*q^702+460956*p^43*q^704 +19052*p^41*q^706+168*p^86*q^660+122608*p^84*q^662+843800*p^82*q^664+18735178*p ^80*q^666+251005839*p^78*q^668+2344620636*p^76*q^670+20925931921*p^74*q^672+ 163549934042*p^72*q^674+1106803491250*p^70*q^676+6471923669922*p^68*q^678+ 29818894138066*p^66*q^680+88417753255164*p^64*q^682+122038935334114*p^62*q^684+ 66043880822668*p^60*q^686+16709031161068*p^58*q^688+2819396703106*p^56*q^690+ 367077758203*p^54*q^692+40260727010*p^52*q^694+4207818567*p^50*q^696+318245972* p^48*q^698+40147354*p^46*q^700+649212*p^44*q^702+352468*p^42*q^704+860*p^40*q^ 706+26864*p^85*q^660+88716*p^83*q^662+3770022*p^81*q^664+71255176*p^79*q^666+ 733814588*p^77*q^668+6719329813*p^75*q^670+56383151774*p^73*q^672+410012464312* p^71*q^674+2597944897590*p^69*q^676+13816295741797*p^67*q^678+53346588915468*p^ 65*q^680+114647370823104*p^63*q^682+101456114007652*p^61*q^684+36708014753466*p ^59*q^686+7397104631490*p^57*q^688+1096453387218*p^55*q^690+130417175106*p^53*q ^692+13472313561*p^51*q^694+1274383514*p^49*q^696+134613882*p^47*q^698+7107906* p^45*q^700+150190*p^43*q^702+38408*p^41*q^704+137*p^88*q^656+876*p^86*q^658+ 131744*p^84*q^660+573030*p^82*q^662+15367795*p^80*q^664+217411420*p^78*q^666+ 2071993600*p^76*q^668+18598598852*p^74*q^670+146077291997*p^72*q^672+ 998090166992*p^70*q^674+5862110789407*p^68*q^676+27519904479338*p^66*q^678+ 83579206927272*p^64*q^680+121336858461204*p^62*q^682+68471369323113*p^60*q^684+ 17931096851420*p^58*q^686+3065305967907*p^56*q^688+404979768818*p^54*q^690+ 44838566837*p^52*q^692+4649611452*p^50*q^694+346589588*p^48*q^696+48775992*p^46 *q^698+790998*p^44*q^700+306736*p^42*q^702+2300*p^40*q^704+5576*p^85*q^658+ 197368*p^83*q^660+3216006*p^81*q^662+60209554*p^79*q^664+654217192*p^77*q^666+ 5958630842*p^75*q^668+50260227567*p^73*q^670+367799466054*p^71*q^672+ 2351228460199*p^69*q^674+12589287939690*p^67*q^676+49823124172070*p^65*q^678+ 110543064458972*p^63*q^680+103246554040839*p^61*q^682+38694167784386*p^59*q^684 +8001595240660*p^57*q^686+1199158109224*p^55*q^688+144231610078*p^53*q^690+ 14813727044*p^51*q^692+1474541444*p^49*q^694+132604910*p^47*q^696+9518750*p^45* q^698+88036*p^43*q^700+89680*p^41*q^702+16*p^39*q^704+32*p^88*q^654+80*p^86*q^ 656+130384*p^84*q^658+406744*p^82*q^660+12630082*p^80*q^662+193524300*p^78*q^ 664+1859279020*p^76*q^666+16534104539*p^74*q^668+131140734066*p^72*q^670+ 897467689386*p^70*q^672+5330159999464*p^68*q^674+25267285462145*p^66*q^676+ 79263655099828*p^64*q^678+119637907345362*p^62*q^680+71161240133120*p^60*q^682+ 19139123852996*p^58*q^684+3340682350270*p^56*q^686+445868149614*p^54*q^688+ 49845285310*p^52*q^690+5121494021*p^50*q^692+392009126*p^48*q^694+55388148*p^46 *q^696+1303038*p^44*q^698+159390*p^42*q^700+2392*p^40*q^702+574*p^87*q^654+7300 *p^85*q^656+298286*p^83*q^658+2498902*p^81*q^660+51000074*p^79*q^662+581097488* p^77*q^664+5267960728*p^75*q^666+44744466428*p^73*q^668+330327972967*p^71*q^670 +2120168466912*p^69*q^672+11503438061177*p^67*q^674+46232483758594*p^65*q^676+ 106883629330200*p^63*q^678+104236554518366*p^61*q^680+40925702697842*p^59*q^682 +8619436091766*p^57*q^684+1315706466996*p^55*q^686+159055467716*p^53*q^688+ 16503631752*p^51*q^690+1680646912*p^49*q^692+129197416*p^47*q^694+13552522*p^45 *q^696+113536*p^43*q^698+115880*p^41*q^700+172*p^39*q^702+58624*p^84*q^656+ 382116*p^82*q^658+10712566*p^80*q^660+171204642*p^78*q^662+1650254738*p^76*q^ 664+14720007394*p^74*q^666+117051148143*p^72*q^668+808880857724*p^70*q^670+ 4822996224125*p^68*q^672+23270236283030*p^66*q^674+74658156062471*p^64*q^676+ 118327464774176*p^62*q^678+73449117285137*p^60*q^680+20491859884588*p^58*q^682+ 3624510527516*p^56*q^684+491702800256*p^54*q^686+55372861413*p^52*q^688+ 5575744304*p^50*q^690+458744964*p^48*q^692+60051840*p^46*q^694+1706328*p^44*q^ 696+29602*p^42*q^698+13128*p^40*q^700+472*p^87*q^652+2460*p^85*q^654+389392*p^ 83*q^656+1967416*p^81*q^658+42625706*p^79*q^660+509884114*p^77*q^662+4683041836 *p^75*q^664+39854189170*p^73*q^666+296098881360*p^71*q^668+1917403271546*p^69*q ^670+10466055037766*p^67*q^672+43047657784431*p^65*q^674+102601327373476*p^63*q ^676+105526571880678*p^61*q^678+42997316394712*p^59*q^680+9309739526543*p^57*q^ 682+1437594928204*p^55*q^684+175840299106*p^53*q^686+18340395868*p^51*q^688+ 1916302876*p^49*q^690+129128054*p^47*q^692+17367852*p^45*q^694+189780*p^43*q^ 696+110212*p^41*q^698+32*p^39*q^700+1444*p^86*q^652+41448*p^84*q^654+544664*p^ 82*q^656+8807478*p^80*q^658+148189461*p^78*q^660+1483857458*p^76*q^662+ 13055367000*p^74*q^664+104825519292*p^72*q^666+726533934703*p^70*q^668+ 4379923532592*p^68*q^670+21321280341331*p^66*q^672+70537564249094*p^64*q^674+ 116096834685642*p^62*q^676+75996499366466*p^60*q^678+21817784503316*p^58*q^680+ 3943182444038*p^56*q^682+540293949182*p^54*q^684+61387061718*p^52*q^686+ 6093988132*p^50*q^688+535348976*p^48*q^690+59563814*p^46*q^692+2682940*p^44*q^ 694+14440*p^42*q^696+23916*p^40*q^698+4*p^38*q^700+28*p^87*q^650+256*p^85*q^652 +303136*p^83*q^654+1395448*p^81*q^656+35304252*p^79*q^658+455171644*p^77*q^660+ 4149993123*p^75*q^662+35471144642*p^73*q^664+265886901670*p^71*q^666+ 1727569265486*p^69*q^668+9552329162608*p^67*q^670+39838572581906*p^65*q^672+ 98742016901613*p^63*q^674+106014389758612*p^61*q^676+45309123878115*p^59*q^678+ 10008793274976*p^57*q^680+1574773890537*p^55*q^682+194134707994*p^53*q^684+ 20523125326*p^51*q^686+2127954588*p^49*q^688+137482608*p^47*q^690+21983352*p^45 *q^692+271480*p^43*q^694+34772*p^41*q^696+936*p^39*q^698+2916*p^86*q^650+28044* p^84*q^652+791176*p^82*q^654+7549478*p^80*q^656+130345398*p^78*q^658+1313949558 *p^76*q^660+11623820892*p^74*q^662+93469665252*p^72*q^664+654293031694*p^70*q^ 666+3958593174054*p^68*q^668+19598960705444*p^66*q^670+66188641517620*p^64*q^ 672+114231241933918*p^62*q^674+78089255813323*p^60*q^676+23304152339574*p^58*q^ 678+4272019705522*p^56*q^680+595509846752*p^54*q^682+67867881214*p^52*q^684+ 6700339480*p^50*q^686+636503346*p^48*q^688+57990280*p^46*q^690+3974244*p^44*q^ 692+19632*p^42*q^694+41344*p^40*q^696+28*p^87*q^648+2440*p^85*q^650+194496*p^83 *q^652+1330390*p^81*q^654+29013328*p^79*q^656+396111395*p^77*q^658+3688405476*p ^75*q^660+31538377103*p^73*q^662+238003152356*p^71*q^664+1560189868569*p^69*q^ 666+8677290242176*p^67*q^668+36999527259763*p^65*q^670+94364848880344*p^63*q^ 672+106775969804540*p^61*q^674+47445729550772*p^59*q^676+10787791710606*p^57*q^ 678+1716923851188*p^55*q^680+214530744783*p^53*q^682+22918776528*p^51*q^684+ 2327149813*p^49*q^686+153252144*p^47*q^688+24327860*p^45*q^690+358038*p^43*q^ 692+3024*p^41*q^694+2768*p^39*q^696+748*p^86*q^648+5912*p^84*q^650+919002*p^82* q^652+5695140*p^80*q^654+110244418*p^78*q^656+1175439318*p^76*q^658+10317060484 *p^74*q^660+83616919554*p^72*q^662+587455367167*p^70*q^664+3592105287406*p^68*q ^666+17925313304345*p^66*q^668+62329088058804*p^64*q^670+111503951547331*p^62*q ^672+80418506138368*p^60*q^674+24745476682901*p^58*q^676+4638724389040*p^56*q^ 678+653923431604*p^54*q^680+75071328514*p^52*q^682+7373749194*p^50*q^684+ 751166942*p^48*q^686+52433380*p^46*q^688+5816416*p^44*q^690+43446*p^42*q^692+ 26976*p^40*q^694+16*p^38*q^696+10012*p^85*q^648+172840*p^83*q^650+1496438*p^81* q^652+24926752*p^79*q^654+355423380*p^77*q^656+3291195168*p^75*q^658+ 28086345366*p^73*q^660+213570555969*p^71*q^662+1404756751706*p^69*q^664+ 7907575293633*p^67*q^666+34146702485590*p^65*q^668+90426550621201*p^63*q^670+ 106698374029768*p^61*q^672+49815729012443*p^59*q^674+11579401170284*p^57*q^676+ 1878637623678*p^55*q^678+236785049054*p^53*q^680+25638807109*p^51*q^682+ 2552217982*p^49*q^684+180425632*p^47*q^686+27417850*p^45*q^688+674036*p^43*q^ 690+1160*p^41*q^692+7872*p^39*q^694+452*p^86*q^646+6419*p^84*q^648+712352*p^82* q^650+4686760*p^80*q^652+93018204*p^78*q^654+1028905440*p^76*q^656+9142119926*p ^74*q^658+74352912594*p^72*q^660+528190126046*p^70*q^662+3242807981227*p^68*q^ 664+16444213565238*p^66*q^666+58285530059365*p^64*q^668+109188969593864*p^62*q^ 670+82243658594744*p^60*q^672+26361450406798*p^58*q^674+5015375748827*p^56*q^ 676+719242393230*p^54*q^678+82878329871*p^52*q^680+8211929660*p^50*q^682+ 849317294*p^48*q^684+49911668*p^46*q^686+7339708*p^44*q^688+32724*p^42*q^690+ 3212*p^40*q^692+184*p^38*q^694+6432*p^85*q^646+66478*p^83*q^648+1927047*p^81*q^ 650+20220254*p^79*q^652+309504556*p^77*q^654+2937924782*p^75*q^656+25017524731* p^73*q^658+191074149002*p^71*q^660+1268109139405*p^69*q^662+7176227980070*p^67* q^664+31636567681193*p^65*q^666+86037237400746*p^63*q^668+106928892693522*p^61* q^670+51951394791770*p^59*q^672+12454568179550*p^57*q^674+2045258871010*p^55*q^ 676+261755929743*p^53*q^678+28474686438*p^51*q^680+2748194785*p^49*q^682+ 224052420*p^47*q^684+26214260*p^45*q^686+1086990*p^43*q^688+5700*p^41*q^690+ 11648*p^39*q^692+62*p^86*q^644+22296*p^84*q^646+692668*p^82*q^648+4136744*p^80* q^650+78418710*p^78*q^652+917934086*p^76*q^654+8122814009*p^74*q^656+ 66425124574*p^72*q^658+473971656749*p^70*q^660+2938269087624*p^68*q^662+ 15015490770934*p^66*q^664+54688689959046*p^64*q^666+106047842141313*p^62*q^668+ 84310294130078*p^60*q^670+27916432556417*p^58*q^672+5438930406564*p^56*q^674+ 788649085812*p^54*q^676+91762440986*p^52*q^678+9212790863*p^50*q^680+968288518* p^48*q^682+49618018*p^46*q^684+9583522*p^44*q^686+80634*p^42*q^688+28*p^40*q^ 690+640*p^38*q^692+3636*p^85*q^644+44722*p^83*q^646+1899612*p^81*q^648+16558460 *p^79*q^650+270992368*p^77*q^652+2611360835*p^75*q^654+22225992120*p^73*q^656+ 171150867189*p^71*q^658+1140166871666*p^69*q^660+6530756782986*p^67*q^662+ 29131601816076*p^65*q^664+82103093018864*p^63*q^666+106288946804280*p^61*q^668+ 54345941854275*p^59*q^670+13337192274396*p^57*q^672+2232594979540*p^55*q^674+ 288809062738*p^53*q^676+31599771954*p^51*q^678+2980173376*p^49*q^680+267958910* p^47*q^682+23591966*p^45*q^684+1634332*p^43*q^686+3650*p^41*q^688+2860*p^39*q^ 690+4*p^37*q^692+28110*p^84*q^644+426328*p^82*q^646+4075024*p^80*q^648+65512850 *p^78*q^650+808709946*p^76*q^652+7218762534*p^74*q^654+59106047134*p^72*q^656+ 426006613088*p^70*q^658+2650906572165*p^68*q^660+13750187346942*p^66*q^662+ 50988419589966*p^64*q^664+103315675929966*p^62*q^666+85791699640140*p^60*q^668+ 29657430370886*p^58*q^670+5869570340173*p^56*q^672+866712944472*p^54*q^674+ 101272632740*p^52*q^676+10378254910*p^50*q^678+1064453546*p^48*q^680+57839474*p ^46*q^682+11398800*p^44*q^684+146040*p^42*q^686+424*p^40*q^688+2720*p^38*q^690+ 1496*p^85*q^642+47100*p^83*q^644+1987816*p^81*q^646+14224180*p^79*q^648+ 233856204*p^77*q^650+2315699748*p^75*q^652+19784238956*p^73*q^654+152816136352* p^71*q^656+1028231863804*p^69*q^658+5918073570562*p^67*q^660+26919863854623*p^ 65*q^662+77808078073466*p^63*q^664+105965142303682*p^61*q^666+56449371740090*p^ 59*q^668+14319505489640*p^57*q^670+2427258543140*p^55*q^672+318952419883*p^53*q ^674+34992016868*p^51*q^676+3250363862*p^49*q^678+322870018*p^47*q^680+19724012 *p^45*q^682+2246168*p^43*q^684+5478*p^41*q^686+12*p^37*q^690+24*p^86*q^640+ 19352*p^84*q^642+275489*p^82*q^644+4187628*p^80*q^646+53560774*p^78*q^648+ 715049314*p^76*q^650+6432102122*p^74*q^652+52725966486*p^72*q^654+381923426013* p^70*q^656+2399767663690*p^68*q^658+12534035923739*p^66*q^660+47690530896284*p^ 64*q^662+99885318287785*p^62*q^664+87509233103186*p^60*q^666+31309019394343*p^ 58*q^668+6353705612034*p^56*q^670+948185761691*p^54*q^672+112207775444*p^52*q^ 674+11620044966*p^50*q^676+1156295836*p^48*q^678+69892320*p^46*q^680+11579694*p ^44*q^682+269088*p^42*q^684+612*p^40*q^686+1456*p^38*q^688+84*p^85*q^640+79776* p^83*q^642+1697158*p^81*q^644+11893312*p^79*q^646+199851878*p^77*q^648+ 2059807054*p^75*q^650+17549044550*p^73*q^652+136777752792*p^71*q^654+ 923843848452*p^69*q^656+5379450003188*p^67*q^658+24735286683304*p^65*q^660+ 73935559333446*p^63*q^662+104799691017182*p^61*q^664+58798791058683*p^59*q^666+ 15300721577558*p^57*q^668+2645589991795*p^55*q^670+351687273218*p^53*q^672+ 38706279400*p^51*q^674+3619663298*p^49*q^676+380015181*p^47*q^678+17194014*p^45 *q^680+3459936*p^43*q^682+14930*p^41*q^684+8*p^39*q^686+308*p^37*q^688+13536*p^ 84*q^640+190088*p^82*q^642+4480722*p^80*q^644+46565490*p^78*q^646+634242418*p^ 76*q^648+5718785946*p^74*q^650+46950770067*p^72*q^652+342845870968*p^70*q^654+ 2162518577647*p^68*q^656+11460947904292*p^66*q^658+44318265968745*p^64*q^660+ 96840494956772*p^62*q^662+88620341941757*p^60*q^664+33159938050518*p^58*q^666+ 6845606374384*p^56*q^668+1040569324232*p^54*q^670+124045994222*p^52*q^672+ 13057991594*p^50*q^674+1230920507*p^48*q^676+88488292*p^46*q^678+11010460*p^44* q^680+369080*p^42*q^682+128*p^40*q^684+468*p^85*q^638+71644*p^83*q^640+1223284* p^81*q^642+10624490*p^79*q^644+165229094*p^77*q^646+1808148720*p^75*q^648+ 15603704865*p^73*q^650+121854539590*p^71*q^652+832270938019*p^69*q^654+ 4868385359074*p^67*q^656+22807113329049*p^65*q^658+69796854184004*p^63*q^660+ 103933193938409*p^61*q^662+60826737018658*p^59*q^664+16389407309169*p^57*q^666+ 2870178336336*p^55*q^668+387815626690*p^53*q^670+42694483216*p^51*q^672+ 4033539786*p^49*q^674+433539526*p^47*q^676+17165464*p^45*q^678+4117918*p^43*q^ 680+29162*p^41*q^682+72*p^39*q^684+420*p^37*q^686+2788*p^84*q^638+201596*p^82*q ^640+4639968*p^80*q^642+38628894*p^78*q^644+557939316*p^76*q^646+5106377365*p^ 74*q^648+41872196424*p^72*q^650+307205445227*p^70*q^652+1955876554038*p^68*q^ 654+10431437335690*p^66*q^656+41338739538338*p^64*q^658+93173252223894*p^62*q^ 660+89933314137144*p^60*q^662+34897714255017*p^58*q^664+7396022365836*p^56*q^ 666+1136974769266*p^54*q^668+137572922630*p^52*q^670+14532234125*p^50*q^672+ 1321140624*p^48*q^674+111750143*p^46*q^676+8449598*p^44*q^678+701508*p^42*q^680 +1128*p^40*q^682+12*p^36*q^686+40*p^85*q^636+67640*p^83*q^638+950912*p^81*q^640 +10021293*p^79*q^642+142036822*p^77*q^644+1613830818*p^75*q^646+13861523604*p^ 73*q^648+108981269576*p^71*q^650+747218660314*p^69*q^652+4419729478739*p^67*q^ 654+20907634430160*p^65*q^656+66071942896682*p^63*q^658+102251385781376*p^61*q^ 660+63085171030625*p^59*q^662+17474841101386*p^57*q^664+3123714587363*p^55*q^ 666+426886055006*p^53*q^668+47279245036*p^51*q^670+4591931938*p^49*q^672+ 483584628*p^47*q^674+20039900*p^45*q^676+5082262*p^43*q^678+50608*p^41*q^680+ 4104*p^84*q^636+212260*p^82*q^638+3950451*p^80*q^640+32894364*p^78*q^642+ 478447748*p^76*q^644+4509940720*p^74*q^646+37183831777*p^72*q^648+275233476758* p^70*q^650+1760698885317*p^68*q^652+9521198690032*p^66*q^654+38304894230765*p^ 64*q^656+89932242052772*p^62*q^658+90607395104616*p^60*q^660+36836512527338*p^ 58*q^662+7955108503361*p^56*q^664+1245416125408*p^54*q^666+152141025393*p^52*q^ 668+16137739460*p^50*q^670+1409867454*p^48*q^672+137233422*p^46*q^674+6549384*p ^44*q^676+971468*p^42*q^678+1620*p^40*q^680+4*p^38*q^682+64*p^36*q^684+29756*p^ 83*q^636+656598*p^81*q^638+10414284*p^79*q^640+119530130*p^77*q^642+1430742298* p^75*q^644+12357239682*p^73*q^646+97132429346*p^71*q^648+672795981114*p^69*q^ 650+3996240120030*p^67*q^652+19240009358850*p^65*q^654+62132254045130*p^63*q^ 656+100902815466041*p^61*q^658+64956306846354*p^59*q^660+18675169439661*p^57*q^ 662+3382739237586*p^55*q^664+469943016519*p^53*q^666+52194498050*p^51*q^668+ 5191389808*p^49*q^670+521688464*p^47*q^672+26482048*p^45*q^674+4657786*p^43*q^ 676+92304*p^41*q^678+40*p^39*q^680+1272*p^84*q^634+223088*p^82*q^636+3566404*p^ 80*q^638+27979242*p^78*q^640+411575938*p^76*q^642+4007207596*p^74*q^644+ 33134149548*p^72*q^646+246248705684*p^70*q^648+1590337493312*p^68*q^650+ 8654074712632*p^66*q^652+35620140999250*p^64*q^654+86126926161752*p^62*q^656+ 91502034848256*p^60*q^658+38634285637151*p^58*q^660+8579152016426*p^56*q^662+ 1359026739986*p^54*q^664+168841569584*p^52*q^666+17867149442*p^50*q^668+ 1549901940*p^48*q^670+166932326*p^46*q^672+4947962*p^44*q^674+1533388*p^42*q^ 676+6140*p^40*q^678+23736*p^83*q^634+654580*p^81*q^636+9861966*p^79*q^638+ 101835414*p^77*q^640+1267782690*p^75*q^642+10982827124*p^73*q^644+86769087532*p ^71*q^646+603311174288*p^69*q^648+3623776903058*p^67*q^650+17605156821612*p^65* q^652+58600778282188*p^63*q^654+98756962361460*p^61*q^656+67074940682917*p^59*q ^658+19857696324148*p^57*q^660+3675403370886*p^55*q^662+516304965364*p^53*q^664 +57846534338*p^51*q^666+5864671050*p^49*q^668+552477150*p^47*q^670+34200508*p^ 45*q^672+3865308*p^43*q^674+156696*p^41*q^676+36*p^39*q^678+4*p^35*q^682+128*p^ 84*q^632+162132*p^82*q^634+2536368*p^80*q^636+25436996*p^78*q^638+350906484*p^ 76*q^640+3548369654*p^74*q^642+29414444752*p^72*q^644+220385140504*p^70*q^646+ 1430691700114*p^68*q^648+7885823191712*p^66*q^650+32923166442073*p^64*q^652+ 82744848956028*p^62*q^654+91698932970336*p^60*q^656+40645050418212*p^58*q^658+ 9209639815919*p^56*q^660+1485864159018*p^54*q^662+186519039428*p^52*q^664+ 19764970976*p^50*q^666+1741378418*p^48*q^668+192767394*p^46*q^670+5483514*p^44* q^672+1889376*p^42*q^674+8086*p^40*q^676+20*p^85*q^630+15440*p^83*q^632+614862* p^81*q^634+9821094*p^79*q^636+86613336*p^77*q^638+1109026530*p^75*q^640+ 9777319904*p^73*q^642+77276730512*p^71*q^644+542742685957*p^69*q^646+ 3272279286642*p^67*q^648+16167221689628*p^65*q^650+54919853750720*p^63*q^652+ 96953326940513*p^61*q^654+68748144584838*p^59*q^656+21171933546558*p^57*q^658+ 3973649425500*p^55*q^660+568063158216*p^53*q^662+64125563586*p^51*q^664+ 6579671262*p^49*q^666+571334260*p^47*q^668+45956040*p^45*q^670+2543996*p^43*q^ 672+281616*p^41*q^674+464*p^39*q^676+108*p^84*q^630+109980*p^82*q^632+2210736*p ^80*q^634+23318090*p^78*q^636+298582336*p^76*q^638+3156338459*p^74*q^640+ 26198843864*p^72*q^642+196910260247*p^70*q^644+1290938615460*p^68*q^646+ 7157373314242*p^66*q^648+30530588424866*p^64*q^650+78910604027147*p^62*q^652+ 92123115864864*p^60*q^654+42463436061402*p^58*q^656+9915289300300*p^56*q^658+ 1618090767476*p^54*q^660+206349342156*p^52*q^662+21737756619*p^50*q^664+ 1977642538*p^48*q^666+217685850*p^46*q^668+6719524*p^44*q^670+1892058*p^42*q^ 672+17916*p^40*q^674+3036*p^83*q^630+570968*p^81*q^632+8336612*p^79*q^634+ 73411732*p^77*q^636+970187331*p^75*q^638+8668933532*p^73*q^640+68958652533*p^71 *q^642+486222000078*p^69*q^644+2964271648702*p^67*q^646+14765771530934*p^65*q^ 648+51613834890225*p^63*q^650+94434933363720*p^61*q^652+70646768003525*p^59*q^ 654+22454989676594*p^57*q^656+4309720533733*p^55*q^658+623133427756*p^53*q^660+ 71408259767*p^51*q^662+7375012516*p^49*q^664+605606191*p^47*q^666+58061802*p^45 *q^668+1571974*p^43*q^670+509654*p^41*q^672+686*p^39*q^674+312*p^84*q^628+ 101416*p^82*q^630+1900616*p^80*q^632+22817432*p^78*q^634+257912046*p^76*q^636+ 2798911680*p^74*q^638+23305997079*p^72*q^640+176186915284*p^70*q^642+ 1160128055298*p^68*q^644+6514115672878*p^66*q^646+28144149033160*p^64*q^648+ 75468888113588*p^62*q^650+91853476535700*p^60*q^652+44502139232418*p^58*q^654+ 10622044508662*p^56*q^656+1766901129388*p^54*q^658+227741073042*p^52*q^660+ 23998434628*p^50*q^662+2261167660*p^48*q^664+234522642*p^46*q^666+9713910*p^44* q^668+1679352*p^42*q^670+29128*p^40*q^672+8*p^38*q^674+2308*p^83*q^628+416148*p ^81*q^630+7029244*p^79*q^632+63622491*p^77*q^634+829314636*p^75*q^636+ 7690676964*p^73*q^638+61266312122*p^71*q^640+436428334543*p^69*q^642+ 2673388586936*p^67*q^644+13533556335752*p^65*q^646+48204341994766*p^63*q^648+ 92250453629772*p^61*q^650+72078579383954*p^59*q^652+23876279120768*p^57*q^654+ 4652152031442*p^55*q^656+684457378510*p^53*q^658+79144141672*p^51*q^660+ 8190067523*p^49*q^662+649819100*p^47*q^664+71147614*p^45*q^666+1268654*p^43*q^ 668+602762*p^41*q^670+1276*p^39*q^672+32*p^84*q^626+35977*p^82*q^628+1682160*p^ 80*q^630+21727682*p^78*q^632+217493124*p^76*q^634+2486453563*p^74*q^636+ 20777879350*p^72*q^638+157344807278*p^70*q^640+1046433085444*p^68*q^642+ 5904673335116*p^66*q^644+26041429082644*p^64*q^646+71669527706952*p^62*q^648+ 91786866907726*p^60*q^650+46316087371031*p^58*q^652+11408900831616*p^56*q^654+ 1920100607913*p^54*q^656+251508830872*p^52*q^658+26534300261*p^50*q^660+ 2573373802*p^48*q^662+243179570*p^46*q^664+13787500*p^44*q^666+950118*p^42*q^ 668+90152*p^40*q^670+72*p^38*q^672+2238*p^83*q^626+432272*p^81*q^628+6250938*p^ 79*q^630+56689622*p^77*q^632+725350295*p^75*q^634+6832376942*p^73*q^636+ 54652105973*p^71*q^638+390724554418*p^69*q^640+2418466671043*p^67*q^642+ 12336710734064*p^65*q^644+45153881282809*p^63*q^646+89390488394500*p^61*q^648+ 73711575890410*p^59*q^650+25253211979532*p^57*q^652+5038990592336*p^55*q^654+ 750093317416*p^53*q^656+88172835341*p^51*q^658+9040272522*p^49*q^660+734758182* p^47*q^662+85647586*p^45*q^664+1555384*p^43*q^666+778144*p^41*q^668+1590*p^39*q ^670+24*p^84*q^624+24216*p^82*q^626+1339170*p^80*q^628+19212602*p^78*q^630+ 186403480*p^76*q^632+2172627728*p^74*q^634+18416785025*p^72*q^636+140489663464* p^70*q^638+938953258037*p^68*q^640+5365681651830*p^66*q^642+23946237469446*p^64 *q^644+68271026888210*p^62*q^646+91049472463184*p^60*q^648+48345087317922*p^58* q^650+12200603585334*p^56*q^652+2092122603430*p^54*q^654+276986047975*p^52*q^ 656+29435691928*p^50*q^658+2940710446*p^48*q^660+243358000*p^46*q^662+17932998* p^44*q^664+508152*p^42*q^666+120544*p^40*q^668+44*p^38*q^670+1052*p^83*q^624+ 248668*p^81*q^626+5177644*p^79*q^628+52361696*p^77*q^630+618339822*p^75*q^632+ 6076821122*p^73*q^634+48622914820*p^71*q^636+350543818424*p^69*q^638+ 2180013870192*p^67*q^640+11288587920506*p^65*q^642+42034782301968*p^63*q^644+ 86912182224993*p^61*q^646+74812777210988*p^59*q^648+26771290730143*p^57*q^650+ 5427892798968*p^55*q^652+822611716935*p^53*q^654+97636666406*p^51*q^656+ 9934542189*p^49*q^658+822833886*p^47*q^660+98093418*p^45*q^662+2551050*p^43*q^ 664+588386*p^41*q^666+9692*p^39*q^668+4*p^37*q^670+13924*p^82*q^624+1360012*p^ 80*q^626+18062285*p^78*q^628+160458166*p^76*q^630+1911860377*p^74*q^632+ 16408245704*p^72*q^634+125318043507*p^70*q^636+845710450008*p^68*q^638+ 4857309727780*p^66*q^640+22099991868696*p^64*q^642+64561908915327*p^62*q^644+ 90526109117852*p^60*q^646+50109818156219*p^58*q^648+13080372071484*p^56*q^650+ 2271555758648*p^54*q^652+305817337994*p^52*q^654+32741337340*p^50*q^656+ 3324295798*p^48*q^658+256976907*p^46*q^660+23770994*p^44*q^662+244740*p^42*q^ 664+220212*p^40*q^666+44*p^38*q^668+496*p^83*q^622+160968*p^81*q^624+4220236*p^ 79*q^626+47218340*p^77*q^628+531139414*p^75*q^630+5384077502*p^73*q^632+ 43318703605*p^71*q^634+313318751350*p^69*q^636+1969637000073*p^67*q^638+ 10274508485822*p^65*q^640+39249825914467*p^63*q^642+83814651992926*p^61*q^644+ 76144514140153*p^59*q^646+28221496016246*p^57*q^648+5867551957680*p^55*q^650+ 899001982330*p^53*q^652+108381149977*p^51*q^654+10911544464*p^49*q^656+ 953474986*p^47*q^658+101408664*p^45*q^660+3559400*p^43*q^662+360988*p^41*q^664+ 16202*p^39*q^666+10808*p^82*q^622+1102069*p^80*q^624+15562756*p^78*q^626+ 139669666*p^76*q^628+1666339884*p^74*q^630+14550150216*p^72*q^632+111840931498* p^70*q^634+758438346202*p^68*q^636+4408510730474*p^66*q^638+20279854206742*p^64 *q^640+61250067028330*p^62*q^642+89314474018441*p^60*q^644+52089866698852*p^58* q^646+13955248637600*p^56*q^648+2471079011820*p^54*q^650+336632760532*p^52*q^ 652+36533110436*p^50*q^654+3715467393*p^48*q^656+269263116*p^46*q^658+31536686* p^44*q^660+356308*p^42*q^662+252238*p^40*q^664+510*p^38*q^666+88*p^83*q^620+ 97748*p^81*q^622+3731688*p^79*q^624+45120026*p^77*q^626+456679708*p^75*q^628+ 4767703545*p^73*q^630+38530037786*p^71*q^632+280774252974*p^69*q^634+ 1773057304736*p^67*q^636+9382865319647*p^65*q^638+36433525493112*p^63*q^640+ 81088936329353*p^61*q^642+76895836897436*p^59*q^644+29831350826010*p^57*q^646+ 6310440501984*p^55*q^648+984887102435*p^53*q^650+119785613030*p^51*q^652+ 12023887297*p^49*q^654+1108711324*p^47*q^656+104557463*p^45*q^658+4920078*p^43* q^660+131674*p^41*q^662+34684*p^39*q^664+16*p^84*q^618+5772*p^82*q^620+765672*p ^80*q^622+13334596*p^78*q^624+120892432*p^76*q^626+1440223715*p^74*q^628+ 12947025882*p^72*q^630+99605489760*p^70*q^632+682266542114*p^68*q^634+ 3985581284112*p^66*q^636+18674034113742*p^64*q^638+57709652450193*p^62*q^640+ 88349518829224*p^60*q^642+53748935327897*p^58*q^644+14929482159664*p^56*q^646+ 2677455830562*p^54*q^648+370738991956*p^52*q^650+40710453962*p^50*q^652+ 4099007180*p^48*q^654+291633372*p^46*q^656+37380866*p^44*q^658+565376*p^42*q^ 660+194304*p^40*q^662+1650*p^38*q^664+65504*p^81*q^620+3567782*p^79*q^622+ 41016108*p^77*q^624+395314714*p^75*q^626+4219727104*p^73*q^628+34326200757*p^71 *q^630+250836021534*p^69*q^632+1600713693688*p^67*q^634+8527638825532*p^65*q^ 636+33914338477303*p^63*q^638+77850619170952*p^61*q^640+77846868447668*p^59*q^ 642+31341632971498*p^57*q^644+6809884094798*p^55*q^646+1074287539664*p^53*q^648 +132914971159*p^51*q^650+13279850652*p^49*q^652+1291883809*p^47*q^654+106511070 *p^45*q^656+7284104*p^43*q^658+43716*p^41*q^660+70828*p^39*q^662+8*p^37*q^664+ 2448*p^82*q^618+571968*p^80*q^620+10804248*p^78*q^622+110085259*p^76*q^624+ 1249339780*p^74*q^626+11469522969*p^72*q^628+88844690014*p^70*q^630+ 610970208811*p^68*q^632+3612529434322*p^66*q^634+17096068232408*p^64*q^636+ 54529139604842*p^62*q^638+86728956853423*p^60*q^640+55630034112388*p^58*q^642+ 15891377948653*p^56*q^644+2908657871134*p^54*q^646+407918963263*p^52*q^648+ 45373110340*p^50*q^650+4514227731*p^48*q^652+332790562*p^46*q^654+41194900*p^44 *q^656+806528*p^42*q^658+114240*p^40*q^660+2476*p^38*q^662+248*p^83*q^616+47750 *p^81*q^618+2773966*p^79*q^620+37370288*p^77*q^622+336524252*p^75*q^624+ 3695926415*p^73*q^626+30494317194*p^71*q^628+224379565930*p^69*q^630+ 1439214055254*p^67*q^632+7776144381318*p^65*q^634+31390190603268*p^63*q^636+ 74972088692183*p^61*q^638+78232705634314*p^59*q^640+33011452407569*p^57*q^642+ 7310616389432*p^55*q^644+1174455497703*p^53*q^646+146475505962*p^51*q^648+ 14775812259*p^49*q^650+1467631404*p^47*q^652+103124952*p^45*q^654+10304816*p^43 *q^656+68832*p^41*q^658+66068*p^39*q^660+112*p^37*q^662+300*p^82*q^616+333044*p ^80*q^618+9993849*p^78*q^620+100160402*p^76*q^622+1079989825*p^74*q^624+ 10224942256*p^72*q^626+79115621666*p^70*q^628+549196168860*p^68*q^630+ 3262455707434*p^66*q^632+15711715633156*p^64*q^634+51187156380366*p^62*q^636+ 85335152307792*p^60*q^638+57145828429304*p^58*q^640+16958495322052*p^56*q^642+ 3145496446786*p^54*q^644+448887771166*p^52*q^646+50537043489*p^50*q^648+ 4921991684*p^48*q^650+392595156*p^46*q^652+45035772*p^44*q^654+1204866*p^42*q^ 656+20116*p^40*q^658+12352*p^38*q^660+24*p^83*q^614+27224*p^81*q^616+2417374*p^ 79*q^618+32027436*p^77*q^620+292882470*p^75*q^622+3249705198*p^73*q^624+ 27121477809*p^71*q^626+200255078582*p^69*q^628+1297658768637*p^67*q^630+ 7054738480694*p^65*q^632+29141702792538*p^63*q^634+71639570606728*p^61*q^636+ 78795909346806*p^59*q^638+34566503067858*p^57*q^640+7875338332101*p^55*q^642+ 1279689393490*p^53*q^644+162289074195*p^51*q^646+16480061424*p^49*q^648+ 1670014450*p^47*q^650+105892112*p^45*q^652+13012302*p^43*q^654+109108*p^41*q^ 656+64064*p^39*q^658+44*p^37*q^660+1736*p^82*q^614+283352*p^80*q^616+8382950*p^ 78*q^618+92176276*p^76*q^620+933124572*p^74*q^622+9019687280*p^72*q^624+ 70541230818*p^70*q^626+491185064503*p^68*q^628+2952896017424*p^66*q^630+ 14355059787568*p^64*q^632+48196040952580*p^62*q^634+83345477121597*p^60*q^636+ 58864017953370*p^58*q^638+18007782201617*p^56*q^640+3410948311130*p^54*q^642+ 492362796351*p^52*q^644+56188599476*p^50*q^646+5380660858*p^48*q^648+463642300* p^46*q^650+44385874*p^44*q^652+1987222*p^42*q^654+6216*p^40*q^656+14532*p^38*q^ 658+4*p^36*q^660+8128*p^81*q^614+1548512*p^79*q^616+27684158*p^77*q^618+ 255806704*p^75*q^620+2825460612*p^73*q^622+24104994640*p^71*q^624+178894774029* p^69*q^626+1165708171956*p^67*q^628+6423577646802*p^65*q^630+26897136578986*p^ 63*q^632+68696629486174*p^61*q^634+78758171151602*p^59*q^636+36278516917893*p^ 57*q^638+8439363399160*p^55*q^640+1396303962057*p^53*q^642+179080114320*p^51*q^ 644+18449776613*p^49*q^646+1848560028*p^47*q^648+111954535*p^45*q^650+15924382* p^43*q^652+157648*p^41*q^654+19274*p^39*q^656+1120*p^37*q^658+796*p^82*q^612+ 188140*p^80*q^614+7761266*p^78*q^616+84761890*p^76*q^618+806018734*p^74*q^620+ 8021221242*p^72*q^622+62786709591*p^70*q^624+441096403168*p^68*q^626+ 2663798111595*p^66*q^628+13164706970616*p^64*q^630+45078072668003*p^62*q^632+ 81607568142572*p^60*q^634+60180200173462*p^58*q^636+19166050597340*p^56*q^638+ 3683090107730*p^54*q^640+541286792344*p^52*q^642+62274246547*p^50*q^644+ 5917495538*p^48*q^646+552190865*p^46*q^648+43768020*p^44*q^650+2978116*p^42*q^ 652+11340*p^40*q^654+21086*p^38*q^656+4*p^83*q^610+8716*p^81*q^612+1277698*p^79 *q^614+23840262*p^77*q^616+226635949*p^75*q^618+2460720994*p^73*q^620+ 21410132819*p^71*q^622+159447555634*p^69*q^624+1049454944067*p^67*q^626+ 5819774121502*p^65*q^628+24900791094684*p^63*q^630+65355988856536*p^61*q^632+ 78928040599864*p^59*q^634+37837429921778*p^57*q^636+9075030348949*p^55*q^638+ 1518687397244*p^53*q^640+198094040642*p^51*q^642+20668470176*p^49*q^644+ 2027564526*p^47*q^646+129141318*p^45*q^648+17584514*p^43*q^650+260308*p^41*q^ 652+1200*p^39*q^654+2292*p^37*q^656+48*p^82*q^610+92720*p^80*q^612+5959180*p^78 *q^614+74457550*p^76*q^616+696217816*p^74*q^618+7054726177*p^72*q^620+ 55925761536*p^70*q^622+394096107728*p^68*q^624+2408376442580*p^66*q^626+ 12006871745942*p^64*q^628+42298026224970*p^62*q^630+79292672052432*p^60*q^632+ 61706298864712*p^58*q^634+20291526675497*p^56*q^636+3986929201142*p^54*q^638+ 592526542109*p^52*q^640+69111292836*p^50*q^642+6542490734*p^48*q^644+646847450* p^46*q^646+39830649*p^44*q^648+4278656*p^42*q^650+19028*p^40*q^652+12000*p^38*q ^654+30*p^36*q^656+18*p^83*q^608+8710*p^81*q^610+965492*p^79*q^612+21347954*p^ 77*q^614+207210414*p^75*q^616+2141605620*p^73*q^618+19015740962*p^71*q^620+ 142443173541*p^69*q^622+941816119510*p^67*q^624+5289987544927*p^65*q^626+ 22928338769322*p^63*q^628+62385772288454*p^61*q^630+78478755982406*p^59*q^632+ 39563755368354*p^57*q^634+9706807582864*p^55*q^636+1654472568397*p^53*q^638+ 218506145590*p^51*q^640+23131357658*p^49*q^642+2202065726*p^47*q^644+153476723* p^45*q^646+19197412*p^43*q^648+461916*p^41*q^650+780*p^39*q^652+3840*p^37*q^654 +100*p^82*q^608+51824*p^80*q^610+4725913*p^78*q^612+65657174*p^76*q^614+ 597895920*p^74*q^616+6200936954*p^72*q^618+49706177206*p^70*q^620+353221350622* p^68*q^622+2169212113496*p^66*q^624+10989267910362*p^64*q^626+39433613768267*p^ 62*q^628+77261534627090*p^60*q^630+62771370903996*p^58*q^632+21543159760540*p^ 56*q^634+4296876499895*p^54*q^636+650318115396*p^52*q^638+76456409416*p^50*q^ 640+7300581606*p^48*q^642+734751112*p^46*q^644+38628398*p^44*q^646+5267790*p^42 *q^648+22928*p^40*q^650+994*p^38*q^652+268*p^36*q^654+1656*p^81*q^608+616498*p^ 79*q^610+18701834*p^77*q^612+186234656*p^75*q^614+1864304606*p^73*q^616+ 16917477724*p^71*q^618+126927192752*p^69*q^620+847224925522*p^67*q^622+ 4787536662082*p^65*q^624+21172465998473*p^63*q^626+59119374432936*p^61*q^628+ 78220285241221*p^59*q^630+41094291672990*p^57*q^632+10415861303305*p^55*q^634+ 1795948724606*p^53*q^636+241297523549*p^51*q^638+25824428930*p^49*q^640+ 2391641690*p^47*q^642+193037720*p^45*q^644+18455018*p^43*q^646+845604*p^41*q^ 648+1868*p^39*q^650+4558*p^37*q^652+306*p^82*q^606+56242*p^80*q^608+3974968*p^ 78*q^610+56923870*p^76*q^612+527315394*p^74*q^614+5427483585*p^72*q^616+ 44219922724*p^70*q^618+315177958863*p^68*q^620+1959071330960*p^66*q^622+ 10002173212426*p^64*q^624+36870867487094*p^62*q^626+74707004836144*p^60*q^628+ 64045579479024*p^58*q^630+22742568442000*p^56*q^632+4645686833670*p^54*q^634+ 710795792106*p^52*q^636+84943710964*p^50*q^638+8181826515*p^48*q^640+824223422* p^46*q^642+39873393*p^44*q^644+6683238*p^42*q^646+46402*p^40*q^648+24*p^38*q^ 650+324*p^36*q^652+12*p^83*q^604+1486*p^81*q^606+358552*p^79*q^608+14998991*p^ 77*q^610+168365516*p^75*q^612+1606862472*p^73*q^614+14950934952*p^71*q^616+ 113227888090*p^69*q^618+759232147220*p^67*q^620+4344822278869*p^65*q^622+ 19448106811870*p^63*q^624+56199086352372*p^61*q^626+77390185772234*p^59*q^628+ 42790136640931*p^57*q^630+11116989457600*p^55*q^632+1953121252665*p^53*q^634+ 265705612456*p^51*q^636+28698652976*p^49*q^638+2596718040*p^47*q^640+231745468* p^45*q^642+16033216*p^43*q^644+1154242*p^41*q^646+1584*p^39*q^648+572*p^37*q^ 650+16*p^35*q^652+16*p^82*q^604+21916*p^80*q^606+2844546*p^78*q^608+51422918*p^ 76*q^610+462280383*p^74*q^612+4765865326*p^72*q^614+39342994395*p^70*q^616+ 282317919050*p^68*q^618+1762758517864*p^66*q^620+9141134069350*p^64*q^622+ 34266170379744*p^62*q^624+72429455997892*p^60*q^626+64830101965120*p^58*q^628+ 24066967056744*p^56*q^630+4998426513590*p^54*q^632+778458250834*p^52*q^634+ 93895792443*p^50*q^636+9238277162*p^48*q^638+901484558*p^46*q^640+47699246*p^44 *q^642+7778538*p^42*q^644+113744*p^40*q^646+112*p^38*q^648+1052*p^36*q^650+2406 *p^81*q^604+295610*p^79*q^606+13515032*p^77*q^608+148649026*p^75*q^610+ 1400292066*p^73*q^612+13233571414*p^71*q^614+100782950668*p^69*q^616+ 682102154722*p^67*q^618+3925834189410*p^65*q^620+17915737453664*p^63*q^622+ 53033252979360*p^61*q^624+76729761819289*p^59*q^626+44263877604828*p^57*q^628+ 11905338372314*p^55*q^630+2116781993528*p^53*q^632+293291608887*p^51*q^634+ 32002879436*p^49*q^636+2852451211*p^47*q^638+278885456*p^45*q^640+14284263*p^43 *q^642+1620188*p^41*q^644+3028*p^39*q^646+6*p^35*q^650+188*p^82*q^602+14878*p^ 80*q^604+2001156*p^78*q^606+42720730*p^76*q^608+414825416*p^74*q^610+4142591910 *p^72*q^612+34961706036*p^70*q^614+251652437550*p^68*q^616+1589333368024*p^66*q ^618+8305334384886*p^64*q^620+31944961419520*p^62*q^622+69701925723808*p^60*q^ 624+65808842916276*p^58*q^626+25329802666688*p^56*q^628+5393944170174*p^54*q^ 630+849146056895*p^52*q^632+104139940370*p^50*q^634+10335373861*p^48*q^636+ 980224006*p^46*q^638+60070886*p^44*q^640+7280290*p^42*q^642+193864*p^40*q^644+ 112*p^38*q^646+182*p^36*q^648+828*p^81*q^602+171962*p^79*q^604+10384772*p^77*q^ 606+133420396*p^75*q^608+1206609866*p^73*q^610+11655446530*p^71*q^612+ 89872525141*p^69*q^614+610498990886*p^67*q^616+3559136938442*p^65*q^618+ 16417892809946*p^63*q^620+50221131827785*p^61*q^622+75511200364760*p^59*q^624+ 45887654113829*p^57*q^626+12679241793668*p^55*q^628+2297900496101*p^53*q^630+ 322317947886*p^51*q^632+35485823892*p^49*q^634+3175489894*p^47*q^636+317537901* p^45*q^638+12296160*p^43*q^640+2456122*p^41*q^642+9000*p^39*q^644+4*p^37*q^646+ 138*p^35*q^648+16*p^82*q^600+13928*p^80*q^602+1447520*p^78*q^604+39078800*p^76* q^606+371356023*p^74*q^608+3637070218*p^72*q^610+31083659944*p^70*q^612+ 225158132370*p^68*q^614+1428986048578*p^66*q^616+7574601819616*p^64*q^618+ 29595878681005*p^62*q^620+67268753960796*p^60*q^622+66267990107095*p^58*q^624+ 26720446959932*p^56*q^626+5794538744975*p^54*q^628+928579039082*p^52*q^630+ 115252801863*p^50*q^632+11660555416*p^48*q^634+1046203420*p^46*q^636+78302506*p ^44*q^638+6932996*p^42*q^640+257564*p^40*q^642+124*p^38*q^644+1292*p^81*q^600+ 108930*p^79*q^602+8280190*p^77*q^604+114507493*p^75*q^606+1051708846*p^73*q^608 +10246512363*p^71*q^610+79855872828*p^69*q^612+547614418368*p^67*q^614+ 3210850579750*p^65*q^616+15090636606276*p^63*q^618+47206798100380*p^61*q^620+ 74494593670889*p^59*q^622+47253846820874*p^57*q^624+13545759334139*p^55*q^626+ 2486469262812*p^53*q^628+355026611791*p^51*q^630+39382689614*p^49*q^632+ 3549290393*p^47*q^634+363018476*p^45*q^636+13358918*p^43*q^638+2663934*p^41*q^ 640+24724*p^39*q^642+4*p^37*q^644+30*p^35*q^646+10186*p^80*q^600+1006204*p^78*q ^602+32604594*p^76*q^604+332823200*p^74*q^606+3156823900*p^72*q^608+27570708486 *p^70*q^610+200676151044*p^68*q^612+1287002572072*p^66*q^614+6873421434309*p^64 *q^616+27506697985056*p^62*q^618+64431483263422*p^60*q^620+66933289793834*p^58* q^622+28018447642425*p^56*q^624+6243003995708*p^54*q^626+1010837239169*p^52*q^ 628+127775752506*p^50*q^630+13029233717*p^48*q^632+1132703372*p^46*q^634+ 95907527*p^44*q^636+5407580*p^42*q^638+534656*p^40*q^640+344*p^38*q^642+8*p^34* q^646+560*p^81*q^598+81972*p^79*q^600+6234304*p^77*q^602+102233930*p^75*q^604+ 929063385*p^73*q^606+8997176310*p^71*q^608+71211464846*p^69*q^610+489468622276* p^67*q^612+2906133531947*p^65*q^614+13799297832416*p^63*q^616+44527896348977*p^ 61*q^618+72922245660924*p^59*q^620+48774484521780*p^57*q^622+14393710364964*p^ 55*q^624+2695145597082*p^53*q^626+389454258608*p^51*q^628+43721625677*p^49*q^ 630+4009879786*p^47*q^632+396638102*p^45*q^634+17460048*p^43*q^636+2885816*p^41 *q^638+27120*p^39*q^640+6892*p^80*q^598+638832*p^78*q^600+27117628*p^76*q^602+ 294281156*p^74*q^604+2734350054*p^72*q^606+24402167825*p^70*q^608+179222890420* p^68*q^610+1155297014105*p^66*q^612+6257820189074*p^64*q^614+25416463630593*p^ 62*q^616+61894679110648*p^60*q^618+67056566762025*p^58*q^620+29459090737496*p^ 56*q^622+6692968015636*p^54*q^624+1103377700118*p^52*q^626+141308461120*p^50*q^ 628+14542264908*p^48*q^630+1221355182*p^46*q^632+115653070*p^44*q^634+3933500*p ^42*q^636+728776*p^40*q^638+1972*p^38*q^640+2*p^34*q^644+28*p^81*q^596+66282*p^ 79*q^598+4706374*p^77*q^600+90788918*p^75*q^602+820478200*p^73*q^604+7929611303 *p^71*q^606+63298862620*p^69*q^608+438869428702*p^67*q^610+2619367214452*p^65*q ^612+12655937706561*p^63*q^614+41710512318068*p^61*q^616+71567563093364*p^59*q^ 618+49976577993626*p^57*q^620+15340591957839*p^55*q^622+2911029959500*p^53*q^ 624+428019069117*p^51*q^626+48506093994*p^49*q^628+4560170386*p^47*q^630+ 430164196*p^45*q^632+23900776*p^43*q^634+2770676*p^41*q^636+73648*p^39*q^638+4* p^37*q^640+6120*p^80*q^596+483370*p^78*q^598+22291314*p^76*q^600+258247036*p^74 *q^602+2382667756*p^72*q^604+21531357610*p^70*q^606+159521238524*p^68*q^608+ 1038802426718*p^66*q^610+5667812852902*p^64*q^612+23550656279924*p^62*q^614+ 59024544572303*p^60*q^616+67364327191838*p^58*q^618+30784395008020*p^56*q^620+ 7199695715058*p^54*q^622+1199546258162*p^52*q^624+156636473578*p^50*q^626+ 16193666117*p^48*q^628+1345043936*p^46*q^630+137878464*p^44*q^632+3515992*p^42* q^634+881802*p^40*q^636+2304*p^38*q^638+24*p^81*q^594+45460*p^79*q^596+3204152* p^77*q^598+77154950*p^75*q^600+731436886*p^73*q^602+6905949830*p^71*q^604+ 56356272540*p^69*q^606+391753233030*p^67*q^608+2368012008952*p^65*q^610+ 11549159514942*p^63*q^612+39200255564634*p^61*q^614+69719596020436*p^59*q^616+ 51348849743817*p^57*q^618+16253656210518*p^55*q^620+3150410858938*p^53*q^622+ 468251817932*p^51*q^624+53815453678*p^49*q^626+5132278652*p^47*q^628+455245912* p^45*q^630+29619264*p^43*q^632+2068570*p^41*q^634+142480*p^39*q^636+68*p^37*q^ 638+1132*p^80*q^594+330822*p^78*q^596+17717312*p^76*q^598+232287923*p^74*q^600+ 2076008836*p^72*q^602+19039675778*p^70*q^604+142449995128*p^68*q^606+ 931615299554*p^66*q^608+5152460487926*p^64*q^610+21703090822031*p^62*q^612+ 56441670608240*p^60*q^614+67142383078848*p^58*q^616+32232719196518*p^56*q^618+ 7706103914115*p^54*q^620+1306951683296*p^52*q^622+172924340950*p^50*q^624+ 18012790708*p^48*q^626+1506865387*p^46*q^628+155913966*p^44*q^630+4843318*p^42* q^632+1044878*p^40*q^634+5568*p^38*q^636+38438*p^79*q^594+2454806*p^77*q^596+ 67257438*p^75*q^598+643987650*p^73*q^600+6061526452*p^71*q^602+49971194352*p^69 *q^604+350753423009*p^67*q^606+2130676910028*p^65*q^608+10572148935005*p^63*q^ 610+36585414570898*p^61*q^612+68073822295116*p^59*q^614+52369898351778*p^57*q^ 616+17281918774859*p^55*q^618+3396860676310*p^53*q^620+513953603504*p^51*q^622+ 59887047786*p^49*q^624+5811480767*p^47*q^626+483068260*p^45*q^628+39516436*p^43 *q^630+1316168*p^41*q^632+197432*p^39*q^634+164*p^37*q^636+8*p^82*q^590+708*p^ 80*q^592+280316*p^78*q^594+13499782*p^76*q^596+201714752*p^74*q^598+1820817761* p^72*q^600+16744951826*p^70*q^602+126694242093*p^68*q^604+836487746750*p^66*q^ 606+4659765068706*p^64*q^608+20057545881034*p^62*q^610+53591855851251*p^60*q^ 612+67096009677942*p^58*q^614+33554628935760*p^56*q^616+8270711433320*p^54*q^ 618+1418283434083*p^52*q^620+191051103512*p^50*q^622+19945522544*p^48*q^624+ 1703780010*p^46*q^626+172623469*p^44*q^628+6097480*p^42*q^630+982006*p^40*q^632 +18548*p^38*q^634+16094*p^79*q^592+1605160*p^77*q^594+55577106*p^75*q^596+ 574516546*p^73*q^598+5262338224*p^71*q^600+44381774420*p^69*q^602+312821913354* p^67*q^604+1923683082772*p^65*q^606+9627845133122*p^63*q^608+34272017111675*p^ 61*q^610+65978241270518*p^59*q^612+53537415194315*p^57*q^614+18262604849752*p^ 55*q^616+3670971331694*p^53*q^618+561324480394*p^51*q^620+66647161704*p^49*q^ 622+6505201922*p^47*q^624+514543137*p^45*q^626+48080052*p^43*q^628+950417*p^41* q^630+282980*p^39*q^632+184*p^37*q^634+8*p^82*q^588+96*p^80*q^590+204360*p^78*q ^592+10396560*p^76*q^594+180611889*p^74*q^596+1602340678*p^72*q^598+14777105626 *p^70*q^600+113057530800*p^68*q^602+749329012332*p^66*q^604+4229225243706*p^64* q^606+18434263341357*p^62*q^608+51035420641408*p^60*q^610+66515970809911*p^58*q ^612+34996825499916*p^56*q^614+8835295523205*p^54*q^616+1542456009964*p^52*q^ 618+210420391863*p^50*q^620+22133883406*p^48*q^622+1950793986*p^46*q^624+ 184886534*p^44*q^626+8774954*p^42*q^628+802204*p^40*q^630+30276*p^38*q^632+4*p^ 36*q^634+128*p^81*q^588+8582*p^79*q^590+1352654*p^77*q^592+46324542*p^75*q^594+ 504128188*p^73*q^596+4603320005*p^71*q^598+39215626820*p^69*q^600+279693408260* p^67*q^602+1728590561588*p^65*q^604+8794625168644*p^63*q^606+31878018958234*p^ 61*q^608+64114379032628*p^59*q^610+54328636540580*p^57*q^612+19358491982265*p^ 55*q^614+3952736026786*p^53*q^616+615092601291*p^51*q^618+74075701548*p^49*q^ 620+7299310351*p^47*q^622+554416040*p^45*q^624+58081924*p^43*q^626+1084932*p^41 *q^628+308936*p^39*q^630+1452*p^37*q^632+24*p^80*q^588+125630*p^78*q^590+ 7407733*p^76*q^592+153973762*p^74*q^594+1413731126*p^72*q^596+12957347734*p^70* q^598+100466644906*p^68*q^600+672037580602*p^66*q^602+3819674438866*p^64*q^604+ 16994801476492*p^62*q^606+48251121625647*p^60*q^608+66135127227238*p^58*q^610+ 36269858321863*p^56*q^612+9465540442898*p^54*q^614+1670475462784*p^52*q^616+ 231872867838*p^50*q^618+24627721372*p^48*q^620+2221170126*p^46*q^622+196852363* p^44*q^624+11835188*p^42*q^626+411434*p^40*q^628+59756*p^38*q^630+4*p^36*q^632+ 136*p^81*q^586+3680*p^79*q^588+1047910*p^77*q^590+37234236*p^75*q^592+451466185 *p^73*q^594+4010536944*p^71*q^596+34752772692*p^69*q^598+249277444868*p^67*q^ 600+1558211922142*p^65*q^602+7995446889134*p^63*q^604+29757161037731*p^61*q^606 +61833361489868*p^59*q^608+55269570864687*p^57*q^610+20395649749644*p^55*q^612+ 4264448424523*p^53*q^614+670980209018*p^51*q^616+82443031764*p^49*q^618+ 8072235030*p^47*q^620+622177326*p^45*q^622+65483724*p^43*q^624+1471550*p^41*q^ 626+348902*p^39*q^628+2628*p^37*q^630+864*p^80*q^586+69076*p^78*q^588+5620804*p ^76*q^590+133587077*p^74*q^592+1245935880*p^72*q^594+11363942593*p^70*q^596+ 89472304798*p^68*q^598+600988503130*p^66*q^600+3460963967772*p^64*q^602+ 15583031812872*p^62*q^604+45760798016510*p^60*q^606+65216763193713*p^58*q^608+ 37679282340438*p^56*q^610+10089138827307*p^54*q^612+1814003501038*p^52*q^614+ 254669085952*p^50*q^616+27402186754*p^48*q^618+2539220310*p^46*q^620+199734848* p^44*q^622+15849692*p^42*q^624+226426*p^40*q^626+67092*p^38*q^628+52*p^36*q^630 +8*p^81*q^584+580*p^79*q^586+710012*p^77*q^588+29104272*p^75*q^590+396272162*p^ 73*q^592+3513952775*p^71*q^594+30687093864*p^69*q^596+222688858864*p^67*q^598+ 1398807662724*p^65*q^600+7289914568901*p^63*q^602+27597892916750*p^61*q^604+ 59790292096543*p^59*q^606+55791529428428*p^57*q^608+21552905893457*p^55*q^610+ 4582739932538*p^53*q^612+733574671531*p^51*q^614+91446861702*p^49*q^616+ 8988309920*p^47*q^618+703194558*p^45*q^620+74560588*p^43*q^622+2273858*p^41*q^ 624+265692*p^39*q^626+9528*p^37*q^628+1192*p^80*q^584+47588*p^78*q^586+4711462* p^76*q^588+113621344*p^74*q^590+1101759078*p^72*q^592+9965776018*p^70*q^594+ 79304694093*p^68*q^596+538540143536*p^66*q^598+3120652470991*p^64*q^600+ 14328249984382*p^62*q^602+43096377765875*p^60*q^604+64495036124852*p^58*q^606+ 38879258339877*p^56*q^608+10788466462200*p^54*q^610+1962078606138*p^52*q^612+ 280488323376*p^50*q^614+30612049011*p^48*q^616+2870233402*p^46*q^618+210929202* p^44*q^620+19616196*p^42*q^622+202146*p^40*q^624+90260*p^38*q^626+96*p^36*q^628 +3652*p^79*q^584+441642*p^77*q^586+21613766*p^75*q^588+345882692*p^73*q^590+ 3074851262*p^71*q^592+27035376454*p^69*q^594+198272751626*p^67*q^596+ 1258655140232*p^65*q^598+6614646972560*p^63*q^600+25680072218430*p^61*q^602+ 57401442285068*p^59*q^604+56468776711891*p^57*q^606+22630961339876*p^55*q^608+ 4937231061509*p^53*q^610+798229669974*p^51*q^612+101281644988*p^49*q^614+ 9920990998*p^47*q^616+812898079*p^45*q^618+77913468*p^43*q^620+3227536*p^41*q^ 622+105752*p^39*q^624+11992*p^37*q^626+352*p^80*q^582+12190*p^78*q^584+3378322* p^76*q^586+94875491*p^74*q^588+978481468*p^72*q^590+8702818753*p^70*q^592+ 70597806964*p^68*q^594+481082347979*p^66*q^596+2824436287294*p^64*q^598+ 13110046542076*p^62*q^600+40707671342400*p^60*q^602+63281817956323*p^58*q^604+ 40199659534780*p^56*q^606+11473462134554*p^54*q^608+2126577880690*p^52*q^610+ 307674302804*p^50*q^612+34252893036*p^48*q^614+3218620506*p^46*q^616+222236134* p^44*q^618+23847542*p^42*q^620+339040*p^40*q^622+114570*p^38*q^624+880*p^36*q^ 626+6676*p^79*q^582+339272*p^77*q^584+18161464*p^75*q^586+305314626*p^73*q^588+ 2709374026*p^71*q^590+23867527690*p^69*q^592+176872101035*p^67*q^594+ 1128448814416*p^65*q^596+6020144757301*p^63*q^598+23739412191934*p^61*q^600+ 55235819464673*p^59*q^602+56711064194882*p^57*q^604+23833801446193*p^55*q^606+ 5297199215728*p^53*q^608+871712760134*p^51*q^610+112003649240*p^49*q^612+ 11040860050*p^47*q^614+944260724*p^45*q^616+81620013*p^43*q^618+4828508*p^41*q^ 620+40648*p^39*q^622+13700*p^37*q^624+16*p^80*q^580+15832*p^78*q^582+2360126*p^ 76*q^584+74585230*p^74*q^586+854384976*p^72*q^588+7602689622*p^70*q^590+ 62305699924*p^68*q^592+430379383470*p^66*q^594+2542051652256*p^64*q^596+ 12027045305052*p^62*q^598+38192145860281*p^60*q^600+62257970254798*p^58*q^602+ 41299026343182*p^56*q^604+12240052922456*p^54*q^606+2296414464613*p^52*q^608+ 338015768986*p^50*q^610+38268722285*p^48*q^612+3587372060*p^46*q^614+245358210* p^44*q^616+27627088*p^42*q^618+462366*p^40*q^620+64332*p^38*q^622+2056*p^36*q^ 624+4168*p^79*q^580+155668*p^77*q^582+13869448*p^75*q^584+264373444*p^73*q^586+ 2386788510*p^71*q^588+21008725785*p^69*q^590+157444609406*p^67*q^592+ 1014409571735*p^65*q^594+5454254889370*p^63*q^596+22029802143657*p^61*q^598+ 52781591166374*p^59*q^600+57092178144340*p^57*q^602+24937693220100*p^55*q^604+ 5695125511986*p^53*q^606+946572942988*p^51*q^608+123846579441*p^49*q^610+ 12257858814*p^47*q^612+1084213584*p^45*q^614+81528080*p^43*q^616+6060393*p^41*q ^618+37996*p^39*q^620+28828*p^37*q^622+28*p^35*q^624+8*p^80*q^578+26004*p^78*q^ 580+1758284*p^76*q^582+61756406*p^74*q^584+760570480*p^72*q^586+6655890710*p^70 *q^588+55294509124*p^68*q^590+384028304647*p^66*q^592+2296884942664*p^64*q^594+ 10976800130172*p^62*q^596+35939642277108*p^60*q^598+60763335367194*p^58*q^600+ 42505332322548*p^56*q^602+12987939597582*p^54*q^604+2486481150050*p^52*q^606+ 370385949863*p^50*q^608+42758241558*p^48*q^610+3983985657*p^46*q^612+284570826* p^44*q^614+30509434*p^42*q^616+907252*p^40*q^618+20848*p^38*q^620+1144*p^36*q^ 622+864*p^79*q^578+97696*p^77*q^580+10568184*p^75*q^582+223282236*p^73*q^584+ 2093738383*p^71*q^586+18431254520*p^69*q^588+140187475897*p^67*q^590+ 908093398494*p^65*q^592+4954296283873*p^63*q^594+20308458194698*p^61*q^596+ 50572223370434*p^59*q^598+57038706727118*p^57*q^600+26165359246393*p^55*q^602+ 6100720250838*p^53*q^604+1030961047502*p^51*q^606+136549948684*p^49*q^608+ 13726187332*p^47*q^610+1237188590*p^45*q^612+80896145*p^43*q^614+8052096*p^41*q ^616+49752*p^39*q^618+27156*p^37*q^620+268*p^35*q^622+26008*p^78*q^578+1159948* p^76*q^580+49446856*p^74*q^582+668459891*p^72*q^584+5844934572*p^70*q^586+ 48822749869*p^68*q^588+343314602906*p^66*q^590+2064959782172*p^64*q^592+ 10050101394410*p^62*q^594+33589913051394*p^60*q^596+59479125939664*p^58*q^598+ 43446146378157*p^56*q^600+13820308695014*p^54*q^602+2680032635558*p^52*q^604+ 406346691286*p^50*q^606+47612134614*p^48*q^608+4396496336*p^46*q^610+330960778* p^44*q^612+32599110*p^42*q^614+1228333*p^40*q^616+4820*p^38*q^618+4136*p^36*q^ 620+352*p^79*q^576+96596*p^77*q^578+7842792*p^75*q^580+186865630*p^73*q^582+ 1845031012*p^71*q^584+16162989447*p^69*q^586+124402378802*p^67*q^588+ 814880408553*p^65*q^590+4481091639872*p^63*q^592+18786118482124*p^61*q^594+ 48106244014706*p^59*q^596+57134526178856*p^57*q^598+27274512404044*p^55*q^600+ 6550134150140*p^53*q^602+1118301097682*p^51*q^604+150823618169*p^49*q^606+ 15411721238*p^47*q^608+1403282795*p^45*q^610+85871130*p^43*q^612+9539964*p^41*q ^614+113186*p^39*q^616+11204*p^37*q^618+36*p^35*q^620+12240*p^78*q^576+666872*p ^76*q^578+39576098*p^74*q^580+587042262*p^72*q^582+5118468684*p^70*q^584+ 43223309000*p^68*q^586+306058164844*p^66*q^588+1862908631116*p^64*q^590+ 9154393756330*p^62*q^592+31499644730320*p^60*q^594+57755123668187*p^58*q^596+ 44504150874976*p^56*q^598+14622275527003*p^54*q^600+2895777785636*p^52*q^602+ 443937798734*p^50*q^604+52932976150*p^48*q^606+4830284810*p^46*q^608+387798516* p^44*q^610+31699924*p^42*q^612+1805386*p^40*q^614+4762*p^38*q^616+7044*p^36*q^ 618+16*p^34*q^620+16*p^79*q^574+107660*p^77*q^576+5900864*p^75*q^578+156059502* p^73*q^580+1627277310*p^71*q^582+14172571432*p^69*q^584+110575629810*p^67*q^586 +728680285008*p^65*q^588+4063423812541*p^63*q^590+17275176811394*p^61*q^592+ 45880174633098*p^59*q^594+56769598829724*p^57*q^596+28510432632497*p^55*q^598+ 7003334733416*p^53*q^600+1216652873918*p^51*q^602+166188961714*p^49*q^604+ 17363729654*p^47*q^606+1581055766*p^45*q^608+94692558*p^43*q^610+11358714*p^41* q^612+203321*p^39*q^614+2280*p^37*q^616+328*p^35*q^618+5432*p^78*q^574+497028*p ^76*q^576+31114076*p^74*q^578+506321558*p^72*q^580+4497493214*p^70*q^582+ 38049071480*p^68*q^584+273255843638*p^66*q^586+1672206907163*p^64*q^588+ 8361744075922*p^62*q^590+29339847914902*p^60*q^592+56248582178680*p^58*q^594+ 45263680400676*p^56*q^596+15518762649916*p^54*q^598+3116621632362*p^52*q^600+ 485909495946*p^50*q^602+58717660943*p^48*q^604+5379190908*p^46*q^606+451482151* p^44*q^608+31535144*p^42*q^610+2468484*p^40*q^612+7620*p^38*q^614+4080*p^36*q^ 616+6*p^81*q^570+8*p^79*q^572+85376*p^77*q^574+3873614*p^75*q^576+127169284*p^ 73*q^578+1434818578*p^71*q^580+12411666630*p^69*q^582+97918040284*p^67*q^584+ 653016278623*p^65*q^586+3668489459538*p^63*q^588+15936944583223*p^61*q^590+ 43465787887926*p^59*q^592+56560821327174*p^57*q^594+29594265947896*p^55*q^596+ 7506589344387*p^53*q^598+1317061238254*p^51*q^600+183295950694*p^49*q^602+ 19463663158*p^47*q^604+1732274746*p^45*q^606+109827780*p^43*q^608+11802032*p^41 *q^610+280966*p^39*q^612+362*p^37*q^614+1076*p^35*q^616+1120*p^78*q^572+393426* p^76*q^574+23911192*p^74*q^576+438253976*p^72*q^578+3941532773*p^70*q^580+ 33605104662*p^68*q^582+243317595534*p^66*q^584+1506524583670*p^64*q^586+ 7602595329417*p^62*q^588+27415682804346*p^60*q^590+54356677952633*p^58*q^592+ 46132672291438*p^56*q^594+16370882593536*p^54*q^596+3362934802948*p^52*q^598+ 529782147043*p^50*q^600+65151076916*p^48*q^602+6011469218*p^46*q^604+532122948* p^44*q^606+29805941*p^42*q^608+3190562*p^40*q^610+26404*p^38*q^612+1192*p^36*q^ 614+12*p^34*q^616+8*p^79*q^570+49260*p^77*q^572+2805520*p^75*q^574+106386660*p^ 73*q^576+1263356399*p^71*q^578+10898446418*p^69*q^580+86901317541*p^67*q^582+ 583120677586*p^65*q^584+3321582917430*p^63*q^586+14614244546840*p^61*q^588+ 41273765595850*p^59*q^590+55909705890220*p^57*q^592+30800423673671*p^55*q^594+ 8010757008274*p^53*q^596+1430210874400*p^51*q^598+201702977220*p^49*q^600+ 21860301993*p^47*q^602+1909777656*p^45*q^604+129262889*p^43*q^606+12948332*p^41 *q^608+518323*p^39*q^610+192*p^37*q^612+940*p^35*q^614+102*p^80*q^568+392*p^78* q^570+395608*p^76*q^572+17869996*p^74*q^574+366293164*p^72*q^576+3461725752*p^ 70*q^578+29450260653*p^68*q^580+216674195408*p^66*q^582+1350116622827*p^64*q^ 584+6929829727228*p^62*q^586+25450934144309*p^60*q^588+52674493796780*p^58*q^ 590+46691034009279*p^56*q^592+17324132550086*p^54*q^594+3613915699219*p^52*q^ 596+579006235326*p^50*q^598+72088723313*p^48*q^600+6770556476*p^46*q^602+ 601239621*p^44*q^604+31046644*p^42*q^606+3553748*p^40*q^608+27658*p^38*q^610+12 *p^36*q^612+92*p^34*q^614+19436*p^77*q^570+1797816*p^75*q^572+83950534*p^73*q^ 574+1112014592*p^71*q^576+9557231354*p^69*q^578+76877529884*p^67*q^580+ 522264588258*p^65*q^582+2994208133106*p^63*q^584+13450837711865*p^61*q^586+ 38938290869500*p^59*q^588+55406569952625*p^57*q^590+31837386844722*p^55*q^592+ 8566717035018*p^53*q^594+1545269374370*p^51*q^596+221880647971*p^49*q^598+ 24394304268*p^47*q^600+2089457754*p^45*q^602+157774638*p^43*q^604+11966158*p^41 *q^606+726944*p^39*q^608+2172*p^37*q^610+368*p^35*q^612+332*p^78*q^568+290056*p ^76*q^570+13395718*p^74*q^572+314285250*p^72*q^574+3045211445*p^70*q^576+ 25953950074*p^68*q^578+192579913128*p^66*q^580+1214213140334*p^64*q^582+ 6287143102604*p^62*q^584+23705801465766*p^60*q^586+50648085995238*p^58*q^588+ 47340343315978*p^56*q^590+18218940924828*p^54*q^592+3894852029342*p^52*q^594+ 630376813710*p^50*q^596+79989102680*p^48*q^598+7660035680*p^46*q^600+676971030* p^44*q^602+34017624*p^42*q^604+4316682*p^40*q^606+78036*p^38*q^608+128*p^34*q^ 612+726*p^79*q^566+7192*p^77*q^568+1590874*p^75*q^570+67287628*p^73*q^572+ 963920234*p^71*q^574+8363662790*p^69*q^576+68030030854*p^67*q^578+465701703490* p^65*q^580+2706115316608*p^63*q^582+12303929603096*p^61*q^584+36829604562002*p^ 59*q^586+54481054197572*p^57*q^588+32990144313997*p^55*q^590+9124569249330*p^53 *q^592+1674885701555*p^51*q^594+243496888622*p^49*q^596+27245511194*p^47*q^598+ 2306321402*p^45*q^600+188383222*p^43*q^602+10807538*p^41*q^604+907080*p^39*q^ 606+1852*p^37*q^608+4*p^33*q^612+32*p^78*q^566+171504*p^76*q^568+9155426*p^74*q ^570+260126210*p^72*q^572+2680716596*p^70*q^574+22757178380*p^68*q^576+ 171271342338*p^66*q^578+1086951931972*p^64*q^580+5720232753746*p^62*q^582+ 21934964605436*p^60*q^584+48853046688080*p^58*q^586+47653911459695*p^56*q^588+ 19213698386658*p^54*q^590+4179292833409*p^52*q^592+687351572260*p^50*q^594+ 88422741926*p^48*q^596+8652708400*p^46*q^598+746763518*p^44*q^600+41028334*p^42 *q^602+4826932*p^40*q^604+130626*p^38*q^606+80*p^36*q^608+60*p^34*q^610+180*p^ 79*q^564+5415*p^77*q^566+1301222*p^75*q^568+52634164*p^73*q^570+835665894*p^71* q^572+7342333398*p^69*q^574+59999957292*p^67*q^576+416339535442*p^65*q^578+ 2435492088358*p^63*q^580+11294576240912*p^61*q^582+34604400116048*p^59*q^584+ 53715587892567*p^57*q^586+33944562612680*p^55*q^588+9739163654024*p^53*q^590+ 1807201785734*p^51*q^592+267577912310*p^49*q^594+30322423222*p^47*q^596+ 2575279168*p^45*q^598+219692248*p^43*q^600+9993049*p^41*q^602+1050068*p^39*q^ 604+6740*p^37*q^606+8*p^33*q^610+2836*p^78*q^564+80424*p^76*q^566+6741884*p^74* q^568+215372514*p^72*q^570+2360133734*p^70*q^572+20009810134*p^68*q^574+ 151923978302*p^66*q^576+976091823428*p^64*q^578+5180666187692*p^62*q^580+ 20365707821978*p^60*q^582+46751761263889*p^58*q^584+48077257599352*p^56*q^586+ 20133348908025*p^54*q^588+4496361800460*p^52*q^590+746636903152*p^50*q^592+ 97889796818*p^48*q^594+9745585840*p^46*q^596+814560498*p^44*q^598+51269066*p^42 *q^600+4453278*p^40*q^602+199992*p^38*q^604+92*p^36*q^606+1224*p^77*q^564+ 953842*p^75*q^566+40066276*p^73*q^568+718312162*p^71*q^570+6425736198*p^69*q^ 572+52981955917*p^67*q^574+370817583534*p^65*q^576+2197603034954*p^63*q^578+ 10308562872092*p^61*q^580+32601864290105*p^59*q^582+52534126983934*p^57*q^584+ 35013691115986*p^55*q^586+10346996838490*p^53*q^588+1956385226225*p^51*q^590+ 293045077004*p^49*q^592+33781822894*p^47*q^594+2910317456*p^45*q^596+253377954* p^43*q^598+10044734*p^41*q^600+1472890*p^39*q^602+17546*p^37*q^604+4*p^33*q^608 +2486*p^78*q^562+54472*p^76*q^564+5496246*p^74*q^566+176435135*p^72*q^568+ 2071575662*p^70*q^570+17542503383*p^68*q^572+134894741348*p^66*q^574+ 872489529116*p^64*q^576+4703421730590*p^62*q^578+18791364795740*p^60*q^580+ 44873524241992*p^58*q^582+48140227985201*p^56*q^584+21162007015986*p^54*q^586+ 4817710385796*p^52*q^588+812467968574*p^50*q^590+108123381384*p^48*q^592+ 11000726406*p^46*q^594+886021826*p^44*q^596+63065812*p^42*q^598+4029295*p^40*q^ 600+220576*p^38*q^602+210*p^36*q^604+7112*p^77*q^562+589820*p^75*q^564+28866898 *p^73*q^566+608103452*p^71*q^568+5639254313*p^69*q^570+46568695522*p^67*q^572+ 330800206867*p^65*q^574+1974314680432*p^63*q^576+9439807663719*p^61*q^578+ 30517349555608*p^59*q^580+51531595294125*p^57*q^582+35853485731446*p^55*q^584+ 11019461883055*p^53*q^586+2107499925472*p^51*q^588+321270091992*p^49*q^590+ 37456920854*p^47*q^592+3276561770*p^45*q^594+283925548*p^43*q^596+12137236*p^41 *q^598+1569756*p^39*q^600+31320*p^37*q^602+164*p^78*q^560+21092*p^76*q^562+ 4080424*p^74*q^564+142652886*p^72*q^566+1817308305*p^70*q^568+15407798908*p^68* q^570+119515600382*p^66*q^572+782713476110*p^64*q^574+4252753178355*p^62*q^576+ 17393976576802*p^60*q^578+42761471514305*p^58*q^580+48302064686324*p^56*q^582+ 22089948105147*p^54*q^584+5175570548630*p^52*q^586+880683873426*p^50*q^588+ 119529259244*p^48*q^590+12343115539*p^46*q^592+974981582*p^44*q^594+75950974*p^ 42*q^596+3060756*p^40*q^598+315657*p^38*q^600+1592*p^36*q^602+14242*p^77*q^560+ 396926*p^75*q^562+23052190*p^73*q^564+518284448*p^71*q^566+4953525396*p^69*q^ 568+41110724829*p^67*q^570+294065628094*p^65*q^572+1778646480987*p^63*q^574+ 8595176911610*p^61*q^576+28637805527104*p^59*q^578+50138178563936*p^57*q^580+ 36803444732851*p^55*q^582+11677936975200*p^53*q^584+2278353892051*p^51*q^586+ 351187955108*p^49*q^588+41741075905*p^47*q^590+3737938950*p^45*q^592+316637778* p^43*q^594+15653188*p^41*q^596+1710666*p^39*q^598+50720*p^37*q^600+156*p^78*q^ 558+19140*p^76*q^560+3083352*p^74*q^562+109987864*p^72*q^564+1568007984*p^70*q^ 566+13456831138*p^68*q^568+105660864370*p^66*q^570+698466746352*p^64*q^572+ 3853440379442*p^62*q^574+16001133825217*p^60*q^576+40856211985074*p^58*q^578+ 48123680975031*p^56*q^580+23128120822304*p^54*q^582+5536394495170*p^52*q^584+ 957042422868*p^50*q^586+131701508457*p^48*q^588+13806590522*p^46*q^590+ 1078499478*p^44*q^592+88128852*p^42*q^594+2877797*p^40*q^596+390034*p^38*q^598+ 2652*p^36*q^600+4166*p^77*q^558+215480*p^75*q^560+16693900*p^73*q^562+432161812 *p^71*q^564+4369563543*p^69*q^566+36105583910*p^67*q^568+262220024383*p^65*q^ 570+1595707037022*p^63*q^572+7855286897578*p^61*q^574+26712348735498*p^59*q^576 +48923525197182*p^57*q^578+37501889796466*p^55*q^580+12400852969329*p^53*q^582+ 2450869403500*p^51*q^584+383720940050*p^49*q^586+46279871154*p^47*q^588+ 4247611286*p^45*q^590+339958930*p^43*q^592+20265937*p^41*q^594+1311112*p^39*q^ 596+51708*p^37*q^598+68*p^35*q^600+47308*p^76*q^558+2190222*p^74*q^560+87925592 *p^72*q^562+1367560981*p^70*q^564+11815329690*p^68*q^566+93455401490*p^66*q^568 +625344979400*p^64*q^570+3477251134926*p^62*q^572+14769387771374*p^60*q^574+ 38750239818096*p^58*q^576+48027691729268*p^56*q^578+24050828883092*p^54*q^580+ 5938997866586*p^52*q^582+1035793765791*p^50*q^584+145597282148*p^48*q^586+ 15419973705*p^46*q^588+1209934946*p^44*q^590+105004850*p^42*q^592+3275642*p^40* q^594+548893*p^38*q^596+9784*p^36*q^598+2404*p^77*q^556+114852*p^75*q^558+ 13065400*p^73*q^560+355486046*p^71*q^562+3816157126*p^69*q^564+31764693093*p^67 *q^566+232513761950*p^65*q^568+1435022329937*p^63*q^570+7136347549918*p^61*q^ 572+24981247285438*p^59*q^574+47365393587970*p^57*q^576+38302470759527*p^55*q^ 578+13105860367484*p^53*q^580+2645153206539*p^51*q^582+418342079246*p^49*q^584+ 51401434682*p^47*q^586+4830786740*p^45*q^588+370837900*p^43*q^590+23769196*p^41 *q^592+963852*p^39*q^594+67120*p^37*q^596+84*p^35*q^598+34268*p^76*q^556+ 1481352*p^74*q^558+66935005*p^72*q^560+1170610862*p^70*q^562+10346167470*p^68*q ^564+82565080634*p^66*q^566+557463087223*p^64*q^568+3145756730260*p^62*q^570+ 13549022033147*p^60*q^572+36867183101010*p^58*q^574+47581541025458*p^56*q^576+ 25074850197282*p^54*q^578+6341937544650*p^52*q^580+1123683001068*p^50*q^582+ 160014722911*p^48*q^584+17235410584*p^46*q^586+1369285692*p^44*q^588+117068696* p^42*q^590+4736158*p^40*q^592+541522*p^38*q^594+9269*p^36*q^596+376*p^77*q^554+ 138958*p^75*q^556+9801290*p^73*q^558+290407478*p^71*q^560+3353599763*p^69*q^562 +27849808670*p^67*q^564+206772340425*p^65*q^566+1285446195224*p^63*q^568+ 6505621817303*p^61*q^570+23215842892944*p^59*q^572+45992234516749*p^57*q^574+ 38834325136158*p^55*q^576+13880528916741*p^53*q^578+2842490625090*p^51*q^580+ 456457882763*p^49*q^582+57077243826*p^47*q^584+5449515819*p^45*q^586+402235162* p^43*q^588+29811812*p^41*q^590+726188*p^39*q^592+113135*p^37*q^594+1012*p^35*q^ 596+19144*p^76*q^554+841842*p^74*q^556+51006306*p^72*q^558+998193806*p^70*q^560 +9081508552*p^68*q^562+72784410909*p^66*q^564+498279408880*p^64*q^566+ 2833555824839*p^62*q^568+12472949928720*p^60*q^570+34819319496706*p^58*q^572+ 47245125208162*p^56*q^574+25958536882337*p^54*q^576+6788722974998*p^52*q^578+ 1213926937348*p^50*q^580+176085282830*p^48*q^582+19134425826*p^46*q^584+ 1566708026*p^44*q^586+128992192*p^42*q^588+5738284*p^40*q^590+400398*p^38*q^592 +8400*p^36*q^594+8*p^77*q^552+150072*p^75*q^554+7445086*p^73*q^556+235967070*p^ 71*q^558+2932009566*p^69*q^560+24475989790*p^67*q^562+183205256642*p^65*q^564+ 1154309395697*p^63*q^566+5899514955060*p^61*q^568+21635044956349*p^59*q^570+ 44298650250820*p^57*q^572+39465102508671*p^55*q^574+14621045618418*p^53*q^576+ 3064855546633*p^51*q^578+496603284700*p^49*q^580+63520559084*p^47*q^582+ 6164074792*p^45*q^584+441007692*p^43*q^586+35691102*p^41*q^588+912396*p^39*q^ 590+169864*p^37*q^592+2025*p^35*q^594+8464*p^76*q^552+629552*p^74*q^554+ 39330020*p^72*q^556+839824912*p^70*q^558+7946846130*p^68*q^560+64189297990*p^66 *q^562+443241118281*p^64*q^564+2557971994932*p^62*q^566+11412323745246*p^60*q^ 568+32981516499170*p^58*q^570+46554560910768*p^56*q^572+26952113825366*p^54*q^ 574+7236133449744*p^52*q^576+1314836292316*p^50*q^578+193100516608*p^48*q^580+ 21352455144*p^46*q^582+1799874448*p^44*q^584+141279542*p^42*q^586+7358956*p^40* q^588+284616*p^38*q^590+13238*p^36*q^592+32*p^34*q^594+156*p^77*q^550+108280*p^ 75*q^552+4961986*p^73*q^554+184444936*p^71*q^556+2543793638*p^69*q^558+ 21406788708*p^67*q^560+162468424706*p^65*q^562+1032197422914*p^63*q^564+ 5366738647175*p^61*q^566+20042887356042*p^59*q^568+42803962224953*p^57*q^570+ 39802662008382*p^55*q^572+15437389452564*p^53*q^574+3288260705608*p^51*q^576+ 540776662584*p^49*q^578+70282194346*p^47*q^580+6891472836*p^45*q^582+485095460* p^43*q^584+40737770*p^41*q^586+1212672*p^39*q^588+134722*p^37*q^590+696*p^35*q^ 592+656*p^76*q^550+533220*p^74*q^552+30232762*p^72*q^554+708991090*p^70*q^556+ 7004200454*p^68*q^558+56542945513*p^66*q^560+395698343458*p^64*q^562+ 2300797362802*p^62*q^564+10477071899080*p^60*q^566+31028229060980*p^58*q^568+ 45976159685496*p^56*q^570+27773825196023*p^54*q^572+7731332624106*p^52*q^574+ 1418329241495*p^50*q^576+211905502408*p^48*q^578+23814097937*p^46*q^580+ 2067889446*p^44*q^582+152415796*p^42*q^584+9459412*p^40*q^586+171434*p^38*q^588 +36978*p^36*q^590+308*p^34*q^592+8*p^77*q^548+74412*p^75*q^550+3486822*p^73*q^ 552+146520440*p^71*q^554+2197325540*p^69*q^556+18777153230*p^67*q^558+ 143582653662*p^65*q^560+925354894654*p^63*q^562+4855612609716*p^61*q^564+ 18614129339820*p^59*q^566+41031283476582*p^57*q^568+40233821857800*p^55*q^570+ 16206440764768*p^53*q^572+3541278125419*p^51*q^574+587302510736*p^49*q^576+ 78095791507*p^47*q^578+7703938596*p^45*q^580+555995852*p^43*q^582+47157006*p^41 *q^584+1577158*p^39*q^586+128464*p^37*q^588+778*p^35*q^590+2788*p^76*q^548+ 474120*p^74*q^550+23013411*p^72*q^552+582302558*p^70*q^554+6121880140*p^68*q^ 556+49740396456*p^66*q^558+351319698474*p^64*q^560+2073192032166*p^62*q^562+ 9561955306596*p^60*q^564+29268250075242*p^58*q^566+45074905507193*p^56*q^568+ 28704924690458*p^54*q^570+8221137011121*p^52*q^572+1534238265086*p^50*q^574+ 231656005379*p^48*q^576+26572643910*p^46*q^578+2362504568*p^44*q^580+159771248* p^42*q^582+10932528*p^40*q^584+215792*p^38*q^586+33232*p^36*q^588+28*p^34*q^590 +18356*p^75*q^548+2374549*p^73*q^550+111288772*p^71*q^552+1889465858*p^69*q^554 +16421226484*p^67*q^556+127135461386*p^65*q^558+826178555632*p^63*q^560+ 4408733602407*p^61*q^562+17189716604514*p^59*q^564+39452515694990*p^57*q^566+ 40368714035934*p^55*q^568+17049023029244*p^53*q^570+3795112036190*p^51*q^572+ 638316186647*p^49*q^574+86188444452*p^47*q^576+8607584048*p^45*q^578+636576856* p^43*q^580+52872244*p^41*q^582+2295958*p^39*q^584+60371*p^37*q^586+4952*p^35*q^ 588+20*p^33*q^590+472*p^76*q^546+395027*p^74*q^548+16808576*p^72*q^550+ 483013972*p^70*q^552+5371414754*p^68*q^554+43721323374*p^66*q^556+312998784720* p^64*q^558+1861364864977*p^62*q^560+8757357118840*p^60*q^562+27421833432101*p^ 58*q^564+44277229617258*p^56*q^566+29446121497367*p^54*q^568+8764056895876*p^52 *q^570+1652831890051*p^50*q^572+253720193898*p^48*q^574+29690115955*p^46*q^576+ 2671726900*p^44*q^578+172463662*p^42*q^580+13467686*p^40*q^582+262408*p^38*q^ 584+39622*p^36*q^586+22*p^34*q^588+22658*p^75*q^546+1917462*p^73*q^548+88987239 *p^71*q^550+1606767006*p^69*q^552+14423192496*p^67*q^554+112140935320*p^65*q^ 556+739180906136*p^63*q^558+3980447797408*p^61*q^560+15915217926071*p^59*q^562+ 37642368781928*p^57*q^564+40587501192481*p^55*q^566+17833631584066*p^53*q^568+ 4080839086653*p^51*q^570+691761071668*p^49*q^572+95335780236*p^47*q^574+ 9596499642*p^45*q^576+745979228*p^43*q^578+57249486*p^41*q^580+2615418*p^39*q^ 582+36332*p^37*q^584+6566*p^35*q^586+36*p^76*q^544+193630*p^74*q^546+11845084*p ^72*q^548+380609912*p^70*q^550+4673519608*p^68*q^552+38339260122*p^66*q^554+ 277291538591*p^64*q^556+1674503755934*p^62*q^558+7972841279102*p^60*q^560+ 25770112699982*p^58*q^562+43174313563481*p^56*q^564+30284702714468*p^54*q^566+ 9298671699946*p^52*q^568+1785689877172*p^50*q^570+276783757773*p^48*q^572+ 33182697678*p^46*q^574+3017162058*p^44*q^576+190018960*p^42*q^578+15897786*p^40 *q^580+487476*p^38*q^582+28160*p^36*q^584+332*p^34*q^586+10028*p^75*q^544+ 1660572*p^73*q^546+68308954*p^71*q^548+1372587248*p^69*q^550+12638046366*p^67*q ^552+99183064989*p^65*q^554+659155118092*p^63*q^556+3606394530895*p^61*q^558+ 14650053568614*p^59*q^560+36029006355614*p^57*q^562+40503942637338*p^55*q^564+ 18691446491582*p^53*q^566+4366450859488*p^51*q^568+750651754116*p^49*q^570+ 104898342114*p^47*q^572+10735897962*p^45*q^574+860740522*p^43*q^576+58577816*p^ 41*q^578+3291678*p^39*q^580+30594*p^37*q^582+7120*p^35*q^584+24*p^76*q^542+ 131384*p^74*q^544+8409766*p^72*q^546+305413506*p^70*q^548+4053432960*p^68*q^550 +33583645856*p^66*q^552+246356721698*p^64*q^554+1500357587150*p^62*q^556+ 7282817936646*p^60*q^558+24053290671030*p^58*q^560+42199415061784*p^56*q^562+ 30912744796155*p^54*q^564+9886822929618*p^52*q^566+1922505454473*p^50*q^568+ 302483731000*p^48*q^570+36988954584*p^46*q^572+3374979056*p^44*q^574+216744746* p^42*q^576+19185200*p^40*q^578+602150*p^38*q^580+8792*p^36*q^582+1038*p^34*q^ 584+1700*p^75*q^542+1154384*p^73*q^544+51780080*p^71*q^546+1149610166*p^69*q^ 548+11102828802*p^67*q^550+87360401502*p^65*q^552+588870928839*p^63*q^554+ 3250892459730*p^61*q^556+13524850211311*p^59*q^558+34214519552206*p^57*q^560+ 40512672580806*p^55*q^562+19469592700458*p^53*q^564+4687918040023*p^51*q^566+ 811545319260*p^49*q^568+115548460056*p^47*q^570+12025504016*p^45*q^572+ 996540272*p^43*q^574+61572842*p^41*q^576+3864564*p^39*q^578+75324*p^37*q^580+ 9387*p^35*q^582+8*p^33*q^584+124*p^76*q^540+101224*p^74*q^542+6881726*p^72*q^ 544+243832594*p^70*q^546+3503489254*p^68*q^548+29463295136*p^66*q^550+ 217893566885*p^64*q^552+1347055751768*p^62*q^554+6614901670253*p^60*q^556+ 22512262831790*p^58*q^558+40932747712244*p^56*q^560+31638445550010*p^54*q^562+ 10460983283961*p^52*q^564+2075132680778*p^50*q^566+329556151909*p^48*q^568+ 41334435250*p^46*q^570+3779690870*p^44*q^572+253660644*p^42*q^574+20693594*p^40 *q^576+763572*p^38*q^578+3424*p^36*q^580+632*p^34*q^582+1080*p^75*q^540+712620* p^73*q^542+37095090*p^71*q^544+940972656*p^69*q^546+9691512598*p^67*q^548+ 76922886106*p^65*q^550+523716537428*p^63*q^552+2938860375372*p^61*q^554+ 12414678378630*p^59*q^556+32602079311742*p^57*q^558+40210827136356*p^55*q^560+ 20330931663473*p^53*q^562+5007320553408*p^51*q^564+879292827588*p^49*q^566+ 126712827458*p^47*q^568+13468987518*p^45*q^570+1132969114*p^43*q^572+64110234*p ^41*q^574+5101552*p^39*q^576+122308*p^37*q^578+2964*p^35*q^580+102*p^33*q^582+ 16*p^76*q^538+29968*p^74*q^540+5185886*p^72*q^542+192255066*p^70*q^544+ 3037323752*p^68*q^546+25831270299*p^66*q^548+193463851486*p^64*q^550+ 1205622508112*p^62*q^552+6029127706196*p^60*q^554+20941227131100*p^58*q^556+ 39798622930052*p^56*q^558+32127539896136*p^54*q^560+11090590932116*p^52*q^562+ 2230856226925*p^50*q^564+359159931528*p^48*q^566+45834284847*p^46*q^568+ 4218563986*p^44*q^570+298550160*p^42*q^572+21425412*p^40*q^574+832674*p^38*q^ 576+6596*p^36*q^578+1969*p^34*q^580+1860*p^75*q^538+614404*p^73*q^540+28986982* p^71*q^542+777894414*p^69*q^544+8470130112*p^67*q^546+67583092476*p^65*q^548+ 466758205679*p^63*q^550+2643316918634*p^61*q^552+11423869674158*p^59*q^554+ 30826118921628*p^57*q^556+39997842796091*p^55*q^558+21088404079322*p^53*q^560+ 5368701953428*p^51*q^562+949931818156*p^49*q^564+139464413292*p^47*q^566+ 15213573002*p^45*q^568+1294414510*p^43*q^570+72089656*p^41*q^572+6565816*p^39*q ^574+169956*p^37*q^576+736*p^35*q^578+16*p^33*q^580+12*p^76*q^536+18306*p^74*q^ 538+3589534*p^72*q^540+146847182*p^70*q^542+2574343946*p^68*q^544+22636930536*p ^66*q^546+170664570755*p^64*q^548+1080491467688*p^62*q^550+5463085989047*p^60*q ^552+19530763101998*p^58*q^554+38415225230699*p^56*q^556+32715782583652*p^54*q^ 558+11698381868842*p^52*q^560+2405016265536*p^50*q^562+390004660424*p^48*q^564+ 50846254302*p^46*q^566+4686599063*p^44*q^568+348061022*p^42*q^570+21518516*p^40 *q^572+986388*p^38*q^574+18324*p^36*q^576+780*p^34*q^578+4*p^32*q^580+504*p^75* q^536+301282*p^73*q^538+21683342*p^71*q^540+627370451*p^69*q^542+7384862644*p^ 67*q^544+59426203362*p^65*q^546+414535972378*p^63*q^548+2385204675611*p^61*q^ 550+10458564223298*p^59*q^552+29238057751447*p^57*q^554+39492848480112*p^55*q^ 556+21919591278764*p^53*q^558+5724112381440*p^51*q^560+1028111526764*p^49*q^562 +152634256126*p^47*q^564+17107739419*p^45*q^566+1455810794*p^43*q^568+82425896* p^41*q^570+7029610*p^39*q^572+203956*p^37*q^574+208*p^35*q^576+243*p^33*q^578+ 16*p^76*q^534+14088*p^74*q^536+2842796*p^72*q^538+113651351*p^70*q^540+ 2198258112*p^68*q^542+19831246339*p^66*q^544+151194331024*p^64*q^546+ 964860730433*p^62*q^548+4968346799626*p^60*q^550+18099563869542*p^58*q^552+ 37164432502858*p^56*q^554+33052056594893*p^54*q^556+12366279364534*p^52*q^558+ 2582833526308*p^50*q^560+424313083304*p^48*q^562+56243503345*p^46*q^564+ 5279979702*p^44*q^566+407762378*p^42*q^568+22290682*p^40*q^570+1619792*p^38*q^ 572+28368*p^36*q^574+186*p^34*q^576+272*p^75*q^534+180810*p^73*q^536+16122490*p ^71*q^538+506310670*p^69*q^540+6405384146*p^67*q^542+52082629106*p^65*q^544+ 368578401075*p^63*q^546+2141447509584*p^61*q^548+9597547715731*p^59*q^550+ 27530504818662*p^57*q^552+39068910018259*p^55*q^554+22639551422218*p^53*q^556+ 6123055776154*p^51*q^558+1109317811460*p^49*q^560+167468386453*p^47*q^562+ 19194654958*p^45*q^564+1615962513*p^43*q^566+96962752*p^41*q^568+7383694*p^39*q ^570+146782*p^37*q^572+1712*p^35*q^574+120*p^33*q^576+8828*p^74*q^534+1938188*p ^72*q^536+87366988*p^70*q^538+1828161874*p^68*q^540+17385132256*p^66*q^542+ 133100651024*p^64*q^544+863299136686*p^62*q^546+4491519315793*p^60*q^548+ 16825046491052*p^58*q^550+35688323131143*p^56*q^552+33478064930218*p^54*q^554+ 13000190437097*p^52*q^556+2781308311302*p^50*q^558+459831639706*p^48*q^560+ 62184834758*p^46*q^562+5961548416*p^44*q^564+478755842*p^42*q^566+23477210*p^40 *q^568+1996650*p^38*q^570+55028*p^36*q^572+14*p^32*q^576+332*p^75*q^532+102570* p^73*q^534+12149524*p^71*q^536+398914663*p^69*q^538+5567736068*p^67*q^540+ 45718527188*p^65*q^542+326793856754*p^63*q^544+1928153380768*p^61*q^546+ 8761091140802*p^59*q^548+26004539171117*p^57*q^550+38367047839260*p^55*q^552+ 23427183530709*p^53*q^554+6516517008834*p^51*q^556+1199607999393*p^49*q^558+ 182848876100*p^47*q^560+21532454210*p^45*q^562+1793247580*p^43*q^564+113277172* p^41*q^566+7543292*p^39*q^568+278868*p^37*q^570+2576*p^35*q^572+30*p^33*q^574+ 3862*p^74*q^532+1222262*p^72*q^534+65834896*p^70*q^536+1527306068*p^68*q^538+ 15147648393*p^66*q^540+117579964340*p^64*q^542+769222809088*p^62*q^544+ 4075274196592*p^60*q^546+15540124161917*p^58*q^548+34362903160724*p^56*q^550+ 33642144144806*p^54*q^552+13695028972248*p^52*q^554+2983014124343*p^50*q^556+ 499200768516*p^48*q^558+68579996636*p^46*q^560+6738438108*p^44*q^562+542783296* p^42*q^564+25904350*p^40*q^566+2218936*p^38*q^568+27552*p^36*q^570+72*p^34*q^ 572+8*p^32*q^574+12*p^75*q^530+77680*p^73*q^532+9208506*p^71*q^534+318445544*p^ 69*q^536+4786989248*p^67*q^538+40103916378*p^65*q^540+290118480517*p^63*q^542+ 1728324865542*p^61*q^544+8019167407114*p^59*q^546+24381993438712*p^57*q^548+ 37759395126081*p^55*q^550+24076952670528*p^53*q^552+6954896971711*p^51*q^554+ 1293112002162*p^49*q^556+200104799957*p^47*q^558+24004285370*p^45*q^560+ 2010846816*p^43*q^562+139715516*p^41*q^564+7765226*p^39*q^566+446432*p^37*q^568 +11084*p^35*q^570+3568*p^74*q^530+773828*p^72*q^532+50352226*p^70*q^534+ 1247886227*p^68*q^536+13252916952*p^66*q^538+103220823249*p^64*q^540+ 686541925638*p^62*q^542+3676219538036*p^60*q^544+14393629956104*p^58*q^546+ 32835606341619*p^56*q^548+33898507583284*p^54*q^550+14345969306546*p^52*q^552+ 3209546491652*p^50*q^554+540192051034*p^48*q^556+75685276450*p^46*q^558+ 7675979642*p^44*q^560+607426952*p^42*q^562+29321394*p^40*q^564+2373808*p^38*q^ 566+30920*p^36*q^568+88*p^34*q^570+2*p^32*q^572+92*p^75*q^528+43422*p^73*q^530+ 6395836*p^71*q^532+245151183*p^69*q^534+4088787954*p^67*q^536+35127191350*p^65* q^538+256539018394*p^63*q^540+1553170492521*p^61*q^542+7301821784350*p^59*q^544 +22937906055020*p^57*q^546+36881330866514*p^55*q^548+24802252908932*p^53*q^550+ 7383096903164*p^51*q^552+1396083898653*p^49*q^554+217860052452*p^47*q^556+ 26754228082*p^45*q^558+2235726658*p^43*q^560+166225318*p^41*q^562+7430490*p^39* q^564+558728*p^37*q^566+8720*p^35*q^568+816*p^74*q^528+484956*p^72*q^530+ 38048616*p^70*q^532+1022552728*p^68*q^534+11564112632*p^66*q^536+91019731178*p^ 64*q^538+610973844798*p^62*q^540+3327855976126*p^60*q^542+13255068662895*p^58*q ^544+31461673934200*p^56*q^546+33877420988131*p^54*q^548+15057475295318*p^52*q^ 550+3436532667319*p^50*q^552+586214879198*p^48*q^554+83195722101*p^46*q^556+ 8687977048*p^44*q^558+678424816*p^42*q^560+35087368*p^40*q^562+2622082*p^38*q^ 564+70212*p^36*q^566+1176*p^34*q^568+29736*p^73*q^528+4633336*p^71*q^530+ 193147200*p^69*q^532+3472817160*p^67*q^534+30717407622*p^65*q^536+227300812834* p^63*q^538+1388865595972*p^61*q^540+6664911932782*p^59*q^542+21423080799948*p^ 57*q^544+36101370207081*p^55*q^546+25364990655282*p^53*q^548+7862748620896*p^51 *q^550+1504349429766*p^49*q^552+237586874400*p^47*q^554+29775273778*p^45*q^556+ 2551234514*p^43*q^558+195325502*p^41*q^560+7971904*p^39*q^562+636100*p^37*q^564 +1992*p^35*q^566+1424*p^74*q^526+356830*p^72*q^528+28358236*p^70*q^530+ 819518283*p^68*q^532+10032503052*p^66*q^534+79764108608*p^64*q^536+543976623322 *p^62*q^538+2995764656305*p^60*q^540+12236999851696*p^58*q^542+29927871612793*p ^56*q^544+33951081496496*p^54*q^546+15710078144712*p^52*q^548+3691711326522*p^ 50*q^550+633025436204*p^48*q^552+91652814374*p^46*q^554+9790770879*p^44*q^556+ 745321094*p^42*q^558+43513330*p^40*q^560+2485620*p^38*q^562+109220*p^36*q^564+ 2360*p^34*q^566+2*p^75*q^524+13680*p^73*q^526+2796598*p^71*q^528+147109338*p^69 *q^530+2910615266*p^67*q^532+26924827181*p^65*q^534+200533300014*p^63*q^536+ 1245856334135*p^61*q^538+6053471448886*p^59*q^540+20072730098617*p^57*q^542+ 35082891649716*p^55*q^544+25995774770777*p^53*q^546+8324537557262*p^51*q^548+ 1623185558362*p^49*q^550+258118809950*p^47*q^552+33021039968*p^45*q^554+ 2908347136*p^43*q^556+222183240*p^41*q^558+8527640*p^39*q^560+725992*p^37*q^562 +7220*p^35*q^564+40*p^33*q^566+156*p^74*q^524+221232*p^72*q^526+21581598*p^70*q ^528+659993272*p^68*q^530+8716406840*p^66*q^532+70171501410*p^64*q^534+ 483090582491*p^62*q^536+2706177616462*p^60*q^538+11232643095374*p^58*q^540+ 28539348950788*p^56*q^542+33751190148872*p^54*q^544+16423747994038*p^52*q^546+ 3947505321190*p^50*q^548+686019009280*p^48*q^550+100507063552*p^46*q^552+ 11056573400*p^44*q^554+825426372*p^42*q^556+54916702*p^40*q^558+2359648*p^38*q^ 560+150276*p^36*q^562+60*p^34*q^564+14*p^75*q^522+11280*p^73*q^524+2145468*p^71 *q^526+113228400*p^69*q^528+2429960571*p^67*q^530+23471571348*p^65*q^532+ 177203892624*p^63*q^534+1111752086422*p^61*q^536+5511508796115*p^59*q^538+ 18675884938278*p^57*q^540+34159515992175*p^55*q^542+26454640050102*p^53*q^544+ 8839978074139*p^51*q^546+1746581434420*p^49*q^548+280999218317*p^47*q^550+ 36599133198*p^45*q^552+3326974955*p^43*q^554+249843020*p^41*q^556+9919564*p^39* q^558+814600*p^37*q^560+13900*p^35*q^562+368*p^33*q^564+28*p^74*q^522+130444*p^ 72*q^524+14695560*p^70*q^526+521198513*p^68*q^528+7483837894*p^66*q^530+ 61416281822*p^64*q^532+429323799060*p^62*q^534+2430858656294*p^60*q^536+ 10339712077874*p^58*q^538+27022702078371*p^56*q^540+33637379288462*p^54*q^542+ 17066468707338*p^52*q^544+4232915204074*p^50*q^546+740494028949*p^48*q^548+ 110278331200*p^46*q^550+12397036317*p^44*q^552+928834854*p^42*q^554+66345134*p^ 40*q^556+2387368*p^38*q^558+156668*p^36*q^560+448*p^34*q^562+16*p^75*q^520+5468 *p^73*q^522+1455126*p^71*q^524+86906602*p^69*q^526+2002421836*p^67*q^528+ 20553510251*p^65*q^530+155973326244*p^63*q^532+995046639057*p^61*q^534+ 4992787450460*p^59*q^536+17433940229497*p^57*q^538+33019076401858*p^55*q^540+ 26974004466618*p^53*q^542+9332912596948*p^51*q^544+1883240978388*p^49*q^546+ 304538687622*p^47*q^548+40552031459*p^45*q^550+3802870166*p^43*q^552+273713766* p^41*q^554+12604344*p^39*q^556+752356*p^37*q^558+30376*p^35*q^560+216*p^74*q^ 520+77914*p^72*q^522+10570230*p^70*q^524+409830258*p^68*q^526+6417618030*p^66*q ^528+53889712854*p^64*q^530+380397846200*p^62*q^532+2190653549730*p^60*q^534+ 9462633672738*p^58*q^536+25656286021298*p^56*q^538+33259058162892*p^54*q^540+ 17764682068906*p^52*q^542+4518847618314*p^50*q^544+801555488470*p^48*q^546+ 120530346561*p^46*q^548+13889262402*p^44*q^550+1051138477*p^42*q^552+77522842*p ^40*q^554+2357474*p^38*q^556+201516*p^36*q^558+940*p^34*q^560+24*p^32*q^562+8*p ^75*q^518+554*p^73*q^520+918038*p^71*q^522+65150338*p^69*q^524+1644177174*p^67* q^526+17883413190*p^65*q^528+137563627872*p^63*q^530+886274159086*p^61*q^532+ 4535411685284*p^59*q^534+16159647271888*p^57*q^536+31991927535338*p^55*q^538+ 27300575213626*p^53*q^540+9880192801531*p^51*q^542+2024029283568*p^49*q^544+ 330899518347*p^47*q^546+44851866716*p^45*q^548+4342725392*p^43*q^550+302154622* p^41*q^552+17009726*p^39*q^554+724806*p^37*q^556+29564*p^35*q^558+12*p^33*q^560 +300*p^74*q^518+64258*p^72*q^520+7937202*p^70*q^522+321951813*p^68*q^524+ 5439471206*p^66*q^526+47104353166*p^64*q^528+337265176442*p^62*q^530+ 1963852828359*p^60*q^532+8682151845980*p^58*q^534+24182815412439*p^56*q^536+ 32968495902974*p^54*q^538+18377358964239*p^52*q^540+4837560494318*p^50*q^542+ 864899267077*p^48*q^544+131921269616*p^46*q^546+15501474000*p^44*q^548+ 1212697814*p^42*q^550+88901572*p^40*q^552+2551874*p^38*q^554+229870*p^36*q^556+ 4236*p^34*q^558+1776*p^73*q^518+548542*p^71*q^520+46729188*p^69*q^522+ 1323645942*p^67*q^524+15567316335*p^65*q^526+120707745316*p^63*q^528+ 791242818737*p^61*q^530+4098301020516*p^59*q^532+15030023354177*p^57*q^534+ 30766245312610*p^55*q^536+27699138509237*p^53*q^538+10396477308430*p^51*q^540+ 2179657883996*p^49*q^542+357937606130*p^47*q^544+49540839756*p^45*q^546+ 4927488600*p^43*q^548+328330003*p^41*q^550+20705484*p^39*q^552+650622*p^37*q^ 554+33672*p^35*q^556+24*p^33*q^558+152*p^74*q^516+14668*p^72*q^518+5298306*p^70 *q^520+249485822*p^68*q^522+4604978703*p^66*q^524+41276790666*p^64*q^526+ 298286486570*p^62*q^528+1766363828254*p^60*q^530+7925143556145*p^58*q^532+ 22859461400784*p^56*q^534+32416257927590*p^54*q^536+19043580769422*p^52*q^538+ 5152371338186*p^50*q^540+935431490032*p^48*q^542+143698731360*p^46*q^544+ 17290683860*p^44*q^546+1396540499*p^42*q^548+99214030*p^40*q^550+3546842*p^38*q ^552+215400*p^36*q^554+5688*p^34*q^556+2738*p^73*q^516+453560*p^71*q^518+ 36200858*p^69*q^520+1078223843*p^67*q^522+13465536296*p^65*q^524+106296954199*p ^63*q^526+703273805552*p^61*q^528+3712576963867*p^59*q^530+13883139221686*p^57* q^532+29652196811106*p^55*q^534+27883800817962*p^53*q^536+10971997171267*p^51*q ^538+2340436980732*p^49*q^540+388665187021*p^47*q^542+54655105522*p^45*q^544+ 5604780398*p^43*q^546+370650266*p^41*q^548+25849688*p^39*q^550+634284*p^37*q^ 552+53116*p^35*q^554+312*p^33*q^556+76*p^74*q^514+14196*p^72*q^516+3484860*p^70 *q^518+187754166*p^68*q^520+3816991680*p^66*q^522+35992375891*p^64*q^524+ 263612902106*p^62*q^526+1579379487115*p^60*q^528+7250139948522*p^58*q^530+ 21457536537520*p^56*q^532+31963089943054*p^54*q^534+19607095351076*p^52*q^536+ 5505055218336*p^50*q^538+1008303158134*p^48*q^540+156681323466*p^46*q^542+ 19248838563*p^44*q^544+1611483832*p^42*q^546+107831486*p^40*q^548+4553882*p^38* q^550+178082*p^36*q^552+3640*p^34*q^554+1684*p^73*q^514+203714*p^71*q^516+ 25859266*p^69*q^518+855659482*p^67*q^520+11641864682*p^65*q^522+93105316482*p^ 63*q^524+626851501143*p^61*q^526+3348159733908*p^59*q^528+12866749783608*p^57*q ^530+28381220811492*p^55*q^532+28131855315329*p^53*q^534+11503342993102*p^51*q^ 536+2517340674838*p^49*q^538+419836063684*p^47*q^540+60186742233*p^45*q^542+ 6290096234*p^43*q^544+419914130*p^41*q^546+30021242*p^39*q^548+659530*p^37*q^ 550+59644*p^35*q^552+948*p^33*q^554+16272*p^72*q^514+2548234*p^70*q^516+ 144884952*p^68*q^518+3190897634*p^66*q^520+31501332698*p^64*q^522+232588944965* p^62*q^524+1417128063834*p^60*q^526+6597365521049*p^58*q^528+20193235449988*p^ 56*q^530+31259685097144*p^54*q^532+20223121757812*p^52*q^534+5851003352212*p^50 *q^536+1090034855984*p^48*q^538+170360768230*p^46*q^540+21470627686*p^44*q^542+ 1869181044*p^42*q^544+116887614*p^40*q^546+6233886*p^38*q^548+184866*p^36*q^550 +7872*p^34*q^552+8*p^32*q^554+1412*p^73*q^512+120016*p^71*q^514+18414422*p^69*q ^516+674770078*p^67*q^518+9938185364*p^65*q^520+81685988921*p^63*q^522+ 555722453546*p^61*q^524+3025912714360*p^59*q^526+11844760800476*p^57*q^528+ 27221729848179*p^55*q^530+28173161355356*p^53*q^532+12093749767078*p^51*q^534+ 2698959305220*p^49*q^536+455454994409*p^47*q^538+66060884692*p^45*q^540+ 7075419093*p^43*q^542+483669630*p^41*q^544+34367052*p^39*q^546+810332*p^37*q^ 548+44956*p^35*q^550+232*p^33*q^552+13572*p^72*q^512+1657216*p^70*q^514+ 109474450*p^68*q^516+2624280860*p^66*q^518+27416318247*p^64*q^520+205304476756* p^62*q^522+1264779572685*p^60*q^524+6019639670544*p^58*q^526+18876911296034*p^ 56*q^528+30647656443478*p^54*q^530+20719525938734*p^52*q^532+6235346701808*p^50 *q^534+1173942368308*p^48*q^536+185165440254*p^46*q^538+23854334269*p^44*q^540+ 2146934794*p^42*q^542+127773582*p^40*q^544+7985008*p^38*q^546+169598*p^36*q^548 +13196*p^34*q^550+96*p^32*q^552+116*p^73*q^510+93088*p^71*q^512+12944745*p^69*q ^514+525580556*p^67*q^516+8461790935*p^65*q^518+71424975952*p^63*q^520+ 493837533094*p^61*q^522+2721263096000*p^59*q^524+10940239847566*p^57*q^526+ 25922320917610*p^55*q^528+28275051069208*p^53*q^530+12633758782312*p^51*q^532+ 2900055076259*p^49*q^534+492036372878*p^47*q^536+72600978435*p^45*q^538+ 7947245900*p^43*q^540+567788976*p^41*q^542+37705138*p^39*q^544+1139450*p^37*q^ 546+41374*p^35*q^548+684*p^33*q^550+12248*p^72*q^510+926196*p^70*q^512+81492528 *p^68*q^514+2143212043*p^66*q^516+23897380836*p^64*q^518+180600885980*p^62*q^ 520+1132375117106*p^60*q^522+5463413302167*p^58*q^524+17696163476096*p^56*q^526 +29818486529369*p^54*q^528+21260021936826*p^52*q^530+6610467443145*p^50*q^532+ 1267168360414*p^48*q^534+200651246014*p^46*q^536+26472541530*p^44*q^538+ 2432115565*p^42*q^540+139041770*p^40*q^542+9504074*p^38*q^544+129000*p^36*q^546 +10528*p^34*q^548+8*p^32*q^550+8*p^73*q^508+81560*p^71*q^510+9511092*p^69*q^512 +411678474*p^67*q^514+7169061982*p^65*q^516+62599279279*p^63*q^518+436995662898 *p^61*q^520+2453704538476*p^59*q^522+10037253880440*p^57*q^524+24745145928085*p ^55*q^526+28150094674814*p^53*q^528+13230823772765*p^51*q^530+3104744898904*p^ 49*q^532+533574801509*p^47*q^534+79406722778*p^45*q^536+8933728371*p^43*q^538+ 672728582*p^41*q^540+41829352*p^39*q^542+1799566*p^37*q^544+56626*p^35*q^546+ 1952*p^33*q^548+4*p^31*q^550+4220*p^72*q^508+641726*p^70*q^510+59660920*p^68*q^ 512+1724050986*p^66*q^514+20637423415*p^64*q^516+158893732074*p^62*q^518+ 1008189616235*p^60*q^520+4970089499404*p^58*q^522+16473361826832*p^56*q^524+ 29085726257234*p^54*q^526+21675888258074*p^52*q^528+7026598356446*p^50*q^530+ 1363821972800*p^48*q^532+217954593376*p^46*q^534+29355984851*p^44*q^536+ 2773127612*p^42*q^538+159235172*p^40*q^540+11077270*p^38*q^542+144546*p^36*q^ 544+6552*p^34*q^546+28*p^32*q^548+8*p^73*q^506+74886*p^71*q^508+5995510*p^69*q^ 510+315060180*p^67*q^512+6019598012*p^65*q^514+54639567090*p^63*q^516+ 387510754538*p^61*q^518+2201691620716*p^59*q^520+9240445417767*p^57*q^522+ 23455916531854*p^55*q^524+28099414546003*p^53*q^526+13759535574398*p^51*q^528+ 3330668335193*p^49*q^530+575795709436*p^47*q^532+86700232720*p^45*q^534+ 9980245122*p^43*q^536+773702737*p^41*q^538+43048942*p^39*q^540+2234472*p^37*q^ 542+28200*p^35*q^544+2024*p^33*q^546+524*p^72*q^506+426400*p^70*q^508+44156090* p^68*q^510+1383268456*p^66*q^512+17849360640*p^64*q^514+139472644545*p^62*q^516 +900358629756*p^60*q^518+4499548034822*p^58*q^520+15381723897400*p^56*q^522+ 28140979164226*p^54*q^524+22132586790128*p^52*q^526+7428121079365*p^50*q^528+ 1471205618906*p^48*q^530+236076700143*p^46*q^532+32561998574*p^44*q^534+ 3141120780*p^42*q^536+190972284*p^40*q^538+12949626*p^38*q^540+309240*p^36*q^ 542+13444*p^34*q^544+172*p^32*q^546+48052*p^71*q^506+4192232*p^69*q^508+ 242442310*p^67*q^510+5030790962*p^65*q^512+47804272773*p^63*q^514+342059426958* p^61*q^516+1980221252556*p^59*q^518+8451780255486*p^57*q^520+22282269488434*p^ 55*q^522+27825605882772*p^53*q^524+14348859253890*p^51*q^526+3559294582002*p^49 *q^528+623733026098*p^47*q^530+94387051636*p^45*q^532+11192346010*p^43*q^534+ 899188288*p^41*q^536+44838320*p^39*q^538+2817940*p^37*q^540+12456*p^35*q^542+ 940*p^33*q^544+8*p^74*q^502+340*p^72*q^504+404844*p^70*q^506+31546256*p^68*q^ 508+1093590480*p^66*q^510+15258386183*p^64*q^512+122360643436*p^62*q^514+ 799535167703*p^60*q^516+4081698923376*p^58*q^518+14264900664532*p^56*q^520+ 27306100426242*p^54*q^522+22439780502456*p^52*q^524+7874520071290*p^50*q^526+ 1581974338154*p^48*q^528+256380303526*p^46*q^530+35948183058*p^44*q^532+ 3553481486*p^42*q^534+225252442*p^40*q^536+14465908*p^38*q^538+441964*p^36*q^ 540+9672*p^34*q^542+260*p^32*q^544+13116*p^71*q^504+2482600*p^69*q^506+ 180987974*p^67*q^508+4141481112*p^65*q^510+41648591608*p^63*q^512+302555729769* p^61*q^514+1773129350570*p^59*q^516+7755448349909*p^57*q^518+21029896068302*p^ 55*q^520+27619400150971*p^53*q^522+14859487685874*p^51*q^524+3811537002654*p^49 *q^526+672314207174*p^47*q^528+102680914580*p^45*q^530+12488502810*p^43*q^532+ 1031220242*p^41*q^534+50494484*p^39*q^536+3262954*p^37*q^538+34568*p^35*q^540+ 1732*p^33*q^542+8*p^31*q^544+6*p^74*q^500+40*p^72*q^502+310298*p^70*q^504+ 22614830*p^68*q^506+866767773*p^66*q^508+13108536940*p^64*q^510+107139896232*p^ 62*q^512+712520063678*p^60*q^514+3684769846160*p^58*q^516+13266831207190*p^56*q ^518+26285065186694*p^54*q^520+22791038976324*p^52*q^522+8295545604836*p^50*q^ 524+1705034599876*p^48*q^526+277723648581*p^46*q^528+39651175728*p^44*q^530+ 4016483072*p^42*q^532+267352500*p^40*q^534+14388152*p^38*q^536+626874*p^36*q^ 538+784*p^34*q^540+120*p^32*q^542+120*p^73*q^500+7006*p^71*q^502+2054520*p^69*q ^504+137196930*p^67*q^506+3394021846*p^65*q^508+36177798325*p^63*q^510+ 266334892948*p^61*q^512+1590451954007*p^59*q^514+7071526942280*p^57*q^516+ 19885630439504*p^55*q^518+27204023056030*p^53*q^520+15425163951800*p^51*q^522+ 4066694782658*p^49*q^524+727884724712*p^47*q^526+111476505080*p^45*q^528+ 14006160736*p^43*q^530+1179770350*p^41*q^532+59602354*p^39*q^534+4239982*p^37*q ^536+68178*p^35*q^538+2712*p^33*q^540+16*p^31*q^542+16*p^72*q^500+155406*p^70*q ^502+14723181*p^68*q^504+671308186*p^66*q^506+11079390942*p^64*q^508+ 93972009798*p^62*q^510+631284802737*p^60*q^512+3334580291800*p^58*q^514+ 12258441664073*p^56*q^516+25370312759226*p^54*q^518+22986911394126*p^52*q^520+ 8763232593978*p^50*q^522+1830532112066*p^48*q^524+301165524388*p^46*q^526+ 43454396976*p^44*q^528+4519475230*p^42*q^530+314845762*p^40*q^532+14252876*p^38 *q^534+705448*p^36*q^536+1996*p^34*q^538+108*p^32*q^540+140*p^73*q^498+1910*p^ 71*q^500+1609868*p^69*q^502+102092672*p^67*q^504+2754211787*p^65*q^506+ 31375568244*p^63*q^508+234781720081*p^61*q^510+1420325615292*p^59*q^512+ 6469034014890*p^57*q^514+18680233231870*p^55*q^516+26852534898786*p^53*q^518+ 15901607762586*p^51*q^520+4346899248066*p^49*q^522+784621358398*p^47*q^524+ 121306717771*p^45*q^526+15643192460*p^43*q^528+1353930428*p^41*q^530+71615058*p ^39*q^532+4781184*p^37*q^534+112150*p^35*q^536+28*p^33*q^538+8*p^31*q^540+752*p ^72*q^498+81144*p^70*q^500+10274184*p^68*q^502+518563532*p^66*q^504+9366442740* p^64*q^506+82056363769*p^62*q^508+561125621364*p^60*q^510+3002643223424*p^58*q^ 512+11359580766024*p^56*q^514+24300423701768*p^54*q^516+23220630910288*p^52*q^ 518+9200977011537*p^50*q^520+1970686928408*p^48*q^522+325634184200*p^46*q^524+ 47539732530*p^44*q^526+5085481938*p^42*q^528+361192950*p^40*q^530+15018876*p^38 *q^532+908246*p^36*q^534+7368*p^34*q^536+428*p^32*q^538+716*p^71*q^498+1071608* p^69*q^500+74086146*p^67*q^502+2222791826*p^65*q^504+27130721723*p^63*q^506+ 206204007180*p^61*q^508+1271124757743*p^59*q^510+5880171837436*p^57*q^512+ 17590538085787*p^55*q^514+26296697179208*p^53*q^516+16425269447558*p^51*q^518+ 4627470236916*p^49*q^520+848307902617*p^47*q^522+131704874206*p^45*q^524+ 17482716978*p^43*q^526+1541746156*p^41*q^528+88723586*p^39*q^530+4759764*p^37*q ^532+157682*p^35*q^534+40*p^33*q^536+4*p^31*q^538+1516*p^72*q^496+38652*p^70*q^ 498+8102600*p^68*q^500+400053432*p^66*q^502+7810424427*p^64*q^504+71735219790*p ^62*q^506+495904719797*p^60*q^508+2709348580462*p^58*q^510+10457077607672*p^56* q^512+23336075498308*p^54*q^514+23291596152749*p^52*q^516+9686828509922*p^50*q^ 518+2114035301825*p^48*q^520+353265513996*p^46*q^522+51811692462*p^44*q^524+ 5743990876*p^42*q^526+423375213*p^40*q^528+17271734*p^38*q^530+1278336*p^36*q^ 532+13256*p^34*q^534+2932*p^71*q^496+653988*p^69*q^498+50466568*p^67*q^500+ 1758322338*p^65*q^502+23307711116*p^63*q^504+181290443764*p^61*q^506+ 1132152476172*p^59*q^508+5362584674695*p^57*q^510+16452700905254*p^55*q^512+ 25823307779050*p^53*q^514+16848647983786*p^51*q^516+4933943708161*p^49*q^518+ 913547555440*p^47*q^520+143054464659*p^45*q^522+19373487020*p^43*q^524+ 1746136372*p^41*q^526+102419102*p^39*q^528+4291134*p^37*q^530+142090*p^35*q^532 +468*p^33*q^534+28*p^31*q^536+200*p^72*q^494+12830*p^70*q^496+5547062*p^68*q^ 498+307250199*p^66*q^500+6507549946*p^64*q^502+62537127135*p^62*q^504+ 439759939706*p^60*q^506+2434038123520*p^58*q^508+9656532317402*p^56*q^510+ 22239284598899*p^54*q^512+23400863548954*p^52*q^514+10128563084458*p^50*q^516+ 2273513824256*p^48*q^518+381684681341*p^46*q^520+56515406262*p^44*q^522+ 6486688771*p^42*q^524+487581568*p^40*q^526+22212158*p^38*q^528+1521348*p^36*q^ 530+33024*p^34*q^532+9000*p^71*q^494+407682*p^69*q^496+38781346*p^67*q^498+ 1396265196*p^65*q^500+19990811535*p^63*q^502+158826470992*p^61*q^504+ 1010306659480*p^59*q^506+4860317344552*p^57*q^508+15422693054482*p^55*q^510+ 25147405097224*p^53*q^512+17320995264219*p^51*q^514+5239699634578*p^49*q^516+ 987073596823*p^47*q^518+155233311382*p^45*q^520+21467559112*p^43*q^522+ 1985469654*p^41*q^524+122830402*p^39*q^526+4124304*p^37*q^528+238816*p^35*q^530 +820*p^33*q^532+8*p^72*q^492+14440*p^70*q^494+3972948*p^68*q^496+223562674*p^66 *q^498+5327173705*p^64*q^500+54371292712*p^62*q^502+387320827208*p^60*q^504+ 2190307398218*p^58*q^506+8858487902300*p^56*q^508+21252309947402*p^54*q^510+ 23342906522180*p^52*q^512+10622675084120*p^50*q^514+2435232747467*p^48*q^516+ 413595374688*p^46*q^518+61443345788*p^44*q^520+7334735668*p^42*q^522+560902134* p^40*q^524+26667454*p^38*q^526+1473734*p^36*q^528+23038*p^34*q^530+12*p^32*q^ 532+3968*p^71*q^492+166956*p^69*q^494+26829634*p^67*q^496+1098542386*p^65*q^498 +17000304118*p^63*q^500+139450816822*p^61*q^502+898182667714*p^59*q^504+ 4419259758770*p^57*q^506+14368891723942*p^55*q^508+24558082453192*p^53*q^510+ 17673516895498*p^51*q^512+5573010542921*p^49*q^514+1061744107200*p^47*q^516+ 168505129832*p^45*q^518+23555639198*p^43*q^520+2241558081*p^41*q^522+142355604* p^39*q^524+4881392*p^37*q^526+357664*p^35*q^528+4652*p^33*q^530+32934*p^70*q^ 492+2762088*p^68*q^494+168590774*p^66*q^496+4356781168*p^64*q^498+47211824649*p ^62*q^500+342398113512*p^60*q^502+1961780262461*p^58*q^504+8150213396682*p^56*q ^506+20155733690366*p^54*q^508+23319734181408*p^52*q^510+11063295636801*p^50*q^ 512+2615779574226*p^48*q^514+446807619820*p^46*q^516+67024406090*p^44*q^518+ 8270855727*p^42*q^520+649346562*p^40*q^522+33025559*p^38*q^524+1177096*p^36*q^ 526+29388*p^34*q^528+20*p^32*q^530+492*p^71*q^490+119668*p^69*q^492+19764608*p^ 67*q^494+852398978*p^65*q^496+14385734603*p^63*q^498+121775879054*p^61*q^500+ 799401376674*p^59*q^502+3994054867602*p^57*q^504+13413540115431*p^55*q^506+ 23791972454038*p^53*q^508+18077137198270*p^51*q^510+5899824547662*p^49*q^512+ 1146432529220*p^47*q^514+182622554508*p^45*q^516+25822430144*p^43*q^518+ 2556082638*p^41*q^520+164646526*p^39*q^522+6065836*p^37*q^524+458648*p^35*q^526 +5254*p^33*q^528+32636*p^70*q^490+1549568*p^68*q^492+123186142*p^66*q^494+ 3512009340*p^64*q^496+40854622338*p^62*q^498+300957724724*p^60*q^500+ 1760843324302*p^58*q^502+7451594828814*p^56*q^504+19165355873602*p^54*q^506+ 23132907617244*p^52*q^508+11549130072822*p^50*q^510+2798075870048*p^48*q^512+ 483554537190*p^46*q^514+72755895792*p^44*q^516+9310968790*p^42*q^518+735768713* p^40*q^520+39591062*p^38*q^522+1092748*p^36*q^524+54648*p^34*q^526+328*p^32*q^ 528+216*p^71*q^488+110500*p^69*q^490+14456894*p^67*q^492+652558658*p^65*q^494+ 12068975442*p^63*q^496+106597416182*p^61*q^498+708376982340*p^59*q^500+ 3620920150688*p^57*q^502+12444299316592*p^55*q^504+23107644786222*p^53*q^506+ 18351618594592*p^51*q^508+6258880216435*p^49*q^510+1232486649654*p^47*q^512+ 198282110939*p^45*q^514+28230418734*p^43*q^516+2911739882*p^41*q^518+195498124* p^39*q^520+7792231*p^37*q^522+394546*p^35*q^524+2170*p^33*q^526+9412*p^70*q^488 +947604*p^68*q^490+89114992*p^66*q^492+2824810118*p^64*q^494+35213832746*p^62*q ^496+265233658356*p^60*q^498+1573130152961*p^58*q^500+6833310423468*p^56*q^502+ 18091833742078*p^54*q^504+22983364118454*p^52*q^506+11976483785181*p^50*q^508+ 2999074817148*p^48*q^510+521684565674*p^46*q^512+79197881584*p^44*q^514+ 10347516726*p^42*q^516+838209932*p^40*q^518+44322938*p^38*q^520+1188224*p^36*q^ 522+99172*p^34*q^524+1000*p^32*q^526+4*p^71*q^486+150714*p^69*q^488+9909376*p^ 67*q^490+501414492*p^65*q^492+10073087613*p^63*q^494+92856226882*p^61*q^496+ 629041158175*p^59*q^498+3263199708066*p^57*q^500+11571798479695*p^55*q^502+ 22265354927644*p^53*q^504+18664276034873*p^51*q^506+6604720414208*p^49*q^508+ 1329809512187*p^47*q^510+214823442966*p^45*q^512+30871113594*p^43*q^514+ 3344883102*p^41*q^516+227246064*p^39*q^518+10551368*p^37*q^520+301338*p^35*q^ 522+5196*p^33*q^524+8*p^31*q^526+4844*p^70*q^486+632644*p^68*q^488+66584434*p^ 66*q^490+2237567633*p^64*q^492+30195373256*p^62*q^494+232506923725*p^60*q^496+ 1407604009626*p^58*q^498+6225180262327*p^56*q^500+17123340325826*p^54*q^502+ 22667824954643*p^52*q^504+12450867204144*p^50*q^506+3202951982419*p^48*q^508+ 564398254530*p^46*q^510+85947800042*p^44*q^512+11494179910*p^42*q^514+958407782 *p^40*q^516+53706410*p^38*q^518+1472938*p^36*q^520+119192*p^34*q^522+76*p^32*q^ 524+3*p^73*q^482+32*p^71*q^484+88010*p^69*q^486+6281496*p^67*q^488+370535850*p^ 65*q^490+8297600194*p^63*q^492+80987370471*p^61*q^494+555672736606*p^59*q^496+ 2949516288895*p^57*q^498+10694487536862*p^55*q^500+21514431871911*p^53*q^502+ 18848779404342*p^51*q^504+6981061750626*p^49*q^506+1428477217584*p^47*q^508+ 232813155908*p^45*q^510+33612534368*p^43*q^512+3811327254*p^41*q^514+259115970* p^39*q^516+11373332*p^37*q^518+239176*p^35*q^520+12804*p^33*q^522+104*p^31*q^ 524+544*p^70*q^484+555196*p^68*q^486+48356310*p^66*q^488+1775473840*p^64*q^490+ 25826084404*p^62*q^492+204437075892*p^60*q^494+1254779109782*p^58*q^496+ 5690622847136*p^56*q^498+16087112038780*p^54*q^500+22399144923974*p^52*q^502+ 12844737654397*p^50*q^504+3427598636750*p^48*q^506+608313146519*p^46*q^508+ 93596360438*p^44*q^510+12654372176*p^42*q^512+1098264962*p^40*q^514+63782186*p^ 38*q^516+2436532*p^36*q^518+89100*p^34*q^520+296*p^32*q^522+50576*p^69*q^484+ 4285874*p^67*q^486+281915744*p^65*q^488+6810555634*p^63*q^490+70243669530*p^61* q^492+491815986170*p^59*q^494+2650042827304*p^57*q^496+9903141761586*p^55*q^498 +20620931277268*p^53*q^500+19067485348010*p^51*q^502+7343642087868*p^49*q^504+ 1539838949910*p^47*q^506+252126398408*p^45*q^508+36688305098*p^43*q^510+ 4348408356*p^41*q^512+301080982*p^39*q^514+13853102*p^37*q^516+222140*p^35*q^ 518+25956*p^33*q^520+54*p^72*q^480+716*p^70*q^482+503614*p^68*q^484+34225604*p^ 66*q^486+1372412998*p^64*q^488+21884123138*p^62*q^490+178605806431*p^60*q^492+ 1119629230168*p^58*q^494+5168304734624*p^56*q^496+15156860669164*p^54*q^498+ 21966984122753*p^52*q^500+13292784269318*p^50*q^502+3650634122706*p^48*q^504+ 657663478752*p^46*q^506+101463671154*p^44*q^508+13924426528*p^42*q^510+ 1264219114*p^40*q^512+73828604*p^38*q^514+2828788*p^36*q^516+60680*p^34*q^518+ 856*p^32*q^520+4*p^30*q^522+15424*p^69*q^482+2679066*p^67*q^484+206009219*p^65* q^486+5535744626*p^63*q^488+60940457330*p^61*q^490+433484140740*p^59*q^492+ 2388198840854*p^57*q^494+9118605797310*p^55*q^496+19819802224220*p^53*q^498+ 19145915332668*p^51*q^500+7734465262052*p^49*q^502+1652839778040*p^47*q^504+ 273039346593*p^45*q^506+39874182732*p^43*q^508+4899919141*p^41*q^510+343565556* p^39*q^512+16413410*p^37*q^514+419352*p^35*q^516+22556*p^33*q^518+8*p^31*q^520+ 244*p^70*q^480+338088*p^68*q^482+24185594*p^66*q^484+1069790734*p^64*q^486+ 18456052391*p^62*q^488+156673219628*p^60*q^490+994885998199*p^58*q^492+ 4708162847674*p^56*q^494+14178250863328*p^54*q^496+21583909938006*p^52*q^498+ 13648359047776*p^50*q^500+3898676604100*p^48*q^502+708482881672*p^46*q^504+ 110404234734*p^44*q^506+15270635746*p^42*q^508+1470060178*p^40*q^510+87462254*p ^38*q^512+3364448*p^36*q^514+35394*p^34*q^516+3468*p^32*q^518+414*p^71*q^478+ 8080*p^69*q^480+2338500*p^67*q^482+155005802*p^65*q^484+4465698119*p^63*q^486+ 52577106548*p^61*q^488+382398218531*p^59*q^490+2139675787786*p^57*q^492+ 8411817194796*p^55*q^494+18901251478642*p^53*q^496+19261695262709*p^51*q^498+ 8102135856200*p^49*q^500+1779613994964*p^47*q^502+295266854282*p^45*q^504+ 43490547393*p^43*q^506+5469967492*p^41*q^508+393613882*p^39*q^510+19049082*p^37 *q^512+620476*p^35*q^514+15676*p^33*q^516+22*p^31*q^518+36*p^70*q^478+180650*p^ 68*q^480+15674734*p^66*q^482+808246933*p^64*q^484+15413470442*p^62*q^486+ 136441351382*p^60*q^488+885233188798*p^58*q^490+4262689516512*p^56*q^492+ 13296432367868*p^54*q^494+21053393849522*p^52*q^496+14049572162448*p^50*q^498+ 4143383156809*p^48*q^500+765822220760*p^46*q^502+119660934455*p^44*q^504+ 16714301344*p^42*q^506+1717088792*p^40*q^508+102087776*p^38*q^510+4142638*p^36* q^512+50036*p^34*q^514+4398*p^32*q^516+84*p^71*q^476+6228*p^69*q^478+1746880*p^ 67*q^480+113916976*p^65*q^482+3570036116*p^63*q^484+45318838973*p^61*q^486+ 336054033410*p^59*q^488+1922968831218*p^57*q^490+7715110475434*p^55*q^492+ 18073579111272*p^53*q^494+19234548982162*p^51*q^496+8502086315639*p^49*q^498+ 1907193306030*p^47*q^500+319319785177*p^45*q^502+47244946116*p^43*q^504+ 6097098372*p^41*q^506+449407190*p^39*q^508+22900760*p^37*q^510+736004*p^35*q^ 512+7604*p^33*q^514+244*p^31*q^516+1788*p^70*q^476+75852*p^68*q^478+11310194*p^ 66*q^480+614037340*p^64*q^482+12812094482*p^62*q^484+119130514818*p^60*q^486+ 784221870237*p^58*q^488+3869994483742*p^56*q^490+12384912745663*p^54*q^492+ 20570915211220*p^52*q^494+14354439298634*p^50*q^496+4411904508632*p^48*q^498+ 825005110123*p^46*q^500+130193791644*p^44*q^502+18242863489*p^42*q^504+ 1970932286*p^40*q^506+118725200*p^38*q^508+4515216*p^36*q^510+101816*p^34*q^512 +3010*p^32*q^514+1184*p^69*q^476+1229332*p^67*q^478+80958594*p^65*q^480+ 2833611976*p^63*q^482+38721576616*p^61*q^484+295824525255*p^59*q^486+ 1717884053020*p^57*q^488+7093388746418*p^55*q^490+17147492636432*p^53*q^492+ 19239768096330*p^51*q^494+8869197242750*p^49*q^496+2050918949013*p^47*q^498+ 344806566430*p^45*q^500+51429593106*p^43*q^502+6747786074*p^41*q^504+532599455* p^39*q^506+27270208*p^37*q^508+1023316*p^35*q^510+5320*p^33*q^512+574*p^31*q^ 514+1274*p^70*q^474+70406*p^68*q^476+8522686*p^66*q^478+468836363*p^64*q^480+ 10546907938*p^62*q^482+103499979170*p^60*q^484+695512032214*p^58*q^486+ 3492180890486*p^56*q^488+11562926142458*p^54*q^490+19951928160876*p^52*q^492+ 14699362270504*p^50*q^494+4676454785737*p^48*q^496+891043384140*p^46*q^498+ 141054869936*p^44*q^500+19957568018*p^42*q^502+2256993050*p^40*q^504+134343050* p^38*q^506+5540854*p^36*q^508+131120*p^34*q^510+1550*p^32*q^512+8*p^30*q^514+ 5361*p^69*q^474+638860*p^67*q^476+56125746*p^65*q^478+2190765726*p^63*q^480+ 32970153741*p^61*q^482+258841779616*p^59*q^484+1538707370171*p^57*q^486+ 6481943508336*p^55*q^488+16319603816842*p^53*q^490+19104748150288*p^51*q^492+ 9268364172872*p^49*q^494+2195063507556*p^47*q^496+373144870588*p^45*q^498+ 55844068338*p^43*q^500+7437674228*p^41*q^502+626243934*p^39*q^504+32668764*p^37 *q^506+1029296*p^35*q^508+11044*p^33*q^510+356*p^31*q^512+80*p^70*q^472+22520*p ^68*q^474+6204008*p^66*q^476+350325174*p^64*q^478+8672326729*p^62*q^480+ 90063946544*p^60*q^482+614846232589*p^58*q^484+3161767622102*p^56*q^486+ 10724261031284*p^54*q^488+19390048406716*p^52*q^490+14935608648491*p^50*q^492+ 4963888982634*p^48*q^494+958987922520*p^46*q^496+152844814664*p^44*q^498+ 21707434497*p^42*q^500+2550294592*p^40*q^502+153134504*p^38*q^504+6463552*p^36* q^506+227810*p^34*q^508+836*p^32*q^510+36*p^30*q^512+8308*p^69*q^472+507314*p^ 67*q^474+41862426*p^65*q^476+1721334138*p^63*q^478+27842182428*p^61*q^480+ 227085520137*p^59*q^482+1370233886466*p^57*q^484+5935185801396*p^55*q^486+ 15404801021508*p^53*q^488+19004252803577*p^51*q^490+9624431329786*p^49*q^492+ 2357504499974*p^47*q^494+402973112230*p^45*q^496+61058107002*p^43*q^498+ 8202388340*p^41*q^500+746597131*p^39*q^502+39525838*p^37*q^504+1292078*p^35*q^ 506+15888*p^33*q^508+214*p^31*q^510+88*p^70*q^470+20656*p^68*q^472+4159144*p^66 *q^474+254593458*p^64*q^476+6971960770*p^62*q^478+77712696950*p^60*q^480+ 543359155228*p^58*q^482+2844090132665*p^56*q^484+9971698801772*p^54*q^486+ 18704535087254*p^52*q^488+15216113311346*p^50*q^490+5245509861807*p^48*q^492+ 1034753424244*p^46*q^494+165392824823*p^44*q^496+23594094450*p^42*q^498+ 2860131666*p^40*q^500+177959506*p^38*q^502+7700178*p^36*q^504+222636*p^34*q^506 +778*p^32*q^508+20*p^30*q^510+2132*p^69*q^470+260376*p^67*q^472+29171296*p^65*q ^474+1323025438*p^63*q^476+23470944193*p^61*q^478+198343974528*p^59*q^480+ 1224073607574*p^57*q^482+5405717048224*p^55*q^484+14587510507403*p^53*q^486+ 18760176061350*p^51*q^488+10012459789747*p^49*q^490+2516867227760*p^47*q^492+ 435910742622*p^45*q^494+66156390396*p^43*q^496+9014705067*p^41*q^498+871783930* p^39*q^500+44074139*p^37*q^502+1454052*p^35*q^504+41268*p^33*q^506+120*p^31*q^ 508+8*p^70*q^468+32842*p^68*q^470+2911488*p^66*q^472+189727842*p^64*q^474+ 5615018940*p^62*q^476+67111781032*p^60*q^478+478551154955*p^58*q^480+ 2565422006160*p^56*q^482+9210776039615*p^54*q^484+18076763153090*p^52*q^486+ 15376691691753*p^50*q^488+5551744698628*p^48*q^490+1113772939936*p^46*q^492+ 179222368142*p^44*q^494+25753850325*p^42*q^496+3203859766*p^40*q^498+213941896* p^38*q^500+10116852*p^36*q^502+279812*p^34*q^504+1008*p^32*q^506+14*p^30*q^508+ 1500*p^69*q^468+149438*p^67*q^470+21556806*p^65*q^472+1010535944*p^63*q^474+ 19565120000*p^61*q^476+173384128391*p^59*q^478+1086713489304*p^57*q^480+ 4933204147302*p^55*q^482+13706295512646*p^53*q^484+18557112840334*p^51*q^486+ 10347449665930*p^49*q^488+2697635227302*p^47*q^490+470087795784*p^45*q^492+ 72104812828*p^43*q^494+9819500814*p^41*q^496+1007244817*p^39*q^498+49631354*p^ 37*q^500+1580440*p^35*q^502+44680*p^33*q^504+42*p^31*q^506+21000*p^68*q^468+ 1982220*p^66*q^470+136233642*p^64*q^472+4459550656*p^62*q^474+57460956429*p^60* q^476+421728536790*p^58*q^478+2300742103730*p^56*q^480+8526449052476*p^54*q^482 +17346492378489*p^52*q^484+15574622826942*p^50*q^486+5845028166629*p^48*q^488+ 1201061047938*p^46*q^490+193869535491*p^44*q^492+28048386050*p^42*q^494+ 3578324574*p^40*q^496+260900986*p^38*q^498+12263262*p^36*q^500+349780*p^34*q^ 502+5168*p^32*q^504+8*p^30*q^506+292*p^69*q^466+128840*p^67*q^468+15014564*p^65 *q^470+763911022*p^63*q^472+16203360182*p^61*q^474+150876700450*p^59*q^476+ 967464663977*p^57*q^478+4476449437688*p^55*q^480+12917087085786*p^53*q^482+ 18215760977808*p^51*q^484+10714500267286*p^49*q^486+2875588396772*p^47*q^488+ 508399362065*p^45*q^490+78082851032*p^43*q^492+10754532866*p^41*q^494+ 1151395206*p^39*q^496+56111996*p^37*q^498+2093724*p^35*q^500+45380*p^33*q^502+ 20*p^31*q^504+13000*p^68*q^466+1128588*p^66*q^468+99211602*p^64*q^470+ 3519419097*p^62*q^472+49194814974*p^60*q^474+370154589924*p^58*q^476+ 2068983337870*p^56*q^478+7844656656214*p^54*q^480+16674767971378*p^52*q^482+ 15655485519016*p^50*q^484+6162632933602*p^48*q^486+1290339108718*p^46*q^488+ 209937943054*p^44*q^490+30566175820*p^42*q^492+3951943198*p^40*q^494+312280654* p^38*q^496+13935288*p^36*q^498+297496*p^34*q^500+8304*p^32*q^502+2*p^30*q^504+ 16*p^69*q^464+119075*p^67*q^466+11093214*p^65*q^468+577022303*p^63*q^470+ 13317282806*p^61*q^472+131330470114*p^59*q^474+856445279926*p^57*q^476+ 4070620999138*p^55*q^478+12079923376444*p^53*q^480+17912899198724*p^51*q^482+ 11017325992654*p^49*q^484+3074743560468*p^47*q^486+548721119086*p^45*q^488+ 84946004847*p^43*q^490+11702658680*p^41*q^492+1319162079*p^39*q^494+68177642*p^ 37*q^496+2884012*p^35*q^498+88008*p^33*q^500+348*p^31*q^502+5356*p^68*q^464+ 792536*p^66*q^466+72100984*p^64*q^468+2744532418*p^62*q^470+41664922310*p^60*q^ 472+325134025288*p^58*q^474+1848819731707*p^56*q^476+7233883368634*p^54*q^478+ 15912739080216*p^52*q^480+15768537924716*p^50*q^482+6464672657945*p^48*q^484+ 1390140416906*p^46*q^486+226775150634*p^44*q^488+33328622682*p^42*q^490+ 4374767491*p^40*q^492+372831818*p^38*q^494+15445748*p^36*q^496+376040*p^34*q^ 498+4128*p^32*q^500+76*p^69*q^462+83510*p^67*q^464+7116555*p^65*q^466+423913774 *p^63*q^468+10826340425*p^61*q^470+113669460324*p^59*q^472+759695069211*p^57*q^ 474+3681396869228*p^55*q^476+11331198120592*p^53*q^478+17487236475658*p^51*q^ 480+11350412240179*p^49*q^482+3269743307530*p^47*q^484+593084669348*p^45*q^486+ 91929640530*p^43*q^488+12757680848*p^41*q^490+1482617494*p^39*q^492+82188006*p^ 37*q^494+3478280*p^35*q^496+58648*p^33*q^498+1236*p^31*q^500+828*p^68*q^462+ 554734*p^66*q^464+52367336*p^64*q^466+2134823194*p^62*q^468+35307697708*p^60*q^ 470+284565933671*p^58*q^472+1657733427236*p^56*q^474+6628198763080*p^54*q^476+ 15220404212296*p^52*q^478+15755025745715*p^50*q^480+6788940731840*p^48*q^482+ 1491707520365*p^46*q^484+245523529008*p^44*q^486+36265953713*p^42*q^488+ 4813291670*p^40*q^490+437689205*p^38*q^492+17228352*p^36*q^494+528338*p^34*q^ 496+17080*p^32*q^498+8*p^30*q^500+8*p^69*q^460+51462*p^67*q^462+5107644*p^65*q^ 464+317639062*p^63*q^466+8757154098*p^61*q^468+98251521020*p^59*q^470+ 670283668456*p^57*q^472+3334994127939*p^55*q^474+10547854312194*p^53*q^476+ 17098539802251*p^51*q^478+11612259373590*p^49*q^480+3487629393849*p^47*q^482+ 639848289132*p^45*q^484+99899518807*p^43*q^486+13911873004*p^41*q^488+ 1674029994*p^39*q^490+104597840*p^37*q^492+4288832*p^35*q^494+62928*p^33*q^496+ 148*p^31*q^498+1608*p^68*q^460+470914*p^66*q^462+37389095*p^64*q^464+1631844582 *p^62*q^466+29466652722*p^60*q^468+249130100528*p^58*q^470+1476335486146*p^56*q ^472+6087882406712*p^54*q^474+14448584964067*p^52*q^476+15783383134698*p^50*q^ 478+7090703961268*p^48*q^480+1604892989782*p^46*q^482+265130241892*p^44*q^484+ 39509183940*p^42*q^486+5262155828*p^40*q^488+508056996*p^38*q^490+19254892*p^36 *q^492+688340*p^34*q^494+14824*p^32*q^496+112*p^30*q^498+20*p^69*q^458+15424*p^ 67*q^460+3062148*p^65*q^462+229969798*p^63*q^464+6986880472*p^61*q^466+ 84546219908*p^59*q^468+592534358437*p^57*q^470+3006252331698*p^55*q^472+ 9849357215318*p^53*q^474+16595834379846*p^51*q^476+11900350551488*p^49*q^478+ 3697802415020*p^47*q^480+691338707462*p^45*q^482+108004416220*p^43*q^484+ 15154968012*p^41*q^486+1875464006*p^39*q^488+127668831*p^37*q^490+4753332*p^35* q^492+80108*p^33*q^494+1804*p^31*q^496+372*p^68*q^458+329524*p^66*q^460+ 27126374*p^64*q^462+1251930808*p^62*q^464+24648779304*p^60*q^466+217160156443*p ^58*q^468+1319132663586*p^56*q^470+5557207679446*p^54*q^472+13746316184130*p^52 *q^474+15678744286214*p^50*q^476+7416674790022*p^48*q^478+1719882287591*p^46*q^ 480+287097793876*p^44*q^482+42935193423*p^42*q^484+5770884910*p^40*q^486+ 583617859*p^38*q^488+24224612*p^36*q^490+970510*p^34*q^492+8300*p^32*q^494+4*p^ 69*q^456+16104*p^67*q^458+2453538*p^65*q^460+170703868*p^63*q^462+5543615862*p^ 61*q^464+72426554453*p^59*q^466+520937728348*p^57*q^468+2713629832943*p^55*q^ 470+9128293890014*p^53*q^472+16136932487468*p^51*q^474+12108368967844*p^49*q^ 476+3932835809566*p^47*q^478+745146687262*p^45*q^480+117157661448*p^43*q^482+ 16539251032*p^41*q^484+2089305764*p^39*q^486+155182126*p^37*q^488+4851794*p^35* q^490+103224*p^33*q^492+3640*p^31*q^494+4*p^29*q^496+320*p^68*q^456+160124*p^66 *q^458+18023716*p^64*q^460+936960486*p^62*q^462+20279473012*p^60*q^464+ 189292505438*p^58*q^466+1171181082777*p^56*q^468+5083799804312*p^54*q^470+ 12985418467472*p^52*q^472+15614006060904*p^50*q^474+7710663043172*p^48*q^476+ 1847668900778*p^46*q^478+310047941642*p^44*q^480+46771817790*p^42*q^482+ 6262056978*p^40*q^484+671331124*p^38*q^486+31681916*p^36*q^488+1268140*p^34*q^ 490+12360*p^32*q^492+64*p^30*q^494+16*p^69*q^454+7544*p^67*q^456+1799848*p^65*q ^458+124921198*p^63*q^460+4364624888*p^61*q^462+61711445254*p^59*q^464+ 459104925176*p^57*q^466+2436952490334*p^55*q^468+8484506221911*p^53*q^470+ 15576087012514*p^51*q^472+12341170111634*p^49*q^474+4157492640176*p^47*q^476+ 804535607086*p^45*q^478+126598925102*p^43*q^480+18011336318*p^41*q^482+ 2330119864*p^39*q^484+183145475*p^37*q^486+5029684*p^35*q^488+156636*p^33*q^490 +644*p^31*q^492+100*p^68*q^454+114758*p^66*q^456+12473532*p^64*q^458+703865510* p^62*q^460+16627247554*p^60*q^462+164267122678*p^58*q^464+1042479653270*p^56*q^ 466+4623197992207*p^54*q^468+12292228049106*p^52*q^470+15424116934691*p^50*q^ 472+8029171348432*p^48*q^474+1976013260642*p^46*q^476+335880298116*p^44*q^478+ 50725185968*p^42*q^480+6849439202*p^40*q^482+757540932*p^38*q^484+40450314*p^36 *q^486+1373726*p^34*q^488+11252*p^32*q^490+556*p^30*q^492+3064*p^67*q^454+ 1129314*p^65*q^456+90921965*p^63*q^458+3406753928*p^61*q^460+52407872409*p^59*q ^462+402231156490*p^57*q^464+2192750054720*p^55*q^466+7829451559534*p^53*q^468+ 15058378935632*p^51*q^470+12488479144988*p^49*q^472+4405178381512*p^47*q^474+ 866632139498*p^45*q^476+137105032504*p^43*q^478+19681015156*p^41*q^480+ 2559721831*p^39*q^482+217393056*p^37*q^484+6470080*p^35*q^486+264088*p^33*q^488 +1828*p^31*q^490+332*p^68*q^452+83008*p^66*q^454+9498882*p^64*q^456+526525818*p ^62*q^458+13463765786*p^60*q^460+142296538100*p^58*q^462+922189398649*p^56*q^ 464+4212571805250*p^54*q^466+11550922387983*p^52*q^468+15270892211826*p^50*q^ 470+8308205068994*p^48*q^472+2120007002534*p^46*q^474+362715895445*p^44*q^476+ 55228985794*p^42*q^478+7428687795*p^40*q^480+874117378*p^38*q^482+51067216*p^36 *q^484+1279204*p^34*q^486+17516*p^32*q^488+20*p^30*q^490+6*p^69*q^450+1820*p^67 *q^452+723770*p^65*q^454+62134222*p^63*q^456+2615144808*p^61*q^458+44069224718* p^59*q^460+353060711314*p^57*q^462+1962158551862*p^55*q^464+7246462848184*p^53* q^466+14456536099152*p^51*q^468+12657977964103*p^49*q^470+4641990165414*p^47*q^ 472+934294321507*p^45*q^474+148075244260*p^43*q^476+21430433333*p^41*q^478+ 2810912682*p^39*q^480+247519070*p^37*q^482+8466436*p^35*q^484+333690*p^33*q^486 +940*p^31*q^488+36*p^29*q^490+16*p^68*q^450+30528*p^66*q^452+6366538*p^64*q^454 +393008657*p^62*q^456+10889425290*p^60*q^458+122740429401*p^58*q^460+ 818371002084*p^56*q^462+3816566454184*p^54*q^464+10882411927916*p^52*q^466+ 14994659572098*p^50*q^468+8608027879430*p^48*q^470+2261963205399*p^46*q^472+ 392962331456*p^44*q^474+59797204011*p^42*q^476+8110344822*p^40*q^478+983565918* p^38*q^480+62658534*p^36*q^482+1203386*p^34*q^484+38548*p^32*q^486+180*p^30*q^ 488+3092*p^67*q^450+585704*p^65*q^452+46992510*p^63*q^454+2019542738*p^61*q^456 +36898508566*p^59*q^458+308318780056*p^57*q^460+1758544454988*p^55*q^462+ 6656902880128*p^53*q^464+13899378988532*p^51*q^466+12735169456158*p^49*q^468+ 4901842233397*p^47*q^470+1005924048480*p^45*q^472+160488818161*p^43*q^474+ 23405735342*p^41*q^476+3076281860*p^39*q^478+291681880*p^37*q^480+12118925*p^35 *q^482+386172*p^33*q^484+1288*p^31*q^486+126*p^68*q^448+20858*p^66*q^450+ 4297860*p^64*q^452+283972762*p^62*q^454+8629785408*p^60*q^456+105502055468*p^58 *q^458+720837258901*p^56*q^460+3464154673806*p^54*q^462+10176923896335*p^52*q^ 464+14762797112476*p^50*q^466+8862900075410*p^48*q^468+2420893210682*p^46*q^470 +424012005483*p^44*q^472+64888557298*p^42*q^474+8824029536*p^40*q^476+ 1105236940*p^38*q^478+73752846*p^36*q^480+1368618*p^34*q^482+57672*p^32*q^484+ 76*p^30*q^486+868*p^67*q^448+294442*p^65*q^450+32461488*p^63*q^452+1529660096*p ^61*q^454+30615765352*p^59*q^456+269545252619*p^57*q^458+1568910375444*p^55*q^ 460+6135520894488*p^53*q^462+13269017809526*p^51*q^464+12836332591534*p^49*q^ 466+5143303257746*p^47*q^468+1083661323238*p^45*q^470+173466791126*p^43*q^472+ 25496791624*p^41*q^474+3331739760*p^39*q^476+339652955*p^37*q^478+15628728*p^35 *q^480+303358*p^33*q^482+3856*p^31*q^484+8*p^29*q^486+19479*p^66*q^448+3201322* p^64*q^450+211572610*p^62*q^452+6868733950*p^60*q^454+90308676800*p^58*q^456+ 637281659630*p^56*q^458+3125981383839*p^54*q^460+9538137122428*p^52*q^462+ 14411623929360*p^50*q^464+9136897161598*p^48*q^466+2577458617484*p^46*q^468+ 459100633596*p^44*q^470+70104852720*p^42*q^472+9671127524*p^40*q^474+1237643067 *p^38*q^476+86238418*p^36*q^478+2253458*p^34*q^480+87596*p^32*q^482+44*p^30*q^ 484+1234*p^67*q^446+179568*p^65*q^448+23108304*p^63*q^450+1155805528*p^61*q^452 +25199009158*p^59*q^454+234031488166*p^57*q^456+1400715338702*p^55*q^458+ 5614008537090*p^53*q^460+12691161465778*p^51*q^462+12838811718478*p^49*q^464+ 5410961680202*p^47*q^466+1164871785556*p^45*q^468+188136705872*p^43*q^470+ 27830764774*p^41*q^472+3616335705*p^39*q^474+391609956*p^37*q^476+19793062*p^35 *q^478+191312*p^33*q^480+6864*p^31*q^482+4*p^29*q^484+12748*p^66*q^446+2155216* p^64*q^448+152752018*p^62*q^450+5372770102*p^60*q^452+76885933480*p^58*q^454+ 559885531282*p^56*q^456+2826666726036*p^54*q^458+8877912644668*p^52*q^460+ 14102275763938*p^50*q^462+9357451022862*p^48*q^464+2751136346892*p^46*q^466+ 495038139222*p^44*q^468+75907018492*p^42*q^470+10512340368*p^40*q^472+ 1366306942*p^38*q^474+104045189*p^36*q^476+3237934*p^34*q^478+99856*p^32*q^480+ 272*p^30*q^482+368*p^67*q^444+120361*p^65*q^446+16169292*p^63*q^448+865783122*p ^61*q^450+20543128544*p^59*q^452+203576833839*p^57*q^454+1244116419762*p^55*q^ 456+5150393701578*p^53*q^458+12051549191120*p^51*q^460+12866892455379*p^49*q^ 462+5654087376428*p^47*q^464+1254101435043*p^45*q^466+203548996702*p^43*q^468+ 30320583458*p^41*q^470+3942206376*p^39*q^472+455701056*p^37*q^474+23216836*p^35 *q^476+292224*p^33*q^478+11556*p^31*q^480+8650*p^66*q^444+1294134*p^64*q^446+ 110663522*p^62*q^448+4180979892*p^60*q^450+65077798187*p^58*q^452+492870171290* p^56*q^454+2541950873272*p^54*q^456+8282973660046*p^52*q^458+13690566734187*p^ 50*q^460+9594773665100*p^48*q^462+2920687144829*p^46*q^464+535365829428*p^44*q^ 466+81948716554*p^42*q^468+11499889924*p^40*q^470+1484407540*p^38*q^472+ 120663118*p^36*q^474+4486468*p^34*q^476+39984*p^32*q^478+548*p^30*q^480+98610*p ^65*q^444+12003844*p^63*q^446+650082148*p^61*q^448+16702058426*p^59*q^450+ 175867521210*p^57*q^452+1107073861068*p^55*q^454+4692764202702*p^53*q^456+ 11461088019066*p^51*q^458+12794550758310*p^49*q^460+5921455641404*p^47*q^462+ 1345947538436*p^45*q^464+220866368867*p^43*q^466+32916467290*p^41*q^468+ 4299415002*p^39*q^470+521832364*p^37*q^472+28565014*p^35*q^474+539222*p^33*q^ 476+24440*p^31*q^478+12*p^29*q^480+6854*p^66*q^442+833603*p^64*q^444+79251302*p ^62*q^446+3215859466*p^60*q^448+54587817578*p^58*q^450+431043753560*p^56*q^452+ 2289000592554*p^54*q^454+7671866180017*p^52*q^456+13320511827018*p^50*q^458+ 9774005624456*p^48*q^460+3108800649356*p^46*q^462+577469010473*p^44*q^464+ 88825692592*p^42*q^466+12618592286*p^40*q^468+1619255080*p^38*q^470+146995327*p ^36*q^472+5761338*p^34*q^474+22492*p^32*q^476+788*p^30*q^478+60*p^67*q^440+ 61662*p^65*q^442+7938238*p^63*q^444+476749612*p^61*q^446+13365334762*p^59*q^448 +152017262001*p^57*q^450+979756234762*p^55*q^452+4288298852994*p^53*q^454+ 10827476223802*p^51*q^456+12746053222313*p^49*q^458+6160571137546*p^47*q^460+ 1446386851978*p^45*q^462+238460931510*p^43*q^464+35650279852*p^41*q^466+ 4640172212*p^39*q^468+585624361*p^37*q^470+32595832*p^35*q^472+770840*p^33*q^ 474+13872*p^31*q^476+24*p^29*q^478+8*p^68*q^438+484*p^66*q^440+576748*p^64*q^ 442+57190018*p^62*q^444+2475664350*p^60*q^446+45627532873*p^58*q^448+ 377902250712*p^56*q^450+2050443073477*p^54*q^452+7124296816512*p^52*q^454+ 12855238637632*p^50*q^456+9966558100796*p^48*q^458+3289900514772*p^46*q^460+ 624146078070*p^44*q^462+96251320741*p^42*q^464+13850019070*p^40*q^466+ 1765907017*p^38*q^468+175098770*p^36*q^470+7123984*p^34*q^472+67948*p^32*q^474+ 3304*p^30*q^476+8*p^67*q^438+59380*p^65*q^440+5399729*p^63*q^442+356756142*p^61 *q^444+10665898338*p^59*q^446+130271188758*p^57*q^448+868380258854*p^55*q^450+ 3890329451864*p^53*q^452+10244471180831*p^51*q^454+12598349105512*p^49*q^456+ 6422130576040*p^47*q^458+1549861966710*p^45*q^460+258700013406*p^43*q^462+ 38483785054*p^41*q^464+5082127292*p^39*q^466+651076820*p^37*q^468+40575836*p^35 *q^470+1242964*p^33*q^472+788*p^31*q^474+24*p^29*q^476+8*p^68*q^436+1328*p^66*q ^438+426882*p^64*q^440+41542430*p^62*q^442+1867501408*p^60*q^444+37732322866*p^ 58*q^446+329048343923*p^56*q^448+1838787384220*p^54*q^450+6568800029017*p^52*q^ 452+12436952253840*p^50*q^454+10096249893453*p^48*q^456+3490115534746*p^46*q^ 458+672639077676*p^44*q^460+104393492566*p^42*q^462+15171779103*p^40*q^464+ 1901962994*p^38*q^466+205783988*p^36*q^468+8138386*p^34*q^470+91796*p^32*q^472+ 3880*p^30*q^474+120*p^67*q^436+16802*p^65*q^438+3327104*p^63*q^440+254537020*p^ 61*q^442+8401597538*p^59*q^444+111508096580*p^57*q^446+765496643716*p^55*q^448+ 3540827079137*p^53*q^450+9625584407324*p^51*q^452+12479625769754*p^49*q^454+ 6647297943886*p^47*q^456+1662801568287*p^45*q^458+279299355386*p^43*q^460+ 41635771152*p^41*q^462+5538813002*p^39*q^464+722482294*p^37*q^466+50609776*p^35 *q^468+1596573*p^33*q^470+5376*p^31*q^472+200*p^29*q^474+244*p^66*q^436+354766* p^64*q^438+29470920*p^62*q^440+1428104646*p^60*q^442+31062900002*p^58*q^444+ 287175201664*p^56*q^446+1641032058704*p^54*q^448+6070397997188*p^52*q^450+ 11935000798129*p^50*q^452+10236851235832*p^48*q^454+3680856405990*p^46*q^456+ 726525296410*p^44*q^458+113081699381*p^42*q^460+16551838910*p^40*q^462+ 2061537830*p^38*q^464+237285688*p^36*q^466+9552155*p^34*q^468+203816*p^32*q^470 +136*p^67*q^434+13762*p^65*q^436+2531964*p^63*q^438+190769428*p^61*q^440+ 6579639345*p^59*q^442+94545880258*p^57*q^444+675542957170*p^55*q^446+ 3198728857432*p^53*q^448+9060748549279*p^51*q^450+12259943861530*p^49*q^452+ 6897433157903*p^47*q^454+1777424592188*p^45*q^456+302828678580*p^43*q^458+ 45037699870*p^41*q^460+6135204592*p^39*q^462+783515088*p^37*q^464+62142809*p^35 *q^466+1968428*p^33*q^468+7500*p^31*q^470+612*p^29*q^472+776*p^66*q^434+201726* p^64*q^436+19275184*p^62*q^438+1056670108*p^60*q^440+25279252154*p^58*q^442+ 248776283098*p^56*q^444+1465866950588*p^54*q^446+5572648273479*p^52*q^448+ 11480074572234*p^50*q^450+10309197841714*p^48*q^452+3890395202396*p^46*q^454+ 782351829524*p^44*q^456+122701860144*p^42*q^458+17928481974*p^40*q^460+ 2210539516*p^38*q^462+275681213*p^36*q^464+12531990*p^34*q^466+305673*p^32*q^ 468+188*p^30*q^470+4*p^28*q^472+16*p^67*q^432+5628*p^65*q^434+1908454*p^63*q^ 436+138831344*p^61*q^438+5114162348*p^59*q^440+79996773919*p^57*q^442+ 593005814412*p^55*q^444+2898384683179*p^53*q^446+8470656947150*p^51*q^448+ 12070725498682*p^49*q^450+7103497632866*p^47*q^452+1903117106860*p^45*q^454+ 326857187336*p^43*q^456+48784360385*p^41*q^458+6768108162*p^39*q^460+857320422* p^37*q^462+74583308*p^35*q^464+2034067*p^33*q^466+21344*p^31*q^468+1176*p^66*q^ 432+107986*p^64*q^434+13400184*p^62*q^436+791227784*p^60*q^438+20431327069*p^58 *q^440+215676943298*p^56*q^442+1302751285938*p^54*q^444+5126403661440*p^52*q^ 446+10955920146497*p^50*q^448+10394508527646*p^48*q^450+4086107323034*p^46*q^ 452+844357122364*p^44*q^454+132904099950*p^42*q^456+19441644648*p^40*q^458+ 2399225652*p^38*q^460+308493696*p^36*q^462+15766166*p^34*q^464+427196*p^32*q^ 466+412*p^30*q^468+40*p^28*q^470+3552*p^65*q^432+1387114*p^63*q^434+99492016*p^ 61*q^436+3949902086*p^59*q^438+67088480116*p^57*q^440+521219407300*p^55*q^442+ 2608353215518*p^53*q^444+7932000230899*p^51*q^446+11790272838458*p^49*q^448+ 7329480585500*p^47*q^450+2029525152214*p^45*q^452+354118914820*p^43*q^454+ 52814864976*p^41*q^456+7476051222*p^39*q^458+917094220*p^37*q^460+90604984*p^35 *q^462+2686556*p^33*q^464+46857*p^31*q^466+492*p^66*q^430+75025*p^64*q^432+ 10116200*p^62*q^434+591498734*p^60*q^436+16370802472*p^58*q^438+185289268836*p^ 56*q^440+1158910109224*p^54*q^442+4683192481728*p^52*q^444+10477428919726*p^50* q^446+10405756567274*p^48*q^448+4302801433040*p^46*q^450+908269037596*p^44*q^ 452+144247420472*p^42*q^454+21016763981*p^40*q^456+2631078354*p^38*q^458+ 346642180*p^36*q^460+20338804*p^34*q^462+458548*p^32*q^464+1116*p^30*q^466+6854 *p^65*q^430+789594*p^63*q^432+67389978*p^61*q^434+2996276148*p^59*q^436+ 55853371422*p^57*q^438+455745557844*p^55*q^440+2353047441285*p^53*q^442+ 7379042187142*p^51*q^444+11540383674359*p^49*q^446+7511395706050*p^47*q^448+ 2166792986383*p^45*q^450+382069310588*p^43*q^452+57299403489*p^41*q^454+ 8174942930*p^39*q^456+978614546*p^37*q^458+106797254*p^35*q^460+3258192*p^33*q^ 462+67960*p^31*q^464+8*p^29*q^466+84*p^66*q^428+23748*p^64*q^430+7292841*p^62*q ^432+440104874*p^60*q^434+13046717404*p^58*q^436+159548560340*p^56*q^438+ 1025539214144*p^54*q^440+4290337755692*p^52*q^442+9943269862720*p^50*q^444+ 10427031933392*p^48*q^446+4498954800192*p^46*q^448+978947504304*p^44*q^450+ 156107963227*p^42*q^452+22692014300*p^40*q^454+2910670176*p^38*q^456+380028034* p^36*q^458+25211259*p^34*q^460+513174*p^32*q^462+5240*p^30*q^464+5208*p^65*q^ 428+616242*p^63*q^430+50451462*p^61*q^432+2297915963*p^59*q^434+46166408512*p^ 57*q^436+398331928536*p^55*q^438+2108486328542*p^53*q^440+6873983374384*p^51*q^ 442+11202580234178*p^49*q^444+7710019295671*p^47*q^446+2304950233748*p^45*q^448 +414014740462*p^43*q^450+62214281914*p^41*q^452+8983284801*p^39*q^454+ 1046133872*p^37*q^456+127066358*p^35*q^458+4666060*p^33*q^460+110034*p^31*q^462 +20*p^29*q^464+48*p^66*q^426+35322*p^64*q^428+4936264*p^62*q^430+315330569*p^60 *q^432+10225608414*p^58*q^434+135715001592*p^56*q^436+908410329994*p^54*q^438+ 3901573553305*p^52*q^440+9458558567218*p^50*q^442+10377985444425*p^48*q^444+ 4715672038380*p^46*q^446+1051584876100*p^44*q^448+169191278412*p^42*q^450+ 24461683382*p^40*q^452+3227816602*p^38*q^454+411508044*p^36*q^456+30798736*p^34 *q^458+570986*p^32*q^460+6268*p^30*q^462+2044*p^65*q^426+249940*p^63*q^428+ 35642771*p^61*q^430+1731138566*p^59*q^432+37945550747*p^57*q^434+346541051788*p ^55*q^436+1894531519701*p^53*q^438+6362990257180*p^51*q^440+10901465224221*p^49 *q^442+7854324486962*p^47*q^444+2453897094782*p^45*q^446+446473241194*p^43*q^ 448+67593815631*p^41*q^450+9738843176*p^39*q^452+1118152102*p^37*q^454+ 145215832*p^35*q^456+6163502*p^33*q^458+97680*p^31*q^460+340*p^29*q^462+31380*p ^64*q^426+3698121*p^62*q^428+230363624*p^60*q^430+8031526332*p^58*q^432+ 115452020978*p^56*q^434+800564845225*p^54*q^436+3556454307920*p^52*q^438+ 8925836604288*p^50*q^440+10338518953926*p^48*q^442+4909460326169*p^46*q^444+ 1131829794264*p^44*q^446+183104777948*p^42*q^448+26506293400*p^40*q^450+ 3598378472*p^38*q^452+445769426*p^36*q^454+38837124*p^34*q^456+798270*p^32*q^ 458+20816*p^30*q^460+1068*p^65*q^424+207354*p^63*q^426+25715234*p^61*q^428+ 1309368059*p^59*q^430+30798773050*p^57*q^432+301249476350*p^55*q^434+ 1690078108516*p^53*q^436+5899421678864*p^51*q^438+10520087484630*p^49*q^440+ 8018120401099*p^47*q^442+2600661188296*p^45*q^444+483500032933*p^43*q^446+ 73334144216*p^41*q^448+10549079775*p^39*q^450+1217454136*p^37*q^452+161827454*p ^35*q^454+7595288*p^33*q^456+93464*p^31*q^458+264*p^29*q^460+21576*p^64*q^424+ 2183488*p^62*q^426+167923771*p^60*q^428+6198690498*p^58*q^430+97220267051*p^56* q^432+705862424150*p^54*q^434+3220674007334*p^52*q^436+8442313203196*p^50*q^438 +10225724222624*p^48*q^440+5122013586618*p^46*q^442+1213529124830*p^44*q^444+ 198391724376*p^42*q^446+28692588425*p^40*q^448+4004272386*p^38*q^450+465203148* p^36*q^452+48632382*p^34*q^454+1312896*p^32*q^456+21464*p^30*q^458+8*p^28*q^460 +112*p^65*q^422+161546*p^63*q^424+18779972*p^61*q^426+964946616*p^59*q^428+ 24892549551*p^57*q^430+260120095726*p^55*q^432+1511539760973*p^53*q^434+ 5433488339860*p^51*q^436+10176283294226*p^49*q^438+8122626718626*p^47*q^440+ 2760481078635*p^45*q^442+521429855130*p^43*q^444+79691171174*p^41*q^446+ 11340395670*p^39*q^448+1341466574*p^37*q^450+184836742*p^35*q^452+9482230*p^33* q^454+91140*p^31*q^456+2198*p^29*q^458+6*p^66*q^420+12572*p^64*q^422+1330516*p^ 62*q^424+120184146*p^60*q^426+4806447573*p^58*q^428+81620470658*p^56*q^430+ 619328606876*p^54*q^432+2922954794110*p^52*q^434+7925622030273*p^50*q^436+ 10125741995370*p^48*q^438+5305494848436*p^46*q^440+1303429932402*p^44*q^442+ 214408292170*p^42*q^444+31152917680*p^40*q^446+4421614004*p^38*q^448+489199186* p^36*q^450+55107198*p^34*q^452+1657076*p^32*q^454+14222*p^30*q^456+4*p^28*q^458 +36*p^65*q^420+134040*p^63*q^422+13561518*p^61*q^424+723683879*p^59*q^426+ 19889358562*p^57*q^428+224397992101*p^55*q^430+1342880235984*p^53*q^432+ 5011645279741*p^51*q^434+9763578183142*p^49*q^436+8242181542846*p^47*q^438+ 2914757715850*p^45*q^440+564453605518*p^43*q^442+86446149418*p^41*q^444+ 12255946964*p^39*q^446+1502555714*p^37*q^448+200248058*p^35*q^450+13480288*p^33 *q^452+214751*p^31*q^454+4620*p^29*q^456+4060*p^64*q^420+989624*p^62*q^422+ 88062284*p^60*q^424+3665600362*p^58*q^426+67752538443*p^56*q^428+543424949608*p ^54*q^430+2634004625774*p^52*q^432+7455254563518*p^50*q^434+9954529621628*p^48* q^436+5508272578552*p^46*q^438+1395213134445*p^44*q^440+232339901770*p^42*q^442 +33850463938*p^40*q^444+4839112862*p^38*q^446+513030544*p^36*q^448+67255724*p^ 34*q^450+2020284*p^32*q^452+7076*p^30*q^454+80*p^28*q^456+6*p^67*q^416+170*p^65 *q^418+99608*p^63*q^420+8311170*p^61*q^422+525503312*p^59*q^424+15758843481*p^ 57*q^426+192086497726*p^55*q^428+1195416723599*p^53*q^430+4594322597098*p^51*q^ 432+9388885886557*p^49*q^434+8302570233702*p^47*q^436+3081640465121*p^45*q^438+ 607799428774*p^43*q^440+93768865300*p^41*q^442+13156300992*p^39*q^444+ 1693886490*p^37*q^446+213737748*p^35*q^448+15781542*p^33*q^450+305224*p^31*q^ 452+1778*p^29*q^454+964*p^64*q^418+663438*p^62*q^420+65698062*p^60*q^422+ 2797048023*p^58*q^424+56143556488*p^56*q^426+474472617202*p^54*q^428+ 2380249127894*p^52*q^430+6961088008177*p^50*q^432+9796817641574*p^48*q^434+ 5675894868662*p^46*q^436+1495075836172*p^44*q^438+251366704115*p^42*q^440+ 36871402780*p^40*q^442+5250941328*p^38*q^444+549398506*p^36*q^446+77118092*p^34 *q^448+2936248*p^32*q^450+22351*p^30*q^452+676*p^28*q^454+20*p^65*q^416+52678*p ^63*q^418+6147718*p^61*q^420+388916758*p^59*q^422+12437589212*p^57*q^424+ 164029809057*p^55*q^426+1056904325446*p^53*q^428+4216282351718*p^51*q^430+ 8953828909254*p^49*q^432+8374265189815*p^47*q^434+3241430650766*p^45*q^436+ 657425945303*p^43*q^438+101538215208*p^41*q^440+14244387149*p^39*q^442+ 1921384814*p^37*q^444+223090670*p^35*q^446+20380194*p^33*q^448+411660*p^31*q^ 450+396*p^29*q^452+102*p^66*q^414+2150*p^64*q^416+593014*p^62*q^418+45665382*p^ 60*q^420+2103617062*p^58*q^422+45756560671*p^56*q^424+413724127982*p^54*q^426+ 2135273703136*p^52*q^428+6514085908308*p^50*q^430+9573580115636*p^48*q^432+ 5862098843890*p^46*q^434+1596131881849*p^44*q^436+272397860802*p^42*q^438+ 40085597917*p^40*q^440+5669453998*p^38*q^442+597095554*p^36*q^444+87757802*p^34 *q^446+3754542*p^32*q^448+43176*p^30*q^450+140*p^28*q^452+17796*p^63*q^416+ 3675808*p^61*q^418+284454696*p^59*q^420+9701944452*p^57*q^422+139086028922*p^55 *q^424+936981388773*p^53*q^426+3846026786888*p^51*q^428+8560848765251*p^49*q^ 430+8383174914624*p^47*q^432+3412649433821*p^45*q^434+707305645962*p^43*q^436+ 109956409146*p^41*q^438+15395174396*p^39*q^440+2139034442*p^37*q^442+227439574* p^35*q^444+25096270*p^33*q^446+549836*p^31*q^448+1225*p^29*q^450+44*p^27*q^452+ 636*p^64*q^414+394113*p^62*q^416+32978862*p^60*q^418+1583178839*p^58*q^420+ 37317409444*p^56*q^422+358819809686*p^54*q^424+1919785147360*p^52*q^426+ 6049122478578*p^50*q^428+9365950822732*p^48*q^430+6007941548434*p^46*q^432+ 1706509322220*p^44*q^434+294679399472*p^42*q^436+43729159544*p^40*q^438+ 6076754744*p^38*q^440+683246140*p^36*q^442+97600098*p^34*q^444+4889316*p^32*q^ 446+66114*p^30*q^448+8*p^28*q^450+736*p^65*q^412+18182*p^63*q^414+3030062*p^61* q^416+212069189*p^59*q^418+7542320986*p^57*q^420+117286331432*p^55*q^422+ 824592200474*p^53*q^424+3512834322831*p^51*q^426+8117821531618*p^49*q^428+ 8405145136329*p^47*q^430+3573726469270*p^45*q^432+763685072142*p^43*q^434+ 119015934742*p^41*q^436+16741579472*p^39*q^438+2375857996*p^37*q^440+228564250* p^35*q^442+29906154*p^33*q^444+727834*p^31*q^446+4112*p^29*q^448+4*p^27*q^450+ 52*p^64*q^412+204182*p^62*q^414+21633991*p^60*q^416+1171377494*p^58*q^418+ 29945372863*p^56*q^420+310750448714*p^54*q^422+1714214238799*p^52*q^424+ 5630020502696*p^50*q^426+9093345971282*p^48*q^428+6172169613950*p^46*q^430+ 1815739855795*p^44*q^432+319556514694*p^42*q^434+47433969846*p^40*q^436+ 6530057376*p^38*q^438+778254474*p^36*q^440+104406838*p^34*q^442+6928492*p^32*q^ 444+113316*p^30*q^446+30*p^28*q^448+199*p^65*q^410+9928*p^63*q^412+2217946*p^61 *q^414+155005500*p^59*q^416+5804196354*p^57*q^418+98116222376*p^55*q^420+ 727081255529*p^53*q^422+3189222862134*p^51*q^424+7715623396531*p^49*q^426+ 8364803140466*p^47*q^428+3745829554337*p^45*q^430+821070945846*p^43*q^432+ 128896779229*p^41*q^434+18214080496*p^39*q^436+2591126862*p^37*q^438+239408538* p^35*q^440+36201418*p^33*q^442+879798*p^31*q^444+6062*p^29*q^446+2970*p^64*q^ 410+131750*p^62*q^412+15218330*p^60*q^414+874351436*p^58*q^416+24014594434*p^56 *q^418+267354653308*p^54*q^420+1534071407918*p^52*q^422+5200960393518*p^50*q^ 424+8842877237650*p^48*q^426+6287618711196*p^46*q^428+1935920767864*p^44*q^430+ 345171676703*p^42*q^432+51570716988*p^40*q^434+7002058320*p^38*q^436+897525656* p^36*q^438+105202948*p^34*q^440+8251280*p^32*q^442+119918*p^30*q^444+188*p^28*q ^446+2068*p^63*q^410+1480080*p^61*q^412+111246218*p^59*q^414+4449919474*p^57*q^ 416+81584449900*p^55*q^418+636758296896*p^53*q^420+2898240760841*p^51*q^422+ 7275742425472*p^49*q^424+8333766121990*p^47*q^426+3905000432020*p^45*q^428+ 884872500992*p^43*q^430+139764210956*p^41*q^432+19916131324*p^39*q^434+ 2806130382*p^37*q^436+262391280*p^35*q^438+42376090*p^33*q^440+1555496*p^31*q^ 442+21664*p^29*q^444+2897*p^64*q^408+96670*p^62*q^410+11513785*p^60*q^412+ 656652226*p^58*q^414+18979003081*p^56*q^416+229469946404*p^54*q^418+ 1363004443861*p^52*q^420+4813928651802*p^50*q^422+8533522621990*p^48*q^424+ 6422152597950*p^46*q^426+2052726485607*p^44*q^428+374331605036*p^42*q^430+ 55750450238*p^40*q^432+7556680088*p^38*q^434+1018983158*p^36*q^436+102619478*p^ 34*q^438+10906096*p^32*q^440+114140*p^30*q^442+222*p^28*q^444+8414*p^63*q^408+ 917086*p^61*q^410+76003632*p^59*q^412+3341234184*p^57*q^414+67167419386*p^55*q^ 416+557993624593*p^53*q^418+2617999356788*p^51*q^420+6876398221968*p^49*q^422+ 8243924577616*p^47*q^424+4074355594266*p^45*q^426+949712471240*p^43*q^428+ 151455940227*p^41*q^430+21750510106*p^39*q^432+3008678312*p^37*q^434+297773440* p^35*q^436+47839560*p^33*q^438+1892628*p^31*q^440+21986*p^29*q^442+156*p^64*q^ 406+35070*p^62*q^408+7965124*p^60*q^410+489418234*p^58*q^412+15030708434*p^56*q ^414+195646411613*p^54*q^416+1214437623132*p^52*q^418+4425288541127*p^50*q^420+ 8245931911396*p^48*q^422+6505499926082*p^46*q^424+2179745240416*p^44*q^426+ 404063036257*p^42*q^428+60440969072*p^40*q^430+8136670025*p^38*q^432+1141643622 *p^36*q^434+100657154*p^34*q^436+13293828*p^32*q^438+253352*p^30*q^440+2376*p^ 28*q^442+18008*p^63*q^406+678748*p^61*q^408+57361897*p^59*q^410+2551099730*p^57 *q^412+54991291836*p^55*q^414+485490295914*p^53*q^416+2366782886350*p^51*q^418+ 6444324131642*p^49*q^420+8162927951561*p^47*q^422+4225205877602*p^45*q^424+ 1022202463215*p^43*q^426+164373578486*p^41*q^428+23794803312*p^39*q^430+ 3241669204*p^37*q^432+352420938*p^35*q^434+49570676*p^33*q^436+2718448*p^31*q^ 438+10676*p^29*q^440+164*p^64*q^404+32758*p^62*q^406+5612300*p^60*q^408+ 350290948*p^58*q^410+11643987516*p^56*q^412+165807720868*p^54*q^414+ 1073602832612*p^52*q^416+4074658289758*p^50*q^418+7911910460272*p^48*q^420+ 6604724652818*p^46*q^422+2304383130302*p^44*q^424+437594893416*p^42*q^426+ 65302768536*p^40*q^428+8868038076*p^38*q^430+1252973151*p^36*q^432+100632446*p^ 34*q^434+17289074*p^32*q^436+365140*p^30*q^438+4770*p^28*q^440+4692*p^63*q^404+ 359324*p^61*q^406+39088142*p^59*q^408+1926874963*p^57*q^410+44617227964*p^55*q^ 412+423084829723*p^53*q^414+2127619344354*p^51*q^416+6057120708176*p^49*q^418+ 8021078000314*p^47*q^420+4385775789090*p^45*q^422+1093724470296*p^43*q^424+ 178200892688*p^41*q^426+25842158484*p^39*q^428+3432948258*p^37*q^430+408143002* p^35*q^432+48800068*p^33*q^434+3310776*p^31*q^436+25108*p^29*q^438+88*p^27*q^ 440+10*p^64*q^402+66625*p^62*q^404+3936962*p^60*q^406+261336906*p^58*q^408+ 9050904730*p^56*q^410+139646266183*p^54*q^412+950834527146*p^52*q^414+ 3725019706341*p^50*q^416+7598983315232*p^48*q^418+6651774260951*p^46*q^420+ 2438109935870*p^44*q^422+472608958464*p^42*q^424+70927235632*p^40*q^426+ 9709718227*p^38*q^428+1386241300*p^36*q^430+112541394*p^34*q^432+20611878*p^32* q^434+546744*p^30*q^436+628*p^28*q^438+2588*p^63*q^402+234508*p^61*q^404+ 28989806*p^59*q^406+1443333550*p^57*q^408+35964687592*p^55*q^410+365254053176*p ^53*q^412+1914386006763*p^51*q^414+5645358540140*p^49*q^416+7894433404258*p^47* q^418+4523100530804*p^45*q^420+1174229660817*p^43*q^422+193121670398*p^41*q^424 +28073599189*p^39*q^426+3657921978*p^37*q^428+467376060*p^35*q^430+44869558*p^ 33*q^432+4521912*p^31*q^434+56096*p^29*q^436+728*p^27*q^438+6*p^64*q^400+45170* p^62*q^402+2592100*p^60*q^404+186121784*p^58*q^406+6960497005*p^56*q^408+ 116787699804*p^54*q^410+836451749874*p^52*q^412+3411379198238*p^50*q^414+ 7244638067353*p^48*q^416+6712221781620*p^46*q^418+2566162931544*p^44*q^420+ 511240676228*p^42*q^422+76790823091*p^40*q^424+10676912024*p^38*q^426+ 1495387578*p^36*q^428+129273952*p^34*q^430+22698228*p^32*q^432+753756*p^30*q^ 434+1140*p^28*q^436+554*p^63*q^400+226980*p^61*q^402+20450642*p^59*q^404+ 1075744039*p^57*q^406+28650916696*p^55*q^408+315420140784*p^53*q^410+ 1711803192708*p^51*q^412+5275256454898*p^49*q^414+7709982081058*p^47*q^416+ 4671300850632*p^45*q^418+1253787462628*p^43*q^420+209653851284*p^41*q^422+ 30361979928*p^39*q^424+3924975031*p^37*q^426+532661486*p^35*q^428+43358362*p^33 *q^430+6455216*p^31*q^432+78188*p^29*q^434+8*p^27*q^436+16*p^64*q^398+21848*p^ 62*q^400+1657206*p^60*q^402+134569937*p^58*q^404+5347742970*p^56*q^406+ 96987651390*p^54*q^408+736951827622*p^52*q^410+3102962221063*p^50*q^412+ 6916923148544*p^48*q^414+6717048700085*p^46*q^416+2703660899264*p^44*q^418+ 550998314387*p^42*q^420+83309271978*p^40*q^422+11700673626*p^38*q^424+ 1587881992*p^36*q^426+151582848*p^34*q^428+22445070*p^32*q^430+840706*p^30*q^ 432+5888*p^28*q^434+48*p^26*q^436+130*p^63*q^398+234690*p^61*q^400+14609140*p^ 59*q^402+806293836*p^57*q^404+22741763676*p^55*q^406+269950433704*p^53*q^408+ 1531805147977*p^51*q^410+4889501892692*p^49*q^412+7538782307590*p^47*q^414+ 4790428554396*p^45*q^416+1342531129465*p^43*q^418+227242404042*p^41*q^420+ 32975228376*p^39*q^422+4251209346*p^37*q^424+610909846*p^35*q^426+42933828*p^33 *q^428+8273944*p^31*q^430+166480*p^29*q^432+12*p^27*q^434+8*p^64*q^396+10804*p^ 62*q^398+1190326*p^60*q^400+98100568*p^58*q^402+4059896156*p^56*q^404+ 79855579860*p^54*q^406+644030474947*p^52*q^408+2826334719818*p^50*q^410+ 6554780080069*p^48*q^412+6736435782446*p^46*q^414+2833438057944*p^44*q^416+ 595467500468*p^42*q^418+90362534880*p^40*q^420+12801862894*p^38*q^422+ 1681699646*p^36*q^424+175945104*p^34*q^426+22252960*p^32*q^428+1449464*p^30*q^ 430+6488*p^28*q^432+424*p^63*q^396+142760*p^61*q^398+9816712*p^59*q^400+ 583500446*p^57*q^402+17832297514*p^55*q^404+230630604207*p^53*q^406+ 1362898320300*p^51*q^408+4542939665226*p^49*q^410+7317349695886*p^47*q^412+ 4919549311994*p^45*q^414+1428958450974*p^43*q^416+246490501239*p^41*q^418+ 35564224212*p^39*q^420+4649963830*p^37*q^422+669160424*p^35*q^424+46426214*p^33 *q^426+9200802*p^31*q^428+126508*p^29*q^430+320*p^27*q^432+2120*p^62*q^396+ 957902*p^60*q^398+70598133*p^58*q^400+3103014546*p^56*q^402+65360210043*p^54*q^ 404+563789609078*p^52*q^406+2557354528561*p^50*q^408+6220261462440*p^48*q^410+ 6700158834181*p^46*q^412+2970780090216*p^44*q^414+640924385585*p^42*q^416+ 98258860168*p^40*q^418+13971108240*p^38*q^420+1771484630*p^36*q^422+211302884*p ^34*q^424+20137280*p^32*q^426+2224864*p^30*q^428+28684*p^28*q^430+138*p^63*q^ 394+98906*p^61*q^396+7158049*p^59*q^398+435393172*p^57*q^400+13965129252*p^55*q ^402+195020557974*p^53*q^404+1213122067271*p^51*q^406+4186214796064*p^49*q^408+ 7109140168801*p^47*q^410+5015563231576*p^45*q^412+1525657608889*p^43*q^414+ 267028466376*p^41*q^416+38561023253*p^39*q^418+5115752288*p^37*q^420+734118878* p^35*q^422+52670912*p^33*q^424+10311746*p^31*q^426+224628*p^29*q^428+228*p^27*q ^430+8*p^64*q^392+5070*p^62*q^394+775446*p^60*q^396+50333488*p^58*q^398+ 2324579714*p^56*q^400+52881695308*p^54*q^402+489325659511*p^52*q^404+ 2316372326792*p^50*q^406+5859502255979*p^48*q^408+6677143900114*p^46*q^410+ 3099160904683*p^44*q^412+691351942166*p^42*q^414+106646569394*p^40*q^416+ 15200735694*p^38*q^418+1879854100*p^36*q^420+246262502*p^34*q^422+17931244*p^32 *q^424+2876592*p^30*q^426+23854*p^28*q^428+4*p^26*q^430+32*p^63*q^392+31290*p^ 61*q^394+4622144*p^59*q^396+313100159*p^57*q^398+10799757034*p^55*q^400+ 164597895330*p^53*q^402+1073233725530*p^51*q^404+3868640810810*p^49*q^406+ 6856372352180*p^47*q^408+5120181512162*p^45*q^410+1618011707984*p^43*q^412+ 289411040383*p^41*q^414+41689545690*p^39*q^416+5645152962*p^37*q^418+776218106* p^35*q^420+61664308*p^33*q^422+10786972*p^31*q^424+420592*p^29*q^426+2808*p^27* q^428+1718*p^62*q^392+584368*p^60*q^394+36953645*p^58*q^396+1757527842*p^56*q^ 398+42651760119*p^54*q^400+424928125888*p^52*q^402+2084653291143*p^50*q^404+ 5526745575604*p^48*q^406+6598049302142*p^46*q^408+3234001336924*p^44*q^410+ 743159042825*p^42*q^412+116049843220*p^40*q^414+16448445500*p^38*q^416+ 2007314556*p^36*q^418+287560680*p^34*q^420+17729242*p^32*q^422+3440552*p^30*q^ 424+21592*p^28*q^426+124*p^63*q^390+37748*p^61*q^392+3742270*p^59*q^394+ 231140568*p^57*q^396+8359691975*p^55*q^398+137222317980*p^53*q^400+949593247059 *p^51*q^402+3544648793864*p^49*q^404+6620144861790*p^47*q^406+5189702770806*p^ 45*q^408+1721134336052*p^43*q^410+313121937984*p^41*q^412+45337880656*p^39*q^ 414+6239540306*p^37*q^416+829087486*p^35*q^418+74571928*p^33*q^420+9609904*p^31 *q^422+686256*p^29*q^424+5284*p^27*q^426+748*p^62*q^390+299804*p^60*q^392+ 25290500*p^58*q^394+1297150501*p^56*q^396+33953411106*p^54*q^398+365607377588*p ^52*q^400+1878338793926*p^50*q^402+5174447993027*p^48*q^404+6534249881246*p^46* q^406+3354616518296*p^44*q^408+800062257144*p^42*q^410+125961239750*p^40*q^412+ 17757644810*p^38*q^414+2175584944*p^36*q^416+318565462*p^34*q^418+17695024*p^32 *q^420+4486556*p^30*q^422+54124*p^28*q^424+96*p^26*q^426+32*p^63*q^388+19676*p^ 61*q^390+2860562*p^59*q^392+168069969*p^57*q^394+6414521842*p^55*q^396+ 114146668575*p^53*q^398+835241949968*p^51*q^400+3255913452718*p^49*q^402+ 6344010457966*p^47*q^404+5266241211215*p^45*q^406+1819485924332*p^43*q^408+ 339355807199*p^41*q^410+49134350444*p^39*q^412+6879134286*p^37*q^414+857694736* p^35*q^416+93086540*p^33*q^418+8795160*p^31*q^420+847736*p^29*q^422+936*p^27*q^ 424+920*p^62*q^388+221604*p^60*q^390+17941325*p^58*q^392+965371544*p^56*q^394+ 26908282297*p^54*q^396+314253235090*p^52*q^398+1680897625131*p^50*q^400+ 4852479983326*p^48*q^402+6415561767431*p^46*q^404+3483147873378*p^44*q^406+ 857451413997*p^42*q^408+136883639498*p^40*q^410+19189671237*p^38*q^412+ 2392473096*p^36*q^414+354490436*p^34*q^416+19687314*p^32*q^418+4632126*p^30*q^ 420+112764*p^28*q^422+788*p^26*q^424+4*p^63*q^386+8388*p^61*q^388+1926274*p^59* q^390+124033052*p^57*q^392+4903376698*p^55*q^394+93924289628*p^53*q^396+ 734485763092*p^51*q^398+2967253688476*p^49*q^400+6085721842816*p^47*q^402+ 5303416250220*p^45*q^404+1927337642896*p^43*q^406+366953381320*p^41*q^408+ 53610039007*p^39*q^410+7496100158*p^37*q^412+893377907*p^35*q^414+111512368*p^ 33*q^416+7229816*p^31*q^418+1277838*p^29*q^420+4624*p^27*q^422+824*p^62*q^386+ 171544*p^60*q^388+13721074*p^58*q^390+713134991*p^56*q^392+21165516684*p^54*q^ 394+267256721251*p^52*q^396+1505244052774*p^50*q^398+4515347664747*p^48*q^400+ 6311574638332*p^46*q^402+3594058835827*p^44*q^404+921419341680*p^42*q^406+ 148527794677*p^40*q^408+20726281238*p^38*q^410+2672195506*p^36*q^412+385927466* p^34*q^414+24195302*p^32*q^416+4904936*p^30*q^418+177932*p^28*q^420+6544*p^61*q ^386+1236382*p^59*q^388+86066786*p^57*q^390+3690011334*p^55*q^392+76717785928*p ^53*q^394+641532735594*p^51*q^396+2710436799705*p^49*q^398+5796702542988*p^47*q ^400+5349741049664*p^45*q^402+2028359017008*p^43*q^404+397202342368*p^41*q^406+ 58171711818*p^39*q^408+8146863465*p^37*q^410+930182816*p^35*q^412+128545054*p^ 33*q^414+6176414*p^31*q^416+1574756*p^29*q^418+10484*p^27*q^420+52*p^25*q^422+ 140*p^62*q^384+71160*p^60*q^386+9755110*p^58*q^388+531200462*p^56*q^390+ 16607189322*p^54*q^392+227322837202*p^52*q^394+1339929350976*p^50*q^396+ 4208021455268*p^48*q^398+6157162740739*p^46*q^400+3709440961180*p^44*q^402+ 985014410474*p^42*q^404+161325863106*p^40*q^406+22448518669*p^38*q^408+ 2982481448*p^36*q^410+402985623*p^34*q^412+32079538*p^32*q^414+4236284*p^30*q^ 416+246648*p^28*q^418+200*p^26*q^420+8114*p^61*q^384+1072924*p^59*q^386+ 65049714*p^57*q^388+2802091641*p^55*q^390+62112431410*p^53*q^392+559520966811*p ^51*q^394+2454999070776*p^49*q^396+5524953110886*p^47*q^398+5353917958288*p^45* q^400+2139982959225*p^43*q^402+429117105200*p^41*q^404+63529594052*p^39*q^406+ 8812443692*p^37*q^408+1000726224*p^35*q^410+153426756*p^33*q^412+5882942*p^31*q ^414+2052972*p^29*q^416+30704*p^27*q^418+48*p^62*q^382+53140*p^60*q^384+6692678 *p^58*q^386+385970411*p^56*q^388+12828168286*p^54*q^390+190801462228*p^52*q^392 +1192809747360*p^50*q^394+3892888247912*p^48*q^396+6018452099296*p^46*q^398+ 3806393025484*p^44*q^400+1055266427170*p^42*q^402+174872027189*p^40*q^404+ 24335843110*p^38*q^406+3305482603*p^36*q^408+415503894*p^34*q^410+37841146*p^32 *q^412+3316764*p^30*q^414+368276*p^28*q^416+408*p^26*q^418+2870*p^61*q^382+ 545646*p^59*q^384+45753382*p^57*q^386+2090728120*p^55*q^388+50060777278*p^53*q^ 390+484792336582*p^51*q^392+2229859265181*p^49*q^394+5228675086540*p^47*q^396+ 5364467011790*p^45*q^398+2241839919590*p^43*q^400+463761740389*p^41*q^402+ 68956819282*p^39*q^404+9500891997*p^37*q^406+1096429800*p^35*q^408+169780673*p^ 33*q^410+7465062*p^31*q^412+2216046*p^29*q^414+37354*p^27*q^416+16*p^62*q^380+ 48970*p^60*q^382+5320656*p^58*q^384+287241040*p^56*q^386+9950612112*p^54*q^388+ 159924630848*p^52*q^390+1055067789176*p^50*q^392+3606034900902*p^48*q^394+ 5832205457046*p^46*q^396+3907604682614*p^44*q^398+1124650177093*p^42*q^400+ 190114391912*p^40*q^402+26478203443*p^38*q^404+3652333396*p^36*q^406+420740924* p^34*q^408+49281850*p^32*q^410+2380858*p^30*q^412+556812*p^28*q^414+3140*p^26*q ^416+8*p^63*q^378+1164*p^61*q^380+381594*p^59*q^382+33313616*p^57*q^384+ 1569153478*p^55*q^386+39901721226*p^53*q^388+418800244005*p^51*q^390+ 2008149961120*p^49*q^392+4952867550393*p^47*q^394+5334775051790*p^45*q^396+ 2352618733728*p^43*q^398+500520474462*p^41*q^400+75106379111*p^39*q^402+ 10234367308*p^37*q^404+1229614746*p^35*q^406+187508808*p^33*q^408+9128212*p^31* q^410+1972300*p^29*q^412+58976*p^27*q^414+8*p^62*q^378+33192*p^60*q^380+3531134 *p^58*q^382+208041359*p^56*q^384+7609894752*p^54*q^386+132317562090*p^52*q^388+ 933593624090*p^50*q^390+3315345842126*p^48*q^392+5663424856914*p^46*q^394+ 3984058361681*p^44*q^396+1201609650184*p^42*q^398+205807765517*p^40*q^400+ 28875158706*p^38*q^402+3986473303*p^36*q^404+429531376*p^34*q^406+58879630*p^32 *q^408+1778216*p^30*q^410+833668*p^28*q^412+6044*p^26*q^414+504*p^61*q^378+ 266824*p^59*q^380+24383456*p^57*q^382+1167112298*p^55*q^384+31634505620*p^53*q^ 386+359208405184*p^51*q^388+1811974167654*p^49*q^390+4657193082096*p^47*q^392+ 5312322839797*p^45*q^394+2453118636260*p^43*q^396+539931303293*p^41*q^398+ 81619322250*p^39*q^400+11027471558*p^37*q^402+1385444468*p^35*q^404+196727800*p ^33*q^406+12364094*p^31*q^408+1677606*p^29*q^410+91592*p^27*q^412+104*p^25*q^ 414+128*p^62*q^376+14352*p^60*q^378+2293678*p^58*q^380+151270122*p^56*q^382+ 5807382722*p^54*q^384+109300938336*p^52*q^386+819907218061*p^50*q^388+ 3053828419134*p^48*q^390+5453051633382*p^46*q^392+4065242575094*p^44*q^394+ 1275661765904*p^42*q^396+223730826478*p^40*q^398+31393137620*p^38*q^400+ 4338899106*p^36*q^402+447396214*p^34*q^404+70139112*p^32*q^406+1875756*p^30*q^ 408+836560*p^28*q^410+5822*p^26*q^412+156*p^61*q^376+231213*p^59*q^378+18284762 *p^57*q^380+876141642*p^55*q^382+24943250180*p^53*q^384+306873475719*p^51*q^386 +1622836683464*p^49*q^388+4381912812182*p^47*q^390+5245848286958*p^45*q^392+ 2562080979263*p^43*q^394+581318619824*p^41*q^396+88777736632*p^39*q^398+ 11958864860*p^37*q^400+1558481859*p^35*q^402+201591650*p^33*q^404+16648506*p^31 *q^406+930328*p^29*q^408+216528*p^27*q^410+852*p^25*q^412+16*p^62*q^374+8370*p^ 60*q^376+1574398*p^58*q^378+111067111*p^56*q^380+4391525694*p^54*q^382+ 88941411761*p^52*q^384+719660285880*p^50*q^386+2789593920475*p^48*q^388+ 5260677801936*p^46*q^390+4121198653513*p^44*q^392+1357480895192*p^42*q^394+ 242415860560*p^40*q^396+34357414152*p^38*q^398+4667954961*p^36*q^400+492299224* p^34*q^402+80821084*p^32*q^404+2378608*p^30*q^406+986184*p^28*q^408+8516*p^26*q ^410+6*p^63*q^372+1000*p^61*q^374+129012*p^59*q^376+12296776*p^57*q^378+ 637667918*p^55*q^380+19476238516*p^53*q^382+259998089940*p^51*q^384+ 1455821274215*p^49*q^386+4095642503128*p^47*q^388+5189422562064*p^45*q^390+ 2655974504556*p^43*q^392+626465672564*p^41*q^394+96210544250*p^39*q^396+ 12897195397*p^37*q^398+1736715562*p^35*q^400+194700644*p^33*q^402+20501324*p^31 *q^404+510838*p^29*q^406+238128*p^27*q^408+276*p^25*q^410+2424*p^60*q^374+ 1198406*p^58*q^376+81581368*p^56*q^378+3348457047*p^54*q^380+72364006562*p^52*q ^382+627391110175*p^50*q^384+2552771003886*p^48*q^386+5031506676107*p^46*q^388+ 4178348066734*p^44*q^390+1435965819771*p^42*q^392+262981414242*p^40*q^394+ 37435882477*p^38*q^396+5054613876*p^36*q^398+548846106*p^34*q^400+91546216*p^32 *q^402+3794368*p^30*q^404+731040*p^28*q^406+36300*p^26*q^408+56*p^24*q^410+464* p^61*q^372+82372*p^59*q^374+8860374*p^57*q^376+479949430*p^55*q^378+15116562408 *p^53*q^380+219220675335*p^51*q^382+1294810726094*p^49*q^384+3829550631397*p^47 *q^386+5091642391478*p^45*q^388+2759113906385*p^43*q^390+672728172650*p^41*q^ 392+104898368071*p^39*q^394+14062225248*p^37*q^396+1919752792*p^35*q^398+ 195190814*p^33*q^400+26022604*p^31*q^402+375340*p^29*q^404+358188*p^27*q^406+ 380*p^25*q^408+110*p^62*q^370+5844*p^60*q^372+887048*p^58*q^374+59488231*p^56*q ^376+2497390080*p^54*q^378+58057673786*p^52*q^380+545552976440*p^50*q^382+ 2318502685319*p^48*q^384+4820738136198*p^46*q^386+4208405510364*p^44*q^388+ 1521705706830*p^42*q^390+284828270727*p^40*q^392+40750214350*p^38*q^394+ 5403018229*p^36*q^396+626584624*p^34*q^398+95371690*p^32*q^400+4815324*p^30*q^ 402+367206*p^28*q^404+50716*p^26*q^406+32*p^61*q^370+34324*p^59*q^372+5848157*p ^57*q^374+346255220*p^55*q^376+11669721247*p^53*q^378+183057640368*p^51*q^380+ 1154188958237*p^49*q^382+3555694363186*p^47*q^384+5003504750571*p^45*q^386+ 2845369139526*p^43*q^388+722818180706*p^41*q^390+113676349256*p^39*q^392+ 15365314195*p^37*q^394+2105688612*p^35*q^396+198135356*p^33*q^398+31904176*p^31 *q^400+655166*p^29*q^402+418132*p^27*q^404+3288*p^25*q^406+4780*p^60*q^370+ 568750*p^58*q^372+43587020*p^56*q^374+1894293050*p^54*q^376+46529809962*p^52*q^ 378+471123551661*p^50*q^380+2108303864446*p^48*q^382+4580449901435*p^46*q^384+ 4239256386110*p^44*q^386+1601984392346*p^42*q^388+308968599054*p^40*q^390+ 44355626086*p^38*q^392+5788837862*p^36*q^394+710630116*p^34*q^396+94148040*p^32 *q^398+6688050*p^30*q^400+129840*p^28*q^402+73152*p^26*q^404+884*p^61*q^368+ 32310*p^59*q^370+4766206*p^57*q^372+259136154*p^55*q^374+8963642856*p^53*q^376+ 152041816087*p^51*q^378+1019425654210*p^49*q^380+3303347771462*p^47*q^382+ 4876032912712*p^45*q^384+2938891264674*p^43*q^386+774443090010*p^41*q^388+ 123846027045*p^39*q^390+16800761416*p^37*q^392+2306042223*p^35*q^394+213787716* p^33*q^396+39359010*p^31*q^398+922476*p^29*q^400+284390*p^27*q^402+8932*p^25*q^ 404+1124*p^60*q^368+337034*p^58*q^370+29317937*p^56*q^372+1403901954*p^54*q^374 +36730977771*p^52*q^376+405401783284*p^50*q^378+1902505141100*p^48*q^380+ 4360172504528*p^46*q^382+4241354663815*p^44*q^384+1690012095568*p^42*q^386+ 333996475690*p^40*q^388+48245089660*p^38*q^390+6238269382*p^36*q^392+801072328* p^34*q^394+90785944*p^32*q^396+8248960*p^30*q^398+83240*p^28*q^400+148836*p^26* q^402+112*p^24*q^404+204*p^61*q^366+31852*p^59*q^368+3256870*p^57*q^370+ 192076858*p^55*q^372+6846289211*p^53*q^374+125170948034*p^51*q^376+901701983190 *p^49*q^378+3047273176884*p^47*q^380+4759127476951*p^45*q^382+3012986083486*p^ 43*q^384+829719394971*p^41*q^386+134399031596*p^39*q^388+18385162106*p^37*q^390 +2466812890*p^35*q^392+239271696*p^33*q^394+42994422*p^31*q^396+1414716*p^29*q^ 398+140768*p^27*q^400+7236*p^25*q^402+4338*p^60*q^366+197460*p^58*q^368+ 22036220*p^56*q^370+1043734940*p^54*q^372+29008296056*p^52*q^374+345928595666*p ^50*q^376+1719040873638*p^48*q^378+4115300707460*p^46*q^380+4245766734980*p^44* q^382+1770885326593*p^42*q^384+361866794980*p^40*q^386+52403001411*p^38*q^388+ 6764485106*p^36*q^390+908480913*p^34*q^392+86665650*p^32*q^394+11630630*p^30*q^ 396+137540*p^28*q^398+141268*p^26*q^400+1084*p^24*q^402+4*p^61*q^364+14460*p^59 *q^366+2251016*p^57*q^368+138484382*p^55*q^370+5236857958*p^53*q^372+ 102413544942*p^51*q^374+790407402164*p^49*q^376+2812833303945*p^47*q^378+ 4605704308488*p^45*q^380+3092930492930*p^43*q^382+885421076604*p^41*q^384+ 146394765118*p^39*q^386+20091517806*p^37*q^388+2636190577*p^35*q^390+269769388* p^33*q^392+44890910*p^31*q^394+1773126*p^29*q^396+26050*p^27*q^398+31668*p^25*q ^400+3184*p^60*q^364+189376*p^58*q^366+16464450*p^56*q^368+784194388*p^54*q^370 +22593333711*p^52*q^372+293768330644*p^50*q^374+1540962679783*p^48*q^376+ 3889873596762*p^46*q^378+4219235062359*p^44*q^380+1859614280898*p^42*q^382+ 390805754164*p^40*q^384+57056906882*p^38*q^386+7371148244*p^36*q^388+1019624296 *p^34*q^390+87458606*p^32*q^392+15150536*p^30*q^394+229766*p^28*q^396+115760*p^ 26*q^398+228*p^24*q^400+16*p^61*q^362+17464*p^59*q^364+1317990*p^57*q^366+ 97789466*p^55*q^368+3923808736*p^53*q^370+82913406774*p^51*q^372+693181858830*p ^49*q^374+2577858699450*p^47*q^376+4465931769829*p^45*q^378+3151741958468*p^43* q^380+945477733669*p^41*q^382+158846170198*p^39*q^384+21896028133*p^37*q^386+ 2799613740*p^35*q^388+309564132*p^33*q^390+43227464*p^31*q^392+2366198*p^29*q^ 394+14546*p^27*q^396+42792*p^25*q^398+60*p^23*q^400+266*p^60*q^362+108390*p^58* q^364+11679122*p^56*q^366+584770260*p^54*q^368+17678577640*p^52*q^370+ 247616351081*p^50*q^372+1382922996844*p^48*q^374+3648082557373*p^46*q^376+ 4194225802008*p^44*q^378+1937907850635*p^42*q^380+422490747422*p^40*q^382+ 61947775852*p^38*q^384+8087988104*p^36*q^386+1113068573*p^34*q^388+89279308*p^ 32*q^390+18057836*p^30*q^392+372192*p^28*q^394+35322*p^26*q^396+3604*p^24*q^398 +22348*p^59*q^362+1074530*p^57*q^364+74732072*p^55*q^366+2988595486*p^53*q^368+ 66772113431*p^51*q^370+601765593782*p^49*q^372+2363122412999*p^47*q^374+ 4291227870504*p^45*q^376+3215227137739*p^43*q^378+1005735643704*p^41*q^380+ 173089647102*p^39*q^382+23904892936*p^37*q^384+2994658808*p^35*q^386+365287230* p^33*q^388+42806840*p^31*q^390+3791488*p^29*q^392+24098*p^27*q^394+54706*p^25*q ^396+498*p^60*q^360+84282*p^58*q^362+7923104*p^56*q^364+422002902*p^54*q^366+ 13565774691*p^52*q^368+207177807390*p^50*q^370+1230822279007*p^48*q^372+ 3425547221408*p^46*q^374+4141658629941*p^44*q^376+2024724388554*p^42*q^378+ 454966095314*p^40*q^380+67500719472*p^38*q^382+8850871954*p^36*q^384+1202924756 *p^34*q^386+96500840*p^32*q^388+19166404*p^30*q^390+347020*p^28*q^392+2416*p^26 *q^394+8236*p^24*q^396+6080*p^59*q^360+673642*p^57*q^362+53537836*p^55*q^364+ 2244131933*p^53*q^366+53337670468*p^51*q^368+522477852365*p^49*q^370+ 2152202377514*p^47*q^372+4131223463240*p^45*q^374+3254675407734*p^43*q^376+ 1069169793572*p^41*q^378+187824172038*p^39*q^380+25938717218*p^37*q^382+ 3210904494*p^35*q^384+421821464*p^33*q^386+38273352*p^31*q^388+5382380*p^29*q^ 390+69722*p^27*q^392+33756*p^25*q^394+152*p^23*q^396+3*p^62*q^356+36*p^60*q^358 +101904*p^58*q^360+5657412*p^56*q^362+314707011*p^54*q^364+10492511416*p^52*q^ 366+171960341325*p^50*q^368+1096449787404*p^48*q^370+3189079632781*p^46*q^372+ 4089316433040*p^44*q^374+2099267543869*p^42*q^376+491220585148*p^40*q^378+ 73393786997*p^38*q^380+9769606782*p^36*q^382+1283477000*p^34*q^384+111186464*p^ 32*q^386+21184492*p^30*q^388+651988*p^28*q^390+1280*p^26*q^392+13944*p^24*q^394 +6002*p^59*q^358+476406*p^57*q^360+39500235*p^55*q^362+1688124864*p^53*q^364+ 42296170996*p^51*q^366+448725515884*p^49*q^368+1959474532081*p^47*q^370+ 3944456617968*p^45*q^372+3298947386153*p^43*q^374+1132269242740*p^41*q^376+ 204254831109*p^39*q^378+28224642392*p^37*q^380+3471790101*p^35*q^382+478958142* p^33*q^384+35384256*p^31*q^386+6464016*p^29*q^388+51450*p^27*q^390+3448*p^25*q^ 392+1028*p^23*q^394+20*p^60*q^356+58536*p^58*q^358+3959073*p^56*q^360+230351624 *p^54*q^362+7992741923*p^52*q^364+141787583012*p^50*q^366+968077132389*p^48*q^ 368+2974541375506*p^46*q^370+4007261234853*p^44*q^372+2180082431224*p^42*q^374+ 527828461030*p^40*q^376+80121518342*p^38*q^378+10678062612*p^36*q^380+ 1358875848*p^34*q^382+133220538*p^32*q^384+20901410*p^30*q^386+1127306*p^28*q^ 388+8596*p^26*q^390+18746*p^24*q^392+51*p^61*q^354+1424*p^59*q^356+420750*p^57* q^358+27620766*p^55*q^360+1251436378*p^53*q^362+33287471938*p^51*q^364+ 384643671979*p^49*q^366+1772068215338*p^47*q^368+3770987007919*p^45*q^370+ 3319159078400*p^43*q^372+1199661186812*p^41*q^374+221333065774*p^39*q^376+ 30650832177*p^37*q^378+3801796266*p^35*q^380+532779946*p^33*q^382+34380382*p^31 *q^384+7743064*p^29*q^386+71956*p^27*q^388+20*p^25*q^390+1680*p^23*q^392+44386* p^58*q^356+2598976*p^56*q^358+171348689*p^54*q^360+6123479276*p^52*q^362+ 115913772922*p^50*q^364+855327907392*p^48*q^366+2750999783919*p^46*q^368+ 3930371684628*p^44*q^370+2246372459490*p^42*q^372+567553780876*p^40*q^374+ 87263881450*p^38*q^376+11680198402*p^36*q^378+1423522354*p^34*q^380+160668888*p ^32*q^382+18362136*p^30*q^384+1667244*p^28*q^386+10598*p^26*q^388+4004*p^24*q^ 390+64*p^22*q^392+358*p^59*q^354+335316*p^57*q^356+20636853*p^55*q^358+ 934247260*p^53*q^360+26118316563*p^51*q^362+326161559388*p^49*q^364+ 1602131100390*p^47*q^366+3573663690434*p^45*q^368+3341583984965*p^43*q^370+ 1264399705042*p^41*q^372+240843908335*p^39*q^374+33319921700*p^37*q^376+ 4210196137*p^35*q^378+584650524*p^33*q^380+37005336*p^31*q^382+9544960*p^29*q^ 384+158748*p^27*q^386+504*p^25*q^388+5940*p^23*q^390+368*p^60*q^352+22524*p^58* q^354+2007551*p^56*q^356+124364662*p^54*q^358+4641218186*p^52*q^360+93910909874 *p^50*q^362+748405913268*p^48*q^364+2547285777674*p^46*q^366+3825632089383*p^44 *q^368+2319871637994*p^42*q^370+608261900993*p^40*q^372+95119975738*p^38*q^374+ 12732630602*p^36*q^376+1499439350*p^34*q^378+190231660*p^32*q^380+15872098*p^30 *q^382+2005666*p^28*q^384+4076*p^26*q^386+64*p^22*q^390+6*p^61*q^350+240*p^59*q ^352+251726*p^57*q^354+13548470*p^55*q^356+689818480*p^53*q^358+20226944168*p^ 51*q^360+275919522619*p^49*q^362+1438229809558*p^47*q^364+3393486092854*p^45*q^ 366+3338445152200*p^43*q^368+1333182035561*p^41*q^370+260390631992*p^39*q^372+ 36316455208*p^37*q^374+4622696154*p^35*q^376+626365134*p^33*q^378+44073954*p^31 *q^380+9569558*p^29*q^382+311124*p^27*q^384+1812*p^25*q^386+2730*p^23*q^388+92* p^60*q^350+4878*p^58*q^352+1514626*p^56*q^354+92916799*p^54*q^356+3512932052*p^ 52*q^358+75827657423*p^50*q^360+654553378422*p^48*q^362+2340364962057*p^46*q^ 364+3724619769490*p^44*q^366+2376030813286*p^42*q^368+652349932402*p^40*q^370+ 103642430326*p^38*q^372+13830426422*p^36*q^374+1618070751*p^34*q^376+220416770* p^32*q^378+12801790*p^30*q^380+2985712*p^28*q^382+14714*p^26*q^384+8*p^24*q^386 +994*p^22*q^388+1489*p^59*q^350+189162*p^57*q^352+10122478*p^55*q^354+516653284 *p^53*q^356+15746484248*p^51*q^358+230337546100*p^49*q^360+1290500462378*p^47*q ^362+3192527057118*p^45*q^364+3338323699069*p^43*q^366+1398051608884*p^41*q^368 +282684991512*p^39*q^370+39584847312*p^37*q^372+5138456889*p^35*q^374+650021150 *p^33*q^376+56096268*p^31*q^378+9381334*p^29*q^380+417362*p^27*q^382+60*p^25*q^ 384+110*p^60*q^348+5012*p^58*q^350+1222046*p^56*q^352+66015740*p^54*q^354+ 2628137423*p^52*q^356+60386759028*p^50*q^358+566766302134*p^48*q^360+ 2151491410858*p^46*q^362+3600687041915*p^44*q^364+2438593579114*p^42*q^366+ 696679677212*p^40*q^368+113083077062*p^38*q^370+15003684669*p^36*q^372+ 1748431820*p^34*q^374+254652316*p^32*q^376+11809308*p^30*q^378+3610888*p^28*q^ 380+35528*p^26*q^382+160*p^24*q^384+1120*p^22*q^386+1314*p^59*q^348+61316*p^57* q^350+6960412*p^55*q^352+378937060*p^53*q^354+12096670692*p^51*q^356+ 192028084262*p^49*q^358+1149730997828*p^47*q^360+3009871146524*p^45*q^362+ 3311882792972*p^43*q^364+1466311591143*p^41*q^366+305204669254*p^39*q^368+ 43153977651*p^37*q^370+5626517304*p^35*q^372+676598501*p^33*q^374+67333192*p^31 *q^376+7375554*p^29*q^378+619728*p^27*q^380+788*p^25*q^382+68*p^21*q^386+4484*p ^58*q^348+1037908*p^56*q^350+47655137*p^54*q^352+1987655288*p^52*q^354+ 48029178507*p^50*q^356+489916562940*p^48*q^358+1961844870459*p^46*q^360+ 3480390570472*p^44*q^362+2482225498954*p^42*q^364+744467110504*p^40*q^366+ 123096434032*p^38*q^368+16325604932*p^36*q^370+1940668474*p^34*q^372+280266382* p^32*q^374+13838226*p^30*q^376+4398246*p^28*q^378+75438*p^26*q^380+932*p^59*q^ 346+49450*p^57*q^348+5463620*p^55*q^350+286112184*p^53*q^352+9282272504*p^51*q^ 354+157985911526*p^49*q^356+1022782071778*p^47*q^358+2812541247360*p^45*q^360+ 3288823285042*p^43*q^362+1529323001756*p^41*q^364+330754742634*p^39*q^366+ 47137048822*p^37*q^368+6172351185*p^35*q^370+697986850*p^33*q^372+84456094*p^31 *q^374+5424890*p^29*q^376+916068*p^27*q^378+1916*p^25*q^380+4*p^23*q^382+272*p^ 21*q^384+8*p^60*q^344+8024*p^58*q^346+537446*p^56*q^348+33561914*p^54*q^350+ 1470572677*p^52*q^352+37824490598*p^50*q^354+418804696975*p^48*q^356+ 1790789053930*p^46*q^358+3338778519187*p^44*q^360+2530416196242*p^42*q^362+ 792034003086*p^40*q^364+134057531044*p^38*q^366+17714019458*p^36*q^368+ 2157921720*p^34*q^370+300844852*p^32*q^372+16845808*p^30*q^374+4281100*p^28*q^ 376+91976*p^26*q^378+12*p^24*q^380+278*p^59*q^344+25075*p^57*q^346+4534544*p^55 *q^348+206717592*p^53*q^350+7076157128*p^51*q^352+129460986449*p^49*q^354+ 903050492834*p^47*q^356+2632027068689*p^45*q^358+3240720612390*p^43*q^360+ 1595939654065*p^41*q^362+356292114424*p^39*q^364+51578337054*p^37*q^366+ 6714812346*p^35*q^368+731530634*p^33*q^370+101346172*p^31*q^372+4024052*p^29*q^ 374+1359584*p^27*q^376+9464*p^25*q^378+8*p^60*q^342+5776*p^58*q^344+341778*p^56 *q^346+24160870*p^54*q^348+1111700148*p^52*q^350+29672116457*p^50*q^352+ 357357825718*p^48*q^354+1621062929415*p^46*q^356+3204746073424*p^44*q^358+ 2558183306970*p^42*q^360+842596683196*p^40*q^362+145807545528*p^38*q^364+ 19252886622*p^36*q^366+2401445307*p^34*q^368+314026060*p^32*q^370+21882892*p^30 *q^372+3566128*p^28*q^374+155940*p^26*q^376+28*p^24*q^378+36*p^20*q^382+126*p^ 59*q^342+30600*p^57*q^344+3191030*p^55*q^346+152049172*p^53*q^348+5380571392*p^ 51*q^350+104960254158*p^49*q^352+795750350982*p^47*q^354+2440886740912*p^45*q^ 356+3194924598057*p^43*q^358+1654833445028*p^41*q^360+385311807841*p^39*q^362+ 56331181818*p^37*q^364+7332042421*p^35*q^366+793082066*p^33*q^368+117743891*p^ 31*q^370+3817964*p^29*q^372+1767468*p^27*q^374+13236*p^25*q^376+4320*p^58*q^342 +219755*p^56*q^344+19054732*p^54*q^346+829648696*p^52*q^348+23093973638*p^50*q^ 350+301101589185*p^48*q^352+1467612171180*p^46*q^354+3052186777484*p^44*q^356+ 2590925177872*p^42*q^358+892521963731*p^40*q^360+158703870050*p^38*q^362+ 20999145201*p^36*q^364+2664174132*p^34*q^366+316350172*p^32*q^368+29283490*p^30 *q^370+2564952*p^28*q^372+261892*p^26*q^374+548*p^24*q^376+152*p^59*q^340+29334 *p^57*q^342+1983518*p^55*q^344+106621570*p^53*q^346+4040154272*p^51*q^348+ 84607850224*p^49*q^350+695351832436*p^47*q^352+2268198817094*p^45*q^354+ 3124929701074*p^43*q^356+1716992794973*p^41*q^358+414012011374*p^39*q^360+ 61558258425*p^37*q^362+7899493170*p^35*q^364+869870017*p^33*q^366+133258140*p^ 31*q^368+4431374*p^29*q^370+1760720*p^27*q^372+16776*p^25*q^374+2*p^19*q^380+ 1170*p^58*q^340+123994*p^56*q^342+14428111*p^54*q^344+619666902*p^52*q^346+ 17962270274*p^50*q^348+253320167044*p^48*q^350+1318367784972*p^46*q^352+ 2907746707798*p^44*q^354+2601524520285*p^42*q^356+945326158660*p^40*q^358+ 172289539725*p^38*q^360+22967116250*p^36*q^362+2952759163*p^34*q^364+320759880* p^32*q^366+36185728*p^30*q^368+1376702*p^28*q^370+494360*p^26*q^372+1936*p^24*q ^374+16*p^59*q^338+30152*p^57*q^340+1477638*p^55*q^342+81543716*p^53*q^344+ 3079084630*p^51*q^346+67615134280*p^49*q^348+605406040797*p^47*q^350+ 2087416253664*p^45*q^352+3057822906948*p^43*q^354+1769219318310*p^41*q^356+ 446380003762*p^39*q^358+67270316530*p^37*q^360+8579011559*p^35*q^362+974889566* p^33*q^364+144303180*p^31*q^366+6734864*p^29*q^368+1776376*p^27*q^370+29420*p^ 25*q^372+8*p^23*q^374+1600*p^58*q^338+129624*p^56*q^340+10056834*p^54*q^342+ 448750083*p^52*q^344+13756818034*p^50*q^346+210009782829*p^48*q^348+ 1183932723316*p^46*q^350+2749231140918*p^44*q^352+2617499748532*p^42*q^354+ 996618210038*p^40*q^356+187444935276*p^38*q^358+25117526536*p^36*q^360+ 3239170520*p^34*q^362+327528912*p^32*q^364+45089018*p^30*q^366+894460*p^28*q^ 368+557192*p^26*q^370+940*p^24*q^372+12144*p^57*q^338+771322*p^55*q^340+ 59453107*p^53*q^342+2315717040*p^51*q^344+53819583471*p^49*q^346+523141026628*p ^47*q^348+1924462124759*p^45*q^350+2969496529222*p^43*q^352+1823445520400*p^41* q^354+478027586350*p^39*q^356+73341591935*p^37*q^358+9249012536*p^35*q^360+ 1093765476*p^33*q^362+148305926*p^31*q^364+8789266*p^29*q^366+1086056*p^27*q^ 368+92484*p^25*q^370+168*p^23*q^372+514*p^58*q^336+133384*p^56*q^338+7546260*p^ 54*q^340+335666040*p^52*q^342+10581483189*p^50*q^344+173846560492*p^48*q^346+ 1053439971546*p^46*q^348+2599532300176*p^44*q^350+2609277294557*p^42*q^352+ 1050985538682*p^40*q^354+203317063129*p^38*q^356+27602747148*p^36*q^358+ 3543392800*p^34*q^360+348942220*p^32*q^362+54205134*p^30*q^364+1199476*p^28*q^ 366+774080*p^26*q^368+1700*p^24*q^370+8*p^59*q^334+11166*p^57*q^336+609122*p^55 *q^338+44627946*p^53*q^340+1737681188*p^51*q^342+42439404860*p^49*q^344+ 449633135210*p^47*q^346+1758204500010*p^45*q^348+2884438902185*p^43*q^350+ 1867862519676*p^41*q^352+513302837648*p^39*q^354+80016486836*p^37*q^356+ 10066459886*p^35*q^358+1232189968*p^33*q^360+146949793*p^31*q^362+11814482*p^29 *q^364+482980*p^27*q^366+119368*p^25*q^368+12*p^23*q^370+56*p^58*q^334+94401*p^ 56*q^336+4806636*p^54*q^338+246270719*p^52*q^340+8072649916*p^50*q^342+ 141936092955*p^48*q^344+936894974936*p^46*q^346+2438654879949*p^44*q^348+ 2605587109220*p^42*q^350+1101587500761*p^40*q^352+220923362920*p^38*q^354+ 30196610394*p^36*q^356+3826723928*p^34*q^358+379236173*p^32*q^360+62961860*p^30 *q^362+1738240*p^28*q^364+737484*p^26*q^366+10360*p^24*q^368+4*p^22*q^370+6464* p^57*q^334+504974*p^55*q^336+33056895*p^53*q^338+1291213374*p^51*q^340+ 33263705339*p^49*q^342+382992581518*p^47*q^344+1608282643859*p^45*q^346+ 2779799267514*p^43*q^348+1913760912151*p^41*q^350+548225867226*p^39*q^352+ 87278071388*p^37*q^354+10980614956*p^35*q^356+1386757375*p^33*q^358+145354588*p ^31*q^360+15194004*p^29*q^362+229644*p^27*q^364+192520*p^25*q^366+28*p^23*q^368 +136*p^58*q^332+61264*p^56*q^334+3203898*p^54*q^336+181620060*p^52*q^338+ 6166740459*p^50*q^340+115723347376*p^48*q^342+825737871570*p^46*q^344+ 2288435599496*p^44*q^346+2579603849837*p^42*q^348+1154697446018*p^40*q^350+ 238924647625*p^38*q^352+33086057356*p^36*q^354+4096451420*p^34*q^356+422494762* p^32*q^358+67121906*p^30*q^360+2475482*p^28*q^362+432152*p^26*q^364+20048*p^24* q^366+4*p^59*q^330+1604*p^57*q^332+477780*p^55*q^334+24065618*p^53*q^336+ 975171159*p^51*q^338+25925479606*p^49*q^340+324433398987*p^47*q^342+ 1456681405334*p^45*q^344+2679984437475*p^43*q^346+1945776376800*p^41*q^348+ 586714521670*p^39*q^350+95273898360*p^37*q^352+12067829803*p^35*q^354+ 1557185832*p^33*q^356+145464112*p^31*q^358+20126176*p^29*q^360+276414*p^27*q^ 362+304564*p^25*q^364+556*p^23*q^366+16*p^58*q^330+49766*p^56*q^332+2294340*p^ 54*q^334+135918909*p^52*q^336+4648252656*p^50*q^338+93032845359*p^48*q^340+ 726042482662*p^46*q^342+2130323711938*p^44*q^344+2557253702156*p^42*q^346+ 1204440258998*p^40*q^348+259081513182*p^38*q^350+36128044495*p^36*q^352+ 4418464808*p^34*q^354+478801070*p^32*q^356+68823260*p^30*q^358+3341190*p^28*q^ 360+176332*p^26*q^362+24936*p^24*q^364+1440*p^57*q^330+314326*p^55*q^332+ 16229140*p^53*q^334+712295204*p^51*q^336+20102580404*p^49*q^338+272141335684*p^ 47*q^340+1321368314264*p^45*q^342+2563493532632*p^43*q^344+1980661038997*p^41*q ^346+623445145260*p^39*q^348+103825839595*p^37*q^350+13240214044*p^35*q^352+ 1688999488*p^33*q^354+147701218*p^31*q^356+24845407*p^29*q^358+411248*p^27*q^ 360+259818*p^25*q^362+2580*p^23*q^364+60*p^58*q^328+19660*p^56*q^330+1876349*p^ 54*q^332+101426998*p^52*q^334+3542259000*p^50*q^336+74746259604*p^48*q^338+ 632631714432*p^46*q^340+1983527661678*p^44*q^342+2512081329454*p^42*q^344+ 1255258751760*p^40*q^346+279646814641*p^38*q^348+39586885166*p^36*q^350+ 4752826710*p^34*q^352+563143170*p^32*q^354+68183811*p^30*q^356+4540114*p^28*q^ 358+48780*p^26*q^360+74272*p^24*q^362+8*p^22*q^364+464*p^57*q^328+273070*p^55*q ^330+11740410*p^53*q^332+536429981*p^51*q^334+15514563402*p^49*q^336+ 226881576524*p^47*q^338+1186185679014*p^45*q^340+2451566301468*p^43*q^342+ 2000599809008*p^41*q^344+664357154300*p^39*q^346+113283597616*p^37*q^348+ 14563265049*p^35*q^350+1840998794*p^33*q^352+155074039*p^31*q^354+28431016*p^29 *q^356+651388*p^27*q^358+172004*p^25*q^360+1324*p^23*q^362+8*p^58*q^326+13546*p ^56*q^328+1489344*p^54*q^330+73217292*p^52*q^332+2651592108*p^50*q^334+ 59156891567*p^48*q^336+549179568936*p^46*q^338+1831535750919*p^44*q^340+ 2472667934740*p^42*q^342+1300809580179*p^40*q^344+302485541286*p^38*q^346+ 43153209000*p^36*q^348+5188613188*p^34*q^350+639454866*p^32*q^352+65776944*p^30 *q^354+6687007*p^28*q^356+49556*p^26*q^358+91328*p^24*q^360+184*p^22*q^362+472* p^57*q^326+149978*p^55*q^328+7810507*p^53*q^330+395559028*p^51*q^332+ 11892509475*p^49*q^334+187500995592*p^47*q^336+1065676237259*p^45*q^338+ 2327545239974*p^43*q^340+2021296239228*p^41*q^342+703013557742*p^39*q^344+ 123397636967*p^37*q^346+15986342028*p^35*q^348+1950594296*p^33*q^350+176522888* p^31*q^352+30628677*p^29*q^354+744812*p^27*q^356+41884*p^25*q^358+10168*p^23*q^ 360+5842*p^56*q^326+1210712*p^54*q^328+54065862*p^52*q^330+2003219883*p^50*q^ 332+46948518986*p^48*q^334+471981595259*p^46*q^336+1691573755874*p^44*q^338+ 2410188284961*p^42*q^340+1347941508556*p^40*q^342+325539264947*p^38*q^344+ 47251142744*p^36*q^346+5669292506*p^34*q^348+731496138*p^32*q^350+60539374*p^30 *q^352+8918924*p^28*q^354+113496*p^26*q^356+98716*p^24*q^358+16*p^22*q^360+240* p^57*q^324+101698*p^55*q^326+6363670*p^53*q^328+296712800*p^51*q^330+9114976096 *p^49*q^332+153670589191*p^47*q^334+947208978660*p^45*q^336+2208111964834*p^43* q^338+2027664737522*p^41*q^340+745260751073*p^39*q^342+134404689112*p^37*q^344+ 17569213674*p^35*q^346+2089276284*p^33*q^348+206375611*p^31*q^350+32390402*p^29 *q^352+1253069*p^27*q^354+5140*p^25*q^356+19144*p^23*q^358+4*p^21*q^360+3532*p^ 56*q^324+842240*p^54*q^326+36794855*p^52*q^328+1487221276*p^50*q^330+ 36680985163*p^48*q^332+403968728300*p^46*q^334+1549006491143*p^44*q^336+ 2354050286340*p^42*q^338+1387694553060*p^40*q^340+350957453110*p^38*q^342+ 51605722695*p^36*q^344+6236331440*p^34*q^346+803076806*p^32*q^348+58258182*p^30 *q^350+10685408*p^28*q^352+109582*p^26*q^354+46336*p^24*q^356+628*p^22*q^358+6* p^59*q^320+12*p^57*q^322+54214*p^55*q^324+4941200*p^53*q^326+219907002*p^51*q^ 328+6951737327*p^49*q^330+124949695552*p^47*q^332+841828726504*p^45*q^334+ 2079118078704*p^43*q^336+2033906768829*p^41*q^338+784809559256*p^39*q^340+ 146347719797*p^37*q^342+19188569608*p^35*q^344+2233853629*p^33*q^346+247024490* p^31*q^348+31195008*p^29*q^350+2012880*p^27*q^352+14184*p^25*q^354+30784*p^23*q ^356+4*p^58*q^320+2756*p^56*q^322+572441*p^54*q^324+26644248*p^52*q^326+ 1117564059*p^50*q^328+28670577860*p^48*q^330+342183791463*p^46*q^332+ 1418042362936*p^44*q^334+2277825686284*p^42*q^336+1428900101722*p^40*q^338+ 376372569362*p^38*q^340+56461112604*p^36*q^342+6892102235*p^34*q^344+869391430* p^32*q^346+61252063*p^30*q^348+12621218*p^28*q^350+155558*p^26*q^352+3888*p^24* q^354+2512*p^22*q^356+8*p^57*q^320+27694*p^55*q^322+3843384*p^53*q^324+ 161894951*p^51*q^326+5283710984*p^49*q^328+101102533387*p^47*q^330+739578040426 *p^45*q^332+1957309429002*p^43*q^334+2024053018770*p^41*q^336+827224889777*p^39 *q^338+159129235000*p^37*q^340+21050402404*p^35*q^342+2400808432*p^33*q^344+ 293488586*p^31*q^346+27177618*p^29*q^348+2819954*p^27*q^350+19220*p^25*q^352+ 30108*p^23*q^354+8*p^21*q^356+110*p^58*q^318+600*p^56*q^320+396054*p^54*q^322+ 20352212*p^52*q^324+834926270*p^50*q^326+22196444537*p^48*q^328+287741585806*p^ 46*q^330+1286669022702*p^44*q^332+2206251689858*p^42*q^334+1461820860880*p^40*q ^336+404632058174*p^38*q^338+61689175497*p^36*q^340+7612739672*p^34*q^342+ 934323618*p^32*q^344+69606104*p^30*q^346+14726710*p^28*q^348+313842*p^26*q^350+ 936*p^24*q^352+4792*p^22*q^354+60*p^57*q^318+21856*p^55*q^320+2650195*p^53*q^ 322+113232084*p^51*q^324+3969872134*p^49*q^326+80791531712*p^47*q^328+ 649675129266*p^45*q^330+1827984649076*p^43*q^332+2016750401367*p^41*q^334+ 866179279742*p^39*q^336+172825754174*p^37*q^338+22960887530*p^35*q^340+ 2612448527*p^33*q^342+330982276*p^31*q^344+23782296*p^29*q^346+3493658*p^27*q^ 348+11610*p^25*q^350+5156*p^23*q^352+188*p^21*q^354+200*p^56*q^318+194392*p^54* q^320+15636118*p^52*q^322+628717289*p^50*q^324+17252116082*p^48*q^326+ 240295912754*p^46*q^328+1166765451522*p^44*q^330+2117662822797*p^42*q^332+ 1494114090906*p^40*q^334+431949435220*p^38*q^336+67574189276*p^36*q^338+ 8380508896*p^34*q^340+980812214*p^32*q^342+88384878*p^30*q^344+14374470*p^28*q^ 346+550980*p^26*q^348+3024*p^24*q^350+11032*p^22*q^352+860*p^57*q^316+9390*p^55 *q^318+2134616*p^53*q^320+84841098*p^51*q^322+3014387690*p^49*q^324+64305438811 *p^47*q^326+562821387688*p^45*q^328+1705865703040*p^43*q^330+1991517719012*p^41 *q^332+908512660214*p^39*q^334+187687293244*p^37*q^336+25179099766*p^35*q^338+ 2883511482*p^33*q^340+380365710*p^31*q^342+20765758*p^29*q^344+4925642*p^27*q^ 346+32876*p^25*q^348+20*p^23*q^350+300*p^21*q^352+460*p^56*q^316+149428*p^54*q^ 318+11295788*p^52*q^320+458442862*p^50*q^322+13163205812*p^48*q^324+ 198902504960*p^46*q^326+1048426385415*p^44*q^328+2035480741538*p^42*q^330+ 1518022745355*p^40*q^332+462160647960*p^38*q^334+73773676632*p^36*q^336+ 9201839850*p^34*q^338+1033079036*p^32*q^340+104143664*p^30*q^342+13191318*p^28* q^344+735118*p^26*q^346+632*p^24*q^348+4004*p^22*q^350+4*p^20*q^352+184*p^57*q^ 314+2980*p^55*q^316+1203608*p^53*q^318+62202708*p^51*q^320+2258437365*p^49*q^ 322+50841919298*p^47*q^324+487259470002*p^45*q^326+1579654421886*p^43*q^328+ 1968327194131*p^41*q^330+945258198052*p^39*q^332+203442876180*p^37*q^334+ 27474724470*p^35*q^336+3194958479*p^33*q^338+409781400*p^31*q^340+23203168*p^29 *q^342+5836350*p^27*q^344+71206*p^25*q^346+268*p^23*q^348+2164*p^21*q^350+3870* p^56*q^314+83008*p^54*q^316+9011720*p^52*q^318+339696308*p^50*q^320+10145601302 *p^48*q^322+163212821035*p^46*q^324+940630487024*p^44*q^326+1937788858662*p^42* q^328+1541154419240*p^40*q^330+491556907592*p^38*q^332+80802613972*p^36*q^334+ 10109579583*p^34*q^336+1096848262*p^32*q^338+129971396*p^30*q^340+10297872*p^28 *q^342+1102586*p^26*q^344+2112*p^24*q^346+4*p^20*q^350+3224*p^55*q^314+869692*p ^53*q^316+46435231*p^51*q^318+1704751888*p^49*q^320+39931775363*p^47*q^322+ 416243939736*p^45*q^324+1461227965455*p^43*q^326+1928859884826*p^41*q^328+ 985294920333*p^39*q^330+219995049474*p^37*q^332+30146469380*p^35*q^334+ 3541603292*p^33*q^336+439920984*p^31*q^338+26943220*p^29*q^340+6508861*p^27*q^ 342+128432*p^25*q^344+60*p^23*q^346+1820*p^21*q^348+2776*p^56*q^312+35944*p^54* q^314+6265194*p^52*q^316+248111242*p^50*q^318+7688683833*p^48*q^320+ 132910371578*p^46*q^322+835520687939*p^44*q^324+1846561851654*p^42*q^326+ 1554389358349*p^40*q^328+523286137172*p^38*q^330+88292915469*p^36*q^332+ 11046207194*p^34*q^334+1185745504*p^32*q^336+151797982*p^30*q^338+8063832*p^28* q^340+1611042*p^26*q^342+5220*p^24*q^344+8*p^22*q^346+192*p^20*q^348+11812*p^55 *q^312+551668*p^53*q^314+34705894*p^51*q^316+1267874574*p^49*q^318+31165246976* p^47*q^320+354703416605*p^45*q^322+1340558273246*p^43*q^324+1891795461850*p^41* q^326+1018960373832*p^39*q^328+237989771806*p^37*q^330+32947500272*p^35*q^332+ 3937049214*p^33*q^334+456725028*p^31*q^336+34821308*p^29*q^338+6108780*p^27*q^ 340+172736*p^25*q^342+52*p^23*q^344+3*p^58*q^308+164*p^56*q^310+24146*p^54*q^ 312+4268202*p^52*q^314+183971548*p^50*q^316+5863883984*p^48*q^318+107422724272* p^46*q^320+740684874950*p^44*q^322+1743826143879*p^42*q^324+1566195565080*p^40* q^326+553728555856*p^38*q^328+96451053708*p^36*q^330+12064744487*p^34*q^332+ 1296895288*p^32*q^334+173408208*p^30*q^336+7103022*p^28*q^338+2177047*p^26*q^ 340+16364*p^24*q^342+4*p^22*q^344+480*p^20*q^346+17656*p^55*q^310+305118*p^53*q ^312+26872812*p^51*q^314+948986118*p^49*q^316+24267757264*p^47*q^318+ 298244155404*p^45*q^320+1228178864375*p^43*q^322+1838268176256*p^41*q^324+ 1055168956248*p^39*q^326+256551153308*p^37*q^328+36280199088*p^35*q^330+ 4360306456*p^33*q^332+476570260*p^31*q^334+45611524*p^29*q^336+4786662*p^27*q^ 338+299884*p^25*q^340+222*p^23*q^342+4*p^19*q^346+148*p^56*q^308+32552*p^54*q^ 310+3058107*p^52*q^312+135258834*p^50*q^314+4423342139*p^48*q^316+86046052956*p ^46*q^318+649027423690*p^44*q^320+1647539343982*p^42*q^322+1567888190324*p^40*q ^324+586706413600*p^38*q^326+105174228679*p^36*q^328+13173699830*p^34*q^330+ 1440842716*p^32*q^332+191487588*p^30*q^334+7502102*p^28*q^336+2701736*p^26*q^ 338+23600*p^24*q^340+51*p^57*q^306+4476*p^55*q^308+178744*p^53*q^310+18627350*p ^51*q^312+696602709*p^49*q^314+18690843278*p^47*q^316+249931337173*p^45*q^318+ 1116314431186*p^43*q^320+1788508214348*p^41*q^322+1084075392588*p^39*q^324+ 276405865711*p^37*q^326+39753204282*p^35*q^328+4788563294*p^33*q^330+492464804* p^31*q^332+55117018*p^29*q^334+3440864*p^27*q^336+461953*p^25*q^338+1096*p^23*q ^340+68*p^19*q^344+64706*p^54*q^308+1873496*p^52*q^310+102786922*p^50*q^312+ 3362372422*p^48*q^314+68654179378*p^46*q^316+567691604990*p^44*q^318+ 1541281706195*p^42*q^320+1568162959112*p^40*q^322+617143786346*p^38*q^324+ 114762324992*p^36*q^326+14388329101*p^34*q^328+1619132286*p^32*q^330+205124312* p^30*q^332+10930618*p^28*q^334+2565700*p^26*q^336+36570*p^24*q^338+8*p^22*q^340 +2456*p^55*q^306+132274*p^53*q^308+14237966*p^51*q^310+521853442*p^49*q^312+ 14400521355*p^47*q^314+206640581374*p^45*q^316+1011288041195*p^43*q^318+ 1724297943730*p^41*q^320+1114735847997*p^39*q^322+296980675068*p^37*q^324+ 43777307244*p^35*q^326+5260920706*p^33*q^328+524788784*p^31*q^330+67708758*p^29 *q^332+2036286*p^27*q^334+796408*p^25*q^336+3152*p^23*q^338+366*p^56*q^304+ 40120*p^54*q^306+1202318*p^52*q^308+75200454*p^50*q^310+2504276925*p^48*q^312+ 54230656690*p^46*q^314+490204822190*p^44*q^316+1443748139032*p^42*q^318+ 1556937513722*p^40*q^320+650508686808*p^38*q^322+124819122984*p^36*q^324+ 15776656096*p^34*q^326+1808081976*p^32*q^328+212147694*p^30*q^330+13724574*p^28 *q^332+2316832*p^26*q^334+60626*p^24*q^336+24*p^22*q^338+4*p^18*q^342+318*p^55* q^304+178034*p^53*q^306+9290088*p^51*q^308+383219484*p^49*q^310+11010580654*p^ 47*q^312+170251824867*p^45*q^314+908859086696*p^43*q^316+1663059553353*p^41*q^ 318+1137623756232*p^39*q^320+318675865351*p^37*q^322+47886334678*p^35*q^324+ 5720510438*p^33*q^326+569180530*p^31*q^328+77848342*p^29*q^330+2236836*p^27*q^ 332+910200*p^25*q^334+2664*p^23*q^336+84*p^56*q^302+20908*p^54*q^304+746392*p^ 52*q^306+57462888*p^50*q^308+1890041104*p^48*q^310+42714597266*p^46*q^312+ 422201203158*p^44*q^314+1338528080201*p^42*q^316+1545063931182*p^40*q^318+ 680160759778*p^38*q^320+135923501404*p^36*q^322+17391026383*p^34*q^324+ 2028828732*p^32*q^326+214965324*p^30*q^328+18726124*p^28*q^330+1369362*p^26*q^ 332+153174*p^24*q^334+276*p^22*q^336+1459*p^55*q^302+187190*p^53*q^304+6598702* p^51*q^306+287053164*p^49*q^308+8420312444*p^47*q^310+138456480486*p^45*q^312+ 813588113921*p^43*q^314+1589233263232*p^41*q^316+1161540961412*p^39*q^318+ 340843371834*p^37*q^320+52673019931*p^35*q^322+6209536956*p^33*q^324+633930618* p^31*q^326+88949542*p^29*q^328+2782764*p^27*q^330+1100484*p^25*q^332+4956*p^23* q^334+7918*p^54*q^302+589988*p^52*q^304+40469380*p^50*q^306+1404048267*p^48*q^ 308+33256928784*p^46*q^310+358872256748*p^44*q^312+1241294496344*p^42*q^314+ 1522329648055*p^40*q^316+712402483816*p^38*q^318+147539961893*p^36*q^320+ 19125715710*p^34*q^322+2253342464*p^32*q^324+219132890*p^30*q^326+23022020*p^28 *q^328+728126*p^26*q^330+214702*p^24*q^332+108*p^22*q^334+1294*p^55*q^300+ 122622*p^53*q^302+4191532*p^51*q^304+214867984*p^49*q^306+6371632040*p^47*q^308 +112379082847*p^45*q^310+721653481232*p^43*q^312+1519892038773*p^41*q^314+ 1176128639640*p^39*q^316+364246169083*p^37*q^318+57558132470*p^35*q^320+ 6777629945*p^33*q^322+712958384*p^31*q^324+93855008*p^29*q^326+4006784*p^27*q^ 328+976412*p^25*q^330+17716*p^23*q^332+8*p^21*q^334+4180*p^54*q^300+618392*p^52 *q^302+29331070*p^50*q^304+1046384036*p^48*q^306+25926130621*p^46*q^308+ 303680222416*p^44*q^310+1139811091986*p^42*q^312+1498239520000*p^40*q^314+ 740726464011*p^38*q^316+160199189114*p^36*q^318+21082986809*p^34*q^320+ 2469384632*p^32*q^322+226239080*p^30*q^324+29404250*p^28*q^326+568306*p^26*q^ 328+307414*p^24*q^330+268*p^22*q^332+66*p^55*q^298+75130*p^53*q^300+2801820*p^ 51*q^302+160693298*p^49*q^304+4847904032*p^47*q^306+90010397980*p^45*q^308+ 637659509501*p^43*q^310+1439130884514*p^41*q^312+1191815278932*p^39*q^314+ 387380511278*p^37*q^316+63179926873*p^35*q^318+7430071068*p^33*q^320+817169356* p^31*q^322+97404296*p^29*q^324+5404604*p^27*q^326+542776*p^25*q^328+36858*p^23* q^330+4*p^21*q^332+9004*p^54*q^298+523610*p^52*q^300+20749134*p^50*q^302+ 780757978*p^48*q^304+19980481080*p^46*q^306+253707775980*p^44*q^308+ 1045230832408*p^42*q^310+1463783779083*p^40*q^312+770925621792*p^38*q^314+ 173485356894*p^36*q^316+23249653672*p^34*q^318+2679855919*p^32*q^320+242110308* p^30*q^322+35173920*p^28*q^324+660364*p^26*q^326+438154*p^24*q^328+1032*p^22*q^ 330+3*p^57*q^294+66*p^55*q^296+22940*p^53*q^298+2170810*p^51*q^300+114797981*p^ 49*q^302+3625749004*p^47*q^304+71804786152*p^45*q^306+557578730978*p^43*q^308+ 1364417884522*p^41*q^310+1198104660118*p^39*q^312+411982956158*p^37*q^314+ 68943426060*p^35*q^316+8147306206*p^33*q^318+925967634*p^31*q^320+95412784*p^29 *q^322+7030646*p^27*q^324+266754*p^25*q^326+47572*p^23*q^328+12*p^21*q^330+1860 *p^54*q^296+408852*p^52*q^298+13700576*p^50*q^300+591292044*p^48*q^302+ 15424869392*p^46*q^304+211492966086*p^44*q^306+949036472375*p^42*q^308+ 1428495056884*p^40*q^310+795542311336*p^38*q^312+187683335036*p^36*q^314+ 25573514413*p^34*q^316+2909725350*p^32*q^318+266742764*p^30*q^320+40248028*p^28 *q^322+1077664*p^26*q^324+347406*p^24*q^326+4556*p^22*q^328+40560*p^53*q^296+ 1879062*p^51*q^298+87413984*p^49*q^300+2736296694*p^47*q^302+56781446534*p^45*q ^304+484427441924*p^43*q^306+1279748984714*p^41*q^308+1204483823184*p^39*q^310+ 436253395264*p^37*q^312+75678616583*p^35*q^314+9011900998*p^33*q^316+1044004587 *p^31*q^318+96178146*p^29*q^320+9907358*p^27*q^322+107820*p^25*q^324+115678*p^ 23*q^326+20*p^21*q^328+51*p^56*q^292+1044*p^54*q^294+192096*p^52*q^296+9615052* p^50*q^298+429179131*p^48*q^300+11758180794*p^46*q^302+173444950376*p^44*q^304+ 860686264872*p^42*q^306+1383510232207*p^40*q^308+822737099974*p^38*q^310+ 202292813114*p^36*q^312+28112098176*p^34*q^314+3148342578*p^32*q^316+305751854* p^30*q^318+42114692*p^28*q^320+1241540*p^26*q^322+219594*p^24*q^324+3884*p^22*q ^326+19484*p^53*q^294+1580504*p^51*q^296+60099928*p^49*q^298+2057030864*p^47*q^ 300+44728594715*p^45*q^302+417325037576*p^43*q^304+1201080143922*p^41*q^306+ 1201139023182*p^39*q^308+461102906753*p^37*q^310+82497263802*p^35*q^312+ 9949044998*p^33*q^314+1143276016*p^31*q^316+93738398*p^29*q^318+12864890*p^27*q ^320+180702*p^25*q^322+135292*p^23*q^324+314*p^21*q^326+137*p^54*q^292+160026*p ^52*q^294+7169303*p^50*q^296+325266420*p^48*q^298+8984552899*p^46*q^300+ 142033780676*p^44*q^302+771264640776*p^42*q^304+1338426185816*p^40*q^306+ 843040224793*p^38*q^308+218355192880*p^36*q^310+30904675786*p^34*q^312+ 3438378514*p^32*q^314+360008381*p^30*q^316+43968540*p^28*q^318+2000840*p^26*q^ 320+63540*p^24*q^322+17244*p^22*q^324+366*p^55*q^290+8744*p^53*q^292+1101331*p^ 51*q^294+43121416*p^49*q^296+1540798358*p^47*q^298+34908102996*p^45*q^300+ 356753380891*p^43*q^302+1115564356104*p^41*q^304+1198119108578*p^39*q^306+ 485329036818*p^37*q^308+90172663524*p^35*q^310+11014351876*p^33*q^312+ 1247035588*p^31*q^314+96621370*p^29*q^316+15336142*p^27*q^318+188470*p^25*q^320 +128624*p^23*q^322+224*p^21*q^324+76*p^54*q^290+124678*p^52*q^292+5591004*p^50* q^294+237211298*p^48*q^296+6805371074*p^46*q^298+114718516289*p^44*q^300+ 689659058962*p^42*q^302+1284575026620*p^40*q^304+864997338782*p^38*q^306+ 234311694987*p^36*q^308+34046780010*p^34*q^310+3756883881*p^32*q^312+416476312* p^30*q^314+42924130*p^28*q^316+2988300*p^26*q^318+24000*p^24*q^320+31290*p^22*q ^322+8*p^20*q^324+84*p^55*q^288+3599*p^53*q^290+704854*p^51*q^292+30191265*p^49 *q^294+1144771382*p^47*q^296+27121906310*p^45*q^298+301745800872*p^43*q^300+ 1036106406377*p^41*q^302+1184983375648*p^39*q^304+510457141778*p^37*q^306+ 98259808690*p^35*q^308+12116807322*p^33*q^310+1349378636*p^31*q^312+107929275*p ^29*q^314+17365876*p^27*q^316+280136*p^25*q^318+62944*p^23*q^320+1214*p^21*q^ 322+1491*p^54*q^288+55232*p^52*q^290+4469776*p^50*q^292+172924168*p^48*q^294+ 5174903401*p^46*q^296+92522639510*p^44*q^298+609856848947*p^42*q^300+ 1231449476654*p^40*q^302+880027634499*p^38*q^304+251476760154*p^36*q^306+ 37278870878*p^34*q^308+4164874872*p^32*q^310+468919402*p^30*q^312+38565986*p^28 *q^314+4187304*p^26*q^316+30676*p^24*q^318+43284*p^22*q^320+12*p^20*q^322+1338* p^53*q^288+603687*p^51*q^290+22081040*p^49*q^292+860974031*p^47*q^294+ 20965742230*p^45*q^296+253388203506*p^43*q^298+951265620778*p^41*q^300+ 1171475146871*p^39*q^302+533584704620*p^37*q^304+107274279481*p^35*q^306+ 13448409664*p^33*q^308+1448279107*p^31*q^310+129849874*p^29*q^312+19935332*p^27 *q^314+495830*p^25*q^316+7344*p^23*q^318+4428*p^21*q^320+1170*p^54*q^286+37341* p^52*q^288+3138030*p^50*q^290+124548144*p^48*q^292+3882941426*p^46*q^294+ 73470244075*p^44*q^296+536992078346*p^42*q^298+1170659852186*p^40*q^300+ 896765743842*p^38*q^302+268912957199*p^36*q^304+41019577716*p^34*q^306+ 4580951270*p^32*q^308+527698518*p^30*q^310+36093888*p^28*q^312+5097132*p^26*q^ 314+25604*p^24*q^316+40476*p^22*q^318+20*p^20*q^320+4378*p^53*q^286+309662*p^51 *q^288+16310606*p^49*q^290+632221866*p^47*q^292+16106781689*p^45*q^294+ 210783013934*p^43*q^296+873134135580*p^41*q^298+1149028319568*p^39*q^300+ 557098415751*p^37*q^302+116352015702*p^35*q^304+14782413167*p^33*q^306+ 1567742052*p^31*q^308+151774224*p^29*q^310+18920546*p^27*q^312+828556*p^25*q^ 314+4472*p^23*q^316+7608*p^21*q^318+66*p^54*q^284+13910*p^52*q^286+2483882*p^50 *q^288+89773062*p^48*q^290+2935459279*p^46*q^292+58448612704*p^44*q^294+ 467185796036*p^42*q^296+1111609110220*p^40*q^298+904779892607*p^38*q^300+ 287456144842*p^36*q^302+45022052753*p^34*q^304+5101767554*p^32*q^306+573753987* p^30*q^308+37429200*p^28*q^310+6932960*p^26*q^312+59536*p^24*q^314+7644*p^22*q^ 316+368*p^20*q^318+6780*p^53*q^284+236438*p^51*q^286+12523736*p^49*q^288+ 472528150*p^47*q^290+12349199292*p^45*q^292+173821299463*p^43*q^294+ 791693428664*p^41*q^296+1125838474328*p^39*q^298+578704090498*p^37*q^300+ 126590269715*p^35*q^302+16302571848*p^33*q^304+1711076455*p^31*q^306+182069734* p^29*q^308+17476272*p^27*q^310+1127196*p^25*q^312+1684*p^23*q^314+15192*p^21*q^ 316+66*p^54*q^282+15704*p^52*q^284+1588728*p^50*q^286+64057624*p^48*q^288+ 2183022526*p^46*q^290+45739007147*p^44*q^292+404402404224*p^42*q^294+ 1046061154349*p^40*q^296+914757231602*p^38*q^298+305567769069*p^36*q^300+ 49495787778*p^34*q^302+5658539726*p^32*q^304+617001558*p^30*q^306+42206620*p^28 *q^308+7858904*p^26*q^310+109564*p^24*q^312+384*p^22*q^314+592*p^20*q^316+1692* p^53*q^282+111452*p^51*q^284+9383011*p^49*q^286+340844132*p^47*q^288+9409563026 *p^45*q^290+142105435164*p^43*q^292+717381038860*p^41*q^294+1094131290998*p^39* q^296+600322483875*p^37*q^298+136874276118*p^35*q^300+17925574678*p^33*q^302+ 1867659228*p^31*q^304+210607816*p^29*q^306+14480074*p^27*q^308+1653106*p^25*q^ 310+5148*p^23*q^312+5746*p^21*q^314+12*p^19*q^316+23102*p^52*q^282+1125215*p^50 *q^284+47378744*p^48*q^286+1651116695*p^46*q^288+35898480948*p^44*q^290+ 345917129797*p^42*q^292+982203816598*p^40*q^294+915716383563*p^38*q^296+ 324670036640*p^36*q^298+54264126620*p^34*q^300+6280590028*p^32*q^302+663505478* p^30*q^304+51482196*p^28*q^306+8550440*p^26*q^308+197192*p^24*q^310+132*p^22*q^ 312+3122*p^20*q^314+1016*p^53*q^280+82782*p^51*q^282+6965458*p^49*q^284+ 251342646*p^47*q^286+7127365756*p^45*q^288+115271991651*p^43*q^290+641151654782 *p^41*q^292+1062914469105*p^39*q^294+618783387036*p^37*q^296+148548672595*p^35* q^298+19767946042*p^33*q^300+2078114312*p^31*q^302+236420402*p^29*q^304+ 13025972*p^27*q^306+2293836*p^25*q^308+8648*p^23*q^310+12*p^21*q^312+14*p^19*q^ 314+13944*p^52*q^280+705770*p^50*q^282+34982186*p^48*q^284+1213604006*p^46*q^ 286+27813921506*p^44*q^288+293924140796*p^42*q^290+914295750144*p^40*q^292+ 917433968270*p^38*q^294+343300457706*p^36*q^296+59464056530*p^34*q^298+ 6930454120*p^32*q^300+706107974*p^30*q^302+64408342*p^28*q^304+7795462*p^26*q^ 306+278140*p^24*q^308+276*p^22*q^310+2604*p^20*q^312+199*p^53*q^278+72726*p^51* q^280+4755676*p^49*q^282+180452068*p^47*q^284+5398373269*p^45*q^286+92575380766 *p^43*q^288+572250726293*p^41*q^290+1023099051852*p^39*q^292+637785782811*p^37* q^294+159969086982*p^35*q^296+21804234766*p^33*q^298+2310728368*p^31*q^300+ 260819078*p^29*q^302+13073726*p^27*q^304+2979842*p^25*q^306+24912*p^23*q^308+8* p^21*q^310+300*p^19*q^312+7888*p^52*q^278+433024*p^50*q^280+26442590*p^48*q^282 +904729466*p^46*q^284+21545915224*p^44*q^286+247115263352*p^42*q^288+ 848805418254*p^40*q^290+910678712511*p^38*q^292+362352854386*p^36*q^294+ 65060947392*p^34*q^296+7649700274*p^32*q^298+760035880*p^30*q^300+77249326*p^28 *q^302+6208276*p^26*q^304+458548*p^24*q^306+420*p^22*q^308+60770*p^51*q^278+ 3509456*p^49*q^280+132478785*p^47*q^282+4077892970*p^45*q^284+73981848987*p^43* q^286+503309039472*p^41*q^288+983581620606*p^39*q^290+652402548752*p^37*q^292+ 172832181018*p^35*q^294+24043103996*p^33*q^296+2586730017*p^31*q^298+282075918* p^29*q^300+16200760*p^27*q^302+3574448*p^25*q^304+38200*p^23*q^306+8*p^21*q^308 +694*p^19*q^310+4143*p^52*q^276+332026*p^50*q^278+19041422*p^48*q^280+665393988 *p^46*q^282+16481866960*p^44*q^284+205997281708*p^42*q^286+780161677323*p^40*q^ 288+905076012940*p^38*q^290+380730186780*p^36*q^292+71228231802*p^34*q^294+ 8447848224*p^32*q^296+826901624*p^30*q^298+91522346*p^28*q^300+4897472*p^26*q^ 302+666558*p^24*q^304+1768*p^22*q^306+8*p^18*q^310+48*p^53*q^274+41894*p^51*q^ 276+2079258*p^49*q^278+96244068*p^47*q^280+3031981405*p^45*q^282+58551629160*p^ 43*q^284+441737690933*p^41*q^286+937615765640*p^39*q^288+666862761843*p^37*q^ 290+185320648896*p^35*q^292+26490478507*p^33*q^294+2860290806*p^31*q^296+ 299204348*p^29*q^298+20149326*p^27*q^300+3192752*p^25*q^302+62324*p^23*q^304+16 *p^21*q^306+206*p^52*q^274+217025*p^50*q^276+14306172*p^48*q^278+489622545*p^46 *q^280+12711059788*p^44*q^282+170130865659*p^42*q^284+714915199024*p^40*q^286+ 890043190673*p^38*q^288+399541252878*p^36*q^290+77668392301*p^34*q^292+ 9310509800*p^32*q^294+920038937*p^30*q^296+104580368*p^28*q^298+4140170*p^26*q^ 300+1117720*p^24*q^302+4728*p^22*q^304+100*p^18*q^308+33896*p^51*q^274+1634026* p^49*q^276+72104936*p^47*q^278+2284328166*p^45*q^280+46040693497*p^43*q^282+ 381709500408*p^41*q^284+891797371970*p^39*q^286+676760535072*p^37*q^288+ 199136003770*p^35*q^290+29240871326*p^33*q^292+3210225126*p^31*q^294+313726326* p^29*q^296+26187422*p^27*q^298+2879284*p^25*q^300+93766*p^23*q^302+48*p^21*q^ 304+834*p^52*q^272+170794*p^50*q^274+9452470*p^48*q^276+353326562*p^46*q^278+ 9591475885*p^44*q^280+139280145894*p^42*q^282+648017967253*p^40*q^284+ 876514590874*p^38*q^286+417126113509*p^36*q^288+84844289092*p^34*q^290+ 10266927313*p^32*q^292+1013853254*p^30*q^294+118044860*p^28*q^296+4457228*p^26* q^298+1195102*p^24*q^300+5448*p^22*q^302+7976*p^51*q^272+978173*p^49*q^274+ 52672066*p^47*q^276+1696517911*p^45*q^278+35994899760*p^43*q^280+329075733545*p ^41*q^282+840589935696*p^39*q^284+686353019815*p^37*q^286+212205174888*p^35*q^ 288+32174087322*p^33*q^290+3531252416*p^31*q^292+334331977*p^29*q^294+31608782* p^27*q^296+1925494*p^25*q^298+225796*p^23*q^300+396*p^21*q^302+6*p^17*q^306+60* p^52*q^270+158847*p^50*q^272+6934260*p^48*q^274+262362286*p^46*q^276+7302201574 *p^44*q^278+113029968699*p^42*q^280+584796309444*p^40*q^282+854063826287*p^38*q ^284+434564344348*p^36*q^286+92366099821*p^34*q^288+11369351390*p^32*q^290+ 1149817241*p^30*q^292+127337550*p^28*q^294+5917042*p^26*q^296+1374916*p^24*q^ 298+8768*p^22*q^300+6724*p^51*q^270+670932*p^49*q^272+38573744*p^47*q^274+ 1255373484*p^45*q^276+27991460132*p^43*q^278+279092605712*p^41*q^280+ 790641456730*p^39*q^282+690488214114*p^37*q^284+226985460959*p^35*q^286+ 35407736700*p^33*q^288+3908385735*p^31*q^290+356247202*p^29*q^292+39041354*p^27 *q^294+1293366*p^25*q^296+304290*p^23*q^298+300*p^21*q^300+85462*p^50*q^270+ 4758659*p^48*q^272+190833818*p^46*q^274+5491449147*p^44*q^276+90891364896*p^42* q^278+521799434061*p^40*q^280+832450360580*p^38*q^282+450267786743*p^36*q^284+ 100365503856*p^34*q^286+12573496287*p^32*q^288+1292450034*p^30*q^290+133657638* p^28*q^292+7695528*p^26*q^294+1217300*p^24*q^296+27200*p^22*q^298+12*p^20*q^300 +2084*p^51*q^268+558451*p^49*q^270+27110310*p^47*q^272+920900520*p^45*q^274+ 21562778076*p^43*q^276+236033076177*p^41*q^278+736184700016*p^39*q^280+ 694719661472*p^37*q^282+240779067652*p^35*q^284+39034164971*p^33*q^286+ 4293235704*p^31*q^288+388378624*p^29*q^290+46624314*p^27*q^292+1152572*p^25*q^ 294+405334*p^23*q^296+620*p^21*q^298+12*p^52*q^266+41304*p^50*q^268+2987864*p^ 48*q^270+141370555*p^46*q^272+4147115434*p^44*q^274+72631187966*p^42*q^276+ 463240313310*p^40*q^278+803102744438*p^38*q^280+465629836606*p^36*q^282+ 108619823714*p^34*q^284+13879496910*p^32*q^286+1450957956*p^30*q^288+138132218* p^28*q^290+9784360*p^26*q^292+742452*p^24*q^294+55512*p^22*q^296+12*p^20*q^298+ 156*p^51*q^266+461626*p^49*q^268+20137632*p^47*q^270+683370636*p^45*q^272+ 16573842799*p^43*q^274+196551005128*p^41*q^276+683027052307*p^39*q^278+ 692597511020*p^37*q^280+255769052792*p^35*q^282+42960255478*p^33*q^284+ 4769776364*p^31*q^286+437236236*p^29*q^288+52753440*p^27*q^290+1576354*p^25*q^ 292+554682*p^23*q^294+1628*p^21*q^296+36*p^52*q^264+25738*p^50*q^266+2106221*p^ 48*q^268+102130096*p^46*q^270+3076105863*p^44*q^272+57479762336*p^42*q^274+ 405757562122*p^40*q^276+774946186020*p^38*q^278+478896628292*p^36*q^280+ 117816386052*p^34*q^282+15358167864*p^32*q^284+1605794332*p^30*q^286+141733406* p^28*q^288+13235548*p^26*q^290+402546*p^24*q^292+68512*p^22*q^294+32*p^20*q^296 +312*p^51*q^264+245142*p^49*q^266+13241632*p^47*q^268+495574300*p^45*q^270+ 12639639542*p^43*q^272+162987837350*p^41*q^274+627793116606*p^39*q^276+ 690382967811*p^37*q^278+269617276938*p^35*q^280+47067227939*p^33*q^282+ 5238732698*p^31*q^284+497714738*p^29*q^286+56270672*p^27*q^288+1871856*p^25*q^ 290+435854*p^23*q^292+7188*p^21*q^294+4260*p^50*q^264+1714756*p^48*q^266+ 75625988*p^46*q^268+2310028682*p^44*q^270+45287126899*p^42*q^272+353960989140*p ^40*q^274+739013014036*p^38*q^276+491339335518*p^36*q^278+126913743134*p^34*q^ 280+17070572616*p^32*q^282+1781559694*p^30*q^284+147400764*p^28*q^286+17042908* p^26*q^288+295786*p^24*q^290+153656*p^22*q^292+32*p^20*q^294+564*p^51*q^262+ 174438*p^49*q^264+9249936*p^47*q^266+367966242*p^45*q^268+9615881497*p^43*q^270 +133159253906*p^41*q^272+573565267664*p^39*q^274+682064975426*p^37*q^276+ 284661079574*p^35*q^278+51683241410*p^33*q^280+5795966096*p^31*q^282+571296888* p^29*q^284+59234458*p^27*q^286+2758918*p^25*q^288+290762*p^23*q^290+6440*p^21*q ^292+4088*p^50*q^262+1208642*p^48*q^264+53161374*p^46*q^266+1695837110*p^44*q^ 268+35269930414*p^42*q^270+304293385739*p^40*q^272+705168100108*p^38*q^274+ 501164321351*p^36*q^276+136924640950*p^34*q^278+18853880002*p^32*q^280+ 1970355652*p^30*q^282+158242472*p^28*q^284+20087024*p^26*q^286+303070*p^24*q^ 288+171048*p^22*q^290+532*p^20*q^292+24*p^51*q^260+57782*p^49*q^262+6233858*p^ 47*q^264+267970634*p^45*q^266+7251632808*p^43*q^268+108525316512*p^41*q^270+ 518873227706*p^39*q^272+673306377025*p^37*q^274+297922040920*p^35*q^276+ 56530891842*p^33*q^278+6424352834*p^31*q^280+638467416*p^29*q^282+59143250*p^27 *q^284+4057248*p^25*q^286+103034*p^23*q^288+24368*p^21*q^290+4199*p^50*q^260+ 847418*p^48*q^262+38279428*p^46*q^264+1262078866*p^44*q^266+27444721679*p^42*q^ 268+260157068762*p^40*q^270+664557141680*p^38*q^272+510123865448*p^36*q^274+ 146851261523*p^34*q^276+20907220678*p^32*q^278+2153569053*p^30*q^280+184083994* p^28*q^282+22825050*p^26*q^284+418916*p^24*q^286+165056*p^22*q^288+424*p^20*q^ 290+35740*p^49*q^260+4855035*p^47*q^262+196405372*p^45*q^264+5468265523*p^43*q^ 266+87084124850*p^41*q^268+466393639658*p^39*q^270+658411705862*p^37*q^272+ 312257396440*p^35*q^274+61811089230*p^33*q^276+7145920136*p^31*q^278+728840380* p^29*q^280+56342922*p^27*q^282+5595206*p^25*q^284+49874*p^23*q^286+41404*p^21*q ^288+16*p^19*q^290+1356*p^50*q^258+454264*p^48*q^260+25718978*p^46*q^262+ 923226237*p^44*q^264+21094939624*p^42*q^266+219275975402*p^40*q^268+ 625850947360*p^38*q^270+515670637676*p^36*q^272+157616336698*p^34*q^274+ 23071419980*p^32*q^276+2377129356*p^30*q^278+207001262*p^28*q^280+25541296*p^26 *q^282+688654*p^24*q^284+83032*p^22*q^286+1908*p^20*q^288+25988*p^49*q^258+ 3444986*p^47*q^260+141646119*p^45*q^262+4085148034*p^43*q^264+69708124354*p^41* q^266+414629400864*p^39*q^268+643224191625*p^37*q^270+324710576280*p^35*q^272+ 67413685713*p^33*q^274+7940979202*p^31*q^276+799885639*p^29*q^278+59032182*p^27 *q^280+6816352*p^25*q^282+45860*p^23*q^284+55560*p^21*q^286+24*p^19*q^288+96*p^ 50*q^256+233326*p^48*q^258+18350943*p^46*q^260+682309096*p^44*q^262+16187148530 *p^42*q^264+183928399052*p^40*q^266+581783640711*p^38*q^268+520592573076*p^36*q ^270+167888038831*p^34*q^272+25529082118*p^32*q^274+2616911655*p^30*q^276+ 245497642*p^28*q^278+24649406*p^26*q^280+1141692*p^24*q^282+13490*p^22*q^284+ 6168*p^20*q^286+15508*p^49*q^256+2379488*p^47*q^258+102717032*p^45*q^260+ 3053317082*p^43*q^262+55150860528*p^41*q^264+365717132517*p^39*q^266+ 622310322878*p^37*q^268+337388187897*p^35*q^270+73498833212*p^33*q^272+ 8846601407*p^31*q^274+885954602*p^29*q^276+62526298*p^27*q^278+8908176*p^25*q^ 280+85594*p^23*q^282+52528*p^21*q^284+44*p^19*q^286+24*p^50*q^254+169926*p^48*q ^256+13246404*p^46*q^258+496165943*p^44*q^260+12303769562*p^42*q^262+ 151751602617*p^40*q^264+539816169736*p^38*q^266+521178904499*p^36*q^268+ 179394469236*p^34*q^270+28112046262*p^32*q^272+2905887552*p^30*q^274+281801534* p^28*q^276+23722364*p^26*q^278+1555502*p^24*q^280+3860*p^22*q^282+10076*p^20*q^ 284+12*p^51*q^252+3345*p^49*q^254+1290248*p^47*q^256+70266888*p^45*q^258+ 2250922740*p^43*q^260+43356058752*p^41*q^262+319251636574*p^39*q^264+ 601526273360*p^37*q^266+348405207710*p^35*q^268+79757356262*p^33*q^270+ 9828972190*p^31*q^272+964105017*p^29*q^274+71467008*p^27*q^276+9996678*p^25*q^ 278+157108*p^23*q^280+10144*p^21*q^282+540*p^19*q^284+97474*p^48*q^254+9699132* p^46*q^256+367134218*p^44*q^258+9379186995*p^42*q^260+125007957396*p^40*q^262+ 494095086237*p^38*q^264+520624609502*p^36*q^266+189672773525*p^34*q^268+ 31023535474*p^32*q^270+3227540597*p^30*q^272+319968954*p^28*q^274+22081874*p^26 *q^276+2200252*p^24*q^278+7962*p^22*q^280+19772*p^20*q^282+1200*p^49*q^252+ 960095*p^47*q^254+51020706*p^45*q^256+1673232153*p^43*q^258+33722510084*p^41*q^ 260+275795704658*p^39*q^262+574689048706*p^37*q^264+359616497590*p^35*q^266+ 86665464266*p^33*q^268+10975742727*p^31*q^270+1061517900*p^29*q^272+86968537*p^ 27*q^274+10639462*p^25*q^276+277646*p^23*q^278+300*p^21*q^280+848*p^19*q^282+ 192*p^50*q^250+46352*p^48*q^252+6139806*p^46*q^254+261132533*p^44*q^256+ 7012832412*p^42*q^258+101308013156*p^40*q^260+451079715670*p^38*q^262+ 516724531309*p^36*q^264+201055737020*p^34*q^266+34071733455*p^32*q^268+ 3589289914*p^30*q^270+355760745*p^28*q^272+20913330*p^26*q^274+2977894*p^24*q^ 276+13516*p^22*q^278+7408*p^20*q^280+20*p^18*q^282+218*p^49*q^250+529286*p^47*q ^252+36046144*p^45*q^254+1226071692*p^43*q^256+26227361627*p^41*q^258+ 235692372056*p^39*q^260+548381048393*p^37*q^262+367573624826*p^35*q^264+ 93743570091*p^33*q^266+12143503702*p^31*q^268+1162570412*p^29*q^270+102078326*p ^27*q^272+10084904*p^25*q^274+389500*p^23*q^276+488*p^21*q^278+4116*p^19*q^280+ 17876*p^48*q^250+4320664*p^46*q^252+189247876*p^44*q^254+5291166410*p^42*q^256+ 81717751940*p^40*q^258+406068229820*p^38*q^260+511122915036*p^36*q^262+ 211663974428*p^34*q^264+37516434076*p^32*q^266+4038962425*p^30*q^268+393539454* p^28*q^270+23843866*p^26*q^272+3772696*p^24*q^274+35574*p^22*q^276+16*p^20*q^ 278+24*p^18*q^280+1308*p^49*q^248+334261*p^47*q^250+25559098*p^45*q^252+ 903973286*p^43*q^254+20123994422*p^41*q^256+199792277382*p^39*q^258+ 516685168598*p^37*q^260+376051544063*p^35*q^262+101022625528*p^33*q^264+ 13497776929*p^31*q^266+1272237100*p^29*q^268+120970342*p^27*q^270+8484670*p^25* q^272+614814*p^23*q^274+778*p^21*q^276+3380*p^19*q^278+5906*p^48*q^248+2801908* p^46*q^250+133415348*p^44*q^252+3927113626*p^42*q^254+65023373726*p^40*q^256+ 363397651480*p^38*q^258+501793812152*p^36*q^260+222826674458*p^34*q^262+ 41204394678*p^32*q^264+4521749492*p^30*q^266+432393018*p^28*q^268+27387698*p^26 *q^270+4357744*p^24*q^272+55232*p^22*q^274+16*p^20*q^276+408*p^18*q^278+372*p^ 49*q^246+166238*p^47*q^248+17116960*p^45*q^250+657136312*p^43*q^252+15388766492 *p^41*q^254+167274862402*p^39*q^256+486462027099*p^37*q^258+381120778706*p^35*q ^260+108714874295*p^33*q^262+14908758362*p^31*q^264+1414023983*p^29*q^266+ 137202984*p^27*q^268+7828572*p^25*q^270+888626*p^23*q^272+2604*p^21*q^274+5566* p^48*q^246+1698592*p^46*q^248+96377756*p^44*q^250+2921896877*p^42*q^252+ 51679024122*p^40*q^254+320890145558*p^38*q^256+490692939550*p^36*q^258+ 232688179761*p^34*q^260+45203885176*p^32*q^262+5052592958*p^30*q^264+463173910* p^28*q^266+34704298*p^26*q^268+3976768*p^24*q^270+87632*p^22*q^272+32*p^20*q^ 274+908*p^18*q^276+75422*p^47*q^246+12554822*p^45*q^248+478193613*p^43*q^250+ 11717194882*p^41*q^252+138669088982*p^39*q^254+451404881226*p^37*q^256+ 386389002755*p^35*q^258+116549199598*p^33*q^260+16574191321*p^31*q^262+ 1595259310*p^29*q^264+159848755*p^27*q^266+7075216*p^25*q^268+1387536*p^23*q^ 270+6798*p^21*q^272+12*p^17*q^276+5574*p^48*q^244+1089122*p^46*q^246+66154493*p ^44*q^248+2151462196*p^42*q^250+40331541215*p^40*q^252+281608690994*p^38*q^254+ 475971350983*p^36*q^256+243007131696*p^34*q^258+49447720501*p^32*q^260+ 5625681192*p^30*q^262+498374879*p^28*q^264+40833488*p^26*q^266+3771430*p^24*q^ 268+132796*p^22*q^270+72*p^20*q^272+30972*p^47*q^244+7690461*p^45*q^246+ 341758602*p^43*q^248+8826441011*p^41*q^250+113885770786*p^39*q^252+417943612383 *p^37*q^254+388072105782*p^35*q^256+124838001472*p^33*q^258+18289416568*p^31*q^ 260+1794056785*p^29*q^262+174260164*p^27*q^264+8275568*p^25*q^266+1467010*p^23* q^268+8300*p^21*q^270+132*p^17*q^274+304*p^48*q^242+575830*p^46*q^244+47892504* p^44*q^246+1595747364*p^42*q^248+31582630872*p^40*q^250+243543001889*p^38*q^252 +459798007798*p^36*q^254+251570523633*p^34*q^256+53909403426*p^32*q^258+ 6270886303*p^30*q^260+546031936*p^28*q^262+51069044*p^26*q^264+2806668*p^24*q^ 266+293444*p^22*q^268+580*p^20*q^270+38393*p^47*q^242+5394120*p^45*q^244+ 246196657*p^43*q^246+6626357290*p^41*q^248+92516648557*p^39*q^250+381100203356* p^37*q^252+389392186483*p^35*q^254+133025789062*p^33*q^256+20383956025*p^31*q^ 258+2027381934*p^29*q^260+187628806*p^27*q^262+10182622*p^25*q^264+1686890*p^23 *q^266+13248*p^21*q^268+316*p^48*q^240+275404*p^46*q^242+32363551*p^44*q^244+ 1154775354*p^42*q^246+24304676885*p^40*q^248+209096892416*p^38*q^250+ 440250180684*p^36*q^252+260729378816*p^34*q^254+58737593896*p^32*q^256+ 6944405896*p^30*q^258+604967355*p^28*q^260+60932872*p^26*q^262+2105552*p^24*q^ 264+382020*p^22*q^266+508*p^20*q^268+8*p^16*q^272+9278*p^47*q^240+3214636*p^45* q^242+172581842*p^43*q^244+4949953708*p^41*q^246+74462178192*p^39*q^248+ 346523813530*p^37*q^250+386900368300*p^35*q^252+141400992176*p^33*q^254+ 22423664936*p^31*q^256+2277190770*p^29*q^258+197199134*p^27*q^260+12691051*p^25 *q^262+1553762*p^23*q^264+37452*p^21*q^266+20*p^19*q^268+48*p^48*q^238+195377*p ^46*q^240+22396238*p^44*q^242+848861342*p^42*q^244+18740508908*p^40*q^246+ 177062153973*p^38*q^248+419336864472*p^36*q^250+267630919021*p^34*q^252+ 63875573920*p^32*q^254+7762320413*p^30*q^256+686015628*p^28*q^258+69545731*p^26 *q^260+2311640*p^24*q^262+501108*p^22*q^264+1004*p^20*q^266+4826*p^47*q^238+ 1919016*p^45*q^240+123743046*p^43*q^242+3676050690*p^41*q^244+59347796716*p^39* q^246+309887763228*p^37*q^248+383990463729*p^35*q^250+149637636482*p^33*q^252+ 24852474585*p^31*q^254+2543016064*p^29*q^256+210222523*p^27*q^258+17264660*p^25 *q^260+981768*p^23*q^262+71806*p^21*q^264+20*p^19*q^266+24*p^48*q^236+102458*p^ 46*q^238+14848145*p^44*q^240+605325704*p^42*q^242+14204606223*p^40*q^244+ 148776323188*p^38*q^246+395325460047*p^36*q^248+274972641346*p^34*q^250+ 69156708298*p^32*q^252+8635712200*p^30*q^254+781313958*p^28*q^256+75160536*p^26 *q^258+2469987*p^24*q^260+679328*p^22*q^262+2420*p^20*q^264+1502*p^47*q^236+ 1075309*p^45*q^238+85182762*p^43*q^240+2713718907*p^41*q^242+46931554728*p^39*q ^244+275883452413*p^37*q^246+377416372832*p^35*q^248+157871771588*p^33*q^250+ 27353112872*p^31*q^252+2832544139*p^29*q^254+224915172*p^27*q^256+21814889*p^25 *q^258+689276*p^23*q^260+88748*p^21*q^262+52*p^19*q^264+41446*p^46*q^236+ 9574860*p^44*q^238+437140311*p^42*q^240+10804919812*p^40*q^242+123253021312*p^ 38*q^244+370892857278*p^36*q^246+279453038643*p^34*q^248+74872564378*p^32*q^250 +9606493822*p^30*q^252+888081070*p^28*q^254+80035744*p^26*q^256+3652740*p^24*q^ 258+544330*p^22*q^260+9548*p^20*q^262+546*p^47*q^234+689034*p^45*q^236+60330342 *p^43*q^238+1998322684*p^41*q^240+36803323334*p^39*q^242+241651939188*p^37*q^ 244+369694923697*p^35*q^246+165824800966*p^33*q^248+30167878777*p^31*q^250+ 3170098328*p^29*q^252+252801441*p^27*q^254+26084758*p^25*q^256+457801*p^23*q^ 258+189182*p^21*q^260+56*p^19*q^262+24112*p^46*q^234+6016129*p^44*q^236+ 307702448*p^42*q^238+8083471689*p^40*q^240+101160428078*p^38*q^242+343482867946 *p^36*q^244+284532822490*p^34*q^246+80606441192*p^32*q^248+10725408168*p^30*q^ 250+1002700277*p^28*q^252+82198170*p^26*q^254+5215632*p^24*q^256+380600*p^22*q^ 258+9128*p^20*q^260+252*p^47*q^232+305580*p^45*q^234+39359238*p^43*q^236+ 1449328114*p^41*q^238+28550476916*p^39*q^240+210770939179*p^37*q^242+ 358896060996*p^35*q^244+173624072186*p^33*q^246+33080955532*p^31*q^248+ 3512996432*p^29*q^250+285286988*p^27*q^252+29171418*p^25*q^254+561520*p^23*q^ 256+211078*p^21*q^258+740*p^19*q^260+6838*p^46*q^232+3679226*p^44*q^234+ 222328212*p^42*q^236+6083373980*p^40*q^238+82319195109*p^38*q^240+316093763712* p^36*q^242+286183642150*p^34*q^244+86628690732*p^32*q^246+11929638218*p^30*q^ 248+1130062936*p^28*q^250+84917317*p^26*q^252+7254200*p^24*q^254+153476*p^22*q^ 256+30820*p^20*q^258+210228*p^45*q^232+27698314*p^43*q^234+1050487938*p^41*q^ 236+22020841810*p^39*q^238+180093983420*p^37*q^240+346953933434*p^35*q^242+ 180781890458*p^33*q^244+36420541514*p^31*q^246+3941804224*p^29*q^248+332099691* p^27*q^250+32724884*p^25*q^252+910060*p^23*q^254+204578*p^21*q^256+648*p^19*q^ 258+5032*p^46*q^230+1999303*p^44*q^232+150373320*p^42*q^234+4488512763*p^40*q^ 236+66121969688*p^38*q^238+287634471102*p^36*q^240+288183683010*p^34*q^242+ 92741002719*p^32*q^244+13272941932*p^30*q^246+1255391474*p^28*q^248+89763222*p^ 26*q^250+8663504*p^24*q^252+66068*p^22*q^254+51590*p^20*q^256+24*p^18*q^258+ 75932*p^45*q^230+17509008*p^43*q^232+756722438*p^41*q^234+16847200206*p^39*q^ 236+153606622591*p^37*q^238+331484184828*p^35*q^240+187735108824*p^33*q^242+ 39691748316*p^31*q^244+4387879228*p^29*q^246+380784778*p^27*q^248+32762171*p^25 *q^250+1492732*p^23*q^252+106466*p^21*q^254+2540*p^19*q^256+464*p^46*q^228+ 1265926*p^44*q^230+106165948*p^42*q^232+3328910024*p^40*q^234+52673502708*p^38* q^236+259222907280*p^36*q^238+286849437285*p^34*q^240+99035221598*p^32*q^242+ 14774317350*p^30*q^244+1409299960*p^28*q^246+100410534*p^26*q^248+11132498*p^24 *q^250+117884*p^22*q^252+68840*p^20*q^254+36*p^18*q^256+12*p^47*q^226+49556*p^ 45*q^228+10837956*p^43*q^230+541994722*p^41*q^232+12791207271*p^39*q^234+ 128523621662*p^37*q^236+315508279408*p^35*q^238+193699207520*p^33*q^240+ 43445583967*p^31*q^242+4921195042*p^29*q^244+432998896*p^27*q^246+33019434*p^25 *q^248+2017188*p^23*q^250+14336*p^21*q^252+7880*p^19*q^254+120*p^46*q^226+ 664974*p^44*q^228+73043318*p^42*q^230+2418056787*p^40*q^232+41546152548*p^38*q^ 234+230462767654*p^36*q^236+285342075626*p^34*q^238+105156651376*p^32*q^240+ 16413829840*p^30*q^242+1561479592*p^28*q^244+117184514*p^26*q^246+12462824*p^24 *q^248+209448*p^22*q^250+64596*p^20*q^252+68*p^18*q^254+24*p^47*q^224+15319*p^ 45*q^226+6488698*p^43*q^228+375808781*p^41*q^230+9638238578*p^39*q^232+ 106945409524*p^37*q^234+296737429682*p^35*q^236+199412737518*p^33*q^238+ 47240634906*p^31*q^240+5507424995*p^29*q^242+491084036*p^27*q^244+32079340*p^25 *q^246+2764116*p^23*q^248+11474*p^21*q^250+12658*p^19*q^252+192*p^46*q^224+ 345322*p^44*q^226+48287474*p^42*q^228+1781959656*p^40*q^230+32502329802*p^38*q^ 232+203509907094*p^36*q^234+280293518576*p^34*q^236+111411999316*p^32*q^238+ 18120274218*p^30*q^240+1738856028*p^28*q^242+135321012*p^26*q^244+13435242*p^24 *q^246+367330*p^22*q^248+12204*p^20*q^250+712*p^18*q^252+3302*p^45*q^224+ 4171719*p^43*q^226+269601378*p^41*q^228+7207708368*p^39*q^230+87504993036*p^37* q^232+276933470560*p^35*q^234+203639011686*p^33*q^236+51425344369*p^31*q^238+ 6220010996*p^29*q^240+554778868*p^27*q^242+34869396*p^25*q^244+3732565*p^23*q^ 246+18808*p^21*q^248+24312*p^19*q^250+504*p^46*q^222+191979*p^44*q^224+30630738 *p^42*q^226+1268678527*p^40*q^228+25132330268*p^38*q^230+176694846891*p^36*q^ 232+275350198768*p^34*q^234+117533529107*p^32*q^236+20084437366*p^30*q^238+ 1935789581*p^28*q^240+158537918*p^26*q^242+12889272*p^24*q^244+497380*p^22*q^ 246+732*p^20*q^248+1104*p^18*q^250+2234*p^45*q^222+2130534*p^43*q^224+184278219 *p^41*q^226+5343766794*p^39*q^228+71295108467*p^37*q^230+255621055958*p^35*q^ 232+207452950893*p^33*q^234+55437918142*p^31*q^236+6935833807*p^29*q^238+ 611732898*p^27*q^240+38023548*p^25*q^242+4581588*p^23*q^244+47998*p^21*q^246+ 9072*p^19*q^248+28*p^17*q^250+52278*p^44*q^222+20183420*p^42*q^224+916275304*p^ 40*q^226+19371835232*p^38*q^228+152261213352*p^36*q^230+266550242663*p^34*q^232 +123546388184*p^32*q^234+22182482838*p^30*q^236+2189919950*p^28*q^238+186119462 *p^26*q^240+12322788*p^24*q^242+793013*p^22*q^244+1148*p^20*q^246+5110*p^18*q^ 248+4674*p^45*q^220+1405426*p^43*q^222+126995014*p^41*q^224+3953108691*p^39*q^ 226+57018030010*p^37*q^228+233817885971*p^35*q^230+209537705284*p^33*q^232+ 59991292922*p^31*q^234+7770418442*p^29*q^236+674965015*p^27*q^238+44941266*p^25 *q^240+5264566*p^23*q^242+71320*p^21*q^244+24*p^19*q^246+34*p^17*q^248+28976*p^ 44*q^220+11814022*p^42*q^222+642842037*p^40*q^224+14677640092*p^38*q^226+ 129159738298*p^36*q^228+257683897774*p^34*q^230+129177838826*p^32*q^232+ 24464831416*p^30*q^234+2470092386*p^28*q^236+213260140*p^26*q^238+11803362*p^24 *q^240+1097020*p^22*q^242+3664*p^20*q^244+4156*p^18*q^246+794*p^45*q^218+565628 *p^43*q^220+83793442*p^41*q^222+2886797684*p^39*q^224+45514082020*p^37*q^226+ 211110395494*p^35*q^228+211147263338*p^33*q^230+64336969396*p^31*q^232+ 8660861897*p^29*q^234+744238302*p^27*q^236+53953120*p^25*q^238+5026454*p^23*q^ 240+115997*p^21*q^242+48*p^19*q^244+516*p^17*q^246+26806*p^44*q^218+7552074*p^ 42*q^220+457744658*p^40*q^222+11121669768*p^38*q^224+108664975982*p^36*q^226+ 245424081898*p^34*q^228+134513033014*p^32*q^230+26835715323*p^30*q^232+ 2799468978*p^28*q^234+238367486*p^26*q^236+11795190*p^24*q^238+1659102*p^22*q^ 240+8712*p^20*q^242+30*p^45*q^216+289918*p^43*q^218+55306820*p^41*q^220+ 2091619905*p^39*q^222+35702497636*p^37*q^224+188677644494*p^35*q^226+ 210626633784*p^33*q^228+69173838565*p^31*q^230+9708460850*p^29*q^232+835354087* p^27*q^234+66432672*p^25*q^236+5012536*p^23*q^238+173224*p^21*q^240+108*p^19*q^ 242+1122*p^17*q^244+14930*p^44*q^216+4187250*p^42*q^218+314696051*p^40*q^220+ 8317365238*p^38*q^222+89910279089*p^36*q^224+233121827436*p^34*q^226+ 139281735109*p^32*q^228+29447408518*p^30*q^230+3139749842*p^28*q^232+260088230* p^26*q^234+13469352*p^24*q^236+1766456*p^22*q^238+11370*p^20*q^240+16*p^16*q^ 244+48*p^45*q^214+157794*p^43*q^216+34739220*p^41*q^218+1497818416*p^39*q^220+ 27850876191*p^37*q^222+166467054276*p^35*q^224+209412371809*p^33*q^226+ 73660412584*p^31*q^228+10807350039*p^29*q^230+944960460*p^27*q^232+79368173*p^ 25*q^234+3983728*p^23*q^236+354604*p^21*q^238+748*p^19*q^240+4*p^46*q^212+1688* p^44*q^214+2119416*p^42*q^216+216614352*p^40*q^218+6202154225*p^38*q^220+ 73978692108*p^36*q^222+217816209622*p^34*q^224+143737408524*p^32*q^226+ 32164996273*p^30*q^228+3541252340*p^28*q^230+283772154*p^26*q^232+16669904*p^24 *q^234+2082956*p^22*q^236+18444*p^20*q^238+164*p^16*q^242+122982*p^43*q^214+ 22514652*p^41*q^216+1077486002*p^39*q^218+21441858062*p^37*q^220+145131067090*p ^35*q^222+205909760324*p^33*q^224+78481184539*p^31*q^226+12026418292*p^29*q^228 +1076221164*p^27*q^230+90837126*p^25*q^232+3541386*p^23*q^234+461784*p^21*q^236 +728*p^19*q^238+1384*p^44*q^212+1180832*p^42*q^214+143887840*p^40*q^216+ 4531324224*p^38*q^218+59749766752*p^36*q^220+202582489736*p^34*q^222+ 147314714828*p^32*q^224+35171510928*p^30*q^226+4004663688*p^28*q^228+312576230* p^26*q^230+22040898*p^24*q^232+1932052*p^22*q^234+46418*p^20*q^236+28*p^18*q^ 238+94*p^45*q^210+34856*p^43*q^212+12362597*p^41*q^214+750407466*p^39*q^216+ 16441888736*p^37*q^218+124916714968*p^35*q^220+201911810747*p^33*q^222+ 82876869640*p^31*q^224+13331874385*p^29*q^226+1204541382*p^27*q^228+99155690*p^ 25*q^230+3462508*p^23*q^232+604498*p^21*q^234+1440*p^19*q^236+10*p^15*q^240+84* p^44*q^210+701712*p^42*q^212+97005036*p^40*q^214+3341736622*p^38*q^216+ 48035247330*p^36*q^218+185267880509*p^34*q^220+150116477690*p^32*q^222+ 38177997579*p^30*q^224+4496934098*p^28*q^226+353778956*p^26*q^228+28008486*p^24 *q^230+1399990*p^22*q^232+88588*p^20*q^234+28*p^18*q^236+18584*p^43*q^210+ 7652696*p^41*q^212+526938256*p^39*q^214+12402722750*p^37*q^216+106147583254*p^ 35*q^218+195219788992*p^33*q^220+87713531009*p^31*q^222+14818700510*p^29*q^224+ 1388578167*p^27*q^226+108483710*p^25*q^228+4701736*p^23*q^230+815976*p^21*q^232 +3152*p^19*q^234+981*p^44*q^208+369308*p^42*q^210+59884750*p^40*q^212+ 2392986206*p^38*q^214+37927526569*p^36*q^216+168449358536*p^34*q^218+ 152082413278*p^32*q^220+41413482860*p^30*q^222+5041621496*p^28*q^224+389991578* p^26*q^226+32584306*p^24*q^228+921422*p^22*q^230+108130*p^20*q^232+72*p^18*q^ 234+4284*p^43*q^208+4005145*p^41*q^210+362477910*p^39*q^212+9331214726*p^37*q^ 214+89153828084*p^35*q^216+187953237914*p^33*q^218+91757525652*p^31*q^220+ 16384225920*p^29*q^222+1568037714*p^27*q^224+119140804*p^25*q^226+6750654*p^23* q^228+680032*p^21*q^230+11952*p^19*q^232+120*p^44*q^206+170211*p^42*q^208+ 38327846*p^40*q^210+1722350112*p^38*q^212+29832940524*p^36*q^214+150276987209*p ^34*q^216+153273054056*p^32*q^218+44658918641*p^30*q^220+5663828338*p^28*q^222+ 448908049*p^26*q^224+37008678*p^24*q^226+790746*p^22*q^228+226756*p^20*q^230+80 *p^18*q^232+6394*p^43*q^206+2487820*p^41*q^208+244251874*p^39*q^210+6929722896* p^37*q^212+73836596136*p^35*q^214+178478311798*p^33*q^216+95969528911*p^31*q^ 218+18133659140*p^29*q^220+1783739435*p^27*q^222+127566160*p^25*q^224+8984280*p ^23*q^226+478588*p^21*q^228+11636*p^19*q^230+24*p^44*q^204+72038*p^42*q^206+ 22560162*p^40*q^208+1217447420*p^38*q^210+23035802338*p^36*q^212+133208738506*p ^34*q^214+152978652054*p^32*q^216+48212883672*p^30*q^218+6325146074*p^28*q^220+ 513790064*p^26*q^222+42142364*p^24*q^224+1196880*p^22*q^226+254262*p^20*q^228+ 948*p^18*q^230+3020*p^43*q^204+1262951*p^41*q^206+159257576*p^39*q^208+ 5091890295*p^37*q^210+60443385984*p^35*q^212+168443425680*p^33*q^214+ 99570995574*p^31*q^216+19946988326*p^29*q^218+2015440438*p^27*q^220+139728284*p ^25*q^222+10734016*p^23*q^224+187510*p^21*q^226+37428*p^19*q^228+12*p^44*q^202+ 35588*p^42*q^204+13295648*p^40*q^206+859675158*p^38*q^208+17764087006*p^36*q^ 210+115981713348*p^34*q^212+151838750582*p^32*q^214+51481191192*p^30*q^216+ 7093991958*p^28*q^218+589343872*p^26*q^220+44909186*p^24*q^222+1888830*p^22*q^ 224+248516*p^20*q^226+872*p^18*q^228+466*p^43*q^202+678502*p^41*q^204+105541667 *p^39*q^206+3711912092*p^37*q^208+48853258750*p^35*q^210+156243804822*p^33*q^ 212+103124188166*p^31*q^214+21975158016*p^29*q^216+2278097505*p^27*q^218+ 158998918*p^25*q^220+13595540*p^23*q^222+161660*p^21*q^224+62020*p^19*q^226+32* p^17*q^228+12*p^44*q^200+34012*p^42*q^202+7808271*p^40*q^204+582914508*p^38*q^ 206+13417628239*p^36*q^208+99974344950*p^34*q^210+149391705750*p^32*q^212+ 55068319268*p^30*q^214+7939486452*p^28*q^216+678351882*p^26*q^218+46849900*p^24 *q^220+2480332*p^22*q^222+122324*p^20*q^224+3172*p^18*q^226+348*p^43*q^200+ 266924*p^41*q^202+63291844*p^39*q^204+2681921018*p^37*q^206+39016114726*p^35*q^ 208+144326171284*p^33*q^210+105581702482*p^31*q^212+24059310171*p^29*q^214+ 2546156350*p^27*q^216+179397958*p^25*q^218+15520432*p^23*q^220+275968*p^21*q^ 222+82668*p^19*q^224+48*p^17*q^226+6458*p^42*q^200+4430040*p^40*q^202+404013740 *p^38*q^204+10137144632*p^36*q^206+84831602156*p^34*q^208+145579736384*p^32*q^ 210+58401750205*p^30*q^212+8880113218*p^28*q^214+778498049*p^26*q^216+50191822* p^24*q^218+3413674*p^22*q^220+26088*p^20*q^222+9592*p^18*q^224+240*p^43*q^198+ 238552*p^41*q^200+40076382*p^39*q^202+1910258612*p^37*q^204+30756690036*p^35*q^ 206+130506511252*p^33*q^208+108128345010*p^31*q^210+26288599664*p^29*q^212+ 2885203341*p^27*q^214+211910476*p^25*q^216+17102266*p^23*q^218+450608*p^21*q^ 220+75960*p^19*q^222+92*p^17*q^224+4896*p^42*q^198+2171442*p^40*q^200+263127206 *p^38*q^202+7487647171*p^36*q^204+71206424226*p^34*q^206+140661551602*p^32*q^ 208+61894430596*p^30*q^210+9908139725*p^28*q^212+877116484*p^26*q^214+52758330* p^24*q^216+4447042*p^22*q^218+26060*p^20*q^220+15272*p^18*q^222+80956*p^41*q^ 198+23475470*p^39*q^200+1341953427*p^37*q^202+24025778990*p^35*q^204+ 117425474831*p^33*q^206+109225896716*p^31*q^208+28570694122*p^29*q^210+ 3243320088*p^27*q^212+246647789*p^25*q^214+17941478*p^23*q^216+630934*p^21*q^ 218+14896*p^19*q^220+884*p^17*q^222+2595*p^42*q^196+1347558*p^40*q^198+ 172782652*p^38*q^200+5556058740*p^36*q^202+58758125033*p^34*q^204+134459218986* p^32*q^206+65034942481*p^30*q^208+11058048880*p^28*q^210+988866774*p^26*q^212+ 60626960*p^24*q^214+5511976*p^22*q^216+59648*p^20*q^218+28836*p^18*q^220+6*p^43 *q^194+43430*p^41*q^196+13730023*p^39*q^198+935846498*p^37*q^200+18464943623*p^ 35*q^202+103553789678*p^33*q^204+110153532807*p^31*q^206+30967918888*p^29*q^208 +3677003745*p^27*q^210+289907146*p^25*q^212+17565287*p^23*q^214+955124*p^21*q^ 216+1622*p^19*q^218+1360*p^17*q^220+624*p^42*q^194+737570*p^40*q^196+108125326* p^38*q^198+4008412383*p^36*q^200+48034774352*p^34*q^202+126879642187*p^32*q^204 +68265276574*p^30*q^206+12274645902*p^28*q^208+1111879128*p^26*q^210+70030602*p ^24*q^212+6548694*p^22*q^214+90406*p^20*q^216+10736*p^18*q^218+36*p^16*q^220+12 *p^43*q^192+23783*p^41*q^194+7499754*p^39*q^196+635021628*p^37*q^198+ 14087866284*p^35*q^200+90598828192*p^33*q^202+109804420772*p^31*q^204+ 33451171389*p^29*q^206+4141282706*p^27*q^208+329775434*p^25*q^210+17829982*p^23 *q^212+1298432*p^21*q^214+4700*p^19*q^216+6104*p^17*q^218+144*p^42*q^192+312512 *p^40*q^194+67248162*p^38*q^196+2897364214*p^36*q^198+38648290118*p^34*q^200+ 118605952388*p^32*q^202+70793284799*p^30*q^204+13570774780*p^28*q^206+ 1260657761*p^26*q^208+85632724*p^24*q^210+6582146*p^22*q^212+145966*p^20*q^214+ 64*p^18*q^216+44*p^16*q^218+10828*p^41*q^192+4771779*p^39*q^194+429086314*p^37* q^196+10627974114*p^35*q^198+77639572574*p^33*q^200+108769195262*p^31*q^202+ 36023836298*p^29*q^204+4709876496*p^27*q^206+372371110*p^25*q^208+18695656*p^23 *q^210+1968670*p^21*q^212+10736*p^19*q^214+4932*p^17*q^216+228*p^42*q^190+ 198715*p^40*q^192+39655898*p^38*q^194+2037720751*p^36*q^196+30642145702*p^34*q^ 198+109189440898*p^32*q^200+73518836546*p^30*q^202+14958314819*p^28*q^204+ 1425111118*p^26*q^206+103460403*p^24*q^208+6602012*p^22*q^210+207026*p^20*q^212 +144*p^18*q^214+624*p^16*q^216+12*p^43*q^188+2880*p^41*q^190+2167678*p^39*q^192 +275318409*p^37*q^194+7898764416*p^35*q^196+66190667211*p^33*q^198+106510578926 *p^31*q^200+38558253683*p^29*q^202+5289501960*p^27*q^204+415833182*p^25*q^206+ 21339692*p^23*q^208+2174878*p^21*q^210+15056*p^19*q^212+24*p^42*q^188+94300*p^ 40*q^190+24565066*p^38*q^192+1446957736*p^36*q^194+24097085841*p^34*q^196+ 99330098854*p^32*q^198+75199785549*p^30*q^200+16458763180*p^28*q^202+1624916815 *p^26*q^204+121053614*p^24*q^206+5944258*p^22*q^208+419196*p^20*q^210+916*p^18* q^212+1336*p^16*q^214+2244*p^41*q^188+1371873*p^39*q^190+178056424*p^37*q^192+ 5786931626*p^35*q^194+55008237008*p^33*q^196+103434883934*p^31*q^198+ 41193532024*p^29*q^200+5964932682*p^27*q^202+473447640*p^25*q^204+27823426*p^23 *q^206+2538904*p^21*q^208+22834*p^19*q^210+20*p^15*q^214+216*p^42*q^186+43178*p ^40*q^188+13451452*p^38*q^190+979052911*p^36*q^192+18666824410*p^34*q^194+ 89090625057*p^32*q^196+77111529836*p^30*q^198+18012766132*p^28*q^200+1860982356 *p^26*q^202+135150504*p^24*q^204+5102852*p^22*q^206+551600*p^20*q^208+984*p^18* q^210+726*p^41*q^186+654746*p^39*q^188+110374680*p^37*q^190+4213508176*p^35*q^ 192+45476159087*p^33*q^194+98992999154*p^31*q^196+43553632860*p^29*q^198+ 6655386776*p^27*q^200+525533134*p^25*q^202+35269360*p^23*q^204+2517952*p^21*q^ 206+55584*p^19*q^208+36*p^17*q^210+196*p^15*q^212+18154*p^40*q^186+7851282*p^38 *q^188+664776492*p^36*q^190+14271041436*p^34*q^192+78908569906*p^32*q^194+ 77819686145*p^30*q^196+19790228904*p^28*q^198+2133726178*p^26*q^200+156119554*p ^24*q^202+6108938*p^22*q^204+720692*p^20*q^206+1856*p^18*q^208+1692*p^41*q^184+ 382572*p^39*q^186+68199250*p^37*q^188+3021862034*p^35*q^190+36814624786*p^33*q^ 192+93872573361*p^31*q^194+45939758238*p^29*q^196+7420320934*p^27*q^198+ 601357682*p^25*q^200+41637800*p^23*q^202+1783418*p^21*q^204+105488*p^19*q^206+ 36*p^17*q^208+9550*p^40*q^184+4268606*p^38*q^186+436042584*p^36*q^188+ 10726599350*p^34*q^190+68611899549*p^32*q^192+78393080254*p^30*q^194+ 21525129966*p^28*q^196+2439344420*p^26*q^198+172218782*p^24*q^200+8304088*p^22* q^202+985394*p^20*q^204+3884*p^18*q^206+12*p^14*q^210+372*p^41*q^182+162844*p^ 39*q^184+39606674*p^37*q^186+2119209772*p^35*q^188+29631636823*p^33*q^190+ 87759265646*p^31*q^192+48227613870*p^29*q^194+8252486246*p^27*q^196+690208692*p ^25*q^198+48663958*p^23*q^200+1379238*p^21*q^202+129296*p^19*q^204+92*p^17*q^ 206+6*p^42*q^180+8712*p^40*q^182+2357076*p^38*q^184+283495932*p^36*q^186+ 8036398250*p^34*q^188+58904296214*p^32*q^190+77677384196*p^30*q^192+23293667878 *p^28*q^194+2760243339*p^26*q^196+189535452*p^24*q^198+11087966*p^22*q^200+ 827484*p^20*q^202+14356*p^18*q^204+83186*p^39*q^182+24047052*p^37*q^184+ 1477635173*p^35*q^186+23256783846*p^33*q^188+81124797431*p^31*q^190+50189590760 *p^29*q^192+9255273068*p^27*q^194+807286074*p^25*q^196+57503754*p^23*q^198+ 1535146*p^21*q^200+266926*p^19*q^202+104*p^17*q^204+6120*p^40*q^180+1316106*p^ 38*q^182+176110655*p^36*q^184+5861506938*p^34*q^186+49741974699*p^32*q^188+ 76638342236*p^30*q^190+25186422373*p^28*q^192+3101097164*p^26*q^194+211928751*p ^24*q^196+13310228*p^22*q^198+566726*p^20*q^200+14220*p^18*q^202+102*p^41*q^178 +46100*p^39*q^180+12670596*p^37*q^182+999034624*p^35*q^184+18194635130*p^33*q^ 186+73718666308*p^31*q^188+52061499483*p^29*q^190+10199049446*p^27*q^192+ 934685661*p^25*q^194+61983098*p^23*q^196+2284948*p^21*q^198+304090*p^19*q^200+ 1156*p^17*q^202+312*p^40*q^178+604205*p^38*q^180+111674868*p^36*q^182+ 4271544027*p^34*q^184+41484033582*p^32*q^186+74348351556*p^30*q^188+26975502052 *p^28*q^190+3513504099*p^26*q^192+242877152*p^24*q^194+17279294*p^22*q^196+ 315338*p^20*q^198+44088*p^18*q^200+46236*p^39*q^178+8019608*p^37*q^180+ 666203228*p^35*q^182+13892242226*p^33*q^184+66052216315*p^31*q^186+53377692846* p^29*q^188+11365146483*p^27*q^190+1076643308*p^25*q^192+68445057*p^23*q^194+ 3049606*p^21*q^196+284086*p^19*q^198+1096*p^17*q^200+972*p^40*q^176+315742*p^38 *q^178+63708128*p^36*q^180+3026299874*p^34*q^182+33905281875*p^32*q^184+ 71828393410*p^30*q^186+28864350125*p^28*q^188+3950207162*p^26*q^190+285165926*p ^24*q^192+19823834*p^22*q^194+335800*p^20*q^196+73410*p^18*q^198+40*p^16*q^200+ 10130*p^39*q^176+4004424*p^37*q^178+436091716*p^35*q^180+10543226463*p^33*q^182 +58334420964*p^31*q^184+54361805525*p^29*q^186+12442404096*p^27*q^188+ 1223624695*p^25*q^190+72280534*p^23*q^192+4148500*p^21*q^194+151860*p^19*q^196+ 3804*p^17*q^198+156*p^40*q^174+239192*p^38*q^176+39148048*p^36*q^178+2126771350 *p^34*q^180+27442350020*p^32*q^182+67870719068*p^30*q^184+30693001012*p^28*q^ 186+4470222132*p^26*q^188+338360780*p^24*q^190+23199916*p^22*q^192+557372*p^20* q^194+95554*p^18*q^196+60*p^16*q^198+6948*p^39*q^174+2144822*p^37*q^176+ 276476226*p^35*q^178+7833182066*p^33*q^180+50641926244*p^31*q^182+54810566354*p ^29*q^184+13700855020*p^27*q^186+1391773666*p^25*q^188+81624422*p^23*q^190+ 5396602*p^21*q^192+43800*p^19*q^194+11344*p^17*q^196+118334*p^38*q^174+22679189 *p^36*q^176+1454593914*p^34*q^178+21734799751*p^32*q^180+63803605146*p^30*q^182 +32403782906*p^28*q^184+5029471706*p^26*q^186+396933814*p^24*q^188+24115084*p^ 22*q^190+764638*p^20*q^192+88164*p^18*q^194+116*p^16*q^196+12*p^41*q^170+2864*p ^39*q^172+1206789*p^37*q^174+168515006*p^35*q^176+5754429120*p^33*q^178+ 43295873770*p^31*q^180+54804882870*p^29*q^182+14919290380*p^27*q^184+1580371790 *p^25*q^186+94234754*p^23*q^188+6933974*p^21*q^190+73048*p^19*q^192+17862*p^17* q^194+45940*p^38*q^172+12379770*p^36*q^174+988946821*p^34*q^176+17063448154*p^ 32*q^178+58690063386*p^30*q^180+33998413268*p^28*q^182+5638364393*p^26*q^184+ 458381262*p^24*q^186+24895542*p^22*q^188+1132468*p^20*q^190+18030*p^18*q^192+ 1056*p^16*q^194+198*p^39*q^170+808898*p^37*q^172+106018632*p^35*q^174+ 4145720018*p^33*q^176+36383133611*p^31*q^178+53996491346*p^29*q^180+16267600217 *p^27*q^182+1810110618*p^25*q^184+115288469*p^23*q^186+8355676*p^21*q^188+ 112662*p^19*q^190+33360*p^17*q^192+192*p^40*q^168+29264*p^38*q^170+6828476*p^36 *q^172+638102096*p^34*q^174+13065896021*p^32*q^176+53474100134*p^30*q^178+ 35426757686*p^28*q^180+6331556618*p^26*q^182+522524348*p^24*q^184+26197726*p^22 *q^186+1560822*p^20*q^188+5688*p^18*q^190+1616*p^16*q^192+252*p^39*q^168+325448 *p^37*q^170+60782974*p^35*q^172+2943123551*p^33*q^174+30160246708*p^31*q^176+ 52857593720*p^29*q^178+17557163158*p^27*q^180+2044752871*p^25*q^182+138415308*p ^23*q^184+8399450*p^21*q^186+172478*p^19*q^188+12440*p^17*q^190+44*p^15*q^192+ 5340*p^38*q^168+4212218*p^36*q^170+417649020*p^34*q^172+9964838592*p^32*q^174+ 47606734073*p^30*q^176+36514859850*p^28*q^178+7024060832*p^26*q^180+602573464*p ^24*q^182+29348354*p^22*q^184+2419092*p^20*q^186+13510*p^18*q^188+7098*p^16*q^ 190+1296*p^39*q^166+209730*p^37*q^168+36096653*p^35*q^170+2039356758*p^33*q^172 +24437952699*p^31*q^174+50826716204*p^29*q^176+18995235828*p^27*q^178+ 2360287494*p^25*q^180+163270931*p^23*q^182+8935212*p^21*q^184+245702*p^19*q^186 +180*p^17*q^188+54*p^15*q^190+4464*p^38*q^166+2183135*p^36*q^168+256594960*p^34 *q^170+7378305174*p^32*q^172+42087002912*p^30*q^174+37376308242*p^28*q^176+ 7805476826*p^26*q^178+679093971*p^24*q^180+36385150*p^22*q^182+2620772*p^20*q^ 184+18064*p^18*q^186+5708*p^16*q^188+288*p^39*q^164+69529*p^37*q^166+20393262*p ^35*q^168+1391912517*p^33*q^170+19595056726*p^31*q^172+48309877198*p^29*q^174+ 20255747668*p^27*q^176+2672468102*p^25*q^178+189708916*p^23*q^180+7964551*p^21* q^182+503396*p^19*q^184+1128*p^17*q^186+732*p^15*q^188+5166*p^38*q^164+1216564* p^36*q^166+159935218*p^34*q^168+5420859576*p^32*q^170+36234343815*p^30*q^172+ 37919660750*p^28*q^174+8624101157*p^26*q^176+785265444*p^24*q^178+45723597*p^22 *q^180+3200584*p^20*q^182+27472*p^18*q^184+41004*p^37*q^164+12184429*p^35*q^166 +921414330*p^33*q^168+15402237954*p^31*q^170+45114422554*p^29*q^172+21570727755 *p^27*q^174+3040401512*p^25*q^176+217520591*p^23*q^178+8566642*p^21*q^180+ 651934*p^19*q^182+1212*p^17*q^184+1550*p^15*q^186+p^40*q^160+3852*p^38*q^162+ 591826*p^36*q^164+94140288*p^34*q^166+3882984186*p^32*q^168+30817643018*p^30*q^ 170+37972969796*p^28*q^172+9528962156*p^26*q^174+905227886*p^24*q^176+55169276* p^22*q^178+3020375*p^20*q^180+66188*p^18*q^182+44*p^16*q^184+24*p^14*q^186+ 23058*p^37*q^162+6486418*p^35*q^164+594795203*p^33*q^166+11885022102*p^31*q^168 +41736638149*p^29*q^170+22724324552*p^27*q^172+3424585434*p^25*q^174+246449652* p^23*q^176+10696103*p^21*q^178+867886*p^19*q^180+2272*p^17*q^182+252*p^38*q^160 +280472*p^36*q^162+56843922*p^34*q^164+2751749404*p^32*q^166+25726614007*p^30*q ^168+37550076084*p^28*q^170+10408354043*p^26*q^172+1047238520*p^24*q^174+ 65717730*p^22*q^176+2414428*p^20*q^178+124188*p^18*q^180+44*p^16*q^182+228*p^14 *q^184+16*p^39*q^158+22092*p^37*q^160+3725683*p^35*q^162+380312764*p^33*q^164+ 9002844556*p^31*q^166+37581729052*p^29*q^168+23869903331*p^27*q^170+3876333932* p^25*q^172+284214312*p^23*q^174+14059814*p^21*q^176+1164589*p^19*q^178+4664*p^ 17*q^180+228*p^38*q^158+168293*p^36*q^160+32499054*p^34*q^162+1870108197*p^32*q ^164+21107715598*p^30*q^166+36780517640*p^28*q^168+11386305936*p^26*q^170+ 1206880260*p^24*q^172+76324758*p^22*q^174+2309850*p^20*q^176+152552*p^18*q^178+ 112*p^16*q^180+6240*p^37*q^158+1728962*p^35*q^160+231608863*p^33*q^162+ 6732125232*p^31*q^164+33596127846*p^29*q^166+24679783384*p^27*q^168+4331311878* p^25*q^170+324613628*p^23*q^172+17292994*p^21*q^174+953920*p^19*q^176+16898*p^ 17*q^178+14*p^13*q^182+108*p^38*q^156+88128*p^36*q^158+19057850*p^34*q^160+ 1274972906*p^32*q^162+16946712883*p^30*q^164+35396791840*p^28*q^166+12313586263 *p^26*q^168+1395894324*p^24*q^170+87774000*p^22*q^172+2937914*p^20*q^174+314902 *p^18*q^176+128*p^16*q^178+3444*p^37*q^156+1117373*p^35*q^158+143106304*p^33*q^ 160+4890737166*p^31*q^162+29266485742*p^29*q^164+25429713774*p^27*q^166+ 4871086564*p^25*q^168+380137847*p^23*q^170+21833660*p^21*q^172+750634*p^19*q^ 174+16828*p^17*q^176+24*p^38*q^154+55922*p^36*q^156+9842164*p^34*q^158+ 821666407*p^32*q^160+13399437514*p^30*q^162+33578280932*p^28*q^164+13315390292* p^26*q^166+1592196569*p^24*q^168+97974498*p^22*q^170+3802440*p^20*q^172+342116* p^18*q^174+1364*p^16*q^176+706*p^37*q^154+463454*p^35*q^156+84904915*p^33*q^158 +3506886704*p^31*q^160+25232275331*p^29*q^162+25797901698*p^27*q^164+5404051867 *p^25*q^166+445091052*p^23*q^168+26118989*p^21*q^170+553944*p^19*q^172+51818*p^ 17*q^174+27300*p^36*q^154+5866391*p^34*q^156+532363614*p^32*q^158+10378936568*p ^30*q^160+31300269576*p^28*q^162+14195321871*p^26*q^164+1825145400*p^24*q^166+ 111782375*p^22*q^168+5131346*p^20*q^170+333628*p^18*q^172+1320*p^16*q^174+316*p ^37*q^152+306966*p^35*q^154+48928822*p^33*q^156+2439874210*p^31*q^158+ 21124408030*p^29*q^160+26009721186*p^27*q^162+6021804140*p^25*q^164+525433800*p ^23*q^166+30417138*p^21*q^168+690664*p^19*q^170+83552*p^17*q^172+48*p^15*q^174+ 9940*p^36*q^152+3044112*p^34*q^154+332353312*p^32*q^156+7872555958*p^30*q^158+ 28750996200*p^28*q^160+15083389920*p^26*q^162+2072818571*p^24*q^164+127879326*p ^22*q^166+6745700*p^20*q^168+189384*p^18*q^170+4484*p^16*q^172+124*p^37*q^150+ 166680*p^35*q^152+27283640*p^33*q^154+1655189010*p^31*q^156+17534098205*p^29*q^ 158+25671532100*p^27*q^160+6660883497*p^25*q^162+608747552*p^23*q^164+33682576* p^21*q^166+930440*p^19*q^168+109322*p^17*q^170+72*p^15*q^172+2096*p^36*q^150+ 1517079*p^34*q^152+204848326*p^32*q^154+5870678711*p^30*q^156+25888059144*p^28* q^158+15873048079*p^26*q^160+2344361254*p^24*q^162+153577220*p^22*q^164+8663522 *p^20*q^166+106090*p^18*q^168+13064*p^16*q^170+16*p^37*q^148+91239*p^35*q^150+ 16568066*p^33*q^152+1104865713*p^31*q^154+14115120468*p^29*q^156+25116991449*p^ 27*q^158+7293907002*p^25*q^160+715115383*p^23*q^162+36707872*p^21*q^164+1382997 *p^19*q^166+100828*p^17*q^168+140*p^15*q^170+2196*p^36*q^148+912490*p^34*q^150+ 118095642*p^32*q^152+4233599798*p^30*q^154+22856914109*p^28*q^156+16603361832*p ^26*q^158+2677909086*p^24*q^160+181860326*p^22*q^162+10391695*p^20*q^164+133240 *p^18*q^166+20452*p^16*q^168+20934*p^35*q^148+8047163*p^33*q^150+717587192*p^31 *q^152+11268709023*p^29*q^154+24154176594*p^27*q^156+7958317988*p^25*q^158+ 808889308*p^23*q^160+41206399*p^21*q^162+1916530*p^19*q^164+25770*p^17*q^166+ 1228*p^15*q^168+280*p^36*q^146+528346*p^34*q^148+72740804*p^32*q^150+3016872891 *p^30*q^152+19807179306*p^28*q^154+17006160218*p^26*q^156+3013155762*p^24*q^158 +221340677*p^22*q^160+11357810*p^20*q^162+211475*p^18*q^164+37932*p^16*q^166+ 17602*p^35*q^146+4742668*p^33*q^148+448538146*p^31*q^150+8683176958*p^29*q^152+ 22834834808*p^27*q^154+8678872450*p^25*q^156+947792615*p^23*q^158+48570336*p^21 *q^160+2827552*p^19*q^162+15566*p^17*q^164+1872*p^15*q^166+24*p^36*q^144+217008 *p^34*q^146+40102530*p^32*q^148+2078497072*p^30*q^150+16826314023*p^28*q^152+ 17424330188*p^26*q^154+3375253518*p^24*q^156+254795100*p^22*q^158+12015824*p^20 *q^160+301000*p^18*q^162+14284*p^16*q^164+52*p^14*q^166+4998*p^35*q^144+2544468 *p^33*q^146+276616612*p^31*q^148+6617244760*p^29*q^150+21170875754*p^27*q^152+ 9295668099*p^25*q^154+1084244016*p^23*q^156+60090592*p^21*q^158+3308604*p^19*q^ 160+22531*p^17*q^162+8092*p^15*q^164+102694*p^34*q^144+22788800*p^32*q^146+ 1407087555*p^30*q^148+13999745634*p^28*q^150+17437099721*p^26*q^152+3799664926* p^24*q^154+302163240*p^22*q^156+12639924*p^20*q^158+578464*p^18*q^160+1304*p^16 *q^162+64*p^14*q^164+814*p^35*q^142+1446456*p^33*q^144+168393997*p^31*q^146+ 4873607850*p^29*q^148+19298896629*p^27*q^150+9932451484*p^25*q^152+1243830338*p ^23*q^154+72771928*p^21*q^156+3868840*p^19*q^158+33736*p^17*q^160+6484*p^15*q^ 162+20*p^36*q^140+53734*p^34*q^142+12349208*p^32*q^144+911591830*p^30*q^146+ 11363289429*p^28*q^148+17333780508*p^26*q^150+4229673053*p^24*q^152+354213976*p ^22*q^154+14521652*p^20*q^156+780172*p^18*q^158+1518*p^16*q^160+840*p^14*q^162+ 224*p^35*q^140+629168*p^33*q^142+97385490*p^31*q^144+3535555381*p^29*q^146+ 17241217516*p^27*q^148+10490449086*p^25*q^150+1423446736*p^23*q^152+86256016*p^ 21*q^154+3944888*p^19*q^156+76538*p^17*q^158+52*p^15*q^160+10838*p^34*q^140+ 7081410*p^32*q^142+588382828*p^30*q^144+9059199084*p^28*q^146+16787226361*p^26* q^148+4675640888*p^24*q^150+407038871*p^22*q^152+18279294*p^20*q^154+1033382*p^ 18*q^156+2764*p^16*q^158+1764*p^14*q^160+316*p^35*q^138+362606*p^33*q^140+ 56852013*p^31*q^142+2475084494*p^29*q^144+15048225157*p^27*q^146+10988293948*p^ 25*q^148+1642492488*p^23*q^150+107684146*p^21*q^152+3708146*p^19*q^154+143458*p ^17*q^156+52*p^15*q^158+28*p^13*q^160+5904*p^34*q^138+3720250*p^32*q^140+ 360139048*p^30*q^142+6992375166*p^28*q^144+16167658310*p^26*q^146+5128787690*p^ 24*q^148+472703374*p^22*q^150+21462202*p^20*q^152+1337688*p^18*q^154+5474*p^16* q^156+112226*p^33*q^138+30985344*p^31*q^140+1695908402*p^29*q^142+12923257892*p ^27*q^144+11322732138*p^25*q^146+1869724030*p^23*q^148+123031059*p^21*q^150+ 4161746*p^19*q^152+184162*p^17*q^154+132*p^15*q^156+260*p^13*q^158+2316*p^34*q^ 136+1939816*p^32*q^138+223696768*p^30*q^140+5313625742*p^28*q^142+15075130433*p ^26*q^144+5602728574*p^24*q^146+548833942*p^22*q^148+28938658*p^20*q^150+ 1222560*p^18*q^152+19336*p^16*q^154+64234*p^33*q^136+18301434*p^31*q^138+ 1116670052*p^29*q^140+10765463782*p^27*q^142+11552037286*p^25*q^144+2126111644* p^23*q^146+145961256*p^21*q^148+4670735*p^19*q^150+351062*p^17*q^152+152*p^15*q ^154+564*p^34*q^134+868988*p^32*q^136+127029490*p^30*q^138+3905187298*p^28*q^ 140+13969048716*p^26*q^142+6062468116*p^24*q^144+645422330*p^22*q^146+34658542* p^20*q^148+1110884*p^18*q^150+20562*p^16*q^152+16*p^12*q^156+18520*p^33*q^134+ 9536650*p^31*q^136+728850402*p^29*q^138+8788042240*p^27*q^140+11578004786*p^25* q^142+2379574238*p^23*q^144+165170592*p^21*q^146+6333572*p^19*q^148+400074*p^17 *q^150+1572*p^15*q^152+68*p^34*q^132+433742*p^32*q^134+76006110*p^30*q^136+ 2793982310*p^28*q^138+12557999089*p^26*q^140+6488159218*p^24*q^142+759601166*p^ 22*q^144+42720110*p^20*q^146+976988*p^18*q^148+58192*p^16*q^150+7960*p^33*q^132 +5011085*p^31*q^134+453169400*p^29*q^136+6994580754*p^27*q^138+11375577406*p^25 *q^140+2685964164*p^23*q^142+194445176*p^21*q^144+8526112*p^19*q^146+402092*p^ 17*q^148+1600*p^15*q^150+20*p^34*q^130+184210*p^32*q^132+42781930*p^30*q^134+ 1934000554*p^28*q^136+11089728630*p^26*q^138+6910726382*p^24*q^140+874139550*p^ 22*q^142+48831704*p^20*q^144+1100938*p^18*q^146+94906*p^16*q^148+56*p^14*q^150+ 1796*p^33*q^130+2411550*p^31*q^132+274305071*p^29*q^134+5422520214*p^27*q^136+ 11067488432*p^25*q^138+2962549418*p^23*q^140+234285474*p^21*q^142+11086820*p^19 *q^144+279018*p^17*q^146+5124*p^15*q^148+59622*p^32*q^130+23530047*p^30*q^132+ 1316147928*p^28*q^134+9514429774*p^26*q^136+7194201662*p^24*q^138+1013242924*p^ 22*q^140+54308826*p^20*q^142+1685682*p^18*q^144+124736*p^16*q^146+84*p^14*q^148 +676*p^33*q^128+1337598*p^31*q^130+166875286*p^29*q^132+4062394524*p^27*q^134+ 10480005066*p^25*q^136+3308534668*p^23*q^138+280111008*p^21*q^140+14312856*p^19 *q^142+170658*p^17*q^144+14784*p^15*q^146+27370*p^32*q^128+12135944*p^30*q^130+ 842104407*p^28*q^132+8012515666*p^26*q^134+7433305327*p^24*q^136+1157551872*p^ 22*q^138+64460726*p^20*q^140+2278524*p^18*q^142+119388*p^16*q^144+164*p^14*q^ 146+54*p^33*q^126+432116*p^31*q^128+95126776*p^29*q^130+2992301064*p^27*q^132+ 9783590695*p^25*q^134+3617180826*p^23*q^136+330826165*p^21*q^138+15205640*p^19* q^140+250250*p^17*q^142+23158*p^15*q^144+9008*p^32*q^126+6923808*p^30*q^128+ 544511960*p^28*q^130+6516090306*p^26*q^132+7520021630*p^24*q^134+1314340516*p^ 22*q^136+78094992*p^20*q^138+3674476*p^18*q^140+38584*p^16*q^142+1400*p^14*q^ 144+234048*p^31*q^126+53539842*p^29*q^128+2092961512*p^27*q^130+8858811754*p^25 *q^132+3957286950*p^23*q^134+396681896*p^21*q^136+17747492*p^19*q^138+345780*p^ 17*q^140+42718*p^15*q^142+1806*p^32*q^124+3009146*p^30*q^126+331314812*p^28*q^ 128+5205786124*p^26*q^130+7539035114*p^24*q^132+1494133284*p^22*q^134+93365405* p^20*q^136+4097974*p^18*q^138+25926*p^16*q^140+2128*p^14*q^142+30*p^33*q^122+ 84226*p^31*q^124+29674998*p^29*q^126+1439658602*p^27*q^128+7873816677*p^25*q^ 130+4206107522*p^23*q^132+457536212*p^21*q^134+20035148*p^19*q^136+709286*p^17* q^138+17204*p^15*q^140+60*p^13*q^142+112*p^32*q^122+1420700*p^30*q^124+ 199343352*p^28*q^126+4001715458*p^26*q^128+7380044996*p^24*q^130+1705647131*p^ 22*q^132+117017472*p^20*q^134+5050324*p^18*q^136+38824*p^16*q^138+9086*p^14*q^ 140+27926*p^31*q^122+16114550*p^29*q^124+952095424*p^27*q^126+6782992216*p^25*q ^128+4469080971*p^23*q^130+527997446*p^21*q^132+23327357*p^19*q^134+948582*p^17 *q^136+1718*p^15*q^138+74*p^13*q^140+558*p^32*q^120+651550*p^30*q^122+113687822 *p^28*q^124+2981876250*p^26*q^126+7078548577*p^24*q^128+1918719518*p^22*q^130+ 142678381*p^20*q^132+5583564*p^18*q^134+89608*p^16*q^136+7320*p^14*q^138+5288*p ^31*q^120+7508508*p^29*q^122+611498134*p^27*q^124+5736436334*p^25*q^126+ 4671937532*p^23*q^128+611751960*p^21*q^130+28842564*p^19*q^132+1220788*p^17*q^ 134+3212*p^15*q^136+948*p^13*q^138+242616*p^30*q^120+66514096*p^28*q^122+ 2153646257*p^26*q^124+6625136366*p^24*q^126+2109525482*p^22*q^128+167901394*p^ 20*q^130+5758232*p^18*q^132+174512*p^16*q^134+60*p^14*q^136+4970*p^31*q^118+ 3923110*p^29*q^120+377389342*p^27*q^122+4653212988*p^25*q^124+4813035911*p^23*q ^126+726502470*p^21*q^128+38212283*p^19*q^130+1690636*p^17*q^132+6242*p^15*q^ 134+1978*p^13*q^136+30*p^32*q^116+85260*p^30*q^118+34790148*p^28*q^120+ 1494851662*p^26*q^122+6071087472*p^24*q^124+2337014312*p^22*q^126+193068464*p^ 20*q^128+6322184*p^18*q^130+206324*p^16*q^132+152*p^14*q^134+32*p^12*q^136+696* p^31*q^116+1583508*p^29*q^118+226968256*p^27*q^120+3705313236*p^25*q^122+ 4845669646*p^23*q^124+827043640*p^21*q^126+47650644*p^19*q^128+1626512*p^17*q^ 130+23216*p^15*q^132+34386*p^30*q^116+18811834*p^28*q^118+1012972864*p^26*q^120 +5397174610*p^24*q^122+2529977330*p^22*q^124+232851414*p^20*q^126+8308061*p^18* q^128+418814*p^16*q^130+176*p^14*q^132+292*p^12*q^134+458*p^31*q^114+745014*p^ 29*q^116+132619623*p^27*q^118+2799526590*p^25*q^120+4807521033*p^23*q^122+ 955909894*p^21*q^124+57050260*p^19*q^126+1580990*p^17*q^128+22894*p^15*q^130+ 12432*p^30*q^114+8713995*p^28*q^116+648202618*p^26*q^118+4698150325*p^24*q^120+ 2728901048*p^22*q^122+275026285*p^20*q^124+11234244*p^18*q^126+473457*p^16*q^ 128+1844*p^14*q^130+258472*p^29*q^114+74949854*p^27*q^116+2088110841*p^25*q^118 +4626044058*p^23*q^120+1078184238*p^21*q^122+66676354*p^19*q^124+1548784*p^17*q ^126+67396*p^15*q^128+18*p^11*q^132+3842*p^30*q^112+4330044*p^28*q^114+ 409172145*p^26*q^116+3922502254*p^24*q^118+2881911390*p^22*q^120+328035504*p^20 *q^122+15102428*p^18*q^124+504552*p^16*q^126+1832*p^14*q^128+113178*p^29*q^112+ 39636785*p^27*q^114+1469850076*p^25*q^116+4388146092*p^23*q^118+1220464048*p^21 *q^120+80351706*p^19*q^122+2090764*p^17*q^124+108078*p^15*q^126+64*p^13*q^128+ 1120*p^30*q^110+1870770*p^28*q^112+246878892*p^26*q^114+3188209692*p^24*q^116+ 3000438008*p^22*q^118+385265886*p^20*q^120+18101438*p^18*q^122+370802*p^16*q^ 124+5856*p^14*q^126+20*p^31*q^108+33324*p^29*q^110+19895912*p^27*q^112+ 1005120411*p^25*q^114+4031067136*p^23*q^116+1358595902*p^21*q^118+96349528*p^19 *q^120+3119827*p^17*q^122+143780*p^15*q^124+96*p^13*q^126+755246*p^28*q^110+ 145502352*p^26*q^112+2508920044*p^24*q^114+3041322172*p^22*q^116+451322372*p^20 *q^118+21630900*p^18*q^120+312918*p^16*q^122+16658*p^14*q^124+16900*p^29*q^108+ 10384488*p^27*q^110+657022214*p^25*q^112+3580597734*p^23*q^114+1503896784*p^21* q^116+117542812*p^19*q^118+4495874*p^17*q^120+142124*p^15*q^122+188*p^13*q^124+ 300*p^30*q^106+286730*p^28*q^108+77514316*p^26*q^110+1882574932*p^24*q^112+ 3067531944*p^22*q^114+525726645*p^20*q^116+25848378*p^18*q^118+457696*p^16*q^ 120+25944*p^14*q^122+1056*p^29*q^106+4327856*p^27*q^108+422109252*p^25*q^110+ 3110470986*p^23*q^112+1622565864*p^21*q^114+139831996*p^19*q^116+5312740*p^17*q ^118+52500*p^15*q^120+1572*p^13*q^122+131904*p^28*q^106+43673099*p^26*q^108+ 1360360904*p^24*q^110+2953619542*p^22*q^112+605431092*p^20*q^114+31621124*p^18* q^116+885100*p^16*q^118+48542*p^14*q^120+2216*p^29*q^104+1958602*p^27*q^106+ 250169296*p^25*q^108+2596677288*p^23*q^110+1751144212*p^21*q^112+173253779*p^19 *q^114+6711134*p^17*q^116+47982*p^15*q^118+2384*p^13*q^120+31004*p^28*q^104+ 21077256*p^26*q^106+947718246*p^24*q^108+2816596876*p^22*q^110+689701210*p^20*q ^112+36812384*p^18*q^114+1124765*p^16*q^116+19308*p^14*q^118+68*p^12*q^120+480* p^29*q^102+808598*p^27*q^104+146846532*p^25*q^106+2086297970*p^23*q^108+ 1833496623*p^21*q^110+203736844*p^19*q^112+8180410*p^17*q^114+116768*p^15*q^116 +10148*p^13*q^118+p^30*q^100+12296*p^28*q^102+10191258*p^26*q^104+632579394*p^ 24*q^106+2581821429*p^22*q^108+780732264*p^20*q^110+47904420*p^18*q^112+1526688 *p^16*q^114+3724*p^14*q^116+84*p^12*q^118+325399*p^27*q^102+81705044*p^25*q^104 +1602966788*p^23*q^106+1884823176*p^21*q^108+243439993*p^19*q^110+9015376*p^17* q^112+197563*p^15*q^114+8104*p^13*q^116+6962*p^28*q^100+4495250*p^26*q^102+ 397875378*p^24*q^104+2315314064*p^22*q^106+875162441*p^20*q^108+59088438*p^18*q ^110+2119610*p^16*q^112+8600*p^14*q^114+1056*p^12*q^116+15*p^29*q^98+86352*p^27 *q^100+42100944*p^25*q^102+1195161280*p^23*q^104+1890373503*p^21*q^106+ 283886978*p^19*q^108+10919008*p^17*q^110+252636*p^15*q^112+172*p^13*q^114+200*p ^28*q^98+2049210*p^26*q^100+246433902*p^24*q^102+1973207818*p^22*q^104+ 960935414*p^20*q^106+73026003*p^18*q^108+2338492*p^16*q^110+26332*p^14*q^112+ 2192*p^12*q^114+53118*p^27*q^98+21165350*p^25*q^100+834741969*p^23*q^102+ 1847979198*p^21*q^104+335204996*p^19*q^106+14581672*p^17*q^108+476772*p^15*q^ 110+272*p^13*q^112+36*p^11*q^114+355*p^28*q^96+703356*p^26*q^98+139506239*p^24* q^100+1642207618*p^22*q^102+1044748457*p^20*q^104+88390380*p^18*q^106+2383508*p ^16*q^108+27556*p^14*q^110+8024*p^27*q^96+9807626*p^25*q^98+569077428*p^23*q^ 100+1756829276*p^21*q^102+383365548*p^19*q^104+18417602*p^17*q^106+602574*p^15* q^108+2122*p^13*q^110+324*p^11*q^112+20*p^28*q^94+315156*p^26*q^96+78387214*p^ 24*q^98+1287856379*p^22*q^100+1098290458*p^20*q^102+107591664*p^18*q^104+ 2991732*p^16*q^106+74824*p^14*q^108+4258*p^27*q^94+4378696*p^25*q^96+360615561* p^23*q^98+1610991976*p^21*q^100+449060827*p^19*q^102+24100616*p^17*q^104+641094 *p^15*q^106+2124*p^13*q^108+98140*p^26*q^94+39157348*p^24*q^96+978265306*p^22*q ^98+1140548291*p^20*q^100+126541722*p^18*q^102+3762284*p^16*q^104+125418*p^14*q ^106+72*p^12*q^108+20*p^10*q^110+550*p^27*q^92+1761585*p^25*q^94+223354260*p^23 *q^96+1427047734*p^21*q^98+503082014*p^19*q^100+29793662*p^17*q^102+600412*p^15 *q^104+6534*p^13*q^106+31991*p^26*q^92+19763834*p^24*q^94+697766388*p^22*q^96+ 1147086248*p^20*q^98+152758406*p^18*q^100+5568790*p^16*q^102+170936*p^14*q^104+ 108*p^12*q^106+10*p^27*q^90+720914*p^25*q^92+126449737*p^23*q^94+1207805156*p^ 21*q^96+562397278*p^19*q^98+36948812*p^17*q^100+613555*p^15*q^102+18532*p^13*q^ 104+10836*p^26*q^90+8813297*p^24*q^92+478396702*p^22*q^94+1125512808*p^20*q^96+ 183801506*p^18*q^98+7080370*p^16*q^100+171044*p^14*q^102+212*p^12*q^104+30*p^27 *q^88+216562*p^25*q^90+68528274*p^23*q^92+979785621*p^21*q^94+609625670*p^19*q^ 96+43332639*p^17*q^98+1004082*p^15*q^100+30084*p^13*q^102+480*p^26*q^88+3929974 *p^24*q^90+311742676*p^22*q^92+1063682460*p^20*q^94+216589844*p^18*q^96+9621776 *p^16*q^98+96380*p^14*q^100+1744*p^12*q^102+104760*p^25*q^88+35244536*p^23*q^90 +745469474*p^21*q^92+650809739*p^19*q^94+54821252*p^17*q^96+1413811*p^15*q^98+ 53632*p^13*q^100+620*p^26*q^86+1380417*p^24*q^88+185207566*p^22*q^90+975449344* p^20*q^92+254022014*p^18*q^94+11387916*p^16*q^96+125564*p^14*q^98+2716*p^12*q^ 100+12582*p^25*q^86+16943186*p^23*q^88+558013634*p^21*q^90+672279358*p^19*q^92+ 66399770*p^17*q^94+2035964*p^15*q^96+25217*p^13*q^98+76*p^11*q^100+15*p^26*q^84 +636360*p^24*q^86+107671295*p^22*q^88+832427614*p^20*q^90+287452347*p^18*q^92+ 13976282*p^16*q^94+233600*p^14*q^96+11150*p^12*q^98+6560*p^25*q^84+7236948*p^23 *q^86+376830088*p^21*q^88+692625627*p^19*q^90+84711642*p^17*q^92+2886920*p^15*q ^94+9396*p^13*q^96+94*p^11*q^98+167584*p^24*q^84+57378004*p^22*q^86+700568422*p ^20*q^88+318536204*p^18*q^90+16774834*p^16*q^92+308812*p^14*q^94+9110*p^12*q^96 +865*p^25*q^82+3062156*p^23*q^84+246070012*p^21*q^86+663310508*p^19*q^88+ 102139398*p^17*q^90+3337312*p^15*q^92+29482*p^13*q^94+1164*p^11*q^96+49328*p^24 *q^82+28843105*p^22*q^84+549810216*p^20*q^86+354994349*p^18*q^88+22352900*p^16* q^90+614416*p^14*q^92+328*p^12*q^94+6*p^25*q^80+1233010*p^23*q^82+148161366*p^ 21*q^84+619617871*p^19*q^86+119459498*p^17*q^88+3880082*p^15*q^90+31744*p^13*q^ 92+2406*p^11*q^94+15060*p^24*q^80+12770574*p^22*q^82+406521229*p^20*q^84+ 384917992*p^18*q^86+29706456*p^16*q^88+772188*p^14*q^90+2298*p^12*q^92+40*p^10* q^94+60*p^25*q^78+336862*p^23*q^80+85085272*p^21*q^82+556610944*p^19*q^84+ 138111553*p^17*q^86+4635096*p^15*q^88+89900*p^13*q^90+684*p^24*q^78+5987204*p^ 22*q^80+281863144*p^20*q^82+392732336*p^18*q^84+36914740*p^16*q^86+938686*p^14* q^88+2396*p^12*q^90+356*p^10*q^92+137928*p^23*q^78+43481906*p^21*q^80+470603418 *p^19*q^82+164840766*p^17*q^84+6960739*p^15*q^86+152514*p^13*q^88+80*p^11*q^90+ 990*p^24*q^76+2031758*p^22*q^78+182784453*p^20*q^80+397747622*p^18*q^82+ 44136412*p^16*q^84+862398*p^14*q^86+7408*p^12*q^88+17028*p^23*q^76+21713035*p^ 21*q^78+378855668*p^19*q^80+184374352*p^17*q^82+9232074*p^15*q^84+214686*p^13*q ^86+120*p^11*q^88+22*p^9*q^90+835427*p^22*q^76+110351446*p^20*q^78+376667341*p^ 18*q^80+54377796*p^16*q^82+1274722*p^14*q^84+21936*p^12*q^86+8596*p^23*q^74+ 9357948*p^21*q^76+280310321*p^19*q^78+206822528*p^17*q^80+12186567*p^15*q^82+ 212696*p^13*q^84+236*p^11*q^86+15*p^24*q^72+201898*p^22*q^74+60866525*p^20*q^76 +352099214*p^18*q^78+65384048*p^16*q^80+1803874*p^14*q^82+34756*p^12*q^84+1140* p^23*q^72+3870467*p^21*q^74+198013034*p^19*q^76+215826532*p^17*q^78+15015836*p^ 15*q^80+183347*p^13*q^82+2000*p^11*q^84+58002*p^22*q^72+31382054*p^20*q^74+ 299012332*p^18*q^76+80720542*p^16*q^78+2723621*p^14*q^80+61480*p^12*q^82+210*p^ 23*q^70+1393100*p^21*q^72+126406252*p^19*q^74+226079516*p^17*q^76+18421696*p^15 *q^78+279150*p^13*q^80+3050*p^11*q^82+18104*p^22*q^70+14235724*p^20*q^72+ 245139004*p^18*q^74+92698872*p^16*q^76+3715746*p^14*q^78+31756*p^12*q^80+84*p^ 10*q^82+365190*p^21*q^70+75792998*p^19*q^72+222519305*p^17*q^74+23818506*p^15*q ^76+428018*p^13*q^78+12348*p^11*q^80+1664*p^22*q^68+6363436*p^20*q^70+184283764 *p^18*q^72+104339878*p^16*q^74+4513084*p^14*q^76+33676*p^12*q^78+104*p^10*q^80+ 144974*p^21*q^68+39957504*p^19*q^70+206485544*p^17*q^72+31010680*p^15*q^74+ 782016*p^13*q^76+9902*p^11*q^78+540*p^22*q^66+2006755*p^20*q^68+128939140*p^18* q^70+117694530*p^16*q^72+5583640*p^14*q^74+42610*p^12*q^76+1272*p^10*q^78+19615 *p^21*q^66+20626908*p^19*q^68+183574271*p^17*q^70+36131458*p^15*q^72+993830*p^ 13*q^74+2608*p^11*q^76+790790*p^20*q^66+80795355*p^18*q^68+121319002*p^16*q^70+ 8105900*p^14*q^72+118700*p^12*q^74+2620*p^10*q^76+7496*p^21*q^64+8356341*p^19*q ^66+150196334*p^17*q^68+46085052*p^15*q^70+1210580*p^13*q^72+2810*p^11*q^74+44* p^9*q^76+188145*p^20*q^64+47784542*p^18*q^66+124248251*p^16*q^68+9772358*p^14*q ^70+181694*p^12*q^72+88*p^10*q^74+270*p^21*q^62+3313502*p^19*q^64+112889524*p^ 17*q^66+51957066*p^15*q^68+1684606*p^13*q^70+10498*p^11*q^72+388*p^9*q^74+52760 *p^20*q^62+24674190*p^18*q^64+118696794*p^16*q^66+13598882*p^14*q^68+253228*p^ 12*q^70+132*p^10*q^72+42*p^21*q^60+1144929*p^19*q^62+77159342*p^17*q^64+ 59132272*p^15*q^66+2135586*p^13*q^68+24754*p^11*q^70+9192*p^20*q^60+10814778*p^ 18*q^62+106398759*p^16*q^64+17270036*p^14*q^66+328663*p^12*q^68+380*p^10*q^70+ 24*p^8*q^72+295068*p^19*q^60+49559924*p^17*q^62+64150456*p^15*q^64+2972922*p^13 *q^66+39566*p^11*q^68+570*p^20*q^58+4652646*p^18*q^60+85327280*p^16*q^62+ 20737982*p^14*q^64+389208*p^12*q^66+2206*p^10*q^68+93040*p^19*q^58+26109552*p^ 17*q^60+67829948*p^15*q^62+4595234*p^13*q^64+72255*p^11*q^66+105*p^20*q^56+ 1416052*p^18*q^58+65745430*p^16*q^60+24948942*p^14*q^62+468588*p^12*q^64+3408*p ^10*q^66+7806*p^19*q^56+13222039*p^17*q^58+64280522*p^15*q^60+5651664*p^13*q^62 +66000*p^11*q^64+92*p^9*q^66+516164*p^18*q^56+43375822*p^16*q^58+29461134*p^14* q^60+939088*p^12*q^62+13430*p^10*q^64+2175*p^19*q^54+5167706*p^17*q^56+57791556 *p^15*q^58+7516290*p^13*q^60+53020*p^11*q^62+114*p^9*q^64+89900*p^18*q^54+ 26165207*p^16*q^56+33543624*p^14*q^58+1243712*p^12*q^60+13456*p^10*q^62+1982296 *p^17*q^54+47172326*p^15*q^56+9070157*p^13*q^58+132458*p^11*q^60+1380*p^9*q^62+ 18727*p^18*q^52+13169848*p^16*q^54+34502172*p^14*q^56+1848668*p^12*q^58+4420*p^ 10*q^60+7*p^19*q^50+583778*p^17*q^52+34683051*p^15*q^54+12152872*p^13*q^56+ 220724*p^11*q^58+2930*p^9*q^60+1624*p^18*q^50+5664336*p^16*q^52+33740966*p^14*q ^54+2199577*p^12*q^56+10832*p^10*q^58+48*p^8*q^60+114614*p^17*q^50+22449210*p^ 15*q^52+14574050*p^13*q^54+359634*p^11*q^56+222*p^9*q^58+112*p^18*q^48+2283584* p^16*q^50+29722815*p^14*q^52+3048358*p^12*q^54+29618*p^10*q^56+420*p^8*q^58+ 23870*p^17*q^48+11642930*p^15*q^50+16494402*p^13*q^52+497912*p^11*q^54+360*p^9* q^56+569680*p^16*q^48+24839476*p^14*q^50+4412468*p^12*q^52+48700*p^10*q^54+1134 *p^17*q^46+5826454*p^15*q^48+16747248*p^13*q^50+537300*p^11*q^52+2557*p^9*q^54+ 26*p^7*q^56+155764*p^16*q^46+16186068*p^14*q^48+5796602*p^12*q^50+107802*p^10*q ^52+168*p^17*q^44+2034636*p^15*q^46+17419770*p^13*q^48+947728*p^11*q^50+3784*p^ 9*q^52+15876*p^16*q^44+9888228*p^14*q^46+6585703*p^12*q^48+79142*p^10*q^50+100* p^8*q^52+635450*p^15*q^44+14738216*p^13*q^46+1478728*p^11*q^48+17643*p^9*q^50+ 2184*p^16*q^42+4784996*p^14*q^44+7849628*p^12*q^46+139318*p^10*q^48+124*p^8*q^ 50+126658*p^15*q^42+10938024*p^13*q^44+1957156*p^11*q^46+15156*p^9*q^48+70*p^16 *q^40+1798824*p^14*q^42+8678266*p^12*q^44+265002*p^10*q^46+1622*p^8*q^48+15428* p^15*q^40+7166686*p^13*q^42+2383608*p^11*q^44+12514*p^9*q^46+555396*p^14*q^40+ 7832932*p^12*q^42+446194*p^10*q^44+3232*p^8*q^46+1820*p^15*q^38+3473506*p^13*q^ 40+3356714*p^11*q^42+32520*p^9*q^44+52*p^7*q^46+87248*p^14*q^38+6736091*p^12*q^ 40+547416*p^10*q^42+502*p^8*q^44+1476690*p^13*q^38+3645918*p^11*q^40+69362*p^9* q^42+452*p^7*q^44+15255*p^14*q^36+4336124*p^12*q^38+866932*p^10*q^40+2648*p^8*q ^42+354372*p^13*q^36+4028924*p^11*q^38+111404*p^9*q^40+504*p^14*q^34+2462946*p^ 12*q^36+1132824*p^10*q^38+6034*p^8*q^40+28*p^6*q^42+71409*p^13*q^34+3407646*p^ 11*q^36+153732*p^9*q^38+108*p^7*q^40+917780*p^12*q^34+1550675*p^10*q^36+18570*p ^8*q^38+7224*p^13*q^32+2534832*p^11*q^34+243110*p^9*q^36+220*p^7*q^38+225062*p^ 12*q^32+1735000*p^10*q^34+22367*p^8*q^36+36*p^13*q^30+1454352*p^11*q^32+381536* p^9*q^34+1796*p^7*q^36+41532*p^12*q^30+1586958*p^10*q^32+36050*p^8*q^34+485634* p^11*q^30+598626*p^9*q^32+3579*p^7*q^34+1404*p^12*q^28+1374924*p^10*q^30+57519* p^8*q^32+56*p^6*q^34+131490*p^11*q^28+619606*p^9*q^30+3326*p^7*q^32+680505*p^10 *q^28+142928*p^8*q^30+484*p^6*q^32+12132*p^11*q^26+767358*p^9*q^28+4946*p^7*q^ 30+254380*p^10*q^26+161476*p^8*q^28+148*p^6*q^30+90*p^11*q^24+588797*p^9*q^26+ 22206*p^7*q^28+30*p^5*q^30+47340*p^10*q^24+251722*p^8*q^26+204*p^6*q^28+305944* p^9*q^24+32156*p^7*q^26+1500*p^10*q^22+310324*p^8*q^24+1880*p^6*q^26+100650*p^9 *q^22+46554*p^7*q^24+p^10*q^20+225132*p^8*q^22+5340*p^6*q^24+8184*p^9*q^20+ 100387*p^7*q^22+60*p^5*q^24+124014*p^8*q^20+4204*p^6*q^22+55*p^9*q^18+100542*p^ 7*q^20+610*p^5*q^22+21384*p^8*q^18+19602*p^6*q^20+89739*p^7*q^18+122*p^5*q^20+ 495*p^8*q^16+27720*p^6*q^18+32*p^4*q^20+30602*p^7*q^16+2065*p^5*q^18+37612*p^6* q^16+1716*p^7*q^14+4950*p^5*q^16+25480*p^6*q^14+81*p^4*q^16+8670*p^5*q^14+3003* p^6*q^12+580*p^4*q^14+12600*p^5*q^12+960*p^4*q^12+3003*p^5*q^10+34*p^3*q^12+ 3632*p^4*q^10+34*p^3*q^10+1820*p^4*q^8+562*p^3*q^8+680*p^3*q^6+36*p^2*q^6+153*p ^2*q^4+19*p*q^2+1