#The list-of-lists-of lists whose (i+1,j+1,k+1) entry is the (i,j,k) SCALED moment o\ # f the Ekhad-Zeilberger tri-variate distribution # # for i,j,j <=, 16 #1/4*exp(-1/2*x^2-1/2*y^2-1/2*z^2-(x*y+x*z+y*z)*c)*2^(1/2)/Pi^(3/2)/(c+1)*(-c^2+ #1)*(1+2*c)^(1/2) # is EZmoms:= [[[1, 0, 1, 0, 3, 0, 15, 0, 105, 0, 945, 0, 10395, 0, 135135, 0, 2027025], [0, -c/(c+1), 0, -3*c/(c+1), 0, -15*c/(c+1), 0, -105*c/(c+1), 0, -945*c/(c+1), 0, -\ 10395*c/(c+1), 0, -135135*c/(c+1), 0, -2027025*c/(c+1), 0], [1, 0, (3*c^2+2*c+1 )/(c+1)^2, 0, 3*(5*c^2+2*c+1)/(c+1)^2, 0, 15*(7*c^2+2*c+1)/(c+1)^2, 0, 105*(9*c ^2+2*c+1)/(c+1)^2, 0, 945*(11*c^2+2*c+1)/(c+1)^2, 0, 10395*(13*c^2+2*c+1)/(c+1) ^2, 0, 135135*(15*c^2+2*c+1)/(c+1)^2, 0, 2027025*(17*c^2+2*c+1)/(c+1)^2], [0, -\ 3*c/(c+1), 0, -3*c*(5*c^2+6*c+3)/(c+1)^3, 0, -15*c*(7*c^2+6*c+3)/(c+1)^3, 0, -\ 315*c*(3*c^2+2*c+1)/(c+1)^3, 0, -945*c*(11*c^2+6*c+3)/(c+1)^3, 0, -10395*c*(13* c^2+6*c+3)/(c+1)^3, 0, -405405*c*(5*c^2+2*c+1)/(c+1)^3, 0, -2027025*c*(17*c^2+6 *c+3)/(c+1)^3, 0], [3, 0, 3*(5*c^2+2*c+1)/(c+1)^2, 0, 3*(35*c^4+60*c^3+42*c^2+ 12*c+3)/(c+1)^4, 0, 45*(21*c^4+28*c^3+18*c^2+4*c+1)/(c+1)^4, 0, 315*(33*c^4+36* c^3+22*c^2+4*c+1)/(c+1)^4, 0, 945*(143*c^4+132*c^3+78*c^2+12*c+3)/(c+1)^4, 0, 31185*(65*c^4+52*c^3+30*c^2+4*c+1)/(c+1)^4, 0, 405405*(85*c^4+60*c^3+34*c^2+4*c +1)/(c+1)^4, 0, 2027025*(323*c^4+204*c^3+114*c^2+12*c+3)/(c+1)^4], [0, -15*c/(c +1), 0, -15*c*(7*c^2+6*c+3)/(c+1)^3, 0, -15*c*(63*c^4+140*c^3+130*c^2+60*c+15)/ (c+1)^5, 0, -315*c*(33*c^4+60*c^3+50*c^2+20*c+5)/(c+1)^5, 0, -945*c*(143*c^4+ 220*c^3+170*c^2+60*c+15)/(c+1)^5, 0, -51975*c*(39*c^4+52*c^3+38*c^2+12*c+3)/(c+ 1)^5, 0, -2027025*c*(17*c^4+20*c^3+14*c^2+4*c+1)/(c+1)^5, 0, -2027025*c*(323*c^ 4+340*c^3+230*c^2+60*c+15)/(c+1)^5, 0], [15, 0, 15*(7*c^2+2*c+1)/(c+1)^2, 0, 45 *(21*c^4+28*c^3+18*c^2+4*c+1)/(c+1)^4, 0, 45*(231*c^6+630*c^5+735*c^4+460*c^3+ 165*c^2+30*c+5)/(c+1)^6, 0, 315*(429*c^6+990*c^5+1035*c^4+580*c^3+195*c^2+30*c+ 5)/(c+1)^6, 0, 14175*(143*c^6+286*c^5+275*c^4+140*c^3+45*c^2+6*c+1)/(c+1)^6, 0, 155925*(221*c^6+390*c^5+351*c^4+164*c^3+51*c^2+6*c+1)/(c+1)^6, 0, 2027025*(323* c^6+510*c^5+435*c^4+188*c^3+57*c^2+6*c+1)/(c+1)^6, 0, 6081075*(2261*c^6+3230*c^ 5+2635*c^4+1060*c^3+315*c^2+30*c+5)/(c+1)^6], [0, -105*c/(c+1), 0, -315*c*(3*c^ 2+2*c+1)/(c+1)^3, 0, -315*c*(33*c^4+60*c^3+50*c^2+20*c+5)/(c+1)^5, 0, -315*c*( 429*c^6+1386*c^5+1953*c^4+1540*c^3+735*c^2+210*c+35)/(c+1)^7, 0, -2835*c*(715*c ^6+2002*c^5+2541*c^4+1820*c^3+805*c^2+210*c+35)/(c+1)^7, 0, -155925*c*(221*c^6+ 546*c^5+637*c^4+420*c^3+175*c^2+42*c+7)/(c+1)^7, 0, -2027025*c*(323*c^6+714*c^5 +777*c^4+476*c^3+189*c^2+42*c+7)/(c+1)^7, 0, -42567525*c*(323*c^6+646*c^5+663*c ^4+380*c^3+145*c^2+30*c+5)/(c+1)^7, 0], [105, 0, 105*(9*c^2+2*c+1)/(c+1)^2, 0, 315*(33*c^4+36*c^3+22*c^2+4*c+1)/(c+1)^4, 0, 315*(429*c^6+990*c^5+1035*c^4+580* c^3+195*c^2+30*c+5)/(c+1)^6, 0, 315*(6435*c^8+24024*c^7+39732*c^6+37800*c^5+ 22610*c^4+8680*c^3+2100*c^2+280*c+35)/(c+1)^8, 0, 14175*(2431*c^8+8008*c^7+ 12012*c^6+10472*c^5+5810*c^4+2072*c^3+476*c^2+56*c+7)/(c+1)^8, 0, 155925*(4199* c^8+12376*c^7+17108*c^6+13832*c^5+7210*c^4+2408*c^3+532*c^2+56*c+7)/(c+1)^8, 0, 14189175*(969*c^8+2584*c^7+3332*c^6+2520*c^5+1246*c^4+392*c^3+84*c^2+8*c+1)/(c+ 1)^8, 0, 42567525*(7429*c^8+18088*c^7+21964*c^6+15640*c^5+7390*c^4+2200*c^3+460 *c^2+40*c+5)/(c+1)^8], [0, -945*c/(c+1), 0, -945*c*(11*c^2+6*c+3)/(c+1)^3, 0, -\ 945*c*(143*c^4+220*c^3+170*c^2+60*c+15)/(c+1)^5, 0, -2835*c*(715*c^6+2002*c^5+ 2541*c^4+1820*c^3+805*c^2+210*c+35)/(c+1)^7, 0, -2835*c*(12155*c^8+51480*c^7+ 97812*c^6+109032*c^5+78498*c^4+37800*c^3+12180*c^2+2520*c+315)/(c+1)^9, 0, -\ 155925*c*(4199*c^8+15912*c^7+27612*c^6+28392*c^5+19026*c^4+8568*c^3+2604*c^2+ 504*c+63)/(c+1)^9, 0, -6081075*c*(2261*c^8+7752*c^7+12444*c^6+11928*c^5+7518*c^ 4+3192*c^3+924*c^2+168*c+21)/(c+1)^9, 0, -42567525*c*(7429*c^8+23256*c^7+34884* c^6+31416*c^5+18774*c^4+7560*c^3+2100*c^2+360*c+45)/(c+1)^9, 0], [945, 0, 945*( 11*c^2+2*c+1)/(c+1)^2, 0, 945*(143*c^4+132*c^3+78*c^2+12*c+3)/(c+1)^4, 0, 14175 *(143*c^6+286*c^5+275*c^4+140*c^3+45*c^2+6*c+1)/(c+1)^6, 0, 14175*(2431*c^8+ 8008*c^7+12012*c^6+10472*c^5+5810*c^4+2072*c^3+476*c^2+56*c+7)/(c+1)^8, 0, 14175*(46189*c^10+218790*c^9+469755*c^8+600600*c^7+505890*c^6+293076*c^5+118230 *c^4+32760*c^3+5985*c^2+630*c+63)/(c+1)^10, 0, 467775*(29393*c^10+125970*c^9+ 248625*c^8+294840*c^7+232050*c^6+126252*c^5+48090*c^4+12600*c^3+2205*c^2+210*c+ 21)/(c+1)^10, 0, 42567525*(7429*c^10+29070*c^9+53295*c^8+59160*c^7+43890*c^6+ 22596*c^5+8190*c^4+2040*c^3+345*c^2+30*c+3)/(c+1)^10, 0, 212837625*(37145*c^10+ 133722*c^9+229653*c^8+240312*c^7+169218*c^6+82908*c^5+28770*c^4+6840*c^3+1125*c ^2+90*c+9)/(c+1)^10], [0, -10395*c/(c+1), 0, -10395*c*(13*c^2+6*c+3)/(c+1)^3, 0 , -51975*c*(39*c^4+52*c^3+38*c^2+12*c+3)/(c+1)^5, 0, -155925*c*(221*c^6+546*c^5 +637*c^4+420*c^3+175*c^2+42*c+7)/(c+1)^7, 0, -155925*c*(4199*c^8+15912*c^7+ 27612*c^6+28392*c^5+19026*c^4+8568*c^3+2604*c^2+504*c+63)/(c+1)^9, 0, -155925*c *(88179*c^10+461890*c^9+1106105*c^8+1595880*c^7+1540110*c^6+1043196*c^5+505890* c^4+175560*c^3+42735*c^2+6930*c+693)/(c+1)^11, 0, -6081075*c*(52003*c^10+248710 *c^9+550715*c^8+740520*c^7+670230*c^6+427812*c^5+196350*c^4+64680*c^3+15015*c^2 +2310*c+231)/(c+1)^11, 0, -212837625*c*(37145*c^10+163438*c^9+337535*c^8+426360 *c^7+364650*c^6+220836*c^5+96558*c^4+30360*c^3+6765*c^2+990*c+99)/(c+1)^11, 0], [10395, 0, 10395*(13*c^2+2*c+1)/(c+1)^2, 0, 31185*(65*c^4+52*c^3+30*c^2+4*c+1)/ (c+1)^4, 0, 155925*(221*c^6+390*c^5+351*c^4+164*c^3+51*c^2+6*c+1)/(c+1)^6, 0, 155925*(4199*c^8+12376*c^7+17108*c^6+13832*c^5+7210*c^4+2408*c^3+532*c^2+56*c+7 )/(c+1)^8, 0, 467775*(29393*c^10+125970*c^9+248625*c^8+294840*c^7+232050*c^6+ 126252*c^5+48090*c^4+12600*c^3+2205*c^2+210*c+21)/(c+1)^10, 0, 467775*(676039*c ^12+3879876*c^11+10253958*c^10+16482180*c^9+17934345*c^8+13909896*c^7+7882644*c ^6+3287592*c^5+1001385*c^4+217140*c^3+31878*c^2+2772*c+231)/(c+1)^12, 0, 42567525*(185725*c^12+980628*c^11+2408934*c^10+3624060*c^9+3711015*c^8+2720520* c^7+1462692*c^6+580536*c^5+168795*c^4+34980*c^3+4950*c^2+396*c+33)/(c+1)^12, 0, 638512875*(334305*c^12+1634380*c^11+3759074*c^10+5329500*c^9+5169615*c^8+ 3603864*c^7+1848924*c^6+701976*c^5+195855*c^4+38940*c^3+5346*c^2+396*c+33)/(c+1 )^12], [0, -135135*c/(c+1), 0, -405405*c*(5*c^2+2*c+1)/(c+1)^3, 0, -2027025*c*( 17*c^4+20*c^3+14*c^2+4*c+1)/(c+1)^5, 0, -2027025*c*(323*c^6+714*c^5+777*c^4+476 *c^3+189*c^2+42*c+7)/(c+1)^7, 0, -6081075*c*(2261*c^8+7752*c^7+12444*c^6+11928* c^5+7518*c^4+3192*c^3+924*c^2+168*c+21)/(c+1)^9, 0, -6081075*c*(52003*c^10+ 248710*c^9+550715*c^8+740520*c^7+670230*c^6+427812*c^5+196350*c^4+64680*c^3+ 15015*c^2+2310*c+231)/(c+1)^11, 0, -6081075*c*(1300075*c^12+8112468*c^11+ 23455614*c^10+41570100*c^9+50358165*c^8+44015400*c^7+28549092*c^6+13909896*c^5+ 5090085*c^4+1381380*c^3+270270*c^2+36036*c+3003)/(c+1)^13, 0, -638512875*c*( 334305*c^12+1931540*c^11+5215158*c^10+8683532*c^9+9930635*c^8+8226504*c^7+ 5074212*c^6+2357784*c^5+824967*c^4+214500*c^3+40326*c^2+5148*c+429)/(c+1)^13, 0 ], [135135, 0, 135135*(15*c^2+2*c+1)/(c+1)^2, 0, 405405*(85*c^4+60*c^3+34*c^2+4 *c+1)/(c+1)^4, 0, 2027025*(323*c^6+510*c^5+435*c^4+188*c^3+57*c^2+6*c+1)/(c+1)^ 6, 0, 14189175*(969*c^8+2584*c^7+3332*c^6+2520*c^5+1246*c^4+392*c^3+84*c^2+8*c+ 1)/(c+1)^8, 0, 42567525*(7429*c^10+29070*c^9+53295*c^8+59160*c^7+43890*c^6+ 22596*c^5+8190*c^4+2040*c^3+345*c^2+30*c+3)/(c+1)^10, 0, 42567525*(185725*c^12+ 980628*c^11+2408934*c^10+3624060*c^9+3711015*c^8+2720520*c^7+1462692*c^6+580536 *c^5+168795*c^4+34980*c^3+4950*c^2+396*c+33)/(c+1)^12, 0, 42567525*(5014575*c^ 14+33801950*c^13+106138123*c^12+205633428*c^11+274501227*c^10+266996730*c^9+ 195089895*c^8+108763512*c^7+46483437*c^6+15153138*c^5+3708705*c^4+660660*c^3+ 81081*c^2+6006*c+429)/(c+1)^14, 0, 638512875*(9694845*c^14+60843510*c^13+ 179150335*c^12+327202876*c^11+413530117*c^10+382167786*c^9+266128863*c^8+ 141772488*c^7+58032975*c^6+18156138*c^5+4273269*c^4+732732*c^3+87087*c^2+6006*c +429)/(c+1)^14], [0, -2027025*c/(c+1), 0, -2027025*c*(17*c^2+6*c+3)/(c+1)^3, 0, -2027025*c*(323*c^4+340*c^3+230*c^2+60*c+15)/(c+1)^5, 0, -42567525*c*(323*c^6+ 646*c^5+663*c^4+380*c^3+145*c^2+30*c+5)/(c+1)^7, 0, -42567525*c*(7429*c^8+23256 *c^7+34884*c^6+31416*c^5+18774*c^4+7560*c^3+2100*c^2+360*c+45)/(c+1)^9, 0, -\ 212837625*c*(37145*c^10+163438*c^9+337535*c^8+426360*c^7+364650*c^6+220836*c^5+ 96558*c^4+30360*c^3+6765*c^2+990*c+99)/(c+1)^11, 0, -638512875*c*(334305*c^12+ 1931540*c^11+5215158*c^10+8683532*c^9+9930635*c^8+8226504*c^7+5074212*c^6+ 2357784*c^5+824967*c^4+214500*c^3+40326*c^2+5148*c+429)/(c+1)^13, 0, -638512875 *c*(9694845*c^14+70204050*c^13+237913725*c^12+500268860*c^11+729681225*c^10+ 781795014*c^9+635499865*c^8+399021480*c^7+195089895*c^6+74264190*c^5+21828807*c ^4+4864860*c^3+795795*c^2+90090*c+6435)/(c+1)^15, 0], [2027025, 0, 2027025*(17* c^2+2*c+1)/(c+1)^2, 0, 2027025*(323*c^4+204*c^3+114*c^2+12*c+3)/(c+1)^4, 0, 6081075*(2261*c^6+3230*c^5+2635*c^4+1060*c^3+315*c^2+30*c+5)/(c+1)^6, 0, 42567525*(7429*c^8+18088*c^7+21964*c^6+15640*c^5+7390*c^4+2200*c^3+460*c^2+40*c +5)/(c+1)^8, 0, 212837625*(37145*c^10+133722*c^9+229653*c^8+240312*c^7+169218*c ^6+82908*c^5+28770*c^4+6840*c^3+1125*c^2+90*c+9)/(c+1)^10, 0, 638512875*(334305 *c^12+1634380*c^11+3759074*c^10+5329500*c^9+5169615*c^8+3603864*c^7+1848924*c^6 +701976*c^5+195855*c^4+38940*c^3+5346*c^2+396*c+33)/(c+1)^12, 0, 638512875*( 9694845*c^14+60843510*c^13+179150335*c^12+327202876*c^11+413530117*c^10+ 382167786*c^9+266128863*c^8+141772488*c^7+58032975*c^6+18156138*c^5+4273269*c^4 +732732*c^3+87087*c^2+6006*c+429)/(c+1)^14, 0, 638512875*(300540195*c^16+ 2326762800*c^15+8464602600*c^14+19199507600*c^13+30381192660*c^12+35555183664*c ^11+31827916120*c^10+22227313680*c^9+12237040530*c^8+5328145680*c^7+1828538712* c^6+489368880*c^5+100120020*c^4+15135120*c^3+1595880*c^2+102960*c+6435)/(c+1)^ 16]], [[0, -c/(c+1), 0, -3*c/(c+1), 0, -15*c/(c+1), 0, -105*c/(c+1), 0, -945*c/ (c+1), 0, -10395*c/(c+1), 0, -135135*c/(c+1), 0, -2027025*c/(c+1), 0], [-c/(c+1 ), 0, c*(c-1)/(c+1)^2, 0, 3*c*(3*c-1)/(c+1)^2, 0, 15*c*(5*c-1)/(c+1)^2, 0, 105* c*(7*c-1)/(c+1)^2, 0, 945*c*(9*c-1)/(c+1)^2, 0, 10395*c*(11*c-1)/(c+1)^2, 0, 135135*c*(13*c-1)/(c+1)^2, 0, 2027025*c*(15*c-1)/(c+1)^2], [0, c*(c-1)/(c+1)^2, 0, -3*c*(c^2+1)/(c+1)^3, 0, -15*c*(3*c^2+1)/(c+1)^3, 0, -105*c*(5*c^2+1)/(c+1)^ 3, 0, -945*c*(7*c^2+1)/(c+1)^3, 0, -10395*c*(9*c^2+1)/(c+1)^3, 0, -135135*c*(11 *c^2+1)/(c+1)^3, 0, -2027025*c*(13*c^2+1)/(c+1)^3, 0], [-3*c/(c+1), 0, -3*c*(c^ 2+1)/(c+1)^3, 0, 3*c*(5*c^3+3*c^2+3*c-3)/(c+1)^4, 0, 45*c*(7*c^3+3*c^2+3*c-1)/( c+1)^4, 0, 315*c*(15*c^3+5*c^2+5*c-1)/(c+1)^4, 0, 945*c*(77*c^3+21*c^2+21*c-3)/ (c+1)^4, 0, 31185*c*(39*c^3+9*c^2+9*c-1)/(c+1)^4, 0, 405405*c*(55*c^3+11*c^2+11 *c-1)/(c+1)^4, 0, 2027025*c*(221*c^3+39*c^2+39*c-3)/(c+1)^4], [0, 3*c*(3*c-1)/( c+1)^2, 0, 3*c*(5*c^3+3*c^2+3*c-3)/(c+1)^4, 0, -15*c*(7*c^4+8*c^3+6*c^2+3)/(c+1 )^5, 0, -315*c*(9*c^4+8*c^3+6*c^2+1)/(c+1)^5, 0, -945*c*(55*c^4+40*c^3+30*c^2+3 )/(c+1)^5, 0, -10395*c*(91*c^4+56*c^3+42*c^2+3)/(c+1)^5, 0, -405405*c*(45*c^4+ 24*c^3+18*c^2+1)/(c+1)^5, 0, -2027025*c*(187*c^4+88*c^3+66*c^2+3)/(c+1)^5, 0], [-15*c/(c+1), 0, -15*c*(3*c^2+1)/(c+1)^3, 0, -15*c*(7*c^4+8*c^3+6*c^2+3)/(c+1)^ 5, 0, 45*c*(21*c^5+35*c^4+30*c^3+10*c^2+5*c-5)/(c+1)^6, 0, 315*c*(99*c^5+135*c^ 4+110*c^3+30*c^2+15*c-5)/(c+1)^6, 0, 4725*c*(143*c^5+165*c^4+130*c^3+30*c^2+15* c-3)/(c+1)^6, 0, 155925*c*(91*c^5+91*c^4+70*c^3+14*c^2+7*c-1)/(c+1)^6, 0, 2027025*c*(153*c^5+135*c^4+102*c^3+18*c^2+9*c-1)/(c+1)^6, 0, 2027025*c*(3553*c^ 5+2805*c^4+2090*c^3+330*c^2+165*c-15)/(c+1)^6], [0, 15*c*(5*c-1)/(c+1)^2, 0, 45 *c*(7*c^3+3*c^2+3*c-1)/(c+1)^4, 0, 45*c*(21*c^5+35*c^4+30*c^3+10*c^2+5*c-5)/(c+ 1)^6, 0, -315*c*(33*c^6+72*c^5+75*c^4+40*c^3+15*c^2+5)/(c+1)^7, 0, -2835*c*(143 *c^6+264*c^5+255*c^4+120*c^3+45*c^2+5)/(c+1)^7, 0, -155925*c*(65*c^6+104*c^5+95 *c^4+40*c^3+15*c^2+1)/(c+1)^7, 0, -2027025*c*(119*c^6+168*c^5+147*c^4+56*c^3+21 *c^2+1)/(c+1)^7, 0, -6081075*c*(969*c^6+1224*c^5+1035*c^4+360*c^3+135*c^2+5)/(c +1)^7, 0], [-105*c/(c+1), 0, -105*c*(5*c^2+1)/(c+1)^3, 0, -315*c*(9*c^4+8*c^3+6 *c^2+1)/(c+1)^5, 0, -315*c*(33*c^6+72*c^5+75*c^4+40*c^3+15*c^2+5)/(c+1)^7, 0, 315*c*(429*c^7+1155*c^6+1449*c^5+1015*c^4+455*c^3+105*c^2+35*c-35)/(c+1)^8, 0, 14175*c*(429*c^7+1001*c^6+1155*c^5+735*c^4+315*c^3+63*c^2+21*c-7)/(c+1)^8, 0, 155925*c*(1105*c^7+2275*c^6+2457*c^5+1435*c^4+595*c^3+105*c^2+35*c-7)/(c+1)^8, 0, 14189175*c*(323*c^7+595*c^6+609*c^5+329*c^4+133*c^3+21*c^2+7*c-1)/(c+1)^8, 0 , 42567525*c*(2907*c^7+4845*c^6+4743*c^5+2385*c^4+945*c^3+135*c^2+45*c-5)/(c+1) ^8], [0, 105*c*(7*c-1)/(c+1)^2, 0, 315*c*(15*c^3+5*c^2+5*c-1)/(c+1)^4, 0, 315*c *(99*c^5+135*c^4+110*c^3+30*c^2+15*c-5)/(c+1)^6, 0, 315*c*(429*c^7+1155*c^6+ 1449*c^5+1015*c^4+455*c^3+105*c^2+35*c-35)/(c+1)^8, 0, -2835*c*(715*c^8+2288*c^ 7+3388*c^6+2912*c^5+1610*c^4+560*c^3+140*c^2+35)/(c+1)^9, 0, -155925*c*(663*c^8 +1872*c^7+2548*c^6+2016*c^5+1050*c^4+336*c^3+84*c^2+7)/(c+1)^9, 0, -2027025*c*( 1615*c^8+4080*c^7+5180*c^6+3808*c^5+1890*c^4+560*c^3+140*c^2+7)/(c+1)^9, 0, -\ 42567525*c*(2261*c^8+5168*c^7+6188*c^6+4256*c^5+2030*c^4+560*c^3+140*c^2+5)/(c+ 1)^9, 0], [-945*c/(c+1), 0, -945*c*(7*c^2+1)/(c+1)^3, 0, -945*c*(55*c^4+40*c^3+ 30*c^2+3)/(c+1)^5, 0, -2835*c*(143*c^6+264*c^5+255*c^4+120*c^3+45*c^2+5)/(c+1)^ 7, 0, -2835*c*(715*c^8+2288*c^7+3388*c^6+2912*c^5+1610*c^4+560*c^3+140*c^2+35)/ (c+1)^9, 0, 14175*c*(2431*c^9+9009*c^8+15444*c^7+15708*c^6+10458*c^5+4662*c^4+ 1428*c^3+252*c^2+63*c-63)/(c+1)^10, 0, 467775*c*(4199*c^9+13923*c^8+21996*c^7+ 20748*c^6+12978*c^5+5418*c^4+1596*c^3+252*c^2+63*c-21)/(c+1)^10, 0, 42567525*c* (1615*c^9+4845*c^8+7140*c^7+6300*c^6+3738*c^5+1470*c^4+420*c^3+60*c^2+15*c-3)/( c+1)^10, 0, 42567525*c*(52003*c^9+142443*c^8+197676*c^7+164220*c^6+93114*c^5+ 34650*c^4+9660*c^3+1260*c^2+315*c-45)/(c+1)^10], [0, 945*c*(9*c-1)/(c+1)^2, 0, 945*c*(77*c^3+21*c^2+21*c-3)/(c+1)^4, 0, 4725*c*(143*c^5+165*c^4+130*c^3+30*c^2 +15*c-3)/(c+1)^6, 0, 14175*c*(429*c^7+1001*c^6+1155*c^5+735*c^4+315*c^3+63*c^2+ 21*c-7)/(c+1)^8, 0, 14175*c*(2431*c^9+9009*c^8+15444*c^7+15708*c^6+10458*c^5+ 4662*c^4+1428*c^3+252*c^2+63*c-63)/(c+1)^10, 0, -155925*c*(4199*c^10+17680*c^9+ 34515*c^8+40560*c^7+31710*c^6+17136*c^5+6510*c^4+1680*c^3+315*c^2+63)/(c+1)^11, 0, -6081075*c*(6783*c^10+25840*c^9+46665*c^8+51120*c^7+37590*c^6+19152*c^5+6930 *c^4+1680*c^3+315*c^2+21)/(c+1)^11, 0, -212837625*c*(7429*c^10+25840*c^9+43605* c^8+44880*c^7+31290*c^6+15120*c^5+5250*c^4+1200*c^3+225*c^2+9)/(c+1)^11, 0], [-\ 10395*c/(c+1), 0, -10395*c*(9*c^2+1)/(c+1)^3, 0, -10395*c*(91*c^4+56*c^3+42*c^2 +3)/(c+1)^5, 0, -155925*c*(65*c^6+104*c^5+95*c^4+40*c^3+15*c^2+1)/(c+1)^7, 0, -\ 155925*c*(663*c^8+1872*c^7+2548*c^6+2016*c^5+1050*c^4+336*c^3+84*c^2+7)/(c+1)^9 , 0, -155925*c*(4199*c^10+17680*c^9+34515*c^8+40560*c^7+31710*c^6+17136*c^5+ 6510*c^4+1680*c^3+315*c^2+63)/(c+1)^11, 0, 467775*c*(29393*c^11+138567*c^10+ 303875*c^9+405405*c^8+364650*c^7+231462*c^6+105798*c^5+34650*c^4+8085*c^3+1155* c^2+231*c-231)/(c+1)^12, 0, 42567525*c*(22287*c^11+95931*c^10+195415*c^9+244035 *c^8+206910*c^7+124278*c^6+54054*c^5+16830*c^4+3795*c^3+495*c^2+99*c-33)/(c+1)^ 12, 0, 212837625*c*(185725*c^11+735471*c^10+1403435*c^9+1652145*c^8+1329570*c^7 +759990*c^6+316470*c^5+94050*c^4+20625*c^3+2475*c^2+495*c-99)/(c+1)^12], [0, 10395*c*(11*c-1)/(c+1)^2, 0, 31185*c*(39*c^3+9*c^2+9*c-1)/(c+1)^4, 0, 155925*c* (91*c^5+91*c^4+70*c^3+14*c^2+7*c-1)/(c+1)^6, 0, 155925*c*(1105*c^7+2275*c^6+ 2457*c^5+1435*c^4+595*c^3+105*c^2+35*c-7)/(c+1)^8, 0, 467775*c*(4199*c^9+13923* c^8+21996*c^7+20748*c^6+12978*c^5+5418*c^4+1596*c^3+252*c^2+63*c-21)/(c+1)^10, 0, 467775*c*(29393*c^11+138567*c^10+303875*c^9+405405*c^8+364650*c^7+231462*c^6 +105798*c^5+34650*c^4+8085*c^3+1155*c^2+231*c-231)/(c+1)^12, 0, -6081075*c*( 52003*c^12+271320*c^11+660858*c^10+987360*c^9+1005345*c^8+733392*c^7+392700*c^6 +155232*c^5+45045*c^4+9240*c^3+1386*c^2+231)/(c+1)^13, 0, -638512875*c*(37145*c ^12+178296*c^11+405042*c^10+568480*c^9+546975*c^8+378576*c^7+193116*c^6+72864*c ^5+20295*c^4+3960*c^3+594*c^2+33)/(c+1)^13, 0], [-135135*c/(c+1), 0, -135135*c* (11*c^2+1)/(c+1)^3, 0, -405405*c*(45*c^4+24*c^3+18*c^2+1)/(c+1)^5, 0, -2027025* c*(119*c^6+168*c^5+147*c^4+56*c^3+21*c^2+1)/(c+1)^7, 0, -2027025*c*(1615*c^8+ 4080*c^7+5180*c^6+3808*c^5+1890*c^4+560*c^3+140*c^2+7)/(c+1)^9, 0, -6081075*c*( 6783*c^10+25840*c^9+46665*c^8+51120*c^7+37590*c^6+19152*c^5+6930*c^4+1680*c^3+ 315*c^2+21)/(c+1)^11, 0, -6081075*c*(52003*c^12+271320*c^11+660858*c^10+987360* c^9+1005345*c^8+733392*c^7+392700*c^6+155232*c^5+45045*c^4+9240*c^3+1386*c^2+ 231)/(c+1)^13, 0, 42567525*c*(185725*c^13+1062347*c^12+2846922*c^11+4711278*c^ 10+5360355*c^9+4420845*c^8+2716428*c^7+1257828*c^6+438867*c^5+113685*c^4+21450* c^3+2574*c^2+429*c-429)/(c+1)^14, 0, 638512875*c*(1002915*c^13+5311735*c^12+ 13327626*c^11+20785050*c^10+22401665*c^9+17568837*c^8+10301148*c^7+4562844*c^6+ 1527669*c^5+379665*c^4+69498*c^3+7722*c^2+1287*c-429)/(c+1)^14], [0, 135135*c*( 13*c-1)/(c+1)^2, 0, 405405*c*(55*c^3+11*c^2+11*c-1)/(c+1)^4, 0, 2027025*c*(153* c^5+135*c^4+102*c^3+18*c^2+9*c-1)/(c+1)^6, 0, 14189175*c*(323*c^7+595*c^6+609*c ^5+329*c^4+133*c^3+21*c^2+7*c-1)/(c+1)^8, 0, 42567525*c*(1615*c^9+4845*c^8+7140 *c^7+6300*c^6+3738*c^5+1470*c^4+420*c^3+60*c^2+15*c-3)/(c+1)^10, 0, 42567525*c* (22287*c^11+95931*c^10+195415*c^9+244035*c^8+206910*c^7+124278*c^6+54054*c^5+ 16830*c^4+3795*c^3+495*c^2+99*c-33)/(c+1)^12, 0, 42567525*c*(185725*c^13+ 1062347*c^12+2846922*c^11+4711278*c^10+5360355*c^9+4420845*c^8+2716428*c^7+ 1257828*c^6+438867*c^5+113685*c^4+21450*c^3+2574*c^2+429*c-429)/(c+1)^14, 0, -\ 638512875*c*(334305*c^14+2080120*c^13+6084351*c^12+11051768*c^11+13902889*c^10+ 12796784*c^9+8879871*c^8+4715568*c^7+1924923*c^6+600600*c^5+141141*c^4+24024*c^ 3+3003*c^2+429)/(c+1)^15, 0], [-2027025*c/(c+1), 0, -2027025*c*(13*c^2+1)/(c+1) ^3, 0, -2027025*c*(187*c^4+88*c^3+66*c^2+3)/(c+1)^5, 0, -6081075*c*(969*c^6+ 1224*c^5+1035*c^4+360*c^3+135*c^2+5)/(c+1)^7, 0, -42567525*c*(2261*c^8+5168*c^7 +6188*c^6+4256*c^5+2030*c^4+560*c^3+140*c^2+5)/(c+1)^9, 0, -212837625*c*(7429*c ^10+25840*c^9+43605*c^8+44880*c^7+31290*c^6+15120*c^5+5250*c^4+1200*c^3+225*c^2 +9)/(c+1)^11, 0, -638512875*c*(37145*c^12+178296*c^11+405042*c^10+568480*c^9+ 546975*c^8+378576*c^7+193116*c^6+72864*c^5+20295*c^4+3960*c^3+594*c^2+33)/(c+1) ^13, 0, -638512875*c*(334305*c^14+2080120*c^13+6084351*c^12+11051768*c^11+ 13902889*c^10+12796784*c^9+8879871*c^8+4715568*c^7+1924923*c^6+600600*c^5+ 141141*c^4+24024*c^3+3003*c^2+429)/(c+1)^15, 0, 638512875*c*(9694845*c^15+ 65189475*c^14+206711925*c^13+409003595*c^12+563904705*c^11+573251679*c^10+ 443548105*c^9+265823415*c^8+124356375*c^7+45390345*c^6+12819807*c^5+2747745*c^4 +435435*c^3+45045*c^2+6435*c-6435)/(c+1)^16], [0, 2027025*c*(15*c-1)/(c+1)^2, 0 , 2027025*c*(221*c^3+39*c^2+39*c-3)/(c+1)^4, 0, 2027025*c*(3553*c^5+2805*c^4+ 2090*c^3+330*c^2+165*c-15)/(c+1)^6, 0, 42567525*c*(2907*c^7+4845*c^6+4743*c^5+ 2385*c^4+945*c^3+135*c^2+45*c-5)/(c+1)^8, 0, 42567525*c*(52003*c^9+142443*c^8+ 197676*c^7+164220*c^6+93114*c^5+34650*c^4+9660*c^3+1260*c^2+315*c-45)/(c+1)^10, 0, 212837625*c*(185725*c^11+735471*c^10+1403435*c^9+1652145*c^8+1329570*c^7+ 759990*c^6+316470*c^5+94050*c^4+20625*c^3+2475*c^2+495*c-99)/(c+1)^12, 0, 638512875*c*(1002915*c^13+5311735*c^12+13327626*c^11+20785050*c^10+22401665*c^9 +17568837*c^8+10301148*c^7+4562844*c^6+1527669*c^5+379665*c^4+69498*c^3+7722*c^ 2+1287*c-429)/(c+1)^14, 0, 638512875*c*(9694845*c^15+65189475*c^14+206711925*c^ 13+409003595*c^12+563904705*c^11+573251679*c^10+443548105*c^9+265823415*c^8+ 124356375*c^7+45390345*c^6+12819807*c^5+2747745*c^4+435435*c^3+45045*c^2+6435*c -6435)/(c+1)^16, 0]], [[1, 0, (3*c^2+2*c+1)/(c+1)^2, 0, 3*(5*c^2+2*c+1)/(c+1)^2 , 0, 15*(7*c^2+2*c+1)/(c+1)^2, 0, 105*(9*c^2+2*c+1)/(c+1)^2, 0, 945*(11*c^2+2*c +1)/(c+1)^2, 0, 10395*(13*c^2+2*c+1)/(c+1)^2, 0, 135135*(15*c^2+2*c+1)/(c+1)^2, 0, 2027025*(17*c^2+2*c+1)/(c+1)^2], [0, c*(c-1)/(c+1)^2, 0, -3*c*(c^2+1)/(c+1)^ 3, 0, -15*c*(3*c^2+1)/(c+1)^3, 0, -105*c*(5*c^2+1)/(c+1)^3, 0, -945*c*(7*c^2+1) /(c+1)^3, 0, -10395*c*(9*c^2+1)/(c+1)^3, 0, -135135*c*(11*c^2+1)/(c+1)^3, 0, -\ 2027025*c*(13*c^2+1)/(c+1)^3, 0], [(3*c^2+2*c+1)/(c+1)^2, 0, -(c^3-9*c^2-3*c-1) /(c+1)^3, 0, 3*(3*c^4+8*c^3+16*c^2+4*c+1)/(c+1)^4, 0, 15*(15*c^4+8*c^3+20*c^2+4 *c+1)/(c+1)^4, 0, 105*(35*c^4+8*c^3+24*c^2+4*c+1)/(c+1)^4, 0, 945*(63*c^4+8*c^3 +28*c^2+4*c+1)/(c+1)^4, 0, 10395*(99*c^4+8*c^3+32*c^2+4*c+1)/(c+1)^4, 0, 135135 *(143*c^4+8*c^3+36*c^2+4*c+1)/(c+1)^4, 0, 2027025*(195*c^4+8*c^3+40*c^2+4*c+1)/ (c+1)^4], [0, -3*c*(c^2+1)/(c+1)^3, 0, 3*c*(c^3-11*c^2-3*c-3)/(c+1)^4, 0, -15*c *(3*c^4+14*c^3+22*c^2+6*c+3)/(c+1)^5, 0, -315*c*(5*c^4+6*c^3+10*c^2+2*c+1)/(c+1 )^5, 0, -945*c*(35*c^4+22*c^3+38*c^2+6*c+3)/(c+1)^5, 0, -10395*c*(63*c^4+26*c^3 +46*c^2+6*c+3)/(c+1)^5, 0, -405405*c*(33*c^4+10*c^3+18*c^2+2*c+1)/(c+1)^5, 0, -\ 2027025*c*(143*c^4+34*c^3+62*c^2+6*c+3)/(c+1)^5, 0], [3*(5*c^2+2*c+1)/(c+1)^2, 0, 3*(3*c^4+8*c^3+16*c^2+4*c+1)/(c+1)^4, 0, -3*(5*c^5-71*c^4-78*c^3-78*c^2-15*c -3)/(c+1)^5, 0, 45*(7*c^6+46*c^5+83*c^4+60*c^3+37*c^2+6*c+1)/(c+1)^6, 0, 315*( 45*c^6+86*c^5+135*c^4+68*c^3+43*c^2+6*c+1)/(c+1)^6, 0, 945*(385*c^6+426*c^5+617 *c^4+228*c^3+147*c^2+18*c+3)/(c+1)^6, 0, 31185*(273*c^6+214*c^5+295*c^4+84*c^3+ 55*c^2+6*c+1)/(c+1)^6, 0, 405405*(495*c^6+302*c^5+403*c^4+92*c^3+61*c^2+6*c+1)/ (c+1)^6, 0, 2027025*(2431*c^6+1218*c^5+1589*c^4+300*c^3+201*c^2+18*c+3)/(c+1)^6 ], [0, -15*c*(3*c^2+1)/(c+1)^3, 0, -15*c*(3*c^4+14*c^3+22*c^2+6*c+3)/(c+1)^5, 0 , 15*c*(7*c^5-123*c^4-210*c^3-190*c^2-45*c-15)/(c+1)^6, 0, -315*c*(9*c^6+76*c^5 +163*c^4+160*c^3+95*c^2+20*c+5)/(c+1)^7, 0, -945*c*(165*c^6+436*c^5+733*c^4+560 *c^3+335*c^2+60*c+15)/(c+1)^7, 0, -51975*c*(91*c^6+148*c^5+213*c^4+128*c^3+77*c ^2+12*c+3)/(c+1)^7, 0, -2027025*c*(63*c^6+76*c^5+99*c^4+48*c^3+29*c^2+4*c+1)/(c +1)^7, 0, -2027025*c*(1683*c^6+1636*c^5+1993*c^4+800*c^3+485*c^2+60*c+15)/(c+1) ^7, 0], [15*(7*c^2+2*c+1)/(c+1)^2, 0, 15*(15*c^4+8*c^3+20*c^2+4*c+1)/(c+1)^4, 0 , 45*(7*c^6+46*c^5+83*c^4+60*c^3+37*c^2+6*c+1)/(c+1)^6, 0, -45*(21*c^7-441*c^6-\ 1005*c^5-1075*c^4-565*c^3-255*c^2-35*c-5)/(c+1)^7, 0, 315*(99*c^8+1020*c^7+2574 *c^6+3120*c^5+2240*c^4+940*c^3+330*c^2+40*c+5)/(c+1)^8, 0, 14175*(143*c^8+484*c ^7+910*c^6+896*c^5+600*c^4+212*c^3+74*c^2+8*c+1)/(c+1)^8, 0, 155925*(455*c^8+ 988*c^7+1526*c^6+1232*c^5+784*c^4+236*c^3+82*c^2+8*c+1)/(c+1)^8, 0, 2027025*( 1071*c^8+1780*c^7+2414*c^6+1632*c^5+1000*c^4+260*c^3+90*c^2+8*c+1)/(c+1)^8, 0, 6081075*(10659*c^8+14620*c^7+18126*c^6+10480*c^5+6240*c^4+1420*c^3+490*c^2+40*c +5)/(c+1)^8], [0, -105*c*(5*c^2+1)/(c+1)^3, 0, -315*c*(5*c^4+6*c^3+10*c^2+2*c+1 )/(c+1)^5, 0, -315*c*(9*c^6+76*c^5+163*c^4+160*c^3+95*c^2+20*c+5)/(c+1)^7, 0, 315*c*(33*c^7-807*c^6-2289*c^5-2933*c^4-2065*c^3-945*c^2-175*c-35)/(c+1)^8, 0, -2835*c*(143*c^8+1738*c^7+5076*c^6+7294*c^5+6286*c^4+3430*c^3+1260*c^2+210*c+35 )/(c+1)^9, 0, -155925*c*(195*c^8+806*c^7+1712*c^6+2030*c^5+1582*c^4+770*c^3+280 *c^2+42*c+7)/(c+1)^9, 0, -2027025*c*(595*c^8+1626*c^7+2780*c^6+2758*c^5+1974*c^ 4+854*c^3+308*c^2+42*c+7)/(c+1)^9, 0, -42567525*c*(969*c^8+2074*c^7+3064*c^6+ 2602*c^5+1738*c^4+670*c^3+240*c^2+30*c+5)/(c+1)^9, 0], [105*(9*c^2+2*c+1)/(c+1) ^2, 0, 105*(35*c^4+8*c^3+24*c^2+4*c+1)/(c+1)^4, 0, 315*(45*c^6+86*c^5+135*c^4+ 68*c^3+43*c^2+6*c+1)/(c+1)^6, 0, 315*(99*c^8+1020*c^7+2574*c^6+3120*c^5+2240*c^ 4+940*c^3+330*c^2+40*c+5)/(c+1)^8, 0, -315*(429*c^9-11979*c^8-40572*c^7-61292*c ^6-53130*c^5-29610*c^4-10220*c^3-2940*c^2-315*c-35)/(c+1)^9, 0, 14175*(429*c^10 +6006*c^9+19987*c^8+33208*c^7+33586*c^6+22260*c^5+10038*c^4+2968*c^3+721*c^2+70 *c+7)/(c+1)^10, 0, 155925*(3315*c^10+16198*c^9+38779*c^8+53480*c^7+48342*c^6+ 29092*c^5+12446*c^4+3304*c^3+791*c^2+70*c+7)/(c+1)^10, 0, 14189175*(1615*c^10+ 5338*c^9+10197*c^8+11880*c^7+9702*c^6+5292*c^5+2170*c^4+520*c^3+123*c^2+10*c+1) /(c+1)^10, 0, 42567525*(20349*c^10+53618*c^9+87873*c^8+88728*c^7+66474*c^6+ 32940*c^5+13050*c^4+2840*c^3+665*c^2+50*c+5)/(c+1)^10], [0, -945*c*(7*c^2+1)/(c +1)^3, 0, -945*c*(35*c^4+22*c^3+38*c^2+6*c+3)/(c+1)^5, 0, -945*c*(165*c^6+436*c ^5+733*c^4+560*c^3+335*c^2+60*c+15)/(c+1)^7, 0, -2835*c*(143*c^8+1738*c^7+5076* c^6+7294*c^5+6286*c^4+3430*c^3+1260*c^2+210*c+35)/(c+1)^9, 0, 2835*c*(715*c^9-\ 22451*c^8-88308*c^7-154428*c^6-158550*c^5-106218*c^4-47460*c^3-14700*c^2-2205*c -315)/(c+1)^10, 0, -155925*c*(663*c^10+10504*c^9+39299*c^8+74160*c^7+86286*c^6+ 67200*c^5+36414*c^4+13776*c^3+3675*c^2+504*c+63)/(c+1)^11, 0, -6081075*c*(1615* c^10+9112*c^9+24425*c^8+38352*c^7+39702*c^6+28224*c^5+14322*c^4+5040*c^3+1323*c ^2+168*c+21)/(c+1)^11, 0, -42567525*c*(11305*c^10+43928*c^9+93721*c^8+124944*c^ 7+115986*c^6+75264*c^5+35994*c^4+11760*c^3+3045*c^2+360*c+45)/(c+1)^11, 0], [ 945*(11*c^2+2*c+1)/(c+1)^2, 0, 945*(63*c^4+8*c^3+28*c^2+4*c+1)/(c+1)^4, 0, 945* (385*c^6+426*c^5+617*c^4+228*c^3+147*c^2+18*c+3)/(c+1)^6, 0, 14175*(143*c^8+484 *c^7+910*c^6+896*c^5+600*c^4+212*c^3+74*c^2+8*c+1)/(c+1)^8, 0, 14175*(429*c^10+ 6006*c^9+19987*c^8+33208*c^7+33586*c^6+22260*c^5+10038*c^4+2968*c^3+721*c^2+70* c+7)/(c+1)^10, 0, -14175*(2431*c^11-84799*c^10-379665*c^9-756195*c^8-897330*c^7 -705726*c^6-382746*c^5-145950*c^4-37485*c^3-7875*c^2-693*c-63)/(c+1)^11, 0, 467775*(4199*c^12+74256*c^11+308828*c^10+652860*c^9+859935*c^8+769776*c^7+ 488544*c^6+223272*c^5+73605*c^4+16800*c^3+3108*c^2+252*c+21)/(c+1)^12, 0, 42567525*(4845*c^12+31008*c^11+92344*c^10+162660*c^9+190305*c^8+155760*c^7+ 92232*c^6+39576*c^5+12495*c^4+2640*c^3+480*c^2+36*c+3)/(c+1)^12, 0, 212837625*( 52003*c^12+232560*c^11+551684*c^10+827628*c^9+865467*c^8+648048*c^7+359184*c^6+ 144648*c^5+44025*c^4+8640*c^3+1548*c^2+108*c+9)/(c+1)^12], [0, -10395*c*(9*c^2+ 1)/(c+1)^3, 0, -10395*c*(63*c^4+26*c^3+46*c^2+6*c+3)/(c+1)^5, 0, -51975*c*(91*c ^6+148*c^5+213*c^4+128*c^3+77*c^2+12*c+3)/(c+1)^7, 0, -155925*c*(195*c^8+806*c^ 7+1712*c^6+2030*c^5+1582*c^4+770*c^3+280*c^2+42*c+7)/(c+1)^9, 0, -155925*c*(663 *c^10+10504*c^9+39299*c^8+74160*c^7+86286*c^6+67200*c^5+36414*c^4+13776*c^3+ 3675*c^2+504*c+63)/(c+1)^11, 0, 155925*c*(4199*c^11-161109*c^10-808665*c^9-\ 1809665*c^8-2438370*c^7-2206314*c^6-1405866*c^5-644490*c^4-211365*c^3-49665*c^2 -6237*c-693)/(c+1)^12, 0, -6081075*c*(6783*c^12+132430*c^11+606458*c^10+1420430 *c^9+2090825*c^8+2116092*c^7+1541100*c^6+825132*c^5+326865*c^4+94710*c^3+19866* c^2+2310*c+231)/(c+1)^13, 0, -212837625*c*(22287*c^12+159562*c^11+523906*c^10+ 1023638*c^9+1337765*c^8+1238820*c^7+840972*c^6+423852*c^5+159753*c^4+43890*c^3+ 9042*c^2+990*c+99)/(c+1)^13, 0], [10395*(13*c^2+2*c+1)/(c+1)^2, 0, 10395*(99*c^ 4+8*c^3+32*c^2+4*c+1)/(c+1)^4, 0, 31185*(273*c^6+214*c^5+295*c^4+84*c^3+55*c^2+ 6*c+1)/(c+1)^6, 0, 155925*(455*c^8+988*c^7+1526*c^6+1232*c^5+784*c^4+236*c^3+82 *c^2+8*c+1)/(c+1)^8, 0, 155925*(3315*c^10+16198*c^9+38779*c^8+53480*c^7+48342*c ^6+29092*c^5+12446*c^4+3304*c^3+791*c^2+70*c+7)/(c+1)^10, 0, 467775*(4199*c^12+ 74256*c^11+308828*c^10+652860*c^9+859935*c^8+769776*c^7+488544*c^6+223272*c^5+ 73605*c^4+16800*c^3+3108*c^2+252*c+21)/(c+1)^12, 0, -467775*(29393*c^13-1230307 *c^12-6840834*c^11-17006418*c^10-25664925*c^9-26289153*c^8-19253388*c^7-\ 10338636*c^6-4094937*c^5-1190805*c^4-243474*c^3-40194*c^2-3003*c-231)/(c+1)^13, 0, 42567525*(22287*c^14+476102*c^13+2381479*c^12+6123876*c^11+9967419*c^10+ 11259138*c^9+9260163*c^8+5686296*c^7+2635149*c^6+920106*c^5+239349*c^4+44484*c^ 3+6633*c^2+462*c+33)/(c+1)^14, 0, 638512875*(185725*c^14+1470942*c^13+5287187*c ^12+11355388*c^11+16412429*c^10+16971570*c^9+13010283*c^8+7527432*c^7+3314751*c ^6+1103586*c^5+276705*c^4+48444*c^3+7095*c^2+462*c+33)/(c+1)^14], [0, -135135*c *(11*c^2+1)/(c+1)^3, 0, -405405*c*(33*c^4+10*c^3+18*c^2+2*c+1)/(c+1)^5, 0, -\ 2027025*c*(63*c^6+76*c^5+99*c^4+48*c^3+29*c^2+4*c+1)/(c+1)^7, 0, -2027025*c*( 595*c^8+1626*c^7+2780*c^6+2758*c^5+1974*c^4+854*c^3+308*c^2+42*c+7)/(c+1)^9, 0, -6081075*c*(1615*c^10+9112*c^9+24425*c^8+38352*c^7+39702*c^6+28224*c^5+14322*c^ 4+5040*c^3+1323*c^2+168*c+21)/(c+1)^11, 0, -6081075*c*(6783*c^12+132430*c^11+ 606458*c^10+1420430*c^9+2090825*c^8+2116092*c^7+1541100*c^6+825132*c^5+326865*c ^4+94710*c^3+19866*c^2+2310*c+231)/(c+1)^13, 0, 6081075*c*(52003*c^13-2358223*c ^12-14385774*c^11-39354354*c^10-65789295*c^9-75305373*c^8-62354292*c^7-38422956 *c^6-17828811*c^5-6231225*c^4-1615614*c^3-306306*c^2-33033*c-3003)/(c+1)^14, 0, -638512875*c*(37145*c^14+861764*c^13+4676071*c^12+13100880*c^11+23372297*c^10+ 29159988*c^9+26742287*c^8+18532800*c^7+9842547*c^6+4020588*c^5+1256541*c^4+ 295152*c^3+51051*c^2+5148*c+429)/(c+1)^15, 0], [135135*(15*c^2+2*c+1)/(c+1)^2, 0, 135135*(143*c^4+8*c^3+36*c^2+4*c+1)/(c+1)^4, 0, 405405*(495*c^6+302*c^5+403* c^4+92*c^3+61*c^2+6*c+1)/(c+1)^6, 0, 2027025*(1071*c^8+1780*c^7+2414*c^6+1632*c ^5+1000*c^4+260*c^3+90*c^2+8*c+1)/(c+1)^8, 0, 14189175*(1615*c^10+5338*c^9+ 10197*c^8+11880*c^7+9702*c^6+5292*c^5+2170*c^4+520*c^3+123*c^2+10*c+1)/(c+1)^10 , 0, 42567525*(4845*c^12+31008*c^11+92344*c^10+162660*c^9+190305*c^8+155760*c^7 +92232*c^6+39576*c^5+12495*c^4+2640*c^3+480*c^2+36*c+3)/(c+1)^12, 0, 42567525*( 22287*c^14+476102*c^13+2381479*c^12+6123876*c^11+9967419*c^10+11259138*c^9+ 9260163*c^8+5686296*c^7+2635149*c^6+920106*c^5+239349*c^4+44484*c^3+6633*c^2+ 462*c+33)/(c+1)^14, 0, -42567525*(185725*c^15-9070809*c^14-60226257*c^13-\ 179855767*c^12-330044715*c^11-417714297*c^10-386026641*c^9-268634223*c^8-\ 142958673*c^7-58453395*c^6-18261243*c^5-4297293*c^4-729729*c^3-99099*c^2-6435*c -429)/(c+1)^15, 0, 638512875*(1002915*c^16+25110020*c^15+146930762*c^14+ 445597880*c^13+864918418*c^12+1181592412*c^11+1195892698*c^10+923551200*c^9+ 553238400*c^8+258901500*c^7+94588494*c^6+26738712*c^5+5747742*c^4+900900*c^3+ 112398*c^2+6864*c+429)/(c+1)^16], [0, -2027025*c*(13*c^2+1)/(c+1)^3, 0, -\ 2027025*c*(143*c^4+34*c^3+62*c^2+6*c+3)/(c+1)^5, 0, -2027025*c*(1683*c^6+1636*c ^5+1993*c^4+800*c^3+485*c^2+60*c+15)/(c+1)^7, 0, -42567525*c*(969*c^8+2074*c^7+ 3064*c^6+2602*c^5+1738*c^4+670*c^3+240*c^2+30*c+5)/(c+1)^9, 0, -42567525*c*( 11305*c^10+43928*c^9+93721*c^8+124944*c^7+115986*c^6+75264*c^5+35994*c^4+11760* c^3+3045*c^2+360*c+45)/(c+1)^11, 0, -212837625*c*(22287*c^12+159562*c^11+523906 *c^10+1023638*c^9+1337765*c^8+1238820*c^7+840972*c^6+423852*c^5+159753*c^4+ 43890*c^3+9042*c^2+990*c+99)/(c+1)^13, 0, -638512875*c*(37145*c^14+861764*c^13+ 4676071*c^12+13100880*c^11+23372297*c^10+29159988*c^9+26742287*c^8+18532800*c^7 +9842547*c^6+4020588*c^5+1256541*c^4+295152*c^3+51051*c^2+5148*c+429)/(c+1)^15, 0, 638512875*c*(334305*c^15-17495295*c^14-125587245*c^13-406629545*c^12-\ 812863415*c^11-1127572719*c^10-1150898749*c^9-893054305*c^8-536363685*c^7-\ 251336085*c^6-91858767*c^5-25972947*c^4-5570565*c^3-885885*c^2-83655*c-6435)/(c +1)^16, 0], [2027025*(17*c^2+2*c+1)/(c+1)^2, 0, 2027025*(195*c^4+8*c^3+40*c^2+4 *c+1)/(c+1)^4, 0, 2027025*(2431*c^6+1218*c^5+1589*c^4+300*c^3+201*c^2+18*c+3)/( c+1)^6, 0, 6081075*(10659*c^8+14620*c^7+18126*c^6+10480*c^5+6240*c^4+1420*c^3+ 490*c^2+40*c+5)/(c+1)^8, 0, 42567525*(20349*c^10+53618*c^9+87873*c^8+88728*c^7+ 66474*c^6+32940*c^5+13050*c^4+2840*c^3+665*c^2+50*c+5)/(c+1)^10, 0, 212837625*( 52003*c^12+232560*c^11+551684*c^10+827628*c^9+865467*c^8+648048*c^7+359184*c^6+ 144648*c^5+44025*c^4+8640*c^3+1548*c^2+108*c+9)/(c+1)^12, 0, 638512875*(185725* c^14+1470942*c^13+5287187*c^12+11355388*c^11+16412429*c^10+16971570*c^9+ 13010283*c^8+7527432*c^7+3314751*c^6+1103586*c^5+276705*c^4+48444*c^3+7095*c^2+ 462*c+33)/(c+1)^14, 0, 638512875*(1002915*c^16+25110020*c^15+146930762*c^14+ 445597880*c^13+864918418*c^12+1181592412*c^11+1195892698*c^10+923551200*c^9+ 553238400*c^8+258901500*c^7+94588494*c^6+26738712*c^5+5747742*c^4+900900*c^3+ 112398*c^2+6864*c+429)/(c+1)^16, 0, -638512875*(9694845*c^17-541239795*c^16-\ 4176583800*c^15-14575995160*c^14-31535749700*c^13-47592322596*c^12-53189560424* c^11-45548880520*c^10-30484950210*c^9-16112695170*c^8-6746450568*c^7-2229979752 *c^6-575554980*c^5-113813700*c^4-16525080*c^3-1904760*c^2-109395*c-6435)/(c+1)^ 17]], [[0, -3*c/(c+1), 0, -3*c*(5*c^2+6*c+3)/(c+1)^3, 0, -15*c*(7*c^2+6*c+3)/(c +1)^3, 0, -315*c*(3*c^2+2*c+1)/(c+1)^3, 0, -945*c*(11*c^2+6*c+3)/(c+1)^3, 0, -\ 10395*c*(13*c^2+6*c+3)/(c+1)^3, 0, -405405*c*(5*c^2+2*c+1)/(c+1)^3, 0, -2027025 *c*(17*c^2+6*c+3)/(c+1)^3, 0], [-3*c/(c+1), 0, -3*c*(c^2+1)/(c+1)^3, 0, 3*c*(5* c^3+3*c^2+3*c-3)/(c+1)^4, 0, 45*c*(7*c^3+3*c^2+3*c-1)/(c+1)^4, 0, 315*c*(15*c^3 +5*c^2+5*c-1)/(c+1)^4, 0, 945*c*(77*c^3+21*c^2+21*c-3)/(c+1)^4, 0, 31185*c*(39* c^3+9*c^2+9*c-1)/(c+1)^4, 0, 405405*c*(55*c^3+11*c^2+11*c-1)/(c+1)^4, 0, 2027025*c*(221*c^3+39*c^2+39*c-3)/(c+1)^4], [0, -3*c*(c^2+1)/(c+1)^3, 0, 3*c*(c ^3-11*c^2-3*c-3)/(c+1)^4, 0, -15*c*(3*c^4+14*c^3+22*c^2+6*c+3)/(c+1)^5, 0, -315 *c*(5*c^4+6*c^3+10*c^2+2*c+1)/(c+1)^5, 0, -945*c*(35*c^4+22*c^3+38*c^2+6*c+3)/( c+1)^5, 0, -10395*c*(63*c^4+26*c^3+46*c^2+6*c+3)/(c+1)^5, 0, -405405*c*(33*c^4+ 10*c^3+18*c^2+2*c+1)/(c+1)^5, 0, -2027025*c*(143*c^4+34*c^3+62*c^2+6*c+3)/(c+1) ^5, 0], [-3*c*(5*c^2+6*c+3)/(c+1)^3, 0, 3*c*(c^3-11*c^2-3*c-3)/(c+1)^4, 0, -9*c *(c-1)*(c^3-11*c^2-3*c-3)/(c+1)^5, 0, 45*c*(5*c^5+39*c^4+48*c^3+4*c^2+3*c-3)/(c +1)^6, 0, 315*c*(35*c^5+75*c^4+108*c^3+16*c^2+9*c-3)/(c+1)^6, 0, 2835*c*(105*c^ 5+119*c^4+184*c^3+28*c^2+15*c-3)/(c+1)^6, 0, 31185*c*(231*c^5+171*c^4+276*c^3+ 40*c^2+21*c-3)/(c+1)^6, 0, 405405*c*(429*c^5+231*c^4+384*c^3+52*c^2+27*c-3)/(c+ 1)^6, 0, 6081075*c*(715*c^5+299*c^4+508*c^3+64*c^2+33*c-3)/(c+1)^6], [0, 3*c*(5 *c^3+3*c^2+3*c-3)/(c+1)^4, 0, -9*c*(c-1)*(c^3-11*c^2-3*c-3)/(c+1)^5, 0, 45*c*(c ^5-15*c^4-6*c^3-22*c^2-3*c-3)/(c+1)^6, 0, -315*c*(5*c^6+54*c^5+81*c^4+52*c^3+39 *c^2+6*c+3)/(c+1)^7, 0, -2835*c*(35*c^6+110*c^5+165*c^4+76*c^3+53*c^2+6*c+3)/(c +1)^7, 0, -31185*c*(105*c^6+182*c^5+273*c^4+100*c^3+67*c^2+6*c+3)/(c+1)^7, 0, -\ 405405*c*(231*c^6+270*c^5+405*c^4+124*c^3+81*c^2+6*c+3)/(c+1)^7, 0, -6081075*c* (429*c^6+374*c^5+561*c^4+148*c^3+95*c^2+6*c+3)/(c+1)^7, 0], [-15*c*(7*c^2+6*c+3 )/(c+1)^3, 0, -15*c*(3*c^4+14*c^3+22*c^2+6*c+3)/(c+1)^5, 0, 45*c*(c^5-15*c^4-6* c^3-22*c^2-3*c-3)/(c+1)^6, 0, -45*c*(7*c^6-128*c^5-135*c^4-160*c^3+65*c^2+15)/( c+1)^7, 0, 315*c*(45*c^7+619*c^6+1157*c^5+1035*c^4+575*c^3+25*c^2+15*c-15)/(c+1 )^8, 0, 14175*c*(77*c^7+321*c^6+543*c^5+395*c^4+235*c^3+23*c^2+9*c-3)/(c+1)^8, 0, 155925*c*(273*c^7+651*c^6+1029*c^5+623*c^4+379*c^3+41*c^2+15*c-3)/(c+1)^8, 0 , 2027025*c*(693*c^7+1149*c^6+1731*c^5+891*c^4+547*c^3+59*c^2+21*c-3)/(c+1)^8, 0, 6081075*c*(7293*c^7+9251*c^6+13453*c^5+5995*c^4+3695*c^3+385*c^2+135*c-15)/( c+1)^8], [0, 45*c*(7*c^3+3*c^2+3*c-1)/(c+1)^4, 0, 45*c*(5*c^5+39*c^4+48*c^3+4*c ^2+3*c-3)/(c+1)^6, 0, -45*c*(7*c^6-128*c^5-135*c^4-160*c^3+65*c^2+15)/(c+1)^7, 0, 945*c*(3*c^7-65*c^6-107*c^5-115*c^4-35*c^3-55*c^2-5*c-5)/(c+1)^8, 0, -2835*c *(55*c^8+918*c^7+2088*c^6+2322*c^5+1530*c^4+570*c^3+280*c^2+30*c+15)/(c+1)^9, 0 , -155925*c*(91*c^8+474*c^7+924*c^6+882*c^5+570*c^4+174*c^3+76*c^2+6*c+3)/(c+1) ^9, 0, -6081075*c*(105*c^8+322*c^7+560*c^6+462*c^5+294*c^4+78*c^3+32*c^2+2*c+1) /(c+1)^9, 0, -6081075*c*(3927*c^8+8586*c^7+13716*c^6+9882*c^5+6210*c^4+1470*c^3 +580*c^2+30*c+15)/(c+1)^9, 0], [-315*c*(3*c^2+2*c+1)/(c+1)^3, 0, -315*c*(5*c^4+ 6*c^3+10*c^2+2*c+1)/(c+1)^5, 0, -315*c*(5*c^6+54*c^5+81*c^4+52*c^3+39*c^2+6*c+3 )/(c+1)^7, 0, 945*c*(3*c^7-65*c^6-107*c^5-115*c^4-35*c^3-55*c^2-5*c-5)/(c+1)^8, 0, -945*c*(33*c^8-828*c^7-1834*c^6-2184*c^5-1260*c^4-700*c^3+210*c^2+35)/(c+1)^ 9, 0, 14175*c*(143*c^9+2805*c^8+7566*c^7+10038*c^6+7980*c^5+4032*c^4+1442*c^3+ 42*c^2+21*c-21)/(c+1)^10, 0, 467775*c*(455*c^9+2847*c^8+6390*c^7+7434*c^6+5572* c^5+2520*c^4+938*c^3+70*c^2+21*c-7)/(c+1)^10, 0, 42567525*c*(255*c^9+961*c^8+ 1870*c^7+1918*c^6+1372*c^5+560*c^4+210*c^3+18*c^2+5*c-1)/(c+1)^10, 0, 42567525* c*(10659*c^9+29223*c^8+50958*c^7+46458*c^6+32004*c^5+11880*c^4+4450*c^3+390*c^2 +105*c-15)/(c+1)^10], [0, 315*c*(15*c^3+5*c^2+5*c-1)/(c+1)^4, 0, 315*c*(35*c^5+ 75*c^4+108*c^3+16*c^2+9*c-3)/(c+1)^6, 0, 315*c*(45*c^7+619*c^6+1157*c^5+1035*c^ 4+575*c^3+25*c^2+15*c-15)/(c+1)^8, 0, -945*c*(33*c^8-828*c^7-1834*c^6-2184*c^5-\ 1260*c^4-700*c^3+210*c^2+35)/(c+1)^9, 0, 2835*c*(143*c^9-4081*c^8-11316*c^7-\ 15540*c^6-11886*c^5-6510*c^4-1540*c^3-1540*c^2-105*c-105)/(c+1)^10, 0, -155925* c*(195*c^10+4394*c^9+13753*c^8+21240*c^7+19950*c^6+12348*c^5+5250*c^4+1400*c^3+ 511*c^2+42*c+21)/(c+1)^11, 0, -6081075*c*(595*c^10+4350*c^9+11147*c^8+15224*c^7 +13286*c^6+7588*c^5+3150*c^4+728*c^3+231*c^2+14*c+7)/(c+1)^11, 0, -42567525*c*( 4845*c^10+21726*c^9+47451*c^8+57672*c^7+47250*c^6+24948*c^5+10150*c^4+2120*c^3+ 625*c^2+30*c+15)/(c+1)^11, 0], [-945*c*(11*c^2+6*c+3)/(c+1)^3, 0, -945*c*(35*c^ 4+22*c^3+38*c^2+6*c+3)/(c+1)^5, 0, -2835*c*(35*c^6+110*c^5+165*c^4+76*c^3+53*c^ 2+6*c+3)/(c+1)^7, 0, -2835*c*(55*c^8+918*c^7+2088*c^6+2322*c^5+1530*c^4+570*c^3 +280*c^2+30*c+15)/(c+1)^9, 0, 2835*c*(143*c^9-4081*c^8-11316*c^7-15540*c^6-\ 11886*c^5-6510*c^4-1540*c^3-1540*c^2-105*c-105)/(c+1)^10, 0, -42525*c*(143*c^10 -4576*c^9-15213*c^8-24096*c^7-22386*c^6-14112*c^5-5586*c^4-2016*c^3+483*c^2+63) /(c+1)^11, 0, 467775*c*(1105*c^11+28119*c^10+100347*c^9+177189*c^8+192618*c^7+ 140742*c^6+71862*c^5+25578*c^4+6741*c^3+147*c^2+63*c-63)/(c+1)^12, 0, 42567525* c*(1615*c^11+13515*c^10+39135*c^9+61323*c^8+61614*c^7+41958*c^6+20454*c^5+6750* c^4+1827*c^3+111*c^2+27*c-9)/(c+1)^12, 0, 127702575*c*(33915*c^11+176681*c^10+ 431749*c^9+604575*c^8+565806*c^7+359898*c^6+168714*c^5+51870*c^4+14055*c^3+1005 *c^2+225*c-45)/(c+1)^12], [0, 945*c*(77*c^3+21*c^2+21*c-3)/(c+1)^4, 0, 2835*c*( 105*c^5+119*c^4+184*c^3+28*c^2+15*c-3)/(c+1)^6, 0, 14175*c*(77*c^7+321*c^6+543* c^5+395*c^4+235*c^3+23*c^2+9*c-3)/(c+1)^8, 0, 14175*c*(143*c^9+2805*c^8+7566*c^ 7+10038*c^6+7980*c^5+4032*c^4+1442*c^3+42*c^2+21*c-21)/(c+1)^10, 0, -42525*c*( 143*c^10-4576*c^9-15213*c^8-24096*c^7-22386*c^6-14112*c^5-5586*c^4-2016*c^3+483 *c^2+63)/(c+1)^11, 0, 467775*c*(221*c^11-7839*c^10-30355*c^9-54915*c^8-59670*c^ 7-43806*c^6-21966*c^5-8190*c^4-1575*c^3-1155*c^2-63*c-63)/(c+1)^12, 0, -6081075 *c*(1615*c^12+45798*c^11+183714*c^10+365670*c^9+452385*c^8+381420*c^7+228732*c^ 6+99036*c^5+31185*c^4+6510*c^3+1890*c^2+126*c+63)/(c+1)^13, 0, -638512875*c*( 2261*c^12+21318*c^11+69054*c^10+122170*c^9+139455*c^8+109980*c^7+62580*c^6+ 25620*c^5+7875*c^4+1470*c^3+366*c^2+18*c+9)/(c+1)^13, 0], [-10395*c*(13*c^2+6*c +3)/(c+1)^3, 0, -10395*c*(63*c^4+26*c^3+46*c^2+6*c+3)/(c+1)^5, 0, -31185*c*(105 *c^6+182*c^5+273*c^4+100*c^3+67*c^2+6*c+3)/(c+1)^7, 0, -155925*c*(91*c^8+474*c^ 7+924*c^6+882*c^5+570*c^4+174*c^3+76*c^2+6*c+3)/(c+1)^9, 0, -155925*c*(195*c^10 +4394*c^9+13753*c^8+21240*c^7+19950*c^6+12348*c^5+5250*c^4+1400*c^3+511*c^2+42* c+21)/(c+1)^11, 0, 467775*c*(221*c^11-7839*c^10-30355*c^9-54915*c^8-59670*c^7-\ 43806*c^6-21966*c^5-8190*c^4-1575*c^3-1155*c^2-63*c-63)/(c+1)^12, 0, -467775*c* (4199*c^12-163540*c^11-722436*c^10-1475760*c^9-1834305*c^8-1549944*c^7-924000*c ^6-402864*c^5-121275*c^4-32340*c^3+6468*c^2+693)/(c+1)^13, 0, 42567525*c*(4845* c^13+151487*c^12+675172*c^11+1497408*c^10+2079825*c^9+1989735*c^8+1373328*c^7+ 698808*c^6+263967*c^5+72765*c^4+15180*c^3+264*c^2+99*c-99)/(c+1)^14, 0, 638512875*c*(52003*c^13+545547*c^12+1958672*c^11+3864916*c^10+4951595*c^9+ 4438335*c^8+2902680*c^7+1404480*c^6+510345*c^5+132825*c^4+28248*c^3+1452*c^2+ 297*c-99)/(c+1)^14], [0, 31185*c*(39*c^3+9*c^2+9*c-1)/(c+1)^4, 0, 31185*c*(231* c^5+171*c^4+276*c^3+40*c^2+21*c-3)/(c+1)^6, 0, 155925*c*(273*c^7+651*c^6+1029*c ^5+623*c^4+379*c^3+41*c^2+15*c-3)/(c+1)^8, 0, 467775*c*(455*c^9+2847*c^8+6390*c ^7+7434*c^6+5572*c^5+2520*c^4+938*c^3+70*c^2+21*c-7)/(c+1)^10, 0, 467775*c*( 1105*c^11+28119*c^10+100347*c^9+177189*c^8+192618*c^7+140742*c^6+71862*c^5+ 25578*c^4+6741*c^3+147*c^2+63*c-63)/(c+1)^12, 0, -467775*c*(4199*c^12-163540*c^ 11-722436*c^10-1475760*c^9-1834305*c^8-1549944*c^7-924000*c^6-402864*c^5-121275 *c^4-32340*c^3+6468*c^2+693)/(c+1)^13, 0, 18243225*c*(2261*c^13-95931*c^12-\ 475898*c^11-1085898*c^10-1520145*c^9-1457841*c^8-1004124*c^7-510972*c^6-191037* c^5-54285*c^4-8778*c^3-5082*c^2-231*c-231)/(c+1)^14, 0, -638512875*c*(7429*c^14 +253878*c^13+1245165*c^12+3047420*c^11+4699761*c^10+5034810*c^9+3935481*c^8+ 2302344*c^7+1019007*c^6+340362*c^5+85239*c^4+14652*c^3+3531*c^2+198*c+99)/(c+1) ^15, 0], [-405405*c*(5*c^2+2*c+1)/(c+1)^3, 0, -405405*c*(33*c^4+10*c^3+18*c^2+2 *c+1)/(c+1)^5, 0, -405405*c*(231*c^6+270*c^5+405*c^4+124*c^3+81*c^2+6*c+3)/(c+1 )^7, 0, -6081075*c*(105*c^8+322*c^7+560*c^6+462*c^5+294*c^4+78*c^3+32*c^2+2*c+1 )/(c+1)^9, 0, -6081075*c*(595*c^10+4350*c^9+11147*c^8+15224*c^7+13286*c^6+7588* c^5+3150*c^4+728*c^3+231*c^2+14*c+7)/(c+1)^11, 0, -6081075*c*(1615*c^12+45798*c ^11+183714*c^10+365670*c^9+452385*c^8+381420*c^7+228732*c^6+99036*c^5+31185*c^4 +6510*c^3+1890*c^2+126*c+63)/(c+1)^13, 0, 18243225*c*(2261*c^13-95931*c^12-\ 475898*c^11-1085898*c^10-1520145*c^9-1457841*c^8-1004124*c^7-510972*c^6-191037* c^5-54285*c^4-8778*c^3-5082*c^2-231*c-231)/(c+1)^14, 0, -127702575*c*(7429*c^14 -341088*c^13-1876953*c^12-4738240*c^11-7381803*c^10-7934784*c^9-6200337*c^8-\ 3624192*c^7-1598025*c^6-535392*c^5-129987*c^4-27456*c^3+4719*c^2+429)/(c+1)^15, 0, 638512875*c*(185725*c^15+6886683*c^14+36869481*c^13+98764679*c^12+167573913* c^11+198882255*c^10+173793477*c^9+115002459*c^8+58441383*c^7+22886721*c^6+ 6873867*c^5+1548261*c^4+267267*c^3+3861*c^2+1287*c-1287)/(c+1)^16], [0, 405405* c*(55*c^3+11*c^2+11*c-1)/(c+1)^4, 0, 405405*c*(429*c^5+231*c^4+384*c^3+52*c^2+ 27*c-3)/(c+1)^6, 0, 2027025*c*(693*c^7+1149*c^6+1731*c^5+891*c^4+547*c^3+59*c^2 +21*c-3)/(c+1)^8, 0, 42567525*c*(255*c^9+961*c^8+1870*c^7+1918*c^6+1372*c^5+560 *c^4+210*c^3+18*c^2+5*c-1)/(c+1)^10, 0, 42567525*c*(1615*c^11+13515*c^10+39135* c^9+61323*c^8+61614*c^7+41958*c^6+20454*c^5+6750*c^4+1827*c^3+111*c^2+27*c-9)/( c+1)^12, 0, 42567525*c*(4845*c^13+151487*c^12+675172*c^11+1497408*c^10+2079825* c^9+1989735*c^8+1373328*c^7+698808*c^6+263967*c^5+72765*c^4+15180*c^3+264*c^2+ 99*c-99)/(c+1)^14, 0, -127702575*c*(7429*c^14-341088*c^13-1876953*c^12-4738240* c^11-7381803*c^10-7934784*c^9-6200337*c^8-3624192*c^7-1598025*c^6-535392*c^5-\ 129987*c^4-27456*c^3+4719*c^2+429)/(c+1)^15, 0, 638512875*c*(37145*c^15-1834963 *c^14-11090205*c^13-30715685*c^12-52741871*c^11-62873811*c^10-54987933*c^9-\ 36365901*c^8-18443997*c^7-7216209*c^6-2153151*c^5-495495*c^4-69069*c^3-33033*c^ 2-1287*c-1287)/(c+1)^16, 0], [-2027025*c*(17*c^2+6*c+3)/(c+1)^3, 0, -2027025*c* (143*c^4+34*c^3+62*c^2+6*c+3)/(c+1)^5, 0, -6081075*c*(429*c^6+374*c^5+561*c^4+ 148*c^3+95*c^2+6*c+3)/(c+1)^7, 0, -6081075*c*(3927*c^8+8586*c^7+13716*c^6+9882* c^5+6210*c^4+1470*c^3+580*c^2+30*c+15)/(c+1)^9, 0, -42567525*c*(4845*c^10+21726 *c^9+47451*c^8+57672*c^7+47250*c^6+24948*c^5+10150*c^4+2120*c^3+625*c^2+30*c+15 )/(c+1)^11, 0, -638512875*c*(2261*c^12+21318*c^11+69054*c^10+122170*c^9+139455* c^8+109980*c^7+62580*c^6+25620*c^5+7875*c^4+1470*c^3+366*c^2+18*c+9)/(c+1)^13, 0, -638512875*c*(7429*c^14+253878*c^13+1245165*c^12+3047420*c^11+4699761*c^10+ 5034810*c^9+3935481*c^8+2302344*c^7+1019007*c^6+340362*c^5+85239*c^4+14652*c^3+ 3531*c^2+198*c+99)/(c+1)^15, 0, 638512875*c*(37145*c^15-1834963*c^14-11090205*c ^13-30715685*c^12-52741871*c^11-62873811*c^10-54987933*c^9-36365901*c^8-\ 18443997*c^7-7216209*c^6-2153151*c^5-495495*c^4-69069*c^3-33033*c^2-1287*c-1287 )/(c+1)^16, 0, -1915538625*c*(334305*c^16-17681020*c^15-116412430*c^14-\ 351178520*c^13-659284990*c^12-863863364*c^11-836529694*c^10-618114640*c^9-\ 354534180*c^8-159116100*c^7-55777722*c^6-15207192*c^5-3093090*c^4-540540*c^3+ 81510*c^2+6435)/(c+1)^17], [0, 2027025*c*(221*c^3+39*c^2+39*c-3)/(c+1)^4, 0, 6081075*c*(715*c^5+299*c^4+508*c^3+64*c^2+33*c-3)/(c+1)^6, 0, 6081075*c*(7293*c ^7+9251*c^6+13453*c^5+5995*c^4+3695*c^3+385*c^2+135*c-15)/(c+1)^8, 0, 42567525* c*(10659*c^9+29223*c^8+50958*c^7+46458*c^6+32004*c^5+11880*c^4+4450*c^3+390*c^2 +105*c-15)/(c+1)^10, 0, 127702575*c*(33915*c^11+176681*c^10+431749*c^9+604575*c ^8+565806*c^7+359898*c^6+168714*c^5+51870*c^4+14055*c^3+1005*c^2+225*c-45)/(c+1 )^12, 0, 638512875*c*(52003*c^13+545547*c^12+1958672*c^11+3864916*c^10+4951595* c^9+4438335*c^8+2902680*c^7+1404480*c^6+510345*c^5+132825*c^4+28248*c^3+1452*c^ 2+297*c-99)/(c+1)^14, 0, 638512875*c*(185725*c^15+6886683*c^14+36869481*c^13+ 98764679*c^12+167573913*c^11+198882255*c^10+173793477*c^9+115002459*c^8+ 58441383*c^7+22886721*c^6+6873867*c^5+1548261*c^4+267267*c^3+3861*c^2+1287*c-\ 1287)/(c+1)^16, 0, -1915538625*c*(334305*c^16-17681020*c^15-116412430*c^14-\ 351178520*c^13-659284990*c^12-863863364*c^11-836529694*c^10-618114640*c^9-\ 354534180*c^8-159116100*c^7-55777722*c^6-15207192*c^5-3093090*c^4-540540*c^3+ 81510*c^2+6435)/(c+1)^17, 0]], [[3, 0, 3*(5*c^2+2*c+1)/(c+1)^2, 0, 3*(35*c^4+60 *c^3+42*c^2+12*c+3)/(c+1)^4, 0, 45*(21*c^4+28*c^3+18*c^2+4*c+1)/(c+1)^4, 0, 315 *(33*c^4+36*c^3+22*c^2+4*c+1)/(c+1)^4, 0, 945*(143*c^4+132*c^3+78*c^2+12*c+3)/( c+1)^4, 0, 31185*(65*c^4+52*c^3+30*c^2+4*c+1)/(c+1)^4, 0, 405405*(85*c^4+60*c^3 +34*c^2+4*c+1)/(c+1)^4, 0, 2027025*(323*c^4+204*c^3+114*c^2+12*c+3)/(c+1)^4], [ 0, 3*c*(3*c-1)/(c+1)^2, 0, 3*c*(5*c^3+3*c^2+3*c-3)/(c+1)^4, 0, -15*c*(7*c^4+8*c ^3+6*c^2+3)/(c+1)^5, 0, -315*c*(9*c^4+8*c^3+6*c^2+1)/(c+1)^5, 0, -945*c*(55*c^4 +40*c^3+30*c^2+3)/(c+1)^5, 0, -10395*c*(91*c^4+56*c^3+42*c^2+3)/(c+1)^5, 0, -\ 405405*c*(45*c^4+24*c^3+18*c^2+1)/(c+1)^5, 0, -2027025*c*(187*c^4+88*c^3+66*c^2 +3)/(c+1)^5, 0], [3*(5*c^2+2*c+1)/(c+1)^2, 0, 3*(3*c^4+8*c^3+16*c^2+4*c+1)/(c+1 )^4, 0, -3*(5*c^5-71*c^4-78*c^3-78*c^2-15*c-3)/(c+1)^5, 0, 45*(7*c^6+46*c^5+83* c^4+60*c^3+37*c^2+6*c+1)/(c+1)^6, 0, 315*(45*c^6+86*c^5+135*c^4+68*c^3+43*c^2+6 *c+1)/(c+1)^6, 0, 945*(385*c^6+426*c^5+617*c^4+228*c^3+147*c^2+18*c+3)/(c+1)^6, 0, 31185*(273*c^6+214*c^5+295*c^4+84*c^3+55*c^2+6*c+1)/(c+1)^6, 0, 405405*(495* c^6+302*c^5+403*c^4+92*c^3+61*c^2+6*c+1)/(c+1)^6, 0, 2027025*(2431*c^6+1218*c^5 +1589*c^4+300*c^3+201*c^2+18*c+3)/(c+1)^6], [0, 3*c*(5*c^3+3*c^2+3*c-3)/(c+1)^4 , 0, -9*c*(c-1)*(c^3-11*c^2-3*c-3)/(c+1)^5, 0, 45*c*(c^5-15*c^4-6*c^3-22*c^2-3* c-3)/(c+1)^6, 0, -315*c*(5*c^6+54*c^5+81*c^4+52*c^3+39*c^2+6*c+3)/(c+1)^7, 0, -\ 2835*c*(35*c^6+110*c^5+165*c^4+76*c^3+53*c^2+6*c+3)/(c+1)^7, 0, -31185*c*(105*c ^6+182*c^5+273*c^4+100*c^3+67*c^2+6*c+3)/(c+1)^7, 0, -405405*c*(231*c^6+270*c^5 +405*c^4+124*c^3+81*c^2+6*c+3)/(c+1)^7, 0, -6081075*c*(429*c^6+374*c^5+561*c^4+ 148*c^3+95*c^2+6*c+3)/(c+1)^7, 0], [3*(35*c^4+60*c^3+42*c^2+12*c+3)/(c+1)^4, 0, -3*(5*c^5-71*c^4-78*c^3-78*c^2-15*c-3)/(c+1)^5, 0, 27*(c^6-10*c^5+71*c^4+52*c^3 +39*c^2+6*c+1)/(c+1)^6, 0, -45*(5*c^7-93*c^6-231*c^5-545*c^4-297*c^3-159*c^2-21 *c-3)/(c+1)^7, 0, 315*(35*c^8+520*c^7+972*c^6+1192*c^5+1154*c^4+504*c^3+204*c^2 +24*c+3)/(c+1)^8, 0, 2835*(315*c^8+1400*c^7+2292*c^6+1800*c^5+1578*c^4+552*c^3+ 228*c^2+24*c+3)/(c+1)^8, 0, 31185*(1155*c^8+2856*c^7+4476*c^6+2600*c^5+2114*c^4 +600*c^3+252*c^2+24*c+3)/(c+1)^8, 0, 405405*(3003*c^8+5016*c^7+7716*c^6+3592*c^ 5+2762*c^4+648*c^3+276*c^2+24*c+3)/(c+1)^8, 0, 6081075*(6435*c^8+8008*c^7+12204 *c^6+4776*c^5+3522*c^4+696*c^3+300*c^2+24*c+3)/(c+1)^8], [0, -15*c*(7*c^4+8*c^3 +6*c^2+3)/(c+1)^5, 0, 45*c*(c^5-15*c^4-6*c^3-22*c^2-3*c-3)/(c+1)^6, 0, -45*c*(3 *c^6-34*c^5+273*c^4+180*c^3+205*c^2+30*c+15)/(c+1)^7, 0, 315*c*(5*c^7-113*c^6-\ 447*c^5-869*c^4-505*c^3-315*c^2-45*c-15)/(c+1)^8, 0, -2835*c*(35*c^8+660*c^7+ 1552*c^6+2292*c^5+2118*c^4+1020*c^3+440*c^2+60*c+15)/(c+1)^9, 0, -155925*c*(63* c^8+364*c^7+688*c^6+724*c^5+614*c^4+244*c^3+104*c^2+12*c+3)/(c+1)^9, 0, -\ 2027025*c*(231*c^8+756*c^7+1296*c^6+1060*c^5+846*c^4+284*c^3+120*c^2+12*c+3)/(c +1)^9, 0, -6081075*c*(3003*c^8+6732*c^7+10928*c^6+7332*c^5+5598*c^4+1620*c^3+ 680*c^2+60*c+15)/(c+1)^9, 0], [45*(21*c^4+28*c^3+18*c^2+4*c+1)/(c+1)^4, 0, 45*( 7*c^6+46*c^5+83*c^4+60*c^3+37*c^2+6*c+1)/(c+1)^6, 0, -45*(5*c^7-93*c^6-231*c^5-\ 545*c^4-297*c^3-159*c^2-21*c-3)/(c+1)^7, 0, 135*(7*c^8-92*c^7+906*c^6+1440*c^5+ 1900*c^4+820*c^3+350*c^2+40*c+5)/(c+1)^8, 0, -945*(15*c^9-401*c^8-2136*c^7-4544 *c^6-4490*c^5-3570*c^4-1280*c^3-440*c^2-45*c-5)/(c+1)^9, 0, 14175*(77*c^10+1758 *c^9+5055*c^8+8616*c^7+9186*c^6+6516*c^5+3662*c^4+1128*c^3+321*c^2+30*c+3)/(c+1 )^10, 0, 467775*(273*c^10+1946*c^9+4293*c^8+5496*c^7+5050*c^6+2892*c^5+1530*c^4 +408*c^3+117*c^2+10*c+1)/(c+1)^10, 0, 6081075*(1155*c^10+4746*c^9+9125*c^8+9464 *c^7+7918*c^6+3772*c^5+1898*c^4+440*c^3+127*c^2+10*c+1)/(c+1)^10, 0, 6081075*( 51051*c^10+145926*c^9+257307*c^8+225480*c^7+177198*c^6+72180*c^5+34870*c^4+7080 *c^3+2055*c^2+150*c+15)/(c+1)^10], [0, -315*c*(9*c^4+8*c^3+6*c^2+1)/(c+1)^5, 0, -315*c*(5*c^6+54*c^5+81*c^4+52*c^3+39*c^2+6*c+3)/(c+1)^7, 0, 315*c*(5*c^7-113*c ^6-447*c^5-869*c^4-505*c^3-315*c^2-45*c-15)/(c+1)^8, 0, -945*c*(9*c^8-136*c^7+ 1598*c^6+3612*c^5+4508*c^4+2240*c^3+1050*c^2+140*c+35)/(c+1)^9, 0, 2835*c*(55*c ^9-1701*c^8-11328*c^7-27408*c^6-33810*c^5-27258*c^4-11480*c^3-4200*c^2-525*c-\ 105)/(c+1)^10, 0, -155925*c*(91*c^10+2438*c^9+8337*c^8+16176*c^7+19878*c^6+ 16716*c^5+9898*c^4+3584*c^3+1071*c^2+126*c+21)/(c+1)^11, 0, -6081075*c*(315*c^ 10+2674*c^9+6843*c^8+10224*c^7+10550*c^6+7476*c^5+4158*c^4+1344*c^3+399*c^2+42* c+7)/(c+1)^11, 0, -42567525*c*(2805*c^10+13938*c^9+30291*c^8+37584*c^7+34506*c^ 6+20964*c^5+11054*c^4+3200*c^3+945*c^2+90*c+15)/(c+1)^11, 0], [315*(33*c^4+36*c ^3+22*c^2+4*c+1)/(c+1)^4, 0, 315*(45*c^6+86*c^5+135*c^4+68*c^3+43*c^2+6*c+1)/(c +1)^6, 0, 315*(35*c^8+520*c^7+972*c^6+1192*c^5+1154*c^4+504*c^3+204*c^2+24*c+3) /(c+1)^8, 0, -945*(15*c^9-401*c^8-2136*c^7-4544*c^6-4490*c^5-3570*c^4-1280*c^3-\ 440*c^2-45*c-5)/(c+1)^9, 0, 945*(99*c^10-1698*c^9+23207*c^8+66920*c^7+94262*c^6 +71540*c^5+43190*c^4+13160*c^3+3815*c^2+350*c+35)/(c+1)^10, 0, -14175*(143*c^11 -5027*c^10-40083*c^9-110361*c^8-160314*c^7-148302*c^6-88438*c^5-41762*c^4-11109 *c^3-2751*c^2-231*c-21)/(c+1)^11, 0, 467775*(455*c^12+13988*c^11+55606*c^10+ 121604*c^9+169833*c^8+163912*c^7+112308*c^6+54824*c^5+21161*c^4+5012*c^3+1078*c ^2+84*c+7)/(c+1)^12, 0, 42567525*(765*c^12+7540*c^11+22134*c^10+37756*c^9+43911 *c^8+36296*c^7+22596*c^6+9784*c^5+3611*c^4+772*c^3+166*c^2+12*c+1)/(c+1)^12, 0, 42567525*(53295*c^12+311508*c^11+764142*c^10+1097700*c^9+1123713*c^8+811944*c^7 +467972*c^6+180840*c^5+64225*c^4+12420*c^3+2670*c^2+180*c+15)/(c+1)^12], [0, -\ 945*c*(55*c^4+40*c^3+30*c^2+3)/(c+1)^5, 0, -2835*c*(35*c^6+110*c^5+165*c^4+76*c ^3+53*c^2+6*c+3)/(c+1)^7, 0, -2835*c*(35*c^8+660*c^7+1552*c^6+2292*c^5+2118*c^4 +1020*c^3+440*c^2+60*c+15)/(c+1)^9, 0, 2835*c*(55*c^9-1701*c^8-11328*c^7-27408* c^6-33810*c^5-27258*c^4-11480*c^3-4200*c^2-525*c-105)/(c+1)^10, 0, -8505*c*(143 *c^10-2750*c^9+42863*c^8+149496*c^7+241662*c^6+225708*c^5+144438*c^4+52920*c^3+ 16275*c^2+1890*c+315)/(c+1)^11, 0, 467775*c*(65*c^11-2561*c^10-23757*c^9-73835* c^8-122982*c^7-130554*c^6-93450*c^5-48006*c^4-15435*c^3-4053*c^2-441*c-63)/(c+1 )^12, 0, -6081075*c*(595*c^12+20640*c^11+93666*c^10+228792*c^9+358521*c^8+ 390816*c^7+306636*c^6+176400*c^5+75285*c^4+21504*c^3+4914*c^2+504*c+63)/(c+1)^ 13, 0, -127702575*c*(4845*c^12+54400*c^11+181026*c^10+347560*c^9+452899*c^8+ 425376*c^7+299484*c^6+155952*c^5+63459*c^4+16800*c^3+3810*c^2+360*c+45)/(c+1)^ 13, 0], [945*(143*c^4+132*c^3+78*c^2+12*c+3)/(c+1)^4, 0, 945*(385*c^6+426*c^5+ 617*c^4+228*c^3+147*c^2+18*c+3)/(c+1)^6, 0, 2835*(315*c^8+1400*c^7+2292*c^6+ 1800*c^5+1578*c^4+552*c^3+228*c^2+24*c+3)/(c+1)^8, 0, 14175*(77*c^10+1758*c^9+ 5055*c^8+8616*c^7+9186*c^6+6516*c^5+3662*c^4+1128*c^3+321*c^2+30*c+3)/(c+1)^10, 0, -14175*(143*c^11-5027*c^10-40083*c^9-110361*c^8-160314*c^7-148302*c^6-88438* c^5-41762*c^4-11109*c^3-2751*c^2-231*c-21)/(c+1)^11, 0, 42525*(429*c^12-9152*c^ 11+160204*c^10+653940*c^9+1205805*c^8+1320816*c^7+976752*c^6+488376*c^5+193095* c^4+45360*c^3+9828*c^2+756*c+63)/(c+1)^12, 0, -467775*(1105*c^13-48243*c^12-\ 510042*c^11-1772154*c^10-3328245*c^9-4007385*c^8-3319932*c^7-1977948*c^6-842121 *c^5-283605*c^4-59850*c^3-11466*c^2-819*c-63)/(c+1)^13, 0, 42567525*(1615*c^14+ 62390*c^13+318543*c^12+861828*c^11+1499307*c^10+1824210*c^9+1615515*c^8+1065432 *c^7+528237*c^6+195258*c^5+57165*c^4+10980*c^3+1881*c^2+126*c+9)/(c+1)^14, 0, 638512875*(20349*c^14+256462*c^13+956811*c^12+2045628*c^11+2962925*c^10+3114882 *c^9+2464803*c^8+1479816*c^7+686655*c^6+234738*c^5+66249*c^4+11772*c^3+2007*c^2 +126*c+9)/(c+1)^14], [0, -10395*c*(91*c^4+56*c^3+42*c^2+3)/(c+1)^5, 0, -31185*c *(105*c^6+182*c^5+273*c^4+100*c^3+67*c^2+6*c+3)/(c+1)^7, 0, -155925*c*(63*c^8+ 364*c^7+688*c^6+724*c^5+614*c^4+244*c^3+104*c^2+12*c+3)/(c+1)^9, 0, -155925*c*( 91*c^10+2438*c^9+8337*c^8+16176*c^7+19878*c^6+16716*c^5+9898*c^4+3584*c^3+1071* c^2+126*c+21)/(c+1)^11, 0, 467775*c*(65*c^11-2561*c^10-23757*c^9-73835*c^8-\ 122982*c^7-130554*c^6-93450*c^5-48006*c^4-15435*c^3-4053*c^2-441*c-63)/(c+1)^12 , 0, -467775*c*(663*c^12-15548*c^11+301964*c^10+1410200*c^9+2935295*c^8+3680952 *c^7+3128928*c^6+1870176*c^5+821205*c^4+235620*c^3+54516*c^2+5544*c+693)/(c+1)^ 13, 0, 6081075*c*(1615*c^13-77401*c^12-918246*c^11-3534054*c^10-7391835*c^9-\ 9975075*c^8-9379524*c^7-6412164*c^6-3234231*c^5-1225455*c^4-316470*c^3-65142*c^ 2-6237*c-693)/(c+1)^14, 0, -638512875*c*(2261*c^14+96254*c^13+546397*c^12+ 1624956*c^11+3110897*c^10+4183938*c^9+4131545*c^8+3073224*c^7+1743951*c^6+ 757218*c^5+251559*c^4+59004*c^3+10923*c^2+990*c+99)/(c+1)^15, 0], [31185*(65*c^ 4+52*c^3+30*c^2+4*c+1)/(c+1)^4, 0, 31185*(273*c^6+214*c^5+295*c^4+84*c^3+55*c^2 +6*c+1)/(c+1)^6, 0, 31185*(1155*c^8+2856*c^7+4476*c^6+2600*c^5+2114*c^4+600*c^3 +252*c^2+24*c+3)/(c+1)^8, 0, 467775*(273*c^10+1946*c^9+4293*c^8+5496*c^7+5050*c ^6+2892*c^5+1530*c^4+408*c^3+117*c^2+10*c+1)/(c+1)^10, 0, 467775*(455*c^12+ 13988*c^11+55606*c^10+121604*c^9+169833*c^8+163912*c^7+112308*c^6+54824*c^5+ 21161*c^4+5012*c^3+1078*c^2+84*c+7)/(c+1)^12, 0, -467775*(1105*c^13-48243*c^12-\ 510042*c^11-1772154*c^10-3328245*c^9-4007385*c^8-3319932*c^7-1977948*c^6-842121 *c^5-283605*c^4-59850*c^3-11466*c^2-819*c-63)/(c+1)^13, 0, 1403325*(4199*c^14-\ 107406*c^13+2291653*c^12+12041172*c^11+27996903*c^10+39554526*c^9+38150541*c^8+ 26369112*c^7+13463373*c^6+5027022*c^5+1486023*c^4+283668*c^3+48741*c^2+3234*c+ 231)/(c+1)^14, 0, -127702575*(1615*c^15-84303*c^14-1108689*c^13-4687519*c^12-\ 10812285*c^11-16183299*c^10-17034237*c^9-13173171*c^8-7647651*c^7-3372765*c^6-\ 1116291*c^5-292941*c^4-51183*c^3-7953*c^2-495*c-33)/(c+1)^15, 0, 638512875*( 52003*c^16+2418624*c^15+15116400*c^14+49077776*c^13+102629220*c^12+151333248*c^ 11+164973072*c^10+136710288*c^9+87465906*c^8+43509312*c^7+16826832*c^6+4994352* c^5+1177572*c^4+190080*c^3+26928*c^2+1584*c+99)/(c+1)^16], [0, -405405*c*(45*c^ 4+24*c^3+18*c^2+1)/(c+1)^5, 0, -405405*c*(231*c^6+270*c^5+405*c^4+124*c^3+81*c^ 2+6*c+3)/(c+1)^7, 0, -2027025*c*(231*c^8+756*c^7+1296*c^6+1060*c^5+846*c^4+284* c^3+120*c^2+12*c+3)/(c+1)^9, 0, 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405405*(3003*c^8+5016*c^7+7716*c^6+3592*c^5+2762*c^4+648*c^3+276*c^2+24*c+3)/(c +1)^8, 0, 6081075*(1155*c^10+4746*c^9+9125*c^8+9464*c^7+7918*c^6+3772*c^5+1898* c^4+440*c^3+127*c^2+10*c+1)/(c+1)^10, 0, 42567525*(765*c^12+7540*c^11+22134*c^ 10+37756*c^9+43911*c^8+36296*c^7+22596*c^6+9784*c^5+3611*c^4+772*c^3+166*c^2+12 *c+1)/(c+1)^12, 0, 42567525*(1615*c^14+62390*c^13+318543*c^12+861828*c^11+ 1499307*c^10+1824210*c^9+1615515*c^8+1065432*c^7+528237*c^6+195258*c^5+57165*c^ 4+10980*c^3+1881*c^2+126*c+9)/(c+1)^14, 0, -127702575*(1615*c^15-84303*c^14-\ 1108689*c^13-4687519*c^12-10812285*c^11-16183299*c^10-17034237*c^9-13173171*c^8 -7647651*c^7-3372765*c^6-1116291*c^5-292941*c^4-51183*c^3-7953*c^2-495*c-33)/(c +1)^15, 0, 127702575*(22287*c^16-665380*c^15+16742382*c^14+107411304*c^13+ 303209998*c^12+525585060*c^11+630131502*c^10+553183488*c^9+366848196*c^8+ 186421092*c^7+73075002*c^6+21789768*c^5+5159154*c^4+828828*c^3+117546*c^2+6864* c+429)/(c+1)^16, 0, -638512875*(185725*c^17-11284651*c^16-177392892*c^15-\ 886331380*c^14-2429384048*c^13-4361161896*c^12-5579153580*c^11-5330151684*c^10-\ 3907293390*c^9-2231464950*c^8-998686260*c^7-350233884*c^6-94822728*c^5-20420400 *c^4-3042468*c^3-396396*c^2-21879*c-1287)/(c+1)^17], [0, -2027025*c*(187*c^4+88 *c^3+66*c^2+3)/(c+1)^5, 0, -6081075*c*(429*c^6+374*c^5+561*c^4+148*c^3+95*c^2+6 *c+3)/(c+1)^7, 0, -6081075*c*(3003*c^8+6732*c^7+10928*c^6+7332*c^5+5598*c^4+ 1620*c^3+680*c^2+60*c+15)/(c+1)^9, 0, -42567525*c*(2805*c^10+13938*c^9+30291*c^ 8+37584*c^7+34506*c^6+20964*c^5+11054*c^4+3200*c^3+945*c^2+90*c+15)/(c+1)^11, 0 , -127702575*c*(4845*c^12+54400*c^11+181026*c^10+347560*c^9+452899*c^8+425376*c ^7+299484*c^6+155952*c^5+63459*c^4+16800*c^3+3810*c^2+360*c+45)/(c+1)^13, 0, -\ 638512875*c*(2261*c^14+96254*c^13+546397*c^12+1624956*c^11+3110897*c^10+4183938 *c^9+4131545*c^8+3073224*c^7+1743951*c^6+757218*c^5+251559*c^4+59004*c^3+10923* c^2+990*c+99)/(c+1)^15, 0, 638512875*c*(7429*c^15-419577*c^14-6057219*c^13-\ 27929113*c^12-70468047*c^11-115948677*c^10-135146583*c^9-116767365*c^8-76673025 *c^7-38770875*c^6-15113241*c^5-4546971*c^4-978549*c^3-166023*c^2-14157*c-1287)/ (c+1)^16, 0, -1915538625*c*(37145*c^16-1188640*c^15+32180490*c^14+225059940*c^ 13+692074250*c^12+1311698024*c^11+1728592138*c^10+1680294044*c^9+1244978020*c^8 +715537680*c^7+321663342*c^6+112876764*c^5+30852822*c^4+6126120*c^3+956670*c^2+ 77220*c+6435)/(c+1)^17, 0], [2027025*(323*c^4+204*c^3+114*c^2+12*c+3)/(c+1)^4, 0, 2027025*(2431*c^6+1218*c^5+1589*c^4+300*c^3+201*c^2+18*c+3)/(c+1)^6, 0, 6081075*(6435*c^8+8008*c^7+12204*c^6+4776*c^5+3522*c^4+696*c^3+300*c^2+24*c+3)/ (c+1)^8, 0, 6081075*(51051*c^10+145926*c^9+257307*c^8+225480*c^7+177198*c^6+ 72180*c^5+34870*c^4+7080*c^3+2055*c^2+150*c+15)/(c+1)^10, 0, 42567525*(53295*c^ 12+311508*c^11+764142*c^10+1097700*c^9+1123713*c^8+811944*c^7+467972*c^6+180840 *c^5+64225*c^4+12420*c^3+2670*c^2+180*c+15)/(c+1)^12, 0, 638512875*(20349*c^14+ 256462*c^13+956811*c^12+2045628*c^11+2962925*c^10+3114882*c^9+2464803*c^8+ 1479816*c^7+686655*c^6+234738*c^5+66249*c^4+11772*c^3+2007*c^2+126*c+9)/(c+1)^ 14, 0, 638512875*(52003*c^16+2418624*c^15+15116400*c^14+49077776*c^13+102629220 *c^12+151333248*c^11+164973072*c^10+136710288*c^9+87465906*c^8+43509312*c^7+ 16826832*c^6+4994352*c^5+1177572*c^4+190080*c^3+26928*c^2+1584*c+99)/(c+1)^16, 0, -638512875*(185725*c^17-11284651*c^16-177392892*c^15-886331380*c^14-\ 2429384048*c^13-4361161896*c^12-5579153580*c^11-5330151684*c^10-3907293390*c^9-\ 2231464950*c^8-998686260*c^7-350233884*c^6-94822728*c^5-20420400*c^4-3042468*c^ 3-396396*c^2-21879*c-1287)/(c+1)^17, 0, 1915538625*(1002915*c^18-34247690*c^17+ 992625835*c^16+7514866320*c^15+25014625180*c^14+51484444648*c^13+74012932812*c^ 12+78958772464*c^11+64688736970*c^10+41505930180*c^9+21074258634*c^8+8489800176 *c^7+2706555852*c^6+672071400*c^5+132947100*c^4+18429840*c^3+2220075*c^2+115830 *c+6435)/(c+1)^18]], [[0, -15*c/(c+1), 0, 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945*c*(165*c^6+436*c^5+733*c^4+560*c^3+335*c^2+60*c+15)/(c+1)^7, 0, -51975*c*( 91*c^6+148*c^5+213*c^4+128*c^3+77*c^2+12*c+3)/(c+1)^7, 0, -2027025*c*(63*c^6+76 *c^5+99*c^4+48*c^3+29*c^2+4*c+1)/(c+1)^7, 0, -2027025*c*(1683*c^6+1636*c^5+1993 *c^4+800*c^3+485*c^2+60*c+15)/(c+1)^7, 0], [-15*c*(7*c^2+6*c+3)/(c+1)^3, 0, -15 *c*(3*c^4+14*c^3+22*c^2+6*c+3)/(c+1)^5, 0, 45*c*(c^5-15*c^4-6*c^3-22*c^2-3*c-3) /(c+1)^6, 0, -45*c*(7*c^6-128*c^5-135*c^4-160*c^3+65*c^2+15)/(c+1)^7, 0, 315*c* (45*c^7+619*c^6+1157*c^5+1035*c^4+575*c^3+25*c^2+15*c-15)/(c+1)^8, 0, 14175*c*( 77*c^7+321*c^6+543*c^5+395*c^4+235*c^3+23*c^2+9*c-3)/(c+1)^8, 0, 155925*c*(273* c^7+651*c^6+1029*c^5+623*c^4+379*c^3+41*c^2+15*c-3)/(c+1)^8, 0, 2027025*c*(693* c^7+1149*c^6+1731*c^5+891*c^4+547*c^3+59*c^2+21*c-3)/(c+1)^8, 0, 6081075*c*( 7293*c^7+9251*c^6+13453*c^5+5995*c^4+3695*c^3+385*c^2+135*c-15)/(c+1)^8], [0, -\ 15*c*(7*c^4+8*c^3+6*c^2+3)/(c+1)^5, 0, 45*c*(c^5-15*c^4-6*c^3-22*c^2-3*c-3)/(c+ 1)^6, 0, -45*c*(3*c^6-34*c^5+273*c^4+180*c^3+205*c^2+30*c+15)/(c+1)^7, 0, 315*c *(5*c^7-113*c^6-447*c^5-869*c^4-505*c^3-315*c^2-45*c-15)/(c+1)^8, 0, -2835*c*( 35*c^8+660*c^7+1552*c^6+2292*c^5+2118*c^4+1020*c^3+440*c^2+60*c+15)/(c+1)^9, 0, -155925*c*(63*c^8+364*c^7+688*c^6+724*c^5+614*c^4+244*c^3+104*c^2+12*c+3)/(c+1) ^9, 0, -2027025*c*(231*c^8+756*c^7+1296*c^6+1060*c^5+846*c^4+284*c^3+120*c^2+12 *c+3)/(c+1)^9, 0, -6081075*c*(3003*c^8+6732*c^7+10928*c^6+7332*c^5+5598*c^4+ 1620*c^3+680*c^2+60*c+15)/(c+1)^9, 0], [-15*c*(63*c^4+140*c^3+130*c^2+60*c+15)/ (c+1)^5, 0, 15*c*(7*c^5-123*c^4-210*c^3-190*c^2-45*c-15)/(c+1)^6, 0, -45*c*(3*c ^6-34*c^5+273*c^4+180*c^3+205*c^2+30*c+15)/(c+1)^7, 0, 225*c*(c-1)*(3*c^6-34*c^ 5+273*c^4+180*c^3+205*c^2+30*c+15)/(c+1)^8, 0, -1575*c*(7*c^8-192*c^7-1164*c^6-\ 1952*c^5-942*c^4-480*c^3+100*c^2+15)/(c+1)^9, 0, 14175*c*(63*c^9+1505*c^8+4460* c^7+7700*c^6+7130*c^5+3462*c^4+1260*c^3+20*c^2+15*c-15)/(c+1)^10, 0, 155925*c*( 693*c^9+5145*c^8+11340*c^7+14940*c^6+13270*c^5+5902*c^4+2300*c^3+140*c^2+45*c-\ 15)/(c+1)^10, 0, 2027025*c*(3003*c^9+12705*c^8+24300*c^7+25540*c^6+21730*c^5+ 8742*c^4+3500*c^3+260*c^2+75*c-15)/(c+1)^10, 0, 30405375*c*(9009*c^9+26169*c^8+ 46156*c^7+40204*c^6+32926*c^5+11982*c^4+4860*c^3+380*c^2+105*c-15)/(c+1)^10], [ 0, 45*c*(21*c^5+35*c^4+30*c^3+10*c^2+5*c-5)/(c+1)^6, 0, -45*c*(7*c^6-128*c^5-\ 135*c^4-160*c^3+65*c^2+15)/(c+1)^7, 0, 225*c*(c-1)*(3*c^6-34*c^5+273*c^4+180*c^ 3+205*c^2+30*c+15)/(c+1)^8, 0, -4725*c*(c^8-14*c^7+140*c^6+118*c^5+298*c^4+110* c^3+100*c^2+10*c+5)/(c+1)^9, 0, 14175*c*(7*c^9-227*c^8-1824*c^7-3504*c^6-3234*c ^5-2598*c^4-920*c^3-440*c^2-45*c-15)/(c+1)^10, 0, -155925*c*(63*c^10+1820*c^9+ 6595*c^8+12960*c^7+14190*c^6+10152*c^5+5550*c^4+1760*c^3+595*c^2+60*c+15)/(c+1) ^11, 0, -6081075*c*(231*c^10+2100*c^9+5425*c^8+8400*c^7+8350*c^6+5144*c^5+2650* c^4+720*c^3+235*c^2+20*c+5)/(c+1)^11, 0, -30405375*c*(3003*c^10+15708*c^9+34035 *c^8+43200*c^7+39990*c^6+21672*c^5+10718*c^4+2560*c^3+815*c^2+60*c+15)/(c+1)^11 , 0], [-315*c*(33*c^4+60*c^3+50*c^2+20*c+5)/(c+1)^5, 0, -315*c*(9*c^6+76*c^5+ 163*c^4+160*c^3+95*c^2+20*c+5)/(c+1)^7, 0, 315*c*(5*c^7-113*c^6-447*c^5-869*c^4 -505*c^3-315*c^2-45*c-15)/(c+1)^8, 0, -4725*c*(c^8-14*c^7+140*c^6+118*c^5+298*c ^4+110*c^3+100*c^2+10*c+5)/(c+1)^9, 0, 4725*c*(9*c^9-143*c^8+1696*c^7+2632*c^6+ 3682*c^5+154*c^4+280*c^3-560*c^2-35*c-35)/(c+1)^10, 0, -14175*c*(77*c^10-2888*c ^9-28755*c^8-64920*c^7-75390*c^6-56952*c^5-19222*c^4-6440*c^3+945*c^2+105)/(c+1 )^11, 0, 467775*c*(273*c^11+9247*c^10+39831*c^9+88425*c^8+113010*c^7+95662*c^6+ 54838*c^5+18634*c^4+5005*c^3+35*c^2+35*c-35)/(c+1)^12, 0, 42567525*c*(495*c^11+ 5331*c^10+16003*c^9+28335*c^8+32030*c^7+24150*c^6+13454*c^5+4342*c^4+1235*c^3+ 55*c^2+15*c-5)/(c+1)^12, 0, 212837625*c*(7293*c^11+45639*c^10+112335*c^9+165789 *c^8+170586*c^7+115086*c^6+62134*c^5+18786*c^4+5465*c^3+315*c^2+75*c-15)/(c+1)^ 12], [0, 315*c*(99*c^5+135*c^4+110*c^3+30*c^2+15*c-5)/(c+1)^6, 0, 315*c*(45*c^7 +619*c^6+1157*c^5+1035*c^4+575*c^3+25*c^2+15*c-15)/(c+1)^8, 0, -1575*c*(7*c^8-\ 192*c^7-1164*c^6-1952*c^5-942*c^4-480*c^3+100*c^2+15)/(c+1)^9, 0, 4725*c*(9*c^9 -143*c^8+1696*c^7+2632*c^6+3682*c^5+154*c^4+280*c^3-560*c^2-35*c-35)/(c+1)^10, 0, -14175*c*(33*c^10-590*c^9+8117*c^8+17784*c^7+24402*c^6+14028*c^5+13986*c^4+ 3640*c^3+2765*c^2+210*c+105)/(c+1)^11, 0, 155925*c*(91*c^11-3879*c^10-45975*c^9 -120925*c^8-166050*c^7-143766*c^6-79646*c^5-39690*c^4-10185*c^3-3955*c^2-315*c-\ 105)/(c+1)^12, 0, -6081075*c*(315*c^12+12236*c^11+61238*c^10+152540*c^9+223165* c^8+217240*c^7+145684*c^6+69272*c^5+26565*c^4+6300*c^3+1750*c^2+140*c+35)/(c+1) ^13, 0, -212837625*c*(1683*c^12+20964*c^11+72234*c^10+144108*c^9+184425*c^8+ 161832*c^7+102396*c^6+44440*c^5+16213*c^4+3380*c^3+890*c^2+60*c+15)/(c+1)^13, 0 ], [-945*c*(143*c^4+220*c^3+170*c^2+60*c+15)/(c+1)^5, 0, -945*c*(165*c^6+436*c^ 5+733*c^4+560*c^3+335*c^2+60*c+15)/(c+1)^7, 0, -2835*c*(35*c^8+660*c^7+1552*c^6 +2292*c^5+2118*c^4+1020*c^3+440*c^2+60*c+15)/(c+1)^9, 0, 14175*c*(7*c^9-227*c^8 -1824*c^7-3504*c^6-3234*c^5-2598*c^4-920*c^3-440*c^2-45*c-15)/(c+1)^10, 0, -\ 14175*c*(33*c^10-590*c^9+8117*c^8+17784*c^7+24402*c^6+14028*c^5+13986*c^4+3640* c^3+2765*c^2+210*c+105)/(c+1)^11, 0, 42525*c*(143*c^11-2849*c^10+44633*c^9+ 125145*c^8+188310*c^7+152502*c^6+102354*c^5+10962*c^4+5355*c^3-6405*c^2-315*c-\ 315)/(c+1)^12, 0, -467775*c*(455*c^12-21736*c^11-298494*c^10-901728*c^9-1426515 *c^8-1424880*c^7-961044*c^6-472416*c^5-124047*c^4-31080*c^3+3570*c^2+315)/(c+1) ^13, 0, 42567525*c*(765*c^13+33515*c^12+191386*c^11+531006*c^10+875619*c^9+ 965805*c^8+747180*c^7+419844*c^6+173139*c^5+45621*c^4+9690*c^3+30*c^2+45*c-45)/ (c+1)^14, 0, 638512875*c*(10659*c^13+150807*c^12+589114*c^11+1310890*c^10+ 1881793*c^9+1876677*c^8+1353852*c^7+709116*c^6+285237*c^5+72561*c^4+16170*c^3+ 570*c^2+135*c-45)/(c+1)^14], [0, 4725*c*(143*c^5+165*c^4+130*c^3+30*c^2+15*c-3) /(c+1)^6, 0, 14175*c*(77*c^7+321*c^6+543*c^5+395*c^4+235*c^3+23*c^2+9*c-3)/(c+1 )^8, 0, 14175*c*(63*c^9+1505*c^8+4460*c^7+7700*c^6+7130*c^5+3462*c^4+1260*c^3+ 20*c^2+15*c-15)/(c+1)^10, 0, -14175*c*(77*c^10-2888*c^9-28755*c^8-64920*c^7-\ 75390*c^6-56952*c^5-19222*c^4-6440*c^3+945*c^2+105)/(c+1)^11, 0, 42525*c*(143*c ^11-2849*c^10+44633*c^9+125145*c^8+188310*c^7+152502*c^6+102354*c^5+10962*c^4+ 5355*c^3-6405*c^2-315*c-315)/(c+1)^12, 0, -2338875*c*(39*c^12-858*c^11+15082*c^ 10+51334*c^9+86865*c^8+85836*c^7+61068*c^6+25788*c^5+15561*c^4+3150*c^3+2058*c^ 2+126*c+63)/(c+1)^13, 0, 30405375*c*(119*c^13-6299*c^12-98286*c^11-336354*c^10-\ 603051*c^9-686889*c^8-538836*c^7-305004*c^6-122031*c^5-43869*c^4-8862*c^3-2898* c^2-189*c-63)/(c+1)^14, 0, -638512875*c*(969*c^14+47260*c^13+303495*c^12+931040 *c^11+1709785*c^10+2111900*c^9+1853775*c^8+1197600*c^7+576195*c^6+206100*c^5+ 60669*c^4+11520*c^3+2715*c^2+180*c+45)/(c+1)^15, 0], [-51975*c*(39*c^4+52*c^3+ 38*c^2+12*c+3)/(c+1)^5, 0, -51975*c*(91*c^6+148*c^5+213*c^4+128*c^3+77*c^2+12*c +3)/(c+1)^7, 0, -155925*c*(63*c^8+364*c^7+688*c^6+724*c^5+614*c^4+244*c^3+104*c ^2+12*c+3)/(c+1)^9, 0, -155925*c*(63*c^10+1820*c^9+6595*c^8+12960*c^7+14190*c^6 +10152*c^5+5550*c^4+1760*c^3+595*c^2+60*c+15)/(c+1)^11, 0, 155925*c*(91*c^11-\ 3879*c^10-45975*c^9-120925*c^8-166050*c^7-143766*c^6-79646*c^5-39690*c^4-10185* c^3-3955*c^2-315*c-105)/(c+1)^12, 0, -2338875*c*(39*c^12-858*c^11+15082*c^10+ 51334*c^9+86865*c^8+85836*c^7+61068*c^6+25788*c^5+15561*c^4+3150*c^3+2058*c^2+ 126*c+63)/(c+1)^13, 0, 2338875*c*(663*c^13-15977*c^12+311402*c^11+1244298*c^10+ 2370621*c^9+2725437*c^8+2184732*c^7+1198428*c^6+537537*c^5+64449*c^4+19866*c^3-\ 17094*c^2-693*c-693)/(c+1)^14, 0, -212837625*c*(323*c^14-18768*c^13-327831*c^12 -1255664*c^11-2520045*c^10-3232416*c^9-2888127*c^8-1878624*c^7-901791*c^6-\ 330000*c^5-71181*c^4-14256*c^3+1353*c^2+99)/(c+1)^15, 0, 638512875*c*(20349*c^ 15+1093355*c^14+7803425*c^13+26283695*c^12+53240665*c^11+72912895*c^10+71651965 *c^9+52373475*c^8+28959975*c^7+12212145*c^6+3931059*c^5+848925*c^4+148995*c^3+ 165*c^2+495*c-495)/(c+1)^16], [0, 155925*c*(91*c^5+91*c^4+70*c^3+14*c^2+7*c-1)/ (c+1)^6, 0, 155925*c*(273*c^7+651*c^6+1029*c^5+623*c^4+379*c^3+41*c^2+15*c-3)/( c+1)^8, 0, 155925*c*(693*c^9+5145*c^8+11340*c^7+14940*c^6+13270*c^5+5902*c^4+ 2300*c^3+140*c^2+45*c-15)/(c+1)^10, 0, 467775*c*(273*c^11+9247*c^10+39831*c^9+ 88425*c^8+113010*c^7+95662*c^6+54838*c^5+18634*c^4+5005*c^3+35*c^2+35*c-35)/(c+ 1)^12, 0, -467775*c*(455*c^12-21736*c^11-298494*c^10-901728*c^9-1426515*c^8-\ 1424880*c^7-961044*c^6-472416*c^5-124047*c^4-31080*c^3+3570*c^2+315)/(c+1)^13, 0, 2338875*c*(663*c^13-15977*c^12+311402*c^11+1244298*c^10+2370621*c^9+2725437* c^8+2184732*c^7+1198428*c^6+537537*c^5+64449*c^4+19866*c^3-17094*c^2-693*c-693) /(c+1)^14, 0, -91216125*c*(323*c^14-8466*c^13+181197*c^12+830428*c^11+1770747*c ^10+2313234*c^9+2096061*c^8+1356168*c^7+666897*c^6+221298*c^5+94479*c^4+15708*c ^3+9009*c^2+462*c+231)/(c+1)^15, 0, 638512875*c*(2261*c^15-143089*c^14-2765475* c^13-11733425*c^12-26094815*c^11-37280925*c^10-37405335*c^9-27592125*c^8-\ 15300945*c^7-6469155*c^6-2032569*c^5-570339*c^4-95205*c^3-26895*c^2-1485*c-495) /(c+1)^16, 0], [-2027025*c*(17*c^4+20*c^3+14*c^2+4*c+1)/(c+1)^5, 0, -2027025*c* (63*c^6+76*c^5+99*c^4+48*c^3+29*c^2+4*c+1)/(c+1)^7, 0, -2027025*c*(231*c^8+756* c^7+1296*c^6+1060*c^5+846*c^4+284*c^3+120*c^2+12*c+3)/(c+1)^9, 0, -6081075*c*( 231*c^10+2100*c^9+5425*c^8+8400*c^7+8350*c^6+5144*c^5+2650*c^4+720*c^3+235*c^2+ 20*c+5)/(c+1)^11, 0, -6081075*c*(315*c^12+12236*c^11+61238*c^10+152540*c^9+ 223165*c^8+217240*c^7+145684*c^6+69272*c^5+26565*c^4+6300*c^3+1750*c^2+140*c+35 )/(c+1)^13, 0, 30405375*c*(119*c^13-6299*c^12-98286*c^11-336354*c^10-603051*c^9 -686889*c^8-538836*c^7-305004*c^6-122031*c^5-43869*c^4-8862*c^3-2898*c^2-189*c-\ 63)/(c+1)^14, 0, -91216125*c*(323*c^14-8466*c^13+181197*c^12+830428*c^11+ 1770747*c^10+2313234*c^9+2096061*c^8+1356168*c^7+666897*c^6+221298*c^5+94479*c^ 4+15708*c^3+9009*c^2+462*c+231)/(c+1)^15, 0, 638512875*c*(969*c^15-27455*c^14+ 640101*c^13+3307317*c^12+7832045*c^11+11453013*c^10+11640057*c^9+8606169*c^8+ 4807803*c^7+1996995*c^6+677391*c^5+80223*c^4+18447*c^3-12441*c^2-429*c-429)/(c+ 1)^16, 0, -638512875*c*(52003*c^16-3560752*c^15-75426960*c^14-351391360*c^13-\ 858663260*c^12-1353671280*c^11-1508398320*c^10-1246227840*c^9-783486990*c^8-\ 380025360*c^7-142105392*c^6-41513472*c^5-7610460*c^4-1269840*c^3+102960*c^2+ 6435)/(c+1)^17], [0, 2027025*c*(153*c^5+135*c^4+102*c^3+18*c^2+9*c-1)/(c+1)^6, 0, 2027025*c*(693*c^7+1149*c^6+1731*c^5+891*c^4+547*c^3+59*c^2+21*c-3)/(c+1)^8, 0, 2027025*c*(3003*c^9+12705*c^8+24300*c^7+25540*c^6+21730*c^5+8742*c^4+3500*c^ 3+260*c^2+75*c-15)/(c+1)^10, 0, 42567525*c*(495*c^11+5331*c^10+16003*c^9+28335* c^8+32030*c^7+24150*c^6+13454*c^5+4342*c^4+1235*c^3+55*c^2+15*c-5)/(c+1)^12, 0, 42567525*c*(765*c^13+33515*c^12+191386*c^11+531006*c^10+875619*c^9+965805*c^8+ 747180*c^7+419844*c^6+173139*c^5+45621*c^4+9690*c^3+30*c^2+45*c-45)/(c+1)^14, 0 , -212837625*c*(323*c^14-18768*c^13-327831*c^12-1255664*c^11-2520045*c^10-\ 3232416*c^9-2888127*c^8-1878624*c^7-901791*c^6-330000*c^5-71181*c^4-14256*c^3+ 1353*c^2+99)/(c+1)^15, 0, 638512875*c*(969*c^15-27455*c^14+640101*c^13+3307317* c^12+7832045*c^11+11453013*c^10+11640057*c^9+8606169*c^8+4807803*c^7+1996995*c^ 6+677391*c^5+80223*c^4+18447*c^3-12441*c^2-429*c-429)/(c+1)^16, 0, -638512875*c *(22287*c^16-678946*c^15+17126752*c^14+98449890*c^13+256907560*c^12+415936430*c ^11+469789320*c^10+390222690*c^9+246361830*c^8+119111850*c^7+45117072*c^6+ 12306294*c^5+4036032*c^4+570570*c^3+291720*c^2+12870*c+6435)/(c+1)^17, 0], [-\ 2027025*c*(323*c^4+340*c^3+230*c^2+60*c+15)/(c+1)^5, 0, -2027025*c*(1683*c^6+ 1636*c^5+1993*c^4+800*c^3+485*c^2+60*c+15)/(c+1)^7, 0, 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+570570*c^3+291720*c^2+12870*c+6435)/(c+1)^17, 0, 9577693125*c*(37145*c^17-\ 1210927*c^16+32859436*c^15+207933188*c^14+593624360*c^13+1054790464*c^12+ 1312655708*c^11+1210504724*c^10+854755330*c^9+469175850*c^8+202551492*c^7+ 67759692*c^6+18546528*c^5+2090088*c^4+386100*c^3-214500*c^2-6435*c-6435)/(c+1)^ 18], [0, 2027025*c*(3553*c^5+2805*c^4+2090*c^3+330*c^2+165*c-15)/(c+1)^6, 0, 6081075*c*(7293*c^7+9251*c^6+13453*c^5+5995*c^4+3695*c^3+385*c^2+135*c-15)/(c+1 )^8, 0, 30405375*c*(9009*c^9+26169*c^8+46156*c^7+40204*c^6+32926*c^5+11982*c^4+ 4860*c^3+380*c^2+105*c-15)/(c+1)^10, 0, 212837625*c*(7293*c^11+45639*c^10+ 112335*c^9+165789*c^8+170586*c^7+115086*c^6+62134*c^5+18786*c^4+5465*c^3+315*c^ 2+75*c-15)/(c+1)^12, 0, 638512875*c*(10659*c^13+150807*c^12+589114*c^11+1310890 *c^10+1881793*c^9+1876677*c^8+1353852*c^7+709116*c^6+285237*c^5+72561*c^4+16170 *c^3+570*c^2+135*c-45)/(c+1)^14, 0, 638512875*c*(20349*c^15+1093355*c^14+ 7803425*c^13+26283695*c^12+53240665*c^11+72912895*c^10+71651965*c^9+52373475*c^ 8+28959975*c^7+12212145*c^6+3931059*c^5+848925*c^4+148995*c^3+165*c^2+495*c-495 )/(c+1)^16, 0, -638512875*c*(52003*c^16-3560752*c^15-75426960*c^14-351391360*c^ 13-858663260*c^12-1353671280*c^11-1508398320*c^10-1246227840*c^9-783486990*c^8-\ 380025360*c^7-142105392*c^6-41513472*c^5-7610460*c^4-1269840*c^3+102960*c^2+ 6435)/(c+1)^17, 0, 9577693125*c*(37145*c^17-1210927*c^16+32859436*c^15+ 207933188*c^14+593624360*c^13+1054790464*c^12+1312655708*c^11+1210504724*c^10+ 854755330*c^9+469175850*c^8+202551492*c^7+67759692*c^6+18546528*c^5+2090088*c^4 +386100*c^3-214500*c^2-6435*c-6435)/(c+1)^18, 0]], [[15, 0, 15*(7*c^2+2*c+1)/(c +1)^2, 0, 45*(21*c^4+28*c^3+18*c^2+4*c+1)/(c+1)^4, 0, 45*(231*c^6+630*c^5+735*c ^4+460*c^3+165*c^2+30*c+5)/(c+1)^6, 0, 315*(429*c^6+990*c^5+1035*c^4+580*c^3+ 195*c^2+30*c+5)/(c+1)^6, 0, 14175*(143*c^6+286*c^5+275*c^4+140*c^3+45*c^2+6*c+1 )/(c+1)^6, 0, 155925*(221*c^6+390*c^5+351*c^4+164*c^3+51*c^2+6*c+1)/(c+1)^6, 0, 2027025*(323*c^6+510*c^5+435*c^4+188*c^3+57*c^2+6*c+1)/(c+1)^6, 0, 6081075*( 2261*c^6+3230*c^5+2635*c^4+1060*c^3+315*c^2+30*c+5)/(c+1)^6], [0, 15*c*(5*c-1)/ (c+1)^2, 0, 45*c*(7*c^3+3*c^2+3*c-1)/(c+1)^4, 0, 45*c*(21*c^5+35*c^4+30*c^3+10* c^2+5*c-5)/(c+1)^6, 0, -315*c*(33*c^6+72*c^5+75*c^4+40*c^3+15*c^2+5)/(c+1)^7, 0 , -2835*c*(143*c^6+264*c^5+255*c^4+120*c^3+45*c^2+5)/(c+1)^7, 0, -155925*c*(65* c^6+104*c^5+95*c^4+40*c^3+15*c^2+1)/(c+1)^7, 0, -2027025*c*(119*c^6+168*c^5+147 *c^4+56*c^3+21*c^2+1)/(c+1)^7, 0, -6081075*c*(969*c^6+1224*c^5+1035*c^4+360*c^3 +135*c^2+5)/(c+1)^7, 0], [15*(7*c^2+2*c+1)/(c+1)^2, 0, 15*(15*c^4+8*c^3+20*c^2+ 4*c+1)/(c+1)^4, 0, 45*(7*c^6+46*c^5+83*c^4+60*c^3+37*c^2+6*c+1)/(c+1)^6, 0, -45 *(21*c^7-441*c^6-1005*c^5-1075*c^4-565*c^3-255*c^2-35*c-5)/(c+1)^7, 0, 315*(99* c^8+1020*c^7+2574*c^6+3120*c^5+2240*c^4+940*c^3+330*c^2+40*c+5)/(c+1)^8, 0, 14175*(143*c^8+484*c^7+910*c^6+896*c^5+600*c^4+212*c^3+74*c^2+8*c+1)/(c+1)^8, 0 , 155925*(455*c^8+988*c^7+1526*c^6+1232*c^5+784*c^4+236*c^3+82*c^2+8*c+1)/(c+1) ^8, 0, 2027025*(1071*c^8+1780*c^7+2414*c^6+1632*c^5+1000*c^4+260*c^3+90*c^2+8*c +1)/(c+1)^8, 0, 6081075*(10659*c^8+14620*c^7+18126*c^6+10480*c^5+6240*c^4+1420* c^3+490*c^2+40*c+5)/(c+1)^8], [0, 45*c*(7*c^3+3*c^2+3*c-1)/(c+1)^4, 0, 45*c*(5* c^5+39*c^4+48*c^3+4*c^2+3*c-3)/(c+1)^6, 0, -45*c*(7*c^6-128*c^5-135*c^4-160*c^3 +65*c^2+15)/(c+1)^7, 0, 945*c*(3*c^7-65*c^6-107*c^5-115*c^4-35*c^3-55*c^2-5*c-5 )/(c+1)^8, 0, -2835*c*(55*c^8+918*c^7+2088*c^6+2322*c^5+1530*c^4+570*c^3+280*c^ 2+30*c+15)/(c+1)^9, 0, -155925*c*(91*c^8+474*c^7+924*c^6+882*c^5+570*c^4+174*c^ 3+76*c^2+6*c+3)/(c+1)^9, 0, -6081075*c*(105*c^8+322*c^7+560*c^6+462*c^5+294*c^4 +78*c^3+32*c^2+2*c+1)/(c+1)^9, 0, -6081075*c*(3927*c^8+8586*c^7+13716*c^6+9882* c^5+6210*c^4+1470*c^3+580*c^2+30*c+15)/(c+1)^9, 0], [45*(21*c^4+28*c^3+18*c^2+4 *c+1)/(c+1)^4, 0, 45*(7*c^6+46*c^5+83*c^4+60*c^3+37*c^2+6*c+1)/(c+1)^6, 0, -45* (5*c^7-93*c^6-231*c^5-545*c^4-297*c^3-159*c^2-21*c-3)/(c+1)^7, 0, 135*(7*c^8-92 *c^7+906*c^6+1440*c^5+1900*c^4+820*c^3+350*c^2+40*c+5)/(c+1)^8, 0, -945*(15*c^9 -401*c^8-2136*c^7-4544*c^6-4490*c^5-3570*c^4-1280*c^3-440*c^2-45*c-5)/(c+1)^9, 0, 14175*(77*c^10+1758*c^9+5055*c^8+8616*c^7+9186*c^6+6516*c^5+3662*c^4+1128*c^ 3+321*c^2+30*c+3)/(c+1)^10, 0, 467775*(273*c^10+1946*c^9+4293*c^8+5496*c^7+5050 *c^6+2892*c^5+1530*c^4+408*c^3+117*c^2+10*c+1)/(c+1)^10, 0, 6081075*(1155*c^10+ 4746*c^9+9125*c^8+9464*c^7+7918*c^6+3772*c^5+1898*c^4+440*c^3+127*c^2+10*c+1)/( c+1)^10, 0, 6081075*(51051*c^10+145926*c^9+257307*c^8+225480*c^7+177198*c^6+ 72180*c^5+34870*c^4+7080*c^3+2055*c^2+150*c+15)/(c+1)^10], [0, 45*c*(21*c^5+35* c^4+30*c^3+10*c^2+5*c-5)/(c+1)^6, 0, -45*c*(7*c^6-128*c^5-135*c^4-160*c^3+65*c^ 2+15)/(c+1)^7, 0, 225*c*(c-1)*(3*c^6-34*c^5+273*c^4+180*c^3+205*c^2+30*c+15)/(c +1)^8, 0, 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6-17510*c^5-9410*c^4-2535*c^3-665*c^2-55*c-5)/(c+1)^11, 0, 42525*(77*c^12-1528* c^11+25560*c^10+136900*c^9+331425*c^8+409248*c^7+389928*c^6+211960*c^5+99855*c^ 4+23800*c^3+5600*c^2+420*c+35)/(c+1)^12, 0, -212625*(143*c^13-2673*c^12+27480*c ^11-313564*c^10-1106505*c^9-1916613*c^8-1888152*c^7-1421280*c^6-660051*c^5-\ 264075*c^4-56448*c^3-11844*c^2-819*c-63)/(c+1)^13, 0, 7016625*(91*c^14-2210*c^ 13+47427*c^12+364916*c^11+1096583*c^10+1838634*c^9+2046015*c^8+1554168*c^7+ 919569*c^6+367122*c^5+125097*c^4+24276*c^3+4557*c^2+294*c+21)/(c+1)^14, 0, -\ 638512875*(51*c^15-3191*c^14-64911*c^13-263689*c^12-605333*c^11-921895*c^10-\ 1007679*c^9-817089*c^8-497151*c^7-239997*c^6-83589*c^5-24627*c^4-4383*c^3-741*c ^2-45*c-3)/(c+1)^15, 0, 638512875*(10659*c^16+627300*c^15+4907130*c^14+16975160 *c^13+35484690*c^12+51637500*c^11+55642570*c^10+46153440*c^9+29831040*c^8+ 15158940*c^7+6195294*c^6+1911960*c^5+495390*c^4+81540*c^3+12510*c^2+720*c+45)/( c+1)^16], [0, 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c^15-24609*c^14+306969*c^13-4378441*c^12-21073107*c^11-45747933*c^10-60227211*c ^9-54932229*c^8-35532189*c^7-17974803*c^6-6354117*c^5-1906443*c^4-337953*c^3-\ 57519*c^2-3465*c-231)/(c+1)^15, 0, 638512875*(323*c^16-9316*c^15+244062*c^14+ 2434408*c^13+8961118*c^12+18692388*c^11+25857150*c^10+25405248*c^9+18547452*c^8 +10143012*c^7+4393290*c^6+1383624*c^5+367554*c^4+60060*c^3+9306*c^2+528*c+33)/( c+1)^16, 0, -1915538625*(6783*c^17-507433*c^16-12760540*c^15-64433780*c^14-\ 179054680*c^13-330450800*c^12-440064460*c^11-440469700*c^10-339392130*c^9-\ 203945610*c^8-95676372*c^7-36014748*c^6-10198320*c^5-2422200*c^4-367620*c^3-\ 52140*c^2-2805*c-165)/(c+1)^17], [0, -2027025*c*(119*c^6+168*c^5+147*c^4+56*c^3 +21*c^2+1)/(c+1)^7, 0, -6081075*c*(105*c^8+322*c^7+560*c^6+462*c^5+294*c^4+78*c ^3+32*c^2+2*c+1)/(c+1)^9, 0, -6081075*c*(231*c^10+2100*c^9+5425*c^8+8400*c^7+ 8350*c^6+5144*c^5+2650*c^4+720*c^3+235*c^2+20*c+5)/(c+1)^11, 0, -6081075*c*(231 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95676372*c^7-36014748*c^6-10198320*c^5-2422200*c^4-367620*c^3-52140*c^2-2805*c-\ 165)/(c+1)^17, 0, 1915538625*(52003*c^18-1739678*c^17+53812769*c^16+658113520*c ^15+2889270820*c^14+7218771560*c^13+12033543340*c^12+14447633200*c^11+ 13053398930*c^10+9093075420*c^9+4961051238*c^8+2120104272*c^7+727771044*c^6+ 189189000*c^5+41141100*c^4+5800080*c^3+761475*c^2+38610*c+2145)/(c+1)^18, 0, -\ 9577693125*(185725*c^19-5504889*c^18+93123807*c^17-1853630139*c^16-13533511980* c^15-42745774980*c^14-83492394804*c^13-114235554108*c^12-116295338874*c^11-\ 91181039950*c^10-56098541070*c^9-27395748666*c^8-10602867132*c^7-3311744436*c^6 -792663300*c^5-158240940*c^4-20855835*c^3-2541825*c^2-122265*c-6435)/(c+1)^19]] , [[0, -105*c/(c+1), 0, -315*c*(3*c^2+2*c+1)/(c+1)^3, 0, -315*c*(33*c^4+60*c^3+ 50*c^2+20*c+5)/(c+1)^5, 0, -315*c*(429*c^6+1386*c^5+1953*c^4+1540*c^3+735*c^2+ 210*c+35)/(c+1)^7, 0, -2835*c*(715*c^6+2002*c^5+2541*c^4+1820*c^3+805*c^2+210*c +35)/(c+1)^7, 0, 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c*(10659*c^9+29223*c^8+50958*c^7+46458*c^6+32004*c^5+11880*c^4+4450*c^3+390*c^2 +105*c-15)/(c+1)^10], [0, -315*c*(9*c^4+8*c^3+6*c^2+1)/(c+1)^5, 0, -315*c*(5*c^ 6+54*c^5+81*c^4+52*c^3+39*c^2+6*c+3)/(c+1)^7, 0, 315*c*(5*c^7-113*c^6-447*c^5-\ 869*c^4-505*c^3-315*c^2-45*c-15)/(c+1)^8, 0, -945*c*(9*c^8-136*c^7+1598*c^6+ 3612*c^5+4508*c^4+2240*c^3+1050*c^2+140*c+35)/(c+1)^9, 0, 2835*c*(55*c^9-1701*c ^8-11328*c^7-27408*c^6-33810*c^5-27258*c^4-11480*c^3-4200*c^2-525*c-105)/(c+1)^ 10, 0, -155925*c*(91*c^10+2438*c^9+8337*c^8+16176*c^7+19878*c^6+16716*c^5+9898* c^4+3584*c^3+1071*c^2+126*c+21)/(c+1)^11, 0, -6081075*c*(315*c^10+2674*c^9+6843 *c^8+10224*c^7+10550*c^6+7476*c^5+4158*c^4+1344*c^3+399*c^2+42*c+7)/(c+1)^11, 0 , -42567525*c*(2805*c^10+13938*c^9+30291*c^8+37584*c^7+34506*c^6+20964*c^5+ 11054*c^4+3200*c^3+945*c^2+90*c+15)/(c+1)^11, 0], [-315*c*(33*c^4+60*c^3+50*c^2 +20*c+5)/(c+1)^5, 0, -315*c*(9*c^6+76*c^5+163*c^4+160*c^3+95*c^2+20*c+5)/(c+1)^ 7, 0, 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4725*c*(5*c^9-69*c^8+498*c^7-3558*c^6-3948*c^5-5208*c^4-\ 1890*c^3-1050*c^2-105*c-35)/(c+1)^10, 0, -42525*c*(7*c^10-124*c^9+1783*c^8+7368 *c^7+16542*c^6+14448*c^5+11046*c^4+3640*c^3+1435*c^2+140*c+35)/(c+1)^11, 0, 467775*c*(21*c^11-931*c^10-12155*c^9-32255*c^8-52110*c^7-56286*c^6-37814*c^5-\ 20510*c^4-6055*c^3-1855*c^2-175*c-35)/(c+1)^12, 0, -6081075*c*(231*c^12+9450*c^ 11+49686*c^10+124570*c^9+184965*c^8+195204*c^7+148580*c^6+80724*c^5+34545*c^4+ 9170*c^3+2310*c^2+210*c+35)/(c+1)^13, 0, -638512875*c*(429*c^12+5610*c^11+19746 *c^10+39958*c^9+50955*c^8+46116*c^7+31820*c^6+15340*c^5+6243*c^4+1490*c^3+370*c ^2+30*c+5)/(c+1)^13, 0], [-315*c*(429*c^6+1386*c^5+1953*c^4+1540*c^3+735*c^2+ 210*c+35)/(c+1)^7, 0, 315*c*(33*c^7-807*c^6-2289*c^5-2933*c^4-2065*c^3-945*c^2-\ 175*c-35)/(c+1)^8, 0, -945*c*(9*c^8-136*c^7+1598*c^6+3612*c^5+4508*c^4+2240*c^3 +1050*c^2+140*c+35)/(c+1)^9, 0, 4725*c*(5*c^9-69*c^8+498*c^7-3558*c^6-3948*c^5-\ 5208*c^4-1890*c^3-1050*c^2-105*c-35)/(c+1)^10, 0, 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*c^8+498*c^7-3558*c^6-3948*c^5-5208*c^4-1890*c^3-1050*c^2-105*c-35)/(c+1)^11, 0 , 297675*c*(5*c^11-81*c^10+691*c^9-5839*c^8-7758*c^7-17802*c^6-11130*c^5-10206* c^4-2695*c^3-1365*c^2-105*c-35)/(c+1)^12, 0, -3274425*c*(9*c^12-200*c^11+4004*c ^10+30380*c^9+69785*c^8+82656*c^7+76320*c^6+40936*c^5+21595*c^4+5320*c^3+1820*c ^2+140*c+35)/(c+1)^13, 0, 42567525*c*(33*c^13-1923*c^12-36654*c^11-135494*c^10-\ 284545*c^9-365613*c^8-321412*c^7-212756*c^6-97041*c^5-38605*c^4-8750*c^3-2310*c ^2-175*c-35)/(c+1)^14, 0, -638512875*c*(429*c^14+23562*c^13+170541*c^12+539644* c^11+1033641*c^10+1367422*c^9+1283513*c^8+897384*c^7+479703*c^6+189798*c^5+ 62391*c^4+13020*c^3+2835*c^2+210*c+35)/(c+1)^15, 0], [-2835*c*(715*c^6+2002*c^5 +2541*c^4+1820*c^3+805*c^2+210*c+35)/(c+1)^7, 0, -2835*c*(143*c^8+1738*c^7+5076 *c^6+7294*c^5+6286*c^4+3430*c^3+1260*c^2+210*c+35)/(c+1)^9, 0, 2835*c*(55*c^9-\ 1701*c^8-11328*c^7-27408*c^6-33810*c^5-27258*c^4-11480*c^3-4200*c^2-525*c-105)/ (c+1)^10, 0, -42525*c*(7*c^10-124*c^9+1783*c^8+7368*c^7+16542*c^6+14448*c^5+ 11046*c^4+3640*c^3+1435*c^2+140*c+35)/(c+1)^11, 0, 297675*c*(5*c^11-81*c^10+691 *c^9-5839*c^8-7758*c^7-17802*c^6-11130*c^5-10206*c^4-2695*c^3-1365*c^2-105*c-35 )/(c+1)^12, 0, -297675*c*(55*c^12-978*c^11+9318*c^10-91874*c^9-192195*c^8-\ 313380*c^7-126012*c^6-75348*c^5+39249*c^4+7350*c^3+10710*c^2+630*c+315)/(c+1)^ 13, 0, 9823275*c*(39*c^13-961*c^12+21998*c^11+202102*c^10+528793*c^9+746121*c^8 +703236*c^7+389652*c^6+174153*c^5+26817*c^4+6510*c^3-2730*c^2-105*c-105)/(c+1)^ 14, 0, -127702575*c*(165*c^14-10776*c^13-237293*c^12-1010968*c^11-2369395*c^10-\ 3443888*c^9-3459309*c^8-2485872*c^7-1236057*c^6-469560*c^5-97167*c^4-19320*c^3+ 1575*c^2+105)/(c+1)^15, 0, 638512875*c*(7293*c^15+451539*c^14+3724317*c^13+ 13123523*c^12+27977313*c^11+40987023*c^10+43164625*c^9+34029423*c^8+20145303*c^ 7+8830617*c^6+2945943*c^5+620361*c^4+109515*c^3-315*c^2+315*c-315)/(c+1)^16], [ 0, 14175*c*(429*c^7+1001*c^6+1155*c^5+735*c^4+315*c^3+63*c^2+21*c-7)/(c+1)^8, 0 , 14175*c*(143*c^9+2805*c^8+7566*c^7+10038*c^6+7980*c^5+4032*c^4+1442*c^3+42*c^ 2+21*c-21)/(c+1)^10, 0, -14175*c*(77*c^10-2888*c^9-28755*c^8-64920*c^7-75390*c^ 6-56952*c^5-19222*c^4-6440*c^3+945*c^2+105)/(c+1)^11, 0, 297675*c*(9*c^11-179*c ^10+3073*c^9+18225*c^8+37530*c^7+30546*c^6+20034*c^5+3122*c^4+1085*c^3-735*c^2-\ 35*c-35)/(c+1)^12, 0, -297675*c*(55*c^12-978*c^11+9318*c^10-91874*c^9-192195*c^ 8-313380*c^7-126012*c^6-75348*c^5+39249*c^4+7350*c^3+10710*c^2+630*c+315)/(c+1) ^13, 0, 16372125*c*(13*c^13-253*c^12+2676*c^11-30200*c^10-83887*c^9-139293*c^8-\ 114672*c^7-106296*c^6-46305*c^5-31143*c^4-6468*c^3-3024*c^2-189*c-63)/(c+1)^14, 0, -638512875*c*(9*c^14-244*c^13+6287*c^12+67632*c^11+200809*c^10+324892*c^9+ 343719*c^8+247488*c^7+144483*c^6+56196*c^5+22197*c^4+4368*c^3+1323*c^2+84*c+21) /(c+1)^15, 0, 638512875*c*(561*c^15-40599*c^14-1013565*c^13-4902625*c^12-\ 12734295*c^11-20700855*c^10-23332925*c^9-18968265*c^8-11439765*c^7-5428605*c^6-\ 1876959*c^5-582939*c^4-107205*c^3-24885*c^2-1575*c-315)/(c+1)^16, 0], [-155925* c*(221*c^6+546*c^5+637*c^4+420*c^3+175*c^2+42*c+7)/(c+1)^7, 0, -155925*c*(195*c ^8+806*c^7+1712*c^6+2030*c^5+1582*c^4+770*c^3+280*c^2+42*c+7)/(c+1)^9, 0, -\ 155925*c*(91*c^10+2438*c^9+8337*c^8+16176*c^7+19878*c^6+16716*c^5+9898*c^4+3584 *c^3+1071*c^2+126*c+21)/(c+1)^11, 0, 467775*c*(21*c^11-931*c^10-12155*c^9-32255 *c^8-52110*c^7-56286*c^6-37814*c^5-20510*c^4-6055*c^3-1855*c^2-175*c-35)/(c+1)^ 12, 0, -3274425*c*(9*c^12-200*c^11+4004*c^10+30380*c^9+69785*c^8+82656*c^7+ 76320*c^6+40936*c^5+21595*c^4+5320*c^3+1820*c^2+140*c+35)/(c+1)^13, 0, 16372125 *c*(13*c^13-253*c^12+2676*c^11-30200*c^10-83887*c^9-139293*c^8-114672*c^7-\ 106296*c^6-46305*c^5-31143*c^4-6468*c^3-3024*c^2-189*c-63)/(c+1)^14, 0, -\ 49116375*c*(65*c^14-1378*c^13+16057*c^12-204084*c^11-700755*c^10-1268366*c^9-\ 1311387*c^8-1056792*c^7-393261*c^6-159390*c^5+32571*c^4+4620*c^3+9471*c^2+462*c +231)/(c+1)^15, 0, 638512875*c*(153*c^15-4531*c^14+129779*c^13+1597547*c^12+ 5334721*c^11+9721789*c^10+11564707*c^9+9635571*c^8+5986563*c^7+2517999*c^6+ 859089*c^5+121737*c^4+23331*c^3-7161*c^2-231*c-231)/(c+1)^16, 0, -638512875*c*( 10659*c^16-846804*c^15-23625690*c^14-128094280*c^13-366364250*c^12-659394540*c^ 11-825345290*c^10-752358640*c^9-515966220*c^8-270504300*c^7-104429886*c^6-\ 31606344*c^5-5546310*c^4-919380*c^3+62370*c^2+3465)/(c+1)^17], [0, 155925*c*( 1105*c^7+2275*c^6+2457*c^5+1435*c^4+595*c^3+105*c^2+35*c-7)/(c+1)^8, 0, 467775* c*(455*c^9+2847*c^8+6390*c^7+7434*c^6+5572*c^5+2520*c^4+938*c^3+70*c^2+21*c-7)/ (c+1)^10, 0, 467775*c*(273*c^11+9247*c^10+39831*c^9+88425*c^8+113010*c^7+95662* c^6+54838*c^5+18634*c^4+5005*c^3+35*c^2+35*c-35)/(c+1)^12, 0, -3274425*c*(33*c^ 12-1692*c^11-27204*c^10-85808*c^9-159975*c^8-180648*c^7-126208*c^6-64176*c^5-\ 16317*c^4-4060*c^3+420*c^2+35)/(c+1)^13, 0, 9823275*c*(39*c^13-961*c^12+21998*c ^11+202102*c^10+528793*c^9+746121*c^8+703236*c^7+389652*c^6+174153*c^5+26817*c^ 4+6510*c^3-2730*c^2-105*c-105)/(c+1)^14, 0, -49116375*c*(65*c^14-1378*c^13+ 16057*c^12-204084*c^11-700755*c^10-1268366*c^9-1311387*c^8-1056792*c^7-393261*c ^6-159390*c^5+32571*c^4+4620*c^3+9471*c^2+462*c+231)/(c+1)^15, 0, 638512875*c*( 85*c^15-1953*c^14+24885*c^13-351625*c^12-1432623*c^11-2872221*c^10-3462063*c^9-\ 3015045*c^8-1757745*c^7-1019667*c^6-341649*c^5-176715*c^4-30261*c^3-13167*c^2-\ 693*c-231)/(c+1)^16, 0, -1915538625*c*(969*c^16-31144*c^15+981578*c^14+13595260 *c^13+50574650*c^12+102592000*c^11+136152170*c^10+128047700*c^9+89496660*c^8+ 46700280*c^7+20040174*c^6+6134436*c^5+1916838*c^4+314160*c^3+85470*c^2+4620*c+ 1155)/(c+1)^17, 0], [-2027025*c*(323*c^6+714*c^5+777*c^4+476*c^3+189*c^2+42*c+7 )/(c+1)^7, 0, -2027025*c*(595*c^8+1626*c^7+2780*c^6+2758*c^5+1974*c^4+854*c^3+ 308*c^2+42*c+7)/(c+1)^9, 0, -6081075*c*(315*c^10+2674*c^9+6843*c^8+10224*c^7+ 10550*c^6+7476*c^5+4158*c^4+1344*c^3+399*c^2+42*c+7)/(c+1)^11, 0, -6081075*c*( 231*c^12+9450*c^11+49686*c^10+124570*c^9+184965*c^8+195204*c^7+148580*c^6+80724 *c^5+34545*c^4+9170*c^3+2310*c^2+210*c+35)/(c+1)^13, 0, 42567525*c*(33*c^13-\ 1923*c^12-36654*c^11-135494*c^10-284545*c^9-365613*c^8-321412*c^7-212756*c^6-\ 97041*c^5-38605*c^4-8750*c^3-2310*c^2-175*c-35)/(c+1)^14, 0, -638512875*c*(9*c^ 14-244*c^13+6287*c^12+67632*c^11+200809*c^10+324892*c^9+343719*c^8+247488*c^7+ 144483*c^6+56196*c^5+22197*c^4+4368*c^3+1323*c^2+84*c+21)/(c+1)^15, 0, 638512875*c*(85*c^15-1953*c^14+24885*c^13-351625*c^12-1432623*c^11-2872221*c^10 -3462063*c^9-3015045*c^8-1757745*c^7-1019667*c^6-341649*c^5-176715*c^4-30261*c^ 3-13167*c^2-693*c-231)/(c+1)^16, 0, -638512875*c*(1615*c^16-40018*c^15+553848*c ^14-8609806*c^13-40516112*c^12-90042498*c^11-122906784*c^10-118777230*c^9-\ 82241874*c^8-45328998*c^7-14555112*c^6-4558554*c^5+408408*c^4+42042*c^3+144144* c^2+6006*c+3003)/(c+1)^17, 0, 1915538625*c*(20349*c^17-705755*c^16+24271444*c^ 15+373367580*c^14+1533645760*c^13+3431351560*c^12+5036942820*c^11+5276291020*c^ 10+4129501090*c^9+2465467290*c^8+1150644924*c^7+390192660*c^6+107891784*c^5+ 13933920*c^4+2222220*c^3-540540*c^2-15015*c-15015)/(c+1)^18], [0, 14189175*c*( 323*c^7+595*c^6+609*c^5+329*c^4+133*c^3+21*c^2+7*c-1)/(c+1)^8, 0, 42567525*c*( 255*c^9+961*c^8+1870*c^7+1918*c^6+1372*c^5+560*c^4+210*c^3+18*c^2+5*c-1)/(c+1)^ 10, 0, 42567525*c*(495*c^11+5331*c^10+16003*c^9+28335*c^8+32030*c^7+24150*c^6+ 13454*c^5+4342*c^4+1235*c^3+55*c^2+15*c-5)/(c+1)^12, 0, 42567525*c*(429*c^13+ 20559*c^12+128268*c^11+362152*c^10+615713*c^9+731031*c^8+604016*c^7+351832*c^6+ 149583*c^5+38717*c^4+8260*c^3+35*c-35)/(c+1)^14, 0, -127702575*c*(165*c^14-\ 10776*c^13-237293*c^12-1010968*c^11-2369395*c^10-3443888*c^9-3459309*c^8-\ 2485872*c^7-1236057*c^6-469560*c^5-97167*c^4-19320*c^3+1575*c^2+105)/(c+1)^15, 0, 638512875*c*(153*c^15-4531*c^14+129779*c^13+1597547*c^12+5334721*c^11+ 9721789*c^10+11564707*c^9+9635571*c^8+5986563*c^7+2517999*c^6+859089*c^5+121737 *c^4+23331*c^3-7161*c^2-231*c-231)/(c+1)^16, 0, -638512875*c*(1615*c^16-40018*c ^15+553848*c^14-8609806*c^13-40516112*c^12-90042498*c^11-122906784*c^10-\ 118777230*c^9-82241874*c^8-45328998*c^7-14555112*c^6-4558554*c^5+408408*c^4+ 42042*c^3+144144*c^2+6006*c+3003)/(c+1)^17, 0, 13408770375*c*(1615*c^17-42959*c ^16+641954*c^15-10885502*c^14-58034810*c^13-142359490*c^12-216569990*c^11-\ 232176230*c^10-182619580*c^9-110956560*c^8-49957050*c^7-21169434*c^6-5771766*c^ 5-2384382*c^4-347490*c^3-141570*c^2-6435*c-2145)/(c+1)^18, 0], [-42567525*c*( 323*c^6+646*c^5+663*c^4+380*c^3+145*c^2+30*c+5)/(c+1)^7, 0, -42567525*c*(969*c^ 8+2074*c^7+3064*c^6+2602*c^5+1738*c^4+670*c^3+240*c^2+30*c+5)/(c+1)^9, 0, -\ 42567525*c*(2805*c^10+13938*c^9+30291*c^8+37584*c^7+34506*c^6+20964*c^5+11054*c ^4+3200*c^3+945*c^2+90*c+15)/(c+1)^11, 0, -638512875*c*(429*c^12+5610*c^11+ 19746*c^10+39958*c^9+50955*c^8+46116*c^7+31820*c^6+15340*c^5+6243*c^4+1490*c^3+ 370*c^2+30*c+5)/(c+1)^13, 0, -638512875*c*(429*c^14+23562*c^13+170541*c^12+ 539644*c^11+1033641*c^10+1367422*c^9+1283513*c^8+897384*c^7+479703*c^6+189798*c ^5+62391*c^4+13020*c^3+2835*c^2+210*c+35)/(c+1)^15, 0, 638512875*c*(561*c^15-\ 40599*c^14-1013565*c^13-4902625*c^12-12734295*c^11-20700855*c^10-23332925*c^9-\ 18968265*c^8-11439765*c^7-5428605*c^6-1876959*c^5-582939*c^4-107205*c^3-24885*c ^2-1575*c-315)/(c+1)^16, 0, -1915538625*c*(969*c^16-31144*c^15+981578*c^14+ 13595260*c^13+50574650*c^12+102592000*c^11+136152170*c^10+128047700*c^9+ 89496660*c^8+46700280*c^7+20040174*c^6+6134436*c^5+1916838*c^4+314160*c^3+85470 *c^2+4620*c+1155)/(c+1)^17, 0, 13408770375*c*(1615*c^17-42959*c^16+641954*c^15-\ 10885502*c^14-58034810*c^13-142359490*c^12-216569990*c^11-232176230*c^10-\ 182619580*c^9-110956560*c^8-49957050*c^7-21169434*c^6-5771766*c^5-2384382*c^4-\ 347490*c^3-141570*c^2-6435*c-2145)/(c+1)^18, 0, -67043851875*c*(7429*c^18-\ 211242*c^17+3390531*c^16-62266512*c^15-370662564*c^14-997794984*c^13-1673633052 *c^12-1978730832*c^11-1736019714*c^10-1174433260*c^9-614097198*c^8-260056368*c^ 7-72149220*c^6-18522504*c^5+653796*c^4+34320*c^3+353925*c^2+12870*c+6435)/(c+1) ^19], [0, 42567525*c*(2907*c^7+4845*c^6+4743*c^5+2385*c^4+945*c^3+135*c^2+45*c-\ 5)/(c+1)^8, 0, 42567525*c*(10659*c^9+29223*c^8+50958*c^7+46458*c^6+32004*c^5+ 11880*c^4+4450*c^3+390*c^2+105*c-15)/(c+1)^10, 0, 212837625*c*(7293*c^11+45639* c^10+112335*c^9+165789*c^8+170586*c^7+115086*c^6+62134*c^5+18786*c^4+5465*c^3+ 315*c^2+75*c-15)/(c+1)^12, 0, 638512875*c*(6435*c^13+99099*c^12+404712*c^11+ 921564*c^10+1329083*c^9+1376655*c^8+1049496*c^7+566592*c^6+236985*c^5+59577*c^4 +13440*c^3+420*c^2+105*c-35)/(c+1)^14, 0, 638512875*c*(7293*c^15+451539*c^14+ 3724317*c^13+13123523*c^12+27977313*c^11+40987023*c^10+43164625*c^9+34029423*c^ 8+20145303*c^7+8830617*c^6+2945943*c^5+620361*c^4+109515*c^3-315*c^2+315*c-315) /(c+1)^16, 0, -638512875*c*(10659*c^16-846804*c^15-23625690*c^14-128094280*c^13 -366364250*c^12-659394540*c^11-825345290*c^10-752358640*c^9-515966220*c^8-\ 270504300*c^7-104429886*c^6-31606344*c^5-5546310*c^4-919380*c^3+62370*c^2+3465) /(c+1)^17, 0, 1915538625*c*(20349*c^17-705755*c^16+24271444*c^15+373367580*c^14 +1533645760*c^13+3431351560*c^12+5036942820*c^11+5276291020*c^10+4129501090*c^9 +2465467290*c^8+1150644924*c^7+390192660*c^6+107891784*c^5+13933920*c^4+2222220 *c^3-540540*c^2-15015*c-15015)/(c+1)^18, 0, -67043851875*c*(7429*c^18-211242*c^ 17+3390531*c^16-62266512*c^15-370662564*c^14-997794984*c^13-1673633052*c^12-\ 1978730832*c^11-1736019714*c^10-1174433260*c^9-614097198*c^8-260056368*c^7-\ 72149220*c^6-18522504*c^5+653796*c^4+34320*c^3+353925*c^2+12870*c+6435)/(c+1)^ 19, 0]], [[105, 0, 105*(9*c^2+2*c+1)/(c+1)^2, 0, 315*(33*c^4+36*c^3+22*c^2+4*c+ 1)/(c+1)^4, 0, 315*(429*c^6+990*c^5+1035*c^4+580*c^3+195*c^2+30*c+5)/(c+1)^6, 0 , 315*(6435*c^8+24024*c^7+39732*c^6+37800*c^5+22610*c^4+8680*c^3+2100*c^2+280*c +35)/(c+1)^8, 0, 14175*(2431*c^8+8008*c^7+12012*c^6+10472*c^5+5810*c^4+2072*c^3 +476*c^2+56*c+7)/(c+1)^8, 0, 155925*(4199*c^8+12376*c^7+17108*c^6+13832*c^5+ 7210*c^4+2408*c^3+532*c^2+56*c+7)/(c+1)^8, 0, 14189175*(969*c^8+2584*c^7+3332*c ^6+2520*c^5+1246*c^4+392*c^3+84*c^2+8*c+1)/(c+1)^8, 0, 42567525*(7429*c^8+18088 *c^7+21964*c^6+15640*c^5+7390*c^4+2200*c^3+460*c^2+40*c+5)/(c+1)^8], [0, 105*c* (7*c-1)/(c+1)^2, 0, 315*c*(15*c^3+5*c^2+5*c-1)/(c+1)^4, 0, 315*c*(99*c^5+135*c^ 4+110*c^3+30*c^2+15*c-5)/(c+1)^6, 0, 315*c*(429*c^7+1155*c^6+1449*c^5+1015*c^4+ 455*c^3+105*c^2+35*c-35)/(c+1)^8, 0, -2835*c*(715*c^8+2288*c^7+3388*c^6+2912*c^ 5+1610*c^4+560*c^3+140*c^2+35)/(c+1)^9, 0, -155925*c*(663*c^8+1872*c^7+2548*c^6 +2016*c^5+1050*c^4+336*c^3+84*c^2+7)/(c+1)^9, 0, -2027025*c*(1615*c^8+4080*c^7+ 5180*c^6+3808*c^5+1890*c^4+560*c^3+140*c^2+7)/(c+1)^9, 0, -42567525*c*(2261*c^8 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315*c*(45*c^7+619*c^6+1157*c^5+1035*c^4+575*c^3+25*c^2+15*c-15)/ (c+1)^8, 0, -945*c*(33*c^8-828*c^7-1834*c^6-2184*c^5-1260*c^4-700*c^3+210*c^2+ 35)/(c+1)^9, 0, 2835*c*(143*c^9-4081*c^8-11316*c^7-15540*c^6-11886*c^5-6510*c^4 -1540*c^3-1540*c^2-105*c-105)/(c+1)^10, 0, -155925*c*(195*c^10+4394*c^9+13753*c ^8+21240*c^7+19950*c^6+12348*c^5+5250*c^4+1400*c^3+511*c^2+42*c+21)/(c+1)^11, 0 , -6081075*c*(595*c^10+4350*c^9+11147*c^8+15224*c^7+13286*c^6+7588*c^5+3150*c^4 +728*c^3+231*c^2+14*c+7)/(c+1)^11, 0, -42567525*c*(4845*c^10+21726*c^9+47451*c^ 8+57672*c^7+47250*c^6+24948*c^5+10150*c^4+2120*c^3+625*c^2+30*c+15)/(c+1)^11, 0 ], [315*(33*c^4+36*c^3+22*c^2+4*c+1)/(c+1)^4, 0, 315*(45*c^6+86*c^5+135*c^4+68* c^3+43*c^2+6*c+1)/(c+1)^6, 0, 315*(35*c^8+520*c^7+972*c^6+1192*c^5+1154*c^4+504 *c^3+204*c^2+24*c+3)/(c+1)^8, 0, -945*(15*c^9-401*c^8-2136*c^7-4544*c^6-4490*c^ 5-3570*c^4-1280*c^3-440*c^2-45*c-5)/(c+1)^9, 0, 945*(99*c^10-1698*c^9+23207*c^8 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9-143*c^8+1696*c^7+2632*c^6+3682*c^5+154*c^4+280*c^3-560*c^2-35*c-35)/(c+1)^10, 0, -33075*c*(c-1)*(5*c^9-69*c^8+498*c^7-3558*c^6-3948*c^5-5208*c^4-1890*c^3-\ 1050*c^2-105*c-35)/(c+1)^11, 0, 297675*c*(5*c^11-81*c^10+691*c^9-5839*c^8-7758* c^7-17802*c^6-11130*c^5-10206*c^4-2695*c^3-1365*c^2-105*c-35)/(c+1)^12, 0, -\ 3274425*c*(9*c^12-200*c^11+4004*c^10+30380*c^9+69785*c^8+82656*c^7+76320*c^6+ 40936*c^5+21595*c^4+5320*c^3+1820*c^2+140*c+35)/(c+1)^13, 0, 42567525*c*(33*c^ 13-1923*c^12-36654*c^11-135494*c^10-284545*c^9-365613*c^8-321412*c^7-212756*c^6 -97041*c^5-38605*c^4-8750*c^3-2310*c^2-175*c-35)/(c+1)^14, 0, -638512875*c*(429 *c^14+23562*c^13+170541*c^12+539644*c^11+1033641*c^10+1367422*c^9+1283513*c^8+ 897384*c^7+479703*c^6+189798*c^5+62391*c^4+13020*c^3+2835*c^2+210*c+35)/(c+1)^ 15, 0], [315*(6435*c^8+24024*c^7+39732*c^6+37800*c^5+22610*c^4+8680*c^3+2100*c^ 2+280*c+35)/(c+1)^8, 0, -315*(429*c^9-11979*c^8-40572*c^7-61292*c^6-53130*c^5-\ 29610*c^4-10220*c^3-2940*c^2-315*c-35)/(c+1)^9, 0, 945*(99*c^10-1698*c^9+23207* c^8+66920*c^7+94262*c^6+71540*c^5+43190*c^4+13160*c^3+3815*c^2+350*c+35)/(c+1)^ 10, 0, -4725*(45*c^11-689*c^10+5627*c^9-48015*c^8-102270*c^7-163338*c^6-110250* c^5-65310*c^4-17535*c^3-4725*c^2-385*c-35)/(c+1)^11, 0, 33075*(35*c^12-540*c^11 +4134*c^10-22508*c^9+144045*c^8+245448*c^7+326676*c^6+189000*c^5+97965*c^4+ 23380*c^3+5670*c^2+420*c+35)/(c+1)^12, 0, -297675*(45*c^13-791*c^12+7462*c^11-\ 75050*c^10-245665*c^9-674325*c^8-750204*c^7-678972*c^6-330085*c^5-143185*c^4-\ 30730*c^3-6650*c^2-455*c-35)/(c+1)^13, 0, 3274425*(99*c^14-2454*c^13+57393*c^12 +553668*c^11+1437275*c^10+2242486*c^9+2645649*c^8+2084152*c^7+1354577*c^6+ 558390*c^5+203035*c^4+39620*c^3+7665*c^2+490*c+35)/(c+1)^14, 0, -42567525*(429* c^15-28413*c^14-641403*c^13-2778965*c^12-6543663*c^11-9529569*c^10-10030727*c^9 -8133897*c^8-4991385*c^7-2530647*c^6-901425*c^5-279615*c^4-50085*c^3-8715*c^2-\ 525*c-35)/(c+1)^15, 0, 638512875*(6435*c^16+404976*c^15+3398472*c^14+12054672*c ^13+25860884*c^12+37951984*c^11+40096504*c^10+32522768*c^9+20800530*c^8+ 10558800*c^7+4430328*c^6+1389360*c^5+375060*c^4+62160*c^3+9800*c^2+560*c+35)/(c +1)^16], [0, -2835*c*(715*c^8+2288*c^7+3388*c^6+2912*c^5+1610*c^4+560*c^3+140*c ^2+35)/(c+1)^9, 0, 2835*c*(143*c^9-4081*c^8-11316*c^7-15540*c^6-11886*c^5-6510* c^4-1540*c^3-1540*c^2-105*c-105)/(c+1)^10, 0, -14175*c*(33*c^10-590*c^9+8117*c^ 8+17784*c^7+24402*c^6+14028*c^5+13986*c^4+3640*c^3+2765*c^2+210*c+105)/(c+1)^11 , 0, 297675*c*(5*c^11-81*c^10+691*c^9-5839*c^8-7758*c^7-17802*c^6-11130*c^5-\ 10206*c^4-2695*c^3-1365*c^2-105*c-35)/(c+1)^12, 0, -297675*c*(35*c^12-580*c^11+ 4782*c^10-28036*c^9+190757*c^8+307512*c^7+469092*c^6+278040*c^5+179613*c^4+ 44940*c^3+16590*c^2+1260*c+315)/(c+1)^13, 0, 3274425*c*(45*c^13-863*c^12+9062*c ^11-107082*c^10-488705*c^9-1232605*c^8-1411452*c^7-1289532*c^6-657573*c^5-\ 315945*c^4-73290*c^3-21210*c^2-1575*c-315)/(c+1)^14, 0, -127702575*c*(33*c^14-\ 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411179*c^18+6741061*c^17-139359161*c^16-1408649780*c^15-5523091100*c^14-\ 12643549100*c^13-19643414180*c^12-22163943230*c^11-18990844730*c^10-12552149610 *c^9-6639481134*c^8-2724440004*c^7-927242316*c^6-231445500*c^5-50287380*c^4-\ 6694545*c^3-864435*c^2-40755*c-2145)/(c+1)^19], [0, -42567525*c*(2261*c^8+5168* c^7+6188*c^6+4256*c^5+2030*c^4+560*c^3+140*c^2+5)/(c+1)^9, 0, -42567525*c*(4845 *c^10+21726*c^9+47451*c^8+57672*c^7+47250*c^6+24948*c^5+10150*c^4+2120*c^3+625* c^2+30*c+15)/(c+1)^11, 0, -212837625*c*(1683*c^12+20964*c^11+72234*c^10+144108* c^9+184425*c^8+161832*c^7+102396*c^6+44440*c^5+16213*c^4+3380*c^3+890*c^2+60*c+ 15)/(c+1)^13, 0, -638512875*c*(429*c^14+23562*c^13+170541*c^12+539644*c^11+ 1033641*c^10+1367422*c^9+1283513*c^8+897384*c^7+479703*c^6+189798*c^5+62391*c^4 +13020*c^3+2835*c^2+210*c+35)/(c+1)^15, 0, 638512875*c*(429*c^15-31845*c^14-\ 829899*c^13-4143293*c^12-10860815*c^11-17798697*c^10-20970103*c^9-18402001*c^8-\ 12170457*c^7-6368271*c^6-2419809*c^5-778743*c^4-154245*c^3-31395*c^2-2205*c-315 )/(c+1)^16, 0, -638512875*c*(1683*c^16-55452*c^15+1861110*c^14+28887600*c^13+ 110502070*c^12+246257900*c^11+372031590*c^10+410971880*c^9+345461380*c^8+ 217073340*c^7+108588018*c^6+39022368*c^5+11843370*c^4+2212980*c^3+413490*c^2+ 27720*c+3465)/(c+1)^17, 0, 1915538625*c*(4845*c^17-127891*c^16+1942572*c^15-\ 36740140*c^14-332005240*c^13-1191924720*c^12-2491636420*c^11-3534735100*c^10-\ 3611952630*c^9-2800999630*c^8-1623464700*c^7-748623876*c^6-250137888*c^5-\ 70029960*c^4-12312300*c^3-2102100*c^2-135135*c-15015)/(c+1)^18, 0, -67043851875 *c*(2261*c^18-58786*c^17+796467*c^16-8234016*c^15+115450860*c^14+721061544*c^13 +1973190996*c^12+3336094944*c^11+3965271726*c^10+3489101044*c^9+2369516578*c^8+ 1229877792*c^7+510954444*c^6+157189032*c^5+40252212*c^4+6658080*c^3+1040325*c^2 +64350*c+6435)/(c+1)^19, 0], [42567525*(7429*c^8+18088*c^7+21964*c^6+15640*c^5+ 7390*c^4+2200*c^3+460*c^2+40*c+5)/(c+1)^8, 0, 42567525*(20349*c^10+53618*c^9+ 87873*c^8+88728*c^7+66474*c^6+32940*c^5+13050*c^4+2840*c^3+665*c^2+50*c+5)/(c+1 )^10, 0, 42567525*(53295*c^12+311508*c^11+764142*c^10+1097700*c^9+1123713*c^8+ 811944*c^7+467972*c^6+180840*c^5+64225*c^4+12420*c^3+2670*c^2+180*c+15)/(c+1)^ 12, 0, 638512875*(7293*c^14+110022*c^13+444135*c^12+1006076*c^11+1447685*c^10+ 1487002*c^9+1145383*c^8+664136*c^7+319759*c^6+109850*c^5+34285*c^4+6140*c^3+ 1135*c^2+70*c+5)/(c+1)^14, 0, 638512875*(6435*c^16+404976*c^15+3398472*c^14+ 12054672*c^13+25860884*c^12+37951984*c^11+40096504*c^10+32522768*c^9+20800530*c ^8+10558800*c^7+4430328*c^6+1389360*c^5+375060*c^4+62160*c^3+9800*c^2+560*c+35) /(c+1)^16, 0, -638512875*(7293*c^17-599907*c^16-17714880*c^15-100382800*c^14-\ 291194540*c^13-531198780*c^12-692641040*c^11-675770080*c^10-513474570*c^9-\ 313481370*c^8-150051552*c^7-59874192*c^6-17471580*c^5-4439820*c^4-680400*c^3-\ 100800*c^2-5355*c-315)/(c+1)^17, 0, 1915538625*(10659*c^18-380970*c^17+14078299 *c^16+245507280*c^15+1048156620*c^14+2570432200*c^13+4270660380*c^12+5203067760 *c^11+4827114490*c^10+3468551460*c^9+2000277114*c^8+893563440*c^7+331975644*c^6 +89692680*c^5+21145740*c^4+3012240*c^3+416955*c^2+20790*c+1155)/(c+1)^18, 0, -\ 13408770375*(14535*c^19-411179*c^18+6741061*c^17-139359161*c^16-1408649780*c^15 -5523091100*c^14-12643549100*c^13-19643414180*c^12-22163943230*c^11-18990844730 *c^10-12552149610*c^9-6639481134*c^8-2724440004*c^7-927242316*c^6-231445500*c^5 -50287380*c^4-6694545*c^3-864435*c^2-40755*c-2145)/(c+1)^19, 0, 67043851875*( 52003*c^20-1440580*c^19+20878074*c^18-232022052*c^17+3525940071*c^16+ 24349847472*c^15+72681912120*c^14+134408562288*c^13+174978262134*c^12+ 169894514504*c^11+127628470684*c^10+75172485960*c^9+35689840758*c^8+13321891440 *c^7+4125329208*c^6+952002480*c^5+190422375*c^4+23809500*c^3+2870010*c^2+128700 *c+6435)/(c+1)^20]], [[0, -945*c/(c+1), 0, -945*c*(11*c^2+6*c+3)/(c+1)^3, 0, -\ 945*c*(143*c^4+220*c^3+170*c^2+60*c+15)/(c+1)^5, 0, 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7140*c^7+6300*c^6+3738*c^5+1470*c^4+420*c^3+60*c^2+15*c-3)/(c+1)^10, 0, 42567525*c*(52003*c^9+142443*c^8+197676*c^7+164220*c^6+93114*c^5+34650*c^4+9660 *c^3+1260*c^2+315*c-45)/(c+1)^10], [0, -945*c*(7*c^2+1)/(c+1)^3, 0, -945*c*(35* c^4+22*c^3+38*c^2+6*c+3)/(c+1)^5, 0, -945*c*(165*c^6+436*c^5+733*c^4+560*c^3+ 335*c^2+60*c+15)/(c+1)^7, 0, -2835*c*(143*c^8+1738*c^7+5076*c^6+7294*c^5+6286*c ^4+3430*c^3+1260*c^2+210*c+35)/(c+1)^9, 0, 2835*c*(715*c^9-22451*c^8-88308*c^7-\ 154428*c^6-158550*c^5-106218*c^4-47460*c^3-14700*c^2-2205*c-315)/(c+1)^10, 0, -\ 155925*c*(663*c^10+10504*c^9+39299*c^8+74160*c^7+86286*c^6+67200*c^5+36414*c^4+ 13776*c^3+3675*c^2+504*c+63)/(c+1)^11, 0, -6081075*c*(1615*c^10+9112*c^9+24425* c^8+38352*c^7+39702*c^6+28224*c^5+14322*c^4+5040*c^3+1323*c^2+168*c+21)/(c+1)^ 11, 0, -42567525*c*(11305*c^10+43928*c^9+93721*c^8+124944*c^7+115986*c^6+75264* c^5+35994*c^4+11760*c^3+3045*c^2+360*c+45)/(c+1)^11, 0], [-945*c*(11*c^2+6*c+3) /(c+1)^3, 0, 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14175*c*(7*c^9-227*c^8-1824*c^7-3504*c^6 -3234*c^5-2598*c^4-920*c^3-440*c^2-45*c-15)/(c+1)^10, 0, -14175*c*(33*c^10-590* c^9+8117*c^8+17784*c^7+24402*c^6+14028*c^5+13986*c^4+3640*c^3+2765*c^2+210*c+ 105)/(c+1)^11, 0, 42525*c*(143*c^11-2849*c^10+44633*c^9+125145*c^8+188310*c^7+ 152502*c^6+102354*c^5+10962*c^4+5355*c^3-6405*c^2-315*c-315)/(c+1)^12, 0, -\ 467775*c*(455*c^12-21736*c^11-298494*c^10-901728*c^9-1426515*c^8-1424880*c^7-\ 961044*c^6-472416*c^5-124047*c^4-31080*c^3+3570*c^2+315)/(c+1)^13, 0, 42567525* c*(765*c^13+33515*c^12+191386*c^11+531006*c^10+875619*c^9+965805*c^8+747180*c^7 +419844*c^6+173139*c^5+45621*c^4+9690*c^3+30*c^2+45*c-45)/(c+1)^14, 0, 638512875*c*(10659*c^13+150807*c^12+589114*c^11+1310890*c^10+1881793*c^9+ 1876677*c^8+1353852*c^7+709116*c^6+285237*c^5+72561*c^4+16170*c^3+570*c^2+135*c -45)/(c+1)^14], [0, -2835*c*(143*c^6+264*c^5+255*c^4+120*c^3+45*c^2+5)/(c+1)^7, 0, -2835*c*(55*c^8+918*c^7+2088*c^6+2322*c^5+1530*c^4+570*c^3+280*c^2+30*c+15)/ (c+1)^9, 0, 14175*c*(7*c^9-227*c^8-1824*c^7-3504*c^6-3234*c^5-2598*c^4-920*c^3-\ 440*c^2-45*c-15)/(c+1)^10, 0, -42525*c*(7*c^10-124*c^9+1783*c^8+7368*c^7+16542* c^6+14448*c^5+11046*c^4+3640*c^3+1435*c^2+140*c+35)/(c+1)^11, 0, 42525*c*(55*c^ 11-933*c^10+8589*c^9-85655*c^8-244746*c^7-383202*c^6-286230*c^5-175518*c^4-\ 52605*c^3-16905*c^2-1575*c-315)/(c+1)^12, 0, -467775*c*(91*c^12-2006*c^11+38298 *c^10+250330*c^9+674245*c^8+988884*c^7+983436*c^6+599172*c^5+292005*c^4+79170*c ^3+21210*c^2+1890*c+315)/(c+1)^13, 0, 18243225*c*(105*c^13-5929*c^12-106294*c^ 11-380386*c^10-784865*c^9-1072135*c^8-1045716*c^7-754716*c^6-381129*c^5-152775* c^4-37590*c^3-8610*c^2-735*c-105)/(c+1)^14, 0, -638512875*c*(561*c^14+29664*c^ 13+206463*c^12+645992*c^11+1219065*c^10+1605768*c^9+1557631*c^8+1159632*c^7+ 666027*c^6+286512*c^5+97749*c^4+21960*c^3+4395*c^2+360*c+45)/(c+1)^15, 0], [-\ 2835*c*(715*c^6+2002*c^5+2541*c^4+1820*c^3+805*c^2+210*c+35)/(c+1)^7, 0, -2835* c*(143*c^8+1738*c^7+5076*c^6+7294*c^5+6286*c^4+3430*c^3+1260*c^2+210*c+35)/(c+1 )^9, 0, 2835*c*(55*c^9-1701*c^8-11328*c^7-27408*c^6-33810*c^5-27258*c^4-11480*c ^3-4200*c^2-525*c-105)/(c+1)^10, 0, -42525*c*(7*c^10-124*c^9+1783*c^8+7368*c^7+ 16542*c^6+14448*c^5+11046*c^4+3640*c^3+1435*c^2+140*c+35)/(c+1)^11, 0, 297675*c *(5*c^11-81*c^10+691*c^9-5839*c^8-7758*c^7-17802*c^6-11130*c^5-10206*c^4-2695*c ^3-1365*c^2-105*c-35)/(c+1)^12, 0, -297675*c*(55*c^12-978*c^11+9318*c^10-91874* c^9-192195*c^8-313380*c^7-126012*c^6-75348*c^5+39249*c^4+7350*c^3+10710*c^2+630 *c+315)/(c+1)^13, 0, 9823275*c*(39*c^13-961*c^12+21998*c^11+202102*c^10+528793* c^9+746121*c^8+703236*c^7+389652*c^6+174153*c^5+26817*c^4+6510*c^3-2730*c^2-105 *c-105)/(c+1)^14, 0, -127702575*c*(165*c^14-10776*c^13-237293*c^12-1010968*c^11 -2369395*c^10-3443888*c^9-3459309*c^8-2485872*c^7-1236057*c^6-469560*c^5-97167* c^4-19320*c^3+1575*c^2+105)/(c+1)^15, 0, 638512875*c*(7293*c^15+451539*c^14+ 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16+120521892*c^15+657263532*c^14+1667981436*c^13+2629576404*c^12+2963391366*c^ 11+2459634034*c^10+1618228898*c^9+750314422*c^8+295510644*c^7+50963484*c^6+ 10294284*c^5-5537532*c^4-727155*c^3-499785*c^2-19305*c-6435)/(c+1)^20, 0]], [[ 945, 0, 945*(11*c^2+2*c+1)/(c+1)^2, 0, 945*(143*c^4+132*c^3+78*c^2+12*c+3)/(c+1 )^4, 0, 14175*(143*c^6+286*c^5+275*c^4+140*c^3+45*c^2+6*c+1)/(c+1)^6, 0, 14175* (2431*c^8+8008*c^7+12012*c^6+10472*c^5+5810*c^4+2072*c^3+476*c^2+56*c+7)/(c+1)^ 8, 0, 14175*(46189*c^10+218790*c^9+469755*c^8+600600*c^7+505890*c^6+293076*c^5+ 118230*c^4+32760*c^3+5985*c^2+630*c+63)/(c+1)^10, 0, 467775*(29393*c^10+125970* c^9+248625*c^8+294840*c^7+232050*c^6+126252*c^5+48090*c^4+12600*c^3+2205*c^2+ 210*c+21)/(c+1)^10, 0, 42567525*(7429*c^10+29070*c^9+53295*c^8+59160*c^7+43890* c^6+22596*c^5+8190*c^4+2040*c^3+345*c^2+30*c+3)/(c+1)^10, 0, 212837625*(37145*c ^10+133722*c^9+229653*c^8+240312*c^7+169218*c^6+82908*c^5+28770*c^4+6840*c^3+ 1125*c^2+90*c+9)/(c+1)^10], [0, 945*c*(9*c-1)/(c+1)^2, 0, 945*c*(77*c^3+21*c^2+ 21*c-3)/(c+1)^4, 0, 4725*c*(143*c^5+165*c^4+130*c^3+30*c^2+15*c-3)/(c+1)^6, 0, 14175*c*(429*c^7+1001*c^6+1155*c^5+735*c^4+315*c^3+63*c^2+21*c-7)/(c+1)^8, 0, 14175*c*(2431*c^9+9009*c^8+15444*c^7+15708*c^6+10458*c^5+4662*c^4+1428*c^3+252* c^2+63*c-63)/(c+1)^10, 0, -155925*c*(4199*c^10+17680*c^9+34515*c^8+40560*c^7+ 31710*c^6+17136*c^5+6510*c^4+1680*c^3+315*c^2+63)/(c+1)^11, 0, -6081075*c*(6783 *c^10+25840*c^9+46665*c^8+51120*c^7+37590*c^6+19152*c^5+6930*c^4+1680*c^3+315*c ^2+21)/(c+1)^11, 0, -212837625*c*(7429*c^10+25840*c^9+43605*c^8+44880*c^7+31290 *c^6+15120*c^5+5250*c^4+1200*c^3+225*c^2+9)/(c+1)^11, 0], [945*(11*c^2+2*c+1)/( c+1)^2, 0, 945*(63*c^4+8*c^3+28*c^2+4*c+1)/(c+1)^4, 0, 945*(385*c^6+426*c^5+617 *c^4+228*c^3+147*c^2+18*c+3)/(c+1)^6, 0, 14175*(143*c^8+484*c^7+910*c^6+896*c^5 +600*c^4+212*c^3+74*c^2+8*c+1)/(c+1)^8, 0, 14175*(429*c^10+6006*c^9+19987*c^8+ 33208*c^7+33586*c^6+22260*c^5+10038*c^4+2968*c^3+721*c^2+70*c+7)/(c+1)^10, 0, 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9828*c^2+756*c+63)/(c+1)^12, 0, -467775*(1105*c^13-48243*c^12-510042*c^11-\ 1772154*c^10-3328245*c^9-4007385*c^8-3319932*c^7-1977948*c^6-842121*c^5-283605* c^4-59850*c^3-11466*c^2-819*c-63)/(c+1)^13, 0, 42567525*(1615*c^14+62390*c^13+ 318543*c^12+861828*c^11+1499307*c^10+1824210*c^9+1615515*c^8+1065432*c^7+528237 *c^6+195258*c^5+57165*c^4+10980*c^3+1881*c^2+126*c+9)/(c+1)^14, 0, 638512875*( 20349*c^14+256462*c^13+956811*c^12+2045628*c^11+2962925*c^10+3114882*c^9+ 2464803*c^8+1479816*c^7+686655*c^6+234738*c^5+66249*c^4+11772*c^3+2007*c^2+126* c+9)/(c+1)^14], [0, 4725*c*(143*c^5+165*c^4+130*c^3+30*c^2+15*c-3)/(c+1)^6, 0, 14175*c*(77*c^7+321*c^6+543*c^5+395*c^4+235*c^3+23*c^2+9*c-3)/(c+1)^8, 0, 14175 *c*(63*c^9+1505*c^8+4460*c^7+7700*c^6+7130*c^5+3462*c^4+1260*c^3+20*c^2+15*c-15 )/(c+1)^10, 0, -14175*c*(77*c^10-2888*c^9-28755*c^8-64920*c^7-75390*c^6-56952*c ^5-19222*c^4-6440*c^3+945*c^2+105)/(c+1)^11, 0, 42525*c*(143*c^11-2849*c^10+ 44633*c^9+125145*c^8+188310*c^7+152502*c^6+102354*c^5+10962*c^4+5355*c^3-6405*c ^2-315*c-315)/(c+1)^12, 0, -2338875*c*(39*c^12-858*c^11+15082*c^10+51334*c^9+ 86865*c^8+85836*c^7+61068*c^6+25788*c^5+15561*c^4+3150*c^3+2058*c^2+126*c+63)/( c+1)^13, 0, 30405375*c*(119*c^13-6299*c^12-98286*c^11-336354*c^10-603051*c^9-\ 686889*c^8-538836*c^7-305004*c^6-122031*c^5-43869*c^4-8862*c^3-2898*c^2-189*c-\ 63)/(c+1)^14, 0, -638512875*c*(969*c^14+47260*c^13+303495*c^12+931040*c^11+ 1709785*c^10+2111900*c^9+1853775*c^8+1197600*c^7+576195*c^6+206100*c^5+60669*c^ 4+11520*c^3+2715*c^2+180*c+45)/(c+1)^15, 0], [14175*(143*c^6+286*c^5+275*c^4+ 140*c^3+45*c^2+6*c+1)/(c+1)^6, 0, 14175*(143*c^8+484*c^7+910*c^6+896*c^5+600*c^ 4+212*c^3+74*c^2+8*c+1)/(c+1)^8, 0, 14175*(77*c^10+1758*c^9+5055*c^8+8616*c^7+ 9186*c^6+6516*c^5+3662*c^4+1128*c^3+321*c^2+30*c+3)/(c+1)^10, 0, -42525*(21*c^ 11-805*c^10-8515*c^9-19065*c^8-26190*c^7-27906*c^6-17510*c^5-9410*c^4-2535*c^3-\ 665*c^2-55*c-5)/(c+1)^11, 0, 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c*(91*c^14-1770*c^13+17475*c^12-126972*c^11+1171767*c^10+4097874*c^9+7671455*c^ 8+7559640*c^7+5762097*c^6+2651418*c^5+1090089*c^4+235620*c^3+57981*c^2+4158*c+ 693)/(c+1)^15, 0, 147349125*c*(63*c^15-1225*c^14+11685*c^13-74775*c^12+389055*c ^11-2605617*c^10-5634915*c^9-9861335*c^8-8080875*c^7-6112755*c^6-2476089*c^5-\ 1070685*c^4-204435*c^3-56595*c^2-3465*c-693)/(c+1)^16, 0, -1620840375*c*(c-1)*( 63*c^15-1225*c^14+11685*c^13-74775*c^12+389055*c^11-2605617*c^10-5634915*c^9-\ 9861335*c^8-8080875*c^7-6112755*c^6-2476089*c^5-1070685*c^4-204435*c^3-56595*c^ 2-3465*c-693)/(c+1)^17, 0, 21070924875*c*(91*c^17-2091*c^16+24738*c^15-221950*c ^14+2781630*c^13+18712806*c^12+51221114*c^11+70493178*c^10+69881460*c^9+ 41900320*c^8+20839302*c^7+4546278*c^6+1100946*c^5-408870*c^4-62370*c^3-47586*c^ 2-2079*c-693)/(c+1)^18, 0, -316063873125*c*(195*c^18-5590*c^17+96925*c^16-\ 2339600*c^15-31320020*c^14-116475560*c^13-258395228*c^12-382708976*c^11-\ 397262918*c^10-309666500*c^9-173890090*c^8-77505648*c^7-22549956*c^6-5712168*c^ 5-374220*c^4-55440*c^3+39963*c^2+1386*c+693)/(c+1)^19], [0, 467775*c*(29393*c^ 11+138567*c^10+303875*c^9+405405*c^8+364650*c^7+231462*c^6+105798*c^5+34650*c^4 +8085*c^3+1155*c^2+231*c-231)/(c+1)^12, 0, -467775*c*(4199*c^12-163540*c^11-\ 722436*c^10-1475760*c^9-1834305*c^8-1549944*c^7-924000*c^6-402864*c^5-121275*c^ 4-32340*c^3+6468*c^2+693)/(c+1)^13, 0, 2338875*c*(663*c^13-15977*c^12+311402*c^ 11+1244298*c^10+2370621*c^9+2725437*c^8+2184732*c^7+1198428*c^6+537537*c^5+ 64449*c^4+19866*c^3-17094*c^2-693*c-693)/(c+1)^14, 0, -49116375*c*(65*c^14-1378 *c^13+16057*c^12-204084*c^11-700755*c^10-1268366*c^9-1311387*c^8-1056792*c^7-\ 393261*c^6-159390*c^5+32571*c^4+4620*c^3+9471*c^2+462*c+231)/(c+1)^15, 0, 147349125*c*(91*c^15-1847*c^14+18927*c^13-140667*c^12+1263903*c^11+3380949*c^10 +6339443*c^9+4492433*c^8+3077217*c^7+30987*c^6-60291*c^5-397089*c^4-69531*c^3-\ 40425*c^2-2079*c-693)/(c+1)^16, 0, 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15+55321212*c^14+408198504*c^13+1327272156*c^12+2525898648*c^11+3373981806*c^10 +3154940360*c^9+2300599158*c^8+1219118472*c^7+535218684*c^6+163675512*c^5+ 44936892*c^4+7183176*c^3+1270269*c^2+72072*c+9009)/(c+1)^19, 0, 948191619375*c* (273*c^19-6601*c^18+79427*c^17-654363*c^16+4559340*c^15-46305996*c^14-266936796 *c^13-818058948*c^12-1341122874*c^11-1636729302*c^10-1362117614*c^9-931664162*c ^8-450074196*c^7-191723532*c^6-54066012*c^5-15027012*c^4-2201199*c^3-417417*c^2 -21021*c-3003)/(c+1)^20, 0, -86285437363125*c*(33*c^20-810*c^19+9742*c^18-77426 *c^17+469593*c^16-2503992*c^15+18463272*c^14+56276712*c^13+144995874*c^12+ 193825476*c^11+226684692*c^10+171459860*c^9+119141594*c^8+54187848*c^7+24356904 *c^6+6483048*c^5+1970397*c^4+266838*c^3+57486*c^2+2574*c+429)/(c+1)^21, 0, 86285437363125*c*(561*c^21-14499*c^20+184350*c^19-1557370*c^18+10125885*c^17-\ 58854951*c^16+495183144*c^15+1965250440*c^14+4702714290*c^13+5790426570*c^12+ 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0, -42567525*( 185725*c^15-9070809*c^14-60226257*c^13-179855767*c^12-330044715*c^11-417714297* c^10-386026641*c^9-268634223*c^8-142958673*c^7-58453395*c^6-18261243*c^5-\ 4297293*c^4-729729*c^3-99099*c^2-6435*c-429)/(c+1)^15, 0, 638512875*(1002915*c^ 16+25110020*c^15+146930762*c^14+445597880*c^13+864918418*c^12+1181592412*c^11+ 1195892698*c^10+923551200*c^9+553238400*c^8+258901500*c^7+94588494*c^6+26738712 *c^5+5747742*c^4+900900*c^3+112398*c^2+6864*c+429)/(c+1)^16], [0, 405405*c*(55* c^3+11*c^2+11*c-1)/(c+1)^4, 0, 405405*c*(429*c^5+231*c^4+384*c^3+52*c^2+27*c-3) /(c+1)^6, 0, 2027025*c*(693*c^7+1149*c^6+1731*c^5+891*c^4+547*c^3+59*c^2+21*c-3 )/(c+1)^8, 0, 42567525*c*(255*c^9+961*c^8+1870*c^7+1918*c^6+1372*c^5+560*c^4+ 210*c^3+18*c^2+5*c-1)/(c+1)^10, 0, 42567525*c*(1615*c^11+13515*c^10+39135*c^9+ 61323*c^8+61614*c^7+41958*c^6+20454*c^5+6750*c^4+1827*c^3+111*c^2+27*c-9)/(c+1) ^12, 0, 42567525*c*(4845*c^13+151487*c^12+675172*c^11+1497408*c^10+2079825*c^9+ 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c^6-15113241*c^5-4546971*c^4-978549*c^3-166023*c^2-14157*c-1287)/(c+1)^16, 0, -\ 1915538625*c*(37145*c^16-1188640*c^15+32180490*c^14+225059940*c^13+692074250*c^ 12+1311698024*c^11+1728592138*c^10+1680294044*c^9+1244978020*c^8+715537680*c^7+ 321663342*c^6+112876764*c^5+30852822*c^4+6126120*c^3+956670*c^2+77220*c+6435)/( c+1)^17, 0], [-2027025*c*(323*c^4+340*c^3+230*c^2+60*c+15)/(c+1)^5, 0, -2027025 *c*(1683*c^6+1636*c^5+1993*c^4+800*c^3+485*c^2+60*c+15)/(c+1)^7, 0, -6081075*c* (3003*c^8+6732*c^7+10928*c^6+7332*c^5+5598*c^4+1620*c^3+680*c^2+60*c+15)/(c+1)^ 9, 0, -30405375*c*(3003*c^10+15708*c^9+34035*c^8+43200*c^7+39990*c^6+21672*c^5+ 10718*c^4+2560*c^3+815*c^2+60*c+15)/(c+1)^11, 0, -212837625*c*(1683*c^12+20964* c^11+72234*c^10+144108*c^9+184425*c^8+161832*c^7+102396*c^6+44440*c^5+16213*c^4 +3380*c^3+890*c^2+60*c+15)/(c+1)^13, 0, -638512875*c*(969*c^14+47260*c^13+ 303495*c^12+931040*c^11+1709785*c^10+2111900*c^9+1853775*c^8+1197600*c^7+576195 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