#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
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*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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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^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
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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
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0, 6081075*c*(7293*c^7+9251*c^6+13453*c^5+5995*c^4+3695*c^3+385*c^2+135*c-15)/(
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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)^
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1105*c^11+28119*c^10+100347*c^9+177189*c^8+192618*c^7+140742*c^6+71862*c^5+
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3624192*c^7-1598025*c^6-535392*c^5-129987*c^4-27456*c^3+4719*c^2+429)/(c+1)^15,
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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
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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
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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
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+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
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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
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+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
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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
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*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, -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*
(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, 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, -54729675*c*(2261*c^14-62662*c^13+1456883*c^12+8502260*c^11+21873293*c^10+
34396934*c^9+37184147*c^8+29163992*c^7+17094935*c^6+7549542*c^5+2539537*c^4+
596596*c^3+111111*c^2+10010*c+1001)/(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], [405405*(85*c^4+60*c^3+34*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, 
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
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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
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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*
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60808404*c^14+339264744*c^13+846278524*c^12+1297028304*c^11+1398787962*c^10+
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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+
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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)/
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14175*(429*c^10+6006*c^9+19987*c^8+33208*c^7+33586*c^6+22260*c^5+10038*c^4+2968
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c^13+12465*c^12-81412*c^11+651289*c^10+1769598*c^9+3300717*c^8+3008040*c^7+
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40186125*(21*c^15-385*c^14+3455*c^13-20775*c^12+101765*c^11-651289*c^10-1474665
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c^12+1297028304*c^11+1398787962*c^10+1101450636*c^9+679662126*c^8+314913456*c^7
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#                                    3368.523