## SE5PQ.txt # List of shift operators # Pap,Pan,Pbp,Pbn,Ppp,Ppn,Pqp,Pqn,Pcp,Pgp,Pag,Prag,Pcpq,Prcpq,Pcn,Pgn # Qap,Qan,Qbp,Qbn,Qpp,Qpn,Qqp,Qqn,Qcp,Qgp,Qag,Qrag,Qcpq,Qrcpq # Qcn,Qgn are not computed yet # the corresponging shifts are # a+1, b+1, c+1, g+2, p+1, q+1 are denoted ap,bp,cp,gp,pp,qp,respectively # (c-1,p+1,q+1), (c+1,p-1,q-1) are denoted cpq, Rcpq respectively # (a+1,g-2), (a-1,g+2) are denoted ag, Rag respectively # Since Pcn and Pgn are long, their xzdx-decompositions in Chapter 2-2 # are also given. with(DEtools): Pap:=x^2*(x-1)^2*dx^4+x*(x-1)*(7*a*x+7*b*x+4*c*x+3*g*x+2*p*x+2*q*x-a-4*b-c- g-2*q+20*x-8)*dx^3+(18*a^2*x^2+36*a*b*x^2+20*a*c*x^2+15*a*g*x^2+10*a*p*x^2+10*a *q*x^2+18*b^2*x^2+20*b*c*x^2+15*b*g*x^2+10*b*p*x^2+10*b*q*x^2+4*c^2*x^2+8*c*g*x ^2+4*c*p*x^2+4*c*q*x^2+3*g^2*x^2+4*g*p*x^2+4*g*q*x^2+p^2*x^2+2*p*q*x^2+q^2*x^2- 8*a^2*x-28*a*b*x-10*a*c*x-8*a*g*x-4*a*p*x-11*a*q*x+93*a*x^2-20*b^2*x-18*b*c*x- 14*b*g*x-7*b*p*x-14*b*q*x+93*b*x^2-2*c^2*x-5*c*g*x-c*p*x-5*c*q*x+50*c*x^2-2*g^2 *x-2*g*p*x-5*g*q*x+39*g*x^2-2*p*q*x+25*p*x^2-2*q^2*x+25*q*x^2+2*a*b+a*q-60*a*x+ 4*b^2+2*b*c+2*b*g+4*b*q-90*b*x+c*q-36*c*x+g*q-30*g*x-14*p*x+q^2-32*q*x+120*x^2+ 3*a+14*b+3*c+3*g+7*q-100*x+12)*dx^2+(2*a+2*b+2*c+p+q+g+5)*(10*a^2*x+20*a*b*x+6* a*c*x+7*a*g*x+3*a*p*x+3*a*q*x+10*b^2*x+6*b*c*x+7*b*g*x+3*b*p*x+3*b*q*x+2*c*g*x+ g^2*x+g*p*x+g*q*x-6*a*b-3*a*q+44*a*x-6*b^2-2*b*c-3*b*g-3*b*q+44*b*x+12*c*x-g*q+ 16*g*x+6*p*x+6*q*x-8*a-20*b-2*c-4*g-6*q+48*x-16)*dx+(2*a+2*b+2*c+p+q+g+4)*(2*a+ 2*b+2*c+p+q+g+5)*(2*a+2*b+g+3)*(a+b+2): Qap:= x^2*(x-1)^2*dx^4+x*(x-1)*(7*a*x+7*b*x+4*c*x+3*g*x+2*p*x+2*q*x-a-4*b-c- g-2*q+25*x-9)*dx^3+(18*a^2*x^2+36*a*b*x^2+20*a*c*x^2+15*a*g*x^2+10*a*p*x^2+10*a *q*x^2+18*b^2*x^2+20*b*c*x^2+15*b*g*x^2+10*b*p*x^2+10*b*q*x^2+4*c^2*x^2+8*c*g*x ^2+4*c*p*x^2+4*c*q*x^2+3*g^2*x^2+4*g*p*x^2+4*g*q*x^2+p^2*x^2+2*p*q*x^2+q^2*x^2- 8*a^2*x-28*a*b*x-10*a*c*x-8*a*g*x-4*a*p*x-11*a*q*x+118*a*x^2-20*b^2*x-18*b*c*x- 14*b*g*x-7*b*p*x-14*b*q*x+118*b*x^2-2*c^2*x-5*c*g*x-c*p*x-5*c*q*x+62*c*x^2-2*g^ 2*x-2*g*p*x-5*g*q*x+49*g*x^2-2*p*q*x+31*p*x^2-2*q^2*x+31*q*x^2+2*a*b+a*q-73*a*x +4*b^2+2*b*c+2*b*g+4*b*q-111*b*x+c*q-42*c*x+g*q-36*g*x-16*p*x+q^2-39*q*x+192*x^ 2+3*a+16*b+3*c+3*g+8*q-149*x+15)*dx^2+(2*a+2*b+2*c+p+q+g+7)*(10*a^2*x+20*a*b*x+ 6*a*c*x+7*a*g*x+3*a*p*x+3*a*q*x+10*b^2*x+6*b*c*x+7*b*g*x+3*b*p*x+3*b*q*x+2*c*g* x+g^2*x+g*p*x+g*q*x-6*a*b-3*a*q+54*a*x-6*b^2-2*b*c-3*b*g-3*b*q+54*b*x+14*c*x-g* q+19*g*x+7*p*x+7*q*x-9*a-23*b-2*c-4*g-7*q+72*x-21)*dx+(2*a+2*b+2*c+p+q+g+6)*(2* a+2*b+2*c+p+q+g+7)*(2*a+2*b+g+4)*(a+b+2): Pant:= x^3*(x-1)^3*(4*a^3*x^2+8*a^2*b*x^2+8*a^2*g*x^2-2*a^2*p*x^2-2*a^ 2*q*x^2+4*a*b^2*x^2+10*a*b*g*x^2-2*a*b*p*x^2-2*a*b*q*x^2-4*a*c^2*x^2+2*a*c*g*x^ 2-6*a*c*p*x^2-2*a*c*q*x^2+5*a*g^2*x^2-a*g*p*x^2-a*g*q*x^2-2*a*p^2*x^2-2*a*p*q*x ^2+2*b^2*g*x^2-4*b*c^2*x^2+2*b*c*g*x^2-6*b*c*p*x^2-2*b*c*q*x^2+3*b*g^2*x^2-2*b* p^2*x^2-2*b*p*q*x^2-2*c^2*g*x^2+c*g^2*x^2-3*c*g*p*x^2-c*g*q*x^2+g^3*x^2-g*p^2*x ^2-g*p*q*x^2+12*a^3*x+16*a^2*b*x+24*a^2*c*x+12*a^2*g*x+18*a^2*p*x+2*a^2*q*x+2*a ^2*x^2+4*a*b^2*x+28*a*b*c*x+8*a*b*g*x+22*a*b*p*x+2*a*b*q*x+2*a*b*x^2+12*a*c^2*x +18*a*c*g*x+18*a*c*p*x+2*a*c*q*x-8*a*c*x^2+3*a*g^2*x+15*a*g*p*x+a*g*q*x+5*a*g*x ^2+6*a*p^2*x+2*a*p*q*x-7*a*p*x^2-3*a*q*x^2+4*b^2*c*x+4*b^2*p*x+12*b*c^2*x+8*b*c *g*x+18*b*c*p*x+2*b*c*q*x-8*b*c*x^2+8*b*g*p*x+3*b*g*x^2+6*b*p^2*x+2*b*p*q*x-6*b *p*x^2-2*b*q*x^2+6*c^2*g*x-2*c^2*x^2+3*c*g^2*x+9*c*g*p*x+c*g*q*x-3*c*g*x^2-3*c* p*x^2-c*q*x^2+3*g^2*p*x+2*g^2*x^2+3*g*p^2*x+g*p*q*x-3*g*p*x^2-g*q*x^2-p^2*x^2-p *q*x^2+4*a^3+12*a^2*c+4*a^2*g+8*a^2*p+30*a^2*x+30*a*b*x+12*a*c^2+8*a*c*g+16*a*c *p+36*a*c*x+a*g^2+6*a*g*p+21*a*g*x+5*a*p^2+27*a*p*x+3*a*q*x-4*a*x^2+4*b^2*x+26* b*c*x+8*b*g*x+20*b*p*x+2*b*q*x-4*b*x^2+4*c^3+4*c^2*g+8*c^2*p+6*c^2*x+c*g^2+6*c* g*p+15*c*g*x+5*c*p^2+9*c*p*x+c*q*x-4*c*x^2+g^2*p+3*g^2*x+2*g*p^2+12*g*p*x+g*q*x -g*x^2+p^3+3*p^2*x+p*q*x-3*p*x^2-q*x^2+10*a^2+20*a*c+7*a*g+13*a*p+24*a*x+14*b*x +10*c^2+7*c*g+13*c*p+12*c*x+g^2+5*g*p+9*g*x+4*p^2+9*p*x+q*x-2*x^2+8*a+8*c+3*g+5 *p+6*x+2)/(a+c+p+1)/(p+2+g+2*c+2*a)/(p+1+g+2*c+2*a)*dx^4+x^2*(x-1)^2*(28 *a^4*x^3+84*a^3*b*x^3+16*a^3*c*x^3+68*a^3*g*x^3-6*a^3*p*x^3-6*a^3*q*x^3+84*a^2* b^2*x^3+32*a^2*b*c*x^3+150*a^2*b*g*x^3-12*a^2*b*p*x^3-12*a^2*b*q*x^3-28*a^2*c^2 *x^3+46*a^2*c*g*x^3-50*a^2*c*p*x^3-22*a^2*c*q*x^3+59*a^2*g^2*x^3+3*a^2*g*p*x^3+ 3*a^2*g*q*x^3-18*a^2*p^2*x^3-22*a^2*p*q*x^3-4*a^2*q^2*x^3+28*a*b^3*x^3+16*a*b^2 *c*x^3+96*a*b^2*g*x^3-6*a*b^2*p*x^3-6*a*b^2*q*x^3-56*a*b*c^2*x^3+68*a*b*c*g*x^3 -92*a*b*c*p*x^3-36*a*b*c*q*x^3+86*a*b*g^2*x^3+7*a*b*g*p*x^3+7*a*b*g*q*x^3-32*a* b*p^2*x^3-36*a*b*p*q*x^3-4*a*b*q^2*x^3-16*a*c^3*x^3-18*a*c^2*g*x^3-32*a*c^2*p*x ^3-16*a*c^2*q*x^3+33*a*c*g^2*x^3-39*a*c*g*p*x^3-13*a*c*g*q*x^3-20*a*c*p^2*x^3-\ 24*a*c*p*q*x^3-4*a*c*q^2*x^3+22*a*g^3*x^3+7*a*g^2*p*x^3+7*a*g^2*q*x^3-15*a*g*p^ 2*x^3-17*a*g*p*q*x^3-2*a*g*q^2*x^3-4*a*p^3*x^3-8*a*p^2*q*x^3-4*a*p*q^2*x^3+14*b ^3*g*x^3-28*b^2*c^2*x^3+22*b^2*c*g*x^3-42*b^2*c*p*x^3-14*b^2*c*q*x^3+27*b^2*g^2 *x^3+4*b^2*g*p*x^3+4*b^2*g*q*x^3-14*b^2*p^2*x^3-14*b^2*p*q*x^3-16*b*c^3*x^3-18* b*c^2*g*x^3-32*b*c^2*p*x^3-16*b*c^2*q*x^3+25*b*c*g^2*x^3-35*b*c*g*p*x^3-9*b*c*g *q*x^3-20*b*c*p^2*x^3-24*b*c*p*q*x^3-4*b*c*q^2*x^3+16*b*g^3*x^3+6*b*g^2*p*x^3+6 *b*g^2*q*x^3-13*b*g*p^2*x^3-13*b*g*p*q*x^3-4*b*p^3*x^3-8*b*p^2*q*x^3-4*b*p*q^2* x^3-8*c^3*g*x^3-2*c^2*g^2*x^3-16*c^2*g*p*x^3-8*c^2*g*q*x^3+7*c*g^3*x^3-7*c*g^2* p*x^3-c*g^2*q*x^3-10*c*g*p^2*x^3-12*c*g*p*q*x^3-2*c*g*q^2*x^3+3*g^4*x^3+2*g^3*p *x^3+2*g^3*q*x^3-3*g^2*p^2*x^3-3*g^2*p*q*x^3-2*g*p^3*x^3-4*g*p^2*q*x^3-2*g*p*q^ 2*x^3+88*a^4*x^2+188*a^3*b*x^2+236*a^3*c*x^2+120*a^3*g*x^2+172*a^3*p*x^2+36*a^3 *q*x^2+94*a^3*x^3+112*a^2*b^2*x^2+460*a^2*b*c*x^2+154*a^2*b*g*x^2+358*a^2*b*p*x ^2+58*a^2*b*q*x^2+188*a^2*b*x^3+208*a^2*c^2*x^2+264*a^2*c*g*x^2+286*a^2*c*p*x^2 +82*a^2*c*q*x^2-48*a^2*c*x^3+50*a^2*g^2*x^2+214*a^2*g*p*x^2+28*a^2*g*q*x^2+201* a^2*g*x^3+88*a^2*p^2*x^2+64*a^2*p*q*x^2-85*a^2*p*x^3+8*a^2*q^2*x^2-57*a^2*q*x^3 +12*a*b^3*x^2+252*a*b^2*c*x^2+26*a*b^2*g*x^2+214*a*b^2*p*x^2+22*a*b^2*q*x^2+94* a*b^2*x^3+332*a*b*c^2*x^2+306*a*b*c*g*x^2+472*a*b*c*p*x^2+112*a*b*c*q*x^2-104*a *b*c*x^3+16*a*b*g^2*x^2+281*a*b*g*p*x^2+17*a*b*g*q*x^2+262*a*b*g*x^3+150*a*b*p^ 2*x^2+94*a*b*p*q*x^2-127*a*b*p*x^3+8*a*b*q^2*x^2-71*a*b*q*x^3+60*a*c^3*x^2+174* a*c^2*g*x^2+114*a*c^2*p*x^2+46*a*c^2*q*x^2-126*a*c^2*x^3+89*a*c*g^2*x^2+253*a*c *g*p*x^2+59*a*c*g*q*x^2+15*a*c*g*x^3+66*a*c*p^2*x^2+66*a*c*p*q*x^2-185*a*c*p*x^ 3+8*a*c*q^2*x^2-75*a*c*q*x^3+4*a*g^3*x^2+86*a*g^2*p*x^2+a*g^2*q*x^2+129*a*g^2*x ^3+80*a*g*p^2*x^2+54*a*g*p*q*x^2-52*a*g*p*x^3+4*a*g*q^2*x^2-26*a*g*q*x^3+12*a*p ^3*x^2+20*a*p^2*q*x^2-61*a*p^2*x^3+8*a*p*q^2*x^2-67*a*p*q*x^3-6*a*q^2*x^3+28*b^ 3*c*x^2-8*b^3*g*x^2+28*b^3*p*x^2+124*b^2*c^2*x^2+62*b^2*c*g*x^2+186*b^2*c*p*x^2 +30*b^2*c*q*x^2-56*b^2*c*x^3-14*b^2*g^2*x^2+74*b^2*g*p*x^2-4*b^2*g*q*x^2+61*b^2 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*q*x^2+444*p*x^3-2*q^2*x^2+108*q*x^3-60*x^4-20*a^3+260*a^2*b+68*a^2*c-78*a^2*g+ 72*a^2*p+128*a^2*q-1604*a^2*x+144*a*b^2+600*a*b*c+176*a*b*g+348*a*b*p+108*a*b*q -1448*a*b*x+196*a*c^2-22*a*c*g+246*a*c*p+252*a*c*q-2768*a*c*x-60*a*g^2+30*a*g*p +84*a*g*q-1197*a*g*x+68*a*p^2+150*a*p*q-1605*a*p*x+18*a*q^2-380*a*q*x+220*a*x^2 +8*b^3+152*b^2*c+54*b^2*g+90*b^2*p+8*b^2*q-192*b^2*x+340*b*c^2+212*b*c*g+388*b* c*p+108*b*c*q-1344*b*c*x+23*b*g^2+135*b*g*p+39*b*g*q-557*b*g*x+104*b*p^2+65*b*p *q-783*b*p*x+2*b*q^2-94*b*q*x-296*b*x^2+108*c^3+56*c^2*g+174*c^2*p+124*c^2*q-\ 1176*c^2*x-28*c*g^2+90*c*g*p+85*c*g*q-1036*c*g*x+84*c*p^2+145*c*p*q-1356*c*p*x+ 16*c*q^2-326*c*q*x+448*c*x^2-13*g^3-3*g^2*p+11*g^2*q-205*g^2*x+28*g*p^2+55*g*p* q-633*g*p*x+6*g*q^2-136*g*q*x+68*g*x^2+12*p^3+40*p^2*q-372*p^2*x+10*p*q^2-198*p *q*x+260*p*x^2-8*q^2*x-10*q*x^2+264*x^3+116*a^2+212*a*b+284*a*c+72*a*g+166*a*p+ 88*a*q-818*a*x+36*b^2+228*b*c+80*b*g+130*b*p+26*b*q-302*b*x+168*c^2+100*c*g+186 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9048*a*b*x+4024*a*c^2+3150*a*c*g+4074*a*c*p+1836*a*c*q+24*a*c*x+560*a*g^2+1690* a*g*p+656*a*g*q+2008*a*g*x+990*a*p^2+996*a*p*q+80*a*p*x+108*a*q^2+1732*a*q*x-\ 14864*a*x^2-64*b^3+744*b^2*c+278*b^2*g+382*b^2*p-56*b^2*q+4696*b^2*x+2668*b*c^2 +1896*b*c*g+2876*b*c*p+644*b*c*q+5168*b*c*x+341*b*g^2+1021*b*g*p+219*b*g*q+3212 *b*g*x+776*b*p^2+339*b*p*q+3164*b*p*x-8*b*q^2+2248*b*q*x-13184*b*x^2+1404*c^3+ 1686*c^2*g+2074*c^2*p+990*c^2*q-2456*c^2*x+606*c*g^2+1792*c*g*p+697*c*g*q+476*c *g*x+950*c*p^2+1071*c*p*q-2892*c*p*x+136*c*q^2+88*c*q*x-8024*c*x^2+66*g^3+340*g ^2*p+122*g^2*q+300*g^2*x+454*g*p^2+387*g*p*q+452*g*p*x+40*g*q^2+678*g*q*x-5752* g*x^2+132*p^3+283*p^2*q-952*p^2*x+74*p*q^2+162*p*q*x-5032*p*x^2+2*q^3+126*q^2*x -2382*q*x^2+4032*x^3+936*a^2+664*a*b+2152*a*c+776*a*g+1116*a*p+320*a*q+2696*a*x -68*b^2+944*b*c+298*b*g+500*b*p-2*b*q+3320*b*x+1216*c^2+886*c*g+1238*c*p+430*c* q+632*c*x+157*g^2+466*g*p+128*g*q+1108*g*x+309*p^2+226*p*q+388*p*x+16*q^2+524*q *x-3360*x^2+312*a+12*b+444*c+132*g+228*p+42*q+720*x+36)/(a+c+p+1)/(p+2+g +2*c+2*a)/(p+1+g+2*c+2*a): Qan:=numer(Qant): Pbp:= x^2*(x-1)^2*dx^4+x*(x-1)*(7*a*x+7*b*x+4*c*x+3*g*x+2*p*x+2*q*x-3*a-6*b-\ 3*c-2*g-2*q+20*x-12)*dx^3+(18*a^2*x^2+36*a*b*x^2+20*a*c*x^2+15*a*g*x^2+10*a*p*x ^2+10*a*q*x^2+18*b^2*x^2+20*b*c*x^2+15*b*g*x^2+10*b*p*x^2+10*b*q*x^2+4*c^2*x^2+ 8*c*g*x^2+4*c*p*x^2+4*c*q*x^2+3*g^2*x^2+4*g*p*x^2+4*g*q*x^2+p^2*x^2+2*p*q*x^2+q ^2*x^2-16*a^2*x-44*a*b*x-22*a*c*x-16*a*g*x-6*a*p*x-13*a*q*x+93*a*x^2-28*b^2*x-\ 30*b*c*x-22*b*g*x-9*b*p*x-16*b*q*x+93*b*x^2-6*c^2*x-11*c*g*x-3*c*p*x-7*c*q*x+50 *c*x^2-4*g^2*x-3*g*p*x-6*g*q*x+39*g*x^2-2*p*q*x+25*p*x^2-2*q^2*x+25*q*x^2+2*a^2 +10*a*b+4*a*c+3*a*g+3*a*q-96*a*x+10*b^2+10*b*c+7*b*g+6*b*q-126*b*x+2*c^2+3*c*g+ 3*c*q-64*c*x+g^2+2*g*q-48*g*x-18*p*x+q^2-36*q*x+120*x^2+17*a+36*b+17*c+12*g+11* q-140*x+32)*dx^2+(2*a+2*b+2*c+p+q+g+5)*(10*a^2*x+20*a*b*x+6*a*c*x+7*a*g*x+3*a*p *x+3*a*q*x+10*b^2*x+6*b*c*x+7*b*g*x+3*b*p*x+3*b*q*x+2*c*g*x+g^2*x+g*p*x+g*q*x-4 *a^2-14*a*b-4*a*c-4*a*g-3*a*q+44*a*x-10*b^2-6*b*c-7*b*g-3*b*q+44*b*x-2*c*g+12*c *x-g^2-g*q+16*g*x+6*p*x+6*q*x-24*a-36*b-10*c-12*g-6*q+48*x-32)*dx+(2*a+2*b+2*c+ p+q+g+4)*(2*a+2*b+2*c+p+q+g+5)*(2*a+2*b+g+3)*(a+b+2): Qbp:=x^2*(x-1)^2*dx^4+x*(x-1)*(7*a*x+7*b*x+4*c*x+3*g*x+2*p*x+2*q*x-3*a-6*b-\ 3*c-2*g-2*q+25*x-16)*dx^3+(18*a^2*x^2+36*a*b*x^2+20*a*c*x^2+15*a*g*x^2+10*a*p*x ^2+10*a*q*x^2+18*b^2*x^2+20*b*c*x^2+15*b*g*x^2+10*b*p*x^2+10*b*q*x^2+4*c^2*x^2+ 8*c*g*x^2+4*c*p*x^2+4*c*q*x^2+3*g^2*x^2+4*g*p*x^2+4*g*q*x^2+p^2*x^2+2*p*q*x^2+q ^2*x^2-16*a^2*x-44*a*b*x-22*a*c*x-16*a*g*x-6*a*p*x-13*a*q*x+118*a*x^2-28*b^2*x-\ 30*b*c*x-22*b*g*x-9*b*p*x-16*b*q*x+118*b*x^2-6*c^2*x-11*c*g*x-3*c*p*x-7*c*q*x+ 62*c*x^2-4*g^2*x-3*g*p*x-6*g*q*x+49*g*x^2-2*p*q*x+31*p*x^2-2*q^2*x+31*q*x^2+2*a ^2+10*a*b+4*a*c+3*a*g+3*a*q-125*a*x+10*b^2+10*b*c+7*b*g+6*b*q-163*b*x+2*c^2+3*c *g+3*c*q-82*c*x+g^2+2*g*q-62*g*x-23*p*x+q^2-46*q*x+192*x^2+23*a+48*b+23*c+16*g+ 15*q-235*x+58)*dx^2+(2*a+2*b+2*c+p+q+g+7)*(10*a^2*x+20*a*b*x+6*a*c*x+7*a*g*x+3* a*p*x+3*a*q*x+10*b^2*x+6*b*c*x+7*b*g*x+3*b*p*x+3*b*q*x+2*c*g*x+g^2*x+g*p*x+g*q* x-4*a^2-14*a*b-4*a*c-4*a*g-3*a*q+54*a*x-10*b^2-6*b*c-7*b*g-3*b*q+54*b*x-2*c*g+ 14*c*x-g^2-g*q+19*g*x+7*p*x+7*q*x-31*a-45*b-12*c-15*g-7*q+72*x-51)*dx+(2*a+2*b+ 2*c+p+q+g+6)*(2*a+2*b+2*c+p+q+g+7)*(2*a+2*b+g+4)*(a+b+2): p[4,0]:=1: Pbnt:= p[4,0]*x^3*(x-1)^3*(4*a^2*b*x^2+2*a^2*g*x^2+8*a*b^2*x^2+10*a*b*g*x^2-2 *a*b*p*x^2-2*a*b*q*x^2-4*a*c^2*x^2+2*a*c*g*x^2-2*a*c*p*x^2-6*a*c*q*x^2+3*a*g^2* x^2-2*a*p*q*x^2-2*a*q^2*x^2+4*b^3*x^2+8*b^2*g*x^2-2*b^2*p*x^2-2*b^2*q*x^2-4*b*c ^2*x^2+2*b*c*g*x^2-2*b*c*p*x^2-6*b*c*q*x^2+5*b*g^2*x^2-b*g*p*x^2-b*g*q*x^2-2*b* p*q*x^2-2*b*q^2*x^2-2*c^2*g*x^2+c*g^2*x^2-c*g*p*x^2-3*c*g*q*x^2+g^3*x^2-g*p*q*x ^2-g*q^2*x^2-12*a^2*b*x-4*a^2*c*x-4*a^2*g*x-4*a^2*q*x-32*a*b^2*x-28*a*b*c*x-28* a*b*g*x+2*a*b*p*x-18*a*b*q*x+2*a*b*x^2-4*a*c^2*x-12*a*c*g*x+2*a*c*p*x-6*a*c*q*x -8*a*c*x^2-6*a*g^2*x-8*a*g*q*x+3*a*g*x^2+2*a*p*q*x-2*a*p*x^2-2*a*q^2*x-6*a*q*x^ 2-20*b^3*x-24*b^2*c*x-28*b^2*g*x+2*b^2*p*x-14*b^2*q*x+2*b^2*x^2-4*b*c^2*x-22*b* c*g*x+2*b*c*p*x-6*b*c*q*x-8*b*c*x^2-13*b*g^2*x+b*g*p*x-13*b*g*q*x+5*b*g*x^2+2*b *p*q*x-3*b*p*x^2-2*b*q^2*x-7*b*q*x^2-2*c^2*g*x-2*c^2*x^2-5*c*g^2*x+c*g*p*x-3*c* g*q*x-3*c*g*x^2-c*p*x^2-3*c*q*x^2-2*g^3*x-3*g^2*q*x+2*g^2*x^2+g*p*q*x-g*p*x^2-g *q^2*x-3*g*q*x^2-p*q*x^2-q^2*x^2+8*a^2*b+4*a^2*c+2*a^2*g+4*a^2*q-4*a^2*x+24*a*b ^2+28*a*b*c+18*a*b*g+20*a*b*q-34*a*b*x+8*a*c^2+10*a*c*g+12*a*c*q-10*a*c*x+3*a*g ^2+8*a*g*q-14*a*g*x+2*a*p*x+4*a*q^2-8*a*q*x-4*a*x^2+20*b^3+36*b^2*c+24*b^2*g+24 *b^2*q-34*b^2*x+20*b*c^2+28*b*c*g+28*b*c*q-20*b*c*x+9*b*g^2+20*b*g*q-31*b*g*x+3 *b*p*x+9*b*q^2-13*b*q*x-4*b*x^2+4*c^3+8*c^2*g+8*c^2*q-2*c^2*x+5*c*g^2+12*c*g*q-\ 9*c*g*x+c*p*x+5*c*q^2-3*c*q*x-4*c*x^2+g^3+4*g^2*q-7*g^2*x+g*p*x+4*g*q^2-6*g*q*x -g*x^2+p*q*x-p*x^2+q^3-q^2*x-3*q*x^2+4*a^2+32*a*b+18*a*c+11*a*g+14*a*q-6*a*x+42 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*b*x+56*a^3*c^2+68*a^3*c*g+156*a^3*c*q-1340*a^3*c*x+20*a^3*g^2+96*a^3*g*q-826*a ^3*g*x-48*a^3*p*x+88*a^3*q^2-1136*a^3*q*x+1080*a^3*x^2+1464*a^2*b^3+1992*a^2*b^ 2*c+1272*a^2*b^2*g+1740*a^2*b^2*q-10288*a^2*b^2*x+792*a^2*b*c^2+1008*a^2*b*c*g+ 1528*a^2*b*c*q-10056*a^2*b*c*x+306*a^2*b*g^2+1022*a^2*b*g*q-6832*a^2*b*g*x-428* a^2*b*p*x+660*a^2*b*q^2-7624*a^2*b*q*x+8986*a^2*b*x^2+72*a^2*c^3+144*a^2*c^2*g+ 276*a^2*c^2*q-2464*a^2*c^2*x+90*a^2*c*g^2+374*a^2*c*g*q-3266*a^2*c*g*x-238*a^2* c*p*x+276*a^2*c*q^2-3716*a^2*c*q*x+4032*a^2*c*x^2+18*a^2*g^3+118*a^2*g^2*q-1047 *a^2*g^2*x-153*a^2*g*p*x+198*a^2*g*q^2-2638*a^2*g*q*x+3237*a^2*g*x^2-164*a^2*p* q*x+74*a^2*p*x^2+78*a^2*q^3-1332*a^2*q^2*x+2972*a^2*q*x^2-354*a^2*x^3+1896*a*b^ 4+3776*a*b^3*c+2456*a*b^3*g+2836*a*b^3*q-14844*a*b^3*x+2576*a*b^2*c^2+3396*a*b^ 2*c*g+4060*a*b^2*c*q-22152*a*b^2*c*x+1062*a*b^2*g^2+2774*a*b^2*g*q-15586*a*b^2* g*x-1046*a*b^2*p*x+1510*a*b^2*q^2-15480*a*b^2*q*x+18218*a*b^2*x^2+672*a*b*c^3+ 1352*a*b*c^2*g+1708*a*b*c^2*q-10692*a*b*c^2*x+850*a*b*c*g^2+2406*a*b*c*g*q-\ 14998*a*b*c*g*x-1156*a*b*c*p*x+1348*a*b*c*q^2-15090*a*b*c*q*x+16504*a*b*c*x^2+ 168*a*b*g^3+790*a*b*g^2*q-5082*a*b*g^2*x-761*a*b*g*p*x+989*a*b*g*q^2-11057*a*b* g*q*x+13761*a*b*g*x^2-761*a*b*p*q*x+753*a*b*p*x^2+331*a*b*q^3-5089*a*b*q^2*x+ 11072*a*b*q*x^2-2318*a*b*x^3+40*a*c^4+116*a*c^3*g+180*a*c^3*q-1664*a*c^3*x+116* a*c^2*g^2+404*a*c^2*g*q-3500*a*c^2*g*x-324*a*c^2*p*x+246*a*c^2*q^2-3506*a*c^2*q *x+3928*a*c^2*x^2+48*a*c*g^3+272*a*c*g^2*q-2336*a*c*g^2*x-408*a*c*g*p*x+389*a*c *g*q^2-5207*a*c*g*q*x+6122*a*c*g*x^2-435*a*c*p*q*x+431*a*c*p*x^2+131*a*c*q^3-\ 2375*a*c*q^2*x+5236*a*c*q*x^2-328*a*c*x^3+7*a*g^4+56*a*g^3*q-500*a*g^3*x-127*a* g^2*p*x+138*a*g^2*q^2-1846*a*g^2*q*x+2495*a*g^2*x^2-292*a*g*p*q*x+332*a*g*p*x^2 +108*a*g*q^3-1837*a*g*q^2*x+4288*a*g*q*x^2-1064*a*g*x^3-17*a*p^2*x^2-132*a*p*q^ 2*x+243*a*p*q*x^2+202*a*p*x^3+24*a*q^4-519*a*q^3*x+1650*a*q^2*x^2-222*a*q*x^3-\ 214*a*x^4+880*b^5+2344*b^4*c+1528*b^4*g+1568*b^4*q-7324*b^4*x+2328*b^3*c^2+3104 *b^3*c*g+3196*b^3*c*q-14852*b^3*c*x+980*b^3*g^2+2188*b^3*g*q-10636*b^3*g*x-828* b^3*p*x+1048*b^3*q^2-9690*b^3*q*x+10720*b^3*x^2+1056*b^2*c^3+2156*b^2*c^2*g+ 2232*b^2*c^2*q-10856*b^2*c^2*x+1382*b^2*c*g^2+3158*b^2*c*g*q-15674*b^2*c*g*x-\ 1390*b^2*c*p*x+1498*b^2*c*q^2-14294*b^2*c*q*x+14472*b^2*c*x^2+278*b^2*g^3+1048* b^2*g^2*q-5463*b^2*g^2*x-886*b^2*g*p*x+1094*b^2*g*q^2-10635*b^2*g*q*x+12384*b^2 *g*x^2-898*b^2*p*q*x+1007*b^2*p*x^2+320*b^2*q^3-4536*b^2*q^2*x+9244*b^2*q*x^2-\ 2132*b^2*x^3+200*b*c^4+564*b*c^3*g+592*b*c^3*q-3412*b*c^3*x+556*b*c^2*g^2+1316* b*c^2*g*q-7374*b*c^2*g*x-756*b*c^2*p*x+620*b*c^2*q^2-6704*b*c^2*q*x+6588*b*c^2* x^2+226*b*c*g^3+904*b*c*g^2*q-5138*b*c*g^2*x-951*b*c*g*p*x+957*b*c*g*q^2-10093* b*c*g*q*x+10850*b*c*g*x^2-999*b*c*p*q*x+1163*b*c*p*x^2+273*b*c*q^3-4261*b*c*q^2 *x+8484*b*c*q*x^2-832*b*c*x^3+32*b*g^4+191*b*g^3*q-1148*b*g^3*x-294*b*g^2*p*x+ 343*b*g^2*q^2-3669*b*g^2*q*x+4594*b*g^2*x^2-650*b*g*p*q*x+794*b*g*p*x^2+217*b*g *q^3-3306*b*g*q^2*x+7172*b*g*q*x^2-1968*b*g*x^3-7*b*p^2*x^2-310*b*p*q^2*x+699*b *p*q*x^2+202*b*p*x^3+43*b*q^4-881*b*q^3*x+2606*b*q^2*x^2-450*b*q*x^3-214*b*x^4+ 8*c^5+32*c^4*g+36*c^4*q-356*c^4*x+46*c^3*g^2+126*c^3*g*q-1080*c^3*g*x-122*c^3*p *x+58*c^3*q^2-948*c^3*q*x+1092*c^3*x^2+30*c^2*g^3+142*c^2*g^2*q-1145*c^2*g^2*x-\ 245*c^2*g*p*x+157*c^2*g*q^2-2208*c^2*g*q*x+2408*c^2*g*x^2-249*c^2*p*q*x+380*c^2 *p*x^2+43*c^2*q^3-921*c^2*q^2*x+2054*c^2*q*x^2-48*c^2*x^3+9*c*g^4+62*c*g^3*q-\ 507*c*g^3*x-151*c*g^2*p*x+125*c*g^2*q^2-1645*c*g^2*q*x+1941*c*g^2*x^2-339*c*g*p *q*x+410*c*g*p*x^2+77*c*g*q^3-1456*c*g*q^2*x+3219*c*g*q*x^2-398*c*g*x^3+10*c*p^ 2*x^2-162*c*p*q^2*x+484*c*p*q*x^2+78*c*p*x^3+15*c*q^4-388*c*q^3*x+1238*c*q^2*x^ 2-54*c*q*x^3-144*c*x^4+g^5+9*g^4*q-80*g^4*x-29*g^3*p*x+29*g^3*q^2-387*g^3*q*x+ 541*g^3*x^2-112*g^2*p*q*x+150*g^2*p*x^2+32*g^2*q^3-562*g^2*q^2*x+1342*g^2*q*x^2 -451*g^2*x^3-2*g*p^2*x^2-108*g*p*q^2*x+262*g*p*q*x^2+53*g*p*x^3+13*g*q^4-311*g* q^3*x+1013*g*q^2*x^2-219*g*q*x^3-62*g*x^4+4*p^2*q*x^2+12*p^2*x^3-34*p*q^3*x+144 *p*q^2*x^2+72*p*q*x^3-42*p*x^4+2*q^5-60*q^4*x+242*q^3*x^2-12*q^2*x^3-102*q*x^4+ 16*a^4+400*a^3*b+160*a^3*c+92*a^3*g+180*a^3*q-756*a^3*x+2020*a^2*b^2+1796*a^2*b *c+1144*a^2*b*g+1630*a^2*b*q-6528*a^2*b*x+348*a^2*c^2+450*a^2*c*g+700*a^2*c*q-\ 3250*a^2*c*x+138*a^2*g^2+467*a^2*g*q-2137*a^2*g*x-114*a^2*p*x+316*a^2*q^2-2526* a^2*q*x+1820*a^2*x^2+3628*a*b^3+5260*a*b^2*c+3476*a*b^2*g+4106*a*b^2*q-14942*a* b^2*x+2312*a*b*c^2+3106*a*b*c*g+3812*a*b*c*q-14918*a*b*c*x+987*a*b*g^2+2653*a*b *g*q-10460*a*b*g*x-622*a*b*p*x+1472*a*b*q^2-10627*a*b*q*x+8604*a*b*x^2+280*a*c^ 3+584*a*c^2*g+772*a*c^2*q-3694*a*c^2*x+380*a*c*g^2+1112*a*c*g*q-5115*a*c*g*x-\ 358*a*c*p*x+642*a*c*q^2-5253*a*c*q*x+3984*a*c*x^2+78*a*g^3+371*a*g^2*q-1710*a*g ^2*x-230*a*g*p*x+482*a*g*q^2-3845*a*g*q*x+3230*a*g*x^2-235*a*p*q*x+99*a*p*x^2+ 163*a*q^3-1784*a*q^2*x+2754*a*q*x^2-160*a*x^3+2172*b^4+4468*b^3*c+2984*b^3*g+ 3128*b^3*q-10214*b^3*x+3200*b^2*c^2+4376*b^2*c*g+4622*b^2*c*q-15468*b^2*c*x+ 1415*b^2*g^2+3248*b^2*g*q-11135*b^2*g*x-784*b^2*p*x+1595*b^2*q^2-10347*b^2*q*x+ 8188*b^2*x^2+916*b*c^3+1926*b*c^2*g+2062*b*c^2*q-7618*b*c^2*x+1271*b*c*g^2+3003 *b*c*g*q-10963*b*c*g*x-898*b*c*p*x+1474*b*c*q^2-10243*b*c*q*x+7528*b*c*x^2+263* b*g^3+1024*b*g^2*q-3822*b*g^2*x-571*b*g*p*x+1106*b*g*q^2-7649*b*g*q*x+6336*b*g* x^2-582*b*p*q*x+413*b*p*x^2+335*b*q^3-3315*b*q^2*x+4898*b*q*x^2-532*b*x^3+76*c^ 4+226*c^3*g+252*c^3*q-1212*c^3*x+234*c^2*g^2+585*c^2*g*q-2616*c^2*g*x-250*c^2*p *x+291*c^2*q^2-2440*c^2*q*x+1856*c^2*x^2+100*c*g^3+417*c*g^2*q-1815*c*g^2*x-314 *c*g*p*x+465*c*g*q^2-3674*c*g*q*x+2858*c*g*x^2-333*c*p*q*x+282*c*p*x^2+140*c*q^ 3-1585*c*q^2*x+2386*c*q*x^2-60*c*x^3+15*g^4+91*g^3*q-404*g^3*x-97*g^2*p*x+172*g ^2*q^2-1338*g^2*q*x+1181*g^2*x^2-216*g*p*q*x+166*g*p*x^2+114*g*q^3-1232*g*q^2*x +1933*g*q*x^2-254*g*x^3-2*p^2*x^2-104*p*q^2*x+166*p*q*x^2+60*p*x^3+24*q^4-334*q ^3*x+732*q^2*x^2-36*q*x^3-60*x^4+104*a^3+1188*a^2*b+524*a^2*c+328*a^2*g+492*a^2 *q-1442*a^2*x+3356*a*b^2+3176*a*b*c+2118*a*b*g+2560*a*b*q-7158*a*b*x+684*a*c^2+ 928*a*c*g+1168*a*c*q-3624*a*c*x+297*a*g^2+822*a*g*q-2499*a*g*x-130*a*p*x+464*a* q^2-2623*a*q*x+1468*a*x^2+2764*b^3+4144*b^2*c+2826*b^2*g+3008*b^2*q-7672*b^2*x+ 1924*b*c^2+2684*b*c*g+2888*b*c*q-7776*b*c*x+884*b*g^2+2077*b*g*q-5599*b*g*x-352 *b*p*x+1033*b*q^2-5285*b*q*x+3100*b*x^2+264*c^3+568*c^2*g+626*c^2*q-1960*c^2*x+ 383*c*g^2+934*c*g*q-2790*c*g*x-208*c*p*x+467*c*q^2-2654*c*q*x+1492*c*x^2+81*g^3 +325*g^2*q-964*g^2*x-131*g*p*x+360*g*q^2-1984*g*q*x+1202*g*x^2-134*p*q*x+62*p*x ^2+110*q^3-864*q^2*x+980*q*x^2-24*x^3+248*a^2+1496*a*b+700*a*c+466*a*g+580*a*q-\ 1298*a*x+1908*b^2+1868*b*c+1296*b*g+1392*b*q-2930*b*x+428*c^2+604*c*g+658*c*q-\ 1508*c*x+201*g^2+483*g*q-1078*g*x-60*p*x+240*q^2-1030*q*x+456*x^2+256*a+676*b+ 328*c+230*g+248*q-444*x+96)/(8*a^2*b+4*a^2*c+2*a^2*g+4*a^2*q+24*a*b^2+28*a*b*c+ 18*a*b*g+20*a*b*q+8*a*c^2+10*a*c*g+12*a*c*q+3*a*g^2+8*a*g*q+4*a*q^2+20*b^3+36*b ^2*c+24*b^2*g+24*b^2*q+20*b*c^2+28*b*c*g+28*b*c*q+9*b*g^2+20*b*g*q+9*b*q^2+4*c^ 3+8*c^2*g+8*c^2*q+5*c*g^2+12*c*g*q+5*c*q^2+g^3+4*g^2*q+4*g*q^2+q^3+4*a^2+32*a*b +18*a*c+11*a*g+14*a*q+42*b^2+48*b*c+33*b*g+33*b*q+14*c^2+19*c*g+19*c*q+6*g^2+14 *g*q+6*q^2+10*a+28*b+16*c+11*g+11*q+6): Pbn:=numer(Pbnt): p[4,0]:=1: Qbnt:= p[4,0]*x^3*(x-1)^3*(4*a^2*b*x^2+2*a^2*g*x^2+8*a*b^2*x^2+10*a*b*g*x^2-2 *a*b*p*x^2-2*a*b*q*x^2-4*a*c^2*x^2+2*a*c*g*x^2-2*a*c*p*x^2-6*a*c*q*x^2+3*a*g^2* x^2-2*a*p*q*x^2-2*a*q^2*x^2+4*b^3*x^2+8*b^2*g*x^2-2*b^2*p*x^2-2*b^2*q*x^2-4*b*c ^2*x^2+2*b*c*g*x^2-2*b*c*p*x^2-6*b*c*q*x^2+5*b*g^2*x^2-b*g*p*x^2-b*g*q*x^2-2*b* p*q*x^2-2*b*q^2*x^2-2*c^2*g*x^2+c*g^2*x^2-c*g*p*x^2-3*c*g*q*x^2+g^3*x^2-g*p*q*x ^2-g*q^2*x^2-12*a^2*b*x-4*a^2*c*x-4*a^2*g*x-4*a^2*q*x-32*a*b^2*x-28*a*b*c*x-28* 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3372*b*p*q*x+984*b*p*x^2+1478*b*q^3-12242*b*q^2*x+16048*b*q*x^2+928*b*x^3+156*c ^4+504*c^3*g+54*c^3*p+804*c^3*q-4064*c^3*x+571*c^2*g^2+109*c^2*g*p+1900*c^2*g*q -9052*c^2*g*x+193*c^2*p*q-1512*c^2*p*x+1161*c^2*q^2-8644*c^2*q*x+6016*c^2*x^2+ 273*c*g^3+69*c*g^2*p+1457*c*g^2*q-7264*c*g^2*x+248*c*g*p*q-1838*c*g*p*x+1833*c* g*q^2-13372*c*g*q*x+11444*c*g*x^2-80*c*p^2*x+179*c*p*q^2-2066*c*p*q*x+930*c*p*x ^2+649*c*q^3-5916*c*q^2*x+7020*c*q*x^2+3280*c*x^3+47*g^4+14*g^3*p+358*g^3*q-\ 1985*g^3*x+82*g^2*p*q-675*g^2*p*x+712*g^2*q^2-5587*g^2*q*x+7140*g^2*x^2-34*g*p^ 2*x+112*g*p*q^2-1238*g*p*q*x+648*g*p*x^2+514*g*q^3-4715*g*q^2*x+7004*g*q*x^2-\ 496*g*x^3-46*p^2*q*x-42*p^2*x^2+48*p*q^3-655*p*q^2*x+198*p*q*x^2+1436*p*x^3+125 *q^4-1305*q^3*x+1928*q^2*x^2+2576*q*x^3-1344*x^4+316*a^3+3204*a^2*b+1208*a^2*c+ 862*a^2*g+46*a^2*p+1298*a^2*q-4680*a^2*x+8572*a*b^2+7252*a*b*c+5306*a*b*g+298*a *b*p+6662*a*b*q-22312*a*b*x+1296*a*c^2+1916*a*c*g+120*a*c*p+2756*a*c*q-9872*a*c *x+694*a*g^2+85*a*g*p+2090*a*g*q-8372*a*g*x+105*a*p*q-452*a*p*x+1256*a*q^2-7308 *a*q*x+3712*a*x^2+6536*b^3+9012*b^2*c+6660*b^2*g+456*b^2*p+7364*b^2*q-22288*b^2 *x+3744*b*c^2+5558*b*c*g+434*b*c*p+6618*b*c*q-20136*b*c*x+2038*b*g^2+278*b*g*p+ 5044*b*g*q-17224*b*g*x+346*b*p*q-1424*b*p*x+2686*b*q^2-14224*b*q*x+9520*b*x^2+ 404*c^3+926*c^2*g+86*c^2*p+1306*c^2*q-4760*c^2*x+698*c*g^2+105*c*g*p+2016*c*g*q -7476*c*g*x+167*c*p*q-884*c*p*x+1178*c*q^2-6732*c*q*x+3256*c*x^2+171*g^3+34*g^2 *p+773*g^2*q-3220*g^2*x+102*g*p*q-556*g*p*x+921*g*q^2-5516*g*q*x+4280*g*x^2-12* p^2*x+68*p*q^2-532*p*q*x-162*p*x^2+319*q^3-2296*q^2*x+1832*q*x^2+1344*x^3+444*a ^2+2584*a*b+1024*a*c+770*a*g+32*a*p+1006*a*q-2904*a*x+3136*b^2+2720*b*c+2068*b* g+116*b*p+2364*b*q-6408*b*x+520*c^2+790*c*g+56*c*p+1014*c*q-2904*c*x+301*g^2+34 *g*p+786*g*q-2484*g*x+46*p*q-156*p*x+437*q^2-2052*q*x+672*x^2+308*a+800*b+332*c +256*g+12*p+304*q-720*x+84)/(8*a^2*b+4*a^2*c+2*a^2*g+4*a^2*q+24*a*b^2+28*a*b*c+ 18*a*b*g+20*a*b*q+8*a*c^2+10*a*c*g+12*a*c*q+3*a*g^2+8*a*g*q+4*a*q^2+20*b^3+36*b ^2*c+24*b^2*g+24*b^2*q+20*b*c^2+28*b*c*g+28*b*c*q+9*b*g^2+20*b*g*q+9*b*q^2+4*c^ 3+8*c^2*g+8*c^2*q+5*c*g^2+12*c*g*q+5*c*q^2+g^3+4*g^2*q+4*g*q^2+q^3+4*a^2+32*a*b +18*a*c+11*a*g+14*a*q+42*b^2+48*b*c+33*b*g+33*b*q+14*c^2+19*c*g+19*c*q+6*g^2+14 *g*q+6*q^2+10*a+28*b+16*c+11*g+11*q+6): Qbn:=numer(Qbnt): Ppp:=x*dx+2*a+2*b+2*c+g+q+p+4: Qpp:=x*dx+2*a+2*b+2*c+g+q+p+6: Ppn:=-x^4*(x-1)^3*dx^4-x^3*(x-1)^2*(7*a*x+7*b*x+4*c*x+3*g*x+2*p*x+2*q*x-a-4 *b-c-g+p-2*q+20*x-8)*dx^3-x^2*(x-1)*(18*a^2*x^2+36*a*b*x^2+20*a*c*x^2+15*a*g*x^ 2+10*a*p*x^2+10*a*q*x^2+18*b^2*x^2+20*b*c*x^2+15*b*g*x^2+10*b*p*x^2+10*b*q*x^2+ 4*c^2*x^2+8*c*g*x^2+4*c*p*x^2+4*c*q*x^2+3*g^2*x^2+4*g*p*x^2+4*g*q*x^2+p^2*x^2+2 *p*q*x^2+q^2*x^2-6*a^2*x-26*a*b*x-8*a*c*x-7*a*g*x+a*p*x-11*a*q*x+93*a*x^2-20*b^ 2*x-18*b*c*x-14*b*g*x-2*b*p*x-14*b*q*x+93*b*x^2-2*c^2*x-5*c*g*x+c*p*x-5*c*q*x+ 50*c*x^2-2*g^2*x-5*g*q*x+39*g*x^2+p^2*x-p*q*x+25*p*x^2-2*q^2*x+25*q*x^2+2*a*b+a *p+a*q-54*a*x+4*b^2+2*b*c+2*b*g-2*b*p+4*b*q-88*b*x+c*p+c*q-34*c*x+g*q-29*g*x+p^ 2-p*q-2*p*x+q^2-32*q*x+120*x^2+3*a+14*b+3*c+3*g-2*p+7*q-96*x+12)*dx^2-x*(20*a^3 *x^3+60*a^2*b*x^3+32*a^2*c*x^3+24*a^2*g*x^3+16*a^2*p*x^3+16*a^2*q*x^3+60*a*b^2* x^3+64*a*b*c*x^3+48*a*b*g*x^3+32*a*b*p*x^3+32*a*b*q*x^3+12*a*c^2*x^3+24*a*c*g*x ^3+12*a*c*p*x^3+12*a*c*q*x^3+9*a*g^2*x^3+12*a*g*p*x^3+12*a*g*q*x^3+3*a*p^2*x^3+ 6*a*p*q*x^3+3*a*q^2*x^3+20*b^3*x^3+32*b^2*c*x^3+24*b^2*g*x^3+16*b^2*p*x^3+16*b^ 2*q*x^3+12*b*c^2*x^3+24*b*c*g*x^3+12*b*c*p*x^3+12*b*c*q*x^3+9*b*g^2*x^3+12*b*g* p*x^3+12*b*g*q*x^3+3*b*p^2*x^3+6*b*p*q*x^3+3*b*q^2*x^3+4*c^2*g*x^3+4*c*g^2*x^3+ 4*c*g*p*x^3+4*c*g*q*x^3+g^3*x^3+2*g^2*p*x^3+2*g^2*q*x^3+g*p^2*x^3+2*g*p*q*x^3+g *q^2*x^3-12*a^3*x^2-56*a^2*b*x^2-20*a^2*c*x^2-16*a^2*g*x^2-6*a^2*p*x^2-20*a^2*q *x^2+138*a^2*x^3-76*a*b^2*x^2-68*a*b*c*x^2-52*a*b*g*x^2-20*a*b*p*x^2-48*a*b*q*x ^2+276*a*b*x^3-8*a*c^2*x^2-18*a*c*g*x^2-4*a*c*p*x^2-16*a*c*q*x^2+142*a*c*x^3-7* a*g^2*x^2-5*a*g*p*x^2-16*a*g*q*x^2+111*a*g*x^3-6*a*p*q*x^2+71*a*p*x^3-6*a*q^2*x ^2+71*a*q*x^3-32*b^3*x^2-48*b^2*c*x^2-36*b^2*g*x^2-14*b^2*p*x^2-28*b^2*q*x^2+ 138*b^2*x^3-16*b*c^2*x^2-32*b*c*g*x^2-8*b*c*p*x^2-20*b*c*q*x^2+142*b*c*x^3-12*b *g^2*x^2-9*b*g*p*x^2-20*b*g*q*x^2+111*b*g*x^3-6*b*p*q*x^2+71*b*p*x^3-6*b*q^2*x^ 2+71*b*q*x^3-4*c^2*g*x^2+24*c^2*x^3-4*c*g^2*x^2-2*c*g*p*x^2-6*c*g*q*x^2+54*c*g* x^3+24*c*p*x^3+24*c*q*x^3-g^3*x^2-g^2*p*x^2-3*g^2*q*x^2+21*g^2*x^3-2*g*p*q*x^2+ 27*g*p*x^3-2*g*q^2*x^2+27*g*q*x^3+6*p^2*x^3+12*p*q*x^3+6*q^2*x^3+8*a^2*b*x+4*a^ 2*q*x-114*a^2*x^2+20*a*b^2*x+12*a*b*c*x+10*a*b*g*x+16*a*b*q*x-314*a*b*x^2+4*a*c *q*x-126*a*c*x^2+4*a*g*q*x-103*a*g*x^2-39*a*p*x^2+3*a*q^2*x-100*a*q*x^2+316*a*x ^3+12*b^3*x+16*b^2*c*x+12*b^2*g*x+12*b^2*q*x-200*b^2*x^2+4*b*c^2*x+8*b*c*g*x+8* b*c*q*x-184*b*c*x^2+3*b*g^2*x+8*b*g*q*x-146*b*g*x^2-55*b*p*x^2+3*b*q^2*x-116*b* q*x^2+316*b*x^3-24*c^2*x^2+2*c*g*q*x-58*c*g*x^2-12*c*p*x^2-36*c*q*x^2+156*c*x^3 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*q*x^2+562*b*c*x^2+449*b*g*x^2+167*b*p*x^2+353*b*q*x^2+174*c*g*x^2+36*c*p*x^2+ 108*c*q*x^2+51*g*p*x^2+123*g*q*x^2+36*p*q*x^2-196*a*b*x+4*c^2*g*p+c*g^2*p+12*a* c^2*p+a*g^2*p+4*b*c^2*p-x^4*(x-1)^3*dx^4-360*x+6*a+28*b+6*c+6*g+14*q+4*a*b+2*a* q+4*b*c+8*b^2+4*b*g+8*b*q+2*c*q+2*g*q+2*q^2: Pqp:=(x-1)*dx+2*a+2*b+2*c+g+q+p+4: Qqp:= (x-1)*dx+2*a+2*b+2*c+g+q+p+6: Pqn:= x^3*(x-1)^4*dx^4+x^2*(x-1)^3*(7*a*x+7*b*x+4*c*x+3*g*x+2*p*x+2*q*x-3*a-\ 6*b-3*c-2*g-3*q+20*x-12)*dx^3+x*(x-1)^2*(18*a^2*x^2+36*a*b*x^2+20*a*c*x^2+15*a* g*x^2+10*a*p*x^2+10*a*q*x^2+18*b^2*x^2+20*b*c*x^2+15*b*g*x^2+10*b*p*x^2+10*b*q* x^2+4*c^2*x^2+8*c*g*x^2+4*c*p*x^2+4*c*q*x^2+3*g^2*x^2+4*g*p*x^2+4*g*q*x^2+p^2*x ^2+2*p*q*x^2+q^2*x^2-16*a^2*x-46*a*b*x-22*a*c*x-16*a*g*x-6*a*p*x-18*a*q*x+93*a* x^2-30*b^2*x-32*b*c*x-23*b*g*x-9*b*p*x-21*b*q*x+93*b*x^2-6*c^2*x-11*c*g*x-3*c*p *x-9*c*q*x+50*c*x^2-4*g^2*x-3*g*p*x-8*g*q*x+39*g*x^2-3*p*q*x+25*p*x^2-3*q^2*x+ 25*q*x^2+2*a^2+12*a*b+4*a*c+3*a*g+6*a*q-98*a*x+12*b^2+12*b*c+8*b*g+12*b*q-132*b *x+2*c^2+3*c*g+6*c*q-66*c*x+g^2+4*g*q-49*g*x-18*p*x+3*q^2-48*q*x+120*x^2+19*a+ 42*b+19*c+13*g+21*q-144*x+36)*dx^2+(x-1)*(20*a^3*x^3+60*a^2*b*x^3+32*a^2*c*x^3+ 24*a^2*g*x^3+16*a^2*p*x^3+16*a^2*q*x^3+60*a*b^2*x^3+64*a*b*c*x^3+48*a*b*g*x^3+ 32*a*b*p*x^3+32*a*b*q*x^3+12*a*c^2*x^3+24*a*c*g*x^3+12*a*c*p*x^3+12*a*c*q*x^3+9 *a*g^2*x^3+12*a*g*p*x^3+12*a*g*q*x^3+3*a*p^2*x^3+6*a*p*q*x^3+3*a*q^2*x^3+20*b^3 *x^3+32*b^2*c*x^3+24*b^2*g*x^3+16*b^2*p*x^3+16*b^2*q*x^3+12*b*c^2*x^3+24*b*c*g* x^3+12*b*c*p*x^3+12*b*c*q*x^3+9*b*g^2*x^3+12*b*g*p*x^3+12*b*g*q*x^3+3*b*p^2*x^3 +6*b*p*q*x^3+3*b*q^2*x^3+4*c^2*g*x^3+4*c*g^2*x^3+4*c*g*p*x^3+4*c*g*q*x^3+g^3*x^ 3+2*g^2*p*x^3+2*g^2*q*x^3+g*p^2*x^3+2*g*p*q*x^3+g*q^2*x^3-28*a^3*x^2-104*a^2*b* x^2-48*a^2*c*x^2-36*a^2*g*x^2-20*a^2*p*x^2-34*a^2*q*x^2+138*a^2*x^3-124*a*b^2*x ^2-124*a*b*c*x^2-92*a*b*g*x^2-48*a*b*p*x^2-76*a*b*q*x^2+276*a*b*x^3-20*a*c^2*x^ 2-40*a*c*g*x^2-16*a*c*p*x^2-28*a*c*q*x^2+142*a*c*x^3-15*a*g^2*x^2-16*a*g*p*x^2-\ 27*a*g*q*x^2+111*a*g*x^3-3*a*p^2*x^2-12*a*p*q*x^2+71*a*p*x^3-9*a*q^2*x^2+71*a*q *x^3-48*b^3*x^2-76*b^2*c*x^2-56*b^2*g*x^2-28*b^2*p*x^2-42*b^2*q*x^2+138*b^2*x^3 -28*b*c^2*x^2-54*b*c*g*x^2-20*b*c*p*x^2-32*b*c*q*x^2+142*b*c*x^3-20*b*g^2*x^2-\ 20*b*g*p*x^2-31*b*g*q*x^2+111*b*g*x^3-3*b*p^2*x^2-12*b*p*q*x^2+71*b*p*x^3-9*b*q ^2*x^2+71*b*q*x^3-8*c^2*g*x^2+24*c^2*x^3-8*c*g^2*x^2-6*c*g*p*x^2-10*c*g*q*x^2+ 54*c*g*x^3+24*c*p*x^3+24*c*q*x^3-2*g^3*x^2-3*g^2*p*x^2-5*g^2*q*x^2+21*g^2*x^3-g *p^2*x^2-4*g*p*q*x^2+27*g*p*x^3-3*g*q^2*x^2+27*g*q*x^3+6*p^2*x^3+12*p*q*x^3+6*q ^2*x^3+8*a^3*x+48*a^2*b*x+16*a^2*c*x+12*a^2*g*x+4*a^2*p*x+20*a^2*q*x-214*a^2*x^ 2+76*a*b^2*x+68*a*b*c*x+50*a*b*g*x+16*a*b*p*x+56*a*b*q*x-514*a*b*x^2+8*a*c^2*x+ 16*a*c*g*x+4*a*c*p*x+20*a*c*q*x-242*a*c*x^2+6*a*g^2*x+4*a*g*p*x+18*a*g*q*x-187* a*g*x^2+6*a*p*q*x-97*a*p*x^2+9*a*q^2*x-158*a*q*x^2+316*a*x^3+36*b^3*x+56*b^2*c* x+40*b^2*g*x+12*b^2*p*x+36*b^2*q*x-300*b^2*x^2+20*b*c^2*x+36*b*c*g*x+8*b*c*p*x+ 28*b*c*q*x-300*b*c*x^2+13*b*g^2*x+8*b*g*p*x+26*b*g*q*x-230*b*g*x^2+6*b*p*q*x-\ 113*b*p*x^2+9*b*q^2*x-174*b*q*x^2+316*b*x^3+4*c^2*g*x-48*c^2*x^2+4*c*g^2*x+2*c* g*p*x+8*c*g*q*x-104*c*g*x^2-36*c*p*x^2-60*c*q*x^2+156*c*x^3+g^3*x+g^2*p*x+4*g^2 *q*x-40*g^2*x^2+2*g*p*q*x-40*g*p*x^2+3*g*q^2*x-64*g*q*x^2+128*g*x^3-6*p^2*x^2-\ 24*p*q*x^2+78*p*x^3-18*q^2*x^2+78*q*x^3-4*a^2*b-2*a^2*q+80*a^2*x-12*a*b^2-8*a*b *c-6*a*b*g-12*a*b*q+270*a*b*x-4*a*c*q+108*a*c*x-3*a*g*q+82*a*g*x+26*a*p*x-3*a*q ^2+103*a*q*x-532*a*x^2-8*b^3-12*b^2*c-8*b^2*g-12*b^2*q+198*b^2*x-4*b*c^2-6*b*c* g-12*b*c*q+190*b*c*x-2*b*g^2-8*b*g*q+141*b*g*x+42*b*p*x-6*b*q^2+135*b*q*x-624*b *x^2-2*c^2*q+28*c^2*x-3*c*g*q+56*c*g*x+12*c*p*x-3*c*q^2+48*c*q*x-294*c*x^2-g^2* q+21*g^2*x+13*g*p*x-2*g*q^2+47*g*q*x-236*g*x^2+12*p*q*x-114*p*x^2-q^3+18*q^2*x-\ 180*q*x^2+240*x^3-4*a^2-32*a*b-8*a*c-6*a*g-16*a*q+236*a*x-36*b^2-32*b*c-22*b*g-\ 36*b*q+360*b*x-4*c^2-6*c*g-16*c*q+158*c*x-2*g^2-11*g*q+122*g*x+36*p*x-9*q^2+126 *q*x-432*x^2-20*a-52*b-20*c-14*g-26*q+216*x-24)*dx+(q+4+p+g+2*c+2*b+2*a)*(4*a^3 *x^3+12*a^2*b*x^3+4*a^2*c*x^3+4*a^2*g*x^3+2*a^2*p*x^3+2*a^2*q*x^3+12*a*b^2*x^3+ 8*a*b*c*x^3+8*a*b*g*x^3+4*a*b*p*x^3+4*a*b*q*x^3+2*a*c*g*x^3+a*g^2*x^3+a*g*p*x^3 +a*g*q*x^3+4*b^3*x^3+4*b^2*c*x^3+4*b^2*g*x^3+2*b^2*p*x^3+2*b^2*q*x^3+2*b*c*g*x^ 3+b*g^2*x^3+b*g*p*x^3+b*g*q*x^3-8*a^3*x^2-28*a^2*b*x^2-8*a^2*c*x^2-8*a^2*g*x^2-\ 4*a^2*p*x^2-6*a^2*q*x^2+24*a^2*x^3-32*a*b^2*x^2-20*a*b*c*x^2-20*a*b*g*x^2-8*a*b *p*x^2-12*a*b*q*x^2+48*a*b*x^3-4*a*c*g*x^2+14*a*c*x^3-2*a*g^2*x^2-2*a*g*p*x^2-3 *a*g*q*x^2+16*a*g*x^3+7*a*p*x^3+7*a*q*x^3-12*b^3*x^2-12*b^2*c*x^2-12*b^2*g*x^2-\ 4*b^2*p*x^2-6*b^2*q*x^2+24*b^2*x^3-6*b*c*g*x^2+14*b*c*x^3-3*b*g^2*x^2-2*b*g*p*x ^2-3*b*g*q*x^2+16*b*g*x^3+7*b*p*x^3+7*b*q*x^3+4*c*g*x^3+2*g^2*x^3+2*g*p*x^3+2*g *q*x^3+4*a^3*x+20*a^2*b*x+4*a^2*c*x+4*a^2*g*x+2*a^2*p*x+6*a^2*q*x-52*a^2*x^2+28 *a*b^2*x+16*a*b*c*x+16*a*b*g*x+4*a*b*p*x+12*a*b*q*x-118*a*b*x^2+2*a*c*g*x-32*a* 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b*x^2+20*a*c*x^2+15*a*g*x^2+10*a*p*x^2+10*a*q*x^2+18*b^2*x^2+20*b*c*x^2+15*b*g* x^2+10*b*p*x^2+10*b*q*x^2+4*c^2*x^2+8*c*g*x^2+4*c*p*x^2+4*c*q*x^2+3*g^2*x^2+4*g *p*x^2+4*g*q*x^2+p^2*x^2+2*p*q*x^2+q^2*x^2-16*a^2*x-46*a*b*x-22*a*c*x-16*a*g*x-\ 6*a*p*x-18*a*q*x+135*a*x^2-30*b^2*x-32*b*c*x-23*b*g*x-9*b*p*x-21*b*q*x+135*b*x^ 2-6*c^2*x-11*c*g*x-3*c*p*x-9*c*q*x+74*c*x^2-4*g^2*x-3*g*p*x-8*g*q*x+57*g*x^2-3* p*q*x+37*p*x^2-3*q^2*x+37*q*x^2+2*a^2+12*a*b+4*a*c+3*a*g+6*a*q-116*a*x+12*b^2+ 12*b*c+8*b*g+12*b*q-168*b*x+2*c^2+3*c*g+6*c*q-84*c*x+g^2+4*g*q-61*g*x-18*p*x+3* q^2-66*q*x+252*x^2+19*a+42*b+19*c+13*g+21*q-216*x+36)*dx^2+x^2*(x-1)^3*(7*a*x+7 *b*x+4*c*x+3*g*x+2*p*x+2*q*x-3*a-6*b-3*c-2*g-3*q+28*x-12)*dx^3-26*b*p-20*c^2-6* c*p-7*g*p-14*a*p-4*q*p-24*a*b^3-16*b^3*c-12*b^3*g-4*b^3*q-6*b^2*g^2-b*g^3-136*a *b^2-6*a*g^2-96*b^2*c-72*b^2*g-48*b^2*q-21*b*g^2-4*c*g^2-4*b^3*p-8*a*c^2-18*b^2 *p-g^2*p-8*b^2*c^2-28*b*c^2+12*c^2*q-2*a^2*q^2+6*b^2*q^2-7*a*q^2+3*b*q^2+16*c*q ^2+2*g*q^2+3*p*q^2+g^2*q^2+2*a*q^3+5*b*q^3+4*c^3*q+8*c^2*q^2+5*c*q^3+2*g*q^3+p* q^3-1836*x^2*a-2136*x^2*b-984*x^2*c-798*x^2*g-600*x^2*q-1164*b^2*x^2-168*c^2*x^ 2+6*g^3*x-147*g^2*x^2-24*p^2*x^2-60*q^2*x^2+442*a^2*x+858*b^2*x+108*c^2*x+90*g^ 2*x+6*p^2*x-384*p*x^2+60*q^2*x+918*a*x+1308*b*x+558*c*x+444*g*x+150*p*x+420*q*x +4*g^3*x^3+8*a^4*x-192*a^3*x^2+502*a^2*x^3+24*b^4*x-276*b^3*x^2+502*b^2*x^3+80* c^2*x^3-9*g^3*x^2+72*g^2*x^3+20*p^2*x^3+20*q^2*x^3+96*a^3*x-884*a^2*x^2+240*b^3 *x-16*a^4*x^2+104*a^3*x^3-24*b^4*x^2+104*b^3*x^3-8*a^3*b-4*a^3*q-24*a^2*b^2-76* a^2*b-16*a^2*c-12*a^2*g-4*a^2*p-30*a^2*q-1440*x^2-4*c^2*g-4*g^2*q-8*a^3-8*b^4-\ 68*b^3-g^3+5*q^3+q^4+4*c^2*g*q+c*g^2*q+6*c*g*q^2+g*p*q^2+2*c^2*p*q+3*c*p*q^2-18 *a*c*q-10*b*c*p-11*b*g*p-3*b*p*q-2*c*g*p+4*c*p*q-g*p*q+4*a*c^2*q+4*b^2*c*q-4*b* c^2*g+12*b*c^2*q-16*b*c*q-2*c*g*q+2*a*b*q^2+6*a*c*q^2+a*g*q^2+16*b*c*q^2+5*b*g* q^2+3*b*p*q^2-4*a^2*g*q-32*a*b^2*c-24*a*b^2*g-16*a*b^2*q-6*a*b*g^2-a*g^2*q-16*b ^2*c*g-4*b^2*g*q-4*b*c*g^2-b*g^2*q-104*a*b*c-80*a*b*g-82*a*b*q-16*a*c*g-23*a*g* q-56*b*c*g-32*b*g*q-4*a^2*c*q-8*a*b*c^2-4*b^2*c*p-4*b^2*g*p-b*g^2*p-16*a^2*b*c-\ 12*a^2*b*g-4*a^2*b*p-16*a^2*b*q-2*a^2*p*q-8*a*b^2*p-22*a*b*p-4*a*c*p-4*a*g*p-7* a*p*q+c*g*p*q+4*b*c*g*q-4*a*b*c*q-a*g*p*q-2*b*c*g*p+4*b*c*p*q-4*a*b*c*p-4*a*b*g *p-4*a*b*p*q-16*a*b*c*g-10*a*b*g*q+1066*a*x^3+1066*b*x^3+520*c*x^3+428*g*x^3+ 260*p*x^3+260*q*x^3+720*x-12*p-120*a-88*c-68*g-80*q-232*b+x^3*(x-1)^4*dx^4+32*a ^3*b*x^3+16*a^3*c*x^3+12*a^3*g*x^3+8*a^3*p*x^3+8*a^3*q*x^3+48*a^2*b^2*x^3+8*a^2 *c^2*x^3+6*a^2*g^2*x^3+2*a^2*p^2*x^3+2*a^2*q^2*x^3+32*a*b^3*x^3+840*x^3: Pcp:=x^2*(x-1)^2*dx^4+x*(x-1)*(5*a*x+5*b*x+2*c*x+2*g*x+2*p*x+2*q*x-a-4*b-c- g-2*q+16*x-8)*dx^3+(8*a^2*x^2+16*a*b*x^2+4*a*c*x^2+6*a*g*x^2+6*a*p*x^2+6*a*q*x^ 2+8*b^2*x^2+4*b*c*x^2+6*b*g*x^2+6*b*p*x^2+6*b*q*x^2-2*c^2*x^2+c*g*x^2+g^2*x^2+2 *g*p*x^2+2*g*q*x^2+p^2*x^2+2*p*q*x^2+q^2*x^2-4*a^2*x-16*a*b*x-2*a*c*x-4*a*g*x-2 *a*p*x-7*a*q*x+47*a*x^2-12*b^2*x-6*b*c*x-8*b*g*x-5*b*p*x-10*b*q*x+47*b*x^2+2*c^ 2*x-c*g*x+c*p*x-c*q*x+12*c*x^2-g^2*x-g*p*x-3*g*q*x+18*g*x^2-2*p*q*x+17*p*x^2-2* q^2*x+17*q*x^2+2*a*b+a*q-36*a*x+4*b^2+2*b*c+2*b*g+4*b*q-58*b*x+c*q-12*c*x+g*q-\ 18*g*x-10*p*x+q^2-24*q*x+68*x^2+3*a+14*b+3*c+3*g+7*q-68*x+12)*dx^2+(2*a+2*b+2*c +p+q+g+5)*(2*a^2*x+4*a*b*x-2*a*c*x+a*g*x+a*p*x+a*q*x+2*b^2*x-2*b*c*x+b*g*x+b*p* x+b*q*x-2*c*p*x-2*c*q*x-2*a*b-a*q+12*a*x-2*b^2+2*b*c-b*g-b*q+12*b*x+2*c*q-4*c*x +4*g*x+2*p*x+2*q*x-4*a-8*b+2*c-2*g-2*q+16*x-8)*dx+(2*c^2+c*g+a+b+2*c+g+2)*(2*a+ 2*b+2*c+p+q+g+4)*(2*a+2*b+2*c+p+q+g+5): Qcp:=x^2*(x-1)^2*dx^4+x*(x-1)*(5*a*x+5*b*x+2*c*x+2*g*x+2*p*x+2*q*x-a-4*b-c- g-2*q+18*x-9)*dx^3+(8*a^2*x^2+16*a*b*x^2+4*a*c*x^2+6*a*g*x^2+6*a*p*x^2+6*a*q*x^ 2+8*b^2*x^2+4*b*c*x^2+6*b*g*x^2+6*b*p*x^2+6*b*q*x^2-2*c^2*x^2+c*g*x^2+g^2*x^2+2 *g*p*x^2+2*g*q*x^2+p^2*x^2+2*p*q*x^2+q^2*x^2-4*a^2*x-16*a*b*x-2*a*c*x-4*a*g*x-2 *a*p*x-7*a*q*x+50*a*x^2-12*b^2*x-6*b*c*x-8*b*g*x-5*b*p*x-10*b*q*x+50*b*x^2+2*c^ 2*x-c*g*x+c*p*x-c*q*x+6*c*x^2-g^2*x-g*p*x-3*g*q*x+18*g*x^2-2*p*q*x+17*p*x^2-2*q ^2*x+17*q*x^2+2*a*b+a*q-37*a*x+4*b^2+2*b*c+2*b*g+4*b*q-63*b*x+c*q-6*c*x+g*q-18* g*x-9*p*x+q^2-25*q*x+74*x^2+3*a+16*b+3*c+3*g+8*q-74*x+15)*dx^2+(2*a+2*b+2*c+p+q +g+7)*(2*a^2*x+4*a*b*x-2*a*c*x+a*g*x+a*p*x+a*q*x+2*b^2*x-2*b*c*x+b*g*x+b*p*x+b* q*x-2*c*p*x-2*c*q*x-2*a*b-a*q+8*a*x-2*b^2+2*b*c-b*g-b*q+8*b*x+2*c*q-8*c*x+2*g*x -3*a-5*b+4*c-g+4*x-2)*dx+(c+1)*(2*c+g+2)*(2*a+2*b+2*c+p+q+g+6)*(2*a+2*b+2*c+p+q +g+7): Pgp:= x^2*(x-1)^2*(3*g+6+2*a+2*b+2*c)*dx^4+2*x*(x-1)*(6*a^2*x+12*a*b*x+10*a* c*x+12*a*g*x+2*a*p*x+2*a*q*x+6*b^2*x+10*b*c*x+12*b*g*x+2*b*p*x+2*b*q*x+4*c^2*x+ 8*c*g*x+2*c*p*x+2*c*q*x+4*g^2*x+3*g*p*x+3*g*q*x-2*a^2-6*a*b-4*a*c-4*a*g-2*a*q+ 37*a*x-4*b^2-6*b*c-8*b*g-2*b*q+37*b*x-2*c^2-4*c*g-2*c*q+30*c*x-2*g^2-3*g*q+36*g *x+6*p*x+6*q*x-15*a-22*b-15*c-18*g-6*q+56*x-28)*dx^3+(24*a^3*x^2+72*a^2*b*x^2+ 56*a^2*c*x^2+60*a^2*g*x^2+16*a^2*p*x^2+16*a^2*q*x^2+72*a*b^2*x^2+112*a*b*c*x^2+ 120*a*b*g*x^2+32*a*b*p*x^2+32*a*b*q*x^2+40*a*c^2*x^2+76*a*c*g*x^2+24*a*c*p*x^2+ 24*a*c*q*x^2+36*a*g^2*x^2+32*a*g*p*x^2+32*a*g*q*x^2+2*a*p^2*x^2+4*a*p*q*x^2+2*a *q^2*x^2+24*b^3*x^2+56*b^2*c*x^2+60*b^2*g*x^2+16*b^2*p*x^2+16*b^2*q*x^2+40*b*c^ 2*x^2+76*b*c*g*x^2+24*b*c*p*x^2+24*b*c*q*x^2+36*b*g^2*x^2+32*b*g*p*x^2+32*b*g*q *x^2+2*b*p^2*x^2+4*b*p*q*x^2+2*b*q^2*x^2+8*c^3*x^2+20*c^2*g*x^2+8*c^2*p*x^2+8*c ^2*q*x^2+20*c*g^2*x^2+16*c*g*p*x^2+16*c*g*q*x^2+2*c*p^2*x^2+4*c*p*q*x^2+2*c*q^2 *x^2+6*g^3*x^2+10*g^2*p*x^2+10*g^2*q*x^2+3*g*p^2*x^2+6*g*p*q*x^2+3*g*q^2*x^2-16 *a^3*x-64*a^2*b*x-40*a^2*c*x-40*a^2*g*x-8*a^2*p*x-20*a^2*q*x+216*a^2*x^2-80*a*b ^2*x-112*a*b*c*x-120*a*b*g*x-20*a*b*p*x-44*a*b*q*x+432*a*b*x^2-32*a*c^2*x-60*a* c*g*x-12*a*c*p*x-32*a*c*q*x+320*a*c*x^2-28*a*g^2*x-16*a*g*p*x-40*a*g*q*x+342*a* g*x^2-4*a*p*q*x+94*a*p*x^2-4*a*q^2*x+94*a*q*x^2-32*b^3*x-72*b^2*c*x-80*b^2*g*x-\ 12*b^2*p*x-24*b^2*q*x+216*b^2*x^2-48*b*c^2*x-92*b*c*g*x-16*b*c*p*x-36*b*c*q*x+ 320*b*c*x^2-44*b*g^2*x-24*b*g*p*x-48*b*g*q*x+342*b*g*x^2-4*b*p*q*x+94*b*p*x^2-4 *b*q^2*x+94*b*q*x^2-8*c^3*x-20*c^2*g*x-4*c^2*p*x-12*c^2*q*x+108*c^2*x^2-20*c*g^ 2*x-8*c*g*p*x-24*c*g*q*x+210*c*g*x^2-4*c*p*q*x+66*c*p*x^2-4*c*q^2*x+66*c*q*x^2-\ 6*g^3*x-6*g^2*p*x-14*g^2*q*x+102*g^2*x^2-6*g*p*q*x+87*g*p*x^2-6*g*q^2*x+87*g*q* x^2+6*p^2*x^2+12*p*q*x^2+6*q^2*x^2+8*a^2*b+4*a^2*q-168*a^2*x+16*a*b^2+16*a*b*c+ 16*a*b*g+12*a*b*q-432*a*b*x+8*a*c*q-276*a*c*x+8*a*g*q-288*a*g*x-52*a*p*x+2*a*q^ 2-122*a*q*x+630*a*x^2+8*b^3+16*b^2*c+20*b^2*g+8*b^2*q-264*b^2*x+8*b*c^2+16*b*c* g+12*b*c*q-364*b*c*x+8*b*g^2+16*b*g*q-396*b*g*x-66*b*p*x+2*b*q^2-136*b*q*x+630* b*x^2+4*c^2*q-108*c^2*x+8*c*g*q-210*c*g*x-38*c*p*x+2*c*q^2-94*c*q*x+448*c*x^2+4 *g^2*q-102*g^2*x-54*g*p*x+3*g*q^2-120*g*q*x+480*g*x^2-12*p*q*x+134*p*x^2-12*q^2 *x+134*q*x^2+12*a^2+68*a*b+24*a*c+24*a*g+28*a*q-560*a*x+60*b^2+68*b*c+78*b*g+42 *b*q-700*b*x+12*c^2+24*c*g+28*c*q-448*c*x+12*g^2+33*g*q-480*g*x-84*p*x+6*q^2-\ 184*q*x+600*x^2+66*a+136*b+66*c+72*g+50*q-600*x+96)*dx^2+2*(2*a+2*b+2*c+p+q+g+5 )*(4*a^3*x+12*a^2*b*x+8*a^2*c*x+10*a^2*g*x+2*a^2*p*x+2*a^2*q*x+12*a*b^2*x+16*a* b*c*x+20*a*b*g*x+4*a*b*p*x+4*a*b*q*x+4*a*c^2*x+6*a*c*g*x+2*a*c*p*x+2*a*c*q*x+4* a*g^2*x+4*a*g*p*x+4*a*g*q*x+4*b^3*x+8*b^2*c*x+10*b^2*g*x+2*b^2*p*x+2*b^2*q*x+4* b*c^2*x+6*b*c*g*x+2*b*c*p*x+2*b*c*q*x+4*b*g^2*x+4*b*g*p*x+4*b*g*q*x+g^2*p*x+g^2 *q*x-4*a^2*b-2*a^2*q+38*a^2*x-8*a*b^2-8*a*b*c-10*a*b*g-4*a*b*q+76*a*b*x-2*a*c*q +42*a*c*x-4*a*g*q+55*a*g*x+11*a*p*x+11*a*q*x-4*b^3-8*b^2*c-10*b^2*g-2*b^2*q+38* b^2*x-4*b*c^2-6*b*c*g-2*b*c*q+42*b*c*x-4*b*g^2-4*b*g*q+55*b*g*x+11*b*p*x+11*b*q *x+8*c^2*x+16*c*g*x+4*c*p*x+4*c*q*x-g^2*q+12*g^2*x+9*g*p*x+9*g*q*x-8*a^2-38*a*b -12*a*c-16*a*g-11*a*q+108*a*x-30*b^2-30*b*c-39*b*g-11*b*q+108*b*x-4*c^2-8*c*g-4 *c*q+52*c*x-6*g^2-9*g*q+72*g*x+14*p*x+14*q*x-40*a-68*b-26*c-36*g-14*q+96*x-48)* dx+(-2*c*g-g^2+2*a+2*b+4)*(2*a+2*b+2*c+p+q+g+4)*(2*a+2*b+2*c+p+q+g+5)*(2*a+2*b+ g+3): Qgp:= x^2*(x-1)^2*(3*g+6+2*a+2*b+2*c)*dx^4+2*x*(x-1)*(6*a^2*x+12*a*b*x+10*a* c*x+12*a*g*x+2*a*p*x+2*a*q*x+6*b^2*x+10*b*c*x+12*b*g*x+2*b*p*x+2*b*q*x+4*c^2*x+ 8*c*g*x+2*c*p*x+2*c*q*x+4*g^2*x+3*g*p*x+3*g*q*x-2*a^2-6*a*b-4*a*c-4*a*g-2*a*q+ 41*a*x-4*b^2-6*b*c-8*b*g-2*b*q+41*b*x-2*c^2-4*c*g-2*c*q+34*c*x-2*g^2-3*g*q+42*g *x+6*p*x+6*q*x-17*a-24*b-17*c-21*g-6*q+68*x-34)*dx^3+(24*a^3*x^2+72*a^2*b*x^2+ 56*a^2*c*x^2+60*a^2*g*x^2+16*a^2*p*x^2+16*a^2*q*x^2+72*a*b^2*x^2+112*a*b*c*x^2+ 120*a*b*g*x^2+32*a*b*p*x^2+32*a*b*q*x^2+40*a*c^2*x^2+76*a*c*g*x^2+24*a*c*p*x^2+ 24*a*c*q*x^2+36*a*g^2*x^2+32*a*g*p*x^2+32*a*g*q*x^2+2*a*p^2*x^2+4*a*p*q*x^2+2*a *q^2*x^2+24*b^3*x^2+56*b^2*c*x^2+60*b^2*g*x^2+16*b^2*p*x^2+16*b^2*q*x^2+40*b*c^ 2*x^2+76*b*c*g*x^2+24*b*c*p*x^2+24*b*c*q*x^2+36*b*g^2*x^2+32*b*g*p*x^2+32*b*g*q *x^2+2*b*p^2*x^2+4*b*p*q*x^2+2*b*q^2*x^2+8*c^3*x^2+20*c^2*g*x^2+8*c^2*p*x^2+8*c ^2*q*x^2+20*c*g^2*x^2+16*c*g*p*x^2+16*c*g*q*x^2+2*c*p^2*x^2+4*c*p*q*x^2+2*c*q^2 *x^2+6*g^3*x^2+10*g^2*p*x^2+10*g^2*q*x^2+3*g*p^2*x^2+6*g*p*q*x^2+3*g*q^2*x^2-16 *a^3*x-64*a^2*b*x-40*a^2*c*x-40*a^2*g*x-8*a^2*p*x-20*a^2*q*x+244*a^2*x^2-80*a*b ^2*x-112*a*b*c*x-120*a*b*g*x-20*a*b*p*x-44*a*b*q*x+488*a*b*x^2-32*a*c^2*x-60*a* c*g*x-12*a*c*p*x-32*a*c*q*x+364*a*c*x^2-28*a*g^2*x-16*a*g*p*x-40*a*g*q*x+398*a* g*x^2-4*a*p*q*x+102*a*p*x^2-4*a*q^2*x+102*a*q*x^2-32*b^3*x-72*b^2*c*x-80*b^2*g* x-12*b^2*p*x-24*b^2*q*x+244*b^2*x^2-48*b*c^2*x-92*b*c*g*x-16*b*c*p*x-36*b*c*q*x +364*b*c*x^2-44*b*g^2*x-24*b*g*p*x-48*b*g*q*x+398*b*g*x^2-4*b*p*q*x+102*b*p*x^2 -4*b*q^2*x+102*b*q*x^2-8*c^3*x-20*c^2*g*x-4*c^2*p*x-12*c^2*q*x+124*c^2*x^2-20*c *g^2*x-8*c*g*p*x-24*c*g*q*x+238*c*g*x^2-4*c*p*q*x+74*c*p*x^2-4*c*q^2*x+74*c*q*x ^2-6*g^3*x-6*g^2*p*x-14*g^2*q*x+118*g^2*x^2-6*g*p*q*x+99*g*p*x^2-6*g*q^2*x+99*g *q*x^2+6*p^2*x^2+12*p*q*x^2+6*q^2*x^2+8*a^2*b+4*a^2*q-188*a^2*x+16*a*b^2+16*a*b *c+16*a*b*g+12*a*b*q-488*a*b*x+8*a*c*q-312*a*c*x+8*a*g*q-332*a*g*x-56*a*p*x+2*a *q^2-134*a*q*x+808*a*x^2+8*b^3+16*b^2*c+20*b^2*g+8*b^2*q-300*b^2*x+8*b*c^2+16*b *c*g+12*b*c*q-416*b*c*x+8*b*g^2+16*b*g*q-464*b*g*x-70*b*p*x+2*b*q^2-148*b*q*x+ 808*b*x^2+4*c^2*q-124*c^2*x+8*c*g*q-238*c*g*x-42*c*p*x+2*c*q^2-106*c*q*x+580*c* x^2+4*g^2*q-118*g^2*x-60*g*p*x+3*g*q^2-138*g*q*x+648*g*x^2-12*p*q*x+158*p*x^2-\ 12*q^2*x+158*q*x^2+12*a^2+76*a*b+24*a*c+24*a*g+32*a*q-714*a*x+68*b^2+76*b*c+90* b*g+46*b*q-902*b*x+12*c^2+24*c*g+32*c*q-580*c*x+12*g^2+39*g*q-648*g*x-96*p*x+6* q^2-220*q*x+872*x^2+78*a+172*b+78*c+90*g+62*q-872*x+132)*dx^2+2*(2*a+2*b+2*c+p+ q+g+7)*(4*a^3*x+12*a^2*b*x+8*a^2*c*x+10*a^2*g*x+2*a^2*p*x+2*a^2*q*x+12*a*b^2*x+ 16*a*b*c*x+20*a*b*g*x+4*a*b*p*x+4*a*b*q*x+4*a*c^2*x+6*a*c*g*x+2*a*c*p*x+2*a*c*q *x+4*a*g^2*x+4*a*g*p*x+4*a*g*q*x+4*b^3*x+8*b^2*c*x+10*b^2*g*x+2*b^2*p*x+2*b^2*q *x+4*b*c^2*x+6*b*c*g*x+2*b*c*p*x+2*b*c*q*x+4*b*g^2*x+4*b*g*p*x+4*b*g*q*x+g^2*p* x+g^2*q*x-4*a^2*b-2*a^2*q+38*a^2*x-8*a*b^2-8*a*b*c-10*a*b*g-4*a*b*q+76*a*b*x-2* a*c*q+42*a*c*x-4*a*g*q+55*a*g*x+11*a*p*x+11*a*q*x-4*b^3-8*b^2*c-10*b^2*g-2*b^2* q+38*b^2*x-4*b*c^2-6*b*c*g-2*b*c*q+42*b*c*x-4*b*g^2-4*b*g*q+55*b*g*x+11*b*p*x+ 11*b*q*x+8*c^2*x+12*c*g*x+4*c*p*x+4*c*q*x-g^2*q+10*g^2*x+9*g*p*x+9*g*q*x-6*a^2-\ 38*a*b-10*a*c-14*a*g-11*a*q+112*a*x-32*b^2-32*b*c-41*b*g-11*b*q+112*b*x-4*c^2-6 *c*g-4*c*q+52*c*x-5*g^2-9*g*q+72*g*x+14*p*x+14*q*x-37*a-75*b-26*c-36*g-14*q+104 *x-52)*dx-(g+1)*(g+2*c+2)*(2*a+2*b+2*c+p+q+g+6)*(2*a+2*b+2*c+p+q+g+7)*(2*a+2*b+ g+4): Pagt:= x^3*(x-1)^2*(2*a*b*x+a*g*x+2*b^2*x+4*b*c*x+3*b*g*x+b*p*x+b*q*x+2*c^2 *x+3*c*g*x+c*p*x+c*q*x+g^2*x+g*p*x+g*q*x+2*a*c+a*g+4*b*x+2*c*x+3*g*x+2*c+g)/(a+ 1)/(2*c+g)*dx^4+x^2*(x-1)*(14*a^2*b*x^2+7*a^2*g*x^2+28*a*b^2*x^2+36*a*b*c*x^2 +34*a*b*g*x^2+11*a*b*p*x^2+11*a*b*q*x^2+14*a*c^2*x^2+25*a*c*g*x^2+7*a*c*p*x^2+7 *a*c*q*x^2+10*a*g^2*x^2+9*a*g*p*x^2+9*a*g*q*x^2+14*b^3*x^2+36*b^2*c*x^2+27*b^2* g*x^2+11*b^2*p*x^2+11*b^2*q*x^2+30*b*c^2*x^2+45*b*c*g*x^2+19*b*c*p*x^2+19*b*c*q 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2*g-32*b*c^2-30*b*c*g-30*b*c*q+170*b*c*x-7*b*g^2-15*b*g*q+85*b*g*x+120*b*x^2-4* c^3-10*c^2*q+60*c^2*x+5*c*g^2-11*c*g*q+100*c*g*x+12*c*p*x-4*c*q^2+24*c*q*x+60*c *x^2+2*g^3-3*g^2*q+35*g^2*x+6*g*p*x-2*g*q^2+12*g*q*x+90*g*x^2-64*a*c-32*a*g-68* b*c-34*b*g-24*c^2-26*c*g-24*c*q+84*c*x-7*g^2-12*g*q+42*g*x-32*c-16*g)/(a+1)/(2* c+g): Pag:=normal((a+1)*(2*c+g)*Pagt): Qagt:= x^3*(x-1)^2*(2*a*b*x+a*g*x+2*b^2*x+4*b*c*x+3*b*g*x+b*p*x+b*q*x+2*c^2 *x+3*c*g*x+c*p*x+c*q*x+g^2*x+g*p*x+g*q*x+2*a*c+a*g+4*b*x+2*c*x+3*g*x+2*c+g)/(a+ 1)/(2*c+g)*dx^4+x^2*(x-1)*(14*a^2*b*x^2+7*a^2*g*x^2+28*a*b^2*x^2+36*a*b*c*x^2 +34*a*b*g*x^2+11*a*b*p*x^2+11*a*b*q*x^2+14*a*c^2*x^2+25*a*c*g*x^2+7*a*c*p*x^2+7 *a*c*q*x^2+10*a*g^2*x^2+9*a*g*p*x^2+9*a*g*q*x^2+14*b^3*x^2+36*b^2*c*x^2+27*b^2* g*x^2+11*b^2*p*x^2+11*b^2*q*x^2+30*b*c^2*x^2+45*b*c*g*x^2+19*b*c*p*x^2+19*b*c*q *x^2+16*b*g^2*x^2+16*b*g*p*x^2+16*b*g*q*x^2+2*b*p^2*x^2+4*b*p*q*x^2+2*b*q^2*x^2 +8*c^3*x^2+18*c^2*g*x^2+8*c^2*p*x^2+8*c^2*q*x^2+13*c*g^2*x^2+13*c*g*p*x^2+13*c* 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*c^3*x^2+18*c^2*g^3+8*c^2*g^2*p+16*c^2*g^2*q+36*c^2*g^2*x+2*c^2*g*p*q+2*c^2*g*q ^2-132*c^2*g*q*x+2528*c^2*g*x^2-56*c^2*p*q*x+960*c^2*p*x^2-56*c^2*q^2*x+960*c^2 *q*x^2+7*c*g^4+5*c*g^3*p+10*c*g^3*q+15*c*g^3*x+3*c*g^2*p*q-16*c*g^2*p*x+3*c*g^2 *q^2-126*c*g^2*q*x+2184*c*g^2*x^2-7*c*g*p^2*x-108*c*g*p*q*x+1776*c*g*p*x^2-101* c*g*q^2*x+1776*c*g*q*x^2-14*c*p^2*q*x+240*c*p^2*x^2-28*c*p*q^2*x+480*c*p*q*x^2-\ 14*c*q^3*x+240*c*q^2*x^2+g^5+g^4*p+2*g^4*q+2*g^4*x+g^3*p*q-8*g^3*p*x+g^3*q^2-37 *g^3*q*x+580*g^3*x^2-10*g^2*p^2*x-63*g^2*p*q*x+836*g^2*p*x^2-53*g^2*q^2*x+836*g ^2*q*x^2-14*g*p^2*q*x+256*g*p^2*x^2-28*g*p*q^2*x+512*g*p*q*x^2-14*g*q^3*x+256*g *q^2*x^2+8*a^3*b-188*a^3*c-90*a^3*g+32*a^2*b^2-848*a^2*b*c-404*a^2*b*g+4*a^2*b* p+16*a^2*b*q-1360*a^2*b*x-344*a^2*c^2-414*a^2*c*g-58*a^2*c*p-332*a^2*c*q+1448*a ^2*c*x-119*a^2*g^2-27*a^2*g*p-158*a^2*g*q+44*a^2*g*x+40*a*b^3-844*a*b^2*c-394*a *b^2*g+12*a*b^2*p+40*a*b^2*q-3016*a*b^2*x-848*a*b*c^2-962*a*b*c*g-152*a*b*c*p-\ 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1504*b*q*x^2-16*c^4-16*c^3*g-8*c^3*p-32*c^3*q-104*c^3*x+8*c^2*g^2-12*c^2*g*p-50 *c^2*g*q-248*c^2*g*x-12*c^2*p*q-140*c^2*p*x-16*c^2*q^2-328*c^2*q*x+2176*c^2*x^2 +12*c*g^3-6*c*g^2*p-21*c*g^2*q-276*c*g^2*x-15*c*g*p*q-296*c*g*p*x-19*c*g*q^2-\ 612*c*g*q*x+4016*c*g*x^2-44*c*p^2*x-2*c*p*q^2-182*c*p*q*x+1088*c*p*x^2-2*c*q^3-\ 138*c*q^2*x+1088*c*q*x^2+3*g^4-g^3*p-2*g^3*q-89*g^3*x-4*g^2*p*q-178*g^2*p*x-5*g ^2*q^2-313*g^2*q*x+1800*g^2*x^2-53*g*p^2*x-223*g*p*q*x+1296*g*p*x^2-170*g*q^2*x +1296*g*q*x^2+60*a^2*b-524*a^2*c-232*a^2*g+156*a*b^2-1192*a*b*c-500*a*b*g+22*a* b*p+78*a*b*q-2344*a*b*x-552*a*c^2-662*a*c*g-78*a*c*p-442*a*c*q+928*a*c*x-184*a* g^2-28*a*g*p-182*a*g*q-708*a*g*x+96*b^3-376*b^2*c-122*b^2*g+32*b^2*p+96*b^2*q-\ 2584*b^2*x-456*b*c^2-484*b*c*g-62*b*c*p-260*b*c*q-1608*b*c*x-119*b*g^2-10*b*g*p -73*b*g*q-2408*b*g*x+16*b*p*q-620*b*p*x+24*b*q^2-956*b*q*x+2688*b*x^2-104*c^3-\ 182*c^2*g-32*c^2*p-132*c^2*q-344*c^2*x-99*c*g^2-39*c*g*p-151*c*g*q-904*c*g*x-14 *c*p*q-280*c*p*x-36*c*q^2-340*c*q*x+1344*c*x^2-17*g^3-9*g^2*p-38*g^2*q-522*g^2* x+g*p*q-450*g*p*x-6*g*q^2-648*g*q*x+2016*g*x^2+148*a*b-592*a*c-222*a*g+188*b^2-\ 444*b*c-108*b*g+30*b*p+94*b*q-1488*b*x-236*c^2-264*c*g-20*c*p-162*c*q-96*c*x-63 *g^2+5*g*p-34*g*q-792*g*x+120*b-208*c-44*g)/(a+1)/(2*c+g): Qag:=normal((a+1)*(2*c+g)*Qagt): Prag:= x^3*(x-1)^3*dx^4+x^2*(x-1)^2*(7*a*x+7*b*x+4*c*x+3*g*x+2*p*x+2* q*x-a-4*b-c-g+p-2*q+20*x-8)*dx^3+x*(x-1)*(18*a^2*x^2+36*a*b*x^2+20*a*c*x^2+ 15*a*g*x^2+10*a*p*x^2+10*a*q*x^2+18*b^2*x^2+20*b*c*x^2+15*b*g*x^2+10*b*p*x^2+10 *b*q*x^2+4*c^2*x^2+8*c*g*x^2+4*c*p*x^2+4*c*q*x^2+3*g^2*x^2+4*g*p*x^2+4*g*q*x^2+ p^2*x^2+2*p*q*x^2+q^2*x^2-4*a^2*x-24*a*b*x-4*a*c*x-6*a*g*x+4*a*p*x-10*a*q*x+93* a*x^2-20*b^2*x-16*b*c*x-14*b*g*x-14*b*q*x+93*b*x^2-4*c*g*x+4*c*p*x-4*c*q*x+50*c *x^2-2*g^2*x+g*p*x-5*g*q*x+39*g*x^2+2*p^2*x+25*p*x^2-2*q^2*x+25*q*x^2-2*a^2-4*a *c-a*g-2*a*p-48*a*x+4*b^2+2*b*g-4*b*p+4*b*q-86*b*x-2*c^2-c*g-2*c*p-28*c*x-g*p+g *q-28*g*x-2*p*q+3*p*x+q^2-31*q*x+120*x^2-3*a+12*b-3*c+2*g-7*p+6*q-92*x+8)*dx^2+ (20*a^3*x^3+60*a^2*b*x^3+32*a^2*c*x^3+24*a^2*g*x^3+16*a^2*p*x^3+16*a^2*q*x^3 +60*a*b^2*x^3+64*a*b*c*x^3+48*a*b*g*x^3+32*a*b*p*x^3+32*a*b*q*x^3+12*a*c^2*x^3+ 24*a*c*g*x^3+12*a*c*p*x^3+12*a*c*q*x^3+9*a*g^2*x^3+12*a*g*p*x^3+12*a*g*q*x^3+3* a*p^2*x^3+6*a*p*q*x^3+3*a*q^2*x^3+20*b^3*x^3+32*b^2*c*x^3+24*b^2*g*x^3+16*b^2*p *x^3+16*b^2*q*x^3+12*b*c^2*x^3+24*b*c*g*x^3+12*b*c*p*x^3+12*b*c*q*x^3+9*b*g^2*x ^3+12*b*g*p*x^3+12*b*g*q*x^3+3*b*p^2*x^3+6*b*p*q*x^3+3*b*q^2*x^3+4*c^2*g*x^3+4* c*g^2*x^3+4*c*g*p*x^3+4*c*g*q*x^3+g^3*x^3+2*g^2*p*x^3+2*g^2*q*x^3+g*p^2*x^3+2*g *p*q*x^3+g*q^2*x^3-4*a^3*x^2-40*a^2*b*x^2-8*a^2*g*x^2+8*a^2*p*x^2-14*a^2*q*x^2+ 138*a^2*x^3-68*a*b^2*x^2-40*a*b*c*x^2-44*a*b*g*x^2+2*a*b*p*x^2-42*a*b*q*x^2+276 *a*b*x^3+8*a*c^2*x^2-4*a*c*g*x^2+18*a*c*p*x^2-6*a*c*q*x^2+142*a*c*x^3-5*a*g^2*x ^2+6*a*g*p*x^2-13*a*g*q*x^2+111*a*g*x^3+7*a*p^2*x^2+2*a*p*q*x^2+71*a*p*x^3-5*a* 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*a^2*x-4*a*b^2-8*a*b*c-4*a*b*g-4*a*b*p-2*a*b*q-4*a*b*x-2*a*c*g-2*a*c*q+20*a*c*x -a*g^2-a*g*q+6*a*g*x-2*a*p*q+19*a*p*x-2*a*q*x+47*a*x^2-4*b^2*c-4*b^2*p-16*b^2*x -4*b*c^2-4*b*c*g-4*b*c*p-2*b*c*q+8*b*c*x-4*b*g*p-8*b*g*x-2*b*p*q+16*b*p*x-5*b*q *x+47*b*x^2-2*c^2*g+6*c^2*x-c*g^2-2*c*g*p-c*g*q+7*c*g*x+9*c*p*x+3*c*q*x+12*c*x^ 2-g^2*p-g*p*q+8*g*p*x-g*q*x+16*g*x^2+3*p^2*x+3*p*q*x+6*p*x^2+6*q*x^2-4*a^2-16*a *b-8*a*c-5*a*g-4*a*p-5*a*q+5*a*x-4*b^2-16*b*c-4*b*g-12*b*p-2*b*q-19*b*x-4*c^2-7 *c*g-4*c*p-3*c*q+12*c*x-g^2-5*g*p-g*q-2*g*x-3*p*q+15*p*x-3*q*x+30*x^2-12*a-12*b -12*c-5*g-8*p-3*q-6*x-8): Qrag:= x^3*(x-1)^3*dx^4+x^2*(x-1)^2*(7*a*x+7*b*x+4*c*x+3*g*x+2*p*x+2* q*x-a-4*b-c-g+p-2*q+25*x-12)*dx^3+x*(x-1)*(18*a^2*x^2+36*a*b*x^2+20*a*c*x^2+ 15*a*g*x^2+10*a*p*x^2+10*a*q*x^2+18*b^2*x^2+20*b*c*x^2+15*b*g*x^2+10*b*p*x^2+10 *b*q*x^2+4*c^2*x^2+8*c*g*x^2+4*c*p*x^2+4*c*q*x^2+3*g^2*x^2+4*g*p*x^2+4*g*q*x^2+ p^2*x^2+2*p*q*x^2+q^2*x^2-4*a^2*x-24*a*b*x-4*a*c*x-6*a*g*x+4*a*p*x-10*a*q*x+118 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*g^2*q*x^2+a*g*p^2*x^2+2*a*g*p*q*x^2+a*g*q^2*x^2+8*b^4*x^2+16*b^3*c*x^2+12*b^3* g*x^2+8*b^3*p*x^2+8*b^3*q*x^2+8*b^2*c^2*x^2+16*b^2*c*g*x^2+8*b^2*c*p*x^2+8*b^2* c*q*x^2+6*b^2*g^2*x^2+8*b^2*g*p*x^2+8*b^2*g*q*x^2+2*b^2*p^2*x^2+4*b^2*p*q*x^2+2 *b^2*q^2*x^2+4*b*c^2*g*x^2+4*b*c*g^2*x^2+4*b*c*g*p*x^2+4*b*c*g*q*x^2+b*g^3*x^2+ 2*b*g^2*p*x^2+2*b*g^2*q*x^2+b*g*p^2*x^2+2*b*g*p*q*x^2+b*g*q^2*x^2+8*a^4*x+16*a^ 3*b*x+24*a^3*c*x+12*a^3*g*x+16*a^3*p*x+4*a^3*q*x+84*a^3*x^2+40*a^2*b*c*x+12*a^2 *b*g*x+36*a^2*b*p*x+252*a^2*b*x^2+24*a^2*c^2*x+28*a^2*c*g*x+32*a^2*c*p*x+12*a^2 *c*q*x+116*a^2*c*x^2+6*a^2*g^2*x+20*a^2*g*p*x+4*a^2*g*q*x+92*a^2*g*x^2+10*a^2*p ^2*x+10*a^2*p*q*x+58*a^2*p*x^2+58*a^2*q*x^2-16*a*b^3*x+8*a*b^2*c*x-12*a*b^2*g*x +24*a*b^2*p*x-12*a*b^2*q*x+252*a*b^2*x^2+32*a*b*c^2*x+24*a*b*c*g*x+52*a*b*c*p*x +12*a*b*c*q*x+232*a*b*c*x^2+28*a*b*g*p*x-4*a*b*g*q*x+184*a*b*g*x^2+18*a*b*p^2*x +16*a*b*p*q*x+116*a*b*p*x^2-2*a*b*q^2*x+116*a*b*q*x^2+8*a*c^3*x+20*a*c^2*g*x+16 *a*c^2*p*x+8*a*c^2*q*x+32*a*c^2*x^2+10*a*c*g^2*x+28*a*c*g*p*x+10*a*c*g*q*x+74*a *c*g*x^2+10*a*c*p^2*x+12*a*c*p*q*x+32*a*c*p*x^2+2*a*c*q^2*x+32*a*c*q*x^2+a*g^3* x+8*a*g^2*p*x+a*g^2*q*x+29*a*g^2*x^2+9*a*g*p^2*x+9*a*g*p*q*x+37*a*g*p*x^2+37*a* g*q*x^2+2*a*p^3*x+4*a*p^2*q*x+8*a*p^2*x^2+2*a*p*q^2*x+16*a*p*q*x^2+8*a*q^2*x^2-\ 8*b^4*x-8*b^3*c*x-12*b^3*g*x+4*b^3*p*x-8*b^3*q*x+84*b^3*x^2+8*b^2*c^2*x-4*b^2*c *g*x+20*b^2*c*p*x+116*b^2*c*x^2-6*b^2*g^2*x+8*b^2*g*p*x-8*b^2*g*q*x+92*b^2*g*x^ 2+8*b^2*p^2*x+6*b^2*p*q*x+58*b^2*p*x^2-2*b^2*q^2*x+58*b^2*q*x^2+8*b*c^3*x+12*b* c^2*g*x+16*b*c^2*p*x+8*b*c^2*q*x+32*b*c^2*x^2+2*b*c*g^2*x+22*b*c*g*p*x+4*b*c*g* q*x+74*b*c*g*x^2+10*b*c*p^2*x+12*b*c*p*q*x+32*b*c*p*x^2+2*b*c*q^2*x+32*b*c*q*x^ 2-b*g^3*x+5*b*g^2*p*x-2*b*g^2*q*x+29*b*g^2*x^2+8*b*g*p^2*x+7*b*g*p*q*x+37*b*g*p *x^2-b*g*q^2*x+37*b*g*q*x^2+2*b*p^3*x+4*b*p^2*q*x+8*b*p^2*x^2+2*b*p*q^2*x+16*b* p*q*x^2+8*b*q^2*x^2+4*c^3*g*x+4*c^2*g^2*x+8*c^2*g*p*x+4*c^2*g*q*x+8*c^2*g*x^2+c *g^3*x+6*c*g^2*p*x+2*c*g^2*q*x+8*c*g^2*x^2+5*c*g*p^2*x+6*c*g*p*q*x+8*c*g*p*x^2+ c*g*q^2*x+8*c*g*q*x^2+g^3*p*x+2*g^3*x^2+2*g^2*p^2*x+2*g^2*p*q*x+4*g^2*p*x^2+4*g ^2*q*x^2+g*p^3*x+2*g*p^2*q*x+2*g*p^2*x^2+g*p*q^2*x+4*g*p*q*x^2+2*g*q^2*x^2-8*a^ 3*b-4*a^3*q+36*a^3*x-16*a^2*b^2-24*a^2*b*c-12*a^2*b*g-12*a^2*b*p-12*a^2*b*q-12* a^2*b*x-4*a^2*c*g-8*a^2*c*q+92*a^2*c*x-2*a^2*g^2-4*a^2*g*q+32*a^2*g*x-6*a^2*p*q +80*a^2*p*x-2*a^2*q^2-6*a^2*q*x+324*a^2*x^2-8*a*b^3-32*a*b^2*c-12*a*b^2*g-20*a* b^2*p-8*a*b^2*q-132*a*b^2*x-24*a*b*c^2-28*a*b*c*g-24*a*b*c*p-20*a*b*c*q+32*a*b* c*x-6*a*b*g^2-16*a*b*g*p-8*a*b*g*q-56*a*b*g*x-4*a*b*p^2-14*a*b*p*q+106*a*b*p*x-\ 2*a*b*q^2-66*a*b*q*x+648*a*b*x^2-8*a*c^2*g-4*a*c^2*q+68*a*c^2*x-6*a*c*g^2-6*a*c *g*p-8*a*c*g*q+64*a*c*g*x-6*a*c*p*q+108*a*c*p*x-2*a*c*q^2+22*a*c*q*x+272*a*c*x^ 2-a*g^3-3*a*g^2*p-2*a*g^2*q+5*a*g^2*x-5*a*g*p*q+66*a*g*p*x-a*g*q^2-9*a*g*q*x+ 230*a*g*x^2-2*a*p^2*q+37*a*p^2*x-2*a*p*q^2+31*a*p*q*x+136*a*p*x^2-6*a*q^2*x+136 *a*q*x^2-8*b^3*c-8*b^3*p-84*b^3*x-16*b^2*c^2-12*b^2*c*g-20*b^2*c*p-8*b^2*c*q-60 *b^2*c*x-12*b^2*g*p-88*b^2*g*x-4*b^2*p^2-8*b^2*p*q+26*b^2*p*x-60*b^2*q*x+324*b^ 2*x^2-8*b*c^3-16*b*c^2*g-12*b*c^2*p-8*b*c^2*q+36*b*c^2*x-6*b*c*g^2-20*b*c*g*p-8 *b*c*g*q-12*b*c*g*x-4*b*c*p^2-10*b*c*p*q+86*b*c*p*x-2*b*c*q^2+272*b*c*x^2-6*b*g ^2*p-25*b*g^2*x-4*b*g*p^2-8*b*g*p*q+39*b*g*p*x-36*b*g*q*x+230*b*g*x^2-2*b*p^2*q +34*b*p^2*x-2*b*p*q^2+25*b*p*q*x+136*b*p*x^2-9*b*q^2*x+136*b*q*x^2-4*c^3*g+12*c ^3*x-4*c^2*g^2-6*c^2*g*p-4*c^2*g*q+28*c^2*g*x+24*c^2*p*x+12*c^2*q*x+32*c^2*x^2- c*g^3-5*c*g^2*p-2*c*g^2*q+9*c*g^2*x-2*c*g*p^2-5*c*g*p*q+48*c*g*p*x-c*g*q^2+10*c *g*q*x+84*c*g*x^2+15*c*p^2*x+18*c*p*q*x+32*c*p*x^2+3*c*q^2*x+32*c*q*x^2-g^3*p-g ^3*x-g^2*p^2-2*g^2*p*q+13*g^2*p*x-3*g^2*q*x+34*g^2*x^2-g*p^2*q+17*g*p^2*x-g*p*q ^2+15*g*p*q*x+42*g*p*x^2-2*g*q^2*x+42*g*q*x^2+3*p^3*x+6*p^2*q*x+8*p^2*x^2+3*p*q ^2*x+16*p*q*x^2+8*q^2*x^2-12*a^3-60*a^2*b-36*a^2*c-22*a^2*g-18*a^2*p-20*a^2*q-\ 24*a^2*x-44*a*b^2-124*a*b*c-50*a*b*g-80*a*b*p-26*a*b*q-344*a*b*x-36*a*c^2-56*a* c*g-36*a*c*p-32*a*c*q+36*a*c*x-14*a*g^2-30*a*g*p-15*a*g*q-58*a*g*x-6*a*p^2-25*a *p*q+114*a*p*x-2*a*q^2-86*a*q*x+544*a*x^2+4*b^3-48*b^2*c-52*b^2*p+4*b^2*q-320*b ^2*x-64*b*c^2-56*b*c*g-80*b*c*p-30*b*c*q-140*b*c*x-3*b*g^2-52*b*g*p-206*b*g*x-\ 16*b*p^2-32*b*p*q+56*b*p*x+b*q^2-144*b*q*x+544*b*x^2-12*c^3-34*c^2*g-18*c^2*p-\ 12*c^2*q+36*c^2*x-16*c*g^2-40*c*g*p-17*c*g*q-4*c*g*x-6*c*p^2-15*c*p*q+84*c*p*x-\ 3*c*q^2-2*c*q*x+208*c*x^2-g^3-13*g^2*p-g^2*q-23*g^2*x-8*g*p^2-16*g*p*q+46*g*p*x -39*g*q*x+188*g*x^2-3*p^2*q+33*p^2*x-3*p*q^2+23*p*q*x+104*p*x^2-10*q^2*x+104*q* x^2-54*a^2-80*a*b-116*a*c-55*a*g-75*a*p-18*a*q-284*a*x+22*b^2-100*b*c-5*b*g-110 *b*p+15*b*q-524*b*x-62*c^2-67*c*g-75*c*p-27*c*q-104*c*x-8*g^2-55*g*p-g*q-154*g* x-15*p^2-30*p*q+38*p*x+2*q^2-112*q*x+336*x^2-50*a+38*b-72*c-11*g-75*p+14*q-312* x+20): # Pcpq is normalized so that Pcpq=x^3(x-1)^3dx^4+ ... # denom(Pcpq)=denom(Qcpq)=2*a+2*b+4*c+2*g+p+q+4 Pcpq:= x^3*(x-1)^3*dx^4+x^2*(x-1)^2*(14*a^2*x+28*a*b*x+36*a*c*x+20*a*g*x +11*a*p*x+11*a*q*x+14*b^2*x+36*b*c*x+20*b*g*x+11*b*p*x+11*b*q*x+16*c^2*x+20*c*g *x+12*c*p*x+12*c*q*x+6*g^2*x+7*g*p*x+7*g*q*x+2*p^2*x+4*p*q*x+2*q^2*x-6*a^2-14*a *b-14*a*c-8*a*g-3*a*p-7*a*q+68*a*x-8*b^2-22*b*c-12*b*g-4*b*p-8*b*q+68*b*x-8*c^2 -10*c*g-c*p-11*c*q+96*c*x-3*g^2-g*p-6*g*q+52*g*x-2*p*q+28*p*x-2*q^2+28*q*x-32*a -36*b-48*c-26*g-10*p-18*q+80*x-40)/(2*a+2*b+4*c+2*g+p+q+4)*dx^3+x*(x-1)*(36*a ^3*x^2+108*a^2*b*x^2+112*a^2*c*x^2+66*a^2*g*x^2+38*a^2*p*x^2+38*a^2*q*x^2+108*a *b^2*x^2+224*a*b*c*x^2+132*a*b*g*x^2+76*a*b*p*x^2+76*a*b*q*x^2+88*a*c^2*x^2+116 *a*c*g*x^2+68*a*c*p*x^2+68*a*c*q*x^2+36*a*g^2*x^2+43*a*g*p*x^2+43*a*g*q*x^2+12* a*p^2*x^2+24*a*p*q*x^2+12*a*q^2*x^2+36*b^3*x^2+112*b^2*c*x^2+66*b^2*g*x^2+38*b^ 2*p*x^2+38*b^2*q*x^2+88*b*c^2*x^2+116*b*c*g*x^2+68*b*c*p*x^2+68*b*c*q*x^2+36*b* g^2*x^2+43*b*g*p*x^2+43*b*g*q*x^2+12*b*p^2*x^2+24*b*p*q*x^2+12*b*q^2*x^2+16*c^3 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*q^2-180*b*g^2*q*x+838*b*g^2*x^2-2*b*g*p^2*q-61*b*g*p^2*x-2*b*g*p*q^2-155*b*g*p *q*x+960*b*g*p*x^2-94*b*g*q^2*x+960*b*g*q*x^2-7*b*p^3*x-27*b*p^2*q*x+242*b*p^2* x^2-33*b*p*q^2*x+484*b*p*q*x^2-13*b*q^3*x+242*b*q^2*x^2-16*c^5-48*c^4*g-16*c^4* p-16*c^4*q-56*c^3*g^2-40*c^3*g*p-40*c^3*g*q-48*c^3*g*x-4*c^3*p^2-12*c^3*p*q-4*c ^3*q^2+192*c^3*x^2-32*c^2*g^3-36*c^2*g^2*p-36*c^2*g^2*q-72*c^2*g^2*x-8*c^2*g*p^ 2-24*c^2*g*p*q-48*c^2*g*p*x-8*c^2*g*q^2-72*c^2*g*q*x+648*c^2*g*x^2-2*c^2*p^2*q-\ 2*c^2*p*q^2+240*c^2*p*x^2+240*c^2*q*x^2-9*c*g^4-14*c*g^3*p-14*c*g^3*q-36*c*g^3* x-5*c*g^2*p^2-15*c*g^2*p*q-48*c*g^2*p*x-5*c*g^2*q^2-72*c*g^2*q*x+504*c*g^2*x^2-\ 3*c*g*p^2*q-16*c*g*p^2*x-3*c*g*p*q^2-48*c*g*p*q*x+522*c*g*p*x^2-32*c*g*q^2*x+ 522*c*g*q*x^2+96*c*p^2*x^2+192*c*p*q*x^2+96*c*q^2*x^2-g^5-2*g^4*p-2*g^4*q-6*g^4 *x-g^3*p^2-3*g^3*p*q-12*g^3*p*x-g^3*q^2-18*g^3*q*x+114*g^3*x^2-g^2*p^2*q-8*g^2* p^2*x-g^2*p*q^2-24*g^2*p*q*x+201*g^2*p*x^2-16*g^2*q^2*x+201*g^2*q*x^2-2*g*p^3*x -8*g*p^2*q*x+99*g*p^2*x^2-10*g*p*q^2*x+198*g*p*q*x^2-4*g*q^3*x+99*g*q^2*x^2+12* p^3*x^2+36*p^2*q*x^2+36*p*q^2*x^2+12*q^3*x^2+16*a^4+72*a^3*b-64*a^3*c-24*a^3*g+ 16*a^3*p+28*a^3*q-1100*a^3*x+120*a^2*b^2-112*a^2*b*c-32*a^2*b*g+56*a^2*b*p+92*a ^2*b*q-3404*a^2*b*x-272*a^2*c^2-288*a^2*c*g-56*a^2*c*p-40*a^2*c*q-2452*a^2*c*x-\ 76*a^2*g^2-20*a^2*g*p-8*a^2*g*q-1618*a^2*g*x+4*a^2*p^2+20*a^2*p*q-896*a^2*p*x+ 16*a^2*q^2-1064*a^2*q*x+3032*a^2*x^2+88*a*b^3+24*a*b^2*c+36*a*b^2*g+64*a*b^2*p+ 100*a*b^2*q-3508*a*b^2*x-432*a*b*c^2-424*a*b*c*g-100*a*b*c*p+24*a*b*c*q-5616*a* b*c*x-104*a*b*g^2-34*a*b*g*p+36*a*b*g*q-3592*a*b*g*x+10*a*b*p^2+44*a*b*p*q-1856 *a*b*p*x+34*a*b*q^2-2192*a*b*q*x+6064*a*b*x^2-288*a*c^3-488*a*c^2*g-144*a*c^2*p -140*a*c^2*q-1472*a*c^2*x-272*a*c*g^2-156*a*c*g*p-136*a*c*g*q-2260*a*c*g*x-12*a *c*p^2-36*a*c*p*q-1022*a*c*p*x+6*a*c*q^2-1466*a*c*q*x+4976*a*c*x^2-50*a*g^3-42* a*g^2*p-33*a*g^2*q-762*a*g^2*x-4*a*g*p^2-10*a*g*p*q-789*a*g*p*x+9*a*g*q^2-1051* a*g*q*x+3220*a*g*x^2+3*a*p^2*q-185*a*p^2*x+6*a*p*q^2-478*a*p*q*x+1756*a*p*x^2+3 *a*q^3-293*a*q^2*x+1756*a*q*x^2+24*b^4+72*b^3*c+44*b^3*g+24*b^3*p+36*b^3*q-1204 *b^3*x-104*b^2*c^2-80*b^2*c*g-36*b^2*c*p+72*b^2*c*q-3164*b^2*c*x-14*b^2*g^2-10* b^2*g*p+48*b^2*g*q-1974*b^2*g*x+6*b^2*p^2+24*b^2*p*q-960*b^2*p*x+18*b^2*q^2-\ 1128*b^2*q*x+3032*b^2*x^2-248*b*c^3-388*b*c^2*g-148*b*c^2*p-76*b*c^2*q-1888*b*c ^2*x-202*b*c*g^2-152*b*c*g*p-52*b*c*g*q-2772*b*c*g*x-14*b*c*p^2-26*b*c*p*q-1182 *b*c*p*x+18*b*c*q^2-1626*b*c*q*x+4976*b*c*x^2-35*b*g^3-39*b*g^2*p-7*b*g^2*q-914 *b*g^2*x-5*b*g*p^2-5*b*g*p*q-869*b*g*p*x+15*b*g*q^2-1131*b*g*q*x+3220*b*g*x^2+3 *b*p^2*q-191*b*p^2*x+6*b*p*q^2-490*b*p*q*x+1756*b*p*x^2+3*b*q^3-299*b*q^2*x+ 1756*b*q*x^2-96*c^4-224*c^3*g-72*c^3*p-72*c^3*q-192*c^3*x-192*c^2*g^2-128*c^2*g *p-116*c^2*g*q-648*c^2*g*x-12*c^2*p^2-40*c^2*p*q-180*c^2*p*x-12*c^2*q^2-300*c^2 *q*x+1440*c^2*x^2-72*c*g^3-74*c*g^2*p-62*c*g^2*q-504*c*g^2*x-14*c*g*p^2-42*c*g* p*q-418*c*g*p*x-6*c*g*q^2-626*c*g*q*x+2256*c*g*x^2-4*c*p^2*q-54*c*p^2*x-4*c*p*q ^2-192*c*p*q*x+1128*c*p*x^2-138*c*q^2*x+1128*c*q*x^2-10*g^4-14*g^3*p-11*g^3*q-\ 114*g^3*x-4*g^2*p^2-11*g^2*p*q-164*g^2*p*x-238*g^2*q*x+768*g^2*x^2-g*p^2*q-68*g *p^2*x-198*g*p*q*x+846*g*p*x^2+g*q^3-130*g*q^2*x+846*g*q*x^2-6*p^3*x-30*p^2*q*x +204*p^2*x^2-42*p*q^2*x+408*p*q*x^2-18*q^3*x+204*q^2*x^2+144*a^3+484*a^2*b+80*a ^2*c+96*a^2*g+104*a^2*p+186*a^2*q-2924*a^2*x+536*a*b^2+476*a*b*c+350*a*b*g+238* a*b*p+406*a*b*q-6064*a*b*x-248*a*c^2-184*a*c*g-12*a*c*p+168*a*c*q-4688*a*c*x-30 *a*g^2+30*a*g*p+140*a*g*q-3076*a*g*x+16*a*p^2+81*a*p*q-1534*a*p*x+69*a*q^2-1918 *a*q*x+3936*a*x^2+196*b^3+436*b^2*c+274*b^2*g+134*b^2*p+220*b^2*q-3140*b^2*x-40 *b*c^2+72*b*c*g+26*b*c*p+290*b*c*q-5264*b*c*x+46*b*g^2+49*b*g*p+201*b*g*q-3364* b*g*x+18*b*p^2+87*b*p*q-1594*b*p*x+73*b*q^2-1978*b*q*x+3936*b*x^2-184*c^3-268*c ^2*g-92*c^2*p-32*c^2*q-1440*c^2*x-130*c*g^2-80*c*g*p+24*c*g*q-2256*c*g*x-6*c*p^ 2-2*c*p*q-900*c*p*x+36*c*q^2-1356*c*q*x+3264*c*x^2-21*g^3-17*g^2*p+20*g^2*q-768 *g^2*x+g*p^2+17*g*p*q-708*g*p*x+32*g*q^2-984*g*q*x+2136*g*x^2+4*p^2*q-144*p^2*x +10*p*q^2-408*p*q*x+1128*p*x^2+6*q^3-264*q^2*x+1128*q*x^2+488*a^2+1084*a*b+588* a*c+422*a*g+224*a*p+412*a*q-3864*a*x+596*b^2+876*b*c+566*b*g+250*b*p+446*b*q-\ 4008*b*x+72*c^2+200*c*g+62*c*p+290*c*q-3264*c*x+82*g^2+71*g*p+209*g*q-2136*g*x+ 14*p^2+80*p*q-984*p*x+74*q^2-1272*q*x+2016*x^2+732*a+804*b+584*c+388*g+158*p+ 302*q-2016*x+408)/(2*a+2*b+4*c+2*g+p+q+4): # denom(Prcpq)=denom(Qrcpq)=(p+q) Prcpqt:= x^3*(x-1)^3*dx^4+x^2*(x-1)^2*(7*a*p*x+7*a*q*x+7*b*p*x+7*b*q*x+4* c*p*x+4*c*q*x+3*g*p*x+3*g*q*x+2*p^2*x+4*p*q*x+2*q^2*x-3*a*p-a*q-6*b*p-4*b*q-3*c *p-c*q-2*g*p-g*q-2*p*q+20*p*x-2*q^2+20*q*x-12*p-8*q)/(p+q)*dx^3+x*(x-1)*(18*a ^2*p*x^2+18*a^2*q*x^2+36*a*b*p*x^2+36*a*b*q*x^2+20*a*c*p*x^2+20*a*c*q*x^2+15*a* g*p*x^2+15*a*g*q*x^2+10*a*p^2*x^2+20*a*p*q*x^2+10*a*q^2*x^2+18*b^2*p*x^2+18*b^2 *q*x^2+20*b*c*p*x^2+20*b*c*q*x^2+15*b*g*p*x^2+15*b*g*q*x^2+10*b*p^2*x^2+20*b*p* q*x^2+10*b*q^2*x^2+4*c^2*p*x^2+4*c^2*q*x^2+8*c*g*p*x^2+8*c*g*q*x^2+4*c*p^2*x^2+ 8*c*p*q*x^2+4*c*q^2*x^2+3*g^2*p*x^2+3*g^2*q*x^2+4*g*p^2*x^2+8*g*p*q*x^2+4*g*q^2 *x^2+p^3*x^2+3*p^2*q*x^2+3*p*q^2*x^2+q^3*x^2-16*a^2*p*x-6*a^2*q*x-46*a*b*p*x-26 *a*b*q*x-22*a*c*p*x-8*a*c*q*x-16*a*g*p*x-7*a*g*q*x-6*a*p^2*x-17*a*p*q*x+93*a*p* x^2-11*a*q^2*x+93*a*q*x^2-30*b^2*p*x-20*b^2*q*x-32*b*c*p*x-18*b*c*q*x-23*b*g*p* x-14*b*g*q*x-9*b*p^2*x-23*b*p*q*x+93*b*p*x^2-14*b*q^2*x+93*b*q*x^2-6*c^2*p*x-2* c^2*q*x-11*c*g*p*x-5*c*g*q*x-3*c*p^2*x-8*c*p*q*x+50*c*p*x^2-5*c*q^2*x+50*c*q*x^ 2-4*g^2*p*x-2*g^2*q*x-3*g*p^2*x-8*g*p*q*x+39*g*p*x^2-5*g*q^2*x+39*g*q*x^2-2*p^2 *q*x+25*p^2*x^2-4*p*q^2*x+50*p*q*x^2-2*q^3*x+25*q^2*x^2+2*a^2*p+12*a*b*p+2*a*b* q+4*a*c*p+3*a*g*p+5*a*p*q-98*a*p*x+a*q^2-54*a*q*x+12*b^2*p+4*b^2*q+12*b*c*p+2*b *c*q+8*b*g*p+2*b*g*q+8*b*p*q-132*b*p*x+4*b*q^2-88*b*q*x+2*c^2*p+3*c*g*p+5*c*p*q -66*c*p*x+c*q^2-34*c*q*x+g^2*p+3*g*p*q-49*g*p*x+g*q^2-29*g*q*x-18*p^2*x+p*q^2-\ 50*p*q*x+120*p*x^2+q^3-32*q^2*x+120*q*x^2+19*a*p+3*a*q+42*b*p+14*b*q+19*c*p+3*c *q+13*g*p+3*g*q+15*p*q-144*p*x+7*q^2-96*q*x+36*p+12*q)/(p+q)*dx^2+(20*a^3*p*x ^3+20*a^3*q*x^3+60*a^2*b*p*x^3+60*a^2*b*q*x^3+32*a^2*c*p*x^3+32*a^2*c*q*x^3+24* a^2*g*p*x^3+24*a^2*g*q*x^3+16*a^2*p^2*x^3+32*a^2*p*q*x^3+16*a^2*q^2*x^3+60*a*b^ 2*p*x^3+60*a*b^2*q*x^3+64*a*b*c*p*x^3+64*a*b*c*q*x^3+48*a*b*g*p*x^3+48*a*b*g*q* x^3+32*a*b*p^2*x^3+64*a*b*p*q*x^3+32*a*b*q^2*x^3+12*a*c^2*p*x^3+12*a*c^2*q*x^3+ 24*a*c*g*p*x^3+24*a*c*g*q*x^3+12*a*c*p^2*x^3+24*a*c*p*q*x^3+12*a*c*q^2*x^3+9*a* g^2*p*x^3+9*a*g^2*q*x^3+12*a*g*p^2*x^3+24*a*g*p*q*x^3+12*a*g*q^2*x^3+3*a*p^3*x^ 3+9*a*p^2*q*x^3+9*a*p*q^2*x^3+3*a*q^3*x^3+20*b^3*p*x^3+20*b^3*q*x^3+32*b^2*c*p* x^3+32*b^2*c*q*x^3+24*b^2*g*p*x^3+24*b^2*g*q*x^3+16*b^2*p^2*x^3+32*b^2*p*q*x^3+ 16*b^2*q^2*x^3+12*b*c^2*p*x^3+12*b*c^2*q*x^3+24*b*c*g*p*x^3+24*b*c*g*q*x^3+12*b *c*p^2*x^3+24*b*c*p*q*x^3+12*b*c*q^2*x^3+9*b*g^2*p*x^3+9*b*g^2*q*x^3+12*b*g*p^2 *x^3+24*b*g*p*q*x^3+12*b*g*q^2*x^3+3*b*p^3*x^3+9*b*p^2*q*x^3+9*b*p*q^2*x^3+3*b* q^3*x^3+4*c^2*g*p*x^3+4*c^2*g*q*x^3+4*c*g^2*p*x^3+4*c*g^2*q*x^3+4*c*g*p^2*x^3+8 *c*g*p*q*x^3+4*c*g*q^2*x^3+g^3*p*x^3+g^3*q*x^3+2*g^2*p^2*x^3+4*g^2*p*q*x^3+2*g^ 2*q^2*x^3+g*p^3*x^3+3*g*p^2*q*x^3+3*g*p*q^2*x^3+g*q^3*x^3-28*a^3*p*x^2-12*a^3*q *x^2-104*a^2*b*p*x^2-56*a^2*b*q*x^2-48*a^2*c*p*x^2-20*a^2*c*q*x^2-36*a^2*g*p*x^ 2-16*a^2*g*q*x^2-20*a^2*p^2*x^2-40*a^2*p*q*x^2+138*a^2*p*x^3-20*a^2*q^2*x^2+138 *a^2*q*x^3-124*a*b^2*p*x^2-76*a*b^2*q*x^2-124*a*b*c*p*x^2-68*a*b*c*q*x^2-92*a*b *g*p*x^2-52*a*b*g*q*x^2-48*a*b*p^2*x^2-96*a*b*p*q*x^2+276*a*b*p*x^3-48*a*b*q^2* x^2+276*a*b*q*x^3-20*a*c^2*p*x^2-8*a*c^2*q*x^2-40*a*c*g*p*x^2-18*a*c*g*q*x^2-16 *a*c*p^2*x^2-32*a*c*p*q*x^2+142*a*c*p*x^3-16*a*c*q^2*x^2+142*a*c*q*x^3-15*a*g^2 *p*x^2-7*a*g^2*q*x^2-16*a*g*p^2*x^2-32*a*g*p*q*x^2+111*a*g*p*x^3-16*a*g*q^2*x^2 +111*a*g*q*x^3-3*a*p^3*x^2-12*a*p^2*q*x^2+71*a*p^2*x^3-15*a*p*q^2*x^2+142*a*p*q *x^3-6*a*q^3*x^2+71*a*q^2*x^3-48*b^3*p*x^2-32*b^3*q*x^2-76*b^2*c*p*x^2-48*b^2*c *q*x^2-56*b^2*g*p*x^2-36*b^2*g*q*x^2-28*b^2*p^2*x^2-56*b^2*p*q*x^2+138*b^2*p*x^ 3-28*b^2*q^2*x^2+138*b^2*q*x^3-28*b*c^2*p*x^2-16*b*c^2*q*x^2-54*b*c*g*p*x^2-32* b*c*g*q*x^2-20*b*c*p^2*x^2-40*b*c*p*q*x^2+142*b*c*p*x^3-20*b*c*q^2*x^2+142*b*c* q*x^3-20*b*g^2*p*x^2-12*b*g^2*q*x^2-20*b*g*p^2*x^2-40*b*g*p*q*x^2+111*b*g*p*x^3 -20*b*g*q^2*x^2+111*b*g*q*x^3-3*b*p^3*x^2-12*b*p^2*q*x^2+71*b*p^2*x^3-15*b*p*q^ 2*x^2+142*b*p*q*x^3-6*b*q^3*x^2+71*b*q^2*x^3-8*c^2*g*p*x^2-4*c^2*g*q*x^2+24*c^2 *p*x^3+24*c^2*q*x^3-8*c*g^2*p*x^2-4*c*g^2*q*x^2-6*c*g*p^2*x^2-12*c*g*p*q*x^2+54 *c*g*p*x^3-6*c*g*q^2*x^2+54*c*g*q*x^3+24*c*p^2*x^3+48*c*p*q*x^3+24*c*q^2*x^3-2* g^3*p*x^2-g^3*q*x^2-3*g^2*p^2*x^2-6*g^2*p*q*x^2+21*g^2*p*x^3-3*g^2*q^2*x^2+21*g ^2*q*x^3-g*p^3*x^2-4*g*p^2*q*x^2+27*g*p^2*x^3-5*g*p*q^2*x^2+54*g*p*q*x^3-2*g*q^ 3*x^2+27*g*q^2*x^3+6*p^3*x^3+18*p^2*q*x^3+18*p*q^2*x^3+6*q^3*x^3+8*a^3*p*x+48*a ^2*b*p*x+8*a^2*b*q*x+16*a^2*c*p*x+12*a^2*g*p*x+4*a^2*p^2*x+18*a^2*p*q*x-214*a^2 *p*x^2+4*a^2*q^2*x-114*a^2*q*x^2+76*a*b^2*p*x+20*a*b^2*q*x+68*a*b*c*p*x+12*a*b* c*q*x+50*a*b*g*p*x+10*a*b*g*q*x+16*a*b*p^2*x+52*a*b*p*q*x-514*a*b*p*x^2+16*a*b* q^2*x-314*a*b*q*x^2+8*a*c^2*p*x+16*a*c*g*p*x+4*a*c*p^2*x+22*a*c*p*q*x-242*a*c*p *x^2+4*a*c*q^2*x-126*a*c*q*x^2+6*a*g^2*p*x+4*a*g*p^2*x+17*a*g*p*q*x-187*a*g*p*x ^2+4*a*g*q^2*x-103*a*g*q*x^2+5*a*p^2*q*x-97*a*p^2*x^2+8*a*p*q^2*x-197*a*p*q*x^2 +316*a*p*x^3+3*a*q^3*x-100*a*q^2*x^2+316*a*q*x^3+36*b^3*p*x+12*b^3*q*x+56*b^2*c *p*x+16*b^2*c*q*x+40*b^2*g*p*x+12*b^2*g*q*x+12*b^2*p^2*x+34*b^2*p*q*x-300*b^2*p *x^2+12*b^2*q^2*x-200*b^2*q*x^2+20*b*c^2*p*x+4*b*c^2*q*x+36*b*c*g*p*x+8*b*c*g*q *x+8*b*c*p^2*x+30*b*c*p*q*x-300*b*c*p*x^2+8*b*c*q^2*x-184*b*c*q*x^2+13*b*g^2*p* x+3*b*g^2*q*x+8*b*g*p^2*x+25*b*g*p*q*x-230*b*g*p*x^2+8*b*g*q^2*x-146*b*g*q*x^2+ 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2+8*a*b*g*q*x^2+4*a*b*p^2*x^2+8*a*b*p*q*x^2+4*a*b*q^2*x^2+2*a*c*g*p*x^2+2*a*c*g *q*x^2+a*g^2*p*x^2+a*g^2*q*x^2+a*g*p^2*x^2+2*a*g*p*q*x^2+a*g*q^2*x^2+4*b^3*p*x^ 2+4*b^3*q*x^2+4*b^2*c*p*x^2+4*b^2*c*q*x^2+4*b^2*g*p*x^2+4*b^2*g*q*x^2+2*b^2*p^2 *x^2+4*b^2*p*q*x^2+2*b^2*q^2*x^2+2*b*c*g*p*x^2+2*b*c*g*q*x^2+b*g^2*p*x^2+b*g^2* q*x^2+b*g*p^2*x^2+2*b*g*p*q*x^2+b*g*q^2*x^2-4*a^3*p*x-16*a^2*b*p*x-4*a^2*b*q*x-\ 4*a^2*c*p*x-4*a^2*g*p*x-2*a^2*p^2*x-4*a^2*p*q*x+24*a^2*p*x^2-2*a^2*q^2*x+24*a^2 *q*x^2-20*a*b^2*p*x-8*a*b^2*q*x-12*a*b*c*p*x-4*a*b*c*q*x-12*a*b*g*p*x-4*a*b*g*q *x-4*a*b*p^2*x-8*a*b*p*q*x+48*a*b*p*x^2-4*a*b*q^2*x+48*a*b*q*x^2-2*a*c*g*p*x+14 *a*c*p*x^2+14*a*c*q*x^2-a*g^2*p*x-a*g*p^2*x-2*a*g*p*q*x+16*a*g*p*x^2-a*g*q^2*x+ 16*a*g*q*x^2+7*a*p^2*x^2+14*a*p*q*x^2+7*a*q^2*x^2-8*b^3*p*x-4*b^3*q*x-8*b^2*c*p *x-4*b^2*c*q*x-8*b^2*g*p*x-4*b^2*g*q*x-2*b^2*p^2*x-4*b^2*p*q*x+24*b^2*p*x^2-2*b ^2*q^2*x+24*b^2*q*x^2-4*b*c*g*p*x-2*b*c*g*q*x+14*b*c*p*x^2+14*b*c*q*x^2-2*b*g^2 *p*x-b*g^2*q*x-b*g*p^2*x-2*b*g*p*q*x+16*b*g*p*x^2-b*g*q^2*x+16*b*g*q*x^2+7*b*p^ 2*x^2+14*b*p*q*x^2+7*b*q^2*x^2+4*c*g*p*x^2+4*c*g*q*x^2+2*g^2*p*x^2+2*g^2*q*x^2+ 2*g*p^2*x^2+4*g*p*q*x^2+2*g*q^2*x^2+4*a^2*b*p+2*a^2*p*q-28*a^2*p*x-6*a^2*q*x+8* a*b^2*p+4*a*b*c*p+4*a*b*g*p+4*a*b*p*q-70*a*b*p*x-26*a*b*q*x-18*a*c*p*x-4*a*c*q* x+a*g*p*q-20*a*g*p*x-5*a*g*q*x-7*a*p^2*x-14*a*p*q*x+47*a*p*x^2-7*a*q^2*x+47*a*q *x^2+4*b^3*p+4*b^2*c*p+4*b^2*g*p+2*b^2*p*q-42*b^2*p*x-20*b^2*q*x+2*b*c*g*p-24*b *c*p*x-10*b*c*q*x+b*g^2*p+b*g*p*q-27*b*g*p*x-12*b*g*q*x-7*b*p^2*x-14*b*p*q*x+47 *b*p*x^2-7*b*q^2*x+47*b*q*x^2-2*c^2*p*q-c*g*p*q-6*c*g*p*x-2*c*g*q*x+12*c*p*x^2+ 12*c*q*x^2-3*g^2*p*x-g^2*q*x-2*g*p^2*x-4*g*p*q*x+16*g*p*x^2-2*g*q^2*x+16*g*q*x^ 2+6*p^2*x^2+12*p*q*x^2+6*q^2*x^2+4*a^2*p+22*a*b*p+4*a*c*p+4*a*g*p+6*a*p*q-61*a* p*x-21*a*q*x+18*b^2*p+10*b*c*p+11*b*g*p+6*b*p*q-73*b*p*x-33*b*q*x+2*c*g*p-2*c*p *q-18*c*p*x-6*c*q*x+g^2*p+g*p*q-23*g*p*x-9*g*q*x-6*p^2*x-12*p*q*x+30*p*x^2-6*q^ 2*x+30*q*x^2+14*a*p+26*b*p+6*c*p+7*g*p+4*p*q-42*p*x-18*q*x+12*p)/(p+q): Prcpq:=numer(Prcpqt): Qrcpqt:= x^3*(x-1)^3*dx^4+x^2*(x-1)^2*(7*a*p*x+7*a*q*x+7*b*p*x+7*b*q*x+4* c*p*x+4*c*q*x+3*g*p*x+3*g*q*x+2*p^2*x+4*p*q*x+2*q^2*x-3*a*p-a*q-6*b*p-4*b*q-3*c *p-c*q-2*g*p-g*q-2*p*q+26*p*x-2*q^2+26*q*x-15*p-11*q)/(p+q)*dx^3+x*(x-1)*(18* a^2*p*x^2+18*a^2*q*x^2+36*a*b*p*x^2+36*a*b*q*x^2+20*a*c*p*x^2+20*a*c*q*x^2+15*a *g*p*x^2+15*a*g*q*x^2+10*a*p^2*x^2+20*a*p*q*x^2+10*a*q^2*x^2+18*b^2*p*x^2+18*b^ 2*q*x^2+20*b*c*p*x^2+20*b*c*q*x^2+15*b*g*p*x^2+15*b*g*q*x^2+10*b*p^2*x^2+20*b*p *q*x^2+10*b*q^2*x^2+4*c^2*p*x^2+4*c^2*q*x^2+8*c*g*p*x^2+8*c*g*q*x^2+4*c*p^2*x^2 +8*c*p*q*x^2+4*c*q^2*x^2+3*g^2*p*x^2+3*g^2*q*x^2+4*g*p^2*x^2+8*g*p*q*x^2+4*g*q^ 2*x^2+p^3*x^2+3*p^2*q*x^2+3*p*q^2*x^2+q^3*x^2-16*a^2*p*x-6*a^2*q*x-46*a*b*p*x-\ 26*a*b*q*x-22*a*c*p*x-8*a*c*q*x-16*a*g*p*x-7*a*g*q*x-6*a*p^2*x-17*a*p*q*x+124*a *p*x^2-11*a*q^2*x+124*a*q*x^2-30*b^2*p*x-20*b^2*q*x-32*b*c*p*x-18*b*c*q*x-23*b* g*p*x-14*b*g*q*x-9*b*p^2*x-23*b*p*q*x+124*b*p*x^2-14*b*q^2*x+124*b*q*x^2-6*c^2* p*x-2*c^2*q*x-11*c*g*p*x-5*c*g*q*x-3*c*p^2*x-8*c*p*q*x+66*c*p*x^2-5*c*q^2*x+66* c*q*x^2-4*g^2*p*x-2*g^2*q*x-3*g*p^2*x-8*g*p*q*x+52*g*p*x^2-5*g*q^2*x+52*g*q*x^2 -2*p^2*q*x+33*p^2*x^2-4*p*q^2*x+66*p*q*x^2-2*q^3*x+33*q^2*x^2+2*a^2*p+12*a*b*p+ 2*a*b*q+4*a*c*p+3*a*g*p+5*a*p*q-123*a*p*x+a*q^2-75*a*q*x+12*b^2*p+4*b^2*q+12*b* c*p+2*b*c*q+8*b*g*p+2*b*g*q+8*b*p*q-173*b*p*x+4*b*q^2-125*b*q*x+2*c^2*p+3*c*g*p +5*c*p*q-84*c*p*x+c*q^2-48*c*q*x+g^2*p+3*g*p*q-63*g*p*x+g*q^2-41*g*q*x-21*p^2*x +p*q^2-66*p*q*x+212*p*x^2+q^3-45*q^2*x+212*q*x^2+23*a*p+5*a*q+54*b*p+24*b*q+23* c*p+5*c*q+16*g*p+5*g*q+20*p*q-240*p*x+12*q^2-184*q*x+57*p+29*q)/(p+q)*dx^2+( 20*a^3*p*x^3+20*a^3*q*x^3+60*a^2*b*p*x^3+60*a^2*b*q*x^3+32*a^2*c*p*x^3+32*a^2*c *q*x^3+24*a^2*g*p*x^3+24*a^2*g*q*x^3+16*a^2*p^2*x^3+32*a^2*p*q*x^3+16*a^2*q^2*x ^3+60*a*b^2*p*x^3+60*a*b^2*q*x^3+64*a*b*c*p*x^3+64*a*b*c*q*x^3+48*a*b*g*p*x^3+ 48*a*b*g*q*x^3+32*a*b*p^2*x^3+64*a*b*p*q*x^3+32*a*b*q^2*x^3+12*a*c^2*p*x^3+12*a *c^2*q*x^3+24*a*c*g*p*x^3+24*a*c*g*q*x^3+12*a*c*p^2*x^3+24*a*c*p*q*x^3+12*a*c*q ^2*x^3+9*a*g^2*p*x^3+9*a*g^2*q*x^3+12*a*g*p^2*x^3+24*a*g*p*q*x^3+12*a*g*q^2*x^3 +3*a*p^3*x^3+9*a*p^2*q*x^3+9*a*p*q^2*x^3+3*a*q^3*x^3+20*b^3*p*x^3+20*b^3*q*x^3+ 32*b^2*c*p*x^3+32*b^2*c*q*x^3+24*b^2*g*p*x^3+24*b^2*g*q*x^3+16*b^2*p^2*x^3+32*b ^2*p*q*x^3+16*b^2*q^2*x^3+12*b*c^2*p*x^3+12*b*c^2*q*x^3+24*b*c*g*p*x^3+24*b*c*g *q*x^3+12*b*c*p^2*x^3+24*b*c*p*q*x^3+12*b*c*q^2*x^3+9*b*g^2*p*x^3+9*b*g^2*q*x^3 +12*b*g*p^2*x^3+24*b*g*p*q*x^3+12*b*g*q^2*x^3+3*b*p^3*x^3+9*b*p^2*q*x^3+9*b*p*q ^2*x^3+3*b*q^3*x^3+4*c^2*g*p*x^3+4*c^2*g*q*x^3+4*c*g^2*p*x^3+4*c*g^2*q*x^3+4*c* g*p^2*x^3+8*c*g*p*q*x^3+4*c*g*q^2*x^3+g^3*p*x^3+g^3*q*x^3+2*g^2*p^2*x^3+4*g^2*p *q*x^3+2*g^2*q^2*x^3+g*p^3*x^3+3*g*p^2*q*x^3+3*g*p*q^2*x^3+g*q^3*x^3-28*a^3*p*x ^2-12*a^3*q*x^2-104*a^2*b*p*x^2-56*a^2*b*q*x^2-48*a^2*c*p*x^2-20*a^2*c*q*x^2-36 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*x^2+3*g^3*q*x^2+6*g^2*p^2*x^2+12*g^2*p*q*x^2+6*g^2*q^2*x^2+3*g*p^3*x^2+9*g*p^2 *q*x^2+9*g*p*q^2*x^2+3*g*q^3*x^2+8*a^3*b*p+4*a^3*p*q-88*a^3*p*x-20*a^3*q*x+24*a ^2*b^2*p+16*a^2*b*c*p+12*a^2*b*g*p+4*a^2*b*p^2+16*a^2*b*p*q-340*a^2*b*p*x-136*a ^2*b*q*x+4*a^2*c*p*q-132*a^2*c*p*x-36*a^2*c*q*x+4*a^2*g*p*q-104*a^2*g*p*x-28*a^ 2*g*q*x+2*a^2*p^2*q-58*a^2*p^2*x+2*a^2*p*q^2-106*a^2*p*q*x+392*a^2*p*x^2-48*a^2 *q^2*x+392*a^2*q*x^2+24*a*b^3*p+32*a*b^2*c*p+24*a*b^2*g*p+8*a*b^2*p^2+20*a*b^2* p*q-416*a*b^2*p*x-212*a*b^2*q*x+8*a*b*c^2*p+16*a*b*c*g*p+4*a*b*c*p^2+12*a*b*c*p *q-360*a*b*c*p*x-168*a*b*c*q*x+6*a*b*g^2*p+4*a*b*g*p^2+12*a*b*g*p*q-284*a*b*g*p *x-132*a*b*g*q*x+4*a*b*p^2*q-142*a*b*p^2*x+4*a*b*p*q^2-264*a*b*p*q*x+784*a*b*p* x^2-122*a*b*q^2*x+784*a*b*q*x^2-4*a*c^2*p*q-44*a*c^2*p*x-16*a*c^2*q*x-98*a*c*g* p*x-34*a*c*g*q*x-36*a*c*p^2*x-70*a*c*p*q*x+356*a*c*p*x^2-34*a*c*q^2*x+356*a*c*q *x^2+a*g^2*p*q-38*a*g^2*p*x-13*a*g^2*q*x+a*g*p^2*q-41*a*g*p^2*x+a*g*p*q^2-77*a* g*p*q*x+298*a*g*p*x^2-36*a*g*q^2*x+298*a*g*q*x^2-7*a*p^3*x-27*a*p^2*q*x+178*a*p ^2*x^2-33*a*p*q^2*x+356*a*p*q*x^2-13*a*q^3*x+178*a*q^2*x^2+8*b^4*p+16*b^3*c*p+ 12*b^3*g*p+4*b^3*p^2+8*b^3*p*q-164*b^3*p*x-96*b^3*q*x+8*b^2*c^2*p+16*b^2*c*g*p+ 4*b^2*c*p^2+8*b^2*c*p*q-228*b^2*c*p*x-132*b^2*c*q*x+6*b^2*g^2*p+4*b^2*g*p^2+8*b ^2*g*p*q-180*b^2*g*p*x-104*b^2*g*q*x+2*b^2*p^2*q-84*b^2*p^2*x+2*b^2*p*q^2-158*b ^2*p*q*x+392*b^2*p*x^2-74*b^2*q^2*x+392*b^2*q*x^2+4*b*c^2*g*p-4*b*c^2*p*q-64*b* c^2*p*x-36*b*c^2*q*x+4*b*c*g^2*p+2*b*c*g*p^2+2*b*c*g*p*q-146*b*c*g*p*x-82*b*c*g *q*x-46*b*c*p^2*x-90*b*c*p*q*x+356*b*c*p*x^2-44*b*c*q^2*x+356*b*c*q*x^2+b*g^3*p +b*g^2*p^2+2*b*g^2*p*q-57*b*g^2*p*x-32*b*g^2*q*x+b*g*p^2*q-54*b*g*p^2*x+b*g*p*q ^2-103*b*g*p*q*x+298*b*g*p*x^2-49*b*g*q^2*x+298*b*g*q*x^2-7*b*p^3*x-27*b*p^2*q* x+178*b*p^2*x^2-33*b*p*q^2*x+356*b*p*q*x^2-13*b*q^3*x+178*b*q^2*x^2-4*c^3*p*q-4 *c^2*g*p*q-16*c^2*g*p*x-8*c^2*g*q*x-2*c^2*p^2*q-2*c^2*p*q^2+48*c^2*p*x^2+48*c^2 *q*x^2-c*g^2*p*q-16*c*g^2*p*x-8*c*g^2*q*x-c*g*p^2*q-12*c*g*p^2*x-c*g*p*q^2-24*c *g*p*q*x+126*c*g*p*x^2-12*c*g*q^2*x+126*c*g*q*x^2+48*c*p^2*x^2+96*c*p*q*x^2+48* c*q^2*x^2-4*g^3*p*x-2*g^3*q*x-6*g^2*p^2*x-12*g^2*p*q*x+51*g^2*p*x^2-6*g^2*q^2*x +51*g^2*q*x^2-2*g*p^3*x-8*g*p^2*q*x+63*g*p^2*x^2-10*g*p*q^2*x+126*g*p*q*x^2-4*g *q^3*x+63*g*q^2*x^2+12*p^3*x^2+36*p^2*q*x^2+36*p*q^2*x^2+12*q^3*x^2+8*a^3*p+84* a^2*b*p+8*a^2*b*q+16*a^2*c*p+12*a^2*g*p+4*a^2*p^2+30*a^2*p*q-382*a^2*p*x+4*a^2* q^2-170*a^2*q*x+148*a*b^2*p+20*a*b^2*q+108*a*b*c*p+12*a*b*c*q+86*a*b*g*p+10*a*b *g*q+26*a*b*p^2+86*a*b*p*q-996*a*b*p*x+16*a*b*q^2-572*a*b*q*x+8*a*c^2*p+16*a*c* g*p+4*a*c*p^2+14*a*c*p*q-382*a*c*p*x+4*a*c*q^2-194*a*c*q*x+6*a*g^2*p+4*a*g*p^2+ 21*a*g*p*q-319*a*g*p*x+4*a*g*q^2-161*a*g*q*x+7*a*p^2*q-149*a*p^2*x+10*a*p*q^2-\ 318*a*p*q*x+732*a*p*x^2+3*a*q^3-169*a*q^2*x+732*a*q*x^2+72*b^3*p+12*b^3*q+96*b^ 2*c*p+16*b^2*c*q+76*b^2*g*p+12*b^2*g*q+22*b^2*p^2+56*b^2*p*q-614*b^2*p*x+12*b^2 *q^2-402*b^2*q*x+24*b*c^2*p+4*b*c^2*q+56*b*c*g*p+8*b*c*g*q+10*b*c*p^2+24*b*c*p* q-518*b*c*p*x+8*b*c*q^2-330*b*c*q*x+22*b*g^2*p+3*b*g^2*q+13*b*g*p^2+34*b*g*p*q-\ 435*b*g*p*x+8*b*g*q^2-277*b*g*q*x+7*b*p^2*q-187*b*p^2*x+10*b*p*q^2-394*b*p*q*x+ 732*b*p*x^2+3*b*q^3-207*b*q^2*x+732*b*q*x^2+4*c^2*g*p-16*c^2*p*q-60*c^2*p*x-36* c^2*q*x+4*c*g^2*p+2*c*g*p^2-2*c*g*p*q-158*c*g*p*x+2*c*g*q^2-94*c*g*q*x-4*c*p^2* q-42*c*p^2*x-4*c*p*q^2-96*c*p*q*x+312*c*p*x^2-54*c*q^2*x+312*c*q*x^2+g^3*p+g^2* p^2+3*g^2*p*q-64*g^2*p*x+g^2*q^2-38*g^2*q*x+g*p^2*q-58*g*p^2*x+2*g*p*q^2-126*g* p*q*x+282*g*p*x^2+g*q^3-68*g*q^2*x+282*g*q*x^2-6*p^3*x-30*p^2*q*x+156*p^2*x^2-\ 42*p*q^2*x+312*p*q*x^2-18*q^3*x+156*q^2*x^2+60*a^2*p+8*a^2*q+278*a*b*p+66*a*b*q +76*a*c*p+12*a*c*q+62*a*g*p+10*a*g*q+18*a*p^2+81*a*p*q-762*a*p*x+27*a*q^2-474*a *q*x+230*b^2*p+70*b^2*q+174*b*c*p+50*b*c*q+147*b*g*p+41*b*g*q+36*b*p^2+119*b*p* q-990*b*p*x+47*b*q^2-702*b*q*x+16*c^2*p+4*c^2*q+40*c*g*p+8*c*g*q+6*c*p^2+10*c*p *q-372*c*p*x+12*c*q^2-252*c*q*x+16*g^2*p+3*g^2*q+9*g*p^2+31*g*p*q-336*g*p*x+14* g*q^2-228*g*q*x+4*p^2*q-132*p^2*x+10*p*q^2-312*p*q*x+504*p*x^2+6*q^3-180*q^2*x+ 504*q*x^2+154*a*p+46*a*q+304*b*p+124*b*q+94*c*p+34*c*q+83*g*p+29*g*q+18*p^2+76* p*q-576*p*x+42*q^2-432*q*x+138*p+66*q)/(p+q): Qrcpq:=numer(Qrcpqt): Pcnt:= -x^3*(x-1)^3*(8*a^4*b*x^2+16*a^4*c*x^2+4*a^4*g*x^2+8*a^4*q*x^2+24*a^3* b^2*x^2+88*a^3*b*c*x^2+28*a^3*b*g*x^2+20*a^3*b*p*x^2+36*a^3*b*q*x^2+88*a^3*c^2* x^2+56*a^3*c*g*x^2+36*a^3*c*p*x^2+68*a^3*c*q*x^2+8*a^3*g^2*x^2+8*a^3*g*p*x^2+24 *a^3*g*q*x^2+20*a^3*p*q*x^2+12*a^3*q^2*x^2+24*a^2*b^3*x^2+144*a^2*b^2*c*x^2+48* a^2*b^2*g*x^2+48*a^2*b^2*p*x^2+48*a^2*b^2*q*x^2+288*a^2*b*c^2*x^2+188*a^2*b*c*g *x^2+172*a^2*b*c*p*x^2+204*a^2*b*c*q*x^2+28*a^2*b*g^2*x^2+56*a^2*b*g*p*x^2+72*a ^2*b*g*q*x^2+18*a^2*b*p^2*x^2+72*a^2*b*p*q*x^2+30*a^2*b*q^2*x^2+192*a^2*c^3*x^2 +192*a^2*c^2*g*x^2+156*a^2*c^2*p*x^2+204*a^2*c^2*q*x^2+58*a^2*c*g^2*x^2+100*a^2 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3-2019*b*g^4-2061*b*g^3*p-2339*b*g^3*q+10642*b*g^3*x-354*b*g^2*p^2-1561*b*g^2*p *q+6288*b*g^2*p*x-584*b*g^2*q^2+5102*b*g^2*q*x+2472*b*g^2*x^2-56*b*g*p^2*q+228* b*g*p^2*x-138*b*g*p*q^2+1018*b*g*p*q*x+452*b*g*p*x^2-32*b*g*q^3+400*b*g*q^2*x+ 872*b*g*q*x^2-1968*b*g*x^3-3128*c^4*g-7324*c^3*g^2-2104*c^3*g*p-3744*c^3*g*q+ 15184*c^3*g*x-6274*c^2*g^3-3806*c^2*g^2*p-6402*c^2*g^2*q+27240*c^2*g^2*x-316*c^ 2*g*p^2-2050*c^2*g*p*q+8240*c^2*g*p*x-1148*c^2*g*q^2+8796*c^2*g*q*x-5800*c^2*g* x^2-2339*c*g^4-2231*c*g^3*p-3597*c*g^3*q+16044*c*g^3*x-390*c*g^2*p^2-2341*c*g^2 *p*q+9696*c*g^2*p*x-1232*c*g^2*q^2+9770*c*g^2*q*x-4804*c*g^2*x^2-208*c*g*p^2*q+ 852*c*g*p^2*x-402*c*g*p*q^2+2924*c*g*p*q*x-1964*c*g*p*x^2-76*c*g*q^3+956*c*g*q^ 2*x-1100*c*g*q*x^2-480*c*g*x^3-321*g^5-427*g^4*p-666*g^4*q+3110*g^4*x-116*g^3*p ^2-658*g^3*p*q+2788*g^3*p*x-329*g^3*q^2+2686*g^3*q*x-472*g^3*x^2-104*g^2*p^2*q+ 426*g^2*p^2*x-201*g^2*p*q^2+1462*g^2*p*q*x-520*g^2*p*x^2-38*g^2*q^3+478*g^2*q^2 *x-88*g^2*q*x^2-960*g^2*x^3-4832*a^3*c-2416*a^3*g-10208*a^2*b*c-5104*a^2*b*g-\ 9168*a^2*c^2-13072*a^2*c*g-2304*a^2*c*p-3120*a^2*c*q+10520*a^2*c*x-4244*a^2*g^2 -1152*a^2*g*p-1560*a^2*g*q+5260*a^2*g*x-5616*a*b^2*c-2808*a*b^2*g-11424*a*b*c^2 -18168*a*b*c*g-3264*a*b*c*p-3272*a*b*c*q+11584*a*b*c*x-6228*a*b*g^2-1632*a*b*g* p-1636*a*b*g*q+5792*a*b*g*x+1440*a*b*x^2-4336*a*c^3-13288*a*c^2*g-2160*a*c^2*p-\ 2920*a*c^2*q+9584*a*c^2*x-10700*a*c*g^2-3888*a*c*g*p-5260*a*c*g*q+17848*a*c*g*x -192*a*c*p^2-912*a*c*p*q+2904*a*c*p*x-352*a*c*q^2+2344*a*c*q*x-1824*a*c*x^2-\ 2570*a*g^3-1404*a*g^2*p-1900*a*g^2*q+6528*a*g^2*x-96*a*g*p^2-456*a*g*p*q+1452*a *g*p*x-176*a*g*q^2+1172*a*g*q*x-192*a*g*x^2-960*b^3*c-480*b^3*g-2720*b^2*c^2-\ 5152*b^2*c*g-744*b^2*c*p-848*b^2*c*q+3080*b^2*c*x-1896*b^2*g^2-372*b^2*g*p-424* b^2*g*q+1540*b^2*g*x-1536*b*c^3-8536*b*c^2*g-696*b*c^2*p-1200*b*c^2*q+4128*b*c^ 2*x-7860*b*c*g^2-2568*b*c*g*p-2868*b*c*g*q+10272*b*c*g*x-48*b*c*p^2-336*b*c*p*q +1032*b*c*p*x-184*b*c*q^2+1240*b*c*q*x-96*b*c*x^2-1988*b*g^3-1110*b*g^2*p-1134* b*g^2*q+4104*b*g^2*x-24*b*g*p^2-168*b*g*p*q+516*b*g*p*x-92*b*g*q^2+620*b*g*q*x+ 672*b*g*x^2-2936*c^3*g-5084*c^2*g^2-1428*c^2*g*p-2060*c^2*g*q+6856*c^2*g*x-2884 *c*g^3-1650*c*g^2*p-2254*c*g^2*q+7764*c*g^2*x-120*c*g*p^2-624*c*g*p*q+1968*c*g* p*x-268*c*g*q^2+1792*c*g*q*x-960*c*g*x^2-538*g^4-468*g^3*p-612*g^3*q+2168*g^3*x -60*g^2*p^2-312*g^2*p*q+984*g^2*p*x-134*g^2*q^2+896*g^2*q*x-120*g^2*x^2-2176*a^ 2*c-1088*a^2*g-2336*a*b*c-1168*a*b*g-2080*a*c^2-3632*a*c*g-576*a*c*p-608*a*c*q+ 1776*a*c*x-1296*a*g^2-288*a*g*p-304*a*g*q+888*a*g*x-496*b^2*c-248*b^2*g-624*b*c ^2-1872*b*c*g-144*b*c*p-224*b*c*q+624*b*c*x-780*b*g^2-72*b*g*p-112*b*g*q+312*b* g*x-1352*c^2*g-1500*c*g^2-360*c*g*p-416*c*g*q+1200*c*g*x-412*g^3-180*g^2*p-208* g^2*q+600*g^2*x-384*a*c-192*a*g-96*b*c-48*b*g-240*c*g-120*g^2): Pgn:=-Pgnt: # multiplied by -1 ## head part of Pcn and xzdx-decomposition of Pcn # Pcn=x^3(x-1)^3*P2(x)dx^4+ x^2(x-1)^2P3(x)dx^3+x(x-1)P4(x)dx^2 # +P5(x)dx+ P4(x): # P2= A2*x^2+(a+c+p+1)*A1*x # -(2*c+g)*(a+c+p+1)*(2*a+2*c+g+p+2)*(p+1+g+2*c+2*a)*(a+2*b+2*c+g+q+2): A2:=18*g^2*p^2+114*a^2*g+772*a*c^2+81*a*g^2+18*g^2*q^2+210*c^2*g^2+38*c*g^3+\ 14*g^3*p+14*g^3*q+22*c^2*g^3+2*c*g^4+g^4*p+g^4*q+2*g^3*p^2+2*g^3*q^2+128\ *a^3*c+38*a^3*g+456*a^2*c^2+45*a^2*g^2+18*a*g^3+128*b^3*c+38*b^3*g+8*b^3\ *g^2+456*b^2*c^2+45*b^2*g^2+648*b*c^3+18*b*g^3+448*c^3*g+24+66*b^2*c*p^2\ +14*a^2*g^2*p+272*a*c^3*q+50*p+154*a*b^2*g+28*a^3*b*g+300*b^2*c*g+66*a^2\ *c*q^2+69*b^2*g*q+9*b*g^3*p+76*a+450*a*c*p+528*b*c*p+654*b*c^2*g+662*b*c\ ^2*p+10*a*b*g^3+36*b^3*c*q+464*a^2*b*c+9*b*c*q^3+268*b*c^3*g+156*a^2*c^2\ *p+135*a*c*p^2+68*b^3*c*p+180*c^3*g*p+28*a^2*c*p^2+77*a*g^2*q+7*a*g^3*p+\ 197*a*c*q^2+9*c*g*q^3+150*a*g*p+21*b*c*g^3+234*b^2*c*q+441*c^2*g*p+122*b\ *c^2*g^2+b*g*q^3+400*a*b*c^3+189*b*g*p+260*a*b*g+21*a*c*q^3+7*b*g^3*q+12\ 4*b*c^2*p^2+240*a*c^3*p+522*b*c*g+441*c^2*g*q+56*a^3*c*g+23*c*g^2*q^2+7*\ b*g*p^3+240*b*c^3*q+528*a*c*q+180*c^3*g*q+464*a*b^2*c+86*b*c^2*q^2+56*b^\ 3*c*g+24*b^3*g*p+272*b*c^3*p+88*a^3*b*c+154*a^2*b*g+73*c^2*g*p^2+88*c^2*\ g^2*q+204*a^2*c^2*q+39*b*g*q^2+21*a*c*g^3+60*a*g^2*p+77*b*g^2*p+80*c^5+9\ *c*g*p^3+28*b^2*c*q^2+p*q^4+p^4*q+c*p^4+204*b*c*g*p*q+b*g^4+b*p^4+124*a*\ c^2*q^2+189*a*g*q+60*g^2*p*q+192*b^2*c^2*g+8*g^3*p*q+450*b*c*q+336*b^2*c\ *p+5*b^2*g*q^2+24*a^2*g^2*q+120*a^2*g*q+14*a*g^2*q^2+288*a*b^2*c^2+576*b\ *c^2*q+88*c^2*g^2*p+192*a^2*c^2*g+g^2*p^3+g^2*q^3+16*c*p*q^3+28*a^2*b*g^\ 2+58*a^2*c*g^2+24*b^2*g^2*p+7*a*g^2*p^2+144*a^2*b^2*c+288*a^2*b*c^2+17*c\ *g^3*q+98*a*b*g^2+648*a*c^3+7*a*g*q^3+58*b^2*c*g^2+122*a*c^2*g^2+5*a^2*g\ *p^2+60*b*g^2*q+88*a*b^3*c+7*b*g^2*q^2+768*a*b*c+12*g^2*p^2*q+268*a*c^3*\ g+8*b^3*g*q+160*c+76*b+50*q+56*g+24*b^2*g*p^2+117*c*g*p^2+44*a^3+88*a^2+\ 44*b^3+16*g^3+2*g^4+88*b^2+46*g^2+450*c^2*p*q+6*g*p*q^3+352*b^2*c+114*b^\ 2*g+772*b*c^2+81*b*g^2+544*c^2*g+172*c*g^2+58*g^2*p+58*g^2*q+400*a*c+136\ *a*g+400*b*c+136*b*g+288*c*g+352*a^2*c+192*b^2*c^3+5*b^2*g^3+200*b*c^4+1\ 36*c^4*g+84*c^3*g^2+16*a^4*c+4*a^4*g+88*a^3*c^2+8*a^3*g^2+192*a^2*c^3+20\ 0*a*c^4+a*g^4+88*b^3*c^2+5*a^2*g^3+14*b^2*g^2*q+14*b*g^2*p^2+9*a*g^3*q+1\ 20*b^2*g*p+86*a*c^2*p^2+135*b*c*q^2+4*b^4*g+16*b^4*c+188*a^2*b*c*g+172*a\ ^2*b*c*p+204*a^2*b*c*q+56*a^2*b*g*p+72*a^2*b*g*q+100*a^2*c*g*p+144*a^2*c\ *g*q+132*a^2*c*p*q+48*a^2*g*p*q+188*a*b^2*c*g+204*a*b^2*c*p+172*a*b^2*c*\ q+72*a*b^2*g*p+56*a*b^2*g*q+392*a*b*c^2*g+392*a*b*c^2*p+392*a*b*c^2*q+11\ 6*a*b*c*g^2+106*a*b*c*p^2+106*a*b*c*q^2+42*a*b*g^2*p+42*a*b*g^2*q+35*a*b\ *g*p^2+35*a*b*g*q^2+36*a^3*c*p+68*a^3*c*q+8*a^3*g*p+24*a^3*g*q+48*a^2*b^\ 2*g+24*a^2*g*q^2+28*a*b^3*g+28*a*b^2*g^2+204*b^2*c^2*p+156*b^2*c^2*q+73*\ c^2*g*q^2+17*c*g^3*p+23*c*g^2*p^2+12*g^2*p*q^2+300*a^2*c*g+234*a^2*c*p+3\ 36*a^2*c*q+69*a^2*g*p+968*a*b*c^2+654*a*c^2*g+576*a*c^2*p+662*a*c^2*q+20\ 1*a*c*g^2+39*a*g*p^2+70*a*g*q^2+201*b*c*g^2+197*b*c*p^2+70*b*g*p^2+144*c\ *g^2*p+268*a*b*c*g*p+268*a*b*c*g*q+288*a*b*c*p*q+108*a*b*g*p*q+248*a*c^2\ *g*p+284*a*c^2*g*q+276*a*c^2*p*q+78*a*c*g^2*p+92*a*c*g^2*q+54*a*c*g*p^2+\ 87*a*c*g*q^2+81*a*c*p^2*q+93*a*c*p*q^2+36*a*g^2*p*q+30*a*g*p^2*q+36*a*g*\ p*q^2+144*b^2*c*g*p+100*b^2*c*g*q+132*b^2*c*p*q+48*b^2*g*p*q+284*b*c^2*g\ *p+248*b*c^2*g*q+276*b*c^2*p*q+92*b*c*g^2*p+78*b*c*g^2*q+87*b*c*g*p^2+54\ *b*c*g*q^2+93*b*c*p^2*q+81*b*c*p*q^2+36*b*g^2*p*q+36*b*g*p^2*q+30*b*g*p*\ q^2+204*c^2*g*p*q+72*c*g^2*p*q+66*c*g*p^2*q+66*c*g*p*q^2+644*a*b*c*g+626\ *a*b*c*p+626*a*b*c*q+217*a*b*g*p+217*a*b*g*q+390*a*c*g*p+204*a*c*g*p*q+4\ 67*a*c*g*q+450*a*c*p*q+168*a*g*p*q+467*b*c*g*p+390*b*c*g*q+450*b*c*p*q+1\ 68*b*g*p*q+336*c*g*p*q+144*c*g^2*q+117*c*g*q^2+522*a*c*g+150*b*g*q+354*c\ *g*p+354*c*g*q+35*q^2+10*q^3+7*q^3*g+136*g*p*q+54*g*p^2*q+54*g*p*q^2+q^4\ +418*q*c^3+171*p^2*c^2+136*p^2*c+15*c^2*q^3+502*p*c^2+502*q*c^2+262*p*c+\ 418*p*c^3+136*q^2*c+8*a^4+262*q*c+70*p^2*c^3+128*q*c^4+128*p*c^4+171*q^2\ *c^2+8*b^4+25*q^3*c+108*b^2*p*q+75*b*p^2*q+66*b*p*q^2+93*g*p+p^4+70*q^2*\ c^3+c*q^4+35*p^2+234*a*b*p*q+328*c^4+132*a^2*b*p+168*a^2*b*q+6*g*p^3*q+8\ 4*b^2*q+138*a*q+93*g*q+141*q*p^2*c+94*p*q+141*q^2*p*c+528*c^3+46*g*p^2+8\ *b^4*p+6*a^2*q^3+138*b*p+114*a*p+56*p*q^2+56*p^2*q+12*g*p^2*q^2+200*a*b+\ 184*a*b^2+68*a^3*b+120*a^2*b^2+68*a*b^3+184*a^2*b+72*a^2*b*p*q+72*a*b^2*\ p*q+45*a*b*p^2*q+45*a*b*p*q^2+20*a^3*b*p+36*a^3*b*q+48*a^2*b^2*p+48*a^2*\ b^2*q+13*p*q^3+18*a^2*b*p^2+30*a^2*b*q^2+36*a*b^3*p+20*a*b^3*q+30*a*b^2*\ p^2+18*a*b^2*q^2+7*a*b*p^3+7*a*b*q^3+9*a*c*p^3+a*g*p^3+8*a*b^4+168*a*b^2\ *p+132*a*b^2*q+81*a*b*p^2+81*a*b*q^2+246*a*b*p+246*a*b*q+84*a^2*p+16*b*p\ ^3+51*a*p^2+136*b^2*p+77*b*p^2+416*c^2+24*a^2*b^3+8*a^4*b+24*a^3*b^2+77*\ a*q^2+51*b*q^2+46*g*q^2+87*q^2*p*c^2+87*q*p^2*c^2+20*a^3*p*q+184*q*p*c^3\ +13*p^3*q+24*p^2*q^2+7*b*q^3+30*q^2*p^2*c+16*a*q^3+24*a^2*p*q^2+18*a^2*p\ ^2*q+56*b^3*p+20*b^3*q+54*b^2*p^2+18*b^2*q^2+10*p^3+20*a^3*p+56*a^3*q+18\ *a^2*p^2+54*a^2*q^2+7*a*p^3+136*a^2*q+360*q*p*c+3*p^3*q^2+3*p^2*q^3+16*c\ *p^3*q+20*b^3*p*q+12*b^3*p^2+9*a*p*q^3+15*a*p^2*q^2+7*a*p^3*q+6*b^2*p^3+\ 12*a^3*q^2+8*a^4*q+114*b*q+18*b^2*p*q^2+24*b^2*p^2*q+9*b*p^3*q+7*b*p*q^3\ +15*b*p^2*q^2+21*b*c*p^3+180*a*p*q+180*b*p*q+108*a^2*p*q+15*c^2*p^3+a*q^\ 4+7*g*p^3+25*c*p^3+66*a*p^2*q+75*a*p*q^2: A1:=-2*g^2*p^2-48*a^2*g-348*a*c^2-54*a*g^2-10*g^2*q^2-84*c^2*g^2-22*c*g^3-4*\ g^3*p-8*g^3*q-24*a^3*c-8*a^3*g-104*a^2*c^2-16*a^2*g^2-10*a*g^3-48*b^3*c-\ 20*b^3*g-120*b^2*c^2-20*b^2*g^2-160*b*c^3-10*b*g^3-136*c^3*g-24-26*p-48*\ a*b^2*g-100*b^2*c*g-40*b^2*g*q-52*a-120*a*c*p-174*b*c*p-200*b*c^2*g-120*\ b*c^2*p-96*a^2*b*c-10*a*c*p^2-28*a*g^2*q-54*a*c*q^2-42*a*g*p-92*b^2*c*q-\ 88*c^2*g*p-69*b*g*p-138*a*b*g-314*b*c*g-136*c^2*g*q-240*a*c*q-120*a*b^2*\ c-36*a^2*b*g-25*b*g*q^2-12*a*g^2*p-18*b*g^2*p-102*a*g*q-14*g^2*p*q-274*b\ *c*q-60*b^2*c*p-28*a^2*g*q-160*b*c^2*q-36*a*b*g^2-160*a*c^3-30*b*g^2*q-3\ 48*a*b*c-136*c-76*b-50*q-56*g-13*c*g*p^2-8*a^3-36*a^2-44*b^3-16*g^3-2*g^\ 4-88*b^2-46*g^2-80*c^2*p*q-208*b^2*c-86*b^2*g-380*b*c^2-62*b*g^2-312*c^2\ *g-126*c*g^2-24*g^2*p-46*g^2*q-240*a*c-94*a*g-296*b*c-122*b*g-232*c*g-13\ 2*a^2*c-24*b^2*g*p-56*b*c*q^2-84*a^2*c*g-28*a^2*c*p-68*a^2*c*q-8*a^2*g*p\ -240*a*b*c^2-200*a*c^2*g-88*a*c^2*p-160*a*c^2*q-80*a*c*g^2-2*a*g*p^2-24*\ a*g*q^2-80*b*c*g^2-24*b*c*p^2-9*b*g*p^2-34*c*g^2*p-192*a*b*c*g-96*a*b*c*\ p-168*a*b*c*q-36*a*b*g*p-72*a*b*g*q-68*a*c*g*p-136*a*c*g*q-68*a*c*p*q-28\ *a*g*p*q-96*b*c*g*p-140*b*c*g*q-84*b*c*p*q-36*b*g*p*q-68*c*g*p*q-58*c*g^\ 2*q-45*c*g*q^2-282*a*c*g-119*b*g*q-129*c*g*p-217*c*g*q-35*q^2-10*q^3-5*q\ ^3*g-51*g*p*q-7*g*p^2*q-12*g*p*q^2-q^4-104*q*c^3-18*p^2*c^2-27*p^2*c-162\ *p*c^2-250*q*c^2-116*p*c-72*p*c^3-85*q^2*c-196*q*c-50*q^2*c^2-8*b^4-11*q\ ^3*c-24*b^2*p*q-9*b*p^2*q-15*b*p*q^2-45*g*p-9*p^2-36*a*b*p*q-80*c^4-12*a\ ^2*b*p-36*a^2*b*q-84*b^2*q-88*a*q-85*g*q-17*q*p^2*c-44*p*q-27*q^2*p*c-24\ 8*c^3-9*g*p^2-62*b*p-36*a*p-21*p*q^2-12*p^2*q-124*a*b-96*a*b^2-8*a^3*b-2\ 4*a^2*b^2-24*a*b^3-60*a^2*b-3*p*q^3-24*a*b^2*p-48*a*b^2*q-6*a*b*p^2-30*a\ *b*q^2-60*a*b*p-132*a*b*q-12*a^2*p-b*p^3-6*a*p^2-48*b^2*p-15*b*p^2-280*c\ ^2-42*a*q^2-51*b*q^2-38*g*q^2-p^3*q-3*p^2*q^2-7*b*q^3-6*a*q^3-12*b^3*p-2\ 0*b^3*q-6*b^2*p^2-18*b^2*q^2-p^3-8*a^3*q-12*a^2*q^2-48*a^2*q-120*q*p*c-1\ 14*b*q-48*a*p*q-66*b*p*q-12*a^2*p*q-c*p^3-6*a*p^2*q-12*a*p*q^2: # the following is xzdx-decomposition of Pcn: # [Pnnnn,Pnnn,Pnn,Pn,P0,P1,P2] Pcnxzdx:=- [-(8*a^4*b+16*a^4*c+4*a^4*g+8*a^4*q+24*a^3*b^2+88*a^3*b*c+28*a^3*b *g+20*a^3*b*p+36*a^3*b*q+88*a^3*c^2+56*a^3*c*g+36*a^3*c*p+68*a^3*c*q+8*a^3*g^2+ 8*a^3*g*p+24*a^3*g*q+20*a^3*p*q+12*a^3*q^2+24*a^2*b^3+144*a^2*b^2*c+48*a^2*b^2* g+48*a^2*b^2*p+48*a^2*b^2*q+288*a^2*b*c^2+188*a^2*b*c*g+172*a^2*b*c*p+204*a^2*b *c*q+28*a^2*b*g^2+56*a^2*b*g*p+72*a^2*b*g*q+18*a^2*b*p^2+72*a^2*b*p*q+30*a^2*b* q^2+192*a^2*c^3+192*a^2*c^2*g+156*a^2*c^2*p+204*a^2*c^2*q+58*a^2*c*g^2+100*a^2* c*g*p+144*a^2*c*g*q+28*a^2*c*p^2+132*a^2*c*p*q+66*a^2*c*q^2+5*a^2*g^3+14*a^2*g^ 2*p+24*a^2*g^2*q+5*a^2*g*p^2+48*a^2*g*p*q+24*a^2*g*q^2+18*a^2*p^2*q+24*a^2*p*q^ 2+6*a^2*q^3+8*a*b^4+88*a*b^3*c+28*a*b^3*g+36*a*b^3*p+20*a*b^3*q+288*a*b^2*c^2+ 188*a*b^2*c*g+204*a*b^2*c*p+172*a*b^2*c*q+28*a*b^2*g^2+72*a*b^2*g*p+56*a*b^2*g* q+30*a*b^2*p^2+72*a*b^2*p*q+18*a*b^2*q^2+400*a*b*c^3+392*a*b*c^2*g+392*a*b*c^2* p+392*a*b*c^2*q+116*a*b*c*g^2+268*a*b*c*g*p+268*a*b*c*g*q+106*a*b*c*p^2+288*a*b *c*p*q+106*a*b*c*q^2+10*a*b*g^3+42*a*b*g^2*p+42*a*b*g^2*q+35*a*b*g*p^2+108*a*b* g*p*q+35*a*b*g*q^2+7*a*b*p^3+45*a*b*p^2*q+45*a*b*p*q^2+7*a*b*q^3+200*a*c^4+268* a*c^3*g+240*a*c^3*p+272*a*c^3*q+122*a*c^2*g^2+248*a*c^2*g*p+284*a*c^2*g*q+86*a* c^2*p^2+276*a*c^2*p*q+124*a*c^2*q^2+21*a*c*g^3+78*a*c*g^2*p+92*a*c*g^2*q+54*a*c *g*p^2+204*a*c*g*p*q+87*a*c*g*q^2+9*a*c*p^3+81*a*c*p^2*q+93*a*c*p*q^2+21*a*c*q^ 3+a*g^4+7*a*g^3*p+9*a*g^3*q+7*a*g^2*p^2+36*a*g^2*p*q+14*a*g^2*q^2+a*g*p^3+30*a* g*p^2*q+36*a*g*p*q^2+7*a*g*q^3+7*a*p^3*q+15*a*p^2*q^2+9*a*p*q^3+a*q^4+16*b^4*c+ 4*b^4*g+8*b^4*p+88*b^3*c^2+56*b^3*c*g+68*b^3*c*p+36*b^3*c*q+8*b^3*g^2+24*b^3*g* p+8*b^3*g*q+12*b^3*p^2+20*b^3*p*q+192*b^2*c^3+192*b^2*c^2*g+204*b^2*c^2*p+156*b ^2*c^2*q+58*b^2*c*g^2+144*b^2*c*g*p+100*b^2*c*g*q+66*b^2*c*p^2+132*b^2*c*p*q+28 *b^2*c*q^2+5*b^2*g^3+24*b^2*g^2*p+14*b^2*g^2*q+24*b^2*g*p^2+48*b^2*g*p*q+5*b^2* g*q^2+6*b^2*p^3+24*b^2*p^2*q+18*b^2*p*q^2+200*b*c^4+268*b*c^3*g+272*b*c^3*p+240 *b*c^3*q+122*b*c^2*g^2+284*b*c^2*g*p+248*b*c^2*g*q+124*b*c^2*p^2+276*b*c^2*p*q+ 86*b*c^2*q^2+21*b*c*g^3+92*b*c*g^2*p+78*b*c*g^2*q+87*b*c*g*p^2+204*b*c*g*p*q+54 *b*c*g*q^2+21*b*c*p^3+93*b*c*p^2*q+81*b*c*p*q^2+9*b*c*q^3+b*g^4+9*b*g^3*p+7*b*g ^3*q+14*b*g^2*p^2+36*b*g^2*p*q+7*b*g^2*q^2+7*b*g*p^3+36*b*g*p^2*q+30*b*g*p*q^2+ b*g*q^3+b*p^4+9*b*p^3*q+15*b*p^2*q^2+7*b*p*q^3+80*c^5+136*c^4*g+128*c^4*p+128*c ^4*q+84*c^3*g^2+180*c^3*g*p+180*c^3*g*q+70*c^3*p^2+184*c^3*p*q+70*c^3*q^2+22*c^ 2*g^3+88*c^2*g^2*p+88*c^2*g^2*q+73*c^2*g*p^2+204*c^2*g*p*q+73*c^2*g*q^2+15*c^2* p^3+87*c^2*p^2*q+87*c^2*p*q^2+15*c^2*q^3+2*c*g^4+17*c*g^3*p+17*c*g^3*q+23*c*g^2 *p^2+72*c*g^2*p*q+23*c*g^2*q^2+9*c*g*p^3+66*c*g*p^2*q+66*c*g*p*q^2+9*c*g*q^3+c* p^4+16*c*p^3*q+30*c*p^2*q^2+16*c*p*q^3+c*q^4+g^4*p+g^4*q+2*g^3*p^2+8*g^3*p*q+2* g^3*q^2+g^2*p^3+12*g^2*p^2*q+12*g^2*p*q^2+g^2*q^3+6*g*p^3*q+12*g*p^2*q^2+6*g*p* q^3+p^4*q+3*p^3*q^2+3*p^2*q^3+p*q^4+8*a^4+68*a^3*b+128*a^3*c+38*a^3*g+20*a^3*p+ 56*a^3*q+120*a^2*b^2+464*a^2*b*c+154*a^2*b*g+132*a^2*b*p+168*a^2*b*q+456*a^2*c^ 2+300*a^2*c*g+234*a^2*c*p+336*a^2*c*q+45*a^2*g^2+69*a^2*g*p+120*a^2*g*q+18*a^2* p^2+108*a^2*p*q+54*a^2*q^2+68*a*b^3+464*a*b^2*c+154*a*b^2*g+168*a*b^2*p+132*a*b ^2*q+968*a*b*c^2+644*a*b*c*g+626*a*b*c*p+626*a*b*c*q+98*a*b*g^2+217*a*b*g*p+217 *a*b*g*q+81*a*b*p^2+234*a*b*p*q+81*a*b*q^2+648*a*c^3+654*a*c^2*g+576*a*c^2*p+ 662*a*c^2*q+201*a*c*g^2+390*a*c*g*p+467*a*c*g*q+135*a*c*p^2+450*a*c*p*q+197*a*c *q^2+18*a*g^3+60*a*g^2*p+77*a*g^2*q+39*a*g*p^2+168*a*g*p*q+70*a*g*q^2+7*a*p^3+ 66*a*p^2*q+75*a*p*q^2+16*a*q^3+8*b^4+128*b^3*c+38*b^3*g+56*b^3*p+20*b^3*q+456*b ^2*c^2+300*b^2*c*g+336*b^2*c*p+234*b^2*c*q+45*b^2*g^2+120*b^2*g*p+69*b^2*g*q+54 *b^2*p^2+108*b^2*p*q+18*b^2*q^2+648*b*c^3+654*b*c^2*g+662*b*c^2*p+576*b*c^2*q+ 201*b*c*g^2+467*b*c*g*p+390*b*c*g*q+197*b*c*p^2+450*b*c*p*q+135*b*c*q^2+18*b*g^ 3+77*b*g^2*p+60*b*g^2*q+70*b*g*p^2+168*b*g*p*q+39*b*g*q^2+16*b*p^3+75*b*p^2*q+ 66*b*p*q^2+7*b*q^3+328*c^4+448*c^3*g+418*c^3*p+418*c^3*q+210*c^2*g^2+441*c^2*g* p+441*c^2*g*q+171*c^2*p^2+450*c^2*p*q+171*c^2*q^2+38*c*g^3+144*c*g^2*p+144*c*g^ 2*q+117*c*g*p^2+336*c*g*p*q+117*c*g*q^2+25*c*p^3+141*c*p^2*q+141*c*p*q^2+25*c*q ^3+2*g^4+14*g^3*p+14*g^3*q+18*g^2*p^2+60*g^2*p*q+18*g^2*q^2+7*g*p^3+54*g*p^2*q+ 54*g*p*q^2+7*g*q^3+p^4+13*p^3*q+24*p^2*q^2+13*p*q^3+q^4+44*a^3+184*a^2*b+352*a^ 2*c+114*a^2*g+84*a^2*p+136*a^2*q+184*a*b^2+768*a*b*c+260*a*b*g+246*a*b*p+246*a* b*q+772*a*c^2+522*a*c*g+450*a*c*p+528*a*c*q+81*a*g^2+150*a*g*p+189*a*g*q+51*a*p ^2+180*a*p*q+77*a*q^2+44*b^3+352*b^2*c+114*b^2*g+136*b^2*p+84*b^2*q+772*b*c^2+ 522*b*c*g+528*b*c*p+450*b*c*q+81*b*g^2+189*b*g*p+150*b*g*q+77*b*p^2+180*b*p*q+ 51*b*q^2+528*c^3+544*c^2*g+502*c^2*p+502*c^2*q+172*c*g^2+354*c*g*p+354*c*g*q+ 136*c*p^2+360*c*p*q+136*c*q^2+16*g^3+58*g^2*p+58*g^2*q+46*g*p^2+136*g*p*q+46*g* q^2+10*p^3+56*p^2*q+56*p*q^2+10*q^3+88*a^2+200*a*b+400*a*c+136*a*g+114*a*p+138* a*q+88*b^2+400*b*c+136*b*g+138*b*p+114*b*q+416*c^2+288*c*g+262*c*p+262*c*q+46*g ^2+93*g*p+93*g*q+35*p^2+94*p*q+35*q^2+76*a+76*b+160*c+56*g+50*p+50*q+24)*(a+b+z +2)*(2*a+2*b+g+z+3)*(z+5+q+p+g+2*c+2*b+2*a)*(z+4+2*a+2*b+2*c+p+q+g), (z+4+2*a+2 *b+2*c+p+q+g)*(64*a^7*b+160*a^7*c+48*a^7*g+64*a^7*q+384*a^6*b^2+1312*a^6*b*c+ 464*a^6*b*g+192*a^6*b*p+512*a^6*b*q+160*a^6*b*z+992*a^6*c^2+784*a^6*c*g+432*a^6 *c*p+704*a^6*c*q+384*a^6*c*z+144*a^6*g^2+120*a^6*g*p+288*a^6*g*q+112*a^6*g*z+ 192*a^6*p*q+128*a^6*q^2+160*a^6*q*z+960*a^5*b^3+4256*a^5*b^2*c+1616*a^5*b^2*g+ 1024*a^5*b^2*p+1600*a^5*b^2*q+816*a^5*b^2*z+6048*a^5*b*c^2+4848*a^5*b*c*g+3248* a^5*b*c*p+4240*a^5*b*c*q+2816*a^5*b*c*z+912*a^5*b*g^2+1144*a^5*b*g*p+1768*a^5*b *g*q+984*a^5*b*g*z+224*a^5*b*p^2+1344*a^5*b*p*q+448*a^5*b*p*z+736*a^5*b*q^2+ 1128*a^5*b*q*z+128*a^5*b*z^2+2496*a^5*c^3+3248*a^5*c^2*g+2208*a^5*c^2*p+2576*a^ 5*c^2*q+2336*a^5*c^2*z+1320*a^5*c*g^2+1784*a^5*c*g*p+2248*a^5*c*g*q+1776*a^5*c* g*z+440*a^5*c*p^2+1696*a^5*c*p*q+968*a^5*c*p*z+880*a^5*c*q^2+1696*a^5*c*q*z+296 *a^5*c*z^2+168*a^5*g^3+324*a^5*g^2*p+464*a^5*g^2*q+312*a^5*g^2*z+108*a^5*g*p^2+ 720*a^5*g*p*q+260*a^5*g*p*z+392*a^5*g*q^2+676*a^5*g*q*z+84*a^5*g*z^2+224*a^5*p^ 2*q+320*a^5*p*q^2+448*a^5*p*q*z+96*a^5*q^3+312*a^5*q^2*z+128*a^5*q*z^2+1280*a^4 *b^4+7200*a^4*b^3*c+2800*a^4*b^3*g+2240*a^4*b^3*p+2560*a^4*b^3*q+1664*a^4*b^3*z +14880*a^4*b^2*c^2+11952*a^4*b^2*c*g+9312*a^4*b^2*c*p+10192*a^4*b^2*c*q+7744*a^ 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^2*z^2+248*q*z^3+24*z^4+5456*a^2*c+2728*a^2*g-628*a^2*z+10224*a*b*c+5112*a*b*g-\ 1940*a*b*z+12448*a*c^2+12776*a*c*g+3528*a*c*p+4280*a*c*q+2180*a*c*z+3276*a*g^2+ 1764*a*g*p+2140*a*g*q+1228*a*g*z-398*a*p*z-1210*a*q*z+148*a*z^2+3328*b^2*c+1664 *b^2*g-1384*b^2*z+11184*b*c^2+11416*b*c*g+3792*b*c*p+2720*b*c*q-468*b*c*z+2912* b*g^2+1896*b*g*p+1360*b*g*q-96*b*g*z-632*b*p*z-1660*b*q*z+220*b*z^2+7056*c^3+ 10976*c^2*g+4088*c^2*p+4552*c^2*q+2536*c^2*z+5660*c*g^2+4228*c*g*p+4692*c*g*q+ 2920*c*g*z+504*c*p^2+1560*c*p*q+898*c*p*z+528*c*q^2-910*c*q*z+952*c*z^2+968*g^3 +1092*g^2*p+1208*g^2*q+844*g^2*z+252*g*p^2+780*g*p*q+488*g*p*z+264*g*q^2-404*g* q*z+488*g*z^2-54*p^2*z-394*p*q*z+26*p*z^2-484*q^2*z+122*q*z^2+96*z^3+2880*a*c+ 1440*a*g-480*a*z+2208*b*c+1104*b*g-696*b*z+3200*c^2+3280*c*g+1008*c*p+912*c*q+ 72*c*z+840*g^2+504*g*p+456*g*q+72*g*z-156*p*z-420*q*z+24*z^2+576*c+288*g-144*z) , (2*c+g)*(a+c+p+1)*(2*a+2*c+g+p+2)*(p+1+g+2*c+2*a)*(a+2*b+2*c+g+q+2)*(2*b+q+z+ 2)*(z+3+q+g+c+2*b+a)*(z+4+q+g+2*c+2*b+2*a), 0]: ##remak on Pcnxzdx[1]=A1*A3: # A3:=(a+b+z+2)*(2*a+2*b+g+z+3)*(z+5+q+p+g+2*c+2*b+2*a)*(z+4+q+p+g+2*c+2*b+2*a): ## head part of Pgn and xzdx-decomposition of Pgn # Pgn:=x^3(x-1)^3P2(x)dx^4+x^2(x-1)^2P3(x)dx^3+x(x-1)P4(x)dx # +P5(x)dx+P4(x): # P2(x)=B2*x^2+(2*a+2*b+g+1)*B1*x+B0: B0:=-(2*c+g)*(8*b*g*q+4*c*g*q+6*a+6*a*g*q+4*b*c*q+18*a*b*g+4*a*c*q+12*a^2*b+\ 12*a*b^2+18*a*b+12*a*c*g+16*a*b*c+2*b+4*g+4*a^3+10*a^2+4*b^3+6*b^2+2*g^3\ +6*g^2+15*b*g+8*c*g+4*c^2*g+6*c*g^2+3*g^2*q+6*b*c+14*a*g+10*a*c+8*a^2*c+\ 8*a^2*g+4*a*c^2+6*a*g^2+8*b^2*c+12*b^2*g+4*b*c^2+9*b*g^2+16*b*c*g+8*a*b*\ q+3*b*q+a*q^2+b*q^2+g*q^2+4*b^2*q+5*a*q+4*g*q+4*a^2*q)*(2*a+2*c+g+p+2)*(\ p+1+g+2*c+2*a): B1:=-72*b^3*g-192*b^2*c^2-150*b^2*g^2-120*b*c^3-99*b*g^3-56*c^3*g^2-26*c*g^4\ -6*g^4*p-8*g^4*q-3*g^3*p^2-5*g^3*q^2-60*c^2*g^3+40*a^3*c-16*a^3*g+80*a^2\ *c^2-54*a^2*g^2+40*a*c^3-57*a*g^3-9*b*g*p^2-288*b^2*c^2*g-c*g*p^3-46*b*g\ *q-32*b*g*p-54*a*g^2*q-6*a^2*g*q^2-8*a^3*g*q-18*c*g*q+12*a^2*c*q-18*b*c*\ q^2-360*b*c*g^2+8*a^3*c*p-24*b*c^3*p-24*b^3*g*q-252*a*b*g^2-24*a^2*g^2*q\ -360*b^2*c*g-8*a^2*g*p^2-16*b*g^2*q^2-30*a^2*g*q-10*a*g*p^2-7*b*g^2*p^2-\ 17*a*g^3*p-48*b^2*g^2*p-128*b^3*c*g-64*a^3*b*c-a*g*q^3-g^2*p^2*q+16*a^3*\ c*g-88*a*c^2*g^2-8*g^3*p*q-48*b^2*c^2*p-9*a*g*q^2-56*c^2*g^2*q-52*b^2*g^\ 2*q-88*a*b*g^3-384*b*c^2*g-24*b^3*c*q-2*c^2*g*p^2-336*a*b^2*c-12*b^2*c*q\ ^2-56*b*c^3*q-64*a^3*b*g-7*c*g^2*p^2-25*a*g^3*q+8*a*c^3*p-20*b*c^2*q^2-2\ 4*a*g*q-36*b^2*c*p+8*a*c^3*q-108*a^2*b*g^2-75*c*g^2*q-60*b*c*g*p*q-25*b*\ g^4-40*b*c*q-93*b*g^2*q-2*b*c*q^3-208*a*b*g-4*a^2*c*p^2-128*a*b^3*c-8*c^\ 3*g*p-c*g*q^3-2*c*g*p-4*a*c^2*p^2-43*a*g^2*p-10*c^2*g*p+16*a^2*c*p-24*b^\ 3*c*p-2*b*g*q^3-12*b*c*p-192*b*c^3*g+4*a*c*q-18*b*g*q^2-128*a*b*c^3-15*c\ *g^2*q^2-28*a^2*g*p-26*c*g^3*p-32*a^2*c*g-96*a*b^3*g-256*b*c^2*g^2+8*a*c\ *p-32*c^2*g^2*p-37*b*g^3*q-42*c^2*g*q-48*a^2*b^3-48*a^3*b^2-16*a^4*b-104\ *a^2*b-72*a*b^3-144*a^2*b^2-72*a^3*b-104*a*b^2-2*a*c*p^2-48*a*b-12*g^2*p\ *q-3*g^2*p*q^2-276*a*b^2*g-11*a*g^2*q^2-29*b*g^3*p-16*a*c^3*g-18*a^2*g^3\ -60*a*c*g-8*a^3*g*p-208*a*b*c-4*g^5-20*g^4-32*g^3-16*g^2-b*g*p^3-16*c^4*\ g+16*a^4*c+48*a^3*c^2-8*a^3*g^2+48*a^2*c^3+16*a*c^4-80*b^3*c^2-48*b^3*g^\ 2-112*b^2*c^3-15*a*g^4-54*b^2*g^3-48*b*c^4-36*b*g-8*c*g-72*b^3*c-32*c^2*\ g-80*c*g^2-22*g^2*q-24*b*c-20*a*g+8*a*c-14*g^2*p-40*c^3*g-120*c^2*g^2-90\ *c*g^3-19*g^3*p-27*g^3*q-5*g^2*p^2-9*g^2*q^2+32*a^2*c-36*a^2*g+32*a*c^2-\ 64*a*g^2-80*b^2*c-92*b^2*g-96*b*c^2-116*b*g^2-228*b*c*g-16*b^4*c-22*a*g*\ p-10*a*g^2*p^2-68*a*c*g^3-12*b^2*g*q^2-16*b^4*g-256*a^2*b*c*g-64*a^2*b*c\ *p-96*a^2*b*c*q-68*a^2*b*g*p-84*a^2*b*g*q-20*a^2*c*g*p-28*a^2*c*g*q+8*a^\ 2*c*p*q-8*a^2*g*p*q-416*a*b^2*c*g-96*a*b^2*c*p-128*a*b^2*c*q-84*a*b^2*g*\ p-100*a*b^2*g*q-384*a*b*c^2*g-64*a*b*c^2*p-128*a*b*c^2*q+8*a^3*c*q-192*a\ ^2*b^2*c-144*a^2*b^2*g-128*a^2*b*c^2+16*a^2*c^2*g+16*a^2*c^2*p+16*a^2*c^\ 2*q-40*a^2*c*g^2-20*a^2*g^2*p-256*a*b^2*c^2-156*a*b^2*g^2-24*b^3*g*p-80*\ b^2*c^2*q-224*b^2*c*g^2-6*b^2*g*p^2-136*b*c*g^3-24*c^3*g*q-10*c^2*g*q^2-\ 38*c*g^3*q-240*a^2*b*c-228*a^2*b*g-288*a*b*c^2-336*a*b*c*g^2-16*a*b*c*p^\ 2-32*a*b*c*q^2-68*a*b*g^2*p-100*a*b*g^2*q-20*a*b*g*p^2-28*a*b*g*q^2-20*a\ *c^2*g*p-44*a*c^2*g*q+8*a*c^2*p*q-46*a*c*g^2*p-74*a*c*g^2*q-16*a*c*g*p^2\ -16*a*c*g*q^2+2*a*c*p^2*q-14*a*g^2*p*q-2*a*g*p^2*q-3*a*g*p*q^2-108*b^2*c\ *g*p-132*b^2*c*g*q-24*b^2*c*p*q-24*b^2*g*p*q-92*b*c^2*g*p-164*b*c^2*g*q-\ 24*b*c^2*p*q-98*b*c*g^2*p-142*b*c*g^2*q-8*b*c*g*p^2-36*b*c*g*q^2-6*b*c*p\ *q^2-30*b*g^2*p*q-3*b*g*p^2*q-6*b*g*p*q^2-8*c^2*g*p*q-20*c*g^2*p*q-144*a\ *b*c*g*p-240*a*b*c*g*q-48*a*b*c*p*q-48*a*b*g*p*q-12*a*c*g*p*q+c*g*p^2*q-\ 3*c*g*p*q^2-576*a*b*c*g-120*a*b*c*p-168*a*b*c*q-132*a*b*g*p-156*a*b*g*q-\ 42*a*c*g*p-66*a*c*g*q+6*a*c*p*q-15*a*g*p*q-114*b*c*g*p-198*b*c*g*q-18*b*\ c*p*q-27*b*g*p*q-6*c*g*p*q-56*a*c^2*g+16*a*c^2*p+12*a*c^2*q-152*a*c*g^2-\ 72*b^2*c*q-54*b^2*g*p-72*b^2*g*q-36*b*c^2*p-96*b*c^2*q-66*b*g^2*p-43*c*g\ ^2*p-c*g*p^2-9*c*g*q^2-g^2*q^3-2*a*c*p^3-6*a*b*p^2*q-24*a*b^2*p*q-6*a*b*\ p*q^2-36*a*b*p*q-12*a*b^2*q^2-24*a^2*b*p*q-2*a*g*p^3-24*a^3*b*p-72*a^2*b\ *p-72*a^2*b*q-72*a*b^2*p-72*a*b^2*q-18*a*b*p^2-18*a*b*q^2-52*a*b*p-52*a*\ b*q-2*a*b*q^3-16*a*b^4-g^2*p^3-2*a*b*p^3-24*a^3*b*q-48*a^2*b^2*p-48*a^2*\ b^2*q-12*a^2*b*p^2-12*a^2*b*q^2-24*a*b^3*p-24*a*b^3*q-12*a*b^2*p^2: B2:=(2*a+2*b+g+1)*(44*b^3*g+56*b^2*c^2+102*b^2*g^2+40*b*c^3+78*b*g^3+56*c^3*g^2+26*c*g^4+7*\ g^4*p+7*g^4*q+4*g^3*p^2+4*g^3*q^2+60*c^2*g^3+16*a^3*c+44*a^3*g+56*a^2*c^\ 2+102*a^2*g^2+40*a*c^3+78*a*g^3+9*b*g*p^2+136*b^2*c^2*g+c*g*p^3+34*b*g*q\ +28*b*g*p+60*a*g^2*q+6*a^2*g*q^2+16*a^3*g*q+10*c*g*q+12*a^2*c*q+10*b*c*q\ ^2+256*b*c*g^2+8*a^3*c*p+8*b*c^3*p+16*b^3*g*q+252*a*b*g^2+36*a^2*g^2*q+1\ 96*b^2*c*g+10*a^2*g*p^2+13*b*g^2*q^2+42*a^2*g*q+14*a*g*p^2+9*b*g^2*p^2+2\ 7*a*g^3*p+36*b^2*g^2*p+56*b^3*c*g+96*a^3*b*c+a*g*q^3+2*g^2*p^2*q+56*a^3*\ c*g+172*a*c^2*g^2+8*g^3*p*q+16*b^2*c^2*p+9*a*g*q^2+44*c^2*g^2*q+36*b^2*g\ ^2*q+88*a*b*g^3+220*b*c^2*g+8*b^3*c*q+6*c^2*g*p^2+288*a*b^2*c+8*b^2*c*q^\ 2+24*b*c^3*q+80*a^3*b*g+11*c*g^2*p^2+27*a*g^3*q+24*a*c^3*p+12*b*c^2*q^2+\ 28*a*g*q+12*b^2*c*p+8*a*c^3*q+132*a^2*b*g^2+59*c*g^2*q+36*b*c*g*p*q+20*b\ *g^4+16*b*c*q+68*b*g^2*q+2*b*c*q^3+208*a*b*g+8*a^2*c*p^2+96*a*b^3*c+16*c\ ^3*g*p+c*g*q^3+10*c*g*p+12*a*c^2*p^2+68*a*g^2*p+26*c^2*g*p+28*a^2*c*p+8*\ b^3*c*p+2*b*g*q^3+4*b*c*p+104*b*c^3*g+4*a*c*q+14*b*g*q^2+128*a*b*c^3+11*\ c*g^2*q^2+50*a^2*g*p+32*c*g^3*p+196*a^2*c*g+80*a*b^3*g+172*b*c^2*g^2+16*\ a*c*p+44*c^2*g^2*p+27*b*g^3*q+26*c^2*g*q+48*a^2*b^3+48*a^3*b^2+16*a^4*b+\ 104*a^2*b+72*a*b^3+144*a^2*b^2+72*a^3*b+104*a*b^2+10*a*c*p^2+48*a*b+12*g\ ^2*p*q+2*g^2*p*q^2+252*a*b^2*g+9*a*g^2*q^2+27*b*g^3*p+104*a*c^3*g+36*a^2\ *g^3+144*a*c*g+16*a^3*g*p+208*a*b*c+4*g^5+20*g^4+32*g^3+16*g^2+b*g*p^3+1\ 6*c^4*g+8*a^4*g+16*a^3*c^2+28*a^3*g^2+32*a^2*c^3+16*a*c^4+16*b^3*c^2+28*\ b^3*g^2+32*b^2*c^3+20*a*g^4+36*b^2*g^3+16*b*c^4+28*b*g+8*c*g+16*b^3*c+32\ *c^2*g+80*c*g^2+18*g^2*q+8*b*c+28*a*g+8*a*c+18*g^2*p+40*c^3*g+120*c^2*g^\ 2+90*c*g^3+23*g^3*p+23*g^3*q+7*g^2*p^2+7*g^2*q^2+24*a^2*c+64*a^2*g+32*a*\ c^2+90*a*g^2+24*b^2*c+64*b^2*g+32*b*c^2+90*b*g^2+144*b*c*g+34*a*g*p+13*a\ *g^2*p^2+102*a*c*g^3+10*b^2*g*q^2+8*b^4*g+336*a^2*b*c*g+96*a^2*b*c*p+96*\ a^2*b*c*q+84*a^2*b*g*p+84*a^2*b*g*q+76*a^2*c*g*p+68*a^2*c*g*q+8*a^2*c*p*\ q+16*a^2*g*p*q+336*a*b^2*c*g+96*a*b^2*c*p+96*a*b^2*c*q+84*a*b^2*g*p+84*a\ *b^2*g*q+384*a*b*c^2*g+96*a*b*c^2*p+96*a*b*c^2*q+8*a^3*c*q+192*a^2*b^2*c\ +144*a^2*b^2*g+192*a^2*b*c^2+136*a^2*c^2*g+32*a^2*c^2*p+16*a^2*c^2*q+132\ *a^2*c*g^2+36*a^2*g^2*p+192*a*b^2*c^2+132*a*b^2*g^2+16*b^3*g*p+32*b^2*c^\ 2*q+132*b^2*c*g^2+6*b^2*g*p^2+102*b*c*g^3+16*c^3*g*q+6*c^2*g*q^2+32*c*g^\ 3*q+288*a^2*b*c+252*a^2*b*g+288*a*b*c^2+336*a*b*c*g^2+24*a*b*c*p^2+24*a*\ b*c*q^2+84*a*b*g^2*p+84*a*b*g^2*q+24*a*b*g*p^2+24*a*b*g*q^2+92*a*c^2*g*p\ +68*a*c^2*g*q+8*a*c^2*p*q+94*a*c*g^2*p+86*a*c*g^2*q+26*a*c*g*p^2+12*a*c*\ g*q^2+2*a*c*p^2*q+22*a*g^2*p*q+4*a*g*p^2*q+3*a*g*p*q^2+68*b^2*c*g*p+76*b\ ^2*c*g*q+8*b^2*c*p*q+16*b^2*g*p*q+68*b*c^2*g*p+92*b*c^2*g*q+8*b*c^2*p*q+\ 86*b*c*g^2*p+94*b*c*g^2*q+12*b*c*g*p^2+26*b*c*g*q^2+2*b*c*p*q^2+22*b*g^2\ *p*q+3*b*g*p^2*q+4*b*g*p*q^2+8*c^2*g*p*q+20*c*g^2*p*q+192*a*b*c*g*p+192*\ a*b*c*g*q+48*a*b*c*p*q+48*a*b*g*p*q+36*a*c*g*p*q+c*g*p^2*q+c*g*p*q^2+576\ *a*b*c*g+144*a*b*c*p+144*a*b*c*q+144*a*b*g*p+144*a*b*g*q+120*a*c*g*p+90*\ a*c*g*q+6*a*c*p*q+21*a*g*p*q+90*b*c*g*p+120*b*c*g*q+6*b*c*p*q+21*b*g*p*q\ +6*c*g*p*q+220*a*c^2*g+40*a*c^2*p+12*a*c^2*q+256*a*c*g^2+28*b^2*c*q+42*b\ ^2*g*p+50*b^2*g*q+12*b*c^2*p+40*b*c^2*q+60*b*g^2*p+59*c*g^2*p+5*c*g*p^2+\ 5*c*g*q^2+g^2*q^3+2*a*c*p^3+6*a*b*p^2*q+24*a*b^2*p*q+6*a*b*p*q^2+36*a*b*\ p*q+12*a*b^2*q^2+24*a^2*b*p*q+2*a*g*p^3+24*a^3*b*p+72*a^2*b*p+72*a^2*b*q\ +72*a*b^2*p+72*a*b^2*q+18*a*b*p^2+18*a*b*q^2+52*a*b*p+52*a*b*q+2*a*b*q^3\ +16*a*b^4+g^2*p^3+2*a*b*p^3+24*a^3*b*q+48*a^2*b^2*p+48*a^2*b^2*q+12*a^2*\ b*p^2+12*a^2*b*q^2+24*a*b^3*p+24*a*b^3*q+12*a*b^2*p^2): ## the following is xzdx-decomposition of Pgn Pgnxzdx:= - [-(g+1+2*a+2*b)*(16*a^4*b+8*a^4*g+48*a^3*b^2+96*a^3*b*c+80*a^3*b*g +24*a^3*b*p+24*a^3*b*q+16*a^3*c^2+56*a^3*c*g+8*a^3*c*p+8*a^3*c*q+28*a^3*g^2+16* a^3*g*p+16*a^3*g*q+48*a^2*b^3+192*a^2*b^2*c+144*a^2*b^2*g+48*a^2*b^2*p+48*a^2*b ^2*q+192*a^2*b*c^2+336*a^2*b*c*g+96*a^2*b*c*p+96*a^2*b*c*q+132*a^2*b*g^2+84*a^2 *b*g*p+84*a^2*b*g*q+12*a^2*b*p^2+24*a^2*b*p*q+12*a^2*b*q^2+32*a^2*c^3+136*a^2*c ^2*g+32*a^2*c^2*p+16*a^2*c^2*q+132*a^2*c*g^2+76*a^2*c*g*p+68*a^2*c*g*q+8*a^2*c* p^2+8*a^2*c*p*q+36*a^2*g^3+36*a^2*g^2*p+36*a^2*g^2*q+10*a^2*g*p^2+16*a^2*g*p*q+ 6*a^2*g*q^2+16*a*b^4+96*a*b^3*c+80*a*b^3*g+24*a*b^3*p+24*a*b^3*q+192*a*b^2*c^2+ 336*a*b^2*c*g+96*a*b^2*c*p+96*a*b^2*c*q+132*a*b^2*g^2+84*a*b^2*g*p+84*a*b^2*g*q +12*a*b^2*p^2+24*a*b^2*p*q+12*a*b^2*q^2+128*a*b*c^3+384*a*b*c^2*g+96*a*b*c^2*p+ 96*a*b*c^2*q+336*a*b*c*g^2+192*a*b*c*g*p+192*a*b*c*g*q+24*a*b*c*p^2+48*a*b*c*p* q+24*a*b*c*q^2+88*a*b*g^3+84*a*b*g^2*p+84*a*b*g^2*q+24*a*b*g*p^2+48*a*b*g*p*q+ 24*a*b*g*q^2+2*a*b*p^3+6*a*b*p^2*q+6*a*b*p*q^2+2*a*b*q^3+16*a*c^4+104*a*c^3*g+ 24*a*c^3*p+8*a*c^3*q+172*a*c^2*g^2+92*a*c^2*g*p+68*a*c^2*g*q+12*a*c^2*p^2+8*a*c ^2*p*q+102*a*c*g^3+94*a*c*g^2*p+86*a*c*g^2*q+26*a*c*g*p^2+36*a*c*g*p*q+12*a*c*g *q^2+2*a*c*p^3+2*a*c*p^2*q+20*a*g^4+27*a*g^3*p+27*a*g^3*q+13*a*g^2*p^2+22*a*g^2 *p*q+9*a*g^2*q^2+2*a*g*p^3+4*a*g*p^2*q+3*a*g*p*q^2+a*g*q^3+8*b^4*g+16*b^3*c^2+ 56*b^3*c*g+8*b^3*c*p+8*b^3*c*q+28*b^3*g^2+16*b^3*g*p+16*b^3*g*q+32*b^2*c^3+136* b^2*c^2*g+16*b^2*c^2*p+32*b^2*c^2*q+132*b^2*c*g^2+68*b^2*c*g*p+76*b^2*c*g*q+8*b ^2*c*p*q+8*b^2*c*q^2+36*b^2*g^3+36*b^2*g^2*p+36*b^2*g^2*q+6*b^2*g*p^2+16*b^2*g* p*q+10*b^2*g*q^2+16*b*c^4+104*b*c^3*g+8*b*c^3*p+24*b*c^3*q+172*b*c^2*g^2+68*b*c ^2*g*p+92*b*c^2*g*q+8*b*c^2*p*q+12*b*c^2*q^2+102*b*c*g^3+86*b*c*g^2*p+94*b*c*g^ 2*q+12*b*c*g*p^2+36*b*c*g*p*q+26*b*c*g*q^2+2*b*c*p*q^2+2*b*c*q^3+20*b*g^4+27*b* g^3*p+27*b*g^3*q+9*b*g^2*p^2+22*b*g^2*p*q+13*b*g^2*q^2+b*g*p^3+3*b*g*p^2*q+4*b* g*p*q^2+2*b*g*q^3+16*c^4*g+56*c^3*g^2+16*c^3*g*p+16*c^3*g*q+60*c^2*g^3+44*c^2*g ^2*p+44*c^2*g^2*q+6*c^2*g*p^2+8*c^2*g*p*q+6*c^2*g*q^2+26*c*g^4+32*c*g^3*p+32*c* g^3*q+11*c*g^2*p^2+20*c*g^2*p*q+11*c*g^2*q^2+c*g*p^3+c*g*p^2*q+c*g*p*q^2+c*g*q^ 3+4*g^5+7*g^4*p+7*g^4*q+4*g^3*p^2+8*g^3*p*q+4*g^3*q^2+g^2*p^3+2*g^2*p^2*q+2*g^2 *p*q^2+g^2*q^3+72*a^3*b+16*a^3*c+44*a^3*g+144*a^2*b^2+288*a^2*b*c+252*a^2*b*g+ 72*a^2*b*p+72*a^2*b*q+56*a^2*c^2+196*a^2*c*g+28*a^2*c*p+12*a^2*c*q+102*a^2*g^2+ 50*a^2*g*p+42*a^2*g*q+72*a*b^3+288*a*b^2*c+252*a*b^2*g+72*a*b^2*p+72*a*b^2*q+ 288*a*b*c^2+576*a*b*c*g+144*a*b*c*p+144*a*b*c*q+252*a*b*g^2+144*a*b*g*p+144*a*b *g*q+18*a*b*p^2+36*a*b*p*q+18*a*b*q^2+40*a*c^3+220*a*c^2*g+40*a*c^2*p+12*a*c^2* q+256*a*c*g^2+120*a*c*g*p+90*a*c*g*q+10*a*c*p^2+6*a*c*p*q+78*a*g^3+68*a*g^2*p+ 60*a*g^2*q+14*a*g*p^2+21*a*g*p*q+9*a*g*q^2+16*b^3*c+44*b^3*g+56*b^2*c^2+196*b^2 *c*g+12*b^2*c*p+28*b^2*c*q+102*b^2*g^2+42*b^2*g*p+50*b^2*g*q+40*b*c^3+220*b*c^2 *g+12*b*c^2*p+40*b*c^2*q+256*b*c*g^2+90*b*c*g*p+120*b*c*g*q+6*b*c*p*q+10*b*c*q^ 2+78*b*g^3+60*b*g^2*p+68*b*g^2*q+9*b*g*p^2+21*b*g*p*q+14*b*g*q^2+40*c^3*g+120*c ^2*g^2+26*c^2*g*p+26*c^2*g*q+90*c*g^3+59*c*g^2*p+59*c*g^2*q+5*c*g*p^2+6*c*g*p*q +5*c*g*q^2+20*g^4+23*g^3*p+23*g^3*q+7*g^2*p^2+12*g^2*p*q+7*g^2*q^2+104*a^2*b+24 *a^2*c+64*a^2*g+104*a*b^2+208*a*b*c+208*a*b*g+52*a*b*p+52*a*b*q+32*a*c^2+144*a* c*g+16*a*c*p+4*a*c*q+90*a*g^2+34*a*g*p+28*a*g*q+24*b^2*c+64*b^2*g+32*b*c^2+144* b*c*g+4*b*c*p+16*b*c*q+90*b*g^2+28*b*g*p+34*b*g*q+32*c^2*g+80*c*g^2+10*c*g*p+10 *c*g*q+32*g^3+18*g^2*p+18*g^2*q+48*a*b+8*a*c+28*a*g+8*b*c+28*b*g+8*c*g+16*g^2)* (a+b+z+2)*(2*a+2*b+g+z+3)*(z+q+5+p+g+2*c+2*b+2*a)*(z+2*a+2*b+2*c+p+q+g+4), (g+1 +2*a+2*b)*(z+2*a+2*b+2*c+p+q+g+4)*(128*a^7*b-64*a^7*c+32*a^7*g+768*a^6*b^2+448* a^6*b*c+736*a^6*b*g+256*a^6*b*p+256*a^6*b*q+320*a^6*b*z-256*a^6*c^2+32*a^6*c*g-\ 32*a^6*c*p-64*a^6*c*q-128*a^6*c*z+144*a^6*g^2+112*a^6*g*p+96*a^6*g*q+96*a^6*g*z +1920*a^5*b^3+3520*a^5*b^2*c+3424*a^5*b^2*g+1280*a^5*b^2*p+1280*a^5*b^2*q+1632* a^5*b^2*z+768*a^5*b*c^2+3168*a^5*b*c*g+928*a^5*b*c*p+1056*a^5*b*c*q+1472*a^5*b* c*z+1776*a^5*b*g^2+1360*a^5*b*g*p+1424*a^5*b*g*q+1840*a^5*b*g*z+192*a^5*b*p^2+ 384*a^5*b*p*q+576*a^5*b*p*z+192*a^5*b*q^2+624*a^5*b*q*z+256*a^5*b*z^2-384*a^5*c ^3-32*a^5*c^2*g-96*a^5*c^2*p-160*a^5*c^2*q-384*a^5*c^2*z+592*a^5*c*g^2+400*a^5* c*g*p+368*a^5*c*g*q+384*a^5*c*g*z+48*a^5*c*p^2-32*a^5*c*p*q-16*a^5*c*p*z-64*a^5 *c*q*z-80*a^5*c*z^2+272*a^5*g^3+352*a^5*g^2*p+352*a^5*g^2*q+432*a^5*g^2*z+120*a ^5*g*p^2+176*a^5*g*p*q+280*a^5*g*p*z+96*a^5*g*q^2+280*a^5*g*q*z+88*a^5*g*z^2+ 2560*a^4*b^4+8384*a^4*b^3*c+7072*a^4*b^3*g+2560*a^4*b^3*p+2560*a^4*b^3*q+3328*a ^4*b^3*z+6912*a^4*b^2*c^2+14432*a^4*b^2*c*g+4416*a^4*b^2*c*p+5216*a^4*b^2*c*q+ 7840*a^4*b^2*c*z+6448*a^4*b^2*g^2+4640*a^4*b^2*g*p+5040*a^4*b^2*g*q+6912*a^4*b^ 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*c^2*q+8736*b*c^2*z+37872*b*c*g^2+13152*b*c*g*p+14624*b*c*g*q+22024*b*c*g*z+336 *b*c*p^2+1712*b*c*p*q+2000*b*c*p*z+960*b*c*q^2+3096*b*c*q*z+864*b*c*z^2+9556*b* g^3+5652*b*g^2*p+5844*b*g^2*q+9428*b*g^2*z+168*b*g*p^2+856*b*g*p*q+1156*b*g*p*z +480*b*g*q^2+1824*b*g*q*z+408*b*g*z^2+14448*c^3*g+24688*c^2*g^2+7784*c^2*g*p+ 10424*c^2*g*q+13800*c^2*g*z+13860*c*g^3+8820*c*g^2*p+11348*c*g^2*q+15816*c*g^2* z+840*c*g*p^2+3272*c*g*p*q+3812*c*g*p*z+1488*c*g*q^2+4364*c*g*q*z+1640*c*g*z^2+ 2564*g^4+2464*g^3*p+3068*g^3*q+4548*g^3*z+420*g^2*p^2+1636*g^2*p*q+1984*g^2*p*z +744*g^2*q^2+2320*g^2*q*z+808*g^2*z^2+9472*a^2*c+4736*a^2*g+10304*a*b*c+5152*a* b*g+288*a*b*z+9088*a*c^2+15776*a*c*g+2688*a*c*p+2816*a*c*q+3296*a*c*z+5616*a*g^ 2+1344*a*g*p+1408*a*g*q+1792*a*g*z+2176*b^2*c+1088*b^2*g+2688*b*c^2+8160*b*c*g+ 672*b*c*p+992*b*c*q+1280*b*c*z+3408*b*g^2+336*b*g*p+496*b*g*q+784*b*g*z+5888*c^ 2*g+6480*c*g^2+1680*c*g*p+1904*c*g*q+2288*c*g*z+1768*g^3+840*g^2*p+952*g^2*q+ 1216*g^2*z+1536*a*c+768*a*g+384*b*c+192*b*g+960*c*g+480*g^2, -(2*c+g)*(2*a+2*c+ g+p+2)*(p+1+g+2*c+2*a)*(4*a^3+12*a^2*b+8*a^2*c+8*a^2*g+4*a^2*q+12*a*b^2+16*a*b* c+18*a*b*g+8*a*b*q+4*a*c^2+12*a*c*g+4*a*c*q+6*a*g^2+6*a*g*q+a*q^2+4*b^3+8*b^2*c +12*b^2*g+4*b^2*q+4*b*c^2+16*b*c*g+4*b*c*q+9*b*g^2+8*b*g*q+b*q^2+4*c^2*g+6*c*g^ 2+4*c*g*q+2*g^3+3*g^2*q+g*q^2+10*a^2+18*a*b+10*a*c+14*a*g+5*a*q+6*b^2+6*b*c+15* b*g+3*b*q+8*c*g+6*g^2+4*g*q+6*a+2*b+4*g)*(2*b+q+z+2)*(z+3+q+g+c+2*b+a)*(z+4+q+g +2*c+2*b+2*a), 0]: ## remark on Pgnxzdx[1]=B3*B2: B3:=(a+b+z+2)*(2*a+2*b+g+z+3)*(z+q+5+p+g+2*c+2*b+2*a)*(z+2*a+2*b+2*c+p+q+g+4): # Pgnxzdx[6]:= # (2*c+g)*(2*a+2*c+g+p+2)*(p+1+g+2*c+2*a)*(8*b*g*q+4*c*g*q+6*a+6*a*g*q+4*b\ *c*q+18*a*b*g+4*a*c*q+12*a^2*b+12*a*b^2+18*a*b+12*a*c*g+16*a*b*c+2*b+4*g\ +4*a^3+10*a^2+4*b^3+6*b^2+2*g^3+6*g^2+15*b*g+8*c*g+4*c^2*g+6*c*g^2+3*g^2\ *q+6*b*c+14*a*g+10*a*c+8*a^2*c+8*a^2*g+4*a*c^2+6*a*g^2+8*b^2*c+12*b^2*g+\ 4*b*c^2+9*b*g^2+16*b*c*g+8*a*b*q+3*b*q+a*q^2+b*q^2+g*q^2+4*b^2*q+5*a*q+4\ *g*q+4*a^2*q)*(2*b+q+z+2)*(z+3+q+g+c+2*b+a)*(z+4+q+g+2*c+2*b+2*a):