## Z6PQ2.txt 20221224 continuation of Z6PQ1.txt ## Svalues and shift oprators for the shifts # of (A0,A1) to (A0+1,A1+1), to (A0+1,A2+1), (A0+1,A3+1) # of (A2, A3) to (A2+1,A3+1) ## H*** denotes of coeff(PQoperatos,dx,5) ### Svalues Z6Sv0p1p:=-1/4*(u-1)^2*(u-2)^2*(-g4+A2+A1)*(g4+1-A2+A1)*(A0+1+A2-g1)*(A0+A2 -g1)*(g1+1-A2+A0)*(-A3+1-A2+A1+A0)*(A3+1+A2+A1+A0)*(-A3+1+A2+A1+A0)*(A3+1-A2+A1 +A0): Z6Sv0p2p:=-2*(u-1)^2*(u-2)^2*(2*A2+1)*(-u+2-g4-g1+2*A2)*(2*A2+1-g1-g4-u)*( A2+1-A3-g1-g4-u)*(A3+A2+1-g1-g4-u)*(A2-g4+A1)*(-A2+g4+A1)*(-g1+1+A2+A0)*(-g1+A2 +A0)*(-A3+1+A2-A1+A0)*(-A3+1+A2+A1+A0)*(A3+1+A2-A1+A0)*(A3+1+A2+A1+A0): Z6Sv0p2n:=-(u-1)^2*(u-2)^2*(2*A2-1)*(-u-g4-g1+2*A2)*(2*A2-1-g1-g4-u)*(A2-A3 -g1-g4-u)*(A3+A2-g1-g4-u)*(-g4-1+A2+A1)*(g4+1-A2+A1)*(g1+2-A2+A0)*(g1+1-A2+A0)* (-A3+1-A2-A1+A0)*(-A3+1-A2+A1+A0)*(A3+1-A2-A1+A0)*(A3+1-A2+A1+A0): Z6Sv0p3p:=1/4*(u-1)^2*(u-2)^2*(A3+A2+1-g1-g4-u)*(A2-A3-g1-g4-u)*(g1+1-A2+A0 )*(A0+A2-g1)*(A3+1+A2-A1+A0)*(A3+1+A2+A1+A0)*(A3+1-A2-A1+A0)*(A3+1-A2+A1+A0): Z6Sv2p3p:=4*(u-1)^2*(u-2)^2*(2*A2+1)*(-u+2-g4-g1+2*A2)*(2*A2+1-g1-g4-u)*(-u +2-g4-g1+A3+A2)*(A3+A2+1-g1-g4-u)*(A2-g4+A1)*(-A2+g4+A1)*(A2-g1+A0)*(-A2+g1+A0) *(A3+A2+1-A1+A0)*(-A3-A2-1-A1+A0)*(A3+A2+1+A1+A0)*(-A3-A2-1+A1+A0): Z6Sv2p3n:=-4*(u-1)^2*(u-2)^2*(2*A2+1)*(-u+2-g4-g1+2*A2)*(2*A2+1-g1-g4-u)*(- u+2-g4-g1-A3+A2)*(A2+1-A3-g1-g4-u)*(A2-g4+A1)*(-A2+g4+A1)*(A2-g1+A0)*(-A2+g1+A0 )*(A3-1-A2+A1+A0)*(A3-1-A2-A1+A0)*(-A3+1+A2+A1+A0)*(-A3+1+A2-A1+A0): #### head parts and PQ-operators # A0pA1p,A0nA1n; # A0A2 PQS for A0pA2p,A0nA2n; A0pA2n,A0nA2p; # A0A3 PQS for A0pA3p,A0nA3n; # A2A3 PQS for A2pA3p,A2nA3n; A2pA3n,A2nA3p; ## H0p1p:=-x^3*(x-1)^3*(A0*x+A1*x+2*A2*x-g1*x-g4*x-A0-A2+g1); Z6P0p1p:=-x^3*(x-1)^3*(A0*x+A1*x+2*A2*x-g1*x-g4*x-A0-A2+g1)*dx^5-x^2*(x-1)^ 2*(4*A0*A2*x^2-3*A0*g1*x^2-3*A0*g4*x^2-5*A0*u*x^2+4*A1*A2*x^2-3*A1*g1*x^2-3*A1* g4*x^2-5*A1*u*x^2+8*A2^2*x^2-10*A2*g1*x^2-10*A2*g4*x^2-10*A2*u*x^2+3*g1^2*x^2+6 *g1*g4*x^2+5*g1*u*x^2+3*g4^2*x^2+5*g4*u*x^2-6*A0*A2*x+6*A0*g1*x+3*A0*g4*x+8*A0* 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42*A2^2*g4*u^2+8*A2*A3^2*u^2-38*A2*g1^3*u-95*A2*g1^2*u^2-69*A2*g1*u^3-23*A2*g4* u^3-7*A3^2*g1^2*u-8*A3^2*g1*u^2+18*g1^3*g4*u+120*g1^2*g4^2*x+41*g1^2*g4*u^2+23* g1*g4*u^3+114*g4^2*u^2*x+72*g4*u^3*x-3*A0^2*A1*g1-2*A0^2*A1*u-7*A0^2*A2*g4+9*A0 ^2*g1*g4-5*A0*A1^2*A2+6*A0*A1^2*g1+11*A0*A1^2*u+3/2*A0*A1*u^2+31*A0*A2^2*g4+17* A0*A2*A3^2-12*A0*A3^2*g1-22*A0*A3^2*u+36*A0*g1^2*g4+152*A0*g4^2*x+187/2*A0*g4*u ^2+17*A1^2*A2*g1+13*A1^2*A2*u-11*A1^2*g1*u-36*A1^2*g4*x-26*A1^2*u*x+11*A1*A2^2* g1-12*A1*A2*g1^2-29/2*A1*A2*u^2-44*A1*A3^2*x+15*A1*g1^2*u+33/2*A1*g1*u^2-111*A2 ^2*g1*g4-146*A2^2*g4*u-31*A2*A3^2*g1-24*A2*A3^2*u+120*A2*g1^2*g4+512*A2*g4^2*x+ 231/2*A2*g4*u^2+22*A3^2*g1*u+44*A3^2*g4*x-143*g1^2*g4*u-432*g1*g4^2*x-223/2*g1* g4*u^2-356*g4^2*u*x-6*A0*A1*A2+2*A0*A1*g1+13/2*A0*A1*u+100*A0*A2*g4-104*A0*g1* g4-323/2*A0*g4*u+100*A1*A2*g1+189/2*A1*A2*u-197/2*A1*g1*u-408*A1*g4*x-350*A2*g1 *g4-551/2*A2*g4*u+507/2*g1*g4*u+A0*u^5*x^2+A1*u^5*x^2-4*A2^4*u^2*x^2+10*A2^3*u^ 3*x^2-8*A2^2*u^4*x^2+2*A2*u^5*x^2-g1^4*u^2*x^2-3*g1^3*u^3*x^2-3*g1^2*u^4*x^2-g1 *u^5*x^2-g4^4*u^2*x^2-3*g4^3*u^3*x^2-3*g4^2*u^4*x^2-g4*u^5*x^2-2*A0*u^5*x+4*A2^ 4*u^2*x-10*A2^3*u^3*x+8*A2^2*u^4*x-2*A2*u^5*x+2*g1^4*u^2*x+6*g1^3*u^3*x+6*g1^2* u^4*x+2*g1*u^5*x+9*g4^4*u*x^2+A0^2*A1^2*u^2+A0^2*A1*u^3+A0^2*A2*u^3-A0^2*g4^2*u ^2-A0^2*g4*u^3+A0*A1^2*u^3+A0*A1*u^4-5/2*A0*A2^3*u^2+4*A0*A2^2*u^3-3*A0*A2*u^4- A0*A3^2*u^3+A0*g1^3*u^2+3*A0*g1^2*u^3+3*A0*g1*u^4+A0*g4^2*u^3+2*A0*g4*u^4+2*A1^ 3*u^2*x+A1^2*A2*u^3-A1^2*g1^2*u^2-A1^2*g1*u^3-A1*A2^2*u^3+A1*A2*u^4-A1*g1^3*u^2 -2*A1*g1^2*u^3-A1*g1*u^4+20*A1*g4^3*x^2+6*A1*u^4*x+9/2*A2^3*g1*u^2+5/2*A2^3*g4* u^2+3/2*A2^2*A3^2*u^2-6*A2^2*g1^2*u^2-9*A2^2*g1*u^3-A2^2*g4^2*u^2-4*A2^2*g4*u^3 -A2*A3^2*u^3+4*A2*g1^3*u^2+9*A2*g1^2*u^3+6*A2*g1*u^4+A2*g4^2*u^3+2*A2*g4*u^4+A3 ^2*g1^2*u^2+A3^2*g1*u^3-2*g1^3*g4*u^2-g1^2*g4^2*u^2-4*g1^2*g4*u^3-g1*g4^2*u^3-2 *g1*g4*u^4-6*g4^3*u^2*x-12*g4^2*u^3*x-6*g4*u^4*x-3/2*A0^3*A1*u-3*A0^2*A1^2*u-A0 ^2*A2*u^2+3*A0^2*g4^2*u-3/2*A0*A1^3*u-16*A0*g4^3*x-11*A0*g4^2*u^2-3/2*A1^3*A2*u +3/2*A1^3*g1*u-8*A1^3*g4*x: ## H0n1n:=-(A0+A2-g1)*x^3*(x-1)^3*(A0*x+A1*x-2*A2*x+g1*x+g4*x-A0+A2-g1): Z6P0n1n:=-(A0+A2-g1)*x^3*(x-1)^3*(A0*x+A1*x-2*A2*x+g1*x+g4*x-A0+A2-g1)*dx^5 -(A0+A2-g1)*x^2*(x-1)^2*(4*A0*A2*x^2-3*A0*g1*x^2-3*A0*g4*x^2-5*A0*u*x^2+4*A1*A2 *x^2-3*A1*g1*x^2-3*A1*g4*x^2-5*A1*u*x^2-8*A2^2*x^2+10*A2*g1*x^2+10*A2*g4*x^2+10 *A2*u*x^2-3*g1^2*x^2-6*g1*g4*x^2-5*g1*u*x^2-3*g4^2*x^2-5*g4*u*x^2-6*A0*A2*x+6* A0*g1*x+3*A0*g4*x+8*A0*u*x+16*A0*x^2-2*A1*A2*x+3*A1*g1*x+2*A1*u*x+16*A1*x^2+8* A2^2*x-15*A2*g1*x-5*A2*g4*x-10*A2*u*x-32*A2*x^2+6*g1^2*x+6*g1*g4*x+8*g1*u*x+16* g1*x^2+2*g4*u*x+16*g4*x^2+2*A0*A2-3*A0*g1-3*A0*u-25*A0*x-7*A1*x-2*A2^2+5*A2*g1+ 3*A2*u+32*A2*x-3*g1^2-3*g1*u-25*g1*x-7*g4*x+9*A0-9*A2+9*g1)*dx^4-(A0+A2-g1)*x*( x-1)*(5*A0*A2^2*x^3-8*A0*A2*g1*x^3-8*A0*A2*g4*x^3-16*A0*A2*u*x^3-A0*A3^2*x^3+3* A0*g1^2*x^3+6*A0*g1*g4*x^3+12*A0*g1*u*x^3+3*A0*g4^2*x^3+12*A0*g4*u*x^3+10*A0*u^ 2*x^3+5*A1*A2^2*x^3-8*A1*A2*g1*x^3-8*A1*A2*g4*x^3-16*A1*A2*u*x^3-A1*A3^2*x^3+3* A1*g1^2*x^3+6*A1*g1*g4*x^3+12*A1*g1*u*x^3+3*A1*g4^2*x^3+12*A1*g4*u*x^3+10*A1*u^ 2*x^3-10*A2^3*x^3+21*A2^2*g1*x^3+21*A2^2*g4*x^3+32*A2^2*u*x^3+2*A2*A3^2*x^3-14* A2*g1^2*x^3-28*A2*g1*g4*x^3-40*A2*g1*u*x^3-14*A2*g4^2*x^3-40*A2*g4*u*x^3-20*A2* u^2*x^3-A3^2*g1*x^3-A3^2*g4*x^3+3*g1^3*x^3+9*g1^2*g4*x^3+12*g1^2*u*x^3+9*g1*g4^ 2*x^3+24*g1*g4*u*x^3+10*g1*u^2*x^3+3*g4^3*x^3+12*g4^2*u*x^3+10*g4*u^2*x^3+A0^3* x^2+A0^2*A1*x^2-2*A0^2*A2*x^2+A0^2*g1*x^2+A0^2*g4*x^2-A0*A1^2*x^2-10*A0*A2^2*x^ 2+20*A0*A2*g1*x^2+12*A0*A2*g4*x^2+34*A0*A2*u*x^2+44*A0*A2*x^3+2*A0*A3^2*x^2-9* A0*g1^2*x^2-12*A0*g1*g4*x^2-30*A0*g1*u*x^2-33*A0*g1*x^3-3*A0*g4^2*x^2-21*A0*g4* u*x^2-33*A0*g4*x^3-22*A0*u^2*x^2-54*A0*u*x^3-A1^3*x^2+2*A1^2*A2*x^2-A1^2*g1*x^2 -A1^2*g4*x^2-5*A1*A2^2*x^2+12*A1*A2*g1*x^2+4*A1*A2*g4*x^2+14*A1*A2*u*x^2+44*A1* A2*x^3+A1*A3^2*x^2-6*A1*g1^2*x^2-6*A1*g1*g4*x^2-15*A1*g1*u*x^2-33*A1*g1*x^3-6* 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g1-12*A0*A2*g4-14*A0*A2*u-16*A0*A2*x-2*A0*A3^2+6*A0*g1^2+10*A0*g1*g4+12*A0*g1*u +12*A0*g1*x+4*A0*g4^2+10*A0*g4*u+12*A0*g4*x+6*A0*u^2+12*A0*u*x+2*A0*x^2-2*A1*A2 ^2+4*A1*A2*g1+2*A1*A2*g4+2*A1*A2*u-2*A1*g1^2-2*A1*g1*g4-2*A1*g1*u+2*A1*x^2-8*A2 ^3+22*A2^2*g1+12*A2^2*g4+14*A2^2*u+16*A2^2*x+2*A2*A3^2-20*A2*g1^2-22*A2*g1*g4-\ 26*A2*g1*u-28*A2*g1*x-4*A2*g4^2-10*A2*g4*u-12*A2*g4*x-6*A2*u^2-12*A2*u*x-4*A2*x ^2-2*A3^2*g1+6*g1^3+10*g1^2*g4+12*g1^2*u+12*g1^2*x+4*g1*g4^2+10*g1*g4*u+12*g1* g4*x+6*g1*u^2+12*g1*u*x+2*g1*x^2+2*g4*x^2+A0*A1+7*A0*A2-6*A0*g1-5*A0*g4-6*A0*u-\ 4*A0*x-A1*A2+A1*g1-7*A2^2+13*A2*g1+5*A2*g4+6*A2*u+4*A2*x-6*g1^2-5*g1*g4-6*g1*u-\ 4*g1*x+2*A0-2*A2+2*g1): Z6Q0n1n:=-(A0+A2-g1)*x^3*(x-1)^3*(A0*x+A1*x-2*A2*x+g1*x+g4*x-A0+A2-g1)*dx^5 -(A0+A2-g1)*x^2*(x-1)^2*(4*A0*A2*x^2-3*A0*g1*x^2-3*A0*g4*x^2-5*A0*u*x^2+4*A1*A2 *x^2-3*A1*g1*x^2-3*A1*g4*x^2-5*A1*u*x^2-8*A2^2*x^2+10*A2*g1*x^2+10*A2*g4*x^2+10 *A2*u*x^2-3*g1^2*x^2-6*g1*g4*x^2-5*g1*u*x^2-3*g4^2*x^2-5*g4*u*x^2-6*A0*A2*x+6* 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^2*A2*g4-34*A0^2*A2*u-112*A0^2*A2*x+16*A0^2*g1^2+18*A0^2*g1*g4+30*A0^2*g1*u+72* A0^2*g1*x+12*A0^2*g4*u+72*A0^2*g4*x+8*A0^2*u^2+52*A0^2*u*x+2*A0*A1^3+10*A0*A1^2 *A2-12*A0*A1^2*g1-10*A0*A1^2*g4-22*A0*A1^2*u-40*A0*A1^2*x-2*A0*A1*A2^2+2*A0*A1* A2*u-2*A0*A1*A3^2+4*A0*A1*g1*g4+2*A0*A1*g1*u+2*A0*A1*g4*u+3*A0*A1*u^2+38*A0*A2^ 3-124*A0*A2^2*g1-62*A0*A2^2*g4-206*A0*A2^2*u-696*A0*A2^2*x-34*A0*A2*A3^2+128*A0 *A2*g1^2+140*A0*A2*g1*g4+414*A0*A2*g1*u+1280*A0*A2*g1*x+24*A0*A2*g4^2+248*A0*A2 *g4*u+960*A0*A2*g4*x+301*A0*A2*u^2+1952*A0*A2*u*x+1440*A0*A2*x^2+24*A0*A3^2*g1+ 10*A0*A3^2*g4+44*A0*A3^2*u+152*A0*A3^2*x-40*A0*g1^3-72*A0*g1^2*g4-190*A0*g1^2*u -544*A0*g1^2*x-32*A0*g1*g4^2-246*A0*g1*g4*u-848*A0*g1*g4*x-274*A0*g1*u^2-1648* A0*g1*u*x-1080*A0*g1*x^2-64*A0*g4^2*u-304*A0*g4^2*x-187*A0*g4*u^2-1332*A0*g4*u* x-1080*A0*g4*x^2-124*A0*u^3-1156*A0*u^2*x-1566*A0*u*x^2+2*A1^3*A2-2*A1^3*g1-4* A1^3*u-40*A1^3*x-18*A1^2*A2^2+34*A1^2*A2*g1+14*A1^2*A2*g4+26*A1^2*A2*u+112*A1^2 *A2*x-16*A1^2*g1^2-14*A1^2*g1*g4-22*A1^2*g1*u-72*A1^2*g1*x-4*A1^2*g4*u-72*A1^2* g4*x-52*A1^2*u*x+6*A1*A2^3-22*A1*A2^2*g1-4*A1*A2^2*g4-22*A1*A2^2*u-504*A1*A2^2* x-2*A1*A2*A3^2+24*A1*A2*g1^2+12*A1*A2*g1*g4+56*A1*A2*g1*u+960*A1*A2*g1*x+14*A1* A2*g4*u+640*A1*A2*g4*x+29*A1*A2*u^2+1264*A1*A2*u*x+1440*A1*A2*x^2+2*A1*A3^2*g1+ 4*A1*A3^2*u+88*A1*A3^2*x-8*A1*g1^3-8*A1*g1^2*g4-30*A1*g1^2*u-416*A1*g1^2*x-22* A1*g1*g4*u-592*A1*g1*g4*x-33*A1*g1*u^2-1080*A1*g1*u*x-1080*A1*g1*x^2-176*A1*g4^ 2*x-12*A1*g4*u^2-764*A1*g4*u*x-1080*A1*g4*x^2-12*A1*u^3-644*A1*u^2*x-1566*A1*u* x^2-38*A2^4+174*A2^3*g1+62*A2^3*g4+234*A2^3*u+1200*A2^3*x+38*A2^2*A3^2-272*A2^2 *g1^2-222*A2^2*g1*g4-700*A2^2*g1*u-3000*A2^2*g1*x-24*A2^2*g4^2-292*A2^2*g4*u-\ 2040*A2^2*g4*x-341*A2^2*u^2-3216*A2^2*u*x-2880*A2^2*x^2-62*A2*A3^2*g1-14*A2*A3^ 2*g4-48*A2*A3^2*u-240*A2*A3^2*x+176*A2*g1^3+240*A2*g1^2*g4+660*A2*g1^2*u+2336* A2*g1^2*x+64*A2*g1*g4^2+590*A2*g1*g4*u+3360*A2*g1*g4*x+627*A2*g1*u^2+4784*A2*g1 *u*x+3600*A2*g1*x^2+80*A2*g4^2*u+1024*A2*g4^2*x+231*A2*g4*u^2+3256*A2*g4*u*x+ 3600*A2*g4*x^2+136*A2*u^3+1800*A2*u^2*x+3132*A2*u*x^2+24*A3^2*g1^2+14*A3^2*g1* g4+44*A3^2*g1*u+152*A3^2*g1*x+4*A3^2*g4*u+88*A3^2*g4*x-40*g1^4-80*g1^3*g4-198* g1^3*u-576*g1^3*x-40*g1^2*g4^2-286*g1^2*g4*u-1296*g1^2*g4*x-282*g1^2*u^2-1700* g1^2*u*x-1080*g1^2*x^2-88*g1*g4^2*u-864*g1*g4^2*x-223*g1*g4*u^2-2412*g1*g4*u*x-\ 2160*g1*g4*x^2-124*g1*u^3-1156*g1*u^2*x-1566*g1*u*x^2-144*g4^3*x-12*g4^2*u^2-\ 712*g4^2*u*x-1080*g4^2*x^2-12*g4*u^3-644*g4*u^2*x-1566*g4*u*x^2-30*A0^3-18*A0^2 *A1+72*A0^2*A2-62*A0^2*g1-42*A0^2*g4-44*A0^2*u-80*A0^2*x+22*A0*A1^2-12*A0*A1*A2 +4*A0*A1*g1+4*A0*A1*g4+13*A0*A1*u+182*A0*A2^2-380*A0*A2*g1-200*A0*A2*g4-533*A0* A2*u-1536*A0*A2*x-42*A0*A3^2+184*A0*g1^2+208*A0*g1*g4+510*A0*g1*u+1344*A0*g1*x+ 48*A0*g4^2+323*A0*g4*u+1040*A0*g4*x+340*A0*u^2+1854*A0*u*x+1080*A0*x^2+10*A1^3-\ 40*A1^2*A2+30*A1^2*g1+10*A1^2*g4+8*A1^2*u+80*A1^2*x+86*A1*A2^2-200*A1*A2*g1-60* A1*A2*g4-189*A1*A2*u-1344*A1*A2*x-10*A1*A3^2+104*A1*g1^2+80*A1*g1*g4+197*A1*g1* u+1120*A1*g1*x+68*A1*g4*u+816*A1*g4*x+84*A1*u^2+1278*A1*u*x+1080*A1*x^2-272*A2^ 3+818*A2^2*g1+338*A2^2*g4+745*A2^2*u+2880*A2^2*x+52*A2*A3^2-752*A2*g1^2-700*A2* g1*g4-1315*A2*g1*u-4160*A2*g1*x-96*A2*g4^2-551*A2*g4*u-3040*A2*g4*x-424*A2*u^2-\ 3132*A2*u*x-2160*A2*x^2-42*A3^2*g1-10*A3^2*g4+216*g1^3+332*g1^2*g4+554*g1^2*u+ 1424*g1^2*x+116*g1*g4^2+507*g1*g4*u+2160*g1*g4*x+340*g1*u^2+1854*g1*u*x+1080*g1 *x^2+60*g4^2*u+736*g4^2*x+84*g4*u^2+1278*g4*u*x+1080*g4*x^2+60*A0^2-6*A0*A1+342 *A0*A2-356*A0*g1-198*A0*g4-484*A0*u-1208*A0*x-20*A1^2+246*A1*A2-238*A1*g1-92*A1 *g4-196*A1*u-952*A1*x-622*A2^2+1050*A2*g1+490*A2*g4+680*A2*u+2160*A2*x-416*g1^2 -430*g1*g4-484*g1*u-1208*g1*x-72*g4^2-196*g4*u-952*g4*x+282*A0+154*A1-436*A2+ 282*g1+154*g4): ## H0p2p:=2*x^3*(x-1)^3*(A0^4*x+6*A0^3*A2*x-2*A0^3*g1*x-2*A0^3*g4*x-2*A0^2*A1^ 2*x+15*A0^2*A2^2*x-10*A0^2*A2*g1*x-12*A0^2*A2*g4*x-A0^2*A3^2*x+A0^2*g1^2*x+4*A0 ^2*g1*g4*x+3*A0^2*g4^2*x-6*A0*A1^2*A2*x+2*A0*A1^2*g1*x+2*A0*A1^2*g4*x+18*A0*A2^ 3*x-18*A0*A2^2*g1*x-24*A0*A2^2*g4*x-2*A0*A2*A3^2*x+4*A0*A2*g1^2*x+16*A0*A2*g1* g4*x+12*A0*A2*g4^2*x+2*A0*A3^2*g1*x-2*A0*g1^2*g4*x-4*A0*g1*g4^2*x-2*A0*g4^3*x+ A1^4*x-5*A1^2*A2^2*x+2*A1^2*A2*g1*x+4*A1^2*A2*g4*x-A1^2*A3^2*x+A1^2*g1^2*x-A1^2 *g4^2*x+8*A2^4*x-10*A2^3*g1*x-14*A2^3*g4*x+3*A2^2*g1^2*x+12*A2^2*g1*g4*x+9*A2^2 *g4^2*x+2*A2*A3^2*g1*x-2*A2*A3^2*g4*x-2*A2*g1^2*g4*x-4*A2*g1*g4^2*x-2*A2*g4^3*x -A3^2*g1^2*x+A3^2*g4^2*x-A0^4-6*A0^3*A2+2*A0^3*g1+2*A0^3*g4+3*A0^3*x+A0^2*A1^2-\ 14*A0^2*A2^2+10*A0^2*A2*g1+10*A0^2*A2*g4+13*A0^2*A2*x+A0^2*A3^2-A0^2*g1^2-4*A0^ 2*g1*g4-5*A0^2*g1*x-2*A0^2*g4^2-4*A0^2*g4*x+2*A0*A1^2*A2+2*A0*A1^2*u-3*A0*A1^2* x-14*A0*A2^3+16*A0*A2^2*g1+14*A0*A2^2*g4-2*A0*A2^2*u+21*A0*A2^2*x+2*A0*A2*A3^2-\ 4*A0*A2*g1^2-12*A0*A2*g1*g4-16*A0*A2*g1*x-4*A0*A2*g4^2+4*A0*A2*g4*u-16*A0*A2*g4 *x-2*A0*A3^2*g1-A0*A3^2*x+2*A0*g1^2*g4+2*A0*g1^2*x+2*A0*g1*g4^2+6*A0*g1*g4*x-2* A0*g4^2*u+4*A0*g4^2*x+A1^2*A2^2+2*A1^2*A2*u-5*A1^2*A2*x-A1^2*g1^2+3*A1^2*g1*x+2 *A1^2*g4*x-5*A2^4+8*A2^3*g1+6*A2^3*g4-2*A2^3*u+13*A2^3*x+A2^2*A3^2-3*A2^2*g1^2-\ 8*A2^2*g1*g4-15*A2^2*g1*x-2*A2^2*g4^2+4*A2^2*g4*u-18*A2^2*g4*x-2*A2*A3^2*g1-A2* A3^2*x+2*A2*g1^2*g4+4*A2*g1^2*x+2*A2*g1*g4^2+14*A2*g1*g4*x-2*A2*g4^2*u+10*A2*g4 ^2*x+A3^2*g1^2+A3^2*g1*x-2*g1^2*g4*x-4*g1*g4^2*x-2*g4^3*x-3*A0^3-13*A0^2*A2+5* A0^2*g1+4*A0^2*g4+3*A0^2*x-A0*A1^2-17*A0*A2^2+16*A0*A2*g1+8*A0*A2*g4+8*A0*A2*x+ A0*A3^2-2*A0*g1^2-6*A0*g1*g4-4*A0*g1*x-2*A0*g4*x-A1^2*A2-A1^2*g1+2*A1^2*u-A1^2* x-7*A2^3+13*A2^2*g1+4*A2^2*g4-2*A2^2*u+6*A2^2*x+A2*A3^2-4*A2*g1^2-10*A2*g1*g4-6 *A2*g1*x+4*A2*g4*u-4*A2*g4*x-A3^2*g1+2*g1^2*g4+g1^2*x+2*g1*g4^2+2*g1*g4*x-2*g4^ 2*u+g4^2*x-3*A0^2-8*A0*A2+4*A0*g1+2*A0*g4+A0*x-2*A1^2-3*A2^2+6*A2*g1-2*A2*g4+A2 *x-g1^2-2*g1*g4-g1*x+2*g4^2-A0-A2+g1): Z6P0p2p:= 2*x^3*(x-1)^3*(A0^4*x+6*A0^3*A2*x-2*A0^3*g1*x-2*A0^3*g4*x-2*A0^2* A1^2*x+15*A0^2*A2^2*x-10*A0^2*A2*g1*x-12*A0^2*A2*g4*x-A0^2*A3^2*x+A0^2*g1^2*x+4 *A0^2*g1*g4*x+3*A0^2*g4^2*x-6*A0*A1^2*A2*x+2*A0*A1^2*g1*x+2*A0*A1^2*g4*x+18*A0* A2^3*x-18*A0*A2^2*g1*x-24*A0*A2^2*g4*x-2*A0*A2*A3^2*x+4*A0*A2*g1^2*x+16*A0*A2* g1*g4*x+12*A0*A2*g4^2*x+2*A0*A3^2*g1*x-2*A0*g1^2*g4*x-4*A0*g1*g4^2*x-2*A0*g4^3* x+A1^4*x-5*A1^2*A2^2*x+2*A1^2*A2*g1*x+4*A1^2*A2*g4*x-A1^2*A3^2*x+A1^2*g1^2*x-A1 ^2*g4^2*x+8*A2^4*x-10*A2^3*g1*x-14*A2^3*g4*x+3*A2^2*g1^2*x+12*A2^2*g1*g4*x+9*A2 ^2*g4^2*x+2*A2*A3^2*g1*x-2*A2*A3^2*g4*x-2*A2*g1^2*g4*x-4*A2*g1*g4^2*x-2*A2*g4^3 *x-A3^2*g1^2*x+A3^2*g4^2*x-A0^4-6*A0^3*A2+2*A0^3*g1+2*A0^3*g4+3*A0^3*x+A0^2*A1^ 2-14*A0^2*A2^2+10*A0^2*A2*g1+10*A0^2*A2*g4+13*A0^2*A2*x+A0^2*A3^2-A0^2*g1^2-4* A0^2*g1*g4-5*A0^2*g1*x-2*A0^2*g4^2-4*A0^2*g4*x+2*A0*A1^2*A2+2*A0*A1^2*u-3*A0*A1 ^2*x-14*A0*A2^3+16*A0*A2^2*g1+14*A0*A2^2*g4-2*A0*A2^2*u+21*A0*A2^2*x+2*A0*A2*A3 ^2-4*A0*A2*g1^2-12*A0*A2*g1*g4-16*A0*A2*g1*x-4*A0*A2*g4^2+4*A0*A2*g4*u-16*A0*A2 *g4*x-2*A0*A3^2*g1-A0*A3^2*x+2*A0*g1^2*g4+2*A0*g1^2*x+2*A0*g1*g4^2+6*A0*g1*g4*x 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-7664*A2^2*g4^2*x+1152*A0*A2*g1*g4*x-69744*A2^2*g1*g4*u*x^2-9872*A2*A3^2*g1*u*x ^2-9872*A2*A3^2*g4*u*x^2+55248*A2*g1^2*g4*u*x^2+55248*A2*g1*g4^2*u*x^2+320*A0^2 *A2*g1*g4*x+984*A0^2*A2*g1*u*x+984*A0^2*A2*g4*u*x-1336*A0^2*g1*g4*u*x-2816*A0* A2^2*g1*g4*x-608*A0*A2^2*g1*u*x-608*A0*A2^2*g4*u*x+128*A0*A2*A3^2*g1*x+128*A0* A2*A3^2*g4*x+240*A0*A2*A3^2*u*x+768*A0*A2*g1^2*g4*x-400*A0*A2*g1^2*u*x+768*A0* A2*g1*g4^2*x-400*A0*A2*g4^2*u*x-1184*A0*A2*g4*u^2*x+96*A0*A3^2*g1*u*x+336*A0*g1 ^2*g4*u*x+336*A0*g1*g4^2*u*x-320*A1^2*A2*g1*g4*x-984*A1^2*A2*g1*u*x-984*A1^2*A2 *g4*u*x+62784*A2^2*g1*g4*u*x+10760*A2*A3^2*g1*u*x+8024*A2*A3^2*g4*u*x-55696*A2* g1^2*g4*u*x-45392*A2*g1*g4^2*u*x-51616*A2*g1*g4*u*x^2+240*A0*A2*g1*g4*u+240*A0* A2*g1*u*x+240*A0*A2*g4*u*x+1120*A0*g1*g4*u*x+48768*A2*g1*g4*u*x+36*A0^2+288*A2^ 2+512*A2^3-24*A0^3-280*g4^3+84*g4^2-12*A1^2-190*A2^4+72*g1^2+6*A0^4+6*A1^4-96* A3^2-424*g1^3+32*g4^4+760*A2^5+53*u^2+42*A3^4+400*g1^4+328*A2^6-1056*A0*A2*g1* g4-144*A0^2*A3^2*x+240*A0^2*g1^2*x+144*A1^2*A3^2*x-240*A1^2*g1^2*x-240*A1^2*g4^ 2*x+1808*A3^2*g1^2*x+1136*A3^2*g4^2*x+288*A0*A3^2*x+2144*A2*A3^2*x-1696*A3^2*g1 *x-2656*A2^2*A3^2*g4*x+186*A1^2*A2^2*u+320*A2^2*A3^4*x^2-2080*A2^2*A3^2*g4^2*x^ 2+80*A3^4*g4^2*x^2-534*u^3+5784*A2^2*A3^2*g4*u*x-64*A1^2*A2^2*A3^2*x-32*A1^2*A2 ^2*g4^2*x+204*A1^2*A3^2*u^2*x-552*A1^2*g4^2*u^2*x-320*A2^2*A3^4*x+1728*A2^2*A3^ 2*g4^2*x-128*A3^4*g1^2*x+1840*A3^2*g4^2*u^2*x-22*A0^2*A1^2*u^2-320*A2*A3^4*x+ 208*A3^4*g1*x-224*g1^5+900*u^4: ## H0p2n:= -2*x^3*(x-1)^3*(-4*A2^3*x+10*A2^2*g1*x+10*A2^2*g4*x+12*A2^2*u*x+4*A2 *A3^2*x-8*A2*g1^2*x-16*A2*g1*g4*x-20*A2*g1*u*x-8*A2*g4^2*x-20*A2*g4*u*x-12*A2*u ^2*x-2*A3^2*g1*x-2*A3^2*g4*x-4*A3^2*u*x+2*g1^3*x+6*g1^2*g4*x+8*g1^2*u*x+6*g1*g4 ^2*x+16*g1*g4*u*x+10*g1*u^2*x+2*g4^3*x+8*g4^2*u*x+10*g4*u^2*x+4*u^3*x+2*A0^2*A2 -8*A0*A2^2+4*A0*A2*g1+4*A0*A2*g4+4*A0*A2*u-2*A1^2*A2+10*A2^3-14*A2^2*g1-12*A2^2 *g4-14*A2^2*u-2*A2^2*x-2*A2*A3^2+8*A2*g1^2+12*A2*g1*g4+16*A2*g1*u+4*A2*g1*x+4* A2*g4^2+12*A2*g4*u+4*A2*g4*x+8*A2*u^2+4*A2*u*x+2*A3^2*g1+2*A3^2*u+2*A3^2*x-2*g1 ^3-4*g1^2*g4-6*g1^2*u-2*g1^2*x-2*g1*g4^2-8*g1*g4*u-4*g1*g4*x-6*g1*u^2-4*g1*u*x-\ 2*g4^2*u-2*g4^2*x-4*g4*u^2-4*g4*u*x-2*u^3-2*u^2*x-A0^2+8*A0*A2-2*A0*g1-2*A0*g4-\ 2*A0*u+A1^2-11*A2^2+6*A2*g1+6*A2*g4+6*A2*u-A3^2-2*A0+6*A2-2*g1-2*g4-2*u-1): Z6P0p2n:= -2*x^3*(x-1)^3*(-4*A2^3*x+10*A2^2*g1*x+10*A2^2*g4*x+12*A2^2*u*x+4* A2*A3^2*x-8*A2*g1^2*x-16*A2*g1*g4*x-20*A2*g1*u*x-8*A2*g4^2*x-20*A2*g4*u*x-12*A2 *u^2*x-2*A3^2*g1*x-2*A3^2*g4*x-4*A3^2*u*x+2*g1^3*x+6*g1^2*g4*x+8*g1^2*u*x+6*g1* g4^2*x+16*g1*g4*u*x+10*g1*u^2*x+2*g4^3*x+8*g4^2*u*x+10*g4*u^2*x+4*u^3*x+2*A0^2* A2-8*A0*A2^2+4*A0*A2*g1+4*A0*A2*g4+4*A0*A2*u-2*A1^2*A2+10*A2^3-14*A2^2*g1-12*A2 ^2*g4-14*A2^2*u-2*A2^2*x-2*A2*A3^2+8*A2*g1^2+12*A2*g1*g4+16*A2*g1*u+4*A2*g1*x+4 *A2*g4^2+12*A2*g4*u+4*A2*g4*x+8*A2*u^2+4*A2*u*x+2*A3^2*g1+2*A3^2*u+2*A3^2*x-2* g1^3-4*g1^2*g4-6*g1^2*u-2*g1^2*x-2*g1*g4^2-8*g1*g4*u-4*g1*g4*x-6*g1*u^2-4*g1*u* x-2*g4^2*u-2*g4^2*x-4*g4*u^2-4*g4*u*x-2*u^3-2*u^2*x-A0^2+8*A0*A2-2*A0*g1-2*A0* g4-2*A0*u+A1^2-11*A2^2+6*A2*g1+6*A2*g4+6*A2*u-A3^2-2*A0+6*A2-2*g1-2*g4-2*u-1)* dx^5-2*(x-1)^2*(-16*A2^4*x^2+52*A2^3*g1*x^2+52*A2^3*g4*x^2+68*A2^3*u*x^2+16*A2^ 2*A3^2*x^2-62*A2^2*g1^2*x^2-124*A2^2*g1*g4*x^2-166*A2^2*g1*u*x^2-62*A2^2*g4^2*x ^2-166*A2^2*g4*u*x^2-110*A2^2*u^2*x^2-20*A2*A3^2*g1*x^2-20*A2*A3^2*g4*x^2-36*A2 *A3^2*u*x^2+32*A2*g1^3*x^2+96*A2*g1^2*g4*x^2+132*A2*g1^2*u*x^2+96*A2*g1*g4^2*x^ 2+264*A2*g1*g4*u*x^2+180*A2*g1*u^2*x^2+32*A2*g4^3*x^2+132*A2*g4^2*u*x^2+180*A2* g4*u^2*x^2+80*A2*u^3*x^2+6*A3^2*g1^2*x^2+12*A3^2*g1*g4*x^2+22*A3^2*g1*u*x^2+6* A3^2*g4^2*x^2+22*A3^2*g4*u*x^2+22*A3^2*u^2*x^2-6*g1^4*x^2-24*g1^3*g4*x^2-34*g1^ 3*u*x^2-36*g1^2*g4^2*x^2-102*g1^2*g4*u*x^2-72*g1^2*u^2*x^2-24*g1*g4^3*x^2-102* g1*g4^2*u*x^2-144*g1*g4*u^2*x^2-66*g1*u^3*x^2-6*g4^4*x^2-34*g4^3*u*x^2-72*g4^2* u^2*x^2-66*g4*u^3*x^2-22*u^4*x^2+8*A0^2*A2^2*x-6*A0^2*A2*g1*x-6*A0^2*A2*g4*x-12 *A0^2*A2*u*x-32*A0*A2^3*x+40*A0*A2^2*g1*x+40*A0*A2^2*g4*x+64*A0*A2^2*u*x-12*A0* A2*g1^2*x-24*A0*A2*g1*g4*x-36*A0*A2*g1*u*x-12*A0*A2*g4^2*x-36*A0*A2*g4*u*x-24* A0*A2*u^2*x-8*A1^2*A2^2*x+6*A1^2*A2*g1*x+6*A1^2*A2*g4*x+12*A1^2*A2*u*x+48*A2^4* x-118*A2^3*g1*x-98*A2^3*g4*x-148*A2^3*u*x-72*A2^3*x^2-16*A2^2*A3^2*x+120*A2^2* g1^2*x+188*A2^2*g1*g4*x+286*A2^2*g1*u*x+182*A2^2*g1*x^2+68*A2^2*g4^2*x+222*A2^2 *g4*u*x+182*A2^2*g4*x^2+166*A2^2*u^2*x+224*A2^2*u*x^2+30*A2*A3^2*g1*x+10*A2*A3^ 2*g4*x+36*A2*A3^2*u*x+72*A2*A3^2*x^2-60*A2*g1^3*x-136*A2*g1^2*g4*x-212*A2*g1^2* u*x-148*A2*g1^2*x^2-92*A2*g1*g4^2*x-312*A2*g1*g4*u*x-296*A2*g1*g4*x^2-244*A2*g1 *u^2*x-380*A2*g1*u*x^2-16*A2*g4^3*x-100*A2*g4^2*u*x-148*A2*g4^2*x^2-176*A2*g4*u ^2*x-380*A2*g4*u*x^2-92*A2*u^3*x-232*A2*u^2*x^2-12*A3^2*g1^2*x-12*A3^2*g1*g4*x-\ 34*A3^2*g1*u*x-38*A3^2*g1*x^2-10*A3^2*g4*u*x-38*A3^2*g4*x^2-22*A3^2*u^2*x-80*A3 ^2*u*x^2+12*g1^4*x+36*g1^3*g4*x+58*g1^3*u*x+38*g1^3*x^2+36*g1^2*g4^2*x+126*g1^2 *g4*u*x+114*g1^2*g4*x^2+102*g1^2*u^2*x+156*g1^2*u*x^2+12*g1*g4^3*x+78*g1*g4^2*u *x+114*g1*g4^2*x^2+144*g1*g4*u^2*x+312*g1*g4*u*x^2+78*g1*u^3*x+198*g1*u^2*x^2+ 10*g4^3*u*x+38*g4^3*x^2+42*g4^2*u^2*x+156*g4^2*u*x^2+54*g4*u^3*x+198*g4*u^2*x^2 +22*u^4*x+80*u^3*x^2-4*A0^2*A2^2+6*A0^2*A2*g1+6*A0^2*A2*u+32*A0^2*A2*x+3*A0^2* g1*x+3*A0^2*g4*x+6*A0^2*u*x+16*A0*A2^3-32*A0*A2^2*g1-8*A0*A2^2*g4-32*A0*A2^2*u-\ 112*A0*A2^2*x+12*A0*A2*g1^2+12*A0*A2*g1*g4+24*A0*A2*g1*u+40*A0*A2*g1*x+12*A0*A2 *g4*u+40*A0*A2*g4*x+12*A0*A2*u^2+16*A0*A2*u*x+6*A0*g1^2*x+12*A0*g1*g4*x+18*A0* g1*u*x+6*A0*g4^2*x+18*A0*g4*u*x+12*A0*u^2*x+4*A1^2*A2^2-6*A1^2*A2*g1-6*A1^2*A2* u-32*A1^2*A2*x-3*A1^2*g1*x-3*A1^2*g4*x-6*A1^2*u*x-20*A2^4+58*A2^3*g1+24*A2^3*g4 +58*A2^3*u+168*A2^3*x+4*A2^2*A3^2-58*A2^2*g1^2-60*A2^2*g1*g4-116*A2^2*g1*u-279* A2^2*g1*x-8*A2^2*g4^2-60*A2^2*g4*u-237*A2^2*g4*x-58*A2^2*u^2-264*A2^2*u*x-36*A2 ^2*x^2-10*A2*A3^2*g1-10*A2*A3^2*u-72*A2*A3^2*x+28*A2*g1^3+44*A2*g1^2*g4+84*A2* g1^2*u+198*A2*g1^2*x+16*A2*g1*g4^2+88*A2*g1*g4*u+312*A2*g1*g4*x+84*A2*g1*u^2+ 414*A2*g1*u*x+72*A2*g1*x^2+16*A2*g4^2*u+114*A2*g4^2*x+44*A2*g4*u^2+330*A2*g4*u* x+72*A2*g4*x^2+28*A2*u^3+216*A2*u^2*x+72*A2*u*x^2+6*A3^2*g1^2+12*A3^2*g1*u+59* A3^2*g1*x+17*A3^2*g4*x+6*A3^2*u^2+80*A3^2*u*x+36*A3^2*x^2-6*g1^4-12*g1^3*g4-24* g1^3*u-56*g1^3*x-6*g1^2*g4^2-36*g1^2*g4*u-126*g1^2*g4*x-36*g1^2*u^2-186*g1^2*u* x-36*g1^2*x^2-12*g1*g4^2*u-84*g1*g4^2*x-36*g1*g4*u^2-288*g1*g4*u*x-72*g1*g4*x^2 -24*g1*u^3-204*g1*u^2*x-72*g1*u*x^2-14*g4^3*x-6*g4^2*u^2-102*g4^2*u*x-36*g4^2*x ^2-12*g4*u^3-162*g4*u^2*x-72*g4*u*x^2-6*u^4-74*u^3*x-36*u^2*x^2-16*A0^2*A2-3*A0 ^2*g1-3*A0^2*u-18*A0^2*x+56*A0*A2^2-8*A0*A2*g1-32*A0*A2*g4-8*A0*A2*u+136*A0*A2* x-6*A0*g1^2-6*A0*g1*g4-12*A0*g1*u-30*A0*g1*x-6*A0*g4*u-30*A0*g4*x-6*A0*u^2-24* A0*u*x+16*A1^2*A2+3*A1^2*g1+3*A1^2*u+18*A1^2*x-68*A2^3+81*A2^2*g1+96*A2^2*g4+81 *A2^2*u-156*A2^2*x+20*A2*A3^2-54*A2*g1^2-90*A2*g1*g4-108*A2*g1*u+46*A2*g1*x-36* 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A2^2*g1^2-36*A0^3*g1-24*A0*A1^2-984*g1*g4^2-1128*g1^2*g4+72*A1^2*A2^2-36*A0^3* g4-716*A2^2*A3^2-816*g1^2*x-816*g4^2*x+96*A2*x-48*g1*x+48*A1^2*A2^4-400*A2^4*A3 ^2-12*A1^4*g1-1520*A2^4*x-820*A2^3*u-2144*A2^3*x+1456*g4^3*x-2*A1^2*u-2090*A2^2 *u-1200*A2^2*x-1108*g4^2*u+1600*A2^5*x^2-2368*A2^5*x+2800*A2^4*x^2+1200*g4^4*x^ 2-12*A0^4*g1-17*A0^4*u-96*A0^3*A2^2-24*A0^3*g1^2+424*A0^2*A2^3+88*A0^2*g1^3-896 *A0*A2^4-216*A1^2*A2^3-72*A1^2*g1^3-2252*A2^4*g1-2188*A2^4*g4-1829*A2^4*u-64*A2 ^3*A3^2+3040*A2^3*g1^2+2408*A2^3*g4^2+2594*A2^3*u^2+2240*A2^3*x^2-2504*A2^2*g1^ 3+296*A3^2*g1^3-1600*g1^3*x^2-1600*g4^3*x^2-56*A0^3*u+48*A0*g1^3+128*A1^2*u^2+ 3538*A2^2*u^2+960*A2^2*x^2-1520*A2*g1^3+1184*g1^3*g4+1840*g1^3*x+1200*g1^2*g4^2 +960*g1^2*x^2+2234*g4^2*u^2+960*g4^2*x^2-42*A0^2*u-1386*g1^2*u+16*A0*u-168*A2*u +124*g1*u+320*A2^6*x^2-832*A2^6*x-24*A0^4*A2^2+11*A0^4*u^2+96*A0^3*A2^3-80*A0^2 *A2^4-32*A0^2*g1^4-224*A0*A2^5+24*A1^2*g1^4-1608*A2^5*g1-936*A2^5*g4-2052*A2^5* u+3096*A2^4*g1^2+1000*A2^4*g4^2+3969*A2^4*u^2-3120*A2^3*g1^3-3822*A2^3*u^3+1800 *A2^2*g1^4-128*A3^2*g1^4+1200*g1^4*x^2-12*A0^4*g4+10*A0^3*u^2-192*A1^2*u^3-3422 *A2^2*u^3+1168*A2*g1^4-808*g1^4*g4-1472*g1^4*x-1080*g1^3*g4^2-1862*g4^2*u^3-200 *A0^2*u^2+2070*g1^3*u+3840*g1^2*u^2-338*A0*u^2+1838*A2*u^2-1496*g1*u^2-2*A0^4*u ^3-228*A2^6*u+1148*A2^5*u^2-2064*A2^4*u^3-480*g1^5*x^2+14*A0^3*u^3-576*A2*g1^5+ 320*g1^5*g4+704*g1^5*x+480*g1^4*g4^2+308*A0^2*u^3-1412*g1^4*u-3514*g1^3*u^2-\ 4310*g1^2*u^3+398*A0*u^3-3198*A2*u^3+3070*g1*u^3-480*g4^5*x^2-24*A1^4*A2^2-480* A2^3*g4^3+72*A2^2*A3^4+48*A3^4*g1^2+320*g1^3*g4^3-24*A0^3*g4^2+16*A0^2*g4^3-\ 1184*A2^2*g4^3+72*A2*A3^4-60*A3^4*g1-632*g1^2*g4^3-800*g4^4*x+448*g1*g4^3-8316* A2*g1^2*u^3-15536*A2*u^3*x^2-1078*A3^2*g1*u^3+1872*g1^4*g4*u+4784*g1^4*u*x+2208 *g1^3*g4^2*u+4408*g1^3*g4*u^2+12996*g1^3*u^2*x+3808*g1^2*g4^2*u^2+5192*g1^2*g4* u^3+17392*g1^2*u^3*x+13648*g1*u^3*x^2-372*A0*A2*u^3-124*A0*g1*u^3-20*A0*g4*u^3-\ 596*A0*u^3*x+8068*A2*g1*u^3+15396*A2*u^3*x-6020*g1*g4*u^3-14162*g1*u^3*x-420*A0 ^2*g1*g4+540*A0^2*A2*g4+564*A0^2*A2*g1+24*A0*g1^2*g4-156*A0*A3^2*g1+624*A0*A2* g4^2+432*A0*A2*g1^2+72*A0*A2*A3^2-1236*A0*A2^2*g4-1236*A0*A2^2*g1+24*A0*A1^2*A2 -96*A0*g1*g4^2+1164*A2*A3^2*g1+1796*A2^2*g1*g4-3112*A2*g1^2*g4+2768*A2*g1*g4-\ 600*A0*g1*g4+552*A0*A2*g4+600*A0*A2*g1-1760*A2*g1*g4^2-252*A1^2*A2*g4-276*A1^2* A2*g1+36*A0*A1^2*g4+36*A0*A1^2*g1+644*A2*A3^2*g4+144*A0^2*A2^2*x+240*A0^2*g4^2* x-576*A0*A2^3*x-144*A1^2*A2^2*x+6624*A2^3*g1*x+5664*A2^3*g4*x-10256*A2^2*g1^2*x -7664*A2^2*g4^2*x-1152*A0*A2*g1*g4*x-69744*A2^2*g1*g4*u*x^2-9872*A2*A3^2*g1*u*x ^2-9872*A2*A3^2*g4*u*x^2+55248*A2*g1^2*g4*u*x^2+55248*A2*g1*g4^2*u*x^2+320*A0^2 *A2*g1*g4*x+984*A0^2*A2*g1*u*x+984*A0^2*A2*g4*u*x-1336*A0^2*g1*g4*u*x+2816*A0* A2^2*g1*g4*x+608*A0*A2^2*g1*u*x+608*A0*A2^2*g4*u*x-128*A0*A2*A3^2*g1*x-128*A0* A2*A3^2*g4*x-240*A0*A2*A3^2*u*x-768*A0*A2*g1^2*g4*x+400*A0*A2*g1^2*u*x-768*A0* A2*g1*g4^2*x+400*A0*A2*g4^2*u*x+1184*A0*A2*g4*u^2*x-96*A0*A3^2*g1*u*x-336*A0*g1 ^2*g4*u*x-336*A0*g1*g4^2*u*x-320*A1^2*A2*g1*g4*x-984*A1^2*A2*g1*u*x-984*A1^2*A2 *g4*u*x+62784*A2^2*g1*g4*u*x+10760*A2*A3^2*g1*u*x+8024*A2*A3^2*g4*u*x-55696*A2* g1^2*g4*u*x-45392*A2*g1*g4^2*u*x-51616*A2*g1*g4*u*x^2-240*A0*A2*g1*g4*u-240*A0* A2*g1*u*x-240*A0*A2*g4*u*x-1120*A0*g1*g4*u*x+48768*A2*g1*g4*u*x+36*A0^2+288*A2^ 2+512*A2^3+24*A0^3-280*g4^3+84*g4^2-12*A1^2-190*A2^4+72*g1^2+6*A0^4+6*A1^4-96* A3^2-424*g1^3+32*g4^4+760*A2^5+53*u^2+42*A3^4+400*g1^4+328*A2^6+1056*A0*A2*g1* g4-144*A0^2*A3^2*x+240*A0^2*g1^2*x+144*A1^2*A3^2*x-240*A1^2*g1^2*x-240*A1^2*g4^ 2*x+1808*A3^2*g1^2*x+1136*A3^2*g4^2*x-288*A0*A3^2*x+2144*A2*A3^2*x-1696*A3^2*g1 *x-2656*A2^2*A3^2*g4*x+186*A1^2*A2^2*u+320*A2^2*A3^4*x^2-2080*A2^2*A3^2*g4^2*x^ 2+80*A3^4*g4^2*x^2-534*u^3+5784*A2^2*A3^2*g4*u*x-64*A1^2*A2^2*A3^2*x-32*A1^2*A2 ^2*g4^2*x+204*A1^2*A3^2*u^2*x-552*A1^2*g4^2*u^2*x-320*A2^2*A3^4*x+1728*A2^2*A3^ 2*g4^2*x-128*A3^4*g1^2*x+1840*A3^2*g4^2*u^2*x-22*A0^2*A1^2*u^2-320*A2*A3^4*x+ 208*A3^4*g1*x-224*g1^5+900*u^4: ## H0n2p:=2*x^3*(x-1)^3*(A0^4*x-6*A0^3*A2*x+2*A0^3*g1*x+2*A0^3*g4*x-2*A0^2*A1^ 2*x+15*A0^2*A2^2*x-10*A0^2*A2*g1*x-12*A0^2*A2*g4*x-A0^2*A3^2*x+A0^2*g1^2*x+4*A0 ^2*g1*g4*x+3*A0^2*g4^2*x+6*A0*A1^2*A2*x-2*A0*A1^2*g1*x-2*A0*A1^2*g4*x-18*A0*A2^ 3*x+18*A0*A2^2*g1*x+24*A0*A2^2*g4*x+2*A0*A2*A3^2*x-4*A0*A2*g1^2*x-16*A0*A2*g1* g4*x-12*A0*A2*g4^2*x-2*A0*A3^2*g1*x+2*A0*g1^2*g4*x+4*A0*g1*g4^2*x+2*A0*g4^3*x+ A1^4*x-5*A1^2*A2^2*x+2*A1^2*A2*g1*x+4*A1^2*A2*g4*x-A1^2*A3^2*x+A1^2*g1^2*x-A1^2 *g4^2*x+8*A2^4*x-10*A2^3*g1*x-14*A2^3*g4*x+3*A2^2*g1^2*x+12*A2^2*g1*g4*x+9*A2^2 *g4^2*x+2*A2*A3^2*g1*x-2*A2*A3^2*g4*x-2*A2*g1^2*g4*x-4*A2*g1*g4^2*x-2*A2*g4^3*x -A3^2*g1^2*x+A3^2*g4^2*x-A0^4+6*A0^3*A2-2*A0^3*g1-2*A0^3*g4-3*A0^3*x+A0^2*A1^2-\ 14*A0^2*A2^2+10*A0^2*A2*g1+10*A0^2*A2*g4+13*A0^2*A2*x+A0^2*A3^2-A0^2*g1^2-4*A0^ 2*g1*g4-5*A0^2*g1*x-2*A0^2*g4^2-4*A0^2*g4*x-2*A0*A1^2*A2-2*A0*A1^2*u+3*A0*A1^2* x+14*A0*A2^3-16*A0*A2^2*g1-14*A0*A2^2*g4+2*A0*A2^2*u-21*A0*A2^2*x-2*A0*A2*A3^2+ 4*A0*A2*g1^2+12*A0*A2*g1*g4+16*A0*A2*g1*x+4*A0*A2*g4^2-4*A0*A2*g4*u+16*A0*A2*g4 *x+2*A0*A3^2*g1+A0*A3^2*x-2*A0*g1^2*g4-2*A0*g1^2*x-2*A0*g1*g4^2-6*A0*g1*g4*x+2* A0*g4^2*u-4*A0*g4^2*x+A1^2*A2^2+2*A1^2*A2*u-5*A1^2*A2*x-A1^2*g1^2+3*A1^2*g1*x+2 *A1^2*g4*x-5*A2^4+8*A2^3*g1+6*A2^3*g4-2*A2^3*u+13*A2^3*x+A2^2*A3^2-3*A2^2*g1^2-\ 8*A2^2*g1*g4-15*A2^2*g1*x-2*A2^2*g4^2+4*A2^2*g4*u-18*A2^2*g4*x-2*A2*A3^2*g1-A2* A3^2*x+2*A2*g1^2*g4+4*A2*g1^2*x+2*A2*g1*g4^2+14*A2*g1*g4*x-2*A2*g4^2*u+10*A2*g4 ^2*x+A3^2*g1^2+A3^2*g1*x-2*g1^2*g4*x-4*g1*g4^2*x-2*g4^3*x+3*A0^3-13*A0^2*A2+5* A0^2*g1+4*A0^2*g4+3*A0^2*x+A0*A1^2+17*A0*A2^2-16*A0*A2*g1-8*A0*A2*g4-8*A0*A2*x- A0*A3^2+2*A0*g1^2+6*A0*g1*g4+4*A0*g1*x+2*A0*g4*x-A1^2*A2-A1^2*g1+2*A1^2*u-A1^2* x-7*A2^3+13*A2^2*g1+4*A2^2*g4-2*A2^2*u+6*A2^2*x+A2*A3^2-4*A2*g1^2-10*A2*g1*g4-6 *A2*g1*x+4*A2*g4*u-4*A2*g4*x-A3^2*g1+2*g1^2*g4+g1^2*x+2*g1*g4^2+2*g1*g4*x-2*g4^ 2*u+g4^2*x-3*A0^2+8*A0*A2-4*A0*g1-2*A0*g4-A0*x-2*A1^2-3*A2^2+6*A2*g1-2*A2*g4+A2 *x-g1^2-2*g1*g4-g1*x+2*g4^2+A0-A2+g1): Z6P0n2p:= 2*x^3*(x-1)^3*(A0^4*x-6*A0^3*A2*x+2*A0^3*g1*x+2*A0^3*g4*x-2*A0^2* A1^2*x+15*A0^2*A2^2*x-10*A0^2*A2*g1*x-12*A0^2*A2*g4*x-A0^2*A3^2*x+A0^2*g1^2*x+4 *A0^2*g1*g4*x+3*A0^2*g4^2*x+6*A0*A1^2*A2*x-2*A0*A1^2*g1*x-2*A0*A1^2*g4*x-18*A0* A2^3*x+18*A0*A2^2*g1*x+24*A0*A2^2*g4*x+2*A0*A2*A3^2*x-4*A0*A2*g1^2*x-16*A0*A2* g1*g4*x-12*A0*A2*g4^2*x-2*A0*A3^2*g1*x+2*A0*g1^2*g4*x+4*A0*g1*g4^2*x+2*A0*g4^3* x+A1^4*x-5*A1^2*A2^2*x+2*A1^2*A2*g1*x+4*A1^2*A2*g4*x-A1^2*A3^2*x+A1^2*g1^2*x-A1 ^2*g4^2*x+8*A2^4*x-10*A2^3*g1*x-14*A2^3*g4*x+3*A2^2*g1^2*x+12*A2^2*g1*g4*x+9*A2 ^2*g4^2*x+2*A2*A3^2*g1*x-2*A2*A3^2*g4*x-2*A2*g1^2*g4*x-4*A2*g1*g4^2*x-2*A2*g4^3 *x-A3^2*g1^2*x+A3^2*g4^2*x-A0^4+6*A0^3*A2-2*A0^3*g1-2*A0^3*g4-3*A0^3*x+A0^2*A1^ 2-14*A0^2*A2^2+10*A0^2*A2*g1+10*A0^2*A2*g4+13*A0^2*A2*x+A0^2*A3^2-A0^2*g1^2-4* A0^2*g1*g4-5*A0^2*g1*x-2*A0^2*g4^2-4*A0^2*g4*x-2*A0*A1^2*A2-2*A0*A1^2*u+3*A0*A1 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2*u^2*x-240*A2^2*A3^4*x+992*A2^2*A3^2*g4^2*x-328*A3^4*g1^2*x-1216*A3^2*g4^2*u^2 *x-624*A0^3*A3^2*x-606*A0^2*A1^2*u^2-280*A0*A1^4*x+264*A0*A3^4*x-264*A2*A3^4*x+ 264*A3^4*g1*x-40*g1^5+176*A2^7+14*A1^6: ## H0p3p:=x^3*(x-1)^3*(-A2*x+A3*x+g1*x+g4*x+u*x+A0+A2-g1): Z6P0p3p:=x^3*(x-1)^3*(-A2*x+A3*x+g1*x+g4*x+u*x+A0+A2-g1)*dx^5+x^2*(x-1)^2*( -4*A2^2*x^2+4*A2*A3*x^2+7*A2*g1*x^2+7*A2*g4*x^2+9*A2*u*x^2-3*A3*g1*x^2-3*A3*g4* x^2-5*A3*u*x^2-3*g1^2*x^2-6*g1*g4*x^2-8*g1*u*x^2-3*g4^2*x^2-8*g4*u*x^2-5*u^2*x^ 2+4*A0*A2*x-3*A0*g1*x-3*A0*g4*x-6*A0*u*x+6*A2^2*x-2*A2*A3*x-12*A2*g1*x-5*A2*g4* x-10*A2*u*x-16*A2*x^2+3*A3*g1*x+2*A3*u*x+16*A3*x^2+6*g1^2*x+6*g1*g4*x+11*g1*u*x +16*g1*x^2+2*g4*u*x+16*g4*x^2+2*u^2*x+16*u*x^2-2*A0*A2+3*A0*g1+3*A0*u+18*A0*x-2 *A2^2+5*A2*g1+3*A2*u+25*A2*x-7*A3*x-3*g1^2-3*g1*u-25*g1*x-7*g4*x-7*u*x-9*A0-9* A2+9*g1)*dx^4+x*(x-1)*(-5*A2^3*x^3+5*A2^2*A3*x^3+13*A2^2*g1*x^3+13*A2^2*g4*x^3+ 21*A2^2*u*x^3+A2*A3^2*x^3-8*A2*A3*g1*x^3-8*A2*A3*g4*x^3-16*A2*A3*u*x^3-11*A2*g1 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u*x-20*A2*A3^2*g4*u*x+31*A2*A3*g1*u^2*x+21*A2*A3*g4*u^2*x+188*A2*g1^2*g4*u*x+ 118*A2*g1*g4^2*u*x+371*A2*g1*g4*u^2*x+18*A3^2*g1*g4*u*x-21*A3*g1*g4*u^2*x+51*A0 *A2*g1*g4*u-96*A2*A3*g1*g4*x-5*A2^2*A3*g1*u^2*x^2-5*A2^2*A3*g4*u^2*x^2-18*A2^2* g1*g4*u^2*x^2-3*A2*A3^2*g1*u^2*x^2-3*A2*A3^2*g4*u^2*x^2+4*A2*A3*g1^2*u^2*x^2+8* A2*A3*g1*u^3*x^2+4*A2*A3*g4^2*u^2*x^2+8*A2*A3*g4*u^3*x^2+15*A2*g1^2*g4*u^2*x^2+ 15*A2*g1*g4^2*u^2*x^2+30*A2*g1*g4*u^3*x^2+2*A3^2*g1*g4*u^2*x^2-3*A3*g1^2*g4*u^2 *x^2-3*A3*g1*g4^2*u^2*x^2-6*A3*g1*g4*u^3*x^2-10*A0*A2^2*g1*u^2*x-10*A0*A2^2*g4* u^2*x-4*A0*A2*A3^2*u^2*x-2*A0*A2*A3*u^3*x+8*A0*A2*g1^2*u^2*x+19*A0*A2*g1*u^3*x+ 8*A0*A2*g4^2*u^2*x+19*A0*A2*g4*u^3*x+2*A0*A3^2*g1*u^2*x+2*A0*A3^2*g4*u^2*x+A0* A3*g1*u^3*x+A0*A3*g4*u^3*x-6*A0*g1^2*g4*u^2*x-6*A0*g1*g4^2*u^2*x-14*A0*g1*g4*u^ 3*x+26*A2^2*g1*g4*u^2*x+6*A2*A3^2*g1*u^2*x+2*A2*A3^2*g4*u^2*x+3*A2*A3*g1*u^3*x+ A2*A3*g4*u^3*x-22*A2*g1^2*g4*u^2*x-14*A2*g1*g4^2*u^2*x-33*A2*g1*g4*u^3*x-2*A3^2 *g1*g4*u^2*x-A3*g1*g4*u^3*x-2*A0^2*A2*A3*u*x+2*A0^2*A3*g1*u*x+2*A0^2*A3*g4*u*x+ 2*A0*A2*A3*g1*u^2-9*A0*A2*g1*g4*u^2-A0*A3*g1*g4*u^2+2*A1^2*A2*A3*u*x-2*A1^2*A3* g1*u*x-2*A1^2*A3*g4*u*x-20*A2^2*A3*g1*u*x-10*A2^2*A3*g4*u*x+20*A2*A3*g1^2*u*x- A2*A3*g1*g4*u^2+4*A2*A3*g4^2*u*x-12*A3*g1^2*g4*u*x-6*A3*g1*g4^2*u*x-6*A0*A2*A3* g1*u+3*A0*A3*g1*g4*u+3*A2*A3*g1*g4*u: ## H0n3n:=x^3*(x-1)^3*(A2*x+A3*x-g1*x-g4*x-u*x+A0-A2+g1): Z6P0n3n:=x^3*(x-1)^3*(A2*x+A3*x-g1*x-g4*x-u*x+A0-A2+g1)*dx^5+x^2*(x-1)^2*(4 *A2^2*x^2+4*A2*A3*x^2-7*A2*g1*x^2-7*A2*g4*x^2-9*A2*u*x^2-3*A3*g1*x^2-3*A3*g4*x^ 2-5*A3*u*x^2+3*g1^2*x^2+6*g1*g4*x^2+8*g1*u*x^2+3*g4^2*x^2+8*g4*u*x^2+5*u^2*x^2+ 4*A0*A2*x-3*A0*g1*x-3*A0*g4*x-6*A0*u*x-6*A2^2*x-2*A2*A3*x+12*A2*g1*x+5*A2*g4*x+ 10*A2*u*x+16*A2*x^2+3*A3*g1*x+2*A3*u*x+16*A3*x^2-6*g1^2*x-6*g1*g4*x-11*g1*u*x-\ 16*g1*x^2-2*g4*u*x-16*g4*x^2-2*u^2*x-16*u*x^2-2*A0*A2+3*A0*g1+3*A0*u+18*A0*x+2* A2^2-5*A2*g1-3*A2*u-25*A2*x-7*A3*x+3*g1^2+3*g1*u+25*g1*x+7*g4*x+7*u*x-9*A0+9*A2 -9*g1)*dx^4+x*(x-1)*(5*A2^3*x^3+5*A2^2*A3*x^3-13*A2^2*g1*x^3-13*A2^2*g4*x^3-21* A2^2*u*x^3-A2*A3^2*x^3-8*A2*A3*g1*x^3-8*A2*A3*g4*x^3-16*A2*A3*u*x^3+11*A2*g1^2* x^3+22*A2*g1*g4*x^3+36*A2*g1*u*x^3+11*A2*g4^2*x^3+36*A2*g4*u*x^3+26*A2*u^2*x^3- A3^3*x^3+A3^2*g1*x^3+A3^2*g4*x^3+A3^2*u*x^3+3*A3*g1^2*x^3+6*A3*g1*g4*x^3+12*A3* g1*u*x^3+3*A3*g4^2*x^3+12*A3*g4*u*x^3+10*A3*u^2*x^3-3*g1^3*x^3-9*g1^2*g4*x^3-15 *g1^2*u*x^3-9*g1*g4^2*x^3-30*g1*g4*u*x^3-22*g1*u^2*x^3-3*g4^3*x^3-15*g4^2*u*x^3 -22*g4*u^2*x^3-10*u^3*x^3+A0^2*A2*x^2+A0^2*A3*x^2-A0^2*g1*x^2-A0^2*g4*x^2-A0^2* u*x^2+5*A0*A2^2*x^2-8*A0*A2*g1*x^2-8*A0*A2*g4*x^2-20*A0*A2*u*x^2-A0*A3^2*x^2+3* A0*g1^2*x^2+6*A0*g1*g4*x^2+15*A0*g1*u*x^2+3*A0*g4^2*x^2+15*A0*g4*u*x^2+15*A0*u^ 2*x^2-A1^2*A2*x^2-A1^2*A3*x^2+A1^2*g1*x^2+A1^2*g4*x^2+A1^2*u*x^2-10*A2^3*x^2-5* A2^2*A3*x^2+30*A2^2*g1*x^2+17*A2^2*g4*x^2+39*A2^2*u*x^2+44*A2^2*x^3+2*A2*A3^2*x ^2+12*A2*A3*g1*x^2+4*A2*A3*g4*x^2+14*A2*A3*u*x^2+44*A2*A3*x^3-29*A2*g1^2*x^2-36 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x+4*A2*A3*g1^2*x+8*A2*A3*g1*g4*x+4*A2*A3*g4^2*x-2*A2*g1^2*g4*x-2*A2*g1*g4^2*x+ A3^2*g1^2*x+A3^2*g4^2*x-2*A3*g1^2*g4*x-2*A3*g1*g4^2*x-A0^4+A0^2*A1^2+4*A0^2*A2^ 2+4*A0^2*A2*A3-2*A0^2*A2*g1-2*A0^2*A2*g4-4*A0^2*A2*x+A0^2*A3^2-2*A0^2*A3*g4-2* A0^2*A3*x+A0^2*g1^2+2*A0^2*g4*x-A1^2*A2^2+2*A1^2*A2*g1-4*A1^2*A2*x-2*A1^2*A3*x- A1^2*g1^2+2*A1^2*g1*x-3*A2^4-4*A2^3*A3+6*A2^3*g1+2*A2^3*g4+8*A2^3*x-A2^2*A3^2+8 *A2^2*A3*g1+2*A2^2*A3*g4+4*A2^2*A3*x-3*A2^2*g1^2-4*A2^2*g1*g4-10*A2^2*g1*x-10* A2^2*g4*x+2*A2*A3^2*g1-4*A2*A3*g1^2-4*A2*A3*g1*g4-4*A2*A3*g1*x-4*A2*A3*g4*x+2* A2*g1^2*g4+4*A2*g1^2*x+8*A2*g1*g4*x+4*A2*g4^2*x-A3^2*g1^2+2*A3*g1^2*g4+2*A3*g1^ 2*x+2*A3*g4^2*x-2*g1^2*g4*x-2*g1*g4^2*x+4*A0^2*A2+2*A0^2*A3-2*A0^2*g4-A0^2*x-A1 ^2*x-4*A2^3-2*A2^2*A3+8*A2^2*g1+2*A2^2*g4+2*A2^2*x+4*A2*A3*g1-4*A2*g1^2-4*A2*g1 *g4-2*A2*g1*x-2*A2*g4*x-2*A3*g1^2+2*g1^2*g4+g1^2*x+g4^2*x+A0^2-A2^2+2*A2*g1-g1^ 2)*(x-1)^3*x^3: Z6P2p3p:=2*(A0^4*x-2*A0^2*A1^2*x-3*A0^2*A2^2*x-4*A0^2*A2*A3*x+2*A0^2*A2*g1* x-A0^2*A3^2*x+2*A0^2*A3*g4*x-A0^2*g1^2*x+A0^2*g4^2*x+A1^4*x-3*A1^2*A2^2*x-4*A1^ 2*A2*A3*x+2*A1^2*A2*g4*x-A1^2*A3^2*x+2*A1^2*A3*g1*x+A1^2*g1^2*x-A1^2*g4^2*x+6* A2^4*x+8*A2^3*A3*x-8*A2^3*g1*x-8*A2^3*g4*x+2*A2^2*A3^2*x-10*A2^2*A3*g1*x-10*A2^ 2*A3*g4*x+3*A2^2*g1^2*x+8*A2^2*g1*g4*x+3*A2^2*g4^2*x-2*A2*A3^2*g1*x-2*A2*A3^2* g4*x+4*A2*A3*g1^2*x+8*A2*A3*g1*g4*x+4*A2*A3*g4^2*x-2*A2*g1^2*g4*x-2*A2*g1*g4^2* x+A3^2*g1^2*x+A3^2*g4^2*x-2*A3*g1^2*g4*x-2*A3*g1*g4^2*x-A0^4+A0^2*A1^2+4*A0^2* A2^2+4*A0^2*A2*A3-2*A0^2*A2*g1-2*A0^2*A2*g4-4*A0^2*A2*x+A0^2*A3^2-2*A0^2*A3*g4-\ 2*A0^2*A3*x+A0^2*g1^2+2*A0^2*g4*x-A1^2*A2^2+2*A1^2*A2*g1-4*A1^2*A2*x-2*A1^2*A3* x-A1^2*g1^2+2*A1^2*g1*x-3*A2^4-4*A2^3*A3+6*A2^3*g1+2*A2^3*g4+8*A2^3*x-A2^2*A3^2 +8*A2^2*A3*g1+2*A2^2*A3*g4+4*A2^2*A3*x-3*A2^2*g1^2-4*A2^2*g1*g4-10*A2^2*g1*x-10 *A2^2*g4*x+2*A2*A3^2*g1-4*A2*A3*g1^2-4*A2*A3*g1*g4-4*A2*A3*g1*x-4*A2*A3*g4*x+2* A2*g1^2*g4+4*A2*g1^2*x+8*A2*g1*g4*x+4*A2*g4^2*x-A3^2*g1^2+2*A3*g1^2*g4+2*A3*g1^ 2*x+2*A3*g4^2*x-2*g1^2*g4*x-2*g1*g4^2*x+4*A0^2*A2+2*A0^2*A3-2*A0^2*g4-A0^2*x-A1 ^2*x-4*A2^3-2*A2^2*A3+8*A2^2*g1+2*A2^2*g4+2*A2^2*x+4*A2*A3*g1-4*A2*g1^2-4*A2*g1 *g4-2*A2*g1*x-2*A2*g4*x-2*A3*g1^2+2*g1^2*g4+g1^2*x+g4^2*x+A0^2-A2^2+2*A2*g1-g1^ 2)*(x-1)^3*x^3*dx^5+2*(4*A0^4*A2*x^2-3*A0^4*g1*x^2-3*A0^4*g4*x^2-5*A0^4*u*x^2-8 *A0^2*A1^2*A2*x^2+6*A0^2*A1^2*g1*x^2+6*A0^2*A1^2*g4*x^2+10*A0^2*A1^2*u*x^2-12* A0^2*A2^3*x^2-16*A0^2*A2^2*A3*x^2+17*A0^2*A2^2*g1*x^2+9*A0^2*A2^2*g4*x^2+15*A0^ 2*A2^2*u*x^2-4*A0^2*A2*A3^2*x^2+12*A0^2*A2*A3*g1*x^2+20*A0^2*A2*A3*g4*x^2+20*A0 ^2*A2*A3*u*x^2-10*A0^2*A2*g1^2*x^2-6*A0^2*A2*g1*g4*x^2-10*A0^2*A2*g1*u*x^2+4*A0 ^2*A2*g4^2*x^2+3*A0^2*A3^2*g1*x^2+3*A0^2*A3^2*g4*x^2+5*A0^2*A3^2*u*x^2-6*A0^2* A3*g1*g4*x^2-6*A0^2*A3*g4^2*x^2-10*A0^2*A3*g4*u*x^2+3*A0^2*g1^3*x^2+3*A0^2*g1^2 *g4*x^2+5*A0^2*g1^2*u*x^2-3*A0^2*g1*g4^2*x^2-3*A0^2*g4^3*x^2-5*A0^2*g4^2*u*x^2+ 4*A1^4*A2*x^2-3*A1^4*g1*x^2-3*A1^4*g4*x^2-5*A1^4*u*x^2-12*A1^2*A2^3*x^2-16*A1^2 *A2^2*A3*x^2+9*A1^2*A2^2*g1*x^2+17*A1^2*A2^2*g4*x^2+15*A1^2*A2^2*u*x^2-4*A1^2* A2*A3^2*x^2+20*A1^2*A2*A3*g1*x^2+12*A1^2*A2*A3*g4*x^2+20*A1^2*A2*A3*u*x^2+4*A1^ 2*A2*g1^2*x^2-6*A1^2*A2*g1*g4*x^2-10*A1^2*A2*g4^2*x^2-10*A1^2*A2*g4*u*x^2+3*A1^ 2*A3^2*g1*x^2+3*A1^2*A3^2*g4*x^2+5*A1^2*A3^2*u*x^2-6*A1^2*A3*g1^2*x^2-6*A1^2*A3 *g1*g4*x^2-10*A1^2*A3*g1*u*x^2-3*A1^2*g1^3*x^2-3*A1^2*g1^2*g4*x^2-5*A1^2*g1^2*u *x^2+3*A1^2*g1*g4^2*x^2+3*A1^2*g4^3*x^2+5*A1^2*g4^2*u*x^2+24*A2^5*x^2+32*A2^4* A3*x^2-50*A2^4*g1*x^2-50*A2^4*g4*x^2-30*A2^4*u*x^2+8*A2^3*A3^2*x^2-64*A2^3*A3* g1*x^2-64*A2^3*A3*g4*x^2-40*A2^3*A3*u*x^2+36*A2^3*g1^2*x^2+80*A2^3*g1*g4*x^2+40 *A2^3*g1*u*x^2+36*A2^3*g4^2*x^2+40*A2^3*g4*u*x^2-14*A2^2*A3^2*g1*x^2-14*A2^2*A3 ^2*g4*x^2-10*A2^2*A3^2*u*x^2+46*A2^2*A3*g1^2*x^2+92*A2^2*A3*g1*g4*x^2+50*A2^2* A3*g1*u*x^2+46*A2^2*A3*g4^2*x^2+50*A2^2*A3*g4*u*x^2-9*A2^2*g1^3*x^2-41*A2^2*g1^ 2*g4*x^2-15*A2^2*g1^2*u*x^2-41*A2^2*g1*g4^2*x^2-40*A2^2*g1*g4*u*x^2-9*A2^2*g4^3 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u*x-9536*A2*A3*g1*g4*u-17008*A2*A3*g1*u*x-10352*A2*A3*g4*u*x+36520*A2*g1*g4*u*x +948*A0^4-906*A0^2-394*A1^2+1300*A2^2+380*A1^4+906*g1^2+394*g4^2+9248*A2^4+6456 *A2^3-976*g1^3-120*g4^3+5248*A2^5+344*g1^4+8048*A2*A3*g1*g4+2192*A0^2*A3^2*x+ 4432*A0^2*g1^2*x+2800*A0^2*g4^2*x+1808*A1^2*A3^2*x+1040*A1^2*g1^2*x+2608*A1^2* g4^2*x-2192*A3^2*g1^2*x-1808*A3^2*g4^2*x-9600*A1^2*A2^2*g4*x+1036*A0^2*g4^2*u^2 *x+1060*A1^2*g4^2*u^2*x+1052*A1^2*u^2*x-1052*g4^2*u^2*x-40*g1^5: ## H2n3n:= -2*(12*A2^3*x+16*A2^2*A3*x-22*A2^2*g1*x-22*A2^2*g4*x-36*A2^2*u*x+4* A2*A3^2*x-16*A2*A3*g1*x-16*A2*A3*g4*x-24*A2*A3*u*x+12*A2*g1^2*x+24*A2*g1*g4*x+ 36*A2*g1*u*x+12*A2*g4^2*x+36*A2*g4*u*x+24*A2*u^2*x-2*A3^2*g1*x-2*A3^2*g4*x-4*A3 ^2*u*x+4*A3*g1^2*x+8*A3*g1*g4*x+12*A3*g1*u*x+4*A3*g4^2*x+12*A3*g4*u*x+8*A3*u^2* x-2*g1^3*x-6*g1^2*g4*x-8*g1^2*u*x-6*g1*g4^2*x-16*g1*g4*u*x-10*g1*u^2*x-2*g4^3*x -8*g4^2*u*x-10*g4*u^2*x-4*u^3*x+2*A0^2*A2-2*A1^2*A2-6*A2^3-8*A2^2*A3+18*A2^2*g1 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x-14080*A2*A3*g1*g4*x^2-25568*A2*A3*g1*u*x^2-22256*A2*A3*g4^2*u*x-25568*A2*A3* g4*u*x^2+59472*A2*g1^2*g4*u*x+52848*A2*g1*g4^2*u*x+21680*A2*g1*g4*u*x^2+18848* A3*g1^2*g4*u*x+15328*A3*g1*g4^2*u*x+12600*A2*A3*g1*g4*u+24848*A2*A3*g1*u*x+ 26288*A2*A3*g4*u*x-21680*A2*g1*g4*u*x+6*A0^4+96*A0^2-48*A1^2+1292*A2^2+6*A1^4+ 640*g1^2+544*g4^2-1902*A2^4-856*A2^3-720*x^2-584*g1^3+8*g4^3-968*A2^5+659*u^2+ 240*g1^4-128*g4^4-3120*A2*A3*g1*g4-144*A0^2*A3^2*x+208*A0^2*g1^2*x+208*A0^2*g4^ 2*x+144*A1^2*A3^2*x-208*A1^2*g1^2*x-208*A1^2*g4^2*x+2000*A3^2*g1^2*x+1200*A3^2* g4^2*x-1168*A1^2*A2^2*g4*x-208*A0^2*g4^2*u^2*x+208*A1^2*g4^2*u^2*x-644*A1^2*u^2 *x-2808*g4^2*u^2*x-1336*u^3+64*g1^5: ## H2p3n:=-2*(A0^4*x-2*A0^2*A1^2*x-3*A0^2*A2^2*x+4*A0^2*A2*A3*x+2*A0^2*A2*g1*x -A0^2*A3^2*x-2*A0^2*A3*g4*x-A0^2*g1^2*x+A0^2*g4^2*x+A1^4*x-3*A1^2*A2^2*x+4*A1^2 *A2*A3*x+2*A1^2*A2*g4*x-A1^2*A3^2*x-2*A1^2*A3*g1*x+A1^2*g1^2*x-A1^2*g4^2*x+6*A2 ^4*x-8*A2^3*A3*x-8*A2^3*g1*x-8*A2^3*g4*x+2*A2^2*A3^2*x+10*A2^2*A3*g1*x+10*A2^2* 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