[1, -(Q*z+2*z-1)*(Q*z-2*z-1)*G^2+1];

[2, -(Q*z+2*z-1)*(Q*z-2*z-1)*G^3*Q*z+3*G*Q*z-(-Q^2*z^2-4*z^2+1)*G^2+1];

[3, -(Q-1)*(Q+1)*(Q*z+2*z-1)*(Q*z-2*z-1)*G^4*z^2+2*(Q*z+1)*(Q^2*z-Q+2*z)*G^3*z+4*G*Q*z-(-6*Q^2*z^2+z^2+1)*G^2+1];

[4, -(Q^2-2)*(Q*z+2*z-1)*(Q*z-2*z-1)*G^5*Q*z^3+(3*Q^4*z^2+2*Q^2*z^2-3*Q^2+8*Q*z-8*z^2+2)*G^4*z^2+(10*Q^3*z^2-6*Q*z^2-3*Q+4*z)*G^3*z+5*G*Q*z-(-10*Q^2*z^2+2*z^2+1)*G^2+1];

[5, -(Q^2+Q-1)*(Q^2-Q-1)*(Q*z+2*z-1)*(Q*z-2*z-1)*G^6*z^4+2*(2*Q^5*z^2-Q^3*z^2-2*Q^3+6*Q^2*z-8*Q*z^2+3*Q-4*z)*G^5*z^3+3*(5*Q^4*z^2-6*Q^2*z^2-2*Q^2+4*Q*z-z^2+1)*G^4*z^2+4*(5*Q^3*z^2-3*Q*z^2-Q+z)*G^3*z+6*G*Q*z-(-15*Q^2*z^2+3*z^2+1)*G^2+1];

[6, -(Q-1)*(Q+1)*(Q^2-3)*(Q*z+2*z-1)*(Q*z-2*z-1)*G^7*Q*z^5+(5*Q^6*z^2-8*Q^4*z^2-5*Q^4+16*Q^3*z-21*Q^2*z^2+12*Q^2-24*Q*z+12*z^2-3)*G^6*z^4+(21*Q^5*z^2-40*Q^3*z^2-10*Q^3+24*Q^2*z-3*Q*z^2+12*Q-12*z)*G^5*z^3+(35*Q^4*z^2-40*Q^2*z^2-10*Q^2+16*Q*z-z^2+4)*G^4*z^2+(35*Q^3*z^2-20*Q*z^2-5*Q+4*z)*G^3*z+7*G*Q*z-(-21*Q^2*z^2+4*z^2+1)*G^2+1];

[7, -(Q^3-Q^2-2*Q+1)*(Q^3+Q^2-2*Q-1)*(Q*z+2*z-1)*(Q*z-2*z-1)*G^8*z^6+2*(3*Q^7*z^2-8*Q^5*z^2-3*Q^5+10*Q^4*z-10*Q^3*z^2+10*Q^3-24*Q^2*z+18*Q*z^2-6*Q+6*z)*G^7*z^5+(28*Q^6*z^2-75*Q^4*z^2-15*Q^4+40*Q^3*z+12*Q^2*z^2+30*Q^2-48*Q*z+11*z^2-6)*G^6*z^4+4*(14*Q^5*z^2-25*Q^3*z^2-5*Q^3+10*Q^2*z+2*Q*z^2+5*Q-4*z)*G^5*z^3+(70*Q^4*z^2-75*Q^2*z^2-15*Q^2+20*Q*z+2*z^2+5)*G^4*z^2+2*(28*Q^3*z^2-15*Q*z^2-3*Q+2*z)*G^3*z+8*G*Q*z-(-28*Q^2*z^2+5*z^2+1)*G^2+1];

[8, -(Q^2-2)*(Q^4-4*Q^2+2)*(Q*z+2*z-1)*(Q*z-2*z-1)*G^9*Q*z^7+(7*Q^8*z^2-26*Q^6*z^2-7*Q^6+24*Q^5*z-10*Q^4*z^2+30*Q^4-80*Q^3*z+68*Q^2*z^2-30*Q^2+48*Q*z-16*z^2+4)*G^8*z^6+3*(12*Q^7*z^2-42*Q^5*z^2-7*Q^5+20*Q^4*z+20*Q^3*z^2+20*Q^3-40*Q^2*z+12*Q*z^2-10*Q+8*z)*G^7*z^5+(84*Q^6*z^2-210*Q^4*z^2-35*Q^4+80*Q^3*z+60*Q^2*z^2+60*Q^2-80*Q*z+12*z^2-10)*G^6*z^4+(126*Q^5*z^2-210*Q^3*z^2-35*Q^3+60*Q^2*z+30*Q*z^2+30*Q-20*z)*G^5*z^3+3*(42*Q^4*z^2-42*Q^2*z^2-7*Q^2+8*Q*z+2*z^2+2)*G^4*z^2+(84*Q^3*z^2-42*Q*z^2-7*Q+4*z)*G^3*z+9*G*Q*z-(-36*Q^2*z^2+6*z^2+1)*G^2+1];

## Need to do #9 and #10 carefully.

[9, -(Q-1)*(Q+1)*(Q^3-3*Q+1)*(Q^3-3*Q-1)*(Q*z+2*z-1)*(Q*z-2*z-1)*G^10*z^8+(2*(4*Q^9*z^2-19*Q^7*z^2-4*Q^7+14*Q^6*z+6*Q^5*z^2+21*Q^5-60*Q^4*z+50*Q^3*z^2-30*Q^3+60*Q^2*z-32*Q*z^2+10*Q-8*z))*G^9*z^7+(45*Q^8*z^2-196*Q^6*z^2-28*Q^6+84*Q^5*z+165*Q^4*z^2+105*Q^4-240*Q^3*z+60*Q^2*z^2-90*Q^2+120*Q*z-23*z^2+10)*G^8*z^6+(4*(30*Q^7*z^2-98*Q^5*z^2-14*Q^5+35*Q^4*z+55*Q^3*z^2+35*Q^3-60*Q^2*z+10*Q*z^2-15*Q+10*z))*G^7*z^5+(5*(42*Q^6*z^2-98*Q^4*z^2-14*Q^4+28*Q^3*z+33*Q^2*z^2+21*Q^2-24*Q*z+2*z^2-3))*G^6*z^4+(2*(126*Q^5*z^2-196*Q^3*z^2-28*Q^3+42*Q^2*z+33*Q*z^2+21*Q-12*z))*G^5*z^3+(210*Q^4*z^2-196*Q^2*z^2-28*Q^2+28*Q*z+11*z^2+7)*G^4*z^2+(4*(30*Q^3*z^2-14*Q*z^2-2*Q+z))*G^3*z+10*G*Q*z+(45*Q^2*z^2-7*z^2-1)*G^2+1];

[10, -(Q^2+Q-1)*(Q^2-Q-1)*(Q^4-5*Q^2+5)*(Q*z+2*z-1)*(Q*z-2*z-1)*G^11*Q*z^9+(9*Q^10*z^2-52*Q^8*z^2-9*Q^8+32*Q^7*z+49*Q^6*z^2+56*Q^6-168*Q^5*z+120*Q^4*z^2-105*Q^4+240*Q^3*z-155*Q^2*z^2+60*Q^2-80*Q*z+20*z^2-5)*G^10*z^8+(55*Q^9*z^2-288*Q^7*z^2-36*Q^7+112*Q^6*z+357*Q^5*z^2+168*Q^5-420*Q^4*z+40*Q^3*z^2-210*Q^3+360*Q^2*z-105*Q*z^2+60*Q-40*z)*G^9*z^7+(165*Q^8*z^2-672*Q^6*z^2-84*Q^6+224*Q^5*z+595*Q^4*z^2+280*Q^4-560*Q^3*z+40*Q^2*z^2-210*Q^2+240*Q*z-35*z^2+20)*G^8*z^6+(330*Q^7*z^2-1008*Q^5*z^2-126*Q^5+280*Q^4*z+595*Q^3*z^2+280*Q^3-420*Q^2*z+20*Q*z^2-105*Q+60*z)*G^7*z^5+(462*Q^6*z^2-1008*Q^4*z^2-126*Q^4+224*Q^3*z+357*Q^2*z^2+168*Q^2-168*Q*z+4*z^2-21)*G^6*z^4+(7*(66*Q^5*z^2-96*Q^3*z^2-12*Q^3+16*Q^2*z+17*Q*z^2+8*Q-4*z))*G^5*z^3+(330*Q^4*z^2-288*Q^2*z^2-36*Q^2+32*Q*z+17*z^2+8)*G^4*z^2+(165*Q^3*z^2-72*Q*z^2-9*Q+4*z)*G^3*z+11*G*Q*z-(-55*Q^2*z^2+8*z^2+1)*G^2+1];