DegreesAndMultiplicitiesE6ad_4mod6 := [
[1, 3],
[q*(q^6+q^3+1)*(q^4+1), 3],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1), 3],
[(q^2-q+1)*(q^6+q^3+1)*(q^4-q^2+1)*(q^2+q+1)^2, q-4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^4, 3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^2-q+1)^2, 3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1), 3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2, 3],
[(q-1)*(q^2-q+1)*(q^2+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1), 3/2*q],
[(q+1)*(q^2-q+1)*(q^2+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1), 3/2*q-3],
[q^4*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 3],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q-1)^4, 1/3*(q+2)*(q-1)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)],
[q^6*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2, 3],
[q^2*(q^2+1)*(q^2-q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2, q-4],
[(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2, 1/6*q^2-5/6*q+5/3],
[q^5*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1), 3],
[(q+1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[q*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1), 3/2*q],
[(q-1)*(q+1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q*(q-4)],
[q^6*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 3],
[q*(q+1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[q^2*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2, q-4],
[q*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1), 3/2*q-3],
[(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-4)^2],
[(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 1],
[1/6*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 3],
[1/6*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^4, 3],
[1/3*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4*(q-1)^6, 6],
[1/3*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2, 3],
[1/3*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^3, 3],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^4, 3],
[1/2*q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^3*(q-1)^4, q-4],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2, 3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^3, q-4],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q-1)^4, 1/3*(q+2)*(q-1)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 3/2*q],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)],
[q^2*(q-1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^3, 3/2*q],
[(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q*(q-4)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 3],
[(q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 3/2*q-6],
[q^2*(q+1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^3, 3/2*q-3],
[q*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-4],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-4)^2],
[q*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2+q+1)^2, 1/6*q^2-5/6*q+5/3],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^4, 1/4*q*(q-4)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 3/2*q],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/2*(q+2)*(q-1)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*q*(q-1)*(q-2)],
[q^3*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2-q+1)^2, 3/2*q],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 3/4*q*(q-2)],
[q^12*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2, 3],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q*(q-1)],
[q^3*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2, 3/2*q],
[q*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q*(q-4)],
[(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2, 3/4*q*(q-2)],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 3],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/2*q*(q-1)],
[(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q-1)^3*(q^2+q+1)^3, 1/4*q^2*(q-1)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q-1)^2*(q^2+q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^10*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 3],
[q^6*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, q-4],
[q*(q-1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-4)],
[(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*q*(q^2-5*q+10)],
[q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2, 3/2*q-3],
[q*(q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 3/2*q-6],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2, q-4],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q^2-5/2*q+5],
[q^3*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2, 3/2*q-3],
[q^2*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-4],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-4)^2],
[(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/4*(q-4)^2],
[q*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/2*(q-4)^2],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-4)*(q^2-7*q+18)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^3*(q^2+q+1)^3, 1/2*q*(q-1)],
[q^11*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1), 3],
[q^5*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 3],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[q*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 3*q-12],
[(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-4)*(q-7)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, (q+2)*(q-1)],
[(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/3*(q-1)*(q+2)*(q-4)],
[q^4*(q-1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 3/2*q],
[q^13*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 3],
[q^2*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q*(q-4)],
[q*(q-1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 3/2*q*(q-2)],
[q^4*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 6],
[q*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q*(q-4)],
[(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)*(q-4)],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 3*q-12],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2, q-4],
[q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[q^2*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 3*q-12],
[q^3*(q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, q-4],
[q*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, (q-4)*(q-7)],
[q^4*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 3/2*q-3],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-4)^2],
[q*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/2*(q-4)^2],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-4)^2],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*(q-4)*(q^2-11*q+34)],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q-1)^6, 1/3*(q+2)*(q-1)],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^6, 1/3*(q+2)*(q-1)],
[1/2*q^15*(q^4+q^3+q^2+q+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^4, 3],
[1/2*q^7*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^3*(q-1)^4, q-4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^3*(q-1)^4, 1/6*q^2-5/6*q+5/3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/3*(q+2)*(q-1)],
[1/2*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q*(q-1)],
[1/2*q^15*(q^4+q^3+q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^2-q+1)^2, 3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/3*(q+2)*(q-1)],
[1/2*q^15*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1), 3],
[1/2*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q-1)^2*(q^2+q+1)^3, q*(q-1)],
[1/2*q^15*(q^4+q^3+q^2+q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2, 3],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*q^2-5/6*q+5/3],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^3, q-4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2+q+1)^3, 1/6*q^2-5/6*q+5/3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/6*q^2-5/6*q+5/3],
[(q^2-q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2*(q-1)^5, 1/6*q*(q+2)*(q-1)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/18*(q+2)*(q-1)*(q^2+q-5)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^3*(q-1)^4, 1/2*q*(q-1)],
[(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q-1)^3, 1/6*q*(q+2)*(q-1)^2],
[q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, (q+2)*(q-1)],
[q^2*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 3/2*q],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q*(q+1)*(q-4)],
[q^6*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2, 3/2*q],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^5, 1/6*q*(q-1)*(q^2+q+1)],
[(q^2-q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/6*(q-1)*(q-2)*(q+2)],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^3*(q-1)^4, 1/4*q^3*(q-1)],
[q*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q^2*(q-1)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^3*(q^2+q+1)^3, 1/2*q*(q-1)],
[q*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/3*(q-1)*(q+2)*(q-4)],
[(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q-1)^3*(q^2+q+1)^3, 1/12*q*(q-1)*(q^2-2*q-2)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 3/8*q*(q-1)*(q-2)],
[(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*q^2*(q-1)*(q-2)],
[q^6*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2, 3/2*q],
[q^3*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2, 3/2*q*(q-2)],
[q^6*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 3],
[q^2*(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-4)],
[(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/18*(q+2)*(q-1)*(q^2-5*q+10)],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^6*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2, 3/2*q-3],
[q^3*(q-1)*(q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/2*q*(q-4)],
[q^2*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q*(q-4)],
[q*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)*(q-4)],
[q^4*(q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 3*q-12],
[(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/12*q*(q^2-5*q+10)],
[q*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/4*q*(q^2-5*q+10)],
[(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/12*q*(q-4)*(q^2-5*q+10)],
[q^6*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2, 3/2*q-3],
[q^4*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/2*(q-4)^2],
[q^4*(q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, q-4],
[q^2*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-4)*(2*q-11)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1],
[q^2*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 3/2*q-6],
[q^3*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-4)^2],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-4)^2],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*(q-4)*(q^2-8*q+13)],
[(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/12*(q-4)*(q^2-9*q+32)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/8*(q-4)*(q^2-7*q+18)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/72*(q-4)*(q^3-15*q^2+78*q-172)],
[q^2*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/4*q*(q-4)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^4, 1/48*q*(q-5)*(q+2)*(q-4)],
[q^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 3/2*q],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q*(q+1)*(q-4)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*q*(q-1)*(q-2)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^3*(q^2+q+1)^3, 1/2*q*(q-1)],
[q^2*(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 3/4*q*(q-2)],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q*(q^3-2*q^2-2*q+6)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q*(q-1)],
[q^7*(q-1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^3, 3/2*q],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/16*q*(q-1)*(q-2)^2],
[q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-4)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/2*q*(q-1)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^3*(q-1)^4, 1/6*q*(q-1)*(q-2)*(q+2)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/2*(q+2)*(q-1)],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q-1)^3*(q^2+q+1)^3, 1/4*q^2*(q-1)],
[q^20*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1), 3],
[q*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/3*(q-1)*(q+2)*(q-4)],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^12*(q^2+1)*(q^2-q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2, q-4],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/6*(q-1)*(q^3-2*q^2+10)],
[q^4*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q*(q-4)],
[q^2*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^3*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q*(q-4)],
[q^2*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*q*(q^2-5*q+10)],
[q*(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/4*q*(q^2-5*q+10)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^3*(q^2+q+1)^3, 1/8*q^2*(q-1)*(q-2)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/16*q*(q-1)*(q-2)*(q-4)],
[q^10*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2, q-4],
[q^2*(q-1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 3/4*q*(q-2)],
[q^5*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 3],
[q^7*(q+1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^3, 3/2*q-3],
[q^6*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q^2-5/2*q+5],
[q*(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)*(q-4)],
[q^6*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-4],
[q^5*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[q^4*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 3*q-12],
[(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/8*q*(q-4)*(q^2-5*q+10)],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-4)*(2*q-11)],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-4)^2],
[q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 3/2*q-6],
[q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-4)^2],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-4)*(q^2+q-38)],
[q*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/4*(q-4)*(q^2-9*q+32)],
[q^2*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-4)^2],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/6*(q-4)*(q^2-11*q+34)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/48*(q-4)*(q^3-17*q^2+96*q-236)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^6, 1/6*q*(q-1)*(q^2+q+1)],
[q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q-1)^4, 1/3*(q+2)*(q-1)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/18*(q+2)*(q-1)*(q^2+q-5)],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^3*(q-1)^5, 1/4*q^3*(q-1)],
[(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^5, 1/6*q*(q-1)*(q+1)*(q^2+2)],
[(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/18*(q-1)*(q^4+q^3-2*q^2+6)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^3*(q-1)^4, 1/2*q*(q-1)],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^4, 1/8*q^3*(q-1)^2],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 3/2*q],
[q*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2+q+1)^3*(q-1)^4, 1/12*q*(q-1)*(q^2-2*q-2)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q*(q+1)*(q-4)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^3*(q^2+q+1)^3, 1/48*q*(q^4-6*q^3+7*q^2+6*q+16)],
[(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q^2+q+1)^3*(q-1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q^2*(q-1)],
[q^25*(q^6+q^3+1)*(q^4+1), 3],
[q*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^3, 1/6*q*(q+2)*(q-1)^2],
[q^4*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, (q+2)*(q-1)],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q^3*(q-1)],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/6*q*(q^2-2)*(q-1)^2],
[q^10*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1), 3/2*q],
[q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/3*(q-1)*(q+2)*(q-4)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 3/8*q*(q-1)*(q-2)],
[q^6*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q*(q-4)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/8*q*(q-1)*(q-2)^2],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/8*q^2*(q-1)*(q-2)*(q+1)],
[q^2*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/3*(q-1)*(q+2)*(q-4)],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/4*q*(q-1)*(q-2)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/24*(q-1)*(11*q^3-22*q^2+80)],
[q^6*(q-1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-4)],
[q^13*(q^4+q^3+q^2+q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[q^10*(q+1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[q^4*(q-1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 3/2*q*(q-2)],
[q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 3],
[(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/16*q*(q-1)*(q-2)*(q^2-3*q-2)],
[q^4*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q*(q-4)],
[q^3*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)*(q-4)],
[q^6*(q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 3/2*q-6],
[q^2*(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/4*q*(q^2-5*q+10)],
[q*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/18*(q+2)*(q-1)*(q^2-5*q+10)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/18*(q-1)*(q-4)*(q^3-q^2+6)],
[q^10*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1), 3/2*q-3],
[q^3*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/4*q*(q^2-5*q+10)],
[q^2*(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)*(q-4)],
[q^7*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-4],
[q^6*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-4)^2],
[q^5*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 3*q-12],
[q*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/4*q*(q-4)*(q^2-5*q+10)],
[q^7*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2+q+1)^2, 1/6*q^2-5/6*q+5/3],
[q^4*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, (q-4)*(q-7)],
[q*(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/12*q*(q-4)*(q^2-5*q+10)],
[q^6*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/2*(q-4)^2],
[q^4*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/2*(q-4)^2],
[(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/48*q*(q-4)*(q^3-10*q^2+31*q-46)],
[q^4*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-4)^2],
[q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*(q-4)*(q^2-8*q+13)],
[q^2*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/4*(q-4)*(q^2-9*q+32)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/8*(q-4)*(q^2-7*q+18)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/6*(q-4)*(q^2-11*q+34)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/24*(q-4)*(q^3-17*q^2+96*q-236)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^4, 1/72*(q-4)*(q^3-15*q^2+78*q-172)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q^2+q+1)^3, 1/720*(q-4)*(q^4-26*q^3+241*q^2-996*q+1980)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4*(q-1)^6, 1/648*(q+2)*(q-1)*(q^4+2*q^3-6*q^2-7*q+28)],
[(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^6, 1/36*q*(q-1)*(q^4+q^2-3*q-8)],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2*(q-1)^5, 1/6*q*(q+2)*(q-1)],
[(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q-1)^5, 1/36*q*(q-1)*(q^4+2*q^3+q^2-3*q-4)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/18*(q+2)*(q-1)*(q^2+q-5)],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^5, 1/96*q^3*(q-2)*(q-1)^2],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^4, 1/4*q*(q-4)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^4, 1/48*q*(q-5)*(q+2)*(q-4)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3*(q-1)^4, 1/1152*q*(q-4)*(q^4-6*q^3+q^2+24*q+76)],
[q*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^5, 1/6*q*(q-1)*(q+1)*(q^2+2)],
[(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q^2+q+1)^3*(q-1)^5, 1/10*q^2*(q-1)*(q+1)*(q^2+1)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^4*(q-1)^6, 1/12*q^2*(q-1)*(q+1)*(q^2+q+1)],
[q^12*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q-1)^4, 1/3*(q+2)*(q-1)],
[q*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/18*(q-1)*(q^4+q^3-2*q^2+6)],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^4, 1/8*q^3*(q-1)^2],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 3/2*q],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/24*q^3*(q+1)*(q-1)^2],
[q^15*(q-1)*(q^2-q+1)*(q^2+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1), 3/2*q],
[q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q-1)^3, 1/6*q*(q+2)*(q-1)^2],
[q^6*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/2*(q+2)*(q-1)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q*(q+1)*(q-4)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*q*(q-1)*(q-2)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^3*(q^2+q+1)^3, 1/48*q*(q^4-6*q^3+7*q^2+6*q+16)],
[(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3*(q+1)^4*(q-1)^6, 1/9*(q-1)*(q^3+2)*(q^2+q+1)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^5, 1/6*q*(q-1)*(q^2+q+1)],
[(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2+q+1)^2*(q+1)^3*(q-1)^5, 1/12*q*(q-1)*(q-2)*(q^3+2*q^2+3*q+3)],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/6*(q-1)*(q-2)*(q+2)],
[(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/108*(q-1)*(q^5-2*q^4-5*q^3-7*q^2+2*q+20)],
[q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^3*(q-1)^4, 1/4*q^3*(q-1)],
[(q^4+q^3+q^2+q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q^2+q+1)^3*(q-1)^5, 1/8*q^4*(q-1)*(q+1)],
[q*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q^2+q+1)^3*(q-1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^36, 3],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^4, 1/16*q^3*(q-1)*(q-2)*(q+1)],
[q^6*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 3/4*q*(q-2)],
[q^5*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^3*(q^2+q+1)^3, 1/2*q*(q-1)],
[q^12*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q*(q^3-2*q^2-2*q+6)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/6*q*(q^2-2)*(q-1)^2],
[q^10*(q-1)*(q+1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q*(q-4)],
[q^4*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/3*(q-1)*(q+2)*(q-4)],
[q^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q-1)^3*(q^2+q+1)^3, 1/12*q*(q-1)*(q^2-2*q-2)],
[(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^3*(q^2+q+1)^3, 1/96*q*(q-2)*(q^4-2*q^3-5*q^2+6*q+24)],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*q^2*(q-1)*(q-2)],
[q^7*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q*(q-4)],
[q^6*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2, 3/4*q*(q-2)],
[q^9*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 1],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/16*q*(q-1)*(q-2)^2],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2+q+1)^2*(q+1)^4*(q-1)^6, 1/72*q*(q+2)*(q-1)*(q^3-2*q^2+2*q-7)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^3*(q^2+q+1)^3*(q-1)^5, 1/12*q^3*(q+1)*(q-1)^2],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/2*q*(q-1)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^3*(q-1)^4, 1/6*q*(q-1)*(q-2)*(q+2)],
[q^6*(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q-1)^3*(q^2+q+1)^3, 1/4*q^2*(q-1)],
[(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3*(q-1)^4*(q+1)^4, 1/10*q*(q-1)*(q-2)*(q+1)*(q^2+1)],
[(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^3*(q-1)^4, 1/36*q*(q-1)*(q^4-5*q^2+10)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/8*q^2*(q-1)*(q-2)*(q+1)],
[q^20*(q^2-q+1)*(q^6+q^3+1)*(q^4-q^2+1)*(q^2+q+1)^2, q-4],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3*(q+1)^3, 1/36*q*(q^2-2*q-4)*(q-1)^3],
[q^15*(q+1)*(q^2-q+1)*(q^2+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1), 3/2*q-3],
[q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/18*(q+2)*(q-1)*(q^2-5*q+10)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q-1)^2*(q^2+q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/6*(q-1)*(q^3-2*q^2+10)],
[q^6*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*q*(q^2-5*q+10)],
[q^11*(q+1)*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-4],
[q*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/16*q*(q-1)*(q-2)*(q^2-3*q-2)],
[q^4*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)*(q-4)],
[q^7*(q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 3/2*q-6],
[q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/12*q*(q^2-5*q+10)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^4*(q+1)^4, 1/96*q^2*(q-2)*(q+2)*(q-1)^2],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^3*(q^2+q+1)^3, 1/8*q^2*(q-1)*(q-2)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^3*(q^2+q+1)^3, 1/32*q^2*(q-1)*(q-2)*(q^2-q-4)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/16*q*(q-1)*(q-2)*(q-4)],
[q^12*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6+q^3+1)*(q^2+q+1)^2, 1/6*q^2-5/6*q+5/3],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/18*(q-1)*(q-4)*(q^3-q^2+6)],
[q^10*(q^2+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-4)^2],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/192*q*(q-1)*(q-2)*(q-4)*(q^2-3*q-6)],
[q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/12*q*(q-4)*(q^2-5*q+10)],
[q^7*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-4)^2],
[q^6*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/4*(q-4)^2],
[q^2*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/8*q*(q-4)*(q^2-5*q+10)],
[q^5*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-4)*(q-7)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^4, 1/216*(q-1)*(q^5-8*q^4+19*q^3-4*q^2-28*q+56)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-4)*(q^2-7*q+18)],
[q*(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/48*q*(q-4)*(q^3-10*q^2+31*q-46)],
[q^4*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*(q-4)*(q^2-11*q+34)],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/12*(q-4)*(q^2-9*q+32)],
[(q-1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q^2+q+1)^3, 1/1440*q*(q-4)*(q^4-16*q^3+91*q^2-216*q+260)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/72*(q-4)*(q^3-15*q^2+78*q-172)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/48*(q-4)*(q^3-17*q^2+96*q-236)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3*(q^2+q+1)^3, 1/720*(q-4)*(q^4-26*q^3+241*q^2-996*q+1980)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3*(q+1)^4, 1/51840*(q-4)*(q-10)*(q^2-5*q+16)*(q^2-23*q+142)]
];