DegreesAndMultiplicitiesD6ad_3mod4 := [
[1, 4],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+1), 4],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, q-1],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 4],
[(q^2-q+1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2, q-3],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 4],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 2*q-2],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 8],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 2*q-6],
[(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2],
[1/2*q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 4],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2, 4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2, 4],
[1/2*q^3*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q+1)^4, 4],
[q*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, q-1],
[(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2*q-2],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 4],
[(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2*q-6],
[q*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q^2-q+1)^2, q-3],
[(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2, 1/4*(q-1)*(q-3)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, q-1],
[q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2*q-2],
[(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q+1)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2, 1],
[(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2, 1/2*(q-1)^2],
[(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 1/2*(q-1)*(q-3)],
[q^6*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 4],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, q-3],
[q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2*q-6],
[(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q+1)^2, 1/4*(q-3)*(q-5)],
[1/2*q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q-1)^4, 4],
[1/2*q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2, 4],
[1/2*q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q+1)^4, 4],
[1/2*q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2, 4],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 1/2*(q-1)*(q-3)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 2*q-2],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2, q-1],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q+1)^2, q-3],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 2*q-6],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 1/2*(q-3)*(q-5)],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q-1)^3, q-3],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 2],
[q^5*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 4],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q+1)^3, q-3],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2, 1/2*q+1/2],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 5/2*q-7/2],
[q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-2],
[q^2*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2, 2],
[q^6*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 4],
[q^6*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 4],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 4],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2, 1/2*q-3/2],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 5/2*q-15/2],
[q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2, q-1],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 4],
[1/2*q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, q-3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, q-1],
[1/2*q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2, q-1],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2, 4],
[1/2*q^3*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4, q-1],
[1/2*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, q-3],
[1/2*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2, 4],
[1/2*q^3*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, q-3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2, q-3],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q-1)^4, q-3],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3, 3/2*q^2-6*q+13/2],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 2*q-2],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/4*(q-1)*(q-3)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 2],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 5*q-7],
[q^2*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6*q-6],
[q^2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-2],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q+1)],
[q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, 1/2*(q-1)^2],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 3/2*(q-1)*(q-3)],
[(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/2*(q-1)*(q-3)],
[q^7*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 8],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 12],
[q^3*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2],
[q^2*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6*q-18],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 5*q-15],
[q^2*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q+1)^4, q-3],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 2*q-6],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^3, 3/2*(q-3)*(q-5)],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/4*(q-3)*(q-5)],
[q*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/2*(q-1)*(q-3)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 1/6*q^3-9/8*q^2+37/12*q-21/8],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/4*(q-3)^2],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 2*q-2],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3, 1/2*(q-1)*(3*q-7)],
[q^4*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2, q-1],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/4*q^2-3*q+13/4],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/4*q*(q-1)*(q+1)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2, 1/2*q+1/2],
[q^3*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q-1)^3, 3*q-5],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)*(2*q^2-5*q+5)],
[q^6*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, q-1],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2, 1/8*(q-3)*(2*q^2-3*q+3)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 5/2*q-7/2],
[q^3*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6*q-6],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/3*q*(q-1)*(q+1)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q+1)],
[(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q-3)],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4, 1/3*q*(q-1)*(q+1)],
[q^6*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2, 2],
[q^12*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 4],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 3/2*(q-1)*(q-3)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-1)^2],
[q^2*(q-1)*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q^8*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 4],
[q*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q^8*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 4],
[q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^3, 1/4*(q-1)*(q-2)*(q+1)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2, 1/2*q-3/2],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2, 1/8*(2*q-1)*(q-3)^2],
[q^6*(q^4-q^3+q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, q-3],
[(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^3, 1/4*(q-1)*(2*q^2-9*q+13)],
[q^3*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q+1)^3, 3*q-9],
[q^3*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6*q-18],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 5/2*q-15/2],
[q^4*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q+1)^2, q-3],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/4*(q-3)*(q-5)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 2*q-6],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^3, 1/2*(q-3)*(3*q-13)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-3)*(q-7)],
[q*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/2*(q-3)*(q-5)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 1/24*(q-3)*(4*q^2-39*q+113)],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 2],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2, 2],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2, 2],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 2],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*(q-2)*(q-3)],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5/2*q-7/2],
[q^5*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, q-1],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, q-3],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 2],
[(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q-1/2],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*q^2-3/2*q+2],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, q-1],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^3, 1/2*q*(q-3)],
[q^9*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 4],
[q^5*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, q-3],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, q-3],
[(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q-3/2],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5/2*q-15/2],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/2*(q-3)*(q-6)],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^5, 2*q-2],
[1/2*q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 4],
[1/2*q^10*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q-1)^4, 4],
[1/2*q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 2*q-6],
[1/2*q^10*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2, 4],
[1/2*q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2, 2*q-2],
[1/2*q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2, 4],
[1/2*q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2, 2*q-2],
[1/2*q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2, 2*q-6],
[1/2*q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2, 4],
[1/2*q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 2*q-2],
[1/2*q^10*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q+1)^4, 4],
[1/2*q^10*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2, 4],
[1/2*q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2, 2*q-6],
[1/2*q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^5, 2*q-6],
[q^4*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^6, 2*q-2],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/2*(q-3)^2],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 1/2*(q+1)*(q-3)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/4*(q-3)^3],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 3/2*q^2-6*q+13/2],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/16*(q+1)*(q-3)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3, q-3],
[q^6*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2, q-1],
[q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 2],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, (q-2)*(q-3)],
[q^2*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5*q-7],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/16*(9*q-11)*(q-3)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2, 1/2*q+1/2],
[(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)*(q-3)^2],
[q*(q+1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2, 5/2*q-7/2],
[q*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5/2*q-5/2],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 11/8*(q-1)*(q+1)],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*(q-1)*(5*q-7)],
[q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2, 1],
[q^6*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6],
[(q-1)*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 9/8*(q-1)*(q-3)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2, 1/2*q-3/2],
[q*(q-1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/4*(q-5)*(q-1)*(q-3)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 5/2*q-15/2],
[q*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5/2*q-15/2],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/16*(q-3)^2],
[q^6*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q+1)^2, q-3],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^3, q-3],
[q^2*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5*q-15],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, (q-3)*(q-6)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/16*(q-3)*(9*q-47)],
[q^4*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 2*q-6],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 1/2*(q-3)^2],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/2*(q-3)*(q-7)],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 3/2*(q-3)*(q-5)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-3)*(q^2-12*q+39)],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^6, 1/4*(q-1)*(q-3)],
[1/2*q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^5, 2*q-2],
[1/2*q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^5, 1/2*(q-1)*(q-3)],
[1/2*q^5*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 2],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2, q-1],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/4*(q-1)*(q-3)],
[1/2*q^13*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 4],
[1/2*q^4*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 2*q-6],
[1/2*q^4*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2, 2*q-2],
[1/2*q^7*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, q-3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/4*(q-3)*(q-5)],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^3, (q-1)*(q+1)],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, q-1],
[1/2*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2, (q-1)^2],
[1/2*q^7*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2, q-1],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/4*(q-1)*(q-3)],
[1/2*q^3*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2, 1/2*(q-1)*(q-3)],
[1/2*q^5*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2, 2],
[1/2*q^13*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2, 4],
[1/2*q^13*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2, 4],
[1/2*q^4*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2, 2*q-2],
[1/2*q^4*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2, 2*q-6],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^3, (q-1)*(q+1)],
[1/2*q^7*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4, q-1],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4, 1/4*(q-1)*(q-3)],
[1/2*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2, (q-1)^2],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, q-3],
[1/2*q^3*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2, 1/2*(q-1)*(q-3)],
[1/2*q^7*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, q-3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/4*(q-3)*(q-5)],
[1/2*q^5*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2, 2],
[1/2*q^13*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q+1)^4, 4],
[1/2*q^4*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 2*q-2],
[1/2*q^4*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2, 2*q-6],
[1/2*q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^5, 1/2*(q-1)*(q-3)],
[1/2*q^5*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 2],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2, q-3],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/4*(q-3)*(q-5)],
[1/2*q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^5, 2*q-6],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^6, 1/4*(q-3)*(q-5)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/48*(q-3)*(q^3-7*q^2+29*q-35)],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/6*q^3-9/8*q^2+37/12*q-21/8],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/4*(q-3)*(q^2-4*q+5)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/2*(q-1)*(q-3)],
[q^2*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 3/2*q^2-6*q+13/2],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/24*(q-3)*(5*q^2-30*q+37)],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/2*(q-1)*(q-3)],
[(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/8*(q^2-2*q+5)*(q-1)^2],
[q^6*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 2*q-2],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3, q-3],
[q*(q+1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/4*(q-1)*(2*q^2-5*q+5)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 2*q^2-17/2*q+19/2],
[q^3*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5*q-7],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*(9*q-11)*(q-3)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^4, 3/4*(q+1)*(q-1)^2],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/6*q*(q+1)*(q-1)^2],
[q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/3*q^3+1/2*q^2-11/6*q+2],
[q^6*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q-1)^3, 3*q-5],
[q^7*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 2],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 3/4*q^3-11/4*q^2+15/4*q-11/4],
[q*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)*(q-3)^2],
[q^5*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 2],
[q^2*(q+1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q^6*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6*q-6],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2, 5*q-7],
[(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/8*(5*q-11)*(q-1)*(q-3)],
[q^2*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5*q-5],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4*(q-1)^5, 2/3*q*(q-1)*(q+1)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4*(q+1)^5, 2/3*q*(q-1)*(q+1)],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q+1)^3*(q-1)^4, 1/8*(q+1)*(q-1)^3],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q+4)*(q+1)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^4, 1/8*(q-1)*(q-3)*(q+1)^2],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*q^2-3/2*q+2],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 2*q-2],
[q^15*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 8],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^3, 1/2*q*(q-3)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/16*(q-3)*(q^3-3*q^2+5*q+1)],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*(q-1)*(2*q^2+q-5)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/16*(q^2+1)*(q-3)^2],
[q^2*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2, 3/2*(q-1)*(q-3)],
[q^7*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 12],
[q^2*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 3/2*(q-1)*(q-3)],
[q*(q-1)*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 9/2*(q-1)*(q-3)],
[q^7*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^4, 3/4*(q-1)*(q-3)*(q+1)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4, 1/6*q*(2*q^2+3*q-11)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/6*q*(q-1)*(q-3)*(q+1)],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/4*(q-3)*(3*q^2-8*q+3)],
[q^6*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q+1)^3, 3*q-9],
[q^2*(q-1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q^6*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6*q-18],
[q*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/4*(q-5)*(q-1)*(q-3)],
[(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/8*(q-1)*(5*q-21)*(q-3)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 5*q-15],
[q^2*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5*q-15],
[q*(q-1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/4*(q-1)*(2*q^2-9*q+13)],
[(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/8*(q-1)*(q-3)*(q^2-4*q+7)],
[q^6*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 2*q-6],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^3, q-3],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/2*(q-3)*(q-5)],
[q^3*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5*q-15],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/2*(q-3)*(4*q-21)],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*(q-3)*(9*q-47)],
[q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/2*(q-3)*(q-5)],
[q^2*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 3/2*(q-3)*(q-5)],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-3)*(q^2-10*q+27)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/24*(q-3)*(5*q^2-60*q+187)],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/24*(q-3)*(4*q^2-39*q+113)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/48*(q-3)*(q^3-15*q^2+89*q-207)],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^6, 1/4*(q-3)^2],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/4*(q-3)^3],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/192*(q-3)*(7*q^3-75*q^2+293*q-345)],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 1/2*(q+1)*(q-3)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/6*q^3-1/8*q^2-23/12*q+27/8],
[q^3*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 3/2*q^2-6*q+13/2],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/8*(q-3)*(5*q^2-30*q+37)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^5, 1/8*(q+1)*(q-1)^3],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/8*(q+1)*(q-3)],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/12*q^4-5/12*q^3+19/24*q^2-5/6*q+7/8],
[q^10*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2, q-1],
[q*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/4*(q-1)*(q-3)^2],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 2*q-2],
[q^6*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/4*q^2-3*q+13/4],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 2*q^2-17/2*q+19/2],
[(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/16*(q-1)*(3*q^3-19*q^2+53*q-53)],
[q^4*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5*q-7],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/8*(9*q-11)*(q-3)],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^4, 3/4*(q+1)*(q-1)^2],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/6*q^2*(q-1)*(q+1)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/4*q*(q-1)*(q+1)],
[q^6*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2, 1/2*q+1/2],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/6*q^2*(q-1)*(q+1)],
[q^12*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, q-1],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 3/4*q^3-11/4*q^2+15/4*q-11/4],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2, 1/2*q+1/2],
[q^5*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, q-3],
[q^2*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)*(2*q^2-5*q+5)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 5/2*q-7/2],
[q^3*(q+1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q^7*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6*q-6],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/8*(q-3)*(2*q^2-3*q+3)],
[q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2, 5/2*q-7/2],
[q*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/8*(5*q-11)*(q-1)*(q-3)],
[q^7*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-2],
[q^3*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5*q-5],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^5*(q+1)^5, 1/4*(q-1)*(q+1)*(q^2+1)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/16*(q-1)*(q+1)*(5*q^2-12*q-1)],
[q^6*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q+1)],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 11/4*(q-1)*(q+1)],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/3*q*(q-1)*(q+1)],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*q^2-3/2*q+2],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q-3)],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/8*(q-1)*(5*q^3-7*q^2-5*q-1)],
[q^20*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 4],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^3, 1/2*q*(q-3)],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/3*q*(q-1)*(q+1)],
[q^8*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2, 2],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-1)^2],
[q^2*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-1)*(5*q-7)],
[q^16*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 4],
[q^6*(q-1)*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q^12*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2, 3/2*(q-1)*(q-3)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/32*(q-1)*(q-3)*(9*q^2-32*q+27)],
[q^8*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6],
[q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 3/2*(q-1)*(q-3)],
[q^2*(q-1)*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 27/4*(q-1)*(q-3)],
[q^8*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 4],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 1/6*q*(q-1)*(q-2)*(q+1)],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^4, 3/4*(q-1)*(q-3)*(q+1)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^3, 1/4*(q-1)*(q-2)*(q+1)],
[q^6*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2, 1/2*q-3/2],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2, 1/2*q-3/2],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/4*(q-3)*(3*q^2-8*q+3)],
[q^12*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, q-3],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/8*(2*q-1)*(q-3)^2],
[q^3*(q-1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q^7*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2, 6*q-18],
[q^2*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/4*(q-1)*(2*q^2-9*q+13)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 5/2*q-15/2],
[q^5*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, q-3],
[q*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/8*(q-1)*(5*q-21)*(q-3)],
[q^7*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 5/2*q-15/2],
[q^3*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5*q-15],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^5, 1/8*(q-1)*(q+1)*(q-3)^2],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/8*(q-3)^2],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/24*(2*q^2-6*q+1)*(q-3)^2],
[q^10*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q+1)^2, q-3],
[q^7*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 2*q-6],
[q^6*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/4*(q-3)*(q-5)],
[q*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-5)*(q-1)*(q-3)],
[(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/16*(q-1)*(q-3)*(3*q^2-22*q+51)],
[q^4*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5*q-15],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/2*(q-3)*(4*q-21)],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/8*(q-3)*(9*q-47)],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 1/2*(q-3)^2],
[q^3*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 3/2*(q-3)*(q-5)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/24*(q-3)*(4*q^2-15*q-31)],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/8*(q-3)*(5*q^2-60*q+187)],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 1/4*(q-3)*(q-7)],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/4*(q-3)*(q^2-12*q+39)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/192*(q-3)*(q-7)*(7*q^2-82*q+295)],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^6, 1/48*(q-3)*(q^3-7*q^2+29*q-35)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^5, 1/384*(q-3)*(q^4-14*q^3+84*q^2-274*q+299)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/4*(q-3)^3],
[q^3*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/6*q^3-9/8*q^2+37/12*q-21/8],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/96*(q-3)*(7*q^3-75*q^2+293*q-345)],
[q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/2*(q-3)^2],
[q^6*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/2*(q-1)*(q-3)],
[q*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/8*(q^2-2*q+5)*(q-1)^2],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/4*(q-3)*(q^2-4*q+5)],
[(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/384*(q-1)*(q-3)*(13*q^3-43*q^2+139*q-141)],
[q^4*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 3/2*q^2-6*q+13/2],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/8*(q-3)*(5*q^2-30*q+37)],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^6, 1/6*q*(q+1)*(q-1)^2],
[q^7*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q-1)^4, q-3],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/12*q*(q+1)*(q-1)^3],
[q^10*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 2*q-2],
[q^2*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/4*(q-1)*(q-3)^2],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3, 1/2*(q-1)*(3*q-7)],
[q^3*(q+1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/4*(q-1)*(2*q^2-5*q+5)],
[q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, (q-2)*(q-3)],
[q*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/8*(q-1)*(3*q^3-19*q^2+53*q-53)],
[q^7*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/4*(q-1)*(q-3)],
[q^5*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5/2*q-7/2],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*(9*q-11)*(q-3)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4*(q-1)^5, 1/32*(q+3)*(q-3)*(q+1)*(q-1)^2],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q+1)^3*(q-1)^5, 1/8*(q+1)*(q-1)^3],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^4, 3/4*(q+1)*(q-1)^2],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/3*q^3+1/2*q^2-11/6*q+2],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^4, 1/16*(q+1)*(3*q^2-2*q-7)*(q-1)^2],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 19/48*q^4-3/8*q^3+13/24*q^2-7/8*q-3/16],
[q^13*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, q-1],
[q^9*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 2],
[q^2*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 3/4*q^3-11/4*q^2+15/4*q-11/4],
[q^12*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2*q-2],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)*(q-3)^2],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 5*q-7],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/64*(q-3)*(5*q^4-14*q^3+24*q^2-26*q-5)],
[q^4*(q+1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q^2*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/8*(5*q-11)*(q-1)*(q-3)],
[q^8*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-2],
[q^4*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5/2*q-5/2],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/8*(q-1)*(q+3)*(q-3)*(q+1)],
[q^7*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q+1)],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q+4)*(q+1)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q+1)^3*(q-1)^4, 1/12*q*(q-1)*(q-3)*(q+1)^2],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/4*(q-1)*(q+1)*(3*q^2-2*q-7)],
[q^7*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, 1/2*(q-1)^2],
[q^5*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, q-1],
[q^21*(q^4+1)*(q^2+q+1)*(q^2-q+1), 4],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/12*q*(q+1)*(q-1)^3],
[q^6*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 3/2*(q-1)*(q-3)],
[q^3*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*(q-1)*(2*q^2+q-5)],
[q^13*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 4],
[q^6*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/16*(q-1)*(q-3)*(9*q^2-32*q+27)],
[q^7*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/2*(q-1)*(q-3)],
[q^3*(q-1)*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 9/2*(q-1)*(q-3)],
[q^9*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^5, 1/32*(q-1)*(q+3)*(q+1)*(q-3)^2],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^4, 3/4*(q-1)*(q-3)*(q+1)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^5, 1/8*(q-1)*(q-3)*(q+1)^2],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^4, 1/16*(q-1)*(q-3)*(q+1)*(3*q^2-2*q-11)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4, 1/6*q*(2*q^2+3*q-11)],
[q^2*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/4*(q-3)*(3*q^2-8*q+3)],
[q^12*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2*q-6],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 19/48*q^4-25/24*q^3+7/24*q^2+7/24*q+9/16],
[q^13*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q^2-q+1)^2, q-3],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 5/64*q^5-39/64*q^4+57/32*q^3-67/32*q^2+57/64*q-35/64],
[q^4*(q-1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/4*(q-5)*(q-1)*(q-3)],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 5*q-15],
[q^2*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/8*(q-1)*(5*q-21)*(q-3)],
[q^8*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[q^4*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5/2*q-15/2],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 1/6*q*(q-1)*(q-3)*(q+1)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/12*q*(q-1)*(q+1)*(q-3)^2],
[q^10*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 2*q-6],
[q^7*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q+1)^4, q-3],
[q^3*(q-1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/4*(q-1)*(2*q^2-9*q+13)],
[q^2*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-5)*(q-1)*(q-3)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^3, 1/2*(q-3)*(3*q-13)],
[q*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/8*(q-1)*(q-3)*(3*q^2-22*q+51)],
[q^7*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/4*(q-3)*(q-5)],
[q^5*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5/2*q-15/2],
[q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, (q-3)*(q-6)],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*(q-3)*(9*q-47)],
[q*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/8*(q-1)*(q-3)*(q^2-4*q+7)],
[q^6*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/2*(q-3)*(q-5)],
[q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/2*(q-3)*(q-7)],
[(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/384*(q-1)*(q-3)*(13*q^3-121*q^2+419*q-647)],
[q^4*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 3/2*(q-3)*(q-5)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-3)*(q^2-10*q+27)],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/8*(q-3)*(5*q^2-60*q+187)],
[q^3*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/24*(q-3)*(4*q^2-39*q+113)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/4*(q-3)*(q^2-12*q+39)],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/96*(q-3)*(q-7)*(7*q^2-82*q+295)],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 1/48*(q-3)*(q^3-15*q^2+89*q-207)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^5, 1/384*(q-3)*(q-7)*(q^3-17*q^2+111*q-303)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^6, 1/23040*(q-3)*(q-7)*(q^4-14*q^3+74*q^2-286*q+345)],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^5, 1/384*(q-3)*(q^4-14*q^3+84*q^2-274*q+299)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/48*(q-3)*(q^3-7*q^2+29*q-35)],
[(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^5, 1/768*(q-3)*(q^3-5*q^2+11*q-31)*(q-1)^2],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/192*(q-3)*(7*q^3-75*q^2+293*q-345)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^6, 1/144*q*(q+1)*(q^2-2*q+3)*(q-1)^2],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 1/6*q^3-9/8*q^2+37/12*q-21/8],
[q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/4*(q-3)^3],
[q*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/384*(q-1)*(q-3)*(13*q^3-43*q^2+139*q-141)],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/24*(q-3)*(5*q^2-30*q+37)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4*(q-1)^6, 1/128*(q+1)*(q^3+q^2-3*q+5)*(q-1)^2],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^5, 1/8*(q+1)*(q-1)^3],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^5, 1/192*(q-1)*(q+1)*(7*q^4-4*q^3+2*q^2+28*q-9)],
[q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/16*(q+1)*(q-3)],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/12*q*(q+1)*(q-1)^3],
[q^10*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 1/2*(q-1)*(q-3)],
[q^2*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/12*q^4-5/12*q^3+19/24*q^2-5/6*q+7/8],
[q^12*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2, 1/4*(q-1)*(q-3)],
[q^6*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/4*(q-3)^2],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/8*(q^2-2*q+5)*(q-1)^2],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3, 3/2*q^2-6*q+13/2],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/1536*(q+1)*(q-3)*(13*q^4-34*q^3+54*q^2-74*q+113)],
[q^5*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*(q-2)*(q-3)],
[q^2*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/16*(q-1)*(3*q^3-19*q^2+53*q-53)],
[q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/16*(9*q-11)*(q-3)],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4*(q-1)^5, 1/32*(q+3)*(q-3)*(q+1)*(q-1)^2],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q-1)^5*(q+1)^5, 1/24*q*(q-1)^2*(q+1)^3],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4*(q-1)^6, 1/10*q*(q-1)*(q^2+1)*(q+1)^2],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^4, 3/4*(q+1)*(q-1)^2],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/6*q^2*(q-1)*(q+1)],
[q^6*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/4*q*(q-1)*(q+1)],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^5, 1/6*q*(q+1)*(q-1)^2],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q+1)^3*(q-1)^5, 1/24*q*(q+1)^2*(q-1)^3],
[q^15*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 2*q-2],
[q^20*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, q-1],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^4, 1/16*(q+1)*(3*q^2-2*q-7)*(q-1)^2],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/48*q*(q-1)*(q^2-2*q-1)*(q+1)^2],
[q^8*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2, 1/2*q+1/2],
[q^9*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q-1)^3, q-3],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/6*q^2*(q-1)*(q+1)],
[q^6*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)*(2*q^2-5*q+5)],
[q^3*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 3/4*q^3-11/4*q^2+15/4*q-11/4],
[q^13*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2*q-2],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2, 1/8*(q-3)*(2*q^2-3*q+3)],
[q^4*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)*(q-3)^2],
[q^8*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 5/2*q-7/2],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/64*(q-3)*(5*q^4-14*q^3+24*q^2-26*q-5)],
[q^3*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/8*(5*q-11)*(q-1)*(q-3)],
[q^5*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q-1/2],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^6*(q+1)^6, 1/16*(q^2+1)*(q-1)^2*(q+1)^2],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^5*(q+1)^5, 1/64*(q+1)*(q^3-q^2-5*q+13)*(q-1)^2],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q+1)^4*(q-1)^6, 1/36*q*(q-1)*(q+1)*(q^3-q-12)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4*(q-1)^5, 2/3*q*(q-1)*(q+1)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^5*(q+1)^5, 1/4*(q-1)*(q+1)*(q^2+1)],
[(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^5*(q+1)^5, 1/6*q*(q-1)*(q+1)*(q^3+q-4)],
[q^12*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q+1)],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/16*(q-1)*(q+1)*(5*q^2-12*q-1)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4*(q+1)^5, 2/3*q*(q-1)*(q+1)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^6, 1/36*q*(q-1)*(q+1)*(q^3-q-12)],
[q^6*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/3*q*(q-1)*(q+1)],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q+1)^3*(q-1)^4, 1/8*(q+1)*(q-1)^3],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^5*(q+1)^5, 1/16*(q-1)*(q+1)*(q^2+1)*(q^2-3)],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/32*(q+1)*(3*q^3-3*q^2-5*q+13)*(q-1)^2],
[q^6*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q-3)],
[q^30, 4],
[q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 11/8*(q-1)*(q+1)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^4, 1/8*(q-1)*(q-3)*(q+1)^2],
[q^6*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4, 1/3*q*(q-1)*(q+1)],
[q^12*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2, 1],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q+1)^3*(q-1)^4, 1/12*q*(q-1)*(q-3)*(q+1)^2],
[q^5*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*q^2-3/2*q+2],
[q^12*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2, 1/2*(q-1)^2],
[q^2*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/8*(q-1)*(5*q^3-7*q^2-5*q-1)],
[q^12*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 1/2*(q-1)*(q-3)],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/12*q*(q+1)*(q-1)^3],
[q^5*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^3, 1/2*q*(q-3)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/16*(q-3)*(q^3-3*q^2+5*q+1)],
[q^7*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 3/2*(q-1)*(q-3)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/384*(q-1)*(q-3)*(q+1)*(5*q^3-15*q^2-13*q+31)],
[q^4*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*(q-1)*(5*q-7)],
[q^14*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/16*(q^2+1)*(q-3)^2],
[q^7*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 3/2*(q-1)*(q-3)],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/32*(q-1)*(q-3)*(9*q^2-32*q+27)],
[q^4*(q-1)*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 9/8*(q-1)*(q-3)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^5*(q+1)^5, 1/24*q*(q+1)^2*(q-1)^3],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^5, 1/32*(q-1)*(q+3)*(q+1)*(q-3)^2],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^6*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^3, 1/4*(q-1)*(q-2)*(q+1)],
[(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^6, 1/10*q*(q+1)*(q^2+1)*(q-1)^2],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^4, 3/4*(q-1)*(q-3)*(q+1)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 1/48*q*(q-1)*(q+1)*(q^3-3*q^2-3*q+13)],
[q^8*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2, 1/2*q-3/2],
[q*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^4, 1/16*(q-1)*(q-3)*(q+1)*(3*q^2-2*q-11)],
[q^20*(q^2-q+1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2, q-3],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^5, 1/24*q*(q+1)*(q-1)^4],
[q^15*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 2*q-6],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/6*q*(q-1)*(q-3)*(q+1)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2, 1/8*(2*q-1)*(q-3)^2],
[q^3*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/4*(q-3)*(3*q^2-8*q+3)],
[q^13*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 2*q-6],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^6*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^3, 1/4*(q-1)*(2*q^2-9*q+13)],
[q^9*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q+1)^3, q-3],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 5/64*q^5-39/64*q^4+57/32*q^3-67/32*q^2+57/64*q-35/64],
[q^4*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/4*(q-5)*(q-1)*(q-3)],
[q^8*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 5/2*q-15/2],
[q^3*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/8*(q-1)*(5*q-21)*(q-3)],
[q^5*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q-3/2],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^6, 1/128*(q-1)*(q+1)*(q^4-4*q^3+28*q-41)],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^5, 1/8*(q-1)*(q+1)*(q-3)^2],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^5, 1/192*(q-1)*(q+1)*(7*q^4-32*q^3+38*q^2+80*q-165)],
[q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/16*(q-3)^2],
[q^2*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/24*(2*q^2-6*q+1)*(q-3)^2],
[q^12*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q+1)^2, 1/4*(q-3)*(q-5)],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/12*q*(q-1)*(q+1)*(q-3)^2],
[q^10*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 1/2*(q-3)*(q-5)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/1536*(q+1)*(q-3)*(13*q^4-86*q^3+226*q^2-214*q-11)],
[q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/8*(q-1)*(q-3)*(q^2-4*q+7)],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^3, 3/2*(q-3)*(q-5)],
[q^6*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-3)*(q-7)],
[q^2*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/16*(q-1)*(q-3)*(3*q^2-22*q+51)],
[q^5*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/2*(q-3)*(q-6)],
[q^4*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/16*(q-3)*(9*q-47)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 1/144*q*(q-1)*(q-3)*(q+1)*(q^2-6*q+11)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^4, 1/24*(q-3)*(4*q^2-39*q+113)],
[q*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/384*(q-1)*(q-3)*(13*q^3-121*q^2+419*q-647)],
[q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-3)*(q^2-12*q+39)],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/24*(q-3)*(5*q^2-60*q+187)],
[(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^5, 1/768*(q-5)*(q-1)*(q-3)*(q^3-9*q^2+27*q-43)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/48*(q-3)*(q^3-15*q^2+89*q-207)],
[q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/192*(q-3)*(q-7)*(7*q^2-82*q+295)],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^5, 1/384*(q-3)*(q-7)*(q^3-17*q^2+111*q-303)],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^6, 1/23040*(q-11)*(q-3)*(q-7)*(q^3-15*q^2+89*q-255)]
];