DegreesAndMultiplicitiesD6HS_3mod4 := [
[1, 2],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, 1/2*q-1/2],
[q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 2],
[(q^2+q+1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2, 1/2*q-3/2],
[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), 2],
[1/2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 4],
[1/2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 4],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 3/2*q-3/2],
[q^3*(q^4+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, 3/2*q-9/2],
[(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), 1],
[1/2*q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 2],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2, 2],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2, 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, 2],
[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, 1/2*q-1/2],
[(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-1],
[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), 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-3],
[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, 1/2*q-3/2],
[1/2*(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, 2],
[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+q+1)^2, 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, 1/8*(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, 1/2*q-1/2],
[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-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)^3*(q+1)^3, 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-1)^2*(q+1)^2, 1/4*(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), 1/4*(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), 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), 1],
[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, 1/2*q-3/2],
[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-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, 1/8*(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, 2],
[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)^3, 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, 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)^2*(q+1)^4, 2],
[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)^3, 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, 2],
[(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)^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)^3, 3/2*q-3/2],
[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, 1/2*q-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^4+1)*(q+1)^2, 1/2*q-3/2],
[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)^3, 3/2*q-9/2],
[(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)^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, 1/2*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-1)^2*(q^2+q+1)^2, 1],
[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), 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^2+1)^2, 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+1)^3, 1/2*q-3/2],
[(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, 1/4*q+1/4],
[(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^2+q+1)^2, 5/4*q-7/4],
[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, q-1],
[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, 1],
[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],
[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, 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, 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)*(q^4+1)*(q^2+1)^2, 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, 1/4*q-3/4],
[(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^2-q+1)^2, 5/4*q-15/4],
[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, 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, 1/2*q-1/2],
[1/2*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, 4],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 2],
[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, 1/2*q-3/2],
[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-1)^2*(q^2+q+1)^2, 1/2*q-1/2],
[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, 1/2*q-1/2],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q^2+1)^2, 2],
[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, 1/2*q-1/2],
[1/2*q^7*(q^4-q^3+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+1)^2*(q^2-q+1)^2, 1/2*q-3/2],
[1/2*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2, 2],
[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, 1/2*q-3/2],
[1/2*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, 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, 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-1)^4, 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^2+q+1)^2*(q-1)^3, q^2-3*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, 3/2*q-3/2],
[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, 1/8*(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, 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, 5/2*q-7/2],
[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, 3*q-3],
[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, q-1],
[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, 1/4*(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, 1/4*(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)*(q-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)*(q-2)],
[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, 1/4*(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, 4],
[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, 6],
[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, 1],
[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, 3*q-9],
[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, 5/2*q-15/2],
[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, 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, 1/2*q-3/2],
[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, 3/2*q-9/2],
[(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-3)*(q-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+1)^2*(q^2+1)^2, 1/8*(q-3)*(q-5)],
[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],
[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+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^2+1)^2*(q-1)^3, 4],
[1/2*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, 2],
[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, 4],
[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^2+q+1)^2*(q-1)^3, q-3],
[1/2*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, 2],
[1/2*(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, 2*q-6],
[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^2-q+1)^2*(q+1)^3, q-1],
[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, 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+1)^2*(q+1)^3, 4],
[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+1)^2*(q+1)^4, q-3],
[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-3],
[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-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, 1/48*(q-3)*(7*q^2-15*q+14)],
[(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^2-q+7/4],
[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-1)^3, 3/2*q-3/2],
[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)*(2*q-3)],
[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, 1/2*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-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 3/8*(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-q+1)^2*(q-1)^3*(q+1)^3, 1/8*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, 1/4*q+1/4],
[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, 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, 1/8*q*(q-1)*(3*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, 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+1)^2*(q^2-q+1)^2, 3/16*q^3-5/8*q^2+11/16*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, 5/4*q-7/4],
[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, 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^2+q+1)^2*(q-1)^4, 1/6*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, 1/4*(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-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, 1/6*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, 1],
[q^12*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 2],
[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, (q-1)*(q-2)],
[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, 1/4*(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, 3/4*(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), 2],
[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, (q-1)*(q-2)],
[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, 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*(q^2+q+1)^2, 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, 1/8*(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, 1/4*q-3/4],
[(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, 1/16*(q-2)*(q-3)*(3*q-1)],
[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, 1/2*q-3/2],
[(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^2-q+1)^2*(q+1)^3, 1/8*(3*q-5)*(q-1)*(q-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, 2*q-6],
[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, 3*q-9],
[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, 5/4*q-15/4],
[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, 1/2*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, 3/8*(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, 3/2*q-9/2],
[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-3)*(2*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+1)^2*(q+1)^4, 1/4*(q-3)*(q-5)],
[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)^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, 1/48*(7*q-29)*(q-3)*(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^2+q+1)^2*(q-1)^4, 1],
[1/2*(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, 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, 1],
[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-q+1)^2*(q^2+q+1)^2*(q+1)^3, 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, 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^2-q+1)^2*(q+1)^4, 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-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, 5/4*q-7/4],
[(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)^3, 1/4*q+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, 1/2*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+1)^2*(q-1)^3, 1/2*q-3/2],
[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, 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, 1/4*q-3/4],
[(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^2+q+1)^2*(q-1)^3, 1/4*q^2-3/4*q+1],
[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, 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, 1/4*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), 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)^3, 1/4*q-3/4],
[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, 1/2*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+1)^2*(q+1)^3, 1/2*q-3/2],
[(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, 1/4*q-3/4],
[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, 5/4*q-15/4],
[(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, 1/4*(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, q-1],
[1/2*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, 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)*(q^4+1)*(q^2+q+1)^2*(q-1)^4, 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, 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)^4, q-3],
[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+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/2*q+1/2],
[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, 2],
[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^2+q+1)^2, 1/2*q-3/2],
[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, q-1],
[1/2*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, 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, 2],
[1/2*q^4*(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, 2],
[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)^3*(q+1)^3, 3/2*q-5/2],
[1/2*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+1)^2, 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, q-1],
[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^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q-3/2],
[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, q-3],
[1/2*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+q+1)^2*(q+1)^3, 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, 2],
[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-q+1)^2*(q^2+q+1)^2*(q+1)^4, q-3],
[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, q-1],
[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, 2],
[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, 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, 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)^4, 2],
[1/2*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, 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, q-3],
[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, 3/2*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^2-3/2*q+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-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, 1/4*(q-3)*(q^2-3*q+4)],
[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^2-3*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-q+1)^2*(q-1)^4, 3/32*(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, 1/2*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, 1/2*q-1/2],
[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, 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+q+1)^2*(q^2+1)^2*(q-1)^3, 1/2*(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, 5/2*q-7/2],
[(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, 3/32*(3*q-5)*(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-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/4*q+1/4],
[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, 1/4*q+1/4],
[(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-1)*(q^2-3*q+4)],
[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, (q-1)*(q-2)],
[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, 5/4*q-7/4],
[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, 5/4*q-7/4],
[(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, 1/8*(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)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 1/8*(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*(q-1)^3*(q+1)^3, 13/16*q^2-5/8*q-7/16],
[(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, 1/8*(q-1)*(5*q-7)],
[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, 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, 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-1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/4*q-3/4],
[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, 1/4*q-3/4],
[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, (q-1)*(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)*(q-2)*(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, 5/4*q-15/4],
[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, 5/4*q-15/4],
[(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, 1/32*(q-3)*(3*q-13)],
[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, 1/2*q-3/2],
[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^2-q+1)^2*(q+1)^3, 1/2*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, 5/2*q-15/2],
[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-q+1)^2*(q^2+1)^2*(q+1)^3, 1/2*(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, 1/32*(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, 3/2*q-9/2],
[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-2)*(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+1)^2*(q+1)^5, 1/2*(q-3)*(q-4)],
[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-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^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-3)*(q^2-9*q+22)],
[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, 1/8*(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, q-1],
[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)^4, q-1],
[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, 1/4*(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, 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, 1/2*q-1/2],
[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^2+q+1)^2*(q-1)^3, 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, 1/8*(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, 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-1)^4, q-3],
[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, 4],
[1/2*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^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, q-3],
[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, 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, 1/2*q-3/2],
[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+1)^2*(q^2+q+1)^2*(q-1)^4, 1/8*(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, 1/2*(q-1)*(q+1)],
[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^2+q+1)^2*(q-1)^3, 4],
[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, 1/2*q-1/2],
[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+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 2*q-2],
[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, 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+q+1)^2*(q^2+1)^2, 1/2*q-1/2],
[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-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/8*(q-1)*(q-3)],
[1/2*(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, q+1],
[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, 1/4*(q-1)*(q-3)],
[1/2*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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 4],
[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, 1],
[1/2*q^13*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+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, 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, q-1],
[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, 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^2+q+1)^2*(q-1)^3*(q+1)^3, 1/2*(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, 1/2*q-1/2],
[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-1)^2*(q^2-q+1)^2*(q+1)^4, 1/8*(q-1)*(q-3)],
[1/2*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)^3, 4],
[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, 1/2*(q-1)^2],
[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-1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 2*q-6],
[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, 1/2*q-3/2],
[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^2-q+1)^2*(q+1)^3, 4],
[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, 1/4*(q-1)*(q-3)],
[1/2*(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, 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, 1/2*q-3/2],
[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+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/8*(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+q+1)^2*(q^2+1)^2, 1],
[1/2*q^13*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)^2*(q+1)^4, 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+1)^4, q-1],
[1/2*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^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, q-1],
[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, 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^2+1)^2, q-3],
[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, 1/4*(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, 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, 1/2*q-3/2],
[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+1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/8*(q-3)*(q-5)],
[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^2+q+1)^2*(q+1)^3, 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, q-3],
[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)^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^2-q+1)^2*(q+1)^6, 1/8*(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)^5, 1/48*(q^2-3*q+5)*(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)^4, 1/48*(q-3)*(7*q^2-15*q+14)],
[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^2-2*q+2)],
[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)^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^2-3*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, 1/8*(q-1)*(q-3)*(q-4)],
[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-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+q+1)^2*(q^2+1)^2*(q-1)^4, 1/8*(q-1)*(q^3-2*q^2+2*q-3)],
[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, 3/2*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^2+q+1)^2*(q-1)^3, 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^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/8*q*(q-1)*(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)^3, 5/4*q^2-17/4*q+9/2],
[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, 5/2*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, 1/8*(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, 1/4*(q-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+1)^2*(q^2+q+1)^2*(q-1)^5, 1/6*q^2*(q-1)*(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^3+1/4*q^2-11/12*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*(q-1)^3, 1/2*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^2+q+1)^2*(q-1)^3, 2*q-3],
[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, 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, 1/2*q^3-3/2*q^2+3/4*q-5/4],
[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+q+1)^2*(q^2+1)^2*(q-1)^3, 1/4*(q-1)*(q^2-3*q+4)],
[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, 1],
[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, (q-1)*(q-2)],
[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, 3*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, 5/2*q-7/2],
[(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, 1/8*(q-3)*(3*q^2-7*q+6)],
[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, 5/2*q-7/2],
[(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+1)^4*(q-1)^5, 1/2*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, 1/2*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)*(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)^3, 1/4*(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+1)*(q^2-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+1)^2*(q^2+q+1)^2*(q-1)^3, 1/4*q^2-3/4*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+q+1)^2*(q^2-q+1)^2, q-1],
[q^15*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 4],
[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, 1/4*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^3-2*q^2+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+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/8*(q-1)*(3*q^2-7)],
[(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^2+1)^2*(q+1)^3, 1/16*(q-3)*(q^3-2*q^2-1)],
[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, (q-1)*(q-2)],
[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, 6],
[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, (q-1)*(q-2)],
[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, 9/4*(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, 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, 1/4*(2*q-5)*(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-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/2*q-3/2],
[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, 1/12*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-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*(q+1)^3, 1/4*(q-3)*(2*q^2-4*q-1)],
[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, 2*q-6],
[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, (q-1)*(q-2)],
[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, 3*q-9],
[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-1)*(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+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-3)*(3*q^2-13*q+8)],
[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, 5/2*q-15/2],
[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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 5/2*q-15/2],
[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^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/8*(3*q-5)*(q-1)*(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, 1/8*(q-1)*(q-3)*(q^2-3*q+3)],
[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, 3/2*q-9/2],
[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, 1/2*q-3/2],
[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+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+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 5/2*q-15/2],
[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, 1/4*(q-3)*(5*q-22)],
[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, 1/8*(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)^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-3)*(q-4)],
[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-4)^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-5)*(q-6)*(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^2+q+1)^2*(q+1)^4, 1/48*(7*q-29)*(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^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/48*(q-3)*(q^3-14*q^2+68*q-121)],
[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+1)^2*(q-1)^6, q-3],
[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^2+q+1)^2*(q-1)^4, 1/4*(q-3)*(q-5)],
[1/2*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, q-1],
[1/2*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, q-3],
[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+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/2*(q-1)^2],
[1/2*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, 4],
[1/2*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, 2],
[1/2*(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, 1/2*q^2-3/2*q+2],
[1/2*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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-3],
[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+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 2*q-2],
[1/2*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+q+1)^2*(q^2+1)^2*(q-1)^3, q-3],
[1/2*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, q+1],
[1/2*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, 4],
[1/2*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, 2],
[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)^3, q-3],
[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^4+1)*(q^2+1)^2*(q-1)^3*(q+1)^3, 2*q-6],
[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)^3, (q-3)^2],
[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+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)],
[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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-3],
[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-q+1)^2*(q^2+q+1)^2*(q+1)^3, 4],
[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-1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 2*q-6],
[1/2*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-q+1)^2*(q^2+1)^2*(q+1)^3, q-1],
[1/2*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, q-3],
[1/2*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, q-3],
[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-1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^4, 1/2*(q-3)^2],
[1/2*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, 4],
[1/2*(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, 1/2*(q-2)*(q-3)],
[1/2*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, q-3],
[1/2*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, q-3],
[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+1)^2*(q+1)^6, q-3],
[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^2+q+1)^2*(q+1)^4, 1/4*(q-3)*(q-7)],
[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^2-q+7/4],
[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^2-3*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^2+q+1)^2*(q-1)^4, 1/384*(13*q^2-66*q+65)*(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^2+q+1)^2*(q-1)^4, 1/2*(q+1)*(q-2)],
[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, 1/48*(q-3)*(7*q^2+9*q-34)],
[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^2-3*q+3],
[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)*(3*q^2-15*q+16)],
[(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, 1/32*(q+1)*(3*q-1)*(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+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/16*(q+1)*(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*(q-1)^4, 1/96*(q-3)*(7*q^3-5*q^2-q-13)],
[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, 1/2*q-1/2],
[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-1)*(q^2-3*q+4)],
[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, 3/2*q-3/2],
[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, 3/8*(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^2+q+1)^2*(q^2+1)^2*(q-1)^3, 5/4*q^2-17/4*q+9/2],
[(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, 5/32*q^4-7/8*q^3+17/8*q^2-11/4*q+35/32],
[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, 5/2*q-7/2],
[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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/16*(27*q-37)*(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, 1/4*(q-1)*(2*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)^4*(q+1)^4, 1/12*q^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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*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)^3*(q+1)^3, 1/8*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, 1/4*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+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/12*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, 1/2*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+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/2*q^3-3/2*q^2+3/4*q-5/4],
[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, 1/4*q+1/4],
[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, 1/2*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^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/8*q*(q-1)*(3*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, 5/4*q-7/4],
[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)*(q-2)],
[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, 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+1)^2*(q^2-q+1)^2*(q^2+1)^2, 3/16*q^3-5/8*q^2+11/16*q-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-1)^2*(q^2+q+1)^2*(q^2+1)^2, 5/4*q-7/4],
[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, 1/8*(q-2)*(3*q-5)^2],
[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, 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, 5/2*q-7/2],
[(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, 1/8*(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^2-q+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 1/32*(q-1)*(q+1)*(7*q^2-16*q-3)],
[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, 1/4*(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^2-q+1)^2*(q^2+q+1)^2*(q-1)^3*(q+1)^3, 13/8*q^2-3/4*q-11/8],
[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, 1/6*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, 1/4*q^2-3/4*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^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, 3/8*q^4-q^3-3/8*q^2+11/4*q-5/4],
[q^20*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-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)^3, 1/4*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, 1/6*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, 1],
[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, 1/4*(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, 1/4*(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), 2],
[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, 3/4*(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), 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)*(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, 15/64*q^4-21/16*q^3+85/32*q^2-41/16*q+79/64],
[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, 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+1)^2*(q^2-q+1)^2*(q^2+1)^2, (q-1)*(q-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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(27*q-29)*(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, 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, 1/12*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, 1/4*(2*q-5)*(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, 1/8*(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, 1/4*q-3/4],
[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+q+1)^2*(q+1)^3, 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, 1/4*q-3/4],
[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)*(2*q^2-4*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, 1/2*q-3/2],
[(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, 1/12*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, 1/16*(q-2)*(q-3)*(3*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)*(q-2)],
[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, 3*q-9],
[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, 1/8*(3*q-5)*(q-1)*(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^2-q+1)^2, 5/4*q-15/4],
[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, 1/2*q-3/2],
[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, 1/8*(q-3)*(9*q^2-39*q+28)],
[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, 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-q+1)^2*(q^2+1)^2, 5/4*q-15/4],
[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, 5/2*q-15/2],
[(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, 1/32*(q-1)*(q-3)*(3*q-7)*(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*(q+1)^4, 3/16*(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, 1/96*(7*q^2-12*q-13)*(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, 1/2*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, 3/2*q-9/2],
[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, 3/8*(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-1)*(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*(q+1)^3, 1/32*(q-3)*(5*q^3-33*q^2+69*q-37)],
[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, 5/2*q-15/2],
[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, 1/4*(q-3)*(5*q-22)],
[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, 3/16*(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-2)*(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^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, (q-3)*(q-4)],
[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, 1/48*(q-3)*(7*q^2-33*q-28)],
[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)*(3*q^2-33*q+94)],
[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-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)^5, 1/4*(q-3)*(q^2-9*q+22)],
[(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-3)*(q-7)*(13*q^2-118*q+301)],
[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^2+q+1)^2*(q-1)^5, 1/8*(q-3)^2],
[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^2+q+1)^2*(q-1)^4, q-1],
[1/2*(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)^4, 1/8*(3*q-1)*(q-3)],
[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)^3, q-3],
[1/2*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, 4],
[1/2*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^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, q-3],
[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, 1/2*(q-1)*(q+1)],
[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^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 2*q-2],
[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^2+q+1)^2*(q-1)^3, q^2-7/2*q+7/2],
[1/2*q^2*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q+1],
[1/2*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, 2],
[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, 1/2*(q-1)*(q+1)],
[1/2*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)^3, 2],
[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^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 2*q-6],
[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^2+q+1)^2*(q+1)^3, q^2-7/2*q+7/2],
[1/2*q^2*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-3],
[1/2*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, 4],
[1/2*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^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, q-1],
[1/2*(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)^4, 1/8*(3*q-5)*(q-3)],
[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)^3, q-3],
[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^2+q+1)^2*(q+1)^4, q-3],
[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^2+q+1)^2*(q+1)^5, 1/8*(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)^6, 1/48*(q^2-3*q+5)*(q-3)^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)^5, 1/384*(q-7)*(q^2-3*q+8)*(q-3)^2],
[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^2-3*q+4)],
[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, 1/48*(q-3)*(7*q^2-15*q+14)],
[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, 1/192*(q-3)*(13*q^3-105*q^2+287*q-315)],
[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^2-3/2*q+2],
[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-1)^2],
[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^3-2*q^2+2*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^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/4*(q-3)*(q^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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/384*(q-3)*(13*q^4-43*q^3+81*q^2-161*q+86)],
[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, q^2-3*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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/8*(q-3)*(3*q^2-15*q+16)],
[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^2*(q-1)*(q+1)],
[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, 1/2*q-3/2],
[(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)^5, 1/12*q^2*(q+1)*(q-1)^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, 3/2*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^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/4*(q-1)*(q^2-3*q+4)],
[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)*(2*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, 1/8*q*(q-1)*(3*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+q+1)^2*(q^2+1)^2*(q-1)^3, 1/2*(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, 1/16*(q-1)*(5*q^3-23*q^2+49*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, 1/8*(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, 5/4*q-7/4],
[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, 1/8*(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+1)*(q^2+q-4)*(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)*(q^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-q+1)^2*(q^2+q+1)^2*(q+1)^3*(q-1)^4, 1/4*(q-1)*(2*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)^4, 1/6*q^3+1/4*q^2-11/12*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*(q-1)^4, 1/16*q*(q-1)*(q+1)*(3*q^2-2*q-3)],
[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)^3, 1/4*q+1/4],
[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, 11/48*q^4-5/16*q^3+1/3*q^2-5/16*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, 1/2*q-1/2],
[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, 1],
[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, 1/2*q^3-3/2*q^2+3/4*q-5/4],
[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), 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-1)*(q^2-3*q+4)],
[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, 5/2*q-7/2],
[(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)^3, 1/64*(q-3)*(5*q^4-9*q^3+7*q^2-31*q+12)],
[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, (q-1)*(q-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-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-2)*(3*q-5)^2],
[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, q-1],
[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, 5/4*q-7/4],
[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, 1/16*(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, 1/4*(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, 1/4*(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+q+1)^2*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/12*q*(q-1)*(q-2)*(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, 1/8*(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, 1/4*(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, 1/2*q-1/2],
[q^21*(q^4+1)*(q^2+q+1)*(q^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^2-q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/12*q^2*(q+1)*(q-1)^2],
[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, (q-1)*(q-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+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/8*(q-1)*(3*q^2-7)],
[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), 2],
[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, (q-1)*(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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/32*(q-1)*(15*q^3-69*q^2+109*q-79)],
[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, 1/4*(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, 9/4*(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, 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)^5, 1/32*(q-1)*(q+1)*(q^3-2*q^2-5*q+14)],
[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, 1/4*(2*q-5)*(q-1)*(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+1)*(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^2-q+1)^2*(q^2+q+1)^2*(q-1)^3*(q+1)^4, 1/16*(q-1)*(q-2)*(q+1)*(3*q^2-2*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-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/4*q-3/4],
[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)^4, 1/12*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)*(2*q^2-4*q-1)],
[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), 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*(q^2+1)^2*(q+1)^4, 11/48*q^4-31/48*q^3+5/24*q^2+13/48*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, 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-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^4-19*q^3+17*q^2-13*q+26)],
[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, (q-1)*(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-q+1)^2*(q^2+1)^2*(q+1)^3, 1/4*(q-1)*(q-2)*(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, 5/2*q-15/2],
[q^2*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-3)*(9*q^2-39*q+28)],
[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, q-3],
[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, 5/4*q-15/4],
[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-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*(q+1)^5, 1/12*q*(q-1)*(q-2)*(q-3)*(q+1)],
[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, 3/2*q-9/2],
[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, 1/2*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^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/8*(3*q-5)*(q-1)*(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-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-1)*(q-2)*(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)*(2*q-7)],
[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, 1/16*(q-1)*(q-3)*(5*q^2-28*q+45)],
[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, 1/8*(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, 5/4*q-15/4],
[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, 1/2*(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, 1/8*(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^2-3*q+3)],
[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)^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*(q^2+1)^2*(q+1)^5, 1/2*(q-3)*(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*(q+1)^4, 1/384*(q-3)*(13*q^4-121*q^3+383*q^2-587*q+336)],
[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, (q-3)*(q-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-q+1)^2*(q^2+1)^2*(q+1)^4, 1/4*(q-3)*(q-4)^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)*(3*q^2-33*q+94)],
[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, 1/48*(7*q-29)*(q-3)*(q-4)],
[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^2-9*q+22)],
[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, 1/192*(q-3)*(q-7)*(13*q^2-118*q+325)],
[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^3-14*q^2+68*q-121)],
[(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^3-16*q^2+85*q-186)],
[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^2+q+1)^2*(q-1)^6, 1/96*(q-5)*(q-7)*(q-3)],
[1/2*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)^5, 1/8*(q-3)^2],
[1/2*(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)^5, 1/16*(q-3)*(q^2-3*q+4)],
[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, 1/4*(q-3)*(q-5)],
[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, q-1],
[1/2*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*(q-1)^4, 1/8*(3*q-1)*(q-3)],
[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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, q-3],
[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)^4*(q-1)^6, 1/8*(q-1)*(q+1)^2],
[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)^5, 1/4*q*(q-1)*(q+1)],
[1/2*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, 1/2*q+1/2],
[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^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/2*(q-1)^2],
[1/2*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, q-3],
[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^2+q+1)^2*(q-1)^4, 1/32*(q-3)*(9*q^2-14*q+9)],
[1/2*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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*q^2-3/2*q+2],
[1/2*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, 1/2*q-3/2],
[1/2*q^15*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 4],
[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)^4, 1/2*(q-1)*(q+1)],
[1/2*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, q-3],
[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+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 2*q-2],
[1/2*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, q^2-7/2*q+7/2],
[1/2*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, q+1],
[1/2*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, 2],
[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, 1/4*q*(q-1)*(q+1)],
[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+1)^2*(q+1)^4*(q-1)^6, 1/3*q*(q-1)*(q+1)],
[1/2*(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)^5*(q+1)^5, 2/3*q*(q-1)*(q+1)],
[1/2*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-1)^3*(q+1)^3, 2],
[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+1)^2*(q-1)^4*(q+1)^6, 1/3*q*(q-1)*(q+1)],
[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)^4*(q+1)^4, 1/2*(q+1)*(q-1)^2],
[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, 2*q-6],
[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*(q^2+q+1)^2*(q-1)^3*(q+1)^3, 3/2*q-5/2],
[1/2*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, 2],
[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, (q-3)^2],
[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^2+q+1)^2*(q-1)^3*(q+1)^3, 1/24*(q-3)*(11*q^2-27*q+34)],
[1/2*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+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)],
[1/2*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, 1/2*q-3/2],
[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)^4, 1/2*(q-1)*(q+1)],
[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^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 2],
[1/2*q^15*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 4],
[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-1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 2*q-6],
[1/2*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, q-1],
[1/2*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, q^2-7/2*q+7/2],
[1/2*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, q-3],
[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)^4*(q+1)^6, 1/8*(q+1)*(q-1)^2],
[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)^5, 1/4*(q-1)*(q-2)*(q+1)],
[1/2*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, q-3],
[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^2-q+1)^2*(q^2+q+1)^2*(q+1)^4, 1/2*(q-3)^2],
[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^2+q+1)^2*(q+1)^4, 1/32*(q-1)*(9*q-23)*(q-3)],
[1/2*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, q-3],
[1/2*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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/2*(q-2)*(q-3)],
[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, q-3],
[1/2*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*(q+1)^4, 1/8*(3*q-5)*(q-3)],
[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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, q-3],
[1/2*(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)^5, 1/16*(q-3)*(q^2-7*q+8)],
[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, 1/4*(q-3)*(q-7)],
[1/2*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)^5, 1/8*(q-3)*(q-7)],
[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^2+q+1)^2*(q+1)^6, 1/96*(q-11)*(q-7)*(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)^6, 1/23040*(q-3)*(q-7)*(q^4-14*q^3+59*q^2-196*q+450)],
[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-7)*(q^2-3*q+8)*(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+q+1)^2*(q^2+1)^2*(q-1)^5, 1/48*(q^2-3*q+5)*(q-3)^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)^5, 1/768*(q-3)*(q^5-7*q^4+15*q^3-35*q^2+68*q-66)],
[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, 1/384*(13*q^2-66*q+65)*(q-3)^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)^6, 1/144*q^2*(q+1)*(q-2)*(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, 1/48*(q-3)*(7*q^2-15*q+14)],
[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^2-3*q+4)],
[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-3)*(13*q^4-43*q^3+81*q^2-161*q+86)],
[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, 1/8*(q-1)*(q-3)*(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)^4*(q-1)^6, 1/128*(q-1)*(q+1)*(q^4-3*q^2-6)],
[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, 1/32*(q+1)*(3*q-1)*(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)^5, 1/192*q^2*(q+1)*(7*q+3)*(q-1)^2],
[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, 3/32*(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^2*(q+1)*(q-1)^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-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^2+q+1)^2*(q^2-q+1)^2*(q-1)^4, 1/96*(q-3)*(7*q^3-5*q^2-q-13)],
[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, 1/8*(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+q+1)^2*(q^2+1)^2*(q-1)^4, 1/4*q^2-q+7/4],
[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^3-2*q^2+2*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^2+q+1)^2*(q-1)^3, q^2-3*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)^4, 1/1536*(q-3)*(13*q^5-21*q^4-15*q^3-133*q^2+206*q-26)],
[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, 1/4*(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, 5/32*q^4-7/8*q^3+17/8*q^2-11/4*q+35/32],
[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, 3/32*(3*q-5)*(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+1)*(q^2+q-4)*(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^3*(q-1)*(q+1)^2],
[(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, 1/4*(q-1)*(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)^4*(q+1)^4, 1/12*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, 1/8*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^2*(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*(q+1)^3*(q-1)^5, 1/24*q^2*(q-1)*(q-2)*(q+1)^2],
[q^15*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 3/2*q-3/2],
[q^20*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, 1/2*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)^4, 1/16*q*(q-1)*(q+1)*(3*q^2-2*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-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/4*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)^4*(q+1)^4, 1/48*q^2*(q-1)*(q-2)*(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, 1/4*q+1/4],
[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, 1/2*q-3/2],
[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, 1/12*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, 1/8*q*(q-1)*(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*(q-1)^3, 1/2*q^3-3/2*q^2+3/4*q-5/4],
[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), 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, 3/16*q^3-5/8*q^2+11/16*q-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*(q-1)^3, 1/4*(q-1)*(q^2-3*q+4)],
[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, 5/4*q-7/4],
[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^4-9*q^3+7*q^2-31*q+12)],
[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-3)*(3*q^2-7*q+6)],
[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, 1/4*q-3/4],
[(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*(q-1)*(q+1)*(q^2+1)],
[q^4*(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, 1/8*(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*(q-1)^5*(q+1)^5, 1/64*(q-1)*(q+1)*(q^4-2*q^3-3*q^2+6*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*(q^2+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, 1/2*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, 1/8*(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, 1/4*(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^2-q+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 1/32*(q-1)*(q+1)*(7*q^2-16*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^2+1)^2*(q-1)^4*(q+1)^5, 1/2*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, 1/6*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)*(q^2-q+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*(q+1)^5, 1/16*(q-1)*(q+1)*(q^2+1)*(q^2-2)],
[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)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 1/8*(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^2-q+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 1/32*(q-1)*(q+1)*(3*q^4-6*q^3-3*q^2+6*q-4)],
[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, 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*(q^2+q+1)^2*(q-1)^3*(q+1)^3, 13/16*q^2-5/8*q-7/16],
[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)*(q^2-q-1)],
[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, 1/6*q*(q-1)*(q+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+q+1)^2*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/12*q*(q-1)*(q-2)*(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, 1/4*q^2-3/4*q+1],
[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, 1/4*(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, 3/8*q^4-q^3-3/8*q^2+11/4*q-5/4],
[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), 1/4*(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^2*(q+1)*(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, 1/4*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^3-2*q^2+2*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, (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^2+q+1)^2*(q-1)^3*(q+1)^3, 1/384*(q-3)*(5*q^5-15*q^4-21*q^3+q^2+172*q-118)],
[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, 1/8*(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), 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-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/16*(q-3)*(q^3-2*q^2-1)],
[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, (q-1)*(q-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+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 15/64*q^4-21/16*q^3+85/32*q^2-41/16*q+79/64],
[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, 1/16*(9*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^2+q+1)^2*(q-1)^5*(q+1)^5, 1/24*q^3*(q+1)*(q-1)^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)^5, 1/32*(q-1)*(q+1)*(q^3-2*q^2-5*q+14)],
[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, 1/12*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, 1/8*(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, 1/4*(2*q-5)*(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*(q-1)^4*(q+1)^4, 1/48*q*(q-1)*(q-2)*(q+1)*(q^2-q-4)],
[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, 1/4*q-3/4],
[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-2)*(q+1)*(3*q^2-2*q-7)],
[q^20*(q^2+q+1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2, 1/2*q-3/2],
[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^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/4*q-3/4],
[(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)^5, 1/24*q^2*(q+1)*(q-2)*(q-1)^2],
[q^15*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 3/2*q-9/2],
[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-q+1)^2*(q^2+1)^2*(q+1)^5, 1/6*q*(q-1)*(q-2)*(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, 1/16*(q-2)*(q-3)*(3*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)^3, 1/4*(q-3)*(2*q^2-4*q-1)],
[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), 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*(q+1)^4, 1/12*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, 1/8*(3*q-5)*(q-1)*(q-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, 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-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^4-19*q^3+17*q^2-13*q+26)],
[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-1)*(q-2)*(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, 5/4*q-15/4],
[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-3)*(3*q^2-13*q+8)],
[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, 1/4*q-3/4],
[(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)^4*(q+1)^6, 1/128*(q-1)*(q-3)*(q+1)*(q^3-q^2-2*q+6)],
[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, 1/32*(q-1)*(q-3)*(3*q-7)*(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*(q+1)^5, 1/192*(q-1)*(q-2)*(q+1)*(7*q^3-18*q^2-3*q+30)],
[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, 1/32*(q-3)*(3*q-13)],
[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, 1/96*(7*q^2-12*q-13)*(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, 1/8*(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-2)*(q-3)*(q+1)],
[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)^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-3)*(13*q^5-73*q^4+105*q^3-29*q^2+230*q-318)],
[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^2-3*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^2-q+1)^2*(q+1)^3, (q-3)*(q-4)],
[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-5)],
[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, 1/32*(q-3)*(5*q^3-33*q^2+69*q-37)],
[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, 1/4*(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, 1/32*(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-2)*(q-3)*(q-4)*(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^2-q+1)^2*(q+1)^4, 1/48*(7*q-29)*(q-3)*(q-4)],
[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-3)*(13*q^4-121*q^3+383*q^2-587*q+336)],
[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^2-9*q+22)],
[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, 1/8*(q-5)*(q-6)*(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)^5, 1/768*(q-3)*(q^5-15*q^4+79*q^3-195*q^2+292*q-186)],
[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^3-14*q^2+68*q-121)],
[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, 1/384*(q-3)*(q-7)*(13*q^2-118*q+301)],
[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^3-16*q^2+85*q-186)],
[(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-7)*(q-3)*(q^3-15*q^2+74*q-210)]
];