DegreesAndMultiplicitiesB5sc_3mod4 := [
[1, 1],
[(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 1],
[1/2*q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, 1],
[1/2*q*(q^4-q^3+q^2-q+1)*(q^4+1), 1],
[1/2*q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q+1)^2, 1],
[1/2*q*(q^4+q^3+q^2+q+1)*(q^4+1), 1],
[(q-1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 1/2*q-1/2],
[q*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 1],
[(q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 1/2*q-3/2],
[(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 1],
[1/2*q^2*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1],
[1/2*q^2*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 2],
[1/2*q^2*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2, 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, 1],
[1/2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 2],
[1/2*q*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, 1],
[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), 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), 2],
[1/2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 2],
[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), 1],
[1/2*q*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 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, 1],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 1/2*q-1/2],
[(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],
[q^3*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 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), 1],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 1/2*q-3/2],
[(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-3],
[1/2*q*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^3, 1/2*q-1/2],
[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), 1/2*q-1/2],
[1/2*q^2*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, 1],
[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), 1],
[1/2*q^4*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 1],
[1/2*q^4*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1],
[1/2*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+1)*(q-1)^2, 1/2*q-3/2],
[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), 1/2*q-1/2],
[1/2*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+1)*(q+1)^2, 1/2*q-1/2],
[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), 1/2*q-3/2],
[1/2*q^4*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1), 1],
[1/2*q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 1],
[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), 1],
[1/2*q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)*(q+1)^2, 1],
[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), 1/2*q-3/2],
[1/2*q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)*(q+1)^3, 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-1)^2, 1/8*(q-1)*(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-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, 1/4*(q-1)*(q+1)],
[(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), 1/2*(q-1)*(q-2)],
[q^4*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 1],
[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-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, 1/8*(q-3)*(q-5)],
[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, 1],
[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), 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), 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-1)^2*(q+1)^3, 2],
[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, 1],
[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), 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)^3, 1/4*q+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), 1/4*q-3/4],
[(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-1)^2*(q+1)^3, 1/4*q-3/4],
[(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), 1/4*q-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-1)^2, 1],
[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-1)^2, 1],
[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), 1],
[1/2*q^4*(q^2+1)*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 2],
[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+1)^2, 1],
[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), 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, 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],
[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+1)*(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-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-1)^3, 1/2*q-1/2],
[1/2*q*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4, 2],
[1/2*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), 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, 1],
[1/2*q^5*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, 1],
[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), 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), 1],
[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-1)^2, 1/2*q-3/2],
[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+1)^2, 1/2*q-1/2],
[1/2*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), 1/2*q-1/2],
[1/2*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), 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, 1],
[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), 1],
[1/2*q^5*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)*(q+1)^2, 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), 1],
[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+1)^3, 1/2*q-3/2],
[1/2*q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4, 2],
[1/2*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), 1/2*q-3/2],
[q*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4, 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)^3, 1/4*(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-1)^2, 1/2*q-1/2],
[(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), 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, 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, 1/4*(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), 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, 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, 1/2*q-3/2],
[(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), 1/2*q-3/2],
[q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+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+1)^3, 1/4*(q-3)^2],
[1/4*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-1)^4, 1],
[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, 1],
[1/4*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-1)^2*(q+1)^2, 1],
[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, 3],
[1/4*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+1)^2, 2],
[1/4*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-1)^2*(q+1)^2, 1],
[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, 3],
[1/4*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+1)^2, 2],
[1/4*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+1)^4, 1],
[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, 1],
[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-1)^3, 1/2*q-1/2],
[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, q-1],
[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+1)^2, q-1],
[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, 1],
[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)^2, 1/2*q-3/2],
[1/2*q^6*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, 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), 1],
[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, 2],
[1/2*q*(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],
[1/2*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), 1],
[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-1)^2*(q+1)^2, 1],
[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-3],
[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-1],
[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), 2],
[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+1)^2, q-1],
[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+1)^2, q-3],
[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^2+1)^2, 1],
[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)^2, 1/2*q-1/2],
[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)^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+1)^2, 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), 1],
[1/2*q^6*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)*(q+1)^2, 1],
[1/2*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), 1],
[1/2*q*(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-3],
[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, q-3],
[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+1)^2, q-3],
[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+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)^3, 1/2*q-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)^2, 3/8*(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)^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-1)^2*(q^2+1)^2, 1/4*q-3/4],
[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, 1/2*q-1/2],
[q*(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],
[(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)*(q+1)],
[(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), 1/2*(q-1)*(2*q-5)],
[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), 1],
[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, 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+1)^3, 1/4*q-3/4],
[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, 1/2*q-3/2],
[q*(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-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, 1/4*q-3/4],
[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, 1/2*q-3/2],
[(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)^2, 3/8*(q-3)*(q-5)],
[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)^4, 1/8*(q-1)*(q+1)],
[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, 1/8*(q-1)*(q-3)],
[1/2*q^7*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, 1],
[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)^3, q+1],
[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],
[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+1)^2, q-1],
[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-1)^4, 1/4*(q-1)*(q+1)],
[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+1)^2*(q-1)^3, 1/2*q-1/2],
[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)^3, 1/2*(q-1)*(q-2)],
[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-1)^2, 1],
[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+1)^2, 3/8*q^2-11/8],
[1/2*q^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), q-1],
[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, 1/8*(q+5)*(q-1)],
[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, 1/2*(q-1)*(q-2)],
[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), 1],
[1/2*q^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^2+1)^2, 1/2*q-1/2],
[1/2*q^9*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 1],
[1/2*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-1)^2*(q+1)^2, 1],
[1/2*q^9*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1],
[1/2*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-3],
[1/2*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-1],
[1/2*q^9*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1), 1],
[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), 2],
[1/2*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), 2],
[1/2*q^9*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 1],
[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+1)^2, q-1],
[1/2*q^3*(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), 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+1)^2, q-3],
[1/2*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^2+1)^2, 1],
[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+1)^4, 1/4*(q-1)*(q+1)],
[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-1)^2*(q+1)^3, 1/2*q-3/2],
[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)^2*(q+1)^2, 3/8*q^2-1/2*q+9/8],
[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)^3, 1/2*(q-1)*(q-2)],
[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+1)^2, 1],
[1/2*q^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), q-3],
[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, 1/2*(q-1)*(q-2)],
[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), 1],
[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, 1/8*(q-3)*(q+3)],
[1/2*q^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^2+1)^2, 1/2*q-3/2],
[1/2*q^7*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q+1)^2, 1],
[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],
[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)^3, q-1],
[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+1)^2, q-3],
[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)^4, 1/8*(q-1)*(q-3)],
[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, 1/8*(q-3)*(q-5)],
[(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, 1/48*(q-5)*(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)^3, 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^2+1)^2*(q-1)^3, 1/2*(q-1)*(q-2)],
[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, 1/8*(q-1)*(3*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)*(q+1)^2*(q-1)^3, 1/8*(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, 1/2*q-1/2],
[(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)^2, 1/16*(q-1)*(3*q^2-10*q+11)],
[q^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), 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-1)^2*(q^2+1)^2, 1/2*q-1/2],
[q^2*(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), 3/2*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)^3, 1/6*q*(q-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)*(q-1)^2*(q+1)^2, 1/4*(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-1)^2*(q+1)^3, 1/6*q*(q-1)*(q+1)],
[q^9*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 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-1)^2*(q^2+1)^2, 1/2*(q-1)*(q-2)],
[q*(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), 1/2*(q-1)*(2*q-5)],
[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), 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+1)^2*(q^2+1)^2, 1/2*(q-1)*(q-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, 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)^3, 1/8*(q-1)*(q-3)*(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)^2, 1/16*(q-1)*(q-3)*(3*q-7)],
[q^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), 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, 1/2*q-3/2],
[q^2*(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), 3/2*q-9/2],
[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, 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+1)^3, 1/2*q-3/2],
[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, 1/8*(q-3)*(3*q-11)],
[(q^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, 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)^3, 1/48*(q-5)*(q-7)*(q-3)],
[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-1)^4, 1/2*q-3/2],
[1/2*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)^3, 1/2*q-1/2],
[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)^2, 1],
[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^2+1)^2*(q-1)^3, 2],
[1/2*q^3*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 2],
[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-1)^2, 1],
[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-1)^3, q-1],
[1/2*q*(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)^2, 1/2*q-3/2],
[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+1)^2*(q^2+1)^2, 1/2*q+1/2],
[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-1)^2*(q^2+1)^2, 2],
[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), 1],
[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^2+1)^2, q-1],
[1/2*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), 2],
[1/2*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)^3, 2],
[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+1)^2, 1],
[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+1)^2*(q^2+1)^2, 1/2*q-3/2],
[1/2*q*(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)^2, 1/2*q-1/2],
[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+1)^3, 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), 1],
[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^2+1)^2, q-3],
[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)^4, 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)^2, 1],
[1/2*q^3*(q^2+q+1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 2],
[1/2*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)^3, 1/2*q-3/2],
[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+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^2+1)^2*(q-1)^4, 1/16*q*(q-3)^2],
[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)^3, 1/4*(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)^4, 1/4*q+1/4],
[(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, 1/8*(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+1)^2*(q-1)^3, 1/2*q^2-5/4*q+1/4],
[q^3*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/2*q-1/2],
[q^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)^2, 1/8*(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-1)^2*(q^2+1)^2, 1/4*(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-1)^4, 1/8*q*(q-1)*(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)^3, 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+1)^2*(q-1)^3, 1/4*q^3-3/4*q^2+1/2*q-1/2],
[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, 1/2*q-1/2],
[q*(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)^2, 1/4*(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+1)^2*(q^2+1)^2, 1/16*(q-3)*(q^2-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+1)^2, 3/4*q-5/4],
[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, 1/2*q-1/2],
[q^3*(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), 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)^3*(q+1)^3, 1/4*(q-1)*(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+1)^2, 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)^2*(q+1)^2, 1/2*q*(q-1)],
[q^10*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 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-1)^2*(q^2+1)^2, 1/2*(q-1)*(q-2)],
[q^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), 1/2*(q-1)*(q-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), 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), 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+1)^2*(q^2+1)^2, 1/2*(q-1)*(q-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)*(q^2+1)^2, 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)*(q^2+1)^2, 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)^4, 1/8*(q-1)*(q-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)^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-1)^2*(q+1)^2*(q^2+1)^2, 1/16*q*(q-3)^2],
[q*(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)^2, 1/4*(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+1)^3, 1/4*q*(q-2)*(q-3)],
[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, 1/2*q-3/2],
[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, 1/2*q-3/2],
[q^3*(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), 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+1)^2, 3/4*q-9/4],
[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)^4, 1/4*q-3/4],
[(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, 1/8*(q-1)*(q-3)],
[q^3*(q^2+q+1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/2*q-3/2],
[q^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)^2, 1/8*(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+1)^2*(q+1)^3, 1/4*(q-3)*(2*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*(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, 1/4*(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^2+1)^2*(q+1)^4, 1/16*(q-6)*(q-3)^2],
[1/8*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)^5, 2],
[1/8*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, 4],
[1/8*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+1)^4, 2],
[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)*(q-1)^5, 1/4*q-3/4],
[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)^4, 1],
[1/4*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-1)^4, 1/4*q-3/4],
[1/4*q^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],
[1/4*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, 1],
[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)*(q+1)^2*(q-1)^3, 1/2*q-1/2],
[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+1)^2, 1],
[1/4*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, 3],
[1/4*q^2*(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)^2, q-3],
[1/4*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-2],
[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^2+1)^2, 2],
[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-1)^4*(q+1)^5, 2],
[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+1)^2, 1],
[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)*(q-1)^2*(q+1)^3, 1/2*q+5/2],
[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-1)^2*(q^2+1)^2*(q+1)^3, 2],
[1/4*q^2*(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)^2, q-1],
[1/4*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, 3],
[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^2+1)^2, 2],
[1/4*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],
[1/4*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+1)^4, 1/4*q-3/4],
[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)^4, 1],
[1/4*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, 1],
[1/4*q^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-3],
[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)*(q+1)^5, 1/4*q-3/4],
[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)^5, 1/2*q-1/2],
[1/2*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)^4, 3/8*(q-1)*(q-3)],
[1/2*q^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],
[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)^3, q-3],
[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+1)^2*(q-1)^4, 1/4*(q-1)*(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-1)^3, 1/2*q-1/2],
[1/2*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)^3, q+1],
[1/2*q*(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, 1/2*(q-1)*(2*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+1)^2*(q-1)^3, 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), 1/2*q-1/2],
[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-1)^2*(q^2+1)^2, 3/4*(q-1)*(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+1)^2, q-1],
[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)^4*(q-1)^5, 1/4*q+1/4],
[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^4+1)*(q+1)^2*(q-1)^3, 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, 1],
[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)^2*(q-1)^3, 3/2*q-1/2],
[1/2*q^9*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, 1],
[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)^2*(q^2+1)^2*(q-1)^3, 1/4*q+1/4],
[1/2*q^2*(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)^2, q-3],
[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), 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, 2],
[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)^2*(q^2+1)^2, 3/2*q-1/2],
[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), 1],
[1/2*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, 2*q-2],
[1/2*q^11*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1],
[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-1)^3, 1/2*q-1/2],
[1/2*q^6*(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, 1/2*q-3/2],
[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+1)^3, 1/2*q-3/2],
[1/2*q^6*(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, 1/2*q-1/2],
[1/2*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-1)^2, q-3],
[1/2*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, 5/4*q^2-9/2*q+25/4],
[1/2*q^11*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 2],
[1/2*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+1)^2, 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), 1/2*q-1/2],
[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), 1/2*q-3/2],
[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-1],
[1/2*q^11*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2, 1],
[1/2*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, (q-1)*(2*q-5)],
[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-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-1)^4*(q+1)^5, 1/4*q-3/4],
[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^4+1)*(q-1)^2*(q+1)^3, 1/2*q-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)^2*(q+1)^3, 2*q-6],
[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+1)^3, 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, 1],
[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), 1],
[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)^2*(q^2+1)^2*(q+1)^3, 1/4*q-3/4],
[1/2*q^2*(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)^2, q-1],
[1/2*q^9*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)*(q+1)^2, 1],
[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), 1],
[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)^2*(q^2+1)^2, q-3],
[1/2*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, 2*q-6],
[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-1)^2*(q+1)^4, 1/4*(q-1)*(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+1)^3, 1/2*q-3/2],
[1/2*q*(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, 1/2*(q-1)*(2*q-5)],
[1/2*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)^3, 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), 1/2*q-3/2],
[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+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+1)^2, q-3],
[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+1)^2*(q^2+1)^2, 3/4*(q-3)*(q-5)],
[1/2*(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)^4, 1/2*q-3/2],
[1/2*q^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-3],
[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)^3, 1/2*q-3/2],
[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)^5, 1/2*q-3/2],
[1/2*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)^4, 3/8*(q-3)*(q-5)],
[(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)^4, 1/96*(q-1)*(q-3)*(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+1)^2*(q-1)^4, 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^2+1)^2*(q-1)^3, 1/96*(q-3)*(13*q^2-60*q+23)],
[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)^3, 1/2*q-1/2],
[q*(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, 1/8*(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^2+1)^2*(q-1)^3, 1/4*(q-1)*(q+1)],
[q^3*(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, 1/8*(q-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)*(q-1)^2*(q^2+1)^2, 3/4*(q-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)^3*(q-1)^4, 1/16*(q-1)*(3*q+1)*(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)^3, 1/4*q+1/4],
[(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)^3, 1/32*(q+1)*(13*q^2-30*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-1)^3, 1/2*(q-1)*(q-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, 3/4*q-5/4],
[(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)*(q-1)^2*(q^2+1)^2, 19/32*q^3-91/32*q^2+153/32*q-89/32],
[q^4*(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), 3/2*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)^3*(q-1)^4, 1/12*q*(q-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)*(q-1)^3*(q+1)^3, 1/4*(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-1)^3*(q+1)^4, 1/12*q*(q-1)*(q+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*(q+1)^2, 1/4*(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+1)^2*(q^2+1)^2*(q-1)^3, 1/12*q*(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*(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+1)^3, 1/12*q*(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+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/4*(q-1)^2],
[q^3*(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), 1/2*(q-1)*(q-2)],
[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), 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+1)^2, 1/4*(q-1)^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, 3/2*(q-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)^3*(q+1)^4, 1/16*(3*q-5)*(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)^2*(q+1)^3, 1/32*(q-3)*(13*q^2-4*q-25)],
[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)^3, 1/4*q-3/4],
[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+1)^3, 1/2*(q-1)*(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+1)^2*(q^2+1)^2, 1/32*(19*q-15)*(q-3)^2],
[q^4*(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), 3/2*q-9/2],
[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, 3/4*q-9/4],
[q*(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, 1/8*(q-1)*(q-3)],
[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)^3, 1/2*q-3/2],
[q^3*(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, 1/8*(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+1)^3, 1/4*(q-1)*(q-3)],
[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, 3/4*(q-3)*(q-5)],
[(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)^4, 1/96*(q-7)*(q-3)*(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+1)^2*(q+1)^4, 1/2*(q-3)*(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^2+1)^2*(q+1)^3, 1/96*(q-3)*(13*q^2-138*q+353)],
[1/2*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)^5, 1/48*(q-5)*(q-1)*(q-3)],
[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^2+1)^2*(q-1)^5, 1/2*q-3/2],
[1/2*q^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)^4, 3/8*(q-1)*(q-3)],
[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+1)^2*(q-1)^5, 1/8*(q+1)*(q-1)^2],
[1/2*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)^4, 1/8*(q-1)*(q+1)],
[1/2*q*(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)^4, 1/16*(q-1)*(3*q^2-10*q+11)],
[1/2*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)*(q-1)^3, 1/2*q-1/2],
[1/2*q^3*(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, 1/2*q-1/2],
[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*(q-1)^3, 1/24*(q-5)*(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-1)^2*(q^2+1)^2, 1/8*(q-1)*(q-3)],
[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-1)^5, 1/6*q*(q-1)*(q+1)],
[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*(q-1)^4, 1/4*(q-1)*(q+1)],
[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*(q-1)^4, 1/6*q*(q-1)*(q+1)],
[1/2*q^10*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, 1],
[1/2*q^6*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4, 2],
[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+1)^2*(q-1)^4, q-1],
[1/2*q^9*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)*(q-1)^3, 1/2*q-1/2],
[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)^3, q-1],
[1/2*q^2*(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, 1/2*(q-1)*(2*q-5)],
[1/2*q^9*(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), 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^2+1)^2*(q-1)^3, 2],
[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*(q^2+1)^2, 3/4*(q-1)*(q-3)],
[1/2*q^5*(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],
[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-1)^4, 1/4*(q-1)*(q+1)],
[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+1)^3*(q-1)^4, 1/8*(q-1)*(q-3)*(q+1)],
[1/2*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-1)^3, 1/2*(q-1)*(q-2)],
[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, 1],
[1/2*q^16*(q^2+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, 1],
[1/2*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)^3, 1/24*(q-1)*(11*q^2-28*q+33)],
[1/2*q^5*(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)^2, 1/2*q-3/2],
[1/2*q^16*(q^4-q^3+q^2-q+1)*(q^4+1), 1],
[1/2*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, 3/8*q^2-11/8],
[1/2*q^10*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, 1],
[1/2*q^3*(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)^2, 1/2*q-3/2],
[1/2*q^10*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 1],
[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+1)^2, 1/8*(q+5)*(q-1)],
[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)^2*(q^2+1)^2, 1/8*(q-1)*(3*q^2-10*q+11)],
[1/2*q^5*(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],
[1/2*q^4*(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, 1/2*(q-1)*(q-2)],
[1/2*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), 1],
[1/2*q^3*(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],
[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-1)^3, 1/3*q^3+1/6*q-3/2],
[1/2*q^9*(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)*(q-1)^2, 1/2*q-3/2],
[1/2*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-1)^2, q-3],
[1/2*q^9*(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), 1/2*q-1/2],
[1/2*q^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)^2*(q+1)^2, 5/4*q^2-9/2*q+25/4],
[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+1)^3, 1/6*(q+1)*(2*q^2-2*q+3)],
[1/2*q^9*(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)*(q+1)^2, 1/2*q-1/2],
[1/2*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+1)^2, q-1],
[1/2*q^9*(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), 1/2*q-3/2],
[1/2*q^10*(q^2+1)*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 2],
[1/2*q^5*(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],
[1/2*q^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)*(q^2+1)^2, (q-1)*(2*q-5)],
[1/2*q^5*(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-3],
[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-1)^3*(q+1)^4, 1/8*(q+1)*(q-1)^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-1)^2*(q+1)^4, 1/4*(q-1)*(q+1)],
[1/2*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, 3/8*q^2-1/2*q+9/8],
[1/2*q^16*(q^2+1)*(q^4-q^3+q^2-q+1)*(q+1)^2, 1],
[1/2*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)^3, 11/24*q^3-15/8*q^2+61/24*q-17/8],
[1/2*q^16*(q^4+q^3+q^2+q+1)*(q^4+1), 1],
[1/2*q^5*(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)^2, 1/2*q-1/2],
[1/2*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+1)^3, 1/2*(q-1)*(q-2)],
[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, 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)*(q^4+1), 1],
[1/2*q^3*(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)^2, 1/2*q-1/2],
[1/2*q^10*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)*(q+1)^2, 1],
[1/2*q^4*(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, 1/2*(q-1)*(q-2)],
[1/2*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), 1],
[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)^2*(q^2+1)^2, 1/8*(q-1)*(q-3)*(3*q-7)],
[1/2*q^5*(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-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+1)^2*(q^2+1)^2, 1/8*(q-3)*(q+3)],
[1/2*q^3*(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*(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*(q+1)^4, 1/6*q*(q-1)*(q+1)],
[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*(q+1)^4, 1/4*(q-1)*(q+1)],
[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+1)^5, 1/6*q*(q-1)*(q+1)],
[1/2*q^10*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q+1)^2, 1],
[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+1)^4, 2],
[1/2*q^9*(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), 1/2*q-3/2],
[1/2*q^2*(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, 1/2*(q-1)*(2*q-5)],
[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+1)^2*(q+1)^4, q-3],
[1/2*q^9*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)*(q+1)^3, 1/2*q-3/2],
[1/2*q^6*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4, 2],
[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)^3, q-3],
[1/2*q^5*(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-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+1)^2*(q^2+1)^2, 3/4*(q-3)*(q-5)],
[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-1)^2*(q+1)^5, 1/8*(q-1)*(q-3)*(q+1)],
[1/2*q*(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)^4, 1/16*(q-1)*(q-3)*(3*q-7)],
[1/2*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)*(q+1)^3, 1/2*q-3/2],
[1/2*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)^4, 1/8*(q-1)*(q-3)],
[1/2*q^3*(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, 1/2*q-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+1)^2*(q^2+1)^2, 1/8*(q-3)*(q-5)],
[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*(q+1)^3, 1/24*(q-5)*(q-7)*(q-3)],
[1/2*q^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)^4, 3/8*(q-3)*(q-5)],
[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^2+1)^2*(q+1)^5, 1/2*q-3/2],
[1/2*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)^5, 1/48*(q-5)*(q-7)*(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+1)^2*(q-1)^5, 1/16*q*(q-3)^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)^4, 1/384*(q-1)*(q-3)*(q-5)*(5*q-19)],
[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-1)^4, 1/2*(q-1)*(q-2)],
[q^3*(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, 1/4*(q-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*(q-1)^3, 1/48*(q-1)*(q-3)*(13*q-47)],
[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-1)^5, 1/8*q*(q-1)*(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)^4, 1/4*q+1/4],
[(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)^4, 1/32*(q+1)*(3*q-5)*(q-1)^2],
[q^6*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4, 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+1)^2*(q-1)^4, 1/4*q^3-3/4*q^2+1/2*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)^3, 1/2*q-1/2],
[q^2*(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, 1/8*(q-1)*(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)^3, 1/2*q^2-5/4*q+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)*(q^2+1)^2*(q-1)^3, 1/48*(q-1)*(q-3)*(7*q^2-15*q+26)],
[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, 1/8*(q-1)*(3*q-5)],
[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^2+1)^2, 3/4*(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+1)^2*(q^2+1)^2*(q-1)^4, 1/12*q*(q-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)^3, 3/8*(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-1)^3*(q+1)^3, 1/12*q*(q-1)*(2*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+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/2*(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, 1/2*q-1/2],
[q^3*(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)^2, 1/4*(q-1)^2],
[q^9*(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],
[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, 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)^2*(q^2+1)^2, 1/16*(q-1)*(19*q^2-72*q+93)],
[q^5*(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],
[(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)^4*(q+1)^4, 1/32*(q-1)*(q+1)*(q^2-5)],
[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)^3*(q+1)^3, 1/4*(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^2+1)^2*(q-1)^4*(q+1)^4, 1/8*(q-1)*(q+1)*(q^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^4+1)*(q-1)^3*(q+1)^3, 1/8*(q+1)*(3*q-2)*(q-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)^2*(q+1)^2, 1/4*(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+1)^2*(q^2+1)^2*(q-1)^3, 1/48*q*(11*q^2-18*q+19)],
[q^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)^2*(q+1)^2, 1/2*q*(q-1)],
[q^16*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 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-1)^2*(q^2+1)^2*(q+1)^3, 11/48*q^3-1/4*q^2+7/48*q-3/8],
[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, 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+1)^2*(q^2+1)^2, 1/64*(q-1)*(q-3)*(19*q^2-32*q+53)],
[q^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), 1/2*(q-1)*(2*q-5)],
[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, 1/2*(q-1)*(q-2)],
[q^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)*(q^2+1)^2, 3/2*(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-1)^3*(q+1)^3, 1/12*q*(2*q-5)*(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)^3, 3/8*(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+1)^2*(q+1)^4, 1/12*q*(2*q-5)*(q-1)*(q+1)],
[q^3*(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)^2, 1/4*(q-1)^2],
[q^9*(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-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+1)^3, 1/2*(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, 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+1)^2*(q^2+1)^2, 1/16*(q-1)*(19*q-53)*(q-3)],
[q^5*(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-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, 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+1)^5, 1/8*(q-1)*(q-2)*(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)^2*(q+1)^4, 1/32*(q-1)*(3*q-11)*(q-3)*(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)^4, 1/4*q-3/4],
[q^2*(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, 1/8*(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+1)^4, 1/4*q*(q-2)*(q-3)],
[q^6*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4, 1/2*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)^3, 1/2*q-3/2],
[(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)^3, 1/48*(q-1)*(q-2)*(q-3)*(7*q-29)],
[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, 1/8*(q-3)*(3*q-11)],
[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, 1/4*(q-3)*(2*q-7)],
[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^2+1)^2, 3/4*(q-3)*(q-5)],
[q^3*(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, 1/4*(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+1)^2*(q+1)^4, 1/2*(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^2+1)^2*(q+1)^3, 1/48*(q-5)*(13*q-73)*(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+1)^2*(q+1)^5, 1/16*(q-6)*(q-3)^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)^4, 1/384*(q-3)*(q-5)*(q-7)*(5*q-29)],
[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, 1/16*(q-3)*(q-7)],
[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)^4, 1/2*q-3/2],
[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^2+1)^2*(q-1)^4, 1/16*(5*q-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-3],
[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+1)^4*(q-1)^5, 1/4*(q-1)*(q+1)],
[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)^4, 1/2*(q-1)*(q+1)],
[1/2*q^10*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 2],
[1/2*q^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)^2*(q-1)^3, 3/2*q-1/2],
[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+1)^2*(q-1)^3, 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+1)^2*(q^2+1)^2*(q-1)^3, 1/8*(7*q-5)*(q-3)],
[1/2*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), 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+1)^2*(q^2+1)^2, 1/2*q+1/2],
[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-1)^2*(q^2+1)^2, 2],
[1/2*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-1)^2*(q^2+1)^2, 3/2*q-1/2],
[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^4+1)*(q-1)^4*(q+1)^5, 1/4*(q-1)*(q+1)],
[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)^4, 1/2*(q-1)*(q+1)],
[1/2*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-1)^2*(q+1)^3, 2],
[1/2*q^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)^2*(q+1)^3, 2*q-6],
[1/2*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+1)^3, 2],
[1/2*q^10*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(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-1)^2*(q+1)^2*(q^2+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^4+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/8*(7*q-13)*(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+1)^2*(q+1)^3, q-3],
[1/2*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+1)^2*(q^2+1)^2, q-3],
[1/2*q^2*(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)^4, 1/2*q-3/2],
[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^2+1)^2*(q+1)^4, 1/16*(q-3)*(5*q-19)],
[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)^4, 1/2*q-3/2],
[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, 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^4+1)*(q^2+1)^2*(q+1)^5, 1/16*(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*(q-1)^5, 1/3840*(q-3)*(q-7)*(q^3-10*q^2+29*q-80)],
[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*(q-1)^4, 1/384*(q-1)*(q-3)*(q-5)*(5*q-19)],
[(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)^5, 1/192*(q-2)*(q-3)*(q+1)*(q-1)^2],
[q^2*(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)^4, 1/96*(q-1)*(q-3)*(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, 1/16*q*(q-3)^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)^4, 1/768*(q-3)*(q^2-q+6)*(5*q^2-26*q+17)],
[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)^3, 1/48*(q-5)*(q-1)*(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)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/96*(q-3)*(13*q^2-60*q+23)],
[(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-1)^5, 1/48*q*(q+1)*(q-1)^3],
[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)^4, 1/32*(q+1)*(3*q-5)*(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+1)^3*(q-1)^4, 1/48*q*(q+1)*(q-1)^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-1)^3, 1/4*(q-1)^2],
[q^3*(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, 1/8*(q-1)*(q+1)],
[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-1)^2, 1/8*(q-1)*(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+1)^2*(q-1)^3, 1/2*(q-1)*(q-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*(q-1)^3, 1/48*(q-1)*(q-3)*(7*q^2-15*q+26)],
[q^5*(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, 3/8*(q-1)*(q-3)],
[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*(q^2+1)^2, 1/4*(q-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)^4*(q-1)^5, 1/64*(q-1)*(q^2-q-4)*(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)^3*(q-1)^4, 1/16*(q-1)*(3*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-1)^4, 1/8*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^2+1)^2*(q+1)^4*(q-1)^5, 1/16*q*(q-1)*(q+1)*(q^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^4+1)*(q+1)^3*(q-1)^4, 1/64*(q-1)*(q+1)*(7*q^3-8*q^2+q-16)],
[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+1)^2*(q-1)^3, 1/4*q+1/4],
[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)^2*(q-1)^3, 1/8*(q+1)*(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-1)^4, 1/12*q*(q-1)*(2*q-1)*(q+1)],
[q^10*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, 1/2*q-1/2],
[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-1)^3, 1/4*q+1/4],
[q^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)^2*(q-1)^3, 1/32*(q+1)*(13*q^2-30*q-3)],
[q^16*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 1/2*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^2+1)^2*(q-1)^3*(q+1)^3, 1/12*q*(q-1)*(2*q-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+1)^2*(q-1)^3, 1/4*q^3-3/4*q^2+1/2*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-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)^2*(q^2+1)^2*(q-1)^3, 1/384*(q-3)*(13*q^4-33*q^3+35*q^2-219*q+84)],
[q^4*(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)^2, 1/16*(q-1)*(3*q^2-10*q+11)],
[q^10*(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],
[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), 1/4*q-3/4],
[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+1)^2*(q^2+1)^2, 1/16*(q-3)*(q^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+1)^2, 1/4*q-3/4],
[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-1)^2*(q^2+1)^2, 19/32*q^3-91/32*q^2+153/32*q-89/32],
[q^6*(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), 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)^4*(q-1)^5, 1/24*q*(q-1)^2*(q+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-1)^4*(q+1)^4, 1/32*(q-1)*(q+1)*(q^2-5)],
[(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)^4*(q+1)^5, 1/24*q*(q-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+1)^3*(q-1)^4, 1/12*q*(q-1)*(q+1)],
[(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4*(q-1)^5, 1/10*q*(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+1)*(q^2+1)^2*(q-1)^4*(q+1)^5, 1/10*q*(q-1)*(q+1)*(q^2+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)^3*(q+1)^3, 1/4*(q-1)*(q+1)],
[q^9*(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, 1/4*(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-1)^3*(q+1)^4, 1/12*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)^3*(q-1)^4, 1/12*q^2*(q-1)*(q-2)*(q+1)],
[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)^3, 1/6*q*(q-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^2+1)^2*(q-1)^4*(q+1)^4, 1/8*(q-1)*(q+1)*(q^2+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)^3*(q+1)^3, 1/8*(q+1)*(3*q-2)*(q-1)^2],
[q^25, 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)*(q-1)^2*(q+1)^2, 1/4*(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)^3*(q+1)^4, 1/12*q^2*(q-1)*(q-2)*(q+1)],
[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)^3, 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)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^3, 1/12*q*(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-1)^2, 1/4*(q-1)^2],
[q^3*(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*(q-1)],
[q^9*(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), 1/2*(q-1)*(q-2)],
[q^17*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 1],
[q^13*(q^4+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 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^2+1)^2*(q+1)^3, 1/12*q*(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+1)^2, 1/4*(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-1)^2*(q^2+1)^2, 1/2*(q-1)*(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+1)^2*(q^2+1)^2, 1/64*(q-1)*(q-3)*(19*q^2-32*q+53)],
[q^5*(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), 1/2*(q-1)*(2*q-5)],
[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+1)^2*(q^2+1)^2, 1/2*(q-1)*(q-2)],
[q^3*(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^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)^4*(q+1)^5, 1/64*(q-3)*(q+2)*(q+1)*(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)^3*(q+1)^4, 1/16*(3*q-5)*(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^2+1)^2*(q-1)^4*(q+1)^5, 1/16*(q-1)*(q-2)*(q+1)*(q^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^4+1)*(q-1)^3*(q+1)^4, 1/64*(q-1)*(q+1)*(7*q^3-22*q^2+13*q-6)],
[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-1)^2*(q+1)^3, 1/4*q-3/4],
[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)^2*(q+1)^3, 1/8*(q-1)*(q-3)*(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+1)^4, 1/8*(q-1)*(q-2)*(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+1)^2*(q-1)^3*(q+1)^3, 1/12*q*(2*q-5)*(q-1)*(q+1)],
[q^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)^2*(q+1)^3, 1/32*(q-3)*(13*q^2-4*q-25)],
[q^16*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 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+1)^2*(q+1)^4, 1/12*q*(2*q-5)*(q-1)*(q+1)],
[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+1)^3, 1/4*q-3/4],
[q^10*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 1/2*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-1)^2*(q+1)^2*(q^2+1)^2, 1/16*q*(q-3)^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^2+1)^2*(q+1)^3, 1/384*(q-3)*(13*q^4-59*q^3+69*q^2-193*q+242)],
[q^4*(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)^2, 1/16*(q-1)*(q-3)*(3*q-7)],
[q^10*(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-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), 1/4*q-3/4],
[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+1)^2*(q+1)^3, 1/4*q*(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-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+1)^2*(q^2+1)^2, 1/32*(19*q-15)*(q-3)^2],
[q^6*(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), 1/2*q-3/2],
[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+1)^2, 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+1)^2*(q-1)^3*(q+1)^4, 1/48*q*(q-1)*(q+1)*(q-3)^2],
[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)^4, 1/32*(q-1)*(3*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-1)^2*(q^2+1)^2*(q+1)^5, 1/48*q*(q-1)*(q+1)*(q-3)^2],
[q^3*(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, 1/8*(q-1)*(q-3)],
[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+1)^2, 1/8*(q-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)^3, 1/4*(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^2+1)^2*(q+1)^3, 1/48*(q-1)*(q-2)*(q-3)*(7*q-29)],
[q^5*(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, 3/8*(q-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+1)^2*(q+1)^3, 1/2*(q-3)*(q-4)],
[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*(q^2+1)^2, 1/4*(q-3)*(q-5)],
[(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)^5, 1/192*(q-1)*(q-3)*(q-4)*(q-5)*(q+1)],
[q^2*(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)^4, 1/96*(q-7)*(q-3)*(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*(q+1)^4, 1/768*(q-3)*(5*q^4-61*q^3+247*q^2-431*q+408)],
[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)^3, 1/48*(q-5)*(q-7)*(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, 1/16*(q-6)*(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^2+1)^2*(q+1)^3, 1/96*(q-3)*(13*q^2-138*q+353)],
[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*(q+1)^4, 1/384*(q-3)*(q-5)*(q-7)*(5*q-29)],
[(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, 1/3840*(q-11)*(q-7)*(q-3)*(q^2-9*q+30)]
];