DegreesAndMultiplicitiesC5ad_3mod4 := [
[1, 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, 2],
[1/2*q*(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+1)^2, 2],
[1/2*q*(q^4+q^3+q^2+q+1)*(q^4+1), 2],
[(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 1/2*q-1/2],
[(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-1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1), 1],
[(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 1],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2, 1/4*q+1/4],
[(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 1/4*q-3/4],
[q^2*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 1],
[q*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 1],
[(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2, 1/4*q-3/4],
[(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 1/4*q-3/4],
[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, 2],
[1/2*q^2*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 4],
[1/2*q^2*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 2],
[(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 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^2*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 1],
[(q-1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), q-1],
[(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],
[q^3*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 2],
[q^3*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 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],
[(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^4*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 2],
[1/2*q^4*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 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-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), 2],
[1/2*q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(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), 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^2*(q^2+1)*(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)],
[q*(q^4+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)^3, 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, 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), 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), 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), 2],
[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), 4],
[1/2*q^3*(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^3*(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, 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+1)^2, 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, 2],
[q*(q+1)*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2, 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, 9/4*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), 1],
[(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), 1/4*q+1/4],
[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, 1/4*q-3/4],
[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), 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, 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+1)^2, 1/4*q-3/4],
[(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), 3/4*q-9/4],
[(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, 7/4*q-21/4],
[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, 1/4*q-3/4],
[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^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^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, 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, 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), 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^2+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-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^5*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1), 2],
[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, 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, 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, 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^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-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, 5/16*q^2-11/8*q+37/16],
[(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, 1/16*(q+1)*(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-1)^2, 1/4*q+1/4],
[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)^2, 7/4*q-9/4],
[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-1)^2, 1/4*q+1/4],
[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), 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), 3/4*q-9/4],
[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), 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), 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)^3, 1/8*(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+1)^3, 1/8*(q-1)*(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, 1/2*(q-1)*(q-3)],
[q^4*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1), 1],
[q^6*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 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, 1/2*(q-1)*(q-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],
[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), 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+1)^2, 1/4*q-3/4],
[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), 3/4*q-9/4],
[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+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), 3/4*q-9/4],
[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)^2, 5/4*q-15/4],
[(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), 1/4*q-3/4],
[(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, 1/16*(q-3)*(q-7)],
[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, 1/16*(q-3)*(5*q-23)],
[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^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, 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, 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), 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, 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)^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*(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^6*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1), 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, 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, 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, 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-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],
[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, 1/4*q^2-q+7/4],
[(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, 1/4*q+1/4],
[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), 1],
[(q^4+q^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), 1/2*q-3/2],
[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), 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)*(q-3)],
[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), 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), 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, 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, 1/4*(q-3)*(q-5)],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^4, 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)^4, 1/8*(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-1)^3, 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, 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)^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-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*(q^2+1)*(q^4-q^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^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],
[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+7)*(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), 2],
[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^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^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, 2],
[1/2*q^9*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 2],
[1/2*q^9*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 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)^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), 2],
[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), 4],
[1/2*q^9*(q^2+1)*(q^4+q^3+q^2+q+1)*(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-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^4+q^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, 1/8*(3*q-1)*(q-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+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)^3, 1/2*(q-1)*(q-2)],
[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^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],
[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*(q^4+q^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^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],
[1/2*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, 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)^3, q-3],
[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^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)^4, 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)^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-3)*(q^2-3*q+8)],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^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^2+1)^2*(q-1)^3, 1/4*(2*q-5)*(q-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, 1/4*q^2+3/4*q-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-1)^3, 1/8*q*(q-1)*(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, 1/4*q+1/4],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 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)*(q-1)^2, 1/16*(3*q-5)*(q^2-q+2)],
[q^6*(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],
[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), 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-1)^2*(q^2+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), 5/4*q-7/4],
[(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, 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)^3, 1/6*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-1)^2*(q+1)^3, 1/6*q*(q-1)*(q+1)],
[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), 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^2-9/4*q+13/4],
[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^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+1)^2*(q^2+1)^2, 1/4*(2*q-1)*(q-3)],
[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), 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)^3, 1/8*(q-1)*(q-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, 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)^2, 3/16*q^3-7/8*q^2+23/16*q-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), 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, 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), 5/4*q-15/4],
[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, 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, 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, 1/4*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^2+1)^2*(q+1)^3, 1/4*(q-3)*(2*q-11)],
[(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-3)*(q^2-9*q+26)],
[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)^5, 1/4*q-3/4],
[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-1)^4, 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)^4, 1/4*q+1/4],
[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, 1/4*q-3/4],
[1/2*q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^4, 1/4*q-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)^3, 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)^2, 1/2*q+1/2],
[1/2*q^7*(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],
[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, 1/4*q-3/4],
[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+1)^2*(q-1)^3, 1/4*q-3/4],
[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],
[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, 3/4*q-1/4],
[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, 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^2+1)^2, 2],
[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)^2, 1/2*q+1/2],
[1/2*q^7*(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],
[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)^2, 1/2*q-3/2],
[1/2*q^7*(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^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, 1/4*q+5/4],
[1/2*q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/4*q-3/4],
[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-1)^2*(q+1)^3, 1/4*q+1/4],
[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, 3/4*q-9/4],
[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],
[1/2*q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2, 2],
[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, 1/2*q-3/2],
[1/2*q^7*(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, 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+1)^4, 1/4*q-3/4],
[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)^2, 1/2*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, 1/4*q-3/4],
[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)^4, 1/4*q-3/4],
[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+1)^4, 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)^3, 1/4*q-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)^5, 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)^4, 1/16*(q-3)*(q^2-4*q+11)],
[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, 5/16*q^2-11/8*q+37/16],
[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, 3/16*(q+1)*(q-3)],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/2*(q-2)*(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^2+5/4*q-15/8],
[(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-1)^2*(q^2+1)^2, 1/16*(7*q-13)*(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-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)^3, 1/8*(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-q^2+2*q-7/4],
[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, 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-1)^2, 1/16*(9*q-7)*(q-3)],
[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), 1],
[(q^4+q^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-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*q-3],
[q^5*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 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+1)*(q^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, 1/4*q+1/4],
[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, 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, 5/8*(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, 1/8*(3*q-1)*(3*q-5)],
[q^10*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^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-1)^2*(q^2+1)^2, 1/2*q^2-9/4*q+13/4],
[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), 2],
[q^6*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 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+1)^2*(q^2+1)^2, 1/4*(2*q-1)*(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, 1/4*(4*q-5)*(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), 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+1)^3, 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)*(q^4+1)*(q-1)^2*(q+1)^4, 1/8*(q-1)*(q-3)*(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-3)*(q^2-4*q+7)],
[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, 9/16*q^2-17/8*q+37/16],
[(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)*(q^2-3*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, 1/2*q-3/2],
[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+1)^2, 3/4*q-9/4],
[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-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, 3/2*q-9/2],
[q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[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, 1/16*(q-3)*(3*q-13)],
[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+5)*(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, 1/2*(q-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^2+1)^2, 1/16*(q-3)*(7*q-37)],
[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, 1/16*(q-3)*(5*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^2+1)^2*(q+1)^4, 1/16*(q-3)*(q^2-10*q+29)],
[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, 1/4*q^2-q+7/4],
[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, 1],
[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, 1/2*q-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)^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)*(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+1)^2*(q-1)^3, q-3],
[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, 1/2*q^2-2*q+7/2],
[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^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, 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)^2, 1/2*q-3/2],
[1/2*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), 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^2+1)^2, 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+1)^2, 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, 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-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, 1/2*q^2-3*q+11/2],
[1/2*q^11*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 4],
[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, 2],
[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)*(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^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, 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)^2, 1/2*q-3/2],
[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)^2, 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^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^2+1)^2, 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+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)*(q-3)],
[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-3],
[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, 1/2*(q-3)*(q-5)],
[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, 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, 1/4*(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, 1/4*(2*q-5)*(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*(q-1)^3, 1/96*(q-3)*(13*q^2-78*q+149)],
[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*(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, 3/16*(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, 5/16*q^2-7/8*q+13/16],
[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^2+5/4*q-15/8],
[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, 1/16*(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, 3/16*(7*q-13)*(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, 3/16*(q+1)*(q-1)^2],
[q^3*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-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^2-18*q+1)],
[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)^2, 1/4*q+1/4],
[q^10*(q-1)*(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^2+1)^2*(q-1)^3, 1/2*q^2-9/4*q+13/4],
[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-1)^2, 1/4*q+1/4],
[q^6*(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), 3/4*q-9/4],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 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-1)^2*(q^2+1)^2, 19/32*q^3-109/32*q^2+229/32*q-187/32],
[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), 5/4*q-7/4],
[q^3*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/4*q+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, 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)^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, 5/8*(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)*(q^4+1)*(q-1)^3*(q+1)^4, 1/12*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)*(q^4+1)*(q+1)^2*(q-1)^3, 1/8*(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^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, 1/8*(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^12*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 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, 11/8*q^2-9/4*q+3/8],
[(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^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, 1/2*(q-1)*(q-3)],
[q^6*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1), 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), 1/2*(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), 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), 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+1)^2*(q^2+1)^2, 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, 3/4*(4*q-5)*(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, 1],
[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), 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, 3/16*(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*(q+1)^3, 1/32*(q-3)*(13*q^2-18*q+1)],
[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)^2, 1/4*q-3/4],
[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^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+1)^2, 1/4*q-3/4],
[q^6*(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), 3/4*q-9/4],
[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, 1/4*(2*q-1)*(q-3)],
[q^3*(q-1)*(q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2, 3/4*q-9/4],
[(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, 1/32*(q-3)*(19*q^2-90*q+67)],
[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), 5/4*q-15/4],
[q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 3/2*q-9/2],
[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, 3*q-9],
[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, 1/16*(q-3)*(3*q-13)],
[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^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, 1/16*(q-3)*(q-7)],
[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+5)*(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, 5/16*(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, 3/16*(q-3)*(7*q-37)],
[(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-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)^4, 1/4*(q-3)*(2*q-11)],
[(q^2+q+1)*(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^2-156*q+479)],
[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-3)*(q^2-3*q+8)],
[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, 1/4*q^2-q+7/4],
[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+1)^2*(q-1)^5, 1/8*q*(q-1)*(q+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-1)^4, 1/4*q+1/4],
[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-3)*(q+3)],
[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*(3*q-5)*(q^2-q+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, 1/4*q-3/4],
[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*(q-1)^3, 1/24*(q-3)*(q^2-3*q+8)],
[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*(q^2+1)*(q^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^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)^3, 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)*(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+q+1)*(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, 1/2*q^2-2*q+7/2],
[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^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-2)*(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*(q-1)^3, 1/4*q-3/4],
[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^16*(q^2+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, 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)^2*(q-1)^3, 1/24*(q-1)*(11*q^2-13*q+24)],
[1/2*q^16*(q^4-q^3+q^2-q+1)*(q^4+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)^2*(q+1)^2, 3/8*q^2-11/8],
[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-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, 3/4*q-1/4],
[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-1)^2*(q^2+1)^2, 1/8*(q+7)*(q-3)],
[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*(3*q-5)*(q^2-q+2)],
[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^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, 1/2*q-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^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^2+1)^2*(q-1)^3, 1/3*q*(q-1)*(q+1)],
[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, 1/2*q^2-3*q+11/2],
[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*(q^2+1)^2*(q+1)^3, 1/3*q*(q-1)*(q+1)],
[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^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), 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)*(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*(q^2+q+1)*(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*(q-1)*(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^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)^3, 1/4*q+1/4],
[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, 1/8*(3*q-1)*(q-1)],
[1/2*q^16*(q^2+1)*(q^4-q^3+q^2-q+1)*(q+1)^2, 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)^2*(q+1)^3, 1/24*(q-2)*(11*q^2-8*q+21)],
[1/2*q^16*(q^4+q^3+q^2+q+1)*(q^4+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^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, 3/4*q-9/4],
[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+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*(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, 3/8*q^3-7/4*q^2+23/8*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^2+1)^2, 1/8*(q-3)*(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, 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, 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)^3*(q+1)^4, 1/6*q*(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^7*(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],
[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)*(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^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, 1/2*(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-2)*(q+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+1)^4, 1/4*q-3/4],
[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, 3/16*q^3-7/8*q^2+23/16*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-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, 1/4*q-3/4],
[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+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-3)*(q^2-9*q+26)],
[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, 1/4*(q-3)*(q-5)],
[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-3)*(q^2-9*q+26)],
[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-3)*(q^2-4*q+11)],
[(q^2+q+1)*(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)*(5*q^3-49*q^2+175*q-347)],
[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, 1/4*(2*q-5)*(q-3)],
[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, 5/16*q^2-11/8*q+37/16],
[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-3)*(13*q^2-78*q+149)],
[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-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, 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-3/2],
[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-q^2+2*q-7/4],
[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)^3, 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)*(q-1)^3, 3/16*(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+1)^2*(q-1)^3, 1/2*(q-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)^3, 7/48*q^4-43/48*q^3+119/48*q^2-197/48*q+27/8],
[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, 1/4*q^2+3/4*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)^2*(q^2+1)^2, 3/16*(7*q-13)*(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-1)^3, 1/8*(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)^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^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-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^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^2-9/4*q+13/4],
[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-1)^2, 7/4*q-9/4],
[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, 1/16*(9*q-7)*(q-3)],
[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^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), 1],
[q^6*(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), 1/4*q+1/4],
[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-1)^2*(q^2+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, 19/16*q^3-109/16*q^2+229/16*q-187/16],
[q^7*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 1/4*q-3/4],
[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), 1/2*q-3/2],
[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, 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)^4*(q+1)^4, 1/32*(q-1)*(q+3)*(q-3)*(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)^3*(q+1)^3, 5/8*(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^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)*(q-2)*(3*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, 11/48*q^3-7/16*q^2+49/48*q-21/16],
[q^13*(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*(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, 11/8*q^2-9/4*q+3/8],
[q^12*(q^4+1)*(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, 1/48*(q-1)*(11*q^2-4*q+9)],
[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^2-9/4*q+13/4],
[(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*(q^2+1)^2, 19/64*q^4-27/16*q^3+117/32*q^2-71/16*q+187/64],
[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^2-q-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],
[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, 1/4*(2*q-1)*(q-3)],
[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, 3/4*(4*q-5)*(q-3)],
[q^8*(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^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)^3, 1/8*(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)^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^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+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-1)^2*(q^2+1)^2*(q+1)^4, 1/12*q*(2*q-5)*(q-1)*(q+1)],
[q^6*(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), 3/4*q-9/4],
[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, 9/16*q^2-17/8*q+37/16],
[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, 1/4*(2*q-1)*(q-3)],
[q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+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+1)^2*(q^2+1)^2, 1/16*(q-3)*(19*q^2-90*q+67)],
[q^7*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 1/4*q-3/4],
[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), 1/2*q-3/2],
[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, 1/2*q-3/2],
[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, 2*q-6],
[q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^5, 1/8*(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*(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, 1/16*(q-3)*(3*q-13)],
[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)*(q^2-3*q+1)],
[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-3)*(7*q^3-50*q^2+113*q-46)],
[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, 1/4*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^2+1)^2*(q+1)^3, 1/2*(q-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, 3/16*(q-3)*(7*q-37)],
[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, 1/16*(q-3)*(5*q-23)],
[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, 1/4*(q-3)*(2*q-11)],
[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-3)*(13*q^2-156*q+479)],
[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-3)*(q^2-10*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)^4, 1/384*(q-3)*(q-7)*(5*q^2-54*q+181)],
[(q^2+q+1)*(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-3)*(5*q^3-49*q^2+175*q-347)],
[(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-7)*(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-3)*(q^2-4*q+11)],
[(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*(5*q^3-16*q^2+25*q-50)*(q-3)^2],
[q^4*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^3, 1/48*(q-3)*(q^2-3*q+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^2+1)^2*(q-1)^3, 1/96*(q-3)*(13*q^2-78*q+149)],
[(q^4+q^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, 5/16*q^2-11/8*q+37/16],
[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, 3/16*(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-1)*(q-3)],
[q^6*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/16*(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, 1/4*(2*q-5)*(q-3)],
[q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 7/48*q^4-43/48*q^3+119/48*q^2-197/48*q+27/8],
[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, 1/4*q^2-q+7/4],
[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, 1/16*(7*q-13)*(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, 3/16*(q+1)*(q-1)^2],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q-1)^4, 1/8*(q+1)*(q-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^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+8)],
[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*(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)^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-3/2],
[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^12*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q-1)^2, 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^2-18*q+1)],
[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^6*(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, 1/4*q+1/4],
[q^12*(q-1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 1/4*q-3/4],
[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+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-q^2+2*q-7/4],
[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, 9/4*q-15/4],
[(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^2+1)^2*(q-1)^3, 1/384*(q-3)*(13*q^4-33*q^3+35*q^2-51*q+60)],
[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*(3*q-5)*(q^2-q+2)],
[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^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-1)^2],
[q^7*(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), 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+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^3-109/32*q^2+229/32*q-187/32],
[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), 1/4*q-3/4],
[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^2+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)^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+3)*(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*(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^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)^3, 1/8*(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, 5/8*(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^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)^3, 1/8*(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^20*(q-1)*(q^4+q^3+q^2+q+1), 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)*(q-2)*(3*q+1)*(q+1)],
[q^25, 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, 1/12*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, 1/2*(q-1)*(q-3)],
[q^10*(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],
[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, 1/8*(3*q-1)*(3*q-5)],
[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^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, 1/2*(q-1)*(q-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^2-9/4*q+13/4],
[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+1)^2*(q^2+1)^2, 19/64*q^4-27/16*q^3+117/32*q^2-71/16*q+187/64],
[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)*(q-3)],
[q^11*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 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+1)^2*(q^2+1)^2, 1/4*(2*q-1)*(q-3)],
[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, 1/4*(4*q-5)*(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+1)*(q^3-2*q^2-5*q+14)],
[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, 3/16*(q-1)*(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^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+18)],
[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-2)*(q+1)],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^4, 1/8*(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)^3*(q+1)^3, 1/12*q*(2*q-5)*(q-1)*(q+1)],
[q^12*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+1)^2, 1/4*q-3/4],
[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-3)*(13*q^2-18*q+1)],
[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^6*(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, 1/4*q-3/4],
[q^12*(q+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 1/4*q-3/4],
[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+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-3)*(q^2-4*q+7)],
[q^7*(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), 3/4*q-9/4],
[(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^2+1)^2*(q+1)^3, 1/384*(q-3)*(13*q^4-59*q^3+69*q^2-25*q+26)],
[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, 3/16*q^3-7/8*q^2+23/16*q-1/2],
[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^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)*(q^2-3*q+1)],
[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, 7/4*q-21/4],
[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, 1/32*(q-3)*(19*q^2-90*q+67)],
[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), 1/4*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+1)^2, 1/4*q-3/4],
[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^2+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^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^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, 1/16*(q-3)*(q-7)],
[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, 1/16*(q-3)*(3*q-13)],
[q^9*(q^2+1)*(q^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q+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, 1/16*(q-3)*(5*q-23)],
[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-3)*(7*q^3-50*q^2+113*q-46)],
[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, 1/4*(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, 1/4*(q-3)*(2*q-11)],
[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, 1/16*(q-3)*(7*q-37)],
[(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-5)*(q-7)*(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)^4, 1/768*(q-3)*(5*q^4-61*q^3+247*q^2-383*q+72)],
[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-3)*(q^2-9*q+26)],
[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-3)*(q^2-10*q+29)],
[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^2-156*q+479)],
[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-7)*(5*q^2-54*q+181)],
[(q^2+q+1)*(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)]
];