DegreesAndMultiplicitiesC5ad_1mod4 := [
[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^4+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1), 1],
[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+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-1/4],
[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-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-5/4],
[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-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), 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), 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), 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*(q+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-5/2],
[(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^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^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*(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^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^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*(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^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^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*(q^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^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+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-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, 7/4*q-7/4],
[(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-3/4],
[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-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), 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-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), 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), 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, 9/4*q-33/4],
[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-5/4],
[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-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, 1/16*(q-1)*(5*q-13)],
[(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-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, 1/4*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, 5/4*q-5/4],
[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^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-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-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), 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-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-2)],
[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-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^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^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-1)*(q^2-q+1)*(q^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-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^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-15/4],
[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-23/4],
[(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-5/4],
[(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-1)*(q-5)],
[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-5/2],
[(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^2-21/8*q+101/16],
[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-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, 1/4*(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-1/4],
[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-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), 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-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^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-5/2],
[(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-5/4],
[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-5/2],
[(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^2-2*q+19/4],
[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)^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+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^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^2+1)*(q^4+q^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^2-19/8],
[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+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^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, 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^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^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^4+q^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+5)],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2+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^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^2+1)*(q^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-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*(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-1)*(q^2-5*q+12)],
[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, 1/4*(q-1)*(2*q-7)],
[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)*(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)^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-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^2-5*q+6)],
[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-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), 5/4*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^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, 1/4*(q-1)*(2*q-5)],
[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-1)*(q^4+q^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-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), 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-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)^2, 1/16*(q-1)*(3*q^2-11*q+12)],
[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-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-5/2],
[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-17/4],
[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-5/2],
[(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-5/2],
[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^2-1/4*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*(2*q-9)*(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^2-7*q+18)],
[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-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)^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-1/4],
[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-5/4],
[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-1/4],
[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^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-7/4],
[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-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^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^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-1/4],
[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+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-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^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-5/2],
[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+1)^4, 1/4*q-1/4],
[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^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^2+1)*(q^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^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*(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^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-5/4],
[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-5/4],
[(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-1)*(q^2-6*q+13)],
[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-1)*(5*q-13)],
[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, 1/16*(q-1)*(3*q-7)],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/2*(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-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+7)*(q-1)],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/16*(q-1)*(7*q-23)],
[(q^2+1)*(q^4+q^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-1)*(q^2-3*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-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, 3/16*(q-1)*(3*q-7)],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/16*(q-1)*(q^2-4*q+7)],
[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-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-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, 3/4*q-3/4],
[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, 9/8*(q-1)^2],
[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, 1/4*(q-1)*(2*q-5)],
[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*(q-1)],
[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*(q-1)*(2*q-7)],
[(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/4*(q-1)*(4*q-13)],
[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-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+1)^2*(q^2+1)^2, 1/16*(q-1)*(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*(q-1)*(9*q-29)],
[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-1)*(q^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^2-5*q+7)],
[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-5/2],
[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^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, 2*q-7],
[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-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-5)],
[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-5/2],
[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+3/4*q-31/8],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-4)*(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*(7*q-27)*(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, 5/16*q^2-21/8*q+101/16],
[(q^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-5)*(q^2-8*q+23)],
[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, 1/4*(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, 1/2*q-1/2],
[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-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, 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-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)^2, 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-5/2],
[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-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)*(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-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-5/2],
[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^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-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)^2, 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^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-5],
[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-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*(q^2-q+1)*(q^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^2-4*q+19/2],
[1/2*q^4*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q+1)^3, 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-5/2],
[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-5/2],
[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^2-2*q+19/4],
[(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)^4, 1/96*(q-5)*(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)^4, 1/4*(q-1)*(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^2+1)^2*(q-1)^3, 1/96*(q-1)*(13*q^2-104*q+219)],
[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, 1/16*(q-1)*(3*q-7)],
[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-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, 1/8*(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-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/16*(q-1)*(q-5)],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 3/16*(q-1)*(7*q-23)],
[(q^2-q+1)*(q^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*(13*q-5)*(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)*(q-1)^2, 1/4*q-1/4],
[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*(q-1)*(2*q-5)],
[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-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^2+1)^2, 3/2*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-1)^2*(q^2+1)^2, 1/32*(q-1)*(19*q^2-90*q+119)],
[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-5/4],
[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, 3/4*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^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*(q^2+1)*(q^2-q+1)*(q^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*(11*q-7)*(q-1)],
[q^12*(q+1)*(q^2+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*(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-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*(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), 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-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*(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*(q-1)*(4*q-13)],
[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-1)*(13*q^2-44*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+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^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^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-15/4],
[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*(q-1)*(2*q-7)],
[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-1)*(q^2-q+1)*(q^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-1)*(19*q^2-128*q+229)],
[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-17/4],
[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-7],
[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, 3/16*(q-1)*(q-5)],
[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-5/2],
[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-1)*(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)^2, 1/8*q^2+3/4*q-31/8],
[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^2-17/8*q+61/16],
[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+1)^2*(q^2+1)^2, 3/16*(7*q-27)*(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-5)*(q-1)*(q-9)],
[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-9)*(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^2+1)^2*(q+1)^3, 1/96*(q-5)*(13*q^2-130*q+357)],
[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-1)*(q^2-5*q+12)],
[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-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*(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-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^2-5*q+6)],
[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-1/4],
[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-1)*(q^2-5*q+12)],
[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+1)*(q^4+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^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-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-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-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)^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^2-19/8],
[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-7/4],
[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+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^2-5*q+6)],
[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-1/2],
[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, 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, 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-3/4],
[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, 1/8*(q-1)*(3*q^2-11*q+12)],
[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+5)],
[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-5/2],
[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^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+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^2-4*q+19/2],
[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+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-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)^4, 1/16*(q-1)*(3*q^2-11*q+12)],
[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-5)],
[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-5/4],
[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-5)*(q^2-7*q+18)],
[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^2-2*q+19/4],
[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)^5, 1/48*(q-5)*(q^2-7*q+18)],
[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-1)*(q^2-6*q+13)],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4, 1/384*(q-1)*(q-5)*(5*q^2-34*q+93)],
[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-1)*(2*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)^3, 1/16*(q-1)*(5*q-13)],
[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)*(13*q^2-104*q+219)],
[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-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-1)*(q^2-3*q+3)],
[q^5*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-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, 1/16*(q-1)*(3*q-7)],
[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-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^2+1)^2*(q-1)^3, 1/48*(q-1)*(q-2)*(7*q^2-22*q+39)],
[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)*(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^2+1)^2, 3/16*(q-1)*(7*q-23)],
[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, 1/4*(q-1)*(2*q-5)],
[q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 5/4*q-5/4],
[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, 3/16*(q-1)*(3*q-7)],
[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^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-3/4],
[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-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^2-90*q+119)],
[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-1/4],
[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-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, 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, 1/48*(q-1)*(11*q^2-10*q+27)],
[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, 1/8*(11*q-7)*(q-1)],
[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+21)],
[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^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*(q-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)^2*(q+1)^2*(q^2+1)^2, 1/64*(q-1)*(19*q^3-89*q^2+145*q-139)],
[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^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*(q-1)*(2*q-7)],
[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*(q-1)*(4*q-13)],
[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-1/4],
[(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q+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), 1/4*q-1/4],
[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*(q-1)*(9*q-29)],
[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^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^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-1)*(2*q-7)],
[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-23/4],
[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-1)*(19*q^2-128*q+229)],
[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-5/4],
[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-5/2],
[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-5/2],
[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-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)^3, 3/16*(q-1)*(q-5)],
[q*(q-1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4, 1/4*(q-1)*(q^2-5*q+7)],
[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-5/2],
[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-5/2],
[(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)*(7*q^3-64*q^2+199*q-222)],
[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^2-1/4*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^2+1)^2*(q+1)^3, 1/2*(q-4)*(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*(7*q-27)*(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, 5/16*q^2-21/8*q+101/16],
[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-9)*(q-5)],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/48*(q-5)*(13*q^2-130*q+357)],
[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-5)*(q^2-8*q+23)],
[(q^2-q+1)*(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-5)*(5*q^3-79*q^2+431*q-933)],
[(q^2-q+1)*(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-5)*(q-1)*(q-9)*(q^2-5*q+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)^4, 1/384*(q-1)*(q-5)*(5*q^2-34*q+93)],
[(q^2+1)*(q^2-q+1)*(q^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-5)*(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)^4, 1/16*(q-1)*(q^2-6*q+13)],
[(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4, 1/768*(q-1)*(5*q^4-41*q^3+125*q^2-219*q+162)],
[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-1)*(q^2-5*q+12)],
[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-1)*(13*q^2-104*q+219)],
[(q^4+q^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, 1/16*(q-1)*(5*q-13)],
[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-1)*(3*q-7)],
[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-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-1)*(2*q-7)],
[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)*(7*q^2-22*q+39)],
[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-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, 1/16*(q-1)*(7*q-23)],
[(q^2-q+1)*(q^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-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^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*(13*q-5)*(q-1)^2],
[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-1/4],
[q*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^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-1)*(q^2-3*q+3)],
[q^7*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 7/4*q-7/4],
[(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-1)*(13*q^4-59*q^3+75*q^2-81*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^2-5*q+6)],
[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-1)*(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-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-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)^2*(q^2+1)^2, 1/32*(q-1)*(19*q^2-90*q+119)],
[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-1/4],
[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*(q^2+1)*(q^2-q+1)*(q^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^20*(q+1)*(q^4-q^3+q^2-q+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^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-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, 9/8*(q-1)^2],
[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-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^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*(q-1)*(2*q-5)],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/64*(q-1)*(19*q^3-89*q^2+145*q-139)],
[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*(q-1)*(2*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, 1/4*(q-1)*(4*q-13)],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(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-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^2-44*q+7)],
[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-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-5/4],
[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-1/4],
[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-5/2],
[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-1)*(q-3)^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^2-q+1)*(q^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-1)*(13*q^4-85*q^3+161*q^2-71*q+78)],
[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^2-11*q+12)],
[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-1)*(q^2-5*q+7)],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 9/4*q-33/4],
[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-1)*(19*q^2-128*q+229)],
[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-5/4],
[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-5/4],
[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-1)*(q-5)],
[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-5)],
[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, 5/16*q^2-21/8*q+101/16],
[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)*(7*q^3-64*q^2+199*q-222)],
[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^2-2*q+19/4],
[q^4*(q^4+q^3+q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/4*(2*q-9)*(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)^2*(q^2+1)^2, 1/16*(7*q-27)*(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-5)*(q-1)*(q-9)],
[(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-1)*(5*q^2-21*q+24)*(q-5)^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-5)*(q^2-7*q+18)],
[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-5)*(q^2-8*q+23)],
[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-5)*(13*q^2-130*q+357)],
[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-5)*(5*q^3-79*q^2+431*q-933)],
[(q^2-q+1)*(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-5)*(q-9)*(q^3-16*q^2+81*q-186)]
];