DegreesAndMultiplicitiesD5SO_1mod2 := [
[1, 2],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1), 2],
[1/2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, 4],
[1/2*(q^4+q^3+q^2+q+1)*(q^4+1), 4],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, q-1],
[q^2*(q^2+1)*(q^4+1), 2],
[(q^4+q^3+q^2+q+1)*(q^4+1), q-3],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1), 2],
[(q^2-q+1)*(q^2+1)*(q^4+1)*(q+1)^2, q-3],
[1/2*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 4],
[1/2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 4],
[1/2*q^3*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^4, 2],
[1/2*q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2, 4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[1/2*q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2, 2],
[1/2*q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1), 2],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2, q-1],
[(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), q-1],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), q-3],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, q-3],
[1/2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 2*q-2],
[1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, 4],
[1/2*q^2*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 4],
[1/2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 4*q-8],
[1/2*q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 4],
[1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 4],
[1/2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 2*q-6],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/4*(q-1)*(q-3)],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, q-1],
[q*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), q-1],
[(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+1)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, (q-1)*(q-2)],
[q^6*(q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 1/2*(q-1)^2],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 2],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 3*q-7],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), q-3],
[q*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, q-3],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/4*(q-3)*(3*q-11)],
[1/2*q*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2, 4],
[1/2*q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 4],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, q-1],
[q^5*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 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+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 2*q-2],
[1/2*q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 4],
[1/2*q^2*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 4],
[1/2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2, q-3],
[1/2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, q-3],
[q*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-1],
[(q-1)*(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-3)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 2],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[q*(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, q-3],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-3],
[(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)*(q-5)],
[1/4*q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^4, 4],
[1/4*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 8],
[1/4*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 8],
[1/4*q^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 4],
[1/4*q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2, 4],
[1/4*q^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^4, 4],
[1/2*q^7*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^4, 2],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^4, q-3],
[1/2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 2*q-2],
[1/2*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 2*q-2],
[1/2*q^3*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2, 8],
[1/2*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 2*q-2],
[1/2*q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 6*q-10],
[1/2*(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-3],
[1/2*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 2*q-2],
[1/2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 2*q-6],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[1/2*(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, 2*q-2],
[1/2*q^7*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2, 2],
[1/2*q^3*(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^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 8],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1), 2],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2, q-3],
[1/2*(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, 2*q-6],
[1/2*q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 2*q-6],
[1/2*(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^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^4, q-3],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^4, q-1],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 1/2*(q-1)*(q-3)],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^4, 1/4*(q+1)*(q-1)^2],
[q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^3, 1/2*(q-1)*(q+1)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, q-1],
[(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/4*(q-1)*(q-3)*(q+1)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/4*(q-1)*(5*q-7)],
[(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)*(q+1)],
[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],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/2*(q-1)*(q-3)],
[q^2*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-1],
[q*(q-1)*(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-3)],
[(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, 1/2*(q-1)*(q-3)],
[q^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 2],
[q*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 1/2*(q-1)^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)*(q-1)^2],
[q^2*(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, q-3],
[q^3*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, q-3],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-3],
[q*(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+1)*(q^2+1)^2, 1/2*(q-3)*(q-5)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/4*(q-3)*(3*q-11)],
[(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/8*(q-5)*(q-3)^2],
[1/2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^4, 1/2*(q-1)*(q-3)],
[1/2*q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 2*q-2],
[1/2*q^2*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 2*q-2],
[1/2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 2*q*(q-1)],
[1/2*q^6*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, 4],
[1/2*q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 4*q-4],
[1/2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 3/2*(q-1)*(q-3)],
[1/2*q^6*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 4],
[1/2*q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 4],
[1/2*q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 2*q-6],
[1/2*q^2*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 4*q-8],
[1/2*q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+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+1)*(q^2+1)^2, 2*q-2],
[1/2*q^4*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 4],
[1/2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^3*(q+1)^3, (q-1)*(q+1)],
[1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2, 2*q-6],
[1/2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, 1/2*(3*q-7)*(q-3)],
[1/2*q^6*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 4],
[1/2*(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)^2],
[1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[1/2*q^2*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 2*q-6],
[1/2*q*(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, 2*q-6],
[1/2*(q^2+q+1)*(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)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^4, 1/24*(q-5)*(q-1)*(q-3)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 1/2*(q-1)*(q-3)],
[q^2*(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)*(q-3)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, q-1],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 1/2*q*(q-1)^2],
[q^6*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, q-1],
[(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/4*(q-1)*(q-2)*(q-3)],
[q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, q-1],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q-1)^4, 1/3*q*(q-1)*(q+1)],
[q^2*(q+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)*(q+1)],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/2*(q-1)*(q-3)],
[q^12*(q^2+1)*(q^4+1), 2],
[(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, 1/3*q*(q-1)*(q+1)],
[q^2*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, (q-1)*(q-2)],
[q^3*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-1],
[q^2*(q-1)*(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)^2],
[q*(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, 1/2*(q-1)*(3*q-7)],
[(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q-2)*(q+1)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, 1/8*(q-1)*(3*q^2-12*q+17)],
[q^10*(q^4+q^3+q^2+q+1)*(q^4+1), 2],
[q^6*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 3*q-7],
[q*(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-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, 1/2*(q-1)*(q-2)*(q-3)],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, q-3],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, q-3],
[q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-3],
[q^2*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 3/4*(q-1)*(q-3)],
[q*(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, 1/2*(q-3)*(3*q-13)],
[q*(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+1)*(q+1)^2*(q^2+1)^2, 1/12*(2*q-11)*(q-3)*(q-5)],
[1/2*q*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4, 2*q-2],
[1/2*q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 2*q-2],
[1/2*(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, 3/2*(q-1)*(q-3)],
[1/2*q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2, 4],
[1/2*q^5*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2, 4],
[1/2*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 6*q-10],
[1/2*q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 2*q-6],
[1/2*q*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, q-3],
[1/2*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/2*(3*q-7)*(q-3)],
[1/2*q^2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 2*q-2],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 4],
[1/2*q^5*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 4],
[1/2*(q-1)*(q^2+q+1)*(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^2*(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, 2*q-6],
[1/2*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 2*q-6],
[1/2*q*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4, q-3],
[1/2*(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)*(q-5)],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^5, 1/4*(q+1)*(q-1)^2],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^4, q-1],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^4, 1/8*(q+1)*(q-1)^3],
[q*(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-3)*(q+1)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 1/2*(q-1)*(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, 1/16*(q-1)*(q-3)*(q^2-2*q-7)],
[q^3*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^3, 1/2*(q-1)*(q+1)],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 1/2*q*(q-1)*(q+1)],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2, q-1],
[(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q*(q+1)*(q-1)^2],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/4*(q-1)*(5*q-7)],
[q^6*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), q-1],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/4*(q-1)*(q-3)*(2*q-1)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q-1)^3, 1/8*(q-1)*(q-3)*(q+1)^2],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/2*(q-1)*(q-3)],
[q*(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, 1/24*(q-1)*(19*q-9)*(q+1)],
[q^13*(q^2-q+1)*(q^4+q^3+q^2+q+1), 2],
[(q+1)*(q^2+q+1)*(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)*(3*q^3-11*q^2+q+31)],
[q^4*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-1],
[q^3*(q-1)*(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-3)],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[q^2*(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, 1/2*(q-1)*(3*q-7)],
[(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/6*q*(q-1)*(q-3)*(q+1)],
[q^3*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 1/2*(q-1)^2],
[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^2-q+1)*(q^4+1), q-3],
[q*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 1/2*(q-1)*(2*q^2-9*q+11)],
[q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, q-3],
[q^4*(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[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-3],
[q*(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-1)^2],
[q^6*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, q-3],
[(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/48*(q-3)*(7*q-23)*(q-1)^2],
[q^4*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-3],
[q^3*(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+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 1/2*(q-3)*(3*q-13)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/4*(q-3)*(3*q-11)],
[q^2*(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*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/12*(q-5)*(4*q-19)*(q-3)],
[q*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4, 1/8*(q-5)*(q-3)^2],
[(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, 1/48*(q-5)*(q-7)*(q-3)^2],
[1/2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^5, 1/4*(q+1)*(q-1)^2],
[1/2*q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^4, 1/2*(q-1)*(q-3)],
[1/2*(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, 1/24*(q-1)*(q-3)*(5*q-19)],
[1/2*(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, 1/3*q*(q-1)*(q+1)],
[1/2*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 2*q-2],
[1/2*q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 2*q-2],
[1/2*q*(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, 3/2*(q-1)*(q-3)],
[1/2*q^12*(q^2+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, 4],
[1/2*q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 2*q*(q-1)],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 2*q-2],
[1/2*(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)^3, 1/4*(3*q-5)*(q-1)^2],
[1/2*q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 2*q-2],
[1/2*q^3*(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-3],
[1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 3/2*(q-1)*(q-3)],
[1/2*(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, 2/3*q*(q-1)*(q+1)],
[1/2*q^8*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 4],
[1/2*q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, 4*q-8],
[1/2*q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 2*q-6],
[1/2*q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/2*(3*q-7)*(q-3)],
[1/2*q^8*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 4],
[1/2*q^3*(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, 2*q-2],
[1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^3*(q+1)^3, (q-1)*(q+1)],
[1/2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3*(q+1)^3, 1/4*(q-1)*(3*q-7)*(q+1)],
[1/2*q^4*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2, q-3],
[1/2*q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, 1/2*(3*q-7)*(q-3)],
[1/2*q^12*(q^4+q^3+q^2+q+1)*(q^4+1), 4],
[1/2*(q^2+q+1)*(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, 1/12*(q-3)*(5*q^2-30*q+37)],
[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+1)*(q^2+1)^2, (q-1)^2],
[1/2*q^4*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, q-3],
[1/2*(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, 1/3*q*(q-1)*(q+1)],
[1/2*q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 2*q-6],
[1/2*q*(q-1)*(q^2+q+1)*(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^3*(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, 2*q-6],
[1/2*(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)^3, 1/4*(q-3)*(q-1)^2],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, q-3],
[1/2*q^2*(q^2+q+1)*(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+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-3)*(q-5)],
[1/2*(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, 1/24*(q-5)*(q-7)*(q-3)],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^5, 1/96*(q-3)*(q-1)^2*(q+1)^2],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^4, 1/24*(q-5)*(q-1)*(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)^4, 1/384*(q-5)*(q-1)*(q-3)*(q^2-17)],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^4, 1/8*(q+1)*(q-1)^3],
[(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, 1/24*q*(q-1)^2*(q+1)^2],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 1/2*(q-1)*(q-3)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/4*(q-1)*(q-3)],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/16*(q-1)*(q-3)*(q^2-2*q-7)],
[q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^4, 1/4*(q+1)*(q-1)^2],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3*(q-1)^5, 1/8*(q-1)*(q^2+1)*(q+1)^2],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q-1)^4, 1/16*(q+1)^2*(q-1)^3],
[q^5*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3, q-1],
[q^12*(q^2+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, q-1],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 1/2*q*(q-1)^2],
[q*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q*(q+1)*(q-1)^2],
[q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/4*(q-1)*(q-3)*(q+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)^3, 1/32*(q-3)*(q+3)*(q-1)^3],
[q^3*(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)*(q+1)],
[q^7*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), q-1],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/4*(q-1)*(q-2)*(q-3)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q+1)^3*(q-1)^5, 1/12*q*(q-1)^2*(q+1)^2],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q+1)^2*(q-1)^4, 1/3*q*(q-1)*(q+1)],
[q^6*(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+1)],
[(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/5*q*(q-1)*(q+1)*(q^2+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)*(q+1)*(q^2-5)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q-1)^3, 1/8*(q-1)*(q-3)*(q+1)^2],
[q^20, 2],
[(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)*(q-1)^3],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, (q-1)*(q-2)],
[q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/2*(q-1)*(q-3)],
[q^2*(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, 1/3*q*(q-1)*(q+1)],
[q^6*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 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+1)*(q-1)^2*(q^2+1)^2, 1/16*(q-1)*(3*q^3-11*q^2+q+31)],
[q^4*(q-1)*(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-3)],
[q^3*(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, 1/2*(q-1)*(q-3)],
[(q^2+q+1)*(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^2-5)*(q-1)^2],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^3*(q+1)^3, 1/2*(q-1)*(q-2)*(q+1)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3*(q+1)^3, 1/32*(q-1)*(q+1)*(5*q^3-7*q^2-13*q+31)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, 1/8*(q-1)*(3*q^2-12*q+17)],
[q^12*(q^4+q^3+q^2+q+1)*(q^4+1), q-3],
[q*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/6*q*(q-1)*(q-3)*(q+1)],
[q^10*(q^2-q+1)*(q^2+1)*(q^4+1)*(q+1)^2, q-3],
[(q^2+q+1)*(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, 1/192*(q-1)*(q-3)*(7*q^3-11*q^2-31*q+131)],
[q^3*(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)*(q-1)^2],
[q^7*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+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+1)*(q^2+1)^2, 1/2*(q-1)*(q-2)*(q-3)],
[q^5*(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, q-3],
[(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, 1/24*q*(q+1)*(q-3)*(q-1)^2],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/4*(q-3)*(3*q-11)],
[q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/48*(q-3)*(7*q-23)*(q-1)^2],
[q^4*(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)*(q-5)],
[q^3*(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, 1/2*(q-3)*(q-5)],
[(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)^3, 1/96*(q-3)*(q-5)*(q-1)^3],
[q^3*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/8*(q-5)*(q-3)^2],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/12*(2*q-11)*(q-3)*(q-5)],
[q*(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, 1/48*(q-5)*(q-7)*(q-3)^2],
[(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, 1/1920*(q-5)*(q-1)*(q-7)*(q-3)*(q-9)]
];