DegreesAndMultiplicitiesD5ad_1mod4 := [
[1, 4],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1), 4],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, q-1],
[q^2*(q^2+1)*(q^4+1), 4],
[(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), 4],
[(q^2-q+1)*(q^2+1)*(q^4+1)*(q+1)^2, q-5],
[(q^2+1)*(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-1)^4, 4],
[1/2*q^3*(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^2+1)^2, 4],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1), 4],
[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), 2*q-2],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 4],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 2*q-6],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(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, 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), 2*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+1)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, (q-1)^2],
[q^6*(q^4+1)*(q^2-q+1)*(q^2+q+1), 4],
[(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)*(q-3)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 4],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 3*q-9],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 2*q-6],
[q*(q^2-q+1)*(q^4+1)*(q^2+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)^2, 3/4*q^2-5*q+41/4],
[(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), 4],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(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-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)^2, 1/2*q-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), 2*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)*(q-5)],
[q^2*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 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, 1/4*q-1/4],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 4],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 4],
[q*(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-10],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 1/4*q-5/4],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, q-5],
[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), 2*q-6],
[(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],
[1/2*q^7*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^4, 4],
[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^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+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^7*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 4],
[1/2*q^7*(q^2-q+1)*(q^4+q^3+q^2+q+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)*(q^2+1)^2, q-3],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1), 4],
[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^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^2-2*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*(5*q-3)*(q-1)],
[(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^2-2*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*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^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), 2*q-2],
[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-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, 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, 4],
[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)*(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-1)*(q^2-4*q+7)],
[q^3*(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*(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 3*q-11],
[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-5],
[q^3*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, q-5],
[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), 2*q-6],
[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)*(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, 1/2*q^2-4*q+19/2],
[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, 3/4*q^2-5*q+41/4],
[(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^2-6*q+15)],
[(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-1)*(q^2-5*q+12)],
[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-1)*(q^2+1)],
[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^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],
[(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, 1/8*(2*q-5)*(q-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-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^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), 4],
[(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)^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), 2*q-2],
[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)*(q-3)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^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, 3/2*(q-1)*(q-3)],
[q^4*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 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, 1/4*(q-1)*(2*q-3)*(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+1)^2, 1/2*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)^2, 3/8*(q-2)*(q-1)^2],
[q^10*(q^4+q^3+q^2+q+1)*(q^4+1), 4],
[q^6*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 3*q-9],
[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-5)],
[(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, 1/4*(q-1)*(2*q^2-9*q+17)],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 4],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 3*q-11],
[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, 3/2*q-15/2],
[q^4*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, q-5],
[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), 2*q-6],
[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^2-3*q+1/4],
[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, 3/2*q^2-12*q+57/2],
[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-5)^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, 1/24*(q-5)*(4*q^2-31*q+87)],
[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^2-2*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^3-5*q^2+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+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*(5*q-3)*(q-1)],
[q^6*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 2*q-2],
[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*(2*q-5)*(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)^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^2+10*q+9)],
[q^13*(q^2-q+1)*(q^4+q^3+q^2+q+1), 4],
[(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*(3*q^2-8*q-1)*(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), 2*q-2],
[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-5)],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 4],
[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, 3/2*(q-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*(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)*(q-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-5)],
[q^6*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 2*q-6],
[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+17)],
[q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^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), 2],
[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-10],
[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-5],
[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-1)*(q^2-4*q+7)],
[q^6*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^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+1)^2*(q^2+1)^2, 1/48*(q-1)*(7*q^3-51*q^2+119*q-147)],
[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), 2*q-6],
[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)],
[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, 3/2*q^2-12*q+57/2],
[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, 3/4*q^2-5*q+41/4],
[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-5)^2],
[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^2-31*q+87)],
[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^2-6*q+15)],
[(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^3-13*q^2+57*q-117)],
[(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+1)*(q^2-2*q+3)*(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-1)*(q^2-5*q+12)],
[(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-1)*(q-5)*(q^3-3*q^2+3*q+15)],
[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)*(q+1)*(q^2+1)],
[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^3-5*q^2+5*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-1)*(q^2+1)],
[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^2-2*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)^3, 1/32*(q-1)*(q^4-2*q^3-2*q^2+2*q-7)],
[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, 1/2*q-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, 1/8*(q-1)*(q^2-2*q+3)],
[q^7*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 2*q-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, 1/8*(2*q-5)*(q-1)^2],
[(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^2-3)],
[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)^2*(q-1)^3, 1/8*(q-1)*(q-3)*(q+1)^2],
[q^20, 4],
[(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)^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)*(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-1)^2*(q^2+1)^2, 1/16*(3*q^2-8*q-1)*(q-1)^2],
[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-5)],
[q^8*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^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, 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, 1/4*(q-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)^3*(q+1)^3, 1/32*(q-1)*(q+1)*(5*q^3-7*q^2-7*q+17)],
[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, 1/4*q-1/4],
[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, 3/8*(q-2)*(q-1)^2],
[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-5],
[(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)*(7*q^4-32*q^3+22*q^2+64*q-45)],
[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-1)*(q^2-4*q+7)],
[q^7*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1), 2*q-6],
[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, 1/4*(q-1)*(2*q^2-9*q+17)],
[q^5*(q+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, q-5],
[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, 1/4*q-5/4],
[(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+1)*(q^2-4*q+5)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 3/4*q^2-5*q+41/4],
[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-1)*(7*q^3-51*q^2+119*q-147)],
[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-5)^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, 1/2*q^2-4*q+19/2],
[(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, 1/96*(q-1)*(q^2-2*q+3)*(q^2-8*q+19)],
[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^2-6*q+15)],
[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, 1/24*(q-5)*(4*q^2-31*q+87)],
[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^3-13*q^2+57*q-117)],
[(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^4-20*q^3+150*q^2-500*q+849)]
];