DegreesAndMultiplicitiesB4sc_3mod4 := [
[1, 1],
[(q^2+1)*(q^4+1), 1],
[1/2*q*(q^2+q+1)*(q^2+1)*(q-1)^2, 1],
[1/2*q*(q^2-q+1)*(q^4+1), 1],
[1/2*q*(q^2+q+1)*(q^4+1), 1],
[1/2*q*(q^2+1)*(q^2-q+1)*(q+1)^2, 1],
[(q-1)*(q^2+1)*(q^4+1), 1/2*q-1/2],
[q*(q^2+1)*(q^4+1), 1],
[(q+1)*(q^2+1)*(q^4+1), 1/2*q-3/2],
[1/2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 2],
[1/2*(q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[1/2*q^2*(q^2+q+1)*(q^4+1)*(q-1)^2, 1],
[1/2*(q^2+q+1)*(q^2+1)*(q^4+1)*(q-1)^2, 2],
[1/2*q^2*(q^2+1)*(q^2-q+1)*(q^4+1), 1],
[1/2*q^2*(q^2-q+1)*(q^4+1)*(q+1)^2, 1],
[1/2*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 2],
[1/2*q^2*(q^2+q+1)*(q^2+1)*(q^4+1), 1],
[(q^2+q+1)*(q^2+1)*(q^4+1)*(q-1)^2, 1/2*q-1/2],
[(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/2*q-3/2],
[1/2*q*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1],
[1/2*q*(q^2+q+1)*(q^2+1)*(q^4+1)*(q-1)^2, 1],
[1/2*q*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1],
[1/2*q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[1/2*q*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1],
[1/2*q*(q^2+q+1)*(q^4+1)*(q^2+1)^2, 1],
[1/2*q*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1],
[(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-1],
[q^3*(q^4+1)*(q^2+1)^2, 1],
[(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-3],
[1/2*q*(q^2+q+1)*(q^2+1)*(q^4+1)*(q-1)^3, 1/2*q-1/2],
[1/2*q*(q-1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/2*q-1/2],
[1/2*q^2*(q^2+q+1)*(q^2+1)*(q^4+1)*(q-1)^2, 1],
[1/2*q^2*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1],
[1/2*q^4*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 1],
[1/2*q*(q+1)*(q^2+q+1)*(q^2+1)*(q^4+1)*(q-1)^2, 1/2*q-3/2],
[1/2*q*(q-1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/2*q-1/2],
[1/2*q^4*(q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[1/2*q*(q-1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2, 1/2*q-1/2],
[1/2*q*(q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/2*q-3/2],
[1/2*q^4*(q^2-q+1)*(q^2+q+1)*(q^2+1)^2, 1],
[1/2*q^2*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1],
[1/2*q^2*(q^2+q+1)*(q^4+1)*(q^2+1)^2, 1],
[1/2*q*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 1/2*q-3/2],
[1/2*q*(q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2, 1/2*q-3/2],
[(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2, 1/8*(q-1)*(q-3)],
[(q^2+q+1)*(q^4+1)*(q-1)^2*(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+1), q-1],
[(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, 1/4*(q-1)*(q+1)],
[(q-1)*(q+1)*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1), 1/2*(q-1)*(q-2)],
[q^4*(q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[q^2*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1), 1],
[q*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-3],
[(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/2*q-3/2],
[(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^2, 1/8*(q-3)*(q-5)],
[1/2*q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2, 2],
[1/2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 2],
[1/2*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 2],
[1/2*q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^2, 2],
[(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/4*(q-1)^2],
[q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2, 1/2*q-1/2],
[(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/4*q+1/4],
[q*(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+1), 1/2*q-1/2],
[(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/4*q-3/4],
[(q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/4*(q-1)^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^4+1)*(q^2+1)^2, 1],
[q^3*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1), 2],
[(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/4*q-3/4],
[q^2*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 1/2*q-3/2],
[q*(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+1)*(q^2+1)^2, 1/4*q-3/4],
[q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^2, 1/2*q-3/2],
[(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/4*(q-3)^2],
[1/8*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^4, 2],
[1/8*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 4],
[1/8*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^4, 2],
[1/4*q^2*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2, 2],
[1/4*q^2*(q^2-q+1)*(q^2+q+1)*(q-1)^4*(q+1)^4, 2],
[1/4*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, 5],
[1/4*q^2*(q^2-q+1)*(q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 2],
[1/4*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1],
[1/4*q^2*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^2, 2],
[1/2*q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^3, q-1],
[1/2*(q+1)*(q^2+1)*(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-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 3/2*q-5/2],
[1/2*q^6*(q^2+q+1)*(q^4+1)*(q-1)^2, 1],
[1/2*q^4*(q^2+q+1)*(q^2+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+1)*(q-1)^2, q-3],
[1/2*q^2*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 2],
[1/2*q^6*(q^2+1)*(q^2-q+1)*(q^4+1), 1],
[1/2*q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q],
[1/2*q^4*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1],
[1/2*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2*(q+1)^2, 3*q-7],
[1/2*(q-1)*(q+1)*(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+1)*(q+1)^2, 1],
[1/2*q*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, q+1],
[1/2*q^4*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1],
[1/2*q^6*(q^2+1)*(q^2+q+1)*(q^4+1), 1],
[1/2*q^2*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 2],
[1/2*q^4*(q^2+q+1)*(q^4+1)*(q^2+1)^2, 1],
[1/2*q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[1/2*(q-1)*(q^2+1)*(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-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 3/2*q-9/2],
[1/2*q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^3, q-3],
[(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 1/16*(q+1)*(q-3)],
[q*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/2*q-1/2],
[(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/16*(7*q-9)*(q-3)],
[q*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/4*q+1/4],
[q^2*(q^2+q+1)*(q^4+1)*(q-1)^2*(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+1), 1/2*q-1/2],
[q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 3/4*q-5/4],
[(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3*(q+1)^3, 3/8*(q-1)*(q+1)],
[(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2*(q+1)^2, 1/8*(q-1)*(5*q-7)],
[(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/2*(q-1)*(2*q-5)],
[q^4*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1), 1],
[q*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/4*q-3/4],
[q^3*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), 1/2*q-3/2],
[q^2*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/2*q-3/2],
[q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 3/4*q-9/4],
[(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 1/16*(q-3)^2],
[q*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/2*q-3/2],
[(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/16*(q-3)*(7*q-37)],
[1/2*q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^4, 1/8*(q-1)*(q-3)],
[1/2*q^2*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^3, q-1],
[1/2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/2*q-3/2],
[1/2*q*(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+1)*(q^4+1)*(q-1)^3, 1/2*q-1/2],
[1/2*q*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 1/2*(q-1)*(q-2)],
[1/2*q^5*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1],
[1/2*q^3*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2, 2],
[1/2*q*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/4*(q-1)*(q-3)],
[1/2*q^4*(q-1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/2*q-1/2],
[1/2*q^9*(q^2+q+1)*(q^2+1)*(q-1)^2, 1],
[1/2*q^5*(q^2+q+1)*(q^2+1)*(q^4+1)*(q-1)^2, 1],
[1/2*q^2*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, q-3],
[1/2*q^9*(q^2-q+1)*(q^4+1), 1],
[1/2*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 3/2*q-1/2],
[1/2*q^2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q],
[1/2*q^5*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1],
[1/2*q^4*(q+1)*(q^2+q+1)*(q^2+1)*(q^4+1)*(q-1)^2, 1/2*q-3/2],
[1/2*q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2*(q+1)^2, 3/4*q^2-3/2*q+7/4],
[1/2*q^4*(q-1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/2*q-1/2],
[1/2*q^4*(q-1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2, 1/2*q-1/2],
[1/2*q*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, (q-1)*(q-2)],
[1/2*q^5*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1), 2],
[1/2*q^4*(q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/2*q-3/2],
[1/2*q^9*(q^2+q+1)*(q^4+1), 1],
[1/2*q^2*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, q+1],
[1/2*q^9*(q^2+1)*(q^2-q+1)*(q+1)^2, 1],
[1/2*q^5*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1],
[1/2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 3/2*q-9/2],
[1/2*q^5*(q^2+q+1)*(q^4+1)*(q^2+1)^2, 1],
[1/2*q^2*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 2*q-6],
[1/2*q*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^4, 1/4*(q-1)*(q+1)],
[1/2*q*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 1/2*(q-1)*(q-2)],
[1/2*q^5*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1],
[1/2*q^4*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 1/2*q-3/2],
[1/2*q^3*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^2, 2],
[1/2*q^4*(q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2, 1/2*q-3/2],
[1/2*q*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/4*(q-3)*(q-5)],
[1/2*q^2*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^3, q-3],
[1/2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/2*q-3/2],
[1/2*q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^4, 1/8*(q-3)*(q-5)],
[q*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4, 1/4*(q-1)^2],
[(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/48*(q-3)*(4*q^2-15*q+5)],
[q^2*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/2*q-1/2],
[q^3*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2, 1/2*q-1/2],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/8*(q-1)*(7*q-17)],
[(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^2*(q-1)^3, 1/8*(q-1)*(2*q-1)*(q+1)],
[q*(q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/4*(q-1)^2],
[q^2*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/4*q+1/4],
[q^3*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/2*q-1/2],
[(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/2*q^3-29/16*q^2+17/8*q-25/16],
[q^4*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-1],
[q^2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 3/4*q-5/4],
[(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q*(q-1)*(q+1)],
[q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2*(q+1)^2, 1/4*(q-1)*(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)],
[q^9*(q^2+1)*(q^4+1), 1],
[q*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/2*(q-1)*(4*q-9)],
[(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2*(q+1)^3, 1/8*(2*q-5)*(q-1)*(q+1)],
[q^2*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/4*q-3/4],
[q*(q-1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/4*(q-1)^2],
[(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/16*(q-3)*(8*q^2-21*q+7)],
[q^4*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-3],
[q^3*(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+1)*(q^2+1)^2, 3/4*q-9/4],
[q^3*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^2, 1/2*q-3/2],
[q^2*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/2*q-3/2],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/8*(q-3)*(7*q-31)],
[q*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4, 1/4*(q-3)^2],
[(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/48*(q-3)*(4*q^2-39*q+89)],
[1/2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4, 1/8*(q-3)^2],
[1/2*q*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/2*q-3/2],
[1/2*q^2*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 1/2*q+1/2],
[1/2*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/2*q*(q-3)],
[1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 3/2*q-5/2],
[1/2*q^6*(q^2+q+1)*(q^2+1)*(q^4+1)*(q-1)^2, 2],
[1/2*q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 3/2*q-1/2],
[1/2*q^3*(q-1)*(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^4+1)*(q-1)^4*(q+1)^4, 1/2*(q-1)*(q+1)],
[1/2*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^3*(q+1)^3, (q-1)*(q+1)],
[1/2*q^8*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 2],
[1/2*q^2*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2*(q+1)^2, 3*q-7],
[1/2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/4*(5*q-9)*(q-3)],
[1/2*q^8*(q^2+q+1)*(q^2-q+1)*(q^4+1), 2],
[1/2*q^2*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, q-1],
[1/2*q^3*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 2],
[1/2*q^6*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 2],
[1/2*q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 3/2*q-9/2],
[1/2*q^2*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 1/2*q-3/2],
[1/2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-2)*(q-3)],
[1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 3/2*q-9/2],
[1/2*q*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/2*q-3/2],
[1/2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4, 1/8*(q-3)*(q-7)],
[(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4, 1/384*(q+1)*(q-7)*(q-3)^2],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/48*(q-3)*(4*q^2-15*q+5)],
[(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^2*(q-1)^4, 1/32*(q+1)*(q-1)^3],
[q^2*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^3, 1/16*(q+1)*(q-3)],
[q^3*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/4*(q-1)^2],
[(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1/48*(q-3)*(2*q^3-4*q^2+q-5)],
[q^4*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2, 1/8*(q-1)*(q-3)],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/16*(7*q-9)*(q-3)],
[(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^4, 1/12*q^2*(q-1)*(q+1)],
[q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^2*(q-1)^3, 1/8*(q-1)*(2*q-1)*(q+1)],
[(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3*(q+1)^3, 1/12*q^2*(q-1)*(q+1)],
[q^6*(q^2+q+1)*(q^2+1)*(q^4+1)*(q-1)^2, 1/2*q-1/2],
[q^3*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, 1/4*q+1/4],
[q^9*(q-1)*(q^2+1)*(q^4+1), 1/2*q-1/2],
[q^4*(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+1)*(q-1)^2*(q^2+1)^2, 1/2*q^3-29/16*q^2+17/8*q-25/16],
[q^5*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-1],
[q^3*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/4*q-3/4],
[(q^2+q+1)*(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+1)*(q-1)^3*(q+1)^3, 3/8*(q-1)*(q+1)],
[(q^2-q+1)*(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^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^3*(q+1)^3, 1/8*(q-1)*(q+1)*(2*q^2-2*q-3)],
[q^4*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, 1/4*(q-1)*(q+1)],
[q*(q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q*(q-1)*(q+1)],
[q^2*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2*(q+1)^2, 1/8*(q-1)*(5*q-7)],
[q^16, 1],
[q*(q^2-q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/6*q*(q-1)*(q+1)],
[q^3*(q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2, 1/4*(q-1)^2],
[(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/64*(q-1)*(q-3)*(7*q^2-4*q-19)],
[q^4*(q-1)*(q+1)*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1), 1/2*(q-1)*(q-2)],
[q^10*(q^2+1)*(q^4+1), 1],
[q^3*(q-1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/4*(q-1)^2],
[q^2*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/2*(q-1)*(2*q-5)],
[(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3*(q+1)^3, 1/12*q*(q-1)*(q-2)*(q+1)],
[q*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2*(q+1)^3, 1/8*(2*q-5)*(q-1)*(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-2)*(q+1)],
[q^3*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/4*q-3/4],
[q^9*(q+1)*(q^2+1)*(q^4+1), 1/2*q-3/2],
[q^6*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, 1/2*q-3/2],
[q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/16*(q-3)*(8*q^2-21*q+7)],
[q^5*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), q-3],
[q^4*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/2*q-3/2],
[q^3*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2, 1/4*q-3/4],
[(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q-1)^2*(q+1)^4, 1/32*(q-1)*(q+1)*(q-3)^2],
[q^2*(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^3, 1/16*(q-3)^2],
[(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/48*(q-3)*(2*q^3-12*q^2+13*q+3)],
[q^4*(q^2+1)*(q^4+1)*(q^2-q+1)*(q^2+q+1)*(q+1)^2, 1/8*(q-3)*(q-5)],
[q^3*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/4*(q-3)^2],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/16*(q-3)*(7*q-37)],
[q*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/48*(q-3)*(4*q^2-39*q+89)],
[(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4, 1/384*(q-3)*(q-7)*(q^2-10*q+13)]
];