DegreesAndMultiplicitiesA7ad_3or7mod8 := [
[1, 2],
[q*(q^6+q^5+q^4+q^3+q^2+q+1), 2],
[(q+1)*(q^2+1)*(q^4+1), q-3],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 2],
[(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2*q-4],
[(q-1)*(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 1/2*(q-1)^2],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2],
[q*(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2*q-4],
[q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, q-3],
[(q+1)*(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 1/2*(q-3)^2],
[q^3*(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2],
[(q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-3],
[(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^4, q],
[q^4*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-2],
[q^4*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 2],
[q*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, q-3],
[q^2*(q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, q-3],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2*q-4],
[(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-3)^2],
[(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1/3*q*(q-1)*(q+1)],
[q*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 1/2*(q-1)^2],
[(q-1)*(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-1)^3],
[q^6*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2],
[q^3*(q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 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^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2*q-4],
[q*(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-3)^2],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 1/2*(q-3)^2],
[(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, 1/6*(q-3)*(q^2-6*q+11)],
[q^5*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2],
[q^3*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, q-3],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[q*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, q-3],
[(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-3)^2],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, q*(q-1)],
[q^6*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 2],
[q^2*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[q^2*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*q-4],
[(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-2)*(q-3)],
[(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/2*(q-1)^2],
[q^7*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2],
[q^2*(q-1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-1)^2],
[(q-1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-2)*(q-1)^2],
[q^3*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[q^7*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2, 2],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[q^2*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-3],
[q^3*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*q-4],
[q^3*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 2*q-4],
[q*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*(q-2)*(q-3)],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-3)^2],
[q^4*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), q-3],
[q^2*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, q-3],
[q*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, (q-3)^2],
[q^2*(q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-3)^2],
[q*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, (q-3)^2],
[(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-4)*(q-3)^2],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, q],
[(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^4, 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^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/4*(q-1)^2*(q+1)^2],
[q*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/2*(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^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, q*(q-1)],
[(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/8*(q-1)*(q+1)*(q^2-2*q-1)],
[q^3*(q-1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-1)^2],
[(q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/4*(q-1)^3],
[q*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/3*q*(q-1)*(q+1)],
[(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^10*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2],
[q^6*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[q^3*(q-1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 1/2*(q-1)^2],
[q^8*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 2],
[q*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-2)*(q-1)^2],
[(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/4*(q-1)^3],
[q^4*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[q*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/2*(q-1)^3],
[(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/4*(q-3)*(q-1)^3],
[q^5*(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-3],
[q^6*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, q-3],
[q^4*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, q-3],
[q^3*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 3/2*(q-3)^2],
[q^4*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 2*q-4],
[q^3*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, q-3],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-2)*(q-3)],
[q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-3)^2],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-2],
[q^3*(q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 1/2*(q-3)^2],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, (q-3)^2],
[q*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-2)*(q-3)^2],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/4*(q-3)*(q^2-6*q+11)],
[q*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/6*(q-3)*(q^2-6*q+11)],
[(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, 1/24*(q-5)*(q-3)*(q^2-6*q+11)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, q*(q-1)],
[(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/2*q*(q-1)*(q-3)],
[q^9*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2],
[q^6*(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-3],
[q^4*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-3],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[q^2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, (q-3)^2],
[q^4*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 2*q-4],
[q^3*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, q-3],
[q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-3)^2],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, (q-3)^2],
[q*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, (q-2)*(q-3)],
[(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-4)*(q-3)^2],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^6, 1/2*q^2*(q+1)],
[q^4*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^4, q],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/4*q*(q+1)*(q-2)],
[(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^4, 2/3*q*(q-1)*(q+1)],
[q^12*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, q*(q-1)],
[q^2*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1/3*q*(q-1)*(q+1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/3*q*(q-1)*(q-2)*(q+1)],
[(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[q^6*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, q-2],
[q^4*(q-1)*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-1)^2],
[q^11*(q^2-q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 2],
[q^2*(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-1)^3],
[q*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/2*(q-1)^3],
[q^6*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, q-3],
[q^5*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-3],
[q*(q-1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-2)*(q-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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-3)*(q-1)^3],
[q^6*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 2*q-4],
[q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, (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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, (q-2)*(q-3)],
[q^7*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), q-3],
[q^5*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 2*q-4],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*q-4],
[q^4*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, q-3],
[q^3*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*(q-3)^2],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, (q-3)^2],
[q^3*(q+1)*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2, (q-3)^2],
[q^2*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*(q-2)*(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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, (q-4)*(q-3)^2],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/12*(q-2)*(q-3)*(q-4)],
[q^4*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4, 1/2*(q-3)^2],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, 1/6*(q-3)*(q^2-7)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-3)*(q^2-6*q+11)],
[q*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-4)*(q-3)^2],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/6*(q-5)*(q-3)*(q^2-6*q+11)],
[(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^5, 1/6*q*(q+1)*(q-1)^2],
[q*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^4, 2/3*q*(q-1)*(q+1)],
[(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q^2*(q+1)*(q-1)^2],
[q^2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q-1)^3, 1/2*(q-1)^2],
[(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q+1)*(q-2)*(q-1)^2],
[q^6*(q-1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-1)^2],
[(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/6*q*(q-1)*(q-3)*(q+1)],
[q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)^2*(q+1)^2],
[(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^3, 1/4*(q+1)*(q^2-q-1)*(q-1)^2],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 2*q*(q-1)],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+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+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/2*q*(q-1)*(q-3)],
[q^15*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2],
[q^13*(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^10*(q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-3],
[q*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/8*(q-1)*(q^3+7*q^2-19*q-1)],
[(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2, 1/8*(q-1)*(q+1)*(q^3-4*q^2+4*q+1)],
[q^6*(q-1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 1/2*(q-1)^2],
[q^3*(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-1)^3],
[q^7*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-2)*(q-1)^2],
[q*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1/6*q*(q-1)*(2*q^2+q-13)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^9*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, q-3],
[(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/4*q*(q-1)*(q-3)^2],
[q^10*(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^7*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[q^6*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 3/2*(q-3)^2],
[q^3*(q-1)*(q+1)*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*(q-1)^3],
[q^2*(q-1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-2)*(q-1)^2],
[q^7*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*q-4],
[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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-3)*(q-1)^3],
[q^7*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 2*q-4],
[q^6*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, q-3],
[q^5*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[q^4*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, (q-3)^2],
[(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/12*(q-2)*(q-3)*(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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 2*(q-2)*(q-3)],
[q^5*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, q-3],
[q*(q-1)*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/4*(q-3)*(q-1)^3],
[(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/12*(q-3)*(q^2-5*q+3)*(q-1)^2],
[q^6*(q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2, 1/2*(q-3)^2],
[q^4*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*(q-3)^2],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/2*(q-3)*(q^2-4*q+5)],
[q^4*(q+1)*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2, (q-3)^2],
[q^3*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*(q-2)*(q-3)],
[q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, (q-4)*(q-3)^2],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/3*(q-2)*(q-3)*(q-4)],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-3)^2],
[q^3*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/6*(q-3)*(q^2-6*q+11)],
[q^2*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-4)*(q-3)^2],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/6*(q-3)*(q^3-8*q^2+20*q-19)],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/12*(q-4)*(q-5)*(q-3)^2],
[q*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2, 1/24*(q-5)*(q-3)*(q^2-6*q+11)],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3, 1/120*(q-5)*(q-7)*(q-3)*(q^2-5*q+9)],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^5, 1/8*q*(q-1)^2*(q+1)^2],
[q^6*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, q],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/2*q*(q+1)*(q-2)],
[q^2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q-1)^4, 1/4*(q+1)*(q^2-2*q-1)],
[(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/16*(q+1)*(q^2-2*q-1)*(q^2-q-4)],
[(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 1/6*q^2*(q+1)*(q-1)^2],
[q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/4*(q-1)^2*(q+1)^2],
[q^6*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, q*(q-1)],
[q^3*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q-1)^3, 1/2*(q-1)^2],
[q*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q+1)*(q-2)*(q-1)^2],
[q^4*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, q*(q-1)],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2, 1/8*(q-1)*(q+1)*(q^2-2*q-1)],
[q^4*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1/3*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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q-1)^3, 1/4*(q-1)^3],
[(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*q*(q+1)*(q-2)*(q-1)^2],
[q^3*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/2*q*(q-1)*(q-3)],
[q^16*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1), 2],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^2*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, q*(q-1)*(q-2)],
[q^7*(q-1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-1)^2],
[q^8*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/16*(q-1)*(q-2)*(q+1)*(q^2-2*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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-2)*(q-1)^2],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/3*q*(q-1)*(q-2)*(q+1)],
[q*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/4*q*(q-1)*(q-3)^2],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^11*(q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, q-3],
[q^4*(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-1)^3],
[q^10*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2*q-4],
[q^7*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-3],
[q^3*(q-1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-2)*(q-1)^2],
[q^8*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*q-4],
[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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/4*(q-3)*(q-1)^3],
[q^6*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-2)*(q-3)],
[q^5*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, (q-3)^2],
[q*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/4*(q-2)*(q-3)*(q-1)^2],
[q^4*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, (q-2)*(q-3)],
[(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2, 1/48*q*(q-1)*(q-3)*(q^2-6*q+11)],
[q^2*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3, 1/4*(q-1)^3],
[q^7*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, q-3],
[q^7*(q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-3)^2],
[q^6*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-2],
[q*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/2*(q-3)*(q-1)^3],
[q^6*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, (q-3)^2],
[q^5*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-3)^2],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, (q-3)^2],
[(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/8*(q-3)*(q-4)*(q-1)^3],
[q^4*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*(q-2)*(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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, (q-4)*(q-3)^2],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*(q-2)*(q-3)*(q-4)],
[q^4*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, 1/6*(q-3)*(q^2-7)],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-3)^2],
[q^3*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-4)*(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^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/24*(q-3)*(q^3+13*q^2-127*q+233)],
[q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/4*(q-4)*(q-5)*(q-3)^2],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^4, 1/4*(q-3)*(q^2-6*q+11)],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3, 1/6*(q-5)*(q-3)*(q^2-6*q+11)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/48*(q-5)*(q-6)*(q-3)*(q^2-6*q+11)],
[(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2*(q-1)^5, 1/6*q*(q+1)*(q^2+q+2)*(q-1)^2],
[q^3*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^4, 2/3*q*(q-1)*(q+1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/18*q*(q-1)*(q-2)*(q+1)*(q^2+2*q+3)],
[(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/8*(q^2-q+1)*(q-1)^2*(q+1)^2],
[q^6*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/2*(q-1)^2],
[q^2*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q+1)*(q-2)*(q-1)^2],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/48*(q+1)*(q^3-2*q^2-4*q+9)*(q-1)^2],
[q*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+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^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/5*q*(q-1)*(q-2)*(q+1)*(q^2+1)],
[q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)^2*(q+1)^2],
[q^21*(q^6+q^5+q^4+q^3+q^2+q+1), 2],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q-1)^3*(q+1)^3, 1/6*q^2*(q+1)*(q-1)^2],
[q^6*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/3*q*(q-1)*(q+1)],
[q*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q-2)*(q-1)^2*(q+1)^2],
[q^5*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^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^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q^2*(q+1)*(q-2)*(q-1)^2],
[q^10*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 1/2*(q-1)^2],
[q^15*(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2*q-4],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^3*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/8*(q-1)*(q^3+7*q^2-19*q-1)],
[q^6*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-2)*(q-1)^2],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/8*(q-1)*(q-2)*(q+1)*(q^2-2*q-1)],
[q*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3*(q+1)^3, 1/4*(q+1)*(q^2-q-1)*(q-1)^2],
[(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/8*(q-3)*(q+1)*(q^2-q-1)*(q-1)^2],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1/6*q*(q-1)*(2*q^2+q-13)],
[q^15*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, q-3],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^11*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, q-3],
[q^2*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/4*q*(q-1)*(q-3)^2],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/24*(q-1)*(q+1)*(11*q^3-52*q^2+60*q+3)],
[q^6*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, 1/2*(q-1)^3],
[q^11*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2*q-4],
[q^10*(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-3)^2],
[q^9*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-4],
[q^4*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/2*(q-1)^3],
[q^9*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, q-3],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/16*(q-1)*(q-3)*(q+1)*(q^3-4*q^2+4*q+1)],
[q^4*(q-1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-2)*(q-1)^2],
[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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-3)*(q-1)^3],
[q^7*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*(q-2)*(q-3)],
[q^6*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-3)^2],
[q^2*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/4*(q-2)*(q-3)*(q-1)^2],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/6*q*(q-1)*(q-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^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/18*q*(q-1)*(q-2)*(q-3)*(q-4)*(q+1)],
[q^10*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 1/2*(q-3)^2],
[q^7*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, (q-3)^2],
[q^3*(q-1)*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/4*(q-3)*(q-1)^3],
[q^2*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/2*(q-3)*(q-1)^3],
[q^7*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2, (q-3)^2],
[q^6*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-2)*(q-3)^2],
[q^5*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, (q-3)^2],
[q*(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/4*(q-3)*(q-4)*(q-1)^3],
[q^5*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, (q-2)*(q-3)],
[q^4*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, (q-4)*(q-3)^2],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/3*(q-2)*(q-3)*(q-4)],
[q*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3, 1/12*(q-3)*(q^2-5*q+3)*(q-1)^2],
[q^6*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3, 1/6*(q-3)*(q^2-6*q+11)],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-3)*(q^2-6*q+11)],
[(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/48*(q-5)*(q-3)*(q^2-5*q+3)*(q-1)^2],
[q^4*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-4)*(q-3)^2],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/6*(q-3)*(q^3-8*q^2+20*q-19)],
[q^2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/4*(q-4)*(q-5)*(q-3)^2],
[q^3*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2, 1/24*(q-5)*(q-3)*(q^2-6*q+11)],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3, 1/6*(q-5)*(q-3)*(q^2-6*q+11)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/24*(q-5)*(q-6)*(q-3)*(q^2-6*q+11)],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^4, 1/120*(q-5)*(q-7)*(q-3)*(q^2-5*q+9)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3, 1/720*(q-5)*(q-3)*(q^2-5*q+9)*(q-7)^2],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q+1)^3*(q-1)^7, 1/8*(q-1)*(q+1)^2*(q^2+1)^2],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^6, 1/2*q^2*(q+1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^6, 1/32*(q+1)*(q^6-q^4-7*q^2-1)],
[(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^4*(q-1)^6, 1/15*q^2*(q-1)*(q^2+1)*(q+1)^2],
[(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2*(q-1)^6, 1/12*q*(q-1)*(q+1)*(q^4+q^2-q+1)],
[q^12*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^4, q],
[q^2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^5, 1/8*q*(q-1)^2*(q+1)^2],
[q^3*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^5, 1/6*q*(q+1)*(q-1)^2],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3*(q-1)^5, 1/36*q*(q+1)*(q^3+q^2-3)*(q-1)^2],
[(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^5, 1/32*(q^3-q^2-q-1)*(q-1)^2*(q+1)^2],
[q^6*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^4, 1/4*(q+1)*(q^2-2*q-1)],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/4*q*(q+1)*(q-2)],
[q^2*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/16*(q+1)*(q^2-2*q-1)*(q^2-q-4)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/384*(q-3)*(q+1)*(q^5-q^4-8*q^3+4*q^2+17*q+11)],
[(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^4*(q-1)^6, 1/7*q*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)],
[(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^3*(q-1)^5, 1/12*q^3*(q-1)^2*(q+1)^2],
[q*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2*(q-1)^5, 1/6*q*(q+1)*(q^2+q+2)*(q-1)^2],
[(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q-1)^5, 1/10*q^2*(q+1)*(q^2+1)*(q-1)^2],
[q^4*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q-1)^4, 2/3*q*(q-1)*(q+1)],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 1/6*q^2*(q+1)*(q-1)^2],
[q^28, 2],
[q^6*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/4*(q-1)^2*(q+1)^2],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/18*q*(q-1)*(q-2)*(q+1)*(q^2+2*q+3)],
[q^10*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1/3*q*(q-1)*(q+1)],
[q*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/8*(q^2-q+1)*(q-1)^2*(q+1)^2],
[q^7*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/2*(q-1)^2],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2*(q-1)^4, 1/24*q^2*(q-2)*(q-1)^2*(q+1)^2],
[q^15*(q-1)*(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 1/2*(q-1)^2],
[q^8*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, q*(q-1)],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q^2*(q+1)*(q-1)^2],
[q^3*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q+1)*(q-2)*(q-1)^2],
[q^6*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/8*(q-1)*(q+1)*(q^2-2*q-1)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/48*(q+1)*(q^3-2*q^2-4*q+9)*(q-1)^2],
[(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3*(q-1)^5, 1/12*q*(q+1)*(q^3-q^2-3)*(q-1)^2],
[q^3*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/6*q*(q-1)*(q-3)*(q+1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/36*q*(q-1)*(q+1)*(q^4-2*q^3-q^2-q+9)],
[q*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/5*q*(q-1)*(q-2)*(q+1)*(q^2+1)],
[(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/16*(q+1)*(q^4-2*q^3-1)*(q-1)^2],
[q^6*(q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/4*(q-1)^3],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^3, 1/4*(q+1)*(q^2-q-1)*(q-1)^2],
[q^21*(q+1)*(q^2+1)*(q^4+1), q-3],
[q^6*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^2*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*q*(q+1)*(q-2)*(q-1)^2],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q^2*(q+1)*(q-2)*(q-1)^2],
[q^5*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/2*q*(q-1)*(q-3)],
[q^10*(q-1)*(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-1)^3],
[q^16*(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 2*q-4],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^13*(q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-3],
[q^12*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-2],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/96*(q-3)*(q+1)*(q^2-3)*(q-1)^3],
[q^4*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)*(q-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^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2, 1/8*(q-1)*(q+1)*(q^3-4*q^2+4*q+1)],
[q^7*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-2)*(q-1)^2],
[q^6*(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/4*(q-1)^3],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/16*(q-1)*(q-2)*(q+1)*(q^2-2*q-1)],
[(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/30*q*(q-1)*(q-2)*(q-3)*(q+1)*(q^2+1)],
[q*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/8*(q-3)*(q+1)*(q^2-q-1)*(q-1)^2],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q-1)^3*(q+1)^3, 1/36*q^2*(q-2)*(q-3)*(q+1)*(q-1)^2],
[q^15*(q+1)*(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^4+1), 1/2*(q-3)^2],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^3*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/4*q*(q-1)*(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^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^6*(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/4*(q-3)*(q-1)^3],
[q^11*(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-3)^2],
[q^9*(q+1)*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-3)^2],
[q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/16*(q-1)*(q-3)*(q+1)*(q^3-4*q^2+4*q+1)],
[q^4*(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-3)*(q-1)^3],
[q^8*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), (q-2)*(q-3)],
[q^7*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-3)^2],
[q^3*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/12*(q-2)*(q-3)*(q-1)^2],
[(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^3, 1/96*(q-3)*(q+1)*(q^3-5*q^2+3*q+3)*(q-1)^2],
[q^2*(q^2-q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2, 1/48*q*(q-1)*(q-3)*(q^2-6*q+11)],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2*(q+1)^3, 1/18*q*(q-1)*(q-2)*(q-3)*(q-4)*(q+1)],
[q^10*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, 1/6*(q-3)*(q^2-6*q+11)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/192*(q-1)*(q-3)*(q+1)*(q^4-8*q^3+20*q^2-16*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^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/12*(q-3)*(q^2-5*q+3)*(q-1)^2],
[q^7*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-4)*(q-3)^2],
[q^6*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/4*(q-3)*(q^2-6*q+11)],
[q^2*(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/8*(q-3)*(q-4)*(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^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2, 1/2*(q-4)*(q-3)^2],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/12*(q-2)*(q-3)*(q-4)],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/360*q*(q-1)*(q-2)*(q-3)*(q-4)*(q-5)*(q+1)],
[q^6*(q^2-q+1)*(q^2+q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, 1/24*(q-5)*(q-3)*(q^2-6*q+11)],
[q*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/48*(q-5)*(q-3)*(q^2-5*q+3)*(q-1)^2],
[q^4*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+1)^2, 1/6*(q-5)*(q-3)*(q^2-6*q+11)],
[q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2, 1/12*(q-4)*(q-5)*(q-3)^2],
[(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3, 1/1440*(q-3)*(q^2-6*q+3)*(q-1)^2*(q-5)^2],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)^2*(q+1)^3, 1/120*(q-5)*(q-7)*(q-3)*(q^2-5*q+9)],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/48*(q-5)*(q-6)*(q-3)*(q^2-6*q+11)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3, 1/720*(q-5)*(q-3)*(q^2-5*q+9)*(q-7)^2],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^4, 1/40320*(q-5)*(q-7)*(q-3)*(q^4-20*q^3+140*q^2-400*q+489)]
];