DegreesAndMultiplicities2E6ad_4mod6 := [
[1, 1],
[q*(q^6-q^3+1)*(q^4+1), 1],
[(q^2+q+1)*(q^6-q^3+1)*(q^4-q^2+1)*(q^2-q+1)^2, q],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1), 1],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1), 1],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2, 1],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^4, 1],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^2+q+1)^2, 1],
[(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1/2*q],
[(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1/2*q-1],
[q^4*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1],
[q*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2, 1/6*q*(q-1)],
[q^2*(q^2+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2, q],
[q^6*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2, 1],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^2, 1/2*(q+1)*(q-2)],
[(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*q*(q-1)],
[q^5*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1],
[(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q*(q-1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1), 1/2*q],
[q^2*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2, q],
[q*(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q^6*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1],
[(q-1)*(q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1), 1/2*q-1],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q+1)^3, 1],
[1/6*q^7*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^4, 1],
[1/6*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1],
[1/3*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1],
[1/3*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4*(q+1)^6, 2],
[1/3*q^7*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2, 1],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3, q],
[1/2*q^7*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2, 1],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q],
[1/2*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^4, 1],
[1/2*q^3*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, q],
[q*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q],
[(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^2*(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q],
[q*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2, 1/6*q*(q-1)],
[(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*q],
[q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^2, 1/2*(q+1)*(q-2)],
[(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^2*(q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q-1],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*q*(q-1)],
[q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q+1)^4, 1],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/2*q-2],
[q*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*q*(q-2)],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*q*(q-2)*(q-3)],
[(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/12*q*(q-4)],
[q^2*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q^3*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^6-q^3+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2, 1/2*q],
[q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^4*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2, q],
[q^2*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-1)],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4, 1/6*(q+2)*(q-1)],
[(q-1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/4*q^2*(q+1)],
[q^3*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1/2*q],
[q*(q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*q*(q-1)*(q-2)],
[q^10*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1],
[q^6*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, q],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, 1/4*q*(q+1)*(q-2)],
[q*(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*q],
[(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/4*q*(q-2)],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q+1)^3, 1],
[q^12*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2, 1],
[(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/4*q*(q-2)],
[q^3*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^6-q^3+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2, 1/2*q-1],
[q*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*(q+1)*(q-2)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/6*q*(q-1)],
[q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/2*q-2],
[q^3*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1/2*q-1],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/8*(q-2)*(q-4)*(q+1)],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^4, 1/12*(q-4)^2],
[q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q],
[q^2*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)],
[q^11*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1],
[q^5*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q^2*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/2*q^2-1/2*q-2],
[q^4*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/2*q],
[q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q*(q-4)],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*q*(q-3)*(q-4)],
[q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-2)],
[q^2*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q],
[q^3*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2, q],
[q*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q*(q-3)],
[q^3*(q-1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, q],
[q^13*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1],
[q^4*(q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/2*q-1],
[q*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/2*q*(q-2)],
[q^2*(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, q],
[(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[q*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-2)],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/3*q*(q-1)],
[(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/3*q^2*(q-1)],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/6*q*(q-1)],
[1/2*q^7*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3, q],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^3, 1/6*q*(q-1)],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/3*q*(q-1)],
[1/2*q^15*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1],
[1/2*q^15*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2, 1],
[1/2*q^7*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[1/2*q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, (q+1)*(q-2)],
[1/2*q^7*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*q*(q-1)],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/3*q*(q-1)],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 1/3*q*(q-1)],
[1/2*q^15*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^4, 1],
[1/2*q^7*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, q],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, 1/6*q*(q-1)],
[1/2*q^15*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^2+q+1)^2, 1],
[1/2*q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, (q+1)*(q-2)],
[1/2*q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q+1)^6, 1/3*q*(q-1)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/72*q*(q-3)*(q-4)^2],
[q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/8*q*(q-2)*(q-3)],
[q^2*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/2*q],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*q*(q-1)*(q-3)],
[q^3*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/2*q*(q-2)],
[q^2*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-2)],
[(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/12*q*(q-3)*(q-4)],
[q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/6*q*(q-4)],
[(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/12*q*(q-1)*(q-2)^2],
[q^6*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^6-q^3+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2, 1/2*q],
[q^4*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q*(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^2*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(2*q-5)],
[q^4*(q-1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, q],
[(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/18*q^2*(q-1)^2],
[q^6*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1/2*q],
[(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*q*(q+1)*(q-2)],
[q^4*(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, q],
[q*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[q^3*(q-1)*(q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/2*q*(q-2)],
[q^2*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-2)],
[(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/12*q*(q-1)*(q-2)],
[(q^2+q+1)*(q^2-q+1)*(q^6-q^3+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/6*q^2*(q-1)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/6*(q-1)*(q^3+q^2+q+2)],
[q*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*q^2*(q+1)],
[(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, 1/4*q^2*(q+1)*(q-2)],
[q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q+1)^3, 1],
[q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/3*q^2*(q-1)],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/2*q^2-1/2*q-2],
[q^3*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*q*(q-2)],
[(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/8*q*(q+1)*(q-2)^2],
[q^6*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^6-q^3+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2, 1/2*q-1],
[q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/8*(q-2)*(3*q-4)*(q+1)],
[(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 1/12*q^4-1/4*q^3-1/2*q^2+5/6*q+4/3],
[q^2*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/3*q*(q-1)],
[(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1],
[q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, 1/2*q^2-1/2*q-2],
[q^6*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1/2*q-1],
[q^2*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/2*q-2],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-4)*(q^2-q-4)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/18*q*(q-1)*(q^2-q-3)],
[(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q+1)^5, 1/6*q*(q-1)*(q-2)],
[q^2*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/12*q*(q-4)],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/6*q*(q-3)*(q-4)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/48*q*(q-6)*(q-3)*(q-4)],
[q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/2*q],
[q^4*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^2*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*q*(q+6)*(q-3)],
[q^3*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-2)],
[q*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*q*(q-3)*(q-4)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^3*(q^2-q+1)^3, 1/8*q^3*(q+1)],
[q^2*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/4*q*(q-2)],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/16*q*(q+1)*(q-2)^2],
[q^10*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2, q],
[q^4*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q],
[q^6*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[q^5*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q^7*(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q],
[q^6*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-1)],
[q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(2*q-5)],
[(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/8*q*(q-1)*(q-2)^2],
[q^2*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/6*q*(q-1)],
[q^2*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/6*(q+2)*(q-1)],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^3*(q+1)^4, 1/6*(q-1)*(q^3+2*q^2-2)],
[q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/3*q^2*(q-1)],
[q^20*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1), 1],
[q^2*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/4*q^2*(q+1)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*q^3*(q-1)],
[q^4*(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^12*(q^2+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2, q],
[q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*q*(q+1)*(q-2)],
[q^2*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*q*(q-1)*(q-2)],
[q^3*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-2)],
[q^2*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*q*(q+1)*(q-2)],
[q*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^2*(q-1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/4*q*(q-2)],
[(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*q*(q-2)*(q^2-2)],
[q^5*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/2*q^2-1/2*q-2],
[q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*(q+1)*(q-2)],
[q^7*(q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q-1],
[q^3*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/16*q*(q-2)*(q-4)*(q+1)],
[q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/2*q-2],
[q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-4)*(q^2-q-4)],
[q^2*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-2)*(q-4)*(q+1)],
[q^2*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/12*(q-4)^2],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/48*(q-4)*(q^3-7*q^2+28)],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/72*q*(q-3)*(q-4)^2],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3, 1/720*q*(q-6)*(q-7)*(q-3)*(q-4)],
[q^2*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/6*q*(q-3)*(q-4)],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/8*q*(q-2)*(q-3)],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/24*q*(q-6)*(q-3)*(q-4)],
[q^4*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q*(q-4)],
[q^6*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*q*(q-2)],
[q*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/12*q*(q-1)*(q-2)^2],
[q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*q*(q-1)*(q-3)],
[(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/48*q*(q-1)*(q-3)*(q-2)^2],
[q^4*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-2)],
[q^2*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*q*(q-3)*(q-4)],
[q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/18*q^2*(q-1)^2],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/18*q^3*(q-1)^2],
[q^10*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1), 1/2*q],
[q^5*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q],
[q^7*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q^2*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[q^6*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^3*(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^4*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q*(q-3)],
[q*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*q*(q-1)*(q-2)^2],
[q^7*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2, 1/6*q*(q-1)],
[q^2*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/3*q^2*(q-1)],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/8*q^3*(q-1)*(q+1)],
[q^4*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/2*q*(q-2)],
[q^6*(q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/24*q*(11*q^3-17*q^2+12)],
[q^10*(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q^13*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q^2*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*q*(q+1)*(q-2)],
[q^6*(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*q],
[q^3*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/16*q^2*(q-2)*(q-3)*(q+1)],
[q^4*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-2)],
[q^2*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^4*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/3*q*(q-1)],
[q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^3, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^25*(q^6-q^3+1)*(q^4+1), 1],
[(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*q^2*(q+1)],
[q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/3*q^2*(q-1)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/6*q^2*(q-1)*(q-2)*(q+1)],
[q^10*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1), 1/2*q-1],
[q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*q^2*(q+1)*(q-2)],
[q^7*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^2, 1/2*(q+1)*(q-2)],
[q^6*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/8*(q-2)*(3*q-4)*(q+1)],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/8*q*(q-2)*(q-4)*(q+1)],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/18*q*(q-1)*(q^2-q-3)],
[q^7*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*q*(q-1)],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 1/6*(q-1)*(q^3+q^2+q+2)],
[(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/18*q^3*(q-1)^2],
[(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/6*(q-1)*(q^4-q^3-2*q-2)],
[q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^5, 1/4*q^2*(q+1)*(q-2)],
[q^7*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q+1)^4, 1],
[(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/8*q^2*(q-2)*(q-3)*(q+1)],
[q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/2*q-2],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, 1/2*q^2-1/2*q-2],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-4)*(q^2-q-4)],
[q*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4, 1/12*q^4-1/4*q^3-1/2*q^2+5/6*q+4/3],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 1/48*(q-4)*(q^4-4*q^3-9*q^2+16*q+28)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q-1)^4, 1/51840*q*(q-10)*(q-6)*(q-7)*(q-3)*(q-4)],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3, 1/720*q*(q-6)*(q-7)*(q-3)*(q-4)],
[q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/72*q*(q-3)*(q-4)^2],
[(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3, 1/1440*q*(q-1)*(q-3)*(q-4)*(q-2)^2],
[q^2*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/48*q*(q-6)*(q-3)*(q-4)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/216*q^3*(q-1)^3],
[q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*q*(q-2)*(q-3)],
[q^4*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*q*(q-3)*(q-4)],
[q*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/48*q*(q-1)*(q-3)*(q-2)^2],
[q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/12*q*(q-3)*(q-4)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^4, 1/96*q^2*(q-2)*(q+2)*(q+1)^2],
[q^2*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^3*(q^2-q+1)^3, 1/8*q^3*(q+1)],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^3*(q^2-q+1)^3, 1/32*q^3*(q-2)*(q+1)^2],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/18*q^3*(q-1)^2],
[q^10*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/16*q*(q+1)*(q-2)^2],
[q^12*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2, 1/6*q*(q-1)],
[q^6*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/12*q*(q-4)],
[q^3*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/12*q*(q-1)*(q-2)^2],
[q^7*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/192*q*(q-4)*(q+1)^2*(q-2)^2],
[q^5*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)],
[q^2*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/8*q*(q-1)*(q-2)^2],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^6, 1/72*(q+2)*(q-1)*(q^4+q-4)],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^3*(q^2-q+1)^3*(q+1)^5, 1/12*q^3*(q-1)*(q+1)^2],
[q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4, 1/6*(q+2)*(q-1)],
[(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^4, 1/10*q^2*(q-1)*(q+1)*(q^2+1)],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^3*(q+1)^4, 1/6*(q-1)*(q^3+2*q^2-2)],
[q^6*(q-1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/4*q^2*(q+1)],
[q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/18*q^2*(q-1)^2],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3*(q+1)^3, 1/36*q^2*(q+1)*(q-2)*(q-1)^2],
[q^15*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1/2*q],
[q^20*(q^2+q+1)*(q^6-q^3+1)*(q^4-q^2+1)*(q^2-q+1)^2, q],
[q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/8*q^3*(q-1)*(q+1)],
[(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4, 1/36*(q+2)*(q-1)*(q^4-3*q^2-2*q+2)],
[q^2*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*q^3*(q-1)],
[q^11*(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q^6*(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*q*(q-1)*(q-2)],
[q^3*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*q*(q+1)*(q-2)],
[q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, 1/4*q*(q+1)*(q-2)],
[q^7*(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*q],
[q^4*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[q*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/16*q^2*(q-2)*(q-3)*(q+1)],
[q^3*(q+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/12*q*(q-1)*(q-2)],
[(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/108*q^2*(q-1)*(q^3-2*q^2+q-9)],
[q^3*(q^2+q+1)*(q^2-q+1)*(q^6-q^3+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/6*q^2*(q-1)],
[(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^5, 1/12*q^2*(q-1)*(q^3+q-1)],
[(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^6, 1/9*q^3*(q-1)*(q^2+q+1)],
[q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/6*(q-1)*(q^3+q^2+q+2)],
[(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^5, 1/8*q^4*(q-1)*(q+1)],
[q*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^36, 1],
[(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/16*q^3*(q-1)*(q-2)*(q+1)],
[q^6*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/4*q*(q-2)],
[q^3*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, 1/4*q^2*(q+1)*(q-2)],
[q^9*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q+1)^3, 1],
[q^4*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/3*q^2*(q-1)],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/6*q^2*(q-1)*(q-2)*(q+1)],
[q^10*(q-1)*(q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^12*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^2, 1/2*(q+1)*(q-2)],
[q^2*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*q*(q-2)*(q^2-2)],
[q^5*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/2*q^2-1/2*q-2],
[q^6*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/4*q*(q-2)],
[q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/8*q*(q+1)*(q-2)^2],
[q^7*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[(q-1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 1/96*q*(q-2)*(q-3)*(q+2)*(q^2-q-4)],
[q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 1/12*q^4-1/4*q^3-1/2*q^2+5/6*q+4/3],
[q^2*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/16*q*(q-2)*(q-4)*(q+1)],
[q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/18*q^3*(q-1)^2],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^6, 1/12*q^2*(q-1)*(q+1)*(q^2-q+1)],
[q^12*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*q*(q-1)],
[(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^5, 1/10*q*(q-1)*(q-2)*(q+1)*(q^2+1)],
[q*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/6*(q-1)*(q^4-q^3-2*q-2)],
[q^6*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/6*q*(q-1)],
[q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3, 1/6*q*(q-1)*(q-2)*(q+1)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^4, 1/24*q*(q-1)*(q+1)^2*(q-2)^2],
[q^15*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1/2*q-1],
[q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/8*q^2*(q-2)*(q-3)*(q+1)],
[q^7*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/2*q-2],
[q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/8*(q-2)*(q-4)*(q+1)],
[q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-4)*(q^2-q-4)],
[q*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 1/48*(q-4)*(q^4-4*q^3-9*q^2+16*q+28)],
[q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/18*q*(q-1)*(q^2-q-3)],
[(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^5, 1/36*q*(q-1)*(q-2)*(q^3-q-3)],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+1)^2*(q+1)^5, 1/6*q*(q-1)*(q-2)],
[(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 1/36*(q-1)*(q^5-4*q^4+3*q^3-5*q^2+10*q+4)],
[(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^5, 1/96*q^2*(q-2)*(q-3)*(q-4)*(q+1)],
[q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^4, 1/12*(q-4)^2],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/48*(q-4)*(q^3-7*q^2+28)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4, 1/1152*(q-4)*(q+2)*(q^4-12*q^3+33*q^2+46*q-160)],
[(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^6, 1/648*q*(q-1)*(q-3)*(q+2)*(q^2-q-3)]
];