DegreesAndMultiplicities2A7sc_3mod8 := [
[1, 1],
[(q-1)*(q^2+1)*(q^4+1), q],
[q*(q^6-q^5+q^4-q^3+q^2-q+1), 1],
[(q^2+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^4+1), q],
[q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 1],
[q*(q^2+1)*(q^4+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2, q],
[(q-1)*(q^2+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^4+1), 1/2*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), 1],
[q*(q^2+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^4+1), q],
[(q+1)*(q^2+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^4+1), 1/2*(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],
[q^3*(q^2+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^4+1), 1],
[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), 2],
[1/2*(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)^4, 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), 1/2*q-1/2],
[q^4*(q^2+q+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^4+1), 1],
[(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, 1/2*q-3/2],
[q^4*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1],
[q*(q^2+q+1)*(q^2+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q-1)^2, q],
[q^2*(q-1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^2+1)^2, 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*(q-1)],
[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), q],
[(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*(q-1)*(q-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*(q-1)],
[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*(q-1)],
[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],
[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), q],
[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],
[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), 1],
[(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*(q+1)*(q-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+1)*(q-2)],
[(q^2+q+1)*(q^2+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^3*(q^2+q+1)*(q^2+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q-1)^2, q],
[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), 1],
[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],
[(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*(q-1)],
[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],
[(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*(q-1)],
[q^2*(q^2+q+1)*(q^2+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^2-q+1)^2, q],
[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],
[q^6*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^2+1)^2, 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, 1/2*(q+1)*(q-2)],
[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],
[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*(q-1)],
[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],
[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*(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*(q-1)*(q-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*(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],
[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],
[q^7*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2, 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*(q-1)],
[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],
[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*(q-1)],
[q^3*(q^2+q+1)*(q^2+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^2-q+1)^2, q],
[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), 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],
[(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*(q+1)*(q-2)],
[q^2*(q+1)*(q^2+q+1)*(q^2+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)*(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)^3, 1/2*(q+1)*(q-2)],
[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],
[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-q+1)^2, 2],
[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, q+1],
[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, q+1],
[1/2*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, 2],
[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)^4, q-1],
[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*(q-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, 1/24*q*(q-1)*(q-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, 1/4*(q-1)*(q^2-2*q-1)],
[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*(q-1)],
[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*(q-1)],
[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)],
[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, 1/2*q-1/2],
[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],
[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],
[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*(q-1)],
[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*(q+1)*(q-2)],
[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],
[(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*(q-1)*(q-2)*(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+1)^2, 1/2*q*(q-1)],
[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],
[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, q],
[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), 1/2*q*(q-1)],
[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^2*(q-1)*(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)^3, 1/4*(q+1)*(q^2-2*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), 1],
[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],
[(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)*(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],
[q^8*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^2+1)^2, 1],
[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)*(q-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*(q+1)*(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)^3, 1/4*q^2*(q-1)*(q+1)],
[q^2*(q^2+q+1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q+1)^2, 1/2*(q+1)*(q-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)*(q-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), 1/2*(q+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, 1/8*(q+1)*(q-2)*(q^2-q-4)],
[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, 1/2*q-3/2],
[(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)^4, 1/4*(q-3)*(q^2-3)],
[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, q],
[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],
[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*(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*(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*(q-1)*(q-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, 1/2*q*(q-1)],
[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), 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],
[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],
[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*(q-1)],
[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],
[(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-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, 1/2*(q+1)*(q-2)],
[1/4*(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+1)^2, 4],
[1/4*(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, 8],
[1/4*(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, 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+1)^2*(q^2-q+1)^2, 1/2*q-3/2],
[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],
[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^2+1)^2, 2],
[1/2*(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, q-3],
[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)^4, 2],
[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+1)^4, 3/2*q-9/2],
[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)^4, 1/2*q*(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+1)^2*(q-1)^3, 1/2*q*(q-1)*(q-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*(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-1)^2*(q^2+1)^2, 1/6*q*(q-1)*(q-2)*(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*(q-1)*(q-2)],
[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, q],
[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],
[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*(q-1)],
[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],
[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*(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],
[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*(q-1)*(q-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+1)^2*(q^2-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^2-q+1)^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+1)^2*(q^2-q+1)^2, 1/24*(q-1)*(q-3)*(q+1)],
[q^11*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q-1)^3, 1],
[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)*(q-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],
[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*(q+1)*(q-2)],
[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],
[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*(q+1)*(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, q*(q-1)],
[(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*(q-1)*(q-2)*(q+1)],
[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, q],
[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*(q+1)*(q-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, 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^2*(q-1)*(q+1)],
[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],
[(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+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+1)^2, 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-1)^2*(q^2+1)^2*(q+1)^4, 1/3*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), 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, 1/2*(q+1)*(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-1)^2*(q^2-q+1)^2*(q+1)^6, 1/4*(q+1)*(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)^4, 1/2*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^2-q+1)^2*(q+1)^4, 1/8*(q-3)*(q^2-5)],
[(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*(q-1)*(q-2)*(q-3)*(q-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)^2*(q^2-q+1)^2, 1/24*q*(q-1)*(q-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^2+1)^2*(q-1)^3, 1/2*q*(q-1)],
[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^2*(q-1)*(q-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+1)^2*(q^2-q+1)^2, 1/6*q*(q-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^2-q+1)^2, 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^2+1)^2*(q^2-q+1)^2, 1/12*q*(q-1)*(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],
[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^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)^2*(q^2+1)^2, 1/12*q*(q-1)*(q+1)*(q-2)^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*(q-1)],
[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*(q-1)],
[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*(q-1)*(q-2)*(q+1)],
[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*(q-1)*(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^2-q+1)^2, q*(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^2-q+1)^2, q*(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+1)^2*(q^2-q+1)^2, 1/6*q*(q-1)*(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, 1/6*q^2*(q+1)*(q-1)^2],
[q^9*(q^2+q+1)*(q^2+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q-1)^2, q],
[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*(2*q-3)*(q+2)*(q+1)],
[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*(q-1)],
[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],
[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), 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-2)*(q+1)],
[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*(q-1)],
[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],
[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*(q-1)*(q-2)*(q+1)],
[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, q],
[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), q],
[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+1)^2*(q^2-q+1)^2, 1/2*q*(q+1)*(q-2)],
[q^7*(q^2+q+1)*(q^2+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(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^2-q+1)^2, 1/2*q*(q+1)*(q-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*(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^2-q+1)^2, 1/12*q*(q-1)*(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^4+1)*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/6*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)*(q-1)^2*(q+1)^3, 1/4*q^3*(q-1)*(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^2*(q-1)*(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-1)^2*(q+1)^2*(q^2+1)^2, 1/3*q^2*(q-1)*(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],
[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^15*(q^2+q+1)*(q^2-q+1)*(q^6-q^5+q^4-q^3+q^2-q+1), 1],
[q^13*(q^2+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^4+1), 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-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, (q+1)*(q-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*(q+1)*(q-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],
[(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*(q+1)*(q-2)*(q^2-q-4)],
[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)*(q-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, 1/8*(q-1)*(q-2)*(q+4)*(q+1)],
[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*(q+1)*(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^2+1)^2*(q-1)^3*(q+1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[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, 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^2+1)^2*(q+1)^3, 1/6*q*(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)*(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)^3, 1/2*(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^2-q+1)^2*(q+1)^3, 1/4*(q+1)*(q-2)*(q^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)^5, 1/6*q*(q-1)*(q-2)*(q+1)],
[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)^4, q-1],
[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^2-q+1)^2, 1/4*(q-1)*(q-3)],
[1/2*q^2*(q+1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^2+1)^2*(q-1)^3, q+1],
[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+1)^2*(q^2-q+1)^2, 1/4*(q-1)*(q+1)],
[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)*(q^2-q+1)^2, 2],
[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*(q^2-q+1)^2, 1/2*(q-1)*(q+1)],
[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^2-q+1)^2, q-1],
[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],
[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)^3, (q-1)*(q+1)],
[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^2-q+1)^2, 2*q+2],
[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^2-q+1)^2, 1/4*(q+1)*(3*q-7)],
[1/2*(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, 1/2*(q-1)*(q+1)],
[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, 2],
[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-q+1)^2*(q+1)^4, q-1],
[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)^4, q-1],
[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)^4, 1/4*(3*q+1)*(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^2+1)^2*(q-1)^4, 1/4*(q-1)*(q^2-2*q-1)],
[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*(q-1)*(q-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^2-q+1)^2, 1/48*(q-3)*(q^2-5*q+3)*(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^2+1)^2*(q-1)^3, 1/2*q*(q-1)],
[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*(q+4)*(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, 1/24*q*(q-1)*(q-2)*(q+21)],
[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*(q-1)*(q-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+1)^2*(q^2-q+1)^2, 1/4*q*(q-1)*(q-2)*(q-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],
[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)*(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-1)^2*(q+1)^2*(q^2-q+1)^2, 1/48*(q-1)*(q-3)*(q+1)*(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)^2*(q^2+1)^2, q*(q-1)],
[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*(q-1)],
[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*(q-1)*(q-2)*(q+1)],
[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*(q-1)],
[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*(q-1)],
[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, 1/2*q-1/2],
[q^3*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^2+1)^2, q*(q-1)*(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+1)^2*(q^2-q+1)^2, 1/8*(q+1)*(q^2-3*q+1)*(q-1)^2],
[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, q*(q-1)],
[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^2-q+1)^2, 1/4*(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+1)^2*(q^2+1)^2*(q-1)^3, 1/3*q^2*(q-1)*(q+1)],
[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],
[q^11*(q-1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^2+1)^2, q],
[(q^2+q+1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/6*q^2*(q+1)*(q-1)^2],
[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*(q+1)*(q-2)],
[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), q],
[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-2)*(q+1)],
[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*(q-1)],
[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*(q-1)*(q-2)*(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), 1/2*q*(q-1)],
[q^8*(q^2+q+1)*(q^2+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^2-q+1)^2, q],
[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*(q+1)*(q-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, 1/2*q*(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+1)^2*(q^2-q+1)^2, 1/4*q*(q-1)*(q-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^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^2*(q-1)*(q+1)],
[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-2)],
[q^16*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1), 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)*(q^2-2*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*(q+1)^3, 1/4*(q^3-3*q^2+1+2*q)*(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), q],
[q^7*(q+1)*(q^2+q+1)*(q^2+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)*(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+1)^2*(q^2-q+1)^2, 1/2*(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*(q+1)*(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^2-q+1)^2, 1/16*(q+1)*(q^4-3*q^3-2*q^2+5*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)*(q-1)^2*(q+1)^4, 1/6*q*(q-1)*(q-2)*(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^2*(q-1)*(q+1)],
[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, 1/2*(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, 1/2*(q+1)*(q-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+1)^2*(q+1)^3, 1/2*(q+1)*(q-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^2-q-4)],
[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-2)*(q^2-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-q+1)^2*(q+1)^5, 1/8*(q-1)*(q+1)*(q^3-2*q^2-1)],
[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, 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+1)^4, 1/4*(q-3)*(q^2-3)],
[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^2+1)^2*(q+1)^4, 1/4*(q-3)*(q^2-3)],
[(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)^4, 1/16*(q^3+2*q^2-2*q-5)*(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^2+1)^2*(q-1)^4, 1/120*q*(q-1)*(q-2)*(q-3)*(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+1)^2*(q-1)^3, 1/720*q*(q-5)*(q-1)*(q-2)*(q-3)*(q-4)],
[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*(q-1)*(q-2)*(q-3)],
[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*(q-1)*(q-2)*(q-3)],
[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^2-q+1)^2, 1/24*q*(q-1)*(q-2)*(q-3)*(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-1)^3, 1/2*q*(q-1)*(q-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*(q-1)*(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^2+1)^2*(q-1)^3, 1/12*q*(q-1)*(q+1)*(q-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)*(q-1)^2*(q^2+1)^2, 1/6*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*(q^2-q+1)^2, 1/48*q*(q-1)*(q-3)*(q+1)*(q-2)^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*(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^2+1)^2*(q^2-q+1)^2, 1/4*q*(q-1)*(q-2)*(q-3)],
[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^2*(q+1)*(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)^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, 1/18*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*(q-1)],
[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*(q-1)],
[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*(q-1)],
[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*(q-1)*(q-2)*(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)],
[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*(q-1)*(q-2)*(q+1)],
[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*(q-1)*(q-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+1)^2*(q^2-q+1)^2, 1/4*q*(q-1)*(q+1)*(q-2)^2],
[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, 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^2-q+1)^2, 1/6*q*(q-1)*(q-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)^3*(q+1)^3, 1/4*q^3*(q-1)*(q+1)],
[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^2*(q-1)*(q+1)],
[q^11*(q^2+q+1)*(q^2+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q-1)^2, q],
[q^15*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2, q],
[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*(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*(q+1)^3, 1/8*q^3*(q+1)*(q-1)^2],
[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],
[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*(q+1)*(q-2)],
[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*(q+1)*(q-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*(q+1)*(11*q^3-25*q^2+2*q+24)],
[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*(q-1)],
[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), q],
[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), 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^2-q+1)^2, 1/4*q*(q-1)*(q-2)*(q+1)],
[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*(q-1)],
[q^3*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^2+1)^2, 1/2*q*(q-1)*(q-2)*(q+1)],
[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), 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^2+1)^2*(q^2-q+1)^2, 1/16*q*(q-1)*(q-2)*(q+1)*(q^2-q-4)],
[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*(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^2+1)^2*(q^2-q+1)^2, 1/4*q*(q-1)*(q-2)*(q+1)],
[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^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^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*(q-1)*(q-2)*(q+1)^2],
[q^21*(q^6-q^5+q^4-q^3+q^2-q+1), 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^2-q+1)^2*(q-1)^3*(q+1)^4, 1/5*q^2*(q-1)*(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^2*(q-1)*(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+1)^2*(q^2+1)^2, 1/3*q^2*(q-1)*(q+1)],
[(q^2+q+1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^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^15*(q^2+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^4+1), q],
[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)*(q-2)],
[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^3*(q-1)*(q+1)],
[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, 1/2*(q+1)*(q-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*(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)^2*(q^2-q+1)^2, 1/8*(q-1)*(q-2)*(q+4)*(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+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/8*q*(q+1)*(q-2)*(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+1)^2*(q-1)^3*(q+1)^4, 1/18*q*(q-1)*(q+1)*(q^3-q-3)],
[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, 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^2+1)^2*(q+1)^5, 1/6*q*(q-1)*(q+1)*(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*(q+1)^4, 1/8*q^2*(q-1)*(q-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)*(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)^3, 1/4*(q+1)*(q-2)*(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+1)^2*(q^2-q+1)^2*(q+1)^3, 1/48*(q-2)*(q-3)*(q+2)*(q+1)*(q^2-q-4)],
[1/4*(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+1)^2*(q-1)^4, 1/2*q-3/2],
[1/4*(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*(q-1)^3*(q+1)^3, 2*q+2],
[1/4*(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*(q^2-q+1)^2, q+1],
[1/4*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+1)^2, 4],
[1/4*(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^2+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^7, 4*q-4],
[1/4*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, 8],
[1/4*(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+1)^6, 4*q-8],
[1/4*(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*(q+1)^5, 2*q+2],
[1/4*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*(q+1)^4, 4],
[1/4*(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+1)^2*(q+1)^4, 5/2*q-15/2],
[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^2-q+1)^2*(q-1)^4, 1/96*(q-7)*(q-3)*(q+1)],
[1/2*(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+1)^2*(q-1)^3, 1/24*(q-1)*(q-3)*(q+1)],
[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^2+1)^2*(q^2-q+1)^2, 1/4*(q-1)*(q-3)],
[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, 1/8*(q-3)*(q+1)^2],
[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, 1/4*(q-1)*(q+1)],
[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)*(q-1)^2*(q^2+1)^2, q-1],
[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+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/16*(3*q-1)*(q-3)*(q+1)],
[1/2*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+1)^2*(q^2-q+1)^2, 1/2*(q-1)*(q+1)],
[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^2+1)^2*(q^2-q+1)^2, 1/2*q-3/2],
[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)^4*(q+1)^4, 1/3*q*(q-1)*(q+1)],
[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, 1/3*q*(q-1)*(q+1)],
[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)^4, 1/4*(q-1)*(q+1)^2],
[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, q+1],
[1/2*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), 2],
[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^2-q+1)^2*(q+1)^3, (q-1)*(q+1)],
[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, q+1],
[1/2*(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+1)^2*(q+1)^3, 1/24*(7*q+5)*(q-3)*(q+1)],
[1/2*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, q+1],
[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^2+1)^2*(q^2-q+1)^2, 1/4*(q+1)*(3*q-7)],
[1/2*(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, 1/2*(q+1)*(q-1)^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, q-3],
[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-q+1)^2*(q+1)^6, 5/8*q^3-5/8*q^2-17/8*q+25/8],
[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, 1/3*q*(q-1)*(q+1)],
[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, 1/3*q*(q-1)*(q+1)],
[1/2*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, 2],
[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-q+1)^2*(q+1)^5, 1/2*(q-1)*(q+1)],
[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, 1/8*(3*q-1)*(q-3)*(q+1)],
[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, q-1],
[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^2-q+1)^2*(q+1)^4, 3/2*q-9/2],
[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)^4, 1/4*(3*q+1)*(q-3)],
[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^2-q+1)^2*(q+1)^4, 1/96*(q-3)*(25*q^2-30*q-151)],
[(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+1)^2*(q-1)^4, 1/40320*(q-1)*(q-3)*(q-5)*(q-7)*(q+1)*(q^2-6*q+15)],
[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^2-q+1)^2*(q-1)^3, 1/720*q*(q-5)*(q-1)*(q-2)*(q-3)*(q-4)],
[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*(q-1)*(q-2)*(q-3)*(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^2-q+1)^2*(q-1)^3, 1/1440*(q-1)*(q-3)*(q+1)*(q^4-8*q^3+20*q^2-16*q-15)],
[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^2-q+1)^2, 1/48*(q-3)*(q^2-5*q+3)*(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, 1/360*q^2*(q-2)*(q-3)*(q+1)*(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, 1/24*q*(q-1)*(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, 1/6*q*(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-1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/48*q*(q-1)*(q-3)*(q+1)*(q-2)^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*(q^2-q+1)^2, 1/12*q*(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^2-q+1)^2*(q-1)^3*(q+1)^3, 1/96*(q^3-3*q^2+3*q-3)*(q-1)^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, 1/18*q^2*(q+1)*(q-2)*(q-1)^2],
[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*(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-1)^2*(q+1)^2*(q^2-q+1)^2, 1/48*(q-1)*(q-3)*(q+1)*(q^2-q+1)],
[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-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-1)^2*(q^2+1)^2, 1/12*q*(q-1)*(q+1)*(q-2)^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*(q-1)*(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*(q^2-q+1)^2, 1/192*(q-1)*(q-3)*(q+1)*(q^4-2*q^3-2*q^2+6*q-7)],
[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*(q-1)*(q-2)],
[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+1)^2*(q^2-q+1)^2, 1/8*(q+1)*(q^2-3*q+1)*(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^2+1)^2*(q^2-q+1)^2, 1/24*(q-1)*(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+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/30*q^2*(q+1)*(q^2+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+1)^2*(q-1)^3, 1/6*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-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*(q-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-1)^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*(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+1)^2*(q^2+1)^2, 1/6*q^2*(q+1)*(q-1)^2],
[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*(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*(q-1)*(q-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)*(q+1)^2*(q^2-q+1)^2, 1/4*q*(q-1)*(q-2)*(q+1)],
[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*(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*(q-1)*(q-2)*(q+1)],
[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), 1/2*q*(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+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/16*q*(q-1)*(q-2)*(q+1)*(q^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^2-q+1)^2, 1/12*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)^4*(q+1)^4, 1/36*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^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*(q-1)^3*(q+1)^5, 1/12*q*(q+1)*(q^3+q^2+2*q+1)*(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)^2*(q+1)^2, 1/3*q^2*(q-1)*(q+1)],
[q^21*(q-1)*(q^2+1)*(q^4+1), q],
[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^3*(q-1)*(q+1)],
[q*(q^2+q+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^4, 1/5*q^2*(q-1)*(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)*(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-1)^2*(q+1)^2*(q^2+1)^2, 1/3*q^2*(q-1)*(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],
[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), 1/2*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^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*(q+1)*(q-2)],
[q^16*(q^2+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q^4+1), q],
[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-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+1)^2*(q+1)^3, 1/4*(q^3-3*q^2+1+2*q)*(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)*(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+1)^2*(q^2+1)^2, 1/8*q*(q+1)*(q-2)*(q^2-q-4)],
[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*(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^2-q+1)^2*(q+1)^3, 1/96*(q-1)*(q-3)*(q+1)*(q^4-8*q^2-4*q+5)],
[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, 1/4*(q+1)*(q^2-2*q-1)],
[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^2-q+1)^2, 1/16*(q+1)*(q^4-3*q^3-2*q^2+5*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)*(q-1)^3*(q+1)^5, 1/12*q^3*(q-1)^2*(q+1)^2],
[(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^6, 1/7*q*(q-1)*(q+1)*(q^2+q+1)*(q^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+1)^2*(q-1)^3*(q+1)^4, 1/18*q*(q-1)*(q+1)*(q^3-q-3)],
[q^10*(q^2+q+1)*(q^2+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^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^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, 1/3*q*(q-1)*(q+1)],
[q^28, 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*(q-1)*(q-2)*(q+1)^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^2*(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+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^5, 1/10*q*(q-1)*(q-2)*(q^2+1)*(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+1)*(q^3+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*(q-1)*(q-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*(q-1)*(q-2)*(q^2-q-4)*(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)*(q-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, 1/2*(q+1)*(q-2)],
[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-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)*(q-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-2)*(q^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^2-q+1)^2*(q+1)^3, 1/4*(q+1)*(q-2)*(q^2-q-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+1)^2*(q^2-q+1)^2*(q+1)^3, 1/48*(q-2)*(q-3)*(q+2)*(q+1)*(q^2-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^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^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, 1/4*(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-1)^2*(q^2-q+1)^2*(q+1)^6, 1/32*(q+1)*(q^2-3)*(q^2+3)*(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^2-2*q-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-1)^2*(q^2+1)^2*(q+1)^5, 1/6*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)^6, 1/12*q*(q-1)*(q+1)*(q^4-2*q^3+q^2-3*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, 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+1)^5, 1/8*(q-1)*(q+1)*(q^3-2*q^2-1)],
[(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*(q+1)^5, 1/32*(q-1)*(q+1)*(q^5-3*q^4-2*q^3+8*q^2-3*q+7)],
[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-3)*(q^2-3)],
[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, 1/8*(q-3)*(q^2-5)],
[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^3+2*q^2-2*q-5)*(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+1)^2*(q^2-q+1)^2*(q+1)^4, 1/384*(q-1)*(q-3)*(q+1)*(q^4-2*q^3-14*q^2+18*q+37)]
];