DegreesAndMultiplicitiesE6sc_2mod6 := [
[1, 1],
[q*(q^6+q^3+1)*(q^4+1), 1],
[q^2*(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^6+q^3+1)*(q^4-q^2+1)*(q^2+q+1)^2, q-2],
[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],
[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],
[(q-1)*(q^2-q+1)*(q^2+1)*(q^2+q+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+1)*(q^2+q+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-q+1)^2*(q^2+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-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^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*(q-1)],
[q^6*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2, 1],
[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^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-2)*(q-3)],
[q^5*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+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-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)*(q^4+q^3+q^2+q+1), 1/2*q],
[(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^6*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1],
[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-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^2+q+1)^2, q-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)*(q^4+q^3+q^2+q+1), 1/2*q-1],
[(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-2)*(q-4)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 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],
[1/6*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^4, 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^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2, 1],
[1/3*q^7*(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1],
[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-2],
[1/2*q^7*(q^4+q^3+q^2+q+1)*(q^4+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^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-2],
[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-2],
[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-2],
[q*(q^4+q^3+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-1)^4, 1/3*q*(q+1)],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+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+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 1/2*q-1],
[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*(q-1)],
[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-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+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^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-1],
[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+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-2],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(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+q+1)^2*(q^2+1)^2, 1/6*(q-2)*(q-3)],
[(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^2+q+1)^2*(q-1)^4, 1/12*(q-2)^2],
[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^2+q+1)^2*(q-1)^3, 1/2*q-1],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/6*q*(q+1)],
[(q^2+1)*(q^4+q^3+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-q+1)^2, 1/8*q*(q-1)*(q-2)],
[q^3*(q-1)*(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^2-q+1)^2, 1/2*q],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 1],
[(q+1)*(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^2+q+1)^2*(q-1)^3, 1/4*q*(q-2)],
[q^12*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2, 1],
[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*(q-1)],
[q^3*(q-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)*(q^2+1)^2, 1/2*q],
[q*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[(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, 1/4*q*(q-2)],
[(q^2+1)*(q^4+q^3+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-1)^4, 1/6*(q+1)*(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-1)^3*(q^2+q+1)^3, 1/4*q^2*(q-1)],
[(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)^3, 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^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, q-2],
[q*(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)^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^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*q*(q-2)*(q-3)],
[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*(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-1],
[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-2],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-2)*(q-3)],
[q^3*(q+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)*(q^2+1)^2, 1/2*q-1],
[q^2*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-2],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-2)*(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+1)^2*(q^2-q+1)^2, 1/12*(q-2)*(q-6)],
[q*(q^4+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)^3, 1/2*(q-2)*(q-4)],
[(q^2+1)*(q^4+q^3+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-q+1)^2, 1/8*(q-5)*(q-2)*(q-4)],
[q^2*(q^4+q^3+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],
[(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+1)*(q-2)],
[q^11*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1), 1],
[q^5*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^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^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-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-2],
[(q+1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/2*(q-2)*(q-5)],
[q*(q^4+q^3+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)^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-q+1)^2*(q^2+1)^2, 1/3*q*(q+1)*(q-2)],
[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],
[q^13*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1],
[q^2*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*q*(q-2)],
[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+1)^2*(q^2-q+1)^2, 1/2*q*(q-2)],
[q*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q*(q-2)],
[(q-1)*(q+1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/2*q*(q-2)*(q-3)],
[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-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^2+q+1)^2, q-2],
[q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 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+1)^2*(q^2-q+1)^2, q-2],
[q^3*(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^2+q+1)^3, q-2],
[q*(q+1)*(q^4+q^3+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)^2*(q^2-q+1)^2, (q-2)*(q-5)],
[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-1],
[q^2*(q^2+1)*(q^4+q^3+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-q+1)^2, 1/2*(q-2)*(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^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/6*(q-2)*(q-6)],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-2)*(q-4)],
[(q^4+q^3+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)^2*(q^2-q+1)^2, 1/6*(q-5)*(q-6)*(q-2)],
[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)*(q+1)^2*(q^2+1)^2*(q-1)^6, 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-2],
[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+q+1)^3*(q-1)^4, 1/6*(q-2)*(q-3)],
[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^2+1)*(q^4+q^3+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-q+1)^2, 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^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+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^4+1)*(q^4-q^2+1)*(q^6+q^3+1), 1],
[1/2*q^3*(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)^3, q*(q-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^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 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-2],
[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)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/6*(q-2)*(q-3)],
[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-2],
[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-2)*(q-3)],
[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)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/6*(q-2)*(q-3)],
[(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)*(q+1)^2*(q^2+1)^2*(q-1)^5, 1/6*q^2*(q+1)],
[(q^4+q^3+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*(q-1)^4, 1/18*q*(q+1)*(q^2+q-3)],
[q^3*(q^4+q^3+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],
[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+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, 1/6*q^2*(q-1)*(q+1)],
[q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/3*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)^3, 1/2*q-1],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*(q+1)*(q-2)^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^4+q^3+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^3-q^2+q-2)],
[(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)*(q^2+1)^2*(q+1)^3*(q-1)^4, 1/6*q*(q+1)*(q-2)],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^3*(q-1)^4, 1/4*q^3*(q-1)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 1],
[q*(q+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*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+1)*(q-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+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/3*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+1)^2*(q-1)^3*(q^2+q+1)^3, 1/12*(q-2)*(q^3-q^2-2*q-2)],
[q*(q^2+1)*(q^4+q^3+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+q+1)^3, 3/8*q*(q-1)*(q-2)],
[(q+1)*(q^4+q^3+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)^2*(q^2+q+1)^2, 1/8*q^2*(q-1)*(q-2)],
[q^6*(q-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)*(q^2+1)^2, 1/2*q],
[q^3*(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-2)],
[q^2*(q-1)*(q^4+q^3+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)^2*(q^2+q+1)^2, 1/2*q*(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)^3, 1/18*q*(q-2)*(q-3)*(q+1)],
[(q+1)*(q^2+1)*(q^4+q^3+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+q+1)^3, 1/4*q*(q-1)*(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^3*(q-1)*(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^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^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q*(q-2)],
[q*(q-1)*(q+1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/2*q*(q-2)*(q-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-q+1)^2*(q^2+1)^2, q-2],
[(q-1)*(q^4+q^3+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^2+q+1)^3, 1/12*q*(q-2)*(q-3)],
[q*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/4*q*(q-2)*(q-3)],
[(q-1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/12*q*(q-2)*(q-3)*(q-4)],
[q^6*(q+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)*(q^2+1)^2, 1/2*q-1],
[q^4*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 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+1)^2*(q^2-q+1)^2, 1/6*(q-2)*(q-6)],
[q^4*(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^2+q+1)^3, q-2],
[q^2*(q+1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/2*(q-2)*(2*q-9)],
[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-1],
[q^3*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-2)*(q-4)],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-2)*(q-4)],
[q*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/6*(q-5)*(q-2)*(q-3)],
[(q+1)*(q^4+q^3+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^2+q+1)^3, 1/12*(q-5)*(q-6)*(q-2)],
[q*(q^2+1)*(q^4+q^3+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+q+1)^3, 1/8*(q-5)*(q-2)*(q-4)],
[(q^4+q^3+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)^2*(q^2+q+1)^2*(q+1)^3, 1/72*(q-2)*(q-5)*(q-6)^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-2)^2],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^4, 1/48*(q-2)*(q^3-5*q^2+8)],
[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-1],
[q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*(q+1)*(q-2)^2],
[q^2*(q^4+q^3+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)^2*(q^2+q+1)^2, 1/8*q*(q-1)*(q-2)],
[q^5*(q^4+q^3+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],
[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+1)*(q-2)],
[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+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q*(q^3-2*q^2+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*(q-1)],
[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^4+q^3+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^2+q+1)^3, 1/16*q*(q-1)*(q-2)^2],
[q^3*(q-1)*(q^4+q^3+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)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^2*(q^4+q^3+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)^4, 1/6*(q+1)*(q-2)],
[(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)^3*(q-1)^4, 1/6*(q+1)*(q^3-2*q^2+2)],
[q^2*(q^4+q^3+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)^4, 1/6*q*(q+1)],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^3*(q^2+q+1)^3, 1/4*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*(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, 1/3*q*(q+1)*(q-2)],
[q*(q+1)*(q^2+1)*(q^4+q^3+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+q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^12*(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^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/6*q*(q+1)*(q-2)^2],
[q^4*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(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^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^3*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q*(q-2)],
[q^2*(q-1)*(q+1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/4*q*(q-2)*(q-3)],
[q*(q-1)*(q^4+q^3+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^2+q+1)^3, 1/4*q*(q-2)*(q-3)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^3*(q^2+q+1)^3, 1/8*q^2*(q-1)*(q-2)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/16*q*(q-1)*(q-2)*(q-4)],
[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-2],
[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^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^6*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-2)*(q-3)],
[q*(q-1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/2*q*(q-2)*(q-3)],
[q^6*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-2],
[q^5*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, q-2],
[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+1)^2*(q^2-q+1)^2, q-2],
[(q-1)*(q+1)*(q^4+q^3+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^2+q+1)^3, 1/8*q*(q-2)*(q-3)*(q-4)],
[q^3*(q+1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/2*(q-2)*(2*q-9)],
[q^4*(q^2+1)*(q^4+q^3+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-q+1)^2, 1/2*(q-2)*(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-1],
[q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-2)*(q-4)],
[q^2*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/8*(q-5)*(q+4)*(q-2)],
[q*(q+1)*(q^4+q^3+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^2+q+1)^3, 1/4*(q-5)*(q-6)*(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-2)*(q-6)],
[q*(q^4+q^3+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)^2*(q^2+q+1)^2*(q+1)^3, 1/6*(q-5)*(q-6)*(q-2)],
[(q^4+q^3+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)^2*(q^2+q+1)^3, 1/48*(q-5)*(q-6)*(q-2)*(q-8)],
[q*(q^4+q^3+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)^6, 1/6*(q+1)*(q^3-q^2+q-2)],
[q^7*(q^4+q^3+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-1)^4, 1/3*q*(q+1)],
[q*(q^4+q^3+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*(q+1)^4, 1/18*q*(q+1)*(q^2+q-3)],
[q*(q+1)*(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^2+q+1)^3*(q-1)^5, 1/4*q^3*(q-1)],
[q^7*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^4, 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)^5, 1/6*(q+1)*(q^4-q^3+2*q^2-2*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^2*(q-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^2+q+1)^3*(q-1)^4, 1/2*(q+1)*(q-2)],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^4, 1/8*q^3*(q-1)^2],
[q^6*(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^2+q+1)^2*(q-1)^3, 1/2*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+1)^2*(q^2+q+1)^3*(q-1)^4, 1/12*(q-2)*(q^3-q^2-2*q-2)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*(q+1)*(q-2)^2],
[(q^4+q^3+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*(q^2+q+1)^3, 1/48*(q-2)*(q^4-4*q^3-q^2+4*q+8)],
[(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*(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^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q^2*(q-1)],
[q^25*(q^6+q^3+1)*(q^4+1), 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^2*(q-1)*(q+1)],
[q^4*(q^4+q^3+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)^2*(q+1)^3, 1/3*q*(q+1)],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q^3*(q-1)],
[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*(q-1)],
[(q^4+q^3+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)^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+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1), 1/2*q],
[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-q+1)^2*(q^2+1)^2, 1/3*q*(q+1)*(q-2)],
[q^3*(q^2+1)*(q^4+q^3+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+q+1)^3, 3/8*q*(q-1)*(q-2)],
[q^6*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(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^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^2+q+1)^3, 1/8*q*(q-1)*(q-2)^2],
[(q^2+1)*(q^4+q^3+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-1)^3*(q^2+q+1)^3, 1/8*q^2*(q-1)*(q-2)*(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)^3, 1/3*q*(q+1)*(q-2)],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+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+q+1)^3, 1/4*q*(q-1)*(q-2)],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/24*q*(q-2)*(11*q^2-11*q-16)],
[q^6*(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)^2*(q^2-q+1)^2, 1/2*q*(q-2)],
[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-2],
[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-2],
[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+1)^2*(q^2-q+1)^2, 1/2*q*(q-2)],
[(q+1)*(q^4+q^3+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^2+q+1)^3, 1/16*q*(q-1)*(q-2)*(q^2-3*q-2)],
[q^4*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q*(q-2)],
[q^3*(q-1)*(q+1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/2*q*(q-2)*(q-3)],
[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-1],
[q^2*(q-1)*(q^4+q^3+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^2+q+1)^3, 1/4*q*(q-2)*(q-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-q+1)^2*(q^2+1)^2*(q+1)^4, 1/18*q*(q-2)*(q-3)*(q+1)],
[(q^4+q^3+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)^2*(q^2-q+1)^2*(q+1)^3, 1/18*q*(q+1)*(q-3)*(q-2)^2],
[q^10*(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)*(q^4+q^3+q^2+q+1), 1/2*q-1],
[q^3*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/4*q*(q-2)*(q-3)],
[q^2*(q-1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/2*q*(q-2)*(q-3)],
[q^7*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-2],
[q^6*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-2)*(q-4)],
[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+1)^2*(q^2-q+1)^2, q-2],
[q*(q-1)*(q+1)*(q^4+q^3+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^2+q+1)^3, 1/4*q*(q-2)*(q-3)*(q-4)],
[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-2)*(q-3)],
[q^4*(q+1)*(q^4+q^3+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)^2*(q^2-q+1)^2, (q-2)*(q-5)],
[q*(q-1)*(q^4+q^3+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)^2*(q^2-q+1)^2*(q+1)^3, 1/12*q*(q-2)*(q-3)*(q-4)],
[q^6*(q^4+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)^3, 1/2*(q-2)*(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-2)*(q-6)],
[(q-1)*(q^4+q^3+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)^2*(q^2+q+1)^3, 1/48*q*(q-5)*(q-2)*(q-3)*(q-4)],
[q^4*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-2)*(q-4)],
[q^3*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/6*(q-5)*(q-2)*(q-3)],
[q^2*(q+1)*(q^4+q^3+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^2+q+1)^3, 1/4*(q-5)*(q-6)*(q-2)],
[q^3*(q^2+1)*(q^4+q^3+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+q+1)^3, 1/8*(q-5)*(q-2)*(q-4)],
[q^2*(q^4+q^3+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)^2*(q^2+q+1)^2*(q+1)^3, 1/6*(q-5)*(q-6)*(q-2)],
[q*(q^4+q^3+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)^2*(q^2+q+1)^3, 1/24*(q-5)*(q-6)*(q-2)*(q-8)],
[q*(q^4+q^3+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)^2*(q^2-q+1)^2*(q+1)^4, 1/72*(q-2)*(q-5)*(q-6)^2],
[(q^4+q^3+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*(q^2+q+1)^3, 1/720*(q-5)*(q-6)*(q-2)*(q-8)*(q-9)],
[(q^4+q^3+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*(q-1)^6, 1/648*q*(q-2)*(q+3)*(q+1)*(q^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+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^6, 1/36*(q+1)*(q-2)*(q^4+3*q^2-q+2)],
[q^3*(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)*(q+1)^2*(q^2+1)^2*(q-1)^5, 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, 1/36*q^2*(q+1)*(q^3-q-3)],
[q^3*(q^4+q^3+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*(q-1)^4, 1/18*q*(q+1)*(q^2+q-3)],
[(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^5, 1/96*q^3*(q-2)*(q-1)^2],
[q^6*(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^2+q+1)^2*(q-1)^4, 1/12*(q-2)^2],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^4, 1/48*(q-2)*(q^3-5*q^2+8)],
[(q^4+q^3+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^2+q+1)^3*(q-1)^4, 1/1152*(q-2)*(q^5-8*q^4+9*q^3+38*q^2-8*q-64)],
[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-1)^5, 1/6*(q+1)*(q^4-q^3+2*q^2-2*q+2)],
[(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*(q^2+q+1)^3*(q-1)^5, 1/10*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^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*(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^2*(q-2)*(q+1)^2],
[q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3*(q-1)^4, 1/8*q^3*(q-1)^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^2+q+1)^2*(q-1)^3, 1/2*q-1],
[(q^4+q^3+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)^2*(q^2-q+1)^2*(q-1)^4, 1/24*q^3*(q+1)*(q-1)^2],
[q^15*(q-1)*(q^2-q+1)*(q^2+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1), 1/2*q],
[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, 1/6*q^2*(q-1)*(q+1)],
[q^6*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2, 1/6*q*(q+1)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*(q+1)*(q-2)^2],
[q^6*(q^2+1)*(q^4+q^3+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-q+1)^2, 1/8*q*(q-1)*(q-2)],
[q*(q^4+q^3+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*(q^2+q+1)^3, 1/48*(q-2)*(q^4-4*q^3-q^2+4*q+8)],
[(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+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^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^3-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^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q-1)^5, 1/12*q*(q+1)*(q-2)*(q^3+q-1)],
[q^3*(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)*(q^2+1)^2*(q+1)^3*(q-1)^4, 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^2-q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/108*q*(q+1)*(q-2)*(q^3-2*q^2-3*q-9)],
[q^3*(q+1)*(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^2+q+1)^3*(q-1)^4, 1/4*q^3*(q-1)],
[q^9*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 1],
[(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^4+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)^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^4+1)*(q^4-q^2+1)*(q^6+q^3+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+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q-1)^3, 1/4*q*(q-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+1)*(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*(q-1)],
[q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q*(q^3-2*q^2+2)],
[q*(q^4+q^3+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)^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^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-q+1)^2*(q^2+1)^2, 1/3*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+1)^2*(q-1)^3*(q^2+q+1)^3, 1/12*(q-2)*(q^3-q^2-2*q-2)],
[(q+1)*(q^4+q^3+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*(q^2+q+1)^3, 1/96*q*(q+1)*(q^2-q-4)*(q-2)^2],
[q^3*(q+1)*(q^4+q^3+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)^2*(q^2+q+1)^2, 1/8*q^2*(q-1)*(q-2)],
[q^7*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^6*(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, 1/4*q*(q-2)],
[q^2*(q^4+q^3+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^2+q+1)^3, 1/16*q*(q-1)*(q-2)^2],
[(q^4+q^3+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*(q-1)^6, 1/72*(q+1)*(q-2)*(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^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/6*(q+1)*(q-2)],
[q^2*(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)^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+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^3*(q^2+q+1)^3, 1/4*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^2+q+1)^3*(q-1)^4*(q+1)^4, 1/10*q*(q-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)^2*(q^2+1)^2*(q^2+q+1)^3*(q-1)^4, 1/36*(q+1)*(q-2)*(q^4-3*q^2+2*q+2)],
[q*(q^2+1)*(q^4+q^3+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-1)^3*(q^2+q+1)^3, 1/8*q^2*(q-1)*(q-2)*(q+1)],
[q^20*(q^2-q+1)*(q^6+q^3+1)*(q^4-q^2+1)*(q^2+q+1)^2, q-2],
[(q^4+q^3+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)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/36*q^2*(q-1)*(q-2)*(q-3)*(q+1)],
[q^15*(q+1)*(q^2-q+1)*(q^2+1)*(q^2+q+1)*(q^6+q^3+1)*(q^4+1)*(q^4-q^2+1), 1/2*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-q+1)^2*(q^2+1)^2*(q+1)^3, 1/18*q*(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+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q^2+q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^3*(q+1)*(q^2+1)*(q^4+q^3+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+q+1)^3, 1/4*q*(q-1)*(q-2)],
[q^2*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/6*q*(q+1)*(q-2)^2],
[q^6*(q-1)*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*q*(q-2)*(q-3)],
[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-2],
[q*(q+1)*(q^4+q^3+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^2+q+1)^3, 1/16*q*(q-1)*(q-2)*(q^2-3*q-2)],
[q^4*(q-1)*(q+1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/2*q*(q-2)*(q-3)],
[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-1],
[q^3*(q-1)*(q^4+q^3+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^2+q+1)^3, 1/12*q*(q-2)*(q-3)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+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^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^3*(q^2+q+1)^3, 1/8*q^2*(q-1)*(q-2)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^3*(q^2+q+1)^3, 1/32*q^2*(q-1)*(q-2)*(q^2-q-4)],
[q^2*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/16*q*(q-1)*(q-2)*(q-4)],
[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-2)*(q-3)],
[q*(q^4+q^3+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)^2*(q^2-q+1)^2*(q+1)^3, 1/18*q*(q+1)*(q-3)*(q-2)^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-2)*(q-4)],
[(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^3, 1/192*q*(q-1)*(q-2)*(q-4)*(q^2-3*q-6)],
[q^3*(q-1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/12*q*(q-2)*(q-3)*(q-4)],
[q^7*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-2)*(q-4)],
[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+1)^2*(q^2-q+1)^2, 1/12*(q-2)*(q-6)],
[q^2*(q-1)*(q+1)*(q^4+q^3+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^2+q+1)^3, 1/8*q*(q-2)*(q-3)*(q-4)],
[q^5*(q+1)*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/2*(q-2)*(q-5)],
[(q^4+q^3+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)^2*(q^2+q+1)^2*(q+1)^4, 1/216*q*(q+1)*(q-2)^2*(q-3)^2],
[q^6*(q^2+1)*(q^4+q^3+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-q+1)^2, 1/8*(q-5)*(q-2)*(q-4)],
[q*(q-1)*(q^4+q^3+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)^2*(q^2+q+1)^3, 1/48*q*(q-5)*(q-2)*(q-3)*(q-4)],
[q^4*(q^4+q^3+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)^2*(q^2-q+1)^2, 1/6*(q-5)*(q-6)*(q-2)],
[q^3*(q+1)*(q^4+q^3+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^2+q+1)^3, 1/12*(q-5)*(q-6)*(q-2)],
[(q-1)*(q^4+q^3+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*(q^2+q+1)^3, 1/1440*q*(q-5)*(q-6)*(q-2)*(q-3)*(q-4)],
[q^3*(q^4+q^3+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)^2*(q^2+q+1)^2*(q+1)^3, 1/72*(q-2)*(q-5)*(q-6)^2],
[q^2*(q^4+q^3+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)^2*(q^2+q+1)^3, 1/48*(q-5)*(q-6)*(q-2)*(q-8)],
[q*(q^4+q^3+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*(q^2+q+1)^3, 1/720*(q-5)*(q-6)*(q-2)*(q-8)*(q-9)],
[(q^4+q^3+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^2+q+1)^3*(q+1)^4, 1/51840*(q-12)*(q-2)*(q-5)*(q-6)*(q-8)*(q-9)]
];