DegreesAndMultiplicitiesE6sc_1mod6 := [
[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],
[(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],
[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-1/2],
[q*(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],
[(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-3/2],
[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-2],
[1/3*(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, 6],
[1/3*(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, 3],
[(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+2)*(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+1)*(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^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-1)*(q-4)],
[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*(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],
[(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-3],
[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-1/2],
[(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-1)^2],
[q^6*(q^6+q^3+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1],
[q^2*(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],
[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-3],
[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+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-3/2],
[(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-3)^2],
[1/3*(q^2+q+1)*(q^2-q+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, 6],
[1/3*(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, 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)^3, 1/2*q-1/2],
[q^2*(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],
[(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-3/2],
[1/6*q^7*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+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*(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, 6],
[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],
[1/3*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^2+1)^2*(q^2+q+1)^2, 3],
[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-q^2+1)*(q^4+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+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^2+q+1)^2*(q-1)^3, 1/2*q-1/2],
[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)^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-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^2+q+1)^2, 1/2*(q-1)*(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)^2, 1],
[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, 1],
[q^3*(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],
[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, 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^2-q+1)^2, q-3],
[(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+1)^2*(q^2-q+1)^2, 1/2*q-5/2],
[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-3/2],
[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-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, 1/2*(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^2+1)^2*(q^2+q+1)^2, 1/6*(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-1)^4, 1/12*(q-1)*(q-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^2+q+1)^2*(q-1)^3, 1/2*q-1/2],
[(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, 1/6*(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)^2, 1/8*(q-1)^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-1/2],
[(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^2+q+1)^2*(q-1)^3, 1/4*(q-1)^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-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-1)*(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^2+1)^2*(q^2-q+1)^2, 1/4*(q-1)^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, 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+1)^2*(q^2-q+1)^2, 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-1)^4, 1/6*q*(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+1)*(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-1)^2*(q^2+q+1)^3, 1/2*q-1/2],
[(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, 1/4*(q-1)*(q^2-2*q-1)],
[q^10*(q^6+q^3+1)*(q^4-q^2+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-1)^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-3)*(q-1)^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-3/2],
[q^4*(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],
[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)^2, 1/2*q-3/2],
[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^2+1)^2*(q^2-q+1)^2, 1/2*q-5/2],
[q^4*(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-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-3/2],
[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-3],
[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-3)*(q-4)],
[(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)^2, 1/12*q^2-2/3*q+19/12],
[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-3)^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, 1/8*(q-5)*(q-3)^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)^3*(q^2+q+1)^3, 1/2*(q-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+q+1)^3, 1/2*q-1/2],
[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^4*(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+1)^3, 1],
[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+1)^3, 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)^2, q-3],
[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+1)^2*(q^2-q+1)^2, q-5],
[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^2+q+1)^3, 1/2*q-3/2],
[(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^2-4*q+17/2],
[1/3*(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)^4, 6],
[1/3*(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)^3, 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)^4, 1/3*(q+2)*(q-1)],
[(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*(q-1)^4, 1/4*(q-1)*(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-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 1/3*(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)^2*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/3*(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^2+q+1)^3, 1/4*(q-1)^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, 1],
[q^4*(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)^2*(q+1)^3, 1/2*q-1/2],
[q^13*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 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, 1/2*q-1/2],
[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-1)^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+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/2*(q-1)^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, 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-1)*(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-3)*(q-1)^2],
[q^6*(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],
[q^3*(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+1)^2*(q^2-q+1)^2, q-5],
[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, 1/2*q-3/2],
[(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-q+1)^2*(q^2+q+1)^3, 1/8*(q-1)*(q-3)],
[q^5*(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+1)^3, 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^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-3],
[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)^2, q-5],
[q^3*(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)^3, q-3],
[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-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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q^2-8*q+17],
[(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)^3, 1/24*(q-1)*(q-7)],
[q^4*(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+1)^4, 1/2*q-3/2],
[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+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-3)^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+1)^2*(q^2-q+1)^2*(q+1)^3, 1/6*q^2-4/3*q+19/6],
[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-3)*(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^3-13/6*q^2+55/6*q-79/6],
[1/6*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, 6],
[1/6*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, 6],
[1/6*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, 3],
[1/6*q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 6],
[1/6*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, 6],
[1/6*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, 3],
[1/6*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^2+q+1)^3, 3],
[1/6*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, 3],
[1/3*(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, 3*q-3],
[1/3*q*(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)^4, 6],
[1/3*q^3*(q^4+q^3+q^2+q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 6],
[1/3*(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, 3*q-15],
[1/3*(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)^3, 3/2*q-3/2],
[1/3*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)^3, 3],
[1/3*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+1)^2*(q^2-q+1)^2*(q+1)^4, 3],
[1/3*(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)^3, 3/2*q-15/2],
[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+2)*(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+2)*(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+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+q+1)^3*(q-1)^4, 1/6*(q-1)*(q-4)],
[1/2*q^3*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/3*(q+2)*(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^4+1)*(q^6+q^3+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+2)*(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-q^2+1)*(q^4+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-1)*(q-4)],
[1/2*q^7*(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-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+1)^2*(q^2+q+1)^3, 1/6*(q-1)*(q-4)],
[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-1)*(q-4)],
[(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)^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+1)^3*(q-1)^4, 1/18*(q+2)*(q-1)*(q^2+q-1)],
[q*(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)^4, 1/3*(q+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^2+q+1)^3*(q-1)^4, 1/2*(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+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+1)^2*(q^2-q+1)^2, 1/3*(q+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+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*q-1/2],
[(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*(q-1)*(q-3)],
[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-1/2],
[(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)^5, 1/6*q*(q-1)*(q^2+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*(q+1)^3*(q-1)^4, 1/6*(q-1)*(q-3)*(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^2+q+1)^3*(q-1)^4, 1/4*(q-1)*(q+1)*(q^2-q+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+1)*(q-1)^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)^3*(q^2+q+1)^3, 1/2*(q-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-q+1)^2*(q^2+q+1)^3, q-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+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/3*(q-1)*(q^2-2)],
[(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+1)^2*(q-1)^3*(q^2+q+1)^3, 1/12*(q^2-q-3)*(q-1)^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*(3*q-5)*(q-1)*(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-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/8*(q-1)*(q^3-2*q^2-1)],
[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-1/2],
[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+1)^2*(q^2-q+1)^2, 1/2*(q-1)^2],
[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, 1],
[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^2+1)^2*(q^2-q+1)^2, 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+1)^2*(q^2-q+1)^2*(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-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 1/18*(q^2-2*q-4)*(q-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-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/4*q*(q-1)*(q-3)],
[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-3/2],
[q^3*(q-1)*(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)^3, 1/2*(q-1)^2],
[q^2*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*(q-1)*(q-2)],
[q^7*(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],
[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-3)*(q-1)^2],
[q^7*(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],
[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^2+1)^2*(q^2-q+1)^2, 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)^3, 1/12*(q-4)*(q-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, 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-3)*(q-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, 1/12*(q-1)*(q-3)*(q^2-5*q+3)],
[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-3/2],
[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)^2, q-3],
[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+1)^2*(q^2-q+1)^2, 1/6*q^2-4/3*q+19/6],
[q^4*(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)^3, q-3],
[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^2+q+1)^3, 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+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q^2-15/2*q+29/2],
[q*(q^4+q^3+q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/6*q^2-4/3*q+13/6],
[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+1)^2*(q^2-q+1)^2*(q+1)^3, 1/2*q-5/2],
[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-3)^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-3)*(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-4)*(q^2-6*q+7)],
[(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)^3, 1/12*(q-7)*(q-3)*(q-4)],
[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-3)^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, 1/72*(q-7)*(q^3-12*q^2+46*q-59)],
[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+1)^2*(q^2+q+1)^2*(q-1)^4, 1/12*(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^2+q+1)^3*(q-1)^4, 1/48*(q-1)*(q-3)*(q^2-3*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^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*q-1/2],
[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^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/4*q*(q-1)*(q-3)],
[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-1)^3],
[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)^3*(q^2+q+1)^3, 1/2*(q-1)^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+1)^2*(q^2+q+1)^2*(q-1)^3, 1/4*(q-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-1)^3],
[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^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)^3, 1/2*(q-1)^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-1/2],
[(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, 1/16*q*(q-3)*(q-1)^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-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^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/6*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+1)^2*(q^2+q+1)^3*(q-1)^4, 1/6*q*(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+1)^4, 1/6*(q+2)*(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)^3*(q^2+q+1)^3, 1/4*(q+1)*(q-1)^2],
[q^6*(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, 1/2*q-1/2],
[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+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-1)*(q^2-2)],
[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-1)^2*(q^2+q+1)^3, 1/2*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-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/4*q*(q-1)*(q-3)],
[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-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-1)*(q^3-2*q^2-2*q+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-1)^2],
[q^10*(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],
[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)^3, 1/4*(q-1)*(q^2-2*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-1)*(q-2)],
[q^8*(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],
[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-3)*(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^2+q+1)^2*(q^2-q+1)^2, 1/2*q-3/2],
[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)^3, 1/4*(q-1)*(q-2)*(q-3)],
[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, 1/2*q-3/2],
[(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+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-q+1)^2*(q^2+q+1)^3, 1/4*(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-1)^2*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/16*(q-1)*(q-3)*(q^2-3*q-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-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+1)^2*(q^2-q+1)^2*(q+1)^3, 1/4*(q-1)^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+1)^2*(q^2-q+1)^2*(q+1)^3, 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-3/2],
[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-3)*(q-1)^2],
[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-3],
[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-3],
[q^4*(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)^2, q-5],
[(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)^3, 1/8*(q-3)*(q-4)*(q-1)^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^2+q+1)^3, q-3],
[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, q^2-15/2*q+29/2],
[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)^3, 1/4*(q-3)*(q-5)],
[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-3)^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+1)^2*(q^2-q+1)^2*(q+1)^3, 1/2*q-5/2],
[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-3)*(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^3-3/8*q^2-25/8*q+91/8],
[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)^3, 1/4*q^3-7/2*q^2+63/4*q-47/2],
[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+1)^2*(q^2-q+1)^2*(q+1)^4, 1/12*q^2-2/3*q+19/12],
[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^3-13/6*q^2+55/6*q-79/6],
[(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^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/48*(q-7)*(q^3-14*q^2+61*q-88)],
[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+1)^2*(q^2+1)^2*(q-1)^4, 6],
[1/3*(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)^5, 3*q-3],
[1/3*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)^4, 6],
[1/3*(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^2-q+1)^2*(q+1)^3*(q-1)^4, 2*q-8],
[1/3*(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-1)^3*(q^2+q+1)^3, 3/2*q-3/2],
[1/3*(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*(q+1)^3, 2*q-2],
[1/3*q^7*(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)^2, 3],
[1/3*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+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 3],
[1/3*(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+1)^3*(q^2+q+1)^3, 1/2*q-7/2],
[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)^6, 1/6*q*(q-1)*(q^2+q+1)],
[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+2)*(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+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/18*(q+2)*(q-1)*(q^2+q-1)],
[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-1)*(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+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-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)^4, 1/3*(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+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^4, 1/18*(q+2)*(q-1)*(q^3-q^2-7)],
[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)^3*(q-1)^4, 1/2*(q-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^2+q+1)^3*(q-1)^4, 1/8*(q+1)*(q^2-q+1)*(q-1)^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-1)^3, 1/2*q-1/2],
[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^2+1)^2*(q^2+q+1)^3*(q-1)^4, 1/12*(q^2-q-3)*(q-1)^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*(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^2+1)^2*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/48*(q^3-4*q^2-2*q+11)*(q-1)^2],
[(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+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+1)*(q-1)^2],
[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+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+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+2)*(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*(q+1)*(q-1)^2],
[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-1)^2*(q^2+q+1)^2, 1/2*q*(q-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-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q-1/2],
[(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*(q-1)^3, 1/6*q^2*(q-1)*(q-2)*(q+1)],
[q^10*(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-1/2],
[q^15*(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],
[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+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/3*(q-1)*(q^2-2)],
[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*(3*q-5)*(q-1)*(q+1)],
[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-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^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/8*q*(q-3)*(q-1)^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+1)*(q^2-q-1)*(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-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 1/3*(q-1)*(q^2-2)],
[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-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+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/24*(q-1)*(11*q^3-22*q^2-16*q+13)],
[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-1)^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^11*(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],
[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-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+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/2*(q-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+1)^2*(q^2+1)^2*(q^2-q+1)^2, 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-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/16*(q-1)*(q-3)*(q^3-2*q^2-2*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)^3, 1/2*(q-1)*(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-3)*(q-1)^2],
[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^2-q+1)^2, q-3],
[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^2+1)^2*(q^2-q+1)^2, 1/2*q-5/2],
[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)^3, 1/4*(q-1)*(q-2)*(q-3)],
[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+1)^2*(q^2-q+1)^2*(q+1)^4, 1/18*(q^2-2*q-4)*(q-1)^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*(q+1)^3, 1/18*(q-2)*(q^2-2*q-4)*(q-1)^2],
[q^10*(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-3/2],
[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^2-q+1)^2*(q^2+q+1)^3, 1/4*(q-3)*(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+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/2*(q-3)*(q-1)^2],
[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-3],
[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-3)*(q-4)],
[q^5*(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)^2, q-5],
[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)^3, 1/4*(q-3)*(q-4)*(q-1)^2],
[q^7*(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)^2, 1/6*(q-1)*(q-4)],
[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)*(q^2-q+1)^2*(q^2+q+1)^3, 1/2*q-3/2],
[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^2-8*q+17],
[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)^3, 1/6*q^2-4/3*q+13/6],
[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-1)*(q-3)*(q^2-5*q+3)],
[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-3)^2],
[q^4*(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)^2*(q+1)^3, 1/6*q^2-4/3*q+19/6],
[(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-5)*(q-1)*(q-3)*(q^2-5*q+3)],
[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-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+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/6*(q-4)*(q^2-6*q+7)],
[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)^3, 1/4*q^3-7/2*q^2+63/4*q-47/2],
[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-3)^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, 1/6*q^3-13/6*q^2+55/6*q-79/6],
[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-7)*(q^3-14*q^2+61*q-88)],
[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-7)*(q^3-12*q^2+46*q-59)],
[(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+1)^3*(q^2+q+1)^3, 1/720*(q-5)*(q-7)*(q^3-18*q^2+94*q-137)],
[1/3*(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+1)^4*(q-1)^6, 2/3*(q+2)*(q-1)],
[1/3*(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, 1/2*(q-1)*(q-3)],
[1/3*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, 3*q-3],
[1/3*(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^2-q+1)^2*(q+1)^3*(q-1)^5, 1/2*(q-1)*(2*q-3)],
[1/3*(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)^3*(q-1)^4, 1/4*(q-1)*(q-3)],
[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+q+1)^2*(q^2+1)^2*(q-1)^5, 3*q-3],
[1/3*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, 6],
[1/3*q^4*(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)^4, 6],
[1/3*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)^2*(q+1)^3*(q-1)^4, 2*q-8],
[1/3*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-1)^3*(q^2+q+1)^3, 3/2*q-3/2],
[1/3*(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^2+q+1)^2*(q+1)^3*(q-1)^5, 3/2*(q-1)^2],
[1/3*q^9*(q^2+q+1)*(q^2-q+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, 6],
[1/3*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, 3*q-15],
[1/3*(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^2-q+1)^2*(q-1)^4*(q+1)^4, q^2-5/2*q+15/2],
[1/3*(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-1)^3*(q^2+q+1)^3, 3/4*(q-1)^2],
[1/3*q^9*(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, 3],
[1/3*(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+1)^4*(q-1)^6, q*(q-1)],
[1/3*(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+1)^2*(q^2+q+1)^3*(q-1)^4, 1/2*q*(q-1)],
[1/3*(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*(q+1)^3, q*(q-1)],
[1/3*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)^3, 3/2*q-3/2],
[1/3*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, 3],
[1/3*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, 2*q-2],
[1/3*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)^3, 3],
[1/3*(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*(q+1)^4, 1/2*(q-1)*(q-2)],
[1/3*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)^3, 3/2*q-15/2],
[1/3*(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+1)^3*(q^2+q+1)^3, 1/4*(q-1)*(q-3)],
[1/3*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+1)^3*(q^2+q+1)^3, 1/2*q-7/2],
[1/3*(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)^3*(q+1)^4, 1/12*(q-7)^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+1)^4*(q-1)^6, 1/648*(q+2)*(q-1)*(q^2+q-11)*(q^2+q+4)],
[(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^4+q^3+2*q^2-q-6)*(q-1)^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)^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+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^5, 1/36*(q+2)*(q^3+q^2+2*q-3)*(q-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+1)^3*(q-1)^4, 1/18*(q+2)*(q-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)^3*(q-1)^5, 1/96*(q+1)*(q^3-3*q^2+3*q-3)*(q-1)^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-1)^4, 1/12*(q-1)*(q-3)],
[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-1)*(q-3)*(q^2-3*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)^3*(q-1)^4, 1/1152*(q-3)*(q^3-5*q^2-7*q+23)*(q-1)^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-1)^5, 1/6*(q-1)*(q^4+q^3+2*q^2+q-2)],
[(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+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+2)*(q-1)],
[q^4*(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)^4, 1/3*(q+2)*(q-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^2+1)^2*(q^2-q+1)^2*(q+1)^3*(q-1)^4, 1/18*(q+2)*(q-1)*(q^3-q^2-7)],
[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+1)*(q^2-q+1)*(q-1)^2],
[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-1/2],
[(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*(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-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+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+1)^2*(q^2-q+1)^2, 1/6*(q+2)*(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*(q-1)*(q-3)],
[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-1)^3],
[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-1)^3*(q^2+q+1)^3, 1/48*(q^3-4*q^2-2*q+11)*(q-1)^2],
[(q^4+1)*(q^4-q^2+1)*(q^4+q^3+q^2+q+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3*(q+1)^4*(q-1)^6, 1/9*(q-1)*(q^3+2)*(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*(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^2+1)^2*(q^2+q+1)^2*(q+1)^3*(q-1)^5, 1/12*(q-1)*(q^5-q^3-3*q^2-5*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^2+1)^2*(q+1)^3*(q-1)^4, 1/6*(q-1)*(q-3)*(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+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/108*(q+2)*(q-1)*(q^4-4*q^3+3*q^2-13*q+31)],
[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-1)*(q+1)*(q^2-q+1)],
[(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+1)^3*(q^2+q+1)^3*(q-1)^5, 1/8*(q^2+1)*(q-1)^2*(q+1)^2],
[q^4*(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*(q-1)^4, 1/4*(q-1)*(q+1)],
[q*(q^4+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q^2+1)^2*(q^2-q+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-1)*(q^3-3*q^2+3*q-3)*(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*(q-1)^3, 1/4*(q-1)^2],
[q^5*(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, 1/2*(q-1)^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+1)*(q-1)^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, 1/6*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-1)^2],
[q^16*(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],
[q^4*(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+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/3*(q-1)*(q^2-2)],
[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+1)^2*(q-1)^3*(q^2+q+1)^3, 1/12*(q^2-q-3)*(q-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^2+1)^2*(q^2-q+1)^2*(q-1)^3*(q^2+q+1)^3, 1/96*(q^3-q^2-7*q-1)*(q-1)^3],
[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)^3, 1/4*(q-1)^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-1)*(q^3-2*q^2-1)],
[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-1)*(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+1)^2*(q^2-q+1)^2, 1/4*(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^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/16*q*(q-3)*(q-1)^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+1)^4*(q-1)^6, 1/72*q*(q+2)*(q-1)*(q^3-2*q^2+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)^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*(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)^2*(q^2+q+1)^3*(q-1)^4, 1/6*q*(q-1)*(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+1)*(q-1)^2],
[(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)^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+1)*(q^4-q^2+1)*(q^6+q^3+1)*(q+1)^2*(q^2+1)^2*(q^2+q+1)^3*(q-1)^4, 1/36*q*(q-2)*(q+2)*(q+1)*(q-1)^2],
[q^8*(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, 1/2*q-1/2],
[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+1)*(q^2-q-1)*(q-1)^2],
[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*(q^2-2*q-4)*(q-1)^3],
[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-3/2],
[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+1)^2*(q^2-q+1)^2*(q+1)^3, 1/18*(q^2-2*q-4)*(q-1)^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-1)*(q^2-2*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-1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/4*q*(q-1)*(q-3)],
[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-1)*(q^3-2*q^2-2*q+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-3)*(q-1)^2],
[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-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)^3, 1/16*(q-1)*(q-3)*(q^3-2*q^2-2*q-1)],
[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-3)*(q-1)^2],
[q^8*(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-3/2],
[q^7*(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+1)^2*(q^2-q+1)^2, 1/2*q-5/2],
[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)^3, 1/12*(q-4)*(q-1)^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*(q-1)^4*(q+1)^4, 1/96*(q+1)*(q^2-3)*(q-1)^3],
[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+1)*(q-2)*(q-1)^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+1)*(q^3-3*q^2-q+5)*(q-1)^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+q+1)^3, 1/8*(q-1)*(q-3)],
[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-1)*(q-3)*(q^2-3*q-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-1)*(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*(q+1)^3, 1/18*(q-2)*(q^2-2*q-4)*(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-3)^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)^3, 1/192*(q-1)*(q+1)*(q^2-4*q-3)*(q-3)^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-1)*(q-3)*(q^2-5*q+3)],
[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-3)*(q-4)],
[q^6*(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)^2, 1/12*q^2-2/3*q+19/12],
[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)^3, 1/8*(q-3)*(q-4)*(q-1)^2],
[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^2-4*q+17/2],
[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)^3, 1/24*(q-1)*(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^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/216*(q-4)*(q^3-3*q^2+8)*(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^2-q+1)^2, 1/8*(q-5)*(q-3)^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)^3, 1/48*(q-5)*(q-1)*(q-3)*(q^2-5*q+3)],
[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^3-13/6*q^2+55/6*q-79/6],
[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^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^3, 1/12*(q-7)*(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+1)^3*(q^2+q+1)^3, 1/1440*(q-1)*(q-3)*(q-7)*(q^3-9*q^2+25*q-5)],
[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-7)*(q^3-12*q^2+46*q-59)],
[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-7)*(q^3-14*q^2+61*q-88)],
[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+1)^3*(q^2+q+1)^3, 1/720*(q-5)*(q-7)*(q^3-18*q^2+94*q-137)],
[(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)^3*(q+1)^4, 1/51840*(q-1)*(q-13)*(q^2-14*q+55)*(q-7)^2]
];