DegreesAndMultiplicitiesA5f3_3or5mod6 := [
[1, 1],
[q*(q^4+q^3+q^2+q+1), 1],
[(q+1)*(q^2+q+1)*(q^2-q+1), q-2],
[q^2*(q^2-q+1)*(q^2+q+1)^2, 1],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-2],
[1/2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 2],
[1/2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 2],
[(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 1/2*q-1/2],
[(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*q*(q-1)],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1), 1],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1), 1],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-2],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q-3/2],
[q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, q-2],
[(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*(q-2)*(q-3)],
[q^4*(q^2-q+1)*(q^2+1)*(q+1)^3, 1],
[q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-2],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, q-2],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-2],
[(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), (q-2)*(q-3)],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 1/3*q*(q+1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+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-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)],
[q^6*(q^2-q+1)*(q^4+q^3+q^2+q+1), 1],
[q*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^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^2+1), 1/2*q*(q-1)*(q-2)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1), 1],
[q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), q-2],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), q-2],
[q^3*(q+1)*(q^2-q+1)*(q^2+1)*(q^2+q+1)^2, q-2],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-2],
[q*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), (q-2)*(q-3)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/6*(q-2)*(q-3)],
[q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-2)*(q-3)],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 1/6*(q-2)*(q-3)*(q-4)],
[1/2*q^2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^3, 2],
[1/2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, q-3],
[1/2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, q-1],
[1/2*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, q-1],
[1/2*q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3, 2],
[1/2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, q-3],
[q^2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^3, 1/2*q-1/2],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)*(q^2-3)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^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^2+1), 1/2*q*(q-1)],
[(q+1)*(q^2-q+1)*(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^7*(q^2-q+1)*(q^2+q+1)^2, 1],
[(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*(q-1)*(q^2-2*q-1)],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), q-2],
[q^4*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-2],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-2],
[q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*(q-2)*(q-3)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*(q-2)*(q-3)],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3, 1/2*q-3/2],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, (q-2)*(q-3)],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*(q-3)*(q^2-6*q+7)],
[(q+1)*(q^2-q+1)*(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^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q^2+q+1)^2, 1/8*q*(q-1)*(q-2)*(q+1)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^3, 1/3*q*(q-1)*(q+1)],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^2, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^10*(q^4+q^3+q^2+q+1), 1],
[q^3*(q-1)*(q^2-q+1)*(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^2+q+1)*(q^4+q^3+q^2+q+1), q-2],
[q*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*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^2+1)*(q+1)^2, 1/2*q*(q-1)*(q-2)],
[q^6*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, q-2],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, q-2],
[(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-2],
[q^3*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), (q-2)*(q-3)],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*(q-2)*(q-3)],
[q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-2)*(q-3)],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, (q-2)*(q-3)],
[q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*(q-2)*(q-3)*(q-4)],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3, 1/6*(q-2)*(q-3)*(q-4)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q^2+q+1)^2, 1/24*(q-5)*(q-2)*(q-3)*(q-4)],
[1/2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q-1)^5, 2/3*q*(q+1)],
[1/2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3*(q-1)^4, 2/3*q*(q+1)],
[1/2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/2*(q-1)*(q+1)],
[1/2*q^6*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 2],
[1/2*q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, q-3],
[1/2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q-1)^3, 7/12*q^2-5/3*q+7/4],
[1/2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*(q-1)*(q+1)],
[1/2*q^2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, q-1],
[1/2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q^2+q+1)^2, 1/4*(q-1)*(3*q-5)],
[1/2*q^6*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 2],
[1/2*q^2*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, q-1],
[1/2*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+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^2+1)*(q^2+q+1)^2, q-3],
[1/2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q+1)^3, 1/12*(q-3)*(q-5)],
[(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q-1)^5, 1/6*q*(q-1)*(q+1)*(q^2+q+2)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 1/3*q*(q+1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3*(q-1)^4, 1/18*q*(q-2)*(q+1)*(q^2+2*q+3)],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/8*(q+1)*(q^2+q+1)*(q-1)^2],
[q^6*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 1/2*q-1/2],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)*(q^2-3)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q-1)^3, 1/48*(q-1)*(q-3)*(q^3+2*q^2-7)],
[(q^2-q+1)*(q^2+1)*(q^2+q+1)^2*(q+1)^3*(q-1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q*(q+1)*(q^2-q+1)*(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^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q-1)^3, 1/6*q^2*(q+1)*(q-1)^2],
[q^15, 1],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^2, 1/3*q*(q-1)*(q+1)],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)],
[q^6*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*q*(q-1)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q^2+q+1)^2, 1/8*q*(q-1)*(q-2)*(q+1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/8*(q-1)*(q+1)*(q^3-2*q^2-1)],
[q^2*(q+1)*(q^2-q+1)*(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*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^2, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^10*(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^2+1)*(q-1)^2*(q^2+q+1)^2, 1/16*(q-1)*(q^4-3*q^3+q+5)],
[q^3*(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q*(q-1)*(q-2)],
[q^7*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-2],
[q^6*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q-3/2],
[q^2*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*(q-1)*(q^2-2*q-1)],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^3, 1/18*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^6*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*(q-2)*(q-3)],
[q*(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^4*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), (q-2)*(q-3)],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/6*(q-2)*(q-3)],
[(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+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^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 1/6*(q-2)*(q-3)*(q-4)],
[q^2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*(q-3)*(q^2-6*q+7)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q^2+q+1)^2, 1/24*(q-5)*(q-2)*(q-3)*(q-4)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q+1)^3, 1/720*(q-5)*(q-7)*(q-3)*(q^2-5*q+9)]
];