DegreesAndMultiplicitiesA5f2_3or5mod6 := [
[1, 2],
[q*Phi5, 2],
[Phi2*Phi3*Phi6, q-3],
[q^2*Phi3^2*Phi6, 2],
[Phi3*Phi5*Phi6, 2*q-4],
[Phi1^3*Phi3*Phi5, 1/2*q-1/2],
[Phi1*Phi3*Phi5*Phi6, 1/2*(q-1)^2],
[q^3*Phi5*Phi6, 2],
[q^3*Phi4*Phi5, 2],
[q*Phi3*Phi5*Phi6, 2*q-4],
[Phi2*Phi4*Phi5*Phi6, 1/2*q-3/2],
[q*Phi2^2*Phi3*Phi4*Phi6, q-3],
[Phi2*Phi3*Phi5*Phi6, 1/2*(q-3)^2],
[q^4*Phi2^3*Phi4*Phi6, 2],
[q^2*Phi2*Phi3*Phi5*Phi6, q-3],
[q*Phi2^2*Phi4*Phi5*Phi6, q-3],
[q*Phi3^2*Phi5*Phi6, 2*q-4],
[Phi2*Phi3*Phi4*Phi5*Phi6, (q-3)^2],
[Phi1^4*Phi2^2*Phi4*Phi5, 2/3*q*(q+1)],
[Phi1^2*Phi2^2*Phi4*Phi5*Phi6, 1/3*q*(q-1)*(q+1)],
[Phi1^2*Phi3^2*Phi5*Phi6, q*(q-1)],
[q^6*Phi5*Phi6, 2],
[q*Phi1*Phi3^2*Phi5*Phi6, 1/2*(q-1)^2],
[Phi1*Phi2*Phi3*Phi4*Phi5*Phi6, 1/2*(q-1)^3],
[q^6*Phi4*Phi5, 2],
[q^3*Phi2*Phi4*Phi5*Phi6, q-3],
[q^2*Phi3*Phi4*Phi5*Phi6, 2*q-4],
[q^3*Phi2*Phi3^2*Phi4*Phi6, q-3],
[q^2*Phi3^2*Phi5*Phi6, 2*q-4],
[q*Phi2*Phi3*Phi4*Phi5*Phi6, (q-3)^2],
[Phi3^2*Phi4*Phi5*Phi6, 1/3*(q-2)*(q-3)],
[q*Phi2*Phi3^2*Phi5*Phi6, 1/2*(q-3)^2],
[Phi2^2*Phi3*Phi4*Phi5*Phi6, 1/6*(q-3)*(q^2-6*q+11)],
[q^2*Phi1^3*Phi3*Phi4*Phi5, 1/2*q-1/2],
[Phi1^3*Phi3^2*Phi5*Phi6, 1/4*(q-1)*(q-2)*(q+1)],
[q*Phi1^2*Phi3^2*Phi5*Phi6, q*(q-1)],
[q^2*Phi1*Phi3*Phi4*Phi5*Phi6, 1/2*(q-1)^2],
[Phi1^2*Phi2*Phi3^2*Phi5*Phi6, 1/4*q*(q-1)*(q-3)],
[q^7*Phi3^2*Phi6, 2],
[Phi1*Phi3^2*Phi4*Phi5*Phi6, 1/4*(q-2)*(q-1)^2],
[q^3*Phi3*Phi4*Phi5*Phi6, 2*q-4],
[q^4*Phi2*Phi3*Phi5*Phi6, q-3],
[q^3*Phi3^2*Phi5*Phi6, 2*q-4],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6, 1/2*(q-3)^2],
[q*Phi3^2*Phi4*Phi5*Phi6, (q-2)*(q-3)],
[q^2*Phi2^3*Phi4*Phi5*Phi6, 1/2*q-3/2],
[q*Phi2^2*Phi3*Phi4*Phi5*Phi6, (q-3)^2],
[Phi2*Phi3^2*Phi4*Phi5*Phi6, 1/4*(q-4)*(q-3)^2],
[Phi1^3*Phi2*Phi3^2*Phi5*Phi6, 1/4*(q-1)^2*(q+1)^2],
[q^2*Phi1^2*Phi3^2*Phi5*Phi6, q*(q-1)],
[Phi1^2*Phi3^2*Phi4*Phi5*Phi6, 1/8*(q-1)*(q+1)*(q^2-2*q-1)],
[q*Phi1^2*Phi2^3*Phi4*Phi5*Phi6, 1/3*q*(q-1)*(q+1)],
[Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^10*Phi5, 2],
[q^3*Phi1*Phi3^2*Phi5*Phi6, 1/2*(q-1)^2],
[q^6*Phi3*Phi5*Phi6, 2*q-4],
[q*Phi1*Phi3^2*Phi4*Phi5*Phi6, 1/2*(q-2)*(q-1)^2],
[q*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6, 1/2*(q-1)^3],
[q^6*Phi2^2*Phi3*Phi4*Phi6, q-3],
[q^4*Phi2^2*Phi4*Phi5*Phi6, q-3],
[Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6, 1/4*(q-3)*(q-1)^3],
[q^4*Phi3^2*Phi5*Phi6, 2*q-4],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6, (q-3)^2],
[q^2*Phi3^2*Phi4*Phi5*Phi6, (q-2)*(q-3)],
[q^3*Phi2*Phi3^2*Phi5*Phi6, 1/2*(q-3)^2],
[q^2*Phi2^2*Phi3*Phi4*Phi5*Phi6, (q-3)^2],
[q*Phi2*Phi3^2*Phi4*Phi5*Phi6, 1/2*(q-4)*(q-3)^2],
[q*Phi2^3*Phi3*Phi4*Phi5*Phi6, 1/6*(q-3)*(q^2-6*q+11)],
[Phi2^2*Phi3^2*Phi4*Phi5*Phi6, 1/24*(q-5)*(q-3)*(q^2-6*q+11)],
[Phi1^5*Phi2^2*Phi3*Phi4*Phi5, 1/6*q*(q-1)*(q+1)*(q^2+q+2)],
[q^3*Phi1^4*Phi2^2*Phi4*Phi5, 2/3*q*(q+1)],
[Phi1^4*Phi2^3*Phi4*Phi5*Phi6, 1/18*q*(q-2)*(q+1)*(q^2+2*q+3)],
[Phi1^4*Phi2*Phi3^2*Phi5*Phi6, 1/8*(q-1)*(q^2-q+1)*(q+1)^2],
[q^6*Phi1^3*Phi3*Phi5, 1/2*q-1/2],
[q^2*Phi1^3*Phi3^2*Phi5*Phi6, 1/4*(q-1)*(q-2)*(q+1)],
[Phi1^3*Phi3^2*Phi4*Phi5*Phi6, 1/48*(q-1)*(q+1)*(q^3-2*q^2-4*q+9)],
[Phi1^4*Phi2^3*Phi3^2*Phi4*Phi6, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q*Phi1^3*Phi2*Phi3^2*Phi5*Phi6, 1/4*(q-1)^2*(q+1)^2],
[Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6, 1/6*q^2*(q+1)*(q-1)^2],
[q^15, 2],
[q^3*Phi1^2*Phi2^2*Phi4*Phi5*Phi6, 1/3*q*(q-1)*(q+1)],
[q^3*Phi1^2*Phi3^2*Phi5*Phi6, q*(q-1)],
[q^6*Phi1*Phi3*Phi5*Phi6, 1/2*(q-1)^2],
[q*Phi1^2*Phi3^2*Phi4*Phi5*Phi6, 1/8*(q-1)*(q+1)*(q^2-2*q-1)],
[Phi1^3*Phi2^2*Phi3^2*Phi5*Phi6, 1/8*(q+1)*(q^2-q-1)*(q-1)^2],
[q^2*Phi1^2*Phi2*Phi3^2*Phi5*Phi6, 1/4*q*(q-1)*(q-3)],
[q*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^10*Phi2*Phi3*Phi6, q-3],
[Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6, 1/16*(q-1)*(q+1)*(q^3-4*q^2+4*q+1)],
[q^3*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6, 1/2*(q-1)^3],
[q^7*Phi3*Phi5*Phi6, 2*q-4],
[q^6*Phi2*Phi4*Phi5*Phi6, 1/2*q-3/2],
[q^2*Phi1*Phi3^2*Phi4*Phi5*Phi6, 1/4*(q-2)*(q-1)^2],
[Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6, 1/18*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^6*Phi2*Phi3*Phi5*Phi6, 1/2*(q-3)^2],
[q*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6, 1/4*(q-3)*(q-1)^3],
[q^4*Phi2*Phi3*Phi4*Phi5*Phi6, (q-3)^2],
[q^3*Phi3^2*Phi4*Phi5*Phi6, 1/3*(q-2)*(q-3)],
[Phi1*Phi2^2*Phi3^2*Phi4*Phi5*Phi6, 1/48*(q-3)*(q^2-5*q+3)*(q-1)^2],
[q^3*Phi2^2*Phi3*Phi4*Phi5*Phi6, 1/6*(q-3)*(q^2-6*q+11)],
[q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6, 1/4*(q-4)*(q-3)^2],
[q*Phi2^2*Phi3^2*Phi4*Phi5*Phi6, 1/24*(q-5)*(q-3)*(q^2-6*q+11)],
[Phi2^3*Phi3^2*Phi4*Phi5*Phi6, 1/720*(q-5)*(q-7)*(q-3)*(q^2-5*q+9)]
];