DegreesAndMultiplicitiesF4_2or8mod12 := [
[1, 1],
[1/2*q*Phi1^2*Phi3^2*Phi8, 1],
[1/2*q*Phi4*Phi8*Phi12, 2],
[1/2*q*Phi2^2*Phi6^2*Phi8, 1],
[q^2*Phi3^2*Phi6^2*Phi12, 1],
[Phi1*Phi3*Phi4*Phi6*Phi8*Phi12, q],
[q^3*Phi4^2*Phi8*Phi12, 2],
[Phi2*Phi3*Phi4*Phi6*Phi8*Phi12, q-2],
[Phi1^2*Phi3^2*Phi4^2*Phi8*Phi12, 1],
[1/24*q^4*Phi1^4*Phi6^2*Phi8*Phi12, 1],
[1/24*q^4*Phi2^4*Phi3^2*Phi8*Phi12, 1],
[1/12*q^4*Phi3^2*Phi4^2*Phi6^2*Phi8, 1],
[1/8*q^4*Phi1^4*Phi3^2*Phi8*Phi12, 1],
[1/8*q^4*Phi4^2*Phi6^2*Phi8*Phi12, 2],
[1/8*q^4*Phi2^4*Phi6^2*Phi8*Phi12, 1],
[1/8*q^4*Phi3^2*Phi4^2*Phi8*Phi12, 2],
[1/4*q^4*Phi1^4*Phi3^2*Phi4^2*Phi12, 1],
[1/4*q^4*Phi1^4*Phi2^4*Phi3^2*Phi6^2, 2],
[1/4*q^4*Phi1^2*Phi3^2*Phi4*Phi8*Phi12, 2],
[1/4*q^4*Phi1^2*Phi2^2*Phi3^2*Phi6^2*Phi8, 1],
[1/4*q^4*Phi2^2*Phi4*Phi6^2*Phi8*Phi12, 2],
[1/4*q^4*Phi2^4*Phi4^2*Phi6^2*Phi12, 1],
[1/3*q^4*Phi1^4*Phi2^4*Phi4^2*Phi8, 2],
[1/3*q^4*Phi3^2*Phi6^2*Phi8*Phi12, 1],
[1/2*q*Phi1^3*Phi3^2*Phi4*Phi6*Phi8*Phi12, q],
[1/2*q*Phi1*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q],
[1/2*q*Phi1^2*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi12, q-2],
[1/2*q*Phi1*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, q],
[1/2*q*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q],
[1/2*q*Phi2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-2],
[1/2*q*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi12, q-2],
[1/2*q*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-2],
[Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*q*(q-2)],
[q*Phi1^3*Phi3^2*Phi4^2*Phi8*Phi12, 2],
[Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-2],
[Phi1^2*Phi2^2*Phi3^2*Phi6^2*Phi8*Phi12, 1/4*q^2],
[Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q*(q-2)],
[Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-2],
[Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(q-2)*(q-4)],
[Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/6*(q-2)^2],
[Phi1^2*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 1/3*q*(q+1)],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-2],
[q^2*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi8*Phi12, 2],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/2*q*(q-2)],
[q^9*Phi4^2*Phi8*Phi12, 2],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/2*q*(q-2)],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi12, 1/3*(q+1)*(q-2)],
[q^2*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q-2],
[q*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-2],
[Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/6*(q-2)*(q-6)],
[q^2*Phi1^4*Phi3^2*Phi4^2*Phi8*Phi12, 1],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-2],
[Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*(q-2)^2],
[q^3*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q],
[q^10*Phi3^2*Phi6^2*Phi12, 1],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/2*q*(q-2)],
[q^3*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q-2],
[q*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-2],
[Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*(q-2)*(q-6)],
[1/2*q*Phi1^4*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*q*(q-2)],
[1/2*q*Phi1^4*Phi2^2*Phi3^2*Phi6^2*Phi8*Phi12, 1/4*q^2],
[1/2*q^4*Phi1^3*Phi3^2*Phi4*Phi6*Phi8*Phi12, q],
[1/2*q*Phi1^3*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q*(q-2)],
[1/2*q*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*q*(q-2)],
[1/2*q^4*Phi1*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q],
[1/2*q^13*Phi1^2*Phi3^2*Phi8, 1],
[1/2*q^4*Phi1^2*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi12, q-2],
[1/2*q*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 3/4*q^2-q+1],
[1/2*q^13*Phi4*Phi8*Phi12, 2],
[1/2*q^4*Phi1*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, q],
[1/2*q^13*Phi2^2*Phi6^2*Phi8, 1],
[1/2*q^4*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q],
[1/2*q*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, q*(q-2)],
[1/2*q^4*Phi2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-2],
[1/2*q*Phi1^2*Phi2^4*Phi3^2*Phi6^2*Phi8*Phi12, 1/4*q^2],
[1/2*q*Phi1*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q*(q-2)],
[1/2*q^4*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi12, q-2],
[1/2*q^4*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-2],
[1/2*q*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*(q-2)*(q-4)],
[1/2*q*Phi2^4*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(q-2)*(q-4)],
[q*Phi1^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/6*(q-2)^2],
[Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/24*(q-2)*(q^2-8*q+8)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-2],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/2*(q-2)^2],
[Phi1^3*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q^3],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi8*Phi12, 2],
[q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/2*q*(q-2)],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-2],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/8*q*(q-2)^2],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi12, 1/3*(q+1)*(q-2)],
[q*Phi1^2*Phi2^4*Phi4^2*Phi6^2*Phi8*Phi12, 1/3*q*(q+1)],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/3*(q+1)*(q^2-2*q+2)],
[Phi1^2*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/3*q*(q+1)*(q-2)],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, q*(q-2)],
[Phi1^2*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q^2*(q-2)],
[q*Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/2*q*(q-2)],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/8*q*(q-2)*(q-4)],
[q^3*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-2],
[q^2*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-2],
[q*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/2*(q-2)*(q-6)],
[q*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/6*(q-2)*(q-6)],
[Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/24*(q-6)*(q-2)*(q-8)],
[Phi1^4*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/1152*(q-2)*(q-8)*(q^2-10*q+8)],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/24*(q-2)*(q^2-8*q+8)],
[Phi1^4*Phi2^4*Phi4^2*Phi6^2*Phi8*Phi12, 1/72*q*(q-2)*(q+3)*(q+1)],
[Phi1^4*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/32*q^3*(q-2)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/6*(q-2)^2],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*q*(q-4)*(q-2)^2],
[q^4*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*q*(q-2)],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*(q-2)^2],
[Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/18*(q+1)*(q-2)*(q^2-q+2)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q^3],
[Phi1^3*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/6*q^2*(q-1)*(q+1)],
[q^3*Phi1^2*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 1/3*q*(q+1)],
[q^9*Phi1*Phi3*Phi4*Phi6*Phi8*Phi12, q],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-2],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/8*q*(q-2)^2],
[Phi1^4*Phi2^4*Phi3^2*Phi6^2*Phi8*Phi12, 1/96*q^2*(q-2)*(q+2)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi6^2*Phi12, 1/8*q^4],
[Phi1^3*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*q^3*(q-2)],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi6^2*Phi8*Phi12, 1/4*q^2],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/3*(q+1)*(q^2-2*q+2)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi6^2*Phi8, 1/12*q^2*(q-1)*(q+1)],
[q^24, 1],
[q*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/3*q*(q+1)*(q-2)],
[q^6*Phi1^2*Phi3^2*Phi4^2*Phi8*Phi12, 1],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/2*q*(q-2)],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/64*q*(5*q-4)*(q-2)^2],
[q^4*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q*(q-2)],
[q^3*Phi1*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/2*q*(q-2)],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/2*q*(q-2)],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi12, 1/3*(q+1)*(q-2)],
[Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/6*q*(q-1)*(q-2)*(q+1)],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q^2*(q-2)],
[Phi1^2*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/18*q*(q-2)*(q-3)*(q+1)],
[q^9*Phi2*Phi3*Phi4*Phi6*Phi8*Phi12, q-2],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/8*q*(q-2)*(q-4)],
[q^4*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-2],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi8*Phi12, 1/72*(q+1)*(q-2)*(q^2-q-4)],
[Phi1^2*Phi2^4*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/32*q^2*(q-2)*(q-4)],
[Phi1*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*q*(q-6)*(q-2)*(q-4)],
[q^4*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(q-2)*(q-4)],
[q^3*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/6*(q-2)*(q-6)],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*(q-2)*(q-6)],
[q*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/24*(q-6)*(q-2)*(q-8)],
[Phi2^4*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/1152*(q-12)*(q-2)*(q-6)*(q-8)]
];