DegreesAndMultiplicitiesA6ad_1mod7 := [
[1, 7],
[q*Phi2*Phi3*Phi6, 7],
[Phi7, q-8],
[q^2*Phi4*Phi7, 7],
[Phi3*Phi6*Phi7, q-8],
[Phi1*Phi3*Phi6*Phi7, 1/2*q*(q-1)],
[q^3*Phi3*Phi5*Phi6, 7],
[q*Phi3*Phi6*Phi7, q-8],
[q*Phi5*Phi7, q-8],
[Phi2*Phi3*Phi6*Phi7, 1/2*q^2-5/2*q+9],
[q^3*Phi2*Phi6*Phi7, 7],
[Phi5*Phi6*Phi7, q-8],
[q^4*Phi5*Phi7, 7],
[q*Phi2*Phi5*Phi6*Phi7, q-8],
[q^2*Phi3^2*Phi6*Phi7, q-8],
[q*Phi2*Phi3*Phi4*Phi6*Phi7, q-8],
[Phi3*Phi5*Phi6*Phi7, q^2-5*q+18],
[Phi1^3*Phi3*Phi5*Phi7, 1/2*q*(q-1)],
[Phi1^2*Phi2*Phi5*Phi6*Phi7, 1/3*q*(q-1)*(q+1)],
[q*Phi1*Phi2*Phi3*Phi4*Phi6*Phi7, 1/2*q*(q-1)],
[Phi1*Phi3*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q^5*Phi3*Phi6*Phi7, 7],
[q^6*Phi2*Phi4*Phi5*Phi6, 7],
[q^3*Phi5*Phi6*Phi7, 2*q-16],
[q^3*Phi4*Phi5*Phi7, q-8],
[q^2*Phi2*Phi3*Phi4*Phi6*Phi7, q-8],
[q*Phi3*Phi5*Phi6*Phi7, q^2-4*q+10],
[Phi2*Phi4*Phi5*Phi6*Phi7, 1/2*q^2-5/2*q+9],
[q*Phi2^2*Phi3*Phi4*Phi6*Phi7, 1/2*q^2-5/2*q+9],
[Phi2*Phi3*Phi5*Phi6*Phi7, 1/6*q^3-3/2*q^2+13/3*q-10],
[Phi1^2*Phi3*Phi5*Phi6*Phi7, 1/2*q*(q-1)],
[q^6*Phi3*Phi6*Phi7, 7],
[q^2*Phi4*Phi5*Phi6*Phi7, q-8],
[q^2*Phi3*Phi5*Phi6*Phi7, q-8],
[Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q^2-5/2*q+9],
[q^2*Phi1*Phi3*Phi5*Phi6*Phi7, 1/2*q*(q-1)],
[Phi1*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q^7*Phi5*Phi7, 7],
[q^3*Phi3*Phi5*Phi6*Phi7, 2*q-16],
[q^3*Phi3^2*Phi4*Phi6*Phi7, q-8],
[q*Phi3*Phi4*Phi5*Phi6*Phi7, q^2-5*q+18],
[q^4*Phi2^3*Phi4*Phi6*Phi7, q-8],
[q^2*Phi2*Phi3*Phi5*Phi6*Phi7, 1/2*(q-1)*(q-2)],
[q*Phi2^2*Phi4*Phi5*Phi6*Phi7, q^2-5*q+18],
[q*Phi3^2*Phi5*Phi6*Phi7, q^2-5*q+18],
[Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q^3-9/2*q^2+13*q-30],
[Phi1^4*Phi2^2*Phi4*Phi5*Phi7, 1/3*q*(q-1)*(q+1)],
[Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7, 1/4*q^2*(q-1)*(q+1)],
[q^2*Phi1^2*Phi3*Phi5*Phi6*Phi7, 1/2*q*(q-1)],
[Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/8*q*(q-1)*(q-2)*(q+1)],
[q*Phi1^2*Phi2*Phi3*Phi5*Phi6*Phi7, 1/6*q*(2*q+5)*(q-1)],
[Phi1^2*Phi2^2*Phi4*Phi5*Phi6*Phi7, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^9*Phi2*Phi6*Phi7, 7],
[Phi1^2*Phi3^2*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q^10*Phi3*Phi5*Phi6, 7],
[q^6*Phi5*Phi6*Phi7, 2*q-16],
[q^3*Phi1*Phi3^2*Phi4*Phi6*Phi7, 1/2*q*(q-1)],
[q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q*Phi1*Phi3^2*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^6*Phi4*Phi5*Phi7, q-8],
[q^4*Phi3*Phi5*Phi6*Phi7, 2*q-16],
[q^3*Phi2*Phi4*Phi5*Phi6*Phi7, q^2-4*q+10],
[q^4*Phi3^2*Phi4*Phi6*Phi7, q-8],
[q^2*Phi3*Phi4*Phi5*Phi6*Phi7, 3/2*q^2-15/2*q+27],
[q^3*Phi2*Phi3^2*Phi4*Phi6*Phi7, 1/2*q^2-5/2*q+9],
[q^2*Phi3^2*Phi5*Phi6*Phi7, q^2-5*q+18],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q^3-4*q^2+21/2*q-21],
[Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/6*q^3-3/2*q^2+13/3*q-10],
[q*Phi2*Phi3^2*Phi5*Phi6*Phi7, 1/6*q^3-3/2*q^2+13/3*q-10],
[Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/24*q^4-7/12*q^3+71/24*q^2-77/12*q+11],
[Phi1^4*Phi2*Phi3*Phi5*Phi6*Phi7, 1/6*q^2*(q-1)*(q+1)],
[q^2*Phi1^3*Phi3*Phi4*Phi5*Phi7, 1/2*q*(q-1)],
[Phi1^3*Phi3^2*Phi5*Phi6*Phi7, 1/4*q*(q-1)*(q-2)*(q+1)],
[q^3*Phi1^2*Phi3*Phi5*Phi6*Phi7, 1/2*q*(q-1)],
[q^2*Phi1^2*Phi2*Phi4*Phi5*Phi6*Phi7, 1/3*q*(q-1)*(q+1)],
[q*Phi1^2*Phi3^2*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^11*Phi4*Phi7, 7],
[q^4*Phi1*Phi3*Phi5*Phi6*Phi7, 1/2*q*(q-1)],
[q^2*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q^5*Phi4*Phi5*Phi6*Phi7, q-8],
[Phi1^2*Phi2*Phi3^2*Phi5*Phi6*Phi7, 1/12*q*(q-1)*(q-2)*(q-3)],
[q^7*Phi3^2*Phi6*Phi7, q-8],
[q*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q^6*Phi2*Phi3*Phi4*Phi6*Phi7, q-8],
[q^5*Phi3*Phi5*Phi6*Phi7, q-8],
[Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^3*Phi3*Phi4*Phi5*Phi6*Phi7, 3/2*q^2-15/2*q+27],
[q^4*Phi2*Phi3*Phi5*Phi6*Phi7, 1/2*(q-1)*(q-2)],
[q^3*Phi3^2*Phi5*Phi6*Phi7, q^2-5*q+18],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/6*q^3-1/2*q^2-2/3*q+8],
[q*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/2*q^3-9/2*q^2+13*q-30],
[q^2*Phi2^3*Phi4*Phi5*Phi6*Phi7, 1/2*q^2-5/2*q+9],
[q*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q^3-9/2*q^2+13*q-30],
[Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/12*q^4-7/6*q^3+71/12*q^2-77/6*q+22],
[Phi1^4*Phi2^2*Phi3^2*Phi4*Phi6*Phi7, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/6*q^2*(q+1)*(q-1)^2],
[q*Phi1^3*Phi2^2*Phi3*Phi5*Phi6*Phi7, 1/4*q^2*(q-1)*(q+1)],
[Phi1^3*Phi2*Phi3^2*Phi5*Phi6*Phi7, 1/4*q^2*(q-1)*(q-2)*(q+1)],
[q^3*Phi1^2*Phi2*Phi3*Phi5*Phi6*Phi7, 1/6*q*(2*q+5)*(q-1)],
[q^15*Phi2*Phi3*Phi6, 7],
[q^2*Phi1^2*Phi3^2*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 11/24*q*(q-1)*(q-2)*(q+1)],
[q^6*Phi1*Phi2*Phi3*Phi4*Phi6*Phi7, 1/2*q*(q-1)],
[q^10*Phi3*Phi6*Phi7, q-8],
[Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/8*q*(q-1)*(q+1)*(q-2)^2],
[q^3*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q*Phi1^2*Phi2^3*Phi4*Phi5*Phi6*Phi7, 1/3*q*(q-1)*(q-2)*(q+1)],
[Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^10*Phi5*Phi7, q-8],
[q^7*Phi2*Phi5*Phi6*Phi7, q-8],
[q^3*Phi1*Phi3^2*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q^2*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q^7*Phi2*Phi3*Phi4*Phi6*Phi7, q-8],
[q^6*Phi3*Phi5*Phi6*Phi7, q^2-4*q+10],
[q*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)*(q-3)],
[q^4*Phi3*Phi4*Phi5*Phi6*Phi7, q^2-5*q+18],
[q*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^6*Phi2^2*Phi3*Phi4*Phi6*Phi7, 1/2*q^2-5/2*q+9],
[q^4*Phi2^2*Phi4*Phi5*Phi6*Phi7, q^2-5*q+18],
[Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/12*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q^4*Phi3^2*Phi5*Phi6*Phi7, q^2-5*q+18],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q^3-4*q^2+21/2*q-21],
[q^2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/2*q^3-9/2*q^2+13*q-30],
[q^3*Phi2*Phi3^2*Phi5*Phi6*Phi7, 1/6*q^3-3/2*q^2+13/3*q-10],
[q^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q^3-9/2*q^2+13*q-30],
[q*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/6*q^4-7/3*q^3+71/6*q^2-77/3*q+44],
[q*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi7, 1/24*q^4-7/12*q^3+71/24*q^2-77/12*q+11],
[Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/120*(q-8)*(q^4-12*q^3+59*q^2-108*q+180)],
[Phi1^6*Phi2^3*Phi3^2*Phi4*Phi5*Phi6, 1/7*(q-1)*(q^5+2*q^4+3*q^3+4*q^2+5*q+6)],
[Phi1^5*Phi2^2*Phi3*Phi5*Phi6*Phi7, 1/12*q^3*(q-1)*(q+1)^2],
[Phi1^5*Phi2^2*Phi3^2*Phi4*Phi6*Phi7, 1/10*q^2*(q-1)*(q+1)*(q^2+1)],
[q^2*Phi1^4*Phi2*Phi3*Phi5*Phi6*Phi7, 1/6*q^2*(q-1)*(q+1)],
[Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/24*q^2*(q-1)*(q-2)*(q+1)^2],
[Phi1^5*Phi2^2*Phi3*Phi4*Phi5*Phi7, 1/6*q*(q-1)*(q+1)*(q^3+q-1)],
[q^3*Phi1^4*Phi2^2*Phi4*Phi5*Phi7, 1/3*q*(q-1)*(q+1)],
[Phi1^4*Phi2^3*Phi4*Phi5*Phi6*Phi7, 1/18*q*(q-1)*(q+1)*(q^3-q-3)],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi6*Phi7, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[Phi1^4*Phi2*Phi3^2*Phi5*Phi6*Phi7, 1/8*q^3*(q+1)*(q-1)^2],
[q^6*Phi1^3*Phi3*Phi5*Phi7, 1/2*q*(q-1)],
[q^3*Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7, 1/4*q^2*(q-1)*(q+1)],
[q^21, 7],
[q^6*Phi1^2*Phi2*Phi5*Phi6*Phi7, 1/3*q*(q-1)*(q+1)],
[q^2*Phi1^3*Phi3^2*Phi5*Phi6*Phi7, 1/4*q*(q-1)*(q-2)*(q+1)],
[q*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/6*q^2*(q+1)*(q-1)^2],
[q^5*Phi1^2*Phi3*Phi5*Phi6*Phi7, 1/2*q*(q-1)],
[q^10*Phi1*Phi3*Phi6*Phi7, 1/2*q*(q-1)],
[Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/48*q*(q-1)*(q-2)*(q+1)*(q^2-q-4)],
[q^3*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/8*q*(q-1)*(q-2)*(q+1)],
[Phi1^4*Phi2^3*Phi3^2*Phi4*Phi6*Phi7, 1/10*q*(q-1)*(q-2)*(q+1)*(q^2+1)],
[q*Phi1^3*Phi2*Phi3^2*Phi5*Phi6*Phi7, 1/4*q^2*(q-1)*(q-2)*(q+1)],
[Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/12*q^2*(q+1)*(q-2)*(q-1)^2],
[q^15*Phi7, q-8],
[q^3*Phi1^2*Phi2^2*Phi4*Phi5*Phi6*Phi7, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^3*Phi1^2*Phi3^2*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q^2*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^6*Phi1*Phi3*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[q^11*Phi3*Phi6*Phi7, q-8],
[q^9*Phi5*Phi6*Phi7, q-8],
[q*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/8*q*(q-1)*(q+1)*(q-2)^2],
[q^4*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q*(q-1)*(q-2)],
[Phi1^3*Phi2^2*Phi3^2*Phi5*Phi6*Phi7, 1/24*q^2*(q-1)*(q-2)*(q-3)*(q+1)],
[q^2*Phi1^2*Phi2*Phi3^2*Phi5*Phi6*Phi7, 1/12*q*(q-1)*(q-2)*(q-3)],
[q*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^10*Phi2*Phi3*Phi6*Phi7, 1/2*q^2-5/2*q+9],
[Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/48*q*(q-1)*(q-3)*(q+1)*(q-2)^2],
[q^3*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^7*Phi3*Phi5*Phi6*Phi7, q^2-5*q+18],
[q^6*Phi2*Phi4*Phi5*Phi6*Phi7, 1/2*q^2-5/2*q+9],
[q^2*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^5*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q^2-5/2*q+9],
[Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi7, 1/72*q*(q-1)*(q-2)*(q-3)*(q-4)*(q+1)],
[q^6*Phi2*Phi3*Phi5*Phi6*Phi7, 1/6*q^3-3/2*q^2+13/3*q-10],
[q*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/12*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/2*q^3-9/2*q^2+13*q-30],
[q^3*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/6*q^3-3/2*q^2+13/3*q-10],
[Phi1*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/240*q*(q-5)*(q-1)*(q-2)*(q-3)*(q-4)],
[q^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7, 1/24*q^4-7/12*q^3+71/24*q^2-77/12*q+11],
[q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/12*q^4-7/6*q^3+71/12*q^2-77/6*q+22],
[q*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/120*(q-8)*(q^4-12*q^3+59*q^2-108*q+180)],
[Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/5040*q^6-3/560*q^5+59/1008*q^4-37/112*q^3+319/315*q^2-223/140*q+13/7]
];