DegreesAndMultiplicitiesA5ad_1mod6 := [ [1, 6], [q*(q^4+q^3+q^2+q+1), 6], [(q+1)*(q^2+q+1)*(q^2-q+1), q-7], [q^2*(q^2-q+1)*(q^2+q+1)^2, 6], [(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 2*q-8], [(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 3/2*q-3/2], [(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*(q-1)^2], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1), 6], [q^3*(q^2+1)*(q^4+q^3+q^2+q+1), 6], [q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 2*q-8], [(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 3/2*q-9/2], [q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, q-7], [(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*q^2-3*q+17/2], [q^4*(q^2-q+1)*(q^2+1)*(q+1)^3, 6], [q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-7], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 3*q-9], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*q-8], [(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), q^2-8*q+19], [(q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 2/3*(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+2)*(q-1)^2], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, q*(q-1)], [q^6*(q^2-q+1)*(q^4+q^3+q^2+q+1), 6], [q*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-1)^2], [(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-1)^3], [q^6*(q^2+1)*(q^4+q^3+q^2+q+1), 6], [q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 3*q-9], [q^2*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 2*q-8], [q^3*(q+1)*(q^2-q+1)*(q^2+1)*(q^2+q+1)^2, q-7], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*q-8], [q*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), q^2-8*q+19], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/3*q^2-5/3*q+10/3], [q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*q^2-3*q+17/2], [(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^3-3/2*q^2+11/2*q-61/6], [q^2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^3, 3/2*q-3/2], [(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-3)*(q+2)], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+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-1)^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*(q-1)*(q-3)], [q^7*(q^2-q+1)*(q^2+q+1)^2, 6], [(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-2)*(q-1)^2], [q^3*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 2*q-8], [q^4*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-7], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*q-8], [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^2-3*q+17/2], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, q^2-5*q+10], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3, 3/2*q-9/2], [q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, q^2-8*q+19], [(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^3-5/2*q^2+37/4*q-16], [(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-1)^2*(q+1)^2], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+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-1)*(q+1)*(q^2-2*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+2)*(q-1)^2], [(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^2-2)*(q-1)^2], [q^10*(q^4+q^3+q^2+q+1), 6], [q^3*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-1)^2], [q^6*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 2*q-8], [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-1)^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-1)^3], [q^6*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, q-7], [q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 3*q-9], [(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-3)*(q-1)^3], [q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 2*q-8], [q^3*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), q^2-8*q+19], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, q^2-5*q+10], [q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*q^2-3*q+17/2], [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^2-8*q+19], [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^3-5*q^2+37/2*q-32], [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^3-3/2*q^2+11/2*q-61/6], [(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^4-7/12*q^3+37/12*q^2-97/12*q+277/24], [(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q-1)^5, 1/6*(q-1)*(q^4+2*q^3+3*q^2+2*q-2)], [q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 2/3*(q+2)*(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-1)*(q^4+2*q^3+q^2-6*q-10)], [(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, 3/2*q-3/2], [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-3)*(q+2)], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q-1)^3, 1/48*(q-1)*(q^4-q^3-6*q^2+5*q+25)], [(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-1)^2*(q+1)^2], [(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, 6], [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+2)*(q-1)^2], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+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-1)^2], [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-1)*(q+1)*(q^2-2*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^2-q-1)*(q-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, 1/4*q*(q-1)*(q-3)], [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^2-2)*(q-1)^2], [q^10*(q+1)*(q^2+q+1)*(q^2-q+1), q-7], [(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+1)*(q^3-4*q^2+4*q+1)], [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-1)^3], [q^7*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 2*q-8], [q^6*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 3/2*q-9/2], [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-2)*(q-1)^2], [(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^2-2*q-4)*(q-1)^3], [q^6*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*q^2-3*q+17/2], [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-3)*(q-1)^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^2-8*q+19], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/3*q^2-5/3*q+10/3], [(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^3-3/2*q^2+11/2*q-61/6], [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^3-5/2*q^2+37/4*q-16], [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^4-7/12*q^3+37/12*q^2-97/12*q+277/24], [(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-7)*(q^4-13*q^3+64*q^2-147*q+215)] ];