DegreesAndMultiplicitiesA6ad_1mod7 := [
[1, 7],
[q*(q+1)*(q^2+q+1)*(q^2-q+1), 7],
[q^6+q^5+q^4+q^3+q^2+q+1, q-8],
[q^2*(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 7],
[(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[(q-1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 7],
[q*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[q*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q^2-5/2*q+9],
[q^3*(q+1)*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 7],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[q^4*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 7],
[q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[q^2*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-8],
[q*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1), q-8],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q^2-5*q+18],
[(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/2*q*(q-1)],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/3*q*(q-1)*(q+1)],
[q*(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q*(q-1)],
[(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)*(q-2)],
[q^5*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 7],
[q^6*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 7],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-16],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1), q-8],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q^2-4*q+10],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q^2-5/2*q+9],
[q*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 1/2*q^2-5/2*q+9],
[(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/6*q^3-3/2*q^2+13/3*q-10],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/2*q*(q-1)],
[q^6*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 7],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1), q-8],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q^2-5/2*q+9],
[q^2*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)],
[(q-1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)*(q-2)],
[q^7*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 7],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-16],
[q^3*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, q-8],
[q*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q^2-5*q+18],
[q^4*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3, q-8],
[q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-1)*(q-2)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, q^2-5*q+18],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q^2-5*q+18],
[(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q^3-9/2*q^2+13*q-30],
[(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 1/3*q*(q-1)*(q+1)],
[(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/4*q^2*(q-1)*(q+1)],
[q^2*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/2*q*(q-1)],
[(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/8*q*(q-1)*(q-2)*(q+1)],
[q*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/6*q*(2*q+5)*(q-1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+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^9*(q+1)*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 7],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[q^10*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 7],
[q^6*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-16],
[q^3*(q-1)*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*q*(q-1)],
[q*(q-1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)*(q-2)],
[q*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[(q-1)*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/4*q*(q-1)*(q-2)*(q-3)],
[q^6*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[q^4*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 2*q-16],
[q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1), q^2-4*q+10],
[q^4*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, q-8],
[q^2*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 3/2*q^2-15/2*q+27],
[q^3*(q+1)*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*q^2-5/2*q+9],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q^2-5*q+18],
[q*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q^3-4*q^2+21/2*q-21],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/6*q^3-3/2*q^2+13/3*q-10],
[q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/6*q^3-3/2*q^2+13/3*q-10],
[(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, 1/24*q^4-7/12*q^3+71/24*q^2-77/12*q+11],
[(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^4, 1/6*q^2*(q-1)*(q+1)],
[q^2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^3, 1/2*q*(q-1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*q*(q-1)*(q-2)*(q+1)],
[q^3*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/2*q*(q-1)],
[q^2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, 1/3*q*(q-1)*(q+1)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+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+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^11*(q^2+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 7],
[q^4*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)],
[q^2*(q-1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)*(q-2)],
[q^5*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1), q-8],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/12*q*(q-1)*(q-2)*(q-3)],
[q^7*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-8],
[q*(q-1)*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)*(q-2)],
[q^6*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1), q-8],
[q^5*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+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^3*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 3/2*q^2-15/2*q+27],
[q^4*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*(q-1)*(q-2)],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q^2-5*q+18],
[q^2*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/6*q^3-1/2*q^2-2/3*q+8],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*q^3-9/2*q^2+13*q-30],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3, 1/2*q^2-5/2*q+9],
[q*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, 1/2*q^3-9/2*q^2+13*q-30],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/12*q^4-7/6*q^3+71/12*q^2-77/6*q+22],
[(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/6*q^2*(q+1)*(q-1)^2],
[q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^3, 1/4*q^2*(q-1)*(q+1)],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*q^2*(q-1)*(q-2)*(q+1)],
[q^3*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/6*q*(2*q+5)*(q-1)],
[q^15*(q+1)*(q^2-q+1)*(q^2+q+1), 7],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[q*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 11/24*q*(q-1)*(q-2)*(q+1)],
[q^6*(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q*(q-1)],
[q^10*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+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+1)*(q-2)^2],
[q^3*(q-1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)*(q-2)],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^3, 1/3*q*(q-1)*(q-2)*(q+1)],
[(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^10*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[q^7*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[q^3*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[q^2*(q-1)*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)*(q-2)],
[q^7*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1), q-8],
[q^6*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q^2-4*q+10],
[q*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)*(q-3)],
[q^4*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q^2-5*q+18],
[q*(q-1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^6*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 1/2*q^2-5/2*q+9],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, q^2-5*q+18],
[(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/12*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q^2-5*q+18],
[q^3*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q^3-4*q^2+21/2*q-21],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*q^3-9/2*q^2+13*q-30],
[q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/6*q^3-3/2*q^2+13/3*q-10],
[q^2*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, 1/2*q^3-9/2*q^2+13*q-30],
[q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/6*q^4-7/3*q^3+71/6*q^2-77/3*q+44],
[q*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^3, 1/24*q^4-7/12*q^3+71/24*q^2-77/12*q+11],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q^2+q+1)^2, 1/120*(q-8)*(q^4-12*q^3+59*q^2-108*q+180)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q+1)^3*(q-1)^6, 1/7*(q-1)*(q^5+2*q^4+3*q^3+4*q^2+5*q+6)],
[(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^5, 1/12*q^3*(q-1)*(q+1)^2],
[(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^5, 1/10*q^2*(q-1)*(q+1)*(q^2+1)],
[q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^4, 1/6*q^2*(q-1)*(q+1)],
[(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^4, 1/24*q^2*(q-1)*(q-2)*(q+1)^2],
[(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+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^3+q-1)],
[q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 1/3*q*(q-1)*(q+1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3*(q-1)^4, 1/18*q*(q-1)*(q+1)*(q^3-q-3)],
[q*(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/8*q^3*(q+1)*(q-1)^2],
[q^6*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/2*q*(q-1)],
[q^3*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/4*q^2*(q-1)*(q+1)],
[q^21, 7],
[q^6*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/3*q*(q-1)*(q+1)],
[q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*q*(q-1)*(q-2)*(q+1)],
[q*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^3, 1/6*q^2*(q+1)*(q-1)^2],
[q^5*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/2*q*(q-1)],
[q^10*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q-1)^3, 1/48*q*(q-1)*(q-2)*(q+1)*(q^2-q-4)],
[q^3*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/8*q*(q-1)*(q-2)*(q+1)],
[(q^2-q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q+1)^3*(q-1)^4, 1/10*q*(q-1)*(q-2)*(q+1)*(q^2+1)],
[q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*q^2*(q-1)*(q-2)*(q+1)],
[(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^3, 1/12*q^2*(q+1)*(q-2)*(q-1)^2],
[q^15*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+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^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)],
[q^2*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^6*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)*(q-2)],
[q^11*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[q^9*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q-8],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+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+1)*(q-2)^2],
[q^4*(q-1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q*(q-1)*(q-2)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/24*q^2*(q-1)*(q-2)*(q-3)*(q+1)],
[q^2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/12*q*(q-1)*(q-2)*(q-3)],
[q*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^10*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q^2-5/2*q+9],
[(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q^2+q+1)^2, 1/48*q*(q-1)*(q-3)*(q+1)*(q-2)^2],
[q^3*(q-1)*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/4*q*(q-1)*(q-2)*(q-3)],
[q^7*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), q^2-5*q+18],
[q^6*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q^2-5/2*q+9],
[q^2*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+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^5*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q^2-5/2*q+9],
[(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^3, 1/72*q*(q-1)*(q-2)*(q-3)*(q-4)*(q+1)],
[q^6*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/6*q^3-3/2*q^2+13/3*q-10],
[q*(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/12*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q^4*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1), 1/2*q^3-9/2*q^2+13*q-30],
[q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/6*q^3-3/2*q^2+13/3*q-10],
[(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q^2+q+1)^2, 1/240*q*(q-5)*(q-1)*(q-2)*(q-3)*(q-4)],
[q^3*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q+1)^2, 1/24*q^4-7/12*q^3+71/24*q^2-77/12*q+11],
[q^2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/12*q^4-7/6*q^3+71/12*q^2-77/6*q+22],
[q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q^2+q+1)^2, 1/120*(q-8)*(q^4-12*q^3+59*q^2-108*q+180)],
[(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q+1)^3, 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]
];