DegreesAndMultiplicitiesA4ad_1mod5 := [ [1, 5], [q*(q+1)*(q^2+1), 5], [q^4+q^3+q^2+q+1, q-6], [q^2*(q^4+q^3+q^2+q+1), 5], [(q^2+1)*(q^4+q^3+q^2+q+1), q-6], [(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1), 1/2*q*(q-1)], [q^3*(q^2+1)*(q^2+q+1), 5], [q*(q^2+1)*(q^4+q^3+q^2+q+1), q-6], [q*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-6], [(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1), 1/2*q^2-5/2*q+7], [(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, 1/2*q*(q-1)], [q^4*(q^4+q^3+q^2+q+1), 5], [q^2*(q^2+1)*(q^4+q^3+q^2+q+1), q-6], [q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1), q-6], [(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q^2-5/2*q+7], [(q+1)*(q^2+1)*(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+1)*(q^4+q^3+q^2+q+1), 1/2*q*(q-1)], [q^6*(q+1)*(q^2+1), 5], [(q-1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q*(q-1)*(q-2)], [q^3*(q^2+1)*(q^4+q^3+q^2+q+1), q-6], [q^3*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-6], [q^2*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1), q-6], [q*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), q^2-5*q+14], [q*(q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2, 1/2*q^2-5/2*q+7], [(q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/6*(q-6)*(q^2-3*q+8)], [(q^2+1)*(q^2+q+1)*(q+1)^2*(q-1)^4, 1/5*(q-1)*(q^3+2*q^2+3*q+4)], [(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 1/6*q^2*(q-1)*(q+1)], [(q+1)*(q^2+q+1)*(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^4+q^3+q^2+q+1)*(q-1)^2, 1/2*q*(q-1)], [q*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1)*(q-1)^2, 1/3*q*(q-1)*(q+1)], [q^10, 5], [(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2, 1/8*q*(q-1)*(q-2)*(q+1)], [q^3*(q-1)*(q^2+1)*(q^4+q^3+q^2+q+1), 1/2*q*(q-1)], [(q^2+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q+1)^2, 1/6*q*(q-1)*(q-2)*(q+1)], [q^6*(q^4+q^3+q^2+q+1), q-6], [q*(q-1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q*(q-1)*(q-2)], [q^4*(q^2+1)*(q^4+q^3+q^2+q+1), q-6], [(q-1)*(q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/12*q*(q-1)*(q-2)*(q-3)], [q^3*(q+1)*(q^2+1)*(q^4+q^3+q^2+q+1), 1/2*q^2-5/2*q+7], [q^2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q^2-5/2*q+7], [q*(q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/6*(q-6)*(q^2-3*q+8)], [(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 1/120*q^4-7/60*q^3+71/120*q^2-77/60*q+9/5] ];