DegreesAndMultiplicities2E6sc_5mod6 := [ [1, 1], [q*(q^6-q^3+1)*(q^4+1), 1], [(q^2+q+1)*(q^6-q^3+1)*(q^4-q^2+1)*(q^2-q+1)^2, q], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1), 1], [(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1), 1], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2, 1], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^4, 1], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1], [(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1/2*q-1/2], [q*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1], [(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1/2*q-3/2], [q^4*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1], [q*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q], [1/3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2, 3], [1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 6], [(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2, 1/6*(q+1)*(q-2)], [q^2*(q^2+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2, q], [q^6*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2, 1], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^2, 1/2*(q+1)*(q-2)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*(q+1)*(q-2)], [q^5*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1), 1], [(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [q*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1), 1], [(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [q*(q-1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1), 1/2*q-1/2], [q^2*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2, q], [q*(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [q^2*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1), 1], [q^6*(q^6-q^3+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1], [(q-1)*(q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [q*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1), 1/2*q-3/2], [1/3*(q^2+q+1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q-1)^3*(q+1)^4, 6], [1/3*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2+q+1)^2, 3], [(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, 1/2*q+1/2], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q-1/2], [q^2*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1], [1/6*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^4, 1], [1/6*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2+q+1)^2, 1], [1/3*q^7*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1], [1/3*q*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 3], [1/3*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^2+1)^2*(q-1)^4*(q+1)^6, 2], [1/3*q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 6], [1/3*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3, q], [1/2*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2, 1], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q], [1/2*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^4, 1], [1/2*q^3*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, q], [q*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)*(q-2)], [q^2*(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q-1/2], [q*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 1/6*(q+1)*(q-2)], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1], [(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*q-3/2], [q^3*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 1], [q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [q^3*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1], [q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^2, 1/2*(q+1)*(q-2)], [q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1], [(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)], [q^2*(q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q-3/2], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*(q+1)*(q-2)], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/2*q-3/2], [q*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*(q-1)^2], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-3)*(q-1)^2], [(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/12*q^2-1/3*q+7/12], [q^2*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [q^3*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 1/2*q-1/2], [q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)*(q-2)], [q^4*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2, q], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-1)], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4, 1/6*q*(q+1)], [(q-1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/4*(q-1)*(q+1)^2], [q^2*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, 1/2*q+1/2], [q^3*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1/2*q-1/2], [q*(q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*(q-1)^3], [q^10*(q^6-q^3+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1], [q^6*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, q], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, 1/4*(q+1)*(q^2-2*q-1)], [q*(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*q-3/2], [q^4*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 1], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q-1/2], [(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/4*(q-1)^2], [q^12*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2, 1], [q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2+q+1)^2, 1], [(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/4*(q-1)^2], [q^4*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1], [q^3*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 1/2*q-3/2], [q*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*(q+1)*(q-2)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/6*(q+1)*(q-2)], [q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/2*q-3/2], [q^3*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1/2*q-3/2], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q+1)*(q-3)^2], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^4, 1/12*(q-3)*(q-5)], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1], [q^4*(q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1], [q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q-3], [q^2*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q^2-2*q+5/2], [q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q-1/2], [q^11*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1), 1], [q^5*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q+1/2], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/2*(q+1)*(q-3)], [1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 3], [1/3*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 6], [q^4*(q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/2*q-1/2], [q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q^2-2/3*q+7/6], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*q^3-7/6*q^2+5/2*q-13/6], [q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*(q-1)*(q-2)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/8*(q-1)*(q+1)], [q^5*(q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1], [q^2*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q-3], [q^3*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2, q], [q*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q^2-4*q+5], [q^3*(q-1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, q-1], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, q-1], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/24*(q+1)*(q-5)], [q^13*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1], [q^4*(q+1)*(q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/2*q-3/2], [q^4*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 2], [q*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [q^2*(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, 1/2*q+1/2], [q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, q-3], [(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^3], [q^6*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 1], [q*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-3)], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q-1/2], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/3*(q+1)*(q-2)], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/4*(q-1)*(q+1)], [(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/3*(q+1)*(q^2-2*q+2)], [q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*(q+1)*(q-3)], [(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*(q+1)*(q-2)], [1/6*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 3], [1/6*q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^3, 3], [1/6*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q-1)^4*(q+1)^4, 6], [1/6*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 3], [1/6*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 6], [1/6*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 6], [1/6*q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, 3], [1/6*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^6, 6], [1/3*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4, 3], [1/3*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 3/2*q-9/2], [1/3*q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 3], [1/3*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 3/2*q-9/2], [1/3*q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 6], [1/3*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q-1)^3*(q+1)^4, 3*q-9], [1/3*q*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 6], [1/3*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^5, 3*q-9], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/6*(q+1)*(q-2)], [1/2*q^7*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3, q], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^3, 1/6*(q+1)*(q-2)], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/3*(q+1)*(q-2)], [1/2*q^15*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1), 1], [1/2*q^15*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2, 1], [1/2*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q], [1/2*q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, (q+1)*(q-2)], [1/2*q^7*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*(q+1)*(q-2)], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/3*(q+1)*(q-2)], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 1/3*(q+1)*(q-2)], [1/2*q^15*(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^4, 1], [1/2*q^7*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, q], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, 1/6*(q+1)*(q-2)], [1/2*q^15*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1], [1/2*q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, (q+1)*(q-2)], [1/2*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^6, 1/3*(q+1)*(q-2)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/72*(q-5)*(q^3-6*q^2+10*q-7)], [q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/8*(q-3)*(q-1)^2], [q^2*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/2*q-3/2], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*(q-2)*(q^2-2*q-1)], [q^3*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*(q-1)^2], [q^2*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*(q-1)*(q-2)], [(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/12*(q-5)*(q-1)*(q-2)], [q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/6*q^2-2/3*q+7/6], [(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/12*(q-1)*(q-3)*(q^2-q+1)], [q^6*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 1/2*q-1/2], [q^4*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [q*(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*(q-1)^3], [q^2*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q^2-7/2*q+7/2], [q^4*(q-1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, q-1], [q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, q-1], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/6*q^2-2/3*q+1/6], [(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/18*(q+1)*(q-2)*(q^2-q+2)], [q^6*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1/2*q-1/2], [(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*(q-1)*(q-2)*(q+1)], [q^4*(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, q-3], [q*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^3], [q^7*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 1], [q^3*(q-1)*(q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/2*(q-1)^2], [q^7*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1], [q^2*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-3)], [q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/12*(q-2)*(q-3)*(q+1)], [(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/6*(q-1)*(q-2)*(q+1)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/6*q*(q+1)*(q^2-q+1)], [q*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-1)*(q+1)^2], [(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, 1/4*(q-1)*(q+1)*(q^2-q-1)], [q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/3*(q+1)*(q^2-2*q+2)], [q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, q+1], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/2*(q+1)*(q-3)], [q^6*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2+q+1)^2, 1], [q^3*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*(q-1)^2], [q^7*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1], [(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-1)*(q+1)*(q^2-3*q+1)], [q^6*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2, 1/2*q-3/2], [q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/8*(q+1)*(3*q^2-6*q-5)], [(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 1/12*(q+1)*(q-3)*(q^2-q-5)], [q^2*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)], [q*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*(q+1)*(q-2)], [q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/3*(q+1)*(q-2)], [(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q+1)^3, 1/6*q*(q-1)*(q-2)*(q+1)], [q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, 1/2*(q+1)*(q-3)], [q^6*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2, 1/2*q-3/2], [q^2*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/2*q-3/2], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-3)*(q^2-3*q-6)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/18*(q+1)*(q-2)*(q^2-q-1)], [(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^5, 1/6*(q-2)*(q-3)*(q+1)], [q^2*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/12*q^2-1/3*q+7/12], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/6*q^3-7/6*q^2+5/2*q-13/6], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/48*(q-5)*(q^3-8*q^2+17*q-14)], [q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/2*q-3/2], [q^4*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*q^3+3/8*q^2-25/8*q+37/8], [q^3*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*(q-1)*(q-2)], [q*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*q^3-2*q^2+19/4*q-4], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^3*(q^2-q+1)^3, 1/8*q*(q-1)*(q+1)^2], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*(q-1)*(q+1)], [q^5*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1], [q^2*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/4*(q-1)^2], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/16*q*(q-1)*(q-3)*(q+1)], [q^10*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2, q], [q^4*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q-3], [q^6*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [q*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^3], [q^5*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [q^7*(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q-1/2], [q^6*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-1)], [q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q^2-7/2*q+7/2], [(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/8*(q-2)*(q-1)^3], [q^4*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, q-1], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*(q-1)*(q-3)], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/6*(q+1)*(q-2)], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/6*q*(q+1)], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^3*(q+1)^4, 1/6*q*(q+1)*(q^2-2)], [q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/3*(q+1)*(q^2-2*q+2)], [q^20*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1), 1], [q^2*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/4*(q-1)*(q+1)^2], [q^6*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, 1/2*q+1/2], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*(q+1)*(q^3-2*q^2+2*q-2)], [q^4*(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [q^10*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1), 1], [q^12*(q^2+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2, q], [q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*(q-1)*(q-2)*(q+1)], [q^4*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, 1/2*q+1/2], [q^2*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*(q-1)^3], [q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q-1/2], [q^8*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1], [q^3*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-3)], [q^2*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*(q+1)*(q^2-2*q-1)], [q^4*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q-1/2], [q*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*q*(q-1)*(q-3)], [q^2*(q-1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/4*(q-1)^2], [(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-1)*(q^3-q^2-3*q+1)], [q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/2*(q+1)*(q-3)], [q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*(q+1)*(q-2)], [q^7*(q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q-3/2], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*(q+1)*(q-3)], [q^3*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/16*(q+1)*(q-3)*(q^2-3*q-2)], [q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^3, 1/2*q-3/2], [q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-3)*(q^2-3*q-6)], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q+1)*(q-3)^2], [q^2*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q+1)^4, 1/12*(q-3)*(q-5)], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/48*(q-3)*(q-5)*(q^2-3*q-8)], [1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3, 1/2*q-5/2], [1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 2*q+2], [1/3*q^7*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 3], [1/3*q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 3], [1/3*q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 6], [1/3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 2*q-4], [1/3*q^3*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 6], [1/3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 3*q-9], [1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 3/2*q-9/2], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/72*(q-5)*(q^3-6*q^2+10*q-7)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3, 1/720*(q-3)*(q-5)*(q^3-12*q^2+34*q-13)], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/6*q^3-7/6*q^2+5/2*q-13/6], [q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/8*(q-3)*(q-1)^2], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/24*(q-5)*(q^3-8*q^2+17*q-14)], [q^4*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q^2-2/3*q+7/6], [q^6*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*(q-1)^2], [q*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/12*(q-1)*(q-3)*(q^2-q+1)], [q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*(q-2)*(q^2-2*q-1)], [(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/48*(q-1)*(q^2-q+1)*(q-3)^2], [q^4*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*(q-1)*(q-2)], [q^2*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*q^3-2*q^2+19/4*q-4], [q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/18*(q+1)*(q-2)*(q^2-q+2)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/18*q*(q+1)*(q-2)*(q^2-q+2)], [q^10*(q-1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1), 1/2*q-1/2], [q^5*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q-3], [q^7*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [q^2*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^3], [q^6*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)*(q-2)], [q^3*(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*(q-1)^3], [q^4*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q^2-4*q+5], [q*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*(q-2)*(q-1)^3], [q^7*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2, 1/6*(q+1)*(q-2)], [q^5*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q-1/2], [q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/6*q^2-2/3*q+1/6], [q^2*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/3*(q+1)*(q^2-2*q+2)], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/8*(q-1)*(q^2-q+1)*(q+1)^2], [q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1], [q^4*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [q^6*(q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/24*(q+1)*(11*q^3-28*q^2+28*q-19)], [q^10*(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [q^13*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q], [q^11*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1), 1], [q^2*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*(q-1)*(q-2)*(q+1)], [q^6*(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*q-3/2], [q^3*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^3], [q^7*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/16*(q-1)*(q-3)*(q+1)*(q^2-q-1)], [q^4*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q*(q-3)], [q^2*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/4*q*(q-1)*(q-3)], [q^4*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/3*(q+1)*(q-2)], [q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^3, 1/6*q*(q-1)*(q-2)*(q+1)], [q^25*(q^6-q^3+1)*(q^4+1), 1], [(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)], [q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-1)*(q+1)^2], [q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/3*(q+1)*(q^2-2*q+2)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/6*q^2*(q-1)*(q-2)*(q+1)], [q^15*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1], [q^10*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1), 1/2*q-3/2], [q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-1)*(q-2)*(q+1)^2], [q^7*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^2, 1/2*(q+1)*(q-2)], [q^5*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/2*q+1/2], [q^6*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)], [q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/8*(q+1)*(3*q^2-6*q-5)], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/8*(q+1)*(q-3)*(q^2-3*q-2)], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/18*(q+1)*(q-2)*(q^2-q-1)], [q^7*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*(q+1)*(q-2)], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 1/6*q*(q+1)*(q^2-q+1)], [(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/18*(q+1)*(q-2)*(q^3-q^2+2*q-3)], [q^3*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*(q+1)*(q-2)], [(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/6*(q+1)*(q-2)*(q^3-q^2+2*q-3)], [q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^5, 1/4*(q-1)*(q+1)*(q^2-q-1)], [(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/8*(q-1)*(q-3)*(q+1)*(q^2-q-1)], [q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/2*q-3/2], [q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, 1/2*(q+1)*(q-3)], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-3)*(q^2-3*q-6)], [q*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4, 1/12*(q+1)*(q-3)*(q^2-q-5)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 1/48*(q-3)*(q-5)*(q+1)*(q^2-q-7)], [1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q-1)^4, 1/12*(q-5)^2], [1/3*q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3, 1/2*q-5/2], [1/3*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3, 1/4*q^2-q+7/4], [1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/2*(q+1)*(q-2)], [1/3*q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 3/2*q-9/2], [1/3*q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 2*q+2], [1/3*q^12*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2, 3], [1/3*q^4*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 3], [1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^6, q*(q+1)], [1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3*(q+1)^3, (q+1)*(q-2)], [1/3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4, 1/2*q*(q+1)], [1/3*q^3*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 3/2*q-9/2], [1/3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, q^2-5/2*q+5/2], [1/3*q^3*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q-1)^3*(q+1)^4, 3*q-9], [1/3*q^9*(q^2+q+1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q-1)^3*(q+1)^4, 6], [1/3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^5, 3/2*(q-1)^2], [1/3*q^9*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2+q+1)^2, 3], [1/3*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 3/4*(q-1)^2], [1/3*q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 2*q-4], [1/3*q^12*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 6], [1/3*q^4*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 6], [1/3*q*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 3*q-9], [1/3*q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 3/2*q-9/2], [1/3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^5, q^2-5/2*q+5/2], [1/3*q^3*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^5, 3*q-9], [1/3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 1/2*(q-3)*(q-5)], [1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4, 1/4*(q-3)*(q-5)], [1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^6, 2/3*(q+1)*(q-2)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q-1)^4, 1/51840*(q-11)*(q+1)*(q^2-10*q+31)*(q-5)^2], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3, 1/720*(q-3)*(q-5)*(q^3-12*q^2+34*q-13)], [q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/72*(q-5)*(q^3-6*q^2+10*q-7)], [(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3, 1/1440*(q+1)*(q-5)*(q^4-8*q^3+28*q^2-48*q+47)], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/48*(q-5)*(q^3-8*q^2+17*q-14)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/216*(q^2-q+4)*(q+1)^2*(q-2)^2], [q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-3)*(q-1)^2], [q^4*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*q^3-7/6*q^2+5/2*q-13/6], [q*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/48*(q-1)*(q^2-q+1)*(q-3)^2], [q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/12*(q-5)*(q-1)*(q-2)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^4, 1/96*(q-1)*(q^2-3)*(q+1)^3], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^3*(q^2-q+1)^3, 1/8*q*(q-1)*(q+1)^2], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^3*(q^2-q+1)^3, 1/32*(q-1)*(q^3-q^2-q-1)*(q+1)^2], [q^4*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/8*(q-1)*(q+1)], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/18*q*(q+1)*(q-2)*(q^2-q+2)], [q^10*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/16*q*(q-1)*(q-3)*(q+1)], [q^12*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2-q+1)^2, 1/6*(q+1)*(q-2)], [q^6*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/12*q^2-1/3*q+7/12], [q^3*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/12*(q-1)*(q-3)*(q^2-q+1)], [q^7*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)*(q-2)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/192*(q-1)*(q-3)*(q^2-4*q+1)*(q+1)^2], [q^5*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q^2-2*q+5/2], [q^2*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/8*(q-2)*(q-1)^3], [q^4*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/24*(q+1)*(q-5)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^6, 1/72*q*(q+1)*(q-2)*(q^3+2*q^2+2*q+7)], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^3*(q^2-q+1)^3*(q+1)^5, 1/12*q^3*(q-1)*(q+1)^2], [q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4, 1/6*q*(q+1)], [(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^4, 1/10*q^2*(q-1)*(q+1)*(q^2+1)], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^3*(q+1)^4, 1/6*q*(q+1)*(q^2-2)], [q^6*(q-1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/4*(q-1)*(q+1)^2], [q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/18*(q+1)*(q-2)*(q^2-q+2)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3*(q+1)^3, 1/36*(q^2-q+2)*(q+1)^2*(q-2)^2], [q^15*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1/2*q-1/2], [q^20*(q^2+q+1)*(q^6-q^3+1)*(q^4-q^2+1)*(q^2-q+1)^2, q], [q*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/8*(q-1)*(q^2-q+1)*(q+1)^2], [(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4, 1/36*q*(q-1)*(q-2)*(q+2)*(q+1)^2], [q^8*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, 1/2*q+1/2], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/6*(q+1)*(q^3-2*q^2+2*q-2)], [q^11*(q-1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-1], [q^6*(q-1)*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*(q-1)^3], [q^3*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*(q-1)*(q-2)*(q+1)], [q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^3, 1/4*(q+1)*(q^2-2*q-1)], [q^7*(q-1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/2*q-3/2], [q^4*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^3], [q^8*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q-1/2], [q*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/16*(q-1)*(q-3)*(q+1)*(q^2-q-1)], [q^3*(q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/12*(q-2)*(q-3)*(q+1)], [(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4, 1/108*(q+1)*(q-2)*(q^4-2*q^3+3*q^2-11*q+1)], [q^3*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/6*(q-1)*(q-2)*(q+1)], [(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^5, 1/12*(q-1)*(q+1)*(q^4-q^3+2*q^2-3*q+2)], [(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^6, 1/9*(q+1)*(q^3-2)*(q^2-q+1)], [q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/6*q*(q+1)*(q^2-q+1)], [(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^5, 1/8*(q^2+1)*(q-1)^2*(q+1)^2], [q*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)], [q^36, 1], [q^4*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/4*(q-1)*(q+1)], [(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/16*(q-1)*(q^3-3*q^2+3*q-3)*(q+1)^2], [q^6*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/4*(q-1)^2], [q^3*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^3*(q+1)^4, 1/4*(q-1)*(q+1)*(q^2-q-1)], [q^4*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/3*(q+1)*(q^2-2*q+2)], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/6*q^2*(q-1)*(q-2)*(q+1)], [q^10*(q-1)*(q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-1)^2], [q^16*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1], [q^12*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^2, 1/2*(q+1)*(q-2)], [q^2*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-1)*(q^3-q^2-3*q+1)], [q^5*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q+1)^3*(q^2-q+1)^3, 1/2*(q+1)*(q-3)], [q^6*(q-1)*(q+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2, 1/4*(q-1)^2], [q^3*(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-1)*(q+1)*(q^2-3*q+1)], [q^7*(q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-3)], [(q-1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 1/96*(q-1)*(q+1)*(q^4-4*q^3-4*q^2+24*q-13)], [q^4*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^3, 1/4*(q+1)*(q-3)], [q^3*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^6-q^3+1)*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 1/12*(q+1)*(q-3)*(q^2-q-5)], [q^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3, 1/16*(q+1)*(q-3)*(q^2-3*q-2)], [q*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/18*(q+1)*(q-2)*(q^3-q^2+2*q-3)], [(q^4-q^3+q^2-q+1)*(q^6-q^3+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^6, 1/12*q^2*(q-1)*(q+1)*(q^2-q+1)], [q^12*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*(q+1)*(q-2)], [q^4*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/3*(q+1)*(q-2)], [(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^5, 1/10*q*(q-1)*(q-2)*(q+1)*(q^2+1)], [q*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^5, 1/6*(q+1)*(q-2)*(q^3-q^2+2*q-3)], [q^6*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/6*(q+1)*(q-2)], [q^3*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q+1)^3, 1/6*q*(q-1)*(q-2)*(q+1)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^4, 1/24*q*(q-1)*(q+1)^2*(q-2)^2], [q^15*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1), 1/2*q-3/2], [q*(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/8*(q-1)*(q-3)*(q+1)*(q^2-q-1)], [q^7*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^3, 1/2*q-3/2], [q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q+1)*(q-3)^2], [q^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q+1)^3*(q^2-q+1)^3, 1/4*(q-3)*(q^2-3*q-6)], [q*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3, 1/48*(q-3)*(q-5)*(q+1)*(q^2-q-7)], [q^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^4, 1/18*(q+1)*(q-2)*(q^2-q-1)], [(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q+1)^5, 1/36*(q+1)*(q-2)*(q^4-2*q^3+q^2-3*q+5)], [q^3*(q^2-q+1)*(q^2+q+1)*(q^6-q^3+1)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^5, 1/6*(q-2)*(q-3)*(q+1)], [(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6, 1/36*(q-2)*(q-3)*(q+1)*(q^3-q^2+2*q-5)], [(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^5, 1/96*(q-1)*(q-3)*(q+1)*(q^3-5*q^2+3*q+3)], [q^6*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2-q+1)^2*(q+1)^4, 1/12*(q-3)*(q-5)], [q^2*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4, 1/48*(q-3)*(q-5)*(q^2-3*q-8)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4, 1/1152*(q-3)*(q-5)*(q+1)*(q^3-7*q^2-7*q+61)], [(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^6-q^3+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^6, 1/648*(q+1)*(q-2)*(q^2-q-11)*(q^2-q+4)] ];