Characteristic polynomials of the Hecke operator T2 on Gamma0(19) for weights up to 12

{2, x}

{4, (3 + x)*(38 - 18*x - 3*x^2 + x^3)}

{6, (2 + x)*(6 + x)*(-32 + 7*x + x^2)* (-1140 + 774*x - 72*x^2 - 9*x^3 + x^4)}

{8, (3240 - 396*x - 234*x^2 + 9*x^3 + x^4)* (-1974784 - 289800*x + 64272*x^2 + 4650*x^3 - 450*x^4 - 15*x^5 + x^6)}

{10, (-92329216 + 12266496*x + 618576*x^2 - 48120*x^3 - 1674*x^4 + 33*x^5 + x^6)*(-5784998400 - 3693191040*x - 693287712*x^2 - 23100984*x^3 + 2972568*x^4 + 41238*x^5 - 3258*x^6 - 15*x^7 + x^8)}

{12, (384276234240 - 33006306816*x - 56001024*x^2 + 33079800*x^3 - 57780*x^4 - 10458*x^5 + 9*x^6 + x^7)* (139839674073088 - 33506908250112*x + 1569947506944*x^2 + 49908522752*x^3 - 3703642344*x^4 + 23062032*x^5 + 1111298*x^6 - 11322*x^7 - 87*x^8 + x^9)}