Characteristic polynomials for the Hecke operator T5 on Gamma0(12) for weights k up to 30

{4, 18 + x}

{6, 1}

{8, (-270 + x)*(378 + x)}

{10, -990 + x}

{12, (-9990 + x)*(-2862 + x)}

{14, (14850 + x)*(24570 + x)}

{16, (-45702 + x)*(-65283075900 - 69660*x + x^2)}

{18, (-130950 + x)*(1608930 + x)}

{20, (-14321206676700 - 624780*x + x^2)* (-36694904269500 + 3267108*x + x^2)}

{22, (11268090 + x)*(-453753148117500 - 28827900*x + x^2)}

{24, (-30338544483900 - 73907100*x + x^2)* (-7436306938945500 + 34222068*x + x^2)}

{26, (-393322813353697500 - 500431500*x + x^2)* (-265004560601797500 - 198560700*x + x^2)}

{28, (-10235921548784161500 + 1503115380*x + x^2)* (-2429549514639064685833875000 - 15908650980641032500*x - 539309322*x^2 + x^3)}

{30, (-64918287940256437500 - 3392293500*x + x^2)* (-97132261436132737500 + 6143331060*x + x^2)}