Characteristic polynomials of the Hecke operator T5 on Gamma0(6) for weights up to 46

{4, -6 + x}

{6, 66 + x}

{8, 114 + x}

{10, -2694 + x}

{12, (-5766 + x)*(-3630 + x)*(11730 + x)}

{14, -54654 + x}

{16, (-77646 + x)*(114810 + x)*(314490 + x)}

{18, (-645150 + x)*(72186 + x)*(199650 + x)}

{20, (-1953390 + x)*(3732474 + x)*(5849490 + x)}

{22, (-26444550 + x)*(-12954174 + x)*(23245050 + x)}

{24, (-196251270 + x)*(9019770 + x)*(35483250 + x)* (-34686362439805500 - 25248156*x + x^2)}

{26, (-590425734 + x)*(292754850 + x)*(799327650 + x)}

{28, (-2904255750 + x)*(-1992850350 + x)*(-1220703150 + x)* (-17817155436651169500 - 291441036*x + x^2)}

{30, (-1951578750 + x)*(13482080250 + x)*(21003872250 + x)* (-281942755243476277500 + 6557946756*x + x^2)}

{32, (-21436113030 + x)*(24592451250 + x)*(41945483130 + x)* (-5038632969940877917500 - 65941253916*x + x^2)}

{34, (-397843662750 + x)*(249151856250 + x)*(368836145250 + x)* (-37834911013487231137500 + 9266183796*x + x^2)}

{36, (30162896250 + x)*(-1435551413635356119437500 - 2441564733660*x + x^2)*(-6901491549674070359437500 + 982143815460*x + x^2)* (120038514114725558302500 + 1444437369204*x + x^2)}

{38, (-7687713618750 + x)*(-7011991417350 + x)*(-4477461318150 + x)* (-214318621163651595942037500 + 2817943749636*x + x^2)}

{40, (45682904651250 + x)*(-2389750133116307145951937500 - 54702920206860*x + x^2)* (-2266606978164805175391937500 - 6873268566540*x + x^2)* (-2853976781087127714569917500 + 34197246804324*x + x^2)}

{42, (-9372398943750 + x)*(-32338330253801745844266337500 - 254513092547724*x + x^2)* (-10999765633616968327298437500 - 9833698458300*x + x^2)* (-79250388402653245303298437500 + 27809650431300*x + x^2)}

{44, (1901385277568250 + x)* (-1266667409590795314546299437500 - 201636036099420*x + x^2)* (-7744491058122173829507745500 - 99948841052556*x + x^2)* (-825668732088888693013979437500 + 981175039776420*x + x^2)}

{46, (-2521397093418750 + x)* (-22028758545696150300326535937500 - 7360030704569100*x + x^2)* (-25730168689547737232711653237500 - 166625813500284*x + x^2)* (5985647191420708080969464062500 + 6383766189434100*x + x^2)}