Characteristic polynomials of the Hecke operator T2 on Gamma0(13) for weights up to 18

{2, 1}

{4, (5 + x)*(-4 - x + x^2)}

{6, (2 + 5*x + x^2)*(444 - 84*x - 7*x^2 + x^3)}

{8, (-10 + x)*(6 + 19*x + x^2)*(12880 + 3264*x - 270*x^2 - 15*x^3 + x^4)}

{10, (232000 - 24936*x - 1194*x^2 + 33*x^3 + x^4)* (-1249344 + 383520*x + 8508*x^2 - 1348*x^3 - 15*x^4 + x^5)}

{12, (8321280 + 8660928*x - 137132*x^2 - 5776*x^3 + 41*x^4 + x^5)* (-11319915520 - 1594524928*x + 39388912*x^2 + 603264*x^3 - 12286*x^4 - 55*x^5 + x^6)}

{14, (-713559439360 + 7502807936*x + 268538080*x^2 - 1741272*x^3 - 32818*x^4 + 65*x^5 + x^6)* (611898900480 - 195188908032*x - 10792400448*x^2 + 109262496*x^3 + 3589516*x^4 - 28684*x^5 - 127*x^6 + x^7)}

{16, (-1457820061286400 + 77633370378240*x + 1393638715392*x^2 + 1317476032*x^3 - 47667996*x^4 - 121496*x^5 + 345*x^6 + x^7)* (-54500583184793600 + 4243501021274112*x - 82682338956288*x^2 - 147932264064*x^3 + 9422976272*x^4 + 3864432*x^5 - 189366*x^6 - 39*x^7 + x^8)}

{18, (29097002410143907840 - 51359424221872128*x - 4029448388284416*x^2 - 4050052470528*x^3 + 87042281984*x^4 + 33001368*x^5 - 565482*x^6 - 15*x^7 + x^8)* (-134320428388939506647040 + 43323465839792357376*x + 9155036132115480576*x^2 - 8950502787348480*x^3 - 129739384732224*x^4 + 138530930848*x^5 + 598612188*x^6 - 716852*x^7 - 783*x^8 + x^9)}