Characteristic polynomials of the Hecke operator T2 on Gamma0(15) for weights up to 22

{2, 1 + x}

{4, (-3 + x)*(-1 + x)}

{6, (-7 + x)*(2 + x)*(-102 + x + x^2)}

{8, (13 + x)*(22 + x)*(-138 - 7*x + x^2)}

{10, (-22 + x)*(4 + x)*(-302 - 31*x + x^2)*(-1092 - 19*x + x^2)}

{12, (56 + x)*(-408 + 13*x + x^2)*(-1488 + 22*x + x^2)* (7248 - 5450*x + x^2 + x^3)}

{14, (76 + x)*(-2732 - 131*x + x^2)*(-14432 - 14*x + x^2)* (-100128 - 18038*x + 65*x^2 + x^3)}

{16, (-9408 - 208*x + x^2)*(-44528 + 158*x + x^2)* (6220272 - 57170*x - 191*x^2 + x^3)* (10337856 - 111152*x - 115*x^2 + x^3)}

{18, (-243392 + 356*x + x^2)*(-18642624 - 161060*x + 253*x^2 + x^3)* (-63499776 - 248000*x + 442*x^2 + x^3)* (35780688384 - 34227776*x - 481278*x^2 + 33*x^3 + x^4)}

{20, (-161408 - 152*x + x^2)*(-15020544 - 625232*x - 250*x^2 + x^3)* (190379904 - 1041032*x - 115*x^2 + x^3)* (-30192738816 + 1323654608*x - 1015482*x^2 - 1311*x^3 + x^4)}

{22, (-544 + x)*(4487879424 - 6180860*x - 803*x^2 + x^3)* (-810456064 - 5521440*x - 702*x^2 + x^3)* (-2165809152 - 1132928*x + 2300*x^2 + x^3)* (2065963121664 - 1891862624*x - 3210438*x^2 + 897*x^3 + x^4)}