Characteristic polynomials of the Hecke operator T3 on Gamma0(16) for weights up to 22

{2, 1}

{4, -4 + x}

{6, (-12 + x)*(20 + x)}

{8, (-84 + x)*(12 + x)*(44 + x)}

{10, (-156 + x)*(-60 + x)*(68 + x)*(228 + x)}

{12, (-516 + x)*(-36 + x)*(252 + x)*(-445680 + 56*x + x^2)}

{14, (-1836 + x)*(-12 + x)*(468 + x)*(1236 + x)*(-3008880 + 872*x + x^2)}

{16, (-3444 + x)*(-3348 + x)*(-276 + x)*(2700 + x)*(6252 + x)* (-19611504 - 4072*x + x^2)}

{18, (-4284 + x)*(6084 + x)*(-336440304 - 5880*x + x^2)* (-140413680 - 952*x + x^2)*(-117696240 + 11592*x + x^2)}

{20, (-53028 + x)*(-13092 + x)*(-36 + x)*(50652 + x)* (-1144314864 - 27912*x + x^2)* (-7068250797120 - 1785165264*x + 23732*x^2 + x^3)}

{22, (-128844 + x)*(59316 + x)*(71604 + x)*(-10438573680 - 105432*x + x^2)* (-14536815984 + 65640*x + x^2)* (156439878638400 - 20431242576*x + 96764*x^2 + x^3)}