Characteristic polynomials of the Hecke operator T3 on Gamma0(10) for weights up to 28

Level 10, Rational newforms page

{4, 8 + x}

{6, (-24 + x)*(-6 + x)*(26 + x)}

{8, -28 + x}

{10, (-174 + x)*(-46 + x)*(204 + x)}

{12, (-738 + x)*(12 + x)*(318 + x)*(-105696 - 604*x + x^2)}

{14, (-1224 + x)*(26 + x)*(2394 + x)}

{16, (918 + x)*(1302 + x)*(5568 + x)*(-23106816 + 1844*x + x^2)}

{18, (14976 + x)*(-91715004 - 17628*x + x^2)*(-74525184 + 1308*x + x^2)* (-220842684 + 6308*x + x^2)}

{20, (-38628 + x)*(-24642 + x)*(26622 + x)*(-886013856 - 33724*x + x^2)}

{22, (21924 + x)*(-18411305184 - 100308*x + x^2)* (-16747129404 - 30972*x + x^2)*(-8368290684 + 126692*x + x^2)}

{24, (56981348964 - 686484*x + x^2)*(-56938873536 + 18516*x + x^2)* (-83843566236 + 91884*x + x^2)* (-28032512627411712 - 210324183408*x + 229976*x^2 + x^3)}

{26, (-162864 + x)*(-875365783164 - 545212*x + x^2)* (-442512911484 + 97092*x + x^2)*(-1964206822464 + 438588*x + x^2)}

{28, (-5389720805916 + 2245644*x + x^2)*(-658974328416 + 3340644*x + x^2)* (-4318634737116 + 4702956*x + x^2)* (25292589904041437952 - 3813218322048*x - 4703716*x^2 + x^3)}}