Characteristic polynomials of the Hecke operator T2 on Gamma0(11) for weights up to 22

Level 11, Rational newforms page

{2, 2 + x}

{4, -2 - 2*x + x^2}

{6, (4 + x)*(188 - 90*x + x^3)}

{8, (-44 + 8*x + x^2)*(51744 + 140*x - 558*x^2 + x^4)}

{10, (6688 - 1224*x + x^3)*(4247232 + 619552*x + 6428*x^2 - 1506*x^3 - 16*x^4 + x^5)}

{12, (92224 - 4500*x + x^3)* (-87564928 + 11993504*x + 140876*x^2 - 7718*x^3 - 32*x^4 + x^5)}

{14, (-195385344 + 54095104*x - 755648*x^2 - 17232*x^3 + 64*x^4 + x^5)* (15935676776448 - 1726202485760*x - 3692170944*x^2 + 738251616*x^3 + 193468*x^4 - 52218*x^5 + x^7)}

{16, (286842333184 + 2019752192*x - 20322656*x^2 - 126524*x^3 + 128*x^4 + x^5)*(-872452335304704 - 36793730914304*x - 65268605952*x^2 + 8013742752*x^3 + 2029324*x^4 - 178974*x^5 + x^7)}

{18, (-1689369784745984 + 1191801323520*x + 69852243456*x^2 + 22630880*x^3 - 568728*x^4 + x^6)* (52037343057540808704 + 690666923807719424*x - 2743273869476864*x^2 - 33707985430080*x^3 + 112166877920*x^4 + 193036540*x^5 - 687186*x^6 - 256*x^7 + x^8)}

{20, (-18232005667571367936 - 132046427728117760*x + 58437285322752*x^2 + 1164041688576*x^3 + 70565504*x^4 - 2146212*x^5 + x^7)* (-51711586793823416648466432 + 505252862714918685638656*x + 184464266823287308288*x^2 - 3150931157329977344*x^3 - 949195630239104*x^4 + 5755363673632*x^5 + 1377706252*x^6 - 4097366*x^7 - 512*x^8 + x^9)}

{22, (11702316792977249557020672 - 8734350070609961025536*x - 55240364743425523712*x^2 + 14052099503130624*x^3 + 47158581881600*x^4 - 8241248512*x^5 - 12344736*x^6 + 1024*x^7 + x^8)* (-5213989603185599576042429743104 - 8928072043455140722596904960*x + 180316807019475110466158592*x^2 - 42860139848725609512960*x^3 - 241577707241946000384*x^4 + 19609468609896000*x^5 + 101963391383136*x^6 - 2153688900*x^7 - 17178858*x^8 + x^10)}