Characteristic polynomials of the Hecke operator T2 on Gamma0(7) with character chi_7 for weights up to 29

{5, -1 + x}

{7, (-9 + x)*(8 + x)^2}

{9, (31 + x)*(-120 - 16*x + x^2)^2}

{11, (-57 + x)*(-592 + 24*x + x^2)^2}

{13, (47 + x)*(172800 - 10216*x + x^3)^2}

{15, (87 + x)*(199833600 + 3161344*x - 49600*x^2 - 88*x^3 + x^4)^2}

{17, (-449 + x)*(773514240 - 15713792*x - 98776*x^2 + 272*x^3 + x^4)^2}

{19, (999 + x)*(-13438656184320 + 124785737728*x + 195823104*x^2 - 716336*x^3 - 456*x^4 + x^5)^2}

{21, (-1201 + x)*(-144664047806054400 + 1031542934077440*x + 5061977294848*x^2 - 1608807168*x^3 - 5029064*x^4 + 288*x^5 + x^6)^2}

{23, (-393 + x)*(-105182153715493109760 + 18285521478090752*x + 85918015043584*x^2 - 11508040960*x^3 - 18215840*x^4 + 968*x^5 + x^6)^ 2}

{25, (5983 + x)*(4717298699929186939699200 - 4949240844042413015040*x - 2430152439793451008*x^2 + 1192016494038016*x^3 + 244469267456*x^4 - 71968952*x^5 - 4048*x^6 + x^7)^2}

{27, (-16377 + x)* (2503428331487302751197593600 - 1437705298613204201043394560*x - 1069369125648222310629376*x^2 + 136452905739005460480*x^3 + 34320955304116224*x^4 - 2027078599680*x^5 - 334135824*x^6 + 8280*x^7 + x^8)^2}

{29, (25199 + x)*(3075275219412032498942451331891200 + 60914997616257501595623751680*x - 85199767503564619764465664*x^2 - 1945156826142961827840*x^3 + 636210508106502144*x^4 + 9254600697600*x^5 - 1464415656*x^6 - 8640*x^7 + x^8)^2}