Characteristic polynomials of the Hecke operator T2 on Gamma0(3) for weights up to 74

Level 3, Rational newforms page

{6, 6 + x}

{8, -6 + x}

{10, (-18 + x)*(36 + x)}

{12, -78 + x}

{14, (12 + x)*(-16992 + 54*x + x^2)}

{16, (72 + x)*(234 + x)}

{18, (-204 + x)*(-42912 - 594*x + x^2)}

{20, (1104 + x)*(-664128 - 702*x + x^2)}

{22, (-1728 + x)*(2844 + x)*(-2464992 - 666*x + x^2)}

{24, (-1128 + x)*(-4387968 + 1242*x + x^2)}

{26, (-46305792 + 324*x + x^2)* (-172099067904 - 88941600*x + 3678*x^2 + x^3)}

{28, (-2628288 - 21582*x + x^2)*(-131632128 - 3168*x + x^2)}

{30, (371075328 + 45036*x + x^2)* (16598475030528 - 1793148768*x - 11370*x^2 + x^3)}

{32, (-1265568768 + 39528*x + x^2)* (23763162267648 - 5301561600*x + 7626*x^2 + x^3)}

{34, (947456640811008 - 10847167488*x - 136620*x^2 + x^3)* (-124253441040384 - 11482365600*x - 41202*x^2 + x^3)}

{36, (-61076072448 + 60912*x + x^2)* (2419568332406784 - 63970719552*x + 87330*x^2 + x^3)}

{38, (-52089706281959424 - 327064838400*x + 310908*x^2 + x^3)* (9748851418544266543104 + 95113282115764224*x - 352197132768*x^2 - 437562*x^3 + x^4)}

{40, (325448454458769408 - 1161004440960*x - 533574*x^2 + x^3)* (-328967845897568256 - 714859333632*x + 1107000*x^2 + x^3)}

{42, (-956096849530847232 - 2129531401728*x + 289380*x^2 + x^3)* (7858870206246628249042944 - 2484749039974539264*x - 7072082749728*x^2 + 69822*x^3 + x^4)}

{44, (8448203181300645888 - 508269450240*x - 4857024*x^2 + x^3)* (120901670049507055201419264 + 17064803544699174912*x - 30881238086592*x^2 - 1660014*x^3 + x^4)}

{46, (1229183068335614137177473024 - 388659694534929432576*x - 114405332339808*x^2 + 4803318*x^3 + x^4)* (538006485563675795609616384 - 560922859948884885504*x - 99768200940288*x^2 + 7019532*x^3 + x^4)}

{48, (-1925029418607298215936 - 175330654958592*x + 15384840*x^2 + x^3)* (13249384769307626304505380864 + 3043801482633498820608*x - 303446641807872*x^2 - 12202326*x^3 + x^4)}

{50, (252819172623211613818699382784 - 2754202492427967922176*x - 1964231665993728*x^2 + 6107508*x^3 + x^4)* (-487785994244574379507283945305669632 - 120277642195082461268498448384*x + 53911733063304087429120*x^2 - 1349045496038304*x^3 - 37780626*x^4 + x^5)}

{52, (2397690547746572894259992592384 - 129921877211331220733952*x - 6364625167060992*x^2 + 7914384*x^3 + x^4)* (2514086217255450735422465900544 - 14766746307528752529408*x - 3892038003150912*x^2 + 24043266*x^3 + x^4)}

{54, (53221916022726019709847799332864 + 1556922888772608560726016*x - 24189789415396608*x^2 - 80430948*x^3 + x^4)* (-2623597957175139786032878762030956281856 + 264267847657716155749536595181568*x - 44524888798193979162624*x^2 - 40349115329292000*x^3 + 10587174*x^4 + x^5)}

{56, (-91706740793192803994658737750016 - 13600326706211320724717568*x - 65222612061622272*x^2 + 228925656*x^3 + x^4)* (489479944222591493838736638970298426720256 + 5030133043487566411116231090241536*x - 11634518830447643690926080*x^2 - 170038269034874496*x^3 + 54101658*x^4 + x^5)}

{58, (-12539375306511280815545291637531951929229312 + 19439925771825960927881189105074176*x + 223860317543915910155182080*x^2 - 431923066930089504*x^3 - 554301666*x^4 + x^5)*(-908871685719657984256612542361422985691136 + 23746428234180594744693098847141888*x - 116107183214812322897854464*x^2 - 398946973441743360*x^3 + 387248004*x^4 + x^5)}

{60, (46905670612673789377476130844442624 + 361590233942491235748937728*x - 1225024196162706432*x^2 - 194347296*x^3 + x^4)* (-152372065581905032467407426306265109455962112 + 467095972316836055314791327583961088*x + 1280863417057957630925733888*x^2 - 1370931563994713280*x^3 - 1241907342*x^4 + x^5)}

{62, (763328772720437094429312544709386492862005248 + 17015040539407997744100077591599251456*x - 4796127866159030152373207040*x^2 - 8267725288414658304*x^3 + 1129169964*x^4 + x^5)*(2743945534280118560458372349692407667527876277\ 438513152 + 20070893833563845343068613604116789945232785408*x + 9097022332018914214173864138947690496*x^2 - 15919125349655800310157656064*x^3 - 7810690554403721568*x^4 + 2237195862*x^5 + x^6)}

{64, (-681697737398796918628334646654939525882316849152 + 421268780514887902260020471763774210048*x + 71481908137474517371944173568*x^2 - 44220493493998525440*x^3 - 1604947032*x^4 + x^5)*(-16493261180820624795551224219196350576075997\ 184 + 158889555410084623560286945234592464896*x - 8169446494164808073209282560*x^2 - 32877693978636761856*x^3 + 472093578*x^4 + x^5)}

{66, (-1595311185980926351953055857895142517187591274496 + 2167789631805666343516338086636502908928*x - 232591594918258738500691820544*x^2 - 134366972888195066880*x^3 + 2586530964*x^4 + x^5)*(-76076449320166365769677908193681613478410509\ 61143448731648 - 9645327324458347984104821545820662684339465617408*x + 4126673590029034467832160724039128580096*x^2 + 540831746812454437578247102464*x^3 - 137062762295272491168*x^4 - 6210982962*x^5 + x^6)}

{68, (76587534178613500902724649685949865805676749520896 - 2907488578277274989701398473183198183424*x - 5058938091171222191449571328000*x^2 - 330681713908949415936*x^3 + 16255223088*x^4 + x^5)*(-2739442017830665837854469580689898680384405\ 858637984198295552 - 639286706272607057991608599171028059257678902329344*x + 70312235829586636677184506424214836740096*x^2 + 7406535800651691299215912501248*x^3 - 578960531260077402432*x^4 - 13735355166*x^5 + x^6)}

{70, (-113121442007628686798358125032318089565793873411738238418157568 - 14077853202888839713141591629451255592483581499277312*x + 1803690772240817713454182406905306583924736*x^2 + 39533273122153967193541897322496*x^3 - 2684631768650366766048*x^4 - 19700962938*x^5 + x^6)*(-3183778576417017893336793054588748267592103\ 8467167841155022848 + 3278090671809876019647849965937037174579399325908992* x + 1261437359572214267031167076971027990839296*x^2 - 11470682674779192812132596187136*x^3 - 2456117855400166541568*x^4 + 869363388*x^5 + x^6)}

{72, (119741483300112807401186863881782060036035467351687168 + 7003108178127210805457195001727271533805568*x - 79059818345080288430276342710272*x^2 - 6542824578150049781760*x^3 + 25051277688*x^4 + x^5)*(-7261183311316198792411294541921719087346458\ 571723891754582147072 + 790795971413844300239082218573858376597253722256441\ 344*x + 20358820899546166791590064113337885876289536*x^2 - 590882481517639453480936805695488*x^3 - 9583081339713516646272*x^4 + 72903656826*x^5 + x^6)}

{74, (-11890558356979501743475667768172331124918414061721583927571020513\ 28 - 5742117150154525766490435132263675133739285063843971072*x + 466211839765399406037446829644460981491859456*x^2 + 1863649135087385399312259626827776*x^3 - 42835152076236243353088*x^4 - 71256829788*x^5 + x^6)* (16880163091654019254416206802944684568505700799840523991518973398271029\ 3069824 - 49067026528443592831690602791194539871241683199365540036172253757\ 44*x - 38798028864503752522035313507910893700266868861048979456*x^2 + 1007271773194424339865379703875148345889521664*x^3 + 2534520562076601808474642133557248*x^4 - 59248859017996449575712*x^5 - 44202360450*x^6 + x^7)}