Table of coefficients c22a(n) of one of the two rational (plus) weight 22 newforms on Gamma_0(3) for n up to 1000

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{1, 1}
{2, -2844}
{3, -59049}
{4, 5991184}
{5, 3109950}
{6, 167935356}
{7, 363303920}
{8, -11074627008}
{9, 3486784401}
{10, -8844697800}
{11, 14581833156}
{12, -353773424016}
{13, 113350790702}
{14, -1033236348480}
{15, -183639437550}
{16, 18931815702784}
{17, -8589389597982}
{18, -9916414836444}
{19, -29202939273796}
{20, 18632282680800}
{21, -21452733172080}
{22, -41470733495664}
{23, -155899214954280}
{24, 653945650195392}
{25, -467165369200625}
{26, -322369648756488}
{27, -205891132094649}
{28, 2176620632641280}
{29, 2400788707090758}
{30, 522270560392200}
{31, 2239820676947000}
{32, -30616907679636480}
{33, -861042666028644}
{34, 24428224016660808}
{35, 1129857026004000}
{36, 20889966914720784}
{37, -30785069383298890}
{38, 83053159294675824}
{39, -6693250840162398}
{40, -34441536263529600}
{41, -103207571041281030}
{42, 61011573141395520}
{43, -165557270617488124}
{44, 87362445494896704}
{45, 10843725147889950}
{46, 443377367329972320}
{47, -66587216226477408}
{48, -1117904785433692416}
{49, -426556125795917607}
{50, 1328618310006577500}
{51, 507194866371239118}
{52, 679105443641171168}
{53, 435422766592881630}
{54, 585554379677181756}
{55, 45348772023502200}
{56, -4023455404544271360}
{57, 1724404361178380004}
{58, -6827843082966115752}
{59, 5534365798259081316}
{60, -1100217660018559200}
{61, -7176205164722961202}
{62, -6370050005237268000}
{63, 1266762441078151920}
{64, 47371590276161277952}
{65, 352515291543684900}
{66, 2448805342185463536}
{67, -15755449453068299812}
{68, -51460613529196190688}
{69, 9205692743835279720}
{70, -3213313381955376000}
{71, 26457854874259376232}
{72, -38614836698387702208}
{73, 13471249335464801450}
{74, 87552737326102043160}
{75, 27585647885927705625}
{76, -174960182530138214464}
{77, 5297637146360771520}
{78, 19035605389421859912}
{79, -16886125085525986840}
{80, 58877000244873100800}
{81, 12157665459056928801}
{82, 293522332041403249320}
{83, -170687980457962587972}
{84, -128527271736834942720}
{85, -26712572180244120900}
{86, 470844877636136224656}
{87, -141764172365002169142}
{88, -161488363295587477248}
{89, -312592486939587043686}
{90, -30839554320599017800}
{91, 41180786597136151840}
{92, -934020882246643067520}
{93, -132259171153043403000}
{94, 189374042948101748352}
{95, -90819680994541870200}
{96, 1807897781574854507520}
{97, 949014545286007636418}
{98, 1213125621763589674308}
{99, 50843708386325399556}
{100, -2798873685308877290000}
{101, 144797966936465366286}
{102, -1442462199959804051592}
{103, 2196268356005856547616}
{104, -1255317728086524479616}
{105, -66716927528510196000}
{106, -1238342348190155355720}
{107, -163086727234969180908}
{108, -1233531656347347574416}
{109, 224852099648466415214}
{110, -128971907634840256800}
{111, 1817827562014416155610}
{112, 6878002857538982113280}
{113, -4241184922644579319662}
{114, -4904206003191312731376}
{115, -484838763547063086000}
{116, 14383566889302835877472}
{117, 395229768860749439502}
{118, -15739736330248827262704}
{119, -3120558911354084689440}
{120, 2033738274825159350400}
{121, -7187620086068739180875}
{122, 20409127488472101658488}
{123, 6094303862416603540470}
{124, 13419177802594035248000}
{125, -2935800660099292312500}
{126, -3602672382426264060480}
{127, 1663119584635126200968}
{128, -70516493571237671190528}
{129, 9775991272692056234076}
{130, -1002553489150239855600}
{131, 6406626943174785796188}
{132, -5158665044028155474496}
{133, -10609542313692040080320}
{134, 44808498244526244665328}
{135, -640311126257753657550}
{136, 95124286024045719497856}
{137, -19831373582543603686854}
{138, -26180990163467535523680}
{139, -5201431696866569638444}
{140, 6769181336482748736000}
{141, 3931908530957264464992}
{142, -75246139262393666003808}
{143, 1652862318117240115512}
{144, 66011159675074103472384}
{145, 7466332839616902842100}
{146, -38312233110061895323800}
{147, 25187712672123138775743}
{148, -184439015128110176985760}
{149, -74763064725158135311218}
{150, -78453582587578394797500}
{151, 111043915386868322093792}
{152, 323411659994565088282368}
{153, -29949349664355298678782}
{154, -15066480044250034202880}
{155, 6965730314271322650000}
{156, -40100497341567516299232}
{157, 43656275092431663773966}
{158, 48024139743235906572960}
{159, -25711278944543067369870}
{160, -95217052038285470976000}
{161, -56638795917812544777600}
{162, -34576400565557905510044}
{163, 285661055237987043608204}
{164, -618335548301386246439520}
{165, -2677799639215781407800}
{166, 485436616422445600192368}
{167, 266950221434746318563480}
{168, 237581018182934679536640}
{169, -234216127320681783051609}
{170, 75970555280614279839600}
{171, -101824353123222160856196}
{172, -991884070807164968698816}
{173, -228495520456896819906522}
{174, 403177306206066169039848}
{175, -169723009918834328950000}
{176, 276060577918137172706304}
{177, -326798766021400492628484}
{178, 889013032856185552242984}
{179, -12915091594579588230420}
{180, 64966752606435902200800}
{181, -875337691831691541387370}
{182, -117118157082255215832960}
{183, 423747738771726136016898}
{184, 1726525656458666773194240}
{185, -95740026528590382955500}
{186, 376145082759255438132000}
{187, -125249046029655438291192}
{188, -398936264460611823171072}
{189, -74801055383223792724080}
{190, 258291172748477078848800}
{191, 1339614635354755152264576}
{192, -2797245034217047301787648}
{193, -213969872796478791110782}
{194, -2698997366793405717972792}
{195, -20815675450363049660100}
{196, -2555576235970488832376688}
{197, 1428953848040498669654094}
{198, -144599506650709436337264}
{199, 745856081100532126063712}
{200, 5173682214951532995480000}
{201, 930343534754230035598788}
{202, -411805417967307501717384}
{203, 872215948377804177171360}
{204, 3038697768285505863935712}
{205, -320970385559831939248500}
{206, -6246187204480656021419904}
{207, -543586950830729432186280}
{208, 2145936279335106222714368}
{209, -425832388155293074780176}
{210, 189742941891082997424000}
{211, -2650895976765822429305140}
{212, 2608697912447006935549920}
{213, -1562309872470141907123368}
{214, 463818652256252350502352}
{215, -514874833756857191233800}
{216, 2280167492203095427680192}
{217, 813735632031898732240000}
{218, -639479371400238484868616}
{219, -795463802009861060821050}
{220, 271692837366854004604800}
{221, -973614102578793603563364}
{222, -5169901586368999546554840}
{223, 3971736341211046584736712}
{224, -11123242578290037359001600}
{225, -1628904922016145089450625}
{226, 12061929920001183585118728}
{227, -2146895129881716267556980}
{228, 10331223818222131425884736}
{229, 3660235758446474375399846}
{230, 1378881443527847416584000}
{231, -312820175855457197484480}
{232, -26587839456048709653992064}
{233, -2909208944403038650675734}
{234, -1124033462639971405943688}
{235, -207082913103533415009600}
{236, 33157403820677035835118144}
{237, 997108800175223996915160}
{238, 8874869543891016856767360}
{239, -4802244057233268675608016}
{240, -3476627987459511729139200}
{241, 7862626263583078505602706}
{242, 20441591524779494230408500}
{243, -717897987691852588770249}
{244, -42993965563605569586043168}
{245, -1326568223419013961889650}
{246, -17332200184712820469096680}
{247, -3310176257507266269044792}
{248, -24805178561994089184576000}
{249, 10078954558062232857158628}
{250, 8349417077322387336750000}
{251, -19952484830695479792554028}
{252, 7589406868788366532673280}
{253, -2273296341614691128107680}
{254, -4729912098702298915552992}
{255, 1577350674671235095024100}
{256, 101203482425767760486268928}
{257, 13358005454748528162926082}
{258, -27802919179536207929712144}
{259, -11184336384424469268648800}
{260, 2111983974451860273921600}
{261, 8371032613981013085665958}
{262, -18220447026389090804358672}
{263, -5836371575541279170837256}
{264, 9535726364241144944017152}
{265, 1354143032965532225218500}
{266, 30173538340140161988430080}
{267, 18458273761295675342614614}
{268, -94393796676031548740857408}
{269, 53529698495309537385305334}
{270, 1821044843077051402072200}
{271, -10440317510635193014283944}
{272, -162612740868405176558181888}
{273, -2431684267774292630000160}
{274, 56400426468754008885412776}
{275, -6812127469944654840922500}
{276, 55152999075782026493988480}
{277, 31488416345591940289384694}
{278, 14792871745888524051734736}
{279, 7809771797416059903747000}
{280, -12512745135362456716032000}
{281, -11588677110280698813465606}
{282, -11182347862042460138437248}
{283, -48039948855419838692612668}
{284, 158513876796984786731138688}
{285, 5362811343046702893439800}
{286, -4700740432725430888516128}
{287, -37495715132975880020637600}
{288, -106754556104213583814548480}
{289, 4685679752912650697645107}
{290, -21234250595870471682932400}
{291, -56038359884593464922846482}
{292, 80708733478647351010416800}
{293, -79671418853465699676913266}
{294, -71633854839518206678213092}
{295, 17211600914295829938694200}
{296, 340933160835435791330421120}
{297, -3002270136504128518382244}
{298, 212626156078349736825103992}
{299, -17671299284888700779104560}
{300, 165270692243803895097210000}
{301, -60147605399834256002646080}
{302, -315808895360253508034744448}
{303, -8550175149631343413822014}
{304, -552864664311098694335448064}
{305, -22317639252030173190159900}
{306, 85175950445426469442456008}
{307, 151498201886355635293292012}
{308, 31739118909082312558279680}
{309, -129687450153789823280177184}
{310, -19810537013787641616600000}
{311, 141406064525637549460247976}
{312, 74125256525781183996845184}
{313, 49959766526850986323931354}
{314, -124158446362875651773159304}
{315, 3939567853630998563604000}
{316, -101167882434401923940018560}
{317, 181534816900659238926260742}
{318, 73122877318280483599910280}
{319, 35007900369606387305572248}
{320, 147323277179347766366822400}
{321, 9630108156497695163436492}
{322, 161080735590258877347494400}
{323, 250835422828843383467079672}
{324, 72838810775654526921690384}
{325, -52953563987482601422588750}
{326, -812420041096835152021732176}
{327, -13277291632142293351971486}
{328, 1142985353683849577756058240}
{329, -24191396676966850117839360}
{330, 7615662173929682323783200}
{331, 144090009883374727754225972}
{332, -1022623097512058129656438848}
{333, -107340899709389259572614890}
{334, -759206429760418529994537120}
{335, -48998660026569759000329400}
{336, -406139190734819354807070720}
{337, -363050840760190749776987566}
{338, 666110666100018990998775996}
{339, 250437728497239764246721438}
{340, -160039935045123693230145600}
{341, 32660691410600129454732000}
{342, 289588460282443825475021424}
{343, -357891414522914272836526880}
{344, 1833485020551198815169652992}
{345, 28629244148690528165214000}
{346, 649841260179414555814148568}
{347, -70962232684219340553931212}
{348, -849335241246443155728844128}
{349, -703938710640162315443738002}
{350, 482692240209164831533800000}
{351, -23337922621458393653153598}
{352, -446450639537114250091130880}
{353, -108084659925007045398399678}
{354, 929415690564863001035408496}
{355, 82282605766202947112708400}
{356, -1872799106272662862738864224}
{357, 184265883156547346826742560}
{358, 36730520494984348927314480}
{359, -167492452351415878588271544}
{360, -120090211390150834481769600}
{361, 138602166535643642178493197}
{362, 2489460395569330743705680280}
{363, 424421778462272979891487875}
{364, 246721669768176558725378560}
{365, 41894911870828759269427500}
{366, -1205138569066789130832057912}
{367, 983666535205578900964365224}
{368, -2951455205723136300628715520}
{369, -359862548771838022461213030}
{370, 272284635447311049125442000}
{371, 158190797960438940274989600}
{372, -792389030065375187359152000}
{373, 100058104077546946723970726}
{374, 356208286908340066500150048}
{375, 173356093178203111760812500}
{376, 737428583209282547338635264}
{377, 272131298257169693376532116}
{378, 212734201509888466507283520}
{379, 92390491245979816211211860}
{380, -544117419659603340072316800}
{381, -98205548353119567040959432}
{382, -3809864022948923653040454144}
{383, -2136767846148989664959287296}
{384, 4163928428888013246129487872}
{385, 16475386643324681388624000}
{386, 608530318233185681919064008}
{387, -577262508661193228565953724}
{388, 5685720759484804375185338912}
{389, -1255811170851210818438210754}
{390, 59199780980832513233324400}
{391, 1339079095261852491710262960}
{392, 4723949991167314626624929856}
{393, -378304914367527926479105212}
{394, -4063944743827178216496243336}
{395, -52515004709731542773058000}
{396, 304614012184818552613514304}
{397, 1781653326478219686924040862}
{398, -2121214694649913366525196928}
{399, 626482864081201274702815680}
{400, -8844288672429277212667040000}
{401, 1401814892561044434767028738}
{402, -2645897012841030221242953072}
{403, 253885444762631353346794000}
{404, 867511262742280319046822624}
{405, 37809731694394095724669950}
{406, -2480582157186475079875347840}
{407, -448902745443148226859996840}
{408, -5616993965433875690628898944}
{409, 2174932516355163800770892186}
{410, 912839776532162035222734000}
{411, 1171022778675617254105041846}
{412, 13158247834208591654372217344}
{413, 2010656789221453417701558720}
{414, 1545961288162594505137780320}
{415, -530831084825240750463521400}
{416, -3470450694336931111924008960}
{417, 307139340268274070580479756}
{418, 1211067311913653504674820544}
{419, -6076361497487251720591607796}
{420, -399713388737969830112064000}
{421, -1899928366540988390282852026}
{422, 7539148157921998988943818160}
{423, -232175266844495509393312608}
{424, -4822144730807607040145063040}
{425, 4012665362749268973453138750}
{426, 4443209277305083583858858592}
{427, -2607143467068097518694511840}
{428, -977082590822511597149115072}
{429, -97599867022504911580868088}
{430, 1464304027204501851868927200}
{431, -8085722813462985686605440}
{432, -3897892967653450735940802816}
{433, -5604390904391624719433122126}
{434, -2314264137498719994490560000}
{435, -440879487846538495923162900}
{436, 1347130301780297611367473376}
{437, 4552715307142308086542046880}
{438, 2262299052916044856975066200}
{439, -8511100637744858839564701040}
{440, -502220735431112274867417600}
{441, -1487309245576199221568848407}
{442, 2768958507734089008534207216}
{443, -6631336547663318692888265388}
{444, 10890939404299777840832142240}
{445, -972147004757768726511275700}
{446, -11295618154404216486991208928}
{447, 4414684208955862731992111682}
{448, 17210284443963274832171171840}
{449, 13039379624751340181607258642}
{450, 4632605598213916634397577500}
{451, -1504955581359977167967830680}
{452, -25409719249589441306689859808}
{453, -6557032159679187551316323808}
{454, 6105769749383601064932051120}
{455, 128070187277763575414808000}
{456, -19097135111019073897985548032}
{457, 4729487013042004789030728650}
{458, -10409710497021773123637162024}
{459, 1768479148330516031683398318}
{460, -2904758242742947607833824000}
{461, 4927221610561934308538950662}
{462, 889660580132920269645861120}
{463, 12020710853915829658701459416}
{464, 45451289343967309389841270272}
{465, -411319409327407331159850000}
{466, 8273790237882241922521787496}
{467, 10996896998656579124138231772}
{468, 2367894267522220269953350368}
{469, -5724016547661569349434863040}
{470, 588943804866449032287302400}
{471, -2577859387932997314188918334}
{472, -61291036941551501323441782528}
{473, -2414128497906952919979439344}
{474, -2835777427698337047226715040}
{475, 13642601907586340062529322500}
{476, -18695842620762010526017896960}
{477, 1518225310396323585123453630}
{478, 13657582098771416113429197504}
{479, -13271725522850033768588529840}
{480, 5622471705808718775661824000}
{481, -3489511956412860694698920780}
{482, -22361309093630275269934095864}
{483, 3344464260150912956572502400}
{484, -43062354457733653080631406000}
{485, 2951387785112219448878159100}
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