Table of coefficients c12(n) of the (plus) weight 12 newform on Gamma_0(3) for n up to 1000

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{1, 1}
{2, 78}
{3, -243}
{4, 4036}
{5, -5370}
{6, -18954}
{7, -27760}
{8, 155064}
{9, 59049}
{10, -418860}
{11, 637836}
{12, -980748}
{13, 766214}
{14, -2165280}
{15, 1304910}
{16, 3829264}
{17, 3084354}
{18, 4605822}
{19, -19511404}
{20, -21673320}
{21, 6745680}
{22, 49751208}
{23, 15312360}
{24, -37680552}
{25, -19991225}
{26, 59764692}
{27, -14348907}
{28, -112039360}
{29, 10751262}
{30, 101782980}
{31, -50937400}
{32, -18888480}
{33, -154994148}
{34, 240579612}
{35, 149071200}
{36, 238321764}
{37, 664740830}
{38, -1521889512}
{39, -186190002}
{40, -832693680}
{41, 898833450}
{42, 526163040}
{43, -957947188}
{44, 2574306096}
{45, -317093130}
{46, 1194364080}
{47, -1555741344}
{48, -930511152}
{49, -1206709143}
{50, -1559315550}
{51, -749498022}
{52, 3092439704}
{53, 3792417030}
{54, -1119214746}
{55, -3425179320}
{56, -4304576640}
{57, 4741271172}
{58, 838598436}
{59, 555306924}
{60, 5266616760}
{61, 4950420998}
{62, -3973117200}
{63, -1639200240}
{64, -9315634112}
{65, -4114569180}
{66, -12089543544}
{67, 5292399284}
{68, 12448452744}
{69, -3720903480}
{70, 11627553600}
{71, -14831086248}
{72, 9156374136}
{73, 13971005210}
{74, 51849784740}
{75, 4857867675}
{76, -78748026544}
{77, -17706327360}
{78, -14522820156}
{79, 3720542360}
{80, -20563147680}
{81, 3486784401}
{82, 70109009100}
{83, 8768454036}
{84, 27225564480}
{85, -16562980980}
{86, -74719880664}
{87, -2612556666}
{88, 98905401504}
{89, -25472769174}
{90, -24733264140}
{91, -21270100640}
{92, 61800684960}
{93, 12377788200}
{94, -121347824832}
{95, 104776239480}
{96, 4589900640}
{97, -39092494846}
{98, -94123313154}
{99, 37663577964}
{100, -80684584100}
{101, 9310781526}
{102, -58460845716}
{103, 48575052512}
{104, 118812207696}
{105, -36224301600}
{106, 295808528340}
{107, 225595713276}
{108, -57912188652}
{109, -69451179514}
{110, -267163986960}
{111, -161532021690}
{112, -106300368640}
{113, -359664575694}
{114, 369819151416}
{115, -82227373200}
{116, 43392093432}
{117, 45244170486}
{118, 43313940072}
{119, -85621667040}
{120, 202344564240}
{121, 121523092285}
{122, 386132837844}
{123, -218416528350}
{124, -205583346400}
{125, 369559909500}
{126, -127857618720}
{127, 250273055864}
{128, -687935853696}
{129, 232781166684}
{130, -320936396040}
{131, -97891780812}
{132, -625556381328}
{133, 541636575040}
{134, 412807144152}
{135, 77053630590}
{136, 478272268656}
{137, -155014706262}
{138, -290230471440}
{139, -1126265370436}
{140, 601651363200}
{141, 378045146592}
{142, -1156824727344}
{143, 488718872904}
{144, 226114209936}
{145, -57734276940}
{146, 1089738406380}
{147, 293230321749}
{148, 2682893989880}
{149, -1384580812362}
{150, 378913678650}
{151, -698601450208}
{152, -3025516349856}
{153, 182128019346}
{154, -1381093534080}
{155, 273533838000}
{156, -751462848072}
{157, 2131269853958}
{158, 290202304080}
{159, -921557338290}
{160, 101431137600}
{161, -425071113600}
{162, 271969183278}
{163, -163564486972}
{164, 3627691804200}
{165, 832318574760}
{166, 683939414808}
{167, -8809425240}
{168, 1046012123520}
{169, -1205076500241}
{170, -1291912516440}
{171, -1152128894796}
{172, -3866274850768}
{173, -730851575394}
{174, -203779419948}
{175, 554956406000}
{176, 2442442432704}
{177, -134939582532}
{178, -1986875995572}
{179, 3923714421540}
{180, -1279787872680}
{181, 2279308973150}
{182, -1659067849920}
{183, -1202952302514}
{184, 2374395791040}
{185, -3569658257100}
{186, 965467479600}
{187, 1967312017944}
{188, -6278972064384}
{189, 398325658320}
{190, 8172546679440}
{191, 3387088726656}
{192, 2263699089216}
{193, -4929207776254}
{194, -3049214597988}
{195, 999840310740}
{196, -4870278101148}
{197, 6357850272342}
{198, 2937759081192}
{199, -3785535410272}
{200, -3099919313400}
{201, -1286053026012}
{202, 726240959028}
{203, -298455033120}
{204, -3024974016792}
{205, -4826735626500}
{206, 3788854095936}
{207, 904179545640}
{208, 2934035686496}
{209, -12445075881744}
{210, -2825495524800}
{211, 179493837380}
{212, 15306195133080}
{213, 3603953958264}
{214, 17596465635528}
{215, 5144176399560}
{216, -2224998915048}
{217, 1414022224000}
{218, -5417192002092}
{219, -3394954266030}
{220, -13824023735520}
{221, 2363275215756}
{222, -12599497691820}
{223, 2225684379704}
{224, 524344204800}
{225, -1180461845025}
{226, -28053836904132}
{227, -415847834940}
{228, 19135770450192}
{229, 18124772488334}
{230, -6413735109600}
{231, 4302637548480}
{232, 1667133690768}
{233, -18764059878}
{234, 3529045297908}
{235, 8354331017280}
{236, 2241218745264}
{237, -904091793480}
{238, -6678490029120}
{239, -17625242631984}
{240, 4996844886240}
{241, -890116982734}
{242, 9478801198230}
{243, -847288609443}
{244, 19979899147928}
{245, 6480028097910}
{246, -17036489211300}
{247, -14949910904456}
{248, -7898556993600}
{249, -2130734330748}
{250, 28825672941000}
{251, -24228041356548}
{252, -6615812168640}
{253, 9766774452960}
{254, 19521298357392}
{255, 4024804378140}
{256, -34580577926912}
{257, 7804917351426}
{258, 18156931001352}
{259, -18453205440800}
{260, -16606401210480}
{261, 634851269838}
{262, -7635558903336}
{263, 16595574775368}
{264, -24034012565472}
{265, -20365279451100}
{266, 42247652853120}
{267, 6189882909282}
{268, 21360123510224}
{269, 28523590257006}
{270, 6010183186020}
{271, 23379994087976}
{272, 11810805735456}
{273, 5168634455520}
{274, -12091147088436}
{275, -12751122989100}
{276, -15017566445280}
{277, -30364120269058}
{278, -87848698894008}
{279, -3007802532600}
{280, 23115576556800}
{281, 15974859435594}
{282, 29487521434176}
{283, 28704507156044}
{284, -59858264096928}
{285, -25460626193640}
{286, 38120072086512}
{287, -24951616572000}
{288, -1115345855520}
{289, -24758656710317}
{290, -4503273601320}
{291, 9499476247578}
{292, 56386977027560}
{293, 48175396168278}
{294, 22871965096422}
{295, -2981998181880}
{296, 103077372063120}
{297, -9152249445252}
{298, -107997303364236}
{299, 11732544605040}
{300, 19606353936300}
{301, 26592613938880}
{302, -54490913116224}
{303, -2262519910818}
{304, -74714316926656}
{305, -26583760759260}
{306, 14205985508988}
{307, 25735029040676}
{308, -71462737224960}
{309, -11803737760416}
{310, 21335639364000}
{311, 34604265524376}
{312, -28871366470128}
{313, 12606588910058}
{314, 166239048608724}
{315, 8802505288800}
{316, 15016108964960}
{317, -81824296913634}
{318, -71881472386620}
{319, 6857541949032}
{320, 50024955181440}
{321, -54819758326068}
{322, -33155546860800}
{323, -60180076973016}
{324, 14072661842436}
{325, -15317556472150}
{326, -12758029983816}
{327, 16876636621902}
{328, 139376710090800}
{329, 43187379709440}
{330, 64920848831280}
{331, -34011469184548}
{332, 35389480489296}
{333, 39252281270670}
{334, -687135168720}
{335, -28420184155080}
{336, 25830989579520}
{337, -59943948292558}
{338, -93995967018798}
{339, 87398491893642}
{340, -66848191235280}
{341, -32489707466400}
{342, -89866053794088}
{343, 88388836195360}
{344, -148543122760032}
{345, 19981251687600}
{346, -57006422880732}
{347, 97868505351324}
{348, -10544278703976}
{349, -142789606547098}
{350, 43286599668000}
{351, -10994333428098}
{352, -12047752529280}
{353, 144245920772994}
{354, -10525287437496}
{355, 79642933151760}
{356, -102808096386264}
{357, 20806065090720}
{358, 306049724880120}
{359, -124349284943496}
{360, -49169729110320}
{361, 264204627152997}
{362, 177786099905700}
{363, -29530111425255}
{364, -85846126183040}
{365, -75024297977700}
{366, -93830279596092}
{367, -160109534089768}
{368, 58635068903040}
{369, 53075216389050}
{370, -278433344053800}
{371, -105277496752800}
{372, 49956753175200}
{373, -34725822875218}
{374, 153450337399632}
{375, -89803058008500}
{376, -241239475766016}
{377, 8237767462068}
{378, 31069401348960}
{379, -146500203674500}
{380, 422876902541280}
{381, -60816352574952}
{382, 264192920679168}
{383, 64341851639808}
{384, 167168412448128}
{385, 95082977923200}
{386, -384478206547812}
{387, -56565823504212}
{388, -157777309198456}
{389, -39890033609466}
{390, 77987544237720}
{391, 47228738815440}
{392, -187117146550152}
{393, 23787702737316}
{394, 495912321242676}
{395, -19979312473200}
{396, 152010200662704}
{397, 106551979242806}
{398, -295271762001216}
{399, -131617687734720}
{400, -76551678208400}
{401, 34144491481698}
{402, -100312136028936}
{403, -39028949003600}
{404, 37578314238936}
{405, -18724032233370}
{406, -23279492583360}
{407, 423995632043880}
{408, -116220161283408}
{409, 53334901088234}
{410, -376485378867000}
{411, 37668573621666}
{412, 196048911938432}
{413, -15415320210240}
{414, 70526004559920}
{415, -47086598173320}
{416, -14472617814720}
{417, 273682485015948}
{418, -970715918776032}
{419, -101287654153404}
{420, -146201281257600}
{421, -157928472303826}
{422, 14000519315640}
{423, -91864970621856}
{424, 588067354339920}
{425, -61660014793650}
{426, 281108408744592}
{427, -137423686904480}
{428, 910504298781936}
{429, -118758686115672}
{430, 401245759165680}
{431, 513171359936640}
{432, -54945753014448}
{433, -74924767954222}
{434, 110293733472000}
{435, 14029429296420}
{436, -280304960518504}
{437, -298765642153440}
{438, -264806432750340}
{439, -368335241090320}
{440, -531122006076480}
{441, -71254968185007}
{442, 184335466828968}
{443, -111247830230916}
{444, -651943239540840}
{445, 136788770464380}
{446, 173603381616912}
{447, 336453137403966}
{448, 258602002949120}
{449, -88331413841262}
{450, -92076023911950}
{451, 573308332414200}
{452, -1451606227500984}
{453, 169760152400544}
{454, -32436131125320}
{455, 114220440436800}
{456, 735200473015008}
{457, -9420937722310}
{458, 1413732254090052}
{459, -44257108701078}
{460, -331869678235200}
{461, -697133548616898}
{462, 335605728781440}
{463, -187941271733848}
{464, 41169420531168}
{465, -66468722634000}
{466, -1463596670484}
{467, 320006635626996}
{468, 182605472081496}
{469, -146917004123840}
{470, 651637819347840}
{471, -517898574511794}
{472, 86108112863136}
{473, -611013202605168}
{474, -70519159891440}
{475, 390056867429900}
{476, -345569048173440}
{477, 223938433204470}
{478, -1374768925294752}
{479, -150382370364240}
{480, -24647766436800}
{481, 509333730317620}
{482, -69429124653252}
{483, 103292280604800}
{484, 490467200462260}
{485, 209926697323020}
{486, -66088511536554}
{487, 176546273555504}
{488, 767632081633872}
{489, 39746170334196}
{490, 505442191636980}
{491, -860958181676292}
{492, -881529108420600}
{493, 33160697954748}
{494, -1166093050547568}
{495, -202253413666680}
{496, -195052752073600}
{497, 411710954244480}
{498, -166197277798344}
{499, 601209457412516}
{500, 1491543794742000}
{501, 2140690333320}
{502, -1889787225810744}
{503, 1092030351829704}
{504, -254180946015360}
{505, -49998896794620}
{506, 761808407330880}
{507, 292833589558563}
{508, 1010102053467104}
{509, 876371101334814}
{510, 313934741494920}
{511, -387835104629600}
{512, -1288392449929728}
{513, 279967321435428}
{514, 608783553411228}
{515, -260848031989440}
{516, 939504788736624}
{517, -992307835891584}
{518, -1439350024382400}
{519, 177596932820742}
{520, -638021555327520}
{521, -371989239852150}
{522, 49518399047364}
{523, -973507481712628}
{524, -395091227357232}
{525, -134854406658000}
{526, 1294454832478704}
{527, -157108973439600}
{528, -593513511147072}
{529, -718341389144327}
{530, -1588491797185800}
{531, 32790318555276}
{532, 2186045216861440}
{533, 688698773058300}
{534, 482810866923996}
{535, -1211448980292120}
{536, 820660602574176}
{537, -953462604434220}
{538, 2224840040046468}
{539, -769682532934548}
{540, 310988453061240}
{541, 1746062781765590}
{542, 1823639538862128}
{543, -553872080475450}
{544, -58258758841920}
{545, 372952833990180}
{546, 403153487530560}
{547, 174624425985380}
{548, -625639354473432}
{549, 292317409510902}
{550, -994587593149800}
{551, -209772216391848}
{552, -576978177222720}
{553, -103282255913600}
{554, -2368401380986524}
{555, 867426956475300}
{556, -4545607035079696}
{557, 1583649005842494}
{558, -234608597542800}
{559, -733992546706232}
{560, 570832979596800}
{561, -478056820360392}
{562, 1246039035976332}
{563, -975797917848204}
{564, 1525790211645312}
{565, 1931398771476780}
{566, 2238951558171432}
{567, -96793134971760}
{568, -2299767557959872}
{569, 1924274391870426}
{570, -1985928843103920}
{571, 1611320399461196}
{572, 1972469371040544}
{573, -823062560577408}
{574, -1946226092616000}
{575, -306112834041000}
{576, -550078878679488}
{577, -2532503285394046}
{578, -1931175223404726}
{579, 1197797489629722}
{580, -233015541729840}
{581, -243412284039360}
{582, 740959147311084}
{583, 2418940108747080}
{584, 2166399951883440}
{585, -242961195509820}
{586, 3757680901125684}
{587, -3115075841122404}
{588, 1183477578578964}
{589, 993860190109600}
{590, -232595858186640}
{591, -1544957616179106}
{592, 2545468129649120}
{593, -2207230435400238}
{594, -713875456729656}
{595, 459788352004800}
{596, -5588168158693032}
{597, 919885104696096}
{598, 915138479193120}
{599, 3411585709398408}
{600, 753280393156200}
{601, -1575452477398774}
{602, 2074223887232640}
{603, 312510885320916}
{604, -2819555453039488}
{605, -652579005570450}
{606, -176476553043804}
{607, -505592119502056}
{608, 368540764225920}
{609, 72524573048160}
{610, -2073533339222280}
{611, -1192030798151616}
{612, 735068686080456}
{613, -1983747166907074}
{614, 2007332265172728}
{615, 1172896757239500}
{616, -2745613945751040}
{617, -1930986428345862}
{618, -920691545312448}
{619, 947688701475164}
{620, 1103982570168000}
{621, -219715629590520}
{622, 2699132710901328}
{623, 707124072270240}
{624, -712970671818528}
{625, -1008402680811875}
{626, 983313934984524}
{627, 3024153439263792}
{628, 8601805130574488}
{629, 2050296037973820}
{630, 686595412526400}
{631, 1005926522765312}
{632, 576922180511040}
{633, -43617002483340}
{634, -6382295159263452}
{635, -1343966309989680}
{636, -3719405417338440}
{637, -924597439294602}
{638, 534888272024496}
{639, -875760811858152}
{640, 3694215534347520}
{641, 1131443807632530}
{642, -4275941149433304}
{643, -868305558659068}
{644, -1715587014489600}
{645, -1250034865093080}
{646, -4694046003895248}
{647, -1376364875369256}
{648, 540674736356664}
{649, 354194747176464}
{650, -1194769404827700}
{651, -343607400432000}
{652, -660146269418992}
{653, 2552758540391838}
{654, 1316377656508356}
{655, 525678862960440}
{656, 3441870572080800}
{657, 824973886645290}
{658, 3368615617336320}
{659, 926792107209060}
{660, 3359237767731360}
{661, -1903318977724498}
{662, -2652894596394744}
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