Table of coefficients c37(n) of the rational weight 37 newform on (Gamma0(3),chi4) for n up to 1000

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{1, 1}
{2, -262144}
{3, 0}
{4, 68719476736}
{5, -4228490555534}
{6, 0}
{7, 0}
{8, -18014398509481984}
{9, 150094635296999121}
{10, 1108473428189904896}
{11, 0}
{12, 0}
{13, -152935864759452674158}
{14, 0}
{15, 0}
{16, 4722366482869645213696}
{17, -23125093646441048317118}
{18, -39346408075296537575424}
{19, 0}
{20, -290579658359414429057024}
{21, 0}
{22, 0}
{23, 0}
{24, 0}
{25, 3328217149873384131384531}
{26, 40091219331501961814474752}
{27, 0}
{28, 0}
{29, 178879349123443365836288722}
{30, 0}
{31, 0}
{32, -1237940039285380274899124224}
{33, 0}
{34, 6062104548852642170042580992}
{35, 0}
{36, 10314424798490535546171949056}
{37, 31870691915293393072612781042}
{38, 0}
{39, 0}
{40, 76173713960970336090724499456}
{41, 142745614735837791048783844642}
{42, 0}
{43, 0}
{44, 0}
{45, -634673747789680938240399685614}
{46, 0}
{47, 0}
{48, 0}
{49, 2651730845859653471779023381601}
{50, -872472156536408409737666494464}
{51, 0}
{52, -10509672600437250277893669388288}
{53, -18046568200945234989160879491278}
{54, 0}
{55, 0}
{56, 0}
{57, 0}
{58, -46892148096615937693788070739968}
{59, 0}
{60, 0}
{61, 271467758018404231546709127105362}
{62, 0}
{63, 0}
{64, 324518553658426726783156020576256}
{65, 646687859737770731428143305690372}
{66, 0}
{67, 0}
{68, -1589144334854427029023642351566848}
{69, 0}
{70, 0}
{71, 0}
{72, -2703864574375502950215699413336064}
{73, 6512963410113083479146903535884962}
{74, -8354710661442671233627004873474048}
{75, 0}
{76, 0}
{77, 0}
{78, 0}
{79, 0}
{80, -19968482072584607784166883185393664}
{81, 22528399544939174411840147874772641}
{82, -37419906429311461896692392169832448}
{83, 0}
{84, 0}
{85, 97784240079815282180431627621831012}
{86, 0}
{87, 0}
{88, 0}
{89, 75073270510125487261136916910657762}
{90, 166375914940578119874091335185596416}
{91, 0}
{92, 0}
{93, 0}
{94, 0}
{95, 0}
{96, 0}
{97, -918873327359871231451163027078417278}
{98, -695135330857032999706040305346412544}
{99, 0}
{100, 228713341003080246162270845524770816}
{101, -2157785698174447918962288946406025998}
{102, 0}
{103, 0}
{104, 2755047614169022536848158068123369472}
{105, 0}
{106, 4730799574468587680998589593361580032}
{107, 0}
{108, 0}
{109, -4548905491112756262656582795527595758}
{110, 0}
{111, 0}
{112, 0}
{113, 13265562396333407802600311984183483842}
{114, 0}
{115, 0}
{116, 12292495270639288370800380016058171392}
{117, -22954852844901229330451262996025415118}
{118, 0}
{119, 0}
{120, 0}
{121, 30912680532870672635673352936887453361}
{122, -71163643957976558874580517415908016128}
{123, 0}
{124, 0}
{125, 47459301323074731467933712423778924196}
{126, 0}
{127, 0}
{128, -85070591730234615865843651857942052864}
{129, 0}
{130, -169525342303098170619499198726896877568}
{131, 0}
{132, 0}
{133, 0}
{134, 0}
{135, 0}
{136, 416584652516078919096373700609139802112}
{137, 578063753621635483982848747988516923042}
{138, 0}
{139, 0}
{140, 0}
{141, 0}
{142, 0}
{143, 0}
{144, 708801874985091845381344307009569161216}
{145, -756389638348549373948075294586598887548}
{146, -1707334280180684155557485880511027478528}
{147, 0}
{148, 2190137271633227607867917565551980838912}
{149, -2620458995041023953592247255774938110798}
{150, 0}
{151, 0}
{152, 0}
{153, -3470952497071520682210866590432575253278}
{154, 0}
{155, 0}
{156, 0}
{157, 4315978749476478271553726275165167637202}
{158, 0}
{159, 0}
{160, 5234617764435619422972643425751836655616}
{161, 0}
{162, -5905684770308534937017423724484399202304}
{163, 0}
{164, 9809403951005423867446530452968557248512}
{165, 0}
{166, 0}
{167, 0}
{168, 0}
{169, 10743160176991251171427280228775864598323}
{170, -25633551831483097331907068591297268809728}
{171, 0}
{172, 0}
{173, 27182857049608756506488554942371316562962}
{174, 0}
{175, 0}
{176, 0}
{177, 0}
{178, -19680007424606335732583475946627468361728}
{179, 0}
{180, -43614447846182910656273798970892986875904}
{181, 27530971260816321833666019207196109759282}
{182, 0}
{183, 0}
{184, 0}
{185, -134764919762151922144212245709155283386428}
{186, 0}
{187, 0}
{188, 0}
{189, 0}
{190, 0}
{191, 0}
{192, 0}
{193, 272520786033155285801805689036759899353602}
{194, 240877129527426084097533680570444618924032}
{195, 0}
{196, 182225556172186058674940229804729969934336}
{197, -335287588396157924144008150378148860155278}
{198, 0}
{199, 0}
{200, -59955830063911468049962328529245520789504}
{201, 0}
{202, 565650574062242475268450273566661279219712}
{203, 0}
{204, 0}
{205, -603598483754385077730783411725334929348828}
{206, 0}
{207, 0}
{208, -722219201768724243899523548610132566867968}
{209, 0}
{210, 0}
{211, 0}
{212, -1240150723649493449047694270362178035908608}
{213, 0}
{214, 0}
{215, 0}
{216, 0}
{217, 0}
{218, 1192468281062262377717847240350786062385152}
{219, 0}
{220, 0}
{221, 3536656194461786459388016843888150707636644}
{222, 0}
{223, 0}
{224, 0}
{225, 499547539299463455424473573407739219997251}
{226, -3477487588824424855004856184781795188277248}
{227, 0}
{228, 0}
{229, 356519053472004041253782171607726870420722}
{230, 0}
{231, 0}
{232, -3222403880226465610675094818929553281384448}
{233, 4357308175510110527129965654004382309666082}
{234, 6017476944173787861601815886830086420692992}
{235, 0}
{236, 0}
{237, 0}
{238, 0}
{239, 0}
{240, 0}
{241, -15029115244286962338218269332767404289367358}
{242, -8103573725608849607405955432287424573865984}
{243, 0}
{244, 18655122281719807049618035157475790979858432}
{245, -11212818837535729832679614370153987764329934}
{246, 0}
{247, 0}
{248, 0}
{249, 0}
{250, -12441171086036102405930015109619102304436224}
{251, 0}
{252, 0}
{253, 0}
{254, 0}
{255, 0}
{256, 22300745198530623141535718272648361505980416}
{257, -29945317245912593998456729302590676834380798}
{258, 0}
{259, 0}
{260, 44440051332703366838877997951063655073185792}
{261, 26848830668847811393084025629865650336213362}
{262, 0}
{263, 0}
{264, 0}
{265, 76309743197497135643227061788574137527632452}
{266, 0}
{267, 0}
{268, 0}
{269, 4686947629138758842159044053642621069307282}
{270, 0}
{271, 0}
{272, -109205167149174992167599787372482344284848128}
{273, 0}
{274, -151535944629390012313199902192701780273922048}
{275, 0}
{276, 0}
{277, -27148713947515956276698680582303332496879438}
{278, 0}
{279, 0}
{280, 0}
{281, -21857179013491432700979073659224877042341918}
{282, 0}
{283, 0}
{284, 0}
{285, 0}
{286, 0}
{287, 0}
{288, -185808158716091916715647122016716498197807104}
{289, 336999611850679155747577831223945450760987843}
{290, 198283005355242127084244250024109378777382912}
{291, 0}
{292, 447567437543685267274461578660682787331244032}
{293, -241297934700509583343211774244367290187728398}
{294, 0}
{295, 0}
{296, -574131344935020818036927382304058465035747328}
{297, 0}
{298, 686937602796034183290486064617865376117030912}
{299, 0}
{300, 0}
{301, 0}
{302, 0}
{303, 0}
{304, 0}
{305, -1147898850912811592049120444943260380730173308}
{306, 909889371392316717717485411482357007195308032}
{307, 0}
{308, 0}
{309, 0}
{310, 0}
{311, 0}
{312, 0}
{313, -218127388085565440892658271063091201036800158}
{314, -1131407933302761920018180020676897705086681088}
{315, 0}
{316, 0}
{317, 838644131459807519915313182096941041623788882}
{318, 0}
{319, 0}
{320, -1372223639240211018015740638200289468249800704}
{321, 0}
{322, 0}
{323, 0}
{324, 1548139828427760582529495524831238344488779776}
{325, -509003767923126907387041414408928082944649898}
{326, 0}
{327, 0}
{328, -2571476389332365834307903279062989471353929728}
{329, 0}
{330, 0}
{331, 0}
{332, 0}
{333, 4783619879688980235649288066507394812839464082}
{334, 0}
{335, 0}
{336, 0}
{337, 5781017048355227662229344758420057652792607042}
{338, -2816254981437194547082632948292220249262784512}
{339, 0}
{340, 6719681811312305066975446588797031234857336832}
{341, 0}
{342, 0}
{343, 0}
{344, 0}
{345, 0}
{346, -7125822878412637865636935746812986409081110528}
{347, 0}
{348, 0}
{349, -11166086373339044972464978848288440362358065198}
{350, 0}
{351, 0}
{352, 0}
{353, -14371355525736096431244340758085258352587377278}
{354, 0}
{355, 0}
{356, 5158995866316003274282362718552711066216824832}
{357, 0}
{358, 0}
{359, 0}
{360, 114332658161897729310782387574257711515969781\ 76}
{361, 10842505080063916320800450434338728415281531281}
{362, -7217078930195433870764544939051216996737220608}
{363, 0}
{364, 0}
{365, -27540004268201687434499607636850111871696479708}
{366, 0}
{367, 0}
{368, 0}
{369, 21425350984021516769821949495508165647674559682}
{370, 35327815126129553478572374939180802608051781632}
{371, 0}
{372, 0}
{373, 27614423829549037307668019232960337120593318962}
{374, 0}
{375, 0}
{376, 0}
{377, -27357067945801853852682455685959575961076246076}
{378, 0}
{379, 0}
{380, 0}
{381, 0}
{382, 0}
{383, 0}
{384, 0}
{385, 0}
{386, -71439688933875459241228550546852387056150642688}
{387, 0}
{388, -63144494242837583389663869159458634183221444608}
{389, 79665818440068120826597143583875468978036322162}
{390, 0}
{391, 0}
{392, -47769336197201542165283531601931133238466576384}
{393, 0}
{394, 87893629572522422866806872572729454796545196032}
{395, 0}
{396, 0}
{397, 1928072721458913951079362957337729760235768722}
{398, 0}
{399, 0}
{400, 157170611162740078804893246499705378018437365\ 76}
{401, -32452150994421290130644420506239330770526903998}
{402, 0}
{403, 0}
{404, -148281904086972491436772628513858854379772182528}
{405, -95261124707071762406961264594202074206034345294}
{406, 0}
{407, 0}
{408, 0}
{409, 1237634485659320631087495468206388955477328222\ 42}
{410, 158229720925309521816658486683326199719219167232}
{411, 0}
{412, 0}
{413, 0}
{414, 0}
{415, 0}
{416, 189325430428460448192796701126854591609036603392}
{417, 0}
{418, 0}
{419, 0}
{420, 0}
{421, -111839344483728652332531486819854654859483736078}
{422, 0}
{423, 0}
{424, 325098071300372810707158766809822799045226135552}
{425, -76965333266513129654152569468716739604887701658}
{426, 0}
{427, 0}
{428, 0}
{429, 0}
{430, 0}
{431, 0}
{432, 0}
{433, -567205671863894046213641115559439235473732819518}
{434, 0}
{435, 0}
{436, -312598405070785708744467346974516461537893285888}
{437, 0}
{438, 0}
{439, 0}
{440, 0}
{441, 398010574215107679422058885600836061208944572721}
{442, -927113201440990549609812287524215379102700404736}
{443, 0}
{444, 0}
{445, -317446615325114781200897281915983239084729154908}
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{447, 0}
{448, 0}
{449, 992524410609425008026828367353294270881524467202}
{450, -130953390142118548058793200427398390086959366144}
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{452, 911602506484790029190393019703438917835750899712}
{453, 0}
{454, 0}
{455, 0}
{456, 0}
{457, 1332004954376795705369358307083542038534412983202}
{458, -93459330753365027390431473593935952719569747968}
{459, 0}
{460, 0}
{461, 286051031193162060647923417659594366578336316562}
{462, 0}
{463, 0}
{464, 8447338427780866010448120562134688153952447365\ 12}
{465, 0}
{466, -11422421943609224140239577164033247961851053998\ 08}
{467, 0}
{468, -15774454760534934451917464238371861746661436948\ 48}
{469, 0}
{470, 0}
{471, 0}
{472, 0}
{473, 0}
{474, 0}
{475, 0}
{476, 0}
{477, -2708693072483296593434617324441582830026493166\ 638}
{478, 0}
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{480, 0}
{481, -4874171828547492085386968592246299122396225712636}
{482, 3939792386598361455189889995968978430031916695552}
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{484, 2124303230726006271483826780841554627491524509696}
{485, 3885447186473316945017633041361217760831684116452}
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{488, -4890328375419157099215070208321333750624008798208}
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{490, 2939373181346966361257964829449646968492506218496}
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{492, 0}
{493, -4136601699894050284839671686287137167532862943\ 196}
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{497, 0}
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{500, 3261378353177848029100117880895989954494129504256}
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{508, 0}
{509, -1998640954276636136974684544510356673797381885\ 358}
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{511, 0}
{512, -5846006549323611672814739330865132078623730171904}
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{514, 7849985244112511041131440846298330388071919910912}
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{530, -20004141320764689126058114885503978708043681497088}
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{548, 39724238668926815387831475160403615488127021350\ 912}
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{576, 48708493958471199415506599153950129703565945470976}
{577, 7196490012463568606395830737723443254082441186562}
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{582, 0}
{583, 0}
{584, -1173271183474518307043964560764260286021616355\ 24608}
{585, 97064378458337619550879395928975444806294782163012}
{586, 63254805794130384215922907347515418918971873165312}
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{592, 150505087286646097323472291706715102258330947551232}
{593, 143044796742382871192813502592074287095615763067202}
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{604, 0}
{605, -1307139776794833776809946681462596781032894054\ 49774}
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{610, 300914796373688081986124629919206049246130551652352}
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{612, -238522039374267473649332495707630995294206828740608}
{613, -154243209174492849904469756555177088577282178726158}
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{615, 0}
{616, 0}
{617, 33518877720883222962533745782762209644803718609\ 4882}
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{624, 0}
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