Table of coefficients c14(n) of the (plus) weight 14 newform on Gamma_0(3) for n up to 1000

{1, 1}
{2, -12}
{3, -729}
{4, -8048}
{5, -30210}
{6, 8748}
{7, 235088}
{8, 194880}
{9, 531441}
{10, 362520}
{11, -11182908}
{12, 5866992}
{13, 8049614}
{14, -2821056}
{15, 22023090}
{16, 63590656}
{17, -117494622}
{18, -6377292}
{19, -214061380}
{20, 243130080}
{21, -171379152}
{22, 134194896}
{23, 830555544}
{24, -142067520}
{25, -308059025}
{26, -96595368}
{27, -387420489}
{28, -1891988224}
{29, -1252400250}
{30, -264277080}
{31, 6159350552}
{32, -2359544832}
{33, 8152339932}
{34, 1409935464}
{35, -7102008480}
{36, -4277037168}
{37, -5498191402}
{38, 2568736560}
{39, -5868168606}
{40, -5887324800}
{41, -4678687878}
{42, 2056549824}
{43, 7115013764}
{44, 90000043584}
{45, -16054832610}
{46, -9966666528}
{47, -29528776992}
{48, -46357588224}
{49, -41622642663}
{50, 3696708300}
{51, 85653579438}
{52, -64783293472}
{53, -204125042466}
{54, 4649045868}
{55, 337835650680}
{56, 45813949440}
{57, 156050746020}
{58, 15028803000}
{59, -29909821020}
{60, -177241828320}
{61, -134392006738}
{62, -73912206624}
{63, 124935401808}
{64, -492620115968}
{65, -243178838940}
{66, -97828079184}
{67, 348518801948}
{68, 945596717856}
{69, -605474991576}
{70, 85224101760}
{71, 1314335409192}
{72, 103567222080}
{73, -1178875922326}
{74, 65978296824}
{75, 224575029225}
{76, 1722765986240}
{77, -2628967475904}
{78, 70418023272}
{79, -1072420659640}
{80, -1921073717760}
{81, 282429536481}
{82, 56144254536}
{83, 1124025139644}
{84, 1379259415296}
{85, 3549512530620}
{86, -85380165168}
{87, 912999782250}
{88, -2179325111040}
{89, 2235610909530}
{90, 192657991320}
{91, 1892367656032}
{92, -6684311018112}
{93, -4490166552408}
{94, 354345323904}
{95, 6466794289800}
{96, 1720108182528}
{97, -14215257165502}
{98, 499471711956}
{99, -5943055810428}
{100, 2479259033200}
{101, 17019415289742}
{102, -1027842953256}
{103, 10990429870784}
{104, 1568708776320}
{105, 5177364181920}
{106, 2449500509592}
{107, -19640332937772}
{108, 3117960095472}
{109, -9820991409010}
{110, -4054027808160}
{111, 4008181532058}
{112, 14949400137728}
{113, -17026697549166}
{114, -1872608952240}
{115, -25091082984240}
{116, 10079317212000}
{117, 4277894913774}
{118, 358917852240}
{119, -27621575696736}
{120, 4291859779200}
{121, 90534719192533}
{122, 1612704080856}
{123, 3410763463062}
{124, -49570453242496}
{125, 46183904551500}
{126, -1499224821696}
{127, -44934655354072}
{128, 25240832655360}
{129, -5186845033956}
{130, 2918146067280}
{131, -1201824485988}
{132, -65610031772736}
{133, -50323261701440}
{134, -4182225623376}
{135, 11703972972690}
{136, -22897351935360}
{137, 17156152133178}
{138, 7265699898912}
{139, 105644089827860}
{140, 57156964247040}
{141, 21526478427168}
{142, -15772024910304}
{143, -90018092797512}
{144, 33794681815296}
{145, 37835011552500}
{146, 14146511067912}
{147, 30342906501327}
{148, 44249444403296}
{149, -85353252521010}
{150, -2694900350700}
{151, -61641427803328}
{152, -41716281734400}
{153, -62441459410302}
{154, 31547609710848}
{155, -186073980175920}
{156, 47227020941088}
{157, -118020796127122}
{158, 12869047915680}
{159, 148807155957714}
{160, 71281849374720}
{161, 195253641727872}
{162, -3389154437772}
{163, 154710153734924}
{164, 37654080042144}
{165, -246282189345720}
{166, -13488301675728}
{167, 376012022331288}
{168, -33398369141760}
{169, -238078821043257}
{170, -42594150367440}
{171, -113760993848580}
{172, -57261630772672}
{173, 373562385120294}
{174, -10955997387000}
{175, -72420980069200}
{176, -711128455707648}
{177, 21804259523580}
{178, -26827330914360}
{179, 42334856171820}
{180, 129209292845280}
{181, -310446880718218}
{182, -22708411872384}
{183, 97971772912002}
{184, 161858664414720}
{185, 166100362254420}
{186, 53881998628896}
{187, 1313931548320776}
{188, 237647597231616}
{189, -91077907918032}
{190, -77601531477600}
{191, -862273101479808}
{192, 359120064540672}
{193, -937836643014526}
{194, 170583085986024}
{195, 177277373587260}
{196, 334979028151824}
{197, -671714610973362}
{198, 71316669725136}
{199, -43645139278720}
{200, -60034542792000}
{201, -254070206620092}
{202, -204232983476904}
{203, -294424269972000}
{204, -689340007317024}
{205, 141343160794380}
{206, -131885158449408}
{207, 441391268858904}
{208, 511880234806784}
{209, 2393828718893040}
{210, -62128370183040}
{211, -1621621640538868}
{212, 1642798341766368}
{213, -958150513300968}
{214, 235683995253264}
{215, -214944565810440}
{216, -75500504896320}
{217, 1447989402568576}
{218, 117851896908120}
{219, 859400547375654}
{220, -2718901316672640}
{221, -945786354175908}
{222, -48098178384696}
{223, 1473330009613544}
{224, -554700675465216}
{225, -163715196305025}
{226, 204320370589992}
{227, -3748889415542772}
{228, -1255896403968960}
{229, -14799292425850}
{230, 301092995810880}
{231, 1916517289934016}
{232, -244067760720000}
{233, 3630529144975914}
{234, -51334738965288}
{235, 892064352928320}
{236, 240714239568960}
{237, 781794660877560}
{238, 331458908360832}
{239, -4339000266991440}
{240, 1400462740247040}
{241, 3023722695906962}
{242, -1086416630310396}
{243, -205891132094649}
{244, 1081586870227424}
{245, 1257420034849230}
{246, -40929161556744}
{247, -1723111481307320}
{248, 1200334235573760}
{249, -819414326800476}
{250, -554206854618000}
{251, -1751455209412908}
{252, -1005480113750784}
{253, -9288026237441952}
{254, 539215864248864}
{255, -2587594634821980}
{256, 3732653998145536}
{257, 4876036408101378}
{258, 62242140407472}
{259, -1292558820313376}
{260, 1957103295789120}
{261, -665576841260250}
{262, 14421893831856}
{263, 4678821543034104}
{264, 1588728005948160}
{265, 6166617532897860}
{266, 603879140417280}
{267, -1629760353047370}
{268, -2804879318077504}
{269, -1802619594866250}
{270, -140447675672280}
{271, 6100162734217592}
{272, -7471560089452032}
{273, -1379536021247328}
{274, -205873825598136}
{275, 3444995735144700}
{276, 4872862732203648}
{277, -10702338294035242}
{278, -1267729077934320}
{279, 3273331416705432}
{280, -1384039412582400}
{281, -2454600608693958}
{282, -258317741126016}
{283, 4011554116057604}
{284, -10577771373177216}
{285, -4714293037264200}
{286, 1080217113570144}
{287, -1099903375863264}
{288, -1253958865062912}
{289, 3900408166016947}
{290, -454020138630000}
{291, 10362922473650958}
{292, 9487593422879648}
{293, 2081866149710094}
{294, -364114878015924}
{295, 903575693014200}
{296, -1071487540421760}
{297, 4332487685802012}
{298, 1024239030252120}
{299, 6685651534760016}
{300, -1807379835202800}
{301, 1672654355751232}
{302, 739697133639936}
{303, -12407153746221918}
{304, -13612303578465280}
{305, 4059982523554980}
{306, 749297512923624}
{307, -13235219589981652}
{308, 21157930246075392}
{309, -8012023375801536}
{310, 2232887762111040}
{311, -8093014030966488}
{312, -1143588697937280}
{313, -14818112378698726}
{314, 1416249553525464}
{315, -3774298488619680}
{316, 8630841468782720}
{317, -24317052393895482}
{318, -1785685871492568}
{319, 14005476774927000}
{320, 14882053703393280}
{321, 14317802711635788}
{322, -2343043700734464}
{323, 25151060927898360}
{324, -2272992909599088}
{325, -2479756240466350}
{326, -1856521844819088}
{327, 7159502737168290}
{328, -911782693664640}
{329, -6941861125495296}
{330, 2955386272148640}
{331, 11623168076685812}
{332, -9046154323854912}
{333, -2921964336870282}
{334, -4512144267975456}
{335, -10528753006849080}
{336, -10898112700403712}
{337, 46265248280338898}
{338, 2856945852519084}
{339, 12412462513342014}
{340, -28566476846429760}
{341, -68879450562765216}
{342, 1365131926182960}
{343, -32562427496920160}
{344, 1386573882328320}
{345, 18291399495510960}
{346, -4482748621443528}
{347, 4794041266797108}
{348, -7347822247548000}
{349, 37689996015206990}
{350, 869051760830400}
{351, -3118585392141246}
{352, 26386572778131456}
{353, 48017883307283394}
{354, -261651114282960}
{355, -39706072711690320}
{356, -17992196599897440}
{357, 20136128682920544}
{358, -508018274061840}
{359, 40661600992602120}
{360, -3128765779036800}
{361, 3769290945247341}
{362, 3725362568618616}
{363, -65999810291356557}
{364, -15229774895745536}
{365, 35613841613468460}
{366, -1175661274944024}
{367, 29673300626881928}
{368, 52815571887396864}
{369, -2486446564572198}
{370, -1993204347053040}
{371, -47987347983247008}
{372, 36136860413779584}
{373, -90134578399742266}
{374, -15767178579849312}
{375, -33668066418043500}
{376, -5754568060200960}
{377, -10081338586003500}
{378, 1092934895016384}
{379, -15484136763879340}
{380, -52044760444310400}
{381, 32757363753118488}
{382, 10347277217757696}
{383, 9370880885351424}
{384, -18400567005757440}
{385, 79421107447059840}
{386, 11254039716174312}
{387, 3781210029753924}
{388, 114404389667960096}
{389, 29580560950821630}
{390, -2127328483047120}
{391, -97585809692284368}
{392, -8111420602165440}
{393, 876130050285252}
{394, 8060575331680344}
{395, 32397828127724400}
{396, 47829713162324544}
{397, 18061747254883838}
{398, 523741671344640}
{399, 36685657780349760}
{400, -19589675486470400}
{401, -120412338372532158}
{402, 3048842479441104}
{403, 49580394434286928}
{404, -136972254251843616}
{405, -8532196297091010}
{406, 3533091239664000}
{407, 61485768614957016}
{408, 16692169560877440}
{409, -17752187046553510}
{410, -1696117929532560}
{411, -12506834905086762}
{412, -88450979600069632}
{413, -7031440003949760}
{414, -5296695226306848}
{415, -33956799468645240}
{416, -18993425113294848}
{417, -77014541484509940}
{418, -28725944626716480}
{419, 175670394916722060}
{420, -41667426936092160}
{421, 184473355563153062}
{422, 19459459686466416}
{423, -15692802773405472}
{424, -39779888275774080}
{425, 36195278696063550}
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{427, -31593948080022944}
{428, 158065399483189056}
{429, 65623189649386248}
{430, 2579334789725280}
{431, 80553231525379392}
{432, -24636323043350784}
{433, -197091993816489166}
{434, -17375872830822912}
{435, -27581723421772500}
{436, 79039338859712480}
{437, -177789865915290720}
{438, -10312806568507848}
{439, 98900719348059440}
{440, 65837411604518400}
{441, -22119978839467383}
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{445, -67537805576901300}
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