Table of coefficients c(n) of the rational weight 20 newform on Gamma0(3) for n up to 1000

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{1, 1}
{2, 0}
{3, -36}
{4, 0}
{5, -196290}
{6, 0}
{7, -35905576}
{8, 0}
{9, -1162260171}
{10, 0}
{11, -12016099980}
{12, 0}
{13, -45529656874}
{14, 0}
{15, 7066440}
{16, 0}
{17, 496563248178}
{18, 0}
{19, 1410273986444}
{20, 0}
{21, 1292600736}
{22, 0}
{23, -7039745388792}
{24, 0}
{25, -19034956564025}
{26, 0}
{27, 83682778968}
{28, 0}
{29, 38996890912134}
{30, 0}
{31, 173641323230816}
{32, 0}
{33, 432579599280}
{34, 0}
{35, 7047905513040}
{36, 0}
{37, -1108106825662306}
{38, 0}
{39, 1639067647464}
{40, 0}
{41, -1444509198124614}
{42, 0}
{43, 4646075748354260}
{44, 0}
{45, 228140048965590}
{46, 0}
{47, 8950457686524048}
{48, 0}
{49, -10109684797481367}
{50, 0}
{51, -17876276934408}
{52, 0}
{53, -32948524384463538}
{54, 0}
{55, 2358640265074200}
{56, 0}
{57, -50769863511984}
{58, 0}
{59, 36999205673523588}
{60, 0}
{61, 82929105285760742}
{62, 0}
{63, 41731620901613496}
{64, 0}
{65, 8937016347797460}
{66, 0}
{67, -186668590860047716}
{68, 0}
{69, 253430833996512}
{70, 0}
{71, -596514630027659112}
{72, 0}
{73, 310786775495585306}
{74, 0}
{75, 685258436304900}
{76, 0}
{77, 431444991055488480}
{78, 0}
{79, 700397513485701872}
{80, 0}
{81, 1350847198802088009}
{82, 0}
{83, -1357882121724855732}
{84, 0}
{85, -97470399984859620}
{86, 0}
{87, -1403888072836824}
{88, 0}
{89, -5991411253779123894}
{90, 0}
{91, 1634768555143329424}
{92, 0}
{93, -6251087636309376}
{94, 0}
{95, -276822680799092760}
{96, 0}
{97, 4531118407744664354}
{98, 0}
{99, 13965834417507896580}
{100, 0}
{101, -11306061403761825954}
{102, 0}
{103, 14088410396113772792}
{104, 0}
{105, -253724598469440}
{106, 0}
{107, -29747284881344907372}
{108, 0}
{109, -3392152994657490442}
{110, 0}
{111, 39891845723843016}
{112, 0}
{113, -29194338131675925678}
{114, 0}
{115, 1381831622365981680}
{116, 0}
{117, 52917306783946565454}
{118, 0}
{119, -17829389446262040528}
{120, 0}
{121, 83227568280941454109}
{122, 0}
{123, 52002331132486104}
{124, 0}
{125, 7480306255300123500}
{126, 0}
{127, -8913781142039049856}
{128, 0}
{129, -167258726940753360}
{130, 0}
{131, -181967519173495261860}
{132, 0}
{133, -50636699801088011744}
{134, 0}
{135, -16426092683628720}
{136, 0}
{137, -21042702278115410214}
{138, 0}
{139, -39703555915523048716}
{140, 0}
{141, -322216476714865728}
{142, 0}
{143, 547088909053078262520}
{144, 0}
{145, -7654699717142782860}
{146, 0}
{147, 363948652709329212}
{148, 0}
{149, 125137072583899092846}
{150, 0}
{151, 237556802350509666440}
{152, 0}
{153, -577135685739677718438}
{154, 0}
{155, -34084055336976872640}
{156, 0}
{157, -921543275658415432954}
{158, 0}
{159, 1186146877840687368}
{160, 0}
{161, 252766113077920704192}
{162, 0}
{163, -929757393625967589700}
{164, 0}
{165, -84911049542671200}
{166, 0}
{167, 2238442494716862540216}
{168, 0}
{169, 611029364688729341199}
{170, 0}
{171, -1639105284641255121924}
{172, 0}
{173, 2814069355078688373942}
{174, 0}
{175, 683461079566298503400}
{176, 0}
{177, -1331971404246849168}
{178, 0}
{179, -2772954867802331413908}
{180, 0}
{181, -1310290630655991860530}
{182, 0}
{183, -2985447790287386712}
{184, 0}
{185, 217510288809254044740}
{186, 0}
{187, -5966753636500400836440}
{188, 0}
{189, -3004678380126725568}
{190, 0}
{191, 2030388272024151924288}
{192, 0}
{193, 3973802265567158492738}
{194, 0}
{195, -321732588520708560}
{196, 0}
{197, -367933372735782009474}
{198, 0}
{199, 10531224605480068172312}
{200, 0}
{201, 6720069270961717776}
{202, 0}
{203, -1400205830409336659184}
{204, 0}
{205, 283542710499880482060}
{206, 0}
{207, 8182015679373851403432}
{208, 0}
{209, -16945993220304268671120}
{210, 0}
{211, -9574028075937910800436}
{212, 0}
{213, 21474526680995728032}
{214, 0}
{215, -911978208644457695400}
{216, 0}
{217, -6234691728004629430016}
{218, 0}
{219, -11188323917841071016}
{220, 0}
{221, -22608354305783245675572}
{222, 0}
{223, 34294362262766514980000}
{224, 0}
{225, 22123571871081268948275}
{226, 0}
{227, -13642571561401290800772}
{228, 0}
{229, 21673987935098711266526}
{230, 0}
{231, -15532019677997585280}
{232, 0}
{233, 20983759863249076435962}
{234, 0}
{235, -1756885339287805381920}
{236, 0}
{237, -25214310485485267392}
{238, 0}
{239, -36913162847708358981936}
{240, 0}
{241, -26850106755639087502126}
{242, 0}
{243, -145891768602859594380}
{244, 0}
{245, 1984430028897617528430}
{246, 0}
{247, -64209290701123447416056}
{248, 0}
{249, 48883756382094806352}
{250, 0}
{251, -28807527979035037770300}
{252, 0}
{253, 84590284425468643424160}
{254, 0}
{255, 3508934399454946320}
{256, 0}
{257, 35911234590614651343618}
{258, 0}
{259, 39787213844936678418256}
{260, 0}
{261, -45324533100005208814914}
{262, 0}
{263, 160373423437148099658456}
{264, 0}
{265, 6467465851426347874020}
{266, 0}
{267, 215690805136048460184}
{268, 0}
{269, -15995767088471154352938}
{270, 0}
{271, -218066385408340761442000}
{272, 0}
{273, -58851667985159859264}
{274, 0}
{275, 228725941188281671219500}
{276, 0}
{277, -234468332749426632682258}
{278, 0}
{279, -201816394030914476629536}
{280, 0}
{281, -180365242657088356177014}
{282, 0}
{283, 274010500663433604859172}
{284, 0}
{285, 9965616508767339360}
{286, 0}
{287, 51865934795962385447664}
{288, 0}
{289, 7502623755934695472531}
{290, 0}
{291, -163120262678807916744}
{292, 0}
{293, 394115452458772376296350}
{294, 0}
{295, -7262574081655945088520}
{296, 0}
{297, -1005540638683729220640}
{298, 0}
{299, 320517192032023485356208}
{300, 0}
{301, -166820025884290757353760}
{302, 0}
{303, 407018210535425734344}
{304, 0}
{305, -16278154076541976047180}
{306, 0}
{307, -348844886248790299006996}
{308, 0}
{309, -507182774260095820512}
{310, 0}
{311, -903990695972622565540248}
{312, 0}
{313, 566954752227964267262954}
{314, 0}
{315, -8191499866777713129840}
{316, 0}
{317, -418449716646125651693082}
{318, 0}
{319, -468590540109355539157320}
{320, 0}
{321, 1070902255728416665392}
{322, 0}
{323, 700290231529569379699032}
{324, 0}
{325, 866655040971552262357850}
{326, 0}
{327, 122117507807669655912}
{328, 0}
{329, -321371338698273381291648}
{330, 0}
{331, 118374629345340843210548}
{332, 0}
{333, 1287908428680538959814326}
{334, 0}
{335, 36641177699918766173640}
{336, 0}
{337, 310589212526600886320114}
{338, 0}
{339, 1050996172740333324408}
{340, 0}
{341, -2086491500600981672983680}
{342, 0}
{343, 772277953226461305747760}
{344, 0}
{345, -49745938405175340480}
{346, 0}
{347, -945736168421318183539740}
{348, 0}
{349, -832861594010719351297210}
{350, 0}
{351, -3810048212675823826032}
{352, 0}
{353, -1694735666557768308267486}
{354, 0}
{355, 117089856728129207094480}
{356, 0}
{357, 641858020065433459008}
{358, 0}
{359, 2136943113161335741481976}
{360, 0}
{361, 10453061180337906641157}
{362, 0}
{363, -2996192458113892347924}
{364, 0}
{365, -61004336162028439714740}
{366, 0}
{367, 1585061278762345855696976}
{368, 0}
{369, 1678895507623386746948994}
{370, 0}
{371, 1183035746374208782887888}
{372, 0}
{373, 1583052559938447881973518}
{374, 0}
{375, -269291025190804446000}
{376, 0}
{377, -1775515062382269903109116}
{378, 0}
{379, -3384062314585120849286332}
{380, 0}
{381, 320896121113405794816}
{382, 0}
{383, 2470606465964578590284928}
{384, 0}
{385, -84688337294281833739200}
{386, 0}
{387, -5399948793761175196178460}
{388, 0}
{389, -1357195092466111364617794}
{390, 0}
{391, -3495678836604652995620976}
{392, 0}
{393, 6550830690245829426960}
{394, 0}
{395, -137481027922108420454880}
{396, 0}
{397, 3472389421935583751766614}
{398, 0}
{399, 1822921192839168422784}
{400, 0}
{401, 6887791088283444596590770}
{402, 0}
{403, -7905829865846377583029184}
{404, 0}
{405, -265157796652861855286610}
{406, 0}
{407, 13315122405678698613353880}
{408, 0}
{409, 2439353935679611628387594}
{410, 0}
{411, 757537282012154767704}
{412, 0}
{413, -1328477791250332376726688}
{414, 0}
{415, 266538681673371931634280}
{416, 0}
{417, 1429328012958829753776}
{418, 0}
{419, 848029238278417352602044}
{420, 0}
{421, 3237174960108150459812126}
{422, 0}
{423, -10402760481267704424092208}
{424, 0}
{425, -9452059860359396221596450}
{426, 0}
{427, -2977617292449884039697392}
{428, 0}
{429, -19695200725910817450720}
{430, 0}
{431, 10121403610812553634950416}
{432, 0}
{433, -17791073095026834909797614}
{434, 0}
{435, 275569189817140182960}
{436, 0}
{437, -9927969793002460517535648}
{438, 0}
{439, 7051904331735562399072232}
{440, 0}
{441, 11750083981476793978733757}
{442, 0}
{443, 9040847827366928418865668}
{444, 0}
{445, 1176054115004304229153260}
{446, 0}
{447, -4504934613020367342456}
{448, 0}
{449, 809263877029325064630594}
{450, 0}
{451, 17357366946694990322907720}
{452, 0}
{453, -8552044884618347991840}
{454, 0}
{455, -320888719689084132636960}
{456, 0}
{457, 21548095481232985219076762}
{458, 0}
{459, 41553792540911702720304}
{460, 0}
{461, -20069615447284788885551850}
{462, 0}
{463, -21449426664845652431478928}
{464, 0}
{465, 1227025992131167415040}
{466, 0}
{467, 4473143195661600519277260}
{468, 0}
{469, 6702443275938348630464416}
{470, 0}
{471, 33175557923702955586344}
{472, 0}
{473, -55827710706878108618914800}
{474, 0}
{475, -26844504075335921668077100}
{476, 0}
{477, 38294757585284261419144998}
{478, 0}
{479, -31862808730463984721684576}
{480, 0}
{481, 50451723552142129975591444}
{482, 0}
{483, -9099580070805145350912}
{484, 0}
{485, -889413232256200166046660}
{486, 0}
{487, -21189588058824409477827208}
{488, 0}
{489, 33471266170534833229200}
{490, 0}
{491, 53732964214916660849274900}
{492, 0}
{493, 19364422820172388233591852}
{494, 0}
{495, -2741353637812625019688200}
{496, 0}
{497, 21418201383569996348008512}
{498, 0}
{499, 47366329127940058108416044}
{500, 0}
{501, -80583929809807051447776}
{502, 0}
{503, -71333004388373487567531864}
{504, 0}
{505, 2219266792944408816510660}
{506, 0}
{507, -21997057128794256283164}
{508, 0}
{509, -1672867351136269514468826}
{510, 0}
{511, -11158978187351675869066256}
{512, 0}
{513, 118015646291913480309792}
{514, 0}
{515, -2765414076653172461341680}
{516, 0}
{517, -107549594428032459442319040}
{518, 0}
{519, -101306496782832781461912}
{520, 0}
{521, -50397363968133453953285286}
{522, 0}
{523, 24540185177951982694454132}
{524, 0}
{525, -24604598864386746122400}
{526, 0}
{527, 86223899481420002185453248}
{528, 0}
{529, -25057455788572483322689223}
{530, 0}
{531, -43002703112973695561413548}
{532, 0}
{533, 65768008141950559713696636}
{534, 0}
{535, 5839094549359191868049880}
{536, 0}
{537, 99826375240883930900688}
{538, 0}
{539, 121478983292822158059072660}
{540, 0}
{541, 48014481422101488790936454}
{542, 0}
{543, 47170462703615706979080}
{544, 0}
{545, 665845711321318798860180}
{546, 0}
{547, 45263391806086553686591292}
{548, 0}
{549, -96385196090305283862006882}
{550, 0}
{551, 54996300805577011511111496}
{552, 0}
{553, -25148176150671893478438272}
{554, 0}
{555, -7830370397133145610640}
{556, 0}
{557, 2297953619452858541296950}
{558, 0}
{559, -211534234633182227996183240}
{560, 0}
{561, 214803130914014430111840}
{562, 0}
{563, -52653900797714335715724564}
{564, 0}
{565, 5730556631866667451334620}
{566, 0}
{567, -48502946760975479965838184}
{568, 0}
{569, 98790449671865265948366570}
{570, 0}
{571, -254388374151508020950397052}
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{573, -73093977792869469274368}
{574, 0}
{575, 134001247697451006065407800}
{576, 0}
{577, 16066787470567087786056386}
{578, 0}
{579, -143056881560417705738568}
{580, 0}
{581, 48755539720633058574361632}
{582, 0}
{583, 395912763197181831272529240}
{584, 0}
{585, -10387138148620871332965660}
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{587, -361660336892415011322432972}
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{589, 244881841124134025867058304}
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{591, 13245601418488152341064}
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{595, 3499730854406775935241120}
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{597, -379124085797282454203232}
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{599, -171788824968780254761429560}
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{601, -450110213869517051580090550}
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{603, 216957468333328095466319436}
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{605, -16336739377865998027055610}
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{607, 137008686043777528323227936}
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{609, 50407409894736119730624}
{610, 0}
{611, -407511267332695759189505952}
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{613, -303094798159404250861691554}
{614, 0}
{615, -10207537577995697354160}
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{617, -246952524266096459714944902}
{618, 0}
{619, 81612918459264540394761620}
{620, 0}
{621, -589105457361278160526656}
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{623, 215125072119821620189432944}
{624, 0}
{625, 361594674465531202478888125}
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{627, 610055755930953672160320}
{628, 0}
{629, -550245124679087433497778468}
{630, 0}
{631, 400989207118487414903214632}
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{633, 344665010733764788815696}
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{635, 1749686100370845096234240}
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{637, 460290479933620818918466758}
{638, 0}
{639, 693305195899948814242828152}
{640, 0}
{641, -62578712006701354242404478}
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{643, 141386465042844508814396252}
{644, 0}
{645, 32831215511200477034400}
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{647, -438366534375431642247579816}
{648, 0}
{649, -444586154553642672296328240}
{650, 0}
{651, 224448902208166659480576}
{652, 0}
{653, 657327671613218428537458006}
{654, 0}
{655, 35718404338565384950499400}
{656, 0}
{657, -361215090832037587496647326}
{658, 0}
{659, -342517113571020685163666676}
{660, 0}
{661, -846916583325417875328037522}
{662, 0}
{663, 813900755008196844320592}
{664, 0}
{665, 9939477803955565825229760}
{666, 0}
{667, -274528182975919977340402128}
{668, 0}
{669, -1234597041459594539280000}
{670, 0}
{671, -996484420365647546230985160}
{672, 0}
{673, 1002159292376124980093722082}
{674, 0}
{675, -1592898062812784815426200}
{676, 0}
{677, 554384540965329128202003486}
{678, 0}
{679, -162692416354275034557037904}
{680, 0}
{681, 491132576210446468827792}
{682, 0}
{683, 138934273443761540908907604}
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{685, 4130472030171273870906060}
{686, 0}
{687, -780263565663553605594936}
{688, 0}
{689, 1500135009729246941704060212}
{690, 0}
{691, 1124089482906066706555443308}
{692, 0}
{693, -501451329081245511253330080}
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{695, 7793410990658019232463640}
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{697, -717290179443756473852453292}
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{699, -755415355076966751694632}
{700, 0}
{701, 1681678458662709853351039590}
{702, 0}
{703, -1562734230432586803165779864}
{704, 0}
{705, 63247872214360993749120}
{706, 0}
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