Table of coefficients c12(n) of the weight 12 newform on Gamma0(5) for n up to 1000

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{1, 1}
{2, 34}
{3, -792}
{4, -892}
{5, 3125}
{6, -26928}
{7, -17556}
{8, -99960}
{9, 450117}
{10, 106250}
{11, -468788}
{12, 706464}
{13, -374042}
{14, -596904}
{15, -2475000}
{16, -1571824}
{17, -3724286}
{18, 15303978}
{19, -379460}
{20, -2787500}
{21, 13904352}
{22, -15938792}
{23, -32458092}
{24, 79168320}
{25, 9765625}
{26, -12717428}
{27, -216192240}
{28, 15659952}
{29, 69696710}
{30, -84150000}
{31, 171448632}
{32, 151276064}
{33, 371280096}
{34, -126625724}
{35, -54862500}
{36, -401504364}
{37, -291340546}
{38, -12901640}
{39, 296241264}
{40, -312375000}
{41, 191343242}
{42, 472747968}
{43, -1759857392}
{44, 418158896}
{45, 1406615625}
{46, -1103575128}
{47, 1623469924}
{48, 1244884608}
{49, -1669113607}
{50, 332031250}
{51, 2949634512}
{52, 333645464}
{53, -644888642}
{54, -7350536160}
{55, -1464962500}
{56, 1754897760}
{57, 300532320}
{58, 2369688140}
{59, 925569220}
{60, 2207700000}
{61, -10898589338}
{62, 5829253488}
{63, -7902254052}
{64, 8362481728}
{65, -1168881250}
{66, 12623523264}
{67, 3795674064}
{68, 3322063112}
{69, 25706808864}
{70, -1865325000}
{71, -22966943728}
{72, -44993695320}
{73, 9880820458}
{74, -9905578564}
{75, -7734375000}
{76, 338478320}
{77, 8230042128}
{78, 10072202976}
{79, -20768886240}
{80, -4911950000}
{81, 91487377881}
{82, 6505670228}
{83, 3204862008}
{84, -12402681984}
{85, -11638393750}
{86, -59835151328}
{87, -55199794320}
{88, 46860048480}
{89, 63176321130}
{90, 47824931250}
{91, 6566681352}
{92, 28952618064}
{93, -135787316544}
{94, 55197977416}
{95, -1185812500}
{96, -119810642688}
{97, 126494473874}
{98, -56749862638}
{99, -211009448196}
{100, -8710937500}
{101, 32890510302}
{102, 100287573408}
{103, 76222392308}
{104, 37389238320}
{105, 43451100000}
{106, -21926213828}
{107, 55856572344}
{108, 192843478080}
{109, -166136788330}
{110, -49808725000}
{111, 230741712432}
{112, 27594942144}
{113, -179451654542}
{114, 10218098880}
{115, -101431537500}
{116, -62169465320}
{117, -168362662914}
{118, 31469353480}
{119, 65383565016}
{120, 247401000000}
{121, -65549481667}
{122, -370552037492}
{123, -151543847664}
{124, -152932179744}
{125, 30517578125}
{126, -268676637768}
{127, -53794877516}
{128, -25489000320}
{129, 1393807054464}
{130, -39741962500}
{131, 531507278532}
{132, -331181845632}
{133, 6661799760}
{134, 129052918176}
{135, -675600750000}
{136, 372279628560}
{137, 392827630554}
{138, 874031501376}
{139, -1046036929420}
{140, 48937350000}
{141, -1285788179808}
{142, -780876086752}
{143, 175346401096}
{144, -707504703408}
{145, 217802218750}
{146, 335947895572}
{147, 1321937976744}
{148, 259875767032}
{149, 445288935950}
{150, -262968750000}
{151, 266614824352}
{152, 37930821600}
{153, -1676364441462}
{154, 279821432352}
{155, 535776975000}
{156, -264247207488}
{157, -1619587062106}
{158, -706142132160}
{159, 510751804464}
{160, 472737700000}
{161, 569834263152}
{162, 3110570847954}
{163, 1557118038008}
{164, -170678171864}
{165, 1160250300000}
{166, 108965308272}
{167, -810193869636}
{168, -1389879025920}
{169, -1652252976273}
{170, -395705387500}
{171, -170801396820}
{172, 1569792793664}
{173, -3629196921642}
{174, -1876793006880}
{175, -171445312500}
{176, 736852229312}
{177, -733050822240}
{178, 2147994918420}
{179, -3783829650740}
{180, -1254701137500}
{181, -26382760018}
{182, 223267165968}
{183, 8631682755696}
{184, 3244510876320}
{185, -910439206250}
{186, -4616768762496}
{187, 1745900585368}
{188, -1448135172208}
{189, 3795470965440}
{190, -40317625000}
{191, 3188489846792}
{192, -6623085528576}
{193, -2172552458542}
{194, 4300812111716}
{195, 925753950000}
{196, 1488849337444}
{197, 3090424396974}
{198, -7174321238664}
{199, 4506273184600}
{200, -976171875000}
{201, -3006173858688}
{202, 1118277350268}
{203, -1223595440760}
{204, -2631073984704}
{205, 597947631250}
{206, 2591561338472}
{207, -14609938996764}
{208, 587928192608}
{209, 177886294480}
{210, 1477337400000}
{211, -10473937938988}
{212, 575240668664}
{213, 18189819432576}
{214, 1899123459696}
{215, -5499554350000}
{216, 21610576310400}
{217, -3009952183392}
{218, -5648650803220}
{219, -7825609802736}
{220, 1306746550000}
{221, 1393039384012}
{222, 7845218222688}
{223, -3637981404292}
{224, -2655802579584}
{225, 4395673828125}
{226, -6101356254428}
{227, 16586396582384}
{228, -268074829440}
{229, -10279797623490}
{230, -3448672275000}
{231, -6518193365376}
{232, -6966883131600}
{233, 2927599746858}
{234, -5724330539076}
{235, 5073343512500}
{236, -825607744240}
{237, 16448957902080}
{238, 2223041210544}
{239, 13396011338080}
{240, 3890264400000}
{241, -16728195115358}
{242, -2228682376678}
{243, -34160196542472}
{244, 9721541689496}
{245, -5215980021875}
{246, -5152490820576}
{247, 141933977320}
{248, -17138005254720}
{249, -2538250710336}
{250, 1037597656250}
{251, 18833877060252}
{252, 7048810614384}
{253, 15215964032496}
{254, -1829025835544}
{255, 9217607850000}
{256, -17992988589824}
{257, -1201563096606}
{258, 47389439851776}
{259, 5114774625576}
{260, 1042642075000}
{261, 31371674015070}
{262, 18071247470088}
{263, 3796600489508}
{264, -37113158396160}
{265, -2015277006250}
{266, 226501191840}
{267, -50035646334960}
{268, -3385741265088}
{269, -25742245602410}
{270, -22970425500000}
{271, 16014429593272}
{272, 5853922117664}
{273, -5200811630784}
{274, 13356139438836}
{275, -4578007812500}
{276, -22930473506688}
{277, -23161973367666}
{278, -35565255600280}
{279, 77171943889944}
{280, 5484055500000}
{281, 37179665661882}
{282, -43716798113472}
{283, 9578058412608}
{284, 20486513805376}
{285, 939163500000}
{286, 5961777637264}
{287, -3359221956552}
{288, 68091928099488}
{289, -20401590097837}
{290, 7405275437500}
{291, -100183623308208}
{292, -8813691848536}
{293, -65105235871842}
{294, 44945891209296}
{295, 2892403812500}
{296, 29122400978160}
{297, 101348327805120}
{298, 15139823822300}
{299, 12140689647864}
{300, 6899062500000}
{301, 30896056373952}
{302, 9064904027968}
{303, -26049284159184}
{304, 596444335040}
{305, -34058091681250}
{306, -56996391009708}
{307, -33787161085856}
{308, -7341197578176}
{309, -60368134707936}
{310, 18216417150000}
{311, 31326789581712}
{312, -29612276749440}
{313, 63902725450058}
{314, -55065960111604}
{315, -24694543912500}
{316, 18525846526080}
{317, 11551720535414}
{318, 17365561351776}
{319, -32672981287480}
{320, 26132755400000}
{321, -44238405296448}
{322, 19374364947168}
{323, 1413217565560}
{324, -81606741069852}
{325, -3652753906250}
{326, 52942013292272}
{327, 131580336357360}
{328, -19126670470320}
{329, -28501637985744}
{330, 39448510200000}
{331, 117396489617532}
{332, -2858736911136}
{333, -131137332543882}
{334, -27546591567624}
{335, 11861481450000}
{336, -21855194178048}
{337, 3673996841554}
{338, -56176601193282}
{339, 142125710397264}
{340, 10381447225000}
{341, -80373061298016}
{342, -5807247491880}
{343, 64016906784600}
{344, 175915344904320}
{345, 80333777700000}
{346, -123392695335828}
{347, -59296596491576}
{348, 49238216533440}
{349, -96915614965850}
{350, -5829140625000}
{351, 80864977834080}
{352, -70916403490432}
{353, 39359396659458}
{354, -24923727956160}
{355, -71771699150000}
{356, -56353278447960}
{357, -51783783492672}
{358, -128650208125160}
{359, -53849513174280}
{360, -140605297875000}
{361, -116346269006619}
{362, -897013840612}
{363, 51915189480264}
{364, -5857479765984}
{365, 30877563931250}
{366, 293477213693664}
{367, 45567121790964}
{368, 51018407999808}
{369, 86126846059314}
{370, -30954933012500}
{371, 11321664998952}
{372, 121122286357248}
{373, 169341209790958}
{374, 59360619902512}
{375, -24169921875000}
{376, -162282053603040}
{377, -26069496801820}
{378, 129046012824960}
{379, -59380200441740}
{380, 1057744750000}
{381, 42605542992672}
{382, 108408654790928}
{383, 121002509761308}
{384, 20187288253440}
{385, 25718881650000}
{386, -73866783590428}
{387, -792141729714864}
{388, -112833070695608}
{389, 153361697488830}
{390, 31475634300000}
{391, 120883217622312}
{392, 166844596155720}
{393, -420953764597344}
{394, 105074429497116}
{395, -64902769500000}
{396, 188220427790832}
{397, 133061282073574}
{398, 153213288276400}
{399, -5276145409920}
{400, -15349843750000}
{401, -125079682705998}
{402, -102209911195392}
{403, -64128989210544}
{404, -29338335189384}
{405, 285898055878125}
{406, -41602244985840}
{407, 136576951878248}
{408, -294845465819520}
{409, 191901522661370}
{410, 20330219462500}
{411, -311119483398768}
{412, -67990373938736}
{413, -16249293226320}
{414, -496737925889976}
{415, 10015193775000}
{416, -56583601530688}
{417, 828461248100640}
{418, 6048134012320}
{419, -339088245781060}
{420, -38758381200000}
{421, 409834586687422}
{422, -356113889925592}
{423, 730751411781108}
{424, 64463068654320}
{425, -36369980468750}
{426, 618453860707584}
{427, 191335634417928}
{428, -49824062530848}
{429, -138874349668032}
{430, -186984847900000}
{431, -558967690788168}
{432, 339816151445760}
{433, -325999693255742}
{434, -102338374235328}
{435, -172499357250000}
{436, 148194015190360}
{437, 12316547590320}
{438, -266070733293024}
{439, 89133625453480}
{440, 146437651500000}
{441, -751296409442019}
{442, 47363339056408}
{443, 555014045773008}
{444, -205821607489344}
{445, 197426003531250}
{446, -123691367745928}
{447, -352668837272400}
{448, -146811729216768}
{449, -241404543824750}
{450, 149452910156250}
{451, -89699415730696}
{452, 160070875851464}
{453, -211158940886784}
{454, 563937483801056}
{455, 20520879225000}
{456, -30041210707200}
{457, 36095403680794}
{458, -349513119198660}
{459, 805161732740640}
{460, 90476931450000}
{461, 258826949138262}
{462, -221618574422784}
{463, -564822897844692}
{464, -109550961499040}
{465, -424335364200000}
{466, 99538391393172}
{467, -388269793297936}
{468, 150179495319288}
{469, -66636853867584}
{470, 172493679425000}
{471, 1282712953187952}
{472, -92519899231200}
{473, 825000027080896}
{474, 559264568670720}
{475, -3705664062500}
{476, -58322139994272}
{477, -290275340871114}
{478, 455464385494720}
{479, 264818742090960}
{480, -374408258400000}
{481, 108973600506932}
{482, -568758633922172}
{483, -451308736416384}
{484, 58470137646964}
{485, 395295230856250}
{486, -1161446682444048}
{487, -960424464775396}
{488, 1089422990226480}
{489, -1233237486102336}
{490, -177343320743750}
{491, 237919600117292}
{492, 135177112116288}
{493, -259570481299060}
{494, 4825755228880}
{495, -659404525612500}
{496, -269487074544768}
{497, 403207664088768}
{498, -86300524151424}
{499, -926509083889700}
{500, -27221679687500}
{501, 641673544751712}
{502, 640351820048568}
{503, -221172315836092}
{504, 789909315037920}
{505, 102782844693750}
{506, 517342777104864}
{507, 1308584357208216}
{508, 47985030744272}
{509, -222666755375930}
{510, 313398666900000}
{511, -173467683960648}
{512, -559560139398656}
{513, 82036307390400}
{514, -40853145284604}
{515, 238194975962500}
{516, -1243275892581888}
{517, -761063218732112}
{518, 173902337269584}
{519, 2874323961940464}
{520, 116841369750000}
{521, -1004490588837478}
{522, 1066636916512380}
{523, -1019538444892592}
{524, -474104492450544}
{525, 135784687500000}
{526, 129084416643272}
{527, -638523739876752}
{528, -583586965615104}
{529, 100717978366537}
{530, -68519418212500}
{531, 416614440598740}
{532, -5942325385920}
{533, -71570408924164}
{534, -1701211975388640}
{535, 174551788575000}
{536, -379415579437440}
{537, 2996793083386080}
{538, -875236350481940}
{539, 782460429598316}
{540, 602635869000000}
{541, 1576723717969542}
{542, 544490606171248}
{543, 20895145934256}
{544, -563395327290304}
{545, -519177463531250}
{546, -176827595446656}
{547, -273963507086576}
{548, -350402246454168}
{549, -4905640337052546}
{550, -155652265625000}
{551, -26447113576600}
{552, -2569652614045440}
{553, 364618566829440}
{554, -787507094500644}
{555, 721067851350000}
{556, 933064941042640}
{557, 91000471705494}
{558, 2623846092258096}
{559, 658260578618464}
{560, 86234194200000}
{561, -1382753263611456}
{562, 1264108632503988}
{563, 102926393251608}
{564, 1146923056388736}
{565, -560786420443750}
{566, 325653986028672}
{567, -1606152406078836}
{568, 2295775695050880}
{569, 2339556432974490}
{570, 31931559000000}
{571, -226931239783828}
{572, -156408989777632}
{573, -2525283958659264}
{574, -114213546522768}
{575, -316973554687500}
{576, 3764095187962176}
{577, 2421511880192834}
{578, -693654063326458}
{579, 1720661547165264}
{580, -194279579125000}
{581, -56264557412448}
{582, -3406243192479072}
{583, 302316056705896}
{584, -987686812981680}
{585, -526133321606250}
{586, -2213578019642628}
{587, 1604253787184904}
{588, -1179168675255648}
{589, -65057897898720}
{590, 98341729625000}
{591, -2447616122403408}
{592, 457936062375904}
{593, -2020528622020942}
{594, 3445843145374080}
{595, 204323640675000}
{596, -397197730867400}
{597, -3568968362203200}
{598, 412783448027376}
{599, 1257878419261400}
{600, 773128125000000}
{601, -850069615091398}
{602, 1050465916714368}
{603, 1708497422665488}
{604, -237820423321984}
{605, -204842130209375}
{606, -885675661412256}
{607, -2257710792441356}
{608, -57403215245440}
{609, 969087589081920}
{610, -1157975117162500}
{611, -607245937312808}
{612, 1495317081784104}
{613, 3375833969205358}
{614, -1148763476919104}
{615, -473574523950000}
{616, -822675011114880}
{617, -1761143658313686}
{618, -2052516580069824}
{619, -536922678085660}
{620, -477913061700000}
{621, 7017187615606080}
{622, 1065110845778208}
{623, -1109123493758280}
{624, -465639128545536}
{625, 95367431640625}
{626, 2172692665301972}
{627, -140885945228160}
{628, 1444671659398552}
{629, 1085035516700156}
{630, -839614493025000}
{631, -1361520603114368}
{632, 2076057868550400}
{633, 8295358847678496}
{634, 392758498204076}
{635, -168108992237500}
{636, -455590609581888}
{637, 624318591789494}
{638, -1110881363774320}
{639, -10337811810016176}
{640, -79653126000000}
{641, -2148959139283758}
{642, -1504105780079232}
{643, -557356122582792}
{644, -508292162731584}
{645, 4355647045200000}
{646, 48049397229040}
{647, 241894180790524}
{648, -9145078292984760}
{649, -433895743505360}
{650, -124193632812500}
{651, 2383882129246464}
{652, -1388949289903136}
{653, -3139585213786042}
{654, 4473731436150240}
{655, 1660960245412500}
{656, -300757900013408}
{657, 4447525262093586}
{658, -969055691515296}
{659, 1061987922234220}
{660, -1034943267600000}
{661, -887576148441938}
{662, 3991480646996088}
{663, -1103287192137504}
{664, -320358006319680}
{665, 20818124250000}
{666, -4458669306491988}
{667, -2262222225277320}
{668, 722692931715312}
{669, 2881281272199264}
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