Table of coefficients c31(n) of the weight 31 newform on S31(Gamma_0(3),chi3) for n up to 1000

{1, 1}
{2, 0}
{3, -14348907}
{4, 1073741824}
{5, 0}
{6, 0}
{7, -7945347009886}
{8, 0}
{9, 205891132094649}
{10, 0}
{11, 0}
{12, -15407021574586368}
{13, 55850658624240986}
{14, 0}
{15, 0}
{16, 1152921504606846976}
{17, 0}
{18, 0}
{19, 28940493759797289098}
{20, 0}
{21, 114007045327582294602}
{22, 0}
{23, 0}
{24, 0}
{25, 931322574615478515625}
{26, 0}
{27, -2954312706550833698643}
{28, -8531251390707939672064}
{29, 0}
{30, 0}
{31, -1270857018296013447598}
{32, 0}
{33, 0}
{34, 0}
{35, 0}
{36, 221073919720733357899776}
{37, 521553913039741594825514}
{38, 0}
{39, -801395906487981853702302}
{40, 0}
{41, 0}
{42, 0}
{43, -4278656344192287237068614}
{44, 0}
{45, 0}
{46, 0}
{47, 0}
{48, -16543163447903718821855232}
{49, 40589198816812142893869747}
{50, 0}
{51, 0}
{52, 59969188062793846923198464}
{53, 0}
{54, 0}
{55, 0}
{56, 0}
{57, -415264453493411640119315886}
{58, 0}
{59, 0}
{60, 0}
{61, 414395013858362544235447802}
{62, 0}
{63, -1635876490750262880090700014}
{64, 1237940039285380274899124224}
{65, 0}
{66, 0}
{67, 4890570743825011724025759914}
{68, 0}
{69, 0}
{70, 0}
{71, 0}
{72, 0}
{73, -17737305199901923309858827214}
{74, 0}
{75, -13363461010158061981201171875}
{76, 31074618557105359066341834752}
{77, 0}
{78, 0}
{79, -50402513325319934143569889102}
{80, 0}
{81, 42391158275216203514294433201}
{82, 0}
{83, 0}
{84, 122414132798888890516056834048}
{85, 0}
{86, 0}
{87, 0}
{88, 0}
{89, 0}
{90, 0}
{91, -443752863500276856551388387596}
{92, 0}
{93, 18235409165826795430333075386}
{94, 0}
{95, 0}
{96, 0}
{97, -195074671330772376993794786686}
{98, 0}
{99, 0}
{100, 1000000000000000000000000000000}
{101, 0}
{102, 0}
{103, 1306634559263166083032203305186}
{104, 0}
{105, 0}
{106, 0}
{107, 0}
{108, -3172169114198268924301601144832}
{109, 7033135938072831071101049302298}
{110, 0}
{111, -7483728593693339448182981613198}
{112, -9160361429261279794763961204736}
{113, 0}
{114, 0}
{115, 0}
{116, 0}
{117, 11499155332376748236461937083914}
{118, 0}
{119, 0}
{120, 0}
{121, 17449402268886407318558803753801}
{122, 0}
{123, 0}
{124, -1364572332868362851152404938752}
{125, 0}
{126, 0}
{127, -17096972267994764912529808914286}
{128, 0}
{129, 61394041967775119681984494904898}
{130, 0}
{131, 0}
{132, 0}
{133, -229942265559029832852283006022828}
{134, 0}
{135, 0}
{136, 0}
{137, 0}
{138, 0}
{139, 259223918738735780390715491760698}
{140, 0}
{141, 0}
{142, 0}
{143, 0}
{144, 237376313799769806328950291431424}
{145, 0}
{146, 0}
{147, -582410639026947474854847869816529}
{148, 560014249901629524516616364097536}
{149, 0}
{150, 0}
{151, -184787058689945929640207285927998}
{152, 0}
{153, 0}
{154, 0}
{155, 0}
{156, -860492302378539069673210902478848}
{157, -838851767896102506724558549602886}
{158, 0}
{159, 0}
{160, 0}
{161, 0}
{162, 0}
{163, 3018941820018057076019743879842986}
{164, 0}
{165, 0}
{166, 0}
{167, 0}
{168, 0}
{169, 499300425111559066633833169419147}
{170, 0}
{171, 5958591023582788736789532551836602}
{172, -4594172267282198304661974009511936}
{173, 0}
{174, 0}
{175, -7399681033460423350334167480468750}
{176, 0}
{177, 0}
{178, 0}
{179, 0}
{180, 0}
{181, 607389909771609478220227820699402}
{182, 0}
{183, -5946115515117355319517826614252414}
{184, 0}
{185, 0}
{186, 0}
{187, 0}
{188, 0}
{189, 23473039629261882291973606065784698}
{190, 0}
{191, 0}
{192, -17763086495282268024161967871623168}
{193, 21383731243463523187506342420288386}
{194, 0}
{195, 0}
{196, 43582320372262512176212340562198528}
{197, 0}
{198, 0}
{199, -51786707650693448745380342478561502}
{200, 0}
{201, -70174344780065917501955294610313998}
{202, 0}
{203, 0}
{204, 0}
{205, 0}
{206, 0}
{207, 0}
{208, 64391425374343291731291906649358336}
{209, 0}
{210, 0}
{211, -31765055133013707296642482041190198}
{212, 0}
{213, 0}
{214, 0}
{215, 0}
{216, 0}
{217, 10097400010310868040706815448953828}
{218, 0}
{219, 254510942744009106694296494822755098}
{220, 0}
{221, 0}
{222, 0}
{223, -109881232996772561648011790868135214}
{224, 0}
{225, 191751059232884086668491363525390625}
{226, 0}
{227, 0}
{228, -445886811736378986444545817065816064}
{229, -375941811023217259499107239709702102}
{230, 0}
{231, 0}
{232, 0}
{233, 0}
{234, 0}
{235, 0}
{236, 0}
{237, 723220976271276480272208986724911514}
{238, 0}
{239, 0}
{240, 0}
{241, -111183200829025491712166328618136798}
{242, 0}
{243, -608266787713357709119683992618861307}
{244, 444953258036783475900650408376270848}
{245, 0}
{246, 0}
{247, 1616345637395414902682233390662570628}
{248, 0}
{249, 0}
{250, 0}
{251, 0}
{252, -1756509007016906393348081518469185536}
{253, 0}
{254, 0}
{255, 0}
{256, 1329227995784915872903807060280344576}
{257, 0}
{258, 0}
{259, -4143926823464653745532998589803031404}
{260, 0}
{261, 0}
{262, 0}
{263, 0}
{264, 0}
{265, 0}
{266, 0}
{267, 0}
{268, 5251210350875704825376804073044443136}
{269, 0}
{270, 0}
{271, -3826629955675803812891524926050120398}
{272, 0}
{273, 6367368569349167088908212694494957572}
{274, 0}
{275, 0}
{276, 0}
{277, 1629288235612090516031056780485632714}
{278, 0}
{279, -261658190227396265737874277737703102}
{280, 0}
{281, 0}
{282, 0}
{283, -11962513096383852260143367774725429414}
{284, 0}
{285, 0}
{286, 0}
{287, 0}
{288, 0}
{289, 8193465725814765556554001028792218849}
{290, 0}
{291, 2799108316980819075652900971242252202}
{292, -19045286438187375755835934315261198336}
{293, 0}
{294, 0}
{295, 0}
{296, 0}
{297, 0}
{298, 0}
{299, 0}
{300, -14348907000000000000000000000000000000}
{301, 33995409390657953440866352664718318004}
{302, 0}
{303, 0}
{304, 33366117609610556404068818654119067648}
{305, 0}
{306, 0}
{307, 3540151803840106396006610604653279114}
{308, 0}
{309, -18748777773853158650983363231206531702}
{310, 0}
{311, 0}
{312, 0}
{313, -15549246929021564149680770671100780014}
{314, 0}
{315, 0}
{316, -54119286592113331470876610595859202048}
{317, 0}
{318, 0}
{319, 0}
{320, 0}
{321, 0}
{322, 0}
{323, 0}
{324, 45517159607903340355793714778287898624}
{325, 52014979183898294344544410705566406250}
{326, 0}
{327, -100917813493764812265939344041088888286}
{328, 0}
{329, 0}
{330, 0}
{331, -85159743554545937062395483691582518598}
{332, 0}
{333, 107383325604146514261408922150488074586}
{334, 0}
{335, 0}
{336, 131441174234857182476047166278364823552}
{337, 94644679391638158582115614159174244514}
{338, 0}
{339, 0}
{340, 0}
{341, 0}
{342, 0}
{343, -143412389469371949772970492056986239228}
{344, 0}
{345, 0}
{346, 0}
{347, 0}
{348, 0}
{349, -139534312416148262838700613501667234502}
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{351, -165000310442828049407406344256933181998}
{352, 0}
{353, 0}
{354, 0}
{355, 0}
{356, 0}
{357, 0}
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{359, 0}
{360, 0}
{361, 607085561163670615365701629263856360203}
{362, 0}
{363, -250379850361840052178119649094541445507}
{364, -476476009060010296458474117029748015104}
{365, 0}
{366, 0}
{367, 590225074117579683950466371848692828914}
{368, 0}
{369, 0}
{370, 0}
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{372, 19580121499101181793440701292493144064}
{373, 483691971715563216593315709851918651786}
{374, 0}
{375, 0}
{376, 0}
{377, 0}
{378, 0}
{379, -953665494704118099358254088263076360102}
{380, 0}
{381, 245322865055035958216753362838860785402}
{382, 0}
{383, 0}
{384, 0}
{385, 0}
{386, 0}
{387, -880937398549702189230665092832355246486}
{388, -209459833410904039402132850937916555264}
{389, 0}
{390, 0}
{391, 0}
{392, 0}
{393, 0}
{394, 0}
{395, 0}
{396, 0}
{397, -1399697837248277892175719611538581627686}
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{399, 3299420183875822081822953591101998848996}
{400, 1073741824000000000000000000000000000000}
{401, 0}
{402, 0}
{403, -70978201489071427991320293881834851628}
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{405, 0}
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{412, 1402988174964668046009933427649244299264}
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{417, -3719579902157677010398800254733521857086}
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{427, -3292512184271208372757254599588930970572}
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{432, -3406090650715713572422119139372399853568}
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{436, 7551772210586272679127914366163381911552}
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{448, -9835863189554253539404201353438470078464}
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