Table of coefficients c19(n) of the weight 19 newform on S19(Gamma_0(3),chi3) for n up to 1000

{1, 1}
{2, 0}
{3, -19683}
{4, 262144}
{5, 0}
{6, 0}
{7, 77549186}
{8, 0}
{9, 387420489}
{10, 0}
{11, 0}
{12, -5159780352}
{13, -7197541846}
{14, 0}
{15, 0}
{16, 68719476736}
{17, 0}
{18, 0}
{19, 308559680858}
{20, 0}
{21, -1526400628038}
{22, 0}
{23, 0}
{24, 0}
{25, 3814697265625}
{26, 0}
{27, -7625597484987}
{28, 20329053814784}
{29, 0}
{30, 0}
{31, -50018992173358}
{32, 0}
{33, 0}
{34, 0}
{35, 0}
{36, 101559956668416}
{37, -23240947030054}
{38, 0}
{39, 141669216154818}
{40, 0}
{41, 0}
{42, 0}
{43, -730385642547286}
{44, 0}
{45, 0}
{46, 0}
{47, 0}
{48, -1352605460594688}
{49, 4385462651352147}
{50, 0}
{51, 0}
{52, -1886792409677824}
{53, 0}
{54, 0}
{55, 0}
{56, 0}
{57, -6073380198328014}
{58, 0}
{59, 0}
{60, 0}
{61, -9487161099916918}
{62, 0}
{63, 30044143561671954}
{64, 18014398509481984}
{65, 0}
{66, 0}
{67, -41747295001607494}
{68, 0}
{69, 0}
{70, 0}
{71, 0}
{72, 0}
{73, -29908998244279726}
{74, 0}
{75, -75084686279296875}
{76, 80887068978839552}
{77, 0}
{78, 0}
{79, 140655567501204338}
{80, 0}
{81, 150094635296999121}
{82, 0}
{83, 0}
{84, -400136766236393472}
{85, 0}
{86, 0}
{87, 0}
{88, 0}
{89, 0}
{90, 0}
{91, -558163511358237356}
{92, 0}
{93, 984523822948205514}
{94, 0}
{95, 0}
{96, 0}
{97, 140873967896062466}
{98, 0}
{99, 0}
{100, 1000000000000000000}
{101, 0}
{102, 0}
{103, -2605667746131672766}
{104, 0}
{105, 0}
{106, 0}
{107, 0}
{108, -1999004627104432128}
{109, 674620169219145578}
{110, 0}
{111, 457451560392552882}
{112, 5329139483222736896}
{113, 0}
{114, 0}
{115, 0}
{116, 0}
{117, -2788475181575282694}
{118, 0}
{119, 0}
{120, 0}
{121, 5559917313492231481}
{122, 0}
{123, 0}
{124, -13112178684292759552}
{125, 0}
{126, 0}
{127, -11989811549010251374}
{128, 0}
{129, 14376180602258230338}
{130, 0}
{131, 0}
{132, 0}
{133, 23928552082957681588}
{134, 0}
{135, 0}
{136, 0}
{137, 0}
{138, 0}
{139, -25339560906387984982}
{140, 0}
{141, 0}
{142, 0}
{143, 0}
{144, 26623333280885243904}
{145, 0}
{146, 0}
{147, -86319061366564309401}
{148, -6092474818246475776}
{149, 0}
{150, 0}
{151, 80016194234439036002}
{152, 0}
{153, 0}
{154, 0}
{155, 0}
{156, 37137734999688609792}
{157, 37089496741469392586}
{158, 0}
{159, 0}
{160, 0}
{161, 0}
{162, 0}
{163, -138736327966851125446}
{164, 0}
{165, 0}
{166, 0}
{167, 0}
{168, 0}
{169, -60650798327036305413}
{170, 0}
{171, 119542342443690299562}
{172, -191466213879915741184}
{173, 0}
{174, 0}
{175, 295826667785644531250}
{176, 0}
{177, 0}
{178, 0}
{179, 0}
{180, 0}
{181, -10366375094540042758}
{182, 0}
{183, 186735791929664696994}
{184, 0}
{185, 0}
{186, 0}
{187, 0}
{188, 0}
{189, -591358877724389070582}
{190, 0}
{191, 0}
{192, -354577405862133891072}
{193, -201075193921301013886}
{194, 0}
{195, 0}
{196, 1149622721276057223168}
{197, 0}
{198, 0}
{199, -588367986538591816702}
{200, 0}
{201, 821712007516640304402}
{202, 0}
{203, 0}
{204, 0}
{205, 0}
{206, 0}
{207, 0}
{208, -494611309442583494656}
{209, 0}
{210, 0}
{211, 790504841921477782682}
{212, 0}
{213, 0}
{214, 0}
{215, 0}
{216, 0}
{217, -3878932127584283786588}
{218, 0}
{219, 588698812442157846858}
{220, 0}
{221, 0}
{222, 0}
{223, 2709879034236551713874}
{224, 0}
{225, 1477891880035400390625}
{226, 0}
{227, 0}
{228, -1592100178710498902016}
{229, 1694536575556489010138}
{230, 0}
{231, 0}
{232, 0}
{233, 0}
{234, 0}
{235, 0}
{236, 0}
{237, -2768523535126204984854}
{238, 0}
{239, 0}
{240, 0}
{241, 2942052768578985354722}
{242, 0}
{243, -2954312706550833698643}
{244, -2487002359376620552192}
{245, 0}
{246, 0}
{247, -2220871214963860183868}
{248, 0}
{249, 0}
{250, 0}
{251, 0}
{252, 7875891969830932709376}
{253, 0}
{254, 0}
{255, 0}
{256, 4722366482869645213696}
{257, 0}
{258, 0}
{259, -1802316524049805236044}
{260, 0}
{261, 0}
{262, 0}
{263, 0}
{264, 0}
{265, 0}
{266, 0}
{267, 0}
{268, -10943802900901394907136}
{269, 0}
{270, 0}
{271, -13468237815301957754638}
{272, 0}
{273, 10986332394064185878148}
{274, 0}
{275, 0}
{276, 0}
{277, 17473718288344152986426}
{278, 0}
{279, -19378382407089529132062}
{280, 0}
{281, 0}
{282, 0}
{283, 18803575144146953171594}
{284, 0}
{285, 0}
{286, 0}
{287, 0}
{288, 0}
{289, 14063084452067724991009}
{290, 0}
{291, -2772822310098197518278}
{292, -7840464435748464492544}
{293, 0}
{294, 0}
{295, 0}
{296, 0}
{297, 0}
{298, 0}
{299, 0}
{300, -19683000000000000000000}
{301, -56640812045628995809196}
{302, 0}
{303, 0}
{304, 21204059810388915519488}
{305, 0}
{306, 0}
{307, 30492105344989892160986}
{308, 0}
{309, 51287358247109715053178}
{310, 0}
{311, 0}
{312, 0}
{313, -50917916037963775884046}
{314, 0}
{315, 0}
{316, 36872013087035709980672}
{317, 0}
{318, 0}
{319, 0}
{320, 0}
{321, 0}
{322, 0}
{323, 0}
{324, 39346408075296537575424}
{325, -27456443199157714843750}
{326, 0}
{327, -13278548790740442411774}
{328, 0}
{329, 0}
{330, 0}
{331, -83947633607703104953558}
{332, 0}
{333, -9004019063206618376406}
{334, 0}
{335, 0}
{336, -104893452448273130323968}
{337, 86997845848463599813346}
{338, 0}
{339, 0}
{340, 0}
{341, 0}
{342, 0}
{343, 213806909856474178357828}
{344, 0}
{345, 0}
{346, 0}
{347, 0}
{348, 0}
{349, -124117933738899120350902}
{350, 0}
{351, 54885556998946289266002}
{352, 0}
{353, 0}
{354, 0}
{355, 0}
{356, 0}
{357, 0}
{358, 0}
{359, 0}
{360, 0}
{361, -8918273646720429916677}
{362, 0}
{363, -109435852481467592240523}
{364, -146319215521493773451264}
{365, 0}
{366, 0}
{367, 74108178633803681216306}
{368, 0}
{369, 0}
{370, 0}
{371, 0}
{372, 258087013042934386262016}
{373, -277992029923966160110726}
{374, 0}
{375, 0}
{376, 0}
{377, 0}
{378, 0}
{379, 269326452991279337417738}
{380, 0}
{381, 235995460719168777794442}
{382, 0}
{383, 0}
{384, 0}
{385, 0}
{386, 0}
{387, -282966362794248747742854}
{388, 36929265440145399087104}
{389, 0}
{390, 0}
{391, 0}
{392, 0}
{393, 0}
{394, 0}
{395, 0}
{396, 0}
{397, -440794306376336610587734}
{398, 0}
{399, -470985690648856046696604}
{400, 262144000000000000000000}
{401, 0}
{402, 0}
{403, 360013789262490691338868}
{404, 0}
{405, 0}
{406, 0}
{407, 0}
{408, 0}
{409, 640493905711719833723378}
{410, 0}
{411, 0}
{412, -683060165641941225570304}
{413, 0}
{414, 0}
{415, 0}
{416, 0}
{417, 498758577320434708400706}
{418, 0}
{419, 0}
{420, 0}
{421, 602316625457333026883162}
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{423, 0}
{424, 0}
{425, 0}
{426, 0}
{427, -735721620749421658528748}
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{429, 0}
{430, 0}
{431, 0}
{432, -524027068967664255762432}
{433, -693812814827288064679006}
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{435, 0}
{436, 176847629639783698399232}
{437, 0}
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{439, -995932186988688755061982}
{440, 0}
{441, 1699018084878085301939883}
{442, 0}
{443, 0}
{444, 119918181847545382699008}
{445, 0}
{446, 0}
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{448, 1397001940689941140865024}
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{453, -1574958751116463545627366}
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{457, 776662347243832725032786}
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{463, 1464144486195933885741554}
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{468, -730982037998870906535936}
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{475, 1177061770851135253906250}
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{481, 167277688789483084639684}
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{487, 480566529968313682119746}
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{496, -3437278969015241159999488}
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{499, 891418960423386985841498}
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{506, 0}
{507, 1193789663471055599444079}
{508, -3143057158703743336185856}
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{511, -2319418467919321907603036}
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{523, 5853694605759217207389674}
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{529, 3244150909895248285300369}
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