Table of coefficients c20p(n) of the (plus) weight 20 newform on Gamma_0(2) for n up to 1000

{1, 1}
{2, -512}
{3, -13092}
{4, 262144}
{5, 6546750}
{6, 6703104}
{7, 96674264}
{8, -134217728}
{9, -990861003}
{10, -3351936000}
{11, 11799694452}
{12, -3431989248}
{13, 34401727958}
{14, -49497223168}
{15, -85710051000}
{16, 68719476736}
{17, -400697609166}
{18, 507320833536}
{19, 814875924620}
{20, 1716191232000}
{21, -1265659464288}
{22, -6041443559424}
{23, -4937767258872}
{24, 1757178494976}
{25, 23786449234375}
{26, -17613684714496}
{27, 28188679377240}
{28, 25342578262016}
{29, -96707212093050}
{30, 43883546112000}
{31, -58447954952608}
{32, -35184372088832}
{33, -154481599765584}
{34, 205157175892992}
{35, 632902237842000}
{36, -259748266770432}
{37, 246079341597854}
{38, -417216473405440}
{39, -450387422426136}
{40, -878689910784000}
{41, -2049265663743558}
{42, 648017645715456}
{43, 5698694101737428}
{44, 3093219102425088}
{45, -6486919271390250}
{46, 2528136836542464}
{47, -241487233520496}
{48, -899675389427712}
{49, -2052981865431447}
{50, -12178662008000000}
{51, 5245933099201272}
{52, 9018206573821952}
{53, -16046376246286002}
{54, -14432603841146880}
{55, 77249649653631000}
{56, -12975400070152192}
{57, -10668355605125040}
{58, 49514092591641600}
{59, -93238940947295100}
{60, -22468375609344000}
{61, -41317614065038618}
{62, 29925352935735296}
{63, -95790758191326792}
{64, 18014398509481984}
{65, 225219512509036500}
{66, 79094579079979008}
{67, 98205550162519964}
{68, -105040474057211904}
{69, 64645248953152224}
{70, -324045945775104000}
{71, -104472325601031528}
{72, 132991112586461184}
{73, -171327195230673382}
{74, -125992622898101248}
{75, -311412193376437500}
{76, 213614834383585280}
{77, 1140726776571983328}
{78, 230598360282181632}
{79, -1498327037960173840}
{80, 449889234321408000}
{81, 782593372533045321}
{82, 1049224019836701696}
{83, 311954564984060748}
{84, -331785034606313472}
{85, -2623267072807510500}
{86, -2917731380089563136}
{87, 1266090820722210600}
{88, -1583728180441645056}
{89, 1106996465738312010}
{90, 3321302666951808000}
{91, 3325761730667872912}
{92, -1294406060309741568}
{93, 765200626239543936}
{94, 123641463562493952}
{95, 5334788959505985000}
{96, 460633799386988544}
{97, -11800957746149561566}
{98, 1051126715100900864}
{99, -11691857079802255356}
{100, 6235474948096000000}
{101, -391372819621242018}
{102, -2685917746791051264}
{103, 14612934919151762168}
{104, -4617321765796839424}
{105, -8285956097827464000}
{106, 8215744638098433024}
{107, 14577907562236346004}
{108, 7389493166667202560}
{109, 13760483493617425910}
{110, -39551820622659072000}
{111, -3221670740199104568}
{112, 6643404835917922304}
{113, 16151240738720904018}
{114, 5462198069824020480}
{115, -32326327802020266000}
{116, -25351215406920499200}
{117, -34087330669397021874}
{118, 47738337765015091200}
{119, -38737146452682703824}
{120, 11503808311984128000}
{121, 78073698712145034013}
{122, 21154618401299772416}
{123, 26828986069730661336}
{124, -15321780703096471552}
{125, 30854589906492187500}
{126, 49044868193959317504}
{127, -85928494336709416576}
{128, -9223372036854775808}
{129, -74607303179946407376}
{130, -115312390404626688000}
{131, -29453680494313110948}
{132, -40496424488949252096}
{133, 78777530263957979680}
{134, -50281241683210221568}
{135, 184544236712945970000}
{136, 53780722717292494848}
{137, 252613991675590667994}
{138, -33098367464013938688}
{139, -406763739109972039180}
{140, 165911524236853248000}
{141, 3161550861250333632}
{142, 53489830707728142336}
{143, 405929878525225889016}
{144, -68091449644268126208}
{145, -633117940770175087500}
{146, 87719523958104771584}
{147, 26877638582228504124}
{148, 64508222923827838976}
{149, -848383215596441519250}
{150, 159443043008736000000}
{151, 785017868123584738952}
{152, -109370795204395663360}
{153, 397035634917924753498}
{154, -584052109604855463936}
{155, -382644149085986424000}
{156, -118066360464476995584}
{157, 1195663996881215422214}
{158, 767143443435609006080}
{159, 210079157816376338184}
{160, -230343287972560896000}
{161, -477355015554748070208}
{162, -400687806736919204352}
{163, 187094503857469520828}
{164, -537202698156391268352}
{165, -1011352413265337052000}
{166, -159720737271839102976}
{167, -725160028984258980936}
{168, 169873937718432497664}
{169, -278441403879207260913}
{170, 1343112741277445376000}
{171, -807428775989525593860}
{172, 1493878466605856325632}
{173, 907282702155258413238}
{174, -648238500209771827200}
{175, 2299537472906566625000}
{176, 810868828386122268672}
{177, 1220684214881987449200}
{178, -566782190458015749120}
{179, -4308573788715900019860}
{180, -1700506965479325696000}
{181, 1443321328707770267342}
{182, -1702790006101950930944}
{183, 540930203339485586856}
{184, 662735902878587682816}
{185, 1611019929605750674500}
{186, -391782720634646495232}
{187, -4728109355805714547032}
{188, -63304429343996903424}
{189, 2725119831926655351360}
{190, -2731411947267064320000}
{191, 5802067125475892530752}
{192, -235844505286138134528}
{193, -1972510223849651972542}
{194, 6042090366028575521792}
{195, -2948573857768305858000}
{196, -538176878131661242368}
{197, -2190935392744702424706}
{198, 5986230824858754742272}
{199, 6386411776885252422680}
{200, -3192563173425152000000}
{201, -1285707062727711368688}
{202, 200382883646075913216}
{203, -9349098552587508265200}
{204, 1375189886357018247168}
{205, -13416029984113138336500}
{206, -7481822678605702230016}
{207, 4892641018706470568616}
{208, 2364068744087981785088}
{209, 9615286926806984208240}
{210, 4242409522087661568000}
{211, 242184851967335948492}
{212, -4206461254706397708288}
{213, 1367751686768704764576}
{214, -7463888671865009154048}
{215, 37307925610549506759000}
{216, -3783420501333607710720}
{217, -5650413027348533280512}
{218, -7045367548732122065920}
{219, 2243015639959975917144}
{220, 20250532158801444864000}
{221, -13784690143949739263028}
{222, 1649495418981941538816}
{223, -33406867422129951245152}
{224, -3401423275989976219648}
{225, -23569064946181394578125}
{226, -8269435258225102857216}
{227, 7682425547286208939644}
{228, -2796645411749898485760}
{229, 40931705102266784504030}
{230, 16551079834634376192000}
{231, -14934394958880405730176}
{232, 12979822288343295590400}
{233, -16593548176202122546182}
{234, 17452713302731275199488}
{235, -1580956546050307188000}
{236, -24442028935687726694400}
{237, 19616097580974595913280}
{238, 19833418983773544357888}
{239, -1339433531408172932400}
{240, -5889949855735873536000}
{241, 67571548409846013412562}
{242, -39973733740618257414656}
{243, -43008328278986238153612}
{244, -10831164621465483476992}
{245, -13440359027513325647250}
{246, -13736440867702098604032}
{247, 28033139878300954525960}
{248, 7844751719985393434624}
{249, -4084109164771323312816}
{250, -15797550032124000000000}
{251, -36237373404612211308348}
{252, -25110972515307170562048}
{253, -58264144929779186178144}
{254, 43995389100395221286912}
{255, 34343812517195927466000}
{256, 4722366482869645213696}
{257, 51416797435875675542274}
{258, 38198939228132560576512}
{259, 23789539234577119429456}
{260, 59039943887168864256000}
{261, 95823405171853252329150}
{262, 15080284413088312805376}
{263, -121134711229091644259112}
{264, 20734169338342017073152}
{265, -105051613690372883593500}
{266, -40334095495146485596160}
{267, -14492797729445980834920}
{268, 25743995741803633442816}
{269, 9097492105323750158550}
{270, -94486649197028336640000}
{271, -55095396820847460487888}
{272, -27535730031253757362176}
{273, -43540872577903792163904}
{274, -129338363737902422012928}
{275, 280672833063634335187500}
{276, 16946364141575136608256}
{277, -106104119614753518638866}
{278, 208263034424305684060160}
{279, 57913799267639980345824}
{280, -84946700409268862976000}
{281, 3262974663518916182922}
{282, -1618714040960170819584}
{283, 384664106410680380905508}
{284, -27386793322356808876032}
{285, -69843057057852355620000}
{286, -207836097804915655176192}
{287, -198111249782879954391312}
{288, 34862822217865280618496}
{289, -78513861693802837631597}
{290, 324156385674329644800000}
{291, 154498138812590060022072}
{292, -44912396266549643051008}
{293, -369503943707454543929442}
{294, -13761350954100994111488}
{295, -610412036646704195925000}
{296, -33028210136999853555712}
{297, 332617803656825643072480}
{298, 434372206385378057856000}
{299, -169867725959633905943376}
{300, -81634838020472832000000}
{301, 550917058046606973152992}
{302, -401929148479275386343424}
{303, 5123852954481300499656}
{304, 55997847144650579640320}
{305, -270496089880291572391500}
{306, -203282245077977473790976}
{307, 415635084267392698564844}
{308, 299034680117685997535232}
{309, -191312543961534870303456}
{310, 195913804332025049088000}
{311, 726286239147121697041512}
{312, 60449976557812221739008}
{313, 479805149094170479518698}
{314, -612179966403182296173568}
{315, -627118146189068675526000}
{316, -392777443039031811112960}
{317, 255157992919272192919014}
{318, -107560528801984685150208}
{319, -1141115554002749392758600}
{320, 117935763441951178752000}
{321, -190853965804798241884368}
{322, 244405767964031011946496}
{323, -326518834762167637066920}
{324, 205152157049302632628224}
{325, 818294955647746132156250}
{326, -95792385975024394663936}
{327, -180152249898439340013720}
{328, 275047781456072329396224}
{329, -23345600565990079714944}
{330, 517812435591852570624000}
{331, 699395317020421562529332}
{332, 81777017483181620723712}
{333, -243830423233229237087562}
{334, 371281934839940598239232}
{335, 642927185526477574317000}
{336, -86975456111837438803968}
{337, -723672001679645850739726}
{338, 142561998786154117587456}
{339, -211452043751334075403656}
{340, -687673723534052032512000}
{341, -689668009785034540530816}
{342, 413403533306637104056320}
{343, -1300450313305024346071760}
{344, -764865774902198438723584}
{345, 423216283584049322472000}
{346, -464528743503492307577856}
{347, 2036530578728458884804324}
{348, 331898112107403175526400}
{349, -151885619090480201212090}
{350, -1177363186128162112000000}
{351, 969739279431095336875920}
{352, -415164840133694601560064}
{353, -161435824658582455630302}
{354, -624990318019577573990400}
{355, -683954197628553155934000}
{356, 290192481514504063549440}
{357, 507146721358521958463808}
{358, 2205989779822540810168320}
{359, 2257084938357353789808120}
{360, 870659566325414756352000}
{361, -1314396883135013666979579}
{362, -738980520298378376879104}
{363, -1022140863539402785298196}
{364, 871828483124198876643328}
{365, -1121636315376410963608500}
{366, -276956264109816620470272}
{367, 113267955955985832213584}
{368, -339320782273836893601792}
{369, 2030537430990402614668674}
{370, -824842203958144345344000}
{371, -1551271613476781976852528}
{372, 200592752964939005558784}
{373, -3882310402380542771256562}
{374, 2420791990172525848080384}
{375, -403948291055795718750000}
{376, 32411867824126414553088}
{377, -3326895202001713882491900}
{378, -1395261353946447539896320}
{379, 1161979904417170958956100}
{380, 1398482917000736931840000}
{381, 1124975847856199681812992}
{382, -2970658368243656975745024}
{383, 5463794147779710550359168}
{384, 120752386706502724878336}
{385, 7468053024522631852584000}
{386, 1009925234611021809941504}
{387, -5646613753437731950720284}
{388, -3093550267406630667157504}
{389, 4788115316845742001716670}
{390, 1509669815177372599296000}
{391, 1978551535248163802020752}
{392, 275546561603410556092416}
{393, 385607585031547248531216}
{394, 1121758921085287641449472}
{395, -9809172535765768087020000}
{396, -3064950182327682428043264}
{397, 2592645605507683257497174}
{398, -3269842829765249240412160}
{399, -1031355426215737869970560}
{400, 1634592344793677824000000}
{401, -7781716010000512153132878}
{402, 658282016116588220768256}
{403, -2010710645981059198614464}
{404, -102596036426790867566592}
{405, 5123443161630714455256750}
{406, 4786738458924804231782400}
{407, 2903661041804010658906008}
{408, -704097221814793342550016}
{409, 2583526332197082547989770}
{410, 6869007351865926828288000}
{411, -3307222379016833025377448}
{412, 3830693211446119541768192}
{413, -9013805992219216583306400}
{414, -2505032201577712931131392}
{415, 2042288548309399701969000}
{416, -1210403196973046673965056}
{417, 5325350872427753936944560}
{418, -4923026906525175914618880}
{419, 10221733684701865306097340}
{420, -2172113675308882722816000}
{421, 2403887637800111783505182}
{422, -123998644207276005627904}
{423, 239280282417813887617488}
{424, 2153708162409675626643456}
{425, -9531173338762493682281250}
{426, -700288863625576839462912}
{427, -3994349929973656526727152}
{428, 3821510999994884686872576}
{429, -5314433969652257338997472}
{430, -19101657912601347460608000}
{431, 2334834505038486486169872}
{432, 1937111296682807147888640}
{433, 9083034836465331532102418}
{434, 2893011470002449039622144}
{435, 8288780080563132245550000}
{436, 3607228184950846497751040}
{437, -4023667660631683898228640}
{438, -1148424007659507669577728}
{439, -18078807075600700630299160}
{440, -10368272465306339770368000}
{441, 2034219670322214602161341}
{442, 7057761353702266502670336}
{443, 25369859797290077264739588}
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{446, 17104316120130535037517824}
{447, 11107033058588612370021000}
{448, 1741528717306867824459776}
{449, -21527956224043067123832510}
{450, 12067361252444874024000000}
{451, -24180708683148958883340216}
{452, 4233950852211252662894592}
{453, -10277453929473971402359584}
{454, -3933401880210538977097728}
{455, 21772930610249896986636000}
{456, 1431882450815948024709120}
{457, -24363068795824353076559206}
{458, -20957033012360593666063360}
{459, -11295136432006997795781840}
{460, -8474152875332800610304000}
{461, 10663719288907973649701142}
{462, 7646410218946767733850112}
{463, 4249502652592317726897008}
{464, -6645669011631767342284800}
{465, 5009577199833734263008000}
{466, 8495896666215486743645184}
{467, -3294753362013443252778036}
{468, -8935789210998412902137856}
{469, 9493949282676697905006496}
{470, 809449751577757280256000}
{471, -15653633047168872307625688}
{472, 12514318815072116067532800}
{473, 67242849175916252732349456}
{474, -10043441961458993107599360}
{475, 19383004813288019212812500}
{476, -10154710519692054711238656}
{477, 15899728461910322966580006}
{478, 685789968080984541388800}
{479, -39513241797952116371779680}
{480, 3015654326136767250432000}
{481, 8465554565733126344602132}
{482, -34596632785841158867231744}
{483, 6249531863642761735163136}
{484, 20466551675196547796303872}
{485, -77257920124604642182210500}
{486, 22020264078840953934649344}
{487, -14520517571137471109468296}
{488, 5545556286190327540219904}
{489, -2449441244501990966680176}
{490, 6881463822086822731392000}
{491, 27010222877306895382918932}
{492, 7033057724263474485264384}
{493, 38750348674794417724896300}
{494, -14352967617690088717291520}
{495, -76543665337195415251893000}
{496, -4016512880632521438527488}
{497, -10099785185848080610195392}
{498, 2091063892362917536161792}
{499, 26088260998751216191355180}
{500, 8088345616447488000000000}
{501, 9493795099461918578414112}
{502, 18553535183161452189874176}
{503, -9781651040813865161249112}
{504, 12856817927837271327768576}
{505, -2562220006855366181341500}
{506, 29831242204046943323209728}
{507, 3645354859586581459872996}
{508, -22525639219402353298898944}
{509, 56490763779422822698235430}
{510, -17584032008804314862592000}
{511, -16562930502109659429240848}
{512, -2417851639229258349412352}
{513, 22970276171345170783648800}
{514, -26325400287168345877644288}
{515, 95667231681956798973354000}
{516, -19557856884803871015174144}
{517, -2849475569600625079488192}
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