Table of coefficients c22(n) of the weight 22 newform on Gamma_0(1) for n up to 1000

{1, 1}
{2, -288}
{3, -128844}
{4, -2014208}
{5, 21640950}
{6, 37107072}
{7, -768078808}
{8, 1184071680}
{9, 6140423133}
{10, -6232593600}
{11, -94724929188}
{12, 259518615552}
{13, -80621789794}
{14, 221206696704}
{15, -2788306561800}
{16, 3883087691776}
{17, 3052282930002}
{18, -1768441862304}
{19, -7920788351740}
{20, -43589374617600}
{21, 98962345937952}
{22, 27280779606144}
{23, -73845437470344}
{24, -152560531537920}
{25, -8506441300625}
{26, 23219075460672}
{27, 556597069939080}
{28, 1547070479704064}
{29, -4253031736469010}
{30, 803032289798400}
{31, 1900541176310432}
{32, -3601507547086848}
{33, 12204738776298672}
{34, -879057483840576}
{35, -16621955079987600}
{36, -12368089397873664}
{37, 22191429912035222}
{38, 2281187045301120}
{39, 10387633884218136}
{40, 25624436023296000}
{41, -20622803144546358}
{42, -28501155630130176}
{43, -193605854685795844}
{44, 190795710169903104}
{45, 132884590000096350}
{46, 21267485991459072}
{47, 146960504315611632}
{48, -500312550559186944}
{49, 31399191215416857}
{50, 2449855094580000}
{51, -393268341833177688}
{52, 162389053977393152}
{53, 2038267110310687206}
{54, -160299956142455040}
{55, -2049937456311048600}
{56, -909460364560957440}
{57, 1020546054391588560}
{58, 1224873140103074880}
{59, -5975882742742352820}
{60, 5616229383230054400}
{61, 6190617154478149262}
{62, -547355858777404416}
{63, -4716328880610265464}
{64, -7106190945422409728}
{65, -1744732121842464300}
{66, -3514964767574017536}
{67, 16961315295446680052}
{68, -6147932695873468416}
{69, 9514541545429002336}
{70, 4787123063036428800}
{71, -5632758963952293528}
{72, 7270701135002173440}
{73, -43284759511102937494}
{74, -6391131814666143936}
{75, 1096003922937727500}
{76, 15954115264381521920}
{77, 72756210698603447904}
{78, -2991638558654823168}
{79, -51264938664949064560}
{80, 84033706583339827200}
{81, -135945187666282668519}
{82, 5939367305629351104}
{83, 48911854702961049156}
{84, -199330748886990422016}
{85, 66054302274026781900}
{86, 55758486149509203072}
{87, 547977621053613124440}
{88, -112161106041516195840}
{89, -504303489899844009030}
{90, -38270761920027748800}
{91, 61923888203802085552}
{92, 148740070916266647552}
{93, -244873327320541300608}
{94, -42324625242896150016}
{95, -171413384680587753000}
{96, 464032638396857843712}
{97, 808275058155029184482}
{98, -9042967070040054816}
{99, -581651146457782106004}
{100, 17133742119249280000}
{101, -1002018079349702950698}
{102, 113261282447955174144}
{103, -589747054476306481144}
{104, -95461978085988433920}
{105, 2141639180325922334400}
{106, -587020927769477915328}
{107, 1122100836768400472892}
{108, -1121102271047854448640}
{109, 1723939397379244815230}
{110, 590381987417581996800}
{111, -2859232595586266143368}
{112, -2982517365658781483008}
{113, 495809929052605094706}
{114, -293917263664777505280}
{115, -1598085420023840986800}
{116, 8566490547849771694080}
{117, -495051903074940904602}
{118, 1721054229909797612160}
{119, -2344393834554683597616}
{120, -3301554834985549824000}
{121, 1572562265413454238133}
{122, -1782897740489706987456}
{123, 2657124448355930950152}
{124, -3828085241653882617856}
{125, -10503296569680678562500}
{126, 1358302717615756453632}
{127, 1636093498211141405312}
{128, 9599491747669931458560}
{129, 24944952741136679724336}
{130, 502482851090629718400}
{131, -13864963308265839166668}
{132, -24582882481130995531776}
{133, 6083789675624743925920}
{134, -4884858805088643854976}
{135, 12045289360698133326000}
{136, 3614121776762790543360}
{137, -40078919621811128507478}
{138, -2740187965083552672768}
{139, 44758479808291059117020}
{140, 33480074897751663820800}
{141, -18934979218040665113408}
{142, 1622234581618260536064}
{143, 7636893329246471107272}
{144, 23843801490048924254208}
{145, -92039647157339021959500}
{146, 12466010739197645998272}
{147, -4045597392959169523308}
{148, -44698155660260640434176}
{149, 49328908894524903236550}
{150, -315649129806065520000}
{151, 57041480281980994831352}
{152, -9378781170569212723200}
{153, 18742308711845300536266}
{154, -20953788681197792996352}
{155, 41129516569475243390400}
{156, -20922855270663243276288}
{157, 63562335234693291666542}
{158, 14764302335505330593280}
{159, -262618487560870182369864}
{160, -77940044751129123225600}
{161, 56719115588460354869952}
{162, 39152214047889408533472}
{163, 86848360806012005785556}
{164, 41538615076170430654464}
{165, 264122141620940745818400}
{166, -14086614154452782156928}
{167, -189411168573448801125048}
{168, 117178511211492000399360}
{169, -240564656083862470141977}
{170, -19023639054919713187200}
{171, -48636992026621236801420}
{172, 389962461354967475351552}
{173, -418507989542345072272194}
{174, -157817554863440579838720}
{175, 6533617294506019655000}
{176, -367825206634275969957888}
{177, 769956636105895706740080}
{178, 145239405091155074600640}
{179, 476751571771182829691940}
{180, -267657204254914068940800}
{181, -28862734509184028216218}
{182, -17834079802695000638976}
{183, -797623876651582663513128}
{184, -87438291205845170257920}
{185, 480243625154858637540900}
{186, 70523518268315894575104}
{187, -289127284406180610698376}
{188, -296009023476539474067456}
{189, -427510414015101199016640}
{190, 49367054788009272864000}
{191, 886377892508974169952192}
{192, 915590066172004958994432}
{193, 86350861419370594951106}
{194, -232783216748648405130816}
{195, 224798265506670470269200}
{196, -63244502139622356704256}
{197, -699007897302572286502218}
{198, 167515530179841246529152}
{199, -1245423293022700543384600}
{200, -10072236241652428800000}
{201, -2185363707926532044619888}
{202, 288581206852714449801024}
{203, 3266663546533287329740080}
{204, 792124240267121164591104}
{205, -446297051710970506160100}
{206, 169847151689176266569472}
{207, -453442232509405299067752}
{208, -313061479638033334534144}
{209, 750296115731706736587120}
{210, -616792083933865632307200}
{211, 3508414568865110558396612}
{212, -4105493919724668655822848}
{213, 725747195951469307321632}
{214, -323165040989299336192896}
{215, -4189814620962573570211800}
{216, 659050827685843953254400}
{217, -1459765401255434448525056}
{218, -496494546445222506786240}
{219, 5576981554448546878476936}
{220, 4129000424001364578508800}
{221, -246080512774435659999588}
{222, 823458987528844649289984}
{223, -4723499876938725919843744}
{224, 2766241623769470084317184}
{225, -52233148941864357358125}
{226, -142793259567150267275328}
{227, -5443168797133335298442988}
{228, -2055592027123972810260480}
{229, 6906769890393014065423190}
{230, 460248600966866204198400}
{231, -9374201211250862641742976}
{232, -5035894433294177938636800}
{233, 4536502138132360491188106}
{234, 142574948085582980525376}
{235, 3180364925868935547530400}
{236, 12036670827493588988866560}
{237, 6605179757346697274168640}
{238, 675185424351748876113408}
{239, -2734929976785810304038480}
{240, -10827238891023836695756800}
{241, -8089068534967740784314958}
{242, -452897932439074820582304}
{243, 11693519816356853649788796}
{244, -12469190597487124068714496}
{245, 679508327133275431494150}
{246, -765251841126508113643776}
{247, 638588133496746014141560}
{248, 2250376983543069419765760}
{249, -6301999007348313417455664}
{250, 3024949412068035426000000}
{251, 6639265576003324440330252}
{252, 9499667361956241579712512}
{253, 6995003835235217250000672}
{254, -471194927484808724729856}
{255, -8510700522194706687123600}
{256, 12138108930245557145829376}
{257, 1572784572582880285431042}
{258, -7184146389447363760608768}
{259, -17044767034651558167775376}
{260, 3514253397672066332774400}
{261, -26115414459997468741608330}
{262, 3993109432780561680000384}
{263, -34007704831734243878665944}
{264, 14451285546813112736808960}
{265, 44110036620878066290685700}
{266, -1752131426579926250664960}
{267, 64976478852655501499461320}
{268, -34163616958611066534178816}
{269, -35797484585908924151848290}
{270, -3469043335881062397888000}
{271, 24610355301559536092347472}
{272, 11852282277308752359063552}
{273, -7978521451730675910861888}
{274, 11542728851081605010153664}
{275, 805772049843581745142500}
{276, -19164265697135459937189888}
{277, -61167930197964617291422138}
{278, -12890442184787825025701760}
{279, 11670127004235608242023456}
{280, -19681586276445451911168000}
{281, 17371006954434479553698682}
{282, 5453274014795711552661504}
{283, 75723743460270764544477356}
{284, 11345548167264421242445824}
{285, 22085586135785648447532000}
{286, -2199425278822983678894336}
{287, 15839938056881818353381264}
{288, -22114780255806168219254784}
{289, -59775502828227138849107213}
{290, 26507418381313638324336000}
{291, -104141391592926580245398808}
{292, 87184508885339625523914752}
{293, 48868444165733855376762006}
{294, 1165132049172240822712704}
{295, -129323779641550120259979000}
{296, 26276243697545797532712960}
{297, -52723618036227636473867040}
{298, -14206725761623172132126400}
{299, 5953551336980045076869136}
{300, -2207579869612554232320000}
{301, 148704554088887286390873952}
{302, -16427946321210526511429376}
{303, 129104017415733126979733112}
{304, -30757115757804304193290240}
{305, 133970836309203904271478900}
{306, -5397784909011446554444608}
{307, -217987303913841181562767708}
{308, -146546141638812653595820032}
{309, 75985369486945232256517536}
{310, -11845300772008870096435200}
{311, -40464448729200819848147688}
{312, 12299703104511093779988480}
{313, -8741736495920098775109094}
{314, -18305952547591667999964096}
{315, -102065837488842724393150800}
{316, 103258249578449725429268480}
{317, -31975828554853721823734898}
{318, 75634124417530612522520832}
{319, 402868130071343649406463880}
{320, -153784722940339097803161600}
{321, -144575960212587790529296848}
{322, -16335105289476582202546176}
{323, -24176487078174679374903480}
{324, 273821884558927881192317952}
{325, 685804522433988710821250}
{326, -25012327912131457666240128}
{327, -222119247715931418973494120}
{328, -24418877165672288954941440}
{329, -112877248977813838097494656}
{330, -76067176786830934795699200}
{331, -252214821588073220443373668}
{332, -98518649037541768898408448}
{333, 136264769586209232279590526}
{334, 54550416549153254724013824}
{335, 367058976242996830671329400}
{336, 384279467460940041396682752}
{337, -153126867676011786188538478}
{338, 69282620952152391400889376}
{339, -63882134498853850822299864}
{340, -133047104074762936317235200}
{341, -180028628344883894305689216}
{342, 14007453703666916198808960}
{343, 404890188137517342074357200}
{344, -229243209615646157142097920}
{345, 205903717857551768103259200}
{346, 120530300988195380814391872}
{347, 323436088129753442457201132}
{348, -1103740908147155984152043520}
{349, -677854422495976101280925650}
{350, -1881681780817733660640000}
{351, -44873851972584824145749520}
{352, 341152547367849252486119424}
{353, 684291443640449529403335906}
{354, -221747511198497963541143040}
{355, -121898255100943386624771600}
{356, 1015772123784185001740298240}
{357, 302061079219363653451235904}
{358, -137304452670100654951278720}
{359, -68550020504461629496003320}
{360, 157344879727525285306368000}
{361, -651470607580313139712728819}
{362, 8312467538645000126270784}
{363, -202615212524931097858008252}
{364, -124727591011203791135522816}
{365, -936723316341803115160779300}
{366, 229715676475655807091780864}
{367, 1135754326884411482171208752}
{368, -286748309334907023412690944}
{369, -126632737496077599454099614}
{370, -138310164044599287611779200}
{371, -1565549772473037138845330448}
{372, 493225814875652852015038464}
{373, 382975272769427563667540006}
{374, 83268657908980015881132288}
{375, 1353286743223937348706750000}
{376, 174011771238633515329781760}
{377, 342887030644815328015283940}
{378, 123122999236349145316792320}
{379, 71476681765193129726476940}
{380, 345262210730717296794624000}
{381, -210800830683516303226019328}
{382, -255276833042584560946231296}
{383, -1384251778002467070147567744}
{384, -1236836914736784648846704640}
{385, 1574513517917942285918068800}
{386, -24869048088778731345918528}
{387, -1188821868796897247012859252}
{388, -1628034088336325023617120256}
{389, 1632131566081847956928241270}
{390, -64741900465921095437529600}
{391, -225397168249261063302860688}
{392, 37178893093079879768309760}
{393, 1786417332490203781590171792}
{394, 201314274423140818512638784}
{395, -1109421974401229458689732000}
{396, 1171566392404436380170104832}
{397, 1210289951770833802578359582}
{398, 358681908390537756494764800}
{399, -783859796966194506391236480}
{400, -33031257515271966556160000}
{401, -651358092672234306844957998}
{402, 629384747882841228850527744}
{403, -153225031211341141193331008}
{404, 2018272831570806480919517184}
{405, -2941983009026639915286253050}
{406, -940799101401586750965143040}
{407, -2102081626998001472911859736}
{408, -465657906205224984768675840}
{409, -4452509308640009615484926470}
{410, 128533550892759505774108800}
{411, 5163928319752633041417495432}
{412, 1187873235102612324772093952}
{413, 4589948893793317005101038560}
{414, 130591362962708726131512576}
{415, 1058499002034044916732538200}
{416, 290359984402740416518029312}
{417, -5766861572419453220873324880}
{418, -216085281330731540137090560}
{419, 4929117920066309934786331860}
{420, -4313706770125915373327155200}
{421, 1501451475964271757135865622}
{422, -1010423395833151840818224256}
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{425, -25964065576961698713851250}
{426, -209015192434023160508630016}
{427, -4754881844795928747203039696}
{428, -2260144482225606379702849536}
{429, -983967884113432323345353568}
{430, 1206666610837221188220998400}
{431, -7192208408787252836263540368}
{432, 2161315231559026994137006080}
{433, 4231039979486647937142977906}
{434, 420412435561565121175216128}
{435, 11858756298340188945349818000}
{436, -3472372525716453940794787840}
{437, 584914080944245286890798560}
{438, -1606170687681181501001357568}
{439, 4532345507950689721889204120}
{440, -2427272887789149918363648000}
{441, 192804320096636054960952981}
{442, 70871187679037470079881344}
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{444, 5759089167890621956100972544}
{445, -10913606609748029207217778500}
{446, 1360367964558353064914998272}
{447, -6355733937606166632610048200}
{448, 5458114670780437520369844224}
{449, -125691710634107392937298750}
{450, 15043146895256934919140000}
{451, 1953493567525217489933297304}
{452, -998664325577189602597582848}
{453, -7349452485451559298050717088}
{454, 1567632613574400565951580544}
{455, 1340091768424070743326554400}
{456, 1208399681140819644107980800}
{457, 11592375120690064099596363242}
{458, -1989149728433188050841878720}
{459, 1698891735464183218044278160}
{460, 3218876437695380706340454400}
{461, 10251364377141043522143968862}
{462, 2699769948840248440821977088}
{463, -5728005750190077010592015344}
{464, -16514895188615521161455861760}
{465, -5299291432877468259392697600}
{466, -1306512615782119821462174528}
{467, 11265794999774759881781786052}
{468, 997137503588770569576585216}
{469, -13027626834238853841897538016}
{470, -915945098650253437688755200}
{471, -8189625520978822471483937448}
{472, -7075873518681945510730137600}
{473, 18339300875494229312324694672}
{474, -1902291770115848814960568320}
{475, 67377721168750555581837500}
{476, 4722096816710720139786928128}
{477, 12515822515384806536849536398}
{478, 787659833314313367563082240}
{479, -11737295436000615389604761760}
{480, 10042107125914480752879206400}
{481, -1789112797596387578808124268}
{482, 2329651738070709345882707904}
{483, -7307917728879585962864095488}
{484, -3167467495493902834081393664}
{485, 17491840119780078829915737900}
{486, -3367733707110773851139173248}
{487, 4752717872642987025249185672}
{488, 7330134454339761719947100160}
{489, -11189890199689810873434177264}
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