# Stored data for newspace 154.8.a, downloaded from the LMFDB on 28 April 2024. {"label": "154.8.a", "level": 154, "weight": 8, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 192, "dim": 34, "eis_dim": 8, "eis_new_dim": 0, "cusp_dim": 164, "mf_dim": 172, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 3, "num_forms": 8, "Nk2": 9856, "plus_dim": 19, "AL_dims": [[[[2, 1], [7, -1], [11, 1]], 5, 1], [[[2, -1], [7, -1], [11, -1]], 2, 1], [[[2, 1], [7, 1], [11, 1]], 4, 1], [[[2, 1], [7, -1], [11, -1]], 5, 1], [[[2, -1], [7, -1], [11, 1]], 5, 1], [[[2, -1], [7, 1], [11, 1]], 4, 1], [[[2, 1], [7, 1], [11, -1]], 4, 1], [[[2, -1], [7, 1], [11, -1]], 5, 1]], "analytic_conductor": 48.10729392455475, "level_radical": 154, "mf_new_dim": 34, "char_values": [154, 1, [45, 57], [1, 1]], "hecke_orbit_dims": [2, 4, 4, 4, 5, 5, 5, 5], "trace_display": [-16, 52, -64, 0], "traces": [34, -16, 52, 2176, -64, 0, 0, -1024, 17554, 11552, -2662, 3328, 8276, -10976, 20992, 139264, 15444, -7696, 45352, -4096, 0, -21296, 94736, 0, 147846, 214912, -8528, 0, 446692, -269248, 491552, -65536, 441892, -89760, 117992, 1123456, -83308, -251424, -2386136, 739328, -158652, -296352, -759368, -170368, 1083824, 1274496, -1539392, 212992, 4000066, -1210928, 8233888, 529664, 68580, -2201664, -2699268, -702464, 10864216, 1226144, 272372, 1343488, -3855420, 5872960, 3218712, 8912896, 11462480, 0, -8878224, 988416, -3753160, -1372000, 3894464, -492544, -6269612, -2345312, 7329908, 2902528, -1826132, -1696832, 14769920, -262144, -20572462, -6603936, -16704880, 0, 8502504, -13613184, -17013392, -1362944, 12658188, 31861984, -10733156, 6063104, 58199152, 4726080, -16029448, 0, 10409332, -1882384, 7568066, 9462144, -28503684, 32262912, 59050096, 13754368, -6648712, 17871136, 1566504, -545792, 61702260, 0, 918888, 0, -3192308, -26736704, -3214080, 28588288, -151686260, 19278656, 6459376, -17231872, 60233074, 81042496, 5318032, 31459328, 26302800, -24026464, 21838088, -4194304, -138996416, 107460736, -96452768, 28281088, -2300844, -136855360, 623376, -5744640, -14086660, 62988160, -69049024, 7551488, -91818264, -59156672, 9386212, 71901184, -119376152, 74871072, 6117748, -5331712, 85680644, 82285120, -55845112, -16091136, 35679764, -14609056, -110366520, -152712704, -86683056, -64514048, 30589576, 47316992, -75920992, 141634608, -78146400, -10153728, -37321240, 194123552, -79618288, -18966528, 293517422, -204639552, -199041968, -48599552, 1266124, -269103040, 109707864, -10903552, -417450200, 94303200, -239021464, 69364736, 251807432, 43969856, -248980456, 81567744, 311397560, -12444288, 110888272, -98521088, 38385816, 393622208, -190983872, 13631488, -325960740, 473968608, -296257000, 256004224, -423905292, -177204016, -528066992, -77499392, -292540040, -636393728, 25036256, 526968832, 44387864, 528860736, 251829504, 33898496, 90087404, 203407232, -135754616, 4389120, -432041472, -535703040, -428703824, -140906496, 46656232, 140193248, 516933648, -172753152, -583668296, -1038026624, -191896104, -44957696, -522940610, -43314656, -199156488, 695309824, -557288448, -925710720, 0, 78473216, 1281783156, 1013483712, 159441784, 17431808, -706460176, 27374144, -468717032, 85983232, 497311636, -28344976, 1707828476, -246746880, -7529536, 106611840, 285342544, 375869440, -67501032, 190674432, 422372908, 205997568, 422193200, 52814784, -800677744, 570425344, 1103662900, -1706472832, 213274656, 733598720, 832431716, -206186336, -383758528, 0, 2326592640, -172696384, 1333210120, -568206336, 2254312440, 1844023936, -93209312, 63258624, -249684792, 352114016, 249453358, -240202240, 189824100, 898658400, 2283786176, -87808000, -1976971900, -641468288, -2764575448, 249245696, 1165013720, -119427968, -266672896, -31522816, 781986774, 836461440, 1976678744, -401255168, -1405539220, 0, 280363312, -150099968, 948300232, 565302560, -105326672, 469114112, -195743240, -931107392, 3064202024, 185761792, -1474041424, -2008458784, -830627472, -116872448, 231860952, -2457096704, -2644180872, -108597248, -1102265980, 974944480, 108212384, 945274880, 1445831668, 611747328, 373249668, -16777216, 1627989344, -1000177024, 1293107712, -1316637568, 3427727940, -1186899904, -1907011216, -422651904, 880387704, -287496000, 440071256, -1069112320, -391928564, -1506337856, 6176867376, 0, -1095484580, 1235944528, -1880074736, 544160256, 137247396, -441270624, 0, -871243776, 4419943336, 942868416, -363650856, -1088857088, -5478427428, -676856992, -5019799872, -87228416, -2105766692, -864841280, 1586299096, 810124032, 16485952, 742330944, 1352055160, 2039166976, -2199936630, -2583182560, 92121172, -686921984, 290086360, -1713267008, 1539428360, 388038656, -3243119260, -982372672, 1734537280, 3724745728, 4196075876, 233659712, -580018672, 302469120, -4497255552, -864162432, -3264667488, -1025884672, 339936408, -1052094400, 418235952, 0, -228266500, -57850336, -5223347672, 666197248, -1067128964, -7852687424, -2853160736, -120472576, 1060866920, -2915328160, -7503799360, 484356224, 5736119448, 1956144192, 2127760712, 605577216, -2386294716, -5213360640, -7243747568, -1824235776, -5040104984, -14839552, -30692860, 2064826368, 4204306212, -4549051584, -6224394776, 3779206144, 3490886616, 4537036160, 3084865992, 880279552, -1326747720, 0, 1537500260, -425517568, 2201915876, 1263934464, -3686336784, 1143752704, 17203084956, -10571008704, 738743796, 100256256, -2792235688, 1869150720, 6476876456, -34930688, -5302159180, -1450500352, -6537359296, 3948944640, 5494456704, 587555840, 1055082304, 0, 2065210546, 6164689216, -5418338104, 58808832, 4315709112, -5340130752, 2314417408, 0, -8311530964, 3517141712, -982725216, -204307712, -1520668632, -6307236384, 7267195880, -1711149056, 2393884172, -1231586976, 10843969824, -205701120, 927381068, -394444512, -2034386768, 1829650432, 9496070440, 7757472608, -11004263076, -9707920640, -822360336, 10304418048, -4760152528, 1233833984, -476902624, -1453801728, 13350837360, 413400064, -15219501548, 2032455232, -1689188272, -1102839808, 1036823560, 2979968608, 1904308560, 3854916736, 4292634840, 3638570752, 5896594576, 5186719744, 5186787664, 1359081248, 9809274952, 340354048, 13189681432, 453823552, -1756350332, 2013396992, -3077722536, 9165814080, -12073925344, 1683379200, 4980311936, -3078071872, -14055136048, -1537693696, -284536944, -77261888, 2973320404, 1397637632, 1943703992, 4424607104, -8391215112, -268435456, 12108522192, -15764512544, 3446462408, -8895770624, 2383379108, -968192960, -48276653704, 6877487104, 5668739396, 15757410976, 6389328376, -6172977152, 85818600, 1738068608, -10007750320, 1809989632, 11748770810, 11521012288, 3739394588, -147254016, -19781107864, 2440270336, -7287003344, -8758743040, -16026183912, 3844857056, -313181638, 39896064, -23984631996, -4424611840, -1109653984, -367656960, -6293744120, 1737830080, 14700015720, -901546240, 3840842332, 3471098928, 4238579928, 4031242240, 4688804512, 6026774688, -37974575616, -4419137536, 16596164916, -2227109312, 10672952656, 483295232, -2823743120, 2971742048, -6268831456, -5876368896, -524335296, 32852977248, 2529262792, -3786027008, 23283441948, 5906347328, -14557678280, 600717568, -10048970320, 1366182720, -7551184768, 4601675776, 15864719836, -11476347952, -12840687392, -7640073728, -8162065044, -541571072, 437563588, 4791748608, 34881389664, -9962077440, 36371548508, 391535872, 19372888864, 15119254464, 11994829232, -341229568, -490138668, 5584577856, 170391424, 5483561216, 44899942824, 9885440000, 4955838448, 5266247680, 8529990820, 1598676352, 23252392576, -3574087168, -113379904, 17187259328, -39244608096, -1029832704, -13850534824, -2599646848, 2085872912, 2283504896, -25335472044, 2505954208, -22340872560, -934979584, 25779595908, 15596849152, -776430220, -7063457280, -37555620280, -867585728, 26926581136, -9773613056, -7500612390, -11886731296, 13255024376, -5547715584, 70671513080, 8589082208, -17694452096, -4128899072, -35493584112, -271912416, 20675492184, 1957732864, 973663124, -7046548256, 28285174992, 3028287488, -16106689844, -23728771840, 41184302788, -4858943488, 39775127760, 738910336, 24153237152, 9064614912, -6638745828, 10590044608, -13273084720, -5001369600, -1433386884, 5141490496, -94771147704, -649838592, -101931562140, 2785752704, -27281032232, -2388559360, -9696663712, 15940537920, -2957080128, 12423907328, -18601556792, -26471697248, 7835174432, -5095570432, -1988988208, -7271006208, 8777439220, -1213857792, 11616265540, -2851413984, -4124989632, 18785115008, 15332349796, -22339594432, 11607509648, -13096931328, 16095972616, 2357765344, -5123585544, -12738685952, -67606795352, -1291315424, -64204729920, -3110371328, 48206127064, 3689869312, 146411716, 81031936, -3993750684, -21091753984, 22090276920, -17222594560, -29016997096, 21354141120, -95366765448, 7021303296, 18327826708, 19819715328, -28221548752, -697827328, 9470625600, 21452782048, 8758580460, -26716812800, -70022113172, -6525212096, 2469579040, 6035404800, -16016047000, 5968046336, -5374886792, -15297373696, 9881065368, 9429028544, -20301140496, 4439343104, 1266792296, 19331783920, 80627064400, 16115675648, 64919489452, 0, -25018940176, 2814070784, 97451727130, -63357821248, 44631899952, -15934749184, -29192497220, -18373082304, 2469687808, 5220335616, -5553049128, 2947387360, 11479185080, 19929443840, 24301297880, -10960677504, 33820131432, -796434432, -102784664024, -13147566240, -17291917864, 7096849408, 5363556856, -86253425536, 58953773792, -6305349632, 61874420616, 18668102976, -57666795256, 2456692224, -26992926412, -25495754944, 19797975472, 25191821312, -7127398796, 25029352256, -7108921960, -12222967808, -23445158408, 12145073600, -63689614648, 872415232, 48464823924, -7304528000, -15122162088, -20861487360, 16026055304, 21433123584, -21530093856, 30333990912, 3983311136, -5949797600, 46575230832, -18960448000, 27448488936, 21549155072, 67840063536, 16384270336, 42653006416, -95630603584, -91522144112, -27129938688, 29809715536, -50652904960, -24895453128, -11341057024, 52629998984, -35014119200, -48773374800, -33796287488, 55161997472, 19561800384, -43788848528, -4959961088, 30310875572, -6576405216, 8355655968, -18722562560, -30950058944, 34823200064, -30331567664, -40729198592, 12222570140, 75869953248, -84612150896, 1602320384, 55404824704, -6854628704, 99041478016, 33726005248, 18626446624, 83921630944, -45565855580, 2840823296, 92512433332, -12803745152, -8298178816, 33847087104, 27194848252, 31158635872, -69253180296, 16117088256, 103005881736, -96473507264, -19388970688, 2169503744, 1816971156, -21186646080, -125805644048, 5765593856, 238714431400, -48189663616, -8280409184, 13018062848, -12062538018, -12942007520, 46320242232, -8688295424, -143144922280, -69227560384, 0, 280903680, -113229451672, 28702877088, 69580224640, -27650654208, -99703135268, 26224056768, -87614832504, -34284994560, 90157044532, 14478468928, -3521142348, -27437044736, 12497290064, -55978921664, 497299264, -9018015744, -46054071616, 131549199840, 156757998620, 2985998848, -23742633552, 61032815488, 32301052976, 8972367872, -37338186660, 24730693120, 46848270840, 33083753472, -23982356572, -20509551360, -96978719608, -11056201728, 3190076956, -905426704, 53396986264, -37354770944, 5492737488, 29404084544, 5068304960, -66433703936, -24861603144, 14358692160, 40387414122, -12281350656, 149709424464, 34772655168, 78593547744, -2877292544, 155096252640, 130850236896, 32843745024, -33468199040, -82654371160, 27428822080, -3928743952, -2772137984, 8416247728, 5471134656, -4647864768, -12746015232, 6991545764, 24672094272, -11223837408, 44499828736, 2184751316, 671130400, 42989234568, -35666460672, 23253173244, -139127614720, 72743358912, -59245486080, 27977191896, 61215962048, 47859355928, 0, 182962406964, -106803286208, 77346307808, 5022285824, -28113711460, -18870096000, 5335617448, 82034121984, -156506998184, -46546384768, 10984689760, 64862957568, 182121274164, 6150357696, 41495031832, 10204274176, -20879480444, 3269312192, 164100045920, 1115635712, -20115149936, -20932860608, 78986927000, -45213451264, -186701723416, -42032018336, 248579826088, 1751945216, 129155970996, 134618358432, 136584150536, -29997890048, 8707252928, 53543645376, -29111535040, 5502926848, 58824375290, -57768241664, -178243761320, 31827944704, -341990592552, 11123078400, -44614152632, -1814078464, -154693451824, 56674972224, 6604645700, 109301022464, -23232044444, 41918941440, 14619589640, -15791800320, -138871940788, -4810700160, -17572186764, -481890304, 111176356788, 81204828224, -44724887472, 6823157760, 21686001448, 4907471680, -47301681168, 18261922816, -18127231520, 3698092992, -132418596432, 24055644160, -167595220328, -30570047872, -135632084840, -4320066048, 64455721476, -2878075328, 186384340816, 12203163648, -20060060020, 100698943104, -231718584896, 27031866112, -66818884328, -93562506752, -323506872224, 13183844352, -119131388532, -17820870272, -347128967712, 27020364800, 153645006240, -66093049152, 60886915096, 3380146176, -34225431452, 3043087136, -170712829128, -51243375616, -45167313952, 4047487808, -19681454408, 36507222016, -45658747380, -103951567872, -89968388768, 70634425600, 0, 106063351936, 253751083344, -109214261248, 269126213380, -22610942816, -141057279392, 13649577984, 170373863928, -92766266560, 142424896496, 46950318080, 96655452608, -18661543456, 9163406896, 53275629824, -23007144248, -157471058336, 133810292888, -13195925504, -112720757732, -45379470752, -63610650856, -24560545792, -195766463444, -111297642240, -201741953856, 0, -19773354552, 159917765232, -100715662744, 148901928960, -30421047772, -229425062272, 93522004800, -11052568576, -408285543816, 55583555008, 93875839948, 85325447680, -2577270108, -39476671488, 119994587664, -36365205504, 120670045576, -15823888512, -62687104968, 144275996160, -50025255160, -2505453104, 68231769456, 118017531904, -110580282400, 19318592224, 93785401388, -5965395968, 859135424, -179657581120, 269359589344, 4048551936, 31097981794, 10211298560, 96001834072, -15979826688, 20871121724, 92477057984, -73057299200, 22535297024, -128021847292, 26098793472, 35173980464, 15965014912, 130977066560, -96915262080, 62862694544, -15372943360, -249641708480, -39892667136, 88241639360, 12148742400, 101484303584, 97334420096, 49951679316, 57514137600, -82286600032, 75476202976, 9237643432, 146162315264, -21050399548, -169676182912, -178700548640, -5619712000, -10827001896, -3289124608, -211230961524, -126526201600, 200851623848, 349716499936, 11145595664, -41053970432, -87204488588, 9534738176, -292053750400, -176932828672, -28473673052, -89034513120, -125284143496, 15951724544, 124473033192, 107554706592, -88138207840, 74560878080, -45498576816, 180120931264, -329942206216, -7643389952, 376653020240, 39916849728, 175349402448, -17067065344, -304161118176, -209719455616, 57016326976, -2017460224, -242757614116, -65861166112, -12326391000, 50047153536, -276669510648, -71290555200, -418090818912, 53533532160, -7195294912, 2551041920, -113215331928, 126507439616, -78610715760, 26304521056, 459911846488, -25680330752, -94422173272, 38553323008, -105032744416, -89954510080, -212654898448, -43839594304, 90931273968, 0, 2099444864, -380197114176, -222913204280, 17943251968, 201115589040, 82463501504, 101724890232, -9606397952, 85800729360, 96099395744, -135749430184, 60691214848, -3444908168, 75373772544, -28201082976, 36179363840, -116071655908, 116268848000, 601399414408, -6740907008, -112947110724, 123709608384, 59577162524, 30023303168, 126142083212, -10247708768, 337933881872, -12527567360, 47066587688, -69185160640, 506195091984, -59590873088, 25371680256, 20465072672, 21750188404, 196108929536, -130630433756, -17109823232, -283923622928, 11888754688, 199385635188, -169032463488, -235552524288, -94338651136, -31798271472, 384299704256, -491513494864, -128541362176, 17393934054, 198683260320, -412228972496, -53160158208, 382216785412, -163585256064, 1644271888, -7479836672, 190641377844, 317276891424, 494754239640, 14839100928, 49707307840, 442341955264, 77542012744, -157254189056, 192795412760, -267811324928, -59550595764, -169227575808, 15432434824, 43414404544, 290489058560, -6950223872, -40831659548, -205368362896, 583910081528, -70545022720, 58581271840, -766059712, -234117632848, 62396446720, -97169546720, -70753436736, -86062653148, 6925592576, -278346491256, -109952281920, 845750761832, 60497592320, 139935196104, 208039824256, 10177268248, 92533226752, 53362817856, 193193677504, 57195247312, 39151828992, 53861895392, 25284181888, 284034038432, 23887978752, -136319091240, 103941154880, -204293054992, -1073741824, 43862255528, 32520017440, -164266050984, 104191318016, -298343796080, -52513374464, -113779326452, -64011329536, -301830700052, -181144332416, -118346954284, 82758893568, 433349350536, -335396634176, 10379317200, -84264804352, -209663817060, 38731972224, -111370954184, 219374588160, 449293552160, -28840559552, 74336523584, -75961593856, 432094948328, 121298203936, 358272436500, -122048717824, -26915359548, 11284156352, 238195023104, -27049721856, -269707609448, 106290605088, 486560837312, 56344813056, -534055729312, 168297675008, -109715034864, -18399744000, 75034046020, -398322266848, -1003310672, 28164560384, -123127820388, -261904159232, 257526678944, -68423188480, -289746045048, 182438396224, -4715895382, -25083428096, -302755040736, -418841146112, -242770266544, -96405622784, -88359360152, 215066595328, 504812609088, 395319512064, 758500869316, 19402785600, 101416934880, 0, -492141763096, -354294825248, -43518616216, -70111013120, -189954268424, -419462263360, -41521612552, 79100449792, 20054059872, -92879598336, 179923730208, -120324783104, -453354407256, 31436229888, 378140350552, 34826256384, 40241574388, -237348633280, -289381788960, 8783833344, -34787721304, 597280894656, 168603747904, -28241319936, -188779507434, -176456546624, 887583120736, 0, -542507048420, -48233086784, 25431576720, -55759601664, 449270790772, 22141545216, 180070530024, 282876373504, -724917804, -59900082496, 353894223064, 60343578624, 176081677080, -53250009120, 3385581744, -23273654784, 208505786768, 262948303296, 18637622368, -69686853632, -104444764984, -107117928768, -225531095144, -350619355392, -185811827256, 80745609728, -36038092512, -43318847488, 143111832408, 49114622304, -726552425712, -321267191808, 110720387616, -499032531520, 263224620960, -5582618624, -56974475140, -428196674432, -179682974816, -134769068288, -952512701776, -135723157248, 184865968344, -55349841920, 945525920848, -133874704224, -26519525472, 101523142144, 52552867108, 355874170368, 183121376272, 51847938048, 254972800360, 188081460224, 66274090072, 1055100928, 353443279268, -17534530112, -1067914719360, 47509180416, 155500469444, 70152500672, -34032366704, 86531530240, 40979005008, 72639849536, -530482522800, 130506686464, -316799886964, 38204865664, 428139336336, -140795944320, -346632198784, -251607157888, -812355197888, -165323683840, -566538225792, -59359973920, 346750162248, 5895755008, 286704708148, 164266402240, 1259396068032, -43963006976, -152412322640, -565813755472, -130311557600, 18565527040, 575318032424, -35465038976, 0, -109649088512, 534887679008, 352213955840, -1441599809104, 98523415040, 309316101568, -31676757952, -751121947184, 24834473984, -1013723485136, -32296065472, 453127331204, -207559632640, -178718017912, -466209991232, 1235366843872, -62871851008, 487431284900, 96314139584, 447449730580, 111010385920, -110591075672, -200072853056, -946533910448, 238383726592, 373535337316, -313854371584, 269121896792, 268548856064, -45753885852, 806480262880, 1100028820384, 14954221568, -2469158144, 187423761280, -411013032304, -37121195008, 622211545888, 436469451392, -1617004740928, 19358023680, -457660789488, 655423490112, 470260854140, -287824355328, 480743145104, 72967274048, -829336761976, -55306395648, 131014063096, -52167883104, 1293216761256, -208938719232, -223177019144, -74966179200, 57830601248, -65656619008, 75849254910, 46390904160, -838630582480, 21755930112, 335555100884, -108359111168, 183766125952, -67334041600, 159144097596, 670082457280, 186467755064, 26767100928, 173239531360, -297322866624, -100572786520, 0, -555043834664, 47890928992, 1101541542048, -14609056000, -214696925144, -283941941376, 273241171624, -3702421504, 795223327328, 669745844128, -209237436240, -334294251008, 549317167916, -168661581376, 54224950648, 42636623872, -25021361452, -151723640768, 763467244168, -68296253696, -766907296412, 301065576192, -352054250304, -502571995136, 189388500952, -230621795008, -1117797776840, -182602287104, -381623694840, -528944750336, -411924533752, -7710244864, -1062661421560, -77349439872, 868600786804, 67895482880, 14661438836, -225612175072, 567581022624, -186581002240, 532691002624, -268842607872, 385725488936, -480243159040, 400508747072, -31396957760, 546932779568, 30998798336, -1067663089320, -210551176064, -896829147116, 367111644672, -206126981900, -590600076800, -842877235376, 125193228288, -536507705880, 135803507168, -493608611936, 136176685568, 475344413220, -322437125632, 835252825696, 38756941824, 165061367812, 462474153440, -660666365744, -152722861824, -590253711616, 196401934080, 1340151358928, -333655080960, -176969191932, 103562599168, 1400507835528, -463599844352, -858827759212, 160252708032, -744013647904, -116751089664, 51988151908, 178514095648, -331331150920, -322566718976, -17942610740, -3816408544, 1256702250800, -949731328, -2007228470576, 733552856192, -1625648044728, -1964343040, -1434641108040, -265860625920, -46629867648, 132148887552, 1612051061624, 674278427392, -1108142818096, 269075597568, -1221904184888, 175772473856, -89619717220, -291139301376, -1395191352480, 786581557536, -344927519808, -398361265664, 157906882560, -658271157696, -274140343296, 241869193216, 268824126360, 18437310144, 416658699288, 223416743424, -119035972672, -394708563520, 510919048704, 290370314240, -872208371724, 1255679482208, -803981013024, 197431423488, 441043876152, -318727659712, 14921797128, 56337891328, -1103984474688, -10560174240, 118713737784, -84911854080, 2141865171020, -848469930624, 240941888144, 0, 302285227720, -95724621696, -1307583941536, 98400016640, -1263179198192, 101476926400, 768476504384, -27233124352, -361240520314, -149349793264, 262943692528, 140922616064, 875278253944, 1455840531200, 532466268656, 80891805696, -317331157880, 760312374560, -579022126800, -235925554176, 845431534908, -19444653536, 1006276484592, 73200173056, 99604622684, 297431226944, 1874086705884, 1100997437184, 66645388432, -230100819968, 510225534432, -676544557056, -169475207792, -1122400690240, 156191458336, 47279602944, 1137136741740, 164164814400, -170635318144, 6416400384, 600450630624, -281367522080, 13881640808, -178703084032, -71867940040, -1273843705984, -141434805104, 119625646080, -1325988944372, 13871776128, -345689258696, 414520093184, 3242882615200, 739449079616, 80891274772, -2235564032, 424301418968, -969500613120, 707615909880, -339338187520, 249193366324, 530421358720, -1154056180416, -92832022528, 1216207316716, 133119421952, -1241997748080, -418390994944, -726641072624, 560666365696, 213416918680, 252732456960, -526858909968, 1589638825824, -1732795784656, 351645229056, -646801909688, 56748510336, 1695630924112, 37603573760, -1401028328764, -778383024288, 98715044336, 67525267456, -1033832312968, -789742001856, -1218345568680, 0, 1216383975952, 1060349635296, -1815236904624, 132173474944, -113885304872, -107483219520, 2428660628560, 394540109824, 1511132169936, 760542557120, 6175978424, -346773638656, -730442293820, 581000524736, 1151836289168, 3763765248, -207205131148, 208920410944, -841462672528, 276205383168, -3033848597448, -257627018352, -2419469881192, -341768368128, -1176972944, -351390133440, 569288644136, 148122714112, 65382725716, 232667088640, -961697080608, 0, -33217798944, 262652221952, -456284713960, -531937981696, -659964521048, -1490205388544, 167200053216, 225097069568, 823161984220, 1024817329344, 1350872813648, -62894413824, 496909918040, 231605278464, -131218044208, -13075693568, 2335636455496, 650917680512, 980460713648, -97322792448, -9801102892, 710589524800, 37188608512, -403663128576, 2265034848208, -86941156160, -172940336384, 465100536320, 1388642402112, 836493810816, 1990150354688, -109513539584, -875485979124, -330958495296, 579213283152, 153208587008, -121016977952, -1083328312256, -389690435312, -78821566464, -1312212751968, -353957823744, -2968667085448, 694014068736, 444328890632, -637897503232, -943421365568, -13164871680, 522534014912, -141304791872, -1192970228816, 59352388352, -29403302520, 1214120608448, 500059857120, -25244448768, -725876936582, 496812412640, 1915577487584, -130200753152, 1564313975336, 1544711187776, -425609206624, 117097627648, 3256060865832, -1525760252448, -667528334858, 607748508160, -855721244788, -29579782176, -461098290224, 496478246912, -2779009667160, 27549875712, -168568614032, -704272836864, 1239404925920, -249093349120, 248747403376, -621306920960, 426086373796, -235544335200, -2571115407924, -52631061504, 825800444788, 1601763007360, 3814049776816, 659482755072, 266362802596, 925011388864, 324154652528, -304649761792, -426443784080, 1366390849792, 2688977505856, 78965374976, 850246446292, -330732168704, 2434481870992, -30521767936, -3851918160160, -71999856320, 912651544064, -93043310592, -409911605824, 1000606910144, -1372410628648, 854453591040, -875366993268, 286016611584, -448570888788, 26457604096, 1526895468256, 497871492448, -177020790876, -974048099072, 153147562192, -882506076352, -280726514264, 130077134848, -1631447531892, 551353865920, -472425517992, -108108049408, 1271690336072, -62225731904, 613638384688, -70581747712, -1140338585608, 305365163760, -488679698736, 66356707840, -283494210076, -193387093120, -796079645648, 190717990912, 887694108840, 825824546304, 1459429181680, 121875747840, -1386411446332, 1654311373504, -808568143376, 246714671104, 284913101408, -1193422802560, -466222206688, 274728629760, 1142479180176, -1971224786112, 709089084112, 232868528128, -685158382904, 766247819008, -670686960240, 377382052864, -3145373707540, -761704928320, -941101176184, 331950063616, 776941266584, -1113145304352, -188490509920, 331954410496, 2140690021600, -232064428640, -394193586376, 86981199872, -1622357874872, 369016809056, 1241011971496, 627793596928, -1043292033576, -1467034682304, -1262346017184, 21782659072, 474284834496, -2742085946112, 326469656896, 844139611648, 917224680936, -563976361536, 1806644385568, 29044707328, 5585695212400, -1567096905728, -2139277899360, -112406421248, 643885223828, 2013623410112, 575948036544, 128857407488, -765926338120, -409759289856, -1019772832104, -196974242304, -2479264561032, -1555711654656, 964907592836, 586612101120, -1785306960268, -1354229122112, -617638714280, -772731222016, -1917650781308, -695363243392, -1971764239328, 107736268800, 2356782225776, -64192192064, 3379422099504, 318739963904, -756861043304, -696279890176, -1040654199320, -196996599808, -18665249148, -2340946096256, 914181699040, -899528707072, -714007677416, 371854826176, 678835130768, -98412396544, 433998926780, 2415691290912, 385843426536, -18210364416, 2480005278816, -66935507392, 1323148798496, -4944760832, -4071937185866, -1798396431648, -1810373191528, 190292505856, -278718546968, 802322638208, -3490167694008, 89448808448, 4870921559424, 98001399584, 20491149624, 124397055488, 749166803168, -265149818368, -212262370208, 283174854656, 2153882687248, -1511119029984, -831475985696, -537037767168, 363297330264, 301777438336, -729456918352, -17179869184, -1182621581408, 450070939552, -402685461556, 774945420288, 42184654676, 2985259244288, -4574486973392, -1008928802816, 27359988084, -34865516448, 3115064574720, 220573594112, -1282700819152, 303784442368, -156364425040, -569329319936, -1187038410712, -2135628711968, -2545632973792, 152536262912, 1612932310692, -1667125085312, 1103883751960, -61964349440, -1624367623576, -452149363136, -307318743704, -3089705837056, 1190445693896, 1937119704000, -293280451464, 440159174656, -2364548910604, -1025735973120, 967112163256, 362799321344, 1832283303336, -169886440192, -2022116789328, 1008474302464, -5944641682140, -560814571328, -1631625250992, 408917016064, -115328552864, -6934494272, 2215498203216, -395070537728, 473865019380, -1092226199328, -4033991024748, 5492390400, -701663419072, -3060751937088, -4437855369824, 111236390912, 2079088357888, 1364094530112, -89338885832, -640496020480, 4906820246400, 2255290228608, 3831715814128, 115839336448, -1206666706364, 584497749696, -1399915073592, 751921331840, 1775386222536, -522810274048, -2176190135168, 737344786432, -1042402598776, 830691488288, 215307186556, 239321253632, 337877664480, -1049516271232, -231930563800, -9424257024, 2500634662116, 427485032704, 5114456895216, -1265990903296, -3704017558192, 227895608864, 808935905960, 156177301504, 44627070620, 1574698575424, -2117601951520, -466368214016, 3279841180308, -787624259520, -5898499800128, -560559554560, 1948397308616, 760028898496, -2754075494680, -1025675770368, 478981709276, -1064792276992, -124773536440, 246070851584, -823044646724, 984109575744, 2124249452856, -20043624832, 2962356433184, -180450178752, -121194290656, 2553348096, 1243294382276, -86883479552, -289995447168, -1535016447744, 3764703565144, -3551645810368, -964596681884, -283175157760, 1544469403524, -102151151424, 1091211187648, -71017854976, -4183588212696, -749035313024, -202013543616, -23530045440, 1136871483160, -13633933456, -1352948884064, -402799623680, 1931784379584, 93384930208, -2296278108120, 111221125120, 900984293584, 109139530400, 8236920854912, 940801006080, 592668931140, 2739279664128, 1252617812768, -57698959360, -2548999245728, 3601559592992, 2386778256592, 245813909248, -252672083216, -1037413597920, 6669884049032, 222150331392, -3599878931656, 3852408240000, -1336934531100, 271269115392, 127510809776, 371492953216, 2855309189624, 257999503360, -1510868919342, -2314496949760, -304611510016, 300083488768, 1641342158340, 1092606535168, -347327800336, 385713580032, -317977451248, -1174236497760, -684481179536, -2430372839424, -441275599372, 418986959424, 387524177360, -282824802304, -1340228343380, -113683766336, -2603511019392, 1062154554624, -1035287847944, -2745737403776, 3585077819952, -142534995968, -374090444728, 1025048466784, -3164377001440, 683068969984, 1122161610540, 1393138106688, 970431048704, 30930894848, -3688593166112, 42612855616, -8141639731032, -180719559680, 261534793560, 3849676563712, -214671516640, 190191491072, 1349497030008, -4550109618304, -1340234933752, -401205213184, -3466870630888, 149943179904, -840491340304, -376087609344, -1941753796808, -1629674810528, 1280828205796, -33557458944, 683174585520, 1296976895232, 3704781884144, 2102590543872, 6482845882912, 826430762784, 2823292407132, 161872818688, 1125605527748, -1094900675008, 3230663753720, -242305728512, 3082152553076, -2997387880192, -1962584840356, 1490140284672, 590212538696, -2044021568000, 3160194115216, 378006228992, 1524712873884, -261903933760, 4463714250000, -931691409920, 8146258371624, 9708664896, 502411331536, 38445924352, 1383580220568, 912517311104, 1419316002560, -643134100480, -1370042377404, -256215051520, -3236045145024, 87435694080, -6233193456164, -3649548104960, 80343834472, -483275825152, -3669192014760, -1501228938048, -181107929408, 294507249664, 1819488595600, -1788268434848, -8276301880304, 1015342069504, 736494676188, -197222256000, 2364576292448, -734486268928, -934602209644, 1455247238144, -2934626706232, -821803993088, 585503513504, -2727429015616, 3899699671648, -488964718592, -1141411422976, -1852879809792, 4980322512816, -522372162816, -1359181292936, 76671892480, -4975780901344, -34660548608, 2969569854776, -456591127232, 2931166313712, 28004069632, -4609134890196, 824247645824, 44405555008, 306671910912, 615209990000, 304768967552, 5326408274984, 2232408938496, 10063307494824, 3144368287552, -33594216392, -637572956160, -109069104704, -367614375168, -607956913472, 2327779104512, 2621935818180, 1559948429248, -5725851103568, 25058295808, 5157949994752, -261139303744, -9130683605976, 1239864887296, 4667256330104, -2312951030176, -1409606572136, 967632285696, -1219929714424, 3990976644000, -5436616123264, 767669070848, -53111670304, 545727389536, 4396300159808, -21838692352, -3388423531648, -1324216850944, -1243778788376, -31368874752, -173461721272, -4290251379136, -908214133856, 357412982784, 237535208572, -1537653620416, -4646763148472, 10905051136, -4623285307604, -2919234432320, -1475467815392, 350947917824, 9002014266816, 1575516947808, -692102201868, 2873596340736, -4406635368396, 1426720991552, 3162921868272, 632668160000, 77394270948, -1145313593984, -4147980938576, 317173660672, -8382777707184, -477483025184, 114225802464, 337039851520, 470603764834, -103207743584, -437807573600, 545919412480, -2255542584032, 1380591501888, -3467687227960, 102315286528, -1899377888320, -1666561798848, -5737988994784, 1488153124864, -4024864920936, 675719176064, 3006797863104, -228741578752, 5338367145380, 8527738419968, 5682107735952, -7256313856, 6247998915632, 267359247232, 1856106922784, 1099984596992, 6747919199908, 2166355043104, 3602687464064, -2511654918144, -2829350092184, 5291027299520, 202355635504, -65909293056, 3049304365032, 1445478205472, 1019621694512, -886434228736, 5395335396052, -3371150561024, 8656869988672, -166377398272, -1973015285196, -543494875264, 2469408933908, 133495866368, 4069977227984, -1272764944000, -235144347232, 146144313344, -2223692352496, -142464468272, -12963752903760, -1621470210816, 2807535016572, 2198525598720, 1677352140848, 160381069312, -1805042022112, -3248937663456, -1900582214184, -1429815843840, -7714300996944, 579272713536, 9512401869632, -59838693376, 4318098525520, -1922593352608, 466155560140, 1649894138112, 2365527762576, -2884507329088, -364045975104, 998198345728, 9138683280764, 911582958944, -1623247433082, -49691534080, 5553943134796, -184280673920, -980057113040, -452061265920, -7339406473888, 4032166212288, 3152360481880, -2403559697920, 2915119184936, -1183126240736, -4650353104576, -55525486592, 1055411095952, -2276773842624, 3382454177280, 1723301192704, 959801084724, 1587166016384, 13723704187520, -625511235584, 135421897556, -2398173700448, 968708689312, -480039192960, -2098140012408, 1390970977440, 3731843250136, -760750802944, -6249119148160, -1902673092096, 5090175460768, 848321560064, -6876036805680, 2602827405120, 5215092795568, -355053797376, -2495092081048, 2457147614272, 3301299020944, 4522976837120, -9429746610320, -149375312576, 1348677900108, 549701261312, 331403832300, -1603574042624, -4493320071444, -1132444934144, -7528625048404, 573162043904, -1049252506344, -264249540608, -9304146459532, 1115612767104, 6345437574736, -2271589383168, -1796812249400, 426500809056, -10781381999616, -17402394624, -975656513408, -6464112909440, -1463195911740, 1323231499776, 0, 5175588334080, -7429174257040, 125294903296, 771252207632, -1249582009856, -1672774134320, 62314439936, -5196936913292, 5124443355904, -12950963962912, -450979088384, -2500878423592, 4435707362912, -554710136960, 1810251199488, -779036913876, 987462053056, -303889664424, 193810399232, -2815565924064, 1542878385216, -2813838920068, -1030828150016, -10114482771936, -1618387970240, -2822950716192, -1518641397760, 1982382420312, 90479121600, 8299187879936, 2635795378432, 2525494372288, 804163792960, 7355130282176, -310972383232, -1011492796504, 72332855712, 2741052580636, 2545608176640, 2984267677048, -1609907695488, -4831578948000, 47290261504, 1108934607704, -3482487910080, 5712913345520, 1545807177728, 4766896522888, -436985314752, 2021874059000, 580135354368, 8993515397556, -4895793484256, -7772470599752, -424879732992, 8068368420, 417050064384, 1930595910416, 677762854912, -1058283812634, -1720190676960, -5018487966176, -849477422080, -8155789420968, -1592385669504, 4374043024384, -320087654400, -3114972832540, 897864486144, -506177264152, -91736760576, -8882882620880, 6114721579840, -12010749492872, 329055391744, 200702176052, -358871460640, 7162672817440, -6065353453056, 2015252124184, 4263269747456, -1520305783376, -41589669888, -263590687024, -618949073280, 8823778797920, -6523619976960, -1077975483816, 877918979328, 9538914114656, 178288173056, -2220234859092, -651774695936, -12897117000752, -1745986062848, 2576843135204, -3387367034752, 3055063275488, -152867799040, -3386087195520, -3389347889824, -3947729197720, -620586477568, 8126806142968, -259023567936, -4858944878480, 1020194426880, 14421746283392, 2957172123360, 317011446752, -189253128192, 1901265485952, 2147201566336, -6746261632352, 795130068992, 4502572405124, 460655735040, -5332996268896, -1190499634688, 10922093216928, -37727163056, -3017360995560, -1694188623872, 620430250976, -4209466468992, -3557385290984, 501451163648, 3737121563336, 7788940640896, -7940828387120, -326116507648, 579184751156, 1823337159168, 9291658272168, -127295245312, 1462658409832, -2174782804160, 759015603920, -465344397312, -1979951757672, -3085848922336, -11650149293528, 561756110080, -2177503984472, -2313914298624, 592387354720, -77686898688, -4443903503892, 1790480888192, -1681591522416, 743440994560, -1104835032536, 2490235265152, -317566180932, -182490494976, -4669703769520, 1934147645504, 7089932052384, -263999336448, 7012937506648, 185082273152, -11429741153088, 1202247360512, -16994705778760, -1612759879808, -11868727623948, 981270386944, 773937876264, 1852000802176, 7564367184, -1429734043648, 629458723492, 5445086093184, -6671640820088, 742880617472, -2516420874088, 4139790845760, -14659211112512, -838203604992, 6173978633936, -2527308772384, 2034859853488, 1030142247424, 7485133214108, 10489829327872, 12159971840224, 150896982016, 11523963600604, -299471225536, -10560339231296, -327909474816, 15663925678128, -2789584048832, 4253905685824, -815275900928, -6415757584544, 5759034650768, 967304899528, -4326834902528, 1782618671732, 3146570396864, 5094703054256, -82644187136, 2585668440304, 4160177969312, 11071645226560, -4109102714880, -1923778508828, -937058840256, 2838933473768, -199063764992, 4503601605884, -3976827633824, 2920370351680, 3085192132096, -6569433899984, -1006001987200, -7406802706704, 236151635968, 4461853731588, -245119718240, 3315200041208, 9370349824, -1095209196704, -4554319712320, -5520357423184, 5186043904, -21577803587440, 5007414545664, 2803530705136, -255600043776, 9714852709128, -7071358340096, 5639588661432, -1349872254976, -2688048866660, -1483052446528, 2163881723696, 1413777722880, 4146372588416, -10200978827776, 167830602896, -1102246051840, 7065655499880, -1141708285312, -3127283838840, -1857087814144, -11047419269228, 4314988643456, 7910516529552, 1366665031680, 1278164148184, -808420778176, -586679656976, -6103472988672, -7989267203236, 3079607332864, 268231956472, 449363410944, 7531955082156, 8188517405376, 15290616079972, 1172980909312, -451561363616, 120126991360, 3978917094712, 1268461780992, 3533903691278, 2845186922560, 2812870212608, -1806179120128, -9924455521320, -5165014867712, 15133146951832, -44660948992, -7053736936004, 5195771655136, -1215713281900, 606120038400, -4495467010888, 9519841812864, 2816155223672, 1372978051072, -5274796221092, -1989986796512, -916464037676, 560549149440, 8329203054736, 646711858240, -5680648209304, -1709876019200, -3989363268988, -183489698240, -4999501666544, -4481415243008, -5398398308252, 2602885881728, 8374330941600, -417613574144, -13770647610472, 144254615456, -7269321530648, 158053058560, 3026990198584, -6613567029888, 15008133180720, 386265907200, -1167358533264, 2820738654144, -1726925362936, -1025027008000, 5341032737020, -4501438555040, -340932456608, 381954965504, -4924107134892, 204550458720, -31033410193832, -343992754688, -4450897961256, 12994086543488, -677622771056, -979031916544, 5308677415384, -8456332705568, -1602597313840, 632388183552, -9405510112984, 2235415932288, -2454922727180, 603457826816, -4981371704980, 2604147328256, -2427971791104, -1299272991744, 2788635693088, -2178827459456, 7016093958544, 284117958656, 605011630880, -6047893632, 2788332290612, 81074706944, 1959142666264, 1565240221056, 12210657168896, 1237234170880, 3929834354128, -2080441379360, 32044293428, 5160132121600, 1560845513216, -6766932206208, 11689803918384, 1031403241472, -1870063439348, -3629917610368, 3809955838112, 4154847324928, 21282685485000, -5133506826880, -2682328871808, 0, 3859145369240, 539042528416, 4906910502816, -1601212171264, -9671958270612, -2699036605696, -5987013759984, 180100530176, -16975999522008, -8507294572800, 4167862212008, 6236910536320, -6670128506276, -602238212128, -146373436216, -4054900559872, -7010662849296, 2654922495744, -10979380513088, 2856441596928, 4788136890412, -501017575520, 5165864166608, -1019823947776, 2065049473088, -3953772265728, 10778169437000, -1868319822080, 72092980288, -5612463045696, 17783440861952, -1175877267456, -2407809133840, -1695571490496, 1688801703216, 158060019712, 2301191982872, 2336714361600, -19260295391632, 334101479424, 1227986008912, -2039713709696, 5402624797472, -355395144192, -12003597157504, -3821429957760, 9779260943968, 188632791040, -2321780961924, 1676369309440, 5126665985776, 734667845120, 22810269227544, 4918542455040, 1268600510540, 1275484405760, 4918489245656, -492251265440, -3471933617328, 1555283064320, -1262482761544, -178305967040, -14100238640000, -701483360256, 13901057553284, 2029631635328, -12789658082276, 2164488411648, -1794065487432, -3052000315264, -1996569067696, -50971803648, 515961478992, 10968804487264, -4688495648136, -6578218497536, -494708411912, 1922211755072, 8301577444344, -841444239360, -780675258272, -3994479046752, -2372839846144, -1106682743296, -453586307580, -10611985248512, -5883424230984, 454198362112, 10174620306040, -6248397569280, -8422246759000, 343267638784, -3363191613836, 1150376687040, -4713927997056, -5520219234304], "hecke_cutter_primes": [3], "level_primes": [2, 7, 11], "relative_dim": 34, "hecke_orbit_code": 134217882, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 1, "prim_orbit_index": 1, "conrey_index": 1, "ALdims": [4, 4, 5, 5, 4, 5, 5, 2], "newforms": ["154.8.a.a", "154.8.a.b", "154.8.a.c", "154.8.a.d", "154.8.a.e", "154.8.a.f", "154.8.a.g", "154.8.a.h"], "oldspaces": [[2, 1, 1, 4], [7, 1, 1, 4], [11, 1, 1, 4], [14, 1, 1, 2], [22, 1, 1, 2], [77, 1, 1, 2]]}