# Stored data for newspace 197.12.a, downloaded from the LMFDB on 02 January 2025.
{"ALdims": [92, 87], "Nk2": 28368, "analytic_conductor": 151.363606570239, "char_conductor": 1, "char_degree": 1, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [197, 1, [2], [1]], "conrey_index": 1, "cusp_dim": 181, "dim": 179, "eis_dim": 2, "eis_new_dim": 0, "hecke_orbit_code": 201326789, "hecke_orbit_dims": [87, 92], "label": "197.12.a", "level": 197, "level_is_powerful": false, "level_is_prime": true, "level_is_prime_power": true, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": true, "level_primes": [197], "level_radical": 197, "mf_dim": 183, "mf_new_dim": 179, "num_forms": 2, "plus_dim": 92, "prim_orbit_index": 1, "relative_dim": 179, "sturm_bound": 198, "trace_bound": 1, "trace_display": [-32, -506, -4292, 73958], "traces": [179, -32, -506, 181248, -4292, 15552, 73958, -23466, 10915153, -451446, -1707062, -1036288, 3046244, 3377650, -4726682, 181403648, -138632, -16589758, 4338482, 44409558, 46136452, 44896562, -77277104, -30847446, 1738156885, -62733812, 67920886, 49491820, -251788870, -474827530, 161802396, 272554840, 78935140, -144713724, 215781724, 10506506996, -142573880, -857822124, 2394560438, -1799514708, -2377153492, 1614214262, 880054814, 101369540, 4773894, 451010202, -5301347590, 8809371172, 50524045501, -10601888772, -3162536174, 18317913802, 119766580, -4972778874, 9434182794, 35328186936, -10571741984, -4007942798, 16187715582, 6009852298, -14465398644, -43463472262, 15168448702, 162486953526, 2232825030, -19819831838, 47254686328, 25121875156, -74474183392, 24041413558, 14752009558, 84397626210, -34758371608, -95262925132, 6656822788, 55547915476, -1898299652, 31518277918, 29767846366, 115197283696, 635447630747, 70344065848, 164969853872, 147596010202, -8103076680, 197759629654, 99578816480, 265449026946, 53135278642, -478903734130, -37783882660, -421620319388, 269832424126, -246616469772, -45076718962, -167130334250, -12329623248, -23184330508, -228362184182, 961738706806, -131804422616, 508630257372, 96684347614, -194073119314, -146930310062, 305258600942, -183387667312, 365759888274, -398704740774, -224295908602, -1107363331230, -295130886810, -685909026660, 341935229034, 110451384770, -627925256308, 43117049032, -1577354238256, 384002471904, -2418277378222, 3671108901229, 1180809261730, -961341715800, 967400686954, -296796936330, 1919215460580, -451101948108, -1785959726878, 1542621351752, -2378870505692, -1180457394132, -3555928122176, 2238888720600, -2146470436674, 245569271072, 1334316325212, 3541002319522, -1492428695372, 318569795570, -93668796156, -414208282784, 1383890268286, -406784531308, 10380020870236, -517282407976, -468310574676, 3489643566634, -1544137162074, 6484898277858, -2716934572038, -2591916211674, -3814668090430, -5344230740708, 2995110661446, 191376430622, 5285556675664, 1287319806890, -1552493228062, -8027598983770, -8122718359016, 3657160302626, -6112952069888, 3996768167572, -1115345992666, 5090422142994, -3621085276356, -4188179275062, 9736770369454, 23766206167569, -268290449160, 10153760484992, 7167350543044, -2955454834274, 5570361281410, -3216470788318, 2395132392576, -6036567485694, -4766000249986, -1724321173890, 8782222957580, 980553664038, -7007299164056, -4446946720468, -4366353129394, 4860432797656, -2900762987294, 2300916431480, -1884089401968, -1032413286678, 1573367049896, 8036609779506, 28879635084596, -7278097120510, -17291082933400, 20973926279950, 16666521692674, -1483546403785, 11974281726992, 15053538703876, -75042267872, 4881951601930, -14000799260328, 10176401124030, -26518198921880, 18736874273452, -13637516079518, -11055098699014, 64449385405750, -18671201848178, 59673220300894, 13408598106124, 5356133422746, 2510370298510, 15629492950670, -36343405866662, 127362679194, -21521300233776, 26799056938008, 13859792476164, 11483059766188, -27516176396456, -63604064671712, -10391671817254, 54834929219194, 66341714339169, 34162314127006, 10030515132614, -33260575210872, -9593860185394, 9083399247822, 14337749708240, -43306170670304, 49905667887258, -16416529386922, 30925728272864, 32646007426340, 25385713646384, 31691513641044, 43838795935982, -14422451538760, -42188490381194, 66723995557138, -24927766362194, 15134322690096, 59956010263134, 26124592423890, -7004471918846, -71276382839018, 50901188311390, -103341600258614, 964723841116, -38150117018860, 7244700919722, 91127825607246, -9429374789810, 79065017418592, -12064131986162, -26616255814978, 10890655480368, -39284763823122, 25104067512848, 192744097841038, 67705758422364, -94177341234584, -129853114278078, 30195498294006, -31233974131330, -67574069176676, -89126230498400, -298684571421600, -37984772114162, -8705238859488, -174744649899840, 60356147010398, -136967873734702, -467440268688124, -19971569881472, -82364526731934, 61549994560146, 188640352892650, -106298780280020, 728279794794, -26639676810656, 168533767650092, 79157039684078, 15256157654400, 56504504588554, 74169114364290, 331939308193083, -3619266869864, 247090999977762, 125792118739728, 111590393031704, -158273468889102, 117447159089906, -12199303594928, 172418120613852, 286453772262170, -5136330789604, 212961536086072, 77910059395152, -216377070607432, 103365556590244, -105040686863434, -271072124945580, -122700327964154, 205422303486212, 177356099671214, 205297028994892, -379044105825242, 135441864498404, 212225312887292, 64828828804700, -334135444043138, -135550543658690, 149148421079100, 62440123739896, -157292226597124, 184019344002526, 288221532726392, 299488311152404, -252533967377090, -27362871921444, 236893382358042, 262804064445606, -666450989101424, -225174186797958, 16870622635590, -334993164958286, 353090679975100, 137949287598432, 224066102949170, -207168648386104, -350949435731024, 603651716688106, -306787429437650, 100245949837740, 35608066671246, 228467666071498, -457142431833542, 450418412988012, -478265257726540, 25994171008060, 772544410521256, -102841825878460, -480528041921938, -138558733958264, -51467084303122, -200398713232180, 201769395334552, 198224424713012, 370924161555376, 47633410362180, 547472126739972, 114538277140364, -485917234676456, -405640009037272, -96560014819036, -467022953260166, -1000682289246900, 1852530524763125, 238342336253106, -75380992281144, -952730224388890, 81688959977750, -71348312676834, -336018037843888, -1450282567892504, 125361578752430, 1429150071228626, -396451268534422, 416087009568070, 556707076570358, 316184551516190, 552311719145342, -852330747703162, -540195711863918, 880635513539506, 7768195439434, -234833208537902, -556936176480846, -529396176241432, -662540419143760, -523210425077664, 509830864857936, -497941725192664, -48547098303036, 836851398447092, -82272593313298, -348993657806064, -1001298028203766, 571038450099632, -890392429796712, -47473484921120, -92597922818100, 279163370816870, -1503934362606708, -774340787006508, -511304685020566, 1040120616563934, 996860380511282, 977243852922120, -1345233505023120, 95012516894948, 1629708511665142, -157939091329614, -661714661671420, 1598336902674338, -594919121752090, -348549853122708, -111311998199822, -1297294997611028, -376616739028058, 372845057039058, -706301276558948, -2050845448024142, -434068545656470, -374874880507434, -757004056006564, -2069175785262268, -305697743233612, 134973581011382, 675813388354690, -1884920904986846, -451290467106804, -1199356447981376, -846828824145022, 218613424630956, -2158158232177952, -908066723162320, 1403362675747458, 2906560819232576, -990090470102080, -1627222602847584, 78237189745120, 284469766541084, 63106399710058, 1388686472849446, -95949232337802, 1391692508622994, 2495533802915219, -463486641564058, -1064794168952400, -2342908570338764, -175416774755082, -1024675946672732, -1937997372643120, -1713077645198588, 1030636966312854, -2893550554892574, 1716986588908000, -240903146317654, -664314705449954, 4534413248743402, 1343366075979434, -1261790625089302, -435982541863854, -2071287013090948, -1100289761734744, -1823149789342624, 1190803497760040, 1387819577812284, -1797320528448278, -295792576569604, 1164336864962436, -1008511254056724, -1876594912046370, 3301661384266062, -3992348386112594, -1756487654944352, -2225301663556206, -4870574752305788, 554171101713834, 861445191362222, 1619919279782492, 2499582043691280, -5301258714839394, 4837100410701862, -798262548314752, -8443980897282966, 475782048684284, -3254227131347192, 1871839512223918, -178374249174146, -150318277539008, 4840469926286382, 1443391135462316, 5475592292602188, -528574729212140, -1725914914645964, 1452538896784934, 954724616003020, 791223028950396, -386276122855014, 752619875006906, -1765969811681388, 216577374114512, 2319705097830002, 2970035413012702, -360354573065768, 2421231855374532, 4481731399810272, 805943809469478, 12010380142493068, 2097081580421786, 1808337084270432, -1083554761204534, -2676989393553794, 2007638232306998, 2046508973346582, -3335391359203538, -4469230633961350, -4499752485124286, 4537811283335322, -4085890015211336, 9008293517179124, -3017388068228468, 2179292028481574, -2293040501362524, 1267734586601496, -82235889881066, -5048688705420404, -3905313003127394, -1496737203944406, -1377352122990052, 5712126599967038, -946651432855818, -2196784754856630, 12603688408932363, -4725195303417320, 3550486910720744, 6644357780503068, -3062919419214772, 12955651079672372, -2519911086783476, -3024579265162478, 7300284430655290, 8373053261741424, -3599474547493174, 14864726044365092, 9290213040542294, 6931845758435950, -3653348740441516, -9813271445370296, 1161027223123454, -1607606254297824, -1568018861918226, 14906635793719892, 3867414051517588, -8756515863417330, -4134537871986764, -2209320206137572, 7627864755298364, -584066428307596, -4067111036356090, 4121073532136658, -2000325753864366, -9604238881150288, -751325346456740, 9670023398573200, 3700058927348116, -3267504154228990, -5864102300966500, 18022401904616602, -5890645713552036, 5820635241704472, 7989832460169492, -6409694164065000, 1747159854816066, 17076924933567024, 2608548413089390, -8285309828612532, 3100832724302776, -691117184492432, -5370324128661930, 16718601158765312, 5742752386401698, 7635609135597176, -4646490543269582, -7381846867385098, 1563263406698962, 8104581420040346, -5271898390637606, 16368866159354692, 13342484765422692, 621145793814324, -116825423530414, -7177292685036662, 12540334193941834, -11190922333821464, -1586207814926922, -8925845890777884, 3289796103866412, -7616460093825100, -8682978182993838, 6898710272504920, -1073472284982286, -13235291256839286, 3389600679939626, -13723884693381390, -8905140813019564, -17786533564283512, 3274480615088166, -14378715791243484, 5501130207630922, -5030971710283192, -4658484103367000, -3521062299851460, -9867012798693184, 9592239878884170, -11149997197388070, -7947524814570368, -23617638676953430, 7493530800413992, 1659268522370980, 3037214500584988, -8908278322511548, 496868559967736, 11904295479772826, 10256177746352514, -29202725052907568, -20019165439542520, -4347436696645086, -3877869243777244, 20628362181993247, -17467307938992192, 5668777122171326, 7205011288384576, 10799028845941658, 7695909513053174, -2661303711201636, -3312003000101404, -4998723681508084, 13551308027522686, -1017311729869976, -13377574428704740, -5659491590973904, 15535554964892914, 2029604595451456, -12221474859687884, 10751253819535628, -17131267030227172, 13148198790094256, 4107918225574196, 30665061524885200, -1545185808393776, -4639407113638436, -13617096542850978, -11994592394661132, -20465131900613284, -3490672300265662, 16331589765738724, 614466300713634, -14273868246666124, 56777709105886, 2700314256545474, -271635857417140, -334544211559830, 7625126899630916, 5417255201223106, 1836392780190638, -31522430152973096, -20316200954955054, 5047062585392470, -29387242632349592, -4923203849616884, -28718114971536644, -21137690603691678, -20412556967717816, 17764417151088066, -11355408705980690, -16015969708461996, 3042280868824812, -32630356531965950, 36297836056490830, 26712070384196724, 6032789723588660, 16939221927421500, -9866382792774738, 15013545152206518, -20577039849339446, 23228213631706858, 22703670492844528, 19171548746425706, 10044291782670266, -24704013562079922, 18377125311950480, 24675483304912816, -8435945573572208, 88318215826809516, -11194809622378814, 5747994503155174, -14828169900993324, -14134734237199726, -18743301180073660, 12730824105440558, 9004251617187518, 20733177009133796, 40595132703103786, -12618561168207448, -13371616491636372, -34705943029511316, 3077919034759916, 6435630062955698, -2346685156423104, -12716528242033288, 27735686071983246, -4719881666606468, 14018511894505170, -44773782660953788, 44073469310610114, 5418310081230584, 18506345045055014, -44552256343839486, -21444445156210644, -7340631099512508, 18414931562212076, -32262803065366576, -22556959492913444, 51324823454258630, -32688891210520186, 33684216812475046, 8189316615331428, 25653330273256300, -4645585003475716, 44334341452494764, 16660973264012202, -17677363743717648, 64646297479336999, -22350512820796138, -15290814335474820, -32556108649821802, 3611011299549078, -16833354819783046, 25927904129084278, -22983249035286434, 28754197779192968, 80036746478271056, 21310048317852422, -13495202067395044, -18741418642801514, -3288089621620600, -20445535057398354, -64899968794150648, -10921577615288266, 4929157246886594, 26588698269568014, -17602562894453034, 23510409698016004, -19384928961449506, 6339517108151492, -24151526814594368, 13327959438430018, -3905508359709586, 20331306399980542, -43823267504578840, 23109781407144300, 10086235713103624, 34122098846073516, 19053937928202202, 40653231857045028, -37432330364395054, 89284883601748118, 62568371110923952, -43013245396543692, -36576173136346294, 45817625499877834, 9029689666516058, -15708110521753676, -85852976667315858, -67163218970513938, -27141166086714408, 28024113507329682, -5112622768926324, -9851768187013672, -42753016297140594, -12030632317227468, 26893734179976888, 4701871330931664, 78500476213620716, -6389802891566730, 28528522730537216, 113031212878951428, -34281278284484476, 7495375497519106, 90114044989290690, -31843762838640050, -4557454552427520, 42821195548723712, -57345113477420280, -30804794014269960, 83760449653696978, 14879420693177312, 89204825861115422, -90525724835864634, -28703317545679748, 56365208742143212, 14255173097652870, 62280918866208460, -46872179463967914, -28294400950137834, -36869322801886292, 25089079604255178, -45999352953806100, -3826803839392182, -14063297869579758, 17565643453940984, -36352490755058764, -73137595559375706, -61733664144691478, 79747232974380498, -49957612771712948, -15084517773703006, -41168517221589404, -18719174919859154, -68418191825879658, -2772195698405750, -149941458611213432, -37451062127625096, -11058463205305730, 67102024057267088, 68311116174185998, -44050321036406344, 41319918546506396, 93516547146906418, 4154023838479724, -75181830356568284, -175383629229020516, -1503771249365862, -108139119505103696, 79839481968969012, 64764771166559674, -62022136199448416, -63283844387387580, -118428409542420550, -120999326964002642, 20482154121308418, 51540829739664776, 36957929276120840, 255978701730997710, 99613664981455541, 21556927789563618, 61253033268117072, -2409203629097158, -11470090642414514, -81601135008011312, -6523993413331816, -42828146305276776, 24392745591038168, -84126936213397070, 100354274238178842, 74686700322990706, -23225041056723960, -76050350787700086, -19338752215030180, 3295140046804342, 101786155309531860, -196369207768735864, -113632673616275040, -227164460173503540, -35669835692018744, -178083426651769796, -30395007839562798, -111811519086549456, 47261499120274394, -98550695474432140, 5906579781557136, -80582123121007890, -95941900726915288, -207192687532597916, -34538998465052552, 30669408665663364, 68698270634105440, -29676518413210546, 4829639802819060, 68075980934590902, 16368192037125076, -30021039729575160, 93832672469229072, -51310592799061228, 85578349138369794, -16082835442307530, 6683739871175052, 15952253038822080, 27067979179100830, 11253252343068768, 20081426529711134, -136132458338142464, 163541837872634602, -19437880737777698, -21724445277593142, -152085169155684300, 19678021498952696, -6559150267361146, -42245327505083606, 98079460408490370, -10316609837648272, 47332627759023578, 83588091804230554, 23300567152973092, 66529119246245304, 78645494217677726, -79541170897329126, -154216979695099152, -72377618303395358, 30894146372020, -166834511984607340, 38139166663028444, 187610646363472082, 275745261991399232, -16693671886017026, -171009399346962946, -18613790634322448, 24754039294662606, -145988693791624956, -258339177088963158, 64531118004916044, 71261648814184858, 33498086775505226, 191428461976524218, 97877374833375402, -189924468185486020, 38486732016248442, 196628557579939618, -84719146998207546, 266798839418957840, -45795571724580592, 38329224041063222, -165689285246276600, -13499495676452450, -56690359343211740, 60296509033770156, -91750020682350114, -198839986522825202, 218930647480628962, -191072795365866474, -21770196040250774, 42765577870617986, -42100268285073732, 313600669530917714, 18393891931885798, -18191880063645656, 106985661763040806, 100194036706735112, 88706372865577576, 115663498789803522, 61172652299393888, 256554598106451274, -99089684478659252, 21616488646033810, -57386934362363460, 21662516874124280, 58487970438832628, -8778704035286810, 175899782146377156, -142857088624500682, 7579996259490200, 173004222463515970, 18087511944496764, 260628038717070340, 181046394365120097, 158330308376480508, 43639100715440460, 139649144033603574, -64195371281082272, -168203382397413428, -9775384482763806, 72960936081074008, -94523942228593226, 30267201988545824, -125403520123428364, 3575396815667526, -80582972858961748, 145048781650789452, 426758363578255312, 65606695324379062, 254957518247100654, 14809828187618056, 21565595544737366, 207507130619635178, 98699862947211788, -71983196505153666, -123534504190592786, -18350337753551310, -11126598028387500, -219274791147256862, -144343715057263120, -87901120436984778, 195887387817216752, 126504143953397066, 323744675311943732, -186245481102734246, -163502919509084958, -216297932924106750, -142845719447464798, 556693411333433630, -29302102587153212, 13625751863402800, -237312479167523074, -97209268842144868], "weight": 12, "weight_parity": 1, "newforms": ["197.12.a.a", "197.12.a.b"], "oldspaces": [[1, 1, 1, 2]]}