# Stored data for newform 3.18.a.b, downloaded from the LMFDB on 16 April 2024.
{"label": "3.18.a.b", "space_label": "3.18.a", "level": 3, "weight": 18, "hecke_orbit": 2, "hecke_orbit_code": 4503599929360387, "dim": 2, "is_polredabs": true, "nf_label": "2.2.14569.1", "trace_hash": 2181978801109804764, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-42912, -594, 1]]], "qexp_display": "q+(297-\\beta )q^{2}+3^{8}q^{3}+(88258-594\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 972, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 5.49666262033679, "hecke_ring_index": 6, "level_radical": 3, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [3, 1, [2], [1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3], "conrey_indexes": [1], "field_disc": 14569, "field_disc_factorization": [[17, 1], [857, 1]], "field_poly": [-3642, -1, 1], "hecke_ring_index_factorization": [[2, 1], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.029", "prec": 17}, {"__RealLiteral__": 0, "data": "1.933", "prec": 17}, {"__RealLiteral__": 0, "data": "0.126", "prec": 17}, {"__RealLiteral__": 0, "data": "8.830", "prec": 17}, {"__RealLiteral__": 0, "data": "0.834", "prec": 17}, {"__RealLiteral__": 0, "data": "55.841", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "17.2.3.c1", "atkin_lehner_eigenvals": [[3, -1]], "trace_display": [594, 13122, 382860, 24471568], "traces": [0, 2, 594, 13122, 176516, 382860, 3897234, 24471568, 130340232, 86093442, -809382420, -987553512, 1158121476, -2519398244, -435565296, 2511944460, 50611323920, -34313126364, 25569752274, 80053542184, -514526095080, 160557957648, -259702850088, 297228742704, 855162262152, 1796695260350, -1635537155076, 564859072962, -2416139220704, -470374069572, -5310358057620, 3400754454592, 5026499631648, -6479338592232, -15780403538748, 31801338154080, 7598435004036, 10652012180428, 54393717084264, -16529771878884, -98377731579600, -113376799448748, -2857743907056, 61637031489880, -67200775334352, 16480867602060, 446377123388592, -279645641926560, 332060896239120, 60469362475890, 180203550461550, -225128422074204, -749398920924104, -530964038611476, 167763144669714, -307321280077680, 565580346246720, 525231290269224, -680706445363812, 1727524231086456, -3375805709819880, 2784287656027900, 2158582756499136, 1053420760128528, -994533569423296, 2640922679811240, -1703910399427368, -3329301676696184, -6348514481766072, 1950117780880944, -3324459101139360, -13489402206504816, 5610719601979272, 436589918136724, 18388942762073004, 11788117603156350, 25252347669111376, -13070541011736384, -10730759274453636, 4376041565214880, -15229171694708640, 3706040377703682, -16735234653750924, -39886442265612888, -15852289427038944, 13106143850552280, 67184884152159768, -3086124270461892, -59869809989481888, 6972184096107444, -34841259216044820, -4762196572326688, 238944325336039008, 22312349976578112, -99165314702307744, -92450059415485200, 32978864083242528, 183569555712460996, -170560284296616126, -42510940503634152, -51355745178295300, 40276548673682508, -103535227617725628, 28879615848487120, -282733082030011536, 208648579628918880, -67487418084550068, -313621361729830440, 49853332061480196, 508398181131038044, 370959026004095760, 69887851915788108, 411319716137047168, 291213619006815972, 356877177789856104, -1203614159339547360, -362871450572636808, -108451833297357924, -183512972103679944, -255653641020800736, -645456296893755600, -518957917096391542, 813619838466691164, -743865181183235628, 982387644643656064, 1295862970021011000, -18749657774194416, -547522401523691264, 8483461957187712, 404400563605102680, 1777320795218233320, -173043565020758520, -440904286968683472, 80088915524536640, -1128945330341032248, 108130972337115660, -2982957292238876784, 2235451104692514324, 2928680306552552112, 1474707871871898136, -4778334677740472640, -1834755056680160160, -3593764980026073072, 1130335408476386640, 2178651540224866320, 1814295112249098600, -9458699917813797708, 396739487204314290, 9983950606844831896, 2873129476659131052, 1182315494578229550, -2026911818303692496, 9307761193032693408, -1477067577228852444, 333047288534609088, -3391920140625751680, -4916806320183046344, 2926283189514212284, 8951577123807551520, -3483655057329894036, -13632835856158221120, -6882724393280765568, 1100693992177993554, -8986684248416735672, 54569255073574824, -2016334918589658480, -7751133279955796760, 14249215700799056208, 3710772651724729920, -11125117587290988306, 18659628398558706840, 3446042495456378664, 34473900490235081392, -8879411169741722148, -4466114988031970532, 32365892451616226800, -24083691155532005184, 11334286480158237816, -27815983980104945196, -4496197109439271320, -22148661262128232680, -33703132163498842388, -2566643756723997984, 18267711311199051900, 67214048998516390080, -51553924216890993720, 14162461465390831296, 16226864939286969264, -34250637140925270336, 6911493607203272208, -58544885086875622800, 10382892093199663488, -6525134748986245056, 34334621344127653252, 67280032052063482212, 17327093702241545640, -106643787868064441244, 39175991341151043852, -11179356130642961448, 56554277094569060752, 69873188641075611000, -21843548300803663224, 83593186037546566572, 10137177550202496480, -41652603514867198392, -81324335952969686280, -29318566769712939312, 12794722760359873584, -87705931077606525728, -35605578958478708256, -21811776162575340960, 48873640347408715432, 6722263301764983768, -88503967876878097776, -20056992297837975144, -160253797076714507760, 36811931308586003592, 7870837057360994816, 213434208562169322684, 2864466452895046164, 247443105498081150240, 62135542205758635768, 120649853461960979244, -162959764041449889344, -60299235038636787456, 77341839594308812350, -26593854804280845180, -21624132645001482552, 165680653057039737936, 118788800407382795596, -426107000065428902880, -85755819578002415424, -102934811018030094864, 123739130974773780180, -70404511599690305796, 3176602622418991680, -261305241642167847696, 28711208709374827680, -12152223477985475808, 85525564093454875104, -99918595488983387040, 29036211590433299428, -187312835598684019686, 24315330918113857602, 237827384293794887416, 675164941089642827820, -109799874563259812364, -204436427088907271632, 375079596641648997120, -261694947704686158168, 192222896471390763000, 165067078954940433144, -104006870930802511584, -100881983627324171712, -494812826180284053888, 85989409803473509080, -255076148606968758016, 399338051527293149700, 440800024922320237848, -316922549959331410336, 822904808907471673680, -20248061338500473412, -184917035019047678136, -899622563579709572592, -392805823340990667168, -419177778779760080760, 90068305456942781760, 45744499854560940084, -377082290405037573872, -84448023970388823396, -228593501716470064020, 214962549626173078048, -1019195299758453792480, -31244771711035399968, 1742930053521714610740, -932448706847144011800, 1567713718529751931488, 1176569901489109052332, 673376783784218369496, 146391328196328992832, 366446425834898236800, 752300178661880747316, -650623629761841108384, 73709644707489862456, -945470699610022826208, -606564839824998397200, 731499245860450888656, -1884815163077719565664, 216374327250154226208, -946653072135005329306, 652380227503776383400, 1204399855029456594756, -5656957518364329426392, 713446366556067642828, -1119046025270098402686, 2782688557508858235600, 2728353201915798270000, -278914280644343671272, -1585532561435635007988, -1586023552659618271584, -336945044114795463300, -681682870339601159488, 2227145799600845986608, 264254435848030934988, 2852297093717027742016, 579860041708475775720, -679294628399897845308, 2162912526440604475240, 1350128984984237411712, 189479159581923994320, -2357136036425017837440, 2275095409382270829168, -1855011751198905687696, -3257920901542159391372, -2722460348209554673380, 1368943330945336771680, 4931444987152341782080, 607920365369600114940, -442784950052732996148, 162941849117683965648, -3579063948314063498880, -2057669754309417516840, 1192598600447258960256, -2026029315092893244208, 327087711655371565956, -1067542845708607555100, -249301851856653813624, 3335600466400740606684, -5125838070138874910640, -2948419888498423823616, 2433862169612872281360, 2738069250766192739224, -1087784418157311069360, 458534196419485776588, 1895922557668374845904, -144025802054775591120, 2698668657575166469248, -4687123913397618783068, -1068758637955667650530, 1910652554303719592292, 9928381626879182858160, -1532050975543381007616, 2341471163479245898344, 585010881108451492640, 10547280429669629596512, -7896912499426770228960, 78573490927844741820, 1055641054636677178296, -2380799587207070097288, -3647657013087102593732, -1632168494800447395600, -711552478263965339364, -1950708546174881015424, 9726613624787106782916, -1204028609972244112584, -4034584177467834552480, -17137362234095169709464, -1677343538737473628896, -849174326562980709720, -8926580400196284462384, -4234838763919930491600, -4181735058808357493382, -4080747093775208429364, -3404882894069424907062, -1104751141677733988416, 33834628682750337746040, 5338159760179960727004, 16575785370771213675232, 17188031991841698662784, -4880499453743208955308, -17313330004574538848760, -9146737975246400995488, 6445445336507027435904, 13270562571927224522860, 7002827321587390733616, 8502156946307853171000, -20376974054580534205056, 2422980276607655933256, -123016504656489563376, 1044496282368715097080, -26625264503534944711200, -3592294476396938383104, 21469141827372838084992, -12567073254445446757632, 55659993901108578432, -17338886516828205267840, -8374353671728086575580, 2653272097813078683480, 23780847007315147026568, 9560818194291610641036, 11661001737426828812520, -12731942437265165339808, -21246188621321258240184, -1135338830101196649720, -3290564137248742486932, -26096956945035252724800, -2892773026801532259792, 12120447021429423948700, 6197685661178376715152, 525463374756484895040, 35926573264462317359600, -16897711734574446456540, -7407010312367512579128, -8169988415699739536512, 46103571975230810638488, 709447309503815845260, -1797091054443862325280, -3308929403051536673904, -19571182794379270579824, -4390426778283393117644, 31417650513815079704760, 14666794697887586479764, -19961255594412110450528, 41600572703139195218880, 19215071491291294406832, -22050354699624208185360, -20360647576555896379968, 9675558347351523670296, -24348301102370943963936, -1227011071995663187896, -31350653820655240991040, 7045936503622509194956, 22462754224682006856936, -12037827926878530809760, -22550717927756248203600, -23292457955334869825700, -23578692033951065425392, 34459042530718413088736, 15735005825186094354864, 7416130615013572745040, -66686851314219895040880, -52778845724889159124128, 14294132755415347925520, -21791173966029107595932, 3292092865970639267328, 11903590231466335914600, 81959536237416263715256, 53706753245274753792960, -62058530160776326762188, 2660822106897744262000, 41728073872459327848000, 2603007775547506056690, 40717829253886113083832, 12321817673067701892216, 65504699931508942069656, 106535948952921821350200, -67288784494273241017536, 18850602496360558832172, -40448976075990402297344, -102075298406676601555068, 7757171959927764077550, 58153018632001024883184, -41470142405383718128440, -13298568439890526466256, -21706295078132640721656, 3144367949254762317120, 61068221187487501449888, -80075058262792237516652, -33971775295336130244564, -9691040374198500885084, -146996933751490273053120, 23806471788396638268444, 2185123260075570226368, -4692530737428155516000, -26506882702771875268128, -22254388042645556772480, 93476417984038769041908, 12503298793240081293480, -32259166266720967062984, -36619783281018426782656, 126928711736878786827840, 19199344006402746795324, 19516055638862852685792, -24172205204403263833056, 58731297509301345522720, 30653284821990934807000, 15320004246470420255808, -22856260831141434770196, 109681345229374263186144, 104027321951054367560640, -89445036052254088768320, -64931959390155478304728, -53536352418013580378748, -45157554744315102891648, -65512494374400429350764, -9774036449191825263720, 7221653282679815707794, -51005504235768216052784, 179673599924412537686256, -58961635353862202743992, 136526276677522959051660, 91111234732030664193240, 358028882537724420264, 19600947122942325015864, -134801641996965369459792, -13229173400866749287280, 117062232519379393725952, -177173581362501186993024, -50855185449789982542360, -189554943579528837869336, -62878933046216538000, 93489104212942607780688, -133310790688602374473032, 310770749637001142674416, 24346379367965953005120, -244431160094146230663480, -201789974129666947839936, -72991896490216174275666, -245649243832760106175232, 50419791399915057562236, 122425821922943675577240, 287009892554846526856352, -317160854112275895541248, 22609484812689300414504, 309328574151794041964196, 138921685483907810492640, 226183261116432369012912, 136018304190060685481088, 51137893066164271574112, -58257816684675439013028, 304773568301756443428000, -167545772177477597527788, -29302180436477758660452, -3809088392954996382440, -94585198109084249689584, 212352620375054064034800, -326593060008541410474864, -82825546561786859174784, -158013097671445486012224, 251070117739712955712850, 137837175382019320126920, 74364253596318198310776, 46439934648780862183040, 85513319357360522196888, -182500670893468545430956, -317308240794385703815920, -235694606083812941259744, -29499549235031059130520, -160061279410862849167236, -54013015834257241079208, -145317366540823334613480, 401405941632410278721212, -295343431872837545148768, -221126250124715904907668, -174611865649488100456896, -122465955843288990365400, -16839749687866150773024, -206356169528515837746872, 838223082402206415975720, 119854453912776979515900, -72244214263774459229400, -81992119427347715769168, 440991375479266035314880, -171237702907113010666240, 550588155293059644068748, -338245296787021809796920, 269975563583599171810864, -34872498126525349801764, 92919909674429244133056, -243021433073535321282352, 460058574690190727412480, 106464460866661805341104, 29648198909764340019540, 46843148281163836465512, -224718430281610698674496, 453803757852029046321240, 297609795717952759995384, 45346309556860668956688, -823982569517811057241536, -623286021400663972919436, -384112991054990961190800, -185960013596294766824072, 334860182429829581679264, 68122155023482992144768, 84161572786742034326688, -215585139443617298775600, -42811409088098753812416, 306993034748206968331396, -89366002063057751018922, 225269450638821532986372, 227565598041362639163600, -608340726872937766335168, 441424290293588506792932, 273735986654641858026768, -1252591585558747267408560, 113683061780406780944040, 150402536028015810303276, -58016195360818163309160, -699689892202370799001884, 270220095756514216797440, -104221036405160930574000, 257033679189291998712972, 680543817084047412516448, 1074082294380827203288740, -73347755573148470060328, -273434492326888931492160, -1195101436155036188289192, 371052612017467607593872, -1054009432664728642361952, 205596508884254053528752, 458437990674097083771000, 268100440932646748032948, 158195064322709358411456, -143315520401572834412664, 1501617150864556046492512, 17457702388353942741180, 548454893592343023278892, 2973884062381305447616, 685294601787154780007040, 66510021906878579405280, -1115406796920990662663640, 406778221749605282508096, -273282731661043688649912, -617423149997532313565108, 1610684091344725653842856, -533568968187434111683080, -288668085264627323270400, -818102869210630714465836, -192359116576086594826032, -189906379826903394179624, -1101107126038894327330560, 83946176030721130584624, 536076401821554758460912, 963262503369922721312160, -575438613800176415301408, -444580263213116106283750, -1560912489346480790639724, -233608203546578804867616, -1875122572824048430945160, -507262642674907223762856, -143107063402656812038560, -1214829242299867060775696, 1307510619263205666030720, 320659954319348581949352, 2493359957191071580342236, 1064527115381991855982080, 44104769522880058501848, 561668823720106557592764, 307627182190866667863888, -580674533240197199508336, 1367212356807821685216000, 522570768134321388777732, -131593926466114954919784, 1440901597904395689001480, 1315184551177304114866944, -1051425162620323885413360, -1350753019900367603694768, 534610924967056812596496, 241523081315632769567112, -942263695557116597088864, -668945914271952636498300, 51640561933345486987776, 644180783337567051550864, -592157290490517723126372, 1400341842376392926129724, 436875568999822236406320, -2411863839423333719807328, 18793764397444397882004, 4335991192843147291392, -596014914108001244270040, 1623474215172910426724640, -1177465383707375430363476, -321933313843105057181352, 407671292411982409273848, -2052276974973390538737504, -217980858263604957878400, 791583688563925984819884, -808665169539951177014880, -130032856927430136830304, -1069179011875952723985984, 1467022418861905950398640, -1376522370912328305077808, -395623281088495962498816, 1565369303726540003784004, -2871180036692646481425852, 507439809578260117828350, 345947735549906944642140, -485597392128193110853428, -174482281370886625225980, 1871283373889170504914464, 2827073034440487735631200, -141875934283854727023672, -965017122442221323996928, 2751135028208923754985048, 1087030764707237720598096, -3370151380535405237878920, -573757127270431428215520, 779373319472838521905356, 2879184223603895352849088, 363639971299377757171176, -2795688027429279031795680, 2660992152951175697928808, 829481542335570001208760, -562643932251273847596864, -207092131619259014830728, -546264353438254013151600, -675355295089295452402704, 1584147977814585012126696, -2396998547636383077869412, 811852438325490771760980, -3822885164445952307674400, 3019749026009753333484540, -461924000605568096327556, 2203980493328659661462000, 614425525734080664527616, 20841689805691004412480, 1841101175113445012367204, -1611418606732387372715424, -1714423690414263248733456, -4094660100683663329772276, 5106688671341148682174560, 188374240342208244408480, -3538607647502236491631152, 2073796128477761508361728, -79730738239062706776288, -1176799388746598784652320, -108024812810244382002480, 561133226017157435557344, -6661905559047972836762544, -4714501846155185788211808, -655565905003220002369440, 1466592134716204250556032, 1209089236670583586570890, 190506584244832877547108, 547304357831584137883864, 306535730077692098626500, -1228959514362965853159846, -1107671393151396634876496, -464300967784492630915200, 159532886153745019726722, 8011877304896028867595320, -2099276023946254346477520, 1560385468351588256336376, -1246999918253466307143620, 7582257044940217703757408, 4429757178489146593327020, 6408952929169497502532352, 1625975573652290166302304, -720396977009547628920204, -5507276575122236288863544, -5739124063756166069808240, -1341307398130320609177552, 432368310474454094342496, -2587883822945644160021040, 2460897233565859070104320, 9134762272048814652405000, 3969121942442637020233548, -1716980551890445883740248, 2729119015975370885453664, -5984452547456906467250496, 1261174423748794796043000, -2443990401255188170682912, -7511502260992065005585664, 1083005105023364181857784, 1609804884845522750048136, -10346579635300266010387680, -682389080176995278502624, 1536374466653577823084, -9532875137632421742379080, -661886694578873890602432, -10178357695231487444596800, 9061195749484121717645556, -3246466952568843677559168, 4386414395354867132422880, 11837314478522983489383168, 564176517720589693073880, 872894598974104272673536, 180690679373307489243792, -1673554611010322021342976, -3810826836725387880832508, 1689882641871182112689280, 2620056956070570355181700, -8001306298704777336590840, -843949921100497922239092, 2892088963515343080520728, 1507184840081461182347200, 13668019446475366476101136, -2079328850283173383214496, 2204399353420725992673516, -2560565104111053975757680, 5399078451241921651014480, 6713617269943179024428736, -10755821295873139955757984, -132847530441901606056132, -3558633360644677272879216, 13202492314312076198008680, -1213240666759971816250296, 5011436439118724766217000, -5408350494161629063229928, -5902423639646474505776112, -8305738508178570349166400, 6885191326523683989210912, -2577199006940239767289248, -3462319177580472888078136, 3920913897784078097113596, -2750225406574005889866360, -1304399785917252627096032, 7106452258513518765955260, 590938152103001591127360, 5141137291033496237496000, -1072320134305099468615200, 300129663545774327891124, 2638635472314694063624644, -1444116256279716999201552, -2474036907347451522174192, -12710982393891532048193280, -5382028619528084934132096, -554063485269721070301156, 12195022297831299367563312, 3001898214826412703680340, -1499801964761760090035220, -10353367600110682587035816, -1961165659165506310893120, 1410369288097321565072928, -8321692181768426216531952, -10237817627803786426670160, -6686940361715215332461280, 8173915778266875904120544, -11782513022528503795795884, -204996947196103259190048, 25831637862819964887072240, -5392934051677425929411604, 11435364081155969561065140, 1540196068986334933685872, -3180944241978301643537088, -6117795965624111861419800, -2822022124282421523777600, 4153102088811040753702776, 10285769707273702422492768, -16148932536751130232292100, 12644402009382020470500720, 7719475123670044492350252, -2004386523897078684564608, 2980647045598315696065540, 4418025078408256722263256, 10950780020854649194406880, -11323903013828857794729024, 960473504296114521970752, 14582796755934667163545224, -2040671275876924823314800, 2404254999902767331644800, -13287575352807216284388274, 9672093452503978207693740, 4935841472200599583140276, 9034175876433559720534864, -9998293784588654576176620, -4268741634867439512107424, -5375092728603620912567216, -11001321205234088701869216, 483608978925840987573816, -5875702976809353387788100, 22373689798655487196199712, -6203233260141359762750688, 9358528438881644976994348, -653115063002843589030432, -3979671914091814484029200, -10673817604443332232859296, 4401888314977778787175860, 4799366552090418280472016, -3452636527247916821117000, -25484014930363466650161120, -12366272284952918070321504, -19595811842042514358006944, -11708609045308338290575680, 1419631961088261878150688, -11259255981584457364403160, -8734765030067313331518204, -6210990806277769965576666, 1261610167409614421814272, -1180365890213104015132800, 4280266672652276851487400, 4668080683107376970964848, 41474595353464962287085168, 7902067448848264718194116, 34834747255775121967312320, 21515138958411145087128000, -37115298277988365366557912, 17385737558972689109394268, 4375735600827067941037680, 4680921610974359804594508, 4700439189986332406613120, -16845480180963164611955484, -7342060971797115620022846, 5031343557553215960884200, 18708521175948669842489328, 18257219625815618883771600, -22307166989901535363208136, 6313158618114785512466160, 17900725357769552449470000, 3059302375720360670357504, 22701978397808211764849400, -1829956595307538827215592, -25603005191704082919849344, -13074285080914292630431872, -10402679135579201287409268, -2572117689250459419354000, 11500257458399983797888000, -10405900528999755479862624, -41058548767774822315970268, -3169290361287506275797120, -2210696434437173034711300, 7186812768441281497484952, 7003255414225507149989232, -4472521312298123207400768, 3869910561108231232906896, -27322163308978079513084280, 14612303591181150518135088, 10547942539398637878777880, -10987155742427457886879344, 1733773353598930964456268, 2911270369856985099120960, 1420259709937832097025824, 18713921231877419015366976, 20219700177560154950924256, -24842548042457373966179916, 3804461733649309564498920, -30651655169344528625014376, 1805050790018796547838016, -4456852056931729763065788, 23589026417241079868991280, -87609397175255284989897600, 14190869085976805962049640, 41155567183790561009327868, 15596629749789734542244832, 8858196270481581658242432, -10949420977660163803258700, 37197104316786230452197408, 1243172766017003326733520, -9736034493343037813190720, -33256614302561744472475836, -15465169534984542031443840, -19590043015923861604714008, 44616150495782972350224552, 14926900980957078910171248, 26708377685181082757905896, -4579429734531741708764640, -12170732099616020216973456, 423377320297138830834772, 233007305831795747668032, -21375219035018107766791692, 75115605484513541069228160, -11332160120246058703844388, -17862062344602888212046180, 6279537367385826679685088, 24912640588858094461017024, 8981637194332354558992480, -30278784994665431281532640, -28032737597199946706754456, 32355210560706514432226880, 31891539509911350294739736, 22463408210061604100751000, 3988565517189946354121340, -8140127437382624612691840, -26561159261385183399749004, -2905112057295981187727028, -62729091489036522280769280, 57610785335769330543400896, 1069061472061124498616528, 12658884349787515008158400, -4344238732195048387526496, -23482238564888570616151680, -34287249461262372014365758, -43189719587090086891808664, -13500371258024088327987240, -34360425750112666422548792, 71945188026394035223842840, 7824639417534466038239616, -51329867085462811216924784, -38253840237560149953208920, -13292778336324472575248688, -85186045619843338880309160, 42171162623277809939200152, 2146022476170892844237316, 11129433060779359693795520, -6999204953978430611262768, -7004148610694174169011100, 70098858544117145256615904, 3430095035845617232444836, -1635669450031505671187064, -7272028445761830555539856, 21574067139985725976074840, 21884874660055259120453724, 53636806785684085966369944, -10411562958904023100696656, -33630623578181158288709040, 60038394173245065163223880, 16417829298188215330295544, -19344582888438158706744576, -62049059934039364392039328, 75905622393096417227989056, 15968569694830055038002960, -18550846810793472720443456, 26706873541163657494219776, 17964472354276990562048664, 4386398568065760819328128, 48134435182611748134991200, -7136953567530117926070960, 51837817985580151972393804, -101802757633765426024358616, 3008442862708246180193868, 58712942491271416174860000], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": true, "level_is_prime_power": true, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "3.18.a.b", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [297, -1], [6561, 0], [88258, -594], [191430, 3520], [1948617, -6561], [12235784, 29376], [65170116, -133604], [43046721, 0], [-404691210, 854010], [-493776756, -128128], [579060738, -3897234], [-1259699122, 3383424], [-217782648, -3511112], [1255972230, 23094720], [25305661960, -26993736], [-17156563182, 21313920], [12784876137, -43046721], [40026771092, -116754048], [-257263047540, 196958740], [80278978824, 192735936], [-129851425044, 455722740], [148614371352, -1365533312], [427581131076, -876575844], [898347630175, 1347667200], [-817768577538, 2264576050], [282429536481, 0], [-1208069610352, -4675388688], [-235187034786, 2063000384], [-2655179028810, 5603159610], [1700377227296, -4379766336], [2513249815824, -15811058064], [-3239669296116, -840647808], [-7890201769374, 23486797422], [15900669077040, 48693407360], [3799217502018, -25569752274], [5326006090214, -58058187264], [27196858542132, -74702723348], [-8264885939442, 22198644864], [-49188865789800, 203822994600], [-56688399724374, -64587956096], [-1428871953528, -23036405832], [30818515744940, -186387709824], [-33600387667176, 281995072040], [8240433801030, 151524457920], [223188561694296, -554177765016], [-139822820963280, 61433939072], [166030448119560, -177105901896], [30234681237945, 718876781568], [90101775230775, -498090471775], [-112564211037102, 139840629120], [-374699460462052, 1046875513860], [-265482019305738, -343991051712], [83881572334857, -282429536481], [-153660640038840, -1762621724160], [282790173123360, 279687642080], [262615645134612, -766023308928], [-340353222681906, 847898148834], [863762115543228, 2656278051328], [-1687902854909940, 1292246293140], [1392143828013950, 50768356608], [1079291378249568, -3001167829088], [526710380064264, 1264540476096], [-497266784711648, -3671011095840], [1320461339905620, -3786452053120], [-851955199713684, 2989996897140], [-1664650838348092, 534402316800], [-3174257240883036, 12072122481468], [975058890440472, -8959264060032], [-1662229550569680, -1438727091120], [-6744701103252408, -1573308147840], [2805359800989636, -5751214112484], [218294959068362, 36563049105408], [9194471381036502, -22569287707622], [5894058801578175, 8842044499200], [12626173834555688, -34080380797032], [-6535270505868192, -16072932516608], [-5365379637226818, 14857883464050], [2188020782607440, -29178746268480], [-7614585847354320, 83908519216720], [1853020188851841, 0], [-8367617326875462, 37505776763862], [-19943221132806444, -15615881792128], [-7926144713519472, -30675225181968], [6553071925276140, -56310978695040], [33592442076079884, -86175665562668], [-1543062135230946, 13535345519424], [-29934904994740944, 57620433085776], [3486092048053722, 113966194036992], [-17420629608022410, 36762330201210], [-2381098286163344, 4393923836544], [119472162668019504, -208796175633584], [11156174988289056, -28735646930496], [-49582657351153872, 158068700867664], [-46225029707742600, 118544006835200], [16489432041621264, -103736351957904], [91784777856230498, -48656866579200], [-85280142148308063, 183271722887751], [-21255470251817076, -5515490268288], [-25677872589147650, -414676080586350]]}