# Stored data for newform 144.12.a.n, downloaded from the LMFDB on 23 May 2024.
{"Nk2": 20736, "analytic_conductor": 110.6414180005808, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1]], "atkin_lehner_string": "--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [144, 1, [127, 37, 65], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[5, [-10530, 1]]], "hecke_orbit": 14, "hecke_orbit_code": 58546795357143184, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "144.12.a.n", "level": 144, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 3], "level_radical": 6, "minimal_twist": "4.12.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+10530q^{5}-49304q^{7}-309420q^{11}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "11.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "144.12.a", "trace_display": [0, 0, 10530, -49304], "trace_hash": 113819022306675920, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.980", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.910", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.686", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 1, 0, 0, 0, 10530, 0, -49304, 0, 0, 0, -309420, 0, -1723594, 0, 0, 0, 2279502, 0, -4550444, 0, 0, 0, -7282872, 0, 62052775, 0, 0, 0, 69040026, 0, 141740704, 0, 0, 0, -519171120, 0, 711366974, 0, 0, 0, 1225262214, 0, 33606220, 0, 0, 0, 123214608, 0, 453557673, 0, 0, 0, -1106121582, 0, -3258192600, 0, 0, 0, -9062779932, 0, -3854150458, 0, 0, 0, -18149444820, 0, 15313764676, 0, 0, 0, 20619626328, 0, -2063718694, 0, 0, 0, 15255643680, 0, -13689871472, 0, 0, 0, 65570428908, 0, 24003156060, 0, 0, 0, 29715508854, 0, 84980078576, 0, 0, 0, -47916175320, 0, -23439626206, 0, 0, 0, 152019999234, 0, -169857791672, 0, 0, 0, -33993225612, 0, 120016223318, 0, 0, 0, 11761206318, 0, -76688642160, 0, 0, 0, -112388566608, 0, -189570934211, 0, 0, 0, 139255564500, 0, 75467913856, 0, 0, 0, 760244232060, 0, 224355090976, 0, 0, 0, 683846748774, 0, 947422383916, 0, 0, 0, 533314455480, 0, 726991473780, 0, 0, 0, -1071599988366, 0, 894016742200, 0, 0, 0, 1492529613120, 0, 455657155046, 0, 0, 0, 359074721088, 0, 1455188276260, 0, 0, 0, -363036267144, 0, 1178615882799, 0, 0, 0, 1791331859178, 0, -3059450018600, 0, 0, 0, -717419953908, 0, -1816822473490, 0, 0, 0, 7490694236220, 0, -705323508840, 0, 0, 0, 4656439752768, 0, -3544456173502, 0, 0, 0, -866061471006, 0, -522515672, 0, 0, 0, -3403949441904, 0, 12902011113420, 0, 0, 0, 1407998382480, 0, -3512915200364, 0, 0, 0, 353873496600, 0, -6988383670016, 0, 0, 0, -3928935970188, 0, 13417135972960, 0, 0, 0, 6804356324508, 0, -6917214879874, 0, 0, 0, -7431603730362, 0, 1297449822240, 0, 0, 0, 12474725227344, 0, 6409841197394, 0, 0, 0, 4775962296690, 0, 7843117975736, 0, 0, 0, -18066327860700, 0, 2253466254240, 0, 0, 0, -29975357360898, 0, -35073237286096, 0, 0, 0, -13504181232744, 0, -11647460258460, 0, 0, 0, -28211620197942, 0, 30115579278160, 0, 0, 0, -19200369640500, 0, 8749240178702, 0, 0, 0, 50985087552054, 0, -15760397296772, 0, 0, 0, -60410328199056, 0, -29075766939629, 0, 0, 0, 10521953211330, 0, -95431072683960, 0, 0, 0, 12552714481968, 0, -1656921070880, 0, 0, 0, -40584204322740, 0, 56224086191476, 0, 0, 0, -19456679682648, 0, 26118948791594, 0, 0, 0, -32116037564358, 0, -21362364844920, 0, 0, 0, -10372746198888, 0, -106953790673350, 0, 0, 0, -6074973032832, 0, -26911117041428, 0, 0, 0, 161253942038280, 0, 43752773623154, 0, 0, 0, -43857408631680, 0, 75127910227280, 0, 0, 0, -91789174369980, 0, 110756993006630, 0, 0, 0, 6254192538846, 0, 217124665233840, 0, 0, 0, 20709026615736, 0, -95783718301083, 0, 0, 0, -21730957847820, 0, -205328535113936, 0, 0, 0, 54536218478928, 0, -165040661066962, 0, 0, 0, -118996974573444, 0, -119092025451428, 0, 0, 0, -49776505057152, 0, 160641927950400, 0, 0, 0, 193513207790754, 0, -16601321289744, 0, 0, 0, -144154346600160, 0, -40750205499466, 0, 0, 0, 15546232186830, 0, -244303426970176, 0, 0, 0, -220111169095080, 0, 361195246007114, 0, 0, 0, 446831301767328, 0, 690456616401240, 0, 0, 0, 311673503174364, 0, 262038534006206, 0, 0, 0, 141449424718050, 0, 190025034181232, 0, 0, 0, 381245413669776, 0, -290597562166894, 0, 0, 0, 33140301195168, 0, 55150686487768, 0, 0, 0, -124887220682652, 0, 312904308232620, 0, 0, 0, 182239655791806, 0, -379120634255880, 0, 0, 0, 894840227405280, 0, 277455380410202, 0, 0, 0, -50854981640310, 0, 4598856229648, 0, 0, 0, 285606814067820, 0, -755029853585504, 0, 0, 0, -10398436592400, 0, -282367677682100, 0, 0, 0, 632900805699744, 0, -1226107848184556, 0, 0, 0, -246819263949180, 0, 743315927441608, 0, 0, 0, -1260438550649100, 0, 157376877347052, 0, 0, 0, -1016630056475712, 0, -448549676457164, 0, 0, 0, 423495043422696, 0, 1600770591934020, 0, 0, 0, 969213472138746, 0, 101749586488976, 0, 0, 0, -1788602546306160, 0, -38125064007360, 0, 0, 0, 674209041592806, 0, -455642021850452, 0, 0, 0, 323098218249408, 0, -899769533345543, 0, 0, 0, -2111854600477116, 0, -357948665694360, 0, 0, 0, -140339815179660, 0, 1149655554125414, 0, 0, 0, 1263770831538540, 0, 871516747100068, 0, 0, 0, -314162772071544, 0, 674965423055488, 0, 0, 0, 680516490520170, 0, -57923479154680, 0, 0, 0, -884626418027124, 0, 123845502528540, 0, 0, 0, 1858918585270230, 0, -174453115623908, 0, 0, 0, -451922417569800, 0, -679199226574654, 0, 0, 0, -3232884426880032, 0, 342256139902440, 0, 0, 0, -334702485949932, 0, -644983136072576, 0, 0, 0, -1985417488681074, 0, -1183451606382240, 0, 0, 0, 419215720932360, 0, -2532839410071670, 0, 0, 0, -1996181937241830, 0, -943382780481056, 0, 0, 0, -212371959061152, 0, -1267448139994114, 0, 0, 0, -4351862573035578, 0, 1268505581899660, 0, 0, 0, -1465093448537616, 0, -1563559560111875, 0, 0, 0, 1621562439966948, 0, -3347764582856552, 0, 0, 0, 794677132903680, 0, -781749283836762, 0, 0, 0, 475533475034238, 0, -4599550884406652, 0, 0, 0, 4982166938035224, 0, 2804205366559440, 0, 0, 0, 3595982119671114, 0, 8005371763591800, 0, 0, 0, -3261770403977556, 0, -294480694406002, 0, 0, 0, 2362459107977280, 0, -502809672234672, 0, 0, 0, 1192551234714360, 0, -3070228507817758, 0, 0, 0, 4041569937884994, 0, 1155667330460624, 0, 0, 0, -6601263252921036, 0, 7200906264590220, 0, 0, 0, 1906504522005708, 0, -973448772421388, 0, 0, 0, 9976357702635480, 0, 2792987667337428, 0, 0, 0, -4393271584455750, 0, -3237035578636456, 0, 0, 0, -7495194042233136, 0, 1727319198028574, 0, 0, 0, -1032279404421888, 0, 5615801216204400, 0, 0, 0, -6550728469575696, 0, 8374668560596288, 0, 0, 0, 4284125199372150, 0, 2686113921244792, 0, 0, 0, 76605445702440, 0, -379856499556186, 0, 0, 0, -4738385066047920, 0, -1975569086472860, 0, 0, 0, 7865792853310008, 0, -11283947877493980, 0, 0, 0, 1676001995574048, 0, 5454290872913584, 0, 0, 0, 9413996295366000, 0, -11463612353206354, 0, 0, 0, 7250920774871958, 0, -5917279874470672, 0, 0, 0, 15620553114115608, 0, 10629422183813378, 0, 0, 0, 337767945383970, 0, 8795404013653600, 0, 0, 0, -5575487090123016, 0, -6380124778409760, 0, 0, 0, 4798069842634380, 0, -10533413874260012, 0, 0, 0, -579874516302672, 0, 6642990604506052, 0, 0, 0, -14407209517592934, 0, 280867945365216, 0, 0, 0, 638555838297480, 0, 3781056813056640, 0, 0, 0, -3252952648182906, 0, 3715978698543436, 0, 0, 0, 15323132549017800, 0, -152923222161680, 0, 0, 0, 17345071857972114, 0, 11335955986295896, 0, 0, 0, 273854895148260, 0, -681354134168122, 0, 0, 0, 1033885622718846, 0, -3822771893026320, 0, 0, 0, -12582381424076712, 0, -7433984575625153, 0, 0, 0, 12410825245873470, 0, 9346605340339144, 0, 0, 0, -5180794616669328, 0, 17465116665230030, 0, 0, 0, -142451115790986, 0, -14282820229199684, 0, 0, 0, -25669052847728352, 0, 18862724477144340, 0, 0, 0, 4235920030866240, 0, -26394712912965544, 0, 0, 0, -6865856352108000, 0, -27547248605485738, 0, 0, 0, 619011513320238, 0, 14565711418306228, 0, 0, 0, 13784546611098216, 0, -3720870024756224, 0, 0, 0, -560681173685952, 0, -7554432114651240, 0, 0, 0, 9785781889418304, 0, -2521406358412164, 0, 0, 0, -19131140645849700, 0, 16051505041069612, 0, 0, 0, -5368878644053968, 0, -20288802112713360, 0, 0, 0, -37483081617486240, 0, -18234710042086856, 0, 0, 0, -35539864221182832, 0, 44142294780052850, 0, 0, 0, -13886574264210402, 0, -2063888791756812, 0, 0, 0, -7427056548085200, 0, -34492183232562694, 0, 0, 0, 3726794636423658, 0, -8923427870998608, 0, 0, 0, 31840364955462156, 0, 3557013158666236, 0, 0, 0, 2831167897007958, 0, 49032310596647040, 0, 0, 0, -33716380101553296, 0, -5318049725989215, 0, 0, 0, -37323123506976060, 0, -23265058980496856, 0, 0, 0, 22697309315706516, 0, -46711713216594464, 0, 0, 0, -19745596877953266, 0, -9194572749604680, 0, 0, 0, -8327030168396664, 0, -9119627289693180, 0, 0, 0, -244749798663840, 0, 27294705267720544, 0, 0, 0, -5502090026160, 0, 38503727850961022, 0, 0, 0, -26294535912985920, 0, -20658624980553864, 0, 0, 0, 5033344316082408, 0, 37097208530027090, 0, 0, 0, 41062221158499666, 0, -35843587623249120, 0, 0, 0, -44916906791607516, 0, -40516175918252026, 0, 0, 0, 76030920481343850, 0, 23595780329910368, 0, 0, 0, 40438339116313752, 0, 44075923885102106, 0, 0, 0, -8785543677311916, 0, -18358989971017136, 0, 0, 0, 52834165826397264, 0, 14826222967514400, 0, 0, 0, 44822141287135542, 0, -55643760249503108, 0, 0, 0, -36990997059832920, 0, -44078601457428800, 0, 0, 0, 13119978126203586, 0, 52335294334579720, 0, 0, 0, 7252689140660520, 0, -13482471113023594, 0, 0, 0, 49112794380501324, 0, 2085359208260500, 0, 0, 0, -113016797843255352, 0, -897356218594176, 0, 0, 0, -73587680045268480, 0, 57810467642876224, 0, 0, 0, -40758757457016132, 0, 39890774409183134, 0, 0, 0, -42772713913733850, 0, -22465720372387984, 0, 0, 0, 70889466827835504, 0, -41371695766079640, 0, 0, 0, -4517808667911630, 0, -47038028162984280, 0, 0, 0, 141282441795268800, 0, 92512485845525798, 0, 0, 0, 41239672564889808, 0, -76982040359167772, 0, 0, 0, -3303202477076856, 0, -33840058645998022, 0, 0, 0, 52557397899150240, 0, 71649872097069240, 0, 0, 0, 34907757206471352, 0, -71746602772723040, 0, 0, 0, -72838272685073220, 0, 100829655697109696, 0, 0, 0, -4943053202214528, 0, 77910262765498754, 0, 0, 0, -51217472767701276, 0, 17538095826703352, 0, 0, 0, 64080374057467092, 0, -78254787280711860, 0, 0, 0, 17899140115267776, 0, 88451603781358420, 0, 0, 0, 7645808346937200, 0, 10518183868865040, 0, 0, 0, 80952899119819290, 0, -58110477485521896, 0, 0, 0, 114668799612032988, 0, 84592135111377564, 0, 0, 0, 6571636976093958, 0, 131358856643932320, 0, 0, 0, -37135419819055560, 0, 142422241706254994, 0, 0, 0, 67495627808558820, 0, 47002479453928656, 0, 0, 0, -88319825984912112, 0, 29866286695203398, 0, 0, 0, -90013162685604930, 0, 8055741898143504, 0, 0, 0, -106406407265918760, 0, 28144512232192575, 0, 0, 0, 181514186019460746, 0, -150302968605531632, 0, 0, 0, 82588032284500080, 0, -10868650387501234, 0, 0, 0, -4704250890410388, 0, -3639152458915560, 0, 0, 0, 2320174302561720, 0, -148302433977577054, 0, 0, 0, 35371673407480032, 0, -190238432373171000, 0, 0, 0, 44826904958656500, 0, 40400399090904364, 0, 0, 0, 23728999657147200, 0, 89576615232950960, 0, 0, 0, 173669528796958656, 0, -69684428587316144, 0, 0, 0, -101371301133779718, 0, -197917687289984768, 0, 0, 0, -175793196266468100, 0, -315640513010255940, 0, 0, 0, 205966271996391654, 0, -97186809055503956, 0, 0, 0, -369321188622590880, 0, 145654866792861362, 0, 0, 0, -2156835032531982, 0, 60598604998228408, 0, 0, 0, -26502402379075452, 0, 34775270279847360, 0, 0, 0, -262020758559726996, 0, -142199028380794320, 0, 0, 0, -64783602167912712, 0, 41064915685728890, 0, 0, 0, -68637913650490050, 0, 27474543993867760, 0, 0, 0, 146938175584023240, 0, 4763369281578880, 0, 0, 0, -229581105570473472, 0, 292765870579109168, 0, 0, 0, -31206089400166944, 0, -297068360684329260, 0, 0, 0, -93828454906489632, 0, 174755867178342608, 0, 0, 0, 317117049799024800, 0, 66003066208924704, 0, 0, 0, 48006436148364942, 0, 8506739739899808, 0, 0, 0, -111464244275063544, 0, 328125349918456263, 0, 0, 0, -166683136530466854, 0, -43088456767590000, 0, 0, 0, 42700294766479824, 0, -128831315204225794, 0, 0, 0, 92129499081732060, 0, 9390836348800136, 0, 0, 0, 58590519705489528, 0, 25762112692288, 0, 0, 0, -23351281905323520, 0, -76628951360661608, 0, 0, 0, 28069284454355376, 0, 536872971923128620, 0, 0, 0, -204609164828306562, 0, 149467923836643816, 0, 0, 0, -165956983535009160, 0, -206859242413564892, 0, 0, 0, 31313633536419498, 0, 186007862809653712, 0, 0, 0, -364591086840950868, 0, -426655223528149618, 0, 0, 0, 271179842704396470, 0, -636120755936059680, 0, 0, 0, -22153882894970400, 0, -235234770284005200, 0, 0, 0, -306167825874293370, 0, 80534193482681224, 0, 0, 0, 18750450827615796, 0, -223547991272483818, 0, 0, 0, 17464525281004032, 0, 300952713408532468, 0, 0, 0, -69419952249793920, 0, 110796167315304900, 0, 0, 0, -20271544642466892, 0, -314566433789357888, 0, 0, 0, -562370643994911300, 0, 173200771038746656, 0, 0, 0, 221632362139735206, 0, -501379864804676756, 0, 0, 0, 55576417651230960, 0, 353212046023405298, 0, 0, 0, -181648679034045006, 0, 132180083495123040, 0, 0, 0, -186674910647036220, 0, 62294993500533568, 0, 0, 0, -17447378876366400, 0, -211595861005651080, 0, 0, 0, 292796762142264120, 0, 67736561863710708, 0, 0, 0, 871611073529720436, 0, 64287583875621792, 0, 0, 0, 116885826608867532, 0, -239160731186420950, 0, 0, 0, -293151434031288720, 0, 335571588160894684, 0, 0, 0, 592039627596242280, 0, -76366662780441132, 0, 0, 0, -111528187973429472, 0, 296840548736343400, 0, 0, 0, 193712259074149152, 0, 488630095224816950, 0, 0, 0, 485898843804022350, 0, -204878837058283440, 0, 0, 0, 393412248738480456, 0, -661518472010819840, 0, 0, 0, 275032530775484820, 0, 300972054651340960, 0, 0, 0, -231456503448003492, 0, 326743324780474334, 0, 0, 0, -298374564801835152, 0, 251375125406668876, 0, 0, 0, 369868291430751504, 0, -338181875552689740, 0, 0, 0, -335481984223542432, 0, 23906355028978280, 0, 0, 0, -224945701817007600, 0, -48818563924146490, 0, 0, 0, 765750131253349182, 0, 341046362437307696, 0, 0, 0, 434526447758977368, 0, 358811394661583066, 0, 0, 0, -414301051836186102, 0, -109225017474290640, 0, 0, 0, 789708418397055468, 0, 491772254973463502, 0, 0, 0, -240020055438813000, 0, -447467572635586628, 0, 0, 0, 366407790321768048, 0, -150170099234654016, 0, 0, 0, 304021730711578626, 0, 331574468400207720, 0, 0, 0, -156782451742273728, 0, -63969466035720960, 0, 0, 0, -53430674815829412, 0, -130076043514718464, 0, 0, 0, -283374062446236840, 0, 263419900659094250, 0, 0, 0, -276626660371524000, 0, 689433664344701056, 0, 0, 0, -846258517394148996, 0, 60067390673470046, 0, 0, 0, -615053852608968576, 0, 950261593842775900, 0, 0, 0, 15029799092409168, 0, 950938461339933355, 0, 0, 0, 460716706251811620, 0, -316030810396313776, 0, 0, 0, -135218758971631176, 0, -888924386830214170, 0, 0, 0, 159612506269207326, 0, -760271226897915356, 0, 0, 0, -1310352396913223640, 0, -461818512891590400, 0, 0, 0, 574544317486713066, 0, -625694562137558232, 0, 0, 0, 791096894693258400, 0, 346529892293901468, 0, 0, 0, -38063823961860522, 0, -872561723096317796, 0, 0, 0, -140989436914333320, 0, -386697088675687744, 0, 0, 0, 183866691903561954, 0, -966540006115889400, 0, 0, 0, 87650802845556192, 0, -233401036667392138, 0, 0, 0, 1166271136359813900, 0, 857682301730546836, 0, 0, 0, -387191175831907344, 0, 451253788282110218, 0, 0, 0, 890742228843952800, 0, 904033654174670944, 0, 0, 0, 41176431521371080, 0, 65856647434048380, 0, 0, 0, -266090647828231908, 0, -111104900199048960, 0, 0, 0, 1279505033115460200, 0, 963374235365135186, 0, 0, 0, -1178674153106373756, 0, 953163549731372824, 0, 0, 0, -490825955953935324, 0, -497036137745979130, 0, 0, 0, -450264356440369200, 0, 218066050263700080, 0, 0, 0, 1477905019321714992, 0, -394225355124112102, 0, 0, 0, -1008602553710403990, 0, -1632971536383314104, 0, 0, 0, -1264662435103235028, 0, 322645949376491502, 0, 0, 0, 99701581627027584, 0, -77487625769005224, 0, 0, 0, 448252855885152864, 0, -128059471782075850, 0, 0, 0, -1284564807758752128, 0, 653357886103053064, 0, 0, 0, -2162109474749746080, 0, 112330681779696480, 0, 0, 0, 665810151499210176, 0, 106660706431335464, 0, 0, 0, -26871400062599256, 0, -928164361448534307, 0, 0, 0, 273577221085827636, 0, 574266380583111840, 0, 0, 0, -364687326455666580, 0, -1340840862733264738, 0, 0, 0, -1737878161035109860, 0, -757684641860882708, 0, 0, 0, 1813254173859875184, 0, 1047321129583841138, 0, 0, 0, 859081249676427570, 0, 208160764518905080, 0, 0, 0, 1390945722239332368, 0, -1253038142258365320, 0, 0, 0, -1465019817964997922, 0, -546289999238842432, 0, 0, 0, -1254039028003536840, 0, -1484818520730400640, 0, 0, 0, -377612398601220438, 0, -554273903866856760, 0, 0, 0, -1028633387309277876, 0, -477541040722063776, 0, 0, 0, -1337437066042195434, 0, -524146598251810560, 0, 0, 0, -691758493394359896, 0, 26809693324293636, 0, 0, 0, 946655024755212000, 0, 150970203395222112, 0, 0, 0, 88604783987144148, 0, 1127000237745674678, 0, 0, 0, 1847003310347707404, 0, -431372537770723408, 0, 0, 0, 1057262711388921576, 0, 2037694078036639620, 0, 0, 0, 1197642158646706458, 0, 180594774430423072, 0, 0, 0, -174811913181004320, 0, 772928368967102368, 0, 0, 0, -786858362663432868, 0, -1540921892755466800, 0, 0, 0, -2513768756666470416, 0, 221984082138213360, 0, 0, 0, -333654809497772526, 0, -849494514230934800, 0, 0, 0, -2382329894484528540, 0, 777050628320046688, 0, 0, 0, -429099663909376980, 0, 1251855866649955012, 0, 0, 0, 562161209747275800, 0, -2675254678561304230, 0, 0, 0, -1148077571490681462, 0, 2215038837413028112, 0, 0, 0, 1082349131196907116, 0, 163701824927319900, 0, 0, 0, 555727078596668022, 0, 519995409074176828, 0, 0, 0, -2572515085995953280, 0, 426359777714872994, 0, 0, 0, 4140777223661760, 0, 1433551613191468216, 0, 0, 0, 66567799029045492, 0, 762434258281939670, 0, 0, 0, 154684269526771728, 0, -2317770610571192400, 0, 0, 0, 1448894239126748136, 0, -785367938494355324, 0, 0, 0, 3803385940454910420, 0, -216414247398548688, 0, 0, 0, -518774381131414320, 0, -124882490374959394, 0, 0, 0, -432127323675842922, 0, 1423579537795404528, 0, 0, 0, -469127490846197328, 0, 4705133607609963840, 0, 0, 0, -2553340115636075790, 0, -546127103300053192, 0, 0, 0, 4068827071681619700, 0, 2170583786066571904, 0, 0, 0, 607657616167885470, 0, -887797324715008604, 0, 0, 0, 2209429585223825400, 0, -2728200728642002054, 0, 0, 0, -618899034818950272, 0, 3281921988426052920, 0, 0, 0, 1896685617828349836, 0, -1440795588301474560, 0, 0, 0, 2759265763085349180, 0, 15242358941526060, 0, 0, 0, 2117755459099691712, 0, -3369256075057706302, 0, 0, 0, -142479192290446044, 0, -2508153781832078440, 0, 0, 0, 1096725629204988840, 0, 317433337788879000, 0, 0, 0, 1133387173994214798, 0, 1871803079040929812, 0, 0, 0, 2000963609928372960, 0, -376350854782084726, 0, 0, 0, 261283320577388250, 0, -2777260615004737568, 0, 0, 0, -53518710722505192, 0, -2772072345584532704, 0, 0, 0, 176110452898037190, 0, 4014514205942741280, 0, 0, 0, 172029260570579712, 0, 4051243402381181906, 0, 0, 0, -3059992329617393820, 0, 267976740358676520, 0, 0, 0, 625727131831795536, 0, -1355288978514502548, 0, 0, 0, 959292135073276992, 0, -2043734555909371772, 0, 0, 0, -6446962336254765768, 0, 348967371585119040, 0, 0, 0, 161676799230240, 0, -1287768651220750576, 0, 0, 0, 580736728716197040, 0, 1057501638302749372, 0, 0, 0, 2922640351947654912, 0, 1826575575050288380, 0, 0, 0, -730411356595277088, 0, -2456977375459418639, 0, 0, 0, -339436168578534078, 0, -1315062433788325560, 0, 0, 0, 1583449116073106832, 0, 3446134177180081430, 0, 0, 0, 1843929784927769850, 0, 1732978247469234120, 0, 0, 0, 170707797386143632, 0, 1053250036313935680, 0, 0, 0, 316533325800034746, 0, -4197225060867690560, 0, 0, 0, 3650289776739416124, 0, 1918983575487717180, 0, 0, 0, -3087528844488045732, 0, 1473551149958476396, 0, 0, 0, -3992140278714416400, 0, -2741715348648174092, 0, 0, 0, 511417878589973952, 0, -292512940545520576, 0, 0, 0, -1876289401654874172, 0, 252733685285507750, 0, 0, 0, 4096454281887105630, 0, 5273249695358848400, 0, 0, 0, -37172565231440040, 0, 4928745274568134586, 0, 0, 0, 2921605155719427060, 0, -4008613381840614224, 0, 0, 0, -945149082363538272, 0, 613456197741009326, 0, 0, 0, -3732689784675726954, 0, 862631920154839684, 0, 0, 0, 55884930884087184, 0, -535502956672464300, 0, 0, 0, 2999132620029558306, 0, 2215532915235163240, 0, 0, 0, 48425956098193440, 0, 1326825714610566112, 0, 0, 0, 1086966221296628880, 0, -1107142195861320048, 0, 0, 0, 1236540728036105352, 0, 1558830031523830548, 0, 0, 0, 621160809397517466, 0, 3007439752134144600, 0, 0, 0, 590766919881876828, 0, -6268132787382500290, 0, 0, 0, -7950464358255357120, 0, -2679509685271175348, 0, 0, 0, -5718722087747133936, 0, 3131464314372523060, 0, 0, 0, 464743844610466194, 0, -2157186750715984816, 0, 0, 0, 2159651218981289832, 0, -109495537317972000, 0, 0, 0, 1237052554949841984, 0, 661663983165466180, 0, 0, 0, -633674647945638000, 0, -5558453399439332902, 0, 0, 0, -712025373071279862, 0, 1894947588577730704, 0, 0, 0, 2162345675176350720, 0, 4181787114013344974, 0, 0, 0, -4156933859559933066, 0, 6664445484018304320, 0, 0, 0, -1876518666120291552, 0, -4600938202161562159, 0, 0, 0, -12910915641383374680, 0, 4526984116639471608, 0, 0, 0, 3598480390891140468, 0, -343412515798552064, 0, 0, 0, -746755271383248594, 0, -11104281804477089448, 0, 0, 0, -5404583279753341848, 0, -1454493851045021650, 0, 0, 0, 4525573453137493920, 0, 1215691367895570960, 0, 0, 0, 7827116715960132240, 0, -3019487407144576162, 0, 0, 0, -917002646641498266, 0, -5460762783198885520, 0, 0, 0, 4922520228197251632, 0, -1940412020110796288, 0, 0, 0, -4151530212753283200, 0, -13272417938335023000, 0, 0, 0, -8375573590907243004, 0, 247568310999317664, 0, 0, 0, 1657178518464457560, 0, -7992710520680589020, 0, 0, 0, -308356708935263184, 0, -2315430576716096518, 0, 0, 0, 7284796450685796330, 0, 10893706438114210424, 0, 0, 0, -8025811619232408192, 0, -10705114494689247360, 0, 0, 0, -3459448804312034640, 0, -136290337126469856, 0, 0, 0, -4723228093093936920, 0, -2105403933929265360, 0, 0, 0, -4722344923258194012, 0, 762167953423030312, 0, 0, 0, -874062792348409296, 0, 6109203393911006188, 0, 0, 0, -1021037848262247744, 0, 4459402807240988880, 0, 0, 0, 2140324628130613080, 0, 6514169712430727690, 0, 0, 0, 9433262807967574350, 0, 4722520447116596232, 0, 0, 0, 1967354050793125788, 0, -2442714316680273732, 0, 0, 0, -304565776206377040, 0, 905341208844288268, 0, 0, 0, -141282856409555376, 0, 10205817861620995380, 0, 0, 0, -909975462719917230, 0, -1426884455651045864, 0, 0, 0, 1071423145728917280, 0, -5598332120232848890, 0, 0, 0, 1492738355057115564, 0, 2299486826248610040, 0, 0, 0, 2037912951878384400, 0, 10123518095257500544, 0, 0, 0, 9293998755001871232, 0, -10540147328619489800, 0, 0, 0, -2398059174653063892, 0, 2051559503883390204, 0, 0, 0, -401456923997500800, 0, 900604877165168, 0, 0, 0, -7537553870440291488, 0, -3612664784881955998, 0, 0, 0, -501689930786998686, 0, -85655360179585296, 0, 0, 0, -3111806334878155656, 0, 7099421207972247180, 0, 0, 0, 5474986554432340206, 0, 8137164753245494448, 0, 0, 0, -4797910490085259560, 0, 9713795384466102314, 0, 0, 0, -5940850539503522502, 0, -129523428204648760, 0, 0, 0, 14668121185960091472, 0, -3859929479844780480, 0, 0, 0, 318313672529779494, 0, 3402224238166266240, 0, 0, 0, 5867026834369082976, 0, -4311192502356258704, 0, 0, 0, -9474573186128567790, 0, -364289421442268168, 0, 0, 0, -1983333063297651480, 0, 5871713222857206112, 0, 0, 0, -5419625496719601186, 0, 10631642276340172516, 0, 0, 0, -4117508750884780872, 0, -22237828943024031480, 0, 0, 0, 1038671396241667092, 0, -6471323823273251792, 0, 0, 0, -2109373980425673300, 0, -5892765697965410770, 0, 0, 0, 2454180805337822208, 0, -3566846508556070564, 0, 0, 0, 9869001977543324544, 0, 3774870040723321730, 0, 0, 0, -6540922572053499486, 0, -1477778253841819800, 0, 0, 0, -2803961417571815724, 0, -1468061322538011956, 0, 0, 0, 12105872984940609420, 0, 2732462399192924500, 0, 0, 0, 2637023656899406536, 0, -5596137129146767798, 0, 0, 0, -2426817564052233120, 0, 2086937796118689568, 0, 0, 0, -9540975196915335216, 0, 7447339701901607450, 0, 0, 0, 6201795231604570374, 0, -12463189895097498932, 0, 0, 0, 9177071346963716040, 0, 818511544869538176, 0, 0, 0, -3220095930752219886, 0, 6054839561856188216, 0, 0, 0, 18763377211590752664, 0, 4418266499751900230, 0, 0, 0, -12110942076478969410, 0, -3308133989913358320, 0, 0, 0, 4211897144684193216, 0, 5590083166657794000, 0, 0, 0, 7107385904774288640, 0, 7751610906084876304, 0, 0, 0, 3317104586111222520, 0, -1116666876711646656, 0, 0, 0, -11953202494998830346, 0, 2009148131945671664, 0, 0, 0, 1380620848779133992, 0, 7165838645177390100, 0, 0, 0, 14993564182854402690, 0, 7995117305962999240, 0, 0, 0, -609934235498780400, 0, -14506242039078704170, 0, 0, 0, 15341993655194554542, 0, 5999274329401042996, 0, 0, 0, -766491431739466320, 0, -8045530975206008873, 0, 0, 0, -1618272402692521356, 0, -9315116181825615720, 0, 0, 0, 217660894279147260, 0, 12045136163337557504, 0, 0, 0, 729815489379432450, 0, 9274975074609059160, 0, 0, 0, 4876255737460134504, 0, 14402154119785898162, 0, 0, 0, 15616823113857509874, 0, -827541897027282288, 0, 0, 0, -5005424043959410044, 0, 19574412702895521900, 0, 0, 0, 10852361081063824320, 0, 7388542406867293348, 0, 0, 0, -1836991307519751240, 0, -1904929780610755462, 0, 0, 0, 1366865465367653226, 0, -17808370409134748656, 0, 0, 0, -474887637855490464, 0, -4068173120443536800, 0, 0, 0, 2686657262072086098, 0, -1014180451541244000, 0, 0, 0, -18617732702613066816, 0, 514637744729884720, 0, 0, 0, -7151967855831106620, 0, 5920735406115098536, 0, 0, 0, -4110493376869018236, 0, 4178463757035648480, 0, 0, 0, 12068698188884722830, 0, -23125695060178018240, 0, 0, 0, 17589760611044734728, 0, -34042273015046736960, 0, 0, 0, 19653417470601348570, 0, 25264449006497970192, 0, 0, 0, 3603957153172693200, 0, -1225510991675435266, 0, 0, 0, -549623156720274432, 0, -9738522443485565728, 0, 0, 0, 14488055233064599248, 0, 10495464699635340084, 0, 0, 0, -15366750400508842656, 0, -3524417177052783960, 0, 0, 0, -5981751424603299420, 0, 4083344555659969356, 0, 0, 0, -6791672422844225280, 0, -12919547880641980624, 0, 0, 0, -11727947734784041752, 0, 4263913176295587482, 0, 0, 0, -14471665264791487926, 0, 8729239521647213640, 0, 0, 0, -17841632406550863444, 0, -20906446155811709220, 0, 0, 0, -23071701606276550986, 0, -8897085013658426372, 0, 0, 0, -6974022436298737200, 0, 11922470063661547156, 0, 0, 0, -9318362540248267200, 0, -2073442367236140424, 0, 0, 0, -11726986353337463472, 0, -1748079513122364234, 0, 0, 0, -2528596536083628516, 0, 4414341541417750800, 0, 0, 0, 8943057768778467624, 0], "weight": 12, "weight_parity": 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], [1], [0], [0], [0], [10530], [0], [-49304], [0], [0], [0], [-309420], [0], [-1723594], [0], [0], [0], [2279502], [0], [-4550444], [0], [0], [0], [-7282872], [0], [62052775], [0], [0], [0], [69040026], [0], [141740704], [0], [0], [0], [-519171120], [0], [711366974], [0], [0], [0], [1225262214], [0], [33606220], [0], [0], [0], [123214608], [0], [453557673], [0], [0], [0], [-1106121582], [0], [-3258192600], [0], [0], [0], [-9062779932], [0], [-3854150458], [0], [0], [0], [-18149444820], [0], [15313764676], [0], [0], [0], [20619626328], [0], [-2063718694], [0], [0], [0], [15255643680], [0], [-13689871472], [0], [0], [0], [65570428908], [0], [24003156060], [0], [0], [0], [29715508854], [0], [84980078576], [0], [0], [0], [-47916175320], [0], [-23439626206], [0], [0], [0]]}