-
lfunc_lfunctions • Show schema
Hide schema
{'Lhash': '680585478269244897489949486278,793860746446787206777517071319', 'a10': 1680, 'a2': -8, 'a3': 0, 'a4': 0, 'a5': -210, 'a6': 0, 'a7': -1016, 'a8': 512, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2561.0051024264008, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 8, 64]], [3, [1]]], 'bad_primes': [2, 3], 'central_character': '162.1', 'coefficient_field': '1.1.1.1', 'conductor': 26244, 'conductor_radical': 6, 'degree': 4, 'euler_factors': [[1, 8, 64], [1], [1, 210, -34025, 16406250, 6103515625], [1, 1016, 208713, 836719688, 678223072849], [1, -1092, -18294707, -21279990732, 379749833583241], [1, 1382, -60838593, 86718450494, 3937376385699289], [1, 29412, 1036943782, 12068881050276, 168377826559400929], [1, 79880, 3382947078, 71402474511320, 799006685782884121], [1, -68712, 1316513497, -233952366114264, 11592836324538749809], [1, 102570, -6729271409, 1769319813014130, 297558232675799463481], [1, 227552, 24267298593, 6260550366186272, 756943935220796320321], [1, -321052, 215632350942, -30478069017303916, 9012061295995008299689], [1, -10842, -194636724917, -2111525837417802, 37929227194915558802161], [1, -630748, 126024428397, -171449045318518036, 73885357344138503765449], [1, -472656, -283219426127, -239458457625559728, 256666986187667409334369], [1, -2988036, 4581512063998, -3510079175433990132, 1379946262057143768386569], [1, -2640660, 4484433750781, -6571682429902140540, 6193386212891813387462761], [1, 827702, -2457652235217, 2601254530860253742, 9876832533361318095112441], [1, -126004, -6044834597307, -763673905117119292, 36732225162896895721934329], [1, -2829456, 20191695630766, -25734242302880365296, 82721210695570328927708881], [1, -1960564, 23055749837718, -21659131830194890708, 122045014039746588673695409], [1, -3566800, -6481846746159, -68496502571831921200, 368790120348678391253573281], [1, -5672892, 5045652654037, -153939886570647091284, 736365263311636486061599129], [1, -23902380, 231293612207158, -1057234174580194459020, 1956410986640441413344189841], [1, 8682146, -5418625312797, 701502502388510870498, 6528362774606076144776040769], [1, 10079538, -5616448917257, 1080662902270598736138, 11494742132376223120464911401], [1, 3747992, -108939942510423, 460955740862148936104, 15125897248551112432256145169], [1, -35971128, 644636807693782, -5776177103043459476904, 25785341502012466393542552649], [1, -24514060, 515842608584238, -4481266069004758766140, 33417270272362569384925825561], [1, -16594962, 40132215736627, -3904139854902912411954, 55347525466347647961440563489]], 'euler_factors_factorization': [[[[1, 8, 64], 1]], [1], [[[1, 210, -34025, 16406250, 6103515625], 1]], [[[1, 1016, 208713, 836719688, 678223072849], 1]], [[[1, -1092, -18294707, -21279990732, 379749833583241], 1]], [[[1, 1382, -60838593, 86718450494, 3937376385699289], 1]], [[[1, 14706, 410338673], 2]], [[[1, 39940, 893871739], 2]], [[[1, -68712, 1316513497, -233952366114264, 11592836324538749809], 1]], [[[1, 102570, -6729271409, 1769319813014130, 297558232675799463481], 1]], [[[1, 227552, 24267298593, 6260550366186272, 756943935220796320321], 1]], [[[1, -160526, 94931877133], 2]], [[[1, -10842, -194636724917, -2111525837417802, 37929227194915558802161], 1]], [[[1, -630748, 126024428397, -171449045318518036, 73885357344138503765449], 1]], [[[1, -472656, -283219426127, -239458457625559728, 256666986187667409334369], 1]], [[[1, -1494018, 1174711139837], 2]], [[[1, -2640660, 4484433750781, -6571682429902140540, 6193386212891813387462761], 1]], [[[1, 827702, -2457652235217, 2601254530860253742, 9876832533361318095112441], 1]], [[[1, -126004, -6044834597307, -763673905117119292, 36732225162896895721934329], 1]], [[[1, -1414728, 9095120158391], 2]], [[[1, -980282, 11047398519097], 2]], [[[1, -3566800, -6481846746159, -68496502571831921200, 368790120348678391253573281], 1]], [[[1, -5672892, 5045652654037, -153939886570647091284, 736365263311636486061599129], 1]], [[[1, -11951190, 44231334895529], 2]], [[[1, 8682146, -5418625312797, 701502502388510870498, 6528362774606076144776040769], 1]], [[[1, 10079538, -5616448917257, 1080662902270598736138, 11494742132376223120464911401], 1]], [[[1, 3747992, -108939942510423, 460955740862148936104, 15125897248551112432256145169], 1]], [[[1, -17985564, 160578147647843], 2]], [[[1, -12257030, 182803912081669], 2]], [[[1, -16594962, 40132215736627, -3904139854902912411954, 55347525466347647961440563489], 1]]], 'gamma_factors': [[], [0, 0]], 'group': 'GL2', 'index': 7, 'label': '4-162e2-1.1-c7e2-0-7', 'leading_term': '1.04664320763994529820442460356652947565366195369678734281725078628716461351441031988492236', 'load_key': 'CMFs-workshop', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7, 7], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/162/8/c/a', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.03515625', 'prec': 34}, 'plot_values': [1.0466432076399452, 1.0347782365746991, 1.012105930392153, 0.9707064415399955, 0.9125495381177253, 0.8415957952769988, 0.759797057623958, 0.6691026168947929, 0.572434572223068, 0.4730375036801392, 0.3742198631002443, 0.2793825693700004, 0.19202292095520998, 0.11559742218919714, 0.05345361144757989, 0.008742845238269297, -0.015641863685548416, -0.017146913747824892, 0.006380076753175972, 0.05663044583568871, 0.13478242012823094, 0.24146306063661538, 0.37671351767396016, 0.5399739604628087, 0.7300727213834556, 0.9452330573034428, 1.1830917267510914, 1.440724437939489, 1.7146975278355436, 2.001107088640564, 2.2956653382581202, 2.5937467951497553, 2.8905085388271563, 3.1809356142452923, 3.4599919203906393, 3.722656367499859, 3.9640987498432785, 4.179698154195053, 4.365236066114522, 4.516889185313455, 4.631430364691714, 4.7061893326094735, 4.73925103838618, 4.72937976240147, 4.676204174491162, 4.580102823871836, 4.442365794355522, 4.265042446806695, 4.0510710033594775, 3.8040924581511506, 3.5285416980500997, 3.2294344606655048, 2.912416583466507, 2.5835335113812987, 2.2492377687393463, 1.9161525444287058, 1.591041246311976, 1.280577887642169, 0.99128630657601, 0.7293302602633487, 0.5004332403538823, 0.3097002392734046, 0.1615317335375863, 0.05948699869132701, 0.0062074638938235125, 0.003328298915516685, 0.05142672666793934, 0.14998457561313333, 0.29737612523597173, 0.49087969996673314, 0.7267171869914203, 1.000107918816575, 1.3053682477307187, 1.6359963583612354, 1.9848354511229311, 2.344174202297655, 2.7059715718304482, 3.061954826833549, 3.403898225120493, 3.7236992144967163, 4.013697799528618, 4.26671199022024, 4.476380103092111, 4.6371388771940145, 4.744567822614069, 4.795297590735566, 4.787334198852567, 4.71989098638574, 4.593671396217136, 4.410624735295918, 4.174169266089322, 3.8888794248884637, 3.560636126643642, 3.1962603692596976, 2.8035845020345804, 2.3910535000506785, 1.9677188916117787, 1.542833688964741, 1.1257789397747135, 0.7256807208909395, 0.3512869930124217, 0.010634760866082752, -0.289098829058013, -0.5418542748322109, -0.7428364466086524, -0.8886784514303375, -0.9775571631320976, -1.0092526927295689, -0.9852058639756948, -0.9084728612537475, -0.7837032307363352, -0.6169999996492507, -0.4158051246294194, -0.1886856438391597, 0.05487599744754869, 0.30474056220542345, 0.5504077730087731, 0.7812845729591342, 0.9870464701369529, 1.1578779787056106, 1.28486919074146, 1.3601926842402356, 1.3774979448237974, 1.3319949532107291, 1.2208060219024204, 1.0429359647707002, 0.7995425118811076, 0.4937855269914413, 0.1309836139900486, -0.2816510230672431, -0.7349912431945415, -1.2183537768795647, -1.7196201763048198, -2.225656264527446, -2.7225658943768107, -3.1961290673463423, -3.6321623148142925, -4.016929313438201, -4.337566794185089, -4.582422878625613, -4.741496259344737, -4.806664700287709, -4.772079445060483, -4.634258867331618, -4.392380729515716, -4.048232624815741, -3.606352174548238, -3.0738448432933736, -2.4603359432840057, -1.7776853691799166, -1.0397340553883327, -0.2619617363506105, 0.5389677611213634, 1.3455477712565804, 2.140058129837944, 2.904842185045611, 3.623064426789176, 4.278862395343171, 4.858171390755637, 5.34870071443967, 5.740756441701781, 6.027008808035047, 6.203244570956431, 6.2679150073000445, 6.222758539859301, 6.072144125529269, 5.823521694569815, 5.4866005447994795, 5.073607769027252, 4.598362362696992, 4.076347354948925, 3.5237547301728327, 2.9574020574311155, 2.3938287984146878, 1.8491093898741036, 1.3380769259863003, 0.8740988287969202, 0.4684894265417373, 0.13031934380556365, -0.1339443132676837, -0.32052888839331417, -0.4284780631870355, -0.45959205582795704, -0.4183315665414628, -0.311578952800724, -0.14837233498493926, 0.0605130233577397, 0.3029303786888913, 0.5659323561879918, 0.8361537444375386, 1.1004820764169116, 1.346373783376778, 1.5625543786846328, 1.7391949445446409, 1.8685644058887996, 1.9450146778421846, 1.9655118977145711, 1.9294076369718887, 1.838791879401945, 1.6980603568429034, 1.5140575051906346, 1.2954813905817761, 1.0528162619249375, 0.7976418860403343, 0.5423879850141097, 0.29963004786305636, 0.0817268326469053, -0.09981275678817914, -0.2347274895232591, -0.3144922148215154, -0.33266094560406, -0.2851599321823328, -0.17049127899924477, 0.010188135854350954, 0.2530685068318667, 0.5518054525378409, 0.8977636990458591, 1.2802818757360317, 1.6871582810419739, 2.104984707842974, 2.5198375029926856, 2.917588386349932, 3.284732032300487, 3.6085820176667327, 3.87814456067007, 4.084123192811044, 4.219740896133511, 4.280505823972129, 4.264892454236897, 4.173858375102933, 4.011318200328534, 3.7834421110598404, 3.4988906113584, 3.167962463639039, 2.8025983258075446, 2.4154725922850253, 2.0198128265197606, 1.6285419445801794, 1.2539913853531568, 0.9071945359189416, 0.5975891602549791, 0.3325403501865386, 0.11712843590501865, -0.046056605517499065, -0.15696225521417703, -0.2180099005719647, -0.23392904490417943, -0.2114716397198458, -0.15902662122061273, -0.08619656343446465, -0.003229171416046328, 0.07943595992740575, 0.1518445578557664, 0.20489823030576645, 0.23104129358721887, 0.22445116928878084, 0.18162911846236812, 0.10134578542698178, -0.014956320335100776, -0.1634818350707211, -0.3379283798397101, -0.5300405488180336, -0.7297186878531776, -0.9257337087790758, -1.106062558329551, -1.2586583000702862, -1.3719291007176335, -1.4354461188961538, -1.4404489511870402, -1.38038440348284, -1.2513075956213575, -1.0521764908279303, -0.7850279170430281, -0.4550005352578964, -0.07019824111838018, 0.35853047588126835, 0.8180780166892551, 1.293461592783097, 1.7686333046367635, 2.22690781913296, 2.6520139019338846, 3.028428576242907, 3.3425410624194276, 3.5827643490881766, 3.7406588566563563, 3.8107262492996954, 3.7913442992534216, 3.6842020944219462, 3.494929996154571, 3.232200655028726, 2.9079936583470616, 2.5364508429927977, 2.133784500746842, 1.7170258608817492, 1.303655729153843, 0.9104112137178048, 0.5527748099098199, 0.24400015055078703, -0.005371947846031878, -0.18814338589356458, -0.3007468967191483, -0.34346749109792035, -0.3203991922578421, -0.23927015934144893, -0.11099450509562862, 0.0508097437822661, 0.23066756784693468, 0.4118843023473503, 0.5777027374115363, 0.7119085830390661, 0.8001404916965205, 0.8302767332667016, 0.7937003476302705, 0.6853176006261764, 0.5045777102328248, 0.2550425604216832, -0.05500198221033288, -0.413417638233105, -0.8041012509117077, -1.20819992892715, -1.6044930191170115, -1.9707787038104718, -2.2846465971745515, -2.5248209597028533, -2.672135762538036, -2.7106189023249185, -2.62842986354516, -2.4185127645409135, -2.0792495628848644, -1.6145908738291963, -1.0342185549818033, -0.3531674592687012, 0.40862573376533645, 1.227089342688447, 2.075094245706561, 2.9234000393716917, 3.742254534450585, 4.502258834744958, 5.176283692214874, 5.739991850351157, 6.173802760730551, 6.462862031377644, 6.598773778874183, 6.578903476981553, 6.407640309186975, 6.095043824575222, 5.657490036226198, 5.115800312217359, 4.495247425590375, 3.8234114038458826, 3.1296510165337255, 2.4429935278590693, 1.7912866430080134, 1.1994329365411616, 0.688503641709769, 0.2745709800382746, -0.03192688201690919, -0.22661183573487925, -0.3113143899779993, -0.2937551289318622, -0.1870779849318843, -0.008928886075930917, 0.2196170190787377, 0.47531891982789976, 0.7342989160596548, 0.9733191959256292, 1.1715025851782679, 1.31129305311056, 1.380044158779403, 1.370399194841851, 1.281432112309839, 1.1183062436253575, 0.8927314226122307, 0.6219143684253744, 0.3282318543368586, 0.037639454566747464, -0.221372547775362, -0.4196252450802599, -0.5287823293146829, -0.5231045646146993, -0.38111294242291377, -0.08692082548548441, 0.3683844489886414, 0.9860722043280693, 1.759057802776353, 2.6719886806561766, 3.7014889255894396, 4.816918043814034, 5.98168690389579, 7.154441063873043, 8.291365596081938, 9.34742570199798, 10.279388487015758, 11.046708949420266, 11.6148557291018, 11.955473464391709, 12.049537121572563, 11.886546893579931, 11.467066483621219, 10.800890981498478, 9.90864376322581, 8.819064370249947, 7.569523108303037, 6.202762009416282, 4.766398200433133, 3.3095766142744356, 1.8817287526205893, 0.5296326309904746, -0.7041684076070789, -1.7834651966794073, -2.6798479572859826, -3.373682512223766, -3.855049940562355, -4.123526132521331, -4.188320051452415, -4.06700871065685, -3.784790014590659, -3.372519941091028, -2.8652035255135018, -2.2998041229420414, -1.7132734367373461, -1.1406283173141036, -0.6129282052221515, -0.1560379426524718, 0.21102566842348172, 0.4763889406782031, 0.636268033963886, 0.6942777316166279, 0.6614967534074978, 0.5549607381164853, 0.39687644130067495, 0.2126395273364302, 0.029428584781857198, -0.12582350000487538, -0.2280744306745405, -0.2558313681397743, -0.19258815071805824, -0.027807520970774442, 0.24226057304024104, 0.6144004452428933, 1.078514042970033, 1.6181652135888713, 2.2116547526704884, 2.8330194675304528, 3.453975812567813, 4.044983684151551, 4.5777509231858735, 5.025943854429131, 5.36783112363655, 5.586296277136708, 5.671182338834835, 5.618419395780925, 5.431714312513149, 5.120811412307747, 4.7023345302736, 4.1974029767512615, 3.6316366315509914, 3.0325038325438585, 2.428695657463892, 1.8476500425083668, 1.3146420370760552, 0.850892623827211, 0.47277411154411925, 0.19078075508787684, 0.009200606640897406, -0.07397094844810992, -0.0666770472012968, 0.017924279670669875, 0.16252348803534578, 0.34687974398062704, 0.5494258164756701, 0.7485673695565902, 0.9245105743373327, 1.0602204538049484, 1.1430837968978231, 1.1652057359307426, 1.1245528634959485, 1.024443251283329, 0.8739411568374553, 0.6866046161362145, 0.4800930486802895, 0.2744260729293036, 0.0909713197396651, -0.04940948630628604, -0.12765544387714656, -0.12807295334833363, -0.03948698580802774, 0.14379937504188303, 0.42140786469403335, 0.7866864476627841, 1.2269574400974959, 1.7240254612715193, 2.255366134788743, 2.7950881953401687, 3.315934012403761, 3.7903074876018077, 4.192760667811561, 4.500661486591369, 4.69672076481463, 4.768946703083479, 4.712755143727655, 4.530024063967945, 4.230431330974258, 3.829643115169209, 3.34971344546922, 2.8166566165280753, 2.259979268100674, 1.7100466098222096, 1.1970123391784804, 0.7484670972053099, 0.38828473198701735, 0.13484753688859635], 'positive_zeros': ['0.53688727646775178878984435345094', '0.62624570706144068709864117372332', '2.26055892583048259342003969450453', '2.27859775762293972197089846408592', '3.55194764576111035388758874876567', '4.00002256728181171364686269065181', '4.51159413349610679811054862942370', '5.32016729676995239998335383464583', '6.27389069334316184509517122645914', '6.52952453752052166835363067048794', '7.25703396239742252937867622675736', '7.48658467146709452281922416170280', '8.531816145197165378502381217037505', '8.790405544267505999981052644114858', '9.066311200632443772938439629593213', '9.638795621049765180799968260241265', '10.47569540525007078525289469244032', '10.71218291818596138449705124556728', '11.10355986587216814180902079943924', '11.65341764430539733528704565279164'], 'prelabel': '4-162e2-1.1-c7e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.113815722130265, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c7e2-0', 'trace_hash': 794347471652097629, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.53688727646775178878984435345', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.62624570706144068709864117372', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.26055892583048259342003969450', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 2561.0051024264008, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 26244, 'conductor_radical': 6, 'degree': 4, 'dirichlet_coefficients': [1, -8, 0, 0, -210, 0, -1016, 512, 0, 1680, 1092, 0, -1382, 8128, 0, -4096, -29412, 0, -79880, 0, 0, -8736, 68712, 0, 78125, 11056, 0, 0, -102570, 0, -227552, 0, 0, 235296, 213360, 0, 321052, 639040, 0, -107520, 10842, 0, 630748, 0, 0, -549696, 472656, 0, 823543, -625000, 0, 0, 2988036, 0, -229320, -520192, 0, 820560, 2640660, 0, -827702, 1820416, 0, 262144, 290220, 0, 126004, 0, 0, -1706880, 2829456, 0, 1960564, -2568416, 0, 0, -1109472, 0, 3566800, 860160, 0, -86736, 5672892, 0, 6176520, -5045984, 0, 559104, 23902380, 0, 1404112, 0, 0, -3781248, 16774800, 0, -8682146, -6588344, 0, 0], 'euler11': [1, -1092, -18294707, -21279990732, 379749833583241], 'euler13': [1, 1382, -60838593, 86718450494, 3937376385699289], 'euler17': [1, 29412, 1036943782, 12068881050276, 168377826559400929], 'euler19': [1, 79880, 3382947078, 71402474511320, 799006685782884121], 'euler2': [1, 8, 64, 0, 0], 'euler23': [1, -68712, 1316513497, -233952366114264, 11592836324538749809], 'euler29': [1, 102570, -6729271409, 1769319813014130, 297558232675799463481], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, 227552, 24267298593, 6260550366186272, 756943935220796320321], 'euler37': [1, -321052, 215632350942, -30478069017303916, 9012061295995008299689], 'euler41': [1, -10842, -194636724917, -2111525837417802, 37929227194915558802161], 'euler43': [1, -630748, 126024428397, -171449045318518036, 73885357344138503765449], 'euler47': [1, -472656, -283219426127, -239458457625559728, 256666986187667409334369], 'euler5': [1, 210, -34025, 16406250, 6103515625], 'euler53': [1, -2988036, 4581512063998, -3510079175433990132, 1379946262057143768386569], 'euler59': [1, -2640660, 4484433750781, -6571682429902140540, 6193386212891813387462761], 'euler61': [1, 827702, -2457652235217, 2601254530860253742, 9876832533361318095112441], 'euler67': [1, -126004, -6044834597307, -763673905117119292, 36732225162896895721934329], 'euler7': [1, 1016, 208713, 836719688, 678223072849], 'euler71': [1, -2829456, 20191695630766, -25734242302880365296, 82721210695570328927708881], 'euler73': [1, -1960564, 23055749837718, -21659131830194890708, 122045014039746588673695409], 'euler79': [1, -3566800, -6481846746159, -68496502571831921200, 368790120348678391253573281], 'euler83': [1, -5672892, 5045652654037, -153939886570647091284, 736365263311636486061599129], 'euler89': [1, -23902380, 231293612207158, -1057234174580194459020, 1956410986640441413344189841], 'euler97': [1, 8682146, -5418625312797, 701502502388510870498, 6528362774606076144776040769], 'euler_factors': [[1, 8, 64, 0, 0], [1, 0, 0, 0, 0], [1, 210, -34025, 16406250, 6103515625], [1, 1016, 208713, 836719688, 678223072849], [1, -1092, -18294707, -21279990732, 379749833583241], [1, 1382, -60838593, 86718450494, 3937376385699289], [1, 29412, 1036943782, 12068881050276, 168377826559400929], [1, 79880, 3382947078, 71402474511320, 799006685782884121], [1, -68712, 1316513497, -233952366114264, 11592836324538749809], [1, 102570, -6729271409, 1769319813014130, 297558232675799463481], [1, 227552, 24267298593, 6260550366186272, 756943935220796320321], [1, -321052, 215632350942, -30478069017303916, 9012061295995008299689], [1, -10842, -194636724917, -2111525837417802, 37929227194915558802161], [1, -630748, 126024428397, -171449045318518036, 73885357344138503765449], [1, -472656, -283219426127, -239458457625559728, 256666986187667409334369], [1, -2988036, 4581512063998, -3510079175433990132, 1379946262057143768386569], [1, -2640660, 4484433750781, -6571682429902140540, 6193386212891813387462761], [1, 827702, -2457652235217, 2601254530860253742, 9876832533361318095112441], [1, -126004, -6044834597307, -763673905117119292, 36732225162896895721934329], [1, -2829456, 20191695630766, -25734242302880365296, 82721210695570328927708881], [1, -1960564, 23055749837718, -21659131830194890708, 122045014039746588673695409], [1, -3566800, -6481846746159, -68496502571831921200, 368790120348678391253573281], [1, -5672892, 5045652654037, -153939886570647091284, 736365263311636486061599129], [1, -23902380, 231293612207158, -1057234174580194459020, 1956410986640441413344189841], [1, 8682146, -5418625312797, 701502502388510870498, 6528362774606076144776040769]], 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/162/8/c/a'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '4-162e2-1.1-c7e2-0-7', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7, 7], 'order_of_vanishing': 0, 'prelabel': '4-162e2-1.1-c7e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.113815722130265, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c7e2-0', 'trace_hash': 794347471652097629, 'z1': {'__RealLiteral__': 0, 'data': '0.53688727646775178878984435345', 'prec': 103}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': '680585478269244897489949486278,793860746446787206777517071319', 'Lhash_array': ['680585478269244897489949486278', '793860746446787206777517071319'], 'label': '4-162e2-1.1-c7e2-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/162/8/c/a'}