Lfunction data - 12-3e36-1.1-c0e6-0-0

Formats: - HTML - YAML - JSON - 2024-04-25T13:07:07.847278

• lfunc_lfunctions •

  Column	Type
  A10	numeric
  A2	numeric
  A3	numeric
  A4	numeric
  A5	numeric
  A6	numeric
  A7	numeric
  A8	numeric
  A9	numeric
  Lhash	text
  a10	jsonb
  a2	jsonb
  a3	jsonb
  a4	jsonb
  a5	jsonb
  a6	jsonb
  a7	jsonb
  a8	jsonb
  a9	jsonb
  accuracy	smallint
  algebraic	boolean
  analytic_conductor	double precision
  analytic_normalization	numeric
  bad_lfactors	jsonb
  bad_primes	bigint[]
  central_character	text
  coeff_info	jsonb
  coefficient_field	text
  conductor	numeric
  conductor_radical	integer
  conjugate	text
  credit	text
  degree	smallint
  dirichlet_coefficients	jsonb
  euler_factors	jsonb
  euler_factors_factorization	jsonb
  gamma_factors	jsonb
  group	text
  index	smallint
  instance_types	text[]
  instance_urls	text[]
  label	text
  leading_term	text
  load_key	text
  motivic_weight	smallint
  mu_imag	numeric[]
  mu_real	smallint[]
  nu_imag	numeric[]
  nu_real_doubled	smallint[]
  order_of_vanishing	smallint
  origin	text
  plot_delta	numeric
  plot_values	jsonb
  positive_zeros	jsonb
  precision	smallint
  prelabel	text
  primitive	boolean
  rational	boolean
  root_analytic_conductor	double precision
  root_angle	double precision
  root_number	text
  self_dual	boolean
  sign_arg	numeric
  spectral_label	text
  st_group	text
  symmetry_type	text
  trace_hash	bigint
  types	jsonb
  values	jsonb
  z1	numeric
  z2	numeric
  z3	numeric

  
  {'Lhash': '1356473108810856615699167412310,1407594104228956093680267871752,1692064177606266323145994619575,2146345452431518188420607157419,2526375236526895797917774449257,2861090202602302203719342304156', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.00231903827214442, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [1]]], 'bad_primes': [3], 'central_character': '729.1', 'coefficient_field': '1.1.1.1', 'conductor': 150094635296999121, 'conductor_radical': 3, 'degree': 12, 'euler_factors': [[1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], [1, -3, 3, -4, 9, -9, 6, -9, 9, -4, 3, -3, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, -3, 3, -4, 9, -9, 6, -9, 9, -4, 3, -3, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], [1, 6, 21, 50, 90, 126, 141, 126, 90, 50, 21, 6, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1], [1, 6, 21, 50, 90, 126, 141, 126, 90, 50, 21, 6, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1]], 'euler_factors_factorization': [[[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]], [1], [[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, 0, 0, 1, 0, 0, 1], 2]], [[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, 0, 0, 1, 0, 0, 1], 2]], [[[1, -1, 1], 3], [[1, 1, 1], 3]], [[[1, -1], 6], [[1, 1, 1], 3]], [[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, 0, 0, 1, 0, 0, 1], 2]], [[[1, -1], 6], [[1, 1, 1], 3]], [[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, 0, 0, 1, 0, 0, 1], 2]], [[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, -1], 6], [[1, 1], 6]], [[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, 0, 0, 1, 0, 0, 1], 2]], [[[1, 0, 0, 1, 0, 0, 1], 2]], [[[1, -1, 1], 3], [[1, 1, 1], 3]], [[[1, 1, 1], 6]], [[[1, 0, 0, 1, 0, 0, 1], 2]], [[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, -1, 1], 3], [[1, 1, 1], 3]], [[[1, 0, 0, 1, 0, 0, 1], 2]], [[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, 0, 0, 1, 0, 0, 1], 2]], [[[1, -1], 6], [[1, 1], 6]], [[[1, 1, 1], 6]], [[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]]], 'gamma_factors': [[], [0, 0, 0, 0, 0, 0]], 'group': 'GL2', 'index': 0, 'label': '12-3e36-1.1-c0e6-0-0', 'leading_term': '0.70622211149383184348421798030859652215937654332415481394235816710285618907325729649853155', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0, 0, 0, 0, 0, 0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/729/1/f/a', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.01171875', 'prec': 34}, 'plot_values': [0.7062221114938317, 0.7092470175894023, 0.7125778616096334, 0.7166555292419466, 0.7219302662779854, 0.7288668060168553, 0.7379260762409455, 0.7492791953192768, 0.7628549684790757, 0.7785691747863643, 0.7963398402870917, 0.8160847470683825, 0.8377669778205771, 0.8614294760124936, 0.8871404374078419, 0.9149772472160435, 0.9450229957849341, 0.9773568236113602, 1.012022958933498, 1.0490523347797425, 1.088463948821646, 1.130268437539197, 1.174468758700411, 1.2210649191789218, 1.270050891425342, 1.321408842557147, 1.3751070557373306, 1.4310982765452052, 1.489317652121832, 1.549680760395241, 1.6120821718823561, 1.676393230097405, 1.7424588999209598, 1.810099133572053, 1.8791140208456576, 1.9492777994665575, 2.020335990493343, 2.0920043257145644, 2.163968223777239, 2.235890421571496, 2.3074095730184263, 2.378136046914333, 2.4476526078083602, 2.515515523571805, 2.58126219117706, 2.644418425702571, 2.7044927087400876, 2.760978347304185, 2.813356946106866, 2.8611055986658274, 2.9037116091158124, 2.940668642026383, 2.9714787916081624, 2.995658111460365, 3.012743599327814, 3.022311232291955, 3.0239781018368674, 3.017401120992729, 3.002283321525776, 2.9783803169984413, 2.9455153536377194, 2.9035902108479457, 2.8525777023913075, 2.792525559867694, 2.723560811822832, 2.645897630451389, 2.559852342495205, 2.465831935570053, 2.364330254656331, 2.2559276220122197, 2.141290478587904, 2.0211808151481465, 1.8964451897761765, 1.7679994596140363, 1.6368214510783794, 1.5039425951721888, 1.3704456190487995, 1.2374553416204224, 1.106113428021667, 0.9775637641387541, 0.8529381190760815, 0.7333434360256118, 0.6198517814942808, 0.5134733180793886, 0.41513709453598635, 0.32567504831336036, 0.24580685476529152, 0.1761282676811208, 0.1170920402968578, 0.06899154386422994, 0.0319502122328308, 0.005912964692289491, -0.009359939817394946, -0.014298784747906012, -0.009527365872171987, 0.004139505348427746, 0.025701715478626416, 0.05398227032302682, 0.08763767719167129, 0.1251746734329853, 0.16497057915084298, 0.20529646210490535, 0.24434309271661458, 0.2802487889739903, 0.3111328764019601, 0.33513127236024154, 0.3504324292957567, 0.3553142669486492, 0.3481824449574829, 0.3276104266070148, 0.29237717128653734, 0.241502224667824, 0.17427856854973003, 0.09030384067668523, -0.010488066890833498, -0.127807036393447, -0.26099185331610814, -0.4090003033210953, -0.5704048514092508, -0.743389400662459, -0.9257612232399692, -1.1149737872034717, -1.3081544328448123, -1.502138168323412, -1.6935059048525087, -1.878633050064116, -2.0537512722717777, -2.2150119257529894, -2.358555527691153, -2.4805822784260187, -2.5774294722963536, -2.645651111647255, -2.6820953569517783, -2.683981384918115, -2.6489759983432775, -2.5752704799815658, -2.461644506008874, -2.30751704452854, -2.112992616421435, -1.8788981920173051, -1.6068198469256274, -1.2991196436829928, -0.9589180402660767, -0.5900742870495783, -0.19715352333156827, 0.21461587047841676, 0.6393918863613539, 1.0708156341731503, 1.5021096533582399, 1.9261829657755871, 2.3357458999325815, 2.723428115295234, 3.0819257770246993, 3.4041478027775, 3.6833558554264183, 3.9133043365091567, 4.088378791883616, 4.203735765567488, 4.255434154696835, 4.240540391007502, 4.15722090132458, 4.00482261649095, 3.783943876915142, 3.4964650099739027, 3.1455608211149255, 2.735680696646496, 2.272508555531189, 1.762910915061612, 1.2148404538669608, 0.6372115507161774, 0.03976092892987713, -0.5671161796163287, -1.1725423433136217, -1.7653547840939052, -2.334318471922589, -2.8683403905751703, -3.3566919172452065, -3.789228277057609, -4.156611937044594, -4.450506796949849, -4.663758799399854, -4.790562445359566, -4.826612609549971, -4.769239486346967, -4.617481223041861, -4.372117414577731, -4.035684343744214, -3.6124566480417615, -3.108407042652208, -2.5311105971648917, -1.8895887240023177, -1.1941477745653608, -0.45619195152976694, 0.31199248801542623, 1.0974961581769216, 1.8870483928382793, 2.6672761840273718, 3.4249677712544337, 4.147338128587153, 4.82233346706095, 5.438908140746353, 5.987204652583942, 6.4587386375292395, 6.846564228306283, 7.145452506817876, 7.352035649141781, 7.46482952264142, 7.484199335994273, 7.412315689324491, 7.253107204937745, 7.0122229430554475, 6.696815636790981, 6.315350499805357, 5.877354216820074, 5.3931772271005105, 4.873806796774888, 4.330562673848682, 3.774783715019691, 3.2175740947146747, 2.6695278781463556, 2.140519065373372, 1.6394907153222313, 1.1742230786835361, 0.7511881879044991, 0.3754442049483705, 0.05056527679229224, -0.22137915805430405, -0.4398291793458574, -0.6056742555214348, -0.7211505052822152, -0.7897079240180284, -0.8158462474022383, -0.8049234104500386, -0.762937714869858, -0.6962998090165112, -0.6116029279838081, -0.5154025096463767, -0.41399446518588306, -0.3132038575306665, -0.2182064762140156, -0.1333813160416219, -0.062198072013126014, -0.00714051755287888, 0.030337222568568356, 0.049806916102335876, 0.051821265324010816, 0.03783198079827546, 0.010075242525003273, -0.028573272090985022, -0.0747694973499973, -0.12488758420465088, -0.17521455447823345, -0.22214598898591328, -0.26237627375181505, -0.2930756470602146, -0.31203982687357107, -0.3178092340848094, -0.30975403104954247, -0.2881208839719589, -0.2540329123662908, -0.20945031444169304, -0.15707757012591703, -0.10023070056524556, -0.04266813689234525, 0.011614629886160844, 0.05861336879660951, 0.09455749710262971, 0.11616897926754192, 0.12091686865652311, 0.1072579056096245, 0.07484940840213573, 0.02472858512459685, -0.04054985449748841, -0.11682593282533665, -0.1983081959303299, -0.27761403047329114, -0.34587440357921495, -0.392904202393901, -0.4074370382174946, -0.3774267495210233, -0.2903977879929941, -0.13383749573167342, 0.10437553341344012, 0.4355206285704476, 0.869581916831566, 1.414815775445096, 2.077331241158968, 2.8607062960469967, 3.765655027086683, 4.789779474644346, 5.927470281633748, 7.1697991104223, 8.504506226540137, 9.916097671739028, 11.38605577797862, 12.893327447373627, 14.414745742521637, 15.925401439057358, 17.399175148803135, 18.80933479012899, 20.1293901669771, 21.333950591088815, 22.399156028564345, 23.303244198879543, 24.027124320124024, 24.555040645802602, 24.875445404756082, 24.981000570490142, 24.868730550432105, 24.540086735279772, 24.000976151186112, 23.262080836793572, 22.33840239726465, 21.248583929871465, 20.01447313849456, 18.660502524922755, 17.213291835090608, 15.701020077066241, 14.152268978119094, 12.595269040609956, 11.057216657289176, 9.563627935339202, 8.13787394766222, 6.800329712242484, 5.567870685038875, 4.453576296216892, 3.4665640419482546, 2.6119814264109262, 1.8909521167557377, 1.3006982763765003, 0.8348762867054575, 0.48401328832355955, 0.23603416586613257, 0.07681827994288075, -0.009193633526719631, -0.03832687100262384, -0.02700532767622075, 0.008883471886145045, 0.05456815222306037, 0.09691649916417056, 0.12487100890893295, 0.1297762221851874, 0.10558983369919447, 0.048974010994044546, -0.04072833834439037, -0.16163968297297016, -0.30960482438597364, -0.4785418287810059, -0.6608696074379257, -0.8479934784311115, -1.0308308322855377, -1.2003417249488977, -1.3480428373997548, -1.4664842473817679, -1.549668960252192, -1.5933854017577185, -1.5954526037384795, -1.5558418019529332, -1.476685711255613, -1.362176158077059, -1.21834027399386, -1.0527165465497754, -0.873948435299165, -0.6912901988799995, -0.514065775671266, -0.3511049846587833, -0.2101899964755225, -0.09753049227308867, -0.017292031277119185, 0.02880081529651185, 0.04175397797799861, 0.025459675640433093, -0.013273947788324619, -0.06483045862435319, -0.11703440719271546, -0.15554658343814506, -0.16438158957786064, -0.12652637815178655, -0.024647465404922023, 0.1581378746520446, 0.4374692634405461, 0.8269796843068048, 1.3375498617691959, 1.9766236775251804, 2.747615384698396, 3.6494761274899865, 4.676552472322225, 5.81843012592657, 7.05994699333643, 8.381404693530376, 9.758981110860026, 11.165646394772958, 12.571947852887442, 13.946652551420033, 15.257647766960748, 16.47292103263052, 17.561942062336243, 18.49699471048432, 19.25371043676418, 19.81177118174645, 20.155576620796452, 20.274999245222038, 20.166395618538804, 19.83218874684846, 19.280666382730736, 18.5256322108977, 17.585999152394887, 16.48575769830446, 15.25286746380846, 13.917914920986872, 12.513160830383837, 11.071435132863341, 9.625356646300656, 8.206348400427416, 6.843210185207251, 5.561286473052719, 4.381827272921029, 3.3215129052356596, 2.39223494319928, 1.6007104187702523, 0.9485347288618737, 0.432496022615986, 0.045055412451733876, -0.22502111674571532, -0.39198365996744006, -0.47227888091903747, -0.4836431673411458, -0.44419848033590126, -0.3715947874216913, -0.28221855239732513, -0.19048849593296274, -0.10829427394832133, -0.04459950829008249, -0.005220507997704115, 0.007220339368025969, -0.006832973032461982, -0.04417408112047279, -0.09928670297821889, -0.16491606539099996, -0.23272409943916902, -0.29400474011400207, -0.34041225384451024, -0.36465732293571373, -0.3611361881895091, -0.3264578971703869, -0.2598415581580026, -0.16336072155989573, -0.04201011692338631, 0.09640218778707786, 0.24153757174281013, 0.3809794398946637, 0.5008154461661611, 0.5863421826539191, 0.6228466098149035, 0.5964283085509128, 0.49483108356128896, 0.3082013384375718, 0.029763496941485064, -0.3435966164713161, -0.8109253676908634, -1.3669888598067834, -2.0022871622310316, -2.7032375931319708, -3.452543922453448, -4.229741420906021, -5.011962030388, -5.774930762232888, -6.493884203735991, -7.144550506432762, -7.704163421945761, -8.152460195257047, -8.472737777137551, -8.652563131817683, -8.68423953595251, -8.565185000771603, -8.298113510323644, -7.891093991700217, -7.35725012855253, -6.714070753011031, -5.982697166318804, -5.187072939961032, -4.352987824884598, -3.5070080137619777, -2.6752660289332315, -1.8823948309548995, -1.1505640102394765, -0.498623693193137, 0.05868879775138725, 0.5112710045291505, 0.8538825606874688, 1.08617879512846, 1.2125292700779224, 1.2417006667476678, 1.186294092841778, 1.0618643185951337, 0.8860169799216526, 0.6774528005095378, 0.45500732090445284, 0.2367129561218894, 0.03882216001747993, -0.12497223679223593, -0.2441364526922162, -0.3117078032828423, -0.3245181779962722, -0.28320715894299736, -0.19199445931714382, -0.058255957746883184, 0.10806618608657824, 0.2951793315598546, 0.4902631212297979, 0.6803389970498547, 0.8531144944618567, 0.9977673251251584, 1.1056259605577847, 1.1707357578198425, 1.1901856303224279, 1.164230448055932, 1.096210853703642, 0.9922715732839397, 0.8609101326246941, 0.7122932826303254, 0.5574321963751421, 0.4073076755985721, 0.2719695510155546, 0.15967196612046966, 0.07606807327681597, 0.02353144213570291, 0.0006931994203769883, 0.002206616405492006, 0.018762273702238225, 0.03736426678200048, 0.041876985178706354, 0.013825202642636973, -0.06659032302949504, -0.21930698193829537, -0.46311435598614853, -0.8143215701998012, -1.2854417040647352, -1.8839765580948937, -2.6113699770363326, -3.4622583864742564, -4.424054070935002, -5.4767605073731715, -6.593170758551467, -7.739445024104493, -8.876142283153408, -9.959813187924853, -10.944442411594023, -11.783210051244868, -12.430454351327914, -12.84375793145102, -12.986384641353542, -12.829021189089564, -12.351133468623294, -11.542275614703442, -10.40312281322227, -8.94628517622767, -7.196355776999084, -5.189035427589836, -2.970153068032599, -0.5941860385051233, 1.8773300457508453, 4.378048463906842, 6.839403892949332, 9.193062701350703, 11.373453516066123, 13.320434814396682, 14.981803606375871, 16.315231160209827, 17.289488361472653, 17.88546915287475, 18.096857099056507, 17.930929338173886, 17.408097342253605, 16.560099142665702, 15.428451454100575, 14.062626911245689, 12.518206361558656, 10.855158646055374, 9.134441065250089, 7.415334777677361, 5.753216314840273, 4.197601233804465, 2.7907112449172393, 1.5658543964505596, 0.5462444839115663, -0.2553352628282146, -0.8363756575277, -1.2040216291533734, -1.3741476145985891, -1.3701098373283007, -1.2210660437754535, -0.9601143759641464, -0.622368592353977, -0.24305743590472143, 0.14428204855112986, 0.509431423188027, 0.8268456312696303, 1.0766597853514004, 1.2453520515631655, 1.3259889311029238, 1.3180803053063743, 1.2271084364466822, 1.0637128605377084, 0.8426449509577547, 0.5815231535921505, 0.29946912551867205, 0.015766847292086678, -0.2514181777305406, -0.4861969578298754, -0.6759243994526812, -0.8118717704772779, -0.8896049975562672, -0.9090773133930238, -0.8744479146044716, -0.7936290843532964, -0.6775479001237953, -0.5392310841839667, -0.39280501167189213, -0.252455334438606, -0.1314119665279179, -0.04099602284429705, 0.010169080311068283, 0.016724443236299125, -0.0230925022893087, -0.10736841350692111, -0.23069841617179854, -0.38462250584837293, -0.5582658150478685, -0.7391395557698955, -0.914053462456385, -1.0701147871414907, -1.1956762171051116, -1.281159091761215, -1.3197502330488324, -1.3079115231148812, -1.2456908314834576, -1.1367553807216955, -0.9881059802793435, -0.8095798416429317, -0.6131595533167954, -0.4121177701613793, -0.22002363521562715, -0.049694368874722485, 0.08779935177319555, 0.1840327442956275, 0.2339713522680984, 0.2365419834314031, 0.19489526925377457, 0.11636444377451172, 0.012161632517645817, -0.10320147440362537, -0.21273546401678362, -0.29803336177156053, -0.34047242392613675, -0.3224563700910613, -0.22865055953247915, -0.04713671513454018, 0.2295652887742853, 0.6037768719996797, 1.0722167822045579, 1.6258633958440003, 2.250169193245332, 2.9256360858379837, 3.6287313961133183, 4.333021443538898, 5.0104919585494025, 5.633009771970955, 6.173994851916541, 6.609987583137073, 6.921832610575764, 7.095731620413691, 7.124024590297882, 7.0057374322848975, 6.746963152108622, 6.360258908490552, 5.863830060262693, 5.280489409324902, 4.636376556708607, 3.9596418839107144, 3.2787453514335025, 2.6206482327690765, 2.009299299597111, 1.464347895753567, 1.0001777959269846, 0.625231357580885, 0.3416779462056312, 0.1455894899064284, 0.027565276724058667, -0.026251443189089178, -0.03283480211306171, -0.010692359360321462, 0.021884592435317547, 0.04860835387677446, 0.05689277118075088, 0.03933523735342757, -0.005117806856107062, -0.07040746826996969, -0.14308265569267223, -0.2025513658582928, -0.22188823843303446, -0.1691468954682814, -0.00909078406247522, 0.29468124156439085, 0.777325881302961, 1.4702142843975738, 2.3985335398795384, 3.5790165446033395, 5.017913692232087, 6.709396427405399, 8.63458170482265, 10.761632402067079, 13.046250201898086, 15.432464247406264, 17.854246307897363, 20.237797890011564, 22.505336061670317, 24.578952524669567, 26.38299198786555, 27.847235415902105, 28.910068813972043, 29.522037772529526, 29.650353739478447, 29.278914227937722, 28.408643012515526, 27.057730510082894, 25.26131237856654, 23.071924306075992, 20.556764356000798, 17.793367631247005, 14.866327657272357, 11.86389544692054, 8.875124713224135, 5.986315610984832, 3.27631916587466, 0.813355013193738, -1.347315027411866, -3.1649296609418807, -4.614102818613596, -5.685662858590255, -6.386219791083577, -6.736751541687802, -6.7705881104981716, -6.531031595267382, -6.0686259657935935, -5.438112382650129, -4.695402218531157, -3.894583789271096, -3.0853574873163825, -2.310879212060883, -1.6060453390814795, -0.9964738746006913, -0.49811610797909495, -0.11745095791530454, 0.14774299420833464, 0.3071205448572155, 0.3761140853816692, 0.37404948974772667, 0.32217749352627045, 0.24175233889235118, 0.1522651084281059, 0.06998351989622152, 0.006899824495180745, -0.02986870236918652, -0.03820121595634637, -0.02062163754110783, 0.016485780289303913, 0.0640168111651008, 0.11154092159180806, 0.14883536015207507, 0.16743776445761635, 0.1620614256540582, 0.13177180987925194, 0.08082475194368943, 0.019083969912487325, -0.03803981112345395, -0.07013791745396245, -0.052806181452901876, 0.04093957199111903, 0.23890867182628, 0.5677652356911145, 1.0510275126548083, 1.7071282673040813, 2.547597782446235, 3.5755259566144852, 4.784502780310727, 6.158364720929933, 7.671201863139723, 9.288041463570432, 10.965853565769256, 12.655143656554287, 14.302737391372043, 15.854171810704276, 17.25589864752309, 18.45813450702127, 19.416945564347703, 20.097009526790824, 20.47389414714883, 20.534239612291056, 20.276407903228286, 19.710944463099707, 18.859878639864924, 17.756386017074124, 16.441965139558867, 14.964033604870526, 13.373789275046473, 11.724181995794543, 10.06766352863013, 8.453231062505196, 6.923934875742974, 5.515385988597714, 4.254792398519475, 3.1606651805585817, 2.242413632317495, 1.5004216157897654, 0.9270555445646917, 0.5080458889702395, 0.22412052096450696, 0.05272554756685605, -0.030349702915865237, -0.049248841767713596, -0.026509729414203317, 0.01816513164905692, 0.06876999187985716, 0.11346857499153667, 0.14472552785713677, 0.15906545116471166, 0.15651130480158468, 0.13978532917200026, 0.11336964587407516, 0.08252759400895623, 0.0523818220548879, 0.02712803621302007, 0.009467099369713305, 0.00031283061199086575, -0.0011968626643585228, 0.002605139450604992, 0.00848793661004038, 0.013108869107423343, 0.01393416844192655, 0.01019475365629428, 0.0037790950467454214, -3.720911835363919e-05, 0.007876885135927752, 0.040637328600071465, 0.11510168790417805, 0.25122225105215834, 0.4709912232096615, 0.7970107907458297, 1.250797089384387, 1.8510866993851358, 2.611961975315412, 3.5410100579651655, 4.637690826804075, 5.892082816442427, 7.284734447746885, 8.786675179800778, 10.359570249045314, 11.956712946071152, 13.524633598561431, 15.006206883362768, 16.344188647109785, 17.48307179647452, 18.371854877411494, 18.966866595727897, 19.234964741112996, 19.157580529599826, 18.730638215675903, 17.964678231418898, 16.884801148682214, 15.530010272339661, 13.953066619167554, 12.217191606402313, 10.39174931592215, 8.548755432850719, 6.759263880985614, 5.090192861425347, 3.6006709148887954, 2.337977697139526, 1.3351057004158946, 0.6092396913484778, 0.1611382790180656, -0.02467294482787892, 0.02107452545784852, 0.2545871040477702, 0.6220042200858072, 1.0629399183266799, 1.514357213009697, 1.9146716703651343, 2.207754566898867, 2.3465323904978383, 2.2959615696742164, 2.0352818437721245, 1.559355296545716, 0.8788660577316786, 0.019557048063105778, -0.9794895758513189, -2.0684423969950574, -3.1900844960918704, -4.283617688137338, -5.288610653238025, -6.148918114450581, -6.8163778826577515, -7.254243433452348, -7.439503292047502, -7.36414391350957, -7.035634386275722, -6.476452445916666, -5.722865453295007, -4.82256119038891, -3.831184771167493, -2.8087641399144867, -1.8159212404304073, -0.9100832535471031, -0.14185027612848786, 0.4482860378300417, 0.8323283183488294, 0.9963038798675085, 0.940901430476508, 0.6811880117184502, 0.24525590844720255, -0.3279762487301842, -0.9915659491734458, -1.6938072254770002, -2.381883238919478, -3.0056385844489264, -3.520792037322579, -3.8917282509681668, -4.093671496234163, -4.114222574708788, -3.9542905749987485, -3.6273479071125, -3.1580097379112853, -2.580064383966391, -1.9339446481206877, -1.2639741886080642, -0.6148909214442357, -0.028446665932591618, 0.4594427083913886, 0.8210455452418954, 1.0385721654657334, 1.1053040182366072, 1.0258751301087938, 0.8155854919376421, 0.4988782358607203, 0.10734088816863648, -0.322809772528467, -0.7536342646171789, -1.1484360451121258, -1.4746231492381205, -1.7063062047765283, -1.8262184992507988, -1.826994693034806, -1.7116604402761408, -1.4933840243964858, -1.1944985814601414, -0.8448836796337339, -0.47960200604249187, -0.13613256204598814, 0.1484634561348515, 0.3403490819590502, 0.4115153361864716, 0.34202520386082036, 0.12162116093315642, -0.24939794346000452, -0.7600293739225026, -1.3891566376825348, -2.106912701296831, -2.876744332198893, -3.6578385135676816, -4.407804856775156, -5.085453771841012, -5.65362849768246, -6.081784483285656, -6.347892843213373, -6.439634934864728, -6.3549762979267905, -6.102159817520743, -5.699134092691554, -5.171860970791617, -4.552376981973549, -3.876354554621194, -3.180576778603039, -2.500524280582125, -1.8679047387426495, -1.3086085168247918, -0.8412714874815982, -0.4763531218051259, -0.21588740461822448, -0.053869785213659205, 0.022734126222937794, 0.0324629963907533, -0.002524960856884362, -0.05855069815980184, -0.11256994457099162, -0.14419230841144515, -0.13739900725065995, -0.0818475832011557, 0.026335041416727597, 0.18437764979833351, 0.3832793320501491, 0.6087132930369972, 0.8423716631779895, 1.0636487096663079, 1.251648170708179, 1.3871992156646906, 1.4544911566987888, 1.4425136006555186, 1.3461218289038717, 1.1666957361975039, 0.9123508758981644, 0.597155769296264, 0.24002293007202474, -0.13671534338114233, -0.5090035550617299, -0.8529145280494241, -1.1466764560062233, -1.3724169311467478, -1.5174985043651856, -1.5754359117811287, -1.546377995475142, -1.4370606464872837, -1.260085753448233, -1.0326936018716515, -0.7752022369031397, -0.5092365230456328, -0.25585657315819993, -0.03365969905800472, 0.14282175921425322, 0.2643227757754256, 0.32754031708235004, 0.3352993899950109, 0.29610485164203143, 0.22310902855928524, 0.13262504443347695, 0.04229140461153719, -0.0309307681675115, -0.07277433050773868, -0.07346849231077449, -0.029125382730829222, 0.05742906902606457, 0.17650010918033646, 0.31210818203048, 0.4433606507003399, 0.5464984263389453, 0.597503416611796, 0.5751070401606764, 0.46395696762448974, 0.25765652965587016, -0.0385864306261243, -0.405923775674372, -0.810683315487298, -1.2042839781828594, -1.5243413185000159, -1.6968811958332366, -1.639690955479455, -1.2666915672617265, -0.49314430932145914, 0.7587017281903164, 2.5540169581852283, 4.9398754587562035, 7.940219576935045, 11.551730704732492, 15.741800383090927, 20.44820567957963, 25.579103344212847, 31.01486379524398, 36.61160539601292, 42.207750890349836, 47.63257729846674, 52.713292800050255, 57.28144362602214, 61.18005918764578, 64.27198135982201, 66.4501005606819, 67.64027079195634, 67.80528042626838, 66.94464257854614, 65.09425549240494, 62.328199146479186, 58.753263159433466, 54.50147846554525, 49.724896108787, 44.58652564906456, 39.254094599114126, 33.892840257509555, 28.65566507388058, 23.677409462947473, 19.070769444495323, 14.922281132239792, 11.29102995283733, 8.207274724813901, 5.673952546830465, 3.66989347264902, 2.1539641624952948, 1.0696301725492476, 0.3499545591811712, -0.07707078135905254, -0.2834056502840912, -0.336548552796982, -0.29606305722650655, -0.21105382808157352, -0.11868654812234809, -0.04386856087368818, 3.6009610718500064e-05, 0.009643968426724193, -0.0106103777422958, -0.05101225630223007, -0.09924108143305813, -0.14288940740629794, -0.1715927020066621, -0.17858627445890166, -0.16158500971129294, -0.12295938721850688, -0.06919878696164622, -0.009757780410358958, 0.04456793080339673, 0.08352444364193479, 0.09931662583040313, 0.08837492226535697, 0.05275798725362634, 0.001006977411459724, -0.051689657741334806, -0.0840199906057252, -0.0697689827136741, 0.02030991434179419, 0.2160950467102517, 0.5454347677496502, 1.0314700405866495, 1.690022904570926, 2.527315344400286, 3.5382108326677835, 4.705529409053044, 6.000474034019061, 7.383196436097335, 8.804369092283551, 10.207601620271761, 11.532747884825158, 12.72071600516716, 13.716257815031879, 14.470946774448997, 14.946200169705035, 15.1160380452166, 14.970288338385204, 14.514706463777015, 13.769534405206926, 12.768249809380503, 11.555631994496352, 10.186023623673451, 8.720024082406907, 7.2194082220163915, 5.743519384211068, 4.346096180634974, 3.072752219033605, 1.9591272792764443, 1.028688569684491, 0.29223755044730987, -0.25149104519275534, -0.6144715239830627, -0.8174282793108452, -0.8875668059332545, -0.8558509103958207, -0.7541845216127254, -0.6128332122495262, -0.4582876323071609, -0.3116672032893845, -0.1877294941610828, -0.09460600502464615, -0.03423664786217739, -0.003394080029194129, 0.004855720933667206, -0.0005607114757553778, -0.010504484977943204, -0.017253020418955607, -0.015781472958489307, -0.00453887638102592, 0.014383276226092513, 0.0357254365600277, 0.052157364720524076, 0.05590712882009964, 0.040768805738961, 0.004271111860032021, -0.05022974313588333, -0.11175053451949117, -0.16041211934798622, -0.16692799147068768, -0.09298848230336124, 0.1074400935241127, 0.4858668555153492, 1.096134749605073, 1.9905476682655132, 3.2157804219875974, 4.808668286108466, 6.7919354909856455, 9.170388203775058, 11.927864767698305, 15.026189110137663, 18.405823762586827, 21.98610973385423, 25.667368706356392, 29.33437877893514, 32.86203174076716, 36.12466383169845, 39.00034707264428, 41.37614448939077, 43.15396892357228, 44.256276216774815, 44.63469728959188, 44.272160528483454, 43.180890136470325, 41.4016922859835, 39.002016861892635, 36.074944956251386, 32.735223383175914, 29.109596452607484, 25.32954300817004, 21.52468789987181, 17.817236803600476, 14.317531467985186, 11.116864994993923, 8.28372834549483, 5.862031110450836, 3.8710854029447552, 2.3072799247538156, 1.1461112888979104, 0.34573711577287636, -0.14824625886241516, -0.39766901867926113, -0.4666460959218234, -0.41682902933478916, -0.30325088324732996, -0.17108023783543216, -0.05351319198096444, 0.02913453464116322, 0.06915467726794855, 0.07007217109570002, 0.04438219241001962, 0.010668475598576236, -0.00960651995776913, 0.004659540004365256, 0.07125204408950123, 0.20224494286628986, 0.4023433176289088, 0.6680809484546504, 0.9879669749882147, 1.343546422466966, 1.7111151377489853, 2.0639716574019533, 2.3749813334276655, 2.6192748333318416, 2.7769220490627777, 2.8347308560035707, 2.787479240577032, 2.638466486275999, 2.399290353247953, 2.0889843372301735, 1.7320855305468479, 1.3561817044156939, 0.9893444403435846, 0.6575123561539806, 0.3820699858945642, 0.17775946776262586, 0.05124868643838979, 0.000587923924455212, 0.015470243572560322, 0.07829237162058501, 0.165987664140111, 0.2524597371167167, 0.311337162232692, 0.318769019628199, 0.256049834400215, 0.11191507720420305, -0.11594734735669993, -0.42030011069156076, -0.7846459374941986, -1.1844138197871537, -1.5889722685476706, -1.964446370899469, -2.2769418683118174, -2.4958634664370023, -2.5971110641820254, -2.565778599108812, -2.398324918655911, -2.103412517734706, -1.7016862093140461, -1.2244955274871228, -0.711560090862599, -0.20772061631642194, 0.24123091107453506, 0.5930208687107279, 0.8132027829402813, 0.8790666911943236, 0.7828691623024326, 0.5339707990192294, 0.15944564238867287, -0.29677112379999493, -0.7762066035470633, -1.2095405425428107, -1.5215112027692252, -1.6367959983705027, -1.486192961947362, -1.0127200175745044, -0.1771940291820356, 1.0372304282852238, 2.6219928932947014, 4.541795907968409, 6.73512657564625, 9.116683560804402, 11.581992576810505, 14.0137901834466, 16.28907186429594, 18.28682396736185, 19.895961675835146, 21.02326221135893, 21.601018312242143, 21.591315854164755, 20.98919087575626, 19.823567480539207, 18.156147247173905, 16.07873042216636, 13.707037533605133, 11.172970709709457, 8.616446297582309, 6.176595861469388, 3.9829824640039657, 2.1471111403284753, 0.7552056837841373, -0.13701635273664625, -0.5075718898406705, -0.3690352237466563, 0.23301058168151592, 1.2236945956524854, 2.5042962777256714, 3.9591496972290297, 5.463784751573025, 6.8941481292294755, 8.134823861088782, 9.085821787797167, 9.668550105339271, 9.830399449341403, 9.54850640452952, 8.830349089267447, 7.710793673215108, 6.248663894195809, 4.5220901009839425, 2.6230956970020984, 0.6515328555222271, -1.2929425314507188, -3.1173563400719244, -4.740727435431744, -6.09831089966899, -7.145111016379108, -7.8575855238378285, -8.232932038700175, -8.287256540121348, -8.05275547784901, -7.57415950034281, -6.90523262429814, -6.1048528946249085, -5.2322128746544845, -4.342600425063716, -3.483837394978409, -2.692972001048631, -1.9952978855167993, -1.4051777794328901, -0.9272996565928465], 'positive_zeros': ['1.07006860452449239445642996378861', '1.11039595924581354552842731451743', '1.33480327883852614411324441832450', '1.69316801652212957212058389029506', '1.99295865601455482815840469047265', '2.25700220714382018263247780752286', '2.63873397899260259435274010216036', '2.83779643984027513884424658111874', '2.89788122762755178437030296667247', '3.09113650625619699444370032891626', '3.18051263007431464899492891316708', '3.30006905457313040992511890377545', '3.91224601865939168016083475387137', '3.94674040639275022643603232554036', '4.02644344698241976310623600268350', '4.31598678520314317107371364768316', '4.35590957197330934294767898556211', '4.43165924689846831773873829699237', '4.94697130196106096515591567895195', '5.07687980756451806703374478907139', '5.09415604745961991801379207341228', '5.24195622390657075321901953825418', '5.35652577258407168235496086842100', '5.70568743806275732140333888411160', '5.85019789089647864158040672937765', '5.93401766614052221110924209146395', '6.17674542936378892659000986286551', '6.18459059752901128062402174738765', '6.23719818021986058979909876667836', '6.56534628716596759399055173242719', '6.86308725391844403851833280349607', '6.96825860106344992526775285724911', '7.11394626090521797256455779442689', '7.28573264236949235459241875762676', '7.30737169988048788687182442307682', '7.53903975070523437509804967260489', '7.61844874421815765798444582041986', '7.70154228999914851549681228472635', '8.067035090547322127561812305636109', '8.101609764971049034820272105991761', '8.155167486862324897178058857488025', '8.227028236707561573164472820855011', '8.617491104520097752111525305875169', '8.828817228807071538831774871302826', '8.931345010869466592611469397163512', '8.971923348024065487993301955183226', '9.073948767431028297492851602817496', '9.113337325184312229164128218011419', '9.592040930190111692214303436407174', '9.628431917967447331825562623593114', '9.774200664428923961296131134324207', '9.790311770213936977107662274657011', '9.865997572810064271723386070306341', '9.867949724504038678540004354345441', '10.33287933140796572523264980336764', '10.34579652374747927590146967108827', '10.48852580581089681161920607294248', '10.71343475221318595804443231017521', '10.78655664230508858058466287167261', '11.07719868254123728156780357590323'], 'prelabel': '12-3e36-1.1-c0e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.6031736020495748, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c0e6-0', 'trace_hash': 587566806592995786, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.07006860452449239445642996379', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.11039595924581354552842731452', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.33480327883852614411324441832', 'prec': 103}}
• lfunc_search •

  Column	Type
  algebraic	boolean
  analytic_conductor	double precision
  bad_primes	bigint[]
  central_character	text
  conductor	numeric
  conductor_radical	bigint
  degree	smallint
  dirichlet_coefficients	numeric[]
  euler11	numeric[]
  euler13	numeric[]
  euler17	numeric[]
  euler19	numeric[]
  euler2	numeric[]
  euler23	numeric[]
  euler29	numeric[]
  euler3	numeric[]
  euler31	numeric[]
  euler37	numeric[]
  euler41	numeric[]
  euler43	numeric[]
  euler47	numeric[]
  euler5	numeric[]
  euler53	numeric[]
  euler59	numeric[]
  euler61	numeric[]
  euler67	numeric[]
  euler7	numeric[]
  euler71	numeric[]
  euler73	numeric[]
  euler79	numeric[]
  euler83	numeric[]
  euler89	numeric[]
  euler97	numeric[]
  euler_factors	numeric[]
  index	smallint
  instance_types	text[]
  instance_urls	text[]
  is_instance_Artin	boolean
  is_instance_BMF	boolean
  is_instance_CMF	boolean
  is_instance_DIR	boolean
  is_instance_ECNF	boolean
  is_instance_ECQ	boolean
  is_instance_G2Q	boolean
  is_instance_HMF	boolean
  is_instance_MaassGL3	boolean
  is_instance_MaassGL4	boolean
  is_instance_MaassGSp4	boolean
  is_instance_NF	boolean
  label	text
  motivic_weight	smallint
  mu_imag	numeric[]
  mu_real	smallint[]
  nu_imag	numeric[]
  nu_real_doubled	smallint[]
  order_of_vanishing	smallint
  prelabel	text
  primitive	boolean
  rational	boolean
  root_analytic_conductor	double precision
  root_angle	double precision
  self_dual	boolean
  spectral_label	text
  trace_hash	bigint
  z1	numeric

  
  {'algebraic': True, 'analytic_conductor': 0.00231903827214442, 'bad_primes': [3], 'central_character': '1.1', 'conductor': 150094635296999121, 'conductor_radical': 3, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler13': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler17': [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], 'euler19': [1, -3, 3, -4, 9, -9, 6, -9, 9, -4, 3, -3, 1], 'euler2': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler23': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler29': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler37': [1, -3, 3, -4, 9, -9, 6, -9, 9, -4, 3, -3, 1], 'euler41': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler43': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler47': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler5': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler53': [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1], 'euler59': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler61': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler67': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler7': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler71': [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], 'euler73': [1, 6, 21, 50, 90, 126, 141, 126, 90, 50, 21, 6, 1], 'euler79': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler83': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler89': [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], 'euler97': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler_factors': [[1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], [1, -3, 3, -4, 9, -9, 6, -9, 9, -4, 3, -3, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, -3, 3, -4, 9, -9, 6, -9, 9, -4, 3, -3, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], [1, 6, 21, 50, 90, 126, 141, 126, 90, 50, 21, 6, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1]], 'index': 0, 'instance_types': ['CMF', 'Artin'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/729/1/f/a', 'ArtinRepresentation/2.729.18t16.a'], 'is_instance_Artin': True, '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': '12-3e36-1.1-c0e6-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0, 0, 0, 0, 0, 0], 'order_of_vanishing': 0, 'prelabel': '12-3e36-1.1-c0e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.6031736020495748, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e6-0', 'trace_hash': 587566806592995786, 'z1': {'__RealLiteral__': 0, 'data': '1.07006860452449239445642996379', 'prec': 103}}
• lfunc_instances •

  Column	Type
  Lhash	text
  Lhash_array	text[]
  label	text
  type	text
  url	text

  
  
  • id: 24603601
    {'Lhash': '1356473108810856615699167412310,1407594104228956093680267871752,1692064177606266323145994619575,2146345452431518188420607157419,2526375236526895797917774449257,2861090202602302203719342304156', 'Lhash_array': ['1356473108810856615699167412310', '1407594104228956093680267871752', '1692064177606266323145994619575', '2146345452431518188420607157419', '2526375236526895797917774449257', '2861090202602302203719342304156'], 'label': '12-3e36-1.1-c0e6-0-0', 'type': 'Artin', 'url': 'ArtinRepresentation/2.729.18t16.a'}
  • id: 19802669
    {'Lhash': '1356473108810856615699167412310,1407594104228956093680267871752,1692064177606266323145994619575,2146345452431518188420607157419,2526375236526895797917774449257,2861090202602302203719342304156', 'Lhash_array': ['1356473108810856615699167412310', '1407594104228956093680267871752', '1692064177606266323145994619575', '2146345452431518188420607157419', '2526375236526895797917774449257', '2861090202602302203719342304156'], 'label': '12-3e36-1.1-c0e6-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/729/1/f/a'}