Lfunction data - 12-228e6-1.1-c0e6-0-0

Formats: - HTML - YAML - JSON - 2024-05-19T14:36:47.141269

• 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': '1913933755602662217638816918760,2312998992864457255405467811208,2888647033209581040635665301494,2964808200906522497067461551592,3241375504974663363427642844040,3498914926268855851767760198800', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.1704602080764133e-06, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 0, 0, 1, 0, 0, 1]], [19, [1, 3, 6, 7, 6, 3, 1]]], 'bad_primes': [2, 3, 19], 'central_character': '228.1', 'coefficient_field': '1.1.1.1', 'conductor': 140478247931904, 'conductor_radical': 114, 'degree': 12, 'euler_factors': [[1], [1, 0, 0, 1, 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, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 3, 6, 7, 6, 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, 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, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 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, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, -6, 15, -19, 9, 9, -18, 9, 9, -19, 15, -6, 1], [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], [1, -6, 15, -19, 9, 9, -18, 9, 9, -19, 15, -6, 1], [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 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, 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, 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]], 'euler_factors_factorization': [[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, 1], 3], [[1, 1, 1], 3]], [[[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, 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, 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, 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], 1]], [[[1, 0, 0, -1, 0, 0, 1], 1], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, -1], 6], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[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, 1, 1], 3], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, -1], 6], [[1, 0, 0, 1, 0, 0, 1], 1]], [[[1, -1, 1], 3], [[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, 0, 0, 1, 0, 0, 1], 2]], [[[1, -1, 1], 3], [[1, 1, 1], 3]], [[[1, 0, 0, 1, 0, 0, 1], 2]], [[[1, -1], 6], [[1, 1], 6]]], 'gamma_factors': [[], [0, 0, 0, 0, 0, 0]], 'group': 'GL2', 'index': 0, 'label': '12-228e6-1.1-c0e6-0-0', 'leading_term': '0.126627444642372209936894671663311725952055907213343137898963001875315519558849078122548726', '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/228/1/s/a', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.012369791666666666', 'prec': 67}, 'plot_values': [0.1266274446423722, 0.12743408106260584, 0.1283333806822846, 0.1294224226052622, 0.13080145366914894, 0.1325753952178116, 0.13485601972160682, 0.13774210155409958, 0.14125092518601323, 0.14538163354537065, 0.1501364203687383, 0.15551970462036158, 0.16153731808789593, 0.1682020070507377, 0.17555338914691815, 0.18364190672717212, 0.19252326182557114, 0.20225879973874383, 0.2129159275849539, 0.22456591282232768, 0.2372754090069753, 0.25111294121391237, 0.2661512787886417, 0.282467341608459, 0.30014206872471455, 0.3192611527998942, 0.33991794102613676, 0.36221121301215675, 0.3862442320034102, 0.4121245671320219, 0.4399638614251653, 0.4698775740953438, 0.5019847475910244, 0.5364075218323747, 0.5732706149287589, 0.612700753667701, 0.654826019941543, 0.6997757620579074, 0.7476820265767474, 0.7986772619394994, 0.8528928388044309, 0.9104580609706538, 0.9714990825573073, 1.0361382821138774, 1.1044948983886445, 1.176682495141787, 1.2528071059745438, 1.3329657871316993, 1.4172450893147623, 1.5057200076864738, 1.598454213000797, 1.6954971101513927, 1.7968816259808724, 1.9026224512768806, 2.012714250215289, 2.1271302464478863, 2.245821765415359, 2.368715548777446, 2.495711656233305, 2.6266817645880476, 2.761467524682382, 2.8998792581725157, 3.0416953942282583, 3.1866605484544857, 3.334484107688303, 3.484839211441395, 3.637361917130434, 3.791650781197326, 3.9472671927089165, 4.103734795419064, 4.260539461556945, 4.417129746216943, 4.572917658226177, 4.7272801256609664, 4.879561682207224, 5.029075496675528, 5.175105292844821, 5.31690798509351, 5.453716715627145, 5.584745095028928, 5.7091936755690975, 5.826252230511088, 5.935103677506421, 6.034929124341116, 6.124913284067194, 6.204251794708393, 6.272162263618902, 6.327886467636616, 6.3706954415731785, 6.3998962516105316, 6.414838931533801, 6.4149260985029395, 6.399627994746079, 6.368482215130073, 6.32109802791781, 6.257163040524661, 6.176449645450211, 6.078824819152807, 5.964266816814952, 5.832859356003484, 5.6847923953128765, 5.520365930862035, 5.339993107044723, 5.144207073667028, 4.933675479700827, 4.709186391863299, 4.471642800436461, 4.222060737436338, 3.9615663546561994, 3.691396748787915, 3.4129080580555105, 3.1275522806980396, 2.836864243108197, 2.542452612483668, 2.245989870015757, 1.9492056412710626, 1.6538857501939208, 1.3618424885911118, 1.0748957031976194, 0.7948581140515918, 0.523520121418674, 0.2626373026223658, 0.013921213928732063, -0.22099038632193954, -0.440553124351225, -0.64333152889054, -0.828014052672647, -0.9934261928310425, -1.1385429661014064, -1.2625095407870965, -1.3646538028495616, -1.4444955013561527, -1.5017537688726772, -1.5363535526212586, -1.5484335902490938, -1.5383493899640788, -1.5066716316236095, -1.4541824075525351, -1.3818691949507773, -1.290918593081961, -1.182712833819875, -1.0588118601170209, -0.920935109269907, -0.7709430097333713, -0.6108166338406571, -0.4426380975966449, -0.26857393347489894, -0.09084185300667007, 0.0883186885188649, 0.26667400897401816, 0.44202390881083886, 0.6122275379160226, 0.7752268038713231, 0.9290806092324254, 1.0719925896305602, 1.2023350520292009, 1.318670798140556, 1.4197721966756787, 1.50463861340511, 1.5725139545620004, 1.6228974694220737, 1.6555500948665256, 1.6704969638588598, 1.6680270419135166, 1.648692074338435, 1.613295692544368, 1.5628783767071055, 1.4986992567500756, 1.42221427615824, 1.3350527556380725, 1.238994544415601, 1.1359335889285143, 1.0278420806109607, 0.9167346744453614, 0.8046316979599009, 0.6935234815747117, 0.5853371033698496, 0.481893845775256, 0.38487223390402575, 0.29577514620404255, 0.21589993878906683, 0.14631290109365735, 0.08782818433535762, 0.0409863347196869, 0.00604129320948053, -0.01704586811666112, -0.028607208986578137, -0.029262038110219768, -0.019905475035366434, -0.0016908232955491873, 0.023995473013182, 0.05556489385406819, 0.0912633174971029, 0.1292121898730286, 0.16745370998892828, 0.20400092257309818, 0.23689020145000708, 0.26423512051443987, 0.2842808315591451, 0.29545804057229763, 0.29643609035156004, 0.2861724615965374, 0.2639578917385013, 0.2294562681979881, 0.1827381556300878, 0.12430735157374863, 0.055119907903753734, -0.02340846814326239, -0.10940421791790024, -0.20054759847061782, -0.2940948478098262, -0.3869110746716195, -0.4755146841412505, -0.5561318550683798, -0.6247598822332707, -0.6772392033425331, -0.709333150119105, -0.71681523175498, -0.6955639926318011, -0.6416554084240345, -0.5514579335589379, -0.4217282712066046, -0.24970513954963236, -0.03319952539890632, 0.22932223111515254, 0.5386685886766738, 0.8948600445805525, 1.2970771050327672, 1.7436214066420563, 2.231895286857528, 2.75841131407121, 3.318801461812535, 3.907842961717022, 4.519503856135607, 5.147005850148249, 5.782917217052558, 6.419298208470775, 7.047790939571636, 7.6597335180151935, 8.24629586942919, 8.7986247714891, 9.30802132590031, 9.766183452482508, 10.165302357104565, 10.498190716844697, 10.758428535018712, 10.940501175372978, 11.039963068347816, 11.053663759286403, 10.979737940444442, 10.817638862127612, 10.568185893820017, 10.233589866576937, 9.817494900427546, 9.325067906280957, 8.762812442943709, 8.138443568670315, 7.4607809584200995, 6.739620369914394, 5.985618503167896, 5.210208416494288, 4.425281858789208, 3.6429507188852472, 2.875339151241454, 2.134372337135738, 1.4315844743159258, 0.7779465142618481, 0.183572012660028, -0.34249146798355057, -0.7924284430002027, -1.1598005488257344, -1.4396642341128634, -1.6286719311904083, -1.725173407966829, -1.7292480668778822, -1.6426965780263547, -1.4690002036701801, -1.213253942880695, -0.8820852090082999, -0.4835081907848709, -0.026748160401618273, 0.4779533450153074, 1.0195520556969533, 1.586424383576359, 2.1665977107032792, 2.748022560917512, 3.3188302516353176, 3.867577920177282, 4.383481553496128, 4.856635395720687, 5.278226648134869, 5.640714299724044, 5.937968782332096, 6.165378339895185, 6.319919608585121, 6.400201971467734, 6.406502193436865, 6.340699429032751, 6.206182456614892, 6.007731275989078, 5.751367520295072, 5.444190311491373, 5.094213502110075, 4.710104848089213, 4.300936823766748, 3.8759444665848717, 3.444283833132679, 3.0148059756244647, 2.595855426506556, 2.195028809345021, 1.8189826550407933, 1.4732807697547812, 1.1622749139172235, 0.8890250526983593, 0.6552598001420767, 0.4613538335830174, 0.30635995999448784, 0.18808475445623568, 0.10320090563836579, 0.04739334671517729, 0.01553402223404091, 0.0018789016823267898, 0.000287307697411811, 0.004453984262559929, 0.008146304464356357, 0.005439512968385715, -0.009057475978677496, -0.03999186633376825, -0.09107919792451877, -0.16494413230600563, -0.2629949574785097, -0.3853375117113429, -0.5307356770395528, -0.6966095710376575, -0.8790775356444994, -1.0730425494269866, -1.2723206721943638, -1.4698136285952734, -1.6577290632936188, -1.8278017221418275, -1.9715416458742292, -2.0805023481824096, -2.1465576315135326, -2.162185794292122, -2.1207551699264546, -2.0167472148975674, -1.8459707296923347, -1.605752996060873, -1.295094587278426, -0.9147812725115505, -0.4674299144193065, 0.0425257216898031, 0.6088804086188939, 1.2237492459615873, 1.877707239956421, 2.559995295200652, 3.2588363067728996, 3.9616806578367085, 4.655480930594579, 5.32699985267874, 5.963129579951166, 6.551260238663193, 7.0797561244370755, 7.538150243126637, 7.9173655712975375, 8.209943843993637, 8.410236172113745, 8.514611974034615, 8.521744110460657, 8.432460544169594, 8.24965176614404, 7.978187106486539, 7.624782054000396, 7.197878287898547, 6.707576720889634, 6.165158419724179, 5.582719711569111, 4.972854484448946, 4.348329223054206, 3.721797677564151, 3.105569032816465, 2.5111385648509663, 1.9488738555008231, 1.4277862698275459, 0.9553465290948481, 0.5373633722350752, 0.17791719684490495, -0.12075526475607352, -0.3582455043873854, -0.5358829273842575, -0.6565960746874896, -0.7247305171668257, -0.7458396087057412, -0.7264486928313687, -0.673775448334979, -0.5954374831735463, -0.4991608652030063, -0.3925016201183954, -0.28259062281988107, -0.17588750706508735, -0.07797459687099705, 0.006602466271886382, 0.07444544955369434, 0.12336276307081659, 0.15237831618171907, 0.1616925095389927, 0.15258956130850088, 0.1272997589940071, 0.08882451211215654, 0.04073266623169681, -0.01306324843738255, -0.06854351356296573, -0.12181593184439762, -0.1693379239079241, -0.20811594919566326, -0.23587356357529518, -0.2511814904810984, -0.2535350724089993, -0.24337827316190283, -0.222072061541626, -0.19180603298844698, -0.15545574822889985, -0.11638959086089391, -0.07822535689268859, -0.04455353100195453, -0.018636528950581, -0.0030950635968051677, 0.0004052028798720839, -0.008547153071404754, -0.02883979954202353, -0.057610679979997984, -0.09007773323570671, -0.11943581787010771, -0.13683113450347822, -0.13142134501139444, -0.09052043579283417, 0.00016730822186975116, 0.15622501939794536, 0.3941174416603866, 0.7307138493878127, 1.1827700675059083, 1.7663525951757681, 2.496226871794417, 3.385232603109309, 4.443663355180328, 5.6787063936841, 7.094052353544928, 8.689411177993062, 10.460119895840668, 12.396872776672444, 14.485563843355598, 16.707364680610738, 19.0392526594154, 21.454086151588616, 23.920895186837413, 26.40538158693118, 28.870533106503984, 31.27756224830894, 33.587478222059424, 35.761454966635625, 37.7615047186304, 39.55135697720832, 41.097327318605565, 42.36947478761584, 43.34339151018647, 43.99997400515356, 44.32561099132904, 44.312555450722456, 43.95916582825428, 43.27036277770801, 42.25859750509841, 40.94245448803905, 39.345847360083035, 37.49745513313173, 35.43005108370875, 33.18004086180848, 30.7873925093338, 28.29358432987548, 25.740312424426847, 23.168549158417967, 20.617645028238144, 18.12468499846442, 15.724154725703446, 13.446467024226655, 11.317239814388207, 9.356951361053598, 7.580747834914736, 5.998484585332718, 4.614970449006219, 3.4298107212330526, 2.43774280756192, 1.6291988304698062, 0.9909600284203057, 0.506897198936523, 0.15874612955541742, -0.07321847983239455, -0.20938785014121936, -0.27003428736379503, -0.27459387656046985, -0.2410378220339105, -0.18535519372485784, -0.12114373147618282, -0.05931274201453526, -0.007922495835559528, 0.027839954496708844, 0.04555532382293246, 0.0453506140154384, 0.029581300155454345, 0.002423589752106405, -0.030598097676049856, -0.06312244473135922, -0.08847582914927168, -0.10018547248421941, -0.09245929157153251, -0.06060942212622072, -0.0013991122977253941, 0.08670243429103976, 0.20336815580716594, 0.34636931818613054, 0.5116402971564473, 0.6934496327399351, 0.8846685116935413, 1.0771233349492988, 1.2620152872893804, 1.4303825864709618, 1.5735796603643815, 1.683759328282235, 1.7543317491898156, 1.7803759531360974, 1.7589774314084998, 1.6894568096339988, 1.5735148829436594, 1.4152724923984716, 1.2211920377195644, 0.9998814762650997, 0.7617700706736841, 0.5186451980030626, 0.28319337368021547, 0.06846442083904888, -0.11272105802839788, -0.24838554850866135, -0.3280163582597663, -0.3431535736547642, -0.2878110939284311, -0.15885932953761853, 0.04367460821005406, 0.3164215498820452, 0.6526352717580406, 1.042403792673174, 1.4729198434381583, 1.9288379829558502, 2.3927517602623385, 2.8457693052668693, 3.2682491776215463, 3.6408181628150147, 3.9449779915393806, 4.1637522527422455, 4.282360199518351, 4.288831653394862, 4.174654758103596, 3.9355583547254547, 3.5714529869384624, 3.0864093065164697, 2.488602009504176, 1.7901115025280363, 1.0066823748508267, 0.1574822685947178, -0.7358894017828592, -1.6502303980784334, -2.561512298483766, -3.4456837210916786, -4.2794427077013, -5.041001554456584, -5.71103267002534, -6.273335662686927, -6.715332814451607, -7.0284279236655385, -7.2082447597260675, -7.254808705649448, -7.172421496316968, -6.9693466598874325, -6.65737013874279, -6.2512430470596705, -5.768070640770374, -5.2267058219980695, -4.646839799596809, -4.048163061798858, -3.449600196178636, -2.8686087102074986, -2.3205891357137514, -1.818424778880996, -1.3720106278093, -0.9880096035023321, -0.669792400106856, -0.41753179478963326, -0.22844491549409057, -0.09716118544323946, -0.016185611921839822, 0.023525136407343706, 0.03192599685776102, 0.019224219054008028, -0.004768921933331139, -0.031244141985563467, -0.05293366516165712, -0.06454738290458308, -0.06308436437637951, -0.04800499431701519, -0.021254763268652756, 0.01286345308213099, 0.04796353894193769, 0.07598084404349145, 0.08768770199386289, 0.07329459100292748, 0.02310769518370304, -0.07179390658671135, -0.21890669495619597, -0.42369974006066363, -0.6890937391090748, -1.0150527640803702, -1.398325609326491, -1.8323921710684823, -2.307534274980241, -2.811070715654112, -3.327762947682901, -3.8403731811308823, -4.330396143347296, -4.779005638853381, -5.16784008027808, -5.479846466160288, -5.700144905851663, -5.816841706405307, -5.821811336244639, -5.711459349570199, -5.486939192305153, -5.154290154743549, -4.7244335354186875, -4.212959890167315, -3.639746602932433, -3.028403553770851, -2.4052532622343583, -1.7983109465663583, -1.2362108072698381, -0.747066390727581, -0.3573089602427389, -0.09051791913258096, 0.033686653482943606, 0.0005472801951575495, -0.1991055620781769, -0.5683245022802961, -1.1037361465368054, -1.7955063300046654, -2.6276228581496865, -3.578397529454697, -4.621180923349312, -5.725271684024348, -6.857040729960432, -7.981369409039095, -9.062921568143842, -10.067412271744725, -10.962865065473, -11.72077934078558, -12.317277406726712, -12.734354673473693, -12.960249676974973, -12.989688319789817, -12.82397123971166, -12.47080841297997, -11.944029486451926, -11.26327823893996, -10.452744588058874, -9.539984035285189, -8.554756363206188, -7.52781185178005, -6.489742587484485, -5.469951696370246, -4.495263255343786, -3.5889081826794818, -2.7697847522609877, -2.0519366420321608, -1.4442789470890758, -0.9505581862992272, -0.5694475963725253, -0.29496381495640894, -0.11710296652086961, -0.022633680261067532, 0.003996339612899258, -0.020314877087748626, -0.07832651786150163, -0.1534246779326936, -0.23050348951247443, -0.2967149785777891, -0.3420575176436147, -0.3597850607640579, -0.3465733917661862, -0.3024690558912743, -0.23063206185346866, -0.13688693836038135, -0.029113381319353735, 0.08349054021705493, 0.1912517483292141, 0.28488056118727156, 0.35630285989861066, 0.3994205858740071, 0.41075515130337176, 0.38993260749998215, 0.33995867014238107, 0.2672769274492392, 0.18160113388984814, 0.09552021320697714, 0.023886851323419833, -0.016985479855659916, -0.010261750129158793, 0.060379063959941144, 0.20965769454158278, 0.4496127249280082, 0.7885963933781862, 1.2304729953487612, 1.7739608886937868, 2.412176814895331, 3.132436504466686, 3.9163294463965443, 4.740164418744968, 5.575968503767576, 6.392330518210593, 7.155489916931252, 7.830660770373346, 8.383482692750304, 8.78170704567175, 8.997271508847266, 9.007310674162266, 8.79521694027809, 8.351643803074825, 7.675258408615437, 6.7733708795145775, 5.662492739299159, 4.367422925243898, 2.9203866157906715, 1.3600509314443878, -0.2697301923231375, -1.9213408979197908, -3.5450618696266294, -5.091338017474302, -6.512698546794844, -7.765506805852382, -8.811574139825831, -9.619649106695464, -10.16691719987222, -10.439800143334192, -10.434311131152594, -10.156076498921838, -9.61999177843982, -8.8496417880817, -7.876607672131504, -6.738756449652395, -5.478505220997002, -4.1410624250304515, -2.772611215214218, -1.418559327424549, -0.12189051729192427, 1.078703068878301, 2.150231922240052, 3.066454305864961, 3.80859307409189, 4.365726220117878, 4.7349134317922745, 4.9208715503292515, 4.93527493151424, 4.795786976892981, 4.524873751264905, 4.148496718851794, 3.694772209544752, 3.192393328809921, 2.6691828756822886, 2.1508119995618573, 1.659706875321477, 1.214200303837288, 0.8279533346432867, 0.5095842953137558, 0.2626457386900435, 0.08589724842824609, -0.026169822916626194, -0.08259403662569172, -0.09504180646600792, -0.07680462070613697, -0.041747611383488946, -0.003277214255397226, 0.026611612108186168, 0.03815530493131666, 0.024456573100037005, -0.01810358328437128, -0.08968026168159848, -0.18701482559778748, -0.3037156577097479, -0.43075883748066757, -0.5571934915045377, -0.6709295887911825, -0.7596024872336132, -0.811470010256999, -0.8162833051735662, -0.7660832339854331, -0.6558463191447407, -0.4838934812429286, -0.2521339382597395, 0.03389180330043469, 0.36518452025822884, 0.7297065314817102, 1.1131318456203854, 1.4995714202571255, 1.8723847102304132, 2.215068762356315, 2.512155345127507, 2.750153121979347, 2.9185932684089853, 3.010407192352838, 3.022225753055224, 2.9545568101636004, 2.8117554883204408, 2.6018684894441324, 2.3363898546821766, 2.0292852072626166, 1.6960990074295226, 1.3530771962292956, 1.0162612346983624, 0.7006320555669378, 0.4193136104147505, 0.1826730448011302, -0.0022309417847683685, -0.13194699600815513, -0.20671172980222044, -0.23031588832722827, -0.2097857598551256, -0.15481226190720732, -0.07697907105039281, 0.011118080051980825, 0.09680647944629978, 0.16826784787779733, 0.2154303131497192, 0.23077864419752028, 0.2099591252558792, 0.15215712477185328, 0.06022782519218647, -0.05942036070846106, -0.19716935525072515, -0.34084979296538126, -0.4766098727067865, -0.5899348323108503, -0.6667634520077768, -0.6946254913349726, -0.6637310316608128, -0.5679992465499089, -0.4058713191591354, -0.18085921071186042, 0.09820886195830746, 0.4172813697808954, 0.7575244613001794, 1.0960843998110774, 1.4071837801394074, 1.6634952377875825, 1.8377242189954446, 1.9043144527316438, 1.8411450161793403, 1.6311710516509035, 1.263927225082371, 0.7367806260301025, 0.05584720748092217, -0.7635607548561424, -1.6971423659669196, -2.712004415707012, -3.767548297183452, -4.816860956355169, -5.808529841261902, -6.688940547607092, -7.405090885994557, -7.9067643885677805, -8.148901361541737, -8.093998743705223, -7.714310147134781, -6.993796189321016, -5.929569320396321, -4.532203802299722, -2.825838267918327, -0.8478202458052945, 1.3522194458776287, 3.7140302887027543, 6.16963680426046, 8.645822225778671, 11.066731215078075, 13.356724670828722, 15.443281063203928, 17.260289483318754, 18.752278227368468, 19.875579131982782, 20.599505584100154, 20.90741198297851, 20.79720277858532, 20.281795718998605, 19.389936823272215, 18.163076951807493, 16.65285284171822, 14.918758850477028, 13.025574357720641, 11.040988774189396, 9.033561019759807, 7.06851341185116, 5.204886170171509, 3.4934847109905096, 1.975282969083586, 0.6804218803207809, -0.3722919243789821, -1.1759754465216277, -1.7351332504411443, -2.0644851364374515, -2.1873943895633405, -2.134012461754766, -1.9392958563719107, -1.640786677950418, -1.2763581018524646, -0.882134601216405, -0.49068183951652355, -0.12955560766400434, 0.17975402219277148, 0.4225314928397986, 0.5910135039911619, 0.68409757060925, 0.7066474556786081, 0.6684689749203994, 0.5830495083558442, 0.466097983542111, 0.3340221840755458, 0.2024619800205686, 0.08497291649110274, -0.00805367176826006, -0.07016922694139481, -0.09930971489726874, -0.09785170587153791, -0.07229256016034892, -0.03258516424094368, 0.008824101786807884, 0.03818547034368984, 0.04176374385709934, 0.007201337610754764, -0.07517099952905712, -0.2111728411229939, -0.4018571645592668, -0.6429370803251739, -0.9245504356370722, -1.231402121919533, -1.5433041294643761, -1.8360958333225195, -2.082930215156991, -2.255870431954099, -2.327477901658116, -2.2725168894507766, -2.069670268574578, -1.7031429880292877, -1.1640331011946465, -0.45121246454236524, 0.42819996659677867, 1.4586700141531914, 2.6165010845958587, 3.8705184196965825, 5.183343142382896, 6.513606474979971, 7.8175505743707845, 9.050815092789053, 10.170414141258792, 11.136690750150988, 11.91548166040276, 12.480811399006129, 12.81528183818611, 12.910481296092497, 12.767270186258019, 12.395640501033249, 11.814478207013163, 11.051443608183298, 10.140389041447266, 9.11926819813691, 8.028254167197717, 6.907816789428954, 5.797025727546265, 4.732141540532237, 3.7442499061327075, 2.857889951700393, 2.090307292175547, 1.4511272285669938, 0.9424861415163375, 0.5595417281364259, 0.2910890417167104, 0.12076695089622731, 0.02854719483023849, -0.00766090957836618, -0.010387539474751156, -0.001058336242761818, 0.0014041924437658306, -0.018247252170148186, -0.07073624163699306, -0.16177859426573774, -0.2919745552338041, -0.45706641830307887, -0.648551105495204, -0.8545863568899138, -1.0611132400591197, -1.2531097902727073, -1.4158909829864215, -1.5363797042170848, -1.6041998968544415, -1.6125471991245146, -1.5587802957997074, -1.4446876624878489, -1.2764202917486127, -1.0640988822820472, -0.8210553585120817, -0.5628429485716184, -0.3060719215955208, -0.06714389510568002, 0.13902261907966623, 0.30017412665846416, 0.4077278714917429, 0.4575241147430866, 0.45026831929342487, 0.3916220432416215, 0.2919074278293591, 0.16539996696207987, 0.02937967778998797, -0.09707363841686911, -0.19448520529255456, -0.24449642161856772, -0.23139748987321873, -0.1435255864020173, 0.025693296670236832, 0.27692070764184046, 0.6044016674822973, 0.9958485095989333, 1.4328198413937578, 1.8918359740646484, 2.345537078452975, 2.7640812606190974, 3.116802475272594, 3.374002114215185, 3.5089808906851125, 3.500495561766607, 3.3338074071201884, 3.001612339763192, 2.504768767879755, 1.8526055382461417, 1.0629900345893228, 0.1622447852980986, -0.8167944139140456, -1.8366022567740194, -2.8568254338380488, -3.836310436800017, -4.735117573258752, -5.516528086176351, -6.14948169399419, -6.610258887784976, -6.883628333124263, -6.963527532539525, -6.853286139179055, -6.565501521942173, -6.121167529114869, -5.548248888170623, -4.879915517215591, -4.1525316252866835, -3.4035626390687073, -2.669528919038299, -1.98376030430386, -1.3745252702843676, -0.8635880608157173, -0.4652210417431243, -0.18572463255359553, -0.023450022283882998, 0.03070029677212931, -0.007764214838081404, -0.11836297675605639, -0.2773703658561724, -0.4597028447813151, -0.6408386844396431, -0.7986512647238307, -0.9150005090110767, -0.9769734668127588, -0.9776899149149819, -0.9166125820001377, -0.7993232471902015, -0.6368056664651298, -0.44428703054057894, -0.23971436331549306, -0.04197633567241266, 0.13101577294701353, 0.26425636525724466, 0.3472829549933545, 0.375526273165157, 0.3512503180110941, 0.2839711125070938, 0.19029283985666107, 0.09311558921113822, 0.0202296473106541, 0.0024572316513738176, 0.07139469043657516, 0.2568675122708562, 0.5842715771390059, 1.0721126862077945, 1.729807098086533, 2.555853681808955, 3.5365489815568907, 4.64536019488153, 5.843249820995028, 7.080515899374401, 8.298484506618523, 9.43188542135004, 10.411932614941174, 11.169849998487228, 11.641132318526418, 11.77099205033176, 11.516975175201505, 10.851626961316757, 9.764955259245658, 8.266158697165833, 6.384948020011534, 4.172583215406907, 1.6988363864691736, -0.9509690749340579, -3.6792594955042914, -6.380202434342627, -8.944103877473783, -11.262356148773511, -13.233554543590465, -14.76846917509444, -15.794284534078704, -16.258142649825785, -16.130011615367216, -15.40511239693097, -14.104084631272793, -12.271903147967715, -9.97580837425501, -7.302238148533847, -4.353057723436055, -1.2412134843579556, 1.9151926238036963, 4.998499611779191, 7.896750816935904, 10.508561589738061, 12.747467410252336, 14.545870461903302, 15.85755586196873, 16.658925534118815, 16.9491353693073, 16.749135263019276, 16.099882715499916, 15.060010848542026, 13.701591643557228, 12.105749872282322, 10.358228748121668, 8.544961658443762, 6.747952464120911, 5.041638984144635, 3.4893478580050656, 2.140854228088148, 1.0309055473932527, 0.1786335508872038, -0.41216305067106296, -0.7519174755147224, -0.863458223849617, -0.7796056775544373, -0.5404007029911854, -0.19014463233209059, 0.22560317560734844, 0.6629752293710195, 1.082244152169017, 1.4497848336257337, 1.7395186424961206, 1.933777747804923, 2.023628124179797, 2.008684459703094, 1.8960706692741862, 1.6991030078459004, 1.4357516209041548, 1.1269441623142638, 0.794833820958562, 0.46109326106041687, 0.1453518806559799, -0.1359709930804842, -0.3704772971639987, -0.5502417619313255, -0.6719287609383972, -0.7366146448493499, -0.7491395583430402, -0.7172759036929505, -0.6507924982796957, -0.5604715450253286, -0.45716389399103524, -0.35093384007122347, -0.25030021924631213, -0.1617527912770916, -0.08951359153250386, -0.03552308564688341, 0.0003735589745861348, 0.020078710450913494, 0.026742578274328153, 0.024202197343811387, 0.01642802704807929, 0.007029734993411475, -0.00113380403075869, -0.006210586697737976, -0.007454558302615736, -0.005155798409597331, -0.00042819055405091274, 0.005111258318585203, 0.00972848742475571, 0.011975923432102666, 0.011055319362128321, 0.007085146424951481, 0.001234093777846134, -0.004305901603404124, -0.006518197048305116, -0.00192742653097679, 0.01289829319909651, 0.040761394359967666, 0.08322349578345024, 0.14003727014609393, 0.20869703741066145, 0.28419694919863003, 0.3590437823677944, 0.4235601817939452, 0.46650269778599435, 0.47598898399292167, 0.44071838050468987, 0.35145488982956513, 0.20253736045920814, -0.006601811905302553, -0.2700283104040544, -0.5741511564371792, -0.8969506006092303, -1.2077396154695008, -1.467559999135541, -1.6301951648598947, -1.643846598260431, -1.4534614916353994, -1.003652344923485, -0.24202806270014668, 0.8773254246384221, 2.3902237294127873, 4.318851016564526, 6.668548084895632, 9.425372577406216, 12.55529714422829, 16.003396926806335, 19.694011749612518, 23.53212602640215, 27.405854881915914, 31.190796802282236, 34.757514663531765, 37.975365082042686, 40.717394699579486, 42.86605839244507, 44.31886517144612, 44.99494188248137, 44.843534732296256, 43.843666868422275, 42.0046681441768, 39.36664913653778, 35.99965453445568, 32.002586303054, 27.5022966311216, 22.644113699746867, 17.584541718426145, 12.484743333259237, 7.503843774904239, 2.7927500486019166, -1.5117167503871551, -5.29491220383215, -8.469055912408404, -10.975926029519943, -12.788109216752368, -13.908933825345677, -14.371606585238712, -14.236058572906755, -13.584104307264912, -12.513795845670193, -11.133266233575737, -9.554593823876266, -7.888060862916248, -6.235472545933776, -4.684822789707893, -3.3063328960364475, -2.1498032907809748, -1.243395662656263, -0.5937537703958415, -0.18718876898973918, 0.007581609410877427, 0.035634745805133664, -0.04864253398081166, -0.18640083255667866, -0.31922607786143986, -0.393839472981951, -0.3661972816502568, -0.2047163941012629, 0.10755782220064555, 0.5719399832989926, 1.1742479257247853, 1.8861841249791675, 2.667763857555901, 3.470583957371476, 4.241694834815637, 4.927782095913805, 5.479310816429856, 5.854396259198741, 6.022131304660671, 5.965129780060947, 5.681108785423602, 5.1833362586116785, 4.499764523776294, 3.6714016055492964, 2.749796770626007, 1.7937382374787172, 0.8654026531205314, 0.026103129649455256, -0.6680839703469132, -1.1696247947082157, -1.44252118188012, -1.4647223612524243, -1.2296959686112525, -0.7469833610388742, -0.04123248393588172, 0.8496794436631387, 1.8769554252498255, 2.9837863391963007, 4.108707109190448, 5.189580126950493, 6.168666524968263, 6.995342957217314, 7.628468900753077, 8.038414940646076, 8.20838269229129, 8.135428579420214, 7.831535805374771, 7.320856710778388, 6.637195866362474, 5.821522928493399, 4.919214112655108, 3.9774620190583256, 3.042980501652787, 2.1580852795730943, 1.358213213453706, 0.6703860931440715, 0.11232672193627313, -0.3077162068285681, -0.5905822208454813, -0.7455815513194097, -0.7889595929808887, -0.7419392728914492, -0.6286084879631085, -0.47382713077879623, -0.3013211618000836, -0.13196188827598884, 0.01756976594901059, 0.13561584618705727, 0.21585219646999917, 0.2570969596377974, 0.2626811975465424, 0.23946258395691997, 0.19657785638932004, 0.14407936543742303, 0.09159658271937646, 0.047153704162227444, 0.01625341176117662, 0.0013087264269685077, 0.001484063794829234, 0.012952708299592188, 0.029542591361484672, 0.04370675661189609, 0.047719409646032496, 0.034975306722176705, 0.0012660514685811084, -0.05409715815233171, -0.12743748802036708, -0.21025662061761122, -0.28926223551720415, -0.34682993031005716, -0.36193067959339914, -0.3114927183075504, -0.17211676527061162, 0.07797830379894193, 0.45703338170677554, 0.9779479178501622, 1.6466441936878031, 2.460769548365663, 3.4088566554801365, 4.470207025724072, 5.61599615650414, 6.810193731104705, 8.010998031166736, 9.172819401032164, 10.24860131726124, 11.192753824675316, 11.96513026167329, 12.532481498482673, 12.869986410119353, 12.96268025600772, 12.806351399757546, 12.408298171194824, 11.78822396102204, 10.975554672493544, 10.00718607841188, 8.925327268904505, 7.775105734445758, 6.60233552127282, 5.45156132112244, 4.36254439980122, 3.3681077056528452, 2.4928462225158143, 1.7524257873429214, 1.1535416211922869, 0.6944257198857876, 0.3655157619405457, 0.1509854385114065, 0.030664449545199493, -0.01791424321343571, -0.01749957002742875, 0.01070573730574287, 0.048593810856088174, 0.0823006670660538, 0.10284156780264483, 0.10621166091093831, 0.0929815299996882, 0.06745824374439349, 0.036499505099830014, 0.008122785575388007, -0.009930851670402436, -0.011521787364389373, 0.00681801325127228, 0.04519161770347071, 0.10011845644103046, 0.16481975050495984, 0.22999713971707625, 0.28504496024466625, 0.3195935564417992, 0.3252421167775241, 0.2972578964998796, 0.2360860977051143, 0.14848883359710638, 0.04814119732173376, -0.04445391545760184, -0.10281794086204851, -0.09608770327412725, 0.008692760875817593, 0.24366808391488368, 0.6368169380116765, 1.2084245565296552, 1.9679185656762284, 2.9109452648610206, 4.01699041550602, 5.2478693265215774, 6.547280815026699, 7.841949971328397, 9.045244437502939, 10.06028534768874, 10.784244089289894, 11.113803071686581, 10.95129716602298, 10.211886990317181, 8.832080086088062, 6.773618613894682, 4.027357981923018, 0.6165548690561141, -3.4012926505685472, -7.933896798548963, -12.855549329064905, -18.01344052880167, -23.23398365036053, -28.329892787851147, -33.1082388134076, -37.3796352579352, -40.96971120265355, -43.72790571573451, -45.5345888714805, -46.30700974415061, -46.003550699794694, -44.627156177986365, -42.229085472033184, -38.903714589049805, -34.78260355013872, -30.02779992562007, -24.823777813760508, -19.36926481754655, -13.869646236338458, -8.52376317090914, -3.513659792469603, 1.0034889400741345, 4.901827812900226, 8.091118641290235, 10.518965504054469, 12.17264549280953, 13.077383662727907, 13.292253112851627, 12.904421515274656, 12.0221457716647, 10.767054135076332, 9.266183131916709, 7.64399224119031, 6.015063435917532, 4.477940021074753, 3.1103969842242045, 1.966357716257379, 1.074793211000049, 0.44029619989763213, 0.045250356934577594, -0.14660315311201766, -0.18552136554116463, -0.13036444296802624, -0.042905047399039685, 0.017553567203134317, -0.0009734496292530317, -0.13911820303704683, -0.4231940471008158, -0.8635328222224257, -1.4541667090504693, -2.173755302256001, -2.9876632178061007, -3.8510065908464033, -4.71284331270658, -5.521914098912706, -6.229849170414275, -6.79414099923491, -7.180855840558453, -7.366637149222557, -7.339203385006834, -7.09627260671512, -6.648984582422332, -6.022343200384441, -5.253603599769207, -4.3895001210249935, -3.4829918424320336, -2.586164416681934, -1.7385439238194922, -0.9654703362978762, -0.2794986755873106], 'positive_zeros': ['1.50982751497776689218005851642856', '1.82463447928634437616145705469303', '2.27874071348170025039357565269008', '2.33882128117379877062134696588944', '2.55699441501552719531567795139067', '2.76015719602775940537678612997155', '3.30686353550851249774019302440172', '3.46422594205337024592826052817233', '3.97661258265047751708350429214804', '3.98117740043583356945384581604970', '4.02634525145321782775232691616469', '4.34081692186315113372638408769605', '4.78179838998601791622405907564203', '4.95923144033880540540075629515823', '5.06868025867360532327881455004986', '5.27501758696737679722278801814481', '5.28333195368743484907088279275459', '5.39321199046958206380717898193432', '6.11849197904606841331446093955597', '6.22429988363595210209764897535734', '6.28481136834883854916484166648602', '6.37067722750190494941192947119001', '6.65931453732311154453761455004527', '6.73920555100069961042905188598346', '7.00352180687488904356497950033963', '7.38857740287814404294217850659822', '7.43200469304376485145926206679844', '7.51634671688585859345459456501703', '7.58635044232470429388292242993508', '7.973323581145115931312157885382015', '7.990945917030257619542676595665951', '8.468106292805154241575351725614812', '8.477895420159253751986315778196728', '8.624951480029773396153102792986473', '8.775943074254270670940185811254339', '8.797824659548627564189731178323956', '9.126880305318087456337997934158502', '9.377509160078223450866997198392694', '9.644868190922176379766015402784952', '9.711425180324720092583117602184390', '9.755476444356326887659613267974157', '9.931580349991353123162727530057644', '10.21727470866275909730242847702785', '10.30249401478908465073304238367269', '10.39715299150644739886753440407281', '10.53494170561631309742673702195614', '10.68841063034004938204044037023978', '10.90268483140256547162961089140789', '11.22705388470360905952556821228338', '11.37273347106460042147723064654266', '11.51502863089367685611728516470113', '11.58769298921265296854708318224414', '11.62908781533890540191818559849199', '11.83214530260663239165160014570013', '12.24178980894681560527179094947159', '12.27241640337287264413991556276576', '12.28528218320688975514236439799839', '12.54675094406521797936147283869731', '12.65701706584572079363957669533315', '12.72696713514572941668974240840333'], 'prelabel': '12-228e6-1.1-c0e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.33732302453334634, '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': 24734998365438088, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.50982751497776689218005851643', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.82463447928634437616145705469', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.27874071348170025039357565269', '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': 2.1704602080764133e-06, 'bad_primes': [2, 3, 19], 'central_character': '1.1', 'conductor': 140478247931904, 'conductor_radical': 114, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -1, 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, 6, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -3, 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], 'euler11': [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], 'euler13': [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], 'euler17': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler19': [1, 3, 6, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], '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, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler37': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler41': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler43': [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 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, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler59': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler61': [1, -6, 15, -19, 9, 9, -18, 9, 9, -19, 15, -6, 1], 'euler67': [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], 'euler7': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler71': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler73': [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], 'euler79': [1, -6, 15, -19, 9, 9, -18, 9, 9, -19, 15, -6, 1], 'euler83': [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], 'euler89': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler97': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 1, 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, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 3, 6, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0], [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, 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, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 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, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, -6, 15, -19, 9, 9, -18, 9, 9, -19, 15, -6, 1], [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], [1, -6, 15, -19, 9, 9, -18, 9, 9, -19, 15, -6, 1], [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 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]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/228/1/s/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': '12-228e6-1.1-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': '12-228e6-1.1-c0e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.33732302453334634, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e6-0', 'trace_hash': 24734998365438088, 'z1': {'__RealLiteral__': 0, 'data': '1.50982751497776689218005851643', 'prec': 103}}
• lfunc_instances •

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

  
  {'Lhash': '1913933755602662217638816918760,2312998992864457255405467811208,2888647033209581040635665301494,2964808200906522497067461551592,3241375504974663363427642844040,3498914926268855851767760198800', 'Lhash_array': ['1913933755602662217638816918760', '2312998992864457255405467811208', '2888647033209581040635665301494', '2964808200906522497067461551592', '3241375504974663363427642844040', '3498914926268855851767760198800'], 'label': '12-228e6-1.1-c0e6-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/228/1/s/a'}