Lfunction data - 1-6017-6017.1949-r0-0-0

Formats: - HTML - YAML - JSON - 2024-06-18T04:26:57.118066

• 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': 'dirichlet_L_6017.1949', 'a10': [0.3546048870425356, 0.9350162426854148], 'a2': [-0.8778544091784045, 0.4789275898150307], 'a3': [-0.30901699437494745, 0.9510565162951535], 'a4': [0.5412567274279314, -0.8408573927926221], 'a5': [0.13651361194073158, -0.9906381951827293], 'a6': [-0.18421527410401156, -0.9828859205354322], 'a7': [-0.231486692958943, -0.9728380702783644], 'a8': [-0.07243480016176236, 0.9973731496914912], 'a9': [-0.8090169943749475, -0.5877852522924731], 'algebraic': True, 'analytic_conductor': 27.942830525881202, 'analytic_normalization': 0, 'bad_lfactors': [[11, [1]], [547, [1]]], 'bad_primes': [11, 547], 'central_character': '6017.1949', 'coeff_info': ['x^390 - 1', '0.999870224971375 + 0.0161100346272913*I', '\\\\zeta_{390}'], 'conductor': 6017, 'conductor_radical': 6017, 'conjugate': 'dirichlet_L_6017.3504', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^164', 'a^117', 'a^328', 'a^301', 'a^281', 'a^278', 'a^102', 'a^234', 'a^75', 0, 'a^55', 'a^299', 'a^52', 'a^28', 'a^266', 'a^116', 'a^8', 'a^7', 'a^239', 'a^5', 0, 'a^355', 'a^219', 'a^212', 'a^73', 'a^351', 'a^216', 'a^243', 'a^192', 'a^279', 'a^40', 0, 'a^280', 'a^189', 'a^172', 'a^113', 'a^171', 'a^26', 'a^13', 'a^182', 'a^169', 'a^380', 0, 'a^145', 'a^129', 'a^22', 'a^383', 'a^166', 'a^376', 'a^233', 'a^237', 'a^314', 'a^125', 0, 'a^380', 'a^124', 'a^17', 'a^383', 'a^356', 'a^86', 'a^53', 'a^122', 'a^204', 'a^210', 0, 'a^380', 'a^54', 'a^82', 'a^353', 'a^371', 'a^336', 'a^323', 'a^277', 'a^329', 'a^335', 0, 'a^190', 'a^354', 'a^177', 'a^78', 'a^346', 'a^236', 'a^333', 'a^27', 'a^154', 'a^360', 0, 'a^135', 'a^309', 'a^187', 'a^293', 'a^6', 'a^186', 'a^308', 'a^157', 'a^64', 'a^330', 0, 'a^150'], 'euler_factors': [[1, 'a^164'], [1, 'a^117'], [1, 'a^301'], [1, 'a^278'], [0], [1, 'a^299'], [1, 'a^116'], [1, 'a^7'], [1, 'a^355'], [1, 'a^243'], [1, 'a^279'], [1, 'a^113'], [1, 'a^182'], [1, 'a^380'], [1, 'a^22'], [1, 'a^314'], [1, 'a^383'], [1, 'a^86'], [1, 'a^380'], [1, 'a^371'], [1, 'a^323'], [1, 'a^354'], [1, 'a^236'], [1, 'a^135'], [1, 'a^64'], [1, 'a^24']], 'gamma_factors': [[0], []], 'index': 0, 'label': '1-6017-6017.1949-r0-0-0', 'leading_term': '0.842984684467732024159003458445-0.447902321027367116401529754931*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/6017/1949', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [0.9545887425634474, 0.42845750848109687, -0.21425590244781542, -0.05112152435854841, 1.5859042462180828, 3.3520932186091867, 2.6051056317726076, -1.4239386848023576, -5.717283028674384, -6.052443172036639, -1.8996703098235037, 2.43457243388493, 2.6230211528201033, -0.5437930093505985, -2.4706097676656618, -0.9421701994965304, 1.2731857553861539, 0.9478400820572241, -0.7535528952684508, -0.4064049061935592, 1.922835308739887, 2.4596215784206557, -0.34837603509418447, -3.068049224131191, -2.304519026516537, 0.2664187732204623, 0.7879076162426081, -0.7707943314739032, -1.1861070621080316, 0.3084428133874688, 1.0650625378827296, 0.0821125058480593, -0.3036383702232454, 0.8285343305390429, 0.9069460344671565, -0.9436884493009506, -1.0329885446764138, 2.5665965523253798, 4.8130227418009115, 0.5869374212643035, -5.9617950260946895, -6.1640152575993, -0.051528497592314114, 3.1486102022089852, -1.0011330783437997, -5.755361933747557, -4.257854219388239, 0.40170890068133114, 1.6166734067147237, -0.2846646520526753, -0.6539672688934701, 0.7943088389809912, 0.9283710809883964, -0.15256163239120002, -0.11572279921659939, 0.30457067905737495, -0.6294555836802875, -0.7150876045366936, 2.4226763948584886, 5.111003593081244, 2.5246876981933157, -2.4205778713848933, -3.041921689876072, 0.19193261287301674, 1.3514734496376688, -0.11816587236430794, 0.06606642358920535, 0.8931767301593101, -2.670591106401761, -8.357378006623865, -8.083735278734782, -1.940829606305681, 0.9926194933561707, -2.1356380201219216, -3.8691879797433533, -0.5017284393612262, 1.9617436543731643, 0.0020694039403382214, -1.0929670590170928, 1.8880571299960136, 3.9102168097966423, 1.6865707712669453, -0.35729227204767605, 0.9062794336952027, 1.9272033939111668, 0.43498207017281315, -0.44723229678250065, 0.5361089588932244, 0.41139551880195113, -0.9480219246399639, -0.4460253687799324, 0.9612428246388756, 0.15562094532773543, -0.33321039201466374, 2.7827726809665814, 4.037749055965964, -2.353053772480355, -8.535297853949896, -2.977455001057904, 9.082731642300311, 12.02874691396619, 4.058407538060317, -2.2479086547546845, -1.3817798772930965, 0.2722260272842462, -0.5481496787625364, -0.48515672119224695, 0.21823597432640765, -1.6474490650249558, -3.578030775913035, -1.5199771062767498, 1.3807133935781346, 0.808068320866215, -0.23934972679281966, 1.508223623300319, 2.304893651389712, -0.36387614188704925, -1.948777632568382, -0.2748624163033395, 0.25169452584854524, -1.027675803356186, 0.848654326905802, 4.767693307046386, 4.000274851401583, -0.3406216934464744, -1.1948928353802646, 0.322728259052067, -1.425523720580503, -2.8246037829890573, 1.8925001234513843, 5.964031078813508, 0.8116470688034836, -6.312478161538037, -3.9527746817578158, 3.2537604450322215, 3.959826383185052, -0.15222421957119406, -0.8302515024483089, 0.9838511435818569, 0.46878327955780896, -0.5371861351617375, 0.4670991607254731, 0.8075088265759691, -0.2730455733261319, 0.17729673291780895, 1.1484877633513548, -0.23099572453139877, -1.0910115498514932, 1.0867380999608507, 1.4951971393888575, -1.6621624301897837, -1.0722002508278627, 4.884372972310134, 6.460865617068872, 1.171555414360459, -0.5152382906569569, 3.951530302020402, 3.9385110982655682, -2.571020588077662, -4.684716780585885, -0.20970224431290616, 1.2330039298300766, -1.998865677007863, -2.3429360237710743, 0.3235407607561042, 0.3052935721864831, -0.9900820870430946, 0.05244979664941838, 0.4808972782912746, -0.7966694680167595, 1.5211598887784672, 6.808819215621102, 6.987062818179203, 1.815362660216079, -0.7307413944893325, 0.4674944114876253, 0.4505595212787167, -0.18603476183199388, 1.0020348551412506, 1.2008645794403146, -0.14811117502909388, 0.9150252349912344, 1.9710263507884984, -1.905815303335272, -3.3105043936992655, 6.735523794896548, 17.715946205693157, 14.086782608101592, 2.4691044688777746, -1.0196249395979677, 1.5905753819857942, -0.3033602880480469, -3.7693219093663335, -1.871283044206126, 0.9205680113674073, -0.26278306337184554, -1.0457451718843362, 0.7312664804238387, 0.8840188897840175, -0.5046118951597144, -0.1606005671129926, -0.05200756091612227, -1.7031119033981277, -1.2431654963025787, 1.0447704313257393, 0.16792379751092779, -1.3268353645877036, 2.0765775730451876, 5.095860105389806, 1.5772422106324995, -1.2822445040691766, 2.5161139062429534, 4.569703241038845, 0.06936062469223618, -1.6734028679029074, 2.5843905772108573, 3.4134657455560253, -0.4888795875981763, -0.5217014870424892, 2.195678908560228, 0.5597048514946563, -1.5650040367813136, 1.0846966064920522, 1.57263522763596, -4.36617731396961, -7.663323742367196, -3.6434593647142046, -0.011838226520200376, -0.27964965822730825, 0.06692865973160332, 0.9504162984377275, -0.2676821747858886, -0.7043080984568859, 0.6042406932543046, -0.6106386726274269, -2.9686400706943643, -1.3479235699138887, 1.1592460140823535, 0.23847685612717986, 0.20249862333315954, 1.9867793309183033, -0.921524570825874, -4.112263003129513, 4.240954654426693, 16.390652766580274, 13.291877649244162, -0.7097678995834071, -5.304679367647867, 0.41492882039482026, 2.547053682116309, 0.12521436045714332, 0.28601254444887064, 1.3072291560268623, 0.20104647794116254, -0.07847625298745135, -0.027528325152393427, -2.432076096770531, -3.4388550250711383, -0.727234894603636, -0.0157388326425131, -2.0841243407564187, -0.5346487535174714, 2.9182353299565746, 1.6644027686413485, -0.649499665635479, 1.3294941833030565, 2.3585097151758196, -0.55230310099251, -1.1990290773626344, 0.5524441449806604, -0.5912988700044156, 0.10139296436352606, 7.1164134659945475, 9.786818086479538, 1.850080940762701, -4.067965330110209, -1.110073326660197, -0.032589824806066384, -4.001741650662988, -3.08302791074767, 1.9685972909257132, 1.631620389551738, -1.4909822281194558, -0.45265427145290404, 0.552219724312927, -1.9758248073872484, -2.3696065273219573, 0.3635537063994845, 0.7440848829943046, -0.5087904080773672, -0.04238980122549633, 0.1012950571190192, -0.422473901921092, 0.4696749056617842, -0.6417200429485541, -4.119722324779965, -1.1966336148179804, 6.909936225872405, 5.801558168942053, -3.614569411747029, -4.441565988173791, 2.994878425452403, 3.275677312163721, -2.2862134607561924, -2.040349867758777, 0.40665791829664033, -1.9924103514891693, -2.7317959075115983, 1.6072642887158235, 3.00379106279251, 0.3681966236748764, 0.1405150400231008, 0.6776159567292047, -1.272460734239559, -1.046094371799344, 1.8043116142471751, 1.2380955678566663, -0.7110519039062688, 1.066502470517353, 1.7038844545884548, -2.1069178285630006, -3.3885292566196776, -0.4356672680359873, 0.3674942984991476, -0.29912951670101273, 0.9547427700455132, -0.0890769708411714, -3.27156899335352, -1.3771229523759345, 1.9479116469407378, -1.3427287520839686, -3.541262542736315, 2.0635408975074485, 2.1856877981834293, -9.393515359442423, -14.909028033530802, -6.100597541442166, 1.1842163989603902, -0.8252396639204927, -2.244966461572756, -0.09630298275719226, 0.26476225303573564, 0.1778641706404307, 1.56424408572376, 1.1160396124522298, -0.10254951927419055, 0.7323949165646991, 0.11863728977138639, -2.154196377654965, -0.4520618555740873, 2.530925404169564, 0.5221751706921612, -1.6430885619305795, 0.19921135689944075, -0.47170188116607437, -3.3669819742854123, -0.7205858860659955, 1.1744227529476035, -7.007607048723273, -13.666230187698973, -7.1480559598445454, 0.5818941795211563, -1.011434997235896, -2.887935192418492, -0.19617038401626216, 0.22445850220141705, -0.7555336559548282, 1.0498109726597782, 0.38719455275977643, -3.362892747691178, -1.7855121357992212, 2.7976969908815543, 1.1340730296490111, -2.652129175441662, -1.084850316665367, 1.1056271930276615, 0.1765236025146913, 0.4373290531354901, 1.3995409611170648, 0.08262060152459814, -0.12348345994312716, 1.1102904411614962, -0.3930668474571531, -1.150291159311635, 1.628337001624518, 0.31194109598551956, -4.529729551708061, -1.7543774295669854, 2.623332509583232, -6.5431720889064575, -18.63683556449755, -14.027584270971108, -1.5465136275504627, 1.2732745599723168, -0.7610833675333539, 0.43420783716869127, -0.39291885559116996, -3.3959527952629593, -1.886144483659141, 1.0417578737307889, 0.38646541534657497, 0.025533149915464976, 1.0624934075984458, 0.05845854477575518, -0.5539281151939983, 0.6016758836650463, -0.5584886240474497, -0.982976452541216, 4.063859851816385, 6.342163118521564, 0.48722352896203286, -2.9292102094399697, 0.19332666073135182, 0.4748408616097589, -1.8567045924310268, 0.13380498874314745, 1.6318829454107984, -0.5536328553751283, 1.1841945850401938, 3.9435690865576665, -2.173162486638564, -8.30894898378321, -2.5761535928078567, 4.174716974912202, 1.3944467166885866, -1.4915564335033658, 0.5354819453396813, -0.08402714813304396, -2.044451756621787, 0.48353038610956534, 2.2879099983993427, 0.04250981586988068, -0.38450154261500924, 0.8895490907947481, -0.288885113526219, -0.5826617568680812, 1.3721541834290758, 0.9476296655828974, -0.29899358646237667, 0.5631150691035625, -0.4761033673635272, -1.9762129278971683, 0.9815052144235517, 0.0635456308294875, -9.534931181439523, -11.421390639357302, 0.23924789207622477, 4.7556888530378565, -4.116982650224988, -6.986204069739715, 0.06059485884130502, 2.3116441420661373, -0.37160979947417205, 0.4925654371272594, 1.5096532829992348, -0.17484401155347026, -0.2029797399653127, -0.1400361975872896, -2.0485964036869984, -0.9519821843785519, 1.3730575275670471, -1.5985625045426, -4.22751671792245, -0.34074469273241303, 2.4530943933067033, 0.21486886985319625, -0.5409195392269377, 0.02515117986497666, -1.450290943764905, -0.7631408240907571, 1.1132165282777318, -2.074269787415312, -4.494992460165746, -0.4483111074704934, 0.2736436610972537, -4.650220946200107, -2.9816671185215604, 2.9304895149494654, 1.1467268708572458, -1.2111772659048325, 4.372469209721708, 6.200797846004941, 0.04780962839999702, -0.06063474390133264, 6.261670251965466, 5.887351580702568, 0.7231906362007503, -0.2901721365044232, 0.34868951231953044, -0.16553516950317673, 0.32007118258299283, -0.22887905761264649, -2.012912698620211, -0.7704240758010273, 0.8445816376450097, -0.40600377984821934, 0.5853535555290217, 2.5846811506485587, -1.3156451729258463, -3.9101103024065202, 2.3040516867220604, 5.532862439688644, 0.03187391857988871, -1.1647043967909148, 2.1973996936582267, -2.419694695285174, -8.511517562720599, -4.289365448089703, 0.9100075778735026, -0.8931320673121639, -1.26990707760562, 0.7502291217945668, -1.4709079473870952, -2.9770321490547604, 0.21132446456328002, 0.9597437236336596, -0.7377365013359982, 0.791758768554786, 1.0575312338052603, -2.3712754598972694, -2.2409413500265543, 0.3179534149623651, -1.260108616845603, -2.3455783764791907, 0.6332242317521659, 1.1579827174158162, -0.8521064614731614, -0.2644107253129138, 0.06622678187326521, -0.7994184649991705, 0.45878346525140845, -1.4143359164544345, -5.804208265085039, 2.497298810801128, 18.968115690381524, 17.48489795507133, 0.1846763772483424, -5.583795680725603, 1.094121473149351, 2.0803982547147015, -1.0761126342157095, -0.16631860866316905, 0.19876842648699466, -1.085177079847908, 0.20068207988265557, 0.38168580629269677, -1.796503767319472, -0.6449519209786077, 1.6448751065780198, 0.42297177828061505, -0.2699603942416593, 0.4585119695528241, -0.6396260534692089, 0.7612472966466188, 4.818792314958242, 2.495522522880452, -2.7050415341706007, -0.4098535150390868, 2.6114027428989535, -0.5233849607422588, -0.056111468656067455, 4.589194089660136, 2.0398898739988227, -2.1880334349552593, 1.8995457371297273, 4.72680553618193, 0.46067077511888943, -0.7513065166425863, 1.0656224455346994, -0.9462611785456247, -0.08542938371719276, 5.941074243260753, 5.769178432114093, 0.5206450202531644, 0.9021952967504814, 2.7425854020826073, -0.26368219883569877, -1.7539266484988665, 0.11958278272372869, 0.09856838664505473, -0.23975296913353034, 0.5907810167232719, -0.14917311669400563, 0.46375747587120403, 3.03876972820542, 1.1650584865541351, -1.4043367308528194, 2.356284815332661, 3.683343266778057, -1.307552841550208, 0.05273750998071565, 5.135631668783758, -0.7777640787612865, -7.485674038835025, 0.08788680505117855, 7.281453168808078, 1.4551160256465254, -3.280982809975992, 0.044684543773621924, 1.288123587639425, -0.1163360960847491, 0.7292650540193687, 0.4641310128231165, -0.8688162660288119, 0.034928665881496915, 0.1816338076785286, 0.5797516497953978, 5.170785938610472, 6.573864825239558, 0.6690886607266047, -1.812177335364896, 1.3585944496135898, 0.878233718389596, -1.203712653827652, 0.286002990238256, 0.03213327267607756, -1.4664672100822753, 0.9531845359118573, 0.9561615913415402, -2.5652788173797028, 1.3544458228236524, 7.771470784323027, 3.8214897197198785, -0.9439135016653163, 2.729049459431689, 1.7969659756407734, -6.064833921536018, -5.51890323159694, 1.0209660903064077, 0.9916364646688278, -0.7597985654171313, 1.200883637297586, 0.7281064388235032, -1.1766961212237832, 0.07758009493705637, -0.18224606135732663, -2.5894401168793064, -1.687420263610665, 0.006608331765111308, -0.17122552720514567, 0.987964739163802], 'positive_zeros': ['0.50745035922637376010060027260', '0.95400490685117821782579524279', '2.09479058333408672175155946446', '3.241700859088146007703309256843', '4.01282854178743997442145298723', '4.7993676730522408301986553369', '5.47442342589709588273454234873', '6.0004216562240373581564456422', '6.84462569345880406934625688379', '7.77382161483925217274804900856', '8.29512134781093373106518368055', '9.00525743409346254378937101773', '9.71032062974685151739722113941', '10.10744957320227596532577754498', '10.79065508880793964737074935789', '11.36562172763947839936845537796', '12.213664368987951806364660872279', '13.12755488698474715753478499005', '13.69813989022539004128853799428', '14.65493356819993022786301729294', '15.26518466956646924616444230422', '15.77171144874142807265502189828', '16.50826801428093932237599386553', '16.92757257251925647129368634445', '17.33465584393837067256176037115', '17.91470079379080043987059846491', '18.89848559527088901209021601490', '19.66820608742194896815524112592', '20.283920156296147686352055961468', '20.6095712077797814899418179393', '21.07401743344353810296289951450', '22.30638652057439823948059026501', '22.64151560241998686279923815755', '23.47532583281133356233603628722', '24.06273670516836154770884758240', '24.52388087950302215575394525196', '25.51251862709791755612479240991', '25.78540181272521218257172221200', '26.64253062094797349375832047622', '27.039709406348359110398503596655', '27.591559245281361826713446635893', '28.20664894191807983280497150280', '28.78132721563465154786391113533', '29.12009050508860046573797345751', '29.91324018319058489164338188944', '30.70174006505326752393362329289', '31.717511494669824146131597165955', '32.38616118523676894732518936752', '32.65612012377447065940099328034', '33.26652420106427964849650598109', '33.52165028359521996586351780945', '34.50920318086714961973221057432', '35.153280851922854637661383054152', '35.396147221579247161753448029798', '36.21434404082541764942177352989', '36.92320156335154716795163022700', '37.25012516617085144839549423152', '37.73841267243558158676394596477', '38.72068265847012318637021064433', '39.26995038835508958492856985423', '39.5144468528107420991627528490', '40.219400128203842435692192989032', '40.96664904712346737575499191463', '41.722537897043830812599345832409', '42.485810356613552081831699913827', '42.94423250462407549191254225450', '43.53292271064608390548718822583', '43.95435452838487981456628989947', '44.59703928443396938175391270799', '44.95757474284946849362836789666', '45.58947087414500505303277137543', '46.11928644044946486766155365126', '46.71979248313796811375253411732', '47.25499202349484637607076552636', '48.203172939651857899204392098436', '48.48860934213949926063074982404', '49.25763646635392128778823816101', '50.01483637058409517913906439124', '50.44597312177235573046189270931', '51.20331224187766709125202996698', '51.61943561145023103861373404501', '52.17701932467656747198758846768', '52.61080389033566856685211950401', '53.0078078052484854696240825913', '54.203191420509003694575330430240', '54.584553263015739861364300426038', '55.1379006544992554106992285014', '55.39933019513946117752078778962', '56.19606287567986889332602389732', '56.40807149266406069715000278657', '57.06796054769726041687337617692', '57.64323557681588123867548416730', '58.85574858841330817145567633263', '59.18485357190949954665276975265', '59.665222872814596551313179726569', '60.47471282911073047261275279997', '60.89799409490085740133502317039', '61.443706003701209796071542393399', '62.05374576344677611364124562290', '62.55720481916246427979345721787', '62.79699107094574771539844942779', '63.59053313666451275766578830062', '64.08363360560398617450050832327', '64.54667625294729110919475605584', '65.414853994595501290685229579031', '65.77639095554457093994751019140', '66.56682911271749289970681531802', '67.01781365273372753520489173009', '67.76809705189978634266276321496', '68.17933695972613894340481747987', '68.80076731979054870817422266186', '69.278851623996936640827559104436', '69.7941509268040596136686294524', '70.94059742994878083381149872888', '71.13730421721888523232928417230', '71.54567509219580802795889530178', '72.13643956183219160620203571615', '72.6585579880041191285808394118', '73.04991627774310665079752250253', '73.879289121351122638418944928598', '74.42831159622463565061558534413', '74.64699979491231580015188185529', '75.255791867177639957503645542730', '75.83065209448276723973888379252', '76.856861460802749194577134294048', '77.478081919265132537788862080837', '78.149173248605595378543164936153', '78.37476409489384849613086807641', '79.11963516669278906914565600331', '79.41601756578881916747497145819', '79.68000651802210278712484776590', '80.72515947211060502850028757577', '80.934351070429141027046682323034', '81.60463808960194626282341330041', '82.35464497761367454965780226334', '82.66529796224929418250720163873', '83.38160217122568265764630025259', '83.935616977443572947576770255825', '84.28065597027667444463363770569', '84.68015909810144767383928961416', '85.68703872556380193976660067342', '86.34974091285071442592563058954', '86.55862044291233145220582646948', '87.36511051285643690734457088064', '87.95062328141149559883232182354', '88.498717874472199281556752805525', '88.84447835488336202916603530012', '89.641296248571832580986387098', '90.157763791227468471501677210814', '90.640703990186966814516725009104', '90.98150664394441323417001508671', '91.42586794854431240882224408014', '91.80417578169609687302145410923', '92.54693499038173878532721170241', '93.31349038360595238334423273951', '93.933553169190435336362177050636', '94.54797519873526217927154689608', '95.20190810488610208582777565543', '95.425434960011349022767659214676', '96.143673720455469647630399780271', '96.94210034376133222992149849349', '97.148318672421948942411288126084', '97.63252956914321145009262106046', '98.23695675698283958155498460197', '98.89935469752349328845274262463', '99.247403203538658494736642119809', '99.84652362168992263866686149737', '100.681318932730724846295770970692', '101.04718964693327826484874094033', '101.35640850838823328240731862293', '101.866255131101048722807154936419', '102.59361766350188664848554039807', '103.04293059080158742108537083247', '103.65153584236486477123050825656', '104.13970849383993683785704232708', '105.21254179022095902442874056681', '105.55381711235207278871846113007', '106.26733218764226322519967702757', '106.71001485104189568382900320998', '106.78736537951229929189545847850', '107.74110567688059110332412680301', '107.91085182038348486829905032838', '108.453297246422764499624075223769', '109.09913159051744582243791942413', '109.73268550946761157170756667695', '110.28116579849607798820005828942', '110.573381936484428379825876671639', '111.29850141060134966612055907925', '111.64067918287565347527575912824', '112.7644586485674990356270954567', '113.04169118286966118323585586174', '113.77530496279542533903800099267', '114.10814501408319984162999615458', '114.53633878508881125927881232093', '115.03371512292312346123159327129', '115.730715525575995005952747940581', '116.324461424787725225247065026276', '116.98107339261430535562225841391', '117.56944887853526601570957724466', '117.67910008207285473123976284932', '118.45456610617171655930198458361', '118.77870664144829483432808134279', '119.323642560738551984737290578360', '119.82900357934057372051980160597', '120.33210370429148275338609066734', '121.0181625985580122403713766534', '121.4006843806314169605982669008', '122.56357381866697267497986900412', '122.97079377528605266699001364337', '123.35512662037184673703760374081', '123.70690967083351170497723635847', '124.53927368786701982100324830368', '125.0983648687741522920547478736', '125.303772171603047910985985349498', '125.94868014052658025475157472805', '126.39229427097921993565294193788', '126.79208872248039421177562225994', '127.27544747347203520848159776537', '128.147604563386610012059591147803', '128.731585051034738539215789183330', '129.11713849318121681161535489812', '129.67497228067794017135276202697', '130.225368937609987469253139150694', '130.526901886545322649206880358641', '131.17431473815210213561269462493', '131.96163325873244897630939775047', '132.589950621478084909117821936581', '133.04907188119177573423055455510', '133.427626304855666637550846049897', '134.02148555093892201217529511132', '134.69333923529583676625901410209', '135.077206494072212349959971040482', '135.57364926236253763570306154309', '136.036017730809885694178034956385', '136.73514166420092209863132057958', '137.019533586200937293388356440454', '137.43566051560873157568610260221', '138.04172096141217970841040420652', '138.44053567660358318754048200902', '139.36881768355790862988314375892', '139.87293951683670184109795292892', '140.62217106831121436841935565558', '141.189860274068895336136131964930', '141.49115800813606845632986912414', '142.15215300825990250072403633172', '142.5717027369730402605802462885', '142.77586706944602549455276535039', '143.52990192816679847853308102798', '143.95094570958264702857197846032', '144.70838094048356219267206168270', '145.34058322540573226609022340989', '145.80402232684086792269812621824', '145.94940700186511220963882857299', '146.65153608069033633691222452448', '147.0422869301373228998263357268', '147.84533754630529130500426153937', '148.146780413594840920203374560259', '148.88688817120905851483924551371', '149.45130057621987095528831591445', '149.7897474905679170777191343922', '150.62778715541406842463787663848', '150.94110166707525130044169268789', '151.95061433131846879754981952336', '152.27691566367287392457574266222', '152.69517805469141141430469782987', '152.98705986882764399870432614517', '153.39535019165310556839317345989', '154.15869448301773347816426904440', '154.59841478690942397737314341237', '154.929737358842007049115929118964', '155.55207724412014552407159882878', '156.15759708162871155432276629178', '156.876784613382567501750164048322', '157.28011510249557795873971224620', '157.71353405228985863780548130734', '158.64645177557088898743281334403', '158.96730314725429951560797360440', '159.53237858372817347211230198432', '159.86198697277713459219781545302', '160.6051050122416078809551910114', '161.08227819251423151369973194118', '161.45730065958196358257232981135', '161.98154562685267268408981435770', '162.742330018020111972512552423684', '162.97256331686341396581437873108', '163.687427193618764273556528804840', '164.223419152945954218425783580788', '164.75263902284455914282078945146', '165.020399259887287645254735324096', '165.52756998751828619954557485536', '165.82831357860052467052030090755', '166.5114972627481276110440128580', '167.50382722542772480003206709669', '168.07208606034335911510689331530', '168.61367266134766125598840552012', '169.09182592668137178211556936830', '169.417767611409070824161989452137', '169.96637647103051719178715072477', '170.37036346337996629991483890249', '171.00342728456267491353981769049', '171.63840688442720016383026602644', '171.965103539384857578245132198439', '172.35171116004475783835106091249', '172.74447650168487029344525508609', '173.56133486251445495548188140081', '174.08776928982213628970124893779', '174.64208757026325070196492826816', '175.00393410268754243676411457699', '175.73034333828837170021473270273', '176.1514867658524640225138564032', '176.90967839599600096542340712084', '177.28946016105278989956337745822', '177.70457427862591048386907827062', '178.130492098412952807429748867787', '179.1271202850920139729807244670', '179.25857986549190564357985422684', '179.9779386525169990873249440692', '180.600841649767247479461874416152', '180.96888441430635047103287982733', '181.33548648841793823751021132816', '181.83109328955486449134612365916', '182.11861005085219800659919826849', '182.90181771222047712102259054123', '183.28801597643170358580625531207', '183.976343834627472265633026441677', '184.37226254676893404908860089895', '184.97618756809899677072148416573', '185.62262614339795255248580359098', '186.30562142048357639428228209089', '186.871399323039358214099716266025', '187.44384247239820375334761045742', '187.62126717768570863120987496740', '188.20914819297462357493729038970', '188.7410806073719007765963543896', '189.14365701152575371047637966793', '189.26627403370044644628618026546', '190.34766952324129226856013434094', '190.80722788360009220160581126002', '191.34363388255763429020156099256', '191.827337145512105419092649190', '192.192231023459874200924820395500', '192.71698768674487074334868420579', '193.20346340349161333062436322391', '193.6941708032492074125776482267', '194.55618348010852771852591533201', '194.8173671228781782835138998062', '195.38752345627254662534226127232', '196.18610003047138396145574286919', '196.670061296502266583702325905984', '197.022769446706186745353218698513', '197.58914816764662665678370589282', '198.11021328203652795635125736698', '198.410813962659002303139970818', '199.37018733479494578841884580399', '199.49135453525502257581711824332', '199.7882435878056752422629784577'], 'prelabel': '1-6017-6017.1949-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 27.942830525881202, 'root_angle': -0.31092233635815497, 'root_number': '0.559684468636537497594231871007-0.828705795543289702042869402539*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'r0-0', 'st_group': 'mu(390)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.670255435320677734951314291272+0.0120070180801659518992858373183*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.507450359226', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '0.954004906851', 'prec': 47}, 'z3': {'__RealLiteral__': 0, 'data': '2.09479058333', 'prec': 44}}
• 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': 27.942830525881202, 'bad_primes': [11, 547], 'central_character': '6017.1949', 'conductor': 6017, 'conductor_radical': 6017, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/6017/1949'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': True, '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': '1-6017-6017.1949-r0-0-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-6017-6017.1949-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 27.942830525881202, 'root_angle': -0.15546116817907749, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.507450359226', 'prec': 47}}
• lfunc_instances •

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

  
  {'Lhash': 'dirichlet_L_6017.1949', 'Lhash_array': ['dirichlet_L_6017.1949'], 'label': '1-6017-6017.1949-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/6017/1949'}