-
lfunc_lfunctions • Show schema
Hide schema
{'Lhash': 'dirichlet_L_287.171', 'a10': [0.9781476007338057, -0.20791169081775934], 'a2': [-0.4067366430758002, -0.9135454576426009], 'a3': [0.25881904510252074, -0.9659258262890683], 'a4': [-0.6691306063588582, 0.7431448254773942], 'a5': [-0.20791169081775934, 0.9781476007338057], 'a6': [-0.9876883405951378, 0.15643446504023087], 'a7': [1.0, -2.8163065144692913e-30], 'a8': [0.9510565162951535, 0.30901699437494745], 'a9': [-0.8660254037844386, -0.5], 'algebraic': True, 'analytic_conductor': 1.3328223966973418, 'analytic_normalization': 0, 'bad_lfactors': [[7, [1]], [41, [1]]], 'bad_primes': [7, 41], 'central_character': '287.171', 'coeff_info': ['x^120 - 1', '0.998629534754574 + 0.0523359562429438*I', '\\\\zeta_{120}'], 'conductor': 287, 'conductor_radical': 287, 'conjugate': 'dirichlet_L_287.47', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^82', 'a^95', 'a^44', 'a^34', 'a^57', 0, 'a^6', 'a^70', 'a^116', 'a^71', 'a^19', 'a^87', 0, 'a^9', 'a^88', 'a^41', 'a^32', 'a^73', 'a^78', 0, 'a^33', 'a^52', 'a^101', 'a^68', 'a^49', 'a^45', 0, 'a^99', 'a^91', 'a^56', 'a^50', 'a^46', 'a^3', 0, 'a^114', 'a^64', 'a^35', 'a^62', 'a^40', 0, 0, 'a^42', 'a^115', 'a^104', 'a^14', 'a^97', 'a^63', 0, 'a^30', 'a^16', 'a^11', 'a^119', 'a^7', 'a^105', 0, 'a^48', 'a^61', 'a^92', 'a^53', 'a^118', 'a^18', 0, 'a^12', 'a^1', 'a^8', 'a^29', 'a^85', 'a^27', 0, 'a^51', 'a^76', 'a^110', 'a^26', 'a^43', 'a^117', 0, 'a^24', 'a^55', 'a^2', 'a^20', 0, 'a^60', 0, 'a^75', 'a^4', 'a^74', 'a^77', 'a^103', 'a^66', 0, 'a^96', 'a^31', 'a^59', 'a^107', 'a^25', 'a^69', 0, 'a^21', 'a^112'], 'euler_factors': [[1, 'a^82'], [1, 'a^95'], [1, 'a^34'], [0], [1, 'a^71'], [1, 'a^87'], [1, 'a^41'], [1, 'a^73'], [1, 'a^52'], [1, 'a^99'], [1, 'a^56'], [1, 'a^64'], [0], [1, 'a^42'], [1, 'a^97'], [1, 'a^119'], [1, 'a^92'], [1, 'a^118'], [1, 'a^29'], [1, 'a^51'], [1, 'a^110'], [1, 'a^55'], [1, 'a^60'], [1, 'a^103'], [1, 'a^69'], [1, 'a^113']], 'gamma_factors': [[0], []], 'index': 0, 'label': '1-287-287.171-r0-0-0', 'leading_term': '-0.109713780832996732685553147245-0.241936187080547478397482033369*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/287/171', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [-0.26565058314211254, 0.19902475749965162, 0.7525458602627579, 1.2362016628207657, 1.3616817698651333, 0.9965609918234095, 0.29916614518614776, -0.32869848811610275, -0.4709306365173211, -0.0003224033990504123, 0.7399938455411865, 1.047340158804063, 0.2702199205109092, -1.6937719469036048, -4.151269444092638, -5.862142374223826, -5.7265239222543896, -3.5197597683489077, -0.16954176995282216, 2.6929506543022725, 3.6952144497674917, 2.5852164789714913, 0.3795004865090426, -1.3533366096122108, -1.5963297209623701, -0.574585517119404, 0.49656441256311834, 0.4266934180137412, -0.96240953319063, -2.6759255376968536, -3.360895851271956, -2.4374244750752134, -0.595562171581481, 0.7822258263990943, 0.7951799746694732, -0.2233992233089941, -1.051179215916752, -0.7246778788990775, 0.5529597408488632, 1.6057250607895042, 1.436664327604049, 0.2602086354732906, -0.6240415895018033, -0.09627274314806393, 1.5406677557819106, 2.6135606645680105, 1.5631944281810874, -1.407774391950819, -4.120930194753791, -4.055226601744843, -0.5316642521715899, 4.490104903649509, 7.821442506983343, 7.526871117234945, 4.348646382538528, 0.8728121335994556, -0.7320360850580439, -0.33101912048264714, 0.5624961748991327, 0.5735325147289249, -0.22474412919518316, -0.7189461997823829, -0.26676006689790194, 0.4418025168717312, 0.16292162770449461, -1.3440088560144652, -2.7808231334070515, -2.5493590023125896, -0.5424455323998912, 1.4931640919647517, 1.601977931281537, -0.3256156659337725, -2.2970086531564124, -2.2020780053141764, -0.08275411712510934, 1.734113622459605, 0.9448950988111635, -2.2668852799191592, -5.200543824384067, -5.197170890252838, -2.2364092369509896, 1.0872834240053748, 2.181111046995329, 0.9457699291396703, -0.41017502109088955, 0.07422841531830653, 1.9905344052966973, 3.127125753365676, 2.007179250746368, -0.44500259429163314, -1.9163788940964055, -1.1980767869574698, 0.6387389513230349, 1.6097765208765724, 1.0469257674801722, 0.11086517043682093, 0.12119379877435943, 0.8524192246926665, 0.942097911434686, -0.09519566654853284, -0.8772651461374217, 0.27142258741657166, 2.827324829262713, 3.797413773102767, 0.5570693317596691, -5.99044064330819, -11.542246415312027, -12.123399594992971, -7.766267541754934, -2.3375870368574407, 0.28873361120342045, -0.31262930507785364, -1.493074504412507, -0.9223234699148902, 0.9612520756778757, 1.9771232305717605, 1.094207090571458, -0.4027577291233412, -0.7051567743669807, 0.20878911475243717, 0.6926500632309914, -0.24358058194497723, -1.4621679553672307, -1.0689630989106356, 1.0422807047475109, 2.773118572649924, 2.2650064340165192, 0.27505541972979786, -0.5711677533186532, 1.0693224957689544, 3.513815714490085, 3.9836562169491447, 1.981643150518765, -0.04259360939989436, 0.2917322176180392, 2.2094323036717927, 2.5298955437622754, -0.4127367693425937, -4.34944484428176, -5.266620262618867, -1.8728796035454542, 2.817692319417066, 4.668095511396743, 2.719303585609287, -0.22949209554825695, -1.1142527635434014, 0.14485849266393125, 1.264205161539434, 0.7983257118077746, -0.28874752304157014, -0.387667768831835, 0.3757061615257418, 0.4408803269631777, -0.7441021771206282, -1.680181730494609, -0.8085041467918571, 1.1217838469787766, 1.7640154884699515, 0.36942751897158616, -0.7739443737492256, 0.9659499861327477, 4.766149937958057, 6.445038037450681, 2.9929891942707405, -3.5890325848529043, -7.917619347724921, -6.7571933325534275, -2.182964162703472, 1.1209715810395877, 1.014392550500896, -0.5152462602874188, -0.6497922956822872, 0.6908252788311362, 1.397061360580715, 0.5506237895231706, -0.20981057965800742, 0.8538658319022816, 2.826695433707327, 3.0423739845886892, 0.5855888983507201, -2.288945411651977, -2.8182107124324087, -1.0397217603044866, 0.5502110859030652, 0.3925456910088903, -0.33093066989614817, 0.1646801822989874, 1.3626827858014545, 1.0702152840247185, -1.1150301341092614, -2.4912234964575246, -0.5120945029388577, 3.3298322145783565, 4.458050447355342, 0.5248660310386273, -5.339189686914386, -7.692695820444442, -4.838543677895161, -0.5155465805092598, 0.6984285218434363, -1.4807075891726271, -3.4566981977146747, -2.6116850212922715, -0.21093002081749748, 0.9060598058310294, 0.17255936121566018, -0.48287066396237804, 0.22043903217068028, 1.1771926755186564, 0.8698842119995582, -0.1874479603414299, -0.34941046844142176, 0.25402882404630756, -0.5796737437516029, -3.828537259518835, -6.933409193799232, -6.334478625212911, -2.1021640176274703, 1.566514588651052, 1.2062260034517338, -1.6944516842981243, -2.6630270276617733, -0.0017748321823321449, 3.108760925230571, 2.8575296219732906, -0.25187413427021593, -2.23754709601015, -0.963278864515477, 1.2362053112931168, 0.9793996813126056, -1.533360372667228, -2.9440906903796824, -1.4016719919080964, 1.0368108457400063, 1.3923598340594352, -0.22823472455403615, -1.1272412216187326, -0.019191583709932323, 1.2767134794343502, 0.7109044008423495, -0.9193101325423638, -1.1894898523005268, 0.3326294812448841, 1.486773302755732, 0.8237727646443385, -0.22444562250074102, 0.22623617372323673, 1.0494653390347146, -0.7412219040628015, -5.118572885232745, -7.439700708758041, -3.482565832322485, 4.7092068946126115, 10.07482624179979, 8.096566911184196, 1.6169417253497267, -2.8574178138144033, -2.469317911337622, -0.007115378307361861, 0.857631835329643, 0.02061728231487663, -0.3572850906825136, 0.17018200895589114, -0.1196772159848912, -1.8494063409948436, -3.0516060270012835, -1.9899974251733181, 0.020781520341291364, 0.33166716136979774, -1.1054769735007846, -1.5158006574571956, 0.5936690820696484, 2.9664520883652252, 2.631099621140122, 0.22247690365937053, -0.8359688125071273, 0.6065979483114298, 1.4620613243223712, -1.2386011451225363, -5.62508319496358, -6.865443351259381, -3.482375146434514, 0.5423536273424552, 0.9320747411234946, -1.4619209197562675, -2.348937346594784, -0.2386545335493883, 1.5681430537574261, -0.1301944456448262, -3.729625488151386, -4.891344994678988, -2.3117612784552906, 0.8562773561454299, 1.4974237573518137, 0.29759351614607343, -0.15767066873990082, 0.5801771401656654, 0.7416027988838144, -0.2872523476188852, -0.8911823006904804, -0.15892995500714413, 0.21049974123264742, -1.356518746696555, -2.9941214402577234, -1.3568430738638761, 3.071908575377493, 5.241267608963163, 1.6448489990424786, -4.515949973879019, -6.648438673269145, -2.817201352149918, 2.010038447594302, 2.4652023289781586, -0.7228450303486396, -2.6047049719100723, -0.972063077341846, 1.3260481659182406, 1.1376784535993258, -0.6604585708812969, -1.2030136096559567, -0.19033642352237978, 0.11904561976171682, -1.0147984247377353, -1.4519637372001686, 0.22844714101075325, 1.9655246424939588, 0.9812317027912882, -1.8907642309674826, -3.0462900041815213, -1.1775592788960443, 0.9210235686390003, 0.535515015502799, -1.1044534252337255, -1.0945469235318224, 0.3864442548273431, 0.41908346645861233, -1.546969236560231, -1.986731273569239, 1.5301397642384562, 5.604855310632726, 4.451203676399811, -2.308911167513104, -8.28372989897683, -7.819299246252287, -2.576827224379885, 1.3211160702868017, 1.1346845799523708, -0.28420150674942785, 0.20511109231703425, 1.6850240015140001, 1.577400784671446, 0.06901015559657828, -0.43686721063914347, 0.6076884852663429, 1.1475869087584543, 0.15100987347270525, -0.5715158804381247, 0.5081947350761856, 1.7522840323197437, 0.8207229352979984, -1.1967013453320803, -1.0451789282083752, 1.2105036611068536, 1.094683831925075, -4.121336532636383, -10.428947792302763, -11.185503023373114, -5.506890248937685, 0.511466741285975, 1.5309605374391915, -0.9418738339947632, -1.9848833336147553, -0.45226278073293386, 0.41925661819758314, -1.1544903866137766, -2.7081771265254644, -1.7769870752954096, -0.06415518488750122, -0.811814936354514, -3.5257823743115138, -4.395100282234295, -1.8753056023175143, 1.0717606379486262, 1.3514172540649132, -0.10193014792228883, -0.47970859067470945, 0.3529135120861667, 0.22088926747092422, -1.1195503340617716, -1.279452485786223, 0.5001444818321112, 1.3388116139011252, -0.9800495901321249, -3.8657988221550883, -3.212643883451502, -0.0008890652088565057, 0.1098158608408097, -5.212869640902091, -10.645600687394676, -9.502922804087143, -2.455941031752107, 3.3518696769195593, 3.4154352673300394, 0.6093355652199949, -0.10389658461624526, 1.5524365063557595, 2.227551252345858, 0.7429960528155097, -0.6341771809961704, -0.39811263411909703, 0.07560317039637462, -0.37129702665412195, -0.3079600508129744, 1.491660360373325, 2.937289957505219, 1.2100820431593906, -2.4181341743248357, -3.590476133163294, -1.0535763640886482, 1.2916673051151002, 0.06585017894404496, -2.588795075256778, -2.458836829907627, 0.03365394573271801, 0.3767709458887153, -2.804783458668639, -5.031832241705386, -2.367862641939174, 2.508753201907076, 3.8421547600769994, 0.8236207618014003, -1.7289019170507025, -0.6964673841682545, 1.195730415051477, 0.2200152852996749, -2.5090711958273904, -3.0884747948027016, -1.0242638584442938, 0.2700391543546365, -0.9613866889557916, -2.2700125538145315, -1.2236258942754057, 0.7540820430471853, 0.9674924357369465, -0.20908563159177704, -0.4310583787480885, 0.34590298611608533, 0.03933514310617193, -1.2253615660496264, -0.6668252837088211, 1.8625118842460222, 1.635162286067188, -4.671500007264743, -12.4961848226887, -13.438209943954062, -5.807138247059288, 2.7776760043382724, 4.743787051618534, 1.177189712432713, -1.4610575384714624, -0.5219759031944611, 0.9272626271371522, 0.42305697215260796, -0.25784617938475035, 0.9204359643426973, 2.341753495119382, 1.5502630651594322, -0.3378458322040546, -0.33537541059112796, 1.3966823140977693, 1.7356055689543544, -0.17773969756410898, -1.4190255193384467, -0.180728904157884, 1.0208727404728222, -0.5707607922975405, -3.104626162780847, -2.726669975539408, 0.2377616503946924, 1.6545202629059028, 0.2675096317474439, -0.10576465853358155, 3.1450446051585605, 6.552116127729172, 5.3782581570854, 1.0423598887367276, -0.658196238932333, 1.7189331027584929, 2.9581960951126924, -0.8884518313443531, -6.272258759410025, -7.000354284482445, -2.785939535839133, 0.9919423810764374, 1.0688303604859006, -0.3291646089045076, -0.34679694057809785, 0.2567925428472252, -0.2939510189620975, -1.0592183733671683, -0.24795093292950493, 1.100645460775266, 0.6870047907043291, -0.7392401395484872, -0.3157908002246817, 1.63934425385312, 1.240747946955775, -2.6019137869443316, -5.1852668508166495, -2.4264900036899597, 2.442470432096255, 2.861762038593559, -1.4710415533555756, -3.8256580337946775, -0.0814031331439102, 5.385101637127646, 6.084381413436556, 2.223185584688725, -0.7674729056747893, -0.5052192949244956, 0.20469321081828815, -0.7261658167929362, -1.3699917564142214, -0.04341586554560392, 1.051935311305839, -0.5341072702587921, -2.8459761190807544, -2.190819848925466, 0.8726633814888733, 2.1315523547107147, 0.1432753165905161, -1.8343814090411752, -1.2687366379392966, 0.002858844068582701, -0.3886735506170762, -1.1208822012824604, -0.0037664518466746497, 1.4010258972234384, 0.2829650646146394, -1.3560669863596082, 1.7741850010646396, 9.65807084016273, 14.709275989385766, 11.111330565504481, 2.9658034083958107, -0.9753094724552507, 1.3447453479426696, 3.9801303448455285, 2.4802872418631954, -0.538761767026374, -0.9110049553297738, 0.5584894278853832, 0.49328918913513325, -1.0876552466008156, -1.3719876018646955, 0.010947462189557923, 0.5454902695354348, -0.49318974209233507, -0.8946486995584201, 0.13971989254649098, 0.32419049869903327, -1.236544594264969, -1.4782703861584396, 1.6793220397472817, 4.652592109526801, 2.6707790860182294, -2.5313177391061985, -4.355945916632117, -0.8447991367240234, 2.3944011369431277, 0.6060783600377746, -3.261595504158113, -3.6406630321231805, -0.8983854330805736, 0.08669681009727573, -1.690266017488094, -1.9554922136620978, 1.3108317078087814, 4.146283599872233, 2.836830540899409, -0.21723733367985398, -0.4792023181156802, 1.6587827340511905, 2.0969387158844195, -0.0807454197893869, -1.536874429970064, -0.5232093487851937, 0.6379024616074387, 0.1514768026415577, -0.18275746983090027, 1.2114156792987105, 2.214841676544081, 0.5790053579286739, -1.6445593668226042, -1.1947508018785569, 0.6484047380892097, 0.19192395566771706, -1.32718094407824, 1.834958493520024, 10.446891649969878, 16.49048436973648, 12.797629696440218, 3.033687757928545, -2.835428068181777, -1.2180424941673786, 2.2677273421490547, 2.2702706818529825, 0.2885550740328357, -0.019103176815674736, 0.9008051948917764, 0.5684459947081445, -0.5046688255460643, -0.15870591432538186, 0.8856793704500203, 0.23468545863301501, -1.2259991716080418, -0.09775201936208448, 3.4921656954231977, 5.071750090873489, 2.5077690705641893, -0.5959133277160583, -0.6302164017532267, 0.6248579748439379, -0.06106034211766466, -1.1022431847757521, 1.2548597263908199, 5.536097984156675, 6.044147451533532, 1.7578169953840506, -1.356915268692553, 0.7836626978695178, 4.110667794494944, 2.85947124672854, -1.4754846476190062, -2.8323360437232097, -0.18099722145640937, 1.4505209691341059, -0.4845493317773353, -2.2580384401936384, -0.5005598571547772, 2.2645736165456354], 'positive_zeros': ['0.18305217346598808751040019197', '2.00622056147039777765786945678', '2.81264349464204494211376253067', '3.8052447993067846299282054195', '5.64068105374714593475412839435', '6.92973600332364691187763239542', '7.95671366191927154650991946775', '8.56130328811808428742573447853', '10.10794594543023878916201334293', '10.87731889658584103735816307456', '11.751775999900016312843685463488', '12.87803403975400043480198705456', '13.46026465669837757643732645020', '14.55299388824674942142810508194', '15.659165497571732171382759833681', '17.30375282243148644819871711968', '17.91620972177448783157676502913', '18.66980679334659882069193795605', '19.47677968936799149594054263121', '20.046504782660543163646554494678', '21.32081087018997095418472423108', '22.144565826638977270348033651725', '23.135553395263000825712626816472', '23.85873702753199977635173498772', '25.1953021244193283057373162405', '26.12053904825650561620892167211', '26.54645040114329912077122318370', '27.75508628409524692832818759220', '28.64039521518837511103171844794', '29.76683593957291804756997349304', '29.91059985723168508189654768513', '30.91391362825089863592486118816', '31.52177214141910935288458883620', '32.53117979495063489214524457104', '34.29889578670284941439766237463', '34.61457211738526286517910205180', '35.47114834321723769187055207978', '36.465156496796502019265438191171', '37.124957281428275295476756534899', '37.75720686758596844471075226808', '38.61184542940661697141124191227', '39.73663934882558294758920137340', '40.160244412686926922272260288812', '41.55024619272495026047332125029', '41.80694466738171570655954169854', '42.780600675765423430037589430639', '43.86818626172022564226300743357', '44.96942678194492068285943790780', '45.5969816479704781581961786211', '46.465143362822067031681358523091', '47.040089427248110237214303461840', '47.643160746986949453587598085036', '48.56815342188053604382131041324', '49.43987750345335996063678004372', '49.89286762247474361262436666929', '51.083516339948639912357771062025', '52.356084317420883398767954917352', '53.009778906184699819164276858212', '53.60362062248035191368363867254', '54.53472146059403467519373188321', '54.82017753975999860001484773641', '55.99388374355143888855667582384', '57.04291420289280316829090228923', '57.641317915500811731129484841831', '58.07802902839726160232481114342', '58.91945427346441069445888835217', '59.73084530902274420048024562052', '60.65276127906354266449543514621', '61.929584826294126156406581447206', '62.323248358724361919738378780613', '63.46961924486941995140751773952', '64.11353070475842917756107605638', '64.62583717292015998878229600172', '65.56129743210905951568448148014', '66.105189843992943901618602338521', '66.454899020568671661534934991516', '67.95998905913983706964036690963', '68.57332482175185886450822263989', '69.375150565798244630934134274490', '70.28857328818131397850913944180', '71.05821196238396257335852685760', '71.69764293155507014567941195243', '72.66476054388322395053973836740', '73.39735190142813114176246906165', '74.06608732103722352761680319950', '74.82077413446629390990349224265', '75.567267207166378050260565288580', '76.46210608750790535293439902827', '76.806486249241955328987859322494', '77.426645640057217416633625993339', '78.57595602640735858036334926512', '79.77065889250366693232187690830', '80.6260916902914893586488387986', '81.25697116587978211128073710426', '81.77778609305997594360610733390', '82.15203092562381333947948779845', '83.43318269988397360925380732051', '83.84041088023734865020733299877', '84.62099241801997421612342589074', '85.656569981013561817358895962443', '86.14954029268478990241338577783', '86.77580107521880927178199461491', '88.06750510133005837429306987388', '88.57233662350781170897020649547', '89.40250384775876909503815842204', '89.98763158174920763566671183064', '91.14678477787335719061162186835', '91.96776905732481777648058691582', '92.280307026681574210553396595072', '93.04981671677020677575675789109', '93.80317051901348802823021394516', '94.139164545145185010869812971047', '95.10397871751147445958947341403', '96.01964225932447146353332019496', '97.0371621389117995880669668380', '97.747517407118887260317993755559', '98.549588878498811149827585852246', '99.25827445680799352057942732214', '100.0628007555428618182316101751', '100.36385072113460000675538633710', '101.21861965269409552011256061575', '101.98636307492625852633871077359', '102.9572268525998937237137962068', '103.53585639524639522981883770111', '104.28961369483808667858610632339', '104.77012789634712408058744358038', '105.52033978425872096102187445574', '106.46881108491873376561179913905', '107.66699942243319393281561098466', '108.348330060267937030049514442850', '108.70272304604148616046565405907', '109.70353215155231582035471213074', '110.15847564294243650534347156078', '110.97461253424112958778914093021', '111.461098215519329404221245983949', '112.30599363195200016884305776638', '112.96317230655384833335814496012', '113.53245038187885840875621761711', '114.962221234807672941485944935660', '115.5147854535717619605192490137', '116.33429425116073883142713813161', '116.69158742986379854244265883123', '117.841077385661596637260013933442', '117.95110015641512634575343587454', '119.23837049644621326540900392730', '119.97579589201625118055322757526', '120.49638373878383757029116525147', '120.99806098863457502265057357440', '121.79802526220850181221058650734', '122.40460728554237661976539643769', '123.43760563904381691978466823713', '123.76141661901031939027545824079', '125.10486320718488442630809584023', '126.04136086633386176721174905067', '126.28111401652755016505651714385', '127.317845725884238915956785881429', '128.00920370038420876337618188967', '128.233209604803952428910558471911', '128.82796298719903500232854052788', '129.79222675120327952555186037077', '130.72884054084351549527583698535', '131.25749936161767798399209400849', '132.18267558044176039658653608486', '132.55554745773447498684514981632', '133.58251898680011240116994422092', '134.44643831091936238954617209956', '135.093249452748264034958095512795', '135.6517844997747311234106777111', '136.73409291741602858393306864567', '137.004159175942805300381780906821', '137.990674038995138061669314422789', '138.691206698417044511315653749225', '139.23237232033054000773680708845', '139.69804833151036599443377935402', '140.402432211044836898462477999351', '141.050647373921631726434362917551', '142.38016863787773403785710801118', '143.22147183767384654320530573578', '143.83554586912048863829317177097', '144.49851544684289375773495160741', '144.81315687085933882198362135436', '145.86858204797234509299191984191', '146.320426095487718952858540133425', '147.16239525924891834652754857609', '147.84246814861976090744434141331', '148.3688812455870895667160689747', '149.34974193135331866145587928030', '150.052854314795160964928227716359', '150.33267693252370598857330170631', '151.6603288674024784127545014020', '151.999978941232352725949891063160', '152.76278289603217925014331396902', '153.94856239289359550648173942069', '154.59755887720557163802320569352', '155.14404147707726766559689592235', '155.5289170415589069804956230358', '156.299676539136697303585799142739', '157.01343185661355285659523602364', '157.5538666044992114296213471868', '158.246076813104045641210824278185', '159.20686765938611585405701063268', '159.9050166934029704664414882078', '160.62931117846665247189137894442', '161.75301771279794330577977381679', '162.33584847846292605989546000219', '162.6220895142960729240621587685', '163.444958589560951958087500093433', '163.99605263956051498710262906327', '164.91149430709098725918097010897', '165.64160202923444981532364156673', '166.56093045322668175174101126831', '166.732332620622275521458394429644', '167.500635727359197139416617693560', '168.163950745132366315157143569054', '168.64509098172846529315593257393', '170.1635859368514868474140170558', '170.504440230777527760535616753438', '171.49237879986224650852654005047', '172.063977170409489992185856804995', '172.60461829465633082020066547596', '173.43504443498220278932006737112', '173.93628444214257245011686816758', '174.648758066809927672203576120726', '175.08496896128882794723538447920', '175.80220730416696678200979096718', '176.72263990490121395730569416711', '177.558129370691904650492660736106', '178.17191034165523407455356141954', '179.20595365456438273857345543680', '179.40272630145531986047189579243', '180.209230744920066349901792893459', '181.22049807884471365752297413114', '181.64366431907134975686638223002', '182.48980190037516877530678748150', '183.22789458152055397795748409431', '183.804742574106591594602032523278', '184.13301161638358710105829472654', '185.06821117128275582692014320066', '185.80943750089144144830118111412', '186.281969090023590064359002717143', '186.770301380520168707040866825210', '188.23949703243068836745495944979', '188.8450329641385138040689188348', '189.76063529850532152064823896636', '190.00769894288252370789282963655', '190.77186350665216539426100905338', '191.29210909564239923052636357411', '191.91931357243459829628617281034', '192.510406677359183267222743851702', '193.66641387473676988369889117660', '194.196684448313611402327730247165', '194.67528280080457746087025961249', '195.20524253036823034393377328474', '196.373268115234880788614428889136', '196.80964590469651418209025682440', '197.7026763466765223914052244058', '198.45605257256077182418758091824', '199.007487833352971179188245206186', '199.73698742571271985261391758030'], 'prelabel': '1-287-287.171-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3328223966973418, 'root_angle': 0.7289616525790332, 'root_number': '-0.658861440346406305001863519310+0.752264316862536612236980852867*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.36448082629', 'prec': 44}, 'spectral_label': 'r0-0', 'st_group': 'mu(120)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.461112843313271100600037707925-0.371522946761855464295876282509*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.183052173466', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '2.00622056147', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '2.81264349464', 'prec': 44}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 1.3328223966973418, 'bad_primes': [7, 41], 'central_character': '287.171', 'conductor': 287, 'conductor_radical': 287, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/287/171'], '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': '1-287-287.171-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': '1-287-287.171-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3328223966973418, 'root_angle': 0.3644808262895166, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.183052173466', 'prec': 47}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': 'dirichlet_L_287.171', 'Lhash_array': ['dirichlet_L_287.171'], 'label': '1-287-287.171-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/287/171'}