-
lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_9.2', 'a10': [1.0, 0.0], 'a2': [0.5, 0.8660254037844386], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [-0.5, 0.8660254037844386], 'a5': [0.5, -0.8660254037844386], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [-0.5, -0.8660254037844386], 'a8': [-1.0, -1.4081532572346456e-30], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 0.9671843231516252, 'analytic_normalization': 0, 'bad_lfactors': [[3, [1]]], 'bad_primes': [3], 'central_character': '9.2', 'coeff_info': ['x^6 - 1', '0.500000000000000 + 0.866025403784439*I', '\\\\zeta_{6}'], 'conductor': 9, 'conductor_radical': 3, 'conjugate': 'dirichlet_L_9.5', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^1', 0, 'a^2', 'a^5', 0, 'a^4', 'a^3', 0, 'a^0', 'a^1', 0, 'a^2', 'a^5', 0, 'a^4', 'a^3', 0, 'a^0', 'a^1', 0, 'a^2', 'a^5', 0, 'a^4', 'a^3', 0, 'a^0', 'a^1', 0, 'a^2', 'a^5', 0, 'a^4', 'a^3', 0, 'a^0', 'a^1', 0, 'a^2', 'a^5', 0, 'a^4', 'a^3', 0, 'a^0', 'a^1', 0, 'a^2', 'a^5', 0, 'a^4', 'a^3', 0, 'a^0', 'a^1', 0, 'a^2', 'a^5', 0, 'a^4', 'a^3', 0, 'a^0', 'a^1', 0, 'a^2', 'a^5', 0, 'a^4', 'a^3', 0, 'a^0', 'a^1', 0, 'a^2', 'a^5', 0, 'a^4', 'a^3', 0, 'a^0', 'a^1', 0, 'a^2', 'a^5', 0, 'a^4', 'a^3', 0, 'a^0', 'a^1', 0, 'a^2', 'a^5', 0, 'a^4', 'a^3', 0, 'a^0'], 'euler_factors': [[1, 'a^1'], [0], [1, 'a^5'], [1, 'a^4'], [1, 'a^1'], [1, 'a^2'], [1, 'a^3'], [1, 'a^0'], [1, 'a^5'], [1, 'a^1'], [1, 'a^2'], [1, 'a^0'], [1, 'a^5'], [1, 'a^4'], [1, 'a^1'], [1, 'a^3'], [1, 'a^5'], [1, 'a^4'], [1, 'a^2'], [1, 'a^3'], [1, 'a^0'], [1, 'a^4'], [1, 'a^1'], [1, 'a^3'], [1, 'a^4'], [1, 'a^1']], 'gamma_factors': [[1], []], 'index': 0, 'label': '1-3e2-9.2-r1-0-0', 'leading_term': '1.11394694379552235758661174885+0.519441990670207870228443422122*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [1], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/9/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [1.2291044606797312, 1.3170432509402001, 1.4443439552185393, 1.6025429938456635, 1.7755081612714179, 1.9427460665790748, 2.0816787891676105, 2.169342596797978, 2.1842034633877887, 2.108403424378711, 1.9303763036992283, 1.6475236047322057, 1.26849349878773, 0.8145378491318246, 0.3194378476743101, -0.1723997383078018, -0.6098605152459395, -0.9409343938649445, -1.1199356872107415, -1.1152725650768935, -0.9165971557435014, -0.5399985168959587, -0.029942674200867284, 0.5430377148561215, 1.0893430286008747, 1.5116658434591674, 1.7195071139917457, 1.6448245131365122, 1.2561954765486634, 0.5686859142040865, -0.35305220407494886, -1.4000393722631375, -2.432795603555766, -3.3022955477594884, -3.874980045339223, -4.0574984520773665, -3.8163164775992735, -3.1877364872517413, -2.2753039506386434, -1.2338558231683547, -0.2422205766683507, 0.5307506327898258, 0.9601809458958236, 0.9918525011575645, 0.6551350178796482, 0.058206612267710615, -0.6346855730958221, -1.2400097921427546, -1.5981835354288088, -1.6134292693212122, -1.2803643967755345, -0.6898146115466037, -0.01082972618549417, 0.5484235763615625, 0.7926460412408607, 0.5920265898481162, -0.07795325743018197, -1.1208102920388074, -2.3333991599509676, -3.4488830005005418, -4.199279201901076, -4.382652495089571, -3.9176776468448478, -2.87042185554822, -1.444606158334494, 0.06411683494047299, 1.3395344713949253, 2.123950747494169, 2.2839192099023364, 1.8442021492913137, 0.9795321081300881, -0.03479008470305222, -0.9006169650909805, -1.3814348173150817, -1.3691991791110918, -0.9133778960023238, -0.20257456109790176, 0.4969138263624735, 0.9278750455631234, 0.9279587204641804, 0.48724661823887605, -0.24197115189889332, -0.9885738364873784, -1.4477692335916519, -1.3826089396075272, -0.7097350097844444, 0.45949562827156176, 1.8385629589696353, 3.043310868518833, 3.705792101948287, 3.5898059781707845, 2.6711302324209423, 1.1550548796766895, -0.5770978454974149, -2.0780537030544286, -2.9678423889044265, -3.0480453338101317, -2.3597653790449864, -1.1655966049087219, 0.13934514367763068, 1.1583999794954711, 1.622680600427182, 1.4748890668290071, 0.8787967708168992, 0.15102827268129213, -0.3608595110310917, -0.41043315188969237, 0.053512844607407684, 0.8661553001465715, 1.708469837278876, 2.2306625110363973, 2.1924729510180883, 1.5675712892022426, 0.5705497316008475, -0.4077189162982545, -0.9367579072677278, -0.7075571410750688, 0.341100378111671, 1.9800709430990082, 3.751123473383008, 5.1144175709764195, 5.631841609132272, 5.120682924154643, 3.720862058702351, 1.8492630122682927, 0.05583695318801745, -1.1670932451421758, -1.5526598931141293, -1.1425040535064361, -0.25463017811882593, 0.6507169368398358, 1.1547559841728208, 1.0417358303180868, 0.37519946923408043, -0.5405734558621078, -1.2975667886654536, -1.5630627356600462, -1.2264364968924917, -0.4515542558890694, 0.3894004324701908, 0.8758255786067068, 0.7272735774155616, -0.05881515954554177, -1.1815335493610493, -2.1398869815913484, -2.4286034795351994, -1.7495406043777029, -0.15184440801271382, 1.9603583975661192, 3.9619831337760836, 5.234267359656966, 5.397155469886477, 4.454005866608183, 2.7892604651441992, 1.0183615530608006, -0.25069201140863323, -0.6482130739777385, -0.17294931474482556, 0.8301019407449065, 1.832240140811527, 2.353215880646303, 2.163263033712961, 1.3689241857559324, 0.34748183022771706, -0.43869352203402623, -0.6633529598448343, -0.292329713453661, 0.3980370567333143, 0.9507937750568041, 0.9496526526097695, 0.23111241443788905, -1.012319727267302, -2.2913098472924713, -3.0225504629961244, -2.7900900595985196, -1.5494967455394417, 0.3201925701964235, 2.1476298569625794, 3.2339554539668436, 3.1407658873045157, 1.8770679081840385, -0.09788184876172777, -2.0600445232052347, -3.3162686556884116, -3.4831451953284573, -2.629002686550114, -1.219504098750431, 0.10532024650832385, 0.8198399487716114, 0.7363240728177407, 0.06366078126004865, -0.7209976736459103, -1.1226101572792746, -0.8787962308006567, -0.08938855163447268, 0.8378138988571886, 1.3989030148159864, 1.2596409584575101, 0.44292101212510115, -0.6591137891108362, -1.4617931483957558, -1.4742748675432997, -0.5590810717478477, 0.9645646434561767, 2.4328826986510386, 3.1230422881864683, 2.584963543026879, 0.865206271114016, -1.4858382652666735, -3.633849039050202, -4.812141793277774, -4.646408855041554, -3.3046795919932115, -1.4048857704208835, 0.2747827491039222, 1.145764003933423, 1.0555698020875135, 0.31858016389974825, -0.4760132574469227, -0.7786506376583954, -0.35800828394662526, 0.5939182541934963, 1.5791521977252467, 2.0694147017595244, 1.7954294776271, 0.897796501485683, -0.1421180472244254, -0.759267668947641, -0.6186621127212785, 0.1793932634504644, 1.1169956313572846, 1.5021281605504662, 0.8236871170513499, -0.959001492794046, -3.343919064046472, -5.479678733293323, -6.541263519083992, -6.111051543274709, -4.379978187399715, -2.067725854393558, -0.09673867192061195, 0.8245184988884474, 0.5088897286499554, -0.6574124962021834, -1.9370953891401186, -2.6217561785218217, -2.376679384050211, -1.3795211713869555, -0.19049938435904623, 0.5691050315730815, 0.5555127336235784, -0.12223005786373058, -0.9811423643145795, -1.451007233733619, -1.209729989660838, -0.3804800253227782, 0.5230583095796405, 0.8805992485993057, 0.32827838559628225, -0.9985652240898402, -2.4847166870954784, -3.3219306471169987, -2.9241468525912127, -1.2564922941061336, 1.1003371972156832, 3.1967176372293302, 4.157462726506894, 3.6022668713274646, 1.8302801342322081, -0.3266714977426296, -1.9092319195344056, -2.289077769714831, -1.4498443148940745, 0.046767455491290424, 1.38224351062193, 1.9139242423480265, 1.4893424645729765, 0.4814185672965009, -0.462429272130374, -0.8089636523328068, -0.4450152263939148, 0.27013443917177715, 0.7322194424027627, 0.4666442241728333, -0.5673915236492071, -1.9236911081476298, -2.9066260093589547, -2.9727384652624407, -2.0703834470297577, -0.7172002173960066, 0.24478326416563526, 0.09737233085495438, -1.3407911575640479, -3.566317599627858, -5.6021372523777835, -6.469506466687138, -5.679049736626777, -3.4829866057181476, -0.7537894664393083, 1.4482986336676464, 2.39162703482899, 2.0034571664091967, 0.8472926396068345, -0.22750675310887974, -0.5627214378562811, -0.03087381560055842, 0.9427970096777467, 1.673846828221929, 1.6476527699558687, 0.8310078191869454, -0.31400238525018764, -1.1179782611657865, -1.1200645070216328, -0.36086415958158513, 0.6283444084406931, 1.1427947573799753, 0.7468070941007877, -0.42111684438020325, -1.6729004032816728, -2.131124884271916, -1.233841447252294, 0.9007163094061497, 3.467055845138338, 5.346237108435391, 5.66989409335506, 4.271538410421645, 1.777580201275347, -0.7147367348571282, -2.1989599418484627, -2.2562508464368065, -1.2217329448032692, 0.05881751654767818, 0.7325846139511489, 0.41335862728034944, -0.6390630699056052, -1.7218674190022145, -2.139695545611528, -1.6275198707640373, -0.49450140683501487, 0.59052953871226, 1.0336390730913563, 0.6986856851516573, -0.002023339115326034, -0.37176215118102307, 0.10861758750514447, 1.4054756027041242, 2.8858771074353284, 3.6495004693002633, 3.0589716242081404, 1.1587826393017333, -1.2758484061108015, -3.11127890312362, -3.454575375058088, -2.145790161427686, 0.13890600906764683, 2.2392411797301075, 3.126048584255549, 2.4374988059046028, 0.6398252208698044, -1.2683025164243624, -2.3282246499737838, -2.137617087441317, -1.01989325405032, 0.23339376820355662, 0.8743622412732904, 0.6476132267159425, -0.09247561184930167, -0.6545695232310424, -0.4898633048166765, 0.4312234319461893, 1.5874750590245708, 2.2438283052057804, 1.9447114323890045, 0.846392502163374, -0.33592054651559916, -0.752884721877355, 0.032901888348907525, 1.7191202963677679, 3.3744065365267755, 3.9469704702472965, 2.8845870142854246, 0.4990566561594799, -2.152636908942672, -3.818197058521732, -3.7233127814100047, -1.9838279074887735, 0.47806736158134755, 2.45970356060157, 3.135930556659878, 2.468709058299611, 1.143495569324834, 0.09395881876931653, -0.08070712469879307, 0.551188572586959, 1.361369537451996, 1.6211572449958174, 1.0064815497661577, -0.1796638355653531, -1.2084616304730609, -1.4154891794942084, -0.6559789500939076, 0.5798227258107788, 1.4787969166575237, 1.453045756920051, 0.569837824263476, -0.42905101483507896, -0.5581544403148015, 0.7797116239501372, 3.3510542494777016, 6.129929773495697, 7.821716713179246, 7.578236306729565, 5.483547728401344, 2.5179808134057873, 0.01640269111553381, -1.0616670434483124, -0.6223178317687583, 0.590960370846383, 1.506823130318144, 1.391810187296771, 0.26383946780547507, -1.1851978374446217, -2.0833524005043325, -1.9567047650813691, -1.0179262139215082, 0.010519243792009244, 0.40725081989154693, -0.05157203305496828, -0.9455804596095236, -1.5140570658749752, -1.2080182432086515, -0.11579035182459535, 1.0383946719522774, 1.3460760924104695, 0.33740420203882426, -1.6331355223613921, -3.5119101983673096, -4.136745732280257, -2.944330339330314, -0.3548587475054683, 2.419754063312575, 4.046160627694004, 3.8222130561076266, 2.059874194441446, -0.1292888885638066, -1.5079583800615837, -1.4298998212097556, -0.1664754398109795, 1.33778484013822, 2.1014017461507053, 1.7170457259091383, 0.5536909089937584, -0.5566053041889814, -0.9156144698353366, -0.4297785876269071, 0.3587797621899448, 0.691506414967125, 0.16598148182133565, -0.9408017436774053, -1.8330916587073718, -1.7446674081862492, -0.5058636785255242, 1.267949477571188, 2.522155068463255, 2.441853199950475, 1.0266712358163124, -0.8296177277697365, -1.8380269716686182, -1.1006776904779592, 1.3044084774215503, 4.316359917804566, 6.481755943084959, 6.786304047325736, 5.219173501408057, 2.730098963974669, 0.6220296085909021, -0.22721739644903083, 0.17359469959031368, 1.0537211012197807, 1.4751162819223054, 0.9831149235074328, -0.11912381756856295, -1.036882774633469, -1.0851671899944415, -0.19633949289221028, 1.021746514110137, 1.7163101064122697, 1.4048683694362143, 0.3372210530121405, -0.6637311820212338, -0.7891838709944761, 0.13992677782102303, 1.4668877128224354, 2.0767249223411857, 1.1358561499744446, -1.2885644713856237, -4.156814507693445, -6.014635580956572, -5.851092539645772, -3.718918109382933, -0.7195598437218694, 1.644232723471765, 2.3431943450900494, 1.3774475196020988, -0.32092754266683954, -1.5487097722692726, -1.6085160158255034, -0.6976670256734004, 0.3203677826997499, 0.5735542683976823, -0.19910300221219768, -1.4883311089805418, -2.4072297585886275, -2.3412822652645433, -1.3866528429588048, -0.263621645296707, 0.23160461228628534, -0.1597666732720257, -0.931970848648538, -1.158538019899782, -0.18547222511426545, 1.811006470777049, 3.8168984198344327, 4.5723705800413725, 3.3960186203570446, 0.6933491491104817, -2.2113959250379733, -3.8419460331691866, -3.457212658410996, -1.4906177828746712, 0.741852929742921, 1.874087402167051, 1.3233822597182605, -0.40575774840248263, -2.120784326181817, -2.7520723781816505, -2.025212020598354, -0.5597449329154913, 0.6364107688452665, 0.8962285988539518, 0.3289451460341269, -0.3302948355392117, -0.324104524212746, 0.5245360933082683, 1.6581812713359252, 2.197389474951598, 1.6210732658311309, 0.210732990822302, -1.0879857645218072, -1.318221436959329, -0.23049927420902153, 1.4541255149330221, 2.4592836798608504, 1.7995729126255076, -0.5058490319692956, -3.3517961971889854, -5.184853593277824, -4.962687288201201, -2.8109830913991245, 0.05429529979232394, 2.0878726449794214, 2.3582627826674045, 1.0604743833126298, -0.714548714612987, -1.7639749806226404, -1.5600385124206797, -0.5133702379093179, 0.4307019005452816, 0.5379652519503654, -0.17684911446444757, -0.9999149265650367, -1.0984594994558032, -0.18678440019577935, 1.2250868524487188, 2.1927853146781615, 2.047187117907732, 0.9232461424300172, -0.3019691155893591, -0.6458786646787641, 0.21407360798353964, 1.6108800685795754, 2.270852210884617, 1.1831638273426692, -1.6323330249261891, -5.006724964160998, -7.272522445915422, -7.2767255410867175, -5.091920199796806, -1.954085436161131, 0.5278845612163044, 1.3604752152357773, 0.700062486627622, -0.3946289023197524, -0.7813174727090777, -0.03475681374689948, 1.3195622855880278, 2.266058826340718, 2.0858013082382816, 0.8839763975599745, -0.5173881854674419, -1.2202104677250694, -0.9305742044237725, -0.16181457671626134, 0.19374809294078607, -0.40050090827375084, -1.6496764224231797, -2.5945565065249854, -2.329078686103382, -0.750868047523469, 1.227643674617392, 2.2115723666248943, 1.2668737692626553, -1.3769179846834132, -4.378160461134725, -6.091986747713026, -5.610688600122103, -3.336771473478223, -0.7011709053852391, 0.7786623615135637, 0.4591403610611087, -1.09226636533644, -2.5815711374886137, -2.9230407681423967, -1.9577682655966633, -0.471270925929398, 0.45729828339323, 0.2667074526570732, -0.7140156059086891, -1.5849682528418907, -1.6157313781449658, -0.8261075526873216, 0.042147728737544306, 0.14084981695605583, -0.7599212692252748, -2.012111445917809, -2.526394162962208, -1.6054327013089233, 0.4486870585908083, 2.4385443567959477, 3.062984599435454, 1.856383014018017], 'positive_zeros': ['4.57573576242485587483690886648', '6.89180300406244509022667855056', '9.262408964681987903208968444344', '12.586494690151173034212579462720', '14.08927896436677198005366627039', '16.2551781515321363983903806222', '17.47183618509653816175409815785', '20.29865916653771873113403507250', '22.1765179023783446952084486311', '23.83477567755688274260462694769', '25.21569578513310088903785578470', '26.763428341842772681883211365481', '28.9577216343121731590172682939', '30.90230473712494219306650729593', '32.573271591370362790797457866918', '33.412433807129446974963822755490', '35.48489755956410935564836049716', '36.48187828065801756344300334031', '39.07364690643271231694332487226', '40.3943285623758754227281525746', '41.693019157648402269033143994997', '43.28558880343466646432456708351', '44.35691248613978483473807819478', '45.96161983593313488222891071970', '48.3575107148706247398265274126', '49.12462389707349694633370251732', '51.05559702793824550367482373838', '52.01373999822966631414731639181', '53.19079368446932219914896676778', '54.949279365587537969957647481293', '56.547915404657334579808870046575', '58.40795495445708809972901402741', '59.39917751270168254602277550347', '60.654425727916535433879238082120', '62.001408873751678647804551313518', '63.248082261603676835547231416806', '64.806755451146308378604812400320', '66.81458874455727084362794809756', '67.927314447276813744342734392236', '68.880786836186295538996100561307', '70.577985599331870178291912423125', '71.50418592262906912705538041934', '72.66496238665625869549639316135', '75.02026853805999321423846430555', '75.77866483519032949326542604820', '77.55843550140386627031952410179', '78.39267903162869007019302886275', '79.80976221203688578965879967060', '80.71651474233078396843094126925', '82.357894541344566925580769683054', '84.01294312823359008715055617100', '85.30309765297889472084286860797', '86.70624131053022024257478369823', '87.6961857752335126212717462391', '88.60190046457568675909230182197', '90.51363086716952684681951196036', '90.97153863870966923740676719786', '93.21797927883571837907342511083', '94.60618100343783061654395523715', '95.32362568592142000893791272226', '96.787673955369187400158915628210', '97.92308874449021235491739352594', '98.963227824660554017264250948659', '100.19610398848587296578607746403', '102.08920391262840215216185227157', '103.42093512243415374512093564568', '104.20142375622963818083566378817', '105.75402330352268173498601319285', '106.87403202317055856265547690245', '107.46210736760161549196550815511', '109.21109756210023459300670727468', '110.606926437342663781161629927857', '111.97326037428130034807042606991', '113.37157413968208394383052117780', '114.3379771921975309498202997559', '115.1888855636150114038335038094', '116.77400295444679077556276067630', '117.49231908922487266637253703801', '119.11915566909227062474472159590', '120.56411330276344849772521482955', '122.2377706310322390136415075080', '122.56561443982174587773110513433', '124.01761241016768512203107196348', '125.16809636509356596349361124855', '126.41275341952790804396164433398', '127.04915349030251330085657049066', '129.37772688639903925796035517218', '130.167377400071131281066325831455', '131.30628482854345306162845471254', '132.80843309638879710966874109488', '133.41671758230497014379421367480', '134.71571861835633319297123273366', '135.686447494080151744228565596629', '137.22535223906373762641824701534', '138.72967814662748900261766071740', '139.720443305307633030242805856240', '141.0769669937039551065796769145', '142.04038525727461829213844549933', '142.865978389050583997329780182224', '144.15362832059327168243396770998', '145.48076268520129241721431328249', '146.41369516174802839053094734279', '148.60061225191674715438639026960', '148.98917225172776890865617879577', '150.28050454818106319511916588839', '151.30028422676010655178610837288', '152.59003805262659609238401363921', '153.403093139472636823812355146290', '154.53917573222424574354001845191', '156.32980160132850951952475650367', '157.44052616649924054712487449600', '158.63604162553543382071561342774', '159.31915798389783939510059375876', '161.04184749566959015627162245340', '161.487148752318103703526336360123', '162.53501701383789792271568686706', '164.13286092513911491204363146240', '165.512025237991150288274616456452', '166.4968769295295772243908619086', '167.936746923113029026982994201721', '168.8865732241254712318683265463', '169.52587303461628200051396324769', '170.98057551332693575771376120032', '171.91948715933562855021471266142', '173.067857004531367412006030154126', '174.68119908073636042954406310436', '175.80689101495678940119705462719', '177.021443769836753557677991135217', '177.75142752228347650430390224064', '178.79359318278458063478345968770', '180.22173792559986527758963602450', '180.8843426757750723240376198197', '182.02477806414663421258008640045', '183.97841340086274680545847733507', '184.8786710597402621664271613220', '185.6339546312820207133488905792', '187.0629754905404840440136102354', '188.20403712699470845233917036124', '188.60276837464074552227748527884', '190.11449904380514324432780466205', '191.10441390611897074666012202827', '192.92068673241722978426100939954', '193.54619615593482148212072565702', '195.11990240661938006706099263507', '195.72534913154601064294081786688', '197.16628153495967507818578407432', '197.577253467716497402331010657658', '199.000450039607806393196926796158'], 'prelabel': '1-3e2-9.2-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.9671843231516252, 'root_angle': 0.1388888888888889, 'root_number': '0.642787609686539326322643409907+0.766044443118978035202392650555*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.138888888889', 'prec': 47}, 'spectral_label': 'r1-0', 'st_group': 'mu(6)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '1.13627591877137772867946858379+0.413570612346262677133126917570*I']], 'z1': {'__RealLiteral__': 0, 'data': '4.57573576242', 'prec': 44}, 'z2': {'__RealLiteral__': 0, 'data': '6.89180300406', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '9.26240896468', 'prec': 44}} -
lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 0.9671843231516252, 'bad_primes': [3], 'central_character': '9.2', 'conductor': 9, 'conductor_radical': 3, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/9/2'], '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': '1-3e2-9.2-r1-0-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [1], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-3e2-9.2-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.9671843231516252, 'root_angle': 0.1388888888888889, 'self_dual': False, 'spectral_label': 'r1-0', 'z1': {'__RealLiteral__': 0, 'data': '4.57573576242', 'prec': 44}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_9.2', 'Lhash_array': ['dirichlet_L_9.2'], 'factors': ['1-3e2-9.2-r1-0-0'], 'label': '1-3e2-9.2-r1-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/9/2'}
Lfunction data - 1-3e2-9.2-r1-0-0