-
lfunc_lfunctions • Show schema
Hide schema
{'Lhash': 'dirichlet_L_3.2', 'a10': [1.0, 0.0], 'a2': [-1.0, 0.0], 'a3': [1.0, 0.0], 'a4': [1.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [1.0, 0.0], 'a7': [1.0, 0.0], 'a8': [-1.0, 0.0], 'a9': [1.0, 0.0], 'algebraic': True, 'analytic_conductor': 0.3223947743838751, 'analytic_normalization': 0, 'bad_lfactors': [[3, [1]]], 'bad_primes': [3], 'central_character': '3.2', 'coeff_info': ['x^2 - 1', -1, '\\\\zeta_{2}'], 'conductor': 3, 'conductor_radical': 3, 'conjugate': 'dirichlet_L_3.2', 'degree': 1, 'dirichlet_coefficients': [1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1], 'euler_factors': [[1, -1], [0], [1, -1], [1, 1], [1, -1], [1, 1], [1, -1], [1, 1], [1, -1], [1, -1], [1, 1], [1, 1], [1, -1], [1, 1], [1, -1], [1, -1], [1, -1], [1, 1], [1, 1], [1, -1], [1, 1], [1, 1], [1, -1], [1, -1], [1, 1], [1, -1]], 'gamma_factors': [[1], []], 'index': 0, 'label': '1-3-3.2-r1-0-0', 'leading_term': '0.480867557696828626181220063236', '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/3/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [0.48086755769682854, 0.4930468930459925, 0.5287187529890776, 0.5857535761053005, 0.6616518858936955, 0.7540991711283423, 0.8610167463431944, 0.98033658456224, 1.109714735484992, 1.2462823920259964, 1.3864640507708632, 1.5258685987692955, 1.6592559480863647, 1.7805839861707107, 1.883142262575382, 1.9597782366963252, 2.003218746055023, 2.0064837564380804, 1.9633817510939968, 1.869066797236112, 1.7206270797157113, 1.517664416967488, 1.2628150868108956, 0.9621554672580191, 0.6254328938930663, 0.26606405187575927, -0.09914875598509836, -0.45061830376615425, -0.7669032151948862, -1.025953945013633, -1.2066263572182743, -1.2903801995132518, -1.2630455901415665, -1.1165112677127365, -0.8501680657920436, -0.4719340348998784, 0.0013025951436738139, 0.5439574691382916, 1.122827279579294, 1.6989891929236642, 2.2304605619896094, 2.67546832523142, 2.996090149890656, 3.161953703317476, 3.153627379552081, 2.9653155874080253, 2.606492364547415, 2.1021730257056426, 1.491634291924358, 0.8255426488315426, 0.1616263431801502, -0.44078917888431285, -0.9268911187330382, -1.2525081204136792, -1.3895554635484038, -1.3300949243131912, -1.0883961666016724, -0.7005634959856024, -0.22154594626637025, 0.2803433381467237, 0.7309445990641996, 1.0590457522428958, 1.2054528608757442, 1.1312023104525637, 0.8237842257940244, 0.30040434785802594, -0.392381303406492, -1.1828943888213561, -1.982154196924771, -2.694501291807417, -3.2297808019253225, -3.515520244607829, -3.507411497244751, -3.1965154024594513, -2.611957630344804, -1.8184467993470976, -0.9086556786528939, 0.008730908429257268, 0.8237945681616954, 1.4409520112431942, 1.7930207596560725, 1.8515685215983695, 1.6317658789501546, 1.190708910534657, 0.619145148316441, 0.027583842546558546, -0.47126508301205494, -0.7810654598248793, -0.8384594017363449, -0.6248661771953189, -0.1712715658290132, 0.4451504614021438, 1.1124301825862455, 1.701683488732552, 2.088758641351643, 2.1761212379020587, 1.911210177247993, 1.2979027595355104, 0.39875015905268674, -0.6728556158027182, -1.7696833970976849, -2.7342544882650888, -3.4251361423550772, -3.741371949075144, -3.6406042039048843, -3.1473869753670316, -2.3498297798778083, -1.3847842048618695, -0.41392363458038745, 0.40513275448585073, 0.94739961405558, 1.1434065562666222, 0.9918612559700806, 0.5593746806676044, -0.03305753799158104, -0.6345384350733466, -1.095185630779322, -1.2974937451545592, -1.1818355919092687, -0.7607287556190544, -0.11855963290532039, 0.6037095854962492, 1.2362658283123333, 1.615349573764469, 1.618383381459381, 1.1920323960953767, 0.36707213239943703, -0.7435608243999897, -1.9637885235320551, -3.0871647332598715, -3.917063631748203, -4.306144883158584, -4.186815112208463, -3.586030358061145, -2.6209006925791125, -1.4755550054953506, -0.3637671184605004, 0.514949551921632, 1.016442203938003, 1.081248031088426, 0.7455547588766498, 0.1311077286919074, -0.5839811464090896, -1.2072203468672615, -1.577163013953852, -1.601889826815049, -1.2814987869900842, -0.7090073005645926, -0.04893974467361453, 0.501925830153511, 0.7628465348229799, 0.615219421093854, 0.03542735981042862, -0.8938809967639737, -1.9975483747297866, -3.0443407501507083, -3.7982126817759485, -4.072763891346036, -3.7760955600012687, -2.935150998669649, -1.6931843238582074, -0.28023578483582173, 1.0370498471192124, 2.0148076357249147, 2.48660036640194, 2.400231545126639, 1.8276894230604652, 0.9455718997548361, -0.009466129391701284, -0.7994671756827274, -1.2436599773086623, -1.262065493358473, -0.8931322725084992, -0.28073150824138393, 0.36640334277307834, 0.8325613914484516, 0.9553476988345938, 0.6725253677104233, 0.042698271283949395, -0.7663224750670851, -1.5192792968230007, -1.9751538792549095, -1.9530065408253912, -1.3846142275770792, -0.3394967286753353, 0.9852404419064488, 2.308770961127835, 3.3337171585268717, 3.8197847164567387, 3.6448641648418976, 2.8374186094671208, 1.5711619615575891, 0.12278331060902015, -1.1967537371173347, -2.119638158129564, -2.4870963214538535, -2.2862995214535453, -1.648452310936141, -0.8086104315859695, -0.03818517582012699, 0.4313414216030287, 0.4723867362452071, 0.09504872800450244, -0.5589115598618974, -1.2603956966887597, -1.763227015476113, -1.8803713457498954, -1.5440633568840032, -0.8319375834072275, 0.04936717692014102, 0.8196139867685047, 1.2045149405279996, 1.0171596346992344, 0.2178652070274375, -1.0655067544204841, -2.5639086297227567, -3.9341275077618043, -4.848680455722494, -5.0838294664042945, -4.580931895011688, -3.46342771926277, -2.0040829461444325, -0.5512085368656363, 0.5655968978734154, 1.123560104881911, 1.063645550199374, 0.5000913359018563, -0.3198912706284198, -1.0941250572040686, -1.5578906946007334, -1.5631171689595766, -1.120540806525268, -0.3920796482090488, 0.3642944452468213, 0.880350114276327, 0.9675736240114365, 0.5831354208706938, -0.149433823645126, -0.972531039852752, -1.571128687232083, -1.6711697300858595, -1.1297191458864073, 0.011429957457409573, 1.5265378671684424, 3.0627037920808258, 4.237137975635665, 4.746620034783437, 4.45645327455178, 3.441770482299622, 1.9680303912373136, 0.41581914727115427, -0.8279297805000786, -1.4797461848463431, -1.4373828401596636, -0.8021361476907044, 0.1606216614349597, 1.1098971264976076, 1.7384396053185378, 1.8684005282589424, 1.503050615795212, 0.8183501206369926, 0.09749553203577646, -0.3699371295152982, -0.39093397588970824, 0.060265189284636256, 0.8278910102329035, 1.622703900672817, 2.1177793925561126, 2.0612561683868993, 1.3688776417407935, 0.1648113581506263, -1.2446338921026465, -2.4581954757361797, -3.101466124783007, -2.945054169075237, -1.9810335074908756, -0.4322243532526709, 1.3100209667549856, 2.8009274920092126, 3.674445070321969, 3.7507248553322876, 3.084859445984512, 1.9416382651747948, 0.7050136865989689, -0.247789690160007, -0.6661090696218437, -0.5003832094847966, 0.09260897362707737, 0.8145116140076809, 1.3372323130146107, 1.4229579903104197, 1.010606136920247, 0.23838478154268306, -0.6059198979959398, -1.1902030242018466, -1.2624307914908712, -0.7503376612056304, 0.19973443013358808, 1.260647793359168, 2.0284104991961924, 2.158430713034254, 1.4880963968308754, 0.10309012767890036, -1.6770181898235772, -3.3914189153823404, -4.579809844645139, -4.926891021081271, -4.361573372390946, -3.0775473948272807, -1.4680982679058123, 0.0030176140592281736, 0.9511340456253681, 1.1902867410628293, 0.7829111205166599, 0.003910691041334154, -0.7668946876821775, -1.1850864895478568, -1.0646620466063075, -0.4401301175562429, 0.4539725040721751, 1.278034841785041, 1.7216673792292507, 1.6276518529244215, 1.0591428968657497, 0.28390613028619766, -0.320570675887316, -0.4080477825630221, 0.20023250432968065, 1.4345389216947853, 2.9826845213432778, 4.384255447055951, 5.1823778183976055, 5.080854385322031, 4.051255973430651, 2.3510949635730647, 0.4449544288637539, -1.1454068209234167, -2.0106127196794197, -1.9842122167261687, -1.1890653284533539, 0.015832917030955906, 1.1681479899159526, 1.8664427377407755, 1.9068202325667754, 1.3434819725289007, 0.4528937973722604, -0.3831881624473301, -0.830700638129713, -0.7340085769455209, -0.17472757027264024, 0.563778931828589, 1.1127708094912108, 1.1708117954463841, 0.6336347578751024, -0.35023361197988767, -1.4221062324198266, -2.140945471591318, -2.1503194531536014, -1.3222081448834475, 0.17774158703158055, 1.9309720166920306, 3.4013335692749447, 4.118033040998638, 3.840578811538651, 2.6454718177407637, 0.9022248014493812, -0.8534980146065454, -2.104104617751757, -2.5250227465051984, -2.0872446702100613, -1.0513370074260298, 0.14275698064893166, 1.0470516725466579, 1.372529448584891, 1.088851376254985, 0.4202458627574819, -0.25860041861314076, -0.5840559536193141, -0.3576497163291617, 0.36901565958436516, 1.3130588364317748, 2.0762678499112788, 2.312705718888379, 1.8809750051760972, 0.9187871081216133, -0.19311095977964407, -0.9675300580373831, -0.9977398100318396, -0.12312860420895662, 1.4917734462558367, 3.3985103878851386, 5.014206075501429, 5.825559149612624, 5.571679836603361, 4.3370505023303245, 2.519301140004822, 0.6837547666729544, -0.6403434704868135, -1.1450106332409273, -0.8408363414593836, -0.03149151185426942, 0.8217292038474847, 1.2899998005121214, 1.1458160011924692, 0.44424313682014543, -0.5140140821072993, -1.3204437120508625, -1.639392180240032, -1.3561694354752776, -0.6304545261291794, 0.1684355953432714, 0.619156149447296, 0.4345542212549437, -0.40108012632989853, -1.6030760778149264, -2.6821787672726045, -3.1308616847248807, -2.6279769627070184, -1.1799184420518438, 0.8603954179336994, 2.9081858753575838, 4.353819320029801, 4.78360427780825, 4.129261007161953, 2.6880679853189937, 1.0060228167888892, -0.3300209953551919, -0.9097850802489295, -0.6420244942105885, 0.23189803168552406, 1.2551996307819688, 1.9530912514740473, 2.0283370325864203, 1.475006358120907, 0.5653438584263243, -0.2820543303285744, -0.6949135193146386, -0.5175185817217933, 0.11529104182909496, 0.8335216713735962, 1.1949011301590917, 0.886788854282808, -0.11961018956700341, -1.5313715876967946, -2.833452628538607, -3.4893515040946212, -3.1627229286003007, -1.8685717902297392, 0.010869970422135163, 1.8565118175322457, 3.0403718966174553, 3.1618565825233995, 2.198406602857258, 0.5102475944449768, -1.302476004683343, -2.632411584031215, -3.0938262315277463, -2.6562968915423237, -1.631917535018625, -0.5254589970601447, 0.18674304063265265, 0.2550004591100502, -0.25122442190260386, -0.9931248438360791, -1.529848753508495, -1.5280005713526779, -0.9201052721619638, 0.058825971944447504, 0.974196933262492, 1.3903251409973791, 1.0775901120129874, 0.13547441725624706, -1.0266920691865853, -1.8487858664869623, -1.8551715838810279, -0.8675282365101509, 0.8969799936536658, 2.88825112113137, 4.4257472298958, 4.960797155935137, 4.291972546658043, 2.6447959740471476, 0.5824981839344101, -1.2156383674090265, -2.2170587092608596, -2.232085685410118, -1.4645655045057626, -0.4000773774652604, 0.4166409748980694, 0.6174916672363701, 0.15883331088407796, -0.6798979428604762, -1.4418541521947004, -1.7144302614249982, -1.325669130619065, -0.42615192762670095, 0.5811934631050812, 1.2322200659303693, 1.2271413073362383, 0.5868809276040066, -0.3343831763044248, -0.9918954408668785, -0.8899280560287172, 0.18537566174998799, 2.0440870170132266, 4.1400926703728995, 5.774308171154836, 6.371520873030817, 5.715090435180025, 4.039546812899952, 1.9403514195336988, 0.13749554526700003, -0.8082269707300676, -0.707572359067604, 0.20367407498641993, 1.3888245811407514, 2.2543918860523764, 2.405927776513772, 1.8045391210638493, 0.7589734079397475, -0.23770312216647593, -0.7485727764651376, -0.5987482543371497, 0.04786489761766358, 0.7754135558512592, 1.1252801426556096, 0.8292292044773699, -0.04415095861148117, -1.1018022607788802, -1.7969686431339844, -1.684252133224232, -0.6434365234979328, 1.0329590408168867, 2.7348031505450994, 3.777354328263708, 3.6897908009092415, 2.4236921434090064, 0.3882280673854596, -1.706859274461957, -3.1356256699021063, -3.4467594907886494, -2.6368251021582525, -1.1332665449634798, 0.402168412901556, 1.3607408972674282, 1.4376815271212804, 0.738317540345337, -0.3023180867680225, -1.1434808530617977, -1.3993817545498515, -1.0151238544280277, -0.27789755173315805, 0.33857680509416943, 0.4198565934436922, -0.17228372212424412, -1.2176610528138743, -2.2328468100848715, -2.7021061038667025, -2.3365953309964973, -1.2377649953738477, 0.11760896709120354, 1.0720899222000413, 1.07925167332872, -0.03817821088495827, -1.9830388836931114, -4.084405562650994, -5.565391583393366, -5.863338577117415, -4.862547575821358, -2.9374160532509306, -0.7877581695905014, 0.859647232548096, 1.5504755978220608, 1.2718639102263867, 0.42041198610711605, -0.40932207454067726, -0.7133257328238077, -0.3083921365898856, 0.6008321155489981, 1.5442595643850878, 2.034431226353026, 1.81741715323024, 1.0035006003154574, 0.013258469194803542, -0.6355795937132414, -0.596919028948082, 0.11192727153926119, 1.0935828750521268, 1.7445346259931336, 1.5430811915926883, 0.3170721056170045, -1.6379385577386123, -3.6530960473140826, -4.958321849607184, -5.0133098076759595, -3.7483964368672993, -1.604579644728638, 0.6480097667593567, 2.233400181833417, 2.690640935397372, 2.0497159113584056, 0.7870910110870187, -0.4131927675539435, -0.9786173398803524, -0.6989258733545671, 0.2046524869074736, 1.2169934840826722, 1.8004166102948334, 1.664579196331959, 0.9032028417437648, -0.06709747316737241, -0.7326445937681034, -0.7585049373850379, -0.17429942987841374, 0.6264232318940246, 1.0780167350014425, 0.7349754117234054, -0.4789658388848437, -2.191815446642064, -3.722106495122942, -4.3785263596280695, -3.7835021548205434, -2.0677203470928194, 0.16071338342047006, 2.0649715916085, 2.9364002097459063, 2.497995866883474, 1.0162604746385786, -0.8284875293472111, -2.2515297474341245, -2.7086424665769853, -2.118010171339112, -0.8611406928669993, 0.42935114816606706, 1.1867557187631959, 1.1767351947346913, 0.5864376311029919, -0.10101977594498021, -0.3775446013098765, 0.013761732631733609, 0.9386006646101225], 'positive_zeros': ['8.03973715568146668171362321417', '11.24920620777293524970502567886', '15.70461917672162556516555088043', '18.26199749569312756892441409359', '20.45577080774249285344502583131', '24.05941485649345077459305359321', '26.57786873577458531458435093753', '28.21816450623338609318302976031', '30.74504026138249573780824181050', '33.89738892725941901767787403300', '35.60841265393863465481291012803', '37.55179655636462701986044645770', '39.48520726092935076736629266003', '42.6163792261575675743228068514', '44.12057291207220244202440459309', '46.27411802351314008510487166014', '47.5141045101173221149363569968', '50.375138650636265982821917341449', '52.4967495990607536672882221717', '54.19384310155191357860186830353', '55.6425587002162213738564033666', '57.58405636044918378148658948822', '60.02685745671590223526149077217', '62.20607812228213648686964588013', '63.17699276733910829118311838811', '65.294925544083712033128538110646', '66.62313462553293005965853741728', '69.51302298597999593419683737254', '70.81979869554714963679597210460', '72.65614907069666485689435758738', '74.005428521004189693308808840056', '75.62240696403070968325847669097', '78.21748127092660984301933907906', '79.63797575190780201641174841050', '81.611987609471446922364234323639', '82.47025251222195794648947648481', '84.41228663829340908784455275600', '86.32764628301414793912264079366', '88.65261720853939082326874424372', '89.64640275684170011255313268896', '91.33561035443308233256089646445', '92.75346438711915817510725878357', '94.39435879716337757793431780703', '96.87425208978530826836727433745', '98.12645490424191213145524999617', '99.53348926405860551015291862957', '101.37496346790001895757094146488', '102.11636184506492079042239377102', '104.76537547016451876061543860023', '106.24606184887637674029329810413', '107.9703161171381027412477748268', '109.13760391449175737784651484262', '110.523351036813351028380396867864', '112.1547718421999694747979533376', '114.21714827156425235588701489974', '115.89814244184313910926683910572', '117.36975099660535997122692534410', '118.2994183078976053629433836291', '120.25518223849444733043630574461', '121.278841596507372881566026228914', '123.8904906598096318670102934890', '125.01078350060402543871202715838', '126.397312255835030130681903494892', '128.0526771842361420518088462494', '128.937236928623780151285437824', '130.81136991023855702943742688680', '133.03244964930053416214117186610', '133.990862643415321641574578328', '135.8208912231495389399344098758', '136.82637327155001725231312978730', '138.09535955646888209258689836765', '139.99828007550451125550428383073', '141.647847111848760730631584645', '143.638477145126742234085970254506', '144.25166398258846600457713829984', '145.91962956744678365384080473335', '147.22423028195671559038567983455', '148.603136989263800618175149727440', '150.71648956981279894744108571936', '152.31852915159030304225291085205', '153.19071649426000536538962761488', '154.81521615192516933362957294504', '156.136480891007221318584543865859', '157.14838127659447301608505568474', '159.71825242075046663418412396447', '160.568314696625827186881313111656', '162.41507557096719636767840615546', '163.417951938298530800750264837408', '164.67432659655822833651017597817', '166.06625252927564563111590353565', '167.867728531281197382458396130203', '169.59828456081661628174296313018', '170.847483042399128316482810590852', '172.30763025383030212093934143511', '173.06023361941621589077118770668', '174.9713599306700421616371119492', '175.93008181538425175340724212781', '178.25616765547602505135813674409', '179.51883345792155913483423783877', '180.43138681003089427167352456982', '182.19211659891208467447795875516', '183.08690052849118188456732471400', '184.43181956080852673104460058702', '186.46725495995040749134096258338', '188.00443272451067748044514144637', '189.001067145020892925254903056635', '190.601924735043669751645536613677', '191.630396675494737780897472734901', '192.71019723651836284203696207942', '194.66486410903892608212896385539', '196.1084583641506395618971685254', '197.69960648915814770358986787666', '199.00885879863788276347011531253', '199.681423183602625293270102184719'], 'prelabel': '1-3-3.2-r1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 0.3223947743838751, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'r1-0', 'st_group': 'mu(2)', 'symmetry_type': 'orthogonal', 'types': ['DIR'], 'values': [[1, '0.604599788078072616864692752547']], 'z1': {'__RealLiteral__': 0, 'data': '8.03973715568', 'prec': 44}, 'z2': {'__RealLiteral__': 0, 'data': '11.2492062078', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '15.7046191767', 'prec': 44}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 0.3223947743838751, 'bad_primes': [3], 'central_character': '3.2', 'conductor': 3, 'conductor_radical': 3, 'degree': 1, 'dirichlet_coefficients': [1, 1, 0, 1, 1, 0, -1, 1, 0, 1, 1, 0, -1, -1, 0, 1, 1, 0, -1, 1, 0, 1, 1, 0, 1, -1, 0, -1, 1, 0, -1, 1, 0, 1, -1, 0, -1, -1, 0, 1, 1, 0, -1, 1, 0, 1, 1, 0, 1, 1, 0, -1, 1, 0, 1, -1, 0, 1, 1, 0, -1, -1, 0, 1, -1, 0, -1, 1, 0, -1, 1, 0, -1, -1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 1, -1, 0, 1, 1, 0, 1, 1, 0, 1, -1, 0, -1, 1, 0, 1], 'euler11': [1, -1], 'euler13': [1, 1], 'euler17': [1, -1], 'euler19': [1, 1], 'euler2': [1, -1], 'euler23': [1, -1], 'euler29': [1, -1], 'euler3': [1, 0], 'euler31': [1, 1], 'euler37': [1, 1], 'euler41': [1, -1], 'euler43': [1, 1], 'euler47': [1, -1], 'euler5': [1, -1], 'euler53': [1, -1], 'euler59': [1, -1], 'euler61': [1, 1], 'euler67': [1, 1], 'euler7': [1, 1], 'euler71': [1, -1], 'euler73': [1, 1], 'euler79': [1, 1], 'euler83': [1, -1], 'euler89': [1, -1], 'euler97': [1, 1], 'euler_factors': [[1, -1], [1, 0], [1, -1], [1, 1], [1, -1], [1, 1], [1, -1], [1, 1], [1, -1], [1, -1], [1, 1], [1, 1], [1, -1], [1, 1], [1, -1], [1, -1], [1, -1], [1, 1], [1, 1], [1, -1], [1, 1], [1, 1], [1, -1], [1, -1], [1, 1]], 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/3/2'], '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': '1-3-3.2-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': '1-3-3.2-r1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 0.3223947743838751, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'r1-0', 'z1': {'__RealLiteral__': 0, 'data': '8.03973715568', 'prec': 44}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': 'dirichlet_L_3.2', 'Lhash_array': ['dirichlet_L_3.2'], 'label': '1-3-3.2-r1-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/3/2'}