Lfunction data - 12-912e6-1.1-c1e6-0-2

Formats: - HTML - YAML - JSON - 2024-04-26T20:58:16.203470

• 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': '282890943786512279262956530965,699295935252309590459920550911,1662693315403915217878271413392,2010084312131436639994094090901,2080957472870500157363018325478,2160051820590647157198633551686', 'a10': 0, 'a2': 0, 'a3': 3, 'a4': 0, 'a5': -2, 'a6': 0, 'a7': 2, 'a8': 0, 'a9': 3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 149152.88977532112, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, -3, 6, -7, 6, -3, 1]], [19, [1, 4, 17, 136, 323, 1444, 6859]]], 'bad_primes': [2, 3, 19], 'central_character': '912.1', 'coefficient_field': '1.1.1.1', 'conductor': 575398903529078784, 'conductor_radical': 114, 'degree': 12, 'euler_factors': [[1], [1, -3, 6, -7, 6, -3, 1], [1, 2, -3, -2, -2, -34, -31, -170, -50, -250, -1875, 6250, 15625], [1, -2, 25, -58, 346, -674, 3089, -4718, 16954, -19894, 60025, -33614, 117649], [1, 0, 18, 72, 279, 648, 5740, 7128, 33759, 95832, 263538, 0, 1771561], [1, -1, -17, 40, 61, -223, 854, -2899, 10309, 87880, -485537, -371293, 4826809], [1, 0, -51, 0, 1734, 0, -34391, 0, 501126, 0, -4259571, 0, 24137569], [1, 4, 17, 136, 323, 1444, 6859], [1, -14, 99, -382, 346, 7726, -57613, 177698, 183034, -4647794, 27704259, -90108802, 148035889], [1, 4, -39, -52, 886, -1916, -33907, -55564, 745126, -1268228, -27583959, 82044596, 594823321], [1, 30, 513, 6118, 56634, 421662, 2585865, 13071522, 54425274, 182261338, 473766273, 858874530, 887503681], [1, 6, 237, 1130, 22770, 84366, 1137381, 3121542, 31172130, 57237890, 444176157, 416063742, 2565726409], [1, -4, -75, 100, 3622, 2012, -174751, 82492, 6088582, 6892100, -211932075, -463424804, 4750104241], [1, 3, -99, -218, 6207, 6951, -285738, 298893, 11476743, -17332526, -338461299, 441025329, 6321363049], [1, 18, 75, 666, 15954, 93546, 218347, 4396662, 35242386, 69146118, 365976075, 4128210126, 10779215329], [1, -6, -51, 102, 1086, 11334, -107183, 600702, 3050574, 15185454, -402414531, -2509172958, 22164361129], [1, 0, -153, -72, 14382, 5508, -969077, 324972, 50063742, -14787288, -1853956233, 0, 42180533641], [1, 13, -25, -504, 6133, 34211, -181514, 2086871, 22820893, -114398424, -346146025, 10979751913, 51520374361], [1, -9, -39, 250, 375, 24519, -284658, 1642773, 1683375, 75190750, -785893719, -12151125963, 90458382169], [1, 18, 99, 234, 306, -55062, -871373, -3909402, 1542546, 83751174, 2515756419, 32476128318, 128100283921], [1, 19, 59, 252, 17041, 91889, -279578, 6707897, 90811489, 98032284, 1675496219, 39388360267, 151334226289], [1, -11, -119, 494, 21403, -27611, -1863994, -2181269, 133576123, 243561266, -4635059639, -33847620389, 243087455521], [1, -8, 354, -2296, 60391, -326864, 6327932, -27129712, 416033599, -1312822952, 16800245634, -31512325144, 326940373369], [1, -16, -87, 424, 39826, -163780, -2350663, -14576420, 315461746, 298906856, -5458574967, -89344951184, 496981290961], [1, -2, -19, -2166, 418, 14486, 2859997, 1405142, 3932962, -1976849718, -1682056339, -17174680514, 832972004929], [1, 22, 105, 74, 14458, 106174, -310999, 10723574, 147486058, 76242274, 10926342105, 231222211022, 1061520150601], [1, -18, 249, -1658, 25674, -358962, 5362977, -36973086, 272375466, -1811741366, 28025169369, -208669333374, 1194052296529], [1, -20, 510, -8236, 127255, -1515560, 18009860, -162164920, 1456942495, -10089454148, 66850596510, -280510346140, 1500730351849], [1, -18, 33, 2, 5802, 165606, -3625215, 18051054, 68933562, 2590058, 4658219313, -276952311882, 1677100110841], [1, 24, 702, 10896, 191295, 2234904, 28565332, 252544152, 2442645855, 15721805712, 114459247422, 442184443032, 2081951752609]], 'euler_factors_factorization': [[1], [[[1, -1, 1], 3]], [[[1, 2, -3, -2, -2, -34, -31, -170, -50, -250, -1875, 6250, 15625], 1]], [[[1, -1, 12, -17, 84, -49, 343], 2]], [[[1, 0, 9, 36, 99, 0, 1331], 2]], [[[1, -1, -17, 40, 61, -223, 854, -2899, 10309, 87880, -485537, -371293, 4826809], 1]], [[[1, 0, -17, 0, 289], 3]], [[[1, 4, 17, 136, 323, 1444, 6859], 1]], [[[1, -14, 99, -382, 346, 7726, -57613, 177698, 183034, -4647794, 27704259, -90108802, 148035889], 1]], [[[1, 4, -39, -52, 886, -1916, -33907, -55564, 745126, -1268228, -27583959, 82044596, 594823321], 1]], [[[1, 15, 144, 899, 4464, 14415, 29791], 2]], [[[1, 1, 37], 6]], [[[1, -4, -75, 100, 3622, 2012, -174751, 82492, 6088582, 6892100, -211932075, -463424804, 4750104241], 1]], [[[1, 3, -99, -218, 6207, 6951, -285738, 298893, 11476743, -17332526, -338461299, 441025329, 6321363049], 1]], [[[1, 6, -11, 282, 2209], 3]], [[[1, -6, -51, 102, 1086, 11334, -107183, 600702, 3050574, 15185454, -402414531, -2509172958, 22164361129], 1]], [[[1, 0, -153, -72, 14382, 5508, -969077, 324972, 50063742, -14787288, -1853956233, 0, 42180533641], 1]], [[[1, 13, -25, -504, 6133, 34211, -181514, 2086871, 22820893, -114398424, -346146025, 10979751913, 51520374361], 1]], [[[1, -9, -39, 250, 375, 24519, -284658, 1642773, 1683375, 75190750, -785893719, -12151125963, 90458382169], 1]], [[[1, 18, 99, 234, 306, -55062, -871373, -3909402, 1542546, 83751174, 2515756419, 32476128318, 128100283921], 1]], [[[1, 19, 59, 252, 17041, 91889, -279578, 6707897, 90811489, 98032284, 1675496219, 39388360267, 151334226289], 1]], [[[1, -11, -119, 494, 21403, -27611, -1863994, -2181269, 133576123, 243561266, -4635059639, -33847620389, 243087455521], 1]], [[[1, -4, 169, -472, 14027, -27556, 571787], 2]], [[[1, -16, -87, 424, 39826, -163780, -2350663, -14576420, 315461746, 298906856, -5458574967, -89344951184, 496981290961], 1]], [[[1, -2, -19, -2166, 418, 14486, 2859997, 1405142, 3932962, -1976849718, -1682056339, -17174680514, 832972004929], 1]], [[[1, 22, 105, 74, 14458, 106174, -310999, 10723574, 147486058, 76242274, 10926342105, 231222211022, 1061520150601], 1]], [[[1, -9, 84, -73, 8652, -95481, 1092727], 2]], [[[1, -10, 205, -2068, 21935, -114490, 1225043], 2]], [[[1, -18, 33, 2, 5802, 165606, -3625215, 18051054, 68933562, 2590058, 4658219313, -276952311882, 1677100110841], 1]], [[[1, 12, 279, 2100, 31527, 153228, 1442897], 2]]], 'gamma_factors': [[], [0, 0, 0, 0, 0, 0]], 'group': 'GL2', 'index': 2, 'label': '12-912e6-1.1-c1e6-0-2', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/912/2/q/l', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0208333333333', 'prec': 50}, 'plot_values': [1.929191278082596, 1.902696603949678, 1.8419813019138587, 1.7465835166217771, 1.6165478874224288, 1.4525419904926327, 1.2559755884135202, 1.029298610748167, 0.776530110964199, 0.5025540486983184, 0.2128825557253397, -0.08638403916388092, -0.38860320431085, -0.6866377723429639, -0.972828174800263, -1.2389465990485897, -1.4762681919216796, -1.67567664063548, -1.8277912947957813, -1.9231124030294806, -1.9522255888308182, -1.9060976015523694, -1.7763298488774366, -1.5554113140313415, -1.2369798867717854, -0.816113118143731, -0.2897209531689001, 0.3431846932931549, 1.0812643077989341, 1.9206467755540637, 2.8547702950999803, 3.8742041905507807, 4.96636603571095, 6.1157593481757075, 7.304207516477488, 8.511114694161465, 9.71382033790573, 10.888003883060522, 12.008151215593836, 13.048419588823503, 13.983421770726292, 14.788994891475474, 15.442984345289135, 15.926085519476509, 16.222878965217422, 16.322449399802913, 16.218874248661738, 15.911608809525895, 15.405701853309806, 14.71199050383754, 13.847442416740558, 12.834249457908271, 11.698972609270266, 10.471657881113986, 9.184794418454853, 7.872299610528243, 6.5686176715883, 5.306800567375748, 4.117063599603438, 3.0256332584507217, 2.0537721083646563, 1.2170658772315073, 0.5249477652822248, -0.019733021829079347, -0.420550509639461, -0.6869533031935294, -0.8334221941562685, -0.8784108278379434, -0.843152405862596, -0.7501179853769825, -0.6214962735743661, -0.4777921748116144, -0.3366038846071696, -0.21167224852763977, -0.11224266758214864, -0.042711422409453845, -0.002791813494933512, 0.011892005564418905, 0.008851976620024642, -0.0025065089235600476, -0.01232901799217883, -0.011857868673315097, 0.005083538190872559, 0.04081028876750032, 0.09281845039186881, 0.15325891398724656, 0.20896572506377456, 0.24205052171289973, 0.2310290647336947, 0.152428321891543, -0.017226308657100613, -0.299117553208653, -0.7095851893382291, -1.2580422616158973, -1.9452265127041035, -2.7619307161283304, -3.688396349261894, -4.694435900194254, -5.740428392615659, -6.779510244684869, -7.760295652106036, -8.630068552888362, -9.3382961121544, -9.840356622494701, -10.101503997568384, -10.09959368845856, -9.827005958864527, -9.291688030982256, -8.517111676692643, -7.541275203871988, -6.414817458249757, -5.196972549143114, -3.9512741801043125, -2.741101349474045, -1.6252122635114352, -0.653587211389224, 0.13626454811128683, 0.7219108239824058, 1.097095944570413, 1.2714947181475489, 1.2691712911033626, 1.1259387445583, 0.8857869496337147, 0.5961446230115865, 0.30323169156747315, 0.04777399680619775, -0.1386341019482564, -0.2362294318091676, -0.23865212078574857, -0.15288764139843178, 0.0022268662283663615, 0.1986506002862858, 0.40268011615368354, 0.5790550797787577, 0.6953402485272, 0.7258640700644291, 0.6547356001116366, 0.47775594030141005, 0.20304649379875128, -0.1496562503031457, -0.5511265772856725, -0.9660689465886386, -1.3570120248090909, -1.6883574853986143, -1.9301914050660216, -2.061616046291377, -2.0734827647006666, -1.9688358983751568, -1.7620760074120272, -1.477013652328259, -1.143930675231324, -0.7960988172316544, -0.4660840114213077, -0.18150310369072303, 0.03800144125026709, 0.18253737024335243, 0.2524585070193555, 0.25756033937579526, 0.21512595429337406, 0.14695501399731378, 0.07582336395546488, 0.021970738026660698, 9.579338209203257e-05, 0.01726453179104363, 0.07204487055329577, 0.15503695504619716, 0.2506939647699036, 0.3401446171694933, 0.4046085489011866, 0.42894589085931134, 0.4048438802011568, 0.33272734193633957, 0.22233053714088935, 0.09180545055559439, -0.03461257973800516, -0.13014139156587826, -0.16985319838013518, -0.13508074975258658, -0.017016465356218403, 0.18095202964158363, 0.4425969209058835, 0.7401497855043664, 1.0377517148021724, 1.2965890024416638, 1.4806981593646693, 1.562735416005942, 1.5288578908119461, 1.382017640187838, 1.1430280085994764, 0.8476909382891987, 0.5412460416999197, 0.27062687812088604, 0.07524776607448144, -0.02254676639188229, -0.026122516040853236, 0.029445048426124523, 0.07547031921608556, 0.012369148988563882, -0.2827914341418262, -0.9441765462466666, -2.101372465544239, -3.8619393934605983, -6.29421311748516, -9.412292661309108, -13.165179712382276, -17.432659180105436, -22.031878519325293, -26.727610054473786, -31.248514980672912, -35.30879473773607, -38.632786339105344, -40.98323523838697, -42.19460330478622, -42.1823299031276, -40.94813579414843, -38.57998950970446, -35.24402289780492, -31.17188548569666, -26.645183987007474, -21.957403826837844, -17.384444515760737, -13.161816850604213, -9.467447124970061, -6.4122154304867705, -4.037997164037652, -2.3196998003160085, -1.1785524551359943, -0.5007529859947185, -0.15765845316602614, -0.024818864945631677, 0.002552403986744568, -0.0005287012052323763, 0.007451200118483924, 0.03715322175141466, 0.07623316345913814, 0.10048355091322475, 0.08595071867644655, 0.019106952944619015, -0.0968334132115094, -0.24059396330420665, -0.3768059851178328, -0.46462931392031664, -0.46954156751353326, -0.3749588901659437, -0.19118684170768666, 0.040351496138787434, 0.2492107324309057, 0.3451309522825149, 0.23453961479156235, -0.15933185312073422, -0.8761773766875486, -1.901241284001038, -3.1542710640095333, -4.487706460556821, -5.6974599021567345, -6.546608249268885, -6.797108297199459, -6.246487473776622, -4.764933057242232, -2.32849898250667, 0.9558253254098559, 4.847750049869989, 8.988643024920933, 12.933313354276626, 16.196959736385043, 18.312791079654385, 18.894792121897495, 17.694126234586715, 14.640470072075168, 9.863801023303177, 3.692799337874245, -3.3725391332826176, -10.717577998889325, -17.68372005007149, -23.643447958336736, -28.073292089140107, -30.61541877031695, -31.123610968224448, -29.6903004608882, -26.618172075303434, -22.370667221810287, -17.50622502230219, -12.6011516409189, -8.172246124260843, -4.607483906031616, -2.1084319170951753, -0.6689226558993775, -0.08622783463198185, -0.0009405302335525112, 0.039884981181073365, 0.5050514568611585, 1.7988093913061218, 4.190393836557538, 7.763658437684647, 12.39386841641247, 17.757131167486346, 23.378195913721232, 28.6945401096707, 33.13220712826351, 36.184818391819576, 37.48396340143585, 36.8559577923317, 34.360498575625996, 30.266970826776983, 25.01057406114027, 19.132216687197907, 13.206354980909436, 7.768041847920488, 3.2466017254745787, -0.0911826957134761, -2.1622481681034262, -3.0588598003980847, -3.015738040500623, -2.358818497909882, -1.443747571130566, -0.5929803264154553, -0.044039708642219955, 0.08366630795450891, -0.2004187880590384, -0.7706150703680195, -1.4194264492736615, -1.904373841320879, -1.998189352231259, -1.5346927532587358, -0.4429824848663633, 1.2353168583103185, 3.350711041412988, 5.67240232808489, 7.925814037961764, 9.835969964220817, 11.17019304127702, 11.775187247210534, 11.604750729329103, 10.718526099848155, 9.265536451460038, 7.456353417202489, 5.52746061961725, 3.70417395735557, 2.1670336395121144, 1.0251482300198407, 0.30706905572159293, -0.03339089405237638, -0.0993329210458657, -0.024784334596742928, 0.054808659238212966, 0.029820045862172004, -0.16441255120949275, -0.5388595203324896, -1.0530893968364674, -1.6276958848265592, -2.1651196640570727, -2.5716368601103605, -2.7764300345778716, -2.744941700445592, -2.4843402114299407, -2.041039524283332, -1.4908725378517986, -0.9205896203149698, -0.41031680390309855, -0.01943770226356654, 0.222224844050198, 0.31668413459275, 0.29364471657333235, 0.20008824437747116, 0.08699244297494717, -0.0031693457344540523, -0.045484719479581305, -0.03639319901168766, 0.008451706391161915, 0.06151847464740193, 0.09381864785505212, 0.08547171412964898, 0.0336101854359078, -0.04458957392716188, -0.11513221094838698, -0.13625646068134642, -0.0709388232597975, 0.09987693334639501, 0.3664766712895536, 0.6849507526142675, 0.9796461189858547, 1.1539758331982861, 1.107245350563461, 0.7549395872043877, 0.04893141771442421, -1.006505969003091, -2.3481559943909063, -3.8580952807313555, -5.377156397834435, -6.726335624063688, -7.733030567576822, -8.259605692018104, -8.231718430754613, -7.6475885862490625, -6.577162804528446, -5.151509480520385, -3.5428664652664734, -1.9389547208484654, -0.5144670842860865, 0.5976920687002616, 1.323438694171749, 1.6531726710324344, 1.636608243171579, 1.3684654745735043, 0.9676906504140411, 0.5524585190527165, 0.21890800177862588, 0.02661722471376032, -0.007499044621403712, 0.09360475347734262, 0.27804518819559293, 0.48075613269112005, 0.6397954378474637, 0.7099904021135948, 0.6714824258035682, 0.5320594050399738, 0.32296142828759666, 0.08827683990727109, -0.12672889975362603, -0.2859562524143525, -0.36956416653307783, -0.3767003229981784, -0.3237076096705137, -0.23708071378258375, -0.14489841086810026, -0.06925551005500974, -0.02144483643202176, -0.0009555438447306667, 0.0017470047497721794, -0.00041981302209235225, 0.0021197338171695846, 0.010294567864614836, 0.014369914670004568, -0.0038848252258189744, -0.06537324327757364, -0.1857272773623876, -0.3675117553694521, -0.5951020564411619, -0.8342734600206748, -1.0380445821577609, -1.1594142307757782, -1.1638057693817747, -1.0401511996284647, -0.8077326839814347, -0.5157636802018116, -0.2346399625591951, -0.03848412433102203, 0.020064793261154193, -0.06810881166668539, -0.2541894906957324, -0.42896034941240413, -0.435312524111282, -0.09654050648369669, 0.7428914775857048, 2.172923692354852, 4.178990759148578, 6.617821419113883, 9.216978799961032, 11.607291877312676, 13.376836592392976, 14.141349186036496, 13.621290546798788, 11.71134003553186, 8.531270044073853, 4.445284681186233, 0.01583660537976059, -4.074381278457306, -7.125302535127204, -8.535525771284128, -7.9136697910995215, -5.166559095425475, -0.5354866828346173, 5.426073549801824, 11.927041842562325, 18.055649543590263, 22.924918401863007, 25.83077347317201, 26.364713908453012, 24.47678885555096, 20.481879856589263, 15.00586314705346, 8.880366670528044, 2.995958124195913, -1.8612327735208822, -5.137922496851968, -6.595478020590061, -6.334827330181615, -4.763232076749593, -2.5070923958173585, -0.27112289051808663, 1.3026295619585808, 1.7539926937868373, 0.8845172794875875, -1.2148870692449454, -4.194223395363093, -7.527646779781663, -10.625911750743823, -12.954097138004359, -14.132598960633263, -14.004425518224254, -12.655970755723079, -10.377854930626446, -7.591905211779535, -4.759827514470966, -2.2911030663578926, -0.46672794094262054, 0.6074831460503741, 0.994249524440938, 0.883428026188462, 0.5286189010534381, 0.1753954532912736, -0.002923790496464536, 0.051988560595368855, 0.2751478785135332, 0.505599846778475, 0.5377183561506368, 0.18331096192628762, -0.6688455495381394, -2.0079976105875237, -3.6927318532638997, -5.47445226306323, -7.04603145818991, -8.105482160784277, -8.421124684937007, -7.8844277737375, -6.534415706146158, -4.550337737950652, -2.2164957123296793, 0.132858088267787, 2.178132945572524, 3.6781750106638897, 4.5074929168280375, 4.665781254588998, 4.2626756525223595, 3.4824908699576658, 2.538770443148842, 1.62807405120975, 0.888971019449255, 0.3851172660435455, 0.10982320117339678, 0.006661674070210368, -0.0013811072759176773, 0.016954389760289113, 0.0215669413936211, 0.007212636360577266, -0.004566628263526798, 0.016639858767111288, 0.08967391998844926, 0.20731589184957303, 0.3340806239812586, 0.41762351944254217, 0.4103849725410364, 0.29393269032588354, 0.09610852684250021, -0.10959951246110446, -0.22966452638179577, -0.19698955471191174, -0.029950640817117607, 0.1101158391150721, -0.1188300664598045, -1.2369049123046136, -3.888832748161828, -8.742223090998126, -16.347306180845, -26.978602795397734, -40.49092786861831, -56.24208249853904, -73.08700402830658, -89.45502206839906, -103.51422218683872, -113.40598458426108, -117.54044188779889, -114.93612566999758, -105.37010039116834, -89.44638908748418, -68.56544303065097, -44.77544087719807, -20.523274003083138, 1.6873778463823916, 19.682623376499155, 31.906984371237993, 37.60878336268849, 36.90640125780175, 30.735942109565908, 20.682160888806816, 8.658265511709406, -3.409097321900882, -13.855740251975783, -21.488488929074833, -25.707147303145543, -26.536430620029982, -24.511030306529253, -20.494438522008934, -15.478816674184069, -10.397661913889875, -5.981980577517305, -2.674691993475976, -0.6076067102719461, 0.3465730647259988, 0.4820801175184561, 0.15610028748209237, -0.303819929602789, -0.6643735171895303, -0.8133321729815758, -0.7489452436284327, -0.544198714483933, -0.30072867507135426, -0.10654745063247194, -0.008570730834168762, -0.006400877656201471, -0.06388204002107908, -0.1307457284206514, -0.16540240678899976, -0.1508845713308423, -0.09864445763126616, -0.03825515746301315, 0.0002866506903598872, 0.0041312289047153545, -0.012028221335509223, -0.00767263594776398, 0.06847660559479392, 0.25403244218325943, 0.5477520290865557, 0.8925270182518426, 1.1739708090326948, 1.2388510909922008, 0.9326308252419836, 0.14356563787011642, -1.1562011865575388, -2.883381416734596, -4.839566287230937, -6.737274509903916, -8.260748706039397, -9.132457580655588, -9.175151784686527, -8.358386578495569, -6.817123491469679, -4.838391584604549, -2.8135687139585195, -1.1469767288077037, -0.169521283162634, -0.06996542878755213, -0.8550819550815854, -2.347555329922271, -4.225094218056529, -6.0940306899051375, -7.575828963792528, -8.38631390701171, -8.390939154272038, -7.6266337995882605, -6.286332242627507, -4.655994497287425, -3.038850114602625, -1.6842416539325897, -0.7359930268554067, -0.21208778653850513, -0.019548888375279246, -0.0007167267360806396, 0.0033214728754733126, 0.09264669670612159, 0.2691161013908686, 0.42996908983384824, 0.3990534370218574, -0.013078210798376217, -0.9363406521084242, -2.374289974044624, -4.161958296516858, -5.964705923221792, -7.331458558918453, -7.777556621972016, -6.883909709922883, -4.39523555895618, -0.29591913115203683, 5.1529535214193976, 11.434902327112573, 17.865349421895445, 23.70132163137727, 28.259592829061585, 31.024607416106356, 31.73299415101795, 30.42545288325782, 27.407623381953663, 23.175232128805472, 18.319977660862595, 13.42952027416077, 8.999450959323003, 5.368736539462293, 2.6918403251098577, 0.9538199788740032, 0.012389894622180209, -0.34647282618441516, -0.3525804768046577, -0.20492800435997066, -0.04156548768037353, 0.06580022282298018, 0.1006480430614656, 0.08159956263861454, 0.04068180837041365, 0.005676899382980112, -0.009605785722933951, -0.005905585024328428, 0.006943038303838165, 0.017564446559374974, 0.01923322553969922, 0.012488532648024733, 0.0034695455657303485, -0.00035176436820532546, 0.005406042469586529, 0.019533552178583595, 0.03573647144357129, 0.04592605031722157, 0.04456132141018835, 0.03178440489614773, 0.013777666708448714, -6.335403110779687e-05, -0.002142720324952839, 0.00832559676115693, 0.023134758852168747, 0.027392799093714087, 0.006033633920406224, -0.04755094243417955, -0.1243284994676229, -0.1983501004073864, -0.23464451134051426, -0.20541814478676793, -0.11110850329015946, -0.00015244079947284033, 0.020295611936889016, -0.20876869672359288, -0.8702126007549704, -2.126097187799409, -4.064191626348021, -6.647988918017011, -9.685206914925736, -12.832397745228059, -15.638894512774717, -17.62317675740831, -18.370394649798143, -17.63158718614268, -15.403411694150533, -11.963174281172057, -7.826137932445263, -3.6523429738461757, -0.114987016458998, 2.2474085913158084, 3.166569399789597, 2.7338509357930656, 1.3890000730820384, -0.1661965399565959, -1.1153088699612448, -0.7121028030552623, 1.5316098520812844, 5.698962003142412, 11.422877240048706, 17.93793744972646, 24.215000904635364, 29.15451335188677, 31.8118471711061, 31.631902705808397, 28.552731955880052, 23.005953780993043, 15.826132957730714, 8.083637262468972, 0.8815197304842719, -4.843793178741811, -8.50832188473763, -9.959352207149545, -9.454190070208934, -7.557776751243697, -4.984774127835591, -2.419559344999, -0.3777062148662559, 0.8715706930865025, 1.3161357453820577, 1.1499305408564013, 0.6802890397126011, 0.21843992372862864, -0.01715408834275896, 0.05365566549856334, 0.37653146205383325, 0.8055501146530037, 1.1685007436191308, 1.3351597135179598, 1.2596086967147004, 0.9857870867045067, 0.6204089558330437, 0.28585504413015417, 0.07133745885092609, -7.169355911481944e-05, 0.02446449020564138, 0.05514347360602518, 0.006273267251875197, -0.1568007012191871, -0.391198918415311, -0.5872780207537154, -0.6182475347681047, -0.4140850249482596, -0.038089441968997384, 0.2607103698730548, 0.04576167285143826, -1.2337067363857313, -4.111416549258955, -8.949806420441954, -15.795421520279428, -24.28201250423479, -33.6104425136963, -42.63317766700071, -50.06687745466774, -54.74490377044501, -55.860230169340376, -53.14817683883498, -46.96745263255786, -38.2587633181106, -28.35402345128397, -18.694964269353665, -10.530423878290657, -4.660118060431074, -1.2850225422702564, -0.005265455393654125, 0.03291376195315535, -0.10788765403852645, 0.5541459081525092, 2.6531012369832006, 6.301260711738179, 11.081500335562104, 16.17529527232221, 20.577464876733043, 23.3530330450393, 23.874895729627653, 22.001279617670523, 18.155692802044115, 13.160346832698771, 8.004012083481374, 3.5971768206335435, 0.5595733423757668, -0.9083388303116069, -1.0438938198714804, -0.42329761610991823, 0.2412827499813001, 0.33134495724356955, -0.48729299626587586, -2.164543929891902, -4.291291909337183, -6.235762012612466, -7.345188529428835, -7.157523492741677, -5.564274543871437, -2.879949639085807, 0.21164607522742712, 2.8426046189310874, 4.190937342284825, 3.7024874023076184, 1.2521120385353852, -2.798350521503557, -7.6751654484398175, -12.389178118583828, -15.975981640952648, -17.723722330019235, -17.336148369787956, -14.998350181749105, -11.329995321037723, -7.191320507105894, -3.45189572518449, -0.7787220263194489, 0.511123057486546, 0.49908461254474007, -0.3957902471512301, -1.5652043141596117, -2.4029281871951653, -2.4812214998458986, -1.6658335868707628, -0.14129054025340917, 1.663013622458616, 3.219522013284591, 4.065870246551253, 3.943145495219224, 2.87312771854664, 1.1539936716437809, -0.7309637173382756, -2.261000241663159, -3.0244494663553434, -2.8304330624520193, -1.758691495395463, -0.13580236838253737, 1.5617244149813385, 2.8512524972493343, 3.374450569280691, 2.9871417611100926, 1.7897113126005721, 0.09250999887796645, -1.6790229516022308, -3.1087857935322116, -3.8956360477460037, -3.919091981395444, -3.253113647509604, -2.130684643610881, -0.8698722144726252, 0.22944321458639214, 0.9622950237467499, 1.2559784515903765, 1.1656778617497288, 0.834985044380627, 0.4364365301300469, 0.1116793679920315, -0.06699707325498329, -0.10405513985501784, -0.05930814057098108, -0.00902417390297282, -0.006158948302712592, -0.05696261326282212, -0.12344765610460105, -0.1502082882047873, -0.10537798587140161, -0.019591060937741385, -0.004790988191652844, -0.24005543926241266, -0.9266971896627978, -2.222340183280819, -4.171003593887045, -6.65249522004058, -9.381867185241218, -11.949492885818882, -13.895060867601947, -14.802882047764937, -14.396319509917337, -12.616287232125915, -9.668325255891675, -5.964292018350574, -2.0325135539299954, 1.5864297822273123, 4.44206953937998, 6.253256522923995, 6.950900814872925, 6.666938769753691, 5.676598227965074, 4.318930334022643, 2.916573782307451, 1.7128474416699133, 0.837389475202449, 0.3077989979494889, 0.06057529303836715, -0.006154209319428543, 0.007751095855668957, 0.032056364539144, 0.036114477063213545, 0.021181650301664176, 0.0030218723051153805, -0.004764292350019044, 0.00014576438482904558, 0.009537431192239699, 0.012863586780546511, 0.00702626399664278, 0.00019664085751857014, 0.005404407753730415, 0.024686972310314685, 0.02973277149136631, -0.051284997072029506, -0.33198969250595894, -0.9466633864573819, -2.0111166088651333, -3.5738088888452624, -5.572785057872574, -7.823022069853885, -10.032100696934332, -11.845869404986352, -12.919197335076245, -12.996592803438679, -11.989255795037163, -10.030760720891712, -7.444958976209858, -4.678253532195003, -2.207634088189027, -0.43903630798389676, 0.3809791229456053, 0.2195316017721459, -0.7426001378135344, -2.1654465577986, -3.6376094246090807, -4.774932469453242, -5.309879740755506, -5.154008350730252, -4.39170768524113, -3.234142566146033, -1.951059061426842, -0.79748558803257, 0.045497990207789454, 0.5045478750703091, 0.6158226049383204, 0.4903674502577593, 0.2649998670541243, 0.056486013863349296, -0.06807214237689047, -0.09824167345145142, -0.06609972802841575, -0.01986229197024944, 0.0025635374448662912, -0.010200685310554817, -0.042344231603210165, -0.0647568668191293, -0.054736308805483705, -0.011282166805814033, 0.041027045848858495, 0.062035515258230055, 0.016525818165948426, -0.10380129682021, -0.2692320696525953, -0.41774473093808107, -0.47690561544508503, -0.3951804002762799, -0.1713918497086645, 0.1319300781822983, 0.4069708834431108, 0.5430250374549237, 0.48054931385914784, 0.25862836303423614, 0.035345453593130405, 0.06334103029828027, 0.6151885544024869, 1.87870728996012, 3.850420766564418, 6.261074901193581, 8.568810206698798, 10.053296731080772, 9.973372983233144, 7.760037979302262, 3.204220488847068, -3.411755422044638, -11.279879097520341, -19.17547256649748, -25.717391073788143, -29.660126746438166, -30.168852560161753, -27.020406630241958, -20.68980167454718, -12.29358486581598, -3.314147680382478, 4.735070478219421, 10.628795584437304, 13.671097776978067, 13.811368950716204, 11.615701903713376, 8.054073146794794, 4.212732270439624, 1.0159888311577434, -0.9771916785596706, -1.6554900030459336, -1.3061357532173659, -0.455418011929365, 0.3443851738516965, 0.7045898792358076, 0.5100821434547362, -0.0798542263205356, -0.7384060830653689, -1.130963136048962, -1.063803835706102, -0.5707498182367778, 0.09452911608681652, 0.5621221729620983, 0.5162655471515356, -0.13355671413966747, -1.156738371249081, -2.016462617492064, -2.001802172865345, -0.4507027163486996, 2.996438669099052, 8.218783958449634, 14.563029830439852, 20.942020203890653, 26.07143603509314, 28.80296500544689, 28.48626052343175, 25.14592149303579, 19.490059224364707, 12.74680577789084, 6.354433757870953, 1.582068860759249, -0.8254056785084674, -0.8719513086159325, 0.697005142669816, 2.6073620374878472, 3.417941530475532, 1.9455393720381495, -2.3623603074822976, -9.260404551636736, -17.74731568028349, -26.29686942965839, -33.221865304721135, -37.099530257241724, -37.18555980796954, -33.54689646134348, -26.987006926956163, -18.81478605856819, -10.513484695749302, -3.4031750020773526, 1.629917753840674, 4.306832477421768, 4.9138869372970815, 4.115434665157512, 2.7008576094332137, 1.342562950744916, 0.43307038155877436, 0.04631063717648349, 0.006877087525115638, 0.029021860303246168, -0.12928055703203653, -0.5528077688517377, -1.1411429373581874, -1.6698571367958706, -1.9008571148184064, -1.6971135113874414, -1.0986857121109732, -0.332355527824945, 0.2577590615801688, 0.350897521584642, -0.21659495311463212, -1.3695114746116532, -2.792796810529775, -4.014945990113156, -4.550256834444882, -4.070700289929119, -2.535758377227622, -0.2359077827911074, 2.2673881167672043, 4.297195934784, 5.272597826267186, 4.87377203529257, 3.137165612769303, 0.4544471253905025, -2.5294643741706824, -5.0976226301787975, -6.683741234820184, -7.021779841488278, -6.193586481320597, -4.577736609161743, -2.7165507778786697, -1.1427067088657696, -0.21323705422740175, -0.0046751194872266914, -0.31916770043525616, -0.7809125546381701, -0.9854345810705238, -0.6537259368457127, 0.25951710801749783, 1.552565883258715, 2.8516415189824973, 3.745143342863544, 3.9332726419081334, 3.3456663344551587, 2.186312718854221, 0.8702478216981188, -0.10894668201738063, -0.33855497510016896, 0.37387146822485245, 1.9258904141994264, 3.9450385024599965, 5.901055558007246, 7.2618776559135565, 7.648006145141992, 6.940931036433077, 5.318500831174507, 3.2040660132721057, 1.116578871209903, -0.4859246050530558, -1.328988544868952, -1.382045448882368, -0.8424851058954346, -0.04970024018133284, 0.6411519752579258, 0.9752187605374498, 0.8678641683131403, 0.4110873309064054, -0.1807851812644923, -0.6667836292726095, -0.8758070484051889, -0.7643016081117827, -0.4207848062889051, -0.0194231236016112, 0.2583726306920302, 0.3048329641496155, 0.132885389838999, -0.13165834130412524, -0.3071688234853227, -0.24188146800408014, 0.10312225483018236, 0.6091982745587892, 1.0187479899077145, 1.0106260798740914, 0.31041949754057113, -1.1980317792460415, -3.3975139513003794, -5.937395293696454, -8.314938713367498, -10.004052908087077, -10.598469841855884, -9.929562870588803, -8.127784510652596, -5.605164059850845, -2.929935723478864, -0.6710665298022267, 0.7480819447133733, 1.1518306003888623, 0.6422369689325601, -0.45651940275601777, -1.7148351461013867, -2.7281505470645753, -3.2253188964191657, -3.1269999513872953, -2.545113733245957, -1.725349297793325, -0.9300234035308836, -0.34640027859440925, -0.04053656042109057, 0.03795759462098531, 0.00694405386802319, -0.020458236790970648, -0.0036807664182629753, -0.00864469765112166, -0.19118342811327046, -0.7356245034878974, -1.7710360297795615, -3.3003192380020527, -5.167559588558096, -7.076577341675946, -8.65860120607103, -9.570099442407816, -9.595841457243381, -8.727378236069343, -7.154425833495447, -5.206827427934665, -3.263827267345926, -1.6533793848690452, -0.5705952066369626, -0.038131055038202875, 0.07564981108186636, -0.00967328595449159, -0.07121246533832401, 0.04204689841153688, 0.36609888684097697, 0.82474708510599, 1.2746314616848482, 1.5682447894371139, 1.611392153593655, 1.3961308431248136, 1.0002494689234267, 0.5544583740115037, 0.18681260910837152, -0.023566250148048747, -0.0684854234481193, -0.0029667980711074846, 0.08751730070511236, 0.1310253851711538, 0.10296824062959933, 0.034800441545449916, -0.005354615927398373, 0.0478526839195941, 0.21429869165215457, 0.44357678924382127, 0.6228807162613434, 0.6166124152103795, 0.3251748912254618, -0.25775551437642963, -1.0132501937452048, -1.7142868965264637, -2.0891295461934063, -1.9067581837072927, -1.06048539608058, 0.37752019172772555, 2.1512800857145473, 3.8801181751207747, 5.173582802427769, 5.745296232625591, 5.495800188698361, 4.540516268272395, 3.1747804590664104, 1.7818068405835668, 0.695846941795216, 0.09574571237321802, -0.04142345578633723, 0.08543629058340205, 0.1919192851715147, 0.03355376138029894, -0.48193783629056686, -1.239423096769627, -1.9411617129647, -2.2088946022631646, -1.736856851312707, -0.44645686651751826, 1.4363900296039092, 3.3977554021580927, 4.747037015326389, 4.800352506061639, 3.093660591058928, -0.43160307769517564, -5.37813103770134, -10.965251314448926, -16.201005973308334, -20.113421471858384, -21.98655890624592, -21.550452652783186, -19.027618363234183, -15.04714339871287, -10.466908283164422, -6.153407535445496, -2.777841463644118, -0.6810999552797539, 0.1513628004172231, 0.01737032164988898, -0.6344039089778745, -1.3534989696743474, -1.8126931506594384, -1.8790219335816938, -1.5957983800381952, -1.1148298276013182, -0.6143630846706766, -0.2298649815703684, -0.01724175037916151, 0.04591819647633142, 0.027496460084852573, -0.0033860149406599012, -0.008088184008624521, 0.013360004538861419, 0.03643901984987803, 0.03791654978747405, 0.017057534655747105, -0.0007993224736403172, 0.019917060406357347, 0.09818720609959056, 0.21367251404465396, 0.3044122707138727, 0.2894755726011871, 0.1081679900503671, -0.24078866111686298, -0.6799253151095959, -1.068164710370891, -1.2541236647867051, -1.1475024153255318, -0.7732015535034878, -0.2821425409572544, 0.096168117178242, 0.15416741556310168, -0.1702836842305179, -0.7070781097729008, -1.0518497082775913, -0.6678263988645524, 0.9203029853083116, 3.8868828272549742, 7.90381810985713, 12.094007798408942, 15.171251209614137, 15.759480254499127, 12.830441384962038, 6.150500448886743, -3.4191031538491026, -13.944024106236663, -22.7502379967113, -27.02470534250904, -24.564167235477015, -14.503671389697177, 2.206396428714644, 22.895919783789832, 43.684893587576525, 60.320168829003265, 69.1745284632118, 68.20395319517478, 57.64241690709116, 39.92140067209564, 19.05550538179134, -0.3318434209378128, -14.136361223362417, -19.788623486299763, -16.903188328165434, -7.290216384648062, 5.623441794711942, 17.748916174337385, 25.416346959132447, 26.33383983824387, 20.202570011390858, 8.6244176124247, -5.465937438802112, -18.644528480239618, -27.903599133156142, -31.39762691043885, -28.8577290067742, -21.483025389916595, -11.453696320259345, -1.265942601491123, 6.925817600091685, 11.801166209576126, 13.100037482612393, 11.475803108244072, 8.12449917924744, 4.351084251016948, 1.1982643404901792, -0.7733438584241222, -1.5219351923512363, -1.3800751531975077, -0.8256496549821524, -0.2731407732232843, 0.050641321250125444, 0.12379581286564734, 0.058346774654716625, -0.011215020243228891, -0.018795976830622126, 0.002222508929306987, -0.0472603826801782, -0.2581598755857126, -0.6437927258611075, -1.114881772906452, -1.5103202858780584, -1.669375031581311, -1.5116552414145368, -1.086961654859935, -0.563827155334283, -0.14229495668862654, 0.04970605770033466, 0.025639845274436315, -0.06705821588626235, -0.049424240784337985, 0.11032208544660148, 0.10663722453223336, -0.8111589452808122, -3.7895430701097634, -10.130533066756168, -20.893840099880588, -36.47473074336158, -56.25662679828428, -78.46154194639925, -100.28771582382, -118.34730359705715, -129.38825936254463, -131.2138760266753, -123.14300665713512, -106.19399788077595, -82.94164682252064, -57.02367550912184, -32.39075221989892, -12.416255747473922, 0.8327178509441313, 6.90282069884238, 6.870343882352319, 2.9180505087739155, -2.3121424825255525, -6.4521641006058825, -7.988895094988926, -6.502742691132651, -2.591896412783426, 2.45432374252979, 7.127638140687698, 10.204015612351734, 11.078750656572696, 9.848226355709265, 7.181044657787985, 4.045825082136076, 1.3910670612458773, -0.13116805915375168, -0.31989188159388, 0.5952554604223632, 2.0972910121599138, 3.583104124241041, 4.560274402012683, 4.789191264428587, 4.298576242280026, 3.315333174246269, 2.153283126540128, 1.1008118037221888, 0.3422736210368903, -0.07088103734512065, -0.20009697023431708, -0.16282040363245587, -0.0737535924054552, -0.006335092032573147, 0.01722291605451226, 0.011327233301976266, 0.0007401427290833862, -0.0007416487821749386, 0.002609261458309143, -0.004057386503295544, -0.031052557263703127, -0.07222462631414828, -0.10462152302331898, -0.1003446895202387, -0.04462122411963831, 0.04946405112577958, 0.13859803721079916, 0.1642117298967274, 0.0794571747771159, -0.12450250800789298, -0.40409352718308367, -0.6687393827056473, -0.8078438928203899, -0.7334051252888799, -0.41518020738494965, 0.10274364358556334, 0.7095917884378816, 1.2587843477299483, 1.6135765878405366, 1.69494233846225, 1.504805471247095, 1.1190040873355105, 0.6571605327041583, 0.24089295823528084, -0.04449655746693168, -0.17238268251291256, -0.17318285998428237, -0.1091661837053928, -0.04140680806866347, -0.0042177156039063315, 0.002275201442905251, -0.0007446867932432078, 0.004115628695677118, 0.00770481117398823, -0.032293012585733576, -0.1747545855914944, -0.45895607097781355, -0.8668969650454287, -1.304164154016664, -1.6107859671119906, -1.6045906256859606, -1.1465752404945153, -0.20860280788971308, 1.0855178252743514, 2.481100385054027, 3.65612054845108, 4.312229934911723, 4.268677940361245, 3.530431717631324, 2.3084986713584748, 0.958714244224801, -0.14196884223333714, -0.730192374876167, -0.7500503306102595, -0.36877422892448425, 0.10624001176530362, 0.39751514467509336, 0.3823149868767892, 0.14934272608798085], 'positive_zeros': ['0.22316160599425444163387351790399', '0.55164722450051100403758847715563', '1.31163375389445785080215730663082', '1.58567693003855994962986159818286', '1.64158599577505187000417045551921', '1.70398043451543250361502145970523', '1.87335476968152249903907577889290', '2.41266216664206534659795890325660', '2.60874542782096559274396435377049', '2.70808361790408769566856713064380', '2.88744657702586208518653963793459', '3.20418563321536068065469943683333', '3.37616086036901105644933970645847', '3.37679528059963927372121302262086', '3.61896890045984704043603794983980', '3.71050838011052802892397165134033', '4.01358151081215318121851385749749', '4.05288195739382967816771783181792', '4.10572417762547674284809227889927', '4.78496160871144732162276814711002', '4.80860422408671284565946724250175', '4.82035851860667695339351919157065', '4.94156578610376667125273716063489', '5.10059652804735857263724118838816', '5.18091671986280360337340663576579', '5.41107166601271901234553245980422', '5.63610510628821340223439671272784', '5.99400507853092004260572324591088', '5.99866644849616802944813079688772', '6.01325263220962409329849966775634', '6.43680761381306210675429554561413', '6.58622649637564513378121975557020', '6.61366887985976948498763687536325', '6.75619879491873938563068586270207', '7.10077601123258952476627604911360', '7.15113498477403410666042131865169', '7.19251002330572977704566021060223', '7.48045977610309180578869957955859', '7.60323463006521486676244594223938', '7.66333827151791883220836374355437', '7.75936140975468510766284008071585', '7.84363437286497935961120077927401', '8.001137451819947324514441659516106', '8.300475888816108055494294514740181', '8.485459141860654492998577620945162', '8.503103355968150263114250909783531', '8.695595420410064006317286560541998', '8.898184799462196020115279225250738', '8.931683677950106157258207620672628', '8.948263558259458646284575623335386', '9.018434443350078113560278080816292', '9.299228093564783449969657027776056', '9.321136161266522709633899826946899', '9.419974006724268869879423167624364', '9.687602445260114606273962647417725', '9.814535013099131254559744105718982', '10.05377638928067847505445476804529', '10.19041742107306231014093081868571', '10.26013723112315403751006893547310', '10.52816180307033288232081455851093'], 'prelabel': '12-912e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.6985841962667707, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e6-0', 'trace_hash': 781601224780308507, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.22316160599425444163387351790', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.55164722450051100403758847716', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.31163375389445785080215730663', 'prec': 103}}
• lfunc_search •

  Column	Type
  algebraic	boolean
  analytic_conductor	double precision
  bad_primes	bigint[]
  central_character	text
  conductor	numeric
  conductor_radical	bigint
  degree	smallint
  dirichlet_coefficients	numeric[]
  euler11	numeric[]
  euler13	numeric[]
  euler17	numeric[]
  euler19	numeric[]
  euler2	numeric[]
  euler23	numeric[]
  euler29	numeric[]
  euler3	numeric[]
  euler31	numeric[]
  euler37	numeric[]
  euler41	numeric[]
  euler43	numeric[]
  euler47	numeric[]
  euler5	numeric[]
  euler53	numeric[]
  euler59	numeric[]
  euler61	numeric[]
  euler67	numeric[]
  euler7	numeric[]
  euler71	numeric[]
  euler73	numeric[]
  euler79	numeric[]
  euler83	numeric[]
  euler89	numeric[]
  euler97	numeric[]
  euler_factors	numeric[]
  index	smallint
  instance_types	text[]
  instance_urls	text[]
  is_instance_Artin	boolean
  is_instance_BMF	boolean
  is_instance_CMF	boolean
  is_instance_DIR	boolean
  is_instance_ECNF	boolean
  is_instance_ECQ	boolean
  is_instance_G2Q	boolean
  is_instance_HMF	boolean
  is_instance_MaassGL3	boolean
  is_instance_MaassGL4	boolean
  is_instance_MaassGSp4	boolean
  is_instance_NF	boolean
  label	text
  motivic_weight	smallint
  mu_imag	numeric[]
  mu_real	smallint[]
  nu_imag	numeric[]
  nu_real_doubled	smallint[]
  order_of_vanishing	smallint
  prelabel	text
  primitive	boolean
  rational	boolean
  root_analytic_conductor	double precision
  root_angle	double precision
  self_dual	boolean
  spectral_label	text
  trace_hash	bigint
  z1	numeric

  
  {'algebraic': True, 'analytic_conductor': 149152.88977532112, 'bad_primes': [2, 3, 19], 'central_character': '1.1', 'conductor': 575398903529078784, 'conductor_radical': 114, 'degree': 12, 'dirichlet_coefficients': [1, 0, 3, 0, -2, 0, 2, 0, 3, 0, 0, 0, 1, 0, -6, 0, 0, 0, -4, 0, 6, 0, 14, 0, 7, 0, -2, 0, -4, 0, -30, 0, 0, 0, -4, 0, -6, 0, 3, 0, 4, 0, -3, 0, -6, 0, -18, 0, -21, 0, 0, 0, 6, 0, 0, 0, -12, 0, 0, 0, -13, 0, 6, 0, -2, 0, 9, 0, 42, 0, -18, 0, -19, 0, 21, 0, 0, 0, 11, 0, -9, 0, 8, 0, 0, 0, -12, 0, 16, 0, 2, 0, -90, 0, 8, 0, 2, 0, 0, 0], 'euler11': [1, 0, 18, 72, 279, 648, 5740, 7128, 33759, 95832, 263538, 0, 1771561], 'euler13': [1, -1, -17, 40, 61, -223, 854, -2899, 10309, 87880, -485537, -371293, 4826809], 'euler17': [1, 0, -51, 0, 1734, 0, -34391, 0, 501126, 0, -4259571, 0, 24137569], 'euler19': [1, 4, 17, 136, 323, 1444, 6859, 0, 0, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, -14, 99, -382, 346, 7726, -57613, 177698, 183034, -4647794, 27704259, -90108802, 148035889], 'euler29': [1, 4, -39, -52, 886, -1916, -33907, -55564, 745126, -1268228, -27583959, 82044596, 594823321], 'euler3': [1, -3, 6, -7, 6, -3, 1, 0, 0, 0, 0, 0, 0], 'euler31': [1, 30, 513, 6118, 56634, 421662, 2585865, 13071522, 54425274, 182261338, 473766273, 858874530, 887503681], 'euler37': [1, 6, 237, 1130, 22770, 84366, 1137381, 3121542, 31172130, 57237890, 444176157, 416063742, 2565726409], 'euler41': [1, -4, -75, 100, 3622, 2012, -174751, 82492, 6088582, 6892100, -211932075, -463424804, 4750104241], 'euler43': [1, 3, -99, -218, 6207, 6951, -285738, 298893, 11476743, -17332526, -338461299, 441025329, 6321363049], 'euler47': [1, 18, 75, 666, 15954, 93546, 218347, 4396662, 35242386, 69146118, 365976075, 4128210126, 10779215329], 'euler5': [1, 2, -3, -2, -2, -34, -31, -170, -50, -250, -1875, 6250, 15625], 'euler53': [1, -6, -51, 102, 1086, 11334, -107183, 600702, 3050574, 15185454, -402414531, -2509172958, 22164361129], 'euler59': [1, 0, -153, -72, 14382, 5508, -969077, 324972, 50063742, -14787288, -1853956233, 0, 42180533641], 'euler61': [1, 13, -25, -504, 6133, 34211, -181514, 2086871, 22820893, -114398424, -346146025, 10979751913, 51520374361], 'euler67': [1, -9, -39, 250, 375, 24519, -284658, 1642773, 1683375, 75190750, -785893719, -12151125963, 90458382169], 'euler7': [1, -2, 25, -58, 346, -674, 3089, -4718, 16954, -19894, 60025, -33614, 117649], 'euler71': [1, 18, 99, 234, 306, -55062, -871373, -3909402, 1542546, 83751174, 2515756419, 32476128318, 128100283921], 'euler73': [1, 19, 59, 252, 17041, 91889, -279578, 6707897, 90811489, 98032284, 1675496219, 39388360267, 151334226289], 'euler79': [1, -11, -119, 494, 21403, -27611, -1863994, -2181269, 133576123, 243561266, -4635059639, -33847620389, 243087455521], 'euler83': [1, -8, 354, -2296, 60391, -326864, 6327932, -27129712, 416033599, -1312822952, 16800245634, -31512325144, 326940373369], 'euler89': [1, -16, -87, 424, 39826, -163780, -2350663, -14576420, 315461746, 298906856, -5458574967, -89344951184, 496981290961], 'euler97': [1, -2, -19, -2166, 418, 14486, 2859997, 1405142, 3932962, -1976849718, -1682056339, -17174680514, 832972004929], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -3, 6, -7, 6, -3, 1, 0, 0, 0, 0, 0, 0], [1, 2, -3, -2, -2, -34, -31, -170, -50, -250, -1875, 6250, 15625], [1, -2, 25, -58, 346, -674, 3089, -4718, 16954, -19894, 60025, -33614, 117649], [1, 0, 18, 72, 279, 648, 5740, 7128, 33759, 95832, 263538, 0, 1771561], [1, -1, -17, 40, 61, -223, 854, -2899, 10309, 87880, -485537, -371293, 4826809], [1, 0, -51, 0, 1734, 0, -34391, 0, 501126, 0, -4259571, 0, 24137569], [1, 4, 17, 136, 323, 1444, 6859, 0, 0, 0, 0, 0, 0], [1, -14, 99, -382, 346, 7726, -57613, 177698, 183034, -4647794, 27704259, -90108802, 148035889], [1, 4, -39, -52, 886, -1916, -33907, -55564, 745126, -1268228, -27583959, 82044596, 594823321], [1, 30, 513, 6118, 56634, 421662, 2585865, 13071522, 54425274, 182261338, 473766273, 858874530, 887503681], [1, 6, 237, 1130, 22770, 84366, 1137381, 3121542, 31172130, 57237890, 444176157, 416063742, 2565726409], [1, -4, -75, 100, 3622, 2012, -174751, 82492, 6088582, 6892100, -211932075, -463424804, 4750104241], [1, 3, -99, -218, 6207, 6951, -285738, 298893, 11476743, -17332526, -338461299, 441025329, 6321363049], [1, 18, 75, 666, 15954, 93546, 218347, 4396662, 35242386, 69146118, 365976075, 4128210126, 10779215329], [1, -6, -51, 102, 1086, 11334, -107183, 600702, 3050574, 15185454, -402414531, -2509172958, 22164361129], [1, 0, -153, -72, 14382, 5508, -969077, 324972, 50063742, -14787288, -1853956233, 0, 42180533641], [1, 13, -25, -504, 6133, 34211, -181514, 2086871, 22820893, -114398424, -346146025, 10979751913, 51520374361], [1, -9, -39, 250, 375, 24519, -284658, 1642773, 1683375, 75190750, -785893719, -12151125963, 90458382169], [1, 18, 99, 234, 306, -55062, -871373, -3909402, 1542546, 83751174, 2515756419, 32476128318, 128100283921], [1, 19, 59, 252, 17041, 91889, -279578, 6707897, 90811489, 98032284, 1675496219, 39388360267, 151334226289], [1, -11, -119, 494, 21403, -27611, -1863994, -2181269, 133576123, 243561266, -4635059639, -33847620389, 243087455521], [1, -8, 354, -2296, 60391, -326864, 6327932, -27129712, 416033599, -1312822952, 16800245634, -31512325144, 326940373369], [1, -16, -87, 424, 39826, -163780, -2350663, -14576420, 315461746, 298906856, -5458574967, -89344951184, 496981290961], [1, -2, -19, -2166, 418, 14486, 2859997, 1405142, 3932962, -1976849718, -1682056339, -17174680514, 832972004929]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/912/2/q/l'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '12-912e6-1.1-c1e6-0-2', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-912e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.6985841962667707, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 781601224780308507, 'z1': {'__RealLiteral__': 0, 'data': '0.22316160599425444163387351790', 'prec': 103}}
• lfunc_instances •

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

  
  {'Lhash': '282890943786512279262956530965,699295935252309590459920550911,1662693315403915217878271413392,2010084312131436639994094090901,2080957472870500157363018325478,2160051820590647157198633551686', 'Lhash_array': ['282890943786512279262956530965', '699295935252309590459920550911', '1662693315403915217878271413392', '2010084312131436639994094090901', '2080957472870500157363018325478', '2160051820590647157198633551686'], 'label': '12-912e6-1.1-c1e6-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/912/2/q/l'}