Lfunction data - 10-920e5-1.1-c1e5-0-0

Formats: - HTML - YAML - JSON - 2024-04-19T06:33:28.153871

• 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': '594105054179868854724624793935,852687509300655594564296540323,1365297339654299403539305247381,1732344985203418674604851697457,1820304001600545009408966551346', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': -5, 'a6': 0, 'a7': -2, 'a8': 0, 'a9': -1, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 21395.609942825544, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [5, [1, 5, 10, 10, 5, 1]], [23, [1, 5, 10, 10, 5, 1]]], 'bad_primes': [2, 5, 23], 'central_character': '920.1', 'coefficient_field': '1.1.1.1', 'conductor': 659081523200000, 'conductor_radical': 230, 'degree': 10, 'euler_factors': [[1], [1, 0, 1, -1, -4, 10, -12, -9, 27, 0, 243], [1, 5, 10, 10, 5, 1], [1, 2, 7, -1, 30, 46, 210, -49, 2401, 4802, 16807], [1, 1, 20, 16, 227, 174, 2497, 1936, 26620, 14641, 161051], [1, -4, 19, -133, 496, -1606, 6448, -22477, 41743, -114244, 371293], [1, -4, 39, -115, 406, -1566, 6902, -33235, 191607, -334084, 1419857], [1, -7, 54, -352, 1949, -7810, 37031, -127072, 370386, -912247, 2476099], [1, 5, 10, 10, 5, 1], [1, -4, 104, -500, 4907, -22264, 142303, -420500, 2536456, -2829124, 20511149], [1, -19, 227, -2173, 16253, -98336, 503843, -2088253, 6762557, -17546899, 28629151], [1, -15, 249, -2256, 20618, -125810, 762866, -3088464, 12612597, -28112415, 69343957], [1, -25, 417, -4753, 42913, -303514, 1759433, -7989793, 28740057, -70644025, 115856201], [1, 0, 215, 0, 18490, 0, 795070, 0, 17094005, 0, 147008443], [1, 11, 125, 952, 5780, 41402, 271660, 2102968, 12977875, 53676491, 229345007], [1, -3, 105, -196, 8458, -24194, 448274, -550564, 15632085, -23671443, 418195493], [1, 1, 153, 0, 14236, 6606, 839924, 0, 31422987, 12117361, 714924299], [1, 5, 190, 652, 18257, 49998, 1113677, 2426092, 43126390, 69229205, 844596301], [1, -9, 209, -1980, 24396, -176326, 1634532, -8888220, 62859467, -181360089, 1350125107], [1, -1, 141, 123, 12967, 23580, 920657, 620043, 50465451, -25411681, 1804229351], [1, 1, 207, 20, 20760, -9066, 1515480, 106580, 80526519, 28398241, 2073071593], [1, 2, 267, 760, 34506, 94092, 2725974, 4743160, 131641413, 77900162, 3077056399], [1, 45, 1199, 21528, 290714, 2994854, 24129262, 148306392, 685572613, 2135624445, 3939040643], [1, -6, 309, -1624, 45458, -202212, 4045762, -12863704, 217835421, -376453446, 5584059449], [1, -25, 446, -5536, 65833, -653150, 6385801, -52088224, 407052158, -2213232025, 8587340257], [1, 11, 339, 3036, 58024, 400386, 5860424, 30970236, 349272039, 1144664411, 10510100501], [1, 9, 360, 2216, 57555, 273470, 5928165, 23509544, 393381720, 1012957929, 11592740743], [1, 45, 1267, 24516, 365646, 4232462, 39124122, 280683684, 1552129481, 5898582045, 14025517307], [1, 13, 374, 3476, 64497, 490366, 7030173, 41298356, 484340846, 1835056093, 15386239549], [1, -9, 307, -2768, 53564, -427470, 6052732, -35344592, 442969379, -1467426249, 18424351793]], 'euler_factors_factorization': [[1], [[[1, 0, 1, -1, -4, 10, -12, -9, 27, 0, 243], 1]], [[[1, 1], 5]], [[[1, 2, 7, -1, 30, 46, 210, -49, 2401, 4802, 16807], 1]], [[[1, 1, 20, 16, 227, 174, 2497, 1936, 26620, 14641, 161051], 1]], [[[1, -4, 19, -133, 496, -1606, 6448, -22477, 41743, -114244, 371293], 1]], [[[1, -4, 39, -115, 406, -1566, 6902, -33235, 191607, -334084, 1419857], 1]], [[[1, -7, 54, -352, 1949, -7810, 37031, -127072, 370386, -912247, 2476099], 1]], [[[1, 1], 5]], [[[1, -4, 104, -500, 4907, -22264, 142303, -420500, 2536456, -2829124, 20511149], 1]], [[[1, -19, 227, -2173, 16253, -98336, 503843, -2088253, 6762557, -17546899, 28629151], 1]], [[[1, -15, 249, -2256, 20618, -125810, 762866, -3088464, 12612597, -28112415, 69343957], 1]], [[[1, -25, 417, -4753, 42913, -303514, 1759433, -7989793, 28740057, -70644025, 115856201], 1]], [[[1, 0, 43], 5]], [[[1, 11, 125, 952, 5780, 41402, 271660, 2102968, 12977875, 53676491, 229345007], 1]], [[[1, -3, 105, -196, 8458, -24194, 448274, -550564, 15632085, -23671443, 418195493], 1]], [[[1, 1, 153, 0, 14236, 6606, 839924, 0, 31422987, 12117361, 714924299], 1]], [[[1, 5, 190, 652, 18257, 49998, 1113677, 2426092, 43126390, 69229205, 844596301], 1]], [[[1, -9, 209, -1980, 24396, -176326, 1634532, -8888220, 62859467, -181360089, 1350125107], 1]], [[[1, -1, 141, 123, 12967, 23580, 920657, 620043, 50465451, -25411681, 1804229351], 1]], [[[1, 1, 207, 20, 20760, -9066, 1515480, 106580, 80526519, 28398241, 2073071593], 1]], [[[1, 2, 267, 760, 34506, 94092, 2725974, 4743160, 131641413, 77900162, 3077056399], 1]], [[[1, 45, 1199, 21528, 290714, 2994854, 24129262, 148306392, 685572613, 2135624445, 3939040643], 1]], [[[1, -6, 309, -1624, 45458, -202212, 4045762, -12863704, 217835421, -376453446, 5584059449], 1]], [[[1, -25, 446, -5536, 65833, -653150, 6385801, -52088224, 407052158, -2213232025, 8587340257], 1]], [[[1, 11, 339, 3036, 58024, 400386, 5860424, 30970236, 349272039, 1144664411, 10510100501], 1]], [[[1, 9, 360, 2216, 57555, 273470, 5928165, 23509544, 393381720, 1012957929, 11592740743], 1]], [[[1, 45, 1267, 24516, 365646, 4232462, 39124122, 280683684, 1552129481, 5898582045, 14025517307], 1]], [[[1, 13, 374, 3476, 64497, 490366, 7030173, 41298356, 484340846, 1835056093, 15386239549], 1]], [[[1, -9, 307, -2768, 53564, -427470, 6052732, -35344592, 442969379, -1467426249, 18424351793], 1]]], 'gamma_factors': [[], [0, 0, 0, 0, 0]], 'group': 'GL2', 'index': 0, 'label': '10-920e5-1.1-c1e5-0-0', '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}], 'nu_real_doubled': [1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/920/2/a/j', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, 'plot_values': [2.4091763564572926, 2.3777685126610058, 2.341085167194988, 2.2938269792412957, 2.2310086894000274, 2.1481331864763136, 2.042407430277277, 1.9156962983420849, 1.7712354598014803, 1.6125190264228695, 1.4432146052143586, 1.2668411712345191, 1.0861173146394123, 0.9038657190269862, 0.7232487031501343, 0.5477170332495916, 0.38097837363485837, 0.22697910711312871, 0.08960225388007811, -0.02750955379815656, -0.12109210391388253, -0.18840132056559847, -0.22736218582454423, -0.2367361564944112, -0.21625283761637779, -0.16671746821612815, -0.09010277268327796, 0.010357459281585232, 0.13018614423387015, 0.2637560986627625, 0.4044361022313996, 0.5447823210883521, 0.6767808404699143, 0.7922694144955409, 0.8833697692363542, 0.9429317052667886, 0.9649940351234221, 0.9452902610952305, 0.8817243893542646, 0.7747149014178705, 0.6274217528730563, 0.4458640224672778, 0.23894371793742414, 0.018092956143677775, -0.2032894871153406, -0.41059238807989756, -0.5889272986423447, -0.7242505093192676, -0.8047967089208206, -0.8225117854961, -0.7744515539054674, -0.6641068005074471, -0.5026156079061272, -0.3096164752643968, -0.11365008522885159, 0.04792132288874732, 0.12953386182269166, 0.07869017733845693, -0.1620268604787726, -0.6523774694036438, -1.4513794661875798, -2.613790090543649, -4.1862144727954735, -6.203233517376782, -8.683696325416225, -11.627381448816095, -15.012459843626804, -18.79444804183003, -22.90539522981566, -27.254258711989117, -31.728667833812835, -36.19890005872504, -40.52558883967558, -44.56356640621694, -48.16720746069402, -51.197030265620405, -53.52844821743729, -55.06456047247721, -55.73670321778991, -55.50672145110727, -54.369766053210654, -52.35807502452788, -49.54716469306004, -46.04447194594449, -41.9818010987708, -37.50916274906435, -32.789651966189666, -27.995813480281228, -23.292857054028016, -18.8288161307622, -14.728261579698968, -11.088369931131792, -7.976892541245682, -5.426322313417895, -3.434666918475678, -1.9694461826092151, -0.9733886495567013, -0.37101593789945414, -0.0752623725203805, 0.0043541407435333515, -0.046026505464469014, -0.15110446918739728, -0.2512934684120046, -0.30585429086241356, -0.29389981929222514, -0.21324711790560089, -0.0774306635591468, 0.08866075071097274, 0.2541040466421472, 0.387539112692386, 0.4623674418830253, 0.46097154030059206, 0.37747375163156116, 0.21876623485548194, 0.0037589791655234417, -0.23907377652408346, -0.47558217001617736, -0.6707110071861002, -0.7932615988290794, -0.8203984050850128, -0.741355274614793, -0.5596287624846202, -0.29253717549649455, 0.030377658390232716, 0.3701987131317675, 0.6828040320553335, 0.9245722873131033, 1.0601187329156012, 1.065566253220207, 0.9310810119295377, 0.6625191473576276, 0.2821572624076784, -0.17150701545472402, -0.6507521958319029, -1.1048458130967325, -1.48576721129219, -1.7534864126859544, -1.880848348795436, -1.8585315051566356, -1.6961382708398547, -1.4206591212409059, -1.0730471275180735, -0.7034067993071, -0.36409557676732845, -0.1024356156288156, 0.045723032821182, 0.06088863796787637, -0.057105892692127846, -0.2886113795178032, -0.5966929719084297, -0.9321136704440136, -1.2400636286018452, -1.467802650066763, -1.5722578993337109, -1.526402221916632, -1.3235264604937351, -0.9787849949090199, -0.5275699499408142, -0.020811414808167013, 0.4817758440616692, 0.9198203983122967, 1.2409409517349217, 1.4088271366058978, 1.4081456520432667, 1.246753928511697, 0.9549261940450544, 0.5814096436070765, 0.18616696016062254, -0.1689398774200738, -0.4291203354085868, -0.5546819419589419, -0.5273716381097082, -0.3540996654917919, -0.06517463268318352, 0.2906425306125773, 0.653526640282131, 0.9617865478612945, 1.162339153011835, 1.2198724743695442, 1.1224674953852554, 0.8835447744861016, 0.5400828365486677, 0.1471321994581355, -0.23249396882255838, -0.5395655800844918, -0.7290648031462327, -0.7786348122696524, -0.6935937681217963, -0.5063769143615465, -0.269970198225946, -0.04638483352772276, 0.10834828367258811, 0.16070157138912902, 0.11506554792113421, 0.024730493799616716, -0.0038800109771632034, 0.18462178106754104, 0.7815545563100527, 1.9930682416771934, 4.0126246476904095, 6.989848842110038, 11.000859226433882, 16.02941597198923, 21.951927878464744, 28.531931539696476, 35.42737295902382, 42.21714601891786, 48.45819221843224, 53.715081753305455, 57.59449470882674, 59.78310034608304, 60.09054014798346, 58.5021283279767, 55.15110852258687, 50.29466079678244, 44.28915309041634, 37.56412076054067, 30.596472617850182, 23.83354368593242, 17.64772642575874, 12.310998241390264, 7.983734727308727, 4.715114990244854, 2.444605207966973, 1.0275637208999493, 0.26969257342852027, -0.03798141149364844, -0.08841577946372702, -0.03506491778352333, 0.022013340450471677, 0.03793575338774015, 0.013771661982030722, -0.02072478496391381, -0.02844656321413851, 0.014228999144641312, 0.10148717804168245, 0.190423869275939, 0.20338836408375252, 0.039685768283716116, -0.40516329046839933, -1.2157194012647388, -2.4335501419343832, -4.043142754899528, -5.964297182969365, -8.053527736195203, -10.116267873321442, -11.932579079964214, -13.300521258111885, -14.05934937615437, -14.109953354227299, -13.430945934796345, -12.089411823748323, -10.245417501606175, -8.113723549109606, -5.928521288157571, -3.9108962927201376, -2.2396800991102035, -1.0269208347635614, -0.2950825612413984, 0.02180339775459226, 0.061252299984517804, 0.0051195995479493975, 0.04583501099404125, 0.34971366564067713, 1.0248776209583925, 2.100203790804694, 3.5183536555177097, 5.143748063394111, 6.78496710784183, 8.227188665754301, 9.268987700964793, 9.758000561104964, 9.619760493217084, 8.868912806499614, 7.606993525702814, 6.00657166499665, 4.2835282070910985, 2.6608914067165195, 1.3310677650127163, 0.42646860910767886, 0.0005956472291001907, 0.02224844155784404, 0.38594674385775285, 0.9364689195505972, 1.499352131058463, 1.9131803341082243, 2.060039303823342, 1.8903350536814927, 1.4271930438947034, 0.7581851803665365, 0.017106367208744075, -0.6417499753467201, -1.0744415654745947, -1.1781083278991964, -0.910048838110964, -0.2949699555513258, 0.5793018776458535, 1.5772665032746314, 2.5423805906960197, 3.325897679320649, 3.8125775395703285, 3.939720687773313, 3.707483911207402, 3.1751298458440984, 2.446370275705192, 1.6476473873833466, 0.903536773334909, 0.31391267212016466, -0.06281713335518094, -0.2170804321894962, -0.1854330152334268, -0.038636708916453925, 0.13700102084685448, 0.25960231885258733, 0.2689472842616182, 0.13848869337630748, -0.12038790860151936, -0.46449717187510536, -0.8311618644942395, -1.1526208793619692, -1.3706176197236444, -1.4494252789888296, -1.3854884000199192, -1.2030219172730123, -0.9451718475402592, -0.6630208148016378, -0.4042964875884817, -0.20350787577200952, -0.07429971271506315, -0.010338044377491407, 0.008182456200866165, 0.005287330897008125, 7.142143716913941e-05, 0.0005682650165847973, 0.003588023987531938, 0.0016003986592171397, -0.004525589798638407, 0.010055147103284888, 0.10796710613459817, 0.3964857212363565, 1.0231079150715563, 2.157629918999114, 3.9629088914404362, 6.556410771632411, 9.968040612851201, 14.102322387230954, 18.718612445539698, 23.451101581391946, 27.830657540027907, 31.32695531636524, 33.41195467094766, 33.64814194498081, 31.804099936603635, 27.872417699131862, 22.0774722140226, 14.86739048181305, 6.885524597466054, -1.0875208660393354, -8.27632084995468, -14.015541520025725, -17.827327143982803, -19.476323779601096, -19.007144408552694, -16.729902997084693, -13.153952399365611, -8.898716620782897, -4.598663093217241, -0.8150853295620891, 2.0471304036323263, 3.7846450775139195, 4.400540815248348, 4.074211313844264, 3.1043674062698536, 1.8371122805803521, 0.595798127099938, -0.37551478699277974, -0.94654612769875, -1.1078762490852132, -0.9457145089631388, -0.6020323559295676, -0.2291394623820595, 0.052205988269512206, 0.1824548525842899, 0.1706170958310028, 0.07974711916567268, -0.0018518758286336504, 0.004091616140485424, 0.1333723842530863, 0.36052817754005756, 0.6004739486351481, 0.729631518233229, 0.6229785317032177, 0.20044850449955773, -0.5349434465760206, -1.4762169361726432, -2.4143013524755217, -3.065739744478389, -3.128278855757115, -2.349545981789177, -0.5914823698149727, 2.1209937967335, 5.57703262968869, 9.390492622022983, 13.055663276034267, 16.028734083275157, 17.821659726699963, 18.09413528437413, 16.727749532689604, 13.854084287712208, 9.841427327167404, 5.24033894590963, 0.6929093341134333, -3.1822167687682503, -5.891720838845989, -7.145679355254615, -6.902860948090513, -5.374122472375804, -2.972965695650362, -0.22251488499445887, 2.3399547032990298, 4.25438155386298, 5.21724220139717, 5.138847538404478, 4.130717130350805, 2.4603171106669253, 0.48714534878178467, -1.410730924476858, -2.912811469306825, -3.8192288623977184, -4.072578268303837, -3.7473642998241137, -3.0161168409843944, -2.101341444232561, -1.2156192799799195, -0.5144785546634575, -0.07140470294080471, 0.12290780707088281, 0.13974168446414575, 0.07672611279272856, 0.017627830717713566, -0.0005182873136683936, -0.003682533647009418, -0.07601131672861094, -0.33605602213711366, -0.9000250635747746, -1.8403646225020844, -3.1519834914200264, -4.744329356622231, -6.448327022801716, -8.039096519301937, -9.273595762113619, -9.942713141661036, -9.936465734118597, -9.252147297637377, -7.9883809107281145, -6.327356172121371, -4.5068492908361195, -2.783188683027415, -1.365054709441819, -0.3778219375352027, 0.14765079144483345, 0.2674289289301519, 0.10288931602900529, -0.19333088871237034, -0.47750083446209995, -0.6468499956459871, -0.6568383538349872, -0.5217466494754669, -0.30003472150462873, -0.06936762383277781, 0.10073781891950323, 0.17079093029343764, 0.14162484773092274, 0.05089795970802808, -0.041795297738984515, -0.07657093188429732, -0.015123485167932972, 0.14548279710234363, 0.37155360831202683, 0.6023356824913808, 0.7683801635736326, 0.8151665647806197, 0.7261029048698077, 0.5277597617581873, 0.28275395474044634, 0.07227656676124067, -0.028890091124482393, 0.01967079040992, 0.20374970769186565, 0.45300436720547427, 0.6568821177673296, 0.6951203064334764, 0.47914398533893243, -0.008050708104764192, -0.6879712327425731, -1.3858085478228694, -1.855134021487007, -1.8252481734729937, -1.0652867790419664, 0.5511998182136232, 2.9966289614074393, 6.070737569582859, 9.429171709985884, 12.633318398696158, 15.2220350875007, 16.796152593444667, 17.106107374032028, 16.128720926475612, 14.047079072323095, 11.206705460075447, 8.050362110175548, 5.037903514291319, 2.5599479700766246, 0.8443931654556381, -0.07443035858595075, -0.33958948576086084, -0.21932982485495076, -0.029991498853977817, -0.05065790808415538, -0.45066468118850067, -1.2493176510124246, -2.316221571456293, -3.416511096305262, -4.2816986258732515, -4.685832706565718, -4.508979884020477, -3.7744402533052908, -2.652085833637457, -1.4071651260954083, -0.32633044694595503, 0.36010267722898015, 0.540996296080875, 0.2546726632617448, -0.323728587298374, -0.9364356923122499, -1.3251171580639223, -1.3208377319847362, -0.9158349739233619, -0.2882821033123734, 0.22147375745514686, 0.18241229304922355, -0.8171611934089759, -3.0465473367881475, -6.540546400003294, -11.05158834493713, -16.055933251484504, -20.826635506222633, -24.592916927030817, -26.68995545274492, -26.684294070827892, -24.462841188669, -20.276935540211802, -14.737257908818556, -8.662993948133666, -2.913777357442158, 1.7671595021352222, 4.878688447869937, 6.239457266492788, 6.007284394946271, 4.613675776783354, 2.644026183601308, 0.6955618046700253, -0.7541028880414102, -1.4361616941210946, -1.3244449338617486, -0.6098662060374859, 0.37699863557003044, 1.2744782617099362, 1.7879944429911558, 1.760582726011286, 1.205325338387126, 0.2898671640785226, -0.7342551175655071, -1.6104085068273437, -2.1424399149864044, -2.240456041775882, -1.9411305127455396, -1.3962247204066107, -0.7990849143423823, -0.3179379080828532, -0.04882753283517303, 0.005630879142622589, -0.07200629984746884, -0.15540383673237868, -0.13902233739910885, 0.0014929989342590826, 0.17251648204569772, 0.1621293741040575, -0.31750794844389324, -1.5530658235623027, -3.7374620874295053, -6.887773139714711, -10.804437656037098, -15.074772905082115, -19.125534489034326, -22.32016936678798, -24.0933713411851, -24.107195202177156, -22.303058687093348, -18.912619231650474, -14.423553518058693, -9.502472374167962, -4.880530226743003, -1.174563757269992, 1.225475294839049, 2.2100163251871363, 1.9468509181812992, 0.8213175682292377, -0.6624841957017867, -2.0034574160576906, -2.811485438040534, -2.8820397142444754, -2.227096330225248, -1.040259473955532, 0.37413507865943757, 1.6870031300960515, 2.626051422557106, 3.0362948962367637, 2.904315682935253, 2.3424937794688434, 1.5441607477418917, 0.7237463839733723, 0.058067800467919595, -0.3504325955787808, -0.48617373772385347, -0.4090307977153661, -0.2239829156083711, -0.04109709627970994, 0.05878491277661802, 0.042107938129647894, -0.0753725480103424, -0.2415660385653878, -0.39343864027829845, -0.4808319713701495, -0.48044972435418004, -0.3993197835182581, -0.268952038250286, -0.13246722652234988, -0.025655816775398233, 0.03398959193443742, 0.04895410742456924, 0.03586538527245461, 0.015429958041508285, 0.0022530728958592362, -0.00037516255069873364, 0.0015767733712709067, 0.0004225538646983842, -0.004921631257879727, -0.005916089423920232, 0.008424674886362279, 0.033068352215669894, 0.021310023971452485, -0.13843090950627662, -0.6327074947113729, -1.710451292243639, -3.641447404747464, -6.647830311830781, -10.829170207336075, -16.09723706149424, -22.13204699030942, -28.37640847632106, -34.09426959738744, -38.53113934104508, -41.0358307954408, -41.172795708705436, -38.81489097015212, -34.20707108084478, -27.99276959806557, -21.039240850837007, -14.254932693233608, -8.422917390278869, -4.068043402648883, -1.3760744213492837, -0.1702739130336749, -0.00013377169202100086, -0.29573862770550824, -0.5414245652260775, -0.42423762047899394, 0.08171448335094311, 0.7175530969594817, 1.0304520670811999, 0.5320210630303074, -1.126343215254322, -4.016773780414884, -7.861334733978415, -12.044787793041985, -15.735553789872533, -18.128960556727204, -18.627997782852447, -16.98018585531897, -13.355984145494794, -8.352742030912232, -2.9006902081990518, 2.014858297463683, 5.585714230985353, 7.347091879142341, 7.266827503636261, 5.74807323266663, 3.4985881114912543, 1.3099902284839877, -0.17160828640539763, -0.6278004523084311, -0.16444391602646444, 0.7073640785721649, 1.2124461548167025, 0.5324595884293567, -1.9529610638669213, -6.478181782355101, -12.794489702392644, -20.18216681808901, -27.575758847320245, -33.79653333024461, -37.86927582607985, -39.18632495677368, -37.601970428948896, -33.448660910353574, -27.47402275201511, -20.699671706523944, -14.123976867883755, -8.525926472178808, -4.358375420466926, -1.7213937241084925, -0.4078023129948484, -0.010543896040669791, -0.07313377135696476, -0.21848344501968892, -0.2265957004613384, -0.0514615021695733, 0.22129160008571563, 0.4518409765012628, 0.5261313478132518, 0.4111047191635744, 0.16831401793973663, -0.07793180204067694, -0.20142259333978726, -0.13943033483955872, 0.06275660868746535, 0.2477577078578882, 0.1865092753822994, -0.34846623048309106, -1.496732167368269, -3.239676007208979, -5.385369358241556, -7.59730054747589, -9.461239427884069, -10.580830661905043, -10.689073710838171, -9.754787467855962, -7.970176193611291, -5.6973795755345025, -3.385665788531556, -1.4705899740581236, -0.2691518993823708, 0.10904597800251786, -0.22836682655811955, -1.004222238368846, -1.8567414669053435, -2.443346181146, -2.5350411896142178, -2.069738091488227, -1.1542094683179105, -0.01964022235626568, 1.0536026774551321, 1.822434816726188, 2.1477112283934527, 2.0246440922179127, 1.5705725774412935, 0.9746220407251285, 0.43258726919200546, 0.08821399310772716, -0.0051166136565643115, 0.1088150408725136, 0.32001781817711916, 0.5030708667319961, 0.5639067235375825, 0.4726401993570251, 0.2746827761997766, 0.07367776344936572, -0.016130681807953403, 0.08488533523989823, 0.3910495533721409, 0.8418352526717662, 1.3171229574217855, 1.6787028941175204, 1.8178342348439678, 1.6914834664564566, 1.3367035881085205, 0.8592071726720826, 0.39558316615270894, 0.06493357050366269, -0.07304125569956808, -0.039034164075439796, 0.07428350017941245, 0.13677035056885825, 0.029262734486260187, -0.30838281755405095, -0.8473450681876313, -1.477329221320075, -2.039790432363722, -2.3751701591930217, -2.373919251389999, -2.0196377041705613, -1.4084458343684934, -0.7070139274452825, -0.09695948396533723, 0.280417257628689, 0.36794396115653, 0.21401286291971405, -0.04725236464111225, -0.25190781153239994, -0.2713784828122053, -0.06475653180345908, 0.29894164700254244, 0.6635392082625347, 0.8504423612543017, 0.7432187993613931, 0.3624640616322615, -0.09946608667501182, -0.30390095401174183, 0.14866800706532904, 1.5875897490238733, 4.130530357509592, 7.5944727945534325, 11.478151732317594, 15.019796230473855, 17.333888852269844, 17.626172545551597, 15.467944057305418, 10.893702584020197, 4.4152357198098695, -3.04518414032755, -10.304135145519114, -16.159540749045505, -19.700437561432693, -20.4865223164764, -18.607462719355162, -14.638158547893555, -9.51044880123722, -4.264488068222223, 0.19685550852109315, 3.284594054890179, 4.80469058352681, 4.937303850744063, 4.115536785905663, 2.862309013022959, 1.6357684037449496, 0.7237216360590762, 0.21047141573734326, 0.018595339121660004, -0.0027380608140621923, 0.012734878775172029, 0.00536163234548963, -0.010487463793431516, -0.004281623407148179, -0.014896780434518581, -0.22481318015749527, -0.9842544433391224, -2.7536822119766167, -5.973230498996641, -10.895442661092188, -17.426135853799842, -25.026912755756477, -32.74931359534729, -39.397001612944386, -43.76956939563092, -44.93899145577851, -42.5055753265895, -36.78401748748548, -28.74378450471417, -19.7927250891677, -11.454385194237156, -5.005298769534389, -1.160989047863146, 0.1053056026575512, -0.4527892360410653, -1.5649062074541442, -1.8059177121826944, -0.008085063242789866, 4.4142978124394965, 11.273694289721304, 19.592792442662542, 27.809967079487937, 34.25171335756484, 37.505643740482526, 36.71110009805433, 31.750835741136832, 23.324331185891282, 12.873922715769734, 2.1256120636651556, -7.303130596702282, -14.195852025865296, -17.921864802287935, -18.510526889758726, -16.568427359921078, -13.046174397617538, -8.970645773921888, -5.214055149674192, -2.342524650368867, -0.5601784593235424, 0.24089993924342226, 0.3626455003718836, 0.1610891669343676, -0.07272204044464838, -0.17778750282283587, -0.12926834879073462, 0.0006832972997199236, 0.10637501861349916, 0.10886341892077865, -0.01205364946621484, -0.2162803227155637, -0.4254873566387911, -0.5596819971961186, -0.576340024802992, -0.48049266160783255, -0.3147568699493537, -0.13846637689724847, -0.004170413813013203, 0.06117682415005179, 0.06426482295770804, 0.034379716766157406, 0.0042113105476531115, -0.0070536918792961445, -0.0010100277751611444, 0.005364500984778843, -0.005123538745914848, -0.033570845294040065, -0.057445990407170425, -0.03807671766948113, 0.058762958530165874, 0.23622004255431628, 0.44510564335644603, 0.5823088432518949, 0.5216107806056542, 0.15763593993611402, -0.5466136918066412, -1.5214291995838358, -2.5782279211646646, -3.4471459743838695, -3.864256953485879, -3.662465151285689, -2.8478630201505664, -1.643917989895787, -0.48071107670263713, 0.11176030918698067, -0.34961967922189663, -2.153183837258769, -5.277258851485899, -9.336871385652485, -13.635671690064939, -17.309754139236688, -19.525546426494053, -19.688857520492565, -17.613299401443367, -13.562013083845272, -8.19269376363929, -2.4147642804799494, 2.817122273247909, 6.7336443261284025, 8.905043452359347, 9.292472842963054, 8.210292987404356, 6.214137206007616, 3.933591908040227, 1.8951451858700905, 0.4225049958173895, -0.38944616792658004, -0.6398216038154818, -0.5433179941536006, -0.3218368106307005, -0.1295974343582258, -0.027324183411165725, 0.00015140541835791867, -0.00034858010007603055, 0.002323011733969611, -0.0016784522100565973, -0.05397418212605218, -0.1912943568480458, -0.4030999176350402, -0.6112826425561632, -0.6919583661576908, -0.543065046852335, -0.18092136839685377, 0.174321284923239, 0.07181952966444125, -1.1179333915804577, -4.0615683538540175, -9.247551491402614, -16.7647684436704, -26.163597211719107, -36.42138861921151, -46.04026532241072, -53.3091313829712, -56.76372556713967, -55.50693933046134, -49.41392988768058, -39.20216073477652, -26.3516086668924, -12.865515117264822, -0.7483597795314071, 8.427818373596894, 13.808532514744291, 15.36668093720822, 13.83157998689475, 10.422184140084353, 6.476925480079567, 3.1009072842788554, 0.9218683433065874, 0.017196709525076175, 0.02233375797408745, 0.3500616548530658, 0.4517231574625056, 0.03859526623128601, -0.8252805526616834, -1.7846956163368997, -2.3523847079454185, -2.114765257979575, -0.9306755212297138, 0.9500871088299382, 2.967603114343436, 4.426272478975844, 4.707632260773336, 3.477443426786298, 0.8463972057178196, -2.639924062323255, -6.159519693399, -8.846917379093528, -10.033667103248044, -9.438291582509235, -7.24989504977467, -4.0591309681585965, -0.6724314632788293, 2.1285747442788905, 3.80633669060043, 4.1925439962637645, 3.499733445817168, 2.2195958398941302, 0.9372329739821281, 0.12566576893643785, 0.01703374771762191, 0.5579212261989528, 1.4491229333814457, 2.2674713024255526, 2.656985815556939, 2.4429575426617856, 1.6646818526888254, 0.5446735525021685, -0.5890796751337224, -1.4113981550990473, -1.7366720346071352, -1.5686980417201821, -1.0740123194136226, -0.5049821011104447, -0.10180154387754978, -0.0030941766355897103, -0.20370300091828514, -0.5723103881462654, -0.916991690841214, -1.0712765279439451, -0.9628924158963098, -0.6389278120894709, -0.23929259624936022, 0.07150227942586662, 0.18754249419995148, 0.12030542813647518, 0.008945432550577927, 0.07693304461665118, 0.5453410493009646, 1.5363685569738825, 3.008849063927257, 4.7449093934826685, 6.3925206882075285, 7.562612298424725, 7.973509287490171, 7.530644563222647, 6.34589339182097, 4.700891371586915, 2.9662047880918214, 1.4962305387914807, 0.509112738757466, 0.03666847620421998, -0.053764162935931024, 0.017068639458769033, 0.04166447641625821, -0.08686008746585828, -0.33636345435088505, -0.5612948073372959, -0.585457788800313, -0.3095408411438815, 0.20977656531388086, 0.7364180350920523, 0.9014847205649736, 0.3201187889231251, -1.2448830709563607, -3.7706135564079153, -6.932685804807119, -10.145071879143496, -12.68553544541047, -13.904528039108284, -13.420552910826071, -11.22985438854858, -7.718969945460622, -3.581789449811968, 0.3485702592218935, 3.336265932119737, 4.92589999779198, 5.033655811253964, 3.9348736124038806, 2.15751649838641, 0.30461331175968703, -1.121530401015187, -1.8441035690425132, -1.8556479267761905, -1.371527594664041, -0.714724992212688, -0.19135254390670872, 0.009720095813606451, -0.13467754782456984, -0.5050711547088942, -0.9138781720841279, -1.186115397715599, -1.2219785163365895, -1.0266820775250043, -0.6990099444021287, -0.3664860669409811, -0.12606529702958555, -0.011355975360708065, 0.00705548644802641, -0.008413162677724132, -0.008846161335087505, 0.0034410322143629, -0.031116326544070858, -0.1988673743423709, -0.5580238348449555, -1.0843402365286863, -1.645839191665574, -2.0262084609797486, -1.9988873335861632, -1.426743268373641, -0.3412191711816251, 1.020880944810442, 2.247243266239271, 2.861081254531074, 2.501121762161375, 1.0438168185122902, -1.3338421470723798, -4.165147189588297, -6.793112980485681, -8.572933751102973, -9.088298465501557, -8.268644999648538, -6.40239489467368, -4.053404468027545, -1.8954852429636482, -0.4651572633308714, 0.014287889966084457, -0.31445216415459554, -1.0203738392753186, -1.5653479483270825, -1.5302202908811873, -0.8005368322609051, 0.36395616386863455, 1.414795288187652, 1.736487507956789, 0.9132003637726354, -1.0461070751594452, -3.6013219348567325, -5.77048216589776, -6.46724455275055, -4.861490758207856, -0.6943547857638454, 5.512998767336841, 12.430578557048074, 18.188675442248133, 20.927571743356577, 19.296189244477, 12.82458462210031, 2.1288129353088148, -11.073722626948884, -24.414666382351697, -35.46906677339584, -42.31739384144681, -43.96839609689402, -40.56404366997718, -33.25340013458915, -23.825785418946115, -14.229610587043407, -6.106518528231246, -0.4501922014298241, 2.5207322622731674, 3.241369980222118, 2.533913221721509, 1.2919428284160346, 0.20549554028271444, -0.3835415216726894, -0.4688127953689645, -0.25897965941346746, -0.01366299760472942, 0.09740600870939063, 0.05808346380230189, -0.025360722740790133, -0.015499444643494646, 0.15534026089702954, 0.43016618077962465, 0.6532838549968321, 0.6630112786907241, 0.4125006086427697, 0.06800984522892277, 0.03067352737813328, 0.8442340748136823, 3.021092446140024, 6.838329845313691, 12.174175491907233, 18.46349506483862, 24.7746922243727, 29.999249093858037, 33.11580106018466, 33.47448138259168, 31.017837577120396, 26.235122804596998, 20.024853511131177, 13.483546319688726, 7.649953595535161, 3.2518509354819014, 0.5703069559680237, -0.5342959652284919, -0.501119961003051, 0.10158034166270184, 0.7588777964984774, 1.1476027810921854, 1.1692936439677006, 0.9041022817407199, 0.5225492235659892, 0.19102853084415927, 0.0004102200475884074, -0.050381376484723336, -0.024068358682471782, 0.006982002693529689, 0.005535877618758865, -0.014010700883979987, -0.0020968634369239454, 0.08671288885685688, 0.25364736583784664, 0.4439540497754715, 0.5662138713820464, 0.5323805133561544, 0.3047829115154133, -0.06833983461954844, -0.45399471490361054, -0.6966186892181994, -0.6900510235210984, -0.4359000623978584, -0.0698640366357122, 0.1626180970221937, -0.0023561307185503717, -0.73446376717332, -2.020203754592322, -3.629803241666607, -5.156284294865823, -6.135270878599717, -6.2042064788432745, -5.245473267570034, -3.4616496409367605, -1.3452545076081637, 0.45241558011119976, 1.308012417894286, 0.8227122110489825, -1.034126915928578, -3.917160489363612, -7.212448156031248, -10.195515263168403, -12.212575583735521, -12.853264232401662, -12.081223279606977, -10.187368993384942, -7.668728320247216, -5.076979223884447, -2.879893314704208, -1.3504793544818976, -0.4867594305871809, -0.1107808612526072], 'positive_zeros': ['0.46866625083670960814790667255970', '0.67265184045756509530387203496449', '1.07702969525552984457780324254714', '1.36657923318264915751844559622447', '1.43596666248003605840752136528026', '2.46885070526343660016953435920094', '2.48189551919500866987083061785880', '2.66194863283604897180992559217676', '2.85040023823048831759740890976476', '3.07269763056208165100716382093624', '3.29091365915199499416758983717570', '3.61468483386655638528982792784545', '3.66598182583261094374758980292221', '3.95100545106586931437065464553359', '4.18747621777777804525866432689707', '4.32983811528020909020172018173040', '4.55937800745570569845600153184956', '4.75616832661905704282225457330936', '4.85908066039913024524844651517160', '4.87667813490802120246453902636290', '5.64466548736045458414807965690070', '5.71377712578460314387666017934519', '5.78435942644454397470998341228639', '5.84438893151810673248538426667627', '5.95322277109494328558338176585495', '6.47179509615879399356381659089088', '6.52939515855483613126762930243705', '6.53570011021672983483158156984080', '7.00007863474549330956034237588685', '7.02214193429609652346870075212559', '7.25058982593354846018010648792089', '7.38411124307599858031450644680889', '7.69453233642056022132840443595453', '7.78039899087033012236440891210167', '7.889655856403614583138782715275144', '8.233672174855916789097740460902448', '8.300725025936075732036831132257870', '8.319584502561792480925406173451228', '8.381310241584692499435959626849642', '8.416762214690052323266687001297547', '8.921526844387388324171576069321216', '9.181268409898647740169010277396748', '9.364196042341883450923987413935148', '9.519251041317907398170818991044200', '9.624073166416929218142806112813287', '9.648342835124908143113543712281656', '9.807896551322860008838534651219860', '9.981241531834909262063454138760673', '10.27905719461741572280548668028747', '10.45199657384539570489724629380710'], 'prelabel': '10-920e5-1.1-c1e5-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.710394249174426, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e5-0', 'trace_hash': 1104020203729066329, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.46866625083670960814790667256', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.67265184045756509530387203496', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.07702969525552984457780324255', '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': 21395.609942825544, 'bad_primes': [2, 5, 23], 'central_character': '1.1', 'conductor': 659081523200000, 'conductor_radical': 230, 'degree': 10, 'dirichlet_coefficients': [1, 0, 0, 0, -5, 0, -2, 0, -1, 0, -1, 0, 4, 0, 0, 0, 4, 0, 7, 0, 0, 0, -5, 0, 15, 0, 1, 0, 4, 0, 19, 0, 0, 0, 10, 0, 15, 0, 0, 0, 25, 0, 0, 0, 5, 0, -11, 0, -3, 0, 0, 0, 3, 0, 5, 0, 0, 0, -1, 0, -5, 0, 2, 0, -20, 0, 9, 0, 0, 0, 1, 0, -1, 0, 0, 0, 2, 0, -2, 0, 5, 0, -45, 0, -20, 0, 0, 0, 6, 0, -8, 0, 0, 0, -35, 0, 25, 0, 1, 0], 'euler11': [1, 1, 20, 16, 227, 174, 2497, 1936, 26620, 14641, 161051], 'euler13': [1, -4, 19, -133, 496, -1606, 6448, -22477, 41743, -114244, 371293], 'euler17': [1, -4, 39, -115, 406, -1566, 6902, -33235, 191607, -334084, 1419857], 'euler19': [1, -7, 54, -352, 1949, -7810, 37031, -127072, 370386, -912247, 2476099], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 5, 10, 10, 5, 1, 0, 0, 0, 0, 0], 'euler29': [1, -4, 104, -500, 4907, -22264, 142303, -420500, 2536456, -2829124, 20511149], 'euler3': [1, 0, 1, -1, -4, 10, -12, -9, 27, 0, 243], 'euler31': [1, -19, 227, -2173, 16253, -98336, 503843, -2088253, 6762557, -17546899, 28629151], 'euler37': [1, -15, 249, -2256, 20618, -125810, 762866, -3088464, 12612597, -28112415, 69343957], 'euler41': [1, -25, 417, -4753, 42913, -303514, 1759433, -7989793, 28740057, -70644025, 115856201], 'euler43': [1, 0, 215, 0, 18490, 0, 795070, 0, 17094005, 0, 147008443], 'euler47': [1, 11, 125, 952, 5780, 41402, 271660, 2102968, 12977875, 53676491, 229345007], 'euler5': [1, 5, 10, 10, 5, 1, 0, 0, 0, 0, 0], 'euler53': [1, -3, 105, -196, 8458, -24194, 448274, -550564, 15632085, -23671443, 418195493], 'euler59': [1, 1, 153, 0, 14236, 6606, 839924, 0, 31422987, 12117361, 714924299], 'euler61': [1, 5, 190, 652, 18257, 49998, 1113677, 2426092, 43126390, 69229205, 844596301], 'euler67': [1, -9, 209, -1980, 24396, -176326, 1634532, -8888220, 62859467, -181360089, 1350125107], 'euler7': [1, 2, 7, -1, 30, 46, 210, -49, 2401, 4802, 16807], 'euler71': [1, -1, 141, 123, 12967, 23580, 920657, 620043, 50465451, -25411681, 1804229351], 'euler73': [1, 1, 207, 20, 20760, -9066, 1515480, 106580, 80526519, 28398241, 2073071593], 'euler79': [1, 2, 267, 760, 34506, 94092, 2725974, 4743160, 131641413, 77900162, 3077056399], 'euler83': [1, 45, 1199, 21528, 290714, 2994854, 24129262, 148306392, 685572613, 2135624445, 3939040643], 'euler89': [1, -6, 309, -1624, 45458, -202212, 4045762, -12863704, 217835421, -376453446, 5584059449], 'euler97': [1, -25, 446, -5536, 65833, -653150, 6385801, -52088224, 407052158, -2213232025, 8587340257], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, -1, -4, 10, -12, -9, 27, 0, 243], [1, 5, 10, 10, 5, 1, 0, 0, 0, 0, 0], [1, 2, 7, -1, 30, 46, 210, -49, 2401, 4802, 16807], [1, 1, 20, 16, 227, 174, 2497, 1936, 26620, 14641, 161051], [1, -4, 19, -133, 496, -1606, 6448, -22477, 41743, -114244, 371293], [1, -4, 39, -115, 406, -1566, 6902, -33235, 191607, -334084, 1419857], [1, -7, 54, -352, 1949, -7810, 37031, -127072, 370386, -912247, 2476099], [1, 5, 10, 10, 5, 1, 0, 0, 0, 0, 0], [1, -4, 104, -500, 4907, -22264, 142303, -420500, 2536456, -2829124, 20511149], [1, -19, 227, -2173, 16253, -98336, 503843, -2088253, 6762557, -17546899, 28629151], [1, -15, 249, -2256, 20618, -125810, 762866, -3088464, 12612597, -28112415, 69343957], [1, -25, 417, -4753, 42913, -303514, 1759433, -7989793, 28740057, -70644025, 115856201], [1, 0, 215, 0, 18490, 0, 795070, 0, 17094005, 0, 147008443], [1, 11, 125, 952, 5780, 41402, 271660, 2102968, 12977875, 53676491, 229345007], [1, -3, 105, -196, 8458, -24194, 448274, -550564, 15632085, -23671443, 418195493], [1, 1, 153, 0, 14236, 6606, 839924, 0, 31422987, 12117361, 714924299], [1, 5, 190, 652, 18257, 49998, 1113677, 2426092, 43126390, 69229205, 844596301], [1, -9, 209, -1980, 24396, -176326, 1634532, -8888220, 62859467, -181360089, 1350125107], [1, -1, 141, 123, 12967, 23580, 920657, 620043, 50465451, -25411681, 1804229351], [1, 1, 207, 20, 20760, -9066, 1515480, 106580, 80526519, 28398241, 2073071593], [1, 2, 267, 760, 34506, 94092, 2725974, 4743160, 131641413, 77900162, 3077056399], [1, 45, 1199, 21528, 290714, 2994854, 24129262, 148306392, 685572613, 2135624445, 3939040643], [1, -6, 309, -1624, 45458, -202212, 4045762, -12863704, 217835421, -376453446, 5584059449], [1, -25, 446, -5536, 65833, -653150, 6385801, -52088224, 407052158, -2213232025, 8587340257]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/920/2/a/j'], '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': '10-920e5-1.1-c1e5-0-0', '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}], 'nu_real_doubled': [1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '10-920e5-1.1-c1e5-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.710394249174426, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e5-0', 'trace_hash': 1104020203729066329, 'z1': {'__RealLiteral__': 0, 'data': '0.46866625083670960814790667256', 'prec': 103}}
• lfunc_instances •

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

  
  {'Lhash': '594105054179868854724624793935,852687509300655594564296540323,1365297339654299403539305247381,1732344985203418674604851697457,1820304001600545009408966551346', 'Lhash_array': ['594105054179868854724624793935', '852687509300655594564296540323', '1365297339654299403539305247381', '1732344985203418674604851697457', '1820304001600545009408966551346'], 'label': '10-920e5-1.1-c1e5-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/920/2/a/j'}