Lfunction data - 12-600e6-1.1-c1e6-0-1

Formats: - HTML - YAML - JSON - 2024-05-05T08:33:54.638432

• 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': '328554573574478738111253680929,508612879824255979766346644917,1107195576633175008037240527285,1970601618449892963388401266192,2143499735288728719523339103429,2563652055334660465654568576788', 'a10': 0, 'a2': -2, 'a3': 0, 'a4': 1, 'a5': 0, 'a6': 0, 'a7': -4, 'a8': -2, 'a9': -3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 12094.005015784154, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 2, 3, 6, 6, 8, 8]], [3, [1, 0, 3, 0, 3, 0, 1]], [5, [1]]], 'bad_primes': [2, 3, 5], 'central_character': '600.1', 'coefficient_field': '1.1.1.1', 'conductor': 46656000000000000, 'conductor_radical': 30, 'degree': 12, 'euler_factors': [[1, 2, 3, 6, 6, 8, 8], [1, 0, 3, 0, 3, 0, 1], [1], [1, 4, 14, 44, 143, 456, 1572, 3192, 7007, 15092, 33614, 67228, 117649], [1, 0, -2, 0, 87, 0, 4, 0, 10527, 0, -29282, 0, 1771561], [1, 0, -22, 0, 407, 0, -7284, 0, 68783, 0, -628342, 0, 4826809], [1, 12, 106, 764, 4479, 22648, 101868, 385016, 1294431, 3753532, 8853226, 17038284, 24137569], [1, 0, -74, 0, 2647, 0, -60620, 0, 955567, 0, -9643754, 0, 47045881], [1, -8, 130, -792, 7215, -33872, 218940, -779056, 3816735, -9636264, 36379330, -51490744, 148035889], [1, 0, -162, 0, 11271, 0, -429948, 0, 9478911, 0, -114579522, 0, 594823321], [1, 12, 190, 1540, 14399, 87608, 591236, 2715848, 13837439, 45878140, 175468990, 343549812, 887503681], [1, 0, -86, 0, 6055, 0, -248372, 0, 8289295, 0, -161177846, 0, 2565726409], [1, 20, 274, 2916, 26463, 207272, 1440444, 8498152, 44484303, 200973636, 774258514, 2317124020, 4750104241], [1, 0, -114, 0, 8087, 0, -416540, 0, 14952863, 0, -389743314, 0, 6321363049], [1, 8, 114, 152, 6047, 24336, 518428, 1143792, 13357823, 15781096, 556283634, 1834760056, 10779215329], [1, 0, -306, 0, 39639, 0, -2780316, 0, 111345951, 0, -2414487186, 0, 22164361129], [1, 0, -274, 0, 33911, 0, -2503644, 0, 118044191, 0, -3320156914, 0, 42180533641], [1, 0, -110, 0, 10759, 0, -685796, 0, 40034239, 0, -1523042510, 0, 51520374361], [1, 0, -354, 0, 55239, 0, -4821244, 0, 247967871, 0, -7133496834, 0, 90458382169], [1, 8, 218, 2072, 29599, 225360, 2725100, 16000560, 149208559, 741591592, 5539746458, 14433834808, 128100283921], [1, -36, 978, -17460, 257055, -2911176, 27931196, -212515848, 1369846095, -6792236820, 27773479698, -74630577348, 151334226289], [1, -36, 958, -17228, 255263, -2969896, 29363972, -234621784, 1593096383, -8494075892, 37314177598, -110774030364, 243087455521], [1, 0, -274, 0, 37415, 0, -3513756, 0, 257751935, 0, -13003579954, 0, 326940373369], [1, 28, 722, 11980, 180607, 2091192, 22153916, 186116088, 1430588047, 8445528620, 45299898002, 156353664572, 496981290961], [1, 36, 898, 16660, 251951, 3157064, 33912860, 306235208, 2370606959, 15205132180, 79499294338, 309144249252, 832972004929], [1, 0, -594, 0, 148215, 0, -19881180, 0, 1511941215, 0, -61811878194, 0, 1061520150601], [1, -4, 302, -2156, 56015, -336264, 7452132, -34635192, 594263135, -2355919412, 33990366062, -46370962972, 1194052296529], [1, 0, -18, 0, 27287, 0, -303836, 0, 312408863, 0, -2359432818, 0, 1500730351849], [1, 0, -510, 0, 120551, 0, -16735172, 0, 1432266431, 0, -71990662110, 0, 1677100110841], [1, 52, 1322, 23044, 339775, 4580040, 53487212, 517544520, 4338586975, 33250118468, 215548611242, 958066293236, 2081951752609]], 'euler_factors_factorization': [[[[1, 2, 3, 6, 6, 8, 8], 1]], [[[1, 0, 1], 3]], [1], [[[1, 2, 5, 12, 35, 98, 343], 2]], [[[1, 0, -2, 0, 87, 0, 4, 0, 10527, 0, -29282, 0, 1771561], 1]], [[[1, 0, -22, 0, 407, 0, -7284, 0, 68783, 0, -628342, 0, 4826809], 1]], [[[1, 6, 35, 172, 595, 1734, 4913], 2]], [[[1, 0, -74, 0, 2647, 0, -60620, 0, 955567, 0, -9643754, 0, 47045881], 1]], [[[1, -4, 57, -168, 1311, -2116, 12167], 2]], [[[1, 0, -54, 0, 841], 3]], [[[1, 6, 77, 308, 2387, 5766, 29791], 2]], [[[1, 0, -86, 0, 6055, 0, -248372, 0, 8289295, 0, -161177846, 0, 2565726409], 1]], [[[1, 10, 87, 588, 3567, 16810, 68921], 2]], [[[1, 0, -114, 0, 8087, 0, -416540, 0, 14952863, 0, -389743314, 0, 6321363049], 1]], [[[1, 4, 49, -120, 2303, 8836, 103823], 2]], [[[1, 0, -102, 0, 2809], 3]], [[[1, 0, -274, 0, 33911, 0, -2503644, 0, 118044191, 0, -3320156914, 0, 42180533641], 1]], [[[1, 0, -110, 0, 10759, 0, -685796, 0, 40034239, 0, -1523042510, 0, 51520374361], 1]], [[[1, 0, -118, 0, 4489], 3]], [[[1, 4, 101, 632, 7171, 20164, 357911], 2]], [[[1, -6, 73], 6]], [[[1, -18, 317, -2908, 25043, -112338, 493039], 2]], [[[1, 0, -274, 0, 37415, 0, -3513756, 0, 257751935, 0, -13003579954, 0, 326940373369], 1]], [[[1, 14, 263, 2308, 23407, 110894, 704969], 2]], [[[1, 18, 287, 3164, 27839, 169362, 912673], 2]], [[[1, -20, 101], 3], [[1, 20, 101], 3]], [[[1, -2, 149, -780, 15347, -21218, 1092727], 2]], [[[1, 0, -18, 0, 27287, 0, -303836, 0, 312408863, 0, -2359432818, 0, 1500730351849], 1]], [[[1, 0, -510, 0, 120551, 0, -16735172, 0, 1432266431, 0, -71990662110, 0, 1677100110841], 1]], [[[1, 26, 323, 3124, 36499, 331994, 1442897], 2]]], 'gamma_factors': [[], [0, 0, 0, 0, 0, 0]], 'group': 'GL2', 'index': 1, 'label': '12-600e6-1.1-c1e6-0-1', '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/600/2/k/c', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0208333333333', 'prec': 50}, 'plot_values': [0.1664054174204628, 0.16401215777748032, 0.1591404240158624, 0.1517367859032827, 0.14181119552884194, 0.1294523636244411, 0.11484330715398931, 0.09829696115318846, 0.08031370200151276, 0.06149177236254925, 0.04249563264926845, 0.024047502714408375, 0.006917862840189092, -0.008085859884107439, -0.02012563976760231, -0.02833161470158028, -0.0318177675795534, -0.029704305240108187, -0.02114426852019883, -0.0053560243969664745, 0.018332867597275666, 0.05044339244556579, 0.09130229983895499, 0.14099638631212288, 0.1993251339496954, 0.26574957255429915, 0.33933321037348213, 0.41870341888054474, 0.5020167276914651, 0.5869293004864777, 0.670577101851561, 0.7495664465489495, 0.8199844808774736, 0.8774489459808217, 0.917168983583265, 0.9340247941202093, 0.9226700649658361, 0.877669368987317, 0.7937053183413549, 0.6657594366084801, 0.4893062275382157, 0.26052652374310503, -0.02347200390518356, -0.3644021213864651, -0.762465677275943, -1.216214047831838, -1.7224134328565588, -2.2759256626495232, -2.8696392457506787, -3.4944292325008446, -4.139134432150095, -4.790814301739954, -5.435027061558637, -6.056156945436018, -6.6378183903236625, -7.163348008575429, -7.616442775372749, -7.981785656021414, -8.245658147766433, -8.396552599082659, -8.425754267057957, -8.327957658515365, -8.102015362660682, -7.751035251358897, -7.282434447498983, -6.7079065710414865, -6.04321193493176, -5.307900823070435, -4.525034210496904, -3.7199653262186687, -2.919243242797897, -2.1495352373982075, -1.4364867433882973, -0.8036221546614624, -0.27128808556053485, 0.144711562684178, 0.4340349503158547, 0.5924046917513339, 0.6219315175296811, 0.5311375323252848, 0.33470511460147045, 0.052806885396086065, -0.28996888295328577, -0.6659775676820748, -1.046099107106407, -1.4014775922559797, -1.7053898254637978, -1.9350371751678286, -2.0731297774972517, -2.1091911484273895, -2.040490884591635, -1.8725868803622758, -1.6194526287934528, -1.3026626719239647, -0.9501468013600657, -0.5945241151170405, -0.2710387040525138, -0.01520885037145384, 0.13977668692021972, 0.16575530610298644, 0.041909848484725946, -0.24331469310075016, -0.6908064433132173, -1.2899792549399602, -2.018674739520607, -2.844165551028082, -3.724861546965676, -4.61264398006187, -5.4557421141658144, -6.202113063891223, -6.803456713543651, -7.218583949428044, -7.416344208593037, -7.378034186100467, -7.099044636798349, -6.589898507938159, -5.876845735515987, -4.999529292832054, -4.008143176936886, -2.960097974367362, -1.9161397820002626, -0.9363590026559847, -0.0762407610184739, 0.6182852909651981, 1.114310129057591, 1.3941689051588044, 1.4565025755361207, 1.3161056630228538, 1.0027391898846165, 0.5585469881727844, 0.03419138371438241, -0.5156842673480552, -1.0372716260187445, -1.482238240842155, -1.811809233507506, -2.0003796720364533, -2.037732705347497, -1.9297349728001432, -1.6975064449325716, -1.3751083921753482, -1.0059484726722168, -0.6383750900125554, -0.320661452929743, -0.09591934531202151, 0.002538126260897612, -0.04509241440653731, -0.24287223385203074, -0.5785480401608325, -1.0245374935263307, -1.5405020496907016, -2.077306057715334, -2.582193746654958, -3.0050500633744543, -3.3034908640358713, -3.4472821136303984, -3.421696824632875, -3.229279091514396, -2.889960625312466, -2.43941867922593, -1.9241136550392532, -1.395565775158014, -0.9041045100590656, -0.49248504830990725, -0.19006137524076597, -0.008089453023504665, 0.0629912799424444, 0.05354998717341779, 0.012207945120320403, 0.0008905923266977758, 0.08781947406494847, 0.33893729115959365, 0.8089008995028065, 1.5327721276997188, 2.5192214182438524, 3.7460586436990453, 5.1589481226362395, 6.674604288007999, 8.18705261098893, 9.576591550777065, 10.720961745026784, 11.507653014809566, 11.847095929364677, 11.68684510545754, 11.017420890181546, 9.874734030218956, 8.33867956972979, 6.527061912795041, 4.586000579983014, 2.677469154441078, 0.95855424665035, -0.43709641620493495, -1.4150962083687482, -1.9326237480758683, -2.005614144191141, -1.7101563465110277, -1.177587019344004, -0.5813263326550272, -0.11765437186981757, 0.01757897886378563, -0.34593150572849674, -1.3286337849451502, -2.9803013560548774, -5.265356794014696, -8.056468722568145, -11.137747029949516, -14.218523170663719, -16.95824883132579, -18.99594257641872, -19.98449593068764, -19.627101262742983, -17.711979636684664, -14.142286336131491, -8.9559850537827, -2.3290537862848035, 5.430673599893431, 13.90084833521319, 22.573054347082255, 30.893409217224832, 38.31899784613417, 44.35978757623167, 48.616175172454234, 50.811495303814134, 50.81484388663813, 48.65725678205878, 44.542897037475655, 38.8120634853752, 31.903762236496714, 24.31675520106589, 16.567329470328826, 9.149655427337104, 2.4995505409530105, -3.050564150196625, -7.292592694627794, -10.147388523817916, -11.657245834056642, -11.9683274077302, -11.306915139491643, -9.9474715582553, -8.177220883272128, -6.264216564126266, -4.432092406673999, -2.843803149179372, -1.5949381241100646, -0.7144747212501606, -0.17532297559374546, 0.08872946612726645, 0.16330041171103518, 0.13423913068529988, 0.07201500794397661, 0.02188969539054033, 0.001021753271778884, 0.0028374337518917536, 0.007595092480038277, -0.003017255029016294, -0.0301496286645832, -0.043987449050278266, 0.025295913558982724, 0.2895046909446035, 0.8958919623744206, 2.012226763273342, 3.8064175036440426, 6.421755025332324, 9.950522253484557, 14.409714839080227, 19.722278077664033, 25.71012363605298, 32.10942665384454, 38.58352237722029, 44.74494088559462, 50.18672197710346, 54.5183368973716, 57.40955979118468, 58.64658247518975, 58.13793242554613, 55.91711021744483, 52.13964206364231, 47.06887614286986, 41.05692421954081, 34.52316309340502, 27.893170312257297, 21.554957592793407, 15.827658414813323, 10.939428775293699, 7.017231402596782, 4.0873713748873035, 2.0807746696368965, 0.8550533785309428, 0.22382786662354878, -0.012585511036440128, -0.0390048909797399, -0.0030437855005052386, -0.000891048084542819, -0.07259370523002003, -0.20688719148286097, -0.3539260788850385, -0.4433403099699336, -0.40453032315492116, -0.18488163865589846, 0.2366369750218507, 0.842355633083795, 1.5762298822208178, 2.3515390951845565, 3.06525207428515, 3.6149403200819976, 3.9154075125615733, 3.9128214443253944, 3.5940845636356356, 2.9901957839864783, 2.1725457928043137, 1.2405496145960748, 0.30629483917779643, -0.5220414077698463, -1.1558946644583799, -1.5391324027030096, -1.656565761629729, -1.5335899253158392, -1.2293799092889695, -0.8254218285030566, -0.4110732626229718, -0.06855663089046504, 0.14044376065984232, 0.18477061661968025, 0.06721587885749347, -0.17818178442681712, -0.4940553316225371, -0.8115143206833091, -1.06420406344854, -1.2007357623184727, -1.193647353929323, -1.0436255767991904, -0.7783343518933132, -0.44631004653448103, -0.10684432543286537, 0.1830627362218363, 0.3801951477665928, 0.4632625797180387, 0.43630708358357523, 0.32670405933982716, 0.1779641037924676, 0.037991254061325516, -0.05402833314594039, -0.07929276472119179, -0.04705317098905081, 0.0037668574908061485, 0.010098066210968296, -0.10278091162383157, -0.40365244611589274, -0.9356044261993472, -1.6976846337337688, -2.6320697528055264, -3.6213561670848, -4.495747624653767, -5.050966755485855, -5.075934998721179, -4.387140485174696, -2.865741568687756, -0.4907197505664906, 2.6422362042951364, 6.3138648903576975, 10.1896950293785, 13.844980656375721, 16.80735917352086, 18.618868969200868, 18.888809560711636, 17.34267325405174, 13.863086247932888, 8.515871410004245, 1.5586655484888523, -6.574246365397023, -15.32158172125006, -24.051029147160627, -32.12048248773354, -38.94032876942691, -44.03446209275383, -47.10086194890309, -48.027430516649936, -46.888191587669844, -43.923609015598835, -39.505094671983336, -34.091672834817615, -28.1836241938064, -22.255090218166362, -16.707247337464185, -11.838942714196966, -7.832517843455631, -4.754714755017241, -2.5702395600736123, -1.1655522308677737, -0.37962182020200214, -0.0345703784893897, 0.03803524394288963, -0.02209772808177691, -0.11518163603445797, -0.18318171903150748, -0.20394306388062558, -0.18102131428932186, -0.13198932674976344, -0.0777177786323197, -0.034370453762165104, -0.009131809161734332, -0.00040191128096104856, -0.001037573692639093, -0.003021779720956998, -0.0019573301458016244, 1.4225228362362733e-05, -0.006120837740880927, -0.033903294784077796, -0.0970846002574795, -0.2045221394746919, -0.3556646206248707, -0.5379885367238421, -0.727560930080943, -0.8927229690042906, -1.0003052402022101, -1.023216359602198, -0.9479292895594725, -0.7802589615169055, -0.5471244447270813, -0.29426624433836895, -0.07999957572669233, 0.034254835164351446, -0.004859556031350104, -0.23205536593724496, -0.6555430274294347, -1.2532380687043423, -1.9737789441418077, -2.742395786128385, -3.471549977348804, -4.076251992032159, -4.485967670199024, -4.654217455102376, -4.564866049666809, -4.23376642796498, -3.7062436980158364, -3.0508333213884335, -2.345202000563936, -1.6636497677615891, -1.0670192843475916, -0.5956632216527966, -0.2663681123585883, -0.07324982253794449, 0.007686504215182624, 0.010951397375930198, -0.026651923758626732, -0.07318575047452076, -0.10651570510606269, -0.11643442694027965, -0.10353990171329056, -0.0758019218721593, -0.044096864764632364, -0.01795640151430455, -0.0026049647923451847, 0.002078401613059878, 0.0005257331128800121, -0.0011921155020794224, 0.0013919926437668919, 0.008460899799779908, 0.01476234557052769, 0.010500499702000931, -0.01581030670392722, -0.07322869996286896, -0.16414662665310908, -0.28124566254875777, -0.40701678863956536, -0.517055775905845, -0.5854487778231429, -0.591682503940394, -0.5276425642324325, -0.402682594610553, -0.24502440631064937, -0.0977309776197176, -0.007838512546644534, -0.012386568813426676, -0.1234034264111673, -0.31475739392215146, -0.5144223978554222, -0.606429174842974, -0.444026772101788, 0.12722422213630216, 1.2387496985363615, 2.9648363661591426, 5.290457970729783, 8.08864070379052, 11.115510101022368, 14.022661173892251, 16.38795766694739, 17.7630388070757, 17.735724995013154, 16.00357597661702, 12.421368152020147, 7.03465861811141, 0.09405646939052013, -7.9557429965064745, -16.51297240858634, -24.887820645703698, -32.390494776322434, -38.409622902005616, -42.47943602095279, -44.329061302229015, -43.91358882741172, -41.428710948367254, -37.25939313797623, -31.914798441515558, -25.95859274871157, -19.93937800176383, -14.332000865875381, -9.494398550826597, -5.633696745292841, -2.806974474549654, -0.9448524718410116, 0.11159508957809947, 0.5685254712573249, 0.639004959330386, 0.5091069087611062, 0.3173857575468779, 0.1484316188671772, 0.038225015984407855, -0.012611445118526814, -0.022463143642107237, -0.013904250862901939, -0.0037043889878198293, 0.0009616425792264782, 0.0008758686917155542, 6.170438025067719e-06, 0.0007068966181406183, 0.001786470877460126, 0.0008071966544221373, 0.00026177083652472545, 0.015646015517025203, 0.08208378699579703, 0.2551086963516561, 0.6031179094084679, 1.191161617286618, 2.0575500427160205, 3.187121275228578, 4.487362336893028, 5.77771515629713, 6.795844475871552, 7.222019500742256, 6.721484967256811, 5.000284115383995, 1.8706097986091705, -2.679091778446717, -8.455621193361395, -15.059493235211349, -21.913522751712254, -28.32356551970459, -33.56458424532682, -36.984992505097516, -38.1154988567681, -36.748584254049156, -32.980729700267105, -27.210667892182865, -20.09223899070694, -12.44347187584883, -5.122087042995736, 1.0994222181114548, 5.643055827687858, 8.202926701828085, 8.780237155328328, 7.6683294170040766, 5.377771448347646, 2.534082520351613, -0.23529055428608006, -2.407372771761759, -3.6473639156484428, -3.857094876535776, -3.1641179412308245, -1.8703323456494567, -0.37373146376831184, 0.9224007026074805, 1.6953025167125475, 1.767038982144777, 1.1332168250567314, -0.0496913308900384, -1.5094643694456749, -2.9242892961282294, -3.997959074716721, -4.532085841765657, -4.460952570046999, -3.8543140393403004, -2.8916275744411877, -1.813680327712102, -0.8636756159000795, -0.22874975755516783, 0.007163836784577652, -0.12369785060909318, -0.4906688884778901, -0.9060109599050918, -1.1793889907833812, -1.1734560392661033, -0.8450933538937648, -0.2590427946231368, 0.4297428362083076, 1.021303984380213, 1.3325512743200976, 1.2604747102694778, 0.833125035819141, 0.23103635865851144, -0.22935881740055836, -0.15086546708554327, 0.8594866787877339, 3.098438655307944, 6.6844165688533765, 11.498836872870465, 17.16652259296786, 23.08344433551828, 28.50112073765615, 32.67551637837979, 34.97677592777096, 34.98684507085616, 32.573860600942204, 27.924173673975606, 21.532337775088713, 14.142361496466773, 6.594162644896612, -0.31153116534708397, -5.924527539199185, -9.825975804138798, -11.870385268584373, -12.190006726698702, -11.137113140437027, -9.190513329690774, -6.85535000112895, -4.574244925145492, -2.6648102554921214, -1.2903951156853466, -0.46335491796931605, -0.08269654920950795, 0.010845725457887324, -0.021368460585819902, -0.05967277054670682, -0.04852386909701106, 0.005534033895855402, 0.05572270307050605, 0.0470331523244015, -0.05288383443121976, -0.23433563382302924, -0.4449317752180475, -0.6074059617014397, -0.6490040711403094, -0.5331159809018564, -0.2823356769375894, 0.016753779400051245, 0.23404737784073334, 0.23715177440233642, -0.05901678569065335, -0.6461188253433293, -1.3934130891886394, -2.048516383313892, -2.279814831957354, -1.75203259386279, -0.21542365153188972, 2.4078548234123494, 5.959906696407248, 10.02316654850988, 13.956801026897875, 17.003299468621254, 18.42835246063053, 17.671820827678697, 14.482254053294682, 9.011464660210624, 1.850660933134584, -6.051831070865704, -13.547580963217055, -19.492414701784814, -22.965953565905544, -23.465698645329102, -21.038396222924334, -16.309691283406966, -10.400344523634658, -4.743683745192927, -0.83308021168771, 0.05801478323203511, -2.874482508463519, -9.805775755741164, -20.22690557478237, -33.0042475321213, -46.54700147046373, -59.07235992031057, -68.95692751829677, -74.97403548400784, -76.45617512567445, -73.37158687121725, -66.29619487441059, -56.30472561402756, -44.798147613865304, -33.18725634861289, -22.658169960097727, -14.023194980153113, -7.655730338249662, -3.5124972722757475, -1.2261426271743812, -0.24258569763501264, 0.015032136242652582, 0.009471452667123131, 0.008009975563314604, 0.06725882150550931, 0.08000424375343246, -0.13508363996933503, -0.7300351360971709, -1.740194138152069, -3.036622149501285, -4.3323049836280605, -5.245498694533659, -5.3955713980741695, -4.507200287901316, -2.4978869854629195, 0.47441136939774203, 4.01741322270123, 7.570037203731766, 10.515973025530025, 12.309993943704015, 12.59336905567747, 11.274565915102531, 8.556697366644531, 4.898657405361339, 0.9209989656021814, -2.7141592741206035, -5.428374412764736, -6.833332187550877, -6.799580405821438, -5.47009787580087, -3.202102556431335, -0.4799549988504222, 2.1856079394371073, 4.354381359749309, 5.735054118768959, 6.234260990788238, 5.936464214207288, 5.05293460880634, 3.856621777941731, 2.6156364084776724, 1.540135460890418, 0.750346662431669, 0.2680085113389115, 0.039979655072637885, -0.024139939294095775, -0.014593199889350606, 0.0053526468200701185, 0.009669416007758513, 0.002571272776472192, -0.00037832916023382155, 0.0070479166193202865, 0.009551745749576263, -0.026205859262473416, -0.13084170300241338, -0.29924449970820644, -0.4560645857085326, -0.43308566284239475, 0.028956529696730633, 1.246354252487541, 3.530226594257637, 7.108022244012221, 12.041197763192185, 18.15811935525173, 25.020967877390856, 31.95208382400997, 38.1534411950349, 42.817780504002194, 45.25356006016747, 45.01050978734073, 41.976701021932904, 36.44209049616261, 29.115963930771986, 20.96871669892883, 13.063762894140673, 6.391385522548231, 1.715781130036523, -0.5388931351511291, -0.3496972179328058, 1.9119440310616755, 5.572210287291348, 9.793898186266679, 13.7319829290527, 16.681271187812257, 18.19694399150391, 18.136747159762898, 16.64347319963076, 14.080280531034326, 10.934175584651205, 7.71109788504703, 4.8408778487401625, 2.6016630752366763, 1.0978222942581688, 0.2789584703258345, -0.013371888002703714, 0.014263844570596733, 0.1655639336510492, 0.2976699513051356, 0.33958447354164445, 0.2868565858291729, 0.1791370282167848, 0.0702599136793838, 0.0008408695371570457, -0.018017539390719296, -0.005592124754437257, 0.0004918414347859233, -0.03664373130714752, -0.1344962981597501, -0.28057090322499745, -0.43415006253251437, -0.5394969027059808, -0.5460815532579361, -0.429119112867314, -0.20340048281045717, 0.07586553677799192, 0.3289488392965104, 0.4776776818646483, 0.47495851047886223, 0.3294451052174843, 0.11732751726978492, -0.02505096404235635, 0.07051532194816484, 0.5630919144690392, 1.5578875954090134, 3.068308114043173, 4.995555221763866, 7.136917076382311, 9.218119469465494, 10.942272369498017, 12.046530427770927, 12.354388437821358, 11.81493138781617, 10.52157242513736, 8.683541028959079, 6.579318959970222, 4.500888749994718, 2.698210394938516, 1.335710685557996, 0.4690947632693392, 0.048099911943030246, -0.055275629681427706, -0.004224742349735217, 0.048529535153428074, -0.001451705634106738, -0.19006124395754914, -0.48618438148108994, -0.8112002493531925, -1.069380295791645, -1.1804744839163166, -1.1063702021824622, -0.8646484869854866, -0.5197545107786823, -0.16188710393982012, 0.11987676866727112, 0.26323039720042396, 0.2501092078102657, 0.11070833536282879, -0.08910317654459839, -0.27087072069649454, -0.3695872140835721, -0.3553461967354697, -0.24467452638984363, -0.09766831870708119, 0.0009184609232144254, -0.03178443839233053, -0.24996228771439535, -0.6591578715899844, -1.2091839765807195, -1.8042332784340058, -2.3258122739954423, -2.6615325254459616, -2.7328513998535273, -2.514781706977722, -2.0437907829585895, -1.4115198679041487, -0.736560932490763, -0.13432798598512033, 0.3087436324866909, 0.5518595310483064, 0.6038699684887465, 0.5146898524210101, 0.35541803596821253, 0.19411396079753634, 0.07637905029558358, 0.0163524969032849, 0.0003061852777075566, 0.0011570121406281368, -0.0011771530393292658, -0.0009963337378532653, 0.042994054261933465, 0.20380408763311494, 0.5680154052553432, 1.2086962998295778, 2.1566761202874147, 3.37812049037919, 4.765851554723782, 6.148707019060997, 7.321710382907639, 8.09720793003586, 8.342437534682722, 8.007577863967786, 7.138831081046839, 5.871056182592411, 4.402370601721004, 2.954034041533802, 1.7146080188369188, 0.8023129702701758, 0.2485728388306865, 0.003424811044746631, -0.0393799625858589, -0.004140450836686777, 0.007907417280624402, -0.051093046347264026, -0.16436268269965504, -0.26079056124916855, -0.24385308011400939, -0.031177754626100944, 0.4097782740533998, 1.0406695869300882, 1.752175103667104, 2.386291413654354, 2.7774204812476, 2.8039637760805767, 2.4266095743437988, 1.7070620409247292, 0.8024689637541721, -0.06521564580224334, -0.6594735585379665, -0.7901357529659917, -0.36366212279395943, 0.5916180362964517, 1.9280735749217923, 3.4085527970945884, 4.758264703926767, 5.731565513568448, 6.165363731023597, 6.008721044167626, 5.326211165009913, 4.275511049070067, 3.0671282310402175, 1.915153069621686, 0.9828198650412482, 0.35314896936052675, 0.02498704457523562, -0.06945758477256021, -0.03256984290287358, 0.035059930208048685, 0.06430861798243107, 0.03211982481335856, -0.042069285404479385, -0.1148284427245006, -0.144663510568707, -0.11573178437589511, -0.04917660703414902, 0.001158382244619002, -0.03297189715976176, -0.20772887512707108, -0.5415087698760663, -1.000914130846168, -1.5042728298751418, -1.9413654536037028, -2.204138560109599, -2.219569686759385, -1.9756023861818428, -1.5313601590131907, -0.9978945881632034, -0.5035077144920643, -0.15313763810583944, 0.00713971610587324, 0.009088798381236655, -0.043159540145527635, -0.004773720389645158, 0.26115645926243336, 0.8326632183647447, 1.690956827594547, 2.7094167818400154, 3.6801873184780667, 4.36661316720102, 4.567743732100441, 4.178982978268575, 3.231160566253683, 1.8963318594928529, 0.4520801640405856, -0.7998677018786514, -1.6169377276083885, -1.881925858174046, -1.6348508926229202, -1.0590860538857156, -0.41995471986158867, 0.03480528928910834, 0.1748459588891929, 0.05641694102972825, -0.06236870509673156, 0.22775576362983296, 1.3739652386836823, 3.7142225831502107, 7.338493346402338, 11.99739548019772, 17.089544371491705, 21.747352931334976, 25.02819087069649, 26.132535837813986, 24.611671212265993, 20.518686450067477, 14.457753250975546, 7.5091023015935185, 1.0230019924534448, -3.6747392903066283, -5.570821528757659, -4.197336073689799, 0.2405439126302867, 6.880230795879678, 14.397719021465296, 21.312399076889246, 26.2954209150132, 28.438500869425177, 27.431356123233158, 23.62764806391009, 17.983255893783603, 11.745939633542257, 6.139223868357104, 2.096268349740168, 0.07994807722867509, 0.022075360246915372, 1.383827168465807, 3.334046130125475, 5.002085202884464, 5.713871500705871, 5.15210336595913, 3.409026537864695, 0.9264660230350386, -1.666128113609971, -3.750278684732085, -4.894722277878461, -4.962750152747651, -4.125832852257087, -2.7840765454196905, -1.4135873830621946, -0.4052369456360794, 0.05378836655574207, 0.019639415703275383, -0.26034680572190694, -0.47661476560808375, -0.42406980777194175, -0.14727711496305784, -0.012275629371217374, -0.6716216216530938, -2.918245528451625, -7.470039402373152, -14.73935560776385, -24.640557197018104, -36.49038753358791, -49.03622645160024, -60.64664740696245, -69.69447744366708, -74.84067123202611, -75.27036913566755, -70.84949971725013, -62.15480092115522, -50.39267344661442, -37.215120493319496, -24.30878506713501, -13.078696503610779, -4.445873730515044, 1.237279055664096, 4.15047233230833, 4.8749407231077875, 4.200009781491594, 2.908537942865634, 1.6101976615988023, 0.6560228148219611, 0.1398526810691015, -0.030498243452426705, -0.02681247931569518, 0.00025651835955576023, -0.012881316299132037, -0.027718701781680392, 0.061923234933390636, 0.36682893487739016, 0.9409732627771992, 1.7431628912023296, 2.6342324446766656, 3.4112590228992876, 3.8727458974369227, 3.899802727695241, 3.487236750837119, 2.7393841774025924, 1.8362558097905866, 0.978283052763487, 0.32773293099075707, -0.03801205320633848, -0.1462517670225771, -0.09985526901060704, -0.022512331205104402, -0.002651032018305245, -0.05776057654645986, -0.1340220909151232, -0.14506858130943956, -0.03548154873959363, 0.16016912077915646, 0.2946517928810762, 0.14527614825134721, -0.48366746409575645, -1.6116642810793456, -2.927966701773064, -3.686870921269546, -2.7059765704169525, 1.4953088015909046, 10.426625163073476, 25.285075740452875, 46.58713881183049, 73.85333123534373, 105.42924447615682, 138.5609040546118, 169.89008147457466, 195.90449301779375, 213.43837212158166, 220.18145799878934, 215.07971638422484, 198.63362100068306, 173.06505091997016, 141.64547157265574, 108.05103351076197, 75.78621985074956, 47.688151626441616, 25.60041367183603, 10.225815754220882, 1.1240461847083212, -2.9707732404216625, -3.7178543530219192, -2.7537943657802546, -1.3760457353327848, -0.37148713130766453, 0.0023280011700627544, -0.1080977877891172, -0.3548278578620958, -0.3951338168962247, -0.04212680051062942, 0.6759894414702408, 1.5499404737843683, 2.2878621649256656, 2.6351987817558538, 2.4718980002507696, 1.854503244661259, 0.9885430553504225, 0.14550873511401655, -0.4337850960589667, -0.6185145114941667, -0.4248240240035852, 0.0009871634293697274, 0.4492624441276426, 0.735237923849132, 0.7671884732664066, 0.5730365006660785, 0.27709065455472476, 0.03493390377998517, -0.0516530915826186, -0.004063432765275821, 0.01601537479007171, -0.24965946077812073, -1.0616321275236722, -2.565375654378813, -4.690900425553737, -7.11728979967978, -9.323394897603213, -10.7188477192657, -10.824193416160911, -9.449574543111709, -6.81327421638591, -3.5460726656718666, -0.5676492419370822, 1.1477693364731898, 0.865739649524473, -1.6326171283743447, -5.896237519436237, -10.81567353597814, -14.794538075127615, -16.07091339084193, -13.132943858760413, -5.143791514771284, 7.769859383029545, 24.497181797272233, 43.09278691515022, 61.08892208245176, 75.9254464721737, 85.4623844293607, 88.54053331717891, 85.08802941601174, 76.02692181355641, 63.03486358147877, 48.18749146530189, 33.57336640793105, 20.93736105960148, 11.32527060480668, 5.004172313753771, 1.5787478016034153, 0.2262866301928112, -0.019175547131940713, -0.004396059195121548, -0.27551781255152685, -1.0134860240065457, -2.082126166641459, -3.1559451433761, -3.8818063670600753, -4.026242135867096, -3.5451121831464136, -2.579938876215201, -1.3968849653224995, -0.2935496025834163, 0.49464967826601514, 0.8620403360614753, 0.8463982634525502, 0.5893540012824184, 0.2700865840211647, 0.03772578587449971, -0.035268152542454724, 0.034368661644456795, 0.16457274822885012, 0.25696305659500407, 0.24733194871239222, 0.13705312531514952, -0.007043956186695291, -0.08520108720357346, -0.01609624917103267, 0.21353179451841672, 0.5208656225234309, 0.7342310914660608, 0.6386471787306868, 0.04865272502372296, -1.1222555341717633, -2.8142838875332887, -4.8116321931248365, -6.777501869842995, -8.332296334861262, -9.16542979097932, -9.113204213590466, -8.19768222071259, -6.620694814124346, -4.712000686951899, -2.8463273568842964, -1.3473087575226113, -0.39836824441530544, -0.010428071602479447, -0.04335670714509585, -0.2695268059920434, -0.46012224537953383, -0.4693963611787017, -0.28737460235533485, -0.044605232431148285, 0.030626459328904412, -0.3102924906989026, -1.247511125287957, -2.823720080469969, -4.915086339312535, -7.247316128049775, -9.452461937741212, -11.151694051930553, -12.049059003575369, -12.018835932037389, -11.111630452854317, -9.524585242300772, -7.546939299311924, -5.491284417890908, -3.6296931078249317, -2.1461769123234107, -1.107018395162856, -0.476892722015779, -0.15783198449482727, -0.03294726009407882, -0.0019475554240963094, -0.00035014620284546256, -0.0006098058149114439, 0.0004385779876380056, -0.0014327494271814945, -0.00579914281205264, -0.006048865011351972, 0.0017260572929126028, 0.004954595326301002, -0.03568584211854408, -0.1854983554083062, -0.5202454808292575, -1.0984745168400432, -1.9333092932270832, -2.9723364212825443, -4.093288035049538, -5.120422932316739, -5.859942219608854, -6.150542716348212, -5.920719674139526, -5.204354597855573, -4.132182559836694, -2.9012988154287402, -1.7272340883244723, -0.7913761755914903, -0.19598534323250336, 0.06083902073894201, 0.07393073584984285, -0.006584738801291401, -0.026486713270310117, 0.12296077484415224, 0.47309410902124466, 0.9731645238842941, 1.5113270402675836, 1.953030668742441, 2.1844971976532626, 2.149718428598815, 1.8705451425950517, 1.4298373333552055, 0.9396032149865694, 0.5053946762364425, 0.19688673055615674, 0.033392425401458335, -0.012746568297663095, 0.0037350221230948726, 0.029337588243081473, 0.033881746608978476, 0.01756793764734601, 0.0009918964712564019, 0.0032523008215223845, 0.0186998229198308, 0.004968796093786651, -0.10826566574419486, -0.387560469467882, -0.8491553406324828, -1.420817562430646, -1.9229965531075162, -2.080547420815415, -1.5706861972088346, -0.10073511852183338, 2.4949004963146937, 6.158454611159866, 10.591937289008307, 15.290514414276323, 19.62265835242742, 22.947195943216474, 24.7489511874396, 24.773172614769614, 23.069280752316445, 19.96595262593418, 15.991605905645393, 11.756736759858844, 7.829772677569879, 4.630339462846414, 2.349809433556056, 0.9581604083228624, 0.2674363930896166, 0.021702656137759055, -0.015427746656769619, -0.001211276839315065, 0.0023755278154200263, 0.00016982940073331952, 0.007577812256104301, -0.0069880140792899625, -0.15448387640048622, -0.6152149604901767, -1.586331025265266, -3.2019636141640078, -5.451411045399184, -8.1240895347178, -10.810307177391536, -12.984396113339283, -14.114676955861674, -13.787289012207186, -11.817963536055572, -8.319791470332328, -3.709539131989861, 1.362873180578788, 6.1674661172947065, 10.044759811516824, 12.53051333290175, 13.43289042799399, 12.852718667055042, 11.145739628366998, 8.796701564113633, 6.295721175265454, 4.040104858679694, 2.274866731097704, 1.0797400598237308, 0.3970265809955453, 0.08723630932159358, -0.006829796200665914, -0.011914729636004782, -0.0018393131617496536, -0.0002644445921599599, -0.0006085460704239787, 0.009667058325767846, 0.032613251148948294, 0.056468438386068714, 0.06371808125671521, 0.0441022512585594, 0.004369067748316299, -0.033630820812195046, -0.04564959755829309, -0.022150215628444846, 0.01929732489720119, 0.034813447384482124, -0.02825229458297668, -0.20127054724463855, -0.46244608960467154, -0.7171896096677789, -0.8029185758242271, -0.5245652590587147, 0.2839837747386067, 1.6983787431793744, 3.6565858056916443, 5.942316644678284, 8.210181377220925, 10.05786675468162, 11.142902815338353, 11.263193439288155, 10.403325599760793, 8.73904487919311, 6.594457045613128, 4.365593124093166, 2.4242941233201365, 1.0101804758309376, 0.18994780625539948, -0.12522707855060936, -0.12093912143213033, -0.0015347602644044964, 0.08120618920923674, 0.06849478297216276, -0.010838459421662778, -0.08367038232832125, -0.09001042743482658, -0.025515255272719303, 0.05424444437878142, 0.07653409577648483, 0.025393647750529283, 0.012522660605392673, 0.3040817773760598, 1.2708288177408709, 3.2602657401937276, 6.4195887901617015, 10.51916918118298, 14.843171795317236, 18.210655529536155, 19.185866116882917, 16.50489568924621, 9.470289320667899, -1.7041185285462987, -15.684724726445396, -30.041448778138605, -41.55958833256274, -46.908613536063, -43.43627172285382, -29.833829214356303, -6.575816789312345, 23.973401211724266, 57.82757407659199, 90.05114797044935, 115.78729546321944, 131.20717131480058, 134.22687304331149, 124.8679009342788, 105.22087598232947, 79.01783705154494, 50.6885246940773, 24.424881349096772, 3.4213009472074165, -10.594319308170013, -17.471802490564617, -18.41019713482656, -15.420709523279628, -10.693291399577962, -6.053066026559621, -2.620537722822079, -0.7268207107296064, -0.06581203570736606, -0.0018808929831032272, 0.09775835084689442, 0.6110438736019127, 1.5520062868480873, 2.621202329170824, 3.3879190468151177, 3.495286466113153, 2.811499332338272, 1.4861135153244154, -0.10082174422787495, -1.4746135710529704, -2.244801851713858, -2.2457473907604597, -1.5773989328159397, -0.5514326499849925, 0.43068820835175553, 1.0240258756952654, 1.064393208673887, 0.6157448011964329, -0.07539146759309802, -0.6889544544276719, -0.9598213997188405, -0.7789115681034926, -0.23129643539053873, 0.4482041948400086, 0.9761385118054976, 1.1361590067826959, 0.8652385434318867, 0.277113935452052, -0.38957689111226357, -0.876045241855828, -1.009971363783118, -0.7738396891888432, -0.3078175204444288, 0.15676372342815584, 0.41140705752936024, 0.3753992014768729, 0.13424287457151987, -0.10990141030794916, -0.16886699066354594, -0.04198261166097537, -0.06480741359749521, -0.9466437122713396, -3.6575354642450932, -9.175594964995241, -18.148469985293712, -30.55573397068962, -45.48352092652611, -61.13958132697333, -75.11370088208919, -84.84061993533595, -88.16884918205086, -83.9060854731768, -72.19464372785922, -54.53711124467647, -33.515511020904, -12.264448546649833, 6.183993940470759, 19.54290418745651, 26.74958515667988, 28.007835022980146, 24.571449989177463, 18.337833738916007, 11.342308881230617, 5.284210372335, 1.188646459993916, -0.7445028861020189, -1.004168013110021, -0.4376280904774093, 0.14024976008714313, 0.2602480362029028, -0.09797223425961422, -0.6823474005914546, -1.185665256522617, -1.3771104423352687], 'positive_zeros': ['0.25918385832446682173167772046124', '0.40122481678522826397575925101753', '0.873423304839546583199217713718547', '1.55453057656037348169259121235495', '1.69092314152086572037839665490454', '2.02236488104300770200098635607321', '2.08732678671105850208355199259318', '2.54372439705391079056865300080895', '2.70964227011762655971627405323639', '2.99840196858754915576763739664301', '3.00927015937391533216004507005797', '3.41806769612818077528683422137263', '3.48783034461214496032036352762140', '3.49924428836250819257477577852978', '3.95118443388469199361381746125607', '4.11422011800851363223938100233173', '4.12792965582564463549581956595191', '4.44402680576877082698655176151092', '4.80050464605182267642646143433344', '5.09491099169146447756957214219672', '5.21351481611910029991471441419420', '5.21696762738697426075711321085956', '5.26757605239884486087795153915246', '5.32915562520870735439483302970429', '5.99771603995393831709951691865587', '6.04391569230839519112243752601068', '6.06189661499978422921035344586415', '6.19788783365739776397584214907997', '6.46560079821031382304761080686834', '6.65121686884385132888141417916157', '6.71501099131561653085446243717460', '6.92376822750884238546988310007004', '7.06956945417893704118656753246308', '7.14398303748512547481259653013302', '7.17065160887224147619728458965879', '7.42025464417714180457156283080262', '7.65002519310158020654506620794646', '8.108855777583635825613059659581041', '8.140394407826987335262403315632829', '8.339659483327086462767242820679849', '8.340686412981253728349330453207670', '8.415130191167130876403941123961648', '8.417776423194298973240818501908337', '8.740828824538069222573806101468694', '8.770020051111890444544062322692876', '9.183765169426295738084510788781715', '9.216001210864604849294216656828261', '9.402815800720190397725683938409603', '9.441751770946556789648070162930904', '9.472634713628805229042339969456571', '9.552638673523081912657956662769287', '9.816960862770893040126799672233616', '9.827301003361831681847558985509498', '9.954973714189730196098248487901178', '10.22943166113463301322877326614184', '10.62196207829639554200986341325984', '10.76322879949399764225587840662055', '10.84670200317514538914236056615897', '10.89676938187121560673782679705266', '10.89861549090212939331677662967083'], 'prelabel': '12-600e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.188840816797061, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e6-0', 'trace_hash': 1715705733196825137, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.25918385832446682173167772046', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.40122481678522826397575925102', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.873423304839546583199217713719', 'prec': 107}}
• 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': 12094.005015784154, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 46656000000000000, 'conductor_radical': 30, 'degree': 12, 'dirichlet_coefficients': [1, -2, 0, 1, 0, 0, -4, -2, -3, 0, 0, 0, 0, 8, 0, 7, -12, 6, 0, 0, 0, 0, 8, 0, 0, 0, 0, -4, 0, 0, -12, -10, 0, 24, 0, -3, 0, 0, 0, 0, -20, 0, 0, 0, 0, -16, -8, 0, 2, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 24, 12, 13, 0, 0, 0, -12, 0, 0, -8, 6, 36, 0, 0, 0, 0, 0, 36, 0, 6, 40, 0, 0, 0, 0, 0, 0, -28, 0, 0, 8, 0, 16, 0, 0, -36, -4, 0, 0], 'euler11': [1, 0, -2, 0, 87, 0, 4, 0, 10527, 0, -29282, 0, 1771561], 'euler13': [1, 0, -22, 0, 407, 0, -7284, 0, 68783, 0, -628342, 0, 4826809], 'euler17': [1, 12, 106, 764, 4479, 22648, 101868, 385016, 1294431, 3753532, 8853226, 17038284, 24137569], 'euler19': [1, 0, -74, 0, 2647, 0, -60620, 0, 955567, 0, -9643754, 0, 47045881], 'euler2': [1, 2, 3, 6, 6, 8, 8, 0, 0, 0, 0, 0, 0], 'euler23': [1, -8, 130, -792, 7215, -33872, 218940, -779056, 3816735, -9636264, 36379330, -51490744, 148035889], 'euler29': [1, 0, -162, 0, 11271, 0, -429948, 0, 9478911, 0, -114579522, 0, 594823321], 'euler3': [1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], 'euler31': [1, 12, 190, 1540, 14399, 87608, 591236, 2715848, 13837439, 45878140, 175468990, 343549812, 887503681], 'euler37': [1, 0, -86, 0, 6055, 0, -248372, 0, 8289295, 0, -161177846, 0, 2565726409], 'euler41': [1, 20, 274, 2916, 26463, 207272, 1440444, 8498152, 44484303, 200973636, 774258514, 2317124020, 4750104241], 'euler43': [1, 0, -114, 0, 8087, 0, -416540, 0, 14952863, 0, -389743314, 0, 6321363049], 'euler47': [1, 8, 114, 152, 6047, 24336, 518428, 1143792, 13357823, 15781096, 556283634, 1834760056, 10779215329], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, -306, 0, 39639, 0, -2780316, 0, 111345951, 0, -2414487186, 0, 22164361129], 'euler59': [1, 0, -274, 0, 33911, 0, -2503644, 0, 118044191, 0, -3320156914, 0, 42180533641], 'euler61': [1, 0, -110, 0, 10759, 0, -685796, 0, 40034239, 0, -1523042510, 0, 51520374361], 'euler67': [1, 0, -354, 0, 55239, 0, -4821244, 0, 247967871, 0, -7133496834, 0, 90458382169], 'euler7': [1, 4, 14, 44, 143, 456, 1572, 3192, 7007, 15092, 33614, 67228, 117649], 'euler71': [1, 8, 218, 2072, 29599, 225360, 2725100, 16000560, 149208559, 741591592, 5539746458, 14433834808, 128100283921], 'euler73': [1, -36, 978, -17460, 257055, -2911176, 27931196, -212515848, 1369846095, -6792236820, 27773479698, -74630577348, 151334226289], 'euler79': [1, -36, 958, -17228, 255263, -2969896, 29363972, -234621784, 1593096383, -8494075892, 37314177598, -110774030364, 243087455521], 'euler83': [1, 0, -274, 0, 37415, 0, -3513756, 0, 257751935, 0, -13003579954, 0, 326940373369], 'euler89': [1, 28, 722, 11980, 180607, 2091192, 22153916, 186116088, 1430588047, 8445528620, 45299898002, 156353664572, 496981290961], 'euler97': [1, 36, 898, 16660, 251951, 3157064, 33912860, 306235208, 2370606959, 15205132180, 79499294338, 309144249252, 832972004929], 'euler_factors': [[1, 2, 3, 6, 6, 8, 8, 0, 0, 0, 0, 0, 0], [1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 14, 44, 143, 456, 1572, 3192, 7007, 15092, 33614, 67228, 117649], [1, 0, -2, 0, 87, 0, 4, 0, 10527, 0, -29282, 0, 1771561], [1, 0, -22, 0, 407, 0, -7284, 0, 68783, 0, -628342, 0, 4826809], [1, 12, 106, 764, 4479, 22648, 101868, 385016, 1294431, 3753532, 8853226, 17038284, 24137569], [1, 0, -74, 0, 2647, 0, -60620, 0, 955567, 0, -9643754, 0, 47045881], [1, -8, 130, -792, 7215, -33872, 218940, -779056, 3816735, -9636264, 36379330, -51490744, 148035889], [1, 0, -162, 0, 11271, 0, -429948, 0, 9478911, 0, -114579522, 0, 594823321], [1, 12, 190, 1540, 14399, 87608, 591236, 2715848, 13837439, 45878140, 175468990, 343549812, 887503681], [1, 0, -86, 0, 6055, 0, -248372, 0, 8289295, 0, -161177846, 0, 2565726409], [1, 20, 274, 2916, 26463, 207272, 1440444, 8498152, 44484303, 200973636, 774258514, 2317124020, 4750104241], [1, 0, -114, 0, 8087, 0, -416540, 0, 14952863, 0, -389743314, 0, 6321363049], [1, 8, 114, 152, 6047, 24336, 518428, 1143792, 13357823, 15781096, 556283634, 1834760056, 10779215329], [1, 0, -306, 0, 39639, 0, -2780316, 0, 111345951, 0, -2414487186, 0, 22164361129], [1, 0, -274, 0, 33911, 0, -2503644, 0, 118044191, 0, -3320156914, 0, 42180533641], [1, 0, -110, 0, 10759, 0, -685796, 0, 40034239, 0, -1523042510, 0, 51520374361], [1, 0, -354, 0, 55239, 0, -4821244, 0, 247967871, 0, -7133496834, 0, 90458382169], [1, 8, 218, 2072, 29599, 225360, 2725100, 16000560, 149208559, 741591592, 5539746458, 14433834808, 128100283921], [1, -36, 978, -17460, 257055, -2911176, 27931196, -212515848, 1369846095, -6792236820, 27773479698, -74630577348, 151334226289], [1, -36, 958, -17228, 255263, -2969896, 29363972, -234621784, 1593096383, -8494075892, 37314177598, -110774030364, 243087455521], [1, 0, -274, 0, 37415, 0, -3513756, 0, 257751935, 0, -13003579954, 0, 326940373369], [1, 28, 722, 11980, 180607, 2091192, 22153916, 186116088, 1430588047, 8445528620, 45299898002, 156353664572, 496981290961], [1, 36, 898, 16660, 251951, 3157064, 33912860, 306235208, 2370606959, 15205132180, 79499294338, 309144249252, 832972004929]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/600/2/k/c'], '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': '12-600e6-1.1-c1e6-0-1', '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': '12-600e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.188840816797061, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 1715705733196825137, 'z1': {'__RealLiteral__': 0, 'data': '0.25918385832446682173167772046', 'prec': 103}}
• lfunc_instances •

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

  
  {'Lhash': '328554573574478738111253680929,508612879824255979766346644917,1107195576633175008037240527285,1970601618449892963388401266192,2143499735288728719523339103429,2563652055334660465654568576788', 'Lhash_array': ['328554573574478738111253680929', '508612879824255979766346644917', '1107195576633175008037240527285', '1970601618449892963388401266192', '2143499735288728719523339103429', '2563652055334660465654568576788'], 'label': '12-600e6-1.1-c1e6-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/600/2/k/c'}