Embedded newform data - 144.8.i.a.49.2

Formats: - HTML - YAML - JSON - 2024-12-27T20:06:11.914787

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 9216, 'analytic_conductor': 44.98344366971353, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [144, 3, [127, 37, 65], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 49, 'dim': 6, 'field_disc': -14601465675, 'field_disc_factorization': [[-1, 1], [3, 3], [5, 2], [4651, 2]], 'field_poly': [1872, -660, 709, -99, 52, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [166659897600, 48862653840, 14303890521, 7279794, 122607, -54, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 549890031760, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2916, 'hecke_ring_index_factorization': [[2, 2], [3, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '144.8.i.a', 'level': 144, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '18.8.c.a', 'nf_label': '6.0.14601465675.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(14-19\\beta _{1}+\\beta _{2}+\\beta _{4})q^{3}+(18-18\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '144.8.i', 'trace_display': [0, 27, 54, -210], 'trace_hash': 2105275045818809504, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.238', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '154.492', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6462.383', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [6, 0, 27, 0, 54, 0, -210, 0, 2295, 0, -6579, 0, 10092, 0, -756, 0, -29790, 0, 137490, 0, 85464, 0, 39654, 0, -7923, 0, -87480, 0, 239832, 0, -145704, 0, 175365, 0, 1087776, 0, -720384, 0, -2386548, 0, 1086993, 0, 299967, 0, -2798874, 0, -131634, 0, 482175, 0, 3719223, 0, 1909152, 0, 5494824, 0, 6076107, 0, -2504853, 0, 7309038, 0, 1254960, 0, -1786698, 0, -3433035, 0, -5815206, 0, -2269368, 0, -15901746, 0, -4230945, 0, -6147432, 0, -7076928, 0, 4749435, 0, 10914444, 0, 17613396, 0, 11533266, 0, 23800356, 0, 37170552, 0, 30872466, 0, 17342424, 0, 519357, 0, 11453238, 0, 4391334, 0, -15263598, 0, -2543832, 0, -28275030, 0, -5478072, 0, -37994508, 0, -30384324, 0, -29203848, 0, -55011420, 0, 30875058, 0, 9087990, 0, -28437912, 0, -24669252, 0, -33245652, 0, -33096213, 0, 13423752, 0, 5167482, 0, 83231388, 0, 6921117, 0, 27736557, 0, -13150728, 0, -41123196, 0, 107386452, 0, -16683840, 0, 58909932, 0, -5138454, 0, -149990697, 0, -3208032, 0, -56257566, 0, -255975660, 0, 195557076, 0, -42404664, 0, -162110808, 0, 31645008, 0, -191456271, 0, -14615613, 0, -139320180, 0, 119835366, 0, 337941342, 0, 41733000, 0, 262485876, 0, 95562036, 0, -272802276, 0, 257026689, 0, -193751676, 0, 174386898, 0, -95364339, 0, -446425560, 0, 317489184, 0, -293681964, 0, -213692130, 0, 79110180, 0, -119098134, 0, -396863874, 0, 70190181, 0, 468016116, 0, 352822932, 0, -683004744, 0, -351847956, 0, 302981769, 0, -161313678, 0, -256804050, 0, -19140354, 0, 549551997, 0, 552822096, 0, 252481428, 0, 394040142, 0, 218151792, 0, -708222978, 0, -29748726, 0, -37802463, 0, 621175797, 0, 308423484, 0, -230523522, 0, -344692638, 0, 619677558, 0, 422493624, 0, -1292415264, 0, 523343799, 0, -611503800, 0, -63531054, 0, 322995222, 0, -6693300, 0, 1065240018, 0, -774442152, 0, 1250480472, 0, 1505418588, 0, 84579399, 0, 1014657816, 0, 360184104, 0, 953171244, 0, -717095604, 0, -1221479136, 0, 337069620, 0, 651923484, 0, -1475823519, 0, -201626352, 0, 697263444, 0, -1145006037, 0, -1091534148, 0, 479240124, 0, 170558892, 0, -1577995884, 0, 1740097230, 0, 892882242, 0, -347847318, 0, 88104261, 0, -1110599424, 0, 408773952, 0, -255301254, 0, -1741290993, 0, 2485474218, 0, -3832256292, 0, -1156326624, 0, 997159266, 0, -1442422740, 0, 2445085980, 0, 96467652, 0, 1502286915, 0, 1958518656, 0, 1223159436, 0, -1788520704, 0, -2386192770, 0, 958702617, 0, -1037253282, 0, -3501077418, 0, 228355839, 0, 338286024, 0, 1441337058, 0, -3049710156, 0, 1868647968, 0, 1955792160, 0, 1338330708, 0, -936897816, 0, 441659061, 0, 2098433016, 0, -2855756040, 0, 1566219024, 0, -5197051764, 0, 447151506, 0, -4117248846, 0, -1712276604, 0, -280204326, 0, -1020308454, 0, 354340764, 0, 1386223146, 0, 4236626862, 0, 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0, 4087156284, 0, 4563638943, 0, 10593853839, 0, -4719982752, 0, -2270300616, 0, 1263488004, 0, -9717928722, 0, 3654896016, 0, -4415255406, 0, 1472280732, 0, -9132919185, 0, -7676622666, 0, 15130015290, 0, 7193688054, 0, 18976533984, 0, 19222703100, 0, 11493557004, 0, 740069055, 0, 18399704265, 0, 5544497466, 0, 5267635902, 0, 11375604549, 0, 1549698315, 0, 14932689444, 0, -12252233052, 0, -31546592466, 0, -13373127504, 0, 12596725170, 0, -4857464700, 0, -4277363274, 0, 14449928391, 0, 4297467516, 0, 18077949468, 0, -29304492156, 0, 3227068944, 0, 146972934, 0, 5133553704, 0, -2792231241, 0, -12035198511, 0, -13880351268, 0, -1245537624, 0, 22375129230, 0, -53330399640, 0, -8748510936, 0, -18074315700, 0, -17866231641, 0, -3508457493, 0, 763461288, 0, -8572553604, 0, 8333417193, 0, 3478306455, 0, -34939196280, 0, 14074784880, 0, -5619653514, 0, -11529352512, 0, -199734102, 0, 4638039588, 0, 9399137661, 0, -17733640593, 0, 17931193128, 0, -14951786868, 0, 44971578, 0, -19388646648, 0, 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• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
  {'an_normalized': [[1.0, 0.0], [0.0, 0.0], [0.2519356334719284, -0.9677439933097483], [0.0, 0.0], [0.6718552263856226, -1.1636873874305884], [0.0, 0.0], [0.582777708430103, 1.0094006005194995], [0.0, 0.0], [-0.8730568731741963, -0.48761839198629015], [0.0, 0.0], [0.19254246543001696, 0.33349333273936355], [0.0, 0.0], [0.7898539327708725, -1.3680671421172432], [0.0, 0.0], [-0.9568872072153782, -0.943358178824066], [0.0, 0.0], [0.8332928372535915, 0.0], [0.0, 0.0], [1.1800885280395566, 0.0], [0.0, 0.0], [1.1236638391426552, -0.309675647049227], [0.0, 0.0], [0.608091957250659, -1.0532461656321432], [0.0, 0.0], [-0.4027788904433523, -0.6976335024641047], [0.0, 0.0], [-0.6918439062722528, 0.7220470963544902], [0.0, 0.0], [0.29562765255698953, 0.5120421143510252], [0.0, 0.0], [-0.3803829951914598, 0.6588426740068363], [0.0, 0.0], [0.3712444775657265, -0.10231296033459264], [0.0, 0.0], [1.5661689969192047, 0.0], [0.0, 0.0], [-1.7158275835167356, 0.0], [0.0, 0.0], [-1.1249464083254723, -1.109041261112532], [0.0, 0.0], [0.5867998445649392, -1.0163671446599944], [0.0, 0.0], [-0.26052872980354064, -0.4512489968511164], [0.0, 0.0], [-1.154003195807604, 0.688356306684657], [0.0, 0.0], [-0.29758637233942653, -0.5154347165319964], [0.0, 0.0], [-0.1792597148860843, 0.310486933933009], [0.0, 0.0], [0.20993615882110409, -0.8064141379202008], [0.0, 0.0], [1.146979779265506, 0.0], [0.0, 0.0], [0.5174426468013198, 0.0], [0.0, 0.0], [0.2973063508646012, -1.1420235845840234], [0.0, 0.0], [-0.8499680502145421, 1.4721878477818418], [0.0, 0.0], [0.2126831153301463, 0.36837796166384457], [0.0, 0.0], [-0.01659578618229519, -1.1654372611398522], [0.0, 0.0], [-1.0613349856266976, -1.8382861189558244], [0.0, 0.0], [-0.05332778334788104, 0.09236643021355549], [0.0, 0.0], [-0.8660726178079012, -0.8538275789497071], [0.0, 0.0], [-0.32857254901759364, 0.0], [0.0, 0.0], [-0.3140678836763964, 0.0], [0.0, 0.0], [-0.7766049864542452, 0.21402811348398504], [0.0, 0.0], [-0.22441891355757523, 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-0.35071110514265064, -0.3641369299267868, -0.47960061411770305, -0.15343542535182234, -0.23630430573609587, -0.48391190231188724, -0.2272945645351267, -0.24737370068313339, 0.283888265464879, -0.3727890597277222, -0.184567885546017, -0.025229674188644614, -0.4458303527910259, -0.3628356959695964, -0.3409794705368304, -0.4431858323795591, -0.4510531214269355, -0.14019515197343832, -0.3983096309666307, -0.1267945808749217, -0.47532138026491694, -0.12508555787562003, -0.2933920620366308, -0.34729341779255496, -0.14447810310396358, -0.03104117469705156, -0.2741564417163438, 0.038839947256700744, -0.38527698049003867, -0.47025540907593444, -0.04743169587235623, -0.04771371086902457, -0.44135120714849224, -0.37029693845430134, -0.33925542115404916, -0.06422594753589482, -0.1972539339483738, -0.0507056471129541], 'char_orbit_index': 9, 'conrey_index': 49, 'dual_conrey_index': 97, 'dual_embedding_index': 2, 'dual_embedding_m': 5, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': -5.2124266785802815, 'embedding_root_real': 0.5, 'hecke_orbit': 1, 'hecke_orbit_code': 549890031760, 'label': '144.8.i.a.49.2', 'level': 144, 'weight': 8}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  Nk2	integer
  a4_dim	integer
  a5_dim	integer
  analytic_conductor	double precision
  char_conductor	integer
  char_degree	integer
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  conrey_index	integer
  cusp_dim	integer
  dihedral_dim	integer
  dim	integer
  eis_dim	integer
  eis_new_dim	integer
  hecke_cutter_primes	integer[]
  hecke_orbit_code	bigint
  hecke_orbit_dims	integer[]
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 9216, 'analytic_conductor': 44.98344366971353, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [144, 3, [127, 37, 65], [3, 3, 1]], 'conrey_index': 49, 'cusp_dim': 324, 'dim': 82, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549890031760, 'hecke_orbit_dims': [6, 8, 12, 14, 20, 22], 'label': '144.8.i', 'level': 144, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 348, 'mf_new_dim': 86, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 41, 'sturm_bound': 192, 'trace_bound': 1, 'trace_display': [0, 2, -1, 1], 'traces': [82, 0, 2, 0, -1, 0, 1, 0, -1120, 0, -7985, 0, -1, 0, 16541, 0, 23968, 0, 4, 0, 3357, 0, 73003, 0, -578126, 0, 247736, 0, 64011, 0, 161287, 0, 116767, 0, 872754, 0, -4, 0, -912151, 0, -150303, 0, 72079, 0, -930877, 0, 1531569, 0, -4117716, 0, 451330, 0, -4, 0, -156246, 0, 1584170, 0, -5670407, 0, -1, 0, 5075313, 0, 2263697, 0, 1, 0, -1698803, 0, -19088296, 0, 3202760, 0, 11526766, 0, 4621701, 0, 1, 0, 2471672, 0, -12683635, 0, -78126, 0, -20065593, 0, 19738092, 0, 11260346, 0, -13128043, 0, 12417164, 0, 5296361, 0, -58304063, 0, -5181789, 0, 3636127, 0, -9257160, 0, 28446276, 0, -4, 0, 30780192, 0, -121233, 0, -26516691, 0, -18534061, 0, 12962562, 0, -56513726, 0, 119676357, 0, -15648498, 0, 11265400, 0, -13768865, 0, -35716057, 0, -823544, 0, 49276793, 0, 57275577, 0, 12055525, 0, -37267779, 0, -51417590, 0, 156246, 0, 43282918, 0, 69505615, 0, -29787563, 0, -77379146, 0, -90241675, 0, -1, 0, 122359448, 0, 59771346, 0, -5593928, 0, 161850160, 0, -16055901, 0, -139977462, 0, 37643354, 0, -87505161, 0, -1568960, 0, 114830413, 0, 68989896, 0, 123789428, 0, -72019837, 0, 70347126, 0, 19487172, 0, 291774225, 0, -70797351, 0, -70170583, 0, -348135763, 0, -96012348, 0, -181004768, 0, 498227705, 0, 208242879, 0, 88354749, 0, -653840153, 0, -31536950, 0, -96946181, 0, -381136096, 0, 525731266, 0, -216884270, 0, -72668242, 0, -82304066, 0, 182933593, 0, 311945104, 0, 311588607, 0, 158458115, 0, 554356203, 0, -80646784, 0, -106665246, 0, -905567267, 0, -269989957, 0, -238580683, 0, 488612822, 0, -52722962, 0, -337277248, 0, -837500959, 0, -385151428, 0, 38974338, 0, 467424262, 0, 128118025, 0, 141227402, 0, 720751419, 0, -532200707, 0, -247317858, 0, 487772364, 0, -944923220, 0, -751636832, 0, -482956752, 0, 643487774, 0, -1, 0, -58988701, 0, -482862053, 0, 356450479, 0, 1204457900, 0, 1376813178, 0, 941004994, 0, -758155343, 0, -443825253, 0, 738457029, 0, 263301535, 0, -279735743, 0, -38444591, 0, -837706785, 0, -694323562, 0, -3252837716, 0, 1379077513, 0, -37463229, 0, -80802619, 0, -301064886, 0, 334262667, 0, 792515031, 0, 1322864298, 0, 735118444, 0, -1401661648, 0, -1245312832, 0, -1523091051, 0, 700621585, 0, 121590780, 0, 2035850777, 0, -350779807, 0, 678287505, 0, 4221102010, 0, -2656382494, 0, 1957613065, 0, -1783320735, 0, -782821669, 0, 2685804881, 0, 1082959477, 0, 1836850140, 0, -4291912182, 0, -7392868680, 0, 2289168390, 0, 2355523714, 0, 2424288962, 0, 119143273, 0, -1647980283, 0, -2899644222, 0, -1142502793, 0, -658074432, 0, 5634454878, 0, 4232097580, 0, -2140658732, 0, 2703403587, 0, 299394123, 0, -3761638331, 0, -2578422289, 0, 1570737030, 0, -5109126787, 0, 4994309770, 0, -4, 0, 1886224992, 0, 3379120929, 0, -1171664719, 0, 2036784287, 0, 230981826, 0, -310154875, 0, 3380921169, 0, -1690274886, 0, 8863244322, 0, -3272200251, 0, -1954688445, 0, -1, 0, -1378901799, 0, -4647959506, 0, -11024473, 0, 1637447212, 0, 505303544, 0, 1363155008, 0, -3072896976, 0, -6447359432, 0, -2483478071, 0, 3693479668, 0, 559594703, 0, -1898568822, 0, -1386408071, 0, -10829575072, 0, 4743196014, 0, 7740054857, 0, -3891392631, 0, -2054119, 0, 3468830296, 0, 7853073851, 0, -5299294697, 0, 3148216913, 0, -3712828356, 0, 3995624290, 0, 4662769805, 0, -5502785881, 0, -186202826, 0, -7730582764, 0, -1131014587, 0, 848470894, 0, -4304029512, 0, 10957769014, 0, -6359240216, 0, 2430971616, 0, 923723013, 0, -1573223226, 0, -10583189270, 0, 4247655804, 0, -5296721159, 0, -7357894647, 0, 9839872200, 0, 1345032558, 0, -2791134618, 0, 1368129675, 0, 3251202458, 0, -3219871192, 0, 3149942881, 0, 38974341, 0, 2725856235, 0, 12799773256, 0, -18359788592, 0, 4839787620, 0, -3469725782, 0, -2946632828, 0, 8892149221, 0, -6210434091, 0, 8710530492, 0, -8329651968, 0, -448285984, 0, 13311055652, 0, 8357625156, 0, 1711725446, 0, 2153589115, 0, -2191245565, 0, -2213106528, 0, 4420954633, 0, -12010696038, 0, -22427467276, 0, -13955078542, 0, 1630079864, 0, -1697169911, 0, -385694751, 0, -16647864519, 0, -3405243403, 0, 11173602301, 0, 10936954629, 0, 11058663200, 0, -9815972872, 0, -5570652275, 0, -3936802515, 0, 2375667954, 0, 12996210365, 0, -5646479537, 0, 1459017292, 0, 96792312, 0, -5624827636, 0, 18373626588, 0, -11537739116, 0, 7454168499, 0, 4533434477, 0, 11108040221, 0, -9537978950, 0, -4836465221, 0, -2068868499, 0, 35902102026, 0, 2222346236, 0, 7415085033, 0, -5467081635, 0, 5907341035, 0, 6140421157, 0, 3566481054, 0, 2367073945, 0, -12389144426, 0, -5515415736, 0, 44816352112, 0, 3133730185, 0, -20231702816, 0, -976049382, 0, -1856929240, 0, 1681626701, 0, -27640739867, 0, -1411075136, 0, -36284620888, 0, -23471651346, 0, -1397734992, 0, 8012096691, 0, 1980795093, 0, 5024263106, 0, -18111665103, 0, 10194158351, 0, -12824470658, 0, 8249603544, 0, 22124042262, 0, -4906340363, 0, 18741871987, 0, 9648505643, 0, 17504837602, 0, -2607668509, 0, -10324566949, 0, 5354857695, 0, 25892129236, 0, -18561834522, 0, 23056304189, 0, -9756215098, 0, -15323802707, 0, 13959523425, 0, 14128531245, 0, 514635756, 0, 20793835406, 0, 47471974116, 0, -33955199728, 0, -2099509032, 0, -18625894917, 0, 4442050187, 0, 29018359093, 0, 16101580165, 0, 22138257165, 0, -29849254171, 0, -36524233280, 0, -7690634774, 0, -43744049643, 0, 16422990456, 0, -44617319723, 0, -27828190582, 0, -29194620976, 0, 10110865991, 0, -69815896178, 0, 54545095294, 0, -49542117572, 0, 36326194028, 0, 14900879767, 0, 8254374897, 0, 18839610881, 0, -11448627576, 0, 32623326931, 0, 1376572526, 0, 72305116346, 0, -20165059828, 0, 72316692380, 0, 28588242379, 0, -7957517782, 0, -8309742710, 0, 23091826885, 0, -18314014801, 0, 43680379609, 0, -10015000092, 0, -21670981592, 0, 8679789162, 0, -37723957098, 0, 16072505916, 0, -5843124069, 0, -40678570339, 0, 1103570911, 0, 12153355057, 0, -68195583414, 0, 2248398094, 0, -44707581694, 0, -65428451365, 0, 39750556842, 0, 9001568352, 0, -42787293704, 0, -9633415851, 0, 5396743216, 0, -61217637536, 0, -2814666212, 0, 1652791400, 0, 43459515804, 0, -17321782274, 0, 63121521978, 0, 40318762203, 0, -32224622273, 0, 28418624156, 0, 19467442904, 0, -49565537980, 0, 65059751507, 0, -29922382522, 0, 46761876225, 0, -61937634247, 0, 51410897589, 0, -7079852846, 0, -40545840137, 0, 34290394152, 0, 70831233796, 0, 29611193021, 0, -36494559570, 0, 32245972139, 0, -98578308388, 0, 4632068163, 0, -43254492539, 0, -6005937900, 0, -106399547360, 0, 23353750878, 0, -72883322720, 0, 32576752325, 0, 11240109857, 0, -47570269481, 0, -59833020375, 0, -17970221941, 0, -15871402155, 0, 64293996604, 0, 109209056620, 0, -71887487351, 0, 50888808791, 0, -12630305528, 0, 139982782855, 0, -62465188944, 0, -44635586748, 0, -53120404043, 0, 182068911990, 0, -18116857320, 0, 113289816303, 0, 13631589990, 0, -76390934333, 0, 44437567791, 0, 36765766105, 0, 22473804057, 0, -40052578336, 0, -9241309470, 0, 71293294792, 0, -20449140834, 0, -65769549460, 0, -27088087000, 0, -242913135125, 0, -45759805685, 0, 47325981522, 0, 118412977125, 0, -98014682116, 0, 97392015356, 0, -113007424587, 0, 30970605591, 0, -90235451007, 0, -45902597640, 0, -15607162677, 0, 5532614854, 0, 47004436695, 0, -65938647552, 0, -109801801902, 0, 79466511417, 0, 65188608531, 0, -37886742396, 0, 135894507690, 0, 44538225253, 0, 54078473707, 0, 55615501690, 0, 119398058688, 0, -7104392102, 0, 261704130100, 0, -4313049675, 0, -5677572318, 0, 143552100236, 0, 86194567425, 0, 9989466018, 0, -28460032233, 0, 103047790010, 0, -235554258992, 0, 101319207341, 0, -65468625212, 0, -38576302093, 0, -177023301312, 0], 'weight': 8, 'weight_parity': 1}
• mf_twists_cc •

  Column	Type
  conductor	integer
  degree	integer
  order	integer
  parity	smallint
  source_conrey_index	integer
  source_dim	integer
  source_embedding_index	integer
  source_hecke_orbit_code	bigint
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_conrey_index	integer
  target_dim	integer
  target_embedding_index	integer
  target_hecke_orbit_code	bigint
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_conrey_index	integer
  weight	smallint

  
  
  • id: 6919861
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 549890031760, 'source_is_minimal': False, 'source_label': '144.8.i.a.49.2', 'source_level': 144, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549890031760, 'target_is_minimal': False, 'target_label': '144.8.i.a.49.2', 'target_level': 144, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
  • id: 6919862
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 549890031760, 'source_is_minimal': False, 'source_label': '144.8.i.a.49.2', 'source_level': 144, 'target_conrey_index': 145, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549890032048, 'target_is_minimal': False, 'target_label': '432.8.i.a.145.1', 'target_level': 432, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
  • id: 6919863
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 549890031760, 'source_is_minimal': False, 'source_label': '144.8.i.a.49.2', 'source_level': 144, 'target_conrey_index': 13, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137573171218, 'target_is_minimal': True, 'target_label': '18.8.c.a.13.2', 'target_level': 18, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 8}
  • id: 6919864
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 549890031760, 'source_is_minimal': False, 'source_label': '144.8.i.a.49.2', 'source_level': 144, 'target_conrey_index': 289, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549890032048, 'target_is_minimal': False, 'target_label': '432.8.i.a.289.1', 'target_level': 432, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 8}
  • id: 6919865
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 549890031760, 'source_is_minimal': False, 'source_label': '144.8.i.a.49.2', 'source_level': 144, 'target_conrey_index': 97, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549890031760, 'target_is_minimal': False, 'target_label': '144.8.i.a.97.2', 'target_level': 144, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 8}
  • id: 6919866
    {'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 549890031760, 'source_is_minimal': False, 'source_label': '144.8.i.a.49.2', 'source_level': 144, 'target_conrey_index': 37, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137573171254, 'target_is_minimal': False, 'target_label': '54.8.c.a.37.1', 'target_level': 54, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 8}
  • id: 6919867
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 549890031760, 'source_is_minimal': False, 'source_label': '144.8.i.a.49.2', 'source_level': 144, 'target_conrey_index': 7, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137573171218, 'target_is_minimal': True, 'target_label': '18.8.c.a.7.2', 'target_level': 18, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 8}
  • id: 6919868
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 549890031760, 'source_is_minimal': False, 'source_label': '144.8.i.a.49.2', 'source_level': 144, 'target_conrey_index': 19, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137573171254, 'target_is_minimal': False, 'target_label': '54.8.c.a.19.1', 'target_level': 54, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 8}
  • id: 6919869
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 549890031760, 'source_is_minimal': False, 'source_label': '144.8.i.a.49.2', 'source_level': 144, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014398643699874, 'target_is_minimal': False, 'target_label': '162.8.a.e.1.3', 'target_level': 162, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 8}
  • id: 6919870
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 549890031760, 'source_is_minimal': False, 'source_label': '144.8.i.a.49.2', 'source_level': 144, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998271070370, 'target_is_minimal': False, 'target_label': '162.8.a.f.1.1', 'target_level': 162, 'twist_class_label': '18.8.c.a.7.2', 'twist_class_level': 18, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 8}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 385025
    {'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 549890031760, 'p': 2}
  • id: 385026
    {'charpoly_factorization': [[[10460353203, -129140163, -1712421, 56862, -783, -27, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 3}
  • id: 385027
    {'charpoly_factorization': [[[166659897600, 48862653840, 14303890521, 7279794, 122607, -54, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 5}
  • id: 385028
    {'charpoly_factorization': [[[152127249740384356, 379182992031318, 1027035455469, 575912698, 1016277, 210, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 7}
  • id: 385029
    {'charpoly_factorization': [[[351472434331647629025, 57089079610606395, 132613331576886, 17461213551, 46328382, 6579, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 11}
  • id: 385030
    {'charpoly_factorization': [[[1847649094932934160122564, -188840612752821397182, 33018501796644777, -1316517088048, 240775143, -10092, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 13}
  • id: 385031
    {'charpoly_factorization': [[[2214690411708, -667558368, 14895, 1], 2]], 'hecke_orbit_code': 549890031760, 'p': 17}
  • id: 385032
    {'charpoly_factorization': [[[22074972070832, 554967912, -68745, 1], 2]], 'hecke_orbit_code': 549890031760, 'p': 19}
  • id: 385033
    {'charpoly_factorization': [[[168335989170121626659828100, 26457454826483019542190, 3643843628523503421, 106811262814194, 3611638557, -39654, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 23}
  • id: 385034
    {'charpoly_factorization': [[[2240196216297773230139129020836, -9998602803249255462526362, 403589864618155463121, -1391306117824548, 64199693151, -239832, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 29}
  • id: 385035
    {'charpoly_factorization': [[[8165552066769305402919075235600, 57672252689134042710446340, 823687211403416438961, 2774420610215776, 41412117417, 145704, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 31}
  • id: 385036
    {'charpoly_factorization': [[[-8117079425236016, -104418981852, 360192, 1], 2]], 'hecke_orbit_code': 549890031760, 'p': 37}
  • id: 385037
    {'charpoly_factorization': [[[1646708339845523612579353125832161, -15139676290721509571855663313, 95082910961231930311746, -324381902968228977, 808468388226, -1086993, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 41}
  • id: 385038
    {'charpoly_factorization': [[[1407665857219825531175912213713369, 11007953430304553965042824153, 74827822201696943840382, 163047392828367397, 383377961958, -299967, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 43}
  • id: 385039
    {'charpoly_factorization': [[[172754922417895937413444307081691204, 459211170288546643434537632670, 1275371366871431355623757, 685842155827269786, 1122162012621, 131634, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 47}
  • id: 385040
    {'charpoly_factorization': [[[3367179313472921040, -3067331401980, -954576, 1], 2]], 'hecke_orbit_code': 549890031760, 'p': 53}
  • id: 385041
    {'charpoly_factorization': [[[9477338452749275744274958664795696481, 4994277993032713496073020418813, 10343098926499190967572526, 2093449660927958097, 7896582384966, 2504853, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 59}
  • id: 385042
    {'charpoly_factorization': [[[65572645626322269610754165887433636416, -126983745098981839957726911142920, 186722156999653550096657577, -98421074221636788118, 37740566240799, -7309038, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 61}
  • id: 385043
    {'charpoly_factorization': [[[536697352246764665715862152404161, -17241578273343859001287859517, 633423543656388190411614, 2601331213690271743, 11041490538582, 3433035, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 67}
  • id: 385044
    {'charpoly_factorization': [[[-4720430247866866944, -4621253859936, 1134684, 1], 2]], 'hecke_orbit_code': 549890031760, 'p': 71}
  • id: 385045
    {'charpoly_factorization': [[[8401767644032499908, 15258653987016, 7950873, 1], 2]], 'hecke_orbit_code': 549890031760, 'p': 73}
  • id: 385046
    {'charpoly_factorization': [[[877862814611650929269227284846243696784, 176224722309054746213395254154068, 245056389877474839005817777, 17165623291027519912, 56030670909753, 7076928, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 79}
  • id: 385047
    {'charpoly_factorization': [[[35787085535327992267154754355364449895184, -1707728838135424608955308816595284, 2146228547017365839358346041, -279822019963486012524, 128152343581389, -10914444, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 83}
  • id: 385048
    {'charpoly_factorization': [[[2845595620276216200, 3372725739996, -11900178, 1], 2]], 'hecke_orbit_code': 549890031760, 'p': 89}
  • id: 385049
    {'charpoly_factorization': [[[882214785360125104649694074453157648555961, -201856844696289905760989837927839437, 46674054961105108575429176946, -1766910856155437481973, 215179578377826, -519357, 1], 1]], 'hecke_orbit_code': 549890031760, 'p': 97}
• mf_newform_portraits •

  Column	Type
  char_orbit_index	smallint
  hecke_orbit	integer
  label	text
  level	integer
  portrait	text
  weight	smallint

  
  {'char_orbit_index': 9, 'hecke_orbit': 1, 'label': '144.8.i.a', 'level': 144, 'portrait': 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', 'weight': 8}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 10074966
    {'hecke_orbit_code': 549890031760, 'n': 1, 'trace_an': 6}
  • id: 10074967
    {'hecke_orbit_code': 549890031760, 'n': 2, 'trace_an': 0}
  • id: 10074968
    {'hecke_orbit_code': 549890031760, 'n': 3, 'trace_an': 27}
  • id: 10074969
    {'hecke_orbit_code': 549890031760, 'n': 4, 'trace_an': 0}
  • id: 10074970
    {'hecke_orbit_code': 549890031760, 'n': 5, 'trace_an': 54}
  • id: 10074971
    {'hecke_orbit_code': 549890031760, 'n': 6, 'trace_an': 0}
  • id: 10074972
    {'hecke_orbit_code': 549890031760, 'n': 7, 'trace_an': -210}
  • id: 10074973
    {'hecke_orbit_code': 549890031760, 'n': 8, 'trace_an': 0}
  • id: 10074974
    {'hecke_orbit_code': 549890031760, 'n': 9, 'trace_an': 2295}
  • id: 10074975
    {'hecke_orbit_code': 549890031760, 'n': 10, 'trace_an': 0}
  • id: 10074976
    {'hecke_orbit_code': 549890031760, 'n': 11, 'trace_an': -6579}
  • id: 10074977
    {'hecke_orbit_code': 549890031760, 'n': 12, 'trace_an': 0}
  • id: 10074978
    {'hecke_orbit_code': 549890031760, 'n': 13, 'trace_an': 10092}
  • id: 10074979
    {'hecke_orbit_code': 549890031760, 'n': 14, 'trace_an': 0}
  • id: 10074980
    {'hecke_orbit_code': 549890031760, 'n': 15, 'trace_an': -756}
  • id: 10074981
    {'hecke_orbit_code': 549890031760, 'n': 16, 'trace_an': 0}
  • id: 10074982
    {'hecke_orbit_code': 549890031760, 'n': 17, 'trace_an': -29790}
  • id: 10074983
    {'hecke_orbit_code': 549890031760, 'n': 18, 'trace_an': 0}
  • id: 10074984
    {'hecke_orbit_code': 549890031760, 'n': 19, 'trace_an': 137490}
  • id: 10074985
    {'hecke_orbit_code': 549890031760, 'n': 20, 'trace_an': 0}
  • id: 10074986
    {'hecke_orbit_code': 549890031760, 'n': 21, 'trace_an': 85464}
  • id: 10074987
    {'hecke_orbit_code': 549890031760, 'n': 22, 'trace_an': 0}
  • id: 10074988
    {'hecke_orbit_code': 549890031760, 'n': 23, 'trace_an': 39654}
  • id: 10074989
    {'hecke_orbit_code': 549890031760, 'n': 24, 'trace_an': 0}
  • id: 10074990
    {'hecke_orbit_code': 549890031760, 'n': 25, 'trace_an': -7923}
  • id: 10074991
    {'hecke_orbit_code': 549890031760, 'n': 26, 'trace_an': 0}
  • id: 10074992
    {'hecke_orbit_code': 549890031760, 'n': 27, 'trace_an': -87480}
  • id: 10074993
    {'hecke_orbit_code': 549890031760, 'n': 28, 'trace_an': 0}
  • id: 10074994
    {'hecke_orbit_code': 549890031760, 'n': 29, 'trace_an': 239832}
  • id: 10074995
    {'hecke_orbit_code': 549890031760, 'n': 30, 'trace_an': 0}
  • id: 10074996
    {'hecke_orbit_code': 549890031760, 'n': 31, 'trace_an': -145704}
  • id: 10074997
    {'hecke_orbit_code': 549890031760, 'n': 32, 'trace_an': 0}
  • id: 10074998
    {'hecke_orbit_code': 549890031760, 'n': 33, 'trace_an': 175365}
  • id: 10074999
    {'hecke_orbit_code': 549890031760, 'n': 34, 'trace_an': 0}
  • id: 10075000
    {'hecke_orbit_code': 549890031760, 'n': 35, 'trace_an': 1087776}
  • id: 10075001
    {'hecke_orbit_code': 549890031760, 'n': 36, 'trace_an': 0}
  • id: 10075002
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  • id: 10075201
    {'hecke_orbit_code': 549890031760, 'n': 853, 'trace_an': 13960155036}
  • id: 10075202
    {'hecke_orbit_code': 549890031760, 'n': 857, 'trace_an': -3268481940}
  • id: 10075203
    {'hecke_orbit_code': 549890031760, 'n': 859, 'trace_an': -5719543437}
  • id: 10075204
    {'hecke_orbit_code': 549890031760, 'n': 863, 'trace_an': 130367596752}
  • id: 10075205
    {'hecke_orbit_code': 549890031760, 'n': 877, 'trace_an': -1655904786}
  • id: 10075206
    {'hecke_orbit_code': 549890031760, 'n': 881, 'trace_an': 91161850500}
  • id: 10075207
    {'hecke_orbit_code': 549890031760, 'n': 883, 'trace_an': 108741778566}
  • id: 10075208
    {'hecke_orbit_code': 549890031760, 'n': 887, 'trace_an': 29737652148}
  • id: 10075209
    {'hecke_orbit_code': 549890031760, 'n': 907, 'trace_an': -24119707863}
  • id: 10075210
    {'hecke_orbit_code': 549890031760, 'n': 911, 'trace_an': 21015345636}
  • id: 10075211
    {'hecke_orbit_code': 549890031760, 'n': 919, 'trace_an': -68492050428}
  • id: 10075212
    {'hecke_orbit_code': 549890031760, 'n': 929, 'trace_an': -5816809440}
  • id: 10075213
    {'hecke_orbit_code': 549890031760, 'n': 937, 'trace_an': -109035277548}
  • id: 10075214
    {'hecke_orbit_code': 549890031760, 'n': 941, 'trace_an': 31958685306}
  • id: 10075215
    {'hecke_orbit_code': 549890031760, 'n': 947, 'trace_an': -7822238589}
  • id: 10075216
    {'hecke_orbit_code': 549890031760, 'n': 953, 'trace_an': -537799014}
  • id: 10075217
    {'hecke_orbit_code': 549890031760, 'n': 961, 'trace_an': 20943263115}
  • id: 10075218
    {'hecke_orbit_code': 549890031760, 'n': 967, 'trace_an': -42342031002}
  • id: 10075219
    {'hecke_orbit_code': 549890031760, 'n': 971, 'trace_an': 60090764760}
  • id: 10075220
    {'hecke_orbit_code': 549890031760, 'n': 977, 'trace_an': 68215046301}
  • id: 10075221
    {'hecke_orbit_code': 549890031760, 'n': 983, 'trace_an': -29774933316}
  • id: 10075222
    {'hecke_orbit_code': 549890031760, 'n': 991, 'trace_an': 4185043296}
  • id: 10075223
    {'hecke_orbit_code': 549890031760, 'n': 997, 'trace_an': 41784828834}