Embedded newform data - 50.18.a.g.1.2

Formats: - HTML - YAML - JSON - 2025-03-13T21:38:34.633935

• 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': 16200, 'analytic_conductor': 91.61104367227983, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [50, 1, [27], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 36061, 'field_disc_factorization': [[36061, 1]], 'field_poly': [-9015, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-220842684, -6308, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021598066212914, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 160, 'hecke_ring_index_factorization': [[2, 5], [5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '50.18.a.g', 'level': 50, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '10.18.a.b', 'nf_label': '2.2.36061.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2^{8}q^{2}+(3154-\\beta )q^{3}+2^{16}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '17.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '50.18.a', 'trace_display': [512, 6308, 0, -6543844], 'trace_hash': 1882378073741676128, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.970', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.600', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.227', 'prec': 17}, {'__RealLiteral__': 0, 'data': '64.218', 'prec': 20}], 'trace_zratio': 0, 'traces': [2, 512, 6308, 131072, 0, 1614848, -6543844, 33554432, 223195906, 0, 1189408704, 413401088, 2017919228, -1675224064, 0, 8589934592, 18755639436, 57138151936, -136704830600, 0, -409751898376, 304488628224, 649234170708, 105830678528, 0, 516587322368, 2800995425720, -428857360384, -4696543420020, 0, 7120867378744, 2199023255552, 9631011282816, 4801443695616, 0, 14627366895616, -9933114637444, -34996436633600, 63033715222712, 0, 9622711880844, -104896485984256, -7708436011852, 77949088825344, 0, 166203947701248, 466072575837996, 27092653703168, -115828146887046, 0, -838218717084456, 132246354526208, 623333120284428, 717054828984320, 0, -109787484258304, 950883425062000, -1202315115525120, 654616071995160, 0, 1329040385162884, 1822942048958464, -3184801966786532, 562949953421312, 0, 2465538888400896, 4249016411877596, 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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

  
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[-1.0912482431038615, 0.0], [1.086703329734753, 0.0], [0.5676020170042397, 0.0], [0.0, 0.0], [0.4651851472591261, 0.0], [-1.454132527224835, 0.0], [1.2367447397949893, 0.0], [0.3657077526094852, 0.0], [0.0, 0.0], [-1.3039975759371354, 0.0], [-0.747404299367331, 0.0], [-1.5713041639483036, 0.0], [0.17300643582791833, 0.0], [0.0, 0.0], [0.35117202151014226, 0.0], [-0.821464617492834, 0.0], [-0.9721925679782385, 0.0], [0.8944441428325913, 0.0], [0.0, 0.0], [1.1894518834767547, 0.0], [-0.07601276817485929, 0.0], [-1.9588393291143948, 0.0], [-0.3871385133458536, 0.0], [0.0, 0.0], [-0.08199655634971381, 0.0], [0.7997476918548211, 0.0], [-0.6933465720723362, 0.0], [-2.741396513131996, 0.0], [0.0, 0.0], [0.6525611091869865, 0.0], [0.1264065737483198, 0.0], [0.03316652711339041, 0.0], [-0.34242204917338287, 0.0], [0.0, 0.0], [0.3289164206569485, 0.0], [-1.623845262831637, 0.0], [-0.7354424677481675, 0.0], [0.1582012164738478, 0.0], [0.0, 0.0], [-0.029128808371395466, 0.0], [-0.15832245743798626, 0.0], [-0.5688065044719355, 0.0], [-0.44710600897639474, 0.0], [0.0, 0.0], [-0.09317724594907721, 0.0], [2.796342115325377, 0.0], [0.28059974662884224, 0.0], [-1.6581618910139682, 0.0], [0.0, 0.0], [0.1575978747736859, 0.0], [0.6006886188733311, 0.0], [-2.8861508157366274, 0.0], [0.30246852970107, 0.0], [0.0, 0.0], [-1.9186313466143177, 0.0], [1.3559236162708794, 0.0], [0.622480718360583, 0.0], [0.5575375502162557, 0.0], [0.0, 0.0], [-0.9856204463099333, 0.0], [-0.12465901146931133, 0.0], [0.6660789197008506, 0.0], [0.6477208700142151, 0.0], [0.0, 0.0], [-0.053015704901812594, 0.0], [-0.05242441194982785, 0.0], [-0.4849899575294292, 0.0], [-1.5148226382563623, 0.0], [0.0, 0.0], [2.7836809225797494, 0.0], [0.25870499528273644, 0.0], [-1.3210799077409339, 0.0], [-0.9434061576270539, 0.0], [0.0, 0.0], [-0.9364764083720122, 0.0], [-2.0371068445968716, 0.0], [-0.15892217594678615, 0.0], [1.7623373169005498, 0.0], [0.0, 0.0], [-0.034376140833650405, 0.0], [-0.4251352599820413, 0.0], [1.655876025505148, 0.0], [0.6090901979989461, 0.0], [0.0, 0.0], [0.5549345295094893, 0.0], [1.3675477013776458, 0.0], [-0.9073305064221092, 0.0], [0.29555102374858794, 0.0], [0.0, 0.0], [-1.6215038118783045, 0.0], [0.557640296845321, 0.0], [1.358187206383892, 0.0], [-0.21438457156348348, 0.0], [0.0, 0.0], [1.3295100998320812, 0.0], [1.5525519539587425, 0.0], [0.6512095440327175, 0.0], [-0.09926614203698128, 0.0], [0.0, 0.0], [0.9058560757245061, 0.0], [0.2612043207485103, 0.0], [-0.1193365449004668, 0.0], [-0.2554055812128729, 0.0], [0.0, 0.0], [-0.49913070098781354, 0.0], [-1.609064078301114, 0.0], [-0.4819659657127197, 0.0], [-0.3024263886285267, 0.0], [0.0, 0.0], [2.4020044358622212, 0.0], [-0.8903366155055904, 0.0], [2.1133739667763596, 0.0], [0.3556115672676808, 0.0], [0.0, 0.0], [-2.1330888141615447, 0.0], [0.47645506523387937, 0.0], [0.08102820090572074, 0.0], [0.3494573389067279, 0.0], [0.0, 0.0], [1.6273060730364175, 0.0], [-0.5105436337057278, 0.0], [-0.32187483626276453, 0.0], [-0.9948675875718919, 0.0], [0.0, 0.0], [-0.19036367570980087, 0.0], [-0.34158922755977306, 0.0], [0.3895068525688841, 0.0], [-0.6607500343512458, 0.0], [0.0, 0.0], [-0.3453321894515898, 0.0], [-0.027104358571026426, 0.0], [0.5739536340084845, 0.0], [0.4373377194503681, 0.0], [0.0, 0.0], [0.445507469095427, 0.0], [-3.1340586128342363, 0.0], [-0.15091388821166668, 0.0], [3.0060892642463757, 0.0], [0.0, 0.0], [-0.9760730618392198, 0.0], [0.3260561893611198, 0.0], [-0.3863191037345342, 0.0], [1.0077382014066818, 0.0], [0.0, 0.0], [0.4849458214512341, 0.0], [0.21377710172522463, 0.0], [-0.7149699050535001, 0.0], [-1.261029534702396, 0.0], [0.0, 0.0]], 'angles': [None, -0.10049368386464466, None, -0.3383584850093664, -0.1564848925132143, -0.16875433361784212, -0.3069794234233161, -0.2746779890794359, -0.07663869247536818, -0.3241988770243236, -0.06318407292809806, -0.3614162915542763, -0.18742608981812117, -0.0889193790268494, -0.06377611704099992, -0.26793285081311, -0.32052631168465257, -0.3121631770921057, -0.14586467160472466, -0.3681343491128545, -0.25808717728426406, -0.18391752634557493, -0.2014413482341525, -0.2981578016681931, -0.35436831879033825, -0.2222371851727575, -0.35932079784656945, -0.13572856793838942, -0.2671420077694049, -0.17965228585968104, -0.2619534557211108, -0.24604220212553002, -0.22709155390065724, -0.22560707273045136, -0.28137081429326344, -0.40883131862420263, -0.21072922618698714, -0.2227137286362351, -0.27065035195238335, -0.3487050335084996, -0.35824483265315415, -0.32476197827153275, -0.2097528563229182, -0.3839107408655183, -0.21653180320408738, -0.23402498766232355, -0.27385188127627497, -0.2753042751379508, -0.1430624532199342, -0.2584416691009289, -0.3198867367432177, -0.3331736230170772, -0.19213630396072717, -0.29456628135610397, -0.24717951741641722, -0.04123288347013986, -0.36161884729317934, -0.22247229077645225, -0.2710834475845775, -0.23040746184939756, -0.27708430785258853, 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-0.4007894591404523, -0.13143173299975378, -0.33201515929603154, -0.386768094230364, -0.07837871971012633, -0.13016874002333179, -0.4004707217793318, -0.10855316474130777, -0.2595021446229944, -0.21171680142982252, -0.09873779417938773, -0.2773167299532142, -0.20367486461155748, -0.33114336096844665, -0.23295559724037188], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -94.44867034350717, 'hecke_orbit': 7, 'hecke_orbit_code': 27021598066212914, 'label': '50.18.a.g.1.2', 'level': 50, 'weight': 18}
• 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

  
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• 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: 45699401
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021598066212914, 'source_is_minimal': False, 'source_label': '50.18.a.g.1.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021598066212914, 'target_is_minimal': False, 'target_label': '50.18.a.g.1.2', 'target_level': 50, 'twist_class_label': '10.18.a.b.1.1', 'twist_class_level': 10, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 18}
  • id: 45699402
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021598066212914, 'source_is_minimal': False, 'source_label': '50.18.a.g.1.2', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014467530948658, 'target_is_minimal': False, 'target_label': '50.18.b.e.49.3', 'target_level': 50, 'twist_class_label': '10.18.a.b.1.1', 'twist_class_level': 10, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 18}
  • id: 45699403
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021598066212914, 'source_is_minimal': False, 'source_label': '50.18.a.g.1.2', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014467530948658, 'target_is_minimal': False, 'target_label': '50.18.b.e.49.2', 'target_level': 50, 'twist_class_label': '10.18.a.b.1.1', 'twist_class_level': 10, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 18}
  • id: 45699404
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021598066212914, 'source_is_minimal': False, 'source_label': '50.18.a.g.1.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599929360394, 'target_is_minimal': True, 'target_label': '10.18.a.b.1.1', 'target_level': 10, 'twist_class_label': '10.18.a.b.1.1', 'twist_class_level': 10, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 18}
  • id: 45699405
    {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021598066212914, 'source_is_minimal': False, 'source_label': '50.18.a.g.1.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795457806426, 'target_is_minimal': False, 'target_label': '90.18.a.n.1.2', 'target_level': 90, 'twist_class_label': '10.18.a.b.1.1', 'twist_class_level': 10, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 18}
  • id: 45699406
    {'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021598066212914, 'source_is_minimal': False, 'source_label': '50.18.a.g.1.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398811471952, 'target_is_minimal': False, 'target_label': '80.18.a.e.1.2', 'target_level': 80, 'twist_class_label': '10.18.a.b.1.1', 'twist_class_level': 10, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 18}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 103325
    {'charpoly_factorization': [[[-256, 1], 2]], 'hecke_orbit_code': 27021598066212914, 'p': 2}
  • id: 103326
    {'charpoly_factorization': [[[-220842684, -6308, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 3}
  • id: 103327
    {'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021598066212914, 'p': 5}
  • id: 103328
    {'charpoly_factorization': [[[-153305493395516, 6543844, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 7}
  • id: 103329
    {'charpoly_factorization': [[[316225990516322304, -1189408704, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 11}
  • id: 103330
    {'charpoly_factorization': [[[-2460695884369924604, -2017919228, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 13}
  • id: 103331
    {'charpoly_factorization': [[[-784363255778308730076, -18755639436, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 17}
  • id: 103332
    {'charpoly_factorization': [[[2603007045325692240400, 136704830600, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 19}
  • id: 103333
    {'charpoly_factorization': [[[-10973268187010188845084, -649234170708, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 23}
  • id: 103334
    {'charpoly_factorization': [[[5508970170514004823185700, 4696543420020, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 29}
  • id: 103335
    {'charpoly_factorization': [[[-14345742526148948364364016, -7120867378744, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 31}
  • id: 103336
    {'charpoly_factorization': [[[-484432108169645100947224316, 9933114637444, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 37}
  • id: 103337
    {'charpoly_factorization': [[[-1157772998384317962237572316, -9622711880844, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 41}
  • id: 103338
    {'charpoly_factorization': [[[-17897048835664392023568076124, 7708436011852, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 43}
  • id: 103339
    {'charpoly_factorization': [[[49738307140865185199076466404, -466072575837996, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 47}
  • id: 103340
    {'charpoly_factorization': [[[-73922716790768933840818275804, -623333120284428, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 53}
  • id: 103341
    {'charpoly_factorization': [[[-1568501329134599435175673273200, -654616071995160, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 59}
  • id: 103342
    {'charpoly_factorization': [[[-2815111724254767870240734442236, -1329040385162884, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 61}
  • id: 103343
    {'charpoly_factorization': [[[822277873191915400691600462404, -4249016411877596, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 67}
  • id: 103344
    {'charpoly_factorization': [[[-69081764827618557886098380486256, -2035131949347624, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 71}
  • id: 103345
    {'charpoly_factorization': [[[1083969180616242495515800718596, 2248593461347972, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 73}
  • id: 103346
    {'charpoly_factorization': [[[90399141301355560327790083624000, -19188427678495120, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 79}
  • id: 103347
    {'charpoly_factorization': [[[75777874520063521846377998088036, -18474649086611988, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 83}
  • id: 103348
    {'charpoly_factorization': [[[-103456770608888529015481238439900, 17458912916395020, 1], 1]], 'hecke_orbit_code': 27021598066212914, 'p': 89}
  • id: 103349
    {'charpoly_factorization': [[[9582882708180740388009167111834884, 195934325822490244, 1], 1]], 'hecke_orbit_code': 27021598066212914, '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': 1, 'hecke_orbit': 7, 'label': '50.18.a.g', 'level': 50, 'portrait': 'data:image/png;base64,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', 'weight': 18}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 47033377
    {'hecke_orbit_code': 27021598066212914, 'n': 1, 'trace_an': 2}
  • id: 47033378
    {'hecke_orbit_code': 27021598066212914, 'n': 2, 'trace_an': 512}
  • id: 47033379
    {'hecke_orbit_code': 27021598066212914, 'n': 3, 'trace_an': 6308}
  • id: 47033380
    {'hecke_orbit_code': 27021598066212914, 'n': 4, 'trace_an': 131072}
  • id: 47033381
    {'hecke_orbit_code': 27021598066212914, 'n': 5, 'trace_an': 0}
  • id: 47033382
    {'hecke_orbit_code': 27021598066212914, 'n': 6, 'trace_an': 1614848}
  • id: 47033383
    {'hecke_orbit_code': 27021598066212914, 'n': 7, 'trace_an': -6543844}
  • id: 47033384
    {'hecke_orbit_code': 27021598066212914, 'n': 8, 'trace_an': 33554432}
  • id: 47033385
    {'hecke_orbit_code': 27021598066212914, 'n': 9, 'trace_an': 223195906}
  • id: 47033386
    {'hecke_orbit_code': 27021598066212914, 'n': 10, 'trace_an': 0}
  • id: 47033387
    {'hecke_orbit_code': 27021598066212914, 'n': 11, 'trace_an': 1189408704}
  • id: 47033388
    {'hecke_orbit_code': 27021598066212914, 'n': 12, 'trace_an': 413401088}
  • id: 47033389
    {'hecke_orbit_code': 27021598066212914, 'n': 13, 'trace_an': 2017919228}
  • id: 47033390
    {'hecke_orbit_code': 27021598066212914, 'n': 14, 'trace_an': -1675224064}
  • id: 47033391
    {'hecke_orbit_code': 27021598066212914, 'n': 15, 'trace_an': 0}
  • id: 47033392
    {'hecke_orbit_code': 27021598066212914, 'n': 16, 'trace_an': 8589934592}
  • id: 47033393
    {'hecke_orbit_code': 27021598066212914, 'n': 17, 'trace_an': 18755639436}
  • id: 47033394
    {'hecke_orbit_code': 27021598066212914, 'n': 18, 'trace_an': 57138151936}
  • id: 47033395
    {'hecke_orbit_code': 27021598066212914, 'n': 19, 'trace_an': -136704830600}
  • id: 47033396
    {'hecke_orbit_code': 27021598066212914, 'n': 20, 'trace_an': 0}
  • id: 47033397
    {'hecke_orbit_code': 27021598066212914, 'n': 21, 'trace_an': -409751898376}
  • id: 47033398
    {'hecke_orbit_code': 27021598066212914, 'n': 22, 'trace_an': 304488628224}
  • id: 47033399
    {'hecke_orbit_code': 27021598066212914, 'n': 23, 'trace_an': 649234170708}
  • id: 47033400
    {'hecke_orbit_code': 27021598066212914, 'n': 24, 'trace_an': 105830678528}
  • id: 47033401
    {'hecke_orbit_code': 27021598066212914, 'n': 25, 'trace_an': 0}
  • id: 47033402
    {'hecke_orbit_code': 27021598066212914, 'n': 26, 'trace_an': 516587322368}
  • id: 47033403
    {'hecke_orbit_code': 27021598066212914, 'n': 27, 'trace_an': 2800995425720}
  • id: 47033404
    {'hecke_orbit_code': 27021598066212914, 'n': 28, 'trace_an': -428857360384}
  • id: 47033405
    {'hecke_orbit_code': 27021598066212914, 'n': 29, 'trace_an': -4696543420020}
  • id: 47033406
    {'hecke_orbit_code': 27021598066212914, 'n': 30, 'trace_an': 0}
  • id: 47033407
    {'hecke_orbit_code': 27021598066212914, 'n': 31, 'trace_an': 7120867378744}
  • id: 47033408
    {'hecke_orbit_code': 27021598066212914, 'n': 32, 'trace_an': 2199023255552}
  • id: 47033409
    {'hecke_orbit_code': 27021598066212914, 'n': 33, 'trace_an': 9631011282816}
  • id: 47033410
    {'hecke_orbit_code': 27021598066212914, 'n': 34, 'trace_an': 4801443695616}
  • id: 47033411
    {'hecke_orbit_code': 27021598066212914, 'n': 35, 'trace_an': 0}
  • id: 47033412
    {'hecke_orbit_code': 27021598066212914, 'n': 36, 'trace_an': 14627366895616}
  • id: 47033413
    {'hecke_orbit_code': 27021598066212914, 'n': 37, 'trace_an': -9933114637444}
  • id: 47033414
    {'hecke_orbit_code': 27021598066212914, 'n': 38, 'trace_an': -34996436633600}
  • id: 47033415
    {'hecke_orbit_code': 27021598066212914, 'n': 39, 'trace_an': 63033715222712}
  • id: 47033416
    {'hecke_orbit_code': 27021598066212914, 'n': 40, 'trace_an': 0}
  • id: 47033417
    {'hecke_orbit_code': 27021598066212914, 'n': 41, 'trace_an': 9622711880844}
  • id: 47033418
    {'hecke_orbit_code': 27021598066212914, 'n': 42, 'trace_an': -104896485984256}
  • id: 47033419
    {'hecke_orbit_code': 27021598066212914, 'n': 43, 'trace_an': -7708436011852}
  • id: 47033420
    {'hecke_orbit_code': 27021598066212914, 'n': 44, 'trace_an': 77949088825344}
  • id: 47033421
    {'hecke_orbit_code': 27021598066212914, 'n': 45, 'trace_an': 0}
  • id: 47033422
    {'hecke_orbit_code': 27021598066212914, 'n': 46, 'trace_an': 166203947701248}
  • id: 47033423
    {'hecke_orbit_code': 27021598066212914, 'n': 47, 'trace_an': 466072575837996}
  • id: 47033424
    {'hecke_orbit_code': 27021598066212914, 'n': 48, 'trace_an': 27092653703168}
  • id: 47033425
    {'hecke_orbit_code': 27021598066212914, 'n': 49, 'trace_an': -115828146887046}
  • id: 47033426
    {'hecke_orbit_code': 27021598066212914, 'n': 50, 'trace_an': 0}
  • id: 47033427
    {'hecke_orbit_code': 27021598066212914, 'n': 51, 'trace_an': -838218717084456}
  • id: 47033428
    {'hecke_orbit_code': 27021598066212914, 'n': 52, 'trace_an': 132246354526208}
  • id: 47033429
    {'hecke_orbit_code': 27021598066212914, 'n': 53, 'trace_an': 623333120284428}
  • id: 47033430
    {'hecke_orbit_code': 27021598066212914, 'n': 54, 'trace_an': 717054828984320}
  • id: 47033431
    {'hecke_orbit_code': 27021598066212914, 'n': 55, 'trace_an': 0}
  • id: 47033432
    {'hecke_orbit_code': 27021598066212914, 'n': 56, 'trace_an': -109787484258304}
  • id: 47033433
    {'hecke_orbit_code': 27021598066212914, 'n': 57, 'trace_an': 950883425062000}
  • id: 47033434
    {'hecke_orbit_code': 27021598066212914, 'n': 58, 'trace_an': -1202315115525120}
  • id: 47033435
    {'hecke_orbit_code': 27021598066212914, 'n': 59, 'trace_an': 654616071995160}
  • id: 47033436
    {'hecke_orbit_code': 27021598066212914, 'n': 60, 'trace_an': 0}
  • id: 47033437
    {'hecke_orbit_code': 27021598066212914, 'n': 61, 'trace_an': 1329040385162884}
  • id: 47033438
    {'hecke_orbit_code': 27021598066212914, 'n': 62, 'trace_an': 1822942048958464}
  • id: 47033439
    {'hecke_orbit_code': 27021598066212914, 'n': 63, 'trace_an': -3184801966786532}
  • id: 47033440
    {'hecke_orbit_code': 27021598066212914, 'n': 64, 'trace_an': 562949953421312}
  • id: 47033441
    {'hecke_orbit_code': 27021598066212914, 'n': 65, 'trace_an': 0}
  • id: 47033442
    {'hecke_orbit_code': 27021598066212914, 'n': 66, 'trace_an': 2465538888400896}
  • id: 47033443
    {'hecke_orbit_code': 27021598066212914, 'n': 67, 'trace_an': 4249016411877596}
  • id: 47033444
    {'hecke_orbit_code': 27021598066212914, 'n': 68, 'trace_an': 1229169586077696}
  • id: 47033445
    {'hecke_orbit_code': 27021598066212914, 'n': 69, 'trace_an': 12411535659353832}
  • id: 47033446
    {'hecke_orbit_code': 27021598066212914, 'n': 70, 'trace_an': 0}
  • id: 47033447
    {'hecke_orbit_code': 27021598066212914, 'n': 71, 'trace_an': 2035131949347624}
  • id: 47033448
    {'hecke_orbit_code': 27021598066212914, 'n': 72, 'trace_an': 3744605925277696}
  • id: 47033449
    {'hecke_orbit_code': 27021598066212914, 'n': 73, 'trace_an': -2248593461347972}
  • id: 47033450
    {'hecke_orbit_code': 27021598066212914, 'n': 74, 'trace_an': -2542877347185664}
  • id: 47033451
    {'hecke_orbit_code': 27021598066212914, 'n': 75, 'trace_an': 0}
  • id: 47033452
    {'hecke_orbit_code': 27021598066212914, 'n': 76, 'trace_an': -8959087778201600}
  • id: 47033453
    {'hecke_orbit_code': 27021598066212914, 'n': 77, 'trace_an': -8848168987836288}
  • id: 47033454
    {'hecke_orbit_code': 27021598066212914, 'n': 78, 'trace_an': 16136631097014272}
  • id: 47033455
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    {'hecke_orbit_code': 27021598066212914, 'n': 919, 'trace_an': -25703276292761490526497440}
  • id: 47033623
    {'hecke_orbit_code': 27021598066212914, 'n': 929, 'trace_an': 33421340560608152447746860}
  • id: 47033624
    {'hecke_orbit_code': 27021598066212914, 'n': 937, 'trace_an': 20363875588167268427194796}
  • id: 47033625
    {'hecke_orbit_code': 27021598066212914, 'n': 941, 'trace_an': -5924744053772626602833316}
  • id: 47033626
    {'hecke_orbit_code': 27021598066212914, 'n': 947, 'trace_an': 5689140433940796290388156}
  • id: 47033627
    {'hecke_orbit_code': 27021598066212914, 'n': 953, 'trace_an': -24769925098921201391288052}
  • id: 47033628
    {'hecke_orbit_code': 27021598066212914, 'n': 961, 'trace_an': 34298003729632855914379746}
  • id: 47033629
    {'hecke_orbit_code': 27021598066212914, 'n': 967, 'trace_an': 16065594066306490144892876}
  • id: 47033630
    {'hecke_orbit_code': 27021598066212914, 'n': 971, 'trace_an': 5900956609769198033274384}
  • id: 47033631
    {'hecke_orbit_code': 27021598066212914, 'n': 977, 'trace_an': -15187371030883302274313124}
  • id: 47033632
    {'hecke_orbit_code': 27021598066212914, 'n': 983, 'trace_an': 67062821239759874383986948}
  • id: 47033633
    {'hecke_orbit_code': 27021598066212914, 'n': 991, 'trace_an': 2610578586791287258865464}
  • id: 47033634
    {'hecke_orbit_code': 27021598066212914, 'n': 997, 'trace_an': 53211479553289013552383436}