Embedded newform data - 81.10.c.g.28.2

Formats: - HTML - YAML - JSON - 2025-07-13T20:48:10.997693

• 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': 8100, 'analytic_conductor': 41.717902729273725, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'cm_discs': [], 'conrey_index': 28, 'dim': 6, 'field_disc': -846963398763, 'field_disc_factorization': [[-1, 1], [3, 3], [177113, 2]], 'field_poly': [18496, -16048, 14060, -154, 119, -1, 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': [[2, [13483584, 3899664, 1138860, 4158, 1071, 3, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021735370948689, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 26244, 'hecke_ring_index_factorization': [[2, 2], [3, 8]], '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': '81.10.c.g', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.10.a.b', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1-\\beta _{2}-\\beta _{3})q^{2}+(2\\beta _{1}+199\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '9.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '81.10.c', 'trace_display': [-3, 0, 1983, 3693], 'trace_hash': 890939700890628642, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '147.893', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6586.059', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [6, -3, 0, -597, 1983, 0, 3693, -9006, 0, -37962, 16863, 0, -116916, 503463, 0, 239919, -2028096, 0, -30444, 2548407, 0, -305721, 2927118, 0, -2133732, -9530232, 0, -7071450, 5768790, 0, 6575223, -2687697, 0, -17098128, 34681074, 0, -23372052, -50473374, 0, 4130811, -22213518, 0, -45384414, 114413982, 0, -191277180, 12392034, 0, -18933462, -82984044, 0, -182736492, -161159274, 0, -349470666, 21850521, 0, 102758922, 244026660, 0, -369729960, -332594682, 0, -841384254, 492225684, 0, 252614586, 162270144, 0, -935092377, -806386176, 0, -813253434, -641373558, 0, 39499590, 360443199, 0, -265451856, 2336719674, 0, -1768816332, 121625871, 0, -316251216, -2368956570, 0, -219257739, -755808012, 0, 490118280, -1178754558, 0, -86583438, 536878770, 0, 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496137778008, -52002747906, 0, 2768936818794, -1809366897378, 0, -844780832016, 774465404856, 0, 5481472246146, 2905757359365, 0, -862494653664, 11648363906256, 0, 6697065135594, -1283070660048, 0, -4746885996534, -2545656337623, 0, -5408440600896, -8017861433076, 0, -11931590547702, 1525475354778, 0, 495008950107, -4483298502123, 0, 1417678932093, 2211954580578, 0, 5184281378232, -2734764194172, 0, 2623905850806, 1354413444126, 0, -880435276812, 3644938672920, 0, -7625324736672, -5606246680683, 0, -1831592992554, -271974573648, 0, -5034274259943, 10426478081058, 0, -13144542228372, -457225569768, 0, -3181441002615, 139101594882, 0, 159088466178, 8808568653924, 0, -458344854600, -1533808233969, 0, 5791794744096, -1717711847346, 0, -279336346584, -10830878157468, 0, 4995033624072, 2450351400276, 0, -4579778183520, -2286165185016, 0, -7891967638284, 5435367318882, 0, -16396007343024, 3310573067421, 0, 4656796176312, 3002093996817, 0, -5043853907514, -18280902954588, 0, 1620455191488, 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-46733815490832, 27066227464833, 0, -140084496002364, 184668541221828, 0, 8251786393398], 'weight': 10, 'weight_parity': 1}
• 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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-0.14216702354181135], [0.0, 0.0], [-0.7594286797380819, -1.315369058031311], [0.27950511543164724, 0.0], [0.0, 0.0], [0.30107256994684717, 0.0]], 'angles': [-0.09552362160706954, None, 0.1670921575497375, -0.10425824898155749, 0.030346830541214467, -0.3258850394196485, -0.3440680938205072, -0.24895748787811858, -0.20228118437150872, -0.09544391569506072, -0.47223886506661306, -0.3209270021841634, -0.49839120471874754, -0.41451385873685664, -0.14889062229150715, -0.33817454761103777, -0.28776278429083735, -0.4705356518948851, -0.45224592894908217, -0.3599694561420136, -0.3417584820729731, -0.4392430505406449, -0.11557606267669102, -0.1701688960079965, -0.028738586135777542, 0.05820254585334059, -0.458436049310761, -0.27768878747053155, -0.12362421042248174, -0.3577772714634082, -0.13727218360760135, -0.37021548604383187, -0.45526169780667225, -0.3080533284751937, 0.23309135595573824, -0.04280548773698108, -0.430122768759389, -0.2109103488371743, -0.42883397123999284, 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-0.3043632794850805, -0.36731018104410895, -0.17047268560621118, -0.47883387472348027, -0.3615554407268515, -0.13112882276296417, -0.3197528216046865, -0.33335601886685656, -0.18700632074589085, -0.1915131866352122, 0.0026668640095099507, 0.20873201648563086, -0.32877649504532136, -0.2981264184391986, -0.01606197911965154, -0.08685502198513147, -0.14299862522850262, -0.4946860977845343, -0.328368398862139, -0.2851783081513169, -0.2110117392576813, -0.19269921524727182, -0.39939593165931997, -0.04871059687896028, -0.45745847869501494, -0.2892771811155539, -0.15591072807806258, -0.11184862015057169, -0.49229671647061085, -0.007460012445589021, -0.19766907461002162, -0.492462761968278, -0.10472367963808125, -0.4038731815495784, -0.4311231631532404, -0.3017568480047991, -0.4460726182978162], 'char_orbit_index': 3, 'conrey_index': 28, 'dual_conrey_index': 55, 'dual_embedding_index': 2, 'dual_embedding_m': 5, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.999639651476394, 'embedding_root_real': 0.5771422218725197, 'hecke_orbit': 7, 'hecke_orbit_code': 27021735370948689, 'label': '81.10.c.g.28.2', 'level': 81, 'weight': 10}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  ALdims_eis_new	integer[]
  ALdims_eis_old	integer[]
  ALdims_old	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': 8100, 'analytic_conductor': 41.717902729273725, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'conrey_index': 28, 'cusp_dim': 150, 'dim': 70, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137606725713, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 8, 20], 'label': '81.10.c', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 174, 'mf_new_dim': 74, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 35, 'sturm_bound': 90, 'trace_bound': 2, 'trace_display': [0, 0, 0, 1712], 'traces': [70, 0, 0, -8702, 0, 0, 1712, 0, 0, -2052, 0, 0, -162178, 0, 0, -2096126, 0, 0, -329044, 0, 0, -1055646, 0, 0, -10647917, 0, 0, -4552708, 0, 0, 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78438928919942, 0, 0, -116978843625786, 0, 0, -73415912336284, 0, 0, 76712134484808, 0, 0, 5610994288366, 0, 0, -660938184609736, 0, 0, 90806567626854, 0, 0, -40385116451304, 0, 0, 215285590188288, 0, 0, -14585673725244, 0, 0, 77321915200658, 0, 0, 345579723152712, 0, 0, -10552239308214, 0, 0, -203590977555364, 0, 0, -99831862444324, 0, 0, 8243514295614, 0, 0, 64387059956732, 0, 0, -390219717088584, 0, 0, 28902092789652, 0, 0, 138673161313686, 0, 0, 26612843322200, 0, 0, -311922986843124, 0, 0, -181362020603616, 0, 0, -190114869434904, 0, 0, -32430867884708, 0, 0, 649807742818980, 0, 0, 423977609761632, 0, 0, 203627026945656, 0, 0, -85843434735033, 0, 0, 353511040658792, 0, 0, 15025341318716, 0, 0, -20443724159706, 0, 0, -658186868882420, 0, 0, 303452197870808, 0, 0, 150310045591524, 0, 0, 335192164099236, 0, 0, 223137376687764, 0, 0, 40212376106584, 0, 0, 546163333041056, 0, 0, -468486162136584, 0, 0, -210859123105312, 0, 0, -553171526593884], 'weight': 10, '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: 45745105
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735370948689, 'source_is_minimal': False, 'source_label': '81.10.c.g.28.2', 'source_level': 81, 'target_conrey_index': 28, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735370948689, 'target_is_minimal': False, 'target_label': '81.10.c.g.28.2', 'target_level': 81, 'twist_class_label': '27.10.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 10}
  • id: 45745106
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735370948689, 'source_is_minimal': False, 'source_label': '81.10.c.g.28.2', 'source_level': 81, 'target_conrey_index': 28, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525334998319185, 'target_is_minimal': False, 'target_label': '81.10.c.h.28.2', 'target_level': 81, 'twist_class_label': '27.10.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 10}
  • id: 45745107
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735370948689, 'source_is_minimal': False, 'source_label': '81.10.c.g.28.2', 'source_level': 81, 'target_conrey_index': 55, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525334998319185, 'target_is_minimal': False, 'target_label': '81.10.c.h.55.2', 'target_level': 81, 'twist_class_label': '27.10.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 10}
  • id: 45745108
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735370948689, 'source_is_minimal': False, 'source_label': '81.10.c.g.28.2', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199422513179, 'target_is_minimal': True, 'target_label': '27.10.a.c.1.2', 'target_level': 27, 'twist_class_label': '27.10.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 10}
  • id: 45745109
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735370948689, 'source_is_minimal': False, 'source_label': '81.10.c.g.28.2', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599795142683, 'target_is_minimal': True, 'target_label': '27.10.a.b.1.2', 'target_level': 27, 'twist_class_label': '27.10.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 10}
  • id: 45745110
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021735370948689, 'source_is_minimal': False, 'source_label': '81.10.c.g.28.2', 'source_level': 81, 'target_conrey_index': 55, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735370948689, 'target_is_minimal': False, 'target_label': '81.10.c.g.55.2', 'target_level': 81, 'twist_class_label': '27.10.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 10}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 255950
    {'charpoly_factorization': [[[13483584, 3899664, 1138860, 4158, 1071, 3, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 2}
  • id: 255951
    {'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 27021735370948689, 'p': 3}
  • id: 255952
    {'charpoly_factorization': [[[14637495315109100625, -7768137681521775, 11709316391706, -3625494903, 5962698, -1983, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 5}
  • id: 255953
    {'charpoly_factorization': [[[8165303672094382515625, 5708896386717937875, 3657754708003914, 414040556531, 76816266, -3693, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 7}
  • id: 255954
    {'charpoly_factorization': [[[926986034156119495988877225, 75992650499982892276305, 5716322620842619494, 102982009825701, 2780305686, -16863, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 11}
  • id: 255955
    {'charpoly_factorization': [[[913847567153419557199994982400, 16034963951743072722170880, 393126197986184280576, -49216514087104, 30443137440, 116916, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 13}
  • id: 255956
    {'charpoly_factorization': [[[7875363087120384, 262405282752, 1014048, 1], 2]], 'hecke_orbit_code': 27021735370948689, 'p': 17}
  • id: 255957
    {'charpoly_factorization': [[[4462994708562664, -599886952548, 15222, 1], 2]], 'hecke_orbit_code': 27021735370948689, 'p': 19}
  • id: 255958
    {'charpoly_factorization': [[[20880213071121876964602615131953272384, -4271813552745441970278305457888, 14249384339163829174684512, -6402539860350843672, 9502876015128, -2927118, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 23}
  • id: 255959
    {'charpoly_factorization': [[[18429882848773992757280604642705230400, 16044466102299482425443062681760, 38733236847932127683418144, -30146005697329324440, 29541586242888, -5768790, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 29}
  • id: 255960
    {'charpoly_factorization': [[[3905331334021413474340000824442740044161, -1109247634596160832253312701811783, 725967368128932836164387962, -8274766814408556223, 60983606990922, -6575223, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 31}
  • id: 255961
    {'charpoly_factorization': [[[-1047077879527633361480, -88280093334516, 11686026, 1], 2]], 'hecke_orbit_code': 27021735370948689, 'p': 37}
  • id: 255962
    {'charpoly_factorization': [[[13354363946757610965911298623996047191950400, 462997121545567199719881175333851360, 97228399206116207676829407264, 4494336240815407328184, 620137485653256, 22213518, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 41}
  • id: 255963
    {'charpoly_factorization': [[[2087876620599634839479749781234242561662145600, 42174654850933064063984034591539382240, 2925682005417102865011859352736, 49497011832114041885624, 2982739551878760, 45384414, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 43}
  • id: 255964
    {'charpoly_factorization': [[[105633002060578417142657684986267735178625600, -6842775046027795602609464500624872480, 570629236731113083979321661024, -12305182561445070336168, 819345123312984, -12392034, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 47}
  • id: 255965
    {'charpoly_factorization': [[[-132145602899448674029797, -969165886601457, 80579637, 1], 2]], 'hecke_orbit_code': 27021735370948689, 'p': 53}
  • id: 255966
    {'charpoly_factorization': [[[279939006986650999244982003825122536565011353600, 5713562368988281399472411179260114017280, 245726662022229513721593422329344, -3693378926875080769876800, 48750216615201888, -244026660, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 59}
  • id: 255967
    {'charpoly_factorization': [[[1335833652581079275329399697005786402094013743104, 46741130737015634784004584751924579565568, 1208155562697063224199157195186176, 12640723101663444691249664, 96259137320275584, 369729960, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 61}
  • id: 255968
    {'charpoly_factorization': [[[3661626883654230094261575188722736195745025000000, 4480411857962785632014396379034881660000, 488869844529925116803754181989024, -4418554567710739180043752, 61472700594141864, -252614586, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 67}
  • id: 255969
    {'charpoly_factorization': [[[-983330358019649001584640, 31952365891662528, 403193088, 1], 2]], 'hecke_orbit_code': 27021735370948689, 'p': 71}
  • id: 255970
    {'charpoly_factorization': [[[-649410779968170038515745, 35133728293146243, 406626717, 1], 2]], 'hecke_orbit_code': 27021735370948689, 'p': 73}
  • id: 255971
    {'charpoly_factorization': [[[69596332995045960903002117269865418619977664036864, 1396458642135305428988356078668199976828928, 30234624226066750189632758987771904, -27749654308228911831854080, 237856765329298752, 265451856, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 79}
  • id: 255972
    {'charpoly_factorization': [[[4582609485882988138585815778186545925480047795849, -83764243854351565771031667846552785037471, 1791468180410857048849640735301606, 477730973774378033665749, 53922167711252694, -121625871, 1], 1]], 'hecke_orbit_code': 27021735370948689, 'p': 83}
  • id: 255973
    {'charpoly_factorization': [[[100155402365630652917073000, -715058944722112068, 377904006, 1], 2]], 'hecke_orbit_code': 27021735370948689, 'p': 89}
  • id: 255974
    {'charpoly_factorization': [[[676986722954418939411188794710860400707497058709025, -3406902053904673568858979109171870993862355, 28564986789530953258915805770062726, 5432250324005522085601289, 323578994384437062, -438907539, 1], 1]], 'hecke_orbit_code': 27021735370948689, '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': 3, 'hecke_orbit': 7, 'label': '81.10.c.g', 'level': 81, 'portrait': 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', 'weight': 10}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 47206753
    {'hecke_orbit_code': 27021735370948689, 'n': 1, 'trace_an': 6}
  • id: 47206754
    {'hecke_orbit_code': 27021735370948689, 'n': 2, 'trace_an': -3}
  • id: 47206755
    {'hecke_orbit_code': 27021735370948689, 'n': 3, 'trace_an': 0}
  • id: 47206756
    {'hecke_orbit_code': 27021735370948689, 'n': 4, 'trace_an': -597}
  • id: 47206757
    {'hecke_orbit_code': 27021735370948689, 'n': 5, 'trace_an': 1983}
  • id: 47206758
    {'hecke_orbit_code': 27021735370948689, 'n': 6, 'trace_an': 0}
  • id: 47206759
    {'hecke_orbit_code': 27021735370948689, 'n': 7, 'trace_an': 3693}
  • id: 47206760
    {'hecke_orbit_code': 27021735370948689, 'n': 8, 'trace_an': -9006}
  • id: 47206761
    {'hecke_orbit_code': 27021735370948689, 'n': 9, 'trace_an': 0}
  • id: 47206762
    {'hecke_orbit_code': 27021735370948689, 'n': 10, 'trace_an': -37962}
  • id: 47206763
    {'hecke_orbit_code': 27021735370948689, 'n': 11, 'trace_an': 16863}
  • id: 47206764
    {'hecke_orbit_code': 27021735370948689, 'n': 12, 'trace_an': 0}
  • id: 47206765
    {'hecke_orbit_code': 27021735370948689, 'n': 13, 'trace_an': -116916}
  • id: 47206766
    {'hecke_orbit_code': 27021735370948689, 'n': 14, 'trace_an': 503463}
  • id: 47206767
    {'hecke_orbit_code': 27021735370948689, 'n': 15, 'trace_an': 0}
  • id: 47206768
    {'hecke_orbit_code': 27021735370948689, 'n': 16, 'trace_an': 239919}
  • id: 47206769
    {'hecke_orbit_code': 27021735370948689, 'n': 17, 'trace_an': -2028096}
  • id: 47206770
    {'hecke_orbit_code': 27021735370948689, 'n': 18, 'trace_an': 0}
  • id: 47206771
    {'hecke_orbit_code': 27021735370948689, 'n': 19, 'trace_an': -30444}
  • id: 47206772
    {'hecke_orbit_code': 27021735370948689, 'n': 20, 'trace_an': 2548407}
  • id: 47206773
    {'hecke_orbit_code': 27021735370948689, 'n': 21, 'trace_an': 0}
  • id: 47206774
    {'hecke_orbit_code': 27021735370948689, 'n': 22, 'trace_an': -305721}
  • id: 47206775
    {'hecke_orbit_code': 27021735370948689, 'n': 23, 'trace_an': 2927118}
  • id: 47206776
    {'hecke_orbit_code': 27021735370948689, 'n': 24, 'trace_an': 0}
  • id: 47206777
    {'hecke_orbit_code': 27021735370948689, 'n': 25, 'trace_an': -2133732}
  • id: 47206778
    {'hecke_orbit_code': 27021735370948689, 'n': 26, 'trace_an': -9530232}
  • id: 47206779
    {'hecke_orbit_code': 27021735370948689, 'n': 27, 'trace_an': 0}
  • id: 47206780
    {'hecke_orbit_code': 27021735370948689, 'n': 28, 'trace_an': -7071450}
  • id: 47206781
    {'hecke_orbit_code': 27021735370948689, 'n': 29, 'trace_an': 5768790}
  • id: 47206782
    {'hecke_orbit_code': 27021735370948689, 'n': 30, 'trace_an': 0}
  • id: 47206783
    {'hecke_orbit_code': 27021735370948689, 'n': 31, 'trace_an': 6575223}
  • id: 47206784
    {'hecke_orbit_code': 27021735370948689, 'n': 32, 'trace_an': -2687697}
  • id: 47206785
    {'hecke_orbit_code': 27021735370948689, 'n': 33, 'trace_an': 0}
  • id: 47206786
    {'hecke_orbit_code': 27021735370948689, 'n': 34, 'trace_an': -17098128}
  • id: 47206787
    {'hecke_orbit_code': 27021735370948689, 'n': 35, 'trace_an': 34681074}
  • id: 47206788
    {'hecke_orbit_code': 27021735370948689, 'n': 36, 'trace_an': 0}
  • id: 47206789
    {'hecke_orbit_code': 27021735370948689, 'n': 37, 'trace_an': -23372052}
  • id: 47206790
    {'hecke_orbit_code': 27021735370948689, 'n': 38, 'trace_an': -50473374}
  • id: 47206791
    {'hecke_orbit_code': 27021735370948689, 'n': 39, 'trace_an': 0}
  • id: 47206792
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  • id: 47206987
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  • id: 47206996
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  • id: 47207002
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  • id: 47207003
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  • id: 47207004
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  • id: 47207005
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  • id: 47207009
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  • id: 47207010
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