Embedded newform data - 7569.2.a.u.1.4

Formats: - HTML - YAML - JSON - 2025-07-06T09:51:13.031981

• 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': 30276, 'analytic_conductor': 60.43876928990712, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [29, 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': [7569, 1, [5888, 1684], [1, 1]], 'cm_discs': [-3], 'conrey_index': 1, 'dim': 4, 'field_disc': 1125, 'field_disc_factorization': [[3, 2], [5, 3]], 'field_poly': [1, 4, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 15, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [0, 1]], [5, [0, 1]], [7, [211, 34, -34, -1, 1]], [19, [1711, -94, -94, 1, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580971921, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '7569.2.a.u', 'level': 7569, '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': [3, 29], 'level_radical': 87, 'minimal_twist': '7569.2.a.u', 'nf_label': '4.4.1125.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{4}+(-1+3\\beta _{1}-\\beta _{3})q^{7}+(4\\beta _{2}+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d1', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '7569.2.a', 'trace_display': [0, 0, 0, 1], 'trace_hash': 1280111143103746889, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.450', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.563', 'prec': 17}, {'__RealLiteral__': 0, 'data': '118.361', 'prec': 24}, {'__RealLiteral__': 0, 'data': '51.317', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5854.506', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 17}, 'traces': [4, 0, 0, -8, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 16, 0, 0, -1, 0, 0, 0, 0, 0, -20, 0, 0, -2, 0, 0, -4, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 41, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -13, 0, 0, -32, 0, 0, -11, 0, 0, 0, 0, 0, -10, 0, 0, 2, 0, 0, -13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 14, 0, 0, 40, 0, 0, -20, 0, 0, 0, 0, 0, -17, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 8, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 19, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, 0, 74, 0, 0, -10, 0, 0, -5, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 0, 0, -82, 0, 0, 28, 0, 0, 0, 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0, 0, 0, 0, 103, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -103, 0, 0, 0, 0, 0, -101, 0, 0, 0, 0, 0, -97, 0, 0, 0, 0, 0, -103, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, -345, 0, 0, 296, 0, 0, 104, 0, 0, 0, 0, 0, -38, 0, 0, 318, 0, 0, -112, 0, 0, 0, 0, 0, 85, 0, 0, 0, 0, 0, 61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, -83, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -98, 0, 0, 101, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 195, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -89, 0, 0, -20, 0, 0, -88, 0, 0, 0, 0, 0, -212, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, -137, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 73, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 309, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 0, 0, 150, 0, 0, 380, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, -46, 0, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, -57, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, -107, 0, 0, -106, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, -471, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, '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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-0.25, -0.25, -0.011439265849123689, -0.1315011361328513, -0.25, -0.25, -0.01916140126670239, -0.1330174956850089, -0.25, -0.3629609851320509, -0.15312400445085717, -0.25, -0.25, -0.25, -0.25, -0.25, -0.4150546490002053, -0.25, -0.25, -0.25, -0.1343266303749509, -0.3478350277431005, -0.25, -0.2278222481082296, -0.24165088374876353, -0.25, -0.2373524629024408, -0.25, -0.25, -0.397270916542561, -0.14151417364202862, -0.25, -0.25, -0.47719456632861346, -0.25, -0.10888574046109306, -0.25, -0.25, -0.29547111921362584, -0.25, -0.09197773937864073, -0.25, -0.18664963161069142, -0.23491066947379827, -0.3429026550599357, -0.25, -0.418648660060312, -0.25, -0.25, -0.09470071983442127, -0.25, -0.39057243192102453, -0.2932618349861622, -0.25, -0.4508155676130467, -0.25, -0.2953544064540452, -0.25, -0.05485232662639726, -0.25, -0.25, -0.051506318123830275, -0.49085953378365527, -0.25, -0.3061375128696383, -0.25, -0.33051521448865784, -0.25, -0.25, -0.16979066866485693, -0.3793124396951722, -0.25, -0.25, -0.0774078050729283, -0.25, -0.25, -0.25, -0.29748299184894533, -0.25, -0.25, -0.42804540014108267, -0.25, -0.25, -0.25, -0.43586215213241947, -0.25], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.3382612127177165, 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580971921, 'label': '7569.2.a.u.1.4', 'level': 7569, 'weight': 2}
• 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

  
  {'ALdims': [61, 75, 98, 91], 'ALdims_eis_new': [0, 0, 13, 14], 'ALdims_eis_old': [29, 30, 17, 16], 'ALdims_old': [135, 134, 112, 105], 'Nk2': 30276, 'analytic_conductor': 60.43876928990712, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7569, 1, [5888, 1684], [1, 1]], 'conrey_index': 1, 'cusp_dim': 811, 'dim': 325, 'eis_dim': 119, 'eis_new_dim': 27, 'hecke_cutter_primes': [2, 5, 7, 19], 'hecke_orbit_code': 33562001, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 16, 16, 36], 'label': '7569.2.a', 'level': 7569, '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': [3, 29], 'level_radical': 87, 'mf_dim': 930, 'mf_new_dim': 352, 'num_forms': 49, 'plus_dim': 152, 'prim_orbit_index': 1, 'relative_dim': 325, 'sturm_bound': 1740, 'trace_bound': 19, 'trace_display': [1, 0, 0, 0], 'traces': [325, 1, 0, 317, 0, 0, 0, -3, 0, 4, -2, 0, 4, -4, 0, 301, 6, 0, 0, -24, 0, 0, 0, 0, 273, 8, 0, -10, 0, 0, -6, 5, 0, -28, -4, 0, 10, 2, 0, 16, 10, 0, 2, -14, 0, 12, -14, 0, 257, 53, 0, 22, 24, 0, -14, 32, 0, 0, 14, 0, 14, 12, 0, 239, -4, 0, -18, 38, 0, 8, -36, 0, -10, -8, 0, -24, -8, 0, 2, -22, 0, 28, -14, 0, 24, 36, 0, -50, -6, 0, 20, 50, 0, 22, -44, 0, -34, -11, 0, 191, -26, 0, -8, -24, 0, -16, -18, 0, 32, -10, 0, -6, 62, 0, -40, 0, 0, -40, 0, 0, 171, 50, 0, 10, -12, 0, -36, 25, 0, 14, 0, 0, 8, -16, 0, -12, 82, 0, 14, -34, 0, -4, 14, 0, 0, 58, 0, -2, -36, 0, -40, -44, 0, -2, 50, 0, -46, -30, 0, 60, -56, 0, 14, -26, 0, -32, -8, 0, 141, 58, 0, 2, 24, 0, -48, -2, 0, -100, 58, 0, 60, -92, 0, 20, 36, 0, 4, -74, 0, -14, 20, 0, -18, -100, 0, 149, -40, 0, -24, 85, 0, 0, 0, 0, 60, 52, 0, 8, 4, 0, 54, 74, 0, -4, 38, 0, 80, -32, 0, -6, -32, 0, 60, 52, 0, -10, -20, 0, -54, 68, 0, 0, 62, 0, -38, -16, 0, -20, -12, 0, 6, 75, 0, -46, -42, 0, 12, 58, 0, 78, 14, 0, -84, -20, 0, 145, 26, 0, -24, 92, 0, 6, 30, 0, 108, 144, 0, -54, -38, 0, 6, 14, 0, 6, -100, 0, 132, -60, 0, 80, 16, 0, -26, -76, 0, 68, 88, 0, 103, 0, 0, 2, -78, 0, -120, 276, 0, 4, 48, 0, 24, 96, 0, -72, -24, 0, -22, -36, 0, 24, 36, 0, 54, 14, 0, 26, -30, 0, 0, 92, 0, 40, -40, 0, 72, -106, 0, -12, 8, 0, 6, 8, 0, -108, -78, 0, 2, -55, 0, 96, -86, 0, 6, -34, 0, -78, 36, 0, -36, 60, 0, 28, 56, 0, -40, -54, 0, -136, 70, 0, 141, -60, 0, -170, -12, 0, -28, -106, 0, -4, -98, 0, 8, 24, 0, -88, 0, 0, -32, -28, 0, 44, -10, 0, -16, 92, 0, 2, 86, 0, 64, -51, 0, -22, 34, 0, -66, 44, 0, 9, 18, 0, -90, 30, 0, 0, 22, 0, -6, -38, 0, -152, -10, 0, -40, 48, 0, 36, -6, 0, 62, 14, 0, -44, 38, 0, -88, 22, 0, -68, 46, 0, -42, 108, 0, -28, 0, 0, -80, 456, 0, 114, -24, 0, 36, -32, 0, 16, -66, 0, -78, -74, 0, 32, 208, 0, 38, -32, 0, -170, 74, 0, 48, 0, 0, 176, -66, 0, 12, 120, 0, 56, -42, 0, 4, 68, 0, 68, -14, 0, -36, 32, 0, 197, 76, 0, -24, 20, 0, 4, -78, 0, 0, 82, 0, -146, 24, 0, -26, -126, 0, 66, 58, 0, -28, -4, 0, 20, -88, 0, 72, -63, 0, -144, -20, 0, 4, -86, 0, -70, -38, 0, 16, 68, 0, -8, -16, 0, -51, -138, 0, 104, 44, 0, 36, -36, 0, 184, 86, 0, 26, -134, 0, -36, -32, 0, 62, 78, 0, 168, 0, 0, -80, 130, 0, -152, 0, 0, 90, -52, 0, 0, -94, 0, -136, 16, 0, 116, 6, 0, -50, 26, 0, 40, -18, 0, -14, 103, 0, 0, 58, 0, 166, 52, 0, 56, -22, 0, 8, 68, 0, 38, -24, 0, -104, 160, 0, -20, 94, 0, 6, 464, 0, 28, 206, 0, 94, 42, 0, -84, -58, 0, 22, 126, 0, 78, -6, 0, -162, -14, 0, 10, -16, 0, -51, -68, 0, -74, 66, 0, 354, -50, 0, -74, 164, 0, 150, 0, 0, -232, -10, 0, 352, -10, 0, -48, 66, 0, -116, -54, 0, 22, -34, 0, -44, 30, 0, -236, -10, 0, 274, -66, 0, 32, -56, 0, 0, 120, 0, -8, -16, 0, 164, -2, 0, -69, -38, 0, -56, 218, 0, 210, -38, 0, 12, -92, 0, 22, -176, 0, -66, 58, 0, 48, -36, 0, -72, 32, 0, -222, 4, 0, 402, -10, 0, -26, 8, 0, 0, 132, 0, -374, 28, 0, 46, -6, 0, -142, 24, 0, 176, -155, 0, -28, 0, 0, 108, -32, 0, 64, -110, 0, -22, -60, 0, 84, 64, 0, 130, 4, 0, -40, -60, 0, 128, 24, 0, -42, 108, 0, -36, 66, 0, 0, -106, 0, -90, -18, 0, -114, -8, 0, 386, -28, 0, -48, -28, 0, 10, 108, 0, -70, 54, 0, -40, 74, 0, -14, -36, 0, 28, 458, 0, 7, -92, 0, 360, -22, 0, -214, 8, 0, 128, -112, 0, -40, 42, 0, 284, -71, 0, -72, 86, 0, 20, 84, 0, 122, 2, 0, -2, 0, 0, -8, -70, 0, -124, 76, 0, -28, 36, 0, 20, 4, 0, -168, 146, 0, 54, -28, 0, -16, 30, 0, 196, -86, 0, -24, -38, 0, 0, -414, 0, 142, -368, 0, 274, 116, 0, -568, 8, 0, 54, 0, 0, -268, -464, 0, -114, 14, 0, 220, -28, 0, -20, -492, 0, 24, -88, 0, 206, -32, 0, 78, -170, 0, -430, 104, 0, -162, 22, 0, -38, -4, 0, -120, 166, 0, -32, -554, 0, 44, 46, 0, -152, -204, 0, -178, 0, 0, -112, 112, 0, 18, -366, 0, -168, -110, 0, -8, -14, 0, 12, -2, 0, 70, -72, 0, -172, -44, 0, -474, 506, 0, -34, 136, 0, 0, -26, 0, 24, 62, 0, -170, 132, 0, 204, -60, 0, -30, -462, 0, 192, 166, 0, -42, -34, 0, 36, 160, 0, -40, 64, 0, -52, -2, 0, -114, -16, 0, -355, -478, 0, 124, 60, 0, 70, -65, 0, -306, 16, 0, 58, 0, 0, 98, 108, 0, -76, 706, 0, -10, 122, 0, -314, 0, 0, 252, -12, 0, 226, 222, 0, 120, -16, 0, 10, -100, 0, 290], 'weight': 2, '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: 48335572
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580971921, 'source_is_minimal': True, 'source_label': '7569.2.a.u.1.4', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 90071992580971921, 'target_is_minimal': True, 'target_label': '7569.2.a.u.1.4', 'target_level': 7569, 'twist_class_label': '7569.2.a.u.1.4', 'twist_class_level': 7569, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
  • id: 48335573
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580971921, 'source_is_minimal': True, 'source_label': '7569.2.a.u.1.4', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 90071992580971921, 'target_is_minimal': True, 'target_label': '7569.2.a.u.1.4', 'target_level': 7569, 'twist_class_label': '7569.2.a.u.1.4', 'twist_class_level': 7569, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 48335574
    {'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580971921, 'source_is_minimal': True, 'source_label': '7569.2.a.u.1.4', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94575592208342417, 'target_is_minimal': True, 'target_label': '7569.2.a.v.1.4', 'target_level': 7569, 'twist_class_label': '7569.2.a.u.1.4', 'twist_class_level': 7569, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
  • id: 48335575
    {'conductor': 87, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 90071992580971921, 'source_is_minimal': True, 'source_label': '7569.2.a.u.1.4', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94575592208342417, 'target_is_minimal': True, 'target_label': '7569.2.a.v.1.4', 'target_level': 7569, 'twist_class_label': '7569.2.a.u.1.4', 'twist_class_level': 7569, 'twisting_char_label': '87.86', 'twisting_conrey_index': 86, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 4511900
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 2}
  • id: 4511901
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 3}
  • id: 4511902
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 5}
  • id: 4511903
    {'charpoly_factorization': [[[211, 34, -34, -1, 1], 1]], 'hecke_orbit_code': 90071992580971921, 'p': 7}
  • id: 4511904
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 11}
  • id: 4511905
    {'charpoly_factorization': [[[601, -122, -61, 2, 1], 1]], 'hecke_orbit_code': 90071992580971921, 'p': 13}
  • id: 4511906
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 17}
  • id: 4511907
    {'charpoly_factorization': [[[1711, -94, -94, 1, 1], 1]], 'hecke_orbit_code': 90071992580971921, 'p': 19}
  • id: 4511908
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 23}
  • id: 4511909
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 29}
  • id: 4511910
    {'charpoly_factorization': [[[2581, -556, -139, 4, 1], 1]], 'hecke_orbit_code': 90071992580971921, 'p': 31}
  • id: 4511911
    {'charpoly_factorization': [[[-899, 704, -64, -11, 1], 1]], 'hecke_orbit_code': 90071992580971921, 'p': 37}
  • id: 4511912
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 41}
  • id: 4511913
    {'charpoly_factorization': [[[4495, 950, -190, -5, 1], 1]], 'hecke_orbit_code': 90071992580971921, 'p': 43}
  • id: 4511914
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 47}
  • id: 4511915
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 53}
  • id: 4511916
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 59}
  • id: 4511917
    {'charpoly_factorization': [[[-4379, -1768, -136, 13, 1], 1]], 'hecke_orbit_code': 90071992580971921, 'p': 61}
  • id: 4511918
    {'charpoly_factorization': [[[-3449, -2354, -214, 11, 1], 1]], 'hecke_orbit_code': 90071992580971921, 'p': 67}
  • id: 4511919
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 71}
  • id: 4511920
    {'charpoly_factorization': [[[145, -2650, -265, 10, 1], 1]], 'hecke_orbit_code': 90071992580971921, 'p': 73}
  • id: 4511921
    {'charpoly_factorization': [[[-6989, -2938, -226, 13, 1], 1]], 'hecke_orbit_code': 90071992580971921, 'p': 79}
  • id: 4511922
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 83}
  • id: 4511923
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 90071992580971921, 'p': 89}
  • id: 4511924
    {'charpoly_factorization': [[[-9599, 4046, -289, -14, 1], 1]], 'hecke_orbit_code': 90071992580971921, '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': 21, 'label': '7569.2.a.u', 'level': 7569, 'portrait': 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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 64515199
    {'hecke_orbit_code': 90071992580971921, 'n': 1, 'trace_an': 4}
  • id: 64515200
    {'hecke_orbit_code': 90071992580971921, 'n': 2, 'trace_an': 0}
  • id: 64515201
    {'hecke_orbit_code': 90071992580971921, 'n': 3, 'trace_an': 0}
  • id: 64515202
    {'hecke_orbit_code': 90071992580971921, 'n': 4, 'trace_an': -8}
  • id: 64515203
    {'hecke_orbit_code': 90071992580971921, 'n': 5, 'trace_an': 0}
  • id: 64515204
    {'hecke_orbit_code': 90071992580971921, 'n': 6, 'trace_an': 0}
  • id: 64515205
    {'hecke_orbit_code': 90071992580971921, 'n': 7, 'trace_an': 1}
  • id: 64515206
    {'hecke_orbit_code': 90071992580971921, 'n': 8, 'trace_an': 0}
  • id: 64515207
    {'hecke_orbit_code': 90071992580971921, 'n': 9, 'trace_an': 0}
  • id: 64515208
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  • id: 64515209
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  • id: 64515210
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  • id: 64515211
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  • id: 64515212
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  • id: 64515213
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  • id: 64515214
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  • id: 64515215
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  • id: 64515216
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  • id: 64515217
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  • id: 64515218
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  • id: 64515219
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  • id: 64515220
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  • id: 64515221
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  • id: 64515222
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  • id: 64515223
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  • id: 64515224
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  • id: 64515225
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  • id: 64515226
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  • id: 64515227
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  • id: 64515228
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  • id: 64515229
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  • id: 64515230
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  • id: 64515231
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  • id: 64515232
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  • id: 64515233
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  • id: 64515234
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  • id: 64515235
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  • id: 64515236
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  • id: 64515237
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  • id: 64515238
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  • id: 64515239
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  • id: 64515240
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  • id: 64515241
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  • id: 64515242
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  • id: 64515243
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  • id: 64515244
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  • id: 64515245
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  • id: 64515246
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  • id: 64515247
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  • id: 64515248
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  • id: 64515249
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  • id: 64515250
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  • id: 64515251
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  • id: 64515252
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  • id: 64515253
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  • id: 64515254
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  • id: 64515255
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  • id: 64515256
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  • id: 64515257
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  • id: 64515258
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  • id: 64515259
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  • id: 64515260
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  • id: 64515261
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  • id: 64515262
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  • id: 64515263
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  • id: 64515264
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  • id: 64515265
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  • id: 64515266
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  • id: 64515267
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  • id: 64515268
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  • id: 64515269
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  • id: 64515270
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  • id: 64515271
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  • id: 64515272
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  • id: 64515273
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  • id: 64515274
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  • id: 64515275
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  • id: 64515276
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  • id: 64515277
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  • id: 64515278
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  • id: 64515279
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  • id: 64515280
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  • id: 64515281
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  • id: 64515282
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  • id: 64515283
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  • id: 64515284
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  • id: 64515285
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  • id: 64515286
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  • id: 64515287
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  • id: 64515288
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  • id: 64515289
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  • id: 64515290
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  • id: 64515291
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  • id: 64515292
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  • id: 64515293
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  • id: 64515294
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  • id: 64515295
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  • id: 64515296
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  • id: 64515297
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  • id: 64515298
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  • id: 64515299
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  • id: 64515300
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  • id: 64515301
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  • id: 64515302
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  • id: 64515303
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  • id: 64515304
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  • id: 64515305
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  • id: 64515306
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  • id: 64515307
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  • id: 64515308
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  • id: 64515309
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  • id: 64515310
    {'hecke_orbit_code': 90071992580971921, 'n': 139, 'trace_an': 16}
  • id: 64515311
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  • id: 64515312
    {'hecke_orbit_code': 90071992580971921, 'n': 151, 'trace_an': 19}
  • id: 64515313
    {'hecke_orbit_code': 90071992580971921, 'n': 157, 'trace_an': 14}
  • id: 64515314
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  • id: 64515315
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  • id: 64515316
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  • id: 64515317
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  • id: 64515318
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  • id: 64515319
    {'hecke_orbit_code': 90071992580971921, 'n': 181, 'trace_an': 7}
  • id: 64515320
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  • id: 64515321
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  • id: 64515322
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  • id: 64515323
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  • id: 64515324
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  • id: 64515325
    {'hecke_orbit_code': 90071992580971921, 'n': 223, 'trace_an': -23}
  • id: 64515326
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  • id: 64515327
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  • id: 64515328
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  • id: 64515329
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  • id: 64515330
    {'hecke_orbit_code': 90071992580971921, 'n': 241, 'trace_an': -14}
  • id: 64515331
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  • id: 64515332
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  • id: 64515333
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  • id: 64515334
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  • id: 64515335
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  • id: 64515336
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  • id: 64515337
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  • id: 64515338
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  • id: 64515339
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  • id: 64515340
    {'hecke_orbit_code': 90071992580971921, 'n': 283, 'trace_an': -32}
  • id: 64515341
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  • id: 64515342
    {'hecke_orbit_code': 90071992580971921, 'n': 293, 'trace_an': 0}
  • id: 64515343
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  • id: 64515344
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  • id: 64515345
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  • id: 64515346
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  • id: 64515347
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  • id: 64515348
    {'hecke_orbit_code': 90071992580971921, 'n': 337, 'trace_an': -116}
  • id: 64515349
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  • id: 64515350
    {'hecke_orbit_code': 90071992580971921, 'n': 347, 'trace_an': 0}
  • id: 64515351
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  • id: 64515352
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  • id: 64515353
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  • id: 64515354
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  • id: 64515355
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  • id: 64515356
    {'hecke_orbit_code': 90071992580971921, 'n': 373, 'trace_an': 25}
  • id: 64515357
    {'hecke_orbit_code': 90071992580971921, 'n': 379, 'trace_an': -116}
  • id: 64515358
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  • id: 64515359
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  • id: 64515360
    {'hecke_orbit_code': 90071992580971921, 'n': 397, 'trace_an': -35}
  • id: 64515361
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  • id: 64515362
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  • id: 64515363
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  • id: 64515364
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  • id: 64515365
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  • id: 64515366
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  • id: 64515367
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  • id: 64515368
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  • id: 64515369
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  • id: 64515370
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  • id: 64515371
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  • id: 64515372
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  • id: 64515373
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  • id: 64515374
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  • id: 64515375
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  • id: 64515376
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  • id: 64515377
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  • id: 64515378
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  • id: 64515379
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  • id: 64515380
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  • id: 64515381
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  • id: 64515382
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  • id: 64515383
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  • id: 64515384
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  • id: 64515385
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  • id: 64515386
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  • id: 64515387
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  • id: 64515388
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  • id: 64515389
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  • id: 64515390
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  • id: 64515391
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  • id: 64515392
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  • id: 64515393
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  • id: 64515394
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  • id: 64515395
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  • id: 64515396
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  • id: 64515397
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  • id: 64515398
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  • id: 64515399
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  • id: 64515400
    {'hecke_orbit_code': 90071992580971921, 'n': 631, 'trace_an': -4}
  • id: 64515401
    {'hecke_orbit_code': 90071992580971921, 'n': 641, 'trace_an': 0}
  • id: 64515402
    {'hecke_orbit_code': 90071992580971921, 'n': 643, 'trace_an': -28}
  • id: 64515403
    {'hecke_orbit_code': 90071992580971921, 'n': 647, 'trace_an': 0}
  • id: 64515404
    {'hecke_orbit_code': 90071992580971921, 'n': 653, 'trace_an': 0}
  • id: 64515405
    {'hecke_orbit_code': 90071992580971921, 'n': 659, 'trace_an': 0}
  • id: 64515406
    {'hecke_orbit_code': 90071992580971921, 'n': 661, 'trace_an': 44}
  • id: 64515407
    {'hecke_orbit_code': 90071992580971921, 'n': 673, 'trace_an': -52}
  • id: 64515408
    {'hecke_orbit_code': 90071992580971921, 'n': 677, 'trace_an': 0}
  • id: 64515409
    {'hecke_orbit_code': 90071992580971921, 'n': 683, 'trace_an': 0}
  • id: 64515410
    {'hecke_orbit_code': 90071992580971921, 'n': 691, 'trace_an': 49}
  • id: 64515411
    {'hecke_orbit_code': 90071992580971921, 'n': 701, 'trace_an': 0}
  • id: 64515412
    {'hecke_orbit_code': 90071992580971921, 'n': 709, 'trace_an': 31}
  • id: 64515413
    {'hecke_orbit_code': 90071992580971921, 'n': 719, 'trace_an': 0}
  • id: 64515414
    {'hecke_orbit_code': 90071992580971921, 'n': 727, 'trace_an': -49}
  • id: 64515415
    {'hecke_orbit_code': 90071992580971921, 'n': 729, 'trace_an': 0}
  • id: 64515416
    {'hecke_orbit_code': 90071992580971921, 'n': 733, 'trace_an': 50}
  • id: 64515417
    {'hecke_orbit_code': 90071992580971921, 'n': 739, 'trace_an': 53}
  • id: 64515418
    {'hecke_orbit_code': 90071992580971921, 'n': 743, 'trace_an': 0}
  • id: 64515419
    {'hecke_orbit_code': 90071992580971921, 'n': 751, 'trace_an': 11}
  • id: 64515420
    {'hecke_orbit_code': 90071992580971921, 'n': 757, 'trace_an': -116}
  • id: 64515421
    {'hecke_orbit_code': 90071992580971921, 'n': 761, 'trace_an': 0}
  • id: 64515422
    {'hecke_orbit_code': 90071992580971921, 'n': 769, 'trace_an': 2}
  • id: 64515423
    {'hecke_orbit_code': 90071992580971921, 'n': 773, 'trace_an': 0}
  • id: 64515424
    {'hecke_orbit_code': 90071992580971921, 'n': 787, 'trace_an': -100}
  • id: 64515425
    {'hecke_orbit_code': 90071992580971921, 'n': 797, 'trace_an': 0}
  • id: 64515426
    {'hecke_orbit_code': 90071992580971921, 'n': 809, 'trace_an': 0}
  • id: 64515427
    {'hecke_orbit_code': 90071992580971921, 'n': 811, 'trace_an': -56}
  • id: 64515428
    {'hecke_orbit_code': 90071992580971921, 'n': 821, 'trace_an': 0}
  • id: 64515429
    {'hecke_orbit_code': 90071992580971921, 'n': 823, 'trace_an': 5}
  • id: 64515430
    {'hecke_orbit_code': 90071992580971921, 'n': 827, 'trace_an': 0}
  • id: 64515431
    {'hecke_orbit_code': 90071992580971921, 'n': 829, 'trace_an': -7}
  • id: 64515432
    {'hecke_orbit_code': 90071992580971921, 'n': 839, 'trace_an': 0}
  • id: 64515433
    {'hecke_orbit_code': 90071992580971921, 'n': 841, 'trace_an': 0}
  • id: 64515434
    {'hecke_orbit_code': 90071992580971921, 'n': 853, 'trace_an': 232}
  • id: 64515435
    {'hecke_orbit_code': 90071992580971921, 'n': 857, 'trace_an': 0}
  • id: 64515436
    {'hecke_orbit_code': 90071992580971921, 'n': 859, 'trace_an': 56}
  • id: 64515437
    {'hecke_orbit_code': 90071992580971921, 'n': 863, 'trace_an': 0}
  • id: 64515438
    {'hecke_orbit_code': 90071992580971921, 'n': 877, 'trace_an': -59}
  • id: 64515439
    {'hecke_orbit_code': 90071992580971921, 'n': 881, 'trace_an': 0}
  • id: 64515440
    {'hecke_orbit_code': 90071992580971921, 'n': 883, 'trace_an': -8}
  • id: 64515441
    {'hecke_orbit_code': 90071992580971921, 'n': 887, 'trace_an': 0}
  • id: 64515442
    {'hecke_orbit_code': 90071992580971921, 'n': 907, 'trace_an': -40}
  • id: 64515443
    {'hecke_orbit_code': 90071992580971921, 'n': 911, 'trace_an': 0}
  • id: 64515444
    {'hecke_orbit_code': 90071992580971921, 'n': 919, 'trace_an': 52}
  • id: 64515445
    {'hecke_orbit_code': 90071992580971921, 'n': 929, 'trace_an': 0}
  • id: 64515446
    {'hecke_orbit_code': 90071992580971921, 'n': 937, 'trace_an': 140}
  • id: 64515447
    {'hecke_orbit_code': 90071992580971921, 'n': 941, 'trace_an': 0}
  • id: 64515448
    {'hecke_orbit_code': 90071992580971921, 'n': 947, 'trace_an': 0}
  • id: 64515449
    {'hecke_orbit_code': 90071992580971921, 'n': 953, 'trace_an': 0}
  • id: 64515450
    {'hecke_orbit_code': 90071992580971921, 'n': 961, 'trace_an': 170}
  • id: 64515451
    {'hecke_orbit_code': 90071992580971921, 'n': 967, 'trace_an': 41}
  • id: 64515452
    {'hecke_orbit_code': 90071992580971921, 'n': 971, 'trace_an': 0}
  • id: 64515453
    {'hecke_orbit_code': 90071992580971921, 'n': 977, 'trace_an': 0}
  • id: 64515454
    {'hecke_orbit_code': 90071992580971921, 'n': 983, 'trace_an': 0}
  • id: 64515455
    {'hecke_orbit_code': 90071992580971921, 'n': 991, 'trace_an': 61}
  • id: 64515456
    {'hecke_orbit_code': 90071992580971921, 'n': 997, 'trace_an': 59}