Newform data - 7569.2.a.bg

Formats: - HTML - YAML - JSON - 2025-01-12T21:32:05.586867

• 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': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 14884000000, 'field_disc_factorization': [[2, 8], [5, 6], [61, 2]], 'field_poly': [1, 0, -31, 0, 36, 0, -11, 0, 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': 1, 'hecke_cutters': [[2, [1, 0, -31, 0, 36, 0, -11, 0, 1]], [5, [16, 0, -116, 0, 121, 0, -21, 0, 1]], [7, [5, 20, -15, 0, 1]], [19, [5, 5, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109417873, 'hecke_ring_generator_nbound': 7, '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, 0]], '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': True, 'label': '7569.2.a.bg', '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.bf', 'nf_label': '8.8.14884000000.2', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(\\beta _{1}+\\beta _{6}-\\beta _{7})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7569.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2259677211118658085, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.439', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '312.755', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '20577.773', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.510', 'prec': 17}, 'traces': [8, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 0, 2, 0, 0, -2, 0, 0, -20, 0, 0, -14, 0, 0, 2, 0, 0, -20, 0, 0, -10, 0, 0, -36, 0, 0, -18, 0, 0, 10, 0, 0, -28, 0, 0, -26, 0, 0, 4, 0, 0, 44, 0, 0, -14, 0, 0, 0, 0, 0, -54, 0, 0, -44, 0, 0, 38, 0, 0, -70, 0, 0, 16, 0, 0, -20, 0, 0, -14, 0, 0, 2, 0, 0, -56, 0, 0, -60, 0, 0, -30, 0, 0, 52, 0, 0, 6, 0, 0, -6, 0, 0, -14, 0, 0, -68, 0, 0, 2, 0, 0, -30, 0, 0, 64, 0, 0, -22, 0, 0, 20, 0, 0, 20, 0, 0, -34, 0, 0, 48, 0, 0, 10, 0, 0, -20, 0, 0, 30, 0, 0, 110, 0, 0, 0, 0, 0, -106, 0, 0, -50, 0, 0, 140, 0, 0, -66, 0, 0, 2, 0, 0, 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-144, 0, 0, 8, 0, 0, 90, 0, 0, -242, 0, 0, 20, 0, 0, -426, 0, 0, 158, 0, 0, 0, 0, 0, -98, 0, 0, -140, 0, 0, 134, 0, 0, 130, 0, 0, 350, 0, 0, -72, 0, 0, 222, 0, 0, -232, 0, 0, -562, 0, 0, -330, 0, 0, 174, 0, 0, 134, 0, 0, 134, 0, 0, -202, 0, 0, 338, 0, 0, -610, 0, 0, -120, 0, 0, 84, 0, 0, -72, 0, 0, 20, 0, 0, 24, 0, 0, 84, 0, 0, 200, 0, 0, -178, 0, 0, -28, 0, 0, -126, 0, 0, 138, 0, 0, 524, 0, 0, 0, 0, 0, 330, 0, 0, -138, 0, 0, 46, 0, 0, 12, 0, 0, -54, 0, 0, 68, 0, 0, -210, 0, 0, 110, 0, 0, -320, 0, 0, 12, 0, 0, -312, 0, 0, -38, 0, 0, 202, 0, 0, 112, 0, 0, 80, 0, 0, -128, 0, 0, 278, 0, 0, -152, 0, 0, 230, 0, 0, -114, 0, 0, 362, 0, 0, 20, 0, 0, 60, 0, 0, 194, 0, 0, 316, 0, 0, -226, 0, 0, 12, 0, 0, -24, 0, 0, 0, 0, 0, -214, 0, 0, 106, 0, 0, -138, 0, 0, -148, 0, 0, -196, 0, 0, -322, 0, 0, -30, 0, 0, 438, 0, 0, 80, 0, 0, 90, 0, 0, -14, 0, 0, 386, 0, 0, -458, 0, 0, -160, 0, 0, -16, 0, 0, -92, 0, 0, -70, 0, 0, 68, 0, 0, 126, 0, 0, -68, 0, 0, 130, 0, 0, -164, 0, 0, -270, 0, 0, 60, 0, 0, -6, 0, 0, 130, 0, 0, -26, 0, 0, -490, 0, 0, 0, 0, 0, -130, 0, 0, -276, 0, 0, 136, 0, 0, 112, 0, 0, -150, 0, 0, 30, 0, 0, 62, 0, 0, -2, 0, 0, -236, 0, 0, -274, 0, 0, 414, 0, 0, 446, 0, 0, 260, 0, 0, -204, 0, 0, -218, 0, 0, -118, 0, 0, -62, 0, 0, 100, 0, 0, 486, 0, 0, -92, 0, 0, -128, 0, 0, 114, 0, 0, 150, 0, 0], 'weight': 2, 'weight_parity': 1}
• mf_hecke_nf •

  Column	Type
  an	jsonb
  ap	jsonb
  char_orbit_index	smallint
  field_poly	numeric[]
  hecke_orbit_code	bigint
  hecke_ring_character_values	jsonb
  hecke_ring_cyclotomic_generator	integer
  hecke_ring_denominators	numeric[]
  hecke_ring_inverse_denominators	numeric[]
  hecke_ring_inverse_numerators	numeric[]
  hecke_ring_numerators	numeric[]
  hecke_ring_power_basis	boolean
  hecke_ring_rank	integer
  label	text
  level	integer
  maxp	integer
  weight	smallint

  
  {'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, -1, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0], [0, -1, 0, 0, 0, -2, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 1, 0, 0, 0, 0], [0, -2, 0, 0, 0, 2, -2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, -1, 0, 0, 0], [0, 1, 0, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, -1, -2, -2, 0, 0, 0], [0, -1, 0, 0, 0, -1, 4, -1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 2, 0, 0, 0, 0], [0, 2, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, 0, -2, -5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, -1, 1, 0, 0, 0], [0, -1, 0, 0, 0, 1, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, -2, 0, 2, 0, 0, 0], [0, -3, 0, 0, 0, -1, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -3, 1, 1, 0, 0, 0], [0, -3, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 1, 1, 2, 0, 0, 0], [0, -2, 0, 0, 0, -1, 1, 4], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, -4, 0, 1, 0, 0, 0], [0, -5, 0, 0, 0, -2, -3, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 3, 2, 0, 0, 0], [0, 1, 0, 0, 0, 0, -3, 3], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 2, 1, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 1], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 2, 1, 0, 0, 0], [0, -4, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0], [-5, 0, -3, -1, -4, 0, 0, 0], [0, -4, 0, 0, 0, -3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 5, -4, 3], [0, 0, 0, 0, 0, 0, 0, 0], [-7, 0, -1, 1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-5, 0, -2, -2, 4, 0, 0, 0], [0, 1, 0, 0, 0, 4, -1, 5], [0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 3, -2, 1, 0, 0, 0], [0, -2, 0, 0, 0, -2, 2, -6], [0, 0, 0, 0, 0, 0, 0, 0], [-13, 0, -3, -3, -4, 0, 0, 0], [0, 7, 0, 0, 0, -1, 2, -5], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, -2, 4, -1, 0, 0, 0], [0, -5, 0, 0, 0, 2, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, -2, -1, -1, 0, 0, 0], [0, 7, 0, 0, 0, 4, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-5, 0, 1, 0, -7, 0, 0, 0], [0, 2, 0, 0, 0, -3, 3, -4], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 3, 0, -6, 0, 0, 0], [0, -2, 0, 0, 0, -7, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-8, 0, 4, -4, 0, 0, 0, 0], [0, -8, 0, 0, 0, 1, -4, -4], [0, 0, 0, 0, 0, 0, 0, 0], [-11, 0, 0, -1, -6, 0, 0, 0], [0, -2, 0, 0, 0, 5, -3, 4], [0, 0, 0, 0, 0, 0, 0, 0], [-7, 0, -1, -2, -4, 0, 0, 0], [0, 0, 0, 0, 0, 7, -3, 4], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 4, -3, -6, 0, 0, 0], [0, -3, 0, 0, 0, -1, -2, 1], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, -1, 2, 9, 0, 0, 0], [0, 5, 0, 0, 0, 4, 4, 3], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 1, 1, 8, 0, 0, 0]], 'ap': [[0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, -1], [-1, 0, 0, -1, -1, 0, 0, 0], [0, 0, 0, 0, 0, -1, -1, -2], [1, 0, 1, 0, 1, 0, 0, 0], [0, -2, 0, 0, 0, 2, -2, 2], [-3, 0, 0, 0, -1, 0, 0, 0], [0, -1, 0, 0, 0, -1, 4, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, -1, 1, 0, 0, 0], [-2, 0, -3, 1, 1, 0, 0, 0], [0, -2, 0, 0, 0, -1, 1, 4], [-4, 0, -4, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0, -3, 3], [0, -4, 0, 0, 0, 0, 0, 2], [0, -1, 0, 0, 0, 5, -4, 3], [-7, 0, -1, 1, -1, 0, 0, 0], [5, 0, 3, -2, 1, 0, 0, 0], [0, 7, 0, 0, 0, -1, 2, -5], [3, 0, -2, 4, -1, 0, 0, 0], [-5, 0, 1, 0, -7, 0, 0, 0], [0, -2, 0, 0, 0, -7, 3, 0], [0, -2, 0, 0, 0, 5, -3, 4], [6, 0, -1, 2, 9, 0, 0, 0], [0, -5, 0, 0, 0, -3, 0, 7], [-1, 0, -1, 3, -1, 0, 0, 0], [0, -1, 0, 0, 0, -2, -5, -3], [-1, 0, -1, -1, -1, 0, 0, 0], [0, 6, 0, 0, 0, -2, -2, -2], [-3, 0, 1, -3, 5, 0, 0, 0], [0, -4, 0, 0, 0, -2, 6, 0], [0, -2, 0, 0, 0, 5, -9, -2], [5, 0, -7, 1, 5, 0, 0, 0], [0, -2, 0, 0, 0, -3, -3, 6], [-5, 0, 3, -2, 3, 0, 0, 0], [-3, 0, 3, 4, 5, 0, 0, 0], [-4, 0, 2, 4, -1, 0, 0, 0], [0, -4, 0, 0, 0, -6, 0, 6], [0, -2, 0, 0, 0, 5, 5, 8], [0, 10, 0, 0, 0, 2, 0, -8], [18, 0, -4, 1, 5, 0, 0, 0], [0, -6, 0, 0, 0, 4, 0, 2], [-8, 0, 4, 0, -5, 0, 0, 0], [0, -7, 0, 0, 0, 2, -5, -1], [-1, 0, 1, 0, -7, 0, 0, 0], [-7, 0, 2, -3, -4, 0, 0, 0], [0, 0, 0, -4, 13, 0, 0, 0], [0, 0, 0, 0, 0, -5, 7, -2], [4, 0, -1, 2, -8, 0, 0, 0], [0, 4, 0, 0, 0, 2, 4, -12], [0, 3, 0, 0, 0, -6, 5, -9], [1, 0, -7, -3, -1, 0, 0, 0], [0, 9, 0, 0, 0, 9, -6, 1], [0, -7, 0, 0, 0, -7, 2, -1], [0, 5, 0, 0, 0, -5, 6, -3], [0, 5, 0, 0, 0, -2, 7, 1], [-5, 0, 1, -5, 4, 0, 0, 0], [0, 0, 4, -1, -7, 0, 0, 0], [0, -4, 0, 0, 0, -3, 11, 2], [5, 0, 7, 2, 1, 0, 0, 0], [0, 1, 0, 0, 0, 13, -8, 7], [-11, 0, 7, -2, -15, 0, 0, 0], [0, 1, 0, 0, 0, -1, 10, -1], [11, 0, 5, -1, 5, 0, 0, 0], [0, 4, 0, 0, 0, 5, 9, -4], [-12, 0, 8, 0, -7, 0, 0, 0], [-5, 0, 1, 1, -4, 0, 0, 0], [0, -11, 0, 0, 0, 3, -10, 5], [6, 0, 7, 3, -9, 0, 0, 0], [0, 0, 0, 0, 0, 7, -5, 8], [0, -5, 0, 0, 0, 5, -4, 11], [-23, 0, -1, 1, 1, 0, 0, 0], [-11, 0, 3, -3, -11, 0, 0, 0], [-1, 0, -4, -1, 4, 0, 0, 0], [0, 13, 0, 0, 0, -2, 3, -7], [0, 1, 0, 0, 0, -8, 15, -5], [-20, 0, -4, 0, -3, 0, 0, 0], [0, -2, 0, 0, 0, 0, -12, 6], [-11, 0, 11, -2, -9, 0, 0, 0], [0, -6, 0, 0, 0, 9, -5, 0], [-1, 0, 9, -4, -1, 0, 0, 0], [0, 8, 0, 0, 0, 0, -10, 0], [-6, 0, -2, 1, 17, 0, 0, 0], [2, 0, 2, 9, 3, 0, 0, 0], [0, -1, 0, 0, 0, 7, -2, 13], [0, -8, 0, 0, 0, 13, -15, 2], [13, 0, -10, 5, 11, 0, 0, 0], [0, -2, 0, 0, 0, -9, -1, -12], [4, 0, 1, -3, -15, 0, 0, 0], [0, 10, 0, 0, 0, -1, 1, 6], [0, 0, 0, 0, 0, 2, 4, -10], [7, 0, 4, -6, -1, 0, 0, 0], [0, -3, 0, 0, 0, 16, -11, 11], [-4, 0, 1, 0, 9, 0, 0, 0], [0, -4, 0, 0, 0, 0, -6, 2], [0, 6, 0, 0, 0, 10, -10, -8], [0, 7, 0, 0, 0, -4, -15, -3], [-15, 0, 4, -8, -1, 0, 0, 0], [1, 0, 6, 7, -4, 0, 0, 0], [-13, 0, 3, -2, -29, 0, 0, 0], [0, 11, 0, 0, 0, -5, -4, -3], [0, 7, 0, 0, 0, 8, -11, 9], [0, -13, 0, 0, 0, -2, 1, 5], [8, 0, -1, 3, 3, 0, 0, 0], [3, 0, 9, -1, -17, 0, 0, 0], [0, -2, 0, 0, 0, -8, -10, -6], [0, 15, 0, 0, 0, 14, -1, -9], [0, -5, 0, 0, 0, -14, 11, -15], [-4, 0, -6, 0, 7, 0, 0, 0], [-6, 0, 15, -2, -12, 0, 0, 0], [-4, 0, -1, -4, -3, 0, 0, 0], [0, 12, 0, 0, 0, 5, -1, -12], [-18, 0, -12, 1, -1, 0, 0, 0], [7, 0, -3, -1, 12, 0, 0, 0], [0, -3, 0, 0, 0, -14, 3, -21], [20, 0, -8, 4, 12, 0, 0, 0], [0, 8, 0, 0, 0, -8, -8, -10], [0, 11, 0, 0, 0, 13, -12, 1], [0, -4, 0, 0, 0, 1, -9, 16], [10, 0, -6, 8, 20, 0, 0, 0], [-16, 0, -2, -2, -20, 0, 0, 0], [0, 0, 0, 0, 0, -15, 23, -4], [0, 5, 0, 0, 0, -16, 9, -1], [4, 0, 0, 1, 5, 0, 0, 0], [0, -12, 0, 0, 0, -5, -1, 16], [-3, 0, 3, -8, 9, 0, 0, 0], [0, 23, 0, 0, 0, 4, 1, -13], [-13, 0, 1, -10, -1, 0, 0, 0], [-8, 0, -1, -4, 1, 0, 0, 0], [-13, 0, -2, -5, -13, 0, 0, 0], [0, -26, 0, 0, 0, 7, -5, 20], [-13, 0, -1, 3, -5, 0, 0, 0], [4, 0, -10, -2, -4, 0, 0, 0], [0, -1, 0, 0, 0, 3, 4, 9], [-6, 0, -13, 10, 7, 0, 0, 0], [0, 8, 0, 0, 0, 11, 7, -6], [1, 0, 9, 1, 0, 0, 0, 0], [0, -7, 0, 0, 0, 11, -2, 5], [0, -9, 0, 0, 0, -2, 7, 7], [25, 0, 4, -3, 1, 0, 0, 0], [0, 12, 0, 0, 0, 6, -12, -6], [16, 0, 1, -1, 7, 0, 0, 0], [0, 0, 0, 0, 0, -17, -5, -6], [11, 0, -10, -1, 17, 0, 0, 0], [0, 14, 0, 0, 0, 10, -4, 0], [-25, 0, -9, 1, 4, 0, 0, 0], [0, 19, 0, 0, 0, -5, 6, -3], [-12, 0, -9, 5, 1, 0, 0, 0], [0, 3, 0, 0, 0, 13, -14, -7], [-2, 0, 11, -10, -3, 0, 0, 0], [0, 3, 0, 0, 0, 9, -8, -3], [-18, 0, 3, 2, -37, 0, 0, 0], [0, 8, 0, 0, 0, -2, -12, -4], [17, 0, -15, 10, 13, 0, 0, 0], [0, 17, 0, 0, 0, 4, -5, 5], [7, 0, 5, 3, -1, 0, 0, 0], [0, -13, 0, 0, 0, -2, -1, -5], [-29, 0, 16, -3, -24, 0, 0, 0], [0, -7, 0, 0, 0, 3, 20, 9], [0, -14, 0, 0, 0, 2, 0, 4], [0, 19, 0, 0, 0, 4, -1, -19], [-2, 0, 14, -1, -19, 0, 0, 0], [0, 4, 0, 0, 0, 21, -5, 8], [0, -2, 0, 0, 0, -4, 0, 8], [0, -4, 0, 0, 0, -16, 4, -6], [-1, 0, -8, -5, -3, 0, 0, 0], [28, 0, 1, -4, 7, 0, 0, 0], [22, 0, -11, 5, 29, 0, 0, 0], [0, 5, 0, 0, 0, 2, -1, -23], [0, 14, 0, 0, 0, -10, 10, -2], [9, 0, 11, 1, -11, 0, 0, 0], [0, -4, 0, 0, 0, 8, -18, 2], [5, 0, 3, 7, -28, 0, 0, 0], [11, 0, -1, -1, 15, 0, 0, 0], [0, 6, 0, 0, 0, -6, -18, -4], [-19, 0, 10, -11, -16, 0, 0, 0], [0, -20, 0, 0, 0, 0, 10, 8], [0, 0, -19, 9, 13, 0, 0, 0], [-19, 0, -8, 1, -15, 0, 0, 0], [-30, 0, -15, 9, -9, 0, 0, 0], [0, 1, 0, 0, 0, -1, -8, -3], [29, 0, 6, 3, 16, 0, 0, 0], [0, 4, 0, 0, 0, 8, -10, 2], [0, 2, 0, 0, 0, -11, -15, -6], [0, 9, 0, 0, 0, -11, 16, -1], [-9, 0, -7, 0, -17, 0, 0, 0], [4, 0, -2, -4, 9, 0, 0, 0], [33, 0, 0, 3, 12, 0, 0, 0], [0, -3, 0, 0, 0, -17, 8, -3], [-32, 0, 3, -1, -7, 0, 0, 0], [0, 8, 0, 0, 0, 12, -8, -2], [-33, 0, 2, -2, -1, 0, 0, 0], [0, 9, 0, 0, 0, -4, 25, -9], [0, -4, 0, 0, 0, -9, 3, -6], [0, -10, 0, 0, 0, -1, -15, -12], [23, 0, -14, 7, 19, 0, 0, 0], [14, 0, -7, 9, 29, 0, 0, 0], [0, 0, 0, 0, 0, -1, 3, -14], [0, 2, 0, 0, 0, -8, 14, 10], [0, -11, 0, 0, 0, -8, 13, 7], [25, 0, -2, 9, -12, 0, 0, 0], [-13, 0, 4, -15, -20, 0, 0, 0], [-34, 0, -12, 7, -17, 0, 0, 0], [0, -11, 0, 0, 0, 2, 17, 17], [0, -4, 0, 0, 0, 0, 4, -14], [14, 0, 5, -6, 1, 0, 0, 0], [0, 16, 0, 0, 0, 6, 14, -16], [0, 6, 0, 0, 0, 1, -17, -8], [-13, 0, -9, -9, 11, 0, 0, 0], [-32, 0, -3, -13, 17, 0, 0, 0], [0, -14, 0, 0, 0, -16, 22, -10], [25, 0, -9, 13, 5, 0, 0, 0], [0, 6, 0, 0, 0, -4, 4, -26], [0, 0, 0, 0, 0, -17, 19, -14], [-12, 0, -9, -4, -11, 0, 0, 0], [-14, 0, -7, -7, 7, 0, 0, 0], [0, 9, 0, 0, 0, 4, 23, -9], [0, 18, 0, 0, 0, -8, -4, -36], [0, -13, 0, 0, 0, -15, 8, 7], [0, 0, -7, -7, 19, 0, 0, 0], [1, 0, -5, 10, 29, 0, 0, 0], [0, 23, 0, 0, 0, -11, 16, -21], [19, 0, -11, 4, 5, 0, 0, 0], [0, -7, 0, 0, 0, 24, -25, 15], [3, 0, 6, -15, 16, 0, 0, 0], [0, 26, 0, 0, 0, -11, 5, -20], [0, 18, 0, 0, 0, 5, -15, 2], [-16, 0, 18, -12, -11, 0, 0, 0], [0, 2, 0, 0, 0, 2, -6, -10], [28, 0, 2, -11, -1, 0, 0, 0], [-45, 0, -7, 3, -21, 0, 0, 0], [-31, 0, -8, -15, 28, 0, 0, 0], [0, 16, 0, 0, 0, -7, 3, 2], [-33, 0, 7, -5, -11, 0, 0, 0], [0, -9, 0, 0, 0, -15, 24, -11], [-51, 0, -5, 5, -15, 0, 0, 0], [0, 19, 0, 0, 0, -3, 14, 5], [0, 22, 0, 0, 0, 9, 13, -28], [0, 0, 0, 0, 0, 19, -25, 4], [0, 6, 0, 0, 0, -11, -3, -10], [-10, 0, 7, -2, 19, 0, 0, 0], [10, 0, -2, 7, -11, 0, 0, 0], [13, 0, 0, 8, 5, 0, 0, 0], [0, -10, 0, 0, 0, -1, 17, 14], [0, 10, 0, 0, 0, -2, 12, 16], [24, 0, -22, 5, 37, 0, 0, 0], [0, 2, 0, 0, 0, 26, 8, 10], [-32, 0, -11, 8, -31, 0, 0, 0], [0, 6, 0, 0, 0, 5, 37, -12], [-10, 0, 5, -8, -40, 0, 0, 0], [0, -22, 0, 0, 0, -16, 12, 10], [0, -15, 0, 0, 0, -16, 13, -7], [0, 0, 15, -22, 0, 0, 0, 0], [0, 18, 0, 0, 0, 11, -7, -14], [0, 3, 0, 0, 0, 26, -21, 25], [8, 0, 15, 9, -29, 0, 0, 0], [12, 0, -5, 19, -13, 0, 0, 0], [0, 17, 0, 0, 0, -2, 1, -3], [0, 0, -3, 13, -17, 0, 0, 0], [-20, 0, -2, 0, -31, 0, 0, 0], [0, -12, 0, 0, 0, -7, -11, 10], [36, 0, 7, 4, 7, 0, 0, 0], [-1, 0, -12, 2, 5, 0, 0, 0], [0, -7, 0, 0, 0, 0, 5, 5], [-1, 0, -8, -6, -21, 0, 0, 0], [0, 11, 0, 0, 0, 5, -8, 9], [0, -16, 0, 0, 0, 5, -15, -14], [7, 0, 12, -6, -1, 0, 0, 0], [0, 8, 0, 0, 0, -19, 33, -2], [11, 0, 0, -13, -15, 0, 0, 0], [27, 0, -12, 18, 23, 0, 0, 0], [-15, 0, -17, -1, 12, 0, 0, 0], [-7, 0, 7, -7, 7, 0, 0, 0], [3, 0, -3, 3, 25, 0, 0, 0], [-47, 0, 9, -2, -39, 0, 0, 0], [0, 3, 0, 0, 0, 4, 5, 17], [9, 0, 7, 9, 33, 0, 0, 0], [30, 0, 1, 10, -9, 0, 0, 0], [0, 4, 0, 0, 0, 19, -9, 22], [0, -20, 0, 0, 0, 22, 14, 40], [12, 0, -7, 0, -15, 0, 0, 0], [0, -2, 0, 0, 0, 24, -4, 14], [-36, 0, 0, -11, -9, 0, 0, 0], [-6, 0, -5, 10, 12, 0, 0, 0], [0, -4, 0, 0, 0, -15, 1, -14], [37, 0, -10, -3, 1, 0, 0, 0], [0, 2, 0, 0, 0, 9, 17, 2], [-51, 0, -1, 2, -19, 0, 0, 0], [0, 24, 0, 0, 0, -4, 10, 2], [0, -12, 0, 0, 0, 15, -1, 14], [0, 7, 0, 0, 0, -8, -9, -43], [0, -18, 0, 0, 0, -4, 12, -18], [0, 11, 0, 0, 0, 14, -9, 25], [20, 0, 2, -8, -9, 0, 0, 0], [0, -11, 0, 0, 0, 29, 0, 31], [3, 0, 7, -8, 9, 0, 0, 0], [0, -10, 0, 0, 0, 21, -27, 6], [0, -30, 0, 0, 0, -19, -9, 30], [32, 0, 5, -4, 55, 0, 0, 0], [-25, 0, -3, -10, 1, 0, 0, 0], [0, 6, 0, 0, 0, -19, 13, -14], [-13, 0, -11, 14, 15, 0, 0, 0], [0, -22, 0, 0, 0, -12, -2, -8], [-1, 0, 8, -1, -8, 0, 0, 0], [-32, 0, 10, -25, -3, 0, 0, 0], [0, 4, 0, 0, 0, 9, -17, 0], [-13, 0, -2, 7, 3, 0, 0, 0], [0, -14, 0, 0, 0, -28, 12, 6], [29, 0, -7, -2, 39, 0, 0, 0], [0, -28, 0, 0, 0, 15, 3, 14], [0, 15, 0, 0, 0, 20, 1, -21], [0, -4, 0, 0, 0, 5, -27, 4], [-38, 0, 3, 2, 9, 0, 0, 0], [0, 10, 0, 0, 0, -7, 19, -10], [-17, 0, 5, -21, 3, 0, 0, 0], [0, 8, 0, 0, 0, -4, 36, 0], [0, -18, 0, 0, 0, -35, 23, -16], [-19, 0, -16, 3, -8, 0, 0, 0], [0, -22, 0, 0, 0, 6, 10, 8], [-20, 0, 3, -3, -15, 0, 0, 0], [-25, 0, -17, 4, -5, 0, 0, 0], [0, -26, 0, 0, 0, -2, -4, 28], [-29, 0, 8, 0, 13, 0, 0, 0], [0, 9, 0, 0, 0, -3, -6, -29], [0, 0, 0, 14, -28, 0, 0, 0], [18, 0, 1, -11, -13, 0, 0, 0], [11, 0, 6, -17, 19, 0, 0, 0], [0, 2, 0, 0, 0, 6, 22, 12], [0, 5, 0, 0, 0, 21, 12, 1], [10, 0, -7, -2, 25, 0, 0, 0], [0, 11, 0, 0, 0, -16, 21, -3], [-12, 0, 30, -3, -19, 0, 0, 0], [0, -12, 0, 0, 0, -8, 24, -24], [-6, 0, 9, -9, 13, 0, 0, 0], [0, 4, 0, 0, 0, -5, -11, -26], [10, 0, 14, -14, 5, 0, 0, 0], [0, 4, 0, 0, 0, -13, 3, -12], [22, 0, -29, 11, 15, 0, 0, 0], [14, 0, 1, -14, 15, 0, 0, 0], [-7, 0, -14, -5, -20, 0, 0, 0], [0, -5, 0, 0, 0, -10, 7, -9], [0, -5, 0, 0, 0, 3, -26, 9], [47, 0, 10, 0, 37, 0, 0, 0], [0, 7, 0, 0, 0, -24, 31, -9], [0, 4, 0, 0, 0, -6, -4, 18], [1, 0, 28, -2, 7, 0, 0, 0], [27, 0, 6, -10, -13, 0, 0, 0], [0, 1, 0, 0, 0, -4, 3, 27], [0, 0, 0, 0, 0, -8, 32, 8], [4, 0, -10, 12, 31, 0, 0, 0], [-4, 0, 19, 0, -37, 0, 0, 0], [0, -2, 0, 0, 0, 5, -19, -28], [-35, 0, -5, 4, -17, 0, 0, 0], [-7, 0, 8, -23, 11, 0, 0, 0], [0, 7, 0, 0, 0, -21, 6, -1], [0, 3, 0, 0, 0, 17, 8, -9], [0, 16, 0, 0, 0, 31, -31, 6], [0, -4, 0, 0, 0, 1, -21, 22], [0, -16, 0, 0, 0, -7, -9, 34], [-15, 0, -16, -1, -28, 0, 0, 0], [0, -28, 0, 0, 0, -6, 6, -14], [0, -3, 0, 0, 0, 6, -7, -19], [0, 23, 0, 0, 0, -13, -10, -21], [6, 0, 14, -6, 15, 0, 0, 0], [14, 0, -7, -2, -1, 0, 0, 0], [0, -15, 0, 0, 0, 5, -30, 21], [-10, 0, 7, -5, 5, 0, 0, 0], [-42, 0, 16, -2, -13, 0, 0, 0], [0, 3, 0, 0, 0, 3, 10, -15], [-39, 0, -12, 5, 0, 0, 0, 0], [0, -19, 0, 0, 0, 2, -11, 37], [0, -2, 0, 0, 0, 9, -13, -24], [3, 0, -16, -6, 15, 0, 0, 0], [8, 0, -8, 0, -13, 0, 0, 0], [0, 10, 0, 0, 0, 2, 30, 8], [0, -5, 0, 0, 0, 20, 19, 37], [-49, 0, -3, 2, -3, 0, 0, 0], [0, 22, 0, 0, 0, 2, -32, -6], [23, 0, -17, 7, 31, 0, 0, 0], [0, 10, 0, 0, 0, 1, 5, -30], [0, -22, 0, 0, 0, 19, -1, 10], [0, 0, 0, 20, 16, 0, 0, 0], [0, 41, 0, 0, 0, 5, 4, -25], [-16, 0, 2, -15, -23, 0, 0, 0], [0, -26, 0, 0, 0, 6, 2, 4], [-18, 0, -21, 18, -19, 0, 0, 0], [-1, 0, 13, -5, -37, 0, 0, 0], [58, 0, -7, 13, 19, 0, 0, 0], [0, -33, 0, 0, 0, -8, 3, -1], [15, 0, -1, -4, -21, 0, 0, 0], [0, -21, 0, 0, 0, 31, -34, 17], [0, -20, 0, 0, 0, 0, 10, 10], [30, 0, 13, 3, 17, 0, 0, 0], [0, -6, 0, 0, 0, -4, -12, -12], [70, 0, -27, 22, 47, 0, 0, 0], [-15, 0, 6, -11, 8, 0, 0, 0], [0, 20, 0, 0, 0, -22, -14, -24], [20, 0, 14, -12, 39, 0, 0, 0], [0, 37, 0, 0, 0, -16, 9, -15], [33, 0, -11, 18, 19, 0, 0, 0], [0, -20, 0, 0, 0, -28, 18, -12], [14, 0, -6, 1, 27, 0, 0, 0], [0, -10, 0, 0, 0, -1, -15, -32], [0, -10, 0, 0, 0, -13, -3, -4], [-11, 0, 27, -15, -11, 0, 0, 0], [40, 0, 0, 3, 49, 0, 0, 0], [0, -2, 0, 0, 0, -6, 6, -8], [-9, 0, -14, 12, 9, 0, 0, 0], [0, -22, 0, 0, 0, -8, 4, -26], [-14, 0, 5, -5, 31, 0, 0, 0], [0, -20, 0, 0, 0, 14, -22, 12], [0, -13, 0, 0, 0, 0, 21, -1], [0, 0, -5, -12, 49, 0, 0, 0], [-26, 0, 6, 3, -9, 0, 0, 0], [0, -4, 0, 0, 0, -48, 42, -14], [0, 13, 0, 0, 0, 32, -21, 7], [-11, 0, 26, 5, -36, 0, 0, 0], [0, -18, 0, 0, 0, -10, 20, -8], [0, 33, 0, 0, 0, -6, 5, -43], [0, -12, 0, 0, 0, -47, 11, -14], [27, 0, 1, 14, 41, 0, 0, 0], [0, 16, 0, 0, 0, -7, 19, -6], [0, 5, 0, 0, 0, 25, -24, 33], [-9, 0, 31, -16, -17, 0, 0, 0], [0, -9, 0, 0, 0, -2, -31, 3], [0, 6, 0, 0, 0, -6, 34, 0], [0, -41, 0, 0, 0, -25, 8, 9], [-27, 0, 4, 2, -7, 0, 0, 0], [0, -14, 0, 0, 0, -5, 11, -20]], 'char_orbit_index': 1, 'field_poly': [1, 0, -31, 0, 36, 0, -11, 0, 1], 'hecke_orbit_code': 144115188109417873, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 4, 4, 4, 4], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [3, 0, 1, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 1, 1], [14, 0, 5, 1, 0, 0, 0, 0], [0, 19, 0, 0, 0, 1, 7, 6], [71, 0, 24, 8, 4, 0, 0, 0], [0, 95, 0, 0, 0, 12, 40, 32]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-3, 0, 1, 0, 0, 0, 0, 0], [1, 0, -5, 0, 1, 0, 0, 0], [-7, 0, 16, 0, -8, 0, 1, 0], [0, -7, 0, 16, 0, -8, 0, 1], [0, 27, 0, -40, 0, 12, 0, -1], [0, -43, 0, 44, 0, -12, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '7569.2.a.bg', 'level': 7569, 'maxp': 2999, 'weight': 2}
• 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

  
  {'ALdims': [61, 75, 98, 91], '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_nf •

  Column	Type
  conductor	integer
  degree	integer
  multiplicity	smallint
  order	integer
  parity	smallint
  self_twist_disc	integer
  source_char_orbit	smallint
  source_dim	integer
  source_hecke_orbit	integer
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_char_orbit	smallint
  target_dim	integer
  target_hecke_orbit	integer
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_char_orbit	smallint
  weight	smallint

  
  
  • id: 1354591
    {'conductor': 29, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 33, 'source_is_minimal': True, 'source_label': '7569.2.a.bg', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 32, 'target_is_minimal': True, 'target_label': '7569.2.a.bf', 'target_level': 7569, 'twist_class_label': '7569.2.a.bf', 'twist_class_level': 7569, 'twisting_char_label': '29.b', 'twisting_char_orbit': 2, 'weight': 2}
  • id: 1354592
    {'conductor': 87, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 33, 'source_is_minimal': True, 'source_label': '7569.2.a.bg', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 32, 'target_is_minimal': True, 'target_label': '7569.2.a.bf', 'target_level': 7569, 'twist_class_label': '7569.2.a.bf', 'twist_class_level': 7569, 'twisting_char_label': '87.d', 'twisting_char_orbit': 4, 'weight': 2}
  • id: 1354593
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 33, 'source_is_minimal': True, 'source_label': '7569.2.a.bg', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 33, 'target_is_minimal': True, 'target_label': '7569.2.a.bg', 'target_level': 7569, 'twist_class_label': '7569.2.a.bf', 'twist_class_level': 7569, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
  • id: 1354594
    {'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 33, 'source_is_minimal': True, 'source_label': '7569.2.a.bg', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 33, 'target_is_minimal': True, 'target_label': '7569.2.a.bg', 'target_level': 7569, 'twist_class_label': '7569.2.a.bf', 'twist_class_level': 7569, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 4512275
    {'charpoly_factorization': [[[1, 0, -31, 0, 36, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 144115188109417873, 'p': 2}
  • id: 4512276
    {'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 144115188109417873, 'p': 3}
  • id: 4512277
    {'charpoly_factorization': [[[16, 0, -116, 0, 121, 0, -21, 0, 1], 1]], 'hecke_orbit_code': 144115188109417873, 'p': 5}
  • id: 4512278
    {'charpoly_factorization': [[[5, 20, -15, 0, 1], 2]], 'hecke_orbit_code': 144115188109417873, 'p': 7}
  • id: 4512279
    {'charpoly_factorization': [[[1936, 0, -3924, 0, 821, 0, -54, 0, 1], 1]], 'hecke_orbit_code': 144115188109417873, 'p': 11}
  • id: 4512280
    {'charpoly_factorization': [[[1, 9, -14, -1, 1], 2]], 'hecke_orbit_code': 144115188109417873, 'p': 13}
  • id: 4512281
    {'charpoly_factorization': [[[4096, 0, -12544, 0, 1936, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 144115188109417873, 'p': 17}
  • id: 4512282
    {'charpoly_factorization': [[[5, 5, 1], 4]], 'hecke_orbit_code': 144115188109417873, 'p': 19}
  • id: 4512283
    {'charpoly_factorization': [[[633616, 0, -132884, 0, 7321, 0, -149, 0, 1], 1]], 'hecke_orbit_code': 144115188109417873, 'p': 23}
  • id: 4512284
    {'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 144115188109417873, 'p': 29}
  • id: 4512285
    {'charpoly_factorization': [[[5, -5, -10, 5, 1], 2]], 'hecke_orbit_code': 144115188109417873, 'p': 31}
  • id: 4512286
    {'charpoly_factorization': [[[-4, -326, -39, 9, 1], 2]], 'hecke_orbit_code': 144115188109417873, 'p': 37}
  • id: 4512287
    {'charpoly_factorization': [[[38416, 0, -125636, 0, 8181, 0, -166, 0, 1], 1]], 'hecke_orbit_code': 144115188109417873, 'p': 41}
  • id: 4512288
    {'charpoly_factorization': [[[3041, -846, -69, 14, 1], 2]], 'hecke_orbit_code': 144115188109417873, 'p': 43}
  • id: 4512289
    {'charpoly_factorization': [[[1936, 0, -115396, 0, 12801, 0, -221, 0, 1], 1]], 'hecke_orbit_code': 144115188109417873, 'p': 47}
  • id: 4512290
    {'charpoly_factorization': [[[976, 0, -68, 0, 1], 2]], 'hecke_orbit_code': 144115188109417873, 'p': 53}
  • id: 4512291
    {'charpoly_factorization': [[[246016, 0, -454176, 0, 19901, 0, -261, 0, 1], 1]], 'hecke_orbit_code': 144115188109417873, 'p': 59}
  • id: 4512292
    {'charpoly_factorization': [[[941, 933, 254, 27, 1], 2]], 'hecke_orbit_code': 144115188109417873, 'p': 61}
  • id: 4512293
    {'charpoly_factorization': [[[-4519, 981, 36, -19, 1], 2]], 'hecke_orbit_code': 144115188109417873, 'p': 67}
  • id: 4512294
    {'charpoly_factorization': [[[93702400, 0, -4694800, 0, 74485, 0, -465, 0, 1], 1]], 'hecke_orbit_code': 144115188109417873, 'p': 71}
  • id: 4512295
    {'charpoly_factorization': [[[6151, 658, -161, -8, 1], 2]], 'hecke_orbit_code': 144115188109417873, 'p': 73}
  • id: 4512296
    {'charpoly_factorization': [[[1991, -387, -96, 7, 1], 2]], 'hecke_orbit_code': 144115188109417873, 'p': 79}
  • id: 4512297
    {'charpoly_factorization': [[[91317136, 0, -5395076, 0, 88941, 0, -526, 0, 1], 1]], 'hecke_orbit_code': 144115188109417873, 'p': 83}
  • id: 4512298
    {'charpoly_factorization': [[[190096, 0, -123944, 0, 18501, 0, -274, 0, 1], 1]], 'hecke_orbit_code': 144115188109417873, 'p': 89}
  • id: 4512299
    {'charpoly_factorization': [[[4516, 388, -221, -3, 1], 2]], 'hecke_orbit_code': 144115188109417873, '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': 33, 'label': '7569.2.a.bg', 'level': 7569, 'portrait': 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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 69143719
    {'hecke_orbit_code': 144115188109417873, 'n': 1, 'trace_an': 8}
  • id: 69143720
    {'hecke_orbit_code': 144115188109417873, 'n': 2, 'trace_an': 0}
  • id: 69143721
    {'hecke_orbit_code': 144115188109417873, 'n': 3, 'trace_an': 0}
  • id: 69143722
    {'hecke_orbit_code': 144115188109417873, 'n': 4, 'trace_an': 6}
  • id: 69143723
    {'hecke_orbit_code': 144115188109417873, 'n': 5, 'trace_an': 0}
  • id: 69143724
    {'hecke_orbit_code': 144115188109417873, 'n': 6, 'trace_an': 0}
  • id: 69143725
    {'hecke_orbit_code': 144115188109417873, 'n': 7, 'trace_an': 0}
  • id: 69143726
    {'hecke_orbit_code': 144115188109417873, 'n': 8, 'trace_an': 0}
  • id: 69143727
    {'hecke_orbit_code': 144115188109417873, 'n': 9, 'trace_an': 0}
  • id: 69143728
    {'hecke_orbit_code': 144115188109417873, 'n': 10, 'trace_an': 12}
  • id: 69143729
    {'hecke_orbit_code': 144115188109417873, 'n': 11, 'trace_an': 0}
  • id: 69143730
    {'hecke_orbit_code': 144115188109417873, 'n': 12, 'trace_an': 0}
  • id: 69143731
    {'hecke_orbit_code': 144115188109417873, 'n': 13, 'trace_an': 2}
  • id: 69143732
    {'hecke_orbit_code': 144115188109417873, 'n': 14, 'trace_an': 0}
  • id: 69143733
    {'hecke_orbit_code': 144115188109417873, 'n': 15, 'trace_an': 0}
  • id: 69143734
    {'hecke_orbit_code': 144115188109417873, 'n': 16, 'trace_an': -2}
  • id: 69143735
    {'hecke_orbit_code': 144115188109417873, 'n': 17, 'trace_an': 0}
  • id: 69143736
    {'hecke_orbit_code': 144115188109417873, 'n': 18, 'trace_an': 0}
  • id: 69143737
    {'hecke_orbit_code': 144115188109417873, 'n': 19, 'trace_an': -20}
  • id: 69143738
    {'hecke_orbit_code': 144115188109417873, 'n': 20, 'trace_an': 0}
  • id: 69143739
    {'hecke_orbit_code': 144115188109417873, 'n': 21, 'trace_an': 0}
  • id: 69143740
    {'hecke_orbit_code': 144115188109417873, 'n': 22, 'trace_an': -14}
  • id: 69143741
    {'hecke_orbit_code': 144115188109417873, 'n': 23, 'trace_an': 0}
  • id: 69143742
    {'hecke_orbit_code': 144115188109417873, 'n': 24, 'trace_an': 0}
  • id: 69143743
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  • id: 69143744
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  • id: 69143745
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  • id: 69143746
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  • id: 69143747
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  • id: 69143748
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  • id: 69143749
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  • id: 69143750
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  • id: 69143751
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  • id: 69143752
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  • id: 69143753
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  • id: 69143754
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  • id: 69143755
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  • id: 69143756
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  • id: 69143757
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  • id: 69143758
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  • id: 69143759
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  • id: 69143760
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  • id: 69143761
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  • id: 69143762
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  • id: 69143763
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  • id: 69143764
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  • id: 69143765
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  • id: 69143766
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  • id: 69143767
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  • id: 69143768
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  • id: 69143769
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  • id: 69143770
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  • id: 69143771
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  • id: 69143772
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  • id: 69143773
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  • id: 69143774
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  • id: 69143775
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  • id: 69143776
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  • id: 69143777
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  • id: 69143778
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  • id: 69143779
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  • id: 69143780
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  • id: 69143781
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  • id: 69143782
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  • id: 69143783
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  • id: 69143784
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  • id: 69143785
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  • id: 69143786
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  • id: 69143787
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  • id: 69143788
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  • id: 69143789
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  • id: 69143790
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  • id: 69143791
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  • id: 69143792
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  • id: 69143793
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  • id: 69143794
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  • id: 69143795
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  • id: 69143796
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  • id: 69143797
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  • id: 69143798
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  • id: 69143799
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  • id: 69143800
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  • id: 69143801
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  • id: 69143802
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  • id: 69143803
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  • id: 69143804
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  • id: 69143805
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  • id: 69143806
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  • id: 69143807
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  • id: 69143808
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  • id: 69143809
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  • id: 69143810
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  • id: 69143811
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  • id: 69143812
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  • id: 69143813
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  • id: 69143814
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  • id: 69143815
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  • id: 69143816
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  • id: 69143817
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  • id: 69143818
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  • id: 69143819
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  • id: 69143820
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  • id: 69143821
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  • id: 69143822
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  • id: 69143823
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  • id: 69143824
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  • id: 69143825
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  • id: 69143826
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  • id: 69143827
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  • id: 69143828
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  • id: 69143829
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  • id: 69143830
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  • id: 69143831
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  • id: 69143832
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  • id: 69143833
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  • id: 69143834
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  • id: 69143835
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  • id: 69143836
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  • id: 69143837
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  • id: 69143838
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  • id: 69143839
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  • id: 69143840
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  • id: 69143841
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  • id: 69143842
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  • id: 69143843
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  • id: 69143844
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  • id: 69143845
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  • id: 69143846
    {'hecke_orbit_code': 144115188109417873, 'n': 227, 'trace_an': 0}
  • id: 69143847
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  • id: 69143848
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  • id: 69143849
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  • id: 69143850
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  • id: 69143851
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  • id: 69143852
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  • id: 69143853
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  • id: 69143854
    {'hecke_orbit_code': 144115188109417873, 'n': 257, 'trace_an': 0}
  • id: 69143855
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  • id: 69143856
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  • id: 69143857
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  • id: 69143858
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  • id: 69143859
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  • id: 69143860
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  • id: 69143861
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  • id: 69143862
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  • id: 69143863
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  • id: 69143864
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  • id: 69143865
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  • id: 69143866
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  • id: 69143867
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  • id: 69143868
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  • id: 69143869
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  • id: 69143870
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  • id: 69143871
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  • id: 69143872
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  • id: 69143873
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  • id: 69143874
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  • id: 69143875
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  • id: 69143876
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  • id: 69143877
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  • id: 69143878
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  • id: 69143879
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  • id: 69143880
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  • id: 69143881
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  • id: 69143882
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  • id: 69143883
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  • id: 69143884
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  • id: 69143885
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  • id: 69143886
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  • id: 69143887
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  • id: 69143888
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  • id: 69143889
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  • id: 69143890
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  • id: 69143891
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  • id: 69143892
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  • id: 69143893
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  • id: 69143894
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  • id: 69143895
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  • id: 69143896
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  • id: 69143897
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  • id: 69143898
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  • id: 69143899
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  • id: 69143900
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  • id: 69143901
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  • id: 69143902
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  • id: 69143903
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  • id: 69143904
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  • id: 69143905
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  • id: 69143906
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  • id: 69143907
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  • id: 69143908
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  • id: 69143909
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  • id: 69143910
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  • id: 69143911
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  • id: 69143912
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  • id: 69143913
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  • id: 69143914
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  • id: 69143915
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  • id: 69143916
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  • id: 69143917
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  • id: 69143918
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  • id: 69143919
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  • id: 69143920
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  • id: 69143921
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  • id: 69143922
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  • id: 69143923
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  • id: 69143924
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  • id: 69143925
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  • id: 69143926
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  • id: 69143927
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  • id: 69143928
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  • id: 69143929
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  • id: 69143930
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  • id: 69143931
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  • id: 69143932
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  • id: 69143933
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  • id: 69143934
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  • id: 69143935
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  • id: 69143936
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  • id: 69143937
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  • id: 69143938
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  • id: 69143939
    {'hecke_orbit_code': 144115188109417873, 'n': 751, 'trace_an': -94}
  • id: 69143940
    {'hecke_orbit_code': 144115188109417873, 'n': 757, 'trace_an': 76}
  • id: 69143941
    {'hecke_orbit_code': 144115188109417873, 'n': 761, 'trace_an': 0}
  • id: 69143942
    {'hecke_orbit_code': 144115188109417873, 'n': 769, 'trace_an': -90}
  • id: 69143943
    {'hecke_orbit_code': 144115188109417873, 'n': 773, 'trace_an': 0}
  • id: 69143944
    {'hecke_orbit_code': 144115188109417873, 'n': 787, 'trace_an': -14}
  • id: 69143945
    {'hecke_orbit_code': 144115188109417873, 'n': 797, 'trace_an': 0}
  • id: 69143946
    {'hecke_orbit_code': 144115188109417873, 'n': 809, 'trace_an': 0}
  • id: 69143947
    {'hecke_orbit_code': 144115188109417873, 'n': 811, 'trace_an': 200}
  • id: 69143948
    {'hecke_orbit_code': 144115188109417873, 'n': 821, 'trace_an': 0}
  • id: 69143949
    {'hecke_orbit_code': 144115188109417873, 'n': 823, 'trace_an': 102}
  • id: 69143950
    {'hecke_orbit_code': 144115188109417873, 'n': 827, 'trace_an': 0}
  • id: 69143951
    {'hecke_orbit_code': 144115188109417873, 'n': 829, 'trace_an': 44}
  • id: 69143952
    {'hecke_orbit_code': 144115188109417873, 'n': 839, 'trace_an': 0}
  • id: 69143953
    {'hecke_orbit_code': 144115188109417873, 'n': 841, 'trace_an': 0}
  • id: 69143954
    {'hecke_orbit_code': 144115188109417873, 'n': 853, 'trace_an': -202}
  • id: 69143955
    {'hecke_orbit_code': 144115188109417873, 'n': 857, 'trace_an': 0}
  • id: 69143956
    {'hecke_orbit_code': 144115188109417873, 'n': 859, 'trace_an': -102}
  • id: 69143957
    {'hecke_orbit_code': 144115188109417873, 'n': 863, 'trace_an': 0}
  • id: 69143958
    {'hecke_orbit_code': 144115188109417873, 'n': 877, 'trace_an': 14}
  • id: 69143959
    {'hecke_orbit_code': 144115188109417873, 'n': 881, 'trace_an': 0}
  • id: 69143960
    {'hecke_orbit_code': 144115188109417873, 'n': 883, 'trace_an': -10}
  • id: 69143961
    {'hecke_orbit_code': 144115188109417873, 'n': 887, 'trace_an': 0}
  • id: 69143962
    {'hecke_orbit_code': 144115188109417873, 'n': 907, 'trace_an': 74}
  • id: 69143963
    {'hecke_orbit_code': 144115188109417873, 'n': 911, 'trace_an': 0}
  • id: 69143964
    {'hecke_orbit_code': 144115188109417873, 'n': 919, 'trace_an': 38}
  • id: 69143965
    {'hecke_orbit_code': 144115188109417873, 'n': 929, 'trace_an': 0}
  • id: 69143966
    {'hecke_orbit_code': 144115188109417873, 'n': 937, 'trace_an': -156}
  • id: 69143967
    {'hecke_orbit_code': 144115188109417873, 'n': 941, 'trace_an': 0}
  • id: 69143968
    {'hecke_orbit_code': 144115188109417873, 'n': 947, 'trace_an': 0}
  • id: 69143969
    {'hecke_orbit_code': 144115188109417873, 'n': 953, 'trace_an': 0}
  • id: 69143970
    {'hecke_orbit_code': 144115188109417873, 'n': 961, 'trace_an': -158}
  • id: 69143971
    {'hecke_orbit_code': 144115188109417873, 'n': 967, 'trace_an': 36}
  • id: 69143972
    {'hecke_orbit_code': 144115188109417873, 'n': 971, 'trace_an': 0}
  • id: 69143973
    {'hecke_orbit_code': 144115188109417873, 'n': 977, 'trace_an': 0}
  • id: 69143974
    {'hecke_orbit_code': 144115188109417873, 'n': 983, 'trace_an': 0}
  • id: 69143975
    {'hecke_orbit_code': 144115188109417873, 'n': 991, 'trace_an': 40}
  • id: 69143976
    {'hecke_orbit_code': 144115188109417873, 'n': 997, 'trace_an': 210}