Newform data - 819.2.o.i

Formats: - HTML - YAML - JSON - 2026-02-25T01:18:09.367210

• 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': 3276, 'analytic_conductor': 6.539747925542864, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 3, 'char_parity': 1, 'char_values': [819, 3, [92, 703, 379], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 568, 'dim': 12, 'field_disc': 92032997710270464, 'field_disc_factorization': [[2, 12], [3, 6], [419, 4]], 'field_poly': [9, 0, -39, 0, 145, 0, -98, 0, 51, 0, -8, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [81, 0, 171, 0, 271, 0, 172, 0, 81, 0, 10, 0, 1]], [11, [6561, 0, 9477, 0, 11745, 0, 2646, 0, 459, 0, 24, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029759125193523, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 81, 'hecke_ring_index_factorization': [[3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 13, 3, 1, 3, 0], [1, 1, 39, 9, -1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '819.2.o.i', 'level': 819, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 13], 'level_radical': 273, 'minimal_twist': '819.2.o.i', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{7}q^{2}+(-1-\\beta _{3}+\\beta _{4})q^{4}+(\\beta _{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '819.2.o', 'trace_display': [0, 0, 0, -6], 'trace_hash': 712514535554629845, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.342', 'prec': 20}, {'__RealLiteral__': 0, 'data': '9.816', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1056.630', 'prec': 27}, {'__RealLiteral__': 0, 'data': '1978.513', 'prec': 27}, {'__RealLiteral__': 0, 'data': '166358.317', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.510', 'prec': 17}, 'traces': [12, 0, 0, -8, 0, 0, -6, 0, 0, 22, 0, 0, 8, 0, 0, -28, 0, 0, 2, 0, 0, 18, 0, 0, 52, 0, 0, -8, 0, 0, 60, 0, 0, -40, 0, 0, -8, 0, 0, -116, 0, 0, -14, 0, 0, 14, 0, 0, -6, 0, 0, -32, 0, 0, 12, 0, 0, -40, 0, 0, 14, 0, 0, 212, 0, 0, -46, 0, 0, -44, 0, 0, -8, 0, 0, -28, 0, 0, 52, 0, 0, 40, 0, 0, -22, 0, 0, 30, 0, 0, -4, 0, 0, 34, 0, 0, -66, 0, 0, -50, 0, 0, -20, 0, 0, 64, 0, 0, 28, 0, 0, 56, 0, 0, 26, 0, 0, -44, 0, 0, 18, 0, 0, -82, 0, 0, -24, 0, 0, -82, 0, 0, 2, 0, 0, 44, 0, 0, -42, 0, 0, 92, 0, 0, -10, 0, 0, 44, 0, 0, 40, 0, 0, 18, 0, 0, -68, 0, 0, 156, 0, 0, -22, 0, 0, -54, 0, 0, -24, 0, 0, 8, 0, 0, -26, 0, 0, -92, 0, 0, -76, 0, 0, -124, 0, 0, 36, 0, 0, -180, 0, 0, -82, 0, 0, 16, 0, 0, -32, 0, 0, -18, 0, 0, -44, 0, 0, 282, 0, 0, 58, 0, 0, -74, 0, 0, -30, 0, 0, 228, 0, 0, -42, 0, 0, -92, 0, 0, 52, 0, 0, -214, 0, 0, -8, 0, 0, 20, 0, 0, -110, 0, 0, 164, 0, 0, 104, 0, 0, 34, 0, 0, -54, 0, 0, -104, 0, 0, 16, 0, 0, -142, 0, 0, 160, 0, 0, 260, 0, 0, -24, 0, 0, -136, 0, 0, 88, 0, 0, 58, 0, 0, -58, 0, 0, 90, 0, 0, 82, 0, 0, -136, 0, 0, -110, 0, 0, 108, 0, 0, -14, 0, 0, 32, 0, 0, -4, 0, 0, 134, 0, 0, -120, 0, 0, -130, 0, 0, 90, 0, 0, 14, 0, 0, -14, 0, 0, 88, 0, 0, 14, 0, 0, 92, 0, 0, 68, 0, 0, -102, 0, 0, 12, 0, 0, 12, 0, 0, 66, 0, 0, -336, 0, 0, 146, 0, 0, 12, 0, 0, -20, 0, 0, 94, 0, 0, 50, 0, 0, -44, 0, 0, -10, 0, 0, 160, 0, 0, -68, 0, 0, 140, 0, 0, -24, 0, 0, -46, 0, 0, 28, 0, 0, -14, 0, 0, 32, 0, 0, -134, 0, 0, 16, 0, 0, -40, 0, 0, -6, 0, 0, 128, 0, 0, 72, 0, 0, -42, 0, 0, 188, 0, 0, -572, 0, 0, 14, 0, 0, -152, 0, 0, 10, 0, 0, 50, 0, 0, 34, 0, 0, 46, 0, 0, 28, 0, 0, -106, 0, 0, -36, 0, 0, 220, 0, 0, -42, 0, 0, -84, 0, 0, -4, 0, 0, -8, 0, 0, 92, 0, 0, -68, 0, 0, -58, 0, 0, 24, 0, 0, 102, 0, 0, 70, 0, 0, 30, 0, 0, 22, 0, 0, -80, 0, 0, -284, 0, 0, -32, 0, 0, -164, 0, 0, -66, 0, 0, 332, 0, 0, 4, 0, 0, 130, 0, 0, -72, 0, 0, 164, 0, 0, 78, 0, 0, -78, 0, 0, -68, 0, 0, 56, 0, 0, -14, 0, 0, -148, 0, 0, 84, 0, 0, 162, 0, 0, 152, 0, 0, 60, 0, 0, -26, 0, 0, 158, 0, 0, 120, 0, 0, 118, 0, 0, -92, 0, 0, -130, 0, 0, 360, 0, 0, 40, 0, 0, 196, 0, 0, -768, 0, 0, -48, 0, 0, -52, 0, 0, 46, 0, 0, -156, 0, 0, -22, 0, 0, -44, 0, 0, 12, 0, 0, -172, 0, 0, -104, 0, 0, 588, 0, 0, -36, 0, 0, -60, 0, 0, -24, 0, 0, 100, 0, 0, -268, 0, 0, -142, 0, 0, 48, 0, 0, -40, 0, 0, -4, 0, 0, 440, 0, 0, 30, 0, 0, 24, 0, 0, -132, 0, 0, 116, 0, 0, -376, 0, 0, -68, 0, 0, -82, 0, 0, 180, 0, 0, -44, 0, 0, 168, 0, 0, -50, 0, 0, 328, 0, 0, -66, 0, 0, 150, 0, 0, -148, 0, 0, -132, 0, 0, -90, 0, 0, 160, 0, 0, 80, 0, 0, -50, 0, 0, -344, 0, 0, 102, 0, 0, 44, 0, 0, -38, 0, 0, 204, 0, 0, 28, 0, 0, 10, 0, 0, 200, 0, 0, 116, 0, 0, 106, 0, 0, -224, 0, 0, 0, 0, 0, -166, 0, 0, -128, 0, 0, 72, 0, 0, -66, 0, 0, 22, 0, 0, -314, 0, 0, -146, 0, 0, -102, 0, 0, -14, 0, 0, 0, 0, 0, -104, 0, 0, -64, 0, 0, 224, 0, 0, 8, 0, 0, 108, 0, 0, -28, 0, 0, -146, 0, 0, 70, 0, 0, -40, 0, 0, -16, 0, 0, -34, 0, 0, 124, 0, 0, -52, 0, 0, -156, 0, 0, 128, 0, 0, -240, 0, 0, -98, 0, 0, 408, 0, 0, -78, 0, 0, 22, 0, 0, -36, 0, 0, -222, 0, 0, 80, 0, 0, 58, 0, 0, -140, 0, 0, -40, 0, 0, 18, 0, 0, -204, 0, 0, -64, 0, 0, -134, 0, 0, -324, 0, 0, -22, 0, 0, -54, 0, 0, -82, 0, 0, 176, 0, 0, -66, 0, 0, 98, 0, 0, -270, 0, 0, -252, 0, 0, 4, 0, 0, 48, 0, 0, 464, 0, 0, -150, 0, 0, -76, 0, 0, -64, 0, 0, 256, 0, 0, 44, 0, 0, 92, 0, 0, 144, 0, 0, -100, 0, 0, -22, 0, 0, 292, 0, 0, 50, 0, 0, 1008, 0, 0, -4, 0, 0, 304, 0, 0, 200, 0, 0, -60, 0, 0, -28, 0, 0, -36, 0, 0, -126, 0, 0, 44, 0, 0, 290, 0, 0, -102, 0, 0, 48, 0, 0, -250, 0, 0, 116, 0, 0, -436, 0, 0, -42, 0, 0, -808, 0, 0, 156, 0, 0, -88, 0, 0, 22, 0, 0, 86, 0, 0, 98, 0, 0, -46, 0, 0, -8, 0, 0, 160], '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, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -3, 1, -1, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, -3, 3, 0, 0, -1, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0], [0, 0, -5, 0, 0, 0, -1, 5, 0, 1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -1, 0, 3, -1, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 0, 0, -1, 0, 0, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 1, -8, 0, -1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 1, 1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, -1, 1, 0, 0, -3, 0, 0, 0], [0, 0, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-9, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -2, 0, -2, -1, 0, 0, 0, -2, 0, 0, 0], [0, 0, 3, 0, 0, 0, -1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 0, 8, -3, 3, 0, 0, -1, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -3, -2, 2, 0, 0, 1, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-6, 3, 0, -6, 5, 0, 0, 0, 3, 0, 0, 0], [0, 0, -1, 0, 0, 0, 3, 1, 0, -3, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 0, 1, -2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [16, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0], [0, 0, -3, 0, 0, 0, -3, 1, 0, 2, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, -2, 2, 0, 0, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, -3, -2, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -2, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 3, -2, 0, -3, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, -1, 1, 0, 0, -2, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, -5, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -13, 0, -2, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, -2, 0, 0, 0, 0, 0, 0, 0], [0, 0, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, 0, -3, 1, 0, 0, 0, -1, 0, 0, 0], [0, 0, -1, 0, 0, 0, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -3, 4, -4, 0, 0, -2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0], [0, 0, -5, 0, 0, 0, -2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -6, -1, 1, 0, 0, 0, 0, 0, 0], [0, 0, -5, 0, 0, 0, -1, 5, 0, 1, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-11, -1, 0, -11, -1, 0, 0, 0, -1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-7, 1, 0, -7, 5, 0, 0, 0, 1, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, -2, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, -1], [5, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, -1, 1, 0, 0, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0], [-2, -2, 0, -2, -1, 0, 0, 0, -2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 1, 0, 0, 0, -1, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, -1, 0, 0, 0, 3, 1, 0, -3, 1, 1], [1, 2, 0, 1, -2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 8, -2, 2, 0, 0, -3, 0, 0, 0], [0, 0, 2, 0, 0, 0, -3, -2, 0, 3, 0, 0], [-1, -2, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0], [5, -5, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0], [0, 0, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 2, 0, 1], [-11, -1, 0, -11, -1, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, -1], [-1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 3, 0, 0], [2, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 0, 0, 1, 2, 0, -1, -1, -1], [0, 0, 0, 2, -1, 1, 0, 0, 5, 0, 0, 0], [0, 0, -7, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, -3, 0, 0, 0, 2, 3, 0, -2, -1, -1], [-8, -1, 0, -8, -4, 0, 0, 0, -1, 0, 0, 0], [0, 0, 3, 0, 0, 0, -1, -3, 0, 1, -2, -2], [2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0], [-7, 1, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0], [-5, 2, 0, -5, -2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -5, 0, -6, 0, 1], [0, 0, 1, 0, 0, 0, 1, -1, 0, -1, -3, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1], [-4, -6, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, -7, -3, 0, 7, -1, -1], [0, 0, 0, 14, 3, -3, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -4], [-5, -2, 0, -5, -1, 0, 0, 0, -2, 0, 0, 0], [0, 0, 0, -10, -1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, -2, 2, 0, 0, 4, 0, 0, 0], [0, 0, 6, 0, 0, 0, -1, -6, 0, 1, -3, -3], [2, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, -8, 0, 0, 0, -1, 0], [0, 0, 2, 0, 0, 0, 4, 0, 0, 0, -2, 0], [-17, -3, 0, -17, 1, 0, 0, 0, -3, 0, 0, 0], [0, 0, -4, 0, 0, 0, 3, 4, 0, -3, 1, 1], [0, 0, 0, 0, 0, 0, 0, -6, 0, 1, 0, 2], [0, 0, 0, 0, 0, 0, 0, 4, 0, -3, 0, 2], [0, 0, -4, 0, 0, 0, 3, 4, 0, -3, 3, 3], [0, 0, 0, 5, -4, 4, 0, 0, -7, 0, 0, 0], [16, 0, 0, 16, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 3, 0, 0, 0, 1, 0], [0, 0, 0, 8, -2, 2, 0, 0, 3, 0, 0, 0], [0, 0, -1, 0, 0, 0, 3, 1, 0, -3, 0, 0], [2, -5, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 4, 0, 0, 0, 2, 0], [-10, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 10, 0, 0, 0, 0, 0], [4, -11, 0, 4, -6, 0, 0, 0, -11, 0, 0, 0], [5, 7, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, -2, -4, 0, 2, -1, -1], [0, 0, 0, -10, 2, -2, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -4, 0, 5, 0, 3], [0, 0, 2, 0, 0, 0, 10, 0, 0, 0, 2, 0], [0, 0, 0, -10, -7, 7, 0, 0, -2, 0, 0, 0], [-2, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 14, 4, -4, 0, 0, -4, 0, 0, 0], [0, 0, 0, 0, 0, 0, -4, 0, 0, 4, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [4, 3, 0, 4, -1, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -6, 0, -8, 0, 5], [-2, 5, 0, -2, 2, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -3, 0, -5, 0, 2], [17, -1, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, -3], [1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, -4, 0, 0, 0, 0, -5, 0, 0, 0], [0, 0, 1, 0, 0, 0, 2, 0, 0, 0, -3, 0], [0, 0, -3, 0, 0, 0, -7, 3, 0, 7, 2, 2], [0, 0, 0, 8, -1, 1, 0, 0, -4, 0, 0, 0], [0, 0, 8, 0, 0, 0, 9, -8, 0, -9, 1, 1], [2, -10, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0], [0, 0, 16, 0, 0, 0, 2, 0, 0, 0, -3, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 13, 0, -2], [4, -1, 0, 4, -4, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, -6, 0, 1], [-1, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, -10, -3, 0, 10, -3, -3], [0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 2], [0, 0, 2, 0, 0, 0, -8, 0, 0, 0, -3, 0], [0, 0, 0, -13, 1, -1, 0, 0, 1, 0, 0, 0], [8, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [11, 3, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -2, 0, 6, 0, -1], [0, 0, -3, 0, 0, 0, 2, 3, 0, -2, -4, -4], [0, 0, 0, 0, 0, 0, 0, -5, 0, -9, 0, 1], [29, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [14, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 16, 0, 3, 0, 1], [0, 0, -2, 0, 0, 0, -10, 0, 0, 0, -5, 0], [0, 0, -7, 0, 0, 0, 4, 0, 0, 0, 3, 0], [0, 0, 0, -4, 1, -1, 0, 0, 7, 0, 0, 0], [-17, 7, 0, -17, 8, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 8, 9, -9, 0, 0, 3, 0, 0, 0], [0, 0, 9, 0, 0, 0, -7, -9, 0, 7, 0, 0], [2, -4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [7, 1, 0, 7, -2, 0, 0, 0, 1, 0, 0, 0], [0, 0, -9, 0, 0, 0, -1, 9, 0, 1, 3, 3], [1, 2, 0, 1, -10, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -6, 0, -2, 0, -7], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 3], [0, 0, -2, 0, 0, 0, -5, 2, 0, 5, 1, 1], [0, 0, 0, 17, -1, 1, 0, 0, -11, 0, 0, 0], [0, 0, 0, 8, -1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, -8, 0, 0, 0, -1, 0], [0, 0, 5, 0, 0, 0, 3, -5, 0, -3, -5, -5], [0, 0, 0, 14, -3, 3, 0, 0, 0, 0, 0, 0], [0, 0, 18, 0, 0, 0, -6, 0, 0, 0, -1, 0], [7, -4, 0, 7, -5, 0, 0, 0, -4, 0, 0, 0], [0, 0, -10, 0, 0, 0, -15, 10, 0, 15, -4, -4], [14, -1, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0], [-19, 5, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 26, 1, -1, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 3], [0, 0, 0, -4, -10, 10, 0, 0, -9, 0, 0, 0], [0, 0, 0, 26, -3, 3, 0, 0, -8, 0, 0, 0], [0, 0, -16, 0, 0, 0, 3, 16, 0, -3, 5, 5], [0, 0, 0, 14, 2, -2, 0, 0, 12, 0, 0, 0], [0, 0, 1, 0, 0, 0, -8, -1, 0, 8, 4, 4], [-26, 7, 0, -26, 2, 0, 0, 0, 7, 0, 0, 0], [0, 0, -8, 0, 0, 0, 1, 8, 0, -1, -2, -2], [0, 0, 0, 0, 0, 0, 0, 15, 0, 10, 0, -2], [11, 4, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -4, 0, 2, 0, 4], [-17, 8, 0, -17, -4, 0, 0, 0, 8, 0, 0, 0], [0, 0, -5, 0, 0, 0, 8, 0, 0, 0, 2, 0], [0, 0, 0, 8, 6, -6, 0, 0, 0, 0, 0, 0], [0, 0, -8, 0, 0, 0, 4, 8, 0, -4, -1, -1], [-7, 10, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, -2, 0, 0, 0, 3, 0], [-25, -5, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 13, 0, 0, 0, -7, 0, 0, 0, 3, 0], [16, 7, 0, 16, 6, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 1], [-19, -3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, -6, 0, -8], [0, 0, 0, -4, 9, -9, 0, 0, -1, 0, 0, 0], [0, 0, -11, 0, 0, 0, -4, 0, 0, 0, -1, 0], [-5, -7, 0, -5, -11, 0, 0, 0, -7, 0, 0, 0], [0, 0, -12, 0, 0, 0, 5, 12, 0, -5, 2, 2], [14, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, -5, 0, 3], [0, 0, 5, 0, 0, 0, 6, -5, 0, -6, 0, 0], [11, -10, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 8, -9, 0, -8, 7, 7], [0, 0, 0, 0, 0, 0, 0, -3, 0, 7, 0, -1], [0, 0, -13, 0, 0, 0, 4, 0, 0, 0, 3, 0], [0, 0, 0, -16, 8, -8, 0, 0, 7, 0, 0, 0], [4, -10, 0, 4, 6, 0, 0, 0, -10, 0, 0, 0]], 'char_orbit_index': 15, 'field_poly': [9, 0, -39, 0, 145, 0, -98, 0, 51, 0, -8, 0, 1], 'hecke_orbit_code': 36029759125193523, 'hecke_ring_character_values': [[92, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [703, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [379, [-1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 7083, 7083, 7083, 787, 7083, 2361, 2361, 2361, 7083, 2361, 7083], 'hecke_ring_inverse_denominators': [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, -3, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, -4, 0, 0, 0, -5, 8, 0, 10, 1, 2], [-15, 6, 0, -15, -1, 0, 0, 0, 6, 0, 0, 0], [0, 0, -38, 0, 0, 0, -58, 19, 0, 29, 14, 7], [-84, 35, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0], [0, 0, -103, 0, 0, 0, -170, -103, 0, -170, 43, -43], [0, 0, 0, 486, 51, -51, 0, 0, -205, 0, 0, 0], [0, 0, 589, 0, 0, 0, 998, -1178, 0, -1996, -256, -512], [2841, -1203, 0, 2841, 307, 0, 0, 0, -1203, 0, 0, 0], [0, 0, 6860, 0, 0, 0, 11722, -3430, 0, -5861, -3020, -1510]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [19260, 0, 312, 0, -1160, 0, 2601, 0, -408, 0, 64, 0], [0, -21690, 0, 43956, 0, -30968, 0, 11292, 0, -1725, 0, 178], [1224, 0, -30885, 0, 19057, 0, -10863, 0, 1704, 0, -221, 0], [1443, 0, -5365, 0, 4792, 0, -1887, 0, 296, 0, -31, 0], [9891, 0, 1365, 0, -5075, 0, 10494, 0, -1785, 0, 280, 0], [0, 12360, 0, -24947, 0, 16675, 0, -7385, 0, 1143, 0, -133], [0, -2487, 0, -15211, 0, 12401, 0, -8129, 0, 1306, 0, -174], [1224, 0, -28524, 0, 19057, 0, -10863, 0, 1704, 0, -221, 0], [0, 13320, 0, 76518, 0, -56260, 0, 35250, 0, -5622, 0, 743], [0, 31554, 0, -63558, 0, 41311, 0, -20135, 0, 3143, 0, -385], [0, -34767, 0, -193287, 0, 133648, 0, -81303, 0, 12846, 0, -1691]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '819.2.o.i', 'level': 819, 'maxp': 997, '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

  
  {'Nk2': 3276, 'analytic_conductor': 6.539747925542864, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 3, 'char_parity': 1, 'char_values': [819, 3, [92, 703, 379], [3, 3, 2]], 'conrey_index': 568, 'cusp_dim': 208, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 962106229555, 'hecke_orbit_dims': [4, 4, 4, 6, 6, 6, 6, 8, 12, 16], 'label': '819.2.o', 'level': 819, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 240, 'mf_new_dim': 72, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 36, 'sturm_bound': 224, 'trace_bound': 11, 'trace_display': [-2, 0, -8, 0], 'traces': [72, -2, 0, -38, -8, 0, 0, 24, 0, 10, 6, 0, -14, -8, 0, -34, 10, 0, 8, -10, 0, 14, 12, 0, 76, 32, 0, 0, 10, 0, 28, -6, 0, -64, 6, 0, 4, -4, 0, -80, 0, 0, -2, 24, 0, 20, 20, 0, -36, 50, 0, 22, -32, 0, 6, 12, 0, -50, 22, 0, 12, -40, 0, 80, 10, 0, -20, -38, 0, -48, -8, 0, -8, 12, 0, -26, -24, 0, 8, 30, 0, 16, -124, 0, 14, -128, 0, 18, -16, 0, -14, -16, 0, -36, 22, 0, -26, -2, 0, -56, -12, 0, -44, 66, 0, 74, 2, 0, 64, -26, 0, 32, 20, 0, 48, -40, 0, 104, -2, 0, -82, 80, 0, -34, 156, 0, 2, -14, 0, -36, 60, 0, -6, 38, 0, 118, -26, 0, -14, 26, 0, -40, 32, 0, -30, -32, 0, -88, -18, 0, -8, -56, 0, -8, -44, 0, -52, 0, 0, 114, 16, 0, 12, -184, 0, -56, 22, 0, -12, 116, 0, 38, -14, 0, -4, -42, 0, -2, -8, 0, -144, -38, 0, 44, -56, 0, 88, 14, 0, -168, 30, 0, 12, -44, 0, 76, -34, 0, 2, -36, 0, 38, -8, 0, -48, -104, 0, 92, -116, 0, -4, 18, 0, -54, 70, 0, -22, 46, 0, -16, 28, 0, 18, 48, 0, 124, -110, 0, 160, -44, 0, -178, 116, 0, 140, -6, 0, 2, 32, 0, -98, 148, 0, 184, 4, 0, 102, 276, 0, 8, -108, 0, -56, -60, 0, -134, 34, 0, 40, -164, 0, -178, 80, 0, -16, 68, 0, 356, -22, 0, 42, 160, 0, -52, -18, 0, 120, 156, 0, 66, -72, 0, -44, -72, 0, -42, -56, 0, 48, -14, 0, -112, 8, 0, -46, 28, 0, -108, -124, 0, 20, 50, 0, 164, 40, 0, -380, 12, 0, 78, 68, 0, -48, 110, 0, 8, -48, 0, 6, -216, 0, -20, -14, 0, -168, -152, 0, -24, 14, 0, -14, 178, 0, 84, -100, 0, -108, -62, 0, 52, 0, 0, 0, 210, 0, 184, 12, 0, -58, -16, 0, -168, 36, 0, 36, 44, 0, 102, -236, 0, 98, 40, 0, 128, -72, 0, -48, -152, 0, 120, -20, 0, 110, -94, 0, 244, -40, 0, -34, -30, 0, -108, 6, 0, 48, -12, 0, -60, 16, 0, 192, -12, 0, -62, -8, 0, -76, 336, 0, -222, -30, 0, 4, 148, 0, -60, 0, 0, 44, -12, 0, 190, 14, 0, -92, 134, 0, 214, 58, 0, -120, -26, 0, -776, -40, 0, -16, -112, 0, -400, 66, 0, 134, 28, 0, 46, -16, 0, -14, 66, 0, 30, 264, 0, -54, 138, 0, -104, -132, 0, 72, -6, 0, 64, -24, 0, -60, -224, 0, -416, 52, 0, 152, 50, 0, 34, 12, 0, 80, -230, 0, -222, -248, 0, -26, 32, 0, 118, -96, 0, 128, -236, 0, -112, 92, 0, 86, -88, 0, 10, 98, 0, -48, -34, 0, -228, 28, 0, -196, -390, 0, 312, 8, 0, 98, 136, 0, 548, -26, 0, 0, 0, 0, 18, 428, 0, 96, 40, 0, 6, 272, 0, 32, -96, 0, -222, 112, 0, -28, 102, 0, -44, -76, 0, -70, 120, 0, 180, 6, 0, -36, -116, 0, -26, 64, 0, 208, -68, 0, 232, 164, 0, -72, 124, 0, 164, 154, 0, -54, -136, 0, 60, 88, 0, -60, 68, 0, 0, -20, 0, 284, 34, 0, 16, 192, 0, 212, 148, 0, -280, 10, 0, 102, 200, 0, -80, 34, 0, -22, 76, 0, -96, -260, 0, -20, 212, 0, -68, -420, 0, -44, -24, 0, 34, 178, 0, -30, -130, 0, 456, 4, 0, 106, -70, 0, -48, 240, 0, 216, -28, 0, 78, -84, 0, -488, 252, 0, -296, -208, 0, 18, -336, 0, -150, -150, 0, 4, -376, 0, 522, -42, 0, -34, -52, 0, 2, 36, 0, -24, 184, 0, 440, -178, 0, -200, -96, 0, -172, 136, 0, 64, -172, 0, 4, -80, 0, -76, -60, 0, 190, 256, 0, -28, -138, 0, 4, 320, 0, -44, 26, 0, 338, -36, 0, -14, 4, 0, 128, 262, 0, 32, -22, 0, 248, -152, 0, 72, 116, 0, 4, -64, 0, -304, 34, 0, 86, -12, 0, 110, -464, 0, -92, 28, 0, 324, 316, 0, -12, -10, 0, -22, -182, 0, 176, -106, 0, -4, -90, 0, 140, -246, 0, -92, -132, 0, 280, -46, 0, -124, -72, 0, -32, 78, 0, -14, -72, 0, -242, 56, 0, -240, -248, 0, -522, -264, 0, -176, 54, 0, -114, -106, 0, -32, 124, 0, -556, 176, 0, -210, 118, 0, -224, -306, 0, 120, 62, 0, -264, -176, 0, 168, -140, 0, -34, 208, 0, -132, 424, 0, 80, 56, 0, -208, 616, 0, -30, -120, 0, -152, 116, 0, 42, 4, 0, 80, 44, 0, -180, 52, 0, 96, 152, 0, 304, -120, 0, -50, -332, 0, 872, -84, 0, -128, -84, 0, 74, 140, 0, 264, 166, 0, -318, -20, 0, -178, 144, 0, 256, 0, 0, -106, 140, 0, -292, -80, 0, 80, 202, 0, -476, 40, 0, -652, 36, 0, -54, 292, 0, -544, 50, 0, -156, 24, 0, -6, -56, 0, -100, 108, 0, 216, -312, 0, 0, 42, 0, 172, 178, 0, -294, -94, 0, 256, -8, 0, -204, -76, 0, -72, 232, 0, 568, 118, 0, -4, -88, 0, -200, 108, 0, 106, -392, 0, 44, -296, 0, 40, -70, 0, 52, -508, 0, 280, -184, 0, -8, -52, 0, 56, -124, 0, -284, 116, 0, 24, -30, 0, 1120, 90, 0, -16, 48, 0, 412, -436, 0, 260, -88, 0, -152, -76, 0, 84, 592, 0, -198, 42, 0, -176, 28, 0, -10, 4, 0, 274, -34, 0, -526, 80, 0, 128, -160, 0, -428, 56, 0, 112, -114, 0, -244, -78, 0, -64, -352, 0, -808, -256, 0, 258, 20, 0, 152, -476, 0, 150, 154, 0, -216, 392, 0, -10, 194, 0, -80, -42, 0, -54, 0, 0, 300], '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: 517158
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 15, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '819.2.o.i', 'source_level': 819, 'target_char_orbit': 15, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '819.2.o.i', 'target_level': 819, 'twist_class_label': '819.2.o.i', 'twist_class_level': 819, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
  • id: 517159
    {'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '819.2.o.i', 'source_level': 819, 'target_char_orbit': 15, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '819.2.o.i', 'target_level': 819, 'twist_class_label': '819.2.o.i', 'twist_class_level': 819, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
  • id: 517160
    {'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '819.2.o.i', 'source_level': 819, 'target_char_orbit': 15, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '819.2.o.i', 'target_level': 819, 'twist_class_label': '819.2.o.i', 'twist_class_level': 819, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
  • id: 517161
    {'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '819.2.o.i', 'source_level': 819, 'target_char_orbit': 15, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '819.2.o.i', 'target_level': 819, 'twist_class_label': '819.2.o.i', 'twist_class_level': 819, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1368550
    {'charpoly_factorization': [[[81, 0, 171, 0, 271, 0, 172, 0, 81, 0, 10, 0, 1], 1]], 'hecke_orbit_code': 36029759125193523, 'p': 2}
  • id: 1368551
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 36029759125193523, 'p': 3}
  • id: 1368552
    {'charpoly_factorization': [[[-729, 0, 253, 0, -28, 0, 1], 2]], 'hecke_orbit_code': 36029759125193523, 'p': 5}
  • id: 1368553
    {'charpoly_factorization': [[[1, 1, 1], 6]], 'hecke_orbit_code': 36029759125193523, 'p': 7}
  • id: 1368554
    {'charpoly_factorization': [[[6561, 0, 9477, 0, 11745, 0, 2646, 0, 459, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 36029759125193523, 'p': 11}
  • id: 1368555
    {'charpoly_factorization': [[[2197, -676, 182, -85, 14, -4, 1], 2]], 'hecke_orbit_code': 36029759125193523, 'p': 13}
  • id: 1368556
    {'charpoly_factorization': [[[81, 0, 171, 0, 271, 0, 172, 0, 81, 0, 10, 0, 1], 1]], 'hecke_orbit_code': 36029759125193523, 'p': 17}
  • id: 1368557
    {'charpoly_factorization': [[[1521, 1287, 1050, 111, 34, -1, 1], 2]], 'hecke_orbit_code': 36029759125193523, 'p': 19}
  • id: 1368558
    {'charpoly_factorization': [[[74805201, 0, 18664542, 0, 3766117, 0, 204976, 0, 8451, 0, 103, 0, 1], 1]], 'hecke_orbit_code': 36029759125193523, 'p': 23}
  • id: 1368559
    {'charpoly_factorization': [[[5082121521, 0, 491323788, 0, 36307291, 0, 939466, 0, 17757, 0, 157, 0, 1], 1]], 'hecke_orbit_code': 36029759125193523, 'p': 29}
  • id: 1368560
    {'charpoly_factorization': [[[-41, 60, -15, 1], 4]], 'hecke_orbit_code': 36029759125193523, 'p': 31}
  • id: 1368561
    {'charpoly_factorization': [[[42025, 12505, 4541, 166, 77, 4, 1], 2]], 'hecke_orbit_code': 36029759125193523, 'p': 37}
  • id: 1368562
    {'charpoly_factorization': [[[331776, 0, 175104, 0, 69376, 0, 11008, 0, 1296, 0, 40, 0, 1], 1]], 'hecke_orbit_code': 36029759125193523, 'p': 41}
  • id: 1368563
    {'charpoly_factorization': [[[25, -80, 221, -122, 65, 7, 1], 2]], 'hecke_orbit_code': 36029759125193523, 'p': 43}
  • id: 1368564
    {'charpoly_factorization': [[[-729, 0, 3232, 0, -127, 0, 1], 2]], 'hecke_orbit_code': 36029759125193523, 'p': 47}
  • id: 1368565
    {'charpoly_factorization': [[[-2025, 0, 1183, 0, -175, 0, 1], 2]], 'hecke_orbit_code': 36029759125193523, 'p': 53}
  • id: 1368566
    {'charpoly_factorization': [[[2313441, 0, 5874102, 0, 14612365, 0, 765496, 0, 35739, 0, 199, 0, 1], 1]], 'hecke_orbit_code': 36029759125193523, 'p': 59}
  • id: 1368567
    {'charpoly_factorization': [[[178929, -44415, 13986, -111, 154, -7, 1], 2]], 'hecke_orbit_code': 36029759125193523, 'p': 61}
  • id: 1368568
    {'charpoly_factorization': [[[257049, -45630, 19761, 3084, 439, 23, 1], 2]], 'hecke_orbit_code': 36029759125193523, 'p': 67}
  • id: 1368569
    {'charpoly_factorization': [[[66074188401, 0, 3209770863, 0, 105543565, 0, 1933354, 0, 25929, 0, 196, 0, 1], 1]], 'hecke_orbit_code': 36029759125193523, 'p': 71}
  • id: 1368570
    {'charpoly_factorization': [[[-233, -115, 2, 1], 4]], 'hecke_orbit_code': 36029759125193523, 'p': 73}
  • id: 1368571
    {'charpoly_factorization': [[[2155, -166, -13, 1], 4]], 'hecke_orbit_code': 36029759125193523, 'p': 79}
  • id: 1368572
    {'charpoly_factorization': [[[-59049, 0, 9477, 0, -216, 0, 1], 2]], 'hecke_orbit_code': 36029759125193523, 'p': 83}
  • id: 1368573
    {'charpoly_factorization': [[[903687890625, 0, 32677734375, 0, 832761250, 0, 10714375, 0, 100314, 0, 367, 0, 1], 1]], 'hecke_orbit_code': 36029759125193523, 'p': 89}
  • id: 1368574
    {'charpoly_factorization': [[[1380625, 408900, 82329, 9134, 741, 33, 1], 2]], 'hecke_orbit_code': 36029759125193523, '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': 15, 'hecke_orbit': 9, 'label': '819.2.o.i', 'level': 819, 'portrait': 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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 52226659
    {'hecke_orbit_code': 36029759125193523, 'n': 1, 'trace_an': 12}
  • id: 52226660
    {'hecke_orbit_code': 36029759125193523, 'n': 2, 'trace_an': 0}
  • id: 52226661
    {'hecke_orbit_code': 36029759125193523, 'n': 3, 'trace_an': 0}
  • id: 52226662
    {'hecke_orbit_code': 36029759125193523, 'n': 4, 'trace_an': -8}
  • id: 52226663
    {'hecke_orbit_code': 36029759125193523, 'n': 5, 'trace_an': 0}
  • id: 52226664
    {'hecke_orbit_code': 36029759125193523, 'n': 6, 'trace_an': 0}
  • id: 52226665
    {'hecke_orbit_code': 36029759125193523, 'n': 7, 'trace_an': -6}
  • id: 52226666
    {'hecke_orbit_code': 36029759125193523, 'n': 8, 'trace_an': 0}
  • id: 52226667
    {'hecke_orbit_code': 36029759125193523, 'n': 9, 'trace_an': 0}
  • id: 52226668
    {'hecke_orbit_code': 36029759125193523, 'n': 10, 'trace_an': 22}
  • id: 52226669
    {'hecke_orbit_code': 36029759125193523, 'n': 11, 'trace_an': 0}
  • id: 52226670
    {'hecke_orbit_code': 36029759125193523, 'n': 12, 'trace_an': 0}
  • id: 52226671
    {'hecke_orbit_code': 36029759125193523, 'n': 13, 'trace_an': 8}
  • id: 52226672
    {'hecke_orbit_code': 36029759125193523, 'n': 14, 'trace_an': 0}
  • id: 52226673
    {'hecke_orbit_code': 36029759125193523, 'n': 15, 'trace_an': 0}
  • id: 52226674
    {'hecke_orbit_code': 36029759125193523, 'n': 16, 'trace_an': -28}
  • id: 52226675
    {'hecke_orbit_code': 36029759125193523, 'n': 17, 'trace_an': 0}
  • id: 52226676
    {'hecke_orbit_code': 36029759125193523, 'n': 18, 'trace_an': 0}
  • id: 52226677
    {'hecke_orbit_code': 36029759125193523, 'n': 19, 'trace_an': 2}
  • id: 52226678
    {'hecke_orbit_code': 36029759125193523, 'n': 20, 'trace_an': 0}
  • id: 52226679
    {'hecke_orbit_code': 36029759125193523, 'n': 21, 'trace_an': 0}
  • id: 52226680
    {'hecke_orbit_code': 36029759125193523, 'n': 22, 'trace_an': 18}
  • id: 52226681
    {'hecke_orbit_code': 36029759125193523, 'n': 23, 'trace_an': 0}
  • id: 52226682
    {'hecke_orbit_code': 36029759125193523, 'n': 24, 'trace_an': 0}
  • id: 52226683
    {'hecke_orbit_code': 36029759125193523, 'n': 25, 'trace_an': 52}
  • id: 52226684
    {'hecke_orbit_code': 36029759125193523, 'n': 26, 'trace_an': 0}
  • id: 52226685
    {'hecke_orbit_code': 36029759125193523, 'n': 27, 'trace_an': 0}
  • id: 52226686
    {'hecke_orbit_code': 36029759125193523, 'n': 28, 'trace_an': -8}
  • id: 52226687
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  • id: 52226688
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  • id: 52226689
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  • id: 52226690
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  • id: 52226691
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  • id: 52226692
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  • id: 52226693
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  • id: 52226694
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  • id: 52226695
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  • id: 52226696
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  • id: 52226697
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  • id: 52226698
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  • id: 52226699
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  • id: 52226700
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  • id: 52226701
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  • id: 52226702
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  • id: 52226703
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  • id: 52226704
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  • id: 52226705
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  • id: 52226706
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  • id: 52226707
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  • id: 52226708
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  • id: 52226709
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  • id: 52226710
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  • id: 52226711
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  • id: 52226712
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  • id: 52226713
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  • id: 52226714
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  • id: 52226715
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  • id: 52226716
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  • id: 52226717
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  • id: 52226718
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  • id: 52226719
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  • id: 52226720
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  • id: 52226721
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  • id: 52226722
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  • id: 52226723
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  • id: 52226724
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  • id: 52226725
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  • id: 52226726
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  • id: 52226727
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  • id: 52226728
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  • id: 52226729
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  • id: 52226730
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  • id: 52226731
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  • id: 52226732
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  • id: 52226733
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  • id: 52226734
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  • id: 52226735
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  • id: 52226736
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  • id: 52226737
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  • id: 52226738
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  • id: 52226739
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  • id: 52226740
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  • id: 52226741
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  • id: 52226742
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  • id: 52226743
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  • id: 52226744
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  • id: 52226745
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  • id: 52226746
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  • id: 52226747
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  • id: 52226748
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  • id: 52226749
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  • id: 52226750
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  • id: 52226751
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  • id: 52226752
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  • id: 52226753
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  • id: 52226754
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  • id: 52226755
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  • id: 52226756
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  • id: 52226757
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  • id: 52226758
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  • id: 52226759
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  • id: 52226760
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  • id: 52226761
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  • id: 52226762
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  • id: 52226763
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  • id: 52226764
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  • id: 52226765
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  • id: 52226766
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  • id: 52226767
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  • id: 52226768
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  • id: 52226769
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  • id: 52226770
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  • id: 52226771
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  • id: 52226772
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  • id: 52226773
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  • id: 52226774
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  • id: 52226775
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  • id: 52226776
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  • id: 52226777
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  • id: 52226778
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  • id: 52226779
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  • id: 52226780
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  • id: 52226781
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  • id: 52226782
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  • id: 52226783
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  • id: 52226784
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  • id: 52226785
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  • id: 52226786
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  • id: 52226787
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  • id: 52226788
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  • id: 52226789
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  • id: 52226790
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  • id: 52226791
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  • id: 52226792
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  • id: 52226793
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  • id: 52226794
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  • id: 52226795
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  • id: 52226796
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  • id: 52226797
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  • id: 52226798
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  • id: 52226799
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  • id: 52226800
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  • id: 52226801
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  • id: 52226802
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  • id: 52226803
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  • id: 52226804
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  • id: 52226805
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  • id: 52226806
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  • id: 52226807
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  • id: 52226808
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  • id: 52226809
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  • id: 52226810
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  • id: 52226811
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  • id: 52226812
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  • id: 52226813
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  • id: 52226814
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  • id: 52226815
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  • id: 52226816
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  • id: 52226817
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  • id: 52226818
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  • id: 52226819
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  • id: 52226820
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  • id: 52226821
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  • id: 52226822
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  • id: 52226823
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  • id: 52226824
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  • id: 52226825
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  • id: 52226826
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  • id: 52226827
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  • id: 52226828
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  • id: 52226829
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  • id: 52226830
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  • id: 52226831
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  • id: 52226832
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  • id: 52226833
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  • id: 52226834
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  • id: 52226835
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  • id: 52226836
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  • id: 52226837
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  • id: 52226838
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  • id: 52226839
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  • id: 52226840
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  • id: 52226841
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  • id: 52226842
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  • id: 52226843
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  • id: 52226844
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  • id: 52226845
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  • id: 52226846
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  • id: 52226847
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  • id: 52226848
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  • id: 52226849
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  • id: 52226850
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  • id: 52226851
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  • id: 52226852
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  • id: 52226853
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  • id: 52226854
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  • id: 52226855
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  • id: 52226856
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  • id: 52226857
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  • id: 52226858
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  • id: 52226859
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  • id: 52226860
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  • id: 52226861
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  • id: 52226862
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  • id: 52226863
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  • id: 52226864
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  • id: 52226865
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  • id: 52226866
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  • id: 52226867
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  • id: 52226868
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  • id: 52226869
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  • id: 52226870
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  • id: 52226871
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  • id: 52226872
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  • id: 52226873
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  • id: 52226874
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  • id: 52226875
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  • id: 52226876
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  • id: 52226877
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  • id: 52226878
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  • id: 52226879
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  • id: 52226880
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  • id: 52226881
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  • id: 52226882
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  • id: 52226883
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  • id: 52226884
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  • id: 52226885
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  • id: 52226886
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  • id: 52226887
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  • id: 52226888
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  • id: 52226889
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  • id: 52226890
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  • id: 52226891
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  • id: 52226892
    {'hecke_orbit_code': 36029759125193523, 'n': 839, 'trace_an': 0}
  • id: 52226893
    {'hecke_orbit_code': 36029759125193523, 'n': 841, 'trace_an': -140}
  • id: 52226894
    {'hecke_orbit_code': 36029759125193523, 'n': 853, 'trace_an': -64}
  • id: 52226895
    {'hecke_orbit_code': 36029759125193523, 'n': 857, 'trace_an': 0}
  • id: 52226896
    {'hecke_orbit_code': 36029759125193523, 'n': 859, 'trace_an': -324}
  • id: 52226897
    {'hecke_orbit_code': 36029759125193523, 'n': 863, 'trace_an': 0}
  • id: 52226898
    {'hecke_orbit_code': 36029759125193523, 'n': 877, 'trace_an': 98}
  • id: 52226899
    {'hecke_orbit_code': 36029759125193523, 'n': 881, 'trace_an': 0}
  • id: 52226900
    {'hecke_orbit_code': 36029759125193523, 'n': 883, 'trace_an': -252}
  • id: 52226901
    {'hecke_orbit_code': 36029759125193523, 'n': 887, 'trace_an': 0}
  • id: 52226902
    {'hecke_orbit_code': 36029759125193523, 'n': 907, 'trace_an': 44}
  • id: 52226903
    {'hecke_orbit_code': 36029759125193523, 'n': 911, 'trace_an': 0}
  • id: 52226904
    {'hecke_orbit_code': 36029759125193523, 'n': 919, 'trace_an': -22}
  • id: 52226905
    {'hecke_orbit_code': 36029759125193523, 'n': 929, 'trace_an': 0}
  • id: 52226906
    {'hecke_orbit_code': 36029759125193523, 'n': 937, 'trace_an': 200}
  • id: 52226907
    {'hecke_orbit_code': 36029759125193523, 'n': 941, 'trace_an': 0}
  • id: 52226908
    {'hecke_orbit_code': 36029759125193523, 'n': 947, 'trace_an': 0}
  • id: 52226909
    {'hecke_orbit_code': 36029759125193523, 'n': 953, 'trace_an': 0}
  • id: 52226910
    {'hecke_orbit_code': 36029759125193523, 'n': 961, 'trace_an': 48}
  • id: 52226911
    {'hecke_orbit_code': 36029759125193523, 'n': 967, 'trace_an': 116}
  • id: 52226912
    {'hecke_orbit_code': 36029759125193523, 'n': 971, 'trace_an': 0}
  • id: 52226913
    {'hecke_orbit_code': 36029759125193523, 'n': 977, 'trace_an': 0}
  • id: 52226914
    {'hecke_orbit_code': 36029759125193523, 'n': 983, 'trace_an': 0}
  • id: 52226915
    {'hecke_orbit_code': 36029759125193523, 'n': 991, 'trace_an': 98}
  • id: 52226916
    {'hecke_orbit_code': 36029759125193523, 'n': 997, 'trace_an': -8}