Embedded newform data - 2025.2.b.n.649.5

Formats: - HTML - YAML - JSON - 2025-07-19T01:39:48.651124+00:00

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 8100, 'analytic_conductor': 16.169706409309278, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [2025, 2, [326, 1702], [2, 1]], 'cm_discs': [], 'conrey_index': 649, 'dim': 8, 'field_disc': 34810603776, 'field_disc_factorization': [[2, 8], [3, 2], [13, 4], [23, 2]], 'field_poly': [9, 0, 49, 0, 42, 0, 12, 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, [9, 0, 49, 0, 42, 0, 12, 0, 1]], [11, [-9, 41, -25, 1, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546863908849641, 'hecke_ring_generator_nbound': 11, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2025.2.b.n', 'level': 2025, '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, 5], 'level_radical': 15, 'minimal_twist': '225.2.e.c', 'nf_label': '8.0.34810603776.6', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{2}+(-1+\\beta _{4}-\\beta _{6})q^{4}+(-\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2025.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 196719729176040442, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.102', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.296', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.793', 'prec': 17}, {'__RealLiteral__': 0, 'data': '306.385', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21395.096', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.511', 'prec': 17}, 'traces': [8, 0, 0, -8, 0, 0, 0, 0, 0, 0, -2, 0, 0, -6, 0, 8, 0, 0, -4, 0, 0, 0, 0, 0, 0, -20, 0, 0, -2, 0, -8, 0, 0, -18, 0, 0, 0, 0, 0, 0, -10, 0, 0, -44, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, -60, 0, 0, -34, 0, -26, 0, 0, -38, 0, 0, 0, 0, 0, 0, -16, 0, 0, -80, 0, 22, 0, 0, 14, 0, 0, 0, 0, 0, 0, -68, 0, 0, 18, 0, -34, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 42, 0, 0, 44, 0, 0, 0, 0, 0, 0, -74, 0, 0, -18, 0, 14, 0, 0, -10, 0, 0, 0, 0, 0, 0, -30, 0, 0, -90, 0, 72, 0, 0, -28, 0, 0, 0, 0, 0, 0, -50, 0, 0, 46, 0, -2, 0, 0, 24, 0, 0, 0, 0, 0, 0, 48, 0, 0, 20, 0, -36, 0, 0, -24, 0, 0, 0, 0, 0, 0, -28, 0, 0, -16, 0, -32, 0, 0, 42, 0, 0, 0, 0, 0, 0, 32, 0, 0, -32, 0, -42, 0, 0, -46, 0, 0, 0, 0, 0, 0, -58, 0, 0, 26, 0, -8, 0, 0, 102, 0, 0, 0, 0, 0, 0, 82, 0, 0, 30, 0, -120, 0, 0, 38, 0, 0, 0, 0, 0, 0, 74, 0, 0, 86, 0, 28, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 20, 0, 0, 34, 0, 0, 0, 0, 0, 0, 12, 0, 0, 92, 0, 64, 0, 0, -18, 0, 0, 0, 0, 0, 0, 54, 0, 0, -40, 0, -60, 0, 0, -26, 0, 0, 0, 0, 0, 0, 150, 0, 0, 48, 0, -82, 0, 0, -82, 0, 0, 0, 0, 0, 0, 132, 0, 0, 94, 0, 58, 0, 0, 30, 0, 0, 0, 0, 0, 0, -118, 0, 0, 96, 0, -56, 0, 0, -156, 0, 0, 0, 0, 0, 0, 120, 0, 0, 42, 0, 78, 0, 0, 50, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, -36, 0, 0, 64, 0, 0, 0, 0, 0, 0, 36, 0, 0, 32, 0, 162, 0, 0, 86, 0, 0, 0, 0, 0, 0, 14, 0, 0, 138, 0, 60, 0, 0, -138, 0, 0, 0, 0, 0, 0, 90, 0, 0, -18, 0, 126, 0, 0, -130, 0, 0, 0, 0, 0, 0, 122, 0, 0, -92, 0, 22, 0, 0, 12, 0, 0, 0, 0, 0, 0, -66, 0, 0, -42, 0, -80, 0, 0, -28, 0, 0, 0, 0, 0, 0, 146, 0, 0, 128, 0, -6, 0, 0, -36, 0, 0, 0, 0, 0, 0, 120, 0, 0, 206, 0, -54, 0, 0, -62, 0, 0, 0, 0, 0, 0, -114, 0, 0, 48, 0, -4, 0, 0, 178, 0, 0, 0, 0, 0, 0, -40, 0, 0, -94, 0, -164, 0, 0, 80, 0, 0, 0, 0, 0, 0, -24, 0, 0, 68, 0, 38, 0, 0, -6, 0, 0, 0, 0, 0, 0, 152, 0, 0, -54, 0, 78, 0, 0, -38, 0, 0, 0, 0, 0, 0, 66, 0, 0, 46, 0, 52, 0, 0, -186, 0, 0, 0, 0, 0, 0, -34, 0, 0, -96, 0, -182, 0, 0, 4, 0, 0, 0, 0, 0, 0, 48, 0, 0, 102, 0, -146, 0, 0, -72, 0, 0, 0, 0, 0, 0, -36, 0, 0, 30, 0, 78, 0, 0, 46, 0, 0, 0, 0, 0, 0, 10, 0, 0, 46, 0, 16, 0, 0, -64, 0, 0, 0, 0, 0, 0, 34, 0, 0, 134, 0, -6, 0, 0, -10, 0, 0, 0, 0, 0, 0, -100, 0, 0, -38, 0, -56, 0, 0, 54, 0, 0, 0, 0, 0, 0, 132, 0, 0, -78, 0, 228, 0, 0, 72, 0, 0, 0, 0, 0, 0, -62, 0, 0, -148, 0, 196, 0, 0, -90, 0, 0, 0, 0, 0, 0, -62, 0, 0, 38, 0, -24, 0, 0, -86, 0, 0, 0, 0, 0, 0, 72, 0, 0, 158, 0, -20, 0, 0, 66, 0, 0, 0, 0, 0, 0, 86, 0, 0, -106, 0, -90, 0, 0, -106, 0, 0, 0, 0, 0, 0, 128, 0, 0, -30, 0, -34, 0, 0, 50, 0, 0, 0, 0, 0, 0, -194, 0, 0, -96, 0, -72, 0, 0, -82, 0, 0, 0, 0, 0, 0, 4, 0, 0, 66, 0, 136, 0, 0, 174, 0, 0, 0, 0, 0, 0, 72, 0, 0, 188, 0, -60, 0, 0, 212, 0, 0, 0, 0, 0, 0, -150, 0, 0, -92, 0, 114, 0, 0, 84, 0, 0, 0, 0, 0, 0, 18, 0, 0, -76, 0, 58, 0, 0, -24, 0, 0, 0, 0, 0, 0, -162, 0, 0, -44, 0, 166, 0, 0, -156, 0, 0, 0, 0, 0, 0, 96, 0, 0, 84, 0, -156, 0, 0, -94, 0, 0, 0, 0, 0, 0, 38, 0, 0, -2, 0, -70, 0, 0, 212, 0, 0, 0, 0, 0, 0, -162, 0, 0, -144, 0, -30, 0, 0, -28, 0, 0, 0, 0, 0, 0, 58, 0, 0, -144, 0, -82, 0, 0, -150, 0, 0, 0, 0, 0, 0, -188, 0, 0, -116, 0, -102, 0, 0, 70, 0, 0, 0, 0, 0, 0, 36, 0, 0, -54, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, -50, 0, 0, 62, 0, 76, 0, 0, 56, 0, 0, 0, 0, 0, 0, -246, 0, 0, 70, 0, 120, 0, 0, -228, 0, 0, 0, 0, 0, 0, 182, 0, 0, -320, 0, -18, 0, 0, -158, 0, 0, 0, 0, 0, 0, -304, 0, 0, -198, 0, -48, 0, 0, 230, 0, 0, 0, 0, 0, 0, -210, 0, 0, 40, 0, -260, 0, 0, -54, 0, 0, 0, 0, 0, 0, -190, 0, 0, 78, 0, -44, 0, 0, 114, 0, 0, 0, 0, 0, 0, -108, 0, 0, -114, 0, 120, 0, 0, 128, 0, 0, 0, 0, 0, 0, 84, 0, 0, -426, 0, -134, 0, 0, 268, 0, 0, 0, 0, 0, 0, -78, 0, 0, -88, 0, -238, 0, 0, 110, 0, 0, 0, 0, 0, 0, 172, 0, 0, 30, 0, -32, 0, 0, 150, 0, 0, 0, 0, 0, 0, -42, 0, 0, 162, 0, 12, 0, 0, 50, 0, 0, 0, 0, 0, 0, -184, 0, 0, -96, 0, 78, 0, 0, 140, 0, 0, 0, 0, 0, 0, -214, 0, 0, -40, 0, -222, 0, 0, -50, 0, 0, 0, 0, 0, 0, -72, 0, 0, -4, 0, -168, 0, 0, -84, 0, 0, 0, 0, 0, 0, -20, 0, 0, -174, 0, 312, 0, 0, -130, 0, 0, 0, 0, 0, 0, 10, 0, 0, -138, 0, -28, 0, 0, -192, 0, 0, 0, 0, 0, 0, -56, 0, 0, -98, 0, 110, 0, 0, 22, 0, 0, 0, 0, 0, 0, 106, 0, 0, -78, 0, 130, 0, 0, -66, 0, 0, 0, 0, 0, 0, -116, 0, 0, -274, 0, 144, 0, 0, -48, 0, 0, 0, 0, 0, 0, 18, 0, 0, 82, 0, 154, 0, 0, -188, 0, 0, 0, 0, 0, 0, -162, 0, 0, 356, 0, 82, 0, 0, -252, 0, 0, 0, 0, 0, 0, -128, 0, 0, 90, 0, 166, 0, 0, 36, 0, 0, 0, 0, 0, 0, 154, 0, 0, -204, 0, 198, 0, 0, 80, 0, 0, 0, 0, 0, 0, -138, 0, 0, -336, 0, -148, 0, 0, 14, 0, 0, 0, 0, 0, 0, 42, 0, 0, -2, 0, -84, 0, 0, -124, 0, 0, 0, 0, 0, 0, 132, 0, 0, -150, 0, 70, 0, 0, 30, 0, 0, 0, 0, 0, 0, -106, 0, 0, 294, 0, -210, 0, 0, 144, 0, 0, 0, 0, 0, 0, -12, 0, 0, 18, 0, 106, 0, 0, -94, 0, 0, 0, 0, 0, 0, -354, 0, 0, -138, 0, 156, 0, 0, 34, 0, 0, 0, 0, 0, 0, 282, 0, 0, 130, 0, -64, 0, 0, -12, 0, 0, 0, 0, 0, 0, 162, 0, 0, 210, 0, -168, 0, 0, -102, 0, 0, 0, 0, 0, 0, -244, 0, 0, -48, 0, -170, 0, 0, -210, 0, 0, 0, 0, 0, 0, 54, 0, 0, -92, 0, -32, 0, 0, 122, 0, 0, 0, 0, 0, 0, 32, 0, 0, 12, 0, 144, 0, 0, 30, 0, 0, 0, 0, 0, 0, 88, 0, 0, 408, 0, 72, 0, 0, 56, 0, 0, 0, 0, 0, 0, 204, 0, 0, -92, 0, -42, 0, 0, 18, 0, 0, 0, 0, 0, 0, -96, 0, 0, 166, 0, 122, 0, 0, 206, 0, 0, 0, 0, 0, 0, 506, 0, 0, -52, 0, 58, 0, 0, -114, 0, 0, 0, 0, 0, 0, -236, 0, 0, -72, 0, -18, 0, 0, -10, 0, 0, 0, 0, 0, 0, 282, 0, 0, -48, 0, -58, 0, 0, -72, 0, 0, 0, 0, 0, 0, -12, 0, 0, 452, 0, -134, 0, 0, -12, 0, 0, 0, 0, 0, 0, -90, 0, 0, 166, 0, -98, 0, 0, -162, 0, 0, 0, 0, 0, 0, 138, 0, 0, -30, 0, -186, 0, 0, 116, 0, 0, 0, 0, 0, 0, 138, 0, 0, -46, 0, -4, 0, 0, -6, 0, 0, 0, 0, 0, 0, -104, 0, 0, 74, 0, 192, 0, 0, 38, 0, 0, 0, 0, 0, 0, -104, 0, 0, 84, 0, -166, 0, 0, -138, 0, 0, 0, 0, 0, 0, 160, 0, 0, -24, 0, -192, 0, 0, 44, 0, 0, 0, 0, 0, 0, 312, 0, 0, -144, 0, 166, 0, 0, -96, 0, 0, 0, 0, 0, 0, -84, 0, 0, 254, 0, 244, 0, 0, -24, 0, 0, 0, 0, 0, 0, -64, 0, 0, 106, 0, -52, 0, 0, 108, 0, 0, 0, 0, 0, 0, 262, 0, 0, 300, 0, 114, 0, 0, -106, 0, 0, 0, 0, 0, 0, 286, 0, 0, -54, 0, -178, 0, 0, -196, 0, 0, 0, 0, 0, 0, -60, 0, 0, -12, 0, -90, 0, 0, -160, 0, 0, 0, 0, 0, 0, 156, 0, 0, 26, 0, -174, 0, 0, -216, 0, 0, 0, 0, 0, 0, 38, 0, 0, 114, 0, 60, 0, 0, 116, 0, 0, 0, 0, 0, 0, 84, 0, 0, -20, 0, 208, 0, 0, -34, 0, 0, 0, 0, 0, 0, -154, 0, 0, 96, 0, 52, 0, 0, -136, 0, 0, 0, 0, 0, 0, 458, 0, 0, -194, 0, 150, 0, 0, 318, 0, 0, 0, 0, 0, 0, -150, 0, 0, -270, 0, 144, 0, 0, -136, 0, 0, 0, 0, 0, 0, -130, 0, 0, 240, 0, -74, 0, 0, 126, 0, 0, 0, 0, 0, 0, -162, 0, 0, 288, 0, 288, 0, 0, 54, 0, 0, 0, 0, 0, 0, -66, 0, 0, 240, 0, -44, 0, 0, 234, 0, 0, 0, 0, 0, 0, 294, 0, 0, -144, 0, -12, 0, 0, -48, 0, 0, 0, 0, 0, 0, -94, 0, 0, -234, 0, -134, 0, 0, 24, 0, 0, 0, 0, 0, 0, 114, 0, 0, 402, 0, -154, 0, 0, 368, 0, 0, 0, 0, 0, 0, 246, 0, 0, 138, 0, 56, 0, 0, 288, 0, 0, 0, 0, 0, 0, -136, 0, 0, 216, 0, -198, 0, 0, -270, 0, 0, 0, 0, 0, 0, 288, 0, 0, -270, 0, -30, 0, 0, -146, 0, 0, 0, 0, 0, 0, -204, 0, 0, 106, 0, 92, 0, 0, 154, 0, 0, 0, 0, 0, 0, 228, 0, 0, 204, 0, -140, 0, 0, -216, 0, 0, 0, 0, 0, 0, -46, 0, 0, 500, 0, 192, 0, 0, -216, 0, 0, 0, 0, 0, 0, 30, 0, 0, -282, 0, 308, 0, 0, -64, 0, 0, 0, 0, 0, 0, 176, 0, 0, -204, 0, 262, 0, 0, 2, 0], 'weight': 2, 'weight_parity': 1}
• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
  {'an_normalized': [[1.0, 0.0], [0.0, 0.33464148088863627], [0.0, 0.0], [0.8880150792686605, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.9687431660880653], [0.0, 0.6318081620665406], [0.0, 0.0], [0.0, 0.0], [-1.859904320550333, 0.0], [0.0, 0.0], [0.0, -0.5913927141097898], [-0.3241816477004563, 0.0], [0.0, 0.0], [0.6765858602771858, 0.0], [0.0, 0.7684995401377035], [0.0, 0.0], [-0.08173316260274471, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.6224011361401363], [0.0, 0.8784663590235645], [0.0, 0.0], [0.0, 0.0], [0.19790453363644997, 0.0], [0.0, 0.0], [0.0, 0.8602585394246665], [-0.31312526876545965, 0.0], [0.0, 0.0], [-1.4832531012475798, 0.0], [0.0, 0.85822185629801], [0.0, 0.0], [-0.2571718241739171, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.597218813178432], [0.0, -0.027351306571094195], [0.0, 0.0], [0.0, 0.0], [-0.42690603578412295, 0.0], [0.0, 0.0], [0.0, 1.1709095391659288], [-1.651623082645628, 0.0], [0.0, 0.0], [-0.29397128329449407, 0.0], [0.0, -1.6670738692973457], [0.0, 0.0], 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'2025.2.b.n.649.5', 'level': 2025, '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': 8100, 'analytic_conductor': 16.169706409309278, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [2025, 2, [326, 1702], [2, 1]], 'conrey_index': 649, 'cusp_dim': 234, 'dim': 68, 'eis_dim': 72, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 68753033193, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8], 'label': '2025.2.b', 'level': 2025, '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, 5], 'level_radical': 15, 'mf_dim': 306, 'mf_new_dim': 76, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 68, 'sturm_bound': 540, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [68, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, -212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -308, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 244, 0, 0, -420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 328, 0, 0, -540, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 356, 0, 0, 332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, -340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 568, 0, 0, 600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 660, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -284, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -172, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -348, 0, 0, -260, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -600, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -980, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -540, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -392, 0, 0, 756, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
• mf_twists_cc •

  Column	Type
  conductor	integer
  degree	integer
  order	integer
  parity	smallint
  source_conrey_index	integer
  source_dim	integer
  source_embedding_index	integer
  source_hecke_orbit_code	bigint
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_conrey_index	integer
  target_dim	integer
  target_embedding_index	integer
  target_hecke_orbit_code	bigint
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_conrey_index	integer
  weight	smallint

  
  
  • id: 47710288
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 58546863908849641, 'target_is_minimal': False, 'target_label': '2025.2.b.n.649.5', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
  • id: 47710289
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050463536220137, 'target_is_minimal': False, 'target_label': '2025.2.b.o.649.4', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 47710290
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090448361, 'target_is_minimal': False, 'target_label': '2025.2.a.y.1.2', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 47710291
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057594071484393, 'target_is_minimal': False, 'target_label': '2025.2.a.q.1.3', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 47710292
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58546863908849641, 'target_is_minimal': False, 'target_label': '2025.2.b.n.649.4', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 47710293
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 199, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886483063459, 'target_is_minimal': False, 'target_label': '675.2.k.c.199.4', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 47710294
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 124, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886483063009, 'target_is_minimal': False, 'target_label': '225.2.k.c.124.4', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 47710295
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 424, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007886483063459, 'target_is_minimal': False, 'target_label': '675.2.k.c.424.5', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
  • id: 47710296
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007886483063009, 'target_is_minimal': False, 'target_label': '225.2.k.c.49.5', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
  • id: 47710297
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67553994444113897, 'target_is_minimal': False, 'target_label': '2025.2.a.p.1.3', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 47710298
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717818857, 'target_is_minimal': False, 'target_label': '2025.2.a.z.1.2', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
  • id: 47710299
    {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 63050463536220137, 'target_is_minimal': False, 'target_label': '2025.2.b.o.649.5', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
  • id: 47710300
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 226, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420944035, 'target_is_minimal': False, 'target_label': '675.2.e.e.226.2', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 47710301
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 124, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007886483063009, 'target_is_minimal': False, 'target_label': '225.2.k.c.124.5', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 47710302
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 76, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202593, 'target_is_minimal': True, 'target_label': '225.2.e.c.76.3', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
  • id: 47710303
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 151, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943585, 'target_is_minimal': True, 'target_label': '225.2.e.e.151.2', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
  • id: 47710304
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 424, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886483063459, 'target_is_minimal': False, 'target_label': '675.2.k.c.424.4', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
  • id: 47710305
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 151, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202593, 'target_is_minimal': True, 'target_label': '225.2.e.c.151.3', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
  • id: 47710306
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166203043, 'target_is_minimal': False, 'target_label': '675.2.e.c.451.3', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
  • id: 47710307
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 199, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007886483063459, 'target_is_minimal': False, 'target_label': '675.2.k.c.199.5', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
  • id: 47710308
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420944035, 'target_is_minimal': False, 'target_label': '675.2.e.e.451.2', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
  • id: 47710309
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886483063009, 'target_is_minimal': False, 'target_label': '225.2.k.c.49.4', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
  • id: 47710310
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 226, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166203043, 'target_is_minimal': False, 'target_label': '675.2.e.c.226.3', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
  • id: 47710311
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546863908849641, 'source_is_minimal': False, 'source_label': '2025.2.b.n.649.5', 'source_level': 2025, 'target_conrey_index': 76, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943585, 'target_is_minimal': True, 'target_label': '225.2.e.e.76.2', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 2374600
    {'charpoly_factorization': [[[9, 0, 49, 0, 42, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 2}
  • id: 2374601
    {'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 58546863908849641, 'p': 3}
  • id: 2374602
    {'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 58546863908849641, 'p': 5}
  • id: 2374603
    {'charpoly_factorization': [[[81, 0, 360, 0, 174, 0, 25, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 7}
  • id: 2374604
    {'charpoly_factorization': [[[-9, 41, -25, 1, 1], 2]], 'hecke_orbit_code': 58546863908849641, 'p': 11}
  • id: 2374605
    {'charpoly_factorization': [[[11449, 0, 6445, 0, 1134, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 13}
  • id: 2374606
    {'charpoly_factorization': [[[91809, 0, 24220, 0, 2214, 0, 81, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 17}
  • id: 2374607
    {'charpoly_factorization': [[[-25, -80, -27, 2, 1], 2]], 'hecke_orbit_code': 58546863908849641, 'p': 19}
  • id: 2374608
    {'charpoly_factorization': [[[59049, 0, 27783, 0, 3033, 0, 111, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 23}
  • id: 2374609
    {'charpoly_factorization': [[[-129, -142, -40, 1, 1], 2]], 'hecke_orbit_code': 58546863908849641, 'p': 29}
  • id: 2374610
    {'charpoly_factorization': [[[243, -27, -42, 4, 1], 2]], 'hecke_orbit_code': 58546863908849641, 'p': 31}
  • id: 2374611
    {'charpoly_factorization': [[[418609, 0, 124903, 0, 9513, 0, 199, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 37}
  • id: 2374612
    {'charpoly_factorization': [[[-207, -161, -25, 5, 1], 2]], 'hecke_orbit_code': 58546863908849641, 'p': 41}
  • id: 2374613
    {'charpoly_factorization': [[[452929, 0, 278788, 0, 12678, 0, 196, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 43}
  • id: 2374614
    {'charpoly_factorization': [[[145161, 0, 86434, 0, 7887, 0, 186, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 47}
  • id: 2374615
    {'charpoly_factorization': [[[221841, 0, 113053, 0, 13614, 0, 228, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 53}
  • id: 2374616
    {'charpoly_factorization': [[[-2313, -914, 2, 17, 1], 2]], 'hecke_orbit_code': 58546863908849641, 'p': 59}
  • id: 2374617
    {'charpoly_factorization': [[[-1, -91, -3, 13, 1], 2]], 'hecke_orbit_code': 58546863908849641, 'p': 61}
  • id: 2374618
    {'charpoly_factorization': [[[59049, 0, 72504, 0, 11982, 0, 217, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 67}
  • id: 2374619
    {'charpoly_factorization': [[[381, -263, -40, 8, 1], 2]], 'hecke_orbit_code': 58546863908849641, 'p': 71}
  • id: 2374620
    {'charpoly_factorization': [[[12769, 0, 79777, 0, 8478, 0, 196, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 73}
  • id: 2374621
    {'charpoly_factorization': [[[207, 69, -33, -7, 1], 2]], 'hecke_orbit_code': 58546863908849641, 'p': 79}
  • id: 2374622
    {'charpoly_factorization': [[[531441, 0, 473121, 0, 27702, 0, 324, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, 'p': 83}
  • id: 2374623
    {'charpoly_factorization': [[[2025, 405, -99, -9, 1], 2]], 'hecke_orbit_code': 58546863908849641, 'p': 89}
  • id: 2374624
    {'charpoly_factorization': [[[908209, 0, 180307, 0, 10773, 0, 199, 0, 1], 1]], 'hecke_orbit_code': 58546863908849641, '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': 2, 'hecke_orbit': 14, 'label': '2025.2.b.n', 'level': 2025, 'portrait': 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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 59211493
    {'hecke_orbit_code': 58546863908849641, 'n': 1, 'trace_an': 8}
  • id: 59211494
    {'hecke_orbit_code': 58546863908849641, 'n': 2, 'trace_an': 0}
  • id: 59211495
    {'hecke_orbit_code': 58546863908849641, 'n': 3, 'trace_an': 0}
  • id: 59211496
    {'hecke_orbit_code': 58546863908849641, 'n': 4, 'trace_an': -8}
  • id: 59211497
    {'hecke_orbit_code': 58546863908849641, 'n': 5, 'trace_an': 0}
  • id: 59211498
    {'hecke_orbit_code': 58546863908849641, 'n': 6, 'trace_an': 0}
  • id: 59211499
    {'hecke_orbit_code': 58546863908849641, 'n': 7, 'trace_an': 0}
  • id: 59211500
    {'hecke_orbit_code': 58546863908849641, 'n': 8, 'trace_an': 0}
  • id: 59211501
    {'hecke_orbit_code': 58546863908849641, 'n': 9, 'trace_an': 0}
  • id: 59211502
    {'hecke_orbit_code': 58546863908849641, 'n': 10, 'trace_an': 0}
  • id: 59211503
    {'hecke_orbit_code': 58546863908849641, 'n': 11, 'trace_an': -2}
  • id: 59211504
    {'hecke_orbit_code': 58546863908849641, 'n': 12, 'trace_an': 0}
  • id: 59211505
    {'hecke_orbit_code': 58546863908849641, 'n': 13, 'trace_an': 0}
  • id: 59211506
    {'hecke_orbit_code': 58546863908849641, 'n': 14, 'trace_an': -6}
  • id: 59211507
    {'hecke_orbit_code': 58546863908849641, 'n': 15, 'trace_an': 0}
  • id: 59211508
    {'hecke_orbit_code': 58546863908849641, 'n': 16, 'trace_an': 8}
  • id: 59211509
    {'hecke_orbit_code': 58546863908849641, 'n': 17, 'trace_an': 0}
  • id: 59211510
    {'hecke_orbit_code': 58546863908849641, 'n': 18, 'trace_an': 0}
  • id: 59211511
    {'hecke_orbit_code': 58546863908849641, 'n': 19, 'trace_an': -4}
  • id: 59211512
    {'hecke_orbit_code': 58546863908849641, 'n': 20, 'trace_an': 0}
  • id: 59211513
    {'hecke_orbit_code': 58546863908849641, 'n': 21, 'trace_an': 0}
  • id: 59211514
    {'hecke_orbit_code': 58546863908849641, 'n': 22, 'trace_an': 0}
  • id: 59211515
    {'hecke_orbit_code': 58546863908849641, 'n': 23, 'trace_an': 0}
  • id: 59211516
    {'hecke_orbit_code': 58546863908849641, 'n': 24, 'trace_an': 0}
  • id: 59211517
    {'hecke_orbit_code': 58546863908849641, 'n': 25, 'trace_an': 0}
  • id: 59211518
    {'hecke_orbit_code': 58546863908849641, 'n': 26, 'trace_an': -20}
  • id: 59211519
    {'hecke_orbit_code': 58546863908849641, 'n': 27, 'trace_an': 0}
  • id: 59211520
    {'hecke_orbit_code': 58546863908849641, 'n': 28, 'trace_an': 0}
  • id: 59211521
    {'hecke_orbit_code': 58546863908849641, 'n': 29, 'trace_an': -2}
  • id: 59211522
    {'hecke_orbit_code': 58546863908849641, 'n': 30, 'trace_an': 0}
  • id: 59211523
    {'hecke_orbit_code': 58546863908849641, 'n': 31, 'trace_an': -8}
  • id: 59211524
    {'hecke_orbit_code': 58546863908849641, 'n': 32, 'trace_an': 0}
  • id: 59211525
    {'hecke_orbit_code': 58546863908849641, 'n': 33, 'trace_an': 0}
  • id: 59211526
    {'hecke_orbit_code': 58546863908849641, 'n': 34, 'trace_an': -18}
  • id: 59211527
    {'hecke_orbit_code': 58546863908849641, 'n': 35, 'trace_an': 0}
  • id: 59211528
    {'hecke_orbit_code': 58546863908849641, 'n': 36, 'trace_an': 0}
  • id: 59211529
    {'hecke_orbit_code': 58546863908849641, 'n': 37, 'trace_an': 0}
  • id: 59211530
    {'hecke_orbit_code': 58546863908849641, 'n': 38, 'trace_an': 0}
  • id: 59211531
    {'hecke_orbit_code': 58546863908849641, 'n': 39, 'trace_an': 0}
  • id: 59211532
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  • id: 59211533
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  • id: 59211534
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  • id: 59211535
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  • id: 59211536
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  • id: 59211537
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  • id: 59211538
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  • id: 59211539
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  • id: 59211540
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  • id: 59211541
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  • id: 59211542
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  • id: 59211543
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  • id: 59211544
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  • id: 59211545
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  • id: 59211546
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  • id: 59211547
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  • id: 59211548
    {'hecke_orbit_code': 58546863908849641, 'n': 56, 'trace_an': -60}
  • id: 59211549
    {'hecke_orbit_code': 58546863908849641, 'n': 57, 'trace_an': 0}
  • id: 59211550
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  • id: 59211551
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  • id: 59211552
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  • id: 59211553
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  • id: 59211554
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  • id: 59211555
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  • id: 59211556
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  • id: 59211557
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  • id: 59211558
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  • id: 59211559
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  • id: 59211560
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  • id: 59211561
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  • id: 59211562
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  • id: 59211563
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  • id: 59211564
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  • id: 59211565
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  • id: 59211566
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  • id: 59211567
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  • id: 59211568
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  • id: 59211569
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  • id: 59211570
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  • id: 59211571
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  • id: 59211572
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  • id: 59211573
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  • id: 59211574
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  • id: 59211575
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  • id: 59211576
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  • id: 59211577
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  • id: 59211578
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  • id: 59211579
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  • id: 59211580
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  • id: 59211581
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  • id: 59211582
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  • id: 59211583
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  • id: 59211584
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  • id: 59211585
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  • id: 59211586
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  • id: 59211587
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  • id: 59211588
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  • id: 59211589
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  • id: 59211590
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  • id: 59211591
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  • id: 59211592
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  • id: 59211593
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  • id: 59211594
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  • id: 59211595
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  • id: 59211596
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  • id: 59211597
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  • id: 59211598
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  • id: 59211599
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  • id: 59211600
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  • id: 59211601
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  • id: 59211602
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  • id: 59211603
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  • id: 59211604
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  • id: 59211605
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  • id: 59211606
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  • id: 59211607
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  • id: 59211608
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  • id: 59211609
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  • id: 59211610
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  • id: 59211611
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  • id: 59211612
    {'hecke_orbit_code': 58546863908849641, 'n': 179, 'trace_an': -16}
  • id: 59211613
    {'hecke_orbit_code': 58546863908849641, 'n': 181, 'trace_an': -32}
  • id: 59211614
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  • id: 59211615
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  • id: 59211616
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  • id: 59211617
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  • id: 59211618
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  • id: 59211619
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  • id: 59211620
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  • id: 59211621
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  • id: 59211622
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  • id: 59211623
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  • id: 59211624
    {'hecke_orbit_code': 58546863908849641, 'n': 241, 'trace_an': 28}
  • id: 59211625
    {'hecke_orbit_code': 58546863908849641, 'n': 243, 'trace_an': 0}
  • id: 59211626
    {'hecke_orbit_code': 58546863908849641, 'n': 251, 'trace_an': 0}
  • id: 59211627
    {'hecke_orbit_code': 58546863908849641, 'n': 256, 'trace_an': 20}
  • id: 59211628
    {'hecke_orbit_code': 58546863908849641, 'n': 257, 'trace_an': 0}
  • id: 59211629
    {'hecke_orbit_code': 58546863908849641, 'n': 263, 'trace_an': 0}
  • id: 59211630
    {'hecke_orbit_code': 58546863908849641, 'n': 269, 'trace_an': 92}
  • id: 59211631
    {'hecke_orbit_code': 58546863908849641, 'n': 271, 'trace_an': 64}
  • id: 59211632
    {'hecke_orbit_code': 58546863908849641, 'n': 277, 'trace_an': 0}
  • id: 59211633
    {'hecke_orbit_code': 58546863908849641, 'n': 281, 'trace_an': 54}
  • id: 59211634
    {'hecke_orbit_code': 58546863908849641, 'n': 283, 'trace_an': 0}
  • id: 59211635
    {'hecke_orbit_code': 58546863908849641, 'n': 289, 'trace_an': -26}
  • id: 59211636
    {'hecke_orbit_code': 58546863908849641, 'n': 293, 'trace_an': 0}
  • id: 59211637
    {'hecke_orbit_code': 58546863908849641, 'n': 307, 'trace_an': 0}
  • id: 59211638
    {'hecke_orbit_code': 58546863908849641, 'n': 311, 'trace_an': 132}
  • id: 59211639
    {'hecke_orbit_code': 58546863908849641, 'n': 313, 'trace_an': 0}
  • id: 59211640
    {'hecke_orbit_code': 58546863908849641, 'n': 317, 'trace_an': 0}
  • id: 59211641
    {'hecke_orbit_code': 58546863908849641, 'n': 331, 'trace_an': -56}
  • id: 59211642
    {'hecke_orbit_code': 58546863908849641, 'n': 337, 'trace_an': 0}
  • id: 59211643
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  • id: 59211644
    {'hecke_orbit_code': 58546863908849641, 'n': 347, 'trace_an': 0}
  • id: 59211645
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  • id: 59211646
    {'hecke_orbit_code': 58546863908849641, 'n': 353, 'trace_an': 0}
  • id: 59211647
    {'hecke_orbit_code': 58546863908849641, 'n': 359, 'trace_an': 0}
  • id: 59211648
    {'hecke_orbit_code': 58546863908849641, 'n': 361, 'trace_an': -36}
  • id: 59211649
    {'hecke_orbit_code': 58546863908849641, 'n': 367, 'trace_an': 0}
  • id: 59211650
    {'hecke_orbit_code': 58546863908849641, 'n': 373, 'trace_an': 0}
  • id: 59211651
    {'hecke_orbit_code': 58546863908849641, 'n': 379, 'trace_an': 86}
  • id: 59211652
    {'hecke_orbit_code': 58546863908849641, 'n': 383, 'trace_an': 0}
  • id: 59211653
    {'hecke_orbit_code': 58546863908849641, 'n': 389, 'trace_an': 138}
  • id: 59211654
    {'hecke_orbit_code': 58546863908849641, 'n': 397, 'trace_an': 0}
  • id: 59211655
    {'hecke_orbit_code': 58546863908849641, 'n': 401, 'trace_an': 90}
  • id: 59211656
    {'hecke_orbit_code': 58546863908849641, 'n': 409, 'trace_an': -130}
  • id: 59211657
    {'hecke_orbit_code': 58546863908849641, 'n': 419, 'trace_an': -92}
  • id: 59211658
    {'hecke_orbit_code': 58546863908849641, 'n': 421, 'trace_an': 22}
  • id: 59211659
    {'hecke_orbit_code': 58546863908849641, 'n': 431, 'trace_an': -66}
  • id: 59211660
    {'hecke_orbit_code': 58546863908849641, 'n': 433, 'trace_an': 0}
  • id: 59211661
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  • id: 59211662
    {'hecke_orbit_code': 58546863908849641, 'n': 443, 'trace_an': 0}
  • id: 59211663
    {'hecke_orbit_code': 58546863908849641, 'n': 449, 'trace_an': 128}
  • id: 59211664
    {'hecke_orbit_code': 58546863908849641, 'n': 457, 'trace_an': 0}
  • id: 59211665
    {'hecke_orbit_code': 58546863908849641, 'n': 461, 'trace_an': 120}
  • id: 59211666
    {'hecke_orbit_code': 58546863908849641, 'n': 463, 'trace_an': 0}
  • id: 59211667
    {'hecke_orbit_code': 58546863908849641, 'n': 467, 'trace_an': 0}
  • id: 59211668
    {'hecke_orbit_code': 58546863908849641, 'n': 479, 'trace_an': 48}
  • id: 59211669
    {'hecke_orbit_code': 58546863908849641, 'n': 487, 'trace_an': 0}
  • id: 59211670
    {'hecke_orbit_code': 58546863908849641, 'n': 491, 'trace_an': -40}
  • id: 59211671
    {'hecke_orbit_code': 58546863908849641, 'n': 499, 'trace_an': 80}
  • id: 59211672
    {'hecke_orbit_code': 58546863908849641, 'n': 503, 'trace_an': 0}
  • id: 59211673
    {'hecke_orbit_code': 58546863908849641, 'n': 509, 'trace_an': 68}
  • id: 59211674
    {'hecke_orbit_code': 58546863908849641, 'n': 512, 'trace_an': 0}
  • id: 59211675
    {'hecke_orbit_code': 58546863908849641, 'n': 521, 'trace_an': 152}
  • id: 59211676
    {'hecke_orbit_code': 58546863908849641, 'n': 523, 'trace_an': 0}
  • id: 59211677
    {'hecke_orbit_code': 58546863908849641, 'n': 529, 'trace_an': -38}
  • id: 59211678
    {'hecke_orbit_code': 58546863908849641, 'n': 541, 'trace_an': 52}
  • id: 59211679
    {'hecke_orbit_code': 58546863908849641, 'n': 547, 'trace_an': 0}
  • id: 59211680
    {'hecke_orbit_code': 58546863908849641, 'n': 557, 'trace_an': 0}
  • id: 59211681
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  • id: 59211682
    {'hecke_orbit_code': 58546863908849641, 'n': 569, 'trace_an': 102}
  • id: 59211683
    {'hecke_orbit_code': 58546863908849641, 'n': 571, 'trace_an': -146}
  • id: 59211684
    {'hecke_orbit_code': 58546863908849641, 'n': 577, 'trace_an': 0}
  • id: 59211685
    {'hecke_orbit_code': 58546863908849641, 'n': 587, 'trace_an': 0}
  • id: 59211686
    {'hecke_orbit_code': 58546863908849641, 'n': 593, 'trace_an': 0}
  • id: 59211687
    {'hecke_orbit_code': 58546863908849641, 'n': 599, 'trace_an': 46}
  • id: 59211688
    {'hecke_orbit_code': 58546863908849641, 'n': 601, 'trace_an': 16}
  • id: 59211689
    {'hecke_orbit_code': 58546863908849641, 'n': 607, 'trace_an': 0}
  • id: 59211690
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  • id: 59211691
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  • id: 59211692
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  • id: 59211693
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  • id: 59211694
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  • id: 59211695
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  • id: 59211696
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  • id: 59211697
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  • id: 59211698
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  • id: 59211699
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  • id: 59211700
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  • id: 59211701
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  • id: 59211702
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  • id: 59211703
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  • id: 59211704
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  • id: 59211705
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  • id: 59211706
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  • id: 59211707
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  • id: 59211708
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  • id: 59211709
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  • id: 59211710
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  • id: 59211711
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  • id: 59211712
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  • id: 59211713
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  • id: 59211714
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  • id: 59211715
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  • id: 59211716
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  • id: 59211717
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  • id: 59211718
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  • id: 59211719
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  • id: 59211720
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  • id: 59211721
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  • id: 59211722
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  • id: 59211723
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  • id: 59211724
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  • id: 59211725
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  • id: 59211726
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  • id: 59211727
    {'hecke_orbit_code': 58546863908849641, 'n': 841, 'trace_an': -70}
  • id: 59211728
    {'hecke_orbit_code': 58546863908849641, 'n': 853, 'trace_an': 0}
  • id: 59211729
    {'hecke_orbit_code': 58546863908849641, 'n': 857, 'trace_an': 0}
  • id: 59211730
    {'hecke_orbit_code': 58546863908849641, 'n': 859, 'trace_an': -28}
  • id: 59211731
    {'hecke_orbit_code': 58546863908849641, 'n': 863, 'trace_an': 0}
  • id: 59211732
    {'hecke_orbit_code': 58546863908849641, 'n': 877, 'trace_an': 0}
  • id: 59211733
    {'hecke_orbit_code': 58546863908849641, 'n': 881, 'trace_an': -188}
  • id: 59211734
    {'hecke_orbit_code': 58546863908849641, 'n': 883, 'trace_an': 0}
  • id: 59211735
    {'hecke_orbit_code': 58546863908849641, 'n': 887, 'trace_an': 0}
  • id: 59211736
    {'hecke_orbit_code': 58546863908849641, 'n': 907, 'trace_an': 0}
  • id: 59211737
    {'hecke_orbit_code': 58546863908849641, 'n': 911, 'trace_an': -50}
  • id: 59211738
    {'hecke_orbit_code': 58546863908849641, 'n': 919, 'trace_an': 56}
  • id: 59211739
    {'hecke_orbit_code': 58546863908849641, 'n': 929, 'trace_an': 70}
  • id: 59211740
    {'hecke_orbit_code': 58546863908849641, 'n': 937, 'trace_an': 0}
  • id: 59211741
    {'hecke_orbit_code': 58546863908849641, 'n': 941, 'trace_an': 182}
  • id: 59211742
    {'hecke_orbit_code': 58546863908849641, 'n': 947, 'trace_an': 0}
  • id: 59211743
    {'hecke_orbit_code': 58546863908849641, 'n': 953, 'trace_an': 0}
  • id: 59211744
    {'hecke_orbit_code': 58546863908849641, 'n': 961, 'trace_an': -48}
  • id: 59211745
    {'hecke_orbit_code': 58546863908849641, 'n': 967, 'trace_an': 0}
  • id: 59211746
    {'hecke_orbit_code': 58546863908849641, 'n': 971, 'trace_an': -210}
  • id: 59211747
    {'hecke_orbit_code': 58546863908849641, 'n': 977, 'trace_an': 0}
  • id: 59211748
    {'hecke_orbit_code': 58546863908849641, 'n': 983, 'trace_an': 0}
  • id: 59211749
    {'hecke_orbit_code': 58546863908849641, 'n': 991, 'trace_an': -44}
  • id: 59211750
    {'hecke_orbit_code': 58546863908849641, 'n': 997, 'trace_an': 0}