Newform data - 1050.2.d.c

Formats: - HTML - YAML - JSON - 2025-09-13T18:47:07.409169

• 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': 4200, 'analytic_conductor': 8.38429221223444, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 105, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1050, 2, [701, 127, 451], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1049, 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 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': [[11, [20, 0, 1]], [13, [-4, -2, 1]], [23, [4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405446726682, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 105, 7, 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': '1050.2.d.c', 'level': 1050, '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': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '210.2.b.a', 'nf_label': '4.0.400.1', 'prim_orbit_index': 7, 'qexp_display': 'q-q^{2}+(\\beta _{2}+\\beta _{3})q^{3}+q^{4}+(-\\beta _{2}-\\beta _{3})q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.2.d', 'trace_display': [-4, 2, 0, -6], 'trace_hash': 1892711336126418603, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.659', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '72.121', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2113.698', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.523', 'prec': 17}, 'traces': [4, -4, 2, 4, 0, -2, -6, -4, 0, 0, 0, 2, 4, 6, 0, 4, 0, 0, 0, 0, -16, 0, -16, -2, 0, -4, 14, -6, 0, 0, 0, -4, -20, 0, 0, 0, 0, 0, 12, 0, 8, 16, 0, 0, 0, 16, 0, 2, 0, 0, -16, 4, -16, -14, 0, 6, 28, 0, 0, 0, 0, 0, 2, 4, 0, 20, 0, 0, -8, 0, 0, 0, -36, 0, 0, 0, -20, -12, 0, 0, 4, -8, 0, -16, 0, 0, -32, 0, 40, 0, -16, -16, 0, 0, 0, -2, -12, 0, 0, 0, -32, 16, 4, -4, 0, 16, 8, 14, 0, 0, 4, -6, 24, -28, 0, 0, 20, 0, -28, 0, -36, 0, 24, 0, 0, -2, 0, -4, -32, 0, -32, -20, 44, 0, 0, 0, -32, 8, 0, 0, 24, 0, 0, 0, 0, 36, 34, 0, 0, 0, 48, 0, 24, 20, 0, 12, 28, 0, -28, 0, 24, -4, 0, 8, 0, 0, 0, 16, -28, 0, -32, 0, 0, 32, 0, 0, 20, -40, 0, 0, 0, 16, -20, 16, 0, 0, -40, 0, 0, 0, 0, 2, 0, 12, 0, 0, -32, 0, 0, 0, 24, 32, -36, -16, 0, -4, 0, 4, 80, 0, -32, -16, 20, -8, 0, -14, 20, 0, -8, 0, 0, -4, 44, 6, 0, -24, 0, 28, 0, 0, 40, 0, 64, -20, 0, 0, -40, 28, 0, 0, 0, 36, -38, 0, 0, -24, 0, 0, 68, 0, -32, 2, 0, 0, 0, 4, 0, 32, -8, 0, 8, 32, -16, 20, 0, -44, 40, 0, 0, 0, 0, 0, -16, 32, 0, -8, 0, 0, -40, 0, 0, -24, 44, 0, 0, 0, -32, 0, 12, 0, -16, -36, 0, -34, 0, 0, -20, 0, -16, 0, -16, -48, 4, 0, 0, -24, 28, -20, 72, 0, 88, -12, 4, -28, 0, 0, 8, 28, -120, 0, 64, -24, 88, 4, 0, 0, 20, -8, 32, 0, 48, 0, 24, 0, 0, -16, 0, 28, 52, 0, -40, 32, -18, 0, 0, 0, 8, -32, 0, 0, 4, 0, 0, -20, 0, 40, 20, 0, 0, 0, -68, 0, -18, -16, 0, 20, -12, -16, 40, 0, 44, 0, 0, 40, 0, 0, 0, 0, 0, 0, -16, 0, 0, -2, 0, 0, -32, -12, 0, 0, 0, 0, -76, 32, 0, 0, -12, 0, -40, 0, 0, -24, 0, -32, 0, 36, 40, 16, 0, 0, -36, 4, -20, 0, 0, -4, -12, -80, -40, 0, -32, 32, -16, 16, 0, -20, -40, 8, 0, 0, 0, 14, 44, -20, 0, 0, 0, 8, 0, 0, 44, 0, -56, 4, 0, -44, 8, -6, 0, 0, 0, 24, -16, 0, 0, -28, 0, 0, 32, 0, 8, -40, 0, 0, 0, -64, 0, 20, 72, 0, 4, 0, -160, 40, 0, -28, -40, 0, -80, 0, 0, 0, 64, -36, 0, 38, 0, 0, -32, 0, 0, 24, -72, 0, 0, 0, 40, -68, 0, 0, 24, 32, 0, -2, 0, 0, 6, 0, -80, 0, 44, -4, -36, 0, 0, -32, 80, 8, -52, 0, -112, -8, -36, -32, 0, 16, 40, -20, -28, 0, 40, 44, 48, -40, 0, 0, -52, 0, 0, 0, 88, 0, 60, 0, 0, 16, 0, -32, 40, 0, 136, 8, 40, 0, 0, 0, 48, 40, 0, 0, 40, 0, 0, 24, 0, -44, -46, 0, 0, 0, -32, 0, -20, 32, 0, 0, -12, -12, -12, 0, 64, 16, 0, 36, 0, 0, 0, 34, -40, 0, -36, 0, 0, 20, 0, 0, -72, 16, 0, 0, 0, 16, -96, 48, 0, -4, 68, 0, 60, 0, 0, 24, 0, -28, 0, 20, 8, -72, 0, 0, -56, -88, -80, 12, 0, -4, -40, 28, -16, 0, 48, 0, -16, -8, 0, -28, 60, 120, -40, 0, 0, -64, -76, 24, 0, -88, 0, -4, 0, 0, 20, 0, 24, -20, 0, 8, 20, -32, 0, 0, 0, -48, 24, 0, 0, -24, 0, 0, -8, 0, -40, 16, 0, 0, 0, -28, 0, -52, 28, 0, 4, 40, 144, -32, 0, 18, -12, 0, -56, 0, 0, 0, 100, -8, 0, 32, 0, 0, 52, 0, 0, -4, 8, 0, 0, 0, 28, 20, 80, 0, -80, -40, 0, -20, 0, 0, 28, 0, 120, 0, -76, 68, -80, 0, 0, 18, -132, 16, 0, 0, -32, -20, -36, 12, 0, 16, 0, -40, 0, 0, -32, -44, 24, 0, 0, 0, 8, -40, -72, 0, 88, 0, 4, 0, 0, 0, 0, 0, 80, 0, 48, 16, -20, 0, 0, 0, 40, 2, 0, 0, -56, 0, 0, 32, 0, 12, -20, 0, 0, 0, 40, 0, -16, 0, 0, 76, -172, -32, 32, 0, -76, 0, 0, 12, 0, 0, 0, 40, 64, 0, 40, 0, 0, 24, 0, 0, 20, 32, 0, 0, 0, -36, -80, -40, 0, -16, 96, 0, -48, 0, 0, 36, 0, -4, 0, 20, 48, 0, 0, 0, 84, 4, 24, 12, 0, 80, -80, 40, -40, 0, -68, 32, -40, -32, 0, 16, 54, -16, 12, 0, 0, 20, 4, 40, 0, -8, 0, 0, 0, 0, -32, 0, 104, -14, 0, -44, 66, 20, 0, 0, 0, 0, -20, 0, 0, -8, 0, 0, 28, 0, 8, -44, 0, 0, 0, 56, 0, -4, 12, 0, -160, 44, -112, -8, 0, 6, -48, 0, -40, 0, 0, 0, 80, -24, 0, 16, 0, 0, 40, 0, 0, 28, 280, 0, 0, 0, 108, -32, 0, 0, -36, -8, 0, 40, 0, 0, 140, 0, -80, 0, -32, 64, 64, 0, 0, -20, -52, -72, 32, 0, 88, -4, -32, 0, 0, 160, -152, -40, -16, 0, -36, 28, 144, 40, 0, 0, -40, 80, 68, 0, 4, 0, 120, 0, 0, -64, 0, 36, -56, 0, -232, -38, -76, 0, 0, 0, 48, 32, 0, 0, 40, 0, 0, -24, 0, 72, -40, 0, 0, 0, 88, 0, 64, -40, 0, 68, -92, 0, 52, 0, 40, -24, 0, -32, 0, 0, 0, 2, -40, 0, -76, 0, 0, -6, 0, 0, 80, 80, 0, 0, 0, -44, -120, 4, 0, 36, -80, 0, 0, 0, 0, 32, 0, -80, 0, -8, -80, 52, 0, 0, 24, 112, -36, 8, 0, 36, 68, 32, -40, 0, -32, -16, 4, -40, 0, 20, -32, 28, -72, 0, 0, -40, 84, -44, 0, -48, 0, 40, 0, 0, 44, 0, 48, 52, 0, 0, -52, 0, 0, 0, 0, -88, 126, 0, 0, -60, 0, 0, 0, 0, 48, -16, 0, 0, 0, 32, 0, -40, -32, 0, -56, -136, -56, -8, 0, -40, 8, 0, 240, 0, 0, 0, 64, -48, 0, -40, 0, 0, -92, 0, 0, -40, -36, 0, 0, 0, 0, -24, -160, 0, 8, 44, 0, 46, 0, 0, -80, 0, 144, 0, -56, 32, -56, 0, 0, 20, 80, -32, -72, 0, -32, 0, -76, 12, 0, 12, 80, 12, 120, 0, -96, -64, 64, -16, 0, 0, 88, -36, -8, 0, -32, 0, 64, 0, 0, -34, 0, 40, -120, 0, 88, 36, 22, 0, 0, 0, 48, -20, 0, 0, 84, 0, 0, 72, 0, -16, -92, 0, 0, 0, 8, 0, -40, -16, 0, 96, 80, -48, -40, 0, -36, 4, 0, -68, 0, 0, 0, -60, 64, 0, 80, 0, 0, -24, 0, 0, 48, 28, 0, 0, 0, -20, -40, -8, 0, 72, 108, 0, 0, 0, 0, 56, 0, 88, 0, 80, -224, -12, 0, 0, 128, 4, -76, 40, 0, -28, 100, 16, -80, 0, -32, -48, -36, 0, 0, 16, 80, 8, -8, 0, 0, 28, -192, -60, 0, -120, 0, 40, 0, 0, 20, 0, -16, 64, 0, 76, -80, -24, 0, 0, 0, 88, 140, 0, 0, 4, 0, 0, -48, 0, -112, -20, 0, 0, 0, -24, 0, 20, 0, 0, -112, -8, 8, -20, 0, 32, 48, 0, -40, 0, 0, 0, -58, 48, 0, -24, 0, 0, -8, 0, 0, 24, -160, 0, 0, 0, -40, 8, 144, 0, 88, 40, 0, -16, 0, 0, -32, 0, -120, 0, -36, 28, 0, 0, 0, 52, 0, -28, -80, 0, -32, -4, 128, -40, 0, -144, 48, 32, 92, 0, -76, -18, -16, 12, 0, 0, -80, 56, 68, 0, -112, 0, 44, 0, 0, -100, 0, 8, -72, 0, 128, -32, -116, 0, 0, 0, -120, -52, 0, 0, 84, 0, 0, 4, 0, -8, 0, 0, 0, 0, 128, 0, -20, -28, 0, -20, 40, -80, -160, 0, 8, 80, 0, 40, 0, 0, 0, 20, 80, 0, -36, 0, 0, -28, 0, 0, 40, -120, 0, 0, 0, 76, 24, -68, 0, 80, -52, 0, -8, 0, 0, -18, 0, 132, 0, -16, 0, 0, 0, 0, -96, 32, -40, 20, 0, 36, 48, -12, 104, 0, -72, -16, -60, 0, 0, 40, 48, 0, 64, 0, 0, 32, -76, 44, 0, -24, 0, 0, 0, 0, -20, 0, -16, -8, 0, 40, 80, 72, 0, 0, 0, -88, 64, 0, 0, -4, 0, 0, -112, 0, 8, 0, 0, 0, 0, 0, 0, -80, -40, 0, 40, -48, -176, -16, 0, 20, -60, 0, 80, 0, 0, 0, 144, -40, 0, -2, 0, 0, 160, 0, 0, 56, -36, 0, 0, 0, 32, -32, -40, 0, 0, -12, 0, 20, 0, 0, -32, 0, 0, 0, -36, -40, -16, 0, 0, 16, -132, 0, 132, 0, -72, -76, -36, 172, 0, 32, -264, -32, 0, 0, 0, 76, 104, 0, 0, 0, -14, -12, -8, 0, 128, 0, -20, 0, 0, -40, 0, -64, 64, 0, -32, -40, -56, 0, 0, 0, 8, -24, 0, 0, 48, 0, 0, -20, 0, -32, 20, 0, 0, 0, -32, 0, 4, 36, 0, 80, 148, 40, -40, 0, -116, 16, 0, -96, 0, 0, 0, 48, 120, 0, 104, 0, 0, -36, 0, 0, 60, 4, 0, 0, 0, -20, -72, -48, 0, 0, 108, 0, 0, 0, 0, -84, 0, -4, 0, -24, 88, -12, 0, 0, 44, -80, -16, 80, 0, -40, -32, 40, 144, 0, -68, 68, 120, -32, 0, 40, -80, 32, 108, 0, 0, -16, 84, -54, 0, 16, 0, -12, 0, 0, 64, 0, -152, -20, 0, -4, 8, -40, 0, 0, 0, 8, -136, 0, 0, 0, 0, 0, 40, 0, -32, 32, 0, 0, 0, -104, 0, 14, -56, 0, -56, 44, -56, -66, 0, -20, 48, 0, -16, 0, 0, 0, -140, 0, 0, 20, 0, 0, 40, 0, 0, 8, 44, 0, 0, 0, 28, -28, 120, 0, 4, -8, 0, 44, 0, 0, 40, 0, -80, 0, 80, -56, -40, 0, 0, 4, 108, -12, -152, 0, -72, 160, 244, -44, 0, 112, -112, 8, 0, 0, 88, -6, -80, 48, 0, 0, 68, 40, -68, 0, 128, 0, 0, 0, 0, -80, 0, 24, -168, 0, 88, -16, 24, 0, 0, 0, 0, -40, 0, 0, 24, 0, 0, -28, 0, -280, 148, 0, 0, 0, 88, 0, -16, -108, 0, 32, 160, 0, 148, 0, -16, 36, 0, 8, 0, 0, 0, -40, -212, 0, 4, 0, 0, -140, 0, 0, 28, 80, 0, 0, 0, 32, -16, -64, 0, -64, -12, 0, -160, 0, 0, 20, 0, 52, 0, 72, 88, -32, 0, 0, -160, -88, -20, 4, 0, 32, -8, 0, 0, 0, 80, -160, 104, 152, 0, 40, -180, 16, 0, 0, 0, 36, -240, -28, 0, -144, 0, -40, 0, 0, 44, 0, 24, 40, 0, -80, -60, -68, 0, 0, 0, -4, -80, 0, 0, -120, 0, 0, -68, 0, 168, 64, 0, 0, 0, -36, 0, 56, 72, 0, -136, 232, 48, 38, 0, 76, 40, 0, -120, 0, 0, 0, 60, -48, 0, -32, 0, 0, -68, 0, 0, -40, -32, 0, 0, 0, -120, 24, -160, 0, -136, -72, 0, 40, 0, 0, -52, 0, 200, 0, -56, -88, -20, 0, 0, -64, -92, 40, -16, 0, 200, -68, -36, 92, 0, 0, 248, -52, -40, 0], 'weight': 2, 'weight_parity': 1}
• mf_hecke_nf •

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

  
  {'an': [[1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 1, 1], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, -1], [-1, 1, 2, 0], [-1, 0, 0, 0], [-1, -1, -2, 1], [0, 0, 0, 0], [0, 2, 2, 2], [0, 0, 1, 1], [0, -1, 0, 1], [1, -1, -2, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 1, 4, 1], [1, 1, 2, -1], [0, -2, -6, -2], [0, 0, 0, 0], [-4, -1, -1, -1], [0, -2, -2, -2], [-4, 0, 0, 0], [0, 0, -1, -1], [0, 0, 0, 0], [0, 1, 0, -1], [4, 1, -3, 0], [-1, 1, 2, 0], [0, 3, 4, 3], [0, 0, 0, 0], [0, 1, -4, 1], [-1, 0, 0, 0], [-6, 0, -4, 2], [0, -1, -4, -1], [0, 0, 0, 0], [-1, -1, -2, 1], [0, -1, 2, -1], [0, 2, 6, 2], [2, -1, -2, 1], [0, 0, 0, 0], [0, -2, 0, 2], [4, 1, 1, 1], [0, 4, 0, 4], [0, 2, 2, 2], [0, 0, 0, 0], [4, 0, 0, 0], [0, -2, -4, -2], [0, 0, 1, 1], [-3, -3, -2, 3], [0, 0, 0, 0], [-6, -3, -2, 1], [0, -1, 0, 1], [-2, 2, 0, -2], [-4, -1, 3, 0], [0, 0, 0, 0], [1, -1, -2, 0], [10, 4, 4, -2], [0, -3, -4, -3], [-2, -2, 0, 2], [0, 0, 0, 0], [0, 1, 6, 1], [0, -1, 4, -1], [3, 0, -2, -5], [1, 0, 0, 0], [0, 0, 0, 0], [6, 0, 4, -2], [0, 0, -12, 0], [0, 1, 4, 1], [0, 0, -4, -4], [0, 0, 0, 0], [0, -1, -6, -1], [1, 1, 2, -1], [-10, -1, 0, 1], [0, 1, -2, 1], [0, 0, 0, 0], [0, -2, -6, -2], [-8, -6, 2, 0], [-2, 1, 2, -1], [4, 4, 0, -4], [0, 0, 0, 0], [1, 4, 4, 4], [0, 2, 0, -2], [0, -7, -6, -7], [-4, -1, -1, -1], [0, 0, 0, 0], [0, -4, 0, -4], [-10, -1, -6, 3], [0, -2, -2, -2], [8, -2, 0, 2], [0, 0, 0, 0], [-2, 1, -2, -3], [-4, 0, 0, 0], [2, 5, -2, 1], [0, 2, 4, 2], [0, 0, 0, 0], [0, 0, -1, -1], [-2, 1, 0, -1], [3, 3, 2, -3], [4, 4, -10, -4], [0, 0, 0, 0]], 'ap': [[-1, 0, 0, 0], [0, 0, 1, 1], [0, 0, 0, 0], [-1, 1, 2, 0], [0, 2, 2, 2], [0, -1, 0, 1], [0, 1, 4, 1], [0, -2, -6, -2], [-4, 0, 0, 0], [0, 3, 4, 3], [0, 1, -4, 1], [0, -1, 2, -1], [0, -2, 0, 2], [0, 4, 0, 4], [0, -2, -4, -2], [-2, 2, 0, -2], [-2, -2, 0, 2], [0, 1, 6, 1], [0, 0, -12, 0], [0, -1, -6, -1], [-10, -1, 0, 1], [4, 4, 0, -4], [0, -7, -6, -7], [8, -2, 0, 2], [-2, 1, 0, -1], [-10, -2, 0, 2], [-6, -7, 0, 7], [-4, -6, 0, 6], [-2, -2, 0, 2], [2, -4, 0, 4], [0, 3, -4, 3], [-2, 6, 0, -6], [-6, 2, 0, -2], [0, -2, 14, -2], [0, -3, 8, -3], [16, 4, 0, -4], [8, 1, 0, -1], [0, 2, 8, 2], [0, -4, 4, -4], [0, 6, 2, 6], [0, 4, 10, 4], [0, -5, -10, -5], [0, 1, 6, 1], [0, 0, 6, 0], [-6, 2, 0, -2], [0, 5, 16, 5], [-8, 0, 0, 0], [14, 3, 0, -3], [0, -1, 2, -1], [0, -1, 10, -1], [14, -2, 0, 2], [0, -5, 6, -5], [0, 8, 8, 8], [-10, -2, 0, 2], [0, 5, 8, 5], [-8, -4, 0, 4], [-2, -2, 0, 2], [0, 3, 28, 3], [0, -9, -6, -9], [0, 0, 20, 0], [12, 1, 0, -1], [0, -6, 10, -6], [12, 5, 0, -5], [20, -2, 0, 2], [-2, -3, 0, 3], [6, 4, 0, -4], [8, -4, 0, 4], [0, 6, 14, 6], [0, -2, 0, 2], [0, -5, -14, -5], [0, 3, 24, 3], [0, 5, 6, 5], [2, 5, 0, -5], [0, 5, 26, 5], [8, 8, 0, -8], [0, 8, 4, 8], [0, -5, -24, -5], [-12, -9, 0, 9], [0, 2, 12, 2], [0, -6, 0, -6], [-22, -12, 0, 12], [-6, 2, 0, -2], [0, -11, -26, -11], [18, 7, 0, -7], [0, -5, -4, -5], [-16, -2, 0, 2], [0, 2, 8, 2], [0, 4, 22, 4], [-2, -4, 0, 4], [0, 5, 16, 5], [0, -3, -30, -3], [-28, -8, 0, 8], [0, 11, 4, 11], [0, 6, 6, 6], [-8, -8, 0, 8], [0, 10, 16, 10], [-18, 2, 0, -2], [-32, -4, 0, 4], [-24, -15, 0, 15], [26, 4, 0, -4], [0, -6, -28, -6], [10, -2, 0, 2], [0, -5, -34, -5], [0, 2, -12, 2], [4, 12, 0, -12], [2, 5, 0, -5], [0, 3, -14, 3], [0, 17, 8, 17], [0, 1, -38, 1], [0, -2, 8, -2], [18, 1, 0, -1], [0, -13, -22, -13], [2, 0, 0, 0], [0, 0, -14, 0], [4, -8, 0, 8], [0, 6, 16, 6], [-16, 3, 0, -3], [0, 12, 20, 12], [14, 8, 0, -8], [0, -2, 34, -2], [0, -3, 22, -3], [0, 2, -22, 2], [0, 0, 18, 0], [36, 0, 0, 0], [0, 4, -26, 4], [0, -13, -28, -13], [18, -2, 0, 2], [32, 2, 0, -2], [-30, 3, 0, -3], [4, 13, 0, -13], [-4, -4, 0, 4], [8, 2, 0, -2], [16, -6, 0, 6], [0, -7, 6, -7], [4, -8, 0, 8], [0, 0, 36, 0], [0, 6, -18, 6], [-40, 3, 0, -3], [0, 6, 14, 6], [0, -10, -24, -10], [0, 12, 22, 12], [0, -3, -28, -3], [0, 5, 16, 5], [24, 12, 0, -12], [0, 5, -14, 5], [-8, 2, 0, -2], [4, 3, 0, -3], [0, 7, -20, 7], [0, -4, 22, -4], [28, 2, 0, -2], [0, 7, 30, 7], [8, 6, 0, -6], [0, 8, 4, 8], [0, 2, -20, 2], [0, 2, -20, 2], [0, 7, 42, 7], [20, 20, 0, -20], [-28, -8, 0, 8], [-26, -13, 0, 13], [22, 0, 0, 0], [-48, -10, 0, 10], [30, -6, 0, 6], [0, -19, -16, -19], [-58, 0, 0, 0], [6, -6, 0, 6], [0, -6, 20, -6], [20, -2, 0, 2], [-24, -1, 0, 1], [-22, -12, 0, 12], [0, -10, 6, -10], [0, -4, -18, -4], [0, 11, 6, 11], [0, -7, 18, -7], [0, 0, 26, 0], [0, 1, -28, 1], [-12, -2, 0, 2], [8, 16, 0, -16], [0, 11, 16, 11], [26, 5, 0, -5], [0, 23, 14, 23], [0, 7, 0, 7], [2, -10, 0, 10], [0, -3, -42, -3], [0, -15, -32, -15], [-24, -10, 0, 10], [58, -2, 0, 2], [0, 19, 22, 19], [-16, -7, 0, 7], [-38, 2, 0, -2], [-4, 4, 0, -4], [-6, 13, 0, -13], [0, -16, 0, 16], [12, 20, 0, -20], [2, -20, 0, 20], [28, 16, 0, -16], [0, -11, 0, -11], [-18, -20, 0, 20], [0, 11, 22, 11], [0, -11, -8, -11], [0, -10, 16, -10], [0, 15, -4, 15], [0, 7, -28, 7], [8, -19, 0, 19], [0, 10, 36, 10], [-22, -2, 0, 2], [0, -6, -38, -6], [0, -11, 20, -11], [-16, -12, 0, 12], [0, 12, 48, 12], [0, -2, 38, -2], [0, 4, 22, 4], [-18, 10, 0, -10], [0, -23, -32, -23], [0, -11, 22, -11], [-4, 6, 0, -6], [0, -8, -8, -8], [0, -9, -16, -9], [-28, -20, 0, 20], [0, -12, 0, 12], [18, 22, 0, -22], [-42, -14, 0, 14], [0, -11, -20, -11], [0, 2, 28, 2], [0, -1, 40, -1], [0, 3, 26, 3], [18, -2, 0, 2], [0, -5, 16, -5], [0, 19, 10, 19], [-6, 7, 0, -7], [0, 6, -34, 6], [0, -3, -22, -3], [0, -10, -14, -10], [-12, 6, 0, -6], [0, 0, -20, 0], [-32, -13, 0, 13], [0, 0, 48, 0], [0, -2, -16, -2], [26, 30, 0, -30], [0, -4, -38, -4], [28, 26, 0, -26], [-40, 4, 0, -4], [0, -22, -22, -22], [-14, -5, 0, 5], [2, 12, 0, -12], [0, 3, -16, 3], [20, 20, 0, -20], [-34, -1, 0, 1], [-22, -4, 0, 4], [-8, -8, 0, 8], [36, 10, 0, -10], [0, 17, -10, 17], [0, 8, 0, -8], [-4, -6, 0, 6], [0, -20, -4, -20], [0, -12, 14, -12], [0, 10, 46, 10], [-18, -10, 0, 10], [44, 7, 0, -7], [0, 12, 50, 12], [26, -1, 0, 1], [0, -7, 44, -7], [0, -22, 0, 22], [0, 5, -34, 5], [4, -17, 0, 17], [0, -7, -4, -7], [0, -10, -34, -10], [0, 7, 28, 7], [12, 20, 0, -20], [0, -4, -68, -4], [-30, -16, 0, 16], [0, -13, -18, -13], [0, -8, 0, -8], [30, 19, 0, -19], [24, -6, 0, 6], [14, -13, 0, 13], [66, 5, 0, -5], [-16, 12, 0, -12], [-2, -2, 0, 2], [22, -10, 0, 10], [2, -20, 0, 20], [0, 12, 48, 12], [20, -2, 0, 2], [0, 10, 28, 10], [0, 23, 38, 23], [20, 23, 0, -23], [0, -3, 2, -3], [0, 6, 22, 6], [42, 20, 0, -20], [0, -9, -8, -9], [24, 24, 0, -24], [0, -19, -4, -19], [0, -1, 22, -1], [-18, -24, 0, 24], [34, -8, 0, 8], [0, -5, -54, -5], [-46, -16, 0, 16], [0, 1, 16, 1], [0, -4, 22, -4], [66, 16, 0, -16], [-20, 3, 0, -3], [18, 27, 0, -27], [62, 0, 0, 0], [-12, -2, 0, 2]], 'char_orbit_index': 4, 'field_poly': [1, 0, 3, 0, 1], 'hecke_orbit_code': 9007405446726682, 'hecke_ring_character_values': [[701, [-1, 0, 0, 0]], [127, [-1, 0, 0, 0]], [451, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 1], [-2, 1, 0, -1], [0, -1, 1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [1, 1, 1, 0], [0, 2, 0, 1], [-1, 1, -1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1050.2.d.c', 'level': 1050, 'maxp': 1999, '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': 4200, 'analytic_conductor': 8.38429221223444, 'char_conductor': 105, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1050, 2, [701, 127, 451], [1, 1, 1]], 'conrey_index': 1049, 'cusp_dim': 216, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 23], 'hecke_orbit_code': 206191985690, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 12, 12], 'label': '1050.2.d', 'level': 1050, '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': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 264, 'mf_new_dim': 48, 'num_forms': 8, 'prim_orbit_index': 7, 'relative_dim': 48, 'sturm_bound': 480, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 56, 0, 0, -16, 0, 40, 0, 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, -32, 0, -88, 0, 0, 20, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 56, 0, 0, 32, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, -8, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, -96, 0, 0, -80, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, -216, 0, 0, -64, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 184, 0, 0, 0, 0, 0, 0, 48, 0, 0, -96, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, -224, 0, 0, 64, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, -32, 0, 0, -288, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, -136, 0, 0, 0, 0, 0, 0, 144, 0, 0, -56, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 328, 0, -96, 0, 0, -68, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 304, 0, 0, 56, 0, 0, 0, 0, 456, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, -200, 0, 0, 0, 0, 0, 0, 160, 0, 0, 440, 0, 368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 96, 0, 0, -12, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 104, 0, 0, -40, 0, 0, 0, 0, -344, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 24, 0, 0, 0, 0, 0, 0, 520, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, -176, 0, 0, 80, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 80, 0, 0, 200, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 104, 0, 0, 0, 0, 0, 0, 24, 0, 0, 320, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -496, 0, 0, 172, 0, 0, 0, 0, 0, 0, -344, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 56, 0, 0, 88, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, -80, 0, 0, 0, 0, 0, 0, -16, 0, 0, -16, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 400, 0, 40, 0, 0, -440, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 408, 0, 0, 0, 0, 0, 0, -152, 0, 0, -216, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 8, 0, 0, 0, 0, 0, 0, -224, 0, 0, 128, 0, -560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -304, 0, -240, 0, 0, 124, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 272, 0, 0, -320, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, -120, 0, 0, 0, 0, 0, 0, 48, 0, 0, -320, 0, 184, 0, 0, 0, 0], '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: 630172
    {'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.2.b.a', 'target_level': 210, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
  • id: 630173
    {'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.2.b.a', 'target_level': 210, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
  • id: 630174
    {'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '210.2.b.b', 'target_level': 210, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
  • id: 630175
    {'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '210.2.b.b', 'target_level': 210, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
  • id: 630176
    {'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1050.2.b.a', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
  • id: 630177
    {'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1050.2.b.a', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
  • id: 630178
    {'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1050.2.b.c', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
  • id: 630179
    {'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1050.2.b.c', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
  • id: 630180
    {'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1050.2.d.a', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
  • id: 630181
    {'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1050.2.d.a', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
  • id: 630182
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1050.2.d.c', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
  • id: 630183
    {'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1050.2.d.c', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
  • id: 630184
    {'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1050.2.d.d', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
  • id: 630185
    {'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1050.2.d.d', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
  • id: 630186
    {'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1050.2.d.f', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
  • id: 630187
    {'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1050.2.d.f', 'target_level': 1050, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
  • id: 630188
    {'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1680.2.f.e', 'target_level': 1680, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
  • id: 630189
    {'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1680.2.f.e', 'target_level': 1680, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
  • id: 630190
    {'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1680.2.f.i', 'target_level': 1680, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
  • id: 630191
    {'conductor': 420, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.d.c', 'source_level': 1050, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1680.2.f.i', 'target_level': 1680, 'twist_class_label': '210.2.b.a', 'twist_class_level': 210, 'twisting_char_label': '420.w', 'twisting_char_orbit': 23, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1631500
    {'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 9007405446726682, 'p': 2}
  • id: 1631501
    {'charpoly_factorization': [[[9, -6, 2, -2, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 3}
  • id: 1631502
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007405446726682, 'p': 5}
  • id: 1631503
    {'charpoly_factorization': [[[49, 42, 18, 6, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 7}
  • id: 1631504
    {'charpoly_factorization': [[[20, 0, 1], 2]], 'hecke_orbit_code': 9007405446726682, 'p': 11}
  • id: 1631505
    {'charpoly_factorization': [[[-4, -2, 1], 2]], 'hecke_orbit_code': 9007405446726682, 'p': 13}
  • id: 1631506
    {'charpoly_factorization': [[[16, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 17}
  • id: 1631507
    {'charpoly_factorization': [[[16, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 19}
  • id: 1631508
    {'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 9007405446726682, 'p': 23}
  • id: 1631509
    {'charpoly_factorization': [[[1936, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 29}
  • id: 1631510
    {'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 31}
  • id: 1631511
    {'charpoly_factorization': [[[16, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 37}
  • id: 1631512
    {'charpoly_factorization': [[[-16, -4, 1], 2]], 'hecke_orbit_code': 9007405446726682, 'p': 41}
  • id: 1631513
    {'charpoly_factorization': [[[4096, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 43}
  • id: 1631514
    {'charpoly_factorization': [[[256, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 47}
  • id: 1631515
    {'charpoly_factorization': [[[-4, 8, 1], 2]], 'hecke_orbit_code': 9007405446726682, 'p': 53}
  • id: 1631516
    {'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 9007405446726682, 'p': 59}
  • id: 1631517
    {'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 61}
  • id: 1631518
    {'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 9007405446726682, 'p': 67}
  • id: 1631519
    {'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 71}
  • id: 1631520
    {'charpoly_factorization': [[[76, 18, 1], 2]], 'hecke_orbit_code': 9007405446726682, 'p': 73}
  • id: 1631521
    {'charpoly_factorization': [[[-80, 0, 1], 2]], 'hecke_orbit_code': 9007405446726682, 'p': 79}
  • id: 1631522
    {'charpoly_factorization': [[[59536, 0, 492, 0, 1], 1]], 'hecke_orbit_code': 9007405446726682, 'p': 83}
  • id: 1631523
    {'charpoly_factorization': [[[80, -20, 1], 2]], 'hecke_orbit_code': 9007405446726682, 'p': 89}
  • id: 1631524
    {'charpoly_factorization': [[[4, 6, 1], 2]], 'hecke_orbit_code': 9007405446726682, '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': 4, 'hecke_orbit': 3, 'label': '1050.2.d.c', 'level': 1050, 'portrait': 'data:image/png;base64,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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 30195265
    {'hecke_orbit_code': 9007405446726682, 'n': 1, 'trace_an': 4}
  • id: 30195266
    {'hecke_orbit_code': 9007405446726682, 'n': 2, 'trace_an': -4}
  • id: 30195267
    {'hecke_orbit_code': 9007405446726682, 'n': 3, 'trace_an': 2}
  • id: 30195268
    {'hecke_orbit_code': 9007405446726682, 'n': 4, 'trace_an': 4}
  • id: 30195269
    {'hecke_orbit_code': 9007405446726682, 'n': 5, 'trace_an': 0}
  • id: 30195270
    {'hecke_orbit_code': 9007405446726682, 'n': 6, 'trace_an': -2}
  • id: 30195271
    {'hecke_orbit_code': 9007405446726682, 'n': 7, 'trace_an': -6}
  • id: 30195272
    {'hecke_orbit_code': 9007405446726682, 'n': 8, 'trace_an': -4}
  • id: 30195273
    {'hecke_orbit_code': 9007405446726682, 'n': 9, 'trace_an': 0}
  • id: 30195274
    {'hecke_orbit_code': 9007405446726682, 'n': 10, 'trace_an': 0}
  • id: 30195275
    {'hecke_orbit_code': 9007405446726682, 'n': 11, 'trace_an': 0}
  • id: 30195276
    {'hecke_orbit_code': 9007405446726682, 'n': 12, 'trace_an': 2}
  • id: 30195277
    {'hecke_orbit_code': 9007405446726682, 'n': 13, 'trace_an': 4}
  • id: 30195278
    {'hecke_orbit_code': 9007405446726682, 'n': 14, 'trace_an': 6}
  • id: 30195279
    {'hecke_orbit_code': 9007405446726682, 'n': 15, 'trace_an': 0}
  • id: 30195280
    {'hecke_orbit_code': 9007405446726682, 'n': 16, 'trace_an': 4}
  • id: 30195281
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  • id: 30195282
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  • id: 30195283
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  • id: 30195284
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  • id: 30195285
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  • id: 30195286
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  • id: 30195287
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  • id: 30195288
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  • id: 30195289
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  • id: 30195290
    {'hecke_orbit_code': 9007405446726682, 'n': 26, 'trace_an': -4}
  • id: 30195291
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  • id: 30195292
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  • id: 30195293
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  • id: 30195294
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  • id: 30195295
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  • id: 30195296
    {'hecke_orbit_code': 9007405446726682, 'n': 32, 'trace_an': -4}
  • id: 30195297
    {'hecke_orbit_code': 9007405446726682, 'n': 33, 'trace_an': -20}
  • id: 30195298
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  • id: 30195299
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  • id: 30195300
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  • id: 30195301
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  • id: 30195302
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  • id: 30195303
    {'hecke_orbit_code': 9007405446726682, 'n': 39, 'trace_an': 12}
  • id: 30195304
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  • id: 30195305
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  • id: 30195306
    {'hecke_orbit_code': 9007405446726682, 'n': 42, 'trace_an': 16}
  • id: 30195307
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  • id: 30195308
    {'hecke_orbit_code': 9007405446726682, 'n': 44, 'trace_an': 0}
  • id: 30195309
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  • id: 30195310
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  • id: 30195311
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  • id: 30195312
    {'hecke_orbit_code': 9007405446726682, 'n': 48, 'trace_an': 2}
  • id: 30195313
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  • id: 30195314
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  • id: 30195315
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  • id: 30195316
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  • id: 30195317
    {'hecke_orbit_code': 9007405446726682, 'n': 53, 'trace_an': -16}
  • id: 30195318
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  • id: 30195319
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  • id: 30195320
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  • id: 30195321
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  • id: 30195322
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  • id: 30195323
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  • id: 30195324
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  • id: 30195325
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  • id: 30195326
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  • id: 30195327
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  • id: 30195328
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  • id: 30195329
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  • id: 30195330
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  • id: 30195331
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  • id: 30195332
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  • id: 30195333
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  • id: 30195334
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  • id: 30195335
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  • id: 30195336
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  • id: 30195337
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  • id: 30195338
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  • id: 30195339
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  • id: 30195340
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  • id: 30195341
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  • id: 30195342
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  • id: 30195343
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  • id: 30195344
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  • id: 30195345
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  • id: 30195346
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  • id: 30195347
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  • id: 30195348
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  • id: 30195349
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  • id: 30195350
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  • id: 30195351
    {'hecke_orbit_code': 9007405446726682, 'n': 87, 'trace_an': -32}
  • id: 30195352
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  • id: 30195353
    {'hecke_orbit_code': 9007405446726682, 'n': 89, 'trace_an': 40}
  • id: 30195354
    {'hecke_orbit_code': 9007405446726682, 'n': 90, 'trace_an': 0}
  • id: 30195355
    {'hecke_orbit_code': 9007405446726682, 'n': 91, 'trace_an': -16}
  • id: 30195356
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  • id: 30195357
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  • id: 30195358
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  • id: 30195359
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  • id: 30195360
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  • id: 30195361
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  • id: 30195362
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  • id: 30195363
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  • id: 30195364
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  • id: 30195365
    {'hecke_orbit_code': 9007405446726682, 'n': 101, 'trace_an': -32}
  • id: 30195366
    {'hecke_orbit_code': 9007405446726682, 'n': 103, 'trace_an': 4}
  • id: 30195367
    {'hecke_orbit_code': 9007405446726682, 'n': 107, 'trace_an': 8}
  • id: 30195368
    {'hecke_orbit_code': 9007405446726682, 'n': 109, 'trace_an': 0}
  • id: 30195369
    {'hecke_orbit_code': 9007405446726682, 'n': 113, 'trace_an': 24}
  • id: 30195370
    {'hecke_orbit_code': 9007405446726682, 'n': 121, 'trace_an': -36}
  • id: 30195371
    {'hecke_orbit_code': 9007405446726682, 'n': 125, 'trace_an': 0}
  • id: 30195372
    {'hecke_orbit_code': 9007405446726682, 'n': 127, 'trace_an': 0}
  • id: 30195373
    {'hecke_orbit_code': 9007405446726682, 'n': 128, 'trace_an': -4}
  • id: 30195374
    {'hecke_orbit_code': 9007405446726682, 'n': 131, 'trace_an': -32}
  • id: 30195375
    {'hecke_orbit_code': 9007405446726682, 'n': 137, 'trace_an': -32}
  • id: 30195376
    {'hecke_orbit_code': 9007405446726682, 'n': 139, 'trace_an': 0}
  • id: 30195377
    {'hecke_orbit_code': 9007405446726682, 'n': 149, 'trace_an': 0}
  • id: 30195378
    {'hecke_orbit_code': 9007405446726682, 'n': 151, 'trace_an': 48}
  • id: 30195379
    {'hecke_orbit_code': 9007405446726682, 'n': 157, 'trace_an': 28}
  • id: 30195380
    {'hecke_orbit_code': 9007405446726682, 'n': 163, 'trace_an': 0}
  • id: 30195381
    {'hecke_orbit_code': 9007405446726682, 'n': 167, 'trace_an': 0}
  • id: 30195382
    {'hecke_orbit_code': 9007405446726682, 'n': 169, 'trace_an': -28}
  • id: 30195383
    {'hecke_orbit_code': 9007405446726682, 'n': 173, 'trace_an': 0}
  • id: 30195384
    {'hecke_orbit_code': 9007405446726682, 'n': 179, 'trace_an': 0}
  • id: 30195385
    {'hecke_orbit_code': 9007405446726682, 'n': 181, 'trace_an': 0}
  • id: 30195386
    {'hecke_orbit_code': 9007405446726682, 'n': 191, 'trace_an': 0}
  • id: 30195387
    {'hecke_orbit_code': 9007405446726682, 'n': 193, 'trace_an': 0}
  • id: 30195388
    {'hecke_orbit_code': 9007405446726682, 'n': 197, 'trace_an': -32}
  • id: 30195389
    {'hecke_orbit_code': 9007405446726682, 'n': 199, 'trace_an': 0}
  • id: 30195390
    {'hecke_orbit_code': 9007405446726682, 'n': 211, 'trace_an': -32}
  • id: 30195391
    {'hecke_orbit_code': 9007405446726682, 'n': 223, 'trace_an': 44}
  • id: 30195392
    {'hecke_orbit_code': 9007405446726682, 'n': 227, 'trace_an': 0}
  • id: 30195393
    {'hecke_orbit_code': 9007405446726682, 'n': 229, 'trace_an': 0}
  • id: 30195394
    {'hecke_orbit_code': 9007405446726682, 'n': 233, 'trace_an': 64}
  • id: 30195395
    {'hecke_orbit_code': 9007405446726682, 'n': 239, 'trace_an': 0}
  • id: 30195396
    {'hecke_orbit_code': 9007405446726682, 'n': 241, 'trace_an': 0}
  • id: 30195397
    {'hecke_orbit_code': 9007405446726682, 'n': 243, 'trace_an': -38}
  • id: 30195398
    {'hecke_orbit_code': 9007405446726682, 'n': 251, 'trace_an': -32}
  • id: 30195399
    {'hecke_orbit_code': 9007405446726682, 'n': 256, 'trace_an': 4}
  • id: 30195400
    {'hecke_orbit_code': 9007405446726682, 'n': 257, 'trace_an': 0}
  • id: 30195401
    {'hecke_orbit_code': 9007405446726682, 'n': 263, 'trace_an': -16}
  • id: 30195402
    {'hecke_orbit_code': 9007405446726682, 'n': 269, 'trace_an': 0}
  • id: 30195403
    {'hecke_orbit_code': 9007405446726682, 'n': 271, 'trace_an': 0}
  • id: 30195404
    {'hecke_orbit_code': 9007405446726682, 'n': 277, 'trace_an': 0}
  • id: 30195405
    {'hecke_orbit_code': 9007405446726682, 'n': 281, 'trace_an': 0}
  • id: 30195406
    {'hecke_orbit_code': 9007405446726682, 'n': 283, 'trace_an': 44}
  • id: 30195407
    {'hecke_orbit_code': 9007405446726682, 'n': 289, 'trace_an': 12}
  • id: 30195408
    {'hecke_orbit_code': 9007405446726682, 'n': 293, 'trace_an': 0}
  • id: 30195409
    {'hecke_orbit_code': 9007405446726682, 'n': 307, 'trace_an': 28}
  • id: 30195410
    {'hecke_orbit_code': 9007405446726682, 'n': 311, 'trace_an': 88}
  • id: 30195411
    {'hecke_orbit_code': 9007405446726682, 'n': 313, 'trace_an': 4}
  • id: 30195412
    {'hecke_orbit_code': 9007405446726682, 'n': 317, 'trace_an': 8}
  • id: 30195413
    {'hecke_orbit_code': 9007405446726682, 'n': 331, 'trace_an': 48}
  • id: 30195414
    {'hecke_orbit_code': 9007405446726682, 'n': 337, 'trace_an': 0}
  • id: 30195415
    {'hecke_orbit_code': 9007405446726682, 'n': 343, 'trace_an': -18}
  • id: 30195416
    {'hecke_orbit_code': 9007405446726682, 'n': 347, 'trace_an': 8}
  • id: 30195417
    {'hecke_orbit_code': 9007405446726682, 'n': 349, 'trace_an': 0}
  • id: 30195418
    {'hecke_orbit_code': 9007405446726682, 'n': 353, 'trace_an': 0}
  • id: 30195419
    {'hecke_orbit_code': 9007405446726682, 'n': 359, 'trace_an': 0}
  • id: 30195420
    {'hecke_orbit_code': 9007405446726682, 'n': 361, 'trace_an': -68}
  • id: 30195421
    {'hecke_orbit_code': 9007405446726682, 'n': 367, 'trace_an': -12}
  • id: 30195422
    {'hecke_orbit_code': 9007405446726682, 'n': 373, 'trace_an': 0}
  • id: 30195423
    {'hecke_orbit_code': 9007405446726682, 'n': 379, 'trace_an': 0}
  • id: 30195424
    {'hecke_orbit_code': 9007405446726682, 'n': 383, 'trace_an': 0}
  • id: 30195425
    {'hecke_orbit_code': 9007405446726682, 'n': 389, 'trace_an': 0}
  • id: 30195426
    {'hecke_orbit_code': 9007405446726682, 'n': 397, 'trace_an': -12}
  • id: 30195427
    {'hecke_orbit_code': 9007405446726682, 'n': 401, 'trace_an': 0}
  • id: 30195428
    {'hecke_orbit_code': 9007405446726682, 'n': 409, 'trace_an': 0}
  • id: 30195429
    {'hecke_orbit_code': 9007405446726682, 'n': 419, 'trace_an': -40}
  • id: 30195430
    {'hecke_orbit_code': 9007405446726682, 'n': 421, 'trace_an': -32}
  • id: 30195431
    {'hecke_orbit_code': 9007405446726682, 'n': 431, 'trace_an': 0}
  • id: 30195432
    {'hecke_orbit_code': 9007405446726682, 'n': 433, 'trace_an': 44}
  • id: 30195433
    {'hecke_orbit_code': 9007405446726682, 'n': 439, 'trace_an': 0}
  • id: 30195434
    {'hecke_orbit_code': 9007405446726682, 'n': 443, 'trace_an': -56}
  • id: 30195435
    {'hecke_orbit_code': 9007405446726682, 'n': 449, 'trace_an': 0}
  • id: 30195436
    {'hecke_orbit_code': 9007405446726682, 'n': 457, 'trace_an': 0}
  • id: 30195437
    {'hecke_orbit_code': 9007405446726682, 'n': 461, 'trace_an': 8}
  • id: 30195438
    {'hecke_orbit_code': 9007405446726682, 'n': 463, 'trace_an': 0}
  • id: 30195439
    {'hecke_orbit_code': 9007405446726682, 'n': 467, 'trace_an': 0}
  • id: 30195440
    {'hecke_orbit_code': 9007405446726682, 'n': 479, 'trace_an': -80}
  • id: 30195441
    {'hecke_orbit_code': 9007405446726682, 'n': 487, 'trace_an': 0}
  • id: 30195442
    {'hecke_orbit_code': 9007405446726682, 'n': 491, 'trace_an': 0}
  • id: 30195443
    {'hecke_orbit_code': 9007405446726682, 'n': 499, 'trace_an': 0}
  • id: 30195444
    {'hecke_orbit_code': 9007405446726682, 'n': 503, 'trace_an': 0}
  • id: 30195445
    {'hecke_orbit_code': 9007405446726682, 'n': 509, 'trace_an': -80}
  • id: 30195446
    {'hecke_orbit_code': 9007405446726682, 'n': 512, 'trace_an': -4}
  • id: 30195447
    {'hecke_orbit_code': 9007405446726682, 'n': 521, 'trace_an': -112}
  • id: 30195448
    {'hecke_orbit_code': 9007405446726682, 'n': 523, 'trace_an': -36}
  • id: 30195449
    {'hecke_orbit_code': 9007405446726682, 'n': 529, 'trace_an': -28}
  • id: 30195450
    {'hecke_orbit_code': 9007405446726682, 'n': 541, 'trace_an': 88}
  • id: 30195451
    {'hecke_orbit_code': 9007405446726682, 'n': 547, 'trace_an': 0}
  • id: 30195452
    {'hecke_orbit_code': 9007405446726682, 'n': 557, 'trace_an': 48}
  • id: 30195453
    {'hecke_orbit_code': 9007405446726682, 'n': 563, 'trace_an': 0}
  • id: 30195454
    {'hecke_orbit_code': 9007405446726682, 'n': 569, 'trace_an': 0}
  • id: 30195455
    {'hecke_orbit_code': 9007405446726682, 'n': 571, 'trace_an': -32}
  • id: 30195456
    {'hecke_orbit_code': 9007405446726682, 'n': 577, 'trace_an': -12}
  • id: 30195457
    {'hecke_orbit_code': 9007405446726682, 'n': 587, 'trace_an': 0}
  • id: 30195458
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  • id: 30195459
    {'hecke_orbit_code': 9007405446726682, 'n': 599, 'trace_an': 0}
  • id: 30195460
    {'hecke_orbit_code': 9007405446726682, 'n': 601, 'trace_an': 0}
  • id: 30195461
    {'hecke_orbit_code': 9007405446726682, 'n': 607, 'trace_an': 68}
  • id: 30195462
    {'hecke_orbit_code': 9007405446726682, 'n': 613, 'trace_an': 0}
  • id: 30195463
    {'hecke_orbit_code': 9007405446726682, 'n': 617, 'trace_an': 8}
  • id: 30195464
    {'hecke_orbit_code': 9007405446726682, 'n': 619, 'trace_an': 0}
  • id: 30195465
    {'hecke_orbit_code': 9007405446726682, 'n': 625, 'trace_an': 0}
  • id: 30195466
    {'hecke_orbit_code': 9007405446726682, 'n': 631, 'trace_an': 48}
  • id: 30195467
    {'hecke_orbit_code': 9007405446726682, 'n': 641, 'trace_an': 0}
  • id: 30195468
    {'hecke_orbit_code': 9007405446726682, 'n': 643, 'trace_an': -76}
  • id: 30195469
    {'hecke_orbit_code': 9007405446726682, 'n': 647, 'trace_an': 0}
  • id: 30195470
    {'hecke_orbit_code': 9007405446726682, 'n': 653, 'trace_an': 24}
  • id: 30195471
    {'hecke_orbit_code': 9007405446726682, 'n': 659, 'trace_an': 0}
  • id: 30195472
    {'hecke_orbit_code': 9007405446726682, 'n': 661, 'trace_an': 0}
  • id: 30195473
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  • id: 30195474
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  • id: 30195475
    {'hecke_orbit_code': 9007405446726682, 'n': 683, 'trace_an': 144}
  • id: 30195476
    {'hecke_orbit_code': 9007405446726682, 'n': 691, 'trace_an': 0}
  • id: 30195477
    {'hecke_orbit_code': 9007405446726682, 'n': 701, 'trace_an': 0}
  • id: 30195478
    {'hecke_orbit_code': 9007405446726682, 'n': 709, 'trace_an': 80}
  • id: 30195479
    {'hecke_orbit_code': 9007405446726682, 'n': 719, 'trace_an': 120}
  • id: 30195480
    {'hecke_orbit_code': 9007405446726682, 'n': 727, 'trace_an': -132}
  • id: 30195481
    {'hecke_orbit_code': 9007405446726682, 'n': 729, 'trace_an': 0}
  • id: 30195482
    {'hecke_orbit_code': 9007405446726682, 'n': 733, 'trace_an': -36}
  • id: 30195483
    {'hecke_orbit_code': 9007405446726682, 'n': 739, 'trace_an': 0}
  • id: 30195484
    {'hecke_orbit_code': 9007405446726682, 'n': 743, 'trace_an': 24}
  • id: 30195485
    {'hecke_orbit_code': 9007405446726682, 'n': 751, 'trace_an': 88}
  • id: 30195486
    {'hecke_orbit_code': 9007405446726682, 'n': 757, 'trace_an': 0}
  • id: 30195487
    {'hecke_orbit_code': 9007405446726682, 'n': 761, 'trace_an': 48}
  • id: 30195488
    {'hecke_orbit_code': 9007405446726682, 'n': 769, 'trace_an': 0}
  • id: 30195489
    {'hecke_orbit_code': 9007405446726682, 'n': 773, 'trace_an': 0}
  • id: 30195490
    {'hecke_orbit_code': 9007405446726682, 'n': 787, 'trace_an': -172}
  • id: 30195491
    {'hecke_orbit_code': 9007405446726682, 'n': 797, 'trace_an': 0}
  • id: 30195492
    {'hecke_orbit_code': 9007405446726682, 'n': 809, 'trace_an': 0}
  • id: 30195493
    {'hecke_orbit_code': 9007405446726682, 'n': 811, 'trace_an': 0}
  • id: 30195494
    {'hecke_orbit_code': 9007405446726682, 'n': 821, 'trace_an': 0}
  • id: 30195495
    {'hecke_orbit_code': 9007405446726682, 'n': 823, 'trace_an': 0}
  • id: 30195496
    {'hecke_orbit_code': 9007405446726682, 'n': 827, 'trace_an': 48}
  • id: 30195497
    {'hecke_orbit_code': 9007405446726682, 'n': 829, 'trace_an': 0}
  • id: 30195498
    {'hecke_orbit_code': 9007405446726682, 'n': 839, 'trace_an': -40}
  • id: 30195499
    {'hecke_orbit_code': 9007405446726682, 'n': 841, 'trace_an': -68}
  • id: 30195500
    {'hecke_orbit_code': 9007405446726682, 'n': 853, 'trace_an': 4}
  • id: 30195501
    {'hecke_orbit_code': 9007405446726682, 'n': 857, 'trace_an': 0}
  • id: 30195502
    {'hecke_orbit_code': 9007405446726682, 'n': 859, 'trace_an': 0}
  • id: 30195503
    {'hecke_orbit_code': 9007405446726682, 'n': 863, 'trace_an': 104}
  • id: 30195504
    {'hecke_orbit_code': 9007405446726682, 'n': 877, 'trace_an': 0}
  • id: 30195505
    {'hecke_orbit_code': 9007405446726682, 'n': 881, 'trace_an': 8}
  • id: 30195506
    {'hecke_orbit_code': 9007405446726682, 'n': 883, 'trace_an': 0}
  • id: 30195507
    {'hecke_orbit_code': 9007405446726682, 'n': 887, 'trace_an': 0}
  • id: 30195508
    {'hecke_orbit_code': 9007405446726682, 'n': 907, 'trace_an': 0}
  • id: 30195509
    {'hecke_orbit_code': 9007405446726682, 'n': 911, 'trace_an': 0}
  • id: 30195510
    {'hecke_orbit_code': 9007405446726682, 'n': 919, 'trace_an': 0}
  • id: 30195511
    {'hecke_orbit_code': 9007405446726682, 'n': 929, 'trace_an': -80}
  • id: 30195512
    {'hecke_orbit_code': 9007405446726682, 'n': 937, 'trace_an': -52}
  • id: 30195513
    {'hecke_orbit_code': 9007405446726682, 'n': 941, 'trace_an': 88}
  • id: 30195514
    {'hecke_orbit_code': 9007405446726682, 'n': 947, 'trace_an': -152}
  • id: 30195515
    {'hecke_orbit_code': 9007405446726682, 'n': 953, 'trace_an': 144}
  • id: 30195516
    {'hecke_orbit_code': 9007405446726682, 'n': 961, 'trace_an': 4}
  • id: 30195517
    {'hecke_orbit_code': 9007405446726682, 'n': 967, 'trace_an': 0}
  • id: 30195518
    {'hecke_orbit_code': 9007405446726682, 'n': 971, 'trace_an': -232}
  • id: 30195519
    {'hecke_orbit_code': 9007405446726682, 'n': 977, 'trace_an': 48}
  • id: 30195520
    {'hecke_orbit_code': 9007405446726682, 'n': 983, 'trace_an': 0}
  • id: 30195521
    {'hecke_orbit_code': 9007405446726682, 'n': 991, 'trace_an': 88}
  • id: 30195522
    {'hecke_orbit_code': 9007405446726682, 'n': 997, 'trace_an': -92}