Number field data - 43.1.76278721946245792796543050878464477850730861202878156857131538565555284161188593664.1

Formats: - HTML - YAML - JSON - 2026-05-25T14:52:30.253177

• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  maximal_cm_subfield	numeric[]
  maxp	numeric
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'cm': False, 'coeffs': [-2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 43, 'disc_abs': 76278721946245792796543050878464477850730861202878156857131538565555284161188593664, 'disc_rad': 17343773367030233384080713876406770816795610972548765143331260916410266, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '43T10', 'galt': 10, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '43.1.76278721946245792796543050878464477850730861202878156857131538565555284161188593664.1', 'local_algs': ['2.1.1.0a1.1', '2.1.2.3a1.2', '2.2.2.4a1.2', '2.3.2.6a3.2', '2.3.2.6a3.1', '2.6.2.12a12.1', '2.6.2.12a12.1', 'm20380951.2.1.1', 'm20380951.1.3.0', 'm20380951.1.38.0', 'm61480213.2.1.1', 'm61480213.1.41.0', 'm6920759952665299941538917396384169453478934159485941391.1.1.0', 'm6920759952665299941538917396384169453478934159485941391.2.1.1', 'm6920759952665299941538917396384169453478934159485941391.1.3.0', 'm6920759952665299941538917396384169453478934159485941391.1.4.0', 'm6920759952665299941538917396384169453478934159485941391.1.16.0', 'm6920759952665299941538917396384169453478934159485941391.1.17.0'], 'maxp': 6920759952665299941538917396384169453478934159485941391, 'monogenic': 1, 'num_ram': 4, 'r2': 21, 'ramps': [2, 20380951, 61480213, 6920759952665299941538917396384169453478934159485941391], 'rd': 84.6248191691, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'used_grh': True}
• nf_fields_extra •

  Column	Type
  dirichlet_group	bigint[]
  frobs	jsonb
  label	text
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'dirichlet_group': [], 'frobs': [[2, [0]], [3, [[37, 1], [6, 1]]], [5, [[18, 1], [10, 1], [7, 1], [5, 1], [3, 1]]], [7, [[29, 1], [9, 1], [3, 1], [2, 1]]], [11, [[42, 1], [1, 1]]], [13, [[29, 1], [14, 1]]], [17, [[17, 1], [15, 1], [5, 1], [4, 1], [2, 1]]], [19, [[13, 1], [11, 2], [4, 1], [3, 1], [1, 1]]], [23, [[24, 1], [8, 1], [7, 1], [2, 1], [1, 2]]], [29, [[34, 1], [7, 1], [2, 1]]], [31, [[34, 1], [4, 1], [3, 1], [1, 2]]], [37, [[36, 1], [6, 1], [1, 1]]], [41, [[19, 1], [10, 1], [7, 1], [6, 1], [1, 1]]], [43, [[43, 1]]], [47, [[16, 1], [11, 1], [9, 1], [5, 1], [2, 1]]], [53, [[30, 1], [5, 1], [3, 1], [2, 1], [1, 3]]], [59, [[40, 1], [1, 3]]]], 'label': '43.1.76278721946245792796543050878464477850730861202878156857131538565555284161188593664.1', 'torsion_gen': '\\( -1 \\)', 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17', 'a^18', 'a^19', 'a^20', 'a^21', 'a^22', 'a^23', 'a^24', 'a^25', 'a^26', 'a^27', 'a^28', 'a^29', 'a^30', 'a^31', 'a^32', 'a^33', 'a^34', 'a^35', 'a^36', 'a^37', 'a^38', 'a^39', 'a^40', 'a^41', 'a^42']}