Number field data - 29.1.95653763158682316984666963239307580132923051291198754126363357.1

Formats: - HTML - YAML - JSON - 2024-04-30T21:34:15.713114

• 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[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  used_grh	boolean
  dirichlet_group	bigint[]
  frobs	jsonb
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'cm': False, 'coeffs': [-5, 2, 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': 29, 'dirichlet_group': [], 'disc_abs': 95653763158682316984666963239307580132923051291198754126363357, 'disc_rad': 95653763158682316984666963239307580132923051291198754126363357, 'disc_sign': 1, 'frobs': [[2, [[28, 1], [1, 1]]], [3, [[22, 1], [4, 1], [3, 1]]], [5, [[12, 2], [4, 1], [1, 1]]], [7, [[18, 1], [7, 1], [4, 1]]], [11, [[29, 1]]], [13, [[20, 1], [8, 1], [1, 1]]], [17, [[20, 1], [5, 1], [2, 1], [1, 2]]], [19, [[23, 1], [3, 1], [2, 1], [1, 1]]], [23, [[20, 1], [3, 2], [2, 1], [1, 1]]], [29, [[28, 1], [1, 1]]], [31, [[13, 1], [12, 1], [4, 1]]], [37, [[26, 1], [3, 1]]], [41, [[19, 1], [6, 1], [4, 1]]], [43, [[27, 1], [1, 2]]], [47, [[19, 1], [7, 1], [2, 1], [1, 1]]], [53, [[14, 1], [4, 3], [2, 1], [1, 1]]], [59, [[26, 1], [3, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [4420880996869850977271808000000, 4420880996869850977271808000000, 4420880996869850977271808000000], 'galois_label': '29T8', 'galt': 8, 'grd': 9.780274186273221e+30, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '29.1.95653763158682316984666963239307580132923051291198754126363357.1', 'local_algs': ['m249943.1.1.0', 'm249943.2.1.1', 'm249943.1.5.0', 'm249943.1.21.0', 'm26856873607.1.1.0', 'm26856873607.2.1.1', 'm26856873607.1.3.0', 'm26856873607.1.6.0', 'm26856873607.1.7.0', 'm26856873607.1.10.0', 'm14249696906693522454650828582541268055898962557.2.1.1', 'm14249696906693522454650828582541268055898962557.1.6.0', 'm14249696906693522454650828582541268055898962557.1.21.0'], 'monogenic': 1, 'num_ram': 3, 'r2': 14, 'ramps': [249943, 26856873607, 14249696906693522454650828582541268055898962557], 'rd': 137.17203711, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'used_grh': True, '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']}