Number field data - 3.1.165699.2

Formats: - HTML - YAML - JSON - 2025-01-07T03:30:25.203962

• 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
  relative_class_number	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

  
  {'class_group': [6], 'class_number': 6, 'cm': False, 'coeffs': [-475, -114, 0, 1], 'conductor': 0, 'degree': 3, 'dirichlet_group': [], 'disc_abs': 165699, 'disc_rad': 969, 'disc_sign': -1, 'frobs': [[2, [[2, 1], [1, 1]]], [3, [0]], [5, [[1, 3]]], [7, [[2, 1], [1, 1]]], [11, [[3, 1]]], [13, [[3, 1]]], [17, [0]], [19, [0]], [23, [[1, 3]]], [29, [[3, 1]]], [31, [[2, 1], [1, 1]]], [37, [[2, 1], [1, 1]]], [41, [[1, 3]]], [43, [[3, 1]]], [47, [[2, 1], [1, 1]]], [53, [[2, 1], [1, 1]]], [59, [[2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [7, 3, 4], 'galois_label': '3T2', 'galt': 2, 'grd': 105.77141763549201, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '3.1.165699.2', 'local_algs': ['3.3.3.1', '17.1.0.1', '17.2.1.2', '19.3.2.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 1, 'ramps': [3, 17, 19], 'rd': 54.925408526, 'regulator': {'__RealLiteral__': 0, 'data': '21.5961748723', 'prec': 44}, 'res': {'gal': ['22780,-2244,2325,-163,84,-3,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2480 a^{2} - 13118 a - 216143 \\)'], 'unitsGmodule': [[4, 1]], 'used_grh': False, 'zk': ['1', 'a', 'a^2']}