Number field data - 4.2.451632.1

Formats: - HTML - YAML - JSON - 2024-12-30T16:41:46.287406

• 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': [2], 'class_number': 2, 'cm': False, 'coeffs': [-12, 0, -7, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 451632, 'disc_rad': 582, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [[4, 1]]], [7, [[2, 2]]], [11, [[2, 1], [1, 2]]], [13, [[2, 2]]], [17, [[4, 1]]], [19, [[2, 2]]], [23, [[4, 1]]], [29, [[4, 1]]], [31, [[1, 4]]], [37, [[2, 2]]], [41, [[4, 1]]], [43, [[1, 4]]], [47, [[2, 1], [1, 2]]], [53, [[2, 1], [1, 2]]], [59, [[4, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 34.11744421846396, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '4.2.451632.1', 'local_algs': ['2.2.2.1', '2.2.2.2', '3.1.0.1', '3.1.0.1', '3.2.1.2', '97.4.2.1'], 'minimal_sibling': [97, 0, 19, 0, 1], 'monogenic': -1, 'num_ram': 3, 'r2': 1, 'ramps': [2, 3, 97], 'rd': 25.9236516204, 'regulator': {'__RealLiteral__': 0, 'data': '76.5184981458', 'prec': 44}, 'res': {'gal': ['144,0,-84,0,61,0,7,0,1'], 'sib': ['97,0,19,0,1', '144,0,-84,0,61,0,7,0,1']}, 'subfield_mults': [1], 'subfields': ['-24.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} + 3 a^{2} + 2 a + 5 \\)', '\\( 1138 a^{2} - 9587 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2*a^3 - 1/2*a']}