Number field data - 4.0.223093.1

Formats: - HTML - YAML - JSON - 2024-12-02T19:18:01.496897

• 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': [5], 'class_number': 5, 'cm': False, 'coeffs': [63, 11, -10, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 223093, 'disc_rad': 1703, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [[1, 4]]], [5, [[2, 1], [1, 2]]], [7, [[2, 1], [1, 2]]], [11, [[2, 1], [1, 2]]], [13, [0]], [17, [[2, 2]]], [19, [[4, 1]]], [23, [[2, 2]]], [29, [[2, 2]]], [31, [[4, 1]]], [37, [[4, 1]]], [41, [[2, 1], [1, 2]]], [43, [[2, 2]]], [47, [[4, 1]]], [53, [[2, 2]]], [59, [[2, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 41.2674205639267, 'index': 3, 'inessentialp': [3], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '4.0.223093.1', 'local_algs': ['13.2.0.1', '13.2.1.2', '131.4.2.1'], 'minimal_sibling': [-9, -11, -7, -1, 1], 'monogenic': -1, 'num_ram': 2, 'r2': 2, 'ramps': [13, 131], 'rd': 21.7330903713, 'regulator': {'__RealLiteral__': 0, 'data': '10.3540745779', 'prec': 44}, 'res': {'gal': ['1296,0,468,0,409,0,13,0,1'], 'sib': ['-9,-11,-7,-1,1', '1296,0,468,0,409,0,13,0,1']}, 'subfield_mults': [1], 'subfields': ['33.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{31}{9} a^{3} - \\frac{2}{3} a^{2} - \\frac{412}{9} a - 88 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/9*a^3 + 1/3*a^2 - 4/9*a']}