Number field data - 3.1.35643.1

Formats: - HTML - YAML - JSON - 2025-11-23T08:23:01.593154

• 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[]
  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
  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': [3], 'class_number': 3, 'cm': False, 'coeffs': [-109, 0, 0, 1], 'conductor': 0, 'degree': 3, 'dirichlet_group': [], 'disc_abs': 35643, 'disc_rad': 327, 'disc_sign': -1, 'frobs': [[2, [[2, 1], [1, 1]]], [3, [0]], [5, [[2, 1], [1, 1]]], [7, [[3, 1]]], [11, [[2, 1], [1, 1]]], [13, [[1, 3]]], [17, [[2, 1], [1, 1]]], [19, [[3, 1]]], [23, [[2, 1], [1, 1]]], [29, [[2, 1], [1, 1]]], [31, [[1, 3]]], [37, [[3, 1]]], [41, [[2, 1], [1, 1]]], [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': [3, 4], 'galois_label': '3T2', 'galt': 2, 'grd': 39.52255016061654, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '3.1.35643.1', 'local_algs': ['3.1.1.0a1.1', '3.1.2.1a1.1', '109.1.3.2a1.1'], 'monogenic': -1, 'narrow_class_group': [3], 'narrow_class_number': 3, 'num_ram': 2, 'r2': 1, 'ramps': [3, 109], 'rd': 32.9097626568, 'regulator': {'__RealLiteral__': 0, 'data': '19.5438703703', 'prec': 44}, 'res': {'gal': ['432,36,-35,-3,4,-3,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 84 a^{2} + 1890 a - 10945 \\)'], 'unitsGmodule': [[3, 1]], 'used_grh': False, 'zk': ['1', 'a', '1/3*a^2 + 1/3*a + 1/3']}