Number field data - 4.2.1823.1

Formats: - HTML - YAML - JSON - 2024-06-06T14:53:42.726083

• 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

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-2, 3, 0, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 1823, 'disc_rad': 1823, 'disc_sign': -1, 'frobs': [[2, [[3, 1], [1, 1]]], [3, [[3, 1], [1, 1]]], [5, [[4, 1]]], [7, [[2, 2]]], [11, [[2, 2]]], [13, [[2, 2]]], [17, [[3, 1], [1, 1]]], [19, [[3, 1], [1, 1]]], [23, [[4, 1]]], [29, [[3, 1], [1, 1]]], [31, [[2, 1], [1, 2]]], [37, [[3, 1], [1, 1]]], [41, [[4, 1]]], [43, [[4, 1]]], [47, [[4, 1]]], [53, [[2, 1], [1, 2]]], [59, [[4, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12], 'galois_label': '4T5', 'galt': 5, 'grd': 42.69660408041839, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.2.1823.1', 'local_algs': ['m1823.1.1.0', 'm1823.1.1.0', 'm1823.2.1.1'], 'monogenic': 1, 'num_ram': 1, 'r2': 1, 'ramps': [1823], 'rd': 6.53426385145, 'regulator': {'__RealLiteral__': 0, 'data': '2.28192620748', 'prec': 44}, 'res': {'gal': ['2178824,-699648,2537850,-1543953,1344672,-69880,-491250,52230,546672,-615724,310963,-98124,106760,-189072,212016,-165364,97814,-45835,17660,-5784,1666,-414,84,-12,1'], 'sib': ['-7,-5,5,-1,3,-3,1', '-8,4,-4,-103,39,-167,17,-35,33,0,10,-3,1', '12658,6209,2024,378,-168,-4,2,-4,1', '1400,-12,-8,39,-17,-3,1', '5929,0,3134,0,113,0,62,0,70,0,8,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} + 3 \\)', '\\( a^{3} - a^{2} + a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}