Number field data - 8.0.1601613.1

Formats: - HTML - YAML - JSON - 2024-04-25T14:59:37.885437

• 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': [1, 0, -2, 3, 3, -3, -2, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 1601613, 'disc_rad': 39, 'disc_sign': 1, 'frobs': [[2, [[8, 1]]], [3, [0]], [5, [[8, 1]]], [7, [[4, 1], [2, 2]]], [11, [[8, 1]]], [13, [0]], [17, [[2, 4]]], [19, [[4, 1], [2, 2]]], [23, [[2, 4]]], [29, [[4, 2]]], [31, [[4, 1], [1, 4]]], [37, [[4, 1], [1, 4]]], [41, [[8, 1]]], [43, [[2, 2], [1, 4]]], [47, [[8, 1]]], [53, [[4, 2]]], [59, [[8, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 24], 'galois_label': '8T17', 'galt': 17, 'grd': 15.606246247497747, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.0.1601613.1', 'local_algs': ['3.8.6.1', '13.4.3.4', '13.4.0.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 4, 'ramps': [3, 13], 'rd': 5.9644403303, 'regulator': {'__RealLiteral__': 0, 'data': '1.10095849199', 'prec': 44}, 'res': {'sib': ['1,-3,1,-3,19,-27,7,33,-47,33,7,-27,19,-3,1,-3,1', '1,-3,3,-6,13,6,-30,-9,51,-9,-30,6,13,-6,3,-3,1']}, 'subfield_mults': [1, 1], 'subfields': ['1.-1.1', '1.1.-1.-1.1'], 'torsion_gen': '\\( 3 a^{7} - a^{6} - 4 a^{5} - 7 a^{4} + 10 a^{3} + a^{2} - 4 a + 3 \\)', 'torsion_order': 6, 'units': ['\\( a^{7} - a^{5} - 3 a^{4} + 2 a^{3} + 1 \\)', '\\( 2 a^{7} - a^{6} - 3 a^{5} - 5 a^{4} + 7 a^{3} + a^{2} - 2 a + 2 \\)', '\\( a^{7} - 2 a^{6} - 2 a^{5} - a^{4} + 8 a^{3} - 2 a^{2} - 3 a + 3 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7']}