Number field data - 12.0.334874047209198762552459264.5

Formats: - HTML - YAML - JSON - 2024-06-12T23:23:43.981669

• 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': [42, 27090], 'class_number': 1137780, 'cm': True, 'coeffs': [51520374361, 0, 30405466836, 0, 1453813305, 0, 25421872, 0, 200934, 0, 732, 0, 1], 'conductor': 4392, 'degree': 12, 'dirichlet_group': [1, 1219, 1829, 365, 4271, 2929, 4147, 2807, 1465, 2683, 3293, 1343], 'disc_abs': 334874047209198762552459264, 'disc_rad': 366, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[6, 2]]], [7, [[6, 2]]], [11, [[6, 2]]], [13, [[6, 2]]], [17, [[2, 6]]], [19, [[2, 6]]], [23, [[3, 4]]], [29, [[6, 2]]], [31, [[6, 2]]], [37, [[1, 12]]], [41, [[6, 2]]], [43, [[6, 2]]], [47, [[6, 2]]], [53, [[2, 6]]], [59, [[6, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 18, 6], 'galois_label': '12T2', 'galt': 2, 'grd': 162.3329911016242, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 5, 'label': '12.0.334874047209198762552459264.5', 'local_algs': ['2.12.24.318', '3.6.9.3', '3.6.9.3', '61.6.3.2', '61.6.3.2'], 'monogenic': 0, 'num_ram': 3, 'r2': 6, 'ramps': [2, 3, 61], 'rd': 162.332991102, 'regulator': {'__RealLiteral__': 0, 'data': '325.67540279491664', 'prec': 60}, 'subfield_mults': [1, 1, 1, 1, 1, 1, 1, 1], 'subfields': ['122.0.1', '-3.0.1', '366.0.1', '-1.-3.0.1', '3721.0.244.0.1', '1906251.738.44661.-2.360.0.1', '-3.0.9.0.-6.0.1', '5447544.0.133956.0.732.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{13845841} a^{8} + \\frac{8}{226981} a^{6} + \\frac{19}{3721} a^{4} + \\frac{12}{61} a^{2} \\)', '\\( \\frac{1}{3721} a^{4} + \\frac{4}{61} a^{2} + 2 \\)', '\\( \\frac{1}{844596301} a^{10} + \\frac{10}{13845841} a^{8} + \\frac{35}{226981} a^{6} + \\frac{50}{3721} a^{4} + \\frac{25}{61} a^{2} + 1 \\)', '\\( \\frac{1}{61} a^{2} + 3 \\)', '\\( \\frac{1}{844596301} a^{10} + \\frac{10}{13845841} a^{8} + \\frac{35}{226981} a^{6} + \\frac{50}{3721} a^{4} + \\frac{24}{61} a^{2} - 1 \\)'], 'used_grh': True, 'zk': ['1', 'a', '1/61*a^2', '1/61*a^3', '1/3721*a^4', '1/3721*a^5', '1/226981*a^6', '1/226981*a^7', '1/13845841*a^8', '1/13845841*a^9', '1/844596301*a^10', '1/844596301*a^11']}