Number field data - 10.2.54470700288.2

Formats: - HTML - YAML - JSON - 2024-05-06T09:21:29.172495

• 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': [4, -4, 4, -4, 0, 0, -2, 0, 0, 0, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 54470700288, 'disc_rad': 1194, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[6, 1], [3, 1], [1, 1]]], [7, [[5, 2]]], [11, [[5, 2]]], [13, [[5, 2]]], [17, [[2, 4], [1, 2]]], [19, [[4, 2], [2, 1]]], [23, [[4, 2], [2, 1]]], [29, [[4, 2], [2, 1]]], [31, [[2, 4], [1, 2]]], [37, [[4, 2], [2, 1]]], [41, [[3, 3], [1, 1]]], [43, [[2, 4], [1, 2]]], [47, [[4, 2], [2, 1]]], [53, [[4, 2], [2, 1]]], [59, [[5, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [96, 60, 60], 'galois_label': '10T13', 'galt': 13, 'grd': 42.54133966406577, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '10.2.54470700288.2', 'local_algs': ['2.10.8.1', '3.1.0.1', '3.3.0.1', '3.6.3.1', '199.1.0.1', '199.1.0.1', '199.2.1.1', '199.2.0.1', '199.4.2.1'], 'minimal_sibling': [-2, 0, 2, 0, -2, 1], 'monogenic': 0, 'num_ram': 3, 'r2': 4, 'ramps': [2, 3, 199], 'rd': 11.8472157061, 'regulator': {'__RealLiteral__': 0, 'data': '33.313495222', 'prec': 40}, 'res': {'sib': ['-2,0,2,0,-2,1', '16,-224,-16,36,-6,-1,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{4} a^{9} + \\frac{1}{2} a^{8} - \\frac{1}{2} a^{6} - \\frac{1}{2} a^{5} - \\frac{1}{2} a^{4} \\)', '\\( \\frac{1}{2} a^{9} + \\frac{1}{2} a^{8} - \\frac{1}{2} a^{7} - a^{4} - a^{2} - a + 1 \\)', '\\( \\frac{1}{2} a^{9} + \\frac{1}{2} a^{6} - \\frac{1}{2} a^{5} - 2 a^{2} + 2 a - 2 \\)', '\\( \\frac{1}{4} a^{9} - \\frac{1}{2} a^{7} - \\frac{1}{2} a^{4} - a^{2} + 1 \\)', '\\( \\frac{1}{4} a^{9} + \\frac{1}{2} a^{8} - \\frac{1}{2} a^{6} - \\frac{1}{2} a^{5} - \\frac{1}{2} a^{4} - a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/2*a^5', '1/2*a^6', '1/2*a^7', '1/2*a^8', '1/4*a^9 - 1/2*a^4']}