Number field data - 17.1.2418678879491144686176529.1

Formats: - HTML - YAML - JSON - 2023-12-06T21:33:36.210065

• 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_label	text
  galt	integer
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  minimal_sibling	integer[]
  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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 17, 'dirichlet_group': [], 'disc_abs': 2418678879491144686176529, 'disc_rad': 2418678879491144686176529, 'disc_sign': 1, 'frobs': [[2, [[8, 2], [1, 1]]], [3, [[17, 1]]], [5, [[10, 1], [6, 1], [1, 1]]], [7, [[16, 1], [1, 1]]], [11, [[13, 1], [4, 1]]], [13, [[12, 1], [2, 2], [1, 1]]], [17, [[8, 2], [1, 1]]], [19, [[11, 1], [6, 1]]], [23, [[10, 1], [4, 1], [1, 3]]], [29, [[8, 1], [6, 1], [3, 1]]], [31, [[10, 1], [3, 2], [1, 1]]], [37, [[6, 1], [3, 1], [2, 3], [1, 2]]], [41, [[5, 2], [3, 1], [1, 4]]], [43, [[15, 1], [2, 1]]], [47, [[8, 1], [7, 1], [1, 2]]], [53, [[9, 1], [5, 1], [3, 1]]], [59, [[8, 1], [3, 1], [2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '17T10', 'galt': 10, 'index': 1, 'inessentialp': [], 'is_galois': False, 'iso_number': 1, 'label': '17.1.2418678879491144686176529.1', 'local_algs': ['m71437.2.1.1', 'm71437.1.3.0', 'm71437.1.12.0', 'm234281.1.2.0', 'm234281.2.1.1', 'm234281.1.3.0', 'm234281.1.10.0', 'm144516666425357.1.1.0', 'm144516666425357.1.2.0', 'm144516666425357.2.1.1', 'm144516666425357.1.4.0', 'm144516666425357.1.8.0'], 'monogenic': 1, 'num_ram': 3, 'r2': 8, 'ramps': [71437, 234281, 144516666425357], 'rd': 27.1849244342, 'regulator': {'__RealLiteral__': 0, 'data': '452764.206499', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{16} + a + 1 \\)', '\\( a^{16} + a^{3} - a^{2} + a + 1 \\)', '\\( a^{16} - a^{14} - a^{13} - a^{10} - a^{9} + a^{7} - a^{5} + a^{3} + a^{2} - a + 1 \\)', '\\( a^{16} + a^{10} - a^{6} + a + 1 \\)', '\\( a^{10} - a^{5} + 1 \\)', '\\( a^{15} + a^{10} - a^{9} + a^{5} - 2 a^{4} + 1 \\)', '\\( 2 a^{16} + a^{15} - 2 a^{13} + 4 a^{11} - a^{10} - 4 a^{9} + 2 a^{8} + 2 a^{7} - a^{6} - 2 a^{4} + 4 a^{2} - a + 1 \\)'], 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16']}