Number field data - 4.2.870124.1

Formats: - HTML - YAML - JSON - 2024-11-09T03:18:03.701600

• 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
  relative_class_number	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': [-32, 17, -7, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 870124, 'disc_rad': 4066, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[2, 1], [1, 2]]], [5, [[3, 1], [1, 1]]], [7, [[3, 1], [1, 1]]], [11, [[3, 1], [1, 1]]], [13, [[4, 1]]], [17, [[3, 1], [1, 1]]], [19, [0]], [23, [[2, 2]]], [29, [[2, 1], [1, 2]]], [31, [[4, 1]]], [37, [[4, 1]]], [41, [[4, 1]]], [43, [[3, 1], [1, 1]]], [47, [[3, 1], [1, 1]]], [53, [[2, 1], [1, 2]]], [59, [[2, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 12, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 71.57401056858944, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.2.870124.1', 'local_algs': ['2.1.0.1', '2.3.2.1', '19.2.0.1', '19.2.1.1', '107.4.2.2'], 'monogenic': -1, 'num_ram': 3, 'r2': 1, 'ramps': [2, 19, 107], 'rd': 30.5418462755, 'regulator': {'__RealLiteral__': 0, 'data': '210.31585297', 'prec': 40}, 'res': {'gal': ['430462269,596001654,571497358,621629538,775972687,784465338,601643206,287140470,55468846,-24478674,-23704370,-9021222,-507689,994542,385270,99882,574,-16374,-4730,-258,463,126,-26,-6,1'], 'sib': ['-138,-26,-24,-23,1,-3,1', '-9648,-46656,-72080,-43068,-18448,-1180,2072,578,30,-31,-11,-1,1', '1049,1842,3170,370,101,-34,6,-2,1', '24649,0,24707,0,6642,0,-53,0,-42,0,-1,0,1', '3303,-789,344,5,36,-1,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 83 a^{3} + 148 a^{2} - 169 a + 947 \\)', '\\( \\frac{931}{3} a^{3} + \\frac{3979}{3} a^{2} - \\frac{6782}{3} a - \\frac{32435}{3} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/3*a^3 + 1/3*a^2 + 1/3*a + 1/3']}