Number field data - 5.1.8433216.1

Formats: - HTML - YAML - JSON - 2024-05-22T17:11:59.785260

• 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': [15], 'class_number': 15, 'cm': False, 'coeffs': [-1, 25, -8, -4, -1, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 8433216, 'disc_rad': 66, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[5, 1]]], [7, [[3, 1], [1, 2]]], [11, [0]], [13, [[3, 1], [1, 2]]], [17, [[5, 1]]], [19, [[5, 1]]], [23, [[3, 1], [1, 2]]], [29, [[2, 2], [1, 1]]], [31, [[5, 1]]], [37, [[3, 1], [1, 2]]], [41, [[3, 1], [1, 2]]], [43, [[3, 1], [1, 2]]], [47, [[5, 1]]], [53, [[5, 1]]], [59, [[5, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [90, 30, 48], 'galois_label': '5T4', 'galt': 4, 'grd': 33.35951814904199, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.1.8433216.1', 'local_algs': ['2.1.0.1', '2.4.6.7', '3.1.0.1', '3.4.2.1', '11.5.4.5'], 'monogenic': 0, 'num_ram': 3, 'r2': 2, 'ramps': [2, 3, 11], 'rd': 24.2772027212, 'regulator': {'__RealLiteral__': 0, 'data': '10.0309804993', 'prec': 44}, 'res': {'sib': ['-1,0,5,12,-6,-2,1', '-243,162,-243,351,-27,252,-117,39,-90,8,-10,14,-7,-2,-1,1', '-99,66,-110,154,-110,78,-51,24,-5,-2,1', '144,0,1152,0,3064,0,3872,0,2017,0,260,0,-50,0,110,0,-23,0,2,0,1', '55,-174,248,-216,162,-150,106,-54,27,-12,8,0,1', '8613,-2970,15939,-12870,-12804,13278,-26465,55260,-33766,3762,13834,-20472,12592,-1026,-6380,11370,-9907,6156,-1453,-2106,3092,-2730,1945,-1266,763,-384,163,-60,20,-6,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{4} + a^{3} - 2 a^{2} - 12 a + 1 \\)', '\\( a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4 - 1/2']}