Number field data - 6.2.56144.1

Formats: - HTML - YAML - JSON - 2024-05-03T11:55:30.258804

• 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': [1, -3, 0, 3, -2, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 56144, 'disc_rad': 638, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[6, 1]]], [5, [[3, 2]]], [7, [[4, 1], [2, 1]]], [11, [0]], [13, [[4, 1], [2, 1]]], [17, [[4, 1], [1, 2]]], [19, [[4, 1], [1, 2]]], [23, [[3, 2]]], [29, [0]], [31, [[6, 1]]], [37, [[6, 1]]], [41, [[2, 3]]], [43, [[4, 1], [1, 2]]], [47, [[2, 1], [1, 4]]], [53, [[2, 2], [1, 2]]], [59, [[3, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [32, 24, 24], 'galois_label': '6T11', 'galt': 11, 'grd': 28.351889352086026, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.56144.1', 'local_algs': ['2.6.4.1', '11.2.0.1', '11.4.2.1', '29.2.1.2', '29.4.0.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 2, 'ramps': [2, 11, 29], 'rd': 6.18800361127, 'regulator': {'__RealLiteral__': 0, 'data': '0.832028349165', 'prec': 47}, 'res': {'sex': ['80,-1,1', '-20,-3,-1,-1,1'], 'sib': ['1,-1,-5,-2,18,-2,-5,-1,1', '1,-1,-5,-8,33,9,-32,-1,15,2,-5,-1,1', '212,244,2560,-364,1018,-38,97,-4,-47,42,-1,-4,1', '256,0,-64,0,384,0,96,0,180,0,24,0,24,0,-1,0,1', '34772,-22168,36416,-15356,14924,-4798,3345,-884,423,-86,27,-4,1', '4,-26,124,-170,97,-14,2,-2,1', '4,0,4,0,-4,0,-1,0,3,0,-3,0,1', '4,4,-4,-1,3,-3,1', '484,-484,396,-1012,1164,-530,191,-135,60,-5,-4,-1,1', '49,0,-481,0,58,0,-65,0,54,0,-13,0,1', '1,-5,-4,7,196,-559,914,-657,-386,1179,-726,-891,1130,797,-1496,53,724,-185,-138,49,18,-31,18,-5,1', '16,-64,224,-800,1424,-1600,2264,-2568,2364,-2512,2072,-1340,1037,-718,425,-348,268,-138,75,-54,28,-16,13,-6,1', '2401,0,23569,0,68623,0,320,0,-13563,0,33547,0,38826,0,16491,0,3805,0,644,0,163,0,21,0,1', '484,-1540,3700,-5308,-552,3166,19931,-16681,-27822,14377,27101,-7206,-14161,1527,4617,-1042,-1163,547,347,-98,-3,35,0,-1,1']}, 'subfield_mults': [1], 'subfields': ['1.1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{2} - 1 \\)', '\\( a^{3} - a^{2} - a + 1 \\)', '\\( a^{5} - a^{4} - 2 a^{3} + 2 a^{2} + a - 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}