Number field data - 6.0.15116288.2

Formats: - HTML - YAML - JSON - 2026-03-23T23:19:03.596501

• 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[]
  maximal_cm_subfield	numeric[]
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [122, 0, 54, 0, 12, 0, 1], 'conductor': 0, 'degree': 6, 'disc_abs': 15116288, 'disc_rad': 1342, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [124, 24, 24], 'galois_label': '6T11', 'galt': 11, 'grd': 155.24659449179185, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '6.0.15116288.2', 'local_algs': ['2.1.6.11a1.14', '11.2.1.0a1.1', '11.1.2.1a1.1', '11.1.2.1a1.1', '61.1.2.1a1.1', '61.4.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 3, 'r2': 3, 'ramps': [2, 11, 61], 'rd': 15.7244039825, 'regulator': {'__RealLiteral__': 0, 'data': '11.3493847792', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['1.1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 0, 'used_grh': False}
• nf_fields_extra •

  Column	Type
  dirichlet_group	bigint[]
  frobs	jsonb
  label	text
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'dirichlet_group': [], 'frobs': [[2, [0]], [3, [[3, 2]]], [5, [[6, 1]]], [7, [[2, 2], [1, 2]]], [11, [0]], [13, [[2, 3]]], [17, [[4, 1], [1, 2]]], [19, [[2, 2], [1, 2]]], [23, [[3, 2]]], [29, [[4, 1], [2, 1]]], [31, [[3, 2]]], [37, [[3, 2]]], [41, [[4, 1], [2, 1]]], [43, [[2, 3]]], [47, [[2, 1], [1, 4]]], [53, [[1, 6]]], [59, [[6, 1]]]], 'label': '6.0.15116288.2', 'res': {'sex': ['-1342,0,1', '-86,-244,-12,0,1'], 'sib': ['-1342,0,-150,0,4,0,1', '-4319,1964,676,-584,-825,648,-176,-100,89,-44,12,-4,1', '1194649,0,1500420,0,592170,0,139400,0,32051,0,-14040,0,1330,0,-52,0,1', '14884,0,-9516,0,3236,0,-784,0,134,0,-12,0,1', '20449,0,-9460,0,1478,0,-84,0,1', '2125764,0,-7138368,0,2834352,0,12670352,0,-5043168,0,2623296,0,-632884,0,183312,0,-13800,0,3840,0,-360,0,0,0,1', '229764964,0,-776417840,0,1231256808,0,-884969680,0,409260340,0,-151146416,0,38368476,0,-5808824,0,521876,0,-34488,0,1688,0,-56,0,1', '251128,-525280,482944,-46448,66060,-4080,-3632,-1216,890,-80,0,-4,1', '363016,1292864,-542032,21648,-275572,58640,-5008,-2336,1046,88,-44,-4,1', '399694396259,-160801616632,307932968742,-348789431668,311844983813,-167298717292,57372241590,2900054276,-5257700296,1817241320,737583150,-478595732,-7508807,25311908,6481666,-3555756,221608,14760,32674,-10132,813,-44,50,-12,1', '4037911,-2267132,15574528,-26888812,12215497,6371624,-8854602,2769856,3362122,-3172048,1104292,-280860,101619,-60688,31674,-7220,656,-1908,2644,-1912,915,-308,74,-12,1', '529,0,1860,0,-42,0,4,0,1', '58003256,-36820928,-156496,-1980096,2577548,-159328,23224,-3912,198,200,-60,-4,1', '66533512,-10304960,-5557056,1704224,-422292,-123024,85096,-3848,-662,32,-16,-4,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{1}{9} a^{4} + \\frac{7}{9} a^{2} + \\frac{19}{9} \\)', '\\( \\frac{1}{9} a^{5} + \\frac{20}{9} a^{4} - \\frac{29}{9} a^{3} + \\frac{227}{9} a^{2} - \\frac{233}{9} a + \\frac{617}{9} \\)'], 'zk': ['1', 'a', '1/3*a^2 - 1/3', '1/3*a^3 - 1/3*a', '1/9*a^4 + 1/9*a^2 - 2/9', '1/9*a^5 + 1/9*a^3 - 2/9*a']}