Number field data - 4.0.11453152.1

Formats: - HTML - YAML - JSON - 2025-12-04T16:20:42.985196

• 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
  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': [2, 6], 'class_number': 12, 'cm': False, 'coeffs': [324, 248, 37, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 11453152, 'disc_rad': 142, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[3, 1], [1, 1]]], [5, [[4, 1]]], [7, [[3, 1], [1, 1]]], [11, [[2, 1], [1, 2]]], [13, [[3, 1], [1, 1]]], [17, [[2, 1], [1, 2]]], [19, [[3, 1], [1, 1]]], [23, [[3, 1], [1, 1]]], [29, [[2, 1], [1, 2]]], [31, [[3, 1], [1, 1]]], [37, [[2, 1], [1, 2]]], [41, [[4, 1]]], [43, [[3, 1], [1, 1]]], [47, [[3, 1], [1, 1]]], [53, [[2, 2]]], [59, [[2, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [48, 18], 'galois_label': '4T5', 'galt': 5, 'grd': 97.83714091452357, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.11453152.1', 'local_algs': ['2.1.2.2a1.1', '2.1.2.3a1.3', '71.1.4.3a1.1'], 'monogenic': -1, 'narrow_class_group': [2, 6], 'narrow_class_number': 12, 'num_ram': 2, 'r2': 2, 'ramps': [2, 71], 'rd': 58.1743120435, 'regulator': {'__RealLiteral__': 0, 'data': '29.019230922', 'prec': 40}, 'res': {'gal': ['60886809,0,108383670,0,118810890,0,79219142,0,25467727,0,2903700,0,-798868,0,-283532,0,119703,0,-17994,0,1418,0,-58,0,1'], 'sib': ['-10144,-12096,-2912,-6704,-510,-212,-866,588,-293,132,-18,-4,1', '-20,-64,-42,-28,-4,0,1', '-976,-712,-32,-68,14,-1,1', '118432,171680,101912,24064,-7020,-4016,744,784,120,-48,-6,0,1', '5184,0,-1984,0,148,0,4,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 816 a^{3} - 22650 a^{2} - 116304 a - 138319 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2*a', '1/4*a^3 - 1/4*a^2']}