Number field data - 10.0.93637876851.1

Formats: - HTML - YAML - JSON - 2024-05-27T01:16:28.856991

• 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': [2], 'class_number': 2, 'cm': False, 'coeffs': [1, -1, 6, -8, 8, -3, 8, -8, 6, -1, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 93637876851, 'disc_rad': 1173, 'disc_sign': -1, 'frobs': [[2, [[10, 1]]], [3, [0]], [5, [[5, 2]]], [7, [[10, 1]]], [11, [[6, 1], [2, 1], [1, 2]]], [13, [[4, 1], [2, 3]]], [17, [0]], [19, [[6, 1], [2, 1], [1, 2]]], [23, [0]], [29, [[4, 2], [1, 2]]], [31, [[4, 2], [2, 1]]], [37, [[10, 1]]], [41, [[5, 2]]], [43, [[4, 1], [2, 3]]], [47, [[3, 2], [2, 1], [1, 2]]], [53, [[10, 1]]], [59, [[10, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [2240, 960, 1280], 'galois_label': '10T36', 'galt': 36, 'grd': 120.13912978968409, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.93637876851.1', 'local_algs': ['3.2.1.1', '3.2.1.1', '3.6.7.1', '17.2.0.1', '17.2.1.2', '17.6.0.1', '23.2.0.1', '23.2.0.1', '23.3.2.1', '23.3.2.1'], 'monogenic': 0, 'num_ram': 3, 'r2': 5, 'ramps': [3, 17, 23], 'rd': 12.5067697859, 'regulator': {'__RealLiteral__': 0, 'data': '23.0954688115', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['-1.1.2.1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{5}{9} a^{9} - \\frac{2}{9} a^{8} + \\frac{28}{9} a^{7} - \\frac{7}{3} a^{6} + \\frac{20}{9} a^{5} + \\frac{11}{9} a^{4} + \\frac{8}{3} a^{3} - \\frac{17}{9} a^{2} + \\frac{16}{9} a + \\frac{5}{9} \\)', '\\( a \\)', '\\( \\frac{17}{27} a^{9} - \\frac{1}{9} a^{8} + \\frac{35}{9} a^{7} - \\frac{61}{27} a^{6} + \\frac{35}{9} a^{5} - \\frac{14}{9} a^{4} + \\frac{88}{27} a^{3} - \\frac{20}{9} a^{2} + \\frac{25}{9} a - \\frac{8}{27} \\)', '\\( \\frac{5}{27} a^{9} - \\frac{1}{3} a^{8} + a^{7} - \\frac{70}{27} a^{6} + \\frac{10}{9} a^{5} - \\frac{7}{3} a^{4} + \\frac{25}{27} a^{3} - \\frac{28}{9} a^{2} - \\frac{4}{9} a - \\frac{20}{27} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', '1/9*a^8 + 4/9*a^7 - 2/9*a^6 - 4/9*a^5 - 1/9*a^4 - 4/9*a^3 - 2/9*a^2 + 4/9*a + 1/9', '1/27*a^9 - 1/3*a^7 + 4/27*a^6 - 4/9*a^5 - 1/3*a^4 - 13/27*a^3 + 4/9*a^2 - 2/9*a - 13/27']}