Number field data - 10.0.1677721600000.1

Formats: - HTML - YAML - JSON - 2024-06-15T02:14:50.454489

• 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': [2, 8, 10, 0, -6, -8, 2, 0, 5, -4, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 1677721600000, 'disc_rad': 10, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[4, 2], [2, 1]]], [5, [0]], [7, [[8, 1], [2, 1]]], [11, [[8, 1], [2, 1]]], [13, [[5, 2]]], [17, [[4, 1], [2, 2], [1, 2]]], [19, [[8, 1], [2, 1]]], [23, [[8, 1], [2, 1]]], [29, [[5, 1], [4, 1], [1, 1]]], [31, [[4, 2], [2, 1]]], [37, [[4, 2], [1, 2]]], [41, [[4, 2], [1, 2]]], [43, [[10, 1]]], [47, [[8, 1], [2, 1]]], [53, [[5, 1], [2, 2], [1, 1]]], [59, [[8, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [3150, 920], 'galois_label': '10T33', 'galt': 33, 'grd': 97.52615737127628, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.1677721600000.1', 'local_algs': ['2.2.2.1', '2.8.27.57', '5.1.0.1', '5.4.0.1', '5.5.5.2'], 'monogenic': 0, 'num_ram': 2, 'r2': 5, 'ramps': [2, 5], 'rd': 16.6906015546, 'regulator': {'__RealLiteral__': 0, 'data': '691.362501818', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.0.1'], 'torsion_gen': '\\( \\frac{7}{3} a^{9} - \\frac{20}{3} a^{8} + \\frac{16}{3} a^{7} + \\frac{8}{3} a^{6} + 10 a^{5} - \\frac{17}{3} a^{4} - \\frac{40}{3} a^{3} - \\frac{56}{3} a^{2} - 6 a - \\frac{1}{3} \\)', 'torsion_order': 4, 'units': ['\\( a^{2} - a - 1 \\)', '\\( \\frac{2}{3} a^{9} - \\frac{13}{3} a^{8} + \\frac{29}{3} a^{7} - \\frac{26}{3} a^{6} + 4 a^{5} - \\frac{34}{3} a^{4} + \\frac{19}{3} a^{3} + \\frac{11}{3} a^{2} + 12 a + \\frac{1}{3} \\)', '\\( \\frac{4}{3} a^{9} - \\frac{11}{3} a^{8} + \\frac{10}{3} a^{7} - \\frac{1}{3} a^{6} + 8 a^{5} - \\frac{8}{3} a^{4} - \\frac{16}{3} a^{3} - \\frac{41}{3} a^{2} - 7 a - \\frac{13}{3} \\)', '\\( \\frac{2}{3} a^{9} - \\frac{7}{3} a^{8} + \\frac{8}{3} a^{7} + \\frac{4}{3} a^{6} - 2 a^{5} - \\frac{1}{3} a^{4} + \\frac{4}{3} a^{3} - \\frac{7}{3} a^{2} - 5 a - \\frac{5}{3} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', '1/3*a^9 + 1/3*a^8 + 1/3*a^7 - 1/3*a^6 + 1/3*a^4 - 1/3*a^3 + 1/3*a^2 - 1/3']}