Number field data - 7.7.91402930798144.1

Formats: - HTML - YAML - JSON - 2025-04-29T02:19:16.138144

• 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
  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': [7], 'class_number': 7, 'cm': False, 'coeffs': [-12, 4, 132, 100, -60, -48, -2, 1], 'conductor': 0, 'degree': 7, 'dirichlet_group': [], 'disc_abs': 91402930798144, 'disc_rad': 406, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[3, 2], [1, 1]]], [5, [[3, 2], [1, 1]]], [7, [0]], [11, [[3, 2], [1, 1]]], [13, [[7, 1]]], [17, [[3, 2], [1, 1]]], [19, [[3, 2], [1, 1]]], [23, [[3, 2], [1, 1]]], [29, [0]], [31, [[3, 2], [1, 1]]], [37, [[3, 2], [1, 1]]], [41, [[7, 1]]], [43, [[7, 1]]], [47, [[3, 2], [1, 1]]], [53, [[3, 2], [1, 1]]], [59, [[3, 2], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [18, 14, 18], 'galois_label': '7T3', 'galt': 3, 'grd': 118.82515845668567, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '7.7.91402930798144.1', 'local_algs': ['2.7.6.1', '7.1.0.1', '7.3.2.2', '7.3.2.2', '29.7.6.5'], 'monogenic': 0, 'num_ram': 3, 'r2': 0, 'ramps': [2, 7, 29], 'rd': 98.7240298101, 'regulator': {'__RealLiteral__': 0, 'data': '28128.2395665', 'prec': 44}, 'res': {'gal': ['-212471,1411326,2380511,-28037113,39930357,40890372,-119183320,31014463,94274320,-71335327,-10941085,28369077,-7698780,-2195280,1394179,-118286,-49574,8843,542,-165,-1,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 1 \\)', '\\( \\frac{1}{7} a^{6} - \\frac{4}{7} a^{5} - \\frac{43}{7} a^{4} + \\frac{33}{7} a^{3} + 25 a^{2} - \\frac{82}{7} a - \\frac{139}{7} \\)', '\\( \\frac{1}{14} a^{6} - \\frac{3}{14} a^{5} - \\frac{45}{14} a^{4} - a^{3} + \\frac{57}{7} a^{2} + \\frac{10}{7} a - \\frac{5}{7} \\)', '\\( \\frac{1}{7} a^{5} - \\frac{3}{14} a^{4} - \\frac{47}{7} a^{3} - \\frac{88}{7} a^{2} - 2 a + \\frac{11}{7} \\)', '\\( \\frac{11}{7} a^{6} - \\frac{53}{14} a^{5} - \\frac{517}{7} a^{4} - \\frac{449}{7} a^{3} + \\frac{1277}{7} a^{2} + \\frac{934}{7} a - 47 \\)', '\\( \\frac{3}{7} a^{6} - \\frac{11}{7} a^{5} - \\frac{249}{14} a^{4} + \\frac{24}{7} a^{3} + \\frac{211}{7} a^{2} + 2 a - \\frac{23}{7} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/14*a^4 + 1/7*a^2 + 3/7*a + 1/7', '1/14*a^5 + 1/7*a^3 + 3/7*a^2 + 1/7*a', '1/14*a^6 + 3/7*a^3 - 1/7*a^2 + 1/7*a - 2/7']}