Number field data - 6.0.2695275.1

Formats: - HTML - YAML - JSON - 2024-05-11T22:24:00.713971

• 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': [5, 0, 0, -3, 0, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 2695275, 'disc_rad': 165, 'disc_sign': -1, 'frobs': [[2, [[6, 1]]], [3, [0]], [5, [0]], [7, [[6, 1]]], [11, [0]], [13, [[2, 3]]], [17, [[6, 1]]], [19, [[6, 1]]], [23, [[2, 2], [1, 2]]], [29, [[2, 3]]], [31, [[3, 1], [1, 3]]], [37, [[3, 2]]], [41, [[6, 1]]], [43, [[6, 1]]], [47, [[2, 2], [1, 2]]], [53, [[2, 2], [1, 2]]], [59, [[2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [42, 24, 18], 'galois_label': '6T9', 'galt': 9, 'grd': 34.93959039247001, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.2695275.1', 'local_algs': ['3.1.0.1', '3.2.1.2', '3.3.3.2', '5.1.0.1', '5.2.0.1', '5.3.2.1', '11.2.1.2', '11.4.2.1'], 'monogenic': 0, 'num_ram': 3, 'r2': 3, 'ramps': [3, 5, 11], 'rd': 11.7968805103, 'regulator': {'__RealLiteral__': 0, 'data': '13.6927005705', 'prec': 44}, 'res': {'gal': ['27,54,108,-324,-504,-1371,82,20352,-10737,-29740,31557,-32280,200052,-452262,473838,-53381,-451458,843597,-633019,107601,376143,-620238,553065,-329256,162788,-43323,-18300,32338,-22164,7428,150,-1296,693,-253,69,-12,1'], 'sex': ['-5,0,0,1', '-15,-15,0,1'], 'sib': ['15,-90,60,21,-33,6,-7,6,-3,1', '27,-81,54,81,-18,117,-374,450,-138,-162,402,-567,589,-423,237,-108,39,-9,1', '3,-216,-15333,63723,-112080,108918,-60182,12057,10968,-13382,7257,-1494,-669,579,-186,25,9,-6,1', '3375,0,0,2700,0,0,3605,0,0,-56,0,0,198,0,0,-28,0,0,1', '9,9,-3,0,19,23,25,5,7,-1,4,-1,1']}, 'subfield_mults': [1], 'subfields': ['3.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{3} a^{5} - \\frac{1}{3} a^{4} + \\frac{1}{3} a^{3} - \\frac{1}{3} a^{2} + \\frac{1}{3} a + \\frac{2}{3} \\)', '\\( a^{5} - a^{4} - 2 a^{2} + 2 a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/3*a^5 - 1/3*a^4 + 1/3*a^3 - 1/3*a^2 + 1/3*a - 1/3']}