Number field data - 9.9.3691950281939241.2

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• 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[]
  maxp	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
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [3], 'class_number': 3, 'cm': False, 'coeffs': [-5831, 21609, 0, -10290, 0, 1323, 0, -63, 0, 1], 'conductor': 189, 'degree': 9, 'disc_abs': 3691950281939241, 'disc_rad': 21, 'disc_sign': 1, 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [22, 6], 'galois_label': '9T1', 'galt': 1, 'grd': 53.665489341339345, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '9.9.3691950281939241.2', 'local_algs': ['3.1.9.22a3.8', '7.3.3.6a1.2'], 'maxp': 7, 'monogenic': 0, 'narrow_class_group': [3], 'narrow_class_number': 3, 'num_ram': 2, 'r2': 0, 'ramps': [3, 7], 'rd': 53.6654893413, 'regulator': {'__RealLiteral__': 0, 'data': '40597.2195867', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['-1.-3.0.1'], 'torsion_order': 2, 'unit_signature_rank': 9, 'used_grh': False}
• nf_fields_extra •

  Column	Type
  dirichlet_group	bigint[]
  frobs	jsonb
  label	text
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'dirichlet_group': [64, 1, 184, 25, 151, 88, 121, 58, 127], 'frobs': [[2, [[9, 1]]], [3, [0]], [5, [[9, 1]]], [7, [0]], [11, [[9, 1]]], [13, [[9, 1]]], [17, [[1, 9]]], [19, [[1, 9]]], [23, [[9, 1]]], [29, [[9, 1]]], [31, [[9, 1]]], [37, [[3, 3]]], [41, [[9, 1]]], [43, [[9, 1]]], [47, [[9, 1]]], [53, [[3, 3]]], [59, [[9, 1]]]], 'label': '9.9.3691950281939241.2', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{2}{931} a^{6} - \\frac{12}{133} a^{4} + \\frac{3}{133} a^{3} + \\frac{18}{19} a^{2} - \\frac{9}{19} a - \\frac{9}{19} \\)', '\\( \\frac{1}{931} a^{6} - \\frac{6}{133} a^{4} - \\frac{8}{133} a^{3} + \\frac{9}{19} a^{2} + \\frac{24}{19} a + \\frac{5}{19} \\)', '\\( \\frac{2}{931} a^{7} + \\frac{2}{931} a^{6} - \\frac{12}{133} a^{5} - \\frac{9}{133} a^{4} + \\frac{129}{133} a^{3} + \\frac{9}{19} a^{2} - \\frac{37}{19} a + \\frac{10}{19} \\)', '\\( \\frac{1}{931} a^{7} + \\frac{2}{931} a^{6} - \\frac{10}{133} a^{5} - \\frac{1}{19} a^{4} + \\frac{206}{133} a^{3} - \\frac{10}{19} a^{2} - \\frac{163}{19} a + \\frac{192}{19} \\)', '\\( \\frac{1}{931} a^{8} - \\frac{55}{931} a^{6} + \\frac{1}{133} a^{5} + \\frac{18}{19} a^{4} - \\frac{43}{133} a^{3} - \\frac{71}{19} a^{2} + \\frac{60}{19} a + \\frac{10}{19} \\)', '\\( \\frac{1}{931} a^{8} - \\frac{3}{49} a^{6} - \\frac{2}{133} a^{5} + \\frac{143}{133} a^{4} + \\frac{78}{133} a^{3} - \\frac{109}{19} a^{2} - \\frac{112}{19} a + \\frac{32}{19} \\)', '\\( \\frac{1}{931} a^{8} + \\frac{3}{931} a^{7} - \\frac{40}{931} a^{6} - \\frac{15}{133} a^{5} + \\frac{72}{133} a^{4} + \\frac{146}{133} a^{3} - \\frac{47}{19} a^{2} - \\frac{46}{19} a + \\frac{89}{19} \\)', '\\( \\frac{1}{931} a^{8} + \\frac{4}{931} a^{7} - \\frac{44}{931} a^{6} - \\frac{23}{133} a^{5} + \\frac{85}{133} a^{4} + \\frac{39}{19} a^{3} - \\frac{47}{19} a^{2} - \\frac{112}{19} a + \\frac{46}{19} \\)'], 'zk': ['1', 'a', 'a^2', '1/7*a^3', '1/7*a^4', '1/133*a^5 - 8/133*a^4 + 3/133*a^3 - 6/19*a^2 - 3/19*a + 2/19', '1/931*a^6 - 6/133*a^4 - 8/133*a^3 + 9/19*a^2 + 5/19*a + 5/19', '1/931*a^7 + 1/133*a^4 + 5/133*a^3 + 7/19*a^2 + 6/19*a - 7/19', '1/931*a^8 - 6/133*a^4 + 8/133*a^3 - 7/19*a^2 - 4/19*a - 2/19']}