Number field data - 22.2.347270464382605539918027848005.1

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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[]
  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
  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': [-1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 22, 'dirichlet_group': [], 'disc_abs': 347270464382605539918027848005, 'disc_rad': 347270464382605539918027848005, 'disc_sign': 1, 'frobs': [[2, [[22, 1]]], [3, [[17, 1], [5, 1]]], [5, [0]], [7, [[11, 1], [6, 1], [4, 1], [1, 1]]], [11, [[20, 1], [1, 2]]], [13, [[17, 1], [5, 1]]], [17, [[16, 1], [5, 1], [1, 1]]], [19, [[10, 1], [9, 1], [3, 1]]], [23, [[7, 2], [6, 1], [2, 1]]], [29, [[21, 1], [1, 1]]], [31, [[21, 1], [1, 1]]], [37, [[7, 1], [4, 1], [3, 2], [2, 2], [1, 1]]], [41, [[22, 1]]], [43, [[13, 1], [6, 1], [3, 1]]], [47, [[11, 1], [6, 1], [5, 1]]], [53, [[21, 1], [1, 1]]], [59, [[22, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [562000363888803840000, 562000363888803840000], 'galois_label': '22T59', 'galt': 59, 'grd': 589296584397538.8, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '22.2.347270464382605539918027848005.1', 'local_algs': ['5.2.1.0a1.1', '5.1.2.1a1.1', '5.3.1.0a1.1', '5.4.1.0a1.1', '5.11.1.0a1.1', 'm69454092876521107983605569601.1.1.0', 'm69454092876521107983605569601.1.1.0', 'm69454092876521107983605569601.2.1.1', 'm69454092876521107983605569601.1.18.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 10, 'ramps': [5, 69454092876521107983605569601], 'rd': 22.0169739943, 'regulator': {'__RealLiteral__': 0, 'data': '912353.207873', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{21} - a^{20} - a^{9} - 1 \\)', '\\( a^{10} - a^{3} \\)', '\\( a^{21} - a^{20} + a^{19} - a^{18} + a^{17} - a^{16} - a^{14} - 1 \\)', '\\( a^{9} - a^{6} \\)', '\\( a^{5} + a \\)', '\\( a^{21} + a^{16} - a^{15} + a^{14} - a^{13} + a^{12} - a^{11} + a^{10} - a^{9} + a^{8} - 2 \\)', '\\( a^{21} - a^{20} + a^{17} - a^{16} - 1 \\)', '\\( a^{11} - a^{8} + a^{5} \\)', '\\( a^{21} - a^{20} + a^{19} - a^{18} + a^{17} - a^{16} + a^{15} - a^{14} + a^{13} - a^{3} + a^{2} - a - 1 \\)', '\\( a^{21} - a^{20} + a^{19} - a^{18} + a^{17} + a^{15} - a^{14} - a^{12} + a^{9} - 1 \\)'], 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17', 'a^18', 'a^19', 'a^20', 'a^21']}