Number field data - 8.0.439971370500096.14

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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': [20], 'class_number': 20, 'cm': False, 'coeffs': [157396, 0, 23816, 0, 1326, 0, 44, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 439971370500096, 'disc_rad': 654, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[2, 4]]], [7, [[1, 8]]], [11, [[8, 1]]], [13, [[2, 3], [1, 2]]], [17, [[8, 1]]], [19, [[2, 3], [1, 2]]], [23, [[8, 1]]], [29, [[2, 4]]], [31, [[4, 2]]], [37, [[2, 3], [1, 2]]], [41, [[8, 1]]], [43, [[2, 4]]], [47, [[8, 1]]], [53, [[8, 1]]], [59, [[8, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [44, 8, 8], 'galois_label': '8T6', 'galt': 6, 'grd': 121.6483897002836, 'inessentialp': [3, 7], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 14, 'label': '8.0.439971370500096.14', 'local_algs': ['2.2.4.22a1.72', '3.1.2.1a1.1', '3.1.2.1a1.1', '3.1.2.1a1.1', '3.1.2.1a1.1', '109.1.2.1a1.2', '109.2.1.0a1.1', '109.2.2.2a1.2'], 'maximal_cm_subfield': [1, -1, 1], 'monogenic': -1, 'narrow_class_group': [20], 'narrow_class_number': 20, 'num_ram': 3, 'r2': 4, 'ramps': [2, 3, 109], 'rd': 67.6749669211, 'regulator': {'__RealLiteral__': 0, 'data': '18915.0024688', 'prec': 44}, 'res': {'gal': ['635040000,0,225561600,0,33920704,0,4124160,0,350100,0,6496,0,-180,0,0,0,1'], 'sib': ['-5292,0,-744,0,934,0,-44,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['1.-1.1', '436.0.-38.0.1'], 'torsion_gen': '\\( -\\frac{1}{735} a^{6} - \\frac{19}{490} a^{4} - \\frac{286}{245} a^{2} - \\frac{9572}{735} \\)', 'torsion_order': 6, 'units': ['\\( \\frac{1}{4410} a^{6} + \\frac{9}{490} a^{4} + \\frac{71}{245} a^{2} + \\frac{2056}{2205} \\)', '\\( \\frac{2603539703}{16758} a^{7} + \\frac{201752297}{2205} a^{6} + \\frac{24865361785}{5586} a^{5} + \\frac{1570192301}{490} a^{4} + \\frac{384173750141}{2793} a^{3} + \\frac{21795082914}{245} a^{2} + \\frac{13297889924294}{8379} a + \\frac{2935704299599}{2205} \\)', '\\( \\frac{4546399922}{41895} a^{7} - \\frac{573434233}{2205} a^{6} + \\frac{99378565403}{27930} a^{5} + \\frac{1418328061}{490} a^{4} + \\frac{462289102792}{13965} a^{3} + \\frac{65512512504}{245} a^{2} + \\frac{2555400127864}{41895} a + \\frac{5501951065699}{2205} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/42*a^4 - 10/21*a^2 - 10/21', '1/42*a^5 - 10/21*a^3 - 10/21*a', '1/4410*a^6 - 4/735*a^4 - 172/735*a^2 + 901/2205', '1/83790*a^7 + 97/27930*a^5 - 3427/13965*a^3 + 2161/41895*a']}