Number field data - 28.0.3053134545970524535745336759489912159909.1

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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[]
  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': [2, 2, 2], 'class_number': 8, 'cm': True, 'coeffs': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'conductor': 29, 'degree': 28, 'dirichlet_group': [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28], 'disc_abs': 3053134545970524535745336759489912159909, 'disc_rad': 29, 'disc_sign': 1, 'frobs': [[2, [[28, 1]]], [3, [[28, 1]]], [5, [[14, 2]]], [7, [[7, 4]]], [11, [[28, 1]]], [13, [[14, 2]]], [17, [[4, 7]]], [19, [[28, 1]]], [23, [[7, 4]]], [29, [0]], [31, [[28, 1]]], [37, [[28, 1]]], [41, [[4, 7]]], [43, [[28, 1]]], [47, [[28, 1]]], [53, [[7, 4]]], [59, [[1, 28]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [27], 'galois_label': '28T1', 'galt': 1, 'grd': 25.713991616408272, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '28.0.3053134545970524535745336759489912159909.1', 'local_algs': ['m29.28.1.27'], 'monogenic': 1, 'num_ram': 1, 'r2': 14, 'ramps': [29], 'rd': 25.7139916164, 'regulator': {'__RealLiteral__': 0, 'data': '487075979.1876791', 'prec': 57}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['-7.-1.1', '23.-20.4.-1.1', '-1.-9.-14.28.7.-12.-1.1', '-1.-7.28.56.-126.-126.210.120.-165.-55.66.12.-13.-1.1'], 'torsion_gen': '\\( a \\)', 'torsion_order': 58, 'units': ['\\( a - 1 \\)', '\\( a^{2} + 1 \\)', '\\( a^{3} - 1 \\)', '\\( a^{2} - a + 1 \\)', '\\( a^{6} + 1 \\)', '\\( a^{4} + 1 \\)', '\\( a^{16} - a^{3} \\)', '\\( a^{4} - a^{3} + a^{2} - a + 1 \\)', '\\( a^{20} + a^{10} + 1 \\)', '\\( a^{20} - a^{11} + a^{2} \\)', '\\( a^{27} + a^{25} + a^{23} + a^{21} + a^{19} + a^{17} + a^{15} + a^{13} + a^{11} \\)', '\\( a^{22} - a^{15} + a^{8} - a \\)', '\\( a^{17} + a^{3} \\)'], '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', 'a^22', 'a^23', 'a^24', 'a^25', 'a^26', 'a^27']}