Number field data - 14.0.1521288950440017380097044480.1

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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
  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': [8, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 14, 'dirichlet_group': [], 'disc_abs': 1521288950440017380097044480, 'disc_rad': 742816870332039736375510, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[6, 2], [1, 2]]], [5, [0]], [7, [[12, 1], [1, 2]]], [11, [[7, 2]]], [13, [[12, 1], [1, 2]]], [17, [[11, 1], [2, 1], [1, 1]]], [19, [[14, 1]]], [23, [[9, 1], [3, 1], [2, 1]]], [29, [[11, 1], [2, 1], [1, 1]]], [31, [[13, 1], [1, 1]]], [37, [[13, 1], [1, 1]]], [41, [[8, 1], [2, 3]]], [43, [[14, 1]]], [47, [[4, 1], [3, 2], [1, 4]]], [53, [[7, 1], [4, 1], [1, 3]]], [59, [[5, 1], [3, 2], [2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [80472268800, 43589145600, 43589145600, 43589145600, 43589145600], 'galois_label': '14T63', 'galt': 63, 'grd': 1155579219962.0247, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '14.0.1521288950440017380097044480.1', 'local_algs': ['2.1.0.1', '2.13.12.1', '5.1.0.1', '5.2.0.1', '5.2.1.2', '5.9.0.1', 'm293.1.2.0', 'm293.2.1.1', 'm293.1.5.0', 'm293.1.5.0', 'm1039.1.1.0', 'm1039.1.2.0', 'm1039.2.1.1', 'm1039.1.3.0', 'm1039.1.6.0', 'm244004924113840013.2.1.1', 'm244004924113840013.1.12.0'], 'monogenic': 0, 'num_ram': 5, 'r2': 7, 'ramps': [2, 5, 293, 1039, 244004924113840013], 'rd': 87.4151185284, 'regulator': {'__RealLiteral__': 0, 'data': '951832038.935', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{13} - a^{11} - 7 a^{10} + 2 a^{8} + 27 a^{7} + 2 a^{6} + 6 a^{5} - 33 a^{4} - 13 a^{3} - 24 a^{2} + 38 a + 9 \\)', '\\( 5 a^{13} + 2 a^{12} - 7 a^{11} - a^{10} + 3 a^{9} - 7 a^{8} - 14 a^{7} - 19 a^{6} + 6 a^{5} - 25 a^{4} - 16 a^{3} - 39 a^{2} + 29 a - 63 \\)', '\\( 71 a^{13} + 52 a^{12} + 55 a^{11} + 75 a^{10} + 23 a^{9} + 65 a^{8} + 20 a^{7} - 15 a^{6} + 54 a^{5} - 83 a^{4} + 7 a^{3} - 38 a^{2} - 184 a - 377 \\)', '\\( 69 a^{13} + 925 a^{12} - 971 a^{11} - 421 a^{10} + 1824 a^{9} - 1168 a^{8} - 1486 a^{7} + 3071 a^{6} - 769 a^{5} - 3702 a^{4} + 4631 a^{3} + 915 a^{2} - 7569 a + 5585 \\)', '\\( 971 a^{13} + 1069 a^{12} - 169 a^{11} - 1471 a^{10} - 1319 a^{9} + 256 a^{8} + 1833 a^{7} + 2001 a^{6} + 175 a^{5} - 2771 a^{4} - 3883 a^{3} - 340 a^{2} + 5552 a + 503 \\)', '\\( 482 a^{13} - 715 a^{12} + 592 a^{11} - 80 a^{10} - 720 a^{9} + 1496 a^{8} - 1664 a^{7} + 876 a^{6} + 753 a^{5} - 2774 a^{4} + 4112 a^{3} - 3516 a^{2} + 650 a + 951 \\)'], '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', '1/2*a^13']}