Number field data - 14.14.12082462805952683578833887544607885354840529275474033703346853825890523525763932307253207072895617326779140942034887593472026784080351332996854475050975704479877705399512513606726026903633577245444000000000000.1

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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

  
  {'cm': False, 'coeffs': [40095511130962225240189804491943359375, 773043792817583070706838466796875000, 2587399700316109318860370458984375, -18637303238230533691855781250000, -63938673030863212150078125000, 144716607884926457572500000, 517062546566176619531250, -447630993322011000000, -1855964346085631250, 597401557200000, 3313325898225, -287910000, -2900730, 0, 1], 'conductor': 0, 'degree': 14, 'dirichlet_group': [], 'disc_abs': 12082462805952683578833887544607885354840529275474033703346853825890523525763932307253207072895617326779140942034887593472026784080351332996854475050975704479877705399512513606726026903633577245444000000000000, 'disc_rad': 55276604249803447407641379665412552025004082017910, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [0]], [11, [[12, 1], [2, 1]]], [13, [[8, 1], [3, 1], [2, 1], [1, 1]]], [17, [[5, 1], [4, 1], [3, 1], [2, 1]]], [19, [0]], [23, [[11, 1], [3, 1]]], [29, [[13, 1], [1, 1]]], [31, [[5, 1], [4, 1], [2, 1], [1, 3]]], [37, [[6, 1], [5, 1], [2, 1], [1, 1]]], [41, [[7, 1], [3, 2], [1, 1]]], [43, [[7, 2]]], [47, [[4, 1], [3, 2], [2, 1], [1, 2]]], [53, [[13, 1], [1, 1]]], [59, [[8, 1], [3, 1], [2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '14T62', 'galt': 62, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '14.14.12082462805952683578833887544607885354840529275474033703346853825890523525763932307253207072895617326779140942034887593472026784080351332996854475050975704479877705399512513606726026903633577245444000000000000.1', 'local_algs': ['2.1.2.2a1.1', '2.6.2.12a7.1', '3.1.2.1a1.1', '3.1.12.21a1.23', '5.1.2.1a1.2', '5.1.2.1a1.2', '5.1.5.5a1.2', '5.1.5.5a1.2', '7.1.7.7a1.4', '7.1.7.7a1.1', '19.1.1.0a1.1', '19.1.1.0a1.1', '19.6.2.6a1.2', '197.1.1.0a1.1', '197.1.1.0a1.1', '197.1.2.1a1.1', '197.5.2.5a1.2', '199.1.1.0a1.1', '199.1.1.0a1.1', '199.6.2.6a1.2', 'm2593.1.1.0', 'm2593.1.1.0', 'm2593.2.1.1', 'm2593.2.2.2', 'm2593.2.3.3', 'm34963.1.1.0', 'm34963.1.1.0', 'm34963.2.2.2', 'm34963.2.4.4', 'm560233.1.1.0', 'm560233.1.1.0', 'm560233.2.6.6', 'm1072255949.1.1.0', 'm1072255949.1.1.0', 'm1072255949.1.3.0', 'm1072255949.3.1.2', 'm1072255949.1.6.0', 'm6488895781911832501.1.1.0', 'm6488895781911832501.1.2.0', 'm6488895781911832501.3.1.2', 'm6488895781911832501.1.8.0'], 'monogenic': 0, 'num_ram': 12, 'r2': 0, 'ramps': [2, 3, 5, 7, 19, 197, 199, 2593, 34963, 560233, 1072255949, 6488895781911832501], 'rd': 729476162501000.0, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'used_grh': True, 'zk': ['1', 'a', '1/5*a^2', '1/25*a^3 + 2/5*a', '1/125*a^4 + 2/25*a^2', '1/625*a^5 + 2/125*a^3', '1/3125*a^6 + 2/625*a^4', '1/244140625*a^7 + 22427/48828125*a^5 + 922/390625*a^4 - 4938/390625*a^3 - 3542/78125*a^2 - 877/3125*a + 2982/15625', '1/57373046875*a^8 + 23/11474609375*a^7 + 569302/11474609375*a^6 + 851371/2294921875*a^5 + 144842/91796875*a^4 - 201491/18359375*a^3 + 242274/3671875*a^2 + 1498707/3671875*a + 84211/734375', '1/286865234375*a^9 + 72/57373046875*a^7 - 49078/458984375*a^6 - 920807/2294921875*a^5 + 35148/91796875*a^4 + 289038/18359375*a^3 + 1340642/18359375*a^2 + 67317/146875*a + 167478/734375', '1/1434326171875*a^10 + 2/286865234375*a^8 + 4/11474609375*a^7 - 309457/2294921875*a^6 - 1539472/2294921875*a^5 - 14473/18359375*a^4 - 767403/91796875*a^3 + 231177/3671875*a^2 + 5398/15625*a + 108658/734375', '1/7171630859375*a^11 + 2/1434326171875*a^9 - 7/11474609375*a^7 - 28961/2294921875*a^6 - 12101/18359375*a^5 - 1705518/458984375*a^4 + 3749/3671875*a^3 - 103779/3671875*a^2 + 221721/734375*a + 13696/29375', '1/107574462890625*a^12 - 1/7171630859375*a^10 + 1/286865234375*a^8 + 2/2294921875*a^7 + 1529692/11474609375*a^6 - 268177/2294921875*a^5 - 352148/91796875*a^4 - 67199/91796875*a^3 + 16308/3671875*a^2 + 1200367/3671875*a - 303731/734375', '1/107574462890625*a^13 + 2/1434326171875*a^9 - 67/57373046875*a^7 + 130232/2294921875*a^6 - 364836/2294921875*a^5 + 1629172/458984375*a^4 + 333564/18359375*a^3 + 660938/18359375*a^2 - 11863/29375*a - 186516/734375']}