Number field data - 8.2.1381088515840.1

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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': [2, -6, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 1381088515840, 'disc_rad': 10789754030, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[2, 3], [1, 2]]], [5, [0]], [7, [[7, 1], [1, 1]]], [11, [0]], [13, [[8, 1]]], [17, [[4, 1], [2, 1], [1, 2]]], [19, [[7, 1], [1, 1]]], [23, [[7, 1], [1, 1]]], [29, [[4, 1], [3, 1], [1, 1]]], [31, [[4, 1], [2, 2]]], [37, [[6, 1], [2, 1]]], [41, [[7, 1], [1, 1]]], [43, [[5, 1], [3, 1]]], [47, [[4, 1], [2, 2]]], [53, [[4, 1], [2, 2]]], [59, [[8, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [44640, 20160, 20160, 20160, 20160], 'galois_label': '8T50', 'galt': 50, 'grd': 158224.59176526917, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.2.1381088515840.1', 'local_algs': ['2.8.8.13', '5.2.1.2', '5.3.0.1', '5.3.0.1', '11.2.1.1', '11.6.0.1', '163.1.0.1', '163.1.0.1', '163.2.1.2', '163.4.0.1', 'm601771.1.2.0', 'm601771.1.2.0', 'm601771.1.2.0', 'm601771.2.1.1'], 'monogenic': 1, 'num_ram': 5, 'r2': 3, 'ramps': [2, 5, 11, 163, 601771], 'rd': 32.92514447, 'regulator': {'__RealLiteral__': 0, 'data': '4318.92815324', 'prec': 44}, 'res': {'sib': ['-3657551580758016,-925434124959744,-73697142767616,844558007795712,157703526678528,-194525439197184,-115952988782592,1816887656448,39744662667264,8647471808512,-6647943020544,-3514408009728,298598400000,877398740992,126671413248,-134440364032,-45475872768,11008328704,9672597504,131158016,-1432608768,-204453376,145131264,42450944,-9595584,-6049792,373248,632320,-6480,-47104,0,2368,0,-72,0,1', '128,0,0,0,-64,-576,-5184,-46656,-96,-576,-2592,0,48,576,3888,0,24,144,0,0,-12,-108,0,0,-2,0,0,0,1', '1504768190504991981689026928552135313798891894879682560,30123942371914043099857982421089040629255700480,90371827115741928319107941918057263975680802816,6632363402108341873631113185361920,6776622054018754740838297449257797020672,98524507824115057799357862142639104,-40507768716739765452224135404939648,-14977176197423402999684178048,-2445745455745041092238029990,-1386658065868460950818,206281381506177925120,-118036139311104,149398080588800,-9483264,24893568,0,1', '72740929336680634122240,-120834995782439739064320,244617914497856452926898176,8324346568605551120351232,231073015629442598305792,-377059961604020205256704,-48177034163891547930624,5149214815292849258496,4037531719270478643200,172798171529181327360,-164127001707930189824,-13324768688335749120,3329651184133292032,518609574140313600,-22719755721392128,-12650654754275328,-470906632284416,195344010215424,16788745093120,-1849890825216,-306835357696,9758278656,3942313984,-21781872,-34764800,0,199808,0,-672,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{6} + a^{5} - a^{3} - 2 a^{2} - 2 a + 1 \\)', '\\( 4 a^{7} + 2 a^{6} + a^{5} - a^{4} + 2 a^{2} - a - 27 \\)', '\\( a^{6} - a^{4} + a^{3} + 3 a^{2} - 4 a + 1 \\)', '\\( 13 a^{7} - a^{6} - 21 a^{5} + 15 a^{4} + 24 a^{3} - 44 a^{2} - 13 a + 7 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7']}