Number field data - 5.1.2617.1

Formats: - HTML - YAML - JSON - 2024-06-17T10:29:43.581273

• 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': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, -2, 1, 0, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 2617, 'disc_rad': 2617, 'disc_sign': 1, 'frobs': [[2, [[5, 1]]], [3, [[5, 1]]], [5, [[4, 1], [1, 1]]], [7, [[4, 1], [1, 1]]], [11, [[3, 1], [2, 1]]], [13, [[5, 1]]], [17, [[3, 1], [1, 2]]], [19, [[4, 1], [1, 1]]], [23, [[5, 1]]], [29, [[2, 2], [1, 1]]], [31, [[2, 1], [1, 3]]], [37, [[5, 1]]], [41, [[4, 1], [1, 1]]], [43, [[4, 1], [1, 1]]], [47, [[2, 2], [1, 1]]], [53, [[2, 1], [1, 3]]], [59, [[3, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60], 'galois_label': '5T5', 'galt': 5, 'grd': 51.15662224971465, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.1.2617.1', 'local_algs': ['m2617.1.1.0', 'm2617.1.2.0', 'm2617.2.1.1'], 'monogenic': 1, 'num_ram': 1, 'r2': 2, 'ramps': [2617], 'rd': 4.82570472203, 'regulator': {'__RealLiteral__': 0, 'data': '0.394462762943', 'prec': 47}, 'res': {'sib': ['-1064,15,209,3,-18,-1,1', '-18770107,2235315,-123567,-100416,19177,2081,-1696,239,-22,-4,1', '-29,-39,-55,-111,-204,145,-384,35,205,-221,137,-27,-18,18,-6,1', '-3116299,3450207,10179365,9145965,-9957081,5443831,18137191,-11437974,-1452880,5682068,2651658,-3219123,-1665091,1135908,26848,-411675,-335862,134138,169631,61860,-21684,-22616,-7091,1539,1609,350,-37,-62,-6,0,1', '-48613831,-156187927,-79530326,75541698,48062007,-20812890,-12060182,3617451,2323082,-242780,-442645,19170,50814,214,-3785,-916,466,11,-3,-6,1', '1,-2,0,-1,1,2,2,-4,0,-1,1', '1,-3,14,-28,59,-78,105,-110,120,-110,93,-67,52,-39,27,-13,10,-3,2,-2,1', '1,6,7,-12,-10,58,86,63,175,283,163,197,435,442,288,194,275,243,67,45,26,23,-3,-7,9,-2,10,-1,1,-2,1', '2886,2617,-2379,-595,599,-377,164,-62,59,-40,19,-6,1', '372769,-64719,-128666,107710,-5317,-106714,12444,23057,9890,-4508,-1969,658,62,-286,173,-134,100,-39,11,-4,1', '576,-3456,10895,-20393,21310,-79,-39994,68589,-42351,-55395,193715,-309995,355232,-322591,242441,-154384,84510,-40116,16535,-5882,1774,-440,86,-12,1', '64152278089,0,365260545335,0,828198261142,0,979827667114,0,633401077417,0,186448188444,0,-19128683709,0,-33494072642,0,-9531151344,0,-54760516,0,639541737,0,165090935,0,8518218,0,-4628141,0,-1213579,0,-100957,0,10634,0,3849,0,484,0,32,0,1', '807119,-16463190,37646235,-75206413,107189768,-136963310,147603619,-146677623,131289406,-110862169,87834686,-66649485,48147435,-33150244,21455553,-12931330,7167228,-3606745,1630161,-653959,226982,-67331,16233,-2615,338,1,28,-25,12,-3,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{4} + a^{2} - 2 a \\)', '\\( a^{3} - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}