Number field data - 5.3.4511.1

Formats: - HTML - YAML - JSON - 2025-04-30T20:46:56.553173

• 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': [1, 0, -2, -1, 0, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 4511, 'disc_rad': 4511, 'disc_sign': -1, 'frobs': [[2, [[5, 1]]], [3, [[5, 1]]], [5, [[5, 1]]], [7, [[5, 1]]], [11, [[3, 1], [2, 1]]], [13, [0]], [17, [[4, 1], [1, 1]]], [19, [[3, 1], [1, 2]]], [23, [[4, 1], [1, 1]]], [29, [[5, 1]]], [31, [[4, 1], [1, 1]]], [37, [[2, 2], [1, 1]]], [41, [[2, 2], [1, 1]]], [43, [[5, 1]]], [47, [[3, 1], [1, 2]]], [53, [[2, 2], [1, 1]]], [59, [[3, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 67.16397844082793, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.3.4511.1', 'local_algs': ['13.1.0.1', '13.2.0.1', '13.2.1.2', 'm347.1.1.0', 'm347.1.2.0', 'm347.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 1, 'ramps': [13, 347], 'rd': 5.38089559333, 'regulator': {'__RealLiteral__': 0, 'data': '0.628579167485', 'prec': 47}, 'res': {'sib': ['-273977,-204788,-738329,552488,-397750,368972,-156481,92309,-33988,-11505,17999,-17368,12750,-6611,3175,-1267,404,-126,28,-5,1', '1,-2,0,1,-1,-2,-2,4,0,-1,1', '1,-5,11,-9,-16,65,-146,292,-529,785,-897,785,-529,292,-146,65,-16,-9,11,-5,1', '1,35,1298,-2052,36402,-34225,259596,-178242,128300,-344932,181296,-210415,2300893,-4499616,3953379,-2736605,2684166,-1860152,521169,48613,99391,-100959,27410,5791,-332,-1926,349,136,-21,-6,1', '1,6,17,30,42,12,-6,5,131,343,535,477,-13,-524,-500,-968,-1641,-1259,-1283,-1069,-572,-573,-277,-101,-45,-18,-22,11,1,-2,1', '1044,631,339,27,0,-1,1', '1059617248,-2348968272,3104451144,-2319345908,1098368940,-288273075,16564480,26282319,-15111612,4547986,-393003,-228187,105224,-24675,2696,1569,-485,51,-6,-4,1', '14400,0,-1729,0,1396,0,-396,0,61,0,-6,0,1', '1764,-10584,39077,-102431,212776,-363673,530246,-671733,754269,-760737,699671,-592937,467168,-342457,232343,-143824,79824,-38928,16403,-5882,1774,-440,86,-12,1', '181189318873,-277323565617,591076844117,-899994227130,1325692681891,-1707902078343,2064384213859,-2303794044259,2450836658313,-2456300480892,2319632569173,-2079116531687,1798157728377,-1497629173243,1196954189005,-920931134595,686360925595,-495132518253,343855526535,-228684673005,145645563723,-89212639759,52780164489,-30135279645,16488652405,-8549081631,4150834743,-1868076697,773140039,-292461037,100609787,-31321328,8776538,-2198474,487909,-94734,15808,-2204,246,-20,1', '20713663,5232900,89977186,229728697,302560722,32833692,209077500,171877231,-7474236,29407223,94729776,-56324397,22208784,18351906,-18098516,6892843,1854313,-2786013,1033568,123865,-259098,89212,6636,-15247,4499,312,-518,115,9,-7,1', '419,1269,-828,-576,907,-569,288,108,-173,23,63,-42,11,3,-3,1', '96570371,-12506993,8638959,-708258,296937,-20251,7382,-435,130,-4,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{4} - 2 a \\)', '\\( a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}