Number field data - 5.1.1100860503125.1

Formats: - HTML - YAML - JSON - 2024-05-04T19:42:07.319299

• 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': [-137, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 1100860503125, 'disc_rad': 685, 'disc_sign': 1, 'frobs': [[2, [[4, 1], [1, 1]]], [3, [[4, 1], [1, 1]]], [5, [0]], [7, [[4, 1], [1, 1]]], [11, [[5, 1]]], [13, [[4, 1], [1, 1]]], [17, [[4, 1], [1, 1]]], [19, [[2, 2], [1, 1]]], [23, [[4, 1], [1, 1]]], [29, [[2, 2], [1, 1]]], [31, [[5, 1]]], [37, [[4, 1], [1, 1]]], [41, [[1, 5]]], [43, [[4, 1], [1, 1]]], [47, [[4, 1], [1, 1]]], [53, [[4, 1], [1, 1]]], [59, [[2, 2], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [23, 16], 'galois_label': '5T3', 'galt': 3, 'grd': 325.980753070161, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.1.1100860503125.1', 'local_algs': ['5.5.5.2', '137.5.4.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 2, 'ramps': [5, 137], 'rd': 256.062781103, 'regulator': {'__RealLiteral__': 0, 'data': '27287.363999', 'prec': 40}, 'res': {'gal': ['362673936,-13140360,-25804620,-24393570,-9434435,3576538,3351890,1373855,-33245,-402460,217389,-50370,6485,2485,-1870,427,70,-35,15,-5,1'], 'sib': ['17261,4790,-5485,4120,-670,263,-15,10,5,-5,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 581125409227391 a^{4} + 1554506715753368 a^{3} + 4158659361329535 a^{2} + 11125745351264340 a + 29762962715247001 \\)', '\\( 407837316588286933855747129284564047778166357302955255642095658830284707 a^{4} - 1487293396021188578613461484805313389187287178355438878925716358277061749 a^{3} - 5377573486318640504996135730977472701980129831941072595666444152243399535 a^{2} + 1752669433549774815545197061066282986377974257683751405598250567308930660 a + 41381221986693667482935543419308238650730348508604476057963125483158909276 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}