Number field data - 47.1.35185556812044758048911324282467377776142079416503731699652016583512942678531852916835897696847131479.1

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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
  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': [-3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 47, 'dirichlet_group': [], 'disc_abs': 35185556812044758048911324282467377776142079416503731699652016583512942678531852916835897696847131479, 'disc_rad': 11909895907100494336075888461291755845793128239838327432447720821448775533823853, 'disc_sign': -1, 'frobs': [[2, [[42, 1], [3, 1], [2, 1]]], [3, [0]], [5, [[26, 1], [19, 1], [2, 1]]], [7, [[17, 1], [10, 1], [6, 1], [5, 1], [4, 1], [3, 1], [1, 2]]], [11, [[20, 1], [15, 1], [9, 1], [3, 1]]], [13, [[17, 1], [14, 1], [8, 1], [3, 2], [1, 2]]], [17, [[37, 1], [8, 1], [2, 1]]], [19, [0]], [23, [[40, 1], [3, 2], [1, 1]]], [29, [[23, 1], [8, 1], [7, 1], [3, 2], [1, 3]]], [31, [[42, 1], [2, 2], [1, 1]]], [37, [[22, 1], [14, 1], [9, 1], [1, 2]]], [41, [0]], [43, [[30, 1], [8, 1], [5, 1], [3, 1], [1, 1]]], [47, [[46, 1], [1, 1]]], [53, [[38, 1], [9, 1]]], [59, [[45, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [253120619351356091693114049724811725076235980636160000000000, 129311620755584090321482177576805989984598816194560000000000, 129311620755584090321482177576805989984598816194560000000000, 129311620755584090321482177576805989984598816194560000000000, 129311620755584090321482177576805989984598816194560000000000, 129311620755584090321482177576805989984598816194560000000000, 129311620755584090321482177576805989984598816194560000000000, 129311620755584090321482177576805989984598816194560000000000, 129311620755584090321482177576805989984598816194560000000000], 'galois_label': '47T6', 'galt': 6, 'grd': 5.839331005779363e+39, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '47.1.35185556812044758048911324282467377776142079416503731699652016583512942678531852916835897696847131479.1', 'local_algs': ['m3.47.1.46', '19.2.1.1', '19.2.0.1', '19.2.0.1', '19.4.0.1', '19.11.0.1', 'm19.1.26.0', '41.1.0.1', '41.2.1.2', '41.2.0.1', '41.2.0.1', '41.6.0.1', 'm41.1.34.0', 'm2593.1.2.0', 'm2593.2.1.1', 'm2593.1.4.0', 'm2593.1.5.0', 'm2593.1.8.0', 'm2593.1.8.0', 'm2593.1.18.0', 'm95957.1.1.0', 'm95957.2.1.1', 'm95957.1.4.0', 'm95957.1.9.0', 'm95957.1.11.0', 'm95957.1.20.0', 'm371957.2.1.1', 'm371957.1.5.0', 'm371957.1.5.0', 'm371957.1.35.0', 'm523877.1.1.0', 'm523877.1.2.0', 'm523877.2.1.1', 'm523877.1.3.0', 'm523877.1.16.0', 'm523877.1.23.0', 'm221163397457.1.1.0', 'm221163397457.1.2.0', 'm221163397457.2.1.1', 'm221163397457.1.3.0', 'm221163397457.1.39.0', 'm475263819466279159561807820198152469598183553.1.2.0', 'm475263819466279159561807820198152469598183553.2.1.1', 'm475263819466279159561807820198152469598183553.1.43.0'], 'monogenic': 1, 'num_ram': 9, 'r2': 23, 'ramps': [3, 19, 41, 2593, 95957, 371957, 523877, 221163397457, 475263819466279159561807820198152469598183553], 'rd': 137.81114769, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17', 'a^18', 'a^19', 'a^20', 'a^21', 'a^22', 'a^23', 'a^24', 'a^25', 'a^26', 'a^27', 'a^28', 'a^29', 'a^30', 'a^31', 'a^32', 'a^33', 'a^34', 'a^35', 'a^36', 'a^37', 'a^38', 'a^39', 'a^40', 'a^41', 'a^42', 'a^43', 'a^44', 'a^45', 'a^46']}