Number field data - 43.1.17493904304575564092260553260976286616122110509580830730313660732011571.1

Formats: - HTML - YAML - JSON - 2024-05-23T02:12:34.822445

• 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': [-1, 1, 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': 43, 'dirichlet_group': [], 'disc_abs': 17493904304575564092260553260976286616122110509580830730313660732011571, 'disc_rad': 17493904304575564092260553260976286616122110509580830730313660732011571, 'disc_sign': -1, 'frobs': [[2, [[38, 1], [5, 1]]], [3, [[37, 1], [3, 1], [2, 1], [1, 1]]], [5, [[18, 1], [10, 1], [7, 1], [5, 1], [3, 1]]], [7, [[27, 1], [10, 1], [5, 1], [1, 1]]], [11, [[22, 1], [17, 1], [3, 1], [1, 1]]], [13, [[29, 1], [14, 1]]], [17, [[34, 1], [6, 1], [2, 1], [1, 1]]], [19, [[43, 1]]], [23, [[15, 1], [10, 1], [9, 1], [7, 1], [2, 1]]], [29, [[34, 1], [7, 1], [2, 1]]], [31, [[42, 1], [1, 1]]], [37, [[19, 1], [14, 1], [7, 1], [3, 1]]], [41, [[21, 1], [13, 1], [9, 1]]], [43, [[2, 21], [1, 1]]], [47, [[20, 1], [9, 1], [6, 2], [1, 2]]], [53, [[34, 1], [4, 1], [3, 1], [1, 2]]], [59, [0]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [30207631531686917818677566034256998753632256000000000, 30207631531686917818677566034256998753632256000000000, 30207631531686917818677566034256998753632256000000000, 30207631531686917818677566034256998753632256000000000, 30207631531686917818677566034256998753632256000000000, 30207631531686917818677566034256998753632256000000000], 'galois_label': '43T10', 'galt': 10, 'grd': 1.3226452398347625e+35, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '43.1.17493904304575564092260553260976286616122110509580830730313660732011571.1', 'local_algs': ['59.1.0.1', '59.2.1.2', '59.2.0.1', '59.5.0.1', '59.5.0.1', '59.6.0.1', '59.7.0.1', '59.15.0.1', 'm397.1.1.0', 'm397.2.1.1', 'm397.1.40.0', 'm877.2.1.1', 'm877.1.5.0', 'm877.1.12.0', 'm877.1.24.0', 'm935899.1.1.0', 'm935899.2.1.1', 'm935899.1.4.0', 'm935899.1.5.0', 'm935899.1.6.0', 'm935899.1.11.0', 'm935899.1.14.0', 'm2402649604770175349.1.1.0', 'm2402649604770175349.1.2.0', 'm2402649604770175349.2.1.1', 'm2402649604770175349.1.15.0', 'm2402649604770175349.1.23.0', 'm378726079619435938610415929241631681351.1.1.0', 'm378726079619435938610415929241631681351.2.1.1', 'm378726079619435938610415929241631681351.1.40.0'], 'monogenic': 1, 'num_ram': 6, 'r2': 21, 'ramps': [59, 397, 877, 935899, 2402649604770175349, 378726079619435938610415929241631681351], 'rd': 43.0086198004, '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']}