Number field data - 43.1.78919853330565399375555279626735605511544436766772503920429613743057706093067108352.1

Formats: - HTML - YAML - JSON - 2026-06-11T13:29:54.135672

• 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[]
  maximal_cm_subfield	numeric[]
  maxp	numeric
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'cm': False, 'coeffs': [-4, 4, 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, 'disc_abs': 78919853330565399375555279626735605511544436766772503920429613743057706093067108352, 'disc_rad': 35888594234422907618661738354938099979128508842574094124042682662119526, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [59010256945620955738811989462269485937328128000000000, 30207631531686917818677566034256998753632256000000000, 30207631531686917818677566034256998753632256000000000, 30207631531686917818677566034256998753632256000000000], 'galois_label': '43T10', 'galt': 10, 'grd': 2.636286003332312e+35, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '43.1.78919853330565399375555279626735605511544436766772503920429613743057706093067108352.1', 'local_algs': ['m2.43.1.42', 'm90073.1.1.0', 'm90073.1.1.0', 'm90073.2.1.1', 'm90073.1.39.0', 'm2923961.1.1.0', 'm2923961.1.2.0', 'm2923961.1.2.0', 'm2923961.2.1.1', 'm2923961.1.8.0', 'm2923961.1.9.0', 'm2923961.1.9.0', 'm2923961.1.10.0', 'm68133429255140007202167625043712385709578872658361664978371.1.1.0', 'm68133429255140007202167625043712385709578872658361664978371.1.1.0', 'm68133429255140007202167625043712385709578872658361664978371.2.1.1', 'm68133429255140007202167625043712385709578872658361664978371.1.4.0', 'm68133429255140007202167625043712385709578872658361664978371.1.12.0', 'm68133429255140007202167625043712385709578872658361664978371.1.23.0'], 'maxp': 68133429255140007202167625043712385709578872658361664978371, 'monogenic': 0, 'num_ram': 4, 'r2': 21, 'ramps': [2, 90073, 2923961, 68133429255140007202167625043712385709578872658361664978371], 'rd': 84.691834691, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'used_grh': True}
• nf_fields_extra •

  Column	Type
  dirichlet_group	bigint[]
  frobs	jsonb
  label	text
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'dirichlet_group': [], 'frobs': [[2, [0]], [3, [[37, 1], [3, 1], [2, 1], [1, 1]]], [5, [[17, 2], [8, 1], [1, 1]]], [7, [[31, 1], [6, 1], [5, 1], [1, 1]]], [11, [[41, 1], [2, 1]]], [13, [[40, 1], [3, 1]]], [17, [[17, 1], [15, 1], [5, 1], [4, 1], [2, 1]]], [19, [[14, 2], [8, 1], [5, 1], [2, 1]]], [23, [[17, 1], [13, 1], [6, 1], [2, 3], [1, 1]]], [29, [[20, 1], [13, 1], [5, 1], [3, 1], [1, 2]]], [31, [[32, 1], [6, 1], [3, 1], [2, 1]]], [37, [[16, 1], [14, 1], [13, 1]]], [41, [[17, 1], [12, 1], [9, 1], [5, 1]]], [43, [[14, 3], [1, 1]]], [47, [[17, 1], [12, 1], [5, 1], [4, 2], [1, 1]]], [53, [[25, 1], [9, 2]]], [59, [[25, 1], [18, 1]]]], 'label': '43.1.78919853330565399375555279626735605511544436766772503920429613743057706093067108352.1', 'torsion_gen': '\\( -1 \\)', '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', '1/2*a^22', '1/2*a^23', '1/2*a^24', '1/2*a^25', '1/2*a^26', '1/2*a^27', '1/2*a^28', '1/2*a^29', '1/2*a^30', '1/2*a^31', '1/2*a^32', '1/2*a^33', '1/2*a^34', '1/2*a^35', '1/2*a^36', '1/2*a^37', '1/2*a^38', '1/2*a^39', '1/2*a^40', '1/2*a^41', '1/2*a^42']}