Number field data - 30.2.2391344078856076093075744166566562820940983481705188751220703125.1

Formats: - HTML - YAML - JSON - 2024-05-05T20:08:09.793616

• 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': [2, -5, 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': 30, 'dirichlet_group': [], 'disc_abs': 2391344078856076093075744166566562820940983481705188751220703125, 'disc_rad': 12838430765212614888309716557832704903838785, 'disc_sign': 1, 'frobs': [[2, [[28, 1], [1, 2]]], [3, [[30, 1]]], [5, [0]], [7, [[29, 1], [1, 1]]], [11, [[17, 1], [12, 1], [1, 1]]], [13, [[22, 1], [7, 1], [1, 1]]], [17, [[18, 1], [4, 1], [3, 1], [2, 2], [1, 1]]], [19, [[23, 1], [5, 1], [1, 2]]], [23, [[25, 1], [2, 1], [1, 3]]], [29, [[30, 1]]], [31, [[14, 1], [5, 3], [1, 1]]], [37, [[10, 1], [8, 1], [7, 1], [5, 1]]], [41, [[26, 1], [2, 1], [1, 2]]], [43, [[28, 1], [2, 1]]], [47, [[17, 1], [10, 1], [3, 1]]], [53, [[13, 1], [8, 1], [4, 1], [3, 1], [1, 2]]], [59, [[24, 1], [3, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '30T5712', 'galt': 5712, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '30.2.2391344078856076093075744166566562820940983481705188751220703125.1', 'local_algs': ['5.10.10.5', '5.10.10.4', '5.10.10.9', '167.2.1.2', '167.3.0.1', '167.6.0.1', '167.19.0.1', 'm2357.1.2.0', 'm2357.1.2.0', 'm2357.2.1.1', 'm2357.1.5.0', 'm2357.1.19.0', 'm6094873.1.1.0', 'm6094873.1.1.0', 'm6094873.1.2.0', 'm6094873.2.1.1', 'm6094873.1.3.0', 'm6094873.1.3.0', 'm6094873.1.4.0', 'm6094873.1.14.0', 'm26805343.1.1.0', 'm26805343.1.1.0', 'm26805343.1.1.0', 'm26805343.1.2.0', 'm26805343.2.1.1', 'm26805343.1.8.0', 'm26805343.1.15.0', 'm39928211377608794948777.1.1.0', 'm39928211377608794948777.2.1.1', 'm39928211377608794948777.1.3.0', 'm39928211377608794948777.1.10.0', 'm39928211377608794948777.1.14.0'], 'monogenic': 1, 'num_ram': 6, 'r2': 14, 'ramps': [5, 167, 2357, 6094873, 26805343, 39928211377608794948777], 'rd': 129.604894329, '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']}