Local field data - 2.1.16.66j1.918

Formats: - HTML - YAML - JSON - 2025-10-03T09:47:06.912201

• lf_fields •

  Column	Type
  associated_inertia	integer[]
  aut	smallint
  c	smallint
  canonical_filtration	text[]
  coeffs	jsonb
  ctr	integer
  ctr_family	integer
  ctr_subfamily	integer
  distinguished_residual_polynomials	text[]
  e	smallint
  eisen	text
  f	smallint
  family	text
  gal	integer
  galT	integer
  galois_degree	bigint
  galois_label	text
  gms	text
  gsm	jsonb
  hidden	text
  hw	text
  ind_of_insep	integer[]
  ind_of_insep_tmp	text[]
  inertia	jsonb
  inertia_gap	integer[]
  is_completion	boolean
  jump_set	integer[]
  label	text
  n	smallint
  new_label	text
  num	integer
  old_label	text
  p	integer
  packet	text
  packet_size	integer
  ppow_roots_of_unity	smallint
  ram_poly_vert	integer[]
  residual_polynomials	text[]
  rf	jsonb
  slopes	text
  slopes_tmp	text[]
  subfamily	text
  subfield	text[]
  subfield_mult	integer[]
  t	smallint
  top_slope	text
  u	smallint
  unram	text
  visible	text
  visible_tmp	text[]
  wild_gap	integer[]

  
  {'associated_inertia': [1, 1, 1, 1], 'aut': 2, 'c': 66, 'canonical_filtration': None, 'coeffs': [18, 0, 0, 16, 24, 0, 0, 16, 4, 0, 8, 16, 8, 0, 0, 0, 1], 'ctr': 918, 'ctr_family': 10, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^8 + 1', 'z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 16, 'eisen': 'x^16 + 8*x^12 + 16*x^11 + 8*x^10 + 4*x^8 + 16*x^7 + 24*x^4 + 16*x^3 + 18', 'f': 1, 'family': '2.1.16.66j', 'gal': 863, 'galT': 863, 'galois_degree': 512, 'galois_label': '16T863', 'gms': '4.3359375', 'gsm': [49, 0, -88, 0, -692, 0, 760, 0, 598, 0, 216, 0, 44, 0, 8, 0, 1], 'hidden': '[2,2,7/2,7/2]^{2}', 'hw': '$1$', 'ind_of_insep': [51, 42, 32, 16, 0], 'ind_of_insep_tmp': ['51A', '42A', '32A', '16A', '0A'], 'inertia': ['t', [16, 502]], 'inertia_gap': [256, 5675], 'is_completion': False, 'jump_set': [1, 3, 7, 15, 31], 'label': '2.16.66.10837', 'n': 16, 'new_label': '2.1.16.66j1.918', 'num': 10837, 'old_label': '2.16.66.10837', 'p': 2, 'packet': '2.1.16.66j1.863a', 'packet_size': 64, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 51], [2, 42], [4, 32], [8, 16], [16, 0]], 'residual_polynomials': ['z^8 + 1', 'z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 2, 3, 7/2, 7/2, 4, 17/4, 19/4]', 'slopes_tmp': ['2A', '2B', '3A', '7/2A', '7/2B', '4A', '17/4A', '19/4A'], 'subfamily': '2.1.16.66j1', 'subfield': ['2.2.3.1', '2.4.11.4', '2.8.28.6'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '04.75000000019/4', 'u': 2, 'unram': 't + 1', 'visible': '[3, 4, 17/4, 19/4]', 'visible_tmp': ['3A', '4A', '17/4A', '19/4A'], 'wild_gap': [256, 5675]}