Local field data - 2.1.16.54o1.3

Formats: - HTML - YAML - JSON - 2025-10-15T09:01:57.652266

• 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': 4, 'c': 54, 'canonical_filtration': None, 'coeffs': [2, 0, 0, 0, 4, 0, 0, 8, 2, 0, 0, 0, 0, 8, 4, 8, 1], 'ctr': 3, 'ctr_family': 15, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^8 + 1', 'z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 16, 'eisen': 'x^16 + 8*x^15 + 4*x^14 + 8*x^13 + 2*x^8 + 8*x^7 + 4*x^4 + 2', 'f': 1, 'family': '2.1.16.54o', 'gal': 410, 'galT': 410, 'galois_degree': 128, 'galois_label': '16T410', 'gms': '3.59375', 'gsm': [625, 0, 0, 0, 400, 0, 0, 0, 210, 0, 0, 0, -16, 0, 0, 0, 1], 'hidden': '[2,7/2]^{2}', 'hw': '$-1$', 'ind_of_insep': [39, 30, 20, 8, 0], 'ind_of_insep_tmp': ['39A', '30A', '20A', '8A', '0A'], 'inertia': ['t', [16, 165]], 'inertia_gap': [64, 139], 'is_completion': False, 'jump_set': [1, 2, 15, 31, 47], 'label': '2.16.54.427', 'n': 16, 'new_label': '2.1.16.54o1.3', 'num': 427, 'old_label': '2.16.54.427', 'p': 2, 'packet': '2.1.16.54o1.410a', 'packet_size': 16, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 39], [2, 30], [4, 20], [8, 8], [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]', 'slopes_tmp': ['2A', '2B', '3A', '7/2A', '7/2B', '4A'], 'subfamily': '2.1.16.54o1', 'subfield': ['2.2.2.1', '2.4.8.6', '2.4.9.2', '2.4.9.3', '2.8.22.111'], 'subfield_mult': [1, 1, 1, 1, 1], 't': 1, 'top_slope': '04.0000000004', 'u': 2, 'unram': 't + 1', 'visible': '[2, 3, 7/2, 4]', 'visible_tmp': ['2A', '3A', '7/2A', '4A'], 'wild_gap': [64, 139]}