Local field data - 2.2.8.56a3.1176

Formats: - HTML - YAML - JSON - 2026-02-02T15:09:32.761120

• 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], 'aut': 2, 'c': 56, 'canonical_filtration': None, 'coeffs': [59, 216, 636, 1400, 2586, 4040, 5452, 6344, 6323, 5336, 3764, 2184, 1018, 368, 96, 16, 1], 'ctr': 1176, 'ctr_family': 1, 'ctr_subfamily': 3, 'distinguished_residual_polynomials': ['z^4 + 1', 'z^2 + t', 't*z + 1'], 'e': 8, 'eisen': 'x^8 + (8*t + 8)*x^7 + 4*t*x^6 + 8*x^5 + 12*x^4 + 8*x^2 + 16*t*x + 2', 'f': 2, 'family': '2.2.8.56a', 'gal': 679, 'galT': 679, 'galois_degree': 256, 'galois_label': '16T679', 'gms': '4.171875', 'gsm': [-1, 0, -24, 0, -82, 0, -96, 0, -35, 0, -8, 0, -6, 0, 0, 0, 1], 'hidden': '[2,2,7/2,9/2]', 'hw': '$i$', 'ind_of_insep': [21, 14, 8, 0], 'ind_of_insep_tmp': ['21A', '14A', '8A', '0A'], 'inertia': ['i', [128, 444]], 'inertia_gap': [128, 444], 'is_completion': False, 'jump_set': [1, 3, 7, 15], 'label': '2.16.56.26360', 'n': 16, 'new_label': '2.2.8.56a3.1176', 'num': 26360, 'old_label': '2.16.56.26360', 'p': 2, 'packet': None, 'packet_size': None, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 21], [2, 14], [4, 8], [8, 0]], 'residual_polynomials': ['z^4 + 1', 'z^2 + t', 't*z + 1'], 'rf': [-1, 0], 'slopes': '[2, 2, 3, 7/2, 7/2, 9/2, 9/2]', 'slopes_tmp': ['2A', '2B', '3A', '7/2A', '7/2B', '9/2A', '9/2B'], 'subfamily': '2.2.8.56a3', 'subfield': ['2.2.0.1', '2.4.6.5', '2.8.20.31'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '04.5000000009/2', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[3, 7/2, 9/2]', 'visible_tmp': ['3A', '7/2A', '9/2A'], 'wild_gap': [128, 444]}