Local field data - 2.2.8.56a1.411

Formats: - HTML - YAML - JSON - 2025-09-27T13:27:45.597651

• 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': 4, 'c': 56, 'canonical_filtration': None, 'coeffs': [39, 208, 640, 1456, 2622, 3880, 4796, 5000, 4431, 3336, 2124, 1128, 490, 168, 44, 8, 1], 'ctr': 411, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + 8*t*x^7 + 4*x^6 + 8*x^5 + 20*t*x^4 + (16*t + 16)*x^3 + 8*t*x^2 + 16*x + 2', 'f': 2, 'family': '2.2.8.56a', 'gal': 1120, 'galT': 1120, 'galois_degree': 1024, 'galois_label': '16T1120', 'gms': '3.9609375', 'gsm': [125, 0, -600, 0, 1120, 0, -1120, 0, 750, 0, -360, 0, 104, 0, -16, 0, 1], 'hidden': '[2,2,2,3,15/4]^{2}', 'hw': '$1$', 'ind_of_insep': [21, 14, 8, 0], 'ind_of_insep_tmp': ['21A', '14A', '8A', '0A'], 'inertia': ['i', [256, 10626]], 'inertia_gap': [256, 10626], 'is_completion': False, 'jump_set': [1, 3, 7, 15], 'label': '2.16.56.20803', 'n': 16, 'new_label': '2.2.8.56a1.411', 'num': 20803, 'old_label': '2.16.56.20803', 'p': 2, 'packet': '2.2.8.56a1.1120a', 'packet_size': 96, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 21], [2, 14], [4, 8], [8, 0]], 'residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [1, 1], 'slopes': '[2, 2, 2, 3, 3, 7/2, 15/4, 9/2]', 'slopes_tmp': ['2A', '2B', '2C', '3A', '3B', '7/2A', '15/4A', '9/2A'], 'subfamily': '2.2.8.56a1', 'subfield': ['2.2.0.1', '2.4.6.5', '2.8.20.18'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '04.5000000009/2', 'u': 4, 'unram': 't^2 + t + 1', 'visible': '[3, 7/2, 9/2]', 'visible_tmp': ['3A', '7/2A', '9/2A'], 'wild_gap': [256, 10626]}