Local field data - 2.2.8.56b1.408

Formats: - HTML - YAML - JSON - 2025-11-02T14:03:30.190623

• 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': [27, 152, 500, 1264, 2478, 3960, 5256, 5904, 5647, 4616, 3208, 1872, 894, 336, 92, 16, 1], 'ctr': 408, 'ctr_family': 2, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + 8*x^6 + 8*x^5 + 4*t*x^4 + (16*t + 8)*x^2 + (24*t + 2)', 'f': 2, 'family': '2.2.8.56b', 'gal': 897, 'galT': 897, 'galois_degree': 512, 'galois_label': '16T897', 'gms': '3.921875', 'gsm': [-54592949, -21628640, 15495656, 51520, 4190392, 5192560, -879112, -938240, -111420, -4720, 11392, 4000, 1212, -160, -16, 0, 1], 'hidden': '[2,2,7/2,7/2]^{2}', 'hw': '$-1$', 'ind_of_insep': [21, 16, 8, 0], 'ind_of_insep_tmp': ['21A', '16A', '8A', '0A'], 'inertia': ['i', [128, 753]], 'inertia_gap': [128, 753], 'is_completion': False, 'jump_set': [1, 3, 7, 15], 'label': '2.16.56.27892', 'n': 16, 'new_label': '2.2.8.56b1.408', 'num': 27892, 'old_label': '2.16.56.27892', 'p': 2, 'packet': None, 'packet_size': None, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 21], [2, 16], [4, 8], [8, 0]], 'residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 2, 3, 7/2, 7/2, 4, 17/4]', 'slopes_tmp': ['2A', '2B', '3A', '7/2A', '7/2B', '4A', '17/4A'], 'subfamily': '2.2.8.56b1', 'subfield': ['2.2.0.1', '2.4.6.6', '2.8.22.44'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '04.25000000017/4', 'u': 4, 'unram': 't^2 + t + 1', 'visible': '[3, 4, 17/4]', 'visible_tmp': ['3A', '4A', '17/4A'], 'wild_gap': [128, 753]}