Local field data - 109.1.20.19a1.4

Formats: - HTML - YAML - JSON - 2026-07-15T07:14:43.205346

• 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
  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': [2], 'aut': 4, 'c': 19, 'canonical_filtration': ['109.1.1.0a1.1', '109.1.20.19a1.4'], 'coeffs': [11663, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^19 + 20*z^18 + 81*z^17 + 50*z^16 + 49*z^15 + 26*z^14 + 65*z^13 + 21*z^12 + 75*z^11 + 100*z^10 + z^9 + 100*z^8 + 75*z^7 + 21*z^6 + 65*z^5 + 26*z^4 + 49*z^3 + 50*z^2 + 81*z + 20'], 'e': 20, 'eisen': 'x^20 + 11663', 'f': 1, 'family': '109.1.20.19a', 'gal': 6, 'galois_degree': 40, 'galois_label': '20T6', 'gms': '0.95', 'gsm': [0], 'hidden': '[]^{2}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [20, 1]], 'inertia_gap': [20, 2], 'is_completion': False, 'jump_set': [], 'label': '109.20.19.4', 'n': 20, 'new_label': '109.1.20.19a1.4', 'num': 4, 'old_label': '109.20.19.4', 'p': 109, 'packet': '109.1.20.19a1.6a', 'packet_size': 4, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [20, 0]], 'residual_polynomials': ['z^19 + 20*z^18 + 81*z^17 + 50*z^16 + 49*z^15 + 26*z^14 + 65*z^13 + 21*z^12 + 75*z^11 + 100*z^10 + z^9 + 100*z^8 + 75*z^7 + 21*z^6 + 65*z^5 + 26*z^4 + 49*z^3 + 50*z^2 + 81*z + 20'], 'rf': [109, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '109.1.20.19a1', 'subfield': ['109.2.1.2', '109.4.3.4', '109.5.4.1', '109.10.9.2'], 'subfield_mult': [1, 1, 1, 1], 't': 20, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't + 103', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}