Local field data - 7.1.19.18a1.1

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• 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': [3], 'aut': 1, 'c': 18, 'canonical_filtration': ['7.1.1.0a1.1', '7.1.19.18a1.1'], 'coeffs': [7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^18 + 5*z^17 + 3*z^16 + 3*z^15 + 5*z^14 + z^13 + 2*z^11 + 3*z^10 + 6*z^9 + 6*z^8 + 3*z^7 + 2*z^6 + z^4 + 5*z^3 + 3*z^2 + 3*z + 5'], 'e': 19, 'eisen': 'x^19 + 7', 'f': 1, 'family': '7.1.19.18a', 'gal': 3, 'galT': 3, 'galois_degree': 57, 'galois_label': '19T3', 'gms': '0.9473684210526315', 'gsm': [0], 'hidden': '[]^{3}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [19, 1]], 'inertia_gap': [19, 1], 'is_completion': True, 'jump_set': [], 'label': '7.19.18.1', 'n': 19, 'new_label': '7.1.19.18a1.1', 'num': 1, 'old_label': '7.19.18.1', 'p': 7, 'packet': '7.1.19.18a1.3a', 'packet_size': 1, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [19, 0]], 'residual_polynomials': ['z^18 + 5*z^17 + 3*z^16 + 3*z^15 + 5*z^14 + z^13 + 2*z^11 + 3*z^10 + 6*z^9 + 6*z^8 + 3*z^7 + 2*z^6 + z^4 + 5*z^3 + 3*z^2 + 3*z + 5'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '7.1.19.18a1', 'subfield': [], 'subfield_mult': [], 't': 19, 'top_slope': '01.0000000001', 'u': 3, 'unram': 't + 4', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}