Local field data - 5.4.4.12a1.4

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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
  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], 'aut': 16, 'c': 12, 'canonical_filtration': ['5.4.1.0a1.1', '5.4.4.12a1.1'], 'coeffs': [21, 128, 512, 1280, 2208, 2752, 2624, 2048, 1432, 864, 448, 192, 104, 16, 16, 0, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^3 + 4*z^2 + z + 4'], 'e': 4, 'eisen': 'x^4 + 5', 'f': 4, 'family': '5.4.4.12a', 'gal': 4, 'galois_degree': 16, 'galois_label': '16T4', 'gms': '0.75', 'gsm': [0], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1], 'label': '5.16.12.1', 'n': 16, 'new_label': '5.4.4.12a1.4', 'num': 1, 'old_label': '5.16.12.1', 'p': 5, 'packet': '5.4.4.12a1.4a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 0], [4, 0]], 'residual_polynomials': ['z^3 + 4*z^2 + z + 4'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '5.4.4.12a1', 'subfield': ['5.2.0.1', '5.2.1.1', '5.2.1.2', '5.4.0.1', '5.4.2.1', '5.4.2.2', '5.4.3.1', '5.4.3.2', '5.4.3.3', '5.4.3.4', '5.8.4.1', '5.8.6.1', '5.8.6.2'], 'subfield_mult': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 't': 4, 'top_slope': '01.0000000001', 'u': 4, 'unram': 't^4 + 4*t^2 + 4*t + 2', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}