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  1. label: 2.1.0.1
    {'associated_inertia': [], 'aut': 1, 'c': 0, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1'], 'coeffs': [1, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': [], 'e': 1, 'eisen': 'x - 2', 'f': 1, 'family': '2.1.1.0a', 'gal': 1, 'galT': 1, 'galois_degree': 1, 'galois_label': '1T1', 'gms': '0.0', 'gsm': [0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [1, 1]], 'inertia_gap': [1, 1], 'is_completion': True, 'jump_set': [1], 'label': '2.1.0.1', 'n': 1, 'new_label': '2.1.1.0a1.1', 'num': 1, 'old_label': '2.1.0.1', 'p': 2, 'packet': '2.1.1.0a1.1a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [], 'residual_polynomials': [], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.1.1.0a1', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '00.0000000000', 'u': 1, 'unram': 't + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
  2. label: 2.2.0.1
    {'associated_inertia': [], 'aut': 2, 'c': 0, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.1.0a1.1'], 'coeffs': [1, 1, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': [], 'e': 1, 'eisen': 'x - 2', 'f': 2, 'family': '2.2.1.0a', 'gal': 1, 'galT': 1, 'galois_degree': 2, 'galois_label': '2T1', 'gms': '0.0', 'gsm': [1, -1, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [1, 1]], 'inertia_gap': [1, 1], 'is_completion': True, 'jump_set': [1], 'label': '2.2.0.1', 'n': 2, 'new_label': '2.2.1.0a1.1', 'num': 1, 'old_label': '2.2.0.1', 'p': 2, 'packet': '2.2.1.0a1.1a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [], 'residual_polynomials': [], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.2.1.0a1', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '00.0000000000', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
  3. label: 2.2.2.1
    {'associated_inertia': [1], 'aut': 2, 'c': 2, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1'], 'coeffs': [2, 2, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 2*x + 2', 'f': 1, 'family': '2.1.2.2a', 'gal': 1, 'galT': 1, 'galois_degree': 2, 'galois_label': '2T1', 'gms': '1.0', 'gsm': [1, 0, 1], 'hidden': '[]', 'hw': '$i$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['t', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 2], 'label': '2.2.2.1', 'n': 2, 'new_label': '2.1.2.2a1.1', 'num': 1, 'old_label': '2.2.2.1', 'p': 2, 'packet': '2.1.2.2a1.1a', 'packet_size': 2, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [-1, 0], 'slopes': '[2]', 'slopes_tmp': ['2A'], 'subfamily': '2.1.2.2a1', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '02.0000000002', 'u': 1, 'unram': 't + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [2, 1]}
  4. label: 2.2.2.2
    {'associated_inertia': [1], 'aut': 2, 'c': 2, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1'], 'coeffs': [6, 2, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 2*x + 6', 'f': 1, 'family': '2.1.2.2a', 'gal': 1, 'galT': 1, 'galois_degree': 2, 'galois_label': '2T1', 'gms': '1.0', 'gsm': [-3, 0, 1], 'hidden': '[]', 'hw': '$i$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['t', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 4], 'label': '2.2.2.2', 'n': 2, 'new_label': '2.1.2.2a1.2', 'num': 2, 'old_label': '2.2.2.2', 'p': 2, 'packet': '2.1.2.2a1.1a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [-1, 1], 'slopes': '[2]', 'slopes_tmp': ['2A'], 'subfamily': '2.1.2.2a1', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '02.0000000002', 'u': 1, 'unram': 't + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [2, 1]}
  5. label: 2.2.3.1
    {'associated_inertia': [1], 'aut': 2, 'c': 3, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1'], 'coeffs': [2, 4, 1], 'ctr': 3, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 4*x + 2', 'f': 1, 'family': '2.1.2.3a', 'gal': 1, 'galT': 1, 'galois_degree': 2, 'galois_label': '2T1', 'gms': '1.5', 'gsm': [14, 0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['t', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.2.3.1', 'n': 2, 'new_label': '2.1.2.3a1.3', 'num': 1, 'old_label': '2.2.3.1', 'p': 2, 'packet': '2.1.2.3a1.1a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [2, 0], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.1.2.3a1', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '03.0000000003', 'u': 1, 'unram': 't + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  6. label: 2.2.3.2
    {'associated_inertia': [1], 'aut': 2, 'c': 3, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1'], 'coeffs': [10, 4, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 4*x + 10', 'f': 1, 'family': '2.1.2.3a', 'gal': 1, 'galT': 1, 'galois_degree': 2, 'galois_label': '2T1', 'gms': '1.5', 'gsm': [6, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['t', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.2.3.2', 'n': 2, 'new_label': '2.1.2.3a1.4', 'num': 2, 'old_label': '2.2.3.2', 'p': 2, 'packet': '2.1.2.3a1.1a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [2, 1], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.1.2.3a1', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '03.0000000003', 'u': 1, 'unram': 't + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  7. label: 2.2.3.3
    {'associated_inertia': [1], 'aut': 2, 'c': 3, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1'], 'coeffs': [2, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 2', 'f': 1, 'family': '2.1.2.3a', 'gal': 1, 'galT': 1, 'galois_degree': 2, 'galois_label': '2T1', 'gms': '1.5', 'gsm': [2, 0, 1], 'hidden': '[]', 'hw': '$i$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['t', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.2.3.3', 'n': 2, 'new_label': '2.1.2.3a1.1', 'num': 3, 'old_label': '2.2.3.3', 'p': 2, 'packet': '2.1.2.3a1.1a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [-2, 0], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.1.2.3a1', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '03.0000000003', 'u': 1, 'unram': 't + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  8. label: 2.2.3.4
    {'associated_inertia': [1], 'aut': 2, 'c': 3, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1'], 'coeffs': [10, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 10', 'f': 1, 'family': '2.1.2.3a', 'gal': 1, 'galT': 1, 'galois_degree': 2, 'galois_label': '2T1', 'gms': '1.5', 'gsm': [10, 0, 1], 'hidden': '[]', 'hw': '$-i$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['t', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.2.3.4', 'n': 2, 'new_label': '2.1.2.3a1.2', 'num': 4, 'old_label': '2.2.3.4', 'p': 2, 'packet': '2.1.2.3a1.1a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [-2, 1], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.1.2.3a1', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '03.0000000003', 'u': 1, 'unram': 't + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  9. label: 2.3.0.1
    {'associated_inertia': [], 'aut': 3, 'c': 0, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [1, 1, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': [], 'e': 1, 'eisen': 'x - 2', 'f': 3, 'family': '2.3.1.0a', 'gal': 1, 'galT': 1, 'galois_degree': 3, 'galois_label': '3T1', 'gms': '0.0', 'gsm': [1, -2, -1, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [1, 1]], 'inertia_gap': [1, 1], 'is_completion': True, 'jump_set': [1], 'label': '2.3.0.1', 'n': 3, 'new_label': '2.3.1.0a1.1', 'num': 1, 'old_label': '2.3.0.1', 'p': 2, 'packet': '2.3.1.0a1.1a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [], 'residual_polynomials': [], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.3.1.0a1', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '00.0000000000', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
  10. label: 2.3.2.1
    {'associated_inertia': [2], 'aut': 1, 'c': 2, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [2, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + z + 1'], 'e': 3, 'eisen': 'x^3 + 2', 'f': 1, 'family': '2.1.3.2a', 'gal': 2, 'galT': 2, 'galois_degree': 6, 'galois_label': '3T2', 'gms': '0.6666666666666666', 'gsm': [-2, 0, 0, 1], 'hidden': '[]^{2}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [3, 1]], 'inertia_gap': [3, 1], 'is_completion': True, 'jump_set': [3], 'label': '2.3.2.1', 'n': 3, 'new_label': '2.1.3.2a1.1', 'num': 1, 'old_label': '2.3.2.1', 'p': 2, 'packet': '2.1.3.2a1.2a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 0], [3, 0]], 'residual_polynomials': ['z^2 + z + 1'], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.1.3.2a1', 'subfield': [], 'subfield_mult': [], 't': 3, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
  11. label: 2.4.0.1
    {'associated_inertia': [], 'aut': 4, 'c': 0, 'canonical_filtration': ['2.4.1.0a1.1', '2.4.1.0a1.1'], 'coeffs': [1, 1, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': [], 'e': 1, 'eisen': 'x - 2', 'f': 4, 'family': '2.4.1.0a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '0.0', 'gsm': [1, -1, 1, -1, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [1, 1]], 'inertia_gap': [1, 1], 'is_completion': True, 'jump_set': [1], 'label': '2.4.0.1', 'n': 4, 'new_label': '2.4.1.0a1.1', 'num': 1, 'old_label': '2.4.0.1', 'p': 2, 'packet': '2.4.1.0a1.1a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [], 'residual_polynomials': [], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.4.1.0a1', 'subfield': ['2.2.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '00.0000000000', 'u': 4, 'unram': 't^4 + t + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
  12. label: 2.4.4.1
    {'associated_inertia': [1], 'aut': 4, 'c': 4, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.1.0a1.1'], 'coeffs': [5, 4, 5, 2, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 2*x + 2', 'f': 2, 'family': '2.2.2.4a', 'gal': 2, 'galT': 2, 'galois_degree': 4, 'galois_label': '4T2', 'gms': '1.0', 'gsm': [1, 0, -1, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 2], 'label': '2.4.4.1', 'n': 4, 'new_label': '2.2.2.4a1.1', 'num': 1, 'old_label': '2.4.4.1', 'p': 2, 'packet': '2.2.2.4a1.2a', 'packet_size': 1, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [1, 0], 'slopes': '[2]', 'slopes_tmp': ['2A'], 'subfamily': '2.2.2.4a1', 'subfield': ['2.2.0.1', '2.2.2.1', '2.2.2.2'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '02.0000000002', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [2, 1]}
  13. label: 2.4.4.2
    {'associated_inertia': [1], 'aut': 4, 'c': 4, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.1.0a1.1'], 'coeffs': [5, 8, 5, 2, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 2*x + (4*t + 2)', 'f': 2, 'family': '2.2.2.4a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '1.0', 'gsm': [5, 0, -5, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 4], 'label': '2.4.4.2', 'n': 4, 'new_label': '2.2.2.4a1.2', 'num': 2, 'old_label': '2.4.4.2', 'p': 2, 'packet': '2.2.2.4a1.1a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [1, 1], 'slopes': '[2]', 'slopes_tmp': ['2A'], 'subfamily': '2.2.2.4a1', 'subfield': ['2.2.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '02.0000000002', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [2, 1]}
  14. label: 2.4.4.3
    {'associated_inertia': [1], 'aut': 2, 'c': 4, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.1.0a1.1'], 'coeffs': [7, 4, 5, 4, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 2, 'distinguished_residual_polynomials': ['z + t'], 'e': 2, 'eisen': 'x^2 + (2*t + 2)*x + 2', 'f': 2, 'family': '2.2.2.4a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '1.5', 'gsm': [-1, 0, -1, 0, 1], 'hidden': '[2]', 'hw': '$-i$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['i', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.4.4.3', 'n': 4, 'new_label': '2.2.2.4a2.2', 'num': 3, 'old_label': '2.4.4.3', 'p': 2, 'packet': '2.2.2.4a2.3a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + t'], 'rf': [-1, 0], 'slopes': '[2, 2]', 'slopes_tmp': ['2A', '2B'], 'subfamily': '2.2.2.4a2', 'subfield': ['2.2.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '02.0000000002', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [4, 2]}
  15. label: 2.4.4.4
    {'associated_inertia': [1], 'aut': 2, 'c': 4, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.1.0a1.1'], 'coeffs': [3, 4, 5, 4, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 2, 'distinguished_residual_polynomials': ['z + t'], 'e': 2, 'eisen': 'x^2 + 2*t*x + 6', 'f': 2, 'family': '2.2.2.4a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '1.5', 'gsm': [-5, 0, 0, 0, 1], 'hidden': '[2]', 'hw': '$-i$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['i', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.4.4.4', 'n': 4, 'new_label': '2.2.2.4a2.1', 'num': 4, 'old_label': '2.4.4.4', 'p': 2, 'packet': '2.2.2.4a2.3a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + t'], 'rf': [-1, 1], 'slopes': '[2, 2]', 'slopes_tmp': ['2A', '2B'], 'subfamily': '2.2.2.4a2', 'subfield': ['2.2.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '02.0000000002', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [4, 2]}
  16. label: 2.4.4.5
    {'associated_inertia': [1], 'aut': 1, 'c': 4, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.4.4a1.1'], 'coeffs': [2, 2, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 4, 'eisen': 'x^4 + 2*x + 2', 'f': 1, 'family': '2.1.4.4a', 'gal': 5, 'galT': 5, 'galois_degree': 24, 'galois_label': '4T5', 'gms': '1.1666666666666667', 'gsm': [2, -2, 0, 0, 1], 'hidden': '[]^{2}_{3}', 'hw': '$1$', 'ind_of_insep': [1, 1, 0], 'ind_of_insep_tmp': ['1A', '1B', '0A'], 'inertia': ['t', [4, 4]], 'inertia_gap': [12, 3], 'is_completion': True, 'jump_set': [1, 2, 5], 'label': '2.4.4.5', 'n': 4, 'new_label': '2.1.4.4a1.1', 'num': 5, 'old_label': '2.4.4.5', 'p': 2, 'packet': '2.1.4.4a1.5a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [4, 0]], 'residual_polynomials': ['z + 1'], 'rf': [1, 1], 'slopes': '[4/3, 4/3]', 'slopes_tmp': ['4/3A', '4/3B'], 'subfamily': '2.1.4.4a1', 'subfield': [], 'subfield_mult': [], 't': 3, 'top_slope': '01.3333333334/3', 'u': 2, 'unram': 't + 1', 'visible': '[4/3, 4/3]', 'visible_tmp': ['4/3A', '4/3B'], 'wild_gap': [4, 2]}
  17. label: 2.4.6.1
    {'associated_inertia': [1], 'aut': 4, 'c': 6, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.1.0a1.1'], 'coeffs': [7, 6, 7, 2, 1], 'ctr': 5, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 4*x + 2', 'f': 2, 'family': '2.2.2.6a', 'gal': 2, 'galT': 2, 'galois_degree': 4, 'galois_label': '4T2', 'gms': '1.5', 'gsm': [4, 0, -6, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.4.6.1', 'n': 4, 'new_label': '2.2.2.6a1.5', 'num': 1, 'old_label': '2.4.6.1', 'p': 2, 'packet': '2.2.2.6a1.2a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [1, 0], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.2.2.6a1', 'subfield': ['2.2.0.1', '2.2.3.1', '2.2.3.2'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '03.0000000003', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  18. label: 2.4.6.2
    {'associated_inertia': [1], 'aut': 4, 'c': 6, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.1.0a1.1'], 'coeffs': [3, 2, 3, 2, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 2', 'f': 2, 'family': '2.2.2.6a', 'gal': 2, 'galT': 2, 'galois_degree': 4, 'galois_label': '4T2', 'gms': '1.5', 'gsm': [4, 0, -2, 0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.4.6.2', 'n': 4, 'new_label': '2.2.2.6a1.1', 'num': 2, 'old_label': '2.4.6.2', 'p': 2, 'packet': '2.2.2.6a1.2a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [1, 0], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.2.2.6a1', 'subfield': ['2.2.0.1', '2.2.3.3', '2.2.3.4'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '03.0000000003', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  19. label: 2.4.6.3
    {'associated_inertia': [1], 'aut': 4, 'c': 6, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.1.0a1.1'], 'coeffs': [7, 14, 7, 2, 1], 'ctr': 6, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 4*x + (8*t + 2)', 'f': 2, 'family': '2.2.2.6a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '1.5', 'gsm': [20, 0, 10, 0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.4.6.3', 'n': 4, 'new_label': '2.2.2.6a1.6', 'num': 3, 'old_label': '2.4.6.3', 'p': 2, 'packet': '2.2.2.6a1.1a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [1, 1], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.2.2.6a1', 'subfield': ['2.2.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.0000000003', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  20. label: 2.4.6.4
    {'associated_inertia': [1], 'aut': 4, 'c': 6, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.1.0a1.1'], 'coeffs': [3, 10, 3, 2, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + (8*t + 2)', 'f': 2, 'family': '2.2.2.6a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '1.5', 'gsm': [20, 0, -10, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.4.6.4', 'n': 4, 'new_label': '2.2.2.6a1.2', 'num': 4, 'old_label': '2.4.6.4', 'p': 2, 'packet': '2.2.2.6a1.1a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [1, 1], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.2.2.6a1', 'subfield': ['2.2.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.0000000003', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  21. label: 2.4.6.5
    {'associated_inertia': [1], 'aut': 2, 'c': 6, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.1.0a1.1'], 'coeffs': [3, 6, 7, 6, 1], 'ctr': 3, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + (4*t + 4)*x + 2', 'f': 2, 'family': '2.2.2.6a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.0', 'gsm': [-4, 0, -2, 0, 1], 'hidden': '[2]', 'hw': '$i$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.4.6.5', 'n': 4, 'new_label': '2.2.2.6a1.3', 'num': 5, 'old_label': '2.4.6.5', 'p': 2, 'packet': '2.2.2.6a1.3a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [-1, 0], 'slopes': '[2, 3]', 'slopes_tmp': ['2A', '3A'], 'subfamily': '2.2.2.6a1', 'subfield': ['2.2.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.0000000003', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [4, 2]}
  22. label: 2.4.6.6
    {'associated_inertia': [1], 'aut': 2, 'c': 6, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.1.0a1.1'], 'coeffs': [3, 14, 7, 6, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + (4*t + 4)*x + (8*t + 2)', 'f': 2, 'family': '2.2.2.6a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.0', 'gsm': [-20, 0, 0, 0, 1], 'hidden': '[2]', 'hw': '$-i$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.4.6.6', 'n': 4, 'new_label': '2.2.2.6a1.4', 'num': 6, 'old_label': '2.4.6.6', 'p': 2, 'packet': '2.2.2.6a1.3a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [-1, 1], 'slopes': '[2, 3]', 'slopes_tmp': ['2A', '3A'], 'subfamily': '2.2.2.6a1', 'subfield': ['2.2.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.0000000003', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [4, 2]}
  23. label: 2.4.6.7
    {'associated_inertia': [3], 'aut': 1, 'c': 6, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.4.6a2.1'], 'coeffs': [2, 0, 2, 2, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 2, 'distinguished_residual_polynomials': ['z^3 + z + 1'], 'e': 4, 'eisen': 'x^4 + 2*x^3 + 2*x^2 + 2', 'f': 1, 'family': '2.1.4.6a', 'gal': 4, 'galT': 4, 'galois_degree': 12, 'galois_label': '4T4', 'gms': '1.5', 'gsm': [2, 0, 2, -2, 1], 'hidden': '[]^{3}', 'hw': '$-1$', 'ind_of_insep': [3, 2, 0], 'ind_of_insep_tmp': ['3A', '2A', '0A'], 'inertia': ['t', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 2, 7], 'label': '2.4.6.7', 'n': 4, 'new_label': '2.1.4.6a2.1', 'num': 7, 'old_label': '2.4.6.7', 'p': 2, 'packet': '2.1.4.6a2.4a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 3], [4, 0]], 'residual_polynomials': ['z^3 + z + 1'], 'rf': [1, 0], 'slopes': '[2, 2]', 'slopes_tmp': ['2A', '2B'], 'subfamily': '2.1.4.6a2', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '02.0000000002', 'u': 3, 'unram': 't + 1', 'visible': '[2, 2]', 'visible_tmp': ['2A', '2B'], 'wild_gap': [4, 2]}
  24. label: 2.4.6.8
    {'associated_inertia': [2], 'aut': 2, 'c': 6, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.4.6a1.1'], 'coeffs': [2, 0, 0, 2, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^3 + 1'], 'e': 4, 'eisen': 'x^4 + 2*x^3 + 2', 'f': 1, 'family': '2.1.4.6a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '1.5', 'gsm': [2, 0, 0, -2, 1], 'hidden': '[]^{2}', 'hw': '$1$', 'ind_of_insep': [3, 3, 0], 'ind_of_insep_tmp': ['3A', '3B', '0A'], 'inertia': ['t', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 3, 6], 'label': '2.4.6.8', 'n': 4, 'new_label': '2.1.4.6a1.1', 'num': 8, 'old_label': '2.4.6.8', 'p': 2, 'packet': '2.1.4.6a1.3a', 'packet_size': 2, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 3], [4, 0]], 'residual_polynomials': ['z^3 + 1'], 'rf': [1, 1], 'slopes': '[2, 2]', 'slopes_tmp': ['2A', '2B'], 'subfamily': '2.1.4.6a1', 'subfield': ['2.2.2.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '02.0000000002', 'u': 2, 'unram': 't + 1', 'visible': '[2, 2]', 'visible_tmp': ['2A', '2B'], 'wild_gap': [4, 2]}
  25. label: 2.4.6.9
    {'associated_inertia': [2], 'aut': 2, 'c': 6, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.4.6a1.2'], 'coeffs': [6, 0, 0, 2, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^3 + 1'], 'e': 4, 'eisen': 'x^4 + 2*x^3 + 6', 'f': 1, 'family': '2.1.4.6a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '1.5', 'gsm': [1, -2, 0, -2, 1], 'hidden': '[]^{2}', 'hw': '$1$', 'ind_of_insep': [3, 3, 0], 'ind_of_insep_tmp': ['3A', '3B', '0A'], 'inertia': ['t', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 3, 8], 'label': '2.4.6.9', 'n': 4, 'new_label': '2.1.4.6a1.2', 'num': 9, 'old_label': '2.4.6.9', 'p': 2, 'packet': '2.1.4.6a1.3a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 3], [4, 0]], 'residual_polynomials': ['z^3 + 1'], 'rf': [1, 1], 'slopes': '[2, 2]', 'slopes_tmp': ['2A', '2B'], 'subfamily': '2.1.4.6a1', 'subfield': ['2.2.2.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '02.0000000002', 'u': 2, 'unram': 't + 1', 'visible': '[2, 2]', 'visible_tmp': ['2A', '2B'], 'wild_gap': [4, 2]}
  26. label: 2.4.8.1
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.1'], 'coeffs': [10, 4, 2, 0, 1], 'ctr': 2, 'ctr_family': 2, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 2*x^2 + 4*x + 10', 'f': 1, 'family': '2.1.4.8b', 'gal': 2, 'galT': 2, 'galois_degree': 4, 'galois_label': '4T2', 'gms': '2.0', 'gsm': [9, 0, 0, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [5, 2, 0], 'ind_of_insep_tmp': ['5A', '2A', '0A'], 'inertia': ['t', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 8, 12], 'label': '2.4.8.1', 'n': 4, 'new_label': '2.1.4.8b1.2', 'num': 1, 'old_label': '2.4.8.1', 'p': 2, 'packet': '2.1.4.8b1.2a', 'packet_size': 4, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 5], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 3]', 'slopes_tmp': ['2A', '3A'], 'subfamily': '2.1.4.8b1', 'subfield': ['2.2.2.1', '2.2.3.4', '2.2.3.2'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '03.0000000003', 'u': 1, 'unram': 't + 1', 'visible': '[2, 3]', 'visible_tmp': ['2A', '3A'], 'wild_gap': [4, 2]}
  27. label: 2.4.8.2
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.1'], 'coeffs': [2, 4, 2, 0, 1], 'ctr': 1, 'ctr_family': 2, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 2*x^2 + 4*x + 2', 'f': 1, 'family': '2.1.4.8b', 'gal': 2, 'galT': 2, 'galois_degree': 4, 'galois_label': '4T2', 'gms': '2.0', 'gsm': [1, 0, 0, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [5, 2, 0], 'ind_of_insep_tmp': ['5A', '2A', '0A'], 'inertia': ['t', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 2, 4], 'label': '2.4.8.2', 'n': 4, 'new_label': '2.1.4.8b1.1', 'num': 2, 'old_label': '2.4.8.2', 'p': 2, 'packet': '2.1.4.8b1.2a', 'packet_size': 4, 'ppow_roots_of_unity': 3, 'ram_poly_vert': [[1, 5], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 3]', 'slopes_tmp': ['2A', '3A'], 'subfamily': '2.1.4.8b1', 'subfield': ['2.2.2.1', '2.2.3.3', '2.2.3.1'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '03.0000000003', 'u': 1, 'unram': 't + 1', 'visible': '[2, 3]', 'visible_tmp': ['2A', '3A'], 'wild_gap': [4, 2]}
  28. label: 2.4.8.3
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.2'], 'coeffs': [14, 4, 2, 4, 1], 'ctr': 6, 'ctr_family': 2, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 2*x^2 + 4*x + 14', 'f': 1, 'family': '2.1.4.8b', 'gal': 2, 'galT': 2, 'galois_degree': 4, 'galois_label': '4T2', 'gms': '2.0', 'gsm': [1, 0, -4, 0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [5, 2, 0], 'ind_of_insep_tmp': ['5A', '2A', '0A'], 'inertia': ['t', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 2, 8], 'label': '2.4.8.3', 'n': 4, 'new_label': '2.1.4.8b1.6', 'num': 3, 'old_label': '2.4.8.3', 'p': 2, 'packet': '2.1.4.8b1.2a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 3]', 'slopes_tmp': ['2A', '3A'], 'subfamily': '2.1.4.8b1', 'subfield': ['2.2.2.2', '2.2.3.4', '2.2.3.1'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '03.0000000003', 'u': 1, 'unram': 't + 1', 'visible': '[2, 3]', 'visible_tmp': ['2A', '3A'], 'wild_gap': [4, 2]}
  29. label: 2.4.8.4
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.2'], 'coeffs': [6, 4, 2, 4, 1], 'ctr': 5, 'ctr_family': 2, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 2*x^2 + 4*x + 6', 'f': 1, 'family': '2.1.4.8b', 'gal': 2, 'galT': 2, 'galois_degree': 4, 'galois_label': '4T2', 'gms': '2.0', 'gsm': [1, 0, 4, 0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [5, 2, 0], 'ind_of_insep_tmp': ['5A', '2A', '0A'], 'inertia': ['t', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 2, 8], 'label': '2.4.8.4', 'n': 4, 'new_label': '2.1.4.8b1.5', 'num': 4, 'old_label': '2.4.8.4', 'p': 2, 'packet': '2.1.4.8b1.2a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 3]', 'slopes_tmp': ['2A', '3A'], 'subfamily': '2.1.4.8b1', 'subfield': ['2.2.2.2', '2.2.3.3', '2.2.3.2'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '03.0000000003', 'u': 1, 'unram': 't + 1', 'visible': '[2, 3]', 'visible_tmp': ['2A', '3A'], 'wild_gap': [4, 2]}
  30. label: 2.4.8.5
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.2'], 'coeffs': [6, 4, 2, 0, 1], 'ctr': 4, 'ctr_family': 2, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 2*x^2 + 4*x + 6', 'f': 1, 'family': '2.1.4.8b', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.0', 'gsm': [-3, 0, 0, 0, 1], 'hidden': '[]^{2}', 'hw': '$1$', 'ind_of_insep': [5, 2, 0], 'ind_of_insep_tmp': ['5A', '2A', '0A'], 'inertia': ['t', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 2, 8], 'label': '2.4.8.5', 'n': 4, 'new_label': '2.1.4.8b1.4', 'num': 5, 'old_label': '2.4.8.5', 'p': 2, 'packet': '2.1.4.8b1.3a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [1, 1], 'slopes': '[2, 3]', 'slopes_tmp': ['2A', '3A'], 'subfamily': '2.1.4.8b1', 'subfield': ['2.2.2.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.0000000003', 'u': 2, 'unram': 't + 1', 'visible': '[2, 3]', 'visible_tmp': ['2A', '3A'], 'wild_gap': [4, 2]}
  31. label: 2.4.8.6
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.1'], 'coeffs': [2, 4, 2, 4, 1], 'ctr': 3, 'ctr_family': 2, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 2*x^2 + 4*x + 2', 'f': 1, 'family': '2.1.4.8b', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.0', 'gsm': [5, 0, -4, 0, 1], 'hidden': '[]^{2}', 'hw': '$-1$', 'ind_of_insep': [5, 2, 0], 'ind_of_insep_tmp': ['5A', '2A', '0A'], 'inertia': ['t', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 7, 11], 'label': '2.4.8.6', 'n': 4, 'new_label': '2.1.4.8b1.3', 'num': 6, 'old_label': '2.4.8.6', 'p': 2, 'packet': '2.1.4.8b1.3a', 'packet_size': 2, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 5], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [1, 1], 'slopes': '[2, 3]', 'slopes_tmp': ['2A', '3A'], 'subfamily': '2.1.4.8b1', 'subfield': ['2.2.2.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.0000000003', 'u': 2, 'unram': 't + 1', 'visible': '[2, 3]', 'visible_tmp': ['2A', '3A'], 'wild_gap': [4, 2]}
  32. label: 2.4.8.7
    {'associated_inertia': [1], 'aut': 1, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.4.8b1.1'], 'coeffs': [2, 4, 4, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^2 + 4*x + 2', 'f': 1, 'family': '2.1.4.8a', 'gal': 5, 'galT': 5, 'galois_degree': 24, 'galois_label': '4T5', 'gms': '2.1666666666666665', 'gsm': [2, -4, 4, 0, 1], 'hidden': '[]^{2}_{3}', 'hw': '$-1$', 'ind_of_insep': [5, 4, 0], 'ind_of_insep_tmp': ['5A', '4A', '0A'], 'inertia': ['t', [4, 4]], 'inertia_gap': [12, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.8.7', 'n': 4, 'new_label': '2.1.4.8a1.2', 'num': 7, 'old_label': '2.4.8.7', 'p': 2, 'packet': '2.1.4.8a1.5a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [4, 0]], 'residual_polynomials': ['z + 1'], 'rf': [1, 1], 'slopes': '[8/3, 8/3]', 'slopes_tmp': ['8/3A', '8/3B'], 'subfamily': '2.1.4.8a1', 'subfield': [], 'subfield_mult': [], 't': 3, 'top_slope': '02.6666666668/3', 'u': 2, 'unram': 't + 1', 'visible': '[8/3, 8/3]', 'visible_tmp': ['8/3A', '8/3B'], 'wild_gap': [4, 2]}
  33. label: 2.4.8.8
    {'associated_inertia': [1], 'aut': 1, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.4.8b1.2'], 'coeffs': [2, 4, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x + 2', 'f': 1, 'family': '2.1.4.8a', 'gal': 5, 'galT': 5, 'galois_degree': 24, 'galois_label': '4T5', 'gms': '2.1666666666666665', 'gsm': [2, -4, 0, 0, 1], 'hidden': '[]^{2}_{3}', 'hw': '$1$', 'ind_of_insep': [5, 4, 0], 'ind_of_insep_tmp': ['5A', '4A', '0A'], 'inertia': ['t', [4, 4]], 'inertia_gap': [12, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.8.8', 'n': 4, 'new_label': '2.1.4.8a1.1', 'num': 8, 'old_label': '2.4.8.8', 'p': 2, 'packet': '2.1.4.8a1.5a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [4, 0]], 'residual_polynomials': ['z + 1'], 'rf': [1, 1], 'slopes': '[8/3, 8/3]', 'slopes_tmp': ['8/3A', '8/3B'], 'subfamily': '2.1.4.8a1', 'subfield': [], 'subfield_mult': [], 't': 3, 'top_slope': '02.6666666668/3', 'u': 2, 'unram': 't + 1', 'visible': '[8/3, 8/3]', 'visible_tmp': ['8/3A', '8/3B'], 'wild_gap': [4, 2]}
  34. label: 2.4.9.1
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.1'], 'coeffs': [2, 0, 10, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 10*x^2 + 2', 'f': 1, 'family': '2.1.4.9a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [2, 0, 6, 0, 1], 'hidden': '[3]', 'hw': '$1$', 'ind_of_insep': [6, 2, 0], 'ind_of_insep_tmp': ['6A', '2A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 5, 9], 'label': '2.4.9.1', 'n': 4, 'new_label': '2.1.4.9a1.2', 'num': 1, 'old_label': '2.4.9.1', 'p': 2, 'packet': '2.1.4.9a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 6], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 0], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.9a1', 'subfield': ['2.2.2.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[2, 7/2]', 'visible_tmp': ['2A', '7/2A'], 'wild_gap': [8, 3]}
  35. label: 2.4.9.2
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.1'], 'coeffs': [2, 0, 2, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 2*x^2 + 2', 'f': 1, 'family': '2.1.4.9a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [2, 0, -2, 0, 1], 'hidden': '[3]', 'hw': '$-1$', 'ind_of_insep': [6, 2, 0], 'ind_of_insep_tmp': ['6A', '2A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 5, 9], 'label': '2.4.9.2', 'n': 4, 'new_label': '2.1.4.9a1.1', 'num': 2, 'old_label': '2.4.9.2', 'p': 2, 'packet': '2.1.4.9a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 6], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 0], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.9a1', 'subfield': ['2.2.2.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[2, 7/2]', 'visible_tmp': ['2A', '7/2A'], 'wild_gap': [8, 3]}
  36. label: 2.4.9.3
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.1'], 'coeffs': [2, 0, 2, 4, 1], 'ctr': 3, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 2*x^2 + 2', 'f': 1, 'family': '2.1.4.9a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [10, 0, -6, 0, 1], 'hidden': '[3]', 'hw': '$1$', 'ind_of_insep': [6, 2, 0], 'ind_of_insep_tmp': ['6A', '2A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 5, 9], 'label': '2.4.9.3', 'n': 4, 'new_label': '2.1.4.9a1.3', 'num': 3, 'old_label': '2.4.9.3', 'p': 2, 'packet': '2.1.4.9a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 6], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 1], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.9a1', 'subfield': ['2.2.2.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[2, 7/2]', 'visible_tmp': ['2A', '7/2A'], 'wild_gap': [8, 3]}
  37. label: 2.4.9.4
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.1'], 'coeffs': [2, 0, 10, 4, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 10*x^2 + 2', 'f': 1, 'family': '2.1.4.9a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [10, 0, -2, 0, 1], 'hidden': '[3]', 'hw': '$-1$', 'ind_of_insep': [6, 2, 0], 'ind_of_insep_tmp': ['6A', '2A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 5, 9], 'label': '2.4.9.4', 'n': 4, 'new_label': '2.1.4.9a1.4', 'num': 4, 'old_label': '2.4.9.4', 'p': 2, 'packet': '2.1.4.9a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 6], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 1], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.9a1', 'subfield': ['2.2.2.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[2, 7/2]', 'visible_tmp': ['2A', '7/2A'], 'wild_gap': [8, 3]}
  38. label: 2.4.9.5
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.2'], 'coeffs': [6, 8, 2, 4, 1], 'ctr': 8, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 2*x^2 + 8*x + 6', 'f': 1, 'family': '2.1.4.9a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [-2, 0, 2, 0, 1], 'hidden': '[3]', 'hw': '$i$', 'ind_of_insep': [6, 2, 0], 'ind_of_insep_tmp': ['6A', '2A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 2, 8], 'label': '2.4.9.5', 'n': 4, 'new_label': '2.1.4.9a1.8', 'num': 5, 'old_label': '2.4.9.5', 'p': 2, 'packet': '2.1.4.9a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 6], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 0], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.9a1', 'subfield': ['2.2.2.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[2, 7/2]', 'visible_tmp': ['2A', '7/2A'], 'wild_gap': [8, 3]}
  39. label: 2.4.9.6
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.2'], 'coeffs': [6, 8, 2, 0, 1], 'ctr': 7, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 2*x^2 + 8*x + 6', 'f': 1, 'family': '2.1.4.9a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [-2, 0, -2, 0, 1], 'hidden': '[3]', 'hw': '$-i$', 'ind_of_insep': [6, 2, 0], 'ind_of_insep_tmp': ['6A', '2A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 2, 8], 'label': '2.4.9.6', 'n': 4, 'new_label': '2.1.4.9a1.7', 'num': 6, 'old_label': '2.4.9.6', 'p': 2, 'packet': '2.1.4.9a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 6], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 0], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.9a1', 'subfield': ['2.2.2.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[2, 7/2]', 'visible_tmp': ['2A', '7/2A'], 'wild_gap': [8, 3]}
  40. label: 2.4.9.7
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.2'], 'coeffs': [6, 0, 2, 0, 1], 'ctr': 5, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 2*x^2 + 6', 'f': 1, 'family': '2.1.4.9a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [6, 0, 2, 0, 1], 'hidden': '[3]', 'hw': '$i$', 'ind_of_insep': [6, 2, 0], 'ind_of_insep_tmp': ['6A', '2A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 2, 8], 'label': '2.4.9.7', 'n': 4, 'new_label': '2.1.4.9a1.5', 'num': 7, 'old_label': '2.4.9.7', 'p': 2, 'packet': '2.1.4.9a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 6], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 1], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.9a1', 'subfield': ['2.2.2.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[2, 7/2]', 'visible_tmp': ['2A', '7/2A'], 'wild_gap': [8, 3]}
  41. label: 2.4.9.8
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.2'], 'coeffs': [6, 0, 10, 0, 1], 'ctr': 6, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 10*x^2 + 6', 'f': 1, 'family': '2.1.4.9a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [6, 0, -2, 0, 1], 'hidden': '[3]', 'hw': '$-i$', 'ind_of_insep': [6, 2, 0], 'ind_of_insep_tmp': ['6A', '2A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 2, 8], 'label': '2.4.9.8', 'n': 4, 'new_label': '2.1.4.9a1.6', 'num': 8, 'old_label': '2.4.9.8', 'p': 2, 'packet': '2.1.4.9a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 6], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 1], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.9a1', 'subfield': ['2.2.2.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[2, 7/2]', 'visible_tmp': ['2A', '7/2A'], 'wild_gap': [8, 3]}
  42. label: 2.4.10.1
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.2'], 'coeffs': [10, 0, 0, 4, 1], 'ctr': 3, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 10', 'f': 1, 'family': '2.1.4.10a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [-9, 0, -2, 0, 1], 'hidden': '[2]', 'hw': '$i$', 'ind_of_insep': [7, 4, 0], 'ind_of_insep_tmp': ['7A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.10.1', 'n': 4, 'new_label': '2.1.4.10a1.3', 'num': 1, 'old_label': '2.4.10.1', 'p': 2, 'packet': '2.1.4.10a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 7], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-1, 0], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.10a1', 'subfield': ['2.2.3.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[3, 7/2]', 'visible_tmp': ['3A', '7/2A'], 'wild_gap': [8, 3]}
  43. label: 2.4.10.2
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.1'], 'coeffs': [2, 0, 0, 4, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 2', 'f': 1, 'family': '2.1.4.10a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [-1, 0, -2, 0, 1], 'hidden': '[2]', 'hw': '$i$', 'ind_of_insep': [7, 4, 0], 'ind_of_insep_tmp': ['7A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.10.2', 'n': 4, 'new_label': '2.1.4.10a1.1', 'num': 2, 'old_label': '2.4.10.2', 'p': 2, 'packet': '2.1.4.10a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 7], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-1, 0], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.10a1', 'subfield': ['2.2.3.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[3, 7/2]', 'visible_tmp': ['3A', '7/2A'], 'wild_gap': [8, 3]}
  44. label: 2.4.10.3
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.1'], 'coeffs': [2, 0, 8, 4, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 8*x^2 + 2', 'f': 1, 'family': '2.1.4.10a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [-9, 0, -6, 0, 1], 'hidden': '[2]', 'hw': '$-i$', 'ind_of_insep': [7, 4, 0], 'ind_of_insep_tmp': ['7A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.10.3', 'n': 4, 'new_label': '2.1.4.10a1.2', 'num': 3, 'old_label': '2.4.10.3', 'p': 2, 'packet': '2.1.4.10a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 7], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-1, 0], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.10a1', 'subfield': ['2.2.3.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[3, 7/2]', 'visible_tmp': ['3A', '7/2A'], 'wild_gap': [8, 3]}
  45. label: 2.4.10.4
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.2'], 'coeffs': [10, 0, 8, 4, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 8*x^2 + 10', 'f': 1, 'family': '2.1.4.10a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [-1, 0, -6, 0, 1], 'hidden': '[2]', 'hw': '$-i$', 'ind_of_insep': [7, 4, 0], 'ind_of_insep_tmp': ['7A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.10.4', 'n': 4, 'new_label': '2.1.4.10a1.4', 'num': 4, 'old_label': '2.4.10.4', 'p': 2, 'packet': '2.1.4.10a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 7], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-1, 0], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.10a1', 'subfield': ['2.2.3.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[3, 7/2]', 'visible_tmp': ['3A', '7/2A'], 'wild_gap': [8, 3]}
  46. label: 2.4.10.5
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.4'], 'coeffs': [10, 0, 4, 4, 1], 'ctr': 7, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 4*x^2 + 10', 'f': 1, 'family': '2.1.4.10a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [3, 0, -6, 0, 1], 'hidden': '[2]', 'hw': '$i$', 'ind_of_insep': [7, 4, 0], 'ind_of_insep_tmp': ['7A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.10.5', 'n': 4, 'new_label': '2.1.4.10a1.7', 'num': 5, 'old_label': '2.4.10.5', 'p': 2, 'packet': '2.1.4.10a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 7], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-1, 1], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.10a1', 'subfield': ['2.2.3.4'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[3, 7/2]', 'visible_tmp': ['3A', '7/2A'], 'wild_gap': [8, 3]}
  47. label: 2.4.10.6
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.4'], 'coeffs': [10, 0, 12, 4, 1], 'ctr': 8, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 12*x^2 + 10', 'f': 1, 'family': '2.1.4.10a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [3, 0, 6, 0, 1], 'hidden': '[2]', 'hw': '$-i$', 'ind_of_insep': [7, 4, 0], 'ind_of_insep_tmp': ['7A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.10.6', 'n': 4, 'new_label': '2.1.4.10a1.8', 'num': 6, 'old_label': '2.4.10.6', 'p': 2, 'packet': '2.1.4.10a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 7], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-1, 1], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.10a1', 'subfield': ['2.2.3.4'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[3, 7/2]', 'visible_tmp': ['3A', '7/2A'], 'wild_gap': [8, 3]}
  48. label: 2.4.10.7
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.3'], 'coeffs': [2, 0, 4, 4, 1], 'ctr': 5, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 4*x^2 + 2', 'f': 1, 'family': '2.1.4.10a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [3, 0, -2, 0, 1], 'hidden': '[2]', 'hw': '$i$', 'ind_of_insep': [7, 4, 0], 'ind_of_insep_tmp': ['7A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.10.7', 'n': 4, 'new_label': '2.1.4.10a1.5', 'num': 7, 'old_label': '2.4.10.7', 'p': 2, 'packet': '2.1.4.10a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 7], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-1, 1], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.10a1', 'subfield': ['2.2.3.3'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[3, 7/2]', 'visible_tmp': ['3A', '7/2A'], 'wild_gap': [8, 3]}
  49. label: 2.4.10.8
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.3'], 'coeffs': [2, 0, 12, 4, 1], 'ctr': 6, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^3 + 12*x^2 + 2', 'f': 1, 'family': '2.1.4.10a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [3, 0, 2, 0, 1], 'hidden': '[2]', 'hw': '$-i$', 'ind_of_insep': [7, 4, 0], 'ind_of_insep_tmp': ['7A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.10.8', 'n': 4, 'new_label': '2.1.4.10a1.6', 'num': 8, 'old_label': '2.4.10.8', 'p': 2, 'packet': '2.1.4.10a1.3a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 7], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-1, 1], 'slopes': '[2, 3, 7/2]', 'slopes_tmp': ['2A', '3A', '7/2A'], 'subfamily': '2.1.4.10a1', 'subfield': ['2.2.3.3'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 1, 'unram': 't + 1', 'visible': '[3, 7/2]', 'visible_tmp': ['3A', '7/2A'], 'wild_gap': [8, 3]}
  50. label: 2.4.11.1
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.1'], 'coeffs': [2, 0, 4, 8, 1], 'ctr': 11, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 8*x^3 + 4*x^2 + 2', 'f': 1, 'family': '2.1.4.11a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '2.75', 'gsm': [2, 0, -4, 0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.1', 'n': 4, 'new_label': '2.1.4.11a1.11', 'num': 1, 'old_label': '2.4.11.1', 'p': 2, 'packet': '2.1.4.11a1.1a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 0], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  51. label: 2.4.11.2
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.1'], 'coeffs': [2, 0, 4, 0, 1], 'ctr': 9, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^2 + 2', 'f': 1, 'family': '2.1.4.11a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '2.75', 'gsm': [2, 0, 4, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.2', 'n': 4, 'new_label': '2.1.4.11a1.9', 'num': 2, 'old_label': '2.4.11.2', 'p': 2, 'packet': '2.1.4.11a1.1a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 0], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  52. label: 2.4.11.3
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.1'], 'coeffs': [18, 0, 4, 0, 1], 'ctr': 10, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^2 + 18', 'f': 1, 'family': '2.1.4.11a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '2.75', 'gsm': [18, 0, -12, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.3', 'n': 4, 'new_label': '2.1.4.11a1.10', 'num': 3, 'old_label': '2.4.11.3', 'p': 2, 'packet': '2.1.4.11a1.1a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 0], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  53. label: 2.4.11.4
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.1'], 'coeffs': [18, 0, 4, 8, 1], 'ctr': 12, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 8*x^3 + 4*x^2 + 18', 'f': 1, 'family': '2.1.4.11a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '2.75', 'gsm': [18, 0, 12, 0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.4', 'n': 4, 'new_label': '2.1.4.11a1.12', 'num': 4, 'old_label': '2.4.11.4', 'p': 2, 'packet': '2.1.4.11a1.1a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 0], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  54. label: 2.4.11.5
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.3'], 'coeffs': [2, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 2', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '3.0', 'gsm': [2, 0, 0, 0, 1], 'hidden': '[2]', 'hw': '$-1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.5', 'n': 4, 'new_label': '2.1.4.11a1.1', 'num': 5, 'old_label': '2.4.11.5', 'p': 2, 'packet': '2.1.4.11a1.3b', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 0], 'slopes': '[2, 3, 4]', 'slopes_tmp': ['2A', '3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.3'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [8, 3]}
  55. label: 2.4.11.6
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.3'], 'coeffs': [18, 0, 0, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 18', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '3.0', 'gsm': [18, 0, 0, 0, 1], 'hidden': '[2]', 'hw': '$-1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.6', 'n': 4, 'new_label': '2.1.4.11a1.2', 'num': 6, 'old_label': '2.4.11.6', 'p': 2, 'packet': '2.1.4.11a1.3b', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 0], 'slopes': '[2, 3, 4]', 'slopes_tmp': ['2A', '3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.3'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [8, 3]}
  56. label: 2.4.11.7
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.2'], 'coeffs': [26, 0, 4, 8, 1], 'ctr': 18, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 8*x^3 + 4*x^2 + 26', 'f': 1, 'family': '2.1.4.11a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '2.75', 'gsm': [26, 0, -52, 0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.7', 'n': 4, 'new_label': '2.1.4.11a1.18', 'num': 7, 'old_label': '2.4.11.7', 'p': 2, 'packet': '2.1.4.11a1.1a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 1], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  57. label: 2.4.11.8
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.2'], 'coeffs': [10, 0, 4, 0, 1], 'ctr': 15, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^2 + 10', 'f': 1, 'family': '2.1.4.11a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '2.75', 'gsm': [10, 0, 20, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.8', 'n': 4, 'new_label': '2.1.4.11a1.15', 'num': 8, 'old_label': '2.4.11.8', 'p': 2, 'packet': '2.1.4.11a1.1a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 1], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  58. label: 2.4.11.9
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.2'], 'coeffs': [10, 0, 4, 8, 1], 'ctr': 17, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 8*x^3 + 4*x^2 + 10', 'f': 1, 'family': '2.1.4.11a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '2.75', 'gsm': [10, 0, -20, 0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.9', 'n': 4, 'new_label': '2.1.4.11a1.17', 'num': 9, 'old_label': '2.4.11.9', 'p': 2, 'packet': '2.1.4.11a1.1a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 1], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  59. label: 2.4.11.10
    {'associated_inertia': [1, 1], 'aut': 4, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.2'], 'coeffs': [26, 0, 4, 0, 1], 'ctr': 16, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^2 + 26', 'f': 1, 'family': '2.1.4.11a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '2.75', 'gsm': [26, 0, 52, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.10', 'n': 4, 'new_label': '2.1.4.11a1.16', 'num': 10, 'old_label': '2.4.11.10', 'p': 2, 'packet': '2.1.4.11a1.1a', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 1], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  60. label: 2.4.11.11
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.4'], 'coeffs': [10, 0, 0, 0, 1], 'ctr': 5, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 10', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '3.0', 'gsm': [10, 0, 0, 0, 1], 'hidden': '[2]', 'hw': '$-1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.11', 'n': 4, 'new_label': '2.1.4.11a1.5', 'num': 11, 'old_label': '2.4.11.11', 'p': 2, 'packet': '2.1.4.11a1.3b', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 1], 'slopes': '[2, 3, 4]', 'slopes_tmp': ['2A', '3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.4'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [8, 3]}
  61. label: 2.4.11.12
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.4'], 'coeffs': [26, 0, 0, 0, 1], 'ctr': 6, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 26', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '3.0', 'gsm': [26, 0, 0, 0, 1], 'hidden': '[2]', 'hw': '$-1$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.12', 'n': 4, 'new_label': '2.1.4.11a1.6', 'num': 12, 'old_label': '2.4.11.12', 'p': 2, 'packet': '2.1.4.11a1.3b', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [2, 1], 'slopes': '[2, 3, 4]', 'slopes_tmp': ['2A', '3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.4'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [8, 3]}
  62. label: 2.4.11.13
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.4'], 'coeffs': [10, 8, 0, 8, 1], 'ctr': 8, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 8*x^3 + 8*x + 10', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [14, 0, 4, 0, 1], 'hidden': '[]^{2}', 'hw': '$-i$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.13', 'n': 4, 'new_label': '2.1.4.11a1.8', 'num': 13, 'old_label': '2.4.11.13', 'p': 2, 'packet': '2.1.4.11a1.3a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 0], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.4'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 2, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  63. label: 2.4.11.14
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.4'], 'coeffs': [10, 8, 0, 0, 1], 'ctr': 7, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 8*x + 10', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [-2, 0, -4, 0, 1], 'hidden': '[]^{2}', 'hw': '$i$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.14', 'n': 4, 'new_label': '2.1.4.11a1.7', 'num': 14, 'old_label': '2.4.11.14', 'p': 2, 'packet': '2.1.4.11a1.3a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 0], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.4'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 2, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  64. label: 2.4.11.15
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.1'], 'coeffs': [18, 8, 4, 0, 1], 'ctr': 14, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^2 + 8*x + 18', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '3.0', 'gsm': [30, 0, 0, 0, 1], 'hidden': '[2]', 'hw': '$i$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.15', 'n': 4, 'new_label': '2.1.4.11a1.14', 'num': 15, 'old_label': '2.4.11.15', 'p': 2, 'packet': '2.1.4.11a1.3b', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 0], 'slopes': '[2, 3, 4]', 'slopes_tmp': ['2A', '3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [8, 3]}
  65. label: 2.4.11.16
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.1'], 'coeffs': [2, 8, 4, 0, 1], 'ctr': 13, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^2 + 8*x + 2', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '3.0', 'gsm': [14, 0, 0, 0, 1], 'hidden': '[2]', 'hw': '$i$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.16', 'n': 4, 'new_label': '2.1.4.11a1.13', 'num': 16, 'old_label': '2.4.11.16', 'p': 2, 'packet': '2.1.4.11a1.3b', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 0], 'slopes': '[2, 3, 4]', 'slopes_tmp': ['2A', '3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [8, 3]}
  66. label: 2.4.11.17
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.3'], 'coeffs': [2, 8, 0, 8, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 8*x^3 + 8*x + 2', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [6, 0, 4, 0, 1], 'hidden': '[]^{2}', 'hw': '$-i$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.17', 'n': 4, 'new_label': '2.1.4.11a1.4', 'num': 17, 'old_label': '2.4.11.17', 'p': 2, 'packet': '2.1.4.11a1.3a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 1], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.3'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 2, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  67. label: 2.4.11.18
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.3'], 'coeffs': [2, 8, 0, 0, 1], 'ctr': 3, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 8*x + 2', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '2.75', 'gsm': [6, 0, 12, 0, 1], 'hidden': '[]^{2}', 'hw': '$i$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.18', 'n': 4, 'new_label': '2.1.4.11a1.3', 'num': 18, 'old_label': '2.4.11.18', 'p': 2, 'packet': '2.1.4.11a1.3a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 1], 'slopes': '[3, 4]', 'slopes_tmp': ['3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.3'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 2, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [4, 1]}
  68. label: 2.4.11.19
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.2'], 'coeffs': [10, 8, 4, 0, 1], 'ctr': 19, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^2 + 8*x + 10', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '3.0', 'gsm': [22, 0, 0, 0, 1], 'hidden': '[2]', 'hw': '$i$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.19', 'n': 4, 'new_label': '2.1.4.11a1.19', 'num': 19, 'old_label': '2.4.11.19', 'p': 2, 'packet': '2.1.4.11a1.3b', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 1], 'slopes': '[2, 3, 4]', 'slopes_tmp': ['2A', '3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [8, 3]}
  69. label: 2.4.11.20
    {'associated_inertia': [1, 1], 'aut': 2, 'c': 11, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.2'], 'coeffs': [26, 8, 4, 0, 1], 'ctr': 20, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + 1', 'z + 1'], 'e': 4, 'eisen': 'x^4 + 4*x^2 + 8*x + 26', 'f': 1, 'family': '2.1.4.11a', 'gal': 3, 'galT': 3, 'galois_degree': 8, 'galois_label': '4T3', 'gms': '3.0', 'gsm': [6, 0, 0, 0, 1], 'hidden': '[2]', 'hw': '$i$', 'ind_of_insep': [8, 4, 0], 'ind_of_insep_tmp': ['8A', '4A', '0A'], 'inertia': ['t', [4, 3]], 'inertia_gap': [8, 3], 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.4.11.20', 'n': 4, 'new_label': '2.1.4.11a1.20', 'num': 20, 'old_label': '2.4.11.20', 'p': 2, 'packet': '2.1.4.11a1.3b', 'packet_size': 8, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 8], [2, 4], [4, 0]], 'residual_polynomials': ['z^2 + 1', 'z + 1'], 'rf': [-2, 1], 'slopes': '[2, 3, 4]', 'slopes_tmp': ['2A', '3A', '4A'], 'subfamily': '2.1.4.11a1', 'subfield': ['2.2.3.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '04.0000000004', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4]', 'visible_tmp': ['3A', '4A'], 'wild_gap': [8, 3]}
  70. label: 2.5.0.1
    {'associated_inertia': [], 'aut': 5, 'c': 0, 'canonical_filtration': ['2.5.1.0a1.1', '2.5.1.0a1.1'], 'coeffs': [1, 0, 1, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': [], 'e': 1, 'eisen': 'x - 2', 'f': 5, 'family': '2.5.1.0a', 'gal': 1, 'galT': 1, 'galois_degree': 5, 'galois_label': '5T1', 'gms': '0.0', 'gsm': [-1, 3, 3, -4, -1, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [1, 1]], 'inertia_gap': [1, 1], 'is_completion': True, 'jump_set': [1], 'label': '2.5.0.1', 'n': 5, 'new_label': '2.5.1.0a1.1', 'num': 1, 'old_label': '2.5.0.1', 'p': 2, 'packet': '2.5.1.0a1.1a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [], 'residual_polynomials': [], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.5.1.0a1', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '00.0000000000', 'u': 5, 'unram': 't^5 + t^2 + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
  71. label: 2.5.4.1
    {'associated_inertia': [4], 'aut': 1, 'c': 4, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.5.4a1.1'], 'coeffs': [2, 0, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^3 + 1'], 'e': 5, 'eisen': 'x^5 + 2', 'f': 1, 'family': '2.1.5.4a', 'gal': 3, 'galT': 3, 'galois_degree': 20, 'galois_label': '5T3', 'gms': '0.8', 'gsm': [-2, 0, 0, 0, 0, 1], 'hidden': '[]^{4}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [5, 1]], 'inertia_gap': [5, 1], 'is_completion': True, 'jump_set': [5], 'label': '2.5.4.1', 'n': 5, 'new_label': '2.1.5.4a1.1', 'num': 1, 'old_label': '2.5.4.1', 'p': 2, 'packet': '2.1.5.4a1.3a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 0], [5, 0]], 'residual_polynomials': ['z^4 + z^3 + 1'], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.1.5.4a1', 'subfield': [], 'subfield_mult': [], 't': 5, 'top_slope': '01.0000000001', 'u': 4, 'unram': 't + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
  72. label: 2.6.0.1
    {'associated_inertia': [], 'aut': 6, 'c': 0, 'canonical_filtration': ['2.6.1.0a1.1', '2.6.1.0a1.1'], 'coeffs': [1, 1, 0, 1, 1, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': [], 'e': 1, 'eisen': 'x - 2', 'f': 6, 'family': '2.6.1.0a', 'gal': 1, 'galT': 1, 'galois_degree': 6, 'galois_label': '6T1', 'gms': '0.0', 'gsm': [-1, -3, 6, 4, -5, -1, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [1, 1]], 'inertia_gap': [1, 1], 'is_completion': True, 'jump_set': [1], 'label': '2.6.0.1', 'n': 6, 'new_label': '2.6.1.0a1.1', 'num': 1, 'old_label': '2.6.0.1', 'p': 2, 'packet': '2.6.1.0a1.1a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [], 'residual_polynomials': [], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.6.1.0a1', 'subfield': ['2.2.0.1', '2.3.0.1'], 'subfield_mult': [1, 1], 't': 1, 'top_slope': '00.0000000000', 'u': 6, 'unram': 't^6 + t^4 + t^3 + t + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
  73. label: 2.6.4.1
    {'associated_inertia': [1], 'aut': 6, 'c': 4, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.3.4a1.1'], 'coeffs': [3, 3, 6, 7, 6, 3, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + z + 1'], 'e': 3, 'eisen': 'x^3 + 2', 'f': 2, 'family': '2.2.3.4a', 'gal': 2, 'galT': 2, 'galois_degree': 6, 'galois_label': '6T2', 'gms': '0.6666666666666666', 'gsm': [1, -3, 0, 5, 0, -3, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [3, 1]], 'inertia_gap': [3, 1], 'is_completion': True, 'jump_set': [3], 'label': '2.6.4.1', 'n': 6, 'new_label': '2.2.3.4a1.2', 'num': 1, 'old_label': '2.6.4.1', 'p': 2, 'packet': '2.2.3.4a1.2a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 0], [3, 0]], 'residual_polynomials': ['z^2 + z + 1'], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.2.3.4a1', 'subfield': ['2.2.0.1', '2.3.2.1'], 'subfield_mult': [1, 3], 't': 3, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
  74. label: 2.6.4.2
    {'associated_inertia': [1], 'aut': 3, 'c': 4, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.3.4a1.2'], 'coeffs': [1, 5, 6, 7, 6, 3, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^2 + z + 1'], 'e': 3, 'eisen': 'x^3 + 2*t', 'f': 2, 'family': '2.2.3.4a', 'gal': 5, 'galT': 5, 'galois_degree': 18, 'galois_label': '6T5', 'gms': '0.6666666666666666', 'gsm': [4, 0, 0, -2, 0, 0, 1], 'hidden': '[]^{3}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [3, 1]], 'inertia_gap': [3, 1], 'is_completion': True, 'jump_set': [3], 'label': '2.6.4.2', 'n': 6, 'new_label': '2.2.3.4a1.1', 'num': 2, 'old_label': '2.6.4.2', 'p': 2, 'packet': '2.2.3.4a1.5a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 0], [3, 0]], 'residual_polynomials': ['z^2 + z + 1'], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.2.3.4a1', 'subfield': ['2.2.0.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '01.0000000001', 'u': 6, 'unram': 't^2 + t + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
  75. label: 2.6.6.1
    {'associated_inertia': [1], 'aut': 2, 'c': 6, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [5, 6, 3, 4, 4, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 3, 'distinguished_residual_polynomials': ['z + t + 1'], 'e': 2, 'eisen': 'x^2 + (2*t + 2)*x + 2', 'f': 3, 'family': '2.3.2.6a', 'gal': 4, 'galT': 4, 'galois_degree': 12, 'galois_label': '6T4', 'gms': '1.5', 'gsm': [-1, 0, -3, 0, 0, 0, 1], 'hidden': '[2]', 'hw': '$-1$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['i', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.6.1', 'n': 6, 'new_label': '2.3.2.6a3.1', 'num': 1, 'old_label': '2.6.6.1', 'p': 2, 'packet': '2.3.2.6a3.4a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + t^2'], 'rf': [1, 0], 'slopes': '[2, 2]', 'slopes_tmp': ['2A', '2B'], 'subfamily': '2.3.2.6a3', 'subfield': ['2.3.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '02.0000000002', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [4, 2]}
  76. label: 2.6.6.2
    {'associated_inertia': [1], 'aut': 2, 'c': 6, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [5, 6, 7, 4, 4, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 3, 'distinguished_residual_polynomials': ['z + t + 1'], 'e': 2, 'eisen': 'x^2 + (2*t + 2)*x + (4*t^2 + 2)', 'f': 3, 'family': '2.3.2.6a', 'gal': 6, 'galT': 6, 'galois_degree': 24, 'galois_label': '6T6', 'gms': '1.5', 'gsm': [3, 0, 0, 0, -3, 0, 1], 'hidden': '[2]^{2}', 'hw': '$-1$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['i', [4, 2]], 'inertia_gap': [4, 2], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.6.2', 'n': 6, 'new_label': '2.3.2.6a3.2', 'num': 2, 'old_label': '2.6.6.2', 'p': 2, 'packet': '2.3.2.6a3.6a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + t^2'], 'rf': [1, 1], 'slopes': '[2, 2]', 'slopes_tmp': ['2A', '2B'], 'subfamily': '2.3.2.6a3', 'subfield': ['2.3.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '02.0000000002', 'u': 6, 'unram': 't^3 + t + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [4, 2]}
  77. label: 2.6.6.3
    {'associated_inertia': [1], 'aut': 6, 'c': 6, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [5, 4, 1, 4, 2, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 2*x + 2', 'f': 3, 'family': '2.3.2.6a', 'gal': 1, 'galT': 1, 'galois_degree': 6, 'galois_label': '6T1', 'gms': '1.0', 'gsm': [1, 0, 9, 0, 6, 0, 1], 'hidden': '[]', 'hw': '$-i$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 2], 'label': '2.6.6.3', 'n': 6, 'new_label': '2.3.2.6a1.1', 'num': 3, 'old_label': '2.6.6.3', 'p': 2, 'packet': '2.3.2.6a1.1a', 'packet_size': 2, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + (t^2 + 1)'], 'rf': [-1, 0], 'slopes': '[2]', 'slopes_tmp': ['2A'], 'subfamily': '2.3.2.6a1', 'subfield': ['2.2.2.1', '2.3.0.1'], 'subfield_mult': [1, 1], 't': 1, 'top_slope': '02.0000000002', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [2, 1]}
  78. label: 2.6.6.4
    {'associated_inertia': [1], 'aut': 2, 'c': 6, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [7, 4, 3, 2, 4, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 2, 'distinguished_residual_polynomials': ['z + t'], 'e': 2, 'eisen': 'x^2 + 2*t^2*x + 2', 'f': 3, 'family': '2.3.2.6a', 'gal': 6, 'galT': 6, 'galois_degree': 24, 'galois_label': '6T6', 'gms': '1.75', 'gsm': [1, 0, -3, 0, 0, 0, 1], 'hidden': '[2,2]', 'hw': '$i$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['i', [8, 5]], 'inertia_gap': [8, 5], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.6.4', 'n': 6, 'new_label': '2.3.2.6a2.2', 'num': 4, 'old_label': '2.6.6.4', 'p': 2, 'packet': '2.3.2.6a2.6a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [-1, 0], 'slopes': '[2, 2, 2]', 'slopes_tmp': ['2A', '2B', '2C'], 'subfamily': '2.3.2.6a2', 'subfield': ['2.3.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '02.0000000002', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [8, 5]}
  79. label: 2.6.6.5
    {'associated_inertia': [1], 'aut': 6, 'c': 6, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [9, 4, 1, 4, 2, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 2*x + 6', 'f': 3, 'family': '2.3.2.6a', 'gal': 1, 'galT': 1, 'galois_degree': 6, 'galois_label': '6T1', 'gms': '1.0', 'gsm': [-3, 0, 9, 0, -6, 0, 1], 'hidden': '[]', 'hw': '$-i$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 4], 'label': '2.6.6.5', 'n': 6, 'new_label': '2.3.2.6a1.2', 'num': 5, 'old_label': '2.6.6.5', 'p': 2, 'packet': '2.3.2.6a1.1a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + (t^2 + 1)'], 'rf': [-1, 1], 'slopes': '[2]', 'slopes_tmp': ['2A'], 'subfamily': '2.3.2.6a1', 'subfield': ['2.2.2.2', '2.3.0.1'], 'subfield_mult': [1, 1], 't': 1, 'top_slope': '02.0000000002', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [2, 1]}
  80. label: 2.6.6.6
    {'associated_inertia': [1], 'aut': 2, 'c': 6, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [3, 4, 3, 2, 4, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 2, 'distinguished_residual_polynomials': ['z + t'], 'e': 2, 'eisen': 'x^2 + (2*t^2 + 2*t)*x + 6', 'f': 3, 'family': '2.3.2.6a', 'gal': 6, 'galT': 6, 'galois_degree': 24, 'galois_label': '6T6', 'gms': '1.75', 'gsm': [-3, 0, 0, 0, 3, 0, 1], 'hidden': '[2,2]', 'hw': '$i$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['i', [8, 5]], 'inertia_gap': [8, 5], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.6.6', 'n': 6, 'new_label': '2.3.2.6a2.1', 'num': 6, 'old_label': '2.6.6.6', 'p': 2, 'packet': '2.3.2.6a2.6a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [-1, 1], 'slopes': '[2, 2, 2]', 'slopes_tmp': ['2A', '2B', '2C'], 'subfamily': '2.3.2.6a2', 'subfield': ['2.3.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '02.0000000002', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [8, 5]}
  81. label: 2.6.6.7
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 6, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [2, 2, 2, 0, 0, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^2 + 2*x + 2', 'f': 1, 'family': '2.1.6.6a', 'gal': 7, 'galT': 7, 'galois_degree': 24, 'galois_label': '6T7', 'gms': '1.1666666666666667', 'gsm': [-1, 0, 3, -6, -3, 0, 1], 'hidden': '[4/3]^{2}', 'hw': '$1$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['t', [6, 4]], 'inertia_gap': [12, 3], 'is_completion': True, 'jump_set': [3, 7], 'label': '2.6.6.7', 'n': 6, 'new_label': '2.1.6.6a1.2', 'num': 7, 'old_label': '2.6.6.7', 'p': 2, 'packet': '2.1.6.6a1.7a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[4/3, 4/3]', 'slopes_tmp': ['4/3A', '4/3B'], 'subfamily': '2.1.6.6a1', 'subfield': ['2.3.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '01.3333333334/3', 'u': 2, 'unram': 't + 1', 'visible': '[4/3]', 'visible_tmp': ['4/3A'], 'wild_gap': [4, 2]}
  82. label: 2.6.6.8
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 6, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [2, 2, 0, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x + 2', 'f': 1, 'family': '2.1.6.6a', 'gal': 8, 'galT': 8, 'galois_degree': 24, 'galois_label': '6T8', 'gms': '1.1666666666666667', 'gsm': [30, 18, 0, -12, 0, 0, 1], 'hidden': '[4/3]^{2}', 'hw': '$1$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['t', [6, 4]], 'inertia_gap': [12, 3], 'is_completion': True, 'jump_set': [3, 7], 'label': '2.6.6.8', 'n': 6, 'new_label': '2.1.6.6a1.1', 'num': 8, 'old_label': '2.6.6.8', 'p': 2, 'packet': '2.1.6.6a1.8a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [1, 1], 'slopes': '[4/3, 4/3]', 'slopes_tmp': ['4/3A', '4/3B'], 'subfamily': '2.1.6.6a1', 'subfield': ['2.3.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '01.3333333334/3', 'u': 2, 'unram': 't + 1', 'visible': '[4/3]', 'visible_tmp': ['4/3A'], 'wild_gap': [4, 2]}
  83. label: 2.6.8.1
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [2, 0, 0, 2, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^3 + 2', 'f': 1, 'family': '2.1.6.8a', 'gal': 3, 'galT': 3, 'galois_degree': 12, 'galois_label': '6T3', 'gms': '1.3333333333333333', 'gsm': [2, 0, 0, -2, 0, 0, 1], 'hidden': '[]^{2}', 'hw': '$-i$', 'ind_of_insep': [3, 0], 'ind_of_insep_tmp': ['3A', '0A'], 'inertia': ['t', [6, 1]], 'inertia_gap': [6, 2], 'is_completion': True, 'jump_set': [3, 6], 'label': '2.6.8.1', 'n': 6, 'new_label': '2.1.6.8a1.1', 'num': 1, 'old_label': '2.6.8.1', 'p': 2, 'packet': '2.1.6.8a1.3a', 'packet_size': 2, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 3], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [-1, 0], 'slopes': '[2]', 'slopes_tmp': ['2A'], 'subfamily': '2.1.6.8a1', 'subfield': ['2.2.2.1', '2.3.2.1'], 'subfield_mult': [1, 1], 't': 3, 'top_slope': '02.0000000002', 'u': 2, 'unram': 't + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [2, 1]}
  84. label: 2.6.8.2
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [2, 0, 0, 2, 0, 2, 1], 'ctr': 3, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^5 + 2*x^3 + 2', 'f': 1, 'family': '2.1.6.8a', 'gal': 11, 'galT': 11, 'galois_degree': 48, 'galois_label': '6T11', 'gms': '1.5833333333333333', 'gsm': [49, 0, 3, 0, 3, 0, 1], 'hidden': '[4/3,4/3]^{2}', 'hw': '$-i$', 'ind_of_insep': [3, 0], 'ind_of_insep_tmp': ['3A', '0A'], 'inertia': ['t', [6, 6]], 'inertia_gap': [24, 13], 'is_completion': True, 'jump_set': [3, 11], 'label': '2.6.8.2', 'n': 6, 'new_label': '2.1.6.8a1.3', 'num': 2, 'old_label': '2.6.8.2', 'p': 2, 'packet': '2.1.6.8a1.11a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 3], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [-1, 0], 'slopes': '[4/3, 4/3, 2]', 'slopes_tmp': ['4/3A', '4/3B', '2A'], 'subfamily': '2.1.6.8a1', 'subfield': ['2.3.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '02.0000000002', 'u': 2, 'unram': 't + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [8, 5]}
  85. label: 2.6.8.3
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [6, 0, 0, 2, 0, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^3 + 6', 'f': 1, 'family': '2.1.6.8a', 'gal': 3, 'galT': 3, 'galois_degree': 12, 'galois_label': '6T3', 'gms': '1.3333333333333333', 'gsm': [1, 6, 3, -2, -3, 0, 1], 'hidden': '[]^{2}', 'hw': '$-i$', 'ind_of_insep': [3, 0], 'ind_of_insep_tmp': ['3A', '0A'], 'inertia': ['t', [6, 1]], 'inertia_gap': [6, 2], 'is_completion': True, 'jump_set': [3, 12], 'label': '2.6.8.3', 'n': 6, 'new_label': '2.1.6.8a1.2', 'num': 3, 'old_label': '2.6.8.3', 'p': 2, 'packet': '2.1.6.8a1.3a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 3], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [-1, 1], 'slopes': '[2]', 'slopes_tmp': ['2A'], 'subfamily': '2.1.6.8a1', 'subfield': ['2.2.2.2', '2.3.2.1'], 'subfield_mult': [1, 1], 't': 3, 'top_slope': '02.0000000002', 'u': 2, 'unram': 't + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [2, 1]}
  86. label: 2.6.8.4
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 8, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [6, 0, 0, 2, 0, 2, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^5 + 2*x^3 + 6', 'f': 1, 'family': '2.1.6.8a', 'gal': 11, 'galT': 11, 'galois_degree': 48, 'galois_label': '6T11', 'gms': '1.5833333333333333', 'gsm': [-3, 0, -9, 0, -9, 0, 1], 'hidden': '[4/3,4/3]^{2}', 'hw': '$-i$', 'ind_of_insep': [3, 0], 'ind_of_insep_tmp': ['3A', '0A'], 'inertia': ['t', [6, 6]], 'inertia_gap': [24, 13], 'is_completion': True, 'jump_set': [3, 11], 'label': '2.6.8.4', 'n': 6, 'new_label': '2.1.6.8a1.4', 'num': 4, 'old_label': '2.6.8.4', 'p': 2, 'packet': '2.1.6.8a1.11a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 3], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [-1, 1], 'slopes': '[4/3, 4/3, 2]', 'slopes_tmp': ['4/3A', '4/3B', '2A'], 'subfamily': '2.1.6.8a1', 'subfield': ['2.3.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '02.0000000002', 'u': 2, 'unram': 't + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [8, 5]}
  87. label: 2.6.9.1
    {'associated_inertia': [1], 'aut': 6, 'c': 9, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [7, 6, 1, 6, 2, 0, 1], 'ctr': 5, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 4*x + 2', 'f': 3, 'family': '2.3.2.9a', 'gal': 1, 'galT': 1, 'galois_degree': 6, 'galois_label': '6T1', 'gms': '1.5', 'gsm': [-8, 0, 36, 0, -12, 0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.9.1', 'n': 6, 'new_label': '2.3.2.9a1.5', 'num': 1, 'old_label': '2.6.9.1', 'p': 2, 'packet': '2.3.2.9a1.1a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + (t^2 + t + 1)'], 'rf': [2, 0], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.3.2.9a1', 'subfield': ['2.2.3.1', '2.3.0.1'], 'subfield_mult': [1, 1], 't': 1, 'top_slope': '03.0000000003', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  88. label: 2.6.9.2
    {'associated_inertia': [1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [7, 10, 5, 6, 6, 0, 1], 'ctr': 7, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + (4*t + 4)*x + 2', 'f': 3, 'family': '2.3.2.9a', 'gal': 6, 'galT': 6, 'galois_degree': 24, 'galois_label': '6T6', 'gms': '2.25', 'gsm': [-8, 0, -12, 0, 0, 0, 1], 'hidden': '[2,2]', 'hw': '$-1$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [8, 5]], 'inertia_gap': [8, 5], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.9.2', 'n': 6, 'new_label': '2.3.2.9a1.7', 'num': 2, 'old_label': '2.6.9.2', 'p': 2, 'packet': '2.3.2.9a1.6a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + (t^2 + t + 1)'], 'rf': [2, 0], 'slopes': '[2, 2, 3]', 'slopes_tmp': ['2A', '2B', '3A'], 'subfamily': '2.3.2.9a1', 'subfield': ['2.3.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.0000000003', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [8, 5]}
  89. label: 2.6.9.3
    {'associated_inertia': [1], 'aut': 6, 'c': 9, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [15, 6, 1, 6, 2, 0, 1], 'ctr': 6, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 4*x + 10', 'f': 3, 'family': '2.3.2.9a', 'gal': 1, 'galT': 1, 'galois_degree': 6, 'galois_label': '6T1', 'gms': '1.5', 'gsm': [24, 0, 36, 0, 12, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.9.3', 'n': 6, 'new_label': '2.3.2.9a1.6', 'num': 3, 'old_label': '2.6.9.3', 'p': 2, 'packet': '2.3.2.9a1.1a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + (t^2 + t + 1)'], 'rf': [2, 1], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.3.2.9a1', 'subfield': ['2.2.3.2', '2.3.0.1'], 'subfield_mult': [1, 1], 't': 1, 'top_slope': '03.0000000003', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  90. label: 2.6.9.4
    {'associated_inertia': [1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [15, 10, 5, 6, 6, 0, 1], 'ctr': 8, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + (4*t + 4)*x + 10', 'f': 3, 'family': '2.3.2.9a', 'gal': 6, 'galT': 6, 'galois_degree': 24, 'galois_label': '6T6', 'gms': '2.25', 'gsm': [24, 0, 0, 0, -6, 0, 1], 'hidden': '[2,2]', 'hw': '$1$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [8, 5]], 'inertia_gap': [8, 5], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.9.4', 'n': 6, 'new_label': '2.3.2.9a1.8', 'num': 4, 'old_label': '2.6.9.4', 'p': 2, 'packet': '2.3.2.9a1.6a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + (t^2 + t + 1)'], 'rf': [2, 1], 'slopes': '[2, 2, 3]', 'slopes_tmp': ['2A', '2B', '3A'], 'subfamily': '2.3.2.9a1', 'subfield': ['2.3.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.0000000003', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [8, 5]}
  91. label: 2.6.9.5
    {'associated_inertia': [1], 'aut': 6, 'c': 9, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [3, 2, 1, 2, 2, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 2', 'f': 3, 'family': '2.3.2.9a', 'gal': 1, 'galT': 1, 'galois_degree': 6, 'galois_label': '6T1', 'gms': '1.5', 'gsm': [8, 0, 36, 0, 12, 0, 1], 'hidden': '[]', 'hw': '$-i$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.9.5', 'n': 6, 'new_label': '2.3.2.9a1.1', 'num': 5, 'old_label': '2.6.9.5', 'p': 2, 'packet': '2.3.2.9a1.1a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + (t^2 + t + 1)'], 'rf': [-2, 0], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.3.2.9a1', 'subfield': ['2.2.3.3', '2.3.0.1'], 'subfield_mult': [1, 1], 't': 1, 'top_slope': '03.0000000003', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  92. label: 2.6.9.6
    {'associated_inertia': [1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [3, 6, 5, 2, 6, 0, 1], 'ctr': 3, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 4*t*x + 2', 'f': 3, 'family': '2.3.2.9a', 'gal': 6, 'galT': 6, 'galois_degree': 24, 'galois_label': '6T6', 'gms': '2.25', 'gsm': [8, 0, -12, 0, 0, 0, 1], 'hidden': '[2,2]', 'hw': '$i$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [8, 5]], 'inertia_gap': [8, 5], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.9.6', 'n': 6, 'new_label': '2.3.2.9a1.3', 'num': 6, 'old_label': '2.6.9.6', 'p': 2, 'packet': '2.3.2.9a1.6a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + (t^2 + t + 1)'], 'rf': [-2, 0], 'slopes': '[2, 2, 3]', 'slopes_tmp': ['2A', '2B', '3A'], 'subfamily': '2.3.2.9a1', 'subfield': ['2.3.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.0000000003', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [8, 5]}
  93. label: 2.6.9.7
    {'associated_inertia': [1], 'aut': 6, 'c': 9, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [11, 2, 1, 2, 2, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 10', 'f': 3, 'family': '2.3.2.9a', 'gal': 1, 'galT': 1, 'galois_degree': 6, 'galois_label': '6T1', 'gms': '1.5', 'gsm': [-24, 0, 36, 0, -12, 0, 1], 'hidden': '[]', 'hw': '$i$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.9.7', 'n': 6, 'new_label': '2.3.2.9a1.2', 'num': 7, 'old_label': '2.6.9.7', 'p': 2, 'packet': '2.3.2.9a1.1a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + (t^2 + t + 1)'], 'rf': [-2, 1], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.3.2.9a1', 'subfield': ['2.2.3.4', '2.3.0.1'], 'subfield_mult': [1, 1], 't': 1, 'top_slope': '03.0000000003', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}
  94. label: 2.6.9.8
    {'associated_inertia': [1], 'aut': 2, 'c': 9, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.1.0a1.1'], 'coeffs': [11, 6, 5, 2, 6, 0, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 4*t*x + 10', 'f': 3, 'family': '2.3.2.9a', 'gal': 6, 'galT': 6, 'galois_degree': 24, 'galois_label': '6T6', 'gms': '2.25', 'gsm': [-24, 0, 0, 0, 6, 0, 1], 'hidden': '[2,2]', 'hw': '$-i$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [8, 5]], 'inertia_gap': [8, 5], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.6.9.8', 'n': 6, 'new_label': '2.3.2.9a1.4', 'num': 8, 'old_label': '2.6.9.8', 'p': 2, 'packet': '2.3.2.9a1.6a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + (t^2 + t + 1)'], 'rf': [-2, 1], 'slopes': '[2, 2, 3]', 'slopes_tmp': ['2A', '2B', '3A'], 'subfamily': '2.3.2.9a1', 'subfield': ['2.3.0.1'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.0000000003', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [8, 5]}
  95. label: 2.6.10.1
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [2, 4, 0, 4, 4, 2, 1], 'ctr': 8, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^5 + 4*x^4 + 4*x^3 + 4*x + 2', 'f': 1, 'family': '2.1.6.10a', 'gal': 7, 'galT': 7, 'galois_degree': 24, 'galois_label': '6T7', 'gms': '2.1666666666666665', 'gsm': [-4, 0, 8, 0, -2, 0, 1], 'hidden': '[8/3]^{2}', 'hw': '$-1$', 'ind_of_insep': [5, 0], 'ind_of_insep_tmp': ['5A', '0A'], 'inertia': ['t', [6, 4]], 'inertia_gap': [12, 3], 'is_completion': True, 'jump_set': [3, 9], 'label': '2.6.10.1', 'n': 6, 'new_label': '2.1.6.10a1.8', 'num': 1, 'old_label': '2.6.10.1', 'p': 2, 'packet': '2.1.6.10a1.7a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[8/3, 8/3]', 'slopes_tmp': ['8/3A', '8/3B'], 'subfamily': '2.1.6.10a1', 'subfield': ['2.3.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '02.6666666668/3', 'u': 2, 'unram': 't + 1', 'visible': '[8/3]', 'visible_tmp': ['8/3A'], 'wild_gap': [4, 2]}
  96. label: 2.6.10.2
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [2, 4, 0, 0, 4, 2, 1], 'ctr': 6, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^5 + 4*x^4 + 4*x + 2', 'f': 1, 'family': '2.1.6.10a', 'gal': 7, 'galT': 7, 'galois_degree': 24, 'galois_label': '6T7', 'gms': '2.1666666666666665', 'gsm': [-1, 0, 3, 0, 3, 0, 1], 'hidden': '[8/3]^{2}', 'hw': '$1$', 'ind_of_insep': [5, 0], 'ind_of_insep_tmp': ['5A', '0A'], 'inertia': ['t', [6, 4]], 'inertia_gap': [12, 3], 'is_completion': True, 'jump_set': [3, 9], 'label': '2.6.10.2', 'n': 6, 'new_label': '2.1.6.10a1.6', 'num': 2, 'old_label': '2.6.10.2', 'p': 2, 'packet': '2.1.6.10a1.7a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[8/3, 8/3]', 'slopes_tmp': ['8/3A', '8/3B'], 'subfamily': '2.1.6.10a1', 'subfield': ['2.3.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '02.6666666668/3', 'u': 2, 'unram': 't + 1', 'visible': '[8/3]', 'visible_tmp': ['8/3A'], 'wild_gap': [4, 2]}
  97. label: 2.6.10.3
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [2, 4, 0, 0, 0, 2, 1], 'ctr': 5, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^5 + 4*x + 2', 'f': 1, 'family': '2.1.6.10a', 'gal': 8, 'galT': 8, 'galois_degree': 24, 'galois_label': '6T8', 'gms': '2.1666666666666665', 'gsm': [3, 0, 3, 0, 3, 0, 1], 'hidden': '[8/3]^{2}', 'hw': '$1$', 'ind_of_insep': [5, 0], 'ind_of_insep_tmp': ['5A', '0A'], 'inertia': ['t', [6, 4]], 'inertia_gap': [12, 3], 'is_completion': True, 'jump_set': [3, 9], 'label': '2.6.10.3', 'n': 6, 'new_label': '2.1.6.10a1.5', 'num': 3, 'old_label': '2.6.10.3', 'p': 2, 'packet': '2.1.6.10a1.8a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [1, 1], 'slopes': '[8/3, 8/3]', 'slopes_tmp': ['8/3A', '8/3B'], 'subfamily': '2.1.6.10a1', 'subfield': ['2.3.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '02.6666666668/3', 'u': 2, 'unram': 't + 1', 'visible': '[8/3]', 'visible_tmp': ['8/3A'], 'wild_gap': [4, 2]}
  98. label: 2.6.10.4
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [2, 4, 0, 4, 0, 2, 1], 'ctr': 7, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^5 + 4*x^3 + 4*x + 2', 'f': 1, 'family': '2.1.6.10a', 'gal': 8, 'galT': 8, 'galois_degree': 24, 'galois_label': '6T8', 'gms': '2.1666666666666665', 'gsm': [27, 0, 7, 0, -1, 0, 1], 'hidden': '[8/3]^{2}', 'hw': '$-1$', 'ind_of_insep': [5, 0], 'ind_of_insep_tmp': ['5A', '0A'], 'inertia': ['t', [6, 4]], 'inertia_gap': [12, 3], 'is_completion': True, 'jump_set': [3, 9], 'label': '2.6.10.4', 'n': 6, 'new_label': '2.1.6.10a1.7', 'num': 4, 'old_label': '2.6.10.4', 'p': 2, 'packet': '2.1.6.10a1.8a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [1, 1], 'slopes': '[8/3, 8/3]', 'slopes_tmp': ['8/3A', '8/3B'], 'subfamily': '2.1.6.10a1', 'subfield': ['2.3.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '02.6666666668/3', 'u': 2, 'unram': 't + 1', 'visible': '[8/3]', 'visible_tmp': ['8/3A'], 'wild_gap': [4, 2]}
  99. label: 2.6.10.5
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [2, 0, 0, 0, 4, 2, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^5 + 4*x^4 + 2', 'f': 1, 'family': '2.1.6.10a', 'gal': 11, 'galT': 11, 'galois_degree': 48, 'galois_label': '6T11', 'gms': '2.3333333333333335', 'gsm': [1, 0, 3, 0, -3, 0, 1], 'hidden': '[2,8/3]^{2}', 'hw': '$-i$', 'ind_of_insep': [5, 0], 'ind_of_insep_tmp': ['5A', '0A'], 'inertia': ['t', [6, 6]], 'inertia_gap': [24, 13], 'is_completion': True, 'jump_set': [3, 9], 'label': '2.6.10.5', 'n': 6, 'new_label': '2.1.6.10a1.2', 'num': 5, 'old_label': '2.6.10.5', 'p': 2, 'packet': '2.1.6.10a1.11a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [-1, 0], 'slopes': '[2, 8/3, 8/3]', 'slopes_tmp': ['2A', '8/3A', '8/3B'], 'subfamily': '2.1.6.10a1', 'subfield': ['2.3.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '02.6666666668/3', 'u': 2, 'unram': 't + 1', 'visible': '[8/3]', 'visible_tmp': ['8/3A'], 'wild_gap': [8, 5]}
  100. label: 2.6.10.6
    {'associated_inertia': [2, 1], 'aut': 2, 'c': 10, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1'], 'coeffs': [2, 0, 0, 4, 4, 2, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^5 + 4*x^4 + 4*x^3 + 2', 'f': 1, 'family': '2.1.6.10a', 'gal': 11, 'galT': 11, 'galois_degree': 48, 'galois_label': '6T11', 'gms': '2.3333333333333335', 'gsm': [4, 0, 8, 0, 2, 0, 1], 'hidden': '[2,8/3]^{2}', 'hw': '$i$', 'ind_of_insep': [5, 0], 'ind_of_insep_tmp': ['5A', '0A'], 'inertia': ['t', [6, 6]], 'inertia_gap': [24, 13], 'is_completion': True, 'jump_set': [3, 9], 'label': '2.6.10.6', 'n': 6, 'new_label': '2.1.6.10a1.4', 'num': 6, 'old_label': '2.6.10.6', 'p': 2, 'packet': '2.1.6.10a1.11a', 'packet_size': 4, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [-1, 0], 'slopes': '[2, 8/3, 8/3]', 'slopes_tmp': ['2A', '8/3A', '8/3B'], 'subfamily': '2.1.6.10a1', 'subfield': ['2.3.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '02.6666666668/3', 'u': 2, 'unram': 't + 1', 'visible': '[8/3]', 'visible_tmp': ['8/3A'], 'wild_gap': [8, 5]}