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lf_fields • Show schema
{'associated_inertia': [3], 'aut': 6, 'c': 17, 'canonical_filtration': ['7.1.1.0a1.1', '7.1.18.17a1.1'], 'coeffs': [42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 6, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^17 + 4*z^16 + 6*z^15 + 4*z^14 + z^13 + 2*z^10 + z^9 + 5*z^8 + z^7 + 2*z^6 + z^3 + 4*z^2 + 6*z + 4'], 'e': 18, 'eisen': 'x^18 + 42', 'f': 1, 'family': '7.1.18.17a', 'gal': 14, 'galT': 14, 'galois_degree': 54, 'galois_label': '18T14', 'gms': '0.9444444444444444', 'gsm': [0], 'hidden': '[]^{3}', 'hw': '$-i$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [18, 1]], 'inertia_gap': [18, 2], 'is_completion': True, 'jump_set': [], 'label': '7.18.17.1', 'n': 18, 'new_label': '7.1.18.17a1.6', 'num': 1, 'old_label': '7.18.17.1', 'p': 7, 'packet': '7.1.18.17a1.14a', 'packet_size': 6, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [18, 0]], 'residual_polynomials': ['z^17 + 4*z^16 + 6*z^15 + 4*z^14 + z^13 + 2*z^10 + z^9 + 5*z^8 + z^7 + 2*z^6 + z^3 + 4*z^2 + 6*z + 4'], 'rf': [7, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '7.1.18.17a1', 'subfield': ['7.2.1.1', '7.3.2.2', '7.6.5.2', '7.9.8.2'], 'subfield_mult': [1, 1, 1, 1], 't': 18, 'top_slope': '01.0000000001', 'u': 3, 'unram': 't + 4', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 7.1.18.17a1.6