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lf_fields • Show schema
{'associated_inertia': [1, 2, 2], 'aut': 1, 'c': 45, 'canonical_filtration': None, 'coeffs': [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 3, 0, 0, 0, 0, 9, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 4, 'distinguished_residual_polynomials': ['z^9 + 2', '2*z^6 + 2', '2*z^2 + 2'], 'e': 18, 'eisen': 'x^18 + 9*x^17 + 3*x^12 + 18*x^10 + 3', 'f': 1, 'family': '3.1.18.45a', 'gal': 50, 'galois_degree': 108, 'galois_label': '18T50', 'gms': None, 'gsm': [0], 'hidden': None, 'hw': '$i$', 'ind_of_insep': [28, 12, 0], 'ind_of_insep_tmp': ['28A', '12A', '0A'], 'inertia': None, 'inertia_gap': None, 'is_completion': True, 'jump_set': [1, 7, 25], 'label': '3.18.45.299', 'n': 18, 'new_label': '3.1.18.45a4.2', 'num': 299, 'old_label': '3.18.45.299', 'p': 3, 'packet': None, 'packet_size': None, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 28], [3, 12], [9, 0], [18, 0]], 'residual_polynomials': ['z^9 + 2', '2*z^6 + 2', '2*z^2 + 2'], 'rf': [3, 1], 'slopes': None, 'slopes_tmp': None, 'subfamily': '3.1.18.45a4', 'subfield': ['3.2.1.2', '3.3.4.4', '3.6.9.12'], 'subfield_mult': [1, 1, 1], 't': None, 'top_slope': '03.0000000003', 'u': None, 'unram': 't + 1', 'visible': '[2, 3]', 'visible_tmp': ['2A', '3A'], 'wild_gap': None}
Local field data - 3.1.18.45a4.2