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lf_fields • Show schema
{'associated_inertia': [3], 'aut': 6, 'c': 16, 'canonical_filtration': ['7.2.1.0a1.1', '7.2.9.16a1.1'], 'coeffs': [19690, 354294, 2893401, 14171760, 46373148, 106918056, 178625412, 219294864, 198960138, 133555716, 66320046, 24366096, 6615756, 1319976, 190836, 19440, 1323, 54, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^8 + 2*z^7 + z^6 + z + 2'], 'e': 9, 'eisen': 'x^9 + 7', 'f': 2, 'family': '7.2.9.16a', 'gal': 14, 'galois_degree': 54, 'galois_label': '18T14', 'gms': '0.8888888888888888', 'gsm': [0], 'hidden': '[]^{3}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [9, 1]], 'inertia_gap': [9, 1], 'is_completion': True, 'jump_set': [], 'label': '7.18.16.1', 'n': 18, 'new_label': '7.2.9.16a1.2', 'num': 1, 'old_label': '7.18.16.1', 'p': 7, 'packet': '7.2.9.16a1.14a', 'packet_size': 3, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [9, 0]], 'residual_polynomials': ['z^8 + 2*z^7 + z^6 + z + 2'], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '7.2.9.16a1', 'subfield': ['7.2.0.1', '7.3.2.2', '7.6.4.3', '7.9.8.2'], 'subfield_mult': [1, 1, 1, 1], 't': 9, 'top_slope': '01.0000000001', 'u': 6, 'unram': 't^2 + 6*t + 3', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 7.2.9.16a1.2