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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 1, 'c': 9, 'canonical_filtration': ['3.1.1.0a1.1', '3.1.1.0a1.1', '3.1.9.9a1.1'], 'coeffs': [3, 6, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 9, 'eisen': 'x^9 + 6*x + 3', 'f': 1, 'family': '3.1.9.9a', 'gal': 19, 'galois_degree': 144, 'galois_label': '9T19', 'gms': '1.0972222222222223', 'gsm': [4, -12, 0, 0, 12, 12, 0, 0, -3, 1], 'hidden': '[]^{2}_{8}', 'hw': '$-i$', 'ind_of_insep': [1, 1, 0], 'ind_of_insep_tmp': ['1A', '1B', '0A'], 'inertia': ['t', [9, 15]], 'inertia_gap': [72, 39], 'is_completion': True, 'jump_set': [], 'label': '3.9.9.12', 'n': 9, 'new_label': '3.1.9.9a1.2', 'num': 12, 'old_label': '3.9.9.12', 'p': 3, 'packet': '3.1.9.9a1.19a', 'packet_size': 2, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 1], [9, 0]], 'residual_polynomials': ['z + 1'], 'rf': [3, 1], 'slopes': '[9/8, 9/8]', 'slopes_tmp': ['9/8A', '9/8B'], 'subfamily': '3.1.9.9a1', 'subfield': [], 'subfield_mult': [], 't': 8, 'top_slope': '01.1250000009/8', 'u': 2, 'unram': 't + 1', 'visible': '[9/8, 9/8]', 'visible_tmp': ['9/8A', '9/8B'], 'wild_gap': [9, 2]}
Local field data - 3.1.9.9a1.2