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lf_fields • Show schema
{'associated_inertia': [4], 'aut': 2, 'c': 9, 'canonical_filtration': ['3.1.1.0a1.1', '3.1.10.9a1.2'], 'coeffs': [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^9 + z^8 + 1'], 'e': 10, 'eisen': 'x^10 + 3', 'f': 1, 'family': '3.1.10.9a', 'gal': 5, 'galT': 5, 'galois_degree': 40, 'galois_label': '10T5', 'gms': '0.9', 'gsm': [3, 0, 0, 0, 0, -3, 0, 0, 0, 0, 1], 'hidden': '[]^{4}', 'hw': '$-i$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [10, 1]], 'inertia_gap': [10, 2], 'is_completion': True, 'jump_set': [5], 'label': '3.10.9.2', 'n': 10, 'new_label': '3.1.10.9a1.1', 'num': 2, 'old_label': '3.10.9.2', 'p': 3, 'packet': '3.1.10.9a1.5a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 0], [10, 0]], 'residual_polynomials': ['z^9 + z^8 + 1'], 'rf': [3, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '3.1.10.9a1', 'subfield': ['3.2.1.2', '3.5.4.1'], 'subfield_mult': [1, 1], 't': 10, 'top_slope': '01.0000000001', 'u': 4, 'unram': 't + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 3.1.10.9a1.1