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lf_fields • Show schema
{'associated_inertia': [2], 'aut': 2, 'c': 7, 'canonical_filtration': ['7.1.1.0a1.1', '7.1.8.7a1.2'], 'coeffs': [21, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^7 + z^6 + 1'], 'e': 8, 'eisen': 'x^8 + 21', 'f': 1, 'family': '7.1.8.7a', 'gal': 6, 'galois_degree': 16, 'galois_label': '8T6', 'gms': '0.875', 'gsm': [4, -16, 14, -28, 21, -14, 7, -2, 1], 'hidden': '[]^{2}', 'hw': '$-i$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [8, 1]], 'inertia_gap': [8, 1], 'is_completion': True, 'jump_set': [], 'label': '7.8.7.2', 'n': 8, 'new_label': '7.1.8.7a1.2', 'num': 2, 'old_label': '7.8.7.2', 'p': 7, 'packet': '7.1.8.7a1.6a', 'packet_size': 2, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [8, 0]], 'residual_polynomials': ['z^7 + z^6 + 1'], 'rf': [7, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '7.1.8.7a1', 'subfield': ['7.2.1.1', '7.4.3.2'], 'subfield_mult': [1, 1], 't': 8, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't + 4', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 7.1.8.7a1.2