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lf_fields • Show schema
{'associated_inertia': [2], 'aut': 2, 'c': 8, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.5.8a1.1'], 'coeffs': [3, 5, 15, 30, 45, 51, 45, 30, 15, 5, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^3 + 1'], 'e': 5, 'eisen': 'x^5 + 2', 'f': 2, 'family': '2.2.5.8a', 'gal': 4, 'galois_degree': 20, 'galois_label': '10T4', 'gms': '0.8', 'gsm': [-1, 5, -5, -10, 35, -49, 45, -30, 15, -5, 1], 'hidden': '[]^{2}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [5, 1]], 'inertia_gap': [5, 1], 'is_completion': True, 'jump_set': [5], 'label': '2.10.8.1', 'n': 10, 'new_label': '2.2.5.8a1.1', 'num': 1, 'old_label': '2.10.8.1', 'p': 2, 'packet': '2.2.5.8a1.4a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 0], [5, 0]], 'residual_polynomials': ['z^4 + z^3 + 1'], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.2.5.8a1', 'subfield': ['2.2.0.1', '2.5.4.1'], 'subfield_mult': [1, 1], 't': 5, 'top_slope': '01.0000000001', 'u': 4, 'unram': 't^2 + t + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 2.2.5.8a1.1