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lf_fields • Show schema
{'associated_inertia': [3, 1], 'aut': 4, 'c': 32, 'canonical_filtration': None, 'coeffs': [15, 44, 126, 272, 508, 800, 1090, 1276, 1289, 1116, 826, 516, 268, 112, 36, 8, 1], 'ctr': 5, 'ctr_family': 3, 'ctr_subfamily': 6, 'distinguished_residual_polynomials': ['z^6 + z^2 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + 2*x^6 + 2*x^4 + 4*x^3 + 4*x + 2', 'f': 2, 'family': '2.2.8.32c', 'gal': 427, 'galT': 427, 'galois_degree': 192, 'galois_label': '16T427', 'gms': '2.1875', 'gsm': [1296, 0, 1024, 0, 3456, 0, 2624, 0, 1224, 0, 448, 0, 112, 0, 16, 0, 1], 'hidden': '[2,2]^{3}', 'hw': '$1$', 'ind_of_insep': [9, 6, 4, 0], 'ind_of_insep_tmp': ['9A', '6A', '4A', '0A'], 'inertia': ['i', [32, 49]], 'inertia_gap': [32, 49], 'is_completion': True, 'jump_set': [1, 2, 7, 15], 'label': '2.16.32.1534', 'n': 16, 'new_label': '2.2.8.32c6.5', 'num': 1534, 'old_label': '2.16.32.1534', 'p': 2, 'packet': '2.2.8.32c6.427a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 9], [2, 6], [8, 0]], 'residual_polynomials': ['z^6 + z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 2, 2, 2, 5/2]', 'slopes_tmp': ['2A', '2B', '2C', '2D', '5/2A'], 'subfamily': '2.2.8.32c6', 'subfield': ['2.2.0.1', '2.4.6.7', '2.8.12.16', '2.8.16.76', '2.8.16.78'], 'subfield_mult': [1, 1, 1, 1, 1], 't': 1, 'top_slope': '02.5000000005/2', 'u': 6, 'unram': 't^2 + t + 1', 'visible': '[2, 2, 5/2]', 'visible_tmp': ['2A', '2B', '5/2A'], 'wild_gap': [32, 49]}
Local field data - 2.2.8.32c6.5