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lf_fields • Show schema
{'associated_inertia': [1, 1, 1], 'aut': 2, 'c': 30, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.1', '2.1.4.11a1.2'], 'coeffs': [2, 0, 0, 0, 4, 16, 24, 8, 1], 'ctr': 76, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + 8*x^7 + 24*x^6 + 16*x^5 + 4*x^4 + 2', 'f': 1, 'family': '2.1.8.30a', 'gal': 27, 'galT': 27, 'galois_degree': 64, 'galois_label': '8T27', 'gms': '4.28125', 'gsm': [343, 0, 196, 0, 70, 0, 12, 0, 1], 'hidden': '[2,7/2,17/4]', 'hw': '$-i$', 'ind_of_insep': [23, 16, 8, 0], 'ind_of_insep_tmp': ['23A', '16A', '8A', '0A'], 'inertia': ['t', [8, 27]], 'inertia_gap': [64, 32], 'is_completion': True, 'jump_set': [1, 3, 7, 15], 'label': '2.8.30.38', 'n': 8, 'new_label': '2.1.8.30a1.76', 'num': 38, 'old_label': '2.8.30.38', 'p': 2, 'packet': '2.1.8.30a1.27a', 'packet_size': 32, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 23], [2, 16], [4, 8], [8, 0]], 'residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [-1, 0], 'slopes': '[2, 3, 7/2, 4, 17/4, 19/4]', 'slopes_tmp': ['2A', '3A', '7/2A', '4A', '17/4A', '19/4A'], 'subfamily': '2.1.8.30a1', 'subfield': ['2.2.3.1', '2.4.11.2'], 'subfield_mult': [1, 1], 't': 1, 'top_slope': '04.75000000019/4', 'u': 1, 'unram': 't + 1', 'visible': '[3, 4, 19/4]', 'visible_tmp': ['3A', '4A', '19/4A'], 'wild_gap': [64, 32]}
Local field data - 2.1.8.30a1.76