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lf_fields • Show schema
{'associated_inertia': [1, 1, 1, 1], 'aut': 8, 'c': 58, 'canonical_filtration': None, 'coeffs': [14, 16, 8, 0, 4, 0, 8, 16, 26, 0, 0, 8, 0, 0, 4, 8, 1], 'ctr': 1236, 'ctr_family': 13, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^8 + 1', 'z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 16, 'eisen': 'x^16 + 8*x^15 + 4*x^14 + 8*x^11 + 26*x^8 + 16*x^7 + 8*x^6 + 4*x^4 + 8*x^2 + 16*x + 14', 'f': 1, 'family': '2.1.16.58m', 'gal': 137, 'galT': 137, 'galois_degree': 64, 'galois_label': '16T137', 'gms': '3.6875', 'gsm': [0], 'hidden': '[2]^{2}', 'hw': '$1$', 'ind_of_insep': [43, 30, 20, 8, 0], 'ind_of_insep_tmp': ['43A', '30A', '20A', '8A', '0A'], 'inertia': None, 'inertia_gap': None, 'is_completion': False, 'jump_set': [1, 2, 4, 8, 32], 'label': '2.16.58.12624', 'n': 16, 'new_label': '2.1.16.58m1.1236', 'num': 12624, 'old_label': '2.16.58.12624', 'p': 2, 'packet': '2.1.16.58m1.137a', 'packet_size': 16, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 43], [2, 30], [4, 20], [8, 8], [16, 0]], 'residual_polynomials': ['z^8 + 1', 'z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 2, 3, 7/2, 9/2]', 'slopes_tmp': ['2A', '2B', '3A', '7/2A', '9/2A'], 'subfamily': '2.1.16.58m1', 'subfield': ['2.2.2.2', '2.2.3.1', '2.2.3.4', '2.4.8.3', '2.4.10.2', '2.4.10.3', '2.8.22.99'], 'subfield_mult': [1, 1, 1, 1, 1, 1, 1], 't': 1, 'top_slope': '04.5000000009/2', 'u': 2, 'unram': 't + 1', 'visible': '[2, 3, 7/2, 9/2]', 'visible_tmp': ['2A', '3A', '7/2A', '9/2A'], 'wild_gap': None}
Local field data - 2.1.16.58m1.1236