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lf_fields • Show schema
{'associated_inertia': [1, 1, 2], 'aut': 2, 'c': 56, 'canonical_filtration': None, 'coeffs': [6, 0, 0, 0, 4, 0, 8, 0, 2, 8, 0, 0, 0, 0, 8, 0, 1], 'ctr': 163, 'ctr_family': 12, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^8 + 1', 'z^4 + 1', 'z^3 + 1'], 'e': 16, 'eisen': 'x^16 + 8*x^14 + 8*x^9 + 2*x^8 + 8*x^6 + 4*x^4 + 6', 'f': 1, 'family': '2.1.16.56l', 'gal': 691, 'galT': 691, 'galois_degree': 256, 'galois_label': '16T691', 'gms': '3.75', 'gsm': [0], 'hidden': '[3,7/2]^{4}', 'hw': '$-1$', 'ind_of_insep': [41, 36, 20, 8, 0], 'ind_of_insep_tmp': ['41A', '36A', '20A', '8A', '0A'], 'inertia': None, 'inertia_gap': None, 'is_completion': False, 'jump_set': [1, 2, 4, 8, 32], 'label': '2.16.56.2677', 'n': 16, 'new_label': '2.1.16.56l1.163', 'num': 2677, 'old_label': '2.16.56.2677', 'p': 2, 'packet': '2.1.16.56l1.691a', 'packet_size': 16, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 41], [4, 20], [8, 8], [16, 0]], 'residual_polynomials': ['z^8 + 1', 'z^4 + 1', 'z^3 + 1'], 'rf': [1, 0], 'slopes': '[2, 3, 3, 7/2, 4, 4]', 'slopes_tmp': ['2A', '3A', '3B', '7/2A', '4A', '4B'], 'subfamily': '2.1.16.56l1', 'subfield': ['2.2.2.2', '2.4.8.5', '2.8.24.68'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '04.0000000004', 'u': 4, 'unram': 't + 1', 'visible': '[2, 3, 4, 4]', 'visible_tmp': ['2A', '3A', '4A', '4B'], 'wild_gap': None}
Local field data - 2.1.16.56l1.163