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lf_fields • Show schema
{'associated_inertia': [1, 1, 1], 'aut': 2, 'c': 56, 'canonical_filtration': None, 'coeffs': [35, 128, 400, 936, 1790, 2864, 3924, 4648, 4735, 4112, 3004, 1816, 886, 336, 92, 16, 1], 'ctr': 713, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + 8*t*x^7 + 4*x^6 + 8*x^5 + 4*x^4 + 16*t*x^3 + 2', 'f': 2, 'family': '2.2.8.56a', 'gal': 869, 'galT': 869, 'galois_degree': 512, 'galois_label': '16T869', 'gms': '4.015625', 'gsm': [0], 'hidden': '[2,2,3,4]^{2}', 'hw': '$-1$', 'ind_of_insep': [21, 14, 8, 0], 'ind_of_insep_tmp': ['21A', '14A', '8A', '0A'], 'inertia': None, 'inertia_gap': None, 'is_completion': False, 'jump_set': [1, 3, 7, 15], 'label': '2.16.56.18142', 'n': 16, 'new_label': '2.2.8.56a1.713', 'num': 18142, 'old_label': '2.16.56.18142', 'p': 2, 'packet': '2.2.8.56a1.869b', 'packet_size': 32, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 21], [2, 14], [4, 8], [8, 0]], 'residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 2, 3, 3, 7/2, 4, 9/2]', 'slopes_tmp': ['2A', '2B', '3A', '3B', '7/2A', '4A', '9/2A'], 'subfamily': '2.2.8.56a1', 'subfield': ['2.2.0.1', '2.2.3.3', '2.2.3.4', '2.4.6.2', '2.4.10.7', '2.4.10.8', '2.8.20.8'], 'subfield_mult': [1, 1, 1, 1, 1, 1, 1], 't': 1, 'top_slope': '04.5000000009/2', 'u': 4, 'unram': 't^2 + t + 1', 'visible': '[3, 7/2, 9/2]', 'visible_tmp': ['3A', '7/2A', '9/2A'], 'wild_gap': None}
Local field data - 2.2.8.56a1.713