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lf_fields • Show schema
{'associated_inertia': [1, 1, 1], 'aut': 2, 'c': 54, 'canonical_filtration': None, 'coeffs': [29, 128, 416, 1056, 2092, 3328, 4324, 4688, 4269, 3280, 2112, 1128, 490, 168, 44, 8, 1], 'ctr': 2286, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + (8*t + 8)*x^7 + 8*t*x^5 + 2*x^4 + 16*x^3 + 8*t*x^2 + (4*t + 2)', 'f': 2, 'family': '2.2.8.54a', 'gal': 1251, 'galT': 1251, 'galois_degree': 1024, 'galois_label': '16T1251', 'gms': '4.25', 'gsm': [0], 'hidden': '[17/4,3,3,4,4]_{2}', 'hw': '$-i$', 'ind_of_insep': [20, 12, 4, 0], 'ind_of_insep_tmp': ['20A', '12A', '4A', '0A'], 'inertia': None, 'inertia_gap': None, 'is_completion': False, 'jump_set': [1, 2, 4, 16], 'label': '2.16.54.15757', 'n': 16, 'new_label': '2.2.8.54a1.2286', 'num': 15757, 'old_label': '2.16.54.15757', 'p': 2, 'packet': None, 'packet_size': None, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 20], [2, 12], [4, 4], [8, 0]], 'residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [-1, 0], 'slopes': '[2, 3, 3, 7/2, 4, 4, 17/4, 9/2]', 'slopes_tmp': ['2A', '3A', '3B', '7/2A', '4A', '4B', '17/4A', '9/2A'], 'subfamily': '2.2.8.54a1', 'subfield': ['2.2.0.1', '2.4.4.2', '2.8.18.32'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '04.5000000009/2', 'u': 4, 'unram': 't^2 + t + 1', 'visible': '[2, 7/2, 9/2]', 'visible_tmp': ['2A', '7/2A', '9/2A'], 'wild_gap': None}
Local field data - 2.2.8.54a1.2286