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lf_fields • Show schema
{'associated_inertia': [1, 1, 1], 'aut': 4, 'c': 56, 'canonical_filtration': None, 'coeffs': [31, 192, 600, 1392, 2502, 3720, 4612, 4856, 4343, 3304, 2116, 1128, 490, 168, 44, 8, 1], 'ctr': 371, '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 + 28*t*x^4 + (16*t + 16)*x^3 + 8*t*x^2 + 2', 'f': 2, 'family': '2.2.8.56a', 'gal': 1120, 'galT': 1120, 'galois_degree': 1024, 'galois_label': '16T1120', 'gms': '3.9609375', 'gsm': [0], 'hidden': '[15/4,2,2,2,3]_{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': '2.16.56.27526', 'n': 16, 'new_label': '2.2.8.56a1.371', 'num': 27526, 'old_label': '2.16.56.27526', 'p': 2, 'packet': '2.2.8.56a1.1120b', 'packet_size': 160, '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, 1], 'slopes': '[2, 2, 2, 3, 3, 7/2, 15/4, 9/2]', 'slopes_tmp': ['2A', '2B', '2C', '3A', '3B', '7/2A', '15/4A', '9/2A'], 'subfamily': '2.2.8.56a1', 'subfield': ['2.2.0.1', '2.4.6.5', '2.8.20.15'], 'subfield_mult': [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 - 2.2.8.56a1.371