-
lf_fields • Show schema
{'associated_inertia': [1, 1, 1], 'aut': 2, 'c': 56, 'canonical_filtration': None, 'coeffs': [39, 216, 728, 1824, 3518, 5520, 7212, 8032, 7639, 6208, 4252, 2416, 1106, 392, 100, 16, 1], 'ctr': 688, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + 4*x^6 + 8*x^5 + 20*t*x^4 + 8*t*x^2 + (8*t + 2)', 'f': 2, 'family': '2.2.8.56a', 'gal': 1108, 'galT': 1108, 'galois_degree': 1024, 'galois_label': '16T1108', 'gms': '4.0234375', 'gsm': [0], 'hidden': '[2,2,2,3,4]_{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': '2.16.56.27663', 'n': 16, 'new_label': '2.2.8.56a1.688', 'num': 27663, 'old_label': '2.16.56.27663', 'p': 2, 'packet': '2.2.8.56a1.1108b', '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, 1], 'slopes': '[2, 2, 2, 3, 3, 7/2, 4, 9/2]', 'slopes_tmp': ['2A', '2B', '2C', '3A', '3B', '7/2A', '4A', '9/2A'], 'subfamily': '2.2.8.56a1', 'subfield': ['2.2.0.1', '2.4.6.6', '2.8.20.16'], '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 - 2.2.8.56a1.688