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lf_fields • Show schema
{'associated_inertia': [1, 1, 1], 'aut': 4, 'c': 52, 'canonical_filtration': None, 'coeffs': [35, 112, 288, 632, 1258, 2160, 3204, 4048, 4331, 3896, 2916, 1792, 882, 336, 92, 16, 1], 'ctr': 390, 'ctr_family': 3, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + 8*x^7 + 4*x^6 + 8*t*x^5 + 12*t*x^4 + 8*x^3 + (8*t + 2)', 'f': 2, 'family': '2.2.8.52c', 'gal': 912, 'galT': 912, 'galois_degree': 512, 'galois_label': '16T912', 'gms': '3.578125', 'gsm': [52441, 0, -106184, 0, 101512, 0, -57872, 0, 18630, 0, -2968, 0, 232, 0, -16, 0, 1], 'hidden': '[2,2,3,3]^{2}', 'hw': '$1$', 'ind_of_insep': [19, 14, 8, 0], 'ind_of_insep_tmp': ['19A', '14A', '8A', '0A'], 'inertia': ['i', [128, 170]], 'inertia_gap': [128, 170], 'is_completion': False, 'jump_set': [1, 3, 7, 15], 'label': '2.16.52.17148', 'n': 16, 'new_label': '2.2.8.52c1.390', 'num': 17148, 'old_label': '2.16.52.17148', 'p': 2, 'packet': '2.2.8.52c1.912a', 'packet_size': 64, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 19], [2, 14], [4, 8], [8, 0]], 'residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 2, 3, 3, 3, 7/2, 4]', 'slopes_tmp': ['2A', '2B', '3A', '3B', '3C', '7/2A', '4A'], 'subfamily': '2.2.8.52c1', 'subfield': ['2.2.0.1', '2.4.6.6', '2.8.20.20', '2.8.22.25', '2.8.22.49'], 'subfield_mult': [1, 1, 1, 1, 1], 't': 1, 'top_slope': '04.0000000004', 'u': 4, 'unram': 't^2 + t + 1', 'visible': '[3, 7/2, 4]', 'visible_tmp': ['3A', '7/2A', '4A'], 'wild_gap': [128, 170]}
Local field data - 2.2.8.52c1.390