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lf_fields • Show schema
{'associated_inertia': [1, 1], 'aut': 2, 'c': 40, 'canonical_filtration': None, 'coeffs': [9, 12, 38, 36, 34, 60, 44, 68, 63, 40, 66, 28, 38, 32, 8, 20, 6, 4, 4, 0, 1], 'ctr': 60, 'ctr_family': 2, 'ctr_subfamily': 192, 'distinguished_residual_polynomials': ['z^2 + t^4 + t^3 + t^2 + t + 1', '(t^4 + t^3 + t^2 + t + 1)*z + t^4 + t^3 + t^2 + t'], 'e': 4, 'eisen': 'x^4 + (4*t^2 + 4)*x^3 + (2*t^3 + 2)*x^2 + 4*t^3*x + (8*t + 2)', 'f': 5, 'family': '2.5.4.40b', 'gal': 256, 'galT': 256, 'galois_degree': 2560, 'galois_label': '20T256', 'gms': None, 'gsm': [0], 'hidden': None, 'hw': '$i$', 'ind_of_insep': [5, 2, 0], 'ind_of_insep_tmp': ['5A', '2A', '0A'], 'inertia': None, 'inertia_gap': None, 'is_completion': True, 'jump_set': [1, 3, 7], 'label': '2.20.40.12397', 'n': 20, 'new_label': '2.5.4.40b192.60', 'num': 12397, 'old_label': '2.20.40.12397', 'p': 2, 'packet': None, 'packet_size': None, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 5], [2, 2], [4, 0]], 'residual_polynomials': ['z^2 + (t^3 + t^2 + t + 1)', '(t^3 + t^2 + t + 1)*z + (t^4 + t^3 + t^2)'], 'rf': [-1, 0], 'slopes': None, 'slopes_tmp': None, 'subfamily': '2.5.4.40b192', 'subfield': ['2.5.0.1', '2.10.10.2'], 'subfield_mult': [1, 1], 't': None, 'top_slope': '03.0000000003', 'u': None, 'unram': 't^5 + t^2 + 1', 'visible': '[2, 3]', 'visible_tmp': ['2A', '3A'], 'wild_gap': None}
Local field data - 2.5.4.40b192.60