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lf_fields • Show schema
{'associated_inertia': [1, 1], 'aut': 9, 'c': 22, 'canonical_filtration': ['3.1.1.0a1.1', '3.1.1.0a1.1', '3.1.3.4a2.2'], 'coeffs': [57, 0, 0, 0, 0, 18, 6, 9, 18, 1], 'ctr': 8, 'ctr_family': 1, 'ctr_subfamily': 3, 'distinguished_residual_polynomials': ['z^6 + 2', '2*z^2 + 1'], 'e': 9, 'eisen': 'x^9 + 18*x^8 + 9*x^7 + 6*x^6 + 18*x^5 + 57', 'f': 1, 'family': '3.1.9.22a', 'gal': 1, 'galois_degree': 9, 'galois_label': '9T1', 'gms': '2.4444444444444446', 'gsm': [-5831, 21609, 0, -10290, 0, 1323, 0, -63, 0, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [14, 6, 0], 'ind_of_insep_tmp': ['14A', '6A', '0A'], 'inertia': ['t', [9, 1]], 'inertia_gap': [9, 1], 'is_completion': True, 'jump_set': [], 'label': '3.9.22.6', 'n': 9, 'new_label': '3.1.9.22a3.8', 'num': 6, 'old_label': '3.9.22.6', 'p': 3, 'packet': '3.1.9.22a3.1a', 'packet_size': 9, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 14], [3, 6], [9, 0]], 'residual_polynomials': ['z^6 + 2', '2*z^2 + 1'], 'rf': [1, 0], 'slopes': '[2, 3]', 'slopes_tmp': ['2A', '3A'], 'subfamily': '3.1.9.22a3', 'subfield': ['3.3.4.2'], 'subfield_mult': [1], 't': 1, 'top_slope': '03.0000000003', 'u': 1, 'unram': 't + 1', 'visible': '[2, 3]', 'visible_tmp': ['2A', '3A'], 'wild_gap': [9, 1]}
Local field data - 3.1.9.22a3.8