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lf_fields • Show schema
{'associated_inertia': [1, 1], 'aut': 3, 'c': 22, 'canonical_filtration': ['3.2.1.0a1.1', '3.2.2.2a1.1'], 'coeffs': [157, 564, 1323, 2321, 3138, 3264, 2624, 1632, 780, 280, 72, 12, 1], 'ctr': 68, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^3 + 2', '2*z^2 + 1'], 'e': 6, 'eisen': 'x^6 + 9*t*x^2 + (9*t + 9)*x + 3', 'f': 2, 'family': '3.2.6.22a', 'gal': 71, 'galT': 71, 'galois_degree': 108, 'galois_label': '12T71', 'gms': '2.240740740740741', 'gsm': [36, 0, 0, 18, 0, 0, 9, 0, 0, -3, 0, 0, 1], 'hidden': '[3/2,2]', 'hw': '$1$', 'ind_of_insep': [6, 0], 'ind_of_insep_tmp': ['6A', '0A'], 'inertia': ['i', [54, 13]], 'inertia_gap': [54, 13], 'is_completion': True, 'jump_set': [1, 7], 'label': '3.12.22.17', 'n': 12, 'new_label': '3.2.6.22a1.68', 'num': 17, 'old_label': '3.12.22.17', 'p': 3, 'packet': '3.2.6.22a1.71a', 'packet_size': 3, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 6], [3, 0], [6, 0]], 'residual_polynomials': ['z^3 + 2', '2*z^2 + 2'], 'rf': [1, 0], 'slopes': '[3/2, 2, 5/2]', 'slopes_tmp': ['3/2A', '2A', '5/2A'], 'subfamily': '3.2.6.22a1', 'subfield': ['3.2.0.1', '3.2.1.1', '3.2.1.2', '3.4.2.1'], 'subfield_mult': [1, 1, 1, 1], 't': 2, 'top_slope': '02.5000000005/2', 'u': 2, 'unram': 't^2 + 2*t + 2', 'visible': '[5/2]', 'visible_tmp': ['5/2A'], 'wild_gap': [27, 5]}
Local field data - 3.2.6.22a1.68