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lf_fields • Show schema
{'associated_inertia': [2, 2], 'aut': 2, 'c': 19, 'canonical_filtration': ['3.1.1.0a1.1', '3.1.4.3a1.2'], 'coeffs': [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 1], 'ctr': 9, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^9 + z^6 + 1', 'z^2 + 1'], 'e': 12, 'eisen': 'x^12 + 3*x^10 + 6*x^8 + 6', 'f': 1, 'family': '3.1.12.19a', 'gal': 38, 'galT': 38, 'galois_degree': 72, 'galois_label': '12T38', 'gms': '1.75', 'gsm': [-2, 0, 0, 28, 0, 0, 36, 0, 0, -2, 0, 0, 1], 'hidden': '[3/2]^{2}', 'hw': '$i$', 'ind_of_insep': [8, 0], 'ind_of_insep_tmp': ['8A', '0A'], 'inertia': ['t', [12, 19]], 'inertia_gap': [36, 6], 'is_completion': True, 'jump_set': [], 'label': '3.12.19.38', 'n': 12, 'new_label': '3.1.12.19a1.9', 'num': 38, 'old_label': '3.12.19.38', 'p': 3, 'packet': '3.1.12.19a1.38a', 'packet_size': 4, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 8], [3, 0], [12, 0]], 'residual_polynomials': ['z^9 + z^6 + 1', 'z^2 + 1'], 'rf': [3, 1], 'slopes': '[3/2, 2]', 'slopes_tmp': ['3/2A', '2A'], 'subfamily': '3.1.12.19a1', 'subfield': ['3.2.1.1', '3.4.3.2', '3.6.9.8'], 'subfield_mult': [1, 1, 1], 't': 4, 'top_slope': '02.0000000002', 'u': 2, 'unram': 't + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [9, 2]}
Local field data - 3.1.12.19a1.9