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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 9, 'c': 8, 'canonical_filtration': ['19.1.1.0a1.1', '19.1.9.8a1.5'], 'coeffs': [38, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^8 + 9*z^7 + 17*z^6 + 8*z^5 + 12*z^4 + 12*z^3 + 8*z^2 + 17*z + 9'], 'e': 9, 'eisen': 'x^9 + 38', 'f': 1, 'family': '19.1.9.8a', 'gal': 1, 'galT': 1, 'galois_degree': 9, 'galois_label': '9T1', 'gms': '0.8888888888888888', 'gsm': [0], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [9, 1]], 'inertia_gap': [9, 1], 'is_completion': True, 'jump_set': [], 'label': '19.9.8.5', 'n': 9, 'new_label': '19.1.9.8a1.2', 'num': 5, 'old_label': '19.9.8.5', 'p': 19, 'packet': '19.1.9.8a1.1a', 'packet_size': 9, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [9, 0]], 'residual_polynomials': ['z^8 + 9*z^7 + 17*z^6 + 8*z^5 + 12*z^4 + 12*z^3 + 8*z^2 + 17*z + 9'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '19.1.9.8a1', 'subfield': ['19.3.2.3'], 'subfield_mult': [1], 't': 9, 'top_slope': '01.0000000001', 'u': 1, 'unram': 't + 17', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 19.1.9.8a1.2