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lf_fields • Show schema
{'associated_inertia': [2], 'aut': 6, 'c': 9, 'canonical_filtration': ['7.3.1.0a1.1', '7.3.4.9a1.1'], 'coeffs': [263, 0, 1536, 256, 3456, 1152, 3552, 1728, 1584, 880, 216, 24, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^3 + 4*z^2 + 6*z + 4'], 'e': 4, 'eisen': 'x^4 + 7', 'f': 3, 'family': '7.3.4.9a', 'gal': 14, 'galois_degree': 24, 'galois_label': '12T14', 'gms': '0.75', 'gsm': [8, 48, 108, 104, 264, 36, -81, -3, 45, -4, 15, 0, 1], 'hidden': '[]^{2}', 'hw': '$-i$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [], 'label': '7.12.9.1', 'n': 12, 'new_label': '7.3.4.9a1.2', 'num': 1, 'old_label': '7.12.9.1', 'p': 7, 'packet': '7.3.4.9a1.14a', 'packet_size': 2, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [4, 0]], 'residual_polynomials': ['z^3 + 4*z^2 + 6*z + 4'], 'rf': [7, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '7.3.4.9a1', 'subfield': ['7.2.1.2', '7.3.0.1', '7.4.3.1', '7.6.3.2'], 'subfield_mult': [1, 1, 1, 1], 't': 4, 'top_slope': '01.0000000001', 'u': 6, 'unram': 't^3 + 6*t^2 + 4', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 7.3.4.9a1.2