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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 16, 'c': 12, 'canonical_filtration': ['7.4.1.0a1.1', '7.4.4.12a1.1'], 'coeffs': [88, 432, 1404, 2928, 4594, 5312, 5016, 3696, 2539, 1344, 776, 240, 162, 16, 20, 0, 1], 'ctr': 3, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^3 + 4*z^2 + 6*z + 4'], 'e': 4, 'eisen': 'x^4 + 7', 'f': 4, 'family': '7.4.4.12a', 'gal': 8, 'galois_degree': 16, 'galois_label': '16T8', 'gms': '0.75', 'gsm': [0], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [], 'label': '7.16.12.1', 'n': 16, 'new_label': '7.4.4.12a1.3', 'num': 1, 'old_label': '7.16.12.1', 'p': 7, 'packet': '7.4.4.12a1.8a', 'packet_size': 1, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [4, 0]], 'residual_polynomials': ['z^3 + 4*z^2 + 6*z + 4'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '7.4.4.12a1', 'subfield': ['7.2.0.1', '7.2.1.1', '7.2.1.2', '7.4.0.1', '7.4.2.1', '7.4.2.2', '7.4.3.1', '7.4.3.2', '7.8.4.1', '7.8.6.1', '7.8.6.2'], 'subfield_mult': [1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1], 't': 4, 'top_slope': '01.0000000001', 'u': 4, 'unram': 't^4 + 5*t^2 + 4*t + 3', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 7.4.4.12a1.3