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lf_fields • Show schema
{'associated_inertia': [2], 'aut': 4, 'c': 7, 'canonical_filtration': ['53.1.1.0a1.1', '53.1.8.7a1.2'], 'coeffs': [53, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^7 + 8*z^6 + 28*z^5 + 3*z^4 + 17*z^3 + 3*z^2 + 28*z + 8'], 'e': 8, 'eisen': 'x^8 + 53', 'f': 1, 'family': '53.1.8.7a', 'gal': 7, 'galT': 7, 'galois_degree': 16, 'galois_label': '8T7', 'gms': '0.875', 'gsm': [0], 'hidden': '[]^{2}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [8, 1]], 'inertia_gap': [8, 1], 'is_completion': True, 'jump_set': [], 'label': '53.8.7.2', 'n': 8, 'new_label': '53.1.8.7a1.1', 'num': 2, 'old_label': '53.8.7.2', 'p': 53, 'packet': '53.1.8.7a1.7a', 'packet_size': 4, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [8, 0]], 'residual_polynomials': ['z^7 + 8*z^6 + 28*z^5 + 3*z^4 + 17*z^3 + 3*z^2 + 28*z + 8'], 'rf': [53, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '53.1.8.7a1', 'subfield': ['53.2.1.1', '53.4.3.2'], 'subfield_mult': [1, 1], 't': 8, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't + 51', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 53.1.8.7a1.1