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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 6, 'c': 5, 'canonical_filtration': ['19.1.1.0a1.1', '19.1.6.5a1.3'], 'coeffs': [247, 0, 0, 0, 0, 0, 1], 'ctr': 5, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^5 + 6*z^4 + 15*z^3 + z^2 + 15*z + 6'], 'e': 6, 'eisen': 'x^6 + 247', 'f': 1, 'family': '19.1.6.5a', 'gal': 1, 'galT': 1, 'galois_degree': 6, 'galois_label': '6T1', 'gms': '0.8333333333333334', 'gsm': [64, -176, -20, 160, -55, -1, 1], 'hidden': '[]', 'hw': '$i$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [6, 1]], 'inertia_gap': [6, 2], 'is_completion': True, 'jump_set': [], 'label': '19.6.5.3', 'n': 6, 'new_label': '19.1.6.5a1.5', 'num': 3, 'old_label': '19.6.5.3', 'p': 19, 'packet': '19.1.6.5a1.1a', 'packet_size': 6, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [6, 0]], 'residual_polynomials': ['z^5 + 6*z^4 + 15*z^3 + z^2 + 15*z + 6'], 'rf': [19, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '19.1.6.5a1', 'subfield': ['19.2.1.1', '19.3.2.1'], 'subfield_mult': [1, 1], 't': 6, 'top_slope': '01.0000000001', 'u': 1, 'unram': 't + 17', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 19.1.6.5a1.5