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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 5, 'c': 4, 'canonical_filtration': ['61.1.1.0a1.1', '61.1.5.4a1.1'], 'coeffs': [61, 0, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 5*z^3 + 10*z^2 + 10*z + 5'], 'e': 5, 'eisen': 'x^5 + 61', 'f': 1, 'family': '61.1.5.4a', 'gal': 1, 'galois_degree': 5, 'galois_label': '5T1', 'gms': '0.8', 'gsm': [13, 41, 17, -24, -1, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [5, 1]], 'inertia_gap': [5, 1], 'is_completion': True, 'jump_set': [], 'label': '61.5.4.1', 'n': 5, 'new_label': '61.1.5.4a1.1', 'num': 1, 'old_label': '61.5.4.1', 'p': 61, 'packet': '61.1.5.4a1.1a', 'packet_size': 5, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [5, 0]], 'residual_polynomials': ['z^4 + 5*z^3 + 10*z^2 + 10*z + 5'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '61.1.5.4a1', 'subfield': [], 'subfield_mult': [], 't': 5, 'top_slope': '01.0000000001', 'u': 1, 'unram': 't + 59', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 61.1.5.4a1.1