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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 8, 'c': 7, 'canonical_filtration': ['41.1.1.0a1.1', '41.1.8.7a1.1'], 'coeffs': [1025, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^7 + 8*z^6 + 28*z^5 + 15*z^4 + 29*z^3 + 15*z^2 + 28*z + 8'], 'e': 8, 'eisen': 'x^8 + 1025', 'f': 1, 'family': '41.1.8.7a', 'gal': 1, 'galT': 1, 'galois_degree': 8, 'galois_label': '8T1', 'gms': '0.875', 'gsm': [0], 'hidden': '[]', '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': '41.8.7.1', 'n': 8, 'new_label': '41.1.8.7a1.4', 'num': 1, 'old_label': '41.8.7.1', 'p': 41, 'packet': '41.1.8.7a1.1a', 'packet_size': 8, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [8, 0]], 'residual_polynomials': ['z^7 + 8*z^6 + 28*z^5 + 15*z^4 + 29*z^3 + 15*z^2 + 28*z + 8'], 'rf': [41, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '41.1.8.7a1', 'subfield': ['41.2.1.1', '41.4.3.1'], 'subfield_mult': [1, 1], 't': 8, 'top_slope': '01.0000000001', 'u': 1, 'unram': 't + 35', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 41.1.8.7a1.4