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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 20, 'c': 16, 'canonical_filtration': ['7.4.1.0a1.1', '7.4.5.16a1.1'], 'coeffs': [250, 1620, 6345, 16560, 32595, 49384, 60670, 60640, 52075, 37980, 25415, 14240, 7865, 3240, 1710, 400, 265, 20, 25, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 5*z^3 + 3*z^2 + 3*z + 5'], 'e': 5, 'eisen': 'x^5 + 7', 'f': 4, 'family': '7.4.5.16a', 'gal': 5, 'galT': 5, 'galois_degree': 20, 'galois_label': '20T5', 'gms': '0.8', 'gsm': [0], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [5, 1]], 'inertia_gap': [5, 1], 'is_completion': True, 'jump_set': [], 'label': '7.20.16.1', 'n': 20, 'new_label': '7.4.5.16a1.2', 'num': 1, 'old_label': '7.20.16.1', 'p': 7, 'packet': '7.4.5.16a1.5a', 'packet_size': 1, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [5, 0]], 'residual_polynomials': ['z^4 + 5*z^3 + 3*z^2 + 3*z + 5'], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '7.4.5.16a1', 'subfield': ['7.2.0.1', '7.4.0.1', '7.5.4.1', '7.10.8.1'], 'subfield_mult': [1, 1, 5, 5], 't': 5, '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 - 7.4.5.16a1.2