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lf_fields • Show schema
{'associated_inertia': [2], 'aut': 2, 'c': 8, 'canonical_filtration': ['7.2.1.0a1.1', '7.2.5.8a1.1'], 'coeffs': [250, 2430, 10125, 22680, 29430, 22356, 9810, 2520, 375, 30, 1], 'ctr': 1, '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': 2, 'family': '7.2.5.8a', 'gal': 4, 'galT': 4, 'galois_degree': 20, 'galois_label': '10T4', 'gms': '0.8', 'gsm': [-5, 0, 6, 0, -11, 0, 6, 0, -1, 0, 1], 'hidden': '[]^{2}', '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': '7.10.8.1', 'n': 10, 'new_label': '7.2.5.8a1.1', 'num': 1, 'old_label': '7.10.8.1', 'p': 7, 'packet': '7.2.5.8a1.4a', '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': '7.2.5.8a1', 'subfield': ['7.2.0.1', '7.5.4.1'], 'subfield_mult': [1, 1], 't': 5, 'top_slope': '01.0000000001', 'u': 4, 'unram': 't^2 + 6*t + 3', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 7.2.5.8a1.1