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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 8, 'c': 14, 'canonical_filtration': ['199.2.1.0a1.1', '199.2.8.14a1.3'], 'coeffs': [45565, 3377922, 760344084, 97836566688, 7868577639258, 405054254191608, 13034490894922896, 239798527725540264, 1933810864999104163, 79932842575180088, 1448276766102544, 15002009414504, 97142933818, 402619616, 1042996, 1544, 1], 'ctr': 5, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^7 + 8*z^6 + 28*z^5 + 56*z^4 + 70*z^3 + 56*z^2 + 28*z + 8'], 'e': 8, 'eisen': 'x^8 + (34228*t + 8358)', 'f': 2, 'family': '199.2.8.14a', 'gal': 49, 'galT': 49, 'galois_degree': 32, 'galois_label': '16T49', 'gms': '0.875', 'gsm': [0], 'hidden': '[]^{2}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [8, 1]], 'inertia_gap': [8, 1], 'is_completion': False, 'jump_set': [], 'label': '199.16.14.3', 'n': 16, 'new_label': '199.2.8.14a1.5', 'num': 3, 'old_label': '199.16.14.3', 'p': 199, 'packet': '199.2.8.14a1.49a', 'packet_size': 1, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [8, 0]], 'residual_polynomials': ['z^7 + 8*z^6 + 28*z^5 + 56*z^4 + 70*z^3 + 56*z^2 + 28*z + 8'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '199.2.8.14a1', 'subfield': ['199.2.0.1', '199.2.1.1', '199.2.1.2', '199.4.2.1', '199.8.6.2'], 'subfield_mult': [1, 1, 1, 1, 1], 't': 8, 'top_slope': '01.0000000001', 'u': 4, 'unram': 't^2 + 193*t + 3', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 199.2.8.14a1.5