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lf_fields • Show schema
{'associated_inertia': [4, 1], 'aut': 1, 'c': 29, 'canonical_filtration': ['3.1.1.0a1.1', '3.1.5.4a1.1'], 'coeffs': [3, 0, 9, 0, 9, 9, 0, 18, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 42, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^12 + 2*z^9 + z^6 + z^3 + 2', '2*z + 1'], 'e': 15, 'eisen': 'x^15 + 18*x^7 + 9*x^5 + 9*x^4 + 9*x^2 + 3', 'f': 1, 'family': '3.1.15.29a', 'gal': 64, 'galT': 64, 'galois_degree': 9720, 'galois_label': '15T64', 'gms': '2.3617283950617285', 'gsm': [-176473500, 0, 0, 12965400, 0, 0, -411600, 0, 0, 2940, 0, 0, 0, 0, 0, 1], 'hidden': '[21/10,21/10,21/10,21/10]^{4}_{2}', 'hw': '$-i$', 'ind_of_insep': [15, 0], 'ind_of_insep_tmp': ['15A', '0A'], 'inertia': ['t', [15, 44]], 'inertia_gap': [0, 0], 'is_completion': False, 'jump_set': [], 'label': '3.15.29.143', 'n': 15, 'new_label': '3.1.15.29a1.42', 'num': 143, 'old_label': '3.15.29.143', 'p': 3, 'packet': '3.1.15.29a1.64c', 'packet_size': 54, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 15], [3, 0], [15, 0]], 'residual_polynomials': ['z^12 + 2*z^9 + z^6 + z^3 + 2', '2*z + 1'], 'rf': [3, 0], 'slopes': '[21/10, 21/10, 21/10, 21/10, 5/2]', 'slopes_tmp': ['21/10A', '21/10B', '21/10C', '21/10D', '5/2A'], 'subfamily': '3.1.15.29a1', 'subfield': ['3.5.4.1'], 'subfield_mult': [1], 't': 10, 'top_slope': '02.5000000005/2', 'u': 4, 'unram': 't + 1', 'visible': '[5/2]', 'visible_tmp': ['5/2A'], 'wild_gap': [243, 67]}
Local field data - 3.1.15.29a1.42