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lf_fields • Show schema
{'associated_inertia': [2, 1, 1], 'aut': 2, 'c': 42, 'canonical_filtration': None, 'coeffs': [2, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 2, 4, 0, 4, 1], 'ctr': 19, 'ctr_family': 11, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^12 + 1', 'z^2 + 1', 'z + 1'], 'e': 16, 'eisen': 'x^16 + 4*x^15 + 4*x^13 + 2*x^12 + 4*x^11 + 4*x^8 + 4*x^2 + 2', 'f': 1, 'family': '2.1.16.42k', 'gal': 697, 'galT': 697, 'galois_degree': 256, 'galois_label': '16T697', 'gms': '3.0', 'gsm': [0], 'hidden': '[3,3]^{4}', 'hw': '$-1$', 'ind_of_insep': [27, 18, 12, 12, 0], 'ind_of_insep_tmp': ['27A', '18A', '12A', '12B', '0A'], 'inertia': None, 'inertia_gap': None, 'is_completion': False, 'jump_set': [1, 3, 9, 25, 41], 'label': '2.16.42.517', 'n': 16, 'new_label': '2.1.16.42k1.19', 'num': 517, 'old_label': '2.16.42.517', 'p': 2, 'packet': '2.1.16.42k1.697a', 'packet_size': 8, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 27], [2, 18], [4, 12], [16, 0]], 'residual_polynomials': ['z^12 + 1', 'z^2 + 1', 'z + 1'], 'rf': [1, 1], 'slopes': '[2, 2, 5/2, 3, 3, 13/4]', 'slopes_tmp': ['2A', '2B', '5/2A', '3A', '3B', '13/4A'], 'subfamily': '2.1.16.42k1', 'subfield': ['2.2.2.1', '2.4.6.8', '2.8.16.69'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '03.25000000013/4', 'u': 4, 'unram': 't + 1', 'visible': '[2, 2, 5/2, 13/4]', 'visible_tmp': ['2A', '2B', '5/2A', '13/4A'], 'wild_gap': None}
Local field data - 2.1.16.42k1.19