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lf_fields • Show schema
{'associated_inertia': [4, 1], 'aut': 2, 'c': 42, 'canonical_filtration': None, 'coeffs': [6, 8, 0, 0, 0, 8, 0, 0, 2, 0, 0, 4, 2, 0, 2, 0, 1], 'ctr': 89, 'ctr_family': 2, 'ctr_subfamily': 4, 'distinguished_residual_polynomials': ['z^14 + z^6 + z^2 + 1', 'z + 1'], 'e': 16, 'eisen': 'x^16 + 2*x^14 + 2*x^12 + 4*x^11 + 2*x^8 + 8*x^5 + 8*x + 6', 'f': 1, 'family': '2.1.16.42b', 'gal': 1255, 'galT': 1255, 'galois_degree': 1024, 'galois_label': '16T1255', 'gms': '3.0859375', 'gsm': [0], 'hidden': '[2,3,5/2,5/2]_{4}', 'hw': '$-1$', 'ind_of_insep': [27, 14, 12, 8, 0], 'ind_of_insep_tmp': ['27A', '14A', '12A', '8A', '0A'], 'inertia': None, 'inertia_gap': None, 'is_completion': False, 'jump_set': [1, 2, 7, 14, 32], 'label': '2.16.42.1830', 'n': 16, 'new_label': '2.1.16.42b4.89', 'num': 1830, 'old_label': '2.16.42.1830', 'p': 2, 'packet': '2.1.16.42b4.1255a', 'packet_size': 16, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 27], [2, 14], [16, 0]], 'residual_polynomials': ['z^14 + z^6 + z^2 + 1', 'z + 1'], 'rf': [1, 1], 'slopes': '[2, 2, 2, 2, 5/2, 5/2, 3, 7/2]', 'slopes_tmp': ['2A', '2B', '2C', '2D', '5/2A', '5/2B', '3A', '7/2A'], 'subfamily': '2.1.16.42b4', 'subfield': ['2.2.2.2', '2.4.6.9', '2.8.14.4'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '03.5000000007/2', 'u': 4, 'unram': 't + 1', 'visible': '[2, 2, 2, 7/2]', 'visible_tmp': ['2A', '2B', '2C', '7/2A'], 'wild_gap': None}
Local field data - 2.1.16.42b4.89