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lf_fields • Show schema
{'associated_inertia': [2, 1, 1], 'aut': 2, 'c': 25, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.3.2a1.1', '2.1.6.6a1.1'], 'coeffs': [2, 8, 2, 0, 2, 0, 0, 0, 0, 4, 0, 4, 1], 'ctr': 74, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^8 + z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 12, 'eisen': 'x^12 + 4*x^11 + 4*x^9 + 2*x^4 + 2*x^2 + 8*x + 2', 'f': 1, 'family': '2.1.12.25a', 'gal': 137, 'galT': 137, 'galois_degree': 384, 'galois_label': '12T137', 'gms': '2.9479166666666665', 'gsm': [50, 0, 130, 0, 86, 0, 18, 0, 10, 0, -2, 0, 1], 'hidden': '[4/3,2,3,19/6]^{2}', 'hw': '$1$', 'ind_of_insep': [14, 2, 0], 'ind_of_insep_tmp': ['14A', '2A', '0A'], 'inertia': ['t', [12, 88]], 'inertia_gap': [192, 1000], 'is_completion': False, 'jump_set': [3, 7, 19], 'label': '2.12.25.62', 'n': 12, 'new_label': '2.1.12.25a1.74', 'num': 62, 'old_label': '2.12.25.62', 'p': 2, 'packet': '2.1.12.25a1.137a', 'packet_size': 16, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 14], [2, 2], [4, 0], [12, 0]], 'residual_polynomials': ['z^8 + z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [2, 0], 'slopes': '[4/3, 4/3, 2, 3, 19/6, 19/6]', 'slopes_tmp': ['4/3A', '4/3B', '2A', '3A', '19/6A', '19/6B'], 'subfamily': '2.1.12.25a1', 'subfield': ['2.3.2.1', '2.6.6.7'], 'subfield_mult': [1, 1], 't': 3, 'top_slope': '03.16666666619/6', 'u': 2, 'unram': 't + 1', 'visible': '[4/3, 19/6]', 'visible_tmp': ['4/3A', '19/6A'], 'wild_gap': [64, 202]}
Local field data - 2.1.12.25a1.74