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lf_fields • Show schema
{'associated_inertia': [1, 1], 'aut': 2, 'c': 12, 'canonical_filtration': ['2.2.1.0a1.1', '2.2.3.4a1.2'], 'coeffs': [1, 12, 27, 58, 94, 128, 141, 126, 90, 50, 21, 6, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'e': 6, 'eisen': 'x^6 + 2*x^2 + 2*t*x + 2*t', 'f': 2, 'family': '2.2.6.12a', 'gal': 159, 'galois_degree': 576, 'galois_label': '12T159', 'gms': '1.2916666666666667', 'gsm': [-2459, 6648, -5706, 1894, -57, -306, 80, -234, -9, -22, 6, 0, 1], 'hidden': '[4/3,4/3,4/3]^{6}', 'hw': '$1$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['i', [48, 50]], 'inertia_gap': [48, 50], 'is_completion': True, 'jump_set': [3, 7], 'label': '2.12.12.29', 'n': 12, 'new_label': '2.2.6.12a1.1', 'num': 29, 'old_label': '2.12.12.29', 'p': 2, 'packet': '2.2.6.12a1.159a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0], [6, 0]], 'residual_polynomials': ['z^4 + z^2 + 1', 'z + 1'], 'rf': [1, 1], 'slopes': '[4/3, 4/3, 4/3, 4/3]', 'slopes_tmp': ['4/3A', '4/3B', '4/3C', '4/3D'], 'subfamily': '2.2.6.12a1', 'subfield': ['2.2.0.1', '2.6.4.2'], 'subfield_mult': [1, 1], 't': 3, 'top_slope': '01.3333333334/3', 'u': 12, 'unram': 't^2 + t + 1', 'visible': '[4/3]', 'visible_tmp': ['4/3A'], 'wild_gap': [16, 14]}
Local field data - 2.2.6.12a1.1