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lf_fields • Show schema
{'associated_inertia': [2, 1], 'aut': 1, 'c': 22, 'canonical_filtration': ['3.1.1.0a1.1', '3.1.4.3a1.1'], 'coeffs': [3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1], 'ctr': 10, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^9 + z^6 + 1', 'z + 1'], 'e': 12, 'eisen': 'x^12 + 3*x^11 + 9*x + 3', 'f': 1, 'family': '3.1.12.22a', 'gal': 212, 'galT': 212, 'galois_degree': 1296, 'galois_label': '12T212', 'gms': '2.307098765432099', 'gsm': [-720, -864, 1296, -288, -1647, -432, -48, -144, -54, 0, 0, 0, 1], 'hidden': '[15/8,15/8,19/8]^{2}_{2}', 'hw': '$1$', 'ind_of_insep': [11, 0], 'ind_of_insep_tmp': ['11A', '0A'], 'inertia': ['t', [12, 173]], 'inertia_gap': [648, 712], 'is_completion': True, 'jump_set': [2, 14], 'label': '3.12.22.147', 'n': 12, 'new_label': '3.1.12.22a1.10', 'num': 147, 'old_label': '3.12.22.147', 'p': 3, 'packet': '3.1.12.22a1.212b', 'packet_size': 36, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 11], [3, 0], [12, 0]], 'residual_polynomials': ['z^9 + z^6 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[15/8, 15/8, 19/8, 19/8]', 'slopes_tmp': ['15/8A', '15/8B', '19/8A', '19/8B'], 'subfamily': '3.1.12.22a1', 'subfield': ['3.2.1.2', '3.4.3.1'], 'subfield_mult': [1, 1], 't': 8, 'top_slope': '02.37500000019/8', 'u': 2, 'unram': 't + 1', 'visible': '[19/8]', 'visible_tmp': ['19/8A'], 'wild_gap': [81, 15]}
Local field data - 3.1.12.22a1.10