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lf_fields • Show schema
{'associated_inertia': [2, 1], 'aut': 3, 'c': 21, 'canonical_filtration': ['3.1.1.0a1.1', '3.1.4.3a1.1'], 'coeffs': [3, 0, 9, 9, 0, 0, 0, 0, 0, 0, 3, 3, 1], 'ctr': 19, 'ctr_family': 1, 'ctr_subfamily': 2, 'distinguished_residual_polynomials': ['z^9 + z^6 + 1', 'z^2 + 2'], 'e': 12, 'eisen': 'x^12 + 3*x^11 + 3*x^10 + 9*x^3 + 9*x^2 + 3', 'f': 1, 'family': '3.1.12.21a', 'gal': 167, 'galT': 167, 'galois_degree': 648, 'galois_label': '12T167', 'gms': '2.1944444444444446', 'gsm': [49, 0, 0, 35, 0, 0, 9, 0, 0, -1, 0, 0, 1], 'hidden': '[3/2,2,9/4]^{2}', 'hw': '$i$', 'ind_of_insep': [10, 0], 'ind_of_insep_tmp': ['10A', '0A'], 'inertia': ['t', [12, 131]], 'inertia_gap': [324, 162], 'is_completion': False, 'jump_set': [2, 14], 'label': '3.12.21.106', 'n': 12, 'new_label': '3.1.12.21a2.19', 'num': 106, 'old_label': '3.12.21.106', 'p': 3, 'packet': '3.1.12.21a2.167a', 'packet_size': 36, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 10], [3, 0], [12, 0]], 'residual_polynomials': ['z^9 + z^6 + 1', 'z^2 + 2'], 'rf': [3, 0], 'slopes': '[3/2, 2, 9/4, 9/4]', 'slopes_tmp': ['3/2A', '2A', '9/4A', '9/4B'], 'subfamily': '3.1.12.21a2', 'subfield': ['3.2.1.2', '3.4.3.1'], 'subfield_mult': [1, 1], 't': 4, 'top_slope': '02.2500000009/4', 'u': 2, 'unram': 't + 1', 'visible': '[9/4]', 'visible_tmp': ['9/4A'], 'wild_gap': [81, 15]}
Local field data - 3.1.12.21a2.19