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lf_fields • Show schema
{'associated_inertia': [2], 'aut': 4, 'c': 11, 'canonical_filtration': ['5.1.1.0a1.1', '5.1.12.11a1.4'], 'coeffs': [15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 3, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^11 + 2*z^10 + z^9 + 2*z^6 + 4*z^5 + 2*z^4 + z + 2'], 'e': 12, 'eisen': 'x^12 + 15', 'f': 1, 'family': '5.1.12.11a', 'gal': 11, 'galT': 11, 'galois_degree': 24, 'galois_label': '12T11', 'gms': '0.9166666666666666', 'gsm': [40, 0, -360, 0, 305, 0, -80, 0, 20, 0, 0, 0, 1], 'hidden': '[]^{2}', 'hw': '$-1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [12, 1]], 'inertia_gap': [12, 2], 'is_completion': True, 'jump_set': [], 'label': '5.12.11.4', 'n': 12, 'new_label': '5.1.12.11a1.3', 'num': 4, 'old_label': '5.12.11.4', 'p': 5, 'packet': '5.1.12.11a1.11a', 'packet_size': 4, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [12, 0]], 'residual_polynomials': ['z^11 + 2*z^10 + z^9 + 2*z^6 + 4*z^5 + 2*z^4 + z + 2'], 'rf': [5, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '5.1.12.11a1', 'subfield': ['5.2.1.2', '5.3.2.1', '5.4.3.4', '5.6.5.2'], 'subfield_mult': [1, 1, 1, 1], 't': 12, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't + 3', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 5.1.12.11a1.3