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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 12, 'c': 10, 'canonical_filtration': ['7.2.1.0a1.1', '7.2.6.10a1.4'], 'coeffs': [729, 8755, 45198, 131220, 234495, 266328, 192996, 88776, 26055, 4860, 558, 36, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^5 + 6*z^4 + z^3 + 6*z^2 + z + 6'], 'e': 6, 'eisen': 'x^6 + 7*t', 'f': 2, 'family': '7.2.6.10a', 'gal': 1, 'galT': 1, 'galois_degree': 12, 'galois_label': '12T1', 'gms': '0.8333333333333334', 'gsm': [-727, -534, 4629, 7175, -25, -5123, -2157, 688, 495, -14, -38, -1, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [6, 2]], 'inertia_gap': [6, 2], 'is_completion': True, 'jump_set': [], 'label': '7.12.10.4', 'n': 12, 'new_label': '7.2.6.10a1.1', 'num': 4, 'old_label': '7.12.10.4', 'p': 7, 'packet': '7.2.6.10a1.1a', 'packet_size': 3, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [6, 0]], 'residual_polynomials': ['z^5 + 6*z^4 + z^3 + 6*z^2 + z + 6'], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '7.2.6.10a1', 'subfield': ['7.2.0.1', '7.3.2.1', '7.4.2.2', '7.6.4.2'], 'subfield_mult': [1, 1, 1, 1], 't': 6, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't^2 + 6*t + 3', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 7.2.6.10a1.1