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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 21, 'c': 18, 'canonical_filtration': ['2.3.1.0a1.1', '2.3.7.18a1.1'], 'coeffs': [3, 7, 21, 42, 77, 126, 168, 211, 252, 252, 245, 231, 175, 140, 105, 56, 42, 21, 7, 7, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^6 + z^5 + z^4 + z^3 + z^2 + z + 1'], 'e': 7, 'eisen': 'x^7 + 2', 'f': 3, 'family': '2.3.7.18a', 'gal': 2, 'galT': 2, 'galois_degree': 21, 'galois_label': '21T2', 'gms': '0.8571428571428571', 'gsm': [0], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [7, 1]], 'inertia_gap': [7, 1], 'is_completion': True, 'jump_set': [7], 'label': '2.21.18.1', 'n': 21, 'new_label': '2.3.7.18a1.2', 'num': 1, 'old_label': '2.21.18.1', 'p': 2, 'packet': '2.3.7.18a1.2a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 0], [7, 0]], 'residual_polynomials': ['z^6 + z^5 + z^4 + z^3 + z^2 + z + 1'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '2.3.7.18a1', 'subfield': ['2.3.0.1', '2.7.6.1'], 'subfield_mult': [1, 7], 't': 7, 'top_slope': '01.0000000001', 'u': 3, 'unram': 't^3 + t + 1', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 2.3.7.18a1.2