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lf_fields • Show schema
{'associated_inertia': [1, 1, 1], 'aut': 2, 'c': 28, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.1', '2.1.4.10a1.3'], 'coeffs': [2, 0, 0, 0, 24, 8, 4, 0, 1], 'ctr': 8, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + 4*x^6 + 8*x^5 + 24*x^4 + 2', 'f': 1, 'family': '2.1.8.28a', 'gal': 26, 'galT': 26, 'galois_degree': 64, 'galois_label': '8T26', 'gms': '3.6875', 'gsm': [-49, 0, -8, 0, 14, 0, 8, 0, 1], 'hidden': '[2,2]^{2}', 'hw': '$-i$', 'ind_of_insep': [21, 14, 8, 0], 'ind_of_insep_tmp': ['21A', '14A', '8A', '0A'], 'inertia': ['t', [8, 15]], 'inertia_gap': [32, 43], 'is_completion': True, 'jump_set': [1, 3, 7, 15], 'label': '2.8.28.83', 'n': 8, 'new_label': '2.1.8.28a1.8', 'num': 83, 'old_label': '2.8.28.83', 'p': 2, 'packet': '2.1.8.28a1.26a', 'packet_size': 32, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 21], [2, 14], [4, 8], [8, 0]], 'residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [-1, 0], 'slopes': '[2, 2, 3, 7/2, 9/2]', 'slopes_tmp': ['2A', '2B', '3A', '7/2A', '9/2A'], 'subfamily': '2.1.8.28a1', 'subfield': ['2.2.3.1', '2.4.10.3'], 'subfield_mult': [1, 1], 't': 1, 'top_slope': '04.5000000009/2', 'u': 2, 'unram': 't + 1', 'visible': '[3, 7/2, 9/2]', 'visible_tmp': ['3A', '7/2A', '9/2A'], 'wild_gap': [32, 43]}
Local field data - 2.1.8.28a1.8