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lf_fields • Show schema
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{'associated_inertia': [1, 1, 1], 'aut': 2, 'c': 56, 'canonical_filtration': None, 'coeffs': [27, 168, 516, 1272, 2430, 3792, 4856, 5184, 4639, 3488, 2200, 1152, 494, 168, 44, 8, 1], 'ctr': 396, 'ctr_family': 2, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + (8*t + 8)*x^7 + 8*x^5 + 4*t*x^4 + (16*t + 8)*x^2 + (24*t + 2)', 'f': 2, 'family': '2.2.8.56b', 'gal': 897, 'galT': 897, 'galois_degree': 512, 'galois_label': '16T897', 'gms': '3.921875', 'gsm': [-608752629, -350206440, -236257852, -63668000, 33456038, 2181480, -4425064, 911360, 380615, -104680, -20424, 5040, 1198, -80, -52, 0, 1], 'hidden': '[2,2,7/2,7/2]^{2}', 'hw': '$-1$', 'ind_of_insep': [21, 16, 8, 0], 'ind_of_insep_tmp': ['21A', '16A', '8A', '0A'], 'inertia': ['i', [128, 753]], 'inertia_gap': [128, 753], 'is_completion': False, 'jump_set': [1, 3, 7, 15], 'label': '2.16.56.26498', 'n': 16, 'new_label': '2.2.8.56b1.396', 'num': 26498, 'old_label': '2.16.56.26498', 'p': 2, 'packet': None, 'packet_size': None, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 21], [2, 16], [4, 8], [8, 0]], 'residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 2, 3, 7/2, 7/2, 4, 17/4]', 'slopes_tmp': ['2A', '2B', '3A', '7/2A', '7/2B', '4A', '17/4A'], 'subfamily': '2.2.8.56b1', 'subfield': ['2.2.0.1', '2.4.6.6', '2.8.22.49'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '04.25000000017/4', 'u': 4, 'unram': 't^2 + t + 1', 'visible': '[3, 4, 17/4]', 'visible_tmp': ['3A', '4A', '17/4A'], 'wild_gap': [128, 753]}