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lf_fields • Show schema
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{'associated_inertia': [1, 1, 1], 'aut': 4, 'c': 56, 'canonical_filtration': None, 'coeffs': [27, 144, 504, 1232, 2350, 3608, 4604, 4920, 4447, 3384, 2164, 1144, 494, 168, 44, 8, 1], 'ctr': 715, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + 8*x^7 + 4*x^6 + 8*x^5 + 4*x^4 + 2', 'f': 2, 'family': '2.2.8.56a', 'gal': 48, 'galT': 48, 'galois_degree': 32, 'galois_label': '16T48', 'gms': '3.625', 'gsm': [-33425227888, 40003090176, -7387555520, 3549657216, -915703936, -175211008, 13029408, -17012352, 2684360, -615104, 78288, -24864, 1344, -448, 40, 0, 1], 'hidden': '[2]', 'hw': '$-1$', 'ind_of_insep': [21, 14, 8, 0], 'ind_of_insep_tmp': ['21A', '14A', '8A', '0A'], 'inertia': ['i', [16, 8]], 'inertia_gap': [16, 8], 'is_completion': False, 'jump_set': [1, 3, 7, 15], 'label': '2.16.56.18150', 'n': 16, 'new_label': '2.2.8.56a1.715', 'num': 18150, 'old_label': '2.16.56.18150', 'p': 2, 'packet': '2.2.8.56a1.48a', 'packet_size': 4, '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, 3, 7/2, 9/2]', 'slopes_tmp': ['2A', '3A', '7/2A', '9/2A'], 'subfamily': '2.2.8.56a1', 'subfield': ['2.2.0.1', '2.2.3.3', '2.2.3.4', '2.4.6.2', '2.4.10.7', '2.4.10.8', '2.8.20.8', '2.8.28.98', '2.8.28.100'], 'subfield_mult': [1, 1, 1, 1, 1, 1, 1, 1, 1], 't': 1, 'top_slope': '04.5000000009/2', 'u': 2, 'unram': 't^2 + t + 1', 'visible': '[3, 7/2, 9/2]', 'visible_tmp': ['3A', '7/2A', '9/2A'], 'wild_gap': [16, 8]}