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lf_fields • Show schema
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{'associated_inertia': [1, 1, 1, 1], 'aut': 2, 'c': 64, 'canonical_filtration': None, 'coeffs': [2, 16, 0, 16, 0, 0, 8, 16, 10, 0, 8, 0, 0, 0, 8, 0, 1], 'ctr': 421, 'ctr_family': 10, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^8 + 1', 'z^4 + 1', 'z^2 + 1', 'z + 1'], 'e': 16, 'eisen': 'x^16 + 8*x^14 + 8*x^10 + 10*x^8 + 16*x^7 + 8*x^6 + 16*x^3 + 16*x + 2', 'f': 1, 'family': '2.1.16.64j', 'gal': 297, 'galT': 297, 'galois_degree': 128, 'galois_label': '16T297', 'gms': '4.28125', 'gsm': [3240000, 0, -4608000, 0, 2490560, 0, -571264, 0, 79648, 0, -7104, 0, 632, 0, -16, 0, 1], 'hidden': '[3,4]^{2}', 'hw': '$1$', 'ind_of_insep': [49, 38, 24, 8, 0], 'ind_of_insep_tmp': ['49A', '38A', '24A', '8A', '0A'], 'inertia': ['t', [16, 143]], 'inertia_gap': [64, 34], 'is_completion': False, 'jump_set': [1, 5, 13, 29, 45], 'label': '2.16.64.20590', 'n': 16, 'new_label': '2.1.16.64j1.421', 'num': 20590, 'old_label': '2.16.64.20590', 'p': 2, 'packet': None, 'packet_size': None, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 49], [2, 38], [4, 24], [8, 8], [16, 0]], 'residual_polynomials': ['z^8 + 1', 'z^4 + 1', 'z^2 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[2, 3, 7/2, 4, 17/4, 19/4]', 'slopes_tmp': ['2A', '3A', '7/2A', '4A', '17/4A', '19/4A'], 'subfamily': '2.1.16.64j1', 'subfield': ['2.2.2.1', '2.4.9.4', '2.8.26.73'], 'subfield_mult': [1, 1, 1], 't': 1, 'top_slope': '04.75000000019/4', 'u': 2, 'unram': 't + 1', 'visible': '[2, 7/2, 17/4, 19/4]', 'visible_tmp': ['2A', '7/2A', '17/4A', '19/4A'], 'wild_gap': [64, 34]}