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lf_fields • Show schema
{'associated_inertia': [1, 1, 1, 1], 'aut': 4, 'c': 66, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.1', '2.1.4.11a1.3', '2.1.8.28b1.18'], 'coeffs': [18, 0, 0, 16, 8, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, 1], 'ctr': 821, '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^10 + 4*x^8 + 8*x^4 + 16*x^3 + 18', 'f': 1, 'family': '2.1.16.66j', 'gal': 259, 'galT': 259, 'galois_degree': 128, 'galois_label': '16T259', 'gms': '4.28125', 'gsm': [-2497679, 9967328, -12226592, 8384768, -4113916, 829088, -221552, -71840, -14546, -9408, -4160, -672, -428, -64, 16, 0, 1], 'hidden': '[2,7/2]^{2}', 'hw': '$1$', 'ind_of_insep': [51, 42, 32, 16, 0], 'ind_of_insep_tmp': ['51A', '42A', '32A', '16A', '0A'], 'inertia': ['t', [16, 159]], 'inertia_gap': [64, 32], 'is_completion': True, 'jump_set': [1, 3, 7, 15, 31], 'label': '2.16.66.264', 'n': 16, 'new_label': '2.1.16.66j1.821', 'num': 264, 'old_label': '2.16.66.264', 'p': 2, 'packet': '2.1.16.66j1.259a', 'packet_size': 64, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 51], [2, 42], [4, 32], [8, 16], [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': '2.1.16.66j1', 'subfield': ['2.2.3.1', '2.4.11.3', '2.8.30.28', '2.8.28.18', '2.8.30.4'], 'subfield_mult': [1, 1, 1, 1, 1], 't': 1, 'top_slope': '04.75000000019/4', 'u': 2, 'unram': 't + 1', 'visible': '[3, 4, 17/4, 19/4]', 'visible_tmp': ['3A', '4A', '17/4A', '19/4A'], 'wild_gap': [64, 32]}
Local field data - 2.1.16.66j1.821