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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 16, 'degree': 8, 'dirichlet_group': [1, 3, 5, 7, 9, 11, 13, 15], 'disc_abs': 16777216, 'disc_rad': 2, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 2]]], [5, [[4, 2]]], [7, [[2, 4]]], [11, [[4, 2]]], [13, [[4, 2]]], [17, [[1, 8]]], [19, [[4, 2]]], [23, [[2, 4]]], [29, [[4, 2]]], [31, [[2, 4]]], [37, [[4, 2]]], [41, [[2, 4]]], [43, [[4, 2]]], [47, [[2, 4]]], [53, [[4, 2]]], [59, [[4, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_label': '8T2', 'galt': 2, 'index': 1, 'inessentialp': [], 'is_galois': True, 'iso_number': 1, 'label': '8.0.16777216.1', 'local_algs': ['2.8.24.10'], 'monogenic': 1, 'num_ram': 1, 'r2': 4, 'ramps': [2], 'rd': 8.0, 'regulator': {'__RealLiteral__': 0, 'data': '19.534360053', 'prec': 40}, 'res': {}, 'subfield_mults': [1, 1, 1, 1, 1, 1], 'subfields': ['1.0.1', '-2.0.1', '2.0.1', '1.0.0.0.1', '2.0.4.0.1', '2.0.-4.0.1'], 'torsion_gen': '\\( a \\)', 'torsion_order': 16, 'units': ['\\( a^{6} + a^{4} + a^{2} \\)', '\\( a^{7} + a^{4} - a^{2} \\)', '\\( a^{6} + a^{5} + a^{4} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7']}
Number field data - 8.0.16777216.1