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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'conductor': 24, 'degree': 8, 'dirichlet_group': [1, 5, 7, 11, 13, 17, 19, 23], 'disc_abs': 5308416, 'disc_rad': 6, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[2, 4]]], [7, [[2, 4]]], [11, [[2, 4]]], [13, [[2, 4]]], [17, [[2, 4]]], [19, [[2, 4]]], [23, [[2, 4]]], [29, [[2, 4]]], [31, [[2, 4]]], [37, [[2, 4]]], [41, [[2, 4]]], [43, [[2, 4]]], [47, [[2, 4]]], [53, [[2, 4]]], [59, [[2, 4]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 4], 'galois_label': '8T3', 'galt': 3, 'grd': 6.928203230275509, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.0.5308416.1', 'local_algs': ['2.8.16.6', '3.4.2.1', '3.4.2.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 4, 'ramps': [2, 3], 'rd': 6.92820323028, 'regulator': {'__RealLiteral__': 0, 'data': '10.6435943208', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'subfields': ['1.-1.1', '1.0.1', '-3.0.1', '2.0.1', '-6.0.1', '-2.0.1', '6.0.1', '1.0.-1.0.1', '4.0.-2.0.1', '4.0.2.0.1', '1.0.0.0.1', '9.0.0.0.1', '1.0.4.0.1', '1.0.-4.0.1'], 'torsion_gen': '\\( a \\)', 'torsion_order': 24, 'units': ['\\( a^{6} - a^{2} - 1 \\)', '\\( a - 1 \\)', '\\( a^{5} + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7']}
Number field data - 8.0.5308416.1