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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'conductor': 40, 'degree': 8, 'dirichlet_group': [1, 3, 33, 9, 11, 17, 19, 27], 'disc_abs': 64000000, 'disc_rad': 10, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 2]]], [5, [0]], [7, [[4, 2]]], [11, [[1, 8]]], [13, [[4, 2]]], [17, [[4, 2]]], [19, [[2, 4]]], [23, [[4, 2]]], [29, [[2, 4]]], [31, [[2, 4]]], [37, [[4, 2]]], [41, [[1, 8]]], [43, [[4, 2]]], [47, [[4, 2]]], [53, [[4, 2]]], [59, [[2, 4]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 6], 'galois_label': '8T2', 'galt': 2, 'grd': 9.457416090031758, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.0.64000000.1', 'local_algs': ['2.8.12.2', '5.8.6.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 4, 'ramps': [2, 5], 'rd': 9.45741609003, 'regulator': {'__RealLiteral__': 0, 'data': '18.013034165', 'prec': 40}, 'res': {}, 'subfield_mults': [1, 1, 1, 1, 1, 1], 'subfields': ['2.0.1', '-1.-1.1', '10.0.1', '4.0.6.0.1', '20.0.-10.0.1', '1.-1.1.-1.1'], 'torsion_gen': '\\( \\frac{1}{8} a^{6} \\)', 'torsion_order': 10, 'units': ['\\( \\frac{1}{4} a^{4} + 1 \\)', '\\( \\frac{1}{8} a^{6} - \\frac{1}{2} a^{4} + \\frac{1}{2} a^{2} - a - 1 \\)', '\\( \\frac{1}{2} a^{2} + a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2', '1/2*a^3', '1/4*a^4', '1/4*a^5', '1/8*a^6', '1/8*a^7']}
Number field data - 8.0.64000000.1