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nf_fields • Show schema
{'class_group': [3], 'class_number': 3, 'cm': True, 'coeffs': [64, -8, -7, -1, 1], 'conductor': 93, 'degree': 4, 'dirichlet_group': [32, 1, 92, 61], 'disc_abs': 8649, 'disc_rad': 93, 'disc_sign': 1, 'frobs': [[2, [[2, 2]]], [3, [0]], [5, [[2, 2]]], [7, [[1, 4]]], [11, [[2, 2]]], [13, [[2, 2]]], [17, [[2, 2]]], [19, [[1, 4]]], [23, [[2, 2]]], [29, [[2, 2]]], [31, [0]], [37, [[2, 2]]], [41, [[2, 2]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[2, 2]]], [59, [[2, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 2], 'galois_label': '4T2', 'galt': 2, 'grd': 9.643650760992955, 'index': 2, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.8649.1', 'local_algs': ['3.2.2.2a1.2', '31.1.2.1a1.1', '31.1.2.1a1.1'], 'maximal_cm_subfield': [64, -8, -7, -1, 1], 'monogenic': -1, 'narrow_class_group': [3], 'narrow_class_number': 3, 'num_ram': 2, 'r2': 2, 'ramps': [3, 31], 'rd': 9.64365076099, 'regulator': {'__RealLiteral__': 0, 'data': '3.36610464293', 'prec': 44}, 'relative_class_number': 3, 'res': {}, 'subfield_mults': [1, 1, 1], 'subfields': ['1.-1.1', '8.-1.1', '-23.-1.1'], 'torsion_gen': '\\( \\frac{1}{56} a^{3} + \\frac{1}{8} a^{2} - \\frac{1}{8} a - \\frac{1}{7} \\)', 'torsion_order': 6, 'units': ['\\( \\frac{1}{56} a^{3} + \\frac{1}{8} a^{2} - \\frac{9}{8} a + \\frac{13}{7} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/56*a^3 + 1/8*a^2 - 1/8*a - 1/7']}
Number field data - 4.0.8649.1