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nf_fields • Show schema
{'class_group': [40], 'class_number': 40, 'cm': True, 'coeffs': [256, 0, 15, 0, 1], 'conductor': 799, 'degree': 4, 'dirichlet_group': [424, 1, 798, 375], 'disc_abs': 638401, 'disc_rad': 799, 'disc_sign': 1, 'frobs': [[2, [[1, 4]]], [3, [[2, 2]]], [5, [[2, 2]]], [7, [[2, 2]]], [11, [[2, 2]]], [13, [[2, 2]]], [17, [0]], [19, [[2, 2]]], [23, [[2, 2]]], [29, [[2, 2]]], [31, [[2, 2]]], [37, [[2, 2]]], [41, [[2, 2]]], [43, [[2, 2]]], [47, [0]], [53, [[1, 4]]], [59, [[1, 4]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 2], 'galois_label': '4T2', 'galt': 2, 'grd': 28.26658805020514, 'index': 4, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.638401.1', 'local_algs': ['17.2.1.1', '17.2.1.1', '47.2.1.2', '47.2.1.2'], 'monogenic': -1, 'num_ram': 2, 'r2': 2, 'ramps': [17, 47], 'rd': 28.2665880502, 'regulator': {'__RealLiteral__': 0, 'data': '4.18942509452', 'prec': 44}, 'relative_class_number': 40, 'res': {}, 'subfield_mults': [1, 1, 1], 'subfields': ['-4.-1.1', '12.-1.1', '200.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{16} a^{3} - \\frac{1}{16} a - 4 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2*a', '1/32*a^3 - 1/32*a - 1/2']}
Number field data - 4.0.638401.1