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nf_fields • Show schema
{'class_group': [4, 8], 'class_number': 32, 'cm': True, 'coeffs': [70, -40, 41, -2, 1], 'conductor': 1320, 'degree': 4, 'dirichlet_group': [1, 769, 989, 221], 'disc_abs': 1742400, 'disc_rad': 330, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[1, 4]]], [11, [0]], [13, [[2, 2]]], [17, [[2, 2]]], [19, [[2, 2]]], [23, [[2, 2]]], [29, [[2, 2]]], [31, [[1, 4]]], [37, [[2, 2]]], [41, [[2, 2]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[2, 2]]], [59, [[1, 4]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 2, 2, 2], 'galois_label': '4T2', 'galt': 2, 'grd': 36.3318042491699, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '4.0.1742400.2', 'local_algs': ['2.2.3.2', '2.2.3.2', '3.4.2.1', '5.2.1.1', '5.2.1.1', '11.2.1.2', '11.2.1.2'], 'monogenic': -1, 'num_ram': 4, 'r2': 2, 'ramps': [2, 3, 5, 11], 'rd': 36.3318042492, 'regulator': {'__RealLiteral__': 0, 'data': '5.38447402013', 'prec': 44}, 'relative_class_number': 8, 'res': {}, 'subfield_mults': [1, 1, 1], 'subfields': ['14.-1.1', '-330.0.1', '6.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{2}{31} a^{3} - \\frac{3}{31} a^{2} + \\frac{3}{31} a - \\frac{1}{31} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/31*a^3 + 14/31*a^2 - 14/31*a + 15/31']}
Number field data - 4.0.1742400.2