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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [9, 0, 7, 0, 1], 'conductor': 52, 'degree': 4, 'dirichlet_group': [1, 27, 51, 25], 'disc_abs': 2704, 'disc_rad': 26, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 2]]], [5, [[2, 2]]], [7, [[2, 2]]], [11, [[2, 2]]], [13, [0]], [17, [[1, 4]]], [19, [[2, 2]]], [23, [[2, 2]]], [29, [[1, 4]]], [31, [[2, 2]]], [37, [[2, 2]]], [41, [[2, 2]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[1, 4]]], [59, [[2, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 2], 'galois_label': '4T2', 'galt': 2, 'grd': 7.211102550927978, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.2704.1', 'local_algs': ['2.4.4.1', '13.2.1.1', '13.2.1.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 13], 'rd': 7.21110255093, 'regulator': {'__RealLiteral__': 0, 'data': '2.38952643457', 'prec': 44}, 'relative_class_number': 1, 'res': {}, 'subfield_mults': [1, 1, 1], 'subfields': ['1.0.1', '13.0.1', '-3.-1.1'], 'torsion_gen': '\\( -\\frac{1}{3} a^{3} - \\frac{4}{3} a \\)', 'torsion_order': 4, 'units': ['\\( \\frac{1}{3} a^{3} + \\frac{1}{3} a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/3*a^3 + 1/3*a']}
Number field data - 4.0.2704.1