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nf_fields • Show schema
{'class_group': [2], 'class_number': 2, 'cm': True, 'coeffs': [25, 0, 0, 0, 1], 'conductor': 40, 'degree': 4, 'dirichlet_group': [1, 19, 29, 31], 'disc_abs': 6400, 'disc_rad': 10, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 2]]], [5, [0]], [7, [[2, 2]]], [11, [[2, 2]]], [13, [[1, 4]]], [17, [[2, 2]]], [19, [[2, 2]]], [23, [[2, 2]]], [29, [[2, 2]]], [31, [[2, 2]]], [37, [[1, 4]]], [41, [[1, 4]]], [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': [8, 2], 'galois_label': '4T2', 'galt': 2, 'grd': 8.94427190999916, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 3, 'label': '4.0.6400.3', 'local_algs': ['2.4.8.1', '5.2.1.2', '5.2.1.2'], 'monogenic': -1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 5], 'rd': 8.94427191, 'regulator': {'__RealLiteral__': 0, 'data': '3.63689291846', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1, 1], 'subfields': ['1.0.1', '-10.0.1', '10.0.1'], 'torsion_gen': '\\( \\frac{1}{5} a^{2} \\)', 'torsion_order': 4, 'units': ['\\( \\frac{1}{5} a^{3} - \\frac{3}{5} a^{2} + a \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/5*a^2', '1/5*a^3']}
Number field data - 4.0.6400.3