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nf_fields • Show schema
{'class_group': [4], 'class_number': 4, 'cm': True, 'coeffs': [27, 12, 12, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 52221, 'disc_rad': 4017, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [0]], [5, [[2, 2]]], [7, [[2, 2]]], [11, [[2, 2]]], [13, [0]], [17, [[2, 1], [1, 2]]], [19, [[2, 2]]], [23, [[2, 1], [1, 2]]], [29, [[2, 1], [1, 2]]], [31, [[4, 1]]], [37, [[4, 1]]], [41, [[4, 1]]], [43, [[2, 1], [1, 2]]], [47, [[2, 2]]], [53, [[2, 2]]], [59, [[4, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 63.3798075099633, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.52221.1', 'local_algs': ['3.1.0.1', '3.1.0.1', '3.2.1.1', '13.4.2.1', '103.1.0.1', '103.1.0.1', '103.2.1.2'], 'monogenic': -1, 'num_ram': 3, 'r2': 2, 'ramps': [3, 13, 103], 'rd': 15.1168497315, 'regulator': {'__RealLiteral__': 0, 'data': '2.38952643457', 'prec': 44}, 'relative_class_number': 4, 'res': {'gal': ['16,0,260,0,369,0,65,0,1'], 'sib': ['105,-27,28,-2,1', '16,0,260,0,369,0,65,0,1']}, 'subfield_mults': [1], 'subfields': ['-3.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{15} a^{3} + \\frac{2}{15} a^{2} + \\frac{1}{5} a + \\frac{2}{5} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/15*a^3 + 2/15*a^2 + 1/5*a + 2/5']}
Number field data - 4.0.52221.1