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nf_fields • Show schema
{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [625, 0, -147, 0, 1], 'conductor': 19109, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 365153881, 'disc_rad': 19109, 'disc_sign': 1, 'frobs': [[2, [[2, 2]]], [3, [[2, 2]]], [5, [[2, 2]]], [7, [[2, 2]]], [11, [[2, 2]]], [13, [[2, 2]]], [17, [[2, 2]]], [19, [[2, 2]]], [23, [[2, 2]]], [29, [[2, 2]]], [31, [[2, 2]]], [37, [[2, 2]]], [41, [[2, 2]]], [43, [[1, 4]]], [47, [[1, 4]]], [53, [[1, 4]]], [59, [[2, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 2], 'galois_label': '4T2', 'galt': 2, 'grd': 138.23530663329106, 'index': 2, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.365153881.1', 'local_algs': ['97.2.1.1', '97.2.1.1', '197.2.1.1', '197.2.1.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 0, 'ramps': [97, 197], 'rd': 138.235306633, 'regulator': {'__RealLiteral__': 0, 'data': '525.626897232', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1, 1], 'subfields': ['-4777.-1.1', '-24.-1.1', '-49.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{25} a^{3} - \\frac{172}{25} a - 14 \\)', '\\( \\frac{59}{25} a^{3} + 5 a^{2} - \\frac{8423}{25} a - 709 \\)', '\\( \\frac{59}{25} a^{3} - 5 a^{2} - \\frac{8423}{25} a + 709 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2*a - 1/2', '1/50*a^3 - 11/25*a - 1/2']}
Number field data - 4.4.365153881.1