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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [2, -5, 6, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 3757, 'disc_rad': 221, 'disc_sign': 1, 'frobs': [[2, [[2, 1], [1, 2]]], [3, [[2, 2]]], [5, [[4, 1]]], [7, [[4, 1]]], [11, [[4, 1]]], [13, [0]], [17, [0]], [19, [[2, 1], [1, 2]]], [23, [[2, 2]]], [29, [[2, 2]]], [31, [[4, 1]]], [37, [[4, 1]]], [41, [[4, 1]]], [43, [[2, 2]]], [47, [[2, 1], [1, 2]]], [53, [[2, 2]]], [59, [[2, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 14.866068747318506, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '4.0.3757.1', 'local_algs': ['13.2.0.1', '13.2.1.2', '17.2.1.1', '17.2.1.1'], 'minimal_sibling': [4, -2, 1, -1, 1], 'monogenic': 1, 'num_ram': 2, 'r2': 2, 'ramps': [13, 17], 'rd': 7.82907221086, 'regulator': {'__RealLiteral__': 0, 'data': '4.18942509452', 'prec': 44}, 'relative_class_number': 1, 'res': {'gal': ['17,-34,123,-2,-38,-4,1,0,1'], 'sib': ['4,-2,1,-1,1', '17,-34,123,-2,-38,-4,1,0,1']}, 'subfield_mults': [1], 'subfields': ['-4.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a^{2} - 2 a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}
Number field data - 4.0.3757.1