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{'class_group': [4], 'class_number': 4, 'cm': False, 'coeffs': [-261, -1, 1], 'conductor': 1045, 'degree': 2, 'dirichlet_group': [1, 1044], 'disc_abs': 1045, 'disc_rad': 1045, 'disc_sign': 1, 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [0]], [7, [[1, 2]]], [11, [0]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [0]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_label': '2T1', 'galt': 1, 'index': 1, 'inessentialp': [], 'is_galois': True, 'iso_number': 1, 'label': '2.2.1045.1', 'local_algs': ['5.2.1.1', '11.2.1.2', '19.2.1.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 0, 'ramps': [5, 11, 19], 'rd': 32.3264597505, 'regulator': {'__RealLiteral__': 0, 'data': '4.57460468034', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 3 a + 47 \\)'], 'used_grh': False, 'zk': ['1', 'a']}