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{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [1, 0, -1, 0, 1], 'conductor': 12, 'degree': 4, 'dirichlet_group': [1, 11, 5, 7], 'disc_abs': 144, 'disc_rad': 6, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[2, 2]]], [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, [[2, 2]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[2, 2]]], [59, [[2, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 2], 'galois_label': '4T2', 'galt': 2, 'grd': 3.4641016151377544, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.144.1', 'local_algs': ['2.4.4.1', '3.4.2.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 3], 'rd': 3.46410161514, 'regulator': {'__RealLiteral__': 0, 'data': '1.31695789692', 'prec': 44}, 'relative_class_number': 1, 'res': {}, 'subfield_mults': [1, 1, 1], 'subfields': ['1.-1.1', '1.0.1', '-3.0.1'], 'torsion_gen': '\\( a \\)', 'torsion_order': 12, 'units': ['\\( a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}