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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [3, 0, -6, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 27648, 'disc_rad': 6, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[2, 1], [1, 2]]], [7, [[4, 1]]], [11, [[2, 2]]], [13, [[2, 2]]], [17, [[4, 1]]], [19, [[2, 1], [1, 2]]], [23, [[2, 2]]], [29, [[2, 1], [1, 2]]], [31, [[4, 1]]], [37, [[2, 2]]], [41, [[4, 1]]], [43, [[2, 1], [1, 2]]], [47, [[2, 2]]], [53, [[2, 1], [1, 2]]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [22, 6], 'galois_label': '4T3', 'galt': 3, 'grd': 15.33463450191054, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '4.4.27648.1', 'local_algs': ['2.1.4.10a1.7', '3.1.4.3a1.1'], 'minimal_sibling': [6, 0, -6, 0, 1], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [2, 3], 'rd': 12.8948391819, 'regulator': {'__RealLiteral__': 0, 'data': '17.6308985755', 'prec': 44}, 'res': {'gal': ['1,4,-4,-20,4,20,-4,-4,1'], 'sib': ['6,0,-6,0,1', '1,4,-4,-20,4,20,-4,-4,1']}, 'subfield_mults': [1], 'subfields': ['-6.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - a^{2} - 5 a + 4 \\)', '\\( a^{3} - 5 a - 1 \\)', '\\( a^{3} - 5 a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}