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{'class_group': [8], 'class_number': 8, 'cm': True, 'coeffs': [132, -61, 1, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 413996, 'disc_rad': 2134, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 1], [1, 2]]], [5, [[2, 2]]], [7, [[2, 2]]], [11, [0]], [13, [[4, 1]]], [17, [[4, 1]]], [19, [[2, 2]]], [23, [[4, 1]]], [29, [[4, 1]]], [31, [[2, 1], [1, 2]]], [37, [[2, 2]]], [41, [[4, 1]]], [43, [[2, 2]]], [47, [[2, 1], [1, 2]]], [53, [[2, 2]]], [59, [[4, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 65.3299318842443, 'index': 2, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '4.0.413996.1', 'local_algs': ['2.1.0.1', '2.1.0.1', '2.2.2.2', '11.1.0.1', '11.1.0.1', '11.2.1.1', '97.4.2.1'], 'minimal_sibling': [56, 24, 10, -2, 1], 'monogenic': -1, 'num_ram': 3, 'r2': 2, 'ramps': [2, 11, 97], 'rd': 25.3658275901, 'regulator': {'__RealLiteral__': 0, 'data': '18.648766192', 'prec': 40}, 'relative_class_number': 8, 'res': {'gal': ['352,-704,1126,-914,633,-214,76,-4,1'], 'sib': ['56,24,10,-2,1', '352,-704,1126,-914,633,-214,76,-4,1']}, 'subfield_mults': [1], 'subfields': ['-24.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{569}{7} a^{3} - \\frac{1138}{7} a^{2} - \\frac{6259}{7} a - \\frac{63695}{7} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/14*a^3 - 1/7*a^2 + 3/14*a + 3/7']}