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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-159, -54, 0, 1], 'conductor': 0, 'degree': 3, 'dirichlet_group': [], 'disc_abs': 52731, 'disc_rad': 651, 'disc_sign': -1, 'frobs': [[2, [[2, 1], [1, 1]]], [3, [0]], [5, [[3, 1]]], [7, [0]], [11, [[3, 1]]], [13, [[3, 1]]], [17, [[2, 1], [1, 1]]], [19, [[2, 1], [1, 1]]], [23, [[3, 1]]], [29, [[3, 1]]], [31, [0]], [37, [[2, 1], [1, 1]]], [41, [[3, 1]]], [43, [[2, 1], [1, 1]]], [47, [[3, 1]]], [53, [[1, 3]]], [59, [[1, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [11, 3, 3], 'galois_label': '3T2', 'galt': 2, 'grd': 110.39570244923988, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '3.1.52731.2', 'local_algs': ['3.3.5.1', '7.1.0.1', '7.2.1.2', '31.1.0.1', '31.2.1.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 1, 'ramps': [3, 7, 31], 'rd': 37.4991999829, 'regulator': {'__RealLiteral__': 0, 'data': '39.6462233373', 'prec': 44}, 'res': {'gal': ['11676,-4788,1647,-210,27,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 23748816 a^{2} - 74172042 a - 1093220495 \\)'], 'unitsGmodule': [[4, 1]], 'used_grh': False, 'zk': ['1', 'a', 'a^2']}