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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [27, -29, -1, 1], 'conductor': 0, 'degree': 3, 'dirichlet_group': [], 'disc_abs': 10324, 'disc_rad': 5162, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[1, 3]]], [5, [[3, 1]]], [7, [[2, 1], [1, 1]]], [11, [[2, 1], [1, 1]]], [13, [[2, 1], [1, 1]]], [17, [[2, 1], [1, 1]]], [19, [[3, 1]]], [23, [[2, 1], [1, 1]]], [29, [0]], [31, [[3, 1]]], [37, [[3, 1]]], [41, [[1, 3]]], [43, [[3, 1]]], [47, [[2, 1], [1, 1]]], [53, [[3, 1]]], [59, [[2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 3, 3], 'galois_label': '3T2', 'galt': 2, 'grd': 80.6455978932349, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '3.3.10324.1', 'local_algs': ['2.3.2.1', '29.1.0.1', '29.2.1.2', '89.1.0.1', '89.2.1.2'], 'monogenic': -1, 'num_ram': 3, 'r2': 0, 'ramps': [2, 29, 89], 'rd': 21.7745571926, 'regulator': {'__RealLiteral__': 0, 'data': '41.2769285833', 'prec': 44}, 'res': {'gal': ['-492,764,228,-404,-106,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{8}{3} a^{2} + \\frac{35}{3} a - 14 \\)', '\\( a^{2} - 16 a + 14 \\)'], 'unitsGmodule': [[4, 1], [5, 1]], 'used_grh': False, 'zk': ['1', 'a', '1/3*a^2 + 1/3*a']}