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{'class_group': [3], 'class_number': 3, 'cm': False, 'coeffs': [7, 13, -1, 1], 'conductor': 0, 'degree': 3, 'dirichlet_group': [], 'disc_abs': 2888, 'disc_rad': 38, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[3, 1]]], [5, [[2, 1], [1, 1]]], [7, [[2, 1], [1, 1]]], [11, [[3, 1]]], [13, [[2, 1], [1, 1]]], [17, [[1, 3]]], [19, [0]], [23, [[2, 1], [1, 1]]], [29, [[2, 1], [1, 1]]], [31, [[2, 1], [1, 1]]], [37, [[2, 1], [1, 1]]], [41, [[3, 1]]], [43, [[1, 3]]], [47, [[2, 1], [1, 1]]], [53, [[2, 1], [1, 1]]], [59, [[3, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_label': '3T2', 'galt': 2, 'index': 1, 'inessentialp': [], 'is_galois': False, 'iso_number': 1, 'label': '3.1.2888.1', 'local_algs': ['2.1.0.1', '2.2.3.3', '19.3.2.3'], 'monogenic': -1, 'num_ram': 2, 'r2': 1, 'ramps': [2, 19], 'rd': 14.2407347178, 'regulator': {'__RealLiteral__': 0, 'data': '4.07897556904', 'prec': 44}, 'res': {'gal': ['50,0,29,0,-12,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a + 1 \\)'], 'unitsGmodule': [[3, 1]], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2']}