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{'class_group': [3], 'class_number': 3, 'cm': False, 'coeffs': [12, 22, -1, 1], 'conductor': 0, 'degree': 3, 'dirichlet_group': [], 'disc_abs': 12675, 'disc_rad': 195, 'disc_sign': -1, 'frobs': [[2, [[2, 1], [1, 1]]], [3, [0]], [5, [0]], [7, [[3, 1]]], [11, [[2, 1], [1, 1]]], [13, [0]], [17, [[2, 1], [1, 1]]], [19, [[3, 1]]], [23, [[2, 1], [1, 1]]], [29, [[2, 1], [1, 1]]], [31, [[1, 3]]], [37, [[1, 3]]], [41, [[2, 1], [1, 1]]], [43, [[3, 1]]], [47, [[2, 1], [1, 1]]], [53, [[2, 1], [1, 1]]], [59, [[2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [3, 4, 4], 'galois_label': '3T2', 'galt': 2, 'grd': 28.000741470983698, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '3.1.12675.1', 'local_algs': ['3.1.0.1', '3.2.1.2', '5.3.2.1', '13.3.2.2'], 'monogenic': -1, 'num_ram': 3, 'r2': 1, 'ramps': [3, 5, 13], 'rd': 23.3157463848, 'regulator': {'__RealLiteral__': 0, 'data': '10.4511172909', 'prec': 44}, 'res': {'gal': ['144,264,496,-46,-21,-1,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 4 a^{2} - 34 a - 19 \\)'], 'unitsGmodule': [[4, 1]], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2*a']}