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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [4, 2, -5, -2, 1, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 223587, 'disc_rad': 273, 'disc_sign': -1, 'frobs': [[2, [[2, 3]]], [3, [0]], [5, [[6, 1]]], [7, [0]], [11, [[6, 1]]], [13, [0]], [17, [[2, 3]]], [19, [[3, 1], [1, 3]]], [23, [[2, 3]]], [29, [[6, 1]]], [31, [[3, 2]]], [37, [[3, 2]]], [41, [[6, 1]]], [43, [[3, 1], [1, 3]]], [47, [[6, 1]]], [53, [[6, 1]]], [59, [[2, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [9, 12, 12], 'galois_label': '6T5', 'galt': 5, 'grd': 35.04194650073235, 'index': 4, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '6.0.223587.2', 'local_algs': ['3.6.3.2', '7.3.2.3', '7.3.0.1', '13.3.2.1', '13.3.0.1'], 'monogenic': -1, 'num_ram': 3, 'r2': 3, 'ramps': [3, 7, 13], 'rd': 7.79066311269, 'regulator': {'__RealLiteral__': 0, 'data': '6.17969009809', 'prec': 44}, 'res': {'gal': ['1728,-4752,9468,-14058,19809,-18939,13099,-7926,5814,-4338,2544,-852,220,-210,198,-108,39,-9,1'], 'sex': ['64,-30,-1,1', '-91,0,0,1'], 'sib': ['-8,0,0,-79,0,0,-6,0,0,1', '1728,-4752,9468,-14058,19809,-18939,13099,-7926,5814,-4338,2544,-852,220,-210,198,-108,39,-9,1']}, 'subfield_mults': [1], 'subfields': ['1.-1.1'], 'torsion_gen': '\\( \\frac{1}{2} a^{4} + a^{2} - \\frac{1}{2} a - 1 \\)', 'torsion_order': 6, 'units': ['\\( \\frac{1}{2} a^{5} + \\frac{1}{2} a^{4} + a^{3} + \\frac{1}{2} a^{2} - \\frac{5}{2} a - 2 \\)', '\\( \\frac{1}{2} a^{5} + \\frac{1}{2} a^{4} + a^{3} + \\frac{1}{2} a^{2} - \\frac{5}{2} a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2*a^3 - 1/2*a^2 - 1/2*a', '1/2*a^4 - 1/2*a', '1/2*a^5 - 1/2*a^2']}