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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [2, 0, -2, 0, 5, 0, -4, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 1258815488, 'disc_rad': 14, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[8, 1]]], [5, [[8, 1]]], [7, [0]], [11, [[2, 3], [1, 2]]], [13, [[8, 1]]], [17, [[2, 4]]], [19, [[8, 1]]], [23, [[4, 2]]], [29, [[2, 3], [1, 2]]], [31, [[2, 4]]], [37, [[2, 3], [1, 2]]], [41, [[2, 4]]], [43, [[2, 3], [1, 2]]], [47, [[2, 4]]], [53, [[2, 3], [1, 2]]], [59, [[8, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [44, 8], 'galois_label': '8T6', 'galt': 6, 'grd': 17.798422345016238, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '8.0.1258815488.2', 'local_algs': ['2.4.9.8', '2.4.10.5', '7.4.2.1', '7.4.2.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 4, 'ramps': [2, 7], 'rd': 13.7244598078, 'regulator': {'__RealLiteral__': 0, 'data': '41.9007892479', 'prec': 44}, 'res': {'gal': ['1,4,4,-20,-38,-4,140,116,-198,-116,140,4,-38,20,4,-4,1'], 'sib': ['-2,16,-44,48,-22,0,8,-4,1', '1,4,4,-20,-38,-4,140,116,-198,-116,140,4,-38,20,4,-4,1']}, 'subfield_mults': [1, 1], 'subfields': ['2.-1.1', '2.0.-1.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - a - 1 \\)', '\\( a^{3} - a + 1 \\)', '\\( a^{7} - a^{6} - 3 a^{5} + 3 a^{4} + 2 a^{3} - 2 a^{2} + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7']}