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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -2, -2, 0, 11, 0, -2, -2, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 70304000, 'disc_rad': 130, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[8, 1]]], [5, [0]], [7, [[4, 2]]], [11, [[8, 1]]], [13, [0]], [17, [[4, 1], [1, 4]]], [19, [[8, 1]]], [23, [[8, 1]]], [29, [[4, 2]]], [31, [[8, 1]]], [37, [[2, 2], [1, 4]]], [41, [[4, 1], [2, 2]]], [43, [[8, 1]]], [47, [[4, 2]]], [53, [[4, 1], [2, 2]]], [59, [[8, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [32, 24, 24], 'galois_label': '8T17', 'galt': 17, 'grd': 45.78413496570207, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 3, 'label': '8.0.70304000.3', 'local_algs': ['2.4.4.1', '2.4.4.1', '5.4.0.1', '5.4.3.2', '13.4.3.1', '13.4.0.1'], 'monogenic': -1, 'num_ram': 3, 'r2': 4, 'ramps': [2, 5, 13], 'rd': 9.56913109595, 'regulator': {'__RealLiteral__': 0, 'data': '10.0483494552', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['1.0.1', '4.-4.1.0.1'], 'torsion_gen': '\\( a^{7} - \\frac{7}{4} a^{6} - \\frac{9}{4} a^{5} - a^{4} + \\frac{41}{4} a^{3} + 3 a^{2} + \\frac{3}{4} a - \\frac{7}{4} \\)', 'torsion_order': 4, 'units': ['\\( a \\)', '\\( \\frac{1}{2} a^{6} - a^{5} - a^{4} + 5 a^{2} - \\frac{1}{2} \\)', '\\( \\frac{1}{2} a^{7} - \\frac{5}{4} a^{6} - \\frac{1}{4} a^{5} + \\frac{21}{4} a^{3} - 3 a^{2} + \\frac{5}{4} a - \\frac{1}{4} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4 - 1/2*a^2 - 1/2', '1/2*a^5 - 1/2*a^3 - 1/2*a', '1/4*a^6 - 1/4*a^5 + 1/4*a^3 - 1/4*a + 1/4', '1/4*a^7 - 1/4*a^5 - 1/4*a^4 + 1/4*a^3 + 1/4*a^2 - 1/4']}