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{'class_group': [4], 'class_number': 4, 'cm': True, 'coeffs': [361, 0, 128, 0, 54, 0, 7, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 11051265625, 'disc_rad': 145, 'disc_sign': 1, 'frobs': [[2, [[4, 2]]], [3, [[4, 2]]], [5, [0]], [7, [[4, 2]]], [11, [[2, 4]]], [13, [[4, 2]]], [17, [[4, 2]]], [19, [[2, 2], [1, 4]]], [23, [[4, 2]]], [29, [0]], [31, [[2, 4]]], [37, [[4, 2]]], [41, [[2, 4]]], [43, [[4, 2]]], [47, [[4, 2]]], [53, [[4, 2]]], [59, [[2, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 8], 'galois_label': '8T10', 'galt': 10, 'grd': 18.006383777357115, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 5, 'label': '8.0.11051265625.5', 'local_algs': ['5.8.6.1', '29.2.1.2', '29.2.1.2', '29.4.2.1'], 'minimal_sibling': [1, 3, 5, 3, 4, -3, 5, -3, 1], 'monogenic': 0, 'num_ram': 2, 'r2': 4, 'ramps': [5, 29], 'rd': 18.0063837774, 'regulator': {'__RealLiteral__': 0, 'data': '6.60055078348', 'prec': 44}, 'res': {'gal': ['1,-1,6,-12,42,69,147,168,456,168,147,69,42,-12,6,-1,1'], 'sib': ['1,3,5,3,4,-3,5,-3,1', '1,-1,6,-12,42,69,147,168,456,168,147,69,42,-12,6,-1,1']}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['-1.-1.1', '1.1.-3.-1.1', '281.-36.36.-1.1', '11.-1.6.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{71} a^{6} - \\frac{2}{71} a^{4} + \\frac{1}{71} a^{2} - \\frac{94}{71} \\)', '\\( \\frac{5}{1349} a^{7} - \\frac{1}{142} a^{6} + \\frac{51}{2698} a^{5} + \\frac{1}{71} a^{4} + \\frac{289}{1349} a^{3} - \\frac{1}{142} a^{2} - \\frac{44}{1349} a + \\frac{47}{71} \\)', '\\( \\frac{5}{1349} a^{7} + \\frac{1}{142} a^{6} + \\frac{51}{2698} a^{5} - \\frac{1}{71} a^{4} + \\frac{289}{1349} a^{3} + \\frac{1}{142} a^{2} - \\frac{44}{1349} a - \\frac{118}{71} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4 - 1/2*a^3 - 1/2', '1/2*a^5 - 1/2*a^3 - 1/2*a - 1/2', '1/142*a^6 - 1/71*a^4 - 1/2*a^3 + 1/142*a^2 - 1/2*a - 23/142', '1/2698*a^7 + 70/1349*a^5 - 106/1349*a^3 - 1/2*a^2 + 261/2698*a - 1/2']}