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{'class_group': [4], 'class_number': 4, 'cm': True, 'coeffs': [181, -90, 81, -10, 18, 0, 1], 'conductor': 117, 'degree': 6, 'dirichlet_group': [1, 116, 38, 40, 77, 79], 'disc_abs': 43243551, 'disc_rad': 39, 'disc_sign': -1, 'frobs': [[2, [[3, 2]]], [3, [0]], [5, [[3, 2]]], [7, [[6, 1]]], [11, [[3, 2]]], [13, [0]], [17, [[2, 3]]], [19, [[2, 3]]], [23, [[6, 1]]], [29, [[6, 1]]], [31, [[6, 1]]], [37, [[2, 3]]], [41, [[3, 2]]], [43, [[3, 2]]], [47, [[3, 2]]], [53, [[2, 3]]], [59, [[3, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [9, 3], 'galois_label': '6T1', 'galt': 1, 'grd': 18.734993995195193, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.43243551.1', 'local_algs': ['3.6.9.10', '13.6.3.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 3, 'ramps': [3, 13], 'rd': 18.7349939952, 'regulator': {'__RealLiteral__': 0, 'data': '3.39714980258', 'prec': 44}, 'res': {'sex': ['-1,-3,0,1', '10,-1,1', '0,1']}, 'subfield_mults': [1, 1], 'subfields': ['10.-1.1', '-1.-3.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{7}{508} a^{5} - \\frac{19}{508} a^{4} + \\frac{105}{508} a^{3} - \\frac{57}{127} a^{2} + \\frac{315}{508} a - \\frac{171}{254} \\)', '\\( \\frac{3}{508} a^{5} + \\frac{5}{254} a^{4} + \\frac{45}{508} a^{3} - \\frac{7}{508} a^{2} + \\frac{2}{127} a - \\frac{37}{254} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/4*a^3 + 1/4*a + 1/4', '1/4*a^4 + 1/4*a^2 + 1/4*a', '1/508*a^5 - 39/508*a^4 + 15/508*a^3 - 107/254*a^2 - 209/508*a - 97/254']}