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{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [1, 0, 9, 0, 6, 0, 1], 'conductor': 36, 'degree': 6, 'dirichlet_group': [1, 19, 7, 25, 13, 31], 'disc_abs': 419904, 'disc_rad': 6, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [[3, 2]]], [7, [[6, 1]]], [11, [[6, 1]]], [13, [[3, 2]]], [17, [[1, 6]]], [19, [[2, 3]]], [23, [[6, 1]]], [29, [[3, 2]]], [31, [[6, 1]]], [37, [[1, 6]]], [41, [[3, 2]]], [43, [[6, 1]]], [47, [[6, 1]]], [53, [[1, 6]]], [59, [[6, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 8], 'galois_label': '6T1', 'galt': 1, 'grd': 8.65349742184445, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.419904.1', 'local_algs': ['2.3.2.6a1.1', '3.2.3.8a2.1'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 3, 'ramps': [2, 3], 'rd': 8.65349742184, 'regulator': {'__RealLiteral__': 0, 'data': '3.39714980258', 'prec': 44}, 'relative_class_number': 1, 'res': {'sex': ['0,1', '1,0,1', '-1,-3,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['1.0.1', '-1.-3.0.1'], 'torsion_gen': '\\( a^{3} + 3 a \\)', 'torsion_order': 4, 'units': ['\\( a^{5} + 5 a^{3} + 5 a \\)', '\\( a^{5} + 5 a^{3} + 6 a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}