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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [3, -9, -11, -1, 1], 'conductor': 39, 'degree': 4, 'dirichlet_group': [8, 1, 5, 25], 'disc_abs': 19773, 'disc_rad': 39, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [0]], [5, [[4, 1]]], [7, [[4, 1]]], [11, [[4, 1]]], [13, [0]], [17, [[1, 4]]], [19, [[4, 1]]], [23, [[1, 4]]], [29, [[2, 2]]], [31, [[4, 1]]], [37, [[4, 1]]], [41, [[4, 1]]], [43, [[2, 2]]], [47, [[4, 1]]], [53, [[2, 2]]], [59, [[4, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 3], 'galois_label': '4T1', 'galt': 1, 'grd': 11.858182817915045, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.19773.1', 'local_algs': ['3.1.2.1a1.1', '3.1.2.1a1.1', '13.1.4.3a1.1'], 'monogenic': 1, 'narrow_class_group': [2, 2], 'narrow_class_number': 4, 'num_ram': 2, 'r2': 0, 'ramps': [3, 13], 'rd': 11.8581828179, 'regulator': {'__RealLiteral__': 0, 'data': '9.44732277257', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['-3.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - 3 a^{2} - 6 a + 2 \\)', '\\( a + 2 \\)', '\\( a^{3} - 2 a^{2} - 8 a - 4 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}