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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-18, 0, 0, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 18432, 'disc_rad': 6, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [[4, 1]]], [7, [[2, 1], [1, 2]]], [11, [[2, 2]]], [13, [[4, 1]]], [17, [[1, 4]]], [19, [[2, 2]]], [23, [[2, 1], [1, 2]]], [29, [[4, 1]]], [31, [[2, 1], [1, 2]]], [37, [[4, 1]]], [41, [[1, 4]]], [43, [[2, 2]]], [47, [[2, 1], [1, 2]]], [53, [[4, 1]]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 13.856406460551018, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 3, 'label': '4.2.18432.3', 'local_algs': ['2.4.11.16', '3.4.2.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 1, 'ramps': [2, 3], 'rd': 11.651802521, 'regulator': {'__RealLiteral__': 0, 'data': '7.43601643081', 'prec': 44}, 'res': {'gal': ['81,0,-108,0,72,0,-12,0,1'], 'sib': ['18,0,0,0,1', '81,0,-108,0,72,0,-12,0,1']}, 'subfield_mults': [1], 'subfields': ['-2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{3} a^{2} + 1 \\)', '\\( 2 a^{3} - 4 a^{2} + 8 a - 17 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/3*a^2', '1/3*a^3']}