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{'class_group': [3, 3, 3], 'class_number': 27, 'cm': False, 'coeffs': [4356, 8316, 13500, 45324, 17064, -113832, 123129, -82809, 43227, -14664, 1557, 1071, -516, -27, 189, -126, 45, -9, 1], 'conductor': 0, 'degree': 18, 'dirichlet_group': [], 'disc_abs': 450283905890997363000000000000, 'disc_rad': 30, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[3, 6]]], [11, [[2, 9]]], [13, [[3, 6]]], [17, [[2, 9]]], [19, [[3, 6]]], [23, [[2, 9]]], [29, [[2, 9]]], [31, [[3, 6]]], [37, [[3, 6]]], [41, [[2, 9]]], [43, [[1, 18]]], [47, [[2, 9]]], [53, [[2, 9]]], [59, [[2, 9]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 37, 12], 'galois_label': '18T4', 'galt': 4, 'grd': 44.40336798307826, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': False, 'iso_number': 5, 'label': '18.0.450283905890997363000000000000.5', 'local_algs': ['2.6.4.1', '2.6.4.1', '2.6.4.1', 'm3.18.1.37', '5.6.4.1', '5.6.4.1', '5.6.4.1'], 'minimal_sibling': [-125, 0, 0, -75, 0, 0, -15, 0, 0, 1], 'monogenic': -1, 'num_ram': 3, 'r2': 9, 'ramps': [2, 3, 5], 'rd': 44.4033679831, 'regulator': {'__RealLiteral__': 0, 'data': '8347574.07937', 'prec': 44}, 'res': {'sib': ['-125,0,0,-75,0,0,-15,0,0,1']}, 'subfield_mults': [1, 3, 3, 3, 3, 1, 1, 1, 1, 9], 'subfields': ['1.-1.1', '-45.0.0.1', '-2.0.0.1', '-90.0.0.1', '-150.0.0.1', '75.0.0.0.0.0.1', '1.-3.0.5.0.-3.1', '300.0.0.0.0.0.1', '1200.0.0.0.0.0.1', '-125.0.0.-75.0.0.-15.0.0.1'], 'torsion_gen': '\\( -\\frac{2330596735}{30471593126832} a^{17} + \\frac{8337083525}{11850063993768} a^{16} - 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