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{'class_group': [10872], 'class_number': 10872, 'cm': True, 'coeffs': [19584, -354, 355, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 6558307225, 'disc_rad': 45229705, 'disc_sign': 1, 'frobs': [[2, [[1, 4]]], [3, [[1, 4]]], [5, [0]], [7, [[2, 2]]], [11, [[4, 1]]], [13, [[4, 1]]], [17, [[1, 4]]], [19, [[2, 2]]], [23, [[2, 2]]], [29, [0]], [31, [[2, 2]]], [37, [[2, 1], [1, 2]]], [41, [[2, 2]]], [43, [[2, 1], [1, 2]]], [47, [[2, 2]]], [53, [[2, 2]]], [59, [[2, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4, 4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 6725.303338883682, 'index': 12, 'inessentialp': [2, 3], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.6558307225.1', 'local_algs': ['5.4.2.1', '29.4.2.1', '73.1.0.1', '73.1.0.1', '73.2.1.2', 'm4273.1.2.0', 'm4273.2.1.1'], 'monogenic': -1, 'num_ram': 4, 'r2': 2, 'ramps': [5, 29, 73, 4273], 'rd': 284.575782923, 'regulator': {'__RealLiteral__': 0, 'data': '6.359570875399758', 'prec': 57}, 'res': {'gal': ['5476761216,-48853800,49405188,-1104046,555199,-3814,1276,-4,1'], 'sib': ['46980,0,707,0,1']}, 'subfield_mults': [1], 'subfields': ['-36.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{9} a^{2} - \\frac{1}{9} a + \\frac{23}{3} \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/18*a^2 - 1/18*a + 1/3', '1/18*a^3 + 5/18*a + 1/3']}