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{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1], 'conductor': 28, 'degree': 12, 'dirichlet_group': [1, 3, 5, 9, 11, 13, 15, 17, 19, 23, 25, 27], 'disc_abs': 1157018619904, 'disc_rad': 14, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[6, 2]]], [5, [[6, 2]]], [7, [0]], [11, [[6, 2]]], [13, [[2, 6]]], [17, [[6, 2]]], [19, [[6, 2]]], [23, [[6, 2]]], [29, [[1, 12]]], [31, [[6, 2]]], [37, [[3, 4]]], [41, [[2, 6]]], [43, [[2, 6]]], [47, [[6, 2]]], [53, [[3, 4]]], [59, [[6, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 10], 'galois_label': '12T2', 'galt': 2, 'grd': 10.122280369592772, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.0.1157018619904.1', 'local_algs': ['2.6.6.3', '2.6.6.3', '7.12.10.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 6, 'ramps': [2, 7], 'rd': 10.1222803696, 'regulator': {'__RealLiteral__': 0, 'data': '123.252731541', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1, 1, 1, 1, 1, 1, 1], 'subfields': ['1.0.1', '2.-1.1', '-7.0.1', '1.-2.-1.1', '4.0.-3.0.1', '1.0.6.0.5.0.1', '1.-1.1.-1.1.-1.1', '-7.0.14.0.-7.0.1'], 'torsion_gen': '\\( a \\)', 'torsion_order': 28, 'units': ['\\( a^{4} + 1 \\)', '\\( a^{10} - a^{8} \\)', '\\( a^{3} - a^{2} \\)', '\\( a^{3} - 1 \\)', '\\( a^{5} - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11']}