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{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1], 'conductor': 60, 'degree': 16, 'dirichlet_group': [1, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 49, 53, 59], 'disc_abs': 104976000000000000, 'disc_rad': 30, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[4, 4]]], [11, [[2, 8]]], [13, [[4, 4]]], [17, [[4, 4]]], [19, [[2, 8]]], [23, [[4, 4]]], [29, [[2, 8]]], [31, [[2, 8]]], [37, [[4, 4]]], [41, [[2, 8]]], [43, [[4, 4]]], [47, [[4, 4]]], [53, [[4, 4]]], [59, [[2, 8]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 8, 12], 'galois_label': '16T2', 'galt': 2, 'grd': 11.582921852882691, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '16.0.104976000000000000.1', 'local_algs': ['2.8.8.1', '2.8.8.1', '3.8.4.1', '3.8.4.1', '5.8.6.1', '5.8.6.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 8, 'ramps': [2, 3, 5], 'rd': 11.5829218529, 'regulator': {'__RealLiteral__': 0, 'data': '1560.85801125', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'subfields': ['1.-1.1', '1.0.1', '-3.0.1', '-1.-1.1', '4.-1.1', '5.0.1', '-15.0.1', '1.0.-1.0.1', '1.1.2.-1.1', '25.0.-5.0.1', '1.0.3.0.1', '16.0.-7.0.1', '1.8.-7.-2.1', '4.0.1.0.1', '1.-1.1.-1.1', '1.4.-4.-1.1', '5.0.-5.0.1', '45.0.15.0.1', '1.0.-3.0.8.0.-3.0.1', '1.-1.0.1.-1.1.0.-1.1', '25.0.25.0.20.0.5.0.1', '1.0.-1.0.1.0.-1.0.1', '1.0.24.0.26.0.9.0.1', '81.0.27.0.9.0.3.0.1', '1.0.-8.0.14.0.-7.0.1'], 'torsion_gen': '\\( a \\)', 'torsion_order': 60, 'units': ['\\( a^{12} - a^{6} + 1 \\)', '\\( a^{12} - a^{8} \\)', '\\( a^{14} + a^{12} \\)', '\\( a^{14} - a^{11} - a^{4} + a \\)', '\\( a^{14} - a^{8} + a^{7} - a^{6} + a^{2} - a + 1 \\)', '\\( a^{15} - a^{14} - a^{12} + a^{8} + a^{6} + a^{4} - 1 \\)', '\\( a^{14} - a^{13} + a^{12} - a^{10} + a^{9} - a^{8} + a^{2} - a + 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', 'a^12', 'a^13', 'a^14', 'a^15']}