{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.87.2t1.a', 'Character': [[1], [1], [-1], [-1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.29.2t1.a', 'Character': [[1], [-1], [-1], [1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.3.2t1.a', 'Character': [[1], [-1], [1], [-1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.87.3t2.a', 'Character': [[2], [2], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.87.6t3.b', 'Character': [[2], [-2], [0], [0], [-1], [1]], 'CharacterField': 1}], 'ComplexConjugation': 4, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6]}, {'Size': '1', 'Order': 2, 'Representative': [2, 1, 4, 3, 6, 5]}, {'Size': '3', 'Order': 2, 'Representative': [1, 2, 6, 5, 4, 3]}, {'Size': '3', 'Order': 2, 'Representative': [2, 1, 5, 6, 3, 4]}, {'Size': '2', 'Order': 3, 'Representative': [5, 6, 2, 1, 4, 3]}, {'Size': '2', 'Order': 6, 'Representative': [3, 4, 5, 6, 2, 1]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 3, 'Algorithm': 'CYC', 'CycleType': [1, 1, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['3', '1'], 'ConjugacyClass': 2}, {'RootOf': ['3', '36', '5', '1'], 'ConjugacyClass': 4}], 'Algorithm': 'RES', 'CycleType': [2, 2, 2]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [3, 3]}, {'Data': 0, 'Classes': 6, 'Algorithm': 'CYC', 'CycleType': [6]}], 'Frobs': [6, 3, 4, 5, 6, 5, 6, 3, 4, 4, 3, 3, 2, 3, 6, 4, 4, 3, 5, 4, 3, 3, 4, 6, 3, 6, 1, 4, 5, 6, 3, 6, 2, 5, 4, 1, 3, 3, 4, 4, 4, 5, 2, 3, 4, 5, 3, 5, 4, 3, 4, 4, 5, 6, 4, 2, 6, 3, 5, 4, 1, 6, 3, 6, 5, 6, 3, 3, 4, 1, 4, 2, 3, 1, 3, 4, 6, 1, 4, 3, 4, 3, 4, 3, 5, 6, 6, 5, 2, 5, 2, 2, 1, 2, 5, 6, 4, 4, 5, 3, 5, 4, 6, 6, 1, 3, 4, 4, 6, 3, 3, 5, 2, 3, 5, 6, 5, 4, 6, 6, 5, 5, 6, 4, 5, 4, 1, 4, 3, 3, 3, 6, 3, 3, 4, 3, 2, 1, 2, 6, 5, 4, 3, 2, 3, 6, 3, 4, 3, 4, 1, 6, 1, 6, 3, 6, 5, 4, 5, 4, 6, 4, 3, 2, 4, 2, 5, 3], 'G-Gens': [[2, 1, 4, 3, 6, 5], [1, 2, 6, 5, 4, 3], [3, 4, 5, 6, 2, 1]], 'G-Name': 'D12', 'Polynomial': [1, -3, 5, -4, 4, -1, 1], 'QpRts': [['-58246', '1199020'], ['-665170', '-279004'], ['1127326', '0'], ['-452898', '0'], ['644285', '-1199020'], ['-595296', '279004']], 'QpRts-minpoly': [2, 18, 1], 'QpRts-p': 19, 'QpRts-prec': 5, 'Size': 12, 'TransitiveDegree': 6, 'id': 459772}
