{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.115.2t1.a', 'Character': [[1], [1], [-1], [-1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.23.2t1.a', 'Character': [[1], [-1], [-1], [1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.5.2t1.a', 'Character': [[1], [-1], [1], [-1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.460.3t2.a', 'Character': [[2], [2], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.460.6t3.b', 'Character': [[2], [-2], [0], [0], [-1], [1]], 'CharacterField': 1}], 'ComplexConjugation': 3, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6]}, {'Size': '1', 'Order': 2, 'Representative': [5, 3, 2, 6, 1, 4]}, {'Size': '3', 'Order': 2, 'Representative': [1, 6, 4, 3, 5, 2]}, {'Size': '3', 'Order': 2, 'Representative': [2, 1, 5, 6, 3, 4]}, {'Size': '2', 'Order': 3, 'Representative': [4, 5, 1, 3, 6, 2]}, {'Size': '2', 'Order': 6, 'Representative': [2, 4, 6, 5, 3, 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': ['-23', '1'], 'ConjugacyClass': 2}, {'RootOf': ['-1863', '-45', '-21', '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': [4, 4, 3, 6, 3, 4, 6, 3, 2, 5, 5, 6, 5, 2, 4, 6, 5, 3, 6, 5, 4, 3, 6, 3, 2, 5, 2, 6, 3, 6, 4, 1, 2, 5, 3, 1, 6, 4, 4, 4, 1, 3, 3, 4, 4, 3, 5, 4, 2, 3, 4, 5, 3, 3, 4, 6, 5, 5, 4, 3, 6, 6, 4, 1, 6, 4, 5, 2, 4, 5, 4, 3, 6, 2, 3, 6, 3, 4, 3, 5, 3, 3, 3, 6, 1, 4, 5, 6, 1, 4, 6, 3, 4, 5, 5, 6, 1, 3, 2, 1, 4, 6, 6, 3, 3, 4, 4, 4, 1, 5, 4, 2, 6, 3, 3, 3, 6, 4, 4, 3, 3, 4, 6, 4, 1, 3, 3, 5, 6, 6, 5, 2, 3, 6, 5, 3, 2, 6, 6, 5, 5, 1, 4, 6, 5, 3, 4, 4, 5, 4, 4, 3, 4, 4, 6, 3, 3, 5, 2, 3, 4, 2, 4, 3, 6, 6, 5, 4], 'G-Gens': [[1, 6, 4, 3, 5, 2], [2, 4, 6, 5, 3, 1]], 'G-Name': 'D12', 'Polynomial': [9, 3, -2, 3, 0, -3, 1], 'QpRts': [['4786651', '0'], ['453290', '4557238'], ['-6113024', '7944111'], ['-3260288', '-7944111'], ['-3393592', '0'], ['7526966', '-4557238']], 'QpRts-minpoly': [2, 7, 1], 'QpRts-p': 11, 'QpRts-prec': 7, 'Size': 12, 'TransitiveDegree': 6, 'id': 459883}
