{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.3.2t1.a', 'Character': [[1], [-1], [1], [1], [1], [1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.109.3t1.a', 'Character': [[1, 0], [1, 0], [-1, -1], [0, 1], [-1, -1], [0, 1], [1, 0], [0, 1], [-1, -1]], 'CharacterField': 3}, {'GalConj': 1, 'Baselabel': '1.327.6t1.a', 'Character': [[1, 0], [-1, 0], [0, 1], [-1, -1], [0, 1], [-1, -1], [1, 0], [1, 1], [0, -1]], 'CharacterField': 3}, {'GalConj': 2, 'Baselabel': '1.327.6t1.a', 'Character': [[1, 0], [-1, 0], [-1, -1], [0, 1], [-1, -1], [0, 1], [1, 0], [0, -1], [1, 1]], 'CharacterField': 3}, {'GalConj': 2, 'Baselabel': '1.109.3t1.a', 'Character': [[1, 0], [1, 0], [0, 1], [-1, -1], [0, 1], [-1, -1], [1, 0], [-1, -1], [0, 1]], 'CharacterField': 3}, {'GalConj': 1, 'Baselabel': '2.35643.3t2.a', 'Character': [[2], [0], [2], [2], [-1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.327.6t5.b', 'Character': [[2, 0], [0, 0], [0, 2], [-2, -2], [0, -1], [1, 1], [-1, 0], [0, 0], [0, 0]], 'CharacterField': 3}, {'GalConj': 2, 'Baselabel': '2.327.6t5.b', 'Character': [[2, 0], [0, 0], [-2, -2], [0, 2], [1, 1], [0, -1], [-1, 0], [0, 0], [0, 0]], 'CharacterField': 3}], 'ComplexConjugation': 2, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6]}, {'Size': '3', 'Order': 2, 'Representative': [2, 1, 5, 6, 3, 4]}, {'Size': '1', 'Order': 3, 'Representative': [5, 3, 6, 1, 4, 2]}, {'Size': '1', 'Order': 3, 'Representative': [4, 6, 2, 5, 1, 3]}, {'Size': '2', 'Order': 3, 'Representative': [1, 6, 2, 4, 5, 3]}, {'Size': '2', 'Order': 3, 'Representative': [1, 3, 6, 4, 5, 2]}, {'Size': '2', 'Order': 3, 'Representative': [5, 6, 2, 1, 4, 3]}, {'Size': '3', 'Order': 6, 'Representative': [2, 5, 4, 6, 3, 1]}, {'Size': '3', 'Order': 6, 'Representative': [6, 1, 5, 3, 2, 4]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['25', '5', '1'], 'ConjugacyClass': 5}, {'RootOf': ['49', '7', '1'], 'ConjugacyClass': 6}], 'Algorithm': 'RES', 'CycleType': [1, 1, 1, 3]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-5', '1'], 'ConjugacyClass': 3}, {'RootOf': ['-7', '1'], 'ConjugacyClass': 4}, {'RootOf': ['144', '-12', '1'], 'ConjugacyClass': 7}], 'Algorithm': 'RES', 'CycleType': [3, 3]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-1', '3', '-3', '1'], 'ConjugacyClass': 8}, {'RootOf': ['871', '3', '-3', '1'], 'ConjugacyClass': 9}], 'Algorithm': 'RES', 'CycleType': [6]}], 'Frobs': [2, 8, 8, 6, 9, 4, 2, 7, 2, 8, 3, 5, 2, 7, 9, 8, 9, 6, 3, 2, 5, 5, 8, 8, 4, 2, 6, 2, 1, 2, 5, 9, 8, 5, 8, 5, 6, 7, 8, 2, 9, 5, 2, 5, 9, 1, 4, 6, 9, 3, 9, 9, 7, 2, 9, 2, 8, 6, 3, 2, 5, 2, 6, 2, 6, 8, 7, 6, 8, 5, 8, 2, 4, 1, 6, 8, 9, 5, 9, 7, 2, 5, 8, 6, 4, 8, 8, 3, 9, 7, 9, 2, 6, 2, 7, 9, 9, 8, 3, 7, 7, 8, 9, 8, 6, 7, 9, 8, 2, 4, 3, 7, 9, 5, 7, 8, 5, 8, 2, 8, 6, 7, 2, 8, 3, 9, 1, 9, 5, 3, 4, 8, 6, 4, 2, 6, 8, 6, 2, 2, 6, 8, 5, 2, 7, 2, 7, 9, 4, 9, 6, 9, 5, 9, 5, 9, 5, 8, 3, 8, 2, 8, 4, 8, 2, 2, 6, 1], 'G-Gens': [[2, 1, 5, 6, 3, 4], [1, 6, 2, 4, 5, 3], [5, 2, 3, 1, 4, 6]], 'G-Name': 'C3*S3', 'Polynomial': [4, 2, -5, 1, 4, -3, 1], 'QpRts': [['-11604551', '11636920'], ['-3277284', '-293032'], ['-4694719', '-11636920'], ['1411228', '293032'], ['-3629327', '-3097597'], ['-2342913', '3097597']], 'QpRts-minpoly': [3, 16, 1], 'QpRts-p': 17, 'QpRts-prec': 6, 'Size': 18, 'TransitiveDegree': 6, 'id': 502694}
