{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.8.2t1.a', 'Character': [[1], [1], [-1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.88.2t1.a', 'Character': [[1], [1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.44.2t1.a', 'Character': [[1], [1], [-1], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.30976.8t5.b', 'Character': [[2], [-2], [0], [0], [0]], 'CharacterField': 1}], 'ComplexConjugation': 2, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8]}, {'Size': '1', 'Order': 2, 'Representative': [8, 7, 6, 5, 4, 3, 2, 1]}, {'Size': '2', 'Order': 4, 'Representative': [2, 8, 5, 3, 6, 4, 1, 7]}, {'Size': '2', 'Order': 4, 'Representative': [6, 5, 1, 2, 7, 8, 4, 3]}, {'Size': '2', 'Order': 4, 'Representative': [5, 3, 7, 1, 8, 2, 6, 4]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2, 2, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [8, 7, 6, 5, 4, 3, 2, 1]}, 'Classes': [{'RootOf': ['-77394093568', '0', '1'], 'ConjugacyClass': 3}, {'RootOf': ['-454645965312', '0', '1'], 'ConjugacyClass': 4}, {'RootOf': ['-1543708622016', '0', '1'], 'ConjugacyClass': 5}], 'Algorithm': 'RES', 'CycleType': [4, 4]}], 'Frobs': [1, 3, 5, 2, 5, 3, 4, 5, 4, 3, 4, 5, 4, 5, 4, 5, 3, 3, 3, 4, 4, 2, 5, 1, 1, 3, 4, 5, 3, 1, 1, 5, 2, 5, 3, 1, 5, 3, 2, 3, 3, 5, 4, 4, 3, 4, 5, 4, 5, 5, 4, 1, 4, 3, 2, 1, 5, 2, 3, 4, 5, 3, 5, 4, 1, 5, 3, 4, 5, 3, 1, 1, 4, 3, 3, 4, 5, 5, 2, 4, 3, 5, 1, 2, 2, 3, 2, 4, 3, 4, 3, 1, 4, 5, 3, 1, 5, 1, 5, 3, 5, 3, 5, 4, 5, 2, 3, 4, 4, 4, 1, 3, 2, 3, 4, 1, 3, 4, 5, 5, 5, 4, 3, 3, 3, 3, 5, 4, 4, 3, 5, 2, 4, 5, 4, 4, 5, 5, 5, 4, 5, 3, 4, 5, 5, 4, 3, 4, 3, 4, 3, 2, 3, 2, 3, 4, 2, 1, 4, 3, 3, 4, 2, 3, 2, 4, 4, 3], 'G-Gens': [[8, 7, 6, 5, 4, 3, 2, 1], [2, 8, 5, 3, 6, 4, 1, 7], [6, 5, 1, 2, 7, 8, 4, 3]], 'G-Name': 'Q8', 'Polynomial': [121, 0, 484, 0, 308, 0, 44, 0, 1], 'QpRts': [['-14999786261435944746'], ['7822137197756709249'], ['-6684184661557685344'], ['6514723741422386491'], ['-6514723741422386491'], ['6684184661557685344'], ['-7822137197756709249'], ['14999786261435944746']], 'QpRts-minpoly': [-1, 1], 'QpRts-p': 89, 'QpRts-prec': 10, 'Size': 8, 'TransitiveDegree': 8, 'id': 448159}
