{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.85.8t1.a', 'Character': [[1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 1, 0], [0, 0, -1, 0], [0, 1, 0, 0], [0, 0, 0, 1], [0, -1, 0, 0], [0, 0, 0, -1]], 'CharacterField': 8}, {'GalConj': 1, 'Baselabel': '1.17.4t1.a', 'Character': [[1, 0], [1, 0], [-1, 0], [-1, 0], [0, 1], [0, -1], [0, 1], [0, -1]], 'CharacterField': 4}, {'GalConj': 2, 'Baselabel': '1.85.8t1.a', 'Character': [[1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 1, 0], [0, 0, 0, 1], [0, 1, 0, 0], [0, 0, 0, -1], [0, -1, 0, 0]], 'CharacterField': 8}, {'GalConj': 1, 'Baselabel': '1.17.2t1.a', 'Character': [[1], [1], [1], [1], [-1], [-1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 3, 'Baselabel': '1.85.8t1.a', 'Character': [[1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 1, 0], [0, 0, -1, 0], [0, -1, 0, 0], [0, 0, 0, -1], [0, 1, 0, 0], [0, 0, 0, 1]], 'CharacterField': 8}, {'GalConj': 2, 'Baselabel': '1.17.4t1.a', 'Character': [[1, 0], [1, 0], [-1, 0], [-1, 0], [0, -1], [0, 1], [0, -1], [0, 1]], 'CharacterField': 4}, {'GalConj': 4, 'Baselabel': '1.85.8t1.a', 'Character': [[1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 1, 0], [0, 0, 0, -1], [0, -1, 0, 0], [0, 0, 0, 1], [0, 1, 0, 0]], 'CharacterField': 8}], 'ComplexConjugation': 1, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8]}, {'Size': '1', 'Order': 2, 'Representative': [2, 1, 8, 6, 7, 4, 5, 3]}, {'Size': '1', 'Order': 4, 'Representative': [5, 7, 4, 8, 2, 3, 1, 6]}, {'Size': '1', 'Order': 4, 'Representative': [7, 5, 6, 3, 1, 8, 2, 4]}, {'Size': '1', 'Order': 8, 'Representative': [4, 6, 1, 5, 8, 7, 3, 2]}, {'Size': '1', 'Order': 8, 'Representative': [8, 3, 5, 2, 6, 1, 4, 7]}, {'Size': '1', 'Order': 8, 'Representative': [6, 4, 2, 7, 3, 5, 8, 1]}, {'Size': '1', 'Order': 8, 'Representative': [3, 8, 7, 1, 4, 2, 6, 5]}], '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': [0, 0, 1]}, 'Classes': [{'RootOf': ['-21', '1'], 'ConjugacyClass': 3}, {'RootOf': ['64', '1'], 'ConjugacyClass': 4}], 'Algorithm': 'RES', 'CycleType': [4, 4]}, {'Data': {'Powers': [1], 'Resolvent': [-5, 11, -7, 1]}, 'Classes': [{'RootOf': ['352', '1'], 'ConjugacyClass': 5}, {'RootOf': ['216', '1'], 'ConjugacyClass': 6}, {'RootOf': ['182', '1'], 'ConjugacyClass': 7}, {'RootOf': ['-39', '1'], 'ConjugacyClass': 8}], 'Algorithm': 'RES', 'CycleType': [8]}], 'Frobs': [3, 5, 7, 6, 6, 1, 1, 4, 8, 5, 7, 5, 8, 4, 1, 3, 3, 8, 2, 7, 7, 6, 3, 2, 7, 1, 2, 7, 8, 8, 4, 5, 2, 7, 2, 4, 1, 6, 5, 5, 3, 6, 2, 8, 6, 5, 8, 3, 8, 3, 7, 1, 7, 2, 3, 4, 7, 1, 7, 3, 8, 1, 2, 5, 6, 8, 3, 5, 6, 3, 1, 4, 6, 2, 5, 4, 4, 8, 8, 1, 6, 2, 6, 4, 7, 2, 8, 3, 4, 1, 4, 7, 8, 4, 6, 6, 1, 6, 1, 7, 5, 1, 3, 3, 8, 2, 4, 3, 2, 6, 7, 2, 7, 8, 4, 5, 5, 2, 6, 2, 4, 6, 5, 5, 6, 2, 5, 5, 1, 3, 3, 7, 7, 4, 2, 2, 4, 7, 3, 8, 5, 5, 6, 8, 2, 6, 5, 6, 3, 1, 6, 7, 2, 5, 8, 8, 1, 6, 3, 6, 7, 2, 3, 4, 4, 5, 5, 8], 'G-Gens': [[4, 6, 1, 5, 8, 7, 3, 2], [7, 5, 6, 3, 1, 8, 2, 4], [2, 1, 8, 6, 7, 4, 5, 3]], 'G-Name': 'C8', 'Polynomial': [-169, 429, -214, -197, 151, 23, -24, -1, 1], 'QpRts': [['2725681162'], ['-2694405562'], ['-4737313664'], ['161025143'], ['814404961'], ['4610479178'], ['1540854471'], ['-2420725688']], 'QpRts-minpoly': [-1, 1], 'QpRts-p': 101, 'QpRts-prec': 5, 'Size': 8, 'TransitiveDegree': 8, 'id': 447084}
