{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.40.4t1.a', 'Character': [[1, 0], [-1, 0], [0, 1], [0, -1]], 'CharacterField': 4}, {'GalConj': 1, 'Baselabel': '1.5.2t1.a', 'Character': [[1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 2, 'Baselabel': '1.40.4t1.a', 'Character': [[1, 0], [-1, 0], [0, -1], [0, 1]], 'CharacterField': 4}], 'ComplexConjugation': 1, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4]}, {'Size': '1', 'Order': 2, 'Representative': [4, 3, 2, 1]}, {'Size': '1', 'Order': 4, 'Representative': [3, 1, 4, 2]}, {'Size': '1', 'Order': 4, 'Representative': [2, 4, 1, 3]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [-5, 11, -7, 1]}, 'Classes': [{'RootOf': ['40', '1'], 'ConjugacyClass': 3}, {'RootOf': ['-40', '1'], 'ConjugacyClass': 4}], 'Algorithm': 'RES', 'CycleType': [4]}], 'Frobs': [4, 3, 1, 3, 1, 4, 4, 2, 4, 1, 2, 3, 1, 3, 3, 4, 2, 2, 4, 2, 3, 1, 3, 2, 4, 2, 4, 4, 1, 3, 3, 1, 4, 2, 1, 2, 3, 3, 3, 4, 2, 2, 2, 3, 3, 1, 1, 4, 4, 1, 3, 1, 1, 1, 4, 4, 1, 2, 3, 1, 3, 4, 4, 2, 3, 3, 1, 4, 4, 1, 3, 1, 3, 4, 2, 4, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 4, 2, 4, 4, 1, 3, 1, 2, 4, 1, 1, 3, 2, 4, 3, 3, 2, 1, 4, 4, 3, 1, 1, 3, 4, 4, 2, 2, 1, 3, 3, 4, 2, 2, 3, 3, 3, 1, 2, 1, 1, 3, 4, 2, 4, 2, 3, 1, 2, 4, 4, 3, 2, 1, 2, 4, 4, 1, 1, 4, 4, 2, 4, 3, 1, 3, 3, 4, 2, 1, 2, 4, 2, 4, 3, 3, 1, 4, 4, 2, 3], 'G-Gens': [[3, 1, 4, 2], [4, 3, 2, 1]], 'G-Name': 'C4', 'Polynomial': [20, 0, -10, 0, 1], 'QpRts': [['36400'], ['11344'], ['-11344'], ['-36400']], 'QpRts-minpoly': [-1, 1], 'QpRts-p': 11, 'QpRts-prec': 5, 'Size': 4, 'TransitiveDegree': 4, 'id': 190262}
