{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.1649.2t1.a', 'Character': [[1], [-1], [1], [1], [-1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '4.4483962449.10t12.a', 'Character': [[4], [-2], [0], [1], [0], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '4.1649.5t5.a', 'Character': [[4], [2], [0], [1], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '5.2719201.10t13.a', 'Character': [[5], [1], [1], [-1], [-1], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '5.4483962449.6t14.a', 'Character': [[5], [-1], [1], [-1], [1], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.4483962449.20t30.a', 'Character': [[6], [0], [-2], [0], [0], [1], [0]], 'CharacterField': 1}], 'ComplexConjugation': 3, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5]}, {'Size': '10', 'Order': 2, 'Representative': [2, 1, 3, 4, 5]}, {'Size': '15', 'Order': 2, 'Representative': [2, 1, 4, 3, 5]}, {'Size': '20', 'Order': 3, 'Representative': [2, 3, 1, 4, 5]}, {'Size': '30', 'Order': 4, 'Representative': [2, 3, 4, 1, 5]}, {'Size': '24', 'Order': 5, 'Representative': [2, 3, 4, 5, 1]}, {'Size': '20', 'Order': 6, 'Representative': [2, 3, 1, 5, 4]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 2]}, {'Data': 0, 'Classes': 4, 'Algorithm': 'CYC', 'CycleType': [1, 1, 3]}, {'Data': 0, 'Classes': 3, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [1, 4]}, {'Data': 0, 'Classes': 7, 'Algorithm': 'CYC', 'CycleType': [2, 3]}, {'Data': 0, 'Classes': 6, 'Algorithm': 'CYC', 'CycleType': [5]}], 'Frobs': [6, 7, 6, 6, 5, 5, 4, 5, 4, 6, 7, 6, 4, 3, 6, 4, 7, 5, 5, 3, 5, 5, 5, 6, 2, 6, 4, 4, 5, 5, 5, 3, 5, 3, 5, 4, 7, 5, 2, 3, 2, 4, 3, 7, 5, 3, 6, 7, 7, 3, 6, 2, 5, 7, 7, 7, 7, 5, 6, 7, 5, 6, 6, 4, 2, 4, 5, 6, 3, 7, 3, 7, 3, 5, 7, 5, 4, 2, 6, 5, 5, 3, 5, 2, 6, 5, 5, 5, 4, 6, 4, 5, 5, 6, 1, 5, 4, 5, 7, 3, 2, 4, 5, 7, 5, 7, 7, 6, 5, 3, 5, 4, 5, 4, 4, 4, 7, 4, 6, 7, 6, 5, 7, 5, 7, 6, 4, 4, 4, 4, 2, 7, 5, 7, 5, 5, 4, 2, 2, 5, 7, 4, 2, 6, 1, 6, 6, 5, 5, 5, 7, 7, 7, 6, 6, 6, 5, 3, 6, 6, 4, 7, 6, 6, 5, 4, 6, 7], 'G-Gens': [[2, 1, 3, 4, 5], [2, 3, 4, 5, 1]], 'G-Name': 'S5', 'Polynomial': [1, -1, 1, 0, -1, 1], 'QpRts': [['-7619118671486'], ['5255542727369'], ['10744454466784'], ['18759520950'], ['-8399638043616']], 'QpRts-minpoly': [-1, 1], 'QpRts-p': 499, 'QpRts-prec': 5, 'Size': 120, 'TransitiveDegree': 5, 'id': 586804}
