{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.19.2t1.a', 'Character': [[1], [-1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.2299.5t2.a', 'Character': [[2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 1], [-1, 0, -1, -1]], 'CharacterField': 5}, {'GalConj': 2, 'Baselabel': '2.2299.5t2.a', 'Character': [[2, 0, 0, 0], [0, 0, 0, 0], [-1, 0, -1, -1], [0, 0, 1, 1]], 'CharacterField': 5}], 'ComplexConjugation': 2, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5]}, {'Size': '5', 'Order': 2, 'Representative': [5, 3, 2, 4, 1]}, {'Size': '2', 'Order': 5, 'Representative': [2, 3, 5, 1, 4]}, {'Size': '2', 'Order': 5, 'Representative': [3, 5, 4, 2, 1]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2]}, {'Data': [2, 3, 4, 5, 1], 'Classes': [{'RootOf': ['147136', '1'], 'ConjugacyClass': 4}, {'RootOf': ['-147136', '1'], 'ConjugacyClass': 3}], 'Algorithm': 'ALT', 'CycleType': [5]}], 'Frobs': [2, 2, 4, 4, 1, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 1, 2, 4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 4, 3, 1, 2, 4, 4, 2, 2, 2, 2, 4, 2, 1, 4, 2, 2, 2, 3, 4, 3, 2, 3, 2, 1, 2, 3, 1, 2, 4, 2, 2, 3, 3, 2, 2, 2, 3, 4, 4, 3, 4, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 4, 2, 4, 4, 4, 4, 3, 2, 4, 4, 1, 2, 2, 2, 3, 2, 4, 2, 2, 4, 1, 1, 3, 2, 2, 2, 3, 1, 3, 1, 2, 3, 1, 3, 2, 2, 2, 2, 2, 4, 3, 4, 4, 3, 4, 4, 2, 2, 1, 1, 4, 2, 2, 2, 4, 2, 3, 4, 2, 2, 2, 3, 2, 3, 2, 2, 1, 4, 2, 2, 2, 4, 3, 3, 2, 4, 2, 3, 2, 2, 2, 2, 4], 'G-Gens': [[4, 5, 3, 1, 2], [5, 3, 2, 4, 1]], 'G-Name': 'D10', 'Polynomial': [-32, 48, 2, -5, -2, 1], 'QpRts': [['-24106397', '-25059235'], ['-3385005', '17187686'], ['-21391686', '-17187686'], ['23272735', '0'], ['25610355', '25059235']], 'QpRts-minpoly': [2, 12, 1], 'QpRts-p': 13, 'QpRts-prec': 7, 'Size': 10, 'TransitiveDegree': 5, 'id': 453909}