{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.15.2t1.a', 'Character': [[1], [-1], [1], [1], [1], [1], [1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.135.3t2.b', 'Character': [[2], [0], [2], [2], [-1], [-1], [2], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.1815.3t2.a', 'Character': [[2], [0], [2], [2], [2], [-1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.16335.3t2.a', 'Character': [[2], [0], [2], [2], [-1], [-1], [-1], [2], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.16335.3t2.b', 'Character': [[2], [0], [2], [2], [-1], [2], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.16335.9t12.d', 'Character': [[3, 0], [1, 0], [0, 3], [-3, -3], [0, 0], [0, 0], [0, 0], [0, 0], [0, 1], [-1, -1]], 'CharacterField': 3}, {'GalConj': 2, 'Baselabel': '3.16335.9t12.d', 'Character': [[3, 0], [1, 0], [-3, -3], [0, 3], [0, 0], [0, 0], [0, 0], [0, 0], [-1, -1], [0, 1]], 'CharacterField': 3}, {'GalConj': 1, 'Baselabel': '3.245025.18t24.g', 'Character': [[3, 0], [-1, 0], [-3, -3], [0, 3], [0, 0], [0, 0], [0, 0], [0, 0], [1, 1], [0, -1]], 'CharacterField': 3}, {'GalConj': 2, 'Baselabel': '3.245025.18t24.g', 'Character': [[3, 0], [-1, 0], [0, 3], [-3, -3], [0, 0], [0, 0], [0, 0], [0, 0], [0, -1], [1, 1]], 'CharacterField': 3}], 'ComplexConjugation': 2, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8, 9]}, {'Size': '9', 'Order': 2, 'Representative': [1, 3, 2, 9, 6, 5, 7, 8, 4]}, {'Size': '1', 'Order': 3, 'Representative': [7, 6, 5, 2, 9, 4, 8, 1, 3]}, {'Size': '1', 'Order': 3, 'Representative': [8, 4, 9, 6, 3, 2, 1, 7, 5]}, {'Size': '6', 'Order': 3, 'Representative': [4, 3, 7, 9, 8, 5, 2, 6, 1]}, {'Size': '6', 'Order': 3, 'Representative': [6, 5, 7, 3, 8, 9, 4, 2, 1]}, {'Size': '6', 'Order': 3, 'Representative': [1, 4, 5, 6, 9, 2, 7, 8, 3]}, {'Size': '6', 'Order': 3, 'Representative': [9, 1, 6, 8, 4, 7, 3, 5, 2]}, {'Size': '9', 'Order': 6, 'Representative': [7, 5, 6, 3, 4, 9, 8, 1, 2]}, {'Size': '9', 'Order': 6, 'Representative': [8, 9, 4, 5, 2, 3, 1, 7, 6]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 2, 2, 2]}, {'Data': 0, 'Classes': 7, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 3, 3]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-24', '1'], 'ConjugacyClass': 3}, {'RootOf': ['21', '1'], 'ConjugacyClass': 4}, {'RootOf': ['13616991', '3611223', '356643', '12771', '423', '33', '1'], 'ConjugacyClass': 5}, {'RootOf': ['8634211', '163053', '90399', '4609', '819', '33', '1'], 'ConjugacyClass': 6}, {'RootOf': ['67840', '47520', '14664', '3124', '522', '33', '1'], 'ConjugacyClass': 8}], 'Algorithm': 'RES', 'CycleType': [3, 3, 3]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-33900889149', '8815221576', '-1649635290', '204682795', '-15480207', '698763', '-18575', '630', '-39', '1'], 'ConjugacyClass': 9}, {'RootOf': ['7971132915', '817256925', '-169922484', '-15640193', '4538745', '980211', '84583', '3906', '96', '1'], 'ConjugacyClass': 10}], 'Algorithm': 'RES', 'CycleType': [3, 6]}], 'Frobs': [8, 3, 9, 9, 2, 2, 6, 5, 6, 9, 6, 10, 10, 10, 7, 8, 9, 6, 10, 2, 10, 8, 5, 10, 9, 2, 2, 7, 5, 7, 10, 9, 6, 7, 9, 7, 9, 9, 8, 5, 9, 5, 10, 10, 5, 7, 6, 2, 6, 6, 7, 10, 8, 2, 8, 7, 9, 6, 9, 9, 2, 6, 10, 9, 9, 8, 7, 9, 7, 8, 7, 10, 9, 10, 8, 5, 9, 9, 10, 8, 10, 8, 10, 9, 8, 5, 9, 2, 2, 10, 8, 9, 2, 10, 5, 6, 9, 10, 10, 3, 10, 7, 1, 9, 6, 9, 8, 5, 9, 5, 9, 9, 5, 1, 6, 10, 9, 8, 5, 10, 1, 10, 4, 5, 8, 9, 7, 2, 10, 2, 8, 7, 6, 2, 10, 6, 6, 2, 5, 10, 7, 2, 10, 5, 7, 2, 2, 6, 5, 5, 2, 9, 10, 5, 2, 10, 1, 9, 9, 2, 8, 3, 2, 9, 7, 6, 8, 10], 'G-Gens': [[7, 6, 5, 2, 9, 4, 8, 1, 3], [4, 3, 7, 9, 8, 5, 2, 6, 1], [1, 3, 2, 9, 6, 5, 7, 8, 4], [1, 4, 5, 6, 9, 2, 7, 8, 3]], 'G-Name': 'He3:C2', 'Polynomial': [13, 12, -15, -24, 12, 12, -10, -9, 0, 1], 'QpRts': [['-103968135640915362355770', '36068759381144205133765', '121261036966192094413485'], ['-84092277848052993996312', '-113516727996788288386842', '-114520356706429852372593'], ['-57324439351233399752383', '0', '0'], ['63469826239142020137597', '-62224335440812285302995', '87594188431001359361546'], ['46867591222520050438165', '0', '0'], ['-57866214072003712563401', '-80925922750066835644532', '26926168275428493011047'], ['101878619798925941114154', '883114375823823394190', '-32482571501554663185922'], ['-10713168127239594969128', '-36951873756968028527955', '-88778465464637431227563'], ['101748197778857051947078', '0', '0']], 'QpRts-minpoly': [42, 3, 0, 1], 'QpRts-p': 47, 'QpRts-prec': 14, 'Size': 54, 'TransitiveDegree': 9, 'id': 548457}
