{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.3.2t1.a', 'Character': [[1], [1], [-1], [1], [1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.972.3t2.d', 'Character': [[2], [2], [0], [-1], [2], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.1944.24t22.b', 'Character': [[2, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, -1, 0, -1], [0, 1, 0, 1]], 'CharacterField': 8}, {'GalConj': 2, 'Baselabel': '2.1944.24t22.b', 'Character': [[2, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 1, 0, 1], [0, -1, 0, -1]], 'CharacterField': 8}, {'GalConj': 1, 'Baselabel': '3.11664.6t8.b', 'Character': [[3], [3], [-1], [0], [-1], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.3888.4t5.b', 'Character': [[3], [3], [1], [0], [-1], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '4.46656.8t23.b', 'Character': [[4], [-4], [0], [1], [0], [-1], [0], [0]], 'CharacterField': 1}], 'ComplexConjugation': 3, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8]}, {'Size': '1', 'Order': 2, 'Representative': [8, 7, 6, 5, 4, 3, 2, 1]}, {'Size': '12', 'Order': 2, 'Representative': [8, 6, 7, 4, 5, 2, 3, 1]}, {'Size': '8', 'Order': 3, 'Representative': [1, 4, 7, 6, 3, 2, 5, 8]}, {'Size': '6', 'Order': 4, 'Representative': [3, 4, 8, 7, 2, 1, 5, 6]}, {'Size': '8', 'Order': 6, 'Representative': [7, 6, 8, 5, 4, 1, 3, 2]}, {'Size': '6', 'Order': 8, 'Representative': [7, 4, 1, 3, 6, 8, 5, 2]}, {'Size': '6', 'Order': 8, 'Representative': [2, 5, 8, 6, 3, 1, 4, 7]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 3, 'Algorithm': 'CYC', 'CycleType': [1, 1, 2, 2, 2]}, {'Data': 0, 'Classes': 4, 'Algorithm': 'CYC', 'CycleType': [1, 1, 3, 3]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2, 2, 2, 2]}, {'Data': 0, 'Classes': 6, 'Algorithm': 'CYC', 'CycleType': [2, 6]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [4, 4]}, {'Data': {'Powers': [1, 3], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['296', '12', '6', '1'], 'ConjugacyClass': 7}, {'RootOf': ['-280', '12', '6', '1'], 'ConjugacyClass': 8}], 'Algorithm': 'RES', 'CycleType': [8]}], 'Frobs': [3, 3, 8, 5, 8, 6, 7, 4, 8, 3, 4, 5, 3, 6, 3, 8, 8, 6, 4, 7, 6, 6, 7, 3, 4, 3, 6, 3, 6, 3, 6, 7, 3, 5, 7, 4, 6, 5, 3, 3, 3, 5, 3, 4, 3, 6, 6, 6, 3, 6, 8, 7, 5, 7, 7, 8, 7, 4, 6, 7, 4, 3, 5, 3, 5, 3, 4, 5, 3, 5, 7, 3, 6, 4, 1, 3, 8, 4, 3, 5, 3, 1, 7, 6, 5, 7, 8, 4, 8, 4, 3, 7, 6, 3, 5, 3, 3, 7, 6, 5, 4, 8, 8, 8, 5, 4, 8, 8, 3, 6, 1, 4, 3, 6, 2, 8, 5, 7, 3, 3, 4, 6, 8, 8, 4, 3, 4, 8, 5, 4, 4, 8, 5, 4, 7, 4, 3, 6, 8, 7, 6, 3, 4, 7, 6, 3, 4, 3, 5, 8, 5, 7, 4, 7, 6, 8, 2, 7, 5, 3, 3, 3, 4, 3, 3, 3, 6, 2], 'G-Gens': [[2, 3, 1, 4, 5, 8, 6, 7], [8, 7, 6, 5, 4, 3, 2, 1], [4, 6, 2, 8, 1, 7, 3, 5], [3, 4, 8, 7, 2, 1, 5, 6], [8, 6, 7, 4, 5, 2, 3, 1]], 'G-Name': 'GL2(F3)', 'Polynomial': [1, 0, -2, -2, 0, -2, -2, 0, 1], 'QpRts': [['255842318', '139735265'], ['30360140', '105307618'], ['-41793001', '-21660437'], ['62107927', '0'], ['51665295', '0'], ['-117729408', '-105307618'], ['-116765834', '21660437'], ['-123687437', '-139735265']], 'QpRts-minpoly': [2, 24, 1], 'QpRts-p': 29, 'QpRts-prec': 6, 'Size': 48, 'TransitiveDegree': 8, 'id': 546703}
