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artin_reps • Show schema
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{'BadPrimes': [7, 71], 'Baselabel': '2.35287.14t8.b', 'CharacterField': 7, 'Conductor': 35287, 'Container': '14t8', 'Dets': ['1.497.14t1.a.a', '1.497.14t1.a.b', '1.497.14t1.a.c', '1.497.14t1.a.d', '1.497.14t1.a.e', '1.497.14t1.a.f'], 'Dim': 2, 'GalConjSigns': [0, 0, 0, 0, 0, 0], 'Galn': 14, 'GaloisConjugates': [{'Sign': 0, 'Character': [[2], [0], [0, 0, 0, 0, 2], [0, 2], [0, 0, 0, 0, 0, 2], [0, 0, 2], [-2, -2, -2, -2, -2, -2], [0, 0, 0, 2], [0, 1, 0, 0, 0, 1], [0, 0, 1, 1], [0, 1, 0, 1], [-1, -1, -1, -1, 0, -1], [0, 0, 0, 0, 1, 1], [-1, -1, 0, -1, -1, -1], [0, 0, 1, 0, 1], [0, 1, 0, 0, 1], [-1, -1, -1, -1, -1], [0, 1, 1], [-1, -1, -1, 0, -1, -1], [0, 0, 0, 1, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1], [1, 0, 0, 0, 1], [1, 1], [1, 0, 0, 0, 0, 1], [1, 0, 1], [0, -1, -1, -1, -1, -1], [1, 0, 0, 1], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [12, 2, 36, 26, 34, 11, 15, 14, 37, 13, 29, 1, 6, 10, 33, 13, 1, 7, 22, 32, 30], 'LocalFactors': [[[1], 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[[1], [0], [-1]], [[1], [0, 0, 0, 0, 0, -2], [0, 0, 0, 1]], [[1], [0, 0, 0, -2], [-1, -1, -1, -1, -1, -1]], [[1], [0, -2], [0, 0, 1]], [[1], [2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, -2], [0, 1]], [[1], [0, 0, -2], [0, 0, 0, 0, 1]], [[1], [0, -1, 0, -1], [0, 0, 0, 0, 1]], [[1], [1, 1, 0, 1, 1, 1], [0, 1]], [[1], [0, 0, -1, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, -1, -1], [0, 0, 1]], [[1], [0, -1, 0, 0, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [1, 1, 1, 1, 0, 1], [0, 0, 0, 1]], [[1], [1, 1, 1, 1, 1], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, -1, 0, -1], [0, 1]], [[1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [1, 1, 1, 0, 1, 1], [0, 0, 1]], [[1], [0, 0, -1, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [0, -1, -1], [0, 0, 0, 1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [1, 0, 1, 1, 1, 1], [1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [-1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [-1, 0, 0, -1], [0, 0, 0, 1]], [[1], [-1, -1], [0, 1]], [[1], [0, 1, 1, 1, 1, 1], [-1, -1, -1, -1, -1, -1]], [[1], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 1]], [[1], [-1, 0, -1], [0, 0, 1]], [[1], [0], [0, 0, 0, 0, 0, -1]], [[1], [0], [0, -1]], [[1], [0], [0, 0, 0, 0, -1]], [[1], [0], [0, 0, 0, -1]], [[1], [0], [1, 1, 1, 1, 1, 1]], [[1], [0], [0, 0, -1]], [[1], [1, 1, 1, 1, 1, 1]], [[1]]]}, {'Sign': 0, 'Character': [[2], [0], [0, 0, 0, 2], [-2, -2, -2, -2, -2, -2], [0, 0, 2], [0, 0, 0, 0, 0, 2], [0, 2], [0, 0, 0, 0, 2], [-1, -1, 0, -1, -1, -1], [0, 0, 0, 0, 1, 1], [-1, -1, -1, -1, 0, -1], [0, 1, 0, 1], [0, 0, 1, 1], [0, 1, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1], [-1, -1, -1, 0, -1, -1], [0, 1, 1], [-1, -1, -1, -1, -1], [0, 1, 0, 0, 1], [0, 0, 1, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1], [1, 0, 0, 1], [0, -1, -1, -1, -1, -1], [1, 0, 1], [1, 0, 0, 0, 0, 1], [1, 1], [1, 0, 0, 0, 1], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 3, 'HardFactors': [12, 2, 36, 26, 34, 11, 15, 14, 37, 13, 29, 1, 6, 10, 33, 13, 1, 7, 22, 32, 30], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [0, 0, 0, -2], [-1, -1, -1, -1, -1, -1]], [[1], [2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, -2], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, 0, -2], [0, 0, 0, 1]], [[1], [0, -2], [0, 0, 1]], [[1], [0, 0, 0, 0, -2], [0, 1]], [[1], [1, 1, 0, 1, 1, 1], [0, 1]], [[1], [0, 0, 0, 0, -1, -1], [0, 0, 1]], [[1], [1, 1, 1, 1, 0, 1], [0, 0, 0, 1]], [[1], [0, -1, 0, -1], [0, 0, 0, 0, 1]], [[1], [0, 0, -1, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, -1, 0, 0, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, -1, 0, -1], [0, 1]], [[1], [1, 1, 1, 0, 1, 1], [0, 0, 1]], [[1], [0, -1, -1], [0, 0, 0, 1]], [[1], [1, 1, 1, 1, 1], [0, 0, 0, 0, 1]], [[1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, -1, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [1, 0, 1, 1, 1, 1], [1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [-1, 0, 0, -1], [0, 0, 0, 1]], [[1], [0, 1, 1, 1, 1, 1], [-1, -1, -1, -1, -1, -1]], [[1], [-1, 0, -1], [0, 0, 1]], [[1], [-1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [-1, -1], [0, 1]], [[1], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 1]], [[1], [0], [0, 0, 0, -1]], [[1], [0], [0, 0, -1]], [[1], [0], [0, -1]], [[1], [0], [1, 1, 1, 1, 1, 1]], [[1], [0], [0, 0, 0, 0, 0, -1]], [[1], [0], [0, 0, 0, 0, -1]], [[1], [0, 0, 0, 0, 0, -1]], [[1]]]}, {'Sign': 0, 'Character': [[2], [0], [0, 2], [0, 0, 2], [0, 0, 0, 2], [0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 2], [-2, -2, -2, -2, -2, -2], [0, 0, 1, 1], [-1, -1, -1, -1, 0, -1], [-1, -1, 0, -1, -1, -1], [0, 1, 0, 0, 0, 1], [0, 1, 0, 1], [0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1], [0, 1, 1], [0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1], [-1, -1, -1, -1, -1], [-1, -1, -1, 0, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1], [-1, 0, -1, -1, -1, -1], [1, 1], [1, 0, 1], [1, 0, 0, 1], [1, 0, 0, 0, 1], [1, 0, 0, 0, 0, 1], [0, -1, -1, -1, -1, -1], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 4, 'HardFactors': [12, 2, 36, 26, 34, 11, 15, 14, 37, 13, 29, 1, 6, 10, 33, 13, 1, 7, 22, 32, 30], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], 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2, 2, 2, 2], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, 0, -2], [0, 0, 0, 1]], [[1], [0, 0, 0, 0, -2], [0, 1]], [[1], [0, 0, 0, -2], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, -2], [0, 0, 0, 0, 1]], [[1], [0, -2], [0, 0, 1]], [[1], [0, 0, 0, 0, -1, -1], [0, 0, 1]], [[1], [0, -1, 0, -1], [0, 0, 0, 0, 1]], [[1], [0, -1, 0, 0, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [1, 1, 0, 1, 1, 1], [0, 1]], [[1], [1, 1, 1, 1, 0, 1], [0, 0, 0, 1]], [[1], [0, 0, -1, -1], [0, 0, 0, 0, 0, 1]], [[1], [1, 1, 1, 0, 1, 1], [0, 0, 1]], [[1], [1, 1, 1, 1, 1], [0, 0, 0, 0, 1]], [[1], [0, 0, -1, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, -1, 0, -1], [0, 1]], [[1], [0, -1, -1], [0, 0, 0, 1]], [[1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [1, 0, 1, 1, 1, 1], [1]], [[1], [0, 1, 1, 1, 1, 1], [-1, -1, -1, -1, -1, -1]], [[1], [-1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 1]], [[1], [-1, 0, 0, -1], [0, 0, 0, 1]], [[1], [-1, 0, -1], [0, 0, 1]], [[1], [-1, -1], [0, 1]], [[1], [0], [1, 1, 1, 1, 1, 1]], [[1], [0], [0, 0, 0, 0, -1]], [[1], [0], [0, 0, -1]], [[1], [0], [0, 0, 0, 0, 0, -1]], [[1], [0], [0, 0, 0, -1]], [[1], [0], [0, -1]], [[1], [0, 0, 0, -1]], [[1]]]}, {'Sign': 0, 'Character': [[2], [0], [0, 0, 2], [0, 0, 0, 0, 2], [-2, -2, -2, -2, -2, -2], [0, 2], [0, 0, 0, 2], [0, 0, 0, 0, 0, 2], [-1, -1, -1, -1, 0, -1], [0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1], [0, 0, 1, 1], [-1, -1, 0, -1, -1, -1], [0, 1, 0, 1], [0, 1, 1], [0, 0, 1, 0, 1], [-1, -1, -1, 0, -1, -1], [0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 1], [-1, -1, -1, -1, -1], [0, 0, 0, 1, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [1, 0, 1], [1, 0, 0, 0, 1], [0, -1, -1, -1, -1, -1], [1, 1], [1, 0, 0, 1], [1, 0, 0, 0, 0, 1], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 6, 'HardFactors': [12, 2, 36, 26, 34, 11, 15, 14, 37, 13, 29, 1, 6, 10, 33, 13, 1, 7, 22, 32, 30], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [0, 0, -2], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, -2], [0, 1]], [[1], [2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1]], [[1], [0, -2], [0, 0, 1]], [[1], [0, 0, 0, -2], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, 0, 0, -2], [0, 0, 0, 1]], [[1], [1, 1, 1, 1, 0, 1], [0, 0, 0, 1]], [[1], [0, -1, 0, 0, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, 0, -1, -1], [0, 0, 1]], [[1], [0, 0, -1, -1], [0, 0, 0, 0, 0, 1]], [[1], [1, 1, 0, 1, 1, 1], [0, 1]], [[1], [0, -1, 0, -1], [0, 0, 0, 0, 1]], [[1], [0, -1, -1], [0, 0, 0, 1]], [[1], [0, 0, -1, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [1, 1, 1, 0, 1, 1], [0, 0, 1]], [[1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, -1, 0, -1], [0, 1]], [[1], [1, 1, 1, 1, 1], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [1, 0, 1, 1, 1, 1], [1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [-1, 0, -1], [0, 0, 1]], [[1], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 1]], [[1], [0, 1, 1, 1, 1, 1], [-1, -1, -1, -1, -1, -1]], [[1], [-1, -1], [0, 1]], [[1], [-1, 0, 0, -1], [0, 0, 0, 1]], [[1], 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{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.7.2t1.a', 'Character': [[1], [-1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [-1], [-1], [-1], [-1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 5, 'Baselabel': '1.497.14t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0], [-1, -1, -1, -1, -1, -1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0], [-1, -1, -1, -1, -1, -1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1], [0, 0, 0, 0, -1, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, -1], [0, 0, 0, -1, 0, 0], [0, -1, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 3, 'Baselabel': '1.71.7t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0], 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'Character': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0], [-1, -1, -1, -1, -1, -1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1]], 'CharacterField': 7}, {'GalConj': 2, 'Baselabel': '1.497.14t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 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1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0]], 'CharacterField': 7}, {'GalConj': 1, 'Baselabel': '1.71.7t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0]], 'CharacterField': 7}, {'GalConj': 1, 'Baselabel': '1.497.14t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1], [1, 1, 1, 1, 1, 1], [0, -1, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0]], 'CharacterField': 7}, {'GalConj': 3, 'Baselabel': '1.497.14t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, -1, 0, 0], [0, 0, -1, 0, 0, 0], [0, -1, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, -1], [0, 0, 0, 0, -1, 0]], 'CharacterField': 7}, {'GalConj': 5, 'Baselabel': '1.71.7t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0], [-1, -1, 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0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [0, -1, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, -1], [0, 0, -1, 0, 0, 0], [0, 0, 0, 0, -1, 0], [1, 1, 1, 1, 1, 1]], 'CharacterField': 7}, {'GalConj': 2, 'Baselabel': '2.35287.7t2.a', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [-1, 0, -1, -1, -1, -1], [0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], 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1], [-1, -1, -1, -1, 0, -1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0], [-1, -1, -1, -1, -1, 0], [-1, -1, -1, 0, -1, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 6, 'Baselabel': '2.35287.14t8.a', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 2, 0], [-2, -2, -2, -2, -2, -2], [0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 2], [1, 0, 0, 1, 0, 0], [0, -1, -1, -1, -1, -1], [1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0], [-1, -1, -1, -1, 0, -1], [0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 0], [-1, -1, 0, -1, -1, -1], [0, 1, 0, 1, 0, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, -1, -1, 0, -1, -1], [-1, -1, -1, -1, -1, 0], [0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1], [0, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 4, 'Baselabel': '2.35287.14t8.b', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2], [-2, -2, -2, -2, -2, -2], [0, 0, 1, 1, 0, 0], [-1, -1, -1, -1, 0, -1], [-1, -1, 0, -1, -1, -1], [0, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0], [-1, -1, -1, -1, -1, 0], [-1, -1, -1, 0, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [1, 1, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0], [1, 0, 0, 1, 0, 0], [1, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 1], [0, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 1, 'Baselabel': '2.35287.7t2.a', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 1, 'Baselabel': '2.497.14t8.a', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2], [0, 0, 2, 0, 0, 0], [-2, -2, -2, -2, -2, -2], [0, 0, 0, 2, 0, 0], [0, 0, 1, 0, 1, 0], [0, 1, 0, 0, 1, 0], [-1, -1, -1, -1, -1, 0], [0, 1, 1, 0, 0, 0], [-1, -1, -1, 0, -1, -1], [0, 0, 0, 1, 0, 1], [0, -1, -1, -1, -1, -1], [1, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0], [1, 0, 1, 0, 0, 0], [1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 1, 0, 1, 0, 0], [-1, -1, 0, -1, -1, -1], [0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 0, 1], [-1, -1, -1, -1, 0, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 4, 'Baselabel': '2.35287.14t8.a', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2], [-2, -2, -2, -2, -2, -2], [1, 0, 0, 0, 0, 1], [1, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 0], [0, -1, -1, -1, -1, -1], [1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 0], [-1, -1, -1, -1, 0, -1], [-1, -1, 0, -1, -1, -1], [0, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 1], [-1, -1, -1, 0, -1, -1], [0, 1, 1, 0, 0, 0], [-1, -1, -1, -1, -1, 0], [0, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}], 'ComplexConjugation': 2, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]}, {'Size': '7', 'Order': 2, 'Representative': [6, 14, 5, 13, 3, 1, 12, 10, 11, 8, 9, 7, 4, 2]}, {'Size': '1', 'Order': 7, 'Representative': [5, 10, 7, 1, 12, 3, 11, 4, 14, 13, 2, 9, 6, 8]}, {'Size': '1', 'Order': 7, 'Representative': [12, 13, 11, 5, 9, 7, 2, 1, 8, 6, 10, 14, 3, 4]}, {'Size': '1', 'Order': 7, 'Representative': [9, 6, 2, 12, 14, 11, 10, 5, 4, 3, 13, 8, 7, 1]}, {'Size': '1', 'Order': 7, 'Representative': [14, 3, 10, 9, 8, 2, 13, 12, 1, 7, 6, 4, 11, 5]}, {'Size': '1', 'Order': 7, 'Representative': [8, 7, 13, 14, 4, 10, 6, 9, 5, 11, 3, 1, 2, 12]}, {'Size': '1', 'Order': 7, 'Representative': [4, 11, 6, 8, 1, 13, 3, 14, 12, 2, 7, 5, 10, 9]}, {'Size': '2', 'Order': 7, 'Representative': [5, 3, 10, 1, 12, 2, 13, 4, 14, 7, 6, 9, 11, 8]}, {'Size': '2', 'Order': 7, 'Representative': [12, 10, 7, 5, 9, 3, 11, 1, 8, 13, 2, 14, 6, 4]}, {'Size': '2', 'Order': 7, 'Representative': [9, 7, 13, 12, 14, 10, 6, 5, 4, 11, 3, 8, 2, 1]}, {'Size': '2', 'Order': 7, 'Representative': [14, 13, 11, 9, 8, 7, 2, 12, 1, 6, 10, 4, 3, 5]}, {'Size': '2', 'Order': 7, 'Representative': [8, 11, 6, 14, 4, 13, 3, 9, 5, 2, 7, 1, 10, 12]}, {'Size': '2', 'Order': 7, 'Representative': [4, 6, 2, 8, 1, 11, 10, 14, 12, 3, 13, 5, 7, 9]}, {'Size': '2', 'Order': 7, 'Representative': [1, 7, 13, 4, 5, 10, 6, 8, 9, 11, 3, 12, 2, 14]}, {'Size': '2', 'Order': 7, 'Representative': [1, 6, 2, 4, 5, 11, 10, 8, 9, 3, 13, 12, 7, 14]}, {'Size': '2', 'Order': 7, 'Representative': [1, 10, 7, 4, 5, 3, 11, 8, 9, 13, 2, 12, 6, 14]}, {'Size': '2', 'Order': 7, 'Representative': [1, 11, 6, 4, 5, 13, 3, 8, 9, 2, 7, 12, 10, 14]}, {'Size': '2', 'Order': 7, 'Representative': [1, 3, 10, 4, 5, 2, 13, 8, 9, 7, 6, 12, 11, 14]}, {'Size': '2', 'Order': 7, 'Representative': [1, 13, 11, 4, 5, 7, 2, 8, 9, 6, 10, 12, 3, 14]}, {'Size': '2', 'Order': 7, 'Representative': [4, 10, 7, 8, 1, 3, 11, 14, 12, 13, 2, 5, 6, 9]}, {'Size': '2', 'Order': 7, 'Representative': [8, 13, 11, 14, 4, 7, 2, 9, 5, 6, 10, 1, 3, 12]}, {'Size': '2', 'Order': 7, 'Representative': [14, 6, 2, 9, 8, 11, 10, 12, 1, 3, 13, 4, 7, 5]}, {'Size': '2', 'Order': 7, 'Representative': [12, 11, 6, 5, 9, 13, 3, 1, 8, 2, 7, 14, 10, 4]}, {'Size': '2', 'Order': 7, 'Representative': [14, 7, 13, 9, 8, 10, 6, 12, 1, 11, 3, 4, 2, 5]}, {'Size': '2', 'Order': 7, 'Representative': [4, 3, 10, 8, 1, 2, 13, 14, 12, 7, 6, 5, 11, 9]}, {'Size': '2', 'Order': 7, 'Representative': [5, 6, 2, 1, 12, 11, 10, 4, 14, 3, 13, 9, 7, 8]}, {'Size': '2', 'Order': 7, 'Representative': [9, 13, 11, 12, 14, 7, 2, 5, 4, 6, 10, 8, 3, 1]}, {'Size': '2', 'Order': 7, 'Representative': [8, 10, 7, 14, 4, 3, 11, 9, 5, 13, 2, 1, 6, 12]}, {'Size': '7', 'Order': 14, 'Representative': [2, 5, 8, 11, 10, 14, 4, 7, 6, 12, 1, 13, 9, 3]}, {'Size': '7', 'Order': 14, 'Representative': [10, 12, 4, 2, 13, 8, 1, 11, 3, 9, 5, 6, 14, 7]}, {'Size': '7', 'Order': 14, 'Representative': [13, 9, 1, 10, 6, 4, 5, 2, 7, 14, 12, 3, 8, 11]}, {'Size': '7', 'Order': 14, 'Representative': [3, 8, 12, 6, 7, 5, 9, 13, 2, 4, 14, 11, 1, 10]}, {'Size': '7', 'Order': 14, 'Representative': [7, 4, 9, 3, 11, 12, 14, 6, 10, 1, 8, 2, 5, 13]}, {'Size': '7', 'Order': 14, 'Representative': [11, 1, 14, 7, 2, 9, 8, 3, 13, 5, 4, 10, 12, 6]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': {'Powers': [1], 'Resolvent': [-5, 11, -7, 1]}, 'Classes': [{'RootOf': ['2849', '98', '1'], 'ConjugacyClass': 15}, {'RootOf': ['12506', '221', '1'], 'ConjugacyClass': 16}, {'RootOf': ['23108', '68', '1'], 'ConjugacyClass': 17}, {'RootOf': ['6493', '158', '1'], 'ConjugacyClass': 18}, {'RootOf': ['30339', '348', '1'], 'ConjugacyClass': 19}, {'RootOf': ['27724', '333', '1'], 'ConjugacyClass': 20}], 'Algorithm': 'RES', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 7]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2, 2, 2, 2, 2, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [-5, 11, -7, 1]}, 'Classes': [{'RootOf': ['-130', '1'], 'ConjugacyClass': 3}, {'RootOf': ['135', '1'], 'ConjugacyClass': 4}, {'RootOf': ['23', '1'], 'ConjugacyClass': 5}, {'RootOf': ['150', '1'], 'ConjugacyClass': 6}, {'RootOf': ['-100', '1'], 'ConjugacyClass': 7}, {'RootOf': ['-40', '1'], 'ConjugacyClass': 8}, {'RootOf': ['19763', '20', '1'], 'ConjugacyClass': 9}, {'RootOf': ['22352', '5', '1'], 'ConjugacyClass': 10}, {'RootOf': ['2954', '-77', '1'], 'ConjugacyClass': 11}, {'RootOf': ['20392', '285', '1'], 'ConjugacyClass': 12}, {'RootOf': ['6272', '-140', '1'], 'ConjugacyClass': 13}, {'RootOf': ['74', '-17', '1'], 'ConjugacyClass': 14}, {'RootOf': ['24725', '-170', '1'], 'ConjugacyClass': 21}, {'RootOf': ['700', '35', '1'], 'ConjugacyClass': 22}, {'RootOf': ['7568', '173', '1'], 'ConjugacyClass': 23}, {'RootOf': ['2552', '95', '1'], 'ConjugacyClass': 24}, {'RootOf': ['1472', '50', '1'], 'ConjugacyClass': 25}, {'RootOf': ['3088', '110', '1'], 'ConjugacyClass': 26}, {'RootOf': ['20014', '-107', '1'], 'ConjugacyClass': 27}, {'RootOf': ['6584', '158', '1'], 'ConjugacyClass': 28}, {'RootOf': ['41897', '-230', '1'], 'ConjugacyClass': 29}], 'Algorithm': 'RES', 'CycleType': [7, 7]}, {'Data': {'Powers': [1], 'Resolvent': [1, -3, 1]}, 'Classes': [{'RootOf': ['700149051', '73909040', '7056384', '757166', '52257', '2709', '83', '1'], 'ConjugacyClass': 30}, {'RootOf': ['-11026335909', '599073533', '-29327992', '997856', '40471', '2638', '83', '1'], 'ConjugacyClass': 31}, {'RootOf': ['2994939', '11885712', '-1318279', '26221', '19455', '2283', '83', '1'], 'ConjugacyClass': 32}, {'RootOf': ['-490512855', '-67262461', '-12188734', '-292285', '-45794', '934', '83', '1'], 'ConjugacyClass': 33}, {'RootOf': ['9409160565', '493114979', '8755698', '2702921', '52470', '1644', '83', '1'], 'ConjugacyClass': 34}, {'RootOf': ['4077242183', '826971747', '35676981', '182776', '-23571', '2141', '83', '1'], 'ConjugacyClass': 35}], 'Algorithm': 'RES', 'CycleType': [14]}], 'Frobs': [12, 32, 2, 30, 26, 34, 2, 33, 11, 15, 34, 12, 34, 18, 33, 14, 31, 35, 28, 16, 35, 13, 31, 33, 31, 34, 33, 24, 17, 9, 28, 31, 21, 32, 17, 7, 32, 18, 2, 34, 29, 33, 3, 9, 7, 2, 18, 35, 2, 31, 8, 10, 35, 30, 30, 12, 32, 34, 24, 28, 2, 31, 30, 30, 32, 17, 14, 20, 19, 34, 35, 28, 31, 14, 14, 35, 29, 32, 22, 2, 30, 21, 22, 30, 34, 1, 6, 13, 30, 29, 34, 33, 29, 19, 12, 34, 31, 33, 31, 6, 18, 10, 2, 22, 15, 31, 33, 2, 19, 30, 33, 7, 25, 32, 27, 5, 32, 34, 23, 28, 33, 12, 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1], 'QpRts-p': 23, 'QpRts-prec': 15, 'Size': 98, 'TransitiveDegree': 14}