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artin_reps • Show schema
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{'BadPrimes': [3, 229], 'Baselabel': '8.76642197897135986361.24t2893.a', 'CharacterField': 1, 'Conductor': 76642197897135986361, 'Container': '24t2893', 'Dets': ['1.1.1t1.a.a'], 'Dim': 8, 'GalConjSigns': [1], 'Galn': 9, 'GaloisConjugates': [{'Sign': 1, 'Character': [[8], [0], [-4], [0], [0], [0], [-4], [-1], [2], [2], [0], [0], [2], [2], [0], [0], [0], [-1], [0], [0], [-1], [0]], 'GalOrbIndex': 1, 'HardFactors': [23, 24], 'LocalFactors': [[[1], [-8], [28], [-56], [70], [-56], [28], [-8], [1]], [[1], [0], [-4], [0], [6], [0], [-4], [0], [1]], [[1], [4], [4], [-4], [-10], [-4], [4], [4], [1]], [[1], [0], [-4], [0], [6], [0], [-4], [0], [1]], [[1], [0], [-4], [0], [6], [0], [-4], [0], [1]], [[1], [0], [-4], [0], [6], [0], [-4], [0], [1]], [[1], [4], [10], [16], [19], [16], [10], [4], [1]], [[1], [1], [1], [-2], [-2], [-2], [1], [1], [1]], [[1], [-2], [1], [-2], [4], [-2], [1], [-2], [1]], [[1], [-2], [1], [-2], [4], [-2], [1], [-2], [1]], [[1], [0], [0], [0], [-2], [0], [0], [0], [1]], [[1], [0], [0], [0], [-2], [0], [0], [0], [1]], [[1], [-2], [4], [-4], [5], [-4], [4], [-2], [1]], [[1], [-2], [1], [2], [-4], [2], [1], [-2], [1]], [[1], [0], [2], [0], [3], [0], [2], [0], [1]], [[1], [0], [-1], [0], [0], [0], [-1], [0], [1]], [[1], [0], [2], [0], [3], [0], [2], [0], [1]], [[1], [1], [1], [2], [2], [2], [1], [1], [1]], [[1], [0], [-1], [0], [0], [0], [-1], [0], [1]], [[1], [0], [-1], [0], [0], [0], [-1], [0], [1]], [[1], [1], [1], [1], [1], [1], [1], [1], [1]], [[1], [0], [0], [0], [1], [0], [0], [0], [1]], [[1]], [[1], [-1], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '9T31', 'Galt': 31, 'HardPrimes': [3, 229], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [-1, 12, 0, -31, 0, 27, 0, -9, 0, 1], 'NumBadPrimes': 2, 'Proj_GAP': [1296, 3490], 'Proj_Polynomial': [-1, 12, 0, -31, 0, 27, 0, -9, 0, 1], 'Proj_nTj': [9, 31]}
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artin_field_data • Show schema
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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]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.229.2t1.a', 'Character': [[1], [1], [-1], [1], [1], [-1], [1], [1], [1], [1], [-1], [-1], [-1], [-1], [1], [1], [1], [-1], [-1], [1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.3.2t1.a', 'Character': [[1], [-1], [1], [-1], [1], [-1], [1], [1], [1], [1], [-1], [1], [1], [1], [-1], [-1], [1], [1], [-1], [-1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.687.2t1.a', 'Character': [[1], [-1], [-1], [-1], [1], [1], [1], [1], [1], [1], [1], [-1], [-1], [-1], [-1], [-1], [1], [-1], [1], [-1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.2061.6t3.b', 'Character': [[2], [-2], [0], [-2], [2], [0], [2], [2], [2], [-1], [0], [0], [0], [0], [-2], [-2], [2], [0], [0], [1], [-1], [0]], 'CharacterField': 1}, 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