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artin_reps • Show schema
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{'BadPrimes': [2, 3, 13], 'Baselabel': '12.59006820995623747584.36t1763.a', 'CharacterField': 1, 'Conductor': 59006820995623747584, 'Container': '36t1763', 'Dets': ['1.39.2t1.a.a'], 'Dim': 12, 'GalConjSigns': [1], 'Galn': 8, 'GaloisConjugates': [{'Sign': 1, 'Character': [[12], [4], [-4], [-2], [0], [0], [-2], [-3], [0], [2], [0], [2], [0], [0], [0], [1], [1], [0], [0], [-1]], 'GalOrbIndex': 1, 'HardFactors': [21, 22, 18, 23, 15], 'LocalFactors': [[[1], [-12], [66], [-220], [495], [-792], [924], [-792], [495], [-220], [66], [-12], [1]], [[1], [-4], [2], [12], [-17], [-8], [28], [-8], [-17], [12], [2], [-4], [1]], [[1], [4], [2], [-12], [-17], [8], [28], [8], [-17], [-12], [2], [4], [1]], [[1], [2], [-4], [-10], [5], [20], [0], [-20], [-5], [10], [4], [-2], [-1]], [[1], [0], [-6], [0], [15], [0], [-20], [0], [15], [0], [-6], [0], [1]], [[1], [0], [-6], [0], [15], [0], [-20], [0], [15], [0], [-6], [0], [1]], [[1], [2], [-4], [-10], [5], [20], [0], [-20], [-5], [10], [4], [-2], [-1]], [[1], [3], [6], [5], [0], [-9], [-12], [-9], [0], [5], [6], [3], [1]], [[1], [0], [0], [-4], [0], [0], [6], [0], [0], [-4], [0], [0], [1]], [[1], [-2], [0], [2], [-3], [4], [0], [-4], [3], [-2], [0], [2], [-1]], [[1], [0], [2], [0], [-1], [0], [-4], [0], [-1], [0], [2], [0], [1]], [[1], [-2], [0], [2], [-3], [4], [0], [-4], [3], [-2], [0], [2], [-1]], [[1], [0], [2], [0], [-1], [0], [-4], [0], [-1], [0], [2], [0], [1]], [[1], [0], [-2], [0], [-1], [0], [4], [0], [-1], [0], [-2], [0], [1]], [[1], [0], [0], [0], [-3], [0], [0], [0], [3], [0], [0], [0], [-1]], [[1], [-1], [2], [-3], [4], [-5], [4], [-5], [4], [-3], [2], [-1], [1]], [[1], [-1], [2], [-1], [2], [-1], [0], [1], [-2], [1], [-2], [1], [-1]], [[1], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [1], [0], [0], [0], [-1], [0], [0], [0], [-1]], [[1], [1], [0], [-1], [0], [1], [0], [-1], [0], [1], [0], [-1], [-1]], [[1], [0], [-1]], [[1]], [[1], [-1], [0], [0], [-1], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T47', 'Galt': 47, 'HardPrimes': [2, 3, 5, 13, 17], 'Hide': 0, 'Indicator': 1, 'Is_Even': False, 'NFGal': [-23, 28, -20, -22, 44, -28, 10, -2, 1], 'NumBadPrimes': 3, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [-23, 28, -20, -22, 44, -28, 10, -2, 1], 'Proj_nTj': [8, 47]}
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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]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.39.2t1.a', 'Character': [[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': '1.52.2t1.a', 'Character': [[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': '1.12.2t1.a', 'Character': [[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': '2.468.4t3.d', 'Character': [[2], [2], [2], [0], [0], [-2], [0], [2], [2], [0], [-2], [0], [0], [-2], [0], [2], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '4.657072.6t13.c', 'Character': [[4], 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