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artin_reps • Show schema
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{'BadPrimes': [2, 5, 373], 'Baselabel': '12.28880462932372000000.18t219.a', 'CharacterField': 1, 'Conductor': 28880462932372000000, 'Container': '18t219', 'Dets': ['1.373.2t1.a.a'], 'Dim': 12, 'GalConjSigns': [1], 'Galn': 9, 'GaloisConjugates': [{'Sign': 1, 'Character': [[12], [2], [0], [3], [3], [0], [-3], [0], [0], [2], [2], [-1], [-1], [-1], [0], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [18, 19, 14, 20, 12, 16, 6, 16, 16], 'LocalFactors': [[[1], [-12], [66], [-220], [495], [-792], [924], [-792], [495], [-220], [66], [-12], [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], [-3], [3], [-4], [9], [-9], [6], [-9], [9], [-4], [3], [-3], [1]], [[1], [-3], [3], [-4], [9], [-9], [6], [-9], [9], [-4], [3], [-3], [1]], [[1], [0], [0], [-4], [0], [0], [6], [0], [0], [-4], [0], [0], [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], [0], [0], [0], [-3], [0], [0], [0], [3], [0], [0], [0], [-1]], [[1], [-2], [2], [-2], [2], [-2], [0], [2], [-2], [2], [-2], [2], [-1]], [[1], [-2], [2], [-2], [2], [-2], [0], [2], [-2], [2], [-2], [2], [-1]], [[1], [1], [-1], [-2], [-1], [1], [0], [-1], [1], [2], [1], [-1], [-1]], [[1], [1], [-1], [-2], [-1], [1], [0], [-1], [1], [2], [1], [-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], [-1], [0], [0], [0], [0], [0], [-1], [0], [0], [1]], [[1], [0], [0], [-1], [0], [0], [0], [0], [0], [-1], [0], [0], [1]], [[1], [1], [0], [-1], [-1]], [[1], [-2], [2], [-2], [2], [-2], [1]], [[1], [-1], [0], [-2], [2], [0], [1], [-1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '9T29', 'Galt': 29, 'HardPrimes': [2, 5, 47, 373, 3049, 3823, 52973, 985498193, 35402492947], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [-1, 7, -7, -8, 14, 3, -7, -3, 0, 1], 'NumBadPrimes': 3, 'Proj_GAP': [648, 704], 'Proj_Polynomial': [-1, 7, -7, -8, 14, 3, -7, -3, 0, 1], 'Proj_nTj': [9, 29]}
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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]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.373.2t1.a', 'Character': [[1], [-1], [1], [1], [1], [1], [1], [1], [-1], [-1], [-1], [-1], [-1], [-1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.1492.3t2.a', 'Character': [[2], [0], [2], [2], [2], [2], [2], [-1], [0], [0], [0], [0], [0], [0], [2], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.37300.4t5.a', 'Character': [[3], [1], [-1], [3], [3], [3], [3], [0], [-1], [1], [1], [1], [1], [1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.13912900.6t8.a', 'Character': [[3], [-1], [-1], [3], [3], [3], [3], [0], [1], [-1], [-1], [-1], [-1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '4.5189511700.24t1527.a', 'Character': [[4, 0], [-2, 0], [0, 0], [1, 3], [-2, -3], [-2, 0], [1, 0], [1, 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