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artin_reps • Show schema
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{'BadPrimes': [2, 823547], 'Baselabel': '7.81784359890073480322911752930604437733376.8t49.a', 'CharacterField': 1, 'Conductor': 81784359890073480322911752930604437733376, 'Container': '8t49', 'Dets': ['1.1.1t1.a.a'], 'Dim': 7, 'GalConjSigns': [1], 'Galn': 8, 'GaloisConjugates': [{'Sign': 1, 'Character': [[7], [-1], [3], [4], [1], [-1], [1], [2], [0], [-1], [0], [0], [-1], [-1]], 'GalOrbIndex': 1, 'HardFactors': [15, 16], 'LocalFactors': [[[1], [-7], [21], [-35], [35], [-21], [7], [-1]], [[1], [1], [-3], [-3], [3], [3], [-1], [-1]], [[1], [-3], [1], [5], [-5], [-1], [3], [-1]], [[1], [-4], [6], [-5], [5], [-6], [4], [-1]], [[1], [-1], [0], [-2], [2], [0], [1], [-1]], [[1], [1], [1], [1], [-1], [-1], [-1], [-1]], [[1], [-1], [-1], [1], [-1], [1], [1], [-1]], [[1], [-2], [1], [0], [0], [-1], [2], [-1]], [[1], [0], [-2], [-1], [1], [2], [0], [-1]], [[1], [1], [0], [0], [0], [0], [-1], [-1]], [[1], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [0], [-1]], [[1], [1], [1], [0], [0], [-1], [-1], [-1]], [[1], [1], [1], [0], [0], [-1], [-1], [-1]], [[1], [1]], [[1], [-1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T49', 'Galt': 49, 'HardPrimes': [2, 823547], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [823540, -48, -140, -224, -210, -112, -28, 0, 1], 'NumBadPrimes': 2, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [823540, -48, -140, -224, -210, -112, -28, 0, 1], 'Proj_nTj': [8, 49]}
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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]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '7.81784359890073480322911752930604437733376.8t49.a', 'Character': [[7], [-1], [3], [4], [1], [-1], [1], [2], [0], [-1], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.6688681522629059894447701828132486277117719106262300617903325598556888716464357376.15t72.a', 'Character': [[14], [6], [2], [-1], [2], [2], [0], [-1], [-1], [0], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.547029536836779699858012917683136285591492999321384203197524227912514679443684375958596873750716116462505497785041866981376.28t433.a', 'Character': [[20], [4], [4], [5], [-1], [0], [0], [0], [1], [1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': 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[2, 3, 4, 1, 6, 7, 8, 5]}, {'Size': '2520', 'Order': 4, 'Representative': [2, 3, 4, 1, 6, 5, 7, 8]}, {'Size': '1344', 'Order': 5, 'Representative': [2, 3, 4, 5, 1, 6, 7, 8]}, {'Size': '1680', 'Order': 6, 'Representative': [2, 3, 1, 5, 4, 7, 6, 8]}, {'Size': '3360', 'Order': 6, 'Representative': [2, 3, 4, 5, 6, 1, 8, 7]}, {'Size': '2880', 'Order': 7, 'Representative': [2, 3, 4, 5, 6, 7, 1, 8]}, {'Size': '2880', 'Order': 7, 'Representative': [3, 1, 4, 5, 6, 7, 2, 8]}, {'Size': '1344', 'Order': 15, 'Representative': [2, 3, 4, 5, 1, 7, 8, 6]}, {'Size': '1344', 'Order': 15, 'Representative': [3, 1, 4, 5, 2, 7, 8, 6]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 4, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 3]}, {'Data': 0, 'Classes': 3, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 2, 2]}, {'Data': 0, 'Classes': 8, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 5]}, {'Data': 0, 'Classes': 7, 'Algorithm': 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['-283841006718925976019316552', '0']], 'QpRts-minpoly': [2, 940, 1], 'QpRts-p': 941, 'QpRts-prec': 9, 'Size': 20160, 'TransitiveDegree': 8}