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artin_reps • Show schema
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{'BadPrimes': [2, 3], 'Baselabel': '18.4172630516011578626876079341568.36t1758.a', 'CharacterField': 1, 'Conductor': 4172630516011578626876079341568, 'Container': '36t1758', 'Dets': ['1.8.2t1.b.a'], 'Dim': 18, 'GalConjSigns': [1], 'Galn': 8, 'GaloisConjugates': [{'Sign': 1, 'Character': [[18], [-6], [2], [0], [0], [-2], [0], [0], [0], [0], [-2], [0], [0], [2], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [21, 22, 13, 17, 13], 'LocalFactors': [[[1], [-18], [153], [-816], [3060], [-8568], [18564], [-31824], [43758], [-48620], [43758], [-31824], [18564], [-8568], [3060], [-816], [153], [-18], [1]], [[1], [6], [9], [-16], [-60], [-24], [116], [144], [-66], [-220], [-66], [144], [116], [-24], [-60], [-16], [9], [6], [1]], [[1], [-2], [-7], [16], [20], [-56], [-28], [112], [14], [-140], [14], [112], [-28], [-56], [20], [16], [-7], [-2], [1]], [[1], [0], [-9], [0], [36], [0], [-84], [0], [126], [0], [-126], [0], [84], [0], [-36], [0], [9], [0], [-1]], [[1], [0], [-9], [0], [36], [0], [-84], [0], [126], [0], [-126], [0], [84], [0], [-36], [0], [9], [0], [-1]], [[1], [2], [-7], [-16], [20], [56], [-28], [-112], [14], [140], [14], [-112], [-28], [56], [20], [-16], [-7], [2], [1]], [[1], [0], [-9], [0], [36], [0], [-84], [0], [126], [0], [-126], [0], [84], [0], [-36], [0], [9], [0], [-1]], [[1], [0], [0], [-6], [0], [0], [15], [0], [0], [-20], [0], [0], [15], [0], [0], [-6], [0], [0], [1]], [[1], [0], [0], [-6], [0], [0], [15], [0], [0], [-20], [0], [0], [15], [0], [0], [-6], [0], [0], [1]], [[1], [0], [3], [0], [0], [0], [-8], [0], [-6], [0], [6], [0], [8], [0], [0], [0], [-3], [0], [-1]], [[1], [2], [1], [0], [-4], [-8], [-4], [0], [6], [12], [6], [0], [-4], [-8], [-4], [0], [1], [2], [1]], [[1], [0], [3], [0], [0], [0], [-8], [0], [-6], [0], [6], [0], [8], [0], [0], [0], [-3], [0], [-1]], [[1], [0], [-1], [0], [-4], [0], [4], [0], [6], [0], [-6], [0], [-4], [0], [4], [0], [1], [0], [-1]], [[1], [-2], [5], [-8], [8], [-8], [0], [8], [-14], [20], [-14], [8], [0], [-8], [8], [-8], [5], [-2], [1]], [[1], [0], [1], [0], [-4], [0], [-4], [0], [6], [0], [6], [0], [-4], [0], [-4], [0], [1], [0], [1]], [[1], [0], [0], [2], [0], [0], [-1], [0], [0], [-4], [0], [0], [-1], [0], [0], [2], [0], [0], [1]], [[1], [0], [0], [0], [0], [0], [-3], [0], [0], [0], [0], [0], [3], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [-3], [0], [0], [0], [0], [0], [3], [0], [0], [0], [0], [0], [-1]], [[1], [0], [1], [0], [0], [0], [0], [0], [-2], [0], [-2], [0], [0], [0], [0], [0], [1], [0], [1]], [[1], [0], [0], [0], [0], [0], [1], [0], [0], [0], [0], [0], [-1], [0], [0], [0], [0], [0], [-1]], [[1], [0], [-1]], [[1], [0], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T47', 'Galt': 47, 'HardPrimes': [2, 3, 5, 47, 397], 'Hide': 0, 'Indicator': 1, 'Is_Even': False, 'NFGal': [-2, 16, -28, 20, -1, -8, 8, -4, 1], 'NumBadPrimes': 2, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [-2, 16, -28, 20, -1, -8, 8, -4, 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': '1.4.2t1.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': '1.8.2t1.b', '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': '1.8.2t1.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': '2.128.4t3.a', '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': '4.3359232.6t13.e', 'Character': [[4], 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