Formats: - HTML - YAML - JSON - 2025-12-07T15:28:41.627155
Query: /api/artin_reps/?_offset=0
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{'BadPrimes': [3, 5, 29], 'Baselabel': '2.2175.9t3.a', 'CharacterField': 9, 'Conductor': 2175, 'Container': '9t3', 'Dets': ['1.87.2t1.a.a', '1.87.2t1.a.a', '1.87.2t1.a.a'], 'Dim': 2, 'GalConjSigns': [1, 1, 1], 'Galn': 9, 'GaloisConjugates': [{'Sign': 1, 'Character': [[2], [0], [-1], [0, -1, 1, 0, -1], [0, 0, 0, 0, 1, 1], [0, 1, -1, 0, 0, -1]], 'GalOrbIndex': 1, 'HardFactors': [7, 8, 7], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [1], [1]], [[1], [0, 1, -1, 0, 1], [1]], [[1], [0, 0, 0, 0, -1, -1], [1]], [[1], [0, -1, 1, 0, 0, 1], [1]], [[1], [-1]], [[1]]]}, {'Sign': 1, 'Character': [[2], [0], [-1], [0, 0, 0, 0, 1, 1], [0, 1, -1, 0, 0, -1], [0, -1, 1, 0, -1]], 'GalOrbIndex': 2, 'HardFactors': [7, 8, 7], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [1], [1]], [[1], [0, 0, 0, 0, -1, -1], [1]], [[1], [0, -1, 1, 0, 0, 1], [1]], [[1], [0, 1, -1, 0, 1], [1]], [[1], [-1]], [[1]]]}, {'Sign': 1, 'Character': [[2], [0], [-1], [0, 1, -1, 0, 0, -1], [0, -1, 1, 0, -1], [0, 0, 0, 0, 1, 1]], 'GalOrbIndex': 3, 'HardFactors': [7, 8, 7], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [1], [1]], [[1], [0, -1, 1, 0, 0, 1], [1]], [[1], [0, 1, -1, 0, 1], [1]], [[1], [0, 0, 0, 0, -1, -1], [1]], [[1], [-1]], [[1]]]}], 'GaloisConjugatesSigns': [1, 1, 1], 'GaloisLabel': '9T3', 'Galt': 3, 'HardPrimes': [3, 5, 29], 'Hide': 0, 'Indicator': 1, 'Is_Even': False, 'NFGal': [-45, 45, -60, 24, -41, 11, -11, 4, -1, 1], 'NumBadPrimes': 3, 'Proj_GAP': [18, 1], 'Proj_Polynomial': [-45, 45, -60, 24, -41, 11, -11, 4, -1, 1], 'Proj_nTj': [9, 3], 'id': 503865}