Formats: - HTML - YAML - JSON - 2025-11-23T09:39:36.023562
Query: /api/artin_reps/?_offset=0
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{'BadPrimes': [5], 'Baselabel': '1.25.10t1.a', 'CharacterField': 5, 'Conductor': 25, 'Container': '10t1', 'Dets': ['25.4', '25.9', '25.14', '25.19'], 'Dim': 1, 'GalConjSigns': [0, 0, 0, 0], 'Galn': 10, 'GaloisConjugates': [{'Sign': 0, 'Character': [[1], [-1], [0, 0, 1], [-1, -1, -1, -1], [0, 1], [0, 0, 0, 1], [0, 0, -1], [0, -1], [1, 1, 1, 1], [0, 0, 0, -1]], 'GalOrbIndex': 1, 'HardFactors': [10, 11, 5], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [0, 0, -1]], [[1], [1, 1, 1, 1]], [[1], [0, -1]], [[1], [0, 0, 0, -1]], [[1], [0, 0, 1]], [[1], [0, 1]], [[1], [-1, -1, -1, -1]], [[1], [0, 0, 0, 1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [-1, -1, -1, -1], [0, 0, 0, 1], [0, 0, 1], [0, 1], [1, 1, 1, 1], [0, 0, -1], [0, 0, 0, -1], [0, -1]], 'GalOrbIndex': 2, 'HardFactors': [10, 11, 5], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [1, 1, 1, 1]], [[1], [0, 0, 0, -1]], [[1], [0, 0, -1]], [[1], [0, -1]], [[1], [-1, -1, -1, -1]], [[1], [0, 0, 1]], [[1], [0, 0, 0, 1]], [[1], [0, 1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [0, 1], [0, 0, 1], [0, 0, 0, 1], [-1, -1, -1, -1], [0, -1], [0, 0, 0, -1], [0, 0, -1], [1, 1, 1, 1]], 'GalOrbIndex': 3, 'HardFactors': [10, 11, 5], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [0, -1]], [[1], [0, 0, -1]], [[1], [0, 0, 0, -1]], [[1], [1, 1, 1, 1]], [[1], [0, 1]], [[1], [0, 0, 0, 1]], [[1], [0, 0, 1]], [[1], [-1, -1, -1, -1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [0, 0, 0, 1], [0, 1], [-1, -1, -1, -1], [0, 0, 1], [0, 0, 0, -1], [1, 1, 1, 1], [0, -1], [0, 0, -1]], 'GalOrbIndex': 4, 'HardFactors': [10, 11, 5], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [0, 0, 0, -1]], [[1], [0, -1]], [[1], [1, 1, 1, 1]], [[1], [0, 0, -1]], [[1], [0, 0, 0, 1]], [[1], [-1, -1, -1, -1]], [[1], [0, 1]], [[1], [0, 0, 1]], [[1]]]}], 'GaloisConjugatesSigns': [0, 0, 0, 0], 'GaloisLabel': '10T1', 'Galt': 1, 'HardPrimes': [2, 5, 29], 'Hide': 0, 'Indicator': 0, 'Is_Even': True, 'NFGal': [-1, -5, 25, 5, -50, -1, 35, 0, -10, 0, 1], 'NumBadPrimes': 1, 'Proj_GAP': [1, 1], 'Proj_Polynomial': [0, 1], 'Proj_nTj': [1, 1], 'id': 458597}