Database - artin_reps (Artin representations)

Formats: - HTML - YAML - JSON - 2025-11-23T09:39:36.346854

Query: /api/artin_reps/?_offset=0

Column	Type
BadPrimes	jsonb
Baselabel	text
CharacterField	smallint
Conductor	numeric
Container	text
Dets	text[]
Dim	smallint
GalConjSigns	jsonb
Galn	smallint
GaloisConjugates	jsonb
GaloisConjugatesSigns	integer[]
GaloisLabel	text
Galt	integer
HardPrimes	jsonb
Hide	smallint
Indicator	smallint
Is_Even	boolean
NFGal	jsonb
NumBadPrimes	smallint
Proj_GAP	integer[]
Proj_Polynomial	numeric[]
Proj_nTj	integer[]

{'BadPrimes': [3], 'Baselabel': '1.27.18t1.a', 'CharacterField': 9, 'Conductor': 27, 'Container': '18t1', 'Dets': ['27.5', '27.2', '27.23', '27.20', '27.14', '27.11'], 'Dim': 1, 'GalConjSigns': [0, 0, 0, 0, 0, 0], 'Galn': 18, 'GaloisConjugates': [{'Sign': 0, 'Character': [[1], [-1], [0, 0, 0, 1], [-1, 0, 0, -1], [1, 0, 0, 1], [0, 0, 0, -1], [0, 1], [0, 0, 1], [0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1], [0, -1, 0, 0, -1], [0, 0, -1, 0, 0, -1], [0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 0, -1], [0, 0, 0, 0, 0, -1], [0, -1], [0, 0, -1]], 'GalOrbIndex': 1, 'HardFactors': [13, 19, 14, 9], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [0, 0, 0, -1]], [[1], [1, 0, 0, 1]], [[1], [-1, 0, 0, -1]], [[1], [0, 0, 0, 1]], [[1], [0, -1]], [[1], [0, 0, -1]], [[1], [0, 0, 0, 0, -1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [0, 1, 0, 0, 1]], [[1], [0, 0, 1, 0, 0, 1]], [[1], [0, -1, 0, 0, -1]], [[1], [0, 0, -1, 0, 0, -1]], [[1], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, 0, 1]], [[1], [0, 1]], [[1], [0, 0, 1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [-1, 0, 0, -1], [0, 0, 0, 1], [0, 0, 0, -1], [1, 0, 0, 1], [0, 0, 1], [0, 0, 0, 0, 1], [0, 0, -1, 0, 0, -1], [0, 1], [0, 0, 0, 0, 0, 1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, -1], [0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 1], [0, -1], [0, 0, -1], [0, 0, 0, 0, -1]], 'GalOrbIndex': 2, 'HardFactors': [13, 19, 14, 9], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [1, 0, 0, 1]], [[1], [0, 0, 0, -1]], [[1], [0, 0, 0, 1]], [[1], [-1, 0, 0, -1]], [[1], [0, 0, -1]], [[1], [0, 0, 0, 0, -1]], [[1], [0, 0, 1, 0, 0, 1]], [[1], [0, -1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [0, 1, 0, 0, 1]], [[1], [0, 0, 0, 0, 0, 1]], [[1], [0, -1, 0, 0, -1]], [[1], [0, 0, -1, 0, 0, -1]], [[1], [0, 1]], [[1], [0, 0, 1]], [[1], [0, 0, 0, 0, 1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [0, 0, 0, 1], [-1, 0, 0, -1], [1, 0, 0, 1], [0, 0, 0, -1], [0, 0, 0, 0, 1], [0, 0, -1, 0, 0, -1], [0, -1, 0, 0, -1], [0, 0, 1], [0, 1], [0, 0, 0, 0, 0, 1], [0, -1], [0, 0, 0, 0, 0, -1], [0, 1, 0, 0, 1], [0, 0, -1], [0, 0, 0, 0, -1], [0, 0, 1, 0, 0, 1]], 'GalOrbIndex': 3, 'HardFactors': [13, 19, 14, 9], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [0, 0, 0, -1]], [[1], [1, 0, 0, 1]], [[1], [-1, 0, 0, -1]], [[1], [0, 0, 0, 1]], [[1], [0, 0, 0, 0, -1]], [[1], [0, 0, 1, 0, 0, 1]], [[1], [0, 1, 0, 0, 1]], [[1], [0, 0, -1]], [[1], [0, -1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [0, 1]], [[1], [0, 0, 0, 0, 0, 1]], [[1], [0, -1, 0, 0, -1]], [[1], [0, 0, 1]], [[1], [0, 0, 0, 0, 1]], [[1], [0, 0, -1, 0, 0, -1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [-1, 0, 0, -1], [0, 0, 0, 1], [0, 0, 0, -1], [1, 0, 0, 1], [0, 0, 0, 0, 0, 1], [0, 1], [0, 0, 1], [0, -1, 0, 0, -1], [0, 0, -1, 0, 0, -1], [0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 0, -1], [0, 0, -1], [0, 1, 0, 0, 1], [0, 0, 0, 0, 0, -1], [0, -1]], 'GalOrbIndex': 4, 'HardFactors': [13, 19, 14, 9], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [1, 0, 0, 1]], [[1], [0, 0, 0, -1]], [[1], [0, 0, 0, 1]], [[1], [-1, 0, 0, -1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [0, -1]], [[1], [0, 0, -1]], [[1], [0, 1, 0, 0, 1]], [[1], [0, 0, 1, 0, 0, 1]], [[1], [0, 0, 0, 0, -1]], [[1], [0, 0, -1, 0, 0, -1]], [[1], [0, 0, 0, 0, 1]], [[1], [0, 0, 1]], [[1], [0, -1, 0, 0, -1]], [[1], [0, 0, 0, 0, 0, 1]], [[1], [0, 1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [0, 0, 0, 1], [-1, 0, 0, -1], [1, 0, 0, 1], [0, 0, 0, -1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1], [0, 1], [0, 0, -1, 0, 0, -1], [0, 0, 0, 0, 1], [0, 0, 1], [0, 0, 0, 0, -1], [0, 0, -1], [0, -1], [0, 0, 1, 0, 0, 1], [0, 1, 0, 0, 1], [0, 0, 0, 0, 0, -1]], 'GalOrbIndex': 5, 'HardFactors': [13, 19, 14, 9], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [0, 0, 0, -1]], [[1], [1, 0, 0, 1]], [[1], [-1, 0, 0, -1]], [[1], [0, 0, 0, 1]], [[1], [0, 1, 0, 0, 1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [0, -1]], [[1], [0, 0, 1, 0, 0, 1]], [[1], [0, 0, 0, 0, -1]], [[1], [0, 0, -1]], [[1], [0, 0, 0, 0, 1]], [[1], [0, 0, 1]], [[1], [0, 1]], [[1], [0, 0, -1, 0, 0, -1]], [[1], [0, -1, 0, 0, -1]], [[1], [0, 0, 0, 0, 0, 1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [-1, 0, 0, -1], [0, 0, 0, 1], [0, 0, 0, -1], [1, 0, 0, 1], [0, 0, -1, 0, 0, -1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1], [0, 0, 1], [0, 1], [0, 0, -1], [0, -1], [0, 0, 0, 0, 0, -1], [0, 0, 0, 0, -1], [0, 0, 1, 0, 0, 1], [0, 1, 0, 0, 1]], 'GalOrbIndex': 6, 'HardFactors': [13, 19, 14, 9], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [1, 0, 0, 1]], [[1], [0, 0, 0, -1]], [[1], [0, 0, 0, 1]], [[1], [-1, 0, 0, -1]], [[1], [0, 0, 1, 0, 0, 1]], [[1], [0, 1, 0, 0, 1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [0, 0, 0, 0, -1]], [[1], [0, 0, -1]], [[1], [0, -1]], [[1], [0, 0, 1]], [[1], [0, 1]], [[1], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, 1]], [[1], [0, 0, -1, 0, 0, -1]], [[1], [0, -1, 0, 0, -1]], [[1]]]}], 'GaloisConjugatesSigns': [0, 0, 0, 0, 0, 0], 'GaloisLabel': '18T1', 'Galt': 1, 'HardPrimes': [2, 3, 5, 7], 'Hide': 0, 'Indicator': 0, 'Is_Even': False, 'NFGal': [1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'NumBadPrimes': 1, 'Proj_GAP': [1, 1], 'Proj_Polynomial': [0, 1], 'Proj_nTj': [1, 1], 'id': 505101}