Artin representation data - 10.267403334175880281849856.20t77.a

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• artin_reps •

  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': [2, 53], 'Baselabel': '10.267403334175880281849856.20t77.a', 'CharacterField': 1, 'Conductor': 267403334175880281849856, 'Container': '20t77', 'Dets': ['1.1.1t1.a.a'], 'Dim': 10, 'GalConjSigns': [1], 'Galn': 10, 'GaloisConjugates': [{'Sign': 1, 'Character': [[10], [2], [-2], [-2], [2], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [12, 13], 'LocalFactors': [[[1], [-10], [45], [-120], [210], [-252], [210], [-120], [45], [-10], [1]], [[1], [-2], [-3], [8], [2], [-12], [2], [8], [-3], [-2], [1]], [[1], [2], [-3], [-8], [2], [12], [2], [-8], [-3], [2], [1]], [[1], [2], [-3], [-8], [2], [12], [2], [-8], [-3], [2], [1]], [[1], [-2], [1], [0], [-2], [4], [-2], [0], [1], [-2], [1]], [[1], [0], [1], [0], [-2], [0], [-2], [0], [1], [0], [1]], [[1], [0], [1], [0], [-2], [0], [-2], [0], [1], [0], [1]], [[1], [0], [1], [0], [-2], [0], [-2], [0], [1], [0], [1]], [[1], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [1]], [[1], [0], [-1], [0], [0], [0], [0], [0], [-1], [0], [1]], [[1], [0], [-1], [0], [0], [0], [0], [0], [-1], [0], [1]], [[1]], [[1], [-2], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '10T24', 'Galt': 24, 'HardPrimes': [2, 53], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [-4, 0, 40, 0, -90, 0, 56, 0, -13, 0, 1], 'NumBadPrimes': 2, 'Proj_GAP': [320, 1635], 'Proj_Polynomial': [-4, 0, 40, 0, -90, 0, 56, 0, -13, 0, 1], 'Proj_nTj': [10, 24]}
• artin_field_data •

  Column	Type
  ArtinReps	jsonb
  ComplexConjugation	smallint
  ConjClasses	jsonb
  FrobResolvents	jsonb
  Frobs	jsonb
  G-Gens	jsonb
  G-Name	text
  Polynomial	jsonb
  QpRts	jsonb
  QpRts-minpoly	jsonb
  QpRts-p	integer
  QpRts-prec	integer
  Size	numeric
  TransitiveDegree	smallint

  
  {'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.53.2t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [-1], [-1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.212.4t1.a', 'Character': [[1, 0], [1, 0], [1, 0], [-1, 0], [-1, 0], [-1, 0], [0, -1], [0, 1], [1, 0], [0, 1], [0, -1]], 'CharacterField': 4}, {'GalConj': 2, 'Baselabel': '1.212.4t1.a', 'Character': [[1, 0], [1, 0], [1, 0], [-1, 0], [-1, 0], [-1, 0], [0, 1], [0, -1], [1, 0], [0, -1], [0, 1]], 'CharacterField': 4}, {'GalConj': 1, 'Baselabel': '4.2382032.5t3.b', 'Character': [[4], [4], [4], [0], [0], [0], [0], [0], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '5.9756803072.10t24.a', 'Character': [[5], [-3], [1], [1], [1], [-1], [1], [1], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '5.517110562816.10t25.a', 'Character': [[5], [-3], [1], [1], [1], [-1], [-1], [-1], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '5.129277640704.20t88.a', 'Character': [[5, 0], [-3, 0], [1, 0], [-1, 0], [-1, 0], [1, 0], [0, -1], [0, 1], [0, 0], [0, -1], [0, 1]], 'CharacterField': 4}, {'GalConj': 2, 'Baselabel': '5.129277640704.20t88.a', 'Character': [[5, 0], [-3, 0], [1, 0], [-1, 0], [-1, 0], [1, 0], [0, 1], [0, -1], [0, 0], [0, 1], [0, -1]], 'CharacterField': 4}, {'GalConj': 1, 'Baselabel': '10.5045345927846797770752.16t711.a', 'Character': [[10], [2], [-2], [2], [-2], [0], [0], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '10.267403334175880281849856.20t77.a', 'Character': [[10], [2], [-2], [-2], [2], [0], [0], [0], [0], [0], [0]], 'CharacterField': 1}], 'ComplexConjugation': 1, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]}, {'Size': '5', 'Order': 2, 'Representative': [2, 1, 7, 4, 10, 9, 3, 8, 6, 5]}, {'Size': '10', 'Order': 2, 'Representative': [2, 1, 3, 4, 5, 9, 7, 8, 6, 10]}, {'Size': '20', 'Order': 2, 'Representative': [1, 2, 8, 7, 9, 10, 4, 3, 5, 6]}, {'Size': '20', 'Order': 4, 'Representative': [5, 10, 9, 4, 2, 3, 6, 8, 7, 1]}, {'Size': '40', 'Order': 4, 'Representative': [6, 9, 7, 5, 8, 1, 3, 10, 2, 4]}, {'Size': '40', 'Order': 4, 'Representative': [9, 6, 4, 2, 5, 3, 8, 1, 7, 10]}, {'Size': '40', 'Order': 4, 'Representative': [8, 4, 6, 3, 5, 2, 9, 7, 1, 10]}, {'Size': '64', 'Order': 5, 'Representative': [4, 8, 1, 5, 6, 3, 2, 10, 7, 9]}, {'Size': '40', 'Order': 8, 'Representative': [9, 6, 1, 8, 7, 10, 2, 4, 5, 3]}, {'Size': '40', 'Order': 8, 'Representative': [7, 3, 5, 8, 6, 1, 10, 4, 2, 9]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 3, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [1, -3, 1]}, 'Classes': [{'RootOf': ['-57130272', '12707280', '-782352', 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