Artin representation data - 1.4044.2t1.a

Formats: - HTML - YAML - JSON - 2025-07-17T18:36:40.935739

• 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, 3, 337], 'Baselabel': '1.4044.2t1.a', 'CharacterField': 1, 'Conductor': 4044, 'Container': '2t1', 'Dets': ['4044.4043'], 'Dim': 1, 'GalConjSigns': [1], 'Galn': 2, 'GaloisConjugates': [{'Sign': 1, 'Character': [[1], [-1]], 'GalOrbIndex': 1, 'HardFactors': [3, 3, 3], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '2T1', 'Galt': 1, 'HardPrimes': [2, 3, 337], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [-1011, 0, 1], 'NumBadPrimes': 3, 'Proj_GAP': [1, 1], 'Proj_Polynomial': [0, 1], 'Proj_nTj': [1, 1]}
• 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]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.4044.2t1.a', 'Character': [[1], [-1]], 'CharacterField': 1}], 'ComplexConjugation': 1, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2]}, {'Size': '1', 'Order': 2, 'Representative': [2, 1]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2]}], 'Frobs': [1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1], 'G-Gens': [[2, 1]], 'G-Name': 'C2', 'Polynomial': [-1011, 0, 1], 'QpRts': [['1181'], ['-1181']], 'QpRts-minpoly': [-1, 1], 'QpRts-p': 5, 'QpRts-prec': 5, 'Size': 2, 'TransitiveDegree': 2}