Artin representation data - 2.127.5t2.a

Formats: - HTML - YAML - JSON - 2024-04-25T07:10:03.767661

• 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': [127], 'Baselabel': '2.127.5t2.a', 'CharacterField': 5, 'Conductor': 127, 'Container': '5t2', 'Dets': ['1.127.2t1.a.a', '1.127.2t1.a.a'], 'Dim': 2, 'GalConjSigns': [1, 1], 'Galn': 5, 'GaloisConjugates': [{'Sign': 1, 'Character': [[2], [0], [0, 0, 1, 1], [-1, 0, -1, -1]], 'GalOrbIndex': 1, 'HardFactors': [4, 5], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [0, 0, -1, -1], [1]], [[1], [1, 0, 1, 1], [1]], [[1], [-1]]]}, {'Sign': 1, 'Character': [[2], [0], [-1, 0, -1, -1], [0, 0, 1, 1]], 'GalOrbIndex': 2, 'HardFactors': [4, 5], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [1, 0, 1, 1], [1]], [[1], [0, 0, -1, -1], [1]], [[1], [-1]]]}], 'GaloisConjugatesSigns': [1, 1], 'GaloisLabel': '5T2', 'Galt': 2, 'HardPrimes': [2, 127], 'Hide': 0, 'Indicator': 1, 'Is_Even': False, 'NFGal': [-1, 3, 1, -2, -1, 1], 'NumBadPrimes': 1, 'Proj_GAP': [10, 1], 'Proj_Polynomial': [-1, 3, 1, -2, -1, 1], 'Proj_nTj': [5, 2]}
• 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]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.127.2t1.a', 'Character': [[1], [-1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.127.5t2.a', 'Character': [[2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 1], [-1, 0, -1, -1]], 'CharacterField': 5}, {'GalConj': 2, 'Baselabel': '2.127.5t2.a', 'Character': [[2, 0, 0, 0], [0, 0, 0, 0], [-1, 0, -1, -1], [0, 0, 1, 1]], 'CharacterField': 5}], 'ComplexConjugation': 2, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5]}, {'Size': '5', 'Order': 2, 'Representative': [3, 4, 1, 2, 5]}, {'Size': '2', 'Order': 5, 'Representative': [2, 4, 5, 3, 1]}, {'Size': '2', 'Order': 5, 'Representative': [4, 3, 1, 5, 2]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2]}, {'Data': [2, 3, 4, 5, 1], 'Classes': [{'RootOf': ['-127', '1'], 'ConjugacyClass': 4}, {'RootOf': ['127', '1'], 'ConjugacyClass': 3}], 'Algorithm': 'ALT', 'CycleType': [5]}], 'Frobs': [4, 2, 2, 2, 3, 3, 4, 4, 2, 2, 4, 4, 3, 2, 3, 2, 2, 4, 2, 4, 3, 3, 2, 2, 2, 2, 3, 4, 2, 3, 1, 1, 2, 2, 4, 2, 3, 1, 2, 2, 4, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 2, 3, 2, 4, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 2, 2, 1, 3, 4, 2, 2, 4, 2, 3, 4, 2, 4, 3, 3, 2, 4, 2, 3, 2, 2, 2, 3, 1, 4, 3, 2, 2, 1, 2, 3, 2, 4, 4, 2, 2, 2, 4, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 4, 1, 2, 2, 2, 3, 4, 2, 1, 3, 2, 2, 4, 2, 2, 4, 3, 1, 4, 3, 2, 4, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 2, 3, 1, 4, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2], 'G-Gens': [[3, 4, 1, 2, 5], [5, 3, 2, 4, 1]], 'G-Name': 'D10', 'Polynomial': [-1, 3, 1, -2, -1, 1], 'QpRts': [['-935', '4598'], ['5091', '-4598'], ['4142', '0'], ['1953', '4835'], ['6557', '-4835']], 'QpRts-minpoly': [3, 6, 1], 'QpRts-p': 7, 'QpRts-prec': 5, 'Size': 10, 'TransitiveDegree': 5}