Artin representation data - 2.2921.14t8.a

Formats: - HTML - YAML - JSON - 2024-06-08T01:28:35.405221

• 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': [23, 127], 'Baselabel': '2.2921.14t8.a', 'CharacterField': 7, 'Conductor': 2921, 'Container': '14t8', 'Dets': ['1.2921.14t1.a.a', '1.2921.14t1.a.b', '1.2921.14t1.a.c', '1.2921.14t1.a.d', '1.2921.14t1.a.e', '1.2921.14t1.a.f'], 'Dim': 2, 'GalConjSigns': [0, 0, 0, 0, 0, 0], 'Galn': 14, 'GaloisConjugates': [{'Sign': 0, 'Character': [[2], [0], [-2, -2, -2, -2, -2, -2], [0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 2], [0, 0, 0, 2], [0, 0, 2], [0, 2], [0, 1, 1], [0, 0, 1, 0, 1], [-1, -1, -1, 0, -1, -1], [0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 1], [-1, -1, -1, -1, -1], [0, -1, -1, -1, -1, -1], [1, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1], [1, 0, 0, 1], [1, 0, 1], [1, 1], [0, 0, 0, 1, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [-1, -1, 0, -1, -1, -1], [0, 0, 0, 0, 1, 1], [-1, -1, -1, -1, 0, -1], [0, 1, 0, 1], [0, 0, 1, 1], [0, 1, 0, 0, 0, 1], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [28, 10, 31, 31, 32, 27, 36, 18, 33, 2, 37, 21, 22, 9, 25, 15, 25, 8, 34, 2, 25, 2], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, 0, -2], [0, 0, 0, 1]], [[1], [0, 0, 0, 0, -2], [0, 1]], [[1], [0, 0, 0, -2], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, -2], [0, 0, 0, 0, 1]], [[1], [0, -2], [0, 0, 1]], [[1], [0, -1, -1], [0, 0, 0, 1]], [[1], [0, 0, -1, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [1, 1, 1, 0, 1, 1], [0, 0, 1]], [[1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, -1, 0, -1], [0, 1]], [[1], [1, 1, 1, 1, 1], [0, 0, 0, 0, 1]], [[1], [0, 1, 1, 1, 1, 1], [-1, -1, -1, -1, -1, -1]], [[1], [-1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 1]], [[1], [-1, 0, 0, -1], [0, 0, 0, 1]], [[1], [-1, 0, -1], [0, 0, 1]], [[1], [-1, -1], [0, 1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [1, 0, 1, 1, 1, 1], [1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [1, 1, 0, 1, 1, 1], [0, 1]], [[1], [0, 0, 0, 0, -1, -1], [0, 0, 1]], [[1], [1, 1, 1, 1, 0, 1], [0, 0, 0, 1]], [[1], [0, -1, 0, -1], [0, 0, 0, 0, 1]], [[1], [0, 0, -1, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, -1, 0, 0, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [0], [1, 1, 1, 1, 1, 1]], [[1], [0], [0, 0, 0, 0, -1]], [[1], [0], [0, 0, -1]], [[1], [0], [0, 0, 0, 0, 0, -1]], [[1], [0], [0, 0, 0, -1]], [[1], [0], [0, -1]], [[1], [1, 1, 1, 1, 1, 1]], [[1], [-1]]]}, {'Sign': 0, 'Character': [[2], [0], [0, 0, 0, 0, 0, 2], [0, 0, 0, 2], [0, 2], [-2, -2, -2, -2, -2, -2], [0, 0, 0, 0, 2], [0, 0, 2], [0, 0, 1, 0, 1], [0, 1, 0, 0, 1], [-1, -1, -1, -1, -1], [0, 1, 1], [-1, -1, -1, 0, -1, -1], [0, 0, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1], [1, 0, 0, 1], [1, 1], [0, -1, -1, -1, -1, -1], [1, 0, 0, 0, 1], [1, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1], [0, 0, 0, 0, 1, 1], [0, 1, 0, 1], [0, 1, 0, 0, 0, 1], [-1, -1, 0, -1, -1, -1], [-1, -1, -1, -1, 0, -1], [0, 0, 1, 1], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 2, 'HardFactors': [28, 10, 31, 31, 32, 27, 36, 18, 33, 2, 37, 21, 22, 9, 25, 15, 25, 8, 34, 2, 25, 2], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [0, 0, 0, 0, 0, -2], [0, 0, 0, 1]], [[1], [0, 0, 0, -2], [-1, -1, -1, -1, -1, -1]], [[1], [0, -2], [0, 0, 1]], [[1], [2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, -2], [0, 1]], [[1], [0, 0, -2], [0, 0, 0, 0, 1]], [[1], [0, 0, -1, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [1, 1, 1, 1, 1], [0, 0, 0, 0, 1]], [[1], [0, -1, -1], [0, 0, 0, 1]], [[1], [1, 1, 1, 0, 1, 1], [0, 0, 1]], [[1], [0, 0, 0, -1, 0, -1], [0, 1]], [[1], [-1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [-1, 0, 0, -1], [0, 0, 0, 1]], [[1], [-1, -1], [0, 1]], [[1], [0, 1, 1, 1, 1, 1], [-1, -1, -1, -1, -1, -1]], [[1], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 1]], [[1], [-1, 0, -1], [0, 0, 1]], [[1], [1, 0, 1, 1, 1, 1], [1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [0, 0, 0, 0, -1, -1], [0, 0, 1]], [[1], [0, -1, 0, -1], [0, 0, 0, 0, 1]], [[1], [0, -1, 0, 0, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [1, 1, 0, 1, 1, 1], [0, 1]], [[1], [1, 1, 1, 1, 0, 1], [0, 0, 0, 1]], [[1], [0, 0, -1, -1], [0, 0, 0, 0, 0, 1]], [[1], [0], [0, 0, 0, 0, 0, -1]], [[1], [0], [0, -1]], [[1], [0], [0, 0, 0, 0, -1]], [[1], [0], [0, 0, 0, -1]], [[1], [0], [1, 1, 1, 1, 1, 1]], [[1], [0], [0, 0, -1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [-1]]]}, {'Sign': 0, 'Character': [[2], [0], [0, 0, 0, 2], [-2, -2, -2, -2, -2, -2], [0, 0, 2], [0, 0, 0, 0, 0, 2], [0, 2], [0, 0, 0, 0, 2], [0, 1, 0, 0, 1], [0, 1, 1], [0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1], [-1, -1, -1, -1, -1], [-1, -1, -1, 0, -1, -1], [1, 0, 0, 1], [0, -1, -1, -1, -1, -1], [1, 0, 1], [1, 0, 0, 0, 0, 1], [1, 1], [1, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1], [-1, 0, -1, -1, -1, -1], [0, 1, 0, 1], [-1, -1, 0, -1, -1, -1], [0, 0, 1, 1], [0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 0, 1], [-1, -1, -1, -1, 0, -1], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 3, 'HardFactors': [28, 10, 31, 31, 32, 27, 36, 18, 33, 2, 37, 21, 22, 9, 25, 15, 25, 8, 34, 2, 25, 2], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [0, 0, 0, -2], [-1, -1, -1, -1, -1, -1]], [[1], [2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, -2], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, 0, -2], [0, 0, 0, 1]], [[1], [0, -2], [0, 0, 1]], [[1], [0, 0, 0, 0, -2], [0, 1]], [[1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, -1, -1], [0, 0, 0, 1]], [[1], [0, 0, 0, -1, 0, -1], [0, 1]], [[1], [0, 0, -1, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [1, 1, 1, 1, 1], [0, 0, 0, 0, 1]], [[1], [1, 1, 1, 0, 1, 1], [0, 0, 1]], [[1], [-1, 0, 0, -1], [0, 0, 0, 1]], [[1], [0, 1, 1, 1, 1, 1], [-1, -1, -1, -1, -1, -1]], [[1], [-1, 0, -1], [0, 0, 1]], [[1], [-1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [-1, -1], [0, 1]], [[1], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [1, 0, 1, 1, 1, 1], [1]], [[1], [0, -1, 0, -1], [0, 0, 0, 0, 1]], [[1], [1, 1, 0, 1, 1, 1], [0, 1]], [[1], [0, 0, -1, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, -1, -1], [0, 0, 1]], [[1], [0, -1, 0, 0, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [1, 1, 1, 1, 0, 1], [0, 0, 0, 1]], [[1], [0], [0, 0, 0, -1]], [[1], [0], [0, 0, -1]], [[1], [0], [0, -1]], [[1], [0], [1, 1, 1, 1, 1, 1]], [[1], [0], [0, 0, 0, 0, 0, -1]], [[1], [0], [0, 0, 0, 0, -1]], [[1], [0, 0, 0, -1]], [[1], [-1]]]}, {'Sign': 0, 'Character': [[2], [0], [0, 0, 2], [0, 0, 0, 0, 2], [-2, -2, -2, -2, -2, -2], [0, 2], [0, 0, 0, 2], [0, 0, 0, 0, 0, 2], [0, 0, 0, 1, 0, 1], [-1, -1, -1, 0, -1, -1], [0, 1, 1], [-1, -1, -1, -1, -1], [0, 1, 0, 0, 1], [0, 0, 1, 0, 1], [1, 0, 1], [1, 0, 0, 0, 1], [0, -1, -1, -1, -1, -1], [1, 1], [1, 0, 0, 1], [1, 0, 0, 0, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1], [0, 0, 1, 1], [-1, -1, -1, -1, 0, -1], [-1, -1, 0, -1, -1, -1], [0, 1, 0, 0, 0, 1], [0, 1, 0, 1], [0, 0, 0, 0, 1, 1], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 4, 'HardFactors': [28, 10, 31, 31, 32, 27, 36, 18, 33, 2, 37, 21, 22, 9, 25, 15, 25, 8, 34, 2, 25, 2], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [0, 0, -2], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, -2], [0, 1]], [[1], [2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1]], [[1], [0, -2], [0, 0, 1]], [[1], [0, 0, 0, -2], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, 0, 0, -2], [0, 0, 0, 1]], [[1], [0, 0, 0, -1, 0, -1], [0, 1]], [[1], [1, 1, 1, 0, 1, 1], [0, 0, 1]], [[1], [0, -1, -1], [0, 0, 0, 1]], [[1], [1, 1, 1, 1, 1], [0, 0, 0, 0, 1]], [[1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, -1, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [-1, 0, -1], [0, 0, 1]], [[1], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 1]], [[1], [0, 1, 1, 1, 1, 1], [-1, -1, -1, -1, -1, -1]], [[1], [-1, -1], [0, 1]], [[1], [-1, 0, 0, -1], [0, 0, 0, 1]], [[1], [-1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [1, 0, 1, 1, 1, 1], [1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [0, 0, -1, -1], [0, 0, 0, 0, 0, 1]], [[1], [1, 1, 1, 1, 0, 1], [0, 0, 0, 1]], [[1], [1, 1, 0, 1, 1, 1], [0, 1]], [[1], [0, -1, 0, 0, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [0, -1, 0, -1], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, -1, -1], [0, 0, 1]], [[1], [0], [0, 0, -1]], [[1], [0], [1, 1, 1, 1, 1, 1]], [[1], [0], [0, 0, 0, -1]], [[1], [0], [0, 0, 0, 0, -1]], [[1], [0], [0, -1]], [[1], [0], [0, 0, 0, 0, 0, -1]], [[1], [0, 0, -1]], [[1], [-1]]]}, {'Sign': 0, 'Character': [[2], [0], [0, 2], [0, 0, 2], [0, 0, 0, 2], [0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 2], [-2, -2, -2, -2, -2, -2], [-1, -1, -1, -1, -1], [0, 0, 0, 1, 0, 1], [0, 1, 0, 0, 1], [-1, -1, -1, 0, -1, -1], [0, 0, 1, 0, 1], [0, 1, 1], [1, 1], [1, 0, 1], [1, 0, 0, 1], [1, 0, 0, 0, 1], [1, 0, 0, 0, 0, 1], [0, -1, -1, -1, -1, -1], [0, 0, 0, 1, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 1, 0, 0, 0, 1], [0, 0, 1, 1], [0, 1, 0, 1], [-1, -1, -1, -1, 0, -1], [0, 0, 0, 0, 1, 1], [-1, -1, 0, -1, -1, -1], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 5, 'HardFactors': [28, 10, 31, 31, 32, 27, 36, 18, 33, 2, 37, 21, 22, 9, 25, 15, 25, 8, 34, 2, 25, 2], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [0, -2], [0, 0, 1]], [[1], [0, 0, -2], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, -2], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, 0, -2], [0, 1]], [[1], [0, 0, 0, 0, 0, -2], [0, 0, 0, 1]], [[1], [2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1]], [[1], [1, 1, 1, 1, 1], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, -1, 0, -1], [0, 1]], [[1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [1, 1, 1, 0, 1, 1], [0, 0, 1]], [[1], [0, 0, -1, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [0, -1, -1], [0, 0, 0, 1]], [[1], [-1, -1], [0, 1]], [[1], [-1, 0, -1], [0, 0, 1]], [[1], [-1, 0, 0, -1], [0, 0, 0, 1]], [[1], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 1]], [[1], [-1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, 1, 1, 1, 1, 1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [1, 0, 1, 1, 1, 1], [1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [0, -1, 0, 0, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, -1, -1], [0, 0, 0, 0, 0, 1]], [[1], [0, -1, 0, -1], [0, 0, 0, 0, 1]], [[1], [1, 1, 1, 1, 0, 1], [0, 0, 0, 1]], [[1], [0, 0, 0, 0, -1, -1], [0, 0, 1]], [[1], [1, 1, 0, 1, 1, 1], [0, 1]], [[1], [0], [0, -1]], [[1], [0], [0, 0, 0, -1]], [[1], [0], [0, 0, 0, 0, 0, -1]], [[1], [0], [0, 0, -1]], [[1], [0], [0, 0, 0, 0, -1]], [[1], [0], [1, 1, 1, 1, 1, 1]], [[1], [0, -1]], [[1], [-1]]]}, {'Sign': 0, 'Character': [[2], [0], [0, 0, 0, 0, 2], [0, 2], [0, 0, 0, 0, 0, 2], [0, 0, 2], [-2, -2, -2, -2, -2, -2], [0, 0, 0, 2], [-1, -1, -1, 0, -1, -1], [-1, -1, -1, -1, -1], [0, 0, 1, 0, 1], [0, 0, 0, 1, 0, 1], [0, 1, 1], [0, 1, 0, 0, 1], [1, 0, 0, 0, 1], [1, 1], [1, 0, 0, 0, 0, 1], [1, 0, 1], [0, -1, -1, -1, -1, -1], [1, 0, 0, 1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1], [-1, 0, -1, -1, -1, -1], [-1, -1, -1, -1, 0, -1], [0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1], [0, 0, 1, 1], [-1, -1, 0, -1, -1, -1], [0, 1, 0, 1], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 6, 'HardFactors': [28, 10, 31, 31, 32, 27, 36, 18, 33, 2, 37, 21, 22, 9, 25, 15, 25, 8, 34, 2, 25, 2], 'LocalFactors': [[[1], [-2], [1]], [[1], [0], [-1]], [[1], [0, 0, 0, 0, -2], [0, 1]], [[1], [0, -2], [0, 0, 1]], [[1], [0, 0, 0, 0, 0, -2], [0, 0, 0, 1]], [[1], [0, 0, -2], [0, 0, 0, 0, 1]], [[1], [2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, -2], [-1, -1, -1, -1, -1, -1]], [[1], [1, 1, 1, 0, 1, 1], [0, 0, 1]], [[1], [1, 1, 1, 1, 1], [0, 0, 0, 0, 1]], [[1], [0, 0, -1, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, -1, 0, -1], [0, 1]], [[1], [0, -1, -1], [0, 0, 0, 1]], [[1], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [-1, 0, 0, 0, -1], [0, 0, 0, 0, 1]], [[1], [-1, -1], [0, 1]], [[1], [-1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1]], [[1], [-1, 0, -1], [0, 0, 1]], [[1], [0, 1, 1, 1, 1, 1], [-1, -1, -1, -1, -1, -1]], [[1], [-1, 0, 0, -1], [0, 0, 0, 1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [1, 0, 1, 1, 1, 1], [1]], [[1], [1, 1, 1, 1, 0, 1], [0, 0, 0, 1]], [[1], [0, -1, 0, 0, 0, -1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, 0, -1, -1], [0, 0, 1]], [[1], [0, 0, -1, -1], [0, 0, 0, 0, 0, 1]], [[1], [1, 1, 0, 1, 1, 1], [0, 1]], [[1], [0, -1, 0, -1], [0, 0, 0, 0, 1]], [[1], [0], [0, 0, 0, 0, -1]], [[1], [0], [0, 0, 0, 0, 0, -1]], [[1], [0], [1, 1, 1, 1, 1, 1]], [[1], [0], [0, -1]], [[1], [0], [0, 0, -1]], [[1], [0], [0, 0, 0, -1]], [[1], [0, 0, 0, 0, -1]], [[1], [-1]]]}], 'GaloisConjugatesSigns': [0, 0, 0, 0, 0, 0], 'GaloisLabel': '14T8', 'Galt': 8, 'HardPrimes': [2, 3, 5, 7, 11, 13, 23, 47, 53, 103, 127, 151, 179, 233, 877, 1381, 1409, 1733, 3779, 5333, 5651, 65123], 'Hide': 0, 'Indicator': 0, 'Is_Even': False, 'NFGal': [101, -67, 897, -381, 2442, -586, 1941, -587, 309, -127, 103, -20, 8, -3, 1], 'NumBadPrimes': 2, 'Proj_GAP': [14, 1], 'Proj_Polynomial': [-270275, 197245, -79092, 15353, -1576, 22, -3, 1], 'Proj_nTj': [7, 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

  
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[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 4, 'Baselabel': '2.2921.14t8.a', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 2, 0], [-2, -2, -2, -2, -2, -2], [0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 2], [0, 0, 0, 1, 0, 1], [-1, -1, -1, 0, -1, -1], [0, 1, 1, 0, 0, 0], [-1, -1, -1, -1, -1, 0], [0, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 0], [1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 1, 0], [0, -1, -1, -1, -1, -1], [1, 1, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0], [1, 0, 0, 0, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [0, 0, 1, 1, 0, 0], [-1, -1, -1, -1, 0, -1], [-1, -1, 0, -1, -1, -1], [0, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 2, 'Baselabel': '2.370967.7t2.a', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [-1, 0, -1, -1, -1, -1], [0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [-1, 0, -1, -1, -1, -1], [0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 2, 'Baselabel': '2.370967.14t8.b', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2], [0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 0], [-2, -2, -2, -2, -2, -2], [0, 0, 0, 0, 2, 0], [0, 0, 2, 0, 0, 0], [0, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0], [0, 1, 0, 1, 0, 0], [-1, -1, -1, -1, 0, -1], [0, 0, 0, 0, 1, 1], [-1, -1, 0, -1, -1, -1], [0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0], [-1, -1, -1, -1, -1, 0], [-1, -1, -1, 0, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 1, 0], [0, -1, -1, -1, -1, -1], [1, 1, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0], [1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 5, 'Baselabel': '2.370967.14t8.b', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2], [-2, -2, -2, -2, -2, -2], [0, 1, 0, 1, 0, 0], [-1, -1, 0, -1, -1, -1], [0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 0, 1], [-1, -1, -1, -1, 0, -1], [0, 0, 0, 1, 0, 1], [-1, -1, -1, 0, -1, -1], [0, 1, 1, 0, 0, 0], [-1, -1, -1, -1, -1, 0], [0, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [0, -1, -1, -1, -1, -1], [1, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0], [1, 0, 1, 0, 0, 0], [1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 5, 'Baselabel': '2.370967.14t8.a', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2], [-2, -2, -2, -2, -2, -2], [1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0], [0, -1, -1, -1, -1, -1], [1, 0, 0, 1, 0, 0], [-1, -1, 0, -1, -1, -1], [0, 0, 0, 0, 1, 1], [-1, -1, -1, -1, 0, -1], [0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 1, 0], [0, 1, 0, 0, 1, 0], [-1, -1, -1, -1, -1, 0], [0, 1, 1, 0, 0, 0], [-1, -1, -1, 0, -1, -1], [0, 0, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 3, 'Baselabel': '2.2921.14t8.a', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0], [-2, -2, -2, -2, -2, -2], [0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0], [0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0], [-1, -1, -1, -1, -1, 0], [-1, -1, -1, 0, -1, -1], [1, 0, 0, 1, 0, 0], [0, -1, -1, -1, -1, -1], [1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 1, 0, 1, 0, 0], [-1, -1, 0, -1, -1, -1], [0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 0, 1], [-1, -1, -1, -1, 0, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 2, 'Baselabel': '2.370967.14t8.a', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2], [0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 0], [-2, -2, -2, -2, -2, -2], [0, 0, 0, 0, 2, 0], [0, 0, 2, 0, 0, 0], [0, -1, -1, -1, -1, -1], [1, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0], [1, 0, 1, 0, 0, 0], [1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0], [-1, -1, -1, -1, 0, -1], [-1, -1, 0, -1, -1, -1], [0, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [-1, -1, -1, 0, -1, -1], [-1, -1, -1, -1, -1, 0], [0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1], [0, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 4, 'Baselabel': '2.370967.14t8.b', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 2, 0], [-2, -2, -2, -2, -2, -2], [0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 2], [-1, -1, 0, -1, -1, -1], [0, 0, 0, 0, 1, 1], [-1, -1, -1, -1, 0, -1], [0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 1], [-1, -1, -1, 0, -1, -1], [-1, -1, -1, -1, -1, 0], [0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1], [0, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [1, 0, 0, 0, 0, 1], [1, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 0], [0, -1, -1, -1, -1, -1], [1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 3, 'Baselabel': '2.370967.14t8.a', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0], [-2, -2, -2, -2, -2, -2], [0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0], [1, 0, 0, 0, 0, 1], [1, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 0], [0, -1, -1, -1, -1, -1], [1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 0], [-1, -1, -1, -1, 0, -1], [0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 0], [-1, -1, 0, -1, -1, -1], [0, 1, 0, 1, 0, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, -1, -1, -1, -1, 0], [0, 0, 0, 1, 0, 1], [0, 1, 0, 0, 1, 0], [-1, -1, -1, 0, -1, -1], [0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}], 'ComplexConjugation': 2, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]}, {'Size': '7', 'Order': 2, 'Representative': [10, 11, 4, 3, 7, 13, 5, 14, 12, 1, 2, 9, 6, 8]}, {'Size': '1', 'Order': 7, 'Representative': [13, 1, 7, 5, 9, 8, 12, 3, 2, 6, 10, 11, 14, 4]}, {'Size': '1', 'Order': 7, 'Representative': [14, 13, 12, 9, 2, 3, 11, 7, 1, 8, 6, 10, 4, 5]}, {'Size': '1', 'Order': 7, 'Representative': [4, 14, 11, 2, 1, 7, 10, 12, 13, 3, 8, 6, 5, 9]}, {'Size': '1', 'Order': 7, 'Representative': [5, 4, 10, 1, 13, 12, 6, 11, 14, 7, 3, 8, 9, 2]}, {'Size': '1', 'Order': 7, 'Representative': [9, 5, 6, 13, 14, 11, 8, 10, 4, 12, 7, 3, 2, 1]}, {'Size': '1', 'Order': 7, 'Representative': [2, 9, 8, 14, 4, 10, 3, 6, 5, 11, 12, 7, 1, 13]}, {'Size': '2', 'Order': 7, 'Representative': [2, 9, 6, 14, 4, 11, 8, 10, 5, 12, 7, 3, 1, 13]}, {'Size': '2', 'Order': 7, 'Representative': [9, 5, 11, 13, 14, 7, 10, 12, 4, 3, 8, 6, 2, 1]}, {'Size': '2', 'Order': 7, 'Representative': [5, 4, 7, 1, 13, 8, 12, 3, 14, 6, 10, 11, 9, 2]}, {'Size': '2', 'Order': 7, 'Representative': [4, 14, 8, 2, 1, 10, 3, 6, 13, 11, 12, 7, 5, 9]}, {'Size': '2', 'Order': 7, 'Representative': [14, 13, 10, 9, 2, 12, 6, 11, 1, 7, 3, 8, 4, 5]}, {'Size': '2', 'Order': 7, 'Representative': [13, 1, 12, 5, 9, 3, 11, 7, 2, 8, 6, 10, 14, 4]}, {'Size': '2', 'Order': 7, 'Representative': [13, 1, 3, 5, 9, 6, 7, 8, 2, 10, 11, 12, 14, 4]}, {'Size': '2', 'Order': 7, 'Representative': [14, 13, 3, 9, 2, 6, 7, 8, 1, 10, 11, 12, 4, 5]}, {'Size': '2', 'Order': 7, 'Representative': [4, 14, 3, 2, 1, 6, 7, 8, 13, 10, 11, 12, 5, 9]}, {'Size': '2', 'Order': 7, 'Representative': [5, 4, 3, 1, 13, 6, 7, 8, 14, 10, 11, 12, 9, 2]}, {'Size': '2', 'Order': 7, 'Representative': [9, 5, 3, 13, 14, 6, 7, 8, 4, 10, 11, 12, 2, 1]}, {'Size': '2', 'Order': 7, 'Representative': [2, 9, 3, 14, 4, 6, 7, 8, 5, 10, 11, 12, 1, 13]}, {'Size': '2', 'Order': 7, 'Representative': [4, 14, 10, 2, 1, 12, 6, 11, 13, 7, 3, 8, 5, 9]}, {'Size': '2', 'Order': 7, 'Representative': [2, 9, 7, 14, 4, 8, 12, 3, 5, 6, 10, 11, 1, 13]}, {'Size': '2', 'Order': 7, 'Representative': [14, 13, 6, 9, 2, 11, 8, 10, 1, 12, 7, 3, 4, 5]}, {'Size': '2', 'Order': 7, 'Representative': [13, 1, 6, 5, 9, 11, 8, 10, 2, 12, 7, 3, 14, 4]}, {'Size': '2', 'Order': 7, 'Representative': [14, 13, 11, 9, 2, 7, 10, 12, 1, 3, 8, 6, 4, 5]}, {'Size': '2', 'Order': 7, 'Representative': [4, 14, 7, 2, 1, 8, 12, 3, 13, 6, 10, 11, 5, 9]}, {'Size': '2', 'Order': 7, 'Representative': [5, 4, 8, 1, 13, 10, 3, 6, 14, 11, 12, 7, 9, 2]}, {'Size': '2', 'Order': 7, 'Representative': [9, 5, 10, 13, 14, 12, 6, 11, 4, 7, 3, 8, 2, 1]}, {'Size': '2', 'Order': 7, 'Representative': [2, 9, 12, 14, 4, 3, 11, 7, 5, 8, 6, 10, 1, 13]}, {'Size': '7', 'Order': 14, 'Representative': [7, 3, 1, 10, 6, 9, 13, 2, 8, 5, 4, 14, 12, 11]}, {'Size': '7', 'Order': 14, 'Representative': [12, 7, 13, 6, 8, 2, 14, 1, 3, 9, 5, 4, 11, 10]}, {'Size': '7', 'Order': 14, 'Representative': [11, 12, 14, 8, 3, 1, 4, 13, 7, 2, 9, 5, 10, 6]}, {'Size': '7', 'Order': 14, 'Representative': [6, 10, 5, 7, 12, 14, 9, 4, 11, 13, 1, 2, 8, 3]}, {'Size': '7', 'Order': 14, 'Representative': [8, 6, 9, 12, 11, 4, 2, 5, 10, 14, 13, 1, 3, 7]}, {'Size': '7', 'Order': 14, 'Representative': [3, 8, 2, 11, 10, 5, 1, 9, 6, 4, 14, 13, 7, 12]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['225', '-30', '1'], 'ConjugacyClass': 15}, {'RootOf': ['3198', '-25', '1'], 'ConjugacyClass': 16}, {'RootOf': ['1871', '-72', '1'], 'ConjugacyClass': 17}, {'RootOf': ['1867', '-4', '1'], 'ConjugacyClass': 18}, {'RootOf': ['729', '38', '1'], 'ConjugacyClass': 19}, {'RootOf': ['1044', '17', '1'], 'ConjugacyClass': 20}], 'Algorithm': 'RES', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 7]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2, 2, 2, 2, 2, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-15', '1'], 'ConjugacyClass': 3}, {'RootOf': ['-10', '1'], 'ConjugacyClass': 4}, {'RootOf': ['-57', '1'], 'ConjugacyClass': 5}, {'RootOf': ['11', '1'], 'ConjugacyClass': 6}, {'RootOf': ['53', '1'], 'ConjugacyClass': 7}, {'RootOf': ['32', '1'], 'ConjugacyClass': 8}, {'RootOf': ['1950', '85', '1'], 'ConjugacyClass': 9}, {'RootOf': ['27', '-4', '1'], 'ConjugacyClass': 10}, {'RootOf': ['1867', '-4', '1'], 'ConjugacyClass': 11}, {'RootOf': ['208', '-25', '1'], 'ConjugacyClass': 12}, {'RootOf': ['144', '1', '1'], 'ConjugacyClass': 13}, {'RootOf': ['3198', '-25', '1'], 'ConjugacyClass': 14}, {'RootOf': ['897', '-46', '1'], 'ConjugacyClass': 21}, {'RootOf': ['1044', '17', '1'], 'ConjugacyClass': 22}, {'RootOf': ['1756', '43', '1'], 'ConjugacyClass': 23}, {'RootOf': ['729', '38', '1'], 'ConjugacyClass': 24}, {'RootOf': ['2094', '-67', '1'], 'ConjugacyClass': 25}, {'RootOf': ['1871', '-72', '1'], 'ConjugacyClass': 26}, {'RootOf': ['606', '43', '1'], 'ConjugacyClass': 27}, {'RootOf': ['1599', '64', '1'], 'ConjugacyClass': 28}, {'RootOf': ['696', '22', '1'], 'ConjugacyClass': 29}], 'Algorithm': 'RES', 'CycleType': [7, 7]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-131337737', '30842296', '15882', '-73181', '-12842', '280', '22', '1'], 'ConjugacyClass': 30}, {'RootOf': ['-374529275', '-77235720', '431426', '1248127', '47864', '534', '22', '1'], 'ConjugacyClass': 31}, {'RootOf': ['-35875582987', '-1096191010', '61088912', '136623', '-50688', '1296', '22', '1'], 'ConjugacyClass': 32}, {'RootOf': ['2435906176', '197156416', '-18213952', '-3007008', '133208', '2312', '22', '1'], 'ConjugacyClass': 33}, {'RootOf': ['7017564145', '3312220036', '-53440450', '1681197', '104506', '-482', '22', '1'], 'ConjugacyClass': 34}, {'RootOf': ['27102110209', '643909904', '-30748598', '-1490501', '-4206', '-482', '22', '1'], 'ConjugacyClass': 35}], 'Algorithm': 'RES', 'CycleType': [14]}], 'Frobs': [28, 10, 31, 31, 32, 27, 31, 2, 33, 15, 26, 2, 17, 30, 18, 33, 22, 30, 30, 16, 19, 33, 33, 33, 35, 19, 2, 2, 34, 32, 1, 26, 32, 19, 2, 21, 35, 13, 3, 9, 22, 32, 32, 29, 15, 30, 29, 9, 31, 35, 9, 26, 31, 30, 10, 33, 9, 27, 16, 31, 30, 34, 16, 29, 2, 25, 29, 33, 19, 27, 21, 2, 32, 35, 33, 33, 35, 15, 2, 23, 33, 33, 30, 2, 14, 24, 22, 34, 18, 19, 31, 30, 4, 17, 16, 31, 23, 31, 34, 20, 26, 35, 30, 30, 32, 17, 3, 20, 13, 11, 21, 2, 34, 30, 34, 31, 35, 19, 4, 2, 32, 28, 35, 28, 3, 30, 33, 29, 35, 30, 12, 2, 32, 31, 22, 31, 32, 35, 35, 26, 13, 23, 10, 35, 15, 30, 13, 14, 24, 25, 25, 35, 7, 28, 34, 2, 35, 28, 33, 2, 27, 32, 5, 32, 34, 35, 24, 23], 'G-Gens': [[13, 1, 3, 5, 9, 6, 7, 8, 2, 10, 11, 12, 14, 4], [2, 9, 6, 14, 4, 11, 8, 10, 5, 12, 7, 3, 1, 13], [7, 3, 1, 10, 6, 9, 13, 2, 8, 5, 4, 14, 12, 11]], 'G-Name': 'C7*D14', 'Polynomial': [101, -67, 897, -381, 2442, -586, 1941, -587, 309, -127, 103, -20, 8, -3, 1], 'QpRts': [['163456843416442690013', '76030303670327064153', '84842858988025048016', '-356463766298793842479', '181727415768237334371', '-269178204805586357929', '-338749679350820994556'], ['28225129216915330874', '350782883223880332646', '19713131319400539145', '-82116190951670538811', '-216688872162702732189', '-104201244517074687909', '-118048044973204753391'], ['95733746125730557351', '-165303334166125707105', '169749555900194396169', '208259000304765107943', '-269490679921354422836', '182353635065632917859', '262666732872958289653'], ['-182825750680754647902', '-100538718709138808967', '357129259058726739153', '171701373683233877831', '-133322269809292547859', '200508147779800603557', '-111959426446887621856'], ['192446449771527062415', '34276243645392564577', '357337704381377670735', '206933432138923503348', '314111451384733819252', '131703568631167639927', '-52613826862957119980'], ['62334620853936762945', '242176292921640791594', '109243310443050633177', '155418892053776112239', '-320493333274191213765', '222302737600371914778', '-28613558351066577261'], ['141220782432492494252', '-311318624672948218748', '24961670448676771772', '117571868629031594156', '-27156240757617722844', '265785122572673923320', '189577619360714495984'], ['-86914484352350040359', '-190550723673854046371', '-209132572677603072984', '-179384726288200174441', '237398829185529746348', '332831637910167862749', '49577130648530925658'], ['122253702634557440191', '123645674974921046696', '-288850666113520649135', '136463347166948514305', '151668658291065664495', '-92463539136184862544', '117809279884177094199'], ['-189207112567151719247', '74455189481437940483', '-79767190022421409439', '-88448786145631199492', '-211025396047904532034', '342685334192272137110', '-69764268935404366378'], ['37826618061256159618', '-154488315952369219906', '-333107869396074692786', '324143516714851538291', '-68596973233976684256', '317825395205105754558', '-183363550812660001196'], ['-209914409690753730700', '-251914419158577860268', '318053095304177374091', '219384169952203341625', '-97580141171281490934', '-149895992104631869732', '-220080104783072766460'], ['-221401481879946901712', '-213770512360988880361', '230616504365384833666', '-15395366725607016287', '284962980517984456416', '135775841275122496547', '95350198894320188806'], ['46765346658098542264', '-270425874444393318744', '-3844856778597861259', '-61122829013034497907', '174484571230770325835', '-2144569227244831649', '-348732436365423113543']], 'QpRts-minpoly': [28, 1, 0, 0, 0, 0, 0, 1], 'QpRts-p': 31, 'QpRts-prec': 14, 'Size': 98, 'TransitiveDegree': 14}