Artin representation data - 2.3364.14t8.d

Formats: - HTML - YAML - JSON - 2024-04-27T08:29:54.185850

• 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, 29], 'Baselabel': '2.3364.14t8.d', 'CharacterField': 7, 'Conductor': 3364, 'Container': '14t8', 'Dets': ['1.116.14t1.b.a', '1.116.14t1.b.b', '1.116.14t1.b.c', '1.116.14t1.b.d', '1.116.14t1.b.e', '1.116.14t1.b.f'], 'Dim': 2, 'GalConjSigns': [0, 0, 0, 0, 0, 0], 'Galn': 14, 'GaloisConjugates': [{'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, 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, 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, 0, 0, 1, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 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], [0], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [36, 32, 27, 32, 25, 21, 37, 22, 29, 20, 27, 26, 23, 21, 9, 23, 7], '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, 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, -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, 0, 0, -1, -1], [1]], [[1], [1, 0, 1, 1, 1, 1], [1]], [[1], [0, 0, -1, 0, 0, -1], [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, 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, 0, 0, -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], [-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, 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], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1], [-1, 0, -1, -1, -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], [0], [0], [0], [0]], 'GalOrbIndex': 2, 'HardFactors': [36, 32, 27, 32, 25, 21, 37, 22, 29, 20, 27, 26, 23, 21, 9, 23, 7], '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], [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, 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], [0, 0, -1, 0, 0, -1], [1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [1, 0, 1, 1, 1, 1], [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, 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], [1, 1, 1, 1, 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], [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], [-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], [0, 0, 0, 1, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 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], [0], [0], [0]], 'GalOrbIndex': 3, 'HardFactors': [36, 32, 27, 32, 25, 21, 37, 22, 29, 20, 27, 26, 23, 21, 9, 23, 7], '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], [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], [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], [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], [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, 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, -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, 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, 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, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 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], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 4, 'HardFactors': [36, 32, 27, 32, 25, 21, 37, 22, 29, 20, 27, 26, 23, 21, 9, 23, 7], '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, 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, -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, 1, 1, 1], [1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [0, 0, 0, -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], [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, 0, 0, 0, -1]], [[1]]]}, {'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, 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, 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, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 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], [0], [0], [0], [0], [0], [0]], 'GalOrbIndex': 5, 'HardFactors': [36, 32, 27, 32, 25, 21, 37, 22, 29, 20, 27, 26, 23, 21, 9, 23, 7], '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, 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, -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, 1, 1, 1, 1], [1]], [[1], [0, 0, -1, 0, 0, -1], [1]], [[1], [0, 0, 0, -1, -1], [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], [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], [0, 0, 0, -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, 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], [-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], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1], [-1, 0, -1, -1, -1, -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], [0], [0], [0], [0]], 'GalOrbIndex': 6, 'HardFactors': [36, 32, 27, 32, 25, 21, 37, 22, 29, 20, 27, 26, 23, 21, 9, 23, 7], '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, -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], [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], [0, 0, -1, 0, 0, -1], [1]], [[1], [0, 0, 0, -1, -1], [1]], [[1], [1, 0, 1, 1, 1, 1], [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, 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, -1]], [[1]]]}], 'GaloisConjugatesSigns': [0, 0, 0, 0, 0, 0], 'GaloisLabel': '14T8', 'Galt': 8, 'HardPrimes': [2, 3, 5, 7, 13, 17, 29, 41, 61, 73, 89, 101, 157, 173, 241, 521, 1181], 'Hide': 0, 'Indicator': 0, 'Is_Even': False, 'NFGal': [1, -6, 19, -36, 46, -38, 13, 16, -30, 24, -8, -4, 7, -4, 1], 'NumBadPrimes': 2, 'Proj_GAP': [14, 1], 'Proj_Polynomial': [162, -36, -9, 35, -14, 8, -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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1, 0, 1, 0], [-1, -1, -1, -1, -1, 0], [-1, -1, -1, 0, -1, -1], [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], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -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], [0, 0, 1, 1, 0, 0], [0, 1, 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': 3, 'Baselabel': '2.3364.14t8.d', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2], [0, 0, 2, 0, 0, 0], [-2, -2, -2, -2, -2, -2], [0, 0, 0, 2, 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], [-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, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0], [1, 0, 0, 1, 0, 0], [1, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 1], [0, -1, -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': 4, 'Baselabel': '2.3364.14t8.d', '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, -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], [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], [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': 2, 'Baselabel': '2.116.14t8.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, 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, 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, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 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], [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': '2.116.14t8.b', 'Character': [[2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-2, -2, -2, -2, -2, -2], [0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 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, -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, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [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': 1, 'Baselabel': '2.3364.14t8.c', '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, 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, -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], [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': 1, 'Baselabel': '2.3364.7t2.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], [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, 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': [11, 3, 2, 10, 12, 13, 14, 9, 8, 4, 1, 5, 6, 7]}, {'Size': '1', 'Order': 7, 'Representative': [5, 14, 7, 9, 3, 4, 6, 11, 1, 8, 12, 2, 10, 13]}, {'Size': '1', 'Order': 7, 'Representative': [3, 13, 6, 1, 7, 9, 4, 12, 5, 11, 2, 14, 8, 10]}, {'Size': '1', 'Order': 7, 'Representative': [7, 10, 4, 5, 6, 1, 9, 2, 3, 12, 14, 13, 11, 8]}, {'Size': '1', 'Order': 7, 'Representative': [6, 8, 9, 3, 4, 5, 1, 14, 7, 2, 13, 10, 12, 11]}, {'Size': '1', 'Order': 7, 'Representative': [4, 11, 1, 7, 9, 3, 5, 13, 6, 14, 10, 8, 2, 12]}, {'Size': '1', 'Order': 7, 'Representative': [9, 12, 5, 6, 1, 7, 3, 10, 4, 13, 8, 11, 14, 2]}, {'Size': '2', 'Order': 7, 'Representative': [3, 14, 6, 1, 7, 9, 4, 11, 5, 8, 12, 2, 10, 13]}, {'Size': '2', 'Order': 7, 'Representative': [6, 13, 9, 3, 4, 5, 1, 12, 7, 11, 2, 14, 8, 10]}, {'Size': '2', 'Order': 7, 'Representative': [9, 10, 5, 6, 1, 7, 3, 2, 4, 12, 14, 13, 11, 8]}, {'Size': '2', 'Order': 7, 'Representative': [5, 8, 7, 9, 3, 4, 6, 14, 1, 2, 13, 10, 12, 11]}, {'Size': '2', 'Order': 7, 'Representative': [7, 11, 4, 5, 6, 1, 9, 13, 3, 14, 10, 8, 2, 12]}, {'Size': '2', 'Order': 7, 'Representative': [4, 12, 1, 7, 9, 3, 5, 10, 6, 13, 8, 11, 14, 2]}, {'Size': '2', 'Order': 7, 'Representative': [1, 14, 3, 4, 5, 6, 7, 11, 9, 8, 12, 2, 10, 13]}, {'Size': '2', 'Order': 7, 'Representative': [1, 13, 3, 4, 5, 6, 7, 12, 9, 11, 2, 14, 8, 10]}, {'Size': '2', 'Order': 7, 'Representative': [1, 10, 3, 4, 5, 6, 7, 2, 9, 12, 14, 13, 11, 8]}, {'Size': '2', 'Order': 7, 'Representative': [1, 8, 3, 4, 5, 6, 7, 14, 9, 2, 13, 10, 12, 11]}, {'Size': '2', 'Order': 7, 'Representative': [1, 11, 3, 4, 5, 6, 7, 13, 9, 14, 10, 8, 2, 12]}, {'Size': '2', 'Order': 7, 'Representative': [1, 12, 3, 4, 5, 6, 7, 10, 9, 13, 8, 11, 14, 2]}, {'Size': '2', 'Order': 7, 'Representative': [7, 8, 4, 5, 6, 1, 9, 14, 3, 2, 13, 10, 12, 11]}, {'Size': '2', 'Order': 7, 'Representative': [9, 14, 5, 6, 1, 7, 3, 11, 4, 8, 12, 2, 10, 13]}, {'Size': '2', 'Order': 7, 'Representative': [3, 11, 6, 1, 7, 9, 4, 13, 5, 14, 10, 8, 2, 12]}, {'Size': '2', 'Order': 7, 'Representative': [6, 11, 9, 3, 4, 5, 1, 13, 7, 14, 10, 8, 2, 12]}, {'Size': '2', 'Order': 7, 'Representative': [5, 10, 7, 9, 3, 4, 6, 2, 1, 12, 14, 13, 11, 8]}, {'Size': '2', 'Order': 7, 'Representative': [4, 14, 1, 7, 9, 3, 5, 11, 6, 8, 12, 2, 10, 13]}, {'Size': '2', 'Order': 7, 'Representative': [3, 12, 6, 1, 7, 9, 4, 10, 5, 13, 8, 11, 14, 2]}, {'Size': '2', 'Order': 7, 'Representative': [9, 8, 5, 6, 1, 7, 3, 14, 4, 2, 13, 10, 12, 11]}, {'Size': '2', 'Order': 7, 'Representative': [7, 13, 4, 5, 6, 1, 9, 12, 3, 11, 2, 14, 8, 10]}, {'Size': '7', 'Order': 14, 'Representative': [13, 9, 8, 2, 10, 12, 11, 7, 14, 3, 6, 4, 5, 1]}, {'Size': '7', 'Order': 14, 'Representative': [10, 1, 11, 14, 8, 2, 12, 6, 13, 7, 4, 9, 3, 5]}, {'Size': '7', 'Order': 14, 'Representative': [8, 5, 12, 13, 11, 14, 2, 4, 10, 6, 9, 1, 7, 3]}, {'Size': '7', 'Order': 14, 'Representative': [12, 7, 14, 8, 2, 10, 13, 1, 11, 9, 5, 3, 4, 6]}, {'Size': '7', 'Order': 14, 'Representative': [2, 6, 13, 11, 14, 8, 10, 5, 12, 1, 3, 7, 9, 4]}, {'Size': '7', 'Order': 14, 'Representative': [14, 4, 10, 12, 13, 11, 8, 3, 2, 5, 7, 6, 1, 9]}], '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': [-5, 11, -7, 1]}, 'Classes': [{'RootOf': ['4896', '-72', '1'], 'ConjugacyClass': 15}, {'RootOf': ['757', '-18', '1'], 'ConjugacyClass': 16}, {'RootOf': ['2770', '-82', '1'], 'ConjugacyClass': 17}, {'RootOf': ['397', '-12', '1'], 'ConjugacyClass': 18}, {'RootOf': ['821', '-50', '1'], 'ConjugacyClass': 19}, {'RootOf': ['5897', '22', '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': [-5, 11, -7, 1]}, 'Classes': [{'RootOf': ['-12', '1'], 'ConjugacyClass': 3}, {'RootOf': ['42', '1'], 'ConjugacyClass': 4}, {'RootOf': ['-22', '1'], 'ConjugacyClass': 5}, {'RootOf': ['48', '1'], 'ConjugacyClass': 6}, {'RootOf': ['10', '1'], 'ConjugacyClass': 7}, {'RootOf': ['82', '1'], 'ConjugacyClass': 8}, {'RootOf': ['1381', '30', '1'], 'ConjugacyClass': 9}, {'RootOf': ['2074', '90', '1'], 'ConjugacyClass': 10}, {'RootOf': ['2749', '60', '1'], 'ConjugacyClass': 11}, {'RootOf': ['2005', '36', '1'], 'ConjugacyClass': 12}, {'RootOf': ['2245', '-12', '1'], 'ConjugacyClass': 13}, {'RootOf': ['10216', '92', '1'], 'ConjugacyClass': 14}, {'RootOf': ['365', '26', '1'], 'ConjugacyClass': 21}, {'RootOf': ['1481', '70', '1'], 'ConjugacyClass': 22}, {'RootOf': ['2276', '52', '1'], 'ConjugacyClass': 23}, {'RootOf': ['1930', '58', '1'], 'ConjugacyClass': 24}, {'RootOf': ['1018', '-34', '1'], 'ConjugacyClass': 25}, {'RootOf': ['5477', '-2', '1'], 'ConjugacyClass': 26}, {'RootOf': ['6344', '124', '1'], 'ConjugacyClass': 27}, {'RootOf': ['7474', '130', '1'], 'ConjugacyClass': 28}, {'RootOf': ['149', '20', '1'], 'ConjugacyClass': 29}], 'Algorithm': 'RES', 'CycleType': [7, 7]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-3584', '5248', '-1712', '-152', '220', '-14', '-8', '1'], 'ConjugacyClass': 30}, {'RootOf': ['7088', '-5656', '2580', '-790', '104', '15', '-8', '1'], 'ConjugacyClass': 31}, {'RootOf': ['-684', '318', '-436', '109', '-128', '44', '-8', '1'], 'ConjugacyClass': 32}, {'RootOf': ['-1728', '8786', '1246', '109', '-186', '44', '-8', '1'], 'ConjugacyClass': 33}, {'RootOf': ['-17852', '14934', '-4380', '1153', '-360', '44', '-8', '1'], 'ConjugacyClass': 34}, {'RootOf': ['23328', '-1944', '-1944', '254', '46', '15', '-8', '1'], 'ConjugacyClass': 35}], 'Algorithm': 'RES', 'CycleType': [14]}], 'Frobs': [30, 32, 27, 32, 34, 25, 21, 33, 35, 16, 30, 28, 22, 35, 34, 15, 2, 29, 31, 34, 20, 31, 33, 27, 16, 26, 34, 31, 19, 12, 34, 35, 17, 35, 24, 35, 23, 34, 32, 21, 30, 12, 2, 11, 26, 33, 31, 31, 30, 29, 23, 32, 9, 33, 16, 30, 17, 33, 14, 28, 32, 19, 2, 31, 20, 15, 2, 25, 2, 21, 13, 34, 33, 11, 30, 35, 21, 9, 13, 12, 34, 5, 33, 6, 33, 31, 20, 12, 8, 2, 32, 35, 35, 30, 35, 33, 25, 23, 2, 16, 33, 10, 2, 25, 31, 19, 32, 14, 33, 7, 30, 16, 17, 33, 32, 8, 30, 31, 10, 31, 10, 26, 11, 34, 30, 15, 18, 35, 30, 7, 35, 34, 32, 12, 12, 26, 11, 33, 10, 19, 2, 9, 34, 35, 22, 30, 23, 4, 34, 32, 8, 14, 34, 2, 31, 2, 31, 22, 17, 4, 33, 16, 33, 35, 17, 32, 30, 18], 'G-Gens': [[7, 10, 4, 5, 6, 1, 9, 2, 3, 12, 14, 13, 11, 8], [1, 14, 3, 4, 5, 6, 7, 11, 9, 8, 12, 2, 10, 13], [13, 9, 8, 2, 10, 12, 11, 7, 14, 3, 6, 4, 5, 1]], 'G-Name': 'C7*D14', 'Polynomial': [1, -6, 19, -36, 46, -38, 13, 16, -30, 24, -8, -4, 7, -4, 1], 'QpRts': [['494497389120', '-6256401028981', '7087941965160', '-1327575503697', '-12936013256073', '4217415227463', '-13202134413506'], ['-12189044983199', '-2070901652502', '14170463202505', '-14822795531907', '-193348365354', '-2072426391745', '-12210762042714'], ['-6479088884166', '-8738782922792', '-10212517123256', '-1097220740101', '15530367399206', '7918203866696', '-5312147890945'], ['-15942782204637', '10162028481767', '1856813440673', '-14437951064170', '13558342444425', '13575290393243', '9475723288341'], ['-11614008265087', '2637927688562', '-10448826525397', '443297659998', '-13926098884363', '-15696842966499', '16560556147837'], ['8107335755083', '4742334702931', '9631848875864', '-9100259185621', '6213234749447', '-14549372427049', '-3418024713412'], ['8378145378981', '-5937576836480', '10731947520187', '14638687372214', '11763706821082', '-9904299498501', '-2439698880321'], ['14747825366794', '5002070159397', '1675696175317', '4061126120877', '6016977101342', '-14360644433497', '6116052826756'], ['11457963713254', '3390469914993', '-8647208153231', '10881021461377', '14068357033909', '14439605404647', '-1664273537994'], ['2828121494422', '-3206494215788', '7273485154690', '5682250616679', '-5248883133131', '-1862487171441', '10669175445992'], ['5052415842057', '-15334586343767', '9535010792472', '3325242933212', '15613262456847', '-13825023612337', '16121410443456'], ['11092155911688', '-8832749484352', '-3077843816632', '-9614560948978', '1975354502269', '-16810857058708', '12424620356216'], ['-3036501239540', '-12122870104859', '-11391740973997', '10717945045356', '-7107426510900', '12792980434245', '1531029714393'], ['-12897035274766', '2293635334238', '16086825773278', '650791764761', '-11055936051073', '1866561925850', '-379630436466']], 'QpRts-minpoly': [14, 12, 0, 0, 0, 0, 0, 1], 'QpRts-p': 17, 'QpRts-prec': 11, 'Size': 98, 'TransitiveDegree': 14}