Artin representation data - 2.35287.14t8.b

Formats: - HTML - YAML - JSON - 2026-02-02T01:00:00.938742

• 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': [7, 71], 'Baselabel': '2.35287.14t8.b', 'CharacterField': 7, 'Conductor': 35287, 'Container': '14t8', 'Dets': ['1.497.14t1.a.a', '1.497.14t1.a.b', '1.497.14t1.a.c', '1.497.14t1.a.d', '1.497.14t1.a.e', '1.497.14t1.a.f'], 'Dim': 2, 'GalConjSigns': [0, 0, 0, 0, 0, 0], 'Galn': 14, 'GaloisConjugates': [{'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, 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, 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, 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': 1, 'HardFactors': [12, 2, 36, 26, 34, 11, 15, 14, 37, 13, 29, 1, 6, 10, 33, 13, 1, 7, 22, 32, 30], '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, -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, 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, -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, 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, 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, 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], [-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, 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': 2, 'HardFactors': [12, 2, 36, 26, 34, 11, 15, 14, 37, 13, 29, 1, 6, 10, 33, 13, 1, 7, 22, 32, 30], '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, -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], [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, 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], [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, 2], [-2, -2, -2, -2, -2, -2], [0, 0, 2], [0, 0, 0, 0, 0, 2], [0, 2], [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, 1, 1], [0, 1, 0, 0, 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, 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': 3, 'HardFactors': [12, 2, 36, 26, 34, 11, 15, 14, 37, 13, 29, 1, 6, 10, 33, 13, 1, 7, 22, 32, 30], '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], [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, 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, 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, -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, 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], [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, 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, 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': 4, 'HardFactors': [12, 2, 36, 26, 34, 11, 15, 14, 37, 13, 29, 1, 6, 10, 33, 13, 1, 7, 22, 32, 30], '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], [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, -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, -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, -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, 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], [-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], [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': 5, 'HardFactors': [12, 2, 36, 26, 34, 11, 15, 14, 37, 13, 29, 1, 6, 10, 33, 13, 1, 7, 22, 32, 30], '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, 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], [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], [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], [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], [-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, 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], [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': 6, 'HardFactors': [12, 2, 36, 26, 34, 11, 15, 14, 37, 13, 29, 1, 6, 10, 33, 13, 1, 7, 22, 32, 30], '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], [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, -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], [-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, 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, 5, 7, 11, 13, 23, 29, 53, 71, 79, 179, 443, 541, 1429, 4877, 4957, 5623, 14723, 15737, 51673, 1235093], 'Hide': 0, 'Indicator': 0, 'Is_Even': False, 'NFGal': [25, -90, 173, -230, 232, -177, 119, -71, 55, -35, 26, -7, 5, -1, 1], 'NumBadPrimes': 2, 'Proj_GAP': [14, 1], 'Proj_Polynomial': [1917, 2627, 1562, 142, -142, 0, 0, 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, 0], [-1, -1, -1, -1, 0, -1], [0, 0, 0, 0, 1, 1], [-1, -1, 0, -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], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 0], [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, 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': '2.35287.14t8.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], [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, 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], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 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], [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': 6, 'Baselabel': '2.35287.14t8.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], [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], [-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, 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': '2.35287.14t8.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, 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, 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, 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': 1, 'Baselabel': '2.35287.7t2.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], [-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, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 1], [-1, 0, -1, -1, -1, -1], [0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 1, 0], [-1, 0, -1, -1, -1, -1], [0, 0, 1, 0, 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], [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': 1, 'Baselabel': '2.497.14t8.a', '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, 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, -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, 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': 4, 'Baselabel': '2.35287.14t8.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, 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, 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], [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], [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': [6, 14, 5, 13, 3, 1, 12, 10, 11, 8, 9, 7, 4, 2]}, {'Size': '1', 'Order': 7, 'Representative': [5, 10, 7, 1, 12, 3, 11, 4, 14, 13, 2, 9, 6, 8]}, {'Size': '1', 'Order': 7, 'Representative': [12, 13, 11, 5, 9, 7, 2, 1, 8, 6, 10, 14, 3, 4]}, {'Size': '1', 'Order': 7, 'Representative': [9, 6, 2, 12, 14, 11, 10, 5, 4, 3, 13, 8, 7, 1]}, {'Size': '1', 'Order': 7, 'Representative': [14, 3, 10, 9, 8, 2, 13, 12, 1, 7, 6, 4, 11, 5]}, {'Size': '1', 'Order': 7, 'Representative': [8, 7, 13, 14, 4, 10, 6, 9, 5, 11, 3, 1, 2, 12]}, {'Size': '1', 'Order': 7, 'Representative': [4, 11, 6, 8, 1, 13, 3, 14, 12, 2, 7, 5, 10, 9]}, {'Size': '2', 'Order': 7, 'Representative': [5, 3, 10, 1, 12, 2, 13, 4, 14, 7, 6, 9, 11, 8]}, {'Size': '2', 'Order': 7, 'Representative': [12, 10, 7, 5, 9, 3, 11, 1, 8, 13, 2, 14, 6, 4]}, {'Size': '2', 'Order': 7, 'Representative': [9, 7, 13, 12, 14, 10, 6, 5, 4, 11, 3, 8, 2, 1]}, {'Size': '2', 'Order': 7, 'Representative': [14, 13, 11, 9, 8, 7, 2, 12, 1, 6, 10, 4, 3, 5]}, {'Size': '2', 'Order': 7, 'Representative': [8, 11, 6, 14, 4, 13, 3, 9, 5, 2, 7, 1, 10, 12]}, {'Size': '2', 'Order': 7, 'Representative': [4, 6, 2, 8, 1, 11, 10, 14, 12, 3, 13, 5, 7, 9]}, {'Size': '2', 'Order': 7, 'Representative': [1, 7, 13, 4, 5, 10, 6, 8, 9, 11, 3, 12, 2, 14]}, {'Size': '2', 'Order': 7, 'Representative': [1, 6, 2, 4, 5, 11, 10, 8, 9, 3, 13, 12, 7, 14]}, {'Size': '2', 'Order': 7, 'Representative': [1, 10, 7, 4, 5, 3, 11, 8, 9, 13, 2, 12, 6, 14]}, {'Size': '2', 'Order': 7, 'Representative': [1, 11, 6, 4, 5, 13, 3, 8, 9, 2, 7, 12, 10, 14]}, {'Size': '2', 'Order': 7, 'Representative': [1, 3, 10, 4, 5, 2, 13, 8, 9, 7, 6, 12, 11, 14]}, {'Size': '2', 'Order': 7, 'Representative': [1, 13, 11, 4, 5, 7, 2, 8, 9, 6, 10, 12, 3, 14]}, {'Size': '2', 'Order': 7, 'Representative': [4, 10, 7, 8, 1, 3, 11, 14, 12, 13, 2, 5, 6, 9]}, {'Size': '2', 'Order': 7, 'Representative': [8, 13, 11, 14, 4, 7, 2, 9, 5, 6, 10, 1, 3, 12]}, {'Size': '2', 'Order': 7, 'Representative': [14, 6, 2, 9, 8, 11, 10, 12, 1, 3, 13, 4, 7, 5]}, {'Size': '2', 'Order': 7, 'Representative': [12, 11, 6, 5, 9, 13, 3, 1, 8, 2, 7, 14, 10, 4]}, {'Size': '2', 'Order': 7, 'Representative': [14, 7, 13, 9, 8, 10, 6, 12, 1, 11, 3, 4, 2, 5]}, {'Size': '2', 'Order': 7, 'Representative': [4, 3, 10, 8, 1, 2, 13, 14, 12, 7, 6, 5, 11, 9]}, {'Size': '2', 'Order': 7, 'Representative': [5, 6, 2, 1, 12, 11, 10, 4, 14, 3, 13, 9, 7, 8]}, {'Size': '2', 'Order': 7, 'Representative': [9, 13, 11, 12, 14, 7, 2, 5, 4, 6, 10, 8, 3, 1]}, {'Size': '2', 'Order': 7, 'Representative': [8, 10, 7, 14, 4, 3, 11, 9, 5, 13, 2, 1, 6, 12]}, {'Size': '7', 'Order': 14, 'Representative': [2, 5, 8, 11, 10, 14, 4, 7, 6, 12, 1, 13, 9, 3]}, {'Size': '7', 'Order': 14, 'Representative': [10, 12, 4, 2, 13, 8, 1, 11, 3, 9, 5, 6, 14, 7]}, {'Size': '7', 'Order': 14, 'Representative': [13, 9, 1, 10, 6, 4, 5, 2, 7, 14, 12, 3, 8, 11]}, {'Size': '7', 'Order': 14, 'Representative': [3, 8, 12, 6, 7, 5, 9, 13, 2, 4, 14, 11, 1, 10]}, {'Size': '7', 'Order': 14, 'Representative': [7, 4, 9, 3, 11, 12, 14, 6, 10, 1, 8, 2, 5, 13]}, {'Size': '7', 'Order': 14, 'Representative': [11, 1, 14, 7, 2, 9, 8, 3, 13, 5, 4, 10, 12, 6]}], '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': ['2849', '98', '1'], 'ConjugacyClass': 15}, {'RootOf': ['12506', '221', '1'], 'ConjugacyClass': 16}, {'RootOf': ['23108', '68', '1'], 'ConjugacyClass': 17}, {'RootOf': ['6493', '158', '1'], 'ConjugacyClass': 18}, {'RootOf': ['30339', '348', '1'], 'ConjugacyClass': 19}, {'RootOf': ['27724', '333', '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': ['-130', '1'], 'ConjugacyClass': 3}, {'RootOf': ['135', '1'], 'ConjugacyClass': 4}, {'RootOf': ['23', '1'], 'ConjugacyClass': 5}, {'RootOf': ['150', '1'], 'ConjugacyClass': 6}, {'RootOf': ['-100', '1'], 'ConjugacyClass': 7}, {'RootOf': ['-40', '1'], 'ConjugacyClass': 8}, {'RootOf': ['19763', '20', '1'], 'ConjugacyClass': 9}, {'RootOf': ['22352', '5', '1'], 'ConjugacyClass': 10}, {'RootOf': ['2954', '-77', '1'], 'ConjugacyClass': 11}, {'RootOf': ['20392', '285', '1'], 'ConjugacyClass': 12}, {'RootOf': ['6272', '-140', '1'], 'ConjugacyClass': 13}, {'RootOf': ['74', '-17', '1'], 'ConjugacyClass': 14}, {'RootOf': ['24725', '-170', '1'], 'ConjugacyClass': 21}, {'RootOf': ['700', '35', '1'], 'ConjugacyClass': 22}, {'RootOf': ['7568', '173', '1'], 'ConjugacyClass': 23}, {'RootOf': ['2552', '95', '1'], 'ConjugacyClass': 24}, {'RootOf': ['1472', '50', '1'], 'ConjugacyClass': 25}, {'RootOf': ['3088', '110', '1'], 'ConjugacyClass': 26}, {'RootOf': ['20014', '-107', '1'], 'ConjugacyClass': 27}, {'RootOf': ['6584', '158', '1'], 'ConjugacyClass': 28}, {'RootOf': ['41897', '-230', '1'], 'ConjugacyClass': 29}], 'Algorithm': 'RES', 'CycleType': [7, 7]}, {'Data': {'Powers': [1], 'Resolvent': [1, -3, 1]}, 'Classes': [{'RootOf': ['700149051', '73909040', '7056384', '757166', '52257', '2709', '83', '1'], 'ConjugacyClass': 30}, {'RootOf': ['-11026335909', '599073533', '-29327992', '997856', '40471', '2638', '83', '1'], 'ConjugacyClass': 31}, {'RootOf': ['2994939', '11885712', '-1318279', '26221', '19455', '2283', '83', '1'], 'ConjugacyClass': 32}, {'RootOf': ['-490512855', '-67262461', '-12188734', '-292285', '-45794', '934', '83', '1'], 'ConjugacyClass': 33}, {'RootOf': ['9409160565', '493114979', '8755698', '2702921', '52470', '1644', '83', '1'], 'ConjugacyClass': 34}, {'RootOf': ['4077242183', '826971747', '35676981', '182776', '-23571', '2141', '83', '1'], 'ConjugacyClass': 35}], 'Algorithm': 'RES', 'CycleType': [14]}], 'Frobs': [12, 32, 2, 30, 26, 34, 2, 33, 11, 15, 34, 12, 34, 18, 33, 14, 31, 35, 28, 16, 35, 13, 31, 33, 31, 34, 33, 24, 17, 9, 28, 31, 21, 32, 17, 7, 32, 18, 2, 34, 29, 33, 3, 9, 7, 2, 18, 35, 2, 31, 8, 10, 35, 30, 30, 12, 32, 34, 24, 28, 2, 31, 30, 30, 32, 17, 14, 20, 19, 34, 35, 28, 31, 14, 14, 35, 29, 32, 22, 2, 30, 21, 22, 30, 34, 1, 6, 13, 30, 29, 34, 33, 29, 19, 12, 34, 31, 33, 31, 6, 18, 10, 2, 22, 15, 31, 33, 2, 19, 30, 33, 7, 25, 32, 27, 5, 32, 34, 23, 28, 33, 12, 30, 24, 33, 26, 23, 31, 2, 30, 8, 17, 27, 14, 32, 31, 34, 34, 31, 5, 34, 13, 15, 21, 30, 34, 2, 2, 30, 26, 21, 32, 27, 30, 10, 16, 28, 34, 2, 33, 3, 13, 24, 30, 23, 31, 15, 32], 'G-Gens': [[2, 5, 8, 11, 10, 14, 4, 7, 6, 12, 1, 13, 9, 3], [1, 7, 13, 4, 5, 10, 6, 8, 9, 11, 3, 12, 2, 14], [5, 3, 10, 1, 12, 2, 13, 4, 14, 7, 6, 9, 11, 8]], 'G-Name': 'C7*D14', 'Polynomial': [25, -90, 173, -230, 232, -177, 119, -71, 55, -35, 26, -7, 5, -1, 1], 'QpRts': [['119863092852697850782', '50191830299674804712', '-76585621119330116310', '115239427792610919669', '-112523754302384505925', '130214815966270212710', '91645016780249371588'], ['-71025541889809321258', '88061482896965874131', '130640867450489632087', '96097425303305926757', '81588841217795663608', '-13778900316280042075', '61315019526988708926'], ['-107524886553948567693', '84154696376429150422', '-62743388444396429236', '93459918470016710388', '-11585484483799700297', '87418847195199908364', '-14778065027794372989'], ['-122398981581950317263', '-74643371043007252121', '53478938721006104433', '-124575146189491359044', '37155418152023771827', '117277901177034856494', '63372944008080515274'], ['-84768716811555078406', '129524547549140261109', '33672225275885153487', '5671269519392670875', '-121418525208658839867', '-31194403646291354116', '-127106378006735648839'], ['104338287493304201647', '123023115654479366785', '17844738113988877209', '-75648722956479255249', '105311059111197572178', '54308344848404235100', '-121512437787120883851'], ['-51931088394043132932', '76818686770673191396', '-51716500395631062627', '-80982529840963524816', '-90576158931847089674', '-67375909351652211221', '-56128726596309278659'], ['-16859957741404901460', '-10844430364523782064', '-28291555163103078235', '77768709881698260584', '48650605142382843846', '-100343320678609867937', '113675429021064912642'], ['-51280671184701751194', '-41583153450148594440', '16232751921961924424', '64004818218627338601', '-130562855894271478121', '67874895060749793362', '22884755341640228010'], ['-124170947567302402073', '116737202450035219640', '-130595680599985989010', '-108729278387556890895', '-83188431715927749018', '-16586974123722516423', '132427840173903328216'], ['-62513078454181643824', '41396429656114840856', '119673980204762019573', '132424956230068915406', '-54755960242293379116', '82125652293748584170', '-115968889480626139399'], ['131979673640888905766', '50363906501418342444', '-47767153696547575283', '-71699233214755401920', '-54750544564485746611', '-131353802032556016767', '62692022883549847353'], ['89013065668475660861', '3078857124084847984', '-23104016329227047996', '-56621768818391881591', '53206135044874682319', '-126111060545697957915', '114645259190958637756'], ['-19355484940860748559', '-103009329492553779640', '49260414060127587484', '-66409846008082428765', '66814421211002709244', '-52476085846597623746', '39471445436542019579']], 'QpRts-minpoly': [18, 21, 0, 0, 0, 0, 0, 1], 'QpRts-p': 23, 'QpRts-prec': 15, 'Size': 98, 'TransitiveDegree': 14}