Artin representation data - 16.604462909807314587353088.17t5.a

Formats: - HTML - YAML - JSON - 2024-04-25T07:36:20.489820

• 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], 'Baselabel': '16.604462909807314587353088.17t5.a', 'CharacterField': 1, 'Conductor': 604462909807314587353088, 'Container': '17t5', 'Dets': ['1.8.2t1.a.a'], 'Dim': 16, 'GalConjSigns': [1], 'Galn': 17, 'GaloisConjugates': [{'Sign': 1, 'Character': [[16], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], 'GalOrbIndex': 1, 'HardFactors': [18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2], 'LocalFactors': [[[1], [-16], [120], [-560], [1820], [-4368], [8008], [-11440], [12870], [-11440], [8008], [-4368], [1820], [-560], [120], [-16], [1]], [[1], [0], [-8], [0], [28], [0], [-56], [0], [70], [0], [-56], [0], [28], [0], [-8], [0], [1]], [[1], [0], [0], [0], [-4], [0], [0], [0], [6], [0], [0], [0], [-4], [0], [0], [0], [1]], [[1], [0], [0], [0], [-4], [0], [0], [0], [6], [0], [0], [0], [-4], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1]], [[1], [-1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '17T5', 'Galt': 5, 'HardPrimes': [2, 5, 13, 19, 101, 1051, 5443, 6317, 22345240517, 1518143768051, 11563101439788991], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [68, -2, -128, 16, 80, 40, 32, -80, -32, 64, 0, -16, 16, 8, 0, 0, -2, 1], 'NumBadPrimes': 1, 'Proj_GAP': [272, 50], 'Proj_Polynomial': [68, -2, -128, 16, 80, 40, 32, -80, -32, 64, 0, -16, 16, 8, 0, 0, -2, 1], 'Proj_nTj': [17, 5]}
• 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], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.8.2t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1], [-1], [-1], [-1], [-1], [-1], [-1], [-1], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.16.4t1.a', 'Character': [[1, 0], [1, 0], [1, 0], [1, 0], [-1, 0], [-1, 0], [-1, 0], [-1, 0], [0, 1], [0, -1], [0, 1], [0, -1], [0, 1], [0, -1], [0, 1], [0, -1], [1, 0]], 'CharacterField': 4}, {'GalConj': 2, 'Baselabel': '1.16.4t1.a', 'Character': [[1, 0], [1, 0], [1, 0], [1, 0], [-1, 0], [-1, 0], [-1, 0], [-1, 0], [0, -1], [0, 1], [0, -1], [0, 1], [0, -1], [0, 1], [0, -1], [0, 1], [1, 0]], 'CharacterField': 4}, {'GalConj': 1, 'Baselabel': '1.32.8t1.a', 'Character': [[1, 0, 0, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 1, 0], [0, 0, -1, 0], [0, 0, 1, 0], [0, 0, -1, 0], [0, 1, 0, 0], [0, 0, 0, 1], [0, -1, 0, 0], [0, 0, 0, -1], [0, 1, 0, 0], [0, 0, 0, 1], [0, -1, 0, 0], [0, 0, 0, -1], [1, 0, 0, 0]], 'CharacterField': 8}, {'GalConj': 2, 'Baselabel': '1.32.8t1.a', 'Character': [[1, 0, 0, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 1, 0], [0, 0, -1, 0], [0, 0, 1, 0], [0, 0, -1, 0], [0, -1, 0, 0], [0, 0, 0, -1], [0, 1, 0, 0], [0, 0, 0, 1], [0, -1, 0, 0], [0, 0, 0, -1], [0, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 0]], 'CharacterField': 8}, {'GalConj': 3, 'Baselabel': '1.32.8t1.a', 'Character': [[1, 0, 0, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 1, 0], [0, 0, -1, 0], [0, 0, 1, 0], [0, 0, 0, -1], [0, -1, 0, 0], [0, 0, 0, 1], [0, 1, 0, 0], [0, 0, 0, -1], [0, -1, 0, 0], [0, 0, 0, 1], [0, 1, 0, 0], [1, 0, 0, 0]], 'CharacterField': 8}, {'GalConj': 4, 'Baselabel': '1.32.8t1.a', 'Character': [[1, 0, 0, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 1, 0], [0, 0, -1, 0], [0, 0, 1, 0], [0, 0, 0, 1], [0, 1, 0, 0], [0, 0, 0, -1], [0, -1, 0, 0], [0, 0, 0, 1], [0, 1, 0, 0], [0, 0, 0, -1], [0, -1, 0, 0], [1, 0, 0, 0]], 'CharacterField': 8}, {'GalConj': 1, 'Baselabel': '1.64.16t1.a', 'Character': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0]], 'CharacterField': 16}, {'GalConj': 2, 'Baselabel': '1.64.16t1.a', 'Character': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0]], 'CharacterField': 16}, {'GalConj': 3, 'Baselabel': '1.64.16t1.a', 'Character': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0]], 'CharacterField': 16}, {'GalConj': 4, 'Baselabel': '1.64.16t1.a', 'Character': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0]], 'CharacterField': 16}, {'GalConj': 5, 'Baselabel': '1.64.16t1.a', 'Character': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, -1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0]], 'CharacterField': 16}, {'GalConj': 6, 'Baselabel': '1.64.16t1.a', 'Character': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1], [1, 0, 0, 0, 0, 0, 0, 0]], 'CharacterField': 16}, {'GalConj': 7, 'Baselabel': '1.64.16t1.a', 'Character': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0]], 'CharacterField': 16}, {'GalConj': 8, 'Baselabel': '1.64.16t1.a', 'Character': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0]], 'CharacterField': 16}, {'GalConj': 1, 'Baselabel': '16.604462909807314587353088.17t5.a', 'Character': [[16], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], 'CharacterField': 1}], 'ComplexConjugation': 2, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]}, {'Size': '17', 'Order': 2, 'Representative': [1, 10, 11, 12, 13, 14, 15, 16, 17, 2, 3, 4, 5, 6, 7, 8, 9]}, {'Size': '17', 'Order': 4, 'Representative': [1, 16, 7, 17, 14, 5, 11, 2, 4, 8, 15, 9, 6, 13, 3, 10, 12]}, {'Size': '17', 'Order': 4, 'Representative': [1, 8, 15, 9, 6, 13, 3, 10, 12, 16, 7, 17, 14, 5, 11, 2, 4]}, {'Size': '17', 'Order': 8, 'Representative': [1, 11, 8, 13, 9, 12, 2, 7, 14, 3, 16, 5, 17, 4, 10, 15, 6]}, {'Size': '17', 'Order': 8, 'Representative': [1, 15, 2, 6, 4, 9, 16, 11, 13, 7, 10, 14, 12, 17, 8, 3, 5]}, {'Size': '17', 'Order': 8, 'Representative': [1, 3, 16, 5, 17, 4, 10, 15, 6, 11, 8, 13, 9, 12, 2, 7, 14]}, {'Size': '17', 'Order': 8, 'Representative': [1, 7, 10, 14, 12, 17, 8, 3, 5, 15, 2, 6, 4, 9, 16, 11, 13]}, {'Size': '17', 'Order': 16, 'Representative': [1, 5, 17, 10, 11, 7, 12, 6, 16, 13, 9, 2, 3, 15, 4, 14, 8]}, {'Size': '17', 'Order': 16, 'Representative': [1, 9, 6, 3, 16, 2, 5, 12, 15, 17, 14, 11, 8, 10, 13, 4, 7]}, {'Size': '17', 'Order': 16, 'Representative': [1, 14, 12, 8, 15, 11, 9, 5, 10, 6, 4, 16, 7, 3, 17, 13, 2]}, {'Size': '17', 'Order': 16, 'Representative': [1, 4, 5, 7, 10, 16, 14, 9, 3, 12, 13, 15, 2, 8, 6, 17, 11]}, {'Size': '17', 'Order': 16, 'Representative': [1, 13, 9, 2, 3, 15, 4, 14, 8, 5, 17, 10, 11, 7, 12, 6, 16]}, {'Size': '17', 'Order': 16, 'Representative': [1, 17, 14, 11, 8, 10, 13, 4, 7, 9, 6, 3, 16, 2, 5, 12, 15]}, {'Size': '17', 'Order': 16, 'Representative': [1, 6, 4, 16, 7, 3, 17, 13, 2, 14, 12, 8, 15, 11, 9, 5, 10]}, {'Size': '17', 'Order': 16, 'Representative': [1, 12, 13, 15, 2, 8, 6, 17, 11, 4, 5, 7, 10, 16, 14, 9, 3]}, {'Size': '16', 'Order': 17, 'Representative': [8, 14, 6, 15, 17, 10, 12, 3, 13, 5, 16, 9, 2, 11, 7, 1, 4]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2, 2, 2, 2, 2, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-151968902188336064', '9382325695314680', '9514854581606016', '832622068367424', '-216702182986368', '-25636960297248', '-512307449856', '595478521184', '18266267392', '-1448204352', '-489197760', '4940032', '1504160', '124856', '-6880', '-240', '-8', '1'], 'ConjugacyClass': 3}, {'RootOf': ['38933473108404534336', '-16931998656483132680', '3284694630903988864', '-353467168591320000', '20481584329888640', '-857398526608672', '59261989831168', '-3574334638752', '221064577536', '16120729536', '-1873063872', '-100784640', '6621728', '230840', '-7520', '-240', '-8', '1'], 'ConjugacyClass': 4}], 'Algorithm': 'RES', 'CycleType': [1, 4, 4, 4, 4]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-334119866551821248', '41753777937377016', '13439763414001280', '2260032239265344', '-283747439982848', '-119468071697440', '-3724882392448', '1838389506720', '37684740864', '576758208', '875188672', '97639616', '-1313440', '-207016', '-7200', '176', '-8', '1'], 'ConjugacyClass': 5}, {'RootOf': ['-7801069674312240576', '3351995889241292536', '369025663011551872', '-114771114339462080', '-37642623749933312', '-3335861570357792', '-228000086996864', '-6776073836512', '273181188480', '24409617600', '1262562880', '55573440', '-667104', '123224', '11296', '-208', '-8', '1'], 'ConjugacyClass': 6}, {'RootOf': ['10325787612695616', '-15244957612887304', '8810690301190784', '-748459816449472', '224268667748608', '-22971065938976', '3123022080128', '-87192078688', '3856679680', '2862610880', '45916864', '15436224', '1535200', '56152', '-1056', '176', '-8', '1'], 'ConjugacyClass': 7}, {'RootOf': ['576676016938456640', '42856810561630968', '-10728646010875264', '-1074291225641920', '348383663795968', '-33539555809824', '45981222016', '-123576639456', '65797563776', '-8443597632', '378523968', '21974720', '-2651744', '31576', '7200', '-208', '-8', '1'], 'ConjugacyClass': 8}], 'Algorithm': 'RES', 'CycleType': [1, 8, 8]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['432995208116694778432', '-61838482005463807240', '5254874076839489408', '621676256351192512', '-67961473133328768', '4948694502860512', '280430881114496', '-32019050252896', '912330313024', '39905243776', '-2255546496', '-8724992', '-4384416', '317544', '736', '-160', '-8', '1'], 'ConjugacyClass': 9}, {'RootOf': ['395176808619413312', '19393585500664568', '14191889330601088', '5006080509226944', '-3610893404810496', '212812941230432', '44925546656256', '-2563877788064', '-174147110592', '28764310144', '1898372480', '-16852224', '-4005472', '73352', '288', '-224', '-8', '1'], 'ConjugacyClass': 10}, {'RootOf': ['-7788111416197056', '2883639985651448', '-1979242723026560', '675649419474624', '235505950675328', '24210167466720', '2030618390656', '413460463136', '32633975360', '2998968192', '265416448', '21645312', '547104', '136552', '672', '672', '-8', '1'], 'ConjugacyClass': 11}, {'RootOf': ['3011796917529920', '1266247856675576', '326774609593984', '122541079424704', '31848689963776', '5276029876064', '973708596736', '194580902112', '22610276928', '1592106368', '268550656', '7913216', '937312', '121736', '-2464', '544', '-8', '1'], 'ConjugacyClass': 12}, {'RootOf': ['-17792625052013849024', '5866341846097173240', '-380026813896645248', 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