Artin representation data - 1.147.14t1.a

Formats: - HTML - YAML - JSON - 2025-04-19T17:41:19.813704

• 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': [3, 7], 'Baselabel': '1.147.14t1.a', 'CharacterField': 7, 'Conductor': 147, 'Container': '14t1', 'Dets': ['147.8', '147.29', '147.71', '147.92', '147.113', '147.134'], 'Dim': 1, 'GalConjSigns': [0, 0, 0, 0, 0, 0], 'Galn': 14, 'GaloisConjugates': [{'Sign': 0, 'Character': [[1], [-1], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1], [0, 0, 0, 1], [0, 0, 1], [0, 1], [0, 0, 0, -1], [0, 0, -1], [0, -1], [1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, -1], [0, 0, 0, 0, -1]], 'GalOrbIndex': 1, 'HardFactors': [10, 15, 15, 1, 1, 11, 1, 1, 6, 4, 1, 1], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [1, 1, 1, 1, 1, 1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [0, 0, 0, 0, -1]], [[1], [0, 0, 0, -1]], [[1], [0, 0, -1]], [[1], [0, -1]], [[1], [0, 0, 0, 1]], [[1], [0, 0, 1]], [[1], [0, 1]], [[1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, 1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [0, 0, 1], [0, 0, 0, 0, 0, 1], [0, 1], [0, 0, 0, 0, 1], [0, 0, 0, 0, 0, -1], [0, -1], [0, 0, 0, 0, -1], [0, 0, 0, -1], [1, 1, 1, 1, 1, 1], [0, 0, -1]], 'GalOrbIndex': 2, 'HardFactors': [10, 15, 15, 1, 1, 11, 1, 1, 6, 4, 1, 1], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [0, 0, 0, -1]], [[1], [1, 1, 1, 1, 1, 1]], [[1], [0, 0, -1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [0, -1]], [[1], [0, 0, 0, 0, -1]], [[1], [0, 0, 0, 0, 0, 1]], [[1], [0, 1]], [[1], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, 1]], [[1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [0, 0, 0, 0, 1], [0, 1], [0, 0, 0, 0, 0, 1], [0, 0, 1], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 1], [0, 0, -1], [1, 1, 1, 1, 1, 1], [0, 0, 0, -1], [0, 0, 0, 0, -1], [0, -1], [0, 0, 0, 0, 0, -1]], 'GalOrbIndex': 3, 'HardFactors': [10, 15, 15, 1, 1, 11, 1, 1, 6, 4, 1, 1], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [0, 0, 0, 0, -1]], [[1], [0, -1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [0, 0, -1]], [[1], [1, 1, 1, 1, 1, 1]], [[1], [0, 0, 0, -1]], [[1], [0, 0, 1]], [[1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, 1]], [[1], [0, 0, 0, 0, 1]], [[1], [0, 1]], [[1], [0, 0, 0, 0, 0, 1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [0, 1], [0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, -1], [0, 0, 0, 0, 0, -1], [1, 1, 1, 1, 1, 1], [0, -1], [0, 0, -1], [0, 0, 0, -1]], 'GalOrbIndex': 4, 'HardFactors': [10, 15, 15, 1, 1, 11, 1, 1, 6, 4, 1, 1], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [0, -1]], [[1], [0, 0, -1]], [[1], [0, 0, 0, -1]], [[1], [0, 0, 0, 0, -1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [1, 1, 1, 1, 1, 1]], [[1], [0, 0, 0, 0, 1]], [[1], [0, 0, 0, 0, 0, 1]], [[1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 1]], [[1], [0, 0, 1]], [[1], [0, 0, 0, 1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 1], [0, 1], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1], [0, 0, 1], [1, 1, 1, 1, 1, 1], [0, 0, 0, 0, -1], [0, 0, -1], [0, 0, 0, 0, 0, -1], [0, 0, 0, -1], [0, -1]], 'GalOrbIndex': 5, 'HardFactors': [10, 15, 15, 1, 1, 11, 1, 1, 6, 4, 1, 1], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [0, 0, 0, -1]], [[1], [0, -1]], [[1], [1, 1, 1, 1, 1, 1]], [[1], [0, 0, 0, 0, -1]], [[1], [0, 0, -1]], [[1], [-1, -1, -1, -1, -1, -1]], [[1], [0, 0, 0, 0, 1]], [[1], [0, 0, 1]], [[1], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 0, 1]], [[1], [0, 1]], [[1]]]}, {'Sign': 0, 'Character': [[1], [-1], [0, 0, 1], [0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [0, 1], [0, 0, 0, 1], [0, 0, 0, 0, 0, 1], [0, -1], [0, 0, 0, -1], [0, 0, 0, 0, 0, -1], [0, 0, -1], [0, 0, 0, 0, -1], [1, 1, 1, 1, 1, 1]], 'GalOrbIndex': 6, 'HardFactors': [10, 15, 15, 1, 1, 11, 1, 1, 6, 4, 1, 1], 'LocalFactors': [[[1], [-1]], [[1], [1]], [[1], [0, 0, -1]], [[1], [0, 0, 0, 0, -1]], [[1], [1, 1, 1, 1, 1, 1]], [[1], [0, -1]], [[1], [0, 0, 0, -1]], [[1], [0, 0, 0, 0, 0, -1]], [[1], [0, 1]], [[1], [0, 0, 0, 1]], [[1], [0, 0, 0, 0, 0, 1]], [[1], [0, 0, 1]], [[1], [0, 0, 0, 0, 1]], [[1], [-1, -1, -1, -1, -1, -1]], [[1]]]}], 'GaloisConjugatesSigns': [0, 0, 0, 0, 0, 0], 'GaloisLabel': '14T1', 'Galt': 1, 'HardPrimes': [2, 3, 7, 19, 31, 59, 97, 2383, 3067, 3709, 4441, 5323], 'Hide': 0, 'Indicator': 0, 'Is_Even': False, 'NFGal': [9409, -8148, 17920, -8246, 18151, -8701, 8869, -2696, 2184, -553, 350, -42, 21, 0, 1], 'NumBadPrimes': 2, 'Proj_GAP': [1, 1], 'Proj_Polynomial': [0, 1], 'Proj_nTj': [1, 1]}
• 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]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.3.2t1.a', 'Character': [[1], [-1], [1], [1], [1], [1], [1], [1], [-1], [-1], [-1], [-1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.49.7t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0]], 'CharacterField': 7}, {'GalConj': 4, 'Baselabel': '1.147.14t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1], [1, 1, 1, 1, 1, 1], [0, -1, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0]], 'CharacterField': 7}, {'GalConj': 2, 'Baselabel': '1.49.7t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0], [-1, -1, -1, -1, -1, -1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0], [-1, -1, -1, -1, -1, -1]], 'CharacterField': 7}, {'GalConj': 6, 'Baselabel': '1.147.14t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0], [-1, -1, -1, -1, -1, -1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1], [0, -1, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, -1], [0, 0, -1, 0, 0, 0], [0, 0, 0, 0, -1, 0], [1, 1, 1, 1, 1, 1]], 'CharacterField': 7}, {'GalConj': 3, 'Baselabel': '1.49.7t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 2, 'Baselabel': '1.147.14t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, -1], [0, -1, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, -1, 0, 0], [1, 1, 1, 1, 1, 1], [0, 0, -1, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 4, 'Baselabel': '1.49.7t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [1, 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, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1]], 'CharacterField': 7}, {'GalConj': 3, 'Baselabel': '1.147.14t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [-1, 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, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 0, 0], [0, 0, -1, 0, 0, 0], [1, 1, 1, 1, 1, 1], [0, 0, 0, -1, 0, 0], [0, 0, 0, 0, -1, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1]], 'CharacterField': 7}, {'GalConj': 5, 'Baselabel': '1.49.7t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 5, 'Baselabel': '1.147.14t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0], [1, 1, 1, 1, 1, 1], [0, 0, 0, 0, -1, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, -1], [0, 0, 0, -1, 0, 0], [0, -1, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 6, 'Baselabel': '1.49.7t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0]], 'CharacterField': 7}, {'GalConj': 1, 'Baselabel': '1.147.14t1.a', 'Character': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], [0, 0, -1, 0, 0, 0], [0, -1, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, -1], [0, 0, 0, 0, -1, 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': '1', 'Order': 2, 'Representative': [13, 12, 11, 8, 6, 5, 14, 4, 10, 9, 3, 2, 1, 7]}, {'Size': '1', 'Order': 7, 'Representative': [11, 14, 2, 13, 8, 4, 10, 1, 6, 5, 12, 7, 3, 9]}, {'Size': '1', 'Order': 7, 'Representative': [12, 9, 14, 3, 1, 13, 5, 11, 4, 8, 7, 10, 2, 6]}, {'Size': '1', 'Order': 7, 'Representative': [7, 6, 9, 2, 11, 3, 8, 12, 13, 1, 10, 5, 14, 4]}, {'Size': '1', 'Order': 7, 'Representative': [10, 4, 6, 14, 12, 2, 1, 7, 3, 11, 5, 8, 9, 13]}, {'Size': '1', 'Order': 7, 'Representative': [5, 13, 4, 9, 7, 14, 11, 10, 2, 12, 8, 1, 6, 3]}, {'Size': '1', 'Order': 7, 'Representative': [8, 3, 13, 6, 10, 9, 12, 5, 14, 7, 1, 11, 4, 2]}, {'Size': '1', 'Order': 14, 'Representative': [9, 8, 5, 7, 2, 12, 13, 14, 11, 3, 6, 4, 10, 1]}, {'Size': '1', 'Order': 14, 'Representative': [6, 1, 8, 10, 14, 7, 3, 9, 12, 2, 4, 13, 5, 11]}, {'Size': '1', 'Order': 14, 'Representative': [4, 11, 1, 5, 9, 10, 2, 6, 7, 14, 13, 3, 8, 12]}, {'Size': '1', 'Order': 14, 'Representative': [3, 7, 12, 1, 4, 8, 9, 13, 5, 6, 2, 14, 11, 10]}, {'Size': '1', 'Order': 14, 'Representative': [2, 10, 7, 11, 13, 1, 6, 3, 8, 4, 14, 9, 12, 5]}, {'Size': '1', 'Order': 14, 'Representative': [14, 5, 10, 12, 3, 11, 4, 2, 1, 13, 9, 6, 7, 8]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2, 2, 2, 2, 2, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]}, 'Classes': [{'RootOf': ['-684515027', '1'], 'ConjugacyClass': 3}, {'RootOf': ['-772878736', '1'], 'ConjugacyClass': 4}, {'RootOf': ['-1006106584', '1'], 'ConjugacyClass': 5}, {'RootOf': ['753707346', '1'], 'ConjugacyClass': 6}, {'RootOf': ['393926855', '1'], 'ConjugacyClass': 7}, {'RootOf': ['-323251502', '1'], 'ConjugacyClass': 8}], 'Algorithm': 'RES', 'CycleType': [7, 7]}, {'Data': {'Powers': [1], 'Resolvent': [2, 5, -2, -7, 1]}, 'Classes': [{'RootOf': ['-2709', '1'], 'ConjugacyClass': 9}, {'RootOf': ['-1239', '1'], 'ConjugacyClass': 10}, {'RootOf': ['1652', '1'], 'ConjugacyClass': 11}, {'RootOf': ['2730', '1'], 'ConjugacyClass': 12}, {'RootOf': ['3269', '1'], 'ConjugacyClass': 13}, {'RootOf': ['3759', '1'], 'ConjugacyClass': 14}], 'Algorithm': 'RES', 'CycleType': [14]}], 'Frobs': [10, 3, 12, 1, 10, 7, 9, 1, 14, 9, 1, 6, 12, 8, 10, 14, 11, 6, 1, 14, 4, 1, 13, 13, 1, 12, 3, 13, 7, 13, 6, 11, 11, 3, 10, 5, 8, 8, 9, 14, 9, 4, 12, 3, 2, 3, 4, 5, 2, 8, 9, 11, 5, 11, 9, 2, 13, 5, 6, 10, 7, 2, 7, 9, 1, 14, 6, 8, 14, 8, 11, 11, 4, 1, 7, 13, 12, 3, 13, 6, 14, 6, 11, 3, 7, 10, 12, 8, 9, 5, 14, 10, 3, 2, 4, 10, 2, 2, 8, 7, 3, 2, 13, 2, 6, 7, 2, 12, 10, 7, 1, 4, 9, 1, 8, 14, 8, 11, 11, 14, 4, 7, 13, 12, 3, 13, 5, 11, 3, 7, 5, 12, 8, 5, 14, 4, 10, 3, 10, 13, 5, 9, 8, 11, 5, 11, 6, 13, 5, 2, 3, 2, 1, 12, 4, 9, 6, 10, 8, 11, 11, 14, 7, 13, 12, 12, 7, 6], 'G-Gens': [[9, 8, 5, 7, 2, 12, 13, 14, 11, 3, 6, 4, 10, 1], [13, 12, 11, 8, 6, 5, 14, 4, 10, 9, 3, 2, 1, 7]], 'G-Name': 'C14', 'Polynomial': [9409, -8148, 17920, -8246, 18151, -8701, 8869, -2696, 2184, -553, 350, -42, 21, 0, 1], 'QpRts': [['-61957176823734', '39504540244673', '-30717788581136', '14441387311511', '24088497182319', '13972304026273', '-10326196137289'], ['31264755772064', '-22017611827295', '-26852052875526', '-13670374826972', '53971549021620', '-53529097851901', '-38109787303015'], ['-14929136084429', '-39516521465040', '32236599289546', '16605617252492', '61263545885043', '-15612773108160', '-24148479313251'], ['26113825030133', '-50536232536837', '44909724364461', '15195913256615', '32347584510405', '30282533497797', '26012594137535'], ['-57103932672032', '-23704037833481', '-64911015265027', '14787346096697', '-49441552673968', '49343443079636', '33803257819687'], ['33865633265459', '58690516497414', '15642580737954', '-31446932426006', '23100332860411', '12162782739199', '27304562176756'], ['-10301701572626', '5337667092261', '-559930227585', '-62950394828815', '-50390329514926', '-46527280360357', '41603629669588'], ['-23622662935067', '-14532528101940', '-26817641626805', '-49377818609037', '11199880768198', '15790824218340', '-25597400455024'], ['43795167740503', '50328494970066', '24151980203627', '35151910909833', '42852106725216', '39103525945058', '-14361095342429'], ['20921216000122', '29547922446449', '23673089928821', '64322823298936', '-53335319421108', '-40132860481879', '46807449265046'], ['11388809875682', '25720002213361', '12838347721709', '-39390686872837', '22843957742791', '-51007885376191', '-41422444952412'], ['-9286291667422', '-61873566061323', '-43466801745054', '58167343603545', '-34926873878383', '58561454894178', '-44868295209596'], ['45501015978824', '-42109995409132', '-1237192418613', '22923379901709', '-42042869035492', '16945264321596', '-35737077268555'], ['-35649521907477', '45161349770824', '41110100493628', '-44759514067671', '-41530510172126', '-29352235543589', '59039282912959']], 'QpRts-minpoly': [35, 7, 0, 0, 0, 0, 0, 1], 'QpRts-p': 37, 'QpRts-prec': 9, 'Size': 14, 'TransitiveDegree': 14}