Artin representation data - 1.497.14t1.a

Formats: - HTML - YAML - JSON - 2026-02-02T01:01:07.883897

• 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': '1.497.14t1.a', 'CharacterField': 7, 'Conductor': 497, 'Container': '14t1', 'Dets': ['497.20', '497.48', '497.174', '497.258', '497.314', '497.321'], 'Dim': 1, 'GalConjSigns': [0, 0, 0, 0, 0, 0], 'Galn': 14, 'GaloisConjugates': [{'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': 1, 'HardFactors': [5, 11, 2, 15, 7, 2, 6, 13, 15, 6, 14, 8, 14, 12, 6, 1, 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, 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': [5, 11, 2, 15, 7, 2, 6, 13, 15, 6, 14, 8, 14, 12, 6, 1, 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], [-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': 3, 'HardFactors': [5, 11, 2, 15, 7, 2, 6, 13, 15, 6, 14, 8, 14, 12, 6, 1, 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, 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': 4, 'HardFactors': [5, 11, 2, 15, 7, 2, 6, 13, 15, 6, 14, 8, 14, 12, 6, 1, 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]]]}, {'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': [5, 11, 2, 15, 7, 2, 6, 13, 15, 6, 14, 8, 14, 12, 6, 1, 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, 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': 6, 'HardFactors': [5, 11, 2, 15, 7, 2, 6, 13, 15, 6, 14, 8, 14, 12, 6, 1, 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]]]}], 'GaloisConjugatesSigns': [0, 0, 0, 0, 0, 0], 'GaloisLabel': '14T1', 'Galt': 1, 'HardPrimes': [2, 3, 5, 7, 11, 17, 23, 41, 71, 107, 383, 659, 5701, 44351, 696119, 1037854087, 1235767297, 3004035077], 'Hide': 0, 'Indicator': 0, 'Is_Even': False, 'NFGal': [2155133, -2121563, 1664828, -1062045, 581817, -115656, -85066, 45789, 2206, -5072, 470, 241, -37, -5, 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': '1.7.2t1.a', 'Character': [[1], [-1], [1], [1], [1], [1], [1], [1], [-1], [-1], [-1], [-1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.71.7t1.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': 1, 'Baselabel': '1.497.14t1.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': '1.71.7t1.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': 4, 'Baselabel': '1.497.14t1.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': '1.71.7t1.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': '1.497.14t1.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': '1.71.7t1.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': 6, 'Baselabel': '1.497.14t1.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': '1.71.7t1.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': '1.497.14t1.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': '1.71.7t1.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': 3, 'Baselabel': '1.497.14t1.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': [2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11, 14, 13]}, {'Size': '1', 'Order': 7, 'Representative': [11, 12, 13, 14, 9, 10, 3, 4, 7, 8, 5, 6, 1, 2]}, {'Size': '1', 'Order': 7, 'Representative': [5, 6, 1, 2, 7, 8, 13, 14, 3, 4, 9, 10, 11, 12]}, {'Size': '1', 'Order': 7, 'Representative': [9, 10, 11, 12, 3, 4, 1, 2, 13, 14, 7, 8, 5, 6]}, {'Size': '1', 'Order': 7, 'Representative': [7, 8, 5, 6, 13, 14, 11, 12, 1, 2, 3, 4, 9, 10]}, {'Size': '1', 'Order': 7, 'Representative': [3, 4, 9, 10, 1, 2, 5, 6, 11, 12, 13, 14, 7, 8]}, {'Size': '1', 'Order': 7, 'Representative': [13, 14, 7, 8, 11, 12, 9, 10, 5, 6, 1, 2, 3, 4]}, {'Size': '1', 'Order': 14, 'Representative': [8, 7, 6, 5, 14, 13, 12, 11, 2, 1, 4, 3, 10, 9]}, {'Size': '1', 'Order': 14, 'Representative': [4, 3, 10, 9, 2, 1, 6, 5, 12, 11, 14, 13, 8, 7]}, {'Size': '1', 'Order': 14, 'Representative': [14, 13, 8, 7, 12, 11, 10, 9, 6, 5, 2, 1, 4, 3]}, {'Size': '1', 'Order': 14, 'Representative': [12, 11, 14, 13, 10, 9, 4, 3, 8, 7, 6, 5, 2, 1]}, {'Size': '1', 'Order': 14, 'Representative': [6, 5, 2, 1, 8, 7, 14, 13, 4, 3, 10, 9, 12, 11]}, {'Size': '1', 'Order': 14, 'Representative': [10, 9, 12, 11, 4, 3, 2, 1, 14, 13, 8, 7, 6, 5]}], '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': ['-1913079107', '1'], 'ConjugacyClass': 3}, {'RootOf': ['-1009338780', '1'], 'ConjugacyClass': 4}, {'RootOf': ['-1459848903', '1'], 'ConjugacyClass': 5}, {'RootOf': ['-916179964', '1'], 'ConjugacyClass': 6}, {'RootOf': ['-273670150', '1'], 'ConjugacyClass': 7}, {'RootOf': ['-97914691', '1'], 'ConjugacyClass': 8}], 'Algorithm': 'RES', 'CycleType': [7, 7]}, {'Data': {'Powers': [1], 'Resolvent': [14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]}, 'Classes': [{'RootOf': ['520965046', '1'], 'ConjugacyClass': 9}, {'RootOf': ['1163474860', '1'], 'ConjugacyClass': 10}, {'RootOf': ['1339230319', '1'], 'ConjugacyClass': 11}, {'RootOf': ['-475934097', '1'], 'ConjugacyClass': 12}, {'RootOf': ['427806230', '1'], 'ConjugacyClass': 13}, {'RootOf': ['-22703893', '1'], 'ConjugacyClass': 14}], 'Algorithm': 'RES', 'CycleType': [14]}], 'Frobs': [5, 11, 2, 6, 7, 13, 2, 12, 6, 8, 13, 5, 13, 5, 12, 3, 10, 14, 8, 1, 14, 4, 10, 12, 10, 13, 12, 6, 6, 8, 8, 10, 1, 11, 6, 7, 11, 5, 2, 13, 5, 12, 3, 8, 7, 2, 5, 14, 2, 10, 8, 7, 14, 9, 9, 5, 11, 13, 6, 8, 2, 10, 9, 9, 11, 6, 3, 3, 4, 13, 14, 8, 10, 3, 3, 14, 5, 11, 1, 2, 9, 1, 1, 9, 13, 1, 6, 4, 9, 5, 13, 12, 5, 4, 5, 13, 10, 12, 10, 6, 5, 7, 2, 1, 8, 10, 12, 2, 4, 9, 12, 7, 3, 11, 4, 5, 11, 13, 1, 8, 12, 5, 9, 6, 12, 7, 1, 10, 2, 9, 8, 6, 4, 3, 11, 10, 13, 13, 10, 5, 13, 4, 8, 1, 9, 13, 2, 2, 9, 7, 1, 11, 4, 9, 7, 7, 8, 13, 2, 12, 3, 4, 6, 9, 1, 10, 8, 11], 'G-Gens': [[8, 7, 6, 5, 14, 13, 12, 11, 2, 1, 4, 3, 10, 9], [2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11, 14, 13]], 'G-Name': 'C14', 'Polynomial': [2155133, -2121563, 1664828, -1062045, 581817, -115656, -85066, 45789, 2206, -5072, 470, 241, -37, -5, 1], 'QpRts': [['-1644520219908', '-12800311386451', '-12314950829772', '-20446173765689', '-16679356336530', '-16525806087823', '-7430903309430'], ['-11390858607156', '-12800311386451', '-12314950829772', '-20446173765689', '-16679356336530', '-16525806087823', '-7430903309430'], ['5984386408594', '2641417829488', '-14616550844739', '-4232336468042', '-2168243761430', '-5177415709562', '-16212966544213'], ['-3761951978654', '2641417829488', '-14616550844739', '-4232336468042', '-2168243761430', '-5177415709562', '-16212966544213'], ['-16673635014440', '-17040810116919', '-15617355247612', '16604513169684', '4600281834613', '9055338218487', '-3662908440943'], ['15006537811961', '-17040810116919', '-15617355247612', '16604513169684', '4600281834613', '9055338218487', '-3662908440943'], ['3594894829221', '-15286586585257', '3865796608024', '-18223351888123', '7163904825013', '19754520706460', '13573430911235'], ['-6151443558027', '-15286586585257', '3865796608024', '-18223351888123', '7163904825013', '19754520706460', '13573430911235'], ['-1365187306640', '2812964511564', '-12214841475481', '5053214007787', '6865556122277', '-6477301679167', '-2812439123843'], ['-11111525693888', '2812964511564', '-12214841475481', '5053214007787', '6865556122277', '-6477301679167', '-2812439123843'], ['-9391149395136', '-1838128146564', '9670450626475', '-669365508312', '-17197018904920', '-1517877932054', '19756402545490'], ['-19137487782384', '-1838128146564', '9670450626475', '-669365508312', '-17197018904920', '-1517877932054', '19756402545490'], ['-8532371766794', '84942680490', '-199060050544', '-19513010760954', '17414876220977', '888542483659', '-3210616038296'], ['-18278710154042', '84942680490', '-199060050544', '-19513010760954', '17414876220977', '888542483659', '-3210616038296']], 'QpRts-minpoly': [18, 21, 0, 0, 0, 0, 0, 1], 'QpRts-p': 23, 'QpRts-prec': 10, 'Size': 14, 'TransitiveDegree': 14}