Artin representation data - 2.192.8t11.b

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• 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, 3], 'Baselabel': '2.192.8t11.b', 'CharacterField': 4, 'Conductor': 192, 'Container': '8t11', 'Dets': ['1.24.2t1.b.a', '1.24.2t1.b.a'], 'Dim': 2, 'GalConjSigns': [0, 0], 'Galn': 8, 'GaloisConjugates': [{'Sign': 0, 'Character': [[2], [-2], [0], [0], [0], [0, -2], [0, 2], [0], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [11, 12], 'LocalFactors': [[[1], [-2], [1]], [[1], [2], [1]], [[1], [0], [-1]], [[1], [0], [-1]], [[1], [0], [-1]], [[1], [0, 2], [-1]], [[1], [0, -2], [-1]], [[1], [0], [1]], [[1], [0], [1]], [[1], [0], [1]], [[1]], [[1], [0, 1]]]}, {'Sign': 0, 'Character': [[2], [-2], [0], [0], [0], [0, 2], [0, -2], [0], [0], [0]], 'GalOrbIndex': 2, 'HardFactors': [11, 12], 'LocalFactors': [[[1], [-2], [1]], [[1], [2], [1]], [[1], [0], [-1]], [[1], [0], [-1]], [[1], [0], [-1]], [[1], [0, -2], [-1]], [[1], [0, 2], [-1]], [[1], [0], [1]], [[1], [0], [1]], [[1], [0], [1]], [[1]], [[1], [0, -1]]]}], 'GaloisConjugatesSigns': [0, 0], 'GaloisLabel': '8T11', 'Galt': 11, 'HardPrimes': [2, 3], 'Hide': 0, 'Indicator': 0, 'Is_Even': False, 'NFGal': [1, 0, -4, 0, 5, 0, -2, 0, 1], 'NumBadPrimes': 2, 'Proj_GAP': [4, 2], 'Proj_Polynomial': [4, 0, -2, 0, 1], 'Proj_nTj': [4, 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

  
  {'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.4.2t1.a', 'Character': [[1], [1], [1], [-1], [1], [-1], [-1], [-1], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.24.2t1.a', 'Character': [[1], [1], [-1], [1], [-1], [1], [1], [-1], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.24.2t1.b', 'Character': [[1], [1], [-1], [-1], [-1], [-1], [-1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.8.2t1.b', 'Character': [[1], [1], [1], [-1], [-1], [1], [1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.12.2t1.a', 'Character': [[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]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.3.2t1.a', 'Character': [[1], [1], [-1], [-1], [1], [1], [1], [-1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.192.8t11.b', 'Character': [[2, 0], [-2, 0], [0, 0], [0, 0], [0, 0], [0, -2], [0, 2], [0, 0], [0, 0], [0, 0]], 'CharacterField': 4}, {'GalConj': 2, 'Baselabel': '2.192.8t11.b', 'Character': [[2, 0], [-2, 0], [0, 0], [0, 0], [0, 0], [0, 2], [0, -2], [0, 0], [0, 0], [0, 0]], 'CharacterField': 4}], 'ComplexConjugation': 4, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8]}, {'Size': '1', 'Order': 2, 'Representative': [8, 7, 6, 5, 4, 3, 2, 1]}, {'Size': '2', 'Order': 2, 'Representative': [2, 1, 5, 6, 3, 4, 8, 7]}, {'Size': '2', 'Order': 2, 'Representative': [3, 4, 1, 2, 7, 8, 5, 6]}, {'Size': '2', 'Order': 2, 'Representative': [1, 7, 6, 4, 5, 3, 2, 8]}, {'Size': '1', 'Order': 4, 'Representative': [4, 6, 2, 8, 1, 7, 3, 5]}, {'Size': '1', 'Order': 4, 'Representative': [5, 3, 7, 1, 8, 2, 6, 4]}, {'Size': '2', 'Order': 4, 'Representative': [6, 4, 1, 7, 2, 8, 5, 3]}, {'Size': '2', 'Order': 4, 'Representative': [4, 3, 7, 8, 1, 2, 6, 5]}, {'Size': '2', 'Order': 4, 'Representative': [2, 8, 4, 6, 3, 5, 1, 7]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [1, -3, 1]}, 'Classes': [{'RootOf': ['-12', '1'], 'ConjugacyClass': 2}, {'RootOf': ['288', '0', '1'], 'ConjugacyClass': 3}, {'RootOf': ['-864', '0', '1'], 'ConjugacyClass': 4}], 'Algorithm': 'RES', 'CycleType': [2, 2, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [-5, 11, -7, 1]}, 'Classes': [{'RootOf': ['-4', '1'], 'ConjugacyClass': 6}, {'RootOf': ['4', '1'], 'ConjugacyClass': 7}, {'RootOf': ['200', '0', '1'], 'ConjugacyClass': 8}, {'RootOf': ['48', '0', '1'], 'ConjugacyClass': 9}, {'RootOf': ['-24', '0', '1'], 'ConjugacyClass': 10}], 'Algorithm': 'RES', 'CycleType': [4, 4]}], 'Frobs': [3, 8, 10, 9, 8, 5, 3, 7, 4, 10, 9, 5, 3, 6, 4, 10, 8, 5, 6, 4, 1, 9, 8, 3, 2, 10, 9, 8, 5, 3, 9, 8, 3, 7, 10, 9, 5, 7, 4, 10, 8, 5, 4, 1, 10, 9, 6, 9, 8, 5, 3, 4, 1, 8, 3, 4, 10, 9, 5, 3, 7, 10, 6, 4, 2, 10, 7, 2, 8, 5, 3, 4, 9, 5, 6, 4, 10, 5, 3, 1, 8, 5, 4, 2, 9, 8, 3, 1, 10, 9, 8, 4, 9, 8, 6, 4, 10, 3, 6, 5, 7, 10, 8, 3, 7, 2, 8, 3, 4, 1, 9, 5, 3, 7, 9, 3, 7, 4, 10, 8, 5, 2, 10, 8, 7, 10, 5, 4, 9, 5, 6, 4, 9, 5, 3, 1, 10, 7, 10, 3, 6, 10, 9, 8, 5, 4, 5, 3, 6, 4, 5, 3, 7, 4, 6, 4, 9, 3, 2, 10, 8, 3, 9, 8, 3, 4, 9, 5], 'G-Gens': [[8, 7, 6, 5, 4, 3, 2, 1], [4, 6, 2, 8, 1, 7, 3, 5], [4, 3, 7, 8, 1, 2, 6, 5], [2, 1, 5, 6, 3, 4, 8, 7]], 'G-Name': 'D8:C2', 'Polynomial': [1, 0, -4, 0, 5, 0, -2, 0, 1], 'QpRts': [['847574463'], ['-749631499'], ['-987695154'], ['-381398173'], ['381398173'], ['987695154'], ['749631499'], ['-847574463']], 'QpRts-minpoly': [-1, 1], 'QpRts-p': 73, 'QpRts-prec': 5, 'Size': 16, 'TransitiveDegree': 8}