Artin representation data - 20.1035687758235375280047221685387278960958815697048001201.70.a

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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': [83, 3037], 'Baselabel': '20.1035687758235375280047221685387278960958815697048001201.70.a', 'CharacterField': 1, 'Conductor': 1035687758235375280047221685387278960958815697048001201, 'Container': '70', 'Dets': ['1.1.1t1.a.a'], 'Dim': 20, 'GalConjSigns': [1], 'Galn': 7, 'GaloisConjugates': [{'Sign': 1, 'Character': [[20], [0], [0], [-4], [2], [2], [0], [0], [0], [2], [0], [0], [-1], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [16, 17], 'LocalFactors': [[[1], [-20], [190], [-1140], [4845], [-15504], [38760], [-77520], [125970], [-167960], [184756], [-167960], [125970], [-77520], [38760], [-15504], [4845], [-1140], [190], [-20], [1]], [[1], [0], [-10], [0], [45], [0], [-120], [0], [210], [0], [-252], [0], [210], [0], [-120], [0], [45], [0], [-10], [0], [1]], [[1], [0], [-10], [0], [45], [0], [-120], [0], [210], [0], [-252], [0], [210], [0], [-120], [0], [45], [0], [-10], [0], [1]], [[1], [4], [-2], [-28], [-19], [80], [104], [-112], [-238], [56], [308], [56], [-238], [-112], [104], [80], [-19], [-28], [-2], [4], [1]], [[1], [-2], [1], [-6], [12], [-6], [15], [-30], [15], [-20], [40], [-20], [15], [-30], [15], [-6], [12], [-6], [1], [-2], [1]], [[1], [-2], [1], [-6], [12], [-6], [15], [-30], [15], [-20], [40], [-20], [15], [-30], [15], [-6], [12], [-6], [1], [-2], [1]], [[1], [0], [2], [0], [-3], [0], [-8], [0], [2], [0], [12], [0], [2], [0], [-8], [0], [-3], [0], [2], [0], [1]], [[1], [0], [2], [0], [-3], [0], [-8], [0], [2], [0], [12], [0], [2], [0], [-8], [0], [-3], [0], [2], [0], [1]], [[1], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [6], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [1]], [[1], [-2], [1], [2], [-4], [2], [-1], [2], [-1], [-4], [8], [-4], [-1], [2], [-1], [2], [-4], [2], [1], [-2], [1]], [[1], [0], [-1], [0], [0], [0], [-3], [0], [3], [0], [0], [0], [3], [0], [-3], [0], [0], [0], [-1], [0], [1]], [[1], [0], [-1], [0], [0], [0], [-3], [0], [3], [0], [0], [0], [3], [0], [-3], [0], [0], [0], [-1], [0], [1]], [[1], [1], [1], [1], [1], [1], [1], [-2], [-2], [-2], [-2], [-2], [-2], [-2], [1], [1], [1], [1], [1], [1], [1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [0], [0], [0], [0], [1]], [[1], [0], [-1], [0], [0], [0], [1], [0], [-1], [0], [0], [0], [-1], [0], [1], [0], [0], [0], [-1], [0], [1]], [[1], [-1], [0], [-3], [3], [0], [3], [-3], [0], [-1], [1]], [[1], [0], [1], [0], [-2], [0], [-2], [0], [1], [0], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '7T7', 'Galt': 7, 'HardPrimes': [83, 3037], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [1, 1, -2, -1, 2, 0, -1, 1], 'NumBadPrimes': 2, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [1, 1, -2, -1, 2, 0, -1, 1], 'Proj_nTj': [7, 7]}
• 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]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.252071.2t1.a', 'Character': [[1], [-1], [-1], [1], [1], [1], [-1], [1], [1], [1], [-1], [-1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.1017687456066633101962289351.14t46.a', 'Character': [[6], [-4], [0], [2], [3], [0], [-2], [0], [1], [-1], [-1], [0], [-1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.252071.7t7.a', 'Character': [[6], [4], [0], [2], [3], [0], [2], [0], [1], [-1], [1], [0], [-1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.4037304791374783699681.21t38.a', 'Character': [[14], [6], [2], [2], [2], [-1], [0], [0], [-1], [2], [0], [-1], [0], [1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.1035687758235375280047221685387278960958815697048001201.42t413.a', 'Character': [[14], [-6], [-2], [2], [2], [-1], [0], [0], [-1], [2], [0], [1], [0], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.4108714442499832507695140200131228744912408397031.30t565.a', 'Character': [[14], [-4], [0], [2], [-1], [2], [2], [0], [-1], [-1], [-1], [0], [0], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.1017687456066633101962289351.30t565.a', 'Character': [[14], [4], [0], [2], [-1], [2], [-2], [0], [-1], [-1], [1], [0], [0], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '15.1017687456066633101962289351.42t412.a', 'Character': [[15], [5], [-3], [-1], [3], [0], [1], [-1], [0], [-1], [-1], [0], [1], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '15.1035687758235375280047221685387278960958815697048001201.42t411.a', 'Character': [[15], [-5], [3], [-1], [3], [0], [-1], [-1], [0], [-1], [1], [0], [1], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.1035687758235375280047221685387278960958815697048001201.70.a', 'Character': [[20], [0], [0], [-4], [2], [2], [0], [0], [0], [2], [0], [0], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.1035687758235375280047221685387278960958815697048001201.84.a', 'Character': [[21], [1], [-3], [1], [-3], [0], [-1], [-1], [1], [1], [1], [0], [0], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.261066848906149282216783217457256794967849631570586710737271.42t418.a', 'Character': [[21], [-1], [3], [1], [-3], [0], [1], [-1], [1], [1], [-1], [0], [0], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.1072649132558617156216859845392772652434445994540098946165165607490874738074664861309706338989608309297442401.126.a', 'Character': [[35], [-5], [-1], [-1], [-1], [-1], [1], [1], [0], [-1], [1], [-1], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.1054006439957913205952137240389066291350385455606841730309432616715287992557510551.70.a', 'Character': [[35], [5], [1], [-1], [-1], [-1], [-1], [1], [0], [-1], [-1], [1], [0], [0], [-1]], 'CharacterField': 1}], 'ComplexConjugation': 3, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7]}, {'Size': '21', 'Order': 2, 'Representative': [2, 1, 3, 4, 5, 6, 7]}, {'Size': '105', 'Order': 2, 'Representative': [2, 1, 4, 3, 6, 5, 7]}, {'Size': '105', 'Order': 2, 'Representative': [2, 1, 4, 3, 5, 6, 7]}, {'Size': '70', 'Order': 3, 'Representative': [2, 3, 1, 4, 5, 6, 7]}, {'Size': '280', 'Order': 3, 'Representative': [2, 3, 1, 5, 6, 4, 7]}, {'Size': '210', 'Order': 4, 'Representative': [2, 3, 4, 1, 5, 6, 7]}, {'Size': '630', 'Order': 4, 'Representative': [2, 3, 4, 1, 6, 5, 7]}, {'Size': '504', 'Order': 5, 'Representative': [2, 3, 4, 5, 1, 6, 7]}, {'Size': '210', 'Order': 6, 'Representative': [2, 3, 1, 5, 4, 7, 6]}, {'Size': '420', 'Order': 6, 'Representative': [2, 3, 1, 5, 4, 6, 7]}, {'Size': '840', 'Order': 6, 'Representative': [2, 3, 4, 5, 6, 1, 7]}, {'Size': '720', 'Order': 7, 'Representative': [2, 3, 4, 5, 6, 7, 1]}, {'Size': '504', 'Order': 10, 'Representative': [2, 3, 4, 5, 1, 7, 6]}, {'Size': '420', 'Order': 12, 'Representative': [2, 3, 4, 1, 6, 7, 5]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 2]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 3]}, {'Data': 0, 'Classes': 4, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 2, 2]}, {'Data': 0, 'Classes': 7, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 4]}, {'Data': 0, 'Classes': 11, 'Algorithm': 'CYC', 'CycleType': [1, 1, 2, 3]}, {'Data': 0, 'Classes': 9, 'Algorithm': 'CYC', 'CycleType': [1, 1, 5]}, {'Data': 0, 'Classes': 3, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2, 2]}, {'Data': 0, 'Classes': 8, 'Algorithm': 'CYC', 'CycleType': [1, 2, 4]}, {'Data': 0, 'Classes': 6, 'Algorithm': 'CYC', 'CycleType': [1, 3, 3]}, {'Data': 0, 'Classes': 12, 'Algorithm': 'CYC', 'CycleType': [1, 6]}, {'Data': 0, 'Classes': 10, 'Algorithm': 'CYC', 'CycleType': [2, 2, 3]}, {'Data': 0, 'Classes': 14, 'Algorithm': 'CYC', 'CycleType': [2, 5]}, {'Data': 0, 'Classes': 15, 'Algorithm': 'CYC', 'CycleType': [3, 4]}, {'Data': 0, 'Classes': 13, 'Algorithm': 'CYC', 'CycleType': [7]}], 'Frobs': [13, 13, 13, 12, 10, 10, 12, 15, 9, 11, 11, 9, 11, 13, 10, 15, 6, 6, 12, 8, 8, 13, 5, 12, 13, 6, 14, 15, 6, 8, 7, 12, 13, 15, 8, 10, 9, 6, 4, 13, 11, 10, 8, 12, 15, 13, 15, 15, 12, 9, 12, 14, 13, 12, 9, 14, 14, 11, 13, 8, 11, 9, 14, 9, 14, 12, 12, 15, 12, 9, 10, 13, 11, 11, 12, 14, 8, 15, 15, 12, 3, 9, 9, 15, 6, 7, 11, 14, 8, 8, 6, 9, 12, 9, 10, 10, 6, 15, 8, 13, 8, 9, 8, 9, 12, 12, 5, 8, 9, 11, 13, 7, 15, 14, 12, 9, 14, 15, 6, 15, 13, 11, 12, 8, 9, 9, 15, 4, 14, 9, 8, 15, 13, 4, 9, 13, 12, 9, 12, 7, 9, 8, 7, 11, 9, 15, 15, 14, 15, 12, 8, 13, 9, 12, 14, 10, 10, 9, 10, 12, 12, 11, 11, 13, 15, 3, 10, 12], 'G-Gens': [[2, 3, 4, 5, 6, 7, 1], [2, 1, 3, 4, 5, 6, 7]], 'G-Name': 'S7', 'Polynomial': [1, 1, -2, -1, 2, 0, -1, 1], 'QpRts': [['48055120381', '0'], ['-60350526909', '0'], ['8264946415', '37401420116'], ['-14731337827', '32492212083'], ['34444516295', '-37401420116'], ['47024851889', '-32492212083'], ['-62707570243', '0']], 'QpRts-minpoly': [5, 166, 1], 'QpRts-p': 167, 'QpRts-prec': 5, 'Size': 5040, 'TransitiveDegree': 7}