Artin representation data - 21.30582187596864591403204628819324840038723727.42t418.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': [23, 709], 'Baselabel': '21.30582187596864591403204628819324840038723727.42t418.a', 'CharacterField': 1, 'Conductor': 30582187596864591403204628819324840038723727, 'Container': '42t418', 'Dets': ['1.23.2t1.a.a'], 'Dim': 21, 'GalConjSigns': [1], 'Galn': 7, 'GaloisConjugates': [{'Sign': 1, 'Character': [[21], [-1], [3], [1], [-3], [0], [1], [-1], [1], [1], [-1], [0], [0], [-1], [1]], 'GalOrbIndex': 1, 'HardFactors': [16, 17], 'LocalFactors': [[[1], [-21], [210], [-1330], [5985], [-20349], [54264], [-116280], [203490], [-293930], [352716], [-352716], [293930], [-203490], [116280], [-54264], [20349], [-5985], [1330], [-210], [21], [-1]], [[1], [1], [-10], [-10], [45], [45], [-120], [-120], [210], [210], [-252], [-252], [210], [210], [-120], [-120], [45], [45], [-10], [-10], [1], [1]], [[1], [-3], [-6], [26], [9], [-99], [24], [216], [-126], [-294], [252], [252], [-294], [-126], [216], [24], [-99], [9], [26], [-6], [-3], [1]], [[1], [-1], [-10], [10], [45], [-45], [-120], [120], [210], [-210], [-252], [252], [210], [-210], [-120], [120], [45], [-45], [-10], [10], [1], [-1]], [[1], [3], [6], [2], [-9], [-27], [-24], [0], [45], [55], [30], [-30], [-55], [-45], [0], [24], [27], [9], [-2], [-6], [-3], [-1]], [[1], [0], [0], [-7], [0], [0], [21], [0], [0], [-35], [0], [0], [35], [0], [0], [-21], [0], [0], [7], [0], [0], [-1]], [[1], [-1], [0], [0], [-5], [5], [0], [0], [10], [-10], [0], [0], [-10], [10], [0], [0], [5], [-5], [0], [0], [-1], [1]], [[1], [1], [0], [0], [-5], [-5], [0], [0], [10], [10], [0], [0], [-10], [-10], [0], [0], [5], [5], [0], [0], [-1], [-1]], [[1], [-1], [0], [0], [0], [-4], [4], [0], [0], [0], [6], [-6], [0], [0], [0], [-4], [4], [0], [0], [0], [1], [-1]], [[1], [-1], [2], [-2], [3], [-3], [0], [0], [-3], [3], [-6], [6], [-3], [3], [0], [0], [3], [-3], [2], [-2], [1], [-1]], [[1], [1], [2], [2], [3], [3], [0], [0], [-3], [-3], [-6], [-6], [-3], [-3], [0], [0], [3], [3], [2], [2], [1], [1]], [[1], [0], [0], [-1], [0], [0], [-3], [0], [0], [3], [0], [0], [3], [0], [0], [-3], [0], [0], [-1], [0], [0], [1]], [[1], [0], [0], [0], [0], [0], [0], [-3], [0], [0], [0], [0], [0], [0], [3], [0], [0], [0], [0], [0], [0], [-1]], [[1], [1], [0], [0], [0], [0], [0], [0], [0], [0], [-2], [-2], [0], [0], [0], [0], [0], [0], [0], [0], [1], [1]], [[1], [-1], [0], [0], [1], [-1], [0], [0], [1], [-1], [0], [0], [-1], [1], [0], [0], [-1], [1], [0], [0], [-1], [1]], [[1], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [1]], [[1], [-1], [1], [-1], [1], [-1], [-1], [1], [-1], [1], [-1], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '7T7', 'Galt': 7, 'HardPrimes': [23, 709], 'Hide': 0, 'Indicator': 1, 'Is_Even': False, 'NFGal': [1, -2, -8, 2, 5, -3, -1, 1], 'NumBadPrimes': 2, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [1, -2, -8, 2, 5, -3, -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': '1.23.2t1.a', 'Character': [[1], [-1], [-1], [1], [1], [1], [-1], [1], [1], [1], [-1], [-1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.3235427335583.14t46.a', 'Character': [[6], [-4], [0], [2], [3], [0], [-2], [0], [1], [-1], [-1], [0], [-1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.11561663.7t7.a', 'Character': [[6], [4], [0], [2], [3], [0], [2], [0], [1], [-1], [1], [0], [-1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.35545837828733437408681.21t38.a', 'Character': [[14], [6], [2], [2], [2], [-1], [0], [0], [-1], [2], [0], [-1], [0], [1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.5262059703226384150819948152409.42t413.a', 'Character': [[14], [-6], [-2], [2], [2], [-1], [0], [0], [-1], [2], [0], [1], [0], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.228785204488103658731302093583.30t565.a', 'Character': [[14], [-4], [0], [2], [-1], [2], [2], [0], [-1], [-1], [-1], [0], [0], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.817554270060869060399663.30t565.a', 'Character': [[14], [4], [0], [2], [-1], [2], [-2], [0], [-1], [-1], [1], [0], [0], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '15.410968998028467720150762996503.42t412.a', 'Character': [[15], [5], [-3], [-1], [3], [0], [1], [-1], [0], [-1], [-1], [0], [1], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '15.2645137433677542011318322357201108529.42t411.a', 'Character': [[15], [-5], [3], [-1], [3], [0], [-1], [-1], [0], [-1], [1], [0], [1], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.668394984494760420484969826935957822413290513569.70.a', 'Character': [[20], [0], [0], [-4], [2], [2], [0], [0], [0], [2], [0], [0], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.1329660330298460495791505600840210436466249.84.a', 'Character': [[21], [1], [-3], [1], [-3], [0], [-1], [-1], [1], [1], [1], [0], [0], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.30582187596864591403204628819324840038723727.42t418.a', 'Character': [[21], [-1], [3], [1], [-3], [0], [1], [-1], [1], [1], [-1], [0], [0], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.3517134313748502654250454193351641110192901104496744429678910017557068294537721.126.a', 'Character': [[35], [-5], [-1], [-1], [-1], [-1], [1], [1], [0], [-1], [1], [-1], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.546449173660959749076525939240907625680126292911478525877025201664527247.70.a', 'Character': [[35], [5], [1], [-1], [-1], [-1], [-1], [1], [0], [-1], [-1], [1], [0], [0], [-1]], 'CharacterField': 1}], 'ComplexConjugation': 2, '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, 12, 15, 12, 13, 11, 14, 9, 9, 13, 14, 13, 11, 6, 14, 8, 15, 14, 6, 9, 11, 12, 12, 12, 8, 12, 12, 15, 14, 8, 9, 12, 6, 14, 13, 14, 13, 9, 13, 10, 11, 12, 10, 5, 12, 9, 8, 11, 14, 6, 13, 12, 15, 8, 12, 9, 6, 9, 12, 15, 11, 9, 4, 11, 13, 8, 14, 8, 8, 13, 7, 12, 12, 3, 12, 14, 6, 11, 13, 3, 11, 11, 14, 8, 10, 13, 15, 13, 6, 12, 12, 4, 8, 8, 3, 9, 12, 15, 6, 13, 14, 12, 2, 12, 6, 13, 8, 13, 8, 13, 15, 12, 11, 12, 11, 12, 10, 9, 15, 15, 6, 7, 5, 9, 12, 15, 10, 15, 12, 8, 7, 12, 7, 10, 15, 7, 12, 11, 10, 8, 8, 13, 12, 13, 11, 8, 9, 13, 13, 9, 15, 10, 9, 14, 12, 12, 13, 12, 7, 9, 12, 9, 14, 12, 12, 8, 8], 'G-Gens': [[2, 3, 4, 5, 6, 7, 1], [2, 1, 3, 4, 5, 6, 7]], 'G-Name': 'S7', 'Polynomial': [1, -2, -8, 2, 5, -3, -1, 1], 'QpRts': [['-637984027524', '-978718246241'], ['807312469979', '0'], ['1428361398780', '0'], ['306920822930', '0'], ['19094617481', '-1288273913713'], ['188109961882', '978718246241'], ['797574779024', '1288273913713']], 'QpRts-minpoly': [17, 310, 1], 'QpRts-p': 311, 'QpRts-prec': 5, 'Size': 5040, 'TransitiveDegree': 7}