Artin representation data - 35.223161332159922998005431943811725723070059325897778433408348209634456805917904743.70.a

Formats: - HTML - YAML - JSON - 2024-05-04T20:49:26.186069

• 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': [167, 1361], 'Baselabel': '35.223161332159922998005431943811725723070059325897778433408348209634456805917904743.70.a', 'CharacterField': 1, 'Conductor': 223161332159922998005431943811725723070059325897778433408348209634456805917904743, 'Container': '70', 'Dets': ['1.227287.2t1.a.a'], 'Dim': 35, 'GalConjSigns': [1], 'Galn': 7, 'GaloisConjugates': [{'Sign': 1, 'Character': [[35], [5], [1], [-1], [-1], [-1], [-1], [1], [0], [-1], [-1], [1], [0], [0], [-1]], 'GalOrbIndex': 1, 'HardFactors': [16, 17], 'LocalFactors': [[[1], [-35], [595], [-6545], [52360], [-324632], [1623160], [-6724520], [23535820], [-70607460], [183579396], [-417225900], [834451800], [-1476337800], [2319959400], [-3247943160], [4059928950], [-4537567650], [4537567650], [-4059928950], [3247943160], [-2319959400], [1476337800], [-834451800], [417225900], [-183579396], [70607460], [-23535820], [6724520], [-1623160], [324632], [-52360], [6545], [-595], [35], [-1]], [[1], [-5], [-5], [65], [-40], [-376], [520], [1240], [-2660], [-2380], [8372], [1820], [-18200], [3640], [28600], [-14872], [-32890], [27170], [27170], [-32890], [-14872], [28600], [3640], [-18200], [1820], [8372], [-2380], [-2660], [1240], [520], [-376], [-40], [65], [-5], [-5], [1]], [[1], [-1], [-17], [17], [136], [-136], [-680], [680], [2380], [-2380], [-6188], [6188], [12376], [-12376], [-19448], [19448], [24310], [-24310], [-24310], [24310], [19448], [-19448], [-12376], [12376], [6188], [-6188], [-2380], [2380], [680], [-680], [-136], [136], [17], [-17], [-1], [1]], [[1], [1], [-17], [-17], [136], [136], [-680], [-680], [2380], [2380], [-6188], [-6188], [12376], [12376], [-19448], [-19448], [24310], [24310], [-24310], [-24310], [19448], [19448], [-12376], [-12376], [6188], [6188], [-2380], [-2380], [680], [680], [-136], [-136], [17], [17], [-1], [-1]], [[1], [1], [1], [-11], [-11], [-11], [55], [55], [55], [-165], [-165], [-165], [330], [330], [330], [-462], [-462], [-462], [462], [462], [462], [-330], [-330], [-330], [165], [165], [165], [-55], [-55], [-55], [11], [11], [11], [-1], [-1], [-1]], [[1], [1], [1], [-11], [-11], [-11], [55], [55], [55], [-165], [-165], [-165], [330], [330], [330], [-462], [-462], [-462], [462], [462], [462], [-330], [-330], [-330], [165], [165], [165], [-55], [-55], [-55], [11], [11], [11], [-1], [-1], [-1]], [[1], [1], [1], [1], [-8], [-8], [-8], [-8], [28], [28], [28], [28], [-56], [-56], [-56], [-56], [70], [70], [70], [70], [-56], [-56], [-56], [-56], [28], [28], [28], [28], [-8], [-8], [-8], [-8], [1], [1], [1], [1]], [[1], [-1], [1], [-1], [-8], [8], [-8], [8], [28], [-28], [28], [-28], [-56], [56], [-56], [56], [70], [-70], [70], [-70], [-56], [56], [-56], [56], [28], [-28], [28], [-28], [-8], [8], [-8], [8], [1], [-1], [1], [-1]], [[1], [0], [0], [0], [0], [-7], [0], [0], [0], [0], [21], [0], [0], [0], [0], [-35], [0], [0], [0], [0], [35], [0], [0], [0], [0], [-21], [0], [0], [0], [0], [7], [0], [0], [0], [0], [-1]], [[1], [1], [1], [1], [1], [1], [-5], [-5], [-5], [-5], [-5], [-5], [10], [10], [10], [10], [10], [10], [-10], [-10], [-10], [-10], [-10], [-10], [5], [5], [5], [5], [5], [5], [-1], [-1], [-1], [-1], [-1], [-1]], [[1], [1], [1], [-1], [-1], [-1], [-5], [-5], [-5], [5], [5], [5], [10], [10], [10], [-10], [-10], [-10], [-10], [-10], [-10], [10], [10], [10], [5], [5], [5], [-5], [-5], [-5], [-1], [-1], [-1], [1], [1], [1]], [[1], [-1], [1], [-1], [1], [-1], [-5], [5], [-5], [5], [-5], [5], [10], [-10], [10], [-10], [10], [-10], [-10], [10], [-10], [10], [-10], [10], [5], [-5], [5], [-5], [5], [-5], [-1], [1], [-1], [1], [-1], [1]], [[1], [0], [0], [0], [0], [0], [0], [-5], [0], [0], [0], [0], [0], [0], [10], [0], [0], [0], [0], [0], [0], [-10], [0], [0], [0], [0], [0], [0], [5], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [-1], [0], [0], [0], [0], [-3], [0], [0], [0], [0], [3], [0], [0], [0], [0], [3], [0], [0], [0], [0], [-3], [0], [0], [0], [0], [-1], [0], [0], [0], [0], [1]], [[1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [-2], [-2], [-2], [-2], [-2], [-2], [-2], [-2], [-2], [-2], [-2], [-2], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1]], [[1], [1], [1], [0], [0], [0], [-3], [-3], [-3], [0], [0], [0], [3], [3], [3], [0], [0], [0], [-1], [-1], [-1]], [[1], [1], [1], [-6], [-6], [-6], [15], [15], [15], [-20], [-20], [-20], [15], [15], [15], [-6], [-6], [-6], [1], [1], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '7T7', 'Galt': 7, 'HardPrimes': [167, 1361], 'Hide': 0, 'Indicator': 1, 'Is_Even': False, 'NFGal': [-1, 2, -2, 3, -3, 3, -2, 1], 'NumBadPrimes': 2, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [-1, 2, -2, 3, -3, 3, -2, 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': '1.227287.2t1.a', 'Character': [[1], [-1], [-1], [1], [1], [1], [-1], [1], [1], [1], [-1], [-1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.606558903168239414267905207.14t46.a', 'Character': [[6], [-4], [0], [2], [3], [0], [-2], [0], [1], [-1], [-1], [0], [-1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.227287.7t7.a', 'Character': [[6], [4], [0], [2], [3], [0], [2], [0], [1], [-1], [1], [0], [-1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.2668691580109022576161.21t38.a', 'Character': [[14], [6], [2], [2], [2], [-1], [0], [0], [-1], [2], [0], [-1], [0], [1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.367913703012657638147710761445023668138230595937712849.42t413.a', 'Character': [[14], [-6], [-2], [2], [2], [-1], [0], [0], [-1], [2], [0], [1], [0], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.1618718637725244462497682495897361785488085970327.30t565.a', 'Character': [[14], [-4], [0], [2], [-1], [2], [2], [0], [-1], [-1], [-1], [0], [0], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.606558903168239414267905207.30t565.a', 'Character': [[14], [4], [0], [2], [-1], [2], [-2], [0], [-1], [-1], [1], [0], [0], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '15.606558903168239414267905207.42t412.a', 'Character': [[15], [5], [-3], [-1], [3], [0], [1], [-1], [0], [-1], [-1], [0], [1], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '15.367913703012657638147710761445023668138230595937712849.42t411.a', 'Character': [[15], [-5], [3], [-1], [3], [0], [-1], [-1], [0], [-1], [1], [0], [1], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.367913703012657638147710761445023668138230595937712849.70.a', 'Character': [[20], [0], [0], [-4], [2], [2], [0], [0], [0], [2], [0], [0], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.367913703012657638147710761445023668138230595937712849.84.a', 'Character': [[21], [1], [-3], [1], [-3], [0], [-1], [-1], [1], [1], [1], [0], [0], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.83622001816637916601678735836555094460134017458894940310663.42t418.a', 'Character': [[21], [-1], [3], [1], [-3], [0], [1], [-1], [1], [1], [-1], [0], [0], [-1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.135360492864486046044476870235854960050728470870801787505812427823273468737697618838715499992135697179696801.126.a', 'Character': [[35], [-5], [-1], [-1], [-1], [-1], [1], [1], [0], [-1], [1], [-1], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.223161332159922998005431943811725723070059325897778433408348209634456805917904743.70.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, 14, 14, 14, 15, 15, 12, 3, 11, 15, 6, 13, 12, 13, 12, 7, 12, 9, 11, 12, 9, 15, 12, 14, 13, 13, 8, 12, 6, 6, 14, 9, 8, 9, 12, 15, 13, 14, 11, 13, 9, 13, 9, 9, 8, 12, 9, 14, 9, 12, 6, 8, 13, 13, 13, 13, 14, 13, 8, 3, 11, 13, 14, 8, 8, 12, 8, 8, 6, 13, 7, 7, 11, 8, 14, 7, 6, 12, 13, 11, 7, 7, 11, 14, 12, 10, 10, 6, 13, 12, 12, 12, 8, 13, 13, 13, 3, 12, 14, 12, 12, 12, 15, 13, 11, 13, 6, 6, 13, 15, 6, 14, 14, 4, 14, 12, 9, 7, 7, 9, 4, 10, 12, 7, 14, 9, 14, 14, 6, 4, 14, 6, 15, 13, 12, 8, 8, 8, 11, 14, 8, 13, 14, 11, 12, 11, 7, 12, 9, 12, 13, 6, 6, 4, 7, 8, 8, 11, 12, 3, 13, 5, 12, 13, 10, 12, 8, 12], 'G-Gens': [[2, 3, 4, 5, 6, 7, 1], [2, 1, 3, 4, 5, 6, 7]], 'G-Name': 'S7', 'Polynomial': [-1, 2, -2, 3, -3, 3, -2, 1], 'QpRts': [['777401', '-599281'], ['-768970', '0'], ['-548168', '-103545'], ['-816036', '599281'], ['-447298', '910998'], ['-1160457', '103545'], ['487431', '-910998']], 'QpRts-minpoly': [2, 18, 1], 'QpRts-p': 19, 'QpRts-prec': 5, 'Size': 5040, 'TransitiveDegree': 7}