Artin representation data - 64.91641670748848482832403196711945603240247718111273033244589178562712452372568054853495805267834328481580386515777517380942993629003169127244600785859214182603634034597536619998685360883426251038869742819115533880506609428884855573755881411446556815069418421014037949117475102106370659846354282996796928548392095158824994261231634684500171550501405225850346102377743167791739485384057130734154900626854500288026058857501770814530644432993058036873304718121461267084345344.168.a

Formats: - HTML - YAML - JSON - 2024-04-24T04:30:00.500213

• 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, 29, 37, 49121], 'Baselabel': '64.91641670748848482832403196711945603240247718111273033244589178562712452372568054853495805267834328481580386515777517380942993629003169127244600785859214182603634034597536619998685360883426251038869742819115533880506609428884855573755881411446556815069418421014037949117475102106370659846354282996796928548392095158824994261231634684500171550501405225850346102377743167791739485384057130734154900626854500288026058857501770814530644432993058036873304718121461267084345344.168.a', 'CharacterField': 1, 'Conductor': 91641670748848482832403196711945603240247718111273033244589178562712452372568054853495805267834328481580386515777517380942993629003169127244600785859214182603634034597536619998685360883426251038869742819115533880506609428884855573755881411446556815069418421014037949117475102106370659846354282996796928548392095158824994261231634684500171550501405225850346102377743167791739485384057130734154900626854500288026058857501770814530644432993058036873304718121461267084345344, 'Container': '168', 'Dets': ['1.1.1t1.a.a'], 'Dim': 64, 'GalConjSigns': [1], 'Galn': 8, 'GaloisConjugates': [{'Sign': 1, 'Character': [[64], [0], [0], [4], [-2], [0], [0], [-1], [0], [0], [1], [1], [-1], [-1]], 'GalOrbIndex': 1, 'HardFactors': [15, 10, 16, 17, 17], 'LocalFactors': [[[1], [-64], [2016], [-41664], [635376], [-7624512], [74974368], [-621216192], [4426165368], [-27540584512], [151473214816], [-743595781824], [3284214703056], [-13136858812224], [47855699958816], [-159518999862720], [488526937079580], 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[81], [-120], [270], [-780], [1140], [-1900], [4750], [-6840], [9405], [-20520], [29070], [-34884], [66861], [-93024], [100776], [-170544], [232560], [-232560], [348840], [-465120], [436050], [-581400], [755820], [-671840], [797810], [-1007760], [856596], [-906984], [1108536], [-906984], [856596], [-1007760], [797810], [-671840], [755820], [-581400], [436050], [-465120], [348840], [-232560], [232560], [-170544], [100776], [-93024], [66861], [-34884], [29070], [-20520], [9405], [-6840], [4750], [-1900], [1140], [-780], [270], [-120], [81], [-24], [6], [-4], [1]], [[1], [2], [3], [-18], [-39], [-60], [150], [360], [570], [-760], [-2090], [-3420], [2565], [8550], [14535], [-5814], [-26163], [-46512], [7752], [62016], [116280], [0], [-116280], [-232560], [-29070], [174420], [377910], [83980], [-209950], [-503880], [-151164], [201552], [554268], [201552], [-151164], [-503880], [-209950], [83980], [377910], [174420], [-29070], [-232560], [-116280], [0], [116280], [62016], [7752], [-46512], [-26163], [-5814], [14535], [8550], [2565], [-3420], [-2090], [-760], [570], [360], [150], [-60], [-39], [-18], [3], [2], [1]], [[1], [0], [0], [0], [-16], [0], [0], [0], [120], [0], [0], [0], [-560], [0], [0], [0], [1820], [0], [0], [0], [-4368], [0], [0], [0], [8008], [0], [0], [0], [-11440], [0], [0], [0], [12870], [0], [0], [0], [-11440], [0], [0], [0], [8008], [0], [0], [0], [-4368], [0], [0], [0], [1820], [0], [0], [0], [-560], [0], [0], [0], [120], [0], [0], [0], [-16], [0], [0], [0], [1]], [[1], [0], [0], [0], [-16], [0], [0], [0], [120], [0], [0], [0], [-560], [0], [0], [0], [1820], [0], [0], [0], [-4368], [0], [0], [0], [8008], [0], [0], [0], [-11440], [0], [0], [0], [12870], [0], [0], [0], [-11440], [0], [0], [0], [8008], [0], [0], [0], [-4368], [0], [0], [0], [1820], [0], [0], [0], [-560], [0], [0], [0], [120], [0], [0], [0], [-16], [0], [0], [0], [1]], [[1], [1], [1], [1], [1], [-12], [-12], [-12], [-12], [-12], [66], [66], [66], [66], [66], [-220], [-220], [-220], [-220], [-220], [495], [495], [495], [495], [495], [-792], [-792], [-792], [-792], [-792], [924], [924], [924], [924], [924], [-792], [-792], [-792], [-792], [-792], [495], [495], [495], [495], [495], [-220], [-220], [-220], [-220], [-220], [66], [66], [66], [66], [66], [-12], [-12], [-12], [-12], [-12], [1], [1], [1], [1], [1]], [[1], [0], [-2], [0], [1], [0], [-10], [0], [20], [0], [-10], [0], [45], [0], [-90], [0], [45], [0], [-120], [0], [240], [0], [-120], [0], [210], [0], [-420], [0], [210], [0], [-252], [0], [504], [0], [-252], [0], [210], [0], [-420], [0], [210], [0], [-120], [0], [240], [0], [-120], [0], [45], [0], [-90], [0], [45], [0], [-10], [0], [20], [0], [-10], [0], [1], [0], [-2], [0], [1]], [[1], [0], [1], [0], [1], [0], [-10], [0], [-10], [0], [-10], [0], [45], [0], [45], [0], [45], [0], [-120], [0], [-120], [0], [-120], [0], [210], [0], [210], [0], [210], [0], [-252], [0], [-252], [0], [-252], [0], [210], [0], [210], [0], [210], [0], [-120], [0], [-120], [0], [-120], [0], 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[0], [0], [0], [0], [0], [0], [0], [-4], [-4], [-4], [-4], [-4], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [1], [1], [1], [1], [1]], [[1], [1], [1], [1], [1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-4], [-4], [-4], [-4], [-4], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [6], [6], [6], [6], [6], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-4], [-4], [-4], [-4], [-4], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [1], [1], [1], [1], [1]], [[1], [-8], [28], [-56], [70], [-56], [28], [-8], [1]], [[1], [-10], [45], [-120], [210], [-252], [210], [-120], [45], [-10], [1]], [[1], [2], [3], [0], [-3], [-6], [-3], [0], [3], [2], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T49', 'Galt': 49, 'HardPrimes': [2, 3, 29, 37, 49121], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [210825540, -6144, -8960, -7168, -3360, -896, -112, 0, 1], 'NumBadPrimes': 4, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [210825540, -6144, -8960, -7168, -3360, -896, -112, 0, 1], 'Proj_nTj': [8, 49]}
• 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': '7.5620066455663197695561554590870531303687507769819136.8t49.a', 'Character': [[7], [-1], [3], [4], [1], [-1], [1], [2], [0], [-1], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.123379480336213661207646179183607816022041065648493536747069045712844181484795703149961320661742780416.15t72.a', 'Character': [[14], [6], [2], [-1], [2], [2], [0], [-1], [-1], [0], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.693400878754711506104386119881156659648640182014757452993542831057608605467401906909994470547407799340325815713062202475380467426278461025238386082840576.28t433.a', 'Character': [[20], [4], [4], [5], [-1], [0], [0], [0], [1], [1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.11360679997517193316014262188132870711683320742129786109846205744047859391977912842813349405448729384391898164642811125356633578312146305437505717581259997184.56.a', 'Character': [[21], [-3], [1], [6], [0], [1], [-1], [1], [-2], [0], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.11360679997517193316014262188132870711683320742129786109846205744047859391977912842813349405448729384391898164642811125356633578312146305437505717581259997184.336.a', 'Character': [[21, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 2, 1, -1, 2, -1, 0, 1], [1, -2, -1, 1, -2, 1, 0, -1]], 'CharacterField': 15}, {'GalConj': 2, 'Baselabel': '21.11360679997517193316014262188132870711683320742129786109846205744047859391977912842813349405448729384391898164642811125356633578312146305437505717581259997184.336.a', 'Character': [[21, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, -2, -1, 1, -2, 1, 0, -1], [-2, 2, 1, -1, 2, -1, 0, 1]], 'CharacterField': 15}, {'GalConj': 1, 'Baselabel': '28.63847776567570238235447619563167307119419147963794860651919965150253064122368864375441507521485960861958340731631668647922434733280685843724292995768995238123176240662285272535256949160256671101561111549313024.56.a', 'Character': [[28], [-4], [4], [1], [1], [0], [0], [-2], [1], [-1], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.1435314989424320940198956657653212261933937754072946629454534616715994460538759625973326224680309034898375743287636318813709860279512345172717635320985009110969491196995127742432287895337815184974165986834810769676201513508550333875476145181867861131766116909056.70.a', 'Character': [[35], [3], [-5], [5], [2], [-1], [-1], [0], [1], [0], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '45.19351265663208806397223533917997873048894810679867874510331535054651248189068766465669145043128501096903607178566261510844704704176106283832449948027226916236142692582278425533702167787021442904542330530442998369844012880791922297372394938432816025542858841391108704558668966730739556851638283722757521056306193580823422872006302831768240128.336.a', 'Character': [[45, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, 0], [-1, -1, -1, 0, -1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 2, 'Baselabel': '45.19351265663208806397223533917997873048894810679867874510331535054651248189068766465669145043128501096903607178566261510844704704176106283832449948027226916236142692582278425533702167787021442904542330530442998369844012880791922297372394938432816025542858841391108704558668966730739556851638283722757521056306193580823422872006302831768240128.336.a', 'Character': [[45, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, -1, -1, 0, -1, 0], [0, 1, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 1, 'Baselabel': '56.995248674956633591890372333458841589454098790953141026811991847354246276243250196948820412816193214146453280487212806378831494744385519742991140016648733682557905043505216852673706285416155775586620652463313873975879942283699137458951131132843575295466485284083633590406176766789903760289817549699808103324651174033854492228590345313861985700352530187068017934278618148460710055393758453937135131399245645538656256.105.a', 'Character': [[56], [8], [0], [-4], [-1], [0], [0], [1], [0], [-1], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': 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