Artin representation data - 70.515032279716534633102079631518330199783418041514749767510985855869341934761392210495237217330955785246179923266129287533183612995632780458627572856510443047134047818251730643809097369404567433725336703991055588343559968131942505027958961921166781166866931564372307126496377543256137691901011658304407993998315326936170603506781758080021346693412756396337287262843898068900680029281949265589057636602511343997921012622601820956634919199639399925438562008265433303784885955726356758628022564672406163550515930753379843702784.120.a

Formats: - HTML - YAML - JSON - 2024-04-19T12:09:43.090186

• 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': '70.515032279716534633102079631518330199783418041514749767510985855869341934761392210495237217330955785246179923266129287533183612995632780458627572856510443047134047818251730643809097369404567433725336703991055588343559968131942505027958961921166781166866931564372307126496377543256137691901011658304407993998315326936170603506781758080021346693412756396337287262843898068900680029281949265589057636602511343997921012622601820956634919199639399925438562008265433303784885955726356758628022564672406163550515930753379843702784.120.a', 'CharacterField': 1, 'Conductor': 515032279716534633102079631518330199783418041514749767510985855869341934761392210495237217330955785246179923266129287533183612995632780458627572856510443047134047818251730643809097369404567433725336703991055588343559968131942505027958961921166781166866931564372307126496377543256137691901011658304407993998315326936170603506781758080021346693412756396337287262843898068900680029281949265589057636602511343997921012622601820956634919199639399925438562008265433303784885955726356758628022564672406163550515930753379843702784, 'Container': '120', 'Dets': ['1.1.1t1.a.a'], 'Dim': 70, 'GalConjSigns': [1], 'Galn': 8, 'GaloisConjugates': [{'Sign': 1, 'Character': [[70], [-2], [2], [-5], [1], [-2], [0], [0], [-1], [1], [0], [0], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [15, 10, 16, 17, 17], 'LocalFactors': [[[1], [-70], [2415], [-54740], [916895], [-12103014], [131115985], [-1198774720], [9440350920], [-65033528560], [396704524216], [-2163842859360], [10638894058520], [-47465835030320], [193253756909160], [-721480692460864], [2480089880334220], [-7877932561061640], [23196134763125940], [-63484158299081520], [161884603662657876], [-385439532530137800], [858478958817125100], [-1791608261879217600], [3508566179513467800], [-6455761770304780752], ['11173433833219812840'], ['-18208558839321176480'], ['27963143931814663880'], ['-40498346384007444240'], ['55347740058143507128'], ['-71416438784701299520'], ['87038784768854708790'], ['-100226479430802391940'], ['109069992321755544170'], ['-112186277816662845432'], ['109069992321755544170'], ['-100226479430802391940'], ['87038784768854708790'], ['-71416438784701299520'], ['55347740058143507128'], ['-40498346384007444240'], ['27963143931814663880'], ['-18208558839321176480'], ['11173433833219812840'], [-6455761770304780752], [3508566179513467800], [-1791608261879217600], [858478958817125100], [-385439532530137800], [161884603662657876], [-63484158299081520], [23196134763125940], [-7877932561061640], [2480089880334220], 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[6188], [0], [-6188], [0], [-2380], [0], [2380], [0], [680], [0], [-680], [0], [-136], [0], [136], [0], [17], [0], [-17], [0], [-1], [0], [1]], [[1], [0], [0], [0], [0], [-14], [0], [0], [0], [0], [91], [0], [0], [0], [0], [-364], [0], [0], [0], [0], [1001], [0], [0], [0], [0], [-2002], [0], [0], [0], [0], [3003], [0], [0], [0], [0], [-3432], [0], [0], [0], [0], [3003], [0], [0], [0], [0], [-2002], [0], [0], [0], [0], [1001], [0], [0], [0], [0], [-364], [0], [0], [0], [0], [91], [0], [0], [0], [0], [-14], [0], [0], [0], [0], [1]], [[1], [1], [3], [2], [5], [3], [-5], [-8], [-27], [-19], [-49], [-30], [-5], [25], [105], [80], [215], [135], [105], [-30], [-225], [-195], [-555], [-360], [-390], [-30], [270], [300], [930], [630], [798], [168], [-126], [-294], [-1050], [-756], [-1050], [-294], [-126], [168], [798], [630], [930], [300], [270], [-30], [-390], [-360], [-555], [-195], [-225], [-30], [105], [135], [215], [80], [105], [25], [-5], [-30], [-49], [-19], [-27], [-8], [-5], [3], [5], [2], [3], [1], [1]], [[1], [-1], [0], [1], [-1], [0], [-11], [11], [0], [-11], [11], [0], [55], [-55], [0], [55], [-55], [0], [-165], [165], [0], [-165], [165], [0], [330], [-330], [0], [330], [-330], [0], [-462], [462], [0], [-462], [462], [0], [462], [-462], [0], [462], [-462], [0], [-330], [330], [0], [-330], [330], [0], [165], [-165], [0], [165], [-165], [0], [-55], [55], [0], [-55], [55], [0], [11], [-11], [0], [11], [-11], [0], [-1], [1], [0], [-1], [1]], [[1], [0], [0], [0], [0], [0], [0], [-10], [0], [0], [0], [0], [0], [0], [45], [0], [0], [0], [0], [0], [0], [-120], [0], [0], [0], [0], [0], [0], [210], [0], [0], [0], [0], [0], [0], [-252], [0], [0], [0], [0], [0], [0], [210], [0], [0], [0], [0], [0], [0], [-120], [0], [0], [0], [0], [0], [0], [45], [0], [0], [0], [0], [0], [0], [-10], [0], [0], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [0], [0], [-10], [0], [0], [0], [0], [0], [0], [45], [0], [0], [0], [0], [0], [0], [-120], [0], [0], [0], [0], [0], [0], [210], [0], [0], [0], [0], [0], [0], [-252], [0], [0], [0], [0], [0], [0], [210], [0], [0], [0], [0], [0], [0], [-120], [0], [0], [0], [0], [0], [0], [45], [0], [0], [0], [0], [0], [0], [-10], [0], [0], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [6], [0], [0], [0], [0], [6], [0], [0], [0], [0], [6], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [6], [0], [0], [0], [0], [6], [0], [0], [0], [0], [6], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1]], [[1], [-8], [28], [-56], [70], [-56], [28], [-8], [1]], [[1], [-10], [45], [-120], [210], [-252], [210], [-120], [45], [-10], [1]], [[1], [-1], [0], [-3], [3], [0], [3], [-3], [0], [-1], [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, 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