Artin representation data - 70.59292497590365978775066259282371356324099087589451852834051560493581742301362800761014856410599838909550460069919103415346938280960858007483925448332734814832869414533307087297469032955918412797071591038537915334014441829939134204691511168167771445249704063406562069893465866656561885345431544694520206975535665087694335639368046446475487780629915732306187663360379065895427881865249477644803208120599518883166637527138304.120.a

Formats: - HTML - YAML - JSON - 2024-04-20T14:50:56.384166

• 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, 823643], 'Baselabel': '70.59292497590365978775066259282371356324099087589451852834051560493581742301362800761014856410599838909550460069919103415346938280960858007483925448332734814832869414533307087297469032955918412797071591038537915334014441829939134204691511168167771445249704063406562069893465866656561885345431544694520206975535665087694335639368046446475487780629915732306187663360379065895427881865249477644803208120599518883166637527138304.120.a', 'CharacterField': 1, 'Conductor': 59292497590365978775066259282371356324099087589451852834051560493581742301362800761014856410599838909550460069919103415346938280960858007483925448332734814832869414533307087297469032955918412797071591038537915334014441829939134204691511168167771445249704063406562069893465866656561885345431544694520206975535665087694335639368046446475487780629915732306187663360379065895427881865249477644803208120599518883166637527138304, '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, 5, 16], '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], [-721480692460864], [193253756909160], [-47465835030320], [10638894058520], [-2163842859360], [396704524216], [-65033528560], [9440350920], [-1198774720], [131115985], [-12103014], [916895], [-54740], [2415], [-70], [1]], [[1], [2], [-33], [-68], [527], [1122], [-5423], [-11968], [40392], [92752], [-231880], [-556512], [1066648], [2689808], [-4034712], [-10759232], [12776588], [36312408], [-34295052], [-104902512], [78676884], [262256280], [-154969620], [-572195520], [262256280], [1096708080], [-379629720], [-1855967520], [463991880], [2783951280], [-463991880], [-3711935040], 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[-880], [-200], [480], [344], [208], [72], [-64], [-47], [-30], [-13], [4], [3], [2], [1]], [[1], [0], [-1], [0], [-17], [0], [17], [0], [136], [0], [-136], [0], [-680], [0], [680], [0], [2380], [0], [-2380], [0], [-6188], [0], [6188], [0], [12376], [0], [-12376], [0], [-19448], [0], [19448], [0], [24310], [0], [-24310], [0], [-24310], [0], [24310], [0], [19448], [0], [-19448], [0], [-12376], [0], [12376], [0], [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], 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[-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], [2], [1]], [[1], [-1], [0], [-3], [3], [0], [3], [-3], [0], [-1], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T49', 'Galt': 49, 'HardPrimes': [2, 5, 823643], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [823636, -48, -140, -224, -210, -112, -28, 0, 1], 'NumBadPrimes': 2, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [823636, -48, -140, -224, -210, -112, -28, 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': '7.81841577658693500678182700989203572064256.8t49.a', 'Character': [[7], [-1], [3], [4], [1], [-1], [1], [2], [0], [-1], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.6698043833663959144183211321830834991539414855449518754887122127083713448992833536.15t72.a', 'Character': [[14], [6], [2], [-1], [2], [2], [0], [-1], [-1], [0], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.548178474574142044915552922500237760945957764500594856450293617002171528404769501341361123634962334261069027591074103689216.28t433.a', 'Character': [[20], [4], [4], [5], [-1], [0], [0], [0], [1], [1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.8981356127422743263896419082243895475338572013577746128081610620963578321383743509976860649635222884533354948052158114844114944.56.a', 'Character': [[21], [-3], [1], [6], [0], [1], [-1], [1], [-2], [0], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.8981356127422743263896419082243895475338572013577746128081610620963578321383743509976860649635222884533354948052158114844114944.336.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': '21.8981356127422743263896419082243895475338572013577746128081610620963578321383743509976860649635222884533354948052158114844114944.336.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': '28.735048354982851162792943199482578658418749530340835117165863783397942516875357932242110901398151015115980407455844621724078718434170195443200456886892997610803417841664.56.a', 'Character': [[28], [-4], [4], [1], [1], [0], [0], [-2], [1], [-1], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.985620758974036725443001500568359181843859202357635947166088312658229520339018522553804143841274189504676243849082051687542175044389209838904186946603053975391854391266542353599018454323481576445438208277905145856.70.a', 'Character': [[35], [3], [-5], [5], [2], [-1], [-1], [0], [1], [0], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '45.738449514469658301342946936007618949630392266242821626655867957893967038129653276185522504089784990311867612577923690043890363538091346306139119724204790826385160188127731082187026686556586024491330662274727469434257978944680228012196546020644384594546972814608485732600250368.336.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': 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