Artin representation data - 64.533153670904343645293485028144312267550584247171874682287732208391796370521242825186273246447378031924127060602685551112939095482783265484062419252295926836987736743920190314592324953942894798710418891255782936005173599365962769837787486039611125583727626788935853009547995665611051786414111829028957435043243265185933220700811618858041169455847977320511298399081553545804768121975564745950373532979872174780186624.168.a

Formats: - HTML - YAML - JSON - 2024-04-19T05:20:02.227479

• 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, 11, 435593], 'Baselabel': '64.533153670904343645293485028144312267550584247171874682287732208391796370521242825186273246447378031924127060602685551112939095482783265484062419252295926836987736743920190314592324953942894798710418891255782936005173599365962769837787486039611125583727626788935853009547995665611051786414111829028957435043243265185933220700811618858041169455847977320511298399081553545804768121975564745950373532979872174780186624.168.a', 'CharacterField': 1, 'Conductor': 533153670904343645293485028144312267550584247171874682287732208391796370521242825186273246447378031924127060602685551112939095482783265484062419252295926836987736743920190314592324953942894798710418891255782936005173599365962769837787486039611125583727626788935853009547995665611051786414111829028957435043243265185933220700811618858041169455847977320511298399081553545804768121975564745950373532979872174780186624, '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, 16, 16], 'LocalFactors': [[[1], [-64], [2016], [-41664], [635376], [-7624512], [74974368], [-621216192], [4426165368], [-27540584512], [151473214816], [-743595781824], [3284214703056], [-13136858812224], [47855699958816], [-159518999862720], [488526937079580], [-1379370175283520], [3601688791018080], [-8719878125622720], [19619725782651120], [-41107996877935680], [80347448443237920], [-146721427591999680], [250649105469666120], [-401038568751465792], [601557853127198688], [-846636978475316672], [1118770292985239888], [-1388818294740297792], [1620288010530347424], [-1777090076065542336], [1832624140942590534], [-1777090076065542336], [1620288010530347424], [-1388818294740297792], [1118770292985239888], [-846636978475316672], [601557853127198688], [-401038568751465792], [250649105469666120], [-146721427591999680], [80347448443237920], [-41107996877935680], [19619725782651120], [-8719878125622720], [3601688791018080], [-1379370175283520], [488526937079580], [-159518999862720], [47855699958816], [-13136858812224], [3284214703056], [-743595781824], [151473214816], [-27540584512], [4426165368], [-621216192], [74974368], [-7624512], [635376], [-41664], [2016], [-64], [1]], [[1], [0], [-32], [0], [496], [0], [-4960], [0], [35960], [0], [-201376], [0], [906192], [0], [-3365856], [0], [10518300], [0], [-28048800], [0], [64512240], [0], [-129024480], [0], [225792840], [0], [-347373600], [0], [471435600], [0], [-565722720], [0], [601080390], [0], [-565722720], [0], [471435600], [0], [-347373600], [0], [225792840], [0], [-129024480], [0], [64512240], [0], [-28048800], [0], [10518300], [0], [-3365856], [0], [906192], [0], [-201376], [0], [35960], [0], [-4960], [0], [496], [0], [-32], [0], [1]], [[1], [0], [-32], [0], [496], [0], [-4960], [0], [35960], [0], [-201376], [0], [906192], [0], [-3365856], [0], [10518300], [0], [-28048800], [0], [64512240], [0], [-129024480], [0], [225792840], [0], [-347373600], [0], [471435600], [0], [-565722720], [0], [601080390], [0], [-565722720], [0], [471435600], [0], [-347373600], [0], [225792840], [0], [-129024480], [0], [64512240], [0], [-28048800], [0], [10518300], [0], [-3365856], [0], [906192], [0], [-201376], [0], [35960], [0], [-4960], [0], [496], [0], [-32], [0], [1]], [[1], [-4], [6], [-24], [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], 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[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], [45], [0], [45], [0], [45], [0], [-10], [0], [-10], [0], [-10], [0], [1], [0], [1], [0], [1]], [[1], [-1], [0], [0], [0], [0], [0], [-9], [9], [0], [0], [0], [0], [0], [36], [-36], [0], [0], [0], [0], [0], [-84], [84], [0], [0], [0], [0], [0], [126], [-126], [0], [0], [0], [0], [0], [-126], [126], [0], [0], [0], [0], [0], [84], [-84], [0], [0], [0], [0], [0], [-36], [36], [0], [0], [0], [0], [0], [9], [-9], [0], [0], [0], [0], [0], [-1], [1]], [[1], [-1], [0], [0], [0], [0], [0], [-9], [9], [0], [0], [0], [0], [0], [36], [-36], [0], [0], [0], [0], [0], [-84], [84], [0], [0], [0], [0], [0], [126], [-126], [0], [0], [0], [0], [0], [-126], [126], [0], [0], [0], [0], [0], [84], [-84], [0], [0], [0], [0], [0], [-36], [36], [0], [0], [0], [0], [0], [9], [-9], [0], [0], [0], [0], [0], [-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], [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], [2], [3], [0], [-3], [-6], [-3], [0], [3], [2], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T49', 'Galt': 49, 'HardPrimes': [2, 11, 435593], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [210825220, -6144, -8960, -7168, -3360, -896, -112, 0, 1], 'NumBadPrimes': 3, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [210825220, -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': '7.3172352108695376607450650959096645338500694016.8t49.a', 'Character': [[7], [-1], [3], [4], [1], [-1], [1], [2], [0], [-1], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.39311788677906259990169807727791038865629018634038499648235712915647798504189411381477376.15t72.a', 'Character': [[14], [6], [2], [-1], [2], [2], [0], [-1], [-1], [0], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.124710835708942955149870615030739825880999213624774246958382896824972666410171182851189412847732725516603571884808901152141103402582016.28t433.a', 'Character': [[20], [4], [4], [5], [-1], [0], [0], [0], [1], [1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.2043262332255321377175480156663641307234291116028301262166145381580352166464244659833887340097252974864032921760709036476679838147903750144.56.a', 'Character': [[21], [-3], [1], [6], [0], [1], [-1], [1], [-2], [0], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.2043262332255321377175480156663641307234291116028301262166145381580352166464244659833887340097252974864032921760709036476679838147903750144.336.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': '21.2043262332255321377175480156663641307234291116028301262166145381580352166464244659833887340097252974864032921760709036476679838147903750144.336.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': '28.6481947568348001993835507727575834374121034307867813165304674787089788084714942339020593572111838956791326929909002334276184735720121022154514905189554340806678758528638359313059938304.56.a', 'Character': [[28], [-4], [4], [1], [1], [0], [0], [-2], [1], [-1], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.82252080147606611649932424220073013389873258541901976780662583122514763238416157485342022391780113931446160397077715046669703033897388339130794142272460415225913262902080655499432286887651946120924804377411000895024834040567955456.70.a', 'Character': [[35], [3], [-5], [5], [2], [-1], [-1], [0], [1], [0], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '45.470293466893970531515200078895074307248841117287711074995621407759830055062762834807627537483766867018661477110861047357910787822091289566566042846152380597206335415933675792866607376048166598132786413473976904413970549638408160019671978104393404871163783335161784034719209095577489436578909821861888.336.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': '45.470293466893970531515200078895074307248841117287711074995621407759830055062762834807627537483766867018661477110861047357910787822091289566566042846152380597206335415933675792866607376048166598132786413473976904413970549638408160019671978104393404871163783335161784034719209095577489436578909821861888.336.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': 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