Artin representation data - 64.199220322842713258903329093774827024948038187827082960787464067927319238551587384097485366368082133370682798210695564803163841935046901547864060519510544251940195311641156618772821524748015883020782266922088610927004793709002016656535346979954038887848973506556522045795208282461779352888756370398342535013375134967095560303387462031004772790034599806008317970876184557770097635145134580533629011009057717964419000811810972729908178262811828289536.168.a

Formats: - HTML - YAML - JSON - 2024-04-20T06:06:28.269413

• 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, 7, 1075649], 'Baselabel': '64.199220322842713258903329093774827024948038187827082960787464067927319238551587384097485366368082133370682798210695564803163841935046901547864060519510544251940195311641156618772821524748015883020782266922088610927004793709002016656535346979954038887848973506556522045795208282461779352888756370398342535013375134967095560303387462031004772790034599806008317970876184557770097635145134580533629011009057717964419000811810972729908178262811828289536.168.a', 'CharacterField': 1, 'Conductor': 199220322842713258903329093774827024948038187827082960787464067927319238551587384097485366368082133370682798210695564803163841935046901547864060519510544251940195311641156618772821524748015883020782266922088610927004793709002016656535346979954038887848973506556522045795208282461779352888756370398342535013375134967095560303387462031004772790034599806008317970876184557770097635145134580533629011009057717964419000811810972729908178262811828289536, '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, 17], '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], 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[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], [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], [1]], [[1], [-10], [45], [-120], [210], [-252], [210], [-120], [45], [-10], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T49', 'Galt': 49, 'HardPrimes': [2, 7, 1075649], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [210825412, -6144, -8960, -7168, -3360, -896, -112, 0, 1], 'NumBadPrimes': 3, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [210825412, -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': '7.2340710530180884465731804242655471841228462751744.8t49.a', 'Character': [[7], [-1], [3], [4], [1], [-1], [1], [2], [0], [-1], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.21402053851951864247407952669170923691931131459589112875617206696460684680153619181025158496256.15t72.a', 'Character': [[14], [6], [2], [-1], [2], [2], [0], [-1], [-1], [0], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.2454704628119342349906984863951698764074134103411727733928342729381839013000173817448782365676287941825732164058747603209821586103974957192052736.28t433.a', 'Character': [[20], [4], [4], [5], [-1], [0], [0], [0], [1], [1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.40217880627107305060876040010984632550590613150297747192681967278192050388994847825080850279240301638872795775938520730989716866727525698634592026624.56.a', 'Character': [[21], [-3], [1], [6], [0], [1], [-1], [1], [-2], [0], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.40217880627107305060876040010984632550590613150297747192681967278192050388994847825080850279240301638872795775938520730989716866727525698634592026624.336.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': '21.40217880627107305060876040010984632550590613150297747192681967278192050388994847825080850279240301638872795775938520730989716866727525698634592026624.336.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': '28.94138416685427862246014622925469834305747457048575536971997237506433524211071485456139902647814033029392274035575741706058000064917479624035214194906208101447300056181667598361689252733320750432256.56.a', 'Character': [[28], [-4], [4], [1], [1], [0], [0], [-2], [1], [-1], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.881403132920547487686469853205421881194493788788449054034775260646065357957930295252195607521581128329391731288331241464611389616010920384362345369996029407527717345346748583729795328273141014585575195559063922653790486507879672584097132871417856.70.a', 'Character': [[35], [3], [-5], [5], [2], [-1], [-1], [0], [1], [0], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '45.4949282134906359663777278540818614277446664468206152247713507661700677400036529571478239790753505737199367791384758673858977952006855232980518648811613276725532619416642886312116561505576747097433823864498321968109656530160071337191888558126907577686508847951842295181917695776928341019984227568468572773441484731948466176.336.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': '45.4949282134906359663777278540818614277446664468206152247713507661700677400036529571478239790753505737199367791384758673858977952006855232980518648811613276725532619416642886312116561505576747097433823864498321968109656530160071337191888558126907577686508847951842295181917695776928341019984227568468572773441484731948466176.336.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': '56.106015633131328833975377494259755346536267934384456526249835121756748979217775255484231896008057104874249303729627261416882732049625361777340718499278588789318069565227085296252956587119661973550415569187214543062783270869477988784097560571758418591974395351810604977470271210935041521259334265256407303437015024154561082770103165618327759154136225649705711691139826799102309652832844758646784.105.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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