Artin representation data - 64.91636413050859975121458665341386017582088784086073159127972327911246408636632589279486040446199903311360599968064669022020198872202881970938470603518340553409277371830701424826468050741959246993652046784407183173924163261831999506400730390365586851760142299009649332300261123134688640453684130971053983226076644071766999925115522745294558971029846509985034991701339659497164334970278420005334826678706165006761042443158282912017453063874069126237289851455246994478465024.168.a

Formats: - HTML - YAML - JSON - 2024-04-19T23:20:09.174022

• 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, 23, 43, 137, 389], 'Baselabel': '64.91636413050859975121458665341386017582088784086073159127972327911246408636632589279486040446199903311360599968064669022020198872202881970938470603518340553409277371830701424826468050741959246993652046784407183173924163261831999506400730390365586851760142299009649332300261123134688640453684130971053983226076644071766999925115522745294558971029846509985034991701339659497164334970278420005334826678706165006761042443158282912017453063874069126237289851455246994478465024.168.a', 'CharacterField': 1, 'Conductor': 91636413050859975121458665341386017582088784086073159127972327911246408636632589279486040446199903311360599968064669022020198872202881970938470603518340553409277371830701424826468050741959246993652046784407183173924163261831999506400730390365586851760142299009649332300261123134688640453684130971053983226076644071766999925115522745294558971029846509985034991701339659497164334970278420005334826678706165006761042443158282912017453063874069126237289851455246994478465024, '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, 5, 16, 17, 16, 16], 'LocalFactors': [[[1], [-64], [2016], [-41664], [635376], [-7624512], [74974368], [-621216192], [4426165368], [-27540584512], [151473214816], [-743595781824], [3284214703056], [-13136858812224], [47855699958816], [-159518999862720], [488526937079580], 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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], [0], [-4], [0], [6], [0], [-4], [0], [1]], [[1], [2], [3], [0], [-3], [-6], [-3], [0], [3], [2], [1]], [[1], [-10], [45], [-120], [210], [-252], [210], [-120], [45], [-10], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T49', 'Galt': 49, 'HardPrimes': [2, 5, 23, 43, 137, 389], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [210825316, -6144, -8960, -7168, -3360, -896, -112, 0, 1], 'NumBadPrimes': 5, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [210825316, -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': '7.5620030628480917722529796097626934820084447048892416.8t49.a', 'Character': [[7], [-1], [3], [4], [1], [-1], [1], [2], [0], [-1], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.123377907285404761892821098743592771727889367291151936287116189195467821602350122471550305071766962176.15t72.a', 'Character': [[14], [6], [2], [-1], [2], [2], [0], [-1], [-1], [0], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.693387617821853721396891024014236840853858197473658086907647388533794811935272381061697117397308681480287404877774579345748508728138553470616841765257216.28t433.a', 'Character': [[20], [4], [4], [5], [-1], [0], [0], [0], [1], [1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.11360462730393251371366662537449256400549612707408414095894894813737694198747502691314845571437505437373028841517458708000743567001822060062586335481974226944.56.a', 'Character': [[21], [-3], [1], [6], [0], [1], [-1], [1], [-2], [0], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.11360462730393251371366662537449256400549612707408414095894894813737694198747502691314845571437505437373028841517458708000743567001822060062586335481974226944.336.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': '21.11360462730393251371366662537449256400549612707408414095894894813737694198747502691314845571437505437373028841517458708000743567001822060062586335481974226944.336.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': '28.63846148498526027054768997114094626850811810025532761788985781433262989704906772286172038411964991376105678709401329967908886293194052846525548567014624677558525933675354468510436709611179217922984373024456704.56.a', 'Character': [[28], [-4], [4], [1], [1], [0], [0], [-2], [1], [-1], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.1435269240289028916924674779431896646914679379254159363742580216065630252360603681810828997217680317922918319763581409510314851952335138733509698791636285775882286013875079888445984362744337866267057040111181137548708125838606865945998967656150010774413383827456.70.a', 'Character': [[35], [3], [-5], [5], [2], [-1], [-1], [0], [1], [0], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '45.19350463825787700315954620502346486560280523716048009935263655440924275403789091798759746339301524282352822294601381563039736063552884936582072550042536843069638932866035206787720940126875866242073448183926231215778935980741368635113714328452385901298945939775530100939633850330786771790371172209067109959737860542258006525144364047308685312.336.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': '45.19350463825787700315954620502346486560280523716048009935263655440924275403789091798759746339301524282352822294601381563039736063552884936582072550042536843069638932866035206787720940126875866242073448183926231215778935980741368635113714328452385901298945939775530100939633850330786771790371172209067109959737860542258006525144364047308685312.336.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': '56.995197919456991518288518223175875716545696431378239573707505211547960116233483328221874618529199976882576162252437472159692387008405348408037647936173674862794034003478019675256984560088400244176596844805774629909513687189169406892181952449415683331492748882290805235512685841246916358332962578697275355984192376430210300376537578932510163160977827304577303108469691661287770732880779795206359763421927434402922496.105.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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