Artin representation data - 45.19350463825787700315954620502346486560280523716048009935263655440924275403789091798759746339301524282352822294601381563039736063552884936582072550042536843069638932866035206787720940126875866242073448183926231215778935980741368635113714328452385901298945939775530100939633850330786771790371172209067109959737860542258006525144364047308685312.336.a

Formats: - HTML - YAML - JSON - 2024-04-20T00:29:11.839826

• 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': '45.19350463825787700315954620502346486560280523716048009935263655440924275403789091798759746339301524282352822294601381563039736063552884936582072550042536843069638932866035206787720940126875866242073448183926231215778935980741368635113714328452385901298945939775530100939633850330786771790371172209067109959737860542258006525144364047308685312.336.a', 'CharacterField': 7, 'Conductor': 19350463825787700315954620502346486560280523716048009935263655440924275403789091798759746339301524282352822294601381563039736063552884936582072550042536843069638932866035206787720940126875866242073448183926231215778935980741368635113714328452385901298945939775530100939633850330786771790371172209067109959737860542258006525144364047308685312, 'Container': '336', 'Dets': ['1.1.1t1.a.a', '1.1.1t1.a.a'], 'Dim': 45, 'GalConjSigns': [0, 0], 'Galn': 8, 'GaloisConjugates': [{'Sign': 0, 'Character': [[45], [-3], [-3], [0], [0], [1], [1], [0], [0], [0], [0, 1, 1, 0, 1], [-1, -1, -1, 0, -1], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [15, 4, 16, 17, 16, 16], 'LocalFactors': [[[1], [-45], [990], [-14190], [148995], [-1221759], [8145060], [-45379620], [215553195], [-886163135], [3190187286], [-10150595910], [28760021745], [-73006209045], [166871334960], [-344867425584], [646626422970], [-1103068603890], [1715884494940], [-2438362177020], [3169870830126], [-3773655750150], [4116715363800], [-4116715363800], [3773655750150], [-3169870830126], [2438362177020], [-1715884494940], [1103068603890], [-646626422970], [344867425584], [-166871334960], [73006209045], [-28760021745], [10150595910], [-3190187286], [886163135], [-215553195], [45379620], [-8145060], [1221759], [-148995], [14190], [-990], [45], [-1]], [[1], [3], [-18], [-62], [147], [609], [-700], [-3780], [1995], [16625], [-2394], [-55062], [-6783], [142443], [46512], [-294576], [-145350], [494190], [316540], [-678300], [-529074], [764218], [705432], [-705432], [-764218], [529074], [678300], [-316540], [-494190], [145350], [294576], [-46512], [-142443], [6783], [55062], [2394], [-16625], [-1995], [3780], [700], [-609], [-147], [62], [18], [-3], [-1]], [[1], [3], [-18], [-62], [147], [609], [-700], [-3780], [1995], [16625], [-2394], [-55062], [-6783], [142443], [46512], [-294576], [-145350], [494190], [316540], [-678300], [-529074], [764218], [705432], [-705432], [-764218], [529074], [678300], [-316540], [-494190], [145350], [294576], [-46512], [-142443], [6783], [55062], [2394], [-16625], [-1995], [3780], [700], [-609], [-147], [62], [18], [-3], [-1]], [[1], [0], [0], [-15], [0], [0], [105], [0], [0], [-455], [0], [0], [1365], [0], [0], [-3003], [0], [0], [5005], [0], [0], [-6435], [0], [0], [6435], [0], [0], [-5005], [0], [0], [3003], [0], [0], [-1365], [0], [0], [455], [0], [0], [-105], [0], [0], [15], [0], [0], [-1]], [[1], [0], [0], [-15], [0], [0], [105], [0], [0], [-455], [0], [0], [1365], [0], [0], [-3003], [0], [0], [5005], [0], [0], [-6435], [0], [0], [6435], [0], [0], [-5005], [0], [0], [3003], [0], [0], [-1365], [0], [0], [455], [0], [0], [-105], [0], [0], [15], [0], [0], [-1]], [[1], [-1], [2], [-2], [-9], [9], [-20], [20], [35], [-35], [90], [-90], [-75], [75], [-240], [240], [90], [-90], [420], [-420], [-42], [42], [-504], [504], [-42], [42], [420], [-420], [90], [-90], [-240], [240], [-75], [75], [90], [-90], [35], [-35], [-20], [20], [-9], [9], [2], [-2], [1], [-1]], [[1], [-1], [2], [-2], [-9], [9], [-20], [20], [35], [-35], [90], [-90], [-75], [75], [-240], [240], [90], [-90], [420], [-420], [-42], [42], [-504], [504], [-42], [42], [420], [-420], [90], [-90], [-240], [240], [-75], [75], [90], [-90], [35], [-35], [-20], [20], [-9], [9], [2], [-2], [1], [-1]], [[1], [0], [0], [0], [0], [-9], [0], [0], [0], [0], [36], [0], [0], [0], [0], [-84], [0], [0], [0], [0], [126], [0], [0], [0], [0], [-126], [0], [0], [0], [0], [84], [0], [0], [0], [0], [-36], [0], [0], [0], [0], [9], [0], [0], [0], [0], [-1]], [[1], [0], [0], [1], [0], [0], [-7], [0], [0], [-7], [0], [0], [21], [0], [0], [21], [0], [0], [-35], [0], [0], [-35], [0], [0], [35], [0], [0], [35], [0], [0], [-21], [0], [0], [-21], [0], [0], [7], [0], [0], [7], [0], [0], [-1], [0], [0], [-1]], [[1], [0], [0], [1], [0], [0], [-7], [0], [0], [-7], [0], [0], [21], [0], [0], [21], [0], [0], [-35], [0], [0], [-35], [0], [0], [35], [0], [0], [35], [0], [0], [-21], [0], [0], [-21], [0], [0], [7], [0], [0], [7], [0], [0], [-1], [0], [0], [-1]], [[1], [0, -1, -1, 0, -1], [-1, -1, -1, 0, -1], [-1], [0], [0], [0], [-6], [0, 6, 6, 0, 6], [6, 6, 6, 0, 6], [6], [0], [0], [0], [15], [0, -15, -15, 0, -15], [-15, -15, -15, 0, -15], [-15], [0], [0], [0], [-20], [0, 20, 20, 0, 20], [20, 20, 20, 0, 20], [20], [0], [0], [0], [15], [0, -15, -15, 0, -15], [-15, -15, -15, 0, -15], [-15], [0], [0], [0], [-6], [0, 6, 6, 0, 6], [6, 6, 6, 0, 6], [6], [0], [0], [0], [1], [0, -1, -1, 0, -1], [-1, -1, -1, 0, -1], [-1]], [[1], [1, 1, 1, 0, 1], [0, 1, 1, 0, 1], [-1], [0], [0], [0], [-6], [-6, -6, -6, 0, -6], [0, -6, -6, 0, -6], [6], [0], [0], [0], [15], [15, 15, 15, 0, 15], [0, 15, 15, 0, 15], [-15], [0], [0], [0], [-20], [-20, -20, -20, 0, -20], [0, -20, -20, 0, -20], [20], [0], [0], [0], [15], [15, 15, 15, 0, 15], [0, 15, 15, 0, 15], [-15], [0], [0], [0], [-6], [-6, -6, -6, 0, -6], [0, -6, -6, 0, -6], [6], [0], [0], [0], [1], [1, 1, 1, 0, 1], [0, 1, 1, 0, 1], [-1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-3], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [3], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-3], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [3], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [-2], [0], [1]], [[1], [0], [0], [-2], [0], [0], [1]], [[1], [-6], [15], [-20], [15], [-6], [1]]]}, {'Sign': 0, 'Character': [[45], [-3], [-3], [0], [0], [1], [1], [0], [0], [0], [-1, -1, -1, 0, -1], [0, 1, 1, 0, 1], [0], [0]], 'GalOrbIndex': 2, 'HardFactors': [15, 4, 16, 17, 16, 16], 'LocalFactors': [[[1], [-45], [990], [-14190], [148995], [-1221759], [8145060], [-45379620], [215553195], [-886163135], [3190187286], [-10150595910], [28760021745], [-73006209045], [166871334960], [-344867425584], [646626422970], [-1103068603890], [1715884494940], [-2438362177020], [3169870830126], [-3773655750150], [4116715363800], [-4116715363800], [3773655750150], [-3169870830126], [2438362177020], [-1715884494940], [1103068603890], [-646626422970], [344867425584], [-166871334960], [73006209045], [-28760021745], [10150595910], [-3190187286], [886163135], [-215553195], [45379620], [-8145060], [1221759], [-148995], [14190], [-990], [45], [-1]], [[1], [3], [-18], [-62], [147], [609], [-700], [-3780], [1995], [16625], [-2394], [-55062], [-6783], [142443], [46512], [-294576], [-145350], [494190], [316540], [-678300], [-529074], [764218], [705432], [-705432], [-764218], [529074], [678300], [-316540], [-494190], [145350], [294576], [-46512], [-142443], [6783], [55062], [2394], [-16625], [-1995], [3780], [700], [-609], [-147], [62], [18], [-3], [-1]], [[1], [3], [-18], [-62], [147], [609], [-700], [-3780], [1995], [16625], [-2394], [-55062], [-6783], [142443], [46512], [-294576], [-145350], [494190], [316540], [-678300], [-529074], [764218], [705432], [-705432], [-764218], [529074], [678300], [-316540], [-494190], [145350], [294576], [-46512], [-142443], [6783], [55062], [2394], [-16625], [-1995], [3780], [700], [-609], [-147], [62], [18], [-3], [-1]], [[1], [0], [0], [-15], [0], [0], [105], [0], [0], [-455], [0], [0], [1365], [0], [0], [-3003], [0], [0], [5005], [0], [0], [-6435], [0], [0], [6435], [0], [0], [-5005], [0], [0], [3003], [0], [0], [-1365], [0], [0], [455], [0], [0], [-105], [0], [0], [15], [0], [0], [-1]], [[1], [0], [0], [-15], [0], [0], [105], [0], [0], [-455], [0], [0], [1365], [0], [0], [-3003], [0], [0], [5005], [0], [0], [-6435], [0], [0], [6435], [0], [0], [-5005], [0], [0], [3003], [0], [0], [-1365], [0], [0], [455], [0], [0], [-105], [0], [0], [15], [0], [0], [-1]], [[1], [-1], [2], [-2], [-9], [9], [-20], [20], [35], [-35], [90], [-90], [-75], [75], [-240], [240], [90], [-90], [420], [-420], [-42], [42], [-504], [504], [-42], [42], [420], [-420], [90], [-90], [-240], [240], [-75], [75], [90], [-90], [35], [-35], [-20], [20], [-9], [9], [2], [-2], [1], [-1]], [[1], [-1], [2], [-2], [-9], [9], [-20], [20], [35], [-35], [90], [-90], [-75], [75], [-240], [240], [90], [-90], [420], [-420], [-42], [42], [-504], [504], [-42], [42], [420], [-420], [90], [-90], [-240], [240], [-75], [75], [90], [-90], [35], [-35], [-20], [20], [-9], [9], [2], [-2], [1], [-1]], [[1], [0], [0], [0], [0], [-9], [0], [0], [0], [0], [36], [0], [0], [0], [0], [-84], [0], [0], [0], [0], [126], [0], [0], [0], [0], [-126], [0], [0], [0], [0], [84], [0], [0], [0], [0], [-36], [0], [0], [0], [0], [9], [0], [0], [0], [0], [-1]], [[1], [0], [0], [1], [0], [0], [-7], [0], [0], [-7], [0], [0], [21], [0], [0], [21], [0], [0], [-35], [0], [0], [-35], [0], [0], [35], [0], [0], [35], [0], [0], [-21], [0], [0], [-21], [0], [0], [7], [0], [0], [7], [0], [0], [-1], [0], [0], [-1]], [[1], [0], [0], [1], [0], [0], [-7], [0], [0], [-7], [0], [0], [21], [0], [0], [21], [0], [0], [-35], [0], [0], [-35], [0], [0], [35], [0], [0], [35], [0], [0], [-21], [0], [0], [-21], [0], [0], [7], [0], [0], [7], [0], [0], [-1], [0], [0], [-1]], [[1], [1, 1, 1, 0, 1], [0, 1, 1, 0, 1], [-1], [0], [0], [0], [-6], [-6, -6, -6, 0, -6], [0, -6, -6, 0, -6], [6], [0], [0], [0], [15], [15, 15, 15, 0, 15], [0, 15, 15, 0, 15], [-15], [0], [0], [0], [-20], [-20, -20, -20, 0, -20], [0, -20, -20, 0, -20], [20], [0], [0], [0], [15], [15, 15, 15, 0, 15], [0, 15, 15, 0, 15], [-15], [0], [0], [0], [-6], [-6, -6, -6, 0, -6], [0, -6, -6, 0, -6], [6], [0], [0], [0], [1], [1, 1, 1, 0, 1], [0, 1, 1, 0, 1], [-1]], [[1], [0, -1, -1, 0, -1], [-1, -1, -1, 0, -1], [-1], [0], [0], [0], [-6], [0, 6, 6, 0, 6], [6, 6, 6, 0, 6], [6], [0], [0], [0], [15], [0, -15, -15, 0, -15], [-15, -15, -15, 0, -15], [-15], [0], [0], [0], [-20], [0, 20, 20, 0, 20], [20, 20, 20, 0, 20], [20], [0], [0], [0], [15], [0, -15, -15, 0, -15], [-15, -15, -15, 0, -15], [-15], [0], [0], [0], [-6], [0, 6, 6, 0, 6], [6, 6, 6, 0, 6], [6], [0], [0], [0], [1], [0, -1, -1, 0, -1], [-1, -1, -1, 0, -1], [-1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-3], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [3], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-3], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [3], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [-1]], [[1], [0], [-2], [0], [1]], [[1], [0], [0], [-2], [0], [0], [1]], [[1], [-6], [15], [-20], [15], [-6], [1]]]}], 'GaloisConjugatesSigns': [0, 0], 'GaloisLabel': '8T49', 'Galt': 49, 'HardPrimes': [2, 5, 23, 43, 137, 389], 'Hide': 0, 'Indicator': 0, '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': 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