Artin representation data - 70.31083364801806722063904543616016765350021345494820936630321439822910355948349135283209724303574953872538929427033931934457007887970663794045673729504376178685207251005118230466357977473598729868062615308464206927108034825455386818476623011745818675689159848122713409255659818520230641678709850801112464775266878787835018446126823769422954496.120.a

Formats: - HTML - YAML - JSON - 2024-04-25T17:52:19.424058

• 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, 51473], 'Baselabel': '70.31083364801806722063904543616016765350021345494820936630321439822910355948349135283209724303574953872538929427033931934457007887970663794045673729504376178685207251005118230466357977473598729868062615308464206927108034825455386818476623011745818675689159848122713409255659818520230641678709850801112464775266878787835018446126823769422954496.120.a', 'CharacterField': 1, 'Conductor': 31083364801806722063904543616016765350021345494820936630321439822910355948349135283209724303574953872538929427033931934457007887970663794045673729504376178685207251005118230466357977473598729868062615308464206927108034825455386818476623011745818675689159848122713409255659818520230641678709850801112464775266878787835018446126823769422954496, '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], [347993910], [4407922860], [-129644790], [-4667212440], [-129644790], [4407922860], [347993910], [-3711935040], [-463991880], [2783951280], [463991880], [-1855967520], [-379629720], [1096708080], [262256280], [-572195520], [-154969620], [262256280], [78676884], [-104902512], [-34295052], [36312408], [12776588], [-10759232], [-4034712], [2689808], [1066648], [-556512], [-231880], [92752], [40392], [-11968], [-5423], [1122], [527], [-68], [-33], [2], [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], [347993910], [-4407922860], [-129644790], [4667212440], [-129644790], [-4407922860], [347993910], [3711935040], [-463991880], [-2783951280], [463991880], [1855967520], [-379629720], [-1096708080], [262256280], [572195520], [-154969620], [-262256280], [78676884], [104902512], [-34295052], [-36312408], [12776588], [10759232], [-4034712], [-2689808], [1066648], [556512], [-231880], [-92752], [40392], [11968], [-5423], [-1122], [527], [68], [-33], [-2], [1]], [[1], [5], [15], [10], [-55], [-249], [-365], [80], [1845], [3665], [2251], [-7710], [-20905], [-21395], [17385], [79496], [106495], [-2565], [-214035], [-359670], [-136629], [411825], [896325], [581400], [-532950], [-1711254], [-1482570], [316540], [2542010], [2742270], [427006], [-2932840], [-3905070], [-1553630], [2561390], [4383756], [2561390], [-1553630], [-3905070], [-2932840], [427006], [2742270], [2542010], [316540], [-1482570], [-1711254], [-532950], [581400], [896325], [411825], [-136629], [-359670], [-214035], [-2565], [106495], [79496], [17385], [-21395], [-20905], [-7710], [2251], [3665], [1845], [80], [-365], [-249], [-55], [10], [15], [5], [1]], [[1], [-1], [0], [-23], [23], [0], [253], [-253], [0], [-1771], [1771], [0], [8855], [-8855], [0], [-33649], [33649], [0], [100947], [-100947], [0], [-245157], [245157], [0], [490314], [-490314], [0], [-817190], [817190], [0], [1144066], [-1144066], [0], [-1352078], [1352078], [0], [1352078], [-1352078], [0], [-1144066], [1144066], [0], [817190], [-817190], [0], [-490314], [490314], [0], [245157], [-245157], [0], [-100947], [100947], [0], [33649], [-33649], [0], [-8855], [8855], [0], [1771], [-1771], [0], [-253], [253], [0], [23], [-23], [0], [-1], [1]], [[1], [2], [3], [4], [-13], [-30], [-47], [-64], [72], [208], [344], [480], [-200], [-880], [-1560], [-2240], [140], [2520], [4900], [7280], [1092], [-5096], [-11284], [-17472], [-5096], [7280], [19656], [32032], [12584], [-6864], [-26312], [-45760], [-21450], [2860], [27170], [51480], [27170], [2860], [-21450], [-45760], [-26312], [-6864], [12584], [32032], [19656], [7280], [-5096], [-17472], [-11284], [-5096], [1092], [7280], [4900], [2520], [140], [-2240], [-1560], [-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], [-27], [-19], [-49], [-30], [-5], [25], [105], [80], [215], [135], [105], [-30], [-225], [-195], [-555], [-360], [-390], [-30], [270], [300], [930], [630], [798], [168], [-126], [-294], [-1050], [-756], [-1050], [-294], [-126], [168], [798], [630], [930], [300], [270], [-30], [-390], [-360], [-555], [-195], [-225], [-30], [105], [135], [215], [80], [105], [25], [-5], [-30], [-49], [-19], [-27], [-8], [-5], [3], [5], [2], [3], [1], [1]], [[1], [-1], [0], [1], [-1], [0], [-11], [11], [0], [-11], [11], [0], [55], [-55], [0], [55], [-55], [0], [-165], [165], [0], [-165], [165], [0], [330], [-330], [0], [330], [-330], [0], [-462], [462], [0], [-462], [462], [0], [462], [-462], [0], [462], [-462], [0], [-330], [330], [0], [-330], [330], [0], [165], [-165], [0], [165], [-165], [0], [-55], [55], [0], [-55], [55], [0], [11], [-11], [0], [11], [-11], [0], [-1], [1], [0], [-1], [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], [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], [-1]], [[1], [-1], [0], [-3], [3], [0], [3], [-3], [0], [-1], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T49', 'Galt': 49, 'HardPrimes': [2, 5, 51473], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [823561, -48, -140, -224, -210, -112, -28, 0, 1], 'NumBadPrimes': 2, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [823561, -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': '7.19501894337558159417628591379185664.8t49.a', 'Character': [[7], [-1], [3], [4], [1], [-1], [1], [2], [0], [-1], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.23213127609453308199517824115572712960891092250243060987586412544.15t72.a', 'Character': [[14], [6], [2], [-1], [2], [2], [0], [-1], [-1], [0], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.452699961883812444629922954342652783354913555725561638109697368044673422133597699465895101874569216.28t433.a', 'Character': [[20], [4], [4], [5], [-1], [0], [0], [0], [1], [1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.7417036175504383092816657683950023202486903697007601878789281678043929348236864708049225349112942034944.56.a', 'Character': [[21], [-3], [1], [6], [0], [1], [-1], [1], [-2], [0], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.7417036175504383092816657683950023202486903697007601878789281678043929348236864708049225349112942034944.336.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': '21.7417036175504383092816657683950023202486903697007601878789281678043929348236864708049225349112942034944.336.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': '28.144646255792532955348729443012953958617706820363443281227734296614784628247346758905586025301514293176826295116743048703358220417751842816.56.a', 'Character': [[28], [-4], [4], [1], [1], [0], [0], [-2], [1], [-1], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.11019046862458545151158504068644123092001180461192552030255482282257600952156952743671100722446137465023067072498050555947578125272258688143974551276152679152899068002304.70.a', 'Character': [[35], [3], [-5], [5], [2], [-1], [-1], [0], [1], [0], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '45.480152518676513959385675068846116919002589863119884294689862691899459219211621237414679969810934965012808977340953435952932190758389182068397490339474975934692094198166205259053211764014218110456025784833742880311416455168.336.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': '45.480152518676513959385675068846116919002589863119884294689862691899459219211621237414679969810934965012808977340953435952932190758389182068397490339474975934692094198166205259053211764014218110456025784833742880311416455168.336.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': '56.4988322094630926499047363089063308300420229228892928349628113608970321455588467048722074478186449142418990622518033048060636990934778805057103190174470600011193696325922509157734898849789063308037111355225329906127515409810934379155358007537494931285772342609695473664.105.a', 'Character': [[56], [8], [0], [-4], [-1], [0], [0], [1], [0], [-1], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '64.1593863871057086423893901953459012574135757026823861478453995921942073808794371192482605510358015570212244578357921839143489492893543621577715470475722830955866432495512546286239078544420450295273102507998797096019987180330843264817664253897699355610980847112459918253459398061902523050668825691395733848064.168.a', 'Character': [[64], [0], [0], [4], [-2], [0], [0], [-1], [0], [0], [1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '70.31083364801806722063904543616016765350021345494820936630321439822910355948349135283209724303574953872538929427033931934457007887970663794045673729504376178685207251005118230466357977473598729868062615308464206927108034825455386818476623011745818675689159848122713409255659818520230641678709850801112464775266878787835018446126823769422954496.120.a', 'Character': [[70], [-2], [2], [-5], [1], [-2], [0], [0], [-1], [1], [0], [0], [0], [0]], 'CharacterField': 1}], 'ComplexConjugation': 2, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8]}, {'Size': '105', 'Order': 2, 'Representative': [2, 1, 4, 3, 6, 5, 8, 7]}, {'Size': '210', 'Order': 2, 'Representative': [2, 1, 4, 3, 5, 6, 7, 8]}, {'Size': '112', 'Order': 3, 'Representative': [2, 3, 1, 4, 5, 6, 7, 8]}, {'Size': '1120', 'Order': 3, 'Representative': [2, 3, 1, 5, 6, 4, 7, 8]}, {'Size': '1260', 'Order': 4, 'Representative': [2, 3, 4, 1, 6, 7, 8, 5]}, {'Size': '2520', 'Order': 4, 'Representative': [2, 3, 4, 1, 6, 5, 7, 8]}, {'Size': '1344', 'Order': 5, 'Representative': [2, 3, 4, 5, 1, 6, 7, 8]}, {'Size': '1680', 'Order': 6, 'Representative': [2, 3, 1, 5, 4, 7, 6, 8]}, {'Size': '3360', 'Order': 6, 'Representative': [2, 3, 4, 5, 6, 1, 8, 7]}, {'Size': '2880', 'Order': 7, 'Representative': [2, 3, 4, 5, 6, 7, 1, 8]}, {'Size': '2880', 'Order': 7, 'Representative': [3, 1, 4, 5, 6, 7, 2, 8]}, {'Size': '1344', 'Order': 15, 'Representative': [2, 3, 4, 5, 1, 7, 8, 6]}, {'Size': '1344', 'Order': 15, 'Representative': [3, 1, 4, 5, 2, 7, 8, 6]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 4, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 3]}, {'Data': 0, 'Classes': 3, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 2, 2]}, {'Data': 0, 'Classes': 8, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 5]}, {'Data': 0, 'Classes': 7, 'Algorithm': 'CYC', 'CycleType': [1, 1, 2, 4]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [1, 1, 3, 3]}, {'Data': 0, 'Classes': 9, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2, 3]}, {'Data': [1, 3, 4, 5, 6, 7, 8, 2], 'Classes': [{'RootOf': ['-11440061078689923727360', '1'], 'ConjugacyClass': 12}, {'RootOf': ['11440061078689923727360', '1'], 'ConjugacyClass': 11}], 'Algorithm': 'ALT', 'CycleType': [1, 7]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [2, 2, 2, 2]}, {'Data': 0, 'Classes': 10, 'Algorithm': 'CYC', 'CycleType': [2, 6]}, {'Data': [2, 3, 1, 5, 6, 7, 8, 4], 'Classes': [{'RootOf': ['-11440061078689923727360', '1'], 'ConjugacyClass': 14}, {'RootOf': ['11440061078689923727360', '1'], 'ConjugacyClass': 13}], 'Algorithm': 'ALT', 'CycleType': [3, 5]}, {'Data': 0, 'Classes': 6, 'Algorithm': 'CYC', 'CycleType': [4, 4]}], 'Frobs': [5, 14, 5, 6, 8, 6, 12, 10, 12, 7, 8, 10, 13, 12, 11, 12, 7, 11, 11, 13, 3, 8, 11, 10, 10, 7, 14, 10, 9, 10, 10, 13, 10, 11, 2, 5, 12, 12, 9, 12, 10, 9, 10, 7, 14, 13, 10, 10, 14, 14, 10, 12, 6, 14, 6, 12, 7, 12, 7, 9, 12, 6, 7, 11, 7, 10, 9, 11, 6, 10, 12, 12, 13, 11, 6, 7, 7, 10, 8, 7, 10, 9, 7, 9, 7, 9, 9, 9, 13, 9, 5, 10, 10, 9, 10, 10, 12, 8, 8, 11, 10, 9, 13, 10, 8, 10, 7, 5, 10, 12, 6, 12, 7, 11, 6, 10, 10, 5, 7, 5, 8, 11, 10, 8, 5, 11, 11, 10, 9, 10, 13, 10, 10, 14, 8, 9, 8, 13, 10, 7, 11, 14, 7, 10, 10, 10, 12, 9, 12, 6, 12, 12, 9, 10, 7, 7, 7, 11, 11, 10, 11, 13, 7, 6, 11, 8, 13, 10], 'G-Gens': [[2, 1, 4, 5, 6, 7, 8, 3], [2, 3, 1, 4, 5, 6, 7, 8]], 'G-Name': 'A8', 'Polynomial': [823561, -48, -140, -224, -210, -112, -28, 0, 1], 'QpRts': [['-4409188380118012612772591', '0'], ['-8027695333352041011994801', '0'], ['-41589933636915124889864851', '33322654340135777593200684'], ['-55320470691234371613699960', '-33322654340135777593200684'], ['-32039293885799535802683383', '0'], ['31013112033388756470262822', '0'], ['-9121945985237866158213694', '-57629397301948527133363332'], ['-2549598160478393054728951', '57629397301948527133363332']], 'QpRts-minpoly': [5, 70, 1], 'QpRts-p': 73, 'QpRts-prec': 14, 'Size': 20160, 'TransitiveDegree': 8}