Artin representation data - 16.13802953972587584221609984.24t2912.a

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• 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], 'Baselabel': '16.13802953972587584221609984.24t2912.a', 'CharacterField': 1, 'Conductor': 13802953972587584221609984, 'Container': '24t2912', 'Dets': ['1.1.1t1.a.a'], 'Dim': 16, 'GalConjSigns': [1], 'Galn': 9, 'GaloisConjugates': [{'Sign': 1, 'Character': [[16], [0], [0], [0], [0], [0], [-8], [-2], [4], [-2], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [1], [0]], 'GalOrbIndex': 1, 'HardFactors': [23, 24, 2], 'LocalFactors': [[[1], [-16], [120], [-560], [1820], [-4368], [8008], [-11440], [12870], [-11440], [8008], [-4368], [1820], [-560], [120], [-16], [1]], [[1], [0], [-8], [0], [28], [0], [-56], [0], [70], [0], [-56], [0], [28], [0], [-8], [0], [1]], [[1], [0], [-8], [0], [28], [0], [-56], [0], [70], [0], [-56], [0], [28], [0], [-8], [0], [1]], [[1], [0], [-8], [0], [28], [0], [-56], [0], [70], [0], [-56], [0], [28], [0], [-8], [0], [1]], [[1], [0], [-8], [0], [28], [0], [-56], [0], [70], [0], [-56], [0], [28], [0], [-8], [0], [1]], [[1], [0], [-8], [0], [28], [0], [-56], [0], [70], [0], [-56], [0], [28], [0], [-8], [0], [1]], [[1], [8], [36], [112], [266], [504], [784], [1016], [1107], [1016], [784], [504], [266], [112], [36], [8], [1]], [[1], [2], [3], [-2], [-7], [-12], [-2], [8], [18], [8], [-2], [-12], [-7], [-2], [3], [2], [1]], [[1], [-4], [6], [-8], [17], [-24], [22], [-28], [36], [-28], [22], [-24], [17], [-8], [6], [-4], [1]], [[1], [2], [3], [-2], [-7], [-12], [-2], [8], [18], [8], [-2], [-12], [-7], [-2], [3], [2], [1]], [[1], [0], [0], [0], [-4], [0], [0], [0], [6], [0], [0], [0], [-4], [0], [0], [0], [1]], [[1], [0], [0], [0], [-4], [0], [0], [0], [6], [0], [0], [0], [-4], [0], [0], [0], [1]], [[1], [0], [4], [0], [10], [0], [16], [0], [19], [0], [16], [0], [10], [0], [4], [0], [1]], [[1], [0], [-2], [0], [1], [0], [-2], [0], [4], [0], [-2], [0], [1], [0], [-2], [0], [1]], [[1], [0], [4], [0], [10], [0], [16], [0], [19], [0], [16], [0], [10], [0], [4], [0], [1]], [[1], [0], [-2], [0], [1], [0], [-2], [0], [4], [0], [-2], [0], [1], [0], [-2], [0], [1]], [[1], [0], [4], [0], [10], [0], [16], [0], [19], [0], [16], [0], [10], [0], [4], [0], [1]], [[1], [0], [1], [0], [1], [0], [-2], [0], [-2], [0], [-2], [0], [1], [0], [1], [0], [1]], [[1], [0], [-2], [0], [1], [0], [-2], [0], [4], [0], [-2], [0], [1], [0], [-2], [0], [1]], [[1], [0], [1], [0], [1], [0], [-2], [0], [-2], [0], [-2], [0], [1], [0], [1], [0], [1]], [[1], [-1], [0], [1], [-1], [0], [1], [-1], [0], [-1], [1], [0], [-1], [1], [0], [-1], [1]], [[1], [0], [0], [0], [2], [0], [0], [0], [3], [0], [0], [0], [2], [0], [0], [0], [1]], [[1]], [[1], [0], [1], [0], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '9T31', 'Galt': 31, 'HardPrimes': [2, 11, 29], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [4, -4, 2, -1, -4, 3, -2, 3, 0, 1], 'NumBadPrimes': 2, 'Proj_GAP': [1296, 3490], 'Proj_Polynomial': [4, -4, 2, -1, -4, 3, -2, 3, 0, 1], 'Proj_nTj': [9, 31]}
• 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], [1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.11.2t1.a', 'Character': [[1], [1], [-1], [1], [1], [-1], [1], [1], [1], [1], [-1], [-1], [-1], [-1], [1], [1], [1], [-1], [-1], [1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.8.2t1.b', 'Character': [[1], [-1], [1], [-1], [1], [-1], [1], [1], [1], [1], [-1], [1], [1], [1], [-1], [-1], [1], [1], [-1], [-1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.88.2t1.a', 'Character': [[1], [-1], [-1], [-1], [1], [1], [1], [1], [1], [1], [1], [-1], [-1], [-1], [-1], [-1], [1], [-1], [1], [-1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.704.6t3.b', 'Character': [[2], [-2], [0], [-2], [2], [0], [2], [2], [2], [-1], [0], [0], [0], [0], [-2], [-2], [2], [0], [0], [1], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.44.3t2.b', 'Character': [[2], [2], [0], [2], [2], [0], [2], [2], [2], [-1], [0], [0], [0], [0], [2], [2], [2], [0], [0], [-1], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.2816.4t5.c', 'Character': [[3], [-1], [1], [3], [-1], [1], [3], [3], [3], [0], [-1], [-1], [1], [1], [-1], [-1], [-1], [1], [1], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.5632.6t11.a', 'Character': [[3], [1], [-1], [-3], [-1], [1], [3], [3], [3], [0], [-1], [1], [-1], [-1], [1], [1], [-1], [-1], [1], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.30976.6t8.g', 'Character': [[3], [-1], [-1], [3], [-1], [-1], [3], [3], [3], [0], [1], [1], [-1], [-1], [-1], [-1], [-1], [-1], [-1], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.61952.6t11.a', 'Character': [[3], [1], [1], [-3], [-1], [-1], [3], [3], [3], [0], [1], [-1], [1], [1], [1], [1], [-1], [1], [-1], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.29984768.9t31.a', 'Character': [[6], [4], [2], [0], [2], [0], [3], [-3], [0], [0], [2], [0], [-1], [2], [1], [-2], [-1], [-1], [0], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.232202043392.18t300.a', 'Character': [[6], [-4], [-2], [0], [2], [0], [3], [-3], [0], [0], [2], [0], [1], [-2], [-1], [2], [-1], [1], [0], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.3628156928.18t319.a', 'Character': [[6], [4], [-2], [0], [2], [0], [3], [-3], [0], [0], [-2], [0], [1], [-2], [1], [-2], [-1], [1], [0], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.1919025152.18t311.a', 'Character': [[6], [-4], [2], [0], [2], [0], [3], [-3], [0], [0], [-2], [0], [-1], [2], [-1], [2], [-1], [-1], [0], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '8.1857616347136.24t2893.a', 'Character': [[8], [0], [-4], [0], [0], [0], [-4], [-1], [2], [2], [0], [0], [2], [2], [0], [0], [0], [-1], [0], [0], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '8.1857616347136.12t213.a', 'Character': [[8], [0], [4], [0], [0], [0], [-4], [-1], [2], [2], [0], [0], [-2], [-2], [0], [0], [0], [1], [0], [0], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.4901617177765477351424.36t2217.a', 'Character': [[12], [-4], [-2], [0], [0], [2], [0], [3], [-3], [0], [0], [0], [-2], [1], [2], [-1], [0], [1], [-1], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.4901617177765477351424.36t2214.a', 'Character': [[12], [-4], [2], [0], [0], [-2], [0], [3], [-3], [0], [0], [0], [2], [-1], [2], [-1], [0], [-1], [1], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.445601561615043395584.36t2210.a', 'Character': [[12], [0], [0], [0], [-4], [0], [6], [-6], [0], [0], [0], [0], [0], [0], [0], [0], [2], [0], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.76587768402585583616.36t2216.a', 'Character': [[12], [4], [-2], [0], [0], [-2], [0], [3], [-3], [0], [0], [0], [-2], [1], [-2], [1], [0], [1], [1], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.76587768402585583616.18t315.a', 'Character': [[12], [4], [2], [0], [0], [2], [0], [3], [-3], [0], [0], [0], [2], [-1], [-2], [1], [0], [-1], [-1], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '16.13802953972587584221609984.24t2912.a', 'Character': [[16], [0], [0], [0], [0], [0], [-8], [-2], [4], [-2], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [1], [0]], 'CharacterField': 1}], 'ComplexConjugation': 6, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8, 9]}, {'Size': '9', 'Order': 2, 'Representative': [6, 2, 3, 4, 5, 1, 7, 8, 9]}, {'Size': '18', 'Order': 2, 'Representative': [3, 2, 1, 4, 6, 5, 9, 8, 7]}, {'Size': '27', 'Order': 2, 'Representative': [6, 4, 5, 2, 3, 1, 7, 8, 9]}, {'Size': '27', 'Order': 2, 'Representative': [6, 2, 5, 4, 3, 1, 7, 8, 9]}, {'Size': '54', 'Order': 2, 'Representative': [6, 3, 2, 5, 4, 1, 8, 7, 9]}, {'Size': '6', 'Order': 3, 'Representative': [1, 4, 3, 8, 5, 6, 7, 2, 9]}, {'Size': '8', 'Order': 3, 'Representative': [6, 4, 5, 8, 7, 9, 3, 2, 1]}, {'Size': '12', 'Order': 3, 'Representative': [6, 4, 3, 8, 5, 9, 7, 2, 1]}, {'Size': '72', 'Order': 3, 'Representative': [3, 1, 2, 6, 4, 5, 8, 9, 7]}, {'Size': '54', 'Order': 4, 'Representative': [5, 2, 1, 4, 6, 3, 9, 8, 7]}, {'Size': '162', 'Order': 4, 'Representative': [4, 1, 3, 6, 7, 2, 5, 9, 8]}, {'Size': '36', 'Order': 6, 'Representative': [3, 4, 1, 8, 6, 5, 9, 2, 7]}, {'Size': '36', 'Order': 6, 'Representative': [2, 6, 3, 9, 5, 4, 7, 1, 8]}, {'Size': '36', 'Order': 6, 'Representative': [6, 4, 3, 8, 5, 1, 7, 2, 9]}, {'Size': '36', 'Order': 6, 'Representative': [6, 4, 5, 8, 7, 1, 3, 2, 9]}, {'Size': '54', 'Order': 6, 'Representative': [6, 8, 5, 2, 3, 1, 7, 4, 9]}, {'Size': '72', 'Order': 6, 'Representative': [3, 4, 6, 8, 9, 5, 1, 2, 7]}, {'Size': '108', 'Order': 6, 'Representative': [6, 5, 2, 7, 4, 1, 8, 3, 9]}, {'Size': '216', 'Order': 6, 'Representative': [5, 1, 2, 6, 4, 3, 8, 9, 7]}, {'Size': '144', 'Order': 9, 'Representative': [3, 6, 2, 9, 4, 5, 8, 1, 7]}, {'Size': '108', 'Order': 12, 'Representative': [5, 4, 1, 8, 6, 3, 9, 2, 7]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 2]}, {'Data': 0, 'Classes': 7, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 3]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 2, 2]}, {'Data': 0, 'Classes': 15, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 2, 3]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['257247657216', '57642773760', '-44109367104', '-8225351552', '2649739312', '1082520208', '-297183788', '-100746976', '51392264', '145024', '-4578772', '999856', '129860', '-124096', '34576', '-5640', '584', '-36', '1'], 'ConjugacyClass': 3}, {'RootOf': ['206453034054693504152', '-128562554810163740500', '36593423113554012800', '14851349937924742844', '-7947182102419131360', '1946843314042341024', '-214841307991439464', '10752334793948516', '12121346846819624', '-5596205888756592', '752296899167512', '69970901558144', '-31036012149786', '-154084534657', '737138467468', '10751772877', '-26384780798', '2583873183', '438890992', '-66388549', '2820746', '682181', '-54124', '903', '1262', '-15', '0', '1'], 'ConjugacyClass': 4}], 'Algorithm': 'RES', 'CycleType': [1, 1, 1, 2, 2, 2]}, {'Data': 0, 'Classes': 11, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 2, 4]}, {'Data': 0, 'Classes': 9, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 3, 3]}, {'Data': 0, 'Classes': 14, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 6]}, {'Data': 0, 'Classes': 17, 'Algorithm': 'CYC', 'CycleType': [1, 1, 2, 2, 3]}, {'Data': 0, 'Classes': 6, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2, 2, 2]}, {'Data': 0, 'Classes': 12, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2, 4]}, {'Data': 0, 'Classes': 16, 'Algorithm': 'CYC', 'CycleType': [1, 2, 3, 3]}, {'Data': 0, 'Classes': 19, 'Algorithm': 'CYC', 'CycleType': [1, 2, 6]}, {'Data': 0, 'Classes': 13, 'Algorithm': 'CYC', 'CycleType': [2, 2, 2, 3]}, {'Data': 0, 'Classes': 22, 'Algorithm': 'CYC', 'CycleType': [2, 3, 4]}, {'Data': {'Powers': [1, 2], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['1296', '864', '216', '24', '1'], 'ConjugacyClass': 8}, {'RootOf': ['-5600103332649592280842240', '8040756552901527520935936', '4246560090839294835785728', '-7331414088204212184645632', '-2008312957648801715003136', '2718925434523725023387648', '368439483184332645150208', '-350317510744846788487168', '-22977740289194082910848', '34115107863827110416384', '3288216730079833585792', '-2143783058879802295296', '-248678621588677903216', '120124397643083536384', '15200259965952604224', '-4604960893754550912', '-661501944303491104', '79028812885844096', '18205297136724192', '69836753937280', '-851150530989968', '-106712142329408', '29858201314656', '3189888144256', '-508596698984', '-197309376', '2951886960', '-1206279008', '-143483736', '-2381280', '249480', '-130240', '11440', '880', '88', '0', '1'], 'ConjugacyClass': 10}], 'Algorithm': 'RES', 'CycleType': [3, 3, 3]}, {'Data': {'Powers': [1, 5], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['66176357143120636870656', '-29656937010383838904320', '-19371373330822452707328', '9317077370405295980544', '2360650569588906946560', '-1588058324496390438912', '-194200971502236520448', '225183480037890863104', '30256486217076582144', '-25512845126070438400', '-5618508587147434880', '2048999078243308928', '726178164760586384', '-110157774835986944', '-68768768062812224', '5160275622654592', '6827806173173920', '55713770154240', '-797067039397024', '-187687624822016', '30444572374480', '24431178553408', '4045070648960', '-732310947456', '-482874173768', '-84828028224', '7845857360', '8548513952', '2665831960', '542311616', '81389000', '9325184', '816288', '53328', '2464', '72', '1'], 'ConjugacyClass': 18}, {'RootOf': ['1327010188984908314207361789012992880517733328144280874018728136379474871582720', '-3005593047773764715563615177438762570476407364736003813164241491879848723873792', '-6243781138411653646380612887387687453004626847677537472800423778432937845850112', '-7000647939314560435722344184319538056204150413275475639867480717834106634764288', '-6457398965423149661842173142293638136507121960038245012844419973978626105278464', '-5022729188998139907076697981762984201540993391167383563337805980309069588594688', '-3649178858318650239392966096623404311121972411650751494198411252237770887790592', '-2437835159703433294981246387244859232622718937310058366587034330937231220408320', '-1502634137113931863693664882512340258464088852943833132668645566578545460772864', '-866943894074073419575857804049888277504143952474975262354804509961335886315520', 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