Artin representation data - 16.18240144948232002937552896.24t1334.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, 3, 23], 'Baselabel': '16.18240144948232002937552896.24t1334.a', 'CharacterField': 1, 'Conductor': 18240144948232002937552896, 'Container': '24t1334', 'Dets': ['1.1.1t1.a.a'], 'Dim': 16, 'GalConjSigns': [1], 'Galn': 9, 'GaloisConjugates': [{'Sign': 1, 'Character': [[16], [0], [0], [-2], [-2], [1], [0], [0], [0], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [12, 13, 14, 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], [2], [3], [-2], [-7], [-12], [-2], [8], [18], [8], [-2], [-12], [-7], [-2], [3], [2], [1]], [[1], [2], [3], [-2], [-7], [-12], [-2], [8], [18], [8], [-2], [-12], [-7], [-2], [3], [2], [1]], [[1], [-1], [0], [-5], [5], [0], [10], [-10], [0], [-10], [10], [0], [5], [-5], [0], [-1], [1]], [[1], [0], [0], [0], [-4], [0], [0], [0], [6], [0], [0], [0], [-4], [0], [0], [0], [1]], [[1], [0], [1], [0], [1], [0], [-2], [0], [-2], [0], [-2], [0], [1], [0], [1], [0], [1]], [[1], [0], [1], [0], [1], [0], [-2], [0], [-2], [0], [-2], [0], [1], [0], [1], [0], [1]], [[1], [0], [0], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [0], [0], [1]], [[1]], [[1], [1], [1], [-2], [-2], [-2], [1], [1], [1]], [[1], [0], [0], [0], [0], [0], [-1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '9T26', 'Galt': 26, 'HardPrimes': [2, 3, 23, 8467], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [103, -239, 168, -88, 34, -10, -4, 4, -1, 1], 'NumBadPrimes': 3, 'Proj_GAP': [432, 734], 'Proj_Polynomial': [103, -239, 168, -88, 34, -10, -4, 4, -1, 1], 'Proj_nTj': [9, 26]}
• 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]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.3.2t1.a', 'Character': [[1], [1], [-1], [1], [1], [1], [1], [-1], [1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.6348.3t2.a', 'Character': [[2], [2], [0], [2], [-1], [-1], [2], [0], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.25392.24t22.a', 'Character': [[2, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [-1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, -1, 0, -1], [0, 1, 0, 1]], 'CharacterField': 8}, {'GalConj': 2, 'Baselabel': '2.25392.24t22.a', 'Character': [[2, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [-1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 1, 0, 1], [0, -1, 0, -1]], 'CharacterField': 8}, {'GalConj': 1, 'Baselabel': '3.25392.4t5.a', 'Character': [[3], [3], [1], [3], [0], [0], [-1], [1], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.76176.6t8.a', 'Character': [[3], [3], [-1], [3], [0], [0], [-1], [-1], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '4.1218816.8t23.a', 'Character': [[4], [-4], [0], [4], [1], [1], [0], [0], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '8.16371585036288.9t26.a', 'Character': [[8], [0], [2], [-1], [2], [-1], [0], [-1], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '8.147344265326592.18t157.a', 'Character': [[8], [0], [-2], [-1], [2], [-1], [0], [1], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '16.18240144948232002937552896.24t1334.a', 'Character': [[16], [0], [0], [-2], [-2], [1], [0], [0], [0], [0], [0]], 'CharacterField': 1}], 'ComplexConjugation': 3, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8, 9]}, {'Size': '9', 'Order': 2, 'Representative': [5, 6, 7, 8, 1, 2, 3, 4, 9]}, {'Size': '36', 'Order': 2, 'Representative': [1, 2, 6, 9, 7, 3, 5, 8, 4]}, {'Size': '8', 'Order': 3, 'Representative': [5, 4, 2, 3, 9, 7, 8, 6, 1]}, {'Size': '24', 'Order': 3, 'Representative': [7, 2, 8, 1, 3, 6, 4, 5, 9]}, {'Size': '48', 'Order': 3, 'Representative': [8, 4, 6, 5, 2, 7, 3, 9, 1]}, {'Size': '54', 'Order': 4, 'Representative': [4, 7, 2, 5, 8, 3, 6, 1, 9]}, {'Size': '72', 'Order': 6, 'Representative': [2, 8, 5, 3, 9, 7, 4, 1, 6]}, {'Size': '72', 'Order': 6, 'Representative': [9, 5, 8, 3, 2, 4, 7, 1, 6]}, {'Size': '54', 'Order': 8, 'Representative': [6, 8, 9, 4, 3, 2, 5, 7, 1]}, {'Size': '54', 'Order': 8, 'Representative': [5, 9, 8, 4, 2, 3, 6, 1, 7]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 3, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 2, 2, 2]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 3, 3]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2, 2, 2]}, {'Data': 0, 'Classes': 9, 'Algorithm': 'CYC', 'CycleType': [1, 2, 6]}, {'Data': 0, 'Classes': 7, 'Algorithm': 'CYC', 'CycleType': [1, 4, 4]}, {'Data': {'Powers': [1, 3], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['59592708777324984087384092009167847424', '1727500987072964356091544089722355712', '-1890998499460877554505440776299741184', '151655529664236035786185055153422336', '5646293865731222452778914791030784', '-593264924943940935438454410444800', '30220649338443616188517335433216', '-627087473895062853937403002880', '-26725733615195967003878752256', '27302113283132673010302976', '139307080115747107407462400', '469712306269530330529792', '-428466597348545535131648', '8876677361502564720640', '437814500297069449216', '-15657543151306962944', '54312409728036864', '-4031034903454720', '198371163951616', '4137033118976', '-208059268224', '3277376704', '-29646272', '-324512', '22936', '-1156', '42', '1'], 'ConjugacyClass': 10}, {'RootOf': ['1270088658234464332521342946703046606848', '-215563832885300469520518300494653816832', '21995323745839648170451000929632124928', '-1064984939406665266312279020625985536', '51398074730734282073010492177121280', '-4297305905927957259906885426872320', '187713511133916237095225855574016', '9816366486242282215876602101760', '-1431572483599853156142403289088', '35479347678192512826182205440', '2442119054972721660326313984', '-198346952711680505860325376', '6089699874343451552382976', '-101004399313308337061888', '138607796561527332864', '76204936671841947648', '-1788618034831876096', '34082412099227648', '-2164007140505088', '8085266170112', '1208535910784', '-1623155392', '108237504', '-13336096', '-71368', '2092', '42', '1'], 'ConjugacyClass': 11}], 'Algorithm': 'RES', 'CycleType': [1, 8]}, {'Data': {'Powers': [1, 2], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['16848', '3712', '200', '8', '1'], 'ConjugacyClass': 4}, {'RootOf': ['388052197113492473061376524288', '47020183255672346304625770496', '-18076797455991671454771970048', '-1007084934108358364145647616', '362917569258523128365056000', '-47210232130427094047653888', '6564932224955788425166848', '-568607779388188522184704', '46100355203492823662592', '-3716793906051012165632', '182328841418860847104', '-13165747311061139456', '756973210660358144', '-12126930385956864', '3268716591039488', '68002600695808', '9494512816384', '252316204288', '15782584960', '347238784', '14237616', '213824', '6232', '48', '1'], 'ConjugacyClass': 6}], 'Algorithm': 'RES', 'CycleType': [3, 3, 3]}, {'Data': 0, 'Classes': 8, 'Algorithm': 'CYC', 'CycleType': [3, 6]}], 'Frobs': [3, 4, 11, 9, 10, 9, 10, 7, 8, 10, 7, 6, 8, 9, 11, 8, 10, 6, 9, 11, 7, 7, 3, 10, 2, 11, 5, 3, 7, 3, 9, 3, 10, 9, 8, 9, 7, 6, 3, 10, 11, 7, 8, 9, 8, 6, 9, 9, 11, 9, 3, 10, 6, 3, 3, 11, 8, 6, 6, 8, 9, 11, 9, 8, 6, 8, 6, 6, 11, 9, 8, 8, 7, 9, 9, 8, 11, 5, 8, 6, 11, 9, 8, 9, 5, 11, 11, 9, 11, 6, 11, 8, 6, 11, 9, 10, 8, 8, 7, 7, 7, 8, 3, 11, 5, 7, 10, 10, 11, 6, 9, 9, 8, 6, 6, 8, 6, 10, 8, 11, 2, 9, 11, 10, 9, 8, 9, 11, 7, 9, 9, 3, 7, 7, 10, 5, 8, 7, 11, 11, 6, 3, 4, 8, 4, 8, 6, 11, 9, 8, 2, 8, 7, 8, 9, 8, 5, 11, 9, 8, 11, 10, 5, 3, 3, 10, 7, 5], 'G-Gens': [[4, 6, 8, 7, 3, 9, 1, 5, 2], [2, 8, 5, 3, 9, 7, 4, 1, 6], [5, 4, 2, 3, 9, 7, 8, 6, 1], [4, 2, 5, 7, 8, 6, 1, 3, 9], [9, 2, 3, 4, 1, 7, 8, 6, 5], [9, 2, 5, 7, 4, 1, 3, 6, 8]], 'G-Name': 'H432', 'Polynomial': [103, -239, 168, -88, 34, -10, -4, 4, -1, 1], 'QpRts': [['309595228374434416535445561100414343105886210911159300666423140', '257790418708208109876510728442820691628183422927847096153073782', '1195186055059187737848535397292643140882021744376472044825431683', '2787021197103794066159610945374032088211713723959840221671932676'], ['-1129765109117721471054662106511638725597570790925342705665187984', '-1196491042433449976151475254782842749176005137328081172482961245', '1991328940512063620568024331751936609164539462784933509031151839', '3561475106303338527481715384195536049952133472304485319214342826'], ['1985211603966826434370180818966808173980629885548085428043853495', '-2300215737655854600633335534828196954824327093407610484057040271', '2394253314893077611282847966625879494928187940147803095029337609', '-1355571176552607820164719977555385048124576648158763075378398424'], ['1925755758055516330356675639562483438477350606755400096038743657', '502570103425231310535666834641056763250728398990750301356689532', '-2537534118267382334849109640495498355867191426642772437149252158', '3168183150417913160636069804495844154555857497679597581160976085'], ['-3000007768719991933597629854966270896890441376586887523232289428', '236030028113484799288996591553965629580372505463600132451957158', '-1522986606360289180876361491337838712721759447038428488343389617', '2190288183712530230434738505643873361806511538846063818585904098'], ['2224312492959281240932159639224119444370267860342237712536487687', '-2293652578632082584664930765907281535168382999159364888133771442', '-3601973729504866855374845572533180385789325414825089138651442360', '-3492183513375717668707569998254405705812600679605549465322423221'], ['486712670880012307256903140214408619621006139912863266768779324', '1806395290834161691467828214831410633615771165016163255452009331', '-2066452763591976168255021872580683923088450237485846651511379675', '-3621738204263716476429629473462520401893648614647140964879438350'], ['-3084847104337071473960953593653771951207744343896144453873380895', '2987573517640301250280739186049067521093659737496695759260043155', '4148178907260185569655930881276742132491977378682928066769542679', '-3237474743345534019410215190436974498695390290378533435052895690'], ['283032227938714149161880756063447554140615807938628878716571005', '0', '0', '0']], 'QpRts-minpoly': [2, 11, 2, 0, 1], 'QpRts-p': 19, 'QpRts-prec': 50, 'Size': 432, 'TransitiveDegree': 9}