Abstract group data - 1285608.a

Formats: - HTML - YAML - JSON - 2026-10-10T08:25:07.389634

• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '1.1', 'all_subgroups_known': True, 'almost_simple': True, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 1285608, 'aut_gen_orders': [136, 3], 'aut_gens': [[118282241, 2552857], [262515100, 312575790], [215366432, 119415729]], 'aut_group': '2571216.b', 'aut_hash': 1945985838632770817, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2571216, 'aut_permdeg': 9453, 'aut_perms': [3143245240797028005749915930149176425842472449586432656283810366069599403201922823722738301741179409468430396969546037021729950414745925666119289724267555299394669071033457035283926868463231387413815944130250474167148503274758163720940801089514354503511478856094436954395111164555658895463052385110577500080982670522754109399349590513308548204647120397767851978316410049692594194695006706065870090284758796401700808619117434005853824594282119588673106013005676185500952875816888815404756300887385580256296707051700268500274760524915473799877655351375759720487351485021965091386805218132095109306673618622479850059889494605966244097143970638233830062729713709333523960645202027963790566490188220662488966338907043898458103774990956999008250532006345338609045915275389161854465675505867027124288783393432230269381924199105343566326863185707737256338263251317136148348154878856201880109090727797918595507474722028150511677709770883264590849905829172926295125451522943710995666707075272748725582540760843168380193030735129940493206934255303271054800495953961122248378385786415557521400048894144762650630999986785526595394456483848690515516930499964151218710088947907280590494554298955321006644971053506215421516690504896624716328915824696602177287325764152368582423691860799065517064380478654596866678572739518535628988068087667795199362455957571952965182743293314937230059733553766337771585648553073319486019392740907846960698897545464070355934653644641046437098272257043617775753808204243310555935315737359443168355825259924785646717186593289167361157499544879497644186626007828867845556077881536631109232326441594920803245078150431919875932073481481744625059165271000658362709317771168427866819864172958070297871663330477831180415551496315077285209209041198833533366022307168940870325726352131565594475270645478860971625653921247321709086570192238016227103844458075557734666380728408448335022337679770226758672561188532236518157020363577194431915497621259723395353581172534960747632115459727032120797990603072904063336806746535421592793858062748056689460700026312339128718627321748090518389909050748475828968133019815897283467188542005595972711174637552637618066625038681425596648326646588091035483529958331575212292729365877657355327576432069391682387987573988748937134922065657133831229441960116216105709293405385870853736949119598195624617995556538757595302314211284278914630168555146780966576306125630489466038363088333495850580303628381177488170276547972653971268219777440563147803229399252395362841154852123292150778336943166593379801435615533836035071053083819385766259087472729936956633829157442703196576851888849012511453880993652761698714210547240668196832750241702758048382065324043724807678914764534884811557123209757597990459050262645303974562273465026219123762779524174693760974993072061172994995747308633961773680472106511301292819275936632926483887975272779006988870451105936502413018193726039963237111041502752217439873761829726989115518510949907721594675448216285358530925357085040711118349947717337777922919730407406441345061279015839469703816889484476097339796266396227949498080211212311964879757053515714682919412393173629509268200066414901893139141828634114194729328458401665555613874052696239709909759234571651435289290222183974747494660826474550802444941953768183719798199996915474634637716189391815762520446756873225792931848311150469510526512114118388443277064358321271398749558659867204950631549092901244772421617065755257002576327295397593155257056543884079206905868854269181435765457598202563382950891225193892215838528572765060028118003650351965960880070150256754343774214284942220797020980100028727161740578985985454110228215161336231359578210921138989529963288079818339347948621331417874710292322996735688572931009025625090055463311345133394018984979457936135508002545668291452252848410602237148505010034265999773028269328314930251787179378992826898051728377053105762969886035789315417297880216851956016611762037035590953041451576285946796418179235049217120006147248898753846526184401364603006803856078951402725433209200261702510778414476063628208410409922165134897075586365022774739835972152367392161395106325226320017084536406639702742840645111020005507557520767113896815227784489843698931115956884754221096675165971827756591923574616542485751147080375186962835655629680070988973298672674308835542000833829819419620756740607012972922996709455722449656515686768144164382477303536790358164539400860226673428818040498530641907427708442660391553858173532775927370559641189845652681028220214387944933215055487050353905955132628050567996830367098431482866429631729551648373613899370143474895040232291572597553867149067623846061854074207263402384919905358314002986523182118237179488405513437601291743496537593816755303896380487443171752991023398988090687398268341619235744412954181313040499477478948533359191168000806839985124728888420910228772954983445569508321214512301110389035083039247668177392263821879925499112275273057834111573086658328589642949109224749917528716464341981399837226173048560288885254908970561318293957956573150366288187592339434943407018767721166659637187299475481375287431466670667987575566908502949043448830374713299682548080442048230918967771396151230833766581517823121949779564839362611600282512852218203767422272701201549313770415727465589191193737774613182101818618592712245551988272097525236154422370825108712591572891379492888621247464671601312269341877750403573745288390969060977602001598493666442698807641811663120485644720067476713360226345237616976236278215034526143341751774613733191284489101952409611190242245264333568893482493275307589123323177228633015769685822444446178954538028506631129474198179299087685744153696698504856615649654290054069253123215931117599452848383657699618391420908100847488624104920931474905783699377945101127684472671455401582119997573697656205190137373894947441919963664301285855955674464884523114915211743035801998133387285118188909156301269603781028340956114776930320742383963942677106117223483096450738764868952088204248103847187972314762493722373405892025219739921988803640788646243607902906884473535961582238699977364565473276597586811488138250443927873591315874838551503001101925666280804090197223735099961362226022159832972648849093420854485542334640792795278060578448906924624995630314107601185762691949578300532575153087170860608197537106707198087432890690696811232760548733769311722511189772761036141389346240431488042366483314565072064199527957452319758195548791078150140948403337983318111630254214636386553894980300498945194767592853426565374409775359376872864730800835671369239958170888213874246138471782723112639970750888746765665413756362148570134255351319816421798617197874438869602287540253276282257420801203899901974411642392486902689791798842372913646334744765759277516054297394678221287213265306506686727147820169845088150491844831886470271792104240864062185948140027038239252008543832094421926694942197408664455886179655297309571007685609664003172367091541666658242991943180608048759318049547636496517913775836198172264226248323778329466693332614727313120216227484375985814796526133164391085045378052573847214368967654635557777869061712262598530905066546567602515284784503732807058379071617888408718193942596721201927010945206702673271163359543587727390954977683460456335542559005827704026070505047900143976444152744983781227834421944772975911044697512030447642518918069702469372331743140547337145631036520841111974473435464955774570627311054310672854660790920729011389891516461720956154188227306911136466036115346166236354213151626074967399821576127871861819402327371423789201064519215492624913879773288652212000395018847246735916782404594748957371165382173901132463366864762657471410439089684245879181016743701060017781429297353903786357356326114754372422119784921648154791784869990066331907069070895761792527047659106592664816587471736288356423858890767345841361265697410248502840990345885434715034433111622606402132634981248917549276582554627070792955358398434566932533663739687406117876695058280143172002838133724358998286407746593945187946942537788001186741049809807082055678381390656040832245293253421198225114890033559274275667045641905673673065242082820581736917886654948358576867960066906067393048855065867074098916823674805902606596562270434489505928062241213576481939737144924649222405610739818049068656063027882508077167294757576683609875270611598900623892013323297997402802268172827913324440650908119664325410466258463455538279228879065335923294525722076890933192802446702682068048799234449643407742923770671400898079379998719288039934240185869175613861518909076804714624370167427581086384033707516546746007622307226887476492414313206302672204264462808631168344670710841351564760065217849704450101896097601505814099736773678612412045041236187352167554553034959425081533094264165163987556278531624873057851432718621875566631920761391858837687369084787329633015286866398966575251442820872056315256498564572770469652152442128965109747581586414437843795188854944201892828098657575812671463825834208920751699865777438863579366983884517046304491870243924151212271523196053391820050417538936325802548152535494489974963293939416856462725518159829740985040852887952058907689281776434417380153118102211603982013442358138236088470418746927671824411518396433390297985468485650719649156483925888638172262002672365814333001675673447108256599377017327424480720781304279686653598065027754810685800048095403538191076651720545520054561978265880459319787052698344365148332505202852493222264048797775000657678589415763335945753306291804104805196771969919020836712150575259039630964430562091717375632115198090163055141505308965896019901601221009172065591323895757910609062542419976919634348341980887206599742083761639779085199248119498370211128812008434034011538164588625626226447530800156375789458485574121967476353058969365496289848602251775126294035221609348699997740348614302355447460927507850486610145150783752112368498526619477996314352192379388095636069887501410550581022198747562218948075413087920685125158302967127938418083522769582490489778342920634201525009122391276104483465107074226412797657569236348833828018752054310290317170730652969118016033601592642361578421697149829915239748967025554399706427097468179673425161647988041956037456860092830986678614651419970746604871213616491124403357577754680829461733275098312907408191026452554053054826319542225470530976884807103076793432052284375235924913115912886711805714941210117010764605732449920818358471455330040429426042762451416275329449942872183030112740679429881192618386583146929988169203939849558770589939938045323265133508316670546095756783971085639177969574808333049955035157651397470338982568203921406858563545019749166594260098568533198910301018271271746953920559995723045419731728610416362075421756398526986076728470655724318682766176175058319273616264311892480271682653336552847543554546477409952283898572367994661052508010398913929531147699093722256888913777920104680459839152381700048607509944423716759993662485195862003402585167492697756086490914628037560402985089559761871533715670169276009515965461669794816898376538314292721551522778497442341441897710291731794854532704899706777917590493263109840254948224371823226120879916973092854278352243049759797861863325908385284834850537224320308319357501081413943236678650568014318884609906803303737541053066404884396099245394518426737702904489754053219935573774898105158904354413328136014452680818152408682482777657302462315372902814787606101487661959062076911021404514414246936977668855553232461395738749856302203230736097012684705512313814399758288255621904309041613071519040930571986549057467678255455980736483181845168540672201576324146704653550975049089269437783767469271137096969411821789235115980547883216284862001238199502496095851494775474435289765120971926906974329805504949675056039729583604204832436709308890170424731978604000924244843145916857339210478742085143951985332015893682476090360836047270183068123972277835135449793378692949347744996195553609971008739330029421684678366311135207205606864271725521790136128816781470762441619962095693907346704087934506071243093367664012773407003975233543161565267574051676578055545738291904919053330801495932854921562738230131568429528735576587697794980956269136556632405320665119823159842348751496574621350733153794877234300636845643247360340901393088556451971960459646206560401941761400147294794618647994921780181382014013784988304391131715829768619448517013094765982483269701434329447024182900428964277645232342204836894219687739067097624935312965661839680165464509068738582344976245884014994170397322196742092731503610877017288670926881644047333050229037629403566256022917238409822735769587946960220232429040133976546282779873212245587111251926092135422699996738249589428782086629927713152044548660020151055686304557242021186230000701385158182781202259977350240556262819335459260446554779598261494583453315669030139000822990302754365288723782857755448866067591243287937879788350155335687863995038030041509247284911875821434559916866159242769709234869543957851240992206169093396240852057341842501659072670736693797843370943486032666289542184137483301674998457542283044767845589267198347492576769540506022319408715996637590316751780463935609600177048102153253528726800032479270062223602520745646403214457431444804447591035348480294025255244459419419709178931040219653099263148482361294177290693485988990005244262459103276951136048556502028415157111115563214859186245975762274950142101191277132866937389490412829333927295646084425528380147254927105894891620486377232195503738138531462880955095882165774922774281383633791688794883960300716132223507781890798544033429379133101112729119673798082061748403205023620201987038709035698369247383295301104312367822597536784136587643149984235142250076213800050213335537808857528780508890205353071555325240288835811778271196829317592383775763306403585949652573634788402999580168725945445436433597946992181046802220730957872339556792683953679661562131920428638846078285476876943915681832674549373311023175515280842168039851947788612965514532497269100043517192275700140816503096335311191750101033341079537450812321674411367731956990569581831769061221071130892322687605487598385694170354548565009232143648596586597943426411433485052821468737822368728552946771531131830349890570905298017927158686916241774105718076220140839876857207698877636148137423716212821923817724818554715434192901522310062984113510902694162173143178576362740616708775964448198378990031010533792520624845860212257886000717629775136296978898525425973246796485792063420662427085078302653066704243587172890603563129784808573510711873640318295452836719722792800067791954699056989303258956238200525427498460513905110786098190076805990384958550663489493317396308012738975847498135496680504295338045061369205117513786533698178777533905121680313319139225332304391365758274625464509183642390970595986622055726538100096405935594131212581194939753322059756537503721767116583836970575633357850487846492998044893154278167115929060738482369050445244177592024920424788736250035041007764248335709297875258301012089246736774041055455867644869895513642936600648758334474895835690172729185742335532782285732811196473709354947948030195654250461286823164164766461597524083594720951646339157521809843025866259919108814266888176996454795108696189690753096984823855997876575879932350993967172597020271958890497094370100494642464903386694134270947255760544484526355615525966385384150723429872991956118409303481701775123615733292359268439316617263092373541754077801913526759075714499584893645739287801312405881994648278413198130683625542401682273755142649840184501170020818780434249637540284228126052233202634147957355202968450116030619603731381250698951819316329277315049977910345294055741768107909988267911360470245634067617808373127618253841094374239559211730001072020754313662565218540059414032322692929763238807957937781175675204954914386199999574470977163381184895894303325810104983358434136060664162477264459717991407058478676274701429317566469105249447805128094288100141445639468134152354496072984806168216688725117515343947853823420485973618310160145257893927066243412935409113412270620142023496648386296650590488936928241921891833171795607224774562710131933818246783438393442198137363459083252010774465913489434646975379143365995083580347429128918922314076437101492199743880052948123008732157311271019820902389507077049681803568053496760644855383030447581412775252513634538063180842080115924178575807468778762463589144798331348629365780564235922838199703916327089914527503228884090084532633360951193130894414239980433224908165849056922022917745122169147570682834132949232132780913725781517433998826745516549267423363906693001280391568291610328968455751653911929716591175705892891019601868733500682695338457700406291512642275243135237864353086708230603650697694260668926880260138843080551551342358998110863548679431574204107819071720227756585573171606067069545667353835084798399647137989856769687927553522842332682000822982432474095412491604669360130703373005865260696459214813130061424192920067324644361135203743020022382216747991301480420847048897510304275960070867070902805762458444981477876921105402090217328379041626460684956586481335255902841780782379338861528782093873606232586587765721993187390277772288996933111981493893125462135620643899212037617451296082769564424624068975874011002450597527336966879118268721058626639341722048557952290691711375647353281661965581439816452554900109549450210235366961521278409716640219100310068149137005755574885724886936023874682576051286367113717445689338040971809914547685078679785379973922136257222121981499086657547937124369305320635217631518613744770686212555942620084014796921062143462905182823405277197200289186593400263197797816279127850731880686904716198812567131352430680300818627338055430586227180197738973199601896911151488595208907526463915691444697781713841389540717681061700963326013930077445439264298954440458894904988170660550255746541308501075667329951122117479028061560009427649508780007039584705002691761736422192012399292797745833450201390117752627349846648768765244780104538224879330940147473521901568490303528280622960647312677559777901709671898124582525943482912293753549754970162579059658663193145547050644227040105315496746419875833308479798726947197492627174608825563155941502822625361260702468464928642002629206157236580701241579631887475397219248253932239276302368389185269682882731468392441660172860461762975264496503007886727397756160111329750614623704056820617217059075139887955142233988225205427284282857327890724262375424477418362647421236426265903824780217032708165671737603894912485219257084654669955013530553720416917581796430391699689396059762126794033461143839519189422563848502660099581834420695565555669978401569060871141175050888596862978760583795027810195455381769703515959972897512313558313432552956319899761506087943199970128983457264776718272876060951906664892136642916093732787215301683120821218549514880263358660397549650664358791854420635245969779149148274675782963734772511185724231130781232951110170965542295780448569716448348341703862662804727763848185992462931877560542061429132127442415529880839269174596212418737622319093192467826828190591468067642301826198586477817988063937720796132916706452420808142560799923753023079754101745882246589645152864225413251743495554937942783142596057657233282699896337263336043038573902566668248912429164698156798979641468067840057703939932081871261568041047786844571586155501835140513050929747594978047305010658419645993100093657600685236569012703177637235832148246944226769165899976611064189319579582562213291411557266360487561560689400011463758110962545199348266200232577220461332891882709766011829899573434007081054092640049228091627477263353884562787650110021831008260521203708929776092842204708472556774868322708074603414742709124039255028817712260419872749228682521667914902474443632840627810488363556204451439839595557165347762656304555056780900034855431356493111350143043990226348604378108392308798227461124329924237795845506232759694996435859549248215990543167403470136210468339160808214514855867622143430568641294741085996925827422902881750182629994162266353191507852236673338264114661649984924213047104535045608200369293438976969034910837428316691918154996897759954623434564655718999285878993674245528938657810622412545352413479997170901400149411176771467587253573125445908544932584112590248565507373461001771697358356769629534041095138788433211626131096939778895068381813585496815003133897206555694312616082016418870827842575555597018471415785214341958539899652727779789088787604641430791452625037513369792430861019837365567908459202276783110017390699572014030147809631349816681526632935555098749667891429721777204140069791591540619951837791401799467687431642760628550381800634925906034460527817276718653562536240902284021010459725998323619042330908923566492020580730119750694295168619627333762976582720052814877183684889937686032865627688755216744264186767467761183906086540962682758249183081392334463766898123381148730719659599249122442046317704496857758987287355586606808971838882821859917756209962241131106548206020134789838780642056135158213711030248680263390849864342378497570253457803516211787999114119578601460641255109775267736362006419661389374948701399991013736877019086464572752513650996495578565508466935110463742019537323791169052839458334565494558842669022480079186367428117739468291821172986383989851676207045922989166842701425730898729520920993597139317140596843723746678441812234848592006142436541043611302557283073159329414795102945616830085823949164811830804529207876619523911239371414027180038800955607517083679932567937701356195268763648568014314847199218956564550447574162481480107833395704878471914272766271214877265997980825143014332468280492511488569053311464211656547564018448055777865263952283146263239917966677540504199524930021646924443377598625856437302962778159650242941894909867296795790446295945560635950171828698936175633917909754077525495181728587518902179289921163814237370916791138138141774839911853137979027000213204413661208657600562221517135315354986426874357382291359011249914765290601583603051075273227409495298382830621616818759470992651067413417064575887469110085524383962995522864529197451054701673869953528358986079966035452036683846357132392232892960875126172131461585706241227707473628782222901912557895023070330831116002336067157307287518662029656275523619555617213081985847943455537788909232247328311579115033160985041086341895813103758431972707270547877221891536870175100978658664409075233236026311216452985221241649742150699403467543214128478509357389484783804388481508815684345282493404084708495287115418778777097742839437595453632984574157719380219888570791676255773014448489486819424765461474258502067710031843340661924582398889045209709848243654442957778372355844249245701970745181247357430900350153873629641525294614985938763271784976965461534967668341494096083817230713093339046818148193730895830475984852955789674648173529830023243276664171498058832369043713643914112531225750726447642637806755839225631901569643824790087769614796826488826060561275117899939311068587907807700027871554299447097305591133806905832538840010481922591713685302063096124939093610890116287384970531293461460875807370354467865458217839690401557597307564296332521339584983351157445118207040077396753189717452996175741273829737217223000908205519305108002583652717817617305002833595188824922164792584188753979890141045109588152202691823006663440982834943262386751843062004828684841414842085201739452084068599217718298649241495309041722484812212927447745887410198768376290598499846198953436690239503067270490586948653636492066993538547509896082170427430097032739840532746564602870163114547927413791231913267802284123502691496340165053966132270295339672107111100724326659353683176473377997667369135294070322967285279547109491399439552297593224749926112705155385964902388067942483084542305822398665796005224919405568210339532746737505168145273310891940992308573413779316551791759074103452858114245243839972562838777445337268331635956186834849061549598205313431696442462075516641296716505104317824434371645768358839559495221062279441584050915225881355751580716907510790771665102737233546300113847006034811356615917010584563087970661575097068749447835071922804849734595603713159090019566378928560006697090645255271985949557956502964070073081361381219842354099656769468580687605473221512455312034460444734132866870774388543673586543924366214039951907558708654436207620375661380105783136112876175133009183914945697428751731374111389829646989121933858167771963333344042127354901265752724241492375259012947604288039033733925950877903156880797420066583423944296324025109716253934742134227403581820385286044146249318982869416250890572603260428074603139796297999809957928675220129224042257455236083208922147767672746941817046896717200858937112394642808542186689591001037269524631335871718029886339481598890891715977913119547583058524723156242280793489850629367636017147058632709913825449069079731588900462041514846804513846210627774502714564598063631306839107828566161182643834056623031344261384000714867443460575669191306339458152682613920169897616239039981390802137628451456149591534191923753781613657330175608295205205819339382187093986991026447168961310362518100852919563346066458597292595501534232714402614007314621165626849520782726743568857748199852712817500470495365168645240746049027150468505916336234143186228218514993239810167321344314811046731728980584156501283180824956322787166830276604351591381310548167243738267790690692569330883615053394642211791439988795662361401650191479125529084357207338262752984373575807776809299520505100732185722039075091456442153650791797588783922494309213687873401352120291961165271349338592482915220404990202759894573954732649240792423702614722545123703957049872955990299281490194837104685202259583688912596130334172484366058511276609597408986839102575847219021728994773931893235020012307553835120675815344915527473268447564905127918182783496793183112916495602287068555321214627487777411862997922589033470278051133459966393442671714331562698949947315285499806372055981708490535409359143338815467224901532650942391299341509026249087637899480727207222968110210651743749679044810415790945365988985213635095908142265922084916691303122521917522221839740868969918831116531583508816754313032331453964270190261319604967994017159613512012365097638668915610536621395824929136529376423393014237768846370076822132882270513741494718123730411074979927105775884923935718032652082225939173957858222138223638066214560028060199650420737639554203302445114507408842432729999092667447813051251819552347143525476637629886807028736221277087287163291732182086420329453021586786020033499546942337477631801364627478891083118929689981804515722906933334797376385259485074180664723615333780554090746852028325707571676408638880501067812059104613848619097652532005336535629238382068488139739412332538078702623615270522306899767910287662133749319436398170555552818383999857035935996497788418858023673406883887956907762788942724620897416190088293166456144068230154950460181709310244898106754857861825414035091391617513954841159836239747608433281204269011266949174300329752847663068339169999582552715501136187623808656814387360127763911201118971137959965321800313720180009101155442297770009291353874346305482343050148311120647704712969062566458765084651593467897037999332878430983657061634215517680071050182777251677880333156915915112269707978769533052412211029473005483551889419093932279014245257162523691861437040289406595197881630757724879556860124905262041469898265843588680160586315158076588047950306738872805241237881145794650921919748235008872871753538767111898601039672613063048396041917462725507147207462173712820777634518269141138810865291423374351226954252451007828272127640152701649915996921846907138028756034243059308347929610743784362867007245731109602578177465367250058880595094780165910748404565658005080902290976398128786436308722018859554865771653119616949353028754467094469291502483141695489921829381736708089763035850969202037477246769665133981706262614786230553244294127895185301416632038721112038831132018671301702654590162986758270718848237445402429177371742603484647558829357508138697589376040441844461196582850121458580180637878483208172568643492298345826106076850815387999808426921784639739154117585190809146031601514504703536060167140118982556371794620511428364973033718242683156399149843342565233175475269464396256750291487639373562776002461147258922576921229318899885386555230419284115547206877894078105078934587530979183924468642619223388840874446211513349847640394157992365154388448954647641915974942104146446328174757724943858839199831377601890098268561291688951134802387530167956126212069527982568399287661889894969980463120817855971348740119175094993112525830583749696028028019715912626998491295372433844275206136776981234727780087066419338014661558463506092183670821919377881438621122044444983044158106544291583278397011417071631245274981461960724579393972465773346545625549093251295205184457684623094648417220492991265989607319603842057904005540085809450476822445316196350870517003674840918841281879122246185482674828852623381980649795282851697308422396266534089218952599363377614067899779472976311609113300639375952185386042916438226972521803739913903182337064025277498373893962087979454974212249196342735317852881448356337152130749319574476093921281050696984721288952273811073245402455051835194866614016233652065124282085188726084076065100643883487768936078896893652823220924341238601116456642340485054667869516395722510159221937649602170940111396683789283341561897822440260143861275702613221800756759862458984973895150609899405802614523087234048865128342867405433039487079206123495526184843689877897610601077714141436862371969563828919645397367821440124135784322633151350143869212391181591811447024538174303682833179800232317681295099989913274410020366579388941656729096423408847913543948283173120318464333004105388258667388066678327247669665666483453637831809177944741683482852607675139745080499009338154346653411399945856590999336244478675139209413841396823797897589978248335407017954444376927288435119753052272445582233823089337504165056599381190004098767556169506024414036348754897780280416547009510010153991954381884240466163847934062463209705368088895948580744288194942409909897015870555299149925571680882878065744821438483388501895921985033173974904312830040834799912955461323835786727608929525607824331363389363041286293970290605115176181219619745334472089826313393585769239324605744864414619012914641318563092013542069719092579915609453680106264834383867581789714342676029560577578821424192655110248299535362506505189666360404216321313315760364594298548567721629202462213300527273200038514668737843337295374678028067005623835521680927165551118673088486603672086850644788037779475205155450624672867888224660768400882413458418736712490242963138056093891828780476078281401159961285701666157340346894850468778959495285877286928711832964488710759779824334440600037889047921367449101683692875504743255913552228027029882786939503511494946556032744497658119814648857626743225896420794597817532901445660317748893834525075377781361589392735976094483847654691354552611216860325360443996490517411540199538387135629669617454316829041313990917560405623243619226519556063791743032364318179406636932466371458649199816346962984041367673711541092928641950051323722975972841692083189412496531477923908478893016786828090417643466384868126434881762137343428221929951696326266095566772112896060469135674529088414287067832180637799603902083801871781492636520996122538659680107595282705417644971618060832569832825280502052387740344674576351482066255075082269318178887525944311300092517632970098004566440059300375118789063094144986538978893268406084233668497263829128447013634457977529017907225069719929958823887615659868993965566222341595642308508217324113444898095869311606874087592736455386483595555041926211950065057491962482675837880006135091489788710156283648006329579463293561869172667307042959503988345266890700023377108677889941047402181224606348364451931178170405679827269632323791936242534438161266521682768414227186505966593593605781835560329869510221419555403404659058937778257825448535568267274174906521011634398190211727976726881631692596244361192003529411768000642985657441856419569002653871155948175773620668612875014805105972733781239924717127085778519909207438822181228302556099061847028842143070146771719061387982687049984543789241235059570873018303573329540266725213670271973619429045703691128831105811838911416038776828810745511442940878857092018686980563887268793687963971441790172524801755158470402370383623644469504257589880218136264551543794144555697312259305485797729889459227545587936870926154528603765126707590866539886447331852197414184493076961124789837627490393693320655307230870905002611933719609981981570459035167236728611616259218654548443585563954388838758935550677119400544353087045429621567388278613250952986459014707644950688462136551731364754543516867915455902383186617992865407677100450341487005040716046952212451718491690392396266433105568036074622130014287390113054206499807776427066814640819101485629398583674383137405427723389770423930493417615783242860737564329960297933214174326847118046548283726251560313700044247913507682693900052040595314656878139087458573396542858717255220523026602843238756153173634173886330876494374119001511577960229259674314989053368055045, 5857048754631516158322991465443955763303326282989494455609122967097504332951841278308399817895652305735878272256170294575062801802439860756045056303228076145883575069842553356712467651446900808992977763970812556387131007672905407710872182869745841496110188334728802522067628293528974242663284234822260386764000073357031352287076003647170490866633604349876282609459257434901023406932687061172533483481626535537014554883581102511602210232568690125060877128209453775699136877524797015750231067353925451719585461016571480294431587348446912891410560313039430997947588540805319298412192526556505014963307079876251798545654618503311604512243728622497722614759338788878657584861936174247804268187149027789533081795908062175749501373512317729240149452820587026291659010966534674104936099510156038428642190951276610097545855621792898018595122426368900739987301683885627081102958414900972810994862222773863916908528786033329755560262106556967465013427997487793924371297300356907133446275769437135666012996193571893714879173771755859508639111956389162599110604914832173311810625127489076999268606281271822208235629044141313784885248564480616977656310285088680852788120783608951800606767404995617456748390058584372102336462182404879513951177475948565893416074444121062354023840021734032251266180843655572340978886781512090491544914109043286695604700368957948841906562621001359347318133090190719401577317745978037059692969042112728748338822968494082127324896181110829812873898722716691311261072254869054674265605679953031544071160510462243495662977791992415748710014588600575383525598959225884161607165101913528426541792139067685759706179706668665179412516399130314967734974733801385804607593833543572572985349227199691841608513160474468657394847211465858120000384359560596349071495843725603850099867098409352938128935766659926922871626098094388661176888866285374326881288017393709488779430580211184953421354469503283499103749745003647421500482424970857131021889402169640392173365273909103953582962036056589274906103196983947348733361847540642182871496987517263810773783628300437803042126208258739174975409670277367025486189981351942478540554485155680207017102595471032887793353990547335368979288518721822947349391792867743109394576827549391239858427589197628654121037862362820679151960144093207314181592628585744832783691205586540443950456477189586167320064675500674674078214418076650525929056923138926959068939772571173584277618425476305043514827767584189376317155429859378567984259876904498987809396770475061176889038442205568415168735417758256446684702706298611671676008151045758258123201717633391197865263069535554137875667687551948093303889959934352490479940246362525057683246192645669207746350823421324912484342976528146490205291561300908638919597075922391283516095204775253225240258359254433912131943313352935626442870147762454993415381362430287270507616899540033804158012320919809589736081142887641150126429743599382453907481161542792595517884334958802280602017475919787294158087799004465940823012032693520240630172197720970867599411652199273194192251959598747069654318877723728128774636516599156265177426116345217055853148063048054360988862325046315241904590361034675157229252976483644101077201242975343554983901447935012497270063458769791075748858219380526485788668523376005260832600344729899995770265541384955465432340766152260845549089695056492462913641237522573856347053026447188781037238039771670956582494770394914064843401657329036076912281694121465483243618700503795804877554262124198515146798173930805266375886098892023253950389483896597638011884631565432710313872722186092978902661807928395362034780300126041334920353814189119207311308667378806893886740863383334709905571516429224432347312273809162126893583852366890557113262308440830226544276834300423557624739758291799756590985231648868910603477998775179068456251110653236208942964230280323510813769506932704645784749492295304039437866969351178508801072618647680093090623419586984061243129495013073186455419877494669671351949978689301963815621333630063107223250618286083723464956446662263698799712872422757427766302323130412461139855410576080636308825780480839199102241364534923546347513546608239966396735407944454756248190745022240466890374175267530610305612919118858531334854457030766184740955476388191735563382579698190799260636147927703498034678997469317703100621651089778744352679617254914969262134030499211460798310741950407349890070142845177413953242613553727950597004012137726305206195544565895701927481475385617949379458764216142071056037405131521576928586400731070023261701576973869581368000194771610226169482204589203655680576523202577442073426011653297287097597126882617625568360289581282185680236046289174641589505054887260519368772584058775073595603859669208501828025821304259462525201311751134802527848882864355730332706323346001750016054317157922881248949278654509406098395160289143538103952605396770993191752122293108580668816888739760584249259961058824271764568125206980813003033719820363677101331387905804878583757996970996819782744415725908237879950374866159778805749478398970964875731944269543484274849259306286447526804805657896023821214745198765960263941446371640400915115988368884654887571471999327176289228841901367722171762144621036301184512772661122157736916496241254586014810065312534125862257216976522152176425832920659713246794773994229534106136753833734995352873861195625775061204469825306850398241996176382456043137751607218195925792558060048598951606827757659567816598615350105035556167654803854062773426812305940718603622746208186158402034776505393812155079219624110211644444181968261888791465894136568584400093461148201767726389241998133691000324956949221656460575833236102156963593881348895876541142867115767638854069813191345093998312811997197697022609745354727719883757033944326283449641986276948711964708087930102464824916590348380725431586028032313362611319361255209512142982251190497545077926472422423662917059198900682946943222855394414849546529287196048698980604952644340587901904617445376586333185840432690420159819928458466151285288458468268549515665418341051730656762831319426430564147494016536896326827302532940567393912987295804867141888338581594643840507776271908907418540189867219183601478155803898312228332817163093266269741886573991876619734148297191306645263177762665999618145152398989628607794734867023513323332079000255619861642083056646520599323488194663027308695099880782866268502050627849825699882569982065625683495115827711852684151010048446977240799240793094350180986441931947800052295352978704399360382305685246827647491715931990838894106318492862599756687641338931656355212921110757626811484435823824833745715913629383537548027430582781674360541399057605672607771683814096953952926328605782128569450368576076780985280294263350595646403795849921000620032668361148100140559543365281492412145501584880660639565840723226180312302099032204787802711817007856275507194879840941436038215361228815508994517765335240747831248306520340762942222076517240650997251359930194985750165481618966797302023924641774952583444491467807441098561485238277606547857372440668999600279306999586068525441684672102361682058625262766655369718713584694990991504310439212357232753144739736480615304332619113115610190979987840309354431353474875698208562717068998079106511496508590205286289276143397048435001442441358424131579890841312543149241548201455758404609738467022122956696520463888203302271334746194143524000568929525696690765240684514511156220372575687423919057732751788868371127954344631345267335406758580691537496291494867893541156804777098176261279538936479333417110914379585805808133172877661321124074003780246782419752892542277851559047250589151052210643575063060011144630422057418958960018421348722539929842711943140297195826971004535996977312860854791238104771972288973351653249760807014596551755677403408612123540999653719210057876718318792192662671362968600185542241408332707662751754427704937852812711903130421573596578574747600912051567769176022218532205292586547569206422749941537642516359603466198843669686176296415968882833261177817812310600686610402786478892377881893391785440007871284669215721757952927480265471488259256181074935475074978214765800750011275510361817106793361119256364057399241904471494261261669194237954227023740830951057105056024969812234368147125476321289094036567784332600256547290823342610518265184865283000420499671942469647628989172103802045878318473732052758800403731283687405677950939546440631048901059364097382651963169921400239475627541981429880328023920318971671151513458703988472804295668658102890091804766235499672177375322581723186969192654252284579537961998678367085308984930769343420873476639602300813819984044039134589767322425907331063417347494859022394208110943904891874810334024744824485019026076735648706196542895529395508498745391391347712407313678943898267111999639689775607841595788672569015086713199081738350310896961713144253783116970700274006437603745890946228091313581012288957141064200240642397667277358293804386274240156742714384560016461041022171611502105208810429422473518479803499370854092439565570046953047747633237464968008616742395631111082243131499296434123913972847151977239857717717781008788709616356136819694980062011649062681702474233138428952146633170921525020379773693683504488210738780147692886539823765230068445600309642255087069033807326918706108789350696827696396549092287984816622202906945790410517745501278408723289933679533757002046547215981018204086709457517746473027066124441305977451272633099266668825505626777587103901765785392346303946948945872971323811056822707040106535006389274103924672689473914123289487758065882501861826393158288153249358245774281455393942909222364242006059716918515816867226734507322604526830050933151561979516341226776753088512865458836331634135748617018550375052151515984677898741433321721918861669280688695334393698728710976608483584437906866351983697234521090386844194232864135650129911792108519106692787261351832259258300234103454259577685261378207926428568170252870076567621761304628373338443913903468974283303760780580372213360299566534548597853026274996482513900848545425230548704524034946836359923395940909514791429084468781963587739798789458770418178439810991008259312995811448191917286899441506717747735253178191763470387018414846450202744820076860478201573083684500519885946976085076208228957775766933336981126850891304534873467822452228923965744131943656475475384634547124793894362222914745822252098851570812780037486247992571594286697570500796740124297727701121086587313428394537217083608732924463766991354432158193772581005842999032316992667844227906151829409163696498445576461773369950750153816777474063266621793966100243535114669360751394742997840422457707565351713890614990447482891460811607135881874024082599323808658146839195004555898135359053914021948343658768256030746449045192399140070308220210532903873976248395932405991527298850000475981364611496504057541803511402240524117860480764602420264523326670894459355932205684984549661344805655684988987700495161778831532569513309542784627482569220578456403865375348549286520761309992906624914838158811750023306975564801992724008553245616676693209614915951004358747214101420494461027976597604434212434077764633000354658539385430132901287889743579085746860565081933776267244658992171146817277999075684274931562442354136156208852006551463884908892291440667418011303520483458302324935328845976796264250513366235069063870171183475512609767085084057957753344131645230059206732277482118021293860288781722342467672960031385572137970714517584765982755238122326890091085892011379475905318360432579268718410367288986845752102680516555309110618964176062212352890191308667363372606163771718762605431774220755594357772572943861251879524007644711089800020348113939419781472897330414115523410060836575550807634358301195502800170800192892847389974428792251506837845576008211648114299518402502623773803178591281445050875775853568691011471646551048818653500793600930548595199795065540006876305756516822120609143596499111336276274261824374249964436852850808839827453657477478719574487100185635186101785583659895831161667162060446034314335344476536774764300509401680221626558944745688286058340964930699000636282874582323768982461874672628726717038486714873306333505735806662843868243462899000342223352096581566474479145641371707443668698100818814080251353613215303916955326943279785221657730400386465429746084398937018759960665050339121824758188058269457375300651737281960820246686381502270717569178409817114154290574205377322349726029780427851431652975581480517416349615867631812289583364950399372479957718484978290164120107938592068270024364055353579428411323635994398571171967219845148080731429511805289611434629431271621572833664964407530584272495905458694804560157928919730178046994064041414653232746459462670059297117210898802658309709032162627942645057598514475993726256405597917657536724317472476106994198822053652035023322818662609928702320028282971319803893475928453253761521129045956751151042571752259639341259681153564532757377392326685323612545577048782553218355558307192219114536702265543606206128780864483166456093925489175189936321750036438210552943118820758266350780838920135770374156012536239423504589372757822369448470427398507321960219159685029687606951245376565154231833781899673316742647958469022209200243813207966973549577034100205024840624148582432845417426769436259938017097700647617314722963910791784661421410367292055337206252951161648352452622686028626499923152850593421950838555747712402867153720329547604332140242005273149196869122112132708684824969699397811605361748129974160060382557336007769160558198476918963447884822005268022543011681625569885158534325023598759865484401153414108874699536203355020238841749223517446785748789636792543124210324117192526769537708223286317113662802069267797867531112002047163402350924129772795521873349688173745019857669724268904826436867049475275828721172935557531836560392270689971753219614602766222750817009086020802515319333656782372239436052668319620039488132362942806153040570504852393200196940721483954611840182512231205577742351374952467461844669742662334075268750649618703276697290165720329350275562316750630347056456614170596280838029156438076702945007117779244438969184633385284634526393729496646029372482287804910065055947047892981203844654135751784484675275156429666003821212955871694827756615905175206524730725823810323605207710948682404690451990923584000370663254248822724188291730916736782777197738910975250621593890532216610865942631066338240990918716063479735492033547943858464198835636787961647551185857667872702152394495425134026086604391243630435376202251703065289334788545668593400920140874294968801853991311654314484304193815505270500179725270152025219104042071498670237998262110113499228918335287867487886517384761890124559836511420803966026442269882201491434122646893085710842853633101640399340748624965067039169043273657597954438199708226642826656849104883254977287474071688639044373707848191248242682108765145135143487230174489167896151589775264325014142301899972665203099874119271467026092557772565539428621882477852623163021882294545112624407267147755299376603896453963025549329101230963033631918047144952324158043382696885734798766338656470490285196170067798397781304960060298796512626452209414546983304241738116624959217212563068485188467726833679841526156261299834293535423573851767314744961859998967859839358423252640155228421538275241031947531877088459328776703039490304708139238478664513445607000007304279043936437467267001903292425500239595955151668750288334559554764907240315843603738129918892021724387360893595613010322886231928544326897768127075321608337423955049742388345131299847403911838212397583141616297159284555501997515302375567174998709947871814514164053183030657031148676411204268784556449727364144692946841014429807483515229896317173504250068017851061689989728951667785883997495859430263342494498267091666737120280888282946155498905790908441393323117925010301543921380316610104199325929052508956818403154850831766374120069828115620154583126224395196721079272410272606893733199087362852369218433731123867525640914621454774587405142470363523406732340641535096317726989861739517090586995226964496070963059885870846956296604676280986029665441614381512103405958856706494457870818110134636694369048307512523326802443328287932854284643424657947239185074851811400130705984378141056613270821150273308070124967685080596066925098150324233134561123287374259162310444087021742575790081714664926813404494739658317452569521456844149284273399158625522466054345877407052885586181098956195252843108824451930131399332162492004670697823531477158278898605297801091902256140887141707689025928948065193043415772359921019037511872874143103330868314467491703756585209471803437217773433273477808929103708203299514318218710975572862353379937284741499889707799351947702938701461984212792258982990570865710910039117746196382481575409654587774508629129736875201671484393123570803398987456675980290829953842722548630423409074654948590529948488036448198211207612724736512158326796525639614907556361992665213275148344294096427666977632683833042191475986331033094069632295486113654917081226981300028562966393911173998700748689097244155024718919994932219808999602566634570801893697713296049867882732301346067553460349903037022079844675815128242920259158432885365609074547694647611921657149663871731845751859758905142009431360008499565788407554333886543618942932652134087166180160125635296694591478750133466340763694034322343328473305927883649226568629274777838615070608429344498846197649724255539361902783285954600748101626371316038613300510685112314946476982928392394389382646205868464345221918017812586694670350598643810804995981984656995610287314207319446647714170094048222700514589225429294679308526645052497966264735880084243583678678885114619131436708147352678479068018839498931372776044139866892452196136941720241379961903197889361347514206314487325197636338278255613222134114324329456644171365415060419534917174834229277595514442817686950208147344345970343606247379232298501066208089251515074467003129188514392147189948571345610036129031728670519649348911325964741823358518213941711143140293240042326575022996918215679455145659518821434902368914733063890475774321338100000159299182132617587327576817596630781916853058571559422094932920199865336979658103024020044167749543403531562829528103024531266862958027042711907419198446953007158486566509479871075254440496806853796070765156632182488823922540522139755692113713904531067027031326791901599712837252254111425310948003401633160770349747494927619901252009495216522518600602338173314901052396718433227632455561153302491636751003165866719668087839352514624742055640652458675797517645204488899018009743745309175386854355500823013958115939280464279223152919540184681975070350552083457121862628910302731033851619495947742076994239662147616863834358799329507606030562754109000674796556390278307286468281605095409199409779838876281895935694430610431652172858180530135591894072956175922512840514763541143183818697795292034526835948066000441090523065846106493981511843754380389640107733163941241732474995100015442585663364891751534073195982932710253760877588028919277879045778466646760322860213792121648102536154095901300200568450803403862570156407566315799458986633196365529251327429166901317066192198914685324432132443730608142625987505013184876417873727352460091434527632829126740277182082671307224495938462272027166623948255461299022189170736560029013292624114122334176464487800005118031221256681967656157632982851958989585445611725988321160039025932335655601929906149901300271871318073532772499317382026621608787885555495027896627647028677092786786802322692126492188357493236967904701524039730014818986377653913536358360070857497535547608171619749294717031938149761178274290366444775791953845293597897530269088135877465068370532916039028121032700877390274410701636723134750379748611095760385565962474168224296264740930285870669818743445480203171275291613627100290784245978562644837871565386272390633288581335429912279066537473045660934780451533998125821570822423583865360632458915395067880426512350094367193870815705812317405472869055197305016474223521240763250540289564050802873320251027718476696593154899681922219128741543158863124668182766057435165727304763300373757971529441903173921479139075273791442295086392563559969574658691119128941307331325189153742996552001514691952078915482675516675516592441627588664803128032054914533077848394866649468265764210420623638140608542744146365914671389014971838323966442807470238079738966203852177736688492205891528657414620465991496027003750942731777240275741833270613034688377424598402638964894888009296512283914416348062322264227126350504893901217439995681483905870835538864140261750534761252693416306315962560705079839180438908107101974837920866130887233253665046976216975247481348680571782177014629234040634248985533715595567730295828388821672630425299969077857417718617450897563861818823287104573508838573021212685750742354909597457036252826488042183299445279412369901299937546576738366840211112582236731958825977401358357710388760911681483076440472033630100499658069379984339184170902713739792181599686933062593802175802012854568851646180965222008316652281220746473483908520253248469898178866783247712078821081017417467651343087742927125639309346391091937416930674306539601886706577356250261804521611006622283971105055982312423136115098631776492858636755834786945391460865236473339296755384862405060965637512966867754309589418468959657150297342982296538891211029935631035484964463738999305197954702224186948046702496839958618883936824309774247122797090257689575982519035895194182867223527051268627090665761999124335762543939848919861383066577532797312328440671614873559406427431492432781169132417928442234948428198518743587631306886588121095639385338879550294955766252183080301442686919515025158960844159678028144129214419343942826245311008665979656084342719734399128105097793197285562528434012790172472724242303136930801608143470517293594770063726328640118617801163195778331042403920232752442538910561024252718851523597762540274871625086883050426257971611120665668621892984958518798478966113079341533118097726543130535515140383265731960131740524001710050531793417130064721113045238861838404076190203807606908641184659853598709958370371876177353154665529420799458559550069191686039677135317662447088204491647892099024037275406940074146312515104009425494139533270563078488956271188202845061717521562284020154547632161486740974463426636026197783729519834105862194613776820943413957598441868121174332305126619391350835333886854594557464647308040407731313571158881271517151654911125019298697336465342796938368005546877597190373579962622675744881254707769381352756950841181589829737641119300600151986637622468558304757845117348504699068484151963602113020179956131243075404309662031781992824872172322970518116699907427249931386461682587333754702901225450457026672419393313783293735538545453630575069723330086925387768354050369387069873412343777510165259933412195426585178814020529318621825232807046596573057619879330415388780265418346933386577713728431374362341737228804241180163057412322869315367432782546030107704543556451015583379096276265604099434348482749750203591772820099454353700384486150954355501826199588907286074749159136477731377208990968677485682895518688757959609225426584478148710029508662413364465036321095733740601930987869375749539879109933901171918758233228627394441487814332034021897823048067441096278414553916355578956411767433438062001897979790038563345784817794723620007943139463577928436558394041388587097780432881331843263038404982445702583812636731179722238754517158185807438817375358011549625474570336098591853165002045435676331931846537020493209403016860184037265668340626550205574549747582239516845280145808338703324758541189866135858561735274408172289883254204980752314283236195303014303330097016390046611079690771646660482991034466797949401886444021160455202762332924457127079526220199124486223428500499069476643196447316356476513452848475233733059471586859022514597090340888341551381599918453566781986425146931167675367429446151250849422611521304416633488424535080733746112010777979794661770875677086521732165296702404488437572382183157282879021599532397959754416861150039928178416534734591839554177418978511442024686129116585750025549417783311807476871240908300034735320252790606984752276863229287400463539315957978103377394062776156015649017745263187455690432543159203526719197887361767387404638947875550871017250428206627893426838503489579944690287611625057243176005191261641869696340777585093816338248556468220599534826863355078215387269978838023794373461347148873119774486439398045877771004089895475658295332707590668903980869404135293930697000875804781278742170946649233876764555031672530598427084209965804984697629322074309252268957382526261384436360823794097273966925022641582004544952152631927076184154184178222797079018855906856646246413942835954951420762162083683781918040639797456817774739785883942407211160144705214299742136387725647145824569727533660986594891549395747040643948719128242283882979390647900963883874721882521657905749718452483614667016725614991558073933179706109175822059135200992753986475162619920040774775119365902551949291666477280140288175135009933571263010664824804956648900461280789860833785520130970022417435559661204794104981330019736030479701433980377889809698251352662417063867021113683493127170728010824789388699332267501347640046729882640080178435563629453460129807823620365051264172334036794263621184946372931756719575348912354023806757834841488043728159032063314537876479844681346172700867850511110427542681199250235144448608384742427857236348966922088779543155030999022366569233646933846420972053011506048911913725341331824019020420999278297044716999776777434342252365475731850552184176802424098983868059821059507899144223063399380970497248459422111589731295463225408215103284693754055612589942664286460147765461645198613590692081932858728351585198422924090142361359900521878944387198964426254632110998627946848248314353423926113542985664374263713804714303672184136566727747468945028167005910026960163492103457941617901811346873690059387046382712079954881521585885129400642321185318376375556177501504465706039347267042578902572058939181128933926905710209854401876438489477573237016018562942498903691504269050586844142749167135303247629639733879087674628107213336842955905519441596120697600097864653821539536345683235471202266052755277224552236004286279455601483420763024016201868034226983071505703066042317857207579907794814335800898520497470364711722147519128918287532602709498127405590165513244831311465129222853466714699863558255581945839321824974047685351816397573456683827912638254145918353525970314289614881029626958711778246018338401475044803408482968852995884532624109530810007350231858034175616380318569729071377074532155773307320161903296298376188476041152287833569653513786856155955985062744303992068665591604683729980506226056421930589071796028703460192597629747333378413777063131393167476618392260237840197971026577156871345078845860942572638022042372357209887025283743352155454923103666182024380815156471391570552493059668612554351814574473441538020603879824737562428856684245124646701153284675493751619218435973053592409340220175541336044750357251891454797692748352116610268920819713251835230975879744678691056370109992207059029648994461260265110184497697259828365518420098113934803063103495430485626847720399122850936863946681785327147315940347290090865970501400398529968812003818331776119149649983777123985800239444784476381890227211670779104121100893161376606407403641258479634174997366822177483514677820479607087100106937137061621261814787308067946143152289032505350312667180450950506836436895761832868371084794714826230744266756639601117185810511188014827574414217955927305769688113729667556146414570787279958664949106227508280493874730677903485574563478803199573837875327808242517977403785045054373546400791271894779878187089785814809472305741896264843600307700213286113608489513960010767573865136713588766198125811236798615451074040401572912918393556906221403185396013554866923852272052922539350442819603638681719647067548796860058149691240663870365554019240121201710905695774283810669354358890718754787874666695834844228102284715860023516820007198734751174267390841342343088866460212660854131406311780860982461836948479996905171404763548376314751686163347780038393417856644676961313853003537041502621311023355460742369619863862272360343093578408886568991329042011386388388486494713944430847952431588560443469330852592966855648570347176199186286414882591011276527097429097545367795120189587722417309963505603359799773046706328521066789037491430033212702036097299601950740979341166553130937623139082016071866147277235428675837601527024499909138224249202549254430567941036838826190208152797187473256929189526232056224879698142886063094322861446150643896926808489174619636409077738246314579706150495887985802664136065390204978295972539206002567533871510998254149202173228160838733019354589851970386801506886093793003421847561909346377607125130924238150617295779391135883965049599876454291278103989378418153177541953294799690873032854102307512745419197424817547300073271403683503088492953873075702422710269330337001901478574756207511387826887665346016371383158042723153791250198760554443814603512533758320818457295411959737946664097662768941134317008625514915664706647075372955841569806012887770215336674282290684126325372094775198600024515548118360048460275745629863172389075536732340386422161071856005854968337830276069666103207933847782716286886045912980700606641864297715054037375414355557168415261885149226769526801344313238937525218965091722595720220708462239271010648462786311556624781774682513024345953026311459415440682293035587859404017325271078286587013965332285950247324769123707943393066510426468172523004515365534537223783740619748624398925735685326213829067251169609182987223453923979870119689467461859691587347542410006279133996228970642573289346133226676644511563394826834061026706605533942080918303482326910466734075008905212068785237386371594815328289132647100845647547538685098025678022810544373246136256923912070143648444877829668019249397692623032614320738229711140813832181542039789251193616855018901613319234976161609909709751414557236173657088903447722862355090777186628016098396784240867830361387120464957418914567880464612757294882416184791066074065934401979582493699848866922620397839145703512895195864313439656930330837033467587054238579169654384293031950692749117861255799593540906809133826727675440372769710219717558187641539152978874421401723549355564022496110154954397983965067677120235557124116386212500871033272463856264509291034689429948203542113058554469556396361483711033435596087715671176491790884065397753552029584216794963188118567904301277211639086418973251081636957661962217545600495616502844041078845923547239902711549731623793875656206858645815189806516693227068755286777296434586015107635213185486414890006649228818846808281450961834954772241964672423999545593687465118115396797153023386771993012724996395614665096994492832261245197295918510338096163998516269840867943945204841346759766737007360182485582215456021848727548064875992514239104103047426715754058587470774068403630193726205429882727941995483003190070600497471605096536572481842409062090397032806874783198003554265667423151073732091213351697399785378922959406949452620072950426622763350676011680563051155086517331286615341404627390017804334718124173547916155433565101420929347902678797957859433107607468580950013390620486166329759426575457979872139949704287538466935393051317974865905233920540370554899035155158171808121506655883249764230224094854940641369714948127757077938108546585847513695081690959766709754563269150363498472310060536437656122826979888358646801799313316869299574085812230835466766110840605292967217234328256001438932723076631505574108308645885763423714247646761111615089034314838683734947267269966100538906379955008659403077127928112054348530581998460885947964243664776496361134726818486721087809015257435377918555413034449490658837188050419640492883039745891355725847715015780939941540532338181550375971917859310603285796284099341218228251658654575663231696441924984017188166213055874248315054722850548164562327571391648996235061061369738617530156861697876443168740988289316242874459754546362270992521526763985114013036792811117132924093580483183897320448320653704529126563085939826849556466720607689640968095958363413234577397661422896515255144181283778859102192084341766845573540951495994206519520095618388146886034938047845330346104882728480768084843074120984882593397703202699518755873271552850869562445669623315713742856875172677350087589821256521026167202447016853264811777705718465097424904001023240514670350808627343331935250866912133521305186538869517650468028336630470856040150313988320997487350859029314116506747277819029981070704694440314232270031213684124339503250916477819490644891842231291315463212567789751053417987493326966688887389594685768803687181901933034369127036195089195340952790938011518318385803433678502203605193948559278305810711335529025677653987413571490413642361397464372023329506033069362180353076641125899735715000364293229448534395052600188090565273555458967124965146351007876471319253007593095016437222632845501822815897188324638169843867782028413602267033393306577364034409602412331123062728637175684597461660690157390396219979988371759410558133996259931031933098169330093394988329133610487007], 'aut_phi_ratio': 6.713778409090909, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 9453, 1, 1], [3, 18632, 1, 1], [4, 18906, 1, 1], [17, 18906, 1, 8], [23, 18632, 1, 11], [34, 18906, 1, 8], [68, 18906, 1, 16], [69, 18632, 1, 22], [137, 9384, 2, 1]], 'aut_supersolvable': False, 'aut_tex': '\\PGL(2,137)', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 1285608, 'autcentquo_group': '2571216.b', 'autcentquo_hash': 1945985838632770817, 'autcentquo_nilpotent': False, 'autcentquo_order': 2571216, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\PGL(2,137)', 'cc_stats': [[1, 1, 1], [2, 9453, 1], [3, 18632, 1], [4, 18906, 1], [17, 18906, 8], [23, 18632, 11], [34, 18906, 8], [68, 18906, 16], [69, 18632, 22], [137, 9384, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': None, 'central_quotient': '1285608.a', 'commutator_count': 1, 'commutator_label': '1285608.a', 'complements_known': False, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['1285608.a'], 'composition_length': 1, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 0, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9453, 1, 1], [3, 18632, 1, 1], [4, 18906, 1, 1], [17, 18906, 8, 1], [23, 18632, 11, 1], [34, 18906, 8, 1], [68, 18906, 16, 1], [69, 18632, 22, 1], [137, 9384, 2, 1]], 'element_repr_type': 'Lie', 'elementary': 1, 'eulerian_function': None, 'exponent': 642804, 'exponents_of_order': [3, 1, 1, 1, 1], 'factors_of_aut_order': [2, 3, 17, 23, 137], 'factors_of_order': [2, 3, 17, 23, 137], 'faithful_reps': [[69, 1, 2], [136, 1, 34], [137, 1, 1], [138, 1, 33]], 'familial': True, 'frattini_label': '1.1', 'frattini_quotient': '1285608.a', 'hash': 1426004013629696392, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 642804, 'inner_gen_orders': [68, 3], 'inner_gens': [[118282241, 2410925], [346325679, 2552857]], 'inner_hash': 1426004013629696392, 'inner_nilpotent': False, 'inner_order': 1285608, 'inner_split': True, 'inner_tex': '\\PSL(2,137)', 'inner_used': [1, 2], 'irrC_degree': 69, 'irrQ_degree': 136, 'irrQ_dim': 136, 'irrR_degree': 69, 'irrep_stats': [[1, 1], [69, 2], [136, 34], [137, 1], [138, 33]], 'label': '1285608.a', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'PSL(2,137)', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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, 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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 70, 'number_characteristic_subgroups': 2, 'number_conjugacy_classes': 71, 'number_divisions': 10, 'number_normal_subgroups': 2, 'number_subgroup_autclasses': None, 'number_subgroup_classes': 31, 'number_subgroups': 875849, 'old_label': None, 'order': 1285608, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 9453], [3, 18632], [4, 18906], [17, 151248], [23, 204952], [34, 151248], [68, 302496], [69, 409904], [137, 18768]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2], 'outer_gen_pows': [88093505], 'outer_gens': [[194217750, 149513797]], 'outer_group': '2.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 2, 'outer_permdeg': 2, 'outer_perms': [1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2', 'pc_rank': None, 'perfect': True, 'permutation_degree': 138, 'pgroup': 0, 'primary_abelian_invariants': [], 'quasisimple': True, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [136, 1], [137, 1], [138, 2], [1104, 2], [1496, 1], [2208, 1], [2992, 1]], 'representations': {'Lie': [{'d': 2, 'q': 137, 'gens': [2552857, 118282241], 'family': 'PSL'}, {'d': 2, 'q': 137, 'family': 'PSU'}, {'d': 3, 'q': 137, 'family': 'Omega'}, {'d': 3, 'q': 137, 'family': 'POmega'}, {'d': 2, 'q': 137, 'family': 'PSigmaL'}], 'Perm': {'d': 138, 'gens': [350924555160523171524875336679099400234717026559154862209896589891508466597997119865913525570615869152739803976627985719319441387667142538940375593555399407360254769869847458181990202282277892806095111357077356483348022792633406788856673, 32289726311845671543889259446356905117978917243282123165407149253127994923964647261496937279459382528606257574360490052119072327152448303889741788868676500377271700028188960700236173527982848513009502226403951138651750131120493074805]}}, 'schur_multiplier': [2], 'semidirect_product': False, 'simple': True, 'smith_abelian_invariants': [], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': '\\PSL(2,137)', 'transitive_degree': 138, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 171573425
    {'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 1, 'group_order': 1285608, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1, 1, 1], 'representative': 2571354, 'size': 1}
  • id: 171573436
    {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 1, 'group_order': 1285608, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2, 2, 2], 'representative': 251291605, 'size': 9453}
  • id: 171573447
    {'aut_label': '3A', 'centralizer': None, 'counter': 3, 'group_counter': 1, 'group_order': 1285608, 'label': '3A', 'order': 3, 'powers': [3, 1, 3, 3, 3, 3], 'representative': 236146536, 'size': 18632}
  • id: 171573458
    {'aut_label': '4A', 'centralizer': None, 'counter': 4, 'group_counter': 1, 'group_order': 1285608, 'label': '4A', 'order': 4, 'powers': [2, 4, 4, 4, 4, 4], 'representative': 305232289, 'size': 18906}
  • id: 171573469
    {'aut_label': '17A1', 'centralizer': None, 'counter': 5, 'group_counter': 1, 'group_order': 1285608, 'label': '17A1', 'order': 17, 'powers': [6, 7, 10, 1, 10, 5], 'representative': 31261046, 'size': 18906}
  • id: 171573480
    {'aut_label': '17A2', 'centralizer': None, 'counter': 6, 'group_counter': 1, 'group_order': 1285608, 'label': '17A2', 'order': 17, 'powers': [8, 10, 9, 1, 9, 6], 'representative': 53985485, 'size': 18906}
  • id: 171573491
    {'aut_label': '17A3', 'centralizer': None, 'counter': 7, 'group_counter': 1, 'group_order': 1285608, 'label': '17A3', 'order': 17, 'powers': [10, 12, 5, 1, 5, 7], 'representative': 287361396, 'size': 18906}
  • id: 171573494
    {'aut_label': '17A4', 'centralizer': None, 'counter': 8, 'group_counter': 1, 'group_order': 1285608, 'label': '17A4', 'order': 17, 'powers': [12, 9, 11, 1, 11, 8], 'representative': 138293699, 'size': 18906}
  • id: 171573495
    {'aut_label': '17A5', 'centralizer': None, 'counter': 9, 'group_counter': 1, 'group_order': 1285608, 'label': '17A5', 'order': 17, 'powers': [11, 6, 8, 1, 8, 9], 'representative': 78175532, 'size': 18906}
  • id: 171573426
    {'aut_label': '17A6', 'centralizer': None, 'counter': 10, 'group_counter': 1, 'group_order': 1285608, 'label': '17A6', 'order': 17, 'powers': [9, 5, 6, 1, 6, 10], 'representative': 191732854, 'size': 18906}
  • id: 171573427
    {'aut_label': '17A7', 'centralizer': None, 'counter': 11, 'group_counter': 1, 'group_order': 1285608, 'label': '17A7', 'order': 17, 'powers': [7, 8, 12, 1, 12, 11], 'representative': 268185336, 'size': 18906}
  • id: 171573428
    {'aut_label': '17A8', 'centralizer': None, 'counter': 12, 'group_counter': 1, 'group_order': 1285608, 'label': '17A8', 'order': 17, 'powers': [5, 11, 7, 1, 7, 12], 'representative': 144933868, 'size': 18906}
  • id: 171573429
    {'aut_label': '23A1', 'centralizer': None, 'counter': 13, 'group_counter': 1, 'group_order': 1285608, 'label': '23A1', 'order': 23, 'powers': [14, 15, 23, 18, 1, 13], 'representative': 324032643, 'size': 18632}
  • id: 171573430
    {'aut_label': '23A2', 'centralizer': None, 'counter': 14, 'group_counter': 1, 'group_order': 1285608, 'label': '23A2', 'order': 23, 'powers': [16, 18, 13, 23, 1, 14], 'representative': 129579052, 'size': 18632}
  • id: 171573431
    {'aut_label': '23A3', 'centralizer': None, 'counter': 15, 'group_counter': 1, 'group_order': 1285608, 'label': '23A3', 'order': 23, 'powers': [18, 21, 22, 17, 1, 15], 'representative': 266757547, 'size': 18632}
  • id: 171573432
    {'aut_label': '23A4', 'centralizer': None, 'counter': 16, 'group_counter': 1, 'group_order': 1285608, 'label': '23A4', 'order': 23, 'powers': [20, 23, 14, 13, 1, 16], 'representative': 332620168, 'size': 18632}
  • id: 171573433
    {'aut_label': '23A5', 'centralizer': None, 'counter': 17, 'group_counter': 1, 'group_order': 1285608, 'label': '23A5', 'order': 23, 'powers': [22, 20, 21, 19, 1, 17], 'representative': 282795128, 'size': 18632}
  • id: 171573434
    {'aut_label': '23A6', 'centralizer': None, 'counter': 18, 'group_counter': 1, 'group_order': 1285608, 'label': '23A6', 'order': 23, 'powers': [23, 17, 15, 22, 1, 18], 'representative': 185849929, 'size': 18632}
  • id: 171573435
    {'aut_label': '23A7', 'centralizer': None, 'counter': 19, 'group_counter': 1, 'group_order': 1285608, 'label': '23A7', 'order': 23, 'powers': [21, 14, 20, 16, 1, 19], 'representative': 48043070, 'size': 18632}
  • id: 171573437
    {'aut_label': '23A8', 'centralizer': None, 'counter': 20, 'group_counter': 1, 'group_order': 1285608, 'label': '23A8', 'order': 23, 'powers': [19, 13, 16, 14, 1, 20], 'representative': 337421926, 'size': 18632}
  • id: 171573438
    {'aut_label': '23A9', 'centralizer': None, 'counter': 21, 'group_counter': 1, 'group_order': 1285608, 'label': '23A9', 'order': 23, 'powers': [17, 16, 19, 20, 1, 21], 'representative': 249750653, 'size': 18632}
  • id: 171573439
    {'aut_label': '23A10', 'centralizer': None, 'counter': 22, 'group_counter': 1, 'group_order': 1285608, 'label': '23A10', 'order': 23, 'powers': [15, 19, 17, 21, 1, 22], 'representative': 245397330, 'size': 18632}
  • id: 171573440
    {'aut_label': '23A11', 'centralizer': None, 'counter': 23, 'group_counter': 1, 'group_order': 1285608, 'label': '23A11', 'order': 23, 'powers': [13, 22, 18, 15, 1, 23], 'representative': 149061587, 'size': 18632}
  • id: 171573441
    {'aut_label': '34A1', 'centralizer': None, 'counter': 24, 'group_counter': 1, 'group_order': 1285608, 'label': '34A1', 'order': 34, 'powers': [5, 25, 29, 2, 29, 24], 'representative': 127995335, 'size': 18906}
  • id: 171573442
    {'aut_label': '34A3', 'centralizer': None, 'counter': 25, 'group_counter': 1, 'group_order': 1285608, 'label': '34A3', 'order': 34, 'powers': [7, 28, 24, 2, 24, 25], 'representative': 48425031, 'size': 18906}
  • id: 171573443
    {'aut_label': '34A5', 'centralizer': None, 'counter': 26, 'group_counter': 1, 'group_order': 1285608, 'label': '34A5', 'order': 34, 'powers': [9, 31, 30, 2, 30, 26], 'representative': 231324991, 'size': 18906}
  • id: 171573444
    {'aut_label': '34A7', 'centralizer': None, 'counter': 27, 'group_counter': 1, 'group_order': 1285608, 'label': '34A7', 'order': 34, 'powers': [11, 30, 28, 2, 28, 27], 'representative': 151034832, 'size': 18906}
  • id: 171573445
    {'aut_label': '34A9', 'centralizer': None, 'counter': 28, 'group_counter': 1, 'group_order': 1285608, 'label': '34A9', 'order': 34, 'powers': [12, 27, 25, 2, 25, 28], 'representative': 55393342, 'size': 18906}
  • id: 171573446
    {'aut_label': '34A11', 'centralizer': None, 'counter': 29, 'group_counter': 1, 'group_order': 1285608, 'label': '34A11', 'order': 34, 'powers': [10, 24, 31, 2, 31, 29], 'representative': 153567205, 'size': 18906}
  • id: 171573448
    {'aut_label': '34A13', 'centralizer': None, 'counter': 30, 'group_counter': 1, 'group_order': 1285608, 'label': '34A13', 'order': 34, 'powers': [8, 26, 27, 2, 27, 30], 'representative': 267021838, 'size': 18906}
  • id: 171573449
    {'aut_label': '34A15', 'centralizer': None, 'counter': 31, 'group_counter': 1, 'group_order': 1285608, 'label': '34A15', 'order': 34, 'powers': [6, 29, 26, 2, 26, 31], 'representative': 121373936, 'size': 18906}
  • id: 171573450
    {'aut_label': '68A1', 'centralizer': None, 'counter': 32, 'group_counter': 1, 'group_order': 1285608, 'label': '68A1', 'order': 68, 'powers': [24, 33, 37, 4, 42, 32], 'representative': 344522317, 'size': 18906}
  • id: 171573451
    {'aut_label': '68A3', 'centralizer': None, 'counter': 33, 'group_counter': 1, 'group_order': 1285608, 'label': '68A3', 'order': 68, 'powers': [25, 36, 47, 4, 32, 33], 'representative': 21477159, 'size': 18906}
  • id: 171573452
    {'aut_label': '68A5', 'centralizer': None, 'counter': 34, 'group_counter': 1, 'group_order': 1285608, 'label': '68A5', 'order': 68, 'powers': [26, 39, 38, 4, 41, 34], 'representative': 13030294, 'size': 18906}
  • id: 171573453
    {'aut_label': '68A7', 'centralizer': None, 'counter': 35, 'group_counter': 1, 'group_order': 1285608, 'label': '68A7', 'order': 68, 'powers': [27, 41, 36, 4, 43, 35], 'representative': 114521399, 'size': 18906}
  • id: 171573454
    {'aut_label': '68A9', 'centralizer': None, 'counter': 36, 'group_counter': 1, 'group_order': 1285608, 'label': '68A9', 'order': 68, 'powers': [28, 44, 46, 4, 33, 36], 'representative': 179679722, 'size': 18906}
  • id: 171573455
    {'aut_label': '68A11', 'centralizer': None, 'counter': 37, 'group_counter': 1, 'group_order': 1285608, 'label': '68A11', 'order': 68, 'powers': [29, 47, 39, 4, 40, 37], 'representative': 312226496, 'size': 18906}
  • id: 171573456
    {'aut_label': '68A13', 'centralizer': None, 'counter': 38, 'group_counter': 1, 'group_order': 1285608, 'label': '68A13', 'order': 68, 'powers': [30, 45, 35, 4, 44, 38], 'representative': 180830272, 'size': 18906}
  • id: 171573457
    {'aut_label': '68A15', 'centralizer': None, 'counter': 39, 'group_counter': 1, 'group_order': 1285608, 'label': '68A15', 'order': 68, 'powers': [31, 42, 45, 4, 34, 39], 'representative': 71914128, 'size': 18906}
  • id: 171573459
    {'aut_label': '68A19', 'centralizer': None, 'counter': 40, 'group_counter': 1, 'group_order': 1285608, 'label': '68A19', 'order': 68, 'powers': [31, 37, 34, 4, 45, 40], 'representative': 195570258, 'size': 18906}
  • id: 171573460
    {'aut_label': '68A21', 'centralizer': None, 'counter': 41, 'group_counter': 1, 'group_order': 1285608, 'label': '68A21', 'order': 68, 'powers': [30, 34, 44, 4, 35, 41], 'representative': 104319766, 'size': 18906}
  • id: 171573461
    {'aut_label': '68A23', 'centralizer': None, 'counter': 42, 'group_counter': 1, 'group_order': 1285608, 'label': '68A23', 'order': 68, 'powers': [29, 32, 40, 4, 39, 42], 'representative': 209243751, 'size': 18906}
  • id: 171573462
    {'aut_label': '68A25', 'centralizer': None, 'counter': 43, 'group_counter': 1, 'group_order': 1285608, 'label': '68A25', 'order': 68, 'powers': [28, 35, 33, 4, 46, 43], 'representative': 231697936, 'size': 18906}
  • id: 171573463
    {'aut_label': '68A27', 'centralizer': None, 'counter': 44, 'group_counter': 1, 'group_order': 1285608, 'label': '68A27', 'order': 68, 'powers': [27, 38, 43, 4, 36, 44], 'representative': 87155780, 'size': 18906}
  • id: 171573464
    {'aut_label': '68A29', 'centralizer': None, 'counter': 45, 'group_counter': 1, 'group_order': 1285608, 'label': '68A29', 'order': 68, 'powers': [26, 40, 41, 4, 38, 45], 'representative': 265485397, 'size': 18906}
  • id: 171573465
    {'aut_label': '68A31', 'centralizer': None, 'counter': 46, 'group_counter': 1, 'group_order': 1285608, 'label': '68A31', 'order': 68, 'powers': [25, 43, 32, 4, 47, 46], 'representative': 190813579, 'size': 18906}
  • id: 171573466
    {'aut_label': '68A33', 'centralizer': None, 'counter': 47, 'group_counter': 1, 'group_order': 1285608, 'label': '68A33', 'order': 68, 'powers': [24, 46, 42, 4, 37, 47], 'representative': 152314104, 'size': 18906}
  • id: 171573467
    {'aut_label': '69A1', 'centralizer': None, 'counter': 48, 'group_counter': 1, 'group_order': 1285608, 'label': '69A1', 'order': 69, 'powers': [49, 13, 55, 59, 3, 48], 'representative': 337069204, 'size': 18632}
  • id: 171573468
    {'aut_label': '69A2', 'centralizer': None, 'counter': 49, 'group_counter': 1, 'group_order': 1285608, 'label': '69A2', 'order': 69, 'powers': [50, 14, 62, 69, 3, 49], 'representative': 118814797, 'size': 18632}
  • id: 171573470
    {'aut_label': '69A4', 'centralizer': None, 'counter': 50, 'group_counter': 1, 'group_order': 1285608, 'label': '69A4', 'order': 69, 'powers': [53, 16, 63, 48, 3, 50], 'representative': 47391574, 'size': 18632}
  • id: 171573471
    {'aut_label': '69A5', 'centralizer': None, 'counter': 51, 'group_counter': 1, 'group_order': 1285608, 'label': '69A5', 'order': 69, 'powers': [54, 17, 57, 58, 3, 51], 'representative': 335992542, 'size': 18632}
  • id: 171573472
    {'aut_label': '69A7', 'centralizer': None, 'counter': 52, 'group_counter': 1, 'group_order': 1285608, 'label': '69A7', 'order': 69, 'powers': [57, 19, 53, 60, 3, 52], 'representative': 185508842, 'size': 18632}
  • id: 171573473
    {'aut_label': '69A8', 'centralizer': None, 'counter': 53, 'group_counter': 1, 'group_order': 1285608, 'label': '69A8', 'order': 69, 'powers': [58, 20, 60, 49, 3, 53], 'representative': 184366871, 'size': 18632}
  • id: 171573474
    {'aut_label': '69A10', 'centralizer': None, 'counter': 54, 'group_counter': 1, 'group_order': 1285608, 'label': '69A10', 'order': 69, 'powers': [61, 22, 65, 68, 3, 54], 'representative': 72637910, 'size': 18632}
  • id: 171573475
    {'aut_label': '69A11', 'centralizer': None, 'counter': 55, 'group_counter': 1, 'group_order': 1285608, 'label': '69A11', 'order': 69, 'powers': [62, 23, 59, 61, 3, 55], 'representative': 289175657, 'size': 18632}
  • id: 171573476
    {'aut_label': '69A13', 'centralizer': None, 'counter': 56, 'group_counter': 1, 'group_order': 1285608, 'label': '69A13', 'order': 69, 'powers': [64, 22, 51, 57, 3, 56], 'representative': 21306543, 'size': 18632}
  • id: 171573477
    {'aut_label': '69A14', 'centralizer': None, 'counter': 57, 'group_counter': 1, 'group_order': 1285608, 'label': '69A14', 'order': 69, 'powers': [65, 21, 58, 67, 3, 57], 'representative': 289600822, 'size': 18632}
  • id: 171573478
    {'aut_label': '69A16', 'centralizer': None, 'counter': 58, 'group_counter': 1, 'group_order': 1285608, 'label': '69A16', 'order': 69, 'powers': [68, 19, 67, 50, 3, 58], 'representative': 89250043, 'size': 18632}
  • id: 171573479
    {'aut_label': '69A17', 'centralizer': None, 'counter': 59, 'group_counter': 1, 'group_order': 1285608, 'label': '69A17', 'order': 69, 'powers': [69, 18, 61, 56, 3, 59], 'representative': 170743986, 'size': 18632}
  • id: 171573481
    {'aut_label': '69A19', 'centralizer': None, 'counter': 60, 'group_counter': 1, 'group_order': 1285608, 'label': '69A19', 'order': 69, 'powers': [67, 16, 49, 62, 3, 60], 'representative': 129740211, 'size': 18632}
  • id: 171573482
    {'aut_label': '69A20', 'centralizer': None, 'counter': 61, 'group_counter': 1, 'group_order': 1285608, 'label': '69A20', 'order': 69, 'powers': [66, 15, 56, 51, 3, 61], 'representative': 335609553, 'size': 18632}
  • id: 171573483
    {'aut_label': '69A22', 'centralizer': None, 'counter': 62, 'group_counter': 1, 'group_order': 1285608, 'label': '69A22', 'order': 69, 'powers': [63, 13, 69, 66, 3, 62], 'representative': 325802976, 'size': 18632}
  • id: 171573484
    {'aut_label': '69A25', 'centralizer': None, 'counter': 63, 'group_counter': 1, 'group_order': 1285608, 'label': '69A25', 'order': 69, 'powers': [60, 14, 48, 55, 3, 63], 'representative': 351976449, 'size': 18632}
  • id: 171573485
    {'aut_label': '69A26', 'centralizer': None, 'counter': 64, 'group_counter': 1, 'group_order': 1285608, 'label': '69A26', 'order': 69, 'powers': [59, 15, 54, 65, 3, 64], 'representative': 55374143, 'size': 18632}
  • id: 171573486
    {'aut_label': '69A28', 'centralizer': None, 'counter': 65, 'group_counter': 1, 'group_order': 1285608, 'label': '69A28', 'order': 69, 'powers': [56, 17, 68, 52, 3, 65], 'representative': 81279109, 'size': 18632}
  • id: 171573487
    {'aut_label': '69A29', 'centralizer': None, 'counter': 66, 'group_counter': 1, 'group_order': 1285608, 'label': '69A29', 'order': 69, 'powers': [55, 18, 64, 54, 3, 66], 'representative': 36562010, 'size': 18632}
  • id: 171573488
    {'aut_label': '69A31', 'centralizer': None, 'counter': 67, 'group_counter': 1, 'group_order': 1285608, 'label': '69A31', 'order': 69, 'powers': [52, 20, 50, 63, 3, 67], 'representative': 175713900, 'size': 18632}
  • id: 171573489
    {'aut_label': '69A32', 'centralizer': None, 'counter': 68, 'group_counter': 1, 'group_order': 1285608, 'label': '69A32', 'order': 69, 'powers': [51, 21, 52, 53, 3, 68], 'representative': 305082620, 'size': 18632}
  • id: 171573490
    {'aut_label': '69A34', 'centralizer': None, 'counter': 69, 'group_counter': 1, 'group_order': 1285608, 'label': '69A34', 'order': 69, 'powers': [48, 23, 66, 64, 3, 69], 'representative': 219055564, 'size': 18632}
  • id: 171573492
    {'aut_label': '137A1', 'centralizer': None, 'counter': 70, 'group_counter': 1, 'group_order': 1285608, 'label': '137A1', 'order': 137, 'powers': [70, 71, 70, 70, 71, 1], 'representative': 194729946, 'size': 9384}
  • id: 171573493
    {'aut_label': '137A1', 'centralizer': None, 'counter': 71, 'group_counter': 1, 'group_order': 1285608, 'label': '137A3', 'order': 137, 'powers': [71, 70, 71, 71, 70, 1], 'representative': 133236694, 'size': 9384}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 17311707
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1285608.a', 'group_order': 1285608, 'image': None, 'label': '1285608.a.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 17311710
    {'cdim': 136, 'counter': 3, 'faithful': True, 'group': '1285608.a', 'group_order': 1285608, 'image': None, 'label': '1285608.a.136a', 'multiplicity': 1, 'nt': [9316, 0], 'qdim': 136, 'qvalues': [136, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 17311713
    {'cdim': 137, 'counter': 6, 'faithful': True, 'group': '1285608.a', 'group_order': 1285608, 'image': None, 'label': '1285608.a.137a', 'multiplicity': 1, 'nt': [138, 0], 'qdim': 137, 'qvalues': [137, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0], 'schur_index': 1}
  • id: 17311709
    {'cdim': 69, 'counter': 2, 'faithful': True, 'group': '1285608.a', 'group_order': 1285608, 'image': None, 'label': '1285608.a.69a', 'multiplicity': 2, 'nt': [276, 0], 'qdim': 138, 'qvalues': [138, 2, 0, -2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], 'schur_index': 1}
  • id: 17311714
    {'cdim': 138, 'counter': 7, 'faithful': True, 'group': '1285608.a', 'group_order': 1285608, 'image': None, 'label': '1285608.a.138a', 'multiplicity': 1, 'nt': [552, 0], 'qdim': 138, 'qvalues': [138, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 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, 0, 0, 0, 0, 0, 0, 0, 1, 1], 'schur_index': 1}
  • id: 17311715
    {'cdim': 138, 'counter': 8, 'faithful': True, 'group': '1285608.a', 'group_order': 1285608, 'image': None, 'label': '1285608.a.138b', 'multiplicity': 8, 'nt': [2346, 0], 'qdim': 1104, 'qvalues': [1104, 16, 0, 16, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], 'schur_index': 1}
  • id: 17311716
    {'cdim': 138, 'counter': 9, 'faithful': True, 'group': '1285608.a', 'group_order': 1285608, 'image': None, 'label': '1285608.a.138c', 'multiplicity': 8, 'nt': [4692, 0], 'qdim': 1104, 'qvalues': [1104, 16, 0, -16, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], 'schur_index': 1}
  • id: 17311711
    {'cdim': 136, 'counter': 4, 'faithful': True, 'group': '1285608.a', 'group_order': 1285608, 'image': None, 'label': '1285608.a.136b', 'multiplicity': 11, 'nt': [9316, 0], 'qdim': 1496, 'qvalues': [1496, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -11, -11], 'schur_index': 1}
  • id: 17311708
    {'cdim': 138, 'counter': 10, 'faithful': True, 'group': '1285608.a', 'group_order': 1285608, 'image': None, 'label': '1285608.a.138d', 'multiplicity': 16, 'nt': [9384, 0], 'qdim': 2208, 'qvalues': [2208, -32, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 16, 16], 'schur_index': 1}
  • id: 17311712
    {'cdim': 136, 'counter': 5, 'faithful': True, 'group': '1285608.a', 'group_order': 1285608, 'image': None, 'label': '1285608.a.136c', 'multiplicity': 22, 'nt': [9316, 0], 'qdim': 2992, 'qvalues': [2992, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -22, -22], 'schur_index': 1}
• gps_char •

  Column	Type
  center	text
  center_index	numeric
  center_order	numeric
  counter	smallint
  cyclotomic_n	integer
  dim	integer
  faithful	boolean
  field	numeric[]
  group	text
  group_counter	integer
  group_order	numeric
  image	text
  image_isoclass	text
  image_order	numeric
  indicator	smallint
  kernel	text
  kernel_order	numeric
  label	text
  nt	integer[]
  q_character	text
  values	jsonb

  
  
  • id: 37933515
    {'center': None, 'center_index': 1, 'center_order': 1285608, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': None, 'kernel_order': 1285608, 'label': '1285608.a.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933526
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 2, 'cyclotomic_n': 137, 'dim': 69, 'faithful': True, 'field': [-34, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.69a1', 'nt': [276, 0], 'q_character': None, 'values': [[[69, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 10], [1, 12], [1, 13], [1, 20], [1, 21], [1, 23], [1, 24], [1, 26], [1, 27], [1, 29], [1, 31], [1, 33], [1, 35], [1, 40], [1, 41], [1, 42], [1, 43], [1, 45], [1, 46], [1, 47], [1, 48], [1, 51], [1, 52], [1, 53], [1, 54], [1, 55], [1, 57], [1, 58], [1, 62], [1, 66], [1, 67], [1, -67], [1, -66], [1, -62], [1, -58], [1, -57], [1, -55], [1, -54], [1, -53], [1, -52], [1, -51], [1, -48], [1, -47], [1, -46], [1, -45], [1, -43], [1, -42], [1, -41], [1, -40], [1, -35], [1, -33], [1, -31], [1, -29], [1, -27], [1, -26], [1, -24], [1, -23], [1, -21], [1, -20], [1, -13], [1, -12], [1, -10], [1, -6], [1, -5], [1, -3]], [[-1, 3], [-1, 5], [-1, 6], [-1, 10], [-1, 12], [-1, 13], [-1, 20], [-1, 21], [-1, 23], [-1, 24], [-1, 26], [-1, 27], [-1, 29], [-1, 31], [-1, 33], [-1, 35], [-1, 40], [-1, 41], [-1, 42], [-1, 43], [-1, 45], [-1, 46], [-1, 47], [-1, 48], [-1, 51], [-1, 52], [-1, 53], [-1, 54], [-1, 55], [-1, 57], [-1, 58], [-1, 62], [-1, 66], [-1, 67], [-1, -67], [-1, -66], [-1, -62], [-1, -58], [-1, -57], [-1, -55], [-1, -54], [-1, -53], [-1, -52], [-1, -51], [-1, -48], [-1, -47], [-1, -46], [-1, -45], [-1, -43], [-1, -42], [-1, -41], [-1, -40], [-1, -35], [-1, -33], [-1, -31], [-1, -29], [-1, -27], [-1, -26], [-1, -24], [-1, -23], [-1, -21], [-1, -20], [-1, -13], [-1, -12], [-1, -10], [-1, -6], [-1, -5], [-1, -3]]]}
  • id: 37933537
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 3, 'cyclotomic_n': 137, 'dim': 69, 'faithful': True, 'field': [-34, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.69a2', 'nt': [276, 0], 'q_character': None, 'values': [[[69, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, 5], [-1, 6], [-1, 10], [-1, 12], [-1, 13], [-1, 20], [-1, 21], [-1, 23], [-1, 24], [-1, 26], [-1, 27], [-1, 29], [-1, 31], [-1, 33], [-1, 35], [-1, 40], [-1, 41], [-1, 42], [-1, 43], [-1, 45], [-1, 46], [-1, 47], [-1, 48], [-1, 51], [-1, 52], [-1, 53], [-1, 54], [-1, 55], [-1, 57], [-1, 58], [-1, 62], [-1, 66], [-1, 67], [-1, -67], [-1, -66], [-1, -62], [-1, -58], [-1, -57], [-1, -55], [-1, -54], [-1, -53], [-1, -52], [-1, -51], [-1, -48], [-1, -47], [-1, -46], [-1, -45], [-1, -43], [-1, -42], [-1, -41], [-1, -40], [-1, -35], [-1, -33], [-1, -31], [-1, -29], [-1, -27], [-1, -26], [-1, -24], [-1, -23], [-1, -21], [-1, -20], [-1, -13], [-1, -12], [-1, -10], [-1, -6], [-1, -5], [-1, -3]], [[1, 0], [1, 3], [1, 5], [1, 6], [1, 10], [1, 12], [1, 13], [1, 20], [1, 21], [1, 23], [1, 24], [1, 26], [1, 27], [1, 29], [1, 31], [1, 33], [1, 35], [1, 40], [1, 41], [1, 42], [1, 43], [1, 45], [1, 46], [1, 47], [1, 48], [1, 51], [1, 52], [1, 53], [1, 54], [1, 55], [1, 57], [1, 58], [1, 62], [1, 66], [1, 67], [1, -67], [1, -66], [1, -62], [1, -58], [1, -57], [1, -55], [1, -54], [1, -53], [1, -52], [1, -51], [1, -48], [1, -47], [1, -46], [1, -45], [1, -43], [1, -42], [1, -41], [1, -40], [1, -35], [1, -33], [1, -31], [1, -29], [1, -27], [1, -26], [1, -24], [1, -23], [1, -21], [1, -20], [1, -13], [1, -12], [1, -10], [1, -6], [1, -5], [1, -3]]]}
  • id: 37933548
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 4, 'cyclotomic_n': 1, 'dim': 136, 'faithful': True, 'field': [0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136a', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933559
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 5, 'cyclotomic_n': 23, 'dim': 136, 'faithful': True, 'field': [1, -6, -15, 35, 35, -56, -28, 36, 9, -10, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136b1', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933520
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 14, 'cyclotomic_n': 23, 'dim': 136, 'faithful': True, 'field': [1, -6, -15, 35, 35, -56, -28, 36, 9, -10, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136b10', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933521
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 15, 'cyclotomic_n': 23, 'dim': 136, 'faithful': True, 'field': [1, -6, -15, 35, 35, -56, -28, 36, 9, -10, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136b11', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933570
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 6, 'cyclotomic_n': 23, 'dim': 136, 'faithful': True, 'field': [1, -6, -15, 35, 35, -56, -28, 36, 9, -10, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136b2', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933581
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 7, 'cyclotomic_n': 23, 'dim': 136, 'faithful': True, 'field': [1, -6, -15, 35, 35, -56, -28, 36, 9, -10, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136b3', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933584
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 8, 'cyclotomic_n': 23, 'dim': 136, 'faithful': True, 'field': [1, -6, -15, 35, 35, -56, -28, 36, 9, -10, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136b4', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 11], [-1, -11]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933585
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 9, 'cyclotomic_n': 23, 'dim': 136, 'faithful': True, 'field': [1, -6, -15, 35, 35, -56, -28, 36, 9, -10, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136b5', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933516
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 10, 'cyclotomic_n': 23, 'dim': 136, 'faithful': True, 'field': [1, -6, -15, 35, 35, -56, -28, 36, 9, -10, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136b6', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933517
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 11, 'cyclotomic_n': 23, 'dim': 136, 'faithful': True, 'field': [1, -6, -15, 35, 35, -56, -28, 36, 9, -10, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136b7', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933518
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 12, 'cyclotomic_n': 23, 'dim': 136, 'faithful': True, 'field': [1, -6, -15, 35, 35, -56, -28, 36, 9, -10, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136b8', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 11], [-1, -11]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 9], [-1, -9]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933519
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 13, 'cyclotomic_n': 23, 'dim': 136, 'faithful': True, 'field': [1, -6, -15, 35, 35, -56, -28, 36, 9, -10, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136b9', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933522
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 16, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c1', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 18], [-1, -18]], [[-1, 21], [-1, -21]], [[-1, 24], [-1, -24]], [[-1, 27], [-1, -27]], [[-1, 30], [-1, -30]], [[-1, 33], [-1, -33]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[-1, 17], [-1, -17]], [[-1, 19], [-1, -19]], [[-1, 20], [-1, -20]], [[-1, 22], [-1, -22]], [[-1, 25], [-1, -25]], [[-1, 26], [-1, -26]], [[-1, 28], [-1, -28]], [[-1, 29], [-1, -29]], [[-1, 31], [-1, -31]], [[-1, 32], [-1, -32]], [[-1, 34], [-1, -34]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933532
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 25, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c10', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 15], [-1, -15]], [[-1, 30], [-1, -30]], [[-1, 24], [-1, -24]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 21], [-1, -21]], [[-1, 33], [-1, -33]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 27], [-1, -27]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 28], [-1, -28]], [[-1, 13], [-1, -13]], [[-1, 26], [-1, -26]], [[-1, 2], [-1, -2]], [[-1, 11], [-1, -11]], [[-1, 17], [-1, -17]], [[-1, 4], [-1, -4]], [[-1, 32], [-1, -32]], [[-1, 19], [-1, -19]], [[-1, 22], [-1, -22]], [[-1, 34], [-1, -34]], [[-1, 7], [-1, -7]], [[-1, 20], [-1, -20]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 31], [-1, -31]], [[-1, 25], [-1, -25]], [[-1, 16], [-1, -16]], [[-1, 29], [-1, -29]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933533
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 26, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c11', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 33], [-1, -33]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 21], [-1, -21]], [[-1, 30], [-1, -30]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 17], [-1, -17]], [[-1, 34], [-1, -34]], [[-1, 1], [-1, -1]], [[-1, 16], [-1, -16]], [[-1, 19], [-1, -19]], [[-1, 2], [-1, -2]], [[-1, 32], [-1, -32]], [[-1, 20], [-1, -20]], [[-1, 14], [-1, -14]], [[-1, 31], [-1, -31]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 22], [-1, -22]], [[-1, 5], [-1, -5]], [[-1, 29], [-1, -29]], [[-1, 11], [-1, -11]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 10], [-1, -10]], [[-1, 25], [-1, -25]], [[-1, 8], [-1, -8]], [[-1, 26], [-1, -26]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933534
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 27, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c12', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 33], [-1, -33]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 21], [-1, -21]], [[-1, 30], [-1, -30]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 29], [-1, -29]], [[-1, 11], [-1, -11]], [[-1, 22], [-1, -22]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 25], [-1, -25]], [[-1, 14], [-1, -14]], [[-1, 26], [-1, -26]], [[-1, 32], [-1, -32]], [[-1, 8], [-1, -8]], [[-1, 19], [-1, -19]], [[-1, 10], [-1, -10]], [[-1, 1], [-1, -1]], [[-1, 28], [-1, -28]], [[-1, 17], [-1, -17]], [[-1, 34], [-1, -34]], [[-1, 5], [-1, -5]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[-1, 2], [-1, -2]], [[-1, 31], [-1, -31]], [[-1, 20], [-1, -20]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933535
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 28, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c13', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 21], [-1, -21]], [[-1, 27], [-1, -27]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 33], [-1, -33]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 24], [-1, -24]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 34], [-1, -34]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 22], [-1, -22]], [[-1, 29], [-1, -29]], [[-1, 26], [-1, -26]], [[-1, 19], [-1, -19]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 32], [-1, -32]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, -11]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 17], [-1, -17]], [[-1, 31], [-1, -31]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933536
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 29, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c14', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 21], [-1, -21]], [[-1, 27], [-1, -27]], [[-1, 6], [-1, -6]], [[-1, 15], [-1, -15]], [[-1, 33], [-1, -33]], [[-1, 12], [-1, -12]], [[-1, 9], [-1, -9]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 24], [-1, -24]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[-1, 32], [-1, -32]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[-1, 31], [-1, -31]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, -28]], [[-1, 25], [-1, -25]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[-1, 34], [-1, -34]], [[-1, 19], [-1, -19]], [[-1, 13], [-1, -13]], [[-1, 29], [-1, -29]], [[-1, 8], [-1, -8]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933538
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 30, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c15', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, -24]], [[-1, 21], [-1, -21]], [[-1, 3], [-1, -3]], [[-1, 27], [-1, -27]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 33], [-1, -33]], [[-1, 12], [-1, -12]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 32], [-1, -32]], [[-1, 29], [-1, -29]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 34], [-1, -34]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, -22]], [[-1, 31], [-1, -31]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 17], [-1, -17]], [[-1, 25], [-1, -25]], [[-1, 28], [-1, -28]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, -4]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933539
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 31, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c16', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, -24]], [[-1, 21], [-1, -21]], [[-1, 3], [-1, -3]], [[-1, 27], [-1, -27]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 33], [-1, -33]], [[-1, 12], [-1, -12]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 31], [-1, -31]], [[-1, 7], [-1, -7]], [[-1, 14], [-1, -14]], [[-1, 17], [-1, -17]], [[-1, 10], [-1, -10]], [[-1, 28], [-1, -28]], [[-1, 34], [-1, -34]], [[-1, 4], [-1, -4]], [[-1, 11], [-1, -11]], [[-1, 20], [-1, -20]], [[-1, 13], [-1, -13]], [[-1, 25], [-1, -25]], [[-1, 32], [-1, -32]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 22], [-1, -22]], [[-1, 29], [-1, -29]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 26], [-1, -26]], [[-1, 19], [-1, -19]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933540
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 32, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c17', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 27], [-1, -27]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 30], [-1, -30]], [[-1, 3], [-1, -3]], [[-1, 24], [-1, -24]], [[-1, 18], [-1, -18]], [[-1, 9], [-1, -9]], [[-1, 33], [-1, -33]], [[-1, 6], [-1, -6]], [[-1, 21], [-1, -21]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 29], [-1, -29]], [[-1, 26], [-1, -26]], [[-1, 2], [-1, -2]], [[-1, 16], [-1, -16]], [[-1, 25], [-1, -25]], [[-1, 11], [-1, -11]], [[-1, 17], [-1, -17]], [[-1, 31], [-1, -31]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 32], [-1, -32]], [[-1, 5], [-1, -5]], [[-1, 19], [-1, -19]], [[-1, 22], [-1, -22]], [[-1, 8], [-1, -8]], [[-1, 20], [-1, -20]], [[-1, 34], [-1, -34]], [[-1, 7], [-1, -7]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933541
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 33, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c18', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 27], [-1, -27]], [[-1, 15], [-1, -15]], [[-1, 12], [-1, -12]], [[-1, 30], [-1, -30]], [[-1, 3], [-1, -3]], [[-1, 24], [-1, -24]], [[-1, 18], [-1, -18]], [[-1, 9], [-1, -9]], [[-1, 33], [-1, -33]], [[-1, 6], [-1, -6]], [[-1, 21], [-1, -21]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 32], [-1, -32]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, -22]], [[-1, 17], [-1, -17]], [[-1, 20], [-1, -20]], [[-1, 25], [-1, -25]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 34], [-1, -34]], [[-1, 29], [-1, -29]], [[-1, 8], [-1, -8]], [[-1, 13], [-1, -13]], [[-1, 19], [-1, -19]], [[-1, 14], [-1, -14]], [[-1, 28], [-1, -28]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 31], [-1, -31]], [[-1, 26], [-1, -26]], [[-1, 11], [-1, -11]], [[-1, 16], [-1, -16]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933542
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 34, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c19', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[-1, 9], [-1, -9]], [[-1, 21], [-1, -21]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[-1, 27], [-1, -27]], [[-1, 3], [-1, -3]], [[-1, 33], [-1, -33]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[-1, 15], [-1, -15]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[-1, 29], [-1, -29]], [[-1, 19], [-1, -19]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 31], [-1, -31]], [[-1, 28], [-1, -28]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 32], [-1, -32]], [[-1, 17], [-1, -17]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 26], [-1, -26]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 14], [-1, -14]], [[-1, 34], [-1, -34]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, -5]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933523
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 17, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c2', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 12], [-1, -12]], [[-1, 15], [-1, -15]], [[-1, 18], [-1, -18]], [[-1, 21], [-1, -21]], [[-1, 24], [-1, -24]], [[-1, 27], [-1, -27]], [[-1, 30], [-1, -30]], [[-1, 33], [-1, -33]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 22], [-1, -22]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[-1, 28], [-1, -28]], [[-1, 16], [-1, -16]], [[-1, 31], [-1, -31]], [[-1, 13], [-1, -13]], [[-1, 34], [-1, -34]], [[-1, 10], [-1, -10]], [[-1, 32], [-1, -32]], [[-1, 7], [-1, -7]], [[-1, 29], [-1, -29]], [[-1, 4], [-1, -4]], [[-1, 26], [-1, -26]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 20], [-1, -20]], [[-1, 5], [-1, -5]], [[-1, 17], [-1, -17]], [[-1, 8], [-1, -8]], [[-1, 14], [-1, -14]], [[-1, 11], [-1, -11]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933543
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 35, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c20', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[-1, 9], [-1, -9]], [[-1, 21], [-1, -21]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[-1, 27], [-1, -27]], [[-1, 3], [-1, -3]], [[-1, 33], [-1, -33]], [[-1, 6], [-1, -6]], [[-1, 24], [-1, -24]], [[-1, 15], [-1, -15]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, -13]], [[-1, 26], [-1, -26]], [[-1, 17], [-1, -17]], [[-1, 4], [-1, -4]], [[-1, 22], [-1, -22]], [[-1, 34], [-1, -34]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 31], [-1, -31]], [[-1, 25], [-1, -25]], [[-1, 1], [-1, -1]], [[-1, 14], [-1, -14]], [[-1, 29], [-1, -29]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[-1, 7], [-1, -7]], [[-1, 19], [-1, -19]], [[-1, 32], [-1, -32]], [[-1, 11], [-1, -11]], [[-1, 2], [-1, -2]], [[-1, 28], [-1, -28]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933544
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 36, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c21', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 33], [-1, -33]], [[-1, 3], [-1, -3]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[-1, 21], [-1, -21]], [[-1, 15], [-1, -15]], [[-1, 18], [-1, -18]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 11], [-1, -11]], [[-1, 22], [-1, -22]], [[-1, 25], [-1, -25]], [[-1, 14], [-1, -14]], [[-1, 8], [-1, -8]], [[-1, 19], [-1, -19]], [[-1, 28], [-1, -28]], [[-1, 17], [-1, -17]], [[-1, 5], [-1, -5]], [[-1, 16], [-1, -16]], [[-1, 31], [-1, -31]], [[-1, 20], [-1, -20]], [[-1, 2], [-1, -2]], [[-1, 13], [-1, -13]], [[-1, 34], [-1, -34]], [[-1, 1], [-1, -1]], [[-1, 10], [-1, -10]], [[-1, 32], [-1, -32]], [[-1, 26], [-1, -26]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 29], [-1, -29]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933545
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 37, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c22', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 33], [-1, -33]], [[-1, 3], [-1, -3]], [[-1, 30], [-1, -30]], [[-1, 6], [-1, -6]], [[-1, 27], [-1, -27]], [[-1, 9], [-1, -9]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, -12]], [[-1, 21], [-1, -21]], [[-1, 15], [-1, -15]], [[-1, 18], [-1, -18]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 34], [-1, -34]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 32], [-1, -32]], [[-1, 31], [-1, -31]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 29], [-1, -29]], [[-1, 28], [-1, -28]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 26], [-1, -26]], [[-1, 25], [-1, -25]], [[-1, 10], [-1, -10]], [[-1, 11], [-1, -11]], [[-1, 22], [-1, -22]], [[-1, 13], [-1, -13]], [[-1, 14], [-1, -14]], [[-1, 20], [-1, -20]], [[-1, 19], [-1, -19]], [[-1, 16], [-1, -16]], [[-1, 17], [-1, -17]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933524
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 18, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c3', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 18], [-1, -18]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[-1, 33], [-1, -33]], [[-1, 27], [-1, -27]], [[-1, 21], [-1, -21]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 16], [-1, -16]], [[-1, 20], [-1, -20]], [[-1, 22], [-1, -22]], [[-1, 26], [-1, -26]], [[-1, 28], [-1, -28]], [[-1, 32], [-1, -32]], [[-1, 34], [-1, -34]], [[-1, 31], [-1, -31]], [[-1, 29], [-1, -29]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933525
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 19, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c4', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[-1, 18], [-1, -18]], [[-1, 24], [-1, -24]], [[-1, 30], [-1, -30]], [[-1, 33], [-1, -33]], [[-1, 27], [-1, -27]], [[-1, 21], [-1, -21]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 25], [-1, -25]], [[-1, 19], [-1, -19]], [[-1, 31], [-1, -31]], [[-1, 13], [-1, -13]], [[-1, 32], [-1, -32]], [[-1, 7], [-1, -7]], [[-1, 26], [-1, -26]], [[-1, 1], [-1, -1]], [[-1, 20], [-1, -20]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 11], [-1, -11]], [[-1, 8], [-1, -8]], [[-1, 17], [-1, -17]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 29], [-1, -29]], [[-1, 10], [-1, -10]], [[-1, 34], [-1, -34]], [[-1, 16], [-1, -16]], [[-1, 28], [-1, -28]], [[-1, 22], [-1, -22]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933527
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 20, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c5', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 33], [-1, -33]], [[-1, 24], [-1, -24]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 21], [-1, -21]], [[-1, 30], [-1, -30]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 20], [-1, -20]], [[-1, 29], [-1, -29]], [[-1, 11], [-1, -11]], [[-1, 31], [-1, -31]], [[-1, 2], [-1, -2]], [[-1, 22], [-1, -22]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 25], [-1, -25]], [[-1, 5], [-1, -5]], [[-1, 34], [-1, -34]], [[-1, 14], [-1, -14]], [[-1, 26], [-1, -26]], [[-1, 17], [-1, -17]], [[-1, 32], [-1, -32]], [[-1, 8], [-1, -8]], [[-1, 28], [-1, -28]], [[-1, 1], [-1, -1]], [[-1, 19], [-1, -19]], [[-1, 10], [-1, -10]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933528
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 21, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c6', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, -9]], [[-1, 18], [-1, -18]], [[-1, 27], [-1, -27]], [[-1, 33], [-1, -33]], [[-1, 24], [-1, -24]], [[-1, 15], [-1, -15]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 21], [-1, -21]], [[-1, 30], [-1, -30]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 26], [-1, -26]], [[-1, 17], [-1, -17]], [[-1, 34], [-1, -34]], [[-1, 8], [-1, -8]], [[-1, 25], [-1, -25]], [[-1, 1], [-1, -1]], [[-1, 16], [-1, -16]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 19], [-1, -19]], [[-1, 2], [-1, -2]], [[-1, 28], [-1, -28]], [[-1, 11], [-1, -11]], [[-1, 32], [-1, -32]], [[-1, 20], [-1, -20]], [[-1, 29], [-1, -29]], [[-1, 14], [-1, -14]], [[-1, 31], [-1, -31]], [[-1, 5], [-1, -5]], [[-1, 22], [-1, -22]], [[-1, 4], [-1, -4]], [[-1, 13], [-1, -13]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933529
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 22, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c7', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[-1, 33], [-1, -33]], [[-1, 21], [-1, -21]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 27], [-1, -27]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[-1, 20], [-1, -20]], [[-1, 28], [-1, -28]], [[-1, 32], [-1, -32]], [[-1, 29], [-1, -29]], [[-1, 25], [-1, -25]], [[-1, 17], [-1, -17]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 19], [-1, -19]], [[-1, 31], [-1, -31]], [[-1, 34], [-1, -34]], [[-1, 26], [-1, -26]], [[-1, 22], [-1, -22]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933530
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 23, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c8', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[-1, 33], [-1, -33]], [[-1, 21], [-1, -21]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 27], [-1, -27]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 19], [-1, -19]], [[-1, 31], [-1, -31]], [[-1, 7], [-1, -7]], [[-1, 26], [-1, -26]], [[-1, 5], [-1, -5]], [[-1, 14], [-1, -14]], [[-1, 17], [-1, -17]], [[-1, 2], [-1, -2]], [[-1, 29], [-1, -29]], [[-1, 10], [-1, -10]], [[-1, 28], [-1, -28]], [[-1, 22], [-1, -22]], [[-1, 16], [-1, -16]], [[-1, 34], [-1, -34]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 11], [-1, -11]], [[-1, 20], [-1, -20]], [[-1, 1], [-1, -1]], [[-1, 32], [-1, -32]], [[-1, 13], [-1, -13]], [[-1, 25], [-1, -25]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933531
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 24, 'cyclotomic_n': 69, 'dim': 136, 'faithful': True, 'field': [1, -24, 24, 482, -482, -2807, 2807, 7060, -7060, -9385, 9385, 7359, -7359, -3589, 3589, 1103, -1103, -208, 208, 22, -22, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.136c9', 'nt': [9316, 0], 'q_character': None, 'values': [[[136, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 15], [-1, -15]], [[-1, 30], [-1, -30]], [[-1, 24], [-1, -24]], [[-1, 9], [-1, -9]], [[-1, 6], [-1, -6]], [[-1, 21], [-1, -21]], [[-1, 33], [-1, -33]], [[-1, 18], [-1, -18]], [[-1, 3], [-1, -3]], [[-1, 12], [-1, -12]], [[-1, 27], [-1, -27]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, -5]], [[-1, 10], [-1, -10]], [[-1, 20], [-1, -20]], [[-1, 25], [-1, -25]], [[-1, 34], [-1, -34]], [[-1, 29], [-1, -29]], [[-1, 19], [-1, -19]], [[-1, 14], [-1, -14]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 16], [-1, -16]], [[-1, 26], [-1, -26]], [[-1, 31], [-1, -31]], [[-1, 28], [-1, -28]], [[-1, 13], [-1, -13]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 17], [-1, -17]], [[-1, 22], [-1, -22]], [[-1, 32], [-1, -32]], [[-1, 0]], [[-1, 0]]]}
  • id: 37933546
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 38, 'cyclotomic_n': 1, 'dim': 137, 'faithful': True, 'field': [0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.137a', 'nt': [138, 0], 'q_character': None, 'values': [[[137, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]]]}
  • id: 37933547
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 39, 'cyclotomic_n': 1, 'dim': 138, 'faithful': True, 'field': [0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138a', 'nt': [552, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 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]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933549
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 40, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138b1', 'nt': [2346, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933550
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 41, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138b2', 'nt': [2346, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933551
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 42, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138b3', 'nt': [2346, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933552
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 43, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138b4', 'nt': [2346, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933553
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 44, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138b5', 'nt': [2346, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[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, -2]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933554
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 45, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138b6', 'nt': [2346, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933555
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 46, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138b7', 'nt': [2346, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933556
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 47, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138b8', 'nt': [2346, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933557
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 48, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138c1', 'nt': [4692, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933558
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 49, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138c2', 'nt': [4692, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933560
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 50, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138c3', 'nt': [4692, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933561
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 51, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138c4', 'nt': [4692, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 3], [-1, -3]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933562
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 52, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138c5', 'nt': [4692, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[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, -2]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933563
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 53, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138c6', 'nt': [4692, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 7], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7], [1, -7]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933564
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 54, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138c7', 'nt': [4692, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 7], [-1, -7]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 7], [-1, -7]], [[-1, 8], [-1, -8]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933565
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 55, 'cyclotomic_n': 17, 'dim': 138, 'faithful': True, 'field': [1, 4, -10, -10, 15, 6, -7, -1, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138c8', 'nt': [4692, 0], 'q_character': None, 'values': [[[138, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[1, 8], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933566
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 56, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d1', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933576
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 65, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d10', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 15], [-1, -15]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933577
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 66, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d11', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 13], [1, -13]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933578
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 67, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d12', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 16], [1, -16]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 16], [-1, -16]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 12], [-1, -12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 13], [-1, -13]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 13], [1, -13]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933579
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 68, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d13', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[-1, 15], [-1, -15]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933580
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 69, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d14', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 8], [-1, -8]], [[1, 15], [1, -15]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933582
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 70, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d15', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[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, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933583
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 71, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d16', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[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, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933567
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 57, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d2', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[1, 16], [1, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, -16]], [[1, 14], [1, -14]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933568
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 58, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d3', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 15], [1, -15]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[1, 7], [1, -7]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933569
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 59, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d4', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 16], [1, -16]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 14], [-1, -14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14], [1, -14]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 16], [-1, -16]], [[-1, 12], [-1, -12]], [[1, 6], [1, -6]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 15], [-1, -15]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 15], [1, -15]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[-1, 7], [-1, -7]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933571
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 60, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d5', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933572
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 61, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d6', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 16], [1, -16]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 12], [1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 16], [-1, -16]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933573
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 62, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d7', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933574
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 63, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d8', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 2], [-1, -2]], [[1, 16], [1, -16]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 16], [-1, -16]], [[1, 2], [1, -2]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 5], [1, -5]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 15], [-1, -15]], [[-1, 5], [-1, -5]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
  • id: 37933575
    {'center': None, 'center_index': 1285608, 'center_order': 1, 'counter': 64, 'cyclotomic_n': 68, 'dim': 138, 'faithful': True, 'field': [17, 0, -204, 0, 714, 0, -1122, 0, 935, 0, -442, 0, 119, 0, -17, 0, 1], 'group': '1285608.a', 'group_counter': 1, 'group_order': 1285608, 'image': None, 'image_isoclass': '1285608.a', 'image_order': 1285608, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1285608.a.138d9', 'nt': [9384, 0], 'q_character': None, 'values': [[[138, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 16], [1, -16]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 14], [1, -14]], [[1, 2], [1, -2]], [[-1, 16], [-1, -16]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 13], [1, -13]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 262818955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1285608, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 321402, 'label': '1285608.a.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': False, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': True, 'solvable': False, 'special_labels': ['D', 'S', 'PC', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1285608.a', 'subgroup_hash': None, 'subgroup_order': 1285608, 'subgroup_tex': '\\PSL(2,137)', 'supersolvable': False, 'sylow': 0}
  • id: 262818966
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.138.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '138.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 138, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9316.b', 'subgroup_hash': None, 'subgroup_order': 9316, 'subgroup_tex': 'C_{137}:C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 262818977
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.276.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '276.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 276, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4658.a', 'subgroup_hash': None, 'subgroup_order': 4658, 'subgroup_tex': 'C_{137}:C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 262818980
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 2329, 'label': '1285608.a.552.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '552.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 552, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2329.a', 'subgroup_hash': None, 'subgroup_order': 2329, 'subgroup_tex': 'C_{137}:C_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 262818981
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.2346.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2346.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2346, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '548.3', 'subgroup_hash': None, 'subgroup_order': 548, 'subgroup_tex': 'C_{137}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 262818982
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.4692.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4692.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4692, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '274.1', 'subgroup_hash': None, 'subgroup_order': 274, 'subgroup_tex': 'D_{137}', 'supersolvable': True, 'sylow': 0}
  • id: 262818983
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.9316.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9316.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9316, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '138.3', 'subgroup_hash': None, 'subgroup_order': 138, 'subgroup_tex': 'D_{69}', 'supersolvable': True, 'sylow': 0}
  • id: 262818984
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 8, 'cyclic': True, 'direct': None, 'hall': 137, 'label': '1285608.a.9384.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9384.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '137.1', 'subgroup_hash': None, 'subgroup_order': 137, 'subgroup_tex': 'C_{137}', 'supersolvable': True, 'sylow': 137}
  • id: 262818985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 34, 'label': '1285608.a.9453.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9453.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9453, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '136.6', 'subgroup_hash': None, 'subgroup_order': 136, 'subgroup_tex': 'D_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 262818956
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 10, 'cyclic': True, 'direct': None, 'hall': 69, 'label': '1285608.a.18632.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18632.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '69.1', 'subgroup_hash': None, 'subgroup_order': 69, 'subgroup_tex': 'C_{69}', 'supersolvable': True, 'sylow': 0}
  • id: 262818957
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 11, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1285608.a.18906._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18906.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18906, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '68.2', 'subgroup_hash': None, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
  • id: 262818958
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.18906._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18906.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18906, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '68.4', 'subgroup_hash': None, 'subgroup_order': 68, 'subgroup_tex': 'D_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 262818959
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.18906._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18906.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18906, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '68.4', 'subgroup_hash': None, 'subgroup_order': 68, 'subgroup_tex': 'D_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 262818960
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.27948.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27948.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27948, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46.1', 'subgroup_hash': None, 'subgroup_order': 46, 'subgroup_tex': 'D_{23}', 'supersolvable': True, 'sylow': 0}
  • id: 262818961
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 15, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1285608.a.37812._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '37812.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 37812, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34.2', 'subgroup_hash': None, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
  • id: 262818962
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.37812._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '37812.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 37812, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34.1', 'subgroup_hash': None, 'subgroup_order': 34, 'subgroup_tex': 'D_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 262818963
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.37812._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '37812.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 37812, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34.1', 'subgroup_hash': None, 'subgroup_order': 34, 'subgroup_tex': 'D_{17}', 'supersolvable': True, 'sylow': 0}
  • id: 262818964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1285608.a.53567._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '53567.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 53567, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.12', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 262818965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1285608.a.53567._.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '53567.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 53567, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.12', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 262818967
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 20, 'cyclic': True, 'direct': None, 'hall': 23, 'label': '1285608.a.55896.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55896.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55896, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23.1', 'subgroup_hash': None, 'subgroup_order': 23, 'subgroup_tex': 'C_{23}', 'supersolvable': True, 'sylow': 23}
  • id: 262818968
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 21, 'cyclic': True, 'direct': None, 'hall': 17, 'label': '1285608.a.75624.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '75624.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 75624, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17.1', 'subgroup_hash': None, 'subgroup_order': 17, 'subgroup_tex': 'C_{17}', 'supersolvable': True, 'sylow': 17}
  • id: 262818969
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.107134._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '107134.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 107134, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 262818970
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.107134._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '107134.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 107134, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 262818971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1285608.a.160701.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160701.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160701, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 2}
  • id: 262818972
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.214268.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '214268.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 214268, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': None, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 262818973
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 26, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1285608.a.321402._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '321402.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 321402, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 262818974
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.321402._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '321402.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 321402, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 262818975
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1285608.a.321402._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '321402.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 321402, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 262818976
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 29, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '1285608.a.428536.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '428536.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 428536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': None, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 262818978
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 30, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1285608.a.642804.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '642804.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 642804, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 262818979
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1285608.a', 'ambient_counter': 1, 'ambient_order': 1285608, 'ambient_tex': '\\PSL(2,137)', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 31, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '1285608.a.1285608.a1.a1', 'maximal': False, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1285608.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1285608.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1285608, 'quotient_simple': True, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': '\\PSL(2,137)', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'F', 'Phi', 'R', 'U0', 'C1'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  
  • id: 262818955
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2552857, 118282241], 'label': '1285608.a.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818956
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '18632.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9316, 'diagramx': None, 'generators': [87308555, 289994117], 'label': '1285608.a.18632.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18632.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18632.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818957
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9453, 'diagramx': None, 'generators': [145090308, 254697764, 6995991], 'label': '1285608.a.18906._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18906.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18906._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818958
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9453, 'diagramx': None, 'generators': [44345513, 136630121, 216146492], 'label': '1285608.a.18906._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18906.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18906._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818959
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9453, 'diagramx': None, 'generators': [257146434, 136630121, 216146492], 'label': '1285608.a.18906._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18906.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18906._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818960
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '27948.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27948, 'diagramx': None, 'generators': [32079582, 281479680], 'label': '1285608.a.27948.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27948.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27948.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818961
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9453, 'diagramx': None, 'generators': [140599929, 209444216], 'label': '1285608.a.37812._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '37812.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37812._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818962
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18906, 'diagramx': None, 'generators': [84947879, 321213090], 'label': '1285608.a.37812._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '37812.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37812._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818963
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18906, 'diagramx': None, 'generators': [84947879, 148074886], 'label': '1285608.a.37812._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '37812.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '37812._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818964
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 53567, 'diagramx': None, 'generators': [7535957, 180568945], 'label': '1285608.a.53567._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '53567.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '53567._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818965
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 53567, 'diagramx': None, 'generators': [128956954, 283003392], 'label': '1285608.a.53567._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '53567.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '53567._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818966
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '138.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 138, 'diagramx': None, 'generators': [72455622, 196784671], 'label': '1285608.a.138.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '138.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '138.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818967
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '55896.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9316, 'diagramx': None, 'generators': [193691466], 'label': '1285608.a.55896.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55896.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55896.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818968
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '75624.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9453, 'diagramx': None, 'generators': [147502603], 'label': '1285608.a.75624.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75624.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75624.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818969
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 53567, 'diagramx': None, 'generators': [56555360, 188513708, 162852247], 'label': '1285608.a.107134._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '107134.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '107134._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818970
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 53567, 'diagramx': None, 'generators': [111844702, 8128755, 109388979], 'label': '1285608.a.107134._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '107134.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '107134._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818971
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '160701.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 160701, 'diagramx': None, 'generators': [129554822, 134552169, 337153886], 'label': '1285608.a.160701.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160701.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160701.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818972
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '214268.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 214268, 'diagramx': None, 'generators': [52517696, 132172069], 'label': '1285608.a.214268.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '214268.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '214268.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818973
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9453, 'diagramx': None, 'generators': [281284044, 196722988], 'label': '1285608.a.321402._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '321402.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '321402._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818974
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 53567, 'diagramx': None, 'generators': [75418060, 281284044], 'label': '1285608.a.321402._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '321402.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '321402._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818975
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 53567, 'diagramx': None, 'generators': [281284044, 257151229], 'label': '1285608.a.321402._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '321402.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '321402._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818976
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '428536.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9316, 'diagramx': None, 'generators': [246175067], 'label': '1285608.a.428536.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '428536.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '428536.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818977
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '276.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 138, 'diagramx': None, 'generators': [232659509, 271674387, 91233199], 'label': '1285608.a.276.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '276.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '276.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818978
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '642804.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9453, 'diagramx': None, 'generators': [8216572], 'label': '1285608.a.642804.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '642804.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '642804.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818979
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '1285608.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '1285608.a.1285608.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1285608.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1285608.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818980
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '552.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 138, 'diagramx': None, 'generators': [24722703, 131769702], 'label': '1285608.a.552.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '552.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '552.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818981
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '2346.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 138, 'diagramx': None, 'generators': [309965396, 233339543, 281679868], 'label': '1285608.a.2346.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2346.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2346.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818982
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '4692.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 138, 'diagramx': None, 'generators': [150076731, 240820836], 'label': '1285608.a.4692.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4692.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4692.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818983
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '9316.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9316, 'diagramx': None, 'generators': [11489364, 340451855], 'label': '1285608.a.9316.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9316.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9316.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818984
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '9384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 138, 'diagramx': None, 'generators': [17717110], 'label': '1285608.a.9384.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9384.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9384.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 262818985
    {'ambient': '1285608.a', 'aut_centralizer_order': None, 'aut_label': '9453.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9453, 'diagramx': None, 'generators': [294069701, 340819381], 'label': '1285608.a.9453.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9453.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9453.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}