{"label":"5.12.a","level":5,"weight":12,"dims":{"new":3,"cusp":5,"eisenstein":2,"modsym":12},"old":[[1,1,2]],"T":[[2,1],[3,1]],"status":"proven","checks":["dim M^+ at levels [1, 5]: [2, 7] (certified at ell = 2147483629)","T = [(2, 1), (3, 1)]; h of degree 3 = 1 x 3 (phi(ord eps) x dim S_k^new); 1 primes, 0 rejected"],"newforms":[{"label":"5.12.a.a","letter":"a","dim":1,"charpoly":["758","1"],"traces":["1","34","-792","-892","3125","-26928","-17556","-99960","450117","106250","-468788","706464","-374042","-596904","-2475000","-1571824","-3724286","15303978","-379460","-2787500","13904352","-15938792","-32458092","79168320","9765625","-12717428","-216192240","15659952","69696710","-84150000","171448632","151276064","371280096","-126625724","-54862500","-401504364","-291340546","-12901640","296241264","-312375000","191343242","472747968","-1759857392","418158896","1406615625","-1103575128","1623469924","1244884608","-1669113607","332031250","2949634512","333645464","-644888642","-7350536160","-1464962500","1754897760","300532320","2369688140","925569220","2207700000","-10898589338","5829253488","-7902254052","8362481728","-1168881250","12623523264","3795674064","3322063112","25706808864","-1865325000","-22966943728","-44993695320","9880820458","-9905578564","-7734375000","338478320","8230042128","10072202976","-20768886240","-4911950000","91487377881","6505670228","3204862008","-12402681984","-11638393750","-59835151328","-55199794320","46860048480","63176321130","47824931250","6566681352","28952618064","-135787316544","55197977416","-1185812500","-119810642688","126494473874","-56749862638","-211009448196","-8710937500","32890510302","100287573408","76222392308","37389238320","43451100000","-21926213828","55856572344","192843478080","-166136788330","-49808725000","230741712432","27594942144","-179451654542","10218098880","-101431537500","-62169465320","-168362662914","31469353480","65383565016","247401000000","-65549481667","-370552037492","-151543847664","-152932179744","30517578125","-268676637768","-53794877516","-25489000320","1393807054464","-39741962500","531507278532","-331181845632","6661799760","129052918176","-675600750000","372279628560","392827630554","874031501376","-1046036929420","48937350000","-1285788179808","-780876086752","175346401096","-707504703408","217802218750","335947895572","1321937976744","259875767032","445288935950","-262968750000","266614824352","37930821600","-1676364441462","279821432352","535776975000","-264247207488","-1619587062106","-706142132160","510751804464","472737700000","569834263152","3110570847954","1557118038008","-170678171864","1160250300000","108965308272","-810193869636","-1389879025920","-1652252976273","-395705387500","-170801396820","1569792793664","-3629196921642","-1876793006880","-171445312500","736852229312","-733050822240","2147994918420","-3783829650740","-1254701137500","-26382760018","223267165968","8631682755696","3244510876320","-910439206250","-4616768762496","1745900585368","-1448135172208","3795470965440","-40317625000","3188489846792","-6623085528576","-2172552458542","4300812111716","925753950000","1488849337444","3090424396974","-7174321238664","4506273184600","-976171875000","-3006173858688","1118277350268","-1223595440760","-2631073984704","597947631250","2591561338472","-14609938996764","587928192608","177886294480","1477337400000","-10473937938988","575240668664","18189819432576","1899123459696","-5499554350000","21610576310400","-3009952183392","-5648650803220","-7825609802736","1306746550000","1393039384012","7845218222688","-3637981404292","-2655802579584","4395673828125","-6101356254428","16586396582384","-268074829440","-10279797623490","-3448672275000","-6518193365376","-6966883131600","2927599746858","-5724330539076","5073343512500","-825607744240","16448957902080","2223041210544","13396011338080","3890264400000","-16728195115358","-2228682376678","-34160196542472","9721541689496","-5215980021875","-5152490820576","141933977320","-17138005254720","-2538250710336","1037597656250","18833877060252","7048810614384","15215964032496","-1829025835544","9217607850000","-17992988589824","-1201563096606","47389439851776","5114774625576","1042642075000","31371674015070","18071247470088","3796600489508","-37113158396160","-2015277006250","226501191840","-50035646334960","-3385741265088","-25742245602410","-22970425500000","16014429593272","5853922117664","-5200811630784","13356139438836","-4578007812500","-22930473506688","-23161973367666","-35565255600280","77171943889944","5484055500000","37179665661882","-43716798113472","9578058412608","20486513805376","939163500000","5961777637264","-3359221956552","68091928099488","-20401590097837","7405275437500","-100183623308208","-8813691848536","-65105235871842","44945891209296","2892403812500","29122400978160","101348327805120","15139823822300","12140689647864","6899062500000","30896056373952","9064904027968","-26049284159184","596444335040","-34058091681250","-56996391009708","-33787161085856","-7341197578176","-60368134707936","18216417150000","31326789581712","-29612276749440","63902725450058","-55065960111604","-24694543912500","18525846526080","11551720535414","17365561351776","-32672981287480","26132755400000","-44238405296448","19374364947168","1413217565560","-81606741069852","-3652753906250","52942013292272","131580336357360","-19126670470320","-28501637985744","39448510200000","117396489617532","-2858736911136","-131137332543882","-27546591567624","11861481450000","-21855194178048","3673996841554","-56176601193282","142125710397264","10381447225000","-80373061298016","-5807247491880","64016906784600","175915344904320","80333777700000","-123392695335828","-59296596491576","49238216533440","-96915614965850","-5829140625000","80864977834080","-70916403490432","39359396659458","-24923727956160","-71771699150000","-56353278447960","-51783783492672","-128650208125160","-53849513174280","-140605297875000","-116346269006619","-897013840612","51915189480264","-5857479765984","30877563931250","293477213693664","45567121790964","51018407999808","86126846059314","-30954933012500","11321664998952","121122286357248","169341209790958","59360619902512","-24169921875000","-162282053603040","-26069496801820","129046012824960","-59380200441740","1057744750000","42605542992672","108408654790928","121002509761308","20187288253440","25718881650000","-73866783590428","-792141729714864","-112833070695608","153361697488830","31475634300000","120883217622312","166844596155720","-420953764597344","105074429497116","-64902769500000","188220427790832","133061282073574","153213288276400","-5276145409920","-15349843750000","-125079682705998","-102209911195392","-64128989210544","-29338335189384","285898055878125","-41602244985840","136576951878248","-294845465819520","191901522661370","20330219462500","-311119483398768","-67990373938736","-16249293226320","-496737925889976","10015193775000","-56583601530688","828461248100640","6048134012320","-339088245781060","-38758381200000","409834586687422","-356113889925592","730751411781108","64463068654320","-36369980468750","618453860707584","191335634417928","-49824062530848","-138874349668032","-186984847900000","-558967690788168","339816151445760","-325999693255742","-102338374235328","-172499357250000","148194015190360","12316547590320","-266070733293024","89133625453480","146437651500000","-751296409442019","47363339056408","555014045773008","-205821607489344","197426003531250","-123691367745928","-352668837272400","-146811729216768","-241404543824750","149452910156250","-89699415730696","160070875851464","-211158940886784","563937483801056","20520879225000","-30041210707200","36095403680794","-349513119198660","805161732740640","90476931450000","258826949138262","-221618574422784","-564822897844692","-109550961499040","-424335364200000","99538391393172","-388269793297936","150179495319288","-66636853867584","172493679425000","1282712953187952","-92519899231200","825000027080896","559264568670720","-3705664062500","-58322139994272","-290275340871114","455464385494720","264818742090960","-374408258400000","108973600506932","-568758633922172","-451308736416384","58470137646964","395295230856250","-1161446682444048","-960424464775396","1089422990226480","-1233237486102336","-177343320743750","237919600117292","135177112116288","-259570481299060","4825755228880","-659404525612500","-269487074544768","403207664088768","-86300524151424","-926509083889700","-27221679687500","641673544751712","640351820048568","-221172315836092","789909315037920","102782844693750","517342777104864","1308584357208216","47985030744272","-222666755375930","313398666900000","-173467683960648","-559560139398656","82036307390400","-40853145284604","238194975962500","-1243275892581888","-761063218732112","173902337269584","2874323961940464","116841369750000","-1004490588837478","1066636916512380","-1019538444892592","-474104492450544","135784687500000","129084416643272","-638523739876752","-583586965615104","100717978366537","-68519418212500","416614440598740","-5942325385920","-71570408924164","-1701211975388640","174551788575000","-379415579437440","2996793083386080","-875236350481940","782460429598316","602635869000000","1576723717969542","544490606171248","20895145934256","-563395327290304","-519177463531250","-176827595446656","-273963507086576","-350402246454168","-4905640337052546","-155652265625000","-26447113576600","-2569652614045440","364618566829440","-787507094500644","721067851350000","933064941042640","91000471705494","2623846092258096","658260578618464","86234194200000","-1382753263611456","1264108632503988","102926393251608","1146923056388736","-560786420443750","325653986028672","-1606152406078836","2295775695050880","2339556432974490","31931559000000","-226931239783828","-156408989777632","-2525283958659264","-114213546522768","-316973554687500","3764095187962176","2421511880192834","-693654063326458","1720661547165264","-194279579125000","-56264557412448","-3406243192479072","302316056705896","-987686812981680","-526133321606250","-2213578019642628","1604253787184904","-1179168675255648","-65057897898720","98341729625000","-2447616122403408","457936062375904","-2020528622020942","3445843145374080","204323640675000","-397197730867400","-3568968362203200","412783448027376","1257878419261400","773128125000000","-850069615091398","1050465916714368","1708497422665488","-237820423321984","-204842130209375","-885675661412256","-2257710792441356","-57403215245440","969087589081920","-1157975117162500","-607245937312808","1495317081784104","3375833969205358","-1148763476919104","-473574523950000","-822675011114880","-1761143658313686","-2052516580069824","-536922678085660","-477913061700000","7017187615606080","1065110845778208","-1109123493758280","-465639128545536","95367431640625","2172692665301972","-140885945228160","1444671659398552","1085035516700156","-839614493025000","-1361520603114368","2076057868550400","8295358847678496","392758498204076","-168108992237500","-455590609581888","624318591789494","-1110881363774320","-10337811810016176","-79653126000000","-2148959139283758","-1504105780079232","-557356122582792","-508292162731584","4355647045200000","48049397229040","241894180790524","-9145078292984760","-433895743505360","-124193632812500","2383882129246464","-1388949289903136","-3139585213786042","4473731436150240","1660960245412500","-300757900013408","4447525262093586","-969055691515296","1061987922234220","-1034943267600000","-887576148441938","3991480646996088","-1103287192137504","-320358006319680","20818124250000","-4458669306491988","-2262222225277320","722692931715312","2881281272199264","403290369300000","5109127898582344","2103395643030528","-2923985063350542","124915892612836","-2111252343750000","1473809654835516","-3201435506787666","4832274153506976","-2220736983331944","1163373839250000","-13136426093248128","-2732684084132544","2374358013548208","152354845963440","1227586345481250","2176574830676400","8141599717804080","2766186085323008","241215437430964","2731348441800000","-446381960099708","3237243654104664","3704481872528976","-2016084280713584","-3268865404437500","5517771440227200","-712616957375212","-3295130908838900","-2318658999511536","152929218750000","5799298780282502","2749409246358720","110552083585160","-3920231084305664","-4018088061900000","1338219486421572","-577425798861912","653881333438080","3711496215295870","-2440237771100000","-9348428767690080","-6315105060154800","-5564895470730144","-1760648638750848","547957503425000","3375176048460080","-10609640979759360","-1830883447925520","254073503735040","-2210952198150000","-1338160319359248","-3955773146225046","13248730531363536","23533421936056","680631933593750","1765116442328976","3407257530559484","-656405467945920","10848161132152317","1049837173662500","6554212247022112","-7699461018080832","-3167081741102842","1549282140892776","4131056177325000","-4910132402709888","-1779366453114432","2928312766016676","3825929969969980","812111771975000","-112411710037440","384936609964368","-2209953962739692","13573300161738240","1391527924843750","5757601132892572","1442562872454936","-1557343322148256","-980617984071264","-821777343750000","1226064105604552","-2551808989821376","-14916430631719584","-886362891261880","833171326100000","-3385560101172480","6709291091329294","-2018926815019160","-12051043513736832","118533817500000","-5226981453900438","1448588461750848","2916697455921480","-2844132943338464","-5238638879568750","4114085331884472","-346201762187240","14250446963140608","9722515805477090","874441976100000","951637972511952","1937916793019464","9828292307784558","-26932818810305376","1674303046875000","-12644387608445040","-4050901503456192","5214297714620220","-72607106609320","-825772523400000","10766627616361664","4110029399158608","-15067887855530400","2623552826209168","-5061209569081250","-14312427996309696","2540306642769904","-2756658562100808","-3006907587690336","-2206694163000000","3150453247139352","21092504441672160","4076530153164196","4524083590501516","1596099388950000","-4019595680663200","-3634047718991626","-179388943937280","-6046266309374264","1477305312500000","28436736138072210","-4252709212003932","-4632010060864904","2681507081949696","1780732072350000","-2180385633158496","20387858517108720","-3287735409787920","-4024893340628230","9720533899856250","-11209452324103188","1091447133157920","-12683428237871424","4643616363860432","4865993868775000","-4636306317189888","667795485968320","6524651770486580","2955774910118184","-533369287075000","-21142690373861778","-10578062435558112","-3765892141086892","-7619190335107680","3625782187500000","-552475969694880","1794186154640584","13032065585113488","-11161486852296090","340516588350000","18344282907191472","-3127919390504576","6216256438959602","28167682435421760","-2531855842612500","-158674574676160","-37065863797015680","-11529000356556040","3475139435319080","-4343371956000000","-7342878380881729","13934375947372348","-29446295204210544","9342752641577296","-5163290550853125","24845548000557672","1150786700145852","1013651444823008","-7585822262785536","-1236579335937500","9456358245398232","-16225318933857792","16412214205681758","6505411570209552","-533754365062500","-5583422971506240","4919205017661994","-4721727888713088","-19688991000557180","4905602480200000","2660503789589184","-19004901486797712","24406755096212108","-32704711134543360","-11341240380131250","-11083989570695228","16158059357486904","2684877347585664","9736204642677120","-5864978146500000","-1419741518246688","16607033361466800","56937313096743258","418762618070880","-535766601562500","6980443944040512","28874389996366134","3030543265418320","51563346810498864","2302663216600000","-2519277239619518","-25544077921028646","-22947853053776392","-1242591130538704","-2290783819500000","18870477556282272","-31202872587089796","-23064941574702720","944422869670896","6712484120062500","-42888184902078228","3245079412628464","-616041897361040","-11990740467261600","-11824467658562500","447484889617920","-9615426201108288","-8207754490041500","11949405584400720","-3920941054687500","2401749740959612","-3049780134843664","-24469676648169984","17937987388018320","-82446125056250","-7179403990150656","7971313059821544","-14795065751486528","14804577825605334","697709893650000","-21501767879960888","-472383913351680","-1502400851006304","1227243725146996","26974008611550000","9169579480153080","-9331141781907792","27375498913181760","-19363824928436360","10139096488500000","26759431579997952","8800116270700908","8590601565908576","5814228481915392","-2845122519531250","-19203978526719528","34308994558500036","10543443962549440","-17850530406099790","-14427402382800000","633361849312220","-2611418974197336","-24810817348715904","-13201172972129824","5455939329275000","16829531784883440","7465052912682954","-2265653031497856","-50610958556445936","-4525422413150000","30598421763809942","43612240408390368","-6210636552414264","-1454831913657280","11860846767000000","28050000920750464","-23513751983906976","-14672470448655360","-3695841845751236","-125992578125000","-9148962664047888","-6535741158999360","14874428064538858","-9869361589617876","9964030771225000","-11949242113567360","25877001179684160","9003837231092640","-6896481882006024","-20697142276800000","3986156518266593","3705102417235688","25141992773764248","14921550042899336","-6789226432943750","-15344497038157056","-47403930542122036","6552326187433320","-1119268311923520","13440037849112500","-12108312753504228","30470895315885024","18364224332897520","-32654431802363464","2892981093750000","17130664287612512","-52395212022280766","-41930074527479424","-29616301229890440","4652654179512500","-74780992752734610","8089266403987928","36425353018854708","15148323012493440","9657576240543750","-8825396364168040","22573297284709248","-126605107769440","57121613136416064","-22419753870825000","42108794710093592","25936074227144448","-92978019777085344","13709060579018112","14082103701875000","2264119633619712","27520915894982574","-31501308852249800","62985565242563040","-3050537109375000"]},{"label":"5.12.a.b","letter":"b","dim":2,"charpoly":["-203644","240","1"],"traces":["2","-20","-220","6976","-6250","60184","57900","-246240","-20846","62500","-618176","-1927040","3414260","1334472","687500","6005632","1317940","-12548020","5325320","-21800000","3836184","-89491840","58943940","122180160","19531250","-80761736","-26769160","163685760","94140380","-188075000","244543464","-627301120","-442259840","445358072","-180937500","182418752","21003220","941752240","-624203992","769500000","-745743316","1429793040","629950100","-242725888","65143750","-468194856","-1402061540","-6375522560","-1941677414","-195312500","2300559784","12841321600","1138320580","-9205154480","1931800000","-3990553920","4720910480","7387417960","7317515560","6022000000","-1516425676","-28564327440","-2848632180","819531776","-10669562500","-2975464192","15734290140","-4573774720","-5837195832","-4170225000","32938471544","-18354067680","-29982848860","68768198072","-2148437500","-1325392640","-34734748800","110356370800","-3302823120","-18767600000","-43884431798","-74630515640","13299102420","-15982487808","-4118562500","-56706093896","34064940920","-80794874880","-12674770860","39212562500","90637859064","203171571840","-166200542640","-60289765528","-16641625000","105515416064","-3080703740","130206802940","118700272448","68125000000","86236921404","-35235003280","-9745519820","-496819074240","-11988075000","-688179643816","296543215500","96086091520","-16217462540","279662000000","365573540584","-14728753920","-458453908940","-2268025760","-184199812500","161785210240","19112954260","563986667120","118856958072","-381813000000","462375122266","-178966175240","-355770628840","1375345458432","-61035156250","-360757892856","-305724984820","-7429294080","-338129673112","252380425000","-862499305536","-1394641070080","329288971440","-489632795928","83653625000","589736681280","-61675297980","1753937766960","-43332251960","-511518000000","-242095262216","-527994411440","-645058398080","1194681966464","-294188687500","1530603598744","804464669140","-1306305374080","1848547439300","587734375000","1737588248504","976155523200","-551754189100","-3013834465536","-764198325000","-4259510141696","1590893704900","-2053077212640","-3734796266552","1960316000000","1727766102744","2964538062620","1558077182260","-959393710208","1382062000000","-4122356267976","-3267506815860","1935463029120","2444167740894","-1391743975000","-1222978859960","3205397806720","1498071986340","1472498094160","565429687500","7573321232384","2593269676240","-5147191650120","-284499503720","-570058600000","-4049980496036","1010542877520","-868555479640","-7058336840640","-65635062500","11624887742688","-4442489192320","-3404183032960","-2442188092080","-2942975750000","-7475911020616","-6937864069120","6931095694900","16505041830872","1950637475000","-8988371396032","-4617051692940","3753078098560","5291158372400","-2404687500000","-3502984686216","-12134911089240","4191236630760","8268940635392","2330447862500","13341380651384","-756632951580","14847176600320","-10402040380160","-4468103250000","8107665113824","17506390943360","-4682483581840","-3628683124728","-1968594062500","-12239648592000","2482608150000","-43070749119880","9862247295368","758518400000","283686232264","-10634415381520","10352919702340","-16955461759488","-203574218750","5518771267064","11909114012780","15567714173440","7211155027980","1463108925000","-14105481384192","2068704100800","-227108556780","-21482187990472","4381442312500","12780257818880","-10762585157280","13347010877520","-2961890940560","19923508000000","-10237234559716","54519372130940","23039730522380","-1406684117888","6067741918750","-9033209561072","4824430204880","-72943175479680","-22739515899672","610351562500","16999064925504","-2151144750720","-19285816513920","-935451099128","-7189249325000","1669612838912","-12062176821900","27189535248880","12748211746872","-40129130000000","-10753709379140","-11120133210240","-22933478508940","42318208849920","-3557251812500","30607443129120","-26733451785240","61527001898880","-25752748710380","28766107750000","2117313290744","-41235921921280","253416666480","5347610019672","-6036875000000","-54271455234816","52350921656580","72651085240880","28097291026728","12470481000000","54357167321964","-30053473643440","-18598009852380","118861582665472","-14752845250000","-142467273279232","-36036747987000","-1494344856320","-48336033274394","-23085681125000","88201462976584","-129195679026560","-45871580501100","-76524661446088","-22867236125000","110538381199680","91635071630080","701813901400","100105071687528","-18818750000000","9365495045304","-73040409416240","-69606284688840","-82076780065280","4738830237500","-7667931805256","-7095506707300","-53931164743680","71706276263848","89263523250000","-85888436624376","247599498138240","53524508750260","-42167176533928","8901975562500","30201861834240","101865234960740","144797761102640","-102391293261440","-2561036800000","-36157092210216","42626157901200","45474575557840","-203582773004224","33342382812500","-86626977043336","-228791672428760","-42808318966080","-53668308626328","9298325600000","19078464335664","126174574116480","-81153373414540","236201554142472","-49169656687500","-133181990278656","56499349988420","-183611528688300","55412501597608","14293046000000","154260806439168","-32107322138320","-151199734486200","-160226268661440","18241236975000","140811747573144","111353857720060","82555563861760","-61760518869700","13031953125000","-5078872119760","133645965352960","-83888059299420","116128913853920","-102932723575000","61269186414720","64448830389360","264207488863760","-39011853936240","57356461500000","-127738103376438","-274366883295640","264568727769940","277806423052032","93696402687500","-13924310882192","-295977305329860","165047943878400","104089409174668","-214900618975000","-86161792299816","-778965139054080","12609032273540","-160349570414336","6713867187500","50752792082880","124995879202520","-275428032156960","349903011273080","4141852000000","12335343277784","178268578090960","214175800003620","18277067550720","108546090000000","-23832136844296","52577765772340","-340230190514560","-434199125486460","-344863658750000","43955898029544","420754970443680","-10432416474240","234583048580472","10321322250000","315224933837824","-13626729180940","-274489971384800","144579988307040","58648750000000","-98600769721596","527750274999120","529465296024720","526245219361152","137138849368750","289274514244080","-613500269656960","-303301145527680","-630089623911140","233220361375000","32015520323784","-298870882195840","323982556260720","-369655998231912","-41559695062500","-1100240444448256","389927948895760","-458270105413120","743572175739320","49945274400000","-791014101920956","348187160682560","101804534386940","-1250096188155840","12870507812500","1023624069382048","-78067479352200","1047607755058560","-723272148264704","177206543425000","-199292677728936","853260847690240","-869146806094780","-547004492486496","-106452940375000","808091965566080","168043971947280","-1103270489218640","64186628782640","252483984000000","-109755530105878","749225600202800","308921303339700","1414694109070592","39608658937500","136469871945944","-101008014086200","-202249169018880","557532894580300","-122539257812500","952874259495808","-1617771877936000","-488012184301840","183069443641672","-283243309575000","-507535128672000","518659127330900","1174920223149960","-417166829635280","-634911162000000","-31289693618676","-496245008478720","401041738541460","-538202433355520","519376695750000","-1540263893234376","-1239115376161060","492487153416320","397024678116072","188405517275000","-315042251458616","144012873513600","248868000976000","241342002500160","52005078125000","123861460590336","782243105200100","-461763598234720","617225567149680","-329735675200000","-259923424447736","-1054999804226840","129432762984240","429901959391808","9627199187500","-102434799288056","-145611909126980","-131671579250880","-550301584559192","-406896259187500","600348960133184","-989109636404480","413312072758360","1526228426076640","-370938351400000","3308597100762624","918613444702800","1051792913172720","1390848735969800","-212890625000000","1444900341658584","-671064386375040","-1094823994019020","-287636918034240","-269490379387500","-2664306537468672","-1117764324988260","-986514728105600","-2192854371749540","110109385250000","-651387055111656","2554918993838080","-938232044807200","-773931517102728","30454749437500","-1655561070169856","1087291749441920","1889532185595600","666105241164168","1552559607000000","416907368500244","-579724152744280","-1231494927004060","-2613495052397568","37462734375000","306548939273464","-940443616260720","-598871874641920","-167073365311366","2150561386925000","-823873670006680","470553275512320","-921087662588680","480000890538480","-926697548437500","-2482161229062720","1425228245817520","3979155087600440","-374803064901568","-300269036000000","2390273550653484","1808734300647760","-1233791149468040","-124633407077888","50679570437500","2414377281821088","-169852451779540","-309740580151680","243585411700948","-873943750000000","1012917591686000","3499403477005440","-462771287439840","-1124825561957928","-1142417314325000","-1595498149262080","1267586917893300","-1568492594436240","1291550184551048","46027356000000","-603456654644992","-3496591766800440","-851834334434940","-194939749297408","1432668465437500","95890059744024","-825932201495460","-4381104517937280","-414116623191780","7087580500000","-878368549743056","728393452697600","1374400707653360","-2729558115066576","575624414062500","1497955446525952","925460858500180","1087685208591620","-519866819213912","-505578782000000","-317119267845576","-2783496219877840","5603967423109760","5709959532279360","-59727982062500","-6136019528010696","-2015197557508980","4175573061054080","-1739264969201760","-1762458334750000","1512742521695784","-6735425570540800","2004825760921700","3292143285962240","-371427993975000","6063987702390400","-1763778821821600","-2168028296094480","2108384615004800","1193165625000000","-2226919870159796","-950229875918640","225888303450300","7173998349405952","-1444922257081250","4436223278505168","5621613646610300","-1043738654632960","1305294000225360","559269297625000","-2074858403360936","-1660809137655680","-5758806421402540","-3480685894335128","1111783215125000","-1235796131543040","-1017261985825260","-2456436673110160","-1880222402597480","-4297954557600000","-894581059929360","5396389296246960","-1295147943531720","-12135878185974272","190734863281250","7569782315875064","-1854658273994240","6074202032389760","2923066331835272","1127368415175000","5458273241287064","-3014569345363200","1397563833856960","2703025090920472","955390577562500","-15175965346475776","-3789763407256220","-6053800457524480","-110282312263112","23216544000000","-2990787316303716","9031909432548240","876894192538500","4828371787798272","1056655228475000","1421862364413920","-3829100524464740","9545188984179360","-7868780289345280","-788688828125000","-3058038421761312","6855497316137600","2555851599246980","6573361662308720","2695310329800000","5851258272550144","-1131598228901180","-2956005191135760","1515103560763960","4358253344000000","-5889426489171676","10274356510236960","3979794314586640","-8179944489743040","-1029028035750000","-41389937912456","2867385475416120","-15467593493397120","141173867245768","1530102487275000","2177056780943488","-278730004546560","1151793101483940","-16389736659637928","-261417578125000","11708654105825472","880995689947380","-13948386283507600","2810278950378072","-1842927129000000","301520572031384","-5167748505300480","518013310782420","-3379008048782080","192735306187500","-921863361320400","5857609071880920","6859698035311360","4845364337948008","-5481055521750000","-8405992332561616","2109425739623040","4305827112224640","11343599520476072","135413287375000","-1220513620560000","-3953563801533320","-9402856979111000","-8201871279032472","1598493750000000","2192065068905204","-15496613452029920","6368812068258640","11045423259123712","756547694425000","2979776253528984","512591504610600","6204092418398720","6849760988390060","1649982535750000","2482122379485360","-7088742760017600","6915899742198480","1202498774123424","2015807494000000","-6219584145506560","-2294898703953440","26543687098036320","-2251459973492880","-3733381145200000","2048798080971384","6576103403505180","-5046555664159240","-7828998205053568","919339648437500","4253748698140472","1997555212418380","-8015582000177280","5922091780582474","-4783136246075000","-1710830244584696","-2577324199412480","-12176253440049980","-4051160590048728","-2513952091062500","-18411452585227776","-1939129198945920","4571238446439560","-9060621062469160","4082204294000000","7866500560798880","-17642566679138160","-11017868390191100","36801737808549120","-5776710747812500","11270895434173144","4542238674840180","-11399913056061440","8468193918052872","-1836669921875000","804212839315304","3113898318967040","-4542290406445440","10774051109967760","-5429963276575000","-2521353803619840","-12717323410097500","12272228237108560","-13116771930710784","-3050486010000000","12228182972175924","-8547735088473200","-8078490119702280","-28146166997604608","1724231840937500","-14221405350374376","9759800442119440","13450475536793600","7019915104463620","9418232704800000","-3444111404640216","23266085381717120","16693426527176340","-4018362665792392","2388119765625000","27397041305762880","9355106324187120","15115770761009880","-9498349971956560","13310969192800000","-8433120967791872","13154340155524080","-8516987372306800","-16749965244125824","-4971542827812500","-22729291812141312","3332377965101420","-19872526937996160","2934491458298408","6415866289500000","-13107815800544136","-6512644994012160","-1756304471853880","6727383516593272","11671238332975000","22887128156147200","-21031064578785340","4371909364130880","-4058031119033128","-6125987500000000","6320197984238580","10085894519718360","-1563482180827520","-22072819148260608","-5399269071075000","-55583200928974752","22681482894123880","-29104458438588480","15857486067699860","-9264181445687500","26351557294576224","7995295757057280","9526601850312560","-16190067376238336","-4868991194562500","8113487928518144","-2935868448575920","-11702820062361880","-3193906260998472","2998105344400000","30553856882534244","-2628639716659920","-15925384903966460","22919906143460160","-4318943750000000","22206939771948960","-10140250428082820","4905310819843200","-7997157752246220","12882363337425000","-8965621890981816","6904610602065920","3393173089165220","-13099522037122720","10210958799562500","-25036506661703680","19484453865206880","13656108679775440","18538291468703840","-6048321966000000","-13589270184238658","8621620807164760","-21728728904513640","19694259680602112","-7638024190293750","8699176753432744","23794949499834300","70123224181610240","1565300876936328","4349199921875000","1388251493736744","-35868487404730880","-7038410049220620","-6290220248431536","3821808937375000","-37598132282713920","-38169790670527100","4912152704115200","4366388187980360","-10016868146000000","-12515560894425072","-31834606119216240","-5517034623352540","2431148739537920","-4681474957312500","-9773172864171176","8540029664704300","19102905446929920","19378590898306560","-4601556544250000","28285337794434264","-68905300954334400","-19297658649258460","27967163755571040","-1766967773437500","54492478891542784","5664521812676580","13168879328987680","-30126047920994712","-23666628851200000","-9785070032172836","12327275379947740","40997768707972420","-14051751672371968","-8103967738250000","23268997122902904","-25033602940550580","-56454449476817280","-9553453677268728","16084973906625000","-8661953697251776","31311002542375040","-10534099242626960","52492565788663600","889060949125000","361096828047360","-17235438308130480","-62636156943614200","-8498454082485840","1781433125000000","-27794447457160216","51517631182565120","-5598604057466640","57976986040061760","12656189050112500","61379378306078368","56213124353406300","35495778001187200","12327601701774108","-3157946492250000","-29245244707960376","9746632773729280","30995821176435840","-70125313500582728","2714235873875000","211873268999040","-28444497118012800","-8207984561966560","-23588341431136480","22057302627000000","-18161579389707016","-52619581735864440","57081891303356720","-36453922621648896","205109570312500","-30138104179697736","-15437961645318700","-24282557158627840","13571892856623980","-36327774195900000","4969476652614760","30058544929994880","33647754322031760","-4983037505487128","13882778726000000","-37270522783001280","-34199033144083980","1463522583636720","37339116855485608","10638071978000000","-7295743815941716","52162019150389040","-22893969441870120","-40825516443466240","7631837787750000","-17043403968401152","43870952089780860","-40214220047139840","-56462184446669272","9196799218750000","8643770503800584","9204683273688960","-11569188399826220","-8028663634739432","23362221939425000","-503425447866880","-26484762488648960","-101730697224390240","-952869037503528","21680825216000000","41831827162469986","119864464503907760","-2312655464008980","-12560031147809408","-21659674046562500","42207647138761248","3096091900413340","40067097246514080","5006373328596640","-51578255721475000","-14717205069319056","77803329943346560","11455857544703280","-36095905128627928","-6095742109375000","14579948095216384","35555126501297380","58489872087954800","50328285932311680","28088660612600000","50895665139849620","-98660650235450240","-32832902968479180","23153377829646720","14428286540437500","22938768876763280","-12724156863898800","-14661842007887360","18003736124720808","-11728369058000000","-21300659650645016","-93148156748528640","53715455075576160","16577536364892384","-16534869913750000","-95803386541575936","23301634781464260","-74456703192222800","-60382311169209680","7514648437500000"]}],"seconds":0.303,"computed":"atlas","estimate":{"seconds":0.53,"low":0.323,"high":0.916,"bytes":1825506}}