Starting with polynomial:
P : 2*t
Extension levels are: 1 4 14 34
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Trying to find an order 4 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : 2*t^5 - 10*t^3 + 15/2*t
Solvable: 1
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Trying to find an order 34 Kronrod extension for:
P3 : 2*t^19 - 10067/33*t^17 + 2327243/165*t^15 - 6549361/22*t^13 + 6515327/2*t^11 - 19095440*t^9 + 935949105/16*t^7 - 2754381357/32*t^5 + 6473363715/128*t^3 - 1927283085/256*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^53 - 418313987895796250264732305810739641229306913167703306430698070705020000777059650337582482009037701865687390802718891/365647758348046586595500362053237969559139497873017676422564541071752736738173161518266278197126512852408009787982*t^51 + 16462827807300024611693792015458431408196782819802555465548554989184822593357585388047232296287467361923027342877637513949/54847163752206987989325054307985695433870924680952651463384681160762910510725974227739941729568976927861201468197300*t^49 - 23710489848670123246244362811111077002587731742727486155419535769349673532697287270803940475807278854495788487699119647754247/493624473769862891903925488771871258904838322128573863170462130446866194596533768049659475566120792350750813213775700*t^47 + 54273887334014933163555752018813161981736077900906860808992473875832794843796756881526158763105992998400220411653169317035984853/10321238997006224103445714765230035413464801280870180775382390000252656796109342422856516307291616567333880639924401000*t^45 - 792165623399604973818709582586053773881244400594637393530755172050492269742458455356690862725646001363634880030192977328697052241/1892227149451141085631714373625506492468546901492866475486771500046320412620046110857027989670129704011211450652806850*t^43 + 3141036226349288422116928707818366107070283848370022169664592037871945220691781607559273691335097459914398580412840515848771463651897/124886991863775311651693148659283428502924095498529187382126919003057147232923043316563847318228560464739955743085252100*t^41 - 93336941376442000523112262838937597054902382383410385210592399869353138004978664663323931759466100129235184818887679756201971517158161/79927674792816199457083615141941394241871421119058679924561228161956574229070747722600862283666278697433571675574561344*t^39 + 945107384233772867978021198669837665615170397675727757852918779819896683395090870033928172464318655283522349971636173820424518357590349/22202131886893388738078781983872609511630950310849633312378118933876826174741874367389128412129521860398214354326267040*t^37 - 19675612583885186083146855202824090171091647337670888378128343488486281947418485898516603375736732432898573800221087929188251444272017010797/15985534958563239891416723028388278848374284223811735984912245632391314845814149544520172456733255739486714335114912268800*t^35 + 1501065663988698894945515035526991613253772712131281254939770275011319649024028970165661388262454584910409935217283710902255988448727586133/52844743664671867409642059597977781316939782558055325569957836801293602796079833205025363493333076824749468876412933120*t^33 - 50842181975364162569756560825615392102179494298368778588564284689384938365134053099845555614178146581126565962158203174421328480341344128611/96882030051898423584343775929625932414389601356434763544922700802371605126146360875879833071110640845374026273423710720*t^31 + 300865091693239466517814759591630576475650265599762404719827042201984664040630556326111596390224829753632215541097833412525264526263794363297/38752812020759369433737510371850372965755840542573905417969080320948642050458544350351933228444256338149610509369484288*t^29 - 3556336502562969241389964685162476808275324250122813154000732290357169407620863227654138669406861188701224861243954786294477150344227428479337/38752812020759369433737510371850372965755840542573905417969080320948642050458544350351933228444256338149610509369484288*t^27 + 7429420575595372640185907591154874165786516318876732511016952778828742152934074325362470500523397064309143814488983555612644704500052590201461/8611736004613193207497224527077860659056853453905312315104240071321920455657454300078207384098723630699913446526552064*t^25 - 9591616212851460206384901260359224489104185956086123111598198154454694966443898980114227347257495043120030602800675639322652624969486872915175/1497693218193598818695169482970062723314235383287880402626824360229899209679557269578818675495430196643463208091574272*t^23 + 20245279301030738131040344357715279603947975249740307275145339994889106990640528318965903289141957984874080192025417994395480201495617879226525/544615715706763206798243448352750081205176503013774691864299767356326985338020825301388609271065526052168439306027008*t^21 - 3990700336751610178349853028161271515584063384962194934400052274915505837893705066779359633459358062918955239717274094346609972030875138749395025/23963091491097581099122711727521003573027766132606086442029189763678387354872916313261098807926883146295411329465188352*t^19 + 27135560299877185261490284835057347844610551043411824292449073654870838868656336850490179640345778403073825981635738038691349092062199720944271925/47926182982195162198245423455042007146055532265212172884058379527356774709745832626522197615853766292590822658930376704*t^17 - 68506612845678183544803107619820902745731888836270474373747324414924817225584755890940899333019988767707143286465920010328647769368226650610258865/47926182982195162198245423455042007146055532265212172884058379527356774709745832626522197615853766292590822658930376704*t^15 + 249676922209743617518631686833453433035074261154824953873003060030490099093112806822655335027954728651072866623311211147729787249383297616516681075/95852365964390324396490846910084014292111064530424345768116759054713549419491665253044395231707532585181645317860753408*t^13 - 14376377758767161591715498244408053794002949593630378885118232778983628582369106673037073227913017966010960056397564975519954294096262756098154825/4356925725654105654385947586822000649641412024110197534914398138850615882704166602411108874168524208417347514448216064*t^11 + 24048898948409513915522011051840239720457300849031639554664535871909222978924532898702807180669779616140547095258426195187488284378862454089815125/8713851451308211308771895173644001299282824048220395069828796277701231765408333204822217748337048416834695028896432128*t^9 - 98724767160899566735103082734342816657805176155820245672356273754525872350836173889783921616874767688785562093876933531237230665303793540356319625/69710811610465690470175161389152010394262592385763160558630370221609854123266665638577741986696387334677560231171457024*t^7 + 27811808018867978513676067850237877759781646985539311844315241022996848507886318210082790811109802717512123514456992864783154169412472047049130725/69710811610465690470175161389152010394262592385763160558630370221609854123266665638577741986696387334677560231171457024*t^5 - 28599230390192992312300186415823301038870396008838771089465037831926841345196879265270546102731887793373731462880112003127270458629143582999630875/557686492883725523761401291113216083154100739086105284469042961772878832986133325108621935893571098677420481849371656192*t^3 + 2261401261503784852686748288065936459450081809965977621022129425940392794138749914464118549708448634974341368003205127494969342536214366421290375/1115372985767451047522802582226432166308201478172210568938085923545757665972266650217243871787142197354840963698743312384*t
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Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   51 out of 53
Indefinite weights: 0 out of 53
Negative weights:   2 out of 53
Extension rule has valid weights: 0
**************************************
*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
