Starting with polynomial:
P : t
Extension levels are: 1 2 6 10 24
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
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Trying to find an order 6 Kronrod extension for:
P2 : t^3 - 3*t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P3 : t^9 - 117/4*t^7 + 945/4*t^5 - 2205/4*t^3 + 945/4*t
Solvable: 1
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Trying to find an order 24 Kronrod extension for:
P4 : t^19 - 23713751/205892*t^17 + 2134183615/411784*t^15 - 48885080515/411784*t^13 + 623352876985/411784*t^11 - 4536269518165/411784*t^9 + 18427952550645/411784*t^7 - 38805894891225/411784*t^5 + 36681698574675/411784*t^3 - 11110847880825/411784*t
Solvable: 1
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Ending with final polynomial:
P : t^43 - 11040571749013358933481209419687213617101082066309828785108969884646983688213880601188159564236139968639738873667311223600513742139/14272722420317887776996448819841877739536282655840445999859089841783705318879730606022119080762864244048989320317034504928404660*t^41 + 126582162591073893031000226462506283844266822260677093756162051850545559025046491543766532022748563359762524699603097498882664358242723/485272562290808184417879259874623843144233610298575163995209054620645980841910840604752048745937384297665636890779173167565758440*t^39 - 4978781160390977656493454055336177312733375155436120261285715069064692250521021845760836984362893503809221451238453636055989958591425867/97054512458161636883575851974924768628846722059715032799041810924129196168382168120950409749187476859533127378155834633513151688*t^37 + 642380288955154461151290824552281453107764246521603004575545460377229135821875201738700014677029973314445614874476285909949333040114428181/97054512458161636883575851974924768628846722059715032799041810924129196168382168120950409749187476859533127378155834633513151688*t^35 - 405115338395634043928519770088954127376584127402867361751214347403898192247983207449535838172592574363102607812555514478264780767010833747289/679381587207131458185030963824473380401927054418005229593292676468904373178675176846652868244312338016731891647090842434592061816*t^33 + 13223773385479088729892408498883435939076652915373994157716344194471472115550297548992805312290848502582117717473640988186749143744713972658887/339690793603565729092515481912236690200963527209002614796646338234452186589337588423326434122156169008365945823545421217296030908*t^31 - 640232370510325952682382867460818834244036020805123559960256849842069426975220815789210356669544344446576043649956687997074409266533904788975571/339690793603565729092515481912236690200963527209002614796646338234452186589337588423326434122156169008365945823545421217296030908*t^29 + 23322123594675087273312075384075327241560535765945356810095930242992605829639417868077253219631859260550175962488848976580922583380790906546588285/339690793603565729092515481912236690200963527209002614796646338234452186589337588423326434122156169008365945823545421217296030908*t^27 - 644586596140084854910350452547702118825157271253293730552852397706558051074696161040732844481682832948453696924613038008495781665975396044907434455/339690793603565729092515481912236690200963527209002614796646338234452186589337588423326434122156169008365945823545421217296030908*t^25 + 484518450872153369165940486753746513135103245069300100235541563139987960353284084011183709500760618410146324613706477465399669457187030858692590600/12131814057270204610446981496865596078605840257464379099880226365516149521047771015118801218648434607441640922269479329189143961*t^23 - 3196218704026966959112120352417293698685733366708491743075892807675770542833899683459884804857131690962752271136381135211606093604951121664201325500/4995452847111260721948757086944657208837698929544156099950681444624296861607905712107741678267002485417146262110962076724941631*t^21 + 94237292448441820991672460209336567025620015706304061340723199590198264175555656501714510040579773474401190513545718438891691094827867862328783213000/12131814057270204610446981496865596078605840257464379099880226365516149521047771015118801218648434607441640922269479329189143961*t^19 - 101092092758431402286813985118844318673248925147373258664591348904295034551060784236819938291790024808196956451400848253969057656034629920777524720125/1427272242031788777699644881984187773953628265584044599985908984178370531887973060602211908076286424404898932031703450492840466*t^17 + 1364684073514899136796322751274205922428211803291346161827898690647769355782972207424726096149678057824272324980988591296406476610193549495482260639375/2854544484063577555399289763968375547907256531168089199971817968356741063775946121204423816152572848809797864063406900985680932*t^15 - 6669320421351857835388247936499287489584373958762419632071753373371596459948481562096321842857742325317761048367286084374661729647979433924206636816875/2854544484063577555399289763968375547907256531168089199971817968356741063775946121204423816152572848809797864063406900985680932*t^13 + 22827102510010013950340749934489305864313881636040152809739452423107993264934132181168621728116708822347443358527476658237764327486165106963255914504625/2854544484063577555399289763968375547907256531168089199971817968356741063775946121204423816152572848809797864063406900985680932*t^11 - 1857452556528524581771677624224041379723467392915649601990956125240579492150269347426571176190471759076084104711469577991415219722869920270497825334000/101948017287984912692831777284584840996687733256003185713279213155597895134855218614443707719734744600349923716550246463774319*t^9 + 145502211303882904596465117148662980597379857953510142655337591483238373626208183936625403395934917603774019833973180215332699218185980905759019545555625/5709088968127155110798579527936751095814513062336178399943635936713482127551892242408847632305145697619595728126813801971361864*t^7 - 15541150120211047601919893434593695339058146717793834915703051027759252698128943260464488011964843708891002363653827550112760250480839626887589635261875/815584138303879301542654218276678727973501866048025485706233705244783161078841748915549661757877956802799389732401971710194552*t^5 + 4730305143459895636839760561484209717858315145637335423756212768642595522020857806450802774288055934893676796880748146847274915456107729812907197798125/815584138303879301542654218276678727973501866048025485706233705244783161078841748915549661757877956802799389732401971710194552*t^3 - 280685744877167688804622666167778670943586644131086346581972590372160671266507084554536803896127456675829429020029427431409249382403825917944649346875/815584138303879301542654218276678727973501866048025485706233705244783161078841748915549661757877956802799389732401971710194552*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:   41 out of 43
Indefinite weights: 0 out of 43
Negative weights:   2 out of 43
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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