Starting with polynomial:
P : 512*t^9 - 9216*t^7 + 48384*t^5 - 80640*t^3 + 30240*t
Extension levels are: 9 14 26
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Trying to find an order 14 Kronrod extension for:
P1 : 512*t^9 - 9216*t^7 + 48384*t^5 - 80640*t^3 + 30240*t
Solvable: 1
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Trying to find an order 26 Kronrod extension for:
P2 : 512*t^23 - 847253248/18099*t^21 + 10526171264/6033*t^19 - 69724285120/2011*t^17 + 2436061827136/6033*t^15 - 5743770803680/2011*t^13 + 24755471460720/2011*t^11 - 63531751923640/2011*t^9 + 92322361281150/2011*t^7 - 70208873169435/2011*t^5 + 50216778386775/4022*t^3 - 12961617443775/8044*t
Solvable: 1
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Ending with final polynomial:
P : 512*t^49 - 2687276332023929663795686490499335529569343342061942969064554193980565218613076062332636457849802207395924631172736/13423746162173595341629052375822682190056805916938167382709861175241526604500687539895039846171182794464646051*t^47 + 73199628484905869711152646609014240183182035985822278685428548559525238594557923398803563577664115980234873942299470912/2053833162812560087269245013500870375078691305291539609554608759811953570488605193603941096464190967553090845803*t^45 - 2627643089701331501207951926732904619769360832556808695075780134168836492845381375435234298390177595326052752630015416160/684611054270853362423081671166956791692897101763846536518202919937317856829535064534647032154730322517696948601*t^43 + 575395585999715717709126750033219544041151085711989694855465128960976413838349940799155170151060109208666439653761826224336/2053833162812560087269245013500870375078691305291539609554608759811953570488605193603941096464190967553090845803*t^41 - 90703800267463748320914064194411716769648330632431882721421424216178182023770045013128744148303794980640283492210819846516248/6161499488437680261807735040502611125236073915874618828663826279435860711465815580811823289392572902659272537409*t^39 + 1185743924332657425782833112910294296124129229309118184143785754814608013901366812353660979198201629514492009053343015153971956/2053833162812560087269245013500870375078691305291539609554608759811953570488605193603941096464190967553090845803*t^37 - 11838645150566807932214424948385453377495773894659766823018340252632750469993716406896780575305567091343400023272861141745412222/684611054270853362423081671166956791692897101763846536518202919937317856829535064534647032154730322517696948601*t^35 + 824671142364804732598950646306120857270160786728859611354282631577448061078058194711786768386473550609942041117205795233928394535/2053833162812560087269245013500870375078691305291539609554608759811953570488605193603941096464190967553090845803*t^33 - 4994827992012840526803887097043961922506022656350249844866186654191719881384747425303408765145170302661677093350315583602652141375/684611054270853362423081671166956791692897101763846536518202919937317856829535064534647032154730322517696948601*t^31 + 47597132478042263984967309152762330603466478553737523490598308355477380256667320158842038797565219861112045196871910999128930224865/456407369513902241615387780777971194461931401175897691012135279958211904553023376356431354769820215011797965734*t^29 - 3217411420615447543809440231647493970980685197566784460084475598206476776224100936710738474379451699233984575251204295465629276415715/2738444217083413449692326684667827166771588407055386146072811679749271427318140258138588128618921290070787794404*t^27 + 2114066654187450609791323855241157728710091928507330429117110526085094910332663705538455659359978803148939656106786620493587507564765/202847719783956551829061235901320530871969511633732307116504568870316402023565945047302824342142317783021318104*t^25 - 29416036275805506407892898257229914783003941200104355217998430553853388756537854798759870974179417576463648658064123554726760464450125/405695439567913103658122471802641061743939023267464614233009137740632804047131890094605648684284635566042636208*t^23 + 318850757983765116497309075631008207686466428147908841610249739714412332342631767990210282770048588110884923120105289389963826548873625/811390879135826207316244943605282123487878046534929228466018275481265608094263780189211297368569271132085272416*t^21 - 2665467255432820263873594786503331672003234676437351683111491457526838762985789059666800220418798244337782669857483833363416068381105625/1622781758271652414632489887210564246975756093069858456932036550962531216188527560378422594737138542264170544832*t^19 + 498495083336450384532419303485513648914925999141413785775007420955116543843842329065891962735468345626534484260329374152748683178894375/95457750486567789096028816894739073351515064298226968054825679468384189187560444728142505572772855427304149696*t^17 - 9467186302601486795926326189148784613386567781173741233608786625706146152423498584751800737223724466832950155722687838937841945820170625/763662003892542312768230535157912586812120514385815744438605435747073513500483557825140044582182843418433197568*t^15 + 32742809911466960393632018258254467244403135803077010097500349930394096699241971232210467935599207032396734837288493503028733585793828125/1527324007785084625536461070315825173624241028771631488877210871494147027000967115650280089164365686836866395136*t^13 - 79779796483547503935763109170043481546749990924885439814441715387405927352293864870681625042366184114855537395102320154534375252003268125/3054648015570169251072922140631650347248482057543262977754421742988294054001934231300560178328731373673732790272*t^11 + 130734733531873512122844046379557769357154540501967210516601076351710357886824124153044123531705985234257369786830959512387992480201445625/6109296031140338502145844281263300694496964115086525955508843485976588108003868462601120356657462747347465580544*t^9 - 134719215476321992952514769168067402388773071924540825301576284455540702294133764869296528325820365745016839768716081357992715882509513125/12218592062280677004291688562526601388993928230173051911017686971953176216007736925202240713314925494694931161088*t^7 + 78674745079800699706859298489814672507510339102104231501021947234636566742817779373846973739139495639187669511233562443941971792509460625/24437184124561354008583377125053202777987856460346103822035373943906352432015473850404481426629850989389862322176*t^5 - 21553872588401710738228946401522692571865352665061919994616822027148734401698840062096271251004928953316099559373326267790535504914340625/48874368249122708017166754250106405555975712920692207644070747887812704864030947700808962853259701978779724644352*t^3 + 1685186845127382673824269330494937470004866243534082482931040765862865430004991700089068725149736818561694734479541907437747976425034375/97748736498245416034333508500212811111951425841384415288141495775625409728061895401617925706519403957559449288704*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:   47 out of 49
Indefinite weights: 0 out of 49
Negative weights:   2 out of 49
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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