Starting with polynomial:
P : t
Extension levels are: 1 4 10 34
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Trying to find an order 4 Kronrod extension for:
P1 : t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : t^5 - 10*t^3 + 15*t
Solvable: 1
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Trying to find an order 34 Kronrod extension for:
P3 : t^15 - 1805/21*t^13 + 169685/63*t^11 - 2447225/63*t^9 + 268675*t^7 - 846835*t^5 + 1039225*t^3 - 327525*t
Solvable: 1
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Ending with final polynomial:
P : t^49 - 4175800205808505672520320090786198999805978345308978443685245435150381643997343295853489/4590629804181073661263159751716754087714196155258679218560831995805786188647872427496*t^47 + 1639633442027414667183921517477927533365639865733293557910836978694224563542005361199709720153/4338145164951114609893685965372332612889915366719451861539986236036467948272239443983720*t^45 - 3224001978586333697225100349480918863501361774349694221876997003445050706332371000278738334502641/33837532286618693957170750529904194380541339860411724520011892641084449996523467663073016*t^43 + 236744622419333190661335716380685164876887194671393693222072429147849178429133444756845441862551561/14501799551408011695930321655673226163089145654462167651433668274750478569938628998459864*t^41 - 204913304471979855280122079027876331999195528039473245799213203871201803099814802953850243949393547175/101512596859856081871512251589712583141624019581235173560035677923253349989570402989219048*t^39 + 6316533025430263551483970362931845268601710122239858784069040298489318324671947729402795692387733947005/33837532286618693957170750529904194380541339860411724520011892641084449996523467663073016*t^37 - 9118187731350101871789057357350193072553957422696970314921971475049982440619167281652153329663607361551/690561883400381509330015316936820293480435507355341316734936584511927550949458523736184*t^35 + 3502705545374631251376036636993091822085826256436846332138207398476869859612758763804464314050421287821165/4833933183802670565310107218557742054363048551487389217144556091583492856646209666153288*t^33 - 25067979424138137839153374150874514976438182329410632715812941909067995730721847733387997460237504089338635/805655530633778427551684536426290342393841425247898202857426015263915476107701611025548*t^31 + 845823351087858857131392077188279206277381522984991943535999708992932508774412080795127326786808437148569475/805655530633778427551684536426290342393841425247898202857426015263915476107701611025548*t^29 - 3205634250434898003043614006112402984493730884283728105036220656315531643217682298473803555745498140168579975/115093647233396918221669219489470048913405917892556886122489430751987925158243087289364*t^27 + 1330179635623195626049131204605440707400948836783403659056003712436407028024498971506436915444588391989345275/2295314902090536830631579875858377043857098077629339609280415997902893094323936213748*t^25 - 7195269663505307303147833907171441634427250020847203123040057995535839181800642264815269256739327243315488125/765104967363512276877193291952792347952366025876446536426805332634297698107978737916*t^23 + 12896858368647880770186691960140958643016749497321164262734706386020166701602750824595437156586933435110866875/109300709623358896696741898850398906850338003696635219489543618947756814015425533988*t^21 - 41202187137980680290277682657151375631564035826849532330807614040520678758496402607458993471337691028977991875/36433569874452965565580632950132968950112667898878406496514539649252271338475177996*t^19 + 127221201665247331790886152292500751388320140206688740326828652008171602840322668239284286840539684012099044375/15614387089051270956677414121485558121476857670947888498506231278250973430775076284*t^17 - 9447119284826398906207668212197093454781066672534450982220901963909053216580797983806318632255270726235393354625/218601419246717793393483797700797813700676007393270438979087237895513628030851067976*t^15 + 1709550630279463198340996190013364426054780341225152068435371517453887637624286058829132090403514989993405923125/10409591392700847304451609414323705414317905113965258999004154185500648953850050856*t^13 - 31426373789790618575568913313928035074200404377195029518261909575910999869788663949923167981671865478150059650625/72867139748905931131161265900265937900225335797756812993029079298504542676950355992*t^11 + 54245925137612520539265552783291583499632798397459586738346384885169279236529081016074534150271100401476833053125/72867139748905931131161265900265937900225335797756812993029079298504542676950355992*t^9 - 2716809932920654938137836567477849613175758991348831697247691029853075398392163129876923655640419236839070940625/3469863797566949101483869804774568471439301704655086333001384728500216317950016952*t^7 + 1521983973176400770096156310676939892621577306251042758179112904278014889618301667215480307033748794226530230625/3469863797566949101483869804774568471439301704655086333001384728500216317950016952*t^5 - 331693360783493209857351330325205866213699516361766042363268026742383091397561171168445125333640941475310696875/3469863797566949101483869804774568471439301704655086333001384728500216317950016952*t^3 + 4565967048866500492887700704482738760709333621071055677585247560936990098297633603659688510011099956590334375/3469863797566949101483869804774568471439301704655086333001384728500216317950016952*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:   44 out of 49
Indefinite weights: 0 out of 49
Negative weights:   5 out of 49
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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