Starting with polynomial:
P : 32*t^5 - 160*t^3 + 120*t
Extension levels are: 5 14 32
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Trying to find an order 14 Kronrod extension for:
P1 : 32*t^5 - 160*t^3 + 120*t
Solvable: 1
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Trying to find an order 32 Kronrod extension for:
P2 : 32*t^19 - 161072/33*t^17 + 37235888/165*t^15 - 52394888/11*t^13 + 52122616*t^11 - 305527040*t^9 + 935949105*t^7 - 2754381357/2*t^5 + 6473363715/8*t^3 - 1927283085/16*t
Solvable: 1
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Ending with final polynomial:
P : 32*t^51 - 1459424030363858787147307302990427685031575060979229918753077804509630181627958416817833319215896332551470512/87745432851566710976812014670979861123532323561578632873722248162267583652943548832103083537299186737097*t^49 + 833958955284724527428990177096391926117545380458631823969796511073103244684190539745870055445315562255591463976656/211905220336533607009001015430416364613330561401212398390039229311876214521858670429528946742577535970089255*t^47 - 119462932772966897811096647632741457325298110545660895342497595207001936208086113855380641221255715971931614303435016/211905220336533607009001015430416364613330561401212398390039229311876214521858670429528946742577535970089255*t^45 + 8520862540544831245671399163388202656198869816824602695886976324095070312153520202271105514275264866704452444510533264/155397161580124645139934077982305334049775745027555758819362101495375890649363024981654560944556859711398787*t^43 - 256336294163073537077173873966725087663864481579610285851855486522028677456190817836016188833564844780473417882855885004/66598783534339133631400319135273714592761033583238182351155186355161095992584153563566240404810082733456623*t^41 + 19690671703039150766524543997149857367339812720796388445799900407694829249447652656443232271272893740428194017024608189785/97336683627111041461277389505400044404804587544732728051688349288312371066084532131366043668568582456590449*t^39 - 528935386513286922257188486160114971949941912361000985656312372149045121947154268384036156328446298808343819852680136452111/64891122418074027640851593003600029603203058363155152034458899525541580710723021420910695779045721637726966*t^37 + 199124845866541242925118575943555937344495760290113276778839932383968942131331371385061965978746259042105424864376260954280217/778693469016888331690219116043200355238436700357861824413506794306498968528676257050928349348548659652723592*t^35 - 3530125776103452256869600338891658870547845088648255544017543166182018409755303697972009194368607859312351232466751352718865/559607236088313569306661240419116317095534818798319672593249582685231023017374241502643441860257750379248*t^33 + 2904120330630376794667065641012277055484230842444005443177980704031158638069914680287652904925377140092332304776099287109855455/23596771788390555505764215637672738037528384859329146194348690736560574803899280516694798465107535140991624*t^31 - 89837958676404227821608900280663591393208969594182980613896322634714739708559475247551636748238580900647417649405378296522848475/47193543576781111011528431275345476075056769718658292388697381473121149607798561033389596930215070281983248*t^29 + 1101103308114756643438618116268394826649786472032626874457934170517180878043254396695956252675319006421259508333792200691985936975/47193543576781111011528431275345476075056769718658292388697381473121149607798561033389596930215070281983248*t^27 - 592227917909994481778211978175419151135773235238231094838375540583748318495941825187182719863183643678912227631010146212404921475/2621863532043395056196023959741415337503153873258794021594298970728952755988808946299422051678615015665736*t^25 + 3131888418688050783047008737378545849804490995740278979842194315104878274867729651297140166411830099411393905731621061496762369375/1823905065769318299962451450254897626089150520527856710674294936159271482426997527860467514211210445680512*t^23 - 37060554915740467582237943076054797143642708082372348089935300520053192509962568415041313044651016278690333788642372264848680896875/3647810131538636599924902900509795252178301041055713421348589872318542964853995055720935028422420891361024*t^21 + 70989539468764148941305034038429465822977650016253173774664313699953004517516543743214350635505001985167949227962500662933883939375/1535920055384689094705222273898861158811916227812931966883616788344649669412208444514077906704177217415168*t^19 - 488697517246311774721733036523319972126698854315125143720403800550834581700766303942402006366459125198945303393596079145670993067125/3071840110769378189410444547797722317623832455625863933767233576689299338824416889028155813408354434830336*t^17 + 1246124427031784230670181016379605504398440293203860107247454996930500537308360527904426684116801111479656862620780649365783248955875/3071840110769378189410444547797722317623832455625863933767233576689299338824416889028155813408354434830336*t^15 - 4579348313680312682991676432981670140000983621858811764837965606404898450768081262740742826140465392517815483383026857538455972619375/6143680221538756378820889095595444635247664911251727867534467153378598677648833778056311626816708869660672*t^13 + 132839642686791049206503745922727216278452675269323175751545829048383776981508386430875592139954783635825922123574131315959315713125/139629095944062644973202024899896468982901475255721087898510617122240879037473494955825264245834292492288*t^11 - 896883568509277348118135079023938025677269147355474458335079351809721127523760764030658183166122805107869502170396068236662552953125/1117032767552501159785616199199171751863211802045768703188084936977927032299787959646602113966674339938304*t^9 + 1873003737365984016707975628716387580837481524821005304029515190298488311860535144603136547179752742191332645993386072893248093356875/4468131070210004639142464796796687007452847208183074812752339747911708129199151838586408455866697359753216*t^7 - 1109655324453458106876179965530920983369281226136484414329977169804499417441653956790384405775816374512977916663752474069528612354375/8936262140420009278284929593593374014905694416366149625504679495823416258398303677172816911733394719506432*t^5 + 670507374594183255728158314758949414630309045933833808293058810642897214501074999360767931853605591411520612283255919151341897028125/35745048561680037113139718374373496059622777665464598502018717983293665033593214708691267646933578878025728*t^3 - 79678458941391570434768471026367654053172733616464304519083624029612598960238255597343453992703801589737820348969847674287371771875/71490097123360074226279436748746992119245555330929197004037435966587330067186429417382535293867157756051456*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:   49 out of 51
Indefinite weights: 0 out of 51
Negative weights:   2 out of 51
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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