Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 7 50
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Trying to find an order 7 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
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Trying to find an order 50 Kronrod extension for:
P2 : 16*t^11 - 328*t^9 + 2112*t^7 - 5040*t^5 + 4095*t^3 - 1575/2*t
Solvable: 1
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Ending with final polynomial:
P : 16*t^61 - 639123232579787403398883107655972139594520282037260459569598192947237212734208091677947152149148/50185587552305397088135293698791516025413216192455716071143255082039813043757627590728910041*t^59 + 33841745009807848439994054800476778037308383738181401058795034447002831905836652027922954941050006/7169369650329342441162184814113073717916173741779388010163322154577116149108232512961272863*t^57 - 4187201433583664251850685250644719207442994480253767857583965160982658679810658596973964854977641351180/3864290241527515575786417614806946733956817646819090137478030641317065604369337324486126073157*t^55 + 667871905674191422322863550857891194654301058903291637280162276441507526401459045441546735476009828546315/3864290241527515575786417614806946733956817646819090137478030641317065604369337324486126073157*t^53 - 28627075379380359541565710940045635397828854479955867115186947807498032407436045623173727424543101022138825/1405196451464551118467788223566162448711570053388760049992011142297114765225213572540409481148*t^51 + 56967521442231230933736363665681892900373349583112222123144510072101301641687628101512295517078974701931602025/30914321932220124606291340918455573871654541174552721099824245130536524834954698595889008585256*t^49 - 10340528236309185006452992539704122154688586662906508755748918790498671502636337772043402904633339275777227800/78863066153622766852784032955243810897077911159573268111796543700348277640190557642574001493*t^47 + 409518761565027971451951619385282387877725576972404418737068891675014947187814427063182369196226432138228499375/54861263411215837810632370751473955406662894719703143034293247791546627923610822707877566256*t^45 - 6863287206773352659221944723911884862094451688670495298600320503945434678636242815098472382151148357211492532875/19949550331351213749320862091445074693331961716255688376106635560562410154040299166500933184*t^43 + 516327969467520883350800159317927691247669367382949087029806823853024947118871288352265915658183810319906464637625/39899100662702427498641724182890149386663923432511376752213271121124820308080598333001866368*t^41 - 7968059292637475700986177654256749039825486301333433783418219374459287739323324010610779471687747116587427925917375/19949550331351213749320862091445074693331961716255688376106635560562410154040299166500933184*t^39 + 809714338457269421062330249411447523797033880381290110396192980476660439859102028350988344474412997607166841796694875/79798201325404854997283448365780298773327846865022753504426542242249640616161196666003732736*t^37 - 67818338497390518085729472641532272570863036777524860771469105805170867187811695413879850542054000336443496598444181875/319192805301619419989133793463121195093311387460091014017706168968998562464644786664014930944*t^35 + 2340152978353774612886293491772624917167116549480248454438471417398294145578977980012267179996126805553389951607219345625/638385610603238839978267586926242390186622774920182028035412337937997124929289573328029861888*t^33 - 2075565033017936588260330531867660768070417903212980310949305458759409940495073033996336563158671267372145635903453661875/39899100662702427498641724182890149386663923432511376752213271121124820308080598333001866368*t^31 + 772781589551746179614393733869947633571187692273581920907845017098874111533973979212856669463074516638557722256072912786875/1276771221206477679956535173852484780373245549840364056070824675875994249858579146656059723776*t^29 - 29351705821549109945130204832188445620551177113720889836275291919487656822974525638057637712540236785163949600043021118193125/5107084884825910719826140695409939121492982199361456224283298703503976999434316586624238895104*t^27 + 452119767326125705215553912363776054402515741773757581795471423254466867005331716671499050427906840929897106069517195250784375/10214169769651821439652281390819878242985964398722912448566597407007953998868633173248477790208*t^25 - 1401152474169140899386189791174521635804663977436966389092206922824075783953116461127333688449273035037197720584700648138328125/5107084884825910719826140695409939121492982199361456224283298703503976999434316586624238895104*t^23 + 27684275245083867525152899473931061589996571329917085988949202208337612114017526527813168726053692562358036812341463671018953125/20428339539303642879304562781639756485971928797445824897133194814015907997737266346496955580416*t^21 - 430659646488430189711865624051208912312658952708388453302982847923401240983636462900423442312850835991624236367252446226160328125/81713358157214571517218251126559025943887715189783299588532779256063631990949065385987822321664*t^19 + 2597587219698270978352310555292548320324132965764685092579536249681553965794764649569804318126344523810624873329283683687185984375/163426716314429143034436502253118051887775430379566599177065558512127263981898130771975644643328*t^17 - 372439730070463585201319634708330925381469398561449651948176750353534456013839654259531612445176239500390314624193921869358515625/10214169769651821439652281390819878242985964398722912448566597407007953998868633173248477790208*t^15 + 20282628310618264616260192516998968006283198590280859540938420932034999832354366282421162762872700516658636388860755387947344609375/326853432628858286068873004506236103775550860759133198354131117024254527963796261543951289286656*t^13 - 99031694638442722576733108535488769125703640039515760609322609337074044874343407437706952754854627166842850596400590795598934015625/1307413730515433144275492018024944415102203443036532793416524468097018111855185046175805157146624*t^11 + 165411921160853798955631429309157981130339679849914337920417516469335835787531409780824743540613107172873002252329133018919389171875/2614827461030866288550984036049888830204406886073065586833048936194036223710370092351610314293248*t^9 - 44081810028241430662247898056650018118001283719502462773499927508144741133364420757358918986710835174798256497109503739707046703125/1307413730515433144275492018024944415102203443036532793416524468097018111855185046175805157146624*t^7 + 53715951728280908639906399173428096683880089826235484661751897627190437405315563344903103650338456678878038272959463275378783515625/5229654922061732577101968072099777660408813772146131173666097872388072447420740184703220628586496*t^5 - 30705653516209711921362997898995933601514035403032128828846563247689347693802819923755101415679317940194753343983125275883297890625/20918619688246930308407872288399110641635255088584524694664391489552289789682960738812882514345984*t^3 + 2611712053686638207598833125877332311503732718409969748444503409908438723489136389598145915786783089688252659346461790427988671875/41837239376493860616815744576798221283270510177169049389328782979104579579365921477625765028691968*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: 0
  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:   59 out of 61
Indefinite weights: 0 out of 61
Negative weights:   2 out of 61
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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