Starting with polynomial:
P : 2*t
Extension levels are: 1 4 14 32
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Trying to find an order 4 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : 2*t^5 - 10*t^3 + 15/2*t
Solvable: 1
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Trying to find an order 32 Kronrod extension for:
P3 : 2*t^19 - 10067/33*t^17 + 2327243/165*t^15 - 6549361/22*t^13 + 6515327/2*t^11 - 19095440*t^9 + 935949105/16*t^7 - 2754381357/32*t^5 + 6473363715/128*t^3 - 1927283085/256*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^51 - 91214001897741174196706706436901730314473441311201869922067362781851886351747401051114582450993520784466907/87745432851566710976812014670979861123532323561578632873722248162267583652943548832103083537299186737097*t^49 + 52122434705295282964311886068524495382346586278664488998112281942068952792761908734116878465332222640974466498541/211905220336533607009001015430416364613330561401212398390039229311876214521858670429528946742577535970089255*t^47 - 14932866596620862226387080954092682165662263818207611917812199400875242026010764231922580152656964496491451787929377/423810440673067214018002030860832729226661122802424796780078458623752429043717340859057893485155071940178510*t^45 + 532553908784051952854462447711762666012429363551537668492936020255941894509595012641944094642204054169028277781908329/155397161580124645139934077982305334049775745027555758819362101495375890649363024981654560944556859711398787*t^43 - 64084073540768384269293468491681271915966120394902571462963871630507169364047704459004047208391211195118354470713971251/266395134137356534525601276541094858371044134332952729404620745420644383970336614254264961619240330933826492*t^41 + 19690671703039150766524543997149857367339812720796388445799900407694829249447652656443232271272893740428194017024608189785/1557386938033776663380438232086400710476873400715723648827013588612997937057352514101856698697097319305447184*t^39 - 528935386513286922257188486160114971949941912361000985656312372149045121947154268384036156328446298808343819852680136452111/1038257958689184442253625488057600473651248933810482432551342392408665291371568342734571132464731546203631456*t^37 + 199124845866541242925118575943555937344495760290113276778839932383968942131331371385061965978746259042105424864376260954280217/12459095504270213307043505856691205683814987205725789190616108708903983496458820112814853589576778554443577472*t^35 - 3530125776103452256869600338891658870547845088648255544017543166182018409755303697972009194368607859312351232466751352718865/8953715777413017108906579846705861073528557100773114761491993322963696368277987864042295069764124006067968*t^33 + 2904120330630376794667065641012277055484230842444005443177980704031158638069914680287652904925377140092332304776099287109855455/377548348614248888092227450202763808600454157749266339109579051784969196862388488267116775441720562255865984*t^31 - 89837958676404227821608900280663591393208969594182980613896322634714739708559475247551636748238580900647417649405378296522848475/755096697228497776184454900405527617200908315498532678219158103569938393724776976534233550883441124511731968*t^29 + 1101103308114756643438618116268394826649786472032626874457934170517180878043254396695956252675319006421259508333792200691985936975/755096697228497776184454900405527617200908315498532678219158103569938393724776976534233550883441124511731968*t^27 - 592227917909994481778211978175419151135773235238231094838375540583748318495941825187182719863183643678912227631010146212404921475/41949816512694320899136383355862645400050461972140704345508783531663244095820943140790752826857840250651776*t^25 + 3131888418688050783047008737378545849804490995740278979842194315104878274867729651297140166411830099411393905731621061496762369375/29182481052309092799399223204078362017426408328445707370788718978548343718831960445767480227379367130888192*t^23 - 37060554915740467582237943076054797143642708082372348089935300520053192509962568415041313044651016278690333788642372264848680896875/58364962104618185598798446408156724034852816656891414741577437957096687437663920891534960454758734261776384*t^21 + 70989539468764148941305034038429465822977650016253173774664313699953004517516543743214350635505001985167949227962500662933883939375/24574720886155025515283556382381778540990659645006911470137868613514394710595335112225246507266835478642688*t^19 - 488697517246311774721733036523319972126698854315125143720403800550834581700766303942402006366459125198945303393596079145670993067125/49149441772310051030567112764763557081981319290013822940275737227028789421190670224450493014533670957285376*t^17 + 1246124427031784230670181016379605504398440293203860107247454996930500537308360527904426684116801111479656862620780649365783248955875/49149441772310051030567112764763557081981319290013822940275737227028789421190670224450493014533670957285376*t^15 - 4579348313680312682991676432981670140000983621858811764837965606404898450768081262740742826140465392517815483383026857538455972619375/98298883544620102061134225529527114163962638580027645880551474454057578842381340448900986029067341914570752*t^13 + 132839642686791049206503745922727216278452675269323175751545829048383776981508386430875592139954783635825922123574131315959315713125/2234065535105002319571232398398343503726423604091537406376169873955854064599575919293204227933348679876608*t^11 - 896883568509277348118135079023938025677269147355474458335079351809721127523760764030658183166122805107869502170396068236662552953125/17872524280840018556569859187186748029811388832732299251009358991646832516796607354345633823466789439012864*t^9 + 1873003737365984016707975628716387580837481524821005304029515190298488311860535144603136547179752742191332645993386072893248093356875/71490097123360074226279436748746992119245555330929197004037435966587330067186429417382535293867157756051456*t^7 - 1109655324453458106876179965530920983369281226136484414329977169804499417441653956790384405775816374512977916663752474069528612354375/142980194246720148452558873497493984238491110661858394008074871933174660134372858834765070587734315512102912*t^5 + 670507374594183255728158314758949414630309045933833808293058810642897214501074999360767931853605591411520612283255919151341897028125/571920776986880593810235493989975936953964442647433576032299487732698640537491435339060282350937262048411648*t^3 - 79678458941391570434768471026367654053172733616464304519083624029612598960238255597343453992703801589737820348969847674287371771875/1143841553973761187620470987979951873907928885294867152064598975465397281074982870678120564701874524096823296*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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