Starting with polynomial:
P : 2*t
Extension levels are: 1 2 6 10 22
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Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 6 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P3 : 2*t^9 - 117/4*t^7 + 945/8*t^5 - 2205/16*t^3 + 945/32*t
Solvable: 1
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Trying to find an order 22 Kronrod extension for:
P4 : 2*t^19 - 23713751/205892*t^17 + 2134183615/823568*t^15 - 48885080515/1647136*t^13 + 623352876985/3294272*t^11 - 4536269518165/6588544*t^9 + 18427952550645/13177088*t^7 - 38805894891225/26354176*t^5 + 36681698574675/52708352*t^3 - 11110847880825/105416704*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^41 - 20186539540935324640978282625139084335195484869011510131338502173541414255442317992772533506348506636102216085049401123/35568538848339947881892718663924101777326132051654956865080221854355911613679822055724775480400251645497948138311656*t^39 + 61457071084921257944284584872696717826580934225725094864849136586358864585974318600885044373988102516723884506285205669445/853644932360158749165425247934178442655827169239718964761925324504541878728315729337394611529606039491950755319479744*t^37 - 18487552757429280625816423834062605802076016180584700259163439391457622438551328341373269747102369196181135660146048657766745/3414579729440634996661700991736713770623308676958875859047701298018167514913262917349578446118424157967803021277918976*t^35 + 167798323492690130816951591743965070837969602064556627223831116317059006336700007047476504027751426916621111802267674577979359115/621453510758195569392429580496081906253442179206515406346681636239306487714213850957623277193553196750140149872581253632*t^33 - 11763693076467864608998679296514406421219184392774871603681437457182530766148281397003884748285240400542198967384343505186654694265/1242907021516391138784859160992163812506884358413030812693363272478612975428427701915246554387106393500280299745162507264*t^31 + 599701890586492249692535509787331610459558790209026555904578641996068174967574154262346903234608306991742752799447699908137881321145/2485814043032782277569718321984327625013768716826061625386726544957225950856855403830493108774212787000560599490325014528*t^29 - 22693876053375036804967850909729346781486029321940125904089475051166266613832166924107905525598829181482011273835513145557222240823575/4971628086065564555139436643968655250027537433652123250773453089914451901713710807660986217548425574001121198980650029056*t^27 + 71697600618933697626660896379140027088453895188450537791352932285374362319256872595850889809119705296796363656570290476779500411136275/1104806241347903234475430365326367833339452763033805166838545131092100422603046846146885826121872349778026933106811117568*t^25 - 220182475063239394219325463029839739000555898122769857666425036426845996407436225769577416026080386513228060195675064475921741176878875/315658926099400924135837247236105095239843646581087190525298608883457263600870527470538807463392099936579123744803176448*t^23 + 25081710485328395120529642174508576691168490077431470094384903180604316943219219874128944521896378882037913223536069960014381101682510625/4419224965391612937901721461305471333357811052135220667354180524368401690412187384587543304487489399112107732427244470272*t^21 - 43999159754913915487886307126286776516169800342106311230379180921411236896397177506418365381392996747625368944389049960715146260812744375/1262635704397603696543348988944420380959374586324348762101194435533829054403482109882155229853568399746316494979212705792*t^19 + 404452642781559611691738853356016815346504172698534865671314545641260047270282385140080571977012353045014757997583902956220673037187336875/2525271408795207393086697977888840761918749172648697524202388871067658108806964219764310459707136799492632989958425411584*t^17 - 2745029705461398886433219965935493642500582284294554267410933754783005276631343977351373625092613446393150718221561660531585687853099253125/5050542817590414786173395955777681523837498345297395048404777742135316217613928439528620919414273598985265979916850823168*t^15 + 1035614304144575148167224169247816186386991481060479229770600294330102073514309589231229270386734900196990555623277694754430543522516965625/777006587321602274795907070119643311359615130045753084369965806482356341171373606081326295294503630613117843064130895872*t^13 - 3552099288309566580729636197736803072171467482349013342317115338309517957646787788334861695321460530673408206262965457164036923371122189375/1554013174643204549591814140239286622719230260091506168739931612964712682342747212162652590589007261226235686128261791744*t^11 + 8101876581853806660258038286023112882171865959664665798986874285638751269443555905420313498663487350108451519638495105479127531249472911875/3108026349286409099183628280478573245438460520183012337479863225929425364685494424325305181178014522452471372256523583488*t^9 - 11337722413269233446562257779943935413427430703928736165666265206813755759397534595182427126925938458959168443262465113893739518655116603125/6216052698572818198367256560957146490876921040366024674959726451858850729370988848650610362356029044904942744513047166976*t^7 + 8476031761029077938691521051001017422352381274279059999395025259644244667897860109167065937479156241944124335162150643909265223463120784375/12432105397145636396734513121914292981753842080732049349919452903717701458741977697301220724712058089809885489026094333952*t^5 - 161102343691748229530571037999598820120692789976317882154864645712345227371100242822308239052147072512398159160975502793653234930557103125/1554013174643204549591814140239286622719230260091506168739931612964712682342747212162652590589007261226235686128261791744*t^3 + 38026167010563526543677975214044988387315392887450023149815680688205957366806520148838216411108332424150121600144024875656568536155328125/12432105397145636396734513121914292981753842080732049349919452903717701458741977697301220724712058089809885489026094333952*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:   39 out of 41
Indefinite weights: 0 out of 41
Negative weights:   2 out of 41
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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