Starting with polynomial:
P : 8*t^3 - 12*t
Extension levels are: 3 6 10 22
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Trying to find an order 6 Kronrod extension for:
P1 : 8*t^3 - 12*t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : 8*t^9 - 117*t^7 + 945/2*t^5 - 2205/4*t^3 + 945/8*t
Solvable: 1
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Trying to find an order 22 Kronrod extension for:
P3 : 8*t^19 - 23713751/51473*t^17 + 2134183615/205892*t^15 - 48885080515/411784*t^13 + 623352876985/823568*t^11 - 4536269518165/1647136*t^9 + 18427952550645/3294272*t^7 - 38805894891225/6588544*t^5 + 36681698574675/13177088*t^3 - 11110847880825/26354176*t
Solvable: 1
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Ending with final polynomial:
P : 8*t^41 - 20186539540935324640978282625139084335195484869011510131338502173541414255442317992772533506348506636102216085049401123/8892134712084986970473179665981025444331533012913739216270055463588977903419955513931193870100062911374487034577914*t^39 + 61457071084921257944284584872696717826580934225725094864849136586358864585974318600885044373988102516723884506285205669445/213411233090039687291356311983544610663956792309929741190481331126135469682078932334348652882401509872987688829869936*t^37 - 18487552757429280625816423834062605802076016180584700259163439391457622438551328341373269747102369196181135660146048657766745/853644932360158749165425247934178442655827169239718964761925324504541878728315729337394611529606039491950755319479744*t^35 + 167798323492690130816951591743965070837969602064556627223831116317059006336700007047476504027751426916621111802267674577979359115/155363377689548892348107395124020476563360544801628851586670409059826621928553462739405819298388299187535037468145313408*t^33 - 11763693076467864608998679296514406421219184392774871603681437457182530766148281397003884748285240400542198967384343505186654694265/310726755379097784696214790248040953126721089603257703173340818119653243857106925478811638596776598375070074936290626816*t^31 + 599701890586492249692535509787331610459558790209026555904578641996068174967574154262346903234608306991742752799447699908137881321145/621453510758195569392429580496081906253442179206515406346681636239306487714213850957623277193553196750140149872581253632*t^29 - 22693876053375036804967850909729346781486029321940125904089475051166266613832166924107905525598829181482011273835513145557222240823575/1242907021516391138784859160992163812506884358413030812693363272478612975428427701915246554387106393500280299745162507264*t^27 + 71697600618933697626660896379140027088453895188450537791352932285374362319256872595850889809119705296796363656570290476779500411136275/276201560336975808618857591331591958334863190758451291709636282773025105650761711536721456530468087444506733276702779392*t^25 - 220182475063239394219325463029839739000555898122769857666425036426845996407436225769577416026080386513228060195675064475921741176878875/78914731524850231033959311809026273809960911645271797631324652220864315900217631867634701865848024984144780936200794112*t^23 + 25081710485328395120529642174508576691168490077431470094384903180604316943219219874128944521896378882037913223536069960014381101682510625/1104806241347903234475430365326367833339452763033805166838545131092100422603046846146885826121872349778026933106811117568*t^21 - 43999159754913915487886307126286776516169800342106311230379180921411236896397177506418365381392996747625368944389049960715146260812744375/315658926099400924135837247236105095239843646581087190525298608883457263600870527470538807463392099936579123744803176448*t^19 + 404452642781559611691738853356016815346504172698534865671314545641260047270282385140080571977012353045014757997583902956220673037187336875/631317852198801848271674494472210190479687293162174381050597217766914527201741054941077614926784199873158247489606352896*t^17 - 2745029705461398886433219965935493642500582284294554267410933754783005276631343977351373625092613446393150718221561660531585687853099253125/1262635704397603696543348988944420380959374586324348762101194435533829054403482109882155229853568399746316494979212705792*t^15 + 1035614304144575148167224169247816186386991481060479229770600294330102073514309589231229270386734900196990555623277694754430543522516965625/194251646830400568698976767529910827839903782511438271092491451620589085292843401520331573823625907653279460766032723968*t^13 - 3552099288309566580729636197736803072171467482349013342317115338309517957646787788334861695321460530673408206262965457164036923371122189375/388503293660801137397953535059821655679807565022876542184982903241178170585686803040663147647251815306558921532065447936*t^11 + 8101876581853806660258038286023112882171865959664665798986874285638751269443555905420313498663487350108451519638495105479127531249472911875/777006587321602274795907070119643311359615130045753084369965806482356341171373606081326295294503630613117843064130895872*t^9 - 11337722413269233446562257779943935413427430703928736165666265206813755759397534595182427126925938458959168443262465113893739518655116603125/1554013174643204549591814140239286622719230260091506168739931612964712682342747212162652590589007261226235686128261791744*t^7 + 8476031761029077938691521051001017422352381274279059999395025259644244667897860109167065937479156241944124335162150643909265223463120784375/3108026349286409099183628280478573245438460520183012337479863225929425364685494424325305181178014522452471372256523583488*t^5 - 161102343691748229530571037999598820120692789976317882154864645712345227371100242822308239052147072512398159160975502793653234930557103125/388503293660801137397953535059821655679807565022876542184982903241178170585686803040663147647251815306558921532065447936*t^3 + 38026167010563526543677975214044988387315392887450023149815680688205957366806520148838216411108332424150121600144024875656568536155328125/3108026349286409099183628280478573245438460520183012337479863225929425364685494424325305181178014522452471372256523583488*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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