Starting with polynomial:
P : t
Extension levels are: 1 8 14 26
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Trying to find an order 8 Kronrod extension for:
P1 : t
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : t^9 - 36*t^7 + 378*t^5 - 1260*t^3 + 945*t
Solvable: 1
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Trying to find an order 26 Kronrod extension for:
P3 : t^23 - 3309583/18099*t^21 + 82235713/6033*t^19 - 1089441955/2011*t^17 + 76126932098/6033*t^15 - 358985675230/2011*t^13 + 3094433932590/2011*t^11 - 15882937980910/2011*t^9 + 46161180640575/2011*t^7 - 70208873169435/2011*t^5 + 50216778386775/2011*t^3 - 12961617443775/2011*t
Solvable: 1
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Ending with final polynomial:
P : t^49 - 20994346343936950498403800707026058824760494859858929445816829640473165770414656736973722326951579745280661181037/26847492324347190683258104751645364380113611833876334765419722350483053209001375079790079692342365588929292102*t^47 + 1143744195076654214236760103265847502862219312278473104459821071242581853039967553106305680901001812191169905348429233/4107666325625120174538490027001740750157382610583079219109217519623907140977210387207882192928381935106181691606*t^45 - 82113846553166609412748497710403269367792526017400271721118129192776140401418167982351071824693049853939148519687981755/1369222108541706724846163342333913583385794203527693073036405839874635713659070129069294064309460645035393897202*t^43 + 35962224124982232356820421877076221502571942856999355928466570560061025864896871299947198134441256825541652478360114139021/4107666325625120174538490027001740750157382610583079219109217519623907140977210387207882192928381935106181691606*t^41 - 11337975033432968540114258024301464596206041329053985340177678027022272752971255626641093018537974372580035436526352480814531/12322998976875360523615470081005222250472147831749237657327652558871721422931631161623646578785145805318545074818*t^39 + 296435981083164356445708278227573574031032307327279546035946438703652003475341703088415244799550407378623002263335753788492989/4107666325625120174538490027001740750157382610583079219109217519623907140977210387207882192928381935106181691606*t^37 - 5919322575283403966107212474192726688747886947329883411509170126316375234996858203448390287652783545671700011636430570872706111/1369222108541706724846163342333913583385794203527693073036405839874635713659070129069294064309460645035393897202*t^35 + 824671142364804732598950646306120857270160786728859611354282631577448061078058194711786768386473550609942041117205795233928394535/4107666325625120174538490027001740750157382610583079219109217519623907140977210387207882192928381935106181691606*t^33 - 4994827992012840526803887097043961922506022656350249844866186654191719881384747425303408765145170302661677093350315583602652141375/684611054270853362423081671166956791692897101763846536518202919937317856829535064534647032154730322517696948601*t^31 + 47597132478042263984967309152762330603466478553737523490598308355477380256667320158842038797565219861112045196871910999128930224865/228203684756951120807693890388985597230965700587948845506067639979105952276511688178215677384910107505898982867*t^29 - 3217411420615447543809440231647493970980685197566784460084475598206476776224100936710738474379451699233984575251204295465629276415715/684611054270853362423081671166956791692897101763846536518202919937317856829535064534647032154730322517696948601*t^27 + 2114066654187450609791323855241157728710091928507330429117110526085094910332663705538455659359978803148939656106786620493587507564765/25355964972994568978632654487665066358996188954216538389563071108789550252945743130912853042767789722877664763*t^25 - 29416036275805506407892898257229914783003941200104355217998430553853388756537854798759870974179417576463648658064123554726760464450125/25355964972994568978632654487665066358996188954216538389563071108789550252945743130912853042767789722877664763*t^23 + 318850757983765116497309075631008207686466428147908841610249739714412332342631767990210282770048588110884923120105289389963826548873625/25355964972994568978632654487665066358996188954216538389563071108789550252945743130912853042767789722877664763*t^21 - 2665467255432820263873594786503331672003234676437351683111491457526838762985789059666800220418798244337782669857483833363416068381105625/25355964972994568978632654487665066358996188954216538389563071108789550252945743130912853042767789722877664763*t^19 + 996990166672900769064838606971027297829851998282827571550014841910233087687684658131783925470936691253068968520658748305497366357788750/1491527351352621704625450263980298021117422879659796375856651241693502956055631948877226649574575866051627339*t^17 - 9467186302601486795926326189148784613386567781173741233608786625706146152423498584751800737223724466832950155722687838937841945820170625/2983054702705243409250900527960596042234845759319592751713302483387005912111263897754453299149151732103254678*t^15 + 32742809911466960393632018258254467244403135803077010097500349930394096699241971232210467935599207032396734837288493503028733585793828125/2983054702705243409250900527960596042234845759319592751713302483387005912111263897754453299149151732103254678*t^13 - 79779796483547503935763109170043481546749990924885439814441715387405927352293864870681625042366184114855537395102320154534375252003268125/2983054702705243409250900527960596042234845759319592751713302483387005912111263897754453299149151732103254678*t^11 + 130734733531873512122844046379557769357154540501967210516601076351710357886824124153044123531705985234257369786830959512387992480201445625/2983054702705243409250900527960596042234845759319592751713302483387005912111263897754453299149151732103254678*t^9 - 134719215476321992952514769168067402388773071924540825301576284455540702294133764869296528325820365745016839768716081357992715882509513125/2983054702705243409250900527960596042234845759319592751713302483387005912111263897754453299149151732103254678*t^7 + 78674745079800699706859298489814672507510339102104231501021947234636566742817779373846973739139495639187669511233562443941971792509460625/2983054702705243409250900527960596042234845759319592751713302483387005912111263897754453299149151732103254678*t^5 - 21553872588401710738228946401522692571865352665061919994616822027148734401698840062096271251004928953316099559373326267790535504914340625/2983054702705243409250900527960596042234845759319592751713302483387005912111263897754453299149151732103254678*t^3 + 1685186845127382673824269330494937470004866243534082482931040765862865430004991700089068725149736818561694734479541907437747976425034375/2983054702705243409250900527960596042234845759319592751713302483387005912111263897754453299149151732103254678*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:   47 out of 49
Indefinite weights: 0 out of 49
Negative weights:   2 out of 49
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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