Starting with polynomial:
P : t^5 - 10*t^3 + 15*t
Extension levels are: 5 14 34
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Trying to find an order 14 Kronrod extension for:
P1 : t^5 - 10*t^3 + 15*t
Solvable: 1
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Trying to find an order 34 Kronrod extension for:
P2 : t^19 - 10067/33*t^17 + 4654486/165*t^15 - 13098722/11*t^13 + 26061308*t^11 - 305527040*t^9 + 1871898210*t^7 - 5508762714*t^5 + 6473363715*t^3 - 1927283085*t
Solvable: 1
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Ending with final polynomial:
P : t^53 - 418313987895796250264732305810739641229306913167703306430698070705020000777059650337582482009037701865687390802718891/365647758348046586595500362053237969559139497873017676422564541071752736738173161518266278197126512852408009787982*t^51 + 16462827807300024611693792015458431408196782819802555465548554989184822593357585388047232296287467361923027342877637513949/27423581876103493994662527153992847716935462340476325731692340580381455255362987113869970864784488463930600734098650*t^49 - 23710489848670123246244362811111077002587731742727486155419535769349673532697287270803940475807278854495788487699119647754247/123406118442465722975981372192967814726209580532143465792615532611716548649133442012414868891530198087687703303443925*t^47 + 54273887334014933163555752018813161981736077900906860808992473875832794843796756881526158763105992998400220411653169317035984853/1290154874625778012930714345653754426683100160108772596922798750031582099513667802857064538411452070916735079990550125*t^45 - 6337324987196839790549676660688430191049955204757099148246041376403938157939667642853526901805168010909079040241543818629576417928/946113574725570542815857186812753246234273450746433237743385750023160206310023055428513994835064852005605725326403425*t^43 + 25128289810794307376935429662546928856562270786960177357316736302975561765534252860474189530680779679315188643302724126790171709215176/31221747965943827912923287164820857125731023874632296845531729750764286808230760829140961829557140116184988935771313025*t^41 - 93336941376442000523112262838937597054902382383410385210592399869353138004978664663323931759466100129235184818887679756201971517158161/1248869918637753116516931486592834285029240954985291873821269190030571472329230433165638473182285604647399557430852521*t^39 + 3780429536935091471912084794679350662460681590702911031411675119279586733580363480135712689857274621134089399886544695281698073430361396/693816621465418398064961936996019047238467197214051041011816216683650817960683573980910262879047558137444198572695845*t^37 - 19675612583885186083146855202824090171091647337670888378128343488486281947418485898516603375736732432898573800221087929188251444272017010797/62443495931887655825846574329641714251462047749264593691063459501528573616461521658281923659114280232369977871542626050*t^35 + 1501065663988698894945515035526991613253772712131281254939770275011319649024028970165661388262454584910409935217283710902255988448727586133/103212389970062241034457147652300354134648012808701807753823900002526567961093424228565163072916165673338806399244010*t^33 - 101684363950728325139513121651230784204358988596737557177128569378769876730268106199691111228356293162253131924316406348842656960682688257222/189222714945114108563171437362550649246854690149286647548677150004632041262004611085702798967012970401121145065280685*t^31 + 601730183386478933035629519183261152951300531199524809439654084403969328081261112652223192780449659507264431082195666825050529052527588726594/37844542989022821712634287472510129849370938029857329509735430000926408252400922217140559793402594080224229013056137*t^29 - 14225346010251876965559858740649907233101297000491252616002929161428677630483452910616554677627444754804899444975819145177908601376909713917348/37844542989022821712634287472510129849370938029857329509735430000926408252400922217140559793402594080224229013056137*t^27 + 29717682302381490560743630364619496663146065275506930044067811115314968611736297301449882002093588257236575257955934222450578818000210360805844/4204949221002535745848254163612236649930104225539703278859492222325156472488991357460062199266954897802692112561793*t^25 - 19183232425702920412769802520718448978208371912172246223196396308909389932887797960228454694514990086240061205601351278645305249938973745830350/182823879174023293297750181026618984779569748936508838211282270535876368369086580759133139098563256426204004893991*t^23 + 20245279301030738131040344357715279603947975249740307275145339994889106990640528318965903289141957984874080192025417994395480201495617879226525/16620352652183935754340925547874453161779068085137167110116570048716033488098780069012103554414841493291273172181*t^21 - 3990700336751610178349853028161271515584063384962194934400052274915505837893705066779359633459358062918955239717274094346609972030875138749395025/365647758348046586595500362053237969559139497873017676422564541071752736738173161518266278197126512852408009787982*t^19 + 27135560299877185261490284835057347844610551043411824292449073654870838868656336850490179640345778403073825981635738038691349092062199720944271925/365647758348046586595500362053237969559139497873017676422564541071752736738173161518266278197126512852408009787982*t^17 - 68506612845678183544803107619820902745731888836270474373747324414924817225584755890940899333019988767707143286465920010328647769368226650610258865/182823879174023293297750181026618984779569748936508838211282270535876368369086580759133139098563256426204004893991*t^15 + 249676922209743617518631686833453433035074261154824953873003060030490099093112806822655335027954728651072866623311211147729787249383297616516681075/182823879174023293297750181026618984779569748936508838211282270535876368369086580759133139098563256426204004893991*t^13 - 57505511035068646366861992977632215176011798374521515540472931115934514329476426692148292911652071864043840225590259902079817176385051024392619300/16620352652183935754340925547874453161779068085137167110116570048716033488098780069012103554414841493291273172181*t^11 + 96195595793638055662088044207360958881829203396126558218658143487636891915698131594811228722679118464562188381033704780749953137515449816359260500/16620352652183935754340925547874453161779068085137167110116570048716033488098780069012103554414841493291273172181*t^9 - 98724767160899566735103082734342816657805176155820245672356273754525872350836173889783921616874767688785562093876933531237230665303793540356319625/16620352652183935754340925547874453161779068085137167110116570048716033488098780069012103554414841493291273172181*t^7 + 55623616037735957027352135700475755519563293971078623688630482045993697015772636420165581622219605435024247028913985729566308338824944094098261450/16620352652183935754340925547874453161779068085137167110116570048716033488098780069012103554414841493291273172181*t^5 - 28599230390192992312300186415823301038870396008838771089465037831926841345196879265270546102731887793373731462880112003127270458629143582999630875/33240705304367871508681851095748906323558136170274334220233140097432066976197560138024207108829682986582546344362*t^3 + 2261401261503784852686748288065936459450081809965977621022129425940392794138749914464118549708448634974341368003205127494969342536214366421290375/33240705304367871508681851095748906323558136170274334220233140097432066976197560138024207108829682986582546344362*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:   51 out of 53
Indefinite weights: 0 out of 53
Negative weights:   2 out of 53
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
