Starting with polynomial:
P : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Extension levels are: 8 50
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Trying to find an order 50 Kronrod extension for:
P1 : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Solvable: 1
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Ending with final polynomial:
P : 256*t^58 - 2226177299100671417968274674909530562368058572971486391253888/11998724209199654391509790114482532688358698626274742307*t^56 + 8233972862800846933664161697010241380223050356291394294371198080/131985966301196198306607691259307859571945684889022165377*t^54 - 8159832327165502092356267212129736757800443582668650806257650944960/630599616772381836353792302683359773510407161136439234579*t^52 + 3512984755660176736263411418624664963335702082758028062708262378395760/1891798850317145509061376908050079320531221483409317703737*t^50 - 370844479393649106991570295030695209085923165141256376261920248542320600/1891798850317145509061376908050079320531221483409317703737*t^48 + 9963887746025659834013994174623872448642839542488623991079966418612538800/630599616772381836353792302683359773510407161136439234579*t^46 - 628362309932722822363508780993077289371747453478833125927877668340296507000/630599616772381836353792302683359773510407161136439234579*t^44 + 66636522948988214590611002978426139819228939897579989538855223480685620875/1333191578799961599056643346053614743150966514030526923*t^42 - 5377390885873434245767995059054142182597521202866440505208295005055634545375/2666383157599923198113286692107229486301933028061053846*t^40 + 175843200348641874910293540618877703687295822880290977579736544118696940607125/2666383157599923198113286692107229486301933028061053846*t^38 - 9363905480005422122038349300366656263946144204270304418990163767221197164632625/5332766315199846396226573384214458972603866056122107692*t^36 + 813939975701605990445592001924320648114817392855071683149695266666669265228038125/21331065260799385584906293536857835890415464224488430768*t^34 - 28883406325853818945081525578502062224197983488492915396048542728371261264711735625/42662130521598771169812587073715671780830928448976861536*t^32 + 104466200347068532404409988927574175145244182371582570084895253211399897386462988125/10665532630399692792453146768428917945207732112244215384*t^30 - 2457170196202565466638129332904721343817238794453564948656884980180850508632576155625/21331065260799385584906293536857835890415464224488430768*t^28 + 374086928643544282641895543344996431144184946216076574138335687366870284114445550725625/341297044172790169358500696589725374246647427591814892288*t^26 - 5722317121751329112713433691832682566977476670677909304354242336946411964747346024203125/682594088345580338717001393179450748493294855183629784576*t^24 + 34880270354099632727165410017548922494281966351061338985126541090726856214853909184828125/682594088345580338717001393179450748493294855183629784576*t^22 - 335198793512056905655920858124998448145441167711795594832697451731613448321630208008765625/1365188176691160677434002786358901496986589710367259569152*t^20 + 5008260872676358522594146072793203305685298871235664655208135424330093515730241728502484375/5460752706764642709736011145435605987946358841469038276608*t^18 - 28570441701518965220123992454394398768480593178541301439016301573606454134906394077749796875/10921505413529285419472022290871211975892717682938076553216*t^16 + 30399701915360120061605828845481625220701953475796200681420860087003362143092093475908671875/5460752706764642709736011145435605987946358841469038276608*t^14 - 93590328818478788341949941421564042866199461135208874957164025536117732150635652626436484375/10921505413529285419472022290871211975892717682938076553216*t^12 + 799086745330153294035019062385132015234617843617258012336957057788978005113125654103971640625/87372043308234283355776178326969695807141741463504612425728*t^10 - 1113366501459433878685099928897545333556077967023342638749207092071416909409460631496502078125/174744086616468566711552356653939391614283482927009224851456*t^8 + 462427333510355425981821385777764230693635801848701204689908470846681593950432702538149796875/174744086616468566711552356653939391614283482927009224851456*t^6 - 197408423550751962430261779232691165042539492816375464789934292208145838427136919620865859375/349488173232937133423104713307878783228566965854018449702912*t^4 + 64945822705011873162067838694306759161249913484825142399511844723149137271651972818880234375/1397952692931748533692418853231515132914267863416073798811648*t^2 - 1738573502600879937515969716334431816807563020346735078396880856652599805394380357183046875/2795905385863497067384837706463030265828535726832147597623296
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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:   56 out of 58
Indefinite weights: 0 out of 58
Negative weights:   2 out of 58
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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