Starting with polynomial:
P : t^10 - 45*t^8 + 630*t^6 - 3150*t^4 + 4725*t^2 - 945
Extension levels are: 10 48
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Trying to find an order 48 Kronrod extension for:
P1 : t^10 - 45*t^8 + 630*t^6 - 3150*t^4 + 4725*t^2 - 945
Solvable: 1
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Ending with final polynomial:
P : t^58 - 291984910670324380348749101894866196812571623430443824229973/209168570909958037457951997454585046444810463382949369601*t^56 + 2580932383870347491015472560816983886576068002258166895248682110/2858637135769426511925343965212662301412409666233641384547*t^54 - 1028241751556882734163454032982959958490924472556431538196642672390/2858637135769426511925343965212662301412409666233641384547*t^52 + 525554065689419556865004228112217932665961326723174550710788642648535/5308897537857506379289924506823515702623046523005333999873*t^50 - 672740520371943471759231870107526900022364630184458927063588262417819635/33623017739764207068836188543215599449945961312367115332529*t^48 + 103635850754728833768510420428602332947743503060595698380388154567040257780/33623017739764207068836188543215599449945961312367115332529*t^46 - 12466735059145495552523381075886854827279719542843137013265191031849723876900/33623017739764207068836188543215599449945961312367115332529*t^44 + 1190313727168804282359772933083083791742563485544502297513904166474741921447425/33623017739764207068836188543215599449945961312367115332529*t^42 - 2224603510254315202804707399041781004345261841954521131718181644258114600925325/820073603408883099239907037639404864632828324691880861769*t^40 + 10600185674983460116285627504880828491790939726457330375846738212058679097019150/63082584877606392249223618279954220356371409591683143213*t^38 - 28061144753811318494551086455934003128480416871257317096672467359376026785052050/3320136046189810118380190435787064229282705767983323327*t^36 + 1148392446815774907364759144569882676024385843975782599657599480458373120296892625/3320136046189810118380190435787064229282705767983323327*t^34 - 38242134340024217119481529637729237812025993200008944179500844494720798181062377125/3320136046189810118380190435787064229282705767983323327*t^32 + 1034421531538157488074316164518121289118037190596321094552538851703548680785084241000/3320136046189810118380190435787064229282705767983323327*t^30 - 22648301662764131721646084273529006003578620118539603863484001092731178985015371021000/3320136046189810118380190435787064229282705767983323327*t^28 + 399273994295749409461679502958477748788083359705870532659066478687621043394803117711125/3320136046189810118380190435787064229282705767983323327*t^26 - 5627423754687622656353684422171660880561472208743994499204342129554927123916726452565625/3320136046189810118380190435787064229282705767983323327*t^24 + 62829477375193616468114862246058523313268491305616622148013432669043174551669505091006250/3320136046189810118380190435787064229282705767983323327*t^22 - 549307917896142265811494689125525594426074362038119650735565008970656272003323101940181250/3320136046189810118380190435787064229282705767983323327*t^20 + 3706980548267876526796613986948310499918370722644868951700577154011903757272290565525821875/3320136046189810118380190435787064229282705767983323327*t^18 - 18967091265305331656793662829732165888005128285690400765600505846781147645312164219358059375/3320136046189810118380190435787064229282705767983323327*t^16 + 71942921170413250778382062320007123203834894828604786305631322160269972041045970709786687500/3320136046189810118380190435787064229282705767983323327*t^14 - 196536735659787602384613069818963708059577156732063336850393330583264989523886972624139937500/3320136046189810118380190435787064229282705767983323327*t^12 + 372053472143465403407176870895889427230018175457080938972900237959632238673560172498222328125/3320136046189810118380190435787064229282705767983323327*t^10 - 461783621854784646507850495443338180654118381804857705561848666309219936597227069399156890625/3320136046189810118380190435787064229282705767983323327*t^8 + 344097933968026220695413891519653244050432093663987436097532443351043318659884670572659343750/3320136046189810118380190435787064229282705767983323327*t^6 - 131129620704083916666673578016033849352503178855965209441778894081364845734904485562717968750/3320136046189810118380190435787064229282705767983323327*t^4 + 18029920884054293450768562688319602816641133107144965589950194819690102104663749561374921875/3320136046189810118380190435787064229282705767983323327*t^2 - 288019055560707364851459291010561003894211814624496932806444783286946105094567050033359375/3320136046189810118380190435787064229282705767983323327
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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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