Starting with polynomial:
P : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Extension levels are: 10 48
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Trying to find an order 48 Kronrod extension for:
P1 : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Solvable: 1
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Ending with final polynomial:
P : 1024*t^58 - 149496274263206082738559540170171492768036671196387238005746176/209168570909958037457951997454585046444810463382949369601*t^56 + 660718690270808957699960975569147874963473408578090725183662620160/2858637135769426511925343965212662301412409666233641384547*t^54 - 131614944199280989972922116221818874686838332487223236889170262065920/2858637135769426511925343965212662301412409666233641384547*t^52 + 33635460204122851639360270599181947690621524910283171245490473129506240/5308897537857506379289924506823515702623046523005333999873*t^50 - 21527696651902191096295419843440860800715668165902685666034824397370228320/33623017739764207068836188543215599449945961312367115332529*t^48 + 1658173612075661340296166726857637327163896048969531174086210473072644124480/33623017739764207068836188543215599449945961312367115332529*t^46 - 99733880473163964420187048607094838618237756342745096106121528254797791015200/33623017739764207068836188543215599449945961312367115332529*t^44 + 4761254908675217129439091732332335166970253942178009190055616665898967685789700/33623017739764207068836188543215599449945961312367115332529*t^42 - 4449207020508630405609414798083562008690523683909042263436363288516229201850650/820073603408883099239907037639404864632828324691880861769*t^40 + 10600185674983460116285627504880828491790939726457330375846738212058679097019150/63082584877606392249223618279954220356371409591683143213*t^38 - 14030572376905659247275543227967001564240208435628658548336233679688013392526025/3320136046189810118380190435787064229282705767983323327*t^36 + 1148392446815774907364759144569882676024385843975782599657599480458373120296892625/13280544184759240473520761743148256917130823071933293308*t^34 - 38242134340024217119481529637729237812025993200008944179500844494720798181062377125/26561088369518480947041523486296513834261646143866586616*t^32 + 129302691442269686009289520564765161139754648824540136819067356462943585098135530125/6640272092379620236760380871574128458565411535966646654*t^30 - 2831037707845516465205760534191125750447327514817450482935500136591397373126921377625/13280544184759240473520761743148256917130823071933293308*t^28 + 399273994295749409461679502958477748788083359705870532659066478687621043394803117711125/212488706956147847576332187890372110674093169150932692928*t^26 - 5627423754687622656353684422171660880561472208743994499204342129554927123916726452565625/424977413912295695152664375780744221348186338301865385856*t^24 + 31414738687596808234057431123029261656634245652808311074006716334521587275834752545503125/424977413912295695152664375780744221348186338301865385856*t^22 - 274653958948071132905747344562762797213037181019059825367782504485328136001661550970090625/849954827824591390305328751561488442696372676603730771712*t^20 + 3706980548267876526796613986948310499918370722644868951700577154011903757272290565525821875/3399819311298365561221315006245953770785490706414923086848*t^18 - 18967091265305331656793662829732165888005128285690400765600505846781147645312164219358059375/6799638622596731122442630012491907541570981412829846173696*t^16 + 17985730292603312694595515580001780800958723707151196576407830540067493010261492677446671875/3399819311298365561221315006245953770785490706414923086848*t^14 - 49134183914946900596153267454740927014894289183015834212598332645816247380971743156034984375/6799638622596731122442630012491907541570981412829846173696*t^12 + 372053472143465403407176870895889427230018175457080938972900237959632238673560172498222328125/54397108980773848979541040099935260332567851302638769389568*t^10 - 461783621854784646507850495443338180654118381804857705561848666309219936597227069399156890625/108794217961547697959082080199870520665135702605277538779136*t^8 + 172048966984013110347706945759826622025216046831993718048766221675521659329942335286329671875/108794217961547697959082080199870520665135702605277538779136*t^6 - 65564810352041958333336789008016924676251589427982604720889447040682422867452242781358984375/217588435923095395918164160399741041330271405210555077558272*t^4 + 18029920884054293450768562688319602816641133107144965589950194819690102104663749561374921875/870353743692381583672656641598964165321085620842220310233088*t^2 - 288019055560707364851459291010561003894211814624496932806444783286946105094567050033359375/1740707487384763167345313283197928330642171241684440620466176
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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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