Starting with polynomial:
P : 64*t^6 - 480*t^4 + 720*t^2 - 120
Extension levels are: 6 49
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Trying to find an order 49 Kronrod extension for:
P1 : 64*t^6 - 480*t^4 + 720*t^2 - 120
Solvable: 1
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Ending with final polynomial:
P : 64*t^55 - 14440367788501149589734194937778315146842228731816561760/338071256417604147929271014526164762694207273539701*t^53 + 49010137556373613971617318317329952785115808207948674302320/3718783820593645627221981159787812389636280008936711*t^51 - 4489339539088243368635745469205303131366943592683411586915960/1796715778489064741242080785066021716341124049261557*t^49 + 52188561680066777480079720643404323048737967013322562277084741720/159907704285526761970545189870875932754360040384278573*t^47 - 4991108735880619165398809831033658880993778703058612902546935004180/159907704285526761970545189870875932754360040384278573*t^45 + 32963953366630701802956231783154683537333703592299744209889832523450/14537064025956978360958653624625084795850912762207143*t^43 - 43327217571970470371063012595836369869808293222210092169463906076525/338071256417604147929271014526164762694207273539701*t^41 + 7741900548580754677214243575121618458662201522649186822619102678077575/1352285025670416591717084058104659050776829094158804*t^39 - 29076851698398510152833391154955370022790354418138404272706202684097675/142345792175833325443903585063648321134403062543032*t^37 + 1668301435827925743750985974349213840302843609548357078255098256128977525/284691584351666650887807170127296642268806125086064*t^35 - 4065295151665844901210824515166617824952311426482425323639299643775507125/29967535194912279040821807381820699186190118430112*t^33 + 722248293396061028619346267453105926485336905697204572030184048295381514875/284691584351666650887807170127296642268806125086064*t^31 - 1147330209765929369420702284546343369018800130495870235103205311764128142375/29967535194912279040821807381820699186190118430112*t^29 + 529261256851069002126001523600176587952080666039804269083761247444911451926375/1138766337406666603551228680509186569075224500344256*t^27 - 10281986957869737462568131612676930958787997425769292993051063644788392348134125/2277532674813333207102457361018373138150449000688512*t^25 + 634536288777780564814503894722473883214695391693166437980564062530948389632790625/18220261398506665656819658888146985105203592005508096*t^23 - 7697018965317305490353286562133365191485313981658527762487679304473272882316784375/36440522797013331313639317776293970210407184011016192*t^21 + 72452797542102041637142978290235383589697801659554133765696861074679083335175590625/72881045594026662627278635552587940420814368022032384*t^19 - 27387898630214713066417356856280458413206309047161201551541975176619656685081440625/7671689009897543434450382689746098991664670318108672*t^17 + 1394751157514311111147828215641595778825345622834899881378171874888344468916157315625/145762091188053325254557271105175880841628736044064768*t^15 - 5419208847605167481890612925576385061806854681686246829241061024696801628827315734375/291524182376106650509114542210351761683257472088129536*t^13 + 14657574470927109697616566355061292096466151762910977431666209218203563295640734203125/583048364752213301018229084420703523366514944176259072*t^11 - 26030206564680774376167838895587504485720954956007282713283636290203494425050482984375/1166096729504426602036458168841407046733029888352518144*t^9 + 55419124056555958030372154729067193657452057866516426039550719731162827761120222296875/4664386918017706408145832675365628186932119553410072576*t^7 - 30160231788089941534287376467415081947935734052196563660506576851267099079186735078125/9328773836035412816291665350731256373864239106820145152*t^5 + 5917386825307713939043380126258033542434490762153289339140924397290006621137486171875/18657547672070825632583330701462512747728478213640290304*t^3 - 50921732550984757027110272708475065757538784426139582027427669641357679954964765625/37315095344141651265166661402925025495456956427280580608*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:   54 out of 55
Indefinite weights: 0 out of 55
Negative weights:   1 out of 55
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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