Starting with polynomial:
P : 32*t^5 - 160*t^3 + 120*t
Extension levels are: 5 56
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Trying to find an order 56 Kronrod extension for:
P1 : 32*t^5 - 160*t^3 + 120*t
Solvable: 1
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Ending with final polynomial:
P : 32*t^61 - 23819183150950371008540174841180348642822342297056/869747000783558979970315732869543405757899861*t^59 + 123610590262950722026459830197192807826226244046474472/11306711010186266739614104527304064274852698193*t^57 - 10204232668718481753397539890969229492895532742821061040/3768903670062088913204701509101354758284232731*t^55 + 3687751819747620094362814244845721647285545871812457270/7901265555685720992043399390149590688226903*t^53 - 36203701981257333883620619729973002871540389791223548950/607789658129670845541799953088430052940531*t^51 + 7104524789780551725113958878990540526441162683011418771475/1215579316259341691083599906176860105881062*t^49 - 274695763871408001657610767116410450887541628602245762097950/607789658129670845541799953088430052940531*t^47 + 136225030077824242056945151147516656506629406165660079899778375/4862317265037366764334399624707440423524248*t^45 - 6849464950283612590715736629139007614306416598201452469381974625/4862317265037366764334399624707440423524248*t^43 + 1126453347454579727886235855371893835374113352402793144211343692875/19449269060149467057337598498829761694096992*t^41 - 464292343665048217436617112180204604441578834430151844712443557125/237186208050603256796799981693045874318256*t^39 + 103513522988254305850290077338888588004066961206115386106502186759875/1897489664404826054374399853544366994546048*t^37 - 2381460560036095679805441828518829360041754545334523307170372343731875/1897489664404826054374399853544366994546048*t^35 + 180824174189963282809991480176352741258971989798260184560678669785299375/7589958657619304217497599414177467978184192*t^33 - 353277913165937519375353473054859533910502658987081274180823233574330625/948744832202413027187199926772183497273024*t^31 + 144953201275424224422236436449157293883796939085681345240525300414312630625/30359834630477216869990397656709871912736768*t^29 - 52302371534873876727587499446733047239951510278576517018488963951750324375/1046890849326800581723806815748616272852992*t^27 + 1774094695596567023909655387331844164806036522237100173451113743929573640625/4187563397307202326895227262994465091411968*t^25 - 6042175644137366255919063971747359754285032444364030281786917643997881265625/2093781698653601163447613631497232545705984*t^23 + 261567756972267595430364504113390202302167792060319371858439842308384210890625/16750253589228809307580909051977860365647872*t^21 - 1109265401154535010512145953177330298250942677182437688275847316045248115953125/16750253589228809307580909051977860365647872*t^19 + 14503136277338632222152035048984599922482415036399307940868990512953374522203125/67001014356915237230323636207911441462591488*t^17 - 8949578006759614029767647715845808758609377886595710455874554713393671118671875/16750253589228809307580909051977860365647872*t^15 + 260231886104716472977789104310904195217620818212022764565102776326036103089765625/268004057427660948921294544831645765850365952*t^13 - 337240483924836073225395744165901448003822272137708192914802713505153556330734375/268004057427660948921294544831645765850365952*t^11 + 1195121162964850220699971417571689444132233699107239286990483146642295248356703125/1072016229710643795685178179326583063401463808*t^9 - 340844649636304612989817760199941778210212963206462399009543928191617321447234375/536008114855321897842589089663291531700731904*t^7 + 909025020591112703069735275940144566896002107503670700138611240165627501661953125/4288064918842575182740712717306332253605855232*t^5 - 147343858277835657413934035102180541539366095303463757986279571278383079365078125/4288064918842575182740712717306332253605855232*t^3 + 29629035212755729957334471157149415749227676737539465019795262217994311734765625/17152259675370300730962850869225329014423420928*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:   59 out of 61
Indefinite weights: 0 out of 61
Negative weights:   2 out of 61
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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