Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 11 26
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Trying to find an order 11 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
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Trying to find an order 26 Kronrod extension for:
P2 : 16*t^15 - 2564/3*t^13 + 116464/7*t^11 - 1045605/7*t^9 + 4515555/7*t^7 - 5082165/4*t^5 + 1931985/2*t^3 - 2916045/16*t
Solvable: 1
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Ending with final polynomial:
P : 16*t^41 - 326261234797938476342113382602835674723427744563928078339914964/66475326644627431323131320715750426147884684604002742613903*t^39 + 1990989488701970246438768156314136542217073245311993205327502501616/2947072814578482788658821885064935559222887684110788255883033*t^37 - 23295922296700774368241548116711123022534294088252858783462690584585/421010402082640398379831697866419365603269669158684036554719*t^35 + 151060574776309772365769233588648365756616585625514070934173478559894240/50100237847834207407199972046103904506789090629883400350011561*t^33 - 11602098522581959730682495029168914211170751182098587575278402893503734345/100200475695668414814399944092207809013578181259766800700023122*t^31 + 162255212109219203949495352529613415062962184634052823726021081011595809355/50100237847834207407199972046103904506789090629883400350011561*t^29 - 26954513112757326021841275322456041263574699799636818690186467780707524110685/400801902782673659257599776368831236054312725039067202800092488*t^27 + 52476528000110121673312886850469327430620053276492889759187128702434009595125/50100237847834207407199972046103904506789090629883400350011561*t^25 - 2460959135326000120677411991795544220428936726923207357865900195793587470807125/200400951391336829628799888184415618027156362519533601400046244*t^23 + 43359582555511696891086601910848632225303231594184399235022653822342998842115875/400801902782673659257599776368831236054312725039067202800092488*t^21 - 2143330912092972159216494963690774376140793125043029297923741747340226553330875/3013548141223110219981953205780685985370772368714790998496936*t^19 + 9779309042598272687522316504536443497769043898992274770418835219822145119801125/2836280603504103736453603017205351515643079876437450351526528*t^17 - 137352796435956291832111593775508664966284005869180708309440798223134602955431875/11345122414016414945814412068821406062572319505749801406106112*t^15 + 8963509515244546877346295942759056035856424146003287772301798961491396524335625/298555853000431972258274001811089633225587355414468458055424*t^13 - 2303331797050782858212793939778490233867467902210925633544315678188313305524199375/45380489656065659783257648275285624250289278022999205624424448*t^11 + 5046687050932010287900564880071772352558612029946329759747119438006998984060511875/90760979312131319566515296550571248500578556045998411248848896*t^9 - 13253860512262349030574541077921420945120111259887550351661271735986697871392605625/363043917248525278266061186202284994002314224183993644995395584*t^7 + 1134279330621680422861084746390482692606367964339691075373016002724549748019803125/90760979312131319566515296550571248500578556045998411248848896*t^5 - 2329284645744138046761340249564982729481691704347195340502901540001631536171928125/1452175668994101113064244744809139976009256896735974579981582336*t^3 + 3838903059160173952235662547247281780300072217321120445880934848899007864109375/726087834497050556532122372404569988004628448367987289990791168*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
Sufficient bits for target precision reached
Positive weights:   40 out of 41
Indefinite weights: 0 out of 41
Negative weights:   1 out of 41
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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