Starting with polynomial:
P : 64*t^6 - 480*t^4 + 720*t^2 - 120
Extension levels are: 6 37
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Trying to find an order 37 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^43 - 16020097344530635922584031800157856/633555602248846271995200121823*t^41 + 2856294859798422574093855738255509234/633555602248846271995200121823*t^39 - 9447238503211931565163187290123606328121/19640223669714234431851203776513*t^37 + 1348938273215293097223572548040474123974875/39280447339428468863702407553026*t^35 - 136545541584284561335808746579931518022457945/78560894678856937727404815106052*t^33 + 230209240537209734673056333120947886885769165/3570949758129860805791127959366*t^31 - 411672812296294326614228178243035462856881685/230383855363216826180072771572*t^29 + 17238777767451141201783555871800551932741311855/460767710726433652360145543144*t^27 - 547681058522804108968370983808330261742320564925/921535421452867304720291086288*t^25 + 26381337001738247476732570531973005733488746883125/3686141685811469218881164345152*t^23 - 479019206410314470108577303022976223329013408262875/7372283371622938437762328690304*t^21 + 6490063002553164836736048314922880233111376856777625/14744566743245876875524657380608*t^19 - 64594465328386720134304794731009933281412216009737875/29489133486491753751049314761216*t^17 + 230978060217913937566766862737450786681139734515044375/29489133486491753751049314761216*t^15 - 1151275992276772858466397255812886934481336727935810625/58978266972983507502098629522432*t^13 + 3833294671183049837049540910907222786757925375259765625/117956533945967015004197259044864*t^11 - 8024592213005651585366385420320566704227974362549166875/235913067891934030008394518089728*t^9 + 38546627736150367394424098513592145052450063205107611875/1887304543135472240067156144717824*t^7 - 22769400061845720248084829083083016489502261733695028125/3774609086270944480134312289435648*t^5 + 4805707350953199409530973969331730776387051741416284375/7549218172541888960268624578871296*t^3 - 92259956188554875026725760882872843244660313439178125/15098436345083777920537249157742592*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:   42 out of 43
Indefinite weights: 0 out of 43
Negative weights:   1 out of 43
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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