Starting with polynomial:
P : t^8 - 28*t^6 + 210*t^4 - 420*t^2 + 105
Extension levels are: 8 11 16
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Trying to find an order 11 Kronrod extension for:
P1 : t^8 - 28*t^6 + 210*t^4 - 420*t^2 + 105
Solvable: 1
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Trying to find an order 16 Kronrod extension for:
P2 : t^19 - 150851/1347*t^17 + 6541430/1347*t^15 - 47540390/449*t^13 + 566981260/449*t^11 - 3753992440/449*t^9 + 13180991670/449*t^7 - 21510616050/449*t^5 + 12604959675/449*t^3 - 2144332575/449*t
Solvable: 1
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Ending with final polynomial:
P : t^35 - 9101116950133461321155189909073470255447675914700819/23954255306085836476638257585668576661430390905643*t^33 + 68272973868204218922109772864199329026599629226674362306/1077941488773862641448721591355085949764367590753935*t^31 - 3966781890657800747958972701665317778331027855639708855090/646764893264317584869232954813051569858620554452361*t^29 + 2739423957958235295500247810357674830763446358144195962287190/7114413825907493433561562502943567268444826098975971*t^27 - 982158040136997899952486851975725571842880822817727181557486094/59286781882562445279679687524529727237040217491466425*t^25 + 89548535061793731535453708166703062958197067086266689336967327978/177860345647687335839039062573589181711120652474399275*t^23 - 1953347487749901945473678619207643446282862780539700912352735812294/177860345647687335839039062573589181711120652474399275*t^21 + 564080657307073046463132556499773449326672708193270973935979958812196/3260773003540934490382382813849134998037211962030653375*t^19 - 19211251351722405721370634341676371544604805509211255041800524575192744/9782319010622803471147148441547404994111635886091960125*t^17 + 31137792484650029534354255486964203164384549059071956374788888412149114/1956463802124560694229429688309480998822327177218392025*t^15 - 58954018159267327795650682074706093747066360957763773342185825554947682/652154600708186898076476562769826999607442392406130675*t^13 + 227838594947030039203857253396312066258497560794998817911982431204859018/652154600708186898076476562769826999607442392406130675*t^11 - 52045368198128017751204007606714994720330327146811463361203170120982882/59286781882562445279679687524529727237040217491466425*t^9 + 8826021995393154993579646335443311487585380725245659282336103802712954/6587420209173605031075520836058858581893357499051825*t^7 - 1481479977215656284550835788706685244813978247026455613226419544315422/1317484041834721006215104167211771716378671499810365*t^5 + 591903346062803194698060510766556000505421165134737268073165954940887/1317484041834721006215104167211771716378671499810365*t^3 - 27618701003619992880560587497276815829811804402514926763499279692081/439161347278240335405034722403923905459557166603455*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:   33 out of 35
Indefinite weights: 0 out of 35
Negative weights:   2 out of 35
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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