Starting with polynomial:
P : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Extension levels are: 8 11 16
-------------------------------------------------
Trying to find an order 11 Kronrod extension for:
P1 : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : 256*t^19 - 19308928/1347*t^17 + 418651520/1347*t^15 - 1521292480/449*t^13 + 9071700160/449*t^11 - 30031939520/449*t^9 + 52723966680/449*t^7 - 43021232100/449*t^5 + 12604959675/449*t^3 - 2144332575/898*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 256*t^35 - 1164942969617083049107864308361404192697302517081704832/23954255306085836476638257585668576661430390905643*t^33 + 4369470327565070011015025463308757057702376270507159187584/1077941488773862641448721591355085949764367590753935*t^31 - 126937020501049623934687126453290168906592891380470683362880/646764893264317584869232954813051569858620554452361*t^29 + 43830783327331764728003964965722797292215141730307135396595040/7114413825907493433561562502943567268444826098975971*t^27 - 7857264321095983199619894815805804574743046582541817452459888752/59286781882562445279679687524529727237040217491466425*t^25 + 358194140247174926141814832666812251832788268345066757347869311912/177860345647687335839039062573589181711120652474399275*t^23 - 3906694975499803890947357238415286892565725561079401824705471624588/177860345647687335839039062573589181711120652474399275*t^21 + 564080657307073046463132556499773449326672708193270973935979958812196/3260773003540934490382382813849134998037211962030653375*t^19 - 9605625675861202860685317170838185772302402754605627520900262287596372/9782319010622803471147148441547404994111635886091960125*t^17 + 15568896242325014767177127743482101582192274529535978187394444206074557/3912927604249121388458859376618961997644654354436784050*t^15 - 29477009079633663897825341037353046873533180478881886671092912777473841/2608618402832747592305906251079307998429769569624522700*t^13 + 113919297473515019601928626698156033129248780397499408955991215602429509/5217236805665495184611812502158615996859539139249045400*t^11 - 26022684099064008875602003803357497360165163573405731680601585060491441/948588510120999124474875000392475635792643479863462800*t^9 + 4413010997696577496789823167721655743792690362622829641168051901356477/210797446693555360994416666753883474620587439969658400*t^7 - 740739988607828142275417894353342622406989123513227806613209772157711/84318978677422144397766666701553389848234975987863360*t^5 + 591903346062803194698060510766556000505421165134737268073165954940887/337275914709688577591066666806213559392939903951453440*t^3 - 27618701003619992880560587497276815829811804402514926763499279692081/224850609806459051727377777870809039595293269300968960*t
-------------------------------------------------
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: 1
  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:   33 out of 35
Indefinite weights: 0 out of 35
Negative weights:   2 out of 35
Extension rule has valid weights: 0
**************************************
*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
