Starting with polynomial:
P : 2*t
Extension levels are: 1 18 30
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Trying to find an order 18 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 30 Kronrod extension for:
P2 : 2*t^19 - 171*t^17 + 5814*t^15 - 101745*t^13 + 3968055/4*t^11 - 43648605/8*t^9 + 130945815/8*t^7 - 392837445/16*t^5 + 1964187225/128*t^3 - 654729075/256*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^49 - 508459003846665173892104821/562980976816838068369236*t^47 + 69695552024580368636390261071/375320651211225378912824*t^45 - 17333777911146372095497259221905/750641302422450757825648*t^43 + 2921338812712812373173068612774085/1501282604844901515651296*t^41 - 354299326896519962998804385259209145/3002565209689803031302592*t^39 + 32053393033560936285970936945445405145/6005130419379606062605184*t^37 - 2213098628452328152227449811537700041735/12010260838759212125210368*t^35 + 118338964378920344093874896173154920748775/24020521677518424250420736*t^33 - 2472796073862628820131845286664086491076275/24020521677518424250420736*t^31 + 81171330628738038070311843216197571242440875/48041043355036848500841472*t^29 - 2096212521352263366090217845806908686176383125/96082086710073697001682944*t^27 + 42528966930388751954348839757923343588659241625/192164173420147394003365888*t^25 - 675003892812558233053993602422642092880085965625/384328346840294788006731776*t^23 + 8320796282758524668084000659739644470724689515625/768656693680589576013463552*t^21 - 78829654490879828887331583996501530071796615844375/1537313387361179152026927104*t^19 + 565723897069750439673616934125123462452633613063125/3074626774722358304053854208*t^17 - 6032796822735906101345444413298188491227818512631875/12298507098889433216215416832*t^15 + 23286373255888186972291480184551526799518068928896875/24597014197778866432430833664*t^13 - 62825941893167911091688074162240345502106624050403125/49194028395557732864861667328*t^11 + 112894443073755215381471118467630892035025589767365625/98388056791115465729723334656*t^9 - 126398107944766690649487755279149848005104169906053125/196776113582230931459446669312*t^7 + 80686630332735052049702791722601015468930119162253125/393552227164461862918893338624*t^5 - 26254929916610514408525411021666467971748712459046875/787104454328923725837786677248*t^3 + 3340577900007093776974752838525229360961985948171875/1574208908657847451675573354496*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:   45 out of 49
Indefinite weights: 0 out of 49
Negative weights:   4 out of 49
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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