Starting with polynomial:
P : 524288*t^19 - 44826624*t^17 + 1524105216*t^15 - 26671841280*t^13 + 260050452480*t^11 - 1430277488640*t^9 + 4290832465920*t^7 - 6436248698880*t^5 + 4022655436800*t^3 - 670442572800*t
Extension levels are: 19 30
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Trying to find an order 30 Kronrod extension for:
P1 : 524288*t^19 - 44826624*t^17 + 1524105216*t^15 - 26671841280*t^13 + 260050452480*t^11 - 1430277488640*t^9 + 4290832465920*t^7 - 6436248698880*t^5 + 4022655436800*t^3 - 670442572800*t
Solvable: 1
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Ending with final polynomial:
P : 524288*t^49 - 33322369276095048836192981549056/140745244204209517092309*t^47 + 2283783848741449519477236074774528/46915081401403172364103*t^45 - 283996617296222160412627095091691520/46915081401403172364103*t^43 + 23931607553743358961033778075845304320/46915081401403172364103*t^41 - 1451210042968145768443102762021720657920/46915081401403172364103*t^39 + 65645348932732797513668478864272189736960/46915081401403172364103*t^37 - 2266212995535184027880908607014604842736640/46915081401403172364103*t^35 + 60589549762007216176063946840655319423372800/46915081401403172364103*t^33 - 1266071589817665955907504786772012283431052800/46915081401403172364103*t^31 + 20779860640956937745999831863346578238064864000/46915081401403172364103*t^29 - 268315202733089710859547884263284311830577040000/46915081401403172364103*t^27 + 2721853883544880125078325744507093989674191464000/46915081401403172364103*t^25 - 21600124570001863457727795277524546972162750900000/46915081401403172364103*t^23 + 133132740524136394689344010555834311531595032250000/46915081401403172364103*t^21 - 630637235927038631098652671972012240574372926755000/46915081401403172364103*t^19 + 2262895588279001758694467736500493849810534452252500/46915081401403172364103*t^17 - 6032796822735906101345444413298188491227818512631875/46915081401403172364103*t^15 + 23286373255888186972291480184551526799518068928896875/93830162802806344728206*t^13 - 62825941893167911091688074162240345502106624050403125/187660325605612689456412*t^11 + 112894443073755215381471118467630892035025589767365625/375320651211225378912824*t^9 - 126398107944766690649487755279149848005104169906053125/750641302422450757825648*t^7 + 80686630332735052049702791722601015468930119162253125/1501282604844901515651296*t^5 - 26254929916610514408525411021666467971748712459046875/3002565209689803031302592*t^3 + 3340577900007093776974752838525229360961985948171875/6005130419379606062605184*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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