Starting with polynomial:
P : 2*t
Extension levels are: 1 16 30
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Trying to find an order 16 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 30 Kronrod extension for:
P2 : 2*t^17 - 136*t^15 + 3570*t^13 - 46410*t^11 + 1276275/4*t^9 - 2297295/2*t^7 + 16081065/8*t^5 - 11486475/8*t^3 + 34459425/128*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^47 - 1023366470095438168087/1290748828758126367*t^45 + 368849091521700651190065/2581497657516252734*t^43 - 217867230480452181784448705/14013844426516800556*t^41 + 32068009887953432128165809125/28027688853033601112*t^39 - 3389898970750755239297664032565/56055377706067202224*t^37 + 266742239502836088302738792454115/112110755412134404448*t^35 - 15981668250943364593093227088287775/224221510824268808896*t^33 + 369849219444853792582517657517013575/224221510824268808896*t^31 - 13340593158299232330391404698152347375/448443021648537617792*t^29 + 376687608191992383159131397799792757625/896886043297075235584*t^27 - 8333079625044113879933399028187787347125/1793772086594150471168*t^25 + 144065233658106375801250985889745905253125/3587544173188300942336*t^23 - 1935072458961202468364143222311717970153125/7175088346376601884672*t^21 + 1052789225876048927345877311420346105290625/755272457513326514176*t^19 - 8261169086402558130032702589457233599833125/1510544915026653028352*t^17 + 96573074869579123947049772372395424360938125/6042179660106612113408*t^15 - 409781280126511221725875022674781568495103125/12084359320213224226816*t^13 + 1218671924375982261668243000464769639291071875/24168718640426448453632*t^11 - 2418481713655284021243430868330434195014234375/48337437280852896907264*t^9 + 2983605045727731212356793091297762649288846875/96674874561705793814528*t^7 - 2055427184313199842889421875481912116711096875/193349749123411587629056*t^5 + 662826147624291975137671238917029035745328125/386699498246823175258112*t^3 - 68466195912714957451185730923507542084390625/773398996493646350516224*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 47
Indefinite weights: 0 out of 47
Negative weights:   2 out of 47
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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