Starting with polynomial:
P : t^10 - 45*t^8 + 630*t^6 - 3150*t^4 + 4725*t^2 - 945
Extension levels are: 10 23
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Trying to find an order 23 Kronrod extension for:
P1 : t^10 - 45*t^8 + 630*t^6 - 3150*t^4 + 4725*t^2 - 945
Solvable: 1
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Ending with final polynomial:
P : t^33 - 156810282443/366447291*t^31 + 1404357136905/17449871*t^29 - 153574817568795/17449871*t^27 + 533506561258387005/855043679*t^25 - 336475924356965936355/11115567827*t^23 + 234507376663334954685/226848323*t^21 - 39975452837699066946225/1587938261*t^19 + 695413321660625680101825/1587938261*t^17 - 504326479549885125380775/93408133*t^15 + 618362866482317768089575/13344019*t^13 - 1931500890164964327335775/7185241*t^11 + 7237587463937220687746625/7185241*t^9 - 2335410379982438074144125/1026463*t^7 + 2845790688193095799195875/1026463*t^5 - 1532461811332865984789625/1026463*t^3 + 230401564189739555258250/1026463*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:   31 out of 33
Indefinite weights: 0 out of 33
Negative weights:   2 out of 33
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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