Starting with polynomial:
P : 512*t^9 - 9216*t^7 + 48384*t^5 - 80640*t^3 + 30240*t
Extension levels are: 9 14
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Trying to find an order 14 Kronrod extension for:
P1 : 512*t^9 - 9216*t^7 + 48384*t^5 - 80640*t^3 + 30240*t
Solvable: 1
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Ending with final polynomial:
P : 512*t^23 - 847253248/18099*t^21 + 10526171264/6033*t^19 - 69724285120/2011*t^17 + 2436061827136/6033*t^15 - 5743770803680/2011*t^13 + 24755471460720/2011*t^11 - 63531751923640/2011*t^9 + 92322361281150/2011*t^7 - 70208873169435/2011*t^5 + 50216778386775/4022*t^3 - 12961617443775/8044*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: 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:   21 out of 23
Indefinite weights: 0 out of 23
Negative weights:   2 out of 23
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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