Starting with polynomial:
P : t
Extension levels are: 1 2 6 10
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
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Trying to find an order 6 Kronrod extension for:
P2 : t^3 - 3*t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P3 : t^9 - 117/4*t^7 + 945/4*t^5 - 2205/4*t^3 + 945/4*t
Solvable: 1
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Ending with final polynomial:
P : t^19 - 23713751/205892*t^17 + 2134183615/411784*t^15 - 48885080515/411784*t^13 + 623352876985/411784*t^11 - 4536269518165/411784*t^9 + 18427952550645/411784*t^7 - 38805894891225/411784*t^5 + 36681698574675/411784*t^3 - 11110847880825/411784*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:   17 out of 19
Indefinite weights: 0 out of 19
Negative weights:   2 out of 19
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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