Starting with polynomial:
P : t
Extension levels are: 1 12 20
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Trying to find an order 12 Kronrod extension for:
P1 : t
Solvable: 1
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Trying to find an order 20 Kronrod extension for:
P2 : t^13 - 78*t^11 + 2145*t^9 - 25740*t^7 + 135135*t^5 - 270270*t^3 + 135135*t
Solvable: 1
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Ending with final polynomial:
P : t^33 - 4771770576/12466867*t^31 + 795155832225/12466867*t^29 - 76243269015990/12466867*t^27 + 4685568128093385/12466867*t^25 - 194632100428539780/12466867*t^23 + 5617377226822139865/12466867*t^21 - 16295096250189991350/1780981*t^19 + 233210999957340189825/1780981*t^17 - 2334960797529732895800/1780981*t^15 + 16081634307687532274925/1780981*t^13 - 74082774806448919986150/1780981*t^11 + 218661779755027380754125/1780981*t^9 - 387936126362667166069500/1780981*t^7 + 377382794865165680716125/1780981*t^5 - 176761761330601711514250/1780981*t^3 + 29884178961649755492750/1780981*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:   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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