Starting with polynomial:
P : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Extension levels are: 8 19
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Trying to find an order 19 Kronrod extension for:
P1 : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Solvable: 1
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Ending with final polynomial:
P : 256*t^27 - 103979191936/2980019*t^25 + 5986878345600/2980019*t^23 - 355849670846400/5534321*t^21 + 77167934332544400/60877531*t^19 - 982207262395135800/60877531*t^17 + 8235782950037677200/60877531*t^15 - 45621315787167603000/60877531*t^13 + 12686440347454676625/4682887*t^11 - 5280959871173476125/851434*t^9 + 7236328321833148125/851434*t^7 - 10713703347387691875/1702868*t^5 + 14093817146384810625/6811472*t^3 - 2605992197474649375/13622944*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:   25 out of 27
Indefinite weights: 0 out of 27
Negative weights:   2 out of 27
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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