Starting with polynomial:
P : 8*t^3 - 12*t
Extension levels are: 3 6 26
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Trying to find an order 6 Kronrod extension for:
P1 : 8*t^3 - 12*t
Solvable: 1
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Trying to find an order 26 Kronrod extension for:
P2 : 8*t^9 - 117*t^7 + 945/2*t^5 - 2205/4*t^3 + 945/8*t
Solvable: 1
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Ending with final polynomial:
P : 8*t^35 - 290697708258522989004080931821/149908590829531287591787323*t^33 + 3765175490117101671802713294925/18170738282367428799004524*t^31 - 5163604061077454135245186661266739/399756242212083433578099528*t^29 + 1256805400737228573606089585726811031/2398537453272500601468597168*t^27 - 2596188494765740681609590180974264125/177669440983148192701377568*t^25 + 102526940774678510281832126147751403275/355338881966296385402755136*t^23 - 264506466412973194947735213321176239525/64607069448417524618682752*t^21 + 13310989224423175302394787916432742725/317479456748980464956672*t^19 - 79724345682880297261467398447163295305975/258428277793670098474731008*t^17 + 831694491688574974955376740619163680561375/516856555587340196949462016*t^15 - 6006479197812439372482655158331641183061875/1033713111174680393898924032*t^13 + 2631069359300418656618132235241130357742375/187947838395396435254349824*t^11 - 8003658380864455962810141255411397948065375/375895676790792870508699648*t^9 + 155676040108256963714564075056674000041554875/8269704889397443151191392256*t^7 - 141080780245798380617120080422583950881784375/16539409778794886302382784512*t^5 + 53751834892663314539541725817696059768255625/33078819557589772604765569024*t^3 - 6038866703595855320517922290826257435001875/66157639115179545209531138048*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:   33 out of 35
Indefinite weights: 0 out of 35
Negative weights:   2 out of 35
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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