Starting with polynomial:
P : t^14 - 91*t^12 + 3003*t^10 - 45045*t^8 + 315315*t^6 - 945945*t^4 + 945945*t^2 - 135135
Extension levels are: 14 24
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Trying to find an order 24 Kronrod extension for:
P1 : t^14 - 91*t^12 + 3003*t^10 - 45045*t^8 + 315315*t^6 - 945945*t^4 + 945945*t^2 - 135135
Solvable: 1
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Ending with final polynomial:
P : t^38 - 169382672229221807/331806829966397*t^36 + 191320100884570086891/1659034149831985*t^34 - 25321191242689965183561/1659034149831985*t^32 + 2191449568142636139939678/1659034149831985*t^30 - 26224367581639656356221602/331806829966397*t^28 + 1118663284788608031439255674/331806829966397*t^26 - 34591003843458270719794829238/331806829966397*t^24 + 780951014510484282610846111488/331806829966397*t^22 - 12871951324925947163749163603664/331806829966397*t^20 + 153870891014891514805379384373720/331806829966397*t^18 - 1316373523159640311584552105581040/331806829966397*t^16 + 7891091174347349350688670920627610/331806829966397*t^14 - 32124854519517592412029442618335710/331806829966397*t^12 + 84834150613205574518570723961100230/331806829966397*t^10 - 135677849820266822510460442795821450/331806829966397*t^8 + 118220636739083634031043257385170275/331806829966397*t^6 - 47949281326557979111768492319076225/331806829966397*t^4 + 7893990025453446553686106858023225/331806829966397*t^2 - 434928679519943516173538769171675/331806829966397
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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: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   36 out of 38
Indefinite weights: 0 out of 38
Negative weights:   2 out of 38
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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