Starting with polynomial:
P : 16384*t^14 - 745472*t^12 + 12300288*t^10 - 92252160*t^8 + 322882560*t^6 - 484323840*t^4 + 242161920*t^2 - 17297280
Extension levels are: 14 24
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Trying to find an order 24 Kronrod extension for:
P1 : 16384*t^14 - 745472*t^12 + 12300288*t^10 - 92252160*t^8 + 322882560*t^6 - 484323840*t^4 + 242161920*t^2 - 17297280
Solvable: 1
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Ending with final polynomial:
P : 16384*t^38 - 1387582850901785042944/331806829966397*t^36 + 783647133223199075905536/1659034149831985*t^34 - 51857799665029048695932928/1659034149831985*t^32 + 2244044357778059407298230272/1659034149831985*t^30 - 13426876201799504054385460224/331806829966397*t^28 + 286377800905883656048449452544/331806829966397*t^26 - 4427648491962658652133738142464/331806829966397*t^24 + 49980864928670994087094151135232/331806829966397*t^22 - 411902442397630309239973235317248/331806829966397*t^20 + 2461934256238264236886070149979520/331806829966397*t^18 - 10530988185277122492676416844648320/331806829966397*t^16 + 31564364697389397402754683682510440/331806829966397*t^14 - 64249709039035184824058885236671420/331806829966397*t^12 + 84834150613205574518570723961100230/331806829966397*t^10 - 67838924910133411255230221397910725/331806829966397*t^8 + 118220636739083634031043257385170275/1327227319865588*t^6 - 47949281326557979111768492319076225/2654454639731176*t^4 + 7893990025453446553686106858023225/5308909279462352*t^2 - 434928679519943516173538769171675/10617818558924704
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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
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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