Starting with polynomial:
P : t^12 - 66*t^10 + 1485*t^8 - 13860*t^6 + 51975*t^4 - 62370*t^2 + 10395
Extension levels are: 12 26
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P1 : t^12 - 66*t^10 + 1485*t^8 - 13860*t^6 + 51975*t^4 - 62370*t^2 + 10395
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^38 - 1017737218129247743/1939697391247873*t^36 + 12465035379569738295/102089336381467*t^34 - 550440166198092415934535/32974855651213841*t^32 + 49377653232754091997178350/32974855651213841*t^30 - 180892401458314920144704010/1939697391247873*t^28 + 137239720730093091610589703570/32974855651213841*t^26 - 4467156696637430218833170796750/32974855651213841*t^24 + 106938492949054980662595265548000/32974855651213841*t^22 - 1884666713240302258460825476845000/32974855651213841*t^20 + 1279811156681477809399649699560500/1735518718484939*t^18 - 702226075349004488309969948506500/102089336381467*t^16 + 4638434539961564790921164045103750/102089336381467*t^14 - 21026896810179215372427871702091250/102089336381467*t^12 + 62452328113002945735329089234106250/102089336381467*t^10 - 113331487363928155822724185485273750/102089336381467*t^8 + 112512516106672640463452188649533125/102089336381467*t^6 - 50639498722059425888731565741071875/102089336381467*t^4 + 7350088095763929378434773929853125/102089336381467*t^2 - 188306128954750142537176209609375/102089336381467
-------------------------------------------------
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
**************************************
*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
