Starting with polynomial:
P : -t+1
Extension levels are: 1 14
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Trying to find an order 14 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^15 + 7746376599571/36392001815*t^14 - 715846173495166/36392001815*t^13 + 2914372241006954/2799384755*t^12 - 98162798287254792/2799384755*t^11 + 2212078340737873608/2799384755*t^10 - 6828723209747270832/559876951*t^9 + 72713143997118857232/559876951*t^8 - 531265641108725787264/559876951*t^7 + 2617831153531615012992/559876951*t^6 - 8435577739696602663168/559876951*t^5 + 16924916651544071089920/559876951*t^4 - 19570754283824787563520/559876951*t^3 + 11474967483870563312640/559876951*t^2 - 2685986066510144133120/559876951*t + 139560666318103726080/559876951
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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
-------------------------------------------------
The nodes are:
| (46.387903854621438052 + 7.5469215824102846662e-280j)  +/-  (3.24e-121, 3.24e-121j)
| (19.624107660854981924 - 2.3931301518574279361e-281j)  +/-  (7.67e-120, 7.67e-120j)
| (24.359327600556331998 - 6.784501337763187106e-290j)  +/-  (7.98e-120, 7.98e-120j)
| (30.028032759619562799 - 5.4797338928228549902e-301j)  +/-  (5.39e-120, 5.39e-120j)
| (12.201414557252383555 + 5.3176820791901947457e-314j)  +/-  (3.12e-120, 3.12e-120j)
| (1.9325052601146089275 - 1.3229534040485328558e-320j)  +/-  (1.33e-123, 1.33e-123j)
| (15.613506566316238341 - 1.0383249115251905293e-324j)  +/-  (6.38e-120, 6.38e-120j)
| (37.029844187192950594 + 2.5414342233024601269e-331j)  +/-  (1.74e-120, 1.74e-120j)
| (0.07108397870218398751 - 9.3022489149784000003e-334j)  +/-  (2.68e-127, 2.68e-127j)
| (0.38918717955879890837 + 1.1210161300936759436e-332j)  +/-  (7.93e-126, 7.93e-126j)
| (1 + 9.6732491976160259635e-331j)  +/-  (1.17e-124, 1.17e-124j)
| (3.2072735917400916371 - 1.516126716133937344e-343j)  +/-  (1.31e-122, 1.31e-122j)
| (6.8662586327691999788 + 9.3886173429673333321e-361j)  +/-  (3.65e-121, 3.65e-121j)
| (4.8439894368566506025 - 3.4090528009194127201e-377j)  +/-  (7.73e-122, 7.73e-122j)
| (9.3048803315402862726 - 4.1069091529859225613e-392j)  +/-  (1.21e-120, 1.21e-120j)
-------------------------------------------------
The weights are:
| (8.126810983874084585e-20 - 2.9430474200676348568e-296j)  +/-  (2.64e-55, 9.92e-114j)
| (1.3047826156865853829e-08 + 1.5586087097096833915e-289j)  +/-  (1.56e-50, 5.86e-109j)
| (1.3591448237301822589e-10 + 6.7521234295031013955e-291j)  +/-  (7.39e-52, 2.78e-110j)
| (5.6798222604567850321e-13 - 1.9917629231338452768e-292j)  +/-  (2.7e-53, 1.01e-111j)
| (1.5788367101602640656e-05 + 1.4487587612009156231e-288j)  +/-  (5.1e-50, 1.92e-108j)
| (0.1593345327215450106 - 5.4015232696557482477e-287j)  +/-  (3.3e-44, 1.24e-102j)
| (6.1196118052430918526e-07 - 5.3093425361580065973e-289j)  +/-  (1.06e-50, 3.99e-109j)
| (6.547060860843936502e-16 + 4.0508128834200668233e-294j)  +/-  (4.39e-55, 1.65e-113j)
| (0.17176315827300015073 + 1.8207626278228061882e-287j)  +/-  (3.23e-44, 1.22e-102j)
| (0.31072255478326202794 - 4.8757141837293103016e-287j)  +/-  (2.44e-44, 9.17e-103j)
| (0.28246113357546170335 + 6.1326819255649930509e-287j)  +/-  (7.51e-45, 2.82e-103j)
| (0.058768028107775378236 + 3.7320200623908808677e-287j)  +/-  (1.72e-47, 6.47e-106j)
| (0.0023188063602238286198 + 1.0013586835293742083e-287j)  +/-  (9.95e-50, 3.74e-108j)
| (0.014373410645077872872 - 2.1129352355735233883e-287j)  +/-  (3.39e-49, 1.27e-107j)
| (0.00024196202106262445267 - 4.0467484505704060127e-288j)  +/-  (2.42e-50, 9.09e-109j)
