Starting with polynomial:
P : 1/2*t^2 - 2*t + 1
Extension levels are: 2 15
-------------------------------------------------
Trying to find an order 15 Kronrod extension for:
P1 : 1/2*t^2 - 2*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1/2*t^17 - 1411157388693450989/11009257146336682*t^16 + 88917068714412518615863/6154174744802205238*t^15 - 5824906634678829632613975/6154174744802205238*t^14 + 123509754122466086117737575/3077087372401102619*t^13 - 275037720051216936613107945/236699028646238663*t^12 + 5586807135058962857243542980/236699028646238663*t^11 - 80632917209495643147053638740/236699028646238663*t^10 + 828553232860248165773546043000/236699028646238663*t^9 - 6021672318449082612930529917000/236699028646238663*t^8 + 30497810266808366188476038068800/236699028646238663*t^7 - 105136130586245211867290127451200/236699028646238663*t^6 + 238557447052062127998984761385600/236699028646238663*t^5 - 340401561870734978813068549680000/236699028646238663*t^4 + 287390081584386414402863814720000/236699028646238663*t^3 - 131628754149102879178690458432000/236699028646238663*t^2 + 27750582362407840699255164288000/236699028646238663*t - 1625805512532607345539836544000/236699028646238663
-------------------------------------------------
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:
| (51.682453679856545028 + 1.1323226420152640874e-300j)  +/-  (8.83e-121, 8.83e-121j)
| (34.564571832718838349 + 1.3461151766246619434e-313j)  +/-  (2.16e-119, 2.16e-119j)
| (41.921689663868539933 - 5.771742980158198766e-328j)  +/-  (6.62e-120, 6.62e-120j)
| (28.559825762409116136 + 5.7363005299425848915e-334j)  +/-  (4.06e-119, 4.06e-119j)
| (7.0499697374354118508 - 1.4014389105927740802e-340j)  +/-  (9.89e-121, 9.89e-121j)
| (9.4184591598300771881 + 2.5692861040405736683e-356j)  +/-  (3.77e-120, 3.77e-120j)
| (12.194701814747123223 + 2.1720428265990466098e-369j)  +/-  (1.02e-119, 1.02e-119j)
| (23.496905193427815048 + 2.2545683940739314199e-386j)  +/-  (4.62e-119, 4.62e-119j)
| (5.0567892511267437698 - 2.4819662490853950514e-395j)  +/-  (2.3e-121, 2.3e-121j)
| (0.5857864376269049512 + 6.2610287034775083694e-403j)  +/-  (7.61e-124, 7.61e-124j)
| (0.54159984854092058066 + 2.7121629651306739615e-402j)  +/-  (5.96e-124, 5.96e-124j)
| (3.4142135623730950488 + 1.4052468406721263487e-398j)  +/-  (4e-122, 4e-122j)
| (19.161031713745473229 - 6.4418066753605666713e-402j)  +/-  (4.37e-119, 4.37e-119j)
| (15.422235975393853641 + 7.8741126212417290276e-414j)  +/-  (2.55e-119, 2.55e-119j)
| (0.090586967387827504817 + 3.0064353966034918928e-427j)  +/-  (5.38e-127, 5.38e-127j)
| (2.1024195252674467606 + 8.8870259775562716827e-424j)  +/-  (5.07e-123, 5.07e-123j)
| (1.0950899479517442886 + 4.9840127301145160448e-425j)  +/-  (9.91e-124, 9.91e-124j)
-------------------------------------------------
The weights are:
| (4.24006190842317915e-22 - 2.4482036984424943929e-322j)  +/-  (2.21e-52, 1.48e-111j)
| (6.4177290238054866116e-15 - 1.3428638913461946367e-319j)  +/-  (5.56e-50, 3.71e-109j)
| (5.1461669710431582379e-18 + 6.0349110835094184962e-321j)  +/-  (3.13e-51, 2.09e-110j)
| (2.1677055942763989992e-12 + 2.0182069587804499416e-318j)  +/-  (2.9e-49, 1.93e-108j)
| (0.0018876814700096717568 + 6.6914329027759898278e-314j)  +/-  (3.09e-43, 2.06e-102j)
| (0.00020840128095944944747 - 1.9801008190811753706e-314j)  +/-  (8.66e-45, 5.78e-104j)
| (1.5138604864740989124e-05 + 4.9354986427804129133e-315j)  +/-  (2.48e-46, 1.65e-105j)
| (2.9173242438547134291e-10 - 2.1283897320579402668e-317j)  +/-  (1.37e-49, 9.15e-109j)
| (0.01154959895541342235 - 1.9499711154886559502e-313j)  +/-  (2.42e-44, 1.62e-103j)
| (-0.7936100240538744037 - 3.80837169843010865e-311j)  +/-  (1.7e-41, 1.14e-100j)
| (1.0804059371235813544 + 3.5425943712619691277e-311j)  +/-  (1.69e-41, 1.12e-100j)
| (0.048501388560602122026 + 5.0629109474567775669e-313j)  +/-  (8.13e-44, 5.42e-103j)
| (1.9174139603501895342e-08 + 1.6668922604291996594e-316j)  +/-  (3.84e-49, 2.56e-108j)
| (6.9617138828790191452e-07 - 1.0128379294919318838e-315j)  +/-  (2.96e-48, 1.98e-107j)
| (0.21356994878400207587 - 7.9827755453228356227e-313j)  +/-  (5.29e-44, 3.52e-103j)
| (0.14082450602035714208 - 1.259049727696452787e-312j)  +/-  (7e-45, 4.7e-104j)
| (0.29664670761464998049 + 4.352623294123700085e-312j)  +/-  (3.71e-44, 2.45e-103j)
