Starting with polynomial:
P : 2*t
Extension levels are: 1 6 16
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : 2*t^7 - 21*t^5 + 105/2*t^3 - 105/4*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^23 - 21735/83*t^21 + 577181955/41998*t^19 - 159660594807/419980*t^17 + 2565337326951/419980*t^15 - 9930055980663/167992*t^13 + 10550934204993/30544*t^11 - 72692461881585/61088*t^9 + 6739282250883/2944*t^7 - 1088702779003749/488704*t^5 + 889027794718245/977408*t^3 - 8514428328315/84992*t
-------------------------------------------------
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:
| (-2.1480247422586550766 - 2.1275701874038679309e-322j)  +/-  (3.12e-123, 3.12e-123j)
| (2.6519613568352334924 + 3.8590185490508022862e-332j)  +/-  (8.16e-123, 8.16e-123j)
| (-3.1870123248377441459 + 9.4234546832864143788e-339j)  +/-  (1.62e-122, 1.62e-122j)
| (-3.7613975271685245493 + 5.9823128365156788928e-342j)  +/-  (1.9e-122, 1.9e-122j)
| (6.6411152540752237942 - 7.41533467568389275e-348j)  +/-  (7.17e-124, 7.17e-124j)
| (2.1480247422586550766 + 1.3757021960040210665e-360j)  +/-  (3.84e-123, 3.84e-123j)
| (-6.6411152540752237942 - 1.1198019968270370326e-371j)  +/-  (7.4e-124, 7.4e-124j)
| (3.7613975271685245493 + 3.2368616210170202528e-370j)  +/-  (2.15e-122, 2.15e-122j)
| (4.3946433640586605697 + 9.3098223727546473448e-381j)  +/-  (1.44e-122, 1.44e-122j)
| (-5.1394144306557208795 - 4.1885121064055575843e-385j)  +/-  (6.81e-123, 6.81e-123j)
| (1.2307710492099463161 + 1.2782324543473991651e-389j)  +/-  (2.03e-124, 2.03e-124j)
| (-9.0310100860558897286e-388 + 5.952256647627745503e-388j)  +/-  (2.49e-386, 2.49e-386j)
| (-2.6519613568352334924 - 2.0525022922854294838e-387j)  +/-  (7.83e-123, 7.83e-123j)
| (-1.2307710492099463161 - 4.1691452812047786389e-390j)  +/-  (1.85e-124, 1.85e-124j)
| (-4.3946433640586605697 - 3.9057102771726085601e-389j)  +/-  (1.55e-122, 1.55e-122j)
| (0.81628788285896466304 - 9.7356414533628072612e-391j)  +/-  (2.44e-125, 2.44e-125j)
| (3.1870123248377441459 + 4.854398426883568878e-393j)  +/-  (1.73e-122, 1.73e-122j)
| (-0.4109568706877101665 + 1.0091542056103870767e-404j)  +/-  (2.51e-126, 2.51e-126j)
| (-0.81628788285896466304 + 1.3724497196301264244e-402j)  +/-  (2.44e-125, 2.44e-125j)
| (-1.673551628767471445 - 1.2813836441158450946e-399j)  +/-  (9.24e-124, 9.24e-124j)
| (1.673551628767471445 + 1.8484059070297505331e-400j)  +/-  (9.38e-124, 9.38e-124j)
| (0.4109568706877101665 + 9.5569866135843817711e-408j)  +/-  (2.51e-126, 2.51e-126j)
| (5.1394144306557208795 + 3.7631876603178418034e-407j)  +/-  (6.61e-123, 6.61e-123j)
-------------------------------------------------
The weights are:
| (0.0027367613267684886502 - 1.6936159884370062081e-324j)  +/-  (8.07e-43, 4.39e-103j)
| (0.00025824112391977786834 + 2.6221005772814364279e-326j)  +/-  (1.44e-45, 7.85e-106j)
| (1.2098830641565390763e-05 + 1.9295264371563820328e-326j)  +/-  (6.18e-47, 3.36e-107j)
| (2.4237307218511324976e-07 - 1.3525183834611608188e-327j)  +/-  (1.15e-48, 6.28e-109j)
| (7.2607741122400220458e-19 - 5.0432912296447189604e-334j)  +/-  (1.96e-55, 1.07e-115j)
| (0.0027367613267684886502 - 1.3553502644526434136e-325j)  +/-  (1.93e-45, 1.05e-105j)
| (7.2607741122400220458e-19 + 9.8654128015046685983e-334j)  +/-  (1.44e-55, 7.83e-116j)
| (2.4237307218511324976e-07 + 3.6926052198583051371e-328j)  +/-  (1.54e-50, 8.39e-111j)
| (1.5599401632730995707e-09 - 2.1515547767163577395e-329j)  +/-  (5.74e-52, 3.12e-112j)
| (1.6083940125257157291e-12 - 1.290096329474765292e-330j)  +/-  (1.15e-53, 6.26e-114j)
| (0.052934251247557575001 - 1.617909342474876433e-324j)  +/-  (1.15e-45, 6.24e-106j)
| (0.23294557411397759294 + 7.9660267372416011092e-324j)  +/-  (1.28e-45, 6.89e-106j)
| (0.00025824112391977786834 - 2.4975455192452887636e-325j)  +/-  (7.44e-49, 4.04e-109j)
| (0.052934251247557575001 - 5.9597310097375151751e-324j)  +/-  (1.87e-46, 1.01e-106j)
| (1.5599401632730995707e-09 + 6.2658204094778701985e-329j)  +/-  (3.04e-52, 1.65e-112j)
| (0.11760800533101336774 + 3.5911080973047191423e-324j)  +/-  (1.53e-46, 8.11e-107j)
| (1.2098830641565390763e-05 - 3.757713366946035198e-327j)  +/-  (7.97e-51, 4.29e-111j)
| (0.19424066112588019747 - 8.8154197671151427716e-324j)  +/-  (1.3e-46, 6.92e-107j)
| (0.11760800533101336774 + 7.993446300524038237e-324j)  +/-  (4.18e-47, 2.21e-107j)
| (0.015736950022609488281 + 4.3273188525334209786e-324j)  +/-  (3.8e-48, 2.05e-108j)
| (0.015736950022609488281 + 5.3726427240342507928e-325j)  +/-  (7.58e-49, 3.86e-109j)
| (0.19424066112588019747 - 5.984014255397153778e-324j)  +/-  (1.23e-47, 5.48e-108j)
| (1.6083940125257157291e-12 + 5.2956611592056139537e-331j)  +/-  (3.47e-55, 1.99e-115j)
