Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 3 4 14
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Trying to find an order 3 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P2 : t^5 - 7*t^3 + 6*t
Solvable: 1
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P3 : t^9 - 71/3*t^7 + 1399/9*t^5 - 2965/9*t^3 + 590/3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^23 - 169625390220735424001363/927751683075826261334*t^21 + 62890330448819181324966253/4638758415379131306670*t^19 - 133315719513259180037270755649/250492954430473090560180*t^17 + 3039062481038901597402449119997/250492954430473090560180*t^15 - 2774845170323086267554658180579/16699530295364872704012*t^13 + 2082238692711273394162593945307/1518139117760442973092*t^11 - 10149207587812731381384163286473/1518139117760442973092*t^9 + 3096125185255355834767730775959/168682124195604774788*t^7 - 4374253038620181155772559235737/168682124195604774788*t^5 + 2660648657524539749820890878195/168682124195604774788*t^3 - 230060587953399507869373472755/84341062097802387394*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:
| (-1.9818090423742489116 - 3.8583932633164661389e-445j)  +/-  (1.29e-123, 1.29e-123j)
| (4.5668135780842791997 + 5.3873647992688153919e-448j)  +/-  (1.76e-122, 1.76e-122j)
| (-6.3318067167291333886 - 6.1431454228008709064e-451j)  +/-  (9.32e-123, 9.32e-123j)
| (6.3318067167291333886 + 6.9814798530063378343e-453j)  +/-  (9.47e-123, 9.47e-123j)
| (-4.5668135780842791997 - 6.4482980416999714554e-452j)  +/-  (1.72e-122, 1.72e-122j)
| (-3.0765868983794377539 + 1.4369828414420214144e-455j)  +/-  (6.9e-123, 6.9e-123j)
| (2.4494897427831780982 - 2.363179120009828559e-458j)  +/-  (3.61e-123, 3.61e-123j)
| (7.4403442133692789922 + 9.6276176262730889708e-464j)  +/-  (1.91e-123, 1.91e-123j)
| (-3.7932353000477464006 - 7.8626388031504316819e-465j)  +/-  (1.27e-122, 1.27e-122j)
| (1.5938620974527764159e-470 - 5.1921265295810140822e-471j)  +/-  (3.86e-469, 3.86e-469j)
| (3.0765868983794377539 - 2.433809310741100351e-472j)  +/-  (6.94e-123, 6.94e-123j)
| (-0.52545149308926870124 + 2.0054813851586731037e-486j)  +/-  (3.44e-126, 3.44e-126j)
| (5.4030454193414575158 - 1.3024518422167608408e-482j)  +/-  (1.87e-122, 1.87e-122j)
| (-1 - 9.3303144657114737979e-487j)  +/-  (3.08e-125, 3.08e-125j)
| (1.5093152835436173382 - 4.1054724211553719118e-488j)  +/-  (3.06e-124, 3.06e-124j)
| (1 + 6.0534771924178698087e-489j)  +/-  (3.33e-125, 3.33e-125j)
| (-7.4403442133692789922 - 2.1113858165941912689e-488j)  +/-  (1.94e-123, 1.94e-123j)
| (-5.4030454193414575158 - 1.5550524109519122997e-487j)  +/-  (1.73e-122, 1.73e-122j)
| (-1.5093152835436173382 + 5.205152533964846531e-489j)  +/-  (2.92e-124, 2.92e-124j)
| (-2.4494897427831780982 + 1.9560437274443082304e-493j)  +/-  (3.33e-123, 3.33e-123j)
| (1.9818090423742489116 + 1.4533274302224647987e-498j)  +/-  (1.26e-123, 1.26e-123j)
| (0.52545149308926870124 - 2.6194489520709536208e-501j)  +/-  (3.01e-126, 3.01e-126j)
| (3.7932353000477464006 + 2.1446766455494332969e-508j)  +/-  (1.29e-122, 1.29e-122j)
-------------------------------------------------
The weights are:
| (0.023771995025648590178 - 1.8477183114665213248e-446j)  +/-  (9.61e-40, 2.16e-100j)
| (9.4706031417975898467e-06 - 5.8747695704248376864e-451j)  +/-  (3.91e-48, 8.82e-109j)
| (7.8125013634067375063e-10 + 1.9016861002817408672e-453j)  +/-  (1.66e-51, 3.74e-112j)
| (7.8125013634067375063e-10 - 9.8917678304366193852e-454j)  +/-  (1.36e-51, 3.06e-112j)
| (9.4706031417975898467e-06 + 1.4455984663637282096e-450j)  +/-  (1.06e-48, 2.38e-109j)
| (0.0023981864907877101639 + 3.508506882449869187e-448j)  +/-  (1.42e-45, 3.19e-106j)
| (0.010958230703302519533 + 6.1503872575092063586e-448j)  +/-  (4.01e-45, 9.03e-106j)
| (4.8362999549695387722e-13 + 1.1074255307025088184e-455j)  +/-  (7.91e-54, 1.78e-114j)
| (0.00022350105910652071314 - 2.3346430294208621133e-449j)  +/-  (7.96e-48, 1.79e-108j)
| (0.21725639464866904891 - 2.2459004662544531997e-446j)  +/-  (1.09e-42, 2.45e-103j)
| (0.0023981864907877101639 - 7.6300585105345485019e-449j)  +/-  (2.51e-47, 5.64e-108j)
| (0.17115820687499899647 + 2.9442300740083711423e-446j)  +/-  (7.04e-43, 1.59e-103j)
| (1.5985879964095153047e-07 + 3.1140782925958946053e-452j)  +/-  (7.97e-51, 1.8e-111j)
| (0.11661121479013565043 - 3.3851930082042214841e-446j)  +/-  (3.02e-43, 6.83e-104j)
| (0.066240836488010283172 + 5.5678485510576176894e-447j)  +/-  (4.14e-45, 9.36e-106j)
| (0.11661121479013565043 - 1.1156330434504876076e-446j)  +/-  (5.32e-44, 1.2e-104j)
| (4.8362999549695387722e-13 - 1.918965360179514574e-455j)  +/-  (8.29e-55, 1.87e-115j)
| (1.5985879964095153047e-07 - 6.8006649076133508327e-452j)  +/-  (1.85e-51, 4.17e-112j)
| (0.066240836488010283172 + 4.1079621298662971073e-446j)  +/-  (8.73e-46, 1.98e-106j)
| (0.010958230703302519533 - 5.8103956411555132831e-447j)  +/-  (5.11e-47, 1.15e-107j)
| (0.023771995025648590178 - 2.3189333891512364695e-447j)  +/-  (2.9e-47, 6.74e-108j)
| (0.17115820687499899647 + 1.7109542424462877184e-446j)  +/-  (2.42e-46, 6.88e-107j)
| (0.00022350105910652071314 + 7.3997511629650826225e-450j)  +/-  (6.77e-50, 1.47e-110j)
