Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 5 16
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Trying to find an order 5 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
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Trying to find an order 16 Kronrod extension for:
P2 : t^7 - 53/3*t^5 + 215/3*t^3 - 55*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^23 - 95280890755795/454088400077*t^21 + 73610338759101533/4086795600693*t^19 - 50596907879744273137/61301934010395*t^17 + 1355961124027817544622/61301934010395*t^15 - 112431828650153050934/314368892361*t^13 + 1094239341459686688994/314368892361*t^11 - 6224775940481682820390/314368892361*t^9 + 2167197645791877595589/34929876929*t^7 - 3377729383397684509579/34929876929*t^5 + 2188577584705176879445/34929876929*t^3 - 396238218708225835095/34929876929*t
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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:
| (-2.7902619589855185383 - 1.5894278980576481634e-348j)  +/-  (2.89e-123, 2.89e-123j)
| (4.2086183466756630099 + 1.9549303459264692699e-354j)  +/-  (1.9e-122, 1.9e-122j)
| (-6.706997295345403723 + 9.656666692700592804e-365j)  +/-  (1.68e-122, 1.68e-122j)
| (-7.7950882849124997841 - 4.1223942659806575825e-379j)  +/-  (3.56e-123, 3.56e-123j)
| (-4.9739940177512757414 - 8.0044444106879123924e-394j)  +/-  (3.07e-122, 3.07e-122j)
| (7.7950882849124997841 - 9.5739436087101561054e-403j)  +/-  (3.62e-123, 3.62e-123j)
| (4.9739940177512757414 - 1.7797573783590671696e-401j)  +/-  (3.35e-122, 3.35e-122j)
| (-2.1290252659381178426 + 9.3590914229995575665e-406j)  +/-  (8.76e-124, 8.76e-124j)
| (5.7957858042188564775 + 1.3411571651079953629e-406j)  +/-  (2.67e-122, 2.67e-122j)
| (3.4833773961004847262 - 7.2223796965445379913e-408j)  +/-  (9.72e-123, 9.72e-123j)
| (0.53516602910596062058 + 2.8678100260845155474e-410j)  +/-  (2.92e-126, 2.92e-126j)
| (-0.53516602910596062058 + 4.2782273636505632475e-416j)  +/-  (2.92e-126, 2.92e-126j)
| (-4.2086183466756630099 - 1.171885212678068714e-425j)  +/-  (2.12e-122, 2.12e-122j)
| (-1.5162069879627057686 - 1.4766042663987276978e-433j)  +/-  (1.43e-124, 1.43e-124j)
| (2.7902619589855185383 - 1.9640120746812990318e-432j)  +/-  (3.31e-123, 3.31e-123j)
| (2.1290252659381178426 + 8.2287835413057494197e-440j)  +/-  (8.54e-124, 8.54e-124j)
| (6.706997295345403723 - 4.5710282224587906838e-443j)  +/-  (1.55e-122, 1.55e-122j)
| (-5.7957858042188564775 - 2.3582506223315526005e-451j)  +/-  (2.81e-122, 2.81e-122j)
| (-1 + 1.0939323552209296253e-463j)  +/-  (2.72e-125, 2.72e-125j)
| (-3.4833773961004847262 + 2.1676067038636938872e-464j)  +/-  (1.02e-122, 1.02e-122j)
| (1.5162069879627057686 - 1.0489906796682572056e-472j)  +/-  (1.43e-124, 1.43e-124j)
| (1 + 1.0450404562230136561e-474j)  +/-  (2.56e-125, 2.56e-125j)
| (7.8857072507660409871e-476 + 2.8079013668615529122e-475j)  +/-  (6.71e-474, 6.71e-474j)
-------------------------------------------------
The weights are:
| (0.0055146227228887613374 - 1.9200640496809113259e-350j)  +/-  (4.11e-39, 3.76e-100j)
| (4.2259075059437646921e-05 - 4.3345853087561797066e-353j)  +/-  (1.28e-43, 1.17e-104j)
| (6.6405801434057462712e-11 - 3.1802268832006312697e-356j)  +/-  (6.24e-48, 5.72e-109j)
| (3.1848227015347422834e-14 + 3.7263580671429299515e-358j)  +/-  (1.65e-49, 1.51e-110j)
| (1.3370656396688397948e-06 - 1.6725655581154247784e-353j)  +/-  (1.25e-45, 1.15e-106j)
| (3.1848227015347422834e-14 - 1.7618464814576071904e-358j)  +/-  (2.35e-51, 2.16e-112j)
| (1.3370656396688397948e-06 + 4.7041534787915090444e-354j)  +/-  (2.32e-47, 2.13e-108j)
| (0.026565674490041034021 + 5.276400383094952616e-350j)  +/-  (8.79e-42, 8.05e-103j)
| (1.7399550342534649381e-08 - 3.3637882067586409439e-355j)  +/-  (7.08e-49, 6.48e-110j)
| (0.00065515462972785659804 + 2.9314065909274009371e-352j)  +/-  (9.17e-46, 8.4e-107j)
| (0.17222265519802409395 - 1.1651605955618845137e-349j)  +/-  (8.56e-42, 7.84e-103j)
| (0.17222265519802409395 - 1.7181784376353053738e-349j)  +/-  (5.63e-42, 5.15e-103j)
| (4.2259075059437646921e-05 + 2.1388904257190484536e-352j)  +/-  (3.8e-47, 3.48e-108j)
| (0.072553025159077959388 - 9.2527084592579790636e-350j)  +/-  (2.66e-42, 2.44e-103j)
| (0.0055146227228887613374 - 1.5706598023977225687e-351j)  +/-  (2.73e-45, 2.5e-106j)
| (0.026565674490041034021 + 7.0923927173551940276e-351j)  +/-  (1.2e-44, 1.1e-105j)
| (6.6405801434057462712e-11 + 1.3115463103908030157e-356j)  +/-  (9.32e-51, 8.54e-112j)
| (1.7399550342534649381e-08 + 9.6095349363736071729e-355j)  +/-  (6.29e-50, 5.76e-111j)
| (0.11180227650558846757 + 1.532269957575082427e-349j)  +/-  (4.37e-44, 4.02e-105j)
| (0.00065515462972785659804 - 2.6533161716626693487e-351j)  +/-  (5.77e-47, 5.31e-108j)
| (0.072553025159077959388 - 2.7373850301546654274e-350j)  +/-  (3.17e-45, 2.83e-106j)
| (0.11180227650558846757 + 7.2374027740020765291e-350j)  +/-  (8.24e-45, 7.06e-106j)
| (0.22128595537592945689 + 1.4574976620808809829e-349j)  +/-  (8.02e-45, 9.05e-106j)
