Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 19
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Trying to find an order 19 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^21 - 2152732306/5691719*t^19 + 81863797518/5691719*t^17 - 95597718606/334807*t^15 + 2153647313685/669614*t^13 - 28046530417815/1339228*t^11 + 2343350285640/30437*t^9 - 36312417999585/243496*t^7 + 256397116293045/1947968*t^5 - 146126492878275/3895936*t^3 + 1105095147975/3895936*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: 1
  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:
| (4.5989551244411466735 - 6.2125278355553141246e-477j)  +/-  (5.67e-123, 5.67e-123j)
| (-5.3834421078669091109 + 1.4450406678435940849e-480j)  +/-  (1.1e-123, 1.1e-123j)
| (-4.5989551244411466735 - 2.7062603919044594439e-488j)  +/-  (5.34e-123, 5.34e-123j)
| (2.7809925703510622979 + 1.1540095469542284248e-489j)  +/-  (4.84e-123, 4.84e-123j)
| (3.9392456365602758418 + 3.3481332006074182603e-490j)  +/-  (1.03e-122, 1.03e-122j)
| (5.3834421078669091109 - 5.0499168126830179803e-494j)  +/-  (1.28e-123, 1.28e-123j)
| (3.341349764327484721 - 7.061805768329292042e-497j)  +/-  (9.58e-123, 9.58e-123j)
| (-3.9392456365602758418 - 1.637155595044346013e-502j)  +/-  (9.85e-123, 9.85e-123j)
| (-2.7809925703510622979 + 5.039730819420001733e-520j)  +/-  (5.07e-123, 5.07e-123j)
| (-3.5456029997325346585e-527 - 1.9944016873495507454e-527j)  +/-  (8.54e-526, 8.54e-526j)
| (1.2162733654893050819 - 4.4627815534827910198e-529j)  +/-  (6.97e-125, 6.97e-125j)
| (0.088163180494384317275 + 1.3080566622277146092e-528j)  +/-  (2.75e-127, 2.75e-127j)
| (-1.2162733654893050819 + 2.1852240710157114649e-528j)  +/-  (6.32e-125, 6.32e-125j)
| (-0.7071067811865475244 + 4.7432833641500737999e-533j)  +/-  (6.45e-126, 6.45e-126j)
| (-3.341349764327484721 + 8.7998674920356533334e-537j)  +/-  (9.08e-123, 9.08e-123j)
| (0.7071067811865475244 + 1.2204620783691548928e-539j)  +/-  (6.76e-126, 6.76e-126j)
| (2.2453006501011066823 - 1.2271802182500860206e-538j)  +/-  (1.92e-123, 1.92e-123j)
| (-2.2453006501011066823 + 1.1000954055024721855e-539j)  +/-  (1.68e-123, 1.68e-123j)
| (-0.088163180494384317275 - 1.8793624544841106759e-545j)  +/-  (2.75e-127, 2.75e-127j)
| (-1.7259648010406998015 - 6.4786749340034069845e-543j)  +/-  (4.49e-124, 4.49e-124j)
| (1.7259648010406998015 + 4.9751849704161184438e-543j)  +/-  (4.32e-124, 4.32e-124j)
-------------------------------------------------
The weights are:
| (2.5950907450374397851e-10 + 7.7650668711645491628e-486j)  +/-  (8.44e-51, 1.06e-111j)
| (1.3147102237142694367e-13 - 3.1043406821771211066e-489j)  +/-  (1.59e-52, 2.01e-113j)
| (2.5950907450374397851e-10 + 1.7526714860804447781e-487j)  +/-  (3.23e-51, 4.07e-112j)
| (0.00013493500862923370587 - 1.0576033218614156204e-483j)  +/-  (6.07e-48, 7.66e-109j)
| (6.408934850090087545e-08 - 4.4837308878886058764e-485j)  +/-  (1.53e-50, 1.93e-111j)
| (1.3147102237142694367e-13 + 3.951542619026347621e-488j)  +/-  (1.28e-53, 1.62e-114j)
| (4.6068524093892681267e-06 + 2.351044873201494297e-484j)  +/-  (1.44e-49, 1.81e-110j)
| (6.408934850090087545e-08 - 3.4642590394341765451e-486j)  +/-  (1.13e-52, 1.43e-113j)
| (0.00013493500862923370587 - 2.6052385790777159713e-484j)  +/-  (1.86e-51, 2.35e-112j)
| (-2.274843154936909437 - 3.1067933860343431719e-480j)  +/-  (1.47e-46, 1.83e-107j)
| (0.065194887636542851573 + 2.8585077011099498605e-482j)  +/-  (4.59e-48, 5.77e-109j)
| (1.3790619363933330986 + 1.6286160932483015739e-480j)  +/-  (1.19e-46, 1.48e-107j)
| (0.065194887636542851573 + 1.66276691481449135e-482j)  +/-  (1.22e-48, 1.55e-109j)
| (0.17637749995028066865 - 5.1637867494455029627e-482j)  +/-  (4.88e-48, 6.04e-109j)
| (4.6068524093892681267e-06 + 3.7235582654179057136e-485j)  +/-  (2.84e-52, 3.57e-113j)
| (0.17637749995028066865 - 7.040216621023388046e-482j)  +/-  (2.74e-48, 3.36e-109j)
| (0.0019197818859071489716 + 3.8167099989593601829e-483j)  +/-  (1.01e-50, 1.25e-111j)
| (0.0019197818859071489716 + 1.3125040578241229343e-483j)  +/-  (4.04e-51, 5.12e-112j)
| (1.3790619363933330986 + 1.5673480249688287003e-480j)  +/-  (1.44e-47, 1.81e-108j)
| (0.014727865392363281311 - 5.1183503729406141444e-483j)  +/-  (1.8e-50, 2.3e-111j)
| (0.014727865392363281311 - 1.1268196388577575003e-482j)  +/-  (1.54e-50, 1.76e-111j)
