Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 22
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Trying to find an order 22 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
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Ending with final polynomial:
P : 16*t^26 - 102411351735864/45536981123*t^24 + 6046204174401376/45536981123*t^22 - 196688689402839480/45536981123*t^20 + 204731552439352785/2396683217*t^18 - 5128120827284581665/4793366434*t^16 + 20566741687898847210/2396683217*t^14 - 104665211154717152940/2396683217*t^12 + 5254134430833607594275/38346931472*t^10 - 19309118339877159768975/76693862944*t^8 + 2389600191682204526025/9586732868*t^6 - 8884805855948243696475/76693862944*t^4 + 11966600238582800886075/613550903552*t^2 - 666102408269320897875/1227101807104
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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:
| (6.0321960943208882511 - 2.0115457290139554593e-437j)  +/-  (8.34e-123, 8.34e-123j)
| (-6.0321960943208882511 + 2.1040607668283500992e-436j)  +/-  (9.04e-123, 9.04e-123j)
| (5.2780300307185993726 - 5.6472965903475457446e-437j)  +/-  (4.13e-122, 4.13e-122j)
| (-5.2780300307185993726 - 2.0536692638087348909e-437j)  +/-  (4.42e-122, 4.42e-122j)
| (4.0779925466090140355 + 1.174834971132672049e-441j)  +/-  (1.22e-121, 1.22e-121j)
| (3.0456363722311616511 + 4.4208031288168323896e-443j)  +/-  (5.79e-122, 5.79e-122j)
| (-3.5481463735413408748 + 5.3998820973290978893e-444j)  +/-  (1.1e-121, 1.1e-121j)
| (-1.6506801238857845559 - 6.0504859414417279659e-450j)  +/-  (1.64e-123, 1.64e-123j)
| (-2.0989326555754720279 + 7.4315260212475552128e-454j)  +/-  (7.61e-123, 7.61e-123j)
| (-3.0456363722311616511 - 2.6153403023764268024e-466j)  +/-  (5.61e-122, 5.61e-122j)
| (2.5637678854671042858 + 4.7544181884244751043e-473j)  +/-  (2.61e-122, 2.61e-122j)
| (2.0989326555754720279 + 2.9485175298004464282e-473j)  +/-  (7e-123, 7e-123j)
| (3.5481463735413408748 - 6.5620876038150307429e-473j)  +/-  (1.14e-121, 1.14e-121j)
| (4.6469152813857350957 + 3.3511448950769730529e-480j)  +/-  (9.84e-122, 9.84e-122j)
| (-4.0779925466090140355 - 9.3082477357750968686e-481j)  +/-  (1.25e-121, 1.25e-121j)
| (1.2249690721861713863 + 1.7709227263110168371e-491j)  +/-  (3.24e-124, 3.24e-124j)
| (-2.5637678854671042858 - 1.4321308388778523396e-491j)  +/-  (2.45e-122, 2.45e-122j)
| (-4.6469152813857350957 + 2.200864438626825216e-496j)  +/-  (1.08e-121, 1.08e-121j)
| (-0.84457296378371976799 + 9.6810777587636540511e-504j)  +/-  (5.14e-125, 5.14e-125j)
| (-1.2249690721861713863 + 7.1997638100245671252e-503j)  +/-  (2.82e-124, 2.82e-124j)
| (0.18529427712544075151 - 1.5584517815929510053e-505j)  +/-  (7.13e-127, 7.13e-127j)
| (0.84457296378371976799 - 2.1016752400871132233e-504j)  +/-  (5.57e-125, 5.57e-125j)
| (1.6506801238857845559 - 4.7710062766945742617e-503j)  +/-  (1.59e-123, 1.59e-123j)
| (-0.18529427712544075151 + 1.3784976559613564646e-506j)  +/-  (7.13e-127, 7.13e-127j)
| (-0.52464762327529031788 - 5.0230910302496979943e-505j)  +/-  (7.48e-126, 7.48e-126j)
| (0.52464762327529031788 - 5.8228467708153508651e-506j)  +/-  (7.48e-126, 7.48e-126j)
-------------------------------------------------
The weights are:
| (7.6974885608567872779e-17 + 2.7821702865338475782e-451j)  +/-  (1.77e-45, 1.66e-106j)
| (7.6974885608567872779e-17 + 2.060839305384549367e-452j)  +/-  (3.44e-46, 3.22e-107j)
| (3.0412522529206478404e-13 + 9.7806318315037197086e-449j)  +/-  (2.93e-44, 2.74e-105j)
| (3.0412522529206478404e-13 - 3.8719266088776705437e-449j)  +/-  (5.66e-45, 5.29e-106j)
| (1.8490087902749472682e-08 + 6.1612666635134460409e-447j)  +/-  (2.84e-42, 2.66e-103j)
| (2.5962805556986776197e-05 + 2.347723454847006689e-445j)  +/-  (4.95e-40, 4.63e-101j)
| (9.8977727092558853232e-07 + 2.4442744505335239656e-446j)  +/-  (2.39e-42, 2.24e-103j)
| (0.016234121557784612534 + 1.1130529596278703334e-443j)  +/-  (9.91e-37, 9.27e-98j)
| (0.0031467840024541205907 - 3.0604097190331802028e-444j)  +/-  (1.18e-38, 1.11e-99j)
| (2.5962805556986776197e-05 - 1.4857690654771736251e-445j)  +/-  (1.62e-41, 1.51e-102j)
| (0.00037298354379790544151 - 1.0802839243073418022e-444j)  +/-  (5.86e-41, 5.48e-102j)
| (0.0031467840024541205907 + 4.1986237914424233968e-444j)  +/-  (3.43e-40, 3.21e-101j)
| (9.8977727092558853232e-07 - 4.3100119132031944639e-446j)  +/-  (2.98e-43, 2.78e-104j)
| (1.4046384610465720694e-10 - 7.7770322794639973548e-448j)  +/-  (1.25e-45, 1.17e-106j)
| (1.8490087902749472682e-08 - 3.1932980691246966592e-447j)  +/-  (3.73e-46, 3.49e-107j)
| (0.051453387224896739306 + 4.3657947103329161847e-443j)  +/-  (7.58e-41, 7.09e-102j)
| (0.00037298354379790544151 + 7.3501734635274001983e-445j)  +/-  (2.14e-43, 2e-104j)
| (1.4046384610465720694e-10 + 3.4904744487559880905e-448j)  +/-  (2.04e-47, 1.91e-108j)
| (0.095540877122076544827 + 9.736024288364775246e-443j)  +/-  (1.71e-41, 1.6e-102j)
| (0.051453387224896739306 - 3.6332119500779943251e-443j)  +/-  (1.14e-41, 1.06e-102j)
| (0.19874583414326233958 - 2.0183442940165327577e-442j)  +/-  (4.27e-42, 3.97e-103j)
| (0.095540877122076544827 - 1.1048091116823194191e-442j)  +/-  (1.5e-42, 1.4e-103j)
| (0.016234121557784612534 - 1.4265000110404337999e-443j)  +/-  (2.1e-43, 1.99e-104j)
| (0.19874583414326233958 + 1.9632155594576133825e-442j)  +/-  (1.15e-42, 1.11e-103j)
| (0.13447904119204387431 - 1.6637686485104347098e-442j)  +/-  (8.47e-43, 8.37e-104j)
| (0.13447904119204387431 + 1.7995596524564212009e-442j)  +/-  (6.31e-43, 5.46e-104j)
