Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 5 8
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Trying to find an order 5 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
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Trying to find an order 8 Kronrod extension for:
P2 : 16*t^9 - 168*t^7 + 432*t^5 - 270*t^3 + 45*t
Solvable: 1
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Ending with final polynomial:
P : 16*t^17 - 7832664/11003*t^15 + 652667928/55015*t^13 - 5229229734/55015*t^11 + 107801282178/275075*t^9 - 454972876533/550150*t^7 + 461002317867/550150*t^5 - 157900293621/440120*t^3 + 44369803107/880240*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
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The nodes are:
| (-1.6506801238857845559 + 6.2910606365786968469e-467j)  +/-  (2.57e-124, 2.57e-124j)
| (-3.3216152725800202064 - 4.2261495008217556483e-472j)  +/-  (4.7e-124, 4.7e-124j)
| (-2.6384291054842239697 - 1.1607466280333191173e-476j)  +/-  (6.43e-124, 6.43e-124j)
| (4.1544036857737054549 + 4.0303702362268024905e-479j)  +/-  (1.35e-124, 1.35e-124j)
| (3.3216152725800202064 + 2.9939893183399104215e-478j)  +/-  (4.61e-124, 4.61e-124j)
| (2.6384291054842239697 + 3.2530845478116334388e-478j)  +/-  (6.88e-124, 6.88e-124j)
| (1.6506801238857845559 - 1.1942802516110686461e-484j)  +/-  (2.84e-124, 2.84e-124j)
| (-0.73395630342256598469 + 8.1821436964990671074e-494j)  +/-  (1.83e-125, 1.83e-125j)
| (-1.16343090596824255 + 9.2076583498658172481e-498j)  +/-  (6.84e-125, 6.84e-125j)
| (-7.1439516874662371475e-503 - 3.0480860533189278496e-502j)  +/-  (5.32e-501, 5.32e-501j)
| (2.084674834989165342 + 4.7440304174580481058e-505j)  +/-  (5.22e-124, 5.22e-124j)
| (-4.1544036857737054549 + 4.360322074869529509e-507j)  +/-  (1.32e-124, 1.32e-124j)
| (-2.084674834989165342 - 4.0450036216197259811e-518j)  +/-  (5.27e-124, 5.27e-124j)
| (-0.52464762327529031788 + 2.4622243053698157351e-527j)  +/-  (5.05e-126, 5.05e-126j)
| (1.16343090596824255 - 1.457737778447705849e-531j)  +/-  (6.84e-125, 6.84e-125j)
| (0.52464762327529031788 - 9.3926403250496510889e-535j)  +/-  (5.05e-126, 5.05e-126j)
| (0.73395630342256598469 - 3.3754801168147183601e-535j)  +/-  (1.89e-125, 1.89e-125j)
-------------------------------------------------
The weights are:
| (0.01624012654383245988 + 2.7934281216908421548e-468j)  +/-  (3.36e-46, 8.36e-108j)
| (6.7800054165279309254e-06 + 5.9736781785301154272e-472j)  +/-  (2.19e-51, 5.43e-113j)
| (0.00033409473641363794051 - 2.2034889233856159332e-470j)  +/-  (9.16e-50, 2.27e-111j)
| (1.7257211497250684825e-08 + 3.1129990410346348075e-474j)  +/-  (2.7e-54, 6.69e-116j)
| (6.7800054165279309254e-06 - 2.0074988943307242489e-472j)  +/-  (5.35e-53, 1.33e-114j)
| (0.00033409473641363794051 + 5.0744976415893399592e-471j)  +/-  (5.05e-52, 1.25e-113j)
| (0.01624012654383245988 + 3.0947187786503705818e-469j)  +/-  (1.7e-50, 4.22e-112j)
| (0.066175171960040554466 + 1.7048256892837139819e-467j)  +/-  (4.7e-49, 1.17e-110j)
| (0.075790688286665234334 - 8.2575265021912160082e-468j)  +/-  (1.8e-49, 4.48e-111j)
| (0.31249158255138975188 + 6.5194429789055456389e-468j)  +/-  (1.34e-49, 3.32e-111j)
| (0.0034720934657563079831 - 6.150221814163890058e-470j)  +/-  (2.11e-51, 5.24e-113j)
| (1.7257211497250684825e-08 - 7.2177840561488368713e-474j)  +/-  (4.28e-56, 1.06e-117j)
| (0.0034720934657563079831 + 5.2934269173612344891e-469j)  +/-  (1.02e-51, 2.53e-113j)
| (0.18173523646896890428 - 1.5806431781008825757e-467j)  +/-  (1.26e-49, 3.12e-111j)
| (0.075790688286665234334 - 1.4297509679896443953e-468j)  +/-  (7.77e-51, 1.93e-112j)
| (0.18173523646896890428 - 8.1820149876745715674e-468j)  +/-  (1.25e-50, 3.14e-112j)
| (0.066175171960040554466 + 6.5538517724200705038e-468j)  +/-  (7.69e-51, 1.87e-112j)
