Starting with polynomial:
P : 64*t^6 - 480*t^4 + 720*t^2 - 120
Extension levels are: 6 16
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Trying to find an order 16 Kronrod extension for:
P1 : 64*t^6 - 480*t^4 + 720*t^2 - 120
Solvable: 1
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Ending with final polynomial:
P : 64*t^22 - 167544224/25259*t^20 + 76903663376/277849*t^18 - 1681300056856/277849*t^16 + 21007071848040/277849*t^14 - 11822388845820/21373*t^12 + 4541750070270/1943*t^10 - 10552207604085/1943*t^8 + 1686288299535/268*t^6 - 46953925305525/15544*t^4 + 12547692947475/31088*t^2 - 263693655225/62176
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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:
| (-1.3358490740136969497 - 3.2585151863364628076e-408j)  +/-  (1.63e-124, 1.63e-124j)
| (-1.8327987541179048675 - 9.0403927425798205943e-409j)  +/-  (8.22e-124, 8.22e-124j)
| (-5.667584318482793517 + 1.3060856724006356751e-411j)  +/-  (1.34e-123, 1.34e-123j)
| (3.4645916823278535461 + 6.0102432859589227629e-416j)  +/-  (1.04e-122, 1.04e-122j)
| (4.0835077585551980976 + 7.5733620419509840488e-430j)  +/-  (1.22e-122, 1.22e-122j)
| (2.8919676401042183222 + 3.1034269355781683526e-437j)  +/-  (7.02e-123, 7.02e-123j)
| (-2.8919676401042183222 + 2.0356443093849222969e-438j)  +/-  (7.2e-123, 7.2e-123j)
| (-4.781328350761378655 + 5.7246373594649372823e-440j)  +/-  (6.02e-123, 6.02e-123j)
| (5.667584318482793517 - 5.0463673247288676745e-442j)  +/-  (1.22e-123, 1.22e-123j)
| (-0.10709234384620962888 + 5.2459521754099387812e-449j)  +/-  (2.74e-127, 2.74e-127j)
| (1.3358490740136969497 - 5.218581990146930405e-448j)  +/-  (1.69e-124, 1.69e-124j)
| (4.781328350761378655 - 2.079269852133652281e-451j)  +/-  (5.53e-123, 5.53e-123j)
| (-3.4645916823278535461 + 1.5912851616914721529e-455j)  +/-  (1.11e-122, 1.11e-122j)
| (-2.3506049736744922228 + 4.7529108144017900231e-458j)  +/-  (3.08e-123, 3.08e-123j)
| (-4.0835077585551980976 - 2.0551692571770868592e-458j)  +/-  (1.1e-122, 1.1e-122j)
| (0.86387158898186512203 + 4.0119280355503936386e-460j)  +/-  (2.28e-125, 2.28e-125j)
| (2.3506049736744922228 - 4.1787113933881659491e-459j)  +/-  (3.04e-123, 3.04e-123j)
| (0.43607741192761650868 - 2.798137158609090824e-465j)  +/-  (2.3e-126, 2.3e-126j)
| (-0.43607741192761650868 + 1.3811153166388373384e-467j)  +/-  (3.01e-126, 3.01e-126j)
| (-0.86387158898186512203 - 5.4094713610518472298e-470j)  +/-  (2.19e-125, 2.19e-125j)
| (1.8327987541179048675 + 5.5229736619310600958e-470j)  +/-  (8.27e-124, 8.27e-124j)
| (0.10709234384620962888 - 1.2163081605755886087e-477j)  +/-  (2.74e-127, 2.74e-127j)
-------------------------------------------------
The weights are:
| (0.046030784417677134771 - 3.3004496413363148755e-409j)  +/-  (1.37e-35, 6.21e-97j)
| (0.0099512889684200836902 - 1.0501636143673957552e-409j)  +/-  (1.19e-38, 5.39e-100j)
| (7.0159799634164587553e-15 - 1.3153405930486843461e-417j)  +/-  (2.39e-49, 1.08e-110j)
| (2.046503838244422061e-06 + 3.1233449264741678359e-413j)  +/-  (8.69e-46, 3.94e-107j)
| (2.1023372687862855947e-08 - 2.2106675248538836457e-414j)  +/-  (2.03e-47, 9.22e-109j)
| (7.3063547573155595834e-05 - 2.8536309519950715811e-412j)  +/-  (7.69e-45, 3.49e-106j)
| (7.3063547573155595834e-05 - 6.4831990390844614398e-412j)  +/-  (1.34e-45, 6.1e-107j)
| (5.0480560114371132127e-11 + 1.343027020865044683e-415j)  +/-  (1.26e-49, 5.7e-111j)
| (7.0159799634164587553e-15 - 8.6225384256600432033e-418j)  +/-  (1.56e-51, 7.05e-113j)
| (0.13802972841096064994 + 2.6840166129952333287e-408j)  +/-  (5.71e-42, 2.59e-103j)
| (0.046030784417677134771 + 4.5386904991762700787e-410j)  +/-  (6.45e-43, 2.92e-104j)
| (5.0480560114371132127e-11 + 8.1346836147831782228e-416j)  +/-  (1.21e-49, 5.47e-111j)
| (2.046503838244422061e-06 + 6.2406546553506031371e-413j)  +/-  (4.05e-48, 1.84e-109j)
| (0.0011885862908873445945 + 4.7892759225992086591e-411j)  +/-  (3.59e-46, 1.62e-107j)
| (2.1023372687862855947e-08 - 3.9789533494178455543e-414j)  +/-  (2.44e-49, 1.11e-110j)
| (0.12173239414340875558 - 1.8933077023960728404e-409j)  +/-  (9.44e-45, 4.64e-106j)
| (0.0011885862908873445945 + 1.9005782447807792701e-411j)  +/-  (1.15e-47, 4.86e-109j)
| (0.18299208664337436745 + 7.6474524615039582921e-409j)  +/-  (8.82e-45, 4.47e-106j)
| (0.18299208664337436745 - 1.5629064183602976049e-408j)  +/-  (5.41e-45, 2.67e-106j)
| (0.12173239414340875558 + 9.6326436710655191855e-409j)  +/-  (1.69e-45, 8.05e-107j)
| (0.0099512889684200836902 - 1.00428503274712878e-410j)  +/-  (4.6e-47, 1.78e-108j)
| (0.13802972841096064994 - 2.2659156017613563467e-408j)  +/-  (7.72e-45, 4.17e-106j)
