Starting with polynomial:
P : 32*t^6 - 48*t^4 + 18*t^2 - 1
Extension levels are: 6 12
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Trying to find an order 12 Kronrod extension for:
P1 : 32*t^6 - 48*t^4 + 18*t^2 - 1
Solvable: 1
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Ending with final polynomial:
P : 32*t^18 - 144*t^16 + 270*t^14 - 273*t^12 + 1287/8*t^10 - 891/16*t^8 + 693/64*t^6 - 135/128*t^4 + 81/2048*t^2 - 1/4096
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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
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The nodes are:
| (0.9961946980917455323 - 5.5149418820915525452e-259j)  +/-  (1.29e-122, 1.29e-122j)
| (0.087155742747658173558 + 1.5868495312375657877e-258j)  +/-  (1.66e-127, 1.66e-127j)
| (-0.96592582628906828675 - 3.6805492919264715493e-268j)  +/-  (2.41e-122, 2.41e-122j)
| (-0.81915204428899178968 - 7.7701050128407259315e-294j)  +/-  (9.09e-123, 9.09e-123j)
| (0.90630778703664996324 + 4.8590050385151010203e-305j)  +/-  (2.11e-122, 2.11e-122j)
| (0.96592582628906828675 - 3.5953059566156247446e-308j)  +/-  (3.07e-122, 3.07e-122j)
| (-0.9961946980917455323 + 8.494648203790026032e-323j)  +/-  (1.34e-122, 1.34e-122j)
| (-0.90630778703664996324 - 4.943689484806048412e-347j)  +/-  (1.67e-122, 1.67e-122j)
| (-0.7071067811865475244 - 8.3208508779913705657e-363j)  +/-  (1.99e-123, 1.99e-123j)
| (0.25881904510252076235 + 4.228504969869194094e-373j)  +/-  (2.34e-126, 2.34e-126j)
| (0.81915204428899178968 + 8.3329841105276106305e-371j)  +/-  (8.29e-123, 8.29e-123j)
| (0.42261826174069943619 + 4.1323029354830270067e-373j)  +/-  (3.44e-125, 3.44e-125j)
| (-0.57357643635104609611 + 1.2391771153567117351e-370j)  +/-  (2.97e-124, 2.97e-124j)
| (-0.42261826174069943619 + 1.5571575941192594903e-375j)  +/-  (3.11e-125, 3.11e-125j)
| (-0.087155742747658173558 - 5.6320120945878345463e-380j)  +/-  (1.66e-127, 1.66e-127j)
| (0.57357643635104609611 + 3.2818238398507728839e-381j)  +/-  (2.65e-124, 2.65e-124j)
| (0.7071067811865475244 - 2.3299921200900893739e-380j)  +/-  (2.04e-123, 2.04e-123j)
| (-0.25881904510252076235 - 1.7897733816472705787e-379j)  +/-  (2.39e-126, 2.39e-126j)
-------------------------------------------------
The weights are:
| (0.055555555555555555556 + 2.0175341754868807437e-258j)  +/-  (1.56e-43, 8.85e-104j)
| (0.055555555555555555556 + 3.8137131222428279814e-259j)  +/-  (8.8e-44, 4.99e-104j)
| (0.055555555555555555556 + 2.4620929518900911711e-260j)  +/-  (2.07e-44, 1.17e-104j)
| (0.055555555555555555556 + 5.5065877008903088091e-260j)  +/-  (2.23e-44, 1.26e-104j)
| (0.055555555555555555556 + 1.6984714547388687548e-258j)  +/-  (7.11e-45, 4.02e-105j)
| (0.055555555555555555556 - 3.0319493641976004049e-258j)  +/-  (1.2e-44, 6.81e-105j)
| (0.055555555555555555556 - 8.2583566939586922676e-261j)  +/-  (1.96e-45, 1.11e-105j)
| (0.055555555555555555556 - 4.0444307484128553992e-260j)  +/-  (3.6e-45, 2.04e-105j)
| (0.055555555555555555556 - 6.7152816358748203388e-260j)  +/-  (4.69e-46, 2.66e-106j)
| (0.055555555555555555556 - 9.5844717810482962568e-259j)  +/-  (4.79e-47, 2.72e-107j)
| (0.055555555555555555556 - 1.2082433970156410321e-258j)  +/-  (1.58e-47, 8.94e-108j)
| (0.055555555555555555556 + 7.9454929233638889814e-259j)  +/-  (2.12e-47, 1.2e-107j)
| (0.055555555555555555556 + 7.3729776275411670345e-260j)  +/-  (1.66e-47, 9.38e-108j)
| (0.055555555555555555556 - 6.7223142585337807353e-260j)  +/-  (5.04e-48, 2.86e-108j)
| (0.055555555555555555556 + 1.8249475508985498136e-259j)  +/-  (1.6e-48, 9.14e-109j)
| (0.055555555555555555556 - 8.3040815150929311475e-259j)  +/-  (3.74e-49, 2.15e-109j)
| (0.055555555555555555556 + 9.6079561541814926606e-259j)  +/-  (2.92e-49, 1.68e-109j)
| (0.055555555555555555556 + 2.3493525851896322061e-260j)  +/-  (3.98e-49, 2.18e-109j)
