Starting with polynomial:
P : t
Extension levels are: 1 2 6 10
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
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Trying to find an order 6 Kronrod extension for:
P2 : t^3 - 3/4*t
Solvable: 1
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P3 : t^9 - 9/4*t^7 + 27/16*t^5 - 15/32*t^3 + 9/256*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^19 - 5*t^17 + 169/16*t^15 - 49/4*t^13 + 2171/256*t^11 - 913/256*t^9 + 1815/2048*t^7 - 123/1024*t^5 + 489/65536*t^3 - 9/65536*t
-------------------------------------------------
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
Positive weights:   19 out of 19
Indefinite weights: 0 out of 19
Negative weights:   0 out of 19
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (1 - 5.2096698218282335825e-298j)  +/-  (1.24e-121, 1.24e-121j)
| (-0.34202014332566873304 + 4.6816319938592223925e-309j)  +/-  (1.4e-125, 1.4e-125j)
| (-0.93969262078590838405 + 1.3277456769847007264e-327j)  +/-  (1.06e-121, 1.06e-121j)
| (-0.17364817766693034885 + 2.7526590355694669105e-339j)  +/-  (5.76e-127, 5.76e-127j)
| (0.93969262078590838405 - 9.0178387860835273e-344j)  +/-  (1.25e-121, 1.25e-121j)
| (0.34202014332566873304 - 3.3221236577185534696e-351j)  +/-  (1.2e-125, 1.2e-125j)
| (-1 - 4.6437404767670255215e-356j)  +/-  (1.06e-121, 1.06e-121j)
| (-0.98480775301220805937 + 4.3349616768751842468e-371j)  +/-  (1.99e-121, 1.99e-121j)
| (0.7660444431189780352 - 1.3456596812938407718e-376j)  +/-  (8.84e-123, 8.84e-123j)
| (0.17364817766693034885 - 2.2036557858973973557e-381j)  +/-  (5.76e-127, 5.76e-127j)
| (0.86602540378443864676 + 6.9736349778689501062e-376j)  +/-  (3.84e-122, 3.84e-122j)
| (0.98480775301220805937 + 1.100359512898352588e-376j)  +/-  (1.9e-121, 1.9e-121j)
| (-0.64278760968653932632 + 3.6672189716576763357e-377j)  +/-  (1.56e-123, 1.56e-123j)
| (-0.86602540378443864676 - 5.7649875957838842483e-380j)  +/-  (3.93e-122, 3.93e-122j)
| (-0.5 + 9.490770599527825933e-386j)  +/-  (1.35e-124, 1.35e-124j)
| (0.5 - 1.6522672087137276059e-389j)  +/-  (1.94e-124, 1.94e-124j)
| (0.64278760968653932632 - 1.1992019531377481415e-389j)  +/-  (1.62e-123, 1.62e-123j)
| (-3.3399155996945476197e-392 - 1.2080069818051277392e-392j)  +/-  (6.75e-391, 6.75e-391j)
| (-0.7660444431189780352 + 8.0231502117977691745e-395j)  +/-  (1.07e-122, 1.07e-122j)
-------------------------------------------------
The weights are:
| (0.027777777777777777778 + 1.5653128307251455024e-297j)  +/-  (4.22e-46, 5.46e-105j)
| (0.055555555555555555556 - 2.1566449851946852596e-299j)  +/-  (2.03e-46, 2.62e-105j)
| (0.055555555555555555556 + 1.4921235360675518472e-299j)  +/-  (4.42e-47, 5.72e-106j)
| (0.055555555555555555556 + 2.4660380061245755153e-299j)  +/-  (1.19e-46, 1.54e-105j)
| (0.055555555555555555556 + 4.7991822059634293086e-298j)  +/-  (2.08e-47, 2.69e-106j)
| (0.055555555555555555556 - 4.3987076241671328174e-299j)  +/-  (1.38e-47, 1.78e-106j)
| (0.027777777777777777778 + 7.2356525305146344217e-300j)  +/-  (6.78e-48, 8.77e-107j)
| (0.055555555555555555556 - 1.4582072282893312947e-299j)  +/-  (1.07e-47, 1.39e-106j)
| (0.055555555555555555556 + 1.2370986398896182508e-298j)  +/-  (9.12e-49, 1.18e-107j)
| (0.055555555555555555556 + 3.5024561377666514027e-299j)  +/-  (1.48e-48, 1.92e-107j)
| (0.055555555555555555556 - 2.1603058295224323711e-298j)  +/-  (8.33e-49, 1.08e-107j)
| (0.055555555555555555556 - 1.9050908101034987125e-297j)  +/-  (9.5e-49, 1.23e-107j)
| (0.055555555555555555556 - 1.7617986617400359995e-299j)  +/-  (6.74e-50, 8.67e-109j)
| (0.055555555555555555556 - 1.5510298018181530191e-299j)  +/-  (6.55e-50, 8.43e-109j)
| (0.055555555555555555556 + 1.9295073415824996249e-299j)  +/-  (8.41e-50, 1.1e-108j)
| (0.055555555555555555556 + 5.7885220242227039806e-299j)  +/-  (2.49e-50, 3.28e-109j)
| (0.055555555555555555556 - 8.1023533634362268488e-299j)  +/-  (2.59e-50, 3.38e-109j)
| (0.055555555555555555556 - 2.8942610120507510113e-299j)  +/-  (1.47e-50, 1.99e-109j)
| (0.055555555555555555556 + 1.6388381524100395618e-299j)  +/-  (7.76e-51, 8.95e-110j)
