Starting with polynomial:
P : 4*t^2 - 1
Extension levels are: 2 3
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Trying to find an order 3 Kronrod extension for:
P1 : 4*t^2 - 1
Solvable: 1
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Ending with final polynomial:
P : 4*t^5 - 4*t^3 + 3/4*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
Sufficient bits for target precision reached
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The nodes are:
| (0.5 - 5.6023190959597236491e-82j)  +/-  (1.61e-63, 1.61e-63j)
| (-0.5 - 3.3353547389900518457e-88j)  +/-  (1.61e-63, 1.61e-63j)
| (-0.86602540378443864676 + 5.7147150155771642862e-103j)  +/-  (1.51e-63, 1.51e-63j)
| (1.5490367659397273091e-120 + 7.7451838296986365456e-121j)  +/-  (8.66e-120, 8.66e-120j)
| (0.86602540378443864676 + 6.8791051341486988818e-136j)  +/-  (1.51e-63, 1.51e-63j)
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The weights are:
| (0.125 + 7.0028947007562308238e-83j)  +/-  (7.27e-30, 3.16e-61j)
| (0.125 + 7.0028947007562308238e-83j)  +/-  (3.26e-30, 1.44e-61j)
| (0.041666666666666666667 - 1.7088297211726943533e-83j)  +/-  (1.49e-30, 6.63e-62j)
| (0.16666666666666666667 - 1.8674385868683282197e-82j)  +/-  (2.09e-30, 9.13e-62j)
| (0.041666666666666666667 + 6.3774261883435149025e-83j)  +/-  (4.22e-31, 1.52e-62j)
