Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 3
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Trying to find an order 3 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Ending with final polynomial:
P : 4*t^5 - 14*t^3 + 6*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:
| (1.7320508075688772935 - 3.5221018286841338275e-133j)  +/-  (2.08e-63, 2.08e-63j)
| (-0.7071067811865475244 - 6.4066659045859229582e-145j)  +/-  (2.81e-63, 2.81e-63j)
| (-1.7320508075688772935 + 1.3336552496910464901e-161j)  +/-  (2.08e-63, 2.08e-63j)
| (-1.2338789709326766683e-178 + 9.8710317674614133463e-178j)  +/-  (4.97e-177, 4.97e-177j)
| (0.7071067811865475244 + 0j)  +/-  (1.14e-63, 1.14e-63j)
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The weights are:
| (0.033333333333333333333 + 2.6435323705765884781e-134j)  +/-  (1.49e-30, 1.95e-62j)
| (0.3 - 2.8879657837259655288e-134j)  +/-  (1.58e-29, 1.91e-61j)
| (0.033333333333333333333 + 3.3891440648088426533e-135j)  +/-  (9.12e-31, 1.22e-62j)
| (0.33333333333333333333 + 6.7782881297254947467e-134j)  +/-  (1.06e-29, 1.33e-61j)
| (0.3 - 6.8727691230570019613e-134j)  +/-  (4.69e-30, 5.39e-62j)
