Starting with polynomial:
P : 2*t^2 - 1
Extension levels are: 2 4
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Trying to find an order 4 Kronrod extension for:
P1 : 2*t^2 - 1
Solvable: 1
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Ending with final polynomial:
P : 2*t^6 - 3*t^4 + 9/8*t^2 - 1/16
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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:
| (0.25881904510252076235 + 5.6604444567330728693e-173j)  +/-  (8.74e-64, 8.74e-64j)
| (-0.7071067811865475244 - 4.9355158837307066731e-178j)  +/-  (6.74e-63, 6.74e-63j)
| (-0.96592582628906828675 - 6.8948360398375056774e-187j)  +/-  (3.79e-63, 3.79e-63j)
| (-0.25881904510252076235 - 4.6822099130428531733e-197j)  +/-  (8.74e-64, 8.74e-64j)
| (0.7071067811865475244 - 1.1331388749451397798e-217j)  +/-  (5.56e-63, 5.56e-63j)
| (0.96592582628906828675 + 9.0176082774359866315e-231j)  +/-  (3.79e-63, 3.79e-63j)
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The weights are:
| (0.16666666666666666667 - 1.3086290897472299281e-174j)  +/-  (4.25e-28, 2.28e-59j)
| (0.16666666666666666667 - 7.1499048428828689292e-174j)  +/-  (1.69e-28, 9.04e-60j)
| (0.16666666666666666667 + 2.0638666206678195564e-174j)  +/-  (4.26e-29, 2.27e-60j)
| (0.16666666666666666667 + 1.8225482289063433024e-173j)  +/-  (1.79e-28, 9.59e-60j)
| (0.16666666666666666667 - 1.5405720319233865822e-173j)  +/-  (2.46e-29, 1.38e-60j)
| (0.16666666666666666667 + 3.5749053421327120985e-174j)  +/-  (1.03e-29, 5.13e-61j)
