Starting with polynomial:
P : 512*t^10 - 1280*t^8 + 1120*t^6 - 400*t^4 + 50*t^2 - 1
Extension levels are: 10
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Ending with final polynomial:
P : 512*t^10 - 1280*t^8 + 1120*t^6 - 400*t^4 + 50*t^2 - 1
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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
Positive weights:   10 out of 10
Indefinite weights: 0 out of 10
Negative weights:   0 out of 10
Extension rule has valid weights: 1
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The nodes are:
| (0.98768834059513772619 - 1.4561893716136811991e-183j)  +/-  (1.15e-61, 1.15e-61j)
| (-0.98768834059513772619 - 2.2839144381961737557e-186j)  +/-  (1.06e-61, 1.06e-61j)
| (-0.89100652418836786236 + 1.2203994455278788125e-189j)  +/-  (1.67e-61, 1.67e-61j)
| (0.45399049973954679156 + 1.8812450543475749357e-198j)  +/-  (8.93e-63, 8.93e-63j)
| (0.89100652418836786236 - 3.4810026238314694034e-214j)  +/-  (1.62e-61, 1.62e-61j)
| (0.7071067811865475244 + 1.1481857820789442215e-224j)  +/-  (6.85e-62, 6.85e-62j)
| (0.15643446504023086901 + 2.638294536026985803e-228j)  +/-  (6.41e-64, 6.41e-64j)
| (-0.7071067811865475244 - 4.3477754194780649831e-230j)  +/-  (6.85e-62, 6.85e-62j)
| (-0.45399049973954679156 - 6.0543024323605867277e-234j)  +/-  (9.6e-63, 9.6e-63j)
| (-0.15643446504023086901 + 4.349120760297329769e-240j)  +/-  (6.41e-64, 6.41e-64j)
-------------------------------------------------
The weights are:
| (0.1 + 2.9387320929747281969e-183j)  +/-  (2.3e-22, 2.66e-52j)
| (0.1 - 7.8325593396438806384e-185j)  +/-  (9.12e-23, 1.06e-52j)
| (0.1 + 2.3180071161255281617e-184j)  +/-  (8.42e-23, 9.75e-53j)
| (0.1 - 1.5549734874636135529e-183j)  +/-  (2.53e-23, 2.92e-53j)
| (0.1 - 4.3714190292877379304e-183j)  +/-  (1.39e-23, 1.61e-53j)
| (0.1 + 2.3465189676448475394e-183j)  +/-  (1.14e-23, 1.32e-53j)
| (0.1 + 1.1073027171683630327e-183j)  +/-  (2.35e-24, 2.72e-54j)
| (0.1 - 3.9205714235883903166e-184j)  +/-  (6.16e-25, 7.16e-55j)
| (0.1 + 5.777424874769714287e-184j)  +/-  (3.46e-25, 4.02e-55j)
| (0.1 - 8.0532172437083369256e-184j)  +/-  (3.45e-25, 3.96e-55j)
