Starting with polynomial:
P : -1/120*t^5 + 5/24*t^4 - 5/3*t^3 + 5*t^2 - 5*t + 1
Extension levels are: 5
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Ending with final polynomial:
P : -1/120*t^5 + 5/24*t^4 - 5/3*t^3 + 5*t^2 - 5*t + 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
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The nodes are:
| (12.640800844275782659 - 3.2811114673930008062e-102j)  +/-  (3.36e-61, 3.36e-61j)
| (7.0858100058588375569 - 3.0980735318794546183e-120j)  +/-  (5.2e-61, 5.2e-61j)
| (3.5964257710407220812 + 3.6066322725725530394e-130j)  +/-  (1.41e-61, 1.41e-61j)
| (0.2635603197181409102 - 4.4026272858551672844e-134j)  +/-  (1.04e-63, 1.04e-63j)
| (1.4134030591065167922 + 3.2033329522929614791e-145j)  +/-  (2.14e-62, 2.14e-62j)
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The weights are:
| (2.3369972385776227891e-05 + 3.5306726907351767644e-107j)  +/-  (5.63e-31, 1.37e-61j)
| (0.0036117586799220484545 - 1.2847941691772308869e-106j)  +/-  (4.48e-30, 1.09e-60j)
| (0.075942449681707595388 + 2.5778763187229796628e-106j)  +/-  (1.73e-29, 4.24e-60j)
| (0.52175561058280865248 + 1.3366340980635435088e-106j)  +/-  (4.05e-29, 9.58e-60j)
| (0.39866681108317592745 - 2.9827835166828099611e-106j)  +/-  (4.9e-29, 1.1e-59j)
