Starting with polynomial:
P : t^10 - 45*t^8 + 630*t^6 - 3150*t^4 + 4725*t^2 - 945
Extension levels are: 10
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Ending with final polynomial:
P : t^10 - 45*t^8 + 630*t^6 - 3150*t^4 + 4725*t^2 - 945
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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:
| (-2.4843258416389545809 - 6.1098727269992093641e-151j)  +/-  (7.53e-62, 7.53e-62j)
| (-4.8594628283323121502 - 8.5920085223426381683e-152j)  +/-  (5.22e-62, 5.22e-62j)
| (-3.5818234835519269228 + 4.3701215221876211386e-157j)  +/-  (1.25e-61, 1.25e-61j)
| (3.5818234835519269228 - 1.0107936529880487267e-173j)  +/-  (1.63e-61, 1.63e-61j)
| (2.4843258416389545809 - 1.7237090099593764194e-187j)  +/-  (7.79e-62, 7.79e-62j)
| (1.4659890943911581833 - 4.280877634782037187e-196j)  +/-  (2.07e-62, 2.07e-62j)
| (-0.48493570751549765305 + 5.2256807065210414881e-200j)  +/-  (2.22e-63, 2.22e-63j)
| (0.48493570751549765305 - 5.1032038149619545782e-203j)  +/-  (2.22e-63, 2.22e-63j)
| (-1.4659890943911581833 + 6.2294968444359797097e-206j)  +/-  (1.98e-62, 1.98e-62j)
| (4.8594628283323121502 - 1.1038319840719372567e-214j)  +/-  (6.21e-62, 6.21e-62j)
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The weights are:
| (0.019111580500770285605 - 1.451503710206917366e-152j)  +/-  (4.35e-23, 3.52e-54j)
| (4.3106526307182867322e-06 + 7.2935292296458080589e-155j)  +/-  (4.27e-26, 3.46e-57j)
| (0.00075807093431221767007 - 2.1151592243288185087e-153j)  +/-  (9.25e-25, 7.49e-56j)
| (0.00075807093431221767007 - 3.8395557642902301781e-154j)  +/-  (1.32e-26, 1.07e-57j)
| (0.019111580500770285605 + 2.3534793364180970895e-153j)  +/-  (1.09e-25, 8.85e-57j)
| (0.13548370298026773556 - 7.8806992584985559345e-153j)  +/-  (7.74e-25, 6.27e-56j)
| (0.34464233493201904288 - 2.482483012383345381e-152j)  +/-  (2.3e-24, 1.81e-55j)
| (0.34464233493201904288 + 1.6719591342255078193e-152j)  +/-  (1.7e-24, 1.33e-55j)
| (0.13548370298026773556 + 3.0549757341173053933e-152j)  +/-  (5.15e-25, 3.94e-56j)
| (4.3106526307182867322e-06 + 2.3917973016337633584e-155j)  +/-  (4.48e-28, 3.62e-59j)
