Starting with polynomial:
P : t^9 - 36*t^7 + 378*t^5 - 1260*t^3 + 945*t
Extension levels are: 9
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Ending with final polynomial:
P : t^9 - 36*t^7 + 378*t^5 - 1260*t^3 + 945*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
Positive weights:   9 out of 9
Indefinite weights: 0 out of 9
Negative weights:   0 out of 9
Extension rule has valid weights: 1
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The nodes are:
| (-2.7516420536594795527e-135 - 2.7516420536594795527e-135j)  +/-  (3.5e-134, 3.5e-134j)
| (-1.0232556637891325248 - 1.6122902658161013004e-137j)  +/-  (5.69e-63, 5.69e-63j)
| (-4.5127458633997826676 + 3.6948318591618988135e-138j)  +/-  (5.31e-62, 5.31e-62j)
| (-3.2054290028564699434 - 4.0307256645402532511e-138j)  +/-  (8.44e-62, 8.44e-62j)
| (-2.0768479786778301065 + 2.2551463984142448813e-142j)  +/-  (3.32e-62, 3.32e-62j)
| (2.0768479786778301065 - 1.7782069995880619868e-161j)  +/-  (3.32e-62, 3.32e-62j)
| (4.5127458633997826676 - 7.5309995784465128679e-182j)  +/-  (5.31e-62, 5.31e-62j)
| (3.2054290028564699434 + 0j)  +/-  (8.44e-62, 8.44e-62j)
| (1.0232556637891325248 - 1.4983071721737130155e-195j)  +/-  (5.69e-63, 5.69e-63j)
-------------------------------------------------
The weights are:
| (0.40634920634920634921 + 5.007200892999160577e-138j)  +/-  (1.3e-21, 1.71e-52j)
| (0.24409750289493943614 - 8.4897793284263626435e-136j)  +/-  (1.3e-21, 1.71e-52j)
| (2.2345844007746583648e-05 + 1.8260061838438223077e-138j)  +/-  (4.48e-27, 5.9e-58j)
| (0.0027891413212317686288 - 2.8725465008370183135e-137j)  +/-  (5.7e-26, 7.51e-57j)
| (0.049916406765217874043 + 1.8704880180873799631e-136j)  +/-  (2.71e-25, 3.57e-56j)
| (0.049916406765217874043 - 1.8811054343233891133e-136j)  +/-  (5.02e-26, 6.6e-57j)
| (2.2345844007746583648e-05 - 1.8304392902263480068e-138j)  +/-  (1.39e-28, 1.82e-59j)
| (0.0027891413212317686288 + 2.8798169597283705748e-137j)  +/-  (1.79e-27, 2.37e-58j)
| (0.24409750289493943614 + 8.4496420209070702189e-136j)  +/-  (6.13e-26, 6.44e-57j)
