Starting with polynomial:
P : 2048*t^12 - 6144*t^10 + 6912*t^8 - 3584*t^6 + 840*t^4 - 72*t^2 + 1
Extension levels are: 12
-------------------------------------------------
Ending with final polynomial:
P : 2048*t^12 - 6144*t^10 + 6912*t^8 - 3584*t^6 + 840*t^4 - 72*t^2 + 1
-------------------------------------------------
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:   12 out of 12
Indefinite weights: 0 out of 12
Negative weights:   0 out of 12
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.99144486137381041114 - 8.4723745257523269764e-183j)  +/-  (6.2e-61, 6.2e-61j)
| (-0.99144486137381041114 - 4.4126950654960036336e-185j)  +/-  (5.48e-61, 5.48e-61j)
| (-0.92387953251128675613 + 5.9617214293028562681e-191j)  +/-  (9.66e-61, 9.66e-61j)
| (-0.13052619222005159155 + 3.3904550867473734521e-193j)  +/-  (1.06e-63, 1.06e-63j)
| (0.79335334029123516458 - 8.3049026114771521428e-194j)  +/-  (5.14e-61, 5.14e-61j)
| (0.60876142900872063942 - 9.6319746782595836708e-196j)  +/-  (1.19e-61, 1.19e-61j)
| (-0.38268343236508977173 + 4.9497647652167304975e-195j)  +/-  (1.3e-62, 1.3e-62j)
| (-0.79335334029123516458 - 2.1066025348162948499e-199j)  +/-  (4.87e-61, 4.87e-61j)
| (-0.60876142900872063942 + 4.8667944097156091482e-207j)  +/-  (1.12e-61, 1.12e-61j)
| (0.38268343236508977173 - 3.0417465060722557176e-210j)  +/-  (1.5e-62, 1.5e-62j)
| (0.92387953251128675613 + 6.2973658133527169154e-211j)  +/-  (9.27e-61, 9.27e-61j)
| (0.13052619222005159155 - 2.8328471873628494494e-219j)  +/-  (1.06e-63, 1.06e-63j)
-------------------------------------------------
The weights are:
| (0.083333333333333333333 + 2.0545009006714333075e-182j)  +/-  (1.75e-21, 1.57e-50j)
| (0.083333333333333333333 - 4.6305733434347698125e-184j)  +/-  (7.81e-22, 6.98e-51j)
| (0.083333333333333333333 + 1.2403119540859722231e-183j)  +/-  (6.41e-22, 5.73e-51j)
| (0.083333333333333333333 + 4.81228143385730907e-183j)  +/-  (1.92e-22, 1.72e-51j)
| (0.083333333333333333333 + 1.6632535127928736958e-182j)  +/-  (4e-23, 3.58e-52j)
| (0.083333333333333333333 - 1.122777822604887304e-182j)  +/-  (4.33e-23, 3.87e-52j)
| (0.083333333333333333333 - 3.6795127393934632576e-183j)  +/-  (2.68e-23, 2.4e-52j)
| (0.083333333333333333333 - 1.9315262635156261059e-183j)  +/-  (1.32e-23, 1.18e-52j)
| (0.083333333333333333333 + 2.7401467943941249406e-183j)  +/-  (1.03e-23, 9.24e-53j)
| (0.083333333333333333333 + 8.2280207159635047064e-183j)  +/-  (2.36e-24, 2.12e-53j)
| (0.083333333333333333333 - 3.0642329781714534596e-182j)  +/-  (1.07e-24, 9.55e-54j)
| (0.083333333333333333333 - 6.2541006879280069916e-183j)  +/-  (2.01e-24, 1.78e-53j)
