Starting with polynomial:
P : 4096*t^12 - 11264*t^10 + 11520*t^8 - 5376*t^6 + 1120*t^4 - 84*t^2 + 1
Extension levels are: 12
-------------------------------------------------
Ending with final polynomial:
P : 4096*t^12 - 11264*t^10 + 11520*t^8 - 5376*t^6 + 1120*t^4 - 84*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:
| (0.97094181742605202716 - 7.071289082841870819e-155j)  +/-  (3.4e-61, 3.4e-61j)
| (-0.97094181742605202716 - 3.3562533290400930345e-154j)  +/-  (3.23e-61, 3.23e-61j)
| (-0.8854560256532098959 + 8.8910349979403099338e-162j)  +/-  (4.71e-61, 4.71e-61j)
| (0.74851074817110109863 - 1.0242815282356161499e-164j)  +/-  (2.69e-61, 2.69e-61j)
| (0.56806474673115580251 - 3.7308267584740985592e-166j)  +/-  (9.8e-62, 9.8e-62j)
| (-0.74851074817110109863 + 2.5876317516494047402e-169j)  +/-  (3.35e-61, 3.35e-61j)
| (0.35460488704253562597 + 6.4778645973965525085e-178j)  +/-  (1.14e-62, 1.14e-62j)
| (0.8854560256532098959 - 3.1624314636054692707e-184j)  +/-  (4.68e-61, 4.68e-61j)
| (-0.12053668025532305335 - 4.9534891287589908698e-191j)  +/-  (9.34e-64, 9.34e-64j)
| (-0.35460488704253562597 - 2.5994444432462456133e-202j)  +/-  (1.14e-62, 1.14e-62j)
| (-0.56806474673115580251 - 2.1577389277450063997e-209j)  +/-  (7.83e-62, 7.83e-62j)
| (0.12053668025532305335 + 1.3416364279350454992e-215j)  +/-  (9.34e-64, 9.34e-64j)
-------------------------------------------------
The weights are:
| (0.0044055374748765424654 + 8.6835195837760393521e-156j)  +/-  (4.09e-21, 2.22e-50j)
| (0.0044055374748765424654 - 3.7761118143624051784e-155j)  +/-  (1.65e-21, 8.93e-51j)
| (0.016612894356494007596 + 6.5856610347326250109e-155j)  +/-  (1.48e-21, 8.02e-51j)
| (0.033825512297872190256 + 1.735595059931255613e-155j)  +/-  (4.04e-22, 2.19e-51j)
| (0.052100187963174447153 - 2.0506581072615679691e-155j)  +/-  (2.84e-22, 1.54e-51j)
| (0.033825512297872190256 - 5.2430261840308715576e-155j)  +/-  (1.01e-22, 5.49e-52j)
| (0.067250413391196196101 + 2.4743348715674908667e-155j)  +/-  (7.28e-23, 3.94e-52j)
| (0.016612894356494007596 - 1.6745509791814891263e-155j)  +/-  (7.65e-23, 4.15e-52j)
| (0.075805454516386616429 + 3.4828934993478761429e-155j)  +/-  (1.03e-23, 5.61e-53j)
| (0.067250413391196196101 - 4.0208665468307594326e-155j)  +/-  (4.36e-24, 2.38e-53j)
| (0.052100187963174447153 + 4.5797026420687804873e-155j)  +/-  (3.29e-24, 1.79e-53j)
| (0.075805454516386616429 - 2.961325434358538792e-155j)  +/-  (3.92e-24, 2.07e-53j)
