Starting with polynomial:
P : 32768*t^16 - 131072*t^14 + 212992*t^12 - 180224*t^10 + 84480*t^8 - 21504*t^6 + 2688*t^4 - 128*t^2 + 1
Extension levels are: 16
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Ending with final polynomial:
P : 32768*t^16 - 131072*t^14 + 212992*t^12 - 180224*t^10 + 84480*t^8 - 21504*t^6 + 2688*t^4 - 128*t^2 + 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
Positive weights:   16 out of 16
Indefinite weights: 0 out of 16
Negative weights:   0 out of 16
Extension rule has valid weights: 1
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The nodes are:
| (0.99518472667219688624 - 4.081070479294604988e-218j)  +/-  (1.43e-59, 1.43e-59j)
| (-0.63439328416364549822 + 6.7361533832446820137e-228j)  +/-  (1.46e-60, 1.46e-60j)
| (-0.95694033573220886494 - 1.1371461683797563028e-225j)  +/-  (2.33e-59, 2.33e-59j)
| (-0.99518472667219688624 - 9.9332175750342191313e-228j)  +/-  (1.51e-59, 1.51e-59j)
| (0.95694033573220886494 + 3.0317714320641354826e-226j)  +/-  (2.6e-59, 2.6e-59j)
| (0.77301045336273696081 + 1.5460093711206498251e-233j)  +/-  (8.34e-60, 8.34e-60j)
| (0.098017140329560601994 - 7.2875892050240816711e-241j)  +/-  (1.12e-63, 1.12e-63j)
| (-0.88192126434835502971 - 3.6484811550554646823e-240j)  +/-  (1.84e-59, 1.84e-59j)
| (-0.47139673682599764856 - 2.1894987663808283959e-242j)  +/-  (1.82e-61, 1.82e-61j)
| (0.29028467725446236764 - 5.6751222205523144042e-244j)  +/-  (1.26e-62, 1.26e-62j)
| (0.88192126434835502971 - 1.4791931465181516254e-242j)  +/-  (1.89e-59, 1.89e-59j)
| (0.47139673682599764856 - 2.4861286661906382996e-247j)  +/-  (1.96e-61, 1.96e-61j)
| (-0.29028467725446236764 + 1.3460710685624874502e-248j)  +/-  (1.26e-62, 1.26e-62j)
| (-0.77301045336273696081 - 6.6706463537789261343e-247j)  +/-  (9.31e-60, 9.31e-60j)
| (-0.098017140329560601994 - 2.0514053249817415745e-250j)  +/-  (1.12e-63, 1.12e-63j)
| (0.63439328416364549822 - 3.9810766571080174339e-252j)  +/-  (1.42e-60, 1.42e-60j)
-------------------------------------------------
The weights are:
| (0.0625 + 1.3210637109157163541e-217j)  +/-  (7.43e-18, 3.94e-46j)
| (0.0625 - 1.2344180876105244296e-218j)  +/-  (3.79e-18, 2.01e-46j)
| (0.0625 + 3.8696217979875253584e-219j)  +/-  (1.77e-18, 9.37e-47j)
| (0.0625 - 1.2815059862510726397e-219j)  +/-  (1.19e-18, 6.29e-47j)
| (0.0625 - 1.9751880431603280493e-217j)  +/-  (3.27e-19, 1.73e-47j)
| (0.0625 - 7.4304804160458932532e-218j)  +/-  (1.1e-19, 5.85e-48j)
| (0.0625 - 2.8865707725016925153e-218j)  +/-  (5.28e-20, 2.81e-48j)
| (0.0625 - 6.5350627398736657061e-219j)  +/-  (1.02e-19, 5.42e-48j)
| (0.0625 + 1.5648607449439744601e-218j)  +/-  (3.45e-20, 1.84e-48j)
| (0.0625 + 3.5327215152322631805e-218j)  +/-  (2.26e-20, 1.19e-48j)
| (0.0625 + 1.0830507926877551233e-217j)  +/-  (1.94e-20, 1.02e-48j)
| (0.0625 - 4.3815357790287442973e-218j)  +/-  (8.51e-21, 4.53e-49j)
| (0.0625 - 1.937203274986827874e-218j)  +/-  (3.64e-21, 1.97e-49j)
| (0.0625 + 9.3364208935610848002e-219j)  +/-  (3.51e-21, 1.87e-49j)
| (0.0625 + 2.3689474019449878888e-218j)  +/-  (2.73e-21, 1.49e-49j)
| (0.0625 + 5.5754666670786353783e-218j)  +/-  (1.37e-21, 6.52e-50j)
