Starting with polynomial:
P : t^15 - 105*t^13 + 4095*t^11 - 75075*t^9 + 675675*t^7 - 2837835*t^5 + 4729725*t^3 - 2027025*t
Extension levels are: 15
-------------------------------------------------
Ending with final polynomial:
P : t^15 - 105*t^13 + 4095*t^11 - 75075*t^9 + 675675*t^7 - 2837835*t^5 + 4729725*t^3 - 2027025*t
-------------------------------------------------
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:   15 out of 15
Indefinite weights: 0 out of 15
Negative weights:   0 out of 15
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-5.1900935913047811995 + 0j)  +/-  (2.5e-60, 2.5e-60j)
| (3.2890824243987663889 + 6.6190425982440054503e-184j)  +/-  (1.62e-60, 1.62e-60j)
| (5.1900935913047811995 + 8.493261227407561779e-193j)  +/-  (2.46e-60, 2.46e-60j)
| (4.1962077112690156596 - 1.395407293153659455e-203j)  +/-  (3.24e-60, 3.24e-60j)
| (-4.1962077112690156596 - 3.0655101506509452154e-210j)  +/-  (2.75e-60, 2.75e-60j)
| (2.4324368270097580412 + 6.8696544293549099148e-218j)  +/-  (4.08e-61, 4.08e-61j)
| (6.3639478888298383177 + 2.4206457899829035822e-222j)  +/-  (6.36e-61, 6.36e-61j)
| (-0.79912906832454799942 - 8.1264537235140334547e-222j)  +/-  (9.95e-63, 9.95e-63j)
| (-3.2890824243987663889 - 5.7058079335311298724e-222j)  +/-  (1.66e-60, 1.66e-60j)
| (-6.3639478888298383177 + 4.7548399446092748937e-223j)  +/-  (8.32e-61, 8.32e-61j)
| (0.79912906832454799942 + 2.5935490606959681238e-223j)  +/-  (9.5e-63, 9.5e-63j)
| (5.0127596184512730258e-227 + 6.7450821625133866365e-329j)  +/-  (7.52e-226, 7.52e-226j)
| (-1.6067100690287297365 - 5.2765890720539716061e-228j)  +/-  (6.8e-62, 6.8e-62j)
| (-2.4324368270097580412 - 1.6102871923992833271e-232j)  +/-  (4.9e-61, 4.9e-61j)
| (1.6067100690287297365 - 7.7552321640170867936e-237j)  +/-  (6.8e-62, 6.8e-62j)
-------------------------------------------------
The weights are:
| (5.9754195979206048959e-07 - 2.3889648656600397388e-189j)  +/-  (8.54e-22, 9.07e-52j)
| (0.0015673575035499562125 - 1.7061138355186970895e-186j)  +/-  (2.24e-19, 2.38e-49j)
| (5.9754195979206048959e-07 + 1.0655620514482921125e-188j)  +/-  (2.09e-22, 2.22e-52j)
| (5.6421464051890168054e-05 - 2.169871981217469723e-187j)  +/-  (3.83e-21, 4.06e-51j)
| (5.6421464051890168054e-05 + 2.6296185022123391691e-188j)  +/-  (1.25e-22, 1.33e-52j)
| (0.017365774492137606347 + 4.0311141940437470251e-186j)  +/-  (1.22e-19, 1.29e-49j)
| (8.5896498996332708739e-10 - 2.4977031561542542414e-190j)  +/-  (3.39e-24, 3.6e-54j)
| (0.23246229360973223332 + 3.0904527942396943877e-186j)  +/-  (6.07e-20, 6.36e-50j)
| (0.0015673575035499562125 - 1.5770973092552698706e-187j)  +/-  (2.85e-22, 3.03e-52j)
| (8.5896498996332708739e-10 + 7.9561556585925648388e-191j)  +/-  (1.69e-25, 1.79e-55j)
| (0.23246229360973223332 + 5.074161168630514683e-186j)  +/-  (8.82e-21, 9.02e-51j)
| (0.31825951825951825952 - 4.4946424921960620241e-186j)  +/-  (7.39e-21, 7.6e-51j)
| (0.089417795399844402168 - 1.6005460972157219796e-186j)  +/-  (2.65e-21, 2.83e-51j)
| (0.017365774492137606347 + 6.0355232154254538519e-187j)  +/-  (6.18e-22, 6.56e-52j)
| (0.089417795399844402168 - 4.6576737563906632017e-186j)  +/-  (1.53e-21, 1.39e-51j)
