Starting with polynomial:
P : 1/40320*t^8 - 1/630*t^7 + 7/180*t^6 - 7/15*t^5 + 35/12*t^4 - 28/3*t^3 + 14*t^2 - 8*t + 1
Extension levels are: 8
-------------------------------------------------
Ending with final polynomial:
P : 1/40320*t^8 - 1/630*t^7 + 7/180*t^6 - 7/15*t^5 + 35/12*t^4 - 28/3*t^3 + 14*t^2 - 8*t + 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:   8 out of 8
Indefinite weights: 0 out of 8
Negative weights:   0 out of 8
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (15.740678641278004578 - 5.1935504725044763767e-127j)  +/-  (1.92e-59, 1.92e-59j)
| (22.863131736889264106 + 6.6215514379261715957e-131j)  +/-  (7.65e-60, 7.65e-60j)
| (7.0459054023934656973 + 2.5259214164452253707e-136j)  +/-  (1.03e-59, 1.03e-59j)
| (10.758516010180995224 - 3.5036454165704266178e-145j)  +/-  (1.84e-59, 1.84e-59j)
| (2.2510866298661306893 + 2.3671491578516281168e-157j)  +/-  (4.59e-61, 4.59e-61j)
| (0.90370177679937991219 - 2.5111904816421835553e-174j)  +/-  (2.89e-62, 2.89e-62j)
| (4.2667001702876587936 - 4.7436471954082039061e-184j)  +/-  (2.86e-60, 2.86e-60j)
| (0.17027963230510099979 - 8.5287685388614979083e-189j)  +/-  (1.44e-63, 1.44e-63j)
-------------------------------------------------
The weights are:
| (8.4857467162725315449e-07 + 2.0635687385829621856e-133j)  +/-  (8.65e-28, 3.07e-57j)
| (1.0480011748715103816e-09 + 2.6206637555081692883e-135j)  +/-  (4.28e-29, 1.52e-58j)
| (0.0027945362352256725249 + 1.9460925912342769136e-132j)  +/-  (1.6e-26, 5.68e-56j)
| (9.0765087733582131042e-05 - 7.5633822972941381272e-133j)  +/-  (3.15e-27, 1.12e-56j)
| (0.1757949866371718057 + 5.6234029019892663655e-132j)  +/-  (9.26e-26, 3.29e-55j)
| (0.41878678081434295608 - 4.9999117696845392627e-132j)  +/-  (1.88e-25, 6.25e-55j)
| (0.033343492261215651522 - 3.9640229304331417313e-132j)  +/-  (3.06e-26, 1.09e-55j)
| (0.36918858934163752992 + 1.9417998990097471397e-132j)  +/-  (1.2e-25, 3.82e-55j)
Starting with polynomial:
P : 1/40320*t^8 - 1/630*t^7 + 7/180*t^6 - 7/15*t^5 + 35/12*t^4 - 28/3*t^3 + 14*t^2 - 8*t + 1
Extension levels are: 8
-------------------------------------------------
Ending with final polynomial:
P : 1/40320*t^8 - 1/630*t^7 + 7/180*t^6 - 7/15*t^5 + 35/12*t^4 - 28/3*t^3 + 14*t^2 - 8*t + 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:   8 out of 8
Indefinite weights: 0 out of 8
Negative weights:   0 out of 8
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (15.740678641278004578 - 5.1935504725044763767e-127j)  +/-  (1.92e-59, 1.92e-59j)
| (22.863131736889264106 + 6.6215514379261715957e-131j)  +/-  (7.65e-60, 7.65e-60j)
| (7.0459054023934656973 + 2.5259214164452253707e-136j)  +/-  (1.03e-59, 1.03e-59j)
| (10.758516010180995224 - 3.5036454165704266178e-145j)  +/-  (1.84e-59, 1.84e-59j)
| (2.2510866298661306893 + 2.3671491578516281168e-157j)  +/-  (4.59e-61, 4.59e-61j)
| (0.90370177679937991219 - 2.5111904816421835553e-174j)  +/-  (2.89e-62, 2.89e-62j)
| (4.2667001702876587936 - 4.7436471954082039061e-184j)  +/-  (2.86e-60, 2.86e-60j)
| (0.17027963230510099979 - 8.5287685388614979083e-189j)  +/-  (1.44e-63, 1.44e-63j)
-------------------------------------------------
The weights are:
| (8.4857467162725315449e-07 + 2.0635687385829621856e-133j)  +/-  (8.65e-28, 3.07e-57j)
| (1.0480011748715103816e-09 + 2.6206637555081692883e-135j)  +/-  (4.28e-29, 1.52e-58j)
| (0.0027945362352256725249 + 1.9460925912342769136e-132j)  +/-  (1.6e-26, 5.68e-56j)
| (9.0765087733582131042e-05 - 7.5633822972941381272e-133j)  +/-  (3.15e-27, 1.12e-56j)
| (0.1757949866371718057 + 5.6234029019892663655e-132j)  +/-  (9.26e-26, 3.29e-55j)
| (0.41878678081434295608 - 4.9999117696845392627e-132j)  +/-  (1.88e-25, 6.25e-55j)
| (0.033343492261215651522 - 3.9640229304331417313e-132j)  +/-  (3.06e-26, 1.09e-55j)
| (0.36918858934163752992 + 1.9417998990097471397e-132j)  +/-  (1.2e-25, 3.82e-55j)
