Starting with polynomial:
P : -1/5040*t^7 + 7/720*t^6 - 7/40*t^5 + 35/24*t^4 - 35/6*t^3 + 21/2*t^2 - 7*t + 1
Extension levels are: 7
-------------------------------------------------
Ending with final polynomial:
P : -1/5040*t^7 + 7/720*t^6 - 7/40*t^5 + 35/24*t^4 - 35/6*t^3 + 21/2*t^2 - 7*t + 1
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 53
Linear system for weights solvable: 1
  current precision for roots: 106
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 106
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (19.395727862262540312 - 1.0058657750832483664e-375j)  +/-  (4.46e-124, 4.46e-124j)
| (4.9003530845264845681 - 4.2785876355755695753e-386j)  +/-  (3.12e-124, 3.12e-124j)
| (12.734180291797813758 - 9.0880154881172804455e-396j)  +/-  (9.28e-124, 9.28e-124j)
| (2.5678767449507462069 + 1.1328569792013377507e-403j)  +/-  (5.89e-125, 5.89e-125j)
| (1.0266648953391919503 + 1.58824913530015901e-423j)  +/-  (4.95e-126, 4.95e-126j)
| (0.19304367656036241384 - 3.5673065051502972484e-455j)  +/-  (1.44e-127, 1.44e-127j)
| (8.1821534445628607911 - 5.1477597052201234747e-487j)  +/-  (8.22e-124, 8.22e-124j)
-------------------------------------------------
The weights are:
| (3.1703154789955805623e-08 + 1.5122493809181033969e-383j)  +/-  (8.27e-31, 2.55e-124j)
| (0.020633514468716939866 - 8.9209047323086157405e-382j)  +/-  (6.99e-28, 2.16e-121j)
| (1.5865464348564201269e-05 - 8.6771082116525909242e-383j)  +/-  (5.4e-30, 1.67e-123j)
| (0.1471263486575052784 + 1.4853940216517799374e-381j)  +/-  (6.92e-28, 2.15e-121j)
| (0.42183127786171977993 - 1.4569170742785269186e-381j)  +/-  (1.28e-27, 3.87e-121j)
| (0.40931895170127390213 + 5.9529863578941890119e-382j)  +/-  (7.51e-28, 2.23e-121j)
| (0.0010740101432807455221 + 3.399634783755345293e-382j)  +/-  (3.71e-29, 1.14e-122j)
