Starting with polynomial:
P : t^23 - 253*t^21 + 26565*t^19 - 1514205*t^17 + 51482970*t^15 - 1081142370*t^13 + 14054850810*t^11 - 110430970650*t^9 + 496939367925*t^7 - 1159525191825*t^5 + 1159525191825*t^3 - 316234143225*t
Extension levels are: 23
-------------------------------------------------
Ending with final polynomial:
P : t^23 - 253*t^21 + 26565*t^19 - 1514205*t^17 + 51482970*t^15 - 1081142370*t^13 + 14054850810*t^11 - 110430970650*t^9 + 496939367925*t^7 - 1159525191825*t^5 + 1159525191825*t^3 - 316234143225*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: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   23 out of 23
Indefinite weights: 0 out of 23
Negative weights:   0 out of 23
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-4.7307241974514732943 + 9.5078673908937732669e-312j)  +/-  (2.77e-122, 2.77e-122j)
| (-3.3050400217529645672 + 1.1796405324250648956e-325j)  +/-  (5.2e-123, 5.2e-123j)
| (-7.214659435051861386 + 8.4534955787070103977e-343j)  +/-  (1.62e-122, 1.62e-122j)
| (7.214659435051861386 - 2.5637693996741627479e-350j)  +/-  (1.51e-122, 1.51e-122j)
| (-5.4934739864717941286 - 8.2306919353114455113e-358j)  +/-  (3.4e-122, 3.4e-122j)
| (8.2933860274173525895 + 2.9867264204409490505e-365j)  +/-  (2.99e-123, 2.99e-123j)
| (-8.2933860274173525895 - 9.2938839749650672355e-365j)  +/-  (3.11e-123, 3.11e-123j)
| (-6.3103498544483998284 - 1.6529460660182581961e-367j)  +/-  (3.81e-122, 3.81e-122j)
| (4.7307241974514732943 - 3.4364501505664618548e-373j)  +/-  (2.8e-122, 2.8e-122j)
| (3.3050400217529645672 + 7.7167958949976387492e-374j)  +/-  (6.2e-123, 6.2e-123j)
| (1.9573275529334241074 + 3.3780728604308210862e-376j)  +/-  (1.64e-124, 1.64e-124j)
| (6.3103498544483998284 - 6.81925412646181713e-374j)  +/-  (3.28e-122, 3.28e-122j)
| (5.4934739864717941286 + 1.3282586517124946376e-373j)  +/-  (3.42e-122, 3.42e-122j)
| (-2.6243236340591817707 + 5.3563642094689492495e-373j)  +/-  (1.17e-123, 1.17e-123j)
| (2.6243236340591817707 + 6.9790520000925290673e-383j)  +/-  (1.31e-123, 1.31e-123j)
| (-4.0047753217333040671 + 1.1203730369746608654e-386j)  +/-  (1.54e-122, 1.54e-122j)
| (4.0047753217333040671 - 1.2660304653061842221e-393j)  +/-  (2.18e-122, 2.18e-122j)
| (-0.64847115353449581672 + 1.8507393319800135185e-398j)  +/-  (2.65e-126, 2.65e-126j)
| (-1.9573275529334241074 - 1.2223626601167360755e-396j)  +/-  (2.19e-124, 2.19e-124j)
| (-1.29987646830397887 - 3.1484569507476995104e-400j)  +/-  (2.71e-125, 2.71e-125j)
| (1.29987646830397887 - 3.4953536071970154702e-406j)  +/-  (2.7e-125, 2.7e-125j)
| (0.64847115353449581672 + 8.5516154646293511732e-406j)  +/-  (2.76e-126, 2.76e-126j)
| (4.7333512762193650305e-432 + 1.4926543127726269119e-433j)  +/-  (1.09e-430, 1.09e-430j)
-------------------------------------------------
The weights are:
| (4.0899772449921430072e-06 + 9.1981744339600008316e-317j)  +/-  (2.01e-37, 2.36e-98j)
| (0.0011676286374978573986 + 4.6086380544490901905e-316j)  +/-  (2.08e-34, 2.45e-95j)
| (1.9229353115677964042e-12 + 1.0734594177854813923e-320j)  +/-  (4.64e-42, 5.45e-103j)
| (1.9229353115677964042e-12 - 2.2321624453452974692e-321j)  +/-  (5.62e-44, 6.6e-105j)
| (8.7750624838619654331e-08 + 7.4676950417791193791e-318j)  +/-  (1.48e-39, 1.73e-100j)
| (5.7323831678020605234e-16 + 3.534785825000105623e-323j)  +/-  (1.56e-45, 1.84e-106j)
| (5.7323831678020605234e-16 - 1.2922203229864854723e-322j)  +/-  (3.12e-44, 3.66e-105j)
| (7.6708888623998672024e-10 - 3.3714151024836102945e-319j)  +/-  (4.43e-41, 5.2e-102j)
| (4.0899772449921430072e-06 + 4.1100431619028918889e-318j)  +/-  (2.19e-42, 2.57e-103j)
| (0.0011676286374978573986 + 8.1765245551205991605e-317j)  +/-  (1.4e-40, 1.64e-101j)
| (0.038867183703481170587 + 5.6680735011088570168e-316j)  +/-  (3.76e-38, 4.42e-99j)
| (7.6708888623998672024e-10 + 4.8234200506556152006e-320j)  +/-  (1.35e-44, 1.58e-105j)
| (8.7750624838619654331e-08 - 5.5710802110062452883e-319j)  +/-  (1.08e-43, 1.27e-104j)
| (0.0085796783914656470926 - 8.4554768302531391304e-316j)  +/-  (2.85e-41, 3.34e-102j)
| (0.0085796783914656470926 - 2.4215506910348167961e-316j)  +/-  (4.9e-41, 5.76e-102j)
| (9.340818609031303466e-05 - 2.5599412237264938088e-316j)  +/-  (1.35e-42, 1.59e-103j)
| (9.340818609031303466e-05 - 2.1273957478772116612e-317j)  +/-  (1.63e-42, 1.91e-103j)
| (0.20995966957754246409 + 2.1582988559440539018e-315j)  +/-  (1.08e-40, 1.26e-101j)
| (0.038867183703481170587 + 1.3668570983287959304e-315j)  +/-  (2.1e-41, 2.47e-102j)
| (0.11207338260262085335 - 1.8762614627040251155e-315j)  +/-  (4.53e-41, 5.35e-102j)
| (0.11207338260262085335 - 1.0674172831833720002e-315j)  +/-  (3.28e-41, 3.74e-102j)
| (0.20995966957754246409 + 1.6379256560639454833e-315j)  +/-  (2.99e-41, 3.3e-102j)
| (0.25850974080883893779 - 2.066590309346179873e-315j)  +/-  (1.85e-41, 2.36e-102j)
