Starting with polynomial:
P : -t+1
Extension levels are: 1 16
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Trying to find an order 16 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^17 + 1415200955980289/5066513855745*t^16 - 174870964179234944/5066513855745*t^15 + 842981029964964480/337767590383*t^14 - 39768754712653957760/337767590383*t^13 + 1292222636747433372800/337767590383*t^12 - 29766272740971911359488/337767590383*t^11 + 492974780885808004912128/337767590383*t^10 - 5892728447756626418342400/337767590383*t^9 + 50609449209965874977548800/337767590383*t^8 - 308379791296781518016102400/337767590383*t^7 + 1304554206803571852056248320/337767590383*t^6 - 3706249848037169007940485120/337767590383*t^5 + 6728532837814658576369664000/337767590383*t^4 - 7233899567670496508755968000/337767590383*t^3 + 4066828392417401358139392000/337767590383*t^2 - 948329261058126202756300800/337767590383*t + 51761848471288356822220800/337767590383
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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: 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
-------------------------------------------------
The nodes are:
| (54.074741488019344622 - 6.9720041116498821422e-277j)  +/-  (1.73e-120, 1.73e-120j)
| (36.708423158668974707 - 1.9226362859133577542e-288j)  +/-  (3.88e-119, 3.88e-119j)
| (44.182185842765535004 + 2.0410642650937254073e-313j)  +/-  (1.1e-119, 1.1e-119j)
| (30.592889525963027647 - 6.3931600452137419433e-340j)  +/-  (6.74e-119, 6.74e-119j)
| (25.421317965019642176 - 3.481580338327580732e-358j)  +/-  (8.9e-119, 8.9e-119j)
| (8.40167411551064343 - 2.6434882754567095255e-363j)  +/-  (4.18e-120, 4.18e-120j)
| (17.127757683734971534 + 6.8708770692954810725e-364j)  +/-  (7.52e-119, 7.52e-119j)
| (13.787064063137501022 - 1.513343112613838405e-371j)  +/-  (3.88e-119, 3.88e-119j)
| (20.976784254692541914 - 5.1111017063764884015e-381j)  +/-  (9.71e-119, 9.71e-119j)
| (3.0323040543749789263 - 1.8292916836974038529e-391j)  +/-  (2.85e-122, 2.85e-122j)
| (1 + 3.2361582074829163274e-394j)  +/-  (2.49e-124, 2.49e-124j)
| (6.2777901573338201332 + 1.8648585411116996416e-389j)  +/-  (9.87e-121, 9.87e-121j)
| (10.893378293963433714 + 4.215206839089129369e-391j)  +/-  (1.28e-119, 1.28e-119j)
| (0.076493550003495643383 + 4.4721134032964088338e-406j)  +/-  (3.76e-127, 3.76e-127j)
| (4.4950927694301305286 - 2.0707479701476664223e-399j)  +/-  (1.99e-121, 1.99e-121j)
| (0.40444953880009195275 + 3.142778290236402467e-406j)  +/-  (1.24e-125, 1.24e-125j)
| (1.8720561306265541654 + 1.217902636045116339e-402j)  +/-  (3.06e-123, 3.06e-123j)
-------------------------------------------------
The weights are:
| (3.9244827778674917994e-23 + 1.3657226449296242314e-299j)  +/-  (3.67e-50, 2.67e-109j)
| (7.6506613402295021246e-16 + 6.8083367384414629311e-297j)  +/-  (7.23e-48, 5.27e-107j)
| (5.4463226176664316657e-19 - 3.2249042189868243197e-298j)  +/-  (4.71e-49, 3.43e-108j)
| (2.8947812733427714123e-13 - 9.6683448060699600449e-296j)  +/-  (2.7e-47, 1.96e-106j)
| (4.356921230573392681e-11 + 9.5722881870968073449e-295j)  +/-  (7.61e-47, 5.54e-106j)
| (0.00051696172719360796931 - 1.772019920555155955e-291j)  +/-  (2.55e-43, 1.86e-102j)
| (1.3054020881042496551e-07 + 3.8979886168833063609e-293j)  +/-  (3.73e-46, 2.71e-105j)
| (3.1982538297690435202e-06 - 1.7192185080028842961e-292j)  +/-  (1.07e-45, 7.77e-105j)
| (3.2046826240698073441e-09 - 6.9760263757232023431e-294j)  +/-  (6.18e-47, 4.5e-106j)
| (0.06309461499054997423 + 1.3419367678626861219e-290j)  +/-  (4.02e-43, 2.93e-102j)
| (0.26931644072477443439 + 1.7528653858580663959e-290j)  +/-  (5.77e-43, 4.21e-102j)
| (0.0036600044835169606251 + 4.2299697326618881292e-291j)  +/-  (1.18e-44, 8.6e-104j)
| (4.9912532681036980519e-05 + 6.108171253192045206e-292j)  +/-  (1.48e-45, 1.07e-104j)
| (0.18200195726125653043 + 4.2267560782298547268e-291j)  +/-  (8.26e-44, 6.07e-103j)
| (0.018080203941502646322 - 8.3224918548379506797e-291j)  +/-  (1.78e-44, 1.3e-103j)
| (0.30731847088060460214 - 1.2351379890782305529e-290j)  +/-  (7.53e-44, 5.63e-103j)
| (0.15595810141533954733 - 1.7430621861110073796e-290j)  +/-  (5.13e-44, 3.66e-103j)
