Starting with polynomial:
P : -t+1
Extension levels are: 1 12
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Trying to find an order 12 Kronrod extension for:
P1 : -t+1
Solvable: 1
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Ending with final polynomial:
P : -t^13 + 37224355585/237686449*t^12 - 2468138492808/237686449*t^11 + 8272452406152/21607859*t^10 - 187376591800200/21607859*t^9 + 2720658349834920/21607859*t^8 - 25662036400070400/21607859*t^7 + 22303717068568320/3086837*t^6 - 85254289816798080/3086837*t^5 + 194838480069552000/3086837*t^4 - 244575181481241600/3086837*t^3 + 145152650332800000/3086837*t^2 - 30066111333043200/3086837*t + 903692760652800/3086837
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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
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The nodes are:
| (38.937426968136891746 - 1.5080072820125707881e-263j)  +/-  (5.55e-122, 5.55e-122j)
| (10.75549873796297763 - 4.8234793723108246273e-273j)  +/-  (3.41e-121, 3.41e-121j)
| (7.8409072861975911497 + 2.6943821378443061051e-284j)  +/-  (1.28e-121, 1.28e-121j)
| (2.0644134167293851112 - 3.0261072829966872151e-298j)  +/-  (6.91e-124, 6.91e-124j)
| (18.520125530862481998 + 3.8114694248422964651e-320j)  +/-  (8.06e-121, 8.06e-121j)
| (30.168197606649840666 + 2.3723962443143852181e-344j)  +/-  (2.8e-121, 2.8e-121j)
| (14.275273496063530892 + 1.4455922034957583722e-364j)  +/-  (6.11e-121, 6.11e-121j)
| (23.689918348183558761 + 6.5448333098750027039e-373j)  +/-  (6.15e-121, 6.15e-121j)
| (3.5403726278167552622 + 1.0804674867352559535e-373j)  +/-  (5.08e-123, 5.08e-123j)
| (5.453557397605245127 - 1.47991740452500725e-379j)  +/-  (2.87e-122, 2.87e-122j)
| (1 + 4.8064302365118398429e-383j)  +/-  (6.7e-125, 6.7e-125j)
| (0.035919271737332898334 + 5.6054001802498462036e-383j)  +/-  (8.85e-128, 8.85e-128j)
| (0.32957073031018824595 + 2.0826212973516522433e-384j)  +/-  (3.28e-126, 3.28e-126j)
-------------------------------------------------
The weights are:
| (1.3178103785947970171e-16 + 9.936303301143507549e-280j)  +/-  (2.56e-54, 1.9e-114j)
| (6.8280480190003637415e-05 - 5.0542339556155466553e-275j)  +/-  (4.8e-48, 3.56e-108j)
| (0.0010385151860280075528 + 1.7868577222029685664e-274j)  +/-  (8.25e-47, 6.12e-107j)
| (0.16073184631722179046 - 1.8675269111837339266e-273j)  +/-  (2.62e-42, 1.94e-102j)
| (4.2226041094214861329e-08 - 1.7426080143375992789e-276j)  +/-  (3.85e-51, 2.86e-111j)
| (5.8208379307881933024e-13 - 1.5061131585186936296e-278j)  +/-  (7.65e-54, 5.67e-114j)
| (2.4357525030306345401e-06 + 1.0965442506116275761e-275j)  +/-  (1.4e-50, 1.04e-110j)
| (2.9519820844450026555e-10 + 1.9507325586858762008e-277j)  +/-  (1.13e-52, 8.41e-113j)
| (0.048999039603431306642 + 1.0771887612785599992e-273j)  +/-  (1.84e-48, 1.37e-108j)
| (0.0091741735006092687482 - 4.9330552120975081523e-274j)  +/-  (5.42e-49, 4.02e-109j)
| (0.31822481878508468953 + 2.5348785012735662979e-273j)  +/-  (1.14e-47, 8.4e-108j)
| (0.11797745254683007361 + 1.1264875745139272879e-273j)  +/-  (2.92e-48, 2.18e-108j)
| (0.34378339530628031096 - 2.5152696775831024248e-273j)  +/-  (4.86e-48, 3.55e-108j)
