Starting with polynomial:
P : 64*t^6 - 480*t^4 + 720*t^2 - 120
Extension levels are: 6 14
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Trying to find an order 14 Kronrod extension for:
P1 : 64*t^6 - 480*t^4 + 720*t^2 - 120
Solvable: 1
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Ending with final polynomial:
P : 64*t^20 - 25283728/5315*t^18 + 147937112/1063*t^16 - 2201429754/1063*t^14 + 18003002199/1063*t^12 - 163469220915/2126*t^10 + 794720043117/4252*t^8 - 1891476081495/8504*t^6 + 1837014244065/17008*t^4 - 476939117655/34016*t^2 + 4347968625/68032
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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: 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:   20 out of 20
Indefinite weights: 0 out of 20
Negative weights:   0 out of 20
Extension rule has valid weights: 1
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The nodes are:
| (4.9619344087301973746 - 1.2500981532034116325e-227j)  +/-  (4.3e-60, 4.3e-60j)
| (3.5041473794218466314 + 6.4669133646755218415e-229j)  +/-  (2.28e-59, 2.28e-59j)
| (-4.9619344087301973746 - 4.5329584466039825657e-230j)  +/-  (4.42e-60, 4.42e-60j)
| (-2.3506049736744922228 + 4.4306485982275202871e-233j)  +/-  (9.8e-60, 9.8e-60j)
| (-3.5041473794218466314 - 2.8563825396181745418e-236j)  +/-  (2.27e-59, 2.27e-59j)
| (2.3506049736744922228 - 1.0893797656137863256e-236j)  +/-  (1.15e-59, 1.15e-59j)
| (4.1686771184944077823 + 2.1708111381139258071e-239j)  +/-  (1.7e-59, 1.7e-59j)
| (0.068766183948370124411 - 1.0779070849874847488e-241j)  +/-  (6.33e-64, 6.33e-64j)
| (-0.87136133381807472548 + 1.559684686451456193e-239j)  +/-  (1.19e-61, 1.19e-61j)
| (1.3358490740136969497 - 1.2091305562033524573e-240j)  +/-  (7.96e-61, 7.96e-61j)
| (0.87136133381807472548 - 3.1048410600182984611e-242j)  +/-  (1.17e-61, 1.17e-61j)
| (-1.8286885246035312599 - 4.4394101241417298162e-244j)  +/-  (3.7e-60, 3.7e-60j)
| (1.8286885246035312599 - 1.8157119472178819042e-248j)  +/-  (3.64e-60, 3.64e-60j)
| (-2.9057039817996476371 + 1.1243447057772268715e-247j)  +/-  (2.48e-59, 2.48e-59j)
| (-4.1686771184944077823 + 1.2920383958092802833e-254j)  +/-  (1.6e-59, 1.6e-59j)
| (0.43607741192761650868 + 1.2695609237172373918e-256j)  +/-  (1.41e-62, 1.41e-62j)
| (2.9057039817996476371 + 1.4152482428323302073e-256j)  +/-  (2.03e-59, 2.03e-59j)
| (-0.068766183948370124411 - 3.5822251665785586947e-260j)  +/-  (1.08e-63, 1.08e-63j)
| (-0.43607741192761650868 - 8.2518208092533040003e-259j)  +/-  (1.41e-62, 1.41e-62j)
| (-1.3358490740136969497 + 2.6050922712402251146e-263j)  +/-  (8.08e-61, 8.08e-61j)
-------------------------------------------------
The weights are:
| (1.0423450108792484403e-11 + 1.4190729539947137874e-237j)  +/-  (7.56e-24, 1.71e-53j)
| (1.641639681587260716e-06 - 4.4466603501901820292e-234j)  +/-  (4.42e-21, 1e-50j)
| (1.0423450108792484403e-11 + 1.0418182488195002057e-238j)  +/-  (6.55e-25, 1.48e-54j)
| (0.0012081544070138637274 + 1.2575924039479510522e-233j)  +/-  (1.23e-19, 2.78e-49j)
| (1.641639681587260716e-06 + 1.3447661728952964997e-235j)  +/-  (2.03e-22, 4.59e-52j)
| (0.0012081544070138637274 - 6.6211180361977420019e-233j)  +/-  (3.24e-20, 7.32e-50j)
| (1.1393410819758348156e-08 - 9.1485124807584256006e-236j)  +/-  (1.38e-23, 3.12e-53j)
| (0.12889606437556600666 + 1.8428435142645813377e-230j)  +/-  (3.91e-17, 8.98e-47j)
| (0.11886210945008991277 - 1.2125807629086441567e-231j)  +/-  (1.84e-17, 4.19e-47j)
| (0.045342515811038977177 - 7.3396071324706787071e-232j)  +/-  (5.52e-18, 1.25e-47j)
| (0.11886210945008991277 + 2.0430617821956796103e-231j)  +/-  (1.08e-17, 2.47e-47j)
| (0.010095985080654178925 - 7.1633177875235115161e-233j)  +/-  (4.96e-20, 1.12e-49j)
| (0.010095985080654178925 + 2.3461875315375660971e-232j)  +/-  (2.55e-19, 5.77e-49j)
| (6.9794403591943936003e-05 - 1.574275741294477749e-234j)  +/-  (3.38e-22, 7.66e-52j)
| (1.1393410819758348156e-08 - 6.3337053838657556733e-237j)  +/-  (1.02e-24, 2.32e-54j)
| (0.19552372342852925967 - 5.5967779578876593199e-231j)  +/-  (1.76e-18, 4.28e-48j)
| (6.9794403591943936003e-05 + 1.8310869145088829637e-233j)  +/-  (1.77e-22, 3.9e-52j)
| (0.12889606437556600666 - 1.7700223691413694486e-230j)  +/-  (2.08e-18, 5.06e-48j)
| (0.19552372342852925967 + 4.3285111345329614824e-231j)  +/-  (2.49e-19, 6.58e-49j)
| (0.045342515811038977177 + 3.2185663303110665176e-232j)  +/-  (2.59e-20, 5.03e-50j)
