Starting with polynomial:
P : 64*t^6 - 480*t^4 + 720*t^2 - 120
Extension levels are: 6 11
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Trying to find an order 11 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^17 - 451040/133*t^15 + 9066480/133*t^13 - 88569480/133*t^11 + 64076100/19*t^9 - 1165407210/133*t^7 + 206140275/19*t^5 - 204491925/38*t^3 + 13053150/19*t
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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:   17 out of 17
Indefinite weights: 0 out of 17
Negative weights:   0 out of 17
Extension rule has valid weights: 1
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The nodes are:
| (-4.4304805162459219599 + 6.8018531006945727735e-228j)  +/-  (1.6e-60, 1.6e-60j)
| (-2.9458567752864569716 - 1.2109359686842610619e-228j)  +/-  (5.8e-60, 5.8e-60j)
| (2.3506049736744922228 + 7.8627304316371256204e-236j)  +/-  (4.36e-60, 4.36e-60j)
| (-2.3506049736744922228 + 9.4668361377161704023e-241j)  +/-  (4.16e-60, 4.16e-60j)
| (-3.6195607511217542064 + 5.9039577939616819205e-243j)  +/-  (5.18e-60, 5.18e-60j)
| (-1.8176330888619990975 + 2.5336674687885171405e-242j)  +/-  (1.87e-60, 1.87e-60j)
| (1.8176330888619990975 + 1.0837652756667645572e-242j)  +/-  (1.88e-60, 1.88e-60j)
| (-0.88118215051618844483 + 6.2572227104123930238e-248j)  +/-  (1.08e-61, 1.08e-61j)
| (3.6195607511217542064 + 2.4256570781392956728e-244j)  +/-  (4.74e-60, 4.74e-60j)
| (1.3094076542436648348e-250 - 3.273519135609162087e-251j)  +/-  (2.29e-249, 2.29e-249j)
| (1.3358490740136969497 + 8.9388895863034186054e-248j)  +/-  (6.06e-61, 6.06e-61j)
| (2.9458567752864569716 - 1.2875841933396037542e-250j)  +/-  (6.38e-60, 6.38e-60j)
| (-0.43607741192761650868 - 3.1634960722134439927e-256j)  +/-  (9.66e-63, 9.66e-63j)
| (-1.3358490740136969497 + 1.3319983461951343127e-254j)  +/-  (6.03e-61, 6.03e-61j)
| (4.4304805162459219599 + 2.1311973539122149004e-255j)  +/-  (1.55e-60, 1.55e-60j)
| (0.88118215051618844483 - 1.3319983461951343127e-256j)  +/-  (1.02e-61, 1.02e-61j)
| (0.43607741192761650868 + 4.4658724649832430536e-264j)  +/-  (9.66e-63, 9.66e-63j)
-------------------------------------------------
The weights are:
| (1.5712128594636582856e-09 + 1.3142340538843165357e-235j)  +/-  (2.13e-22, 8.04e-52j)
| (6.0523913147315706428e-05 - 2.8111509524321478999e-232j)  +/-  (6.64e-20, 2.51e-49j)
| (0.0012650679204111914016 + 1.0777050855385438277e-232j)  +/-  (4.8e-20, 1.81e-49j)
| (0.0012650679204111914016 + 1.0068315691822346039e-231j)  +/-  (5.75e-19, 2.17e-48j)
| (8.3606736538213735258e-07 - 7.6356380023622295722e-234j)  +/-  (2.26e-21, 8.56e-51j)
| (0.010460290363261914121 - 2.7213770144195142372e-231j)  +/-  (2.59e-18, 9.79e-48j)
| (0.010460290363261914121 - 6.2377507739346004129e-232j)  +/-  (1.2e-19, 4.54e-49j)
| (0.11655691774481518683 - 1.0930154453941929798e-230j)  +/-  (1.1e-18, 4.13e-48j)
| (8.3606736538213735258e-07 + 6.7153113543423548791e-235j)  +/-  (3.75e-24, 1.42e-53j)
| (0.2445912070485449325 - 1.4314213623482250702e-230j)  +/-  (5.07e-19, 1.91e-48j)
| (0.0439003320208236933 + 2.3114886936182091288e-231j)  +/-  (1.35e-19, 5.1e-49j)
| (6.0523913147315706428e-05 - 1.1509946713524785511e-233j)  +/-  (7.34e-23, 2.77e-52j)
| (0.20546042687468999079 + 1.4387555694998577827e-230j)  +/-  (2.51e-19, 9.45e-49j)
| (0.0439003320208236933 + 6.2846468152577930995e-231j)  +/-  (2.51e-20, 9.48e-50j)
| (1.5712128594636582856e-09 - 1.4278398641951997907e-236j)  +/-  (5.08e-26, 1.92e-55j)
| (0.11655691774481518683 - 5.8157982286652876763e-231j)  +/-  (1.45e-20, 5.51e-50j)
| (0.20546042687468999079 + 1.0606497120108694504e-230j)  +/-  (3.04e-20, 1.12e-49j)
