Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 3 4 8
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Trying to find an order 3 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
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Trying to find an order 4 Kronrod extension for:
P2 : t^5 - 7*t^3 + 6*t
Solvable: 1
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Trying to find an order 8 Kronrod extension for:
P3 : t^9 - 71/3*t^7 + 1399/9*t^5 - 2965/9*t^3 + 590/3*t
Solvable: 1
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Ending with final polynomial:
P : t^17 - 1529814253969/16753860777*t^15 + 159113012962007/50261582331*t^13 - 8081473967104151/150784746993*t^11 + 71537082906692561/150784746993*t^9 - 36627085158415339/16753860777*t^7 + 83781328830792607/16753860777*t^5 - 88756606077394045/16753860777*t^3 + 11500071526304270/5584620259*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
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The nodes are:
| (-5.8511016297812679182 - 1.1199164754192810438e-152j)  +/-  (1.5e-60, 1.5e-60j)
| (-3.7932353000477464006 - 4.8926715196673356236e-152j)  +/-  (9.26e-60, 9.26e-60j)
| (-4.6841166119510901872 - 5.2954219191521467877e-153j)  +/-  (6.15e-60, 6.15e-60j)
| (3.1758615746076673391 + 1.1070974522875306885e-155j)  +/-  (7.47e-60, 7.47e-60j)
| (5.8511016297812679182 - 7.4546031907868593591e-174j)  +/-  (1.53e-60, 1.53e-60j)
| (4.6841166119510901872 + 2.045468025151793351e-185j)  +/-  (5.65e-60, 5.65e-60j)
| (-3.1758615746076673391 + 7.7055797426076669366e-195j)  +/-  (7.15e-60, 7.15e-60j)
| (-3.3444356521734665524e-196 + 1.2575078052172234237e-195j)  +/-  (2.21e-194, 2.21e-194j)
| (-1.5093152835436173382 + 3.2106582260865278903e-196j)  +/-  (1.17e-60, 1.17e-60j)
| (-1.175604294567460207 + 2.2742162434779572556e-195j)  +/-  (7.64e-61, 7.64e-61j)
| (3.7932353000477464006 - 9.3853225489117905126e-197j)  +/-  (1.06e-59, 1.06e-59j)
| (1.5093152835436173382 + 7.7823858178169807317e-201j)  +/-  (1.02e-60, 1.02e-60j)
| (1 - 1.6346199719800010758e-203j)  +/-  (2.9e-61, 2.9e-61j)
| (-1 - 2.1803238955525928984e-205j)  +/-  (3.29e-61, 3.29e-61j)
| (2.4494897427831780982 - 1.6352429216644446738e-205j)  +/-  (2.45e-60, 2.45e-60j)
| (-2.4494897427831780982 + 4.7147070844119963623e-209j)  +/-  (2.2e-60, 2.2e-60j)
| (1.175604294567460207 + 3.4371735518616489609e-208j)  +/-  (7.69e-61, 7.69e-61j)
-------------------------------------------------
The weights are:
| (1.9850617042183012248e-08 + 2.9492203981393258612e-159j)  +/-  (2.83e-21, 7.58e-51j)
| (0.00021953473771057293717 - 3.6384980736761183741e-155j)  +/-  (9.69e-19, 2.6e-48j)
| (7.0382419279723863501e-06 - 7.2823791384529016688e-157j)  +/-  (6.55e-20, 1.75e-49j)
| (0.0015587024182791669632 + 7.7000569075721942989e-156j)  +/-  (1.1e-19, 2.93e-49j)
| (1.9850617042183012248e-08 - 8.818708200136032262e-160j)  +/-  (6.22e-24, 1.67e-53j)
| (7.0382419279723863501e-06 + 6.1239130354602937391e-158j)  +/-  (1.82e-22, 4.89e-52j)
| (0.0015587024182791669632 + 8.9066370051354730884e-155j)  +/-  (4.86e-20, 1.3e-49j)
| (0.35598291617783353509 - 4.3345738514196666233e-154j)  +/-  (3.9e-17, 1.04e-46j)
| (0.18287110361162750879 + 1.289362920976876669e-153j)  +/-  (8.42e-18, 2.25e-47j)
| (-0.40642209347729095066 - 3.8809305618241358979e-153j)  +/-  (2.54e-17, 6.8e-47j)
| (0.00021953473771057293717 - 1.3617873238761924609e-156j)  +/-  (1.48e-21, 3.95e-51j)
| (0.18287110361162750879 + 5.5225627134184218174e-154j)  +/-  (3.81e-19, 1.02e-48j)
| (0.52731461699811279846 + 1.706339604835317505e-153j)  +/-  (1.62e-18, 4.36e-48j)
| (0.52731461699811279846 + 2.9379660884483552227e-153j)  +/-  (2.55e-18, 6.98e-48j)
| (0.016459619530099121395 - 3.3940480037285348476e-155j)  +/-  (9e-21, 2.42e-50j)
| (0.016459619530099121395 - 1.597374783203418068e-154j)  +/-  (1.02e-20, 2.9e-50j)
| (-0.40642209347729095066 - 2.0362137077430388505e-153j)  +/-  (6.15e-19, 1.6e-48j)
