Starting with polynomial:
P : 1/24*t^4 - 2/3*t^3 + 3*t^2 - 4*t + 1
Extension levels are: 4 8
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Trying to find an order 8 Kronrod extension for:
P1 : 1/24*t^4 - 2/3*t^3 + 3*t^2 - 4*t + 1
Solvable: 1
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Ending with final polynomial:
P : 1/24*t^12 - 381335062/82729245*t^11 + 87230680367/413646225*t^10 - 2160818771668/413646225*t^9 + 2126466325051/27576415*t^8 - 97112179256768/137882075*t^7 + 552615268232608/137882075*t^6 - 1927933730986368/137882075*t^5 + 792526186186224/27576415*t^4 - 178548847169280/5515283*t^3 + 484872023567232/27576415*t^2 - 99066799544832/27576415*t + 4117291581312/27576415
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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:
| (30.916360466131549563 - 1.0101213448568621849e-163j)  +/-  (9.5e-59, 9.5e-59j)
| (23.00292171978362027 + 1.1613046200923012243e-163j)  +/-  (3.64e-58, 3.64e-58j)
| (17.299326224962559595 - 1.114478504697589385e-165j)  +/-  (6.56e-58, 6.56e-58j)
| (12.882604855452105548 - 1.3767621557666806265e-174j)  +/-  (7.73e-58, 7.73e-58j)
| (2.9408027841301596038 - 3.0254540542806974913e-183j)  +/-  (1.88e-59, 1.88e-59j)
| (9.3950709123011331292 - 4.1534787163709237603e-190j)  +/-  (4.52e-58, 4.52e-58j)
| (4.5366202969211279833 + 2.4694607388753496682e-197j)  +/-  (7.81e-59, 7.81e-59j)
| (6.652162002706361476 - 4.1291708819930871367e-208j)  +/-  (2.32e-58, 2.32e-58j)
| (1.7457611011583465757 + 7.501379352136825342e-216j)  +/-  (3.38e-60, 3.38e-60j)
| (0.3225476896193923118 + 4.9726980657077362161e-220j)  +/-  (2.92e-62, 2.92e-62j)
| (0.87737204158558530207 - 1.7803633656235864517e-222j)  +/-  (3.21e-61, 3.21e-61j)
| (0.054885429952774611684 - 2.2330524952932407837e-224j)  +/-  (1.09e-63, 1.09e-63j)
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The weights are:
| (3.6585383828910230983e-13 - 1.3422160525927000118e-175j)  +/-  (9.75e-25, 2.15e-53j)
| (6.7124643228024179925e-10 - 4.3179192262516262e-173j)  +/-  (1.82e-23, 4.03e-52j)
| (1.5273019162633196975e-07 + 4.2280544673092288159e-172j)  +/-  (1.34e-22, 2.95e-51j)
| (9.9441867854633466323e-06 - 2.795232883389157138e-171j)  +/-  (6.22e-22, 1.37e-50j)
| (0.072717337433281009775 - 7.241124883656424603e-169j)  +/-  (1.31e-18, 2.9e-47j)
| (0.00025706865287381379034 + 1.6271791923994915373e-170j)  +/-  (1.57e-21, 3.47e-50j)
| (0.019665111863536452452 + 2.7444674636772731437e-169j)  +/-  (2.34e-20, 5.16e-49j)
| (0.0031146640874548834021 - 7.6363721469246156883e-170j)  +/-  (4.6e-21, 1.02e-49j)
| (0.17910227771575711069 + 1.3850212107036898681e-168j)  +/-  (1.21e-19, 2.67e-48j)
| (0.29157969580546772812 + 1.8367822152149133861e-168j)  +/-  (9.62e-20, 2.05e-48j)
| (0.29564053571617120395 - 1.936008326309501196e-168j)  +/-  (7.06e-20, 1.59e-48j)
| (0.13791321113686842202 - 7.7362168721540966096e-169j)  +/-  (4.86e-20, 1.01e-48j)
