Starting with polynomial:
P : 2*t
Extension levels are: 1 2 8
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Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 8 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^11 - 149/3*t^9 + 399*t^7 - 2457/2*t^5 + 10605/8*t^3 - 5355/16*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:   11 out of 11
Indefinite weights: 0 out of 11
Negative weights:   0 out of 11
Extension rule has valid weights: 1
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The nodes are:
| (3.5207882629582430588 + 6.4491610632644052017e-137j)  +/-  (9.06e-62, 9.06e-62j)
| (-3.5207882629582430588 - 6.8228429217478245135e-140j)  +/-  (1.07e-61, 1.07e-61j)
| (2.8029163332563412942e-145 - 4.0041661903662018489e-145j)  +/-  (5.38e-144, 5.38e-144j)
| (-2.6414479718130762063 + 7.8206370905589879861e-149j)  +/-  (1.92e-61, 1.92e-61j)
| (2.6414479718130762063 + 9.1648090904988140462e-151j)  +/-  (2.02e-61, 2.02e-61j)
| (1.2247448713915890491 - 3.5800035509760992368e-153j)  +/-  (3.71e-62, 3.71e-62j)
| (-1.2247448713915890491 + 5.9178728946290702919e-158j)  +/-  (3.18e-62, 3.18e-62j)
| (-0.59841605318147530927 - 1.08533142064701049e-165j)  +/-  (5.88e-63, 5.88e-63j)
| (1.8979025739610826354 + 1.6172698447808779627e-173j)  +/-  (9.68e-62, 9.68e-62j)
| (-1.8979025739610826354 + 7.0603121047936058137e-184j)  +/-  (9.57e-62, 9.57e-62j)
| (0.59841605318147530927 - 1.0959046745042015199e-193j)  +/-  (5.88e-63, 5.88e-63j)
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The weights are:
| (2.3417977747018329504e-06 - 5.67500695935951127e-142j)  +/-  (1.55e-29, 9.77e-60j)
| (2.3417977747018329504e-06 - 2.2048198266671197199e-143j)  +/-  (7.11e-30, 4.48e-60j)
| (0.33464052287581699346 + 3.9761596984368249906e-140j)  +/-  (8.65e-27, 5.2e-57j)
| (0.00041751146352803366757 + 4.1347533321722983464e-142j)  +/-  (9.25e-29, 5.81e-59j)
| (0.00041751146352803366757 + 2.8766532658031720199e-141j)  +/-  (4.54e-29, 2.82e-59j)
| (0.081442699243746364165 + 2.3729003243909757312e-140j)  +/-  (2.86e-27, 1.84e-57j)
| (0.081442699243746364165 + 1.1500144781560307396e-140j)  +/-  (9.41e-28, 6.27e-58j)
| (0.24000445687549162899 - 2.6915609424694704441e-140j)  +/-  (3.2e-27, 1.89e-57j)
| (0.010812729181550774617 - 9.893054370958199557e-141j)  +/-  (1.52e-28, 8.93e-59j)
| (0.010812729181550774617 - 2.9724824705591595952e-141j)  +/-  (1.13e-28, 7.81e-59j)
| (0.24000445687549162899 - 3.7910178448444030551e-140j)  +/-  (1.25e-27, 5.99e-58j)
