Starting with polynomial:
P : 2*t
Extension levels are: 1 2 4 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 4 Kronrod extension for:
P2 : 2*t^3 - 1*t
Solvable: 1
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Trying to find an order 8 Kronrod extension for:
P3 : 2*t^7 - 3*t^5 + 5/4*t^3 - 1/8*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^15 - 7*t^13 + 39/4*t^11 - 55/8*t^9 + 165/64*t^7 - 63/128*t^5 + 21/512*t^3 - 1/1024*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:
| (0.98078528040323044913 + 3.7023758253598237563e-208j)  +/-  (3.81e-60, 3.81e-60j)
| (-0.98078528040323044913 + 4.3962742470575570919e-211j)  +/-  (3.86e-60, 3.86e-60j)
| (-0.92387953251128675613 + 1.4234399895950850302e-212j)  +/-  (9.8e-60, 9.8e-60j)
| (0.55557023301960222474 + 1.4243102402510428976e-213j)  +/-  (4.64e-61, 4.64e-61j)
| (0.83146961230254523708 + 3.00990013657302754e-217j)  +/-  (6.47e-60, 6.47e-60j)
| (0.7071067811865475244 + 1.1338070768575971489e-225j)  +/-  (2.14e-60, 2.14e-60j)
| (-0.19509032201612826785 - 1.0064294952495520794e-233j)  +/-  (2.45e-63, 2.45e-63j)
| (-0.83146961230254523708 + 7.1896807066889876673e-231j)  +/-  (6.43e-60, 6.43e-60j)
| (-0.38268343236508977173 - 9.2878503223713546391e-234j)  +/-  (4.05e-62, 4.05e-62j)
| (0.38268343236508977173 - 3.2394449378344957556e-233j)  +/-  (4.68e-62, 4.68e-62j)
| (0.92387953251128675613 - 8.5107794188577056686e-239j)  +/-  (7.26e-60, 7.26e-60j)
| (0.19509032201612826785 + 1.1670614243877743331e-244j)  +/-  (2.45e-63, 2.45e-63j)
| (-0.55557023301960222474 + 2.1382395979371300723e-241j)  +/-  (3.85e-61, 3.85e-61j)
| (-0.7071067811865475244 - 1.1342921702755529048e-241j)  +/-  (1.87e-60, 1.87e-60j)
| (-7.5096086035976910364e-272 - 7.1399047954205739393e-272j)  +/-  (1.55e-270, 1.55e-270j)
-------------------------------------------------
The weights are:
| (0.002378764609022288871 - 3.4042311476108053981e-209j)  +/-  (3.29e-17, 7.45e-46j)
| (0.002378764609022288871 - 4.079651212143398315e-211j)  +/-  (1.33e-17, 3.02e-46j)
| (0.0091529130879203898625 + 1.7097162531882499529e-210j)  +/-  (1.24e-17, 2.8e-46j)
| (0.043208857261409055367 - 3.7610366455081060597e-209j)  +/-  (3.66e-18, 8.28e-47j)
| (0.019291142738590944633 - 4.7828977848896615602e-209j)  +/-  (1.38e-18, 3.11e-47j)
| (0.03125 + 4.2267445914529262251e-209j)  +/-  (1.91e-18, 4.32e-47j)
| (0.060121235390977711129 - 1.8897491406607876116e-209j)  +/-  (9.26e-20, 2.09e-48j)
| (0.019291142738590944633 - 3.8873083816625749459e-210j)  +/-  (3.68e-20, 8.33e-49j)
| (0.053347086912079610138 + 1.4448190381065082712e-209j)  +/-  (3.66e-20, 8.28e-49j)
| (0.053347086912079610138 + 3.3006785022611326942e-209j)  +/-  (3.87e-20, 8.74e-49j)
| (0.0091529130879203898625 + 5.9548188285320116371e-209j)  +/-  (2.56e-20, 5.79e-49j)
| (0.060121235390977711129 - 2.8309037221057069253e-209j)  +/-  (1.08e-20, 2.45e-49j)
| (0.043208857261409055367 - 1.0369708850228526559e-209j)  +/-  (2.81e-21, 6.43e-50j)
| (0.03125 + 6.8065473659485621352e-210j)  +/-  (2.1e-21, 4.78e-50j)
| (0.0625 + 2.3566293538193516522e-209j)  +/-  (2.55e-21, 5.6e-50j)
