Starting with polynomial:
P : 2*t
Extension levels are: 1 2 4
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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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Ending with final polynomial:
P : 2*t^7 - 3*t^5 + 5/4*t^3 - 1/8*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:   7 out of 7
Indefinite weights: 0 out of 7
Negative weights:   0 out of 7
Extension rule has valid weights: 1
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The nodes are:
| (0.92387953251128675613 - 1.2634920662350609083e-175j)  +/-  (7.16e-63, 7.16e-63j)
| (-0.7071067811865475244 - 9.4137494730581410849e-184j)  +/-  (1.24e-62, 1.24e-62j)
| (-0.92387953251128675613 + 4.1096425293907556995e-194j)  +/-  (7.02e-63, 7.02e-63j)
| (-0.38268343236508977173 - 1.7542263113931718862e-203j)  +/-  (2.01e-63, 2.01e-63j)
| (0.38268343236508977173 - 2.5991486257941638212e-213j)  +/-  (2.01e-63, 2.01e-63j)
| (0.7071067811865475244 + 2.1612908839133067699e-223j)  +/-  (9.8e-63, 9.8e-63j)
| (3.0192884857486562382e-233 - 6.4411487695971333082e-232j)  +/-  (4.51e-231, 4.51e-231j)
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The weights are:
| (0.018305826175840779725 + 2.188714612590892908e-176j)  +/-  (1.87e-27, 2.29e-58j)
| (0.0625 - 4.8417485488448564611e-177j)  +/-  (8.14e-28, 1e-58j)
| (0.018305826175840779725 + 1.2517467838735264539e-177j)  +/-  (3.82e-28, 4.67e-59j)
| (0.10669417382415922028 + 1.031769993557970213e-176j)  +/-  (3.21e-28, 4.01e-59j)
| (0.10669417382415922028 + 2.490913046171253849e-176j)  +/-  (1.53e-28, 1.83e-59j)
| (0.0625 - 3.6429050121514803049e-176j)  +/-  (8.81e-29, 1.01e-59j)
| (0.125 - 1.7094924636715036644e-176j)  +/-  (1.07e-28, 1.38e-59j)
