Starting with polynomial:
P : t
Extension levels are: 1 2 18
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P2 : t^3 - 3/4*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^21 - 21/4*t^19 + 189/16*t^17 - 119/8*t^15 + 735/64*t^13 - 5733/1024*t^11 + 7007/4096*t^9 - 1287/4096*t^7 + 2079/65536*t^5 - 385/262144*t^3 + 21/1048576*t
-------------------------------------------------
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
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   21 out of 21
Indefinite weights: 0 out of 21
Negative weights:   0 out of 21
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-0.99720379718118014823 + 1.2905883359961047394e-357j)  +/-  (1.53e-121, 1.53e-121j)
| (0.97492791218182360702 - 1.1621014533068487605e-355j)  +/-  (2.96e-121, 2.96e-121j)
| (-0.93087374864420425564 - 2.6171293906296375201e-367j)  +/-  (2.8e-121, 2.8e-121j)
| (-0.14904226617617444693 - 8.4402434468392569548e-369j)  +/-  (5.82e-127, 5.82e-127j)
| (0.93087374864420425564 + 1.855600647768564015e-366j)  +/-  (2.33e-121, 2.33e-121j)
| (0.68017273777091939019 + 2.5539459947699156413e-374j)  +/-  (8.64e-123, 8.64e-123j)
| (0.99720379718118014823 + 6.9019911598603870968e-378j)  +/-  (1.73e-121, 1.73e-121j)
| (-0.86602540378443864676 + 7.6332926768361602043e-386j)  +/-  (1.54e-121, 1.54e-121j)
| (-0.78183148246802980871 - 3.1117584083246268909e-386j)  +/-  (4.78e-122, 4.78e-122j)
| (0.56332005806362202775 - 4.7752931903086435104e-386j)  +/-  (1.26e-123, 1.26e-123j)
| (0.86602540378443864676 + 2.8390739701547059411e-398j)  +/-  (1.28e-121, 1.28e-121j)
| (0.14904226617617444693 + 1.9403897566882936961e-408j)  +/-  (4.73e-127, 4.73e-127j)
| (-0.43388373911755812048 - 2.3595644315598113585e-410j)  +/-  (1.15e-124, 1.15e-124j)
| (-0.56332005806362202775 + 6.8101468609582936239e-411j)  +/-  (1.29e-123, 1.29e-123j)
| (-2.2293045176445529746e-410 + 7.3227809397234804501e-411j)  +/-  (4.93e-409, 4.93e-409j)
| (0.78183148246802980871 + 2.7621206972928920329e-411j)  +/-  (4.48e-122, 4.48e-122j)
| (0.43388373911755812048 + 5.3322578198429919023e-416j)  +/-  (9.74e-125, 9.74e-125j)
| (-0.97492791218182360702 + 1.7700277782777850979e-419j)  +/-  (3.27e-121, 3.27e-121j)
| (-0.68017273777091939019 + 1.7125379022683094742e-423j)  +/-  (9.46e-123, 9.46e-123j)
| (-0.29475517441090421683 + 4.3898151591497551152e-427j)  +/-  (1.03e-125, 1.03e-125j)
| (0.29475517441090421683 + 4.3301538959526079186e-427j)  +/-  (1.19e-125, 1.19e-125j)
-------------------------------------------------
The weights are:
| (0.047619047619047619048 + 4.5446012526213609329e-357j)  +/-  (5.53e-46, 3.75e-104j)
| (0.047619047619047619048 + 5.4385754840770502162e-356j)  +/-  (1.91e-46, 1.3e-104j)
| (0.047619047619047619048 - 2.3771101683661992373e-358j)  +/-  (1.46e-46, 9.94e-105j)
| (0.047619047619047619048 + 2.091990416053287345e-356j)  +/-  (1.96e-47, 1.33e-105j)
| (0.047619047619047619048 - 2.0608058995029477691e-355j)  +/-  (9.41e-47, 6.39e-105j)
| (0.047619047619047619048 + 6.1488812238671957722e-356j)  +/-  (2.1e-47, 1.43e-105j)
| (0.047619047619047619048 + 8.3459314305960998725e-356j)  +/-  (5.64e-47, 3.83e-105j)
| (0.047619047619047619048 + 3.6197227409700309439e-357j)  +/-  (7.62e-48, 5.18e-106j)
| (0.047619047619047619048 - 6.4454003785277615752e-357j)  +/-  (4.41e-48, 3e-106j)
| (0.047619047619047619048 - 4.9484720261419135543e-356j)  +/-  (3.59e-48, 2.44e-106j)
| (0.047619047619047619048 + 1.1395825038702070388e-355j)  +/-  (6.6e-48, 4.48e-106j)
| (0.047619047619047619048 + 2.9065844601304496452e-356j)  +/-  (6.24e-49, 4.24e-107j)
| (0.047619047619047619048 + 1.4588851536655825168e-356j)  +/-  (1.93e-49, 1.32e-107j)
| (0.047619047619047619048 - 1.1791695252959969404e-356j)  +/-  (1.21e-49, 8.28e-108j)
| (0.047619047619047619048 - 2.4683604785367717548e-356j)  +/-  (2.75e-49, 1.85e-107j)
| (0.047619047619047619048 - 8.0010571450189922806e-356j)  +/-  (2.91e-49, 1.96e-107j)
| (0.047619047619047619048 + 4.0894705392156649433e-356j)  +/-  (1.16e-49, 7.88e-108j)
| (0.047619047619047619048 - 5.3769592985468886558e-357j)  +/-  (1.26e-50, 8.82e-109j)
| (0.047619047619047619048 + 9.112942921216547508e-357j)  +/-  (3.5e-50, 2.44e-108j)
| (0.047619047619047619048 - 1.759767832706381586e-356j)  +/-  (2.76e-50, 1.99e-108j)
| (0.047619047619047619048 - 3.4329773656675338153e-356j)  +/-  (2.19e-50, 1.32e-108j)
