Starting with polynomial:
P : 2*t
Extension levels are: 1 4 10
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Trying to find an order 4 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : 2*t^5 - 10*t^3 + 15/2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^15 - 1805/21*t^13 + 169685/126*t^11 - 2447225/252*t^9 + 268675/8*t^7 - 846835/16*t^5 + 1039225/32*t^3 - 327525/64*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
  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:   15 out of 15
Indefinite weights: 0 out of 15
Negative weights:   0 out of 15
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-8.7034983613809997299e-316 + 3.8336838020368689287e-316j)  +/-  (1.43e-314, 1.43e-314j)
| (1.4594230210196350585 + 1.3833838083554903237e-321j)  +/-  (4.22e-125, 4.22e-125j)
| (2.6436261790465342931 + 6.4846116016663608923e-324j)  +/-  (3.07e-124, 3.07e-124j)
| (4.1771961071723433645 + 4.6318654297616863517e-324j)  +/-  (8.46e-125, 8.46e-125j)
| (-0.48488888867740967968 + 2.6536729024676328056e-326j)  +/-  (1.03e-126, 1.03e-126j)
| (-4.1771961071723433645 + 2.5031316218677733096e-330j)  +/-  (9.05e-125, 9.05e-125j)
| (0.95857246461381850711 + 1.1779442926436580281e-330j)  +/-  (7.95e-126, 7.95e-126j)
| (2.0201828704560856329 - 3.4150606628768161825e-333j)  +/-  (1.73e-124, 1.73e-124j)
| (0.48488888867740967968 + 1.3340080714362563213e-336j)  +/-  (1.03e-126, 1.03e-126j)
| (3.3426682448651147193 + 2.6783352328576666607e-343j)  +/-  (2.55e-124, 2.55e-124j)
| (-2.0201828704560856329 - 7.969112507731409168e-357j)  +/-  (1.58e-124, 1.58e-124j)
| (-3.3426682448651147193 - 2.3109121396784372725e-374j)  +/-  (2.8e-124, 2.8e-124j)
| (-2.6436261790465342931 + 4.1944686868233602056e-395j)  +/-  (3.24e-124, 3.24e-124j)
| (-1.4594230210196350585 + 1.8504443614405550378e-418j)  +/-  (5.34e-125, 5.34e-125j)
| (-0.95857246461381850711 - 1.1915554427982776553e-433j)  +/-  (7.95e-126, 7.95e-126j)
-------------------------------------------------
The weights are:
| (0.27617230236877592041 + 1.6887027762638206051e-322j)  +/-  (1.84e-47, 3.37e-109j)
| (0.035483974311256561392 - 1.4458562068182620785e-317j)  +/-  (1.58e-47, 2.88e-109j)
| (0.00034173076459021540646 - 2.8920560240541772555e-319j)  +/-  (2.07e-51, 3.79e-113j)
| (1.4257989553391546533e-08 - 4.8585556064891904601e-322j)  +/-  (1.22e-54, 2.24e-116j)
| (0.2127854784466585195 + 1.87516425944027671e-316j)  +/-  (2.23e-48, 4.07e-110j)
| (1.4257989553391546533e-08 + 4.8585646289102244236e-322j)  +/-  (3.56e-56, 6.5e-118j)
| (0.10765717778636718249 + 5.7081628616840585907e-317j)  +/-  (3.03e-49, 5.53e-111j)
| (0.0056395351558600643428 + 2.5114313647782707549e-318j)  +/-  (6.2e-51, 1.13e-112j)
| (0.2127854784466585195 - 1.8751675198074766899e-316j)  +/-  (1.41e-49, 2.58e-111j)
| (5.9380928899432733965e-06 + 1.9196202261322755479e-320j)  +/-  (3.24e-53, 5.92e-115j)
| (0.0056395351558600643428 - 2.5114489938421136243e-318j)  +/-  (2.52e-53, 4.6e-115j)
| (5.9380928899432733965e-06 - 1.9196250672024582993e-320j)  +/-  (1.29e-55, 2.36e-117j)
| (0.00034173076459021540646 + 2.8920666297888337057e-319j)  +/-  (1.24e-54, 2.26e-116j)
| (0.035483974311256561392 + 1.4458428918277270502e-317j)  +/-  (2.27e-53, 4.26e-115j)
| (0.10765717778636718249 - 5.7081321684494027063e-317j)  +/-  (9.39e-53, 1.6e-114j)
