Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 6 8
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Trying to find an order 6 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
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Trying to find an order 8 Kronrod extension for:
P2 : 3/2*t^8 - 161/52*t^6 + 105/52*t^4 - 245/572*t^2 + 25/1716
Solvable: 1
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Ending with final polynomial:
P : 3/2*t^16 - 52675/9724*t^14 + 62424565/7972932*t^12 - 25786918405/4472814852*t^10 + 2493674299078805/1096541870671764*t^8 - 66130895817287/143027200522404*t^6 + 613871878555495/14255044318732932*t^4 - 244523487906245/156805487506062252*t^2 + 24672636591575/1411249387554560268
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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
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The nodes are:
| (0.98219129046748981137 - 9.3751398994835571612e-352j)  +/-  (1.1e-123, 1.1e-123j)
| (-0.98219129046748981137 - 4.1410770202217893787e-353j)  +/-  (1.1e-123, 1.1e-123j)
| (-0.85110112875893547946 + 5.2049150697080113178e-352j)  +/-  (3.52e-123, 3.52e-123j)
| (-0.91135468502932062759 - 2.6201839781658628714e-352j)  +/-  (3.64e-123, 3.64e-123j)
| (0.91135468502932062759 + 9.7953685675449825574e-351j)  +/-  (4.43e-123, 4.43e-123j)
| (0.75725454904569163266 - 2.0294356007748715789e-353j)  +/-  (1.18e-123, 1.18e-123j)
| (0.14329844755128664784 - 3.3689277062433563387e-362j)  +/-  (9.86e-127, 9.86e-127j)
| (-0.75725454904569163266 - 6.6623570576504893098e-368j)  +/-  (1.28e-123, 1.28e-123j)
| (-0.35028676481269814376 + 1.9173968153217662398e-371j)  +/-  (1.01e-125, 1.01e-125j)
| (0.35028676481269814376 + 4.1495489394272127494e-378j)  +/-  (1.11e-125, 1.11e-125j)
| (0.85110112875893547946 + 1.8777188939579983793e-388j)  +/-  (4.16e-123, 4.16e-123j)
| (0.2041968861768067152 + 2.984396666131327165e-415j)  +/-  (3.48e-126, 3.48e-126j)
| (-0.2041968861768067152 - 1.3641933279740976879e-441j)  +/-  (3.48e-126, 3.48e-126j)
| (-0.57735026918962576451 + 4.1833580939050392075e-458j)  +/-  (1.14e-124, 1.14e-124j)
| (-0.14329844755128664784 - 1.4257820944486654484e-469j)  +/-  (9.86e-127, 9.86e-127j)
| (0.57735026918962576451 + 1.7097982076427303823e-473j)  +/-  (1.14e-124, 1.14e-124j)
-------------------------------------------------
The weights are:
| (0.04533378505524728906 + 1.4675744460079990948e-353j)  +/-  (1.55e-47, 1.29e-107j)
| (0.04533378505524728906 - 2.0563766519561913389e-352j)  +/-  (7.06e-48, 5.86e-108j)
| (0.039480143329455440895 - 7.780741764457831168e-352j)  +/-  (3.78e-48, 3.14e-108j)
| (0.08844752906639600992 + 5.0681093348520407798e-352j)  +/-  (3.32e-48, 2.76e-108j)
| (0.08844752906639600992 - 2.365740806392287253e-350j)  +/-  (5.64e-49, 4.69e-109j)
| (0.15080326301405284806 - 1.4487710409334443735e-350j)  +/-  (3.25e-49, 2.7e-109j)
| (0.3619928862863181227 - 3.8873266214364863426e-350j)  +/-  (1.06e-49, 8.83e-110j)
| (0.15080326301405284806 + 1.0471792350697204268e-351j)  +/-  (1.9e-49, 1.58e-109j)
| (0.25859111351818368496 + 6.772456645038164323e-351j)  +/-  (2.68e-50, 2.23e-110j)
| (0.25859111351818368496 - 1.5506879589646774962e-350j)  +/-  (2.4e-50, 2e-110j)
| (0.039480143329455440895 + 3.4154876258748360758e-350j)  +/-  (2.43e-50, 2.02e-110j)
| (-0.14898996079276936584 + 4.5124546594537323812e-350j)  +/-  (5.54e-50, 4.6e-110j)
| (-0.14898996079276936584 - 2.8350907463825919049e-350j)  +/-  (4.67e-51, 3.89e-111j)
| (0.20434124052311597025 - 1.6489416201227282443e-351j)  +/-  (5.88e-52, 4.86e-112j)
| (0.3619928862863181227 + 2.8140039622305233156e-350j)  +/-  (3.8e-51, 3.17e-111j)
| (0.20434124052311597025 + 7.7482401692149176519e-351j)  +/-  (2.59e-52, 2.07e-112j)
