Starting with polynomial:
P : 8*t^4 - 8*t^2 + 1
Extension levels are: 4 16
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P1 : 8*t^4 - 8*t^2 + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 8*t^20 - 40*t^18 + 85*t^16 - 100*t^14 + 2275/32*t^12 - 1001/32*t^10 + 2145/256*t^8 - 165/128*t^6 + 825/8192*t^4 - 25/8192*t^2 + 1/65536
-------------------------------------------------
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:   20 out of 20
Indefinite weights: 0 out of 20
Negative weights:   0 out of 20
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-0.9969173337331279762 - 3.9004331201165058425e-279j)  +/-  (5.19e-122, 5.19e-122j)
| (-0.23344536385590541177 + 1.357800297016707503e-278j)  +/-  (1.9e-126, 1.9e-126j)
| (-0.92387953251128675613 + 5.6873932984779886649e-281j)  +/-  (9.7e-122, 9.7e-122j)
| (0.9969173337331279762 - 8.4470685953478180161e-288j)  +/-  (6.98e-122, 6.98e-122j)
| (0.92387953251128675613 - 2.9386525023551041321e-310j)  +/-  (1.04e-121, 1.04e-121j)
| (0.64944804833018365573 + 3.718965113865875172e-330j)  +/-  (3.52e-123, 3.52e-123j)
| (0.97236992039767660183 - 8.1728131083202541931e-343j)  +/-  (1.02e-121, 1.02e-121j)
| (-0.85264016435409222152 + 7.4220196517774183261e-347j)  +/-  (5.34e-122, 5.34e-122j)
| (-0.52249856471594886499 - 7.984984125239344679e-351j)  +/-  (4.32e-124, 4.32e-124j)
| (0.52249856471594886499 - 1.3185461618435821307e-355j)  +/-  (3.95e-124, 3.95e-124j)
| (0.85264016435409222152 + 3.0962714258562467215e-359j)  +/-  (5.09e-122, 5.09e-122j)
| (0.078459095727844945033 + 1.494110930325730952e-362j)  +/-  (1.35e-127, 1.35e-127j)
| (-0.38268343236508977173 + 1.6409686976655395085e-364j)  +/-  (2.93e-125, 2.93e-125j)
| (-0.76040596560003093817 + 2.8152008129619863414e-366j)  +/-  (1.69e-122, 1.69e-122j)
| (0.23344536385590541177 + 2.5573742206781992911e-368j)  +/-  (1.64e-126, 1.64e-126j)
| (0.76040596560003093817 - 3.3568577971842335353e-372j)  +/-  (1.65e-122, 1.65e-122j)
| (0.38268343236508977173 - 1.5598274101288454359e-376j)  +/-  (3.57e-125, 3.57e-125j)
| (-0.97236992039767660183 - 1.4227548491900487284e-378j)  +/-  (1.58e-121, 1.58e-121j)
| (-0.64944804833018365573 - 3.0589649706136072164e-383j)  +/-  (3.92e-123, 3.92e-123j)
| (-0.078459095727844945033 - 1.5256322842210893261e-387j)  +/-  (1.35e-127, 1.35e-127j)
-------------------------------------------------
The weights are:
| (0.05 - 1.5871306036815173412e-278j)  +/-  (2.4e-47, 6.52e-106j)
| (0.05 - 3.071484036647411176e-279j)  +/-  (4.82e-48, 1.31e-106j)
| (0.05 - 1.3401626835536590264e-278j)  +/-  (1.4e-47, 3.8e-106j)
| (0.05 + 5.2985840982746302463e-281j)  +/-  (2.11e-48, 5.75e-107j)
| (0.05 + 2.6281521212014938884e-280j)  +/-  (1.15e-48, 3.12e-107j)
| (0.05 - 5.4312507101751092866e-280j)  +/-  (4.05e-49, 1.1e-107j)
| (0.05 - 1.5857198517474317787e-280j)  +/-  (9.15e-49, 2.49e-107j)
| (0.05 + 9.536408747690132451e-279j)  +/-  (8.37e-50, 2.28e-108j)
| (0.05 - 6.5110005351882136875e-279j)  +/-  (7.5e-50, 2.04e-108j)
| (0.05 + 6.0297312803294739775e-280j)  +/-  (1.45e-49, 3.95e-108j)
| (0.05 - 3.6411922835566818152e-280j)  +/-  (1.98e-49, 5.37e-108j)
| (0.05 - 6.5327398753211501579e-281j)  +/-  (2.57e-50, 6.99e-109j)
| (0.05 + 8.0482710907248339396e-279j)  +/-  (3.17e-50, 8.65e-109j)
| (0.05 - 7.6564182960331628111e-279j)  +/-  (7.35e-51, 2.01e-109j)
| (0.05 + 5.0410482405350763725e-280j)  +/-  (1.02e-50, 2.77e-109j)
| (0.05 + 4.5950284680727224174e-280j)  +/-  (1.4e-50, 3.83e-109j)
| (0.05 - 6.1238182886182540366e-280j)  +/-  (9.05e-51, 2.47e-109j)
| (0.05 + 2.3894804579077942196e-278j)  +/-  (8e-52, 2.23e-110j)
| (0.05 + 6.6952457630916383424e-279j)  +/-  (1.97e-51, 5.49e-110j)
| (0.05 - 1.8017507801976593528e-279j)  +/-  (1.88e-51, 4.81e-110j)
