Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 5 16
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Trying to find an order 5 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P2 : 4*t^7 - 106/3*t^5 + 215/3*t^3 - 55/2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^23 - 190561781511590/454088400077*t^21 + 73610338759101533/4086795600693*t^19 - 50596907879744273137/122603868020790*t^17 + 677980562013908772311/122603868020790*t^15 - 56215914325076525467/1257475569444*t^13 + 547119670729843344497/2514951138888*t^11 - 3112387970240841410195/5029902277776*t^9 + 2167197645791877595589/2235512123456*t^7 - 3377729383397684509579/4471024246912*t^5 + 2188577584705176879445/8942048493824*t^3 - 396238218708225835095/17884096987648*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: 0
  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:   23 out of 23
Indefinite weights: 0 out of 23
Negative weights:   0 out of 23
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-1.5054482028623358456 - 1.8413554725896458292e-342j)  +/-  (6.41e-124, 6.41e-124j)
| (-9.3929526500680027707e-352 - 2.2761345840828687212e-351j)  +/-  (5.66e-350, 5.66e-350j)
| (-4.098239444467881317 - 3.0708286486000048082e-360j)  +/-  (1.85e-122, 1.85e-122j)
| (4.7425632689385684513 - 2.7710645567489333738e-366j)  +/-  (9.59e-123, 9.59e-123j)
| (-4.7425632689385684513 + 1.5231335477445729975e-366j)  +/-  (1.12e-122, 1.12e-122j)
| (5.511959786209443011 + 5.7310621064025244358e-371j)  +/-  (2.7e-123, 2.7e-123j)
| (-3.5171448995332477185 + 2.4027147750786915349e-369j)  +/-  (2.21e-122, 2.21e-122j)
| (-2.4631197782145911371 + 2.9964483525428665437e-373j)  +/-  (6.92e-123, 6.92e-123j)
| (3.5171448995332477185 - 4.5936655913755823992e-379j)  +/-  (2.01e-122, 2.01e-122j)
| (-1.0721202428708592841 - 3.07288914616447157e-387j)  +/-  (8.97e-125, 8.97e-125j)
| (0.7071067811865475244 + 1.8120104727076916088e-393j)  +/-  (1.6e-125, 1.6e-125j)
| (2.9759425723604774557 - 3.0834543985618020615e-401j)  +/-  (1.45e-122, 1.45e-122j)
| (-2.9759425723604774557 - 1.5157658935075370407e-403j)  +/-  (1.54e-122, 1.54e-122j)
| (-0.37841952824150202021 - 7.5415230039382108679e-413j)  +/-  (1.74e-126, 1.74e-126j)
| (1.9730131524855205001 - 7.3015342192271198932e-424j)  +/-  (2.11e-123, 2.11e-123j)
| (1.0721202428708592841 + 4.5525635538637642828e-432j)  +/-  (9.81e-125, 9.81e-125j)
| (4.098239444467881317 - 6.5905502922823647924e-436j)  +/-  (1.79e-122, 1.79e-122j)
| (-5.511959786209443011 - 1.7241260753212046403e-438j)  +/-  (2.5e-123, 2.5e-123j)
| (-0.7071067811865475244 + 5.1858479609270608322e-440j)  +/-  (1.6e-125, 1.6e-125j)
| (-1.9730131524855205001 - 1.1186002626462503117e-439j)  +/-  (2.21e-123, 2.21e-123j)
| (2.4631197782145911371 - 1.4871863864508231319e-445j)  +/-  (6.5e-123, 6.5e-123j)
| (0.37841952824150202021 - 8.5783933107844419349e-456j)  +/-  (1.74e-126, 1.74e-126j)
| (1.5054482028623358456 + 1.3613380420527124226e-461j)  +/-  (5.48e-124, 5.48e-124j)
-------------------------------------------------
The weights are:
| (0.026565674490041034021 - 1.4446047811567729509e-343j)  +/-  (3.53e-38, 4.02e-99j)
| (0.22128595537592945689 - 3.7874835626057484882e-343j)  +/-  (3.53e-38, 4.02e-99j)
| (1.7399550342534649381e-08 - 1.5617763443837010696e-348j)  +/-  (5.23e-48, 5.96e-109j)
| (6.6405801434057462712e-11 - 2.7951451344334661194e-350j)  +/-  (1.91e-50, 2.18e-111j)
| (6.6405801434057462712e-11 + 5.3949577012297084093e-350j)  +/-  (9.27e-50, 1.06e-110j)
| (3.1848227015347422834e-14 + 3.726153365326248645e-352j)  +/-  (4.93e-52, 5.62e-113j)
| (1.3370656396688397948e-06 + 2.5455628990828231825e-347j)  +/-  (3.06e-47, 3.49e-108j)
| (0.00065515462972785659804 + 2.6924137313366124298e-345j)  +/-  (5.24e-45, 5.97e-106j)
| (1.3370656396688397948e-06 - 1.0195730322416391324e-347j)  +/-  (3.4e-49, 3.88e-110j)
| (0.072553025159077959388 + 3.8142057275492802475e-343j)  +/-  (6.25e-43, 7.11e-104j)
| (0.11180227650558846757 - 1.7382873364666600364e-343j)  +/-  (1.04e-42, 1.18e-103j)
| (4.2259075059437646921e-05 + 9.491282887459389256e-347j)  +/-  (2.32e-48, 2.65e-109j)
| (4.2259075059437646921e-05 - 2.8925066577026667067e-346j)  +/-  (1.91e-47, 2.18e-108j)
| (0.17222265519802409395 + 4.8201668346096389358e-343j)  +/-  (4.34e-43, 4.95e-104j)
| (0.0055146227228887613374 + 3.5329156057555512364e-345j)  +/-  (9.77e-47, 1.11e-107j)
| (0.072553025159077959388 + 6.4122525775909059771e-344j)  +/-  (2.2e-44, 2.5e-105j)
| (1.7399550342534649381e-08 + 7.2262415119122564377e-349j)  +/-  (1.52e-50, 1.73e-111j)
| (3.1848227015347422834e-14 - 6.5263603605722013771e-352j)  +/-  (1.04e-53, 1.18e-114j)
| (0.11180227650558846757 - 4.8175582415211769561e-343j)  +/-  (1.46e-44, 1.67e-105j)
| (0.0055146227228887613374 - 2.6283215625259806882e-344j)  +/-  (1.37e-46, 1.56e-107j)
| (0.00065515462972785659804 - 6.497175088515685032e-346j)  +/-  (3.14e-48, 3.61e-109j)
| (0.17222265519802409395 + 2.883677122098123394e-343j)  +/-  (2.56e-45, 3.42e-106j)
| (0.026565674490041034021 - 1.6246606857242777646e-344j)  +/-  (1e-46, 1.08e-107j)
