Starting with polynomial:
P : t^4 - 6*t^2 + 3
Extension levels are: 4 22
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Trying to find an order 22 Kronrod extension for:
P1 : t^4 - 6*t^2 + 3
Solvable: 1
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Ending with final polynomial:
P : t^26 - 12801418966983/45536981123*t^24 + 1511551043600344/45536981123*t^22 - 98344344701419740/45536981123*t^20 + 204731552439352785/2396683217*t^18 - 5128120827284581665/2396683217*t^16 + 82266966751595388840/2396683217*t^14 - 837321689237737223520/2396683217*t^12 + 5254134430833607594275/2396683217*t^10 - 19309118339877159768975/2396683217*t^8 + 38233603066915272416400/2396683217*t^6 - 35539223423792974785900/2396683217*t^4 + 11966600238582800886075/2396683217*t^2 - 666102408269320897875/2396683217
-------------------------------------------------
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:   26 out of 26
Indefinite weights: 0 out of 26
Negative weights:   0 out of 26
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (5.0178367227470780772 + 2.7290728451952276504e-430j)  +/-  (1.43e-121, 1.43e-121j)
| (-5.0178367227470780772 + 3.4646607368706082453e-438j)  +/-  (1.39e-121, 1.39e-121j)
| (-8.5308135274826138408 + 3.57637087436642783e-447j)  +/-  (1.24e-122, 1.24e-122j)
| (-2.968339028022608838 - 2.9023800622648465648e-449j)  +/-  (8.66e-123, 8.66e-123j)
| (6.5717306141344938094 - 7.9020189462865852706e-453j)  +/-  (1.33e-121, 1.33e-121j)
| (8.5308135274826138408 + 5.0658063509208441775e-455j)  +/-  (1.09e-122, 1.09e-122j)
| (-5.7671523666708635886 + 5.1908660023723593619e-453j)  +/-  (1.81e-121, 1.81e-121j)
| (-7.4642616520547267103 - 7.9216908923257837163e-462j)  +/-  (6.61e-122, 6.61e-122j)
| (-4.307180263666100857 + 4.61118794448519606e-468j)  +/-  (8.68e-122, 8.68e-122j)
| (3.6257153144041706902 + 6.3623360063152524486e-472j)  +/-  (3.36e-122, 3.36e-122j)
| (4.307180263666100857 + 1.7436749088961581668e-477j)  +/-  (8.9e-122, 8.9e-122j)
| (-6.5717306141344938094 - 4.7262529041411714124e-480j)  +/-  (1.24e-121, 1.24e-121j)
| (-1.1944065397965773218 + 1.4712672594997618525e-486j)  +/-  (7.75e-125, 7.75e-125j)
| (7.4642616520547267103 - 2.7664060655852943553e-483j)  +/-  (6.47e-122, 6.47e-122j)
| (2.3344142183389772393 + 2.1663488759468019623e-484j)  +/-  (2.28e-123, 2.28e-123j)
| (-2.3344142183389772393 - 5.9576738988414229014e-484j)  +/-  (2.23e-123, 2.23e-123j)
| (1.1944065397965773218 + 6.1562449172458980916e-490j)  +/-  (7.72e-125, 7.72e-125j)
| (-1.7323678753732704591 - 4.544506614764640255e-487j)  +/-  (3.93e-124, 3.93e-124j)
| (-0.74196378430272585765 + 1.1929565509495639843e-490j)  +/-  (1.13e-125, 1.13e-125j)
| (1.7323678753732704591 - 1.5074781546429881239e-489j)  +/-  (4.64e-124, 4.64e-124j)
| (5.7671523666708635886 + 3.8206029062180603914e-488j)  +/-  (1.66e-121, 1.66e-121j)
| (0.74196378430272585765 - 3.8947003995335559431e-491j)  +/-  (1.13e-125, 1.13e-125j)
| (0.26204567974091706338 - 5.254470405095494658e-493j)  +/-  (9.52e-127, 9.52e-127j)
| (-3.6257153144041706902 - 1.3700999619787687871e-490j)  +/-  (3.56e-122, 3.56e-122j)
| (-0.26204567974091706338 + 3.3864236052373288409e-499j)  +/-  (9.52e-127, 9.52e-127j)
| (2.968339028022608838 + 6.083296991148636548e-496j)  +/-  (9.33e-123, 9.33e-123j)
-------------------------------------------------
The weights are:
| (9.8977727092558853232e-07 - 7.8697848165323985749e-436j)  +/-  (1.51e-44, 3.31e-104j)
| (9.8977727092558853232e-07 + 2.6915735054633418562e-437j)  +/-  (6.44e-45, 1.41e-104j)
| (7.6974885608567872779e-17 + 6.0218950196125367128e-443j)  +/-  (7.37e-51, 1.61e-110j)
| (0.0031467840024541205907 - 5.5894653055499647713e-435j)  +/-  (2.92e-40, 6.39e-100j)
| (1.4046384610465720694e-10 + 1.1996471799832094462e-438j)  +/-  (1.11e-48, 2.42e-108j)
| (7.6974885608567872779e-17 + 2.3224905180297501515e-442j)  +/-  (1.13e-51, 2.48e-111j)
| (1.8490087902749472682e-08 - 2.5819344124737665946e-438j)  +/-  (3.24e-47, 7.08e-107j)
| (3.0412522529206478404e-13 - 5.3755998189984248154e-441j)  +/-  (4.51e-50, 9.86e-110j)
| (2.5962805556986776197e-05 - 2.0241489125485770244e-436j)  +/-  (4.28e-45, 9.37e-105j)
| (0.00037298354379790544151 - 7.3095955704758787915e-435j)  +/-  (5.96e-46, 1.3e-105j)
| (2.5962805556986776197e-05 + 2.656025935638574897e-435j)  +/-  (5.58e-47, 1.22e-106j)
| (1.4046384610465720694e-10 + 1.6084502529512647781e-439j)  +/-  (2.23e-49, 4.88e-109j)
| (0.095540877122076544827 + 2.3729763553109556396e-433j)  +/-  (4.78e-41, 1.04e-100j)
| (3.0412522529206478404e-13 - 2.7427275261865079464e-440j)  +/-  (6.11e-52, 1.33e-111j)
| (0.016234121557784612534 - 6.2250529988044146558e-434j)  +/-  (4.24e-45, 9.12e-105j)
| (0.016234121557784612534 + 2.2720181813190813309e-434j)  +/-  (1.29e-44, 2.89e-104j)
| (0.095540877122076544827 - 3.8555709091535198324e-433j)  +/-  (3.66e-43, 7.96e-103j)
| (0.051453387224896739306 - 8.1657815220875237392e-434j)  +/-  (8.13e-44, 1.82e-103j)
| (0.13447904119204387431 - 4.3323202938649629437e-433j)  +/-  (3.44e-43, 9.18e-103j)
| (0.051453387224896739306 + 1.6777116886851593445e-433j)  +/-  (1.54e-44, 3.31e-104j)
| (1.8490087902749472682e-08 - 3.7162095516864037062e-437j)  +/-  (9.16e-50, 2.06e-109j)
| (0.13447904119204387431 + 5.8358376857722894956e-433j)  +/-  (1.08e-43, 2.95e-103j)
| (0.19874583414326233958 - 6.0837849554294152961e-433j)  +/-  (5.42e-44, 1.64e-103j)
| (0.00037298354379790544151 + 1.1772758719504467525e-435j)  +/-  (6.06e-47, 1.53e-106j)
| (0.19874583414326233958 + 5.4798966851822832016e-433j)  +/-  (3.85e-44, 1.25e-103j)
| (0.0031467840024541205907 + 2.1780190499871034103e-434j)  +/-  (2.01e-46, 3.87e-106j)
