Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 25
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Trying to find an order 25 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Ending with final polynomial:
P : 4*t^27 - 19495424675482/29790013241*t^25 + 1355869504183650/29790013241*t^23 - 2290900622461275/1295217967*t^21 + 220084251161515125/5180871868*t^19 - 6827138644189196025/10361743736*t^17 + 34721910092375923725/5180871868*t^15 - 461350518015196049625/10361743736*t^13 + 15673023001145376491625/82893949888*t^11 - 81603963220377320848125/165787899776*t^9 + 121371014580759213645375/165787899776*t^7 - 182995709332874931367875/331575799552*t^5 + 223805196837470455081875/1326303198208*t^3 - 32911741104649851819375/2652606396416*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
-------------------------------------------------
The nodes are:
| (4.3897220186778008378 - 2.0414084581013552154e-484j)  +/-  (3.56e-121, 3.56e-121j)
| (6.3165894322865805719 - 1.7738657124843484075e-485j)  +/-  (1.39e-122, 1.39e-122j)
| (-6.3165894322865805719 - 7.7044803588127848005e-484j)  +/-  (1.35e-122, 1.35e-122j)
| (-2.4365732499697397303 - 4.6381314944033312507e-484j)  +/-  (3.11e-122, 3.11e-122j)
| (5.5725019520732816879 + 1.8696656546547372288e-487j)  +/-  (8.69e-122, 8.69e-122j)
| (3.3725819456195211427 - 2.4518886720957306863e-486j)  +/-  (2.05e-121, 2.05e-121j)
| (-5.5725019520732816879 - 3.3302921999200759745e-486j)  +/-  (8.18e-122, 8.18e-122j)
| (-3.3725819456195211427 + 9.5892486818052055035e-493j)  +/-  (2.04e-121, 2.04e-121j)
| (4.9503018514146583596 - 1.9869115630765472067e-500j)  +/-  (2.17e-121, 2.17e-121j)
| (3.867767402159027491 - 2.7777693397280829909e-502j)  +/-  (3.27e-121, 3.27e-121j)
| (1.121365553199840377 - 6.2815889891089159489e-507j)  +/-  (1.73e-124, 1.73e-124j)
| (-4.9503018514146583596 - 6.0691001684979295068e-513j)  +/-  (2.07e-121, 2.07e-121j)
| (-7.2069344813763392482e-522 - 3.138536258892130946e-522j)  +/-  (2.12e-520, 2.12e-520j)
| (1.9880442657646900777 - 2.6302386128504747774e-521j)  +/-  (7.34e-123, 7.34e-123j)
| (1.549670379777757331 + 4.138900568354445458e-524j)  +/-  (1.2e-123, 1.2e-123j)
| (-3.867767402159027491 - 2.5984160872605836679e-526j)  +/-  (3.03e-121, 3.03e-121j)
| (-4.3897220186778008378 - 4.815104293565806413e-540j)  +/-  (3.45e-121, 3.45e-121j)
| (-1.9880442657646900777 + 2.5000325832732523409e-545j)  +/-  (7.04e-123, 7.04e-123j)
| (-1.121365553199840377 - 5.0275636062242090932e-548j)  +/-  (1.94e-124, 1.94e-124j)
| (0.3237055070728329242 + 1.9004486975660363887e-549j)  +/-  (1.83e-126, 1.83e-126j)
| (-0.3237055070728329242 + 9.5531610930591508748e-550j)  +/-  (2.23e-126, 2.23e-126j)
| (0.7071067811865475244 + 1.239945522535851413e-549j)  +/-  (2.18e-125, 2.18e-125j)
| (2.4365732499697397303 + 1.0999876411508207443e-544j)  +/-  (2.9e-122, 2.9e-122j)
| (-2.8970596197316066864 + 1.3309682776882072649e-546j)  +/-  (9.66e-122, 9.66e-122j)
| (-0.7071067811865475244 + 1.105930385573205186e-549j)  +/-  (2.33e-125, 2.33e-125j)
| (-1.549670379777757331 - 5.7259902136289301289e-549j)  +/-  (1.21e-123, 1.21e-123j)
| (2.8970596197316066864 + 1.3572922722507423706e-547j)  +/-  (1e-121, 1e-121j)
-------------------------------------------------
The weights are:
| (1.3003605024994124442e-09 - 3.456855049435306301e-491j)  +/-  (8.19e-46, 1.61e-104j)
| (2.2672115233882919217e-18 + 8.1414738301931941018e-496j)  +/-  (3.12e-50, 6.14e-109j)
| (2.2672115233882919217e-18 - 1.8260534405890579539e-495j)  +/-  (1.38e-51, 2.71e-110j)
| (0.00067642420309115362026 - 8.8995595951870979592e-487j)  +/-  (1.03e-41, 2.03e-100j)
| (1.2284959978908752608e-14 - 7.4407616369915764145e-494j)  +/-  (5.99e-49, 1.18e-107j)
| (3.1394139409987110869e-06 - 2.6290533930655293576e-489j)  +/-  (8.41e-45, 1.65e-103j)
| (1.2284959978908752608e-14 + 1.8840263372039824903e-493j)  +/-  (9.68e-51, 1.9e-109j)
| (3.1394139409987110869e-06 + 1.659844368123851663e-488j)  +/-  (2.6e-46, 5.11e-105j)
| (7.5288216578620036051e-12 + 2.26345152234506872e-492j)  +/-  (3.33e-48, 6.54e-107j)
| (9.112487991745658169e-08 + 3.640871986838523044e-490j)  +/-  (2.88e-46, 5.66e-105j)
| (0.06779302693550723421 + 1.8323918029926849868e-486j)  +/-  (7.02e-40, 1.38e-98j)
| (7.5288216578620036051e-12 - 6.5451574740205785931e-492j)  +/-  (2.26e-50, 4.45e-109j)
| (0.17095662007159804957 - 1.3044500090768655555e-485j)  +/-  (2.72e-40, 5.34e-99j)
| (0.0048041400836838776912 + 2.2935697328959704422e-487j)  +/-  (1.1e-43, 2.15e-102j)
| (0.022156159034437525748 - 6.9393915194465138104e-487j)  +/-  (2.42e-42, 4.75e-101j)
| (9.112487991745658169e-08 - 1.6153227988138457614e-489j)  +/-  (6.06e-49, 1.19e-107j)
| (1.3003605024994124442e-09 + 1.2473133485229959518e-490j)  +/-  (7.23e-50, 1.42e-108j)
| (0.0048041400836838776912 + 2.270432621295743713e-486j)  +/-  (1.74e-46, 3.42e-105j)
| (0.06779302693550723421 + 4.9648120730669813892e-486j)  +/-  (3.53e-45, 6.96e-104j)
| (0.18094146199790405 + 9.082317298837530192e-486j)  +/-  (1.64e-43, 3.23e-102j)
| (0.18094146199790405 + 1.187021186571135006e-485j)  +/-  (7.89e-44, 1.56e-102j)
| (0.13808753108903958386 - 4.3580883975521827501e-486j)  +/-  (3.33e-44, 6.56e-103j)
| (0.00067642420309115362026 - 6.4039061172236667243e-488j)  +/-  (3.75e-47, 7.36e-106j)
| (5.9714773815022530732e-05 - 1.7088814461647311986e-487j)  +/-  (6.27e-48, 1.24e-106j)
| (0.13808753108903958386 - 7.9291883886094215138e-486j)  +/-  (3.06e-45, 6.23e-104j)
| (0.022156159034437525748 - 3.1263404356297809687e-486j)  +/-  (3.11e-46, 6.09e-105j)
| (5.9714773815022530732e-05 + 1.4612845868663808553e-488j)  +/-  (3.55e-48, 6.94e-107j)
