Starting with polynomial:
P : t
Extension levels are: 1 22
-------------------------------------------------
Trying to find an order 22 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^23 - 253/45*t^21 + 1771/129*t^19 - 33649/1763*t^17 + 1144066/68757*t^15 - 8008462/848003*t^13 + 1144066/326155*t^11 - 163438/195693*t^9 + 245157/2022161*t^7 - 572033/58642669*t^5 + 572033/1583352063*t^3 - 52003/13194600525*t
-------------------------------------------------
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:
| (0.99476933499755212352 - 2.5778871996126537566e-258j)  +/-  (1.01e-120, 1.01e-120j)
| (-0.39030103803029083142 + 2.3538826975439954421e-256j)  +/-  (2.15e-124, 2.15e-124j)
| (-0.87675235827044166738 - 4.1200975435444096084e-265j)  +/-  (1.38e-120, 1.38e-120j)
| (-0.50950147784600754969 + 7.4884275387285348574e-275j)  +/-  (2.44e-123, 2.44e-123j)
| (0.87675235827044166738 + 3.5195779181539778985e-282j)  +/-  (1.21e-120, 1.21e-120j)
| (0.26413568097034493053 + 1.1625715689352529003e-285j)  +/-  (1.59e-125, 1.59e-125j)
| (-0.99476933499755212352 + 5.8108956544036595446e-310j)  +/-  (9.43e-121, 9.43e-121j)
| (-0.97254247121811523196 + 6.5196119936197348656e-340j)  +/-  (2.26e-120, 2.26e-120j)
| (0.93297108682601610235 - 8.1882663750553455773e-356j)  +/-  (2.47e-120, 2.47e-120j)
| (-0.93297108682601610235 - 3.3441717165475348286e-354j)  +/-  (2.29e-120, 2.29e-120j)
| (0.80488840161883989215 - 3.5070660359640645397e-361j)  +/-  (5.09e-121, 5.09e-121j)
| (0.97254247121811523196 + 2.6704282067948722204e-361j)  +/-  (2.43e-120, 2.43e-120j)
| (-0.61960987576364615639 - 1.2822498996274245291e-359j)  +/-  (2.06e-122, 2.06e-122j)
| (-0.71866136313195019446 + 8.2721175277978521597e-363j)  +/-  (1.31e-121, 1.31e-121j)
| (8.5541218957795536601e-370 - 2.6763168685074484575e-370j)  +/-  (2.06e-368, 2.06e-368j)
| (0.61960987576364615639 - 8.460388617085462689e-372j)  +/-  (2.14e-122, 2.14e-122j)
| (0.50950147784600754969 + 2.4513825847403194238e-370j)  +/-  (2.35e-123, 2.35e-123j)
| (-0.13325682429846611093 + 4.878508845271656965e-370j)  +/-  (7.94e-127, 7.94e-127j)
| (-0.80488840161883989215 - 1.0328001163318118895e-368j)  +/-  (5.16e-121, 5.16e-121j)
| (-0.26413568097034493053 - 5.1139648764512585593e-376j)  +/-  (1.52e-125, 1.52e-125j)
| (0.39030103803029083142 - 5.2518159205554388457e-378j)  +/-  (2.3e-124, 2.3e-124j)
| (0.71866136313195019446 + 6.9331889034589146419e-379j)  +/-  (1.24e-121, 1.24e-121j)
| (0.13325682429846611093 + 6.5100347247395546307e-379j)  +/-  (7.94e-127, 7.94e-127j)
-------------------------------------------------
The weights are:
| (0.013411859487141772081 + 4.0622578911884133384e-258j)  +/-  (1.38e-38, 2.28e-97j)
| (0.12304908430672953047 + 1.4017895642563449316e-257j)  +/-  (7.18e-39, 1.18e-97j)
| (0.064232421408525852127 + 2.2281682902109978584e-257j)  +/-  (1.43e-39, 2.34e-98j)
| (0.11499664022241136494 + 2.1897232328018174451e-256j)  +/-  (4.27e-39, 7.02e-98j)
| (0.064232421408525852127 - 1.1646162377883752136e-257j)  +/-  (3.12e-40, 5.13e-99j)
| (0.12890572218808214998 - 4.8839558997463812621e-257j)  +/-  (3.71e-40, 6.09e-99j)
| (0.013411859487141772081 - 1.7377452561899596895e-258j)  +/-  (7.84e-41, 1.29e-99j)
| (0.030988005856979444311 + 6.2494296204677100777e-258j)  +/-  (1.04e-40, 1.71e-99j)
| (0.048037671731084668572 + 9.077988624614665005e-258j)  +/-  (7.87e-42, 1.29e-100j)
| (0.048037671731084668572 - 1.2918382821822105356e-257j)  +/-  (8.48e-41, 1.39e-99j)
| (0.079281411776718954923 + 1.5109881933828980945e-257j)  +/-  (2.19e-42, 3.6e-101j)
| (0.030988005856979444311 - 8.0829071360628368069e-258j)  +/-  (4.86e-42, 7.99e-101j)
| (0.10489209146454141007 - 9.8961722500780072743e-257j)  +/-  (6.82e-42, 1.12e-100j)
| (0.092915766060035147477 + 5.7530071119049772552e-257j)  +/-  (4.65e-42, 7.65e-101j)
| (0.13365457218610617535 - 8.5078913153127565896e-257j)  +/-  (1.35e-43, 2.22e-102j)
| (0.10489209146454141007 + 2.4555023523355160267e-257j)  +/-  (3.1e-44, 5.11e-103j)
| (0.11499664022241136494 - 3.084068363319955489e-257j)  +/-  (2.62e-44, 4.31e-103j)
| (0.13246203940469661737 + 1.2678629990227762126e-256j)  +/-  (2.36e-44, 3.87e-103j)
| (0.079281411776718954923 - 3.5873637357991555907e-257j)  +/-  (5.05e-44, 8.31e-103j)
| (0.12890572218808214998 - 2.4695604225206875233e-256j)  +/-  (2.14e-44, 3.53e-103j)
| (0.12304908430672953047 + 3.8666660932335083091e-257j)  +/-  (3.18e-45, 5.27e-104j)
| (0.092915766060035147477 - 1.9385201481547043426e-257j)  +/-  (1.92e-45, 3.24e-104j)
| (0.13246203940469661737 + 6.301144159616443285e-257j)  +/-  (3.3e-45, 5.32e-104j)
