Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 19
-------------------------------------------------
Trying to find an order 19 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^21 - 1076366153/5691719*t^19 + 81863797518/5691719*t^17 - 191195437212/334807*t^15 + 4307294627370/334807*t^13 - 56093060835630/334807*t^11 + 37493604570240/30437*t^9 - 145249671998340/30437*t^7 + 256397116293045/30437*t^5 - 146126492878275/30437*t^3 + 2210190295950/30437*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:
| (5.5709346047425781689 + 2.2393268092745466825e-418j)  +/-  (1.4e-122, 1.4e-122j)
| (-6.5039047097299146831 - 7.327729300451688488e-425j)  +/-  (7.21e-123, 7.21e-123j)
| (7.6133368411957853516 - 2.796720580651938058e-435j)  +/-  (1.77e-123, 1.77e-123j)
| (4.7253821533440737551 - 1.3401788722205843779e-434j)  +/-  (1.21e-122, 1.21e-122j)
| (-5.5709346047425781689 + 4.1810057326539212528e-438j)  +/-  (1.31e-122, 1.31e-122j)
| (2.440882829810338295 - 7.9480452048907917595e-449j)  +/-  (6.18e-124, 6.18e-124j)
| (-4.7253821533440737551 + 3.999696406434290716e-447j)  +/-  (1.27e-122, 1.27e-122j)
| (6.5039047097299146831 - 2.1038407632813216455e-453j)  +/-  (7.36e-123, 7.36e-123j)
| (3.9329174098492859616 - 5.4223058878284518175e-453j)  +/-  (7.05e-123, 7.05e-123j)
| (3.175334630978112297 - 1.875881176854644114e-453j)  +/-  (2.56e-123, 2.56e-123j)
| (1 - 1.4057145298496217053e-455j)  +/-  (1.08e-125, 1.08e-125j)
| (-3.9329174098492859616 + 6.0557203111819680118e-454j)  +/-  (6.04e-123, 6.04e-123j)
| (-1.7200702890281435834 - 2.3565409764142953327e-460j)  +/-  (8.77e-125, 8.77e-125j)
| (-7.6133368411957853516 + 8.359912090624656858e-461j)  +/-  (1.85e-123, 1.85e-123j)
| (-3.175334630978112297 - 7.8341509813998866395e-467j)  +/-  (2.4e-123, 2.4e-123j)
| (1.7200702890281435834 - 2.608916230627269635e-475j)  +/-  (8.57e-125, 8.57e-125j)
| (-3.596472091938157011e-474 - 1.0022955010319453965e-474j)  +/-  (7.84e-473, 7.84e-473j)
| (-2.440882829810338295 + 6.0801013849364334714e-477j)  +/-  (5.5e-124, 5.5e-124j)
| (-1 - 8.855793976084282816e-482j)  +/-  (9.85e-126, 9.85e-126j)
| (-0.12468156555710541246 - 6.0839656036094899307e-483j)  +/-  (3.48e-127, 3.48e-127j)
| (0.12468156555710541246 - 3.3765416035216630213e-488j)  +/-  (3.48e-127, 3.48e-127j)
-------------------------------------------------
The weights are:
| (6.408934850090087545e-08 - 4.2552756415519848182e-425j)  +/-  (3.9e-48, 4.78e-109j)
| (2.5950907450374397851e-10 + 6.4781348114919169177e-428j)  +/-  (2.3e-50, 2.82e-111j)
| (1.3147102237142694367e-13 + 7.3641363643990398548e-429j)  +/-  (2.86e-51, 3.51e-112j)
| (4.6068524093892681267e-06 + 1.6965865018358530963e-424j)  +/-  (2.44e-47, 2.99e-108j)
| (6.408934850090087545e-08 - 1.288086872341254857e-426j)  +/-  (9.71e-50, 1.19e-110j)
| (0.014727865392363281311 - 5.0182119524904270198e-423j)  +/-  (3.35e-44, 4.11e-105j)
| (4.6068524093892681267e-06 + 1.3932678161241600533e-425j)  +/-  (5.87e-49, 7.21e-110j)
| (2.5950907450374397851e-10 - 8.3842467004638570354e-427j)  +/-  (3.82e-50, 4.68e-111j)
| (0.00013493500862923370587 - 5.6950921218380763365e-424j)  +/-  (3.67e-47, 4.51e-108j)
| (0.0019197818859071489716 + 1.8194045137681014727e-423j)  +/-  (2.23e-46, 2.74e-107j)
| (0.17637749995028066865 - 2.9083689286381767291e-422j)  +/-  (1.26e-45, 1.54e-106j)
| (0.00013493500862923370587 - 9.815660013458895768e-425j)  +/-  (2.91e-49, 3.57e-110j)
| (0.065194887636542851573 + 6.434656169984540485e-423j)  +/-  (1.19e-46, 1.46e-107j)
| (1.3147102237142694367e-13 - 1.1407936292997777262e-429j)  +/-  (3.36e-54, 4.12e-115j)
| (0.0019197818859071489716 + 4.9833420808205062012e-424j)  +/-  (6.94e-49, 8.5e-110j)
| (0.065194887636542851573 + 1.2183008016629181784e-422j)  +/-  (5.28e-47, 6.43e-108j)
| (-2.274843154936909437 - 1.2443903291680012209e-420j)  +/-  (2.12e-46, 2.58e-107j)
| (0.014727865392363281311 - 1.9605117987083011702e-423j)  +/-  (7.5e-49, 9.38e-110j)
| (0.17637749995028066865 - 2.0231465978527990392e-422j)  +/-  (1.51e-47, 1.85e-108j)
| (1.3790619363933330986 + 6.2581197309687116645e-421j)  +/-  (9.2e-47, 1.14e-107j)
| (1.3790619363933330986 + 6.5446551492601529311e-421j)  +/-  (8.25e-47, 9.78e-108j)
