Starting with polynomial:
P : t
Extension levels are: 1 2 6 14
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Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : t^3 - 3*t
Solvable: 1
-------------------------------------------------
Trying to find an order 14 Kronrod extension for:
P3 : t^9 - 117/4*t^7 + 945/4*t^5 - 2205/4*t^3 + 945/4*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^23 - 3852927458237/20406027900*t^21 + 200673176311657/13604018600*t^19 - 8516201417318679/13604018600*t^17 + 86648979975626579/5441607440*t^15 - 274821978930204615/1088321488*t^13 + 2738115730067306589/1088321488*t^11 - 84416696594777760213/5441607440*t^9 + 310835630853592445601/5441607440*t^7 - 128055455760565021689/1088321488*t^5 + 127735463726273808405/1088321488*t^3 - 40420437771237240717/1088321488*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:
| (-4.1849560176727318607 + 2.6910935158204946905e-273j)  +/-  (3.94e-121, 3.94e-121j)
| (-3.6887789027033948705 + 5.0533902696610243214e-287j)  +/-  (5.58e-122, 5.58e-122j)
| (5.2742030519453960266 + 2.510979590265677877e-298j)  +/-  (3.78e-122, 3.78e-122j)
| (4.1849560176727318607 - 9.977010875737518843e-297j)  +/-  (3.81e-121, 3.81e-121j)
| (6.2309312606915381454 - 1.5871256382244136193e-298j)  +/-  (1.44e-122, 1.44e-122j)
| (-6.2309312606915381454 + 6.1162364502226952453e-297j)  +/-  (1.57e-122, 1.57e-122j)
| (-5.2742030519453960266 - 4.6796084586729579088e-307j)  +/-  (3.94e-122, 3.94e-122j)
| (7.3581644607687103965 + 5.6488011833744924538e-315j)  +/-  (2.76e-123, 2.76e-123j)
| (-7.3581644607687103965 - 2.5729198965453926821e-312j)  +/-  (2.98e-123, 2.98e-123j)
| (3.6887789027033948705 - 1.7077010484424070855e-312j)  +/-  (5.01e-122, 5.01e-122j)
| (0.74109534999454084186 - 1.7852068389989453078e-315j)  +/-  (6.29e-126, 6.29e-126j)
| (4.3114060821243580234 - 6.8692535862286346822e-312j)  +/-  (3.36e-121, 3.36e-121j)
| (-1.9355006438198578602 + 1.3424275872594053983e-311j)  +/-  (5.51e-123, 5.51e-123j)
| (-1.6844643498389885549 - 1.4387794586429222944e-311j)  +/-  (9.62e-123, 9.62e-123j)
| (-1.2228124734570851968e-322 + 1.0128345739745554156e-322j)  +/-  (3.65e-321, 3.65e-321j)
| (-2.8612795760570581173 + 1.1168353924241378131e-320j)  +/-  (7.6e-123, 7.6e-123j)
| (1.7320508075688772935 + 3.4533093423010365237e-330j)  +/-  (1.44e-122, 1.44e-122j)
| (2.8612795760570581173 + 1.6931511286473478126e-332j)  +/-  (7.19e-123, 7.19e-123j)
| (-1.7320508075688772935 + 3.3542184855397645578e-336j)  +/-  (1.38e-122, 1.38e-122j)
| (-0.74109534999454084186 + 1.9431529315914820786e-346j)  +/-  (5.46e-126, 5.46e-126j)
| (1.9355006438198578602 + 1.6255307599931898716e-345j)  +/-  (5.06e-123, 5.06e-123j)
| (1.6844643498389885549 + 1.2312353163181106749e-357j)  +/-  (1e-122, 1e-122j)
| (-4.3114060821243580234 + 6.3896720662108790584e-370j)  +/-  (3.18e-121, 3.18e-121j)
-------------------------------------------------
The weights are:
| (-7.3848336395113012956e-05 + 7.1099626165071439632e-277j)  +/-  (1.52e-39, 2.09e-99j)
| (0.00040930399335627354733 + 3.5833016945076527793e-277j)  +/-  (2.26e-38, 3.1e-98j)
| (3.3192020914150295528e-07 - 6.6251693507794498367e-281j)  +/-  (3.22e-43, 4.42e-103j)
| (-7.3848336395113012956e-05 - 2.3743711808178072464e-278j)  +/-  (1.76e-41, 2.41e-101j)
| (1.5041242523698684012e-09 + 1.38647782044996216e-282j)  +/-  (4.89e-45, 6.71e-105j)
| (1.5041242523698684012e-09 - 7.058441562787681482e-282j)  +/-  (7.17e-46, 9.84e-106j)
| (3.3192020914150295528e-07 + 5.7533808934375655879e-280j)  +/-  (2.84e-44, 3.9e-104j)
| (9.0017684701647259777e-13 - 1.2582930935333939283e-284j)  +/-  (6.1e-48, 8.38e-108j)
| (9.0017684701647259777e-13 + 4.5772690437175698056e-284j)  +/-  (5.44e-48, 7.46e-108j)
| (0.00040930399335627354733 + 2.2580799516690129178e-278j)  +/-  (8.57e-43, 1.18e-102j)
| (0.22861328694284638603 - 6.5843508755520366557e-277j)  +/-  (3.13e-40, 4.3e-100j)
| (6.6516620760632316362e-05 + 1.4208354271709334407e-278j)  +/-  (7.86e-43, 1.08e-102j)
| (0.16367233831784556551 + 7.8384343790018299155e-276j)  +/-  (3.6e-41, 4.95e-101j)
| (0.9446838246897863135 + 3.7006722507258488135e-275j)  +/-  (9.29e-41, 1.28e-100j)
| (0.29346864484649998652 + 7.0155503804473265824e-277j)  +/-  (1.68e-40, 2.31e-100j)
| (0.0053266283059997560152 - 3.6784224749808027407e-277j)  +/-  (3.44e-43, 4.72e-103j)
| (-0.98943270638268337789 - 1.8253144115239098368e-275j)  +/-  (1.33e-42, 1.82e-102j)
| (0.0053266283059997560152 - 6.9101311014553774574e-278j)  +/-  (1.25e-44, 1.72e-104j)
| (-0.98943270638268337789 - 4.4031044439510839967e-275j)  +/-  (1.19e-41, 1.65e-101j)
| (0.22861328694284638603 - 9.4181657638262435925e-277j)  +/-  (8.96e-43, 1.24e-102j)
| (0.16367233831784556551 + 2.8808648294780070866e-276j)  +/-  (1.53e-43, 2.09e-103j)
| (0.9446838246897863135 + 1.5765611506620181328e-275j)  +/-  (9.03e-43, 1.23e-102j)
| (6.6516620760632316362e-05 - 9.5467980390639290767e-277j)  +/-  (2.96e-46, 4.54e-106j)
