Starting with polynomial:
P : 8*t^3 - 12*t
Extension levels are: 3 6 14
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Trying to find an order 6 Kronrod extension for:
P1 : 8*t^3 - 12*t
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : 8*t^9 - 117*t^7 + 945/2*t^5 - 2205/4*t^3 + 945/8*t
Solvable: 1
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Ending with final polynomial:
P : 8*t^23 - 3852927458237/5101506975*t^21 + 200673176311657/6802009300*t^19 - 8516201417318679/13604018600*t^17 + 86648979975626579/10883214880*t^15 - 274821978930204615/4353285952*t^13 + 2738115730067306589/8706571904*t^11 - 84416696594777760213/87065719040*t^9 + 310835630853592445601/174131438080*t^7 - 128055455760565021689/69652575232*t^5 + 127735463726273808405/139305150464*t^3 - 40420437771237240717/278610300928*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:
| (-2.608360576399442317 - 1.2356342223519306265e-415j)  +/-  (3.82e-122, 3.82e-122j)
| (2.9592107790638377223 + 1.6130117040407499336e-419j)  +/-  (2.6e-121, 2.6e-121j)
| (-3.7294247433853742946 - 9.6247897599189636006e-422j)  +/-  (2.86e-122, 2.86e-122j)
| (-5.2030079872954109582 + 1.2997585697085285648e-424j)  +/-  (1.99e-123, 1.99e-123j)
| (1.2247448713915890491 - 5.7295008301373177991e-427j)  +/-  (1.03e-122, 1.03e-122j)
| (3.0486244771190585749 + 1.6024453182993289968e-424j)  +/-  (2.42e-121, 2.42e-121j)
| (5.2030079872954109582 + 2.064004120391433118e-429j)  +/-  (2.01e-123, 2.01e-123j)
| (-1.1910961644381377198 + 1.0476147564163663446e-426j)  +/-  (6.57e-123, 6.57e-123j)
| (4.4059337475422301733 + 1.231788928646142258e-429j)  +/-  (1.21e-122, 1.21e-122j)
| (3.7294247433853742946 + 5.923526158228745371e-429j)  +/-  (3.31e-122, 3.31e-122j)
| (1.368605630235950089 - 1.3206050060652028435e-429j)  +/-  (4.27e-123, 4.27e-123j)
| (3.2028188540043359733e-432 - 3.5479590512286646735e-432j)  +/-  (1.1e-430, 1.1e-430j)
| (-4.4059337475422301733 - 4.0946644106814987091e-428j)  +/-  (1.11e-122, 1.11e-122j)
| (-3.0486244771190585749 - 1.4910947623681318222e-436j)  +/-  (2.71e-121, 2.71e-121j)
| (2.608360576399442317 + 2.5215740951839361607e-450j)  +/-  (3.9e-122, 3.9e-122j)
| (1.1910961644381377198 - 1.8914589953103053145e-450j)  +/-  (7.7e-123, 7.7e-123j)
| (-1.368605630235950089 - 4.712046461905454098e-451j)  +/-  (3.93e-123, 3.93e-123j)
| (-2.0232301911005156592 + 4.9211428275927027407e-452j)  +/-  (5.14e-123, 5.14e-123j)
| (-1.2247448713915890491 + 1.9175937311596607443e-458j)  +/-  (1.01e-122, 1.01e-122j)
| (-0.52403354748695764515 - 5.9607158555593765361e-462j)  +/-  (4.11e-126, 4.11e-126j)
| (2.0232301911005156592 - 8.887997806104271552e-462j)  +/-  (5.36e-123, 5.36e-123j)
| (0.52403354748695764515 + 5.428512700242749732e-466j)  +/-  (4.11e-126, 4.11e-126j)
| (-2.9592107790638377223 - 1.4947315118205114496e-478j)  +/-  (2.78e-121, 2.78e-121j)
-------------------------------------------------
The weights are:
| (0.00040930399335627354733 - 7.0266459512021227359e-420j)  +/-  (2.97e-42, 1.12e-101j)
| (-7.3848336395113012956e-05 + 1.0147559415538160368e-419j)  +/-  (4.93e-44, 1.86e-103j)
| (3.3192020914150295528e-07 - 1.5901343242482422859e-421j)  +/-  (4.09e-46, 1.54e-105j)
| (9.0017684701647259777e-13 - 1.5923533693949235215e-425j)  +/-  (1.66e-49, 6.24e-109j)
| (-0.98943270638268337789 + 8.0153954599673084148e-417j)  +/-  (4.28e-38, 1.61e-97j)
| (6.6516620760632316362e-05 - 6.0621705813660140007e-420j)  +/-  (1.3e-44, 4.91e-104j)
| (9.0017684701647259777e-13 + 5.2888565689809659465e-426j)  +/-  (4.63e-51, 1.74e-110j)
| (0.9446838246897863135 - 1.857265712307317226e-416j)  +/-  (8.4e-41, 3.17e-100j)
| (1.5041242523698684012e-09 - 5.8559394754134421472e-424j)  +/-  (1.82e-49, 6.86e-109j)
| (3.3192020914150295528e-07 + 2.8122402433418981069e-422j)  +/-  (6.57e-48, 2.48e-107j)
| (0.16367233831784556551 - 1.2612275046476716489e-417j)  +/-  (1.48e-42, 5.6e-102j)
| (0.29346864484649998652 - 3.2019078987772957719e-418j)  +/-  (1.86e-42, 7.06e-102j)
| (1.5041242523698684012e-09 + 2.2852619326799208542e-423j)  +/-  (8.21e-51, 3.13e-110j)
| (6.6516620760632316362e-05 + 7.7997179519593584803e-419j)  +/-  (3.47e-48, 1.29e-107j)
| (0.00040930399335627354733 - 9.6978233748609701448e-420j)  +/-  (1.1e-46, 3.63e-106j)
| (0.9446838246897863135 - 6.9281924056576757877e-417j)  +/-  (9.94e-44, 3.31e-103j)
| (0.16367233831784556551 - 4.0456587298247689433e-417j)  +/-  (2.53e-45, 8.26e-105j)
| (0.0053266283059997560152 + 2.3670511849807524569e-418j)  +/-  (2.37e-47, 8.18e-107j)
| (-0.98943270638268337789 + 2.220460538719551322e-416j)  +/-  (1.6e-44, 5.03e-104j)
| (0.22861328694284638603 + 4.4265693512311298919e-418j)  +/-  (4.44e-46, 1.29e-105j)
| (0.0053266283059997560152 + 2.9907099252214953334e-419j)  +/-  (2.51e-47, 7.72e-107j)
| (0.22861328694284638603 + 2.9455270883558036636e-418j)  +/-  (2.93e-46, 7.33e-106j)
| (-7.3848336395113012956e-05 - 1.6112505282180621863e-418j)  +/-  (3.01e-48, 1.22e-107j)
