Starting with polynomial:
P : 512*t^9 - 9216*t^7 + 48384*t^5 - 80640*t^3 + 30240*t
Extension levels are: 9 14
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Trying to find an order 14 Kronrod extension for:
P1 : 512*t^9 - 9216*t^7 + 48384*t^5 - 80640*t^3 + 30240*t
Solvable: 1
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Ending with final polynomial:
P : 512*t^23 - 847253248/18099*t^21 + 10526171264/6033*t^19 - 69724285120/2011*t^17 + 2436061827136/6033*t^15 - 5743770803680/2011*t^13 + 24755471460720/2011*t^11 - 63531751923640/2011*t^9 + 92322361281150/2011*t^7 - 70208873169435/2011*t^5 + 50216778386775/4022*t^3 - 12961617443775/8044*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
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The nodes are:
| (-0.93588957168758885766 - 6.5366395500376559742e-335j)  +/-  (1.43e-124, 1.43e-124j)
| (-2.6602671868269422397 - 7.1270033054218811544e-355j)  +/-  (1.71e-122, 1.71e-122j)
| (-4.4436725456953199306 + 2.2621994851160873951e-366j)  +/-  (7.17e-123, 7.17e-123j)
| (3.7832466850882959409 - 2.1282576441582535905e-369j)  +/-  (1.57e-122, 1.57e-122j)
| (1.9366468705568828024 - 9.7781955496519384659e-370j)  +/-  (4.82e-123, 4.82e-123j)
| (2.2665805845318431118 + 8.9922213179167351147e-370j)  +/-  (1.23e-122, 1.23e-122j)
| (3.1909932017815276072 - 1.3416495622361670108e-370j)  +/-  (2.18e-122, 2.18e-122j)
| (-1.4685532892166679317 - 6.9987624801689814538e-372j)  +/-  (6.44e-124, 6.44e-124j)
| (5.2317324539479656178 - 6.2165084043157783012e-373j)  +/-  (1.65e-123, 1.65e-123j)
| (-5.2317324539479656178 - 1.9121147304310726689e-371j)  +/-  (1.64e-123, 1.64e-123j)
| (0.72355101875283757332 + 2.4541528059814205904e-378j)  +/-  (7.04e-125, 7.04e-125j)
| (-3.7832466850882959409 + 2.6178301582294797227e-375j)  +/-  (1.62e-122, 1.62e-122j)
| (4.4436725456953199306 - 9.4059029372026601352e-381j)  +/-  (8.15e-123, 8.15e-123j)
| (-0.54431479141505793416 - 7.0100379821270131922e-380j)  +/-  (1.6e-125, 1.6e-125j)
| (-2.2665805845318431118 + 4.2467609486021653385e-382j)  +/-  (1.15e-122, 1.15e-122j)
| (0.93588957168758885766 - 7.75987892312153167e-390j)  +/-  (1.49e-124, 1.49e-124j)
| (1.4685532892166679317 - 1.8010936688721193433e-390j)  +/-  (6.08e-124, 6.08e-124j)
| (-9.3866616586191036921e-392 - 4.7139116889995651335e-391j)  +/-  (1.11e-389, 1.11e-389j)
| (-0.72355101875283757332 - 1.7799043315912708805e-389j)  +/-  (7.18e-125, 7.18e-125j)
| (-3.1909932017815276072 - 6.0426564519549032962e-395j)  +/-  (1.76e-122, 1.76e-122j)
| (2.6602671868269422397 - 1.4852471171281906573e-403j)  +/-  (1.74e-122, 1.74e-122j)
| (0.54431479141505793416 + 8.1574146030627937213e-406j)  +/-  (1.6e-125, 1.6e-125j)
| (-1.9366468705568828024 - 4.4627625575063503105e-412j)  +/-  (4.72e-123, 4.72e-123j)
-------------------------------------------------
The weights are:
| (0.15272011268303183966 - 6.7685956641149333062e-335j)  +/-  (1.36e-44, 5.12e-105j)
| (0.00023130815483293746915 + 1.7612884309220851664e-338j)  +/-  (5.06e-46, 1.9e-106j)
| (1.0602905593092102526e-09 - 1.0774335920797210629e-342j)  +/-  (5.19e-51, 1.95e-111j)
| (2.1330166437068917157e-07 - 2.478783871875787064e-341j)  +/-  (2.35e-50, 8.85e-111j)
| (0.005471491876880724984 - 1.667176834848456303e-337j)  +/-  (8.49e-45, 3.19e-105j)
| (0.00099257386739664273711 + 5.7541869192198102184e-338j)  +/-  (3.48e-46, 1.31e-106j)
| (1.2045500592141180674e-05 + 5.297367189881702381e-340j)  +/-  (2.64e-49, 9.93e-110j)
| (0.032632727683088633853 - 2.4024395983680711547e-336j)  +/-  (3.28e-45, 1.23e-105j)
| (6.6151970881461117516e-13 - 7.2653445292035774214e-345j)  +/-  (8.67e-55, 3.26e-115j)
| (6.6151970881461117516e-13 + 1.0430991116362429005e-344j)  +/-  (1.93e-55, 7.23e-116j)
| (-0.12993850184240794492 + 1.4256510129200570733e-335j)  +/-  (2.98e-46, 1.17e-106j)
| (2.1330166437068917157e-07 + 4.1082724704346287276e-341j)  +/-  (1.52e-52, 5.71e-113j)
| (1.0602905593092102526e-09 + 7.0254848395725375058e-343j)  +/-  (1.45e-53, 5.5e-114j)
| (0.2919537019911492425 - 4.6181783364749016835e-335j)  +/-  (3.43e-46, 1.33e-106j)
| (0.00099257386739664273711 - 1.3848152354108119624e-337j)  +/-  (1.47e-49, 5.52e-110j)
| (0.15272011268303183966 - 5.3333019132269482657e-336j)  +/-  (7.44e-47, 2.96e-107j)
| (0.032632727683088633853 + 5.3221992853868066119e-337j)  +/-  (6.1e-48, 2.38e-108j)
| (0.29184865144563866566 + 7.3764809819333902866e-336j)  +/-  (5e-47, 1.97e-107j)
| (-0.12993850184240794492 + 1.1141562028865404074e-334j)  +/-  (1.53e-46, 5.87e-107j)
| (1.2045500592141180674e-05 - 9.6942832732492345752e-340j)  +/-  (8.49e-52, 3.18e-112j)
| (0.00023130815483293746915 - 8.4454781813808041293e-339j)  +/-  (1.74e-50, 7.43e-111j)
| (0.2919537019911492425 - 1.2216976334092312539e-335j)  +/-  (1.7e-47, 8.34e-108j)
| (0.005471491876880724984 + 4.7854022340670081037e-337j)  +/-  (2.44e-49, 8.51e-110j)
