Starting with polynomial:
P : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Extension levels are: 10 15
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Trying to find an order 15 Kronrod extension for:
P1 : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Solvable: 1
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Ending with final polynomial:
P : 1024*t^25 - 52397120000/485553*t^23 + 763839596800/161851*t^21 - 18195211529600/161851*t^19 + 260663283104000/161851*t^17 - 2341398524767680/161851*t^15 + 13345506556183200/161851*t^13 - 47809367049116400/161851*t^11 + 104448305889427500/161851*t^9 - 131691652450107750/161851*t^7 + 87203047569162525/161851*t^5 - 50465513591868375/323702*t^3 + 170125299469125/14074*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:
| (-4.6551572829779747455 + 2.8892981882108349594e-464j)  +/-  (1.43e-122, 1.43e-122j)
| (3.4361591188377376033 + 5.5640276856533285792e-470j)  +/-  (4.77e-122, 4.77e-122j)
| (-5.42919796038839937 - 1.5320013035074680095e-475j)  +/-  (3.05e-123, 3.05e-123j)
| (-1.3325279424540371395 + 1.3446236335535179235e-474j)  +/-  (1.14e-123, 1.14e-123j)
| (5.42919796038839937 - 1.4415367647194744085e-474j)  +/-  (3.26e-123, 3.26e-123j)
| (1.7566836492998817735 - 5.6217907123597856453e-476j)  +/-  (5.31e-123, 5.31e-123j)
| (2.5327316742327897964 + 4.4850028023720499778e-482j)  +/-  (4.32e-122, 4.32e-122j)
| (-2.5327316742327897964 - 2.5282169450686397436e-488j)  +/-  (4.14e-122, 4.14e-122j)
| (4.009872414304342437 - 1.0964072553308749924e-491j)  +/-  (3.17e-122, 3.17e-122j)
| (2.8042391690534136216e-500 + 2.4994305637215208367e-500j)  +/-  (9.39e-499, 9.39e-499j)
| (1.3325279424540371395 + 1.3928534029246172702e-497j)  +/-  (1.25e-123, 1.25e-123j)
| (2.9292031292241940627 + 1.7556975667117024414e-499j)  +/-  (5.66e-122, 5.66e-122j)
| (-3.4361591188377376033 + 1.8816126918498313154e-502j)  +/-  (4.81e-122, 4.81e-122j)
| (4.6551572829779747455 - 1.0553058146697575488e-508j)  +/-  (1.5e-122, 1.5e-122j)
| (-2.1829744547485468469 - 3.9878778976410905301e-507j)  +/-  (2.23e-122, 2.23e-122j)
| (1.0366108297895136542 + 7.9562659930391627571e-512j)  +/-  (2.89e-124, 2.89e-124j)
| (-2.9292031292241940627 + 7.5337799521544350901e-510j)  +/-  (5.63e-122, 5.63e-122j)
| (-4.009872414304342437 + 3.9487695485302109316e-516j)  +/-  (3.22e-122, 3.22e-122j)
| (-0.7321662842737402056 + 3.3442757822899441572e-522j)  +/-  (3.56e-125, 3.56e-125j)
| (0.34290132722370460879 - 6.0834353192922023993e-521j)  +/-  (2.13e-126, 2.13e-126j)
| (2.1829744547485468469 + 1.1645336074677080501e-524j)  +/-  (2.16e-122, 2.16e-122j)
| (0.7321662842737402056 + 9.6626787343948285577e-533j)  +/-  (3.44e-125, 3.44e-125j)
| (-1.7566836492998817735 - 9.5188774110183183996e-530j)  +/-  (5.26e-123, 5.26e-123j)
| (-0.34290132722370460879 + 3.5369161224015092382e-534j)  +/-  (1.89e-126, 1.89e-126j)
| (-1.0366108297895136542 - 1.0486882922917935441e-531j)  +/-  (2.77e-124, 2.77e-124j)
-------------------------------------------------
The weights are:
| (1.5167367527060523089e-10 + 2.587427987438097744e-473j)  +/-  (1.44e-48, 5.63e-109j)
| (2.2834223828956607901e-06 + 4.4331972697309048407e-472j)  +/-  (3.63e-46, 1.42e-106j)
| (7.93125173101577536e-14 + 5.4060657397586988471e-476j)  +/-  (2.44e-50, 9.53e-111j)
| (0.036587491318305690294 - 5.7589525419667721577e-468j)  +/-  (1.2e-37, 4.68e-98j)
| (7.93125173101577536e-14 - 4.1502411454634201418e-477j)  +/-  (3e-51, 1.17e-111j)
| (0.011395524821362605112 + 7.1042355881643019712e-469j)  +/-  (3.16e-41, 1.23e-101j)
| (0.00031152632047451967497 + 5.1921363483525548684e-470j)  +/-  (2.9e-44, 1.13e-104j)
| (0.00031152632047451967497 + 1.7588618424854641272e-469j)  +/-  (1.15e-45, 4.47e-106j)
| (3.5510722299293785667e-08 - 1.8940385643458969782e-473j)  +/-  (1.38e-48, 5.38e-109j)
| (0.18072951052929297834 - 1.7422924912306263142e-467j)  +/-  (2.9e-41, 1.13e-101j)
| (0.036587491318305690294 - 3.1954603354248763007e-468j)  +/-  (2.68e-41, 1.05e-101j)
| (4.8958839504491990433e-05 - 7.0392126771592007094e-471j)  +/-  (9.87e-46, 3.85e-106j)
| (2.2834223828956607901e-06 + 2.9471766671869824386e-471j)  +/-  (3.41e-49, 1.33e-109j)
| (1.5167367527060523089e-10 + 4.708206540444221192e-475j)  +/-  (1.37e-50, 5.34e-111j)
| (0.0018864828308216533891 - 5.3270863815463994557e-469j)  +/-  (1.79e-46, 6.99e-107j)
| (0.045993388407036084938 + 7.7290315448317570901e-468j)  +/-  (5.21e-44, 2.03e-104j)
| (4.8958839504491990433e-05 - 3.0948490105568771795e-470j)  +/-  (3.48e-48, 1.36e-108j)
| (3.5510722299293785667e-08 - 2.5419918827527478963e-472j)  +/-  (1.01e-50, 3.95e-111j)
| (0.12463643043721541156 - 1.4913355421269629431e-467j)  +/-  (6.6e-45, 2.58e-105j)
| (0.18877312267577487113 + 1.4132635654887969476e-467j)  +/-  (1.48e-44, 5.78e-105j)
| (0.0018864828308216533891 - 1.9255544276941148717e-469j)  +/-  (1.58e-46, 6.16e-107j)
| (0.12463643043721541156 - 1.0859341183480494288e-467j)  +/-  (1.03e-44, 4.02e-105j)
| (0.011395524821362605112 + 1.5717403969160981543e-468j)  +/-  (7.92e-47, 3.11e-107j)
| (0.18877312267577487113 + 1.6380504226673771085e-467j)  +/-  (8.08e-46, 3.51e-106j)
| (0.045993388407036084938 + 1.2157999496465530745e-467j)  +/-  (5.37e-46, 2.01e-106j)
