Starting with polynomial:
P : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Extension levels are: 10 23
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Trying to find an order 23 Kronrod extension for:
P1 : 1024*t^10 - 23040*t^8 + 161280*t^6 - 403200*t^4 + 302400*t^2 - 30240
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1024*t^33 - 80286864610816/366447291*t^31 + 359515427047680/17449871*t^29 - 19657576648805760/17449871*t^27 + 34144419920536768320/855043679*t^25 - 10767229579422909963360/11115567827*t^23 + 3752118026613359274960/226848323*t^21 - 319803622701592535569800/1587938261*t^19 + 2781653286642502720407300/1587938261*t^17 - 1008652959099770250761550/93408133*t^15 + 618362866482317768089575/13344019*t^13 - 1931500890164964327335775/14370482*t^11 + 7237587463937220687746625/28740964*t^9 - 2335410379982438074144125/8211704*t^7 + 2845790688193095799195875/16423408*t^5 - 1532461811332865984789625/32846816*t^3 + 115200782094869777629125/32846816*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:
| (5.9413510556083349029 - 4.1887477689545024434e-437j)  +/-  (8.72e-121, 8.72e-121j)
| (6.666658932975101148 - 3.669940741368045741e-440j)  +/-  (9.5e-122, 9.5e-122j)
| (-5.9413510556083349029 + 1.9940620130314013685e-436j)  +/-  (7.59e-121, 7.59e-121j)
| (-3.4001970817380017557 - 1.1093309913319221243e-439j)  +/-  (1.32e-118, 1.32e-118j)
| (-4.2934087524591911357 - 3.0227318126168783623e-452j)  +/-  (1.04e-119, 1.04e-119j)
| (-6.666658932975101148 + 4.5628187562592332707e-458j)  +/-  (9.6e-122, 9.6e-122j)
| (4.7954510284597292605 + 1.49488064690546727e-455j)  +/-  (6.56e-120, 6.56e-120j)
| (5.3372846071654896491 + 2.0833225369104876577e-455j)  +/-  (2.84e-120, 2.84e-120j)
| (2.5327316742327897964 - 4.4449502709015432615e-456j)  +/-  (7.2e-121, 7.2e-121j)
| (4.2934087524591911357 - 2.1690705078754032758e-455j)  +/-  (1.05e-119, 1.05e-119j)
| (2.1364451029747759753 + 8.6054482059389680809e-457j)  +/-  (1.56e-121, 1.56e-121j)
| (3.8186011366323852585 - 1.0042222929132750287e-453j)  +/-  (1.92e-119, 1.92e-119j)
| (-2.5327316742327897964 + 1.4209735508749507862e-453j)  +/-  (6.94e-121, 6.94e-121j)
| (-2.9467192994999501606 - 2.2029026829449929739e-453j)  +/-  (3.88e-120, 3.88e-120j)
| (-3.8186011366323852585 + 1.0256925631869533097e-457j)  +/-  (1.89e-119, 1.89e-119j)
| (1.7566836492998817735 + 1.0237236207674265203e-471j)  +/-  (2.51e-122, 2.51e-122j)
| (2.9467192994999501606 - 3.1233653716288242641e-467j)  +/-  (3.86e-120, 3.86e-120j)
| (-3.4361591188377376033 + 3.7394593101716792227e-471j)  +/-  (1.45e-118, 1.45e-118j)
| (-1.0366108297895136542 + 4.157270300040428906e-487j)  +/-  (4.12e-124, 4.12e-124j)
| (-2.1364451029747759753 + 1.9631313425056691387e-484j)  +/-  (1.47e-121, 1.47e-121j)
| (3.4361591188377376033 - 2.571341277809429977e-480j)  +/-  (1.44e-118, 1.44e-118j)
| (1.0366108297895136542 - 1.4501398637513459967e-494j)  +/-  (4.21e-124, 4.21e-124j)
| (-5.3372846071654896491 + 1.8636238574724461114e-490j)  +/-  (3.01e-120, 3.01e-120j)
| (-1.7566836492998817735 + 1.8963484495560510481e-494j)  +/-  (2.64e-122, 2.64e-122j)
| (-1.391416947488946979 - 8.9428894029303218994e-495j)  +/-  (3.43e-123, 3.43e-123j)
| (-1.5192656246795243776e-509 + 9.063100065413577556e-510j)  +/-  (5.84e-508, 5.84e-508j)
| (0.68793671572887586023 - 3.9131709763265060599e-497j)  +/-  (4.22e-125, 4.22e-125j)
| (0.34290132722370460879 - 1.8504763737493170096e-498j)  +/-  (2.97e-126, 2.97e-126j)
| (-0.34290132722370460879 + 1.593607256216166409e-498j)  +/-  (2.97e-126, 2.97e-126j)
| (-0.68793671572887586023 + 8.4869003014828902715e-498j)  +/-  (3.75e-125, 3.75e-125j)
| (-4.7954510284597292605 + 1.0929766008269945105e-496j)  +/-  (6.74e-120, 6.74e-120j)
| (3.4001970817380017557 - 2.5779947212892442631e-498j)  +/-  (1.16e-118, 1.16e-118j)
| (1.391416947488946979 + 1.3333267181458585294e-508j)  +/-  (4.02e-123, 4.02e-123j)
-------------------------------------------------
The weights are:
| (1.7100244732622276795e-16 + 5.1720851344107651208e-452j)  +/-  (2.37e-34, 2.19e-94j)
| (2.351284243188309706e-20 + 4.8000361181961588244e-455j)  +/-  (5.64e-36, 5.21e-96j)
| (1.7100244732622276795e-16 + 2.4059017318326291261e-451j)  +/-  (6.41e-36, 5.92e-96j)
| (4.1525895633903192068e-06 + 1.1817804774138298966e-443j)  +/-  (4.54e-29, 4.2e-89j)
| (2.7106133045252948366e-09 - 1.1240553514412490262e-447j)  +/-  (4.92e-32, 4.55e-92j)
| (2.351284243188309706e-20 + 2.639149855480616337e-454j)  +/-  (7.65e-38, 7.07e-98j)
| (3.0182640584475504236e-11 + 1.3946452154789424809e-449j)  +/-  (1.53e-34, 1.42e-94j)
| (1.3613275159028674937e-13 - 7.5936972775330288131e-451j)  +/-  (1.32e-35, 1.22e-95j)
| (0.00037399320911153204486 + 3.0296470895391688043e-445j)  +/-  (1.91e-29, 1.76e-89j)
| (2.7106133045252948366e-09 - 2.4276292591466910059e-448j)  +/-  (4.76e-34, 4.39e-94j)
| (0.0022791932643416011397 - 7.9412588297767107178e-445j)  +/-  (1.24e-28, 1.15e-88j)
| (1.2216688482327783864e-07 + 4.8829125263093059326e-447j)  +/-  (2.25e-33, 2.08e-93j)
| (0.00037399320911153204486 + 8.7340979649416916695e-446j)  +/-  (4.14e-32, 3.82e-92j)
| (4.050286959617661481e-05 + 1.4602500912858282128e-445j)  +/-  (2.66e-33, 2.46e-93j)
| (1.2216688482327783864e-07 + 3.107637983403161229e-446j)  +/-  (6.63e-36, 6.13e-96j)
| (0.0095887849313703918078 + 1.9053610640000544731e-444j)  +/-  (1.41e-30, 1.3e-90j)
| (4.050286959617661481e-05 - 1.2110163410926361492e-445j)  +/-  (8.37e-34, 7.74e-94j)
| (-1.4561289218984716717e-06 - 1.196970505398032588e-443j)  +/-  (5.04e-34, 4.65e-94j)
| (0.067644466835632845175 + 7.0638131715085890135e-444j)  +/-  (9.1e-30, 8.4e-90j)
| (0.0022791932643416011397 - 5.7423133495975413745e-445j)  +/-  (3.67e-33, 3.39e-93j)
| (-1.4561289218984716717e-06 - 2.6055341523586480565e-445j)  +/-  (1.55e-35, 1.43e-95j)
| (0.067644466835632845175 + 7.0553196662359170342e-444j)  +/-  (2.75e-31, 2.53e-91j)
| (1.3613275159028674937e-13 - 3.3410610612523565476e-450j)  +/-  (3.12e-41, 2.87e-101j)
| (0.0095887849313703918078 + 1.7074401448882170194e-444j)  +/-  (2.94e-33, 2.71e-93j)
| (0.029241353334081976703 - 3.858406706890839714e-444j)  +/-  (5.79e-33, 5.33e-93j)
| (0.19323054683733253843 - 1.4839958754968831523e-443j)  +/-  (4.93e-32, 4.54e-92j)
| (0.12181998431933211309 - 1.0627612947907188285e-443j)  +/-  (2.26e-32, 2.08e-92j)
| (0.1723936264494085302 + 1.3619079883253761717e-443j)  +/-  (1.83e-32, 1.69e-92j)
| (0.1723936264494085302 + 1.37160428199668423e-443j)  +/-  (1.25e-32, 1.15e-92j)
| (0.12181998431933211309 - 1.0730276681353036725e-443j)  +/-  (5.39e-33, 4.96e-93j)
| (3.0182640584475504236e-11 + 6.013772508508216002e-449j)  +/-  (3.38e-40, 3.13e-100j)
| (4.1525895633903192068e-06 + 2.94521090907085322e-445j)  +/-  (5.55e-36, 5.2e-96j)
| (0.029241353334081976703 - 3.9744036507002824473e-444j)  +/-  (1.58e-34, 1.41e-94j)
