Starting with polynomial:
P : 46189/256*t^10 - 109395/256*t^8 + 45045/128*t^6 - 15015/128*t^4 + 3465/256*t^2 - 63/256
Extension levels are: 10 12
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Trying to find an order 12 Kronrod extension for:
P1 : 46189/256*t^10 - 109395/256*t^8 + 45045/128*t^6 - 15015/128*t^4 + 3465/256*t^2 - 63/256
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 46189/256*t^22 - 5564559/5888*t^20 + 7182734559/3385600*t^18 - 1868043574397/700819200*t^16 + 3999135573000799/1947693360000*t^14 - 1386904017410797067/1388705365680000*t^12 + 6564262289282082838453/21559650802182000000*t^10 - 26732588628921841237/479103351159600000*t^8 + 185727472669565827/33041610424800000*t^6 - 746786462661752513/2874620106957600000*t^4 + 3403953492432493/958206702319200000*t^2 - 1772896747853/4791033511596000000
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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:
| (0.99563121933714870557 + 5.6385411319315498004e-454j)  +/-  (3.64e-121, 3.64e-121j)
| (-0.67940956829902440623 - 6.755943345426385829e-472j)  +/-  (1.91e-122, 1.91e-122j)
| (-0.9302253655382177185 + 1.4153374678252059666e-469j)  +/-  (5.88e-121, 5.88e-121j)
| (-0.99563121933714870557 - 7.5497896823519510145e-469j)  +/-  (3.42e-121, 3.42e-121j)
| (0.5629262430263026964 - 6.9834290490253068948e-471j)  +/-  (2.8e-123, 2.8e-123j)
| (0.97390652851717172008 + 2.5958311154649003773e-472j)  +/-  (7.42e-121, 7.42e-121j)
| (-0.5629262430263026964 + 1.3124616689231507588e-487j)  +/-  (3.11e-123, 3.11e-123j)
| (-0.97390652851717172008 - 5.2160446036536260892e-484j)  +/-  (6.69e-121, 6.69e-121j)
| (-0.86506336668898451073 + 3.5707765308756107955e-486j)  +/-  (2.73e-121, 2.73e-121j)
| (0.9302253655382177185 + 1.7561149902976958138e-484j)  +/-  (5.52e-121, 5.52e-121j)
| (0.86506336668898451073 + 2.2173489561891917675e-492j)  +/-  (2.89e-121, 2.89e-121j)
| (0.14887433898163121088 + 1.2498420822405784857e-495j)  +/-  (9.38e-127, 9.38e-127j)
| (-0.29404468164678598008 + 5.5917138648135731401e-499j)  +/-  (1.65e-125, 1.65e-125j)
| (-0.4333953941292471908 + 8.2113027192717396413e-501j)  +/-  (2.57e-124, 2.57e-124j)
| (0.010245530496497745818 - 8.9078409854462342075e-499j)  +/-  (2.73e-128, 2.73e-128j)
| (0.78071202180714091681 + 1.2722874774209928416e-503j)  +/-  (9.59e-122, 9.59e-122j)
| (0.4333953941292471908 - 4.2556431188078017091e-507j)  +/-  (2.55e-124, 2.55e-124j)
| (-0.010245530496497745818 - 2.4154651369047747161e-506j)  +/-  (2.73e-128, 2.73e-128j)
| (-0.78071202180714091681 + 7.1442417235788608898e-509j)  +/-  (9.11e-122, 9.11e-122j)
| (-0.14887433898163121088 - 1.8575485724030552912e-512j)  +/-  (9.38e-127, 9.38e-127j)
| (0.29404468164678598008 - 1.6736833716520046264e-511j)  +/-  (1.56e-125, 1.56e-125j)
| (0.67940956829902440623 + 2.4575559280868345644e-523j)  +/-  (1.81e-122, 1.81e-122j)
-------------------------------------------------
The weights are:
| (0.011730906287850174371 - 6.0665650995143809844e-454j)  +/-  (5.77e-39, 1.12e-97j)
| (0.10917900043134000283 - 5.4216939419603114347e-455j)  +/-  (3.01e-39, 5.86e-98j)
| (0.054740954324748449836 + 1.7154003829354623564e-455j)  +/-  (1.43e-39, 2.79e-98j)
| (0.011730906287850174371 + 3.3217719741099433469e-456j)  +/-  (4.01e-40, 7.81e-99j)
| (0.12344727674801986526 - 2.845138335680843599e-454j)  +/-  (3.84e-41, 7.47e-100j)
| (0.032475818308645063146 + 9.0732664732105024765e-454j)  +/-  (6.22e-41, 1.21e-99j)
| (0.12344727674801986526 + 7.8990062661851632841e-455j)  +/-  (1.57e-40, 3.06e-99j)
| (0.032475818308645063146 - 1.0008130540908777336e-455j)  +/-  (4.59e-40, 8.94e-99j)
| (0.075172400135729261175 - 2.590645530783614089e-455j)  +/-  (1.7e-40, 3.32e-99j)
| (0.054740954324748449836 - 5.0509471726032337358e-454j)  +/-  (2.39e-41, 4.66e-100j)
| (0.075172400135729261175 + 3.6918736240774838268e-454j)  +/-  (1.07e-41, 2.08e-100j)
| (0.14663143226091226665 + 6.6307148785495934472e-454j)  +/-  (7.24e-43, 1.41e-101j)
| (0.14295575521761188657 + 2.1162793276892881934e-454j)  +/-  (7.29e-43, 1.42e-101j)
| (0.13506815053432248013 - 1.2164339553861786165e-454j)  +/-  (1.36e-42, 2.64e-101j)
| (0.075449098341917554762 - 4.1954506027005147289e-453j)  +/-  (1.42e-43, 2.76e-102j)
| (0.093149207408902995279 - 3.1165804752606004306e-454j)  +/-  (1.15e-44, 2.23e-103j)
| (0.13506815053432248013 + 3.0917924789446836714e-454j)  +/-  (7.1e-45, 1.38e-103j)
| (0.075449098341917554762 + 4.1099836364869563989e-453j)  +/-  (1.03e-43, 2.01e-102j)
| (0.093149207408902995279 + 3.7707406950765388893e-455j)  +/-  (5.84e-45, 1.14e-103j)
| (0.14663143226091226665 - 4.9057022085022716793e-454j)  +/-  (1.06e-44, 2.07e-103j)
| (0.14295575521761188657 - 3.8902035629935563369e-454j)  +/-  (1.51e-45, 2.99e-104j)
| (0.10917900043134000283 + 2.8718964881277615066e-454j)  +/-  (3.61e-46, 6.74e-105j)
