Starting with polynomial:
P : t^20 - 190*t^18 + 14535*t^16 - 581400*t^14 + 13226850*t^12 - 174594420*t^10 + 1309458150*t^8 - 5237832600*t^6 + 9820936125*t^4 - 6547290750*t^2 + 654729075
Extension levels are: 20 29
-------------------------------------------------
Trying to find an order 29 Kronrod extension for:
P1 : t^20 - 190*t^18 + 14535*t^16 - 581400*t^14 + 13226850*t^12 - 174594420*t^10 + 1309458150*t^8 - 5237832600*t^6 + 9820936125*t^4 - 6547290750*t^2 + 654729075
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^49 - 5958374385506986850975968758529/7221058742728048922645934429*t^47 + 2242108027347493733308480543607722/7221058742728048922645934429*t^45 - 56788971336519400679616600394245205/802339860303116546960659381*t^43 + 8786852684760492565232282400749808130/802339860303116546960659381*t^41 - 980031953035821035429414546388678404995/802339860303116546960659381*t^39 + 81680967433251811388339818152498903284970/802339860303116546960659381*t^37 - 5204791011863389455995062372097667657336135/802339860303116546960659381*t^35 + 257325467390169845877288014191393128979163175/802339860303116546960659381*t^33 - 9961784544658468215841936745386568824927291050/802339860303116546960659381*t^31 + 303484621721884995295181390281984204267421243700/802339860303116546960659381*t^29 - 7287536305814358131489006820705245151522890664450/802339860303116546960659381*t^27 + 137742356916334230331236893469878780458058725781100/802339860303116546960659381*t^25 - 2040547466918973509055762888460581987365127607413750/802339860303116546960659381*t^23 + 23521966816801009613134594108759486756478724564382500/802339860303116546960659381*t^21 - 208767741047602931011185987394560649846234413308898750/802339860303116546960659381*t^19 + 1406121267936900258087989250101548806660652447879051875/802339860303116546960659381*t^17 - 7048708187356766256410497840693574970711855617204518125/802339860303116546960659381*t^15 + 25622194456870373629305276647334396345899656183633331250/802339860303116546960659381*t^13 - 65187752952349132463428806615723968530336977919813565625/802339860303116546960659381*t^11 + 110445671954530667118754169307541411568974269524039231250/802339860303116546960659381*t^9 - 115751225666324556011788178195976064045077985823870184375/802339860303116546960659381*t^7 + 66692121631783846590784150847261913416277804470148131250/802339860303116546960659381*t^5 - 17162252197169927508468063833962649263473437775233296875/802339860303116546960659381*t^3 + 1279859128938081913908961497320531987031420297621890625/802339860303116546960659381*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: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   49 out of 49
Indefinite weights: 0 out of 49
Negative weights:   0 out of 49
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (8.2318009120342353938 - 1.9715240304444706938e-617j)  +/-  (1.44e-244, 1.44e-244j)
| (-11.368345050068240144 - 1.2190446867190421066e-631j)  +/-  (2.34e-247, 2.34e-247j)
| (11.368345050068240144 - 6.2463137121145890285e-636j)  +/-  (2.27e-247, 2.27e-247j)
| (-9.602273130322551708 + 2.4009579828772685262e-655j)  +/-  (1.67e-245, 1.67e-245j)
| (7.0448430152905460903 - 4.0838020824902025739e-679j)  +/-  (3.84e-244, 3.84e-244j)
| (-8.2318009120342353938 - 1.4068528795282326816e-701j)  +/-  (1.31e-244, 1.31e-244j)
| (6.0227839355685697769 - 3.4139918783633108639e-718j)  +/-  (5.72e-244, 5.72e-244j)
| (10.402598882430421393 - 9.0820608376314477197e-735j)  +/-  (3.22e-246, 3.22e-246j)
| (-1.0429453488027510315 - 1.4439496376366271302e-748j)  +/-  (1.81e-251, 1.81e-251j)
| (6.5105901570136544864 - 4.7099692810088839535e-740j)  +/-  (5.15e-244, 5.15e-244j)
| (2.8574254307259034314 + 2.2776857274533405125e-748j)  +/-  (6.68e-247, 6.68e-247j)
| (-3.9439673506573162603 - 1.1367301620374746618e-745j)  +/-  (3.14e-245, 3.14e-245j)
| (-8.8883921058094674702 - 3.0082578451895821271e-746j)  +/-  (5.85e-245, 5.85e-245j)
| (8.8883921058094674702 - 6.331017417561344695e-746j)  +/-  (5.24e-245, 5.24e-245j)
| (-6.0227839355685697769 + 1.8224026972924220573e-750j)  +/-  (5.22e-244, 5.22e-244j)
| (5.5787388058932011527 + 5.4543624778175293505e-752j)  +/-  (4.69e-244, 4.69e-244j)
| (4.7345813340460553439 - 2.182322331189318256e-758j)  +/-  (1.8e-244, 1.8e-244j)
| (2.4586636111723677513 - 5.1655395230802530834e-768j)  +/-  (8.62e-248, 8.62e-248j)
| (-0.65951203044171912888 - 7.0935086611011773499e-772j)  +/-  (1.2e-252, 1.2e-252j)
| (-5.1527028621012829286 + 4.2048432744677783126e-763j)  +/-  (3.26e-244, 3.26e-244j)
| (1.0429453488027510315 - 8.5998902560113278082e-776j)  +/-  (2.03e-251, 2.03e-251j)
| (-4.3369967792641141155 + 2.4216224492095347674e-768j)  +/-  (8.75e-245, 8.75e-245j)
| (5.1527028621012829286 - 2.6278171336699667235e-768j)  +/-  (3.12e-244, 3.12e-244j)
| (-2.0449250068333266459 - 3.3179498948414074921e-782j)  +/-  (1.3e-248, 1.3e-248j)
| (9.602273130322551708 + 1.527709648745121601e-776j)  +/-  (1.59e-245, 1.59e-245j)
| (-4.7345813340460553439 + 4.3905546030500365399e-778j)  +/-  (1.88e-244, 1.88e-244j)
| (3.5450020338141992264 - 1.3778631107789611134e-782j)  +/-  (1.09e-245, 1.09e-245j)
| (4.3369967792641141155 + 2.1294238564917797928e-779j)  +/-  (8.37e-245, 8.37e-245j)
| (-2.4586636111723677513 - 2.7026470725306376045e-782j)  +/-  (9.22e-248, 9.22e-248j)
| (-3.1890148165533894149 + 6.0093087461322370727e-781j)  +/-  (3.17e-246, 3.17e-246j)
| (3.9439673506573162603 + 1.0684022786112397723e-780j)  +/-  (3.45e-245, 3.45e-245j)
| (1.4502923809885211394 + 3.6466490064148935801e-785j)  +/-  (3.72e-250, 3.72e-250j)
| (-2.8574254307259034314 + 1.5861857487342781706e-781j)  +/-  (6.97e-247, 6.97e-247j)
| (-6.5105901570136544864 + 1.7508796381747377413e-779j)  +/-  (4.8e-244, 4.8e-244j)
| (-1.7452473208141267149 + 9.5231030830955490001e-789j)  +/-  (3.35e-249, 3.35e-249j)
| (-7.0448430152905460903 - 8.0153817526418692302e-782j)  +/-  (3.88e-244, 3.88e-244j)
| (-10.402598882430421393 + 2.1063781648248732563e-787j)  +/-  (2.9e-246, 2.9e-246j)
| (0.65951203044171912888 - 6.3160530316346661689e-794j)  +/-  (1.24e-252, 1.24e-252j)
| (-7.6190485416797582914 - 1.4781313689925220636e-784j)  +/-  (2.62e-244, 2.62e-244j)
| (-0.34696415708135592797 + 2.2729716058988554174e-815j)  +/-  (1.13e-253, 1.13e-253j)
| (1.1569375339085625416e-815 - 3.1057900214987315706e-816j)  +/-  (5.87e-814, 5.87e-814j)
| (2.0449250068333266459 + 3.8250879885338230857e-795j)  +/-  (1.26e-248, 1.26e-248j)
| (-3.5450020338141992264 - 3.0543368930534797566e-790j)  +/-  (1.05e-245, 1.05e-245j)
| (1.7452473208141267149 - 1.2874042064986601608e-801j)  +/-  (3.26e-249, 3.26e-249j)
| (-5.5787388058932011527 + 7.3391946208311951477e-802j)  +/-  (4.87e-244, 4.87e-244j)
| (-1.4502923809885211394 + 6.7549043170765436935e-820j)  +/-  (3.89e-250, 3.89e-250j)
| (7.6190485416797582914 + 1.4045558492538555324e-827j)  +/-  (2.57e-244, 2.57e-244j)
| (0.34696415708135592797 + 6.6902450582455967149e-858j)  +/-  (1.39e-253, 1.39e-253j)
| (3.1890148165533894149 + 2.2948370891556927767e-847j)  +/-  (3.11e-246, 3.11e-246j)
-------------------------------------------------
The weights are:
| (4.8754151532600637324e-16 + 5.4149196115205175052e-632j)  +/-  (3.28e-81, 8.41e-202j)
| (3.8382694761687099498e-29 + 3.1498101968508171638e-642j)  +/-  (1.54e-88, 3.95e-209j)
| (3.8382694761687099498e-29 - 1.9683045063058325511e-641j)  +/-  (2.03e-88, 5.22e-209j)
| (2.8463049499388545356e-21 + 2.0344100667208167121e-637j)  +/-  (2.76e-85, 7.09e-206j)
| (3.7003806576798477737e-12 + 5.3975479277057181616e-630j)  +/-  (7.49e-79, 1.92e-199j)
| (4.8754151532600637324e-16 + 5.8383324838392010648e-634j)  +/-  (6.25e-83, 1.6e-203j)
| (2.4547566236862586184e-09 + 6.6810258089707093207e-628j)  +/-  (1.28e-76, 3.3e-197j)
| (1.0909130897475524011e-24 + 1.3007453457510333055e-638j)  +/-  (2.54e-87, 6.52e-208j)
| (0.095458091779541977841 - 6.7144630480404546479e-622j)  +/-  (7.48e-49, 1.92e-169j)
| (1.2763038499638780912e-10 - 6.5728836849494374239e-629j)  +/-  (7.49e-78, 1.92e-198j)
| (0.0024478197023557979575 + 5.8172971921462476262e-623j)  +/-  (2.28e-66, 5.85e-187j)
| (6.6777144512126947068e-05 - 9.2310060154432357422e-625j)  +/-  (3.58e-73, 9.18e-194j)
| (1.9026925351232063825e-18 - 1.3690370534070228718e-635j)  +/-  (6.99e-86, 1.79e-206j)
| (1.9026925351232063825e-18 + 3.5696760518740244125e-634j)  +/-  (2.32e-84, 5.95e-205j)
| (2.4547566236862586184e-09 + 1.0353510530124973909e-628j)  +/-  (1.31e-80, 3.37e-201j)
| (2.9946659952927145098e-08 - 5.0703745913187485816e-627j)  +/-  (8.82e-77, 2.26e-197j)
| (2.2122687995231763886e-06 - 1.6194135078328872974e-625j)  +/-  (1.84e-75, 4.73e-196j)
| (0.008178801140579542203 - 1.1712050088713839135e-622j)  +/-  (1.66e-67, 4.25e-188j)
| (0.1095479511068245169 + 1.1266336973289145202e-621j)  +/-  (9.95e-58, 2.55e-178j)
| (2.9027920907897091881e-07 + 7.0744680617268188145e-627j)  +/-  (1.91e-79, 4.9e-200j)
| (0.095458091779541977841 - 8.6627058369145927105e-622j)  +/-  (2.37e-59, 6.08e-180j)
| (1.2802737307959284297e-05 + 2.1754963912511713937e-625j)  +/-  (3.25e-77, 8.33e-198j)
| (2.9027920907897091881e-07 + 3.0751941944247482907e-626j)  +/-  (5.95e-77, 1.53e-197j)
| (0.01895040019208788374 + 1.9754797599009415091e-622j)  +/-  (1.04e-69, 2.68e-190j)
| (2.8463049499388545356e-21 - 2.647395494651478121e-636j)  +/-  (8.95e-88, 2.3e-208j)
| (2.2122687995231763886e-06 - 4.3677908895241272574e-626j)  +/-  (1.5e-78, 3.85e-199j)
| (0.00028939794210866729925 + 9.6736263854790464396e-624j)  +/-  (1.15e-74, 2.95e-195j)
| (1.2802737307959284297e-05 + 7.0204747370281872033e-625j)  +/-  (3.62e-76, 9.29e-197j)
| (0.008178801140579542203 - 6.3248208803217860739e-623j)  +/-  (8.99e-74, 2.31e-194j)
| (0.00079741440044646681239 - 1.2657592947080872945e-623j)  +/-  (1.37e-76, 3.52e-197j)
| (6.6777144512126947068e-05 - 2.6212442359692743224e-624j)  +/-  (2e-76, 5.14e-197j)
| (0.052791321859645850155 + 7.6322204818748837207e-622j)  +/-  (4.76e-71, 1.22e-191j)
| (0.0024478197023557979575 + 2.8193436070827658762e-623j)  +/-  (1.2e-75, 3.09e-196j)
| (1.2763038499638780912e-10 - 7.6740048727827764804e-630j)  +/-  (2.89e-86, 7.41e-207j)
| (0.020201687104151906306 - 4.2243404188437099328e-622j)  +/-  (3.44e-74, 8.84e-195j)
| (3.7003806576798477737e-12 + 4.1937628227253976384e-631j)  +/-  (5.89e-88, 1.51e-208j)
| (1.0909130897475524011e-24 - 1.5152918192714714345e-639j)  +/-  (2.68e-96, 6.87e-217j)
| (0.1095479511068245169 + 1.3228830715691610144e-621j)  +/-  (1.1e-75, 2.83e-196j)
| (5.8708726412307248951e-14 - 1.7859726934144662959e-632j)  +/-  (1.75e-89, 4.5e-210j)
| (0.11788096877974689582 - 1.5036341889972216886e-621j)  +/-  (6.84e-76, 1.75e-196j)
| (0.14674806205975053228 + 1.6011046253211333898e-621j)  +/-  (3.57e-76, 9.14e-197j)
| (0.01895040019208788374 + 3.2813756671127246237e-622j)  +/-  (5.74e-79, 1.47e-199j)
| (0.00028939794210866729925 + 3.8498004509590301235e-624j)  +/-  (5.3e-81, 1.36e-201j)
| (0.020201687104151906306 - 6.4975101983003700788e-622j)  +/-  (1.41e-78, 3.6e-199j)
| (2.9946659952927145098e-08 - 9.7404004238198336349e-628j)  +/-  (4.72e-85, 1.21e-205j)
| (0.052791321859645850155 + 5.3457415397923191184e-622j)  +/-  (9.15e-79, 2.35e-199j)
| (5.8708726412307248951e-14 - 4.6200040442732104902e-631j)  +/-  (1.58e-90, 4.09e-211j)
| (0.11788096877974689582 - 1.6359659506196592415e-621j)  +/-  (4.11e-79, 1.38e-199j)
| (0.00079741440044646681239 - 2.8666700089783751494e-623j)  +/-  (1.57e-81, 3.89e-202j)
