Starting with polynomial:
P : 262144*t^18 - 20054016*t^16 + 601620480*t^14 - 9124577280*t^12 + 75277762560*t^10 - 338749931520*t^8 + 790416506880*t^6 - 846874828800*t^4 + 317578060800*t^2 - 17643225600
Extension levels are: 18 29
-------------------------------------------------
Trying to find an order 29 Kronrod extension for:
P1 : 262144*t^18 - 20054016*t^16 + 601620480*t^14 - 9124577280*t^12 + 75277762560*t^10 - 338749931520*t^8 + 790416506880*t^6 - 846874828800*t^4 + 317578060800*t^2 - 17643225600
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 262144*t^47 - 4001233181971193264353432174592/34536388190176557658117*t^45 + 795512951408904107277888054558720/34536388190176557658117*t^43 - 94623103242460184060758766482391040/34536388190176557658117*t^41 + 7550126411711242969995188483511336960/34536388190176557658117*t^39 - 429345198334962499510276910291624140800/34536388190176557658117*t^37 + 18040420238358204364758540186651137740800/34536388190176557658117*t^35 - 30158344330922167715180359247051142604800/1817704641588239876743*t^33 + 13957711435089738609522978672028496443852800/34536388190176557658117*t^31 - 263004474667604424999612247655956303643520000/34536388190176557658117*t^29 + 3849994433080483672562098793988938842408588800/34536388190176557658117*t^27 - 43809972271101954126147065471819830954017619200/34536388190176557658117*t^25 + 386481202676560065985825589410447988832956400000/34536388190176557658117*t^23 - 2627379616585596252634281712804120104177994920000/34536388190176557658117*t^21 + 13633709950951299619733442795035153169122166420000/34536388190176557658117*t^19 - 147560751078545736802624650065200266295370310000/95668665346749467197*t^17 + 8095311955404572116057902609916377656878778047500/1817704641588239876743*t^15 - 16840702657166814601727263303834331581712501531250/1817704641588239876743*t^13 + 24378577682871610020076939467639284190688165865625/1817704641588239876743*t^11 - 46770619343749748736243484345523735856820175559375/3635409283176479753486*t^9 + 55320492496032159931706082408097641358419554578125/7270818566352959506972*t^7 - 35973100298760930489856292995027013720579954109375/14541637132705919013944*t^5 + 10494560168710566235527817684196730065104163859375/29083274265411838027888*t^3 - 877327576992538328297354672389431885255636890625/58166548530823676055776*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
-------------------------------------------------
The nodes are:
| (9.3526233256604955528 + 1.6556974014792996197e-942j)  +/-  (4.8e-249, 4.8e-249j)
| (-7.6804934628128603994 + 4.2595117583922314139e-941j)  +/-  (3.06e-247, 3.06e-247j)
| (6.4528974998190770993 - 1.6139083767939446683e-937j)  +/-  (9.35e-246, 9.35e-246j)
| (-4.248117873568126463 - 4.6609989298344489068e-941j)  +/-  (6.35e-245, 6.35e-245j)
| (7.0126055987763877907 + 3.0962415737689672064e-939j)  +/-  (2.46e-246, 2.46e-246j)
| (-6.4528974998190770993 - 2.6632552755131298074e-942j)  +/-  (9e-246, 9e-246j)
| (-5.0483640088744667684 + 1.0611752953524948185e-941j)  +/-  (6e-245, 6e-245j)
| (-9.3526233256604955528 - 7.0912794671151682708e-951j)  +/-  (4.22e-249, 4.22e-249j)
| (-2.6545256213993420993 + 2.2133320669026421416e-945j)  +/-  (3.68e-246, 3.68e-246j)
| (5.9501702649557581298 - 1.0994096340548874863e-946j)  +/-  (2.49e-245, 2.49e-245j)
| (5.0483640088744667684 + 2.5357503030213971788e-957j)  +/-  (5.89e-245, 5.89e-245j)
| (-3.5737690684862660795 - 1.1213461940704422781e-967j)  +/-  (4.52e-245, 4.52e-245j)
| (7.6804934628128603994 + 9.7710578611005201538e-973j)  +/-  (3.12e-247, 3.12e-247j)
| (-1.5450496457849742401 - 4.0933804999080841959e-976j)  +/-  (8.06e-249, 8.06e-249j)
| (1.8355316042616288923 - 1.9416222647918544371e-973j)  +/-  (5.32e-248, 5.32e-248j)
| (1.5450496457849742401 - 6.2878475351292018184e-976j)  +/-  (8.14e-249, 8.14e-249j)
| (3.8916574885321813658 - 6.1823487249248928188e-972j)  +/-  (5.74e-245, 5.74e-245j)
| (-5.9501702649557581298 + 8.8486997227674267505e-980j)  +/-  (2.29e-245, 2.29e-245j)
| (-2.9613775055316068448 + 1.7293528130007213755e-980j)  +/-  (8.88e-246, 8.88e-246j)
| (-7.0126055987763877907 - 6.2095225745944805221e-982j)  +/-  (2.41e-246, 2.41e-246j)
| (2.3862990891666860003 + 3.6229882923409714811e-982j)  +/-  (1.21e-246, 1.21e-246j)
| (0.77668291926741166132 - 6.8590341805212077446e-987j)  +/-  (1.3e-251, 1.3e-251j)
| (-5.4850856999873278794 - 3.7987549926355918089e-981j)  +/-  (4.51e-245, 4.51e-245j)
| (-3.8916574885321813658 + 9.7889425744078492918e-981j)  +/-  (5.64e-245, 5.64e-245j)
| (-1.3009208583896173657 - 2.0088683146437508767e-985j)  +/-  (1.35e-249, 1.35e-249j)
| (2.9613775055316068448 + 9.9830299220893156439e-980j)  +/-  (9.73e-246, 9.73e-246j)
| (3.273177238246241367 + 8.9720042363176436162e-990j)  +/-  (2.16e-245, 2.16e-245j)
| (-4.6358895140989053647 + 8.1057983725555819766e-1000j)  +/-  (6.65e-245, 6.65e-245j)
| (-2.1279251274969468424 - 2.8375236519183139765e-1007j)  +/-  (3.06e-247, 3.06e-247j)
| (-1.0570462082812796631 - 9.2953686187121352368e-1013j)  +/-  (1.85e-250, 1.85e-250j)
| (4.248117873568126463 - 2.189948992516104114e-1006j)  +/-  (7.22e-245, 7.22e-245j)
| (5.4850856999873278794 - 4.8210309913912037387e-1020j)  +/-  (4.11e-245, 4.11e-245j)
| (1.0570462082812796631 + 1.7606282320730418986e-1033j)  +/-  (1.72e-250, 1.72e-250j)
| (2.1279251274969468424 + 7.2674511843612555831e-1030j)  +/-  (2.92e-247, 2.92e-247j)
| (-2.3862990891666860003 + 6.6104815048554573145e-1030j)  +/-  (1.31e-246, 1.31e-246j)
| (-1.8355316042616288923 - 7.6377843002923790241e-1031j)  +/-  (5.28e-248, 5.28e-248j)
| (0.50590480558515527252 + 3.6364334756625980367e-1036j)  +/-  (9.69e-253, 9.69e-253j)
| (1.3009208583896173657 - 1.2242948193314536089e-1032j)  +/-  (1.4e-249, 1.4e-249j)
| (-3.273177238246241367 - 1.0821875365115733295e-1027j)  +/-  (2.18e-245, 2.18e-245j)
| (-0.77668291926741166132 + 1.7837567629381562605e-1043j)  +/-  (1.43e-251, 1.43e-251j)
| (-0.50590480558515527252 + 1.4184478535466669734e-1045j)  +/-  (9.69e-253, 9.69e-253j)
| (3.5737690684862660795 - 1.9694717242843057765e-1037j)  +/-  (3.97e-245, 3.97e-245j)
| (4.6358895140989053647 + 3.2713642253341192277e-1059j)  +/-  (6.67e-245, 6.67e-245j)
| (0.25826775051909675926 - 7.7794945343442208852e-1072j)  +/-  (6.73e-254, 6.73e-254j)
| (2.6545256213993420993 + 4.9538962798291146483e-1068j)  +/-  (3.56e-246, 3.56e-246j)
| (-2.9652964430539664422e-1090 + 3.5479617882817764891e-1090j)  +/-  (2.17e-1088, 2.17e-1088j)
| (-0.25826775051909675926 + 9.3598557113611998768e-1077j)  +/-  (6.73e-254, 6.73e-254j)
-------------------------------------------------
The weights are:
| (1.1167074811891485635e-36 + 4.4055696865156703796e-966j)  +/-  (1.31e-95, 1.08e-218j)
| (1.036879606220490004e-26 - 1.9512390629156901934e-961j)  +/-  (2.59e-92, 2.13e-215j)
| (2.448870773020586436e-19 + 3.0790065536950756043e-955j)  +/-  (1.14e-88, 9.42e-212j)
| (3.065990633660730095e-09 - 9.9815176483418888061e-949j)  +/-  (1.39e-81, 1.15e-204j)
| (1.4872762673720106606e-22 + 8.6473398342275058179e-958j)  +/-  (2.43e-90, 2e-213j)
| (2.448870773020586436e-19 - 6.7973994257725828623e-957j)  +/-  (1.51e-89, 1.25e-212j)
| (2.0447649806417651894e-12 + 8.1985816829495965253e-952j)  +/-  (3.67e-85, 3.03e-208j)
| (1.1167074811891485635e-36 + 6.6646360562552400623e-967j)  +/-  (2.51e-97, 2.07e-220j)
| (0.00014321368580669978572 + 1.1542078318995657553e-945j)  +/-  (1.81e-75, 1.49e-198j)
| (1.1436604748500779872e-16 - 3.4863805768932287329e-954j)  +/-  (4.19e-89, 3.46e-212j)
| (2.0447649806417651894e-12 - 8.0601267804191298906e-952j)  +/-  (2.94e-87, 2.42e-210j)
| (4.8433174343263403843e-07 - 1.8863247620536006844e-947j)  +/-  (2.29e-81, 1.89e-204j)
| (1.036879606220490004e-26 - 1.6485409243804439773e-960j)  +/-  (5.95e-94, 4.91e-217j)
| (0.014072793723217543311 + 4.7499703516537161835e-944j)  +/-  (2.43e-71, 2e-194j)
| (0.0058280480388568455597 - 1.6296042165665157512e-944j)  +/-  (5.96e-74, 4.92e-197j)
| (0.014072793723217543311 + 4.2752468820044627248e-944j)  +/-  (1.19e-71, 9.85e-195j)
| (5.0345017726061929213e-08 + 1.2284497929238251579e-948j)  +/-  (1.4e-84, 1.16e-207j)
| (1.1436604748500779872e-16 + 4.0660180998510614282e-955j)  +/-  (3.04e-90, 2.51e-213j)
| (2.7615179406664064649e-05 - 2.8394016147196001114e-946j)  +/-  (8.78e-81, 7.24e-204j)
| (1.4872762673720106606e-22 + 6.2902094802074736735e-959j)  +/-  (1.52e-93, 1.25e-216j)
| (0.00047441320154611703898 - 2.8687082823054100901e-945j)  +/-  (4.94e-81, 4.07e-204j)
| (0.087324133833087463374 - 1.7662241348177849793e-943j)  +/-  (1.82e-75, 1.5e-198j)
| (2.1789243080202465297e-14 - 1.6606194238031372503e-953j)  +/-  (3.92e-89, 3.23e-212j)
| (5.0345017726061929213e-08 + 4.5741794098483459499e-948j)  +/-  (1.25e-84, 1.03e-207j)
| (0.023553819351038540575 - 9.4192050281637242554e-944j)  +/-  (1.77e-75, 1.46e-198j)
| (2.7615179406664064649e-05 - 1.8883483013930207712e-946j)  +/-  (1.04e-84, 8.58e-208j)
| (3.8278662185744766505e-06 + 4.1287279428839034024e-947j)  +/-  (5.38e-86, 4.44e-209j)
| (1.0484647924424920897e-10 - 2.583608525110329093e-950j)  +/-  (1.27e-87, 1.05e-210j)
| (0.0016872738637101792995 + 8.3032614110416707435e-945j)  +/-  (1.36e-81, 1.12e-204j)
| (0.049480658563113584616 + 1.3528699907758134324e-943j)  +/-  (1.29e-78, 1.06e-201j)
| (3.065990633660730095e-09 - 1.2763005764834660263e-949j)  +/-  (1.36e-89, 1.12e-212j)
| (2.1789243080202465297e-14 + 5.3405270154190941099e-953j)  +/-  (9.53e-93, 7.86e-216j)
| (0.049480658563113584616 + 1.2711354792891738585e-943j)  +/-  (7.76e-80, 6.4e-203j)
| (0.0016872738637101792995 + 6.9080839401239849592e-945j)  +/-  (4.71e-83, 3.88e-206j)
| (0.00047441320154611703898 - 3.6278232665090185472e-945j)  +/-  (1.97e-83, 1.63e-206j)
| (0.0058280480388568455597 - 1.8737400577018898518e-944j)  +/-  (2.09e-82, 1.72e-205j)
| (0.11152449591621729239 + 2.5756840563967337172e-943j)  +/-  (2.85e-81, 2.35e-204j)
| (0.023553819351038540575 - 8.6781499878264915087e-944j)  +/-  (5.2e-82, 4.29e-205j)
| (3.8278662185744766505e-06 + 7.2936605950836256733e-947j)  +/-  (9.28e-86, 7.65e-209j)
| (0.087324133833087463374 - 1.8440486606776740851e-943j)  +/-  (5.35e-82, 4.41e-205j)
| (0.11152449591621729239 + 2.646055025102627539e-943j)  +/-  (2.55e-82, 2.1e-205j)
| (4.8433174343263403843e-07 - 8.3386764543271149621e-948j)  +/-  (4.95e-89, 4.08e-212j)
| (1.0484647924424920897e-10 + 1.0850370294396651968e-950j)  +/-  (4.52e-92, 3.73e-215j)
| (0.13131508902490230233 - 3.2022459901421892437e-943j)  +/-  (2.26e-84, 1.86e-207j)
| (0.00014321368580669978572 + 8.5241111950382717041e-946j)  +/-  (4.57e-87, 3.77e-210j)
| (0.1491281598064265055 + 3.3665351774255908389e-943j)  +/-  (8.79e-85, 7.27e-208j)
| (0.13131508902490230233 - 3.2456161540220500265e-943j)  +/-  (6.88e-85, 5.6e-208j)
