Starting with polynomial:
P : 15801325804719/4194304*t^25 - 24185702762325/1048576*t^23 + 130191123380175/2097152*t^21 - 101259762629025/1048576*t^19 + 402684172315425/4194304*t^17 - 33393321606645/524288*t^15 + 29968365544425/1048576*t^13 - 4512611027925/524288*t^11 + 7091245901025/4194304*t^9 - 214886239425/1048576*t^7 + 29113619535/2097152*t^5 - 456326325/1048576*t^3 + 16900975/4194304*t
Extension levels are: 25 26
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P1 : 15801325804719/4194304*t^25 - 24185702762325/1048576*t^23 + 130191123380175/2097152*t^21 - 101259762629025/1048576*t^19 + 402684172315425/4194304*t^17 - 33393321606645/524288*t^15 + 29968365544425/1048576*t^13 - 4512611027925/524288*t^11 + 7091245901025/4194304*t^9 - 214886239425/1048576*t^7 + 29113619535/2097152*t^5 - 456326325/1048576*t^3 + 16900975/4194304*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 15801325804719/4194304*t^51 - 10673634343069269/222298112*t^49 + 23326249653164929653/80999874560*t^47 - 4006062564012627264237/3707585167360*t^45 + 159577319738215998137645530677/56113115080740044800*t^43 - 1559893582858087962178663772439/279528044770466201600*t^41 + 10638853855760176687551397408471653201/1255949729123545450446848000*t^39 - 123275978125997190758607996167010266043/12102788298826892522487808000*t^37 + 120960969454791211339671099722254925797214263203/12272512476702789379390467124756480000*t^35 - 135845739078098387119641614123375823097168304781/17518869736389109695905245551709388800*t^33 + 1119413580327626577191823855183058886652448326317252566791/224283615825076976875415016946149730919219200000*t^31 - 51992409205301219232011174932117038399187335296575833130557/19721666127891427807522288649196666111964979200000*t^29 + 12965223980791473699129533607010574693998852999993980640210529843327/11342282024674081715178154399782504349514496993148928000000*t^27 - 376005714143592894057048313006916328987684978658739367087354782961/926257237762290186293439419396722235014280956297216000000*t^25 + 88296552676415850134043488387234723441792079954453007462674194049/751426184134657913630552728985590913155335425796116480000*t^23 - 653797249584476684688185485291066983165118320344201036238424671/23760511751293530865788228584524613854714163661537280000*t^21 + 1960638236996477423599534445125495026974644261662214042672812753/380168188020696493852611657352393821675426618584596480000*t^19 - 76293104025613917094264296501793215383830822436995410342740841/100044260005446445750687278250629953072480689101209600000*t^17 + 1091316981339749374493558112244022886178729326401289516360693/12505532500680805718835909781328744134060086137651200000*t^15 - 9419758973264594871300926447455372868004959819914155503379/1250553250068080571883590978132874413406008613765120000*t^13 + 4738444910409675106221882262249190422556497140361571076279/10004426000544644575068727825062995307248068910120960000*t^11 - 206757385233507138910172481384008105466285539850355196901/10004426000544644575068727825062995307248068910120960000*t^9 + 331308686755532981323280794183912399970725928062957647/568433295485491169037995899151306551548185733529600000*t^7 - 1306719840068345111413942709617484178374478270083712801/137560857507488862907195007594616185474660947514163200000*t^5 + 133271030231119226709288228735468346710023276134491/1818986545553571740921586877284180964954194347294720000*t^3 - 37195802433697605465648415993798269768915251846853/220097372011982180651512012151385896759457516022661120000*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 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:
| (0.99926210499260983419 - 2.2545539781884911533e-902j)  +/-  (8.92e-238, 8.92e-238j)
| (-0.99555696979049809791 - 1.245049972846044755e-899j)  +/-  (2.32e-237, 2.32e-237j)
| (-0.94297457122897433941 + 1.0929022952841126443e-910j)  +/-  (1.15e-237, 1.15e-237j)
| (-0.99926210499260983419 - 1.4908688353670995885e-912j)  +/-  (8.97e-238, 8.97e-238j)
| (0.89499199787827536885 - 6.1785351716522629299e-924j)  +/-  (2.7e-238, 2.7e-238j)
| (0.92074711528170156175 + 1.808730953139056276e-924j)  +/-  (6.22e-238, 6.22e-238j)
| (0.98803579453407724764 - 6.7853899212829568724e-922j)  +/-  (2.88e-237, 2.88e-237j)
| (-0.92074711528170156175 - 6.425135915362976586e-923j)  +/-  (6.23e-238, 6.23e-238j)
| (-0.41788538219303774885 - 3.5694472017388225213e-942j)  +/-  (7.75e-247, 7.75e-247j)
| (-0.96161498642584251242 + 2.9165822415102767514e-932j)  +/-  (1.99e-237, 1.99e-237j)
| (0.86584706529327559545 + 7.0815265212066868902e-946j)  +/-  (9.14e-239, 9.14e-239j)
| (0.67356636847346836449 - 1.6891957994577015679e-949j)  +/-  (5.98e-242, 5.98e-242j)
| (-0.89499199787827536885 - 9.2304443660728323512e-944j)  +/-  (2.71e-238, 2.71e-238j)
| (-0.79787379799850005941 + 6.7108026794095272056e-952j)  +/-  (8.59e-240, 8.59e-240j)
| (0.99555696979049809791 + 4.5106466500681576484e-953j)  +/-  (2.35e-237, 2.35e-237j)
| (0.79787379799850005941 - 2.6218798410305630787e-961j)  +/-  (8.63e-240, 8.63e-240j)
| (0.83344262876083400142 - 6.7832206562331208126e-960j)  +/-  (2.9e-239, 2.9e-239j)
| (-0.36117230580938783774 - 2.2856491019242563271e-968j)  +/-  (5.24e-248, 5.24e-248j)
| (-0.71776640681308438819 + 8.1653859160017308919e-959j)  +/-  (3.63e-241, 3.63e-241j)
| (-0.9766639214595175115 - 1.1351860626554744175e-966j)  +/-  (2.85e-237, 2.85e-237j)
| (0.94297457122897433941 + 1.4085827113619696411e-980j)  +/-  (1.19e-237, 1.19e-237j)
| (0.71776640681308438819 + 6.8419514529999212535e-994j)  +/-  (3.65e-241, 3.65e-241j)
| (-0.98803579453407724764 - 2.5879617408028010087e-996j)  +/-  (3.13e-237, 3.13e-237j)
| (-0.83344262876083400142 + 1.1389831346281119665e-1003j)  +/-  (3.22e-239, 3.22e-239j)
| (-0.75925926303735763058 + 1.729106158040463998e-1009j)  +/-  (1.84e-240, 1.84e-240j)
| (0.18371893942104889202 - 3.6616112065592596594e-1025j)  +/-  (9.3e-252, 9.3e-252j)
| (0.75925926303735763058 - 4.4950274761554102085e-1013j)  +/-  (1.85e-240, 1.85e-240j)
| (0.36117230580938783774 + 2.5860922470176743498e-1022j)  +/-  (5.14e-248, 5.14e-248j)
| (0.9766639214595175115 + 2.79452979951445165e-1010j)  +/-  (2.74e-237, 2.74e-237j)
| (-0.67356636847346836449 - 3.0376335247967529056e-1016j)  +/-  (5.87e-242, 5.87e-242j)
| (-0.86584706529327559545 + 9.8654043959267142281e-1018j)  +/-  (1.02e-238, 1.02e-238j)
| (0.30308953893110783017 + 9.5329373707618402931e-1029j)  +/-  (3.17e-249, 3.17e-249j)
| (0.62681009901031741279 - 2.2492572256753909208e-1021j)  +/-  (8.19e-243, 8.19e-243j)
| (0.96161498642584251242 - 1.5625329562464964249e-1026j)  +/-  (2.15e-237, 2.15e-237j)
| (-0.62681009901031741279 - 5.8995978168451113145e-1033j)  +/-  (9.22e-243, 9.22e-243j)
| (-0.57766293024122296772 + 2.4627632589339701085e-1035j)  +/-  (9.4e-244, 9.4e-244j)
| (-0.061544483005685078887 - 1.2671988067037834143e-1048j)  +/-  (1.94e-254, 1.94e-254j)
| (0.57766293024122296772 + 7.5475992108974786519e-1037j)  +/-  (9.59e-244, 9.59e-244j)
| (0.12286469261071039639 - 2.2350625616145716219e-1047j)  +/-  (4.63e-253, 4.63e-253j)
| (-0.18371893942104889202 + 1.1802909487643442735e-1045j)  +/-  (9.46e-252, 9.46e-252j)
| (-0.5263252843347191826 - 2.7006965829940358786e-1039j)  +/-  (1.02e-244, 1.02e-244j)
| (-0.12286469261071039639 - 1.3301385728075717881e-1048j)  +/-  (4.95e-253, 4.95e-253j)
| (0.41788538219303774885 - 4.9524577380443921186e-1041j)  +/-  (7.56e-247, 7.56e-247j)
| (0.5263252843347191826 - 3.5875043341286629824e-1040j)  +/-  (9.68e-245, 9.68e-245j)
| (-1.8607756596527782729e-1058 - 6.4887489965422422504e-1059j)  +/-  (1.01e-1056, 1.01e-1056j)
| (-0.47300273144571496052 + 4.9674412486365314949e-1043j)  +/-  (8.78e-246, 8.78e-246j)
| (-0.30308953893110783017 - 1.4766683663164606437e-1046j)  +/-  (3.07e-249, 3.07e-249j)
| (0.061544483005685078887 + 1.4859961855924130017e-1051j)  +/-  (1.94e-254, 1.94e-254j)
| (0.47300273144571496052 - 6.2980763353843477006e-1042j)  +/-  (8.67e-246, 8.67e-246j)
| (0.24386688372098843205 + 1.2164321269229884543e-1046j)  +/-  (1.62e-250, 1.62e-250j)
| (-0.24386688372098843205 + 3.9976524100656222446e-1047j)  +/-  (1.73e-250, 1.73e-250j)
-------------------------------------------------
The weights are:
| (0.0019873838923303159265 + 3.5777346658299267427e-902j)  +/-  (7.53e-64, 1e-177j)
| (0.005561932135356713758 - 3.679049773555023423e-900j)  +/-  (3.37e-64, 4.49e-178j)
| (0.020435371145882835457 - 4.630425348285470936e-900j)  +/-  (1.48e-64, 1.98e-178j)
| (0.0019873838923303159265 - 6.3691441975540737593e-900j)  +/-  (1.62e-64, 2.16e-178j)
| (0.027475317587851737803 - 1.7821008491754780815e-901j)  +/-  (3.43e-65, 4.58e-179j)
| (0.02400994560695321622 + 1.5567002502499466691e-901j)  +/-  (2.86e-65, 3.81e-179j)
| (0.0094739733861741516072 + 7.5739613601494641182e-902j)  +/-  (1.21e-65, 1.61e-179j)
| (0.02400994560695321622 + 3.8112672110259538275e-900j)  +/-  (1.02e-65, 1.36e-179j)
| (0.055950811220412317308 + 1.1509760425400884705e-900j)  +/-  (4.59e-68, 6.12e-182j)
| (0.016847817709128298232 + 5.8942101583692703726e-900j)  +/-  (1.61e-65, 2.14e-179j)
| (0.030792300167387488891 + 2.0163288168738098316e-901j)  +/-  (1.52e-66, 2.03e-180j)
| (0.04550291304992178891 - 3.2702066969835681808e-901j)  +/-  (3.62e-68, 4.83e-182j)
| (0.027475317587851737803 - 3.2390519148763207459e-900j)  +/-  (9.74e-67, 1.3e-180j)
| (0.03711627148341554356 + 2.2299249250784827491e-900j)  +/-  (2.44e-68, 3.25e-182j)
| (0.005561932135356713758 - 7.0265520721643914733e-902j)  +/-  (8.12e-67, 1.08e-180j)
| (0.03711627148341554356 + 2.499001551156180998e-901j)  +/-  (4.46e-68, 5.95e-182j)
| (0.034002130274329337837 - 2.2559724834365810546e-901j)  +/-  (1.6e-67, 2.13e-181j)
| (0.057437116361567832854 - 1.07574269913021502e-900j)  +/-  (1.27e-70, 1.69e-184j)
| (0.042872845020170049477 + 1.8331715470897330955e-900j)  +/-  (9.04e-70, 1.2e-183j)
| (0.013236229195571674814 - 8.2452429185284727622e-900j)  +/-  (8.87e-68, 1.18e-181j)
| (0.020435371145882835457 - 1.3380582190400569994e-901j)  +/-  (5.83e-69, 7.76e-183j)
| (0.042872845020170049477 + 3.0056470402449075377e-901j)  +/-  (3.86e-70, 5.15e-184j)
| (0.0094739733861741516072 + 1.4957343841260372708e-899j)  +/-  (7.43e-68, 9.9e-182j)
| (0.034002130274329337837 - 2.4934319268048059602e-900j)  +/-  (4.52e-70, 6.02e-184j)
| (0.040083825504032382075 - 2.0134147705082300706e-900j)  +/-  (9.51e-71, 1.27e-184j)
| (0.060539455376045862945 + 6.1124978172825730755e-901j)  +/-  (2.07e-75, 2.75e-189j)
| (0.040083825504032382075 - 2.7481345828684434258e-901j)  +/-  (1.34e-71, 1.78e-185j)
| (0.057437116361567832854 - 5.0458378601715659531e-901j)  +/-  (1.27e-75, 1.69e-189j)
| (0.013236229195571674814 - 9.207272894912515702e-902j)  +/-  (2e-71, 2.67e-185j)
| (0.04550291304992178891 - 1.6794755431323032331e-900j)  +/-  (1.29e-73, 1.72e-187j)
| (0.030792300167387488891 + 2.8192347500405491807e-900j)  +/-  (2.32e-71, 3.09e-185j)
| (0.058689680022394207962 + 5.3853158665317125929e-901j)  +/-  (2.24e-76, 2.99e-190j)
| (0.047982537138836713906 + 3.540919668001396172e-901j)  +/-  (1.04e-74, 1.39e-188j)
| (0.016847817709128298232 + 1.1230573077339474668e-901j)  +/-  (6.95e-72, 9.26e-186j)
| (0.047982537138836713906 + 1.5457765818402317693e-900j)  +/-  (5.07e-75, 6.76e-189j)
| (0.050277679080715671963 - 1.4287779199115180298e-900j)  +/-  (8.21e-76, 1.09e-189j)
| (0.061471189871425316662 + 7.8279721019325008594e-901j)  +/-  (2.24e-79, 2.98e-193j)
| (0.050277679080715671963 - 3.8202270476611962782e-901j)  +/-  (3.17e-77, 4.22e-191j)
| (0.061128509717053048306 - 6.5041509131694523811e-901j)  +/-  (4.26e-79, 5.68e-193j)
| (0.060539455376045862945 + 8.8662412396644619067e-901j)  +/-  (7.63e-80, 1.02e-193j)
| (0.052362885806407475864 + 1.3258509290947402744e-900j)  +/-  (2.89e-78, 3.86e-192j)
| (0.061128509717053048306 - 8.3276954017929259533e-901j)  +/-  (7.92e-80, 1.06e-193j)
| (0.055950811220412317308 + 4.7220798931975817026e-901j)  +/-  (4.81e-80, 6.42e-194j)
| (0.052362885806407475864 + 4.1104828902608080327e-901j)  +/-  (9.9e-80, 1.32e-193j)
| (0.061580818067832935079 - 7.3604890174753958008e-901j)  +/-  (8.23e-81, 1.09e-194j)
| (0.054251129888545490145 - 1.2339963665811508904e-900j)  +/-  (3.69e-80, 4.88e-194j)
| (0.058689680022394207962 + 1.0074082764725568774e-900j)  +/-  (4.2e-81, 5.59e-195j)
| (0.061471189871425316662 + 6.9197186505798303072e-901j)  +/-  (2.19e-81, 2.98e-195j)
| (0.054251129888545490145 - 4.4111931920215055571e-901j)  +/-  (1.41e-81, 1.91e-195j)
| (0.059720340324174059979 - 5.7407397450401480044e-901j)  +/-  (9.31e-82, 1.28e-195j)
| (0.059720340324174059979 - 9.4470530302075327965e-901j)  +/-  (7.96e-82, 9.86e-196j)
