Starting with polynomial:
P : t^24 - 276*t^22 + 31878*t^20 - 2018940*t^18 + 77224455*t^16 - 1853386920*t^14 + 28109701620*t^12 - 265034329560*t^10 + 1490818103775*t^8 - 4638100767300*t^6 + 6957151150950*t^4 - 3794809718700*t^2 + 316234143225
Extension levels are: 24 39
-------------------------------------------------
Trying to find an order 39 Kronrod extension for:
P1 : t^24 - 276*t^22 + 31878*t^20 - 2018940*t^18 + 77224455*t^16 - 1853386920*t^14 + 28109701620*t^12 - 265034329560*t^10 + 1490818103775*t^8 - 4638100767300*t^6 + 6957151150950*t^4 - 3794809718700*t^2 + 316234143225
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^63 - 2151977065208028892643392278423769935753/1510048018601572117403227320260766503*t^61 + 35775295282129932718259622842262682396207467/37751200465039302935080683006519162575*t^59 - 14769275579909983400235467197201696567614216837/37751200465039302935080683006519162575*t^57 + 326830122028872174892850799676861065238987440327/2903938497310715610390821769732243275*t^55 - 181256806274528320673847824643686217109924521898689/7550240093007860587016136601303832515*t^53 + 5956559214019295811079085923442488845359188820635863/1510048018601572117403227320260766503*t^51 - 3866347165353921009353716598729352396676073541269123853/7550240093007860587016136601303832515*t^49 + 403559621050515357163067839792608477788622400946171676423/7550240093007860587016136601303832515*t^47 - 34289343862852260785425834619135479304065681012416393159369/7550240093007860587016136601303832515*t^45 + 478497501775909788045198068541209832217155391324377600482199/1510048018601572117403227320260766503*t^43 - 27581692728172899054222526871331424045990182804040349895355641/1510048018601572117403227320260766503*t^41 + 101425386995404285894021527535444796311134788468792498381796387/116157539892428624415632870789289731*t^39 - 4029431029816273182282148062985729255201304573926656405399467997/116157539892428624415632870789289731*t^37 + 133103534473920772565378074024140672221185341017585502001528713111/116157539892428624415632870789289731*t^35 - 3652424937795659289219536018662670918687780098207679732095753510665/116157539892428624415632870789289731*t^33 + 83064285884887270422561128475146689245837936903079478655070156072665/116157539892428624415632870789289731*t^31 - 1559825666967502293945016941071008437513747578196137576942007968318775/116157539892428624415632870789289731*t^29 + 24060852617817829584426414285582390297652638252955645529778649642345725/116157539892428624415632870789289731*t^27 - 302799570547377845849197556716845144957922204988615813200370986439070675/116157539892428624415632870789289731*t^25 + 3082004860011160997244531395140282767763752403559803776407128304356138125/116157539892428624415632870789289731*t^23 - 25096088705601697414907885242661378520790819137427473308566214473542145875/116157539892428624415632870789289731*t^21 + 161268595677480969890708749298723996416437652314577958376897317773662467625/116157539892428624415632870789289731*t^19 - 803960236799961594710396737858662529437634510254924894110658493467188796375/116157539892428624415632870789289731*t^17 + 3042597447560460313719574662837154234883172863301581338188432559986234724125/116157539892428624415632870789289731*t^15 - 8500401519848579700989480420553431870521293647782994574147799652603719081875/116157539892428624415632870789289731*t^13 + 16895079565528129109466456256861370250961344859296956484774680470819669070625/116157539892428624415632870789289731*t^11 - 22707227585737486439951828246930157869875340715622291184219871099166287759375/116157539892428624415632870789289731*t^9 + 19175156711431571808869328229222865573438096009221943318990249039932531640625/116157539892428624415632870789289731*t^7 - 9068509918891233709451080384914283469316796206820354612914263965363526559375/116157539892428624415632870789289731*t^5 + 45586592451464082201712359826725333658291524270004786629810068114350734375/2701338137033223823619369088123017*t^3 - 122862490700363325562096551579474485114697396887964807033866758769290921875/116157539892428624415632870789289731*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: 0
  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:
| (-9.6014584386530190796 + 6.0481023549459396161e-937j)  +/-  (2.23e-241, 2.23e-241j)
| (-9.0413658234678630519 - 9.8274576764351816552e-937j)  +/-  (5.41e-241, 5.41e-241j)
| (8.5078035191952572051 + 9.9109964172547020477e-943j)  +/-  (1.32e-240, 1.32e-240j)
| (8.0065250009584593347 - 8.3316680248280599631e-941j)  +/-  (3.84e-240, 3.84e-240j)
| (3.5693067640735602471 - 9.664776430943405848e-953j)  +/-  (4.39e-244, 4.39e-244j)
| (11.503740544909313751 + 1.0731287704963362003e-950j)  +/-  (3.71e-243, 3.71e-243j)
| (9.6014584386530190796 - 2.3527979341991561148e-948j)  +/-  (2.34e-241, 2.34e-241j)
| (3.216222253115765696 + 2.7506514257451049487e-953j)  +/-  (8.67e-245, 8.67e-245j)
| (-10.821217854483690317 + 3.1448243242657110928e-948j)  +/-  (1.94e-242, 1.94e-242j)
| (-8.5078035191952572051 - 9.9228123516089777655e-951j)  +/-  (1.24e-240, 1.24e-240j)
| (-7.4378906660216631085 - 1.971935490420543847e-968j)  +/-  (5.1e-240, 5.1e-240j)
| (7.6735616463572532972 + 3.0015071844127551172e-982j)  +/-  (7e-240, 7e-240j)
| (-11.503740544909313751 + 2.4689398824888163857e-990j)  +/-  (3.96e-243, 3.96e-243j)
| (12.268543139733977318 + 2.1313820464434942384e-996j)  +/-  (4.65e-244, 4.65e-244j)
| (-8.0065250009584593347 - 2.9951278173175113125e-990j)  +/-  (3.55e-240, 3.55e-240j)
| (10.192000749682364345 - 5.7386955955810018774e-1003j)  +/-  (8.31e-242, 8.31e-242j)
| (2.2404678516917523625 - 7.6186198201763137324e-1009j)  +/-  (3.67e-247, 3.67e-247j)
| (-4.9780413746391203346 + 6.7778085506973800635e-1002j)  +/-  (5.42e-242, 5.42e-242j)
| (-12.268543139733977318 - 1.5738970407704436047e-1008j)  +/-  (4.62e-244, 4.62e-244j)
| (7.4378906660216631085 - 1.1410774084449021911e-1003j)  +/-  (5.73e-240, 5.73e-240j)
| (5.7327471752512011483 - 4.7412639226131736184e-1008j)  +/-  (3.21e-241, 3.21e-241j)
| (2.5844003445489455872 + 1.9974911109343104636e-1018j)  +/-  (2.88e-246, 2.88e-246j)
| (-5.3580745033201589071 + 2.8853948946596859657e-1011j)  +/-  (1.49e-241, 1.49e-241j)
| (9.0413658234678630519 - 3.1953577720950969956e-1019j)  +/-  (5.78e-241, 5.78e-241j)
| (5.3580745033201589071 - 5.5529485560427940072e-1023j)  +/-  (1.35e-241, 1.35e-241j)
| (-6.989839789049302172 - 4.6740863996031268398e-1035j)  +/-  (2.23e-240, 2.23e-240j)
| (1.2862569822638167543 - 1.5073889099341922584e-1056j)  +/-  (4.9e-250, 4.9e-250j)
| (-13.192077451517192084 - 1.5950313575683725628e-1052j)  +/-  (2.02e-245, 2.02e-245j)
| (6.1209387268892546891 - 3.0907629054047651695e-1046j)  +/-  (5.99e-241, 5.99e-241j)
| (-3.5693067640735602471 + 1.763675511403151831e-1050j)  +/-  (4.15e-244, 4.15e-244j)
| (-3.9245075955983236571 + 3.5178778161647252e-1050j)  +/-  (1.94e-243, 1.94e-243j)
| (-7.6735616463572532972 - 2.0636845690257592271e-1048j)  +/-  (6.59e-240, 6.59e-240j)
| (6.989839789049302172 + 2.2835958274315650208e-1050j)  +/-  (2.03e-240, 2.03e-240j)
| (-10.192000749682364345 + 8.9317065446136407662e-1053j)  +/-  (7.51e-242, 7.51e-242j)
| (-1.2862569822638167543 - 4.5167849200986782446e-1061j)  +/-  (4.54e-250, 4.54e-250j)
| (-4.6053337619370289399 - 2.4262806690307280343e-1053j)  +/-  (2.03e-242, 2.03e-242j)
| (10.821217854483690317 - 3.3851682847631659222e-1054j)  +/-  (2.03e-242, 2.03e-242j)
| (13.192077451517192084 + 1.10942313476299577e-1057j)  +/-  (2.23e-245, 2.23e-245j)
| (4.6053337619370289399 - 3.7943843954893749636e-1054j)  +/-  (2.13e-242, 2.13e-242j)
| (-6.5416750050986344415 + 1.8451061958175095505e-1050j)  +/-  (1.03e-240, 1.03e-240j)
| (4.9780413746391203346 + 6.713187603579248642e-1057j)  +/-  (5.49e-242, 5.49e-242j)
| (-2.5844003445489455872 - 1.2935168414224504869e-1061j)  +/-  (2.98e-246, 2.98e-246j)
| (2.8977286432233136893 - 2.7017811935955518221e-1060j)  +/-  (1.87e-245, 1.87e-245j)
| (-5.7327471752512011483 - 6.1777759953106742399e-1056j)  +/-  (3.04e-241, 3.04e-241j)
| (-1.593480429816420107 + 1.3278363091748986416e-1065j)  +/-  (4.84e-249, 4.84e-249j)
| (-0.62760684965009635821 + 1.1772725304101922006e-1069j)  +/-  (1.83e-252, 1.83e-252j)
| (-0.9534219229321090849 + 3.5765363256153175827e-1068j)  +/-  (3.25e-251, 3.25e-251j)
| (1.593480429816420107 + 6.7931124227001709608e-1066j)  +/-  (5.46e-249, 5.46e-249j)
| (0.9534219229321090849 - 4.260336237509946535e-1069j)  +/-  (3.39e-251, 3.39e-251j)
| (-2.2404678516917523625 + 1.1763922752275031738e-1063j)  +/-  (3.9e-247, 3.9e-247j)
| (-3.216222253115765696 + 5.1247191234836228292e-1062j)  +/-  (8.56e-245, 8.56e-245j)
| (6.5416750050986344415 + 3.1447841187456412856e-1057j)  +/-  (1.05e-240, 1.05e-240j)
| (-6.1209387268892546891 - 1.7703628668260502725e-1061j)  +/-  (6.33e-241, 6.33e-241j)
| (1.8994456715412598548 - 2.8004140737097085151e-1068j)  +/-  (4.09e-248, 4.09e-248j)
| (1.7647378356496809304e-1097 + 1.9844391182114705366e-1097j)  +/-  (1.67e-1095, 1.67e-1095j)
| (-1.8994456715412598548 + 9.9341070898190141947e-1070j)  +/-  (4.21e-248, 4.21e-248j)
| (0.31737009662945231932 - 3.5305074220274721475e-1074j)  +/-  (1.09e-253, 1.09e-253j)
| (-0.31737009662945231932 + 2.7182024966948328008e-1074j)  +/-  (1.4e-253, 1.4e-253j)
| (4.2603836050199054888 - 1.2760062339947601799e-1063j)  +/-  (7.47e-243, 7.47e-243j)
| (0.62760684965009635821 + 1.0255193377568360418e-1074j)  +/-  (1.99e-252, 1.99e-252j)
| (3.9245075955983236571 + 3.8013067995970316847e-1066j)  +/-  (1.94e-243, 1.94e-243j)
| (-4.2603836050199054888 - 5.977683522598443693e-1070j)  +/-  (7.66e-243, 7.66e-243j)
| (-2.8977286432233136893 - 7.0763782751000379342e-1075j)  +/-  (1.82e-245, 1.82e-245j)
-------------------------------------------------
The weights are:
| (2.1962921358838896548e-21 - 8.6200590623997862142e-957j)  +/-  (3.56e-58, 6.72e-178j)
| (3.8686535328678390846e-19 - 2.6088877740948006071e-954j)  +/-  (1.44e-56, 2.71e-176j)
| (3.975316939318314225e-17 + 8.767970759489348654e-955j)  +/-  (9.09e-57, 1.72e-176j)
| (2.2635675293303288692e-15 - 3.2859592671353269479e-953j)  +/-  (2.68e-55, 5.07e-175j)
| (0.0002463624908860775759 - 6.9135362509261149501e-945j)  +/-  (3.94e-36, 7.44e-156j)
| (5.2472194261034773243e-30 - 1.5423505719517090099e-963j)  +/-  (4.65e-66, 8.79e-186j)
| (2.1962921358838896548e-21 + 5.932130682419173456e-958j)  +/-  (1.22e-60, 2.3e-180j)
| (0.00076622465029780081754 + 2.0805967794589809418e-944j)  +/-  (1.47e-34, 2.78e-154j)
| (9.725786669532275831e-27 - 2.01844630644931863e-960j)  +/-  (1.13e-65, 2.13e-185j)
| (3.975316939318314225e-17 + 2.687059975540061964e-953j)  +/-  (2.05e-59, 3.87e-179j)
| (1.5788035862874076968e-13 - 1.2417560132682065424e-950j)  +/-  (2.65e-57, 5.01e-177j)
| (9.8581018900278544492e-15 + 4.0343002297276656983e-952j)  +/-  (4.18e-57, 7.9e-177j)
| (5.2472194261034773243e-30 + 1.3341736235717706481e-962j)  +/-  (3.29e-68, 6.22e-188j)
| (6.794372514247844922e-34 + 6.6904859486707745122e-966j)  +/-  (1.78e-70, 3.36e-190j)
| (2.2635675293303288692e-15 - 5.4501846307845466057e-952j)  +/-  (4.77e-59, 9.02e-179j)
| (6.7346001333814522033e-24 - 1.1855266735344826369e-959j)  +/-  (6.71e-65, 1.27e-184j)
| (0.01136220418225960136 - 1.9585428525354234277e-943j)  +/-  (1.2e-35, 2.26e-155j)
| (6.3126243802851062525e-07 - 1.5717654405802980329e-946j)  +/-  (2.2e-52, 4.15e-172j)
| (6.794372514247844922e-34 - 4.5362278558588211081e-965j)  +/-  (7.92e-71, 1.5e-190j)
| (1.5788035862874076968e-13 - 1.2305417563814357596e-951j)  +/-  (1.12e-57, 2.12e-177j)
| (1.0968792815842538913e-08 - 1.9393678596117754598e-948j)  +/-  (1.11e-54, 2.1e-174j)
| (0.0046705796541537823091 + 1.0226432101621807506e-943j)  +/-  (1.8e-40, 3.41e-160j)
| (8.7704851532998711338e-08 + 3.7658245477867855051e-947j)  +/-  (1.9e-55, 3.6e-175j)
| (3.8686535328678390846e-19 - 2.3945630184751414124e-956j)  +/-  (2.27e-62, 4.29e-182j)
| (8.7704851532998711338e-08 + 9.7276672920565599699e-948j)  +/-  (6.77e-54, 1.28e-173j)
| (4.4795920344389959217e-12 + 4.5400991025607597589e-950j)  +/-  (5.53e-60, 1.05e-179j)
| (0.056459145174430878759 + 9.8095032290125152104e-943j)  +/-  (1.05e-34, 1.98e-154j)
| (6.8964646644691209372e-39 + 4.0472738265830232881e-968j)  +/-  (1.32e-75, 2.48e-195j)
| (1.1783462028882194692e-09 + 3.1979068890376738137e-949j)  +/-  (2.16e-56, 4.08e-176j)
| (0.0002463624908860775759 - 1.5847969114889420579e-944j)  +/-  (5.16e-52, 9.75e-172j)
| (6.229624995347073106e-05 + 5.9546203075814854549e-945j)  +/-  (3.27e-53, 6.18e-173j)
| (9.8581018900278544492e-15 + 4.8550202391486076566e-951j)  +/-  (3.47e-61, 6.55e-181j)
| (4.4795920344389959217e-12 + 5.9094658814994984444e-951j)  +/-  (6.96e-60, 1.32e-179j)
| (6.7346001333814522033e-24 + 2.2087313111463924619e-958j)  +/-  (5.07e-68, 9.58e-188j)
| (0.056459145174430878759 + 1.3041330518307515918e-942j)  +/-  (6.3e-43, 1.19e-162j)
| (3.5667408986129708839e-06 + 6.3690412328147032702e-946j)  +/-  (6.31e-56, 1.19e-175j)
| (9.725786669532275831e-27 + 1.7123426229638360856e-961j)  +/-  (1.28e-70, 2.41e-190j)
| (6.8964646644691209372e-39 - 7.404684111228827936e-969j)  +/-  (6.8e-78, 1.28e-197j)
| (3.5667408986129708839e-06 + 2.0861874557170731745e-946j)  +/-  (2.13e-57, 4.02e-177j)
| (8.8814942895009644888e-11 - 2.6712427598672232198e-949j)  +/-  (5.3e-62, 1e-181j)
| (6.3126243802851062525e-07 - 4.5950542984158219164e-947j)  +/-  (5.79e-58, 1.09e-177j)
| (0.0046705796541537823091 + 1.8346496423403923429e-943j)  +/-  (4.64e-55, 8.76e-175j)
| (0.0018234710569882218529 - 5.1977944196843600344e-944j)  +/-  (1.37e-53, 2.6e-173j)
| (1.0968792815842538913e-08 - 8.5641572270180940735e-948j)  +/-  (6.62e-61, 1.25e-180j)
| (0.033123387519101784457 - 9.9439948399833565581e-943j)  +/-  (3.05e-52, 5.77e-172j)
| (0.10318735584507488576 + 2.0198637455603638986e-942j)  +/-  (8.5e-50, 1.61e-169j)
| (0.084793427559118872089 - 1.6154221406610276385e-942j)  +/-  (6.59e-50, 1.25e-169j)
| (0.033123387519101784457 - 6.9788675564747232362e-943j)  +/-  (2.9e-52, 5.48e-172j)
| (0.084793427559118872089 - 1.3088596351547573448e-942j)  +/-  (1.64e-50, 3.1e-170j)
| (0.01136220418225960136 - 3.2390293814498861029e-943j)  +/-  (8.42e-55, 1.59e-174j)
| (0.00076622465029780081754 + 4.3577080571008389626e-944j)  +/-  (4.44e-57, 8.38e-177j)
| (8.8814942895009644888e-11 - 4.348290182549790026e-950j)  +/-  (1.36e-62, 2.56e-182j)
| (1.1783462028882194692e-09 + 1.6393467459055610394e-948j)  +/-  (5.19e-62, 9.8e-182j)
| (0.021323523449157644126 + 3.9972950012803654148e-943j)  +/-  (3.31e-54, 6.26e-174j)
| (0.12817595596608371203 + 2.2754963999294053746e-942j)  +/-  (3.71e-53, 7.02e-173j)
| (0.021323523449157644126 + 6.1078563115573230668e-943j)  +/-  (6.93e-55, 1.31e-174j)
| (0.11807454374396187474 - 2.1206008988670775226e-942j)  +/-  (1.73e-53, 3.26e-173j)
| (0.11807454374396187474 - 2.2739536796671740538e-942j)  +/-  (2.25e-53, 4.25e-173j)
| (1.5202492781479102609e-05 - 7.8174109998046269647e-946j)  +/-  (1.69e-59, 3.2e-179j)
| (0.10318735584507488576 + 1.7590857427289517148e-942j)  +/-  (4.61e-55, 8.72e-175j)
| (6.229624995347073106e-05 + 2.3641869124605705827e-945j)  +/-  (5.3e-59, 1e-178j)
| (1.5202492781479102609e-05 - 2.160261302140345789e-945j)  +/-  (1.71e-60, 3.29e-180j)
| (0.0018234710569882218529 - 1.0059523477902032625e-943j)  +/-  (1.4e-58, 2.6e-178j)
