Starting with polynomial:
P : t^17 - 136*t^15 + 7140*t^13 - 185640*t^11 + 2552550*t^9 - 18378360*t^7 + 64324260*t^5 - 91891800*t^3 + 34459425*t
Extension levels are: 17 30
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P1 : t^17 - 136*t^15 + 7140*t^13 - 185640*t^11 + 2552550*t^9 - 18378360*t^7 + 64324260*t^5 - 91891800*t^3 + 34459425*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^47 - 1023366470095438168087/1290748828758126367*t^45 + 368849091521700651190065/1290748828758126367*t^43 - 217867230480452181784448705/3503461106629200139*t^41 + 32068009887953432128165809125/3503461106629200139*t^39 - 3389898970750755239297664032565/3503461106629200139*t^37 + 266742239502836088302738792454115/3503461106629200139*t^35 - 15981668250943364593093227088287775/3503461106629200139*t^33 + 739698438889707585165035315034027150/3503461106629200139*t^31 - 26681186316598464660782809396304694750/3503461106629200139*t^29 + 753375216383984766318262795599585515250/3503461106629200139*t^27 - 16666159250088227759866798056375574694250/3503461106629200139*t^25 + 288130467316212751602501971779491810506250/3503461106629200139*t^23 - 3870144917922404936728286444623435940306250/3503461106629200139*t^21 + 2105578451752097854691754622840692210581250/184392689822589481*t^19 - 16522338172805116260065405178914467199666250/184392689822589481*t^17 + 96573074869579123947049772372395424360938125/184392689822589481*t^15 - 409781280126511221725875022674781568495103125/184392689822589481*t^13 + 1218671924375982261668243000464769639291071875/184392689822589481*t^11 - 2418481713655284021243430868330434195014234375/184392689822589481*t^9 + 2983605045727731212356793091297762649288846875/184392689822589481*t^7 - 2055427184313199842889421875481912116711096875/184392689822589481*t^5 + 662826147624291975137671238917029035745328125/184392689822589481*t^3 - 68466195912714957451185730923507542084390625/184392689822589481*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:
| (6.3075109178873126243 - 2.7549400587061863272e-744j)  +/-  (1.73e-244, 1.73e-244j)
| (10.334383884670585451 + 2.6770069391762559333e-751j)  +/-  (1.9e-246, 1.9e-246j)
| (8.7988124355876983189 - 2.0131323692573901031e-750j)  +/-  (2.83e-245, 2.83e-245j)
| (-9.5244175861069020612 - 4.4619222356446771033e-752j)  +/-  (1.02e-245, 1.02e-245j)
| (9.5244175861069020612 - 3.1996819865047201819e-751j)  +/-  (9.64e-246, 9.64e-246j)
| (11.308734354748170115 + 1.1570618921566341003e-752j)  +/-  (1.52e-247, 1.52e-247j)
| (-8.1270967018711972303 - 3.4922096770395425414e-750j)  +/-  (7.25e-245, 7.25e-245j)
| (4.2339970958258699937 + 2.9402329731014290404e-747j)  +/-  (8.86e-245, 8.86e-245j)
| (-11.308734354748170115 + 4.2177024508906668869e-759j)  +/-  (1.6e-247, 1.6e-247j)
| (8.1270967018711972303 + 7.8489057344323872481e-756j)  +/-  (7.43e-245, 7.43e-245j)
| (-8.7988124355876983189 - 2.1786478059842882963e-756j)  +/-  (2.93e-245, 2.93e-245j)
| (-5.1929888204585042982 - 4.06789944046062269e-755j)  +/-  (3.29e-244, 3.29e-244j)
| (6.8891224398953322326 - 1.3312218398561908544e-754j)  +/-  (1.57e-244, 1.57e-244j)
| (-4.7586814094163139779 + 9.4673869046173049921e-752j)  +/-  (4.46e-243, 4.46e-243j)
| (-6.3075109178873126243 - 2.6269286790819336524e-764j)  +/-  (1.74e-244, 1.74e-244j)
| (-10.334383884670585451 - 4.0953313746376200759e-770j)  +/-  (1.72e-246, 1.72e-246j)
| (5.7444600786594061813 + 1.2682607645363301409e-764j)  +/-  (1.94e-244, 1.94e-244j)
| (-3.5318525651757810554 - 2.7194096571387769092e-774j)  +/-  (5.18e-246, 5.18e-246j)
| (-2.2810194402529888954 + 1.2333889788732492865e-778j)  +/-  (2.53e-248, 2.53e-248j)
| (-4.2339970958258699937 - 9.4719159788365048167e-773j)  +/-  (9.06e-245, 9.06e-245j)
| (-7.4936349565847894328 + 2.9885789844266030918e-778j)  +/-  (1.1e-244, 1.1e-244j)
| (2.2810194402529888954 + 2.0253688397197391497e-779j)  +/-  (2.32e-248, 2.32e-248j)
| (3.0737971753281935585 - 7.289773136301537165e-778j)  +/-  (7.59e-247, 7.59e-247j)
| (-6.8891224398953322326 - 6.8750545254929784598e-782j)  +/-  (1.46e-244, 1.46e-244j)
| (-4.7785315896299838271 + 3.240056425654882265e-802j)  +/-  (4.52e-243, 4.52e-243j)
| (4.7586814094163139779 + 3.8225104252051732832e-852j)  +/-  (4.41e-243, 4.41e-243j)
| (1.940615928940052036 - 6.2324709787600145451e-887j)  +/-  (2.84e-249, 2.84e-249j)
| (3.5318525651757810554 - 8.6690127856260204677e-895j)  +/-  (5.83e-246, 5.83e-246j)
| (1.0781045793401962454 - 3.0166757718109171834e-916j)  +/-  (1.54e-251, 1.54e-251j)
| (-3.0737971753281935585 + 2.1426678653057846762e-906j)  +/-  (7.57e-247, 7.57e-247j)
| (-3.900065717198009909 - 3.9976448581213615076e-907j)  +/-  (3.01e-245, 3.01e-245j)
| (2.629088445002792297 - 6.6874821491115064426e-925j)  +/-  (1.09e-247, 1.09e-247j)
| (4.7785315896299838271 + 3.9123295571119504652e-950j)  +/-  (4.44e-243, 4.44e-243j)
| (-1.5098833077967407591 - 4.0657660151739086202e-982j)  +/-  (2.09e-250, 2.09e-250j)
| (-1.940615928940052036 + 5.8123464618109250395e-981j)  +/-  (3.12e-249, 3.12e-249j)
| (-1.0781045793401962454 + 6.7480566904567673878e-984j)  +/-  (1.65e-251, 1.65e-251j)
| (1.5098833077967407591 + 1.0543319111592815498e-981j)  +/-  (2.32e-250, 2.32e-250j)
| (0.75184260070389617074 + 1.5331981916803603674e-985j)  +/-  (2.07e-252, 2.07e-252j)
| (3.900065717198009909 - 4.3940264403398891927e-974j)  +/-  (3.11e-245, 3.11e-245j)
| (-2.629088445002792297 + 2.1183886109271640362e-986j)  +/-  (1.2e-247, 1.2e-247j)
| (-5.7444600786594061813 + 3.0916997302275817365e-982j)  +/-  (2e-244, 2e-244j)
| (7.4936349565847894328 + 4.8822130058584666395e-982j)  +/-  (1.22e-244, 1.22e-244j)
| (-1.2895155278729203721e-1003 - 1.0184769003220786102e-1003j)  +/-  (7.72e-1002, 7.72e-1002j)
| (0.42924215420226970575 + 1.6895302921253773853e-1002j)  +/-  (1.68e-253, 1.68e-253j)
| (5.1929888204585042982 + 1.2127782615145360557e-981j)  +/-  (3.38e-244, 3.38e-244j)
| (-0.42924215420226970575 + 7.139150311763127098e-1000j)  +/-  (1.68e-253, 1.68e-253j)
| (-0.75184260070389617074 - 7.8273005494606488295e-999j)  +/-  (2.39e-252, 2.39e-252j)
-------------------------------------------------
The weights are:
| (5.2350982677834361176e-10 + 7.3869529104989121593e-753j)  +/-  (2.66e-69, 1.71e-191j)
| (2.2358538756808207808e-24 - 1.5526492591826482497e-763j)  +/-  (1.67e-79, 1.07e-201j)
| (4.2826803458774890437e-18 - 1.535163115776864641e-759j)  +/-  (1.33e-76, 8.57e-199j)
| (6.0768540856751336646e-21 - 4.3357776705545713494e-762j)  +/-  (3.88e-81, 2.49e-203j)
| (6.0768540856751336646e-21 + 2.1319911205822817892e-761j)  +/-  (3.93e-78, 2.53e-200j)
| (7.6030691858578177728e-29 + 3.2681923310539949995e-766j)  +/-  (3.67e-82, 2.36e-204j)
| (1.179649591409789578e-15 - 9.5025611808828828313e-759j)  +/-  (5.23e-79, 3.36e-201j)
| (2.1136835619894079792e-05 - 1.8923231703927624882e-749j)  +/-  (4.69e-67, 3.02e-189j)
| (7.6030691858578177728e-29 - 9.2846775588587629365e-767j)  +/-  (8.72e-86, 5.61e-208j)
| (1.179649591409789578e-15 + 7.5298331083262271327e-758j)  +/-  (8.48e-77, 5.46e-199j)
| (4.2826803458774890437e-18 + 2.5342417033939512973e-760j)  +/-  (2.1e-80, 1.35e-202j)
| (3.0930984993306262061e-07 + 6.9640359122426664027e-752j)  +/-  (1.55e-73, 9.98e-196j)
| (1.1684180099562105016e-11 + 1.3166086856268589124e-754j)  +/-  (1.03e-75, 6.64e-198j)
| (1.1530337207246629959e-05 + 9.6901208377419466138e-750j)  +/-  (1.56e-72, 1e-194j)
| (5.2350982677834361176e-10 + 1.1454631216799076436e-754j)  +/-  (5.52e-77, 3.55e-199j)
| (2.2358538756808207808e-24 + 3.7598761643590553928e-764j)  +/-  (8.82e-85, 5.67e-207j)
| (1.512634750202007656e-08 - 4.8788978364731561178e-752j)  +/-  (1.96e-75, 1.26e-197j)
| (0.00034024834531004931488 - 1.7418557286100577359e-749j)  +/-  (1.25e-70, 8.02e-193j)
| (0.0089481076027310653635 + 2.8912176933109792999e-748j)  +/-  (2.56e-66, 1.64e-188j)
| (2.1136835619894079792e-05 - 3.6861914887938050077e-750j)  +/-  (2.17e-72, 1.4e-194j)
| (1.5773519859708369619e-13 + 2.6139025537161638271e-757j)  +/-  (5.27e-80, 3.39e-202j)
| (0.0089481076027310653635 + 6.1743161089731921873e-748j)  +/-  (2.27e-69, 1.46e-191j)
| (0.001643324139729755636 + 1.1666498278770701468e-748j)  +/-  (2.01e-72, 1.3e-194j)
| (1.1684180099562105016e-11 - 5.8116463502572620128e-756j)  +/-  (4.2e-79, 2.7e-201j)
| (-8.4880425826363465104e-06 - 9.0112263054795274364e-750j)  +/-  (4.04e-73, 2.6e-195j)
| (1.1530337207246629959e-05 + 6.8771912529169975315e-749j)  +/-  (3.26e-77, 2.1e-199j)
| (0.024164096755236526005 - 8.1972971429390483059e-748j)  +/-  (1.18e-70, 7.62e-193j)
| (0.00034024834531004931488 - 6.2011864392368678749e-749j)  +/-  (2.46e-75, 1.58e-197j)
| (0.088910310434841655405 - 1.8836410962151548261e-747j)  +/-  (2.57e-68, 1.65e-190j)
| (0.001643324139729755636 + 4.0117676561821725895e-749j)  +/-  (3.08e-74, 1.98e-196j)
| (5.941391411088759865e-05 + 9.2876489855782594247e-750j)  +/-  (5.67e-75, 3.64e-197j)
| (0.0051562273097410785077 - 3.0597701503189585493e-748j)  +/-  (1.12e-73, 7.18e-196j)
| (-8.4880425826363465104e-06 - 6.491534924541444354e-749j)  +/-  (2.48e-77, 1.59e-199j)
| (0.056895791811773342724 + 6.480789250473425361e-748j)  +/-  (1.37e-72, 8.84e-195j)
| (0.024164096755236526005 - 4.3360432896492289495e-748j)  +/-  (1.74e-73, 1.12e-195j)
| (0.088910310434841655405 - 1.3331490444972439335e-747j)  +/-  (7.09e-72, 4.56e-194j)
| (0.056895791811773342724 + 1.0566743758774372496e-747j)  +/-  (5.43e-73, 3.49e-195j)
| (0.081680805703609888396 + 2.7141892149171209105e-747j)  +/-  (4.52e-72, 2.91e-194j)
| (5.941391411088759865e-05 + 3.9754675472453630742e-749j)  +/-  (2.57e-77, 1.65e-199j)
| (0.0051562273097410785077 - 1.2574514387188902469e-748j)  +/-  (1.64e-75, 1.06e-197j)
| (1.512634750202007656e-08 - 2.2851281551246328252e-753j)  +/-  (6.52e-81, 4.19e-203j)
| (1.5773519859708369619e-13 - 3.0374496872067178109e-756j)  +/-  (7.82e-86, 5.03e-208j)
| (0.17724209569518696306 + 1.900111186091149932e-747j)  +/-  (9.41e-76, 6.07e-198j)
| (0.14355612203352740406 - 2.4397535324290347952e-747j)  +/-  (9.85e-76, 6.36e-198j)
| (3.0930984993306262061e-07 + 7.1586524133864172932e-751j)  +/-  (1.4e-80, 9e-203j)
| (0.14355612203352740406 - 2.1285071364660091828e-747j)  +/-  (1.94e-76, 1.27e-198j)
| (0.081680805703609888396 + 2.1354372767253421127e-747j)  +/-  (1.41e-76, 8.83e-199j)
