Starting with polynomial:
P : t
Extension levels are: 1 8 38
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 38 Kronrod extension for:
P2 : t^9 - 36/17*t^7 + 126/85*t^5 - 84/221*t^3 + 63/2431*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^47 - 5860691788069072109486545652454841138480751337689381/505365939828257811816005420131611528102724169040609*t^45 + 164552535984253071797246071975014216976191669414001630263/2614594917358129832398740041954247509227460609226430763*t^43 - 20341371810395420598036031397400800898728539269438886006059/95789250154120574768790203355232886019878784138022872499*t^41 + 30542332394410207386366355787202234289840059485842294827826884823/61182030912189122913447834736037572794186877610717279008198785*t^39 - 9535393839858448118847714451732794980473514256522784633529755507/10981390163726252830618842132109307937418157519872332129676705*t^37 + 10495539238914105216303846533140043730742897229891339735181557261971/9059646885074158585260544758990179048369979953894674006983281625*t^35 - 4044145622946028552387801692983497260982123625520497177348827721911/3334559105598723916255561852468654137131135478828459844587123825*t^33 + 233927482379603779603214057354186213616576724810635935791440008794/231430788365111826054882591911314216751036773212923410523642025*t^31 - 469755113602803465563664596886999829058433415843590561489019669574/694292365095335478164647775733942650253110319638770231570926075*t^29 + 7284149467359586415352733509980548082937421682303715604854628371706/19936109340594633015870600417503210385839310606770402363679448725*t^27 - 4117332995630881331139695445259820505013427641659874923373001016946/25843104700770820576128556096763420870532439675443114175140026125*t^25 + 4878857931514843069398177569721491568745846709249476314376112142/87181558026696744112240912133659733057217868784627373120954305*t^23 - 293671047510939449790683428779774589330859164232754210000856489106/18650713871373195018603200202790953315578622661545143244143308995*t^21 + 1189406247766060521012706132793674742991882825198187394839088294006/338215759338451575467224266880914733501986365061526428786650741905*t^19 - 2289230309833743495104459712501781347371926538073358561887812978938/3720373352722967330139466935690062068521850015676790716653158160955*t^17 + 3534810426220897340613549864757415154214852922960353788695498791813/42674870810645801728070356027033064903632985473939658220433284787425*t^15 - 1983041146944940016874749243342068574001793010524381417704901887191/236947139834347641975857310131050255607790766964826864214405762200655*t^13 + 3992135518105176951377507063649960083815142468585074384530235395103/6506932993912469860413927670521918557844715677418706963426373623510295*t^11 - 45989113206592235222123156687463853367180775741210777490435975330211/1478256868344296561924945931694024952368540407079031700145682516832020655*t^9 + 167078303195242278885000030237719477980285957151072741687140159357/164250763149366284658327325743780550263171156342114633349520279648002295*t^7 - 2251699399858900214545962835227445374398883970526644293394311747/117321973678118774755948089816986107330836540244367595249657342605715925*t^5 + 12057963762576390963370276097677741553041659754107254160820573/70393184206871264853568853890191664398501924146620557149794405563429555*t^3 - 129364244768020188572477914572422118139861295403658804969/282703551031611505436019493534906282724907325890042398191945403869195*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:
| (0.98273075981930242533 - 2.8750473640688929373e-871j)  +/-  (3.99e-239, 3.99e-239j)
| (-0.96816023950762608984 - 9.5980740024017007603e-878j)  +/-  (4.06e-239, 4.06e-239j)
| (-0.90014628626938829944 + 9.8738690746027654887e-892j)  +/-  (1.05e-239, 1.05e-239j)
| (0.66441449709864248178 + 2.4855112814140892945e-899j)  +/-  (3.46e-243, 3.46e-243j)
| (0.99293904265345034146 + 3.9074746770470481272e-893j)  +/-  (3.1e-239, 3.1e-239j)
| (0.92667540393592559292 - 5.1330698350936440693e-906j)  +/-  (2.09e-239, 2.09e-239j)
| (-0.98273075981930242533 - 1.93845774616569147e-911j)  +/-  (3.99e-239, 3.99e-239j)
| (-0.86992557615185139551 + 1.0332969183147015247e-934j)  +/-  (4.18e-240, 4.18e-240j)
| (-0.99293904265345034146 + 7.309040862270561906e-949j)  +/-  (2.59e-239, 2.59e-239j)
| (0.99865628280707429568 - 8.1866699978555535737e-960j)  +/-  (9.56e-240, 9.56e-240j)
| (0.86992557615185139551 + 3.2706451294712042192e-964j)  +/-  (4.06e-240, 4.06e-240j)
| (-0.99865628280707429568 + 4.3667556195172070583e-967j)  +/-  (9.93e-240, 9.93e-240j)
| (-0.94940712932068949958 + 3.8027069913025870658e-973j)  +/-  (3.45e-239, 3.45e-239j)
| (-0.79844839552748599631 - 1.4346251349800176863e-982j)  +/-  (4.6e-241, 4.6e-241j)
| (0.96816023950762608984 - 7.0066869306340598642e-979j)  +/-  (3.87e-239, 3.87e-239j)
| (0.8360311073266357943 + 2.1443280982223100796e-981j)  +/-  (1.56e-240, 1.56e-240j)
| (0.79844839552748599631 - 4.9754440363794778885e-983j)  +/-  (4.06e-241, 4.06e-241j)
| (-0.38568641409966108885 + 1.4395620118187605319e-991j)  +/-  (4.84e-248, 4.84e-248j)
| (-0.75721355601997827447 - 1.9051385790089943706e-985j)  +/-  (1.14e-241, 1.14e-241j)
| (-0.92667540393592559292 + 1.35580891888258022e-981j)  +/-  (2.16e-239, 2.16e-239j)
| (0.90014628626938829944 + 6.5291152559858283315e-985j)  +/-  (1.13e-239, 1.13e-239j)
| (0.71245983642422537161 - 3.3951092708364369648e-991j)  +/-  (2.12e-242, 2.12e-242j)
| (0.94940712932068949958 - 3.0831206471008290489e-992j)  +/-  (3.29e-239, 3.29e-239j)
| (-0.8360311073266357943 - 8.2775273908609607545e-998j)  +/-  (1.59e-240, 1.59e-240j)
| (-0.71245983642422537161 + 4.4019495882871642948e-998j)  +/-  (2.09e-242, 2.09e-242j)
| (0.26139642882039416612 - 1.9125888400377364644e-1006j)  +/-  (1.81e-250, 1.81e-250j)
| (0.75721355601997827447 + 1.9841661594470148013e-1000j)  +/-  (1.06e-241, 1.06e-241j)
| (0.32425342340380892904 + 1.9567572343013654957e-1009j)  +/-  (2.87e-249, 2.87e-249j)
| (0.066263488995262639249 - 2.8120612120895773512e-1015j)  +/-  (2.2e-254, 2.2e-254j)
| (-0.66441449709864248178 - 1.5811952016522445616e-1002j)  +/-  (3.58e-243, 3.58e-243j)
| (-0.19728493523583385042 - 4.8594503281601133099e-1013j)  +/-  (1.06e-251, 1.06e-251j)
| (0.50361300330103380531 + 3.2658346778180228789e-1006j)  +/-  (5.5e-246, 5.5e-246j)
| (0.61337143270059039731 - 9.8846612028893022887e-1007j)  +/-  (4.74e-244, 4.74e-244j)
| (-0.13214265319383141024 - 9.3172541202483914539e-1016j)  +/-  (5.45e-253, 5.45e-253j)
| (-0.61337143270059039731 + 1.2526809333224413994e-1005j)  +/-  (4.91e-244, 4.91e-244j)
| (-0.44553743947514046704 - 3.0678254369348198273e-1009j)  +/-  (5.05e-247, 5.05e-247j)
| (0.13214265319383141024 - 1.9699998166737382589e-1017j)  +/-  (5.45e-253, 5.45e-253j)
| (0.55965979859525597252 + 3.8202136694604690168e-1009j)  +/-  (5.33e-245, 5.33e-245j)
| (0.19728493523583385042 + 3.1096632824190553334e-1016j)  +/-  (1e-251, 1e-251j)
| (-0.32425342340380892904 + 4.4249817229644955701e-1014j)  +/-  (2.89e-249, 2.89e-249j)
| (-0.55965979859525597252 + 1.7634055359216914814e-1008j)  +/-  (5.58e-245, 5.58e-245j)
| (-1.4788661967686813113e-1026 + 2.2590855263956411468e-1027j)  +/-  (7.03e-1025, 7.03e-1025j)
| (0.38568641409966108885 - 1.1942032588382484855e-1013j)  +/-  (4.1e-248, 4.1e-248j)
| (0.44553743947514046704 + 1.2406524746879808227e-1013j)  +/-  (4.87e-247, 4.87e-247j)
| (-0.066263488995262639249 + 4.245947573535925245e-1020j)  +/-  (2.2e-254, 2.2e-254j)
| (-0.50361300330103380531 - 3.4235142860405488913e-1012j)  +/-  (5.39e-246, 5.39e-246j)
| (-0.26139642882039416612 - 6.7961151737658273626e-1017j)  +/-  (1.78e-250, 1.78e-250j)
-------------------------------------------------
The weights are:
| (0.012415711329730516568 + 1.1797553267089493927e-871j)  +/-  (1.16e-66, 7.93e-182j)
| (0.016694987569820150712 - 3.0496890828073183799e-873j)  +/-  (4.45e-67, 3.05e-182j)
| (0.028384475595765367614 + 8.6686645635147061059e-873j)  +/-  (2.95e-67, 2.02e-182j)
| (0.049597153988575171033 + 1.1364979209496245391e-871j)  +/-  (6.29e-68, 4.31e-183j)
| (0.0079790934283738752314 + 1.7169372387422152768e-871j)  +/-  (1.65e-67, 1.13e-182j)
| (0.024655816038618138691 - 2.2181680868339402219e-871j)  +/-  (4.03e-68, 2.76e-183j)
| (0.012415711329730516568 + 1.8160854800645557374e-873j)  +/-  (9.23e-68, 6.32e-183j)
| (0.032055024310541371053 - 1.0949295435277371639e-872j)  +/-  (1.91e-68, 1.31e-183j)
| (0.0079790934283738752314 - 8.8712215794464396582e-874j)  +/-  (2.3e-68, 1.57e-183j)
| (0.003446244095684466508 - 3.0770411388898593938e-872j)  +/-  (1.92e-69, 1.31e-184j)
| (0.032055024310541371053 - 1.798248821637434443e-871j)  +/-  (2.66e-70, 1.82e-185j)
| (0.003446244095684466508 + 2.4731478976584815622e-874j)  +/-  (7.82e-69, 5.35e-184j)
| (0.020776422463747959286 + 4.6159850376085383448e-873j)  +/-  (5.84e-69, 4e-184j)
| (0.039422294385683038421 - 1.5375189027058090332e-872j)  +/-  (4.04e-71, 2.76e-186j)
| (0.016694987569820150712 - 4.0832792544782279327e-871j)  +/-  (1.53e-70, 1.05e-185j)
| (0.035737903406534549071 + 1.6376176281662804073e-871j)  +/-  (6.35e-72, 4.34e-187j)
| (0.039422294385683038421 - 1.4860830371452962468e-871j)  +/-  (1.92e-72, 1.31e-187j)
| (0.060669953995971872747 - 3.7751623777027721361e-872j)  +/-  (1.53e-75, 1.05e-190j)
| (0.043025041383262644652 + 1.7481673049346678459e-872j)  +/-  (2.1e-73, 1.44e-188j)
| (0.024655816038618138691 - 6.5120635019935285622e-873j)  +/-  (5.46e-71, 3.74e-186j)
| (0.028384475595765367614 + 1.9763894255549573249e-871j)  +/-  (4.07e-72, 2.78e-187j)
| (0.046444014850405237435 - 1.2315828315309990957e-871j)  +/-  (1.67e-74, 1.15e-189j)
| (0.020776422463747959286 + 2.6763206812919768333e-871j)  +/-  (6.52e-72, 4.46e-187j)
| (0.035737903406534549071 + 1.3208921227785736488e-872j)  +/-  (2.73e-73, 1.87e-188j)
| (0.046444014850405237435 - 1.9635645087782781435e-872j)  +/-  (2.25e-75, 1.54e-190j)
| (0.063515947691895791298 - 7.662773020514447537e-872j)  +/-  (4.22e-79, 2.89e-194j)
| (0.043025041383262644652 + 1.3487694348820212117e-871j)  +/-  (3.85e-75, 2.64e-190j)
| (0.062170562868220925345 + 8.1747011368054378107e-872j)  +/-  (4.15e-79, 2.84e-194j)
| (0.066133761252433823412 + 6.1612509746954440387e-872j)  +/-  (3.61e-80, 2.47e-195j)
| (0.049597153988575171033 + 2.1963228721685049616e-872j)  +/-  (3.43e-78, 2.35e-193j)
| (0.064670017383912670877 + 4.7509827900959110674e-872j)  +/-  (9.29e-81, 6.36e-196j)
| (0.05710848964933707461 - 9.539603116667314171e-872j)  +/-  (1.22e-79, 8.37e-195j)
| (0.052433604998868110336 - 1.0616279321100899816e-871j)  +/-  (1.69e-78, 1.16e-193j)
| (0.065565333533856771543 - 5.0575259781370297075e-872j)  +/-  (2.29e-81, 1.57e-196j)
| (0.052433604998868110336 - 2.4567513968833340701e-872j)  +/-  (1.92e-80, 1.32e-195j)
| (0.059000270932506475603 + 3.4219218923621872462e-872j)  +/-  (1.84e-81, 1.26e-196j)
| (0.065565333533856771543 - 6.6289433787464980367e-872j)  +/-  (1.03e-81, 7.04e-197j)
| (0.054933562613557991556 + 1.0026364156572748068e-871j)  +/-  (1.16e-80, 7.95e-196j)
| (0.064670017383912670877 + 7.1376443671461709056e-872j)  +/-  (1.07e-81, 7.32e-197j)
| (0.062170562868220925345 + 4.1185331113443545212e-872j)  +/-  (7.32e-83, 5.01e-198j)
| (0.054933562613557991556 + 2.7501902779725426002e-872j)  +/-  (2.17e-82, 1.48e-197j)
| (0.066328624465392012797 - 5.7464858292195016708e-872j)  +/-  (4.74e-83, 3.24e-198j)
| (0.060669953995971872747 - 8.6526141882982891034e-872j)  +/-  (6.45e-83, 4.42e-198j)
| (0.059000270932506475603 + 9.0980638385615125947e-872j)  +/-  (6.94e-83, 4.75e-198j)
| (0.066133761252433823412 + 5.3828562868477485756e-872j)  +/-  (5.58e-84, 3.83e-199j)
| (0.05710848964933707461 - 3.0750603559266220058e-872j)  +/-  (1.52e-84, 1.08e-199j)
| (0.063515947691895791298 - 4.4428118347094980985e-872j)  +/-  (1.95e-84, 1.31e-199j)
