Starting with polynomial:
P : t
Extension levels are: 1 10 24
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P2 : t^11 - 55/21*t^9 + 330/133*t^7 - 330/323*t^5 + 55/323*t^3 - 33/4199*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^35 - 237165281317129372316317783200485/26769156514149280200359777945187*t^33 + 6086180992195950587345624822861160/169537991256278774602278593652851*t^31 - 761857138334573340601895363203933960/8646437554070217504716208276295401*t^29 + 3820535963381944993226272034218603152460/26120887850846127081747665202688406421*t^27 - 1696563929987694033542938549444008719367276/9772114377088767764916043193050207157723*t^25 + 1236707416409205637637344897670896953866328600/8140171276114943548175063979810822562383259*t^23 - 810736343921149529609363717042455461599852200/8140171276114943548175063979810822562383259*t^21 + 3011830774851131589525836743349846887414650/61204295309134913896053112630156560619423*t^19 - 65843116865791839556403285498724654384150/3600252665243230229179594860597444742319*t^17 + 32140080398260895064776115092631664344500520/6347245448823814894043625739233295080708397*t^15 - 12092846330526065604730098838497481407150600/11787741547815656231795304944290405149887023*t^13 + 1631613070138595467141439582604557105268945700/11037859835504614100741865160526700145351902383*t^11 - 3362922612117659364504078584931787443125518700/231795056545596896115579168371060703052389950043*t^9 + 70131278364452098487884095302030928052380600/77265018848532298705193056123686901017463316681*t^7 - 358755682971016063551524564068440648648120/11037859835504614100741865160526700145351902383*t^5 + 6044984085386878249280574738043196352175/11037859835504614100741865160526700145351902383*t^3 - 30402879771025969753908495838363719225/11037859835504614100741865160526700145351902383*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
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.99269927422948553157 + 7.9828722861930456174e-413j)  +/-  (2.14e-115, 2.14e-115j)
| (-0.99914652732514104357 + 2.1028229966059620186e-425j)  +/-  (9.15e-116, 9.15e-116j)
| (-0.925196002776519573 - 1.4184017901842032209e-432j)  +/-  (7.18e-116, 7.18e-116j)
| (0.99269927422948553157 - 9.3179695210993862332e-432j)  +/-  (2.19e-115, 2.19e-115j)
| (0.88706259976809529908 - 1.1072537353236948681e-435j)  +/-  (2.93e-116, 2.93e-116j)
| (0.925196002776519573 - 3.6037631502294562562e-435j)  +/-  (7.06e-116, 7.06e-116j)
| (0.99914652732514104357 - 1.0443841021261078735e-433j)  +/-  (9.44e-116, 9.44e-116j)
| (-0.88706259976809529908 + 9.8405303466436965352e-441j)  +/-  (2.95e-116, 2.95e-116j)
| (-0.26954315595234497233 + 2.5335255555752341291e-452j)  +/-  (3.83e-124, 3.83e-124j)
| (0.9782286581460569928 + 1.0277787550863851842e-441j)  +/-  (1.97e-115, 1.97e-115j)
| (0.84158444565058652392 + 4.2010049209046137005e-447j)  +/-  (9.16e-117, 9.16e-117j)
| (0.95566886457188528153 - 1.8759163840762325626e-447j)  +/-  (1.29e-115, 1.29e-115j)
| (-0.95566886457188528153 - 2.1431299460658497547e-448j)  +/-  (1.32e-115, 1.32e-115j)
| (-0.84158444565058652392 + 4.0928326928911412436e-458j)  +/-  (9.5e-117, 9.5e-117j)
| (-0.43932109076235962814 + 7.8149637494908593405e-466j)  +/-  (9.25e-122, 9.25e-122j)
| (0.78913679525560244035 - 2.2056449247949111957e-462j)  +/-  (2.5e-117, 2.5e-117j)
| (0.66511705212951455584 + 1.3156171507455382879e-463j)  +/-  (8.5e-119, 8.5e-119j)
| (-0.35590643072768674405 - 5.7159183098569500774e-467j)  +/-  (7.26e-123, 7.26e-123j)
| (-0.78913679525560244035 + 2.0357405282128593231e-462j)  +/-  (2.32e-117, 2.32e-117j)
| (-0.9782286581460569928 + 2.1797450603542689384e-468j)  +/-  (1.79e-115, 1.79e-115j)
| (0.43932109076235962814 + 2.2264450676227036738e-483j)  +/-  (9.86e-122, 9.86e-122j)
| (0.73015200557404932409 + 1.4921630583635062773e-479j)  +/-  (5.08e-118, 5.08e-118j)
| (0.18094636520965929953 - 4.8343962967515383038e-487j)  +/-  (1.89e-125, 1.89e-125j)
| (-0.66511705212951455584 - 2.7580296852160290654e-477j)  +/-  (8.18e-119, 8.18e-119j)
| (-0.73015200557404932409 + 9.9832538273513924874e-480j)  +/-  (4.71e-118, 4.71e-118j)
| (0.090849783728614288704 - 3.331253605834559856e-489j)  +/-  (1.17e-126, 1.17e-126j)
| (0.59457013709158187507 - 1.5957694320738945474e-483j)  +/-  (1.15e-119, 1.15e-119j)
| (0.35590643072768674405 + 4.005012317820206834e-486j)  +/-  (6.69e-123, 6.69e-123j)
| (-0.18094636520965929953 + 5.5885909726537921849e-488j)  +/-  (1.99e-125, 1.99e-125j)
| (-0.59457013709158187507 + 8.5620383988570043711e-483j)  +/-  (1.1e-119, 1.1e-119j)
| (-0.090849783728614288704 - 9.3769719257625978701e-492j)  +/-  (1.17e-126, 1.17e-126j)
| (0.26954315595234497233 + 2.6997331572481791911e-489j)  +/-  (3.49e-124, 3.49e-124j)
| (0.51909612920681181593 - 3.4364047864495967756e-487j)  +/-  (1.18e-120, 1.18e-120j)
| (-5.7933177818464847125e-497 + 2.7503591017182006726e-497j)  +/-  (2.24e-495, 2.24e-495j)
| (-0.51909612920681181593 - 4.6171988755272762141e-485j)  +/-  (1.11e-120, 1.11e-120j)
-------------------------------------------------
The weights are:
| (0.010397959782967545714 + 5.8746366431734377159e-414j)  +/-  (2.02e-19, 5.59e-73j)
| (0.0027802414153748123621 + 4.9969421514057545238e-413j)  +/-  (1.56e-19, 4.33e-73j)
| (0.034350666892601208026 - 2.3537072418313080882e-413j)  +/-  (3.84e-20, 1.06e-73j)
| (0.010397959782967545714 + 4.1808021391379495387e-415j)  +/-  (2.35e-21, 6.51e-75j)
| (0.041863452727435107296 + 9.3585124202624902856e-415j)  +/-  (1.63e-21, 4.52e-75j)
| (0.034350666892601208026 - 8.2842343255663948132e-415j)  +/-  (1.62e-21, 4.5e-75j)
| (0.0027802414153748123621 - 1.6174219274052568374e-415j)  +/-  (7.09e-22, 1.96e-75j)
| (0.041863452727435107296 + 1.6653094140493932435e-413j)  +/-  (8.21e-24, 2.27e-77j)
| (0.087600952936284276406 - 3.537983756963146233e-414j)  +/-  (7.09e-25, 1.96e-78j)
| (0.018536532090311577783 - 5.8299696863616697564e-415j)  +/-  (4.89e-22, 1.35e-75j)
| (0.049030276674701269906 - 1.039867469147676367e-414j)  +/-  (9.15e-24, 2.53e-77j)
| (0.026552830544412620425 + 7.1338530265010698586e-415j)  +/-  (2.32e-22, 6.43e-76j)
| (0.026552830544412620425 + 3.7535020736326166825e-413j)  +/-  (5.65e-25, 1.57e-78j)
| (0.049030276674701269906 - 1.2622268690822782771e-413j)  +/-  (6.51e-26, 1.8e-79j)
| (0.081707737744383051924 - 4.464026294798172699e-414j)  +/-  (2.81e-27, 7.79e-81j)
| (0.055792925133649104546 + 1.1432962287177885945e-414j)  +/-  (1.58e-25, 4.37e-79j)
| (0.067884694075804083275 + 1.3571360749623190533e-414j)  +/-  (4.66e-27, 1.29e-80j)
| (0.085006323329473353038 + 3.9574387253604039531e-414j)  +/-  (2.21e-27, 6.12e-81j)
| (0.055792925133649104546 + 1.0007573442338582867e-413j)  +/-  (4.29e-27, 1.19e-80j)
| (0.018536532090311577783 - 7.9405396656968642416e-413j)  +/-  (8.81e-26, 2.44e-79j)
| (0.081707737744383051924 - 1.725041642113072716e-414j)  +/-  (3.57e-29, 9.88e-83j)
| (0.062095435740226166015 - 1.2483825206299829497e-414j)  +/-  (4.88e-27, 1.35e-80j)
| (0.08947024547923240938 + 2.2032368841245346712e-414j)  +/-  (6.85e-30, 1.9e-83j)
| (0.067884694075804083275 + 6.8681454315206868227e-414j)  +/-  (3.44e-29, 9.53e-83j)
| (0.062095435740226166015 - 8.1919626677754187658e-414j)  +/-  (1.17e-28, 3.24e-82j)
| (0.090598381586787075155 - 2.4014902235555053069e-414j)  +/-  (7.36e-31, 2.04e-84j)
| (0.073111565217727552632 - 1.4714966990150293094e-414j)  +/-  (5.32e-30, 1.47e-83j)
| (0.085006323329473353038 + 1.86864748506044122e-414j)  +/-  (6.93e-31, 1.92e-84j)
| (0.08947024547923240938 + 3.1854759409813136717e-414j)  +/-  (1.45e-31, 4.02e-85j)
| (0.073111565217727552632 - 5.8665932265024347181e-414j)  +/-  (2.39e-31, 6.6e-85j)
| (0.090598381586787075155 - 2.885328978767816968e-414j)  +/-  (4.81e-32, 1.33e-85j)
| (0.087600952936284276406 - 2.0269597495977680296e-414j)  +/-  (3.46e-32, 9.56e-86j)
| (0.077732008150900440495 + 1.5934343283770671099e-414j)  +/-  (3.97e-32, 1.09e-85j)
| (0.090975540955456691244 + 2.6267346424940608404e-414j)  +/-  (1.86e-32, 5.2e-86j)
| (0.077732008150900440495 + 5.0864246123254302858e-414j)  +/-  (1.18e-32, 2.99e-86j)
