Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 10 24
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P2 : t^12 - 8477/152*t^10 + 155745/152*t^8 - 563535/76*t^6 + 1500975/76*t^4 - 2132865/152*t^2 + 110565/152
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^36 - 619179436373860848095672558382032774976633302247114653/1283099377211388502599910905832966837939445721207704*t^34 + 2250012651262999248254419438345249194038905076552240006661/21812689412593604544198485399160436244970577260530968*t^32 - 35265080163156161422753858254839628099475959769361266036991/2726586176574200568024810674895054530621322157566371*t^30 + 2895219840775142289122240057866773413205317086863726919157000/2726586176574200568024810674895054530621322157566371*t^28 - 658047079296742342877958970451276742993869462002591221387020385/10906344706296802272099242699580218122485288630265484*t^26 + 26671837959354889968758453624558739116213570884047305426794403745/10906344706296802272099242699580218122485288630265484*t^24 - 391584749778064160214509649201853884119107532940533438135549267685/5453172353148401136049621349790109061242644315132742*t^22 + 8374466589973009560107383134525589744140227735311179990879461120055/5453172353148401136049621349790109061242644315132742*t^20 - 3422931257830785925425410090867268089891977159078457904022963921800/143504535609168450948674246047108133190595903029809*t^18 + 2247599058336715697699757200053074262093487635743193089460430457300/8441443271127555938157308591006360775917406060577*t^16 - 17700250994899587303110814489390498769164385262579455462844767327950/8441443271127555938157308591006360775917406060577*t^14 + 95614816945912870365488742479853548694499967173410908523127218018075/8441443271127555938157308591006360775917406060577*t^12 - 1360751389525879788793994468898987466701880000942475305333139691413025/33765773084510223752629234364025443103669624242308*t^10 + 3007555328531040215462578388397362345811577617267378700123982664656625/33765773084510223752629234364025443103669624242308*t^8 - 1893801866888139972066605487381974553746554365611084074856445832297875/16882886542255111876314617182012721551834812121154*t^6 + 1187035703232164479346694431861135612920224311378783104330414810960875/16882886542255111876314617182012721551834812121154*t^4 - 1157672053069521303911573171855782067033878191696522519905202205241625/67531546169020447505258468728050886207339248484616*t^2 + 51343280423676617037392209644506418116345669675531636300087968388625/67531546169020447505258468728050886207339248484616
-------------------------------------------------
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:
| (8.7402387327714738277 + 1.4066513502132728577e-710j)  +/-  (5.26e-248, 5.26e-248j)
| (-7.8914963918269940143 + 5.3548833544293879433e-715j)  +/-  (2.21e-247, 2.21e-247j)
| (-9.758928399341640604 - 7.3118780247243788944e-717j)  +/-  (5.8e-249, 5.8e-249j)
| (7.1296419196056500392 - 5.9172635536722377323e-712j)  +/-  (6.45e-247, 6.45e-247j)
| (7.8914963918269940143 + 5.1533322180170058195e-719j)  +/-  (2.3e-247, 2.3e-247j)
| (5.7502191947827645679 - 1.5657879302959834665e-730j)  +/-  (2.44e-246, 2.44e-246j)
| (3.4055320811860771244 - 1.7184625965010627817e-741j)  +/-  (3.14e-248, 3.14e-248j)
| (-2.3997138992885070922 + 2.7809996455086001231e-746j)  +/-  (1.2e-249, 1.2e-249j)
| (-1.4303609732114176793 + 3.1636851665260261292e-748j)  +/-  (2.98e-251, 2.98e-251j)
| (-8.7402387327714738277 - 9.7482074016777177362e-745j)  +/-  (5.95e-248, 5.95e-248j)
| (9.758928399341640604 - 6.5009468361100937751e-746j)  +/-  (5.81e-249, 5.81e-249j)
| (-1.9137355618993510628 + 5.6347557734866042487e-747j)  +/-  (2.07e-250, 2.07e-250j)
| (4.5356720804489265644 - 4.1153209601518912649e-741j)  +/-  (5.36e-247, 5.36e-247j)
| (-2.8901633840314029187 - 7.3090662027953750888e-751j)  +/-  (6.66e-249, 6.66e-249j)
| (3.9544879426500450264 + 1.2664520280437313032e-746j)  +/-  (1.26e-247, 1.26e-247j)
| (2.3997138992885070922 - 7.4308942238226773066e-753j)  +/-  (1.34e-249, 1.34e-249j)
| (-4.5356720804489265644 + 9.6063012998252447527e-751j)  +/-  (5.75e-247, 5.75e-247j)
| (-7.1296419196056500392 + 1.7673017074742945157e-751j)  +/-  (5.76e-247, 5.76e-247j)
| (2.8901633840314029187 - 3.4262547634922826297e-753j)  +/-  (6.3e-249, 6.3e-249j)
| (-6.4227073622499169144 + 8.8893342979456296892e-752j)  +/-  (1.16e-246, 1.16e-246j)
| (0.65803187351188548248 - 1.6238213436057370659e-757j)  +/-  (4.54e-253, 4.54e-253j)
| (6.4227073622499169144 + 2.701369841845624546e-748j)  +/-  (1.23e-246, 1.23e-246j)
| (-5.2019365924015129919 + 7.5806674641506677256e-753j)  +/-  (3.32e-245, 3.32e-245j)
| (-1 + 1.1041247816541522e-780j)  +/-  (3.19e-252, 3.19e-252j)
| (1.9137355618993510628 - 5.2956492812309282359e-775j)  +/-  (2.01e-250, 2.01e-250j)
| (1 - 6.7514953324274297373e-781j)  +/-  (3.99e-252, 3.99e-252j)
| (1.4303609732114176793 + 2.8997659692775857975e-777j)  +/-  (2.5e-251, 2.5e-251j)
| (-5.2283867211668680434 - 1.2929413456321015764e-774j)  +/-  (3.41e-245, 3.41e-245j)
| (-0.65803187351188548248 + 9.3554830760067204162e-798j)  +/-  (4.35e-253, 4.35e-253j)
| (-5.7502191947827645679 - 3.4256892664344008295e-789j)  +/-  (2.67e-246, 2.67e-246j)
| (0.23704314987094039888 + 3.1367229524528674084e-802j)  +/-  (3.05e-254, 3.05e-254j)
| (-3.9544879426500450264 - 1.2707412431039508402e-793j)  +/-  (1.29e-247, 1.29e-247j)
| (-3.4055320811860771244 + 3.3120613514927778699e-804j)  +/-  (3.16e-248, 3.16e-248j)
| (-0.23704314987094039888 + 5.8456197682000443081e-831j)  +/-  (3.05e-254, 3.05e-254j)
| (5.2019365924015129919 - 8.8308290981638110475e-883j)  +/-  (3.52e-245, 3.52e-245j)
| (5.2283867211668680434 - 1.4300299738594089665e-939j)  +/-  (3.69e-245, 3.69e-245j)
-------------------------------------------------
The weights are:
| (9.3811883844987815954e-18 - 1.057953715935157304e-726j)  +/-  (9.04e-94, 5.3e-217j)
| (9.5465162341759625623e-15 + 2.2183559167125362813e-726j)  +/-  (1.03e-92, 6.04e-216j)
| (9.7681123113622605111e-22 + 1.3149933486364993265e-730j)  +/-  (6.17e-96, 3.62e-219j)
| (2.6710910364125884577e-12 + 7.337056472698098083e-723j)  +/-  (1.37e-91, 8.05e-215j)
| (9.5465162341759625623e-15 + 6.4714018937906772985e-725j)  +/-  (6.86e-93, 4.02e-216j)
| (1.7588741279823888306e-08 + 9.457377283277268558e-721j)  +/-  (1.79e-89, 1.05e-212j)
| (0.00064345617488860534854 - 1.8357539428153770724e-718j)  +/-  (1.09e-83, 6.38e-207j)
| (0.010870983217056281114 + 6.4811515252819584098e-718j)  +/-  (9.94e-81, 5.83e-204j)
| (0.067636839764725447372 + 4.539448911157804881e-717j)  +/-  (1.32e-74, 7.75e-198j)
| (9.3811883844987815954e-18 - 3.0026240515741589614e-728j)  +/-  (1.39e-96, 8.17e-220j)
| (9.7681123113622605111e-22 + 4.5567569312974766848e-730j)  +/-  (2.39e-97, 1.4e-220j)
| (0.03116665821565554345 - 1.7185960203004938664e-717j)  +/-  (5.51e-79, 3.23e-202j)
| (8.1350397881003759255e-06 - 1.9808786124629709555e-719j)  +/-  (5.72e-88, 3.35e-211j)
| (0.0030617016553561312368 - 2.1822641349871409326e-718j)  +/-  (2.96e-84, 1.73e-207j)
| (9.0661548179143062404e-05 + 5.7914975811099303747e-719j)  +/-  (1.01e-86, 5.92e-210j)
| (0.010870983217056281114 - 1.3443828779190734519e-717j)  +/-  (1.01e-83, 5.92e-207j)
| (8.1350397881003759255e-06 + 4.1122017627675972223e-720j)  +/-  (1.7e-90, 9.97e-214j)
| (2.6710910364125884577e-12 - 8.9113219487907143147e-725j)  +/-  (1.75e-95, 1.03e-218j)
| (0.0030617016553561312368 + 5.3487513855834179195e-718j)  +/-  (2.9e-86, 1.7e-209j)
| (3.0178700528007697843e-10 + 2.6699084134461228046e-723j)  +/-  (1.07e-94, 6.25e-218j)
| (0.11574574598361531631 - 1.8376726736259729399e-716j)  +/-  (8.85e-83, 5.19e-206j)
| (3.0178700528007697843e-10 - 5.9387828027436132439e-722j)  +/-  (1.13e-93, 6.61e-217j)
| (1.2515959066247975738e-06 - 1.2372339755652067653e-719j)  +/-  (4.45e-93, 2.61e-216j)
| (0.08996073165593997355 - 1.0776285110172843072e-716j)  +/-  (3.46e-85, 2.03e-208j)
| (0.03116665821565554345 + 3.0478714536752372276e-717j)  +/-  (5.87e-87, 3.44e-210j)
| (0.08996073165593997355 + 1.4456587355141592036e-716j)  +/-  (3.54e-85, 2.07e-208j)
| (0.067636839764725447372 - 6.9318119747220777015e-717j)  +/-  (4.78e-86, 2.8e-209j)
| (-8.2322919008771080579e-07 + 1.1469212554526982851e-719j)  +/-  (3.62e-93, 2.12e-216j)
| (0.11574574598361531631 + 1.5157646348042762569e-716j)  +/-  (2.56e-87, 1.5e-210j)
| (1.7588741279823888306e-08 - 9.072652664228391333e-722j)  +/-  (3e-95, 1.76e-218j)
| (0.18081464048486998905 + 1.6029236850278354926e-716j)  +/-  (8.11e-89, 4.76e-212j)
| (9.0661548179143062404e-05 - 1.5696709121495349555e-719j)  +/-  (1.89e-93, 1.11e-216j)
| (0.00064345617488860534854 + 6.2044423165810459404e-719j)  +/-  (8.79e-93, 5.15e-216j)
| (0.18081464048486998905 - 1.4957593048244307208e-716j)  +/-  (8.61e-90, 5.05e-213j)
| (1.2515959066247975738e-06 + 8.64623602516891335e-719j)  +/-  (1.46e-96, 8.55e-220j)
| (-8.2322919008771080579e-07 - 8.1514579597935859514e-719j)  +/-  (1.35e-96, 7.9e-220j)
