Starting with polynomial:
P : t
Extension levels are: 1 62
-------------------------------------------------
Trying to find an order 62 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^63 - 1953*t^61 + 1786995*t^59 - 1019182815*t^57 + 406653943185*t^55 - 120776221125945*t^53 + 27738272118592035*t^51 - 5052328135886406375*t^49 + 742692235975301737125*t^47 - 89205589676589019759125*t^45 + 8831353377982312956153375*t^43 - 724973827301638963582408875*t^41 + 49539878198945329178131273125*t^39 - 2823773057339883763153482568125*t^37 + 134330918299168756161444242169375*t^35 - 5328459759200360661070621606051875*t^33 + 175839172053611901815330512999711875*t^31 - 4809718529701737314360511090874471875*t^29 + 108485873503272519423909305716390865625*t^27 - 2004133768402560753568008752971220728125*t^25 + 30062006526038411303520131294568310921875*t^23 - 362175602432748479037647296072656317296875*t^21 + 3457130750494417299904815098875355756015625*t^19 - 25703015579762841664509712256855905838203125*t^17 + 145650421618656102765555036122183466416484375*t^15 - 611731770798355631615331151713170558949234375*t^13 + 1835195312395066894845993455139511676847703125*t^11 - 3738360821545506637649245927136042304689765625*t^9 + 4806463913415651391263316192032054391743984375*t^7 - 3480542833852713076432056552850798007814609375*t^5 + 1160180944617571025477352184283599335938203125*t^3 - 112275575285571389562324404930670903477890625*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
Positive weights:   63 out of 63
Indefinite weights: 0 out of 63
Negative weights:   0 out of 63
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (10.734078249295831533 - 3.2273019638275927923e-795j)  +/-  (2.19e-240, 2.19e-240j)
| (10.211069812925635133 + 2.9706601537714694532e-795j)  +/-  (3.16e-240, 3.16e-240j)
| (-14.758025457404141256 - 4.6503261717622714319e-800j)  +/-  (1.02e-244, 1.02e-244j)
| (-10.734078249295831533 - 3.8752123642667374183e-794j)  +/-  (2.26e-240, 2.26e-240j)
| (-13.86336017715451783 - 4.9084550957897726512e-805j)  +/-  (2.11e-243, 2.11e-243j)
| (-12.461849296568586447 - 1.7117842775709683095e-807j)  +/-  (1.2e-241, 1.2e-241j)
| (-9.2161961730117498054 + 2.4750730028272697251e-813j)  +/-  (5.51e-240, 5.51e-240j)
| (-6.4920415085546248653 + 2.7627151467681489888e-826j)  +/-  (2.8e-241, 2.8e-241j)
| (-5.6392754482264297141 - 4.9547581774989734846e-828j)  +/-  (3.86e-242, 3.86e-242j)
| (13.86336017715451783 - 5.9553153093319100388e-829j)  +/-  (2.53e-243, 2.53e-243j)
| (4.3928627338517617255 + 2.2806193406406459641e-831j)  +/-  (6.47e-244, 6.47e-244j)
| (2.7737166584896865151 + 1.9115218927188682648e-833j)  +/-  (3.4e-247, 3.4e-247j)
| (-11.852196256869617071 + 2.3338789151151536428e-825j)  +/-  (4.64e-241, 4.64e-241j)
| (-8.7390450165126471511 - 1.6272726476397048411e-832j)  +/-  (5.02e-240, 5.02e-240j)
| (6.4920415085546248653 - 9.4855900047397017836e-841j)  +/-  (3.69e-241, 3.69e-241j)
| (-5.2199438589778972963 - 6.4130847427563437195e-843j)  +/-  (9.94e-243, 9.94e-243j)
| (4.8046233775745683148 - 2.3335536579264312772e-843j)  +/-  (2.59e-243, 2.59e-243j)
| (-3.5784179954055002541 + 1.1075792456089320228e-845j)  +/-  (1.87e-245, 1.87e-245j)
| (14.758025457404141256 + 4.2792155229523689082e-845j)  +/-  (1.07e-244, 1.07e-244j)
| (8.7390450165126471511 + 4.6400862808717793822e-839j)  +/-  (4.46e-240, 4.46e-240j)
| (7.8161564839840200883 + 2.3282383994389698097e-840j)  +/-  (2.54e-240, 2.54e-240j)
| (8.2728500924074544291 + 5.7678654013946604452e-840j)  +/-  (3.91e-240, 3.91e-240j)
| (9.2161961730117498054 - 4.9157056492851985107e-841j)  +/-  (4.86e-240, 4.86e-240j)
| (-4.3928627338517617255 - 9.270596442734782717e-845j)  +/-  (5.84e-244, 5.84e-244j)
| (6.9266792439449387345 - 8.3661017710545070069e-843j)  +/-  (7.5e-241, 7.5e-241j)
| (3.1750133363364192544 - 1.535857717304118332e-848j)  +/-  (2.67e-246, 2.67e-246j)
| (-11.279194730333001097 + 6.1812506373129284422e-841j)  +/-  (1.17e-240, 1.17e-240j)
| (13.122773251777114931 + 1.1226388068722413235e-848j)  +/-  (2.52e-242, 2.52e-242j)
| (11.279194730333001097 + 5.1998065224666363264e-846j)  +/-  (1.31e-240, 1.31e-240j)
| (-2.7737166584896865151 - 5.2377268047839051134e-854j)  +/-  (3.34e-247, 3.34e-247j)
| (7.3677669648403453771 + 1.2944429007582224847e-845j)  +/-  (1.45e-240, 1.45e-240j)
| (-6.0631200963569607729 - 2.697442517423789966e-847j)  +/-  (1.14e-241, 1.14e-241j)
| (-7.3677669648403453771 + 5.9620767006768946581e-848j)  +/-  (1.44e-240, 1.44e-240j)
| (1.579533296548867692 + 3.2711943820534102041e-868j)  +/-  (3.14e-250, 3.14e-250j)
| (12.461849296568586447 - 2.4685679835388355787e-860j)  +/-  (1.14e-241, 1.14e-241j)
| (-13.122773251777114931 - 2.0125261419651807236e-857j)  +/-  (2.43e-242, 2.43e-242j)
| (-3.9842525092975248004 + 9.9041949903702526773e-865j)  +/-  (1.09e-244, 1.09e-244j)
| (5.2199438589778972963 - 1.9040761814554500732e-861j)  +/-  (9.67e-243, 9.67e-243j)
| (6.0631200963569607729 + 2.2375458862845025429e-860j)  +/-  (1.19e-241, 1.19e-241j)
| (-8.2728500924074544291 - 1.2723443621190475973e-865j)  +/-  (3.92e-240, 3.92e-240j)
| (-4.8046233775745683148 - 4.5205809867188687316e-887j)  +/-  (2.45e-243, 2.45e-243j)
| (-9.7061075014197700457 - 1.0139927482941896601e-884j)  +/-  (4.7e-240, 4.7e-240j)
| (-6.9266792439449387345 - 2.3233950517548203288e-894j)  +/-  (8.03e-241, 8.03e-241j)
| (9.7061075014197700457 - 2.9572334946299955874e-898j)  +/-  (4.53e-240, 4.53e-240j)
| (3.9842525092975248004 + 6.2761536078629547498e-902j)  +/-  (1.02e-244, 1.02e-244j)
| (-1.579533296548867692 - 2.0468122470493846745e-907j)  +/-  (3.92e-250, 3.92e-250j)
| (-3.1750133363364192544 + 1.5122024988971365537e-903j)  +/-  (2.5e-246, 2.5e-246j)
| (5.6392754482264297141 - 2.0775844948877067596e-899j)  +/-  (3.39e-242, 3.39e-242j)
| (-10.211069812925635133 + 4.2055675527459095277e-899j)  +/-  (4.13e-240, 4.13e-240j)
| (3.5784179954055002541 - 3.9314016792124207126e-911j)  +/-  (1.83e-245, 1.83e-245j)
| (11.852196256869617071 + 3.6645353721093913172e-912j)  +/-  (4.68e-241, 4.68e-241j)
| (-0.78879411019526713911 + 4.2126052543341892345e-926j)  +/-  (1.28e-252, 1.28e-252j)
| (1.1837972960531426509 + 4.1412179927161475476e-922j)  +/-  (2.16e-251, 2.16e-251j)
| (2.3742259639412336171 + 4.2916872667685723389e-919j)  +/-  (3.49e-248, 3.49e-248j)
| (-7.8161564839840200883 - 3.5681669527695817083e-921j)  +/-  (2.51e-240, 2.51e-240j)
| (0.78879411019526713911 + 2.6838366813917014296e-938j)  +/-  (1.46e-252, 1.46e-252j)
| (-0.39427621554318114781 + 2.5823200062136966012e-938j)  +/-  (7.46e-254, 7.46e-254j)
| (-1.1837972960531426509 + 6.992469356873687165e-937j)  +/-  (2.07e-251, 2.07e-251j)
| (1.9762556176593884449 + 1.935374935504961944e-933j)  +/-  (3.27e-249, 3.27e-249j)
| (0.39427621554318114781 - 6.854690187461605139e-939j)  +/-  (7.46e-254, 7.46e-254j)
| (2.355602753326513682e-967 - 5.2078868704836594144e-967j)  +/-  (3.6e-965, 3.6e-965j)
| (-1.9762556176593884449 - 1.6772369620051943514e-934j)  +/-  (3.18e-249, 3.18e-249j)
| (-2.3742259639412336171 - 1.1983984376551140698e-933j)  +/-  (4.13e-248, 4.13e-248j)
-------------------------------------------------
The weights are:
| (2.0326298829658879104e-26 - 1.4366032470588199423e-819j)  +/-  (7.18e-51, 2.47e-170j)
| (4.6807347381047564859e-24 - 7.2324465999631160827e-818j)  +/-  (1.54e-49, 5.32e-169j)
| (2.093098582846016693e-48 + 2.3849088920811053983e-831j)  +/-  (2.86e-61, 9.85e-181j)
| (2.0326298829658879104e-26 - 4.1807448692220822248e-819j)  +/-  (1.84e-53, 6.33e-173j)
| (5.8680109554960143265e-43 - 1.5712952639833620898e-828j)  +/-  (6.67e-60, 2.3e-179j)
| (4.7779793052799765668e-35 - 2.4199997486418387121e-824j)  +/-  (2.06e-57, 7.09e-177j)
| (6.9330073798860006421e-20 + 8.6522053985910904011e-817j)  +/-  (7.32e-51, 2.52e-170j)
| (1.2134983535332409183e-10 + 9.8143536454223648237e-813j)  +/-  (1.37e-43, 4.71e-163j)
| (2.0898499538350775514e-08 + 9.4086906305982418845e-812j)  +/-  (1.36e-40, 4.68e-160j)
| (5.8680109554960143265e-43 + 1.6326949184371906718e-828j)  +/-  (4.21e-65, 1.45e-184j)
| (1.0555486674155470532e-05 + 2.6380066705793264676e-810j)  +/-  (6.79e-38, 2.34e-157j)
| (0.0034097386806714308008 + 2.9952091245654922034e-809j)  +/-  (1.3e-27, 4.49e-147j)
| (7.3746946495350049249e-32 + 1.426504347329785203e-822j)  +/-  (3.58e-57, 1.23e-176j)
| (4.9042482496257813033e-18 - 5.3294244427282520442e-816j)  +/-  (1.41e-50, 4.84e-170j)
| (1.2134983535332409183e-10 - 1.6698814062346013869e-812j)  +/-  (6.16e-48, 2.12e-167j)
| (2.0161164101245637805e-07 - 2.4992547063279836361e-811j)  +/-  (5.35e-41, 1.84e-160j)
| (1.6019099444515148973e-06 - 1.1527832481005360219e-810j)  +/-  (4.08e-41, 1.41e-160j)
| (0.00026749188751006891552 - 4.4792426496889109098e-810j)  +/-  (2.89e-35, 9.95e-155j)
| (2.093098582846016693e-48 - 2.5239406148638835289e-831j)  +/-  (6.3e-68, 2.17e-187j)
| (4.9042482496257813033e-18 + 9.5514233435643098059e-816j)  +/-  (4.37e-55, 1.51e-174j)
| (9.7806879129363705437e-15 + 2.5154216171769918224e-814j)  +/-  (3.33e-53, 1.15e-172j)
| (2.5307885261102354053e-16 - 5.1101294578899154203e-815j)  +/-  (2.89e-54, 9.95e-174j)
| (6.9330073798860006421e-20 - 1.7078924158228214558e-816j)  +/-  (6.71e-57, 2.31e-176j)
| (1.0555486674155470532e-05 - 1.3020473648412187769e-810j)  +/-  (2.4e-45, 8.26e-165j)
| (6.6624706976357767418e-12 + 4.5553957652880974065e-813j)  +/-  (7.79e-52, 2.68e-171j)
| (0.0010386291644793544391 - 1.8598509295074681895e-809j)  +/-  (1.38e-40, 4.74e-160j)
| (5.2716654443737682728e-29 - 7.5911556153324557678e-821j)  +/-  (7.35e-63, 2.53e-182j)
| (1.1169151003963276417e-38 - 2.7810968361022628564e-826j)  +/-  (1.52e-67, 5.24e-187j)
| (5.2716654443737682728e-29 + 5.1638732962933698629e-821j)  +/-  (3.91e-63, 1.35e-182j)
| (0.0034097386806714308008 - 9.6361756277757875802e-810j)  +/-  (4.33e-43, 1.49e-162j)
| (2.8923214197654518893e-13 - 1.125018950336150816e-813j)  +/-  (1.43e-53, 4.92e-173j)
| (1.7699715859657334523e-09 - 3.1995279670389761789e-812j)  +/-  (3.38e-53, 1.17e-172j)
| (2.8923214197654518893e-13 + 6.7236343345775309569e-814j)  +/-  (2.25e-57, 7.74e-177j)
| (0.045398692864748827383 - 7.3759726406318204183e-809j)  +/-  (1.35e-38, 4.67e-158j)
| (4.7779793052799765668e-35 + 2.3225010106659565091e-824j)  +/-  (8.19e-67, 2.82e-186j)
| (1.1169151003963276417e-38 + 2.755887186771070425e-826j)  +/-  (4.35e-69, 1.5e-188j)
| (5.8026226157771469059e-05 + 2.5481070012080621385e-810j)  +/-  (2.52e-49, 8.7e-169j)
| (2.0161164101245637805e-07 + 4.601617588525842321e-811j)  +/-  (2.86e-52, 9.86e-172j)
| (1.7699715859657334523e-09 + 5.5493123498506405583e-812j)  +/-  (1.12e-53, 3.85e-173j)
| (2.5307885261102354053e-16 + 2.9794271601198259405e-815j)  +/-  (4.9e-60, 1.69e-179j)
| (1.6019099444515148973e-06 + 6.0010394284150452272e-811j)  +/-  (1.33e-52, 4.58e-172j)
| (6.9207048199740978517e-22 - 1.3230891779562287802e-817j)  +/-  (3.93e-63, 1.35e-182j)
| (6.6624706976357767418e-12 - 2.7102912411467692404e-813j)  +/-  (2.57e-57, 8.85e-177j)
| (6.9207048199740978517e-22 + 3.3949572177649485623e-817j)  +/-  (7.15e-63, 2.46e-182j)
| (5.8026226157771469059e-05 - 5.5222582257921226805e-810j)  +/-  (6.49e-54, 2.24e-173j)
| (0.045398692864748827383 + 4.485323581953328411e-810j)  +/-  (7.21e-50, 2.49e-169j)
| (0.0010386291644793544391 + 7.015662222511798134e-810j)  +/-  (1.75e-52, 6.04e-172j)
| (2.0898499538350775514e-08 - 1.6750209154945395985e-811j)  +/-  (4.53e-56, 1.56e-175j)
| (4.6807347381047564859e-24 + 2.2126166459792468941e-818j)  +/-  (1.12e-64, 3.85e-184j)
| (0.00026749188751006891552 + 1.0586371533588590603e-809j)  +/-  (4.04e-54, 1.39e-173j)
| (7.3746946495350049249e-32 - 1.2416856276931846096e-822j)  +/-  (1.51e-68, 5.21e-188j)
| (0.11536940911860985222 - 2.3328948122867278043e-809j)  +/-  (5.86e-52, 2.02e-171j)
| (0.078264101548096858352 + 8.2963033730954842447e-809j)  +/-  (3.46e-52, 1.19e-171j)
| (0.0094949153068523089996 - 4.4205623367176098407e-809j)  +/-  (1.09e-53, 3.76e-173j)
| (9.7806879129363705437e-15 - 1.4954429481544939598e-814j)  +/-  (1.96e-60, 6.76e-180j)
| (0.11536940911860985222 - 8.4542163232693382878e-809j)  +/-  (7.2e-53, 2.48e-172j)
| (0.14556029162597161507 + 4.3123746228878838406e-809j)  +/-  (7.43e-53, 2.56e-172j)
| (0.078264101548096858352 + 6.7501383184490755002e-810j)  +/-  (9.14e-54, 3.15e-173j)
| (0.02248761738279060688 + 5.9733024654934497274e-809j)  +/-  (1.16e-53, 3.99e-173j)
| (0.14556029162597161507 + 7.7344688820582715499e-809j)  +/-  (1.89e-53, 6.54e-173j)
| (0.15727740877813796956 - 6.2491716277698718146e-809j)  +/-  (1.75e-53, 6.06e-173j)
| (0.02248761738279060688 - 1.0092227401816037787e-809j)  +/-  (2.15e-55, 7.41e-175j)
| (0.0094949153068523089996 + 1.1216212110792688853e-809j)  +/-  (1.22e-55, 4.17e-175j)
