Starting with polynomial:
P : t^22 - 231*t^20 + 21945*t^18 - 1119195*t^16 + 33575850*t^14 - 611080470*t^12 + 6721885170*t^10 - 43212118950*t^8 + 151242416325*t^6 - 252070693875*t^4 + 151242416325*t^2 - 13749310575
Extension levels are: 22 33
-------------------------------------------------
Trying to find an order 33 Kronrod extension for:
P1 : t^22 - 231*t^20 + 21945*t^18 - 1119195*t^16 + 33575850*t^14 - 611080470*t^12 + 6721885170*t^10 - 43212118950*t^8 + 151242416325*t^6 - 252070693875*t^4 + 151242416325*t^2 - 13749310575
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^55 - 13971298794497151629503996191410013/12826018422547848378106508783339*t^53 + 7005650370540507570397391581140497499/12826018422547848378106508783339*t^51 - 307107765792926337875195056532280193575/1832288346078264054015215540477*t^49 + 64675944165572293651414341535440213218550/1832288346078264054015215540477*t^47 - 9937117756531012708842899946158230234794090/1832288346078264054015215540477*t^45 + 1156054094183135642799779622060941334660028830/1832288346078264054015215540477*t^43 - 104327414511624280093579880168926302339135459690/1832288346078264054015215540477*t^41 + 571007313055134601712239949295919165753576645275/140945257390635696462708887729*t^39 - 32386006150311861098636594718625114347417846419325/140945257390635696462708887729*t^37 + 1474698427447284637389279985791569981907709568196675/140945257390635696462708887729*t^35 - 54136853344587160135902069301501397947214541107331225/140945257390635696462708887729*t^33 + 1604997728779203763822275731063656458625148369254917300/140945257390635696462708887729*t^31 - 38410595827208334948647423422612213086783369616484935500/140945257390635696462708887729*t^29 + 740174205740219396658600161371926037587866676065324746500/140945257390635696462708887729*t^27 - 11432351290182778454814041641293942986577978643929673987500/140945257390635696462708887729*t^25 + 140575196696894819743301975501741099495638526317791195324375/140945257390635696462708887729*t^23 - 1363404888540920297098861789575482617126863213998780993960625/140945257390635696462708887729*t^21 + 10303289647526917633549035041094050346790707947046409682784375/140945257390635696462708887729*t^19 - 59713026442330426471706510271860500343495468991905451288853125/140945257390635696462708887729*t^17 + 259991049942974046374095232260420867641901593632405838931518750/140945257390635696462708887729*t^15 - 827752521266999998434100697087464193476984725636848137295381250/140945257390635696462708887729*t^13 + 1858178657125495390122676925265469723451158542818375247082143750/140945257390635696462708887729*t^11 - 2794337501034324633625214968353235703406179209130721669504281250/140945257390635696462708887729*t^9 + 2606216215564412373588638225374331071342376801320140707184328125/140945257390635696462708887729*t^7 - 1329354568967666347861123836972213174830202698822271614226796875/140945257390635696462708887729*t^5 + 297688098918020702067753905858391030461897259106766713226953125/140945257390635696462708887729*t^3 - 19721077965368831811114301553545156234580608903716550427109375/140945257390635696462708887729*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:
| (7.5149489642054197389 - 4.8403672971357607949e-690j)  +/-  (6.61e-243, 6.61e-243j)
| (10.670374769172731445 - 3.7489710088096122036e-703j)  +/-  (1.22e-244, 1.22e-244j)
| (-9.9472098907364913895 + 8.1859708094479250792e-703j)  +/-  (5.15e-244, 5.15e-244j)
| (-6.4984830344035990592 + 1.8306445455230766501e-700j)  +/-  (9.98e-243, 9.98e-243j)
| (-12.498771506262172634 + 6.2158620402410540324e-707j)  +/-  (1.17e-246, 1.17e-246j)
| (-8.0740299840217109612 + 1.6714709718369196546e-702j)  +/-  (4.42e-243, 4.42e-243j)
| (-11.487851757281464171 + 2.3197450358441942223e-706j)  +/-  (1.97e-245, 1.97e-245j)
| (11.487851757281464171 + 3.6432778660119747464e-706j)  +/-  (2e-245, 2e-245j)
| (12.498771506262172634 + 2.7507715243447389201e-708j)  +/-  (1.27e-246, 1.27e-246j)
| (-6.9859804240188138349 - 7.1125879931517870988e-702j)  +/-  (7.87e-243, 7.87e-243j)
| (-7.5149489642054197389 - 4.1725229206516103375e-708j)  +/-  (6.67e-243, 6.67e-243j)
| (4.4763619773108684158 + 6.5879421907022330193e-716j)  +/-  (1.22e-243, 1.22e-243j)
| (-3.7414963502665176946 + 1.1686435152506796656e-719j)  +/-  (7.39e-245, 7.39e-245j)
| (6.9859804240188138349 + 4.4773119928496674108e-720j)  +/-  (8.64e-243, 8.64e-243j)
| (-6.0730749511228975445 - 3.6674807853951514621e-730j)  +/-  (9.19e-243, 9.19e-243j)
| (3.7414963502665176946 - 4.7383299912892400026e-731j)  +/-  (8.74e-245, 8.74e-245j)
| (4.811211969802644202 - 2.727297369143205923e-729j)  +/-  (2.1e-243, 2.1e-243j)
| (-10.670374769172731445 + 5.4509376479282419995e-736j)  +/-  (1.2e-244, 1.2e-244j)
| (-4.811211969802644202 - 8.8242585979667068895e-733j)  +/-  (2.02e-243, 2.02e-243j)
| (-1.6641248391179069719 - 1.5225992308951374737e-739j)  +/-  (1.05e-248, 1.05e-248j)
| (-8.6620985225841419419 + 5.5890717978983603018e-733j)  +/-  (2.55e-243, 2.55e-243j)
| (1.4894369504331559804 - 1.4021925585538392292e-738j)  +/-  (1.77e-249, 1.77e-249j)
| (-5.6773927131617565383 - 3.813222135834597245e-733j)  +/-  (6.4e-243, 6.4e-243j)
| (-9.2834358430842187617 - 6.5731516753109286278e-734j)  +/-  (1.4e-243, 1.4e-243j)
| (9.9472098907364913895 - 3.1371487667656211575e-732j)  +/-  (4.75e-244, 4.75e-244j)
| (9.2834358430842187617 + 5.3672016720704154068e-736j)  +/-  (1.26e-243, 1.26e-243j)
| (1.8277268673013244104 + 7.5202175052001892306e-753j)  +/-  (1.92e-248, 1.92e-248j)
| (2.8299303411111687989 + 8.0904381730247689795e-748j)  +/-  (3.25e-246, 3.25e-246j)
| (6.4984830344035990592 - 3.0017577709371693196e-748j)  +/-  (1.06e-242, 1.06e-242j)
| (-0.58769439534419465729 + 9.7051817420283760207e-771j)  +/-  (8.86e-253, 8.86e-253j)
| (-4.4763619773108684158 + 1.107049787249450831e-761j)  +/-  (1.24e-243, 1.24e-243j)
| (5.6773927131617565383 + 6.1339888023692100548e-764j)  +/-  (6.82e-243, 6.82e-243j)
| (1.6641248391179069719 - 3.3591237377392578976e-780j)  +/-  (1.15e-248, 1.15e-248j)
| (-3.0324042278316759091 + 1.2608899399076721703e-776j)  +/-  (1.47e-245, 1.47e-245j)
| (-3.2646733639789117668 + 4.2459420967312716323e-776j)  +/-  (2.35e-245, 2.35e-245j)
| (3.2646733639789117668 - 3.8820314994681504764e-777j)  +/-  (2.56e-245, 2.56e-245j)
| (8.6620985225841419419 - 1.7265536236540490513e-773j)  +/-  (2.56e-243, 2.56e-243j)
| (0.58769439534419465729 + 1.0004852176463241984e-787j)  +/-  (8.36e-253, 8.36e-253j)
| (0.99516242227121542187 - 3.8605196426555240227e-786j)  +/-  (1.61e-251, 1.61e-251j)
| (6.0730749511228975445 - 1.3765277942996804348e-776j)  +/-  (9.39e-243, 9.39e-243j)
| (-0.33117931571527377789 - 6.1284345167044612837e-798j)  +/-  (1.05e-253, 1.05e-253j)
| (-5.2477244337144249688 - 4.4555725678746855099e-787j)  +/-  (3.42e-243, 3.42e-243j)
| (-2.8299303411111687989 - 2.4077769794725724117e-790j)  +/-  (3.47e-246, 3.47e-246j)
| (2.3417599962877077336 - 2.6438948170184930773e-792j)  +/-  (1.16e-247, 1.16e-247j)
| (3.0324042278316759091 - 8.6185718929978225e-790j)  +/-  (1.45e-245, 1.45e-245j)
| (-1.4894369504331559804 + 2.4397086335226097511e-793j)  +/-  (1.86e-249, 1.86e-249j)
| (-1.8277268673013244104 + 6.4743097274106666622e-794j)  +/-  (1.8e-248, 1.8e-248j)
| (8.0740299840217109612 - 9.1834044319935163603e-787j)  +/-  (4.44e-243, 4.44e-243j)
| (-4.9823431213109992383e-831 + 1.2434884442388077095e-830j)  +/-  (7.37e-829, 7.37e-829j)
| (5.2477244337144249688 - 5.8272594196967005058e-798j)  +/-  (3.61e-243, 3.61e-243j)
| (-2.3417599962877077336 + 1.3121196360445318108e-809j)  +/-  (1.1e-247, 1.1e-247j)
| (-0.99516242227121542187 - 1.5854811593594019145e-814j)  +/-  (1.54e-251, 1.54e-251j)
| (-4.174829679696520672 + 1.1656218064281396365e-813j)  +/-  (4.32e-244, 4.32e-244j)
| (0.33117931571527377789 - 7.4351821400262087146e-825j)  +/-  (1.05e-253, 1.05e-253j)
| (4.174829679696520672 + 8.7462750752207626096e-827j)  +/-  (4.35e-244, 4.35e-244j)
-------------------------------------------------
The weights are:
| (1.1854526369728914173e-13 + 3.2207509091244712277e-702j)  +/-  (2.58e-65, 3.79e-187j)
| (5.7429307828639396585e-26 + 1.9890768066604628023e-711j)  +/-  (1.32e-73, 1.94e-195j)
| (8.9846951668457735022e-23 + 2.9598593540595761198e-710j)  +/-  (4.94e-73, 7.26e-195j)
| (1.2376049560106315178e-10 + 1.2085169054481038326e-701j)  +/-  (7.56e-64, 1.11e-185j)
| (5.7089384053573711912e-35 - 2.4332096657794135618e-717j)  +/-  (7.26e-79, 1.07e-200j)
| (1.5974421285592403599e-15 - 1.6334180019730376205e-705j)  +/-  (3.14e-69, 4.61e-191j)
| (7.7888187413764833071e-30 + 1.8876344790154037447e-714j)  +/-  (8.73e-77, 1.28e-198j)
| (7.7888187413764833071e-30 - 9.0287489338849516581e-714j)  +/-  (7.85e-79, 1.15e-200j)
| (5.7089384053573711912e-35 + 9.7711300325311669116e-717j)  +/-  (4.07e-81, 5.98e-203j)
| (5.1526162971622229638e-12 - 7.5678875361609112124e-703j)  +/-  (2.18e-67, 3.2e-189j)
| (1.1854526369728914173e-13 + 3.8177412725799569282e-704j)  +/-  (9.03e-69, 1.33e-190j)
| (4.6055392631917664308e-06 - 9.2782349186329453243e-697j)  +/-  (5.41e-63, 7.95e-185j)
| (0.00016786407312893631005 - 1.9537057288100295388e-696j)  +/-  (4.62e-59, 6.78e-181j)
| (5.1526162971622229638e-12 - 2.0746300554743275355e-701j)  +/-  (4.36e-71, 6.4e-193j)
| (1.549741972918215327e-09 - 1.2352670615773446804e-700j)  +/-  (4.23e-66, 6.21e-188j)
| (0.00016786407312893631005 - 5.8280264616369545872e-696j)  +/-  (8.35e-61, 1.23e-182j)
| (1.5459596537259113991e-06 + 2.2014308244130584528e-697j)  +/-  (1.25e-64, 1.84e-186j)
| (5.7429307828639396585e-26 - 3.4513459162002635102e-712j)  +/-  (7.4e-78, 1.09e-199j)
| (1.5459596537259113991e-06 + 4.8288270761538020988e-698j)  +/-  (7.66e-65, 1.13e-186j)
| (-0.048727051987612561592 - 1.6948858789839936112e-693j)  +/-  (6.38e-51, 9.38e-173j)
| (1.2265665438552282539e-17 + 5.7345222544381602032e-707j)  +/-  (1.51e-73, 2.21e-195j)
| (0.087727131969708258767 + 1.9048047804385882365e-693j)  +/-  (3.89e-52, 5.72e-174j)
| (1.6362298850941928642e-08 + 8.3580165900819740576e-700j)  +/-  (3.86e-67, 5.67e-189j)
| (4.9344093147727931516e-20 - 1.5521528414163884725e-708j)  +/-  (3.92e-75, 5.77e-197j)
| (8.9846951668457735022e-23 - 2.1249995713872290272e-709j)  +/-  (3.38e-82, 4.96e-204j)
| (4.9344093147727931516e-20 + 1.4743485542629072026e-707j)  +/-  (3.63e-81, 5.33e-203j)
| (0.052329982887081628794 + 1.2680860532154215079e-693j)  +/-  (5.35e-59, 7.86e-181j)
| (0.0037924699468718957008 + 1.3938669423630371512e-694j)  +/-  (1.06e-64, 1.56e-186j)
| (1.2376049560106315178e-10 + 1.6661128320625727874e-700j)  +/-  (1.53e-75, 2.25e-197j)
| (0.11303996373580710692 + 1.6755430709351146499e-693j)  +/-  (1.29e-58, 1.89e-180j)
| (4.6055392631917664308e-06 - 2.3510960598342337198e-697j)  +/-  (2.47e-69, 3.62e-191j)
| (1.6362298850941928642e-08 + 6.0004590499186876064e-699j)  +/-  (5.23e-74, 7.68e-196j)
| (-0.048727051987612561592 - 2.6590241368191654107e-693j)  +/-  (4.2e-60, 6.17e-182j)
| (-0.00041184860781947110532 - 5.5736633809624065318e-695j)  +/-  (4.73e-67, 6.95e-189j)
| (0.00098164911804898235571 + 1.7879490603391875999e-695j)  +/-  (1.68e-67, 2.47e-189j)
| (0.00098164911804898235571 + 4.534627261308192711e-695j)  +/-  (1.79e-68, 2.63e-190j)
| (1.2265665438552282539e-17 - 8.0867955046558148554e-706j)  +/-  (1.18e-81, 1.73e-203j)
| (0.11303996373580710692 + 1.959842503500462092e-693j)  +/-  (2.24e-62, 3.28e-184j)
| (0.10932651214945605497 - 9.9736973154420356221e-694j)  +/-  (1.28e-62, 1.88e-184j)
| (1.549741972918215327e-09 - 1.1640988151499573792e-699j)  +/-  (2.06e-75, 3.03e-197j)
| (0.093355143037481596334 - 2.3760555380540930909e-693j)  +/-  (1.21e-62, 1.78e-184j)
| (1.8537209949962838903e-07 - 5.7477832537935264126e-699j)  +/-  (1.05e-72, 1.54e-194j)
| (0.0037924699468718957008 + 6.3125846057939859281e-695j)  +/-  (1.09e-68, 1.6e-190j)
| (0.012398127730874445416 - 1.5238815304291402531e-694j)  +/-  (1.51e-67, 2.22e-189j)
| (-0.00041184860781947110532 - 1.3114737206043564358e-694j)  +/-  (1.18e-68, 1.73e-190j)
| (0.087727131969708258767 + 1.2746481768846772763e-693j)  +/-  (7.52e-67, 1.11e-188j)
| (0.052329982887081628794 + 7.7192949364676465571e-694j)  +/-  (1.12e-67, 1.64e-189j)
| (1.5974421285592403599e-15 + 4.5544953198024304308e-704j)  +/-  (6.55e-81, 9.61e-203j)
| (0.15197707093810716567 + 2.3912359769372235755e-693j)  +/-  (7.35e-67, 1.09e-188j)
| (1.8537209949962838903e-07 - 3.2355454584972114328e-698j)  +/-  (1.11e-74, 1.64e-196j)
| (0.012398127730874445416 - 7.9979302981865667099e-695j)  +/-  (2.94e-70, 4.43e-192j)
| (0.10932651214945605497 - 7.6410724353019037788e-694j)  +/-  (6.84e-69, 1.03e-190j)
| (2.5165565829036211423e-05 + 6.0160396698381738003e-697j)  +/-  (9.61e-73, 1.45e-194j)
| (0.093355143037481596334 - 2.5951328429837813952e-693j)  +/-  (5.35e-69, 9.27e-191j)
| (2.5165565829036211423e-05 + 2.105498816591180013e-696j)  +/-  (6.18e-73, 8.75e-195j)
