Starting with polynomial:
P : 4194304*t^22 - 484442112*t^20 + 23011000320*t^18 - 586780508160*t^16 + 8801707622400*t^14 - 80095539363840*t^12 + 440525466501120*t^10 - 1415974713753600*t^8 + 2477955749068800*t^6 - 2064963124224000*t^4 + 619488937267200*t^2 - 28158588057600
Extension levels are: 22 33
-------------------------------------------------
Trying to find an order 33 Kronrod extension for:
P1 : 4194304*t^22 - 484442112*t^20 + 23011000320*t^18 - 586780508160*t^16 + 8801707622400*t^14 - 80095539363840*t^12 + 440525466501120*t^10 - 1415974713753600*t^8 + 2477955749068800*t^6 - 2064963124224000*t^4 + 619488937267200*t^2 - 28158588057600
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4194304*t^55 - 29299937209477290534117564620807891582976/12826018422547848378106508783339*t^53 + 7345956842939883266137015274585978305511424/12826018422547848378106508783339*t^51 - 161012916312041763831910265799196118129049600/1832288346078264054015215540477*t^49 + 16954410707339783346956361147466439253963571200/1832288346078264054015215540477*t^47 - 1302477898584032897773456581742851553334930964480/1832288346078264054015215540477*t^45 + 75763161116385977486526357311385851308279649402880/1832288346078264054015215540477*t^43 - 3418600718716904410106425513375377075048790743121920/1832288346078264054015215540477*t^41 + 9355383817095325314453339329264339611706599756185600/140945257390635696462708887729*t^39 - 265306162383354766120030983934976936734046997867110400/140945257390635696462708887729*t^37 + 6040364758824077874746490821802270645893978391333580800/140945257390635696462708887729*t^35 - 110872275649714503958327437929474862995895380187814348800/140945257390635696462708887729*t^33 + 1643517674269904654154010348609184213632151930117035315200/140945257390635696462708887729*t^31 - 19666225063530667493707480792377453100433085243640286976000/140945257390635696462708887729*t^29 + 189484596669496165544601641311213065622493869072723135104000/140945257390635696462708887729*t^27 - 1463340965143395642216197330085624702281981266422998270400000/140945257390635696462708887729*t^25 + 8996812588601268463571326432111430367720865684338636500760000/140945257390635696462708887729*t^23 - 43628956433309449507163577266415443748059622847960991806740000/140945257390635696462708887729*t^21 + 164852634360430682136784560657504805548651327152742554924550000/140945257390635696462708887729*t^19 - 477704211538643411773652082174884002747963751935243610310825000/140945257390635696462708887729*t^17 + 1039964199771896185496380929041683470567606374529623355726075000/140945257390635696462708887729*t^15 - 1655505042533999996868201394174928386953969451273696274590762500/140945257390635696462708887729*t^13 + 1858178657125495390122676925265469723451158542818375247082143750/140945257390635696462708887729*t^11 - 1397168750517162316812607484176617851703089604565360834752140625/140945257390635696462708887729*t^9 + 2606216215564412373588638225374331071342376801320140707184328125/563781029562542785850835550916*t^7 - 1329354568967666347861123836972213174830202698822271614226796875/1127562059125085571701671101832*t^5 + 297688098918020702067753905858391030461897259106766713226953125/2255124118250171143403342203664*t^3 - 19721077965368831811114301553545156234580608903716550427109375/4510248236500342286806684407328*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:
| (7.5450943570838801626 + 1.0143811668426689747e-962j)  +/-  (9.25e-245, 9.25e-245j)
| (-6.1250286046252214457 + 6.0489641480928286428e-962j)  +/-  (1.83e-243, 1.83e-243j)
| (-8.1231378788395197473 - 1.4144774691478718235e-964j)  +/-  (1.43e-245, 1.43e-245j)
| (-7.0337395676256695255 - 7.7699760466688812169e-963j)  +/-  (3.91e-244, 3.91e-244j)
| (-8.8379660885791811157 + 1.7040043673826383219e-965j)  +/-  (8.66e-247, 8.66e-247j)
| (7.0337395676256695255 - 1.8531096382690259307e-961j)  +/-  (3.55e-244, 3.55e-244j)
| (4.9398341310601758879 - 1.0189257269261954532e-959j)  +/-  (5.92e-243, 5.92e-243j)
| (-7.5450943570838801626 + 9.6060242491842017702e-971j)  +/-  (9.2e-245, 9.2e-245j)
| (8.1231378788395197473 - 7.4254070511036352698e-971j)  +/-  (1.26e-245, 1.26e-245j)
| (5.7092013532052637774 - 2.7004540085916350942e-967j)  +/-  (2.99e-243, 2.99e-243j)
| (6.564380437355105015 - 1.6069895722469051898e-969j)  +/-  (9.64e-244, 9.64e-244j)
| (1.1767139584812444474 - 6.7109091946049651836e-976j)  +/-  (7.67e-249, 7.67e-249j)
| (-1.2923980620256115832 - 2.2806762439325838185e-975j)  +/-  (1.49e-248, 1.49e-248j)
| (-1.1767139584812444474 + 1.3925110511707789852e-975j)  +/-  (7.91e-249, 7.91e-249j)
| (-6.564380437355105015 - 2.9662080551707404387e-972j)  +/-  (9.74e-244, 9.74e-244j)
| (-4.9398341310601758879 - 2.3780242105421628878e-969j)  +/-  (6.25e-243, 6.25e-243j)
| (2.0010629344852670319 + 4.9584696738524803084e-972j)  +/-  (2.26e-246, 2.26e-246j)
| (6.1250286046252214457 - 6.7502832401932999765e-970j)  +/-  (1.87e-243, 1.87e-243j)
| (-2.1442335927985344636 + 9.4454677804085798295e-973j)  +/-  (8.75e-246, 8.75e-246j)
| (-3.165265909202137447 + 1.7667475318258570825e-970j)  +/-  (9.03e-244, 9.03e-244j)
| (2.9520503768122719308 - 1.3579576663131316222e-969j)  +/-  (3.15e-244, 3.15e-244j)
| (4.2943124805931615158 + 3.6521363478642792915e-977j)  +/-  (6.59e-243, 6.59e-243j)
| (-4.595121421052517108 + 5.6760188166715758918e-989j)  +/-  (6.79e-243, 6.79e-243j)
| (5.3138713728604736996 - 1.9934102640366636321e-988j)  +/-  (4.33e-243, 4.33e-243j)
| (-4.0145228869357695538 - 1.2691170819125453478e-995j)  +/-  (4.82e-243, 4.82e-243j)
| (-2.9520503768122719308 + 2.9223470063426750441e-997j)  +/-  (2.99e-244, 2.99e-244j)
| (8.8379660885791811157 - 2.9606055629596242521e-1000j)  +/-  (7.79e-247, 7.79e-247j)
| (2.6456374410581727008 + 3.885107704236405215e-996j)  +/-  (4.92e-245, 4.92e-245j)
| (-3.4020406095733366293 + 5.6575124880833982738e-998j)  +/-  (1.49e-243, 1.49e-243j)
| (-2.0010629344852670319 - 1.8456361882009691133e-1002j)  +/-  (2.15e-246, 2.15e-246j)
| (1.6558743732864224954 - 1.6554900735018885085e-1003j)  +/-  (7.34e-248, 7.34e-248j)
| (2.1442335927985344636 - 7.114572025540087543e-1000j)  +/-  (8.8e-246, 8.8e-246j)
| (-4.2943124805931615158 - 6.7146268077482762363e-998j)  +/-  (6.85e-243, 6.85e-243j)
| (4.595121421052517108 + 1.7186570451726553611e-1005j)  +/-  (6.99e-243, 6.99e-243j)
| (-2.3084726740285863854 - 1.2689712898100995955e-1017j)  +/-  (1.77e-245, 1.77e-245j)
| (-5.3138713728604736996 - 4.1707309116350447729e-1016j)  +/-  (4.7e-243, 4.7e-243j)
| (-5.7092013532052637774 - 2.3773756581119340287e-1019j)  +/-  (3.37e-243, 3.37e-243j)
| (-0.2341791399309906351 - 3.751770605107593426e-1040j)  +/-  (7.4e-254, 7.4e-254j)
| (4.0145228869357695538 + 2.5287371271988455438e-1028j)  +/-  (4.97e-243, 4.97e-243j)
| (1.0531909678010962568 + 1.855639335961081949e-1049j)  +/-  (1.28e-249, 1.28e-249j)
| (-1.6558743732864224954 - 1.3410923178037361651e-1047j)  +/-  (7.83e-248, 7.83e-248j)
| (-3.7107015328778049148 - 5.579310735188379722e-1043j)  +/-  (2.57e-243, 2.57e-243j)
| (3.165265909202137447 - 5.7746204304757936034e-1053j)  +/-  (9.15e-244, 9.15e-244j)
| (0.2341791399309906351 - 3.3436254372755694792e-1077j)  +/-  (8.03e-254, 8.03e-254j)
| (-2.6456374410581727008 + 3.8700327971932649342e-1068j)  +/-  (5.4e-245, 5.4e-245j)
| (-1.0531909678010962568 + 1.9396943639135340699e-1072j)  +/-  (1.33e-249, 1.33e-249j)
| (1.2923980620256115832 + 2.5530940200171080824e-1071j)  +/-  (1.36e-248, 1.36e-248j)
| (3.7107015328778049148 + 9.6719559100275892783e-1069j)  +/-  (2.51e-243, 2.51e-243j)
| (0.41556269221320780571 + 3.2759714994070741663e-1090j)  +/-  (5.5e-253, 5.5e-253j)
| (3.4020406095733366293 - 4.7490607239819877086e-1088j)  +/-  (1.44e-243, 1.44e-243j)
| (5.7601493196532934318e-1114 + 4.5647945297330371773e-1115j)  +/-  (3.18e-1112, 3.18e-1112j)
| (-0.70368609717000693217 + 1.5127322944538617087e-1095j)  +/-  (1.16e-251, 1.16e-251j)
| (-0.41556269221320780571 - 1.1401434003460884066e-1096j)  +/-  (6.17e-253, 6.17e-253j)
| (2.3084726740285863854 - 1.9718929554426715362e-1094j)  +/-  (1.65e-245, 1.65e-245j)
| (0.70368609717000693217 + 1.0676232429292700856e-1099j)  +/-  (1.13e-251, 1.13e-251j)
-------------------------------------------------
The weights are:
| (5.7429307828639396585e-26 - 1.1525435696912370501e-980j)  +/-  (1.02e-76, 3.37e-199j)
| (1.2265665438552282539e-17 - 3.9508760013513269059e-976j)  +/-  (3.69e-72, 1.22e-194j)
| (7.7888187413764833071e-30 - 1.3151150586243525548e-983j)  +/-  (4.56e-79, 1.51e-201j)
| (8.9846951668457735022e-23 - 2.069715775790242034e-979j)  +/-  (6.91e-76, 2.29e-198j)
| (5.7089384053573711912e-35 + 1.6923585910630977153e-986j)  +/-  (2.22e-81, 7.34e-204j)
| (8.9846951668457735022e-23 + 1.1810704198284749999e-978j)  +/-  (3.96e-78, 1.31e-200j)
| (5.1526162971622229638e-12 + 4.2168902474339451056e-970j)  +/-  (1.19e-71, 3.93e-194j)
| (5.7429307828639396585e-26 + 2.40854987428286975e-981j)  +/-  (2.61e-78, 8.63e-201j)
| (7.7888187413764833071e-30 + 5.3909445222709919173e-983j)  +/-  (5.41e-82, 1.79e-204j)
| (1.5974421285592403599e-15 - 1.5833887540237484257e-973j)  +/-  (5.58e-75, 1.85e-197j)
| (4.9344093147727931516e-20 - 7.6787257209417506755e-977j)  +/-  (2.49e-77, 8.24e-200j)
| (-0.048727051987612561592 + 1.9776608223713928039e-962j)  +/-  (1.36e-47, 4.51e-170j)
| (0.052329982887081628794 - 5.5348952784958541081e-963j)  +/-  (1.43e-49, 4.73e-172j)
| (-0.048727051987612561592 + 1.2165807491081005936e-962j)  +/-  (6.39e-48, 2.11e-170j)
| (4.9344093147727931516e-20 + 1.0890362403559954762e-977j)  +/-  (4.65e-78, 1.54e-200j)
| (5.1526162971622229638e-12 + 5.3066503839658619698e-972j)  +/-  (1.65e-74, 5.46e-197j)
| (0.0037924699468718957008 - 1.0630134432026420385e-963j)  +/-  (8.74e-60, 2.89e-182j)
| (1.2265665438552282539e-17 + 3.74470444218083489e-975j)  +/-  (3.72e-77, 1.23e-199j)
| (-0.00041184860781947110532 + 3.968898885309149816e-964j)  +/-  (8.3e-62, 2.75e-184j)
| (4.6055392631917664308e-06 + 1.663326631749311374e-966j)  +/-  (1.78e-68, 5.89e-191j)
| (2.5165565829036211423e-05 - 1.6925065542412615224e-965j)  +/-  (1.01e-67, 3.35e-190j)
| (1.549741972918215327e-09 + 1.243944458425834942e-968j)  +/-  (3.99e-73, 1.32e-195j)
| (1.2376049560106315178e-10 - 8.4883587207670498258e-971j)  +/-  (1.66e-74, 5.51e-197j)
| (1.1854526369728914173e-13 + 7.3392301572706037811e-972j)  +/-  (7.54e-76, 2.5e-198j)
| (1.6362298850941928642e-08 - 5.8868147556865805325e-969j)  +/-  (5.05e-73, 1.67e-195j)
| (2.5165565829036211423e-05 - 4.261410584122204565e-966j)  +/-  (6.27e-69, 2.07e-191j)
| (5.7089384053573711912e-35 - 5.9767238591445844155e-986j)  +/-  (7.67e-89, 2.54e-211j)
| (0.00016786407312893631005 + 4.5857364411679092349e-965j)  +/-  (8.3e-69, 2.75e-191j)
| (1.5459596537259113991e-06 - 3.4117806432277909018e-967j)  +/-  (6.01e-71, 1.99e-193j)
| (0.0037924699468718957008 - 4.4997932519988624244e-964j)  +/-  (3.14e-65, 1.04e-187j)
| (0.012398127730874445416 + 1.1483629055322336939e-963j)  +/-  (1.24e-64, 4.1e-187j)
| (-0.00041184860781947110532 + 1.0059647109866358842e-963j)  +/-  (7.15e-67, 2.37e-189j)
| (1.549741972918215327e-09 + 8.6886413190439261331e-970j)  +/-  (1.71e-74, 5.67e-197j)
| (1.2376049560106315178e-10 - 2.350374225624656152e-969j)  +/-  (1.69e-76, 5.58e-199j)
| (0.00098164911804898235571 - 1.2716920142923211383e-964j)  +/-  (3.22e-68, 1.06e-190j)
| (1.1854526369728914173e-13 - 2.6715361633197574403e-973j)  +/-  (1.06e-78, 3.51e-201j)
| (1.5974421285592403599e-15 + 1.139042062377042993e-974j)  +/-  (4.74e-80, 1.57e-202j)
| (0.093355143037481596334 + 1.7235286533208100676e-962j)  +/-  (1.25e-66, 4.12e-189j)
| (1.6362298850941928642e-08 - 5.7007183963000503701e-968j)  +/-  (5.36e-77, 1.77e-199j)
| (0.087727131969708258767 - 1.412629989344875731e-962j)  +/-  (1.58e-67, 5.22e-190j)
| (0.012398127730874445416 + 5.7166114744308263203e-964j)  +/-  (5.9e-69, 1.95e-191j)
| (1.8537209949962838903e-07 + 4.0544933974179186871e-968j)  +/-  (4.18e-74, 1.38e-196j)
| (4.6055392631917664308e-06 + 7.600269149045059794e-966j)  +/-  (2.94e-75, 9.71e-198j)
| (0.093355143037481596334 + 1.8951171129617563854e-962j)  +/-  (3.92e-70, 1.3e-192j)
| (0.00016786407312893631005 + 1.3864916314440458692e-965j)  +/-  (5.77e-72, 1.91e-194j)
| (0.087727131969708258767 - 9.1603128240922294621e-963j)  +/-  (4.12e-69, 1.36e-191j)
| (0.052329982887081628794 - 9.4585276008177527997e-963j)  +/-  (1.81e-70, 5.98e-193j)
| (1.8537209949962838903e-07 + 2.8551766342192349579e-967j)  +/-  (2.73e-77, 9.04e-200j)
| (0.11303996373580710692 - 1.4354277379355650481e-962j)  +/-  (3.44e-71, 1.13e-193j)
| (1.5459596537259113991e-06 - 1.8516476196444800897e-966j)  +/-  (1.61e-76, 5.31e-199j)
| (0.15197707093810716567 - 1.7401047602504241096e-962j)  +/-  (2.96e-71, 9.72e-194j)
| (0.10932651214945605497 + 5.5113968258914943971e-963j)  +/-  (2.84e-72, 9.34e-195j)
| (0.11303996373580710692 - 1.2126078340536991781e-962j)  +/-  (5.81e-72, 1.91e-194j)
| (0.00098164911804898235571 - 3.5039164852404407761e-964j)  +/-  (1.12e-74, 3.91e-197j)
| (0.10932651214945605497 + 7.3429626313322409275e-963j)  +/-  (1.03e-72, 3.18e-195j)
