Starting with polynomial:
P : 916312070471295267/2147483648*t^32 - 450883717216034179/134217728*t^30 + 3215318311294669965/268435456*t^28 - 3433305993416342505/134217728*t^26 + 19575867506321251125/536870912*t^24 - 4911763119767877555/134217728*t^22 + 7135957740040123995/268435456*t^20 - 1898924328582105825/134217728*t^18 + 5929294332103310025/1073741824*t^16 - 210258664258982625/134217728*t^14 + 85037948655855195/268435456*t^12 - 5932880138780595/134217728*t^10 + 2170565904431925/536870912*t^8 - 29968365544425/134217728*t^6 + 1735619626125/268435456*t^4 - 9917826435/134217728*t^2 + 300540195/2147483648
Extension levels are: 32 33
-------------------------------------------------
Trying to find an order 33 Kronrod extension for:
P1 : 916312070471295267/2147483648*t^32 - 450883717216034179/134217728*t^30 + 3215318311294669965/268435456*t^28 - 3433305993416342505/134217728*t^26 + 19575867506321251125/536870912*t^24 - 4911763119767877555/134217728*t^22 + 7135957740040123995/268435456*t^20 - 1898924328582105825/134217728*t^18 + 5929294332103310025/1073741824*t^16 - 210258664258982625/134217728*t^14 + 85037948655855195/268435456*t^12 - 5932880138780595/134217728*t^10 + 2170565904431925/536870912*t^8 - 29968365544425/134217728*t^6 + 1735619626125/268435456*t^4 - 9917826435/134217728*t^2 + 300540195/2147483648
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 916312070471295267/2147483648*t^65 - 997398416389985284675/143881404416*t^63 + 2977214558981356512773955/55430311051264*t^61 - 69654400042478942293599091095/263681989670862848*t^59 + 27466376755470819052310757998870205/29662378064044374360064*t^57 - 24469492224051911644380965399877644247/9936896651454865410621440*t^55 + 1122810037370072809536132757679296455510075/217441159906465655888300474368*t^53 - 10083203397378215796785484321136200252731960487/1150916059384922716616774410829824*t^51 + 792695778340922604536007508088729957608348577241261/64735000134194055580185401898739695616*t^49 - 91264475772190739821429183687535774874414174906667973947/6389846209495993289695045604270323189940224*t^47 + 248717933259133418622038162869495256082786089709778035267279557/17724155415899986186956117497125022464256193331200*t^45 - 1789424290435386857248676468179496842610580141044780458414129003/153057928769305214050025494652950749546887927300096*t^43 + 4513932128680338989314354721773575985393542551610349485801786380281114759/544000990633131038377272120261972709990042919624293650268160*t^41 - 550155486840127631573928062144384687134552310030540360296544197461253917643/109344199117259338713831696172656514707998626844483023703900160*t^39 + 4325783084984726439123790794241856378184473399875044451794238520134793850766769/1657249225487618769904328765748007930783728473237092704832779714560*t^37 - 18953794993572198663974188621471174245801892339131786776911733929514357498944452272303/16358334223712550163502400772726292982981757420416863743545781186985984000*t^35 + 211583978210104453811622148174396895822035685578946461111442270686294152099518968747480403/481346197502899693045372396320676829727243999740253202384615198968697313034240*t^33 - 3274694862260960119011600808803684589767096162381833158492550463363078858442814304351329137/23032156762235522946794700684161418196626191385420717748511157370007559602176000*t^31 + 1551288858946957468899860724228496844911483334649222068787085604253814683845556961398543/39710615107302625770335690834761065856252054112794340945708892017254413107200*t^29 - 1080676661832337063104742193192791209726506596608826337265840670747826557594655261324359/119131845321907877311007072504283197568756162338383022837126676051763239321600*t^27 + 70227364857860562584865433263878277974134615502565920226952721661506120204892071760921/39710615107302625770335690834761065856252054112794340945708892017254413107200*t^25 - 9911173245748360917669319582856215030587631872129383531320847497356300138431642955/34530969658524022408987557247618318135871351402429861691920775667177750528*t^23 + 66250889277724310517936619914130858078543873235310218011911102631449142814121300537/1726548482926201120449377862380915906793567570121493084596038783358887526400*t^21 - 1439896031819025059971010050928056495509377566889204673433157861048463903532073187/345309696585240224089875572476183181358713514024298616919207756671777505280*t^19 + 31270830624233249549630055337755300365986335969080431465492190096519116241162013/86327424146310056022468893119045795339678378506074654229801939167944376320*t^17 - 85036540094755051409910241776807363990395190854480377846158766356463294103821383/3453096965852402240898755724761831813587135140242986169192077566717775052800*t^15 + 1114364063048539617546917351488781145699494426146016568336664688163510439755/874201763506937276176900183484008054072692440567844599795462675118424064*t^13 - 83638977367334827212803126512999270693152442505295262781298358061683172133339/1726548482926201120449377862380915906793567570121493084596038783358887526400*t^11 + 443924315309364199318326888671394920883939393788638970322401368229422540467/345309696585240224089875572476183181358713514024298616919207756671777505280*t^9 - 3826029138192385875079244594839656443449640489451648367228840836850190031/172654848292620112044937786238091590679356757012149308459603878335888752640*t^7 + 382512572437821525698716049260982280915067826344136835045885197223346269/1726548482926201120449377862380915906793567570121493084596038783358887526400*t^5 - 72565926143201767995730568921046624310223187731452728027279054203151/69061939317048044817975114495236636271742702804859723383841551334355501056*t^3 + 10305227084816659926353855349491826393353046171694243382376236743101/6906193931704804481797511449523663627174270280485972338384155133435550105600*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
-------------------------------------------------
The nodes are:
| (0.99262803526297191269 + 2.8143354325949413889e-827j)  +/-  (5.11e-232, 5.11e-232j)
| (-0.93490607593773968917 - 3.0770189597817199108e-839j)  +/-  (1.06e-232, 1.06e-232j)
| (-0.95095468484866118539 - 1.2893190796062146437e-849j)  +/-  (1.88e-232, 1.88e-232j)
| (0.99954590212436447864 + 1.8494599603444250406e-858j)  +/-  (1.49e-232, 1.49e-232j)
| (0.91667726665136432428 + 7.1302817222408961122e-870j)  +/-  (4.89e-233, 4.89e-233j)
| (0.93490607593773968917 + 8.3067205815345084653e-870j)  +/-  (9.95e-233, 9.95e-233j)
| (-0.99262803526297191269 - 3.5763817694370547629e-869j)  +/-  (5.29e-232, 5.29e-232j)
| (-0.89632115576605212397 - 8.8007929600276155647e-872j)  +/-  (2.01e-233, 2.01e-233j)
| (-0.82288295013605132165 + 4.0626813493295300217e-873j)  +/-  (6.82e-235, 6.82e-235j)
| (-0.99954590212436447864 + 3.6491226121217707973e-869j)  +/-  (1.57e-232, 1.57e-232j)
| (0.84936761373256997013 + 6.9582338025523268032e-876j)  +/-  (2.37e-234, 2.37e-234j)
| (0.50689990893222939002 - 1.0527772101009021452e-884j)  +/-  (4.34e-242, 4.34e-242j)
| (-0.96476225558750643077 + 4.2386781399122588016e-872j)  +/-  (3.23e-232, 3.23e-232j)
| (-0.87386976894531060613 + 2.9278924344582642945e-877j)  +/-  (7.89e-234, 7.89e-234j)
| (0.9763102836146638072 - 1.0740999387320884984e-873j)  +/-  (4.53e-232, 4.53e-232j)
| (0.87386976894531060613 + 1.9926131638587929548e-886j)  +/-  (7.34e-234, 7.34e-234j)
| (0.89632115576605212397 + 3.3564722694521468644e-886j)  +/-  (2.11e-233, 2.11e-233j)
| (-0.9763102836146638072 + 5.843827528140800882e-884j)  +/-  (4.55e-232, 4.55e-232j)
| (-0.73218211874028968039 - 3.202125870306579681e-891j)  +/-  (8.59e-237, 8.59e-237j)
| (-0.99726386184948156354 - 1.7381312800775007366e-885j)  +/-  (4.22e-232, 4.22e-232j)
| (0.99726386184948156354 + 9.333629447276878157e-885j)  +/-  (4.01e-232, 4.01e-232j)
| (0.76422825199780370415 + 2.2912741680826000459e-899j)  +/-  (4.4e-236, 4.4e-236j)
| (-0.84936761373256997013 - 1.2401162821891256027e-898j)  +/-  (2.41e-234, 2.41e-234j)
| (-0.79448379596794240696 + 5.6281150951164153932e-900j)  +/-  (1.83e-235, 1.83e-235j)
| (-0.76422825199780370415 - 1.6191850536898411049e-899j)  +/-  (4.35e-236, 4.35e-236j)
| (0.95095468484866118539 - 9.4447860188210168953e-894j)  +/-  (1.85e-232, 1.85e-232j)
| (0.73218211874028968039 + 1.4342388967705283884e-909j)  +/-  (9.12e-237, 9.12e-237j)
| (0.82288295013605132165 + 2.1660725636317676459e-904j)  +/-  (7.18e-235, 7.18e-235j)
| (0.9856115115452683354 - 7.1310010426635849853e-904j)  +/-  (5.21e-232, 5.21e-232j)
| (-0.62611293770182399782 - 2.1119812977710865911e-921j)  +/-  (3.34e-239, 3.34e-239j)
| (-0.9856115115452683354 - 1.6246257509024033453e-916j)  +/-  (5.41e-232, 5.41e-232j)
| (0.79448379596794240696 - 9.9343006373119320944e-924j)  +/-  (1.87e-235, 1.87e-235j)
| (0.69842655779521049288 + 4.776130482304652766e-925j)  +/-  (1.48e-237, 1.48e-237j)
| (0.96476225558750643077 + 2.740734305640413049e-927j)  +/-  (3.09e-232, 3.09e-232j)
| (-0.69842655779521049288 + 7.6477487708719787534e-942j)  +/-  (1.57e-237, 1.57e-237j)
| (-0.66304426693021520098 + 2.6509445568826798681e-944j)  +/-  (2.34e-238, 2.34e-238j)
| (-1.8980671881653354754e-967 + 5.5395947628198790723e-968j)  +/-  (1.29e-965, 1.29e-965j)
| (0.58771575724076232904 + 1.2534843469262951512e-947j)  +/-  (4.1e-240, 4.1e-240j)
| (0.62611293770182399782 + 4.0353004038826242927e-948j)  +/-  (3.51e-239, 3.51e-239j)
| (-0.46466930848199221776 + 2.6036646716731693537e-950j)  +/-  (3.73e-243, 3.73e-243j)
| (-0.54794631419915247868 - 7.8194980890117017946e-948j)  +/-  (4.58e-241, 4.58e-241j)
| (-0.91667726665136432428 - 1.679354148383274216e-952j)  +/-  (4.63e-233, 4.63e-233j)
| (0.66304426693021520098 - 8.4087474195172967081e-962j)  +/-  (2.26e-238, 2.26e-238j)
| (0.54794631419915247868 + 1.1777627305716586563e-965j)  +/-  (4.8e-241, 4.8e-241j)
| (0.048307665687738316235 - 4.2148127758026334324e-978j)  +/-  (2.49e-254, 2.49e-254j)
| (-0.58771575724076232904 + 6.0925195408915416115e-966j)  +/-  (3.98e-240, 3.98e-240j)
| (-0.50689990893222939002 + 4.4103900904560249517e-970j)  +/-  (4.48e-242, 4.48e-242j)
| (0.19210360898314249727 + 1.8963677724901382593e-978j)  +/-  (2.04e-250, 2.04e-250j)
| (0.46466930848199221776 - 1.3080961924512388858e-970j)  +/-  (3.86e-243, 3.86e-243j)
| (0.23928736225213707454 + 1.0377870235399328803e-977j)  +/-  (4.06e-249, 4.06e-249j)
| (-0.19210360898314249727 - 2.9529656188722466775e-979j)  +/-  (2.03e-250, 2.03e-250j)
| (-0.42135127613063534536 + 9.5614533163924499757e-973j)  +/-  (3.05e-244, 3.05e-244j)
| (-0.14447196158279649349 + 1.3763164944244662369e-980j)  +/-  (9.9e-252, 9.9e-252j)
| (0.37704942115412110545 - 5.8474597322051066602e-974j)  +/-  (2.08e-245, 2.08e-245j)
| (0.33186860228212764978 - 7.7460702470078262664e-975j)  +/-  (1.3e-246, 1.3e-246j)
| (-0.048307665687738316235 + 6.9706770822062018086e-984j)  +/-  (2.49e-254, 2.49e-254j)
| (-0.37704942115412110545 + 1.3683266894045755784e-973j)  +/-  (2.01e-245, 2.01e-245j)
| (-0.23928736225213707454 + 1.5115804970579631287e-977j)  +/-  (3.92e-249, 3.92e-249j)
| (0.096502696876894365801 - 1.3266918993041877461e-981j)  +/-  (4.39e-253, 4.39e-253j)
| (0.42135127613063534536 + 1.2813278190661255988e-973j)  +/-  (2.91e-244, 2.91e-244j)
| (0.14447196158279649349 + 3.4137907409146530387e-980j)  +/-  (9.34e-252, 9.34e-252j)
| (-0.28591245858945975942 - 3.9008303313192319273e-976j)  +/-  (7.47e-248, 7.47e-248j)
| (-0.33186860228212764978 + 2.3817808012152619017e-975j)  +/-  (1.33e-246, 1.33e-246j)
| (-0.096502696876894365801 - 5.8279766292569905201e-982j)  +/-  (4.39e-253, 4.39e-253j)
| (0.28591245858945975942 - 3.0066668764633512086e-976j)  +/-  (7.01e-248, 7.01e-248j)
-------------------------------------------------
The weights are:
| (0.0058417370791666933039 - 4.968405943127198397e-828j)  +/-  (5.83e-33, 2.24e-143j)
| (0.017149805209784253256 + 2.5002329174667896963e-829j)  +/-  (2.46e-33, 9.43e-144j)
| (0.014936103606086027385 - 2.1627690539807257321e-829j)  +/-  (2.41e-33, 9.22e-144j)
| (0.0012233608179514718003 + 4.976892105315980542e-828j)  +/-  (6.31e-34, 2.42e-144j)
| (0.019298771430326811294 - 7.1511081763584089263e-828j)  +/-  (1.44e-34, 5.52e-145j)
| (0.017149805209784253256 + 8.3491348712676830861e-828j)  +/-  (1.73e-34, 6.62e-145j)
| (0.0058417370791666933039 - 8.2813536724590568518e-830j)  +/-  (3.71e-36, 1.42e-146j)
| (0.021408913184821915956 + 3.1923951647158765609e-829j)  +/-  (1.01e-35, 3.86e-146j)
| (0.027452098422210403783 - 4.2555189094798497029e-829j)  +/-  (1.45e-36, 5.56e-147j)
| (0.0012233608179514718003 - 1.7282364919604591017e-830j)  +/-  (1.36e-36, 5.22e-147j)
| (0.025505695480894652815 + 5.0079471974464335369e-828j)  +/-  (6.87e-38, 2.64e-148j)
| (0.041654019985643051398 + 2.4136818437825882191e-828j)  +/-  (7.62e-39, 2.92e-149j)
| (0.012676054806654402859 + 1.8283077773803532269e-829j)  +/-  (3.47e-36, 1.33e-146j)
| (0.023486659672163324592 - 3.5413563497060826705e-829j)  +/-  (9.61e-37, 3.69e-147j)
| (0.010423987398806818828 - 1.797833287187372796e-827j)  +/-  (1.66e-38, 6.36e-149j)
| (0.023486659672163324592 - 5.5658726384449689505e-828j)  +/-  (1.66e-38, 6.38e-149j)
| (0.021408913184821915956 + 6.2615176565354290647e-828j)  +/-  (2.26e-38, 8.66e-149j)
| (0.010423987398806818828 - 1.489970346233887207e-829j)  +/-  (3.2e-37, 1.23e-147j)
| (0.032915077643903600263 + 5.3693877158600884304e-829j)  +/-  (6.8e-41, 2.61e-151j)
| (0.0034268187757723709356 + 5.0799268796969030515e-830j)  +/-  (2.09e-37, 8e-148j)
| (0.0034268187757723709356 - 2.1805184354599001914e-827j)  +/-  (4.18e-39, 1.6e-149j)
| (0.031163325561973737171 - 3.8399358384993979085e-828j)  +/-  (1.17e-41, 4.5e-152j)
| (0.025505695480894652815 + 3.8949094525958552842e-829j)  +/-  (6.49e-39, 2.49e-149j)
| (0.029336956689620661369 + 4.6215735056834755435e-829j)  +/-  (2.48e-40, 9.5e-151j)
| (0.031163325561973737171 - 4.9921016284326077261e-829j)  +/-  (5.38e-41, 2.06e-151j)
| (0.014936103606086027385 - 1.0086831316802638839e-827j)  +/-  (1.32e-41, 5.06e-152j)
| (0.032915077643903600263 + 3.5558915942435212076e-828j)  +/-  (1.2e-44, 4.6e-155j)
| (0.027452098422210403783 - 4.5514963352803054545e-828j)  +/-  (2.88e-43, 1.11e-153j)
| (0.0081725040385316684143 + 3.2496773279663135346e-827j)  +/-  (9.7e-42, 3.72e-152j)
| (0.037679130645613398515 - 6.550875910090476681e-829j)  +/-  (1.35e-47, 5.18e-158j)
| (0.0081725040385316684143 + 1.1526125885169982906e-829j)  +/-  (9.61e-42, 3.69e-152j)
| (0.029336956689620661369 + 4.1683112869744272749e-828j)  +/-  (3.45e-44, 1.32e-154j)
| (0.034582122744733034131 - 3.3081306801219362799e-828j)  +/-  (1.65e-46, 6.32e-157j)
| (0.012676054806654402859 + 1.2842676334747041e-827j)  +/-  (1.58e-42, 6.05e-153j)
| (0.034582122744733034131 - 5.7553253321100167757e-829j)  +/-  (1.02e-46, 3.91e-157j)
| (0.036169769475642299861 + 6.1492523490376747388e-829j)  +/-  (1.63e-47, 6.23e-158j)
| (0.048326383986567758375 - 1.3701673733847014249e-828j)  +/-  (1.7e-53, 6.54e-164j)
| (0.039099420133306611207 + 2.7172544282552110291e-828j)  +/-  (1.17e-49, 4.48e-160j)
| (0.037679130645613398515 - 2.8932426836142775484e-828j)  +/-  (4.3e-49, 1.65e-159j)
| (0.042791115596446746934 - 8.2638284726066968208e-829j)  +/-  (7.67e-53, 2.94e-163j)
| (0.040423492370373096672 - 7.3846008747579306243e-829j)  +/-  (1.08e-51, 4.16e-162j)
| (0.019298771430326811294 - 2.8446585352920883852e-829j)  +/-  (1.14e-46, 4.37e-157j)
| (0.036169769475642299861 + 3.0890922951292016205e-828j)  +/-  (2.24e-49, 8.6e-160j)
| (0.040423492370373096672 - 2.5583526710963606964e-828j)  +/-  (1.97e-51, 7.54e-162j)
| (0.048270193075777385599 + 1.4385761595130487337e-828j)  +/-  (3.15e-56, 1.21e-166j)
| (0.039099420133306611207 + 6.962090690168550242e-829j)  +/-  (9.35e-52, 3.58e-162j)
| (0.041654019985643051398 + 7.8184148823195715857e-829j)  +/-  (3.64e-53, 1.39e-163j)
| (0.047426061873882382363 - 1.6673175980434976576e-828j)  +/-  (2.33e-57, 8.94e-168j)
| (0.042791115596446746934 - 2.2810221086326577728e-828j)  +/-  (3.2e-55, 1.23e-165j)
| (0.046922968281703611103 + 1.7528941417446790275e-828j)  +/-  (1.97e-57, 7.56e-168j)
| (0.047426061873882382363 - 1.1266082661682216038e-828j)  +/-  (5.45e-59, 2.09e-169j)
| (0.043827544030139749047 + 8.7226863930443093396e-829j)  +/-  (2.87e-57, 1.1e-167j)
| (0.047818908736988472212 + 1.1835457726999190687e-828j)  +/-  (4.28e-59, 1.64e-169j)
| (0.044758638749766937295 - 2.0462995312219730015e-828j)  +/-  (2.35e-58, 9e-169j)
| (0.045585826564547070281 + 1.9417062248661838761e-828j)  +/-  (1.02e-58, 3.92e-169j)
| (0.048270193075777385599 + 1.3050534911737938194e-828j)  +/-  (7.41e-60, 2.84e-170j)
| (0.044758638749766937295 - 9.1967508377744943472e-829j)  +/-  (1.1e-59, 4.2e-170j)
| (0.046922968281703611103 + 1.0719294970423140728e-828j)  +/-  (1.88e-60, 7.21e-171j)
| (0.048100969185457746928 - 1.5106398192519356534e-828j)  +/-  (1.27e-60, 4.87e-171j)
| (0.043827544030139749047 + 2.1589707444607541e-828j)  +/-  (5.01e-60, 1.92e-170j)
| (0.047818908736988472212 + 1.5867479302074107149e-828j)  +/-  (9.28e-61, 3.56e-171j)
| (0.04630875673802571324 - 1.0193527350413883896e-828j)  +/-  (1.22e-61, 4.68e-172j)
| (0.045585826564547070281 + 9.6867041243199525709e-829j)  +/-  (1.32e-61, 5.05e-172j)
| (0.048100969185457746928 - 1.2429385924555298963e-828j)  +/-  (6.89e-62, 2.67e-172j)
| (0.04630875673802571324 - 1.8441418192678648207e-828j)  +/-  (5.67e-62, 2.08e-172j)
