Starting with polynomial:
P : 1804857108504066435/2147483648*t^33 - 916312070471295267/134217728*t^31 + 6763255758240512685/268435456*t^29 - 7502409393020896585/134217728*t^27 + 44632977914412452565/536870912*t^25 - 11745520503792750675/134217728*t^23 + 18009798105815551035/268435456*t^21 - 5097112671457231425/134217728*t^19 + 17090318957238952425/1073741824*t^17 - 658810481344812225/134217728*t^15 + 294362129962575675/268435456*t^13 - 23192167815233235/134217728*t^11 + 9888133564634325/536870912*t^9 - 166966608033225/134217728*t^7 + 12843585233325/268435456*t^5 - 115707975075/134217728*t^3 + 9917826435/2147483648*t
Extension levels are: 33 34
-------------------------------------------------
Trying to find an order 34 Kronrod extension for:
P1 : 1804857108504066435/2147483648*t^33 - 916312070471295267/134217728*t^31 + 6763255758240512685/268435456*t^29 - 7502409393020896585/134217728*t^27 + 44632977914412452565/536870912*t^25 - 11745520503792750675/134217728*t^23 + 18009798105815551035/268435456*t^21 - 5097112671457231425/134217728*t^19 + 17090318957238952425/1073741824*t^17 - 658810481344812225/134217728*t^15 + 294362129962575675/268435456*t^13 - 23192167815233235/134217728*t^11 + 9888133564634325/536870912*t^9 - 166966608033225/134217728*t^7 + 12843585233325/268435456*t^5 - 115707975075/134217728*t^3 + 9917826435/2147483648*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1804857108504066435/2147483648*t^67 - 695166168453409834531/49392123904*t^65 + 6809719596358751192738345/60493003751424*t^63 - 174411603249689835494190630905/304703259895922688*t^61 + 3101748286656242414110810256532985/1492741270230125248512*t^59 - 6495458904321781314039201853120014119/1132990624104665063620608*t^57 + 2000148501693753548026696314371690915430681521/160049274981038225819441635000320*t^55 - 48785605959280726767986582158628773455136805557/2208679994738327516308294563004416*t^53 + 14475303529473233761167891243354957060735469504193039/449043416710257259849364905162583310336*t^51 - 11128139271183081421464246041550066770195140990574927389/282728961246195727232656378412991516770304*t^49 + 1434882577401765779994802044365513692222099644229103517858685753/35347475902823280384030237417010663645584996433920*t^47 - 38649482822397162754327419847014331420568455659565966390574035589341/1085344247596188824191648439889312427237687315503513600*t^45 + 163755381002663917770732961127382237065832574368483515221346895443934137011/6132744834314299085941149174474263139568571944988885919989760*t^43 - 225232084333912646954102955542771822273692859279394516011742615241015934868673/13117941200598285744828118084200448855537175390331226982858096640*t^41 + 4203905057333227699274446961824871682870225907481091295011469007491279289335049/443205475460213805958020348237917234091562911980915041303598727168*t^39 - 7779006702475463477483193162893616724853748323355784653067811365025813827013373504725183/1726948927395802465832805051303595554313311987024700310445984888103580467200*t^37 + 12905267688379580797651217569199071428168486590245536654643973396653828061597631995559398447213/7022067920108990112495376915459141135082159802280225661326150372460135788314624000*t^35 - 6294174682731815362844866987441424079826633799504658782676453660944076233828765253190136119283867/9787358267047910418796056344766950914077514332418178526756388389134937261752922931200*t^33 + 390940453278493439914159483671954660779540172948834344367880832318123668829454511422219277373/2031415165431280701286022487498329371954652206811577112236693314473835048101478400*t^31 - 234640608308644221390228447840987738523661523106095448216208820350843683626091927099327825847/4783655066983338425609020696367033682344826164427262232041245546986772855206707200*t^29 + 3144482266430051902303734636066908024027041791482017786064770109033817420812417447835010013/296916521398965833313663353567608987180023692964450759230146275330213487564554240*t^27 - 105769066272707790418121771265228468192465301223125067509157509625624604318615217908748763/54984540999808487650678398808816479107411794993416807264841902838928423623065600*t^25 + 640881913716401748622868800062794003893135512514653036054074166862472718641448778822277/2199381639992339506027135952352659164296471799736672290593676113557136944922624*t^23 - 10446835102262248616047984085570578954468515115752959205726079939990900381729849360429/286875866085957326873104689437303369256061539096087690077436014811800471076864*t^21 + 221389183806410951619247280915772965098259324189392708460065444371304860642838930973/59765805434574443098563476966104868595012820645018268766132503085791764807680*t^19 - 72093565307884251860414065852695358918800539362633259521053172959203535159041762581/239063221738297772394253907864419474380051282580073075064530012343167059230720*t^17 + 1517279012582424281395063506320322177344804040010191435124435024298199963288211077151/78890863173638264890103789595258426545416923251424114771294904073245129546137600*t^15 - 4916013170758374798118201428363516187661995068847901988951401237242152676383988613/5259390878242550992673585973017228436361128216761607651419660271549675303075840*t^13 + 175532805575618505696797636203605615801590103860681741816985966185792303717460851/5259390878242550992673585973017228436361128216761607651419660271549675303075840*t^11 - 3583129090577805242478325130013201785280815575104368972926882607719097136406481/4303137991289359903096570341559550538840923086441315351161540222177007066152960*t^9 + 6454646918263861259404257124435201812850427825430495726698404844956478418499/478126443476595544788507815728838948760102565160146150129060024686334118461440*t^7 - 303577596394795399041579129390975781000460580484359363979024510574846288747/2390632217382977723942539078644194743800512825800730750645300123431670592307200*t^5 + 3251856886941652738567520916691639778839973951748767702690263170775805677/5737517321719146537462093788746067385121230781921753801548720296236009421537280*t^3 - 1448746936641679717732780770718397188276636593443213889170410877364113/1912505773906382179154031262915355795040410260640584600516240098745336473845760*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:
| (0.98645572623064248811 - 1.5029124576942425966e-857j)  +/-  (3.27e-231, 3.27e-231j)
| (-0.99742469424645521727 + 1.0096939850675683441e-863j)  +/-  (2.48e-231, 2.48e-231j)
| (-0.95381693154833893871 - 4.5865901703067770068e-867j)  +/-  (1.32e-231, 1.32e-231j)
| (-0.97769776639556024686 + 8.6302481986276435163e-866j)  +/-  (2.99e-231, 2.99e-231j)
| (0.90231676774343358304 + 6.5602676200237650125e-868j)  +/-  (1.51e-232, 1.51e-232j)
| (0.97769776639556024686 - 9.443935518250786465e-868j)  +/-  (3.06e-231, 3.06e-231j)
| (0.99742469424645521727 - 7.6833857920306268711e-874j)  +/-  (2.53e-231, 2.53e-231j)
| (-0.92151140011766531366 - 8.2575849161075956191e-886j)  +/-  (3.49e-232, 3.49e-232j)
| (-0.99957248040197061237 + 1.3604702564185425219e-883j)  +/-  (9.68e-232, 9.68e-232j)
| (-0.18643929882799157234 - 1.7624993541748368493e-904j)  +/-  (2.3e-250, 2.3e-250j)
| (0.88113695736615228092 + 8.7435941403837668101e-884j)  +/-  (5.6e-233, 5.6e-233j)
| (-0.96682290968999276893 + 4.5429926864038923803e-886j)  +/-  (2.14e-231, 2.14e-231j)
| (-0.98645572623064248811 - 2.9339364014438753572e-887j)  +/-  (3.29e-231, 3.29e-231j)
| (-0.85800965267650406464 + 1.1414651513466670493e-890j)  +/-  (1.94e-233, 1.94e-233j)
| (0.68173195996974278627 + 5.9642314574713434292e-893j)  +/-  (2.32e-237, 2.32e-237j)
| (0.85800965267650406464 - 8.6180414258179806485e-887j)  +/-  (2e-233, 2e-233j)
| (0.95381693154833893871 + 3.1105665133438153563e-886j)  +/-  (1.25e-231, 1.25e-231j)
| (0.92151140011766531366 - 1.2823031525559564982e-895j)  +/-  (3.38e-232, 3.38e-232j)
| (-0.77755454123725048431 - 2.4396224766873521344e-909j)  +/-  (3.48e-235, 3.48e-235j)
| (-0.90231676774343358304 + 6.5644475034822249272e-907j)  +/-  (1.45e-232, 1.45e-232j)
| (-0.99306135553260535754 - 1.2848401274444575549e-906j)  +/-  (3.35e-231, 3.35e-231j)
| (0.77755454123725048431 - 3.0303031443174314651e-908j)  +/-  (3.46e-235, 3.46e-235j)
| (-0.36633925774807334107 + 2.3623175287658477804e-919j)  +/-  (2.15e-245, 2.15e-245j)
| (-0.8061623562741665898 - 3.9486698174966411752e-909j)  +/-  (1.43e-234, 1.43e-234j)
| (-0.74723049644956215786 + 1.9083961897946869503e-910j)  +/-  (7.3e-236, 7.3e-236j)
| (0.96682290968999276893 - 4.3260951636616027053e-904j)  +/-  (2.01e-231, 2.01e-231j)
| (0.74723049644956215786 - 4.7624633903228358382e-929j)  +/-  (8.11e-236, 8.11e-236j)
| (0.32233036969708987756 - 3.5011588152887910221e-940j)  +/-  (1.34e-246, 1.34e-246j)
| (0.99957248040197061237 - 2.917508693149039192e-922j)  +/-  (9.65e-232, 9.65e-232j)
| (-0.64670058297517796966 + 3.726855563838920638e-950j)  +/-  (3.15e-238, 3.15e-238j)
| (-0.046865273381329082262 + 6.6484583072918934067e-966j)  +/-  (2.47e-254, 2.47e-254j)
| (0.57244293169105634518 - 1.186790192983778881e-952j)  +/-  (5.13e-240, 5.13e-240j)
| (0.7152643817222187341 + 4.7870939918292928443e-948j)  +/-  (1.33e-236, 1.33e-236j)
| (0.83299733908667720963 + 2.1590432315174441425e-942j)  +/-  (5.49e-234, 5.49e-234j)
| (-0.7152643817222187341 + 2.2859437685387626563e-954j)  +/-  (1.43e-236, 1.43e-236j)
| (-0.68173195996974278627 - 8.0912022826145671246e-957j)  +/-  (2.48e-237, 2.48e-237j)
| (0.18643929882799157234 + 3.7371187794608096329e-969j)  +/-  (2.18e-250, 2.18e-250j)
| (0.61024234583637902731 - 1.4012249299400869554e-955j)  +/-  (4.23e-239, 4.23e-239j)
| (0.99306135553260535754 - 2.0513172303393706441e-950j)  +/-  (3.38e-231, 3.38e-231j)
| (-0.93869437261116835036 - 3.0401759901140611354e-964j)  +/-  (7.01e-232, 7.01e-232j)
| (-0.57244293169105634518 + 8.0413979324638127908e-974j)  +/-  (5.13e-240, 5.13e-240j)
| (-0.83299733908667720963 + 4.0376934203948838317e-966j)  +/-  (5.79e-234, 5.79e-234j)
| (0.8061623562741665898 + 2.4310580719132607656e-966j)  +/-  (1.56e-234, 1.56e-234j)
| (0.64670058297517796966 + 2.0124993724987006143e-971j)  +/-  (3.22e-238, 3.22e-238j)
| (-0.14019106034177492404 - 5.5648998253964292205e-986j)  +/-  (1.02e-251, 1.02e-251j)
| (-0.61024234583637902731 + 8.3392081436271215211e-973j)  +/-  (4.37e-239, 4.37e-239j)
| (-0.88113695736615228092 - 1.892522147426203554e-972j)  +/-  (6.1e-233, 6.1e-233j)
| (0.49316417327086815102 + 8.1216930846433757129e-981j)  +/-  (5.04e-242, 5.04e-242j)
| (0.45185001727245069573 - 3.0360275916265708143e-981j)  +/-  (4.29e-243, 4.29e-243j)
| (0.093631065854733385671 + 4.7226861964714908166e-992j)  +/-  (5.49e-253, 5.49e-253j)
| (-0.32233036969708987756 + 9.1466666979040215839e-986j)  +/-  (1.38e-246, 1.38e-246j)
| (-0.49316417327086815102 - 8.5882037597176220304e-984j)  +/-  (5.02e-242, 5.02e-242j)
| (-0.2776090971524970294 - 4.9252395372847105635e-987j)  +/-  (8.1e-248, 8.1e-248j)
| (0.36633925774807334107 + 1.3400747098795707368e-986j)  +/-  (2.19e-245, 2.19e-245j)
| (0.53338990478634764355 - 3.3416017562407132794e-980j)  +/-  (5.45e-241, 5.45e-241j)
| (-0.093631065854733385671 + 7.4444376155192947797e-994j)  +/-  (5.49e-253, 5.49e-253j)
| (-0.40954274507141799937 - 7.6574517694380071946e-984j)  +/-  (3.15e-244, 3.15e-244j)
| (0.046865273381329082262 - 2.8367292517696762789e-993j)  +/-  (2.47e-254, 2.47e-254j)
| (0.93869437261116835036 + 2.3160809072179572519e-989j)  +/-  (7.58e-232, 7.58e-232j)
| (0.40954274507141799937 + 1.0686360135980229766e-1003j)  +/-  (3.27e-244, 3.27e-244j)
| (-1.0801982171770228891e-1034 - 4.5307271945941022902e-1035j)  +/-  (7.85e-1033, 7.85e-1033j)
| (-0.53338990478634764355 + 6.2029949681647204678e-1002j)  +/-  (5.22e-241, 5.22e-241j)
| (-0.45185001727245069573 + 6.7948527972826714493e-1004j)  +/-  (4.06e-243, 4.06e-243j)
| (0.14019106034177492404 + 1.1931355291150989582e-1012j)  +/-  (9.16e-252, 9.16e-252j)
| (0.2776090971524970294 + 6.0086975821068684601e-1009j)  +/-  (8.53e-248, 8.53e-248j)
| (0.23227765539724113496 - 1.8976149211340361819e-1010j)  +/-  (4.32e-249, 4.32e-249j)
| (-0.23227765539724113496 + 8.9077845102524187575e-1011j)  +/-  (4.18e-249, 4.18e-249j)
-------------------------------------------------
The weights are:
| (0.0076946559875423204837 + 2.1768125355565151656e-858j)  +/-  (6.34e-40, 6.68e-149j)
| (0.0032250895286294278165 + 2.5844281068455030474e-860j)  +/-  (2.83e-40, 2.98e-149j)
| (0.014071453862050045343 - 1.0996509036461175644e-859j)  +/-  (1.3e-40, 1.37e-149j)
| (0.0098156348212861590421 - 7.5776914994167440505e-860j)  +/-  (9.69e-41, 1.02e-149j)
| (0.02019127489606300628 + 3.6420128440286690307e-858j)  +/-  (1.42e-41, 1.5e-150j)
| (0.0098156348212861590421 - 1.6993467237003749242e-857j)  +/-  (3.88e-41, 4.09e-150j)
| (0.0032250895286294278165 - 4.6737310778324269552e-858j)  +/-  (1.19e-41, 1.25e-150j)
| (0.018194377952554501009 - 1.4459049191847754351e-859j)  +/-  (6.04e-42, 6.36e-151j)
| (0.0011516012900481880558 - 8.7867515284029834045e-861j)  +/-  (2.11e-41, 2.23e-150j)
| (0.046059141161662809716 + 5.9549404634126314025e-859j)  +/-  (9.22e-45, 9.71e-154j)
| (0.022162342861295120044 - 3.1906301491756778104e-858j)  +/-  (1.2e-43, 1.26e-152j)
| (0.011938233854576595159 + 9.2977730604029114354e-860j)  +/-  (1.46e-41, 1.53e-150j)
| (0.0076946559875423204837 + 5.8622652004034793703e-860j)  +/-  (1.72e-41, 1.81e-150j)
| (0.024081252653542093192 + 1.9783923216044965325e-859j)  +/-  (1.29e-44, 1.36e-153j)
| (0.034292877334557789045 + 1.706773389763438221e-858j)  +/-  (1.36e-46, 1.43e-155j)
| (0.024081252653542093192 + 2.8409166857166458638e-858j)  +/-  (1.82e-45, 1.92e-154j)
| (0.014071453862050045343 - 6.5368936156348763668e-858j)  +/-  (7.87e-46, 8.29e-155j)
| (0.018194377952554501009 - 4.2477853275190515487e-858j)  +/-  (1.91e-45, 2.01e-154j)
| (0.029477027569876141163 - 2.5336774462514638174e-859j)  +/-  (2.6e-48, 2.74e-157j)
| (0.02019127489606300628 + 1.6224240086785541708e-859j)  +/-  (2.44e-46, 2.57e-155j)
| (0.0054989503006964430296 - 4.2132044787058605705e-860j)  +/-  (5.03e-44, 5.3e-153j)
| (0.029477027569876141163 - 2.1394856113820054215e-858j)  +/-  (1.13e-49, 1.2e-158j)
| (0.043621052300575026201 + 4.8898197246077938001e-859j)  +/-  (1.07e-51, 1.13e-160j)
| (0.027729407633335975496 + 2.3464447199091160642e-859j)  +/-  (1.5e-48, 1.59e-157j)
| (0.031158316608357778794 + 2.7241463109426035705e-859j)  +/-  (1.43e-49, 1.51e-158j)
| (0.011938233854576595159 + 9.2500353499475487063e-858j)  +/-  (2.72e-48, 2.86e-157j)
| (0.031158316608357778794 + 1.9742042856327461522e-858j)  +/-  (1.08e-50, 1.14e-159j)
| (0.044381387035405725596 - 1.0132520715513260462e-858j)  +/-  (2.75e-54, 2.9e-163j)
| (0.0011516012900481880558 + 1.3311969548588283495e-858j)  +/-  (1.47e-49, 1.55e-158j)
| (0.035758063555085939725 - 3.3198163981271708314e-859j)  +/-  (1.1e-52, 1.16e-161j)
| (0.046832686633605091536 - 6.8719607164510854934e-859j)  +/-  (2.12e-54, 2.23e-163j)
| (0.038440190620604196793 - 1.4077916854664184965e-858j)  +/-  (1.64e-53, 1.73e-162j)
| (0.032761061077367768321 - 1.8316763258957497699e-858j)  +/-  (1.73e-51, 1.82e-160j)
| (0.025932719419237453371 - 2.5622647888616600405e-858j)  +/-  (1.41e-50, 1.48e-159j)
| (0.032761061077367768321 - 2.919026456411176278e-859j)  +/-  (1.22e-52, 1.29e-161j)
| (0.034292877334557789045 + 3.1177312380046980207e-859j)  +/-  (3.64e-53, 3.83e-162j)
| (0.046059141161662809716 + 8.7304665459332247128e-859j)  +/-  (3.53e-57, 3.71e-166j)
| (0.037143847993933005709 + 1.4966752723422411812e-858j)  +/-  (2.21e-54, 2.33e-163j)
| (0.0054989503006964430296 + 1.2622115485297997084e-857j)  +/-  (8.5e-51, 8.95e-160j)
| (0.01616316265339878284 + 1.2709807366582836665e-859j)  +/-  (1.63e-51, 1.71e-160j)
| (0.038440190620604196793 - 3.7388255871675101338e-859j)  +/-  (3.03e-56, 3.19e-165j)
| (0.025932719419237453371 - 2.1611095443682716818e-859j)  +/-  (1.01e-52, 1.06e-161j)
| (0.027729407633335975496 + 2.3330057526007136321e-858j)  +/-  (5.89e-53, 6.2e-162j)
| (0.035758063555085939725 - 1.5957856757555673365e-858j)  +/-  (9.29e-55, 9.78e-164j)
| (0.046421142855270857316 - 6.247337365741886913e-859j)  +/-  (3.75e-59, 3.95e-168j)
| (0.037143847993933005709 + 3.5264691066776143038e-859j)  +/-  (4.5e-56, 4.74e-165j)
| (0.022162342861295120044 - 1.799303584303769559e-859j)  +/-  (5e-53, 5.27e-162j)
| (0.040784972888532712117 - 1.2536120081401269756e-858j)  +/-  (1.69e-58, 1.78e-167j)
| (0.041827228004862558461 + 1.1861068688292785209e-858j)  +/-  (4.71e-59, 4.96e-168j)
| (0.046681009195083972306 + 7.9266340000054576076e-859j)  +/-  (3.62e-61, 3.82e-170j)
| (0.044381387035405725596 - 5.141611784837755643e-859j)  +/-  (1.01e-60, 1.06e-169j)
| (0.040784972888532712117 - 4.1794330290902974799e-859j)  +/-  (1.31e-60, 1.38e-169j)
| (0.045043927474426307496 + 5.4022799445724609996e-859j)  +/-  (5.16e-61, 5.44e-170j)
| (0.043621052300575026201 + 1.0667216399216505447e-858j)  +/-  (1.16e-61, 1.22e-170j)
| (0.039652622568141909457 + 1.3272576003091175935e-858j)  +/-  (5.25e-60, 5.53e-169j)
| (0.046681009195083972306 + 6.5523400893764529766e-859j)  +/-  (4.71e-62, 4.96e-171j)
| (0.042770988005077959738 - 4.6454901433497999681e-859j)  +/-  (7.2e-62, 7.58e-171j)
| (0.046832686633605091536 - 7.557484708082582995e-859j)  +/-  (4.62e-63, 4.87e-172j)
| (0.01616316265339878284 + 5.1229251101651006088e-858j)  +/-  (1.39e-60, 1.47e-169j)
| (0.042770988005077959738 - 1.1241017846466384258e-858j)  +/-  (2.83e-62, 2.98e-171j)
| (0.04688144479057056617 + 7.2067869702902038334e-859j)  +/-  (3.86e-63, 4.07e-172j)
| (0.039652622568141909457 + 3.9565609203196037363e-859j)  +/-  (8.29e-63, 8.73e-172j)
| (0.041827228004862558461 + 4.4086621470624921255e-859j)  +/-  (4.73e-63, 4.99e-172j)
| (0.046421142855270857316 - 8.3171853010293156109e-859j)  +/-  (1.62e-64, 1.7e-173j)
| (0.045043927474426307496 + 9.6337156779046990965e-859j)  +/-  (4.02e-65, 4.23e-174j)
| (0.045601577008031056261 - 9.1679594354276281289e-859j)  +/-  (3.54e-65, 3.74e-174j)
| (0.045601577008031056261 - 5.6733312872108403629e-859j)  +/-  (3.05e-65, 3e-174j)
