Starting with polynomial:
P : 7113260368810144185/4294967296*t^34 - 59560284580634192355/4294967296*t^32 + 28405674184610153277/536870912*t^30 - 65378138996324955955/536870912*t^28 + 202565053611564207795/1073741824*t^26 - 223164889572062262825/1073741824*t^24 + 90048990529077755175/536870912*t^22 - 54029394317446653105/536870912*t^20 + 96845140757687397075/2147483648*t^18 - 32281713585895799025/2147483648*t^16 + 1976431444034436675/536870912*t^14 - 347882517228498525/536870912*t^12 + 85037948655855195/1073741824*t^10 - 6845630929362225/1073741824*t^8 + 166966608033225/536870912*t^6 - 4281195077775/536870912*t^4 + 347123925225/4294967296*t^2 - 583401555/4294967296
Extension levels are: 34 36
-------------------------------------------------
Trying to find an order 36 Kronrod extension for:
P1 : 7113260368810144185/4294967296*t^34 - 59560284580634192355/4294967296*t^32 + 28405674184610153277/536870912*t^30 - 65378138996324955955/536870912*t^28 + 202565053611564207795/1073741824*t^26 - 223164889572062262825/1073741824*t^24 + 90048990529077755175/536870912*t^22 - 54029394317446653105/536870912*t^20 + 96845140757687397075/2147483648*t^18 - 32281713585895799025/2147483648*t^16 + 1976431444034436675/536870912*t^14 - 347882517228498525/536870912*t^12 + 85037948655855195/1073741824*t^10 - 6845630929362225/1073741824*t^8 + 166966608033225/536870912*t^6 - 4281195077775/536870912*t^4 + 347123925225/4294967296*t^2 - 583401555/4294967296
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 7113260368810144185/4294967296*t^70 - 8710134237575418493755/304942678016*t^68 + 372364875759478920694336863/1580517900156928*t^66 - 138836583081902647093087598845/112216770911141888*t^64 + 3715313293871594261198081855589555/799726844994616557568*t^62 - 59574543452636153607578293309595719143/4485667873574804271398912*t^60 + 698680911777189792077705171040366925742327/23249216588738210538660560896*t^58 - 37844888063015916024844963093673644229317035963/685038166787171373521633426800640*t^56 + 22319035023048495031133746076598205603551086538808455/265581350820651610326404428622857240576*t^54 - 175868163849035470672233847471072374410435007759571349491/1640496004019164996986200155603389175037952*t^52 + 397899344405320052609176422926256736299755225254365001991655163/3435771203234086008805579976037231379797287895040*t^50 - 754909657996760976352533435387643851504468840934566495761079209581/7074252907458983092130689170660659411002615775887360*t^48 + 23717092840345904835944102773310446254089553077305100273898247290116571737/281318755756538904614573769726596132062145762928389573836800*t^46 - 25438405328611970202511323835997387591326644739532215437760993147201102343/443858481304761382836327503346407230586941092620347994275840*t^44 + 5142938812452858009151632275670269477191293447715696944761453952676411242388757/153070037295531879905245938485103266706939366646658873396895416320*t^42 - 26496044781202095615774050055373460983931683357224972480520203873432984049072925423719/1558304258131008540615171911167743764670989577150813961902983298102067200*t^40 + 1510654413774237716324155886284507224760297373587415133558940401452079071418537555669201357851/203392616464492556137468441368406786284208400112699459941235611856197534718361600*t^38 - 20803263184514034821884796051655485186863014561332466615815065363810849692540746022609031777401347/7437051021024170315166533558635794140482080150120855752751280147521862856976891904000*t^36 + 1823628040338114928570698333356785913988711806930643555059858446868983757629299226202316933255886040471/2012113490070743941611125087276166557772192038023587838131815997240423552798526244546150400*t^34 - 903155482582969045458956731836901326350796299353641048062420167630129741041919506587141258314418339/3586655062514695083085784469297979603872000067778231440520171118075621306236232164966400*t^32 + 8638066195518629652003780462549342790599395689642627737159824138969508015003868573647545465601607/144623188004624801737330018923305629188387099507186751633877867664339568799848071168000*t^30 - 323859471840564688931460941180937081294326985879867403435411950310111343315922939280702542769553/26929835007757721702813175937443117159216908184096843407687602944394264535144123596800*t^28 + 2035439657838268133012187396929201871138455998705974151699482292952014713842440055165843253661/997401296583619322326413923609004339230255858670253459543985294236824612412745318400*t^26 - 57703563300303724570005904344948573015672220156652393307335371120700135240150301416115681533/199480259316723864465282784721800867846051171734050691908797058847364922482549063680*t^24 + 476991393739565245826474107916955540815963142979294359688840010437553407771499352375057697/14080959481180508079902314215656531847956553298874166487679792389225759234062286848*t^22 - 586260947690190672584524531020259803700026910700459234184697245489520580594669942491975133/181345690287930785877529804292546243496410156121864265371633689861240838620499148800*t^20 + 98615862708955459854414758166831196966570551466832448406070057607998987642852454976563473/398960518633447728930565569443601735692102343468101383817594117694729844965098127360*t^18 - 975518262833330078300195927715165747572425604480069274429734508282036682308996235002488521/65828485574518875273543318958194286389196886672236728329903029419630424419241191014400*t^16 + 1486758384075251324132326574794708302745042431217450009058674607702941712873989826248051/2194282852483962509118110631939809546306562889074557610996767647321014147308039700480*t^14 - 49975354096653080881979968712424494413048761910909788638512855852486074910249239942991/2194282852483962509118110631939809546306562889074557610996767647321014147308039700480*t^12 + 4804316237022452849023549033276021381168329378029328050308567104077245548519028066207/8976611669252573900937725312481039053072302728032281135895867648131421511714707865600*t^10 - 19188339001776995365887173769869088058339300174555804151092314568750073978839339/2346826580196751346650385702609421974659425549812361081279965398204293205677047808*t^8 + 578454888249783016230301874596198092037743344169182936530364849807320730576550073/7979210372668954578611311388872034713842046869362027676351882353894596899301962547200*t^6 - 24829888964972504590700994317639320725886626426304074360659769370301099793322123/81387945801223336701835376166494754081188878067492682298789200009724888372880017981440*t^4 + 10439237063496991870543532760642102545962481966732095655994259606928685067067/27129315267074445567278458722164918027062959355830894099596400003241629457626672660480*t^2 - 83535771471890932905628909194548804937961095723352627136186083122037123/135646576335372227836392293610824590135314796779154470497982000016208147288133363302400
-------------------------------------------------
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:
| (-0.99959679794628186607 + 1.711060632165831862e-851j)  +/-  (4.93e-231, 4.93e-231j)
| (-0.97896698265187056398 + 4.3354651617623127412e-863j)  +/-  (1.45e-230, 1.45e-230j)
| (-0.94216239740510709163 - 1.073791855661129268e-869j)  +/-  (4.01e-231, 4.01e-231j)
| (-0.99757175379084191924 - 5.1760698186520309867e-871j)  +/-  (1.28e-230, 1.28e-230j)
| (0.94216239740510709163 - 5.2981174492009312446e-883j)  +/-  (3.95e-231, 3.95e-231j)
| (0.92593846535759941802 + 1.2865335237040949017e-882j)  +/-  (1.98e-231, 1.98e-231j)
| (0.99345756413222692466 + 3.8080249320474831969e-881j)  +/-  (1.72e-230, 1.72e-230j)
| (-0.88779781713063777744 + 6.0763444321816614626e-882j)  +/-  (3.3e-232, 3.3e-232j)
| (-0.96870826253334428176 - 8.4408968393529540422e-880j)  +/-  (1.08e-230, 1.08e-230j)
| (0.99757175379084191924 - 1.2646250939463091841e-885j)  +/-  (1.3e-230, 1.3e-230j)
| (0.86593463833456446926 - 2.4208653383483316325e-889j)  +/-  (1.28e-232, 1.28e-232j)
| (0.95643633303530924537 - 6.5829329157626214148e-887j)  +/-  (6.96e-231, 6.96e-231j)
| (-0.92593846535759941802 + 2.1921166235649449197e-885j)  +/-  (1.96e-231, 1.96e-231j)
| (-0.86593463833456446926 + 1.2818885386223374047e-890j)  +/-  (1.18e-232, 1.18e-232j)
| (0.98722781640630948505 - 9.664800523236468776e-887j)  +/-  (1.74e-230, 1.74e-230j)
| (0.84227759091886563447 + 1.8027705814637210823e-893j)  +/-  (3.62e-233, 3.62e-233j)
| (0.81688422790093366459 - 2.7079649059977855764e-894j)  +/-  (1.1e-233, 1.1e-233j)
| (0.97896698265187056398 - 8.0496552362844936904e-889j)  +/-  (1.49e-230, 1.49e-230j)
| (-0.7897972033521018438 + 6.6221662764712558931e-893j)  +/-  (2.64e-234, 2.64e-234j)
| (-0.9078096777183244688 + 1.50737443349461171e-888j)  +/-  (9.16e-232, 9.16e-232j)
| (0.88779781713063777744 - 3.6249646205405420001e-893j)  +/-  (3.41e-232, 3.41e-232j)
| (0.7897972033521018438 + 8.4200959509796771269e-895j)  +/-  (2.67e-234, 2.67e-234j)
| (-0.95643633303530924537 + 2.5366449337503258744e-889j)  +/-  (7e-231, 7e-231j)
| (-0.84227759091886563447 - 8.4993635296349606879e-905j)  +/-  (3.63e-233, 3.63e-233j)
| (-0.81688422790093366459 + 1.6016805623819353583e-906j)  +/-  (1.06e-233, 1.06e-233j)
| (0.96870826253334428176 - 2.84724469101887524e-902j)  +/-  (1.11e-230, 1.11e-230j)
| (0.69893911321626290793 - 2.6622367975966117356e-910j)  +/-  (1.93e-236, 1.93e-236j)
| (0.9078096777183244688 + 7.3480830940590431815e-905j)  +/-  (8.6e-232, 8.6e-232j)
| (0.99959679794628186607 - 1.2828703274037632755e-903j)  +/-  (4.72e-231, 4.72e-231j)
| (-0.63102172708052854532 - 1.1443753962267366923e-920j)  +/-  (4.04e-238, 4.04e-238j)
| (-0.31331108133946324746 + 1.36175977171664343e-930j)  +/-  (1.55e-246, 1.55e-246j)
| (0.22566669161644948387 + 1.7196561753161643037e-932j)  +/-  (3.76e-249, 3.76e-249j)
| (0.66567398140481577498 + 9.3760222630621429793e-921j)  +/-  (2.92e-237, 2.92e-237j)
| (-0.39835927775864594063 - 2.1711112861394450987e-927j)  +/-  (3.5e-244, 3.5e-244j)
| (-0.69893911321626290793 - 6.5367513290826331173e-920j)  +/-  (1.99e-236, 1.99e-236j)
| (-0.76106487662987301419 + 1.370594365119425922e-913j)  +/-  (5.62e-235, 5.62e-235j)
| (0.76106487662987301419 - 1.3319306355926035931e-920j)  +/-  (5.71e-235, 5.71e-235j)
| (0.63102172708052854532 + 1.589406294898058686e-923j)  +/-  (4.29e-238, 4.29e-238j)
| (0.73075544614591828501 + 1.8064445179043357151e-920j)  +/-  (1.1e-235, 1.1e-235j)
| (-0.99345756413222692466 - 3.3243275826483187799e-919j)  +/-  (1.8e-230, 1.8e-230j)
| (-0.55787550066974664274 - 2.9701700620456874224e-958j)  +/-  (5.71e-240, 5.71e-240j)
| (-0.73075544614591828501 + 2.4584785906387567738e-954j)  +/-  (1.11e-235, 1.11e-235j)
| (0.55787550066974664274 + 4.5807083087031369235e-965j)  +/-  (5.75e-240, 5.75e-240j)
| (0.59506157459860751776 + 1.0244266291102433659e-963j)  +/-  (5.25e-239, 5.25e-239j)
| (0.1811062671359553624 - 1.3509022630070984879e-974j)  +/-  (2.29e-250, 2.29e-250j)
| (-0.59506157459860751776 + 5.4014543742099556628e-963j)  +/-  (5.6e-239, 5.6e-239j)
| (-0.66567398140481577498 + 5.914930049878974523e-965j)  +/-  (2.86e-237, 2.86e-237j)
| (-0.98722781640630948505 - 9.85253248753838087e-978j)  +/-  (1.82e-230, 1.82e-230j)
| (0.48010654519032703419 - 5.905892188460469007e-993j)  +/-  (5.35e-242, 5.35e-242j)
| (0.51953331744148256813 - 9.7545790569621511936e-996j)  +/-  (5.77e-241, 5.77e-241j)
| (-0.26976217380589207083 - 1.6964713655816437276e-1002j)  +/-  (7.73e-248, 7.73e-248j)
| (-0.51953331744148256813 - 1.712635146533920915e-994j)  +/-  (5.7e-241, 5.7e-241j)
| (-0.090907587372961491268 + 2.0357307523107004897e-1007j)  +/-  (5.44e-253, 5.44e-253j)
| (0.43968429970505448688 + 8.1130751444736365124e-998j)  +/-  (4.82e-243, 4.82e-243j)
| (0.35620929666571876277 + 1.8830250321919827e-1000j)  +/-  (2.29e-245, 2.29e-245j)
| (0.0012658808056708557369 + 4.4821532438325623779e-1011j)  +/-  (2.72e-256, 2.72e-256j)
| (-0.48010654519032703419 + 2.5662620085163722097e-997j)  +/-  (5.34e-242, 5.34e-242j)
| (-0.13615235725918297589 + 1.9970867642247184307e-1006j)  +/-  (1.14e-251, 1.14e-251j)
| (0.045509821953102542749 - 2.5062125160271910548e-1009j)  +/-  (2.13e-254, 2.13e-254j)
| (0.39835927775864594063 + 4.1946445330860903041e-999j)  +/-  (3.52e-244, 3.52e-244j)
| (0.090907587372961491268 + 8.7940170268439640385e-1008j)  +/-  (5.69e-253, 5.69e-253j)
| (-0.1811062671359553624 + 2.6946324065089549378e-1005j)  +/-  (2.29e-250, 2.29e-250j)
| (-0.43968429970505448688 - 1.4654836193905673142e-998j)  +/-  (4.64e-243, 4.64e-243j)
| (-0.0012658808056708557369 + 2.3272546136442505355e-1011j)  +/-  (2.72e-256, 2.72e-256j)
| (0.31331108133946324746 + 2.6461909765582777575e-1002j)  +/-  (1.34e-246, 1.34e-246j)
| (0.26976217380589207083 + 1.0778076312219515258e-1002j)  +/-  (7.44e-248, 7.44e-248j)
| (-0.045509821953102542749 + 2.373442905372319828e-1009j)  +/-  (2.13e-254, 2.13e-254j)
| (-0.35620929666571876277 + 1.815759459637703667e-1000j)  +/-  (2.33e-245, 2.33e-245j)
| (-0.22566669161644948387 + 3.4876440657908965343e-1004j)  +/-  (3.96e-249, 3.96e-249j)
| (0.13615235725918297589 - 2.9885750168560974263e-1006j)  +/-  (1.12e-251, 1.12e-251j)
-------------------------------------------------
The weights are:
| (0.0010859666222986369221 + 1.8196684587007683797e-851j)  +/-  (1.16e-27, 9.5e-136j)
| (0.0092589036702709456243 + 7.8412705166161712439e-852j)  +/-  (3.39e-28, 2.78e-136j)
| (0.015258703407086971473 - 4.8146933905625264482e-852j)  +/-  (1e-28, 8.19e-137j)
| (0.0030406760295596322929 - 2.6995613653131507507e-851j)  +/-  (6.4e-28, 5.24e-136j)
| (0.015258703407086971473 + 1.424115973485043035e-853j)  +/-  (1.3e-29, 1.07e-137j)
| (0.017181312987650156934 - 1.6482117367972424928e-853j)  +/-  (1.09e-29, 8.94e-138j)
| (0.0051854525893503819512 - 4.479282546482836664e-854j)  +/-  (8.09e-31, 6.63e-139j)
| (0.020945333531142123182 + 3.6093219160052513204e-852j)  +/-  (2.76e-30, 2.26e-138j)
| (0.011262798531905935352 - 6.4597225941995054649e-852j)  +/-  (4.99e-29, 4.08e-137j)
| (0.0030406760295596322929 + 2.7372406602032347762e-854j)  +/-  (4.17e-31, 3.41e-139j)
| (0.022770836884944770476 + 2.4092125127331345086e-853j)  +/-  (6.51e-32, 5.33e-140j)
| (0.013279392260561917581 - 1.2140489089340128625e-853j)  +/-  (4.75e-31, 3.89e-139j)
| (0.017181312987650156934 + 4.3086636760021358263e-852j)  +/-  (2.41e-30, 1.97e-138j)
| (0.022770836884944770476 - 3.3625535396427474126e-852j)  +/-  (2.18e-31, 1.78e-139j)
| (0.007257443925412541586 + 6.2720053962880739098e-854j)  +/-  (2.45e-31, 2.01e-139j)
| (0.024533333525640022211 - 2.7047776125807024153e-853j)  +/-  (6.67e-33, 5.46e-141j)
| (0.026246779361361093244 + 3.0269420436966133823e-853j)  +/-  (1.26e-33, 1.03e-141j)
| (0.0092589036702709456243 - 8.1758275380283354482e-854j)  +/-  (4.98e-32, 4.08e-140j)
| (0.027919531754485715991 + 2.8818949740035643876e-852j)  +/-  (1.47e-35, 1.21e-143j)
| (0.019073427970519666214 - 3.9191478485386020437e-852j)  +/-  (5.35e-33, 4.38e-141j)
| (0.020945333531142123182 - 2.1379657885073185107e-853j)  +/-  (5.32e-33, 4.35e-141j)
| (0.027919531754485715991 - 3.3789115017156327545e-853j)  +/-  (9.28e-35, 7.59e-143j)
| (0.013279392260561917581 + 5.5020720777931035178e-852j)  +/-  (7.16e-33, 5.86e-141j)
| (0.024533333525640022211 + 3.1667211565093536968e-852j)  +/-  (7.76e-35, 6.35e-143j)
| (0.026246779361361093244 - 3.0093073439616138673e-852j)  +/-  (1.57e-35, 1.28e-143j)
| (0.011262798531905935352 + 1.0137217757245071882e-853j)  +/-  (9.92e-34, 8.12e-142j)
| (0.032549850607370792922 + 4.6911882485443089863e-853j)  +/-  (1.72e-39, 1.41e-147j)
| (0.019073427970519666214 + 1.8859498452702000652e-853j)  +/-  (1.34e-34, 1.1e-142j)
| (0.0010859666222986369221 - 9.2945212463846587882e-855j)  +/-  (1.74e-34, 1.42e-142j)
| (0.035320493425834188738 - 2.5965934434173485005e-852j)  +/-  (6.45e-42, 5.28e-150j)
| (0.043241539303316797228 - 3.4382425315342216503e-852j)  +/-  (5.41e-44, 4.43e-152j)
| (0.044339354308118619781 + 2.7441619575704353074e-852j)  +/-  (1.29e-44, 1.05e-152j)
| (0.033970462192999255877 - 5.2413754160234454564e-853j)  +/-  (3.09e-41, 2.53e-149j)
| (0.041749368380198516346 - 2.9824181759821905262e-852j)  +/-  (9.16e-44, 7.5e-152j)
| (0.032549850607370792922 - 2.650240493048628008e-852j)  +/-  (7.3e-42, 5.97e-150j)
| (0.029533329070480686477 - 2.7813157266279880396e-852j)  +/-  (1.41e-40, 1.15e-148j)
| (0.029533329070480686477 + 3.7680867008120110651e-853j)  +/-  (5.16e-40, 4.22e-148j)
| (0.035320493425834188738 + 5.869181526692478639e-853j)  +/-  (3.15e-43, 2.58e-151j)
| (0.031073505956687466662 - 4.2031407243447747624e-853j)  +/-  (8.49e-41, 6.95e-149j)
| (0.0051854525893503819512 + 1.4541641332799193633e-851j)  +/-  (2.22e-41, 1.81e-149j)
| (0.037775041364772005662 - 2.6226858544593125386e-852j)  +/-  (3.33e-46, 2.73e-154j)
| (0.031073505956687466662 + 2.7052809904063066121e-852j)  +/-  (5.14e-43, 4.21e-151j)
| (0.037775041364772005662 + 7.4383101324493825857e-853j)  +/-  (3.56e-46, 2.91e-154j)
| (0.036585796857294656428 - 6.5943684587027567971e-853j)  +/-  (3.93e-45, 3.22e-153j)
| (0.044770510513859004934 - 3.581031425777832516e-852j)  +/-  (4.11e-50, 3.36e-158j)
| (0.036585796857294656428 + 2.599468295318171723e-852j)  +/-  (1.05e-46, 8.58e-155j)
| (0.033970462192999255877 + 2.6138702992253694479e-852j)  +/-  (1.45e-45, 1.19e-153j)
| (0.007257443925412541586 - 1.0074697469916105482e-851j)  +/-  (2.1e-43, 1.72e-151j)
| (0.039940585668796367335 + 9.6128904585728912066e-853j)  +/-  (2.03e-49, 1.66e-157j)
| (0.038897784489983945798 - 8.4295956724835384811e-853j)  +/-  (1.81e-48, 1.48e-156j)
| (0.043838243232848513264 + 3.8083590083771092973e-852j)  +/-  (2.33e-52, 1.91e-160j)
| (0.038897784489983945798 + 2.6674915228185298476e-852j)  +/-  (8.16e-50, 6.68e-158j)
| (0.045345681902140077946 + 9.3888129999905253545e-852j)  +/-  (4.86e-54, 3.98e-162j)
| (0.04088801644390690359 - 1.1050952654561215181e-852j)  +/-  (3.81e-51, 3.12e-159j)
| (0.042538329360966609913 - 1.5064955505902786813e-852j)  +/-  (1.11e-52, 9.11e-161j)
| (0.022799033745740814145 - 3.0777928541130568536e-850j)  +/-  (5.34e-55, 4.37e-163j)
| (0.039940585668796367335 - 2.7381122308447830942e-852j)  +/-  (5.98e-53, 4.89e-161j)
| (0.045120254520429747109 - 6.5590580801717637742e-852j)  +/-  (2.21e-55, 1.81e-163j)
| (0.04542292560206451881 + 1.6374142156979505605e-851j)  +/-  (8.31e-56, 6.8e-164j)
| (0.041749368380198516346 + 1.2826881612755755456e-852j)  +/-  (1.95e-54, 1.6e-162j)
| (0.045345681902140077946 - 7.8234559970928024684e-852j)  +/-  (3.54e-56, 2.9e-164j)
| (0.044770510513859004934 + 5.1657711621731584123e-852j)  +/-  (1.23e-56, 1.01e-164j)
| (0.04088801644390690359 + 2.8406987371619998796e-852j)  +/-  (8.81e-56, 7.21e-164j)
| (0.022799033745740814145 + 3.0855981195435054914e-850j)  +/-  (3.39e-55, 2.78e-163j)
| (0.043241539303316797228 + 1.7972447091303986152e-852j)  +/-  (6.27e-57, 5.13e-165j)
| (0.043838243232848513264 - 2.1896660655683653145e-852j)  +/-  (3.84e-57, 3.14e-165j)
| (0.04542292560206451881 - 1.7936230966384439077e-851j)  +/-  (3.94e-57, 3.23e-165j)
| (0.042538329360966609913 + 3.1746278019559592253e-852j)  +/-  (2.77e-58, 2.27e-166j)
| (0.044339354308118619781 - 4.3444768830651794552e-852j)  +/-  (2.89e-58, 2.36e-166j)
| (0.045120254520429747109 + 4.9864727695469659956e-852j)  +/-  (4.48e-58, 3.66e-166j)
