Starting with polynomial:
P : -t+1
Extension levels are: 1 32
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^33 + 43237907514182792004719465672053979135/40408374355447745272201549220252671*t^32 - 21745200821904890576901859452545433370112/40408374355447745272201549220252671*t^31 + 220643460964331313689669308970325370705408/1303495946949927266845211265169441*t^30 - 48731965523020220569054365809478284231923200/1303495946949927266845211265169441*t^29 + 8043181421748883632844353660326531161272798720/1303495946949927266845211265169441*t^28 - 1030913775690033445687238364222511815525519052800/1303495946949927266845211265169441*t^27 + 105272999349422443497395968966908310676857866301440/1303495946949927266845211265169441*t^26 - 8719022027281835055194672061794813205491874203228160/1303495946949927266845211265169441*t^25 + 593227472884546780198568385130963483249254076665600000/1303495946949927266845211265169441*t^24 - 33463716767172448858096389719907740448346572818964480000/1303495946949927266845211265169441*t^23 + 1575339449989741516409411109215261788577509329530265600000/1303495946949927266845211265169441*t^22 - 62168926343113655688604865549983403722276183504256655360000/1303495946949927266845211265169441*t^21 + 2062494633666054766536561231959500049970725800492271984640000/1303495946949927266845211265169441*t^20 - 57600799907701762134672189721767736830143019532795355136000000/1303495946949927266845211265169441*t^19 + 1354307906503195730330414532441316555539584932601958929203200000/1303495946949927266845211265169441*t^18 - 26777720378360973302049296902969813955182989201071520307200000000/1303495946949927266845211265169441*t^17 + 26130705650032233064907699524002967660689383516953372298035200000/76676232173525133343835956774673*t^16 - 362434715330894120217117897173847059430339951400323189886156800000/76676232173525133343835956774673*t^15 + 4183019148357853067894653434285351591023523730310244426055680000000/76676232173525133343835956774673*t^14 - 39925672818096997231853893455764850865961086543674862661271552000000/76676232173525133343835956774673*t^13 + 312712433286024229205690046199291442268651773791536988622684160000000/76676232173525133343835956774673*t^12 - 1990592257170272756713456814445500502525491181308104436072054784000000/76676232173525133343835956774673*t^11 + 10176307785768470330163044891564013014538985262333216458272669696000000/76676232173525133343835956774673*t^10 - 41168205620968592685719527257978086569421900204537558028229017600000000/76676232173525133343835956774673*t^9 + 129389817316002131146261430595583825273577612283904953836242993152000000/76676232173525133343835956774673*t^8 - 308663749957085592592717767077707446307023428689497156088674385920000000/76676232173525133343835956774673*t^7 + 542320182033719952495112570037389881954923510225801735731459129344000000/76676232173525133343835956774673*t^6 - 674322194377318257032995628343399464596272454590853956245416574976000000/76676232173525133343835956774673*t^5 + 561530675243716259360335673210724577186391967024598493331613286400000000/76676232173525133343835956774673*t^4 - 288932860776139523992176153335853588264899728232742321050081034240000000/76676232173525133343835956774673*t^3 + 80820782348408818933211597697867310266887537628106097126119833600000000/76676232173525133343835956774673*t^2 - 9719728865387463943264248698568915089366652334064101340196372480000000/76676232173525133343835956774673*t + 282935149612843197572031748027406557435526135291361834534174720000000/76676232173525133343835956774673
-------------------------------------------------
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: 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:
| (114.18254925466693033 - 3.7610794591926965491e-639j)  +/-  (3.4e-243, 3.4e-243j)
| (46.387427044596955152 + 1.9642627411532010883e-650j)  +/-  (1.99e-238, 1.99e-238j)
| (82.407185203867752064 - 1.1740161664004173247e-658j)  +/-  (3.67e-240, 3.67e-240j)
| (101.18082956150320192 + 6.2305775171661579797e-666j)  +/-  (7.44e-242, 7.44e-242j)
| (74.847442282790033431 - 9.3425624402806599914e-663j)  +/-  (1.31e-239, 1.31e-239j)
| (91.018146027275443241 + 5.26848218629199497e-668j)  +/-  (6.83e-241, 6.83e-241j)
| (37.867272209592182471 + 6.9056682111264862587e-678j)  +/-  (1.52e-238, 1.52e-238j)
| (51.158046973891468284 - 5.720361473322148576e-696j)  +/-  (1.68e-238, 1.68e-238j)
| (16.281334287862275396 + 3.4820344242296122411e-710j)  +/-  (7.3e-241, 7.3e-241j)
| (14.048225428690480241 + 1.8645681852572842501e-712j)  +/-  (1.69e-241, 1.69e-241j)
| (8.4302411670924865434 + 6.2332252580720631089e-720j)  +/-  (1.42e-243, 1.42e-243j)
| (34.056995741312519369 + 2.0492759878387845663e-713j)  +/-  (1.23e-238, 1.23e-238j)
| (5.529950121642758646 - 2.8463098762904226622e-730j)  +/-  (2.89e-245, 2.89e-245j)
| (27.223866212385329581 - 1.7279021561176186943e-723j)  +/-  (3.61e-239, 3.61e-239j)
| (3.2645574135111166605 + 7.2110153607739345921e-751j)  +/-  (3.79e-247, 3.79e-247j)
| (6.8987905154247437729 - 6.3975577960509434064e-747j)  +/-  (2.21e-244, 2.21e-244j)
| (11.999551879234724897 + 9.4471124735031184083e-742j)  +/-  (3.99e-242, 3.99e-242j)
| (10.128803193352949722 - 5.0979318068567739679e-744j)  +/-  (8.49e-243, 8.49e-243j)
| (41.968383687546913227 + 4.0703154107432317403e-742j)  +/-  (1.94e-238, 1.94e-238j)
| (61.937657741914951351 + 1.2104629072189284123e-770j)  +/-  (7.49e-239, 7.49e-239j)
| (2.3613176558692441651 + 8.582522252227205366e-794j)  +/-  (3.31e-248, 3.31e-248j)
| (1.6072535611352118338 + 1.140210312291694351e-794j)  +/-  (2.73e-249, 2.73e-249j)
| (21.331599521830862576 - 1.6814904960207950476e-783j)  +/-  (6.48e-240, 6.48e-240j)
| (4.3197221073723998584 - 8.7516906006669395707e-794j)  +/-  (3.83e-246, 3.83e-246j)
| (0.21845309462748234247 + 1.0012084797331896391e-800j)  +/-  (3.61e-253, 3.61e-253j)
| (18.706295587369783083 + 4.9309328859223041047e-786j)  +/-  (2.18e-240, 2.18e-240j)
| (24.167017508932887849 - 6.8822802063490044571e-790j)  +/-  (1.63e-239, 1.63e-239j)
| (0.041429830685644736514 + 5.8768803671597830724e-830j)  +/-  (7.81e-255, 7.81e-255j)
| (68.077234309988716739 - 1.9284314529615481786e-813j)  +/-  (3.79e-239, 3.79e-239j)
| (56.322921718336217208 + 6.42329464953319429e-844j)  +/-  (1.22e-238, 1.22e-238j)
| (30.515347733461728431 + 5.1899279061614892964e-866j)  +/-  (6.67e-239, 6.67e-239j)
| (1 + 2.1106054882361821567e-893j)  +/-  (1.68e-250, 1.68e-250j)
| (0.53758601639508235266 + 5.70552261675612985e-895j)  +/-  (9.04e-252, 9.04e-252j)
-------------------------------------------------
The weights are:
| (3.9897028451832550975e-49 - 3.4352025005237840621e-686j)  +/-  (2.29e-92, 2.35e-209j)
| (3.280001029606531448e-20 - 3.2087705159176953208e-670j)  +/-  (1.22e-80, 1.25e-197j)
| (1.305185243509633173e-35 + 3.7169290353295542229e-679j)  +/-  (2.49e-88, 2.55e-205j)
| (1.283272634368288195e-43 + 2.4435608994923374475e-683j)  +/-  (2.93e-91, 3e-208j)
| (2.2253569097091934406e-32 - 1.9321007367728261036e-677j)  +/-  (8.22e-88, 8.41e-205j)
| (2.7441914735968233108e-39 - 4.3707100402359644814e-681j)  +/-  (6.61e-90, 6.76e-207j)
| (1.4165403681973502015e-16 - 4.8706914588720722124e-669j)  +/-  (1.12e-81, 1.15e-198j)
| (3.0046887838524026419e-22 - 1.3036780507469164931e-671j)  +/-  (2.52e-84, 2.57e-201j)
| (1.9771348131919822078e-07 + 4.5437132785586401167e-665j)  +/-  (1.23e-74, 1.26e-191j)
| (1.6954825081555442413e-06 - 1.2021040094470033235e-664j)  +/-  (2.3e-73, 2.35e-190j)
| (0.00035217057773731737797 + 1.3032265259843384996e-663j)  +/-  (1.53e-69, 1.57e-186j)
| (5.9457807509492618637e-15 + 2.1547807079744077683e-668j)  +/-  (1.43e-81, 1.46e-198j)
| (0.0051120454247875967069 + 4.0626254165699514342e-663j)  +/-  (3.49e-67, 3.57e-184j)
| (4.7657274931270626767e-12 + 3.8152790661641771295e-667j)  +/-  (3.52e-80, 3.6e-197j)
| (0.037400348979895815879 + 8.6389135252133147705e-663j)  +/-  (2.46e-64, 2.52e-181j)
| (0.0014624916565300590519 - 2.4095653609689494803e-663j)  +/-  (4.98e-69, 5.09e-186j)
| (1.2040028629384253286e-05 + 2.9089924715250763661e-664j)  +/-  (2.02e-73, 2.07e-190j)
| (7.1195489264773247411e-05 - 6.439014337884644695e-664j)  +/-  (3.15e-72, 3.22e-189j)
| (2.5250527720776352174e-18 + 1.2671402524627082996e-669j)  +/-  (2.24e-84, 2.3e-201j)
| (7.3944652165753192063e-27 - 2.0135499266731306466e-674j)  +/-  (1.24e-89, 1.27e-206j)
| (0.078098273501836358372 - 1.0762108604963053851e-662j)  +/-  (9.05e-69, 9.25e-186j)
| (0.13635691348781588575 + 1.1892449203189241095e-662j)  +/-  (6e-68, 6.13e-185j)
| (1.4850670557606309969e-09 + 4.965669756750045235e-666j)  +/-  (5.18e-80, 5.29e-197j)
| (0.015061515921313244548 - 6.2277976607661275864e-663j)  +/-  (4.53e-72, 4.63e-189j)
| (0.19925827511544531364 - 5.4675663812351881977e-663j)  +/-  (6.87e-71, 7.03e-188j)
| (1.8966306452276444301e-08 - 1.5706668403975348476e-665j)  +/-  (4.77e-79, 4.88e-196j)
| (9.4048234333589194227e-11 - 1.4368937240718296588e-666j)  +/-  (3.94e-81, 4.03e-198j)
| (0.10202517014564483125 + 1.7116648547591324938e-663j)  +/-  (3.31e-73, 3.39e-190j)
| (1.74945926173118454e-29 + 7.0667548133610884163e-676j)  +/-  (8.32e-92, 8.51e-209j)
| (1.8620156411015884813e-24 + 4.9659428820132051829e-673j)  +/-  (2.29e-89, 2.35e-206j)
| (1.9080299268013015179e-13 - 9.3571588153317877312e-668j)  +/-  (1.14e-83, 1.16e-200j)
| (0.19664592028438618976 - 1.1407464577228433055e-662j)  +/-  (1.29e-77, 1.33e-194j)
| (0.22814172564033939257 + 9.1052708394744909277e-663j)  +/-  (1.25e-77, 1.27e-194j)
