Starting with polynomial:
P : t
Extension levels are: 1 2 8 32
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 8 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P3 : t^11 - 10483/3705*t^9 + 3234/1105*t^7 - 139986/104975*t^5 + 68299/272935*t^3 - 3633/272935*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^43 - 2545555631407969982800797042028162727747469858220247744154781970983638747056845333469/235696089923868993790161758858300849142200056672964320600250264450781374059279048359*t^41 + 55969833676064724813058857147005319341079237235914033297564604489710622358268433861197444814/1031058437774213010059907368169608522093782702917299244573809788096554390356667679022654475*t^39 - 4979722060816084557879741382346088988635190189486414776923430537752151327720328745621394258322/29538919805005085007505767231946854676827143050244730989281252350204795078112952979719206275*t^37 + 219105140824583331644262067363353220793332697246202598263901426620587227599637151472233734303669/604940891897021946386590712489870517011733956987888668890074962514468063586011845269591964125*t^35 - 2451240863933983211551289143092499334193837821189164418050890591998559594254847516405686893077041/4291521856634167454954284701545787314800889130161139615773120028190873439321942855265458286675*t^33 + 6499146489777309383372769823495799212036209668840667556232714337245882749143174789243094847898952/9493366531342249218535235854934620423650451712174642180346598850240417002136419043466013785675*t^31 - 235874261001474628399518697277724097288498450926167114546939624130406830049624226559518321634401032/370241294722347719522874198342450196522367616774811045033517355159376263083320342695174537641325*t^29 + 6318048655932368878686307529619885516659400324834800457173369269012351400852652100598630972340263966/13550831386837926534537195659333677192718654773958084248226735198833171228849524542643388077672495*t^27 - 15384165529876826230518548243516751337675485764889405830550263314263882415842020352134155907329793186/56944376910501258229180523069849498174529959520194228678445682103358767984481620229056972691073875*t^25 + 12297686303990263818540786087959829218790674443247470394658331008174560738440113898328981452579436/99033698974784796920313953164955648999182538295989962919035968875406553016489774311403430767085*t^23 - 4179939499181262892758079324122827249136806347449269968591954444407715115048876246039346988581604/92539685927257924991113038203319212999236142342154555514509020096691369212129789110655664815145*t^21 + 267368579185683935291420824983776426808583418371019869838801965385767205198276180888246150400906898/20698043085730022556345616211475730640829150503861902250078517494959969580446362831083317030320765*t^19 - 1970158008683610136471062726325695872699988798463157667355571370545095475750827694590412155340982/685900063269805815707359601549878013438782765235189743179989858507445385706799548008608946423885*t^17 + 55877301473130124156158670346783058379341180355968984474991313605824593752519438893797444584709672/114383922315876440442962615905523774594055831731868407171486544051094568734045689329670962535983175*t^15 - 22248982503359009832593899357907305708211026343058724561754127980003782653158838321515243134219352/358402956589746180054616196503974493728041606093187675803991171360096315366676493232969015946080615*t^13 + 25004946509767669789190505161809275368810256755393924735156482900512497776896478721636794828322057/4383543853674587894514151941856303423289124259139756957910353557404254934100120186464774887340524445*t^11 - 802987936330933173503827209758725300889867738231357889742037012256526385461682051568381784098361/2220236497315700362156518516005140694912673326057798978681867386217739512076684250287353514367278615*t^9 + 2683024703606595583510122726396158785497315281419280566099258601934565551038672672627651918/181792884411340404663597684107519912790688064034864405034133086564950422670652931326238722211355*t^7 - 7276237995770625380244939422274373646697892349519347922671846076418506303136947411873368672546/20968900252426058975922674873381884340841914746101434798662080869834206502946462363825005413468742475*t^5 + 11972974087960658737695634254822190901481371973757364037175367452450269440329198174599085309903/3107591017409541940231740416235195259312771765372232637161720384909429403736665722318865802276067634795*t^3 - 13229526470654654444993786528808421155004757073394751660114606304263425241824510878574291247/1035863672469847313410580138745065086437590588457410879053906794969809801245555240772955267425355878265*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:
| (-0.99079325588510780584 - 2.7679574235145118718e-879j)  +/-  (1.78e-240, 1.78e-240j)
| (-0.99824211202414544095 - 4.1251076192789191229e-897j)  +/-  (5.57e-241, 5.57e-241j)
| (-0.94118636068750354611 - 5.8725810047341042932e-913j)  +/-  (4.27e-240, 4.27e-240j)
| (0.99824211202414544095 + 1.4378535943227597159e-928j)  +/-  (5.63e-241, 5.63e-241j)
| (0.89517743961337165704 - 2.93576848907980515e-928j)  +/-  (9.66e-241, 9.66e-241j)
| (0.95991152576398518645 + 2.2729763340650745409e-927j)  +/-  (4.02e-240, 4.02e-240j)
| (-0.95991152576398518645 - 9.7069214320365351029e-930j)  +/-  (3.95e-240, 3.95e-240j)
| (-0.89517743961337165704 + 1.031101186095798471e-942j)  +/-  (9.42e-241, 9.42e-241j)
| (-0.97768378973450271003 + 7.4089203112284609657e-961j)  +/-  (3e-240, 3e-240j)
| (0.94118636068750354611 + 7.4154749792120061221e-967j)  +/-  (4.57e-240, 4.57e-240j)
| (0.86018069830952675564 - 4.0848266847071426301e-976j)  +/-  (2.41e-241, 2.41e-241j)
| (0.99079325588510780584 + 1.106451533548757856e-973j)  +/-  (1.81e-240, 1.81e-240j)
| (-0.9225217132136291628 - 5.5241410378057878872e-985j)  +/-  (2.71e-240, 2.71e-240j)
| (-0.77459666924148337704 - 2.7953759007242336636e-995j)  +/-  (1.29e-242, 1.29e-242j)
| (0.97768378973450271003 - 2.0029259306891843957e-992j)  +/-  (3.09e-240, 3.09e-240j)
| (0.81967893274042111351 + 2.2510956029971679106e-994j)  +/-  (5.81e-242, 5.81e-242j)
| (0.9225217132136291628 - 6.014965525614431437e-996j)  +/-  (2.76e-240, 2.76e-240j)
| (-0.36226816275891688475 - 7.3850344157698079067e-1006j)  +/-  (2.68e-249, 2.68e-249j)
| (-0.81967893274042111351 + 1.0266387334618987313e-997j)  +/-  (5.66e-242, 5.66e-242j)
| (-0.86018069830952675564 - 9.3293245446076842706e-1002j)  +/-  (2.41e-241, 2.41e-241j)
| (0.61714901545025722939 + 6.4609488993480390036e-1007j)  +/-  (5.4e-245, 5.4e-245j)
| (0.77459666924148337704 - 3.1432623108072978192e-1004j)  +/-  (1.25e-242, 1.25e-242j)
| (0.2201334945764722168 + 5.5210434668071014414e-1015j)  +/-  (8.97e-252, 8.97e-252j)
| (-0.72555082087673657936 + 3.4873571989464333268e-1007j)  +/-  (2.54e-243, 2.54e-243j)
| (-0.67298995551131638023 - 1.5143608519063051759e-1007j)  +/-  (3.94e-244, 3.94e-244j)
| (0.14722522284027688619 - 4.8599323174592715726e-1017j)  +/-  (4.58e-253, 4.58e-253j)
| (0.72555082087673657936 + 6.0221185472517493227e-1006j)  +/-  (2.45e-243, 2.45e-243j)
| (0.49575008981926662358 + 2.5274847234050546831e-1011j)  +/-  (5.35e-247, 5.35e-247j)
| (-0.073735173888883940603 - 1.6772040043735578031e-1019j)  +/-  (1.99e-254, 1.99e-254j)
| (-0.61714901545025722939 + 1.0308117720445012344e-1010j)  +/-  (5.13e-245, 5.13e-245j)
| (-0.2919991541426287378 + 1.6218315584136894144e-1016j)  +/-  (1.59e-250, 1.59e-250j)
| (0.2919991541426287378 - 2.4271987492918056353e-1015j)  +/-  (1.52e-250, 1.52e-250j)
| (0.67298995551131638023 - 1.8230627205433346369e-1011j)  +/-  (3.86e-244, 3.86e-244j)
| (0.073735173888883940603 + 3.2564007403457031542e-1024j)  +/-  (1.99e-254, 1.99e-254j)
| (-0.55806685067819680295 - 3.9564457593260346385e-1015j)  +/-  (5.93e-246, 5.93e-246j)
| (-0.49575008981926662358 + 8.3167613609268778251e-1017j)  +/-  (5.76e-247, 5.76e-247j)
| (-1.512651223028183161e-1029 - 6.4256056224662008613e-1030j)  +/-  (7.07e-1028, 7.07e-1028j)
| (0.55806685067819680295 + 1.1464362214745805001e-1016j)  +/-  (5.97e-246, 5.97e-246j)
| (0.36226816275891688475 - 3.4920949638563932499e-1020j)  +/-  (2.99e-249, 2.99e-249j)
| (-0.2201334945764722168 - 3.554654290222227164e-1022j)  +/-  (9e-252, 9e-252j)
| (-0.43035965396280641142 + 1.2046753884570410144e-1018j)  +/-  (4.34e-248, 4.34e-248j)
| (-0.14722522284027688619 + 3.2671058192126903256e-1024j)  +/-  (4.71e-253, 4.71e-253j)
| (0.43035965396280641142 - 2.2818752845996174175e-1019j)  +/-  (4.4e-248, 4.4e-248j)
-------------------------------------------------
The weights are:
| (0.010354952257525082105 - 2.1314415000906539569e-879j)  +/-  (5.65e-71, 1.25e-186j)
| (0.0045054235995968554658 - 9.6122739604877505115e-880j)  +/-  (3.63e-71, 8.05e-187j)
| (0.017422303765155584499 + 6.6746154451095751694e-879j)  +/-  (5.72e-72, 1.27e-187j)
| (0.0045054235995968554658 + 3.59975730225212592e-882j)  +/-  (6.47e-73, 1.44e-188j)
| (0.031720560400367783546 + 1.5763902838006050909e-880j)  +/-  (3.26e-73, 7.22e-189j)
| (0.019243120211514815753 - 8.9536180494400757003e-881j)  +/-  (3.14e-73, 6.97e-189j)
| (0.019243120211514815753 - 5.6557276660338413156e-879j)  +/-  (5.84e-72, 1.3e-187j)
| (0.031720560400367783546 + 3.1093452901842697894e-879j)  +/-  (2.1e-73, 4.66e-189j)
| (0.015728129282725815745 + 5.5841685273163207292e-879j)  +/-  (7.04e-72, 1.56e-187j)
| (0.017422303765155584499 + 1.7138221647351273098e-880j)  +/-  (2.43e-74, 5.4e-190j)
| (0.037952592412385341116 - 1.3358214415542467252e-880j)  +/-  (2.78e-75, 6.17e-191j)
| (0.010354952257525082105 - 1.4464201689458487873e-881j)  +/-  (5.34e-75, 1.18e-190j)
| (0.022319262213550395791 - 5.4892574260582884695e-879j)  +/-  (1.88e-74, 4.17e-190j)
| (0.047153592395734648911 - 1.0554654958865551318e-879j)  +/-  (1.1e-77, 2.43e-193j)
| (0.015728129282725815745 + 3.7188885921240188539e-881j)  +/-  (6.42e-75, 1.42e-190j)
| (0.042909255276749185001 + 1.268632145216587183e-880j)  +/-  (2.44e-77, 5.41e-193j)
| (0.022319262213550395791 - 1.9586951372381694952e-880j)  +/-  (2.82e-75, 6.24e-191j)
| (0.069275342681017897568 + 3.8474545422572026596e-880j)  +/-  (8.02e-81, 1.78e-196j)
| (0.042909255276749185001 + 1.3422740857110380231e-879j)  +/-  (4.49e-78, 9.96e-194j)
| (0.037952592412385341116 - 1.8930574070880193262e-879j)  +/-  (1.76e-77, 3.9e-193j)
| (0.057458006953587082653 + 1.5462954403242865994e-880j)  +/-  (1.87e-81, 4.14e-197j)
| (0.047153592395734648911 - 1.292564516671470823e-880j)  +/-  (1.4e-79, 3.1e-195j)
| (0.072473369690097810926 + 2.0003846897995326525e-880j)  +/-  (3.7e-83, 8.21e-199j)
| (0.050862061548672017572 + 8.8359783923943913996e-880j)  +/-  (1.78e-80, 3.94e-196j)
| (0.054220527963362451246 - 7.6338556997979195629e-880j)  +/-  (2.03e-81, 4.51e-197j)
| (0.073265761260978328993 - 2.1504902575890675838e-880j)  +/-  (4.09e-84, 9.06e-200j)
| (0.050862061548672017572 + 1.3655050034616366232e-880j)  +/-  (1.01e-81, 2.24e-197j)
| (0.063898757553783398446 + 1.6699565010333397951e-880j)  +/-  (1.03e-83, 2.29e-199j)
| (0.073658767897356463228 + 2.6945514024433919574e-880j)  +/-  (3.67e-85, 8.13e-201j)
| (0.057458006953587082653 + 6.6543346140620568731e-880j)  +/-  (1.83e-83, 4.06e-199j)
| (0.071164462778544280858 - 3.4485429104754888891e-880j)  +/-  (3.88e-85, 8.6e-201j)
| (0.071164462778544280858 - 1.8785747612850379245e-880j)  +/-  (4.13e-85, 9.16e-201j)
| (0.054220527963362451246 - 1.4581614475703514657e-880j)  +/-  (1.17e-83, 2.6e-199j)
| (0.073658767897356463228 + 2.3212720974390498952e-880j)  +/-  (2.05e-85, 4.55e-201j)
| (0.060708800251963958253 - 5.784818462820215722e-880j)  +/-  (2.98e-85, 6.6e-201j)
| (0.063898757553783398446 + 5.014638913117935656e-880j)  +/-  (8e-86, 1.77e-201j)
| (0.073772421377020722576 - 2.503803008620437974e-880j)  +/-  (1.95e-86, 4.31e-202j)
| (0.060708800251963958253 - 1.6161845008359693153e-880j)  +/-  (2.25e-86, 4.97e-202j)
| (0.069275342681017897568 + 1.7872224358406612905e-880j)  +/-  (4.9e-87, 1.09e-202j)
| (0.072473369690097810926 + 3.1431760858757848577e-880j)  +/-  (9.38e-88, 2.1e-203j)
| (0.066818738916820441035 - 4.3655589791035629801e-880j)  +/-  (1.3e-87, 2.89e-203j)
| (0.073265761260978328993 - 2.9011265903733115754e-880j)  +/-  (7.84e-88, 1.76e-203j)
| (0.066818738916820441035 - 1.7215641794133751043e-880j)  +/-  (5.73e-88, 1.2e-203j)
