Starting with polynomial:
P : 88179/256*t^11 - 230945/256*t^9 + 109395/128*t^7 - 45045/128*t^5 + 15015/256*t^3 - 693/256*t
Extension levels are: 11 34
-------------------------------------------------
Trying to find an order 34 Kronrod extension for:
P1 : 88179/256*t^11 - 230945/256*t^9 + 109395/128*t^7 - 45045/128*t^5 + 15015/256*t^3 - 693/256*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 88179/256*t^45 - 69847730865327597127661972574300317087629232729660245205/18471744755756406266024194825671289775679587740996096*t^43 + 67595707843823063998604933197094710450136462496391493677321/3491159758837960784278572822051873767603442083048262144*t^41 - 56282818979412213773921991005040109306021466527592102921609273/916429436694964705873125365788616863995903546800168812800*t^39 + 150717223780267521268765999415675793202412460387019945088955037/1114989147978873725478969195042817184528349315273538722240*t^37 - 1076274481657209623328217955087026545678187055516386117334324756515607/4911348798583262140938782669092402847097854197889494305271641600*t^35 + 2624958526732564551082782942971699013251413983209493952340193966099013/9682373345778431077850742976210737041421483990125003058964093440*t^33 - 642953779813514926754436230419976038873993669078944326459160329312401/2457268993057404856878787043204997658239543285372633352085584320*t^31 + 63799735322424422013731436584252776880825281506303929823703620683991367/319444969097462631394242315616649695571140627098442335771125961600*t^29 - 139739001986488964119107739649315563852091679764643384875020265414298487/1150001888750865473019272336219938904056106257554392408776053461760*t^27 + 413540777596855273168760126340147006840131353326462940540040261834264479/6995025733570079159248280449656893333788566552360762942270296697600*t^25 - 189732610605399425310060422698357994126218039974528699781811874298806403/8254130365612693407912970930595134133870508531785700271878950103168*t^23 + 3828183017301901933548377479193025081897272746142039297794821448187293/538312849931262613559541582430117443513294034681676104687757615424*t^21 - 890186214993688156517587789018941552514939384550356057092724870164733/512678904696440584342420554695349946203137175887310575893102490880*t^19 + 33878682508034977892335667427389168444370806487027791036600230456789/102535780939288116868484110939069989240627435177462115178620498176*t^17 - 980855920906517764774323008833084467229729380148454182144298757298901/20378986461683513227611217049140160361574702741520595391750824012480*t^15 + 2190468075992249272235439028414159793129261868783347445618415291380323/418448522013234804940283656742344626091000562959222892043950253056256*t^13 - 113017712407774844921761701636728823087771809863390071460405845176587937/275339127484708501650706646136462763967878370427168662964919266511016448*t^11 + 24860910917350384574866436692798759301940131996595925014682059883972399/1126387339710171143116527188740074943504956969929326348492851544817794560*t^9 - 178326401531026550188266450281395434706924524833265252695089137799/236139903503180533148118907492678185221164983213695251256363007299328*t^7 + 16293172894485523000106852186558487461479697416014600022654120031/1117447757648979308647348401527852126493012866993379313981003516684320*t^5 - 17827044653752198042000632421235548335827376077227202323719772579/139457480154592617719189080510675945386328005800773738384829238882203136*t^3 + 14338846722924764823572358128415658386032423261165278096576133/46485826718197539239729693503558648462109335266924579461609746294067712*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:
| (0.51909612920681181593 + 6.2632658719796208052e-847j)  +/-  (6.57e-246, 6.57e-246j)
| (0.9782286581460569928 + 2.3176443163333051126e-849j)  +/-  (3.22e-240, 3.22e-240j)
| (-0.88706259976809529908 + 6.5464524056128545151e-869j)  +/-  (2.08e-240, 2.08e-240j)
| (0.99830447999694790041 + 1.2792233723331989823e-868j)  +/-  (7.06e-241, 7.06e-241j)
| (0.93697730750483150689 + 1.5099009186469201639e-880j)  +/-  (3.63e-240, 3.63e-240j)
| (0.91132177238465617417 - 5.0319249792808078775e-888j)  +/-  (3.55e-240, 3.55e-240j)
| (-0.99109155573433854993 - 4.7611349507338772079e-897j)  +/-  (2.18e-240, 2.18e-240j)
| (-0.91132177238465617417 + 8.5047781219176331503e-897j)  +/-  (3.62e-240, 3.62e-240j)
| (-0.9782286581460569928 + 1.3425468491639802107e-896j)  +/-  (3.36e-240, 3.36e-240j)
| (-0.99830447999694790041 + 8.1259202530338150139e-898j)  +/-  (6.46e-241, 6.46e-241j)
| (0.85923913977231152766 - 1.1890352437358246738e-896j)  +/-  (7.81e-241, 7.81e-241j)
| (-0.19849655580992875252 - 3.5550371793775638535e-914j)  +/-  (5.54e-252, 5.54e-252j)
| (-0.85923913977231152766 + 8.3358240634315174837e-906j)  +/-  (7.43e-241, 7.43e-241j)
| (-0.82223694657126440006 + 4.3084932649166642458e-908j)  +/-  (1.88e-241, 1.88e-241j)
| (0.99109155573433854993 + 8.6269395323950167747e-909j)  +/-  (2.13e-240, 2.13e-240j)
| (0.88706259976809529908 - 1.7809386184414918755e-921j)  +/-  (2.02e-240, 2.02e-240j)
| (0.77862462538017224309 - 1.1329969246023590454e-926j)  +/-  (3.86e-242, 3.86e-242j)
| (-0.95997212101126122796 + 1.5071012919885423313e-924j)  +/-  (3.37e-240, 3.37e-240j)
| (-0.77862462538017224309 - 4.3681018998703943514e-930j)  +/-  (3.96e-242, 3.96e-242j)
| (-0.93697730750483150689 - 5.7456843705647169666e-929j)  +/-  (3.69e-240, 3.69e-240j)
| (0.82223694657126440006 - 2.5057775760818956596e-929j)  +/-  (1.89e-241, 1.89e-241j)
| (0.73015200557404932409 + 6.8933210184912342509e-936j)  +/-  (7.35e-243, 7.35e-243j)
| (0.19849655580992875252 - 8.4122066977931874588e-948j)  +/-  (5.63e-252, 5.63e-252j)
| (-0.4057855931856229671 - 7.479940432875024345e-945j)  +/-  (4.98e-248, 4.98e-248j)
| (-0.73015200557404932409 + 1.2952075330272590558e-939j)  +/-  (7.22e-243, 7.22e-243j)
| (-1.9536068174165881222e-949 - 4.2489819943352440584e-950j)  +/-  (9e-948, 9e-948j)
| (0.67792099987124251142 + 2.6802630347812889924e-939j)  +/-  (1.25e-243, 1.25e-243j)
| (0.95997212101126122796 + 4.3748020743517147944e-952j)  +/-  (3.54e-240, 3.54e-240j)
| (-0.67792099987124251142 - 6.1105285489764499321e-971j)  +/-  (1.3e-243, 1.3e-243j)
| (-0.62339896593674833591 + 1.4303395196139145473e-973j)  +/-  (2.29e-244, 2.29e-244j)
| (-0.33922312700371203653 + 1.3946026730502713939e-978j)  +/-  (2.77e-249, 2.77e-249j)
| (0.26954315595234497233 + 7.5899850382877574901e-978j)  +/-  (1.13e-250, 1.13e-250j)
| (0.62339896593674833591 + 5.422928290316715804e-973j)  +/-  (2.5e-244, 2.5e-244j)
| (0.060951189834873209916 - 6.9668034467563804092e-983j)  +/-  (1.8e-254, 1.8e-254j)
| (-0.5694667156699958151 + 7.3344054033877317882e-980j)  +/-  (4.13e-245, 4.13e-245j)
| (-0.46653541464058167468 - 2.2636111610937577344e-983j)  +/-  (7.13e-247, 7.13e-247j)
| (0.12795563599012561477 + 2.2755554212825006528e-983j)  +/-  (2.71e-253, 2.71e-253j)
| (0.5694667156699958151 + 1.2376224484305172206e-978j)  +/-  (4.1e-245, 4.1e-245j)
| (0.33922312700371203653 - 2.1409230860300415514e-983j)  +/-  (2.61e-249, 2.61e-249j)
| (-0.26954315595234497233 + 1.572161941326603456e-986j)  +/-  (1.11e-250, 1.11e-250j)
| (-0.51909612920681181593 - 4.1261253092276156209e-983j)  +/-  (6.48e-246, 6.48e-246j)
| (-0.12795563599012561477 + 1.4225688238409966442e-985j)  +/-  (2.86e-253, 2.86e-253j)
| (0.46653541464058167468 + 1.359483443266207393e-981j)  +/-  (7.31e-247, 7.31e-247j)
| (0.4057855931856229671 + 4.7036459668514459839e-984j)  +/-  (4.92e-248, 4.92e-248j)
| (-0.060951189834873209916 + 4.9287347962034668271e-991j)  +/-  (1.8e-254, 1.8e-254j)
-------------------------------------------------
The weights are:
| (0.049655818517784974747 - 3.1478637512900456714e-848j)  +/-  (3.86e-73, 3.42e-189j)
| (0.015621842720756917589 + 3.7556965126314052104e-850j)  +/-  (1.79e-73, 1.59e-189j)
| (0.024047657693986275365 - 7.8456911585041920252e-849j)  +/-  (6.13e-75, 5.42e-191j)
| (0.0043484687017863568108 + 3.8857356681223147569e-850j)  +/-  (6.65e-74, 5.88e-190j)
| (0.024897732978640612178 + 4.4163311814754059927e-849j)  +/-  (7.89e-74, 6.97e-190j)
| (0.025489860348945247282 - 1.3280128211544865999e-848j)  +/-  (5.41e-74, 4.78e-190j)
| (0.010064055861765659916 + 2.338561532676367783e-850j)  +/-  (2.9e-76, 2.56e-192j)
| (0.025489860348945247282 + 5.1424941223862258531e-849j)  +/-  (5.91e-76, 5.22e-192j)
| (0.015621842720756917589 - 5.4854887317862874427e-850j)  +/-  (1.51e-76, 1.33e-192j)
| (0.0043484687017863568108 - 6.0802545101637166624e-851j)  +/-  (9.49e-77, 8.39e-193j)
| (0.032667321235025227611 - 2.7641373073569161712e-848j)  +/-  (1.96e-77, 1.74e-193j)
| (0.07116935939761053691 + 3.3506704311802167721e-848j)  +/-  (3.91e-79, 3.45e-195j)
| (0.032667321235025227611 + 8.1126735373772018437e-849j)  +/-  (2.98e-77, 2.63e-193j)
| (0.040725064643368438171 - 7.2701289752968133435e-849j)  +/-  (4.5e-78, 3.98e-194j)
| (0.010064055861765659916 - 1.9331561615418590615e-849j)  +/-  (2.22e-77, 1.96e-193j)
| (0.024047657693986275365 + 2.3647931997273627793e-848j)  +/-  (1.82e-77, 1.6e-193j)
| (0.04623829606701329131 - 3.337457364377283409e-848j)  +/-  (2.26e-79, 2e-195j)
| (0.020795099747321867428 + 1.1509820827431439789e-849j)  +/-  (4.28e-78, 3.78e-194j)
| (0.04623829606701329131 + 7.3344739078352959092e-849j)  +/-  (6.64e-80, 5.87e-196j)
| (0.024897732978640612178 - 2.4381661542034416653e-849j)  +/-  (2.88e-78, 2.54e-194j)
| (0.040725064643368438171 + 2.8353272384925968106e-848j)  +/-  (2.56e-79, 2.27e-195j)
| (0.050537089627728197919 + 4.6628555932914404399e-848j)  +/-  (8.78e-81, 7.76e-197j)
| (0.07116935939761053691 + 7.4336222956951018755e-848j)  +/-  (1.65e-83, 1.46e-199j)
| (0.064230869222785943511 - 2.7184180783810698884e-848j)  +/-  (1.3e-83, 1.15e-199j)
| (0.050537089627728197919 - 8.4692232648460844696e-849j)  +/-  (1.33e-81, 1.17e-197j)
| (0.05915901028721546568 - 8.1353337917014998287e-848j)  +/-  (1.59e-84, 1.4e-200j)
| (0.053698091493877539686 - 7.8572066097484896296e-848j)  +/-  (3.39e-82, 3e-198j)
| (0.020795099747321867428 + 3.7936228912129390642e-850j)  +/-  (2.04e-80, 1.8e-196j)
| (0.053698091493877539686 + 1.1035240906628414448e-848j)  +/-  (8.32e-83, 7.36e-199j)
| (0.05488064513678228137 - 1.6020123001562914915e-848j)  +/-  (1.26e-83, 1.11e-199j)
| (0.068455722182776895358 + 2.5787354359091167556e-848j)  +/-  (3.66e-85, 3.24e-201j)
| (0.070630460481985317414 - 8.6235188328736423903e-848j)  +/-  (7.28e-86, 6.43e-202j)
| (0.05488064513678228137 + 1.6766910606373237917e-847j)  +/-  (1.08e-84, 9.54e-201j)
| (0.063952411561030172604 + 8.1992511237209664518e-848j)  +/-  (5.76e-86, 5.09e-202j)
| (0.052247348987882012614 + 2.4150106297232448721e-848j)  +/-  (3.52e-85, 3.11e-201j)
| (0.056655474446016639406 + 3.0727707496356753036e-848j)  +/-  (8.12e-86, 7.19e-202j)
| (0.069411803801521861962 - 7.4897908689026671758e-848j)  +/-  (2.9e-86, 2.56e-202j)
| (0.052247348987882012614 - 5.0284161719918953964e-847j)  +/-  (2.05e-86, 1.81e-202j)
| (0.068455722182776895358 + 1.2103513861518760489e-847j)  +/-  (2.66e-87, 2.36e-203j)
| (0.070630460481985317414 - 2.7630752376069781918e-848j)  +/-  (3.15e-87, 2.81e-203j)
| (0.049655818517784974747 - 3.0904207674570134252e-848j)  +/-  (1.72e-86, 1.53e-202j)
| (0.069411803801521861962 - 4.5528238310444206804e-848j)  +/-  (5.99e-88, 5.33e-204j)
| (0.056655474446016639406 + 5.6144049542766406649e-847j)  +/-  (4.16e-88, 3.61e-204j)
| (0.064230869222785943511 - 2.1726723667002871124e-847j)  +/-  (3.04e-88, 2.63e-204j)
| (0.063952411561030172604 + 6.493062214314769101e-848j)  +/-  (2.58e-88, 2.39e-204j)
