Starting with polynomial:
P : -1/39916800*t^11 + 11/3628800*t^10 - 11/72576*t^9 + 11/2688*t^8 - 11/168*t^7 + 77/120*t^6 - 77/20*t^5 + 55/4*t^4 - 55/2*t^3 + 55/2*t^2 - 11*t + 1
Extension levels are: 11 20
-------------------------------------------------
Trying to find an order 20 Kronrod extension for:
P1 : -1/39916800*t^11 + 11/3628800*t^10 - 11/72576*t^9 + 11/2688*t^8 - 11/168*t^7 + 77/120*t^6 - 77/20*t^5 + 55/4*t^4 - 55/2*t^3 + 55/2*t^2 - 11*t + 1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -1/39916800*t^31 + 1915775589568051119924779058808677305395520485242236102572846315907/105393851672213585459374657579984306821408885194903283346442293184505600*t^30 - 50035361100364010042842434150060563108922023204606835169481390540939/8130382843285048021151759299027360811937256857892539001011262617090432*t^29 + 136700916348577908958856992794866499528894465837494388285553640617071749/105694976962705624274972870887355690555184339152603007013146414022175616*t^28 - 35024931387195200991031229214875963243995709391211051284044028967830196417/184966209684734842481202524052872458471572593517055262273006224538807328*t^27 + 703823921424939641028262461213755110045147264066625294840868295492907788339/34253001793469415274296763713494899716957887688343567087593745284964320*t^26 - 29398875160396445082715047673757192379885395435019300817039279608735875656517/17126500896734707637148381856747449858478943844171783543796872642482160*t^25 + 387774783108723728605957271586394027454196686053987222827218603548500257280815/3425300179346941527429676371349489971695788768834356708759374528496432*t^24 - 855894473265320197282694953160726003842771671506044086667801017476659455672545/142720840806122563642903182139562082153991198701431529531640605354018*t^23 + 36861346878185344379863386467425600041394728992070891216691136517384215792267345/142720840806122563642903182139562082153991198701431529531640605354018*t^22 - 650829715401661567169976996187687494436107612063129176895371896968145404168394649/71360420403061281821451591069781041076995599350715764765820302677009*t^21 + 246127160868024806463905113086329832590826297512739942858930147593797261061014567/926758706533263400278592091815338195805137653905399542413250684117*t^20 - 5018600623040614602443721454878229468530233369077495981717439458586624561587460900/784180443989684415620347154612978473373578014843030382041981348099*t^19 + 1303267164775236207588671083634610748269677942045142728803723332586043123619226876900/10194345771865897403064513009968720153856514192959394966545757525287*t^18 - 799388905378389314973892764913377681147836236090831738134044054355655944373327488200/377568361920959163076463444813656301994685710850347961723916945381*t^17 + 10960528406585622737122349241351486519249514762594625186178453042209555836624122588920/377568361920959163076463444813656301994685710850347961723916945381*t^16 - 124070455639488901130024141572063437939702765903157786918838340573202820744530513409920/377568361920959163076463444813656301994685710850347961723916945381*t^15 + 1154540334666205137317201990147454764363962915617114886531025822960358446139464561712000/377568361920959163076463444813656301994685710850347961723916945381*t^14 - 8780358491574095680552420807487483830342294252849407632635736329968451531539036521184000/377568361920959163076463444813656301994685710850347961723916945381*t^13 + 4166132343257837194840727875240683168183192068594489204058037739747870498080423499808000/29043720147766089467420264985665869384206593142334458594147457337*t^12 - 20643148989045335048670458155578989011248348805989259100569105688442059534020481594649600/29043720147766089467420264985665869384206593142334458594147457337*t^11 + 7380118876415498686635281252124238581948315181679439818553759898908490912737929122329600/2640338195251462678856387725969624489473326649303132599467950667*t^10 - 22689255274398116010652164584613912795961050895039408923053024389228652757247395782400000/2640338195251462678856387725969624489473326649303132599467950667*t^9 + 53504786447200302297548625836262844569187405851181554687927379690663383173524228972800000/2640338195251462678856387725969624489473326649303132599467950667*t^8 - 94458956765788626873973968215870144632405268605106019766963770357112521462678859315200000/2640338195251462678856387725969624489473326649303132599467950667*t^7 + 9304988616876375140293006769762330916486572129086849863411106837017745459641694574592000/203102938096266359912029825074586499190255896100240969189842359*t^6 - 107713942273291860945018978017179733802900711676628102148947288015934697614821572079616000/2640338195251462678856387725969624489473326649303132599467950667*t^5 + 62867230892869805269347119693332821141455495828430051154718553772743952853631209164800000/2640338195251462678856387725969624489473326649303132599467950667*t^4 - 22026250795348979689174298545234742222541459191211571967707136987887419895142826393600000/2640338195251462678856387725969624489473326649303132599467950667*t^3 + 4007170737327274765880138129420090523831623110746905611395465859151416752973734297600000/2640338195251462678856387725969624489473326649303132599467950667*t^2 - 283895560754269998506657099247454506060002416956230732446145621340677633894080020480000/2640338195251462678856387725969624489473326649303132599467950667*t + 3362577965715373270116662550515268374409776775566331643040225206438487042417786880000/2640338195251462678856387725969624489473326649303132599467950667
-------------------------------------------------
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 roots: 424
 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:
| (76.203363596201114798 + 1.3144219794159090673e-181j)  +/-  (1.25e-179, 1.25e-179j)
| (67.066571437137625874 + 7.1616976559920988424e-178j)  +/-  (3.73e-176, 3.73e-176j)
| (59.401922443634412401 + 2.8228738631284493034e-175j)  +/-  (9.18e-174, 9.18e-174j)
| (88.011330832798210392 - 1.7664275110753787948e-185j)  +/-  (2.26e-183, 2.26e-183j)
| (7.5098878638066168194 + 1.3708942358191038383e-189j)  +/-  (7.34e-188, 7.34e-188j)
| (14.431613758064185535 - 1.1472130651982933823e-177j)  +/-  (1.13e-175, 1.13e-175j)
| (41.534039959680750128 + 2.4414704664760928469e-167j)  +/-  (7.85e-166, 7.85e-166j)
| (28.787501646094143636 + 1.1312788536064896408e-193j)  +/-  (2.91e-191, 2.91e-191j)
| (8.9618485913291540187 - 2.3346635612661534679e-219j)  +/-  (7.33e-218, 7.33e-218j)
| (5.0292844015798332124 - 2.142172684750901105e-226j)  +/-  (6.65e-225, 6.65e-225j)
| (6.2130181818441357559 + 1.1051947330703786025e-227j)  +/-  (3.48e-226, 3.48e-226j)
| (33.497192847175537273 - 8.1405532270029242731e-253j)  +/-  (2.23e-238, 2.23e-238j)
| (33.315537216971253052 - 8.6405664268697322325e-305j)  +/-  (2.04e-238, 2.04e-238j)
| (25.217709339677561104 - 7.6327486128318226576e-322j)  +/-  (2.32e-240, 2.32e-240j)
| (16.659288176929307694 - 1.7656446852722703168e-329j)  +/-  (2.51e-241, 2.51e-241j)
| (1.0824154776730023573 - 5.0745272784107646981e-356j)  +/-  (8.53e-250, 8.53e-250j)
| (2.3278817784095510197 + 9.8147192440580349045e-351j)  +/-  (1.15e-247, 1.15e-247j)
| (0.12579644218796752268 + 4.7074678940371157877e-358j)  +/-  (1.09e-253, 1.09e-253j)
| (46.838887209405703901 - 2.5554210882513389079e-325j)  +/-  (1.13e-240, 1.13e-240j)
| (0.35489982730431393063 - 3.6713700841956524525e-369j)  +/-  (4.33e-252, 4.33e-252j)
| (12.430388774043891704 - 1.0573925326672630221e-336j)  +/-  (4.18e-242, 4.18e-242j)
| (1.6471505458721693096 - 5.4262218155670346797e-360j)  +/-  (9.47e-249, 9.47e-249j)
| (10.605950999546967781 - 8.7797695133828855087e-340j)  +/-  (1.47e-242, 1.47e-242j)
| (52.741700683064755348 - 1.1543355821995781113e-329j)  +/-  (3.58e-241, 3.58e-241j)
| (0.014633917690887834217 + 2.1239619342499904693e-370j)  +/-  (2.62e-255, 2.62e-255j)
| (3.0911381430352549533 + 1.1067506087396880919e-351j)  +/-  (8.41e-247, 8.41e-247j)
| (0.66541825583922784168 - 1.101243512645480289e-366j)  +/-  (6.47e-251, 6.47e-251j)
| (3.9787681485982369103 - 1.045042938312509624e-350j)  +/-  (6.78e-246, 6.78e-246j)
| (19.178857403214678648 + 3.2922441195744127363e-327j)  +/-  (5.95e-241, 5.95e-241j)
| (36.629830237368975264 + 4.8399246883023901522e-330j)  +/-  (1.24e-239, 1.24e-239j)
| (22.02579382796631648 + 8.0638241885723088879e-338j)  +/-  (1.24e-240, 1.24e-240j)
-------------------------------------------------
The weights are:
| (8.1612465883663127129e-33 - 1.5932052936725752031e-195j)  +/-  (3.35e-98, 7.46e-144j)
| (6.194651230451077601e-29 + 4.2012001596603425968e-193j)  +/-  (9.54e-97, 2.12e-142j)
| (1.1321790531178612181e-25 - 5.7135387833279257366e-191j)  +/-  (1.21e-95, 2.7e-141j)
| (8.4580845546612305352e-38 + 1.6057219609463292188e-198j)  +/-  (7.74e-101, 1.72e-146j)
| (0.00074710527801325367403 + 2.0373039450331514459e-176j)  +/-  (3.72e-74, 8.27e-120j)
| (1.1354200476345260689e-06 + 1.5559500612277770337e-178j)  +/-  (1.51e-81, 3.37e-127j)
| (4.6295336826495777311e-18 - 8.4436374631275264227e-185j)  +/-  (6.74e-93, 1.5e-138j)
| (1.1914484505735542807e-12 - 3.7849639708415688117e-182j)  +/-  (1.62e-89, 3.6e-135j)
| (0.00019831247479204493324 - 7.1703341150229962546e-177j)  +/-  (8.66e-78, 1.93e-123j)
| (0.0073587217525566562825 + 1.1147002323671571704e-175j)  +/-  (2.15e-73, 4.79e-119j)
| (0.0024804318140033908492 - 4.9941297045041058598e-176j)  +/-  (7.6e-75, 1.69e-120j)
| (-5.7250681093632851221e-14 - 1.009441762312109002e-181j)  +/-  (1.7e-91, 3.79e-137j)
| (8.0096122276149495794e-14 + 1.0741924671929676173e-181j)  +/-  (1.92e-91, 4.28e-137j)
| (3.7666777165299173882e-11 + 1.9345062191507736287e-181j)  +/-  (8.77e-91, 1.95e-136j)
| (1.3764310233054317543e-07 - 3.3976119336664244664e-179j)  +/-  (7.6e-88, 1.69e-133j)
| (0.16633975431125938254 - 1.2438713405939762012e-174j)  +/-  (1.29e-72, 2.87e-118j)
| (0.070421626552491537186 - 6.6251327571403954632e-175j)  +/-  (1.51e-76, 3.35e-122j)
| (0.15465936345466000784 + 8.201687386215368842e-175j)  +/-  (6.43e-73, 1.43e-118j)
| (2.5399609699469990043e-20 - 5.2834855806736600202e-187j)  +/-  (2.52e-97, 5.62e-143j)
| (0.19237061742855562942 - 1.2616558491900162559e-174j)  +/-  (4.32e-75, 9.61e-121j)
| (7.6277518825549301728e-06 - 6.1793563420187956185e-178j)  +/-  (3.84e-86, 8.55e-132j)
| (0.12164514803906988223 + 9.2151427828969159989e-175j)  +/-  (3.54e-78, 7.88e-124j)
| (4.30500658230787967e-05 + 2.2072322319873547245e-177j)  +/-  (3.49e-85, 7.76e-131j)
| (7.7708697493168564691e-23 + 5.5137445621998634909e-189j)  +/-  (4.42e-99, 9.85e-145j)
| (0.047687070842566730241 - 2.9434919630435291711e-175j)  +/-  (4.53e-78, 1.01e-123j)
| (0.036966565037423409204 + 4.3020836059766127496e-175j)  +/-  (1.76e-81, 3.92e-127j)
| (0.18093146176503800961 + 1.4478331641625478313e-174j)  +/-  (8.23e-79, 1.83e-124j)
| (0.01814185695416176022 - 2.3378271982131065642e-175j)  +/-  (2.61e-82, 5.81e-128j)
| (1.2555668011696582063e-08 + 6.4531326363335543453e-180j)  +/-  (2.69e-90, 5.98e-136j)
| (6.1242640536705055764e-16 + 1.4303143887953164964e-183j)  +/-  (4.02e-95, 8.96e-141j)
| (8.2000300714660517913e-10 - 1.1236133409296110846e-180j)  +/-  (2.06e-91, 4.59e-137j)
