Starting with polynomial:
P : 67282234305/262144*t^21 - 172308161025/131072*t^19 + 755505013725/262144*t^17 - 115707975075/32768*t^15 + 347123925225/131072*t^13 - 82047473235/65536*t^11 + 48522699225/131072*t^9 - 2151252675/32768*t^7 + 1673196525/262144*t^5 - 37182145/131072*t^3 + 969969/262144*t
Extension levels are: 21 22
-------------------------------------------------
Trying to find an order 22 Kronrod extension for:
P1 : 67282234305/262144*t^21 - 172308161025/131072*t^19 + 755505013725/262144*t^17 - 115707975075/32768*t^15 + 347123925225/131072*t^13 - 82047473235/65536*t^11 + 48522699225/131072*t^9 - 2151252675/32768*t^7 + 1673196525/262144*t^5 - 37182145/131072*t^3 + 969969/262144*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 67282234305/262144*t^43 - 2168675984761/786432*t^41 + 11460661535626963/831651840*t^39 - 77981209631420871061/1833792307200*t^37 + 11963649787644086132517059/131868004810752000*t^35 - 44652966655419667419234539881/314505191473643520000*t^33 + 687515791557477379540021983646213/4074218189796380774400000*t^31 - 542046090017085162405575137250861641/3483456552275905562112000000*t^29 + 3332810223318746375652697389180888656184947/29558452559550923538633922560000000*t^27 - 256962547109998248695564864192718148470512867249/3975759661522396970563955753932800000000*t^25 + 6542874102828125610660524224230028292340486332348701/222831389629176544207683310118548608000000000*t^23 - 15107622179921542995046580404722515107468781119011229/1432487504758992069906535565047812480000000000*t^21 + 568259189384296518139298109771136589326443672820217/190998333967865609320871408673041664000000000*t^19 - 2184431408469478901099000136277765390198186231987/3350847964348519461769673836369152000000000*t^17 + 16132399108163404837217379812509470081611121587/147831527838905270372191492780992000000000*t^15 - 671820208268268742448174574800079893134879907/49277175946301756790730497593664000000000*t^13 + 320244314588106664465454064972361230760316051/260332250282348903800085647664640000000000*t^11 - 633263120592945289946478157961498099104928779/8278565558978695140842723595735552000000000*t^9 + 4100550550190649186085337045606819300497/1340875535953789300428040750848000000000*t^7 - 13872217107067548405476424193398824572649/197108703785207027162921990374656000000000*t^5 + 8137718620514006881933478484112596331123/10643870004401179466797787480231424000000000*t^3 - 31432537239842614148261897659757212349/12671273814763308889044985095513600000000000*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:
| (-0.99896193068731718686 - 1.4762606946736463393e-921j)  +/-  (8.92e-241, 8.92e-241j)
| (0.99896193068731718686 + 1.203124188540492483e-936j)  +/-  (9.43e-241, 9.43e-241j)
| (-0.92009933415040082879 + 7.6685930032880323224e-940j)  +/-  (8.77e-241, 8.77e-241j)
| (0.99375217062038950026 + 1.6728854790194527416e-951j)  +/-  (2.24e-240, 2.24e-240j)
| (0.88912831533118433426 - 1.8123230730088427015e-954j)  +/-  (3.41e-241, 3.41e-241j)
| (0.96722683856630629432 - 4.7849045109943644812e-954j)  +/-  (2.27e-240, 2.27e-240j)
| (-0.98318486356168595383 + 3.3134340082303998592e-951j)  +/-  (2.92e-240, 2.92e-240j)
| (-0.88912831533118433426 + 1.7453681608175716394e-962j)  +/-  (3.43e-241, 3.43e-241j)
| (-0.072967247595790589088 + 2.1331681566799934887e-980j)  +/-  (2.32e-254, 2.32e-254j)
| (0.71972345257202475786 - 1.2072892854163819855e-975j)  +/-  (1.6e-243, 1.6e-243j)
| (0.81305258084753191325 + 2.4395280824934966574e-974j)  +/-  (4.22e-242, 4.22e-242j)
| (0.98318486356168595383 - 1.8559185205671038404e-972j)  +/-  (2.9e-240, 2.9e-240j)
| (-0.94614721677851262707 - 3.8384684113199212189e-970j)  +/-  (1.6e-240, 1.6e-240j)
| (-0.85336336458331728365 - 3.322116955938909179e-984j)  +/-  (1.23e-241, 1.23e-241j)
| (-0.99375217062038950026 - 1.5983903878765109809e-998j)  +/-  (2.29e-240, 2.29e-240j)
| (0.85336336458331728365 - 6.511631663605263223e-1014j)  +/-  (1.29e-241, 1.29e-241j)
| (0.92009933415040082879 + 6.1318989420416259355e-1012j)  +/-  (8.25e-241, 8.25e-241j)
| (-0.42434212020743878357 - 1.8400203857175771318e-1021j)  +/-  (3.74e-248, 3.74e-248j)
| (-0.71972345257202475786 + 1.2937142460906932126e-1014j)  +/-  (1.84e-243, 1.84e-243j)
| (-0.3571252536599210773 + 1.3209750448504779631e-1022j)  +/-  (2.75e-249, 2.75e-249j)
| (0.94614721677851262707 - 8.7620096212752997046e-1015j)  +/-  (1.56e-240, 1.56e-240j)
| (0.76843996347567790862 + 1.5815675396389828419e-1016j)  +/-  (9.21e-243, 9.21e-243j)
| (0.14556185416089509094 - 8.3204298718327074642e-1027j)  +/-  (4.53e-253, 4.53e-253j)
| (-0.81305258084753191325 + 8.9926533932260185728e-1014j)  +/-  (3.65e-242, 3.65e-242j)
| (-0.76843996347567790862 + 2.013831779164976396e-1021j)  +/-  (9.2e-243, 9.2e-243j)
| (0.21738009387172883298 - 7.9780095765663332906e-1035j)  +/-  (1.01e-251, 1.01e-251j)
| (0.66713880419741231931 - 3.5723938434344828742e-1027j)  +/-  (3.1e-244, 3.1e-244j)
| (0.4892959088956686414 + 5.7344585141551502362e-1030j)  +/-  (4.75e-247, 4.75e-247j)
| (-0.14556185416089509094 - 1.4175272592933920028e-1032j)  +/-  (4.78e-253, 4.78e-253j)
| (-0.66713880419741231931 + 5.9127215186807527919e-1028j)  +/-  (3.25e-244, 3.25e-244j)
| (-0.96722683856630629432 + 1.3418760136103832695e-1044j)  +/-  (2.55e-240, 2.55e-240j)
| (0.3571252536599210773 - 2.0337969371988874463e-1059j)  +/-  (2.54e-249, 2.54e-249j)
| (0.61099712378976603905 - 1.7079378207571895642e-1055j)  +/-  (4.17e-245, 4.17e-245j)
| (-4.0963681071647182718e-1067 - 3.7299267357848487709e-1068j)  +/-  (1.77e-1065, 1.77e-1065j)
| (-0.61099712378976603905 + 1.7593291998326919613e-1055j)  +/-  (4.12e-245, 4.12e-245j)
| (-0.4892959088956686414 + 1.8072931531241539954e-1057j)  +/-  (5e-247, 5e-247j)
| (0.072967247595790589088 + 2.7058538101368755713e-1066j)  +/-  (2.32e-254, 2.32e-254j)
| (0.55161883588721980706 + 5.4122473594322145236e-1059j)  +/-  (4.96e-246, 4.96e-246j)
| (0.2880213168024010966 + 3.8861152082423947676e-1063j)  +/-  (1.74e-250, 1.74e-250j)
| (-0.2880213168024010966 - 4.2493254888163536199e-1062j)  +/-  (1.72e-250, 1.72e-250j)
| (-0.55161883588721980706 - 3.1321509315406385728e-1060j)  +/-  (4.91e-246, 4.91e-246j)
| (-0.21738009387172883298 + 7.2050750301418377818e-1067j)  +/-  (9.72e-252, 9.72e-252j)
| (0.42434212020743878357 - 1.7468654678188864548e-1062j)  +/-  (3.99e-248, 3.99e-248j)
-------------------------------------------------
The weights are:
| (0.0027954812324115695086 - 1.5680257869235736161e-921j)  +/-  (3.86e-78, 1.59e-193j)
| (0.0027954812324115695086 - 2.0655737417692129165e-924j)  +/-  (1.64e-78, 6.75e-194j)
| (0.028518426570204953083 + 5.3567440340525157561e-922j)  +/-  (5.49e-79, 2.26e-194j)
| (0.0078183373021241792478 + 6.0739774209468205824e-924j)  +/-  (1.27e-78, 5.24e-194j)
| (0.033402546320807622071 - 2.611679517936644236e-923j)  +/-  (7.35e-80, 3.02e-195j)
| (0.018560055408876216262 + 1.3810447649521863281e-923j)  +/-  (1.26e-79, 5.19e-195j)
| (0.013304642607088317448 - 1.244915850400107919e-921j)  +/-  (1.75e-80, 7.19e-196j)
| (0.033402546320807622071 - 4.4895969303691603064e-922j)  +/-  (1.13e-80, 4.65e-196j)
| (0.072845652830508441029 - 1.1613368415085426324e-922j)  +/-  (2.32e-81, 9.56e-197j)
| (0.050697197796517511975 - 4.3546236656276493438e-923j)  +/-  (5e-81, 2.06e-196j)
| (0.042496932881118485504 - 3.4622543725347660969e-923j)  +/-  (1.04e-80, 4.26e-196j)
| (0.013304642607088317448 - 9.9090143043459313046e-924j)  +/-  (1.37e-79, 5.65e-195j)
| (0.023574199083029030565 - 6.5893878692175605972e-922j)  +/-  (3.58e-81, 1.47e-196j)
| (0.038083153453465002584 + 3.854635765925823756e-922j)  +/-  (4.86e-82, 2e-197j)
| (0.0078183373021241792478 + 2.3232740667996633145e-921j)  +/-  (5.6e-81, 2.3e-196j)
| (0.038083153453465002584 + 3.0298643645634637665e-923j)  +/-  (1.8e-81, 7.39e-197j)
| (0.028518426570204953083 + 2.2013197350671819651e-923j)  +/-  (2.82e-81, 1.16e-196j)
| (0.066149577815951110014 + 1.6986781825384054037e-922j)  +/-  (1.68e-85, 6.9e-201j)
| (0.050697197796517511975 - 2.6802280596226858233e-922j)  +/-  (2.51e-85, 1.03e-200j)
| (0.06822070626102521507 - 1.5691148670790144455e-922j)  +/-  (1.25e-85, 5.14e-201j)
| (0.023574199083029030565 - 1.7891882087968889532e-923j)  +/-  (5.83e-82, 2.4e-197j)
| (0.046697324731514497925 + 3.9046526239986320547e-923j)  +/-  (9.88e-84, 4.06e-199j)
| (0.072275482222034062651 + 9.3190062845832729187e-923j)  +/-  (2.73e-87, 1.12e-202j)
| (0.042496932881118485504 - 3.3745775406479020668e-922j)  +/-  (1.33e-85, 5.48e-201j)
| (0.046697324731514497925 + 2.9936801803221841595e-922j)  +/-  (4.68e-86, 1.92e-201j)
| (0.071293346363784556102 - 8.6527936142603013683e-923j)  +/-  (8.04e-88, 3.31e-203j)
| (0.054418675178383649262 + 4.818257596567543979e-923j)  +/-  (1.53e-86, 6.3e-202j)
| (0.063695615249100799842 - 6.3182152120664067427e-923j)  +/-  (3.01e-88, 1.24e-203j)
| (0.072275482222034062651 + 1.2498035373125835976e-922j)  +/-  (1.46e-88, 6.02e-204j)
| (0.054418675178383649262 + 2.4192715581411751571e-922j)  +/-  (5.45e-88, 2.24e-203j)
| (0.018560055408876216262 + 8.556441860421060762e-922j)  +/-  (3.22e-86, 1.32e-201j)
| (0.06822070626102521507 - 7.4266277550957179724e-923j)  +/-  (2.39e-89, 9.84e-205j)
| (0.057810457497609522303 - 5.3009612826794681565e-923j)  +/-  (2.43e-88, 9.99e-204j)
| (0.073027487962769082973 + 1.0795829392218723331e-922j)  +/-  (1.41e-89, 5.81e-205j)
| (0.057810457497609522303 - 2.1997692735918374249e-922j)  +/-  (1.9e-89, 7.81e-205j)
| (0.063695615249100799842 - 1.8449598206439369076e-922j)  +/-  (6.62e-90, 2.72e-205j)
| (0.072845652830508441029 - 1.0032302154864893219e-922j)  +/-  (6.75e-90, 2.77e-205j)
| (0.060898680204661962686 + 5.8012200906907747101e-923j)  +/-  (5.41e-90, 2.22e-205j)
| (0.06992976500839875338 + 8.0246343021273790656e-923j)  +/-  (2.39e-90, 9.83e-206j)
| (0.06992976500839875338 + 1.4526628121067020692e-922j)  +/-  (2.59e-91, 1.07e-206j)
| (0.060898680204661962686 + 2.0108190782089892772e-922j)  +/-  (3.11e-91, 1.28e-206j)
| (0.071293346363784556102 - 1.3465968638347763532e-922j)  +/-  (2.25e-91, 9.33e-207j)
| (0.066149577815951110014 + 6.8579453188719985868e-923j)  +/-  (1.61e-91, 6.25e-207j)
