Starting with polynomial:
P : -t+1
Extension levels are: 1 48
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^49 + 8769750693647547068517989057641628471050400969181427469905771009/3720622112675407553726433431351627224048859730507899347807489*t^48 - 9914443424365179571820710786492415973687732163676223673796076590208/3720622112675407553726433431351627224048859730507899347807489*t^47 + 152376100111158030424436271464446256530031304436735272135417711322752/79162172610115054334604966624502706894656590010806369102287*t^46 - 79046311630941376290994131114530493290840425165571934852074654492024448/79162172610115054334604966624502706894656590010806369102287*t^45 + 31381694852747462567421897222869411335304187565064918851527902576196800640/79162172610115054334604966624502706894656590010806369102287*t^44 - 9921881741041610123135817953778215251802608948018287185716890613487913815040/79162172610115054334604966624502706894656590010806369102287*t^43 + 2566923541592044108766423582333938846400379953874266866689299787727402084807680/79162172610115054334604966624502706894656590010806369102287*t^42 - 554128162657734432759131786818385551244202305394648578508679487941101011113904640/79162172610115054334604966624502706894656590010806369102287*t^41 + 101280191051891699728753791004858142611868901871532869667299026054338764323232258560/79162172610115054334604966624502706894656590010806369102287*t^40 - 15849848844558204687101648079035385873282420592341109218458528884428568144634790297600/79162172610115054334604966624502706894656590010806369102287*t^39 + 2142517535523426782924880988862124203681882498404128643665177625986165691843384512921600/79162172610115054334604966624502706894656590010806369102287*t^38 - 251909800415399755217907417716913991362234121850373972642679188096703190884725591218995200/79162172610115054334604966624502706894656590010806369102287*t^37 + 25906042356374265702496641551337691909537733569876046113585720042700591013510481782727065600/79162172610115054334604966624502706894656590010806369102287*t^36 - 2340580162132829900052693755068686028423708778926842519809887817237109849708724268109014630400/79162172610115054334604966624502706894656590010806369102287*t^35 + 186445079600839434964398703199772433806433834769788036283573633292578140723619054847055773696000/79162172610115054334604966624502706894656590010806369102287*t^34 - 13130915804003379929586364168397257164817964116574780858381464435821411092177434941777994223616000/79162172610115054334604966624502706894656590010806369102287*t^33 + 819387596873847913751851181843254768822050595162015151044363834138274241299583833121318316511232000/79162172610115054334604966624502706894656590010806369102287*t^32 - 45375953093943712039298140371780765573732249307385570821792478837431408187581485760513964513427456000/79162172610115054334604966624502706894656590010806369102287*t^31 + 2232446307333363708518294686820838318604498538481865294015823818076989165693963205304222597915869184000/79162172610115054334604966624502706894656590010806369102287*t^30 - 97642110210129269180359780741367069346191651552952665398875946399312117171827143650357591950156103680000/79162172610115054334604966624502706894656590010806369102287*t^29 + 3797480898686013391070966132583084974890814796343818626137166164215206005110724672150626925811261767680000/79162172610115054334604966624502706894656590010806369102287*t^28 - 131306734886462285893354185152727041303483466044327353910580401412489728899880402167910102394652600565760000/79162172610115054334604966624502706894656590010806369102287*t^27 + 4034382974914535440387535856535309333283278520542852730687441808055570286275890600228465876957335000186880000/79162172610115054334604966624502706894656590010806369102287*t^26 - 110044726103177959632069382490611380734157541438934513037875047691332292139960928251357979727121211950366720000/79162172610115054334604966624502706894656590010806369102287*t^25 + 2661358293656579275663912625553622047854235113731133520701345444727483863745440114907020931331937201553408000000/79162172610115054334604966624502706894656590010806369102287*t^24 - 56970796092562181033193393722037258329085009780677262619328817906572169393050370982820507877840238619394048000000/79162172610115054334604966624502706894656590010806369102287*t^23 + 1077245215675022997505964447078504344226629049789941355898453505105048422286807721115096331685274488433278976000000/79162172610115054334604966624502706894656590010806369102287*t^22 - 17947494984824273121430136288132616490954454075534951938835327497220150267419261658871330912586813088011911168000000/79162172610115054334604966624502706894656590010806369102287*t^21 + 262684493018079606314255628484604452723525353381831194966856820108013393543843225002211535464300748906883448832000000/79162172610115054334604966624502706894656590010806369102287*t^20 - 3365910485857982859621212114501413510553359194866802530138536156317558877062534555662534310105130512545281474560000000/79162172610115054334604966624502706894656590010806369102287*t^19 + 37606430464379799556577356609595412543342687239224213171598460561549668010154340629388330576163547053308415836160000000/79162172610115054334604966624502706894656590010806369102287*t^18 - 364664940625572889415111376827630360203936286686628329693494085456535054930683571365564638676246822517654390046720000000/79162172610115054334604966624502706894656590010806369102287*t^17 + 3052582404212054215286195702942968838469289485060491630184728363127658771021885887125073707505881948298246944194560000000/79162172610115054334604966624502706894656590010806369102287*t^16 - 21922514558221464680024922008653294942467997241852545668054994656852614163274590557001168568802082425401994630922240000000/79162172610115054334604966624502706894656590010806369102287*t^15 + 134105652317793350255375154825949922289016204588957672960168961793018362594319839011524061807002572173673524258406400000000/79162172610115054334604966624502706894656590010806369102287*t^14 - 692973537922665216757657193357478275271796546503811118295470548756358452534649799741554439768177345446486340953702400000000/79162172610115054334604966624502706894656590010806369102287*t^13 + 2995485271823125693429524099338611432136522235025330126341328038164736792693219531409543092945967521555618602994892800000000/79162172610115054334604966624502706894656590010806369102287*t^12 - 10708170012561341873521097684925072627192276088700690221518222119593667113837631436834724290351256067504253371311718400000000/79162172610115054334604966624502706894656590010806369102287*t^11 + 31227392752542481637371110933667342973085969965324018323691140941161261068126991617983971472725784548707162931173785600000000/79162172610115054334604966624502706894656590010806369102287*t^10 - 73080004049896871860185502112187113077592323754005763618218212624342605290996919381137701008981359655842567352745984000000000/79162172610115054334604966624502706894656590010806369102287*t^9 + 134522283504718066092253692148943301622440183662702926722046204989227968069409393587867154639707533978860863843467264000000000/79162172610115054334604966624502706894656590010806369102287*t^8 - 189968758907139969296716453802599566039679139094714913380055324935468240766395161136648655934161306541912859636400128000000000/79162172610115054334604966624502706894656590010806369102287*t^7 + 199362973749165148593564421524038549242163300413959139131766787701089906494360257445678001591852221023701916528410624000000000/79162172610115054334604966624502706894656590010806369102287*t^6 - 149113570832568918713672105988709151141513518350179908852818383475902945980242226642056481955874171009221379055681536000000000/79162172610115054334604966624502706894656590010806369102287*t^5 + 75062211847173225977712451415921938481506449493854835483641583189901800662428619652229322661745544090381469215621120000000000/79162172610115054334604966624502706894656590010806369102287*t^4 - 23402974264203805759631443306011560848678202865255555340732621450771697855942184368303203792542954148048678284165120000000000/79162172610115054334604966624502706894656590010806369102287*t^3 + 3963322934675211206375690126496213340133498263328632521962175107258606165277709263197978851495933249569553215651840000000000/79162172610115054334604966624502706894656590010806369102287*t^2 - 287102105463892910572042344213723415486604629371616062052927069193907267433732289762200670049168684622517549137920000000000/79162172610115054334604966624502706894656590010806369102287*t + 4978108157241868447879806351416919441403083063928831577054548560195864376074601515467410254564821737025285652480000000000/79162172610115054334604966624502706894656590010806369102287
-------------------------------------------------
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: 0
  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
Positive weights:   48 out of 49
Indefinite weights: 1 out of 49
Negative weights:   0 out of 49
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (175.02495922611125831 + 7.8024408093298161846e-710j)  +/-  (1.35e-238, 1.35e-238j)
| (128.51648267320194635 - 5.1010876512713200902e-702j)  +/-  (7.49e-234, 7.49e-234j)
| (120.24910039749933789 - 8.7847775276542436218e-702j)  +/-  (3.38e-233, 3.38e-233j)
| (159.88560864808727191 - 2.4811269723168631984e-709j)  +/-  (6.36e-237, 6.36e-237j)
| (105.62453126988803966 + 1.4953546804303070336e-704j)  +/-  (3.83e-232, 3.83e-232j)
| (46.991278512402991579 - 1.0551417146179187436e-705j)  +/-  (2.59e-231, 2.59e-231j)
| (13.717174928029165656 + 3.0690863691859388909e-713j)  +/-  (1.33e-237, 1.33e-237j)
| (37.170584413282013453 - 2.5632650110579806055e-707j)  +/-  (3.57e-232, 3.57e-232j)
| (34.211913161842863542 + 2.1383346294830973456e-708j)  +/-  (1.7e-232, 1.7e-232j)
| (147.90684850154053144 - 2.5289347949590299577e-711j)  +/-  (1.16e-235, 1.16e-235j)
| (31.400889686227108296 + 2.279408029149079321e-708j)  +/-  (5.93e-233, 5.93e-233j)
| (50.602907328891956924 - 3.3787304468092186843e-707j)  +/-  (4.29e-231, 4.29e-231j)
| (54.397360805822251054 - 1.1442421172700514002e-708j)  +/-  (5.55e-231, 5.55e-231j)
| (10.513401000319990017 + 2.8737802329824802755e-724j)  +/-  (3.51e-239, 3.51e-239j)
| (99.065178756674141124 + 8.7795557101751571192e-715j)  +/-  (9.63e-232, 9.63e-232j)
| (62.575879876972546768 - 8.6891854005581863046e-724j)  +/-  (8.81e-231, 8.81e-231j)
| (17.386306448173883818 + 9.4568730121895052901e-748j)  +/-  (3.31e-236, 3.31e-236j)
| (19.401294781059163131 + 6.9332377684538712652e-747j)  +/-  (1.54e-235, 1.54e-235j)
| (112.65789220561928668 + 1.0258424797834309859e-742j)  +/-  (1.26e-232, 1.26e-232j)
| (58.384572526358034899 - 1.8305829152120427515e-767j)  +/-  (7.63e-231, 7.63e-231j)
| (21.540193124592499792 + 9.4476054808705107873e-791j)  +/-  (5.47e-235, 5.47e-235j)
| (3.5472916448414472806 - 4.2161998689447295416e-808j)  +/-  (9.34e-245, 9.34e-245j)
| (4.441379283817820512 - 3.7351392828797260835e-809j)  +/-  (9.95e-244, 9.95e-244j)
| (76.515548917623913378 + 6.4184642422111762398e-797j)  +/-  (7.46e-231, 7.46e-231j)
| (26.202265812987844262 + 4.9060660291399258166e-815j)  +/-  (7.35e-234, 7.35e-234j)
| (137.63793266456465498 - 5.64282983162016407e-812j)  +/-  (1.13e-234, 1.13e-234j)
| (2.7571801280263505629 + 2.0807405816599639256e-832j)  +/-  (8.66e-246, 8.66e-246j)
| (9.0808928447603568035 - 1.212854474558239943e-826j)  +/-  (5.23e-240, 5.23e-240j)
| (23.806061480842672492 - 1.9864967012878951486e-820j)  +/-  (2.07e-234, 2.07e-234j)
| (43.553716315426443636 + 4.5837944134385098282e-817j)  +/-  (1.45e-231, 1.45e-231j)
| (81.676917649281764867 - 2.0461462027659190116e-831j)  +/-  (5.5e-231, 5.5e-231j)
| (66.984315037543762183 - 1.6471369478511064837e-855j)  +/-  (9.21e-231, 9.21e-231j)
| (1.4846682722953578813 - 4.4177126485100340771e-902j)  +/-  (4.54e-248, 4.54e-248j)
| (87.134127785288441723 + 5.3354135653264415256e-884j)  +/-  (3.72e-231, 3.72e-231j)
| (5.4405411036271217741 - 4.1117401713297584607e-914j)  +/-  (1.03e-242, 1.03e-242j)
| (12.058192886193335108 - 4.7883769823307685372e-909j)  +/-  (2.21e-238, 2.21e-238j)
| (6.5459616284590378905 + 2.2918477409091041409e-912j)  +/-  (8.85e-242, 8.85e-242j)
| (40.282456829961820146 + 9.1354190901157234387e-901j)  +/-  (7.5e-232, 7.5e-232j)
| (0.32576608667439663366 - 1.5802273559345838772e-937j)  +/-  (8.19e-252, 8.19e-252j)
| (92.917638209950740904 + 1.1290850533057516034e-915j)  +/-  (1.95e-231, 1.95e-231j)
| (28.732512672737261527 + 2.6106690437778199482e-933j)  +/-  (2.17e-233, 2.17e-233j)
| (7.7589368795810477784 - 2.7685706431880634987e-941j)  +/-  (7.54e-241, 7.54e-241j)
| (1 - 9.1153793030097981608e-950j)  +/-  (2.79e-249, 2.79e-249j)
| (0.61444491492417320134 + 1.6723606681947807683e-951j)  +/-  (1.73e-250, 1.73e-250j)
| (15.492444301578110144 + 2.7174597379174990294e-937j)  +/-  (6.82e-237, 6.82e-237j)
| (2.0699946992801324063 + 6.7496258063919902125e-948j)  +/-  (6.43e-247, 6.43e-247j)
| (0.02453589470129850715 - 3.6229655827545597362e-957j)  +/-  (1.07e-254, 1.07e-254j)
| (71.62498143244993268 + 1.4580742253240677878e-930j)  +/-  (8.77e-231, 8.77e-231j)
| (0.13061732058854255856 - 2.1096211674058750896e-960j)  +/-  (2.54e-253, 2.54e-253j)
-------------------------------------------------
The weights are:
| (1.741284164572436816e-75 + 6.3435926195610894604e-755j)  +/-  (2.58e-72, 1.81e-185j)
| (1.3286489903107438335e-55 + 8.0851398258472021613e-745j)  +/-  (3.4e-66, 2.39e-179j)
| (4.7252259117059507669e-52 - 5.2539331580399930636e-743j)  +/-  (4.94e-65, 3.47e-178j)
| (4.8093020489242663138e-69 - 1.1741402495451250661e-751j)  +/-  (3.8e-71, 2.67e-184j)
| (9.1068122282287660997e-46 - 8.6813858628530596472e-740j)  +/-  (3.17e-63, 2.23e-176j)
| (1.376852153288246349e-20 + 8.541977349324847959e-726j)  +/-  (8.44e-50, 5.94e-163j)
| (1.8941574020322669461e-06 - 4.7160093304722368972e-719j)  +/-  (1.74e-28, 1.22e-141j)
| (2.1831235539851340591e-16 + 3.431689076621499701e-723j)  +/-  (5.69e-46, 4e-159j)
| (3.9989472309297558384e-15 - 2.4781361782678110421e-722j)  +/-  (9.51e-45, 6.69e-158j)
| (6.3970373180281505649e-64 + 4.7066175058352737112e-749j)  +/-  (4.85e-71, 3.41e-184j)
| (6.3145805743507375863e-14 - 4.4748705558099425021e-722j)  +/-  (6.54e-44, 4.6e-157j)
| (3.9067281149451305641e-22 + 5.7712821197222549234e-727j)  +/-  (2.49e-52, 1.75e-165j)
| (9.2336193888543299304e-24 - 4.209576887284637063e-728j)  +/-  (4.05e-54, 2.85e-167j)
| (4.0438241542335408624e-05 - 1.514183291535181586e-718j)  +/-  (1.08e-31, 7.6e-145j)
| (6.0108286045691625758e-43 + 2.4409826811330876305e-738j)  +/-  (1.93e-65, 1.36e-178j)
| (2.8632593274769258473e-27 - 4.0115726772941465461e-730j)  +/-  (1.02e-57, 7.16e-171j)
| (5.4972288304681550013e-08 - 1.4493400949069400524e-720j)  +/-  (2.93e-40, 2.06e-153j)
| (7.7883907795676529632e-09 + 1.251569789536958198e-720j)  +/-  (7.9e-42, 5.55e-155j)
| (8.6374175274895345747e-49 + 2.4488510654176537729e-741j)  +/-  (9.24e-68, 6.5e-181j)
| (1.8002483782729119814e-25 + 4.0546048027786449741e-729j)  +/-  (1.44e-56, 1.02e-169j)
| (9.7274835116841780648e-10 - 7.0173059744312764555e-721j)  +/-  (2.16e-44, 1.52e-157j)
| (0.024249498330703418842 - 1.7386855725103929974e-717j)  +/-  (4.3e-27, 3.02e-140j)
| (0.011148707211691035569 + 1.2668686570785518167e-717j)  +/-  (1.49e-29, 1.05e-142j)
| (2.9553653561034236868e-33 + 2.5829577933292569201e-733j)  +/-  (8.81e-63, 6.19e-176j)
| (1.0277570347257788108e-11 - 1.9622165314980433387e-721j)  +/-  (1.14e-47, 7.98e-161j)
| (1.6155353233229665749e-59 - 8.1759279236312179756e-747j)  +/-  (3.8e-73, 2.67e-186j)
| (0.046871363693551892761 + 2.2602174759614883704e-717j)  +/-  (2.38e-29, 1.67e-142j)
| (0.00015672519438315394382 + 2.3611637708243247619e-718j)  +/-  (1.65e-39, 1.16e-152j)
| (1.0680665632793731832e-10 + 3.627076500087212372e-721j)  +/-  (9.62e-47, 6.76e-160j)
| (4.0768031935505640716e-19 - 3.9023860013275495682e-725j)  +/-  (8.78e-54, 6.18e-167j)
| (1.7898944009486127573e-35 - 1.7932394991825260457e-734j)  +/-  (2.05e-64, 1.44e-177j)
| (3.6677240896145790518e-29 + 3.7880998295748387127e-731j)  +/-  (4.11e-61, 2.89e-174j)
| (0.12116856781655866025 + 3.1583844983026910648e-717j)  +/-  (7.81e-36, 5.49e-149j)
| (8.080899076018921939e-38 + 1.0847357183364368425e-735j)  +/-  (6.94e-66, 4.88e-179j)
| (0.0045630361699525804088 - 8.7900095146413601861e-718j)  +/-  (3.42e-43, 2.4e-156j)
| (9.2839955255749697394e-06 + 1.1330984254351393161e-718j)  +/-  (3.28e-47, 2.31e-160j)
| (0.0016641703525693664289 + 5.8415887804726015917e-718j)  +/-  (1.23e-44, 8.67e-158j)
| (1.0218966999360131165e-17 + 3.0758597607304554799e-724j)  +/-  (2.34e-55, 1.65e-168j)
| (0.17417486261775874785 - 2.5212164353301850323e-717j)  +/-  (7.75e-43, 5.45e-156j)
| (2.6394917101118952892e-40 - 5.6177904189218276328e-737j)  +/-  (2.78e-67, 1.95e-180j)
| (8.6370845534159779944e-13 + 1.3841488961711706091e-721j)  +/-  (4.78e-53, 3.36e-166j)
| (0.00054098756410171848447 - 3.7497196109508136759e-718j)  +/-  (1.04e-47, 7.32e-161j)
| (0.15995788330940462346 - 3.3186280444127209415e-717j)  +/-  (1.58e-45, 1.11e-158j)
| (0.18211562003584009074 + 3.1293648268512416938e-717j)  +/-  (1.45e-45, 1.02e-158j)
| (3.4289007073505869668e-07 - 5.1231317851294134651e-720j)  +/-  (3.49e-50, 2.45e-163j)
| (0.080263670466798375371 - 2.7658512918756883004e-717j)  +/-  (1.96e-46, 1.38e-159j)
| (0.061603532924512399144 - 4.9580349704759587129e-718j)  +/-  (4.38e-47, 3.08e-160j)
| (3.7281574865965771196e-31 - 3.2951338865873962065e-732j)  +/-  (5.42e-63, 3.81e-176j)
| (0.13146935117619051479 + 1.550099172863778062e-717j)  +/-  (1.11e-46, 7.84e-160j)
Starting with polynomial:
P : -t+1
Extension levels are: 1 48
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P1 : -t+1
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : -t^49 + 8769750693647547068517989057641628471050400969181427469905771009/3720622112675407553726433431351627224048859730507899347807489*t^48 - 9914443424365179571820710786492415973687732163676223673796076590208/3720622112675407553726433431351627224048859730507899347807489*t^47 + 152376100111158030424436271464446256530031304436735272135417711322752/79162172610115054334604966624502706894656590010806369102287*t^46 - 79046311630941376290994131114530493290840425165571934852074654492024448/79162172610115054334604966624502706894656590010806369102287*t^45 + 31381694852747462567421897222869411335304187565064918851527902576196800640/79162172610115054334604966624502706894656590010806369102287*t^44 - 9921881741041610123135817953778215251802608948018287185716890613487913815040/79162172610115054334604966624502706894656590010806369102287*t^43 + 2566923541592044108766423582333938846400379953874266866689299787727402084807680/79162172610115054334604966624502706894656590010806369102287*t^42 - 554128162657734432759131786818385551244202305394648578508679487941101011113904640/79162172610115054334604966624502706894656590010806369102287*t^41 + 101280191051891699728753791004858142611868901871532869667299026054338764323232258560/79162172610115054334604966624502706894656590010806369102287*t^40 - 15849848844558204687101648079035385873282420592341109218458528884428568144634790297600/79162172610115054334604966624502706894656590010806369102287*t^39 + 2142517535523426782924880988862124203681882498404128643665177625986165691843384512921600/79162172610115054334604966624502706894656590010806369102287*t^38 - 251909800415399755217907417716913991362234121850373972642679188096703190884725591218995200/79162172610115054334604966624502706894656590010806369102287*t^37 + 25906042356374265702496641551337691909537733569876046113585720042700591013510481782727065600/79162172610115054334604966624502706894656590010806369102287*t^36 - 2340580162132829900052693755068686028423708778926842519809887817237109849708724268109014630400/79162172610115054334604966624502706894656590010806369102287*t^35 + 186445079600839434964398703199772433806433834769788036283573633292578140723619054847055773696000/79162172610115054334604966624502706894656590010806369102287*t^34 - 13130915804003379929586364168397257164817964116574780858381464435821411092177434941777994223616000/79162172610115054334604966624502706894656590010806369102287*t^33 + 819387596873847913751851181843254768822050595162015151044363834138274241299583833121318316511232000/79162172610115054334604966624502706894656590010806369102287*t^32 - 45375953093943712039298140371780765573732249307385570821792478837431408187581485760513964513427456000/79162172610115054334604966624502706894656590010806369102287*t^31 + 2232446307333363708518294686820838318604498538481865294015823818076989165693963205304222597915869184000/79162172610115054334604966624502706894656590010806369102287*t^30 - 97642110210129269180359780741367069346191651552952665398875946399312117171827143650357591950156103680000/79162172610115054334604966624502706894656590010806369102287*t^29 + 3797480898686013391070966132583084974890814796343818626137166164215206005110724672150626925811261767680000/79162172610115054334604966624502706894656590010806369102287*t^28 - 131306734886462285893354185152727041303483466044327353910580401412489728899880402167910102394652600565760000/79162172610115054334604966624502706894656590010806369102287*t^27 + 4034382974914535440387535856535309333283278520542852730687441808055570286275890600228465876957335000186880000/79162172610115054334604966624502706894656590010806369102287*t^26 - 110044726103177959632069382490611380734157541438934513037875047691332292139960928251357979727121211950366720000/79162172610115054334604966624502706894656590010806369102287*t^25 + 2661358293656579275663912625553622047854235113731133520701345444727483863745440114907020931331937201553408000000/79162172610115054334604966624502706894656590010806369102287*t^24 - 56970796092562181033193393722037258329085009780677262619328817906572169393050370982820507877840238619394048000000/79162172610115054334604966624502706894656590010806369102287*t^23 + 1077245215675022997505964447078504344226629049789941355898453505105048422286807721115096331685274488433278976000000/79162172610115054334604966624502706894656590010806369102287*t^22 - 17947494984824273121430136288132616490954454075534951938835327497220150267419261658871330912586813088011911168000000/79162172610115054334604966624502706894656590010806369102287*t^21 + 262684493018079606314255628484604452723525353381831194966856820108013393543843225002211535464300748906883448832000000/79162172610115054334604966624502706894656590010806369102287*t^20 - 3365910485857982859621212114501413510553359194866802530138536156317558877062534555662534310105130512545281474560000000/79162172610115054334604966624502706894656590010806369102287*t^19 + 37606430464379799556577356609595412543342687239224213171598460561549668010154340629388330576163547053308415836160000000/79162172610115054334604966624502706894656590010806369102287*t^18 - 364664940625572889415111376827630360203936286686628329693494085456535054930683571365564638676246822517654390046720000000/79162172610115054334604966624502706894656590010806369102287*t^17 + 3052582404212054215286195702942968838469289485060491630184728363127658771021885887125073707505881948298246944194560000000/79162172610115054334604966624502706894656590010806369102287*t^16 - 21922514558221464680024922008653294942467997241852545668054994656852614163274590557001168568802082425401994630922240000000/79162172610115054334604966624502706894656590010806369102287*t^15 + 134105652317793350255375154825949922289016204588957672960168961793018362594319839011524061807002572173673524258406400000000/79162172610115054334604966624502706894656590010806369102287*t^14 - 692973537922665216757657193357478275271796546503811118295470548756358452534649799741554439768177345446486340953702400000000/79162172610115054334604966624502706894656590010806369102287*t^13 + 2995485271823125693429524099338611432136522235025330126341328038164736792693219531409543092945967521555618602994892800000000/79162172610115054334604966624502706894656590010806369102287*t^12 - 10708170012561341873521097684925072627192276088700690221518222119593667113837631436834724290351256067504253371311718400000000/79162172610115054334604966624502706894656590010806369102287*t^11 + 31227392752542481637371110933667342973085969965324018323691140941161261068126991617983971472725784548707162931173785600000000/79162172610115054334604966624502706894656590010806369102287*t^10 - 73080004049896871860185502112187113077592323754005763618218212624342605290996919381137701008981359655842567352745984000000000/79162172610115054334604966624502706894656590010806369102287*t^9 + 134522283504718066092253692148943301622440183662702926722046204989227968069409393587867154639707533978860863843467264000000000/79162172610115054334604966624502706894656590010806369102287*t^8 - 189968758907139969296716453802599566039679139094714913380055324935468240766395161136648655934161306541912859636400128000000000/79162172610115054334604966624502706894656590010806369102287*t^7 + 199362973749165148593564421524038549242163300413959139131766787701089906494360257445678001591852221023701916528410624000000000/79162172610115054334604966624502706894656590010806369102287*t^6 - 149113570832568918713672105988709151141513518350179908852818383475902945980242226642056481955874171009221379055681536000000000/79162172610115054334604966624502706894656590010806369102287*t^5 + 75062211847173225977712451415921938481506449493854835483641583189901800662428619652229322661745544090381469215621120000000000/79162172610115054334604966624502706894656590010806369102287*t^4 - 23402974264203805759631443306011560848678202865255555340732621450771697855942184368303203792542954148048678284165120000000000/79162172610115054334604966624502706894656590010806369102287*t^3 + 3963322934675211206375690126496213340133498263328632521962175107258606165277709263197978851495933249569553215651840000000000/79162172610115054334604966624502706894656590010806369102287*t^2 - 287102105463892910572042344213723415486604629371616062052927069193907267433732289762200670049168684622517549137920000000000/79162172610115054334604966624502706894656590010806369102287*t + 4978108157241868447879806351416919441403083063928831577054548560195864376074601515467410254564821737025285652480000000000/79162172610115054334604966624502706894656590010806369102287
-------------------------------------------------
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: 0
  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
Positive weights:   48 out of 49
Indefinite weights: 1 out of 49
Negative weights:   0 out of 49
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (175.02495922611125831 + 7.8024408093298161846e-710j)  +/-  (1.35e-238, 1.35e-238j)
| (128.51648267320194635 - 5.1010876512713200902e-702j)  +/-  (7.49e-234, 7.49e-234j)
| (120.24910039749933789 - 8.7847775276542436218e-702j)  +/-  (3.38e-233, 3.38e-233j)
| (159.88560864808727191 - 2.4811269723168631984e-709j)  +/-  (6.36e-237, 6.36e-237j)
| (105.62453126988803966 + 1.4953546804303070336e-704j)  +/-  (3.83e-232, 3.83e-232j)
| (46.991278512402991579 - 1.0551417146179187436e-705j)  +/-  (2.59e-231, 2.59e-231j)
| (13.717174928029165656 + 3.0690863691859388909e-713j)  +/-  (1.33e-237, 1.33e-237j)
| (37.170584413282013453 - 2.5632650110579806055e-707j)  +/-  (3.57e-232, 3.57e-232j)
| (34.211913161842863542 + 2.1383346294830973456e-708j)  +/-  (1.7e-232, 1.7e-232j)
| (147.90684850154053144 - 2.5289347949590299577e-711j)  +/-  (1.16e-235, 1.16e-235j)
| (31.400889686227108296 + 2.279408029149079321e-708j)  +/-  (5.93e-233, 5.93e-233j)
| (50.602907328891956924 - 3.3787304468092186843e-707j)  +/-  (4.29e-231, 4.29e-231j)
| (54.397360805822251054 - 1.1442421172700514002e-708j)  +/-  (5.55e-231, 5.55e-231j)
| (10.513401000319990017 + 2.8737802329824802755e-724j)  +/-  (3.51e-239, 3.51e-239j)
| (99.065178756674141124 + 8.7795557101751571192e-715j)  +/-  (9.63e-232, 9.63e-232j)
| (62.575879876972546768 - 8.6891854005581863046e-724j)  +/-  (8.81e-231, 8.81e-231j)
| (17.386306448173883818 + 9.4568730121895052901e-748j)  +/-  (3.31e-236, 3.31e-236j)
| (19.401294781059163131 + 6.9332377684538712652e-747j)  +/-  (1.54e-235, 1.54e-235j)
| (112.65789220561928668 + 1.0258424797834309859e-742j)  +/-  (1.26e-232, 1.26e-232j)
| (58.384572526358034899 - 1.8305829152120427515e-767j)  +/-  (7.63e-231, 7.63e-231j)
| (21.540193124592499792 + 9.4476054808705107873e-791j)  +/-  (5.47e-235, 5.47e-235j)
| (3.5472916448414472806 - 4.2161998689447295416e-808j)  +/-  (9.34e-245, 9.34e-245j)
| (4.441379283817820512 - 3.7351392828797260835e-809j)  +/-  (9.95e-244, 9.95e-244j)
| (76.515548917623913378 + 6.4184642422111762398e-797j)  +/-  (7.46e-231, 7.46e-231j)
| (26.202265812987844262 + 4.9060660291399258166e-815j)  +/-  (7.35e-234, 7.35e-234j)
| (137.63793266456465498 - 5.64282983162016407e-812j)  +/-  (1.13e-234, 1.13e-234j)
| (2.7571801280263505629 + 2.0807405816599639256e-832j)  +/-  (8.66e-246, 8.66e-246j)
| (9.0808928447603568035 - 1.212854474558239943e-826j)  +/-  (5.23e-240, 5.23e-240j)
| (23.806061480842672492 - 1.9864967012878951486e-820j)  +/-  (2.07e-234, 2.07e-234j)
| (43.553716315426443636 + 4.5837944134385098282e-817j)  +/-  (1.45e-231, 1.45e-231j)
| (81.676917649281764867 - 2.0461462027659190116e-831j)  +/-  (5.5e-231, 5.5e-231j)
| (66.984315037543762183 - 1.6471369478511064837e-855j)  +/-  (9.21e-231, 9.21e-231j)
| (1.4846682722953578813 - 4.4177126485100340771e-902j)  +/-  (4.54e-248, 4.54e-248j)
| (87.134127785288441723 + 5.3354135653264415256e-884j)  +/-  (3.72e-231, 3.72e-231j)
| (5.4405411036271217741 - 4.1117401713297584607e-914j)  +/-  (1.03e-242, 1.03e-242j)
| (12.058192886193335108 - 4.7883769823307685372e-909j)  +/-  (2.21e-238, 2.21e-238j)
| (6.5459616284590378905 + 2.2918477409091041409e-912j)  +/-  (8.85e-242, 8.85e-242j)
| (40.282456829961820146 + 9.1354190901157234387e-901j)  +/-  (7.5e-232, 7.5e-232j)
| (0.32576608667439663366 - 1.5802273559345838772e-937j)  +/-  (8.19e-252, 8.19e-252j)
| (92.917638209950740904 + 1.1290850533057516034e-915j)  +/-  (1.95e-231, 1.95e-231j)
| (28.732512672737261527 + 2.6106690437778199482e-933j)  +/-  (2.17e-233, 2.17e-233j)
| (7.7589368795810477784 - 2.7685706431880634987e-941j)  +/-  (7.54e-241, 7.54e-241j)
| (1 - 9.1153793030097981608e-950j)  +/-  (2.79e-249, 2.79e-249j)
| (0.61444491492417320134 + 1.6723606681947807683e-951j)  +/-  (1.73e-250, 1.73e-250j)
| (15.492444301578110144 + 2.7174597379174990294e-937j)  +/-  (6.82e-237, 6.82e-237j)
| (2.0699946992801324063 + 6.7496258063919902125e-948j)  +/-  (6.43e-247, 6.43e-247j)
| (0.02453589470129850715 - 3.6229655827545597362e-957j)  +/-  (1.07e-254, 1.07e-254j)
| (71.62498143244993268 + 1.4580742253240677878e-930j)  +/-  (8.77e-231, 8.77e-231j)
| (0.13061732058854255856 - 2.1096211674058750896e-960j)  +/-  (2.54e-253, 2.54e-253j)
-------------------------------------------------
The weights are:
| (1.741284164572436816e-75 + 6.3435926195610894604e-755j)  +/-  (2.58e-72, 1.81e-185j)
| (1.3286489903107438335e-55 + 8.0851398258472021613e-745j)  +/-  (3.4e-66, 2.39e-179j)
| (4.7252259117059507669e-52 - 5.2539331580399930636e-743j)  +/-  (4.94e-65, 3.47e-178j)
| (4.8093020489242663138e-69 - 1.1741402495451250661e-751j)  +/-  (3.8e-71, 2.67e-184j)
| (9.1068122282287660997e-46 - 8.6813858628530596472e-740j)  +/-  (3.17e-63, 2.23e-176j)
| (1.376852153288246349e-20 + 8.541977349324847959e-726j)  +/-  (8.44e-50, 5.94e-163j)
| (1.8941574020322669461e-06 - 4.7160093304722368972e-719j)  +/-  (1.74e-28, 1.22e-141j)
| (2.1831235539851340591e-16 + 3.431689076621499701e-723j)  +/-  (5.69e-46, 4e-159j)
| (3.9989472309297558384e-15 - 2.4781361782678110421e-722j)  +/-  (9.51e-45, 6.69e-158j)
| (6.3970373180281505649e-64 + 4.7066175058352737112e-749j)  +/-  (4.85e-71, 3.41e-184j)
| (6.3145805743507375863e-14 - 4.4748705558099425021e-722j)  +/-  (6.54e-44, 4.6e-157j)
| (3.9067281149451305641e-22 + 5.7712821197222549234e-727j)  +/-  (2.49e-52, 1.75e-165j)
| (9.2336193888543299304e-24 - 4.209576887284637063e-728j)  +/-  (4.05e-54, 2.85e-167j)
| (4.0438241542335408624e-05 - 1.514183291535181586e-718j)  +/-  (1.08e-31, 7.6e-145j)
| (6.0108286045691625758e-43 + 2.4409826811330876305e-738j)  +/-  (1.93e-65, 1.36e-178j)
| (2.8632593274769258473e-27 - 4.0115726772941465461e-730j)  +/-  (1.02e-57, 7.16e-171j)
| (5.4972288304681550013e-08 - 1.4493400949069400524e-720j)  +/-  (2.93e-40, 2.06e-153j)
| (7.7883907795676529632e-09 + 1.251569789536958198e-720j)  +/-  (7.9e-42, 5.55e-155j)
| (8.6374175274895345747e-49 + 2.4488510654176537729e-741j)  +/-  (9.24e-68, 6.5e-181j)
| (1.8002483782729119814e-25 + 4.0546048027786449741e-729j)  +/-  (1.44e-56, 1.02e-169j)
| (9.7274835116841780648e-10 - 7.0173059744312764555e-721j)  +/-  (2.16e-44, 1.52e-157j)
| (0.024249498330703418842 - 1.7386855725103929974e-717j)  +/-  (4.3e-27, 3.02e-140j)
| (0.011148707211691035569 + 1.2668686570785518167e-717j)  +/-  (1.49e-29, 1.05e-142j)
| (2.9553653561034236868e-33 + 2.5829577933292569201e-733j)  +/-  (8.81e-63, 6.19e-176j)
| (1.0277570347257788108e-11 - 1.9622165314980433387e-721j)  +/-  (1.14e-47, 7.98e-161j)
| (1.6155353233229665749e-59 - 8.1759279236312179756e-747j)  +/-  (3.8e-73, 2.67e-186j)
| (0.046871363693551892761 + 2.2602174759614883704e-717j)  +/-  (2.38e-29, 1.67e-142j)
| (0.00015672519438315394382 + 2.3611637708243247619e-718j)  +/-  (1.65e-39, 1.16e-152j)
| (1.0680665632793731832e-10 + 3.627076500087212372e-721j)  +/-  (9.62e-47, 6.76e-160j)
| (4.0768031935505640716e-19 - 3.9023860013275495682e-725j)  +/-  (8.78e-54, 6.18e-167j)
| (1.7898944009486127573e-35 - 1.7932394991825260457e-734j)  +/-  (2.05e-64, 1.44e-177j)
| (3.6677240896145790518e-29 + 3.7880998295748387127e-731j)  +/-  (4.11e-61, 2.89e-174j)
| (0.12116856781655866025 + 3.1583844983026910648e-717j)  +/-  (7.81e-36, 5.49e-149j)
| (8.080899076018921939e-38 + 1.0847357183364368425e-735j)  +/-  (6.94e-66, 4.88e-179j)
| (0.0045630361699525804088 - 8.7900095146413601861e-718j)  +/-  (3.42e-43, 2.4e-156j)
| (9.2839955255749697394e-06 + 1.1330984254351393161e-718j)  +/-  (3.28e-47, 2.31e-160j)
| (0.0016641703525693664289 + 5.8415887804726015917e-718j)  +/-  (1.23e-44, 8.67e-158j)
| (1.0218966999360131165e-17 + 3.0758597607304554799e-724j)  +/-  (2.34e-55, 1.65e-168j)
| (0.17417486261775874785 - 2.5212164353301850323e-717j)  +/-  (7.75e-43, 5.45e-156j)
| (2.6394917101118952892e-40 - 5.6177904189218276328e-737j)  +/-  (2.78e-67, 1.95e-180j)
| (8.6370845534159779944e-13 + 1.3841488961711706091e-721j)  +/-  (4.78e-53, 3.36e-166j)
| (0.00054098756410171848447 - 3.7497196109508136759e-718j)  +/-  (1.04e-47, 7.32e-161j)
| (0.15995788330940462346 - 3.3186280444127209415e-717j)  +/-  (1.58e-45, 1.11e-158j)
| (0.18211562003584009074 + 3.1293648268512416938e-717j)  +/-  (1.45e-45, 1.02e-158j)
| (3.4289007073505869668e-07 - 5.1231317851294134651e-720j)  +/-  (3.49e-50, 2.45e-163j)
| (0.080263670466798375371 - 2.7658512918756883004e-717j)  +/-  (1.96e-46, 1.38e-159j)
| (0.061603532924512399144 - 4.9580349704759587129e-718j)  +/-  (4.38e-47, 3.08e-160j)
| (3.7281574865965771196e-31 - 3.2951338865873962065e-732j)  +/-  (5.42e-63, 3.81e-176j)
| (0.13146935117619051479 + 1.550099172863778062e-717j)  +/-  (1.11e-46, 7.84e-160j)
