Starting with polynomial:
P : t
Extension levels are: 1 30 32
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P2 : t^31 - 465/61*t^29 + 94395/3599*t^27 - 3681405/68381*t^25 + 55221075/752191*t^23 - 254016945/3624193*t^21 + 2963531025/61611281*t^19 - 544322025/22698893*t^17 + 544322025/62755763*t^15 - 20160075/8965109*t^13 + 157248585/385499687*t^11 - 786242925/15805487167*t^9 + 60480225/15805487167*t^7 - 97698825/584803025179*t^5 + 13956975/4093621176253*t^3 - 930465/45029832938783*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^63 - 62433/3965*t^61 + 1971860877/16701425*t^59 - 4510836030183/8040745375*t^57 + 2729757154081992867/1439401337391875*t^55 - 159746877204889147222329/32907985939454153125*t^53 + 10337250824100938199456049713/1057280811276079796453125*t^51 - 449833894656241368285292311819/28297809948859782787421875*t^49 + 98569096924696187964544498477911351741/4641156817086526180697413047265625*t^47 - 31374484229921027547943195239820105166113/1328654573912749143857099841509765625*t^45 + 3693274061266804916628060096281026527739675070059/167504756903429810853715377692150756435546875*t^43 - 180631122886827664038688893695168188427581152648949/10381399468549777812212825152315855020947265625*t^41 + 1825682811303346590929613613943349300013307078400670795769/156662712828501000753633133391338286035506110595703125*t^39 - 74229168092236183372216113892584238479911680641942323456308867/11177623455792165568770468012249667811489968480819091796875*t^37 + 4240057362429851127184279444565450137817484332585925591488712941/1315636490539861650053929410631008197811859803620733642578125*t^35 - 2475308844063590615669546738874739591651915241906020751977871953739879/1859295875039928615262584869778316791146403266082483388641357421875*t^33 + 50803406020041547255798654716446361008056056525329783244009885763546450130893/108726462099435804745964600261570894887863328006347361141504684906005859375*t^31 - 97424445122425825737771594247340618770026316197643043582893719167126994979/701461045802811643522352259752070289599118245202241039622610870361328125*t^29 + 154036152645660659772881359002695554630379126545742607166500400208629726481/4426461082134983819468636673607891827470297892138279663825441009521484375*t^27 - 2126393768287681496323136862127020245215805915436312839090139210262457007/291149614098064710533611553782458882743308334042540133963992218017578125*t^25 + 32406979339271291566682114786188015259423835564996372933971978658328236279/25446476272170855700637649800586906351765148395318007708452919854736328125*t^23 - 1010167254423523217275415408317467518715425906294748857763289731955818009/5531842667863229500138619521866718772122858346808262545315852142333984375*t^21 + 1246156371939261336650953115810368715418732457882533100165332390818421729/58637532279350232701469366931787218984502298476167582980348032708740234375*t^19 - 103594520217021197264403537865786335430620067169979230972798703233655039/52465160460471260838156801991599090670344161794465732140311397686767578125*t^17 + 3098201093221736882472630129782409636004745700990512263967453404812669/21603301366076401521593977290658449099553478385956477940128222576904296875*t^15 - 1149306231713351259707130645819940893995964297536075033971516278436761/145050737743655838787845276094421015382716212019993494740860923016357421875*t^13 + 197076704957270155690432408484270092373911299705607843514295976935699/613676198146236241025499245014858142003799358546126323903642366607666015625*t^11 - 189483052455767447452638362894519760396667568500799288806552999149/20860139541729769457783768802876600874437448551370301919254246453857421875*t^9 + 6943723334223740871719244562974629277603225629292527507522756671803/41629561732429225732111594239098831414839552849738132990627084905694580078125*t^7 - 111387054316412410968669251278973342559819436407999202893288898227/62724865251827323946766526090717646255782506854457186905014933860601806640625*t^5 + 25649265831582211792106216161230401901761777159686244357511035193/2860545599042636796735096689858076844362546417246291709784518262805584716796875*t^3 - 58358515889653926251524930386245780070105416927209292345751813717/4305121126559168379086320518236405650765632357955669023225699985522404998779296875*t
-------------------------------------------------
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: 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:
| (0.984685909665152484 + 3.7054477226512353389e-815j)  +/-  (9.41e-233, 9.41e-233j)
| (-0.99708748181947707406 - 2.0414999357315144003e-814j)  +/-  (7.58e-233, 7.58e-233j)
| (-0.94781995826212750486 - 1.3004923003584261489e-823j)  +/-  (3.27e-233, 3.27e-233j)
| (-0.984685909665152484 - 1.5096968860967797638e-833j)  +/-  (1.01e-232, 1.01e-232j)
| (0.93075699789664816496 - 5.6199334265812941926e-849j)  +/-  (1.76e-233, 1.76e-233j)
| (0.94781995826212750486 - 3.1218914420691836944e-849j)  +/-  (3.34e-233, 3.34e-233j)
| (-0.99215359093269407013 - 2.2471523290472831404e-846j)  +/-  (9.1e-233, 9.1e-233j)
| (-0.91138346198759297483 - 4.1823550539268680758e-855j)  +/-  (7.71e-234, 7.71e-234j)
| (0.99708748181947707406 + 1.0119181310045588558e-858j)  +/-  (7.29e-233, 7.29e-233j)
| (-0.99951646287922834075 + 1.9882208450556707073e-859j)  +/-  (2.89e-233, 2.89e-233j)
| (0.86592260904355944983 - 1.8573136885489488864e-869j)  +/-  (1.07e-234, 1.07e-234j)
| (0.96250392509294966179 - 2.7993907758232219953e-867j)  +/-  (5.61e-233, 5.61e-233j)
| (-0.88976002994827104337 - 1.2073994169014617126e-867j)  +/-  (3.21e-234, 3.21e-234j)
| (-0.86592260904355944983 - 8.1096818343675484771e-874j)  +/-  (1.14e-234, 1.14e-234j)
| (-0.97478836251603252242 - 1.5128109637071175877e-875j)  +/-  (7.85e-233, 7.85e-233j)
| (0.83992032014626734009 - 4.70636699428315135e-901j)  +/-  (3.37e-235, 3.37e-235j)
| (0.91138346198759297483 + 1.6246365801673021864e-899j)  +/-  (8.08e-234, 8.08e-234j)
| (0.99215359093269407013 + 2.2506404485410273877e-897j)  +/-  (9.37e-233, 9.37e-233j)
| (-0.78173314841662494041 + 1.2327816049053694506e-904j)  +/-  (2.21e-236, 2.21e-236j)
| (-0.96250392509294966179 - 1.2412427150124660882e-899j)  +/-  (5.44e-233, 5.44e-233j)
| (0.78173314841662494041 - 7.4664369287600693385e-921j)  +/-  (2.35e-236, 2.35e-236j)
| (0.74969091102660891198 - 6.7139743834018979872e-921j)  +/-  (4.84e-237, 4.84e-237j)
| (0.99951646287922834075 + 6.5783476618660153837e-916j)  +/-  (2.87e-233, 2.87e-233j)
| (-0.83992032014626734009 - 1.8441733232319773343e-918j)  +/-  (3.51e-235, 3.51e-235j)
| (-0.74969091102660891198 + 8.3033587847475429416e-924j)  +/-  (4.87e-237, 4.87e-237j)
| (0.19812119933557062877 - 1.5818668871425177255e-939j)  +/-  (2.09e-250, 2.09e-250j)
| (0.68008368785075080687 - 9.7573570929274876322e-928j)  +/-  (1.54e-238, 1.54e-238j)
| (0.81183107510292037795 + 1.3980689292769759426e-924j)  +/-  (9.61e-236, 9.61e-236j)
| (-0.34197468536418147576 - 7.3335134197052940676e-935j)  +/-  (1.24e-246, 1.24e-246j)
| (-0.68008368785075080687 + 9.627718488627732752e-926j)  +/-  (1.64e-238, 1.64e-238j)
| (-0.19812119933557062877 + 3.9556916751498025267e-939j)  +/-  (2.14e-250, 2.14e-250j)
| (0.43383168420610313417 + 3.1936460211132736721e-933j)  +/-  (2.84e-244, 2.84e-244j)
| (0.71577678458685328391 + 2.8378107635147719685e-926j)  +/-  (9.87e-238, 9.87e-238j)
| (-0.93075699789664816496 - 5.4677788451908394001e-923j)  +/-  (1.72e-233, 1.72e-233j)
| (-0.64270672292426034618 + 5.9403344512216821493e-932j)  +/-  (2.43e-239, 2.43e-239j)
| (-0.81183107510292037795 - 1.6107377576707816524e-928j)  +/-  (9.64e-236, 9.64e-236j)
| (0.97478836251603252242 - 1.7459522501175797169e-929j)  +/-  (8.39e-233, 8.39e-233j)
| (0.64270672292426034618 - 2.2821294816868196246e-937j)  +/-  (2.39e-239, 2.39e-239j)
| (0.60373148850052275858 + 1.3046104593380189904e-938j)  +/-  (3.04e-240, 3.04e-240j)
| (-0.71577678458685328391 + 7.4170369348186425019e-938j)  +/-  (1e-237, 1e-237j)
| (-0.52136680191932712115 - 3.2682554678995521107e-942j)  +/-  (3.55e-242, 3.55e-242j)
| (-0.099555312152341520325 - 7.6860451104493827659e-953j)  +/-  (4.26e-253, 4.26e-253j)
| (0.52136680191932712115 + 7.5163850692720020654e-941j)  +/-  (3.68e-242, 3.68e-242j)
| (0.56324916140714926272 + 8.7351322313004935653e-941j)  +/-  (3.52e-241, 3.52e-241j)
| (0.049841807833068683363 - 3.3213407997311196495e-954j)  +/-  (1.98e-254, 1.98e-254j)
| (-0.56324916140714926272 + 3.3147587321720927306e-941j)  +/-  (3.67e-241, 3.67e-241j)
| (-0.60373148850052275858 - 1.7429874152082832379e-940j)  +/-  (3.13e-240, 3.13e-240j)
| (0.88976002994827104337 - 9.5177015971515920457e-949j)  +/-  (3.1e-234, 3.1e-234j)
| (0.47819378204490248044 - 2.1317117075933237902e-957j)  +/-  (3.71e-243, 3.71e-243j)
| (0.24672863235911349955 - 7.8517880289749617361e-963j)  +/-  (4.19e-249, 4.19e-249j)
| (-0.14902127365172185365 - 4.9472764548197856971e-965j)  +/-  (9.77e-252, 9.77e-252j)
| (-0.47819378204490248044 + 3.040438096399523751e-957j)  +/-  (3.47e-243, 3.47e-243j)
| (6.4683300166000443329e-1006 + 2.0593677001955867001e-1006j)  +/-  (4.28e-1004, 4.28e-1004j)
| (0.34197468536418147576 + 9.7384613286268890676e-961j)  +/-  (1.29e-246, 1.29e-246j)
| (0.29471806998170161662 - 5.0234177883543127449e-962j)  +/-  (7.59e-248, 7.59e-248j)
| (-0.049841807833068683363 - 5.0381275364852516561e-968j)  +/-  (1.98e-254, 1.98e-254j)
| (-0.43383168420610313417 + 3.2518245447459736941e-958j)  +/-  (2.57e-244, 2.57e-244j)
| (-0.29471806998170161662 - 2.04072172865322054e-961j)  +/-  (8.1e-248, 8.1e-248j)
| (0.099555312152341520325 + 2.5852674177934624103e-967j)  +/-  (4.48e-253, 4.48e-253j)
| (0.38838590160823294306 + 6.5416502018472381448e-960j)  +/-  (1.93e-245, 1.93e-245j)
| (0.14902127365172185365 + 2.7971474500597106367e-965j)  +/-  (9.55e-252, 9.55e-252j)
| (-0.24672863235911349955 - 1.1122413613093580887e-963j)  +/-  (4.59e-249, 4.59e-249j)
| (-0.38838590160823294306 - 2.768226610380871766e-958j)  +/-  (1.95e-245, 1.95e-245j)
-------------------------------------------------
The weights are:
| (0.0086975909334506636024 - 6.2078350658322171374e-816j)  +/-  (8.61e-44, 2.97e-153j)
| (0.0036471327267774589777 - 6.0468829450863989519e-815j)  +/-  (4.21e-44, 1.45e-153j)
| (0.015882337757067343511 + 6.3079958228769836374e-815j)  +/-  (1.17e-44, 4.03e-154j)
| (0.0086975909334506636024 - 1.3552655256728506125e-814j)  +/-  (1.2e-44, 4.16e-154j)
| (0.018230887045973172022 - 1.4455651532909902562e-815j)  +/-  (7.57e-46, 2.61e-155j)
| (0.015882337757067343511 + 1.7695455705613794567e-815j)  +/-  (8.16e-46, 2.82e-155j)
| (0.0062174417479777137938 + 2.4549773503843242938e-814j)  +/-  (1.23e-44, 4.23e-154j)
| (0.02050575080286103324 + 4.699419430592744117e-815j)  +/-  (1.07e-46, 3.69e-156j)
| (0.0036471327267774589777 + 1.1152866119385127812e-815j)  +/-  (1.25e-47, 4.32e-157j)
| (0.001302462712673162379 - 1.0438938762897738882e-814j)  +/-  (6.23e-45, 2.15e-154j)
| (0.024930935380647995087 + 1.0453396813997866497e-815j)  +/-  (2.82e-48, 9.75e-158j)
| (0.013482352500295706051 - 2.4140777425939528396e-815j)  +/-  (4.13e-47, 1.43e-156j)
| (0.02273603864057332809 - 4.1742859712279121384e-815j)  +/-  (9.77e-48, 3.38e-157j)
| (0.024930935380647995087 + 3.7515258350672351308e-815j)  +/-  (1.91e-48, 6.6e-158j)
| (0.011090649453592384636 + 9.7058670274939609804e-815j)  +/-  (8.09e-47, 2.79e-156j)
| (0.027059974235899594821 - 9.8500502546246766146e-816j)  +/-  (1.46e-49, 5.04e-159j)
| (0.02050575080286103324 + 1.2549957210469991428e-815j)  +/-  (1.45e-48, 5.02e-158j)
| (0.0062174417479777137938 - 3.051617947046071656e-815j)  +/-  (1.11e-48, 3.85e-158j)
| (0.031080494363083816348 - 2.8773466309215365201e-815j)  +/-  (3.32e-51, 1.15e-160j)
| (0.013482352500295706051 - 7.6421703701135607497e-815j)  +/-  (1.79e-47, 6.17e-157j)
| (0.031080494363083816348 - 9.1313285865352356895e-816j)  +/-  (2.26e-51, 7.81e-161j)
| (0.032992186512398751198 + 8.9262940186489343608e-816j)  +/-  (4.88e-52, 1.68e-161j)
| (0.001302462712673162379 - 3.1561075099614879567e-816j)  +/-  (2.56e-49, 8.85e-159j)
| (0.027059974235899594821 - 3.4059261809241495113e-815j)  +/-  (7.44e-51, 2.57e-160j)
| (0.032992186512398751198 + 2.6678900137079240588e-815j)  +/-  (8.72e-53, 3.01e-162j)
| (0.048875216161656699205 - 1.0284163182532413739e-815j)  +/-  (3.48e-57, 1.2e-166j)
| (0.03654994258765553367 + 8.7292636400278092188e-816j)  +/-  (3.87e-54, 1.34e-163j)
| (0.029105163376721684301 + 9.4276698606620474123e-816j)  +/-  (1.75e-51, 6.04e-161j)
| (0.046853267300563534252 + 1.524673365324113577e-815j)  +/-  (1.24e-57, 4.27e-167j)
| (0.03654994258765553367 + 2.3271950959754093557e-815j)  +/-  (1.88e-55, 6.5e-165j)
| (0.048875216161656699205 - 1.3454588518901404725e-815j)  +/-  (4.37e-58, 1.51e-167j)
| (0.044922646951730629726 + 9.161845648987543266e-816j)  +/-  (5.34e-58, 1.84e-167j)
| (0.034820138039250891942 - 8.7961617604567243911e-816j)  +/-  (2.92e-54, 1.01e-163j)
| (0.018230887045973172022 - 5.3788113683769243013e-815j)  +/-  (6.23e-52, 2.15e-161j)
| (0.038190087990940927334 - 2.1867585532985556658e-815j)  +/-  (9.15e-57, 3.16e-166j)
| (0.029105163376721684301 + 3.119808275313668947e-815j)  +/-  (7.5e-54, 2.59e-163j)
| (0.011090649453592384636 + 4.2985160508759704833e-815j)  +/-  (6.16e-53, 2.13e-162j)
| (0.038190087990940927334 - 8.7121019199634810977e-816j)  +/-  (9.72e-57, 3.36e-166j)
| (0.039745421778265877848 + 8.7348872413947149231e-816j)  +/-  (1.08e-57, 3.72e-167j)
| (0.034820138039250891942 - 2.485961401676512582e-815j)  +/-  (2.21e-56, 7.63e-166j)
| (0.04254519603685240922 + 1.8470755883023979781e-815j)  +/-  (3.34e-60, 1.15e-169j)
| (0.049609034824276536155 - 1.2475082980573739513e-815j)  +/-  (2.69e-62, 9.29e-172j)
| (0.04254519603685240922 + 8.8887142459030623396e-816j)  +/-  (2.94e-60, 1.01e-169j)
| (0.04120106253518957453 - 8.7944979226885392714e-816j)  +/-  (1.71e-59, 5.89e-169j)
| (0.049798300516199644387 + 1.1253593697192806402e-815j)  +/-  (8.62e-64, 2.98e-173j)
| (0.04120106253518957453 - 1.9483301084986388081e-815j)  +/-  (3.4e-61, 1.17e-170j)
| (0.039745421778265877848 + 2.0610586788395910379e-815j)  +/-  (1.39e-60, 4.8e-170j)
| (0.02273603864057332809 - 1.1310981906700844375e-815j)  +/-  (9.43e-59, 3.26e-168j)
| (0.043784195655173878598 - 9.0124694474350054054e-816j)  +/-  (2.95e-62, 1.02e-171j)
| (0.048318501632654154389 + 1.0012126650877222346e-815j)  +/-  (6.04e-65, 2.09e-174j)
| (0.049303350032647005699 + 1.2946214764200370342e-815j)  +/-  (1.91e-65, 6.6e-175j)
| (0.043784195655173878598 - 1.7552947877126152332e-815j)  +/-  (1.33e-64, 4.6e-174j)
| (0.049863717193775958397 - 1.1629441096772660343e-815j)  +/-  (6.02e-66, 2.08e-175j)
| (0.046853267300563534252 + 9.5385210562083450044e-816j)  +/-  (1.17e-65, 4.03e-175j)
| (0.047641436416032105188 - 9.7641298316960835584e-816j)  +/-  (8.94e-66, 3.09e-175j)
| (0.049798300516199644387 + 1.2036420613173559681e-815j)  +/-  (1.42e-66, 4.91e-176j)
| (0.044922646951730629726 + 1.6714084989676621237e-815j)  +/-  (4.01e-67, 1.38e-176j)
| (0.047641436416032105188 - 1.4602301129163298517e-815j)  +/-  (9.27e-68, 3.2e-177j)
| (0.049609034824276536155 - 1.0905487380404278968e-815j)  +/-  (1.14e-67, 3.92e-177j)
| (0.0459489447540288106 - 9.3370237120295213409e-816j)  +/-  (2.3e-67, 7.95e-177j)
| (0.049303350032647005699 + 1.0582192253964000378e-815j)  +/-  (8.88e-68, 3.06e-177j)
| (0.048318501632654154389 + 1.4005828992499719785e-815j)  +/-  (1.22e-68, 4.23e-178j)
| (0.0459489447540288106 - 1.5947336394803704574e-815j)  +/-  (1.06e-68, 3.61e-178j)
