Starting with polynomial:
P : t
Extension levels are: 1 4 12 18
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 12 Kronrod extension for:
P2 : t^5 - 10/9*t^3 + 5/21*t
Solvable: 1
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P3 : t^17 - 8857204/2038671*t^15 + 28927370/3714291*t^13 - 6039926464/813429729*t^11 + 9865688404/2440289187*t^9 - 11887949788/9490013505*t^7 + 122410578862/592447985955*t^5 - 5464102072/355468791573*t^3 + 39745277/118489597191*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^35 - 76268206239072074059187307411020211950692178101858193961865245497528777591161027999437304748780311435/8300604736320144452778462999646683776984367516037275033077875094241987391129945575067206054358877997*t^33 + 22727897642518781812900020776152671330003360639605405780186675924124191550911311670709637766308755105230/587833735417581138974038425156796969297347481363003386433424063492228016153657054816123046940505996333*t^31 - 6439947286613854183712200949633679832505146165928848001620728487301067639694937200355340367455965010819778/65249544631351506426118265192404463592005570431293375894110071047637309793055933084589658210396165592963*t^29 + 733774265698104418678951214441679434023866539235131218836609755399599733734148331497839469840378522012193026/4299719992776300992424551889058101031873194658420746252884287785242582724638961659470718511726450774074217*t^27 - 168289047238244987042121283422596880353145831349546879462209691692482504393694373835378516466209319694442438/796244443106722406004546646121870561457999010818656713497090330600478282340548455457540465134527921124855*t^25 + 1646515207564512742721527919273773338721670831857623700972312912806662837841218281406142570356269968011451436630/8516961311161254877777894353987916610049516896228538418815100044393888214277940045855350562656735755949454789*t^23 - 550116762082577219463953482001149105730628727760721718075661718985763613750166589755370990423269338010552044046010/4144797737209909819433390065399423939838445331282001327034670208560903947061434040576475602078993187667054237099*t^21 + 8299306691896459266973778220176571326871085284237755986995415032852124952942139443891149018314065692338975431557460/120593877020726423793990539521859429868632861781585848134199214163367252935930295180582218708107849412598578041309*t^19 - 2105908201643977513603026913548082278912303777819362538426563696317272963785855792602159194355491917464279563160280/78280235960822415445221929163312261493673962910853971595883700421834883484726682836518282319298077688879778728569*t^17 + 5533146427896403728174826322925727913689308296571764191228536267033656853074663555286446758728121737088473881040658/704522123647401739006997362469810353443065666197685744362953303796513951362540145528664540873682699199918008557121*t^15 - 1448518330058432336915942590932019314676939846371121739885777066059900179264430685489844302341580585231772680665190/861082595569046569897441220796434876430413592019393687554720704640183718331993511201701105512278854577677566014259*t^13 + 1989758211874725975740812216917317743559868022096160090268677323164531073749665359097014208106521516328302279770/7742001358762656472604366620547366521352369958216326861131354986774878586401540060754555394216293397801296797331*t^11 - 2386976306890085171315345939436867413741534652197705533549509605570978583460274126240634357284309590851332209690/88959977877102977204076590036100871915162137821768736951490475225394359606010148999991023303353258099263957539143*t^9 + 6571390326472991128800515981650181964678271329352877673055478927277024397215406517834158795495378210883179140130/3667127976933911615856934989265935942280572570208466823222551812069034157092196142110741071727117639425214249669117*t^7 - 180126447489698820918213807616776152791866784666153772364169764742300658780374084714720734961081580765497121302/2619377126381365439897810706618525673057551835863190588016108437192167255065854387221957908376512599589438749763655*t^5 + 1960123576426401638946220490579720109073507901432202151665792626523452284384278868916889983772902842723666843/1571626275828819263938686423971115403834531101517914352809665062315300353039512632333174745025907559753663249858193*t^3 - 1993915088600883915032944028824345043332850700916128370123640119731806274159433379060546915707186554863861/293881336130592220086095835376712636489383864511479919631075580758145594470803175151731862891023364831985810949093*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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (0.96827060709476223499 + 7.2669861498845504906e-411j)  +/-  (6e-115, 6e-115j)
| (0.99903910605690893191 + 1.4463023643147083065e-418j)  +/-  (1.52e-114, 1.52e-114j)
| (-0.9061798459386639928 - 1.4241076668693211851e-439j)  +/-  (7.58e-116, 7.58e-116j)
| (0.9962698516849579968 + 1.3164785718299234242e-434j)  +/-  (2.33e-114, 2.33e-114j)
| (0.9414572212778081496 + 1.5018442496203248928e-440j)  +/-  (2.33e-115, 2.33e-115j)
| (0.9061798459386639928 + 5.3181047729910294342e-442j)  +/-  (7.86e-116, 7.86e-116j)
| (-0.98653916283166634538 + 1.7654744077796881077e-437j)  +/-  (1.21e-114, 1.21e-114j)
| (-0.9414572212778081496 - 1.5380285431318491579e-443j)  +/-  (2.27e-115, 2.27e-115j)
| (-0.4563726808492347992 - 1.066016183356872573e-450j)  +/-  (1.23e-121, 1.23e-121j)
| (0.28058048480296907582 - 7.6136321031970213797e-454j)  +/-  (4.03e-124, 4.03e-124j)
| (0.81141684513575577466 + 1.8130475935353429911e-446j)  +/-  (5.12e-117, 5.12e-117j)
| (-0.99903910605690893191 + 6.73168229520330122e-441j)  +/-  (1.54e-114, 1.54e-114j)
| (-0.9962698516849579968 - 2.2835340187616784711e-449j)  +/-  (2.24e-114, 2.24e-114j)
| (-0.81141684513575577466 - 1.1645229094830087652e-455j)  +/-  (5.28e-117, 5.28e-117j)
| (-0.28058048480296907582 - 6.3567769650143416186e-464j)  +/-  (4.16e-124, 4.16e-124j)
| (0.53846931010568309104 - 1.3383698607483073712e-460j)  +/-  (1.44e-120, 1.44e-120j)
| (0.61569611666508846808 - 1.6496558176503251665e-458j)  +/-  (1.61e-119, 1.61e-119j)
| (-0.61569611666508846808 + 8.9720407944258467183e-459j)  +/-  (1.58e-119, 1.58e-119j)
| (-0.7527896999237452831 - 6.0634292037584484666e-457j)  +/-  (1.02e-117, 1.02e-117j)
| (-0.96827060709476223499 - 2.798600476770563915e-455j)  +/-  (5.97e-115, 5.97e-115j)
| (0.98653916283166634538 - 4.268213064376713588e-458j)  +/-  (1.33e-114, 1.33e-114j)
| (0.7527896999237452831 - 8.7811525024767982956e-471j)  +/-  (9.87e-118, 9.87e-118j)
| (0.094664836734182412342 - 1.8969300138678135253e-480j)  +/-  (9.04e-127, 9.04e-127j)
| (-0.86270316598264717982 + 4.4697562984397797707e-472j)  +/-  (2.29e-116, 2.29e-116j)
| (-0.53846931010568309104 - 8.5790809508250611448e-476j)  +/-  (1.58e-120, 1.58e-120j)
| (0.18847441760531908906 + 2.6250327223149488887e-480j)  +/-  (2.17e-125, 2.17e-125j)
| (0.86270316598264717982 + 8.5355599222924067887e-476j)  +/-  (2.2e-116, 2.2e-116j)
| (0.3701498540017078954 + 1.7210813021629373854e-483j)  +/-  (7.46e-123, 7.46e-123j)
| (-0.18847441760531908906 + 1.9195720593733087614e-488j)  +/-  (2.42e-125, 2.42e-125j)
| (-0.68735255126326749856 + 5.6279773693076556883e-481j)  +/-  (1.29e-118, 1.29e-118j)
| (-0.094664836734182412342 + 2.1452476197725448148e-488j)  +/-  (9.04e-127, 9.04e-127j)
| (0.4563726808492347992 - 4.8983753226035295021e-482j)  +/-  (1.2e-121, 1.2e-121j)
| (0.68735255126326749856 - 2.0837557845362983974e-482j)  +/-  (1.26e-118, 1.26e-118j)
| (1.7380228744639005048e-498 + 3.4309613964582116965e-500j)  +/-  (6.08e-497, 6.08e-497j)
| (-0.3701498540017078954 - 3.6761063203049510682e-489j)  +/-  (7.34e-123, 7.34e-123j)
-------------------------------------------------
The weights are:
| (0.022537603493684029961 + 3.4489155594043183827e-411j)  +/-  (9.79e-21, 1.82e-73j)
| (0.001752220734767239761 - 5.9833187365971311805e-411j)  +/-  (4.4e-21, 8.2e-74j)
| (0.039433612634689143448 - 5.5122694690993820163e-413j)  +/-  (1.54e-23, 2.86e-76j)
| (0.0054090493904166332983 + 1.1340265018597322534e-410j)  +/-  (4.91e-21, 9.14e-74j)
| (0.031075807599742544899 + 4.7342171349479992862e-411j)  +/-  (3.9e-22, 7.26e-75j)
| (0.039433612634689143448 - 1.664092340904411523e-411j)  +/-  (6.88e-23, 1.28e-75j)
| (0.014012949733628098753 + 1.1593729452998460958e-412j)  +/-  (1.88e-24, 3.49e-77j)
| (0.031075807599742544899 + 6.647040934527809742e-413j)  +/-  (2.63e-24, 4.9e-77j)
| (0.084286866791249255706 + 3.5631716132391050837e-413j)  +/-  (1.73e-25, 3.23e-78j)
| (0.090974896911894747558 + 6.8597771254265759467e-413j)  +/-  (1.9e-25, 3.54e-78j)
| (0.055040230386415881427 - 4.8528217228964689428e-412j)  +/-  (4.44e-24, 8.27e-77j)
| (0.001752220734767239761 + 9.3578418591697286461e-413j)  +/-  (3.88e-25, 7.23e-78j)
| (0.0054090493904166332983 - 1.6162499871391681372e-412j)  +/-  (5.58e-25, 1.04e-77j)
| (0.055040230386415881427 - 4.2770619203089004488e-413j)  +/-  (2.68e-27, 4.99e-80j)
| (0.090974896911894747558 + 3.7773926777680212664e-413j)  +/-  (3.22e-28, 5.99e-81j)
| (0.079782338742165290259 - 1.2449475855724134288e-412j)  +/-  (2.48e-28, 4.62e-81j)
| (0.074554363102368184937 + 1.6193706126822095059e-412j)  +/-  (2.8e-28, 5.21e-81j)
| (0.074554363102368184937 + 3.6045502722421736669e-413j)  +/-  (5.75e-29, 1.07e-81j)
| (0.062125593932451223063 + 3.9461087627251553197e-413j)  +/-  (1.37e-28, 2.54e-81j)
| (0.022537603493684029961 - 8.4573698209054979382e-413j)  +/-  (3.78e-27, 7.03e-80j)
| (0.014012949733628098753 - 1.2405762123347846928e-410j)  +/-  (2.9e-27, 5.4e-80j)
| (0.062125593932451223063 + 3.151783259534003599e-412j)  +/-  (2.19e-29, 4.08e-82j)
| (0.094379417795063280916 + 5.2126485898478086178e-413j)  +/-  (2.59e-31, 4.81e-84j)
| (0.047454030419592221716 + 4.7714504049175964668e-413j)  +/-  (7.4e-29, 1.38e-81j)
| (0.079782338742165290259 - 3.5512438531672346691e-413j)  +/-  (3.03e-30, 5.64e-83j)
| (0.093098230289087027303 - 5.9169196085129532795e-413j)  +/-  (2.13e-31, 3.97e-84j)
| (0.047454030419592221716 + 8.2756581588264545997e-412j)  +/-  (3.36e-30, 6.25e-83j)
| (0.088028754253231453187 - 8.1403918982312589273e-413j)  +/-  (9.51e-32, 1.77e-84j)
| (0.093098230289087027303 - 3.988771307102483061e-413j)  +/-  (1.38e-32, 2.57e-85j)
| (0.068650233756343702811 - 3.7310347222583691329e-413j)  +/-  (2.03e-31, 3.77e-84j)
| (0.094379417795063280916 + 4.2841735246989248996e-413j)  +/-  (6.22e-33, 1.16e-85j)
| (0.084286866791249255706 + 9.9165248823597871648e-413j)  +/-  (7.47e-33, 1.39e-85j)
| (0.068650233756343702811 - 2.1989286068526898509e-412j)  +/-  (1.02e-32, 1.89e-85j)
| (0.094807600066420081995 - 4.6826165513131918092e-413j)  +/-  (2.37e-33, 4.49e-86j)
| (0.088028754253231453187 - 3.6378234448662070609e-413j)  +/-  (1.95e-33, 3.36e-86j)
