Starting with polynomial:
P : t
Extension levels are: 1 86
-------------------------------------------------
Trying to find an order 86 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^87 - 87/4*t^85 + 1827/8*t^83 - 98687/64*t^81 + 481545/64*t^79 - 7237269/256*t^77 + 43572529/512*t^75 - 3454679085/16384*t^73 + 28730685555/65536*t^71 - 203406705425/262144*t^69 + 619730040165/524288*t^67 - 6556091477535/4194304*t^65 + 1893981982399/1048576*t^63 - 7690118111487/4194304*t^61 + 13769976657555/8388608*t^59 - 174521704156123/134217728*t^57 + 980762816313987/1073741824*t^55 - 2447786188615581/4294967296*t^53 + 2715820747111329/8589934592*t^51 - 10720345054386825/68719476736*t^49 + 4704151411924965/68719476736*t^47 - 7337933154820905/274877906944*t^45 + 5080107568722165/549755813888*t^43 - 199449440632874565/70368744177664*t^41 + 216334049363699925/281474976710656*t^39 - 206843265262582767/1125899906842624*t^37 + 86858521226280027/2251799813685248*t^35 - 127606963283053373/18014398509481984*t^33 + 10196198034723393/9007199254740992*t^31 - 5637612468663945/36028797018963968*t^29 + 1338520855133077/72057594037927936*t^27 - 2165072903924931/1152921504606846976*t^25 + 2952372141715815/18446744073709551616*t^23 - 838327892092145/73786976294838206464*t^21 + 97696369222725/147573952589676412928*t^19 - 36716657444145/1180591620717411303424*t^17 + 1359876201635/1180591620717411303424*t^15 - 154364325591/4722366482869645213696*t^13 + 6466389579/9444732965739290427392*t^11 - 3039755785/302231454903657293676544*t^9 + 116416179/1208925819614629174706176*t^7 - 2592513/4835703278458516698824704*t^5 + 13717/9671406556917033397649408*t^3 - 87/77371252455336267181195264*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 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: 0
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 848
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.99592792006550423229 - 1.3216039555450569545e-1703j)  +/-  (1.24e-478, 1.24e-478j)
| (-0.97258026846512321422 + 3.3260020015302297844e-1724j)  +/-  (8.25e-479, 8.25e-479j)
| (-0.94173399624650810109 - 2.8675070207760791156e-1743j)  +/-  (2e-479, 2e-479j)
| (0.99202392627460435462 - 1.0589457962408790492e-1751j)  +/-  (1.47e-478, 1.47e-478j)
| (0.94173399624650810109 - 4.2530841431892627355e-1759j)  +/-  (1.92e-479, 1.92e-479j)
| (0.92897671981679144179 - 5.907737598163023943e-1760j)  +/-  (9.67e-480, 9.67e-480j)
| (-0.99983701056464122462 - 2.361098031619591323e-1766j)  +/-  (3.32e-479, 3.32e-479j)
| (-0.88351204444602292283 + 4.740097382663188694e-1790j)  +/-  (7.26e-481, 7.26e-481j)
| (-0.96354999251922296004 + 8.282141057945063789e-1790j)  +/-  (5.76e-479, 5.76e-479j)
| (0.98034248528918023127 + 3.302392917097647406e-1801j)  +/-  (1.15e-478, 1.15e-478j)
| (0.86602540378443864676 - 3.5264734307699322133e-1806j)  +/-  (2.37e-481, 2.37e-481j)
| (0.97258026846512321422 - 2.2429365826267123185e-1802j)  +/-  (8.13e-479, 8.13e-479j)
| (-0.92897671981679144179 - 2.6084930376312050581e-1801j)  +/-  (9.73e-480, 9.73e-480j)
| (-0.89984675395750663259 - 6.8950164880018792048e-1813j)  +/-  (1.8e-480, 1.8e-480j)
| (0.99853341385112386457 + 2.539843529612983978e-1820j)  +/-  (8.84e-479, 8.84e-479j)
| (0.88351204444602292283 + 2.7677931462735903246e-1830j)  +/-  (6.87e-481, 6.87e-481j)
| (0.89984675395750663259 - 7.9462363647252926366e-1832j)  +/-  (1.8e-480, 1.8e-480j)
| (-0.99202392627460435462 - 1.6666806406541478324e-1830j)  +/-  (1.39e-478, 1.39e-478j)
| (-0.78503740534267232747 + 2.491459819718285499e-1859j)  +/-  (1.3e-483, 1.3e-483j)
| (-0.86602540378443864676 + 1.7244026225843189936e-1853j)  +/-  (2.41e-481, 2.41e-481j)
| (0.91500823497401212887 - 1.6295889243011326675e-1859j)  +/-  (4.36e-480, 4.36e-480j)
| (0.76216205512763646326 - 5.6941099705541133177e-1864j)  +/-  (2.99e-484, 2.99e-484j)
| (-0.99853341385112386457 + 7.3123918914954051037e-1856j)  +/-  (9.12e-479, 9.12e-479j)
| (-0.80688921655007036584 - 1.0104371250230496684e-1879j)  +/-  (5.81e-483, 5.81e-483j)
| (-0.82768899815689055614 + 4.6500290242048662709e-1879j)  +/-  (2.09e-482, 2.09e-482j)
| (0.99983701056464122462 + 2.0863540272941388044e-1876j)  +/-  (3.27e-479, 3.27e-479j)
| (0.73829299099749864452 - 2.0758096523657757411e-1883j)  +/-  (6.08e-485, 6.08e-485j)
| (0.8474096312160865021 + 1.0172664492214142895e-1879j)  +/-  (7.76e-482, 7.76e-482j)
| (0.98682652254152615177 - 5.4571133775894249492e-1876j)  +/-  (1.35e-478, 1.35e-478j)
| (-0.66104095515320025808 - 3.3679961766383944868e-1884j)  +/-  (2.54e-487, 2.54e-487j)
| (0.99592792006550423229 + 6.470991223513641692e-1878j)  +/-  (1.33e-478, 1.33e-478j)
| (0.82768899815689055614 + 3.2128883720516369206e-1881j)  +/-  (2.1e-482, 2.1e-482j)
| (0.71346133365815993682 - 7.3136246198237719206e-1884j)  +/-  (1.21e-485, 1.21e-485j)
| (-0.98682652254152615177 + 1.3916725710498115597e-1873j)  +/-  (1.36e-478, 1.36e-478j)
| (-0.73829299099749864452 + 8.3730986704901723556e-1901j)  +/-  (6.04e-485, 6.04e-485j)
| (-0.76216205512763646326 + 6.5954992653450573928e-1900j)  +/-  (2.97e-484, 2.97e-484j)
| (-0.98034248528918023127 + 2.2208943598593685659e-1893j)  +/-  (1.17e-478, 1.17e-478j)
| (0.6335205801604238094 + 1.1211431854536418897e-1917j)  +/-  (3.65e-488, 3.65e-488j)
| (0.80688921655007036584 - 1.5882966338499250218e-1912j)  +/-  (5.8e-483, 5.8e-483j)
| (-0.9532634312085227117 + 6.4999634432164326203e-1910j)  +/-  (3.52e-479, 3.52e-479j)
| (-0.57603881850523965531 + 1.5550626355433446463e-1928j)  +/-  (5.3e-490, 5.3e-490j)
| (-0.6335205801604238094 + 2.5113667602273521671e-1926j)  +/-  (3.49e-488, 3.49e-488j)
| (0.68769945885342329308 - 4.1517637910844211649e-1924j)  +/-  (1.48e-486, 1.48e-486j)
| (0.60517421519376516592 + 3.4442121199296163387e-1926j)  +/-  (4.32e-489, 4.32e-489j)
| (-0.54615237709369695748 - 4.0770651042063526141e-1929j)  +/-  (5.64e-491, 5.64e-491j)
| (-0.60517421519376516592 - 1.291047633692751309e-1927j)  +/-  (4.21e-489, 4.21e-489j)
| (-0.71346133365815993682 + 1.3949839252258140528e-1923j)  +/-  (1.19e-485, 1.19e-485j)
| (0.96354999251922296004 - 1.1819942342907612899e-1914j)  +/-  (5.93e-479, 5.93e-479j)
| (0.48428315338761948491 + 2.1105407897902729831e-1934j)  +/-  (4.11e-493, 4.11e-493j)
| (0.9532634312085227117 - 3.3195888901526060586e-1920j)  +/-  (3.45e-479, 3.45e-479j)
| (-0.8474096312160865021 - 2.5913220528537660453e-1924j)  +/-  (8.01e-482, 8.01e-482j)
| (-0.51555385717702173971 + 1.5089622623643783253e-1939j)  +/-  (6.44e-492, 6.44e-492j)
| (0.072157755800616076453 - 7.7683081754478140618e-1956j)  +/-  (6.34e-508, 6.34e-508j)
| (0.57603881850523965531 - 4.8033424435559199442e-1938j)  +/-  (5.11e-490, 5.11e-490j)
| (0.51555385717702173971 - 3.4382784320235185373e-1940j)  +/-  (6.56e-492, 6.56e-492j)
| (-0.10811901842394176303 - 3.9105919648433704248e-1955j)  +/-  (1.71e-506, 1.71e-506j)
| (-0.48428315338761948491 - 9.0765803256541270955e-1940j)  +/-  (4.05e-493, 4.05e-493j)
| (-0.91500823497401212887 + 7.8387654589494450064e-1937j)  +/-  (4.42e-480, 4.42e-480j)
| (0.78503740534267232747 - 3.2560779966698180483e-1955j)  +/-  (1.26e-483, 1.26e-483j)
| (0.3868497110808391887 - 8.4825997057271295847e-1969j)  +/-  (2.21e-496, 2.21e-496j)
| (0.66104095515320025808 + 1.4199278504195989347e-1959j)  +/-  (2.47e-487, 2.47e-487j)
| (-0.68769945885342329308 + 3.1156950977297804833e-1969j)  +/-  (1.48e-486, 1.48e-486j)
| (-0.45238103675742690709 - 2.3941289290067045733e-1977j)  +/-  (3.72e-494, 3.72e-494j)
| (-0.072157755800616076453 - 3.262280906944060324e-1991j)  +/-  (6.83e-508, 6.83e-508j)
| (0.17957194111887163784 + 2.8629406999068098692e-1986j)  +/-  (7.62e-504, 7.62e-504j)
| (0.45238103675742690709 + 1.2702663577451653699e-1974j)  +/-  (3.6e-494, 3.6e-494j)
| (-0.036102413229936420728 + 1.7541603607444628553e-1991j)  +/-  (1.31e-509, 1.31e-509j)
| (-0.35330594238110234237 + 4.9973263109725022274e-1981j)  +/-  (1.16e-497, 1.16e-497j)
| (-0.3868497110808391887 + 1.1825341786108025987e-1979j)  +/-  (2.19e-496, 2.19e-496j)
| (0.54615237709369695748 + 2.7286115345772316026e-1976j)  +/-  (5.59e-491, 5.59e-491j)
| (0.35330594238110234237 + 1.5907527386694655258e-1982j)  +/-  (1.16e-497, 1.16e-497j)
| (0.10811901842394176303 - 1.7240214047630222998e-1991j)  +/-  (1.79e-506, 1.79e-506j)
| (-0.41988910156026457697 + 7.8277050970650124922e-1981j)  +/-  (2.76e-495, 2.76e-495j)
| (-0.3193015301359799732 + 4.9150673236054975031e-1984j)  +/-  (8.57e-499, 8.57e-499j)
| (6.4699417401161246282e-2026 + 2.1696599855127026363e-2026j)  +/-  (5.94e-2024, 5.94e-2024j)
| (0.41988910156026457697 - 1.5174554287984921361e-1980j)  +/-  (2.72e-495, 2.72e-495j)
| (0.21497044021102406718 + 4.0352228309256308027e-1988j)  +/-  (1.53e-502, 1.53e-502j)
| (-0.17957194111887163784 + 7.0241578241838703473e-1989j)  +/-  (7.47e-504, 7.47e-504j)
| (-0.28488080961169992114 - 6.6575411023578116787e-1986j)  +/-  (4.76e-500, 4.76e-500j)
| (-0.14393931447411911432 - 3.4131447726395549001e-1990j)  +/-  (3e-505, 3e-505j)
| (0.3193015301359799732 - 4.7033919161071110224e-1984j)  +/-  (8.32e-499, 8.32e-499j)
| (0.28488080961169992114 + 9.1035813643699106382e-1985j)  +/-  (4.72e-500, 4.72e-500j)
| (0.036102413229936420728 - 5.5577756575639473601e-1994j)  +/-  (1.31e-509, 1.31e-509j)
| (-0.25008865886106302322 - 2.0945982348515506662e-1986j)  +/-  (3.67e-501, 3.67e-501j)
| (-0.21497044021102406718 - 1.3908859624541580546e-1987j)  +/-  (1.51e-502, 1.51e-502j)
| (0.14393931447411911432 - 5.1329173366371027974e-1990j)  +/-  (3.23e-505, 3.23e-505j)
| (0.25008865886106302322 - 2.0145075044580022058e-1986j)  +/-  (3.61e-501, 3.61e-501j)
-------------------------------------------------
The weights are:
| (0.011494252873563218391 - 9.3071956028705386974e-1704j)  +/-  (6.27e-126, 4.84e-357j)
| (0.011494252873563218391 - 1.6784454869618133832e-1703j)  +/-  (3.27e-126, 2.53e-357j)
| (0.011494252873563218391 + 1.0458114447256285773e-1703j)  +/-  (1.18e-126, 9.13e-358j)
| (0.011494252873563218391 + 1.0684089019842153233e-1705j)  +/-  (1.39e-127, 1.07e-358j)
| (0.011494252873563218391 + 2.9250007592846055253e-1705j)  +/-  (9.79e-128, 7.56e-359j)
| (0.011494252873563218391 - 3.2400830344598314695e-1705j)  +/-  (7.27e-128, 5.61e-359j)
| (0.011494252873563218391 + 7.7822075064584927446e-1704j)  +/-  (3.46e-127, 2.67e-358j)
| (0.011494252873563218391 + 7.020993453434212853e-1704j)  +/-  (4.38e-128, 3.39e-359j)
| (0.011494252873563218391 + 1.3922661000951915845e-1703j)  +/-  (1.07e-126, 8.26e-358j)
| (0.011494252873563218391 + 1.6822463440278160053e-1705j)  +/-  (6.34e-129, 4.89e-360j)
| (0.011494252873563218391 - 4.5248346953080186646e-1705j)  +/-  (5.16e-130, 3.99e-361j)
| (0.011494252873563218391 - 1.9907339318241585487e-1705j)  +/-  (6.4e-129, 4.94e-360j)
| (0.011494252873563218391 - 9.3155176359299815958e-1704j)  +/-  (2.03e-128, 1.57e-359j)
| (0.011494252873563218391 - 7.6498873222876145197e-1704j)  +/-  (6.58e-129, 5.08e-360j)
| (0.011494252873563218391 + 4.5738864466820827968e-1706j)  +/-  (1.89e-130, 1.46e-361j)
| (0.011494252873563218391 + 4.1995016690601620988e-1705j)  +/-  (2.02e-130, 1.56e-361j)
| (0.011494252873563218391 - 3.8770962846571908857e-1705j)  +/-  (2.75e-130, 2.12e-361j)
| (0.011494252873563218391 + 5.4404426930611374555e-1703j)  +/-  (2.89e-130, 2.23e-361j)
| (0.011494252873563218391 - 4.9493659337845946006e-1704j)  +/-  (9.8e-134, 7.56e-365j)
| (0.011494252873563218391 - 6.4856565076625309174e-1704j)  +/-  (4.61e-132, 3.56e-363j)
| (0.011494252873563218391 + 3.5573702843115066724e-1705j)  +/-  (7.28e-132, 5.62e-363j)
| (0.011494252873563218391 + 6.2047444621605794262e-1705j)  +/-  (5.52e-136, 4.26e-367j)
| (0.011494252873563218391 - 3.5012325548353808037e-1703j)  +/-  (2.72e-130, 2.1e-361j)
| (0.011494252873563218391 + 5.2652597261538259565e-1704j)  +/-  (8.4e-134, 6.48e-365j)
| (0.011494252873563218391 - 5.6206000006282143811e-1704j)  +/-  (1.94e-133, 1.5e-364j)
| (0.011494252873563218391 - 1.5242954197117893832e-1706j)  +/-  (3.95e-134, 3.05e-365j)
| (0.011494252873563218391 - 6.5533935773209296893e-1705j)  +/-  (4.87e-138, 3.76e-369j)
| (0.011494252873563218391 + 4.8533520593735012816e-1705j)  +/-  (9.45e-136, 7.29e-367j)
| (0.011494252873563218391 - 1.3748735668308405809e-1705j)  +/-  (3.88e-134, 3e-365j)
| (0.011494252873563218391 + 3.7754354008781094021e-1704j)  +/-  (7.03e-142, 5.43e-373j)
| (0.011494252873563218391 - 7.6264806707784401256e-1706j)  +/-  (5.73e-134, 4.43e-365j)
| (0.011494252873563218391 - 5.1853197628095558676e-1705j)  +/-  (1.17e-137, 9.07e-369j)
| (0.011494252873563218391 + 6.9069976094697882537e-1705j)  +/-  (1.18e-140, 9.09e-372j)
| (0.011494252873563218391 - 2.9951847125399643662e-1703j)  +/-  (2.85e-136, 2.2e-367j)
| (0.011494252873563218391 - 4.4112932284954298201e-1704j)  +/-  (4.3e-141, 3.32e-372j)
| (0.011494252873563218391 + 4.6664208396974560698e-1704j)  +/-  (2.73e-140, 2.11e-371j)
| (0.011494252873563218391 + 2.1331285985481027223e-1703j)  +/-  (1.15e-136, 8.87e-368j)
| (0.011494252873563218391 - 8.0010680692670593354e-1705j)  +/-  (6.59e-145, 5.09e-376j)
| (0.011494252873563218391 + 5.5210140401299581162e-1705j)  +/-  (3.89e-140, 3e-371j)
| (0.011494252873563218391 - 1.1932838929824851241e-1703j)  +/-  (1.31e-137, 1.01e-368j)
| (0.011494252873563218391 - 3.2802987824712188765e-1704j)  +/-  (1.86e-146, 1.44e-377j)
| (0.011494252873563218391 - 3.5974239288551471265e-1704j)  +/-  (2.53e-145, 1.95e-376j)
| (0.011494252873563218391 - 7.265900522265360488e-1705j)  +/-  (1.19e-144, 9.17e-376j)
| (0.011494252873563218391 + 8.3781148127769018299e-1705j)  +/-  (6.08e-147, 4.69e-378j)
| (0.011494252873563218391 + 3.1382449997204701226e-1704j)  +/-  (1.06e-147, 8.21e-379j)
| (0.011494252873563218391 + 3.4329085940688629422e-1704j)  +/-  (3.4e-146, 2.62e-377j)
| (0.011494252873563218391 + 4.1798740301609392254e-1704j)  +/-  (1.38e-144, 1.06e-375j)
| (0.011494252873563218391 + 2.300546008939843796e-1705j)  +/-  (6.05e-143, 4.67e-374j)
| (0.011494252873563218391 + 9.95959991354926571e-1705j)  +/-  (4.41e-153, 3.4e-384j)
| (0.011494252873563218391 - 2.6118958162876368928e-1705j)  +/-  (4.59e-143, 3.55e-374j)
| (0.011494252873563218391 + 6.0237470886186350498e-1704j)  +/-  (1.66e-144, 1.28e-375j)
| (0.011494252873563218391 - 3.0055945273406791096e-1704j)  +/-  (8.05e-151, 6.21e-382j)
| (0.011494252873563218391 + 1.5734821813265125243e-1704j)  +/-  (3.35e-157, 2.59e-388j)
| (0.011494252873563218391 - 8.7620283230253848495e-1705j)  +/-  (1.64e-151, 1.26e-382j)
| (0.011494252873563218391 - 9.5522795989512125596e-1705j)  +/-  (6.25e-153, 4.82e-384j)
| (0.011494252873563218391 - 1.8868121490134124321e-1704j)  +/-  (5.92e-158, 4.57e-389j)
| (0.011494252873563218391 + 2.8813565659862765197e-1704j)  +/-  (3.22e-153, 2.49e-384j)
| (0.011494252873563218391 + 8.400808141391041796e-1704j)  +/-  (1.67e-146, 1.29e-377j)
| (0.011494252873563218391 - 5.8607223534139373395e-1705j)  +/-  (3.65e-148, 2.82e-379j)
| (0.011494252873563218391 - 1.1236920973800227091e-1704j)  +/-  (6.78e-157, 5.23e-388j)
| (0.011494252873563218391 + 7.6304638037069709144e-1705j)  +/-  (3.04e-150, 2.35e-381j)
| (0.011494252873563218391 - 3.9688317567046995768e-1704j)  +/-  (8.52e-150, 6.58e-381j)
| (0.011494252873563218391 - 2.7646745690425151487e-1704j)  +/-  (4.94e-155, 3.81e-386j)
| (0.011494252873563218391 + 1.8192986135710643529e-1704j)  +/-  (1.6e-159, 1.23e-390j)
| (0.011494252873563218391 - 1.4101372668226302052e-1704j)  +/-  (1.78e-160, 1.37e-391j)
| (0.011494252873563218391 - 1.0375757453441498704e-1704j)  +/-  (5.73e-157, 4.42e-388j)
| (0.011494252873563218391 - 1.7543894435577160051e-1704j)  +/-  (5.27e-160, 4.07e-391j)
| (0.011494252873563218391 + 2.4529763353458075445e-1704j)  +/-  (2.31e-159, 1.78e-390j)
| (0.011494252873563218391 - 2.5510948735848387293e-1704j)  +/-  (9.45e-159, 7.3e-390j)
| (0.011494252873563218391 + 9.1532577864336247709e-1705j)  +/-  (1.63e-156, 1.26e-387j)
| (0.011494252873563218391 + 1.1683197018006506293e-1704j)  +/-  (2.21e-160, 1.71e-391j)
| (0.011494252873563218391 - 1.517262140966089893e-1704j)  +/-  (7.28e-162, 5.62e-393j)
| (0.011494252873563218391 + 2.6548040863404459471e-1704j)  +/-  (1e-158, 7.73e-390j)
| (0.011494252873563218391 - 2.359945595989369285e-1704j)  +/-  (5.46e-161, 4.22e-392j)
| (0.011494252873563218391 + 1.691895734833134758e-1704j)  +/-  (2.11e-162, 1.63e-393j)
| (0.011494252873563218391 + 1.0801326625543650675e-1704j)  +/-  (1.48e-160, 1.14e-391j)
| (0.011494252873563218391 + 1.3590006771496981299e-1704j)  +/-  (3.57e-163, 2.76e-394j)
| (0.011494252873563218391 - 2.0305065487972372281e-1704j)  +/-  (1.06e-163, 8.22e-395j)
| (0.011494252873563218391 + 2.2715576591627658595e-1704j)  +/-  (3.7e-163, 2.86e-394j)
| (0.011494252873563218391 + 1.9571381648157420035e-1704j)  +/-  (1.68e-163, 1.29e-394j)
| (0.011494252873563218391 - 1.2140858530804243927e-1704j)  +/-  (3.02e-164, 2.33e-395j)
| (0.011494252873563218391 + 1.2610661313840039583e-1704j)  +/-  (8.93e-165, 6.9e-396j)
| (0.011494252873563218391 - 1.6316455849439651263e-1704j)  +/-  (8.73e-165, 6.74e-396j)
| (0.011494252873563218391 - 2.1874172397654568853e-1704j)  +/-  (4.17e-165, 3.22e-396j)
| (0.011494252873563218391 + 2.1071719447285355403e-1704j)  +/-  (3.36e-165, 2.6e-396j)
| (0.011494252873563218391 + 1.4628540635826858856e-1704j)  +/-  (4.52e-166, 3.51e-397j)
| (0.011494252873563218391 - 1.3093418543901051639e-1704j)  +/-  (4.12e-166, 3.16e-397j)
