Starting with polynomial:
P : 2*t
Extension levels are: 1 64
-------------------------------------------------
Trying to find an order 64 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^65 - 2080*t^63 + 1015560*t^61 - 309745800*t^59 + 66246882975*t^57 - 10573002522810*t^55 + 2616818124395475/2*t^53 - 257569669672640325/2*t^51 + 328401328832616414375/32*t^49 - 5363888370932734768125/8*t^47 + 1159672665795657256868625/32*t^45 - 52185269960804576559088125/32*t^43 + 15707766258202177544285525625/256*t^41 - 247699390994726645890656365625/128*t^39 + 26220749818156063514996623846875/512*t^37 - 582100645963064610032925049400625/512*t^35 + 346349884348023442969590404393371875/16384*t^33 - 672326246087339624588028432057721875/2048*t^31 + 34736856047845880603714802322982296875/8192*t^29 - 371135883037511250660742361661337171875/8192*t^27 + 26053738989233289796384113788625869465625/65536*t^25 - 93049067818690320701371834959378105234375/32768*t^23 + 2140128559829877376131552204065696420390625/131072*t^21 - 9770152120962483673644042670734701049609375/131072*t^19 + 556898670894861569397710432231877959827734375/2097152*t^17 - 378691096208505867190443093917677012682859375/524288*t^15 + 3058658853991778158076655758565852794746171875/2097152*t^13 - 4418062789099235117221836095706231814633359375/2097152*t^11 + 34713350485779704492457283609120392829262109375/16777216*t^9 - 10773108771448873808003984568347708119426171875/8388608*t^7 + 15082352280028423331205578395686791367196640625/33554432*t^5 - 2432637464520713440517028773497869575354296875/33554432*t^3 + 7297912393562140321551086320493608726062890625/2147483648*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: 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:
| (-10.616022981878281189 - 5.0567876277823466083e-1757j)  +/-  (3.41e-499, 3.41e-499j)
| (-7.4207788343663242365 + 7.2100655965191156325e-1760j)  +/-  (1.34e-494, 1.34e-494j)
| (-8.1709061780525853213 - 5.9032565306869648506e-1777j)  +/-  (4.99e-495, 4.99e-495j)
| (9.9869416916766847529 - 7.2118186422207301554e-1788j)  +/-  (7.73e-498, 7.73e-498j)
| (7.4207788343663242365 - 9.4139577759994862688e-1783j)  +/-  (1.44e-494, 1.44e-494j)
| (9.4663293201553845621 - 1.5779644668862720502e-1787j)  +/-  (7.26e-497, 7.26e-497j)
| (6.7223998201657344371 + 4.3743229766509919174e-1787j)  +/-  (2.4e-494, 2.4e-494j)
| (-1.0996066000569449503 + 5.5950917104407353678e-1809j)  +/-  (4.81e-505, 4.81e-505j)
| (-2.7721250051570916738 - 5.5373474374862830153e-1799j)  +/-  (1.97e-499, 1.97e-499j)
| (1.3757104277236683361 - 1.1709493902196455686e-1812j)  +/-  (5.04e-504, 5.04e-504j)
| (-6.0604917788315052143 + 5.5374732952237637744e-1801j)  +/-  (2.1e-494, 2.1e-494j)
| (6.3875637397870910877 + 2.4824030070777133555e-1810j)  +/-  (2.59e-494, 2.59e-494j)
| (-1.3757104277236683361 - 1.2175912995593470356e-1831j)  +/-  (4.94e-504, 4.94e-504j)
| (8.5734447444179092051 + 6.5616975546114566443e-1821j)  +/-  (1.64e-495, 1.64e-495j)
| (-5.4257332976973493338 + 1.5713319891480391001e-1842j)  +/-  (8.28e-495, 8.28e-495j)
| (3.9207754044447238073 - 2.2735551576582071601e-1865j)  +/-  (7.18e-497, 7.18e-497j)
| (-6.7223998201657344371 - 1.4395664610951246082e-1878j)  +/-  (2.35e-494, 2.35e-494j)
| (8.1709061780525853213 - 8.592633334129390098e-1898j)  +/-  (5.04e-495, 5.04e-495j)
| (3.0559634843286710047 + 7.9909826835084764844e-1916j)  +/-  (1.2e-498, 1.2e-498j)
| (3.3418409684468300535 + 3.4975715241276166274e-1914j)  +/-  (5.12e-498, 5.12e-498j)
| (-7.066267940306892837 + 2.4970348270625305585e-1910j)  +/-  (1.98e-494, 1.98e-494j)
| (6.0604917788315052143 + 1.8760224121619728355e-1921j)  +/-  (2.3e-494, 2.3e-494j)
| (-4.5113321113682133852 - 1.5457427497481661354e-1926j)  +/-  (9.69e-496, 9.69e-496j)
| (-5.7401618236902255214 + 8.5907399425107181213e-1941j)  +/-  (1.7e-494, 1.7e-494j)
| (-7.7880390829895707826 - 1.3183409703796818676e-1954j)  +/-  (7.45e-495, 7.45e-495j)
| (-9.4663293201553845621 + 1.4608029279170956076e-1961j)  +/-  (7.11e-497, 7.11e-497j)
| (4.5113321113682133852 - 6.8841508973178069997e-1965j)  +/-  (9.66e-496, 9.66e-496j)
| (2.2096274151691843636 - 3.0553727203709667727e-1971j)  +/-  (5.29e-501, 5.29e-501j)
| (-9.9869416916766847529 + 9.7686088206209067483e-1966j)  +/-  (7.68e-498, 7.68e-498j)
| (-9.0018233229591330196 + 3.6554850662650752873e-1964j)  +/-  (4.53e-496, 4.53e-496j)
| (9.0018233229591330196 + 7.3152313280444698406e-1969j)  +/-  (4.36e-496, 4.36e-496j)
| (-6.3875637397870910877 - 1.2411178563347415725e-1971j)  +/-  (2.82e-494, 2.82e-494j)
| (-8.5734447444179092051 + 2.0253348396081922643e-1982j)  +/-  (1.69e-495, 1.69e-495j)
| (1.6526292190403254102 + 1.4021094296248188968e-1992j)  +/-  (7.15e-503, 7.15e-503j)
| (7.7880390829895707826 - 9.0215823108635593022e-1985j)  +/-  (7.02e-495, 7.02e-495j)
| (-3.3418409684468300535 - 8.7357020856525690175e-1990j)  +/-  (5.36e-498, 5.36e-498j)
| (5.7401618236902255214 - 8.1859729603246762341e-1984j)  +/-  (1.8e-494, 1.8e-494j)
| (4.8118738520274647647 - 6.7341402991818484595e-1986j)  +/-  (2.36e-495, 2.36e-495j)
| (-3.6300168776328953338 - 6.4018028798337842466e-1988j)  +/-  (2.27e-497, 2.27e-497j)
| (10.616022981878281189 - 1.0169397696948428827e-1990j)  +/-  (3.51e-499, 3.51e-499j)
| (-2.4900867953039355067 - 2.6926393350815798288e-1991j)  +/-  (3.46e-500, 3.46e-500j)
| (7.066267940306892837 - 5.1734243859758765474e-1985j)  +/-  (2.05e-494, 2.05e-494j)
| (1.0996066000569449503 - 6.7353205436837108773e-1997j)  +/-  (4.89e-505, 4.89e-505j)
| (2.4900867953039355067 - 8.5965406713560267016e-1992j)  +/-  (3.6e-500, 3.6e-500j)
| (-2.2096274151691843636 + 1.1610874146172263175e-1992j)  +/-  (5.51e-501, 5.51e-501j)
| (-1.9305398759772255018 + 2.1372351655835876065e-1994j)  +/-  (5.75e-502, 5.75e-502j)
| (4.2144305099719546077 + 1.3583763015816002881e-1987j)  +/-  (3.54e-496, 3.54e-496j)
| (-4.2144305099719546077 - 1.1944786450782497396e-1987j)  +/-  (3.32e-496, 3.32e-496j)
| (0.82414732440241286106 + 2.8936266743963322644e-1998j)  +/-  (3.78e-506, 3.78e-506j)
| (-3.0559634843286710047 + 6.6255264265725377639e-1990j)  +/-  (1.17e-498, 1.17e-498j)
| (5.4257332976973493338 - 4.7621711674416338443e-1986j)  +/-  (8.27e-495, 8.27e-495j)
| (-0.27450454175394475586 - 4.9202189920172047026e-2001j)  +/-  (7.4e-509, 7.4e-509j)
| (-4.8118738520274647647 - 5.5649047498948165032e-1988j)  +/-  (2.38e-495, 2.38e-495j)
| (-3.9207754044447238073 + 6.0049543882182462094e-1996j)  +/-  (7.2e-497, 7.2e-497j)
| (1.9305398759772255018 - 1.2716780477025129096e-2001j)  +/-  (5.84e-502, 5.84e-502j)
| (2.7721250051570916738 + 5.8196523862145021144e-1999j)  +/-  (1.83e-499, 1.83e-499j)
| (-0.82414732440241286106 - 1.7650250496506447353e-2007j)  +/-  (3.78e-506, 3.78e-506j)
| (5.116503004721412474 - 9.5145267694757660603e-1999j)  +/-  (4.69e-495, 4.69e-495j)
| (0.54916721122159918457 + 7.2806521043261047135e-2011j)  +/-  (3.03e-507, 3.03e-507j)
| (0.27450454175394475586 + 1.2807224510276368489e-2013j)  +/-  (7.51e-509, 7.51e-509j)
| (1.0400614361500810124e-2032 + 1.6295193262833323251e-2032j)  +/-  (1.26e-2030, 1.26e-2030j)
| (-5.116503004721412474 + 1.2712109309207267617e-2008j)  +/-  (4.72e-495, 4.72e-495j)
| (-0.54916721122159918457 + 6.7283802679474321529e-2021j)  +/-  (3.03e-507, 3.03e-507j)
| (3.6300168776328953338 + 2.6884772286047831918e-2016j)  +/-  (2.12e-497, 2.12e-497j)
| (-1.6526292190403254102 + 3.147362248350447189e-2022j)  +/-  (6.99e-503, 6.99e-503j)
-------------------------------------------------
The weights are:
| (4.6554728683270603115e-50 + 2.4194496478570558274e-1797j)  +/-  (5.34e-187, 8.38e-432j)
| (2.4694432482040231842e-25 + 1.3212583775278294852e-1783j)  +/-  (2.01e-177, 3.16e-422j)
| (2.236045234717909313e-30 - 7.1423978292845209332e-1787j)  +/-  (5.8e-180, 9.11e-425j)
| (1.5276425075326906525e-44 + 2.543944911061942521e-1795j)  +/-  (6.07e-188, 9.52e-433j)
| (2.4694432482040231842e-25 + 1.1996616668076516395e-1785j)  +/-  (1.8e-180, 2.83e-425j)
| (3.3266222773397583263e-40 - 3.8697704310194809707e-1793j)  +/-  (9.94e-187, 1.56e-431j)
| (4.5260522474678922858e-21 + 1.7043213918224391552e-1783j)  +/-  (2.19e-178, 3.43e-423j)
| (0.046432894897483223403 - 1.2213889809501770482e-1773j)  +/-  (3.82e-135, 5.99e-380j)
| (7.3391426373100823773e-05 - 6.6028920675570313208e-1775j)  +/-  (2.87e-158, 4.5e-403j)
| (0.023504763602840491294 + 6.244638580324908656e-1774j)  +/-  (2.26e-142, 3.55e-387j)
| (2.0413505362604443704e-17 + 1.1900548239886879115e-1780j)  +/-  (3.86e-177, 6.06e-422j)
| (3.5588464220738426589e-19 - 1.5479317611590217738e-1782j)  +/-  (1.39e-177, 2.19e-422j)
| (0.023504763602840491294 + 9.0868940632289078347e-1774j)  +/-  (1.76e-143, 2.76e-388j)
| (2.7941975767044135468e-33 - 1.1841429513170555599e-1789j)  +/-  (4.36e-185, 6.85e-430j)
| (2.8852189743072365278e-14 + 3.0505301227007263822e-1779j)  +/-  (1.01e-175, 1.59e-420j)
| (3.4741644857521265576e-08 - 5.888319341693429443e-1777j)  +/-  (2.95e-169, 4.63e-414j)
| (4.5260522474678922858e-21 + 3.4514957400611592688e-1782j)  +/-  (1.47e-180, 2.31e-425j)
| (2.236045234717909313e-30 + 3.4362597171626004033e-1788j)  +/-  (5.61e-184, 8.8e-429j)
| (1.4130321575199602214e-05 + 1.2855486048376725319e-1775j)  +/-  (8.9e-165, 1.4e-409j)
| (2.2862368963533293739e-06 - 5.033630782202257664e-1776j)  +/-  (1.91e-166, 2.99e-411j)
| (4.0630737919951084422e-23 - 6.4422342179854413736e-1783j)  +/-  (3.35e-182, 5.26e-427j)
| (2.0413505362604443704e-17 + 1.2007890199274767097e-1781j)  +/-  (1.48e-178, 2.32e-423j)
| (2.4421827125355473489e-10 - 1.92449775275911453e-1777j)  +/-  (8.17e-175, 1.28e-419j)
| (8.7712499337787853262e-16 - 6.3139440475472382102e-1780j)  +/-  (3.4e-178, 5.34e-423j)
| (9.6245754449645162798e-28 + 3.0266040404709499267e-1785j)  +/-  (2.39e-185, 3.75e-430j)
| (3.3266222773397583263e-40 + 3.1947014851822242119e-1792j)  +/-  (9.4e-193, 1.48e-437j)
| (2.4421827125355473489e-10 - 4.6925675651014065198e-1778j)  +/-  (4.76e-178, 7.47e-423j)
| (0.0011960715541077584016 - 1.2866864101199091592e-1774j)  +/-  (1.51e-166, 2.37e-411j)
| (1.5276425075326906525e-44 - 1.7257003721668018335e-1794j)  +/-  (1.16e-194, 1.82e-439j)
| (1.6103013919490612191e-36 - 2.8757308356196689158e-1790j)  +/-  (1.87e-191, 2.94e-436j)
| (1.6103013919490612191e-36 + 2.7685371339401004318e-1791j)  +/-  (9.11e-194, 1.43e-438j)
| (3.5588464220738426589e-19 - 2.0687243293232696506e-1781j)  +/-  (1.51e-183, 2.37e-428j)
| (2.7941975767044135468e-33 + 1.6430994392552991618e-1788j)  +/-  (5.34e-190, 8.39e-435j)
| (0.010194585942800275473 - 3.9870629630844687771e-1774j)  +/-  (3.7e-168, 5.81e-413j)
| (9.6245754449645162798e-28 - 7.308597938059954907e-1787j)  +/-  (2.22e-190, 3.48e-435j)
| (2.2862368963533293739e-06 - 1.3281657165154547871e-1775j)  +/-  (6.92e-179, 1.09e-423j)
| (8.7712499337787853262e-16 - 8.0627381035682440202e-1781j)  +/-  (9.92e-186, 1.56e-430j)
| (1.5012325124479632479e-11 + 1.1348594447309719255e-1778j)  +/-  (1.39e-183, 2.18e-428j)
| (3.0920162080485902352e-07 + 5.2557307498668520865e-1776j)  +/-  (6.57e-181, 1.03e-425j)
| (4.6554728683270603115e-50 - 4.2860882367781269779e-1798j)  +/-  (1.48e-201, 2.32e-446j)
| (0.00032181315594330681965 + 1.3035652055367717096e-1774j)  +/-  (1.3e-177, 2.04e-422j)
| (4.0630737919951084422e-23 - 1.5764718982279561174e-1784j)  +/-  (7.32e-189, 1.15e-433j)
| (0.046432894897483223403 - 9.0613390359428805081e-1774j)  +/-  (4.95e-171, 7.77e-416j)
| (0.00032181315594330681965 + 6.4852847589713394592e-1775j)  +/-  (6.9e-178, 1.08e-422j)
| (0.0011960715541077584016 - 2.3778454794211416614e-1774j)  +/-  (3.81e-177, 5.98e-422j)
| (0.0037808626354825009554 + 4.0127577597815047347e-1774j)  +/-  (2.02e-176, 3.18e-421j)
| (3.2201588379087384838e-09 + 1.7474436761778657002e-1777j)  +/-  (5.93e-183, 9.31e-428j)
| (3.2201588379087384838e-09 + 6.3411304484061344874e-1777j)  +/-  (6.55e-184, 1.03e-428j)
| (0.078719194528851885597 + 1.2192486721043049477e-1773j)  +/-  (2.41e-175, 3.78e-420j)
| (1.4130321575199602214e-05 + 3.0856658048893285203e-1775j)  +/-  (1.12e-180, 1.75e-425j)
| (2.8852189743072365278e-14 + 4.7374310193894441906e-1780j)  +/-  (4.07e-187, 6.39e-432j)
| (0.14365892331848563863 + 1.9003139784383304047e-1773j)  +/-  (7.47e-177, 1.17e-421j)
| (1.5012325124479632479e-11 + 5.3211372310579792775e-1778j)  +/-  (7.87e-186, 1.24e-430j)
| (3.4741644857521265576e-08 - 1.9080750782440429435e-1776j)  +/-  (2.36e-183, 3.7e-428j)
| (0.0037808626354825009554 + 2.3559242997163056548e-1774j)  +/-  (1.01e-180, 1.58e-425j)
| (7.3391426373100823773e-05 - 3.011365551812781417e-1775j)  +/-  (1.13e-182, 1.78e-427j)
| (0.078719194528851885597 + 1.5239012904311674296e-1773j)  +/-  (3.54e-180, 5.48e-425j)
| (7.3979450013275658349e-13 - 2.4580510661287267424e-1779j)  +/-  (2.74e-187, 4.27e-432j)
| (0.11467185678803693171 - 1.5223404317638532341e-1773j)  +/-  (4.26e-180, 6.59e-425j)
| (0.14365892331848563863 + 1.7647387715716481983e-1773j)  +/-  (1.6e-180, 2.48e-425j)
| (0.15485775633539738542 - 1.9000093318758620609e-1773j)  +/-  (1.16e-180, 1.8e-425j)
| (7.3979450013275658349e-13 - 1.3373954016663187255e-1778j)  +/-  (3.99e-188, 6.21e-433j)
| (0.11467185678803693171 - 1.7656660139513294637e-1773j)  +/-  (1.21e-181, 1.88e-426j)
| (3.0920162080485902352e-07 + 1.8028768879701901766e-1776j)  +/-  (3.28e-185, 5.44e-430j)
| (0.010194585942800275473 - 6.2717251822857638287e-1774j)  +/-  (9.22e-183, 1.33e-427j)
