Starting with polynomial:
P : t
Extension levels are: 1 60
-------------------------------------------------
Trying to find an order 60 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^61 - 1830*t^59 + 1565565*t^57 - 832880580*t^55 + 309206915325*t^53 - 85217425863570*t^51 + 18108702996008625*t^49 - 3042262103329449000*t^47 + 411085666712391796125*t^45 - 45219423338363097573750*t^43 + 4083313927454187710909625*t^41 - 304392492773857629358717500*t^39 + 18796236428785708612900805625*t^37 - 962945650890098610476302811250*t^35 + 40925190162829190945242869478125*t^33 - 1440566693731587521272549005630000*t^31 + 41866469536574262336983455476121875*t^29 - 999869801873479441695016642547381250*t^27 + 19497461136532849113052824529673934375*t^25 - 307854649524202880732413018889588437500*t^23 + 3894361316481166441265024688953293734375*t^21 - 38943613164811664412650246889532937343750*t^19 + 302698084144672482480145100823187831171875*t^17 - 1789866932333715548578249291824067175625000*t^15 + 7830667828960005525029840651730293893359375*t^13 - 24431683626355217238093102833398516947281250*t^11 + 51682407671136036465196948301419939696171875*t^9 - 68909876894848048620262597735226586261562500*t^7 + 51682407671136036465196948301419939696171875*t^5 - 17821519886598633263861016655662048171093750*t^3 + 1782151988659863326386101665566204817109375*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: 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:
| (3.2276822527149105572 + 9.6177662939329270416e-1457j)  +/-  (5.25e-501, 5.25e-501j)
| (14.498533915900149317 + 2.4431789928473293694e-1451j)  +/-  (1.18e-499, 1.18e-499j)
| (5.3110308195370260446 - 4.6701857484831436217e-1455j)  +/-  (1.63e-497, 1.63e-497j)
| (1.6051847101182256355 - 8.6857382586134161688e-1462j)  +/-  (7.35e-505, 7.35e-505j)
| (4.887411810748714214 + 8.0287451822927503639e-1456j)  +/-  (4.81e-498, 4.81e-498j)
| (2.8194188542255728953 - 5.3144500408485106369e-1460j)  +/-  (5.64e-502, 5.64e-502j)
| (2.008475226640472094 + 2.0173301877261747698e-1462j)  +/-  (1e-503, 1e-503j)
| (2.4131208142506848327 - 6.0670424899909006085e-1461j)  +/-  (8.95e-503, 8.95e-503j)
| (3.6382430676068060947 + 7.4128958994326954529e-1459j)  +/-  (3.26e-500, 3.26e-500j)
| (1.2029642303011723284 - 1.4387485180717532205e-1464j)  +/-  (5.9e-506, 5.9e-506j)
| (4.0514567191649028933 - 8.2907207251735901786e-1458j)  +/-  (2.48e-499, 2.48e-499j)
| (0.8015382630317265855 + 4.514940362440041925e-1465j)  +/-  (3.6e-507, 3.6e-507j)
| (5.7390739549506931965 - 1.2183659834893482786e-1454j)  +/-  (6.93e-497, 6.93e-497j)
| (6.1721127891630710448 - 1.6718757711264786201e-1454j)  +/-  (1.67e-496, 1.67e-496j)
| (4.4677069572407988504 - 1.2416748893063627853e-1458j)  +/-  (1.02e-498, 1.02e-498j)
| (-8.4387669441217875807 - 9.5961357754376475965e-1458j)  +/-  (3.85e-495, 3.85e-495j)
| (12.188457192776551964 + 4.9616125629865564351e-1474j)  +/-  (1.25e-496, 1.25e-496j)
| (-14.498533915900149317 - 8.1742518384776547258e-1473j)  +/-  (1.18e-499, 1.18e-499j)
| (7.0558612422325789793 - 6.4730401613715127856e-1480j)  +/-  (8.89e-496, 8.89e-496j)
| (6.6107947002797749877 + 1.723502352487067228e-1480j)  +/-  (4.1e-496, 4.1e-496j)
| (-10.448964909729461348 + 7.5230520158687099477e-1479j)  +/-  (1.94e-495, 1.94e-495j)
| (-12.853564295912951536 + 1.17542934467468303e-1491j)  +/-  (2.58e-497, 2.58e-497j)
| (-2.4131208142506848327 + 1.409952841812516457e-1505j)  +/-  (9.25e-503, 9.25e-503j)
| (-11.574803203521677055 + 1.9364306442062369228e-1497j)  +/-  (5.36e-496, 5.36e-496j)
| (-13.598659156615787863 + 6.2658838584034394529e-1506j)  +/-  (2.86e-498, 2.86e-498j)
| (-7.0558612422325789793 + 8.9752464567463049299e-1513j)  +/-  (7.62e-496, 7.62e-496j)
| (-5.7390739549506931965 - 8.3535467886921432536e-1524j)  +/-  (6.23e-497, 6.23e-497j)
| (-2.8194188542255728953 + 2.0466363144251138286e-1536j)  +/-  (6.03e-502, 6.03e-502j)
| (8.919721841212938333 + 1.442907942882625075e-1527j)  +/-  (3.73e-495, 3.73e-495j)
| (-12.188457192776551964 - 1.1685172083877795639e-1535j)  +/-  (1.35e-496, 1.35e-496j)
| (9.413418928509502288 - 2.9834129626596943603e-1547j)  +/-  (3.33e-495, 3.33e-495j)
| (-1.6051847101182256355 + 1.1629408147209529933e-1563j)  +/-  (6.88e-505, 6.88e-505j)
| (12.853564295912951536 - 2.4360450123207026994e-1552j)  +/-  (2.49e-497, 2.49e-497j)
| (-8.919721841212938333 - 6.3955079427305118273e-1566j)  +/-  (4.25e-495, 4.25e-495j)
| (-3.2276822527149105572 + 2.6580939697855567107e-1586j)  +/-  (5.4e-501, 5.4e-501j)
| (8.4387669441217875807 - 4.6000912794312965139e-1580j)  +/-  (3.88e-495, 3.88e-495j)
| (-4.0514567191649028933 + 1.2590878905468105798e-1584j)  +/-  (2.51e-499, 2.51e-499j)
| (-5.3110308195370260446 - 1.2728603273705535764e-1580j)  +/-  (1.57e-497, 1.57e-497j)
| (9.9221626372550859863 - 3.1579650041217777542e-1583j)  +/-  (2.81e-495, 2.81e-495j)
| (10.997909441340786088 + 7.5232244610964425956e-1585j)  +/-  (1.03e-495, 1.03e-495j)
| (-4.887411810748714214 + 2.6379844442555672979e-1584j)  +/-  (4.78e-498, 4.78e-498j)
| (-1.2029642303011723284 - 1.6362987842728027609e-1605j)  +/-  (5.29e-506, 5.29e-506j)
| (-6.1721127891630710448 + 2.3188405159476342386e-1594j)  +/-  (1.77e-496, 1.77e-496j)
| (7.9687387811758625868 + 2.1984253246518959824e-1617j)  +/-  (1.89e-495, 1.89e-495j)
| (-10.997909441340786088 - 4.045088662820024426e-1668j)  +/-  (8.66e-496, 8.66e-496j)
| (-7.9687387811758625868 - 1.3158956025016142944e-1721j)  +/-  (1.96e-495, 1.96e-495j)
| (-0.8015382630317265855 + 1.3068772001266971283e-1755j)  +/-  (3.6e-507, 3.6e-507j)
| (13.598659156615787863 - 3.0460266944376876098e-1744j)  +/-  (3.03e-498, 3.03e-498j)
| (10.448964909729461348 - 4.8685971599221841298e-1742j)  +/-  (2.1e-495, 2.1e-495j)
| (-3.6382430676068060947 - 6.7524892108312133623e-1754j)  +/-  (3.23e-500, 3.23e-500j)
| (-4.4677069572407988504 + 8.0608442909505523872e-1750j)  +/-  (1.04e-498, 1.04e-498j)
| (11.574803203521677055 - 9.0984610447206735582e-1759j)  +/-  (4.71e-496, 4.71e-496j)
| (-9.413418928509502288 + 4.1620791555398677699e-1783j)  +/-  (3.68e-495, 3.68e-495j)
| (-6.6107947002797749877 - 1.2673409128261761443e-1816j)  +/-  (3.98e-496, 3.98e-496j)
| (-2.008475226640472094 + 1.9904684500424155619e-1846j)  +/-  (1.06e-503, 1.06e-503j)
| (7.5081723365509911424 - 2.5439284610650603031e-1836j)  +/-  (1.49e-495, 1.49e-495j)
| (-9.9221626372550859863 - 1.4356804765244881533e-1872j)  +/-  (2.71e-495, 2.71e-495j)
| (-3.2555578552247731743e-1921 + 8.8914908530869311472e-1921j)  +/-  (5.78e-1919, 5.78e-1919j)
| (-0.40063821105995049206 - 4.8306169973869973048e-1920j)  +/-  (1.08e-508, 1.08e-508j)
| (-7.5081723365509911424 - 6.7136493797901526344e-1923j)  +/-  (1.49e-495, 1.49e-495j)
| (0.40063821105995049206 - 1.5092097183022316245e-1970j)  +/-  (1.17e-508, 1.17e-508j)
-------------------------------------------------
The weights are:
| (0.00089286291334885392657 - 1.6390613397855915873e-1459j)  +/-  (8.84e-137, 7.39e-385j)
| (9.3712287678835697734e-47 + 4.1252527684518348428e-1482j)  +/-  (1.98e-176, 1.65e-424j)
| (1.2734244397327137293e-07 - 5.0988530478672200788e-1462j)  +/-  (3.24e-150, 2.71e-398j)
| (0.04429919014155633415 - 4.7119271004437262723e-1459j)  +/-  (2.4e-121, 2e-369j)
| (1.0935537165661110849e-06 - 3.2873255387107078908e-1461j)  +/-  (3.84e-148, 3.2e-396j)
| (0.0030522259632903189842 + 4.2851403055761002137e-1459j)  +/-  (7.29e-135, 6.09e-383j)
| (0.021440700089215401467 + 4.2268198601740369522e-1459j)  +/-  (1.09e-127, 9.11e-376j)
| (0.0087970077780564754112 - 3.8837125764872514016e-1459j)  +/-  (1.09e-131, 9.09e-380j)
| (0.00021942509449102738995 - 8.7719702567082330097e-1460j)  +/-  (9.73e-142, 8.13e-390j)
| (0.077742307060467862788 + 5.1245742442991446978e-1459j)  +/-  (3.64e-120, 3.04e-368j)
| (4.5111525791571676646e-05 + 1.2054988038197181593e-1460j)  +/-  (1.04e-144, 8.65e-393j)
| (0.1160576513452515956 - 5.327656398774478151e-1459j)  +/-  (4.88e-121, 4.08e-369j)
| (1.2096242825343146554e-08 + 9.5216673199795817704e-1462j)  +/-  (1.64e-154, 1.37e-402j)
| (9.2880342218154709459e-10 + 3.4429751902424102726e-1463j)  +/-  (4.18e-157, 3.49e-405j)
| (7.7204093582151220506e-06 + 2.9377280279648139226e-1461j)  +/-  (3.7e-148, 3.09e-396j)
| (6.5184766419075549797e-17 - 2.95491662789408448e-1467j)  +/-  (8.05e-173, 6.72e-421j)
| (1.3977653698327198173e-33 - 2.0469550440646480119e-1475j)  +/-  (5.6e-178, 4.67e-426j)
| (9.3712287678835697734e-47 - 2.368796589693115651e-1482j)  +/-  (1.76e-186, 1.47e-434j)
| (2.7668880796351236181e-12 - 2.7148009966913704073e-1464j)  +/-  (1.88e-162, 1.57e-410j)
| (5.7039803251286354776e-11 + 1.676583982364146042e-1463j)  +/-  (3.92e-160, 3.27e-408j)
| (4.1939484179227371596e-25 - 2.0352369432694205227e-1471j)  +/-  (2.27e-179, 1.9e-427j)
| (3.7088060732095639449e-37 - 1.6373951689400252098e-1477j)  +/-  (1.76e-184, 1.47e-432j)
| (0.0087970077780564754112 - 6.8063513340030693405e-1460j)  +/-  (3.51e-151, 2.93e-399j)
| (1.9132142559222252681e-30 - 4.0283712592115579912e-1474j)  +/-  (2.6e-182, 2.17e-430j)
| (2.2364824894989936017e-41 + 1.2170528600705840495e-1479j)  +/-  (4.9e-186, 4.09e-434j)
| (2.7668880796351236181e-12 + 6.8662208317811284549e-1465j)  +/-  (1.3e-173, 1.09e-421j)
| (1.2096242825343146554e-08 - 5.1701661829580047547e-1463j)  +/-  (3.86e-170, 3.22e-418j)
| (0.0030522259632903189842 + 3.7584345161003851034e-1460j)  +/-  (1.47e-157, 1.23e-405j)
| (1.0277368048053693301e-18 - 9.394595187352135547e-1468j)  +/-  (1.65e-176, 1.38e-424j)
| (1.3977653698327198173e-33 + 1.0470300880723625938e-1475j)  +/-  (5.13e-184, 4.28e-432j)
| (1.1444908106729465443e-20 + 8.9606813030662158537e-1469j)  +/-  (3.57e-178, 2.99e-426j)
| (0.04429919014155633415 - 1.7618256066419492281e-1459j)  +/-  (9.62e-153, 8.03e-401j)
| (3.7088060732095639449e-37 + 3.0811181512040568016e-1477j)  +/-  (8.17e-187, 6.82e-435j)
| (1.0277368048053693301e-18 + 3.5697033492980753057e-1468j)  +/-  (2.78e-179, 2.32e-427j)
| (0.00089286291334885392657 - 1.9127720930439034298e-1460j)  +/-  (1.04e-163, 8.68e-412j)
| (6.5184766419075549797e-17 + 8.3600414419571856962e-1467j)  +/-  (6.04e-176, 5.05e-424j)
| (4.5111525791571676646e-05 - 3.8426325639917127899e-1461j)  +/-  (5.34e-168, 4.46e-416j)
| (1.2734244397327137293e-07 + 1.7568904755757465185e-1462j)  +/-  (6.97e-172, 5.82e-420j)
| (8.6411169244947932162e-23 - 7.0900289426352216197e-1470j)  +/-  (1.65e-180, 1.38e-428j)
| (1.2179530564067152341e-27 - 2.2418417160169098977e-1472j)  +/-  (1.03e-183, 8.64e-432j)
| (1.0935537165661110849e-06 - 5.4016037329647690864e-1462j)  +/-  (7.16e-172, 5.99e-420j)
| (0.077742307060467862788 + 2.5279058500837388149e-1459j)  +/-  (2.24e-158, 1.87e-406j)
| (9.2880342218154709459e-10 + 1.370069641833210992e-1463j)  +/-  (2.58e-175, 2.15e-423j)
| (3.0158661318419225693e-15 - 6.4417231503195160729e-1466j)  +/-  (1.59e-176, 1.33e-424j)
| (1.2179530564067152341e-27 + 1.0560506819656542773e-1472j)  +/-  (1.48e-185, 1.24e-433j)
| (3.0158661318419225693e-15 + 2.0904244568072801737e-1466j)  +/-  (6.56e-180, 5.48e-428j)
| (0.1160576513452515956 - 3.3690108632726990533e-1459j)  +/-  (4.98e-164, 4.15e-412j)
| (2.2364824894989936017e-41 - 2.2053913427440960397e-1479j)  +/-  (3.81e-191, 3.18e-439j)
| (4.1939484179227371596e-25 + 4.5233945170975528605e-1471j)  +/-  (3.28e-183, 2.75e-431j)
| (0.00021942509449102738995 + 8.9515918769702785623e-1461j)  +/-  (4.54e-172, 3.8e-420j)
| (7.7204093582151220506e-06 + 1.5087902717029952702e-1461j)  +/-  (9.26e-174, 7.75e-422j)
| (1.9132142559222252681e-30 + 8.1960720409900977029e-1474j)  +/-  (2.27e-186, 1.89e-434j)
| (1.1444908106729465443e-20 - 3.6259891422329069387e-1469j)  +/-  (3.15e-184, 2.63e-432j)
| (5.7039803251286354776e-11 - 3.2514293620683634092e-1464j)  +/-  (4.07e-179, 3.58e-427j)
| (0.021440700089215401467 + 1.1383753332098428436e-1459j)  +/-  (6.83e-173, 5.75e-421j)
| (1.0446062071534588904e-13 + 4.3853799911904706513e-1465j)  +/-  (1.17e-179, 9.77e-428j)
| (8.6411169244947932162e-23 + 3.0336873683294486363e-1470j)  +/-  (2.28e-185, 1.8e-433j)
| (0.15981414117778535617 - 4.8360416564857049496e-1459j)  +/-  (1.29e-173, 8.63e-422j)
| (0.14753749310915864445 + 4.178988159612688425e-1459j)  +/-  (1.2e-173, 8.44e-422j)
| (1.0446062071534588904e-13 - 1.2805617301595080132e-1465j)  +/-  (4.15e-181, 4.06e-429j)
| (0.14753749310915864445 + 5.2366063349748591475e-1459j)  +/-  (1.06e-173, 6.63e-422j)
