Starting with polynomial:
P : 65536*t^16 - 3932160*t^14 + 89456640*t^12 - 984023040*t^10 + 5535129600*t^8 - 15498362880*t^6 + 19372953600*t^4 - 8302694400*t^2 + 518918400
Extension levels are: 16 32
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P1 : 65536*t^16 - 3932160*t^14 + 89456640*t^12 - 984023040*t^10 + 5535129600*t^8 - 15498362880*t^6 + 19372953600*t^4 - 8302694400*t^2 + 518918400
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 65536*t^48 - 69351526698614895189700116480/2470287875140857532409*t^46 + 6483185255520628227237179228160/1181442027241279689413*t^44 - 17662822601656699941361305705185280/27173166626549432856499*t^42 + 1420244368106473317464713136643072000/27173166626549432856499*t^40 - 1563650765524392407208083095366544506880/516290165904439224273481*t^38 + 202969632141131744148562432035199043276800/1548870497713317672820443*t^36 - 3454122774320349256251509404548973685657600/797902983670496982968107*t^34 + 88339641292219214697462130449819677967545600/797902983670496982968107*t^32 - 1763411648570029685292355538255992706944768000/797902983670496982968107*t^30 + 27577023283679261874215390909748113113065024000/797902983670496982968107*t^28 - 337868655081114150854293389303367895624777664000/797902983670496982968107*t^26 + 3232239741460749275738330658817462235177833800000/797902983670496982968107*t^24 - 1042761209438200118575380869103489825038924400000/34691434072630303607309*t^22 + 312635386213526636900982017302249037095398900000/1825864951191068610911*t^20 - 1347710364467770967700387210114162986700023220000/1825864951191068610911*t^18 + 253633513829700057253880103242555977660940690625/107403820658298153583*t^16 - 586709753912358247347629285570667427295680837500/107403820658298153583*t^14 + 86103829287858517805692188806518089238218384375/9763983696208923053*t^12 - 92335083664388684028910287842094739176658078125/9763983696208923053*t^10 + 489728184462960143062880821019062779702592903125/78111869569671384424*t^8 - 89731446433781977746279189093543480145533234375/39055934784835692212*t^6 + 59942355998203488673427868777948049855725046875/156223739139342768848*t^4 - 3106050752730552990557866526974678670948484375/156223739139342768848*t^2 + 315906529272927452123758867790612666173828125/2499579826229484301568
-------------------------------------------------
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: 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
Positive weights:   48 out of 48
Indefinite weights: 0 out of 48
Negative weights:   0 out of 48
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (6.8954550239247428179 - 2.0966997446587357016e-889j)  +/-  (1.51e-245, 1.51e-245j)
| (8.143733355231601824 + 2.4366089649033025517e-891j)  +/-  (1.68e-247, 1.68e-247j)
| (4.6887389393058183647 + 1.2100174771829055823e-886j)  +/-  (8.46e-244, 8.46e-244j)
| (-5.9223509890866446463 + 1.0352441811648385922e-887j)  +/-  (1.22e-244, 1.22e-244j)
| (5.0704141343845947314 - 2.4027569616182814199e-888j)  +/-  (3.9e-244, 3.9e-244j)
| (7.4615630941656845779 - 2.391838335327014673e-891j)  +/-  (2.64e-246, 2.64e-246j)
| (-3.5176662841227794079 + 3.3498444583725917313e-888j)  +/-  (5.74e-245, 5.74e-245j)
| (5.9223509890866446463 + 3.5924006386348497975e-900j)  +/-  (1.19e-244, 1.19e-244j)
| (-7.4615630941656845779 - 4.5017888440701992843e-902j)  +/-  (2.44e-246, 2.44e-246j)
| (-3.8694479048601226987 + 1.396775028420739306e-901j)  +/-  (1.72e-244, 1.72e-244j)
| (-5.0704141343845947314 - 2.7691569790311620002e-917j)  +/-  (4.06e-244, 4.06e-244j)
| (-6.3893999513964613778 - 2.5296215960356438209e-928j)  +/-  (4.96e-245, 4.96e-245j)
| (-6.8954550239247428179 - 2.1125507597862897181e-931j)  +/-  (1.64e-245, 1.64e-245j)
| (-2.8530812826615545008 - 2.0871059114033202592e-933j)  +/-  (5.34e-246, 5.34e-246j)
| (-8.143733355231601824 - 2.0870137009228291638e-941j)  +/-  (1.78e-247, 1.78e-247j)
| (3.8694479048601226987 - 1.7381341498154125957e-941j)  +/-  (1.66e-244, 1.66e-244j)
| (2.8530812826615545008 + 1.3135122443993479409e-951j)  +/-  (5.51e-246, 5.51e-246j)
| (-4.4255516969592940218 + 3.459901209368400709e-952j)  +/-  (8.89e-244, 8.89e-244j)
| (-1.1062981188370931416 - 1.1895864702982403581e-971j)  +/-  (1.72e-250, 1.72e-250j)
| (4.2102926025980007389 - 2.9466669906503184748e-964j)  +/-  (5.87e-244, 5.87e-244j)
| (1.3802585391988807964 + 4.9698645192945143809e-974j)  +/-  (1.61e-249, 1.61e-249j)
| (1.6599035166667935079 + 2.6631141238105529282e-972j)  +/-  (1.03e-248, 1.03e-248j)
| (-3.1769991619799560268 - 4.4543494075848951545e-968j)  +/-  (1.73e-245, 1.73e-245j)
| (-4.6887389393058183647 + 4.4711332057903464266e-978j)  +/-  (7.12e-244, 7.12e-244j)
| (-1.9517879909162539774 - 1.6001915951412424887e-991j)  +/-  (7.11e-248, 7.11e-248j)
| (3.1769991619799560268 + 1.0770870656432007102e-988j)  +/-  (1.77e-245, 1.77e-245j)
| (1.1062981188370931416 - 1.307419039062626399e-995j)  +/-  (1.65e-250, 1.65e-250j)
| (2.5462021578474813622 + 2.5125933140053202126e-990j)  +/-  (1.58e-246, 1.58e-246j)
| (0.085765960196347086661 + 2.4211092024638012212e-998j)  +/-  (1.24e-254, 1.24e-254j)
| (5.4841047108190165823 - 1.5601701619937783346e-987j)  +/-  (2.46e-244, 2.46e-244j)
| (-0.27348104613815245216 + 2.073792877225680279e-1002j)  +/-  (7.99e-254, 7.99e-254j)
| (6.3893999513964613778 + 2.4286814787350786354e-992j)  +/-  (4.66e-245, 4.66e-245j)
| (0.82295144914465589258 - 2.26530913710798895e-1001j)  +/-  (1.36e-251, 1.36e-251j)
| (-2.248368087522068519 + 3.5087559920462818685e-994j)  +/-  (3.81e-247, 3.81e-247j)
| (4.4255516969592940218 + 5.0356292658842939926e-993j)  +/-  (9.55e-244, 9.55e-244j)
| (-0.53455293472925248282 + 2.9675758338213911103e-1007j)  +/-  (1.03e-252, 1.03e-252j)
| (0.27348104613815245216 - 6.4126091006785027747e-1008j)  +/-  (7.99e-254, 7.99e-254j)
| (0.53455293472925248282 - 5.8541082213394835643e-1007j)  +/-  (1.03e-252, 1.03e-252j)
| (-1.3802585391988807964 - 4.1713480384861523318e-1002j)  +/-  (1.56e-249, 1.56e-249j)
| (3.5176662841227794079 - 4.019536619247294255e-998j)  +/-  (5.59e-245, 5.59e-245j)
| (-0.82295144914465589258 + 6.5594627278312762149e-1005j)  +/-  (1.3e-251, 1.3e-251j)
| (-4.2102926025980007389 + 1.1694666190386282009e-999j)  +/-  (5.99e-244, 5.99e-244j)
| (-0.085765960196347086661 + 2.0029443443716064678e-1019j)  +/-  (1.24e-254, 1.24e-254j)
| (1.9517879909162539774 - 1.5901827079228730639e-1012j)  +/-  (7.02e-248, 7.02e-248j)
| (-5.4841047108190165823 + 5.7786999803603847874e-1013j)  +/-  (2.19e-244, 2.19e-244j)
| (-2.5462021578474813622 + 3.6188899305038706025e-1016j)  +/-  (1.48e-246, 1.48e-246j)
| (-1.6599035166667935079 - 1.9076260652284433177e-1018j)  +/-  (1.13e-248, 1.13e-248j)
| (2.248368087522068519 + 7.4892090228395618241e-1019j)  +/-  (3.55e-247, 3.55e-247j)
-------------------------------------------------
The weights are:
| (6.7154363052014445601e-22 - 6.9381627186328722158e-905j)  +/-  (1.51e-84, 5.56e-206j)
| (6.995774815130317546e-30 - 8.3593047285564026606e-910j)  +/-  (3.37e-88, 1.24e-209j)
| (5.6224426265188406326e-11 - 6.2809447932915775946e-896j)  +/-  (7.34e-78, 2.71e-199j)
| (1.4911363367832731997e-16 + 1.8346518714215084652e-901j)  +/-  (5.96e-85, 2.2e-206j)
| (1.5462461716952316367e-12 - 7.1709050405341048409e-898j)  +/-  (2.07e-79, 7.63e-201j)
| (2.2733984082215258892e-25 + 4.5082417805326191401e-907j)  +/-  (9.36e-87, 3.45e-208j)
| (8.288668044666144789e-07 + 1.284083597264390233e-893j)  +/-  (1.88e-76, 6.92e-198j)
| (1.4911363367832731997e-16 - 3.100924829016607205e-901j)  +/-  (9.98e-83, 3.68e-204j)
| (2.2733984082215258892e-25 - 3.6286163056140204677e-907j)  +/-  (6.53e-91, 2.41e-212j)
| (6.2737814073942022602e-08 + 1.6833454268017250255e-894j)  +/-  (8.94e-79, 3.29e-200j)
| (1.5462461716952316367e-12 + 1.9512340569980995967e-898j)  +/-  (8.21e-84, 3.03e-205j)
| (5.08939828261018078e-19 - 3.5675350333015731001e-903j)  +/-  (4.94e-88, 1.82e-209j)
| (6.7154363052014445601e-22 + 5.045189757577505901e-905j)  +/-  (9.02e-90, 3.32e-211j)
| (5.17885454370117735e-05 + 9.1871640287704639673e-893j)  +/-  (1.93e-77, 7.12e-199j)
| (6.995774815130317546e-30 + 7.3700665604821057905e-910j)  +/-  (4.13e-94, 1.52e-215j)
| (6.2737814073942022602e-08 + 7.3240863941659246264e-895j)  +/-  (2.3e-83, 8.46e-205j)
| (5.17885454370117735e-05 - 3.5734701633054502942e-893j)  +/-  (2.92e-80, 1.08e-201j)
| (2.9619703983684930674e-10 + 6.2947960441632536184e-896j)  +/-  (4.4e-84, 1.62e-205j)
| (0.045991888149643475499 + 1.4446676973909885552e-890j)  +/-  (6.35e-70, 2.34e-191j)
| (3.457412632466538508e-09 - 3.4968741764420912953e-895j)  +/-  (2.56e-84, 9.43e-206j)
| (0.02300105553266721155 + 5.8190360592401129839e-891j)  +/-  (7.13e-73, 2.63e-194j)
| (0.010276478110177702085 - 2.5222028650208674978e-891j)  +/-  (6.88e-75, 2.53e-196j)
| (7.767169313530893251e-06 - 3.9758356483291259719e-893j)  +/-  (8.42e-81, 3.1e-202j)
| (5.6224426265188406326e-11 - 6.0426939479961269653e-897j)  +/-  (4.46e-85, 1.64e-206j)
| (0.0036968413093981673732 - 1.5062539469950670402e-891j)  +/-  (1.25e-77, 4.62e-199j)
| (7.767169313530893251e-06 + 9.4448630473287585667e-894j)  +/-  (8.48e-83, 3.13e-204j)
| (0.045991888149643475499 - 1.1741057462948332715e-890j)  +/-  (7.13e-74, 2.63e-195j)
| (0.00025921152080619102498 + 1.207976862597467641e-892j)  +/-  (4.54e-81, 1.67e-202j)
| (0.094350463935169035233 - 2.475795356051648949e-889j)  +/-  (6.98e-76, 2.57e-197j)
| (2.0844849444550770396e-14 + 1.4511359702865616235e-899j)  +/-  (7.88e-90, 2.91e-211j)
| (0.11846022528101444657 - 1.4530564301868569255e-889j)  +/-  (2.81e-76, 1.03e-197j)
| (5.08939828261018078e-19 + 5.5950774874378917621e-903j)  +/-  (8.07e-93, 2.97e-214j)
| (0.082736828153752671271 + 2.3045219000146308064e-890j)  +/-  (1.83e-77, 6.75e-199j)
| (0.0010675300014207144281 + 6.1829558808878782843e-892j)  +/-  (5.58e-83, 2.06e-204j)
| (2.9619703983684930674e-10 + 2.1285465067677592167e-895j)  +/-  (1.81e-86, 6.66e-208j)
| (0.12009902687517996253 + 5.74479082158455624e-890j)  +/-  (9.6e-78, 3.54e-199j)
| (0.11846022528101444657 + 1.384651669259235858e-889j)  +/-  (1.89e-77, 6.98e-199j)
| (0.12009902687517996253 - 5.2227040362560649065e-890j)  +/-  (8.29e-78, 3.06e-199j)
| (0.02300105553266721155 - 7.6154841665898894228e-891j)  +/-  (5.17e-81, 1.91e-202j)
| (8.288668044666144789e-07 - 2.451102554835106202e-894j)  +/-  (5.55e-85, 2.04e-206j)
| (0.082736828153752671271 - 2.6767458902615524658e-890j)  +/-  (1.66e-79, 6.14e-201j)
| (3.457412632466538508e-09 - 2.4315085960431731894e-895j)  +/-  (1.68e-87, 6.22e-209j)
| (0.094350463935169035233 + 2.5133900419016135159e-889j)  +/-  (1.05e-78, 3.77e-200j)
| (0.0036968413093981673732 + 9.795031888228476903e-892j)  +/-  (7.51e-83, 2.73e-204j)
| (2.0844849444550770396e-14 - 6.2646486134306854898e-900j)  +/-  (1.07e-91, 3.97e-213j)
| (0.00025921152080619102498 - 2.4343163868673166242e-892j)  +/-  (1.26e-84, 4.68e-206j)
| (0.010276478110177702085 + 3.5468141572255570939e-891j)  +/-  (4.31e-83, 1.62e-204j)
| (0.0010675300014207144281 - 3.5855654740579411656e-892j)  +/-  (3.66e-84, 1.21e-205j)
