Starting with polynomial:
P : 1099511627776*t^40 - 10720238370816*t^38 + 48309792145408*t^36 - 133487583559680*t^34 + 252995048570880*t^32 - 348570955808768*t^30 + 361019918516224*t^28 - 286692288233472*t^26 + 176467791052800*t^24 - 84557483212800*t^22 + 31504481648640*t^20 - 9069471989760*t^18 + 1993720135680*t^16 - 328635187200*t^14 + 39557939200*t^12 - 3347210240*t^10 + 188280576*t^8 - 6460608*t^6 + 117040*t^4 - 840*t^2 + 1
Extension levels are: 40
-------------------------------------------------
Ending with final polynomial:
P : 1099511627776*t^40 - 10720238370816*t^38 + 48309792145408*t^36 - 133487583559680*t^34 + 252995048570880*t^32 - 348570955808768*t^30 + 361019918516224*t^28 - 286692288233472*t^26 + 176467791052800*t^24 - 84557483212800*t^22 + 31504481648640*t^20 - 9069471989760*t^18 + 1993720135680*t^16 - 328635187200*t^14 + 39557939200*t^12 - 3347210240*t^10 + 188280576*t^8 - 6460608*t^6 + 117040*t^4 - 840*t^2 + 1
-------------------------------------------------
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
-------------------------------------------------
The nodes are:
| (0.97369542387777904436 + 6.7476907309721630213e-933j)  +/-  (4.28e-242, 4.28e-242j)
| (0.98828042378034852632 + 7.6591934843152101095e-961j)  +/-  (3.19e-242, 3.19e-242j)
| (-0.92750245110209466461 - 3.206696884189296808e-975j)  +/-  (2.54e-242, 2.54e-242j)
| (0.99706580118374046214 + 3.2864386521326924981e-976j)  +/-  (9.15e-243, 9.15e-243j)
| (0.89616555696105561114 - 3.1557508954384852467e-980j)  +/-  (1.47e-242, 1.47e-242j)
| (0.92750245110209466461 - 7.8459562476413578363e-983j)  +/-  (2.97e-242, 2.97e-242j)
| (-0.98828042378034852632 - 1.4196034749795366397e-983j)  +/-  (2.53e-242, 2.53e-242j)
| (-0.89616555696105561114 + 1.9478762012612523128e-985j)  +/-  (1.53e-242, 1.53e-242j)
| (-0.97369542387777904436 - 4.0821189861985100524e-984j)  +/-  (3.64e-242, 3.64e-242j)
| (-0.47771981851226292267 - 5.82827293859124907e-992j)  +/-  (5.99e-248, 5.99e-248j)
| (0.85956960698720116004 + 1.5542605125632171544e-987j)  +/-  (6.61e-243, 6.61e-243j)
| (-0.85956960698720116004 - 3.2144947737185903874e-987j)  +/-  (6.06e-243, 6.06e-243j)
| (-0.95339639205493054595 + 4.1546137102704428303e-987j)  +/-  (4.35e-242, 4.35e-242j)
| (-0.72052159360078700864 - 5.807941263742641113e-992j)  +/-  (1.55e-244, 1.55e-244j)
| (-0.99706580118374046214 + 4.779941503329603979e-990j)  +/-  (8.39e-243, 8.39e-243j)
| (0.8179293607667176653 + 1.0609887026076051119e-990j)  +/-  (2.2e-243, 2.2e-243j)
| (0.77148917982194292363 - 1.2250918174287306719e-992j)  +/-  (6.23e-244, 6.23e-244j)
| (-0.8179293607667176653 - 3.3428401486500206885e-994j)  +/-  (2.1e-243, 2.1e-243j)
| (-0.77148917982194292363 + 1.4938825176121212557e-996j)  +/-  (6.03e-244, 6.03e-244j)
| (0.95339639205493054595 + 7.9294620353537799047e-998j)  +/-  (3.62e-242, 3.62e-242j)
| (0.47771981851226292267 - 6.2388788694624720422e-1004j)  +/-  (5.42e-248, 5.42e-248j)
| (0.66532570016556536356 + 2.9079386259602524591e-1003j)  +/-  (2.73e-245, 2.73e-245j)
| (0.11468342539840043433 - 4.4105187461227262605e-1009j)  +/-  (6.08e-254, 6.08e-254j)
| (-0.60622541096663801827 + 9.4144426191867133059e-1013j)  +/-  (4.81e-246, 4.81e-246j)
| (-0.54356755000122115073 - 2.4432430676005154879e-1013j)  +/-  (5.2e-247, 5.2e-247j)
| (-0.038302733690035348803 + 1.5094819443713043676e-1016j)  +/-  (3.6e-255, 3.6e-255j)
| (0.72052159360078700864 - 5.8538149844865910257e-1023j)  +/-  (1.39e-244, 1.39e-244j)
| (0.40906863717133988836 + 2.3915611693298024866e-1025j)  +/-  (5.02e-249, 5.02e-249j)
| (-0.19039110916466836871 - 2.510169285852045274e-1025j)  +/-  (9.59e-253, 9.59e-253j)
| (-0.66532570016556536356 - 5.2091515860569664196e-1028j)  +/-  (2.6e-245, 2.6e-245j)
| (0.038302733690035348803 - 1.4200052865916429847e-1028j)  +/-  (3.6e-255, 3.6e-255j)
| (0.33801687840850275828 + 2.9432517037261990532e-1033j)  +/-  (2.86e-250, 2.86e-250j)
| (0.54356755000122115073 - 1.9924958845384723242e-1034j)  +/-  (5.19e-247, 5.19e-247j)
| (-0.11468342539840043433 + 7.671706353813417225e-1037j)  +/-  (3.57e-254, 3.57e-254j)
| (-0.40906863717133988836 - 2.8591392362312984544e-1039j)  +/-  (3.85e-249, 3.85e-249j)
| (-0.26498150219666168233 + 2.8525571170849653153e-1041j)  +/-  (1.92e-251, 1.92e-251j)
| (0.19039110916466836871 - 9.006785060485842863e-1040j)  +/-  (1.11e-252, 1.11e-252j)
| (0.60622541096663801827 - 1.7858326362901786257e-1047j)  +/-  (3.96e-246, 3.96e-246j)
| (0.26498150219666168233 + 2.707567235588027335e-1051j)  +/-  (1.65e-251, 1.65e-251j)
| (-0.33801687840850275828 + 1.4670041695390674798e-1072j)  +/-  (3.1e-250, 3.1e-250j)
-------------------------------------------------
The weights are:
| (0.0012662736955968827909 - 2.4037300926183296326e-934j)  +/-  (2.1e-75, 6.76e-193j)
| (0.00056833668225694456155 - 2.6293864851250633793e-934j)  +/-  (1.35e-75, 4.34e-193j)
| (0.0034082732487708901385 + 1.2096570331794198747e-935j)  +/-  (5.87e-78, 1.89e-195j)
| (0.00014292166121526187409 + 4.1265536966378592886e-935j)  +/-  (6.18e-76, 1.99e-193j)
| (0.0048021291345531948991 + 4.1794579997101065068e-934j)  +/-  (3.69e-77, 1.19e-194j)
| (0.0034082732487708901385 - 4.9786736872361828962e-934j)  +/-  (8.83e-77, 2.84e-194j)
| (0.00056833668225694456155 - 1.9546418818122445974e-936j)  +/-  (4e-79, 1.29e-196j)
| (0.0048021291345531948991 - 1.7329246709891553321e-935j)  +/-  (5.49e-79, 1.77e-196j)
| (0.0012662736955968827909 + 4.3876262890424511449e-936j)  +/-  (3.32e-79, 1.07e-196j)
| (0.018823994512210014033 - 8.7513545111149121862e-935j)  +/-  (2.59e-81, 8.33e-199j)
| (0.0063692705059480131382 - 3.7658321952907745654e-934j)  +/-  (2.61e-79, 8.39e-197j)
| (0.0063692705059480131382 + 2.3443346615170942646e-935j)  +/-  (7.05e-80, 2.27e-197j)
| (0.0022203736491863699354 - 7.7746138341925595935e-936j)  +/-  (2.51e-79, 8.09e-197j)
| (0.011728015442804446966 - 4.6710085118780325561e-935j)  +/-  (8.14e-82, 2.62e-199j)
| (0.00014292166121526187409 + 4.8934957536890938773e-937j)  +/-  (3.89e-80, 1.25e-197j)
| (0.0080729648974572834356 + 3.49715909371068965e-934j)  +/-  (4.11e-82, 1.32e-199j)
| (0.009873279156528434528 - 3.2947466365287407467e-934j)  +/-  (7.15e-83, 2.3e-200j)
| (0.0080729648974572834356 - 3.0404731435351923881e-935j)  +/-  (1.11e-81, 3.56e-199j)
| (0.009873279156528434528 + 3.8174663074365848715e-935j)  +/-  (3.08e-82, 9.89e-200j)
| (0.0022203736491863699354 + 7.3808420138765386386e-934j)  +/-  (5.13e-82, 1.65e-199j)
| (0.018823994512210014033 + 2.5609826756762024485e-934j)  +/-  (2.57e-86, 8.25e-204j)
| (0.013593700309736590663 - 2.9745490080999801832e-934j)  +/-  (3.79e-85, 1.22e-202j)
| (0.02406945638875340298 - 1.8906982447443536095e-934j)  +/-  (1.5e-87, 4.83e-205j)
| (0.015426603685325142467 - 6.5885548441482602302e-935j)  +/-  (1.52e-85, 4.9e-203j)
| (0.01718376386794316937 + 7.6420980522906645226e-935j)  +/-  (6.86e-86, 2.21e-203j)
| (0.024354460990045615392 - 1.6238801370479934202e-934j)  +/-  (2.96e-88, 9.53e-206j)
| (0.011728015442804446966 + 3.1257978365902923031e-934j)  +/-  (2.78e-86, 8.95e-204j)
| (0.020308850002019089799 - 2.4270516762885523593e-934j)  +/-  (2.92e-88, 9.39e-206j)
| (0.023506127452464569081 - 1.3625454279373733075e-934j)  +/-  (4.04e-89, 1.3e-206j)
| (0.013593700309736590663 + 5.5963943498996227899e-935j)  +/-  (1.15e-86, 3.7e-204j)
| (0.024354460990045615392 + 1.7568703754502271548e-934j)  +/-  (4.98e-89, 1.6e-206j)
| (0.021603526583194425898 + 2.2932017624429534658e-934j)  +/-  (2.31e-89, 7.43e-207j)
| (0.01718376386794316937 - 2.6957268109578759246e-934j)  +/-  (4.52e-89, 1.45e-206j)
| (0.02406945638875340298 + 1.4922492097484447541e-934j)  +/-  (1.88e-89, 6.03e-207j)
| (0.020308850002019089799 + 9.9104281616457422492e-935j)  +/-  (6.89e-90, 2.2e-207j)
| (0.022677678133990258049 + 1.2353661824447354451e-934j)  +/-  (3.07e-90, 9.99e-208j)
| (0.023506127452464569081 + 2.0249100554251125769e-934j)  +/-  (9.38e-91, 3.09e-208j)
| (0.015426603685325142467 + 2.8327195972592389516e-934j)  +/-  (6.53e-91, 2.14e-208j)
| (0.022677678133990258049 - 2.1591498891642727386e-934j)  +/-  (6.01e-91, 1.99e-208j)
| (0.021603526583194425898 - 1.1113253708732582127e-934j)  +/-  (4.34e-91, 1.24e-208j)
