Starting with polynomial:
P : 1/263130836933693530167218012160000000*t^32 - 1/256963707943060088053923840000000*t^31 + 31/16578303738261941164769280000000*t^30 - 31/55261012460873137215897600000*t^29 + 899/7622208615292846512537600000*t^28 - 899/48611024332224786432000000*t^27 + 899/400090735244648448000000*t^26 - 899/4142951400462336000000*t^25 + 899/53029777925917900800*t^24 - 899/828590280092467200*t^23 + 20677/360256643518464000*t^22 - 20677/8187650989056000*t^21 + 20677/222793224192000*t^20 - 20677/7240779786240*t^19 + 392863/5335311421440*t^18 - 392863/247005158400*t^17 + 6678671/232475443200*t^16 - 392863/908107200*t^15 + 392863/72648576*t^14 - 20677/370656*t^13 + 268801/570240*t^12 - 268801/83160*t^11 + 268801/15120*t^10 - 58435/756*t^9 + 58435/224*t^8 - 23374/35*t^7 + 6293/5*t^6 - 25172/15*t^5 + 4495/3*t^4 - 2480/3*t^3 + 248*t^2 - 32*t + 1
Extension levels are: 32
-------------------------------------------------
Ending with final polynomial:
P : 1/263130836933693530167218012160000000*t^32 - 1/256963707943060088053923840000000*t^31 + 31/16578303738261941164769280000000*t^30 - 31/55261012460873137215897600000*t^29 + 899/7622208615292846512537600000*t^28 - 899/48611024332224786432000000*t^27 + 899/400090735244648448000000*t^26 - 899/4142951400462336000000*t^25 + 899/53029777925917900800*t^24 - 899/828590280092467200*t^23 + 20677/360256643518464000*t^22 - 20677/8187650989056000*t^21 + 20677/222793224192000*t^20 - 20677/7240779786240*t^19 + 392863/5335311421440*t^18 - 392863/247005158400*t^17 + 6678671/232475443200*t^16 - 392863/908107200*t^15 + 392863/72648576*t^14 - 20677/370656*t^13 + 268801/570240*t^12 - 268801/83160*t^11 + 268801/15120*t^10 - 58435/756*t^9 + 58435/224*t^8 - 23374/35*t^7 + 6293/5*t^6 - 25172/15*t^5 + 4495/3*t^4 - 2480/3*t^3 + 248*t^2 - 32*t + 1
-------------------------------------------------
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: 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:
| (111.75139809793769521 + 7.5636388001003435571e-672j)  +/-  (2.1e-243, 2.1e-243j)
| (65.975377287935052797 - 1.1761878555538120965e-684j)  +/-  (1.89e-239, 1.89e-239j)
| (80.187446977913523067 + 4.1214160399553668369e-712j)  +/-  (2.26e-240, 2.26e-240j)
| (88.735340417892398689 - 1.2576975170702339986e-733j)  +/-  (4.09e-241, 4.09e-241j)
| (49.224394987308639177 - 6.5206413688566203775e-757j)  +/-  (8.07e-239, 8.07e-239j)
| (19.85586094033605474 + 7.4148609614781736781e-770j)  +/-  (1.47e-240, 1.47e-240j)
| (44.509207995754937976 + 9.0432570722943049815e-777j)  +/-  (8.37e-239, 8.37e-239j)
| (25.628636022459247767 - 4.3785213196825424073e-786j)  +/-  (9.28e-240, 9.28e-240j)
| (4.6164567697497673878 - 1.5769945250214371346e-798j)  +/-  (4.09e-246, 4.09e-246j)
| (98.829542868283972559 - 2.3715401528555083405e-791j)  +/-  (4.87e-242, 4.87e-242j)
| (3.4922132730219944896 + 2.7061433679208471066e-805j)  +/-  (4.17e-247, 4.17e-247j)
| (40.145719771539441536 - 4.5758298763551130163e-796j)  +/-  (7.65e-239, 7.65e-239j)
| (32.346629153964737003 + 1.0764906651576440972e-806j)  +/-  (3.5e-239, 3.5e-239j)
| (28.862101816323474744 - 2.038185993281938227e-817j)  +/-  (1.89e-239, 1.89e-239j)
| (1.7224087764446454411 - 5.3838789363588385615e-837j)  +/-  (2.83e-249, 2.83e-249j)
| (2.5283367064257948811 - 5.1038768343184576323e-835j)  +/-  (4.46e-248, 4.46e-248j)
| (8.9829409242125961034 - 1.6562772187810724097e-830j)  +/-  (1.23e-243, 1.23e-243j)
| (17.292454336715314789 + 2.8271147119888267808e-826j)  +/-  (4.28e-241, 4.28e-241j)
| (12.763697986742725115 - 3.4164514810254826189e-831j)  +/-  (3.42e-242, 3.42e-242j)
| (36.100494805751973804 - 3.5423408458261636764e-835j)  +/-  (5.64e-239, 5.64e-239j)
| (59.892509162134018196 + 1.9887914279288861326e-858j)  +/-  (3.99e-239, 3.99e-239j)
| (0.57688462930188642649 - 1.2364459482921892413e-906j)  +/-  (6.93e-252, 6.93e-252j)
| (10.783018632539972068 + 8.3751025462573247405e-881j)  +/-  (6.64e-243, 6.64e-243j)
| (72.687628090662708639 - 3.6683661902244797256e-884j)  +/-  (7.63e-240, 7.63e-240j)
| (54.333721333396907333 - 2.133528073764852491e-902j)  +/-  (6.55e-239, 6.55e-239j)
| (7.3581267331862411132 - 1.4481590806842349378e-917j)  +/-  (2.17e-244, 2.17e-244j)
| (1.072448753817817633 + 8.3239990746232322578e-924j)  +/-  (1.6e-250, 1.6e-250j)
| (5.9039585041742439466 - 6.3058304267608855766e-918j)  +/-  (3.17e-245, 3.17e-245j)
| (0.044489365833267018419 - 1.4118438290557262598e-928j)  +/-  (5.91e-255, 5.91e-255j)
| (14.93113975552255732 - 5.06498992935786924e-914j)  +/-  (1.25e-241, 1.25e-241j)
| (22.630889013196774489 + 8.6962065196889084871e-913j)  +/-  (3.97e-240, 3.97e-240j)
| (0.23452610951961853745 - 1.0973868015009136827e-928j)  +/-  (2.31e-253, 2.31e-253j)
-------------------------------------------------
The weights are:
| (4.5105361938989742322e-48 - 1.6904544712542490923e-719j)  +/-  (2.26e-93, 5.56e-211j)
| (1.418560545463036906e-28 + 3.2935662884626620726e-711j)  +/-  (9.16e-87, 2.26e-204j)
| (1.1922487600982223565e-34 + 4.6953453043769203175e-714j)  +/-  (2.29e-89, 5.65e-207j)
| (2.671511219240136986e-38 - 1.0153493768499145792e-715j)  +/-  (9.07e-91, 2.23e-208j)
| (2.0544296737880454267e-21 - 7.7610888326712080711e-708j)  +/-  (1.06e-84, 2.6e-202j)
| (6.3506022266258067424e-09 - 5.885140543321103883e-702j)  +/-  (3.88e-76, 9.56e-194j)
| (2.119792290163618612e-19 + 6.9660957388529440845e-707j)  +/-  (5.77e-84, 1.42e-201j)
| (2.3058994918913360793e-11 - 4.2996614751453733254e-703j)  +/-  (2.35e-79, 5.79e-197j)
| (0.011918214834838557057 - 3.3335505327686084696e-699j)  +/-  (3.81e-64, 9.38e-182j)
| (1.3386169421062562827e-42 + 1.3519827556448435816e-717j)  +/-  (8.24e-94, 2.03e-211j)
| (0.031760912509175070306 + 4.6838577462067175436e-699j)  +/-  (1.48e-62, 3.64e-180j)
| (1.5421338333938233722e-17 - 5.2968285616808841871e-706j)  +/-  (1.44e-83, 3.54e-201j)
| (3.2378016577292664623e-14 - 1.9636937842017246669e-704j)  +/-  (2.99e-82, 7.35e-200j)
| (9.7993792887270940633e-13 + 9.7742331006469044767e-704j)  +/-  (2.63e-81, 6.48e-199j)
| (0.12998378628607176061 + 6.5473753586391726481e-699j)  +/-  (1.84e-62, 4.52e-180j)
| (0.07057862386571744156 - 5.8885153532749310182e-699j)  +/-  (6.7e-65, 1.65e-182j)
| (0.00021486491880136418802 + 6.5093630915900483683e-700j)  +/-  (8.64e-75, 2.13e-192j)
| (7.6045678791207814811e-08 + 1.8488268623839973827e-701j)  +/-  (5.38e-79, 1.32e-196j)
| (5.9345416128686328784e-06 + 1.3388594621458024188e-700j)  +/-  (1.42e-77, 3.5e-195j)
| (8.1718234434207194332e-16 + 3.4599254322466846187e-705j)  +/-  (8.05e-84, 1.98e-201j)
| (5.6612941303973593711e-26 - 5.4478033393062428673e-710j)  +/-  (3.09e-90, 7.61e-208j)
| (0.23521322966984800539 + 5.0445872324086079827e-699j)  +/-  (1.93e-71, 4.75e-189j)
| (3.9203419679879472043e-05 - 3.1007443347019248276e-700j)  +/-  (7.84e-79, 1.93e-196j)
| (1.9133754944542243094e-31 - 1.4411075374320618511e-712j)  +/-  (6.46e-93, 1.59e-210j)
| (1.3469825866373951558e-23 + 7.1996738944509944923e-709j)  +/-  (4.16e-89, 1.02e-206j)
| (0.00098080330661495513223 - 1.2390745545475957715e-699j)  +/-  (3.29e-79, 8.11e-197j)
| (0.19590333597288104341 - 6.3052499769985076775e-699j)  +/-  (1.08e-76, 2.65e-194j)
| (0.0037388162946115247897 + 2.1371962730538884379e-699j)  +/-  (9.21e-79, 2.27e-196j)
| (0.10921834195238497114 + 9.5005467698419005199e-700j)  +/-  (3.4e-78, 8.34e-196j)
| (7.4164045786675522191e-07 - 5.2339466775458171899e-701j)  +/-  (1.02e-81, 2.51e-199j)
| (4.2813829710409288788e-10 + 1.6822707001650366368e-702j)  +/-  (2.01e-83, 4.94e-201j)
| (0.21044310793881323294 - 3.0330257556682900137e-699j)  +/-  (1.46e-78, 3.52e-196j)
