Starting with polynomial:
P : 1/523022617466601111760007224100074291200000000*t^38 - 1/362204028716482764376736304778444800000000*t^37 + 37/19578596146836906182526286744780800000000*t^36 - 37/45320824413974319866958997094400000000*t^35 + 37/147986365433385534259457949696000000*t^34 - 37/640079435265508366174126080000000*t^33 + 37/3526608458763131494072320000000*t^32 - 37/24107675011076094197760000000*t^31 + 1147/6221335486729314631680000000*t^30 - 1147/62213354867293146316800000*t^29 + 33263/21452880988721774592000000*t^28 - 33263/300997054688698368000000*t^27 + 33263/4954684027797504000000*t^26 - 33263/95282385149952000000*t^25 + 33263/2134325427358924800*t^24 - 33263/55581391337472000*t^23 + 765049/38665315713024000*t^22 - 765049/1358079270912000*t^21 + 765049/55431806976000*t^20 - 765049/2633010831360*t^19 + 14535931/2771590348800*t^18 - 14535931/179640115200*t^17 + 247110827/232475443200*t^16 - 10743949/908107200*t^15 + 10743949/96864768*t^14 - 10743949/12355200*t^13 + 10743949/1900800*t^12 - 10743949/356400*t^11 + 118183439/907200*t^10 - 4075291/9072*t^9 + 4075291/3360*t^8 - 262922/105*t^7 + 920227/240*t^6 - 83657/20*t^5 + 24605/8*t^4 - 1406*t^3 + 703/2*t^2 - 38*t + 1
Extension levels are: 38
-------------------------------------------------
Ending with final polynomial:
P : 1/523022617466601111760007224100074291200000000*t^38 - 1/362204028716482764376736304778444800000000*t^37 + 37/19578596146836906182526286744780800000000*t^36 - 37/45320824413974319866958997094400000000*t^35 + 37/147986365433385534259457949696000000*t^34 - 37/640079435265508366174126080000000*t^33 + 37/3526608458763131494072320000000*t^32 - 37/24107675011076094197760000000*t^31 + 1147/6221335486729314631680000000*t^30 - 1147/62213354867293146316800000*t^29 + 33263/21452880988721774592000000*t^28 - 33263/300997054688698368000000*t^27 + 33263/4954684027797504000000*t^26 - 33263/95282385149952000000*t^25 + 33263/2134325427358924800*t^24 - 33263/55581391337472000*t^23 + 765049/38665315713024000*t^22 - 765049/1358079270912000*t^21 + 765049/55431806976000*t^20 - 765049/2633010831360*t^19 + 14535931/2771590348800*t^18 - 14535931/179640115200*t^17 + 247110827/232475443200*t^16 - 10743949/908107200*t^15 + 10743949/96864768*t^14 - 10743949/12355200*t^13 + 10743949/1900800*t^12 - 10743949/356400*t^11 + 118183439/907200*t^10 - 4075291/9072*t^9 + 4075291/3360*t^8 - 262922/105*t^7 + 920227/240*t^6 - 83657/20*t^5 + 24605/8*t^4 - 1406*t^3 + 703/2*t^2 - 38*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 roots: 424
 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:
| (134.62772828753474037 + 5.6057266781723583133e-573j)  +/-  (9.95e-242, 9.95e-242j)
| (78.550740220420749766 + 6.1051569115538835793e-567j)  +/-  (1.11e-236, 1.11e-236j)
| (100.73580738353035547 - 2.1422166531029552879e-572j)  +/-  (2.68e-238, 2.68e-238j)
| (120.82200951753452306 - 1.3104314802563951177e-577j)  +/-  (3.01e-240, 3.01e-240j)
| (10.667129476366350603 + 4.4484607995122188219e-582j)  +/-  (1.86e-241, 1.86e-241j)
| (32.663603249513356895 - 2.5295009508712749495e-574j)  +/-  (1.02e-236, 1.02e-236j)
| (56.450413076256308806 - 6.9523703060633340087e-586j)  +/-  (5.66e-236, 5.66e-236j)
| (92.583563009234963888 + 1.536918034752205658e-592j)  +/-  (1.17e-237, 1.17e-237j)
| (85.243870229969963325 - 6.2082868079205782355e-594j)  +/-  (3.78e-237, 3.78e-237j)
| (109.97410535894638132 - 2.9293004529941248274e-599j)  +/-  (3.4e-239, 3.4e-239j)
| (61.394877520887775519 - 3.1634386706985575319e-595j)  +/-  (5.14e-236, 5.14e-236j)
| (16.492155785241290762 - 1.6627990564174603575e-603j)  +/-  (2.01e-239, 2.01e-239j)
| (3.8835158623813616161 + 2.5660756597728705827e-610j)  +/-  (8.23e-246, 8.23e-246j)
| (72.393695757771929411 - 1.1644974231738575855e-598j)  +/-  (1.99e-236, 1.99e-236j)
| (14.395887967130328625 - 6.4139787514306376217e-608j)  +/-  (4.71e-240, 4.71e-240j)
| (6.1766424488475034961 - 2.9990462825079323703e-612j)  +/-  (5.63e-244, 5.63e-244j)
| (26.543112424285422318 + 2.0025907599803187477e-603j)  +/-  (2.1e-237, 2.1e-237j)
| (9.0266215371405086692 - 4.3930263079761332564e-620j)  +/-  (2.81e-242, 2.81e-242j)
| (18.749229777218404245 + 1.1448117436201279826e-611j)  +/-  (7.88e-239, 7.88e-239j)
| (23.768172206236078108 + 9.549029075899310261e-615j)  +/-  (7.92e-238, 7.92e-238j)
| (4.9616435945105017882 - 6.6510642394017647597e-642j)  +/-  (7.27e-245, 7.27e-245j)
| (39.612029225871286235 - 1.3413306081421143021e-632j)  +/-  (3.14e-236, 3.14e-236j)
| (21.172526530207101623 - 1.1768372516220250431e-644j)  +/-  (2.77e-238, 2.77e-238j)
| (29.505247864500495662 - 4.5640124532317418922e-664j)  +/-  (5.06e-237, 5.06e-237j)
| (51.825849211346740415 - 2.09323594415409674e-698j)  +/-  (7.04e-236, 7.04e-236j)
| (66.694436577558883438 + 5.1761613323093818138e-726j)  +/-  (3.56e-236, 3.56e-236j)
| (2.1303127444946319801 + 9.6037426741192454582e-765j)  +/-  (5.53e-248, 5.53e-248j)
| (0.90460535928587752446 + 3.2240941774033752814e-772j)  +/-  (1.58e-250, 1.58e-250j)
| (2.9402991064124611825 - 2.3269437893410686714e-764j)  +/-  (6.17e-247, 6.17e-247j)
| (43.428000756882291989 - 5.5252151034428263384e-757j)  +/-  (4.8e-236, 4.8e-236j)
| (12.45562951416464384 - 1.6756890106955092869e-782j)  +/-  (1.02e-240, 1.02e-240j)
| (0.037555152631354608122 + 4.1171658451492546431e-804j)  +/-  (5.67e-255, 5.67e-255j)
| (1.4521383743802574967 + 1.8644583543839631731e-797j)  +/-  (3.44e-249, 3.44e-249j)
| (36.028540262615959514 - 1.7331057826474178499e-783j)  +/-  (1.99e-236, 1.99e-236j)
| (0.19794458664739192746 + 8.6474806948934124894e-816j)  +/-  (1.73e-253, 1.73e-253j)
| (47.492808455383804299 + 9.8081130610476893983e-798j)  +/-  (6.39e-236, 6.39e-236j)
| (7.5307730487089647778 - 1.9624088969571088606e-813j)  +/-  (4.24e-243, 4.24e-243j)
| (0.48677853794905542165 - 2.0986973073545992905e-822j)  +/-  (7.09e-252, 7.09e-252j)
-------------------------------------------------
The weights are:
| (5.5800315203592706165e-58 - 1.7291305436442256786e-611j)  +/-  (2.19e-82, 3.63e-198j)
| (4.928296799396269242e-34 - 2.9180838524238736106e-599j)  +/-  (2.71e-74, 4.49e-190j)
| (1.5392952127854585792e-43 + 3.7097205297484502321e-604j)  +/-  (2.91e-78, 4.81e-194j)
| (4.0320929474629273257e-52 + 1.6094415852889109863e-608j)  +/-  (3.51e-81, 5.81e-197j)
| (3.9931308865298078414e-05 - 6.1308408485739281492e-585j)  +/-  (3.36e-48, 5.56e-164j)
| (2.126021701262529214e-14 + 2.6059625932389498124e-588j)  +/-  (5.06e-64, 8.38e-180j)
| (1.4563309480539152117e-24 - 2.4678590930863596997e-594j)  +/-  (2.06e-71, 3.41e-187j)
| (4.7712053968584392206e-40 - 2.242886052759427982e-602j)  +/-  (1.65e-77, 2.73e-193j)
| (6.6651559075880408773e-37 + 9.0877353365709981554e-601j)  +/-  (1.63e-76, 2.7e-192j)
| (1.719550191139244846e-47 - 3.6125575791829056168e-606j)  +/-  (1.46e-80, 2.42e-196j)
| (1.1102704266630409266e-26 + 1.863197688070201603e-595j)  +/-  (7.87e-74, 1.3e-189j)
| (1.4968256251117479119e-07 + 6.2428344084210468828e-586j)  +/-  (2.75e-61, 4.56e-177j)
| (0.020791734058222757818 + 6.4018908876278445237e-584j)  +/-  (5.39e-47, 8.92e-163j)
| (2.1474560540816444826e-31 + 6.5078433079053946585e-598j)  +/-  (2.12e-75, 3.51e-191j)
| (1.129175089418110257e-06 - 1.4140352991827374469e-585j)  +/-  (4.33e-60, 7.16e-176j)
| (0.0026677061760519588173 + 3.1494085903898855408e-584j)  +/-  (4.91e-53, 8.12e-169j)
| (8.5098260028537278339e-12 + 1.5834053671962890877e-587j)  +/-  (4.85e-67, 8.02e-183j)
| (0.00018838183694730114331 + 1.146567684128723457e-584j)  +/-  (5.58e-57, 9.24e-173j)
| (1.6841675421332124399e-08 - 2.5987765738695919612e-586j)  +/-  (1.37e-63, 2.26e-179j)
| (1.2776335574569934891e-10 - 3.9926381336594994349e-587j)  +/-  (2.61e-66, 4.31e-182j)
| (0.0080251034457167773085 - 4.6744701020575824362e-584j)  +/-  (4.15e-55, 6.87e-171j)
| (2.3152083403207155805e-17 - 2.8146951471286257448e-590j)  +/-  (1.06e-72, 1.75e-188j)
| (1.6006003906967334041e-09 + 1.031842115399833076e-586j)  +/-  (1.31e-65, 2.17e-181j)
| (4.6942014263420787551e-13 - 7.6013850628307367404e-588j)  +/-  (4.93e-69, 8.16e-185j)
| (1.3901716252668765579e-22 + 2.8651941806211015233e-593j)  +/-  (7.96e-76, 1.32e-191j)
| (5.9515111213487742817e-29 - 1.2038313725676606323e-596j)  +/-  (2.38e-78, 3.94e-194j)
| (0.08837126752057706071 + 9.2055040766437619851e-584j)  +/-  (1.62e-60, 2.68e-176j)
| (0.19528594697983313798 + 8.5693092405140617908e-584j)  +/-  (1.37e-60, 2.27e-176j)
| (0.046314700424637759193 - 8.0457119025880020951e-584j)  +/-  (2.74e-61, 4.53e-177j)
| (5.4284048413743012238e-19 + 2.9142270203642642456e-591j)  +/-  (1.18e-74, 1.95e-190j)
| (7.2605223501939735479e-06 + 2.9889372615753313699e-585j)  +/-  (5.7e-67, 9.42e-183j)
| (0.092833803628779768572 - 1.1715426218363713095e-584j)  +/-  (1.27e-63, 2.1e-179j)
| (0.14340920423963469454 - 9.4690732019860830252e-584j)  +/-  (4.71e-63, 7.8e-179j)
| (7.8269395652224448187e-16 + 3.2217162788921010068e-589j)  +/-  (4.55e-73, 7.54e-189j)
| (0.18420400728352925202 + 3.8076006599168635851e-584j)  +/-  (3.97e-65, 6.52e-181j)
| (9.9290737076161909272e-21 - 2.9933746731411488778e-592j)  +/-  (1.43e-75, 2.37e-191j)
| (0.00076400889767505820187 - 1.9668471074601949599e-584j)  +/-  (6.93e-67, 1.15e-182j)
| (0.21709564624048657183 - 6.5409222057533598882e-584j)  +/-  (2.12e-65, 3.44e-181j)
