Starting with polynomial:
P : 1/12413915592536072670862289047373375038521486354677760000000000*t^48 - 1/5387984198149337096728424065700249582691617341440000000000*t^47 + 47/229275923325503706243762726200010620540068823040000000000*t^46 - 47/325060382786630963483595547542548138761912320000000000*t^45 + 47/642094583282234001942904785269230891381555200000000*t^44 - 47/1658302126245439054604609466087889698816000000000*t^43 + 2021/231390994359828705293666437128542748672000000000*t^42 - 2021/918218231586621846403438242573582336000000000*t^41 + 82861/179164532992511579786036730258259968000000000*t^40 - 82861/1007800498082877636296456607702712320000000*t^39 + 82861/6625907285226019962501358367539200000000*t^38 - 82861/50474362976098490019054669004800000000*t^37 + 3065857/16370063667923834600774487244800000000*t^36 - 3065857/164205885557877970532460134400000000*t^35 + 3065857/1876638692090033948942401536000000*t^34 - 3065857/24350848080753035669667840000000*t^33 + 3065857/357771872628143774760960000000*t^32 - 3065857/5939572104178168135680000000*t^31 + 95041567/3448783802426033111040000000*t^30 - 95041567/72807658051216254566400000*t^29 + 2756205443/50212177966356037632000000*t^28 - 2756205443/1344969052670251008000000*t^27 + 2756205443/40588915169746944000000*t^26 - 2756205443/1380983800154112000000*t^25 + 2756205443/53029777925917900800*t^24 - 2756205443/2301639666923520000*t^23 + 63392725189/2601853536522240000*t^22 - 63392725189/145144722078720000*t^21 + 63392725189/9215537909760000*t^20 - 2185956041/23038844774400*t^19 + 41533164779/36377123328000*t^18 - 1339779509/112275072000*t^17 + 22776251653/211341312000*t^16 - 22776251653/27243216000*t^15 + 1339779509/242161920*t^14 - 1339779509/43243200*t^13 + 17417133617/119750400*t^12 - 470733341/831600*t^11 + 272529829/151200*t^10 - 20963833/4536*t^9 + 20963833/2240*t^8 - 511313/35*t^7 + 511313/30*t^6 - 71346/5*t^5 + 16215/2*t^4 - 8648/3*t^3 + 564*t^2 - 48*t + 1
Extension levels are: 48
-------------------------------------------------
Ending with final polynomial:
P : 1/12413915592536072670862289047373375038521486354677760000000000*t^48 - 1/5387984198149337096728424065700249582691617341440000000000*t^47 + 47/229275923325503706243762726200010620540068823040000000000*t^46 - 47/325060382786630963483595547542548138761912320000000000*t^45 + 47/642094583282234001942904785269230891381555200000000*t^44 - 47/1658302126245439054604609466087889698816000000000*t^43 + 2021/231390994359828705293666437128542748672000000000*t^42 - 2021/918218231586621846403438242573582336000000000*t^41 + 82861/179164532992511579786036730258259968000000000*t^40 - 82861/1007800498082877636296456607702712320000000*t^39 + 82861/6625907285226019962501358367539200000000*t^38 - 82861/50474362976098490019054669004800000000*t^37 + 3065857/16370063667923834600774487244800000000*t^36 - 3065857/164205885557877970532460134400000000*t^35 + 3065857/1876638692090033948942401536000000*t^34 - 3065857/24350848080753035669667840000000*t^33 + 3065857/357771872628143774760960000000*t^32 - 3065857/5939572104178168135680000000*t^31 + 95041567/3448783802426033111040000000*t^30 - 95041567/72807658051216254566400000*t^29 + 2756205443/50212177966356037632000000*t^28 - 2756205443/1344969052670251008000000*t^27 + 2756205443/40588915169746944000000*t^26 - 2756205443/1380983800154112000000*t^25 + 2756205443/53029777925917900800*t^24 - 2756205443/2301639666923520000*t^23 + 63392725189/2601853536522240000*t^22 - 63392725189/145144722078720000*t^21 + 63392725189/9215537909760000*t^20 - 2185956041/23038844774400*t^19 + 41533164779/36377123328000*t^18 - 1339779509/112275072000*t^17 + 22776251653/211341312000*t^16 - 22776251653/27243216000*t^15 + 1339779509/242161920*t^14 - 1339779509/43243200*t^13 + 17417133617/119750400*t^12 - 470733341/831600*t^11 + 272529829/151200*t^10 - 20963833/4536*t^9 + 20963833/2240*t^8 - 511313/35*t^7 + 511313/30*t^6 - 71346/5*t^5 + 16215/2*t^4 - 8648/3*t^3 + 564*t^2 - 48*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 roots: 848
 current precision for weights: 212
Linear system for weights solvable: 0
  current precision for roots: 424
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (172.9963281485632535 - 8.9595316516466007518e-1087j)  +/-  (4.64e-494, 4.64e-494j)
| (118.45642504628363202 - 2.5673627456697185851e-1086j)  +/-  (1.21e-488, 1.21e-488j)
| (157.91561202297798952 - 1.4470783098779230207e-1094j)  +/-  (2.19e-492, 2.19e-492j)
| (145.98643270946345469 + 7.5102721495266550518e-1095j)  +/-  (3.68e-491, 3.68e-491j)
| (135.76258957786430197 + 3.4663003838807672678e-1105j)  +/-  (3.48e-490, 3.48e-490j)
| (18.476882386874112817 - 1.4931875936260138565e-1125j)  +/-  (2.31e-491, 2.31e-491j)
| (33.065930662498744167 - 4.4955884606140487586e-1123j)  +/-  (3.57e-488, 3.57e-488j)
| (16.500081428964586133 - 5.0231361741505565569e-1145j)  +/-  (4.63e-492, 4.63e-492j)
| (74.980977518911310591 - 3.4808845854403905795e-1158j)  +/-  (2.42e-486, 2.42e-486j)
| (20.577998634022209505 - 5.2719405600130999236e-1190j)  +/-  (1.02e-490, 1.02e-490j)
| (12.908657778285530895 - 2.8112537086804039136e-1193j)  +/-  (1.71e-493, 1.71e-493j)
| (27.659128044480529595 + 7.5755306886753062492e-1187j)  +/-  (4.07e-489, 4.07e-489j)
| (11.289259168009527146 - 2.7499686416508373414e-1212j)  +/-  (3.11e-494, 3.11e-494j)
| (8.3927625990912246254 - 7.2996933552957373587e-1212j)  +/-  (6.04e-496, 6.04e-496j)
| (91.275707993668089451 - 5.8521115127743324636e-1206j)  +/-  (6.62e-487, 6.62e-487j)
| (22.806462290521371662 + 1.28717535274605776e-1227j)  +/-  (3.75e-490, 3.75e-490j)
| (9.7845831846873232831 - 3.9073989214931455566e-1233j)  +/-  (4.35e-495, 4.35e-495j)
| (39.064848764197770183 - 1.3058934400942242037e-1223j)  +/-  (1.73e-487, 1.73e-487j)
| (97.38666771358153183 - 4.8027874787826390555e-1237j)  +/-  (3.2e-487, 3.2e-487j)
| (56.990624814804475826 - 2.2059879636637021982e-1262j)  +/-  (2.25e-486, 2.25e-486j)
| (30.291071001008567239 + 2.3516171873084216748e-1279j)  +/-  (1.32e-488, 1.32e-488j)
| (110.90422088497627549 - 4.4106978676605190969e-1301j)  +/-  (4.22e-488, 4.22e-488j)
| (1.1513938340264346398 + 3.9095788032247140545e-1346j)  +/-  (2.67e-504, 2.67e-504j)
| (80.106857350324393802 + 8.3473072279567265484e-1347j)  +/-  (1.89e-486, 1.89e-486j)
| (65.520206929018606521 - 1.4504850116739980205e-1398j)  +/-  (2.89e-486, 2.89e-486j)
| (3.922752413046480494 + 8.73034916433610953e-1444j)  +/-  (1.11e-499, 1.11e-499j)
| (7.112110535890743354 - 2.1244420713823269064e-1445j)  +/-  (8.09e-497, 8.09e-497j)
| (103.90883335717625467 + 6.3482381889896871262e-1444j)  +/-  (1.23e-487, 1.23e-487j)
| (70.125706236113191552 - 3.9973185825202257199e-1465j)  +/-  (2.71e-486, 2.71e-486j)
| (126.68342576888583093 + 3.0564634867061506003e-1475j)  +/-  (2.25e-489, 2.25e-489j)
| (25.165612156439108006 + 6.6219277342710523138e-1478j)  +/-  (1.34e-489, 1.34e-489j)
| (3.0731108616526388358 - 1.3426823249240958579e-1489j)  +/-  (8.1e-501, 8.1e-501j)
| (14.644840883209705821 + 6.1013694549903607033e-1481j)  +/-  (9.6e-493, 9.6e-493j)
| (45.702792038511470368 - 1.1804153789794164742e-1474j)  +/-  (6.41e-487, 6.41e-487j)
| (53.038498087816664726 + 1.1063667161813118783e-1485j)  +/-  (1.68e-486, 1.68e-486j)
| (0.029811235829960110683 + 6.3153531634368439993e-1556j)  +/-  (3.32e-510, 3.32e-510j)
| (4.8783933559213461092 - 2.7789537498109329155e-1513j)  +/-  (1.06e-498, 1.06e-498j)
| (0.71757469411697225457 + 4.6095394947327375447e-1520j)  +/-  (1.2e-505, 1.2e-505j)
| (0.38626503757645558643 + 3.1204822728708438629e-1522j)  +/-  (4.57e-507, 4.57e-507j)
| (5.9411080546245589687 - 2.8184512703468759207e-1512j)  +/-  (9.19e-498, 9.19e-498j)
| (49.27918638283679286 - 1.3387333214584302525e-1500j)  +/-  (1.09e-486, 1.09e-486j)
| (35.988681327478935783 - 1.5953785617762121343e-1518j)  +/-  (8.11e-488, 8.11e-488j)
| (1.6881858234190472059 - 2.1880661523760108298e-1550j)  +/-  (3.92e-503, 3.92e-503j)
| (2.3285270066532287333 - 7.6405752770715197327e-1554j)  +/-  (6.2e-502, 6.2e-502j)
| (0.15710799061787630223 + 3.8993763798152768672e-1562j)  +/-  (1.46e-508, 1.46e-508j)
| (85.528311116034167887 - 3.6167819733934272861e-1539j)  +/-  (1.21e-486, 1.21e-486j)
| (42.300590362903093583 - 5.0898479205882894975e-1553j)  +/-  (3.73e-487, 3.73e-487j)
| (61.14686478614022875 - 3.6417878477651704988e-1562j)  +/-  (2.64e-486, 2.64e-486j)
-------------------------------------------------
The weights are:
| (1.3190660883980165921e-74 + 3.4716825186377979357e-1150j)  +/-  (5.63e-72, 4.11e-440j)
| (2.8235107161201127671e-51 + 3.5938904633089051115e-1137j)  +/-  (7.21e-65, 5.26e-433j)
| (3.4347364383965780235e-68 - 7.397990242995676435e-1147j)  +/-  (1.86e-70, 1.35e-438j)
| (4.3465744227388566281e-63 + 3.6268209877659218314e-1144j)  +/-  (3.41e-69, 2.49e-437j)
| (1.0490648478212719263e-58 - 8.6435677431671645415e-1142j)  +/-  (5.07e-68, 3.71e-436j)
| (1.9270714080170284378e-08 + 7.4809155058644504485e-1118j)  +/-  (1.89e-34, 1.38e-402j)
| (1.2421626859491528543e-14 + 9.4074675990357463918e-1121j)  +/-  (2.25e-45, 1.64e-413j)
| (1.3073947749206025197e-07 - 1.8056551388480851622e-1117j)  +/-  (6.52e-33, 4.76e-401j)
| (1.3614341627163420271e-32 - 2.9129461367515106873e-1129j)  +/-  (2.62e-60, 1.92e-428j)
| (2.5026389371263412381e-09 - 2.9061386565175737708e-1118j)  +/-  (6.68e-37, 4.88e-405j)
| (4.1541829450521746724e-06 - 8.6963487189922424763e-1117j)  +/-  (2.33e-30, 1.7e-398j)
| (2.4910106849372247067e-12 + 1.1458737272374846242e-1119j)  +/-  (7.93e-43, 5.8e-411j)
| (1.9531587157280724098e-05 + 1.736770318172547922e-1116j)  +/-  (6.43e-29, 4.69e-397j)
| (0.00030259801699225842708 + 5.7391052882268968894e-1116j)  +/-  (1.12e-25, 8.16e-394j)
| (1.3550199911029973935e-39 + 1.6217809363867767095e-1132j)  +/-  (1.13e-64, 8.23e-433j)
| (2.8557855087716225449e-10 + 1.0575711462767793711e-1118j)  +/-  (6.21e-40, 4.54e-408j)
| (8.1538711803554130763e-05 - 3.2579071608754877575e-1116j)  +/-  (1.16e-28, 8.45e-397j)
| (3.414549148591887107e-17 + 5.7661771047703532414e-1122j)  +/-  (1.47e-50, 1.07e-418j)
| (3.2016367953549139003e-42 - 1.0504584882407321485e-1133j)  +/-  (5.44e-66, 3.97e-434j)
| (7.1940559964947242307e-25 - 1.3057430421614053443e-1125j)  +/-  (2.72e-58, 1.98e-426j)
| (1.8903366069715442366e-13 - 3.4019785834515277337e-1120j)  +/-  (1.26e-46, 9.19e-415j)
| (4.9624875407027329009e-48 - 3.8936120268784113221e-1136j)  +/-  (1.18e-68, 8.61e-437j)
| (0.15342420015757829974 + 4.49101895965627804e-1115j)  +/-  (4.91e-17, 3.59e-385j)
| (8.546155813963136806e-35 + 2.7043470384050703893e-1130j)  +/-  (1.75e-63, 1.28e-431j)
| (1.5734913570756021924e-28 - 2.4041941953291578445e-1127j)  +/-  (3.4e-61, 2.49e-429j)
| (0.017856844269156719558 + 2.8964581771063229023e-1115j)  +/-  (2.06e-32, 1.5e-400j)
| (0.00099906553781588580413 - 9.4892270143910421616e-1116j)  +/-  (1.78e-36, 1.3e-404j)
| (5.0358691660610958665e-45 + 6.2326823681156567769e-1135j)  +/-  (5.94e-68, 4.34e-436j)
| (1.657285440919482876e-30 + 2.7958680524855582588e-1128j)  +/-  (4.11e-62, 3e-430j)
| (8.2684460695050639757e-55 + 1.5593117713042207461e-1139j)  +/-  (2.81e-72, 2.05e-440j)
| (2.8546224120591558133e-11 - 3.6011553115071098981e-1119j)  +/-  (1.58e-49, 1.16e-417j)
| (0.036881194115821210274 - 3.657221261512976259e-1115j)  +/-  (1.15e-37, 8.37e-406j)
| (7.8337003802775870352e-07 + 4.0896169581487011616e-1117j)  +/-  (4.31e-45, 3.15e-413j)
| (4.9442180080974846558e-20 + 2.5898113600664499689e-1123j)  +/-  (1.91e-58, 1.39e-426j)
| (3.5610683650040857508e-23 + 8.3270587954672129916e-1125j)  +/-  (2.42e-60, 1.77e-428j)
| (0.074262005828026243773 + 4.97996924264532673e-1116j)  +/-  (5.48e-39, 4e-407j)
| (0.0076776165144976089238 - 2.1357967532036601331e-1115j)  +/-  (6.71e-44, 4.9e-412j)
| (0.18663305948480594143 - 3.8959259932817866798e-1115j)  +/-  (1.33e-39, 9.71e-408j)
| (0.1904090882639114277 + 2.8790488204596834173e-1115j)  +/-  (1.74e-39, 1.27e-407j)
| (0.0029357859037394734671 + 1.4712514784985157952e-1115j)  +/-  (1.4e-44, 1.03e-412j)
| (1.4539524813678998761e-21 - 4.8500508600509778201e-1124j)  +/-  (1.18e-59, 8.6e-428j)
| (7.0342315202126179104e-16 - 2.4182980615185985321e-1121j)  +/-  (2.47e-56, 1.8e-424j)
| (0.10877969280749025255 - 4.6000436355122757577e-1115j)  +/-  (1.99e-45, 1.45e-413j)
| (0.067460738609219462701 + 4.277916118649400623e-1115j)  +/-  (7.15e-46, 5.22e-414j)
| (0.1522719498093528115 - 1.6388133696306252123e-1115j)  +/-  (3.51e-45, 2.57e-413j)
| (4.0000905324813462836e-37 - 2.2265151114870718112e-1131j)  +/-  (1.36e-67, 9.9e-436j)
| (1.4123154148957396791e-18 - 1.2721505962204420732e-1122j)  +/-  (1.57e-58, 1.15e-426j)
| (1.1855372283505860444e-26 + 1.862174020384452148e-1126j)  +/-  (1.2e-62, 8.78e-431j)
