Starting with polynomial:
P : -1/8683317618811886495518194401280000000*t^33 + 1/7973661725263440308097515520000000*t^32 - 1/15573558057155156851752960000000*t^31 + 31/1507118521660176469524480000000*t^30 - 31/6698304540711895420108800000*t^29 + 899/1154880093226188865536000000*t^28 - 899/8838368060404506624000000*t^27 + 899/84867731718561792000000*t^26 - 899/1004351854657536000000*t^25 + 899/14462666707068518400*t^24 - 899/251087963664384000*t^23 + 20677/120085547839488000*t^22 - 20677/2977327632384000*t^21 + 20677/87767027712000*t^20 - 20677/3071845969920*t^19 + 392863/2425141555200*t^18 - 392863/119760076800*t^17 + 392863/7044710400*t^16 - 392863/495331200*t^15 + 20677/2201472*t^14 - 20677/224640*t^13 + 268801/362880*t^12 - 268801/55440*t^11 + 128557/5040*t^10 - 642785/6048*t^9 + 385671/1120*t^8 - 29667/35*t^7 + 69223/45*t^6 - 9889/5*t^5 + 1705*t^4 - 2728/3*t^3 + 264*t^2 - 33*t + 1
Extension levels are: 33
-------------------------------------------------
Ending with final polynomial:
P : -1/8683317618811886495518194401280000000*t^33 + 1/7973661725263440308097515520000000*t^32 - 1/15573558057155156851752960000000*t^31 + 31/1507118521660176469524480000000*t^30 - 31/6698304540711895420108800000*t^29 + 899/1154880093226188865536000000*t^28 - 899/8838368060404506624000000*t^27 + 899/84867731718561792000000*t^26 - 899/1004351854657536000000*t^25 + 899/14462666707068518400*t^24 - 899/251087963664384000*t^23 + 20677/120085547839488000*t^22 - 20677/2977327632384000*t^21 + 20677/87767027712000*t^20 - 20677/3071845969920*t^19 + 392863/2425141555200*t^18 - 392863/119760076800*t^17 + 392863/7044710400*t^16 - 392863/495331200*t^15 + 20677/2201472*t^14 - 20677/224640*t^13 + 268801/362880*t^12 - 268801/55440*t^11 + 128557/5040*t^10 - 642785/6048*t^9 + 385671/1120*t^8 - 29667/35*t^7 + 69223/45*t^6 - 9889/5*t^5 + 1705*t^4 - 2728/3*t^3 + 264*t^2 - 33*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 roots: 848
 current precision for weights: 212
Linear system for weights solvable: 1
  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:
| (92.251139444135101234 + 5.6687903742258515472e-1427j)  +/-  (4.46e-496, 4.46e-496j)
| (52.073451901514220267 - 9.3293064744097184055e-1428j)  +/-  (1.2e-493, 1.2e-493j)
| (102.47784433682332258 + 1.2470143637424207342e-1439j)  +/-  (4.62e-497, 4.62e-497j)
| (75.966687014247062344 - 1.6464450317159925423e-1436j)  +/-  (9.57e-495, 9.57e-495j)
| (83.581637223270880761 - 4.1193713710718561862e-1443j)  +/-  (2.72e-495, 2.72e-495j)
| (115.55475644899580731 + 8.0202004942819766002e-1455j)  +/-  (1.98e-498, 1.98e-498j)
| (57.287634541092940075 + 8.173873304692113729e-1453j)  +/-  (8.85e-494, 8.85e-494j)
| (24.750562906157795643 + 1.4771077097257968922e-1478j)  +/-  (8.89e-495, 8.89e-495j)
| (7.1302243444001080163 - 2.0011838457270699728e-1498j)  +/-  (1.47e-499, 1.47e-499j)
| (69.143513380109892446 + 1.7146535489091490888e-1490j)  +/-  (2.46e-494, 2.46e-494j)
| (4.475459498399771457 + 2.0367623877757464294e-1508j)  +/-  (2.1e-501, 2.1e-501j)
| (10.443013650205982427 + 4.4467193734520678959e-1502j)  +/-  (4.79e-498, 4.79e-498j)
| (12.356973759350285962 + 5.7739674145001717792e-1501j)  +/-  (2.32e-497, 2.32e-497j)
| (42.787072078253479488 + 8.5321951374894872897e-1511j)  +/-  (1.27e-493, 1.27e-493j)
| (1.6705591960757151909 + 3.3333966250438900459e-1540j)  +/-  (1.33e-504, 1.33e-504j)
| (62.952565946906630207 + 3.8675217746294955511e-1553j)  +/-  (5.38e-494, 5.38e-494j)
| (21.869013524928189871 - 3.7050940218169916783e-1597j)  +/-  (3.79e-495, 3.79e-495j)
| (5.7224547202721035227 - 5.4337063570803107383e-1625j)  +/-  (1.88e-500, 1.88e-500j)
| (34.7807091535383377 - 9.425728745326726369e-1647j)  +/-  (7.26e-494, 7.26e-494j)
| (19.197936587212446637 + 5.9392742239773410512e-1673j)  +/-  (1.37e-495, 1.37e-495j)
| (16.727639218638322353 + 1.5396082493053769537e-1707j)  +/-  (3.52e-496, 3.52e-496j)
| (1.0402685077510020538 - 3.7542954218526360529e-1746j)  +/-  (8.83e-506, 8.83e-506j)
| (14.449741681585540238 + 2.6071452872603812985e-1764j)  +/-  (9.83e-497, 9.83e-497j)
| (38.638296717774030225 + 1.3552388170433830518e-1814j)  +/-  (1.13e-493, 1.13e-493j)
| (0.043161135617326892192 + 6.3850100831133100995e-1859j)  +/-  (2.2e-510, 2.2e-510j)
| (8.7023592306214062489 - 1.9579912039860908096e-1843j)  +/-  (8.85e-499, 8.85e-499j)
| (0.55961665585153988759 + 5.5730660119293488493e-1869j)  +/-  (3.64e-507, 3.64e-507j)
| (3.3861553375880048323 + 3.0330829395834595494e-1856j)  +/-  (2.27e-502, 2.27e-502j)
| (31.192055545575129868 + 2.3482211254596531742e-1868j)  +/-  (4.27e-494, 4.27e-494j)
| (47.254206602993265817 - 1.0119456764588740075e-1892j)  +/-  (1.51e-493, 1.51e-493j)
| (27.85385111141335678 + 9.7623975283120790077e-1912j)  +/-  (2.06e-494, 2.06e-494j)
| (2.4519207958976305465 - 3.9560998890771174256e-1935j)  +/-  (1.83e-503, 1.83e-503j)
| (0.22751780280337112385 + 2.7677048942941805861e-1940j)  +/-  (1.03e-508, 1.03e-508j)
-------------------------------------------------
The weights are:
| (8.0495228454520372687e-40 - 9.6645464075245466281e-1460j)  +/-  (2.45e-89, 6.63e-461j)
| (1.2148100989154429767e-22 + 5.5578471884215401982e-1450j)  +/-  (3.05e-82, 8.25e-454j)
| (3.5290299036046993752e-44 + 5.3761282898165199911e-1462j)  +/-  (3.81e-91, 1.03e-462j)
| (7.3213421113257940752e-33 - 4.4476168607443631324e-1456j)  +/-  (1.6e-87, 4.31e-459j)
| (4.0613170614556979551e-36 + 8.3322230122803475395e-1458j)  +/-  (1.39e-88, 3.76e-460j)
| (1.017166562994125698e-49 - 7.6955465093417119794e-1465j)  +/-  (4.4e-94, 1.19e-465j)
| (7.1615818114209984054e-25 + 1.7504272211743536619e-1451j)  +/-  (2.11e-85, 5.69e-457j)
| (5.3296121341030270136e-11 - 1.8941270042415793969e-1445j)  +/-  (6.76e-79, 1.83e-450j)
| (0.0011922509906686840511 - 2.9232540237741871027e-1442j)  +/-  (6.56e-67, 1.77e-438j)
| (6.0719236128692224359e-30 + 1.7104058101617548375e-1454j)  +/-  (2.94e-87, 7.93e-459j)
| (0.013293975180808666586 - 7.3021875382845095086e-1442j)  +/-  (2.74e-63, 7.4e-435j)
| (5.3243340992278241244e-05 - 8.0710485611132440069e-1443j)  +/-  (2.72e-71, 7.36e-443j)
| (8.6095713264633161837e-06 + 3.7005942234092944342e-1443j)  +/-  (4.62e-73, 1.25e-444j)
| (1.1260986370499501802e-18 + 1.0651074690767367908e-1448j)  +/-  (1.49e-84, 4.02e-456j)
| (0.1327448567051710981 + 1.3313115338544816854e-1441j)  +/-  (4.64e-60, 1.25e-431j)
| (2.7032071248811687217e-27 - 5.4031649451370350634e-1453j)  +/-  (6.69e-87, 1.81e-458j)
| (8.8227664096702024677e-10 + 6.5530215066146637274e-1445j)  +/-  (1.58e-79, 4.26e-451j)
| (0.0043409430950462364594 + 4.8452871207301190153e-1442j)  +/-  (3.71e-70, 1e-441j)
| (2.9204149555654684539e-15 + 2.626170926544147422e-1447j)  +/-  (1.18e-83, 3.2e-455j)
| (1.1809678698032524103e-08 - 2.06380718152824581e-1444j)  +/-  (4.99e-79, 1.35e-450j)
| (1.2898511485652588454e-07 + 5.9216743847080996895e-1444j)  +/-  (1.81e-78, 4.9e-450j)
| (0.19620737276914191683 - 1.2614588769167320443e-1441j)  +/-  (7.39e-69, 1.99e-440j)
| (1.158377961024691956e-06 - 1.549490559784710569e-1443j)  +/-  (9.96e-78, 2.69e-449j)
| (6.6307715675238163773e-17 - 5.3683856239736273573e-1448j)  +/-  (3.24e-85, 8.76e-457j)
| (0.10609774555368675945 + 1.8532697061980216389e-1442j)  +/-  (5.78e-72, 1.56e-443j)
| (0.00027515822558239658442 + 1.6076990693296121927e-1442j)  +/-  (1.28e-76, 3.45e-448j)
| (0.23212652349606085085 + 9.9696333155419928978e-1442j)  +/-  (8.46e-73, 2.28e-444j)
| (0.034223233410864027035 + 9.9630811636840582004e-1442j)  +/-  (5.7e-75, 1.54e-446j)
| (9.8314133225207825981e-14 - 1.1949942336546698895e-1446j)  +/-  (5.39e-84, 1.45e-455j)
| (1.3931165712239200941e-20 - 2.399000327691292417e-1449j)  +/-  (1.79e-87, 4.83e-459j)
| (2.5755040374831743943e-12 + 4.9831290370804828259e-1446j)  +/-  (2.83e-83, 7.64e-455j)
| (0.073851803887713871405 - 1.2219656059852946333e-1441j)  +/-  (8.01e-78, 2.17e-449j)
| (0.2055829836619326035 - 5.9440429890229175873e-1442j)  +/-  (9.3e-78, 2.46e-449j)
