Starting with polynomial:
P : 110628135069209194801/17179869184*t^36 - 490814965447899948765/8589934592*t^34 + 3990539066902490887785/17179869184*t^32 - 615456273999886654335/1073741824*t^30 + 4118822756768472225165/4294967296*t^28 - 2471293654061083335099/2147483648*t^26 + 4388909494917224502225/4294967296*t^24 - 733256065736776006425/1073741824*t^22 + 2971616687459565920775/8589934592*t^20 - 570310273350825782775/4294967296*t^18 + 329273478576137150055/8589934592*t^16 - 8804103705244308825/1073741824*t^14 + 5450159436579810225/4294967296*t^12 - 294362129962575675/2147483648*t^10 + 42051732851796525/4294967296*t^8 - 456375395290815/1073741824*t^6 + 166966608033225/17179869184*t^4 - 755505013725/8589934592*t^2 + 2268783825/17179869184
Extension levels are: 36
-------------------------------------------------
Ending with final polynomial:
P : 110628135069209194801/17179869184*t^36 - 490814965447899948765/8589934592*t^34 + 3990539066902490887785/17179869184*t^32 - 615456273999886654335/1073741824*t^30 + 4118822756768472225165/4294967296*t^28 - 2471293654061083335099/2147483648*t^26 + 4388909494917224502225/4294967296*t^24 - 733256065736776006425/1073741824*t^22 + 2971616687459565920775/8589934592*t^20 - 570310273350825782775/4294967296*t^18 + 329273478576137150055/8589934592*t^16 - 8804103705244308825/1073741824*t^14 + 5450159436579810225/4294967296*t^12 - 294362129962575675/2147483648*t^10 + 42051732851796525/4294967296*t^8 - 456375395290815/1073741824*t^6 + 166966608033225/17179869184*t^4 - 755505013725/8589934592*t^2 + 2268783825/17179869184
-------------------------------------------------
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
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.9482729843995075452 + 2.0212469687154021342e-400j)  +/-  (7.66e-116, 7.66e-116j)
| (-0.98858647890221223807 + 5.1625940426874074794e-410j)  +/-  (8.61e-116, 8.61e-116j)
| (-0.87992980089039713198 - 1.9686267317003824817e-416j)  +/-  (2.29e-116, 2.29e-116j)
| (0.98858647890221223807 + 2.8987430639444867331e-424j)  +/-  (9.38e-116, 9.38e-116j)
| (0.83584716699247530642 - 5.6691774375245594456e-427j)  +/-  (7.52e-117, 7.52e-117j)
| (0.91749777451565906608 + 6.9168372425706195278e-425j)  +/-  (4e-116, 4e-116j)
| (0.9978304624840858362 - 1.2908071753885039711e-424j)  +/-  (2.88e-116, 2.88e-116j)
| (-0.91749777451565906608 - 2.238828866216819931e-426j)  +/-  (5.12e-116, 5.12e-116j)
| (-0.9978304624840858362 + 4.9367942650682699791e-433j)  +/-  (2.58e-116, 2.58e-116j)
| (0.9482729843995075452 + 1.1654175522717291723e-441j)  +/-  (7.86e-116, 7.86e-116j)
| (0.87992980089039713198 + 4.048730449886654492e-441j)  +/-  (2.03e-116, 2.03e-116j)
| (0.97202769104969794934 + 7.727785864818936712e-443j)  +/-  (1.12e-115, 1.12e-115j)
| (-0.83584716699247530642 + 7.2301861084660301828e-444j)  +/-  (7.96e-117, 7.96e-117j)
| (-0.78557623013220651283 + 7.2544885850518282976e-448j)  +/-  (2.63e-117, 2.63e-117j)
| (-0.043018198473708607227 + 1.834254925780559967e-453j)  +/-  (1.85e-127, 1.85e-127j)
| (0.72948917159355658209 + 2.236069132379483264e-449j)  +/-  (4.89e-118, 4.89e-118j)
| (0.78557623013220651283 - 5.3618559055520365042e-450j)  +/-  (1.97e-117, 1.97e-117j)
| (-0.21350089231686557894 - 6.4617755492783134078e-452j)  +/-  (4.29e-125, 4.29e-125j)
| (-0.72948917159355658209 - 7.8307333252521843054e-451j)  +/-  (6.23e-118, 6.23e-118j)
| (-0.97202769104969794934 - 2.6625171150244625619e-456j)  +/-  (1.02e-115, 1.02e-115j)
| (0.45586394443342026721 + 2.8277559852483063403e-467j)  +/-  (1.7e-121, 1.7e-121j)
| (0.6680012365855210621 - 6.6395222889205625001e-465j)  +/-  (1.06e-118, 1.06e-118j)
| (0.21350089231686557894 - 9.7962903443269528438e-472j)  +/-  (4.52e-125, 4.52e-125j)
| (-0.53068028592624516164 + 4.1843792688079057697e-466j)  +/-  (1.79e-120, 1.79e-120j)
| (-0.60156765813598053508 - 1.6544457109022281691e-467j)  +/-  (1.33e-119, 1.33e-119j)
| (0.12873610380938478865 + 2.7271584772831267593e-471j)  +/-  (2.21e-126, 2.21e-126j)
| (0.60156765813598053508 - 1.0284301218058081589e-467j)  +/-  (1.49e-119, 1.49e-119j)
| (0.37767254711968921632 + 1.4872303650087581808e-470j)  +/-  (1.33e-122, 1.33e-122j)
| (-0.12873610380938478865 + 1.0615566783086558039e-472j)  +/-  (2.64e-126, 2.64e-126j)
| (-0.6680012365855210621 - 2.3029792490084730307e-469j)  +/-  (1e-118, 1e-118j)
| (-0.37767254711968921632 + 2.6358654714229717334e-471j)  +/-  (1.32e-122, 1.32e-122j)
| (0.2966849953440282705 - 1.2448683396827947631e-474j)  +/-  (8.07e-124, 8.07e-124j)
| (0.53068028592624516164 - 7.0042554982462359848e-472j)  +/-  (1.66e-120, 1.66e-120j)
| (0.043018198473708607227 + 6.9465252874615366827e-477j)  +/-  (1.42e-127, 1.42e-127j)
| (-0.45586394443342026721 + 7.1216558914005119825e-473j)  +/-  (1.85e-121, 1.85e-121j)
| (-0.2966849953440282705 - 2.2363189045514574324e-475j)  +/-  (7.28e-124, 7.28e-124j)
-------------------------------------------------
The weights are:
| (0.027298621498568779094 + 5.191899128439419736e-401j)  +/-  (1.98e-21, 4.89e-76j)
| (0.012915947284065574405 - 4.4678735634300563399e-401j)  +/-  (5.91e-22, 1.46e-76j)
| (0.040875750923644895474 + 1.4785370899422624967e-400j)  +/-  (1.09e-21, 2.68e-76j)
| (0.012915947284065574405 - 9.2993632183040208e-403j)  +/-  (8.38e-23, 2.07e-77j)
| (0.047235083490265978417 + 7.034882093178991537e-402j)  +/-  (5.53e-23, 1.37e-77j)
| (0.034213810770307229921 + 4.1480963280598866241e-402j)  +/-  (5.5e-23, 1.36e-77j)
| (0.0055657196642450453613 + 2.654995348366550299e-403j)  +/-  (2.95e-23, 7.29e-78j)
| (0.034213810770307229921 - 2.5148152885726114986e-400j)  +/-  (3.99e-23, 9.86e-78j)
| (0.0055657196642450453613 + 1.042606647270985112e-401j)  +/-  (1.6e-23, 3.95e-78j)
| (0.027298621498568779094 - 2.9093550529141103267e-402j)  +/-  (1.14e-23, 2.83e-78j)
| (0.040875750923644895474 - 5.527173051538628906e-402j)  +/-  (4.02e-24, 9.93e-79j)
| (0.020181515297735471532 + 1.8278242652620502065e-402j)  +/-  (8.82e-24, 2.18e-78j)
| (0.047235083490265978417 - 1.1163872492510314688e-400j)  +/-  (1.57e-25, 3.87e-80j)
| (0.053244713977759919092 + 9.2319011685033673209e-401j)  +/-  (2.42e-26, 5.97e-81j)
| (0.08598327567039474749 + 3.4043959950209594171e-401j)  +/-  (2.73e-28, 6.73e-83j)
| (0.05886014424532481731 + 1.040489357649858743e-401j)  +/-  (1.36e-26, 3.36e-81j)
| (0.053244713977759919092 - 8.6628084111423345625e-402j)  +/-  (7.85e-26, 1.94e-80j)
| (0.084078218979661934933 + 4.0556866292054370399e-401j)  +/-  (3.6e-29, 8.89e-84j)
| (0.05886014424532481731 - 7.9790805613274900742e-401j)  +/-  (1.3e-27, 3.21e-82j)
| (0.020181515297735471532 + 1.4775901970653223489e-400j)  +/-  (3.79e-26, 9.35e-81j)
| (0.076598410645870674529 + 1.845528217953374561e-401j)  +/-  (1.07e-29, 2.65e-84j)
| (0.064039797355015489556 - 1.2256951576694426206e-401j)  +/-  (2.82e-28, 6.97e-83j)
| (0.084078218979661934933 - 2.5650476474956718331e-401j)  +/-  (1.62e-30, 4e-85j)
| (0.072941885005653061354 + 5.7665805473315189253e-401j)  +/-  (1.74e-30, 4.3e-85j)
| (0.068745323835736442614 - 6.3550230396401765321e-401j)  +/-  (3.7e-30, 9.14e-85j)
| (0.085346685739338627492 + 2.8297701067394830568e-401j)  +/-  (6.68e-31, 1.65e-85j)
| (0.068745323835736442614 + 1.4216431521826689138e-401j)  +/-  (4.09e-30, 1.01e-84j)
| (0.079687828912071601909 - 2.0737620376154648487e-401j)  +/-  (4.43e-31, 1.09e-85j)
| (0.085346685739338627492 - 3.7187931314250756228e-401j)  +/-  (8.3e-32, 2.05e-86j)
| (0.064039797355015489556 + 7.0683524169112185026e-401j)  +/-  (2.87e-31, 7.09e-86j)
| (0.079687828912071601909 + 4.8189509287473643041e-401j)  +/-  (1.21e-32, 2.98e-87j)
| (0.082187266704339709517 + 2.3133741819606952574e-401j)  +/-  (6.71e-32, 1.66e-86j)
| (0.072941885005653061354 - 1.6282339544426711999e-401j)  +/-  (9.3e-32, 2.3e-86j)
| (0.08598327567039474749 - 3.1089207903078500344e-401j)  +/-  (2.07e-32, 5.13e-87j)
| (0.076598410645870674529 - 5.2626457145551288859e-401j)  +/-  (2.75e-33, 7.04e-88j)
| (0.082187266704339709517 - 4.4200533102379524326e-401j)  +/-  (3.26e-33, 7.82e-88j)
