Starting with polynomial:
P : 34359738368*t^36 - 309237645312*t^34 + 1275605286912*t^32 - 3195455668224*t^30 + 5429778186240*t^28 - 6620826304512*t^26 + 5977134858240*t^24 - 4063273943040*t^22 + 2095125626880*t^20 - 819082035200*t^18 + 240999137280*t^16 - 52581629952*t^14 + 8307167232*t^12 - 916844544*t^10 + 66977280*t^8 - 2976768*t^6 + 69768*t^4 - 648*t^2 + 1
Extension levels are: 36
-------------------------------------------------
Ending with final polynomial:
P : 34359738368*t^36 - 309237645312*t^34 + 1275605286912*t^32 - 3195455668224*t^30 + 5429778186240*t^28 - 6620826304512*t^26 + 5977134858240*t^24 - 4063273943040*t^22 + 2095125626880*t^20 - 819082035200*t^18 + 240999137280*t^16 - 52581629952*t^14 + 8307167232*t^12 - 916844544*t^10 + 66977280*t^8 - 2976768*t^6 + 69768*t^4 - 648*t^2 + 1
-------------------------------------------------
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:
| (-0.97629600711993336597 + 1.4302160509401772463e-433j)  +/-  (1.5e-115, 1.5e-115j)
| (-0.99144486137381041114 - 7.4312733432791069535e-448j)  +/-  (1.2e-115, 1.2e-115j)
| (-0.88701083317822170105 + 5.9453774557685135594e-454j)  +/-  (3.26e-116, 3.26e-116j)
| (0.9990482215818577624 + 3.4264197332266940583e-453j)  +/-  (4.92e-116, 4.92e-116j)
| (0.84339144581288570127 + 3.755030987747337318e-456j)  +/-  (9.74e-117, 9.74e-117j)
| (0.95371695074822692114 + 1.7088981787897634922e-454j)  +/-  (1.11e-115, 1.11e-115j)
| (0.92387953251128675613 + 2.3760695884011122077e-456j)  +/-  (6.17e-116, 6.17e-116j)
| (-0.92387953251128675613 + 1.5556976481892617981e-457j)  +/-  (6.07e-116, 6.07e-116j)
| (-0.9990482215818577624 - 2.9439926523593254317e-459j)  +/-  (5.29e-116, 5.29e-116j)
| (0.97629600711993336597 - 1.1934269103165952831e-462j)  +/-  (1.38e-115, 1.38e-115j)
| (0.88701083317822170105 + 5.0379196706941513893e-466j)  +/-  (2.76e-116, 2.76e-116j)
| (0.99144486137381041114 + 1.2175298261014248713e-466j)  +/-  (1.12e-115, 1.12e-115j)
| (-0.84339144581288570127 - 4.5549783135311174553e-468j)  +/-  (1.08e-116, 1.08e-116j)
| (-0.79335334029123516458 - 6.3907802993037260667e-474j)  +/-  (3.09e-117, 3.09e-117j)
| (-0.043619387365335999782 - 1.092654288970023924e-483j)  +/-  (1.44e-127, 1.44e-127j)
| (0.73727733681012404138 - 1.1071727075952171604e-476j)  +/-  (5.65e-118, 5.65e-118j)
| (0.79335334029123516458 - 2.3030449095919792035e-476j)  +/-  (2.84e-117, 2.84e-117j)
| (-0.30070579950427312162 + 1.0107222808061189996e-482j)  +/-  (9.39e-124, 9.39e-124j)
| (-0.73727733681012404138 - 4.3092292801258159487e-476j)  +/-  (6.09e-118, 6.09e-118j)
| (-0.95371695074822692114 + 1.7351260979935033313e-488j)  +/-  (1.12e-115, 1.12e-115j)
| (0.46174861323503393056 - 4.2669666635274847914e-503j)  +/-  (1.57e-121, 1.57e-121j)
| (0.67559020761566024435 + 1.297770835701128902e-499j)  +/-  (1.12e-118, 1.12e-118j)
| (0.21643961393810287976 - 2.6112440842701582367e-506j)  +/-  (4.43e-125, 4.43e-125j)
| (-0.60876142900872063942 + 9.7304908452409876376e-500j)  +/-  (1.82e-119, 1.82e-119j)
| (-0.53729960834682383184 - 1.2500777599200714566e-501j)  +/-  (1.65e-120, 1.65e-120j)
| (0.13052619222005159155 - 6.8980605329735746664e-508j)  +/-  (2.53e-126, 2.53e-126j)
| (0.60876142900872063942 + 3.4548722454430330048e-501j)  +/-  (1.94e-119, 1.94e-119j)
| (0.38268343236508977173 - 5.7528043906079252734e-505j)  +/-  (1.39e-122, 1.39e-122j)
| (-0.13052619222005159155 + 2.8310922147041085262e-508j)  +/-  (2.53e-126, 2.53e-126j)
| (-0.67559020761566024435 + 2.4131490340531400001e-504j)  +/-  (1.11e-118, 1.11e-118j)
| (-0.21643961393810287976 + 1.3932862099970181084e-510j)  +/-  (5.54e-125, 5.54e-125j)
| (0.30070579950427312162 - 9.5439492586311134839e-509j)  +/-  (8.51e-124, 8.51e-124j)
| (0.53729960834682383184 - 5.657422607021502649e-505j)  +/-  (1.78e-120, 1.78e-120j)
| (0.043619387365335999782 + 2.2205778577663089746e-512j)  +/-  (1.44e-127, 1.44e-127j)
| (-0.46174861323503393056 - 7.6779109574163732819e-508j)  +/-  (1.66e-121, 1.66e-121j)
| (-0.38268343236508977173 + 2.8470648925205601925e-508j)  +/-  (1.48e-122, 1.48e-122j)
-------------------------------------------------
The weights are:
| (0.027777777777777777778 + 4.139779057429992667e-434j)  +/-  (2.74e-18, 3.16e-72j)
| (0.027777777777777777778 + 1.5815403542508701998e-433j)  +/-  (1.69e-18, 1.95e-72j)
| (0.027777777777777777778 - 9.4926757622006865858e-434j)  +/-  (7.53e-19, 8.7e-73j)
| (0.027777777777777777778 - 4.0532106030583718775e-436j)  +/-  (5.71e-20, 6.6e-74j)
| (0.027777777777777777778 - 5.4197857627632277105e-435j)  +/-  (7.05e-20, 8.15e-74j)
| (0.027777777777777777778 + 2.8598547463543502016e-435j)  +/-  (4.61e-20, 5.32e-74j)
| (0.027777777777777777778 - 3.6966500023391114572e-435j)  +/-  (4.29e-20, 4.95e-74j)
| (0.027777777777777777778 + 1.3400908713276445411e-433j)  +/-  (1.98e-20, 2.28e-74j)
| (0.027777777777777777778 - 3.5189920461866133343e-434j)  +/-  (3.67e-20, 4.24e-74j)
| (0.027777777777777777778 - 2.034640280585878738e-435j)  +/-  (1.04e-20, 1.2e-74j)
| (0.027777777777777777778 + 4.5486614886506777058e-435j)  +/-  (1.73e-21, 2e-75j)
| (0.027777777777777777778 + 1.2175650110632427587e-435j)  +/-  (8.63e-21, 9.97e-75j)
| (0.027777777777777777778 + 7.4206002059623718755e-434j)  +/-  (2.02e-23, 2.33e-77j)
| (0.027777777777777777778 - 6.1079365721154056044e-434j)  +/-  (4.64e-24, 5.36e-78j)
| (0.027777777777777777778 - 1.9661550239045088718e-434j)  +/-  (7.47e-27, 8.63e-81j)
| (0.027777777777777777778 - 7.2367412491708878979e-435j)  +/-  (8.63e-25, 9.97e-79j)
| (0.027777777777777777778 + 6.3142577198018645741e-435j)  +/-  (5.24e-24, 6.05e-78j)
| (0.027777777777777777778 + 2.5911857811274262348e-434j)  +/-  (1.38e-27, 1.59e-81j)
| (0.027777777777777777778 + 5.188166633771709009e-434j)  +/-  (4.2e-26, 4.85e-80j)
| (0.027777777777777777778 - 2.4445471180102685085e-433j)  +/-  (1.84e-24, 2.12e-78j)
| (0.027777777777777777778 - 1.1321890715037442129e-434j)  +/-  (5.57e-28, 6.43e-82j)
| (0.027777777777777777778 + 8.1924377805099807641e-435j)  +/-  (1.64e-26, 1.9e-80j)
| (0.027777777777777777778 + 1.5024489336275997964e-434j)  +/-  (9.02e-29, 1.04e-82j)
| (0.027777777777777777778 + 3.9621493932074081123e-434j)  +/-  (1.36e-28, 1.57e-82j)
| (0.027777777777777777778 - 3.5263923487812178153e-434j)  +/-  (5.24e-29, 6.05e-83j)
| (0.027777777777777777778 - 1.6441941602822660095e-434j)  +/-  (1.95e-29, 2.26e-83j)
| (0.027777777777777777778 - 9.1872185351388451284e-435j)  +/-  (8.37e-29, 9.66e-83j)
| (0.027777777777777777778 + 1.2478571048289134753e-434j)  +/-  (2.06e-29, 2.38e-83j)
| (0.027777777777777777778 + 2.1516854403712672945e-434j)  +/-  (2.32e-30, 2.68e-84j)
| (0.027777777777777777778 - 4.500403735815274069e-434j)  +/-  (6.92e-30, 7.99e-84j)
| (0.027777777777777777778 - 2.3583724214707967969e-434j)  +/-  (1.07e-30, 1.23e-84j)
| (0.027777777777777777778 - 1.3708514199132859009e-434j)  +/-  (1.51e-30, 1.75e-84j)
| (0.027777777777777777778 + 1.0227788227958184147e-434j)  +/-  (1.18e-30, 1.36e-84j)
| (0.027777777777777777778 + 1.7979793535073092904e-434j)  +/-  (8.31e-31, 9.6e-85j)
| (0.027777777777777777778 + 3.1642146532081112956e-434j)  +/-  (5.84e-32, 6.78e-86j)
| (0.027777777777777777778 - 2.8567658789542233774e-434j)  +/-  (6.11e-32, 7.02e-86j)
