Starting with polynomial:
P : 6489213830472088210604445/2199023255552*t^45 - 36091694899816670384822475/1099511627776*t^43 + 374606902236028199511433275/2199023255552*t^41 - 301154568464257964313113025/549755813888*t^39 + 2688620906409821103084539175/2199023255552*t^37 - 2210643856381408462536176655/1099511627776*t^35 + 5549928668974422089489557425/2199023255552*t^33 - 339791551161699311601401475/137438953472*t^31 + 2106707617202535731928689145/1099511627776*t^29 - 650930968481148787795317955/549755813888*t^27 + 643596535033473871876497471/1099511627776*t^25 - 63596495556667378643922675/274877906944*t^23 + 80049320277795257696081775/1099511627776*t^21 - 9946956957595860423773475/549755813888*t^19 + 3856983310088190776565225/1099511627776*t^17 - 71659799203824309509955/137438953472*t^15 + 127530151125450042348225/2199023255552*t^13 - 5132792460157432044975/1099511627776*t^11 + 570310273350825782775/2199023255552*t^9 - 5097112671457231425/549755813888*t^7 + 419762220002360235/2199023255552*t^5 - 2039660932956075/1099511627776*t^3 + 11835556670925/2199023255552*t
Extension levels are: 45
-------------------------------------------------
Ending with final polynomial:
P : 6489213830472088210604445/2199023255552*t^45 - 36091694899816670384822475/1099511627776*t^43 + 374606902236028199511433275/2199023255552*t^41 - 301154568464257964313113025/549755813888*t^39 + 2688620906409821103084539175/2199023255552*t^37 - 2210643856381408462536176655/1099511627776*t^35 + 5549928668974422089489557425/2199023255552*t^33 - 339791551161699311601401475/137438953472*t^31 + 2106707617202535731928689145/1099511627776*t^29 - 650930968481148787795317955/549755813888*t^27 + 643596535033473871876497471/1099511627776*t^25 - 63596495556667378643922675/274877906944*t^23 + 80049320277795257696081775/1099511627776*t^21 - 9946956957595860423773475/549755813888*t^19 + 3856983310088190776565225/1099511627776*t^17 - 71659799203824309509955/137438953472*t^15 + 127530151125450042348225/2199023255552*t^13 - 5132792460157432044975/1099511627776*t^11 + 570310273350825782775/2199023255552*t^9 - 5097112671457231425/549755813888*t^7 + 419762220002360235/2199023255552*t^5 - 2039660932956075/1099511627776*t^3 + 11835556670925/2199023255552*t
-------------------------------------------------
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 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:
| (0.40250294385854191408 + 1.0458783414222752241e-848j)  +/-  (2.23e-248, 2.23e-248j)
| (0.98196871503454056824 - 5.3168962473502941025e-839j)  +/-  (5.26e-240, 5.26e-240j)
| (-0.94664169099562906178 - 3.8316886435206084154e-843j)  +/-  (3.98e-240, 3.98e-240j)
| (0.99860364518193663816 - 2.5360547631607943827e-854j)  +/-  (1.33e-240, 1.33e-240j)
| (0.94664169099562906178 - 6.4828359505515169533e-858j)  +/-  (4.06e-240, 4.06e-240j)
| (0.9221639367190003881 + 6.0176123674389009897e-861j)  +/-  (1.95e-240, 1.95e-240j)
| (-0.99264999844720374175 + 3.6269650878400082096e-860j)  +/-  (4.41e-240, 4.41e-240j)
| (-0.89329167175324173846 + 6.6856073752469663118e-875j)  +/-  (1.01e-240, 1.01e-240j)
| (-0.96660831039689460474 - 2.212753192999873911e-890j)  +/-  (4.85e-240, 4.85e-240j)
| (-0.99860364518193663816 - 1.1322172816161764663e-910j)  +/-  (1.23e-240, 1.23e-240j)
| (0.86016247596066422534 + 3.8181337569352030073e-927j)  +/-  (4.06e-241, 4.06e-241j)
| (-0.20564748978326374572 + 3.8915245050584934447e-939j)  +/-  (4.87e-252, 4.87e-252j)
| (-0.9221639367190003881 - 5.6355574616537520446e-926j)  +/-  (2.02e-240, 2.02e-240j)
| (-0.78178431259390629131 - 1.1190428815556304725e-937j)  +/-  (2.76e-242, 2.76e-242j)
| (0.99264999844720374175 - 6.2205777680277080388e-933j)  +/-  (3.83e-240, 3.83e-240j)
| (0.82293422050208633704 + 1.7215377258242863383e-940j)  +/-  (1.31e-241, 1.31e-241j)
| (0.78178431259390629131 + 9.4365364033044240216e-942j)  +/-  (4.17e-242, 4.17e-242j)
| (-0.98196871503454056824 - 2.1588103792075114832e-940j)  +/-  (4.97e-240, 4.97e-240j)
| (-0.82293422050208633704 + 8.5206264264704580881e-951j)  +/-  (1.27e-241, 1.27e-241j)
| (-0.86016247596066422534 + 2.0486304011076944488e-950j)  +/-  (3.55e-241, 3.55e-241j)
| (0.89329167175324173846 - 1.2858210247204911205e-952j)  +/-  (8.92e-241, 8.92e-241j)
| (0.73690884894549035262 + 1.2362124206051873305e-956j)  +/-  (7.23e-243, 7.23e-243j)
| (0.20564748978326374572 - 1.1726546733391237444e-967j)  +/-  (4.3e-252, 4.3e-252j)
| (-0.73690884894549035262 + 6.9476756129030115245e-959j)  +/-  (8.51e-243, 8.51e-243j)
| (-0.68852168077120052523 + 1.5499623475592997338e-959j)  +/-  (1.36e-243, 1.36e-243j)
| (-1.1595079634147017399e-975 + 1.5273284302606459312e-975j)  +/-  (8.63e-974, 8.63e-974j)
| (0.68852168077120052523 + 4.1654447630462213934e-958j)  +/-  (1.42e-243, 1.42e-243j)
| (0.96660831039689460474 - 1.815420493763417816e-961j)  +/-  (4.78e-240, 4.78e-240j)
| (-0.46469512391963509858 - 3.9438415527998736365e-974j)  +/-  (3.13e-247, 3.13e-247j)
| (-0.63685339445322335927 - 1.5204301206632641164e-969j)  +/-  (2.11e-244, 2.11e-244j)
| (-0.27266976975237756061 + 1.305202102206185141e-976j)  +/-  (9.25e-251, 9.25e-251j)
| (0.27266976975237756061 + 3.5438601086685071077e-975j)  +/-  (9.12e-251, 9.12e-251j)
| (0.63685339445322335927 + 1.0190187352345618632e-968j)  +/-  (2.16e-244, 2.16e-244j)
| (0.06898698016314417249 + 6.1712234989977024145e-981j)  +/-  (1.49e-254, 1.49e-254j)
| (-0.58215021256935318668 - 2.1263794945089371323e-972j)  +/-  (2.56e-245, 2.56e-245j)
| (-0.40250294385854191408 + 1.1106061121399926553e-977j)  +/-  (2.35e-248, 2.35e-248j)
| (0.13764520598325302876 - 4.3060010164125799287e-980j)  +/-  (2.59e-253, 2.59e-253j)
| (0.58215021256935318668 - 2.1779431725535275014e-971j)  +/-  (2.81e-245, 2.81e-245j)
| (0.33839265425060216164 + 2.4855712786819108969e-977j)  +/-  (1.75e-249, 1.75e-249j)
| (-0.33839265425060216164 - 9.8995951834234412674e-979j)  +/-  (1.57e-249, 1.57e-249j)
| (-0.52467282046291606709 + 1.5017136243838622012e-976j)  +/-  (2.59e-246, 2.59e-246j)
| (-0.13764520598325302876 + 1.3076021848830825149e-983j)  +/-  (2.59e-253, 2.59e-253j)
| (0.46469512391963509858 - 7.7260292776521379614e-974j)  +/-  (2.99e-247, 2.99e-247j)
| (0.52467282046291606709 + 1.7941381957448286757e-975j)  +/-  (2.87e-246, 2.87e-246j)
| (-0.06898698016314417249 - 2.6559997758373398365e-985j)  +/-  (1.49e-254, 1.49e-254j)
-------------------------------------------------
The weights are:
| (0.06320144007381993775 + 1.2750647682691162502e-839j)  +/-  (2.51e-72, 4.55e-188j)
| (0.013031104991582784321 + 1.9037642042577747361e-839j)  +/-  (1.21e-72, 2.19e-188j)
| (0.022239847550578732394 + 7.9933853641378113462e-841j)  +/-  (6.96e-74, 1.26e-189j)
| (0.0035826631552835589311 - 6.1028193621030350947e-840j)  +/-  (4.95e-73, 8.97e-189j)
| (0.022239847550578732394 + 4.3680692238712140464e-839j)  +/-  (4.91e-73, 8.91e-189j)
| (0.026696213967577664806 - 3.3928206299842123416e-839j)  +/-  (2.04e-73, 3.69e-189j)
| (0.0083231892962182416457 - 1.7994345387724768652e-841j)  +/-  (1.11e-74, 2.02e-190j)
| (0.031025374934515467163 + 1.3528451695605818301e-840j)  +/-  (8.53e-75, 1.55e-190j)
| (0.017677535257937590617 - 5.6440749415441608614e-841j)  +/-  (1.21e-74, 2.19e-190j)
| (0.0035826631552835589311 + 5.1365765052440621551e-842j)  +/-  (4.88e-75, 8.84e-191j)
| (0.035206692201609016248 - 2.5224109036917284005e-839j)  +/-  (3.26e-76, 5.91e-192j)
| (0.067565954163607536271 - 6.8762757226002402817e-840j)  +/-  (7.02e-78, 1.27e-193j)
| (0.026696213967577664806 - 1.0610373277673950953e-840j)  +/-  (3.84e-75, 6.96e-191j)
| (0.043046880709164971152 - 2.353607434752394034e-840j)  +/-  (1.57e-77, 2.85e-193j)
| (0.0083231892962182416457 + 3.3186991046047287472e-839j)  +/-  (1.54e-75, 2.79e-191j)
| (0.039220236729302447564 + 2.271441234103361931e-839j)  +/-  (6.9e-77, 1.25e-192j)
| (0.043046880709164971152 - 2.0748917845009807217e-839j)  +/-  (1.73e-77, 3.14e-193j)
| (0.013031104991582784321 + 3.5386942956994908821e-841j)  +/-  (1.18e-75, 2.14e-191j)
| (0.039220236729302447564 + 1.9998208063518167957e-840j)  +/-  (7.09e-78, 1.29e-193j)
| (0.035206692201609016248 - 1.6659242496172011478e-840j)  +/-  (2.39e-77, 4.33e-193j)
| (0.031025374934515467163 + 2.866428750104682969e-839j)  +/-  (3.33e-78, 6.05e-194j)
| (0.046668387718373365268 + 1.9132178398756572433e-839j)  +/-  (5.95e-80, 1.08e-195j)
| (0.067565954163607536271 - 1.0519866274790533174e-839j)  +/-  (1.4e-82, 2.53e-198j)
| (0.046668387718373365268 + 2.7264564219139724064e-840j)  +/-  (2.99e-80, 5.42e-196j)
| (0.050067499237952029799 - 3.1176907066397785232e-840j)  +/-  (3.1e-81, 5.61e-197j)
| (0.069041824829232020111 + 8.590544100606257366e-840j)  +/-  (4.8e-84, 8.7e-200j)
| (0.050067499237952029799 - 1.7754082141320050698e-839j)  +/-  (4.36e-82, 7.9e-198j)
| (0.017677535257937590617 - 7.1215284092262507948e-839j)  +/-  (5.27e-80, 9.55e-196j)
| (0.061133500831066522502 - 4.8580423850146311474e-840j)  +/-  (3.62e-84, 6.57e-200j)
| (0.053228016731268951946 + 3.5267821021924919987e-840j)  +/-  (9.98e-83, 1.81e-198j)
| (0.066425348449842528083 + 6.3447486508605399478e-840j)  +/-  (1.11e-84, 2.02e-200j)
| (0.066425348449842528083 + 1.122365761175121697e-839j)  +/-  (5.4e-85, 9.78e-201j)
| (0.053228016731268951946 + 1.654754740737082324e-839j)  +/-  (2.65e-84, 4.8e-200j)
| (0.068877316977661322882 - 9.2067344781679080965e-840j)  +/-  (2.73e-85, 4.95e-201j)
| (0.056134878759786476644 - 3.9533449825981168518e-840j)  +/-  (2.26e-84, 4.11e-200j)
| (0.06320144007381993775 + 5.336115711458015509e-840j)  +/-  (2.9e-85, 5.25e-201j)
| (0.068384577378669674532 + 9.8488383403702740883e-840j)  +/-  (1.02e-85, 1.85e-201j)
| (0.056134878759786476644 - 1.5469214285660086799e-839j)  +/-  (1.58e-86, 2.86e-202j)
| (0.064968195750723430854 - 1.1965132517147075543e-839j)  +/-  (2.75e-86, 4.99e-202j)
| (0.064968195750723430854 - 5.8315570881499776835e-840j)  +/-  (2.14e-86, 3.88e-202j)
| (0.058774232718841738574 + 4.3971333052448400614e-840j)  +/-  (4.23e-86, 7.67e-202j)
| (0.068384577378669674532 + 7.4269599835638772122e-840j)  +/-  (2.57e-87, 4.67e-203j)
| (0.061133500831066522502 - 1.3588509615009408663e-839j)  +/-  (4.32e-88, 7.86e-204j)
| (0.058774232718841738574 + 1.4489735324257973732e-839j)  +/-  (3.93e-88, 7.16e-204j)
| (0.068877316977661322882 - 7.9979031240029920421e-840j)  +/-  (5.34e-88, 9.57e-204j)
