Starting with polynomial:
P : 281474976710656*t^48 - 3307330976350208*t^46 + 18207912555970560*t^44 - 62408279992565760*t^42 + 149259802982219776*t^40 - 264596923468480512*t^38 + 360487668989034496*t^36 - 386236788202536960*t^34 + 330303106984181760*t^32 - 227542140366880768*t^30 + 126898501358452736*t^28 - 57377552049635328*t^26 + 20999667135283200*t^24 - 6192209539891200*t^22 + 1459592248688640*t^20 - 271884830638080*t^18 + 39392404439040*t^16 - 4344750489600*t^14 + 354276249600*t^12 - 20510730240*t^10 + 795674880*t^8 - 18944640*t^6 + 239200*t^4 - 1200*t^2 + 1
Extension levels are: 48
-------------------------------------------------
Ending with final polynomial:
P : 281474976710656*t^48 - 3307330976350208*t^46 + 18207912555970560*t^44 - 62408279992565760*t^42 + 149259802982219776*t^40 - 264596923468480512*t^38 + 360487668989034496*t^36 - 386236788202536960*t^34 + 330303106984181760*t^32 - 227542140366880768*t^30 + 126898501358452736*t^28 - 57377552049635328*t^26 + 20999667135283200*t^24 - 6192209539891200*t^22 + 1459592248688640*t^20 - 271884830638080*t^18 + 39392404439040*t^16 - 4344750489600*t^14 + 354276249600*t^12 - 20510730240*t^10 + 795674880*t^8 - 18944640*t^6 + 239200*t^4 - 1200*t^2 + 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 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:
| (0.99179001382324610896 - 2.9214111076445819861e-889j)  +/-  (2.14e-239, 2.14e-239j)
| (-0.99794539275033634201 - 1.0105049616873594347e-905j)  +/-  (6.44e-240, 6.44e-240j)
| (-0.94905574701066866776 - 1.0751227482702831911e-905j)  +/-  (3.08e-239, 3.08e-239j)
| (0.99794539275033634201 + 4.315722872985011013e-910j)  +/-  (6.84e-240, 6.84e-240j)
| (0.94905574701066866776 + 1.3748882340958928245e-921j)  +/-  (3.64e-239, 3.64e-239j)
| (0.92691675734602176302 + 1.0152486085359806833e-930j)  +/-  (2.18e-239, 2.18e-239j)
| (-0.96729486303902941578 - 9.6774238932242105943e-942j)  +/-  (4.5e-239, 4.5e-239j)
| (-0.87131870412338935155 - 2.039955903017472128e-943j)  +/-  (4.79e-240, 4.79e-240j)
| (-0.90096886790241912624 + 8.4252994410091992509e-944j)  +/-  (1.1e-239, 1.1e-239j)
| (-0.032051577571655174234 + 4.159270839337831027e-959j)  +/-  (3.13e-255, 3.13e-255j)
| (0.90096886790241912624 + 5.2311500759188913421e-943j)  +/-  (1.15e-239, 1.15e-239j)
| (0.67230089026131678809 - 2.3595417611957038939e-956j)  +/-  (4.75e-243, 4.75e-243j)
| (-0.92691675734602176302 - 2.2377971093779084476e-950j)  +/-  (2.19e-239, 2.19e-239j)
| (-0.80141362186795665979 - 7.1041760487873986709e-959j)  +/-  (5.75e-241, 5.75e-241j)
| (0.98155915699106535385 + 1.0667502402895209645e-955j)  +/-  (3.97e-239, 3.97e-239j)
| (0.80141362186795665979 - 5.6594642309926839999e-966j)  +/-  (4.95e-241, 4.95e-241j)
| (0.83808810489184065771 + 5.3284157926428120387e-965j)  +/-  (1.74e-240, 1.74e-240j)
| (-0.99179001382324610896 + 2.7412737096852852884e-965j)  +/-  (2.12e-239, 2.12e-239j)
| (-0.76144595836913443541 + 1.7108037535902332995e-970j)  +/-  (1.12e-241, 1.12e-241j)
| (-0.98155915699106535385 + 2.9513503114597569561e-969j)  +/-  (3.59e-239, 3.59e-239j)
| (0.87131870412338935155 - 1.2202619963544421532e-970j)  +/-  (5.17e-240, 5.17e-240j)
| (0.76144595836913443541 + 1.6543987663040833625e-979j)  +/-  (1.22e-241, 1.22e-241j)
| (0.96729486303902941578 + 3.3234668337510351059e-991j)  +/-  (3.67e-239, 3.67e-239j)
| (-0.83808810489184065771 + 5.6526025025112905908e-1009j)  +/-  (1.86e-240, 1.86e-240j)
| (-0.67230089026131678809 + 1.7333249348677328108e-1010j)  +/-  (4.68e-243, 4.68e-243j)
| (0.28452758663103244187 + 4.4945084079092843678e-1016j)  +/-  (3.36e-250, 3.36e-250j)
| (0.71834935009772757998 + 5.8534709483427668884e-1011j)  +/-  (2.75e-242, 2.75e-242j)
| (0.34536505442130763195 + 7.655052047279942172e-1018j)  +/-  (6.26e-249, 6.26e-249j)
| (-0.34536505442130763195 + 1.2056862513648431211e-1018j)  +/-  (6.73e-249, 6.73e-249j)
| (-0.71834935009772757998 - 1.5837806522176732851e-1015j)  +/-  (2.84e-242, 2.84e-242j)
| (-0.22252093395631440429 - 7.1322174256775633997e-1023j)  +/-  (2.43e-251, 2.43e-251j)
| (0.51839256831052503154 - 1.7083722272422406999e-1017j)  +/-  (1.2e-245, 1.2e-245j)
| (0.57211666012216964981 + 3.4370493287021363102e-1017j)  +/-  (9.92e-245, 9.92e-245j)
| (0.096023025907681763054 + 2.8606156147336472276e-1023j)  +/-  (4.8e-254, 4.8e-254j)
| (-0.62348980185873353053 + 8.2196417331971644173e-1019j)  +/-  (7.18e-244, 7.18e-244j)
| (-0.57211666012216964981 - 1.2697506042448243209e-1021j)  +/-  (1.04e-244, 1.04e-244j)
| (0.032051577571655174234 + 9.4457890338529607779e-1027j)  +/-  (3.13e-255, 3.13e-255j)
| (0.62348980185873353053 + 3.5634311722999490822e-1023j)  +/-  (6.98e-244, 6.98e-244j)
| (0.15959989503337922347 - 1.0085986596911339533e-1027j)  +/-  (1.23e-252, 1.23e-252j)
| (-0.28452758663103244187 - 2.7796651081885041378e-1028j)  +/-  (4.73e-250, 4.73e-250j)
| (-0.51839256831052503154 + 1.0319570157894589552e-1026j)  +/-  (1.2e-245, 1.2e-245j)
| (-0.096023025907681763054 + 6.7142128269156905614e-1032j)  +/-  (4.72e-254, 4.72e-254j)
| (0.40478334312239381716 + 9.4067579442397741391e-1029j)  +/-  (7.69e-248, 7.69e-248j)
| (0.4625382902408352777 + 2.4653475082007277417e-1027j)  +/-  (1.2e-246, 1.2e-246j)
| (-0.15959989503337922347 + 2.5070940263793624567e-1032j)  +/-  (1.2e-252, 1.2e-252j)
| (-0.4625382902408352777 + 1.4829297116208219925e-1028j)  +/-  (1.09e-246, 1.09e-246j)
| (-0.40478334312239381716 + 1.3478281723389223344e-1029j)  +/-  (8.7e-248, 8.7e-248j)
| (0.22252093395631440429 - 5.9894647413448638167e-1033j)  +/-  (2.18e-251, 2.18e-251j)
-------------------------------------------------
The weights are:
| (0.00033372588735684269616 + 8.8696725392883817141e-891j)  +/-  (2.52e-65, 8.25e-181j)
| (8.3775369150549908598e-05 + 1.2300243196902932317e-893j)  +/-  (5.91e-66, 1.93e-181j)
| (0.0020263916135922789818 + 3.0501769320621900997e-892j)  +/-  (5.71e-66, 1.87e-181j)
| (8.3775369150549908598e-05 + 3.9760719345207912168e-891j)  +/-  (9.74e-66, 3.18e-181j)
| (0.0020263916135922789818 - 1.3852871266868148935e-890j)  +/-  (2.26e-66, 7.38e-182j)
| (0.0028739862234925757145 + 1.2942305862935074893e-890j)  +/-  (1.4e-66, 4.57e-182j)
| (0.001313074447720516821 - 1.958072527658368526e-892j)  +/-  (1.58e-67, 5.15e-183j)
| (0.0049143615478517853925 - 7.7058683020379849385e-892j)  +/-  (1.75e-68, 5.72e-184j)
| (0.0038419407973598619334 + 5.9299093131645593298e-892j)  +/-  (2.62e-68, 8.57e-184j)
| (0.020387197885207513694 - 5.8172462279490438652e-891j)  +/-  (3.5e-71, 1.15e-186j)
| (0.0038419407973598619334 - 1.2358232663243831344e-890j)  +/-  (4.21e-69, 1.38e-184j)
| (0.011183908427629405745 - 1.0226574833938955276e-890j)  +/-  (9.87e-71, 3.23e-186j)
| (0.0028739862234925757145 - 4.3759137157847547648e-892j)  +/-  (1.94e-68, 6.36e-184j)
| (0.0073007389119282403891 - 1.1894053372861338283e-891j)  +/-  (3.46e-70, 1.13e-185j)
| (0.00074574737402018609158 - 2.1294742930098886142e-890j)  +/-  (3.73e-69, 1.22e-184j)
| (0.0073007389119282403891 + 1.1203311257379666623e-890j)  +/-  (4.99e-71, 1.63e-186j)
| (0.0060736393558939406413 - 1.1544162074170795365e-890j)  +/-  (1.17e-70, 3.81e-186j)
| (0.00033372588735684269616 - 4.9151055195367616571e-893j)  +/-  (8.81e-71, 2.88e-186j)
| (0.0085755112751695997605 + 1.428934512545058316e-891j)  +/-  (2.74e-73, 8.97e-189j)
| (0.00074574737402018609158 + 1.1040289747912796177e-892j)  +/-  (1.38e-70, 4.51e-186j)
| (0.0049143615478517853925 + 1.1917252704103952542e-890j)  +/-  (1.08e-71, 3.52e-187j)
| (0.0085755112751695997605 - 1.087616254894093018e-890j)  +/-  (3.58e-73, 1.17e-188j)
| (0.001313074447720516821 + 1.5660366047661631161e-890j)  +/-  (1.45e-71, 4.73e-187j)
| (0.0060736393558939406413 + 9.6966007170986422903e-892j)  +/-  (8.11e-73, 2.65e-188j)
| (0.011183908427629405745 + 1.9634020129044629946e-891j)  +/-  (6.46e-76, 2.11e-191j)
| (0.018756001070324904671 + 7.747335042152522834e-891j)  +/-  (1.44e-77, 4.7e-193j)
| (0.0098770247186565798548 + 1.055250866145063025e-890j)  +/-  (3.1e-74, 1.02e-189j)
| (0.017973938350705453423 - 8.123025322916141251e-891j)  +/-  (1.49e-77, 4.88e-193j)
| (0.017973938350705453423 + 3.9269389461915695852e-891j)  +/-  (3.3e-79, 1.08e-194j)
| (0.0098770247186565798548 - 1.6872806001848640188e-891j)  +/-  (1.97e-76, 6.45e-192j)
| (0.019397641509208358431 + 4.6667194651197526113e-891j)  +/-  (2.47e-79, 8.07e-195j)
| (0.01492386010449831916 + 9.2097519941187855384e-891j)  +/-  (2.77e-78, 9.06e-194j)
| (0.013728214841033751346 - 9.5564226251289703386e-891j)  +/-  (6.57e-78, 2.15e-193j)
| (0.020219991397868013815 - 6.5944501486560227506e-891j)  +/-  (3.12e-80, 1.02e-195j)
| (0.012474703407717493921 - 2.2561872405055006311e-891j)  +/-  (3.5e-79, 1.14e-194j)
| (0.013728214841033751346 + 2.5644598870819180535e-891j)  +/-  (5.2e-80, 1.7e-195j)
| (0.020387197885207513694 + 6.2057935897838881433e-891j)  +/-  (9.1e-81, 2.97e-196j)
| (0.012474703407717493921 + 9.8951170583059905118e-891j)  +/-  (3.73e-79, 1.22e-194j)
| (0.019888323949088455793 + 6.9818145139466470726e-891j)  +/-  (4.48e-81, 1.46e-196j)
| (0.018756001070324904671 - 4.2931312584217332187e-891j)  +/-  (1.04e-81, 3.42e-197j)
| (0.01492386010449831916 - 2.8869840768931117061e-891j)  +/-  (1.02e-81, 3.33e-197j)
| (0.020219991397868013815 + 5.4302444729675958853e-891j)  +/-  (8.01e-82, 2.62e-197j)
| (0.017064294798584865185 + 8.4925475053268602084e-891j)  +/-  (7.17e-82, 2.34e-197j)
| (0.016042006735940506631 - 8.8550106837749979625e-891j)  +/-  (9.45e-82, 3.09e-197j)
| (0.019888323949088455793 - 5.0462462846316126251e-891j)  +/-  (1.55e-82, 5.07e-198j)
| (0.016042006735940506631 + 3.2224702315372655745e-891j)  +/-  (1.69e-83, 5.53e-199j)
| (0.017064294798584865185 - 3.5695812268490747307e-891j)  +/-  (1.63e-83, 5.35e-199j)
| (0.019397641509208358431 - 7.3665362160287831861e-891j)  +/-  (1.61e-83, 4.7e-199j)
