Starting with polynomial:
P : 281474976710656*t^48 - 158751886864809984*t^46 + 41077050726269583360*t^44 - 6476481664508504309760*t^42 + 697031339142727776337920*t^40 - 54368444453132766554357760*t^38 + 3185084704212694573976125440*t^36 - 143328811689571255828925644800*t^34 + 5025466459865592157501705420800*t^32 - 138479520227407428340046993817600*t^30 + 3011929564946111566396022115532800*t^28 - 51750426161346826004440743621427200*t^26 + 700787020934904935476801736540160000*t^24 - 7439123760693606238138356895580160000*t^22 + 61372771025722251464641444388536320000*t^20 - 388694216496240925942729147794063360000*t^18 + 1858444222622651927163673737890365440000*t^16 - 6559214903374065625283554369024819200000*t^14 + 16580237672417776997244540210590515200000*t^12 - 28797254904725612679424727734183526400000*t^10 + 32396911767816314264352818700956467200000*t^8 - 21597941178544209509568545800637644800000*t^6 + 7362934492685525969171095159308288000000*t^4 - 960382759915503387283186325127168000000*t^2 + 20007974164906320568399715106816000000
Extension levels are: 48
-------------------------------------------------
Ending with final polynomial:
P : 281474976710656*t^48 - 158751886864809984*t^46 + 41077050726269583360*t^44 - 6476481664508504309760*t^42 + 697031339142727776337920*t^40 - 54368444453132766554357760*t^38 + 3185084704212694573976125440*t^36 - 143328811689571255828925644800*t^34 + 5025466459865592157501705420800*t^32 - 138479520227407428340046993817600*t^30 + 3011929564946111566396022115532800*t^28 - 51750426161346826004440743621427200*t^26 + 700787020934904935476801736540160000*t^24 - 7439123760693606238138356895580160000*t^22 + 61372771025722251464641444388536320000*t^20 - 388694216496240925942729147794063360000*t^18 + 1858444222622651927163673737890365440000*t^16 - 6559214903374065625283554369024819200000*t^14 + 16580237672417776997244540210590515200000*t^12 - 28797254904725612679424727734183526400000*t^10 + 32396911767816314264352818700956467200000*t^8 - 21597941178544209509568545800637644800000*t^6 + 7362934492685525969171095159308288000000*t^4 - 960382759915503387283186325127168000000*t^2 + 20007974164906320568399715106816000000
-------------------------------------------------
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
  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
Positive weights:   48 out of 48
Indefinite weights: 0 out of 48
Negative weights:   0 out of 48
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (7.7592955197657746392 + 1.0623787739791213005e-859j)  +/-  (3.75e-245, 3.75e-245j)
| (-7.7592955197657746392 - 4.5899311781446299281e-859j)  +/-  (4.36e-245, 4.36e-245j)
| (-6.3805640961864106239 + 1.695868745060666011e-860j)  +/-  (6.04e-244, 6.04e-244j)
| (-8.3107521907047841303 + 2.6164541754219138847e-862j)  +/-  (5.89e-246, 5.89e-246j)
| (8.9753150819316870622 + 1.0880091987812299008e-862j)  +/-  (4.28e-247, 4.28e-247j)
| (7.2660465541643504028 + 2.5550130462731772358e-860j)  +/-  (1.33e-244, 1.33e-244j)
| (8.3107521907047841303 - 4.9026427746060947206e-863j)  +/-  (7.3e-246, 7.3e-246j)
| (-8.9753150819316870622 + 3.195181688140320109e-865j)  +/-  (4.07e-247, 4.07e-247j)
| (5.5773169812237286263 + 3.7363318246567045401e-860j)  +/-  (9.5e-244, 9.5e-244j)
| (4.1097046035605902365 - 1.0540121144990108116e-866j)  +/-  (1.27e-244, 1.27e-244j)
| (5.9710722250135454077 + 1.8629028517500445333e-873j)  +/-  (9.14e-244, 9.14e-244j)
| (-2.089086660944276436 + 8.0076165864792406367e-890j)  +/-  (2.82e-248, 2.82e-248j)
| (4.4640145469344589038 - 9.7791191218483060873e-885j)  +/-  (2.87e-244, 2.87e-244j)
| (6.8100645780741413866 - 8.2557271589220398612e-889j)  +/-  (3.45e-244, 3.45e-244j)
| (-5.196287718792364541 - 1.7160293595297539305e-890j)  +/-  (7.02e-244, 7.02e-244j)
| (1.4405252201375651865 - 2.0497924039291321182e-906j)  +/-  (4.46e-250, 4.46e-250j)
| (-1.4405252201375651865 - 2.2397084711590040051e-905j)  +/-  (4.38e-250, 4.38e-250j)
| (-6.8100645780741413866 + 5.6520281611090897857e-899j)  +/-  (3.68e-244, 3.68e-244j)
| (-3.4191659693638846114 + 6.6955049032530864249e-907j)  +/-  (1.49e-245, 1.49e-245j)
| (2.089086660944276436 - 5.3383112550713389143e-909j)  +/-  (3.18e-248, 3.18e-248j)
| (-3.0812489886451058497 - 2.7665899786315457991e-907j)  +/-  (3.87e-246, 3.87e-246j)
| (-4.1097046035605902365 + 3.9824170284662953097e-906j)  +/-  (1.33e-244, 1.33e-244j)
| (3.7617264902283577875 - 3.6016774138048282618e-905j)  +/-  (4.86e-245, 4.86e-245j)
| (2.7473086248223832195 + 4.9109597514822777312e-911j)  +/-  (9.43e-247, 9.43e-247j)
| (-7.2660465541643504028 + 1.8896385016039135026e-915j)  +/-  (1.41e-244, 1.41e-244j)
| (4.825757228133209484 - 3.6672654448466764705e-929j)  +/-  (4.73e-244, 4.73e-244j)
| (-5.9710722250135454077 + 3.4387974673890771366e-943j)  +/-  (8.23e-244, 8.23e-244j)
| (1.1188121524021565633 - 1.7938685184824756082e-959j)  +/-  (4.21e-251, 4.21e-251j)
| (3.4191659693638846114 - 5.5465454770744922032e-953j)  +/-  (1.58e-245, 1.58e-245j)
| (-3.7617264902283577875 - 1.5961023693745654678e-951j)  +/-  (5.14e-245, 5.14e-245j)
| (6.3805640961864106239 - 9.3039430316608434818e-956j)  +/-  (6.1e-244, 6.1e-244j)
| (-5.5773169812237286263 - 8.0758009174793599157e-958j)  +/-  (8.9e-244, 8.9e-244j)
| (5.196287718792364541 + 8.3659928469295257232e-968j)  +/-  (6.43e-244, 6.43e-244j)
| (-2.416760904873216459 + 2.0874980547055683681e-976j)  +/-  (1.89e-247, 1.89e-247j)
| (-1.1188121524021565633 - 4.0660512091873522662e-981j)  +/-  (3.83e-251, 3.83e-251j)
| (-0.47864633759449609823 + 8.4992995047626677639e-984j)  +/-  (2.62e-253, 2.62e-253j)
| (-4.825757228133209484 + 8.4057686307305182304e-979j)  +/-  (4.63e-244, 4.63e-244j)
| (0.47864633759449609823 - 1.7252440144700589055e-991j)  +/-  (2.58e-253, 2.58e-253j)
| (3.0812489886451058497 + 1.5356411994852785751e-983j)  +/-  (3.7e-246, 3.7e-246j)
| (-2.7473086248223832195 + 3.056699137306403847e-982j)  +/-  (8.67e-247, 8.67e-247j)
| (-0.79830462777856223122 + 6.5806824488925727717e-989j)  +/-  (3.24e-252, 3.24e-252j)
| (-1.7638175798953000062 + 1.1932216916457238013e-985j)  +/-  (3.52e-249, 3.52e-249j)
| (1.7638175798953000062 - 1.6313731553606369086e-985j)  +/-  (3.65e-249, 3.65e-249j)
| (0.79830462777856223122 + 2.0684817253085542674e-988j)  +/-  (3.75e-252, 3.75e-252j)
| (-4.4640145469344589038 - 4.2246064017323838218e-987j)  +/-  (2.93e-244, 2.93e-244j)
| (-0.15949293584886247051 + 2.9550632243100786243e-997j)  +/-  (1.18e-254, 1.18e-254j)
| (2.416760904873216459 - 1.331073060139049922e-991j)  +/-  (1.84e-247, 1.84e-247j)
| (0.15949293584886247051 - 3.8758490103013481148e-998j)  +/-  (1.18e-254, 1.18e-254j)
-------------------------------------------------
The weights are:
| (2.079058971418662697e-27 - 6.4134155295037975046e-881j)  +/-  (1.04e-84, 9.26e-206j)
| (2.079058971418662697e-27 - 1.0110296665077187773e-881j)  +/-  (5.04e-85, 4.47e-206j)
| (4.9254651096989571526e-19 + 2.3349430970114066976e-877j)  +/-  (1.15e-81, 1.02e-202j)
| (3.3764561431353731849e-31 + 1.2484856880609804354e-883j)  +/-  (1.53e-86, 1.36e-207j)
| (4.4771554738758703367e-36 - 1.9104159571400252091e-885j)  +/-  (1.46e-89, 1.29e-210j)
| (3.1394766447992078424e-24 + 3.2197288089667886021e-879j)  +/-  (1.41e-85, 1.25e-206j)
| (3.3764561431353731849e-31 + 6.5228974299573162922e-883j)  +/-  (6.19e-88, 5.49e-209j)
| (4.4771554738758703367e-36 - 4.3665173528037907036e-886j)  +/-  (7.51e-91, 6.67e-212j)
| (6.7566772746571167232e-15 - 1.4081446215575574781e-873j)  +/-  (1.64e-82, 1.45e-203j)
| (9.154055746313820344e-09 - 1.999334323000828002e-871j)  +/-  (1.37e-78, 1.22e-199j)
| (7.4199935980647180142e-17 - 6.7174081085921760138e-875j)  +/-  (1.11e-83, 9.83e-205j)
| (0.0023430821117604015733 + 1.9518381086980025749e-869j)  +/-  (3.61e-71, 3.21e-192j)
| (4.474287153436374991e-10 + 5.8436444834907033656e-872j)  +/-  (4.07e-80, 3.61e-201j)
| (1.798854916237309358e-21 - 1.056079979627679885e-877j)  +/-  (1.15e-85, 1.02e-206j)
| (3.975805958471490283e-13 - 1.8602355226700425236e-874j)  +/-  (5.76e-86, 5.11e-207j)
| (0.022838212100091340542 - 1.1237080898239873479e-868j)  +/-  (4.74e-68, 4.2e-189j)
| (0.022838212100091340542 + 6.6474081810771667531e-869j)  +/-  (1.45e-68, 1.29e-189j)
| (1.798854916237309358e-21 - 9.3373522263223078669e-879j)  +/-  (2.37e-89, 2.11e-210j)
| (1.6063936955426133355e-06 + 4.376134504328842543e-871j)  +/-  (8.59e-81, 7.62e-202j)
| (0.0023430821117604015733 - 4.2663090141135405688e-869j)  +/-  (8.22e-75, 7.29e-196j)
| (1.4266092324246813974e-05 - 1.3528612803153639557e-870j)  +/-  (1.34e-79, 1.19e-200j)
| (9.154055746313820344e-09 + 3.0824527104085343322e-872j)  +/-  (1.38e-83, 1.23e-204j)
| (1.3927916895599596459e-07 + 6.3066351938874072023e-871j)  +/-  (6.44e-82, 5.72e-203j)
| (9.8818049176113387365e-05 - 1.0793750925058587153e-869j)  +/-  (2.56e-79, 2.28e-200j)
| (3.1394766447992078424e-24 + 3.9981062394522347351e-880j)  +/-  (1.16e-91, 1.03e-212j)
| (1.5883609812463567292e-11 - 1.6296245353852080395e-872j)  +/-  (5.5e-85, 4.88e-206j)
| (7.4199935980647180142e-17 - 2.5404572502810165379e-876j)  +/-  (3.51e-89, 3.12e-210j)
| (0.051805183549560263765 + 1.5707329151058880899e-868j)  +/-  (1.25e-74, 1.11e-195j)
| (1.6063936955426133355e-06 - 1.8033705637282018229e-870j)  +/-  (3.17e-82, 2.82e-203j)
| (1.3927916895599596459e-07 - 1.2438217155637972862e-871j)  +/-  (1.85e-84, 1.64e-205j)
| (4.9254651096989571526e-19 + 2.682405874997795956e-876j)  +/-  (2.68e-89, 2.38e-210j)
| (6.7566772746571167232e-15 + 2.384247045790476419e-875j)  +/-  (8.81e-89, 7.82e-210j)
| (3.975805958471490283e-13 + 5.0836171550525901399e-873j)  +/-  (1.51e-86, 1.34e-207j)
| (0.00053958658462718844625 - 8.9906489820158045276e-870j)  +/-  (6.97e-83, 6.18e-204j)
| (0.051805183549560263765 - 1.0486658833295119473e-868j)  +/-  (3.76e-80, 3.34e-201j)
| (0.14328245699317617574 - 1.9264966184493958439e-868j)  +/-  (6.34e-80, 5.64e-201j)
| (1.5883609812463567292e-11 + 1.2066894603702269289e-873j)  +/-  (7.26e-88, 6.46e-209j)
| (0.14328245699317617574 + 2.2856369872865326538e-868j)  +/-  (1.62e-80, 1.45e-201j)
| (1.4266092324246813974e-05 + 4.6484712033872786697e-870j)  +/-  (3.7e-84, 3.3e-205j)
| (9.8818049176113387365e-05 + 3.6986445124909795719e-870j)  +/-  (9.17e-84, 8.13e-205j)
| (0.095463400561429267951 + 1.4943374402076040418e-868j)  +/-  (2.54e-81, 2.24e-202j)
| (0.0081496968553519282305 - 3.7985566903916303373e-869j)  +/-  (1.77e-82, 1.57e-203j)
| (0.0081496968553519282305 + 7.2798114406386304085e-869j)  +/-  (1.25e-83, 1.1e-204j)
| (0.095463400561429267951 - 1.9898111156542072472e-868j)  +/-  (1.46e-82, 1.13e-203j)
| (4.474287153436374991e-10 - 6.598755712457734684e-873j)  +/-  (1.21e-87, 1.07e-208j)
| (0.1754635418118660915 + 2.2495721748530809257e-868j)  +/-  (8.21e-83, 6.3e-204j)
| (0.00053958658462718844625 + 2.2590303832182359923e-869j)  +/-  (1.04e-84, 1.06e-205j)
| (0.1754635418118660915 - 2.3811346948334175073e-868j)  +/-  (6.55e-83, 4.63e-204j)
