Starting with polynomial:
P : t^48 - 1128*t^46 + 583740*t^44 - 184072680*t^42 + 39621644370*t^40 - 6180976521720*t^38 + 724204415794860*t^36 - 65178397421537400*t^34 + 4570635119185310175*t^32 - 251892779901768205200*t^30 + 10957335925726916926200*t^28 - 376533907265888599827600*t^26 + 10197793321784482911997500*t^24 - 216506996677885944900870000*t^22 + 3572365445185118090864355000*t^20 - 45249962305678162484281830000*t^18 + 432702764548047428755944999375*t^16 - 3054372455633275967689023525000*t^14 + 15441549636812672947761174487500*t^12 - 53639067159454548134328290325000*t^10 + 120687901108772733302238653231250*t^8 - 160917201478363644402984870975000*t^6 + 109716273735247939365671502937500*t^4 - 28621636626586418964957783375000*t^2 + 1192568192774434123539907640625
Extension levels are: 48
-------------------------------------------------
Ending with final polynomial:
P : t^48 - 1128*t^46 + 583740*t^44 - 184072680*t^42 + 39621644370*t^40 - 6180976521720*t^38 + 724204415794860*t^36 - 65178397421537400*t^34 + 4570635119185310175*t^32 - 251892779901768205200*t^30 + 10957335925726916926200*t^28 - 376533907265888599827600*t^26 + 10197793321784482911997500*t^24 - 216506996677885944900870000*t^22 + 3572365445185118090864355000*t^20 - 45249962305678162484281830000*t^18 + 432702764548047428755944999375*t^16 - 3054372455633275967689023525000*t^14 + 15441549636812672947761174487500*t^12 - 53639067159454548134328290325000*t^10 + 120687901108772733302238653231250*t^8 - 160917201478363644402984870975000*t^6 + 109716273735247939365671502937500*t^4 - 28621636626586418964957783375000*t^2 + 1192568192774434123539907640625
-------------------------------------------------
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
-------------------------------------------------
The nodes are:
| (9.0234802804176512572 - 3.0180864678576302079e-589j)  +/-  (8.28e-244, 8.28e-244j)
| (12.693012315439578619 + 9.3355327283263637187e-599j)  +/-  (6.73e-247, 6.73e-247j)
| (-11.75317846161661655 + 8.8572170081794598567e-601j)  +/-  (8.67e-246, 8.67e-246j)
| (-7.8875173165003657308 - 2.4891694749900661403e-603j)  +/-  (1.3e-243, 1.3e-243j)
| (6.3130699149054990322 + 1.1511079918885624277e-622j)  +/-  (3.67e-244, 3.67e-244j)
| (10.27574158173351791 - 2.6317142414488422257e-647j)  +/-  (2.08e-244, 2.08e-244j)
| (-9.0234802804176512572 + 5.7335809787040830705e-658j)  +/-  (9.67e-244, 9.67e-244j)
| (-12.693012315439578619 - 5.9043771801238863827e-669j)  +/-  (7.05e-247, 7.05e-247j)
| (-4.3575441087902914394 - 5.507705728915186468e-666j)  +/-  (5.12e-246, 5.12e-246j)
| (-6.3130699149054990322 + 4.7627736508795275876e-664j)  +/-  (3.77e-244, 3.77e-244j)
| (-10.27574158173351791 + 2.9651970861655754278e-675j)  +/-  (1.92e-244, 1.92e-244j)
| (8.4443713225234490325 - 5.8598467898371003731e-700j)  +/-  (1.13e-243, 1.13e-243j)
| (-7.3486605659089134159 + 1.5439814949993759488e-726j)  +/-  (1.06e-243, 1.06e-243j)
| (9.6308856869490599666 - 4.8164722247427053482e-745j)  +/-  (4.45e-244, 4.45e-244j)
| (11.75317846161661655 - 2.6408149858310243176e-769j)  +/-  (1e-245, 1e-245j)
| (4.8354308858789560246 + 1.2564316938084993164e-779j)  +/-  (2.09e-245, 2.09e-245j)
| (10.973300958513552299 - 1.5498935123640641966e-781j)  +/-  (6.49e-245, 6.49e-245j)
| (-6.8246513207459789233 + 5.0737401869420692512e-786j)  +/-  (6.37e-244, 6.37e-244j)
| (-2.4944147430400234149 - 2.9798995332337179111e-790j)  +/-  (6.09e-249, 6.09e-249j)
| (-10.973300958513552299 + 4.6643646549912708232e-786j)  +/-  (5.95e-245, 5.95e-245j)
| (-5.3198846204190855885 - 1.0392054430191999457e-785j)  +/-  (6.1e-245, 6.1e-245j)
| (2.9544146888801193518 - 4.0632115960796611217e-789j)  +/-  (4.04e-248, 4.04e-248j)
| (6.8246513207459789233 - 1.9425152220430827487e-784j)  +/-  (6.48e-244, 6.48e-244j)
| (-3.8852811172483914356 - 3.6488805199882539627e-795j)  +/-  (1.22e-246, 1.22e-246j)
| (-3.4178160486847761347 - 2.4085117575026399434e-796j)  +/-  (2.34e-247, 2.34e-247j)
| (-9.6308856869490599666 - 1.2355881878268227721e-790j)  +/-  (4.63e-244, 4.63e-244j)
| (-2.9544146888801193518 - 2.1575537636992455828e-797j)  +/-  (3.66e-248, 3.66e-248j)
| (7.3486605659089134159 + 1.2381188774703671956e-792j)  +/-  (9.92e-244, 9.92e-244j)
| (4.3575441087902914394 - 3.447892066349228614e-801j)  +/-  (5.61e-246, 5.61e-246j)
| (-1.5822393196749639645 - 2.5774099677081218371e-806j)  +/-  (5.26e-251, 5.26e-251j)
| (-8.4443713225234490325 - 5.6884214650439070341e-798j)  +/-  (1.15e-243, 1.15e-243j)
| (3.4178160486847761347 - 5.0389921074745410267e-805j)  +/-  (2.38e-247, 2.38e-247j)
| (5.8119999877025306408 - 3.2298170627210033456e-800j)  +/-  (1.78e-244, 1.78e-244j)
| (-5.8119999877025306408 + 2.2972076025143547969e-804j)  +/-  (1.88e-244, 1.88e-244j)
| (-1.1289732315096481443 - 1.209343158568148089e-811j)  +/-  (5.5e-252, 5.5e-252j)
| (-0.22555707298016331275 + 8.8467146545715541189e-814j)  +/-  (2.69e-254, 2.69e-254j)
| (2.0372103032590330197 + 2.8962356297786451618e-809j)  +/-  (5.93e-250, 5.93e-250j)
| (1.1289732315096481443 + 1.2737830978217191679e-811j)  +/-  (4.83e-252, 4.83e-252j)
| (5.3198846204190855885 - 3.0949259266066926514e-803j)  +/-  (6.95e-245, 6.95e-245j)
| (-4.8354308858789560246 - 6.9894523154001192179e-808j)  +/-  (2.09e-245, 2.09e-245j)
| (-0.67690814220634741736 + 5.3001476027217098529e-820j)  +/-  (2.79e-253, 2.79e-253j)
| (0.22555707298016331275 - 9.1460525984746364385e-821j)  +/-  (2.69e-254, 2.69e-254j)
| (3.8852811172483914356 - 9.3579960505592364663e-811j)  +/-  (1.36e-246, 1.36e-246j)
| (1.5822393196749639645 - 1.8409312743499567151e-822j)  +/-  (5.91e-251, 5.91e-251j)
| (7.8875173165003657308 + 2.2904771378697962915e-815j)  +/-  (1.01e-243, 1.01e-243j)
| (0.67690814220634741736 - 1.1959530145270576748e-845j)  +/-  (2.7e-253, 2.7e-253j)
| (-2.0372103032590330197 + 4.1614692282664381169e-838j)  +/-  (7.05e-250, 7.05e-250j)
| (2.4944147430400234149 - 7.0181917351667277255e-838j)  +/-  (4.93e-249, 4.93e-249j)
-------------------------------------------------
The weights are:
| (4.9254651096989571526e-19 + 6.7069180994416249885e-607j)  +/-  (5.54e-79, 7.15e-200j)
| (4.4771554738758703367e-36 + 1.2213656627694459193e-616j)  +/-  (4.39e-86, 5.66e-207j)
| (3.3764561431353731849e-31 - 5.9239331858870967583e-615j)  +/-  (1.29e-85, 1.66e-206j)
| (6.7566772746571167232e-15 - 1.0295623718853816082e-606j)  +/-  (4.8e-78, 6.19e-199j)
| (4.474287153436374991e-10 - 1.6530354930977086437e-603j)  +/-  (8.35e-74, 1.08e-194j)
| (3.1394766447992078424e-24 - 2.9970153696617749124e-610j)  +/-  (1.97e-82, 2.55e-203j)
| (4.9254651096989571526e-19 - 8.2371098142252168079e-609j)  +/-  (5.73e-81, 7.39e-202j)
| (4.4771554738758703367e-36 + 2.063795710198828619e-617j)  +/-  (6.92e-88, 8.92e-209j)
| (1.4266092324246813974e-05 + 5.9788609679184742255e-602j)  +/-  (5.56e-70, 7.17e-191j)
| (4.474287153436374991e-10 + 2.9213900636266581349e-604j)  +/-  (7.49e-76, 9.66e-197j)
| (3.1394766447992078424e-24 - 1.9446620146937525931e-611j)  +/-  (7.69e-84, 9.91e-205j)
| (7.4199935980647180142e-17 - 3.1506255027032166325e-606j)  +/-  (7.74e-82, 9.98e-203j)
| (3.975805958471490283e-13 + 8.1576002502454489287e-606j)  +/-  (2.26e-78, 2.92e-199j)
| (1.798854916237309358e-21 + 1.4790222827588457731e-608j)  +/-  (6.22e-84, 8.02e-205j)
| (3.3764561431353731849e-31 - 4.5089064813880028519e-614j)  +/-  (8.48e-89, 1.09e-209j)
| (1.6063936955426133355e-06 + 6.4101693305594900534e-602j)  +/-  (2.64e-77, 3.4e-198j)
| (2.079058971418662697e-27 + 4.9532931760834535746e-612j)  +/-  (4.08e-87, 5.25e-208j)
| (1.5883609812463567292e-11 - 5.326621499848360685e-605j)  +/-  (3.27e-80, 4.21e-201j)
| (0.0081496968553519282305 + 1.6601713426892233318e-600j)  +/-  (2.28e-70, 2.94e-191j)
| (2.079058971418662697e-27 + 4.8297940273189446633e-613j)  +/-  (2.08e-88, 2.68e-209j)
| (1.3927916895599596459e-07 + 5.5112147977864825391e-603j)  +/-  (1.96e-78, 2.53e-199j)
| (0.0023430821117604015733 + 1.6893795186645311553e-600j)  +/-  (8.32e-75, 1.07e-195j)
| (1.5883609812463567292e-11 + 3.8391798573812581913e-604j)  +/-  (7.38e-83, 9.52e-204j)
| (9.8818049176113387365e-05 - 1.6311310918913716569e-601j)  +/-  (5.81e-76, 7.5e-197j)
| (0.00053958658462718844625 + 3.9547609671772206197e-601j)  +/-  (3.53e-75, 4.55e-196j)
| (1.798854916237309358e-21 + 4.8158491823869182689e-610j)  +/-  (1.2e-86, 1.54e-207j)
| (0.0023430821117604015733 - 8.5598973225883517059e-601j)  +/-  (1.8e-74, 2.32e-195j)
| (3.975805958471490283e-13 - 7.9744332541677214911e-605j)  +/-  (5.5e-85, 7.09e-206j)
| (1.4266092324246813974e-05 - 1.7146244931000395561e-601j)  +/-  (3.55e-81, 4.57e-202j)
| (0.051805183549560263765 + 4.5457104537766475985e-600j)  +/-  (3.66e-73, 4.71e-194j)
| (7.4199935980647180142e-17 + 1.0445219555350488327e-607j)  +/-  (6.27e-85, 8.08e-206j)
| (0.00053958658462718844625 - 8.7772565514686390305e-601j)  +/-  (5.35e-80, 6.89e-201j)
| (9.154055746313820344e-09 + 6.3103989512383133851e-603j)  +/-  (1.48e-83, 1.91e-204j)
| (9.154055746313820344e-09 - 1.3660307253251624185e-603j)  +/-  (4.11e-82, 5.29e-203j)
| (0.095463400561429267951 - 6.4461846607437423139e-600j)  +/-  (1.09e-75, 1.41e-196j)
| (0.1754635418118660915 - 9.5929507317426986863e-600j)  +/-  (1.17e-75, 1.51e-196j)
| (0.022838212100091340542 + 4.5818512755649584548e-600j)  +/-  (6.23e-79, 8e-200j)
| (0.095463400561429267951 + 8.2898893739682726228e-600j)  +/-  (1.64e-76, 2.11e-197j)
| (1.3927916895599596459e-07 - 2.1343951162089906169e-602j)  +/-  (4.43e-83, 5.71e-204j)
| (1.6063936955426133355e-06 - 1.9371006467763692756e-602j)  +/-  (1.35e-81, 1.74e-202j)
| (0.14328245699317617574 + 8.265377374813008355e-600j)  +/-  (2.68e-77, 3.45e-198j)
| (0.1754635418118660915 + 1.0084829971256943787e-599j)  +/-  (1.08e-77, 1.38e-198j)
| (9.8818049176113387365e-05 + 4.0979108447980306514e-601j)  +/-  (1.28e-81, 1.64e-202j)
| (0.051805183549560263765 - 6.4788293659974968519e-600j)  +/-  (1.21e-79, 1.57e-200j)
| (6.7566772746571167232e-15 + 1.532701976098773969e-605j)  +/-  (3.76e-87, 4.96e-208j)
| (0.14328245699317617574 - 9.6060238463844380482e-600j)  +/-  (3.15e-79, 4.38e-200j)
| (0.022838212100091340542 - 2.89403719995226741e-600j)  +/-  (2.77e-80, 4.03e-201j)
| (0.0081496968553519282305 - 2.9287007668327928457e-600j)  +/-  (1.01e-80, 1.23e-201j)
