Starting with polynomial:
P : 50803160635786570329644235/4398046511104*t^47 - 590518458572960027165004495/4398046511104*t^45 + 3212160846083683664249200275/4398046511104*t^43 - 10863600164844817785831564975/4398046511104*t^41 + 25598138319461926966614607125/4398046511104*t^39 - 44631107046403030311203350305/4398046511104*t^37 + 59687384122298028488476769685/4398046511104*t^35 - 62634909264139906438525005225/4398046511104*t^33 + 26163949439450846993307913575/2199023255552*t^31 - 17555896810021131099405742875/2199023255552*t^29 + 9503592139824772301811642143/2199023255552*t^27 - 4154123089761513173021029131/2199023255552*t^25 + 1462719397803349708810221525/2199023255552*t^23 - 412561881431714020433652225/2199023255552*t^21 + 92364600320532989649325125/2199023255552*t^19 - 16199329902370401261573945/2199023255552*t^17 + 4371247751433282880107255/4398046511104*t^15 - 442604642141267794032075/4398046511104*t^13 + 32507685580997069618175/4398046511104*t^11 - 1650898159699758844875/4398046511104*t^9 + 54029394317446653105/4398046511104*t^7 - 1019422534291446285/4398046511104*t^5 + 9085762337713425/4398046511104*t^3 - 24185702762325/4398046511104*t
Extension levels are: 47
-------------------------------------------------
Ending with final polynomial:
P : 50803160635786570329644235/4398046511104*t^47 - 590518458572960027165004495/4398046511104*t^45 + 3212160846083683664249200275/4398046511104*t^43 - 10863600164844817785831564975/4398046511104*t^41 + 25598138319461926966614607125/4398046511104*t^39 - 44631107046403030311203350305/4398046511104*t^37 + 59687384122298028488476769685/4398046511104*t^35 - 62634909264139906438525005225/4398046511104*t^33 + 26163949439450846993307913575/2199023255552*t^31 - 17555896810021131099405742875/2199023255552*t^29 + 9503592139824772301811642143/2199023255552*t^27 - 4154123089761513173021029131/2199023255552*t^25 + 1462719397803349708810221525/2199023255552*t^23 - 412561881431714020433652225/2199023255552*t^21 + 92364600320532989649325125/2199023255552*t^19 - 16199329902370401261573945/2199023255552*t^17 + 4371247751433282880107255/4398046511104*t^15 - 442604642141267794032075/4398046511104*t^13 + 32507685580997069618175/4398046511104*t^11 - 1650898159699758844875/4398046511104*t^9 + 54029394317446653105/4398046511104*t^7 - 1019422534291446285/4398046511104*t^5 + 9085762337713425/4398046511104*t^3 - 24185702762325/4398046511104*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:
| (0.99325521098776863469 - 6.9915260574932843352e-850j)  +/-  (1.91e-239, 1.91e-239j)
| (-0.99871872858421210918 + 1.0148397938166150152e-869j)  +/-  (5.78e-240, 5.78e-240j)
| (-0.90194132943852535687 + 1.4638489511462031421e-871j)  +/-  (5.2e-240, 5.2e-240j)
| (0.50473758386357791977 - 7.0856046501147656609e-878j)  +/-  (3.75e-246, 3.75e-246j)
| (0.98345100307162370876 + 1.1164675565740508838e-868j)  +/-  (2.44e-239, 2.44e-239j)
| (0.9285026930123606482 - 1.5802729048150330188e-882j)  +/-  (1.14e-239, 1.14e-239j)
| (-0.96934678732656449715 - 6.2919781390244097085e-891j)  +/-  (2.38e-239, 2.38e-239j)
| (-0.87143601579689631694 + 1.1541298072865633673e-895j)  +/-  (2.26e-240, 2.26e-240j)
| (-0.26146545921497457031 - 8.0307987853899557328e-908j)  +/-  (9.51e-251, 9.51e-251j)
| (0.99871872858421210918 - 5.1485496825602931422e-893j)  +/-  (6.66e-240, 6.66e-240j)
| (0.87143601579689631694 + 4.7424253070756032655e-904j)  +/-  (2.34e-240, 2.34e-240j)
| (-0.98345100307162370876 + 4.0650685790982846769e-911j)  +/-  (2.46e-239, 2.46e-239j)
| (-0.9285026930123606482 - 2.1767009218187925372e-913j)  +/-  (1.23e-239, 1.23e-239j)
| (-0.79914375416774194292 - 1.1753255026370955108e-917j)  +/-  (2.3e-241, 2.3e-241j)
| (0.95100396925770844259 - 7.0384590047303201628e-914j)  +/-  (1.69e-239, 1.69e-239j)
| (0.90194132943852535687 + 1.5857589224788087309e-923j)  +/-  (5.84e-240, 5.84e-240j)
| (0.79914375416774194292 + 2.7805831932970157108e-930j)  +/-  (2.58e-241, 2.58e-241j)
| (-0.83712013989990212128 - 5.0022294759315031332e-930j)  +/-  (7.79e-241, 7.79e-241j)
| (-0.75767291844543863357 - 1.3114894164519917176e-931j)  +/-  (6.39e-242, 6.39e-242j)
| (-0.99325521098776863469 + 5.9697074828053924332e-929j)  +/-  (1.54e-239, 1.54e-239j)
| (0.83712013989990212128 + 1.50055208210785358e-931j)  +/-  (7.08e-241, 7.08e-241j)
| (0.75767291844543863357 + 3.2346236298472689351e-937j)  +/-  (5.61e-242, 5.61e-242j)
| (0.96934678732656449715 + 1.8367648248619244083e-947j)  +/-  (2.34e-239, 2.34e-239j)
| (-0.32468148633773590221 - 1.4755138568938789557e-972j)  +/-  (1.82e-249, 1.82e-249j)
| (-0.71288897340906430166 + 4.5187900311756738668e-966j)  +/-  (1.09e-242, 1.09e-242j)
| (0.32468148633773590221 - 1.0699804975607670015e-973j)  +/-  (1.81e-249, 1.81e-249j)
| (0.71288897340906430166 - 7.5180180465871918527e-967j)  +/-  (1.1e-242, 1.1e-242j)
| (0.66498774739033272914 - 3.3259824985144133505e-971j)  +/-  (1.89e-243, 1.89e-243j)
| (0.06608692391635567516 + 2.696249881205579354e-975j)  +/-  (1.54e-254, 1.54e-254j)
| (-0.66498774739033272914 + 6.2869143621034274068e-971j)  +/-  (2.25e-243, 2.25e-243j)
| (0.13188486655451489705 + 3.6044421112768645961e-976j)  +/-  (2.87e-253, 2.87e-253j)
| (0.19710611027911180796 - 1.6754164969535511043e-977j)  +/-  (4.28e-252, 4.28e-252j)
| (0.56068400593466419448 + 3.0076650869422287995e-973j)  +/-  (3.42e-245, 3.42e-245j)
| (-0.13188486655451489705 - 1.2166065058563936075e-977j)  +/-  (2.6e-253, 2.6e-253j)
| (-0.6141786999563736086 + 8.6529492939925290913e-973j)  +/-  (2.55e-244, 2.55e-244j)
| (-0.44658407310485570273 - 1.816554213437605421e-973j)  +/-  (3.2e-247, 3.2e-247j)
| (7.4952111923753983575e-977 + 4.8895401042082316929e-977j)  +/-  (4.21e-975, 4.21e-975j)
| (0.6141786999563736086 - 8.0735478224305177256e-973j)  +/-  (3.22e-244, 3.22e-244j)
| (0.26146545921497457031 - 4.5089501681095176891e-977j)  +/-  (8.56e-251, 8.56e-251j)
| (-0.19710611027911180796 + 1.0103836952342935498e-977j)  +/-  (4.19e-252, 4.19e-252j)
| (-0.56068400593466419448 - 1.279963605850711927e-973j)  +/-  (3.69e-245, 3.69e-245j)
| (-0.95100396925770844259 - 4.0931813274228392599e-980j)  +/-  (1.83e-239, 1.83e-239j)
| (0.38647776408466713958 - 5.2834247590917453346e-990j)  +/-  (2.47e-248, 2.47e-248j)
| (0.44658407310485570273 - 6.3937419799838745692e-989j)  +/-  (3.15e-247, 3.15e-247j)
| (-0.06608692391635567516 - 1.7138779500682243578e-993j)  +/-  (1.54e-254, 1.54e-254j)
| (-0.50473758386357791977 - 4.415691325388257552e-989j)  +/-  (4.17e-246, 4.17e-246j)
| (-0.38647776408466713958 + 1.2366533667149688744e-992j)  +/-  (3.01e-248, 3.01e-248j)
-------------------------------------------------
The weights are:
| (0.0076386162958488336141 + 3.9456290358893641368e-850j)  +/-  (1.37e-68, 1.35e-184j)
| (0.0032874538425280148832 - 7.676376706141564888e-853j)  +/-  (4.39e-69, 4.33e-185j)
| (0.028554150700643386505 - 2.0292502901818699253e-851j)  +/-  (3.34e-69, 3.3e-185j)
| (0.057091580293231540222 + 2.2251923243131483421e-850j)  +/-  (1.72e-69, 1.7e-185j)
| (0.011962848464312320964 - 1.065160502056249796e-849j)  +/-  (2.22e-69, 2.19e-185j)
| (0.024549211659658818538 + 4.7351176114872034881e-850j)  +/-  (4.54e-70, 4.48e-186j)
| (0.016235333146433059671 + 8.406421346949385953e-852j)  +/-  (2.37e-70, 2.34e-186j)
| (0.032434235515184756768 + 2.4966389871349277471e-851j)  +/-  (3.03e-70, 2.99e-186j)
| (0.063834216605717030631 + 1.024274807372944038e-850j)  +/-  (1.45e-71, 1.43e-187j)
| (0.0032874538425280148832 + 2.7987724170459895491e-850j)  +/-  (7.06e-70, 6.96e-186j)
| (0.032434235515184756768 + 3.8216151473211149956e-850j)  +/-  (2.6e-71, 2.56e-187j)
| (0.011962848464312320964 - 5.283058732728309536e-852j)  +/-  (1.11e-70, 1.1e-186j)
| (0.024549211659658818538 + 1.5954704159940608601e-851j)  +/-  (1.21e-70, 1.19e-186j)
| (0.039752586122531003781 + 3.5240113785547612792e-851j)  +/-  (2.91e-72, 2.87e-188j)
| (0.020436938147668427642 - 5.5130464749807527602e-850j)  +/-  (3.95e-71, 3.89e-187j)
| (0.028554150700643386505 - 4.2116577067614574628e-850j)  +/-  (1.85e-71, 1.82e-187j)
| (0.039752586122531003781 + 3.2540244927295424344e-850j)  +/-  (2.69e-73, 2.65e-189j)
| (0.036172496584174951613 - 2.9954718738484244737e-851j)  +/-  (1.44e-72, 1.43e-188j)
| (0.043158848648479538268 - 4.0808468985536221941e-851j)  +/-  (7.14e-74, 7.05e-190j)
| (0.0076386162958488336141 + 2.68841201560419548e-852j)  +/-  (3.3e-72, 3.25e-188j)
| (0.036172496584174951613 - 3.5115991839424332853e-850j)  +/-  (2.39e-73, 2.35e-189j)
| (0.043158848648479538268 - 3.0330249143423712852e-850j)  +/-  (9.38e-75, 9.25e-191j)
| (0.016235333146433059671 + 6.9006888818717691208e-850j)  +/-  (1.43e-72, 1.41e-188j)
| (0.062551746220921662641 - 9.4590804495669777732e-851j)  +/-  (3.96e-78, 3.91e-194j)
| (0.046376389086505911204 + 4.6648315729234818521e-851j)  +/-  (1.16e-76, 1.15e-192j)
| (0.062551746220921662641 - 1.8646364324239886244e-850j)  +/-  (8.95e-79, 8.82e-195j)
| (0.046376389086505911204 + 2.8387423992519484372e-850j)  +/-  (4.29e-76, 4.23e-192j)
| (0.049391137747361169605 - 2.664687175713213818e-850j)  +/-  (6.23e-77, 6.15e-193j)
| (0.065990533588810474534 - 1.4569527832945966466e-850j)  +/-  (1.87e-80, 1.84e-196j)
| (0.049391137747361169605 - 5.2750418509694745199e-851j)  +/-  (2.51e-79, 2.47e-195j)
| (0.065557377766549740251 + 1.5528315674211371902e-850j)  +/-  (1.71e-80, 1.69e-196j)
| (0.064837556238945726703 - 1.6524487533812882369e-850j)  +/-  (1.29e-80, 1.27e-196j)
| (0.054760472781530225957 - 2.3606721420115625032e-850j)  +/-  (1.13e-79, 1.11e-195j)
| (0.065557377766549740251 + 1.1887969229556732081e-850j)  +/-  (4.18e-82, 4.12e-198j)
| (0.052189911780057144872 + 5.9107521800164126867e-851j)  +/-  (8.59e-82, 8.48e-198j)
| (0.059173040942338875976 - 7.9663481415066134572e-851j)  +/-  (1.08e-82, 1.07e-198j)
| (0.066135129623655479653 + 1.364485553692421656e-850j)  +/-  (3.34e-82, 3.3e-198j)
| (0.052189911780057144872 + 2.5063920387719603386e-850j)  +/-  (6.35e-81, 6.27e-197j)
| (0.063834216605717030631 + 1.7562131331647673697e-850j)  +/-  (4.83e-82, 4.77e-198j)
| (0.064837556238945726703 - 1.1052069363035827003e-850j)  +/-  (6.59e-83, 6.5e-199j)
| (0.054760472781530225957 - 6.5714204396464983332e-851j)  +/-  (1.15e-83, 1.14e-199j)
| (0.020436938147668427642 - 1.1980555969603728705e-851j)  +/-  (3.16e-83, 3.11e-199j)
| (0.060995753008739645331 + 1.9783615652504936377e-850j)  +/-  (4.95e-83, 4.88e-199j)
| (0.059173040942338875976 - 2.0982013152039157263e-850j)  +/-  (5.3e-83, 5.23e-199j)
| (0.065990533588810474534 - 1.2751691563306281802e-850j)  +/-  (6.53e-84, 6.44e-200j)
| (0.057091580293231540222 + 7.2566815935606347873e-851j)  +/-  (6.56e-85, 6.56e-201j)
| (0.060995753008739645331 + 8.700416684256575264e-851j)  +/-  (7.58e-85, 7.38e-201j)
