Starting with polynomial:
P : 3184701532372607112841303575/70368744177664*t^49 - 4826300260399724181316202325/8796093022208*t^47 + 54918216647285282526345418035/17592186044416*t^45 - 97435545664538404482225741675/8796093022208*t^43 + 966860414671188782939009282775/35184372088832*t^41 - 445407606758637529219094163975/8796093022208*t^39 + 1264548032981419192150761591975/17592186044416*t^37 - 707721840307248052077653126265/8796093022208*t^35 + 5073427650395332421520525423225/70368744177664*t^33 - 229661333968512990274591685825/4398046511104*t^31 + 270360810874325418930848440275/8796093022208*t^29 - 64797219135168902057806650975/4398046511104*t^27 + 101083661850863487210178375521/17592186044416*t^25 - 7988698249541371486578902175/4398046511104*t^23 + 4066681402684038201417429075/8796093022208*t^21 - 412561881431714020433652225/4398046511104*t^19 + 1052956443654076082002306425/70368744177664*t^17 - 16199329902370401261573945/8796093022208*t^15 + 2999875907846370603995175/17592186044416*t^13 - 100944918383096163551175/8796093022208*t^11 + 18820239020577250831575/35184372088832*t^9 - 141505556545693615275/8796093022208*t^7 + 4911763119767877555/17592186044416*t^5 - 20146690401016725/8796093022208*t^3 + 395033145117975/70368744177664*t
Extension levels are: 49
-------------------------------------------------
Ending with final polynomial:
P : 3184701532372607112841303575/70368744177664*t^49 - 4826300260399724181316202325/8796093022208*t^47 + 54918216647285282526345418035/17592186044416*t^45 - 97435545664538404482225741675/8796093022208*t^43 + 966860414671188782939009282775/35184372088832*t^41 - 445407606758637529219094163975/8796093022208*t^39 + 1264548032981419192150761591975/17592186044416*t^37 - 707721840307248052077653126265/8796093022208*t^35 + 5073427650395332421520525423225/70368744177664*t^33 - 229661333968512990274591685825/4398046511104*t^31 + 270360810874325418930848440275/8796093022208*t^29 - 64797219135168902057806650975/4398046511104*t^27 + 101083661850863487210178375521/17592186044416*t^25 - 7988698249541371486578902175/4398046511104*t^23 + 4066681402684038201417429075/8796093022208*t^21 - 412561881431714020433652225/4398046511104*t^19 + 1052956443654076082002306425/70368744177664*t^17 - 16199329902370401261573945/8796093022208*t^15 + 2999875907846370603995175/17592186044416*t^13 - 100944918383096163551175/8796093022208*t^11 + 18820239020577250831575/35184372088832*t^9 - 141505556545693615275/8796093022208*t^7 + 4911763119767877555/17592186044416*t^5 - 20146690401016725/8796093022208*t^3 + 395033145117975/70368744177664*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:
| (0.99378866194416779076 + 3.7268575008354245832e-888j)  +/-  (1.2e-238, 1.2e-238j)
| (-0.98475789591421300436 - 3.1745717185942221585e-904j)  +/-  (1.64e-238, 1.64e-238j)
| (-0.95485365867413723356 - 1.0313229189636935205e-904j)  +/-  (1.15e-238, 1.15e-238j)
| (0.99882015060663537936 + 5.7200296602788590967e-903j)  +/-  (4.45e-239, 4.45e-239j)
| (0.95485365867413723356 + 8.9599208699846795775e-910j)  +/-  (1.22e-238, 1.22e-238j)
| (0.93410029475581014906 - 5.031095845652056415e-920j)  +/-  (7.57e-239, 7.57e-239j)
| (-0.88140844557300891004 + 2.870211602391768049e-926j)  +/-  (1.9e-239, 1.9e-239j)
| (-0.93410029475581014906 + 3.6886777415783169554e-925j)  +/-  (8.38e-239, 8.38e-239j)
| (-0.99882015060663537936 - 5.1082447452769155995e-925j)  +/-  (3.88e-239, 3.88e-239j)
| (-0.99378866194416779076 - 5.7132270267082287062e-927j)  +/-  (1.19e-238, 1.19e-238j)
| (0.84968211984416570103 - 3.8555526795600899129e-928j)  +/-  (6.38e-240, 6.38e-240j)
| (-0.063420684982686786029 + 7.7533092214017587166e-944j)  +/-  (1.19e-254, 1.19e-254j)
| (-0.81453442735985543154 + 1.7881752619671372061e-930j)  +/-  (2.09e-240, 2.09e-240j)
| (-0.90958565582807328521 - 1.0351466424640934049e-928j)  +/-  (3.82e-239, 3.82e-239j)
| (-0.42977299334157652466 + 3.8698161143407104827e-937j)  +/-  (3.31e-247, 3.31e-247j)
| (0.90958565582807328521 - 4.3941704062744242052e-927j)  +/-  (4.09e-239, 4.09e-239j)
| (0.88140844557300891004 - 1.7457137741737248173e-933j)  +/-  (1.62e-239, 1.62e-239j)
| (-0.97176220090155538014 - 1.8404248168993344499e-940j)  +/-  (1.68e-238, 1.68e-238j)
| (-0.77610689434544663502 - 1.9595675588136803149e-943j)  +/-  (5.17e-241, 5.17e-241j)
| (-0.84968211984416570103 + 2.8259675500083470643e-942j)  +/-  (6.19e-240, 6.19e-240j)
| (0.81453442735985543154 - 5.1229434859903839261e-940j)  +/-  (2e-240, 2e-240j)
| (0.77610689434544663502 - 1.9065493394215526457e-944j)  +/-  (4.28e-241, 4.28e-241j)
| (0.97176220090155538014 + 5.2090463950198229156e-960j)  +/-  (1.57e-238, 1.57e-238j)
| (-0.6900438244251321135 + 4.8562417630284564068e-982j)  +/-  (1.71e-242, 1.71e-242j)
| (-0.73455425423740269621 - 1.7788347330979130321e-981j)  +/-  (9.8e-242, 9.8e-242j)
| (0.37164350126228488886 - 2.5202348689483012533e-987j)  +/-  (2.51e-248, 2.51e-248j)
| (0.73455425423740269621 - 6.8832474791597857209e-980j)  +/-  (9.29e-242, 9.29e-242j)
| (0.6900438244251321135 + 1.8952415534684296864e-984j)  +/-  (1.79e-242, 1.79e-242j)
| (-0.12658599726967205107 + 8.3069912766340145045e-998j)  +/-  (2.47e-253, 2.47e-253j)
| (-0.64275483241923766406 + 4.7408026094468178055e-987j)  +/-  (2.92e-243, 2.92e-243j)
| (0.18924159246181358649 + 1.4854334616331623191e-995j)  +/-  (4.45e-252, 4.45e-252j)
| (0.54061324699172606656 - 6.1016985585646337459e-988j)  +/-  (4.18e-245, 4.18e-245j)
| (0.59287769410890071246 + 4.5716322098521306421e-987j)  +/-  (3.77e-244, 3.77e-244j)
| (0.12658599726967205107 - 5.7297006679304924801e-998j)  +/-  (2.93e-253, 2.93e-253j)
| (-0.54061324699172606656 + 1.8460154727774013698e-989j)  +/-  (4.04e-245, 4.04e-245j)
| (-0.59287769410890071246 - 3.5785390157717748109e-988j)  +/-  (4.19e-244, 4.19e-244j)
| (0.063420684982686786029 + 6.0973790654773085557e-999j)  +/-  (1.66e-254, 1.66e-254j)
| (0.64275483241923766406 + 6.21548958934653775e-990j)  +/-  (2.81e-243, 2.81e-243j)
| (0.31201753211974876221 + 2.9306874499268380944e-997j)  +/-  (1.94e-249, 1.94e-249j)
| (-0.25113517861257727351 + 8.185183458749031073e-1000j)  +/-  (1.03e-250, 1.03e-250j)
| (-0.48617194145249204218 + 1.2049335271136841922e-995j)  +/-  (3.8e-246, 3.8e-246j)
| (-0.18924159246181358649 + 1.521089121005150589e-1000j)  +/-  (5.32e-252, 5.32e-252j)
| (0.25113517861257727351 - 7.9103766611237563166e-999j)  +/-  (1.05e-250, 1.05e-250j)
| (0.48617194145249204218 + 1.3430507074455790657e-995j)  +/-  (4.02e-246, 4.02e-246j)
| (-3.6014682651245551841e-1004 - 7.1692962103905230324e-1005j)  +/-  (1.8e-1002, 1.8e-1002j)
| (-0.37164350126228488886 + 5.4508804323146297602e-1003j)  +/-  (2.46e-248, 2.46e-248j)
| (-0.31201753211974876221 + 9.881397107745827618e-1006j)  +/-  (1.85e-249, 1.85e-249j)
| (0.98475789591421300436 - 1.4302596096153709169e-1005j)  +/-  (1.42e-238, 1.42e-238j)
| (0.42977299334157652466 - 9.7364913537115115971e-1030j)  +/-  (3.13e-247, 3.13e-247j)
-------------------------------------------------
The weights are:
| (0.0070350995900864514735 - 2.1039857121693592575e-888j)  +/-  (1.58e-56, 2.39e-172j)
| (0.011020551031593580498 + 2.5922529625989204418e-890j)  +/-  (4.63e-57, 6.99e-173j)
| (0.018843595853089458444 + 5.8784649679650326165e-890j)  +/-  (4.56e-57, 6.89e-173j)
| (0.0030272789889229050775 - 1.4916799052055871626e-888j)  +/-  (5.11e-57, 7.71e-173j)
| (0.018843595853089458444 + 2.9420892910688739772e-888j)  +/-  (8.86e-58, 1.34e-173j)
| (0.022649201587446676499 - 2.5285046090524792787e-888j)  +/-  (5.44e-58, 8.21e-174j)
| (0.029971884620583825351 - 1.2249667345622403763e-889j)  +/-  (2.51e-59, 3.78e-175j)
| (0.022649201587446676499 - 7.8283715987935531796e-890j)  +/-  (5.13e-59, 7.75e-175j)
| (0.0030272789889229050775 + 3.7666051077355193464e-891j)  +/-  (4.77e-60, 7.19e-176j)
| (0.0070350995900864514735 - 1.3191342727308792776e-890j)  +/-  (1.05e-59, 1.58e-175j)
| (0.033459466791622174342 + 1.8800761893725709499e-888j)  +/-  (3.27e-63, 4.93e-179j)
| (0.063335509296491748591 - 6.6731861583947705334e-889j)  +/-  (2.71e-64, 4.09e-180j)
| (0.036812320963000689819 - 1.7289426955051950394e-889j)  +/-  (1.07e-62, 1.61e-178j)
| (0.026363618927066016961 + 9.9566287920070480902e-890j)  +/-  (4.08e-61, 6.15e-177j)
| (0.057302681530187475485 - 4.2649544311503603691e-889j)  +/-  (8e-65, 1.21e-180j)
| (0.026363618927066016961 + 2.2506549835250595128e-888j)  +/-  (1.41e-63, 2.12e-179j)
| (0.029971884620583825351 - 2.0440021843963912019e-888j)  +/-  (6.58e-64, 9.92e-180j)
| (0.01496214493562465103 - 4.1247829510182848019e-890j)  +/-  (3.79e-61, 5.72e-177j)
| (0.040016945766373021369 + 2.0020504118829412526e-889j)  +/-  (2.66e-64, 4.01e-180j)
| (0.033459466791622174342 + 1.4696803508445177922e-889j)  +/-  (7.58e-63, 1.14e-178j)
| (0.036812320963000689819 - 1.744163536005637352e-888j)  +/-  (7.08e-67, 1.07e-182j)
| (0.040016945766373021369 + 1.6277983069263857679e-888j)  +/-  (1.02e-67, 1.54e-183j)
| (0.01496214493562465103 - 3.6807867921863023047e-888j)  +/-  (2.21e-66, 3.33e-182j)
| (0.045930539355595853542 + 2.5875978798061857223e-889j)  +/-  (1.32e-67, 1.99e-183j)
| (0.043060436981259597988 - 2.2884261373065448874e-889j)  +/-  (1.03e-66, 1.56e-182j)
| (0.058917275760027266025 + 1.0174171409989848657e-888j)  +/-  (4.7e-72, 7.09e-188j)
| (0.043060436981259597988 - 1.5257176462826879095e-888j)  +/-  (9.62e-70, 1.45e-185j)
| (0.045930539355595853542 + 1.4344544609436934595e-888j)  +/-  (1.09e-70, 1.64e-186j)
| (0.062952707465195699474 + 6.2399620276297160958e-889j)  +/-  (7.75e-73, 1.17e-188j)
| (0.048615695887828240278 - 2.8991856574371995928e-889j)  +/-  (1.51e-70, 2.28e-186j)
| (0.062316417320057267401 - 8.5580796609753751026e-889j)  +/-  (9.53e-74, 1.44e-189j)
| (0.053388710708258968528 - 1.2048700007009054862e-888j)  +/-  (5.46e-73, 8.24e-189j)
| (0.051105094330144590675 + 1.2755091894131463059e-888j)  +/-  (1.28e-72, 1.93e-188j)
| (0.062952707465195699474 + 8.0616626481850699986e-889j)  +/-  (3.55e-74, 5.35e-190j)
| (0.053388710708258968528 - 3.5585035403797430335e-889j)  +/-  (1.95e-73, 2.94e-189j)
| (0.051105094330144590675 + 3.2228932167091207362e-889j)  +/-  (8.51e-73, 1.28e-188j)
| (0.063335509296491748591 - 7.5829724959782762901e-889j)  +/-  (6.79e-75, 1.02e-190j)
| (0.048615695887828240278 - 1.3516199943041623619e-888j)  +/-  (9.99e-74, 1.51e-189j)
| (0.060294630953152017303 - 9.6118057818879322746e-889j)  +/-  (2.97e-75, 4.48e-191j)
| (0.061429200979192936297 + 5.413077562387877311e-889j)  +/-  (3.24e-76, 4.89e-192j)
| (0.05545734967480358869 + 3.9058773854682464105e-889j)  +/-  (2.85e-75, 4.3e-191j)
| (0.062316417320057267401 - 5.820119887881934616e-889j)  +/-  (4.17e-76, 6.28e-192j)
| (0.061429200979192936297 + 9.0740425507310173372e-889j)  +/-  (2.23e-76, 3.35e-192j)
| (0.05545734967480358869 + 1.138761671717972664e-888j)  +/-  (3.44e-77, 5.17e-193j)
| (0.063463281404790597718 + 7.1205410151214042284e-889j)  +/-  (2.52e-76, 3.8e-192j)
| (0.058917275760027266025 + 4.635756852108139527e-889j)  +/-  (4.27e-77, 6.47e-193j)
| (0.060294630953152017303 - 5.0183953157522390664e-889j)  +/-  (3.61e-77, 5.47e-193j)
| (0.011020551031593580498 + 5.6793556152777256257e-888j)  +/-  (5.04e-79, 7.92e-195j)
| (0.057302681530187475485 - 1.0764639934151616949e-888j)  +/-  (8.37e-78, 1.23e-193j)
