Starting with polynomial:
P : 8796093022208*t^43 - 3971435999526912*t^41 + 814144379903016960*t^39 - 100546830918022594560*t^37 + 8370523673925380997120*t^35 - 498046158598560169328640*t^33 + 21914030978336647450460160*t^31 - 727858886066181504604569600*t^29 + 18469419233929355679340953600*t^27 - 360153675061622435747148595200*t^25 + 5402305125924336536207228928000*t^23 - 62126508948129870166383132672000*t^21 + 543606953296136363955852410880000*t^19 - 3575261115909204547555798548480000*t^17 + 17365553991558993516699592949760000*t^15 - 60779438970456477308448575324160000*t^13 + 148149882490487663439343402352640000*t^11 - 239654221675788867328349621452800000*t^9 + 239654221675788867328349621452800000*t^7 - 132440490926093847734087948697600000*t^5 + 33110122731523461933521987174400000*t^3 - 2365008766537390138108713369600000*t
Extension levels are: 43
-------------------------------------------------
Ending with final polynomial:
P : 8796093022208*t^43 - 3971435999526912*t^41 + 814144379903016960*t^39 - 100546830918022594560*t^37 + 8370523673925380997120*t^35 - 498046158598560169328640*t^33 + 21914030978336647450460160*t^31 - 727858886066181504604569600*t^29 + 18469419233929355679340953600*t^27 - 360153675061622435747148595200*t^25 + 5402305125924336536207228928000*t^23 - 62126508948129870166383132672000*t^21 + 543606953296136363955852410880000*t^19 - 3575261115909204547555798548480000*t^17 + 17365553991558993516699592949760000*t^15 - 60779438970456477308448575324160000*t^13 + 148149882490487663439343402352640000*t^11 - 239654221675788867328349621452800000*t^9 + 239654221675788867328349621452800000*t^7 - 132440490926093847734087948697600000*t^5 + 33110122731523461933521987174400000*t^3 - 2365008766537390138108713369600000*t
-------------------------------------------------
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:   43 out of 43
Indefinite weights: 0 out of 43
Negative weights:   0 out of 43
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-7.7591530847325340408 - 1.6456319924528701208e-881j)  +/-  (1.01e-246, 1.01e-246j)
| (7.7591530847325340408 + 2.0274016087646715612e-880j)  +/-  (1.13e-246, 1.13e-246j)
| (-6.2246289668942206854 - 1.4056456097751759392e-880j)  +/-  (3.52e-245, 3.52e-245j)
| (5.3643829011515566821 - 4.7137468124155649494e-879j)  +/-  (4.83e-245, 4.83e-245j)
| (-7.1958276123464342499 - 4.5219029728681058876e-890j)  +/-  (4.97e-246, 4.97e-246j)
| (7.1958276123464342499 + 3.4553649469499632724e-888j)  +/-  (4.37e-246, 4.37e-246j)
| (-6.6914198727121077473 + 1.3551789863829410431e-889j)  +/-  (1.46e-245, 1.46e-245j)
| (8.4372386310833762837 - 1.257042999569855724e-892j)  +/-  (6.91e-248, 6.91e-248j)
| (4.9599816751949553142 - 5.5213593440548798974e-889j)  +/-  (4.62e-245, 4.62e-245j)
| (6.2246289668942206854 + 5.6886945859005710209e-896j)  +/-  (3.3e-245, 3.3e-245j)
| (5.784480314077557164 + 1.8172387209682779149e-906j)  +/-  (4.82e-245, 4.82e-245j)
| (-4.9599816751949553142 + 4.2752435402409039241e-910j)  +/-  (4.38e-245, 4.38e-245j)
| (-2.3838237072843598124 + 1.2303207146399319515e-917j)  +/-  (3.52e-248, 3.52e-248j)
| (-3.0886190396004187149 - 6.6707955945525502688e-916j)  +/-  (8.38e-247, 8.38e-247j)
| (-3.8139101240654274073 - 3.6760518604911028867e-915j)  +/-  (9.18e-246, 9.18e-246j)
| (-8.4372386310833762837 - 1.2434793608649814787e-917j)  +/-  (6.5e-248, 6.5e-248j)
| (2.734084694537905039 + 8.8586706707849063625e-916j)  +/-  (1.95e-247, 1.95e-247j)
| (-5.784480314077557164 + 2.1799675933433939201e-917j)  +/-  (4.44e-245, 4.44e-245j)
| (-5.3643829011515566821 - 1.8630899990035786985e-919j)  +/-  (5.65e-245, 5.65e-245j)
| (3.8139101240654274073 - 1.1253229823257279806e-933j)  +/-  (7.91e-246, 7.91e-246j)
| (1.3519593686708703715 - 3.1817562791541021211e-950j)  +/-  (1.02e-250, 1.02e-250j)
| (-4.5682020755441553491 - 5.3977155522000451362e-944j)  +/-  (3.53e-245, 3.53e-245j)
| (6.6914198727121077473 - 3.8974371412680041799e-954j)  +/-  (1.36e-245, 1.36e-245j)
| (-1.6933605309399098652 - 3.0340750088155007875e-968j)  +/-  (1.1e-249, 1.1e-249j)
| (2.3838237072843598124 - 1.22921094477436326e-965j)  +/-  (4.09e-248, 4.09e-248j)
| (4.1867640213660029218 + 5.6318940811457728992e-973j)  +/-  (1.97e-245, 1.97e-245j)
| (-4.1867640213660029218 + 6.7249354777600794881e-985j)  +/-  (1.94e-245, 1.94e-245j)
| (3.0886190396004187149 - 8.0243336445514622934e-985j)  +/-  (8.13e-247, 8.13e-247j)
| (4.5682020755441553491 - 5.4991524353581948932e-996j)  +/-  (3.06e-245, 3.06e-245j)
| (-0.67419327674231391412 - 1.929080373084784058e-1010j)  +/-  (9.84e-253, 9.84e-253j)
| (-2.0371256888641935769 + 2.3855214703285469577e-1006j)  +/-  (6.42e-249, 6.42e-249j)
| (-3.4482424822200031019 - 7.240944488522865298e-1006j)  +/-  (3.11e-246, 3.11e-246j)
| (0.67419327674231391412 - 2.5856950474334216989e-1012j)  +/-  (7.56e-253, 7.56e-253j)
| (-6.5106906731998083086e-1024 + 1.3300842968083119129e-1022j)  +/-  (5.73e-1021, 5.73e-1021j)
| (-1.0123996845633197964 - 2.5536003667575665772e-1010j)  +/-  (1e-251, 1e-251j)
| (3.4482424822200031019 - 3.5720464684015368591e-1008j)  +/-  (2.75e-246, 2.75e-246j)
| (0.33687619662553302459 - 1.6307981460561996207e-1015j)  +/-  (3.57e-254, 3.57e-254j)
| (1.0123996845633197964 - 3.2659797182090473892e-1015j)  +/-  (1.01e-251, 1.01e-251j)
| (1.6933605309399098652 + 1.7982561133103189741e-1011j)  +/-  (9.92e-250, 9.92e-250j)
| (-2.734084694537905039 - 2.4318737590463217586e-1012j)  +/-  (1.9e-247, 1.9e-247j)
| (-0.33687619662553302459 - 4.4952776539111461939e-1018j)  +/-  (3.57e-254, 3.57e-254j)
| (-1.3519593686708703715 - 2.4112293580829685672e-1015j)  +/-  (1.04e-250, 1.04e-250j)
| (2.0371256888641935769 - 2.0743696705331284992e-1014j)  +/-  (6.74e-249, 6.74e-249j)
-------------------------------------------------
The weights are:
| (2.4385097855866963231e-27 - 4.8293462614255943338e-900j)  +/-  (2.26e-90, 2.57e-212j)
| (2.4385097855866963231e-27 + 2.6417867482644135839e-899j)  +/-  (3.41e-91, 3.87e-213j)
| (3.79745385179088823e-18 + 2.1209605053684934376e-895j)  +/-  (6.14e-87, 6.96e-209j)
| (7.3864287975093105214e-14 + 1.8677512846197847186e-891j)  +/-  (2.04e-85, 2.31e-207j)
| (9.7059611743871922575e-24 + 3.1864354923210271077e-898j)  +/-  (1.85e-89, 2.1e-211j)
| (9.7059611743871922575e-24 - 2.179323151818543143e-897j)  +/-  (2.28e-90, 2.58e-212j)
| (9.772188868028616492e-21 - 1.0562700629381553888e-896j)  +/-  (1.8e-88, 2.04e-210j)
| (5.3520752240799096366e-32 - 9.6454372358562637258e-902j)  +/-  (1.49e-93, 1.69e-215j)
| (4.6416475761066535806e-12 - 6.8250175073337752356e-891j)  +/-  (1.86e-85, 2.11e-207j)
| (3.79745385179088823e-18 - 2.9021074043920553012e-894j)  +/-  (7.15e-89, 8.1e-211j)
| (7.121219095949836797e-16 + 8.1379295122095681153e-893j)  +/-  (1.25e-87, 1.42e-209j)
| (4.6416475761066535806e-12 - 2.6686862431097845451e-892j)  +/-  (8.7e-89, 9.87e-211j)
| (0.00066916839169690166212 + 4.2752612722373441564e-888j)  +/-  (3.28e-80, 3.72e-202j)
| (1.4488711829612319205e-05 + 5.7655011270671846208e-889j)  +/-  (1.42e-83, 1.61e-205j)
| (1.0030066755417815115e-07 + 4.4169229330819554498e-890j)  +/-  (2.55e-86, 2.89e-208j)
| (5.3520752240799096366e-32 + 2.1502716902265922164e-902j)  +/-  (4.83e-98, 5.48e-220j)
| (0.00011268240163838016711 - 5.1698662201427082477e-888j)  +/-  (2.42e-85, 2.74e-207j)
| (7.121219095949836797e-16 - 3.0498018036831834086e-894j)  +/-  (2.63e-91, 2.98e-213j)
| (7.3864287975093105214e-14 + 3.2366172808756663402e-893j)  +/-  (1.41e-90, 1.6e-212j)
| (1.0030066755417815115e-07 + 2.616718075149156666e-889j)  +/-  (5.18e-90, 5.87e-212j)
| (0.030875167245633445184 - 5.6096042422254123528e-887j)  +/-  (3.2e-81, 3.63e-203j)
| (1.884798249393542386e-10 + 1.7684650591218744384e-891j)  +/-  (7.3e-90, 8.27e-212j)
| (9.772188868028616492e-21 + 9.5434620091503629997e-896j)  +/-  (2.06e-95, 2.34e-217j)
| (0.01098373316809109537 + 1.9017261344228450521e-887j)  +/-  (5.08e-84, 5.75e-206j)
| (0.00066916839169690166212 + 1.111786296805359804e-887j)  +/-  (5.22e-87, 5.92e-209j)
| (5.1867054608185025639e-09 - 7.8345497061771943203e-890j)  +/-  (3.84e-91, 4.35e-213j)
| (5.1867054608185025639e-09 - 9.6502451847276017141e-891j)  +/-  (1.27e-90, 1.44e-212j)
| (1.4488711829612319205e-05 + 2.1426365555726587712e-888j)  +/-  (1.61e-89, 1.82e-211j)
| (1.884798249393542386e-10 + 2.2090084646898767211e-890j)  +/-  (6.51e-92, 7.41e-214j)
| (0.12093036830966250338 - 7.3759100724602685845e-887j)  +/-  (8.84e-86, 9.99e-208j)
| (0.0030700123957878347397 - 9.5867006848463855697e-888j)  +/-  (3.01e-88, 3.43e-210j)
| (1.4020888279499707889e-06 - 1.7201690185318600436e-889j)  +/-  (1.97e-90, 2.23e-212j)
| (0.12093036830966250338 - 9.4972454628481855641e-887j)  +/-  (3.07e-86, 3.47e-208j)
| (0.19002072478258652824 - 1.0408405278428383164e-886j)  +/-  (2.54e-86, 2.87e-208j)
| (0.068587049431093171781 + 5.26004356491492324e-887j)  +/-  (7.86e-87, 8.86e-209j)
| (1.4020888279499707889e-06 - 7.9163602223210791621e-889j)  +/-  (1.41e-90, 1.59e-212j)
| (0.16974545978387677358 + 1.0496844927491471203e-886j)  +/-  (1.8e-86, 2.03e-208j)
| (0.068587049431093171781 + 7.7083515953671788469e-887j)  +/-  (1.11e-87, 1.25e-209j)
| (0.01098373316809109537 + 3.6570290731434797792e-887j)  +/-  (6.17e-89, 7.03e-211j)
| (0.00011268240163838016711 - 1.6783912789608195394e-888j)  +/-  (3.35e-90, 3.98e-212j)
| (0.16974545978387677358 + 9.2559689737985897208e-887j)  +/-  (3.21e-88, 3.91e-210j)
| (0.030875167245633445184 - 3.3506366819861184395e-887j)  +/-  (7.58e-89, 8.98e-211j)
| (0.0030700123957878347397 - 2.1331912910582067608e-887j)  +/-  (1.08e-89, 1.16e-211j)
