Starting with polynomial:
P : 956086325095055/33554432*t^28 - 3285460280781189/16777216*t^26 + 20146690401016725/33554432*t^24 - 9085762337713425/8388608*t^22 + 42832879592077575/33554432*t^20 - 17315419409563275/16777216*t^18 + 19624141997505045/33554432*t^16 - 977947275623175/4194304*t^14 + 2170565904431925/33554432*t^12 - 204070298707275/16777216*t^10 + 49638721307175/33554432*t^8 - 902522205585/8388608*t^6 + 136745788725/33554432*t^4 - 1017958725/16777216*t^2 + 5014575/33554432
Extension levels are: 28
-------------------------------------------------
Ending with final polynomial:
P : 956086325095055/33554432*t^28 - 3285460280781189/16777216*t^26 + 20146690401016725/33554432*t^24 - 9085762337713425/8388608*t^22 + 42832879592077575/33554432*t^20 - 17315419409563275/16777216*t^18 + 19624141997505045/33554432*t^16 - 977947275623175/4194304*t^14 + 2170565904431925/33554432*t^12 - 204070298707275/16777216*t^10 + 49638721307175/33554432*t^8 - 902522205585/8388608*t^6 + 136745788725/33554432*t^4 - 1017958725/16777216*t^2 + 5014575/33554432
-------------------------------------------------
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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (0.95425928062893819725 + 7.7657600940073420771e-440j)  +/-  (8.93e-119, 8.93e-119j)
| (-0.055079289884034270427 + 1.9637155528614256006e-455j)  +/-  (1.22e-127, 1.22e-127j)
| (-0.95425928062893819725 - 4.4088802304748511588e-451j)  +/-  (9.2e-119, 9.2e-119j)
| (-0.86589252257439504894 + 1.0134908739281178468e-453j)  +/-  (3.29e-119, 3.29e-119j)
| (0.91563302639213207387 + 1.5668151503264548935e-451j)  +/-  (7.25e-119, 7.25e-119j)
| (0.86589252257439504894 - 9.6189117479461224059e-460j)  +/-  (3e-119, 3e-119j)
| (-0.98130316537087275369 + 4.2871268548568974474e-462j)  +/-  (8.4e-119, 8.4e-119j)
| (-0.80564137091717917145 - 1.6875965381579866538e-464j)  +/-  (1.3e-119, 1.3e-119j)
| (-0.99644249757395444995 - 1.0930844437685334385e-463j)  +/-  (2.91e-119, 2.91e-119j)
| (0.99644249757395444995 + 7.0698525346566522877e-462j)  +/-  (3.26e-119, 3.26e-119j)
| (0.80564137091717917145 - 7.8043715005631010937e-473j)  +/-  (1.07e-119, 1.07e-119j)
| (0.47587422495511826103 - 7.4112661623809207946e-479j)  +/-  (9.22e-123, 9.22e-123j)
| (-0.91563302639213207387 - 3.3335600943014441818e-480j)  +/-  (7.4e-119, 7.4e-119j)
| (-0.65665109403886496122 - 1.5604178025880293839e-483j)  +/-  (4.86e-121, 4.86e-121j)
| (0.055079289884034270427 - 2.5001508044980770172e-484j)  +/-  (1.6e-127, 1.6e-127j)
| (0.56972047181140171931 + 2.9737951477694237748e-481j)  +/-  (8.26e-122, 8.26e-122j)
| (-0.16456928213338077128 + 5.2984070439598292786e-486j)  +/-  (2.09e-126, 2.09e-126j)
| (-0.37625151608907871022 + 1.7277808190639231709e-486j)  +/-  (6.32e-124, 6.32e-124j)
| (-0.73561087801363177203 - 7.8276978188037695255e-483j)  +/-  (2.58e-120, 2.58e-120j)
| (-0.27206162763517807768 + 9.7203543919732905523e-487j)  +/-  (4.49e-125, 4.49e-125j)
| (0.27206162763517807768 + 1.3692392004618970853e-485j)  +/-  (4.23e-125, 4.23e-125j)
| (0.73561087801363177203 - 3.5378562975556677329e-485j)  +/-  (2.81e-120, 2.81e-120j)
| (0.16456928213338077128 - 1.1717170363108405575e-491j)  +/-  (1.95e-126, 1.95e-126j)
| (-0.56972047181140171931 - 5.9254627450793671671e-492j)  +/-  (6.99e-122, 6.99e-122j)
| (-0.47587422495511826103 - 3.6145044167963535805e-495j)  +/-  (8.72e-123, 8.72e-123j)
| (0.98130316537087275369 - 5.6756716389307865056e-497j)  +/-  (8.95e-119, 8.95e-119j)
| (0.65665109403886496122 + 7.0852185607366904549e-505j)  +/-  (4.84e-121, 4.84e-121j)
| (0.37625151608907871022 + 6.6869772318204609321e-511j)  +/-  (6.26e-124, 6.26e-124j)
-------------------------------------------------
The weights are:
| (0.032901427782304379978 - 2.7275953004983556887e-440j)  +/-  (8.32e-33, 6.89e-90j)
| (0.11004701301647519628 - 1.5461130594139248696e-440j)  +/-  (4.62e-33, 3.83e-90j)
| (0.032901427782304379978 + 1.3387587632850722097e-441j)  +/-  (1.17e-33, 9.69e-91j)
| (0.055107345675716745431 + 3.0395948542717024969e-441j)  +/-  (1.11e-33, 9.18e-91j)
| (0.04427293475900422784 + 1.031757678591994255e-439j)  +/-  (7.67e-34, 6.35e-91j)
| (0.055107345675716745431 - 6.2608657117794988839e-440j)  +/-  (4.58e-34, 3.8e-91j)
| (0.021132112592771259752 - 6.8103986836264343778e-442j)  +/-  (8e-35, 6.63e-92j)
| (0.065272923966999595793 - 4.0517701369982309197e-441j)  +/-  (3.62e-35, 3e-92j)
| (0.0091242825930945177388 + 1.9442774759239869038e-442j)  +/-  (2.79e-35, 2.31e-92j)
| (0.0091242825930945177388 + 8.9910296162498599816e-441j)  +/-  (2.09e-36, 1.73e-93j)
| (0.065272923966999595793 + 4.7980172230372084716e-440j)  +/-  (5.85e-36, 4.85e-93j)
| (0.09693065799792991585 + 2.6967715918415260934e-440j)  +/-  (5.35e-37, 4.44e-94j)
| (0.04427293475900422784 - 2.1312957031489066095e-441j)  +/-  (3.8e-35, 3.15e-92j)
| (0.08311341722890121839 - 6.3591095414518022702e-441j)  +/-  (5.91e-37, 4.9e-94j)
| (0.11004701301647519628 + 1.7355274375595488249e-440j)  +/-  (1.81e-37, 1.5e-94j)
| (0.090571744393032840942 - 3.0303406242628474644e-440j)  +/-  (1.19e-37, 9.83e-95j)
| (0.10871119225829413525 + 1.3694942873534141602e-440j)  +/-  (9.29e-38, 7.7e-95j)
| (0.10211296757806076981 + 1.0483938338910527817e-440j)  +/-  (1.2e-38, 9.98e-96j)
| (0.074646214234568779024 + 5.159971288473100863e-441j)  +/-  (4.64e-38, 3.85e-95j)
| (0.10605576592284641791 - 1.2039630200344156984e-440j)  +/-  (1.73e-38, 1.44e-95j)
| (0.10605576592284641791 + 2.1642481732032997944e-440j)  +/-  (4.54e-40, 3.76e-97j)
| (0.074646214234568779024 - 3.9879923182228144051e-440j)  +/-  (1.05e-40, 8.72e-98j)
| (0.10871119225829413525 - 1.9402921756081652238e-440j)  +/-  (7.54e-40, 6.25e-97j)
| (0.090571744393032840942 + 7.6463192642497087637e-441j)  +/-  (9.67e-40, 8.03e-97j)
| (0.09693065799792991585 - 9.0208027645401639359e-441j)  +/-  (8.93e-40, 7.42e-97j)
| (0.021132112592771259752 - 4.8742819512666968613e-440j)  +/-  (9.5e-42, 7.92e-99j)
| (0.08311341722890121839 + 3.442094672074612201e-440j)  +/-  (2.98e-41, 2.52e-98j)
| (0.10211296757806076981 - 2.4132881957558953654e-440j)  +/-  (4.31e-41, 3.45e-98j)
