Starting with polynomial:
P : 68719476736*t^36 - 21646635171840*t^34 + 3035940582850560*t^32 - 250971088182312960*t^30 + 13646552919913267200*t^28 - 515839700372721500160*t^26 + 13970658551761207296000*t^24 - 275421554306149515264000*t^22 + 3976398690295033626624000*t^20 - 41973097286447577169920000*t^18 + 321094194241323965349888000*t^16 - 1751422877679948901908480000*t^14 + 6640811744536472919736320000*t^12 - 16857445197669508180869120000*t^10 + 27092322639111709576396800000*t^8 - 25286167796504262271303680000*t^6 + 11852891154611372939673600000*t^4 - 2091686674343183459942400000*t^2 + 58102407620643984998400000
Extension levels are: 36
-------------------------------------------------
Ending with final polynomial:
P : 68719476736*t^36 - 21646635171840*t^34 + 3035940582850560*t^32 - 250971088182312960*t^30 + 13646552919913267200*t^28 - 515839700372721500160*t^26 + 13970658551761207296000*t^24 - 275421554306149515264000*t^22 + 3976398690295033626624000*t^20 - 41973097286447577169920000*t^18 + 321094194241323965349888000*t^16 - 1751422877679948901908480000*t^14 + 6640811744536472919736320000*t^12 - 16857445197669508180869120000*t^10 + 27092322639111709576396800000*t^8 - 25286167796504262271303680000*t^6 + 11852891154611372939673600000*t^4 - 2091686674343183459942400000*t^2 + 58102407620643984998400000
-------------------------------------------------
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:   36 out of 36
Indefinite weights: 0 out of 36
Negative weights:   0 out of 36
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-6.3422433309944120625 + 1.4190760107605199805e-919j)  +/-  (2.18e-247, 2.18e-247j)
| (-5.818863279505576954 - 3.6689044661311512458e-946j)  +/-  (5.76e-247, 5.76e-247j)
| (-6.9255989902599420457 + 1.6379555305646489733e-969j)  +/-  (6.91e-248, 6.91e-248j)
| (4.0134565677494704201 - 2.2312683088537739848e-978j)  +/-  (4.76e-247, 4.76e-247j)
| (-4.8750399724670838479 + 3.5080415854119147063e-984j)  +/-  (9.77e-247, 9.77e-247j)
| (7.6263257540038942632 - 1.9729892100462511924e-997j)  +/-  (7.41e-249, 7.41e-249j)
| (3.2018339457881585591 + 4.925246321333026574e-995j)  +/-  (9.73e-248, 9.73e-248j)
| (-7.6263257540038942632 - 6.585077673751348862e-996j)  +/-  (6.72e-249, 6.72e-249j)
| (-1.2918109588209239265 + 9.0284749601145707836e-1003j)  +/-  (2.34e-251, 2.34e-251j)
| (4.8750399724670838479 - 3.0939834242127490435e-997j)  +/-  (1.31e-246, 1.31e-246j)
| (2.0418271835544202727 - 4.5897056149872283711e-1001j)  +/-  (1.35e-249, 1.35e-249j)
| (-5.3335601071130637917 - 1.4076696983841738562e-998j)  +/-  (1.01e-246, 1.01e-246j)
| (2.8090222351311036294 + 1.0233209101641767637e-1000j)  +/-  (2.8e-248, 2.8e-248j)
| (2.4227660420535616095 + 6.8602886562424768724e-1002j)  +/-  (7.77e-249, 7.77e-249j)
| (5.3335601071130637917 + 3.9106621805298129778e-998j)  +/-  (8.02e-247, 8.02e-247j)
| (1.6651500018434143319 - 7.7777360941018967357e-1006j)  +/-  (2.21e-250, 2.21e-250j)
| (6.9255989902599420457 - 2.081848313452716672e-1000j)  +/-  (7.18e-248, 7.18e-248j)
| (-2.8090222351311036294 - 9.4096178201698931313e-1002j)  +/-  (2.87e-248, 2.87e-248j)
| (5.818863279505576954 + 1.5928705701633068216e-1001j)  +/-  (6.59e-247, 6.59e-247j)
| (-3.2018339457881585591 - 7.4625721200395220925e-1003j)  +/-  (1.02e-247, 1.02e-247j)
| (4.4365069701928573044 - 9.4815462605923983924e-1010j)  +/-  (9.15e-247, 9.15e-247j)
| (1.2918109588209239265 + 5.7134814336580889307e-1015j)  +/-  (2.11e-251, 2.11e-251j)
| (-3.6026938571484756764 + 1.0256146642900086182e-1009j)  +/-  (2.61e-247, 2.61e-247j)
| (-2.4227660420535616095 + 7.1731094902407710385e-1017j)  +/-  (8.22e-249, 8.22e-249j)
| (-2.0418271835544202727 - 4.7965191304339510565e-1018j)  +/-  (1.47e-249, 1.47e-249j)
| (6.3422433309944120625 - 3.3890669999177028528e-1016j)  +/-  (3.05e-247, 3.05e-247j)
| (-4.4365069701928573044 - 9.1251738062891440477e-1017j)  +/-  (8.1e-247, 8.1e-247j)
| (-0.18385336710581280037 - 5.6705321075195450851e-1035j)  +/-  (1.58e-254, 1.58e-254j)
| (-0.5519014332904228235 + 1.1760080618557668212e-1033j)  +/-  (1.89e-253, 1.89e-253j)
| (-4.0134565677494704201 + 4.9598503697344140438e-1034j)  +/-  (5e-247, 5e-247j)
| (3.6026938571484756764 - 1.5930249049270254861e-1043j)  +/-  (2.57e-247, 2.57e-247j)
| (0.5519014332904228235 + 1.8949926191823894823e-1050j)  +/-  (1.89e-253, 1.89e-253j)
| (0.92098180157075310826 - 2.0796368952370648909e-1049j)  +/-  (2.38e-252, 2.38e-252j)
| (-0.92098180157075310826 - 2.602720178454285523e-1049j)  +/-  (2.17e-252, 2.17e-252j)
| (-1.6651500018434143319 - 4.4698661057273379237e-1051j)  +/-  (1.99e-250, 1.99e-250j)
| (0.18385336710581280037 - 8.0224350577229597254e-1057j)  +/-  (1.58e-254, 1.58e-254j)
-------------------------------------------------
The weights are:
| (1.0502941934747379908e-18 + 9.4527794118453959524e-937j)  +/-  (1.05e-94, 5.39e-217j)
| (5.5871139786500598132e-16 - 6.5680695162402615847e-936j)  +/-  (1.16e-93, 5.94e-216j)
| (5.2223662008629356096e-22 + 5.697198959179578357e-939j)  +/-  (1.91e-96, 9.81e-219j)
| (2.3738227773657047944e-08 + 2.1637437710657631321e-933j)  +/-  (1.93e-91, 9.93e-214j)
| (1.2047445865479876874e-11 - 3.4404743152599317944e-934j)  +/-  (2.64e-92, 1.35e-214j)
| (2.5090376346349476389e-26 - 1.6491600604057963564e-942j)  +/-  (2.99e-101, 1.53e-223j)
| (7.8969780867231739996e-06 + 4.2821084290795070154e-932j)  +/-  (5.04e-89, 2.59e-211j)
| (2.5090376346349476389e-26 - 1.7939974742437725867e-941j)  +/-  (5.15e-99, 2.65e-221j)
| (0.039552369766559721683 + 5.7268899184189477452e-930j)  +/-  (5.91e-79, 3.04e-201j)
| (1.2047445865479876874e-11 + 4.5000873506677667251e-935j)  +/-  (7.59e-95, 3.9e-217j)
| (0.0033041345384352951435 - 9.9709165092120494165e-931j)  +/-  (4.17e-85, 2.14e-207j)
| (1.1740292551051593513e-13 + 4.9402144583479227554e-935j)  +/-  (3.13e-94, 1.61e-216j)
| (8.2200255624103816415e-05 - 1.4408426855475985074e-931j)  +/-  (2.09e-88, 1.07e-210j)
| (0.00061075483355109883997 + 4.1005509475529694272e-931j)  +/-  (4.12e-87, 2.12e-209j)
| (1.1740292551051593513e-13 - 4.2678959721501966877e-936j)  +/-  (5.63e-97, 2.89e-219j)
| (0.013216574015602125164 + 2.0879948579824538101e-930j)  +/-  (7.62e-86, 3.91e-208j)
| (5.2223662008629356096e-22 + 2.5049236901730740823e-940j)  +/-  (1.56e-101, 8e-224j)
| (8.2200255624103816415e-05 + 3.731873465233512257e-931j)  +/-  (1.98e-93, 1.02e-215j)
| (5.5871139786500598132e-16 + 2.8267136138943393695e-937j)  +/-  (8.16e-99, 4.19e-221j)
| (7.8969780867231739996e-06 - 1.3013836332046461332e-931j)  +/-  (1.04e-94, 5.35e-217j)
| (6.8710833872122296337e-10 - 3.5367579549265995978e-934j)  +/-  (1.34e-95, 6.86e-218j)
| (0.039552369766559721683 - 3.7887168649617606872e-930j)  +/-  (3.49e-89, 1.79e-211j)
| (5.2783151928010161428e-07 + 3.856822508880220852e-932j)  +/-  (6.24e-96, 3.2e-218j)
| (0.00061075483355109883997 - 9.1699389587928607756e-931j)  +/-  (9.39e-94, 4.82e-216j)
| (0.0033041345384352951435 + 1.9439250584545766664e-930j)  +/-  (2.36e-93, 1.21e-215j)
| (1.0502941934747379908e-18 - 1.1750158551291179767e-938j)  +/-  (1.91e-101, 9.81e-224j)
| (6.8710833872122296337e-10 + 2.0003727512370847195e-933j)  +/-  (3.86e-98, 1.98e-220j)
| (0.20059200643902209903 - 1.0576714120967576347e-929j)  +/-  (9.41e-93, 4.76e-215j)
| (0.15329101339971137067 + 9.8336620831769011942e-930j)  +/-  (6.89e-93, 3.48e-215j)
| (2.3738227773657047944e-08 - 9.6217831123839372097e-933j)  +/-  (2.27e-97, 1.17e-219j)
| (5.2783151928010161428e-07 - 1.0624457324393674071e-932j)  +/-  (2.26e-96, 1.14e-218j)
| (0.15329101339971137067 - 8.2592210513277507161e-930j)  +/-  (5.61e-94, 2.84e-216j)
| (0.089342497504386661449 + 5.9849521035172407377e-930j)  +/-  (2.99e-94, 1.52e-216j)
| (0.089342497504386661449 - 8.0184389370506038806e-930j)  +/-  (1.73e-94, 9.54e-217j)
| (0.013216574015602125164 - 3.5747407477633823106e-930j)  +/-  (3.53e-95, 2.1e-217j)
| (0.20059200643902209903 + 9.9807791865000692582e-930j)  +/-  (3.58e-94, 1.63e-216j)
