Starting with polynomial:
P : 17592186044416*t^44 - 8321103999008768*t^42 + 1791117635786637312*t^40 - 232845292652262850560*t^38 + 20461280091817597992960*t^36 - 1289060645784508673556480*t^34 + 60263585190425780488765440*t^32 - 2135052732460799080173404160*t^30 + 58046746163777974992214425600*t^28 - 1218981669439337474836502937600*t^26 + 19808452128389233966093172736000*t^24 - 248506035792519480665532530688000*t^22 + 2391870594503000001405750607872000*t^20 - 17479054344445000010272792903680000*t^18 + 95510546953574464341847761223680000*t^16 - 382042187814297857367391044894720000*t^14 + 1086432471596909531888518283919360000*t^12 - 2108957150746942032489476668784640000*t^10 + 2636196438433677540611845835980800000*t^8 - 1942460533582709766766623247564800000*t^6 + 728422700093516162537483717836800000*t^4 - 104060385727645166076783388262400000*t^2 + 2365008766537390138108713369600000
Extension levels are: 44
-------------------------------------------------
Ending with final polynomial:
P : 17592186044416*t^44 - 8321103999008768*t^42 + 1791117635786637312*t^40 - 232845292652262850560*t^38 + 20461280091817597992960*t^36 - 1289060645784508673556480*t^34 + 60263585190425780488765440*t^32 - 2135052732460799080173404160*t^30 + 58046746163777974992214425600*t^28 - 1218981669439337474836502937600*t^26 + 19808452128389233966093172736000*t^24 - 248506035792519480665532530688000*t^22 + 2391870594503000001405750607872000*t^20 - 17479054344445000010272792903680000*t^18 + 95510546953574464341847761223680000*t^16 - 382042187814297857367391044894720000*t^14 + 1086432471596909531888518283919360000*t^12 - 2108957150746942032489476668784640000*t^10 + 2636196438433677540611845835980800000*t^8 - 1942460533582709766766623247564800000*t^6 + 728422700093516162537483717836800000*t^4 - 104060385727645166076783388262400000*t^2 + 2365008766537390138108713369600000
-------------------------------------------------
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:   44 out of 44
Indefinite weights: 0 out of 44
Negative weights:   0 out of 44
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-6.8092552715358328151 + 1.5791537677117942759e-963j)  +/-  (2.32e-245, 2.32e-245j)
| (7.3112956789163310325 - 1.8662268048034424976e-967j)  +/-  (7.68e-246, 7.68e-246j)
| (8.5473375667355391719 - 1.4667987375574190227e-969j)  +/-  (1.28e-247, 1.28e-247j)
| (5.4890481838807427547 - 1.0361204720899522338e-965j)  +/-  (9.95e-245, 9.95e-245j)
| (-7.8721084427748514292 - 8.0597738784425927528e-967j)  +/-  (1.66e-246, 1.66e-246j)
| (-8.5473375667355391719 + 7.9724108200533781908e-971j)  +/-  (1.44e-247, 1.44e-247j)
| (5.9068817590275462841 - 3.0552979525804271111e-968j)  +/-  (7.61e-245, 7.61e-245j)
| (-5.9068817590275462841 - 1.4273438240269306015e-971j)  +/-  (7.27e-245, 7.27e-245j)
| (-7.3112956789163310325 + 1.6759744380732568886e-975j)  +/-  (9.97e-246, 9.97e-246j)
| (3.9478937115246548132 - 8.1263839951519904436e-980j)  +/-  (1.86e-245, 1.86e-245j)
| (0.83357976100207343309 - 1.4031866496077540025e-987j)  +/-  (3.36e-252, 3.36e-252j)
| (3.5846779931052283912 + 2.8580805651406051891e-981j)  +/-  (7.32e-246, 7.32e-246j)
| (-6.3447621648968922702 + 2.946782675067508121e-979j)  +/-  (5.11e-245, 5.11e-245j)
| (-1.8432799206176101564 + 6.8570371099772744927e-991j)  +/-  (3.31e-249, 3.31e-249j)
| (-4.3183547234421126073 - 1.3914792613028374859e-985j)  +/-  (3.11e-245, 3.11e-245j)
| (1.1684854631902054981 - 3.9848405911685116403e-1001j)  +/-  (4.3e-251, 4.3e-251j)
| (4.3183547234421126073 - 6.5071996830474239238e-993j)  +/-  (3.42e-245, 3.42e-245j)
| (-3.2275749742774262785 - 3.3217222028098434852e-995j)  +/-  (2.13e-246, 2.13e-246j)
| (6.3447621648968922702 - 1.2927024358968330457e-998j)  +/-  (5.06e-245, 5.06e-245j)
| (-1.1684854631902054981 - 1.6306496357445677059e-1005j)  +/-  (3.38e-251, 3.38e-251j)
| (5.0869242297582532816 + 4.4638157586290823379e-997j)  +/-  (8.04e-245, 8.04e-245j)
| (-3.9478937115246548132 + 2.4433540874144345159e-1007j)  +/-  (1.86e-245, 1.86e-245j)
| (-5.4890481838807427547 - 2.3484434545819604165e-1029j)  +/-  (8.14e-245, 8.14e-245j)
| (-4.6974492230014397194 + 3.910302832254009608e-1051j)  +/-  (6.57e-245, 6.57e-245j)
| (1.5048944344828715446 - 8.6069492419752019508e-1074j)  +/-  (3.39e-250, 3.39e-250j)
| (-5.0869242297582532816 - 3.5066357690054535598e-1067j)  +/-  (7.96e-245, 7.96e-245j)
| (2.875639082170442084 - 1.4344148455062831381e-1077j)  +/-  (4.57e-247, 4.57e-247j)
| (2.1841510195665262686 - 1.5305419871629454161e-1078j)  +/-  (2.18e-248, 2.18e-248j)
| (-2.5280644271476650969 + 8.936886779375651853e-1079j)  +/-  (1.05e-247, 1.05e-247j)
| (-0.83357976100207343309 + 2.5791253912461825417e-1083j)  +/-  (2.59e-252, 2.59e-252j)
| (4.6974492230014397194 - 6.3056728142771967856e-1077j)  +/-  (6.17e-245, 6.17e-245j)
| (6.8092552715358328151 - 3.8023463401598172396e-1079j)  +/-  (2.67e-245, 2.67e-245j)
| (0.49973020830067431851 - 4.5055989408353203719e-1087j)  +/-  (2.34e-253, 2.34e-253j)
| (-3.5846779931052283912 - 4.045213426211921996e-1082j)  +/-  (7.33e-246, 7.33e-246j)
| (-2.1841510195665262686 + 3.0098483922307350988e-1087j)  +/-  (2.28e-248, 2.28e-248j)
| (0.16650746707363238828 - 1.1626368887749613156e-1093j)  +/-  (1.64e-254, 1.64e-254j)
| (-2.875639082170442084 + 2.8809658267824267433e-1086j)  +/-  (4.87e-247, 4.87e-247j)
| (1.8432799206176101564 - 1.2697641279471619751e-1090j)  +/-  (3.07e-249, 3.07e-249j)
| (7.8721084427748514292 - 2.025175679811781575e-1089j)  +/-  (1.5e-246, 1.5e-246j)
| (-1.5048944344828715446 + 2.5172762253501771869e-1093j)  +/-  (3.42e-250, 3.42e-250j)
| (-0.49973020830067431851 + 9.0289817146047706316e-1096j)  +/-  (2.34e-253, 2.34e-253j)
| (-0.16650746707363238828 + 6.769494684479361602e-1097j)  +/-  (1.64e-254, 1.64e-254j)
| (2.5280644271476650969 - 8.2152821608509416222e-1090j)  +/-  (1.13e-247, 1.13e-247j)
| (3.2275749742774262785 + 1.1543728170396781811e-1093j)  +/-  (2.15e-246, 2.15e-246j)
-------------------------------------------------
The weights are:
| (1.9815155999927581913e-21 + 2.6472968570367673353e-983j)  +/-  (2.69e-88, 1.23e-209j)
| (1.809481070701213978e-24 - 1.0467907978972615345e-984j)  +/-  (5.82e-90, 2.65e-211j)
| (8.2152508931746107772e-33 - 4.1882102846211227652e-989j)  +/-  (5.54e-93, 2.52e-214j)
| (1.8985180410046434985e-14 + 1.080403518461734965e-978j)  +/-  (2.79e-85, 1.27e-206j)
| (4.1536348608094469517e-28 + 8.2913995425532836572e-988j)  +/-  (1.91e-92, 8.69e-214j)
| (8.2152508931746107772e-33 - 5.5505283188068284363e-990j)  +/-  (2.56e-94, 1.17e-215j)
| (1.6934271103574151887e-16 + 4.4421497539845631817e-980j)  +/-  (5.74e-88, 2.61e-209j)
| (1.6934271103574151887e-16 + 2.6435110716883532359e-981j)  +/-  (1.02e-88, 4.63e-210j)
| (1.809481070701213978e-24 + 3.8360282187779715213e-986j)  +/-  (2.5e-91, 1.14e-212j)
| (3.5220801394023272e-08 + 1.7503684910913481876e-976j)  +/-  (6.12e-84, 2.79e-205j)
| (0.094144716794965634412 - 9.6889913442175711875e-974j)  +/-  (4.17e-71, 1.9e-192j)
| (5.3341521628083075531e-07 - 5.523330923226731533e-976j)  +/-  (9.61e-83, 4.38e-204j)
| (8.3466769815268154197e-19 - 2.4844937878748100563e-982j)  +/-  (7.11e-90, 3.24e-211j)
| (0.0064079902183447021216 - 1.6715092073228148991e-974j)  +/-  (5.37e-76, 2.44e-197j)
| (1.6830458054045261776e-09 + 7.128037439595580976e-978j)  +/-  (1.16e-86, 5.26e-208j)
| (0.048334227295384228157 + 7.4563565655602123492e-974j)  +/-  (4.16e-71, 1.9e-192j)
| (1.6830458054045261776e-09 - 5.0277961232387934092e-977j)  +/-  (3.32e-86, 1.51e-207j)
| (5.9805064978714269961e-06 - 4.4842249345286991997e-976j)  +/-  (3.29e-84, 1.5e-205j)
| (8.3466769815268154197e-19 - 1.5185014359281305381e-981j)  +/-  (3.82e-92, 1.74e-213j)
| (0.048334227295384228157 - 4.9871966657006251159e-974j)  +/-  (3.6e-74, 1.64e-195j)
| (1.289064815963905405e-12 - 4.036993790568498631e-978j)  +/-  (1.13e-88, 5.15e-210j)
| (3.5220801394023272e-08 - 3.2994279606599249562e-977j)  +/-  (9.8e-87, 4.46e-208j)
| (1.8985180410046434985e-14 - 2.524997276416560382e-980j)  +/-  (1.93e-90, 8.81e-212j)
| (5.6565652041022443301e-11 - 1.3041350271125590572e-978j)  +/-  (3.19e-89, 1.45e-210j)
| (0.019765680833827600822 - 5.1553567421501908207e-974j)  +/-  (4.15e-82, 1.89e-203j)
| (1.289064815963905405e-12 + 1.9955947607351932555e-979j)  +/-  (5.21e-90, 2.37e-211j)
| (5.0550243435022374764e-05 - 3.9346064928804911646e-975j)  +/-  (7.56e-88, 3.44e-209j)
| (0.0016368797268343002832 - 1.778896007600488025e-974j)  +/-  (5.28e-86, 2.4e-207j)
| (0.00032690297263291108826 - 3.515671347744265277e-975j)  +/-  (4.14e-87, 1.89e-208j)
| (0.094144716794965634412 + 7.2872901256947551511e-974j)  +/-  (5.41e-83, 2.46e-204j)
| (5.6565652041022443301e-11 + 1.3607506099228207813e-977j)  +/-  (2.09e-91, 9.52e-213j)
| (1.9815155999927581913e-21 + 4.7887073280929347952e-983j)  +/-  (2.87e-97, 1.31e-218j)
| (0.14656144417140921121 + 1.1319720782155974183e-973j)  +/-  (1.46e-84, 6.64e-206j)
| (5.3341521628083075531e-07 + 1.3080263477827772423e-976j)  +/-  (3.23e-89, 1.47e-210j)
| (0.0016368797268343002832 + 8.1403972798424002783e-975j)  +/-  (1.9e-87, 8.67e-209j)
| (0.18276505685973116563 - 1.1894719876118769673e-973j)  +/-  (2.21e-85, 1.01e-206j)
| (5.0550243435022374764e-05 + 1.3402045300391203235e-975j)  +/-  (1.56e-88, 7.1e-210j)
| (0.0064079902183447021216 + 3.1989040228086991882e-974j)  +/-  (7.68e-88, 3.49e-209j)
| (4.1536348608094469517e-28 + 1.2107772238088961462e-986j)  +/-  (2.22e-101, 1.01e-222j)
| (0.019765680833827600822 + 3.0553585749176608492e-974j)  +/-  (3.57e-87, 1.63e-208j)
| (0.14656144417140921121 - 9.5503254959268887988e-974j)  +/-  (6.15e-87, 2.81e-208j)
| (0.18276505685973116563 + 1.1241277242165868771e-973j)  +/-  (6.49e-87, 2.96e-208j)
| (0.00032690297263291108826 + 8.8514707286974380142e-975j)  +/-  (6.36e-90, 2.87e-211j)
| (5.9805064978714269961e-06 + 1.5605794029494843734e-975j)  +/-  (6.48e-91, 2.96e-212j)
