Starting with polynomial:
P : 2*t
Extension levels are: 1 40
-------------------------------------------------
Trying to find an order 40 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^41 - 820*t^39 + 151905*t^37 - 16861455*t^35 + 10032565725/8*t^33 - 66214933785*t^31 + 10263314736675/4*t^29 - 297636127363575/4*t^27 + 104470280704614825/64*t^25 - 870585672538456875/32*t^23 + 44051635030445917875/128*t^21 - 420492879836074670625/128*t^19 + 23968094150656256225625/1024*t^17 - 31342892350858181218125/256*t^15 + 470143385262872718271875/1024*t^13 - 1222372801683469067506875/1024*t^11 + 67230504092590798712878125/32768*t^9 - 35592619813724540495053125/16384*t^7 + 83049446232023927821790625/65536*t^5 - 21855117429479981005734375/65536*t^3 + 13113070457687988603440625/524288*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
-------------------------------------------------
The nodes are:
| (-6.4509845971747532594 - 3.0833674489371725463e-964j)  +/-  (7.63e-246, 7.63e-246j)
| (1.3846357891600325696 - 1.2038268577078048869e-971j)  +/-  (8.27e-251, 8.27e-251j)
| (6.9603584006367493674 + 1.1521908697407558848e-965j)  +/-  (2.24e-246, 2.24e-246j)
| (-2.8034549614843186771 - 1.3826293821455155629e-969j)  +/-  (1.45e-247, 1.45e-247j)
| (-7.5289454645396209371 + 1.1629750779505344015e-968j)  +/-  (4.45e-247, 4.45e-247j)
| (-4.7003568963041161297 - 3.6903019629086660434e-966j)  +/-  (1.57e-245, 1.57e-245j)
| (-3.9172898548377822396 - 1.092387934426449196e-968j)  +/-  (3.76e-246, 3.76e-246j)
| (-5.1095696265331340957 - 2.618742817839336522e-968j)  +/-  (1.49e-245, 1.49e-245j)
| (-8.2130008955982805135 + 2.5180466438934221266e-972j)  +/-  (4.01e-248, 4.01e-248j)
| (-5.9793650041651337324 - 1.4094004557261895912e-969j)  +/-  (1.22e-245, 1.22e-245j)
| (4.3036987671546504082 + 1.5015607292013079292e-971j)  +/-  (8.06e-246, 8.06e-246j)
| (3.5393499373637116039 - 4.2064474922338365365e-981j)  +/-  (1.37e-246, 1.37e-246j)
| (7.5289454645396209371 + 1.0782698773558483017e-988j)  +/-  (5.02e-247, 5.02e-247j)
| (3.1684594539419855788 - 4.2374552772838211518e-987j)  +/-  (4.88e-247, 4.88e-247j)
| (5.1095696265331340957 - 3.162664869873191229e-989j)  +/-  (1.78e-245, 1.78e-245j)
| (2.8034549614843186771 - 1.2659873796002274981e-999j)  +/-  (1.6e-247, 1.6e-247j)
| (-5.5344413406134459666 + 5.2207910957459143086e-1000j)  +/-  (1.77e-245, 1.77e-245j)
| (6.4509845971747532594 - 6.9830204281770016735e-999j)  +/-  (6.51e-246, 6.51e-246j)
| (5.5344413406134459666 + 1.1904298966799328782e-1007j)  +/-  (1.74e-245, 1.74e-245j)
| (-3.5393499373637116039 + 1.084094819087498673e-1017j)  +/-  (1.51e-246, 1.51e-246j)
| (2.443359553123411276 - 1.2635941767924988896e-1020j)  +/-  (3.23e-248, 3.23e-248j)
| (0.69030505233020809049 + 1.4714148207357983994e-1033j)  +/-  (8.49e-253, 8.49e-253j)
| (4.7003568963041161297 + 4.8741943286773059091e-1028j)  +/-  (1.34e-245, 1.34e-245j)
| (5.9793650041651337324 - 5.4509706840765823996e-1046j)  +/-  (1.1e-245, 1.1e-245j)
| (-1.1437516802808800501e-1064 + 1.4516972079520557815e-1065j)  +/-  (4.73e-1063, 4.73e-1063j)
| (-4.3036987671546504082 - 1.1375347314118519701e-1055j)  +/-  (7.56e-246, 7.56e-246j)
| (1.7346456088220292845 + 4.517194744703542541e-1068j)  +/-  (9.47e-250, 9.47e-250j)
| (3.9172898548377822396 - 2.8596145861241365363e-1082j)  +/-  (3.58e-246, 3.58e-246j)
| (-6.9603584006367493674 + 8.8565269882292297548e-1091j)  +/-  (2.4e-246, 2.4e-246j)
| (-0.34490446301543276188 + 1.9811213299114685257e-1098j)  +/-  (6.84e-254, 6.84e-254j)
| (-2.443359553123411276 + 9.1827300293958957601e-1092j)  +/-  (3.33e-248, 3.33e-248j)
| (-0.69030505233020809049 + 2.0580724275969240405e-1098j)  +/-  (7.11e-253, 7.11e-253j)
| (8.2130008955982805135 - 2.7169895830036693528e-1094j)  +/-  (4.29e-248, 4.29e-248j)
| (-3.1684594539419855788 - 1.6298745353453592678e-1095j)  +/-  (5.71e-247, 5.71e-247j)
| (-1.0367072529242060057 + 1.0139803765976099012e-1101j)  +/-  (1.23e-251, 1.23e-251j)
| (-1.7346456088220292845 - 1.2806434352312060705e-1097j)  +/-  (7.73e-250, 7.73e-250j)
| (2.0873346819187244606 + 1.83885838504478085e-1098j)  +/-  (4.66e-249, 4.66e-249j)
| (1.0367072529242060057 + 8.9862439080302000733e-1103j)  +/-  (1.01e-251, 1.01e-251j)
| (0.34490446301543276188 - 2.2365136927944189227e-1105j)  +/-  (3.4e-254, 3.4e-254j)
| (-2.0873346819187244606 - 2.6456051696975626678e-1099j)  +/-  (4.91e-249, 4.91e-249j)
| (-1.3846357891600325696 - 2.326186525028735558e-1101j)  +/-  (1.13e-250, 1.13e-250j)
-------------------------------------------------
The weights are:
| (2.3263841455871582916e-19 + 5.9493250550385869425e-981j)  +/-  (1.43e-82, 2.87e-204j)
| (0.028937211747934410842 + 8.451829567611414805e-973j)  +/-  (7.08e-57, 1.42e-178j)
| (2.7468912285222892516e-22 + 1.6625842778831456047e-983j)  +/-  (1.15e-84, 2.31e-206j)
| (7.8947193195046351929e-05 - 1.5128230528057381673e-973j)  +/-  (2.22e-69, 4.46e-191j)
| (8.3085589387825795953e-26 + 2.2658365161679495552e-984j)  +/-  (1.27e-85, 2.54e-207j)
| (5.769853428092129242e-11 - 1.0298210704406893709e-975j)  +/-  (3.67e-78, 7.37e-200j)
| (4.6673477081073025676e-08 - 1.2204808648111275116e-974j)  +/-  (8.54e-76, 1.71e-197j)
| (1.0778183949358886362e-12 - 6.7342412102352456226e-977j)  +/-  (1.22e-79, 2.44e-201j)
| (2.2578639565830996743e-30 - 9.1973419571080450149e-987j)  +/-  (1.16e-88, 2.32e-210j)
| (7.6559822919668644893e-17 - 1.624695132650922538e-979j)  +/-  (2.31e-82, 4.64e-204j)
| (1.9947947567573446943e-09 + 4.3688314785160845745e-977j)  +/-  (5.81e-83, 1.17e-204j)
| (7.6581860779823375197e-07 + 7.3689855402406753552e-976j)  +/-  (2.41e-80, 4.83e-202j)
| (8.3085589387825795953e-26 - 2.8394959853712311219e-985j)  +/-  (5.84e-92, 1.17e-213j)
| (9.0586086224329800688e-06 - 2.1122796736638669762e-975j)  +/-  (2.08e-79, 4.17e-201j)
| (1.0778183949358886362e-12 + 1.0667949211529353394e-978j)  +/-  (2.65e-86, 5.32e-208j)
| (7.8947193195046351929e-05 + 4.1275270523889859631e-975j)  +/-  (7.63e-79, 1.53e-200j)
| (1.2203348742027845996e-14 + 3.3191706776677956409e-978j)  +/-  (1.39e-85, 2.78e-207j)
| (2.3263841455871582916e-19 - 4.9138501220160358257e-982j)  +/-  (4.21e-90, 8.45e-212j)
| (1.2203348742027845996e-14 - 1.1399483525135578204e-979j)  +/-  (4.91e-88, 9.85e-210j)
| (7.6581860779823375197e-07 + 4.1595629103346302046e-974j)  +/-  (1.39e-83, 2.79e-205j)
| (0.00051580144434318631277 - 7.2710885042655522959e-976j)  +/-  (2.11e-80, 4.23e-202j)
| (0.12114891701151043663 + 1.7964274732516621435e-972j)  +/-  (5.54e-77, 1.11e-198j)
| (5.769853428092129242e-11 - 7.695360671707644162e-978j)  +/-  (4.11e-86, 8.25e-208j)
| (7.6559822919668644893e-17 + 8.9989545754408340679e-981j)  +/-  (1.96e-89, 3.94e-211j)
| (0.19454502775360049319 + 1.6233904460525716328e-972j)  +/-  (3.77e-79, 7.58e-201j)
| (1.9947947567573446943e-09 + 3.2669017227595831161e-975j)  +/-  (1.45e-86, 2.91e-208j)
| (0.0097779027382082639586 + 3.7281974797094993155e-973j)  +/-  (1.11e-80, 2.24e-202j)
| (4.6673477081073025676e-08 - 2.0028284914537521202e-976j)  +/-  (1.34e-84, 2.68e-206j)
| (2.7468912285222892516e-22 - 1.6997052978506583402e-982j)  +/-  (4.36e-93, 8.75e-215j)
| (0.17284953105060153903 - 1.3729030798987637719e-972j)  +/-  (1.8e-81, 3.62e-203j)
| (0.00051580144434318631277 + 4.4362378514705379861e-973j)  +/-  (6.28e-85, 1.26e-206j)
| (0.12114891701151043663 + 1.014420008408697096e-972j)  +/-  (4.56e-82, 9.13e-204j)
| (2.2578639565830996743e-30 + 1.4404981794236167594e-987j)  +/-  (1.34e-97, 2.69e-219j)
| (9.0586086224329800688e-06 - 1.6730621674380607807e-973j)  +/-  (1.47e-85, 2.96e-207j)
| (0.066847659354466382969 - 6.1623478376518207735e-973j)  +/-  (4.79e-83, 9.59e-205j)
| (0.0097779027382082639586 + 2.7800898905341400998e-974j)  +/-  (1.04e-84, 2.09e-206j)
| (0.0025616424286497854431 - 4.5046347194344547905e-974j)  +/-  (4.24e-84, 8.53e-206j)
| (0.066847659354466382969 - 2.0850115558796096109e-972j)  +/-  (1.62e-83, 3.26e-205j)
| (0.17284953105060153903 - 1.7436337962883900278e-972j)  +/-  (3.62e-83, 7.29e-205j)
| (0.0025616424286497854431 - 2.2891663771075198256e-973j)  +/-  (1.8e-85, 3.64e-207j)
| (0.028937211747934410842 + 2.5324397657448778612e-973j)  +/-  (7.46e-85, 1.47e-206j)
