Starting with polynomial:
P : 4*t^3 - 3*t
Extension levels are: 3 48
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P1 : 4*t^3 - 3*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^51 - 51*t^49 + 306*t^47 - 18377/16*t^45 + 193545/64*t^43 - 1519749/256*t^41 + 2307767/256*t^39 - 22208511/2048*t^37 + 171986841/16384*t^35 - 541440055/65536*t^33 + 87158643/16384*t^31 - 736886709/262144*t^29 + 1278529931/1048576*t^27 - 1816858323/4194304*t^25 + 526117275/4194304*t^23 - 985982745/33554432*t^21 + 2957948235/536870912*t^19 - 1750204665/2147483648*t^17 + 100180065/1073741824*t^15 - 553626675/68719476736*t^13 + 139299615/274877906944*t^11 - 24322155/1099511627776*t^9 + 686205/1099511627776*t^7 - 89505/8796093022208*t^5 + 5525/70368744177664*t^3 - 51/281474976710656*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 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:   51 out of 51
Indefinite weights: 0 out of 51
Negative weights:   0 out of 51
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.99573417629503452187 + 3.6787812428714532922e-898j)  +/-  (1.09e-237, 1.09e-237j)
| (-0.98816547208125941376 + 1.3629879284059755088e-896j)  +/-  (1.54e-237, 1.54e-237j)
| (-0.9209055179449536256 - 6.8274458861736473332e-910j)  +/-  (3.54e-238, 3.54e-238j)
| (-0.99952571971336587467 + 2.9482907156871280298e-913j)  +/-  (4.64e-238, 4.64e-238j)
| (0.89516329135506232207 + 3.8118705194100711201e-923j)  +/-  (1.27e-238, 1.27e-238j)
| (0.9209055179449536256 + 2.5534986257812773637e-923j)  +/-  (2.82e-238, 2.82e-238j)
| (0.97684831775960071162 - 5.9621984096380165521e-922j)  +/-  (1.29e-237, 1.29e-237j)
| (-0.94315443447127746406 + 1.9634150665026284964e-922j)  +/-  (6.05e-238, 6.05e-238j)
| (-0.41796034488678341976 + 2.0457205824193254096e-942j)  +/-  (4.84e-247, 4.84e-247j)
| (-0.97684831775960071162 + 5.4018694653084999337e-931j)  +/-  (1.46e-237, 1.46e-237j)
| (0.86602540378443864676 - 2.7940669326699765289e-947j)  +/-  (4.74e-239, 4.74e-239j)
| (0.75940491665470713248 + 2.3023147070696683289e-949j)  +/-  (8.84e-241, 8.84e-241j)
| (-0.89516329135506232207 - 1.9132435259438587231e-943j)  +/-  (1.27e-238, 1.27e-238j)
| (-0.86602540378443864676 + 2.3731703922079837212e-946j)  +/-  (5.66e-239, 5.66e-239j)
| (0.99952571971336587467 + 1.4432770487114363632e-946j)  +/-  (4.3e-238, 4.3e-238j)
| (0.83360238522111948462 - 1.4851262953475034654e-953j)  +/-  (1.83e-239, 1.83e-239j)
| (0.71791192306444192175 + 1.058281806926784204e-955j)  +/-  (1.79e-241, 1.79e-241j)
| (-0.36124166618715294874 - 7.6102379725494950719e-962j)  +/-  (3.05e-248, 3.05e-248j)
| (-0.79801722728023950333 - 7.025342959590954353e-951j)  +/-  (4.95e-240, 4.95e-240j)
| (-0.96182564317281907041 + 2.9366667300667642456e-956j)  +/-  (9.99e-238, 9.99e-238j)
| (0.98816547208125941376 + 1.0157309985421633814e-971j)  +/-  (1.51e-237, 1.51e-237j)
| (0.79801722728023950333 + 1.8955988768350438465e-983j)  +/-  (4.3e-240, 4.3e-240j)
| (-0.99573417629503452187 + 3.7437125944779791012e-993j)  +/-  (1.35e-237, 1.35e-237j)
| (-0.71791192306444192175 + 7.9766773810939342951e-1014j)  +/-  (1.84e-241, 1.84e-241j)
| (-0.67369564364655721171 - 1.5144774810896263604e-1015j)  +/-  (3e-242, 3e-242j)
| (0.061560906133942837451 - 8.2788367556055115466e-1020j)  +/-  (1.18e-254, 1.18e-254j)
| (0.67369564364655721171 - 8.7646066096043997038e-1016j)  +/-  (3.07e-242, 3.07e-242j)
| (0.36124166618715294874 - 3.8122118243769434998e-1018j)  +/-  (2.93e-248, 2.93e-248j)
| (0.96182564317281907041 - 2.2526836113417800278e-1012j)  +/-  (9.27e-238, 9.27e-238j)
| (-0.75940491665470713248 + 2.6571210129165666052e-1016j)  +/-  (9.07e-241, 9.07e-241j)
| (-0.83360238522111948462 - 9.1513231002924408314e-1021j)  +/-  (1.77e-239, 1.77e-239j)
| (0.52643216287735580024 + 3.8959387744425683431e-1026j)  +/-  (5.18e-245, 5.18e-245j)
| (0.62692380589410646502 - 2.7735453834638241326e-1023j)  +/-  (3.77e-243, 3.77e-243j)
| (0.94315443447127746406 + 4.4007672479995381913e-1026j)  +/-  (6.15e-238, 6.15e-238j)
| (-0.57777383140825110211 + 6.5188145439594168992e-1029j)  +/-  (5.8e-244, 5.8e-244j)
| (-0.62692380589410646502 - 5.5293006924721371523e-1032j)  +/-  (4.02e-243, 4.02e-243j)
| (-0.061560906133942837451 + 3.2800648268870792672e-1041j)  +/-  (9.36e-255, 9.36e-255j)
| (0.57777383140825110211 + 9.0454852192109163627e-1035j)  +/-  (4.99e-244, 4.99e-244j)
| (0.30315267411304349991 - 2.6180933841668204539e-1041j)  +/-  (1.89e-249, 1.89e-249j)
| (-0.18374951781657033157 + 4.5017452941344924916e-1044j)  +/-  (6.55e-252, 6.55e-252j)
| (-0.52643216287735580024 - 6.3217808224906648076e-1038j)  +/-  (6.02e-245, 6.02e-245j)
| (-0.12288829066471412227 - 2.7155072020090195528e-1046j)  +/-  (2.38e-253, 2.38e-253j)
| (0.41796034488678341976 - 7.6214678493351335784e-1038j)  +/-  (4.14e-247, 4.14e-247j)
| (0.47309355683601007442 - 1.116885908681913466e-1037j)  +/-  (5.93e-246, 5.93e-246j)
| (1.5599748694333108405e-1045 + 7.3310237595249567841e-1046j)  +/-  (8.79e-1044, 8.79e-1044j)
| (-0.47309355683601007442 + 1.1588664554629496093e-1037j)  +/-  (6.46e-246, 6.46e-246j)
| (-0.30315267411304349991 - 4.3946794575796803166e-1043j)  +/-  (1.69e-249, 1.69e-249j)
| (0.12288829066471412227 + 3.5580226104618127628e-1045j)  +/-  (2.47e-253, 2.47e-253j)
| (0.24391372010837714866 + 1.7800570189580308079e-1042j)  +/-  (8.98e-251, 8.98e-251j)
| (0.18374951781657033157 + 2.066347916153717874e-1047j)  +/-  (5.5e-252, 5.5e-252j)
| (-0.24391372010837714866 - 1.5308172876447790135e-1043j)  +/-  (1.16e-250, 1.16e-250j)
-------------------------------------------------
The weights are:
| (0.019607843137254901961 - 5.0286539878945352059e-898j)  +/-  (7.63e-60, 8.63e-174j)
| (0.019607843137254901961 + 5.618049504900326785e-897j)  +/-  (3.65e-60, 4.12e-174j)
| (0.019607843137254901961 + 1.0112835473219997447e-896j)  +/-  (1.39e-60, 1.57e-174j)
| (0.019607843137254901961 - 4.7217432769268586454e-897j)  +/-  (2.14e-60, 2.42e-174j)
| (0.019607843137254901961 - 7.5884598558469425591e-898j)  +/-  (1.42e-61, 1.61e-175j)
| (0.019607843137254901961 + 7.62962370063529931e-898j)  +/-  (1.29e-61, 1.46e-175j)
| (0.019607843137254901961 - 1.0752533583345180117e-897j)  +/-  (3.52e-62, 3.98e-176j)
| (0.019607843137254901961 - 1.2878200533697910845e-896j)  +/-  (5.32e-62, 6.01e-176j)
| (0.019607843137254901961 + 2.82609658742092669e-897j)  +/-  (2.38e-64, 2.69e-178j)
| (0.019607843137254901961 - 3.2943717090974850493e-896j)  +/-  (8.37e-62, 9.46e-176j)
| (0.019607843137254901961 + 7.7118175475066478288e-898j)  +/-  (5.01e-63, 5.66e-177j)
| (0.019607843137254901961 - 8.6387544407709079401e-898j)  +/-  (2.12e-64, 2.4e-178j)
| (0.019607843137254901961 - 8.3688227754489757189e-897j)  +/-  (2.91e-63, 3.29e-177j)
| (0.019607843137254901961 + 7.1533340519837946477e-897j)  +/-  (5.1e-64, 5.76e-178j)
| (0.019607843137254901961 - 6.0796638073006646204e-898j)  +/-  (5.4e-64, 6.1e-178j)
| (0.019607843137254901961 - 7.9460821235584334852e-898j)  +/-  (6.32e-64, 7.15e-178j)
| (0.019607843137254901961 + 9.0679680189689545542e-898j)  +/-  (3.82e-65, 4.32e-179j)
| (0.019607843137254901961 - 2.6451616085066713108e-897j)  +/-  (6.38e-67, 7.21e-181j)
| (0.019607843137254901961 + 5.5480799318630144511e-897j)  +/-  (2.98e-66, 3.37e-180j)
| (0.019607843137254901961 + 1.8112789742283684325e-896j)  +/-  (4.39e-64, 4.97e-178j)
| (0.019607843137254901961 + 1.7196133105732069127e-897j)  +/-  (2.09e-65, 2.36e-179j)
| (0.019607843137254901961 + 8.2610731728432603911e-898j)  +/-  (8.46e-66, 9.56e-180j)
| (0.019607843137254901961 + 2.1236224023273828837e-896j)  +/-  (2.98e-64, 3.37e-178j)
| (0.019607843137254901961 + 4.5196407613819157987e-897j)  +/-  (3.63e-68, 4.1e-182j)
| (0.019607843137254901961 - 4.1290118525453290547e-897j)  +/-  (1.22e-68, 1.38e-182j)
| (0.019607843137254901961 + 1.7401344243834044634e-897j)  +/-  (3.13e-72, 3.54e-186j)
| (0.019607843137254901961 - 9.5417418725567940552e-898j)  +/-  (7.33e-70, 8.28e-184j)
| (0.019607843137254901961 - 1.3188547816181321114e-897j)  +/-  (1.44e-72, 1.62e-186j)
| (0.019607843137254901961 + 8.754538789817734139e-898j)  +/-  (1.74e-68, 1.96e-182j)
| (0.019607843137254901961 - 4.9842259729404993253e-897j)  +/-  (1.54e-69, 1.74e-183j)
| (0.019607843137254901961 - 6.2500547096826307178e-897j)  +/-  (7.06e-69, 7.98e-183j)
| (0.019607843137254901961 + 1.1196621671352942869e-897j)  +/-  (1.12e-72, 1.27e-186j)
| (0.019607843137254901961 + 1.0055815331387346256e-897j)  +/-  (1.98e-71, 2.24e-185j)
| (0.019607843137254901961 - 7.9398147620415823693e-898j)  +/-  (5.76e-69, 6.5e-183j)
| (0.019607843137254901961 - 3.5056576443845134883e-897j)  +/-  (4.95e-73, 5.59e-187j)
| (0.019607843137254901961 + 3.7950838823806056729e-897j)  +/-  (2.72e-72, 3.07e-186j)
| (0.019607843137254901961 + 1.9505279527622264647e-897j)  +/-  (1.82e-76, 2.06e-190j)
| (0.019607843137254901961 - 1.0607789654290180612e-897j)  +/-  (1.42e-73, 1.6e-187j)
| (0.019607843137254901961 + 1.3933068573472559065e-897j)  +/-  (3.73e-76, 4.22e-190j)
| (0.019607843137254901961 + 2.1941788939124319994e-897j)  +/-  (5.35e-77, 6.05e-191j)
| (0.019607843137254901961 + 3.2518466944388667115e-897j)  +/-  (1.94e-75, 2.19e-189j)
| (0.019607843137254901961 - 2.0676569638558109393e-897j)  +/-  (5.63e-77, 6.37e-191j)
| (0.019607843137254901961 + 1.248574780704894104e-897j)  +/-  (1.11e-76, 1.26e-190j)
| (0.019607843137254901961 - 1.1822317228408509462e-897j)  +/-  (2.26e-76, 2.55e-190j)
| (0.019607843137254901961 - 1.8416670030433341601e-897j)  +/-  (3.58e-78, 4.04e-192j)
| (0.019607843137254901961 - 3.0270140045137225699e-897j)  +/-  (1.83e-77, 2.07e-191j)
| (0.019607843137254901961 + 2.4811059847634477318e-897j)  +/-  (2.17e-78, 2.46e-192j)
| (0.019607843137254901961 - 1.6451421742287725416e-897j)  +/-  (2.28e-79, 2.57e-193j)
| (0.019607843137254901961 - 1.4722375675519443726e-897j)  +/-  (9.84e-80, 1.11e-193j)
| (0.019607843137254901961 + 1.5560283078378916799e-897j)  +/-  (7.99e-80, 9.04e-194j)
| (0.019607843137254901961 - 2.331447897161609825e-897j)  +/-  (7.16e-80, 7.94e-194j)
