Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 46
-------------------------------------------------
Trying to find an order 46 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^48 - 49632621618851/2786236243252*t^46 + 25136899752350745/253547498135932*t^44 - 704882310752454795/2051429757645268*t^42 + 7064028326526262725/8498780424530396*t^40 - 16567231122815673123/11113789785924364*t^38 + 1895849727693954323553/922444552231722212*t^36 - 881224861348256641045/395333379527880948*t^34 + 24264713574848435065/12570833125117484*t^32 - 1955574634562342434975/1451931225951069402*t^30 + 571579884081164271373/750998909974691070*t^28 - 303538569705614079411/870205086161149970*t^26 + 17595333323947838976855/135926034458371625314*t^24 - 5263023652185488940145/135926034458371625314*t^22 + 1095449697709308074775/118273302710531154494*t^20 - 18852459400451935079469/10762870546658335058954*t^18 + 144935657997170266679/562239506168718995617*t^16 - 265581433838985182795805/9191491446846218140346716*t^14 + 14276594736393792283205/5959318630372822750334684*t^12 - 229340698680693757525/1625268717374406204636732*t^10 + 33209591147824711593/5959318630372822750334684*t^8 - 6098681427341973249/45120555344251372252534036*t^6 + 9341382981595759855/5369346085965913298051550284*t^4 - 25769608856510135205/2894077540335627267649785603076*t^2 + 21926870591047875/2894077540335627267649785603076
-------------------------------------------------
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
-------------------------------------------------
The nodes are:
| (0.9841347920523122598 - 2.6427349581047750562e-923j)  +/-  (1.2e-238, 1.2e-238j)
| (-0.99353439340965969908 + 4.218076293584290854e-942j)  +/-  (9.88e-239, 9.88e-239j)
| (-0.93142727437917378807 - 4.2158360225708786523e-942j)  +/-  (5.84e-239, 5.84e-239j)
| (0.99877181556781104255 + 1.6568774026904144155e-939j)  +/-  (2.72e-239, 2.72e-239j)
| (0.95301649109280413346 - 5.8374067668407014164e-956j)  +/-  (9.04e-239, 9.04e-239j)
| (0.93142727437917378807 + 1.1726905391976486142e-969j)  +/-  (5.66e-239, 5.66e-239j)
| (-0.9841347920523122598 - 4.9266821201574896e-976j)  +/-  (1.27e-238, 1.27e-238j)
| (-0.90593252997857285282 + 2.4566104008063308073e-977j)  +/-  (2.68e-239, 2.68e-239j)
| (-0.87663867909948142213 - 1.0993352141635751929e-978j)  +/-  (1.15e-239, 1.15e-239j)
| (0.8436680578134902362 + 2.2585861358678193837e-977j)  +/-  (3.95e-240, 3.95e-240j)
| (0.87663867909948142213 - 5.350685568326556003e-978j)  +/-  (1.14e-239, 1.14e-239j)
| (-0.99877181556781104255 - 8.4372077449306441089e-986j)  +/-  (2.86e-239, 2.86e-239j)
| (-0.95301649109280413346 + 4.1082813635278759466e-986j)  +/-  (9.18e-239, 9.18e-239j)
| (-0.80715842173132252386 - 1.8077192814962086692e-989j)  +/-  (1.28e-240, 1.28e-240j)
| (0.99353439340965969908 - 1.5511949993991611095e-985j)  +/-  (9.06e-239, 9.06e-239j)
| (0.76726238753913197782 - 9.6399797533607284305e-1004j)  +/-  (3.11e-241, 3.11e-241j)
| (0.62899151175787332056 - 2.185138939107916146e-1011j)  +/-  (1.88e-243, 1.88e-243j)
| (-0.8436680578134902362 - 4.0069859020175714978e-1008j)  +/-  (4.44e-240, 4.44e-240j)
| (-0.76726238753913197782 + 3.0724133790225743033e-1009j)  +/-  (3.09e-241, 3.09e-241j)
| (-0.9706101082582881573 + 6.1403186128920698161e-1006j)  +/-  (1.24e-238, 1.24e-238j)
| (0.90593252997857285282 - 2.0606904080563932524e-1006j)  +/-  (2.68e-239, 2.68e-239j)
| (0.7241468119421452457 + 4.8580872653667115208e-1021j)  +/-  (6.19e-242, 6.19e-242j)
| (0.9706101082582881573 + 2.5978313054681652386e-1029j)  +/-  (1.18e-238, 1.18e-238j)
| (-0.67799210954687477545 + 1.5638427820440307419e-1048j)  +/-  (1.16e-242, 1.16e-242j)
| (-0.7241468119421452457 + 1.7085743572854442584e-1048j)  +/-  (6.52e-242, 6.52e-242j)
| (0.22483310504694234936 - 1.5474695320105261054e-1058j)  +/-  (4.5e-251, 4.5e-251j)
| (0.67799210954687477545 - 3.6099952871153672001e-1048j)  +/-  (1.23e-242, 1.23e-242j)
| (0.52328480048038451693 - 3.5199619947377526175e-1053j)  +/-  (2.39e-245, 2.39e-245j)
| (-0.16127334095055363432 + 7.503533276731852067e-1060j)  +/-  (2.14e-252, 2.14e-252j)
| (-0.62899151175787332056 - 5.145367636287377308e-1051j)  +/-  (1.67e-243, 1.67e-243j)
| (-0.22483310504694234936 - 8.5850075366042974073e-1060j)  +/-  (4.17e-251, 4.17e-251j)
| (0.46702179076295320509 - 1.7760793522744138144e-1053j)  +/-  (2.22e-246, 2.22e-246j)
| (0.80715842173132252386 + 4.4833179758713804996e-1055j)  +/-  (1.33e-240, 1.33e-240j)
| (0.16127334095055363432 - 2.7586957345789959195e-1068j)  +/-  (2.05e-252, 2.05e-252j)
| (-0.52328480048038451693 + 2.4539528892226935789e-1058j)  +/-  (2.55e-245, 2.55e-245j)
| (-0.46702179076295320509 + 1.7354220475305815827e-1059j)  +/-  (2.35e-246, 2.35e-246j)
| (-0.032390669202207414221 + 8.3657807823440685855e-1070j)  +/-  (6.22e-255, 6.22e-255j)
| (0.57735026918962576451 + 8.2681454415860847982e-1061j)  +/-  (2.32e-244, 2.32e-244j)
| (0.28744815544929540845 - 1.8732668946141042271e-1065j)  +/-  (7.27e-250, 7.27e-250j)
| (-0.28744815544929540845 - 3.869733357302208021e-1064j)  +/-  (7.63e-250, 7.63e-250j)
| (-0.57735026918962576451 - 8.1870518726108155943e-1062j)  +/-  (2.31e-244, 2.31e-244j)
| (-0.097035890520288195344 - 1.9356417905174845429e-1072j)  +/-  (9.33e-254, 9.33e-254j)
| (0.34885548892634643684 - 1.1931057153345461917e-1067j)  +/-  (1.4e-248, 1.4e-248j)
| (0.40879724340009108784 + 1.5328289067181931564e-1064j)  +/-  (1.76e-247, 1.76e-247j)
| (0.032390669202207414221 + 7.3097353406698634453e-1073j)  +/-  (6.22e-255, 6.22e-255j)
| (-0.40879724340009108784 + 3.6428453686452548962e-1065j)  +/-  (1.9e-247, 1.9e-247j)
| (-0.34885548892634643684 - 4.9574337631773871264e-1067j)  +/-  (1.24e-248, 1.24e-248j)
| (0.097035890520288195344 - 3.5627114771750222731e-1072j)  +/-  (9.33e-254, 9.33e-254j)
-------------------------------------------------
The weights are:
| (0.011470036014897462648 + 9.4672720463855517716e-924j)  +/-  (5.14e-61, 4.96e-177j)
| (0.007322820730599082296 + 7.8389316112468883499e-926j)  +/-  (1.44e-61, 1.39e-177j)
| (0.023558368504586090192 + 4.6443907855912539907e-925j)  +/-  (1.37e-61, 1.32e-177j)
| (0.0031512759838279272678 - 3.0327048815008787669e-924j)  +/-  (1.08e-61, 1.04e-177j)
| (0.0196050465941992023 + 2.172246073273304232e-923j)  +/-  (7.5e-62, 7.24e-178j)
| (0.023558368504586090192 - 1.6879221794762215606e-923j)  +/-  (4.2e-62, 4.05e-178j)
| (0.011470036014897462648 - 1.5400464139712600814e-925j)  +/-  (4.45e-63, 4.29e-179j)
| (0.027413376209440699632 - 5.9033097371881362383e-925j)  +/-  (2.54e-63, 2.46e-179j)
| (0.031153927951290323812 + 7.2578054367539997001e-925j)  +/-  (9.19e-64, 8.87e-180j)
| (0.034764346042717363647 + 1.1322331590530144857e-923j)  +/-  (6.28e-65, 6.06e-181j)
| (0.031153927951290323812 - 1.2563367590248714801e-923j)  +/-  (1.36e-64, 1.32e-180j)
| (0.0031512759838279272678 - 2.238621450728468885e-926j)  +/-  (2.48e-64, 2.39e-180j)
| (0.0196050465941992023 - 3.4894851865405189726e-925j)  +/-  (2.43e-64, 2.35e-180j)
| (0.038229479652548603564 + 1.0228199306889968938e-924j)  +/-  (2.06e-66, 1.99e-182j)
| (0.007322820730599082296 + 1.6493054231910133313e-923j)  +/-  (1.46e-65, 1.41e-181j)
| (0.04153476790735284053 + 9.557148104005998654e-924j)  +/-  (5.81e-68, 5.61e-184j)
| (0.050356088519477971508 - 7.7663081413007700796e-924j)  +/-  (4.35e-69, 4.2e-185j)
| (0.034764346042717363647 - 8.7012171066895155821e-925j)  +/-  (1.4e-66, 1.35e-182j)
| (0.04153476790735284053 - 1.183444688478866942e-924j)  +/-  (3.83e-68, 3.7e-184j)
| (0.01556995899296479955 + 2.4496251077612767793e-925j)  +/-  (1.35e-65, 1.3e-181j)
| (0.027413376209440699632 + 1.426768552495977981e-923j)  +/-  (1.27e-67, 1.23e-183j)
| (0.04466630182784866187 - 8.8811914858857347208e-924j)  +/-  (7.67e-70, 7.4e-186j)
| (0.01556995899296479955 - 3.5404836519615473029e-923j)  +/-  (2.44e-67, 2.35e-183j)
| (0.047610884428585516291 - 1.5271760267031320418e-924j)  +/-  (5.68e-71, 5.49e-187j)
| (0.04466630182784866187 + 1.3516524617416277834e-924j)  +/-  (5.13e-70, 4.95e-186j)
| (0.063131614054078614744 + 5.0708184623374080062e-924j)  +/-  (8.45e-75, 8.16e-191j)
| (0.047610884428585516291 + 8.2914291358753926035e-924j)  +/-  (1.91e-71, 1.85e-187j)
| (0.055202828939319755176 - 6.8559016073212119669e-924j)  +/-  (1.3e-73, 1.25e-189j)
| (0.063943390631913451352 + 3.4251904963470726585e-924j)  +/-  (3.47e-76, 3.35e-192j)
| (0.050356088519477971508 + 1.7098178503222216115e-924j)  +/-  (6.07e-74, 5.85e-190j)
| (0.063131614054078614744 - 3.1847669588158360343e-924j)  +/-  (2.7e-76, 2.6e-192j)
| (0.057283840073976501391 + 6.4528882063010209714e-924j)  +/-  (3.28e-75, 3.17e-191j)
| (0.038229479652548603564 - 1.0352627288280128806e-923j)  +/-  (2.96e-72, 2.85e-188j)
| (0.063943390631913451352 - 4.7678027040239791224e-924j)  +/-  (1.02e-76, 9.89e-193j)
| (0.055202828939319755176 + 2.0959938517472958681e-924j)  +/-  (1.36e-76, 1.31e-192j)
| (0.057283840073976501391 - 2.2994571549759622581e-924j)  +/-  (4.44e-77, 4.29e-193j)
| (0.064758642543930826515 + 3.93193664336950475e-924j)  +/-  (2.31e-78, 2.23e-194j)
| (0.05289031180989115908 + 7.2912238206305516205e-924j)  +/-  (5.17e-76, 4.98e-192j)
| (0.062054634249307795445 - 5.3885157619479343997e-924j)  +/-  (3.65e-78, 3.52e-194j)
| (0.062054634249307795445 + 2.9523098983435390035e-924j)  +/-  (1.35e-78, 1.3e-194j)
| (0.05289031180989115908 - 1.8994462877545933265e-924j)  +/-  (2.33e-77, 2.25e-193j)
| (0.064486505145812145599 - 3.6740516096556137752e-924j)  +/-  (1.36e-78, 1.31e-194j)
| (0.060717037466237129234 + 5.7229343529545864711e-924j)  +/-  (1.06e-78, 1.03e-194j)
| (0.059124515725196076355 - 6.0766376624583809351e-924j)  +/-  (1.41e-78, 1.36e-194j)
| (0.064758642543930826515 - 4.1995675245732286651e-924j)  +/-  (7.3e-80, 7.07e-196j)
| (0.059124515725196076355 + 2.5098983495135725384e-924j)  +/-  (2.21e-80, 2.15e-196j)
| (0.060717037466237129234 - 2.7274480537933097738e-924j)  +/-  (1.89e-80, 1.84e-196j)
| (0.064486505145812145599 + 4.4778286612216293922e-924j)  +/-  (1.96e-80, 1.85e-196j)
