Starting with polynomial:
P : t
Extension levels are: 1 48
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^49 - 49/4*t^47 + 1127/16*t^45 - 8085/32*t^43 + 162239/256*t^41 - 604709/512*t^39 + 3473561/2048*t^37 - 7868679/4096*t^35 + 114191805/65536*t^33 - 83740657/65536*t^31 + 199689259/262144*t^29 - 193956553/524288*t^27 + 613322073/4194304*t^25 - 393155175/8388608*t^23 + 405992895/33554432*t^21 - 167173545/67108864*t^19 + 866262915/2147483648*t^17 - 866262915/17179869184*t^15 + 326012925/68719476736*t^13 - 44612295/137438953472*t^11 + 16921905/1099511627776*t^9 - 1036035/2199023255552*t^7 + 73255/8796093022208*t^5 - 1225/17592186044416*t^3 + 49/281474976710656*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:   49 out of 49
Indefinite weights: 0 out of 49
Negative weights:   0 out of 49
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.99537911294919820461 + 1.1822896057456951648e-920j)  +/-  (1.64e-238, 1.64e-238j)
| (-0.99537911294919820461 - 5.2152567382715400453e-918j)  +/-  (1.8e-238, 1.8e-238j)
| (-0.91441262301581248132 + 1.4478386088665429519e-928j)  +/-  (3.99e-239, 3.99e-239j)
| (0.9994862162006878677 + 9.9290427779204916835e-928j)  +/-  (6.14e-239, 6.14e-239j)
| (0.95866785303666062215 - 1.7956563120911317973e-929j)  +/-  (1.68e-238, 1.68e-238j)
| (0.93846842204976040297 - 1.9121686726202547948e-930j)  +/-  (9.45e-239, 9.45e-239j)
| (-0.88659930637300006006 + 1.6780127628617076938e-931j)  +/-  (1.87e-239, 1.87e-239j)
| (-0.93846842204976040297 + 1.0546415320152683622e-930j)  +/-  (1.01e-238, 1.01e-238j)
| (-0.9994862162006878677 + 1.8292387427723680632e-942j)  +/-  (7.79e-239, 7.79e-239j)
| (-0.97492791218182360702 - 1.6658541116340785904e-971j)  +/-  (1.96e-238, 1.96e-238j)
| (0.91441262301581248132 + 2.2081386533264562484e-987j)  +/-  (4.62e-239, 4.62e-239j)
| (0.12787716168450601059 - 1.7054745219346788636e-1002j)  +/-  (2.26e-253, 2.26e-253j)
| (-0.82017225459695588021 - 4.3002732119143918611e-987j)  +/-  (2.15e-240, 2.15e-240j)
| (-0.85514276300534616572 + 1.1590680345480252437e-992j)  +/-  (7.75e-240, 7.75e-240j)
| (0.98718178341445013411 - 1.3735431960679729478e-998j)  +/-  (2.17e-238, 2.17e-238j)
| (0.82017225459695588021 - 3.0621102986301482514e-1007j)  +/-  (2.15e-240, 2.15e-240j)
| (0.85514276300534616572 + 9.0785573809626559514e-1006j)  +/-  (6.82e-240, 6.82e-240j)
| (-0.98718178341445013411 + 2.6304330725117843061e-1008j)  +/-  (2.62e-238, 2.62e-238j)
| (-0.74027799707531553887 - 2.4127216524629555362e-1027j)  +/-  (1.32e-241, 1.32e-241j)
| (-0.95866785303666062215 - 1.0588758158814804511e-1022j)  +/-  (1.32e-238, 1.32e-238j)
| (0.88659930637300006006 + 2.2016452384428483646e-1033j)  +/-  (2.36e-239, 2.36e-239j)
| (0.78183148246802980871 - 1.0442296079910036404e-1035j)  +/-  (5.05e-241, 5.05e-241j)
| (0.97492791218182360702 + 4.6229662111170376661e-1040j)  +/-  (2.21e-238, 2.21e-238j)
| (-0.69568255060348639801 - 1.7510291815651524501e-1043j)  +/-  (2.11e-242, 2.11e-242j)
| (-0.78183148246802980871 + 4.7216945567627678977e-1044j)  +/-  (5.45e-241, 5.45e-241j)
| (-0.12787716168450601059 - 1.2822836815479450264e-1056j)  +/-  (3.44e-253, 3.44e-253j)
| (0.74027799707531553887 - 8.6344180440556696996e-1044j)  +/-  (1.4e-241, 1.4e-241j)
| (0.69568255060348639801 - 2.2278480145833825588e-1046j)  +/-  (1.97e-242, 1.97e-242j)
| (-0.064070219980712923421 - 3.585718551815706906e-1060j)  +/-  (1.23e-254, 1.23e-254j)
| (-0.59811053049121596206 + 1.7739545442761652038e-1048j)  +/-  (3.76e-244, 3.76e-244j)
| (-0.31510821802362068847 + 1.3832080960691989485e-1055j)  +/-  (1.78e-249, 1.78e-249j)
| (0.64822839530778840163 + 2.5304349580321834015e-1049j)  +/-  (3.05e-243, 3.05e-243j)
| (0.59811053049121596206 - 2.6954742231366681513e-1050j)  +/-  (3.95e-244, 3.95e-244j)
| (0.31510821802362068847 + 9.5383610700368914182e-1056j)  +/-  (1.75e-249, 1.75e-249j)
| (-0.49071755200393788669 + 1.1017186200527262071e-1051j)  +/-  (4.81e-246, 4.81e-246j)
| (-0.64822839530778840163 + 4.9015391830643911279e-1053j)  +/-  (3.27e-243, 3.27e-243j)
| (0.064070219980712923421 + 2.2478023340303823128e-1064j)  +/-  (1.23e-254, 1.23e-254j)
| (0.54553490121054866513 + 1.4962664624564262059e-1054j)  +/-  (4.54e-245, 4.54e-245j)
| (0.25365458390950738785 + 7.7528152933108690779e-1061j)  +/-  (1.02e-250, 1.02e-250j)
| (-0.25365458390950738785 + 1.4825465811459995713e-1061j)  +/-  (1.08e-250, 1.08e-250j)
| (-0.54553490121054866513 + 2.9808932141258553667e-1057j)  +/-  (4.41e-245, 4.41e-245j)
| (-0.19115862870137230216 - 3.4548630500429184704e-1063j)  +/-  (5.76e-252, 5.76e-252j)
| (0.37526700487937413389 + 2.461468691349962398e-1058j)  +/-  (2.74e-248, 2.74e-248j)
| (0.43388373911755812048 + 2.9718149231741370057e-1058j)  +/-  (4.56e-247, 4.56e-247j)
| (-2.0578177804298441123e-1078 - 2.3903069820333207711e-1078j)  +/-  (1.55e-1076, 1.55e-1076j)
| (-0.37526700487937413389 + 1.1365667407832382935e-1059j)  +/-  (2.47e-248, 2.47e-248j)
| (-0.43388373911755812048 + 4.3165445358906242135e-1059j)  +/-  (4.15e-247, 4.15e-247j)
| (0.19115862870137230216 - 2.556266314620988272e-1063j)  +/-  (6.05e-252, 6.05e-252j)
| (0.49071755200393788669 + 1.556097114439909896e-1057j)  +/-  (4.92e-246, 4.92e-246j)
-------------------------------------------------
The weights are:
| (0.020408163265306122449 - 6.6487676409478009039e-920j)  +/-  (2.32e-60, 5.27e-175j)
| (0.020408163265306122449 - 5.7450859149197580259e-918j)  +/-  (4.37e-61, 9.91e-176j)
| (0.020408163265306122449 + 5.5419586888375619092e-918j)  +/-  (4.24e-61, 9.62e-176j)
| (0.020408163265306122449 - 1.8004737919516374517e-921j)  +/-  (1.17e-60, 2.66e-175j)
| (0.020408163265306122449 + 1.8087130926007714937e-919j)  +/-  (1.65e-61, 3.74e-176j)
| (0.020408163265306122449 - 2.1320106515649963449e-919j)  +/-  (9.9e-62, 2.25e-176j)
| (0.020408163265306122449 - 4.7136847878667710072e-918j)  +/-  (1.25e-62, 2.84e-177j)
| (0.020408163265306122449 - 6.7269427513054334217e-918j)  +/-  (7.05e-63, 1.6e-177j)
| (0.020408163265306122449 - 8.6499976122963812944e-918j)  +/-  (1.3e-63, 2.95e-178j)
| (0.020408163265306122449 - 1.2060533140178876465e-917j)  +/-  (1.21e-63, 2.75e-178j)
| (0.020408163265306122449 + 2.4749359530779420025e-919j)  +/-  (1.38e-65, 3.13e-180j)
| (0.020408163265306122449 + 9.8156266739394150915e-919j)  +/-  (1.16e-67, 2.64e-182j)
| (0.020408163265306122449 - 3.6202012880498216115e-918j)  +/-  (1.86e-65, 4.22e-180j)
| (0.020408163265306122449 + 4.0980475820757386117e-918j)  +/-  (8.71e-65, 1.98e-179j)
| (0.020408163265306122449 + 1.3815281519036163024e-919j)  +/-  (2.95e-65, 6.7e-180j)
| (0.020408163265306122449 - 3.574904125947762089e-919j)  +/-  (6.33e-68, 1.44e-182j)
| (0.020408163265306122449 + 3.1979372650328439697e-919j)  +/-  (1.2e-67, 2.73e-182j)
| (0.020408163265306122449 + 2.1580847872910211269e-917j)  +/-  (6.86e-65, 1.56e-179j)
| (0.020408163265306122449 - 2.9221347127876575162e-918j)  +/-  (1.68e-68, 3.82e-183j)
| (0.020408163265306122449 + 8.5910809739422409193e-918j)  +/-  (3.9e-65, 8.85e-180j)
| (0.020408163265306122449 - 2.8310336497303087367e-919j)  +/-  (1.87e-67, 4.24e-182j)
| (0.020408163265306122449 + 3.9619773190222268211e-919j)  +/-  (1.72e-69, 3.9e-184j)
| (0.020408163265306122449 - 1.5252216964329382783e-919j)  +/-  (8.22e-67, 1.87e-181j)
| (0.020408163265306122449 + 2.6578631489037935017e-918j)  +/-  (2.2e-70, 4.99e-185j)
| (0.020408163265306122449 + 3.237107393291251033e-918j)  +/-  (8.38e-69, 1.9e-183j)
| (0.020408163265306122449 + 1.2694429838393995415e-918j)  +/-  (5.28e-74, 1.2e-188j)
| (0.020408163265306122449 - 4.3596481839155108837e-919j)  +/-  (3.58e-71, 8.13e-186j)
| (0.020408163265306122449 + 4.7687064180411983018e-919j)  +/-  (3.24e-72, 7.34e-187j)
| (0.020408163265306122449 - 1.1900956000329277983e-918j)  +/-  (1e-74, 2.27e-189j)
| (0.020408163265306122449 + 2.2372891050640731799e-918j)  +/-  (1.21e-73, 2.74e-188j)
| (0.020408163265306122449 - 1.548192036638101684e-918j)  +/-  (3.18e-75, 7.23e-190j)
| (0.020408163265306122449 - 5.1901715696379414581e-919j)  +/-  (7.28e-74, 1.65e-188j)
| (0.020408163265306122449 + 5.6252644880852611252e-919j)  +/-  (7.77e-75, 1.76e-189j)
| (0.020408163265306122449 - 8.0622382057003286157e-919j)  +/-  (4.36e-77, 9.88e-192j)
| (0.020408163265306122449 + 1.9152049028395128412e-918j)  +/-  (1.41e-76, 3.21e-191j)
| (0.020408163265306122449 - 2.4323896171375307759e-918j)  +/-  (9.06e-75, 2.06e-189j)
| (0.020408163265306122449 - 1.0467654299101367311e-918j)  +/-  (1.35e-77, 3.06e-192j)
| (0.020408163265306122449 - 6.0754009462143421847e-919j)  +/-  (4.6e-77, 1.04e-191j)
| (0.020408163265306122449 + 8.616754435799399871e-919j)  +/-  (5.48e-78, 1.24e-192j)
| (0.020408163265306122449 + 1.4474538598214959606e-918j)  +/-  (2.94e-78, 6.67e-193j)
| (0.020408163265306122449 - 2.0664223467714444562e-918j)  +/-  (1.51e-77, 3.44e-192j)
| (0.020408163265306122449 - 1.3549159921615721357e-918j)  +/-  (2.8e-78, 6.36e-193j)
| (0.020408163265306122449 + 7.5333878655084773313e-919j)  +/-  (1.76e-79, 3.99e-194j)
| (0.020408163265306122449 - 7.0274991266672581233e-919j)  +/-  (1.1e-79, 2.5e-194j)
| (0.020408163265306122449 + 1.1160897652724416078e-918j)  +/-  (2.03e-79, 4.61e-194j)
| (0.020408163265306122449 + 1.6585170754366322181e-918j)  +/-  (5.51e-80, 1.25e-194j)
| (0.020408163265306122449 - 1.7801411420751256184e-918j)  +/-  (5.6e-80, 1.27e-194j)
| (0.020408163265306122449 - 9.2000311844679119113e-919j)  +/-  (1.3e-80, 3e-195j)
| (0.020408163265306122449 + 6.5421993782543022696e-919j)  +/-  (9.37e-81, 2.06e-195j)
