Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 50
-------------------------------------------------
Trying to find an order 50 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^52 - 801305824157007/42033367295824*t^50 + 14381604551034175/126100101887472*t^48 - 4787587978752927075/11212400726161052*t^46 + 238997866226406889875/213035613797059988*t^44 - 2640063025533611081495/1200746186856156296*t^42 + 4004780945583898058565/1200746186856156296*t^40 - 214298625264609952937325/53433205315098955172*t^38 + 10218452158658277003925/2630836934020152292*t^36 - 190756755584459308846875/62312407381061584624*t^34 + 53511049503789860716568835/27076573724935407389264*t^32 - 3090717569237819540897605/2947852784569580643186*t^30 + 136034316164585252898575/297420651316726527218*t^28 - 97411359757771447004225/594841302633453054436*t^26 + 940567338924816180725875/19629762986903950796388*t^24 - 2717518133564488868481595/238828783007331401356054*t^22 + 1673850780717199076171270/770765617887296795285447*t^20 - 12162567954729961868287825/36996749658590246173701456*t^18 + 439013476992112863752275/11318640306509344719808208*t^16 - 719887249452151890227125/206565185593795541136499796*t^14 + 429832627123204209075535/1859086670344159870228498164*t^12 - 273595172262070259335735/25200952642443056018652975112*t^10 + 505206367259735957044775/1486856205904140305100525531608*t^8 - 274391627879235348138475/42375401868267998695364977650828*t^6 + 913887638473076847125/14125133956089332898454992550276*t^4 - 8325641809381969085741/32939812385600324319197042627243632*t^2 + 269255006018778717917/1679930431665616540279049173989425232
-------------------------------------------------
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:
| (0.98602852188560266639 - 5.3346748426016198133e-828j)  +/-  (1.88e-237, 1.88e-237j)
| (0.99891864699765518812 + 1.2781781157237945727e-834j)  +/-  (4.39e-238, 4.39e-238j)
| (-0.89119156324925910402 - 4.5152939087180971391e-843j)  +/-  (2.33e-238, 2.33e-238j)
| (-0.97411307773615618038 + 1.0019218105734191085e-841j)  +/-  (1.9e-237, 1.9e-237j)
| (0.917065567998515205 + 5.9668710202218252771e-841j)  +/-  (5.75e-238, 5.75e-238j)
| (0.93956568690512333818 + 4.2212914931003010697e-847j)  +/-  (8.98e-238, 8.98e-238j)
| (-0.99891864699765518812 + 4.3066232227905436112e-854j)  +/-  (4.37e-238, 4.37e-238j)
| (-0.86204303385281204819 - 9.6375703844257637198e-857j)  +/-  (1.08e-238, 1.08e-238j)
| (-0.95860576715537996632 + 3.7971933534289837848e-855j)  +/-  (1.51e-237, 1.51e-237j)
| (-0.19716154162773529935 - 1.3776125666155665943e-870j)  +/-  (2.77e-251, 2.77e-251j)
| (0.82973233215191791922 + 6.3359178773696972631e-856j)  +/-  (3.32e-239, 3.32e-239j)
| (0.9943069327413174583 - 2.3935092529197764168e-857j)  +/-  (1.18e-237, 1.18e-237j)
| (-0.917065567998515205 + 6.3145531255782688397e-865j)  +/-  (5.37e-238, 5.37e-238j)
| (-0.82973233215191791922 + 6.8334717472221991856e-867j)  +/-  (3.26e-239, 3.26e-239j)
| (0.31066974108770383971 - 8.6186449362363507326e-877j)  +/-  (7.01e-249, 7.01e-249j)
| (0.86204303385281204819 + 1.5520220166861876547e-864j)  +/-  (1.01e-238, 1.01e-238j)
| (0.89119156324925910402 - 1.3976079114833119293e-878j)  +/-  (2.59e-238, 2.59e-238j)
| (0.36658131421219282215 - 1.1714206620272692787e-900j)  +/-  (1.02e-247, 1.02e-247j)
| (-0.71514147050854687326 - 9.439096622873647918e-902j)  +/-  (4.58e-241, 4.58e-241j)
| (-0.93956568690512333818 - 4.2969216762772490881e-897j)  +/-  (8.99e-238, 8.99e-238j)
| (0.95860576715537996632 + 1.0493349678455789444e-896j)  +/-  (1.49e-237, 1.49e-237j)
| (0.79438459359368471694 + 3.0851842081426563585e-912j)  +/-  (8.21e-240, 8.21e-240j)
| (-0.02787828510026033689 - 2.561173580466285829e-926j)  +/-  (4.3e-255, 4.3e-255j)
| (-0.79438459359368471694 - 2.2741380410693945144e-916j)  +/-  (8.79e-240, 8.79e-240j)
| (-0.75613756034452307365 + 4.8771935054241935395e-917j)  +/-  (2.24e-240, 2.24e-240j)
| (-0.9943069327413174583 - 1.0426177601806940881e-912j)  +/-  (1.27e-237, 1.27e-237j)
| (0.67155906377713975395 + 4.0960179658010258781e-920j)  +/-  (7.89e-242, 7.89e-242j)
| (0.71514147050854687326 - 2.1542548453288842993e-919j)  +/-  (4.26e-241, 4.26e-241j)
| (-0.98602852188560266639 - 4.9528001938174889139e-916j)  +/-  (1.87e-237, 1.87e-237j)
| (-0.62556578024559157263 + 1.7974456820245418563e-923j)  +/-  (1.13e-242, 1.13e-242j)
| (-0.14031573020774821283 + 1.1116429440293588738e-929j)  +/-  (1.47e-252, 1.47e-252j)
| (0.75613756034452307365 + 1.0792645994857809831e-920j)  +/-  (2.02e-240, 2.02e-240j)
| (0.62556578024559157263 - 4.0882087778872550209e-928j)  +/-  (1.17e-242, 1.17e-242j)
| (0.97411307773615618038 + 5.5761033757635805592e-939j)  +/-  (1.86e-237, 1.86e-237j)
| (-0.67155906377713975395 - 6.0736821588882557329e-962j)  +/-  (8.07e-242, 8.07e-242j)
| (-0.4750799420537814674 + 1.2507479079753668928e-967j)  +/-  (1.63e-245, 1.63e-245j)
| (0.02787828510026033689 - 2.6100944792905134915e-969j)  +/-  (4.3e-255, 4.3e-255j)
| (0.57735026918962576451 + 5.1881081962164483321e-963j)  +/-  (1.48e-243, 1.48e-243j)
| (0.25407432653568595106 - 8.4485460889358665685e-971j)  +/-  (4.26e-250, 4.26e-250j)
| (-0.36658131421219282215 + 3.0205457801916737103e-968j)  +/-  (1.06e-247, 1.06e-247j)
| (-0.57735026918962576451 - 3.9255887375860192181e-965j)  +/-  (1.51e-243, 1.51e-243j)
| (-0.083857079463515025585 - 2.4852577877883693007e-973j)  +/-  (9.37e-254, 9.37e-254j)
| (0.42148159287009277102 - 3.2547121656866601015e-967j)  +/-  (1.36e-246, 1.36e-246j)
| (0.52711538571197422254 - 1.9441355440301968714e-966j)  +/-  (1.79e-244, 1.79e-244j)
| (0.14031573020774821283 - 4.2599207220792257939e-975j)  +/-  (1.39e-252, 1.39e-252j)
| (-0.52711538571197422254 - 1.3760698705528644704e-970j)  +/-  (1.66e-244, 1.66e-244j)
| (-0.25407432653568595106 - 5.810668159226565136e-975j)  +/-  (4.42e-250, 4.42e-250j)
| (0.083857079463515025585 + 2.7986880471570793871e-976j)  +/-  (8.24e-254, 8.24e-254j)
| (0.4750799420537814674 - 1.4088525511173035926e-969j)  +/-  (1.65e-245, 1.65e-245j)
| (0.19716154162773529935 - 3.9507316597383471822e-977j)  +/-  (2.54e-251, 2.54e-251j)
| (-0.31066974108770383971 - 1.6326720842441368927e-974j)  +/-  (7.61e-249, 7.61e-249j)
| (-0.42148159287009277102 - 2.3228631717050538349e-971j)  +/-  (1.37e-246, 1.37e-246j)
-------------------------------------------------
The weights are:
| (0.010103269662784628878 + 1.9673484737999258456e-828j)  +/-  (8.52e-65, 1.9e-178j)
| (0.0027745854773019997985 - 6.0404950127096293109e-829j)  +/-  (4.58e-65, 1.02e-178j)
| (0.027528917082245979972 + 1.4204614267115935141e-829j)  +/-  (1.12e-65, 2.51e-179j)
| (0.013720079313559935746 + 4.3991535288768327357e-830j)  +/-  (8.23e-66, 1.84e-179j)
| (0.024202528564373156787 + 3.1018159121233452079e-828j)  +/-  (7.17e-66, 1.6e-179j)
| (0.020783346885023280091 - 3.5800895380889918614e-828j)  +/-  (9.36e-66, 2.09e-179j)
| (0.0027745854773019997985 - 3.9226479547042039744e-831j)  +/-  (1.97e-67, 4.4e-181j)
| (0.030749412800283734117 - 1.7579430248805320713e-829j)  +/-  (8.89e-67, 1.98e-180j)
| (0.01728468833366785708 - 6.3652397556140909954e-830j)  +/-  (8.1e-67, 1.81e-180j)
| (0.056942198395908620357 - 2.1775643410711395598e-828j)  +/-  (6.24e-69, 1.39e-182j)
| (0.033851131675180597526 - 2.489301651661430587e-828j)  +/-  (3.64e-68, 8.12e-182j)
| (0.0064484652771501378168 + 3.3007700498503698011e-828j)  +/-  (1.03e-66, 2.29e-180j)
| (0.024202528564373156787 - 1.1240136478981998413e-829j)  +/-  (2.79e-67, 6.22e-181j)
| (0.033851131675180597526 + 2.1427290390975807813e-829j)  +/-  (6.52e-68, 1.45e-181j)
| (0.056311438586613852941 + 2.8539036993609679784e-828j)  +/-  (8.63e-71, 1.92e-184j)
| (0.030749412800283734117 + 2.6203103940144375883e-828j)  +/-  (2.06e-68, 4.6e-182j)
| (0.027528917082245979972 - 2.8116874431277939036e-828j)  +/-  (3.81e-68, 8.5e-182j)
| (0.05545720760455018556 - 2.6910260135023215949e-828j)  +/-  (3.51e-71, 7.82e-185j)
| (0.042317419152287463559 - 3.6739056713815038924e-829j)  +/-  (3.87e-71, 8.62e-185j)
| (0.020783346885023280091 + 8.6384292554448777452e-830j)  +/-  (4.65e-69, 1.04e-182j)
| (0.01728468833366785708 + 4.5137935171259174741e-828j)  +/-  (8.11e-69, 1.81e-182j)
| (0.036821386449638984147 + 2.3995822291956189222e-828j)  +/-  (1.72e-70, 3.84e-184j)
| (0.055797477000477633074 + 3.4180587180626669441e-828j)  +/-  (4.35e-73, 9.7e-187j)
| (0.036821386449638984147 - 2.5829137573168053501e-829j)  +/-  (1.22e-70, 2.72e-184j)
| (0.03964764028158437969 + 3.0888722365561492004e-829j)  +/-  (3.31e-71, 7.37e-185j)
| (0.0064484652771501378168 + 1.3798215773214479736e-830j)  +/-  (3.31e-71, 7.37e-185j)
| (0.044818162362143430205 - 2.2956201495537735966e-828j)  +/-  (3.34e-74, 7.45e-188j)
| (0.042317419152287463559 + 2.3072118653019183608e-828j)  +/-  (8.02e-74, 1.79e-187j)
| (0.010103269662784628878 - 2.7330666868259066324e-830j)  +/-  (2.8e-71, 6.25e-185j)
| (0.047136979142592489722 - 5.1547602436807214935e-829j)  +/-  (2.91e-75, 6.48e-189j)
| (0.056693098730646992688 + 2.6100918068145809457e-828j)  +/-  (1.55e-76, 3.45e-190j)
| (0.03964764028158437969 - 2.340817802896037393e-828j)  +/-  (9.18e-74, 2.05e-187j)
| (0.047136979142592489722 + 2.3046438309777407067e-828j)  +/-  (1.37e-75, 3.05e-189j)
| (0.013720079313559935746 - 7.2367976738238082812e-828j)  +/-  (4.92e-73, 1.1e-186j)
| (0.044818162362143430205 + 4.3551388794614463336e-829j)  +/-  (1.12e-75, 2.49e-189j)
| (0.052858268788165706644 + 8.601734593551970091e-829j)  +/-  (2.22e-78, 4.96e-192j)
| (0.055797477000477633074 - 3.6169620055474902649e-828j)  +/-  (1.28e-78, 2.86e-192j)
| (0.049260262068631659913 - 2.3341841863893372568e-828j)  +/-  (2.1e-77, 4.69e-191j)
| (0.056818055621333392527 - 3.0487887065097786452e-828j)  +/-  (7.84e-79, 1.75e-192j)
| (0.05545720760455018556 + 1.2323942182319490348e-828j)  +/-  (1.01e-79, 2.24e-193j)
| (0.049260262068631659913 + 6.1017221832469444654e-829j)  +/-  (2.21e-78, 4.93e-192j)
| (0.056205857136552461906 - 3.0522448636419715335e-828j)  +/-  (4.95e-79, 1.1e-192j)
| (0.054295040508815119993 + 2.560574243628803038e-828j)  +/-  (1.31e-79, 2.92e-193j)
| (0.051173083098486319261 + 2.3852303259756411863e-828j)  +/-  (2.18e-79, 4.87e-193j)
| (0.056693098730646992688 - 3.4761942091013212538e-828j)  +/-  (9.68e-81, 2.16e-194j)
| (0.051173083098486319261 - 7.2340344793636252286e-829j)  +/-  (1.73e-80, 3.87e-194j)
| (0.056818055621333392527 + 1.7995069361970001362e-828j)  +/-  (3.5e-81, 7.82e-195j)
| (0.056205857136552461906 + 3.6196588376600606014e-828j)  +/-  (8.57e-81, 1.91e-194j)
| (0.052858268788165706644 - 2.4597518823001339952e-828j)  +/-  (5.94e-81, 1.32e-194j)
| (0.056942198395908620357 + 3.2660417557268435793e-828j)  +/-  (4.83e-81, 1.08e-194j)
| (0.056311438586613852941 - 1.4863973910898450568e-828j)  +/-  (3.39e-82, 7.67e-196j)
| (0.054295040508815119993 - 1.0270365391194066913e-828j)  +/-  (2.3e-82, 5.03e-196j)
