Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 48
-------------------------------------------------
Trying to find an order 48 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 4*t^50 - 690785532487261846159174451762/292195665583528468474853233*t^48 + 187725054971155862364498292114068/292195665583528468474853233*t^46 - 1354864423356779130840820416234390/12704159373196889933689271*t^44 + 307873555992668818018679211241538355/25408318746393779867378542*t^42 - 50854392583343303788401456654315406395/50816637492787559734757084*t^40 + 3165042323608687412409112953634464023835/50816637492787559734757084*t^38 - 15986902540586031843881265045045969340545/5349119736082901024711272*t^36 + 4801953131760735519984023910577578084858075/42792957888663208197690176*t^34 - 284740659041764959570066341692527126577372275/85585915777326416395380352*t^32 + 1674989351796753244712330196346121692364598825/21396478944331604098845088*t^30 - 62663198057048656994478031570580019270729813825/42792957888663208197690176*t^28 + 3722555392825401447545922065996221975452699196575/171171831554652832790760704*t^26 - 87433232701418437610993203576147568421235503054375/342343663109305665581521408*t^24 + 806339722881703841900049504237840219210656186773125/342343663109305665581521408*t^22 - 11562898740681159501172756427666277865344661188958125/684687326218611331163042816*t^20 + 1017275746153487584523051296556632553710295624652961875/10954997219497781298608685056*t^18 - 8424685007480385147912216592364718391915635927194116875/21909994438995562597217370112*t^16 + 12823147165965636725194952526199573000731018720852628125/10954997219497781298608685056*t^14 - 55582573231818638765901500522438947194342489030038803125/21909994438995562597217370112*t^12 + 328343535719008062386105675989064442742212968683665440625/87639977755982250388869480448*t^10 - 621090188802885233394131675421496787146640378076588815625/175279955511964500777738960896*t^8 + 342737237041388393793296210551362579901797342074296528125/175279955511964500777738960896*t^6 - 189283867191127353539145942935543433664805862397138453125/350559911023929001555477921792*t^4 + 155043449355262276343533487685415619567569979963213953125/2804479288191432012443823374336*t^2 - 4832121260775887965916841297411512218813363901171578125/5608958576382864024887646748672
-------------------------------------------------
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
Positive weights:   50 out of 50
Indefinite weights: 0 out of 50
Negative weights:   0 out of 50
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-7.3857729073461294978 + 2.1289758295758494244e-939j)  +/-  (4.38e-244, 4.38e-244j)
| (-9.0866568908576914489 + 1.7321935966964285206e-948j)  +/-  (1.28e-246, 1.28e-246j)
| (8.4251558190820011115 - 7.7036680933283142959e-950j)  +/-  (1.74e-245, 1.74e-245j)
| (-5.3291351418141261301 + 1.8711230341559447907e-946j)  +/-  (2.86e-243, 2.86e-243j)
| (-6.5054046828076796016 + 5.0919543524692871161e-952j)  +/-  (2.03e-243, 2.03e-243j)
| (7.8764237713898694781 + 9.0218789205467040902e-957j)  +/-  (1.14e-244, 1.14e-244j)
| (2.9047828458519419929 - 4.349420999055910244e-958j)  +/-  (5.49e-246, 5.49e-246j)
| (-8.4251558190820011115 + 7.9359306961920097425e-959j)  +/-  (1.94e-245, 1.94e-245j)
| (-7.8764237713898694781 - 1.1710053347564261063e-957j)  +/-  (1.13e-244, 1.13e-244j)
| (6.0985090736452690827 + 9.1340413732132147073e-955j)  +/-  (2.66e-243, 2.66e-243j)
| (1.3129732773430249929 - 3.0328422309090648423e-963j)  +/-  (5.19e-250, 5.19e-250j)
| (-2.9047828458519419929 - 7.2313799277988437339e-956j)  +/-  (5.68e-246, 5.68e-246j)
| (9.0866568908576914489 + 1.1719181976386395077e-961j)  +/-  (1.25e-246, 1.25e-246j)
| (-4.2516156955084426505 - 9.3068235305684375948e-958j)  +/-  (5.98e-244, 5.98e-244j)
| (-5.707414337660314046 + 1.1497168584429847913e-959j)  +/-  (3.07e-243, 3.07e-243j)
| (4.9614702870320061391 + 9.9996684636438468411e-969j)  +/-  (2.07e-243, 2.07e-243j)
| (1.6240231940942744398 - 6.2679803413251101233e-980j)  +/-  (4.54e-249, 4.54e-249j)
| (-3.9070449877913290869 + 3.5732556046923306767e-973j)  +/-  (2.49e-244, 2.49e-244j)
| (3.2342672901157022972 - 1.4276533290229793192e-984j)  +/-  (2.41e-245, 2.41e-245j)
| (-2.2573718131979738247 - 7.6708775723492414263e-983j)  +/-  (2.34e-247, 2.34e-247j)
| (-6.0985090736452690827 - 6.0715597167630042945e-991j)  +/-  (3e-243, 3e-243j)
| (3.5681637923759110391 + 8.2580795612542683522e-1003j)  +/-  (8.54e-245, 8.54e-245j)
| (-4.9614702870320061391 - 5.7174895628020499715e-1007j)  +/-  (1.94e-243, 1.94e-243j)
| (6.5054046828076796016 - 3.4601398222085768811e-1018j)  +/-  (2.14e-243, 2.14e-243j)
| (-6.9323460016171649277 - 1.7448460926662271634e-1017j)  +/-  (1.09e-243, 1.09e-243j)
| (5.3291351418141261301 - 8.5913041617325009494e-1018j)  +/-  (2.65e-243, 2.65e-243j)
| (5.707414337660314046 + 1.1506463788814500827e-1021j)  +/-  (2.99e-243, 2.99e-243j)
| (6.9323460016171649277 + 2.5236187773375559305e-1025j)  +/-  (1.06e-243, 1.06e-243j)
| (4.6027375925995422283 + 1.3542943514203948063e-1021j)  +/-  (1.2e-243, 1.2e-243j)
| (-1.006728831063473031 - 1.8495840291491928007e-1031j)  +/-  (4.77e-251, 4.77e-251j)
| (-0.7071067811865475244 + 1.3762561964141199139e-1031j)  +/-  (3.64e-252, 3.64e-252j)
| (7.3857729073461294978 + 1.9087824485537326663e-1024j)  +/-  (4.26e-244, 4.26e-244j)
| (0.7071067811865475244 + 1.5396991957107188408e-1032j)  +/-  (3.61e-252, 3.61e-252j)
| (2.2573718131979738247 - 2.3858677016930495083e-1028j)  +/-  (2.04e-247, 2.04e-247j)
| (-1.6240231940942744398 - 5.7248503544334055433e-1030j)  +/-  (4.3e-249, 4.3e-249j)
| (2.5792593581796790393 + 1.4312090367515815377e-1027j)  +/-  (1.26e-246, 1.26e-246j)
| (4.2516156955084426505 - 1.1371426243752248607e-1023j)  +/-  (5.74e-244, 5.74e-244j)
| (0.13715624332654716997 + 9.6412244546008914576e-1035j)  +/-  (2.3e-254, 2.3e-254j)
| (1.006728831063473031 + 2.5880827288148331844e-1031j)  +/-  (5.02e-251, 5.02e-251j)
| (-2.5792593581796790393 - 1.8764156386365919659e-1024j)  +/-  (1.19e-246, 1.19e-246j)
| (-1.3129732773430249929 - 9.8455104189720110797e-1035j)  +/-  (5.04e-250, 5.04e-250j)
| (-1.9389468815385042127 - 3.9091490866613933813e-1031j)  +/-  (3.36e-248, 3.36e-248j)
| (-4.6027375925995422283 - 3.4284939944925183636e-1030j)  +/-  (1.18e-243, 1.18e-243j)
| (1.9389468815385042127 + 1.6339041884816766331e-1047j)  +/-  (3.41e-248, 3.41e-248j)
| (-3.2342672901157022972 + 6.0851418527242361241e-1045j)  +/-  (2.53e-245, 2.53e-245j)
| (-0.41680002000534661492 + 7.1468126696735353465e-1064j)  +/-  (3.09e-253, 3.09e-253j)
| (-3.5681637923759110391 + 1.592535042917710567e-1061j)  +/-  (8.94e-245, 8.94e-245j)
| (-0.13715624332654716997 + 3.8656761517580690818e-1073j)  +/-  (2.3e-254, 2.3e-254j)
| (0.41680002000534661492 + 4.8785732162891563123e-1073j)  +/-  (2.44e-253, 2.44e-253j)
| (3.9070449877913290869 - 6.177981725377484844e-1071j)  +/-  (2.63e-244, 2.63e-244j)
-------------------------------------------------
The weights are:
| (5.4031515100708110556e-25 + 8.665453248727808261e-963j)  +/-  (1.67e-80, 3.24e-200j)
| (5.9659601630271217566e-37 + 5.7143840804815716736e-970j)  +/-  (2.88e-85, 5.59e-205j)
| (4.9528818609245307557e-32 - 1.8729318313222839502e-968j)  +/-  (1.87e-85, 3.63e-205j)
| (9.7478113175018869015e-14 - 2.2732586281620878566e-958j)  +/-  (5.54e-75, 1.07e-194j)
| (9.7976954542172142706e-20 + 6.4365064610435142553e-961j)  +/-  (1.26e-78, 2.43e-198j)
| (3.3134720288993336763e-28 + 1.6964084105331306908e-966j)  +/-  (9.35e-85, 1.81e-204j)
| (4.0001952839124456011e-05 - 2.3065452264436084484e-954j)  +/-  (2.71e-66, 5.25e-186j)
| (4.9528818609245307557e-32 - 2.9137993008909365659e-967j)  +/-  (4.1e-84, 7.96e-204j)
| (3.3134720288993336763e-28 + 5.4187498014669609447e-965j)  +/-  (1.46e-82, 2.83e-202j)
| (1.5832884509256104017e-17 + 5.4027762234995297226e-961j)  +/-  (1.2e-81, 2.32e-201j)
| (0.031082332519872344565 + 1.5227348554316657168e-952j)  +/-  (3.55e-55, 6.88e-175j)
| (4.0001952839124456011e-05 + 5.2082001612445765626e-954j)  +/-  (1.97e-68, 3.81e-188j)
| (5.9659601630271217566e-37 + 5.7889831213308205949e-971j)  +/-  (5.15e-89, 9.98e-209j)
| (2.7682484111755819167e-09 + 4.1668047640920480779e-956j)  +/-  (2.17e-74, 4.2e-194j)
| (1.5456011378360706024e-15 + 5.2967915913808292811e-959j)  +/-  (3.03e-78, 5.88e-198j)
| (4.1744623234530289695e-12 - 3.7094171635124818344e-958j)  +/-  (7.96e-80, 1.54e-199j)
| (0.012637405254928523639 - 7.8944761668287975727e-953j)  +/-  (8.91e-63, 1.73e-182j)
| (4.5230662285645631009e-08 - 1.6695898543367116387e-955j)  +/-  (6.01e-74, 1.17e-193j)
| (5.3593933870378179463e-06 + 7.3892435167227450852e-955j)  +/-  (3.79e-73, 7.34e-193j)
| (0.0011059148604732560085 + 3.0396131618762305701e-953j)  +/-  (3.72e-68, 7.2e-188j)
| (1.5832884509256104017e-17 - 6.1106243970976421219e-960j)  +/-  (1.32e-79, 2.57e-199j)
| (5.6076715657056332076e-07 - 2.1095905434426032182e-955j)  +/-  (1.96e-75, 3.79e-195j)
| (4.1744623234530289695e-12 + 1.6043783916841967034e-957j)  +/-  (4.3e-77, 8.33e-197j)
| (9.7976954542172142706e-20 - 3.8713300748545062883e-962j)  +/-  (3.5e-85, 6.78e-205j)
| (3.331751752105275715e-22 - 6.7590133964688597537e-962j)  +/-  (1.46e-82, 2.83e-202j)
| (9.7478113175018869015e-14 + 5.1324848190440467685e-959j)  +/-  (2.56e-82, 4.96e-202j)
| (1.5456011378360706024e-15 - 5.8677089977216235607e-960j)  +/-  (2.52e-83, 4.89e-203j)
| (3.331751752105275715e-22 + 2.0571072952443563035e-963j)  +/-  (3.59e-87, 6.97e-207j)
| (1.2609916882561830971e-10 + 2.2593128601113988206e-957j)  +/-  (6.05e-82, 1.17e-201j)
| (0.062111934770884281984 + 3.5422415176108625888e-952j)  +/-  (4.47e-72, 8.67e-192j)
| (0.10109968994601713105 - 5.3166297075100131294e-952j)  +/-  (4.53e-72, 8.78e-192j)
| (5.4031515100708110556e-25 - 7.5426916361077915447e-965j)  +/-  (1.21e-88, 2.34e-208j)
| (0.10109968994601713105 + 4.4004350002281643883e-952j)  +/-  (6.27e-73, 1.22e-192j)
| (0.0011059148604732560085 - 1.6347678190254639986e-953j)  +/-  (4.33e-77, 8.4e-197j)
| (0.012637405254928523639 + 1.2255069541408244626e-952j)  +/-  (1.98e-76, 3.83e-196j)
| (0.00023568906043278753244 + 6.4613086496684712894e-954j)  +/-  (6.58e-78, 1.28e-197j)
| (2.7682484111755819167e-09 - 1.1780024691191643675e-956j)  +/-  (7.98e-82, 1.55e-201j)
| (0.1524465282917771039 + 8.069190800098352565e-952j)  +/-  (1.18e-74, 2.28e-194j)
| (0.062111934770884281984 - 2.7038864770467872613e-952j)  +/-  (1.03e-74, 2e-194j)
| (0.00023568906043278753244 - 1.3212797694176433763e-953j)  +/-  (9.02e-80, 1.75e-199j)
| (0.031082332519872344565 - 2.1687995730535299383e-952j)  +/-  (1.04e-76, 2.02e-196j)
| (0.0041623709333747713578 - 6.3754385951734038827e-953j)  +/-  (2.65e-78, 5.13e-198j)
| (1.2609916882561830971e-10 - 9.0183658468664432185e-957j)  +/-  (3.21e-84, 6.23e-204j)
| (0.0041623709333747713578 + 3.7581549516666739826e-953j)  +/-  (4.37e-79, 8.46e-199j)
| (5.3593933870378179463e-06 - 1.8510283152599599571e-954j)  +/-  (2.93e-82, 5.65e-202j)
| (0.13507216411957369951 + 7.1835769350843883432e-952j)  +/-  (1.27e-78, 2.24e-198j)
| (5.6076715657056332076e-07 + 5.8944458774883181456e-955j)  +/-  (6.61e-83, 1.29e-202j)
| (0.1524465282917771039 - 8.3698797865389478966e-952j)  +/-  (8.95e-79, 1.56e-198j)
| (0.13507216411957369951 - 6.4270697807344235188e-952j)  +/-  (3.81e-79, 6.08e-199j)
| (4.5230662285645631009e-08 + 5.3253945582014705811e-956j)  +/-  (9.53e-84, 1.98e-203j)
