Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 7 22
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 7 Kronrod extension for:
P2 : 3/2*t^6 - 25/14*t^4 + 45/98*t^2 - 1/98
Solvable: 1
-------------------------------------------------
Trying to find an order 22 Kronrod extension for:
P3 : 3/2*t^13 - 11979409/2770390*t^11 + 54031549/11635638*t^9 - 751494029/329676410*t^7 + 11821062/23548315*t^5 - 193274/4709663*t^3 + 52009/70644945*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^35 - 7651123927412577219188054547294061564920487499977002402769003724663043870809966698303611644248487459643/593646861531982276591007572438810704830269528136005559877957795133143975686417941950363361589958764030*t^33 + 3253858211410930746748106840849962155545348128886783261536759479980059645674305669458406945951958301412264/64291955103913680554806120095123199333118189897129402134782829212919492566839063113224352060192534144449*t^31 - 7734963090972099558904353984980505370581682842253807836173237645210395683240373513428828667798076392772596761539/64299027218975111059667148768333662885044832898018086369017655324132913711021415410166806738919155323204889390*t^29 + 913143505768141606379739915674539032389595709307144100952405175509528983287708376571455903328711575437454345885679/4725978500594670662885535434472524222050795218004329348122797666323769157760074032647260295310557916255559370165*t^27 - 179393200159379779655659778298386620176298552542545494354697662507250252117483008488408028163526077053889059325717/809129792205237115588369099542815118380464590084598665471757811494984936164373262053514166562604255403642240175*t^25 + 513587483407516887258716335917861484660892793673557196300448985444752302892631680507062031477419889799498509995793735/2741137544841214090705653300667167345444602719704999974938602243470250167340217162254413152914128192286243035575258*t^23 - 7306751686007963025766993002367162232913356343357299508944512758518504192974890622424124144086676870232850006445602471/61675594758927317040877199265011265272503561193362499436118550478080628765154886150724295940567884326440468300443305*t^21 + 3485580004795259944900050808229921475466839183839471590097484368622627631165660626401158308156718429404273879351871/61830170184388287760277894000011293506269234279060149810645163386546996255794372080926612471747252457584429373878*t^19 - 415031326633429219700968696584947035204752400718711446834919952951204777329048072877937351573953287435210675939651/20610056728129429253425964666670431168756411426353383270215054462182332085264790693642204157249084152528143124626*t^17 + 1992185419885066157498878190421841430681629075475214028271946084817533817862476946006879442901348517713249847701561/372799555523517617378146125588303387317211559623745020917125249830651006836407243429116339903181963347200235930735*t^15 - 81704485180119082794830003487390322517797537256519094819298931701403997962556388703266778028394964673006664214231151/79083212378388870566484064774798758562891145514850443770552836330742100250229856572763212904795000491386076715439918*t^13 + 585547166716082909418605640325250785125250202945596433808865566255552849185481720207256310392645537137436849560450602/4151868649865415704740413400676934824551785139529648297954023907363960263137067470070068677501737525797769027560595695*t^11 - 32250581585731162774300647780151795800423081836385781745107377939990984844191833893861048919320547392201059980567140/2491121189919249422844248040406160894731071083717788978772414344418376157882240482042041206501042515478661416536357417*t^9 + 409297041569085719293720973107730570706549371915433156064401794833832695070091896662349135436492806996938032336271/553582486648722093965388453423591309940238018603953106393869854315194701751608996009342490333565003439702537008079426*t^7 - 4545837869802073574911998598589820258179455762971927941894534756649928440190158039005963326502699178554122716094/197708030945972176416210161936996896407227863787126109426382090826855250625574641431908032261987501228465191788599795*t^5 + 319281018470661795622251492725140410263016430616434231229999803896425967386133760562177046370113184289624122267/1067623367108249752647534874459783240599030464450480990902463290465018353378103063732303374214732506633712035658438893*t^3 - 6948505694782294973150945643955778526845043582759806029532725068283916589357915447592590217910627424869973719/8896861392568747938729457287164860338325253870420674924187194087208486278150858864435861451789437555280933630486990775*t
-------------------------------------------------
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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (-0.98475192553972407787 + 9.8576186045739618264e-439j)  +/-  (3.3e-116, 3.3e-116j)
| (-0.99709273520977188588 - 7.2923777377469317979e-442j)  +/-  (9.8e-117, 9.8e-117j)
| (-0.91248695683407599658 - 1.188744981306508119e-440j)  +/-  (7.25e-116, 7.25e-116j)
| (0.98475192553972407787 + 3.5694181116467991039e-443j)  +/-  (3.3e-116, 3.3e-116j)
| (0.88160092461578339358 - 4.3870106921550012314e-448j)  +/-  (2.9e-116, 2.9e-116j)
| (0.91248695683407599658 - 2.0802820117610730327e-450j)  +/-  (7.47e-116, 7.47e-116j)
| (0.99709273520977188588 - 4.2386813136897781046e-459j)  +/-  (1.08e-116, 1.08e-116j)
| (-0.88160092461578339358 - 4.8994164174640803395e-470j)  +/-  (2.6e-116, 2.6e-116j)
| (-0.058444232807117403757 - 1.1555447517101157158e-482j)  +/-  (2.75e-127, 2.75e-127j)
| (0.93445225121820346896 - 1.4162364042742536921e-468j)  +/-  (8.34e-116, 8.34e-116j)
| (0.83249527710209733962 + 3.7034445339949697537e-478j)  +/-  (5.54e-117, 5.54e-117j)
| (0.96299165841093658915 - 7.4414883523635382982e-487j)  +/-  (5.32e-116, 5.32e-116j)
| (-0.93445225121820346896 + 8.6333116141748284313e-491j)  +/-  (8.13e-116, 8.13e-116j)
| (-0.77338516233180687365 + 6.4137292506811165775e-496j)  +/-  (1.15e-117, 1.15e-117j)
| (-0.44400561654800262499 - 6.4367021472007275761e-500j)  +/-  (1.26e-121, 1.26e-121j)
| (0.77338516233180687365 + 6.7548157595588612928e-497j)  +/-  (1.19e-117, 1.19e-117j)
| (0.63629479026082362448 - 4.0681379678879459994e-498j)  +/-  (5.29e-119, 5.29e-119j)
| (-0.35268668944600305388 + 1.3708192515635071463e-502j)  +/-  (4.63e-123, 4.63e-123j)
| (-0.83249527710209733962 - 2.7646995775117381825e-494j)  +/-  (6.17e-117, 6.17e-117j)
| (-0.96299165841093658915 - 2.032808602743841637e-498j)  +/-  (5.02e-116, 5.02e-116j)
| (0.44400561654800262499 + 2.2128649541090801542e-507j)  +/-  (1.23e-121, 1.23e-121j)
| (0.70668509462315533726 - 3.0946555061429654241e-505j)  +/-  (2.26e-118, 2.26e-118j)
| (0.15655801081562154215 - 7.8452132615114865613e-513j)  +/-  (6.92e-126, 6.92e-126j)
| (-0.70668509462315533726 + 5.3200232311556926033e-504j)  +/-  (2.11e-118, 2.11e-118j)
| (-0.57735026918962576451 - 7.5888590386996415138e-505j)  +/-  (1.46e-119, 1.46e-119j)
| (0.058444232807117403757 - 3.1723708343247841265e-515j)  +/-  (2.75e-127, 2.75e-127j)
| (0.57735026918962576451 + 3.3872330079815896711e-508j)  +/-  (1.37e-119, 1.37e-119j)
| (0.35268668944600305388 + 6.6881040640777155179e-511j)  +/-  (5.43e-123, 5.43e-123j)
| (-0.15655801081562154215 - 1.5646647484352154178e-513j)  +/-  (7.32e-126, 7.32e-126j)
| (-0.63629479026082362448 + 5.2084778948323360538e-508j)  +/-  (5.26e-119, 5.26e-119j)
| (-0.25602755690081558925 + 4.0868642183356559012e-514j)  +/-  (1.62e-124, 1.62e-124j)
| (0.25602755690081558925 - 3.9256449005114330322e-514j)  +/-  (1.51e-124, 1.51e-124j)
| (0.52355034084086022328 + 2.4746778153505656176e-511j)  +/-  (2.27e-120, 2.27e-120j)
| (-8.9893357504165072486e-524 + 2.0097805804605817208e-523j)  +/-  (7.71e-522, 7.71e-522j)
| (-0.52355034084086022328 - 2.5265952349143478716e-511j)  +/-  (2.46e-120, 2.46e-120j)
-------------------------------------------------
The weights are:
| (0.017177176144627185976 + 8.4249042217595041574e-439j)  +/-  (3.68e-22, 4.95e-77j)
| (0.007453896898336703461 + 3.2387470725516660504e-439j)  +/-  (2.01e-22, 2.7e-77j)
| (0.019451814723997112833 - 3.3141324870768706677e-438j)  +/-  (5.97e-23, 8.03e-78j)
| (0.017177176144627185976 + 8.5871580810764411586e-441j)  +/-  (5.09e-23, 6.84e-78j)
| (0.042432544413568700278 + 1.0714365392349684421e-439j)  +/-  (2.42e-23, 3.25e-78j)
| (0.019451814723997112833 - 1.2630400133917100719e-439j)  +/-  (2.07e-23, 2.79e-78j)
| (0.007453896898336703461 - 2.0392981174010226211e-441j)  +/-  (2.68e-24, 3.6e-79j)
| (0.042432544413568700278 + 1.9438946753606320377e-438j)  +/-  (9.76e-25, 1.31e-79j)
| (0.09233507763492405262 - 8.1036551190862974983e-439j)  +/-  (5.89e-26, 7.92e-81j)
| (0.028407667405958933862 + 8.1016894260252138285e-440j)  +/-  (4.74e-24, 6.37e-79j)
| (0.054635164171026972576 - 8.3624781288458335344e-440j)  +/-  (1.97e-25, 2.65e-80j)
| (0.026066376127769224221 - 2.5425529874933161098e-440j)  +/-  (2.53e-24, 3.41e-79j)
| (0.028407667405958933862 + 3.0847628768963763142e-438j)  +/-  (2.28e-26, 3.07e-81j)
| (0.063262415550820616359 + 7.4746025345074002711e-439j)  +/-  (4.25e-28, 5.72e-83j)
| (0.087310952105290270063 - 5.6651710448848823627e-439j)  +/-  (5.29e-29, 7.11e-84j)
| (0.063262415550820616359 + 8.9799148604680297931e-440j)  +/-  (5.06e-27, 6.81e-82j)
| (0.068818175410918723421 + 2.2394848529818987201e-439j)  +/-  (2.15e-28, 2.89e-83j)
| (0.094500181534342279114 + 3.8486794314579407706e-439j)  +/-  (2.26e-29, 3.04e-84j)
| (0.054635164171026972576 - 9.9926208980313931233e-439j)  +/-  (4.52e-28, 6.09e-83j)
| (0.026066376127769224221 - 2.2788674889255134139e-438j)  +/-  (1.51e-27, 2.03e-82j)
| (0.087310952105290270063 - 2.1437707364296997987e-439j)  +/-  (1.1e-30, 1.47e-85j)
| (0.069625722700031902466 - 1.2433838741607357899e-439j)  +/-  (5.56e-29, 7.48e-84j)
| (0.10000866311030594655 + 2.9772203757052314792e-439j)  +/-  (1.74e-31, 2.34e-86j)
| (0.069625722700031902466 - 7.5668015405903265381e-439j)  +/-  (2.52e-30, 3.38e-85j)
| (0.047828868630422169708 - 1.3425843894513977598e-438j)  +/-  (4.72e-31, 6.35e-86j)
| (0.09233507763492405262 - 7.1955350691946098859e-439j)  +/-  (1.05e-31, 1.41e-86j)
| (0.047828868630422169708 - 3.5005926283439978469e-439j)  +/-  (4.08e-31, 5.49e-86j)
| (0.094500181534342279114 + 1.818652603093514127e-439j)  +/-  (4.88e-32, 6.56e-87j)
| (0.10000866311030594655 + 4.1030061070724061977e-439j)  +/-  (8.15e-33, 1.09e-87j)
| (0.068818175410918723421 + 1.0421692761191032203e-438j)  +/-  (1.72e-32, 2.3e-87j)
| (0.098443695258691430991 - 3.4300727101930137536e-439j)  +/-  (4.74e-33, 6.39e-88j)
| (0.098443695258691430991 - 2.0143656986761591495e-439j)  +/-  (2.01e-33, 2.71e-88j)
| (0.068018116850474262404 + 3.2370778919811040759e-439j)  +/-  (5.21e-33, 6.99e-88j)
| (0.028446982656987026184 + 1.1060917910931638983e-438j)  +/-  (4.95e-33, 6.74e-88j)
| (0.068018116850474262404 + 1.0588719245830091654e-438j)  +/-  (1.63e-33, 2.07e-88j)
