Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 7 26
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Trying to find an order 7 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 26 Kronrod extension for:
P2 : 3/2*t^9 - 151/50*t^7 + 1281/650*t^5 - 651/1430*t^3 + 56/2145*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^35 - 312853898935481831785901007190647975576110829747241014143/24275882682476806243254855773553737039558365105738267150*t^33 + 943868995230736288783653597588505947913015489054252362285813/18619602017459710388576474378315716309341266036101250904050*t^31 - 1203266758496823265838538249425658559517779704600014467538488905/9948080965888374066408638730846520909754851617768176333015834*t^29 + 40121607428700632287486987585911028570271722094759163772480136488001/205179169921447715119678173823709493763693814616468636868451576250*t^27 - 63181700618368390730312959153337701591688220167713043122560849068259/278833230918890484649819056734784696653224927555713788564818808750*t^25 + 2165622758106695812026726297915148698012259772197940656513026595959/11153329236755619385992762269391387866128997102228551542592752350*t^23 - 888100666623448989170654684583512466048150968843167279861974904707/7097573150662666881995394171430883187536634519599987345286296950*t^21 + 30635703548453228621552889725281809793141058480066151056444709987/501632989595707283389148159484588736562739582588269782298430010*t^19 - 7646404723018122154254190808256561960782479742542475885518250619/338941209186288704992667675327424822001851069316398501552993250*t^17 + 78462239490981956688565441158449264622436906914560397603634552851/12540824739892682084728703987114718414068489564706744557460750250*t^15 - 3215390992540735555067070153961838470432141205403553787333315463/2508164947978536416945740797422943682813697912941348911492150050*t^13 + 8947508570668281630415293559081605842525671807096452346840539/47323866942991253149919637687225352505918828546063187009285850*t^11 - 630762889392341850125209328494042931774006392264767830643753478229/32722021544317581802757523591339207874724065711815426169108887982310*t^9 + 7304151351568216372757674539044360217594477773795097490154887001847/5726353770255576815482566628484361378076711499567699579594055396904250*t^7 - 5775106543962584532833747594057056606136369305160933309322398330751/116981227020935354944858146839037668152138534919740148554564274536758250*t^5 + 10790922049005044898728184112420097746544896101811422527096937153/11698122702093535494485814683903766815213853491974014855456427453675825*t^3 - 61996388165118553729415070979058964971198067811201745493426672/11698122702093535494485814683903766815213853491974014855456427453675825*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:
| (-0.96392874096524810675 - 1.6219038179478568011e-438j)  +/-  (3.17e-116, 3.17e-116j)
| (-0.99718277998678323204 - 4.474294425357130913e-441j)  +/-  (7.49e-117, 7.49e-117j)
| (-0.89640392327033092403 + 1.1104608142984901998e-454j)  +/-  (2.48e-116, 2.48e-116j)
| (0.98521265160168510658 + 2.6940186052132555495e-464j)  +/-  (2.26e-116, 2.26e-116j)
| (0.85539466086146003374 - 4.8621471842040930558e-466j)  +/-  (2.05e-116, 2.05e-116j)
| (0.89640392327033092403 - 9.7894950765122821747e-465j)  +/-  (2.72e-116, 2.72e-116j)
| (0.99718277998678323204 - 1.0985485526430456637e-465j)  +/-  (7.77e-117, 7.77e-117j)
| (-0.85539466086146003374 - 3.2012101462215122017e-470j)  +/-  (2.06e-116, 2.06e-116j)
| (-0.09826138288004127119 + 2.3471401457437817507e-490j)  +/-  (8.82e-127, 8.82e-127j)
| (0.93388005424482179858 - 1.2191450916247788801e-477j)  +/-  (3.31e-116, 3.31e-116j)
| (0.81641357233552832956 - 4.5971879688393630083e-480j)  +/-  (1.07e-116, 1.07e-116j)
| (0.96392874096524810675 + 2.9836319107994544317e-480j)  +/-  (3.11e-116, 3.11e-116j)
| (-0.93388005424482179858 - 9.5890044467553603482e-480j)  +/-  (3.08e-116, 3.08e-116j)
| (-0.81641357233552832956 - 2.3428925562984126248e-486j)  +/-  (1.04e-116, 1.04e-116j)
| (-0.46651230822694098198 - 4.8178578342847087885e-493j)  +/-  (5.02e-121, 5.02e-121j)
| (0.77012492944534850293 + 8.180602649736551548e-489j)  +/-  (3.28e-117, 3.28e-117j)
| (0.64287072202981674545 - 1.0566533517100432681e-491j)  +/-  (1.16e-118, 1.16e-118j)
| (-0.38164533009079265591 + 7.8545588853711744312e-495j)  +/-  (2.02e-122, 2.02e-122j)
| (-0.77012492944534850293 - 3.9312484140040004663e-489j)  +/-  (3.09e-117, 3.09e-117j)
| (-0.98521265160168510658 - 9.0702579222136567302e-492j)  +/-  (2.24e-116, 2.24e-116j)
| (0.46651230822694098198 - 3.6743772162175528638e-501j)  +/-  (5.03e-121, 5.03e-121j)
| (0.71052283639729775892 - 9.1273098287778802377e-500j)  +/-  (6.33e-118, 6.33e-118j)
| (0.19543247763682269959 + 4.5631267449200653657e-508j)  +/-  (2.58e-125, 2.58e-125j)
| (-0.64287072202981674545 + 2.3195506344931048291e-498j)  +/-  (1.3e-118, 1.3e-118j)
| (-0.71052283639729775892 - 7.6571868174163825942e-501j)  +/-  (5.98e-118, 5.98e-118j)
| (0.09826138288004127119 + 6.020390768932614549e-511j)  +/-  (8.82e-127, 8.82e-127j)
| (0.57735026918962576451 - 2.1321538743579431296e-502j)  +/-  (2.97e-119, 2.97e-119j)
| (0.38164533009079265591 + 2.5679944480302893201e-506j)  +/-  (2.08e-122, 2.08e-122j)
| (-0.19543247763682269959 - 7.0130854449457889746e-511j)  +/-  (2.52e-125, 2.52e-125j)
| (-0.57735026918962576451 - 2.2413984509922322327e-502j)  +/-  (2.83e-119, 2.83e-119j)
| (-0.29036229308829455553 - 3.5717664564441462697e-509j)  +/-  (7.7e-124, 7.7e-124j)
| (0.29036229308829455553 - 7.8069698615071288204e-509j)  +/-  (8.16e-124, 8.16e-124j)
| (0.53249197839333855249 + 8.2860207003321348863e-505j)  +/-  (7.38e-120, 7.38e-120j)
| (-6.8973974186196796535e-523 + 1.0957594064276112551e-522j)  +/-  (4.53e-521, 4.53e-521j)
| (-0.53249197839333855249 + 2.2174211649711449952e-508j)  +/-  (8.29e-120, 8.29e-120j)
-------------------------------------------------
The weights are:
| (0.025797035327758800239 - 1.0018806482709082828e-438j)  +/-  (6.77e-24, 4.06e-78j)
| (0.0072236228028151894538 + 1.3095902785921262388e-439j)  +/-  (2.03e-24, 1.22e-78j)
| (0.040270992454170729267 - 2.8912100349703268301e-438j)  +/-  (3.89e-24, 2.33e-78j)
| (0.016684784532632408904 + 9.1054253439273085353e-441j)  +/-  (2.32e-25, 1.39e-79j)
| (0.04030663326296809471 + 2.2687338831595987348e-439j)  +/-  (2.48e-25, 1.48e-79j)
| (0.040270992454170729267 - 1.0517428635189017356e-439j)  +/-  (2.34e-25, 1.4e-79j)
| (0.0072236228028151894538 - 2.338830908956172022e-441j)  +/-  (3.74e-26, 2.24e-80j)
| (0.04030663326296809471 + 3.7972047322038629061e-438j)  +/-  (4e-27, 2.4e-81j)
| (0.097900229128436600456 - 2.9192736055395273253e-439j)  +/-  (6.88e-28, 4.12e-82j)
| (0.034102172121700195983 + 4.7496565719610277142e-440j)  +/-  (4.63e-26, 2.78e-80j)
| (0.039862647250913917876 - 3.4930545171322197263e-439j)  +/-  (6.56e-27, 3.93e-81j)
| (0.025797035327758800239 - 2.185439772697138004e-440j)  +/-  (3.52e-26, 2.11e-80j)
| (0.034102172121700195983 + 2.9890380693830716594e-438j)  +/-  (8.25e-28, 4.94e-82j)
| (0.039862647250913917876 - 4.2108041500349648529e-438j)  +/-  (1.5e-28, 9e-83j)
| (0.079392508032817383393 - 1.8694128167615713028e-438j)  +/-  (3.01e-30, 1.8e-84j)
| (0.053615548176933477204 + 3.8873069407335813341e-439j)  +/-  (1.88e-28, 1.13e-82j)
| (0.069524737002619304439 + 6.0211634561698868154e-439j)  +/-  (3.69e-30, 2.21e-84j)
| (0.088800975081686067584 + 8.8082183278790228724e-439j)  +/-  (1.12e-30, 6.74e-85j)
| (0.053615548176933477204 + 3.4750275937141379805e-438j)  +/-  (6.9e-30, 4.14e-84j)
| (0.016684784532632408904 - 8.1763304944841043111e-439j)  +/-  (8.82e-30, 5.29e-84j)
| (0.079392508032817383393 - 6.5024593458211964706e-439j)  +/-  (8.8e-32, 5.27e-86j)
| (0.064573546528996700163 - 4.2455153398709621004e-439j)  +/-  (5.23e-30, 3.13e-84j)
| (0.0962524465614925926 + 2.4600977283570085672e-439j)  +/-  (1.24e-32, 7.44e-87j)
| (0.069524737002619304439 + 3.011849981018693705e-438j)  +/-  (9.09e-32, 5.45e-86j)
| (0.064573546528996700163 - 2.8034366975912442291e-438j)  +/-  (3.07e-31, 1.84e-85j)
| (0.097900229128436600456 - 2.3792709152218629312e-439j)  +/-  (2.84e-33, 1.7e-87j)
| (0.055304913943304071133 - 1.0814035638642344186e-438j)  +/-  (3.05e-32, 1.83e-86j)
| (0.088800975081686067584 + 3.8124698370653530046e-439j)  +/-  (3.12e-33, 1.87e-87j)
| (0.0962524465614925926 + 3.7109727325555838981e-439j)  +/-  (2.84e-34, 1.71e-88j)
| (0.055304913943304071133 - 4.3097649780204677163e-438j)  +/-  (7.74e-34, 4.65e-88j)
| (0.09338368054818543882 - 5.2848282615899633031e-439j)  +/-  (2.21e-34, 1.33e-88j)
| (0.09338368054818543882 - 2.8384284732724343667e-439j)  +/-  (9.81e-35, 5.88e-89j)
| (0.047782712836260822163 + 1.1352334891308086449e-438j)  +/-  (5.75e-34, 3.45e-88j)
| (0.098441628812616411224 + 2.5225693964449101417e-439j)  +/-  (3.52e-35, 2.09e-89j)
| (0.047782712836260822163 + 3.9361283851849427694e-438j)  +/-  (1.53e-34, 9.3e-89j)
