Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 3 10 16
-------------------------------------------------
Trying to find an order 3 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P2 : 3/2*t^5 - 25/14*t^3 + 3/7*t
Solvable: 1
-------------------------------------------------
Trying to find an order 16 Kronrod extension for:
P3 : 3/2*t^15 - 61157207/11447800*t^13 + 3237322021/425329800*t^11 - 247214528/44659629*t^9 + 215329367/99243620*t^7 - 4051191133/9158768360*t^5 + 5596988947/137381525400*t^3 - 336966223/297659971700*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^31 - 24135998734469238497650064103845586035325060261368670474528478267493770574302188420592742945723389501829/2110754784762876642301244777525431508566298695531971616511014733990047524462261808447274669092735866600*t^29 + 265143374968266426611842735741825043497336618947978146563842767888449749340609911792565564296112882200126799/6728664102867098160327908101795570563007646981616819119113812769013473498480798192968222190133823395547480*t^27 - 5514252298615641237652892833572809903145453323459979339674789334981689811529509908097762742897261181088314779/67933627961638971811002918335436048953442589718246731491052917379462953590431135602083012496543409281969750*t^25 + 1815654980660337645128133589638855185429391054819592194661076004415388912869665033967593728026578424170974909/16304070710793353234640700400504651748826221532379215557852700171071108861703472544499922999170418227672740*t^23 - 1621666666241909906791420362913444806250309045570662048043054657933147649611009929973328257956032998673338111043/15111746930986639315481323962519920260064234375098265967926254880299734726686722943636928630274564164240324840*t^21 + 4882662751458619968661338855730389431558613066436511897740427320096188048806445735458590945789802246805376397/65418817883059044655763307197055931861749932359732753107905865282682834314661138284142548183006771273767640*t^19 - 127407259879347803771211267119948221885429298643500666900979846907384262644860965003751596826419174304236514513997/3361113848413393014367750261633706926113459768172701915264740667229974457274310486896209054710278344544926084620*t^17 + 986075383082418751024160790124119335007019746411593840511286217541941013987261762780243821752604632797591926114123/70138537513214774814527023842032796002279403103486235555303926570578437571650685013319421303439484866312501677585*t^15 - 704824874894669134556629698339676552635173194877571064293632895453828151173895548226800869717735847079758210957949/187036100035239399505405396912087456006078408275963294814143804188209166857735160035518456809171959643500004473560*t^13 + 71917427539808027755830761613668940019434171437247481665630510238522310222633487432080492898117798406072743364027/100711746172821215118295213721893245541734527533211004899923586870574166769549701557586861358784901346500002408840*t^11 - 33505840278406748486808000052783063590301322256698167739850113908498360729623257307894188515968901804958774893/363531704099755723020584327605764388987544417566403359932879257420521724970299724873642413995613948710628350941*t^9 + 104755493027990407361843472461017893071360756293386203692503758598416793872159639845391157561804411444090586817/13733419932657438425222074598439988028418344663619682486353216391441931832211322939670935639834304729068182146660*t^7 - 825248345212324203206930002800915399426408766685225089715951766311733576036174637895545156986437612035156819793/2256204703222293455572197969743712318954442337594662122758028407165460229577574482945939426544207205489772781237000*t^5 + 2692787839934812756934414300530831802040970709729486435955643450941753807667217861779207895662347639529669069/319970848820616162790238984800017383415357276967970264682047665016192541649183290308696864128087567324004139884520*t^3 - 662726916857432503304523419414504943015340500689767374869296672883663580552866686710291877494229447032276149/11145651233918129670526657970533938855634945147717630886424660331397373534113217945752940767128383595119477539310780*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:
| (-0.99755684099162916189 + 1.4337828055516328698e-408j)  +/-  (4.99e-118, 4.99e-118j)
| (-0.98560249447777344363 - 4.6977878178302340966e-410j)  +/-  (1.19e-117, 1.19e-117j)
| (-0.87981556361909695827 + 5.9712689834848282633e-410j)  +/-  (6.34e-118, 6.34e-118j)
| (0.99755684099162916189 - 4.8511713619006989079e-408j)  +/-  (5.14e-118, 5.14e-118j)
| (0.87981556361909695827 - 4.9745463071850909037e-416j)  +/-  (5.83e-118, 5.83e-118j)
| (0.92582009977255146157 + 6.6769297141058410632e-422j)  +/-  (1.05e-117, 1.05e-117j)
| (0.98560249447777344363 - 2.5835237512157527332e-432j)  +/-  (1.14e-117, 1.14e-117j)
| (-0.92582009977255146157 + 3.1208704065444643942e-444j)  +/-  (1.03e-117, 1.03e-117j)
| (-0.96164471382558818012 + 5.0130179263956181267e-445j)  +/-  (1.28e-117, 1.28e-117j)
| (0.96164471382558818012 + 5.1735227481641017201e-444j)  +/-  (1.4e-117, 1.4e-117j)
| (0.82637721956277310144 + 1.1995997782302141735e-452j)  +/-  (3.21e-118, 3.21e-118j)
| (0.3180805371211331955 + 3.4137793870840561067e-460j)  +/-  (5.73e-124, 5.73e-124j)
| (-0.82637721956277310144 - 8.6461562533290480264e-455j)  +/-  (2.96e-118, 2.96e-118j)
| (-0.76811744723031794103 + 7.3838312623789505281e-456j)  +/-  (1.3e-118, 1.3e-118j)
| (-1.8853741197002417811e-462 + 1.6967082281487028835e-462j)  +/-  (7.86e-461, 7.86e-461j)
| (0.70603108134469970334 - 3.7488489792141111919e-456j)  +/-  (4.36e-119, 4.36e-119j)
| (0.64231280095275026377 + 1.2960437695192644753e-463j)  +/-  (1.08e-119, 1.08e-119j)
| (-0.10898003677650292191 + 7.0765489339090490982e-472j)  +/-  (1.36e-126, 1.36e-126j)
| (-0.70603108134469970334 - 4.4870308505678478463e-465j)  +/-  (4.21e-119, 4.21e-119j)
| (-0.41440203197281422383 - 7.3765306710976107745e-470j)  +/-  (1.19e-122, 1.19e-122j)
| (0.41440203197281422383 + 1.1547797718899451614e-467j)  +/-  (1.26e-122, 1.26e-122j)
| (0.76811744723031794103 - 1.3866626812207445698e-466j)  +/-  (1.28e-118, 1.28e-118j)
| (0.10898003677650292191 - 8.0042405743589032649e-474j)  +/-  (1.21e-126, 1.21e-126j)
| (-0.50208751227016397988 - 5.3954062901548982552e-471j)  +/-  (1.86e-121, 1.86e-121j)
| (-0.57735026918962576451 - 2.2369302110792611464e-470j)  +/-  (1.86e-120, 1.86e-120j)
| (0.21567287737000955147 + 7.1132058347623722939e-476j)  +/-  (2.78e-125, 2.78e-125j)
| (0.57735026918962576451 - 1.8372841584551471455e-472j)  +/-  (1.83e-120, 1.83e-120j)
| (0.50208751227016397988 + 1.6068032116642909562e-475j)  +/-  (1.87e-121, 1.87e-121j)
| (-0.3180805371211331955 + 4.4604804675100501243e-478j)  +/-  (6.28e-124, 6.28e-124j)
| (-0.64231280095275026377 + 2.0351237175146188482e-477j)  +/-  (1.09e-119, 1.09e-119j)
| (-0.21567287737000955147 + 4.685687108516057323e-484j)  +/-  (2.49e-125, 2.49e-125j)
-------------------------------------------------
The weights are:
| (0.0065204942006548990507 + 1.5883172529869210329e-408j)  +/-  (1.02e-24, 9.1e-81j)
| (0.017801535610924902319 - 2.51224242533045359e-408j)  +/-  (6.63e-25, 5.9e-81j)
| (0.050237260526553838537 + 1.7196082333796572761e-408j)  +/-  (8.3e-26, 7.39e-82j)
| (0.0065204942006548990507 + 5.4059324393712522805e-408j)  +/-  (1.2e-25, 1.07e-81j)
| (0.050237260526553838537 + 4.6872788449886276362e-408j)  +/-  (5.2e-26, 4.63e-82j)
| (0.041297719160705516747 - 4.400485771739119763e-408j)  +/-  (3.78e-26, 3.36e-82j)
| (0.017801535610924902319 - 8.3010381118423028861e-408j)  +/-  (3.25e-26, 2.89e-82j)
| (0.041297719160705516747 - 1.454453372362299744e-408j)  +/-  (1.03e-26, 9.16e-83j)
| (0.030067066497469853018 + 1.6508720788495575412e-408j)  +/-  (1.69e-26, 1.5e-82j)
| (0.030067066497469853018 + 5.1225227432693328786e-408j)  +/-  (7.08e-27, 6.29e-83j)
| (0.056156558561722544945 - 5.6814441974801485783e-408j)  +/-  (4.07e-28, 3.62e-84j)
| (0.099679117101215643857 + 2.4132394268418797398e-408j)  +/-  (3.93e-30, 3.5e-86j)
| (0.056156558561722544945 - 2.297953054467782666e-408j)  +/-  (1.28e-28, 1.14e-84j)
| (0.060265930386640017159 + 3.0471027945582319435e-408j)  +/-  (2.78e-29, 2.47e-85j)
| (0.10937288541494493342 - 1.3111327110367603249e-408j)  +/-  (2.5e-31, 2.22e-87j)
| (0.063558458457676609622 - 8.5981613536374684692e-408j)  +/-  (2.15e-30, 1.91e-86j)
| (0.063434093384518399975 + 9.3255883837964003899e-408j)  +/-  (9.12e-31, 8.11e-87j)
| (0.10820040918188426576 + 1.3026303091692372629e-408j)  +/-  (2.26e-32, 2.01e-88j)
| (0.063558458457676609622 - 3.9582162086123550017e-408j)  +/-  (1.73e-31, 1.54e-87j)
| (0.092566545071073278387 - 2.264524239935061371e-408j)  +/-  (5.49e-33, 4.89e-89j)
| (0.092566545071073278387 - 3.5277827206605848585e-408j)  +/-  (1.19e-32, 1.06e-88j)
| (0.060265930386640017159 + 7.1106608110547929749e-408j)  +/-  (1.08e-31, 9.57e-88j)
| (0.10820040918188426576 + 1.4613125904110000534e-408j)  +/-  (6.05e-33, 5.38e-89j)
| (0.082065338048288410081 + 3.1968959064684941633e-408j)  +/-  (1.3e-33, 1.16e-89j)
| (0.068610810873177358528 - 4.2970875093968830867e-408j)  +/-  (1.35e-33, 1.2e-89j)
| (0.10485222023002199531 - 1.7955944613771543639e-408j)  +/-  (1.19e-33, 1.05e-89j)
| (0.068610810873177358528 - 8.0389080930073850034e-408j)  +/-  (9.21e-34, 8.19e-90j)
| (0.082065338048288410081 + 5.4908836746866352685e-408j)  +/-  (6e-34, 5.33e-90j)
| (0.099679117101215643857 + 1.7208478193750867678e-408j)  +/-  (4.65e-36, 4.16e-92j)
| (0.063434093384518399975 + 4.6245892585072110781e-408j)  +/-  (8.13e-36, 8.32e-92j)
| (0.10485222023002199531 - 1.4292583368285585811e-408j)  +/-  (3.98e-36, 3.39e-92j)
