Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 7 12
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Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
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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 12 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^25 - 6928106184746324894581315512976679482328342266559763705180719/735168202019863469406436857196124563202534174124088903691090*t^23 + 201083684594393124440583322386791208267008837336426702871953318/7719266121208566428767587000559307913626608828302933488756445*t^21 - 260337333957803484149403471256886697855562292406264704366858231/6248929717168839489954713286167058787221540480054755681374265*t^19 + 70130622862014812738727170537959171379272831483187238701816287/1644455188728641971040714022675541786110931705277567284572175*t^17 - 68622679486420521167736268964890316355283503920423109851199104/2350342153683702912504931488688890406540107477018335435342425*t^15 + 708071875351998020597501701925106937763240400929635949119445083/52177595811778204657609479048893367025190385989807046664601835*t^13 - 16675008603541931398772706802638371934434652693223451645390158487/3913319685883365349320710928667002526889278949235528499845137625*t^11 + 460896120201742883506054860858813568930305126284432207506273607/521775958117782046576094790488933670251903859898070466646018350*t^9 - 703883841418661696790344397343660206073782743813645133261046463/6087386178040790543387772555704226152938878365477488777536880750*t^7 + 73045218353475650896470109159708054232746259905594931794593691/8261452670198215737454834182741449778988477781719449055228623875*t^5 - 12268148599394307601938553422633865408463292895695583103086378/36114350244009343080873989427412623319578202874373591584285127225*t^3 + 1867881783378799504325750142512383331250657864096670754450149/421334086180109002610196543319813938728412366867691901816659817625*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:
| (-6.235898646218294909e-454 - 2.4476425935936495089e-454j)  +/-  (1.67e-452, 1.67e-452j)
| (-0.57735026918962576451 - 2.6098095955284596423e-455j)  +/-  (2.34e-122, 2.34e-122j)
| (-0.9625289246793762699 + 5.5108606351782205698e-451j)  +/-  (2.99e-119, 2.99e-119j)
| (0.99357596643668978371 - 4.9329290480356224117e-452j)  +/-  (2.71e-119, 2.71e-119j)
| (0.91248695683407599658 - 4.1647517304002491296e-464j)  +/-  (9.77e-120, 9.77e-120j)
| (0.77338516233180687365 + 1.8123160868126191796e-471j)  +/-  (9.6e-121, 9.6e-121j)
| (0.15655801081562154215 - 9.8469883809184027701e-478j)  +/-  (2.02e-126, 2.02e-126j)
| (-0.91248695683407599658 + 3.7792285393792494453e-472j)  +/-  (1.09e-119, 1.09e-119j)
| (0.98475192553972407787 - 1.041351433268435814e-474j)  +/-  (4.93e-119, 4.93e-119j)
| (-0.99357596643668978371 - 1.1112016033672111962e-480j)  +/-  (2.64e-119, 2.64e-119j)
| (0.84686151630201885349 - 2.0895001643002475797e-490j)  +/-  (3.63e-120, 3.63e-120j)
| (0.44729236411025178291 + 7.0384498089457357573e-498j)  +/-  (2.88e-123, 2.88e-123j)
| (-0.98475192553972407787 - 4.3565870056663828584e-491j)  +/-  (4.97e-119, 4.97e-119j)
| (-0.44729236411025178291 - 1.1705551535184195351e-496j)  +/-  (2.84e-123, 2.84e-123j)
| (-0.84686151630201885349 - 1.4250708434287918348e-493j)  +/-  (3.76e-120, 3.76e-120j)
| (0.68676206912120826524 - 5.6428924488832192663e-495j)  +/-  (2.15e-121, 2.15e-121j)
| (0.9625289246793762699 + 6.3534817864442728952e-505j)  +/-  (3.05e-119, 3.05e-119j)
| (-0.15655801081562154215 - 1.0029332195437050798e-517j)  +/-  (1.65e-126, 1.65e-126j)
| (-0.77338516233180687365 + 4.0931441528112338757e-516j)  +/-  (9.75e-121, 9.75e-121j)
| (-0.31191599086372579398 + 3.9354425853331356926e-519j)  +/-  (2.68e-124, 2.68e-124j)
| (0.35268668944600305388 + 1.0972685830834062399e-517j)  +/-  (7.71e-124, 7.71e-124j)
| (0.57735026918962576451 + 1.0857257889991285352e-519j)  +/-  (2.33e-122, 2.33e-122j)
| (0.31191599086372579398 - 2.2768475739553553297e-521j)  +/-  (2.69e-124, 2.69e-124j)
| (-0.35268668944600305388 - 3.6622706724828448522e-520j)  +/-  (8.25e-124, 8.25e-124j)
| (-0.68676206912120826524 - 3.0547635876968504032e-520j)  +/-  (2.05e-121, 2.05e-121j)
-------------------------------------------------
The weights are:
| (0.15716920430229086047 + 3.0089892266614729454e-452j)  +/-  (7.54e-38, 3.34e-95j)
| (0.1204251848874056448 - 9.0805540935962687119e-452j)  +/-  (4.59e-38, 2.03e-95j)
| (0.039658964731924856277 - 4.8145108945757240446e-451j)  +/-  (1.42e-38, 6.31e-96j)
| (0.015460031834199119792 + 1.50615352854129868e-451j)  +/-  (4.66e-39, 2.07e-96j)
| (0.059238189322374085332 - 2.4545470620818556255e-452j)  +/-  (3.59e-39, 1.59e-96j)
| (0.077618536334324112419 - 2.4130570519837738213e-452j)  +/-  (1.37e-39, 6.08e-97j)
| (0.15539263363095808683 - 3.4015668761451638813e-452j)  +/-  (2.07e-39, 9.16e-97j)
| (0.059238189322374085332 - 3.7533151483366356746e-451j)  +/-  (6.09e-40, 2.7e-97j)
| (0.004108953550090680799 - 1.9255153009287127944e-451j)  +/-  (2.26e-39, 1e-96j)
| (0.015460031834199119792 - 3.8934491351411480463e-451j)  +/-  (1.32e-40, 5.85e-98j)
| (0.070375600553800905594 + 2.2662024552295044578e-452j)  +/-  (2.99e-40, 1.33e-97j)
| (0.14007284490775962091 + 5.8487794574586860983e-452j)  +/-  (3.02e-41, 1.34e-98j)
| (0.004108953550090680799 + 1.1310976960128375534e-450j)  +/-  (2.28e-40, 1.01e-97j)
| (0.14007284490775962091 + 1.415499248047331152e-451j)  +/-  (4.6e-42, 2.04e-99j)
| (0.070375600553800905594 + 2.0061165325822251333e-451j)  +/-  (9.12e-42, 4.04e-99j)
| (0.097661865299721805736 + 2.422290996278571286e-452j)  +/-  (6.87e-42, 3.04e-99j)
| (0.039658964731924856277 + 5.5689149291198912513e-452j)  +/-  (4.7e-41, 2.08e-98j)
| (0.15539263363095808683 - 4.6231279626471623043e-452j)  +/-  (7.33e-43, 3.25e-100j)
| (0.077618536334324112419 - 1.492912687933966264e-451j)  +/-  (4.12e-43, 1.83e-100j)
| (0.16613811124476037868 + 2.5042827015772992805e-451j)  +/-  (6.05e-43, 2.68e-100j)
| (-0.024735518448464727395 - 1.6027754844819500472e-451j)  +/-  (2.53e-43, 1.12e-100j)
| (0.1204251848874056448 - 2.7475029942179506179e-452j)  +/-  (8.06e-44, 3.57e-101j)
| (0.16613811124476037868 + 1.3743853332173757734e-451j)  +/-  (1.81e-43, 7.99e-101j)
| (-0.024735518448464727395 - 3.1707471605265157107e-451j)  +/-  (4.28e-44, 1.93e-101j)
| (0.097661865299721805736 + 1.0963294054231519211e-451j)  +/-  (5.42e-45, 2.33e-102j)
