Starting with polynomial:
P : 3/2*t^2 - 1/2
Extension levels are: 2 4 24
-------------------------------------------------
Trying to find an order 4 Kronrod extension for:
P1 : 3/2*t^2 - 1/2
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P2 : 3/2*t^6 - 25/14*t^4 + 45/98*t^2 - 1/98
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 3/2*t^30 - 5976898516713017708468405/562075502299892163741454*t^28 + 4130099124017197361162852025/121970383999076599531895518*t^26 - 6501903630552375566242425879825/101601329871230807410068966494*t^24 + 381516935947208721481097940823575/4775262503947847948273241425218*t^22 - 47347730144552188796555760732225/682180357706835421181891632174*t^20 + 1262792729297189609782606751726175/29333755381393923110821340183482*t^18 - 25694773441101670440826585426275/1334832375845894392390316256962*t^16 + 62552910884951418179666887658475/10106587988547486113812394516998*t^14 - 3692684928100209137907621136293825/2617606289033798903477410179902482*t^12 + 4061050124842197067196509858971435/18323244023236592324341871259317374*t^10 - 419489792361774637415641412233875/18323244023236592324341871259317374*t^8 + 116632356084481638420889735106475/81145794960047766007799715576976942*t^6 - 3874480752150145266522998348475/81145794960047766007799715576976942*t^4 + 967920273805290853377107475/1531052735095240868071692746735414*t^2 - 16201434640010468831825537/11592256422863966572542816510996706
-------------------------------------------------
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:
| (-0.98056638155134655011 - 1.0256975619883991144e-265j)  +/-  (2.22e-118, 2.22e-118j)
| (-0.99630068584206501385 - 7.6310332096491069386e-266j)  +/-  (8.65e-119, 8.65e-119j)
| (-0.91248695683407599658 - 2.145036943897102049e-267j)  +/-  (2.03e-118, 2.03e-118j)
| (0.99630068584206501385 + 1.0111928733152435493e-271j)  +/-  (8.48e-119, 8.48e-119j)
| (0.542047847949869028 - 5.5456615176693602483e-285j)  +/-  (9.42e-121, 9.42e-121j)
| (0.45914059471659977185 + 6.8118913124840323888e-289j)  +/-  (4.54e-122, 4.54e-122j)
| (0.95249531032932109025 + 1.8167074114660907969e-294j)  +/-  (2.51e-118, 2.51e-118j)
| (-0.86113225770363542512 + 2.5129298893118050511e-315j)  +/-  (1.05e-118, 1.05e-118j)
| (-0.57735026918962576451 + 1.3158973931758099472e-316j)  +/-  (2.37e-120, 2.37e-120j)
| (0.91248695683407599658 + 4.3995075521614110377e-315j)  +/-  (2.01e-118, 2.01e-118j)
| (0.79922869523492189954 - 1.1860774242144690247e-334j)  +/-  (4.11e-119, 4.11e-119j)
| (0.98056638155134655011 + 5.4787835820317581849e-344j)  +/-  (2.16e-118, 2.16e-118j)
| (-0.95249531032932109025 - 4.185873654091450841e-352j)  +/-  (2.6e-118, 2.6e-118j)
| (-0.79922869523492189954 + 3.085967116584953939e-353j)  +/-  (4.39e-119, 4.39e-119j)
| (-0.052239198747083744729 + 1.0197857244925557625e-363j)  +/-  (2.1e-127, 2.1e-127j)
| (0.86113225770363542512 + 1.6550073757779776325e-354j)  +/-  (1.03e-118, 1.03e-118j)
| (0.57735026918962576451 - 6.2174794390734790945e-360j)  +/-  (2.34e-120, 2.34e-120j)
| (-0.15655801081562154215 - 7.9942492060397462046e-368j)  +/-  (4.1e-126, 4.1e-126j)
| (-0.72786962000958103135 - 3.6960993400859159368e-359j)  +/-  (1.6e-119, 1.6e-119j)
| (-0.26011734650479527322 + 1.0009603942253298561e-364j)  +/-  (8.95e-125, 8.95e-125j)
| (0.36169737844803468332 + 4.8828853263212356243e-363j)  +/-  (1.92e-123, 1.92e-123j)
| (0.72786962000958103135 - 1.6058615217368419062e-360j)  +/-  (1.44e-119, 1.44e-119j)
| (-0.36169737844803468332 + 3.0265017979324151873e-366j)  +/-  (1.99e-123, 1.99e-123j)
| (-0.542047847949869028 + 7.7368083751117484095e-364j)  +/-  (9.33e-121, 9.33e-121j)
| (-0.45914059471659977185 - 1.6156230390535885984e-366j)  +/-  (4.55e-122, 4.55e-122j)
| (0.15655801081562154215 - 4.2177589705053880573e-370j)  +/-  (3.81e-126, 3.81e-126j)
| (0.64906245851136032247 - 1.207006154763151286e-366j)  +/-  (4.86e-120, 4.86e-120j)
| (0.26011734650479527322 + 8.7639705141491456988e-371j)  +/-  (9.32e-125, 9.32e-125j)
| (0.052239198747083744729 - 6.0561039064717344684e-374j)  +/-  (2.1e-127, 2.1e-127j)
| (-0.64906245851136032247 - 2.0663176161344131517e-369j)  +/-  (5.22e-120, 5.22e-120j)
-------------------------------------------------
The weights are:
| (0.021952825538132344523 + 1.0396738457627156353e-265j)  +/-  (7.74e-30, 4.55e-86j)
| (0.00948703529663450391 - 1.3928250434405991764e-265j)  +/-  (4.78e-30, 2.81e-86j)
| (0.045796124995128890051 - 5.8288499895577856063e-267j)  +/-  (2.18e-30, 1.28e-86j)
| (0.00948703529663450391 + 5.0843633718354851149e-269j)  +/-  (5.92e-32, 3.48e-88j)
| (0.058034690244317150087 - 4.8324909744354863586e-266j)  +/-  (2.88e-31, 1.69e-87j)
| (0.094007340439618187581 + 2.3314858566315283516e-266j)  +/-  (2.64e-31, 1.55e-87j)
| (0.034122315325899819682 + 4.152308002206784627e-268j)  +/-  (2.66e-32, 1.56e-88j)
| (0.056781388963084224899 - 2.9443020552689657482e-267j)  +/-  (8.86e-32, 5.2e-88j)
| (0.045062713535067388219 - 1.3510979370054781261e-265j)  +/-  (1.22e-32, 7.17e-89j)
| (0.045796124995128890051 - 7.8072678033779652932e-268j)  +/-  (1.24e-32, 7.28e-89j)
| (0.066848858781032834592 - 2.6019095322272536475e-267j)  +/-  (3.31e-33, 1.94e-89j)
| (0.021952825538132344523 - 1.8919494292663448057e-268j)  +/-  (1.24e-32, 7.26e-89j)
| (0.034122315325899819682 + 4.0345820551591173129e-266j)  +/-  (7.4e-33, 4.35e-89j)
| (0.066848858781032834592 + 1.1456836451835401446e-266j)  +/-  (1.74e-33, 1.02e-89j)
| (0.10445731772406711637 - 1.9817795240518417787e-266j)  +/-  (3.82e-35, 2.24e-91j)
| (0.056781388963084224899 + 1.4083481655788481986e-267j)  +/-  (1.9e-33, 1.12e-89j)
| (0.045062713535067388219 + 4.4361044591509944991e-266j)  +/-  (8.42e-34, 4.95e-90j)
| (0.10408587785451204884 + 2.2186785630805525111e-266j)  +/-  (1.18e-35, 6.96e-92j)
| (0.075584563274609116701 - 2.2143891555038437901e-266j)  +/-  (1.87e-35, 1.1e-91j)
| (0.10283035189764659309 - 2.6003778100469287077e-266j)  +/-  (3.45e-36, 2.03e-92j)
| (0.10000044929376295473 - 1.7336323886960955754e-266j)  +/-  (3.46e-36, 2.03e-92j)
| (0.075584563274609116701 + 5.2887537189269448127e-267j)  +/-  (9.52e-36, 5.59e-92j)
| (0.10000044929376295473 + 3.3752147195844498882e-266j)  +/-  (8.86e-37, 5.21e-93j)
| (0.058034690244317150087 + 1.3629850465405971242e-265j)  +/-  (6.49e-37, 3.81e-93j)
| (0.094007340439618187581 - 5.5199405843448054808e-266j)  +/-  (3.44e-37, 2.02e-93j)
| (0.10408587785451204884 - 1.6747904690025769681e-266j)  +/-  (8.02e-39, 4.71e-95j)
| (0.080948146836486826717 - 1.3712012623535579706e-266j)  +/-  (3.63e-38, 2.13e-94j)
| (0.10283035189764659309 + 1.6219738220361069866e-266j)  +/-  (7.25e-39, 4.26e-95j)
| (0.10445731772406711637 + 1.8051333542576121047e-266j)  +/-  (4.57e-39, 2.7e-95j)
| (0.080948146836486826717 + 4.8905672729662412299e-266j)  +/-  (3.47e-39, 1.87e-95j)
