Starting with polynomial:
P : 16*t^4 - 48*t^2 + 12
Extension levels are: 4 10 18
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : 16*t^4 - 48*t^2 + 12
Solvable: 1
-------------------------------------------------
Trying to find an order 18 Kronrod extension for:
P2 : 16*t^14 - 3816/7*t^12 + 44964/7*t^10 - 225630/7*t^8 + 68715*t^6 - 108945/2*t^4 + 46845/4*t^2 - 2835/8
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 16*t^32 - 145880276916639796403374251/52431098359167264314725*t^30 + 1690260013507913278170899361837/8074389147311758704467650*t^28 - 145325868536576333709704149190181/16148778294623517408935300*t^26 + 317792788693620937263898185934755/1291902263569881392714824*t^24 - 11637126235344435787790483341866075/2583804527139762785429648*t^22 + 19028882673288851051971116120765393/335559029498670491614240*t^20 - 3664949469168123464050991266713353403/7382298648970750815513280*t^18 + 44616380610825570683052977964784550829/14764597297941501631026560*t^16 - 74804183090863790563102920048120107763/5905838919176600652410624*t^14 + 423410312254280518150564647398840816841/11811677838353201304821248*t^12 - 142488140088505333256723661438683784051/2147577788791491146331136*t^10 + 328454090406804103160453789439733850061/4295155577582982292662272*t^8 - 62459293157586099964924761942781562619/1227187307880852083617792*t^6 + 42572530290889973607125231398040112105/2454374615761704167235584*t^4 - 11917688480399429337305848980747769785/4908749231523408334471168*t^2 + 659823981998511440734350428572845975/9817498463046816668942336
-------------------------------------------------
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
Positive weights:   32 out of 32
Indefinite weights: 0 out of 32
Negative weights:   0 out of 32
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (-3.4571520583257229281 - 4.8873726778444623603e-464j)  +/-  (1.64e-120, 1.64e-120j)
| (3.911506869286660161 - 6.0799245092597807751e-472j)  +/-  (1.78e-120, 1.78e-120j)
| (-6.29286153679492875 - 5.7583166252760855605e-473j)  +/-  (3.42e-122, 3.42e-122j)
| (-4.9506627174242864016 - 1.2437142912663881879e-470j)  +/-  (7.19e-121, 7.19e-121j)
| (6.29286153679492875 - 6.0110992873653183484e-477j)  +/-  (3.13e-122, 3.13e-122j)
| (2.3166778458612639611 - 1.8263795455614736634e-474j)  +/-  (2.95e-121, 2.95e-121j)
| (4.4077656277646408453 - 6.73626869008122107e-474j)  +/-  (1.34e-120, 1.34e-120j)
| (-5.5596243897658457634 + 1.6129649641725276785e-475j)  +/-  (2.32e-121, 2.32e-121j)
| (5.5596243897658457634 - 4.0470692836207404164e-475j)  +/-  (2.49e-121, 2.49e-121j)
| (2.6796868514506472808 + 2.2926588358623184819e-474j)  +/-  (6.72e-121, 6.72e-121j)
| (1.3785286807108861352 + 1.6650467038411977789e-477j)  +/-  (9.28e-123, 9.28e-123j)
| (4.9506627174242864016 + 2.8044467638019299387e-475j)  +/-  (7.53e-121, 7.53e-121j)
| (-2.6796868514506472808 + 2.8335575522510195292e-474j)  +/-  (6.8e-121, 6.8e-121j)
| (-1.0363502036603261655 - 3.6805109156402490811e-482j)  +/-  (1e-123, 1e-123j)
| (1.9549400799817764349 - 1.7495903684199449419e-480j)  +/-  (1.16e-121, 1.16e-121j)
| (1.0363502036603261655 + 1.0109513693091626488e-482j)  +/-  (1.07e-123, 1.07e-123j)
| (0.18980675578014987883 + 4.6731670933345624817e-485j)  +/-  (8.55e-127, 8.55e-127j)
| (-3.0486879132310133212 + 4.19209390240910356e-478j)  +/-  (1.26e-120, 1.26e-120j)
| (-1.3785286807108861352 + 5.4876459020069750648e-484j)  +/-  (8.08e-123, 8.08e-123j)
| (-4.4077656277646408453 + 8.1335417629418626488e-489j)  +/-  (1.3e-120, 1.3e-120j)
| (3.0486879132310133212 + 1.456695565311382214e-497j)  +/-  (1.29e-120, 1.29e-120j)
| (0.52464762327529031788 - 4.2434945120768585817e-503j)  +/-  (2.28e-125, 2.28e-125j)
| (3.4571520583257229281 + 1.0260500611123383103e-500j)  +/-  (1.76e-120, 1.76e-120j)
| (-3.911506869286660161 - 7.9169495848991073389e-501j)  +/-  (1.68e-120, 1.68e-120j)
| (-1.6506801238857845559 - 8.080165069965580341e-506j)  +/-  (3.44e-122, 3.44e-122j)
| (-2.3166778458612639611 - 3.9575601609758877871e-515j)  +/-  (3.18e-121, 3.18e-121j)
| (0.72252827051992375674 + 1.2036352683271715801e-525j)  +/-  (1.37e-124, 1.37e-124j)
| (1.6506801238857845559 - 9.4082360153276087304e-526j)  +/-  (3.49e-122, 3.49e-122j)
| (-1.9549400799817764349 - 2.9775421241633397924e-528j)  +/-  (1.09e-121, 1.09e-121j)
| (-0.72252827051992375674 - 1.1775197282502431236e-533j)  +/-  (1.42e-124, 1.42e-124j)
| (-0.52464762327529031788 + 2.9639501572604646959e-534j)  +/-  (2.33e-125, 2.33e-125j)
| (-0.18980675578014987883 + 1.9507910648251778014e-536j)  +/-  (1.07e-126, 1.07e-126j)
-------------------------------------------------
The weights are:
| (1.5725732046705490252e-06 - 4.4507713359718554186e-469j)  +/-  (2.72e-32, 2.2e-91j)
| (6.0795468869808927002e-08 - 7.5857105865658266799e-472j)  +/-  (1.17e-34, 9.48e-94j)
| (3.0211486237565001668e-18 - 3.8358145906997774685e-478j)  +/-  (7.91e-41, 6.38e-100j)
| (7.3093644396397136569e-12 - 6.6279276722749847697e-474j)  +/-  (1.57e-37, 1.27e-96j)
| (3.0211486237565001668e-18 - 1.1156144642614476275e-478j)  +/-  (6.18e-42, 4.99e-101j)
| (0.00096659232841869508151 - 4.0674849926979872336e-468j)  +/-  (2.64e-30, 2.13e-89j)
| (1.0664854258111884894e-09 + 3.6838884752442627487e-473j)  +/-  (2.42e-37, 1.96e-96j)
| (1.3928689238056110879e-14 + 8.6751193242270916128e-476j)  +/-  (1.1e-40, 8.87e-100j)
| (1.3928689238056110879e-14 + 2.02280710042956079e-476j)  +/-  (9.45e-41, 7.63e-100j)
| (0.00015467800388788332597 + 7.5408364984510318205e-469j)  +/-  (1.68e-33, 1.35e-92j)
| (0.026162183935436707454 + 1.6561032805477749968e-466j)  +/-  (9.56e-29, 7.72e-88j)
| (7.3093644396397136569e-12 - 1.1773428000221089155e-474j)  +/-  (3.19e-39, 2.57e-98j)
| (0.00015467800388788332597 - 5.9522792967547811274e-468j)  +/-  (6.97e-36, 5.62e-95j)
| (0.068571425125434216162 + 6.7190228943956312035e-466j)  +/-  (8.96e-29, 7.23e-88j)
| (0.0042731876087688043403 + 2.1171737655367712424e-467j)  +/-  (4.45e-32, 3.59e-91j)
| (0.068571425125434216162 - 3.619765162117945662e-466j)  +/-  (2.69e-29, 2.17e-88j)
| (0.20418455708527829005 + 8.087949356926598236e-466j)  +/-  (5.42e-30, 4.38e-89j)
| (1.9963301526817856023e-05 + 1.7871655355586599161e-468j)  +/-  (6.64e-37, 5.36e-96j)
| (0.026162183935436707454 - 3.8527358634131646639e-466j)  +/-  (4.44e-32, 3.58e-91j)
| (1.0664854258111884894e-09 + 3.0478712042192933232e-472j)  +/-  (1.29e-40, 1.04e-99j)
| (1.9963301526817856023e-05 - 1.1220580387797601262e-469j)  +/-  (1.53e-36, 1.24e-95j)
| (0.10942399864513895115 - 1.1018742287581915863e-465j)  +/-  (1.06e-32, 8.59e-92j)
| (1.5725732046705490252e-06 + 1.1115725259671785996e-470j)  +/-  (1.28e-37, 1.03e-96j)
| (6.0795468869808927002e-08 - 1.2302396608789898328e-470j)  +/-  (6.05e-40, 4.89e-99j)
| (0.0096712922963073126487 + 2.1748291701653597121e-466j)  +/-  (1.26e-35, 1.02e-94j)
| (0.00096659232841869508151 + 2.0592282496796515022e-467j)  +/-  (2.17e-37, 1.75e-96j)
| (0.076570487227320059613 + 9.2458368973371284881e-466j)  +/-  (6.11e-35, 4.93e-94j)
| (0.0096712922963073126487 - 7.6916540254278677961e-467j)  +/-  (3.95e-36, 3.19e-95j)
| (0.0042731876087688043403 - 7.6276450289806553752e-467j)  +/-  (9.79e-37, 7.9e-96j)
| (0.076570487227320059613 - 1.4131612179951523456e-465j)  +/-  (2.91e-36, 2.35e-95j)
| (0.10942399864513895115 + 1.4961418025289131678e-465j)  +/-  (1.94e-36, 1.57e-95j)
| (0.20418455708527829005 - 9.0276403341107334454e-466j)  +/-  (1.28e-36, 1.01e-95j)
