Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 32
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^35 - 2152343575622569/99710689090854*t^33 + 7077098875860244/83092240909045*t^31 - 131825955085436788/648119479090551*t^29 + 38926979365941668078/118605864673570833*t^27 - 337727958880905978/892683507557173*t^25 + 364989314507940003420/1136386105120281229*t^23 - 231872249241161093972/1136386105120281229*t^21 + 309327758415736440765/3169919135335521323*t^19 - 111133495631715804555/3169919135335521323*t^17 + 207938634077562654860/22189433947348649261*t^15 - 272673766849586147940/148986199360769502181*t^13 + 37814811791774667286/148986199360769502181*t^11 - 460012547284910539370/19219219717539265781349*t^9 + 2640407207891471040660/1838638686311256426415721*t^7 - 12926867343966558180/262662669473036632345103*t^5 + 200089254687957220795/252681488033061240315989086*t^3 - 6710008765992630747/1768770416231428682211923602*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:
| (-0.97058509342997881042 + 2.4560997800852074275e-441j)  +/-  (7.83e-116, 7.83e-116j)
| (-0.99771855138030178987 + 7.5273906758191351085e-445j)  +/-  (2.02e-116, 2.02e-116j)
| (-0.91324750733557018504 + 7.4421499218730482506e-452j)  +/-  (3.64e-116, 3.64e-116j)
| (0.98799776595712885907 - 7.189473162466141483e-459j)  +/-  (5.78e-116, 5.78e-116j)
| (0.87375177860588208012 - 1.7971575774136535021e-463j)  +/-  (1.61e-116, 1.61e-116j)
| (0.91324750733557018504 + 9.8760104834508834174e-461j)  +/-  (3.59e-116, 3.59e-116j)
| (0.99771855138030178987 + 4.8478199932493722912e-461j)  +/-  (2.15e-116, 2.15e-116j)
| (-0.87375177860588208012 + 3.8093681343151086831e-464j)  +/-  (1.68e-116, 1.68e-116j)
| (-0.088583092477471197031 + 6.0794749971556465791e-480j)  +/-  (1.28e-126, 1.28e-126j)
| (0.94560626618917950125 - 4.7151457604779739851e-468j)  +/-  (6.1e-116, 6.1e-116j)
| (0.82741743411427282291 - 7.1918880984963349413e-471j)  +/-  (5.5e-117, 5.5e-117j)
| (0.97058509342997881042 - 8.7282257393708762845e-471j)  +/-  (7.14e-116, 7.14e-116j)
| (-0.94560626618917950125 - 3.8411798285305422491e-477j)  +/-  (6.06e-116, 6.06e-116j)
| (-0.82741743411427282291 + 8.519726457959152127e-489j)  +/-  (5.61e-117, 5.61e-117j)
| (-0.42899368541162203977 - 1.1988871624986868207e-496j)  +/-  (8.01e-122, 8.01e-122j)
| (0.77459666924148337704 - 3.0760357757256302598e-492j)  +/-  (1.56e-117, 1.56e-117j)
| (0.6511612608819354611 - 6.3355497433004330742e-494j)  +/-  (6.24e-119, 6.24e-119j)
| (-0.34734453780830139881 + 9.0053302710078123655e-498j)  +/-  (5.78e-123, 5.78e-123j)
| (-0.77459666924148337704 - 2.1014051651486606546e-493j)  +/-  (1.63e-117, 1.63e-117j)
| (-0.98799776595712885907 + 1.1078712096212290621e-493j)  +/-  (5.55e-116, 5.55e-116j)
| (0.42899368541162203977 - 2.431379045145541978e-508j)  +/-  (8.16e-122, 8.16e-122j)
| (0.71569350813453201644 + 4.9868440621494420675e-505j)  +/-  (3.45e-118, 3.45e-118j)
| (0.17646378884506261747 + 5.1629176052964131422e-513j)  +/-  (1.7e-125, 1.7e-125j)
| (-0.6511612608819354611 + 2.3203420042695048762e-503j)  +/-  (6.2e-119, 6.2e-119j)
| (-0.71569350813453201644 - 3.8816795425416863713e-506j)  +/-  (3.58e-118, 3.58e-118j)
| (0.088583092477471197031 + 2.1399796656327722632e-515j)  +/-  (9.96e-127, 9.96e-127j)
| (0.58149943051071214796 + 4.3982936245719665635e-508j)  +/-  (8.88e-120, 8.88e-120j)
| (0.34734453780830139881 - 3.0091457368432116383e-512j)  +/-  (6.17e-123, 6.17e-123j)
| (-0.17646378884506261747 - 2.2021715650911772933e-514j)  +/-  (1.6e-125, 1.6e-125j)
| (-0.58149943051071214796 - 2.5741552990212473437e-509j)  +/-  (8.66e-120, 8.66e-120j)
| (-0.26294572582644463115 - 2.4380313863418394455e-514j)  +/-  (3.18e-124, 3.18e-124j)
| (0.26294572582644463115 + 2.0223338818540287293e-514j)  +/-  (3.3e-124, 3.3e-124j)
| (0.50725007926059899687 - 6.5207161165102350194e-512j)  +/-  (9.59e-121, 9.59e-121j)
| (1.0025492579357546179e-528 + 1.572784741716680814e-528j)  +/-  (6.53e-527, 6.53e-527j)
| (-0.50725007926059899687 - 1.6533369074325162216e-512j)  +/-  (9.88e-121, 9.88e-121j)
-------------------------------------------------
The weights are:
| (0.021221980920554430043 + 8.6438328647811148433e-442j)  +/-  (6.62e-23, 1.57e-77j)
| (0.0058528132303221177332 - 2.8334745266712027679e-442j)  +/-  (2.37e-23, 5.61e-78j)
| (0.035972398592809237875 + 1.9835446110372771776e-441j)  +/-  (1.59e-23, 3.77e-78j)
| (0.013582103570282844457 - 1.3711229766227764303e-443j)  +/-  (1.27e-23, 3.01e-78j)
| (0.042969307718763958476 - 7.995654889603154119e-443j)  +/-  (5.73e-24, 1.36e-78j)
| (0.035972398592809237875 + 6.0383068792438840462e-443j)  +/-  (5.05e-24, 1.2e-78j)
| (0.0058528132303221177332 + 3.9214923758873298673e-444j)  +/-  (1.08e-24, 2.55e-79j)
| (0.042969307718763958476 - 1.5227156988389698591e-441j)  +/-  (9.77e-26, 2.31e-80j)
| (0.088348658152094156298 + 4.6042051179141718346e-442j)  +/-  (1.71e-27, 4.04e-82j)
| (0.028704605114187266914 - 4.2579442318683898141e-443j)  +/-  (9.1e-25, 2.16e-79j)
| (0.049640648632699042248 + 1.0106656110640989614e-442j)  +/-  (4.35e-26, 1.03e-80j)
| (0.021221980920554430043 + 2.6866608688726974077e-443j)  +/-  (9.53e-25, 2.25e-79j)
| (0.028704605114187266914 - 3.2654360133461855801e-441j)  +/-  (6.06e-27, 1.43e-81j)
| (0.049640648632699042248 + 1.2691619725769947572e-441j)  +/-  (5.71e-28, 1.35e-82j)
| (0.080057725393541560599 + 6.5658376293367227351e-442j)  +/-  (7.38e-30, 1.75e-84j)
| (0.05593350141703350302 - 1.2354452408334609708e-442j)  +/-  (1.23e-27, 2.9e-82j)
| (0.067183965821504267072 - 1.7219510380438506176e-442j)  +/-  (5.19e-29, 1.23e-83j)
| (0.083133298914086818659 - 6.004687318496166384e-442j)  +/-  (5.05e-30, 1.2e-84j)
| (0.05593350141703350302 - 1.1000372582863538336e-441j)  +/-  (2.95e-29, 6.98e-84j)
| (0.013582103570282844457 + 1.539798349257893432e-441j)  +/-  (2.4e-28, 5.69e-83j)
| (0.080057725393541560599 + 2.5408069450328286037e-442j)  +/-  (3.42e-31, 8.09e-86j)
| (0.061797217540262027967 + 1.4727601382117819335e-442j)  +/-  (4.47e-29, 1.06e-83j)
| (0.087296574460731778966 - 3.4841168962633595359e-442j)  +/-  (5.75e-32, 1.36e-86j)
| (0.067183965821504267072 - 8.7422069586827011386e-442j)  +/-  (1.97e-31, 4.67e-86j)
| (0.061797217540262027967 + 9.7428480146473914775e-442j)  +/-  (6.27e-31, 1.48e-85j)
| (0.088348658152094156298 + 3.8340741944577311334e-442j)  +/-  (1.35e-32, 3.21e-87j)
| (0.072049282047080622183 + 1.9828087701298626556e-442j)  +/-  (5.57e-32, 1.32e-86j)
| (0.083133298914086818659 - 2.8396134350143097483e-442j)  +/-  (6.74e-33, 1.6e-87j)
| (0.087296574460731778966 - 5.0325179740230734967e-442j)  +/-  (3.84e-33, 9.07e-88j)
| (0.072049282047080622183 + 7.9093186132469948525e-442j)  +/-  (3.16e-33, 7.41e-88j)
| (0.085553141260285161083 + 5.4968782843667778486e-442j)  +/-  (2.67e-33, 6.35e-88j)
| (0.085553141260285161083 + 3.1534207447115203096e-442j)  +/-  (1.18e-33, 2.81e-88j)
| (0.076352597176006855556 - 2.2555508761898195548e-442j)  +/-  (1.26e-33, 2.98e-88j)
| (0.088700360075508701704 - 4.2062283778556081112e-442j)  +/-  (6.76e-34, 1.63e-88j)
| (0.076352597176006855556 - 7.1940633985951052101e-442j)  +/-  (3.67e-34, 7.94e-89j)
