Starting with polynomial:
P : t
Extension levels are: 1 2 32
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P2 : t^3 - 3/5*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^35 - 2152343575622569/249276722727135*t^33 + 14154197751720488/415461204545225*t^31 - 263651910170873576/3240597395452755*t^29 + 77853958731883336156/593029323367854165*t^27 - 675455917761811956/4463417537785865*t^25 + 145995725803176001368/1136386105120281229*t^23 - 463744498482322187944/5681930525601406145*t^21 + 123731103366294576306/3169919135335521323*t^19 - 44453398252686321822/3169919135335521323*t^17 + 83175453631025061944/22189433947348649261*t^15 - 109069506739834459176/148986199360769502181*t^13 + 75629623583549334572/744930996803847510905*t^11 - 184005018913964215748/19219219717539265781349*t^9 + 1056162883156588416264/1838638686311256426415721*t^7 - 5170746937586623272/262662669473036632345103*t^5 + 40017850937591444159/126340744016530620157994543*t^3 - 6710008765992630747/4421926040578571705529809005*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 + 1.27908350759718347e-440j)  +/-  (8.03e-116, 8.03e-116j)
| (-0.99771855138030178987 + 8.5796891754040002769e-444j)  +/-  (2.28e-116, 2.28e-116j)
| (-0.91324750733557018504 - 2.2308501009218604745e-452j)  +/-  (3.75e-116, 3.75e-116j)
| (0.98799776595712885907 - 1.5061238281426224532e-457j)  +/-  (6.15e-116, 6.15e-116j)
| (0.87375177860588208012 - 9.3901217279185305394e-463j)  +/-  (1.81e-116, 1.81e-116j)
| (0.91324750733557018504 - 2.8279983147313080478e-463j)  +/-  (3.84e-116, 3.84e-116j)
| (0.99771855138030178987 - 5.5890010364076108486e-463j)  +/-  (2.28e-116, 2.28e-116j)
| (-0.87375177860588208012 - 2.7928562584886990126e-463j)  +/-  (1.72e-116, 1.72e-116j)
| (-0.088583092477471197031 + 7.5097169828114801889e-479j)  +/-  (8.92e-127, 8.92e-127j)
| (0.94560626618917950125 - 5.227304746457053437e-467j)  +/-  (6.3e-116, 6.3e-116j)
| (0.82741743411427282291 + 1.5284527445108762896e-471j)  +/-  (6.08e-117, 6.08e-117j)
| (0.97058509342997881042 + 5.382481377261419839e-471j)  +/-  (7.52e-116, 7.52e-116j)
| (-0.94560626618917950125 + 1.0150553306964003081e-475j)  +/-  (6.81e-116, 6.81e-116j)
| (-0.82741743411427282291 - 4.8420345575156132281e-487j)  +/-  (6.28e-117, 6.28e-117j)
| (-0.42899368541162203977 - 1.6103037112756586755e-496j)  +/-  (7.95e-122, 7.95e-122j)
| (0.77459666924148337704 + 1.4023135292129375062e-492j)  +/-  (1.7e-117, 1.7e-117j)
| (0.6511612608819354611 - 2.0139881531034593896e-494j)  +/-  (6.09e-119, 6.09e-119j)
| (-0.34734453780830139881 - 2.0338343837621811506e-497j)  +/-  (5.25e-123, 5.25e-123j)
| (-0.77459666924148337704 + 9.4175909029370761937e-492j)  +/-  (1.67e-117, 1.67e-117j)
| (-0.98799776595712885907 + 2.2136375767284137263e-494j)  +/-  (6.36e-116, 6.36e-116j)
| (0.42899368541162203977 - 1.6584485178935880924e-509j)  +/-  (7.74e-122, 7.74e-122j)
| (0.71569350813453201644 + 2.044147493130642743e-505j)  +/-  (3.86e-118, 3.86e-118j)
| (0.17646378884506261747 - 1.3002554300350307217e-512j)  +/-  (2.13e-125, 2.13e-125j)
| (-0.6511612608819354611 + 2.1381632577088846562e-503j)  +/-  (5.91e-119, 5.91e-119j)
| (-0.71569350813453201644 + 5.2681688389738506198e-506j)  +/-  (3.88e-118, 3.88e-118j)
| (0.088583092477471197031 - 1.2926778002061896591e-516j)  +/-  (8.92e-127, 8.92e-127j)
| (0.58149943051071214796 + 2.3331022671071416287e-510j)  +/-  (7.59e-120, 7.59e-120j)
| (0.34734453780830139881 + 3.8450328860028019419e-515j)  +/-  (6.41e-123, 6.41e-123j)
| (-0.17646378884506261747 + 7.3152036574113298372e-515j)  +/-  (2e-125, 2e-125j)
| (-0.58149943051071214796 + 3.7604433776641975455e-510j)  +/-  (8.03e-120, 8.03e-120j)
| (-0.26294572582644463115 - 3.9974266604006313954e-516j)  +/-  (4.19e-124, 4.19e-124j)
| (0.26294572582644463115 - 2.1884500598089655321e-517j)  +/-  (3.99e-124, 3.99e-124j)
| (0.50725007926059899687 + 1.0051828310018670038e-514j)  +/-  (7.94e-121, 7.94e-121j)
| (-2.4094356118163249564e-529 - 3.7798472846298403983e-529j)  +/-  (1.57e-527, 1.57e-527j)
| (-0.50725007926059899687 - 3.8711215818645387925e-513j)  +/-  (7.81e-121, 7.81e-121j)
-------------------------------------------------
The weights are:
| (0.021221980920554430043 + 4.5083118221740434278e-441j)  +/-  (6.62e-23, 1.64e-77j)
| (0.0058528132303221177332 - 1.4696472368032644604e-441j)  +/-  (2.37e-23, 5.86e-78j)
| (0.035972398592809237875 + 1.0334628158117760375e-440j)  +/-  (1.59e-23, 3.94e-78j)
| (0.013582103570282844457 - 7.1452894093271537002e-443j)  +/-  (1.27e-23, 3.14e-78j)
| (0.042969307718763958476 - 4.1667477596798482248e-442j)  +/-  (5.73e-24, 1.42e-78j)
| (0.035972398592809237875 + 3.1467224533159974096e-442j)  +/-  (5.05e-24, 1.25e-78j)
| (0.0058528132303221177332 + 2.0435948987649496523e-443j)  +/-  (1.08e-24, 2.66e-79j)
| (0.042969307718763958476 - 7.934176159879581561e-441j)  +/-  (9.77e-26, 2.41e-80j)
| (0.088348658152094156298 + 2.399348410934602012e-441j)  +/-  (1.71e-27, 4.22e-82j)
| (0.028704605114187266914 - 2.218928440351329079e-442j)  +/-  (9.1e-25, 2.25e-79j)
| (0.049640648632699042248 + 5.2668451534293793818e-442j)  +/-  (4.35e-26, 1.08e-80j)
| (0.021221980920554430043 + 1.4000908895605941892e-442j)  +/-  (9.53e-25, 2.35e-79j)
| (0.028704605114187266914 - 1.7011214496024619379e-440j)  +/-  (6.06e-27, 1.5e-81j)
| (0.049640648632699042248 + 6.6132904174497743108e-441j)  +/-  (5.71e-28, 1.41e-82j)
| (0.080057725393541560599 + 3.421555073111903395e-441j)  +/-  (7.38e-30, 1.83e-84j)
| (0.05593350141703350302 - 6.4382291770944777986e-442j)  +/-  (1.23e-27, 3.03e-82j)
| (0.067183965821504267072 - 8.9735315160980232728e-442j)  +/-  (5.19e-29, 1.28e-83j)
| (0.083133298914086818659 - 3.1291440493095977437e-441j)  +/-  (5.05e-30, 1.25e-84j)
| (0.05593350141703350302 - 5.7321697264069476229e-441j)  +/-  (2.95e-29, 7.29e-84j)
| (0.013582103570282844457 + 8.0091751085419130414e-441j)  +/-  (2.4e-28, 5.94e-83j)
| (0.080057725393541560599 + 1.3240778108337679583e-441j)  +/-  (3.42e-31, 8.45e-86j)
| (0.061797217540262027967 + 7.6749366120875094025e-442j)  +/-  (4.47e-29, 1.11e-83j)
| (0.087296574460731778966 - 1.8156550994985040804e-441j)  +/-  (5.75e-32, 1.42e-86j)
| (0.067183965821504267072 - 4.5555988879892171599e-441j)  +/-  (1.97e-31, 4.88e-86j)
| (0.061797217540262027967 + 5.0769752898300331138e-441j)  +/-  (6.27e-31, 1.55e-85j)
| (0.088348658152094156298 + 1.9980235312941329689e-441j)  +/-  (1.35e-32, 3.35e-87j)
| (0.072049282047080622183 + 1.0332923436424164381e-441j)  +/-  (5.57e-32, 1.38e-86j)
| (0.083133298914086818659 - 1.4797921608025493748e-441j)  +/-  (6.74e-33, 1.67e-87j)
| (0.087296574460731778966 - 2.6225455997705744888e-441j)  +/-  (3.84e-33, 9.47e-88j)
| (0.072049282047080622183 + 4.121614052900560899e-441j)  +/-  (3.16e-33, 7.73e-88j)
| (0.085553141260285161083 + 2.8645254809794437782e-441j)  +/-  (2.67e-33, 6.63e-88j)
| (0.085553141260285161083 + 1.6433233375359233011e-441j)  +/-  (1.18e-33, 2.93e-88j)
| (0.076352597176006855556 - 1.1754245530173661084e-441j)  +/-  (1.26e-33, 3.11e-88j)
| (0.088700360075508701704 - 2.1919582724159167727e-441j)  +/-  (6.76e-34, 1.71e-88j)
| (0.076352597176006855556 - 3.7489134718394944269e-441j)  +/-  (3.67e-34, 8.3e-89j)
