Starting with polynomial:
P : t
Extension levels are: 1 32
-------------------------------------------------
Trying to find an order 32 Kronrod extension for:
P1 : t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^33 - 528/65*t^31 + 2728/91*t^29 - 158224/2379*t^27 + 356004/3599*t^25 - 7120080/68381*t^23 + 5458728/68381*t^21 - 163761840/3624193*t^19 + 61410690/3242699*t^17 - 54587280/9346603*t^15 + 81880920/62755763*t^13 - 12902448/62755763*t^11 + 59136220/2698497809*t^9 - 163761840/110638410169*t^7 + 81880920/1438299332197*t^5 - 54587280/53217075291289*t^3 + 2047023/372519527039023*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:
| (0.85800965267650406464 - 8.0448530121070591657e-276j)  +/-  (2.39e-117, 2.39e-117j)
| (-0.2776090971524970294 + 1.4425017246076916214e-276j)  +/-  (3.2e-124, 3.2e-124j)
| (-0.93869437261116835036 - 3.6997272664180984384e-273j)  +/-  (8.38e-117, 8.38e-117j)
| (-0.98645572623064248811 - 2.2235967027333916212e-274j)  +/-  (9.83e-117, 9.83e-117j)
| (0.96682290968999276893 + 7.9109745631153049652e-282j)  +/-  (1.08e-116, 1.08e-116j)
| (0.93869437261116835036 - 4.6646314687821503637e-282j)  +/-  (8.97e-117, 8.97e-117j)
| (-0.99742469424645521727 + 6.701621800087869682e-280j)  +/-  (3.42e-117, 3.42e-117j)
| (-0.85800965267650406464 - 5.7437512155514835252e-292j)  +/-  (2.3e-117, 2.3e-117j)
| (0.093631065854733385671 - 1.8302936031233104828e-303j)  +/-  (8.96e-127, 8.96e-127j)
| (0.99742469424645521727 - 4.0186996705508044632e-304j)  +/-  (3.47e-117, 3.47e-117j)
| (0.90231676774343358304 - 1.267579572452576967e-306j)  +/-  (4.9e-117, 4.9e-117j)
| (0.98645572623064248811 - 1.2128700752145292533e-305j)  +/-  (9.73e-117, 9.73e-117j)
| (-0.8061623562741665898 + 1.2953390045214989259e-312j)  +/-  (7.37e-118, 7.37e-118j)
| (-0.45185001727245069573 + 1.7506863635965410569e-323j)  +/-  (6.94e-122, 6.94e-122j)
| (-0.90231676774343358304 - 1.7390500973887492597e-331j)  +/-  (5.35e-117, 5.35e-117j)
| (0.74723049644956215786 - 1.2221627396593998352e-337j)  +/-  (2.14e-118, 2.14e-118j)
| (0.8061623562741665898 + 2.8192090107273686161e-340j)  +/-  (7.56e-118, 7.56e-118j)
| (-0.96682290968999276893 + 6.2768969461686907415e-343j)  +/-  (1.1e-116, 1.1e-116j)
| (-0.74723049644956215786 + 3.2046621588950763384e-346j)  +/-  (1.96e-118, 1.96e-118j)
| (-0.53338990478634764355 - 1.2806622127032251087e-353j)  +/-  (7.53e-121, 7.53e-121j)
| (0.45185001727245069573 - 7.1447909158959513961e-361j)  +/-  (7.43e-122, 7.43e-122j)
| (0.68173195996974278627 + 2.9063373924792664934e-359j)  +/-  (3.91e-119, 3.91e-119j)
| (0.18643929882799157234 + 1.09271307885032339e-363j)  +/-  (1.84e-125, 1.84e-125j)
| (-0.68173195996974278627 + 2.0367743353830290055e-360j)  +/-  (3.86e-119, 3.86e-119j)
| (-0.36633925774807334107 - 1.0408424191235730523e-364j)  +/-  (4.91e-123, 4.91e-123j)
| (1.9561815552888889978e-369 - 3.601098127018277701e-370j)  +/-  (6.56e-368, 6.56e-368j)
| (0.61024234583637902731 + 3.4975254596405360955e-369j)  +/-  (5.84e-120, 5.84e-120j)
| (0.36633925774807334107 + 1.2744024242294451865e-372j)  +/-  (5.23e-123, 5.23e-123j)
| (-0.18643929882799157234 - 4.0854260641920595004e-371j)  +/-  (1.7e-125, 1.7e-125j)
| (-0.61024234583637902731 + 1.958929131805457387e-372j)  +/-  (5.48e-120, 5.48e-120j)
| (-0.093631065854733385671 - 1.4708736684360794448e-375j)  +/-  (8.96e-127, 8.96e-127j)
| (0.2776090971524970294 + 1.4971947499800617151e-375j)  +/-  (3.6e-124, 3.6e-124j)
| (0.53338990478634764355 + 1.1444809025049657178e-373j)  +/-  (6.99e-121, 6.99e-121j)
-------------------------------------------------
The weights are:
| (0.04814774281871169567 - 1.2993437105025284663e-274j)  +/-  (1.27e-24, 3.68e-80j)
| (0.09008195866063857724 - 9.0857575697324312365e-274j)  +/-  (6.76e-25, 1.95e-80j)
| (0.032300358632328953282 - 1.1614325352651400221e-273j)  +/-  (2.24e-25, 6.46e-81j)
| (0.015321701512934676128 + 6.950144413554833209e-274j)  +/-  (1.4e-25, 4.06e-81j)
| (0.023915548101749480351 + 4.461213530026998689e-275j)  +/-  (7.37e-26, 2.13e-81j)
| (0.032300358632328953282 - 7.1670349370336571769e-275j)  +/-  (9.3e-26, 2.69e-81j)
| (0.0066062278475873780586 - 2.8062321766431902021e-274j)  +/-  (3.38e-26, 9.77e-82j)
| (0.04814774281871169567 - 2.8412283014425937067e-273j)  +/-  (1.51e-26, 4.37e-82j)
| (0.093356426065596116161 - 6.1386804008330135404e-274j)  +/-  (1.21e-27, 3.5e-83j)
| (0.0066062278475873780586 + 6.4418584110368393986e-276j)  +/-  (3.83e-27, 1.11e-82j)
| (0.040401541331669591563 + 1.0515981538096179367e-274j)  +/-  (4.1e-27, 1.19e-82j)
| (0.015321701512934676128 - 2.260399668389121276e-275j)  +/-  (8.53e-27, 2.47e-82j)
| (0.055470846631663561285 + 2.1575772543020656317e-273j)  +/-  (3.74e-29, 1.08e-84j)
| (0.083647876067038707614 - 1.1031284856598008078e-273j)  +/-  (5.11e-30, 1.48e-85j)
| (0.040401541331669591563 + 4.7666295697428791768e-273j)  +/-  (9.7e-29, 2.81e-84j)
| (0.062306482530317480032 - 2.0060932923686647082e-274j)  +/-  (2.71e-30, 7.84e-86j)
| (0.055470846631663561285 + 1.5779107843010920045e-274j)  +/-  (1.45e-29, 4.19e-85j)
| (0.023915548101749480351 - 2.3711245605708938127e-273j)  +/-  (2.27e-29, 6.57e-85j)
| (0.062306482530317480032 - 1.7871964372492138613e-273j)  +/-  (1.14e-30, 3.29e-86j)
| (0.079312364794886738364 + 1.2216622876006778228e-273j)  +/-  (6.72e-32, 1.94e-87j)
| (0.083647876067038707614 - 3.8562545296247729473e-274j)  +/-  (2.8e-33, 8.09e-89j)
| (0.068594572818656712806 + 2.4351333406549175169e-274j)  +/-  (3e-32, 8.67e-88j)
| (0.092123986643316846213 + 5.5201988101673539412e-274j)  +/-  (2.3e-33, 6.65e-89j)
| (0.068594572818656712806 + 1.5434974990019050214e-273j)  +/-  (5.06e-32, 1.46e-87j)
| (0.087248287618844337607 + 1.0011625826647355603e-273j)  +/-  (8.72e-33, 2.52e-88j)
| (0.093768446160209996567 + 6.7954197826535313439e-274j)  +/-  (6.56e-34, 1.9e-89j)
| (0.074279854843954149342 - 2.8843830739805107358e-274j)  +/-  (3.83e-34, 1.11e-89j)
| (0.087248287618844337607 + 4.38171651568075494e-274j)  +/-  (1.23e-34, 3.57e-90j)
| (0.092123986643316846213 + 8.2464358197079108495e-274j)  +/-  (1.43e-34, 4.13e-90j)
| (0.074279854843954149342 - 1.3639607876800029038e-273j)  +/-  (3.02e-34, 8.74e-90j)
| (0.093356426065596116161 - 7.4961632335253895325e-274j)  +/-  (8.21e-35, 2.37e-90j)
| (0.09008195866063857724 - 4.9356048550920600742e-274j)  +/-  (1.78e-35, 5.2e-91j)
| (0.079312364794886738364 + 3.3575778907555782995e-274j)  +/-  (1.23e-35, 3.5e-91j)
