Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 14
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Trying to find an order 14 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
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Ending with final polynomial:
P : 5/2*t^17 - 2660449/261516*t^15 + 1384565/81548*t^13 - 340471495/22751892*t^11 + 17578561/2353644*t^9 - 366222857/174431172*t^7 + 90173083/290718620*t^5 - 202159529/9942576804*t^3 + 1267981/3314192268*t
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Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 1
  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
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The nodes are:
| (0.94877482450512284824 + 3.9130929872698782034e-268j)  +/-  (1.22e-122, 1.22e-122j)
| (-0.94877482450512284824 - 2.8325380673120505545e-278j)  +/-  (1.37e-122, 1.37e-122j)
| (-0.87596047095189233297 + 8.3762329325161767258e-280j)  +/-  (9.9e-123, 9.9e-123j)
| (-0.99019766197072609084 + 2.4614296442310329169e-281j)  +/-  (5.66e-123, 5.66e-123j)
| (0.87596047095189233297 - 2.4978709662709487382e-293j)  +/-  (1e-122, 1e-122j)
| (0.77459666924148337704 + 4.9063195181855802516e-311j)  +/-  (3.61e-123, 3.61e-123j)
| (-0.17354320230221835952 + 5.8459428226002983096e-318j)  +/-  (8.39e-127, 8.39e-127j)
| (-0.77459666924148337704 - 7.8414393815578842143e-321j)  +/-  (3.58e-123, 3.58e-123j)
| (-0.34279295004606064304 + 5.2556233076362601137e-321j)  +/-  (1.25e-125, 1.25e-125j)
| (0.34279295004606064304 + 3.0618995787018493774e-334j)  +/-  (1.26e-125, 1.26e-125j)
| (0.99019766197072609084 + 4.6596328580131822614e-352j)  +/-  (5.35e-123, 5.35e-123j)
| (0.17354320230221835952 + 1.0070484907753709621e-360j)  +/-  (8.33e-127, 8.33e-127j)
| (-0.5029301319296336391 + 2.3240248604859011991e-364j)  +/-  (1.35e-124, 1.35e-124j)
| (-0.64864218740590021505 - 2.1166571512947855153e-363j)  +/-  (9.93e-124, 9.93e-124j)
| (-2.3327981097209099395e-362 - 1.5823751347506673712e-362j)  +/-  (4.79e-361, 4.79e-361j)
| (0.64864218740590021505 - 1.6967577909356269507e-366j)  +/-  (9.18e-124, 9.18e-124j)
| (0.5029301319296336391 + 1.1404648010759586846e-374j)  +/-  (1.27e-124, 1.27e-124j)
-------------------------------------------------
The weights are:
| (0.057489192149205511287 - 2.2616644678512426658e-268j)  +/-  (3.55e-46, 5.56e-106j)
| (0.057489192149205511287 - 1.1855318518917221657e-269j)  +/-  (1.63e-46, 2.55e-106j)
| (0.087662443743492699411 + 2.4192041581888246843e-269j)  +/-  (1.04e-46, 1.63e-106j)
| (0.025107582311899442054 + 3.3133235035349934048e-270j)  +/-  (5.15e-47, 8.07e-107j)
| (0.087662443743492699411 + 6.0625508445627143916e-268j)  +/-  (1.53e-47, 2.39e-107j)
| (0.11440158760676199048 - 4.0123741484415587627e-268j)  +/-  (1.04e-47, 1.63e-107j)
| (0.17214594288631037074 - 1.5347656000181627404e-268j)  +/-  (2.78e-48, 4.35e-108j)
| (0.11440158760676199048 - 4.0552366709938186104e-269j)  +/-  (4.87e-48, 7.63e-108j)
| (0.16554924435369734162 + 1.1884131480612001621e-268j)  +/-  (2.4e-48, 3.77e-108j)
| (0.16554924435369734162 + 2.5329406528357164831e-268j)  +/-  (2.59e-49, 4.05e-109j)
| (0.025107582311899442054 - 1.5509423127666690655e-268j)  +/-  (6.35e-50, 9.95e-110j)
| (0.17214594288631037074 - 2.2219102657765053914e-268j)  +/-  (2.74e-49, 4.29e-109j)
| (0.15383063138937074751 - 8.7697466255965516144e-269j)  +/-  (2.51e-49, 3.93e-109j)
| (0.13669568707981366695 + 6.1545834554110910378e-269j)  +/-  (2.19e-49, 3.43e-109j)
| (0.17423537695889645989 + 1.8880921270142380189e-268j)  +/-  (9.82e-50, 1.54e-109j)
| (0.13669568707981366695 + 3.2756971731400257699e-268j)  +/-  (4.45e-51, 7.1e-111j)
| (0.15383063138937074751 - 2.855497632306888467e-268j)  +/-  (6.46e-51, 9.96e-111j)
