Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 42
-------------------------------------------------
Trying to find an order 42 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^45 - 1364494424873097033/49809029334008456*t^43 + 592371541037941974099/4233767493390718760*t^41 - 15543751879381937433159/35140270195142965708*t^39 + 34067737941548007816483/35140270195142965708*t^37 - 8681000880212010151179469/5552162690832588581864*t^35 + 20715890931989077550119667/10777727576322083717736*t^33 - 1878979015566488544980063/1020618141697167018725*t^31 + 20750811437218665668868262/14901024868778638473385*t^29 - 1100875541834706512131224331/1313345502227524135792140*t^27 + 1351617336140718070847573787/3356327394581450569246580*t^25 - 3469354003353593661612425301/22487393543695718813952086*t^23 + 229341461471522554038757327/4888563813846895394337410*t^21 - 21953742236834652585375153/1955425525538758157734964*t^19 + 248991674557471005899677251/119280957057864247621832804*t^17 - 520957222922646321357721921/1759394116603497652422033859*t^15 + 109958329537450938774119337/3518788233206995304844067718*t^13 - 1834549057915189168584112809/774133411305538967065694897960*t^11 + 275173226994428812101319631/2237949316319649013880827068648*t^9 - 25746134491543097835644259/6340856396239005539329010027836*t^7 + 482714274462158000246439/6340856396239005539329010027836*t^5 - 2758171113084521264860483/4172283508725265644878488598316088*t^3 + 34821925198302866587041/20861417543626328224392442991580440*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: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
-------------------------------------------------
The nodes are:
| (0.5114047255945475266 + 3.877080118762945601e-927j)  +/-  (2.75e-246, 2.75e-246j)
| (0.98132380834652692847 + 1.901501696411506866e-919j)  +/-  (4.32e-240, 4.32e-240j)
| (-0.94475755206460393205 - 8.7094718486491689482e-935j)  +/-  (2.95e-240, 2.95e-240j)
| (0.99238613019668857555 - 8.287715618564780972e-937j)  +/-  (3.12e-240, 3.12e-240j)
| (0.88960044761246962429 - 2.6123088700827330507e-947j)  +/-  (8.35e-241, 8.35e-241j)
| (0.91944075690578682193 + 4.8213402761358014243e-950j)  +/-  (1.75e-240, 1.75e-240j)
| (-0.99238613019668857555 + 4.399947034472018615e-956j)  +/-  (3.31e-240, 3.31e-240j)
| (-0.85539075792856720776 - 5.332010225999174885e-960j)  +/-  (3.24e-241, 3.24e-241j)
| (-0.99855341163032368546 + 2.3864720772786276142e-957j)  +/-  (1.02e-240, 1.02e-240j)
| (-0.98132380834652692847 + 2.5040608577388789388e-959j)  +/-  (3.88e-240, 3.88e-240j)
| (0.85539075792856720776 + 3.0253013150191251871e-961j)  +/-  (3.12e-241, 3.12e-241j)
| (-0.19322693907740572908 - 4.6102076309283629212e-981j)  +/-  (7.02e-252, 7.02e-252j)
| (-0.56993154558925436082 - 8.958062095408158093e-975j)  +/-  (2.52e-245, 2.52e-245j)
| (-0.88960044761246962429 - 4.0053755944648289967e-969j)  +/-  (8.64e-241, 8.64e-241j)
| (0.99855341163032368546 - 6.29505393297925553e-970j)  +/-  (1.04e-240, 1.04e-240j)
| (0.81698927374426241067 - 6.5796152613406531589e-984j)  +/-  (1.02e-241, 1.02e-241j)
| (0.67875502647205929737 - 8.6306295801870140738e-991j)  +/-  (1.18e-243, 1.18e-243j)
| (-0.9654205626957687594 + 1.6006617575394153456e-984j)  +/-  (3.99e-240, 3.99e-240j)
| (-0.81698927374426241067 - 9.7691378458737678772e-992j)  +/-  (9.85e-242, 9.85e-242j)
| (-0.62582200827490670876 - 2.6561656822618936594e-997j)  +/-  (1.83e-244, 1.83e-244j)
| (0.9654205626957687594 + 5.1884620889107513948e-990j)  +/-  (4.06e-240, 4.06e-240j)
| (0.77459666924148337704 + 3.8543565048907747315e-1009j)  +/-  (3.03e-242, 3.03e-242j)
| (0.1280820709211599132 + 1.17855017684133175e-1021j)  +/-  (3.46e-253, 3.46e-253j)
| (-0.67875502647205929737 - 4.8795617545201292681e-1016j)  +/-  (1.14e-243, 1.14e-243j)
| (-0.77459666924148337704 - 1.6109798891074738365e-1014j)  +/-  (3e-242, 3e-242j)
| (-1.2095432744293369313e-1023 + 6.327078395785990678e-1023j)  +/-  (2.9e-1021, 2.9e-1021j)
| (0.72843646453669396918 - 2.3905670591927448616e-1012j)  +/-  (6.5e-243, 6.5e-243j)
| (0.94475755206460393205 - 4.2811069452734465011e-1022j)  +/-  (3.1e-240, 3.1e-240j)
| (-0.91944075690578682193 - 7.9321932736550625145e-1044j)  +/-  (1.62e-240, 1.62e-240j)
| (-0.72843646453669396918 - 1.3302223121610807138e-1050j)  +/-  (6.54e-243, 6.54e-243j)
| (-0.25865636042642628176 - 7.3115797126127754993e-1058j)  +/-  (9.93e-251, 9.93e-251j)
| (0.45059415417275136725 + 1.9212701668437844402e-1055j)  +/-  (2.66e-247, 2.66e-247j)
| (0.62582200827490670876 - 5.1303304278121328858e-1051j)  +/-  (1.74e-244, 1.74e-244j)
| (0.063692883543839287524 - 1.5459854738831597273e-1062j)  +/-  (1.78e-254, 1.78e-254j)
| (-0.45059415417275136725 - 1.9674501863573441668e-1055j)  +/-  (2.77e-247, 2.77e-247j)
| (-0.38789183847016823359 - 4.8701060531722420999e-1058j)  +/-  (2.04e-248, 2.04e-248j)
| (0.19322693907740572908 - 1.2276852807031250237e-1059j)  +/-  (6.46e-252, 6.46e-252j)
| (0.56993154558925436082 + 2.6355852451227141454e-1056j)  +/-  (2.47e-245, 2.47e-245j)
| (0.25865636042642628176 + 8.5163633684274795754e-1063j)  +/-  (1.1e-250, 1.1e-250j)
| (-0.32374172538777687861 - 2.081288932250936946e-1060j)  +/-  (1.61e-249, 1.61e-249j)
| (-0.5114047255945475266 - 6.1520189953957505097e-1058j)  +/-  (2.83e-246, 2.83e-246j)
| (-0.1280820709211599132 + 4.7908448778794212942e-1065j)  +/-  (3.73e-253, 3.73e-253j)
| (0.32374172538777687861 + 3.1159217820025195579e-1063j)  +/-  (1.54e-249, 1.54e-249j)
| (0.38789183847016823359 + 1.1215822023860117352e-1060j)  +/-  (2.3e-248, 2.3e-248j)
| (-0.063692883543839287524 - 6.8836449693486271549e-1067j)  +/-  (1.78e-254, 1.78e-254j)
-------------------------------------------------
The weights are:
| (0.059730414952167081968 - 9.2794971016726937019e-920j)  +/-  (9.02e-71, 6.22e-187j)
| (0.013494202323903793858 - 7.0539258590896867303e-920j)  +/-  (4.14e-71, 2.86e-187j)
| (0.023009604962715428563 - 3.0731566761178321102e-921j)  +/-  (1.93e-72, 1.33e-188j)
| (0.0086212293470859027068 - 1.1744500338544246147e-919j)  +/-  (2.43e-71, 1.67e-187j)
| (0.032052656100992419502 - 1.123522610767981811e-919j)  +/-  (1.05e-71, 7.27e-188j)
| (0.027602266586682742118 + 1.2896311009358846033e-919j)  +/-  (1.17e-71, 8.08e-188j)
| (0.0086212293470859027068 + 6.5826006682581682059e-922j)  +/-  (1.34e-73, 9.25e-190j)
| (0.036337119381402432028 + 7.0297344999491756333e-921j)  +/-  (3.93e-74, 2.71e-190j)
| (0.0037114863705129180685 - 1.8685529035253382408e-922j)  +/-  (6.34e-74, 4.37e-190j)
| (0.013494202323903793858 - 1.3073793059715990777e-921j)  +/-  (7.28e-74, 5.02e-190j)
| (0.036337119381402432028 + 1.0252761759524113772e-919j)  +/-  (7.69e-75, 5.3e-191j)
| (0.065389063371694258143 + 8.4627279470650980871e-920j)  +/-  (6.98e-77, 4.81e-193j)
| (0.057264585053000769471 + 2.3977545508071241925e-920j)  +/-  (6.52e-77, 4.49e-193j)
| (0.032052656100992419502 - 5.508147657806010928e-921j)  +/-  (3.44e-75, 2.37e-191j)
| (0.0037114863705129180685 + 2.1471796198720682664e-920j)  +/-  (2.41e-75, 1.66e-191j)
| (0.040432398971571763174 - 9.6320082562915269792e-920j)  +/-  (1.38e-75, 9.5e-192j)
| (0.051354154049167316724 + 8.9055035663797919125e-920j)  +/-  (8.9e-77, 6.13e-193j)
| (0.018298745163832831485 + 2.1127275208494208397e-921j)  +/-  (3.34e-75, 2.3e-191j)
| (0.040432398971571763174 - 8.8019801765718874977e-921j)  +/-  (7.08e-77, 4.88e-193j)
| (0.054462898974526278859 - 1.9727080511513883777e-920j)  +/-  (3.1e-78, 2.14e-194j)
| (0.018298745163832831485 + 2.5862270315907679194e-919j)  +/-  (8.1e-77, 5.58e-193j)
| (0.044315556246633258099 + 9.2384640309300138192e-920j)  +/-  (1.31e-77, 9.02e-194j)
| (0.064814875925765219322 - 1.3506505806724348433e-919j)  +/-  (9.18e-81, 6.32e-197j)
| (0.051354154049167316724 + 1.6231322003360317931e-920j)  +/-  (5.97e-79, 4.12e-195j)
| (0.044315556246633258099 + 1.0876581741776341592e-920j)  +/-  (1.34e-78, 9.26e-195j)
| (0.063545642534164545348 - 1.3597371375790349239e-919j)  +/-  (1.71e-81, 1.18e-197j)
| (0.047963798624399244933 - 9.0072049103370419528e-920j)  +/-  (1.89e-79, 1.31e-195j)
| (0.023009604962715428563 - 1.6187464479889893857e-919j)  +/-  (3.51e-78, 2.42e-194j)
| (0.027602266586682742118 + 4.1986424749822894072e-921j)  +/-  (1.25e-78, 8.64e-195j)
| (0.047963798624399244933 - 1.3322383212599876307e-920j)  +/-  (1.48e-79, 1.02e-195j)
| (0.065362052003807096271 - 6.7953813900562418394e-920j)  +/-  (6.21e-83, 4.28e-199j)
| (0.061825601093552486689 + 9.6444033249037078508e-920j)  +/-  (2.81e-83, 1.94e-199j)
| (0.054462898974526278859 - 8.9181810473973194367e-920j)  +/-  (4.62e-82, 3.18e-198j)
| (0.063969411554186986507 + 1.3976033009457260877e-919j)  +/-  (1.36e-83, 9.36e-200j)
| (0.061825601093552486689 + 3.5746256269811625456e-920j)  +/-  (7.84e-84, 5.4e-200j)
| (0.063505333544246671757 - 4.4005059869268477912e-920j)  +/-  (4.38e-84, 3.02e-200j)
| (0.065389063371694258143 + 1.2612540241972500662e-919j)  +/-  (4.53e-85, 3.12e-201j)
| (0.057264585053000769471 + 9.0413207877262248444e-920j)  +/-  (1.5e-84, 1.03e-200j)
| (0.065362052003807096271 - 1.1659772753098200254e-919j)  +/-  (1.28e-85, 8.85e-202j)
| (0.064709724131070827081 + 5.4537576145984558733e-920j)  +/-  (2.45e-85, 1.69e-201j)
| (0.059730414952167081968 - 2.9212362968374852785e-920j)  +/-  (3.72e-85, 2.56e-201j)
| (0.064814875925765219322 - 1.0387825291342134329e-919j)  +/-  (3.73e-86, 2.57e-202j)
| (0.064709724131070827081 + 1.0823760789696342885e-919j)  +/-  (5.66e-87, 3.9e-203j)
| (0.063505333544246671757 - 1.0153213952202546706e-919j)  +/-  (4.69e-87, 3.22e-203j)
| (0.063969411554186986507 + 1.2272378211019016101e-919j)  +/-  (9.73e-87, 6.73e-203j)
