Starting with polynomial:
P : 5/2*t^3 - 3/2*t
Extension levels are: 3 10 28
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : 5/2*t^3 - 3/2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 28 Kronrod extension for:
P2 : 5/2*t^13 - 124943/17112*t^11 + 2882165/359352*t^9 - 1552265/379316*t^7 + 52195/54188*t^5 - 488345/5527176*t^3 + 3421/1842392*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 5/2*t^41 - 3456646554674717718481692338548395717412232611661359053764791118911771492181232687616018083462907/141624458707824340765189198664491549792777935838189778076202864950612767001396388892389059616888*t^39 + 2507272945689870343794200990017314303457056497298022482855004434792939237924424839697095334819246035/22801537851959718863195460984983139516637247669948554270268661257048655487224818611674638598318968*t^37 - 4168954584765809634200978775452733472837192058289966520349919446764307128144800458781526572832399971047/13749327324731710474506862973944833128532260344978978224972002738000339258796565622839807074786337704*t^35 + 192214949368231072951292969637706330941124290214365656563229038577694700619535489439694752200091286760335/335876424647017498734381938363509494997002359855915039495744638314008287607744674500801001398351963912*t^33 - 3864057996134153055617968507212794917993978494737014645923995441758273749389527756732122467645887178926925/4933157329194715838624777672452981518910188481006293651566122914051364806560257832893681638127112128722*t^31 + 520619819193051449257774556234933934567384811056181443326357513553756546862024823516666914835145311575598621/647834951198441554162628061437293153660754106650858756629860851067842133145380956055167030606950757291202*t^29 - 1011593897881415678553893780704966583413428200397455415707627704746836856741597106418771311138010092209066265/1605504009491789938576947804431552598202738438221693440343568196124652243012465847614979162808530137634718*t^27 + 521646679859420079801992028648847428429512011591640144886104271350368050026451417385242166620545363946062827/1367651563641154392121103685256507768839369780707368486218595130032111169973582018338685953503562709836982*t^25 - 148941811785070751024279799281269690522506951792314295536462815563466309816528438164096354389193978412174025/832483560477224412595454417112656902771790301300137339437405731323893755636093402467026232567385997292076*t^23 + 2755393279349174534090047129219081971159577625189526400369514035454413148115108685076291305475276440883567075/42456661584338445042368175272745502041361305366307004311307692297518581537440763525818337860936685861895876*t^21 - 1922925301745695318155427923710203536521301137878258333963431632896003489468496856297069035017873534215235/106407673143705376046035526999362160504664925730092742634856371672978901096342765728868014689064375593724*t^19 + 80638106728312627491063133776937683153530360979999661959726753915985657640183973926691582351410474638675/21150621689848396545867115516597553625879187467304093787858802058796652005693660085284415068914372234508*t^17 - 966743596131157895727044217859349354115050438896577833218383667900554568797424995372142067743774572875835/1618022559273402335758834337019712852379757841248763174771198357497943878435564996524257752771949475939862*t^15 + 1745065698811882116398651870119157574413628085646525171654894687989792645324351379347198857228296490916157075/25812313888088587462360684178475479134014276841441518927124927397164698692682568389551483929970909989668618486*t^13 - 58684968057257878989367440359930297284816563089454722392492735638550385983627298741054726328574254775107925/11062420237752251769583150362203776771720404360617793825910683170213442296863957881236350255701818567000836494*t^11 + 20131595875164337091642640662481866204218971542563427793224904716162830590623714845028689752298013518767790/73917080679526409551305595601997962974677247318673440564039564819153455347227354933715613072189424061323771119*t^9 - 550823575914166504027950032429506632129122266397163415490466655884944623534967623838815904787131262132475/65704071715134586267827196090664855977490886505487502723590724283691960308646537718858322730835043610065574328*t^7 + 66391581247061359202598736811935672569439904501249282691149766548874919301177177654334778423771399895/494015576805523205021257113463645533665345011319454907696170859275879400816891261044047539329586794060643416*t^5 - 399994688227496872019010830935190967104983832691190905243916747362805690372498996513549595822823325/461621112752702011249371401105373695392207633528015241617733425880739767976439375073946061340761430515683192*t^3 + 349468800635350368266760191317685311699118176136383624034388417400493265226892167382792592369826025/290975174738453167757520439830087219328888211667158940633044636113492967081148952754944000665126621701718972024*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:
| (-0.99392811680537305572 - 1.5969433862886098885e-889j)  +/-  (9.85e-242, 9.85e-242j)
| (0.99392811680537305572 + 3.8552649282215086057e-898j)  +/-  (9.06e-242, 9.06e-242j)
| (-0.90591989788431806766 + 7.0558623203310066889e-914j)  +/-  (1.91e-242, 1.91e-242j)
| (0.45966053063221982553 - 5.5731741606807476285e-918j)  +/-  (3.2e-248, 3.2e-248j)
| (0.93773027621034202472 + 6.8059701809272310998e-911j)  +/-  (4.08e-242, 4.08e-242j)
| (0.96311804562766043718 + 1.1465017020920533389e-922j)  +/-  (7.44e-242, 7.44e-242j)
| (-0.99928883759866534555 - 5.8935478533475178607e-933j)  +/-  (4.24e-242, 4.24e-242j)
| (-0.93773027621034202472 + 2.4398615161747165851e-937j)  +/-  (4.15e-242, 4.15e-242j)
| (-0.98189373966174310941 + 1.2598970801781040855e-937j)  +/-  (9.26e-242, 9.26e-242j)
| (0.98189373966174310941 + 9.7829327837312599085e-943j)  +/-  (1.02e-241, 1.02e-241j)
| (0.90591989788431806766 - 8.504213193305581704e-961j)  +/-  (2e-242, 2e-242j)
| (-0.86792697834945936646 + 2.9116882716457929763e-967j)  +/-  (7.17e-243, 7.17e-243j)
| (-0.96311804562766043718 - 1.4807045066134057882e-969j)  +/-  (6.57e-242, 6.57e-242j)
| (-0.82404021821838639472 - 1.8675940309618171436e-980j)  +/-  (2.09e-243, 2.09e-243j)
| (0.99928883759866534555 - 1.4266744650125625103e-988j)  +/-  (4.22e-242, 4.22e-242j)
| (0.77459666924148337704 - 7.9510113630699301633e-1009j)  +/-  (5.69e-244, 5.69e-244j)
| (0.82404021821838639472 + 2.499000096002419086e-1008j)  +/-  (2.31e-243, 2.31e-243j)
| (-0.24133725075708084523 - 2.5544307747054943508e-1017j)  +/-  (1.62e-251, 1.62e-251j)
| (-0.77459666924148337704 + 4.4468399459528134097e-1013j)  +/-  (5.65e-244, 5.65e-244j)
| (-0.31407812055899103745 - 3.223008916116758298e-1018j)  +/-  (2.28e-250, 2.28e-250j)
| (0.24133725075708084523 - 2.8808342440778041724e-1016j)  +/-  (1.52e-251, 1.52e-251j)
| (0.71998303173381570985 - 6.9015002357810292758e-1013j)  +/-  (1.18e-244, 1.18e-244j)
| (0.86792697834945936646 + 2.8490702176787296742e-1015j)  +/-  (6.79e-243, 6.79e-243j)
| (-0.66063942041264467191 + 4.9690342880952196002e-1016j)  +/-  (1.94e-245, 1.94e-245j)
| (-0.71998303173381570985 - 3.264955160395274587e-1019j)  +/-  (1.15e-244, 1.15e-244j)
| (-1.0784813077542944624e-1022 - 5.1000741646738679708e-1023j)  +/-  (4.89e-1021, 4.89e-1021j)
| (0.66063942041264467191 + 1.2620338694167266182e-1021j)  +/-  (1.98e-245, 1.98e-245j)
| (0.38736385932378655649 - 3.9474879330872344666e-1026j)  +/-  (2.51e-249, 2.51e-249j)
| (-0.043217951307532783201 + 1.001481612269384456e-1025j)  +/-  (7.04e-255, 7.04e-255j)
| (-0.59706738604131558719 - 1.9397763078241287136e-1023j)  +/-  (2.73e-246, 2.73e-246j)
| (-0.1044614586151915911 + 1.0214216060807293162e-1027j)  +/-  (8.38e-254, 8.38e-254j)
| (0.31407812055899103745 - 7.2252813076826921374e-1028j)  +/-  (2.14e-250, 2.14e-250j)
| (0.52984566457483662948 + 1.9420299288173460823e-1023j)  +/-  (3.13e-247, 3.13e-247j)
| (0.043217951307532783201 + 3.2001635096232663333e-1027j)  +/-  (7.04e-255, 7.04e-255j)
| (-0.45966053063221982553 - 8.3900302947904779863e-1027j)  +/-  (3.11e-248, 3.11e-248j)
| (-0.38736385932378655649 + 5.5894537226870098599e-1029j)  +/-  (2.9e-249, 2.9e-249j)
| (0.1044614586151915911 - 2.4473959182484583018e-1027j)  +/-  (9.44e-254, 9.44e-254j)
| (0.59706738604131558719 - 1.9974960216336643486e-1026j)  +/-  (2.68e-246, 2.68e-246j)
| (0.17101852249474448773 - 1.2512424829692050283e-1031j)  +/-  (1.18e-252, 1.18e-252j)
| (-0.17101852249474448773 + 3.2515861223841754994e-1032j)  +/-  (1.15e-252, 1.15e-252j)
| (-0.52984566457483662948 + 2.999431201369199058e-1027j)  +/-  (2.97e-247, 2.97e-247j)
-------------------------------------------------
The weights are:
| (0.0086450299740093325715 - 1.5879051094694437358e-890j)  +/-  (8.82e-73, 1.58e-190j)
| (0.0086450299740093325715 - 6.9449812163821406305e-892j)  +/-  (2.6e-73, 4.65e-191j)
| (0.03494574438815696282 - 4.3746608903523291301e-890j)  +/-  (2.8e-73, 5.02e-191j)
| (0.071400969113803506758 - 2.6794004416069987922e-890j)  +/-  (1.39e-73, 2.48e-191j)
| (0.028634973724565617665 + 1.6253295918953662217e-891j)  +/-  (6.74e-74, 1.21e-191j)
| (0.02210889478180052703 - 1.2967361053080960238e-891j)  +/-  (8.06e-74, 1.44e-191j)
| (0.0023136972970964333139 - 9.8360453605164926823e-890j)  +/-  (2.89e-74, 5.17e-192j)
| (0.028634973724565617665 + 5.5866582310921741353e-890j)  +/-  (8.41e-75, 1.51e-192j)
| (0.015420249650812713588 + 1.6465002029078578591e-889j)  +/-  (1.46e-74, 2.61e-192j)
| (0.015420249650812713588 + 1.0028541893799185205e-891j)  +/-  (5.42e-76, 9.72e-194j)
| (0.03494574438815696282 - 2.0265101754879881683e-891j)  +/-  (1.03e-76, 1.84e-194j)
| (0.04099197279577266811 + 3.7605029548554346409e-890j)  +/-  (2.81e-76, 5.04e-194j)
| (0.02210889478180052703 - 8.2368262471137790401e-890j)  +/-  (3.45e-75, 6.18e-193j)
| (0.046725391723247251976 - 3.4714752834064944271e-890j)  +/-  (3.95e-77, 7.09e-195j)
| (0.0023136972970964333139 + 2.6453841585767203361e-892j)  +/-  (5.98e-77, 1.07e-194j)
| (0.052097314980089667343 + 4.222851204401994809e-891j)  +/-  (1.66e-79, 2.98e-197j)
| (0.046725391723247251976 - 3.2440700128565719226e-891j)  +/-  (4.11e-79, 7.37e-197j)
| (0.071844850804607082637 + 2.7326268778397298657e-889j)  +/-  (6.07e-82, 1.09e-199j)
| (0.052097314980089667343 + 3.4049913783829785716e-890j)  +/-  (6.34e-80, 1.14e-197j)
| (0.073308748356427402678 - 1.6132495910015810859e-889j)  +/-  (5.2e-82, 9.33e-200j)
| (0.071844850804607082637 + 1.6648649656248397878e-889j)  +/-  (4.47e-83, 8e-201j)
| (0.057056733654232555576 - 5.6445862506712965861e-891j)  +/-  (3.73e-81, 6.69e-199j)
| (0.04099197279577266811 + 2.5449223816449180322e-891j)  +/-  (1e-79, 1.8e-197j)
| (0.061547144511369711832 + 3.8687273319056004505e-890j)  +/-  (1.46e-82, 2.62e-200j)
| (0.057056733654232555576 - 3.5314811941241648972e-890j)  +/-  (7.54e-82, 1.35e-199j)
| (0.033676973080435780197 + 2.5636655816151217709e-888j)  +/-  (1.58e-84, 2.83e-202j)
| (0.061547144511369711832 + 7.7929916728806460291e-891j)  +/-  (1.68e-83, 3.01e-201j)
| (0.07300800351806800837 + 4.5617008832022554588e-890j)  +/-  (1.74e-84, 3.12e-202j)
| (0.055715017738594397071 - 1.934589160660530924e-888j)  +/-  (6.85e-85, 1.23e-202j)
| (0.065500944190221094482 - 4.4848460060074891872e-890j)  +/-  (1.93e-85, 3.47e-203j)
| (0.064518613390558087033 + 9.4157310899797348756e-889j)  +/-  (2.57e-85, 4.6e-203j)
| (0.073308748356427402678 - 8.3850344193685927712e-890j)  +/-  (1.15e-85, 2.06e-203j)
| (0.068829035459880847247 + 1.6831352093426359726e-890j)  +/-  (6.26e-86, 1.12e-203j)
| (0.055715017738594397071 - 1.773360222270460659e-888j)  +/-  (7.26e-86, 1.3e-203j)
| (0.071400969113803506758 - 7.2898789717542556806e-890j)  +/-  (1.8e-87, 3.22e-205j)
| (0.07300800351806800837 + 1.0388084562828218983e-889j)  +/-  (2.99e-87, 5.37e-205j)
| (0.064518613390558087033 + 7.6247800079582053233e-889j)  +/-  (9.14e-87, 1.64e-204j)
| (0.065500944190221094482 - 1.1187079261241407327e-890j)  +/-  (6.8e-88, 1.22e-205j)
| (0.0685481834064682418 - 3.4989777205846358851e-889j)  +/-  (3.75e-87, 6.72e-205j)
| (0.0685481834064682418 - 4.9533051477136127143e-889j)  +/-  (1.25e-87, 2.28e-205j)
| (0.068829035459880847247 + 5.5264259007066489197e-890j)  +/-  (6.69e-89, 1.14e-206j)
