Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 41
-------------------------------------------------
Trying to find an order 41 Kronrod extension for:
P1 : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 231/16*t^47 - 2164828640580126870979931546298319991474991815/12963249988326980225401202901035706786846224*t^45 + 199006895554308524582097501613907197063790431335/220375249801558663831820449317607015376385808*t^43 - 3262874404421463266208574887286508895297673822365/1075949749031139358708299840785963663308236592*t^41 + 22872008984181352529647983682163763033456245273665/3227849247093418076124899522357890989924709776*t^39 - 17675488845149054099035476567562396066824120878473893/1445000512948820158745246686175549199822961743056*t^37 + 4420055070183256900108982823520937914996013894776415/273378475422749759762614237925103902669208978416*t^35 - 115334499260751012475391813375811547394224995314035/6891894338388649405780190872061442924433839792*t^33 + 1153532026757250098004031856236378537507696055073875/83851381117061901103658988943414222247278384136*t^31 - 161765736742169400359006250103324917960409810765647023/17860344177934184935079364644947229338670295820968*t^29 + 44294667407252513247129115066733776839262344394802773/9238109057552164621592774816352015175174290941880*t^27 - 419086166291961787610774688971646333913299728539665/205291312390048102702061662585600337226095354264*t^25 + 9583815421308545525919779532439892299333016485960545/13754517930133222881038131393235222594148388735688*t^23 - 18234061844111550504920398111282709796960070535537015/96281625510932560167266919752646558159038721149816*t^21 + 34031127313985935075464626171009459098528984011892005/839025593738126595743326014987348578243051712876968*t^19 - 333779343063542139627806813437765266077005365872562543/49502510030549469148856234884253566116340051059741112*t^17 + 84361587924157552706138969091043712898392480203503845/99005020061098938297712469768507132232680102119482224*t^15 - 94889215817508256048482294004415943354664888545255/1192831567001192027683282768295266653405784362885328*t^13 + 521945831756452329797450418008644999118402323094165/99005020061098938297712469768507132232680102119482224*t^11 - 1182483376935117506506383273539235641907450322139015/5049256023116045853183335958193863743866685208093593424*t^9 + 1643154253689171844111971229680296534177754589352079/257116037098673942759159283988813022408270225204295335728*t^7 - 3401897994027845391600901148640440167414108912905/36730862442667706108451326284116146058324317886327905104*t^5 + 5471490145562668335362031314198459062903168245/10236469861071327931863484374261876770352678755206137488*t^3 - 321704907648516159753301321045038226699421145/624424661525351003843672546829974482991513404067574386768*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 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:
| (0.97244120412528121663 + 4.9413589919416737982e-864j)  +/-  (4.74e-239, 4.74e-239j)
| (-0.99897456916402175859 - 6.7920671478115353268e-871j)  +/-  (1.8e-239, 1.8e-239j)
| (-0.83972619328322789897 + 2.1848148380846225124e-873j)  +/-  (9.84e-241, 9.84e-241j)
| (0.87484956809066617014 - 8.6969513699604241792e-871j)  +/-  (2.96e-240, 2.96e-240j)
| (0.93246951420315202781 + 9.3160580873370046001e-872j)  +/-  (1.9e-239, 1.9e-239j)
| (0.95470701322722054963 + 6.850036618475351979e-879j)  +/-  (3.37e-239, 3.37e-239j)
| (-0.95470701322722054963 - 1.8600882557286341486e-897j)  +/-  (3.28e-239, 3.28e-239j)
| (-0.90581150226860138805 + 6.5939976554881875974e-898j)  +/-  (8.12e-240, 8.12e-240j)
| (-0.36960647360675662002 - 1.0205472306328677567e-907j)  +/-  (1.22e-248, 1.22e-248j)
| (-0.87484956809066617014 + 1.7656038145398856735e-898j)  +/-  (3.13e-240, 3.13e-240j)
| (0.90581150226860138805 + 1.2575593060148785127e-901j)  +/-  (7.78e-240, 7.78e-240j)
| (0.99439202479493786967 + 8.006660197093591976e-914j)  +/-  (4.89e-239, 4.89e-239j)
| (-0.98564336843238580308 + 7.7280134910673609844e-937j)  +/-  (5.72e-239, 5.72e-239j)
| (-0.75767453007781231995 - 2.6738556703174901068e-941j)  +/-  (5.35e-242, 5.35e-242j)
| (0.99897456916402175859 - 5.0685106393876385021e-936j)  +/-  (1.82e-239, 1.82e-239j)
| (0.80060616339777435762 + 2.6425646087909895803e-955j)  +/-  (2.55e-241, 2.55e-241j)
| (0.55216466751676174727 - 1.8617240105441697662e-962j)  +/-  (2.15e-245, 2.15e-245j)
| (-0.30483803558528955372 - 4.5279899655634789507e-972j)  +/-  (8.31e-250, 8.31e-250j)
| (-0.80060616339777435762 - 8.7330166524036559973e-965j)  +/-  (2.66e-241, 2.66e-241j)
| (-0.97244120412528121663 + 1.0732060408856230143e-962j)  +/-  (4.51e-239, 4.51e-239j)
| (0.98564336843238580308 - 2.1035657196430983025e-966j)  +/-  (5.8e-239, 5.8e-239j)
| (0.75767453007781231995 - 1.1633970918661234026e-980j)  +/-  (5.26e-242, 5.26e-242j)
| (0.83972619328322789897 - 1.6215502444249340714e-979j)  +/-  (8.91e-241, 8.91e-241j)
| (-0.66120938646626451366 - 6.9786623716051628716e-986j)  +/-  (1.65e-243, 1.65e-243j)
| (-0.60813496087240800203 - 8.6481567894081489596e-986j)  +/-  (2e-244, 2e-244j)
| (0.10310452545352438701 - 4.1413121080827339075e-993j)  +/-  (1.04e-253, 1.04e-253j)
| (0.66120938646626451366 - 1.4652765610084751825e-984j)  +/-  (1.54e-243, 1.54e-243j)
| (0.17126639141775707211 - 4.6380793714533405022e-993j)  +/-  (2.29e-252, 2.29e-252j)
| (0.034495459980774110812 + 6.3540999637639446399e-995j)  +/-  (4.93e-255, 4.93e-255j)
| (-0.71113514356600023257 + 8.8780005598720920562e-984j)  +/-  (1.06e-242, 1.06e-242j)
| (0.23861918608319690863 + 8.1322761409985822401e-992j)  +/-  (4.07e-251, 4.07e-251j)
| (0.71113514356600023257 + 1.5808891370202137361e-984j)  +/-  (9.83e-243, 9.83e-243j)
| (0.49356515234900055 - 2.0565680925449971267e-988j)  +/-  (2.19e-246, 2.19e-246j)
| (-0.034495459980774110812 - 2.8948173500822542949e-994j)  +/-  (6.87e-255, 6.87e-255j)
| (-0.55216466751676174727 - 9.5929459880638912456e-987j)  +/-  (2.32e-245, 2.32e-245j)
| (-0.93246951420315202781 - 7.0243242417876983411e-980j)  +/-  (1.64e-239, 1.64e-239j)
| (-1.3953848936342421503e-1000 - 7.8617302474437123266e-1001j)  +/-  (7.53e-999, 7.53e-999j)
| (0.60813496087240800203 + 1.3978701414918777899e-988j)  +/-  (2.01e-244, 2.01e-244j)
| (0.30483803558528955372 - 1.6583047148031840112e-994j)  +/-  (8.27e-250, 8.27e-250j)
| (-0.17126639141775707211 - 3.5214398525052257876e-997j)  +/-  (2.21e-252, 2.21e-252j)
| (-0.49356515234900055 + 6.0726073467080970758e-990j)  +/-  (2.35e-246, 2.35e-246j)
| (-0.10310452545352438701 - 3.5141873076160761394e-999j)  +/-  (1.04e-253, 1.04e-253j)
| (0.36960647360675662002 + 1.6233405045939720554e-994j)  +/-  (1.17e-248, 1.17e-248j)
| (0.43261561357126864949 - 1.4586236207884242103e-992j)  +/-  (1.76e-247, 1.76e-247j)
| (-0.99439202479493786967 + 6.1970379287747765934e-995j)  +/-  (4.66e-239, 4.66e-239j)
| (-0.43261561357126864949 + 9.8866100007579979678e-1006j)  +/-  (1.73e-247, 1.73e-247j)
| (-0.23861918608319690863 - 6.298133056463378493e-1010j)  +/-  (4.43e-251, 4.43e-251j)
-------------------------------------------------
The weights are:
| (0.01546664529986455658 - 4.3491928276029615737e-865j)  +/-  (3.54e-67, 2.9e-182j)
| (0.0026600299712339504932 + 5.6619229985373097829e-867j)  +/-  (7.87e-68, 6.46e-183j)
| (0.037150909997329385861 + 8.5400229589828494198e-866j)  +/-  (7.51e-68, 6.16e-183j)
| (0.03306834335307379631 - 1.4244334817054957986e-864j)  +/-  (6.79e-68, 5.57e-183j)
| (0.024464752592660332636 - 2.7240558436200131386e-864j)  +/-  (6.03e-68, 4.94e-183j)
| (0.019996154191089478126 + 5.2632539844481577762e-864j)  +/-  (6.51e-68, 5.34e-183j)
| (0.019996154191089478126 + 4.8433675561266320581e-866j)  +/-  (1.01e-69, 8.32e-185j)
| (0.02883172372085652512 + 6.5964534071989246778e-866j)  +/-  (1.57e-69, 1.29e-184j)
| (0.063939596177932227288 - 3.5207541031405805866e-865j)  +/-  (2.25e-71, 1.85e-186j)
| (0.03306834335307379631 - 7.5252055719431933403e-866j)  +/-  (2.1e-69, 1.72e-184j)
| (0.02883172372085652512 + 1.8595093874513941796e-864j)  +/-  (1.72e-69, 1.41e-184j)
| (0.0065950547231850999282 + 1.5703983257486733262e-864j)  +/-  (6.62e-71, 5.43e-186j)
| (0.010948870759780585508 + 2.9140782633920396519e-866j)  +/-  (5.99e-72, 4.91e-187j)
| (0.044770986674028182823 + 1.0995511177814794772e-865j)  +/-  (1.61e-72, 1.32e-187j)
| (0.0026600299712339504932 - 4.2073733656449486458e-865j)  +/-  (3.15e-71, 2.58e-186j)
| (0.041058284129613751664 - 9.9892094625272996385e-865j)  +/-  (4.39e-73, 3.6e-188j)
| (0.057330435028614397681 + 7.0998233776502703695e-865j)  +/-  (5.46e-75, 4.48e-190j)
| (0.065545780146237964458 + 4.5448703484674690107e-865j)  +/-  (5.09e-75, 4.17e-190j)
| (0.041058284129613751664 - 9.6810399234243604185e-866j)  +/-  (4.71e-73, 3.86e-188j)
| (0.01546664529986455658 - 3.9295601767871676318e-866j)  +/-  (4.93e-73, 4.04e-188j)
| (0.010948870759780585508 - 4.322131019284273783e-864j)  +/-  (1.91e-71, 1.57e-186j)
| (0.044770986674028182823 + 8.857764132615252555e-865j)  +/-  (1.43e-74, 1.17e-189j)
| (0.037150909997329385861 + 1.1661055370239916132e-864j)  +/-  (3.68e-73, 3.01e-188j)
| (0.051541007724484785786 + 1.4404882142640824988e-865j)  +/-  (2.4e-76, 1.97e-191j)
| (0.054565689131868376601 - 1.6692659827417418447e-865j)  +/-  (9.53e-77, 7.82e-192j)
| (0.068454297608774415151 - 2.020177199852183568e-864j)  +/-  (2.54e-79, 2.08e-194j)
| (0.051541007724484785786 + 7.5611035331651233101e-865j)  +/-  (7.48e-78, 6.14e-193j)
| (0.067812403149689344101 + 1.3131538466819910204e-864j)  +/-  (1.33e-79, 1.09e-194j)
| (0.068637263661962041835 + 5.5988778967044070917e-864j)  +/-  (5.64e-80, 4.63e-195j)
| (0.048270869163820287806 - 1.2543361636982887719e-865j)  +/-  (1.63e-78, 1.34e-193j)
| (0.066839173494016610317 - 1.0211524654309627274e-864j)  +/-  (3.91e-80, 3.2e-195j)
| (0.048270869163820287806 - 8.0816051436638622949e-865j)  +/-  (1.73e-78, 1.42e-193j)
| (0.059822040099939987991 - 7.1311934667065164674e-865j)  +/-  (2.21e-80, 1.81e-195j)
| (0.068637263661962041835 + 5.2152670333081796893e-864j)  +/-  (3.09e-81, 2.54e-196j)
| (0.057330435028614397681 + 1.9571535605793680806e-865j)  +/-  (6.89e-82, 5.65e-197j)
| (0.024464752592660332636 - 5.7159934942972593571e-866j)  +/-  (2.25e-81, 1.84e-196j)
| (0.00040215597413777464111 - 8.4743028448941076661e-864j)  +/-  (6.79e-81, 5.57e-196j)
| (0.054565689131868376601 - 7.2422681101735325835e-865j)  +/-  (7.67e-81, 6.29e-196j)
| (0.065545780146237964458 + 8.6953896514920142304e-865j)  +/-  (3.69e-82, 3.02e-197j)
| (0.067812403149689344101 + 9.1987294882292851007e-865j)  +/-  (3e-83, 2.46e-198j)
| (0.059822040099939987991 - 2.3294281527528225864e-865j)  +/-  (1.12e-83, 9.18e-199j)
| (0.068454297608774415151 - 1.6328585403226751833e-864j)  +/-  (8.62e-83, 7.07e-198j)
| (0.063939596177932227288 - 7.8380040308802763314e-865j)  +/-  (1.21e-83, 9.91e-199j)
| (0.062028611212875028615 + 7.3581286165791480386e-865j)  +/-  (1.01e-83, 8.31e-199j)
| (0.0065950547231850999282 - 1.7525192813761623074e-866j)  +/-  (2.45e-85, 2.02e-200j)
| (0.062028611212875028615 + 2.8270065989401911639e-865j)  +/-  (8.75e-85, 7.22e-200j)
| (0.066839173494016610317 - 6.1875035965742841995e-865j)  +/-  (1.58e-84, 1.29e-199j)
