Starting with polynomial:
P : 956086325095055/33554432*t^28 - 3285460280781189/16777216*t^26 + 20146690401016725/33554432*t^24 - 9085762337713425/8388608*t^22 + 42832879592077575/33554432*t^20 - 17315419409563275/16777216*t^18 + 19624141997505045/33554432*t^16 - 977947275623175/4194304*t^14 + 2170565904431925/33554432*t^12 - 204070298707275/16777216*t^10 + 49638721307175/33554432*t^8 - 902522205585/8388608*t^6 + 136745788725/33554432*t^4 - 1017958725/16777216*t^2 + 5014575/33554432
Extension levels are: 28 29
-------------------------------------------------
Trying to find an order 29 Kronrod extension for:
P1 : 956086325095055/33554432*t^28 - 3285460280781189/16777216*t^26 + 20146690401016725/33554432*t^24 - 9085762337713425/8388608*t^22 + 42832879592077575/33554432*t^20 - 17315419409563275/16777216*t^18 + 19624141997505045/33554432*t^16 - 977947275623175/4194304*t^14 + 2170565904431925/33554432*t^12 - 204070298707275/16777216*t^10 + 49638721307175/33554432*t^8 - 902522205585/8388608*t^6 + 136745788725/33554432*t^4 - 1017958725/16777216*t^2 + 5014575/33554432
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 956086325095055/33554432*t^57 - 803581864548529227/1979711488*t^55 + 9757800094956748985535/3562490822656*t^53 - 7343372804116269568660265/630560875610112*t^51 + 688557242893022897334128608145/19668034458113540096*t^49 - 6153710602011648776691345620024335/77747740212922823999488*t^47 + 14166671506030434401274731064719596396141/101362663892780523484738486272*t^45 - 9322643757313402264652463919459827557574535/47178688782984179208618835443712*t^43 + 146651025085860909468314895648928942850220899181155/644545999130128391449025640540246376448*t^41 - 1551548372394604449660299749997499801710544472750707475/7187332436300061693048084917664287343771648*t^39 + 49139120508876289173914820473299385576725348230178088522177/288850505393723796038293976741857100010948132864*t^37 - 107631274415732104311359307172109965596414014329471139492760809/961665861171533295238920161138425673679306605199360*t^35 + 11252516046081492460925847453890957387926802428646139699308100631064743/182547468535517493755237870370263385435816481227312677781504*t^33 - 8474863902534418654364340117636508224729539862005684019016071003385222339/297978317806143055639799950401059932826397769523383394365341696*t^31 + 8039562396634163453864547158248528448777823254107986814274878472902424136389/732135592025826239082523476211850418992274958159044570949821136896*t^29 - 12825322934101724910314213610068765214643590925841814229763509679693831333531/3625814360508853755456306739334878265485552173740030256132447535104*t^27 + 29317173992808159205930239848357436597049373037481301822731229078793425247/30989866329135502183387237088332292867397881826837865437029466112*t^25 - 35136056136467585182875582308146912496801074015141205179705555579446375/168423186571388598822756723306153765583684140363249268679507968*t^23 + 4650281454206128933200118179719355338508856283225599906577647874694625/123739484011632439951413102837174195122706715368917830050250752*t^21 - 1082177852029786504786715116525130660612091992901843029613552978034104025/198065667407952992215561906608036828326412549067181139967101370368*t^19 + 124996957715564103410214147436485795106344318928707263639462114960853385/198065667407952992215561906608036828326412549067181139967101370368*t^17 - 50578446571839267348401874219697457822628863146531925353800613346931467/891295503335788464970028579736165727468856470802315129851956166656*t^15 + 82082616911135602022457040944796783135458647970048977471929450226245/21221321507994963451667347136575374463544201685769407853618003968*t^13 - 16369502073551164958003309997043623925436765874444585506481348669385/84885286031979853806669388546301497854176806743077631414472015872*t^11 + 568210738073080588652352916114730870409218238420711779571048122435/84885286031979853806669388546301497854176806743077631414472015872*t^9 - 1318655307383127973299876254465221369222599815597956926695583695/8758005701712207138783349611919995810351575298888961971334414336*t^7 + 841488776256226743089265884390005746189200138288423700549122375/429142279383898149800384130984079794707227189645559136595386302464*t^5 - 798889994108072779269374638754346004890735865879734473567825/66021889135984330738520635536012276108804183022393713322367123456*t^3 + 19179281563342336270024224914481449181264555124636294969675/858284558767796299600768261968159589414454379291118273190772604928*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:
| (0.99041724360703692134 - 9.1567576135657628707e-818j)  +/-  (5.08e-235, 5.08e-235j)
| (-0.83704420841933939729 + 1.7774803264839909827e-820j)  +/-  (3.08e-237, 3.08e-237j)
| (-0.93638095032485021917 + 3.595718023294480088e-822j)  +/-  (1.42e-235, 1.42e-235j)
| (-0.98130316537087275369 + 6.879428983858508873e-833j)  +/-  (4.78e-235, 4.78e-235j)
| (0.91563302639213207387 + 3.8924536247359594385e-845j)  +/-  (6.83e-236, 6.83e-236j)
| (0.93638095032485021917 - 1.7412479078917471663e-845j)  +/-  (1.41e-235, 1.41e-235j)
| (-0.95425928062893819725 + 8.671071717565937432e-843j)  +/-  (2.58e-235, 2.58e-235j)
| (-0.91563302639213207387 + 2.4397433774231142002e-851j)  +/-  (6.98e-236, 6.98e-236j)
| (-0.99644249757395444995 + 1.9199845072919539649e-857j)  +/-  (4.04e-235, 4.04e-235j)
| (0.99644249757395444995 + 3.2757725366577294947e-872j)  +/-  (4.01e-235, 4.01e-235j)
| (0.83704420841933939729 + 2.3269990696479675094e-877j)  +/-  (3.05e-237, 3.05e-237j)
| (0.9692313473595943673 - 4.9605331878406507884e-874j)  +/-  (3.72e-235, 3.72e-235j)
| (-0.73561087801363177203 - 9.6895374253467710903e-878j)  +/-  (3.97e-239, 3.97e-239j)
| (-0.89210868887681189616 - 2.6788578492963557263e-874j)  +/-  (2.84e-236, 2.84e-236j)
| (0.98130316537087275369 + 5.2501991084628792999e-878j)  +/-  (4.56e-235, 4.56e-235j)
| (0.86589252257439504894 + 2.1737954862633313157e-879j)  +/-  (9.89e-237, 9.89e-237j)
| (0.80564137091717917145 + 2.097156841664077187e-880j)  +/-  (8.51e-238, 8.51e-238j)
| (-0.99940952746445818543 + 2.4640804545679645205e-875j)  +/-  (1.47e-235, 1.47e-235j)
| (-0.80564137091717917145 + 1.0421023441244598957e-899j)  +/-  (8.94e-238, 8.94e-238j)
| (0.99940952746445818543 - 2.028745809387767715e-896j)  +/-  (1.5e-235, 1.5e-235j)
| (0.95425928062893819725 - 8.2890852771673060746e-898j)  +/-  (2.41e-235, 2.41e-235j)
| (0.73561087801363177203 - 4.1149236126234548058e-902j)  +/-  (3.93e-239, 3.93e-239j)
| (-0.99041724360703692134 + 6.2458268456488959823e-897j)  +/-  (5.25e-235, 5.25e-235j)
| (-0.86589252257439504894 + 1.1595798504179935473e-913j)  +/-  (1.03e-236, 1.03e-236j)
| (-0.69719317194489782951 - 1.0689984815901130955e-923j)  +/-  (7.4e-240, 7.4e-240j)
| (0.27206162763517807768 - 4.1341924590471762368e-933j)  +/-  (3.36e-249, 3.36e-249j)
| (0.69719317194489782951 - 7.089297330148696433e-923j)  +/-  (7.21e-240, 7.21e-240j)
| (0.89210868887681189616 + 1.3703626069161324691e-920j)  +/-  (2.73e-236, 2.73e-236j)
| (-0.9692313473595943673 - 4.0606786215254283024e-924j)  +/-  (3.75e-235, 3.75e-235j)
| (-0.61411561772988414366 - 2.4422535235289106119e-943j)  +/-  (1.54e-241, 1.54e-241j)
| (-0.77179344724343383203 - 2.0668786415805992186e-942j)  +/-  (1.86e-238, 1.86e-238j)
| (0.77179344724343383203 - 1.0623361802676802297e-945j)  +/-  (2e-238, 2e-238j)
| (0.65665109403886496122 + 1.3619405703620364883e-948j)  +/-  (1.18e-240, 1.18e-240j)
| (0.055079289884034270427 - 3.740840587880920821e-963j)  +/-  (1.94e-254, 1.94e-254j)
| (-0.65665109403886496122 + 4.4623190109657472089e-951j)  +/-  (1.21e-240, 1.21e-240j)
| (-0.47587422495511826103 - 2.0131038050867383278e-956j)  +/-  (1.62e-244, 1.62e-244j)
| (0.10999164929073278103 + 1.8925533336171163339e-964j)  +/-  (4.71e-253, 4.71e-253j)
| (0.61411561772988414366 - 8.081176962152100416e-952j)  +/-  (1.47e-241, 1.47e-241j)
| (0.56972047181140171931 + 3.3031448873523553383e-955j)  +/-  (1.79e-242, 1.79e-242j)
| (-0.32465063705782044584 - 3.4260530113561415118e-961j)  +/-  (6.63e-248, 6.63e-248j)
| (-0.56972047181140171931 - 2.8793581588247789029e-955j)  +/-  (1.73e-242, 1.73e-242j)
| (-0.16456928213338077128 - 2.5971411853913204332e-966j)  +/-  (9.18e-252, 9.18e-252j)
| (0.52359446544283302011 - 3.2640357172502675543e-960j)  +/-  (2.01e-243, 2.01e-243j)
| (0.42670929193110720981 - 4.6605088914646149893e-960j)  +/-  (1.33e-245, 1.33e-245j)
| (-0.10999164929073278103 - 1.0246901858135947548e-968j)  +/-  (4.71e-253, 4.71e-253j)
| (-0.52359446544283302011 + 3.8019585992729702336e-959j)  +/-  (1.95e-243, 1.95e-243j)
| (-0.27206162763517807768 + 5.6758159275789065014e-968j)  +/-  (3.55e-249, 3.55e-249j)
| (0.16456928213338077128 + 2.8589364750045476669e-969j)  +/-  (9.55e-252, 9.55e-252j)
| (0.47587422495511826103 - 1.5818002464498752382e-960j)  +/-  (1.65e-244, 1.65e-244j)
| (0.21864676577754044014 - 2.043481740742500411e-969j)  +/-  (1.99e-250, 1.99e-250j)
| (-0.21864676577754044014 - 1.2037963247275353687e-967j)  +/-  (1.91e-250, 1.91e-250j)
| (-0.37625151608907871022 + 1.794724245948637034e-963j)  +/-  (9.99e-247, 9.99e-247j)
| (-0.055079289884034270427 - 3.9232160581599288878e-972j)  +/-  (1.94e-254, 1.94e-254j)
| (0.37625151608907871022 + 2.6325309713190191874e-963j)  +/-  (9.16e-247, 9.16e-247j)
| (0.32465063705782044584 + 1.88020649833657348e-964j)  +/-  (6.73e-248, 6.73e-248j)
| (-1.5184162409984477558e-982 - 2.1055023446646776253e-982j)  +/-  (1.48e-980, 1.48e-980j)
| (-0.42670929193110720981 + 2.2611791513226011231e-962j)  +/-  (1.46e-245, 1.46e-245j)
-------------------------------------------------
The weights are:
| (0.0075908010531040396049 + 1.6140121514250205854e-818j)  +/-  (7.5e-53, 2.66e-164j)
| (0.030141813915294599688 + 1.518750141932861934e-819j)  +/-  (3.8e-53, 1.35e-164j)
| (0.019325780376825872893 + 8.8409753624259957598e-820j)  +/-  (2.05e-53, 7.27e-165j)
| (0.010611858842171326615 - 4.7476072259009725846e-820j)  +/-  (3.89e-54, 1.38e-165j)
| (0.022153023381841145405 - 2.7086432395520386077e-818j)  +/-  (5.08e-55, 1.8e-166j)
| (0.019325780376825872893 + 3.2750609483726562969e-818j)  +/-  (3.99e-55, 1.41e-166j)
| (0.016424885799840213021 - 7.4751975650541932943e-820j)  +/-  (6.35e-54, 2.25e-165j)
| (0.022153023381841145405 - 1.0164550771853730883e-819j)  +/-  (4.91e-54, 1.74e-165j)
| (0.0044549362966924267686 - 2.0970779834872860904e-820j)  +/-  (2.74e-55, 9.72e-167j)
| (0.0044549362966924267686 + 7.0960982731619839735e-818j)  +/-  (4.76e-56, 1.69e-167j)
| (0.030141813915294599688 + 1.7998685726867743991e-818j)  +/-  (3.64e-57, 1.29e-168j)
| (0.013522665331363148213 + 5.8447676967144810965e-818j)  +/-  (2.75e-56, 9.76e-168j)
| (0.03731677506601805857 - 2.0464486281890318713e-819j)  +/-  (3.2e-58, 1.13e-169j)
| (0.024881274360962674795 + 1.1319493168152406826e-819j)  +/-  (1.45e-56, 5.12e-168j)
| (0.010611858842171326615 - 1.0569622773064481101e-817j)  +/-  (3.64e-56, 1.29e-167j)
| (0.02754214083878344155 - 2.0272634223821065346e-818j)  +/-  (1.13e-57, 4e-169j)
| (0.032644878891020445409 - 1.6172759794927280892e-818j)  +/-  (1.3e-58, 4.63e-170j)
| (0.0015907360407068128931 + 7.1370079023381891708e-821j)  +/-  (2.89e-58, 1.02e-169j)
| (0.032644878891020445409 - 1.8490400163622413049e-819j)  +/-  (4.33e-59, 1.53e-170j)
| (0.0015907360407068128931 - 1.6198157749299264943e-818j)  +/-  (2.95e-57, 1.05e-168j)
| (0.016424885799840213021 - 4.1727385540862502019e-818j)  +/-  (3.24e-57, 1.15e-168j)
| (0.03731677506601805857 - 1.3419059495345363867e-818j)  +/-  (1.82e-61, 6.46e-173j)
| (0.0075908010531040396049 + 3.4159590822966113515e-820j)  +/-  (1.66e-58, 5.87e-170j)
| (0.02754214083878344155 - 1.191293363983176092e-819j)  +/-  (3.14e-59, 1.11e-170j)
| (0.039500362038311021058 + 2.1940369960034677655e-819j)  +/-  (2.33e-62, 8.26e-174j)
| (0.053029282478558707299 - 6.7678521492892803073e-819j)  +/-  (4.07e-66, 1.44e-177j)
| (0.039500362038311021058 + 1.2339777427161552842e-818j)  +/-  (3.62e-63, 1.28e-174j)
| (0.024881274360962674795 + 2.317778184560187258e-818j)  +/-  (1.14e-59, 4.04e-171j)
| (0.013522665331363148213 + 6.1220353685995546444e-820j)  +/-  (2.04e-59, 7.22e-171j)
| (0.043486965463534754693 + 2.5168754622810117533e-819j)  +/-  (4.53e-65, 1.6e-176j)
| (0.035032322351843966845 + 1.9165373228085703131e-819j)  +/-  (8.02e-62, 2.84e-173j)
| (0.035032322351843966845 + 1.4676751534498601352e-818j)  +/-  (1.68e-62, 5.94e-174j)
| (0.041561540422930381802 - 1.1404650532230182236e-818j)  +/-  (8.43e-65, 2.99e-176j)
| (0.055023774809077271037 - 5.3978192706429469913e-819j)  +/-  (2.69e-69, 9.53e-181j)
| (0.041561540422930381802 - 2.3515233431193196363e-819j)  +/-  (8.19e-65, 2.9e-176j)
| (0.048468123831894560567 - 3.050637381415432202e-819j)  +/-  (3.01e-68, 1.07e-179j)
| (0.054772896844694716781 + 5.7070559416738219564e-819j)  +/-  (1.82e-69, 6.44e-181j)
| (0.043486965463534754693 + 1.0587353597558723172e-818j)  +/-  (3.89e-67, 1.38e-178j)
| (0.045282174971778382487 - 9.8634201072415600037e-819j)  +/-  (4.23e-68, 1.5e-179j)
| (0.052121534240287052656 + 3.6475858288891636655e-819j)  +/-  (3.23e-71, 1.14e-182j)
| (0.045282174971778382487 - 2.688692568179411891e-819j)  +/-  (1.4e-68, 4.96e-180j)
| (0.05435477987643812226 - 4.3240085535656382477e-819j)  +/-  (4.77e-72, 1.69e-183j)
| (0.046947174743596009055 + 9.2149659124416897727e-819j)  +/-  (4.23e-70, 1.5e-181j)
| (0.049836344907779101815 + 8.1024557586182392108e-819j)  +/-  (1.65e-71, 5.84e-183j)
| (0.054772896844694716781 + 4.5714088475257369429e-819j)  +/-  (1.02e-72, 3.63e-184j)
| (0.046947174743596009055 + 2.8664010137252777582e-819j)  +/-  (1.02e-70, 3.6e-182j)
| (0.053029282478558707299 - 3.8629797238059504424e-819j)  +/-  (1.2e-72, 4.24e-184j)
| (0.05435477987643812226 - 6.0367017329712089485e-819j)  +/-  (2.84e-73, 1.01e-184j)
| (0.048468123831894560567 - 8.6310299749422411283e-819j)  +/-  (1.53e-72, 5.41e-184j)
| (0.053773208209074282641 + 6.3892040165182749306e-819j)  +/-  (1.72e-73, 6.09e-185j)
| (0.053773208209074282641 + 4.0882000974517109811e-819j)  +/-  (7.58e-74, 2.69e-185j)
| (0.051054436965688590212 - 3.4409735804489824577e-819j)  +/-  (4.33e-74, 1.53e-185j)
| (0.055023774809077271037 - 4.8318243467491265294e-819j)  +/-  (1.3e-74, 4.62e-186j)
| (0.051054436965688590212 - 7.6200699438488383347e-819j)  +/-  (7.36e-75, 2.6e-186j)
| (0.052121534240287052656 + 7.1767657515163186989e-819j)  +/-  (5.69e-75, 2.01e-186j)
| (0.055107015299777746736 + 5.1067521125793066387e-819j)  +/-  (2.82e-75, 1.02e-186j)
| (0.049836344907779101815 + 3.2421130924686565296e-819j)  +/-  (1.81e-75, 5.96e-187j)
