Starting with polynomial:
P : 1879204156221315/33554432*t^29 - 6692604275665385/16777216*t^27 + 42710983650155457/33554432*t^25 - 20146690401016725/8388608*t^23 + 99943385714847675/33554432*t^21 - 42832879592077575/16777216*t^19 + 51946258228689825/33554432*t^17 - 2803448856786435/4194304*t^15 + 6845630929362225/33554432*t^13 - 723521968143975/16777216*t^11 + 204070298707275/33554432*t^9 - 4512611027925/8388608*t^7 + 902522205585/33554432*t^5 - 10518906825/16777216*t^3 + 145422675/33554432*t
Extension levels are: 29 30
-------------------------------------------------
Trying to find an order 30 Kronrod extension for:
P1 : 1879204156221315/33554432*t^29 - 6692604275665385/16777216*t^27 + 42710983650155457/33554432*t^25 - 20146690401016725/8388608*t^23 + 99943385714847675/33554432*t^21 - 42832879592077575/16777216*t^19 + 51946258228689825/33554432*t^17 - 2803448856786435/4194304*t^15 + 6845630929362225/33554432*t^13 - 723521968143975/16777216*t^11 + 204070298707275/33554432*t^9 - 4512611027925/8388608*t^7 + 902522205585/33554432*t^5 - 10518906825/16777216*t^3 + 145422675/33554432*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 1879204156221315/33554432*t^59 - 1690327654274088445/2046820352*t^57 + 360781177118241010311/62428020736*t^55 - 1264093933764873046170445/49505420443648*t^53 + 679367779092575787417331770235/8497803440833953792*t^51 - 749951074165949798186885104618145/3974139409163345723392*t^49 + 136592823479667109176647183690744468465/391572949519716744962244608*t^47 - 8126294850122682407549507815681320978648487/15693069097901687987851877154816*t^45 + 125323628242382925261050596505499309106597081365/199539117254164174064201934898724864*t^43 - 897158339686468223545002700895222449446845045894215/1424110679842969710296209209372199354368*t^41 + 873385847545677970447947294430254462492530960215764665047/1657363631928429954691059871461457828320903168*t^39 - 740350801681511867672795482482033769544288292368389601/2002717488711282011769866923380062350737408*t^37 + 483490936814322497065713906947269177149792715076336530127824163566943/2215797718614181651045977631173682115659566491158582394880*t^35 - 17223029904446258245822062001646527170257439665760341001538465938089/158704885521094028235387047555688386366223353378481635328*t^33 + 138869407032140248636511524448306484613033705048087800172033586285972516693/3054560192129154472424253112584649030173996750316361999217328128*t^31 - 26462486145961205762693808863211413015500478838287581121681397748472880357493955/1652792992545894903202196591439465271953191292960930419610503815888896*t^29 + 8305604190489999992969911824759092891679683533003100771846345106199134626246645/1758636878768045808333371742615391619418173986598822515447629676019712*t^27 - 29072896984708467804714117965109971330296062656523345924780599802344880645149/25051807389858202397911278384834638453250341689441916174467659202560*t^25 + 590742879715114665467341564633907647135235207213114846832390771549560301755/2505180738985820239791127838483463845325034168944191617446765920256*t^23 - 12821656665504493682811959814068952477300554129673841398840309122968179685/326762705085106987798842761541321371129352282905764124014795554816*t^21 + 164333022139265855236992897983850061912359247225369091192729323418593105/31120257627153046457032643956316321059938312657691821334742433792*t^19 - 6037504845393764603335705676382621621668643540387109505184673013773053245/10674248366113494934762196877016498123558841241588294717816654790656*t^17 + 378162599181580286508139119506335533554296193037215750328410213822102893/8005686274585121201071647657762373592669130931191221038362491092992*t^15 - 1141467518367684669225771008848894637505801948917465964446930163020635/381223155932624819098649888464874932984244330056724811350594813952*t^13 + 16301997304053673146314499277122313353789459845202191479732646951735/117299432594653790491892273373807671687459793863607634261721481216*t^11 - 61690129095094753248580642499392916301952270126910762421082164805505/13724033613574493487551395984735497587432795882042093208621413302272*t^9 + 71879215283593652565317467178970737052050575862191312301660840405/762446311865249638197299776929749865968488660113449622701189627904*t^7 - 1757098861613021985082082661361478712748749843024832349946319/1534097206972333276050904983762072164926536539463681333402796032*t^5 + 2745770343773126031456027753150337217905643122529183853931043545/416295686278426302455725678203643426818794808421943493994849536835584*t^3 - 1577479406118044017005675656259851708249785510190788130519105/138765228759475434151908559401214475606264936140647831331616512278528*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:
| (0.99105540572280567469 - 2.9034524169549240677e-869j)  +/-  (3.3e-234, 3.3e-234j)
| (-0.99667944226059658616 - 1.3505100040085820854e-879j)  +/-  (2.55e-234, 2.55e-234j)
| (-0.94057891600297289495 - 9.1959751688082934137e-893j)  +/-  (9.01e-235, 9.01e-235j)
| (0.99667944226059658616 - 1.1811352308320722077e-894j)  +/-  (2.31e-234, 2.31e-234j)
| (0.92118023295305878509 + 6.2586070656320799906e-901j)  +/-  (4.37e-235, 4.37e-235j)
| (0.94057891600297289495 + 8.7122803890297130238e-901j)  +/-  (8.92e-235, 8.92e-235j)
| (-0.99105540572280567469 + 1.0186818224275932993e-897j)  +/-  (3.24e-234, 3.24e-234j)
| (-0.89917427059277965375 + 4.5626322123358370999e-910j)  +/-  (1.89e-235, 1.89e-235j)
| (-0.98254550526141317487 + 6.0891697074469217431e-915j)  +/-  (2.84e-234, 2.84e-234j)
| (0.99944866788205071899 - 4.0552722870855116939e-920j)  +/-  (9.29e-235, 9.29e-235j)
| (0.84761991976097683151 + 4.9956412033585086127e-929j)  +/-  (2.23e-236, 2.23e-236j)
| (0.971271237101307077 + 7.0744400010318008579e-926j)  +/-  (2.41e-234, 2.41e-234j)
| (-0.92118023295305878509 - 9.2963707657049952417e-930j)  +/-  (4.44e-235, 4.44e-235j)
| (-0.87463780492010279042 - 2.8620298037778179118e-938j)  +/-  (7.3e-236, 7.3e-236j)
| (0.9572855957780877258 + 5.8194625675048324217e-937j)  +/-  (1.56e-234, 1.56e-234j)
| (0.81818548761525244499 + 1.4005248917188716505e-940j)  +/-  (7.19e-237, 7.19e-237j)
| (0.89917427059277965375 - 7.2744811133335446887e-940j)  +/-  (1.9e-235, 1.9e-235j)
| (-0.71635866532758255758 - 3.0488715359170440165e-941j)  +/-  (6.74e-239, 6.74e-239j)
| (-0.78643319958049546222 - 7.3075006368538505152e-940j)  +/-  (1.6e-237, 1.6e-237j)
| (-0.9572855957780877258 - 6.9506156889075210591e-936j)  +/-  (1.61e-234, 1.61e-234j)
| (-0.59628179713822782038 + 5.7749981351783948388e-947j)  +/-  (2.03e-241, 2.03e-241j)
| (0.71635866532758255758 - 1.0985033418955690233e-944j)  +/-  (6.57e-239, 6.57e-239j)
| (-0.99944866788205071899 - 5.3006114907598962207e-938j)  +/-  (9.58e-235, 9.58e-235j)
| (-0.84761991976097683151 - 1.6062076531161555434e-945j)  +/-  (2.31e-236, 2.31e-236j)
| (-0.81818548761525244499 + 7.092267597057978749e-947j)  +/-  (6.73e-237, 6.73e-237j)
| (0.87463780492010279042 - 4.6190459560495428557e-948j)  +/-  (6.94e-236, 6.94e-236j)
| (0.75246285173447713391 + 4.8149561010460253915e-951j)  +/-  (3.47e-238, 3.47e-238j)
| (0.78643319958049546222 + 5.3231369848085571385e-950j)  +/-  (1.64e-237, 1.64e-237j)
| (-0.971271237101307077 - 8.5623597992926617303e-950j)  +/-  (2.4e-234, 2.4e-234j)
| (-0.67821453760268651516 + 1.4783920138406444932e-969j)  +/-  (1.13e-239, 1.13e-239j)
| (-0.053211772204649315908 + 6.7931891029136289085e-983j)  +/-  (1.65e-254, 1.65e-254j)
| (0.67821453760268651516 - 1.1344734207383446664e-967j)  +/-  (1.21e-239, 1.21e-239j)
| (0.63814856847884718007 - 2.8613007313721929097e-970j)  +/-  (1.73e-240, 1.73e-240j)
| (0.10627823013267923017 + 1.7518095066738738197e-982j)  +/-  (4.13e-253, 4.13e-253j)
| (-0.63814856847884718007 - 1.5670096261679994675e-969j)  +/-  (1.62e-240, 1.62e-240j)
| (-0.75246285173447713391 - 1.3519490945103144659e-970j)  +/-  (3.84e-238, 3.84e-238j)
| (0.98254550526141317487 + 3.9954463725632486112e-977j)  +/-  (3.09e-234, 3.09e-234j)
| (0.59628179713822782038 - 8.2175201983779182315e-1004j)  +/-  (2.19e-241, 2.19e-241j)
| (0.41315288817400866389 - 2.3194192300667172688e-1009j)  +/-  (1.69e-245, 1.69e-245j)
| (-0.31403163786763993495 - 1.3599158411474291518e-1011j)  +/-  (6.87e-248, 6.87e-248j)
| (-0.55272435770131951698 + 2.7349809529006916051e-1006j)  +/-  (2.34e-242, 2.34e-242j)
| (-0.15904347800452204528 - 1.2092636419243904986e-1015j)  +/-  (1.05e-251, 1.05e-251j)
| (0.46102304538823387703 + 1.3318856132618205262e-1007j)  +/-  (2.18e-244, 2.18e-244j)
| (0.55272435770131951698 + 1.0529329901791173303e-1006j)  +/-  (2.32e-242, 2.32e-242j)
| (-0.10627823013267923017 + 7.5688686629135624956e-1019j)  +/-  (4.22e-253, 4.22e-253j)
| (-0.5075929551242276421 - 3.0812772903235221831e-1009j)  +/-  (2.38e-243, 2.38e-243j)
| (-0.3641113787133778382 + 6.3516074273681515763e-1014j)  +/-  (1.08e-246, 1.08e-246j)
| (0.15904347800452204528 + 8.5352118490854142579e-1018j)  +/-  (9.7e-252, 9.7e-252j)
| (0.5075929551242276421 - 5.3871519512307324374e-1011j)  +/-  (2.51e-243, 2.51e-243j)
| (0.21135228616600107451 - 6.8297302585442856699e-1019j)  +/-  (2.06e-250, 2.06e-250j)
| (-0.21135228616600107451 - 5.1747126075124561177e-1019j)  +/-  (1.95e-250, 1.95e-250j)
| (-0.46102304538823387703 + 1.1353142645197084497e-1011j)  +/-  (1.99e-244, 1.99e-244j)
| (0.053211772204649315908 - 4.8467867302143786174e-1022j)  +/-  (1.65e-254, 1.65e-254j)
| (0.3641113787133778382 + 9.0739691073817474003e-1016j)  +/-  (1.2e-246, 1.2e-246j)
| (0.31403163786763993495 + 7.6057324833243387791e-1017j)  +/-  (6.97e-248, 6.97e-248j)
| (-1.4840417972265532975e-1031 + 7.8652255124382152614e-1032j)  +/-  (9.91e-1030, 9.91e-1030j)
| (-0.41315288817400866389 - 7.2091587651374106302e-1013j)  +/-  (1.62e-245, 1.62e-245j)
| (-0.2630618962952171376 + 3.1508024434004884013e-1017j)  +/-  (3.91e-249, 3.91e-249j)
| (0.2630618962952171376 + 2.7794443781798579237e-1018j)  +/-  (4.05e-249, 4.05e-249j)
-------------------------------------------------
The weights are:
| (0.0070863645879019408142 + 5.1122808605632575297e-870j)  +/-  (3.31e-42, 2.37e-153j)
| (0.0041577424473933126925 - 6.367357238814815554e-872j)  +/-  (7.65e-43, 5.49e-154j)
| (0.01806382614654310456 + 2.7151857458140525236e-871j)  +/-  (7.26e-43, 5.21e-154j)
| (0.0041577424473933126925 + 2.2504508476626463384e-869j)  +/-  (1.28e-42, 9.21e-154j)
| (0.020717940357934998911 - 8.59466418468918894e-870j)  +/-  (2.12e-43, 1.52e-154j)
| (0.01806382614654310456 + 1.0390472866833994606e-869j)  +/-  (2.6e-43, 1.87e-154j)
| (0.0070863645879019408142 + 1.0380309008488399164e-871j)  +/-  (2.59e-44, 1.86e-155j)
| (0.023280815016891586368 + 3.5760066374243083022e-871j)  +/-  (1.54e-45, 1.11e-156j)
| (0.0099097535578796565065 - 1.44500705014137806e-871j)  +/-  (1.38e-44, 9.89e-156j)
| (0.0014850323041236489082 - 5.1371213609881737011e-870j)  +/-  (1.54e-44, 1.11e-155j)
| (0.028240351564686208758 + 5.7164736087866216856e-870j)  +/-  (7.78e-47, 5.59e-158j)
| (0.012630296294620668202 + 1.8535762106091366044e-869j)  +/-  (2.16e-45, 1.55e-156j)
| (0.020717940357934998911 - 3.1405838973528332271e-871j)  +/-  (5.78e-47, 4.15e-158j)
| (0.025784977378141956107 - 4.0166126781227465599e-871j)  +/-  (7.82e-48, 5.61e-159j)
| (0.015344904173766641986 - 1.3236780824203091178e-869j)  +/-  (1.74e-45, 1.25e-156j)
| (0.030611279042093365703 - 5.1380755162777277622e-870j)  +/-  (1.77e-48, 1.27e-159j)
| (0.023280815016891586368 + 7.3567592013270940629e-870j)  +/-  (7.04e-47, 5.05e-158j)
| (0.037142080202205204433 + 6.3159994046801237848e-871j)  +/-  (1.68e-51, 1.2e-162j)
| (0.032876304939190425453 + 5.3702052878000987162e-871j)  +/-  (5.28e-51, 3.79e-162j)
| (0.015344904173766641986 - 2.29427791823580645e-871j)  +/-  (2.81e-49, 2.02e-160j)
| (0.042730138674852857755 - 7.8181061729186652167e-871j)  +/-  (1.98e-53, 1.42e-164j)
| (0.037142080202205204433 + 3.9257933086296219858e-870j)  +/-  (1.88e-54, 1.35e-165j)
| (0.0014850323041236489082 + 2.1661450244401438156e-872j)  +/-  (1.79e-49, 1.28e-160j)
| (0.028240351564686208758 + 4.4594342413031620849e-871j)  +/-  (1.03e-50, 7.39e-162j)
| (0.030611279042093365703 - 4.9093445621066773242e-871j)  +/-  (3.23e-51, 2.32e-162j)
| (0.025784977378141956107 - 6.4369708245354272281e-870j)  +/-  (2.91e-52, 2.09e-163j)
| (0.035050966880031063782 - 4.2673279855341266654e-870j)  +/-  (6.74e-55, 4.84e-166j)
| (0.032876304939190425453 + 4.6649280562608551088e-870j)  +/-  (2.99e-54, 2.15e-165j)
| (0.012630296294620668202 + 1.8687747304061022911e-871j)  +/-  (1.38e-51, 9.87e-163j)
| (0.039125979732499542715 - 6.8030242850333668884e-871j)  +/-  (5.11e-56, 3.67e-167j)
| (0.053164222816562782182 + 1.4781637736255888488e-870j)  +/-  (4.32e-61, 3.1e-172j)
| (0.039125979732499542715 - 3.6299873569627780804e-870j)  +/-  (2.5e-57, 1.8e-168j)
| (0.040985473885519458795 + 3.3719769824644060315e-870j)  +/-  (1.97e-58, 1.41e-169j)
| (0.052942446335892923789 - 1.737053225234000494e-870j)  +/-  (1.71e-62, 1.23e-173j)
| (0.040985473885519458795 + 7.3041420915546724838e-871j)  +/-  (1.95e-58, 1.4e-169j)
| (0.035050966880031063782 - 5.8396445161155398099e-871j)  +/-  (8.29e-57, 5.95e-168j)
| (0.0099097535578796565065 - 3.3512345130350806751e-869j)  +/-  (2.26e-55, 1.62e-166j)
| (0.042730138674852857755 - 3.1435664675356116428e-870j)  +/-  (5.26e-60, 3.78e-171j)
| (0.048476941720340296566 - 2.4360403455898581126e-870j)  +/-  (8.55e-63, 6.14e-174j)
| (0.050550314528831236503 - 1.1243945066181092299e-870j)  +/-  (5.66e-64, 4.06e-175j)
| (0.044365570750096334647 + 8.344022035767218123e-871j)  +/-  (1.84e-61, 1.32e-172j)
| (0.052561898412751483765 + 1.3269378238238561193e-870j)  +/-  (1.93e-64, 1.39e-175j)
| (0.047242220937602114124 + 2.5878710590279653481e-870j)  +/-  (2.09e-63, 1.5e-174j)
| (0.044365570750096334647 + 2.9387223243025765794e-870j)  +/-  (2.71e-62, 1.94e-173j)
| (0.052942446335892923789 - 1.400581369496995876e-870j)  +/-  (7.27e-65, 5.22e-176j)
| (0.045874275756911573124 - 8.8855023877904378088e-871j)  +/-  (8.29e-64, 5.95e-175j)
| (0.049584147152819733354 + 1.062343126769320213e-870j)  +/-  (4.88e-65, 3.5e-176j)
| (0.052561898412751483765 + 1.83424018222476957e-870j)  +/-  (1.45e-66, 1.04e-177j)
| (0.045874275756911573124 - 2.754349085571641044e-870j)  +/-  (1.18e-64, 8.46e-176j)
| (0.052032173184001801295 - 1.9379038112017434197e-870j)  +/-  (5.77e-67, 4.15e-178j)
| (0.052032173184001801295 - 1.2566367108653855563e-870j)  +/-  (8.25e-67, 5.93e-178j)
| (0.047242220937602114124 + 9.4461522017040601017e-871j)  +/-  (3.27e-66, 2.35e-177j)
| (0.053164222816562782182 + 1.6459011472876650813e-870j)  +/-  (2.44e-67, 1.75e-178j)
| (0.049584147152819733354 + 2.2963008768609062198e-870j)  +/-  (1.4e-67, 1e-178j)
| (0.050550314528831236503 - 2.1674759026992616457e-870j)  +/-  (4.67e-68, 3.36e-179j)
| (0.053235357903011630523 - 1.5598672763307065244e-870j)  +/-  (3.87e-68, 2.83e-179j)
| (0.048476941720340296566 - 1.002553435135146934e-870j)  +/-  (1.58e-68, 1.16e-179j)
| (0.05136388226640826294 + 1.1891438534651400759e-870j)  +/-  (1.19e-68, 8.82e-180j)
| (0.05136388226640826294 + 2.0485428260435403107e-870j)  +/-  (1.03e-68, 7.08e-180j)
