Starting with polynomial:
P : 88179/256*t^11 - 230945/256*t^9 + 109395/128*t^7 - 45045/128*t^5 + 15015/256*t^3 - 693/256*t
Extension levels are: 11 46
-------------------------------------------------
Trying to find an order 46 Kronrod extension for:
P1 : 88179/256*t^11 - 230945/256*t^9 + 109395/128*t^7 - 45045/128*t^5 + 15015/256*t^3 - 693/256*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 88179/256*t^57 - 759261712280963421933574849161977543067004557081066332655600668918241860364657/156319036333113912850747161729039582263670455587408166347693033471911205888*t^55 + 111132987508798265071881177701599049257735135946404473286342335454510059175416087005/3426044319312857627949825543615360524472865375109224781842388214603877899447296*t^53 - 4877128938355358327348034715096048366616409281706566809401546132393296219927394885519865/35737068294752417917144630245451825630776458727764323699397951466533050369134744576*t^51 + 559773003260931573485969811709312332041126272489310218449785873344735281750275857769326525/1379143420536198149512172881192759163321039896494044707066013417348248578223920411648*t^49 - 9321981580939392368741356460359959370927591026239335084628116470861128478048059164207698000295/10269988501511447548649468527356337218122026594942403060410935485629068501827026762538496*t^47 + 1513955553678227428487308195421567822730198267672373904405456757382727995635459656753323393829035/955108930640564622024400573044139361285348473329643484618217000163503370669913488916080128*t^45 - 3057112663701121629257036891436355185651524017486136948678326779939827037786498230637877262044225/1379601788703037787368578605508201299634392239253929477781869000236171535412097261767671296*t^43 + 309701061640021968502952076868414661405534457742751037659339427008445331394912931321951179758906075/122784559194570363075803495890229915667460909293599723522586341021019266651676656297322745344*t^41 - 50532082704327395266114435452786274225202361912284825470559790101762070306983403443792096141927323325/21364513299855243175189808284900005326138198217086351892930023337657352397391738195734157689856*t^39 + 1435206732570635694941684134585972690696005762229825728099165860578896211693341082663313094320245/779243290653800312769077881785024084551125149253614614762009823746484020767835218869101568*t^37 - 25807110227253311993271156552881804880298997409985490502481681204602211451075437325507622062868695/21559064374755141986611154729385666339247795796016671008415605123652724574576774388711810048*t^35 + 1137064152511603421636343868631576163602085748355715432518761771291916103819129939445297452417512675/1746284214355166500915503533080238973479071459477350351681664015015870690540718725485656613888*t^33 - 110010075544174993637095577865981981219018270317079031155535068611920720578256299264093280680744425/370850679930263853689045105143384083077544745426641606943149078457671463851389191702599119616*t^31 + 125781939667818269832142976922946174073034440886901359772547247186299239540861684614524993653445275/1112552039790791561067135315430152249232634236279924820829447235373014391554167575107797358848*t^29 - 4136297045023147472299144877959567084971841012394767619385262586012821685628711289301877866734235/115091590323185333903496756768636439575789748580681878016839369176518730160775956045634209536*t^27 + 1475361441713948439512766205042080539416485310095546278567313465586675556380428379358726679944495/155586779510972766202875245261304816463567623081292168430171739812701246328456385024653653632*t^25 - 182253112176902548658041494274372184913902977428920338683408387738493999740933263477755253313656875/88373290762232531203233139308421135751306409910173951668337548213614307914563226694003275262976*t^23 + 97106252003692357034343028784992776498530188504637363916788729731440853401019406470433902642228625/265119872286697593609699417925263407253919229730521855005012644640842923743689680082009825788928*t^21 - 4637833816292061187675594869014732251129968987406287762330084690708808810014292659811014550191025/88373290762232531203233139308421135751306409910173951668337548213614307914563226694003275262976*t^19 + 40119724491523319622522548217018251519433811750191235847525736570405570343295450371752924597995/6718437309409490676269186029295174062964814788492756559581217115654888905785508462117208060928*t^17 - 15985345358728201938087931463567385625271418550946447975802821125659030058285528965127889375365/30232967892342708043211337131828283283341666548217404518115477020447000076034788079527436274176*t^15 + 9252220055495180083637205890420203672127850735863397430340520416748258162588798281281212568771425/260853406193787589742165551366429075755703381385414012560580126340974544100481044304393778777620992*t^13 - 1793452701702955194562806134979407936725947743908360539176206317627828820133045396514095613491525/1031115325227552432901413705525363567441279122945321394563285710325489947275598768180891537450993152*t^11 + 108115696176134125878716426851218586800816849579258455735718160437797187725561301686893913936231525/1821980779677085148936798017663317423668740210244382904193325850145140736835983023375635346675904899584*t^9 - 530652958316410493905080375100784447373471751252868053357584509599325682637598366621336635171631/404884617706018921985955115036292760815275602276529534265183522254475719296885116305696743705756644352*t^7 + 6777845239928096144552250085600902123940874787087905383591861439824246157971460515493539175551/404884617706018921985955115036292760815275602276529534265183522254475719296885116305696743705756644352*t^5 - 122861454721626867942225073101456718712940387595320697070098709687426936557331206235028336335/1214653853118056765957865345108878282445826806829588602795550566763427157890655348917090231117269933056*t^3 + 890181955314206713865701641449252328552099795655971635439120382887224722052058083870195/4878127924168902674529579699232442901388862678030476316447994244029827943335965256695141490430802944*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:
| (0.99517773150949149605 + 1.1047454806917002068e-870j)  +/-  (1.5e-235, 1.5e-235j)
| (-0.93147640686806033658 + 2.5051715975413584316e-883j)  +/-  (1.07e-235, 1.07e-235j)
| (-0.91058449598720274479 - 1.41627898899479205e-883j)  +/-  (5.15e-236, 5.15e-236j)
| (-0.99517773150949149605 - 3.3049713508641433899e-883j)  +/-  (1.43e-235, 1.43e-235j)
| (0.96537282366713347561 - 1.4326059946794281289e-881j)  +/-  (2.32e-235, 2.32e-235j)
| (0.91058449598720274479 - 2.0313604140985414714e-888j)  +/-  (5.19e-236, 5.19e-236j)
| (-0.9782286581460569928 + 2.7382494122304266267e-894j)  +/-  (2.61e-235, 2.61e-235j)
| (-0.86087034530358105589 + 1.1012759357998494664e-896j)  +/-  (8.6e-237, 8.6e-237j)
| (0.99908256323684178661 + 2.8257751585571149469e-892j)  +/-  (4.99e-236, 4.99e-236j)
| (0.93147640686806033658 + 1.7282049157354175037e-904j)  +/-  (9.88e-236, 9.88e-236j)
| (0.86087034530358105589 + 6.8713955733212669744e-917j)  +/-  (8.46e-237, 8.46e-237j)
| (0.9782286581460569928 - 2.4182606864466453111e-929j)  +/-  (2.52e-235, 2.52e-235j)
| (-0.99908256323684178661 - 4.4781246347081748092e-946j)  +/-  (5.16e-236, 5.16e-236j)
| (-0.88706259976809529908 + 8.3402325100880699621e-955j)  +/-  (2.38e-236, 2.38e-236j)
| (0.98820015390876626721 - 1.2097213289953728907e-954j)  +/-  (2.43e-235, 2.43e-235j)
| (0.83199954223615288791 - 8.9370230253540091721e-969j)  +/-  (2.67e-237, 2.67e-237j)
| (0.80050514731905676044 - 2.0251564891277403214e-968j)  +/-  (7.51e-238, 7.51e-238j)
| (-0.98820015390876626721 + 2.7953887386926996158e-963j)  +/-  (2.26e-235, 2.26e-235j)
| (-0.73015200557404932409 + 3.7067649386050749204e-969j)  +/-  (3.79e-239, 3.79e-239j)
| (-0.94975469992948673877 - 1.2120869430061412016e-964j)  +/-  (1.65e-235, 1.65e-235j)
| (0.88706259976809529908 - 2.0402080684460883543e-966j)  +/-  (2.19e-236, 2.19e-236j)
| (0.73015200557404932409 - 5.2050675327557387285e-976j)  +/-  (3.51e-239, 3.51e-239j)
| (-0.69163223854401875069 + 1.1640416891292706212e-977j)  +/-  (6.28e-240, 6.28e-240j)
| (-0.80050514731905676044 - 1.2410448628488836181e-974j)  +/-  (6.98e-238, 6.98e-238j)
| (-0.37312588626162280713 + 5.9666786780967125326e-985j)  +/-  (1.07e-246, 1.07e-246j)
| (0.26954315595234497233 + 1.1963849450074628499e-986j)  +/-  (3.65e-249, 3.65e-249j)
| (0.76650308196363655889 + 2.6417247364953513277e-974j)  +/-  (1.85e-238, 1.85e-238j)
| (0.94975469992948673877 - 1.8462180697453061598e-973j)  +/-  (1.58e-235, 1.58e-235j)
| (-0.96537282366713347561 + 1.0395324603363840659e-986j)  +/-  (2.22e-235, 2.22e-235j)
| (-0.65112471728962944325 - 1.5795529697775495763e-993j)  +/-  (1.05e-240, 1.05e-240j)
| (-0.83199954223615288791 + 1.3834335099938004784e-990j)  +/-  (2.85e-237, 2.85e-237j)
| (0.69163223854401875069 - 2.1644793041487852798e-996j)  +/-  (6.7e-240, 6.7e-240j)
| (0.65112471728962944325 + 5.8148039469699981567e-996j)  +/-  (1.03e-240, 1.03e-240j)
| (0.10868212659497518436 - 1.2051923084770971938e-1008j)  +/-  (4.5e-253, 4.5e-253j)
| (-0.60879008506346990507 + 4.2718868543446375829e-996j)  +/-  (1.45e-241, 1.45e-241j)
| (-0.76650308196363655889 + 2.6007546134994400466e-999j)  +/-  (1.69e-238, 1.69e-238j)
| (0.054389768728458715745 + 1.0151830074677793804e-1014j)  +/-  (1.61e-254, 1.61e-254j)
| (0.60879008506346990507 - 2.3749029697902543553e-1001j)  +/-  (1.47e-241, 1.47e-241j)
| (0.56475229853097072992 + 6.757163517384656631e-1005j)  +/-  (1.8e-242, 1.8e-242j)
| (-0.21643987019364440628 + 2.0543075461043256926e-1014j)  +/-  (1.9e-250, 1.9e-250j)
| (-0.56475229853097072992 - 1.7347317175357665717e-1005j)  +/-  (1.89e-242, 1.89e-242j)
| (-0.16275325376456354625 + 9.1266337081612670833e-1016j)  +/-  (9.59e-252, 9.59e-252j)
| (0.42319154672295271095 - 8.7292016820369970025e-1010j)  +/-  (1.45e-245, 1.45e-245j)
| (0.47188488502503861943 + 8.3044789183009137788e-1008j)  +/-  (1.82e-244, 1.82e-244j)
| (-0.10868212659497518436 - 5.500410585356176786e-1017j)  +/-  (4.36e-253, 4.36e-253j)
| (-0.51909612920681181593 + 5.0166825732461648084e-1007j)  +/-  (1.97e-243, 1.97e-243j)
| (-0.32184444394277959768 + 1.2466037896689658593e-1015j)  +/-  (6.3e-248, 6.3e-248j)
| (0.16275325376456354625 - 4.8211404489506750072e-1017j)  +/-  (9.81e-252, 9.81e-252j)
| (0.51909612920681181593 + 5.0402473569419238596e-1010j)  +/-  (2.09e-243, 2.09e-243j)
| (0.21643987019364440628 - 4.1598938670601551726e-1017j)  +/-  (1.87e-250, 1.87e-250j)
| (-0.26954315595234497233 - 7.0936845466057090154e-1015j)  +/-  (3.5e-249, 3.5e-249j)
| (-0.47188488502503861943 + 9.4623171365884449036e-1011j)  +/-  (1.82e-244, 1.82e-244j)
| (-0.054389768728458715745 + 2.6912258500110603159e-1021j)  +/-  (1.61e-254, 1.61e-254j)
| (0.32184444394277959768 + 2.8814079713182333582e-1014j)  +/-  (6.28e-248, 6.28e-248j)
| (0.37312588626162280713 + 8.6763303617097357399e-1014j)  +/-  (9.85e-247, 9.85e-247j)
| (-4.2468597785476379245e-1028 - 2.8723898895139196766e-1028j)  +/-  (2.92e-1026, 2.92e-1026j)
| (-0.42319154672295271095 - 2.2491356748231809424e-1012j)  +/-  (1.37e-245, 1.37e-245j)
-------------------------------------------------
The weights are:
| (0.0054511657837997395443 - 6.6354962312305035464e-871j)  +/-  (1.08e-54, 4.11e-166j)
| (0.019587062344163492076 + 2.9537106268607437573e-872j)  +/-  (5.11e-55, 1.94e-166j)
| (0.02220022477259497779 - 3.7283163062399842135e-872j)  +/-  (4.47e-55, 1.7e-166j)
| (0.0054511657837997395443 - 3.0256659558853968838e-873j)  +/-  (4.99e-56, 1.89e-167j)
| (0.014256965507394366722 + 1.035663063426436557e-870j)  +/-  (2.5e-56, 9.47e-168j)
| (0.02220022477259497779 - 8.3993529088239233819e-871j)  +/-  (7.68e-57, 2.91e-168j)
| (0.01143379956651599523 - 1.0403511750383617857e-872j)  +/-  (1.22e-56, 4.61e-168j)
| (0.027535037024308313048 - 5.2333559933016589647e-872j)  +/-  (3.13e-57, 1.19e-168j)
| (0.0023531104514441655084 - 4.3073768082790439608e-871j)  +/-  (1.23e-56, 4.68e-168j)
| (0.019587062344163492076 + 8.9335329129173371646e-871j)  +/-  (5.11e-57, 1.94e-168j)
| (0.027535037024308313048 - 7.2321862564529776538e-871j)  +/-  (2.77e-58, 1.05e-169j)
| (0.01143379956651599523 - 1.211296695807833542e-870j)  +/-  (4.73e-57, 1.79e-168j)
| (0.0023531104514441655084 + 8.4339951331333152855e-874j)  +/-  (2.43e-59, 9.21e-171j)
| (0.024851361769850741242 + 4.4959096976498232303e-872j)  +/-  (2.96e-59, 1.12e-170j)
| (0.0084906522200366127226 + 1.7609519167863873923e-870j)  +/-  (5.74e-57, 2.18e-168j)
| (0.030197317679816748372 + 6.6654935090713546642e-871j)  +/-  (1.12e-59, 4.26e-171j)
| (0.032771815960905934281 - 6.1706081196917327377e-871j)  +/-  (1.42e-60, 5.37e-172j)
| (0.0084906522200366127226 + 6.1950769653928107217e-873j)  +/-  (2.8e-59, 1.06e-170j)
| (0.037466234043698443236 - 8.3715173419664434216e-872j)  +/-  (8.66e-63, 3.28e-174j)
| (0.016961577189564722908 - 2.2203038326015792805e-872j)  +/-  (7.67e-60, 2.91e-171j)
| (0.024851361769850741242 + 7.8271953447326890342e-871j)  +/-  (3.66e-59, 1.39e-170j)
| (0.037466234043698443236 - 5.4498965198910848841e-871j)  +/-  (1.17e-62, 4.42e-174j)
| (0.039542785656619103025 + 9.3638147419521817935e-872j)  +/-  (1.68e-63, 6.38e-175j)
| (0.032771815960905934281 - 6.6896457211574651664e-872j)  +/-  (1.7e-62, 6.45e-174j)
| (0.050703396613933934773 - 1.7080443226688657835e-871j)  +/-  (1.46e-66, 5.55e-178j)
| (0.052739383812689072261 - 3.3754687116279175622e-871j)  +/-  (3.56e-67, 1.35e-178j)
| (0.035205517392641906382 + 5.7664651952886251095e-871j)  +/-  (2.49e-62, 9.45e-174j)
| (0.016961577189564722908 - 9.5069412619828929243e-871j)  +/-  (2.55e-60, 9.66e-172j)
| (0.014256965507394366722 + 1.5744476509494555828e-872j)  +/-  (8.92e-61, 3.39e-172j)
| (0.04144518382641411604 - 1.0454188221550669127e-871j)  +/-  (5.89e-65, 2.23e-176j)
| (0.030197317679816748372 + 5.9526964189891715537e-872j)  +/-  (3.16e-62, 1.2e-173j)
| (0.039542785656619103025 + 5.2034954991821002519e-871j)  +/-  (7.36e-65, 2.79e-176j)
| (0.04144518382641411604 - 5.0023557294921983537e-871j)  +/-  (6.59e-66, 2.5e-177j)
| (0.054205531633892955872 + 2.9503258155791453588e-871j)  +/-  (3.94e-70, 1.5e-181j)
| (0.043203358927053177787 + 1.1610342692490498094e-871j)  +/-  (2.42e-67, 9.18e-179j)
| (0.035205517392641906382 + 7.4851493957923217147e-872j)  +/-  (7.44e-65, 2.82e-176j)
| (0.05435877263072972341 - 2.817358209243031883e-871j)  +/-  (1.27e-70, 4.81e-182j)
| (0.043203358927053177787 + 4.8196716922506052952e-871j)  +/-  (3.5e-68, 1.33e-179j)
| (0.04485839794789849918 - 4.632693831876547299e-871j)  +/-  (3.65e-69, 1.38e-180j)
| (0.053430388995563865161 + 2.069553281294387458e-871j)  +/-  (2.08e-72, 7.9e-184j)
| (0.04485839794789849918 - 1.2782812113649675518e-871j)  +/-  (2.72e-70, 1.03e-181j)
| (0.053909427860666874885 - 2.2151652765006169851e-871j)  +/-  (1.3e-72, 4.92e-184j)
| (0.049401690164968320395 + 3.9786474534698636325e-871j)  +/-  (1.81e-72, 6.86e-184j)
| (0.047966854391364858384 - 4.2071569687754918158e-871j)  +/-  (4.93e-72, 1.87e-183j)
| (0.054205531633892955872 + 2.3693685836790535525e-871j)  +/-  (1.42e-73, 5.38e-185j)
| (0.046443957824078193404 + 1.3923224039524443709e-871j)  +/-  (1.08e-72, 4.1e-184j)
| (0.051826524705096843472 + 1.817096415576472047e-871j)  +/-  (1.04e-73, 3.93e-185j)
| (0.053909427860666874885 - 3.0813708387232445529e-871j)  +/-  (1.92e-74, 7.28e-186j)
| (0.046443957824078193404 + 4.4285631114397533349e-871j)  +/-  (2.38e-73, 9.02e-185j)
| (0.053430388995563865161 + 3.2199631067648389348e-871j)  +/-  (1.21e-74, 4.59e-186j)
| (0.052739383812689072261 - 1.936677752500106013e-871j)  +/-  (7.18e-75, 2.72e-186j)
| (0.047966854391364858384 - 1.500668833754219776e-871j)  +/-  (5.18e-75, 1.97e-186j)
| (0.05435877263072972341 - 2.5253608648299970914e-871j)  +/-  (1.15e-75, 4.37e-187j)
| (0.051826524705096843472 + 3.5541927280860309042e-871j)  +/-  (5.17e-76, 1.96e-187j)
| (0.050703396613933934773 - 3.7571196739856178385e-871j)  +/-  (5.3e-76, 2.01e-187j)
| (0.054405006604588605775 + 2.6760727685523740208e-871j)  +/-  (2.65e-76, 1.02e-187j)
| (0.049401690164968320395 + 1.6044702972969915588e-871j)  +/-  (1.66e-76, 5.96e-188j)
