Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 45
-------------------------------------------------
Trying to find an order 45 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^51 - 46213783449392057742359915638407749000631/257843312538486074765825846902074882320*t^49 + 45451657376438440085350026371598775756108571697/43422747656325093636125816312161175744305400*t^47 - 3438898256886311888821885329343292723574789456629/899551243383612101068387072118384098806223480*t^45 + 3037598560226704918263427365333785583429668728243194/310232735061923223355959991496827716075796322665*t^43 - 11597920749032162072472509367864986821745376762091473/620465470123846446711919982993655432151592645330*t^41 + 1670588113592226419087537764834653427411808779581237/60533216597448433825553169072551749478204160520*t^39 - 3282245329375078458853041351854003101380127907542641/101705606833769635779775567470076826046375411400*t^37 + 35823315484067690434858734866183866260574413227228823/1179785039271727775045396582652891182137954772240*t^35 - 82203372564382027580863791639567234492095212410598733/3539355117815183325136189747958673546413864316720*t^33 + 3804938674508657895957124509697339301480487722361349/261806230624905882664568342779714616260950637660*t^31 - 84141622131551089885104221448528337760888915791978481/11274558641427398495393507664868355248657067783100*t^29 + 669614444520818247104099641587829574197430789021339107/212855891592465540559584325741911189608267055560250*t^27 - 5611721154419065370617901183641094847101102888292759/5166758394210274659736918676128442551175029382830*t^25 + 3158521846857416437863030405661539140343101158319307/10333516788420549319473837352256885102350058765660*t^23 - 48177122356547920476436270730476417357962639501798389/692345624824176804404747102601211301857453937299220*t^21 + 1186730810831687689788430780516093329317658498628716525/93605128476228703955521808271683768011127772322854544*t^19 - 4263225706291604840247339715302103630732045683747998517/2340128211905717598888045206792094200278194308071363600*t^17 + 2890366992995243085769588108076595298815978188156357379/14274782092624877353217075761431774621696985279235317960*t^15 - 14282096761981359295370915566514997527212500350786841957/842212143464867763839807469924474702680122131474883759640*t^13 + 16729479387586449442670946269112841990936824136535051/16196387374324380073842451344701436590002348682209303070*t^11 - 1057943854306752764312067355392351797712642479149651/24294581061486570110763677017052154885003523023313954605*t^9 + 385518340093380775248152139198151811278312552399643397/326195241718893014687186970082286932922647302459695363829800*t^7 - 15215068324279211126308572479789314790791257614619/825810738528843075157435367296928944107967854328342693240*t^5 + 123010148216652227052118129258858586530480662961243/913346676812900441124123516230403412183412446887147018723440*t^3 - 265160031225391346998606358638753155361214339043/913346676812900441124123516230403412183412446887147018723440*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:
| (0.99362479539714683827 - 5.6673248770459514693e-831j)  +/-  (2.81e-238, 2.81e-238j)
| (-0.98435917380964284943 - 4.8208124433376832495e-847j)  +/-  (3.91e-238, 3.91e-238j)
| (-0.90742195187787057962 - 4.1275447041545468978e-856j)  +/-  (1.37e-238, 1.37e-238j)
| (0.9987888814102434023 + 8.4373813765495690619e-854j)  +/-  (9.89e-239, 9.89e-239j)
| (0.95370860746370128868 + 3.5048984558089025071e-874j)  +/-  (3.34e-238, 3.34e-238j)
| (0.93246951420315202781 + 2.9149544603301625812e-892j)  +/-  (2.16e-238, 2.16e-238j)
| (-0.99362479539714683827 - 1.8499362844504401647e-903j)  +/-  (3.07e-238, 3.07e-238j)
| (-0.87869974152858220498 - 2.4979275263204270862e-906j)  +/-  (6.66e-239, 6.66e-239j)
| (-0.77264851612018609707 - 2.2809996277961105332e-907j)  +/-  (3.3e-240, 3.3e-240j)
| (-0.9987888814102434023 - 7.4392309390356741762e-907j)  +/-  (9.44e-239, 9.44e-239j)
| (0.90742195187787057962 - 9.3837366487599429116e-906j)  +/-  (1.29e-238, 1.29e-238j)
| (0.66120938646626451366 - 2.6668170787728438045e-918j)  +/-  (1.41e-241, 1.41e-241j)
| (-0.93246951420315202781 + 3.1061218915709562906e-914j)  +/-  (2.48e-238, 2.48e-238j)
| (-0.84647538813995298475 + 2.4275855411957750175e-919j)  +/-  (2.42e-239, 2.42e-239j)
| (0.98435917380964284943 - 6.4078715823618159126e-918j)  +/-  (4.32e-238, 4.32e-238j)
| (0.81098997537280922515 - 1.9702124934857739097e-924j)  +/-  (9.82e-240, 9.82e-240j)
| (0.84647538813995298475 - 1.3403065128373741727e-923j)  +/-  (2.56e-239, 2.56e-239j)
| (-0.81098997537280922515 + 4.6869913212807977819e-926j)  +/-  (9.8e-240, 9.8e-240j)
| (-0.7324045777134360381 + 1.6949732071062063332e-927j)  +/-  (1.09e-240, 1.09e-240j)
| (-0.97103295548138972503 - 4.2901214779035203426e-924j)  +/-  (4.06e-238, 4.06e-238j)
| (0.87869974152858220498 + 2.2847783106753423839e-927j)  +/-  (6.58e-239, 6.58e-239j)
| (0.77264851612018609707 + 7.5984281563649242482e-932j)  +/-  (3.49e-240, 3.49e-240j)
| (-0.95370860746370128868 + 1.4344799625118480983e-933j)  +/-  (3.97e-238, 3.97e-238j)
| (-0.66120938646626451366 - 2.2321805705547390342e-936j)  +/-  (1.42e-241, 1.42e-241j)
| (-0.69351358038577370884 + 4.263853834496323706e-936j)  +/-  (3.98e-241, 3.98e-241j)
| (0.17857817374188610725 + 4.2845982904379509452e-945j)  +/-  (8.57e-252, 8.57e-252j)
| (0.7324045777134360381 + 1.8892761490295468203e-933j)  +/-  (1.04e-240, 1.04e-240j)
| (0.69351358038577370884 - 3.9691394562848684687e-937j)  +/-  (3.7e-241, 3.7e-241j)
| (0.97103295548138972503 + 9.5853593161864782304e-948j)  +/-  (4.12e-238, 4.12e-238j)
| (-0.6240783888946794988 - 2.3563498388522684122e-961j)  +/-  (2.25e-242, 2.25e-242j)
| (-0.23861918608319690863 - 1.0551513986675524807e-969j)  +/-  (1.71e-250, 1.71e-250j)
| (0.5258216988072872338 - 9.6691381502234209217e-962j)  +/-  (1.64e-244, 1.64e-244j)
| (0.57728483333719609136 + 4.2179998488922252711e-961j)  +/-  (2.12e-243, 2.12e-243j)
| (0.059157448885975073079 + 5.4232058513447791703e-973j)  +/-  (2.57e-254, 2.57e-254j)
| (-0.5258216988072872338 + 5.0717982723753658506e-965j)  +/-  (1.63e-244, 1.63e-244j)
| (-0.47157330981541965081 + 8.8380623813544878109e-966j)  +/-  (1.22e-245, 1.22e-245j)
| (-1.5014081047520837965e-975 + 1.2945263427641296975e-974j)  +/-  (6.65e-973, 6.65e-973j)
| (0.6240783888946794988 - 2.7256224373706023856e-965j)  +/-  (2.25e-242, 2.25e-242j)
| (0.29837458927378268932 - 2.3793718885529072627e-972j)  +/-  (2.98e-249, 2.98e-249j)
| (-0.17857817374188610725 + 1.4429134353747740366e-973j)  +/-  (8.13e-252, 8.13e-252j)
| (-0.57728483333719609136 - 3.5465191126146500035e-969j)  +/-  (2.21e-243, 2.21e-243j)
| (-0.11866836025744431015 - 2.01998406531372381e-978j)  +/-  (4.15e-253, 4.15e-253j)
| (0.35740189651491656129 + 5.3515210844483633975e-972j)  +/-  (4.64e-248, 4.64e-248j)
| (0.41527497244614927373 + 1.7610649567968694996e-970j)  +/-  (8.1e-247, 8.1e-247j)
| (-0.059157448885975073079 - 3.887994720486341181e-979j)  +/-  (2.1e-254, 2.1e-254j)
| (-0.41527497244614927373 + 4.1061399694076733687e-972j)  +/-  (8.83e-247, 8.83e-247j)
| (-0.35740189651491656129 - 2.1986835253344568545e-973j)  +/-  (4.74e-248, 4.74e-248j)
| (0.11866836025744431015 + 8.5935032341474557769e-978j)  +/-  (4.1e-253, 4.1e-253j)
| (0.47157330981541965081 - 6.7228118955033693201e-971j)  +/-  (1.31e-245, 1.31e-245j)
| (0.23861918608319690863 + 2.405550563117072297e-976j)  +/-  (1.56e-250, 1.56e-250j)
| (-0.29837458927378268932 + 6.4468355572962671172e-975j)  +/-  (3.08e-249, 3.08e-249j)
-------------------------------------------------
The weights are:
| (0.0072196392946680394943 + 3.3867200334446755866e-831j)  +/-  (2.3e-58, 6.74e-173j)
| (0.011304629853608012995 - 4.2227630096318718274e-833j)  +/-  (4.86e-59, 1.43e-173j)
| (0.02690986924324906931 - 2.4095516155236399131e-832j)  +/-  (4.65e-59, 1.37e-173j)
| (0.003107425037019120078 + 2.2156758943366992339e-831j)  +/-  (1.03e-58, 3.04e-173j)
| (0.019297428889197776721 - 5.4182707831754077153e-831j)  +/-  (1.74e-59, 5.1e-174j)
| (0.0231631149706683706 + 5.1981486239925270348e-831j)  +/-  (1.06e-59, 3.13e-174j)
| (0.0072196392946680394943 + 2.058928157162994206e-833j)  +/-  (1.41e-60, 4.14e-175j)
| (0.030506220173931022749 + 3.5198257779630982214e-832j)  +/-  (6.54e-61, 1.92e-175j)
| (0.039541237732424351253 - 1.3257244780059973676e-831j)  +/-  (3.91e-62, 1.15e-176j)
| (0.003107425037019120078 - 5.7427536403151163215e-834j)  +/-  (5.32e-61, 1.56e-175j)
| (0.02690986924324906931 - 5.3138273333850809107e-831j)  +/-  (2.66e-62, 7.82e-177j)
| (0.03163068816671748463 + 2.8926824322861324466e-830j)  +/-  (1.51e-64, 4.43e-179j)
| (0.0231631149706683706 + 1.6504604120574451455e-832j)  +/-  (2.56e-61, 7.52e-176j)
| (0.033903557585178892377 - 5.2315426097505977774e-832j)  +/-  (1.09e-61, 3.21e-176j)
| (0.011304629853608012995 - 9.014567948766474383e-831j)  +/-  (4.7e-62, 1.38e-176j)
| (0.037004353511983253582 + 7.9708258123732678869e-831j)  +/-  (3.39e-64, 9.97e-179j)
| (0.033903557585178892377 - 6.542032819444877903e-831j)  +/-  (8.12e-64, 2.39e-178j)
| (0.037004353511983253582 + 8.0668204719782254343e-832j)  +/-  (1.14e-63, 3.35e-178j)
| (0.040492520616378166883 + 2.4023292908741175403e-831j)  +/-  (4.3e-65, 1.26e-179j)
| (0.015337400705327322141 + 7.1569897146269978164e-833j)  +/-  (1.06e-63, 3.11e-178j)
| (0.030506220173931022749 + 5.7343946754386706049e-831j)  +/-  (2.91e-65, 8.56e-180j)
| (0.039541237732424351253 - 1.0596575214267247223e-830j)  +/-  (6.86e-67, 2.02e-181j)
| (0.019297428889197776721 - 1.1106301290667189346e-832j)  +/-  (9.4e-64, 2.76e-178j)
| (0.03163068816671748463 + 5.810686195476120052e-831j)  +/-  (1.37e-67, 4.03e-182j)
| (0.035819298169657275637 - 4.5048666759798827991e-831j)  +/-  (6.63e-67, 1.95e-181j)
| (0.060038087821342534208 - 5.6630950001624852262e-831j)  +/-  (9e-72, 2.65e-186j)
| (0.040492520616378166883 + 1.5873545151674566344e-830j)  +/-  (5.42e-68, 1.59e-182j)
| (0.035819298169657275637 - 2.5325056401318676974e-830j)  +/-  (1.7e-68, 5.01e-183j)
| (0.015337400705327322141 + 6.2239442950339879217e-831j)  +/-  (3.27e-67, 9.6e-182j)
| (0.043014824946471731724 - 4.8970650923542164823e-831j)  +/-  (2.07e-69, 6.07e-184j)
| (0.05997239153778957307 + 3.4698288044016474646e-831j)  +/-  (2.57e-73, 7.56e-188j)
| (0.05302181412695038423 - 9.8148129884364581273e-831j)  +/-  (5.51e-72, 1.62e-186j)
| (0.049640418421344224147 + 1.3666369522723953968e-830j)  +/-  (2.87e-71, 8.44e-186j)
| (0.059295263167735339599 - 5.657784061172399902e-831j)  +/-  (1.35e-74, 3.97e-189j)
| (0.05302181412695038423 - 3.0217582033679690626e-831j)  +/-  (4.19e-73, 1.23e-187j)
| (0.055362877056558407948 + 2.7895167662379739013e-831j)  +/-  (8.91e-74, 2.62e-188j)
| (0.059084683128412532024 + 5.4399376454644331975e-831j)  +/-  (1.71e-75, 5.03e-190j)
| (0.043014824946471731724 - 2.1437085178456113222e-830j)  +/-  (1.77e-72, 5.2e-187j)
| (0.059464067177391995282 - 5.7855598711365757512e-831j)  +/-  (5.79e-76, 1.7e-190j)
| (0.060038087821342534208 - 3.9376170932115882813e-831j)  +/-  (2.89e-76, 8.5e-191j)
| (0.049640418421344224147 + 3.6220134274511936305e-831j)  +/-  (2.85e-74, 8.38e-189j)
| (0.059733604601095121927 + 4.4824359405622425055e-831j)  +/-  (1.73e-76, 5.08e-191j)
| (0.05851972491316586823 + 6.1066218300916550874e-831j)  +/-  (4.94e-77, 1.45e-191j)
| (0.057157200715940395173 - 6.7265805328837729619e-831j)  +/-  (5.11e-77, 1.5e-191j)
| (0.059295263167735339599 - 5.0219449344694220409e-831j)  +/-  (3.34e-77, 9.81e-192j)
| (0.057157200715940395173 - 2.7612444469446851437e-831j)  +/-  (7.77e-78, 2.28e-192j)
| (0.05851972491316586823 + 2.8757186415168949312e-831j)  +/-  (2.79e-78, 8.22e-193j)
| (0.059733604601095121927 + 5.6983212159031232686e-831j)  +/-  (1.33e-78, 3.95e-193j)
| (0.055362877056558407948 + 7.8291026713508200839e-831j)  +/-  (8.39e-79, 2.48e-193j)
| (0.05997239153778957307 + 5.6631044965033305027e-831j)  +/-  (5.47e-79, 1.63e-193j)
| (0.059464067177391995282 - 3.1133232265209410389e-831j)  +/-  (4.49e-79, 1.28e-193j)
