Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 34
-------------------------------------------------
Trying to find an order 34 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^40 - 283735305001382271902864159160819/2025605911379235914031843553840*t^38 + 523185672247178821225836549752691907/834144514305969349398313175471312*t^36 - 176379937773649529264151270064859099881/102599775259634229975992520582971376*t^34 + 3695342650718641312280338319615088579377/1145697490399248901398583146509847032*t^32 - 57824716703656600835711860983039983063369/13175521139591362366083706184863240868*t^30 + 640655636730276577492068089232549407957981/143113419274871694666081636145928305980*t^28 - 96698987362526025654109440491718486823467/27714027224657693252796761285401989412*t^26 + 6865537627712728847808290079053046655574055/3270255212509607803830017831677434750616*t^24 - 139119746177319058136562675900117827288635/142185009239548165383913818768584119592*t^22 + 319142049202020722218256146167831668145/905637001525784492891170820182064456*t^20 - 733287519214243246550734689889821527029401/7535805489696052765347432394734958338376*t^18 + 38272497844614678940667647616205825406225/1883951372424013191336858098683739584594*t^16 - 579559697234657143811135267097582411972405/184627234497553292751012093671006479290212*t^14 + 9179529390091702460171320428792870011265/26375319213936184678716013381572354184316*t^12 - 2093967628911044140608111241337322286675/79125957641808554036148040144717062552948*t^10 + 5850266736939017643511741491095852799603/4536554904797023764739154301630444919702352*t^8 - 315950720627457146142186972060107868204795/8741941301543864794652350339241867360266432304*t^6 + 4195044114383943537908642204214007846805/8741941301543864794652350339241867360266432304*t^4 - 17007575164676907737386744094888955405/8741941301543864794652350339241867360266432304*t^2 + 5464104129008732590516403869398525/30596794555403526781283226187346535760932513064
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 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:
| (0.95796291697684844824 - 9.3078250620790072275e-929j)  +/-  (6.95e-242, 6.95e-242j)
| (0.99083576523863528228 - 3.3052226021978108018e-936j)  +/-  (5.78e-242, 5.78e-242j)
| (-0.86371514134043417873 - 1.1673339003086276828e-938j)  +/-  (8.56e-243, 8.56e-243j)
| (0.97741836665411672821 + 6.8013738918023587983e-938j)  +/-  (8.49e-242, 8.49e-242j)
| (0.93246951420315202781 - 6.3383365673609732204e-938j)  +/-  (4.51e-242, 4.51e-242j)
| (0.90100676085736122913 + 7.6470336448487400853e-939j)  +/-  (2.11e-242, 2.11e-242j)
| (0.99826388572946467586 - 3.4405283871589755204e-939j)  +/-  (2.14e-242, 2.14e-242j)
| (-0.90100676085736122913 + 6.9557288903542644227e-937j)  +/-  (2.29e-242, 2.29e-242j)
| (-0.93246951420315202781 - 7.9594459850605310049e-949j)  +/-  (4.68e-242, 4.68e-242j)
| (-0.16025394895309354757 + 2.2200848281129862815e-970j)  +/-  (5.12e-253, 5.12e-253j)
| (0.82080123007159906581 + 6.757331961705320176e-965j)  +/-  (2.5e-243, 2.5e-243j)
| (-0.97741836665411672821 - 1.0029613173821241697e-968j)  +/-  (7.39e-242, 7.39e-242j)
| (-0.99083576523863528228 + 9.6483873348845279563e-992j)  +/-  (6.51e-242, 6.51e-242j)
| (-0.77252930131817928889 - 1.5257956729917006838e-1010j)  +/-  (6.44e-244, 6.44e-244j)
| (-0.99826388572946467586 - 2.4065055420206090323e-1015j)  +/-  (2.23e-242, 2.23e-242j)
| (0.86371514134043417873 + 7.5903528230241081684e-1033j)  +/-  (8.47e-243, 8.47e-243j)
| (0.66120938646626451366 + 1.779221823361003803e-1042j)  +/-  (2.24e-245, 2.24e-245j)
| (-0.95796291697684844824 + 3.5492620954120598451e-1037j)  +/-  (6.18e-242, 6.18e-242j)
| (-0.82080123007159906581 - 7.0708688022306720812e-1044j)  +/-  (2.59e-243, 2.59e-243j)
| (-0.46314530612633717737 + 4.8450749409865538042e-1050j)  +/-  (3.06e-248, 3.06e-248j)
| (0.46314530612633717737 + 4.0830691918670760993e-1049j)  +/-  (2.9e-248, 2.9e-248j)
| (0.77252930131817928889 + 1.6668231242287005637e-1047j)  +/-  (6.23e-244, 6.23e-244j)
| (-0.081283302673865245528 + 1.7430419369643611009e-1057j)  +/-  (2.51e-254, 2.51e-254j)
| (-0.71921323139565309149 + 4.0144183001455613275e-1054j)  +/-  (1.3e-244, 1.3e-244j)
| (-0.59891037695254065611 - 3.9207608947795925973e-1055j)  +/-  (2.98e-246, 2.98e-246j)
| (0.081283302673865245528 - 3.0537673592577881501e-1058j)  +/-  (2.51e-254, 2.51e-254j)
| (0.71921323139565309149 + 3.8170299048808917799e-1057j)  +/-  (1.43e-244, 1.43e-244j)
| (0.31558591867432661665 + 2.17260793913430443e-1062j)  +/-  (1.6e-250, 1.6e-250j)
| (-0.31558591867432661665 + 1.1610180025698986583e-1065j)  +/-  (1.56e-250, 1.56e-250j)
| (-0.66120938646626451366 - 1.6971568475516130114e-1061j)  +/-  (2.2e-245, 2.2e-245j)
| (-0.0096930280643512451038 + 1.2910447341895427407e-1065j)  +/-  (1.27e-255, 1.27e-255j)
| (0.39059794275493525347 - 1.36132632309073571e-1062j)  +/-  (2.31e-249, 2.31e-249j)
| (0.53273943278027576207 - 8.3466515759346044199e-1063j)  +/-  (3.46e-247, 3.46e-247j)
| (0.0096930280643512451038 - 6.5626355601266092786e-1067j)  +/-  (8.66e-256, 8.66e-256j)
| (-0.53273943278027576207 - 3.1110470624274414804e-1064j)  +/-  (3.25e-247, 3.25e-247j)
| (-0.39059794275493525347 + 1.0873296734654242935e-1066j)  +/-  (2.24e-249, 2.24e-249j)
| (0.23861918608319690863 - 4.174121374016747816e-1068j)  +/-  (8.67e-252, 8.67e-252j)
| (0.59891037695254065611 + 9.787793444340433962e-1066j)  +/-  (3.17e-246, 3.17e-246j)
| (0.16025394895309354757 - 1.0357822060703973271e-1072j)  +/-  (4.84e-253, 4.84e-253j)
| (-0.23861918608319690863 + 1.5132360505633694626e-1071j)  +/-  (8.33e-252, 8.33e-252j)
-------------------------------------------------
The weights are:
| (0.022479800384852974774 + 2.0128964952237866523e-929j)  +/-  (4.76e-76, 8.35e-193j)
| (0.010412019821179842326 - 2.2196877221998089891e-929j)  +/-  (1.6e-76, 2.81e-193j)
| (0.040142287561745215536 + 2.437325230204438402e-930j)  +/-  (1.69e-78, 2.96e-195j)
| (0.016431422516403003046 + 7.0857604377280204636e-929j)  +/-  (2.27e-76, 3.99e-193j)
| (0.028495603726680159913 - 1.1143845618450259989e-928j)  +/-  (4.56e-77, 7.99e-194j)
| (0.034406376504571440016 + 6.3548850635099607535e-929j)  +/-  (8.82e-78, 1.55e-194j)
| (0.0044574963106754808985 + 5.2992485652189897453e-930j)  +/-  (3.18e-77, 5.57e-194j)
| (0.034406376504571440016 - 1.9470452949221770868e-930j)  +/-  (1.62e-79, 2.85e-196j)
| (0.028495603726680159913 + 1.5028025389199134573e-930j)  +/-  (5.8e-80, 1.02e-196j)
| (0.078848324034421793472 - 4.3945576699339931695e-929j)  +/-  (1.44e-81, 2.52e-198j)
| (0.045641353207973270656 + 3.882806652818892931e-929j)  +/-  (1.3e-79, 2.28e-196j)
| (0.016431422516403003046 + 7.1229734424043070055e-931j)  +/-  (4.19e-81, 7.35e-198j)
| (0.010412019821179842326 - 3.7442285827152797243e-931j)  +/-  (1.15e-81, 2.02e-198j)
| (0.050850073568337750282 + 3.6458013233263050497e-930j)  +/-  (7.67e-83, 1.35e-199j)
| (0.0044574963106754808985 + 1.0917181693050099443e-931j)  +/-  (3.94e-82, 6.91e-199j)
| (0.040142287561745215536 - 4.7110112101049002175e-929j)  +/-  (1.28e-81, 2.25e-198j)
| (0.0602195928208397328 - 2.9503528890895764825e-929j)  +/-  (2.27e-84, 3.99e-201j)
| (0.022479800384852974774 - 1.0920991950554720326e-930j)  +/-  (8.72e-82, 1.53e-198j)
| (0.045641353207973270656 - 2.9940576197870220473e-930j)  +/-  (6.46e-83, 1.13e-199j)
| (0.071150660319609684803 - 1.0543802698571082257e-929j)  +/-  (4.1e-86, 7.19e-203j)
| (0.071150660319609684803 + 3.0281632365237060429e-929j)  +/-  (1.14e-86, 2.01e-203j)
| (0.050850073568337750282 - 3.4023126424426536371e-929j)  +/-  (2.56e-84, 4.5e-201j)
| (0.078728275393468116508 + 9.3289310126881208955e-929j)  +/-  (4.51e-87, 7.91e-204j)
| (0.055722568498039278474 - 4.4317793960677073228e-930j)  +/-  (3.34e-85, 5.86e-202j)
| (0.064307802476419407796 - 6.6534787568476517094e-930j)  +/-  (2.78e-86, 4.87e-203j)
| (0.078728275393468116508 - 1.1058836263610889524e-928j)  +/-  (2.5e-88, 4.4e-205j)
| (0.055722568498039278474 + 3.1132502220236095138e-929j)  +/-  (8.81e-87, 1.55e-203j)
| (0.076076670718856469182 + 3.7088300034723488576e-929j)  +/-  (9.77e-89, 1.71e-205j)
| (0.076076670718856469182 - 1.8707308227672501087e-929j)  +/-  (1.31e-88, 2.29e-205j)
| (0.0602195928208397328 + 5.4072540575180339576e-930j)  +/-  (2.87e-87, 5.03e-204j)
| (0.042042091914559536805 - 4.1759714266337216793e-928j)  +/-  (1.5e-88, 2.62e-205j)
| (0.07386265836829164443 - 3.27239404578192422e-929j)  +/-  (1.71e-89, 3.01e-206j)
| (0.06795921977582846683 - 2.9084495524702142903e-929j)  +/-  (1.36e-89, 2.38e-206j)
| (0.042042091914559536805 + 4.2613433428939654097e-928j)  +/-  (1.03e-88, 1.81e-205j)
| (0.06795921977582846683 + 8.2963646249610442673e-930j)  +/-  (9.35e-90, 1.64e-206j)
| (0.07386265836829164443 + 1.3767578417360389936e-929j)  +/-  (4.11e-90, 7.21e-207j)
| (0.077765702077246731453 - 4.5041104066071853862e-929j)  +/-  (6.11e-91, 1.08e-207j)
| (0.064307802476419407796 + 2.8849882801679739226e-929j)  +/-  (3.59e-91, 6.26e-208j)
| (0.078848324034421793472 + 6.1602272560976943841e-929j)  +/-  (6.9e-91, 1.23e-207j)
| (0.077765702077246731453 + 2.707715210686363685e-929j)  +/-  (3.97e-91, 6.54e-208j)
