Starting with polynomial:
P : 231/16*t^6 - 315/16*t^4 + 105/16*t^2 - 5/16
Extension levels are: 6 40
-------------------------------------------------
Trying to find an order 40 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^46 - 6721756266524733727818046567124943297715155/40250642675729374450411223121721717684048*t^44 + 51286816688587141311289038680683743634021526985/56793656815454147349530235824749343652191728*t^42 - 8094815104903033523798997549655615452467031144895/2669301870326344925427921083763219151653011216*t^40 + 1494228367366474760148235010740672822930155267418935/210874847755781249108805765617294312980587886064*t^38 - 18056252170299989358601909218658589880457776929914769/1476123934290468743761640359321060190864115202448*t^36 + 3409492270244978290291588328988666176465455956135295/210874847755781249108805765617294312980587886064*t^34 - 15153783796274988101296600985801658297241522497618255/905521405068943010878989464121322638093112687216*t^32 + 442230185624916297635174960886431204201898951353307075/32146009879947476886204125976306953652305500396168*t^30 - 873467952855633124668723021576824890857050681164825769/96438029639842430658612377928920860956916501188504*t^28 + 51634753976572707652244975371372509332748510595527116013/10768913309782404756878382202062829473522342632716280*t^26 - 4396795348537224195696435407586323279496759146490531345/2153782661956480951375676440412565894704468526543256*t^24 + 10504951348242592871876736448364110318627366012385715405/15076478633695366659629735082887961262931279685802792*t^22 - 24881222999524029604039916941989757427214181905455868015/131380742379345338033916262865166519576972580119138616*t^20 + 314400321029941285443103883509163542087673408250194061165/7751463800381374944001059509044824655041382227029178344*t^18 - 52264991928637159064681645835388938453288028647258039141/7751463800381374944001059509044824655041382227029178344*t^16 + 167210550869968260126709781369234920986987820986728985/196239589883072783392431886304932269747883094355169072*t^14 - 1233195155635837174508968642783033388105441084652636855/15502927600762749888002119018089649310082764454058356688*t^12 + 81723415312275295634256409834130713715567518547638855/15502927600762749888002119018089649310082764454058356688*t^10 - 3023867799403758292688973666175464315504049523913094815/12913938691435370656705765142068677875298942790230611121104*t^8 + 29360718445562667180472473800038819034118825690304197261/4595517325766501186550580138413296655338523784352064614667152*t^6 - 425397390473291229143328672710003786591990966604228765/4595517325766501186550580138413296655338523784352064614667152*t^4 + 2453350751214196457615749891944771311807170717321605/4595517325766501186550580138413296655338523784352064614667152*t^2 - 2355783063269312651092917538073872978764968061405/4595517325766501186550580138413296655338523784352064614667152
-------------------------------------------------
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:
| (0.98564734440308618126 - 4.755862106481925194e-937j)  +/-  (5.78e-239, 5.78e-239j)
| (-0.95470893802155444042 - 8.2401597449431306327e-944j)  +/-  (3.02e-239, 3.02e-239j)
| (-0.90580962006407885325 + 1.1333089442032223427e-946j)  +/-  (7.18e-240, 7.18e-240j)
| (0.30484213889373769703 + 6.5342543015610311529e-965j)  +/-  (7.22e-250, 7.22e-250j)
| (0.90580962006407885325 + 9.0753019354888166911e-953j)  +/-  (8.16e-240, 8.16e-240j)
| (0.93246951420315202781 + 1.4408033541787104157e-961j)  +/-  (1.75e-239, 1.75e-239j)
| (-0.99897543363602674008 - 7.0285486918268911179e-969j)  +/-  (1.81e-239, 1.81e-239j)
| (-0.93246951420315202781 - 7.3557426892824170637e-971j)  +/-  (1.76e-239, 1.76e-239j)
| (-0.98564734440308618126 + 1.9009210855396435117e-970j)  +/-  (5.33e-239, 5.33e-239j)
| (0.99897543363602674008 - 6.3503030260924859622e-970j)  +/-  (1.79e-239, 1.79e-239j)
| (0.87484619957640768874 - 1.2760766041815017904e-985j)  +/-  (2.99e-240, 2.99e-240j)
| (-0.99439501736433907984 + 6.9874413647905696186e-997j)  +/-  (4.78e-239, 4.78e-239j)
| (-0.87484619957640768874 + 9.3179116809960246696e-997j)  +/-  (2.94e-240, 2.94e-240j)
| (-0.83972198685441065857 + 2.7157948767063991957e-997j)  +/-  (9.44e-241, 9.44e-241j)
| (0.99439501736433907984 - 3.3319438486705019586e-992j)  +/-  (4.62e-239, 4.62e-239j)
| (0.83972198685441065857 + 2.5062703888274677424e-1006j)  +/-  (9.45e-241, 9.45e-241j)
| (0.80060190965899811407 - 1.1193392252786822866e-1010j)  +/-  (2.31e-241, 2.31e-241j)
| (-0.97244464205232112958 - 1.9509211603878682776e-1011j)  +/-  (4.87e-239, 4.87e-239j)
| (-0.80060190965899811407 + 5.6043937223925265979e-1020j)  +/-  (2.3e-241, 2.3e-241j)
| (-0.75767104325548446189 - 3.3251739160452164939e-1022j)  +/-  (5.43e-242, 5.43e-242j)
| (0.97244464205232112958 + 2.9255545956242978546e-1020j)  +/-  (5.25e-239, 5.25e-239j)
| (0.71113314258468542191 - 2.4569536469899903016e-1040j)  +/-  (1.11e-242, 1.11e-242j)
| (0.95470893802155444042 + 1.7781134562101004131e-1046j)  +/-  (3.32e-239, 3.32e-239j)
| (-0.71113314258468542191 - 5.1729859576876641666e-1061j)  +/-  (1.08e-242, 1.08e-242j)
| (-0.60813718582495361703 + 1.3117012528872572603e-1062j)  +/-  (2.09e-244, 2.09e-244j)
| (0.034415700150512690174 + 4.5085875300072786062e-1074j)  +/-  (4.82e-255, 4.82e-255j)
| (0.75767104325548446189 - 2.1996014241512013268e-1061j)  +/-  (5.5e-242, 5.5e-242j)
| (0.36961263825632365004 - 4.8934523981979003671e-1071j)  +/-  (1.19e-248, 1.19e-248j)
| (-0.17125919639935401359 - 2.0205942570126810987e-1074j)  +/-  (2e-252, 2e-252j)
| (-0.66120938646626451366 + 5.1714237589462477153e-1066j)  +/-  (1.61e-243, 1.61e-243j)
| (-0.23861918608319690863 + 2.3729438752498330064e-1073j)  +/-  (4.11e-251, 4.11e-251j)
| (0.66120938646626451366 - 3.1393887452737197596e-1065j)  +/-  (1.67e-243, 1.67e-243j)
| (0.60813718582495361703 + 1.776475430894443572e-1068j)  +/-  (2.05e-244, 2.05e-244j)
| (0.10308308039516484688 - 9.6260995455334791164e-1080j)  +/-  (9.46e-254, 9.46e-254j)
| (-0.55216899212454284969 + 1.2392766263276031907e-1071j)  +/-  (2.45e-245, 2.45e-245j)
| (-0.36961263825632365004 + 3.6462140924218340228e-1077j)  +/-  (1.18e-248, 1.18e-248j)
| (0.17125919639935401359 - 5.4922345088083769977e-1079j)  +/-  (2.07e-252, 2.07e-252j)
| (0.55216899212454284969 - 1.0115556946700506546e-1072j)  +/-  (2.53e-245, 2.53e-245j)
| (0.23861918608319690863 - 3.9969362027313592342e-1080j)  +/-  (4.61e-251, 4.61e-251j)
| (-0.30484213889373769703 + 4.954194141080279509e-1079j)  +/-  (8.17e-250, 8.17e-250j)
| (-0.49357107685387617917 - 1.060637658995961365e-1074j)  +/-  (2.21e-246, 2.21e-246j)
| (-0.10308308039516484688 - 2.6237505519795471364e-1082j)  +/-  (8.97e-254, 8.97e-254j)
| (0.43262226817805592458 + 9.1734178916164434149e-1076j)  +/-  (1.75e-247, 1.75e-247j)
| (0.49357107685387617917 - 9.7284333671202864626e-1075j)  +/-  (2.06e-246, 2.06e-246j)
| (-0.034415700150512690174 - 6.9082281908818958679e-1083j)  +/-  (4.82e-255, 4.82e-255j)
| (-0.43262226817805592458 + 6.7962166630255763008e-1076j)  +/-  (1.76e-247, 1.76e-247j)
-------------------------------------------------
The weights are:
| (0.01094871559387362447 + 7.2071367951121618659e-938j)  +/-  (2.27e-66, 1.75e-181j)
| (0.019997957853220642748 - 4.2505443270630973097e-939j)  +/-  (9.65e-67, 7.41e-182j)
| (0.028833458704854586592 - 5.4925386514518606702e-939j)  +/-  (8.79e-67, 6.76e-182j)
| (0.065548761681625954739 + 2.4061766597929482807e-938j)  +/-  (1.91e-67, 1.47e-182j)
| (0.028833458704854586592 + 1.301242034895144037e-937j)  +/-  (9.27e-68, 7.13e-183j)
| (0.024466723110193196637 - 1.7671924517789991504e-937j)  +/-  (1.13e-67, 8.69e-183j)
| (0.0026580528770724687972 - 5.2070759755990244074e-940j)  +/-  (6.91e-69, 5.31e-184j)
| (0.024466723110193196637 + 4.8994450330725964049e-939j)  +/-  (1.6e-68, 1.23e-183j)
| (0.01094871559387362447 - 2.641407163393553713e-939j)  +/-  (4.47e-69, 3.43e-184j)
| (0.0026580528770724687972 - 7.7536801375413132726e-938j)  +/-  (1.15e-71, 8.87e-187j)
| (0.033069538719082264021 - 1.0161806409108394179e-937j)  +/-  (1.33e-71, 1.02e-186j)
| (0.0065932656647426494929 + 1.6034833027185269536e-939j)  +/-  (5.84e-69, 4.49e-184j)
| (0.033069538719082264021 + 6.0518618468894068553e-939j)  +/-  (1.64e-70, 1.26e-185j)
| (0.037151366605004249722 - 6.5923489167816503996e-939j)  +/-  (2.47e-71, 1.89e-186j)
| (0.0065932656647426494929 + 3.6295326823148196077e-937j)  +/-  (6.6e-72, 5.07e-187j)
| (0.037151366605004249722 + 8.246293768672474825e-938j)  +/-  (4.74e-73, 3.64e-188j)
| (0.041057918192996740506 - 6.877603120735713759e-938j)  +/-  (9.02e-74, 6.93e-189j)
| (0.015467773331488649993 + 3.5130423696910715852e-939j)  +/-  (1.57e-70, 1.21e-185j)
| (0.041057918192996740506 + 7.1248285778888213095e-939j)  +/-  (1.42e-73, 1.09e-188j)
| (0.044769834835915589622 - 7.6576956083558261409e-939j)  +/-  (1.27e-74, 9.75e-190j)
| (0.015467773331488649993 - 5.2103059035941930448e-937j)  +/-  (6.47e-74, 4.97e-189j)
| (0.048269083641562131475 - 5.0671524404375384536e-938j)  +/-  (4.23e-77, 3.25e-192j)
| (0.019997957853220642748 + 2.6658012233305238276e-937j)  +/-  (3.74e-74, 2.88e-189j)
| (0.048269083641562131475 + 8.1979207378622107692e-939j)  +/-  (3.28e-76, 2.52e-191j)
| (0.054563465415899338288 + 9.3248099056005080573e-939j)  +/-  (4.56e-78, 3.5e-193j)
| (0.068804050345839657979 + 1.7663648400209495691e-938j)  +/-  (2.15e-80, 1.65e-195j)
| (0.044769834835915589622 + 5.8557746128536921296e-938j)  +/-  (7.49e-77, 5.75e-192j)
| (0.063940809972295655072 - 2.6246593883774788641e-938j)  +/-  (7.99e-80, 6.14e-195j)
| (0.067821919163554025505 - 1.4414790472320500339e-938j)  +/-  (5.24e-81, 4.03e-196j)
| (0.051538840311205381275 - 8.7516858134580250593e-939j)  +/-  (4.43e-78, 3.41e-193j)
| (0.066844549383161042436 + 1.3518623939731478626e-938j)  +/-  (2.9e-81, 2.23e-196j)
| (0.051538840311205381275 + 4.4423769738991188809e-938j)  +/-  (3.86e-79, 2.96e-194j)
| (0.054563465415899338288 - 3.9367748186337250862e-938j)  +/-  (6.66e-80, 5.12e-195j)
| (0.068476142983271839348 - 1.8990562216936098324e-938j)  +/-  (1.08e-81, 8.27e-197j)
| (0.057328522361995787324 - 9.9230590910637605049e-939j)  +/-  (4.77e-81, 3.66e-196j)
| (0.063940809972295655072 + 1.1930418463737095009e-938j)  +/-  (2.9e-82, 2.23e-197j)
| (0.067821919163554025505 + 2.0477413523970881835e-938j)  +/-  (2.54e-82, 1.95e-197j)
| (0.057328522361995787324 + 3.5203214986756768189e-938j)  +/-  (2.29e-82, 1.76e-197j)
| (0.066844549383161042436 - 2.2154981798325554243e-938j)  +/-  (1.94e-82, 1.49e-197j)
| (0.065548761681625954739 - 1.2693928069792256924e-938j)  +/-  (2.42e-83, 1.86e-198j)
| (0.059820814945572680609 + 1.0552393301728128509e-938j)  +/-  (2.27e-83, 1.75e-198j)
| (0.068476142983271839348 + 1.5394438025112935772e-938j)  +/-  (7.01e-84, 5.41e-199j)
| (0.062028434305571843348 + 2.8772328303439742344e-938j)  +/-  (3.57e-84, 2.74e-199j)
| (0.059820814945572680609 - 3.1721273024180768498e-938j)  +/-  (3.64e-84, 2.79e-199j)
| (0.068804050345839657979 - 1.6471748381294299414e-938j)  +/-  (1.38e-84, 1.09e-199j)
| (0.062028434305571843348 - 1.1219183058124365301e-938j)  +/-  (9.87e-85, 7.06e-200j)
