Starting with polynomial:
P : 64*t^6 - 480*t^4 + 720*t^2 - 120
Extension levels are: 6 36
-------------------------------------------------
Trying to find an order 36 Kronrod extension for:
P1 : 64*t^6 - 480*t^4 + 720*t^2 - 120
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 64*t^42 - 24276646141048335638046496013160/962803001092348035361314161*t^40 + 133809641261445778193082920987236950/29846893033862789096200738991*t^38 - 14238310080101542043226848882662613613/29846893033862789096200738991*t^36 + 2027739466444894952486144733975716621415/59693786067725578192401477982*t^34 - 204740627388926662504588724585108106720975/119387572135451156384802955964*t^32 + 122188790921062616387547693334929856949085/1925606002184696070722628322*t^30 - 6758083653471907364204167090343617990471275/3851212004369392141445256644*t^28 + 282380438285173669280935109108025915887491665/7702424008738784282890513288*t^26 - 559570123656432387305792682312529545964707375/962803001092348035361314161*t^24 + 430457897470113219644110809745424734716142720875/61619392069910274263124106304*t^22 - 7802777702128209494428135437857562233774591434125/123238784139820548526248212608*t^20 + 105557770700905948695271613258382192106774018269375/246477568279641097052496425216*t^18 - 1049234031024426376596218242645910173164183191629875/492955136559282194104992850432*t^16 + 3747884391564568983101410836414769740312460754645625/492955136559282194104992850432*t^14 - 18666405766587398776758995542743006134023305948519375/985910273118564388209985700864*t^12 + 62131956997532428823017621627284467004127650489226875/1971820546237128776419971401728*t^10 - 260296745481186468807134991322551447173924756305284375/7887282184948515105679885606912*t^8 + 627229620803636210203093774928277027686973917499148125/31549128739794060422719542427648*t^6 - 375179883534611341500122406476328619474372472126596875/63098257479588120845439084855296*t^4 + 83707624737910196500364428937573890044338298607940625/126196514959176241690878169710592*t^2 - 2948887721619820238294005934732940088412922491690625/252393029918352483381756339421184
-------------------------------------------------
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:
| (-5.4217031364426679862 + 7.6753797807683601099e-754j)  +/-  (2.21e-245, 2.21e-245j)
| (-0.14647440960721600556 + 3.3365642313014704472e-776j)  +/-  (2.32e-254, 2.32e-254j)
| (8.1008183061446289158 + 1.3817345335991434059e-770j)  +/-  (6.1e-248, 6.1e-248j)
| (5.8663664230144990454 - 5.4410042398874494618e-767j)  +/-  (1.72e-245, 1.72e-245j)
| (7.4162667480586636268 + 2.7519554307732803064e-770j)  +/-  (6.34e-247, 6.34e-247j)
| (-8.1008183061446289158 - 7.8585369500054079049e-768j)  +/-  (6.66e-248, 6.66e-248j)
| (-3.8085639879571282633 - 3.6544808129282590472e-768j)  +/-  (6.08e-246, 6.08e-246j)
| (-4.9973218559892346317 + 2.0848714029744425433e-788j)  +/-  (2.41e-245, 2.41e-245j)
| (-5.8663664230144990454 - 2.1257645366254857979e-805j)  +/-  (1.52e-245, 1.52e-245j)
| (-7.4162667480586636268 + 1.8125829627591735169e-818j)  +/-  (7.26e-247, 7.26e-247j)
| (1.3358490740136969497 + 1.0294201659555406263e-830j)  +/-  (2.48e-250, 2.48e-250j)
| (-4.5888838128958822287 + 9.5872332789981131193e-835j)  +/-  (2.1e-245, 2.1e-245j)
| (6.3379194296653026466 + 5.6251392891047668188e-847j)  +/-  (8.49e-246, 8.49e-246j)
| (-6.8474000926091144063 + 1.5083821593845972173e-846j)  +/-  (3.39e-246, 3.39e-246j)
| (-3.4328705470488324453 + 1.179225526561212614e-851j)  +/-  (2.61e-246, 2.61e-246j)
| (1.0213082000726939406 + 4.3987961834948551452e-864j)  +/-  (2.64e-251, 2.64e-251j)
| (-1.6646140952026070651 - 1.8946428362099196979e-862j)  +/-  (1.64e-249, 1.64e-249j)
| (-2.3506049736744922228 + 3.3168903196989000391e-861j)  +/-  (5.22e-248, 5.22e-248j)
| (2.7044760378930596311 - 3.5019574742405994761e-860j)  +/-  (2.13e-247, 2.13e-247j)
| (6.8474000926091144063 + 2.4788741866218994457e-859j)  +/-  (3.58e-246, 3.58e-246j)
| (3.4328705470488324453 - 2.6604019037171481766e-858j)  +/-  (2.36e-246, 2.36e-246j)
| (2.3506049736744922228 + 6.3281824188022241716e-861j)  +/-  (5.08e-248, 5.08e-248j)
| (4.5888838128958822287 - 7.9617009730987651032e-860j)  +/-  (2.03e-245, 2.03e-245j)
| (-6.3379194296653026466 - 1.0407239500922094278e-859j)  +/-  (8.68e-246, 8.68e-246j)
| (-2.0036515002781412506 + 5.5299947977952755476e-864j)  +/-  (9.22e-249, 9.22e-249j)
| (-2.7044760378930596311 - 6.9383226335866128905e-862j)  +/-  (2.18e-247, 2.18e-247j)
| (2.0036515002781412506 + 1.0309190872075040487e-870j)  +/-  (9.13e-249, 9.13e-249j)
| (3.8085639879571282633 - 2.3347628382365793065e-868j)  +/-  (6.07e-246, 6.07e-246j)
| (-4.1933624561531790018 - 3.2808482307238902944e-867j)  +/-  (1.19e-245, 1.19e-245j)
| (-1.0213082000726939406 + 3.7294384118673219483e-880j)  +/-  (2.87e-251, 2.87e-251j)
| (4.9973218559892346317 + 4.0334162179218268404e-873j)  +/-  (2.3e-245, 2.3e-245j)
| (3.0651047121858293469 - 3.6056509016971181941e-874j)  +/-  (8.13e-247, 8.13e-247j)
| (0.72360239107023901641 + 4.0033078945247086853e-881j)  +/-  (3.23e-252, 3.23e-252j)
| (5.4217031364426679862 - 2.4298157519448766472e-873j)  +/-  (2.16e-245, 2.16e-245j)
| (-0.72360239107023901641 + 4.5330105614469730328e-882j)  +/-  (3.67e-252, 3.67e-252j)
| (4.1933624561531790018 + 5.1672402787815795245e-879j)  +/-  (1.26e-245, 1.26e-245j)
| (-3.0651047121858293469 + 1.8651626530100909305e-885j)  +/-  (7.79e-247, 7.79e-247j)
| (0.43607741192761650868 + 1.2473959013453587606e-891j)  +/-  (2.95e-253, 2.95e-253j)
| (1.6646140952026070651 + 2.2010158698555787733e-887j)  +/-  (1.58e-249, 1.58e-249j)
| (0.14647440960721600556 - 1.5802385460661103107e-893j)  +/-  (2.32e-254, 2.32e-254j)
| (-1.3358490740136969497 - 4.8530417897282392314e-889j)  +/-  (2.15e-250, 2.15e-250j)
| (-0.43607741192761650868 + 3.0014858315117018043e-892j)  +/-  (2.95e-253, 2.95e-253j)
-------------------------------------------------
The weights are:
| (4.1931537120358654402e-14 + 1.8702719521785218919e-766j)  +/-  (1.67e-86, 1.56e-207j)
| (0.16137606455860043512 - 4.6034014090768116657e-760j)  +/-  (1.15e-73, 1.08e-194j)
| (1.4088669482595457004e-29 + 1.827525828469437991e-776j)  +/-  (6.01e-94, 5.62e-215j)
| (2.9186043748969567228e-16 + 2.0124485644035197351e-769j)  +/-  (6.15e-89, 5.75e-210j)
| (4.478641299371403558e-25 - 4.1735729487639036382e-774j)  +/-  (1.7e-92, 1.59e-213j)
| (1.4088669482595457004e-29 + 9.22422353539828927e-776j)  +/-  (7.44e-96, 6.96e-217j)
| (1.0757619493386860499e-07 + 6.6495610096830576931e-764j)  +/-  (1.21e-83, 1.13e-204j)
| (3.3465191706950877165e-12 - 8.0413845701216092988e-766j)  +/-  (1.57e-87, 1.47e-208j)
| (2.9186043748969567228e-16 + 5.1087328470539169733e-768j)  +/-  (2.27e-90, 2.13e-211j)
| (4.478641299371403558e-25 - 2.6863121093294588146e-773j)  +/-  (3.73e-95, 3.49e-216j)
| (0.030537030861057863392 + 6.1739246388989689794e-761j)  +/-  (1.01e-73, 9.49e-195j)
| (1.6212910960433060143e-10 + 3.4069092432218072376e-765j)  +/-  (1.51e-87, 1.41e-208j)
| (9.8782973966303947065e-19 - 9.5237871493732479338e-771j)  +/-  (2.79e-95, 2.61e-216j)
| (1.3072735673127715561e-21 + 2.4176317318918366037e-771j)  +/-  (8.16e-94, 7.63e-215j)
| (1.5976235191951427411e-06 - 2.567032680331052715e-763j)  +/-  (3.14e-85, 2.94e-206j)
| (0.060847229209829029716 - 1.3386680067927345215e-760j)  +/-  (1.37e-74, 1.29e-195j)
| (0.011812339516118651045 + 4.7459130631802952713e-761j)  +/-  (6.74e-79, 6.3e-200j)
| (0.00078791757072726419444 + 7.8371841279899688144e-762j)  +/-  (2.51e-82, 2.35e-203j)
| (0.00013423146906094167618 + 9.283535869550231038e-763j)  +/-  (1e-86, 9.35e-208j)
| (1.3072735673127715561e-21 + 2.8093415932136349583e-772j)  +/-  (3.36e-97, 3.14e-218j)
| (1.5976235191951427411e-06 + 5.7658318008875178168e-764j)  +/-  (5.23e-90, 4.89e-211j)
| (0.00078791757072726419444 - 3.096732841238057132e-762j)  +/-  (6.98e-86, 6.53e-207j)
| (1.6212910960433060143e-10 - 2.834339150802154838e-766j)  +/-  (1.26e-93, 1.18e-214j)
| (9.8782973966303947065e-19 - 1.2223766713752482321e-769j)  +/-  (6.81e-95, 6.37e-216j)
| (0.0034955396305646906612 - 2.0153064005814548209e-761j)  +/-  (1.3e-84, 1.21e-205j)
| (0.00013423146906094167618 - 2.7763478395776728111e-762j)  +/-  (4.67e-87, 4.37e-208j)
| (0.0034955396305646906612 + 9.2768920501526148306e-762j)  +/-  (2.61e-86, 2.44e-207j)
| (1.0757619493386860499e-07 - 1.1621188250159657623e-764j)  +/-  (3.73e-92, 3.49e-213j)
| (5.0764633338662181482e-09 - 1.5572775782317601117e-764j)  +/-  (6.29e-91, 5.88e-212j)
| (0.060847229209829029716 + 1.9600634189219648662e-760j)  +/-  (1.73e-85, 1.62e-206j)
| (3.3465191706950877165e-12 + 3.2753670165361359973e-767j)  +/-  (2.15e-95, 2.02e-216j)
| (1.7080632601877824756e-05 - 2.4711920572317536326e-763j)  +/-  (6.01e-91, 5.62e-212j)
| (0.097079298938670091058 + 2.4344281966252081001e-760j)  +/-  (1.87e-87, 1.74e-208j)
| (4.1931537120358654402e-14 - 2.9680753823048352734e-768j)  +/-  (1.53e-96, 1.43e-217j)
| (0.097079298938670091058 - 3.1843304058093431632e-760j)  +/-  (1.72e-88, 1.58e-209j)
| (5.0764633338662181482e-09 + 1.9894481024519039882e-765j)  +/-  (1e-93, 9.4e-215j)
| (1.7080632601877824756e-05 + 8.8994934099760604256e-763j)  +/-  (6.75e-92, 6.32e-213j)
| (0.13391155717107383927 - 3.5807645013020221014e-760j)  +/-  (2.49e-88, 2.29e-209j)
| (0.011812339516118651045 - 2.5162319689493917642e-761j)  +/-  (8.06e-90, 7.58e-211j)
| (0.16137606455860043512 + 4.3612106750344198742e-760j)  +/-  (1.73e-88, 1.59e-209j)
| (0.030537030861057863392 - 1.0210990763074016214e-760j)  +/-  (7.64e-90, 7.37e-211j)
| (0.13391155717107383927 + 4.2071615085094394473e-760j)  +/-  (5.67e-89, 4.98e-210j)
