Starting with polynomial:
P : 64*t^6 - 480*t^4 + 720*t^2 - 120
Extension levels are: 6 53
-------------------------------------------------
Trying to find an order 53 Kronrod extension for:
P1 : 64*t^6 - 480*t^4 + 720*t^2 - 120
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 64*t^59 - 6577774559923300700287386592280220893010997637769794848959520/132673921194919697215055115424737796685927620643991976099*t^57 + 7109305459977023591181186524076330375790196350911013302885427540/398021763584759091645165346274213390057782861931975928297*t^55 - 74449254393772964029076111863638996304243817030020716166084429875130/18707022888483677307322771274888029332715794510802868629959*t^53 + 1644114637476432882710895234222688513856393241500402827199264310592625/2672431841211953901046110182126861333245113501543266947137*t^51 - 875092312374712103952413057945755686293467687545391599585538758348777575/12471348592322451538215180849925352888477196340535245753306*t^49 + 1560367811123195124625010778297693348284440535087202397551962157640223375/254517318210662276290105731631129650785248904908882566394*t^47 - 4554949172537596561807301314739707458393132769254609046411404230356165375/10830524179177118140004499218345942586606336379101385804*t^45 + 498984515675288344700031285962222259665151075602238211907810178042285088875/21661048358354236280008998436691885173212672758202771608*t^43 - 44154444737267688213234914497420528703201556286310790765968105023959202805625/43322096716708472560017996873383770346425345516405543216*t^41 + 6362133319743129571162365018346516557507101947860640463779271045987989225912125/173288386866833890240071987493535081385701382065622172864*t^39 - 375078813454556641849392388769930844920660069000498392807025188729362531553666875/346576773733667780480143974987070162771402764131244345728*t^37 + 18146732720442866735398858105163732264141105938663898490031430120159591498969150625/693153547467335560960287949974140325542805528262488691456*t^35 - 721168827062875188321806728870531964851515348222639465197145478752225096361864891875/1386307094934671121920575899948280651085611056524977382912*t^33 + 5880845378509273933865961874192785795526761859832353342746303772445507234177959996875/693153547467335560960287949974140325542805528262488691456*t^31 - 157064642256357322715804846414817759799902558849963517998328454389972274231720359393125/1386307094934671121920575899948280651085611056524977382912*t^29 + 13362445744740286863122241719823995314556121027233577851069336825097422805993236296875/10830524179177118140004499218345942586606336379101385804*t^27 - 3775061449632427528463460290329184888186973753986688610068504581949402705479100622265625/346576773733667780480143974987070162771402764131244345728*t^25 + 3431457909645396039132575065909516061104067393029140770887811584292516814069642961254890625/44361827037909475901458428798344980834739553808799276253184*t^23 - 38801406986785180507445473313236612391569366694628403355281078690703161884580833043935234375/88723654075818951802916857596689961669479107617598552506368*t^21 + 344691856757157634765926268168141132265690213380672046243318160605729639228519168786658703125/177447308151637903605833715193379923338958215235197105012736*t^19 - 2364409103389564646557219884219531593832486673925076721793357281947524556678276967387790859375/354894616303275807211667430386759846677916430470394210025472*t^17 + 6121061682853995741517331061532676533796367153829051093952690281616109925650488299163024765625/354894616303275807211667430386759846677916430470394210025472*t^15 - 23205073605896841086743901186261945939767328316540385423998149339240769502406093569303545234375/709789232606551614423334860773519693355832860940788420050944*t^13 + 61764730945655834205926395233275653792885466455244631642122791484667382522438471616466249609375/1419578465213103228846669721547039386711665721881576840101888*t^11 - 108681405463364877931730936138327601583208730292026741248918364626163405542344729995832848703125/2839156930426206457693339443094078773423331443763153680203776*t^9 + 230668175568733918641390634649229670502990146788436910545245406229052798030182942144993969296875/11356627721704825830773357772376315093693325775052614720815104*t^7 - 126457235627289748868856653701483607915443175041492575578772627945047164916971063680196281328125/22713255443409651661546715544752630187386651550105229441630208*t^5 + 26085629682060700133836439328208572475254833041841586110129529979524912615708701351635455234375/45426510886819303323093431089505260374773303100210458883260416*t^3 - 626857223464107267939842839050165807456308493211356266943681713189458130045065848652658203125/90853021773638606646186862179010520749546606200420917766520832*t
-------------------------------------------------
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: 0
  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
Positive weights:   56 out of 59
Indefinite weights: 0 out of 59
Negative weights:   3 out of 59
Extension rule has valid weights: 0
**************************************
*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
