Starting with polynomial:
P : t
Extension levels are: 1 10 68
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Trying to find an order 10 Kronrod extension for:
P1 : t
Solvable: 1
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Trying to find an order 68 Kronrod extension for:
P2 : t^11 - 55*t^9 + 990*t^7 - 6930*t^5 + 17325*t^3 - 10395*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^79 - 767007228865468331878975927722704541678144958491485534901120009987575447430170984684271046848894645730150673947/278992975266353450884842938790475369805965211710115148809543320841659739728192887469054532243203545009412347*t^77 + 60951275612997744900430107180017621341179695440884949511706225481565601335250653755659230254558228236985053007941361/17018571491247560503975419266218997558163877914317024077382142571341244123419766135612326466835416245574153167*t^75 - 16698853828869187292789414628271573378080518273991464265753781115485565131254632223747553561287246802299978583893397655/5672857163749186834658473088739665852721292638105674692460714190447081374473255378537442155611805415191384389*t^73 + 573907061202252308947337056338803044181660605207934300609615676748450981139958736800344854034536809579776316745668310788325/334698572661202023244849912235640285310556265648234806855182137236377801093922067333709087181096519496291678951*t^71 - 7317590993664360745547910032727478206681846769434859604931926260114514767728517207085830973826593420452359666465929180992416185/9706258607174858674100647454833568274006131703798809398800281979854956231723739952677563528251799065392458689579*t^69 + 841805465176329462662942227316917165325086497696834781483639401456269409734052684365686240224623818045233191947006066656639066845/3235419535724952891366882484944522758002043901266269799600093993284985410574579984225854509417266355130819563193*t^67 - 234147061632293467395620459406486979982479563768637405431592566553537214327358654462149320293816597182223481412880961499013059687785/3235419535724952891366882484944522758002043901266269799600093993284985410574579984225854509417266355130819563193*t^65 + 53484738674492972411142668786857793930540384949036367062647092427367678136752271971251441825283729194890394507557261617312678557071300/3235419535724952891366882484944522758002043901266269799600093993284985410574579984225854509417266355130819563193*t^63 - 5379379673572807277583135909560193614347449591631349094828575620385581905678187488002238493777324212789456045042103714148949949910700/1710956920002619191627119241112915260709700635254505446642038071541504712096552080500187471928750055595356723*t^61 + 14588746826210624278731617316570421653951264857295937046613664735064738049312913142734653816083723421863885289165545705441218803978300/28999269830552867654696936290049411198469502292449244858339628331211944272822916618647245286927967043989097*t^59 - 68250313882417029226257598292425257143154330358235420809402503909833943646742188527872182429718540598176769395079433485860583373676700/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^57 + 7897945865151071177229981228703790034231483084883769090110992838490792129632610351138431882929616087654187959850559367303688550246437100/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^55 - 783028300366838584459735542757904799746918815538414409566705877677197988207147980871907381360307919295088653807941275839841074813636511500/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^53 + 66725975040860524851009484284931465280724787167907574191896872998534555960779399997688740803719197772138739073634687861529911502195069976500/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^51 - 4898033143959101772073018959456019529321159374426354020465863055420282264928205547190796155393911220839703626026061410907882965118110747422500/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^49 + 310116890531114959685970020953408615516858848669749579745318825625823059325489050336371664084333222472749330991539017338555642492985289453503750/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^47 - 16944347153839044397445238955509961694157696374640561389707555088377256178972242180076848491376629592220362478947340252166603251153999982417023750/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^45 + 798756266795375136796841254884497576793447944747071649670238142768153423459773893296273767622042482283396538275500350823059299647909544086221656250/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^43 - 32454575943799105716501428761881849796933004824262245197282969462868266217662023211317254207933189234078628815961698552418833367487492203058156581250/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^41 + 1134702469555573629886363223228780735288971761038712782546397276633747625129617465460342715827300758315003197550505966727503304057021690850486932681250/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^39 - 34055479308148258479204167615306376659428988087942256685382789668370818303376732124196303615602053897466003075084170308330182169124485931726804509931250/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^37 + 874602025773262567795122248217747772361958435709514411790805320426710723761345224566207571380000939545744029214304707349757237042635826771050382306168750/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^35 - 19142966187245358326550958715172761600273216082647908526891719313600878834676208777179078023262954586659852745374235918171299291977904615343928352838093750/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^33 + 355334717636094603286404028553587543305112403278496183762859012960055934556114892177957116202899062937681221102486978294176160899313398295117216306862562500/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^31 - 5560244112234275082200410831202078608734428265771366444276028019580317298424167313831893781955479192471649154213887382690874677430964787451587583694019562500/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^29 + 72819587075437863845278249183072793242713225837598024613713608765134776176841082675609410665887240541490177207667363641240617313595564552102577686534066437500/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^27 - 791313332655738811902234690274948164573420702356417559346112600157351056873611641726287151089870045013806937871376299789450062848237997206569683369025956187500/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^25 + 7061449442420570264058890199736830589838645500284699619567497137567261467074379248754048575492706504930499208398241669003569556821624806879814198932563450937500/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^23 - 51105163619372427953016023517027864761877298410928686761676031329485797954418820952535052746580802731428616239146392633444413661051266904937675045370427623437500/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^21 + 295453030636685748477787050119319955550029323406272203449420073046988117239573832292643480219973587255587626918945518794201278185217021113238175001218726631562500/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^19 - 1339387002193468170255239904239224481563667957341418913596099426397561363814420919968869183088576389280732035359978894417407252331094069990699360903043491400312500/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^17 + 4652475995042156536152165008441969646767326077357959230171230813683344466725010670443688749174885658141513386075820061743296892627568391008593120736379766116953125/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^15 - 12024427988336459304461665874220261622252854447021158297984604281123301550610329719096404978506860152454477620065049738727641321475415726488472672351429709389453125/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^13 + 22251099583030657202796931682857941248876990334412251881764974422959317198716535529360123116217335720388995137932408672867570328910869710925613346942769416923046875/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^11 - 27978188565113255538760103615768411858781139670206800837177822243323884182028029544602114692407789558105325252176203900319473236837802846908225562461249971758984375/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^9 + 22170785691500288945288891805635186466906173965026489807262712764713575270189757501875206416171978875262095427428809445095002428940610151062992780222676020493359375/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^7 - 9846354293389470395352349664690723772985713290295177619536956609806829779017106290667848555690566760541606371830595042822881689862459779951189881378391804890234375/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^5 + 1990457206597768341041996440407600868081049999653228658741512222952262500710793901233338962244501197480590960758973687911596348809374629254018752473351941478515625/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*t^3 - 114028584017848871078593389642007626559134231758494939132735551682396974820464790178812215195181037053107385024421044744926472822916172113032960308075062689453125/999974821743202332920584010001703834429982837670663615804814770041791181821479883401629147825102311861693*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: 0
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 848
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   77 out of 79
Indefinite weights: 0 out of 79
Negative weights:   2 out of 79
Extension rule has valid weights: 0
**************************************
*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
