Starting with polynomial:
P : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Extension levels are: 8 11 28
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Trying to find an order 11 Kronrod extension for:
P1 : 256*t^8 - 3584*t^6 + 13440*t^4 - 13440*t^2 + 1680
Solvable: 1
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Trying to find an order 28 Kronrod extension for:
P2 : 256*t^19 - 19308928/1347*t^17 + 418651520/1347*t^15 - 1521292480/449*t^13 + 9071700160/449*t^11 - 30031939520/449*t^9 + 52723966680/449*t^7 - 43021232100/449*t^5 + 12604959675/449*t^3 - 2144332575/898*t
Solvable: 1
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Ending with final polynomial:
P : 256*t^47 - 152893897695473708737943791081366129318519567964828880902121411678331000501411117834436758456176493733186033102976/1502776314935956282728604582436986130845347851712546655421143008199001784456031708198871184669560431884442619*t^45 + 27550874203881065842848651940208219942072783480863085866194813382138281149113581500372389242695782798412961769511360/1502776314935956282728604582436986130845347851712546655421143008199001784456031708198871184669560431884442619*t^43 - 80684983581242653048604835083738203030875759306038703413633532056347501387439443082410196385319754491062854636202857440/40574960503270819633672323725798625532824391996238759696370861221373048180312856121369521986078131660879950713*t^41 + 112070707174291222560774081453756667454499856297949090935697653211876684371352413527902806843842778368137414550575856783440/770924249562145573039774150790173885123663447928536434231046363206087915425944266306020917735484501556719063547*t^39 - 1953219320434281348427900539242238519448717153168219797771423256824349320659633545810255856909672781578381321010606833441000/256974749854048524346591383596724628374554482642845478077015454402029305141981422102006972578494833852239687849*t^37 + 75650630560426024862690754265696299195760518764695858818687479969912527532782337857969207723554529093585613835577979350210700/256974749854048524346591383596724628374554482642845478077015454402029305141981422102006972578494833852239687849*t^35 - 2218326900172152758934945104728005192756452068700897724505021702249900498759830268706085863859271816120144973723794109580660850/256974749854048524346591383596724628374554482642845478077015454402029305141981422102006972578494833852239687849*t^33 + 1512596881374461495206085914053469862049143567392985690107030191333164968240867954518824238134523727372690058170534666642397050/7787113631940864374139132836264382678016802504328650850818650133394827428544891578848696138742267692492111753*t^31 - 26317493622063405546887681105263701853279033202975169514588654301743243523773413636010484613125785534396096315176464876086640375/7787113631940864374139132836264382678016802504328650850818650133394827428544891578848696138742267692492111753*t^29 + 17324837925013316574645719675476310083263791150251376205401496824627639481865236293200415238216755785602886315791078890681641225/379859201558090945079957699329969886732526951430665895161885372360723289197311784334082738475232570365468866*t^27 - 4952999474381225608347088655969657438593064758704250934278111991712634478889534256501072654778547152366719131808667424073045491225/10382818175921152498852177115019176904022403339104867801091533511193103238059855438464928184989690256656149004*t^25 + 79951936698838913250292830655121348773115203356984410917505606350721248185291842973224435966324657425849471328032375552417667128125/20765636351842304997704354230038353808044806678209735602183067022386206476119710876929856369979380513312298008*t^23 - 987847397720016065104960716330854080776804338740051970492916268984734737793576103592787203887509748198116530357974085269645540299375/41531272703684609995408708460076707616089613356419471204366134044772412952239421753859712739958761026624596016*t^21 + 485684749249701031154661676420351871689695056896591928948259261868541250228724170065182658305843415900689012700489911145894667766875/4371712916177327367937758785271232380641011932254681179406961478397096100235728605669443446311448529118378528*t^19 - 3371096364211807839949022212131120824999962474916979015982652644453259506229849104373480040447961764647041577027070670340249646860625/8743425832354654735875517570542464761282023864509362358813922956794192200471457211338886892622897058236757056*t^17 + 33942952627386772681881020463923135608030554519899484620931610739981048372912732502311045589962470830964876248976846587455934074623125/34973703329418618943502070282169859045128095458037449435255691827176768801885828845355547570491588232947028224*t^15 - 119868461960642203569398623164698443108682277686155351706036330971069561504620258773007573513383977701108679016065113259880527979859375/69947406658837237887004140564339718090256190916074898870511383654353537603771657690711095140983176465894056448*t^13 + 283278436595349206763707735515524837563051285135611119182693365852765705866162873813281051302516051373499512261074026966614551586315625/139894813317674475774008281128679436180512381832149797741022767308707075207543315381422190281966352931788112896*t^11 - 418667837777642410288654889155512012648845994846673089485263494108112422629560319755006306019864812756886952793610568015479001963271875/279789626635348951548016562257358872361024763664299595482045534617414150415086630762844380563932705863576225792*t^9 + 350159195596690367225265420925996693975950985949315077468073968833597965055899277868416508231234375428044889217282310628638676311671875/559579253270697903096033124514717744722049527328599190964091069234828300830173261525688761127865411727152451584*t^7 - 141868284307233351915800133795887572636183750736354986968569779470325580908903492595364025518023810261607927101875169165721120782390625/1119158506541395806192066249029435489444099054657198381928182138469656601660346523051377522255730823454304903168*t^5 + 20654718585953766957297460447266768104540193117786730514966459393805898521156417308775379322019290060370472385866977616215356621109375/2238317013082791612384132498058870978888198109314396763856364276939313203320693046102755044511461646908609806336*t^3 - 149581533247864174744375346975316623874146815318221828045695623595289777465459838088324379548023157448550525277180632365005767078125/4476634026165583224768264996117741957776396218628793527712728553878626406641386092205510089022923293817219612672*t
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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
Positive weights:   42 out of 47
Indefinite weights: 0 out of 47
Negative weights:   5 out of 47
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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