Starting with polynomial:
P : t^26 - 325*t^24 + 44850*t^22 - 3453450*t^20 + 164038875*t^18 - 5019589575*t^16 + 100391791500*t^14 - 1305093289500*t^12 + 10767019638375*t^10 - 53835098191875*t^8 + 150738274937250*t^6 - 205552193096250*t^4 + 102776096548125*t^2 - 7905853580625
Extension levels are: 26 41
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Trying to find an order 41 Kronrod extension for:
P1 : t^26 - 325*t^24 + 44850*t^22 - 3453450*t^20 + 164038875*t^18 - 5019589575*t^16 + 100391791500*t^14 - 1305093289500*t^12 + 10767019638375*t^10 - 53835098191875*t^8 + 150738274937250*t^6 - 205552193096250*t^4 + 102776096548125*t^2 - 7905853580625
Solvable: 1
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Ending with final polynomial:
P : t^67 - 550640152744133860060576276506040808990097967633341732665/347370223533358277498175832229340565547938809983077593*t^65 + 408858505985911643539987903870285705290751067551033581802880/347370223533358277498175832229340565547938809983077593*t^63 - 21027884176011781087081609428500043842656930496715612148431440/38596691503706475277575092469926729505326534442564177*t^61 + 20437741220947824061203594381571318740989138015704219351680265300/115790074511119425832725277409780188515979603327692531*t^59 - 4932968861037107827297576813451477896559958780440130998760484386100/115790074511119425832725277409780188515979603327692531*t^57 + 307301335069634428906882472994751130004049798713141151979318865482600/38596691503706475277575092469926729505326534442564177*t^55 - 15208854811435065078834371645666060783676647605865792474481588099501000/12865563834568825092525030823308909835108844814188059*t^53 + 1826574405257639351310103862093132799780491894335228578252881267804673000/12865563834568825092525030823308909835108844814188059*t^51 - 179749907223957047089963190452558809598245981999795873875322252577135257000/12865563834568825092525030823308909835108844814188059*t^49 + 14629993850785326144737514636003866780623411351809658578512746235485689049200/12865563834568825092525030823308909835108844814188059*t^47 - 991446100154526902951541344680906951809825122399688973390628957979095013612000/12865563834568825092525030823308909835108844814188059*t^45 + 56202373342415893433554400381916774358196825508353346561248018437559171444158500/12865563834568825092525030823308909835108844814188059*t^43 - 2672899304851391749857656274923682704234077851730029300341428671885932355975154500/12865563834568825092525030823308909835108844814188059*t^41 + 106810216195500526369720958109643202512580905224513738617184797590592021026058205000/12865563834568825092525030823308909835108844814188059*t^39 - 3587159610050525818131538057405873972696021838119863377720631705705601418817884079000/12865563834568825092525030823308909835108844814188059*t^37 + 101154564482678031684915789508759762709591161318969520999139063237581913934608252813750/12865563834568825092525030823308909835108844814188059*t^35 - 2390035775068797575353896836482154589483337188145559429182323843339735245270874679653750/12865563834568825092525030823308909835108844814188059*t^33 + 47161335939508999728159661582141197360708069210524417371381284260208240513942624799620000/12865563834568825092525030823308909835108844814188059*t^31 - 773700909003251651097582238951720403388245279902471697026944618300062537374582836496950000/12865563834568825092525030823308909835108844814188059*t^29 + 10491114369531941474186365072132741429858674474458994075250587060384335451335186711623177500/12865563834568825092525030823308909835108844814188059*t^27 - 116714334753220583245949750351650112408446139841852156295154612072446449985036808939633437500/12865563834568825092525030823308909835108844814188059*t^25 + 1055596079186636749677284517049004050370004577188654925900493620784864201563362961995517125000/12865563834568825092525030823308909835108844814188059*t^23 - 7674049011859333052432970413038914193417069970035073126044377348158650202046298446686224875000/12865563834568825092525030823308909835108844814188059*t^21 + 44220739824930198567564101048950270018777679326696054055527808906859045579494591830627908750000/12865563834568825092525030823308909835108844814188059*t^19 - 198489065343557236239824367619931951936775001051752779995668352474912646209789169013559335750000/12865563834568825092525030823308909835108844814188059*t^17 + 678926403410531940237153644047194727796097567339265523943253327053686766197725834589941443750000/12865563834568825092525030823308909835108844814188059*t^15 - 1720483588199148355355856858544547169780073940148143618078035526972643551245547107447315995000000/12865563834568825092525030823308909835108844814188059*t^13 + 3112658294144529498210048567373648237814994438640686166419134273559044921324534784140164444687500/12865563834568825092525030823308909835108844814188059*t^11 - 3823058324670123598217903817626733199946279857415093664284863392272760952027254945444464292187500/12865563834568825092525030823308909835108844814188059*t^9 + 2967725427944932187754581602608479502612093089912301055105503969256782997725782640932732911875000/12865563834568825092525030823308909835108844814188059*t^7 - 1304682295573968489570578110411471899549046351602887910879118401849087727704797356645434665625000/12865563834568825092525030823308909835108844814188059*t^5 + 266855148052301404998026147698827551689093317914562088399632586549891165138766978628262196484375/12865563834568825092525030823308909835108844814188059*t^3 - 15665842203543451257435272427605365494450235123019359800244599736175521790675037906326058984375/12865563834568825092525030823308909835108844814188059*t
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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
Sufficient bits for target precision reached
Positive weights:   65 out of 67
Indefinite weights: 0 out of 67
Negative weights:   2 out of 67
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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