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 43
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Trying to find an order 43 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^69 - 9521246181320200151638248650514295561705681470331969993/5456123242652626621680000822168059176059192909996139*t^67 + 7805148858705022256579461867250010064230471088747125087930/5456123242652626621680000822168059176059192909996139*t^65 - 12001059850960930731742936147195642121954353105121923490647780/16368369727957879865040002466504177528177578729988417*t^63 + 4317969777298430106331156273166376066739856056267455206364849280/16368369727957879865040002466504177528177578729988417*t^61 - 386983584169138048178086389489255650780752390801236679535951444800/5456123242652626621680000822168059176059192909996139*t^59 + 80810664187746350247369169167604198282380206903342192153668713846500/5456123242652626621680000822168059176059192909996139*t^57 - 13449003712708120770887264436989626450890111267648675674942435056166900/5456123242652626621680000822168059176059192909996139*t^55 + 1816366295743303312386927740621060440068869450071035259989192029613742500/5456123242652626621680000822168059176059192909996139*t^53 - 201676176303146050203385877421656870508365984839187282527976549378156125500/5456123242652626621680000822168059176059192909996139*t^51 + 18584497562750676871584644489740891883231059176914351523420055939903092839700/5456123242652626621680000822168059176059192909996139*t^49 - 1431081020438922162509034724923391630449092177801388077769779139119462525181900/5456123242652626621680000822168059176059192909996139*t^47 + 92531386603084310628740830466577718863052145731602254259592223126319309824400000/5456123242652626621680000822168059176059192909996139*t^45 - 5039766103387320487160281894610755011232763598342550575805810626386594132723844000/5456123242652626621680000822168059176059192909996139*t^43 + 231640960698324270688783432178315555527856596109637610986357269647887656818376566500/5456123242652626621680000822168059176059192909996139*t^41 - 8990127088823542074586195808723141313304029681083265644679768054570465726770545756500/5456123242652626621680000822168059176059192909996139*t^39 + 294470824772110496082964790616101943775715881641937142356190486566215177991206495689250/5456123242652626621680000822168059176059192909996139*t^37 - 8127659119480336040690297750329797460450113991403866507308571382497915851085134428643750/5456123242652626621680000822168059176059192909996139*t^35 + 188538117763454294619200662857340499857898056452686618501333688136188292103492319622215000/5456123242652626621680000822168059176059192909996139*t^33 - 3662136609069552276511473773610895127982150896796231130894315271018894911337665085812402500/5456123242652626621680000822168059176059192909996139*t^31 + 59272902074768357327335332305174664301282628110955305191715040316709718198448758652652440000/5456123242652626621680000822168059176059192909996139*t^29 - 27396099535627022036097686148392256428069155995711085237724589877335505751872330093591320000/188142180781125055920000028350622730208937686551591*t^27 + 301791797704570895797639223920571214731938038279769055485417286650047045569824929184379437500/188142180781125055920000028350622730208937686551591*t^25 - 2706667543691075641753502933322179046843514029912022481697794598091219429486377144337266187500/188142180781125055920000028350622730208937686551591*t^23 + 19537609571452590527930600089236375117323880337636906534153766331489833713815003144099559312500/188142180781125055920000028350622730208937686551591*t^21 - 111909880339473062346401708880090615585836772333764726454709138399803029080648259974841632687500/188142180781125055920000028350622730208937686551591*t^19 + 499804945936989897120987604123015155533355597539736760049529203761300078648892422185394491937500/188142180781125055920000028350622730208937686551591*t^17 - 1702478239193822841017164238748649770839402877090506733910359921154144119330413872101615925312500/188142180781125055920000028350622730208937686551591*t^15 + 4299561689834717806903296610718205063645581888038741996300769082195627585644593011558631395000000/188142180781125055920000028350622730208937686551591*t^13 - 7756271982136547457884960101487343071747804577011682403386771019912984943032064805537648157500000/188142180781125055920000028350622730208937686551591*t^11 + 9499026743016008285880701683653682734530374057690505713542704215658264282856553598098993995937500/188142180781125055920000028350622730208937686551591*t^9 - 7340619869099020717068320172069253722896878371690991470390523204977790795962542185278293787187500/188142180781125055920000028350622730208937686551591*t^7 + 3194582858534957773411621037043702409614369591663427391880052078524191540235982727054357077734375/188142180781125055920000028350622730208937686551591*t^5 - 640072548490537307175118535407861600165787086283020152195539603297666576239776839647306817578125/188142180781125055920000028350622730208937686551591*t^3 + 37167013185898177933379786171792107450239562923352688136639843392198776912272560925178202343750/188142180781125055920000028350622730208937686551591*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:   67 out of 69
Indefinite weights: 0 out of 69
Negative weights:   2 out of 69
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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