Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 3 14 28
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Trying to find an order 3 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : 4*t^5 - 14*t^3 + 6*t
Solvable: 1
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Trying to find an order 28 Kronrod extension for:
P3 : 4*t^19 - 29110357381/101992554*t^17 + 1619951720893/203985108*t^15 - 15088279415755/135990072*t^13 + 227384524996265/271980144*t^11 - 1848310702373135/543960288*t^9 + 851785811281405/120880064*t^7 - 1578667637211665/241760128*t^5 + 958190018560775/483520256*t^3 - 24793868073975/483520256*t
Solvable: 1
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Ending with final polynomial:
P : 4*t^47 - 10092867357642237959443696186968826079810722359646467701759789591401943493581005077377316482836851541884030616644481616976314306567757935560729153339320372080972676474144199/6329458387033982556902799859305086945733735388279608454748025748415508535086705005264651501386190645406529117492423740237087996581344790802874728099512626504945304095566*t^45 + 207797725283235256098124111059152441573819127912656461767083400361790344915316956647121781229693455023058215068130296130943541537482613523594854110971606592308253583576957139843/721558256121874011486919183960779911813645834263875363841274935319367972999884370600170271158025733576344319394136306387028031610273306151527719003344439421563764666894524*t^43 - 7127413179977878180514801831866051308114616165698976578391138718057776585992948030084885663658429329329919538922195450711288430538945359228991413118156658064656029225364056072891/227860501933223372048500794934983130046414473978065904370928926942958307263121380189527454049902863234635048229727254648535167876928412468903490211582454554178030947440376*t^41 + 19809325537229191131255298861266812266108373293469726375934277842347627742333625548094313557150961169031099213947309642618242127266040321602669703270997407158653464739666387341385819/8658699073462488137843030207529358941763750011166504366095299223832415675998612447202043253896308802916131832729635676644336379323279673818332628040133273058765176002734288*t^39 - 4399974765181399486972682340525107810088740415395147801225165656015196990275438173548812294063889097535139113704533862851345983460152779457036105447680530458445039840643019653041634721/36799471062215574585832878381999775502495937547457643555905021701287766622994102900608683829059312412393560289100951625738429612123938613727913669170566410499751998011620724*t^37 + 4084597562691400234062072774043867806279634487834813755760750980928436677117507795641154728955053919842064503043384250612095998245291168338688232890129501384759929585231626778165657715341/883187305493173790059989081167994612059902501138983445341720520830906398951858469614608411897423497897445446938422839017722310690974526729469928060093593851994047952278897376*t^35 - 239040888066924962944566892520939445235005827474039430956294817430494552271758976533095889543885110319200217870716667875331225681403791609159269723383479454998111794853025891837891557712115/1766374610986347580119978162335989224119805002277966890683441041661812797903716939229216823794846995794890893876845678035444621381949053458939856120187187703988095904557794752*t^33 + 3576054236487585798074918064259556024099472155147503780611780998923463856217875908008404705136264704677517584693332885145095387520937874759647915298301869072043879330244190950044357970809435/1177583073990898386746652108223992816079870001518644593788960694441208531935811292819477882529897997196593929251230452023629747587966035639293237413458125135992063936371863168*t^31 - 7753739055894247385288182018633581633167083731835931851171699454743811233113370986308868850912100537142561692460969554590382432569244253738450014722763720611079988943012081096561201516502065/147197884248862298343331513527999102009983750189830574223620086805151066491976411602434735316237249649574241156403806502953718448495754454911654676682265641999007992046482896*t^29 + 1669379002851401581403217618612166113356257911333950193546015320246208279033055730435022985649865545573875788972832682676706329816314231612079063534601551959954039466231926809460876362812885095/2355166147981796773493304216447985632159740003037289187577921388882417063871622585638955765059795994393187858502460904047259495175932071278586474826916250271984127872743726336*t^27 - 1290751323779214427909780172553936204228556756360508833764360691624583076579450790145843519034277163907700947193033729912764057428073481762097559558047434618698751616706092901935010320894449405/174456751702355316555059571588739676456277037262021421302068251028327189916416487825107834448873777362458359889071178077574777420439412687302701839030833353480305768351387136*t^25 + 20831025624219310696077760399895085525377502860265362839022873539119596533160371879367820433993968667207606322779935113774795687311993031989087382927522979516146007517741389862100602882356915875/348913503404710633110119143177479352912554074524042842604136502056654379832832975650215668897747554724916719778142356155149554840878825374605403678061666706960611536702774272*t^23 - 516282134022838111009740865603711765276127219438402024523378080136381522387713167883280155296181384067502675151445040113454818511447035299637393191188489692913904894546715415690661720672537657125/1395654013618842532440476572709917411650216298096171370416546008226617519331331902600862675590990218899666879112569424620598219363515301498421614712246666827842446146811097088*t^21 + 85292066168156107714929737643164865485805290780827771870489310390840176499808112177734675834087208070064298151155769992162446890250385484878920680953337329809322952263805882863402538114502798125/48970316267327808155806195533681312689481273617409521769001614323740965590573049214065357038280358557883048389914716653354323486439133385909530340780584800976927934975827968*t^19 - 601387792527365166652558869842101501898639679496529370249654497698829258382882935263383497217684107811141955548627744721395595007272844173743514286630515328297714706473529023307250760846918095625/97940632534655616311612391067362625378962547234819043538003228647481931181146098428130714076560717115766096779829433306708646972878266771819060681561169601953855869951655936*t^17 + 183035029738746100772375858841081185761604719501963654497642213208366728706471607141810880144860140938481467612606326571478998516095769367609930175779609197472602793952393055646474228385472420625/11522427357018307801366163654983838279877946733508122769176850429115521315428952756250672244301260837148952562332874506671605526220972561390477727242490541406335984700194816*t^15 - 450672498182565132938904384050799215189171958878827681982158932291146797416339759220787928105308340544505770662028356972339677492534368128117126779555644959923029083522696366070859576401795956875/15363236476024410401821551539978451039837262311344163692235800572154028420571937008334229659068347782865270083110499342228807368294630081853970302989987388541781312933593088*t^13 + 1143003753489738060445250434034358134682944708256561017799734990181342869446273273093224459091651803386013122472964132471170196778239955355915598761750114506277209423759365090466407015328892581875/30726472952048820803643103079956902079674524622688327384471601144308056841143874016668459318136695565730540166220998684457614736589260163707940605979974777083562625867186176*t^11 - 1879382447889749118060837761158153041197598367807677338003792670686460385207292731702877679643553218053377421724128682930557934309285241572084348091612318913646859532031259257697718136168365506875/61452945904097641607286206159913804159349049245376654768943202288616113682287748033336918636273391131461080332441997368915229473178520327415881211959949554167125251734372352*t^9 + 1823475283170821694790614765294266843703135947560638506716619321264596322408296423417536176537501835746071396282479593646391687890751021723974019300308921213253461415987959774949214644008082475625/122905891808195283214572412319827608318698098490753309537886404577232227364575496066673837272546782262922160664883994737830458946357040654831762423919899108334250503468744704*t^7 - 438287061414068472286513140059403653781159819375326117551341961459797255749159391222624483206956988285705450981180013558958600401700479360334170188250833453698836345253259904340038161866614193125/122905891808195283214572412319827608318698098490753309537886404577232227364575496066673837272546782262922160664883994737830458946357040654831762423919899108334250503468744704*t^5 + 36097610934569425592741631601939305202530958425321702934100949277810530370459240522618515830181177294669388208700884801324082977595456686122675598687233022109765025194527262359290311565979840625/122905891808195283214572412319827608318698098490753309537886404577232227364575496066673837272546782262922160664883994737830458946357040654831762423919899108334250503468744704*t^3 - 712060813062713049648569149424723866198605042945358442044107666023534062206421914334399659765789338538600049992060088531360088004890289661976072518154996076445508711140786439027417531785659375/122905891808195283214572412319827608318698098490753309537886404577232227364575496066673837272546782262922160664883994737830458946357040654831762423919899108334250503468744704*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:   43 out of 47
Indefinite weights: 0 out of 47
Negative weights:   4 out of 47
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
