Starting with polynomial:
P : 8*t^3 - 12*t
Extension levels are: 3 6 10 24
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Trying to find an order 6 Kronrod extension for:
P1 : 8*t^3 - 12*t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : 8*t^9 - 117*t^7 + 945/2*t^5 - 2205/4*t^3 + 945/8*t
Solvable: 1
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Trying to find an order 24 Kronrod extension for:
P3 : 8*t^19 - 23713751/51473*t^17 + 2134183615/205892*t^15 - 48885080515/411784*t^13 + 623352876985/823568*t^11 - 4536269518165/1647136*t^9 + 18427952550645/3294272*t^7 - 38805894891225/6588544*t^5 + 36681698574675/13177088*t^3 - 11110847880825/26354176*t
Solvable: 1
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Ending with final polynomial:
P : 8*t^43 - 11040571749013358933481209419687213617101082066309828785108969884646983688213880601188159564236139968639738873667311223600513742139/3568180605079471944249112204960469434884070663960111499964772460445926329719932651505529770190716061012247330079258626232101165*t^41 + 126582162591073893031000226462506283844266822260677093756162051850545559025046491543766532022748563359762524699603097498882664358242723/242636281145404092208939629937311921572116805149287581997604527310322990420955420302376024372968692148832818445389586583782879220*t^39 - 4978781160390977656493454055336177312733375155436120261285715069064692250521021845760836984362893503809221451238453636055989958591425867/97054512458161636883575851974924768628846722059715032799041810924129196168382168120950409749187476859533127378155834633513151688*t^37 + 642380288955154461151290824552281453107764246521603004575545460377229135821875201738700014677029973314445614874476285909949333040114428181/194109024916323273767151703949849537257693444119430065598083621848258392336764336241900819498374953719066254756311669267026303376*t^35 - 405115338395634043928519770088954127376584127402867361751214347403898192247983207449535838172592574363102607812555514478264780767010833747289/2717526348828525832740123855297893521607708217672020918373170705875617492714700707386611472977249352066927566588363369738368247264*t^33 + 13223773385479088729892408498883435939076652915373994157716344194471472115550297548992805312290848502582117717473640988186749143744713972658887/2717526348828525832740123855297893521607708217672020918373170705875617492714700707386611472977249352066927566588363369738368247264*t^31 - 640232370510325952682382867460818834244036020805123559960256849842069426975220815789210356669544344446576043649956687997074409266533904788975571/5435052697657051665480247710595787043215416435344041836746341411751234985429401414773222945954498704133855133176726739476736494528*t^29 + 23322123594675087273312075384075327241560535765945356810095930242992605829639417868077253219631859260550175962488848976580922583380790906546588285/10870105395314103330960495421191574086430832870688083673492682823502469970858802829546445891908997408267710266353453478953472989056*t^27 - 644586596140084854910350452547702118825157271253293730552852397706558051074696161040732844481682832948453696924613038008495781665975396044907434455/21740210790628206661920990842383148172861665741376167346985365647004939941717605659092891783817994816535420532706906957906945978112*t^25 + 60564806359019171145742560844218314141887905633662512529442695392498495044160510501397963687595077301268290576713309683174958682148378857336573825/194109024916323273767151703949849537257693444119430065598083621848258392336764336241900819498374953719066254756311669267026303376*t^23 - 799054676006741739778030088104323424671433341677122935768973201918942635708474920864971201214282922740688067784095283802901523401237780416050331375/319708982215120686204720453564458061365612731490825990396843612455954999142905965574895467409088159066697360775101572910396264384*t^21 + 11779661556055227623959057526167070878202501963288007667590399948774783021944457062714313755072471684300148814193214804861461386853483482791097901625/776436099665293095068606815799398149030773776477720262392334487393033569347057344967603277993499814876265019025246677068105213504*t^19 - 101092092758431402286813985118844318673248925147373258664591348904295034551060784236819938291790024808196956451400848253969057656034629920777524720125/1461526775840551708364436359151808280528515343958061670385570799798651424653284414056664993870117298590616506400464333304668637184*t^17 + 1364684073514899136796322751274205922428211803291346161827898690647769355782972207424726096149678057824272324980988591296406476610193549495482260639375/5846107103362206833457745436607233122114061375832246681542283199194605698613137656226659975480469194362466025601857333218674548736*t^15 - 6669320421351857835388247936499287489584373958762419632071753373371596459948481562096321842857742325317761048367286084374661729647979433924206636816875/11692214206724413666915490873214466244228122751664493363084566398389211397226275312453319950960938388724932051203714666437349097472*t^13 + 22827102510010013950340749934489305864313881636040152809739452423107993264934132181168621728116708822347443358527476658237764327486165106963255914504625/23384428413448827333830981746428932488456245503328986726169132796778422794452550624906639901921876777449864102407429332874698194944*t^11 - 116090784783032786360729851514002586232716712057228100124434757827536218259391834214160698511904484942255256544466848624463451232679370016906114083375/104394769702896550597459739939414877180608238854147262170397914271332244618091743861190356705008378470758321885747452378904902656*t^9 + 145502211303882904596465117148662980597379857953510142655337591483238373626208183936625403395934917603774019833973180215332699218185980905759019545555625/187075427307590618670647853971431459907649964026631893809353062374227382355620404999253119215375014219598912819259434662997585559552*t^7 - 15541150120211047601919893434593695339058146717793834915703051027759252698128943260464488011964843708891002363653827550112760250480839626887589635261875/53450122087883033905899386848980417116471418293323398231243732106922109244462972856929462632964289777028260805502695617999310159872*t^5 + 4730305143459895636839760561484209717858315145637335423756212768642595522020857806450802774288055934893676796880748146847274915456107729812907197798125/106900244175766067811798773697960834232942836586646796462487464213844218488925945713858925265928579554056521611005391235998620319744*t^3 - 280685744877167688804622666167778670943586644131086346581972590372160671266507084554536803896127456675829429020029427431409249382403825917944649346875/213800488351532135623597547395921668465885673173293592924974928427688436977851891427717850531857159108113043222010782471997240639488*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:   41 out of 43
Indefinite weights: 0 out of 43
Negative weights:   2 out of 43
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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