Starting with polynomial:
P : 2*t
Extension levels are: 1 2 6 10 24
-------------------------------------------------
Trying to find an order 2 Kronrod extension for:
P1 : 2*t
Solvable: 1
-------------------------------------------------
Trying to find an order 6 Kronrod extension for:
P2 : 2*t^3 - 3*t
Solvable: 1
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P3 : 2*t^9 - 117/4*t^7 + 945/8*t^5 - 2205/16*t^3 + 945/32*t
Solvable: 1
-------------------------------------------------
Trying to find an order 24 Kronrod extension for:
P4 : 2*t^19 - 23713751/205892*t^17 + 2134183615/823568*t^15 - 48885080515/1647136*t^13 + 623352876985/3294272*t^11 - 4536269518165/6588544*t^9 + 18427952550645/13177088*t^7 - 38805894891225/26354176*t^5 + 36681698574675/52708352*t^3 - 11110847880825/105416704*t
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : 2*t^43 - 11040571749013358933481209419687213617101082066309828785108969884646983688213880601188159564236139968639738873667311223600513742139/14272722420317887776996448819841877739536282655840445999859089841783705318879730606022119080762864244048989320317034504928404660*t^41 + 126582162591073893031000226462506283844266822260677093756162051850545559025046491543766532022748563359762524699603097498882664358242723/970545124581616368835758519749247686288467220597150327990418109241291961683821681209504097491874768595331273781558346335131516880*t^39 - 4978781160390977656493454055336177312733375155436120261285715069064692250521021845760836984362893503809221451238453636055989958591425867/388218049832646547534303407899699074515386888238860131196167243696516784673528672483801638996749907438132509512623338534052606752*t^37 + 642380288955154461151290824552281453107764246521603004575545460377229135821875201738700014677029973314445614874476285909949333040114428181/776436099665293095068606815799398149030773776477720262392334487393033569347057344967603277993499814876265019025246677068105213504*t^35 - 405115338395634043928519770088954127376584127402867361751214347403898192247983207449535838172592574363102607812555514478264780767010833747289/10870105395314103330960495421191574086430832870688083673492682823502469970858802829546445891908997408267710266353453478953472989056*t^33 + 13223773385479088729892408498883435939076652915373994157716344194471472115550297548992805312290848502582117717473640988186749143744713972658887/10870105395314103330960495421191574086430832870688083673492682823502469970858802829546445891908997408267710266353453478953472989056*t^31 - 640232370510325952682382867460818834244036020805123559960256849842069426975220815789210356669544344446576043649956687997074409266533904788975571/21740210790628206661920990842383148172861665741376167346985365647004939941717605659092891783817994816535420532706906957906945978112*t^29 + 23322123594675087273312075384075327241560535765945356810095930242992605829639417868077253219631859260550175962488848976580922583380790906546588285/43480421581256413323841981684766296345723331482752334693970731294009879883435211318185783567635989633070841065413813915813891956224*t^27 - 644586596140084854910350452547702118825157271253293730552852397706558051074696161040732844481682832948453696924613038008495781665975396044907434455/86960843162512826647683963369532592691446662965504669387941462588019759766870422636371567135271979266141682130827627831627783912448*t^25 + 60564806359019171145742560844218314141887905633662512529442695392498495044160510501397963687595077301268290576713309683174958682148378857336573825/776436099665293095068606815799398149030773776477720262392334487393033569347057344967603277993499814876265019025246677068105213504*t^23 - 799054676006741739778030088104323424671433341677122935768973201918942635708474920864971201214282922740688067784095283802901523401237780416050331375/1278835928860482744818881814257832245462450925963303961587374449823819996571623862299581869636352636266789443100406291641585057536*t^21 + 11779661556055227623959057526167070878202501963288007667590399948774783021944457062714313755072471684300148814193214804861461386853483482791097901625/3105744398661172380274427263197592596123095105910881049569337949572134277388229379870413111973999259505060076100986708272420854016*t^19 - 101092092758431402286813985118844318673248925147373258664591348904295034551060784236819938291790024808196956451400848253969057656034629920777524720125/5846107103362206833457745436607233122114061375832246681542283199194605698613137656226659975480469194362466025601857333218674548736*t^17 + 1364684073514899136796322751274205922428211803291346161827898690647769355782972207424726096149678057824272324980988591296406476610193549495482260639375/23384428413448827333830981746428932488456245503328986726169132796778422794452550624906639901921876777449864102407429332874698194944*t^15 - 6669320421351857835388247936499287489584373958762419632071753373371596459948481562096321842857742325317761048367286084374661729647979433924206636816875/46768856826897654667661963492857864976912491006657973452338265593556845588905101249813279803843753554899728204814858665749396389888*t^13 + 22827102510010013950340749934489305864313881636040152809739452423107993264934132181168621728116708822347443358527476658237764327486165106963255914504625/93537713653795309335323926985715729953824982013315946904676531187113691177810202499626559607687507109799456409629717331498792779776*t^11 - 116090784783032786360729851514002586232716712057228100124434757827536218259391834214160698511904484942255256544466848624463451232679370016906114083375/417579078811586202389838959757659508722432955416589048681591657085328978472366975444761426820033513883033287542989809515619610624*t^9 + 145502211303882904596465117148662980597379857953510142655337591483238373626208183936625403395934917603774019833973180215332699218185980905759019545555625/748301709230362474682591415885725839630599856106527575237412249496909529422481619997012476861500056878395651277037738651990342238208*t^7 - 15541150120211047601919893434593695339058146717793834915703051027759252698128943260464488011964843708891002363653827550112760250480839626887589635261875/213800488351532135623597547395921668465885673173293592924974928427688436977851891427717850531857159108113043222010782471997240639488*t^5 + 4730305143459895636839760561484209717858315145637335423756212768642595522020857806450802774288055934893676796880748146847274915456107729812907197798125/427600976703064271247195094791843336931771346346587185849949856855376873955703782855435701063714318216226086444021564943994481278976*t^3 - 280685744877167688804622666167778670943586644131086346581972590372160671266507084554536803896127456675829429020029427431409249382403825917944649346875/855201953406128542494390189583686673863542692693174371699899713710753747911407565710871402127428636432452172888043129887988962557952*t
-------------------------------------------------
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
**************************************
*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
