Starting with polynomial:
P : 2*t
Extension levels are: 1 4 10 34
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Trying to find an order 4 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 10 Kronrod extension for:
P2 : 2*t^5 - 10*t^3 + 15/2*t
Solvable: 1
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Trying to find an order 34 Kronrod extension for:
P3 : 2*t^15 - 1805/21*t^13 + 169685/126*t^11 - 2447225/252*t^9 + 268675/8*t^7 - 846835/16*t^5 + 1039225/32*t^3 - 327525/64*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^49 - 4175800205808505672520320090786198999805978345308978443685245435150381643997343295853489/4590629804181073661263159751716754087714196155258679218560831995805786188647872427496*t^47 + 1639633442027414667183921517477927533365639865733293557910836978694224563542005361199709720153/8676290329902229219787371930744665225779830733438903723079972472072935896544478887967440*t^45 - 3224001978586333697225100349480918863501361774349694221876997003445050706332371000278738334502641/135350129146474775828683002119616777522165359441646898080047570564337799986093870652292064*t^43 + 236744622419333190661335716380685164876887194671393693222072429147849178429133444756845441862551561/116014396411264093567442573245385809304713165235697341211469346198003828559509031987678912*t^41 - 204913304471979855280122079027876331999195528039473245799213203871201803099814802953850243949393547175/1624201549757697309944196025435401330265984313299762776960570846772053599833126447827504768*t^39 + 6316533025430263551483970362931845268601710122239858784069040298489318324671947729402795692387733947005/1082801033171798206629464016956934220177322875533175184640380564514702399888750965218336512*t^37 - 9118187731350101871789057357350193072553957422696970314921971475049982440619167281652153329663607361551/44195960537624416597120980283956498782747872470741844271035941408763363260765345519115776*t^35 + 3502705545374631251376036636993091822085826256436846332138207398476869859612758763804464314050421287821165/618743447526741832359693723975390982958470214590385819794503179722687085650714837267620864*t^33 - 25067979424138137839153374150874514976438182329410632715812941909067995730721847733387997460237504089338635/206247815842247277453231241325130327652823404863461939931501059907562361883571612422540288*t^31 + 845823351087858857131392077188279206277381522984991943535999708992932508774412080795127326786808437148569475/412495631684494554906462482650260655305646809726923879863002119815124723767143224845080576*t^29 - 3205634250434898003043614006112402984493730884283728105036220656315531643217682298473803555745498140168579975/117855894766998444258989280757217330087327659921978251389429177090035635362040921384308736*t^27 + 1330179635623195626049131204605440707400948836783403659056003712436407028024498971506436915444588391989345275/4700804919481419429133475585757956185819336862984887519806291963705125057175421365755904*t^25 - 7195269663505307303147833907171441634427250020847203123040057995535839181800642264815269256739327243315488125/3133869946320946286088983723838637457212891241989925013204194642470083371450280910503936*t^23 + 12896858368647880770186691960140958643016749497321164262734706386020166701602750824595437156586933435110866875/895391413234556081739709635382467844917968926282835718058341326420023820414365974429696*t^21 - 41202187137980680290277682657151375631564035826849532330807614040520678758496402607458993471337691028977991875/596927608823037387826473090254978563278645950855223812038894217613349213609577316286464*t^19 + 127221201665247331790886152292500751388320140206688740326828652008171602840322668239284286840539684012099044375/511652236134032046708405505932838768524553672161620410319052186525727897379637699674112*t^17 - 9447119284826398906207668212197093454781066672534450982220901963909053216580797983806318632255270726235393354625/14326262611752897307835354166119485518687502820525371488933461222720381126629855590875136*t^15 + 1709550630279463198340996190013364426054780341225152068435371517453887637624286058829132090403514989993405923125/1364405963024085457889081349154236716065476459097654427517472497401941059679033865797632*t^13 - 31426373789790618575568913313928035074200404377195029518261909575910999869788663949923167981671865478150059650625/19101683482337196410447138888159314024916670427367161985244614963627174835506474121166848*t^11 + 54245925137612520539265552783291583499632798397459586738346384885169279236529081016074534150271100401476833053125/38203366964674392820894277776318628049833340854734323970489229927254349671012948242333696*t^9 - 2716809932920654938137836567477849613175758991348831697247691029853075398392163129876923655640419236839070940625/3638415901397561221037550264411297909507937224260411806713259993071842825810756975460352*t^7 + 1521983973176400770096156310676939892621577306251042758179112904278014889618301667215480307033748794226530230625/7276831802795122442075100528822595819015874448520823613426519986143685651621513950920704*t^5 - 331693360783493209857351330325205866213699516361766042363268026742383091397561171168445125333640941475310696875/14553663605590244884150201057645191638031748897041647226853039972287371303243027901841408*t^3 + 4565967048866500492887700704482738760709333621071055677585247560936990098297633603659688510011099956590334375/29107327211180489768300402115290383276063497794083294453706079944574742606486055803682816*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:   44 out of 49
Indefinite weights: 0 out of 49
Negative weights:   5 out of 49
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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