Starting with polynomial:
P : 2*t
Extension levels are: 1 8 14 22
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Trying to find an order 8 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 14 Kronrod extension for:
P2 : 2*t^9 - 36*t^7 + 189*t^5 - 315*t^3 + 945/8*t
Solvable: 1
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Trying to find an order 22 Kronrod extension for:
P3 : 2*t^23 - 3309583/18099*t^21 + 82235713/12066*t^19 - 1089441955/8044*t^17 + 38063466049/24132*t^15 - 179492837615/16088*t^13 + 1547216966295/32176*t^11 - 7941468990455/64352*t^9 + 46161180640575/257408*t^7 - 70208873169435/514816*t^5 + 50216778386775/1029632*t^3 - 12961617443775/2059264*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^45 - 270914842079056499755805142859393030851086370215360664952509279564665842136216426404635535193/408543910097699181065381733384475056816080457697545810056152382610123841504082544119444730*t^43 + 81228959900797786575749673038284858881067049538662307321372777339777456767995603351521494105021/817087820195398362130763466768950113632160915395091620112304765220247683008165088238889460*t^41 - 102332660158663425405042870616316027204908334567383461219394070563686287536009879724017796077484521/11439229482735577069830688534765301590850252815531282681572266713083467562114311235344452440*t^39 + 825122827880387980463219637013071025514925249196415179160263495361617964862829347992952925291003573/1525230597698076942644091804635373545446700375404171024209635561744462341615241498045926992*t^37 - 177889802361956575457715500566019609303681210569223794069848522636577996020682259611125500423508471191/7626152988490384713220459023176867727233501877020855121048177808722311708076207490229634960*t^35 + 2265149732913023052877345877747104059962333089512210244329100398005977728252901297550434440870149991203/3050461195396153885288183609270747090893400750808342048419271123488924683230482996091853984*t^33 - 126904555050870742050397616192338094945174349291499981263432578701187064253150642918845160548303962907165/7117742789257692399005761754965076545417935085219464779644965954807490927537793657547659296*t^31 + 2328110935180264199352732812747582354838569051737232495227358482825024793607927538001590511528546659431677/7117742789257692399005761754965076545417935085219464779644965954807490927537793657547659296*t^29 - 262866898558767601693584693460520904689763279321107377080694833696315852324140179326421382659086034769056795/56941942314061539192046094039720612363343480681755718237159727638459927420302349260381274368*t^27 + 5720933260018283665202858965151661655251442251093937389787056268970170131827984560572466872289318117593751863/113883884628123078384092188079441224726686961363511436474319455276919854840604698520762548736*t^25 - 670699372642836733449522642334154770525476271485127365043872652568402252134501613258781161522701279109883064575/1594374384793723097377290633112177146173617459089160110640472373876877967768465779290675682304*t^23 + 8594689820094003564264105793238253509091978856889775735017959063359610316503801198262443228388900171809062486825/3188748769587446194754581266224354292347234918178320221280944747753755935536931558581351364608*t^21 - 156883730624901369472100754681364487001567411001268211970362269542216667899031334277088044720811531233487992125/11987777329276113514114967166256971023861785406685414365717837397570511035853126160080268288*t^19 + 1138644523372056712766376556335379513091717624843142899334513685125075695918302130852163577313369774722785372375/23975554658552227028229934332513942047723570813370828731435674795141022071706252320160536576*t^17 - 12125523442336740512765885902242091093847261028083431181382537505858398705902535092593919077766361675162850980375/95902218634208908112919737330055768190894283253483314925742699180564088286825009280642146304*t^15 + 13208631100780159633338435488841025037868189758092396435748211784359082276626962791756128458443008959385521509875/54801267790976518921668421331460438966225304716276179957567256674608050449614291017509797888*t^13 - 9987701322658323633921953447971413208855299030478383196336387453027313408944575702882086939375289157117449570375/31315010166272296526667669332263107980700174123586388547181289528347457399779594867148455936*t^11 + 864217671869053100570647824334525126768516029334095905571409507469003683027896631597510634500678328506759189033875/3068870996294685059613431594561784582108617064111466077623766373778050825178400296980548681728*t^9 - 967265096650991242580710722007314951065518460364621702343911064891245771252826962730696804165763245479052964615625/6137741992589370119226863189123569164217234128222932155247532747556101650356800593961097363456*t^7 + 91039500355906638688105225238515190409931008329002830334304727556557452059994192437727833496906995702499097559125/1753640569311248605493389482606734046919209750920837758642152213587457614387657312560313532416*t^5 - 15583902748701588185896410705426655070902553580007975919334471969213352754124923049795938062141523990060697073125/1753640569311248605493389482606734046919209750920837758642152213587457614387657312560313532416*t^3 + 2077470924148033391100194284450587236520913656325347919425636556480521319990287543652411234335264671447150173125/3507281138622497210986778965213468093838419501841675517284304427174915228775314625120627064832*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:   39 out of 45
Indefinite weights: 0 out of 45
Negative weights:   6 out of 45
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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