Starting with polynomial:
P : t^22 - 231*t^20 + 21945*t^18 - 1119195*t^16 + 33575850*t^14 - 611080470*t^12 + 6721885170*t^10 - 43212118950*t^8 + 151242416325*t^6 - 252070693875*t^4 + 151242416325*t^2 - 13749310575
Extension levels are: 22 33
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Trying to find an order 33 Kronrod extension for:
P1 : t^22 - 231*t^20 + 21945*t^18 - 1119195*t^16 + 33575850*t^14 - 611080470*t^12 + 6721885170*t^10 - 43212118950*t^8 + 151242416325*t^6 - 252070693875*t^4 + 151242416325*t^2 - 13749310575
Solvable: 1
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Ending with final polynomial:
P : t^55 - 13971298794497151629503996191410013/12826018422547848378106508783339*t^53 + 7005650370540507570397391581140497499/12826018422547848378106508783339*t^51 - 307107765792926337875195056532280193575/1832288346078264054015215540477*t^49 + 64675944165572293651414341535440213218550/1832288346078264054015215540477*t^47 - 9937117756531012708842899946158230234794090/1832288346078264054015215540477*t^45 + 1156054094183135642799779622060941334660028830/1832288346078264054015215540477*t^43 - 104327414511624280093579880168926302339135459690/1832288346078264054015215540477*t^41 + 571007313055134601712239949295919165753576645275/140945257390635696462708887729*t^39 - 32386006150311861098636594718625114347417846419325/140945257390635696462708887729*t^37 + 1474698427447284637389279985791569981907709568196675/140945257390635696462708887729*t^35 - 54136853344587160135902069301501397947214541107331225/140945257390635696462708887729*t^33 + 1604997728779203763822275731063656458625148369254917300/140945257390635696462708887729*t^31 - 38410595827208334948647423422612213086783369616484935500/140945257390635696462708887729*t^29 + 740174205740219396658600161371926037587866676065324746500/140945257390635696462708887729*t^27 - 11432351290182778454814041641293942986577978643929673987500/140945257390635696462708887729*t^25 + 140575196696894819743301975501741099495638526317791195324375/140945257390635696462708887729*t^23 - 1363404888540920297098861789575482617126863213998780993960625/140945257390635696462708887729*t^21 + 10303289647526917633549035041094050346790707947046409682784375/140945257390635696462708887729*t^19 - 59713026442330426471706510271860500343495468991905451288853125/140945257390635696462708887729*t^17 + 259991049942974046374095232260420867641901593632405838931518750/140945257390635696462708887729*t^15 - 827752521266999998434100697087464193476984725636848137295381250/140945257390635696462708887729*t^13 + 1858178657125495390122676925265469723451158542818375247082143750/140945257390635696462708887729*t^11 - 2794337501034324633625214968353235703406179209130721669504281250/140945257390635696462708887729*t^9 + 2606216215564412373588638225374331071342376801320140707184328125/140945257390635696462708887729*t^7 - 1329354568967666347861123836972213174830202698822271614226796875/140945257390635696462708887729*t^5 + 297688098918020702067753905858391030461897259106766713226953125/140945257390635696462708887729*t^3 - 19721077965368831811114301553545156234580608903716550427109375/140945257390635696462708887729*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:   51 out of 55
Indefinite weights: 0 out of 55
Negative weights:   4 out of 55
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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