Starting with polynomial:
P : 4194304*t^22 - 484442112*t^20 + 23011000320*t^18 - 586780508160*t^16 + 8801707622400*t^14 - 80095539363840*t^12 + 440525466501120*t^10 - 1415974713753600*t^8 + 2477955749068800*t^6 - 2064963124224000*t^4 + 619488937267200*t^2 - 28158588057600
Extension levels are: 22 33
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Trying to find an order 33 Kronrod extension for:
P1 : 4194304*t^22 - 484442112*t^20 + 23011000320*t^18 - 586780508160*t^16 + 8801707622400*t^14 - 80095539363840*t^12 + 440525466501120*t^10 - 1415974713753600*t^8 + 2477955749068800*t^6 - 2064963124224000*t^4 + 619488937267200*t^2 - 28158588057600
Solvable: 1
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Ending with final polynomial:
P : 4194304*t^55 - 29299937209477290534117564620807891582976/12826018422547848378106508783339*t^53 + 7345956842939883266137015274585978305511424/12826018422547848378106508783339*t^51 - 161012916312041763831910265799196118129049600/1832288346078264054015215540477*t^49 + 16954410707339783346956361147466439253963571200/1832288346078264054015215540477*t^47 - 1302477898584032897773456581742851553334930964480/1832288346078264054015215540477*t^45 + 75763161116385977486526357311385851308279649402880/1832288346078264054015215540477*t^43 - 3418600718716904410106425513375377075048790743121920/1832288346078264054015215540477*t^41 + 9355383817095325314453339329264339611706599756185600/140945257390635696462708887729*t^39 - 265306162383354766120030983934976936734046997867110400/140945257390635696462708887729*t^37 + 6040364758824077874746490821802270645893978391333580800/140945257390635696462708887729*t^35 - 110872275649714503958327437929474862995895380187814348800/140945257390635696462708887729*t^33 + 1643517674269904654154010348609184213632151930117035315200/140945257390635696462708887729*t^31 - 19666225063530667493707480792377453100433085243640286976000/140945257390635696462708887729*t^29 + 189484596669496165544601641311213065622493869072723135104000/140945257390635696462708887729*t^27 - 1463340965143395642216197330085624702281981266422998270400000/140945257390635696462708887729*t^25 + 8996812588601268463571326432111430367720865684338636500760000/140945257390635696462708887729*t^23 - 43628956433309449507163577266415443748059622847960991806740000/140945257390635696462708887729*t^21 + 164852634360430682136784560657504805548651327152742554924550000/140945257390635696462708887729*t^19 - 477704211538643411773652082174884002747963751935243610310825000/140945257390635696462708887729*t^17 + 1039964199771896185496380929041683470567606374529623355726075000/140945257390635696462708887729*t^15 - 1655505042533999996868201394174928386953969451273696274590762500/140945257390635696462708887729*t^13 + 1858178657125495390122676925265469723451158542818375247082143750/140945257390635696462708887729*t^11 - 1397168750517162316812607484176617851703089604565360834752140625/140945257390635696462708887729*t^9 + 2606216215564412373588638225374331071342376801320140707184328125/563781029562542785850835550916*t^7 - 1329354568967666347861123836972213174830202698822271614226796875/1127562059125085571701671101832*t^5 + 297688098918020702067753905858391030461897259106766713226953125/2255124118250171143403342203664*t^3 - 19721077965368831811114301553545156234580608903716550427109375/4510248236500342286806684407328*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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