Starting with polynomial:
P : t^6 - 15*t^4 + 45*t^2 - 15
Extension levels are: 6 49
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Trying to find an order 49 Kronrod extension for:
P1 : t^6 - 15*t^4 + 45*t^2 - 15
Solvable: 1
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Ending with final polynomial:
P : t^55 - 451261493390660924679193591805572348338819647869267555/338071256417604147929271014526164762694207273539701*t^53 + 3063133597273350873226082394833122049069738012996792143895/3718783820593645627221981159787812389636280008936711*t^51 - 561167442386030421079468183650662891420867949085426448364495/1796715778489064741242080785066021716341124049261557*t^49 + 13047140420016694370019930160851080762184491753330640569271185430/159907704285526761970545189870875932754360040384278573*t^47 - 2495554367940309582699404915516829440496889351529306451273467502090/159907704285526761970545189870875932754360040384278573*t^45 + 32963953366630701802956231783154683537333703592299744209889832523450/14537064025956978360958653624625084795850912762207143*t^43 - 86654435143940940742126025191672739739616586444420184338927812153050/338071256417604147929271014526164762694207273539701*t^41 + 7741900548580754677214243575121618458662201522649186822619102678077575/338071256417604147929271014526164762694207273539701*t^39 - 29076851698398510152833391154955370022790354418138404272706202684097675/17793224021979165680487948132956040141800382817879*t^37 + 1668301435827925743750985974349213840302843609548357078255098256128977525/17793224021979165680487948132956040141800382817879*t^35 - 4065295151665844901210824515166617824952311426482425323639299643775507125/936485474841008720025681480681896849568441200941*t^33 + 2888993173584244114477385069812423705941347622788818288120736193181526059500/17793224021979165680487948132956040141800382817879*t^31 - 4589320839063717477682809138185373476075200521983480940412821247056512569500/936485474841008720025681480681896849568441200941*t^29 + 2117045027404276008504006094400706351808322664159217076335044989779645807705500/17793224021979165680487948132956040141800382817879*t^27 - 41127947831478949850272526450707723835151989703077171972204254579153569392536500/17793224021979165680487948132956040141800382817879*t^25 + 634536288777780564814503894722473883214695391693166437980564062530948389632790625/17793224021979165680487948132956040141800382817879*t^23 - 7697018965317305490353286562133365191485313981658527762487679304473272882316784375/17793224021979165680487948132956040141800382817879*t^21 + 72452797542102041637142978290235383589697801659554133765696861074679083335175590625/17793224021979165680487948132956040141800382817879*t^19 - 27387898630214713066417356856280458413206309047161201551541975176619656685081440625/936485474841008720025681480681896849568441200941*t^17 + 2789502315028622222295656431283191557650691245669799762756343749776688937832314631250/17793224021979165680487948132956040141800382817879*t^15 - 10838417695210334963781225851152770123613709363372493658482122049393603257654631468750/17793224021979165680487948132956040141800382817879*t^13 + 29315148941854219395233132710122584192932303525821954863332418436407126591281468406250/17793224021979165680487948132956040141800382817879*t^11 - 52060413129361548752335677791175008971441909912014565426567272580406988850100965968750/17793224021979165680487948132956040141800382817879*t^9 + 55419124056555958030372154729067193657452057866516426039550719731162827761120222296875/17793224021979165680487948132956040141800382817879*t^7 - 30160231788089941534287376467415081947935734052196563660506576851267099079186735078125/17793224021979165680487948132956040141800382817879*t^5 + 5917386825307713939043380126258033542434490762153289339140924397290006621137486171875/17793224021979165680487948132956040141800382817879*t^3 - 50921732550984757027110272708475065757538784426139582027427669641357679954964765625/17793224021979165680487948132956040141800382817879*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:   54 out of 55
Indefinite weights: 0 out of 55
Negative weights:   1 out of 55
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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