Starting with polynomial:
P : t^5 - 10*t^3 + 15*t
Extension levels are: 5 56
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Trying to find an order 56 Kronrod extension for:
P1 : t^5 - 10*t^3 + 15*t
Solvable: 1
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Ending with final polynomial:
P : t^61 - 1488698946934398188033760927573771790176396393566/869747000783558979970315732869543405757899861*t^59 + 15451323782868840253307478774649100978278280505809309/11306711010186266739614104527304064274852698193*t^57 - 2551058167179620438349384972742307373223883185705265260/3768903670062088913204701509101354758284232731*t^55 + 1843875909873810047181407122422860823642772935906228635/7901265555685720992043399390149590688226903*t^53 - 36203701981257333883620619729973002871540389791223548950/607789658129670845541799953088430052940531*t^51 + 7104524789780551725113958878990540526441162683011418771475/607789658129670845541799953088430052940531*t^49 - 1098783055485632006630443068465641803550166514408983048391800/607789658129670845541799953088430052940531*t^47 + 136225030077824242056945151147516656506629406165660079899778375/607789658129670845541799953088430052940531*t^45 - 13698929900567225181431473258278015228612833196402904938763949250/607789658129670845541799953088430052940531*t^43 + 1126453347454579727886235855371893835374113352402793144211343692875/607789658129670845541799953088430052940531*t^41 - 1857169374660192869746468448720818417766315337720607378849774228500/14824138003162703549799998855815367144891*t^39 + 103513522988254305850290077338888588004066961206115386106502186759875/14824138003162703549799998855815367144891*t^37 - 4762921120072191359610883657037658720083509090669046614340744687463750/14824138003162703549799998855815367144891*t^35 + 180824174189963282809991480176352741258971989798260184560678669785299375/14824138003162703549799998855815367144891*t^33 - 5652446610655000310005655568877752542568042543793300386893171737189290000/14824138003162703549799998855815367144891*t^31 + 144953201275424224422236436449157293883796939085681345240525300414312630625/14824138003162703549799998855815367144891*t^29 - 104604743069747753455174998893466094479903020557153034036977927903500648750/511177172522851846544827546752254039479*t^27 + 1774094695596567023909655387331844164806036522237100173451113743929573640625/511177172522851846544827546752254039479*t^25 - 24168702576549465023676255886989439017140129777456121127147670575991525062500/511177172522851846544827546752254039479*t^23 + 261567756972267595430364504113390202302167792060319371858439842308384210890625/511177172522851846544827546752254039479*t^21 - 2218530802309070021024291906354660596501885354364875376551694632090496231906250/511177172522851846544827546752254039479*t^19 + 14503136277338632222152035048984599922482415036399307940868990512953374522203125/511177172522851846544827546752254039479*t^17 - 71596624054076912238141181726766470068875023092765683646996437707149368949375000/511177172522851846544827546752254039479*t^15 + 260231886104716472977789104310904195217620818212022764565102776326036103089765625/511177172522851846544827546752254039479*t^13 - 674480967849672146450791488331802896007644544275416385829605427010307112661468750/511177172522851846544827546752254039479*t^11 + 1195121162964850220699971417571689444132233699107239286990483146642295248356703125/511177172522851846544827546752254039479*t^9 - 1363378598545218451959271040799767112840851852825849596038175712766469285788937500/511177172522851846544827546752254039479*t^7 + 909025020591112703069735275940144566896002107503670700138611240165627501661953125/511177172522851846544827546752254039479*t^5 - 294687716555671314827868070204361083078732190606927515972559142556766158730156250/511177172522851846544827546752254039479*t^3 + 29629035212755729957334471157149415749227676737539465019795262217994311734765625/511177172522851846544827546752254039479*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: 0
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
  current precision for roots: 848
  current precision for roots: 1696
 current precision for weights: 848
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   59 out of 61
Indefinite weights: 0 out of 61
Negative weights:   2 out of 61
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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