Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 10 21
-------------------------------------------------
Trying to find an order 10 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
-------------------------------------------------
Trying to find an order 21 Kronrod extension for:
P2 : t^12 - 8477/152*t^10 + 155745/152*t^8 - 563535/76*t^6 + 1500975/76*t^4 - 2132865/152*t^2 + 110565/152
Solvable: 1
-------------------------------------------------
Ending with final polynomial:
P : t^33 - 31255889025505114576925602116015509974806127/81813282997930122813693709948513155439752*t^31 + 36182422658665850746692801579293857889138994595/572692980985510859695855969639592088078264*t^29 - 14812532864373937847105282565806001936069270117345/2481669584270547058682042535104899048339144*t^27 + 888886057776682655826615639198944139635411234448975/2481669584270547058682042535104899048339144*t^25 - 392223878481509749723914107834604094071275330080211985/27298365426976017645502467886153889531730584*t^23 + 1540720682722150237127794712924517029389797141833125605/3899766489568002520786066840879127075961512*t^21 - 29323063113371624385771415245139659445495119653842050225/3899766489568002520786066840879127075961512*t^19 + 20299322106651281798566606915683452775931008060154164525/205250867872000132672950886362059319787448*t^17 - 825587375276875315849369086548426664355222189654920375/928736958696833179515614870416558008088*t^15 + 4963985839664602417474247732372263387770219692168208525/928736958696833179515614870416558008088*t^13 - 19316072138179042610348108012325250190028650783328383025/928736958696833179515614870416558008088*t^11 + 4214630895185077673758419603020321475255729986548642125/84430632608803016319601351856050728008*t^9 - 5828434641971556415735180323895716522286423760959094625/84430632608803016319601351856050728008*t^7 + 4195056102841788930918878514030228944135441678115751875/84430632608803016319601351856050728008*t^5 - 1268220036935948964919899801044284149125123123119038375/84430632608803016319601351856050728008*t^3 + 59008678452520381468152930706458000431784443150909625/84430632608803016319601351856050728008*t
-------------------------------------------------
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: 1
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   30 out of 33
Indefinite weights: 0 out of 33
Negative weights:   3 out of 33
Extension rule has valid weights: 0
**************************************
*** EXTENSION WITH INVALID WEIGHTS ***
**************************************
