Starting with polynomial:
P : 4*t^2 - 2
Extension levels are: 2 10 21
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Trying to find an order 10 Kronrod extension for:
P1 : 4*t^2 - 2
Solvable: 1
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Trying to find an order 21 Kronrod extension for:
P2 : 4*t^12 - 8477/76*t^10 + 155745/152*t^8 - 563535/152*t^6 + 1500975/304*t^4 - 2132865/1216*t^2 + 110565/2432
Solvable: 1
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Ending with final polynomial:
P : 4*t^33 - 31255889025505114576925602116015509974806127/40906641498965061406846854974256577719876*t^31 + 36182422658665850746692801579293857889138994595/572692980985510859695855969639592088078264*t^29 - 14812532864373937847105282565806001936069270117345/4963339168541094117364085070209798096678288*t^27 + 888886057776682655826615639198944139635411234448975/9926678337082188234728170140419596193356576*t^25 - 392223878481509749723914107834604094071275330080211985/218386923415808141164019743089231116253844672*t^23 + 1540720682722150237127794712924517029389797141833125605/62396263833088040332577069454066033215384192*t^21 - 29323063113371624385771415245139659445495119653842050225/124792527666176080665154138908132066430768384*t^19 + 20299322106651281798566606915683452775931008060154164525/13136055543808008491068856727171796466396672*t^17 - 825587375276875315849369086548426664355222189654920375/118878330713194646977998703413319425035264*t^15 + 4963985839664602417474247732372263387770219692168208525/237756661426389293955997406826638850070528*t^13 - 19316072138179042610348108012325250190028650783328383025/475513322852778587911994813653277700141056*t^11 + 4214630895185077673758419603020321475255729986548642125/86456967791414288711271784300595945480192*t^9 - 5828434641971556415735180323895716522286423760959094625/172913935582828577422543568601191890960384*t^7 + 4195056102841788930918878514030228944135441678115751875/345827871165657154845087137202383781920768*t^5 - 1268220036935948964919899801044284149125123123119038375/691655742331314309690174274404767563841536*t^3 + 59008678452520381468152930706458000431784443150909625/1383311484662628619380348548809535127683072*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: 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
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*** EXTENSION WITH INVALID WEIGHTS ***
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