Starting with polynomial:
P : t^23 - 253*t^21 + 26565*t^19 - 1514205*t^17 + 51482970*t^15 - 1081142370*t^13 + 14054850810*t^11 - 110430970650*t^9 + 496939367925*t^7 - 1159525191825*t^5 + 1159525191825*t^3 - 316234143225*t
Extension levels are: 23 40
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Trying to find an order 40 Kronrod extension for:
P1 : t^23 - 253*t^21 + 26565*t^19 - 1514205*t^17 + 51482970*t^15 - 1081142370*t^13 + 14054850810*t^11 - 110430970650*t^9 + 496939367925*t^7 - 1159525191825*t^5 + 1159525191825*t^3 - 316234143225*t
Solvable: 1
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Ending with final polynomial:
P : t^63 - 101576178119894402028670598122530462113/68193586028690041510290950788710897*t^61 + 1908278450767544297327510289326949028643137/1841226822774631120777855671295194219*t^59 - 10727602027881127741883004351727170784281204433/23935948696070204570112123726837524847*t^57 + 26965399612705452523011802586316673810771562193677/199466239133918371417601031056979373725*t^55 - 6036619648667560182847948983620382234879275575250981/199466239133918371417601031056979373725*t^53 + 208380889092568679341000092485319884140207298747917243/39893247826783674283520206211395874745*t^51 - 9479187643929794922145583797699495962855326693451887269/13297749275594558094506735403798624915*t^49 + 23129054287045141339555982258356949452319079108524983259/295505539457656846544594120084413887*t^47 - 31027016849414722096581023251168433850338896785081452132117/4432583091864852698168911801266208305*t^45 + 84431468027332244047808845726595999856462992326266748141933/164169744143142692524774511158007715*t^43 - 9227910751418192239078511104683158792809980839286115968235253/295505539457656846544594120084413887*t^41 + 464787530040205749313032148933846630814433278352833746730652347/295505539457656846544594120084413887*t^39 - 498901589749156105242442056211340637063793113836008697550016693/7577065114298893501143438976523433*t^37 + 17365422298110295844929544862038984414519110949941117167860218727/7577065114298893501143438976523433*t^35 - 502054692953474992100359126725820309136201943976286416538947525211/7577065114298893501143438976523433*t^33 + 4009052286121965279938548246331886105318477918062644643511762774185/2525688371432964500381146325507811*t^31 - 8808535840401325290629592355091904004220932959547370085954530925425/280632041270329388931238480611979*t^29 + 429071158380283692904851202177170348182880597474051330174884303556265/841896123810988166793715441835937*t^27 - 1893716925308936145367090963165837151293666398126306883336740443925375/280632041270329388931238480611979*t^25 + 20268431108929061603591301254911552234259884821147553474416596200995825/280632041270329388931238480611979*t^23 - 173443947202974478781259683225826377160540289832552158591097751287183625/280632041270329388931238480611979*t^21 + 1170543430789285315615223118089464006042026344799026321570971900909825875/280632041270329388931238480611979*t^19 - 6124323394678754124607400231337404265109120953816716349369186448913322375/280632041270329388931238480611979*t^17 + 24307580658897131636795402970939372502316826605495970620429045692800184125/280632041270329388931238480611979*t^15 - 71168844974628612351311108469936831385423971620235521036118637908590116125/280632041270329388931238480611979*t^13 + 148131162606660819867922704156823534123270007645899012785803446311995784375/280632041270329388931238480611979*t^11 - 208354537352068978708205876973364687655820538235457879348067394202966241875/280632041270329388931238480611979*t^9 + 184055051774275561779045286426490164682047939389850504611743521998202288125/280632041270329388931238480611979*t^7 - 91034982005097905145522440858992727834030191379812125195035188321904053125/280632041270329388931238480611979*t^5 + 20520763577746853237416445346092614787121339481541213449796871073329984375/280632041270329388931238480611979*t^3 - 1307886506810393190133249938351352539627413446813812509274544609814596875/280632041270329388931238480611979*t
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Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
  current precision for roots: 212
 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
Sufficient bits for target precision reached
Positive weights:   61 out of 63
Indefinite weights: 0 out of 63
Negative weights:   2 out of 63
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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