Starting with polynomial:
P : t^2 - 1
Extension levels are: 2 10 24
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Trying to find an order 10 Kronrod extension for:
P1 : t^2 - 1
Solvable: 1
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Trying to find an order 24 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
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Ending with final polynomial:
P : t^36 - 619179436373860848095672558382032774976633302247114653/1283099377211388502599910905832966837939445721207704*t^34 + 2250012651262999248254419438345249194038905076552240006661/21812689412593604544198485399160436244970577260530968*t^32 - 35265080163156161422753858254839628099475959769361266036991/2726586176574200568024810674895054530621322157566371*t^30 + 2895219840775142289122240057866773413205317086863726919157000/2726586176574200568024810674895054530621322157566371*t^28 - 658047079296742342877958970451276742993869462002591221387020385/10906344706296802272099242699580218122485288630265484*t^26 + 26671837959354889968758453624558739116213570884047305426794403745/10906344706296802272099242699580218122485288630265484*t^24 - 391584749778064160214509649201853884119107532940533438135549267685/5453172353148401136049621349790109061242644315132742*t^22 + 8374466589973009560107383134525589744140227735311179990879461120055/5453172353148401136049621349790109061242644315132742*t^20 - 3422931257830785925425410090867268089891977159078457904022963921800/143504535609168450948674246047108133190595903029809*t^18 + 2247599058336715697699757200053074262093487635743193089460430457300/8441443271127555938157308591006360775917406060577*t^16 - 17700250994899587303110814489390498769164385262579455462844767327950/8441443271127555938157308591006360775917406060577*t^14 + 95614816945912870365488742479853548694499967173410908523127218018075/8441443271127555938157308591006360775917406060577*t^12 - 1360751389525879788793994468898987466701880000942475305333139691413025/33765773084510223752629234364025443103669624242308*t^10 + 3007555328531040215462578388397362345811577617267378700123982664656625/33765773084510223752629234364025443103669624242308*t^8 - 1893801866888139972066605487381974553746554365611084074856445832297875/16882886542255111876314617182012721551834812121154*t^6 + 1187035703232164479346694431861135612920224311378783104330414810960875/16882886542255111876314617182012721551834812121154*t^4 - 1157672053069521303911573171855782067033878191696522519905202205241625/67531546169020447505258468728050886207339248484616*t^2 + 51343280423676617037392209644506418116345669675531636300087968388625/67531546169020447505258468728050886207339248484616
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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:   34 out of 36
Indefinite weights: 0 out of 36
Negative weights:   2 out of 36
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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