Starting with polynomial:
P : 2*t
Extension levels are: 1 4 8 26
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Trying to find an order 4 Kronrod extension for:
P1 : 2*t
Solvable: 1
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Trying to find an order 8 Kronrod extension for:
P2 : 2*t^5 - 10*t^3 + 15/2*t
Solvable: 1
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Trying to find an order 26 Kronrod extension for:
P3 : 2*t^13 - 170/3*t^11 + 3251/6*t^9 - 2163*t^7 + 29631/8*t^5 - 20895/8*t^3 + 19215/32*t
Solvable: 1
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Ending with final polynomial:
P : 2*t^39 - 5202701469556038537182507144760312538011811/9207890989550589640350126401413210598967*t^37 + 19654481193003794350865218132958327758101386293/276236729686517689210503792042396317969010*t^35 - 55550904541184988271681382475546863360251560857719/10496995728087672189999144097611060082822380*t^33 + 908901383362777614689791362066833759604075880204919/3498998576029224063333048032537020027607460*t^31 - 186973730925217262404689631822319990966829409112863061/20993991456175344379998288195222120165644760*t^29 + 1849336838778846198061100203783485031999440914172578323/8397596582470137751999315278088848066257904*t^27 - 12436811446970345568605204484135685356999509480396715961/3110220956470421389629376028921795580095520*t^25 + 4182077236050578121607122982803080428802167345816661975/77755523911760534740734400723044889502388*t^23 - 333947146466798301888553505784265968728232725837271166595/622044191294084277925875205784359116019104*t^21 + 172852813547600921304495011530592795220227252108852747405/43652223950462054591289488125218183580288*t^19 - 1865649646031604206276369541193201062735819979342511358675/87304447900924109182578976250436367160576*t^17 + 29004429740566637495235352237400950834489661535436759829445/349217791603696436730315905001745468642304*t^15 - 158801053076483206766447973105647421837976671435114960050325/698435583207392873460631810003490937284608*t^13 + 594386362926951322130932251464978255009459751031708193610375/1396871166414785746921263620006981874569216*t^11 - 1461719750550817466955285213908833356296429365944231650061675/2793742332829571493842527240013963749138432*t^9 + 4469581812378790930408519025237549274822750886334910652864875/11174969331318285975370108960055854996553728*t^7 - 3895080142787386768870158242531170359092874858701290916806575/22349938662636571950740217920111709993107456*t^5 + 1638433588839839559652210405068126022097703781388273519218875/44699877325273143901480435840223419986214912*t^3 - 218056402088079953964415313268933592554539604993378811144875/89399754650546287802960871680446839972429824*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: 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:   37 out of 39
Indefinite weights: 0 out of 39
Negative weights:   2 out of 39
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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