Starting with polynomial:
P : 32*t^5 - 160*t^3 + 120*t
Extension levels are: 5 8 26
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Trying to find an order 8 Kronrod extension for:
P1 : 32*t^5 - 160*t^3 + 120*t
Solvable: 1
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Trying to find an order 26 Kronrod extension for:
P2 : 32*t^13 - 2720/3*t^11 + 26008/3*t^9 - 34608*t^7 + 59262*t^5 - 41790*t^3 + 19215/2*t
Solvable: 1
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Ending with final polynomial:
P : 32*t^39 - 83243223512896616594920114316165000608188976/9207890989550589640350126401413210598967*t^37 + 157235849544030354806921745063666622064811090344/138118364843258844605251896021198158984505*t^35 - 222203618164739953086725529902187453441006243430876/2624248932021918047499786024402765020705595*t^33 + 3635605533451110458759165448267335038416303520819676/874749644007306015833262008134255006901865*t^31 - 373947461850434524809379263644639981933658818225726122/2624248932021918047499786024402765020705595*t^29 + 1849336838778846198061100203783485031999440914172578323/524849786404383609499957204880553004141119*t^27 - 12436811446970345568605204484135685356999509480396715961/194388809779401336851836001807612223755970*t^25 + 16728308944202312486428491931212321715208669383266647900/19438880977940133685183600180761222375597*t^23 - 333947146466798301888553505784265968728232725837271166595/38877761955880267370367200361522444751194*t^21 + 172852813547600921304495011530592795220227252108852747405/2728263996903878411955593007826136473768*t^19 - 1865649646031604206276369541193201062735819979342511358675/5456527993807756823911186015652272947536*t^17 + 29004429740566637495235352237400950834489661535436759829445/21826111975231027295644744062609091790144*t^15 - 158801053076483206766447973105647421837976671435114960050325/43652223950462054591289488125218183580288*t^13 + 594386362926951322130932251464978255009459751031708193610375/87304447900924109182578976250436367160576*t^11 - 1461719750550817466955285213908833356296429365944231650061675/174608895801848218365157952500872734321152*t^9 + 4469581812378790930408519025237549274822750886334910652864875/698435583207392873460631810003490937284608*t^7 - 3895080142787386768870158242531170359092874858701290916806575/1396871166414785746921263620006981874569216*t^5 + 1638433588839839559652210405068126022097703781388273519218875/2793742332829571493842527240013963749138432*t^3 - 218056402088079953964415313268933592554539604993378811144875/5587484665659142987685054480027927498276864*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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