Starting with polynomial:
P : t^8 - 28*t^6 + 210*t^4 - 420*t^2 + 105
Extension levels are: 8 11 18
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Trying to find an order 11 Kronrod extension for:
P1 : t^8 - 28*t^6 + 210*t^4 - 420*t^2 + 105
Solvable: 1
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Trying to find an order 18 Kronrod extension for:
P2 : t^19 - 150851/1347*t^17 + 6541430/1347*t^15 - 47540390/449*t^13 + 566981260/449*t^11 - 3753992440/449*t^9 + 13180991670/449*t^7 - 21510616050/449*t^5 + 12604959675/449*t^3 - 2144332575/449*t
Solvable: 1
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Ending with final polynomial:
P : t^37 - 11292144696612173688285326815383722966066361219748756521981213468881/24345585954947024992516680227816571294214357877207451559207107852*t^35 + 2313803763976474037932362533653603132119335202209966305408671821640485/24345585954947024992516680227816571294214357877207451559207107852*t^33 - 46234084093845059697028538124905843690477298452390905285587152199611005/4057597659157837498752780037969428549035726312867908593201184642*t^31 + 3621787775152144014804668398526580402274084880917868847522007379403888395/4057597659157837498752780037969428549035726312867908593201184642*t^29 - 2157131422900836595753056428145562456180266041362156527387752415074489539945/44633574250736212486280580417663714039392989441546994525213031062*t^27 + 83308651143491807007682592352889181782214765465938069504382201976308168295735/44633574250736212486280580417663714039392989441546994525213031062*t^25 - 2335196384712973146251174172777758462565471846367404890412550409237328260991375/44633574250736212486280580417663714039392989441546994525213031062*t^23 + 47897479796205894770471646411670141301733160150396185958195652650811802442162125/44633574250736212486280580417663714039392989441546994525213031062*t^21 - 3957852781830687342968334488967282203458176633906135224344024212990006120629324625/245484658379049168674543192297150427216661441928508469888671670841*t^19 + 43321882725563728490907116003133421507440409038302214934340706547651675486960797000/245484658379049168674543192297150427216661441928508469888671670841*t^17 - 682693149228428373282399882109892758258801975413004707314352648510240629184556146375/490969316758098337349086384594300854433322883857016939777343341682*t^15 + 3795477602075744905884307235214320431005721314694108575561406398511069168601989520625/490969316758098337349086384594300854433322883857016939777343341682*t^13 - 14439883570906114430421076575827521064673141678783488683542559745594097651783928108125/490969316758098337349086384594300854433322883857016939777343341682*t^11 + 3265110533663939699935565832935589186067759658326158453511921103508392211869997200625/44633574250736212486280580417663714039392989441546994525213031062*t^9 - 4962719609134735081201140504029663586670977523965663523058305315553319376519906228125/44633574250736212486280580417663714039392989441546994525213031062*t^7 + 4173485951684908680097005473058900880876177418734785098285860052698911279207772640625/44633574250736212486280580417663714039392989441546994525213031062*t^5 - 3348283196191046197741570341260572703168391386529911268849086741186441377042367596875/89267148501472424972561160835327428078785978883093989050426062124*t^3 + 470179289136458950100707945007493694221888075272893083462419014468259838491513221875/89267148501472424972561160835327428078785978883093989050426062124*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:   35 out of 37
Indefinite weights: 0 out of 37
Negative weights:   2 out of 37
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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