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factor(PolyElem{nf_elem}) slow.. #152

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fieker opened this issue Feb 5, 2021 · 2 comments
Closed

factor(PolyElem{nf_elem}) slow.. #152

fieker opened this issue Feb 5, 2021 · 2 comments

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@fieker
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fieker commented Feb 5, 2021

consider:
x^22 + 11264x^21 + 108134400x^20 + 582253281280x^19 + 2643810068725760x^18 + 6274789714415321088x^17 + 10393103790020736581632x^16 - 26964124627218324678246400x^15 - 61113430392878016266187571200x^14 - 213091256467749679196075458560000x^13 + 659795291037497073621484487835648000x^12 - 218715905250259965549160383884820480000x^11 - 4691479368859726215309700317515643617280000x^10 + 18763705130498258945783687744375729600593920000x^9 - 27621622828761193673571225505441090503620689920000x^8 - 2847327150033767189886543281086124743621638881280000x^7 + 96615588727173557503360268281161873703549936525639680000x^6 - 229835907220318672403717140991492550238864203055104000000000x^5 + 308733648987598398195527756629686765531719284130473574400000000x^4 - 259665702138139321625728949251881979040351910093995900928000000000x^3 + 135845160848670688869014474010007121327144581305391801958400000000000x^2 - 40944244103037831174890279502367127526949781124619826437816320000000000*x + 5497408998449834675230023541576565374247802780368536137105408000000000000

then trying to factor over the number field defined by this, the majoritiy of the time is in the norm computation. As Magma does this in <2.5 sec, we should be able to improve on the norm

@thofma
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thofma commented Feb 5, 2021

How long does it take in Hecke?

@fieker
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fieker commented Feb 5, 2021 via email

thofma added a commit that referenced this issue Apr 16, 2021
@thofma thofma closed this as completed in 97e42a8 Apr 17, 2021
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