On Saturday, August 27, 2016 at 2:00:23 PM UTC-7, saad khalid wrote:
>
> ...
> macaulay2.eval("""
> K = toField(QQ[zet]/(zet^8 - zet^6 + zet^4 - zet^2 + 1))
> A=matrix{{zet^1,0,0},{0,zet^2,0},{0,0,zet^3}}
> needsPackage "InvariantRing"
> G=generateGroup({A},K)
> P = molienSeries G
> """)
>
> ...
> This is using my editted version of to_sage(), which converts P to a
> string:
> sage: timeit('macaulay2("P").to_sage()')
> 125 loops, best of 3: 4.12 ms per loop
>
> This is using M2's internal string conversion:
> timeit('macaulay2.eval("toString molienSeries G")')
> 5 loops, best of 3: 3.97 s per loop
>
> Don't you want to compare the first to
timeit('macaulay2.eval("toString P")')
It would look to me that you're asking the "eval" to do a bit more than
you're asking "to_sage". If macaulay isn't caching the result of
molienSeries, you may end up recomputing it every time.
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