It works. Thanks a lot.
Sihuang
在 2015年1月3日星期六UTC+1下午7时55分52秒，vdelecroix写道：
>
> Hi Sihuang,
>
> I see. I do not have magma, so my solution is certainly not optimal
> but you can do a three steps conversion
>
> magma polynomial ->
> string in $.1, $.2, $.3 and $.4 ->
> string in e, f, g, h ->
> polynomial
>
> To create the polynomial from a string it works out of the box
>
> sage: R.<e,x,y,z> = PolynomialRing(ZZ, 4)
> sage: string = '3 * e^2 + 2 * x * y + 13 * x'
> sage: R(string)
> 3*e^2 + 2*x*y + 13*x
>
> I hope that somebody with magma on his/her computer will come with a
> better solution.
>
> Vincent
>
> 2015-01-03 16:17 UTC+01:00, Sihuang Hu <husi...@gmail.com <javascript:>>:
> > Hi, Vincent.
> >
> > What I want to do is to get a polynomial which is in the polynomial ring
> > R.<e,x,y,z> = PolynomialRing(ZZ, 4).
> >
> > Do you know how to do this?
> >
> > Thanks,
> > Sihuang
> >
> > 在 2015年1月3日星期六UTC+1下午4时05分08秒，vdelecroix写道：
> >>
> >> Hello,
> >>
> >> If it is just a matter of display you can use the method .replace() of
> >> strings
> >>
> >> sage: sage: initial_string = "$.1 + 3 $.2"
> >> sage: sage: initial_string.replace("$.1", "e").replace("$.2", "f")
> >> 'e + 3 f'
> >>
> >> You can also have a look at
> >>
> http://stackoverflow.com/questions/6116978/python-replace-multiple-strings
> >>
> >> for multiple replacement.
> >>
> >> To convert your magma polynomial p into a string just do str(p).
> >>
> >> Vincent
> >>
> >> 2015-01-03 15:40 UTC+01:00, Sihuang Hu <husi...@gmail.com
> <javascript:>>:
> >>
> >> > Hi,
> >> >
> >> > I found that Sage is not able to compute the Complete Weight
> Enumerator
> >> >
> >> of
> >> > Linear Codes.
> >> > So I load magma to compute it:
> >> >
> >> > sage: k.<a> = GF(2**2)
> >> > sage: MS = MatrixSpace(k,4,7)
> >> > sage: G = MS([[1,1,1,0,0,0,0], [1,0,0,1,1,0,0], [0,1,0,1,0,1,0],
> >> > [1,1,0,1,0,0,1]])
> >> > sage: C = LinearCode(G)
> >> > sage: magma.CompleteWeightEnumerator(C)
> >> > $.1^7 + 7*$.1^4*$.2^3 + 7*$.1^4*$.3^3 + 7*$.1^4*$.4^3 + 7*$.1^3*$.2^4
> +
> >> >
> >> > 7*$.1^3*$.3^4 + 7*$.1^3*$.4^4 + 42*$.1^2*$.2^2*$.3^2*$.4 +
> >> > 42*$.1^2*$.2^2*$.3*$.4^2 + 42*$.1^2*$.2*$.3^2*$.4^2 +
> >> > 42*$.1*$.2^2*$.3^2*$.4^2 + $.2^7 + 7*$.2^4*$.3^3 + 7*$.2^4*$.4^3 +
> >> > 7*$.2^3*$.3^4 + 7*$.2^3*$.4^4 + $.3^7 + 7*$.3^4*$.4^3 + 7*$.3^3*$.4^4
> +
> >> >
> >> > $.4^7
> >> >
> >> > Do anyone know how I can get the output of
> >> > 'magma.CompleteWeightEnumerator(C)'
> >> > as the following form
> >> > e^7 + 7*e^4*x^3 + 7*e^4*y^3 + 7*e^4*z^3 + ...
> >> > In other words, display $.1 -> e, $.2 -> x, $.3 -> y, $.4 -> z.
> >> >
> >> > Thanks,
> >> > Sihuang
> >> >
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