On Tue, Jan 13, 2015 at 2:18 PM, Sihuang Hu wrote:
> Yes, it is related, but not what I want.
Are you sure?
sage: L = [sorted(sorted(I.orbit(list(x for x in GF(2)^3]
sage: set(map(tuple, L))
{([0, 0, 0],),
([0, 0, 1], [0, 1, 0], [1, 0, 0]),
([0, 1, 1], [1, 0, 1], [1, 1, 0]),
([1, 1, 1],)}
Yes, it is related, but not what I want.
Thanks.
在 2015年1月13日星期二 UTC+1下午4:45:23，Nathann Cohen写道：
>
> It would be more natural ro convert it to a matrix group, and then use
>> the natural action of this group.
>
>
> This is related:
>
>
> http://www.sagemath.org/doc/reference/combinat/sage/combin
Thanks for your advice. I tried it, but still does not work.
sage: F = GF(3); MS = MatrixSpace(F,2,2)
sage: gens = [MS([[1,0],[0,1]]),MS([[1,1],[0,1]])]
sage: G = MatrixGroup(gens)
sage: VS = VectorSpace(F,2)
sage: v = VS([1,1])
sage: G.orbit(v)
---
I run Sage as
sage -c "notebook(secure=true, interface=\"\", port=443, timeout=36000,
server_pool=[\"sagecalc@localhost\"])" 2> .../log1 > .../log2 &'
Now it seems that there is 6 notebook "running" as seen when logged in as
admin. However, on command line
ps afx | fgrep sagecalc@localhost
>
> It would be more natural ro convert it to a matrix group, and then use
> the natural action of this group.
This is related:
http://www.sagemath.org/doc/reference/combinat/sage/combinat/integer_vectors_mod_permgroup.html
Nathann
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On 2015-01-13, Sihuang Hu wrote:
> Suppose that we have a group G=Sym(3). Then G naturally act on the vector
> space
> V=VectorSpace(GF(2),3) by position. Now I want to compute the orbits of G
> acting on
> V. It is easy to see that the orbits are
> [ [(0,0,0)],
> [(1,0,0),(0,1,0),(0,0,1)],
>
Suppose that we have a group G=Sym(3). Then G naturally act on the vector
space
V=VectorSpace(GF(2),3) by position. Now I want to compute the orbits of G
acting on
V. It is easy to see that the orbits are
[ [(0,0,0)],
[(1,0,0),(0,1,0),(0,0,1)],
[(1,1,0),(1,0,1),(0,1,1)],
[(1,1,1)],
].
I ca
I am trying to build Sage from the current master branch but it errors in
installing ecm.
The ending part of the log is:
libtool: compile: gcc -DHAVE_CONFIG_H -I. -I./x86_64
-I/home/dufferzafar/dev/sage/local/include
-I/home/dufferzafar/dev/sage/local/include -march=native -g -O3 -fPIC -MT
l
Wikipedia says "If m is the square of a prime, for instance, there are
precisely eleven rings having order m."
Is there a way to generate those in Sage, say for example all rings of
size 9? Or in general to compute, say, rings of size 6 with unit?
--
Jori Mäntysalo
