Done
http://sagetrac.org/sage_trac/ticket/1219
On Nov 20, 2007 2:22 PM, William Stein <[EMAIL PROTECTED]> wrote:
>
>
> On Nov 20, 2007 11:14 AM, David Joyner <[EMAIL PROTECTED]> wrote:
> >
> > Hi:
> >
> > Something funny is going on:
> >
> > sage: MS = MatrixSpace(CC, 2, 2)
> > sage: A = MS([[1,5
On Nov 20, 2007 11:14 AM, David Joyner <[EMAIL PROTECTED]> wrote:
>
> Hi:
>
> Something funny is going on:
>
> sage: MS = MatrixSpace(CC, 2, 2)
> sage: A = MS([[1,5],[3,-1]])
> sage: A.eigenspaces()
>
> [
> (4.00, [
> (1.00, 1.00)
> ]),
> (-4.00, [
>
You're right - thanks. I have a question about the output of this though.
F5 has 4 distinct eigenvalues (one of them has multiplicity 2).
F5.eigenspaces() correctly returns the eigenspaces defined over
QQ(zeta5). There are two eigenvalues not in QQ(zeta5)
but the output simply indicates "(a2,[ ])"
On 1/30/07, David Joyner <[EMAIL PROTECTED]> wrote:
>
> Hello all:
>
> In trying to compute the eigenvalues and eigenvectors of the
> discrete Fourier transformation for Z/5Z for a class I'm teaching,
> I came across the following:
>
> sage: MS = MatrixSpace(CyclotomicField(5),5,5)
> sage: z = Cyc