Is anyone's symbolic math package able to take the matrix exponential of

[  0  a  0 -d ]
[ -a  0  b  0 ]
[  0 -b  0  c ]
[  d  0 -c  0 ]

?

I set Macsyma to work on it, and it seems only to be trying to melt my laptop and burn the house down after long enough to suspect it isn't going to finish.

If a result of that is available, I'd also like to know the resulting eigenvalues and eigenvectors.

Thanks in advance,

Shel