[magick-users] Problems using convert

[douglas sellers]

I am having a problem converting the attached EPS to a png.  I have
converted a large number of EPS's successfully to png's but this one, along
with a set of similar ones, continually gets mangled.  The resulting png is
missing a lot of the thin lines that this EPS contains.  Here is the convert
command that I am using:

convert -channel Red,Green,Blue,Opacity  -background transparent bad.eps
output.png

I am using ImageMagick: Version: ImageMagick 6.2.5 05/25/06 Q16

What needs to be changed in my convert command in order for this image not
to be mangled?