We had our spectra trapeze lines on the boat for four years without trouble. 3mm with a nylon cover.
To avoid tangles with any line, I never roll or coil them. Wires have to be rolled to avoid kinks and problems but I prefer to fold my lines and tie them off. By folding the line is not twisted like it would be if coiled. Folding is faster and takes less time than rolling in my experience <img src="http://www.catsailor.com/forums/images/graemlins/smile.gif" alt="" />
Make the folds short enough for the line diameter, and it should come out of storage agan really well.

Here is one example on how to do it: http://i.ehow.com/images/GlobalPhoto/Articles/2116049/butterflycoil-main_Full.jpg