z-index and jQuery UI

z-index and jQuery UI

I am using jQuery UI and the accordian widget (jQuery UI 1.8.12) and it works wonderfully!  However, I am adding this to a app that alread has a left-side expanding navigation menu.  The <UL> and <LI> elements in the menu are covered by the Accordian widget and even after setting the z-index on the <UL> and <LI> elements in IE6 (we are forced to use this per company policy).
 
Any suggestions as to why this is happening and what I need to do to fix it?