WARNING: This page is about a different car, the 2011 BMW M3, 2010 BMW M3, 2009 BMW M3, and 2008 BMW M3. However, it is still accessible from the selected car via links, so may be relevant.
Fig 1: Identifying Adapter (361300)
Courtesy of BMW OF NORTH AMERICA, INC.
NOTE:
(set of wheel stud adapter kit) For loosening and tightening wheel studs. Theftproofing