Olympus E-M1X has a Micro Four Thirds lens mount and currently there are 121 native lenses available for this mount.
The latest released lenses that are compatible with the E-M1X are the Rokinon 7.5mm f3.5 Fisheye, the Samyang 7.5mm F3.5 Fisheye MFT and the OM System 90mm F3.5 Macro.
E-M1X also has a sensor based image stabilization system that is up to 7.0-stops effective which means that all of these lenses will be stabilized when used on the E-M1X.
Since Olympus E-M1X has a Four Thirds sensor, it has a focal length multiplier of 2x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on E-M1X.
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Olympus E-M1X Lenses with Image Stabilization
Olympus E-M1X Lenses with Weather Sealings