Kodak S-1 has a Micro Four Thirds lens mount and currently there are 132 native lenses available for this mount.
The latest released lenses that are compatible with the S-1 are the Brightin Star 60mm f2.8 II, the 7Artisans 50mm f1.2 APS-C and the Pergear 50mm F1.2 APS-C.
S-1 also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on the S-1.
Since Kodak S-1 has a Four Thirds sensor, it has a focal length multiplier of 2� 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 S-1.
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Kodak S-1 Lenses with Image Stabilization
Kodak S-1 Lenses with Weather Sealings