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a compatible (important word here) teleconverter will adjust the exif data for the camera automatically. The aperture you see on the camera will be adjusted and correct for what's happening on the lense.
I can't tell how the lense mount on the 500mm f4 is notched or if it can be used with an older non-electronic teleconverter. If you can use one of those, you will have to set the camera up manually for focal length and max aperture, but you should then be able to use the aperture ring on the lense.