The three modes I think you are referring to are:
1. "Normal" mode (sensor does line skipping by 3, i.e. only every third row/column is read, max res is sensor / 3)
2. "Crop" mode (you get by using the 5x Digital Zoom, actual raw data is 3x, you get pixels that are 1:1, no line skipping, max res varies by camera)
3. "60p" mode (you get when recording high speed using 50/60p in Canon menu, max res varies by camera)
as far as max resolutions go, usually #2 > #1 > #3
The instructions I gave you would be for option #2. If you want to figure out what it would look like with #1, take the still image and reduce the resolution by 3x (rescale by dividing the width and height by 3), then crop to the resolution you'll be shooting at (Hint: on 5D3, 1080p is going to be the full FOV b/c sensor size = 1080p * 3). #3 is strange and the image gets 'squeezed' and it's different per camera and I don't have a 5d3, so I'm not sure how to tell you how to figure it out, but do you actually plan on doing high speed/slo mo? If not you won't use it (it's also buggier AFAIK).
I'm just guessing, but I think this is going to be a really good lens for wide angle crop mode shots. Crop mode has less moire and aliasing and you can get a higher max resolution (though you are limited by card speed).