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Saffronspokes-
Sorry, we weren't being willfully obtuse, it's just that there are so many different things that effect the lengths! You're best bet as mentioned above is waiting until bike is built, but if you've got to order them now you might as well go a bit longer, and run the risk of needing to return.
Box a to b is 1600mm
Battery to b 1300mm
Fr mech to b is 350mm
Rr mech to b is 650mm
Shifters to a would be 350mm each sideAbove is working on the assumption that you are running a under stem junction a box. If you're getting a bike shop to build it I'd run this passed them as they may have their own ideas about routing, which will effect length.
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Can I ask a question about your 51cm ... what size rider is it for? I'm a smaller rider and trying to work out what would be best. I'm sitting between the 51 and 53.
The answer might be: go see a fitter, but I'm lazy
¯_(ツ)_/¯