> Why is it coded like that ? Is it safe ?

I'm pretty sure there is only one inverse given n and e, that is, d is unique.
Accidentally choosing the wrong d because you made an algorithmic/programming
error will create a non-working keypair. I'd say, since it works, it is correct.

Perhaps the better question is: *why* does it work? Why are the operations
equivalent?

Peter.

-- 
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