Wait, but what's e^N?
CJam, 22 - 15 = 7
l~_mc\ms@me:X*\X*'+@'i

Try it online here
Takes input in the form of a b where a is the real component and b is the complex.
For ex. 2i is
0 2

gives
-0.4161468365471424+0.9092974268256817i