Properties of i
\[1+i+i^2=-1\]
\[i^2=-1\]
\[i^3=-i\]
\[i^{4n}=1\] for n =any integer
\[i^{3n}=-i\] for n =odd integer
\[conj(1-i)=-45\] degrees or -\[\frac{\pi }{4}\] radians
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