Pauli Y eigenstate ($|\pm i⟩=(|0⟩\pm i|1⟩)/\sqrt{2}$)

The two eigenstate rays of the Pauli Y gate have the displayed normalized representatives and respective eigenvalues $+1$ and $-1$. They form an orthonormal basis. Multiplication by $Y$ changes only the global phase of each of these states; it does not exchange their eigenvalue labels.