（填空题）已知向量\(\alpha_{1}=\begin{pmatrix}1\\0\\1\\1\end{pmatrix}\)，\(\alpha_{2}=\begin{pmatrix}-1\\-1\\0\\1\end{pmatrix}\)，\(\alpha_{3}=\begin{pmatrix}0\\1\\-1\\1\end{pmatrix}\)，\(\beta=\begin{pmatrix}1\\1\\1\\-1\end{pmatrix}\)，\(\gamma = k_{1}\alpha_{1}+k_{2}\alpha_{2}+k_{3}\alpha_{3}\). 若\(\gamma^{T}\alpha_{i}=\beta^{T}\alpha_{i}(i = 1,2,3)\)，则\(k_{1}^{2}+k_{2}^{2}+k_{3}^{2}=\)________.