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How to prove this problem about ternary quadratic form?

Is this right? And how to prove it ? For $n \equiv 1,2 \bmod 4$ $$ \Bigg|\ \mathbb Z^3\cap\Big\{(a_1,a_2,a_3)\ \Big|\ a_1^2+a_2^2+a_3^2=n \Big\}\Bigg| \\ = \frac12\Bigg|\mathbb Z^3\cap\Big\{(a_1,...