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Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations:
$$3x - y - z = 0$$
$$-3x + z = 0$$
$$-3x + 2y + z = 0$$.
Then the number of such points for which $$x^2 + y^2 + z^2 \leq 100$$ is
Correct Answer: e
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