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Let the plane ax +by+cz+d=0 bisect the l...

Let the plane `ax +by+cz+d=0` bisect the line joining the points (4, -3,1) and (2, 3, -5) at the right angles। If a, b, c, d are integers, then the minimum value of `(a^2 + b^2 + c^2 + d^2)` is_______.

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