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10
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Accepted
Points on affine hypersurface over finite field
Note that the defining equation for $X$ can be rewritten as
$$(x+y)^3+(x-y)^3+(z+w)^3+(z-w)^3=-2.$$
As the linear transformation $(x,y,z,w)\mapsto(x+y,x-y,z+w,z-w)$ is invertible over any field of cha …