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How can I get all possible coordinate from implicit function ?

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How can I get all possible coordinate (x,y,z) from this function function
cos(x) + cos(y) + cos(z) = 0
I've tried this but, it did work.
syms X Y Z z
counter = 1;
for x = -5:5
for y = -5:5
Data.X(counter) = x;
Data.Y(counter) = y;
Data.Z(counter) = solve(cos(x) + cos(y) + cos(z) == 0,z);
counter = counter + 1 ;
end
end

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