Using the above example, prove that
{-(m-1)/(2),-(m-3)/(2),dots,(m-3)/(2),(m-1)/(2)} if m is odd, {-(m-2)/(2),-(m-4)/(2),dots,(m-2)/(2),m}
If
m
is even, are complete residue system modm. (Hint! We know that
{0,1,dots,m-1}
is a complete residue system modn)