[" Let "omega!=1" be a cube root of unity.Then the minimum of the set "{|a+b omega+c omega^(2)|^(2):a,b,c" distinct non-zero "],[" integers equals "]

What omegane1 be a cube root of unity. Then minimum value of set {|a+bomega+comega^(2)|^(2) , a,b,c are distinct non zero intergers) equals

If omega is a non-ral cube root of unity then the value of (a+b) (a+b omega) (a+b omega ^(2)) is-

Let omega be a cube root of unity not equal to 1. Then the maximum possible value of | a + bw + cw^(2) | where a, b, c in {+1, -1} is

If omega is a cube root of unity but not equal to 1, then minimum value of abs(a+bomega+comega^(2)) , (where a,b and c are integers but not all equal ), is

If omega is a cube root of unity but not equal to 1, then minimum value of abs(a+bomega+comega^(2)) , (where a,b and c are integers but not all equal ), is

If omega is a cube root of unity but not equal to 1, then minimum value of abs(a+bomega+comega^(2)) , (where a,b and c are integers but not all equal ), is