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If z ^(2) + z + 1 = 0, where z is a comp...

If `z ^(2) + z + 1 = 0,` where z is a complex number, then the value of
`(z + (1)/(z)) ^(2) + (z ^(2) + (1)/( z ^(2))) ^(2) + (z ^(3) + (1)/(z ^(3))) ^(2) +...( z ^(6) + (1)/(z ^(6)) )^(2)` is

A

a) 18

B

b) 54

C

c) 19

D

d) 12

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