Let z0 be a root of the quadratic equation, x2 + x + 1 = 0, If z = 3 + 6iz$_0^{81}$ $-$ 3iz$_0^{93}$, then arg z is equal to :

Question

Let z₀ be a root of the quadratic equation, x² + x + 1 = 0, If z = 3 + 6iz$_0^{81}$ $-$ 3iz$_0^{93}$, then arg z is equal to :

${\pi \over 4}$