Az1,Bz2,Cz3&Dz4  are four points in complex plane where z1,z2,z3&z4 are roots of the equation z4+z3+2z2+z+1=0  then

z2+1 2+zz2+1=0  ⇒z2+1z2+z+1=0 roots are i,-i,ω&ω2 magnitudes are equal for all the above complex numbers and each  is equal to 1, and they are concyclic