=( 1+i)*(2-ai)(4+a^2)+ 1/2

=(2+a)/(4+a^2)+(2-a)*i/(4+a^2)+ 1/2

=(8+2a+a^2)/(8+2a^2)+(2-a)*i/(4+a^2)

Real part equals imaginary part.

(8+2a+a^2)/(8+2a^2)=(2-a)/(4+a^2)

a=-2

Z=0.5i+0.5

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