The polynomial can be derived from (x+6)(x+i)(x-i)(x+3-i)(x+3+i)=
(x+6)(x^2+1)(x^2+6x+10)=
(x^3+x+6x^2+6)(x^2+6x+10)=
x^5+6x^4+10x^3+x^3+6x^2+10x+6x^4+36x^3+60x^2+6x^2+36x+60=
x^5+12x^4+47x^3+72x^2+46x+60. This a degree 5 polynomial with zeroes: 6, i, -i, -3+i, -3-i.