A 1-point poly-quadrature domain of order 1 not biholomorphic to a complete circular domain

It is known that if f: D1→ D2 is a polynomial biholomorphism with polynomial inverse and constant Jacobian then D1 is a 1-point poly-quadrature domain (the Bergman span contains all holomorphic polynomials) of order 1 whenever D2 is a complete circular domain. Bell conjectured that all 1-point poly-quadrature domains arise in this manner. In this note, we construct a 1-point poly-quadrature domain of order 1 that is not biholomorphic to any complete circular domain.