Concrete solution to the nonsingular quartic binary moment problem

\beta _{00} ]]>> for \beta , supported in \mathbb{R}^2 \beta _{ij}=\int s^{i}t^{j}\,d\mu \;\;(0\leq i+j\leq 4) \mathcal {M}(2) 6 \times 6 \beta ^{(4)} \mathcal {M}(2)_{\mathbf {i},\,\mathbf {j}}:=\beta _{\mathbf {i}+\mathbf {j}} \mathbf {i},\mathbf {j} \in \mathbb{Z}^2_+ \left \vert\mathbf {i}\right \vert,\left \vert\mathbf {j}\right \vert\le 2 \beta ^{(4)} \mathcal {M}(2)-atomic.]]>