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The Algebraic Bethe ansatz for a supersymmetric nineteen vertex-modelconstructed from a three-dimensional representation of the twisted quantumaffine Lie superalgebra $\mathcal{U}_{q}[\mathrm{osp}(2|2)^{(2)}]$ is presentedin detail. The eigenvalues and eigenvectors of the row-to-row transfer matrixare calculated and the corresponding Bethe Ansatz equations are obtained andanalyzed numerically.

On Bethe Ansatz for a Supersymmetric Vertex Model with $\mathcal{U}_{\rm q}[{\rm osp}(2|2)^{(2)}]$