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We construct Lax matrices of superoscillator type that are solutions of the RTT-relation for the rational orthosymplectic -matrix, generalizing orthogonal and symplectic oscillator type Lax matrices previously constructed by the authors in arXiv:2001.06825, arXiv:2104.14518, and arXiv:2112.12065. We further establish factorisation formulas among the presented solutions.

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