If ${\mathrm{e}}_1$ and ${\mathrm{e}}_2$ are ecentricities of the hyperbolas $\mathrm{xy}={\mathrm{c}}^2$ and ${\mathrm{x}}^2-{\mathrm{y}}^2={\mathrm{a}}^2$ then ${\mathrm{e}}_1^2+{\mathrm{e}}_2^2=$

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