Let $H_n=\frac{x^2}{1+n}-\frac{y^2}{3+n}=1, n \in N$. Let $k$ be the smallest even value of $n$ such that the eccentricity of $H_k$ is a rational number. If $/$ is length of the latus return of $\mathrm{H}_6$, then 21 / is equal to $\_\_\_\_$ .
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