We provide criteria ensuring that a tunnel number one knot $K$ is not determined by its double branched cover, in the sense that the double branched cover is also the double branched cover of a knot $K'$ not equivalent to $K$.

中文翻译：

---

一号隧道双分支盖

我们提供的标准确保隧道一号结 $K$ 不是由它的双分支覆盖决定的，在这个意义上，双分支覆盖也是一个不等于 $K$ 的结 $K'$ 的双分支覆盖。