We complete the classification of hyperelliptic threefolds, describing in an elementary way the hyperelliptic threefolds with group $D_4$. These are algebraic and form an irreducible 2-dimensional family.

中文翻译：

---

超椭圆三倍体的分类

我们完成了超椭圆形三重折叠的分类，以基本方式描述了组$ D_4 $的超椭圆形三重折叠。它们是代数的，形成一个不可约的二维族。