We classify transversal quintic spectrahedra by the location of 20 nodes on the respective real determinantal surface of degree 5. We identify 65 classes of such surfaces and find an explicit representative in each of them.

翻译：我们根据5度实际决定性表面的20个节点的位置,对横贯五角光谱进行分类,确定65个此类表面的类别,并在其中每个类别中找到一个明确的代表。