Classification of the ture entangled state of 2×5×5 pure systems
2×5×5纯态量子体系完全纠缠态的分类

We fully classify the quantum pure state of 2×5×5 system under stochastic local operations and classical communication. We find all together 34 inequivalent classes, 3 of which have non-local parameters. One of them has two non-local parameters, and the other two have only one. The parameters are not completely arbitrary. We find that the parameters have some symmetry properties, and there is a D3 symmetry for the case of one parameter.