How to get a size of a particular lead database segment with API call ?

With /rest/asset/v1/segmentation/1032/segments.json GET request I am only able to get a list of 20 segments of segmentation of id=1032.

My aim is not only to get a full list of segments (there are more than 20), but also to be able to look at any segment by its "name" to see leads or at least get their amount (size of segment).

Is it possible at all? How to do that?