I imported your edge list into NodeXL.  Here are the overview stats:

Metric	Value
Graph Type	Directed
Unique Edges	1,612
Edges With Duplicates	0
Total Edges	1,612
Self-Loops	0
Vertices	136
Graph Density	0.087799564

So, it is not a complete graph, which would have a density of "1".

It is a fairly dense graph, however:

If we apply some clustering, we get:

I think there is some evidence for two major clusters in the data.

A circle layout may not be that effective:

I think a grid may be a better lay out for some purposes: here only the strongest connected patterns are highlighted.

A force-minimization layout with name labels for nodes:

Here I have filtered out all the "heavy hitters" - things with lots of in-degree to focus on things that point to things that few things point to and are themselves not pointed to too much:

Filtering away the edges yields: