Roger, here are the rings which you need for your program.
I would tend to add one at 126-129 degrees, but since that
is fairly weak and a long ways away from the epicenter,
it is probably best to leave it out.
Mercator projection is something most people are familiar
with and would be great.

Lowell

0-5 degrees: Classical and locally triggered aftershocks. Earthquakes in this
region are commonly followed by numerous aftershocks within 5 degrees.
9-10 degrees:
17-19 degrees:
34-36 degrees:
43-45 degrees:
59-61 degrees:
71-73 degrees:
102-106 degrees***:
142-146 degrees:
176-180 degrees:

***: The strongest triggering is always expected to be along the
shadow zone boundary between 102-107 degrees from the epicenter,
at 142-146 degrees (the second shadow zone boundary) and
near the antipode if that region is at all seismic.