Shrinking the log file has absolutely no affect on the data indexes and their fragmentation. You would only need to check on index rebuilds if you shrink the data portion of the database. And with only ~100MB of data, shrinking it is basically a waste of time.
SQL DBA,SQL Server MVP(07, 08, 09) Prosecutor James Blackburn, in closing argument in the Fatal Vision murders trial:
If in the future, you should cry a tear, cry one for them [the murder victims]. If in the future, you should say a prayer, say one for them. And if in the future, you should light a candle, light one for them.