What is the meaning of the word "trace"?

Definitions:

a just detectable amount noun
- They speak French with a trace of an accent.
an indication that something has been present noun
- there wasn't a trace of evidence for the claim
discover bits of information about or a sequence of information verb
- In order to find out what happened, I started by tracing back to the beginnings of the event.
pursue or chase relentlessly verb
- The hunters traced the deer into the woods
to go back over again verb
- we retraced the route we took last summer