Add an SNMP Trap to an Existing Log Error Message

I have configured our F5 (BIG-IP 12.1.3.4 Build 0.0.2 Point Release 4) to send us an email alert when all the members of a pool are down: /config/user_alert.conf

 

alert BIGIP_TMM_TMMERR_LAST_PMBR_DOWN {

 

email toaddress="email.address1.com,email.address2.com"

 

fromaddress="root"

 

body="Pool Has No Available Pool Members."

 

}

 

This works great. I would like to be add an SNMP trap to this definition, but there are no pre-defined OIDs for this message (that I can find). Since the documentation for creating custom SNMP Traps states that you can't define an alert_name with the same name as an existing one, how would I add one to the above definition?