Apex domains cannot have CNAME records.
Question and response
Question
dig peerlive.org. NS
Answer
peerlive.org. 4 NS ns-1698.awsdns-20.co.uk.
peerlive.org. 4 NS ns-334.awsdns-41.com.
peerlive.org. 4 NS ns-60.awsdns-07.com.
peerlive.org. 4 NS ns-1357.awsdns-41.org.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0