Apex domains cannot have CNAME records.
Question and response
Question
dig par.nj.us.planet.net. NS
Answer
par.nj.us.planet.net. 5 NS ns-1905.awsdns-46.co.uk.
par.nj.us.planet.net. 5 NS ns-578.awsdns-08.net.
par.nj.us.planet.net. 5 NS ns-510.awsdns-63.com.
par.nj.us.planet.net. 5 NS ns-1370.awsdns-43.org.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0