Apex domains cannot have CNAME records.
Question and response
Question
dig d1izr3nhvrs5li.cloudfront.net. NS
Answer
d1izr3nhvrs5li.cloudfront.net. 5 NS ns-370.awsdns-46.com.
d1izr3nhvrs5li.cloudfront.net. 5 NS ns-882.awsdns-46.net.
d1izr3nhvrs5li.cloudfront.net. 5 NS ns-1184.awsdns-20.org.
d1izr3nhvrs5li.cloudfront.net. 5 NS ns-1883.awsdns-43.co.uk.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0