Apex domains cannot have CNAME records.
Question and response
Question
dig awsdns-03.net. NS
Answer
awsdns-03.net. 5 NS g-ns-773.awsdns-03.net.
awsdns-03.net. 5 NS g-ns-1347.awsdns-03.net.
awsdns-03.net. 5 NS g-ns-1923.awsdns-03.net.
awsdns-03.net. 5 NS g-ns-452.awsdns-03.net.
Authority
The response has no authority records.
Additional
g-ns-452.awsdns-03.net. 5 A 205.251.193.196
g-ns-773.awsdns-03.net. 5 A 205.251.195.5
g-ns-1347.awsdns-03.net. 5 A 205.251.197.67
g-ns-1923.awsdns-03.net. 5 A 205.251.199.131
g-ns-452.awsdns-03.net. 5 AAAA 2600:9000:5301:c400:0:0:0:1
g-ns-773.awsdns-03.net. 5 AAAA 2600:9000:5303:500:0:0:0:1
g-ns-1347.awsdns-03.net. 5 AAAA 2600:9000:5305:4300:0:0:0:1
g-ns-1923.awsdns-03.net. 5 AAAA 2600:9000:5307:8300:0:0:0:1
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0