Apex domains cannot have CNAME records.
Question and response
Question
dig awsdns-34.net. NS
Answer
awsdns-34.net. 5 NS g-ns-1954.awsdns-34.net.
awsdns-34.net. 5 NS g-ns-483.awsdns-34.net.
awsdns-34.net. 5 NS g-ns-804.awsdns-34.net.
awsdns-34.net. 5 NS g-ns-1378.awsdns-34.net.
Authority
The response has no authority records.
Additional
g-ns-483.awsdns-34.net. 5 A 205.251.193.227
g-ns-804.awsdns-34.net. 5 A 205.251.195.36
g-ns-1378.awsdns-34.net. 5 A 205.251.197.98
g-ns-1954.awsdns-34.net. 5 A 205.251.199.162
g-ns-483.awsdns-34.net. 5 AAAA 2600:9000:5301:e300:0:0:0:1
g-ns-804.awsdns-34.net. 5 AAAA 2600:9000:5303:2400:0:0:0:1
g-ns-1378.awsdns-34.net. 5 AAAA 2600:9000:5305:6200:0:0:0:1
g-ns-1954.awsdns-34.net. 5 AAAA 2600:9000:5307:a200:0:0:0:1
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0