Apex domains cannot have CNAME records.
Question and response
Question
dig antimat.net. NS
Answer
antimat.net. 1 NS lila.ns.cloudflare.com.
antimat.net. 1 NS scott.ns.cloudflare.com.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0