Apex domains cannot have CNAME records.
Question and response
Question
dig LACNIC.NET. NS
Answer
lacnic.net. 2 NS ns2.LACNIC.NET.
lacnic.net. 2 NS rirns.arin.NET.
lacnic.net. 2 NS lacnic.authdns.ripe.NET.
lacnic.net. 2 NS ns.LACNIC.NET.
lacnic.net. 2 NS ns2.dns.br.
lacnic.net. 2 NS ns4.apnic.NET.
lacnic.net. 2 NS ns4.LACNIC.NET.
lacnic.net. 2 NS a.lactld.org.
Authority
The response has no authority records.
Additional
a.lactld.org. 2 A 200.0.68.10
ns.lacnic.net. 2 A 200.3.13.10
ns2.lacnic.net. 2 A 200.3.13.11
ns4.apnic.net. 2 A 202.12.31.53
ns4.lacnic.net. 2 A 190.112.52.35
a.lactld.org. 2 AAAA 2801:14:a000:0:0:0:0:10
ns.lacnic.net. 2 AAAA 2001:13c7:7002:3000:0:0:0:10
ns2.lacnic.net. 2 AAAA 2001:13c7:7002:3000:0:0:0:11
ns4.apnic.net. 2 AAAA 2001:dd8:12:0:0:0:0:53
ns4.lacnic.net. 2 AAAA 2001:13c7:7020:210:0:0:0:35
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0