Apex domains cannot have CNAME records.
Question and response
Question
dig pe. NS
Answer
pe. 5 NS A.LACTLD.ORG.
pe. 5 NS QUIPU.RCP.NET.PE.
pe. 5 NS PE1.DNSNODE.NET.
pe. 5 NS PCH.RCP.PE.
Authority
The response has no authority records.
Additional
a.lactld.org. 5 A 200.0.68.10
pch.rcp.pe. 161870 A 204.61.216.85
quipu.rcp.net.pe. 115862 A 200.1.176.4
a.lactld.org. 5 AAAA 2801:14:a000:0:0:0:0:10
pch.rcp.pe. 161870 AAAA 2001:500:14:6085:ad:0:0:1
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0