Apex domains cannot have CNAME records.
Question and response
Question
dig digiceljamaica.net. NS
Answer
digiceljamaica.net. 4 NS ns4-core-auth-usny001.digicelgroup.com.
digiceljamaica.net. 4 NS ns0.digicelbroadband.com.
digiceljamaica.net. 4 NS dns0.digiceljamaica.net.
digiceljamaica.net. 4 NS ns3.digicelbroadband.com.
digiceljamaica.net. 4 NS ns1.digicelbroadband.com.
digiceljamaica.net. 4 NS ns3-core-auth-usfl001.digicelgroup.com.
digiceljamaica.net. 4 NS ns2-sub-jm.digicelgroup.com.
digiceljamaica.net. 4 NS ns2-core-auth-jm.digicelgroup.com.
Authority
The response has no authority records.
Additional
ns0.digicelbroadband.com. 4 A 66.54.116.2
ns1.digicelbroadband.com. 4 A 66.54.116.10
ns3.digicelbroadband.com. 4 A 66.54.126.22
dns0.digiceljamaica.net. 4 A 66.54.117.224
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0