Apex domains cannot have CNAME records.
Question and response
Question
dig coolnet.ps. NS
Answer
coolnet.ps. 5 NS dns1.alami.net.
coolnet.ps. 5 NS dns2.alami.net.
Authority
The response has no authority records.
Additional
dns1.alami.net. 5 A 62.90.170.4
dns1.alami.net. 5 A 188.225.225.24
dns2.alami.net. 5 A 188.225.225.25
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0