Apex domains cannot have CNAME records.
Question and response
Question
dig lrz.eu. NS
Answer
lrz.eu. 5 NS dns1.lrz.de.
lrz.eu. 5 NS dns2.lrz.bayern.
lrz.eu. 5 NS dns3.lrz.eu.
Authority
The response has no authority records.
Additional
dns1.lrz.de. 5 A 129.187.19.183
dns3.lrz.eu. 5 A 78.128.211.180
dns1.lrz.de. 5 AAAA 2001:4ca0:0:100:0:53:1:1
dns3.lrz.eu. 5 AAAA 2001:718:1:1f:50:56ff:feee:180
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0