/usr/share/tomcat6/lib/tomcat-coyote.jar is in libtomcat6-java 6.0.39-1.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/share/tomcat6/lib/../../java/tomcat-coyote-6.0.39.jar
/usr/share/tomcat6/lib/../../java/tomcat-coyote-6.0.39.jar