This routing table is available for view in your Linksys router. Packets are routed toward their destination as directed by this routing table. The routing table is built inside the Linksys router. IP routing decisions are merely simple table look-ups. The IP address and the routing table direct a packet to a specific physical network.
Physical networks have their own addressing schemes.
One task of network protocols, therefore, is to map IP addresses to physical network addresses. The best example of this is the translation of IP addresses to Ethernet addresses. This table is built dynamically. ARP tables are created automatically by the ARP protocol, which is very stable. There is currently no method of accessing this table through your Linksys router.