Release your current IP address and obtain a new one from Time Warner Cable by resetting your network adapter.
Open the Start menu or Start screen and type Network. Select Network and Sharing Center from the search results.
Select Change Adapter Settings from the sidebar to open the Network Connections window.
Right-click the network adapter and select Disable from the contextual menu. If prompted, click Yes to allow Windows to disable the network adapter.
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Enable the network adapter by right-clicking it and selecting Enable from the menu. Wait a few seconds for your computer to connect to the network, get a new IP address and restore normal Internet connectivity.