The closest Republic quick travel point is the Port Pevaria quick travel point and the closest taxi is the Uptown speeder point, both northeast on the map.
The closest Imperial quick travel point is the Business Sector quick travel point and the closest taxi is the Business Sector speeder point, both northeast on the map.
Corellia Presence +4 Datacron (Both Factions)
Quicktravel: 
Taxi: 
Shuttle: 
Location: Government District - underside of Port Pevaria, on a beam
Difficulty: Easy - one fall, then walk up to it
Codex: Galactic History 80: A Return from ExileRepublic players can just walk in to this datacron, Imperial players will need to run or fight their way in as the enemies will be hostile.
Quick Travel / Taxi
The [HEROIC 2+] Prison Busting heroic shuttle is a little bit closer.
Walk into Port Paveria in the tunnel
Fall down onto the circular pipe
Slowly walk your way off of the platforms onto the center circular pipes down below. To make this fall easier, turn walk on by pressing the slash key above the numberpad on the right hand side of your keyboard. The datacron will be at the very end of this long pipe under the main platform.
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