Your meeting with Fordola has given you much and more to consider.
This quest is available if you have completed the quest The Butcher's Blood.
Starting the Quest
Talk to Lyse in The Lochs to begin the quest.
Speak with the Resonatorium Guard
Go northeast to where the orange arrow is pointing in the minimap. Talk to the Resonatorium Guard and say Yes to proceed. Go to the quest icon on the map and talk to Raubahn.
Go to the southeast edge of the orange circle on the map and talk to the Flame Investigator.
Go to the north edge of the orange circle on the map and check on the sparkling Magitek Pod.
Report to Raubahn
Go to the quest icon on the map and talk to Raubahn. There will be a cutscene.
Speak with Lyse
Talk to Lyse to complete the quest. There will be a cutscene.
Next Main Scenario Quest
After you complete the quest, talk to Alphinaud to accept the next quest: A Sultana's Strings.