Back to Lightning on The Lindblum. There is nothing to do here so just go straight to the yellow mark to progress the game.

• ENEMY (E-01): PSICOM Infiltrator (x1) (FIRST ENCOUNTER), PSICOM Raider (x2) (FIRST ENCOUNTER)

After the battle, fix your paradigm list as follow because the default paradigms suck:

• RAV/RAV/COM (default)
• RAV/MED/COM
• COM/MED/SEN
• MED/SYN/SAB
• COM/RAV/COM
• COM/RAV/SEN
   
• ENEMY (E-02): PSICOM Infiltrator (x2), PSICOM Raider (x1)

Activate the elevator. Once you reach the top, turn right for an item.

• ITEM (T-01): Digital Circuit (x4)

When you are outside of the airship.

• ENEMY (E-03): Deckdrone (x2) (FIRST ENCOUNTER)
• ITEM (T-02): Millerite (x1)
• ENEMY (E-04): Deckdrone (x2), PSICOM Dragoon (x1) (FIRST ENCOUNTER)
• ENEMY (E-05): Deckdrone (x5)
• ENEMY (E-06): PSICOM Dragoon (x1)
• ITEM (T-03): Incentive Chip (x3)
• ENEMY (E-07): PSICOM Dragoon (x2)
• ENEMY (E-08): Deckdrone (x3)
• ENEMY (E-09): Deckdrone (x4), PSICOM Dragoon (x1)
• ITEM (T-04): Silicone Oil (x4)
• ENEMY (E-10): Deckdrone (x2)
• ENEMY (E-11): Deckdrone (x3), PSICOM Dragoon (x2)

Inside airship:

• ENEMY (E-12): PSICOM Raider (x2), PSICOM Infiltrator (x2)
• ENEMY (E-13): PSICOM Huntress (x1) (FIRST ENCOUNTER), PSICOM Infiltrator (x3)

The path forward leads to a front desk room which is a dead end. If you are a completionist, you should go fight the enemies for CPs and for the sake of completion.

• ENEMY (E-14): PSICOM Huntress (x1), PSICOM Infiltrator (x2)
• ENEMY (E-15): PSICOM Infiltrator (x2), PSICOM Raider (x1)

Save your game, backtrack to previous intersection and turn left. Note that enemies from previous battles are re-spawned so I won't list them here. After you take the left turn, you'll see a treasure.

• WEAPON (T-05): Lifesaber (x1)
• ENEMY (E-16): PSICOM Infiltrator (x1), PSICOM Huntress (x2)
• ENEMY (E-17): Viking (x1) (FIRST ENCOUNTER)
• ACCESSORY (T-06): Ember Ring (x1)
• ENEMY (E-18): PSICOM Raider (x2), PSICOM Huntress (x2)
• ENEMY (E-19): Viking (x1), PSICOM Raider (x2)

• ENEMY (E-19): PSICOM Raider (x1), PSICOM Infiltrator (x2)
• ENEMY (E-20): PSICOM Huntress (x2)
• ENEMY (E-21): PSICOM Raider (x2)
• ENEMY (E-22): PSICOM Infiltrator (x3)
• ENEMY (E-23): Viking (x1), PSICOM Huntress (x2)
• WEAPON (T-07): Pandoran Spear (x1)

• ENEMY (E-24): Flanborg (x1) (FIRST ENCOUNTER), Flanitor (x1)
• ENEMY (E-25): Flanborg (x1)

Turn right:

• ENEMY (E-26): Flanborg (x2)

Then turn right again, activate the door switch.

• ENEMY (E-27): Flanborg (x2), Flanitor (x1)
• ACCESSORY (T-08): Royal Armlet (x1)

You can skip the 3 Flans on the left corridor, so head straight to the yellow mark, then pick up an item before you activate the switch.

• ITEM (T-09): Murky Ooze (x12)

Move forward a little bit you will see a Save Point. You may also notice in the mini-map that the paths are in circle, so I suggest you walk through the outer ring in a counter-clockwise direction.

Outer circle:

• ENEMY (E-28): Vespid Soldier (x2) (FIRST ENCOUNTER)
• ENEMY (E-29): Thermadon (x1) (FIRST ENCOUNTER), PSICOM Raider (x2)
• ITEM (T-09): White Cape (x1)
• ENEMY (E-30): Viking (x3)
• ENEMY (E-31): Vespid Soldier (x2), Thermadon (x1)
• ENEMY (E-32): Vespid Soldier (x3), PSICOM Infiltrator (x2)
• ITEM (T-10): Pain Dampener (x1)
• ENEMY (E-33): Viking (x3)

Middle circle:

• ENEMY (E-34): PSICOM Huntress (x2)
• ENEMY (E-35): Thermadon (x1)
• ENEMY (E-36): PSICOM Infiltrator (x3)
• ENEMY (E-37): Viking (x3)

Inner circle:

• ITEM (T-11): Perfect Conductor (x1)
• ENEMY (E-38): Vespid Soldier (x2)
• ITEM (T-12): Rhodochrosite (x1)
• ENEMY (E-39): Viking (x1), PSICOM Huntress (x1)

That's all in this area, head to the yellow mark. 

Let's follow the same direction by going counterclockwise. 

• ENEMY (E-40): Flanitor (x2)
• ENEMY (E-41): Flanborg (x2), Flanitor (x1)
• ENEMY (E-42): Thermadon (x1)
• ENEMY (E-43): Flanborg (x2)
• ITEM (T-13): Segmented Carapace (x8)
• ENEMY (E-44): Flanborg (x2) (LAST ENCOUNTER), Flanitor (x1) (LAST ENCOUNTER)

Let's go to the center:

• ENEMY (E-45): Thermadon (x1), Vespid Soldier (x3)
  (I don't think you take down these guys alone, just summon Brynhildr to kill them)
   
• ITEM (T-14): Phoenix Down (x1)

That is all in the center area, follow the yellow mark.

• ENEMY (E-46): Vespid Soldier (x1), Thermadon (x1)