Eidolon hunting

Charge Lure

You can charge lure by turning Vomvalyst into specter. Once the specter is close, the lure will absorb it and gain one charge. Every Lure needs 3 charges. Eidolon Terralyst requires 2 Lures and Gauntulyst/Hydrolyst requires 3. If you don't use lures, you'll be killing the eidolons and won't get extra sentient cores, which you need to rank up the Quills standing.

Capture the Eidolon

Terralyst - easy

Gauntulyst - medium

Hydrolyst - hard

Phase 1

Deplete the Eidolons shield with your Amp. Using Volts shields will increase the damage of your Amp. Try to kill any Vomvalyst, as the Eidolons can recharge their shield when it's depleted.

Phase 2

The Eidolons are Invulnerable except for their synovia. The Synovias are on the Knees and arms. Gauntulyst and Hydrolyst have two additional Synovia on the back. If your weapons don't do enough damage, use Voidrig's 4th ability. Removing a Synovia will stun the Eidolon and it will emit a magnetic wave, that can deplet your energy and damage you. Do Phase 1 and 2 for Terralyst 4 times and Gauntulyst/Hydrolyst 6 times. Try to not let your lures get destroyed.

Phase 3

When you remove all the Synovias, the eidolon will go into a downed state and scream. Vomvalyst will come and recharge its shield. Kill the vomvalysts and try not to die from the energy wave. Once the Eidolon stands up, it will become vulnerable and you can beat it. Make sure that your lures are close to capture it.

Optional

If you want, ou can fight the eidolon Gauntulyst and Hydrolyst. You need a brilliant/radiant Eidolon shard. If you captured Terralyst, go to the middle of the Gara Toht Lake and there will be the Eidolon shrine. Interact with it to spawn Gauntulyst (if you want). The same goes for summoning Hydrolyst.