A regular challenge that can arise during Nightwave in Warframe is farming Eximus. You will need to kill 100 Eximus enemies to complete the Eximus Executioner challenge. Eximus enemies can spawn in any mission, and it's the kind of challenge that should happen naturally as you play. There are some activities, however, that guarantee more spawns of Eximus, if you want to wrap up quickly.
You can recognize the Eximus enemies in the game by the red glow which highlights their character model! Be careful if you are a new player, as Eximus enemies can be very powerful. They also have a range of abilities that set them apart from standard enemies and can launch damaging shockwaves, drain your energy, or protect other enemy units with shields.
Warframe Eximus Enemies Guide
Assault on the shrine
One of the easiest ways to complete this challenge is to attack Sanctuary and Elite Sanctuary Onslaught. This mode will spawn a lot of Eximus enemies. Depending on your level, choose the challenge that suits you. It should be noted that Eximus spawns occur more often in the higher difficulty Shrine Elite Assault. You must have completed The New Strange quest to access this game mode. You can find it in your Codex if you haven't completed it yet.
Exits
One of the output modifiers is Eximus Stronghold. Exiting with this modifier will spawn a very high volume of Eximus enemies, and you can easily hit the 100 kills you need in a single mission. It's also a pretty common modifier, and you can expect to see it at least once a week if you want to wait. You will have access to exits as long as you complete The War Within quest.
Arbitration alerts
Arbitration Alerts spawn plenty of Eximus enemies, and their infinite nature means you can just stay in the mission, as long as you survive. To access the arbitrations, you must have completed at least once all the nodes of the star diagram, then visit the Hexis arbitrators in relay.
Endless missions
For people who are newer to the game, Endless Missions is where you want to go for this challenge. Anything that looks like a defense or survival mission will start spawning plenty of Eximus enemies as you move into subsequent rotations. It's a good idea to check the recruiting channel to find people who want to take on endless long assignments, that way people won't leave too early leaving you alone with a tough challenge.
And there you have it, Tenno, between all these options you should be able to find something to suit you for Eximus Farming!