The best and only way perhaps to help you in collecting all the difficult Easter eggs on Call of Duty: Infinite Warfare in Zombies mode is by using the most potent elemental effects for your weapon. Although your weapon might be as powerful as you may think, you will most likely need this guide to help you add more supremacy to it and pull off the challenge. Here's a guide on how to unlock elemental effects for weapons.
Call Of Duty: Infinite Warfare Zombies Mode - Unlock Pack-A-Punch
First is to activate the Pack-A-Punch. There are three steps for you to undertake this: (1) activate the electric switch, (2) activate the portal, and (3) return to the starting point through the portal. The moment all these portals get activated, you can unlock the Pack-A-Punch room by coming into the portal at the starting point.
Call Of Duty: Infinite Warfare Zombies Mode - Purchase Arcane Core
Second is to purchase the Arcane Core. Once you have unlocked the Pack-A-Punch, you will need to purchase the Arcane Core. To find this, head over to any ticket booth you can find in Zombies in Spaceland. If you are at the starting point, the nearest booth can be found right at the entryway of the Polar Peak. Buy Arcane Core for 300 tickets. If you don't have these, you can complete the challenges in the arcade first to earn tickets or finish the challenges given by N31L.
Call Of Duty: Infinite Warfare Zombies Mode - Unlock Traps
Inside the Pack-A-Punch room, you can notice an extraordinary jar placed right on top of the table. Press hold the interact button to unlock it, and there should be a success bell to know that. Once done, this gives you the ability to proceed to the Elemental trap challenge.
Head over to every zone and look for the traps. Take note that you will need to find the traps that release an unidentified flying object (UFO) that drifts right over it. Unlocking these will kill zombies. Take note that it may take up to four activations to kill enough zombies for the object to stop hovering around the traps. Once the object goes away, kill zombies near the flying UFO. It will absorb the souls of killed zombies, represented by white shaft of light. Keep on killing zombies until the UFO drops a tiny radiant orb that comes with different elemental effects like lightning, wind, fire or poison. Choose wisely, grab it and your weapon is now more powerful than ever.