If you don't need this guide, please bump so that those who do need it will see this. I was able to get the graviton catalyst done in about 2 days. I do work during the day like most of you, so this should work for you If you are efficient. [b]Daily Milestones[/b] The daily milestones to loot a lost sector give you about 40 tokens on one character each day. That's only if you do it on 5 renown. That's 120 tokens and will take about 45 minutes if you take your time. The account-wide milestone to loot one at 5 renown will give you an extra 10. So there's 130 in one day in 45 minutes. Edit: To clarify, These numbers include the tokens it takes to get to 5 renown or 3 renown. [b]Speed-Running Lost Sectors[/b] Crimson is your best friend. Most of the lost sector enemies are really easy to kill, so getting headshots with Crimson is a piece of cake. If you don't have Crimson, Wormhusk, Healing Rifts, or Sentinel Titan's Melee ability will regen your health. [b]Crucible[/b] Winning a match gives you 5 tokens, in one hour you can finish 4-5 matches so that's 20-25 tokens. [b]Nightfall[/b] This is a great one. One NF gives you 14-16 tokens, and it takes about 15 minutes to do one. So that's ~60 tokens an hour. And you can grind for that sniper as well. [b]Raid[/b] Not worth it unless you can finish it in 20 minutes. I only got 3-5 tokens per encounter. Might be a glitch on my part, but I'm not sure. [b]EDIT[/b] A lot of people are also pointing out that you can farm public events if you want, and it'll go a lot faster, earning a minimum of 60 tokens an hour. So I did the milestones, and then I did Lost Sectors, followed by nightfalls. You can grind this however you want, but this is how I got it done. [b]Graviton Lance Catalyst[/b] You need 500 kills with the little tracking projectiles to complete the catalyst. You also need to just get kills, but you'll get that one while working on the projectiles. To finish the graviton catalyst, go to Mars or some place with lots of thrall or psions. On Mars, activate EP level one in futurescape on the plate to the right of where you spawn in, under the bridge. Shoot one thrall on the outside into the middle where it can explode and damage the rest of the thrall, which will damage the rest and get you about 10 cosmology kills. You will have about 15 seconds to do this before other Randoms come up and start taking all the kills. So once the shadow rift spawns, go into the lost sector. Damage all the acolytes, and kill one to chain all of them at once. For the thrall in the last two rooms, let them group up, and simply kill one. Rinse and repeat. [b]EDIT[/b] Someone Also pointed out that the Mars mission heptasus.... Heptaseaus, lol, it has huge wave of thrall at the end that you can wipe and redo over and over again. If you don't have Warmind, find a lost sector on Io with lots of taken or regular psions, and get them to group up, then take them out. Edit 2: A LOT of people are pointing out that grinding out public events, then doing a lost sector works. Or just grinding out constant PE. This should get you around 100 tokens an hour Hope this helps! Sorry for the wall of text!