Cleaning a Lava Lamp: How to remove Debris from Mathmos Astro

I have two Mathmos Astro Original Lava Lamps, and both of them contained strange black debris when they arrived. Mathmos said this was "normal", but I wasn't happy with the look, so I decided to try and get it out. Since I could barely find anything online, I made a video of the process that hopefully will help fellow lava lamp owners encountering the same problem.

UPDATE: After posting this video on the oozinggoo forum, user ImMelting linked me his process which for some reason I haven't been able to find there before. His method is very similar, major differences are that he uses a pantyhose as a filter, and that he uses a hose to prevent the liquid from splashing when pouring it back in the bottle.
His comment with the process: http://oozinggoo.ning.com/forum/topic...
My thread on this video: http://oozinggoo.ning.com/forum/topic...

Background music:    • Lofi Chilled Guitar - 1 Hour of DMCA ...   - Thanks to @TheRelaxedMovement

0:00 - Intro
0:47 - Pouring out liquid
1:47 - Melting wax
3:12 - Cleaning wax (first try)
4:01 - Cleaning wax (second try)
4:50 - Reassembly
6:17 - Examining debris
6:40 - Final test