Germinating Oriental Lily & Gladiola seeds

I'm attempting to germinate some Oriental Lily and Gladiola seeds using the paper towel method. I started them last weekend, but am now wondering if I was supposed to take the seed out of the thin papery covering? I'm new to seed germination & have only worked with hibiscus, pansy & snapdragon seeds so far - all of which don't have this papery covering. But both the lily & gladiola seed do. Am I supposed to take this off, or is this actually part of the seed?

here's a pic of the lily seed...

and here's a pic of the gladiola seeds...

Regarding germinating oriental lily seeds (from Wikepedia)

Hypogeal lilies require two or more stages with variations of temperature particular to each stage. For hypogeal lilies, the first stage of germination takes place entirely underground where the bulb is created. Hypogeals require a warm period of 3 months at 70°F followed by a 3 month period at 40°F. A juvenile leaf appears in the second stage. The tiny bulbs are then planted in a warm area, usually outdoors

Thanks Seandor. I found similar information when I did more research too (after not getting a response on here yet). Sounds like these most likely won't germinate for me. Some of the gladiola seeds germinated in the paper towel a few days after my original post, so I guess they were fine with the papery seed covering.