Because I'm such a loser, I somewhat deciphered what was written on the cards in the anime. It's slightly different from what's in the novels, and the anime has things in a latiny sounding language, so it could be total bull.
Ep 2 Gift Cards:
You (Pearl Emerald): Genome Arbor - Non Priorum
Izayoi (Cobalt Blue): Code Unknown
Asuka (Wine Red): Oraculum
A note for those curious about the difference, the novel uses Katakana for the names posted before, so there's a discrepency, if you ask me. This is most notable for You's Gift Name, which in katakana is ゲノム ツリー (Genomu Tsuri) ノーフォーム (No-Fo-mu). Asuka's has no katakana, so that interpretation was entirely based on the kanji (威光).
The names were a little different, too, in Episode 3, listed on the Geas Roll. They were listed as Kasukabe Yao and Asuka Kuon. Wonder why.
Spoiler for Third Cosmic Velocity!:
I forgot to add this, since I posted when I was sleepy, but it's something interesting about Izayoi. In the novel, they refer to the "Third Cosmic Velocity" quite frequently. That is, the Escape Velocity from Earth (Don't quote me on this, since it's been a while, but I think it's something in the range of 7 miles/second (10 km/s). It's the rate at which Izayoi (I believe) throws rocks at the start of LN 1 (episode 1, when he throws rocks toward the river). It also happens to be the reference point for the speed at which he hits people in the Gift Game against Perseus. Though that itself is obviously an unbelievable ability, it's somewhat hinted (and I'm not sure if anyone can actually confirm it for me) that it's not his top strength or speed. The strength is an iffy thing, since, like I explained in an earlier post, he supposedly has the strength to destroy a mountain with his fists, so I can't really tell if that requires more force than throwing something that fast. I would assume so, depending on the mass of the object, but whatever. The speed, though, I believe is true, since Izayoi hits Perseus who goes flying at nearly that rate, and Izayoi jumps up and hits Ruios back to the ground.
Just so you know, the anime is in no way representative of that speed, and probably destructive power.