Short version if I really bombed or it's been seen before:
((1, 0, 3, -1, 1) dot DE) % 6 +
((0, 3, 1, 1, 1) dot DE) % 6

Long version:
I wanted to find 2 hashing algorithms that take an input and generate a metal, and hope that the 2 hashing algorithms are independent enough to make all pairs unique.
The simplest hash I could think of is to conditional spin Ravari's Wheel for each input element if it's fire, and the output is based on the total spin.  This is essentially doing a dot product mod 6.
So I did a small computer search to find how much to spin the wheel at each index and found many that worked.  This one is {(1, 0, 3, -1, 1)⋅DE, (0, 3, 1, 1, 1)⋅DE}.  So I don't really know what encoding really looks like or represents.

Prediction to read only if my hubris was warranted:
I think this could be a winning encoding if you make a Ravari's Stick and build an ELU Emoji Gun style solution to manipulate it.  I took a crack at it but I have skill issues.