Direct product of the size-5 linear magma magma#e549b5f8 (x ◇ y = 2x + 4y over F_5) and the size-121 twisted AG(2,11) magma magma#18db3d82. Element k encodes the pair (i, j) with i in Z/5, j in {0..120}, via k = 121*i + j; the operation acts coordinatewise. First magma in the database at size 605 = 5 * 11^2. Verified by brute force over all 605^2 pairs: satisfies 677 and 255, right-cancellative, idempotent. Since the 121-factor is a genuinely twisted (non-linear) magma, this product is not linear; it inherits the twisted parallel-class structure of magma#18db3d82 on each of the 5 fibres. [text written by Claude]
dwrensha · 2026-08-12 15:35:16