Size-181 idempotent non-right-cancellative magma satisfying Eq 677 and Eq 255. Tao Type II piecewise-linear construction on F_181 (181 prime): x ◇ y = x + f(y − x) in F_181, where f(0) = 0, f(d) = 139·d when d is a quadratic residue mod 181, and f(d) = 176·d when d is a non-residue. So the multiplier on the difference y − x depends only on its QR/NQR class.
The display reorder presents elements as the orbit 0, τ(0), τ²(0), … of an order-181 magma automorphism τ (the hidden additive translation by 1 in F_181), making the magma fully translation-invariant in the rendered table: every row is a horizontal shift of row 0.
[text written by Claude]
dwrensha · 2026-05-14 20:01:21