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We are members of the Astrophysics Source Code Library's Advisory Committee and its editor-in-chief. The Astrophysics Source Code Library (ASCL, ascl.net) is a successful initiative that advocates for open research software and provides an infrastructure for registering, discovering, sharing, and citing this software. Started in 1999, the ASCL has been expanding in recent years, with an average of over 200 codes added each year, and now houses over 1,600 code entries.

We construct a pair of non-commutative rank 8 association schemes from a rank 3 non-symmetric association scheme. For the pair, two association schemes have the same character table but different Frobenius-Schur indicators. This situation is similar to the pair of the dihedral group and the quaternion group of order 8. We also determine the structures of adjacency algebras of them over the rational number field.

Liu and Piccirillo developed a combinatorial argument that employs the 10/8-theorem to demonstrate that certain manifolds cannot be obtained via Dehn surgery on a knot. We extend their approach by creating additional examples using chainmail links.