Sets of equiangular lines in dimension $18$ constructed from $A_9\oplus A_9\oplus A_1$

Yen-chi Roger Lin, Akihiro Munemasa, Tetsuji Taniguchi +1

In 2023, Greaves et~al.\ constructed several sets of 57 equiangular lines in dimension 18. Using the concept of switching root introduced by Cao et~al.\ in 2021, these sets of equi…