Recall that triality takes three $2 \times 2$ magic factors, depending on three parameters $(a,b,c)$, to form a $3 \times 3$ circulant sum. One obtains circulants when $x^2 = -1$ and when $x^2 = 1$, so we can use magic forms for the $B_3$ circulants. For $x^2 = 1$ we obtain

8 years ago

In this form the CKM $1$-circulant, for example, has parameters: $b = 24$, $abc = -0.0194$, $a+c=-0.2275$.

ReplyDelete