2 problems

Takemura’s conjecture. Their coefficients satisfy $a_i=b_i$ when $i\equiv 0,1\pmod 4$, and $a_i=-b_i$ when $i\equiv 2,3\pmod 4$. The paper records this as a conjecture without stat…

Let $THK(m,n)$ denote the Turk's Head link obtained by alternating a braid representation of the $(m,n)$ torus link. Here $m,n>1$, and $THK(m,n)$ is a knot when $m$ and $n$ are rel…