On the beta expansion for Salem numbers of degree 6

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Supplement to

ON THE BETA EXPANSION

FOR SALEM NUMBERS OF DEGREE 6

DAVID W. BOYD

$This supplement contains the two tables described in §3. Table 1 contains a list of all quintuples $(a,b,c,m,p)$ where $P(x)=x^6+ax^5+bx^4+cx^3+bx^2+1+1$ is the minimal polynomial of a Salem number $\beta$ of degree 6 and $\operatorname{trace}(\beta)=-a\le 5$. The preperiod $m$ and the period $p$ of the beta expansion for $\beta$ are listed in Table 1 if they satisfy $m<10000$ and $p<10000$.\par Table 2 contains a list of $(a,b,c,m,p)$ for $\operatorname{trace}(\beta)\le10$ provided $\min(m,p)\ge10000$. This includes 18 values for which only a lower bound on $D=m+p$ is known.$

Table 1
Table 1 (page 2)
Table 1 (page 3)
Table 2