History of Salem numbers less than 1.3

     integer polynomials.   comment-bound: 'The bound $1.3$ is traditional rather than only a size cutoff: Salem-    numbers below $1.3$ are called small in the literature CITE{SacEpee}. The plastic-    constant, the real root of $x^3-x-1$, is the smallest known limit point of the-    Salem numbers; a construction due to R. Salem gives infinitely many Salem numbers-    below it, and $1.3$ lies below that accumulation point CITE{SacEpee}.'+    numbers below $1.3$ are called small in the literature CITE{SacEpee}. HREF{Pisot_numbers_less_than_the_golden_ratio#1}[The+    plastic constant], the real root of $x^3-x-1$, is the smallest known limit point+    of the Salem numbers; a construction due to R. Salem gives infinitely many Salem+    numbers below it, and $1.3$ lies below that accumulation point CITE{SacEpee}.' Formulas:   formula-reciprocal: For coefficients $a_0,a_1,\ldots,a_{d/2}$, the minimal polynomial     is $a_0x^d+a_1x^{d-1}+\cdots+a_{d/2}x^{d/2}+\cdots+a_1x+a_0$. Similar tables:+- table: HREF{Pisot_numbers_less_than_the_golden_ratio}[Pisot numbers less than the+    golden ratio]+  relation: its first entry is the plastic constant, the smallest known limit point+    of the Salem numbers and the accumulation point that bounds the traditional small-Salem+    range - table: HREF{Growth_rates_of_hyperbolic_Coxeter_triangle_groups}[Growth rates of     hyperbolic Coxeter triangle groups]

     list CITE{Mossinghoff}. The list is proved complete for degree at most $44$ CITE{MRW}.     The one degree-$46$ entry lies outside that range, and a later random-sampling-    search rediscovered all 47 and found no others below $1.3$ CITE{SacEpee}+    search through Salem degree $64$ rediscovered all 47 and found no others below+    $1.3$ CITE{SacEpee}   rigour details: The generator rebuilds each reciprocal polynomial from the coefficient     parameter, checks that it is irreducible and has the Salem root pattern, isolates