tters  <code>m:n</code>)  as  a  Coxeter  group.  The  Coxeter  generators  are  the <code>Perm(i,i+1)</code> for <code>i</code> in <code>m:n-1</code>.</p><pre><code class="language-julia-repl hljs">julia&gt; W=coxsym(3)
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julia&gt; gens(W)
2-element Vector{Perm{Int16}}:
 (1,2)
 (2,3)

julia&gt; e=elements(W)
6-element Vector{Perm{Int16}}:
 ()
 (1,2)
 (2,3)
 (1,3,2)
 (1,2,3)
 (1,3)

julia&gt; length.(Ref(W),e) # length in the genrators of the elements
6-element Vector{Int64}:
 0
 1
 1
 2
 2