The space of phylogenetic mixtures for equivariant models

Table 2 Equalities among orbits used in the proof of Theorem 22

	{X}_GMM	{X}_SSM	{X}_K81	{X}_K80	{X}_JC69
$B_{0}$	{X}	$\dots \cup {(A T) (C G) X}$	$\dots \cup {(A C) (G T) X}_{SSM}$	$\dots$
$B_{A G ∣ C T}$	”	”	”		$\cup {(A C) X}_{K80}$
$B_{A C ∣ G T}$	”	”	”	$\dots \cup {(A G) X}_{K81}$	$\dots \cup {(A T) X}_{K80}$
$B_{A T ∣ C G}$	”	”	”	$\dots \cup {(A G) X}_{K81}$	$\dots \cup {(A C) X}_{K80}$
$B \ B_{2}$	”	”	”	$\dots \cup {(A G) X}_{K81}$	$\dots \cup {(A C) X}_{K80} \cup {(A T) X}_{K80}$

For each word X in $B$ , the orbit in the model that indexes the column is described. The dots mean the set on the left and ” means the set on the top.

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