SetDirectory["C:\\drorbn\\AcademicPensieve\\2014-07"];
<< "TheMetaConjugator-Program.m"

γ0=Xm[11,1]Xm[5,12]Xp[2,13]Xp[14,6]Xp[7,15]Xm[8,4]Xm[16,9]Xp[3,10] // Γ //dm[1,5,1]//dm[2,6,2]//dm[2,7,2]//dm[2,8,2]//dm[2,9,2]//dm[2,10,2]//dm[3,11,3]//dm[3,12,3]//dm[3,13,3]//dm[3,14,3]//dm[3,15,3]//dm[4,16,4] // dS[2] // dS[4];
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[1,2,3,4,-4,-3,-2,-1]], γ0[A]==γ1[A]} // ColumnForm

γ0=ϵ[1]ϵ[2] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[1,2,-2,-1]], γ0[A]==γ1[A]}

γ0=Xp[1,2]**Xp[2,1] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[1,2,-2,-1]], γ0[A]==γ1[A]}

γ0=Xm[2,1]**Xp[2,1] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[1,2,-2,-1]], γ0[A]==γ1[A]}

γ0=Xm[2,1]**Xm[1,2] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[1,2,-2,-1]], γ0[A]==γ1[A]}

γ0=Xp[1,2] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[1,2,-1,-2]], γ0[A]==γ1[A]}

γ0=Xm[2,1] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[1,2,-1,-2]], γ0[A]==γ1[A]}

γ0=Xp[2,1] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[1,2,-1,-2]], γ0[A]==γ1[A]}

γ0=Xp[1,2] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[2,-1,-2,1]], γ0[A]==γ1[A]}

Ω[2,-1,-2,1] /. {α->1, β->0}

γ0=Xp[1,2] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[-1,-2,1,2]], γ0[A]==γ1[A]}

γ0=Xp[1,2] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[-2,1,2,-1]], γ0[A]==γ1[A]}

γ0=ϵ[1]ϵ[2] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[1,-1,2,-2]], γ0[A]==γ1[A]}

γ0=ϵ[1]ϵ[2] // Γ;
{γ0, Mirror[γ0], γ1=Conj[Mirror[γ0], Ω[-1,2,-2,1]], γ0[A]==γ1[A]}

{Ω[1,2,-2,-1], Ω[1,2,-1,-2]}

{Ω[1,2,-2,-1], Ω[2,-2,-1,1]}

SolveAlways[-(((-α+β (Subscript[T, 1])) (-1+(Subscript[T, 2])))/((α-β) (-α+β (Subscript[T, 1]) (Subscript[T, 2]))))==-(((α-β (Subscript[T, 1])) (1-(Subscript[T, 1])+(Subscript[T, 1]^2)) (-1+(Subscript[T, 2])))/((α-β) (α-β (Subscript[T, 1])+β (Subscript[T, 1]^2)-α (Subscript[T, 1]) (Subscript[T, 2])+α (Subscript[T, 1]^2) (Subscript[T, 2])-β (Subscript[T, 1]^3) (Subscript[T, 2])))), {(Subscript[T, 1]),(Subscript[T, 2])}]

Eigenvalues[Ω[1,2,-2,-1][A]]