Oriented Marked Rotor Memory

Constructs the oriented two-mark completion of marked rotor memory. The invariant νor=⟨NtfΩ, m1×m2⟩\nu_{\rm or}=\langle N^{\rm tf}\Omega,\ m_1\times m_2\rangleνor=⟨NtfΩ, m1×m2⟩ recovers the discrete rotor-orientation sector left unresolved by the positive toric amplitude map, with the biaxial form νor=23(b−a)ωdet⁡(m1,m2,e3).\nu_{\rm or}=\frac23(b-a)\omega\det(m_1,m_2,e_3).νor=32(b−a)ωdet(m1,m2,e3).