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Retrieve scaled basis vector

For each symmetry type

Accumulate in Qa, Qb, Qc, Qd

Qf = Qa + Qb + Qc + Qd

Hf = (Qa - Qb + Qc - Qd) R

Vf = R (Qa + Qb - Qc - Qd)

Df = R (Qa - Qb - Qc + Qd) R

Mirroring matrix

Symmetry Types

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