source 2001 Joye--Quisquater "Hessian elliptic curves and side-channel attacks", applying the addition formulas to permuted input coordinates
compute T1 = Z1
compute T2 = X1
compute T3 = Y1
compute T4 = Y1
compute T5 = Z1
compute T6 = X1
compute T7 = T1 T6
compute T1 = T1 T5
compute T5 = T3 T5
compute T3 = T3 T4
compute T4 = T2 T4
compute T2 = T2 T6
compute T6 = T2 T7
compute T2 = T2 T4
compute T4 = T3 T4
compute T3 = T3 T5
compute T5 = T1 T5
compute T1 = T1 T7
compute T1 = T1-T4
compute T2 = T2-T5
compute T3 = T3-T6
compute X3 = T2
compute Y3 = T1
compute Z3 = T3