Cyclic Decomposable Moves for 3x3x3
-----------------------------------

C_X = central reflection

CD1  8 flip (Op sides)  (R1 L1 T1 D1 F1 B1) ^2                           (12f)
(element of the anti-slice group)
CD2  Pons Asinorum      (L3 R1 U3 D1)^3                                  (12f)
(element of the slice group)
CD3  4 Cross order 2    (F2 B2 T1 D1 L2 R2) ^2                      (12f, 20q)
CD4  4 Diagonal         (F1 B1 R1 L1) ^3                                 (12f)
CD5  6 flip             (D1 R3 F1)^30                                    (90f)
CD6  12 flip            (T1 B3 T1 L1 F3 R3)^6                            (36f)
CD6a 12 Flip            (R3 U2 B1 L3 F1 U3 B1 D1 F1 U1 D3  C_X) ^2  (22f, 24q)
CD7  4 flip in L face   (F1 B1 L1 T1 D1)^6                               (30f)
CD8  2 flip (fd, rd)    (F1 B2 D1 L1)^18                            (72f, 90q)
CD9  4 Stripe type 1    (B2 L2 F2) ^2                                (6f, 12q)
CD10 8 Crn Twist 3      (L1 R2 F2 B3) ^4                            (16f, 24q)
CD11 8 Crn Twist 4      (U2 R2 L3 D1) ^4                            (16f, 24q)
CD12 4 H order 2        (F2 B2 R2 L2 T2) ^2                         (10f, 20q)
CD13 Mark's Pattern 61  (D1 F1 D1 C_X)^12                                (36f)