shortest wing 3 cycle (20)
r U r' U' r U2 r U r' U r U r2 U r2 U r' U2 r' U

parity+OLL cases (25)
r' U r' U' r U r2 U2 r2 U2 r' U2 r U2 r' U2 r U' r2 U' r2 U' r U2 r
r U2 r' U2 r U2 r2 U' r' U' r U' r' U2 r' U2 r2 U2 r' U' r' U r U r

UL edge flip (26)
r' U2 r U' r' U r U' r U2 r U2 r' U2 r U2 r2 U' r2 U r U' r U' r' U2

Sune (28)
r U2 r U2 r' U' r' U r U2 r' U' r' U' r U r U2 r' U' r' U r' U2 r' U2 r' U'

W perm (28)
U' r2 U2 r' U r2 U' r2 U r' U r U r' U' r' U r U r' U r2 U' r2 U r U2 r2

3 edge flip (UF, UL, UR) (31)
r U r2 U2 r2 U r' U r2 U r2 U2 r U' r' U' r U' r U' r U' r' U2 r' U2 r U2 r2 U2 r'

2 corner twist (UFL, ULB) (32)
U' r U r U r' U' r' U r' U' r U' r' U2 r U r U r U' r' U' r' U' r' U2 r U r' U r

double parity (33)
r2 U2 r' U2 r2 U2 r' U2 r' U r' U r U' r U2 r U2 r' U2 r U2 r2 U' r2 U r U' r U r' U2 r

(R U R' U')3 (35):
r2 U2 r2 U r2 U r U r' U' r' U r U r U' r2 U' r' U' r U r2 U r' U' r' U' r U r U' r' U r2

4 corner twist (Pi) (36):
U r U r U' r2 U r2 U r' U r' U r2 U2 r' U r U' r' U' r' U r2 U' r2 U' r U' r U' r2 U2 r U' r'

3 edge flip (S slice edges) (37)
r U2 r U' r' U2 r2 U2 r' U2 r' U2 r' U' r U' r U' r U' r' U' r U2 r2 U r2 U r' U' r2 U r U r' U2 r'

2R slice wing 4 cycle (38)
U2 r U r' U2 r U r' U2 r' U2 r' U' r U r' U2 r2 U r' U' r2 U r U2 r' U' r2 U2 r' U r U' r U r2 U2 r'

R2 (38)
r U' r2 U' r U r2 U r2 U' r2 U' r U r2 U r' U r2 U r U r2 U r U2 r2 U2 r2 U2 r U' r2 U' r' U' r2 U'

4 edge flip (U edges) (38)
r U r2 U r2 U2 r2 U' r U r U2 r' U' r U' r' U r' U2 r U2 r2 U' r2 U' r' U' r' U2 r U r' U2 r U2 r U'

6 edge flip (excluding UR) - at least 39

5 edge flip (U edges and FR) (41)
r U r U' r2 U2 r' U' r U r U r U r' U2 r' U2 r U2 r U' r' U' r2 U r' U r' U r2 U2 r' U2 r U2 r' U2 r2 U2 r

5 edge flip (U edges and DR) (41)
r U r2 U r' U' r U' r' U' r U' r U r' U r' U' r U2 r2 U2 r U r' U2 r U' r2 U r2 U2 r U2 r' U' r2 U' r2 U r'

R (43)
U' r' U2 r' U' r' U2 r U2 r' U' r U' r' U' r U2 r U r2 U2 r U2 r' U' r U' r U' r U2 r U2 r2 U2 r' U2 r2 U r U2 r U'
U' r2 U2 r2 U' r U r' U r U2 r U2 r U' r' U' r' U r U2 r U2 r' U' r U r U' r2 U' r' U r' U2 r U r U2 r' U' r U

pattern - at least 44

6 edge flip (excluding DR) - at least 45

7 edge flip - at least 45