Edge parallel-transpositions

The usual notation U, R, D, L, B, F is extended to slice and antislice moves.
Us,Rs,Ds,Ls,Bs,Fs are slice moves UD',RL',DU',LR',BF',FB'.
Ua,Ra,Da,La,Ba,Fa are antislice moves UD,RL,DU,LR,BF,FB.
Sr, Sl, Sf, Sb, Su, Sd are the center slice moves adjoining faces R,L,F,B, U,D.
[P*Q] means the same as P Q P'
[P;Q] means the same as P Q P'Q'
Lowercase letters u,r,d,l,b,f represent twists of the whole Cube, so that u = UsSu, r = RsSr and so on. For example dFR'U = LF'Ud = LF'U.
Character ^ represents mirroring (usually R<->L).

The numbers in the second column denote the number of quarter moves and face moves.

R'F'R'D R D'F R D'F'L'F L D 14
R'D'F L'F'L D R D'F'L'F L D 14
D'F'D R²F U F'U'R²F'D'F²D 16,13
R²F'R F R U²R'B'R B U²F'R 16,13
S²F U²S²U²S²F'S² 22,12
S²F S F²S²F²S F'S² 22,14
S F S²F S²F S F²S²F' 22,14
R'F'D'F D R²F U F'U'R' 12,11
R²F U'R'D B R'B'R U R'D'R' 14,13
S F'S'F S F²S'F'S F'S'F S F²S'F 24,22
R'F'D R'D'R F R D F R F'R'D' 14
R'D'L'F L F'D R D F R F'R'D' 14
R'D'L'F L D F²R U L F'L'U'F² 16,14
R'D'L'F²L D F R F²R'D'F'D R 16,14
R'D²L D L'D R D F²D'F'D F'D' 16,14
L'F L²R'D L'D²L D'R L²F'L F² 18,14
L'D²U'R F D'R²D F'R'U D²L F² 18,14
[S'F S F S';F²] 20,18
U R U LsF'L'F'RsU LsU' 14
R F U'R U R D R D L D L'F D 14
R F'R'D'F²D F²R F²R'D'F'D 16,13
U²S'F S F S'F'S F'U² 16,14
S'F S F'S'F S F S'F²S 18,17
F S F S'F S F'S'F S F S' 18
U'aL FsLsF RsU²BsUa 16,15
R'aU'R²F²R²F²R²F²U Ra 18,12
(U R'S²fR U'F²)² 20,14
S F'S'F²S F'S²F S F²S'F S 24,20