Corner parallel-transpositions

The usual notation U, R, D, L, B, F is extended to slice and antislicemoves.
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.

UaL U'R U L'U'aL D R'D'L'14
R'F L'B²L F'RsF R'B²R F'L16,14
U'R'F L'F²RaUaF²D'L F'L'F²18,15
D'L'D R'D'L D'L²D'R'D L²D'R D'R18,16
D F²L'F²RaUaF²U'aF²R'F²D'20,15
D'L'DsR'UsL DsR U12
L'U'R'F R U L D R F'R'D'12
D'L'F'L F L D RsF'L'F Ls14
U'F D F'U F UsL D L'U'L D'L'F'16
L'F R F'L F LsD L'U L D'L'U'F'16
R'D'L D'L'D²F²R U'R U R²F²R18,14
U'F²D'B²D F²U F'U'F D'B²D F'U F20,16
L'F²L'B'L F'D F'U'F D'F'U L'B L²18,16
U²R²U'L'U R²U'L U²R U L'U'R'U L20,16
U'R'D F'L²F R F'L²F U R'D'R16,14
U'R'D'F²D R U²L'U'L²F²L'F²18,13
U F²R B'R'F R B R'D'F U'F'D F16,15
U F²R'D R D'F²U'R'F²R²F²R'18,13
R'F²R F R'F²D F'D'F'R D F²D'F'18,15
R U L'U'R'U B'L F L'B L F'U'14
D R²U'R'U²F²U'F²R'D'L'F²L18,13
D'L'U'F'R²F L F'R²F D L'U L16,14
U L F L'F'(L F L'F')²U'14
R'F²RaF²R'F²R F²R'aF²R F²20,14
U'R U'R'U²L'U L U'L F²L'F²16,13
[U'R U'R'U R';F²]16,14
(R'F L F'R F L')²F²16,15
U'R'D R U R'D'R²U'R'D R U R'D'16,15
R'F²R U'R U R²F²D'L D'L'D²R18,14
U'F²D'B²D F²UsF²U'B²U F²D20,14
D'B D²B L'U'L B'D²B L'U L B²D18,15
R'F²R F²R U'R D R²U R'D'R F²18,14
R U'R'F'R B U L U²L'U B'R'F U16,15
R F R'D'L F²L²F'L²F'L'F D F²18,14
D'L'U'L D L'U LsD'R U'R'D R U16
R'F'D'R'aF'R'D R D'F RaF D R16