Edge flips

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 U'B L F R U R'U F'L'B'R'U' 14
R'D'L'U'F'U F'L D R U F U'F 14
U F U²B'R'F'R FaU²F²U'F 16,13
U'F'aR²F²R F'R'F'R²B U F 16,13
U'aF²U²F U'F'U'F²D R U R' 16,13
L²U²L U'L'U'L²D F U F'U'a 16,13
UsF U'RsB U'FsR'F'LsD R 16,16
S²F S F²S'F S'F S'F²S F S' 24,20
U'F R'U F'LsD F'R D'F Rs 14
RsU'F R'U F'LsD F'R D'F 14
U'F'U F'L D R U F U'F R'D'L' 14
U'B'R'F'R FaU²F²U'F U F U' 16,14
RsU L DsF D'LsB D'FsL'F' 16
[S B S'B S;F²] 20,18
S F S F S F²S'F S'F S'F² 20,18
R F U F'L F²L'U'F'R'F D'F²D 16,14*
D L U(R Sf)²(R Sf)²U'L'D' 18
U²LsF²R²sU'R²sF²RsU²F 22,14
U²LsF²R²sU'F²RsU²R²sF 22,14
R²U²R²F²RsU LsF²R²U²R²F 22,14
[S'F²S F²S';F] 22,18

* -these algorithms have been added from 'Goodbook' supplied by Razoux Schulz