Pll is the last step of the Fridrich method right after Oll. We need to memorize 21 algorithms to permute the last layer correctly. Usually we will do a U,U',U2 to check the Pll patterns before we decide to apply which algorithms.
And the following one is the diagrams and algorithms.
(R U' R)(U R U R)(U' R' U' R2)
(R2' U)(R U R' U')(R' U')(R' U R')
M2 U M2 U2 M2 U M2
(R'U'R) (U'R)(U R U'R')(U R U)(R2 U')(R'U2)
x' R2 D2(R' U' R)D2(R' U R')
(l U' R)D2(R' U R)D2 R2
x'(R U' R')D(R U R')u2'(R' U R)D(R' U' R)
(R U R' U')(R' F)(R2 U' R' U')(R U R' F')
(R'U'F')(RUR'U')(R'FR2U')R'U'(RUR'UR)
(R' U R' d')(R' F')(R2 U' R' U)(R' F R F)
F(R U'R' U')(R U R' F')(R U R' U')(R' F R F')
z(U'R D')(R2 U R' U' R2 U)z'(R U')
(R U R'F')(R U R'U')(R'F R2 U'R'U')
(R' U2)(R U'U')(R' F R U R' U')(R'F' R2 U')
(R U'U')(R' U2)(R B' R' U')(R U R B R2' U)
(R2' u' R U' R)(U R' u)(R2 f R' f')
(R U R')y'(R2' u' R U')(R' U R' u R2)
R2 u R' U R' U' R u' R2 y'(R' U R)
(R' U' R) y R2 u R' U R U' R u' R2
(R U R')y'(R2' u' R U')(R' U R' u R2)
(L' U R') z R2 U R' (DU') R D' R'2 U R' z' (R U')
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