The map π sends the Coxeter generator s 0 = [ 0 , 2 , 3 , 4 , … … , n − − 2 , n − − 1 , n + 1 ] to the permutation whose one-line notation and cycle notation are [ n , 2 , 3 , 4 , … … , n − − 2 , n − − 1 , 1 ] and ( 1 n ) , respectively.