In the particular case that J = { s 1 , … … , s n − − 1 } , so that ( S ~ ~ n ) J ≅ ≅ S n is the standard copy of S n inside S ~ ~ n , the elements of ( S ~ ~ n ) J ≅ ≅ S ~ ~ n / S n may naturally be represented by abacus diagrams : the integers are arranged in an infinite strip of width n, increasing sequentially along rows and then from top to bottom; integers are circled if they lie directly above one of the window entries of the minimal coset representative. For example, the minimal coset representative u = [ − − 5 , 0 , 6 , 9 ] is represented by the abacus diagram at right. To compute the length of the representative from the abacus diagram, one adds up the number of uncircled numbers that are smaller than the last circled entry in each column. (In the example shown, this gives 5 + 3 + 0 + 1 = 9 .)