For example, the juggling pattern 441 has n = 3 and b = 4 + 4 + 1 3 = 3 . Therefore, it corresponds to the affine permutation w 441 = [ 1 + 4 − − 3 , 2 + 4 − − 3 , 3 + 1 − − 3 ] = [ 2 , 3 , 1 ] . The juggling pattern has four crossings, and the affine permutation has length ℓ ℓ ( w 441 ) = ( 3 − − 1 ) ⋅ ⋅ 3 − − 4 = 2 .