A traveling operation detecting portion detects traveling operation and non-traveling operation selectively. The present invention provides methods for producing the modified pullulanase, enzymatic compositions comprising the modified pullulanase, and methods for the saccharification of starch comprising the use of the enzymatic compositions. The angle of a slow axis of the retardation layer is not less than 20\xb0 and not more than 25\xb0 or not less than 60\xb0 and not more than 75\xb0 with respect to the polarization axis of the first polarizer. Media access control protocols and interfaces of multiple nominal operational frequencies are utilized.