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#

X2L translation formula

Substituting the following formula into the right-hand side of (J.3):

and using the following identity (See (4.9)):

we rewrite the right-hand side of (J.3) as

where
is the coefficient of the local expansion
expressed in terms of
as follows:

The cost for X2L translation can be roughly estimated as follows:

where *C*_{0} and *C*_{1} are the computational cost related to
and
in
(J.4), respectively and *C*_{2} is the negligible cost.

*Ken-ichi Yoshida*

*2001-07-28*