For p = even integers, using Eqs. (4-196), we have


 Qa [e] ~ (sin 4)" (cos 4)2J X-(/2+j)p 2(n-q)- I2(n-q)+2s, (4-244)

 where q = 0,1, p + j is the index for a binomial expansion of (sin 8)p+2j
 as seen in Eq. (4-196) and s -3 for a = t,r and s = -2 for a = 0, It is

 guaranteed that 2(n q)+2 > 0 or n -q > -1 since 0 < q < p+j (p+ i),

 0 < i < k p and p < k < 2n + 2. Then, Eq. (4-244) can be subcategorized

 into the following three cases;

 (ii-1) n- q> 1
 By Eqs. (4-155), (4-157) and (4-170)



 Qa[e1] (sin 4)"P(cos4)2J -(p/2+j)A 3 -- 0, (4-245)



 where s = -5 for a t, r and s = -4 for a 0, .

 (ii-2) n q 0
 By Eqs. (4-155), (4-157) and (4-171)



 Qa [1] ~ (sin 4)" (cos 4)2J -(p/2+j)A2 2s-- 0, (4-246)



 where s -4 for a =t, r and s = -3 for a = 0, .

 (ii-3) n- q -1
 We have

 Qa [1] ~ (sin 4)" (cos 4)2j x-(p/2+j)&os, (4-247)

 where s = -3 for a t, r and s = -2 for a .

Therefore, through the analysis we find that the non-vanishing Qa[I1] results only

from the case of n-q = -1 in the form of Eq. (4-247). By 0 < q < +p+j (p+i),