Statement 3 (The Mirror Effect of the CTC)

The mirror effect in the CTC exists between pairs of all rows such that

(i)

$l\left(47-i,j\right)+l\left(i,j\right)=\{\begin{array}{l}{q}_j+1,\text{if}i\ne j\text{and}i+j\ne 47\\ 2q_j+1,\text{if}i=j\text{or}i+j=47\end{array}$ ,

for $i=1,2,\cdots ,23$ , $j=1,\cdots ,48$

(ii)

$l\left(47,j\right)+l\left(48,j\right)=\{\begin{array}{l}{q}_j,\text{if}j=1,\cdots ,46\\ 2q_j,\text{if}j=47,48\end{array}$ Math_121#