Let $J_{n, m}=\int_0^{\frac{1}{2}} \frac{x^n}{x^m-1} d x, \forall n>m$ and $m \in N$. Consider a matrix $A=\left[a_{i j}\right]_{3 \times 3}$ where $a_{i j}=\left\{\begin{array}{cc}J_{6+i, 3}-J_{i+3,3}, & i \leq j \\ 0, & i>j\end{array}\right\}$. Then $\left|\operatorname{adj} \mathrm{A}^{-1}\right|$ is :