6. If a real-coefficient quartic polynomial with the leading coefficient of 1 has four imaginary roots, and the product of two of them is $32+\mathrm{i}$, while the sum of the other two is $7+\mathrm{i}$, then the coefficient of the quadratic term is $\qquad$

Translate the above text into English, please retain the original text's line breaks and format, and output the translation result directly.
6. 114 .

Let the polynomial be $x^{4}+a x^{3}+b x^{2}+c x+d$, with two pairs of imaginary roots being $\alpha$ and $\bar{\alpha}, \beta$ and $\bar{\beta}$.
Assume $\alpha \beta=32+\mathrm{i}$. Then $\bar{\alpha}+\bar{\beta}=7+\mathrm{i}$.
Thus, $\bar{\alpha} \cdot \bar{\beta}=32-\mathrm{i}, \alpha+\beta=7-\mathrm{i}$.
Therefore, $b=(\alpha+\beta)(\bar{\alpha}+\bar{\beta})+\alpha \beta+\bar{\alpha} \cdot \bar{\beta}=114$.