Consider the following recurrence relation: F$($n$)=8*$F$($n$-1)-9*$F$($n$-2)-10*$F$($n$-3)+6*$F$($n$-4)-4*$F$($n$-5)-6*$F$($n$-6)-5*$F$($n$-7)-1*$F$($n$-8)-6*$F$($n$-9)-4*$F$($n$-10).$ The final characteristic polynomial equation set to zero $($right before computing the roots$)$ has what number in front of the term that is raised to the fifth power? The answer MUST supply digits only and if negative, then start with the minus sign