Let \( m \) and \( n \) be the numbers of real roots of the quadratic equations \( x^{2}-12x+[ x ] +31=0 \) and \( x^{2}-5|x+2|-4=0 \) respectively, where \( [ x] \) denotes the greatest integer \( \le x \). Then \( m^{2}+mn+n^{2} \) is equal to __________.
