What is the most frequent absolute value of determinant of 2x2 matrices with integer [-9,9] elements

My solution in PHP

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<?php
$min = -9;
$max = 9;
$det = array();
for($a=$min;$a<=$max;$a++){
    for($b=$min;$b<=$max;$b++){
        for($c=$min;$c<=$max;$c++){
            for($d=$min;$d<=$max;$d++){
                $det[] = abs(($a*$d) - ($b*$c));
            }
        }
    }
}
$v = array_count_values($det);
arsort($v);
$v = array_keys($v);
echo $v[0]; //12
?>

My solution in Python:

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from itertools import product

D = dict()
for i in range(0, 163):
    D[i] = 0

for a,b,c,d in product( range(-9, 10), repeat = 4 ):
    D[ abs(a*d - b*c) ] += 1

print( max(D, key = lambda k: D[k]) ) 

Computer solution (the language is Wolfram Mathematica 12): $\text{First}\left[\text{SortBy}\left[\text{Tally}\left[\text{Flatten}\left[\text{Table}\left[\text{Abs}\left[\text{Det}\left[\left( \begin{array}{cc} a & b \\ c & d \\ \end{array} \right)\right] \right] ,\{a,-9,9\},\{b,-9,9\},\{c,-9,9\},\{d,-9,9\}\right]\right]\right],-\#[[2]]\&\right]\right] \Rightarrow \{12,3568\}$