$ perl -v This is perl 5, version 14, subversion 2 (v5.14.2) built for darwin-thread-multi-2level $ uname -a Darwin ganymede 11.4.2 Darwin Kernel Version 11.4.2: Thu Aug 23 16:25:48 PDT 2012; root:xnu-1699.32.7~1/RELEASE_X86_64 x86_64 #### foreach my $x (3 .. $rep ) { foreach my $y (2 .. $x-1 ) { foreach my $z (1 .. $y-1 ) { # expanded form of x*(x - a)*(x - b)*(x - c) # coeffs are in an array $haystack{"$x, $y, $z"} = [ poly_roots( poly_derivative( 1, -$x - $y - $z, $x*$y + $x*$z + $y*$z, -$x*$y*$z, 0 ) ) ]; } } }