"Torsten Sillke's List of Solutions for -9,-8,..., 9 with magic constant 0" Where the negative reflections have been floated to the top. -Lou H. 1) (1) = -1*(5), reflected left to right -9 1 8 6 5 -4 -7 3 -8 -3 9 -1 2 4 0 -6 -5 -2 7 5) -8 -1 9 7 4 -5 -6 1 -9 3 8 -3 6 0 -4 -2 -7 2 5 6) (6) = -1*(7), reflected across the (upper right to lower left) axis -7 8 -1 3 1 2 -6 4 -9 6 -8 7 0 -3 5 -2 -4 9 -5 7) -7 6 1 2 8 -2 -8 5 -5 -6 -1 7 -9 3 9 -3 4 0 -4 10) (10) = -1*(24), reflected across the (upper left to lower right) axis -5 1 4 8 -2 3 -9 -3 -8 6 0 5 9 -7 2 -4 -6 7 -1 24) 5 -8 3 -1 2 8 -9 -4 -3 -6 7 6 9 0 -2 -7 -5 4 1 12) (12) = -1*(14), reflected {(left to right)->(top to bottom)} -5 -4 9 4 6 -3 -7 1 -9 2 8 -2 7 0 -6 -1 -8 5 3 14) -3 -5 8 1 6 0 -7 2 -8 -2 9 -1 7 3 -6 -4 -9 4 5 15) (15) = -1*(18), reflected {(left to right)->(top to bottom)} 2 -7 5 3 6 0 -9 -5 -8 1 8 4 9 -2 -6 -1 -4 7 -3 18) 3 -7 4 1 6 2 -9 -4 -8 -1 8 5 9 0 -6 -3 -5 7 -2 'Now, the zeros: 2) 2) = -1*(3), reflected across the (upper right to lower left) axis -8 9 -1 3 6 -2 -7 5 -9 0 -4 8 -6 2 7 -3 1 4 -5 3) -8 7 1 3 4 2 -9 5 -7 0 -6 8 -4 -2 9 -3 -1 6 -5 16) 16) = -1*(20), Reflected (Left to Right)->(top to bottom) 3 -7 4 1 6 2 -9 -4 -8 0 7 5 9 -1 -6 -2 -5 8 -3 20) 3 -8 5 2 6 1 -9 -5 -7 0 8 4 9 -2 -6 -1 -4 7 -3 4) -8 -1 9 2 5 -4 -3 6 -7 0 7 -6 3 4 -5 -2 -9 1 8 8) -7 -1 8 5 4 -3 -6 2 -9 0 9 -2 6 3 -4 -5 -8 1 7 9) -6 -1 7 8 -3 4 -9 -2 -5 0 5 2 9 -4 3 -8 -7 1 6 11) -5 -2 7 1 8 -6 -3 4 -9 0 9 -4 3 6 -8 -1 -7 2 5 13) -4 -5 9 1 7 -2 -6 3 -8 0 8 -3 6 2 -7 -1 -9 5 4 17) 3 -7 4 2 6 1 -9 -5 -8 0 8 5 9 -1 -6 -2 -4 7 -3 19) 3 -8 5 1 6 2 -9 -4 -7 0 7 4 9 -2 -6 -1 -5 8 -3 21) 4 -6 2 3 5 1 -9 -7 -8 0 8 7 9 -1 -5 -3 -2 6 -4 22) 5 -4 -1 3 6 -2 -7 -8 -9 0 9 8 7 2 -6 -3 1 4 -5 23) 5 -6 1 3 4 2 -9 -8 -7 0 7 8 9 -2 -4 -3 -1 6 -5 25) 6 -4 -2 3 5 -1 -7 -9 -8 0 8 9 7 1 -5 -3 2 4 -6 26) 6 -7 1 2 3 4 -9 -8 -5 0 5 8 9 -4 -3 -2 -1 7 -6