Some solutions for n=8:
.-3...-2...-3...-3...-3...-3...-3...-3...-3...-2...-3...-3...-3...-3...-3...-3
.-2...-2...-1...-1....0...-3....1....0...-1...-1...-2....0...-1...-1...-2...-3
..0....0...-3....1...-1...-1...-1...-2....2...-2....0....3....2....0....1...-1
..3....3....1....1....3...-1...-2....2....3...-1....1...-2....0...-3...-1....3
..3...-2....2....1....2....3....1....3....1....3....3....2....2....2...-2....3
.-2....1....0....0....0....1....1....1....0....0....2....2....1...-1....3...-3
..1....0....2....0...-3....2....2...-2...-3....0...-3...-3...-2....3....3....1
..0....2....2....1....2....2....1....1....1....3....2....1....1....3....1....3
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